Finite Group Databasebeta

← #540645

Subgroups — #540645

Order 512.

3410 conjugacy classes of subgroups.

The subgroup lattice has 1683 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2437C211yesmaximal, characteristic
2C2×#2362C211yesmaximal, characteristic, complemented
3C2×#2342C211yesmaximal, characteristic
4#14584C211yesmaximal, characteristic, complemented
5#14514C211yesmaximal, characteristic, complemented
6#14422C211yesmaximal, characteristic, complemented
7#14409C211yesmaximal, characteristic, complemented
8#14372C211yesmaximal, characteristic, complemented
9#14365C211yesmaximal, characteristic
10#14364C211yesmaximal, characteristic, complemented
11#14362C211yesmaximal, characteristic, complemented
12#14222C211yesmaximal, characteristic, complemented
13#14218C211yesmaximal, characteristic, complemented
14#14213C211yesmaximal, characteristic, complemented
15#14204C211yesmaximal, characteristic, complemented
16#14198C211yesmaximal, characteristic, complemented
17#14178C211yesmaximal, characteristic, complemented
18#14108C211yesmaximal, characteristic, complemented
19#14072C211yesmaximal, characteristic, complemented
20#14072C211yesmaximal, characteristic, complemented
21#14008C211yesmaximal, characteristic, complemented
22#13983C211yesmaximal, characteristic, complemented
23#13971C211yesmaximal, characteristic
24#13969C211yesmaximal, characteristic, complemented
25#13873C211yesmaximal, characteristic
26#13868C211yesmaximal, characteristic
27C4×#393C211yesmaximal, characteristic, complemented
28#13801C211yesmaximal, characteristic, complemented
29C22⋊C42C211yesmaximal, characteristic
30#13789C211yesmaximal, characteristic, complemented
31#13789C211yesmaximal, characteristic, complemented
32C22×C22⋊Q8C2211yescharacteristic
33C22×C22⋊Q8C2211yescharacteristic
34C22×C4×Q8C2211yescharacteristic, complemented
35C22×#117C2211yescharacteristic
36C22×#117C2211yescharacteristic
37C23×C22⋊C4C2211yescharacteristic
38C23×C22⋊C4C2211yescharacteristic
39C23×C22⋊C4C2211yescharacteristic
40#2437C4116yescomplemented
41C2×#399C2211yescharacteristic
42C2×#396C2211yescharacteristic
43C2×#396C2211yescharacteristic
44C2×#393C2211yescharacteristic
45#2362—28no—
46#2342—28no—
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×#385C2211yescharacteristic
67C2×#385C2211yescharacteristic
68C2×#385C2211yescharacteristic
69C2×#385C2211yescharacteristic
70C2×#385C2211yescharacteristic
71C2×#385C2211yescharacteristic
72C2×#385C2211yescharacteristic
73C2×#381C2211yescharacteristic
74C2×#381C2211yescharacteristic
75C2×#380C2211yescharacteristic
76C2×#380C2211yescharacteristic
77C2×#380C2211yescharacteristic
78C2×#380C2211yescharacteristic
79C2×#379C2211yescharacteristic
80C2×#379C2211yescharacteristic
81C2×#379C2211yescharacteristic
82C2×#379C2211yescharacteristic
83C2×C4×C4⋊C4C2211yescharacteristic, complemented
84C2×C4×C4⋊C4C2211yescharacteristic, complemented
85C2×C4×C4⋊C4C2211yescharacteristic, complemented
86C2×C4×C4⋊C4C2211yescharacteristic, complemented
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
94C2×C4×C22⋊C4C2211yescharacteristic
95C2×C4×C22⋊C4C2211yescharacteristic
