Finite Group Databasebeta

← #12267352

Subgroups — #12267352

Order 1280.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1484 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65956C211yesmaximal, characteristic, complemented
2C22×#4033C211yesmaximal, characteristic, complemented
3C5×#2449C211yesmaximal, characteristic
4#10614499C211yesmaximal, characteristic, complemented
5#10614494C211yesmaximal, characteristic, complemented
6Dic5×C22⋊Q8C211yesmaximal, characteristic, complemented
7#10614091C211yesmaximal, characteristic
8C4×D4×Dic5C211yesmaximal, characteristic
9#10613905C211yesmaximal, characteristic, complemented
10#10609751C211yesmaximal, characteristic, complemented
11#10609749C211yesmaximal, characteristic, complemented
12#10609478C211yesmaximal, characteristic, complemented
13#10609471C211yesmaximal, characteristic, complemented
14#10609018C211yesmaximal, characteristic, complemented
15#10609013C211yesmaximal, characteristic, complemented
16#10608906C211yesmaximal, characteristic, complemented
17#10608902C211yesmaximal, characteristic, complemented
18#10607748C211yesmaximal, characteristic, complemented
19#10607698C211yesmaximal, characteristic, complemented
20#10606726C211yesmaximal, characteristic, complemented
21#10606669C211yesmaximal, characteristic, complemented
22#10606424C211yesmaximal, characteristic
23#10606420C211yesmaximal, characteristic
24#10606388C211yesmaximal, characteristic
25#10606388C211yesmaximal, characteristic
26#10606171C211yesmaximal, characteristic, complemented
27#10606164C211yesmaximal, characteristic, complemented
28#10606143C211yesmaximal, characteristic, complemented
29#10606112C211yesmaximal, characteristic, complemented
30#10606112C211yesmaximal, characteristic, complemented
31#10606112C211yesmaximal, characteristic, complemented
32C23×Dic10C2211yescharacteristic
33C2×C5×C22⋊Q8C2211yescharacteristic
34C2×C5×C22⋊Q8C2211yescharacteristic
35C2×C4×C5×D4C2211yescharacteristic
36C22×C5×C4⋊C4C2211yescharacteristic
37C2×Q8×Dic5C2211yescharacteristic
38C2×#4090C2211yescharacteristic
39C2×D4×Dic5C2211yescharacteristic
40C2×D4×Dic5C2211yescharacteristic
41C2×#4070C2211yescharacteristic
42C22×#683C2211yescharacteristic
43C22×#683C2211yescharacteristic
44C22×C4×Dic5C2211yescharacteristic
45C22×C4×Dic5C2211yescharacteristic
46C22×C4×Dic5C2211yescharacteristic
47C22×C4×Dic5C2211yescharacteristic
48#65956—28no—
49C2×#4035C2211yescharacteristic
50C2×#4035C2211yescharacteristic
51C2×#4034C2211yescharacteristic
52C2×#4034C2211yescharacteristic
53C2×#4033—28no—
54C2×#4033C2211yescharacteristic
55C2×#4033C2211yescharacteristic
56C2×#4033C2211yescharacteristic
57C2×#4033C2211yescharacteristic
58C2×#4033C2211yescharacteristic
59C2×#4033C2211yescharacteristic
60C2×#4033C2211yescharacteristic
61C2×#4033C2211yescharacteristic
62C2×#4033C2211yescharacteristic
63C2×#4033C2211yescharacteristic
64C2×#4024C2211yescharacteristic
65C2×#4024C2211yescharacteristic
66C2×#4024C2211yescharacteristic
67C2×#4024C2211yescharacteristic
68C2×#4024C2211yescharacteristic
69C2×#4023C2211yescharacteristic
70C2×#4023C2211yescharacteristic
71C5×#399C2211yescharacteristic
72C5×#398C2211yescharacteristic
73C5×#396C2211yescharacteristic
74C5×#395C2211yescharacteristic
75C5×#389C2211yescharacteristic
76C5×#387C2211yescharacteristic
77C5×#386C2211yescharacteristic
78C5×#386C2211yescharacteristic
79C5×#385C2211yescharacteristic
80C5×#385C2211yescharacteristic
81C5×#385C2211yescharacteristic
82#65519C2211yescharacteristic
83#65518C2211yescharacteristic
84#65509C2211yescharacteristic
85#65509C2211yescharacteristic
86#65501C2211yescharacteristic
87#65499C2211yescharacteristic
88#65499C2211yescharacteristic
89#65499C2211yescharacteristic
90#65499C2211yescharacteristic
91#65499C2211yescharacteristic
92C4×C22⋊Dic5C2211yescharacteristic
93C4×C22⋊Dic5C2211yescharacteristic
94#65274C2211yescharacteristic
95#65273C2211yescharacteristic
96#65273C2211yescharacteristic
97#65273C2211yescharacteristic
98#65272C2211yescharacteristic
