Finite Group Databasebeta

← #688406

Subgroups — #688406

Order 512.

3390 conjugacy classes of subgroups.

The subgroup lattice has 1721 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2438C211yesmaximal, characteristic, complemented
2C2×#2626C211yesmaximal, characteristic
3C2×#2342C211yesmaximal, characteristic
4C2×#2315C211yesmaximal, characteristic
5#16324C211yesmaximal, characteristic, complemented
6#16322C211yesmaximal, characteristic, complemented
7#16321C211yesmaximal, characteristic, complemented
8#16318C211yesmaximal, characteristic, complemented
9#15770C211yesmaximal, characteristic, complemented
10#15769C211yesmaximal, characteristic, complemented
11#15491C211yesmaximal, characteristic, complemented
12#15436C211yesmaximal, characteristic, complemented
13#15433C211yesmaximal, characteristic, complemented
14#15432C211yesmaximal, characteristic, complemented
15#15426C211yesmaximal, characteristic, complemented
16#15294C211yesmaximal, characteristic, complemented
17#14936C211yesmaximal, characteristic, complemented
18#14935C211yesmaximal, characteristic, complemented
19#14797C211yesmaximal, characteristic, complemented
20#14758C211yesmaximal, characteristic, complemented
21#14752C211yesmaximal, characteristic, complemented
22#14752C211yesmaximal, characteristic, complemented
23#14742C211yesmaximal, characteristic, complemented
24#14736C211yesmaximal, characteristic, complemented
25#14128C211yesmaximal, characteristic, complemented
26#14127C211yesmaximal, characteristic
27#14004C211yesmaximal, characteristic, complemented
28#13980C211yesmaximal, characteristic, complemented
29#13877C211yesmaximal, characteristic
30#13869C211yesmaximal, characteristic
31C2×#1440C211yesmaximal, characteristic
32C22×C22⋊Q8C2211yescharacteristic
33C22×#117C2211yescharacteristic
34C23×C22⋊C4C2211yescharacteristic
35C23×C22⋊C4C2211yescharacteristic
36C23×C22⋊C4C2211yescharacteristic
37C23×C22⋊C4C2211yescharacteristic
38C23×C22⋊C4C2211yescharacteristic
39#2626—28no—
40#2438—28no—
41C2×#400C2211yescharacteristic, complemented
42C2×#399C2211yescharacteristic
43C2×#399C2211yescharacteristic
44C2×#398C2211yescharacteristic, complemented
45C2×#398C2211yescharacteristic, complemented
46C2×#398C2211yescharacteristic, complemented
47C2×#396C2211yescharacteristic
48C2×#396C2211yescharacteristic
49C2×#396C2211yescharacteristic
50C2×#396C2211yescharacteristic
51C2×#395C2211yescharacteristic, complemented
52C2×#395C2211yescharacteristic, complemented
53C2×#393C2211yescharacteristic
54C2×#393C2211yescharacteristic
55#2342—28no—
56#2315—28no—
57C2×#391C2211yescharacteristic, complemented
58C2×#389C2211yescharacteristic, complemented
59C2×#389C2211yescharacteristic, complemented
60C2×#388C2211yescharacteristic
61C2×#388C2211yescharacteristic
62C2×#388C2211yescharacteristic
63C2×#388C2211yescharacteristic
64C2×#387C2211yescharacteristic, complemented
65C2×#387C2211yescharacteristic, complemented
66C2×#387C2211yescharacteristic, complemented
67C2×#385C2211yescharacteristic
68C2×#385C2211yescharacteristic
69C2×#385C2211yescharacteristic
70C2×#385C2211yescharacteristic
71C2×#385C2211yescharacteristic