96#1446C2211yescharacteristic, complemented
97#1445C2211yescharacteristic, complemented
98#1445C2211yescharacteristic, complemented
99#1443C2211yescharacteristic, complemented
100#1442C2211yescharacteristic, complemented
101#1442C2211yescharacteristic, complemented
102#1442C2211yescharacteristic, complemented
103#1442C2211yescharacteristic, complemented
104#1442C2211yescharacteristic, complemented
105#1441C2211yescharacteristic, complemented
106#1441C2211yescharacteristic, complemented
107#1441C2211yescharacteristic, 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#1439C2211yescharacteristic
121#1439C2211yescharacteristic
122#1439C2211yescharacteristic
123#1439C2211yescharacteristic
124#1439C2211yescharacteristic
125#1439C2211yescharacteristic
126#1439C2211yescharacteristic
127#1439C2211yescharacteristic
128#1439C2211yescharacteristic
129#1439C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1437C2211yescharacteristic
133#1437C2211yescharacteristic
134#1437C2211yescharacteristic
135#1437C2211yescharacteristic
136#1437C2211yescharacteristic
137#1437C2211yescharacteristic
138#1437C2211yescharacteristic
139#1437C2211yescharacteristic
140#1437C2211yescharacteristic
141#1437C2211yescharacteristic
142#1437C2211yescharacteristic
143#1437C2211yescharacteristic
144#1437C2211yescharacteristic
145#1437C2211yescharacteristic
146#1437C2211yescharacteristic
147#1437C2211yescharacteristic
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
164#1436C2211yescharacteristic, complemented
165#1436C2211yescharacteristic, complemented
166C4⋊#95C2211yescharacteristic, complemented
167C4⋊#95C2211yescharacteristic, complemented
168C4⋊#95C2211yescharacteristic, complemented
169C4⋊#95C2211yescharacteristic, complemented
170C4⋊#95C2211yescharacteristic, complemented
171#1434C2211yescharacteristic, complemented
172#1434C2211yescharacteristic, complemented
173#1434C2211yescharacteristic, complemented
174#1434C2211yescharacteristic, complemented
175#1434C2211yescharacteristic, complemented
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C4×#95C2211yescharacteristic, complemented
187C4×#95C2211yescharacteristic, complemented
188C4×#95C2211yescharacteristic, complemented
189C4×#95C2211yescharacteristic, complemented
190C26C2311yescharacteristic
191C23×Q8C2311yescharacteristic
192C24×C4C2311yescharacteristic
193C24×C4C2311yescharacteristic
194C24×C4C2311yescharacteristic
195C24×C4C2311yescharacteristic
196C24×C4C2311yescharacteristic
197C24×C4C2311yescharacteristic
198C2×C22⋊Q8—24no—
199C2×C22⋊Q8—24no—
200C2×C22⋊Q8—42no—
201C2×C22⋊Q8—42no—
202C2×C22⋊Q8C2×C418yescomplemented
203C2×C22⋊Q8C2×C418yescomplemented
204C2×C4×Q8—24no—
205C2×C4×Q8—42no—
206C2×C4×Q8—42no—
207C2×#117—24no—
208C2×#117—24no—
209C2×#117—24no—
210C2×#117—42no—
211C2×#117—42no—
212C2×#117—42no—
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×C22⋊C4—24no—
235C22×C22⋊C4—24no—
236C22×C22⋊C4—24no—
237C22×C22⋊C4—24no—
238C22×C22⋊C4—42no—
239C22×C22⋊C4—42no—
240C22×C22⋊C4—42no—
241C22×C22⋊C4C2×C418yes—
242C22×C22⋊C4C2×C418yes—
243C22×C22⋊C4C2311yescharacteristic
244C22×C22⋊C4C2311yescharacteristic
245C22×C22⋊C4C2311yescharacteristic