99#65272C2211yescharacteristic
100#65271C2211yescharacteristic
101#65270C2211yescharacteristic
102#65270C2211yescharacteristic
103#65270C2211yescharacteristic
104#65269C2211yescharacteristic
105#65269C2211yescharacteristic
106#65269C2211yescharacteristic
107#65268C2211yescharacteristic
108#65268C2211yescharacteristic
109#65268C2211yescharacteristic
110#65268C2211yescharacteristic
111#65267C2211yescharacteristic
112#65267C2211yescharacteristic
113#65267C2211yescharacteristic
114#65265C2211yescharacteristic
115C4⋊C4×Dic5C2211yescharacteristic
116C4⋊C4×Dic5C2211yescharacteristic
117C4⋊C4×Dic5C2211yescharacteristic
118C4⋊C4×Dic5C2211yescharacteristic
119C4⋊C4×Dic5C2211yescharacteristic
120C4⋊C4×Dic5C2211yescharacteristic
121C4⋊C4×Dic5C2211yescharacteristic
122#65261C2211yescharacteristic
123#65261C2211yescharacteristic
124#65261C2211yescharacteristic
125#65261C2211yescharacteristic
126#65261C2211yescharacteristic
127#65261C2211yescharacteristic
128#65239C2211yescharacteristic
129#65239C2211yescharacteristic
130#65238C2211yescharacteristic
131#65237C2211yescharacteristic
132#65237C2211yescharacteristic
133#65237C2211yescharacteristic
134#65236C2211yescharacteristic
135#65236C2211yescharacteristic
136#65235C2211yescharacteristic
137#65235C2211yescharacteristic
138#65234C2211yescharacteristic
139#65234C2211yescharacteristic
140#65233C2211yescharacteristic
141#65233C2211yescharacteristic
142#65231C2211yescharacteristic
143#65231C2211yescharacteristic
144#65231C2211yescharacteristic
145C22⋊C4×Dic5C2211yescharacteristic
146C22⋊C4×Dic5C2211yescharacteristic
147C22⋊C4×Dic5C2211yescharacteristic
148C22⋊C4×Dic5C2211yescharacteristic
149C22⋊C4×Dic5C2211yescharacteristic
150C22⋊C4×Dic5C2211yescharacteristic
151C22⋊C4×Dic5C2211yescharacteristic
152C22⋊C4×Dic5C2211yescharacteristic
153C4×C4⋊Dic5C2211yescharacteristic
154#65222C2211yescharacteristic
155C42×Dic5C2211yescharacteristic
156#65217C2211yescharacteristic
157#64950C2211yescharacteristic
158#64947C2211yescharacteristic
159#64946C2211yescharacteristic
160#64946C2211yescharacteristic
161#64945C2211yescharacteristic
162#64945C2211yescharacteristic
163#64945C2211yescharacteristic
164#64945C2211yescharacteristic
165#64943C2211yescharacteristic
166#64943C2211yescharacteristic
167#64942C2211yescharacteristic
168#64942C2211yescharacteristic
169#64942C2211yescharacteristic
170#64942C2211yescharacteristic
171#64942C2211yescharacteristic
172#64941C2211yescharacteristic
173#64938C2211yescharacteristic
174#64938C2211yescharacteristic
175#64938C2211yescharacteristic
176#64938C2211yescharacteristic
177#64938C2211yescharacteristic
178#64938C2211yescharacteristic
179#64937C2211yescharacteristic
180#64937C2211yescharacteristic
181#64936C2211yescharacteristic
182#64935C2211yescharacteristic
183#64935C2211yescharacteristic
184#64935C2211yescharacteristic
185#64935C2211yescharacteristic
186#64935C2211yescharacteristic
187#64935C2211yescharacteristic
188#64935C2211yescharacteristic
189#34691—51nomaximal, Sylow
190C22×C5×Q8C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C23×Dic5C2311yescharacteristic
198C23×Dic5C2311yescharacteristic
199C23×Dic5C2311yescharacteristic
200C23×Dic5C2311yescharacteristic
201C23×Dic5C2311yescharacteristic
202C22×Dic10—24no—
203C22×Dic10—24no—
204C22×Dic10—24no—
205C22×Dic10C2311yescharacteristic
206C22×Dic10C2311yescharacteristic
207C22×Dic10C2311yescharacteristic
208C22×Dic10C2311yescharacteristic
209C22×Dic10C2311yescharacteristic
210C22×Dic10C2311yescharacteristic
211C5×C22⋊Q8—24no—
212C5×C22⋊Q8—24no—
213C4×C5×D4—24no—
214C2×C5×C4⋊C4—24no—
215C2×C5×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C4⋊C4C2311yescharacteristic
224C2×C5×C4⋊C4C2311yescharacteristic
225C2×C5×C4⋊C4C2311yescharacteristic
226C2×C5×C4⋊C4C2311yescharacteristic
227C2×C5×C22⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C5×C22⋊C4C2311yescharacteristic
230C2×C5×C22⋊C4C2311yescharacteristic
231C2×C5×C22⋊C4C2311yescharacteristic
232C2×C5×C22⋊C4C2311yescharacteristic
