Finite Group Databasebeta

← #12267586

Subgroups — #12267586

Order 1280.

2548 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66040C211yesmaximal, characteristic, complemented
2C22×#4033C211yesmaximal, characteristic, complemented
3C5×#2481C211yesmaximal, characteristic, complemented
4#10614809C211yesmaximal, characteristic, complemented
5#10613926C211yesmaximal, characteristic, complemented
6#10609868C211yesmaximal, characteristic, complemented
7#10609865C211yesmaximal, characteristic, complemented
8#10609862C211yesmaximal, characteristic, complemented
9#10609861C211yesmaximal, characteristic, complemented
10#10609200C211yesmaximal, characteristic, complemented
11#10609191C211yesmaximal, characteristic, complemented
12#10609017C211yesmaximal, characteristic, complemented
13#10609013C211yesmaximal, characteristic, complemented
14#10607585C211yesmaximal, characteristic, complemented
15#10607185C211yesmaximal, characteristic, complemented
16#10607056C211yesmaximal, characteristic, complemented
17#10606735C211yesmaximal, characteristic, complemented
18#10606672C211yesmaximal, characteristic, complemented
19#10606669C211yesmaximal, characteristic, complemented
20#10606433C211yesmaximal, characteristic, complemented
21#10606432C211yesmaximal, characteristic, complemented
22#10606423C211yesmaximal, characteristic
23#10606391C211yesmaximal, characteristic, complemented
24#10606391C211yesmaximal, characteristic, complemented
25#10606388C211yesmaximal, characteristic, complemented
26#10606136C211yesmaximal, characteristic, complemented
27#10606108C211yesmaximal, characteristic, complemented
28#10605633C211yesmaximal, characteristic, complemented
29#10605596C211yesmaximal, characteristic, complemented
30#10605234C211yesmaximal, characteristic, complemented
31C4×#4027C211yesmaximal, characteristic, complemented
32C23×Dic10C2211yescharacteristic
33C2×C5×#126C2211yescharacteristic
34C22×C5×C4⋊C4C2211yescharacteristic
35C2×#4085C2211yescharacteristic
36C2×#4085C2211yescharacteristic
37C2×D4×Dic5C2211yescharacteristic
38C2×#4076C2211yescharacteristic
39C2×C4×C22⋊D5C2211yescharacteristic
40C22×#683C2211yescharacteristic
41C22×#683C2211yescharacteristic
42C22×C4×Dic5C2211yescharacteristic
43C22×C4×Dic5C2211yescharacteristic
44C22×C4×Dic5C2211yescharacteristic
45#66040—28no—
46C2×#4042C2211yescharacteristic
47C2×#4042C2211yescharacteristic
48C2×#4040C2211yescharacteristic
49C2×#4039C2211yescharacteristic
50C2×#4038C2211yescharacteristic
51C2×#4035C2211yescharacteristic
52C2×#4033—28no—
53C2×#4033C2211yescharacteristic
54C2×#4033C2211yescharacteristic
55C2×#4033C2211yescharacteristic
56C2×#4033C2211yescharacteristic
57C2×#4033C2211yescharacteristic
58C2×#4033C2211yescharacteristic
59C2×#4033C2211yescharacteristic
60C2×#4033C2211yescharacteristic
61C2×#4031C2211yescharacteristic
62C2×#4031C2211yescharacteristic
63C2×#4030C2211yescharacteristic
64C2×#4029C2211yescharacteristic
65C2×#4027C2211yescharacteristic
66C2×#4027C2211yescharacteristic
67C2×#4027C2211yescharacteristic
68C2×#4027C2211yescharacteristic
69C2×#4027C2211yescharacteristic
70C2×#4023C2211yescharacteristic
71C2×#4022C2211yescharacteristic
72C2×C42×D5C2211yescharacteristic
73C5×#400C2211yescharacteristic
74C5×#400C2211yescharacteristic
75C5×#397C2211yescharacteristic
76C5×#396C2211yescharacteristic
77C5×#388C2211yescharacteristic
78C5×#387C2211yescharacteristic
79C5×#387C2211yescharacteristic
80C5×#386C2211yescharacteristic
81C5×#386C2211yescharacteristic
82C5×#386C2211yescharacteristic
83C5×#385C2211yescharacteristic
84C5×#380C2211yescharacteristic
85C4×C5×C22⋊C4C2211yescharacteristic
86#65509C2211yescharacteristic
87#65502C2211yescharacteristic
88#65502C2211yescharacteristic
89#65502C2211yescharacteristic
90#65499C2211yescharacteristic
91#65282C2211yescharacteristic
92#65281C2211yescharacteristic
93#65280C2211yescharacteristic
94#65279C2211yescharacteristic
95#65279C2211yescharacteristic
96#65278C2211yescharacteristic
97#65277C2211yescharacteristic
98#65273C2211yescharacteristic
99#65272C2211yescharacteristic
100#65271C2211yescharacteristic
101#65270C2211yescharacteristic
102#65268C2211yescharacteristic