246C22×C22⋊C4C2311yescharacteristic
247C22×C22⋊C4C2311yescharacteristic
248C22×C22⋊C4C2311yescharacteristic
249C22×C22⋊C4C2311yescharacteristic
250C22×C22⋊C4C2311yescharacteristic
251C22×C22⋊C4C2311yescharacteristic
252C22×C22⋊C4C2311yescharacteristic
253C22×C22⋊C4C2311yescharacteristic
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C22⋊C4C2311yescharacteristic
272C22×C22⋊C4C2311yescharacteristic
273C22×C22⋊C4C2311yescharacteristic
274C22×C22⋊C4C2311yescharacteristic
275C22×C22⋊C4C2311yescharacteristic
276C22×C22⋊C4C2311yescharacteristic
277C22×C22⋊C4C2311yescharacteristic
278C22×C22⋊C4C2311yescharacteristic
279C22×C42C2311yescharacteristic
280C22×C42C2311yescharacteristic
281C22×C42C2311yescharacteristic
282C22×C42C2311yescharacteristic
283C22×C42C2311yescharacteristic
284C22×C42C2311yescharacteristic
285C22×C42C2311yescharacteristic
286C22×C42C2311yescharacteristic
287C22×C42C2311yescharacteristic
288C22×C42C2311yescharacteristic
289C22×C42C2311yescharacteristic
290C22×C42C2311yescharacteristic
291C22×C42C2311yescharacteristic
292C22×C42C2311yescharacteristic
293C22×C42C2311yescharacteristic
294C22×C42C2311yescharacteristic
295#399C2×C418yes—
296#396C2×C418yes—
297#396C2×C418yes—
298#393C2×C418yes—
299#391—24no—
300#391—42no—
301#389—24no—
302#389—42no—
303#388—24no—
304#388—24no—
305#388—24no—
306#388—24no—
307#388—24no—
308#388—24no—
309#388—24no—
310#388—24no—
311#388—24no—
312#388D418yes—
313#387—24no—
314#387—24no—
315#387—42no—
316#387—42no—
317#387—42no—
318#385—24no—
319#385—24no—
320#385—42no—
321#385C2×C418yescomplemented
322#385C2×C418yescomplemented
323#385C2×C418yescomplemented
324#385C2×C418yescomplemented
325#381—24no—
326#381—42no—
327#380—24no—
328#380—42no—
329#380C2×C418yescomplemented
330#380C2×C418yescomplemented
331#379—24no—
332#379—24no—
333#379—42no—
334#379C2×C418yes—
335C4×C4⋊C4—24no—
336C4×C4⋊C4—24no—
337C4×C4⋊C4—24no—
338C4×C4⋊C4—42no—
339C4×C22⋊C4—24no—
340C4×C22⋊C4—24no—
341C4×C22⋊C4—24no—
342C4×C22⋊C4—24no—
343C4×C22⋊C4—24no—
344C4×C22⋊C4—42no—
345C4×C22⋊C4—42no—
346C4×C22⋊C4—42no—
347C4×C22⋊C4—42no—
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—41no—
429C25—41no—
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—22no—
443C22×Q8—22no—
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—41no—
465C23×C4—41no—
466C23×C4—41no—
467C23×C4—41no—
468C23×C4—41no—
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×C4C22×C414yes—
486C23×C4C22×C414yes—
487C23×C4C22×C414yes—
488C23×C4C22×C414yes—
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
516C23×C4C2411yescharacteristic
517C22⋊Q8—232no—
518C22⋊Q8—416no—
519C4×Q8—416no—
520#117—416no—
521#117—416no—
522C2×C4⋊C4—22no—
523C2×C4⋊C4—22no—
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—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⋊C4C22×C414yes—
576C2×C4⋊C4C22×C414yes—
577C2×C4⋊C4C22×C414yes—
578C2×C4⋊C4C22×C414yes—
579C2×C4⋊C4C22×C414yes—
580C2×C4⋊C4C22×C414yes—
581C2×C4⋊C4C22×C414yes—
582C2×C4⋊C4C22×C414yes—
583C2×C4⋊C4C22×C414yes—
584C2×C4⋊C4C2×D414yes—
585C2×C22⋊C4—22no—
586C2×C22⋊C4—22no—
587C2×C22⋊C4—22no—
588C2×C22⋊C4—22no—
589C2×C22⋊C4—22no—
590C2×C22⋊C4—22no—
