Finite Group Databasebeta

← #537720

Subgroups — #537720

Order 512.

3428 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2437C211yesmaximal, characteristic
2C2×#2342C211yesmaximal, characteristic
3C2×#2329C211yesmaximal, characteristic, complemented
4#14578C211yesmaximal, characteristic, complemented
5#14565C211yesmaximal, characteristic, complemented
6#14560C211yesmaximal, characteristic, complemented
7#14558C211yesmaximal, characteristic, complemented
8#14558C211yesmaximal, characteristic, complemented
9#14529C211yesmaximal, characteristic, complemented
10#14416C211yesmaximal, characteristic, complemented
11#14364C211yesmaximal, characteristic, complemented
12#14232C211yesmaximal, characteristic, complemented
13#14206C211yesmaximal, characteristic, complemented
14#14143C211yesmaximal, characteristic, complemented
15#14138C211yesmaximal, characteristic, complemented
16#14108C211yesmaximal, characteristic, complemented
17#14072C211yesmaximal, characteristic, complemented
18#14052C211yesmaximal, characteristic, complemented
19#14047C211yesmaximal, characteristic, complemented
20#14044C211yesmaximal, characteristic, complemented
21#14008C211yesmaximal, characteristic, complemented
22#13994C211yesmaximal, characteristic, complemented
23#13980C211yesmaximal, characteristic, complemented
24#13971C211yesmaximal, characteristic
25#13971C211yesmaximal, characteristic
26#13873C211yesmaximal, characteristic
27C2×#1440C211yesmaximal, characteristic
28#13814C211yesmaximal, characteristic, complemented
29#13802C211yesmaximal, characteristic, complemented
30C22⋊C42C211yesmaximal, characteristic
31#13782C211yesmaximal, characteristic, complemented
32C22×C22⋊Q8C2211yescharacteristic
33C22×C22⋊Q8C2211yescharacteristic
34C22×#117C2211yescharacteristic
35C23×C22⋊C4C2211yescharacteristic
36C23×C22⋊C4C2211yescharacteristic
37C23×C22⋊C4C2211yescharacteristic
38C23×C22⋊C4C2211yescharacteristic
39#2437C4116yescomplemented
40C2×#399C2211yescharacteristic
41C2×#396C2211yescharacteristic
42C2×#396C2211yescharacteristic
43C2×#393C2211yescharacteristic
44#2342—28no—
45#2329—28no—
46C2×#391C2211yescharacteristic, complemented
47C2×#391C2211yescharacteristic, complemented
48C2×#391C2211yescharacteristic, complemented
49C2×#389C2211yescharacteristic, complemented
50C2×#389C2211yescharacteristic, complemented
51C2×#388C2211yescharacteristic
52C2×#388C2211yescharacteristic
53C2×#388C2211yescharacteristic
54C2×#388C2211yescharacteristic
55C2×#388C2211yescharacteristic
56C2×#388C2211yescharacteristic
57C2×#388C2211yescharacteristic
58C2×#388C2211yescharacteristic
59C2×#388C2211yescharacteristic
60C2×#388C2211yescharacteristic
61C2×#387C2211yescharacteristic, complemented
62C2×#387C2211yescharacteristic, complemented
63C2×#387C2211yescharacteristic, complemented
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×#381C2211yescharacteristic
76C2×#380C2211yescharacteristic
77C2×#380C2211yescharacteristic
78C2×#380C2211yescharacteristic
79C2×#380C2211yescharacteristic
80C2×#379C2211yescharacteristic
81C2×#379C2211yescharacteristic