72C2×#385C2211yescharacteristic
73C2×#385C2211yescharacteristic
74C2×#385C2211yescharacteristic
75C2×#385C2211yescharacteristic
76C2×#385C2211yescharacteristic
77C2×#385C2211yescharacteristic
78C2×#385C2211yescharacteristic
79C2×#385C2211yescharacteristic
80C2×#385C2211yescharacteristic
81C2×#385C2211yescharacteristic
82C2×#385C2211yescharacteristic
83C2×#385C2211yescharacteristic
84C2×#385C2211yescharacteristic
85C2×#381C2211yescharacteristic
86C2×#381C2211yescharacteristic
87C2×#381C2211yescharacteristic
88C2×#380C2211yescharacteristic
89C2×#380C2211yescharacteristic
90C2×#380C2211yescharacteristic
91C2×#380C2211yescharacteristic
92C2×#380C2211yescharacteristic
93C2×#380C2211yescharacteristic
94C2×#380C2211yescharacteristic
95C2×#380C2211yescharacteristic
96C2×#379C2211yescharacteristic
97C2×#379C2211yescharacteristic
98C2×C4×C22⋊C4C2211yescharacteristic
99C2×C4×C22⋊C4C2211yescharacteristic
100C2×C4×C22⋊C4C2211yescharacteristic
101C22×#95C2211yescharacteristic
102C22×#95C2211yescharacteristic
103C22×#95C2211yescharacteristic
104C22×#95C2211yescharacteristic
105#1446C2211yescharacteristic, complemented
106#1445C2211yescharacteristic, complemented
107#1445C2211yescharacteristic, complemented
108#1445C2211yescharacteristic, complemented
109#1445C2211yescharacteristic, complemented
110#1445C2211yescharacteristic, complemented
111#1445C2211yescharacteristic, complemented
112#1445C2211yescharacteristic, complemented
113#1445C2211yescharacteristic, complemented
114#1444C2211yescharacteristic, complemented
115#1444C2211yescharacteristic, complemented
116#1444C2211yescharacteristic, complemented
117#1444C2211yescharacteristic, complemented
118#1444C2211yescharacteristic, complemented
119#1444C2211yescharacteristic, complemented
120#1444C2211yescharacteristic, complemented
121#1444C2211yescharacteristic, complemented
122#1444C2211yescharacteristic, complemented
123#1443C2211yescharacteristic, complemented
124#1443C2211yescharacteristic, complemented
125#1443C2211yescharacteristic, complemented
126#1442C2211yescharacteristic, complemented
127#1442C2211yescharacteristic, complemented
128#1442C2211yescharacteristic, complemented
129#1442C2211yescharacteristic, complemented
130#1442C2211yescharacteristic, complemented
131#1442C2211yescharacteristic, 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#1441C2211yescharacteristic, complemented
142#1441C2211yescharacteristic, complemented
143#1441C2211yescharacteristic, complemented
144#1441C2211yescharacteristic, complemented
145#1441C2211yescharacteristic, complemented
146#1441C2211yescharacteristic, complemented
147#1440C2211yescharacteristic
148#1440C2211yescharacteristic
149#1440C2211yescharacteristic
150#1440C2211yescharacteristic
151#1440C2211yescharacteristic
152#1440C2211yescharacteristic
153#1440C2211yescharacteristic
154#1440C2211yescharacteristic
155#1440C2211yescharacteristic
156#1440C2211yescharacteristic
157#1440C2211yescharacteristic
158#1440C2211yescharacteristic
159#1439C2211yescharacteristic
160#1439C2211yescharacteristic
161#1439C2211yescharacteristic
162#1439C2211yescharacteristic
163#1439C2211yescharacteristic