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C42×C5C2311yescharacteristic
236C2×C22⋊Dic5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246Q8×Dic5—24no—
247#4090—24no—
248D4×Dic5—24no—
249D4×Dic5Q818yescomplemented
250C2×C4⋊Dic5C2311yescharacteristic
251C2×C4⋊Dic5C2311yescharacteristic
252C2×C4⋊Dic5C2311yescharacteristic
253C2×C4⋊Dic5C2311yescharacteristic
254C2×C4⋊Dic5C2311yescharacteristic
255C2×C4⋊Dic5C2311yescharacteristic
256C2×C4⋊Dic5C2311yescharacteristic
257C2×C4⋊Dic5C2311yescharacteristic
258C2×C4⋊Dic5C2311yescharacteristic
259C2×C4⋊Dic5C2311yescharacteristic
260#4070—24no—
261C2×#683—24no—
262C2×#683—24no—
263C2×#683C2311yescharacteristic
264C2×#683C2311yescharacteristic
265C2×#683C2311yescharacteristic
266C2×#683C2311yescharacteristic
267C2×#683C2311yescharacteristic
268C2×#683C2311yescharacteristic
269C2×#683C2311yescharacteristic
270C2×#683C2311yescharacteristic
271C2×#683C2311yescharacteristic
272C2×#683C2311yescharacteristic
273C2×#683C2311yescharacteristic
274C2×#683C2311yescharacteristic
275C2×#683C2311yescharacteristic
276C2×#683C2311yescharacteristic
277C2×#683C2311yescharacteristic
278C2×#683C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
289C2×#683C2311yescharacteristic
290C2×#683C2311yescharacteristic
291C2×C4×Dic5—24no—
292C2×C4×Dic5—24no—
293C2×C4×Dic5—24no—
294C2×C4×Dic5—24no—
295C2×C4×Dic5C2311yescharacteristic
296C2×C4×Dic5C2311yescharacteristic
297C2×C4×Dic5C2311yescharacteristic
298C2×C4×Dic5C2311yescharacteristic
299C2×C4×Dic5C2311yescharacteristic
300C2×C4×Dic5C2311yescharacteristic
301C2×C4×Dic5C2311yescharacteristic
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2311yescharacteristic
305C2×C4×Dic5C2311yescharacteristic
306C2×C4×Dic5C2311yescharacteristic
307C2×C4×Dic5C2311yescharacteristic
308C2×C4×Dic5C2311yescharacteristic
309C2×C4×Dic5C2311yescharacteristic
310C2×C4×Dic5C2311yescharacteristic
311C2×C4×Dic5C2311yescharacteristic
312C2×C4×Dic5C2311yescharacteristic
313C2×C4×Dic5C2311yescharacteristic
314C2×C4×Dic5C2311yescharacteristic
315C2×C4×Dic5C2311yescharacteristic
316C2×C4×Dic5C2311yescharacteristic
317C2×C4×Dic5C2311yescharacteristic
318C2×C4×Dic5C2311yescharacteristic
319#4035—24no—
320#4035—24no—
321#4034—24no—
322#4034—24no—
323#4033—24no—
324#4033—24no—
325#4033—24no—
326#4033—24no—
327#4033—24no—
328#4033—24no—
329#4033—24no—
330#4033—24no—
331#4033—24no—
332#4033D418yescomplemented
333#4024—24no—
334#4024—24no—
335#4024—24no—
336#4024—24no—
337#4024—24no—
338#4023—24no—
339#4023—24no—
340C5×#95C2311yescharacteristic
341C5×#95C2311yescharacteristic
342C5×#95C2311yescharacteristic
343C5×#95C2311yescharacteristic
344C5×#95C2311yescharacteristic
345C5×#95C2311yescharacteristic
346C5×#95C2311yescharacteristic
347C5×#95C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384C2×#533—51no—
385C22×C4×Q8—51no—
386#2473—51no—
387#2473—51no—
388#2465—51no—
389#2465—51no—
390#2462—51no—
391#2462—51no—
392#2451—51no—
393#2449—51no—
394#2449D511yescharacteristic
395#2446—51no—
396#2440—51no—
397#2434—51no—
398#2429—51no—
399#2423—51no—
400#2417—51no—
401#2409—51no—
402#2399—51no—
403#2399—51no—
404#2396—51no—
405#2396—51no—
406C4×C4⋊Q8—51no—
407C4×C22⋊Q8—51no—
408C4×C22⋊Q8—51no—
409C4×C22⋊Q8—51no—
410C4×C22⋊Q8—51no—
411#2295—51no—
412#2290—51no—
413#2290—51no—
414C42×D4—51no—
415C24×C5C2411yescharacteristic
416C24×C5C2411yescharacteristic
417C2×C5×Q8—22no—
418C2×C5×Q8—22no—
419C2×C5×Q8—41no—
420C2×C5×D4—22no—
421C2×C5×D4—22no—
422C2×C5×D4C2×Q814yes—
423C22×C4×C5—22no—
424C22×C4×C5—22no—
425C22×C4×C5—22no—
426C22×C4×C5—22no—
427C22×C4×C5—22no—
428C22×C4×C5—22no—
429C22×C4×C5—22no—
430C22×C4×C5—22no—
431C22×C4×C5—22no—
432C22×C4×C5—41no—
433C22×C4×C5—41no—
434C22×C4×C5—41no—
435C22×C4×C5C2411yescharacteristic
436C22×C4×C5C2411yescharacteristic
437C22×C4×C5C2411yescharacteristic
438C22×C4×C5C2411yescharacteristic
439C22×C4×C5C2411yescharacteristic
440C22×C4×C5C2411yescharacteristic
441C22×C4×C5C2411yescharacteristic
442C22×C4×C5C2411yescharacteristic