82C2×#379C2211yescharacteristic
83C2×C4×C4⋊C4C2211yescharacteristic, complemented
84C2×C4×C22⋊C4C2211yescharacteristic
85C2×C4×C22⋊C4C2211yescharacteristic
86C2×C4×C22⋊C4C2211yescharacteristic
87C2×C4×C22⋊C4C2211yescharacteristic
88C2×C4×C22⋊C4C2211yescharacteristic
89C2×C4×C22⋊C4C2211yescharacteristic
90C2×C4×C22⋊C4C2211yescharacteristic
91C2×C4×C22⋊C4C2211yescharacteristic
92C2×C4×C22⋊C4C2211yescharacteristic
93C2×C4×C22⋊C4C2211yescharacteristic
94C22×#95C2211yescharacteristic
95C22×#95C2211yescharacteristic
96C22×#95C2211yescharacteristic
97C22×#95C2211yescharacteristic
98#1446C2211yescharacteristic, complemented
99#1445C2211yescharacteristic, complemented
100#1445C2211yescharacteristic, complemented
101#1445C2211yescharacteristic, complemented
102#1443C2211yescharacteristic, complemented
103#1443C2211yescharacteristic, complemented
104#1442C2211yescharacteristic, complemented
105#1442C2211yescharacteristic, complemented
106#1442C2211yescharacteristic, complemented
107#1442C2211yescharacteristic, complemented
108#1441C2211yescharacteristic, complemented
109#1441C2211yescharacteristic, complemented
110#1441C2211yescharacteristic, complemented
111#1441C2211yescharacteristic, complemented
112#1441C2211yescharacteristic, complemented
113#1441C2211yescharacteristic, complemented
114#1440C2211yescharacteristic
115#1440C2211yescharacteristic
116#1440C2211yescharacteristic
117#1440C2211yescharacteristic
118#1440C2211yescharacteristic
119#1440C2211yescharacteristic
120#1440C2211yescharacteristic
121#1440C2211yescharacteristic
122#1440C2211yescharacteristic
123#1440C2211yescharacteristic
124#1440C2211yescharacteristic
125#1440C2211yescharacteristic
126#1440C2211yescharacteristic
127#1440C2211yescharacteristic
128#1439C2211yescharacteristic
129#1439C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1437C2211yescharacteristic
135#1437C2211yescharacteristic
136#1437C2211yescharacteristic
137#1437C2211yescharacteristic
138#1437C2211yescharacteristic
139#1437C2211yescharacteristic
140#1437C2211yescharacteristic
141#1437C2211yescharacteristic
142#1437C2211yescharacteristic
143#1437C2211yescharacteristic
144#1436C2211yescharacteristic, complemented
145#1436C2211yescharacteristic, complemented
146#1436C2211yescharacteristic, complemented
147#1436C2211yescharacteristic, complemented
148#1436C2211yescharacteristic, complemented
149#1436C2211yescharacteristic, complemented
150#1436C2211yescharacteristic, complemented
151#1436C2211yescharacteristic, complemented
152#1436C2211yescharacteristic, complemented
153#1436C2211yescharacteristic, complemented
154#1436C2211yescharacteristic, complemented
155#1436C2211yescharacteristic, complemented
156#1436C2211yescharacteristic, complemented
157#1436C2211yescharacteristic, complemented
158#1436C2211yescharacteristic, complemented
159#1436C2211yescharacteristic, complemented
160#1436C2211yescharacteristic, complemented
161#1436C2211yescharacteristic, complemented
162#1436C2211yescharacteristic, complemented
163#1436C2211yescharacteristic, complemented
164C4⋊#95C2211yescharacteristic, complemented