164#1439C2211yescharacteristic
165#1439C2211yescharacteristic
166#1439C2211yescharacteristic
167#1436C2211yescharacteristic, complemented
168#1436C2211yescharacteristic, complemented
169#1436C2211yescharacteristic, complemented
170#1436C2211yescharacteristic, complemented
171#1436C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175C4⋊#95C2211yescharacteristic, complemented
176#1434C2211yescharacteristic, complemented
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C22⋊#95C2211yescharacteristic
191C26C2311yescharacteristic
192C23×Q8C2311yescharacteristic
193C24×C4C2311yescharacteristic
194C24×C4C2311yescharacteristic
195C24×C4C2311yescharacteristic
196C24×C4C2311yescharacteristic
197C24×C4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C24×C4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C2×C22⋊Q8—24no—
204C2×C22⋊Q8—24no—
205C2×C22⋊Q8—42no—
206C2×#117—24no—
207C2×#117—24no—
208C2×#117—42no—
209C22×C4⋊C4C2311yescharacteristic
210C22×C4⋊C4C2311yescharacteristic
211C22×C4⋊C4C2311yescharacteristic
212C22×C4⋊C4C2311yescharacteristic
213C22×C4⋊C4C2311yescharacteristic
214C22×C4⋊C4C2311yescharacteristic
215C22×C4⋊C4C2311yescharacteristic
216C22×C4⋊C4C2311yescharacteristic
217C22×C4⋊C4C2311yescharacteristic
218C22×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
235C22×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C22⋊C4—24no—
239C22×C22⋊C4—24no—
240C22×C22⋊C4—24no—
241C22×C22⋊C4—24no—
242C22×C22⋊C4—24no—
243C22×C22⋊C4—24no—
244C22×C22⋊C4—24no—
245C22×C22⋊C4—24no—
246C22×C22⋊C4—24no—
247C22×C22⋊C4—24no—
248C22×C22⋊C4—42no—
249C22×C22⋊C4—42no—
250C22×C22⋊C4—42no—
251C22×C22⋊C4—42no—
252C22×C22⋊C4Q818yescomplemented
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×C42C2311yescharacteristic
286C22×C42C2311yescharacteristic
287C22×C42C2311yescharacteristic
288C22×C42C2311yescharacteristic
289#400—24no—
290#399—24no—
291#399—24no—
292#398—24no—
293#398—24no—
294#398—42no—
295#396—24no—
296#396—24no—
297#396—24no—
298#396—24no—
299#395—24no—
300#395—42no—
301#393—24no—
302#393—24no—
303#391—24no—
304#389—24no—
305#389—42no—
306#388—24no—
307#388—24no—
308#388—24no—
309#388—24no—
310#387—24no—
311#387—24no—
312#387—42no—
313#385—24no—
314#385—24no—
315#385—24no—
316#385—24no—
317#385—24no—
318#385—24no—
319#385—24no—
320#385—24no—
321#385—24no—
322#385—24no—
323#385—24no—
324#385—24no—
325#385—24no—
326#385—42no—
327#385—42no—
328#385—42no—
329#385—42no—
330#385D418yes—
331#381—24no—
332#381—24no—
333#381—24no—
334#380—24no—
335#380—24no—
336#380—24no—
337#380—24no—
338#380—24no—
339#380—24no—
340#380—24no—
341#380—42no—
342#379—24no—
343#379D418yes—
344C4×C22⋊C4—24no—
345C4×C22⋊C4—24no—
346C4×C22⋊C4—24no—
347C2×#95—24no—
348C2×#95—42no—
349C2×#95—42no—
350C2×#95—42no—
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
429C25—22no—
430C25—22no—
431C25—22no—
432C25—22no—
433C25—41no—
434C25—41no—
435C25—41no—
436C25—41no—
437C25—41no—
438C25—41no—
439C25—41no—
440C25—41no—
441C25C2×D414yes—
442C25C2×Q814yes—
443C25#4114yes—
444C25C2411yescharacteristic
445C25C2411yescharacteristic
446C25C2411yescharacteristic
447C22×Q8—22no—
448C22×Q8—22no—
449C22×Q8—41no—