443C22×C4×C5C2411yescharacteristic
444C22×C4×C5C2411yescharacteristic
445C22×C4×C5C2411yescharacteristic
446C22×C4×C5C2411yescharacteristic
447C22×C4×C5C2411yescharacteristic
448C22×Dic5—22no—
449C22×Dic5—22no—
450C22×Dic5—22no—
451C22×Dic5—22no—
452C22×Dic5—22no—
453C22×Dic5—22no—
454C22×Dic5—22no—
455C22×Dic5—22no—
456C22×Dic5—22no—
457C22×Dic5—22no—
458C22×Dic5—22no—
459C22×Dic5—22no—
460C22×Dic5—22no—
461C22×Dic5—22no—
462C22×Dic5—41no—
463C22×Dic5C2×Q814yes—
464C22×Dic5C2×Q814yescomplemented
465C22×Dic5#4114yes—
466C22×Dic5C2411yescharacteristic
467C22×Dic5C2411yescharacteristic
468C22×Dic5C2411yescharacteristic
469C22×Dic5C2411yescharacteristic
470C22×Dic5C2411yescharacteristic
471C22×Dic5C2411yescharacteristic
472C22×Dic5C2411yescharacteristic
473C22×Dic5C2411yescharacteristic
474C22×Dic5C2411yescharacteristic
475C22×Dic5C2411yescharacteristic
476C22×Dic5C2411yescharacteristic
477C22×Dic5C2411yescharacteristic
478C22×Dic5C2411yescharacteristic
479C22×Dic5C2411yescharacteristic
480C22×Dic5C2411yescharacteristic
481C22×Dic5C2411yescharacteristic
482C2×Dic10—232no—
483C2×Dic10—22no—
484C2×Dic10—22no—
485C2×Dic10—22no—
486C2×Dic10—22no—
487C2×Dic10—22no—
488C2×Dic10—22no—
489C2×Dic10—22no—
490C2×Dic10—22no—
491C2×Dic10—22no—
492C2×Dic10—22no—
493C2×Dic10—22no—
494C2×Dic10—22no—
495C2×Dic10—22no—
496C2×Dic10—22no—
497C2×Dic10—22no—
498C2×Dic10—41no—
499C2×Dic10C2×D414yes—
500C2×Dic10#4114yes—
501C5×C4⋊C4—22no—
502C5×C4⋊C4—22no—
503C5×C4⋊C4—22no—
504C5×C4⋊C4—22no—
505C5×C4⋊C4—22no—
506C5×C4⋊C4—22no—
507C5×C4⋊C4—22no—
508C5×C4⋊C4—22no—
509C5×C4⋊C4—22no—
510C5×C4⋊C4—22no—
511C5×C4⋊C4—41no—
512C5×C4⋊C4C2×D414yes—
513C5×C22⋊C4—22no—
514C5×C22⋊C4—22no—
515C5×C22⋊C4—22no—
516C5×C22⋊C4—22no—
517C5×C22⋊C4—22no—
518C5×C22⋊C4—22no—
519C5×C22⋊C4—41no—
520C5×C22⋊C4#4114yes—
521C42×C5—22no—
522C22⋊Dic5—22no—
523C22⋊Dic5—22no—
524C22⋊Dic5—22no—
525C22⋊Dic5—22no—
526C22⋊Dic5—22no—
527C22⋊Dic5—22no—
528C22⋊Dic5—22no—
529C22⋊Dic5—41no—
530C22⋊Dic5C2×Q814yes—
531C22⋊Dic5C2×Q814yescomplemented
532C4⋊Dic5—22no—
533C4⋊Dic5—22no—
534C4⋊Dic5—22no—
535C4⋊Dic5—22no—
536C4⋊Dic5—22no—
537C4⋊Dic5—22no—
538C4⋊Dic5—22no—
539C4⋊Dic5—22no—
540C4⋊Dic5—41no—
541C4⋊Dic5C2×Q814yescomplemented
542#683—22no—
543#683—22no—
544#683—22no—
545#683—22no—
546#683—22no—
547#683—22no—
548#683—22no—
549#683—22no—
550#683—22no—
551#683—22no—
552#683—22no—
553#683—22no—
554#683—22no—
555#683—22no—
556#683—22no—
557#683—22no—
558#683—22no—
559#683—22no—
560#683—22no—
561#683—22no—
562#683—22no—
563#683—22no—
564#683—41no—
565#683—41no—
566#683—41no—
567#683—41no—
568#683C2×D414yes—
569#683C2×D414yes—
570C4×Dic5—22no—
571C4×Dic5—22no—
572C4×Dic5—22no—
573C4×Dic5—22no—
574C4×Dic5—22no—
575C4×Dic5—22no—
576C4×Dic5—22no—
577C4×Dic5—22no—
578C4×Dic5—22no—
579C4×Dic5—22no—
580C4×Dic5—22no—
581C4×Dic5—22no—
582C4×Dic5—22no—
583C4×Dic5—22no—
584C4×Dic5—22no—
585C4×Dic5—22no—
586C4×Dic5—22no—
587C4×Dic5—22no—
588C4×Dic5—22no—
589C4×Dic5—41no—
590C4×Dic5C2×D414yes—
591C4×Dic5C2×D414yes—
592C4×Dic5C2×D414yes—
593C4×Dic5C2×Q814yescomplemented
594C23×Q8—51no—
595#533—108no—
596C2×C4⋊Q8—51no—
597C2×C4⋊Q8—51no—
598C2×C4⋊Q8—51no—
599C2×#125—51no—
600C2×#125—51no—
601C2×C22⋊Q8—51no—
602C2×C22⋊Q8—51no—
603C2×C22⋊Q8—51no—
604C2×C22⋊Q8—51no—
605C2×C22⋊Q8—51no—
606C2×C22⋊Q8—51no—
607C2×C22⋊Q8C2×D511yescharacteristic
608C2×C22⋊Q8C2×D511yescharacteristic
609C2×C4×Q8—51no—
610C2×C4×Q8—51no—
611C2×C4×Q8—51no—
612C2×C4×Q8—51no—
613C2×C4×Q8—51no—
614C2×C4×Q8—51no—
615C2×C4×Q8—51no—
616C2×C4×Q8—51no—
617C2×C4×Q8—51no—
618C2×C4×Q8—51no—
619C2×C4×Q8—51no—
620C2×C4×Q8—108no—
621C2×C4×D4—51no—
622C2×C4×D4—51no—
623C2×C4×D4C2×D511yescharacteristic
624C2×#117—51no—
625C2×#117—51no—
626C22×C4⋊C4—51no—
627C22×C4⋊C4—51no—
628C22×C4⋊C4C2×D511yescharacteristic
629C22×C42—51no—
630C22×C42—51no—
631C22×C42—51no—
632C22×C42—51no—
633#400—51no—
634#400—51no—
635#399—51no—
636#399C2×D511yescharacteristic
637#398—51no—
638#398—51no—
639#398—51no—
640#398—51no—
641#398—51no—
642#398—51no—
643#398—51no—
644#398—51no—