165C4⋊#95C2211yescharacteristic, complemented
166C4⋊#95C2211yescharacteristic, complemented
167C4⋊#95C2211yescharacteristic, complemented
168C4⋊#95C2211yescharacteristic, complemented
169C4⋊#95C2211yescharacteristic, complemented
170#1434C2211yescharacteristic, complemented
171#1434C2211yescharacteristic, complemented
172#1434C2211yescharacteristic, complemented
173#1434C2211yescharacteristic, complemented
174#1434C2211yescharacteristic, complemented
175#1434C2211yescharacteristic, complemented
176#1434C2211yescharacteristic, complemented
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C4×#95C2211yescharacteristic, complemented
188C4×#95C2211yescharacteristic, complemented
189C4×#95C2211yescharacteristic, complemented
190C26C2311yescharacteristic
191C23×Q8C2311yescharacteristic
192C24×C4C2311yescharacteristic
193C24×C4C2311yescharacteristic
194C24×C4C2311yescharacteristic
195C24×C4C2311yescharacteristic
196C24×C4C2311yescharacteristic
197C24×C4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C2×C22⋊Q8—24no—
201C2×C22⋊Q8—24no—
202C2×C22⋊Q8—42no—
203C2×C22⋊Q8—42no—
204C2×C22⋊Q8C2×C418yes—
205C2×C22⋊Q8C2×C418yescomplemented
206C2×#117—24no—
207C2×#117—42no—
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×C22⋊C4—24no—
229C22×C22⋊C4—24no—
230C22×C22⋊C4—24no—
231C22×C22⋊C4—24no—
232C22×C22⋊C4—42no—
233C22×C22⋊C4—42no—
234C22×C22⋊C4—42no—
235C22×C22⋊C4—42no—
236C22×C22⋊C4—42no—
237C22×C22⋊C4—42no—
238C22×C22⋊C4C2×C418yes—
239C22×C22⋊C4C2×C418yes—
240C22×C22⋊C4C2311yescharacteristic
241C22×C22⋊C4C2311yescharacteristic
242C22×C22⋊C4C2311yescharacteristic
243C22×C22⋊C4C2311yescharacteristic
244C22×C22⋊C4C2311yescharacteristic
245C22×C22⋊C4C2311yescharacteristic
246C22×C22⋊C4C2311yescharacteristic
247C22×C22⋊C4C2311yescharacteristic
248C22×C22⋊C4C2311yescharacteristic
249C22×C22⋊C4C2311yescharacteristic
250C22×C22⋊C4C2311yescharacteristic
251C22×C22⋊C4C2311yescharacteristic
252C22×C22⋊C4C2311yescharacteristic
253C22×C22⋊C4C2311yescharacteristic
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C22⋊C4C2311yescharacteristic
272C22×C22⋊C4C2311yescharacteristic
273C22×C22⋊C4C2311yescharacteristic
274C22×C42C2311yescharacteristic
275C22×C42C2311yescharacteristic
276C22×C42C2311yescharacteristic
277C22×C42C2311yescharacteristic
278C22×C42C2311yescharacteristic
279C22×C42C2311yescharacteristic
280C22×C42C2311yescharacteristic
281C22×C42C2311yescharacteristic
282C22×C42C2311yescharacteristic
283C22×C42C2311yescharacteristic
284C22×C42C2311yescharacteristic
285C22×C42C2311yescharacteristic
286C22×C42C2311yescharacteristic
287C22×C42C2311yescharacteristic
288#399C2×C418yescomplemented
289#396C2×C418yescomplemented
290#396C2×C418yescomplemented
291#393C2×C418yescomplemented
292#391—24no—
293#391—24no—
294#391—42no—
295#389—24no—
296#389—24no—
297#388—24no—
298#388—24no—
299#388—24no—
300#388—24no—
301#388—42no—
302#388—42no—
303#388—42no—
304#388—42no—
305#388—42no—
306#388—42no—
307#387—24no—
308#387—24no—
309#387—24no—
310#387—24no—
311#387—42no—
312#387—42no—
313#385—24no—
314#385—24no—
315#385—24no—
316#385C2×C418yes—