450C22×Q8—41no—
451C22×Q8—41no—
452C22×Q8—41no—
453C22×Q8—41no—
454C23×C4—22no—
455C23×C4—22no—
456C23×C4—22no—
457C23×C4—22no—
458C23×C4—22no—
459C23×C4—22no—
460C23×C4—22no—
461C23×C4—22no—
462C23×C4—22no—
463C23×C4—22no—
464C23×C4—22no—
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—22no—
477C23×C4—22no—
478C23×C4—22no—
479C23×C4—22no—
480C23×C4—22no—
481C23×C4—22no—
482C23×C4—22no—
483C23×C4—22no—
484C23×C4—22no—
485C23×C4—41no—
486C23×C4—41no—
487C23×C4—41no—
488C23×C4—41no—
489C23×C4—41no—
490C23×C4—41no—
491C23×C4—41no—
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×C4—41no—
508C23×C4—41no—
509C23×C4—41no—
510C23×C4—41no—
511C23×C4—41no—
512C23×C4—41no—
513C23×C4—41no—
514C23×C4—41no—
515C23×C4—41no—
516C23×C4—41no—
517C23×C4—41no—
518C23×C4—41no—
519C23×C4—41no—
520C23×C4—41no—
521C23×C4C2×D414yes—
522C23×C4C2×Q814yes—
523C23×C4C2×Q814yes—
524C23×C4C2411yescharacteristic
525C23×C4C2411yescharacteristic
526C23×C4C2411yescharacteristic
527C23×C4C2411yescharacteristic
528C23×C4C2411yescharacteristic
529C23×C4C2411yescharacteristic
530C23×C4C2411yescharacteristic
531C23×C4C2411yescharacteristic
532C23×C4C2411yescharacteristic
533C23×C4C2411yescharacteristic
534C23×C4C2411yescharacteristic
535C23×C4C2411yescharacteristic
536C23×C4C2411yescharacteristic
537C23×C4C2411yescharacteristic
538C23×C4C2411yescharacteristic
539C23×C4C2411yescharacteristic
540C23×C4C2411yescharacteristic
541C23×C4C2411yescharacteristic
542C23×C4C2411yescharacteristic
543C23×C4C2411yescharacteristic
544C23×C4C2411yescharacteristic
545C23×C4C2411yescharacteristic
546C23×C4C2411yescharacteristic
547C23×C4C2411yescharacteristic
548C23×C4C2411yescharacteristic
549C23×C4C2411yescharacteristic
550C23×C4C2411yescharacteristic
551C23×C4C2411yescharacteristic
552C22⋊Q8—416no—
553#117—416no—
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—41no—
589C2×C4⋊C4—41no—
590C2×C4⋊C4—41no—
591C2×C4⋊C4—41no—
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⋊C4—41no—
639C2×C4⋊C4C2×D414yes—
640C2×C4⋊C4C2×D414yes—
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—22no—
692C2×C22⋊C4—22no—
693C2×C22⋊C4—22no—
694C2×C22⋊C4—22no—
695C2×C22⋊C4—22no—
696C2×C22⋊C4—22no—
697C2×C22⋊C4—22no—
698C2×C22⋊C4—22no—
699C2×C22⋊C4—22no—
700C2×C22⋊C4—416no—
701C2×C22⋊C4—416no—
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—416no—
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⋊C4C2×D414yes—
730C2×C22⋊C4C2×D414yes—
731C2×C22⋊C4C2×D414yes—
732C2×C22⋊C4C2×D414yes—
733C2×C22⋊C4C2×D414yes—
734C2×C22⋊C4C2×D414yes—
735C2×C22⋊C4C2×D414yes—
736C2×C22⋊C4C2×D414yes—
737C2×C22⋊C4C2×Q814yes—
738C2×C22⋊C4C2×Q814yes—
739C2×C22⋊C4C2×Q814yes—
740C2×C22⋊C4C2×Q814yes—
741C2×C22⋊C4#4114yes—
742C2×C42—22no—
743C2×C42—22no—
744C2×C42—22no—
745C2×C42—22no—
746C2×C42—22no—
747C2×C42—22no—
748C2×C42—41no—
749C2×C42—41no—
750C2×C42—41no—
751C2×C42—41no—
752C2×C42—41no—
753C2×C42—41no—
754#95—22no—
755#95—22no—
756#95—22no—
757#95—22no—
758#95—22no—
759#95—22no—
760#95—22no—
761#95—22no—
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—22no—
798#95—22no—
799#95—22no—
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#95C2×D414yes—