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—232no—
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—22no—
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—416no—
636C2×C22⋊C4—416no—
637C2×C22⋊C4—41no—
638C2×C22⋊C4—41no—
639C2×C22⋊C4—41no—
640C2×C22⋊C4—41no—
641C2×C22⋊C4—41no—
642C2×C22⋊C4—41no—
643C2×C22⋊C4—41no—
644C2×C22⋊C4—41no—
645C2×C22⋊C4—41no—
646C2×C22⋊C4—41no—
647C2×C22⋊C4—41no—
648C2×C22⋊C4—41no—
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⋊C4C22×C414yes—
677C2×C22⋊C4C22×C414yes—
678C2×C22⋊C4C22×C414yes—
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⋊C4C2×D414yes—
691C2×C22⋊C4C2×D414yes—
692C2×C22⋊C4C2×D414yes—
693C2×C22⋊C4#4114yes—
694C2×C22⋊C4#4114yes—
695C2×C22⋊C4#4114yes—
696C2×C42—22no—
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—22no—
714C2×C42—22no—
715C2×C42—22no—
716C2×C42—22no—
717C2×C42—22no—
718C2×C42—22no—
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—
739C2×C42—41no—
740C2×C42—41no—
741C2×C42—41no—
742C2×C42—41no—
743C2×C42C2×D414yes—
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—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#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#95—41no—
810#95C22×C414yes—
811#95C22×C414yes—
812#95C22×C414yes—
813#95C22×C414yes—
814#95C22×C414yes—
815#95C22×C414yes—
816#95C2×D414yes—
817#95C2×D414yes—
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—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—28no—
855C24—28no—
856C24—28no—
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—82no—
874C24—82no—
875C24—82no—
876C24—82no—
877C24—82no—
878C24—82no—
879C24—82no—
880C24—82no—
881C24—82no—
882C24—82no—
883C24—82no—
884C24—82no—
885C24—82no—
886C24—82no—
887C24—82no—
888C24—82no—
889C24C23×C412yes—
890C24C23×C412yes—
891C24C23×C412yes—
892C24C22×D412yes—
893C24C2×#4112yes—
894C24C2×#4112yes—
895C24C2×#4112yes—
896C242−1+412yes—
897C242−1+412yes—
898C24C2511yescharacteristic
899C2×Q8—28no—
900C2×Q8—28no—
901C2×Q8—44no—
902C2×Q8—44no—
903C2×Q8—44no—
904C2×Q8—44no—
905C2×Q8—44no—
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—28no—
923C22×C4—28no—
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—28no—
1021C22×C4—28no—
1022C22×C4—28no—
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—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—44no—
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—82no—
1102C22×C4—82no—
1103C22×C4—82no—
1104C22×C4—82no—
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×C4C23×C412yes—
1117C22×C4C23×C412yes—
1118C22×C4C23×C412yes—
1119C22×C4C23×C412yes—
1120C22×C4C23×C412yes—
1121C22×C4C23×C412yes—
1122C22×C4C23×C412yes—
1123C22×C4C23×C412yes—
1124C22×C4C23×C412yes—
1125C22×C4C23×C412yes—
1126C22×C4C23×C412yes—
1127C22×C4C23×C412yes—
1128C22×C4C22×D412yes—
1129C22×C4C22×D412yes—
1130C22×C4C22×D412yes—
1131C22×C4C22×D412yes—
1132C22×C4C22×D412yes—
1133C22×C4C22×D412yes—
1134C22×C4C2×#4112yes—
1135C22×C4C2×#4112yes—
1136C22×C4C2×#4112yes—
1137C22×C4C2×#4112yes—
1138C22×C4C2×#4112yes—
1139C22×C4C2×#4112yes—
1140C22×C4H(5,𝔽2)12yes—
1141C22×C4H(5,𝔽2)12yes—
1142C22×C4H(5,𝔽2)12yes—
1143C22×C4H(5,𝔽2)12yes—
1144C4⋊C4—28no—