317#385C2×C418yes—
318#385C2×C418yescomplemented
319#385C2×C418yescomplemented
320#385D418yes—
321#381—24no—
322#380—24no—
323#380—24no—
324#380C2×C418yes—
325#380C2×C418yescomplemented
326#379—24no—
327#379—24no—
328#379C2×C418yes—
329C4×C4⋊C4—42no—
330C4×C22⋊C4—24no—
331C4×C22⋊C4—24no—
332C4×C22⋊C4—24no—
333C4×C22⋊C4—24no—
334C4×C22⋊C4—24no—
335C4×C22⋊C4—24no—
336C4×C22⋊C4—24no—
337C4×C22⋊C4—24no—
338C4×C22⋊C4—42no—
339C4×C22⋊C4—42no—
340C2×#95—24no—
341C2×#95—24no—
342C2×#95—42no—
343C2×#95—42no—
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
422C25—22no—
423C25—22no—
424C25—22no—
425C25—22no—
426C25—22no—
427C25—22no—
428C25—22no—
429C25—22no—
430C25—41no—
431C25—41no—
432C25—41no—
433C25—41no—
434C25—41no—
435C25—41no—
436C25C22×C414yes—
437C25C2411yescharacteristic
438C25C2411yescharacteristic
439C25C2411yescharacteristic
440C22×Q8—22no—
441C22×Q8—22no—
442C22×Q8—41no—
443C22×Q8—41no—
444C22×Q8—41no—
445C22×Q8—41no—
446C22×Q8C22×C414yes—
447C23×C4—22no—
448C23×C4—22no—
449C23×C4—22no—
450C23×C4—22no—
451C23×C4—22no—
452C23×C4—22no—
453C23×C4—22no—
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—41no—
470C23×C4—41no—
471C23×C4—41no—
472C23×C4—41no—
473C23×C4—41no—
474C23×C4—41no—
475C23×C4—41no—
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×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×C4C22×C414yes—
498C23×C4C22×C414yes—
499C23×C4C22×C414yes—
500C23×C4C22×C414yes—
501C23×C4C2×D414yes—
502C23×C4#4114yes—
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
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
531C22⋊Q8—232no—
532C22⋊Q8—416no—
533#117—416no—
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—41no—
550C2×C4⋊C4—41no—
551C2×C4⋊C4—41no—
552C2×C4⋊C4—41no—
553C2×C4⋊C4—41no—
554C2×C4⋊C4—41no—
555C2×C4⋊C4—41no—
556C2×C4⋊C4—41no—
557C2×C4⋊C4—41no—
558C2×C4⋊C4—41no—
559C2×C4⋊C4—41no—
560C2×C4⋊C4—41no—
561C2×C4⋊C4—41no—
562C2×C4⋊C4—41no—
563C2×C4⋊C4—41no—
564C2×C4⋊C4—41no—
565C2×C4⋊C4—41no—
566C2×C4⋊C4—41no—
567C2×C4⋊C4—41no—
568C2×C4⋊C4—41no—
569C2×C4⋊C4—41no—
570C2×C4⋊C4—41no—
571C2×C4⋊C4—41no—
572C2×C4⋊C4—41no—
573C2×C4⋊C4—41no—
574C2×C4⋊C4—41no—
575C2×C4⋊C4—41no—
576C2×C4⋊C4—41no—
577C2×C4⋊C4—41no—
578C2×C4⋊C4—41no—
579C2×C4⋊C4—41no—
580C2×C4⋊C4C22×C414yes—
581C2×C4⋊C4C22×C414yes—
582C2×C4⋊C4C22×C414yes—
583C2×C4⋊C4C22×C414yes—
584C2×C4⋊C4C22×C414yes—
585C2×C4⋊C4C22×C414yes—
586C2×C4⋊C4C22×C414yes—
587C2×C4⋊C4C22×C414yes—
588C2×C4⋊C4C22×C414yes—
589C2×C4⋊C4C2×D414yes—
590C2×C4⋊C4C2×D414yes—
591C2×C22⋊C4—22no—
592C2×C22⋊C4—22no—
593C2×C22⋊C4—22no—
594C2×C22⋊C4—22no—
595C2×C22⋊C4—22no—
596C2×C22⋊C4—22no—
597C2×C22⋊C4—22no—
598C2×C22⋊C4—22no—
599C2×C22⋊C4—22no—
600C2×C22⋊C4—22no—
601C2×C22⋊C4—22no—
602C2×C22⋊C4—22no—
603C2×C22⋊C4—22no—
604C2×C22⋊C4—22no—
605C2×C22⋊C4—22no—
606C2×C22⋊C4—22no—
607C2×C22⋊C4—22no—
608C2×C22⋊C4—22no—
609C2×C22⋊C4—22no—
610C2×C22⋊C4—22no—
611C2×C22⋊C4—22no—
612C2×C22⋊C4—22no—
613C2×C22⋊C4—22no—
614C2×C22⋊C4—22no—
615C2×C22⋊C4—22no—
616C2×C22⋊C4—22no—
617C2×C22⋊C4—232no—
618C2×C22⋊C4—22no—
619C2×C22⋊C4—22no—
620C2×C22⋊C4—22no—