831#95C2×D414yes—
832C24—21no—
833C24—21no—
834C24—21no—
835C24—21no—
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—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—28no—
865C24—28no—
866C24—28no—
867C24—28no—
868C24—28no—
869C24—28no—
870C24—44no—
871C24—44no—
872C24—44no—
873C24—44no—
874C24—44no—
875C24—44no—
876C24—44no—
877C24—44no—
878C24—44no—
879C24—44no—
880C24—44no—
881C24—44no—
882C24—82no—
883C24—82no—
884C24—82no—
885C24—82no—
886C24—82no—
887C24—82no—
888C24—82no—
889C24—82no—
890C24—82no—
891C24—82no—
892C24—82no—
893C24—82no—
894C24—82no—
895C24—82no—
896C24—82no—
897C24—82no—
898C24C22⋊Q8116yes—
899C24C22×D412yes—
900C24C22×D412yes—
901C24C22×D412yes—
902C24C22×D412yes—
903C24C22×Q812yes—
904C24C22×Q812yes—
905C24C22×Q812yes—
906C24C2×#4112yes—
907C24C2×#4112yes—
908C24C2×#4112yes—
909C24C2×#4112yes—
910C24H(5,𝔽2)12yes—
911C242−1+412yes—
912C24C2511yescharacteristic
913C2×Q8—44no—
914C2×Q8—44no—
915C2×Q8—82no—
916C2×Q8—82no—
917C2×Q8—82no—
918C2×Q8—82no—
919C2×Q8—82no—
920C22×C4—28no—
921C22×C4—28no—
922C22×C4—28no—
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—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—28no—
1032C22×C4—28no—
1033C22×C4—28no—
1034C22×C4—28no—
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—44no—
1106C22×C4—44no—
1107C22×C4—44no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—44no—
1111C22×C4—44no—
1112C22×C4—44no—
1113C22×C4—44no—
1114C22×C4—44no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—44no—
1123C22×C4—44no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—82no—
1129C22×C4—82no—
1130C22×C4—82no—
1131C22×C4—82no—
1132C22×C4—82no—
1133C22×C4—82no—
1134C22×C4—82no—
1135C22×C4—82no—
1136C22×C4—82no—
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×C4—82no—
1153C22×C4—82no—
1154C22×C4—82no—
1155C22×C4—82no—
1156C22×C4—82no—
1157C22×C4—82no—
1158C22×C4—82no—
1159C22×C4—82no—
1160C22×C4—82no—
1161C22×C4—82no—
1162C22×C4—82no—
1163C22×C4—82no—
1164C22×C4—82no—
1165C22×C4—82no—
1166C22×C4—82no—
1167C22×C4—82no—
1168C22×C4C22×D412yes—
1169C22×C4C22×D412yes—
1170C22×C4C22×D412yes—
1171C22×C4C22×D412yes—
1172C22×C4C22×D412yes—
1173C22×C4C22×D412yes—
1174C22×C4C22×D412yes—
1175C22×C4C22×D412yes—
1176C22×C4C22×D412yes—
1177C22×C4C22×D412yes—
1178C22×C4C22×Q812yes—
1179C22×C4C22×Q812yes—
1180C22×C4C22×Q812yes—
1181C22×C4C22×Q812yes—
1182C22×C4C2×#4112yes—
1183C22×C4C2×#4112yes—
1184C22×C4H(5,𝔽2)12yes—
1185C22×C4H(5,𝔽2)12yes—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—82no—
1197C4⋊C4—82no—
1198C4⋊C4—82no—
1199C4⋊C4—82no—
1200C4⋊C4—82no—
1201C4⋊C4—82no—
1202C4⋊C4—82no—
1203C4⋊C4—82no—
1204C4⋊C4—82no—
1205C4⋊C4—82no—
1206C4⋊C4—82no—
1207C4⋊C4—82no—
1208C4⋊C4—82no—
1209C4⋊C4—82no—
1210C4⋊C4—82no—
1211C4⋊C4—82no—
1212C4⋊C4—82no—
1213C4⋊C4—82no—
1214C4⋊C4—82no—
1215C22⋊C4—28no—
1216C22⋊C4—28no—
1217C22⋊C4—28no—
1218C22⋊C4—28no—
1219C22⋊C4—28no—
1220C22⋊C4—28no—
1221C22⋊C4—28no—
1222C22⋊C4—28no—
1223C22⋊C4—28no—
1224C22⋊C4—28no—
1225C22⋊C4—28no—
1226C22⋊C4—28no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
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—82no—
1244C22⋊C4—82no—