1145C4⋊C4—28no—
1146C4⋊C4—28no—
1147C4⋊C4—28no—
1148C4⋊C4—28no—
1149C4⋊C4—28no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—82no—
1161C4⋊C4—82no—
1162C4⋊C4—82no—
1163C4⋊C4—82no—
1164C4⋊C4—82no—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—44no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—82no—
1196C22⋊C4—82no—
1197C22⋊C4—82no—
1198C22⋊C4—82no—
1199C22⋊C4—82no—
1200C22⋊C4C4×D4116yes—
1201C42—44no—
1202C42—44no—
1203C42—44no—
1204C42—44no—
1205C42—44no—
1206C42—44no—
1207C42—44no—
1208C42—44no—
1209C42—44no—
1210C42—44no—
1211C42—44no—
1212C42—82no—
1213C42—82no—
1214C42—82no—
1215C42—82no—
1216C42—82no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
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—416no—
1272C23—416no—
1273C23—416no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
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—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—88no—
1323C23—88no—
1324C23—88no—
1325C23—88no—
1326C23—88no—
1327C23—88no—
1328C23—88no—
1329C23—88no—
1330C23—88no—
1331C23—88no—
1332C23—88no—
1333C23—88no—
1334C23C2×C4×D414yes—
1335C23C4×#4114yes—
1336C23#51914yes—
1337C23C24×C411yescharacteristic
1338C23C23×D411yescharacteristic
1339C23C22×#4111yescharacteristic
1340C23C22×#4111yescharacteristic
1341C23C22×#4111yescharacteristic
1342C23C2×H(5,𝔽2)11yescharacteristic
1343C23C2×H(5,𝔽2)11yescharacteristic
1344C23C2×H(5,𝔽2)11yescharacteristic
1345C23C2×H(5,𝔽2)11yescharacteristic
1346C23C2×2−1+411yescharacteristic
1347C23C2×2−1+411yescharacteristic
1348C23#58511yescharacteristic
1349C23#58511yescharacteristic
1350C23#58511yescharacteristic
1351C23#58511yescharacteristic
1352Q8—416no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
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—416no—
1426C2×C4—416no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—88no—
1548C2×C4—88no—
1549C2×C4—88no—
1550C2×C4—88no—
1551C2×C4C2×C4×D414yes—
1552C2×C4C2×C4×D414yes—
1553C2×C4#51814yes—
1554C2×C4#54614yes—
1555C22—24no—
1556C22—24no—
1557C22—24no—
1558C22—24no—
1559C22—24no—
1560C22—24no—
1561C22—24no—
1562C22—24no—
1563C22—24no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
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—
1601C22C22×C4×D411yescharacteristic
1602C22C2×C4×#4111yescharacteristic
1603C22C2×#51811yescharacteristic
1604C22C2×#51911yescharacteristic
1605C22#342811yescharacteristic
1606C22C4×H(5,𝔽2)11yescharacteristic
1607C22C4×H(5,𝔽2)11yescharacteristic
1608C22C2×#54611yescharacteristic
1609C22D4×#4111yescharacteristic
1610C22#347511yescharacteristic
1611C22#348111yescharacteristic
1612C22#348411yescharacteristic
1613C22#348811yescharacteristic
1614C22#348911yescharacteristic
1615C22#348911yescharacteristic
1616C22#349111yescharacteristic
1617C22#349411yescharacteristic
1618C22#349511yescharacteristic
1619C22#349511yescharacteristic
1620C22#351311yescharacteristic
1621C22#351411yescharacteristic
1622C22#351911yescharacteristic
1623C22#352011yescharacteristic
1624C22#352011yescharacteristic
1625C22#352011yescharacteristic
1626C22#352011yescharacteristic
1627C22#352111yescharacteristic