621C2×C22⋊C4—22no—
622C2×C22⋊C4—22no—
623C2×C22⋊C4—22no—
624C2×C22⋊C4—22no—
625C2×C22⋊C4—22no—
626C2×C22⋊C4—22no—
627C2×C22⋊C4—22no—
628C2×C22⋊C4—22no—
629C2×C22⋊C4—22no—
630C2×C22⋊C4—22no—
631C2×C22⋊C4—22no—
632C2×C22⋊C4—22no—
633C2×C22⋊C4—22no—
634C2×C22⋊C4—22no—
635C2×C22⋊C4—22no—
636C2×C22⋊C4—22no—
637C2×C22⋊C4—22no—
638C2×C22⋊C4—22no—
639C2×C22⋊C4—22no—
640C2×C22⋊C4—22no—
641C2×C22⋊C4—22no—
642C2×C22⋊C4—22no—
643C2×C22⋊C4—22no—
644C2×C22⋊C4—22no—
645C2×C22⋊C4—22no—
646C2×C22⋊C4—416no—
647C2×C22⋊C4—416no—
648C2×C22⋊C4—416no—
649C2×C22⋊C4—41no—
650C2×C22⋊C4—41no—
651C2×C22⋊C4—41no—
652C2×C22⋊C4—41no—
653C2×C22⋊C4—41no—
654C2×C22⋊C4—41no—
655C2×C22⋊C4—41no—
656C2×C22⋊C4—41no—
657C2×C22⋊C4—41no—
658C2×C22⋊C4—41no—
659C2×C22⋊C4—41no—
660C2×C22⋊C4—41no—
661C2×C22⋊C4—41no—
662C2×C22⋊C4—41no—
663C2×C22⋊C4—41no—
664C2×C22⋊C4—41no—
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⋊C4—41no—
679C2×C22⋊C4C22×C414yes—
680C2×C22⋊C4C22×C414yes—
681C2×C22⋊C4C22×C414yes—
682C2×C22⋊C4C22×C414yes—
683C2×C22⋊C4C22×C414yes—
684C2×C22⋊C4C22×C414yes—
685C2×C22⋊C4C22×C414yes—
686C2×C22⋊C4C22×C414yes—
687C2×C22⋊C4C22×C414yes—
688C2×C22⋊C4C22×C414yes—
689C2×C22⋊C4C22×C414yes—
690C2×C22⋊C4C22×C414yes—
691C2×C22⋊C4C22×C414yes—
692C2×C22⋊C4C22×C414yes—
693C2×C22⋊C4C2×D414yes—
694C2×C22⋊C4C2×D414yes—
695C2×C22⋊C4#4114yes—
696C2×C22⋊C4#4114yes—
697C2×C42—22no—
698C2×C42—22no—
699C2×C42—22no—
700C2×C42—22no—
701C2×C42—22no—
702C2×C42—22no—
703C2×C42—22no—
704C2×C42—22no—
705C2×C42—22no—
706C2×C42—22no—
707C2×C42—22no—
708C2×C42—22no—
709C2×C42—22no—
710C2×C42—22no—
711C2×C42—22no—
712C2×C42—22no—
713C2×C42—41no—
714C2×C42—41no—
715C2×C42—41no—
716C2×C42—41no—
717C2×C42—41no—
718C2×C42—41no—
719C2×C42—41no—
720C2×C42—41no—
721C2×C42—41no—
722C2×C42—41no—
723C2×C42—41no—
724C2×C42—41no—
725C2×C42—41no—
726C2×C42—41no—
727C2×C42—41no—
728C2×C42—41no—
729C2×C42—41no—
730C2×C42—41no—
731C2×C42—41no—
732C2×C42—41no—
733C2×C42—41no—
734C2×C42—41no—
735C2×C42—41no—
736C2×C42—41no—
737C2×C42—41no—
738C2×C42—41no—
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—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—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#95—41no—
789#95—41no—
790#95—41no—
791#95—41no—
792#95—41no—
793#95—41no—
794#95—41no—
795#95—41no—
796#95—41no—
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#95C22×C414yes—
810#95C22×C414yes—
811#95C22×C414yes—
812#95C22×C414yes—
813#95C22×C414yes—
814#95C22×C414yes—
815#95C2×D414yes—
816#95C2×D414yes—
817C24—21no—
818C24—21no—
819C24—21no—
820C24—21no—
821C24—21no—
822C24—21no—
823C24—21no—
824C24—21no—
825C24—21no—
826C24—21no—
827C24—21no—
828C24—21no—
829C24—21no—
830C24—21no—
831C24—21no—
832C24—21no—
833C24—21no—
834C24—21no—
835C24—21no—
836C24—21no—
837C24—28no—
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—28no—
853C24—28no—
854C24—28no—
855C24—44no—
856C24—44no—
857C24—44no—
858C24—44no—
859C24—44no—
860C24—44no—
861C24—44no—
862C24—44no—
863C24—44no—
864C24—44no—
865C24—44no—
866C24—44no—
867C24—44no—
868C24—44no—
869C24—44no—
870C24—44no—
871C24—44no—