1245C22⋊C4—82no—
1246C22⋊C4—82no—
1247C42—44no—
1248C42—44no—
1249C42—82no—
1250C42—82no—
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—22no—
1285C23—22no—
1286C23—22no—
1287C23—22no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—232no—
1316C23—416no—
1317C23—416no—
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—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—88no—
1351C23—88no—
1352C23—88no—
1353C23—88no—
1354C23—88no—
1355C23—88no—
1356C23—88no—
1357C23—88no—
1358C23—88no—
1359C23—88no—
1360C23—88no—
1361C23—88no—
1362C23C2×C22⋊Q814yes—
1363C23C2×C22⋊Q814yes—
1364C23C2×C22⋊Q814yes—
1365C23#52514yes—
1366C23#53914yes—
1367C23D4214yes—
1368C23#54714yes—
1369C23D4×Q814yes—
1370C23#55414yes—
1371C23C23×D411yescharacteristic
1372C23C23×D411yescharacteristic
1373C23C23×Q811yescharacteristic
1374C23C22×#4111yescharacteristic
1375C23C22×#4111yescharacteristic
1376C23C2×H(5,𝔽2)11yescharacteristic
1377C23C2×H(5,𝔽2)11yescharacteristic
1378C23C2×H(5,𝔽2)11yescharacteristic
1379C23C2×2−1+411yescharacteristic
1380C23#58511yescharacteristic
1381C23#58511yescharacteristic
1382C23#58511yescharacteristic
1383C23#58511yescharacteristic
1384C23#58511yescharacteristic
1385C23#58511yescharacteristic
1386Q8—88no—
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—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
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—416no—
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—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—88no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4—88no—
1589C2×C4—88no—
1590C2×C4—88no—
1591C2×C4—88no—
1592C2×C4—88no—
1593C22—24no—
1594C22—24no—
1595C22—24no—
1596C22—24no—
1597C22—24no—
1598C22—24no—
1599C22—24no—
1600C22—24no—
1601C22—24no—
1602C22—24no—
1603C22—24no—
1604C22—24no—
1605C22—24no—
1606C22—24no—
1607C22—24no—
1608C22—24no—
1609C22—24no—
1610C22—24no—
1611C22—24no—
1612C22—24no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—832no—
1638C22#244918yes—
1639C22C22×C22⋊Q811yescharacteristic
1640C22C2×#52511yescharacteristic
1641C22C2×#53911yescharacteristic
1642C22#345811yescharacteristic
1643C22#345811yescharacteristic
1644C22C2×D4211yescharacteristic
1645C22C2×#54711yescharacteristic
1646C22C2×D4×Q811yescharacteristic
1647C22C2×#55411yescharacteristic
1648C22#348511yescharacteristic
1649C22#348511yescharacteristic
1650C22#348511yescharacteristic
1651C22#348811yescharacteristic
1652C22#349011yescharacteristic
1653C22#349111yescharacteristic
1654C22#349111yescharacteristic
1655C22#349111yescharacteristic
1656C22#349611yescharacteristic
1657C22#349611yescharacteristic
1658C22#349611yescharacteristic
1659C22#350011yescharacteristic
1660C22#350111yescharacteristic
1661C22#350111yescharacteristic
1662C22#351311yescharacteristic
1663C22#351411yescharacteristic
1664C22#352111yescharacteristic
1665C22#352111yescharacteristic
1666C22#353311yescharacteristic
1667C22#353411yescharacteristic
1668C22#353511yescharacteristic
1669C22#354211yescharacteristic
1670C22#354511yescharacteristic
1671C22#356111yescharacteristic
1672C22#356411yescharacteristic
1673C22#356411yescharacteristic