645#398—51no—
646#398—51no—
647#398—51no—
648#398C2×D511yescharacteristic
649#396—51no—
650#396—51no—
651#396—51no—
652#396C2×D511yescharacteristic
653#395—51no—
654#395—51no—
655#395—51no—
656#395—51no—
657#395—51no—
658#395—51no—
659#395—51no—
660#395—51no—
661#395—51no—
662#395C2×D511yescharacteristic
663#393—51no—
664#393—51no—
665#391—51no—
666#391—51no—
667#391—51no—
668#391—51no—
669#391—51no—
670#391—51no—
671#391—51no—
672#391—51no—
673#389—51no—
674#389—51no—
675#389—51no—
676#389—51no—
677#389—51no—
678#389—51no—
679#389—51no—
680#389—51no—
681#389—51no—
682#389C2×D511yescharacteristic
683#388—51no—
684#388—51no—
685#388—51no—
686#388—51no—
687#387—51no—
688#387—51no—
689#387—51no—
690#387—51no—
691#387—51no—
692#387—51no—
693#387—51no—
694#387—51no—
695#387—51no—
696#387—51no—
697#387—51no—
698#387—51no—
699#387—51no—
700#387—51no—
701#387—51no—
702#387C2×D511yescharacteristic
703#386—51no—
704#386—51no—
705#386C2×D511yescharacteristic
706#386C2×D511yescharacteristic
707#385—51no—
708#385—51no—
709#385—51no—
710#385—51no—
711#385—51no—
712#385—51no—
713#385—51no—
714#385—51no—
715#385—51no—
716#385C2×D511yescharacteristic
717#385C2×D511yescharacteristic
718#385C2×D511yescharacteristic
719#384—51no—
720#380—51no—
721#380—51no—
722#380—51no—
723#380—51no—
724C4×C4⋊C4—51no—
725C4×C4⋊C4—51no—
726C4×C4⋊C4—51no—
727C4×C4⋊C4—51no—
728C4×C4⋊C4—51no—
729C4×C4⋊C4—51no—
730C4×C4⋊C4—51no—
731C4×C4⋊C4—51no—
732C4×C4⋊C4—51no—
733C4×C4⋊C4—51no—
734C4×C4⋊C4—51no—
735C4×C4⋊C4—51no—
736C4×C4⋊C4—51no—
737C4×C4⋊C4—51no—
738C4×C22⋊C4—51no—
739C4×C22⋊C4—51no—
740C4×C22⋊C4—51no—
741C4×C22⋊C4—51no—
742C4×C22⋊C4—51no—
743C4×C22⋊C4—51no—
744C4×C22⋊C4—51no—
745C4×C22⋊C4—51no—
746C4×C22⋊C4—51no—
747C4×C22⋊C4—51no—
748#376—51no—
749#376—51no—
750C43—51no—
751C23×C5—21no—
752C23×C5—21no—
753C23×C5—21no—
754C23×C5—21no—
755C23×C5—21no—
756C23×C5—21no—
757C23×C5—21no—
758C23×C5—21no—
759C23×C5—21no—
760C23×C5—21no—
761C23×C5C22×Q812yes—
762C23×C5C22×Q812yes—
763C23×C5C2×#4112yes—
764C23×C5C2×#4112yes—
765C23×C5C2511yescharacteristic
766C5×Q8—44no—
767C5×D4—28no—
768C2×C4×C5—28no—
769C2×C4×C5—21no—
770C2×C4×C5—21no—
771C2×C4×C5—21no—
772C2×C4×C5—21no—
773C2×C4×C5—21no—
774C2×C4×C5—21no—
775C2×C4×C5—21no—
776C2×C4×C5—21no—
777C2×C4×C5—21no—
778C2×C4×C5—21no—
779C2×C4×C5—21no—
780C2×C4×C5—21no—
781C2×C4×C5—21no—
782C2×C4×C5—21no—
783C2×C4×C5—21no—
784C2×C4×C5—21no—
785C2×C4×C5—21no—
786C2×C4×C5—21no—
787C2×C4×C5—21no—
788C2×C4×C5—21no—
789C2×C4×C5—21no—
790C2×C4×C5—21no—
791C2×C4×C5—21no—
792C2×C4×C5—21no—
793C2×C4×C5—21no—
794C2×C4×C5—21no—
795C2×C4×C5—21no—
796C2×C4×C5—21no—
797C2×C4×C5—21no—
798C2×C4×C5—21no—
799C2×C4×C5—21no—
800C2×C4×C5—21no—
801C2×C4×C5—44no—
802C2×C4×C5—44no—
803C2×C4×C5—44no—
804C2×C4×C5C22×D412yes—
805C2×C4×C5C22×D412yes—
806C2×C4×C5C22×D412yes—
807C2×C4×C5C22×Q812yes—
808C2×C4×C5C2×#4112yes—
809C2×C4×C5C2×#4112yes—
810C2×C4×C5C2×#4112yes—
811C2×Dic5—28no—
812C2×Dic5—21no—
813C2×Dic5—21no—
814C2×Dic5—21no—
815C2×Dic5—21no—
816C2×Dic5—21no—
817C2×Dic5—21no—
818C2×Dic5—21no—
819C2×Dic5—21no—
820C2×Dic5—21no—
821C2×Dic5—21no—
822C2×Dic5—21no—
823C2×Dic5—21no—
824C2×Dic5—21no—
825C2×Dic5—21no—
826C2×Dic5—28no—
827C2×Dic5—28no—
828C2×Dic5—28no—
829C2×Dic5—21no—
830C2×Dic5—21no—
831C2×Dic5—21no—
832C2×Dic5—21no—
833C2×Dic5—21no—
834C2×Dic5—21no—
835C2×Dic5—21no—
836C2×Dic5—21no—
837C2×Dic5—21no—
838C2×Dic5—21no—
839C2×Dic5—21no—
840C2×Dic5—21no—
841C2×Dic5—21no—
842C2×Dic5—21no—
843C2×Dic5—21no—
844C2×Dic5—21no—
845C2×Dic5—21no—
846C2×Dic5—21no—
847C2×Dic5—21no—
848C2×Dic5—21no—
849C2×Dic5—21no—
850C2×Dic5—44no—
851C2×Dic5—44no—
852C2×Dic5C22×D412yes—
853C2×Dic5C22×D412yes—
854C2×Dic5C22×D412yes—
855C2×Dic5C22×D412yes—
856C2×Dic5C22×Q812yes—
857C2×Dic5C22×Q812yes—
858C2×Dic5C22×Q812yes—
859C2×Dic5C22×Q812yes—
860C2×Dic5C2×#4112yes—
861C2×Dic5C2×#4112yes—
862C2×Dic5C2×#4112yes—
863C2×Dic5C2×#4112yes—
864C2×Dic52−1+412yes—
865Dic10—28no—
866Dic10—28no—
867Dic10—28no—
868Dic10—28no—
869Dic10—44no—
870Dic10—44no—
871C22×Q8—51no—