872C24—44no—
873C24—44no—
874C24—82no—
875C24—82no—
876C24—82no—
877C24—82no—
878C24—82no—
879C24—82no—
880C24—82no—
881C24—82no—
882C24—82no—
883C24—82no—
884C24—82no—
885C24—82no—
886C24C23×C412yes—
887C24C23×C412yes—
888C24C23×C412yes—
889C24C22×D412yes—
890C24C2×#4112yes—
891C24C2×#4112yes—
892C24C2×#4112yes—
893C24H(5,𝔽2)12yes—
894C24H(5,𝔽2)12yes—
895C242−1+412yes—
896C242−1+412yes—
897C24C2511yescharacteristic
898C2×Q8—28no—
899C2×Q8—44no—
900C2×Q8—44no—
901C2×Q8—82no—
902C2×Q8—82no—
903C2×Q8—82no—
904C2×Q8—82no—
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—28no—
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—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—21no—
1034C22×C4—28no—
1035C22×C4—28no—
1036C22×C4—28no—
1037C22×C4—28no—
1038C22×C4—28no—
1039C22×C4—28no—
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—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—44no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—44no—
1102C22×C4—44no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4—82no—
1106C22×C4—82no—
1107C22×C4—82no—
1108C22×C4—82no—
1109C22×C4—82no—
1110C22×C4—82no—
1111C22×C4—82no—
1112C22×C4—82no—
1113C22×C4—82no—
1114C22×C4—82no—
1115C22×C4—82no—
1116C22×C4—82no—
1117C22×C4—82no—
1118C22×C4—82no—
1119C22×C4—82no—
1120C22×C4—82no—
1121C22×C4—82no—
1122C22×C4—82no—
1123C22×C4—82no—
1124C22×C4—82no—
1125C22×C4—82no—
1126C22×C4—82no—
1127C22×C4—82no—
1128C22×C4—82no—
1129C22×C4—82no—
1130C22×C4—82no—
1131C22×C4C23×C412yes—
1132C22×C4C23×C412yes—
1133C22×C4C23×C412yes—
1134C22×C4C23×C412yes—
1135C22×C4C23×C412yes—
1136C22×C4C23×C412yes—
1137C22×C4C23×C412yes—
1138C22×C4C23×C412yes—
1139C22×C4C23×C412yes—
1140C22×C4C23×C412yes—
1141C22×C4C23×C412yes—
1142C22×C4C23×C412yes—
1143C22×C4C22×D412yes—
1144C22×C4C22×D412yes—
1145C22×C4C22×D412yes—
1146C22×C4C22×D412yes—
1147C22×C4C22×D412yes—
1148C22×C4C22×D412yes—
1149C22×C4C2×#4112yes—
1150C22×C4C2×#4112yes—
1151C22×C4C2×#4112yes—
1152C22×C4C2×#4112yes—
1153C22×C4C2×#4112yes—
1154C22×C4C2×#4112yes—
1155C22×C4H(5,𝔽2)12yes—
1156C22×C4H(5,𝔽2)12yes—
1157C4⋊C4—28no—
1158C4⋊C4—28no—
1159C4⋊C4—28no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—82no—
1170C4⋊C4—82no—
1171C4⋊C4—82no—
1172C4⋊C4—82no—
1173C4⋊C4—82no—
1174C4⋊C4—82no—
1175C4⋊C4—82no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—28no—
1181C22⋊C4—28no—
1182C22⋊C4—28no—
1183C22⋊C4—28no—
1184C22⋊C4—28no—
1185C22⋊C4—28no—
1186C22⋊C4—28no—
1187C22⋊C4—28no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—82no—
1206C22⋊C4—82no—
1207C22⋊C4—82no—
1208C22⋊C4—82no—
1209C22⋊C4C4×D4116yes—
1210C42—44no—
1211C42—44no—
1212C42—44no—
1213C42—82no—
1214C42—82no—
1215C42—82no—
1216C42—82no—
1217C42—82no—
1218C42—82no—
1219C42—82no—
1220C42—82no—
1221C42—82no—
1222C42—82no—
1223C42—82no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
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—416no—
1278C23—416no—
1279C23—416no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—416no—
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—88no—
1326C23—88no—
1327C23—88no—