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—81no—
1693C4—81no—
1694C4—81no—
1695C4—81no—
1696C4—81no—
1697C4—81no—
1698C4—81no—
1699C4—81no—
1700C4—81no—
1701C4—81no—
1702C2—28no—
1703C2—44no—
1704C2—44no—
1705C2C2×#244911yescharacteristic
1706C2#3509011yescharacteristic
1707C2#3535911yescharacteristic
1708C2#3576211yescharacteristic
1709C2#3601011yescharacteristic
1710C2#3768811yescharacteristic
1711C2#3810211yescharacteristic
1712C2#3895911yescharacteristic
1713C2#3936411yescharacteristic
1714C2#4063911yescharacteristic
1715C2#4142611yescharacteristic
1716C2#4301711yescharacteristic
1717C2#4301811yescharacteristic
1718C2#4349011yescharacteristic
1719C2#4390411yescharacteristic
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×#2438C2semidirect
5. #16324C2semidirect
6. #16322C2semidirect
7. #16321C2semidirect
8. #16318C2semidirect
9. #15770C2semidirect
10. #15769C2semidirect
11. #15491C2semidirect
12. #15436C2semidirect
13. #15433C2semidirect
14. #15432C2semidirect
15. #15426C2semidirect
16. #15294C2semidirect
17. #14936C2semidirect
18. #14935C2semidirect
19. #14797C2semidirect
20. #14758C2semidirect
21. #14752C2semidirect
22. #14752C2semidirect
23. #14742C2semidirect
24. #14736C2semidirect
25. #14128C2semidirect
27. #14004C2semidirect
28. #13980C2semidirect
41. C2×#400C22semidirect
44. C2×#398C22semidirect
45. C2×#398C22semidirect
46. C2×#398C22semidirect
51. C2×#395C22semidirect
52. C2×#395C22semidirect
57. C2×#391C22semidirect
58. C2×#389C22semidirect
59. C2×#389C22semidirect
64. C2×#387C22semidirect
65. C2×#387C22semidirect
66. C2×#387C22semidirect
105. #1446C22semidirect
106. #1445C22semidirect
107. #1445C22semidirect
108. #1445C22semidirect
109. #1445C22semidirect
110. #1445C22semidirect
111. #1445C22semidirect
112. #1445C22semidirect
113. #1445C22semidirect
114. #1444C22semidirect
115. #1444C22semidirect
116. #1444C22semidirect
117. #1444C22semidirect
118. #1444C22semidirect
119. #1444C22semidirect
120. #1444C22semidirect
121. #1444C22semidirect
122. #1444C22semidirect
123. #1443C22semidirect
124. #1443C22semidirect
125. #1443C22semidirect
126. #1442C22semidirect
127. #1442C22semidirect
128. #1442C22semidirect
129. #1442C22semidirect
130. #1442C22semidirect
131. #1442C22semidirect
132. #1441C22semidirect
133. #1441C22semidirect
134. #1441C22semidirect
135. #1441C22semidirect
136. #1441C22semidirect
137. #1441C22semidirect
138. #1441C22semidirect
139. #1441C22semidirect
140. #1441C22semidirect
141. #1441C22semidirect
142. #1441C22semidirect
143. #1441C22semidirect
144. #1441C22semidirect
145. #1441C22semidirect
146. #1441C22semidirect
167. #1436C22semidirect
168. #1436C22semidirect
169. #1436C22semidirect
170. #1436C22semidirect
171. #1436C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. C4⋊#95C22semidirect
176. #1434C22semidirect
252. C22×C22⋊C4Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#24382
C2×#26262
C2×#23422
C2×#23152
#163242
#163222
#163212
#163182
#157702
#157692
#154912
#154362
#154332
#154322
#154262
#152942
#149362
#149352
#147972
#147582
#147522
#147422
#147362
#141282
#141272
#140042
#139802
#138772
#138692
C2×#14402