872C22×Q8—51no—
873C22×Q8—51no—
874C22×Q8—51no—
875C22×Q8—51no—
876C22×Q8—51no—
877C22×Q8—104no—
878C22×Q8—104no—
879C22×Q8—104no—
880C22×Q8C22×D511yescharacteristic
881C22×D4C22×D511yescharacteristic
882C23×C4—51no—
883C23×C4—51no—
884C23×C4—51no—
885C23×C4—51no—
886C23×C4—51no—
887C23×C4—51no—
888C23×C4C22×D511yescharacteristic
889C23×C4C22×D511yescharacteristic
890C23×C4C22×D511yescharacteristic
891C23×C4C22×D511yescharacteristic
892C4⋊Q8—104no—
893C4⋊Q8—104no—
894C4⋊Q8—104no—
895#125—104no—
896#125—104no—
897C22⋊Q8—24no—
898C22⋊Q8—24no—
899C22⋊Q8—104no—
900C22⋊Q8—104no—
901C22⋊Q8—104no—
902C22⋊Q8—104no—
903C22⋊Q8—104no—
904C22⋊Q8—104no—
905C4×Q8—58no—
906C4×Q8—104no—
907C4×Q8—104no—
908C4×Q8—104no—
909C4×Q8—104no—
910C4×Q8—104no—
911C4×Q8—104no—
912C4×Q8—104no—
913C4×Q8—104no—
914C4×Q8—104no—
915C4×Q8—104no—
916C4×D4—24no—
917C4×D4—58no—
918C4×D4—104no—
919#117—104no—
920#117—104no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—51no—
923C2×C4⋊C4—51no—
924C2×C4⋊C4—51no—
925C2×C4⋊C4—51no—
926C2×C4⋊C4—51no—
927C2×C4⋊C4—51no—
928C2×C4⋊C4—51no—
929C2×C4⋊C4—51no—
930C2×C4⋊C4—51no—
931C2×C4⋊C4—51no—
932C2×C4⋊C4—51no—
933C2×C4⋊C4—51no—
934C2×C4⋊C4—51no—
935C2×C4⋊C4—51no—
936C2×C4⋊C4—51no—
937C2×C4⋊C4—51no—
938C2×C4⋊C4—51no—
939C2×C4⋊C4—51no—
940C2×C4⋊C4—51no—
941C2×C4⋊C4—51no—
942C2×C4⋊C4—51no—
943C2×C4⋊C4—51no—
944C2×C4⋊C4—51no—
945C2×C4⋊C4—51no—
946C2×C4⋊C4—51no—
947C2×C4⋊C4—51no—
948C2×C4⋊C4—51no—
949C2×C4⋊C4—51no—
950C2×C4⋊C4—51no—
951C2×C4⋊C4—51no—
952C2×C4⋊C4—51no—
953C2×C4⋊C4—51no—
954C2×C4⋊C4—51no—
955C2×C4⋊C4—51no—
956C2×C4⋊C4—51no—
957C2×C4⋊C4—51no—
958C2×C4⋊C4—51no—
959C2×C4⋊C4—51no—
960C2×C4⋊C4—104no—
961C2×C4⋊C4—104no—
962C2×C4⋊C4C22×D511yescharacteristic
963C2×C4⋊C4C22×D511yescharacteristic
964C2×C4⋊C4C22×D511yescharacteristic
965C2×C4⋊C4C22×D511yescharacteristic
966C2×C4⋊C4C22×D511yescharacteristic
967C2×C4⋊C4C22×D511yescharacteristic
968C2×C4⋊C4C22×D511yescharacteristic
969C2×C4⋊C4C22×D511yescharacteristic
970C2×C4⋊C4C22×D511yescharacteristic
971C2×C4⋊C4C22×D511yescharacteristic
972C2×C4⋊C4C22×D511yescharacteristic
973C2×C4⋊C4C22×D511yescharacteristic
974C2×C22⋊C4—51no—
975C2×C22⋊C4—51no—
976C2×C22⋊C4—51no—
977C2×C22⋊C4—51no—
978C2×C22⋊C4—51no—
979C2×C22⋊C4—51no—
980C2×C22⋊C4—51no—
981C2×C22⋊C4—51no—
982C2×C22⋊C4—51no—
983C2×C22⋊C4—51no—
984C2×C22⋊C4C22×D511yescharacteristic
985C2×C22⋊C4C22×D511yescharacteristic
986C2×C22⋊C4C22×D511yescharacteristic
987C2×C22⋊C4C22×D511yescharacteristic
988C2×C22⋊C4C22×D511yescharacteristic
989C2×C22⋊C4C22×D511yescharacteristic
990C2×C22⋊C4C22×D511yescharacteristic
991C2×C22⋊C4C22×D511yescharacteristic
992C2×C42—51no—
993C2×C42—51no—
994C2×C42—51no—
995C2×C42—51no—
996C2×C42—51no—
997C2×C42—51no—
998C2×C42—51no—
999C2×C42—51no—
1000C2×C42—51no—
1001C2×C42—51no—
1002C2×C42—51no—
1003C2×C42—51no—
1004C2×C42—51no—
1005C2×C42—51no—
1006C2×C42—51no—
1007C2×C42—51no—
1008C2×C42—51no—
1009C2×C42—51no—
1010C2×C42—51no—
1011C2×C42—51no—
1012C2×C42—51no—
1013C2×C42—51no—
1014C2×C42—51no—
1015C2×C42—51no—
1016C2×C42—104no—
1017C2×C42—104no—
1018C2×C42—104no—
1019C2×C42—104no—
1020C2×C42C22×D511yescharacteristic
1021#95—51no—
1022#95—51no—
1023#95—51no—
1024#95—51no—
1025#95—51no—
1026#95—51no—
1027#95—51no—
1028#95—51no—
1029#95—51no—
1030#95—51no—
1031#95—51no—
1032#95—51no—
1033#95—51no—
1034#95—51no—
1035#95—51no—
1036#95—51no—
1037#95—51no—
1038#95—51no—
1039#95—51no—
1040#95—51no—
1041#95—51no—
1042#95—51no—
1043#95—51no—
1044#95—51no—
1045#95—51no—
1046#95—51no—
1047#95—51no—
1048#95—51no—
1049#95—51no—
1050#95—51no—
1051#95—51no—
1052#95—51no—
1053#95—51no—
1054#95—51no—
1055#95—51no—
1056#95—51no—
1057#95C22×D511yescharacteristic
1058#95C22×D511yescharacteristic
1059#95C22×D511yescharacteristic
1060#95C22×D511yescharacteristic
1061#95C22×D511yescharacteristic
1062#95C22×D511yescharacteristic
1063#95C22×D511yescharacteristic
1064#95C22×D511yescharacteristic
1065C22×C5—22no—
1066C22×C5—22no—
1067C22×C5—22no—
1068C22×C5—22no—
1069C22×C5—22no—
1070C22×C5—22no—