1328C23—88no—
1329C23—88no—
1330C23—88no—
1331C23—88no—
1332C23—88no—
1333C23—88no—
1334C23—88no—
1335C23—88no—
1336C23C2×C4×D414yes—
1337C23C4×#4114yes—
1338C23#51814yes—
1339C23#51914yes—
1340C23#54714yes—
1341C23#54814yes—
1342C23#55214yes—
1343C23#55614yes—
1344C23C24×C411yescharacteristic
1345C23C23×D411yescharacteristic
1346C23C22×#4111yescharacteristic
1347C23C22×#4111yescharacteristic
1348C23C22×#4111yescharacteristic
1349C23C2×H(5,𝔽2)11yescharacteristic
1350C23C2×H(5,𝔽2)11yescharacteristic
1351C23C2×H(5,𝔽2)11yescharacteristic
1352C23C2×H(5,𝔽2)11yescharacteristic
1353C23C2×2−1+411yescharacteristic
1354C23C2×2−1+411yescharacteristic
1355C23#58511yescharacteristic
1356C23#58511yescharacteristic
1357C23#58511yescharacteristic
1358C23#58511yescharacteristic
1359Q8—88no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
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—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—416no—
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—88no—
1556C2×C4—88no—
1557C2×C4—88no—
1558C2×C4—88no—
1559C2×C4—88no—
1560C2×C4—88no—
1561C2×C4—88no—
1562C2×C4C2×C4×D414yes—
1563C2×C4C2×C4×D414yes—
1564C22—24no—
1565C22—24no—
1566C22—24no—
1567C22—24no—
1568C22—24no—
1569C22—24no—
1570C22—24no—
1571C22—24no—
1572C22—24no—
1573C22—24no—
1574C22—24no—
1575C22—24no—
1576C22—24no—
1577C22—24no—
1578C22—24no—
1579C22—24no—
1580C22—24no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
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—832no—
1601C22—81no—
1602C22—81no—
1603C22—81no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22#236218yes—
1610C22C22×C4×D411yescharacteristic
1611C22C2×C4×#4111yescharacteristic
1612C22C2×#51811yescharacteristic
1613C22C2×#51911yescharacteristic
1614C22#342811yescharacteristic
1615C22C4×H(5,𝔽2)11yescharacteristic
1616C22C4×H(5,𝔽2)11yescharacteristic
1617C22C2×#54711yescharacteristic
1618C22C2×#54811yescharacteristic
1619C22C2×#55211yescharacteristic
1620C22C2×#55611yescharacteristic
1621C22#348411yescharacteristic
1622C22#348811yescharacteristic
1623C22#349011yescharacteristic
1624C22#349111yescharacteristic
1625C22#349411yescharacteristic
1626C22#349411yescharacteristic
1627C22#349611yescharacteristic
1628C22#350011yescharacteristic
1629C22#351311yescharacteristic
1630C22#351311yescharacteristic
1631C22#351311yescharacteristic
1632C22#351411yescharacteristic
1633C22#351911yescharacteristic
1634C22#351911yescharacteristic
1635C22#352111yescharacteristic
1636C22#352111yescharacteristic
1637C22#353511yescharacteristic
1638C22#353511yescharacteristic
1639C22#353511yescharacteristic
1640C22#353511yescharacteristic
1641C22#353511yescharacteristic
1642C22#353611yescharacteristic
1643C22#356111yescharacteristic
1644C22#356411yescharacteristic
1645C4—24no—
1646C4—24no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—81no—
1668C4—81no—
1669C4—81no—
1670C4—81no—
1671C4—81no—
1672C4—81no—
1673C2—28no—
1674C2—44no—
1675C2—82no—
1676C2C2×#236211yescharacteristic
1677C2#3429011yescharacteristic
1678C2#3430211yescharacteristic