1628C22#353511yescharacteristic
1629C22#353611yescharacteristic
1630C22#354611yescharacteristic
1631C22#355111yescharacteristic
1632C22#355811yescharacteristic
1633C22#356111yescharacteristic
1634C22#356211yescharacteristic
1635C22#356411yescharacteristic
1636C4—24no—
1637C4—24no—
1638C4—24no—
1639C4—24no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—81no—
1657C4—81no—
1658C4—81no—
1659C4—81no—
1660C4—81no—
1661C4—81no—
1662C4—81no—
1663C4—81no—
1664C2—44no—
1665C2—44no—
1666C2—44no—
1667C2C4×#54611yescharacteristic
1668C2#3420311yescharacteristic
1669C2#3424511yescharacteristic
1670C2#3429011yescharacteristic
1671C2#3430311yescharacteristic
1672C2#3443311yescharacteristic
1673C2#3449511yescharacteristic
1674C2#4310111yescharacteristic
1675C2#4310611yescharacteristic
1676C2#4335211yescharacteristic
1677C2#4346411yescharacteristic
1678C2#4443611yescharacteristic
1679C2#4444311yescharacteristic
1680C2#4458111yescharacteristic
1681C2#4508411yescharacteristic
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
2. C2×#2362C2semidirect
4. #14584C2semidirect
5. #14514C2semidirect
6. #14422C2semidirect
7. #14409C2semidirect
8. #14372C2semidirect
10. #14364C2semidirect
11. #14362C2semidirect
12. #14222C2semidirect
13. #14218C2semidirect
14. #14213C2semidirect
15. #14204C2semidirect
16. #14198C2semidirect
17. #14178C2semidirect
18. #14108C2semidirect
19. #14072C2semidirect
20. #14072C2semidirect
21. #14008C2semidirect
22. #13983C2semidirect
24. #13969C2semidirect
27. C4×#393C2semidirect
28. #13801C2semidirect
30. #13789C2semidirect
31. #13789C2semidirect
34. C22×C4×Q8C22semidirect
40. #2437C4semidirect
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
83. C2×C4×C4⋊C4C22semidirect
84. C2×C4×C4⋊C4C22semidirect
85. C2×C4×C4⋊C4C22semidirect
86. C2×C4×C4⋊C4C22semidirect
96. #1446C22semidirect
97. #1445C22semidirect
98. #1445C22semidirect
99. #1443C22semidirect
100. #1442C22semidirect
101. #1442C22semidirect
102. #1442C22semidirect
103. #1442C22semidirect
104. #1442C22semidirect
105. #1441C22semidirect
106. #1441C22semidirect
107. #1441C22semidirect
108. #1441C22semidirect
109. #1441C22semidirect
110. #1441C22semidirect
111. #1441C22semidirect
112. #1441C22semidirect
113. #1441C22semidirect
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. #1436C22semidirect
165. #1436C22semidirect
166. C4⋊#95C22semidirect
167. C4⋊#95C22semidirect
168. C4⋊#95C22semidirect
169. C4⋊#95C22semidirect
170. C4⋊#95C22semidirect
171. #1434C22semidirect
172. #1434C22semidirect
173. #1434C22semidirect
174. #1434C22semidirect
175. #1434C22semidirect
186. C4×#95C22semidirect
187. C4×#95C22semidirect
188. C4×#95C22semidirect
189. C4×#95C22semidirect
202. C2×C22⋊Q8C2×C4semidirect
203. C2×C22⋊Q8C2×C4semidirect
321. #385C2×C4semidirect
322. #385C2×C4semidirect
323. #385C2×C4semidirect
324. #385C2×C4semidirect
329. #380C2×C4semidirect
330. #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×#23622
C2×#23422
#145842
#145142
#144222
#144092
#143722
#143652
#143642
#143622
#142222
#142182
#142132
#142042
#141982
#141782
#141082
#140722
#140082
#139832
#139712
#139692
#138732
#138682
C4×#3932
#138012
C22⋊C422
#137892