1071C22×C5—22no—
1072C22×C5—22no—
1073C22×C5—22no—
1074C22×C5—41no—
1075C22×C5—41no—
1076C22×C5—41no—
1077C22×C5—41no—
1078C22×C5#53314yescomplemented
1079C22×C5C23×D411yescharacteristic
1080C22×C5C23×Q811yescharacteristic
1081C22×C5C22×#4111yescharacteristic
1082C22×C5C22×#4111yescharacteristic
1083C22×C5C22×#4111yescharacteristic
1084C22×C5C2×2−1+411yescharacteristic
1085C22×C5#58511yescharacteristic
1086C4×C5—22no—
1087C4×C5—22no—
1088C4×C5—22no—
1089C4×C5—22no—
1090C4×C5—22no—
1091C4×C5—22no—
1092C4×C5—22no—
1093C4×C5—41no—
1094C4×C5—41no—
1095C4×C5—41no—
1096C4×C5—41no—
1097C4×C5—41no—
1098C4×C5—41no—
1099Dic5—22no—
1100Dic5—22no—
1101Dic5—22no—
1102Dic5—22no—
1103Dic5—22no—
1104Dic5—22no—
1105Dic5—22no—
1106Dic5—41no—
1107Dic5—41no—
1108Dic5—41no—
1109Dic5—41no—
1110Dic5—41no—
1111Dic5—41no—
1112Dic5—41no—
1113Dic5#52514yes—
1114Dic5D4×Q814yes—
1115C24C23×D511yescharacteristic
1116C24C23×D511yescharacteristic
1117C2×Q8—22no—
1118C2×Q8—22no—
1119C2×Q8—41no—
1120C2×Q8—54no—
1121C2×Q8—54no—
1122C2×Q8—102no—
1123C2×Q8—102no—
1124C2×Q8—102no—
1125C2×Q8—102no—
1126C2×Q8—102no—
1127C2×Q8—102no—
1128C2×Q8—102no—
1129C2×Q8—102no—
1130C2×Q8—102no—
1131C2×Q8—102no—
1132C2×Q8—102no—
1133C2×Q8—102no—
1134C2×Q8—1032no—
1135C2×Q8—102no—
1136C2×Q8—102no—
1137C2×Q8—102no—
1138C2×Q8—201no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4Q8×D514yes—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—51no—
1155C22×C4—51no—
1156C22×C4—54no—
1157C22×C4—54no—
1158C22×C4—54no—
1159C22×C4—51no—
1160C22×C4—51no—
1161C22×C4—51no—
1162C22×C4—51no—
1163C22×C4—51no—
1164C22×C4—51no—
1165C22×C4—51no—
1166C22×C4—51no—
1167C22×C4—51no—
1168C22×C4—51no—
1169C22×C4—51no—
1170C22×C4—51no—
1171C22×C4—51no—
1172C22×C4—51no—
1173C22×C4—102no—
1174C22×C4—102no—
1175C22×C4—102no—
1176C22×C4—102no—
1177C22×C4—102no—
1178C22×C4—102no—
1179C22×C4—102no—
1180C22×C4—102no—
1181C22×C4—102no—
1182C22×C4—102no—
1183C22×C4—102no—
1184C22×C4—102no—
1185C22×C4—102no—
1186C22×C4—102no—
1187C22×C4—201no—
1188C22×C4C23×D511yescharacteristic
1189C22×C4C23×D511yescharacteristic
1190C22×C4C23×D511yescharacteristic
1191C22×C4C23×D511yescharacteristic
1192C22×C4C23×D511yescharacteristic
1193C22×C4C23×D511yescharacteristic
1194C22×C4C23×D511yescharacteristic
1195C22×C4C23×D511yescharacteristic
1196C22×C4C23×D511yescharacteristic
1197C22×C4C23×D511yescharacteristic
1198C22×C4C23×D511yescharacteristic
1199C22×C4C23×D511yescharacteristic
1200C22×C4C23×D511yescharacteristic
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—41no—
1212C4⋊C4—54no—
1213C4⋊C4—54no—
1214C4⋊C4—54no—
1215C4⋊C4—102no—
1216C4⋊C4—102no—
1217C4⋊C4—102no—
1218C4⋊C4—102no—
1219C4⋊C4—102no—
1220C4⋊C4—102no—
1221C4⋊C4—102no—
1222C4⋊C4—102no—
1223C4⋊C4—102no—
1224C4⋊C4—102no—
1225C4⋊C4—102no—
1226C4⋊C4—102no—
1227C4⋊C4—102no—
1228C4⋊C4—102no—
1229C4⋊C4—102no—
1230C4⋊C4—102no—
1231C4⋊C4—102no—
1232C4⋊C4—102no—
1233C4⋊C4—102no—
1234C4⋊C4—102no—
1235C4⋊C4—102no—
1236C4⋊C4—102no—
1237C4⋊C4—102no—
1238C4⋊C4—102no—
1239C4⋊C4—102no—
1240C4⋊C4—102no—
1241C4⋊C4—102no—
1242C4⋊C4—102no—
1243C4⋊C4—102no—
1244C4⋊C4—102no—
1245C4⋊C4—201no—
1246C4⋊C4—201no—
1247C4⋊C4—201no—
1248C4⋊C4—201no—
1249C4⋊C4—201no—
1250C4⋊C4D4×D514yes—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—41no—
1258C22⋊C4—54no—
1259C22⋊C4—54no—
1260C22⋊C4—102no—
1261C22⋊C4—102no—
1262C22⋊C4—102no—
1263C22⋊C4—102no—
1264C22⋊C4—102no—
1265C22⋊C4—102no—
1266C22⋊C4—102no—
1267C22⋊C4—201no—
1268C22⋊C4#71114yes—
1269C42—22no—
1270C42—54no—
1271C42—54no—
1272C42—54no—
1273C42—54no—
1274C42—102no—
1275C42—102no—
1276C42—102no—
1277C42—102no—
1278C42—102no—
1279C42—102no—
1280C42—102no—
1281C42—102no—
1282C42—102no—
1283C42—102no—
1284C42—102no—
1285C42—102no—
1286C42—102no—
1287C42—102no—
1288C42—102no—
1289C42—102no—
1290C42—102no—
1291C42—102no—
1292C42—102no—
1293C42—201no—
1294C2×C5—24no—
1295C2×C5—42no—
1296C2×C5C2×#52511yescharacteristic
1297C2×C5C2×#53311yescharacteristic
1298C2×C5#346111yescharacteristic
1299C2×C5C2×D4×Q811yescharacteristic