1679C2#3430311yescharacteristic
1680C2#3430911yescharacteristic
1681C2#3435911yescharacteristic
1682C2#3443311yescharacteristic
1683C2#4302011yescharacteristic
1684C2#4302411yescharacteristic
1685C2#4317711yescharacteristic
1686C2#4320111yescharacteristic
1687C2#4359911yescharacteristic
1688C2#4364611yescharacteristic
1689C2#4389011yescharacteristic
1690C2#4402011yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC26C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×#2329C2semidirect
4. #14578C2semidirect
5. #14565C2semidirect
6. #14560C2semidirect
7. #14558C2semidirect
8. #14558C2semidirect
9. #14529C2semidirect
10. #14416C2semidirect
11. #14364C2semidirect
12. #14232C2semidirect
13. #14206C2semidirect
14. #14143C2semidirect
15. #14138C2semidirect
16. #14108C2semidirect
17. #14072C2semidirect
18. #14052C2semidirect
19. #14047C2semidirect
20. #14044C2semidirect
21. #14008C2semidirect
22. #13994C2semidirect
23. #13980C2semidirect
28. #13814C2semidirect
29. #13802C2semidirect
31. #13782C2semidirect
39. #2437C4semidirect
46. C2×#391C22semidirect
47. C2×#391C22semidirect
48. C2×#391C22semidirect
49. C2×#389C22semidirect
50. C2×#389C22semidirect
61. C2×#387C22semidirect
62. C2×#387C22semidirect
63. C2×#387C22semidirect
64. C2×#387C22semidirect
65. C2×#387C22semidirect
66. C2×#387C22semidirect
83. C2×C4×C4⋊C4C22semidirect
98. #1446C22semidirect
99. #1445C22semidirect
100. #1445C22semidirect
101. #1445C22semidirect
102. #1443C22semidirect
103. #1443C22semidirect
104. #1442C22semidirect
105. #1442C22semidirect
106. #1442C22semidirect
107. #1442C22semidirect
108. #1441C22semidirect
109. #1441C22semidirect
110. #1441C22semidirect
111. #1441C22semidirect
112. #1441C22semidirect
113. #1441C22semidirect
144. #1436C22semidirect
145. #1436C22semidirect
146. #1436C22semidirect
147. #1436C22semidirect
148. #1436C22semidirect
149. #1436C22semidirect
150. #1436C22semidirect
151. #1436C22semidirect
152. #1436C22semidirect
153. #1436C22semidirect
154. #1436C22semidirect
155. #1436C22semidirect
156. #1436C22semidirect
157. #1436C22semidirect
158. #1436C22semidirect
159. #1436C22semidirect
160. #1436C22semidirect
161. #1436C22semidirect
162. #1436C22semidirect
163. #1436C22semidirect
164. C4⋊#95C22semidirect
165. C4⋊#95C22semidirect
166. C4⋊#95C22semidirect
167. C4⋊#95C22semidirect
168. C4⋊#95C22semidirect
169. C4⋊#95C22semidirect
170. #1434C22semidirect
171. #1434C22semidirect
172. #1434C22semidirect
173. #1434C22semidirect
174. #1434C22semidirect
175. #1434C22semidirect
176. #1434C22semidirect
187. C4×#95C22semidirect
188. C4×#95C22semidirect
189. C4×#95C22semidirect
205. C2×C22⋊Q8C2×C4semidirect
288. #399C2×C4semidirect
289. #396C2×C4semidirect
290. #396C2×C4semidirect
291. #393C2×C4semidirect
318. #385C2×C4semidirect
319. #385C2×C4semidirect
325. #380C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#24372
C2×#23422
C2×#23292
#145782
#145652
#145602
#145582
#145292
#144162
#143642
#142322
#142062
#141432
#141382
#141082
#140722
#140522
#140472
#140442
#140082
#139942
#139802
#139712
#138732
C2×#14402
#138142
#138022
C22⋊C422
#137822