1300C2×C5D4×#4111yescharacteristic
1301C2×C5Q8×#4111yescharacteristic
1302C2×C5#348211yescharacteristic
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23C2×#71112yes—
1314C23C2×Q8×D512yes—
1315C23C2×Q8×D512yes—
1316C23D5×#4112yes—
1317C23C24×D511yescharacteristic
1318Q8—44no—
1319Q8—108no—
1320Q8—108no—
1321Q8—108no—
1322Q8—108no—
1323Q8—204no—
1324Q8—204no—
1325D4—28no—
1326C2×C4—28no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—44no—
1360C2×C4—44no—
1361C2×C4—44no—
1362C2×C4—52no—
1363C2×C4—52no—
1364C2×C4—52no—
1365C2×C4—52no—
1366C2×C4—52no—
1367C2×C4—52no—
1368C2×C4—52no—
1369C2×C4—52no—
1370C2×C4—52no—
1371C2×C4—52no—
1372C2×C4—52no—
1373C2×C4—52no—
1374C2×C4—52no—
1375C2×C4—108no—
1376C2×C4—108no—
1377C2×C4—108no—
1378C2×C4—108no—
1379C2×C4—101no—
1380C2×C4—101no—
1381C2×C4—101no—
1382C2×C4—101no—
1383C2×C4—101no—
1384C2×C4—101no—
1385C2×C4—101no—
1386C2×C4—101no—
1387C2×C4—101no—
1388C2×C4—101no—
1389C2×C4—101no—
1390C2×C4—101no—
1391C2×C4—101no—
1392C2×C4—101no—
1393C2×C4—101no—
1394C2×C4—101no—
1395C2×C4—101no—
1396C2×C4—101no—
1397C2×C4—101no—
1398C2×C4—101no—
1399C2×C4—101no—
1400C2×C4—101no—
1401C2×C4—101no—
1402C2×C4—101no—
1403C2×C4—101no—
1404C2×C4—101no—
1405C2×C4—101no—
1406C2×C4—101no—
1407C2×C4—101no—
1408C2×C4—101no—
1409C2×C4—101no—
1410C2×C4—101no—
1411C2×C4—101no—
1412C2×C4—101no—
1413C2×C4—101no—
1414C2×C4—204no—
1415C2×C4—204no—
1416C2×C4C2×D4×D512yes—
1417C2×C4C2×D4×D512yes—
1418C2×C4C2×D4×D512yes—
1419C2×C4C2×#71112yes—
1420C2×C4C2×#71112yes—
1421C2×C4C2×Q8×D512yes—
1422C2×C4D5×#4112yes—
1423C5#3469111yescharacteristic, complemented, Sylow
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22#6595614yescomplemented
1438C22C22×D4×D511yescharacteristic
1439C22C22×#71111yescharacteristic
1440C22C22×Q8×D511yescharacteristic
1441C22C2×D5×#4111yescharacteristic
1442C22C2×D5×#4111yescharacteristic
1443C22#6628511yescharacteristic
1444C22D5×2−1+411yescharacteristic
1445C4—22no—
1446C4—22no—
1447C4—22no—
1448C4—22no—
1449C4—22no—
1450C4—22no—
1451C4—22no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—54no—
1459C4—54no—
1460C4—102no—
1461C4—102no—
1462C4—102no—
1463C4—102no—
1464C4—102no—
1465C4—102no—
1466C4—102no—
1467C4—201no—
1468C4—201no—
1469C4—201no—
1470C4—201no—
1471C4—201no—
1472C4—201no—
1473C4—201no—
1474C2—24no—
1475C2—42no—
1476C2C2×#6595611yescharacteristic
1477C2D5×#52511yescharacteristic
1478C2#1061833011yescharacteristic
1479C2D4×#71111yescharacteristic
1480C2#1061857711yescharacteristic
1481C2D4×Q8×D511yescharacteristic
1482C2#1061882411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2449C2
prime radicalC22×C5×D4C23
hypercenter#2449D5
hypocenterC5#34691
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#65956C2semidirect
2. C22×#4033C2semidirect
4. #10614499C2semidirect
5. #10614494C2semidirect
6. Dic5×C22⋊Q8C2semidirect
9. #10613905C2semidirect
10. #10609751C2semidirect
11. #10609749C2semidirect
12. #10609478C2semidirect
13. #10609471C2semidirect
14. #10609018C2semidirect
15. #10609013C2semidirect
16. #10608906C2semidirect
17. #10608902C2semidirect
18. #10607748C2semidirect
19. #10607698C2semidirect
20. #10606726C2semidirect
21. #10606669C2semidirect
26. #10606171C2semidirect
27. #10606164C2semidirect
28. #10606143C2semidirect
29. #10606112C2semidirect
30. #10606112C2semidirect
31. #10606112C2semidirect
249. D4×Dic5Q8semidirect
332. #4033D4semidirect
464. C22×Dic5C2×Q8semidirect
531. C22⋊Dic5C2×Q8semidirect
541. C4⋊Dic5C2×Q8semidirect
593. C4×Dic5C2×Q8semidirect
1078. C22×C5#533semidirect
1423. C5#34691semidirect
1437. C22#65956semidirect

Maximal subgroups

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

subgroupindex
C2×#659562
C22×#40332
C5×#24492
#106144992
#106144942
Dic5×C22⋊Q82
#106140912
C4×D4×Dic52
#106139052
#106097512
#106097492
#106094782
#106094712
#106090182
#106090132
#106089062
#106089022
#106077482
#106076982
#106067262
#106066692
#106064242
#106064202
#106063882
#106061712
#106061642
#106061432
#106061122
#346915