103#65268C2211yescharacteristic
104#65267C2211yescharacteristic
105C4⋊C4×Dic5C2211yescharacteristic
106C4⋊C4×Dic5C2211yescharacteristic
107#65262C2211yescharacteristic
108#65261C2211yescharacteristic
109#65248C2211yescharacteristic
110#65248C2211yescharacteristic
111#65247C2211yescharacteristic
112#65247C2211yescharacteristic
113#65247C2211yescharacteristic
114#65246C2211yescharacteristic
115#65246C2211yescharacteristic
116#65246C2211yescharacteristic
117#65239C2211yescharacteristic
118#65238C2211yescharacteristic
119#65237C2211yescharacteristic
120#65236C2211yescharacteristic
121#65236C2211yescharacteristic
122#65235C2211yescharacteristic
123#65234C2211yescharacteristic
124#65234C2211yescharacteristic
125#65233C2211yescharacteristic
126#65233C2211yescharacteristic
127#65233C2211yescharacteristic
128#65231C2211yescharacteristic
129#65231C2211yescharacteristic
130C22⋊C4×Dic5C2211yescharacteristic
131C22⋊C4×Dic5C2211yescharacteristic
132C22⋊C4×Dic5C2211yescharacteristic
133C22⋊C4×Dic5C2211yescharacteristic
134C22⋊C4×Dic5C2211yescharacteristic
135#65229C2211yescharacteristic
136C4×#685C2211yescharacteristic
137#65222C2211yescharacteristic
138#65222C2211yescharacteristic
139C4×#683C2211yescharacteristic
140C42×Dic5C2211yescharacteristic
141#64965C2211yescharacteristic
142#64965C2211yescharacteristic
143#64964C2211yescharacteristic
144#64964C2211yescharacteristic
145#64962C2211yescharacteristic
146#64962C2211yescharacteristic
147#64962C2211yescharacteristic
148#64962C2211yescharacteristic
149#64961C2211yescharacteristic
150#64959C2211yescharacteristic
151#64959C2211yescharacteristic
152#64959C2211yescharacteristic
153#64958C2211yescharacteristic
154#64958C2211yescharacteristic
155#64957C2211yescharacteristic
156#64956C2211yescharacteristic
157#64955C2211yescharacteristic
158#64955C2211yescharacteristic
159#64955C2211yescharacteristic
160#64955C2211yescharacteristic
161#64955C2211yescharacteristic
162#64955C2211yescharacteristic
163#64955C2211yescharacteristic
164#64947C2211yescharacteristic
165#64947C2211yescharacteristic
166#64947C2211yescharacteristic
167#64946C2211yescharacteristic
168#64946C2211yescharacteristic
169#64944C2211yescharacteristic
170#64943C2211yescharacteristic
171#64942C2211yescharacteristic
172#64941C2211yescharacteristic
173#64939C2211yescharacteristic
174#64938C2211yescharacteristic
175#64938C2211yescharacteristic
176#64938C2211yescharacteristic
177#64938C2211yescharacteristic
178#64938C2211yescharacteristic
179#64937C2211yescharacteristic
180#64937C2211yescharacteristic
181#64936C2211yescharacteristic
182#64936C2211yescharacteristic
183#64936C2211yescharacteristic
184#64936C2211yescharacteristic
185#64935C2211yescharacteristic
186#64935C2211yescharacteristic
187#64935C2211yescharacteristic
188#64935C2211yescharacteristic
189#34708—51nomaximal, Sylow
190C22×C5×D4C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C22×C22⋊D5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C22×C22⋊D5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C23×Dic5C2311yescharacteristic
199C23×Dic5C2311yescharacteristic
200C23×Dic5C2311yescharacteristic
201C23×Dic5C2311yescharacteristic
202C23×Dic5C2311yescharacteristic
203C22×D20C2311yescharacteristic
204C22×C4×D5C2311yescharacteristic
205C22×C4×D5C2311yescharacteristic
206C22×C4×D5C2311yescharacteristic
207C22×C4×D5C2311yescharacteristic
208C22×Dic10—24no—
209C22×Dic10—24no—
210C22×Dic10—24no—
211C22×Dic10C2311yescharacteristic
212C22×Dic10C2311yescharacteristic
213C22×Dic10C2311yescharacteristic
214C22×Dic10C2311yescharacteristic
215C5×#126—24no—
216C2×C5×C4⋊C4—24no—
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×C22⋊C4C2311yescharacteristic
226C2×C5×C22⋊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×C42×C5C2311yescharacteristic
235C2×C42×C5C2311yescharacteristic
236C2×C22⋊Dic5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243#4085—24no—
244#4085—24no—
245D4×Dic5—24no—
246#4076—24no—
247C4×C22⋊D5—24no—
248C2×#685C2311yescharacteristic
249C2×#685C2311yescharacteristic
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×#685C2311yescharacteristic
261C2×#685C2311yescharacteristic
262C2×#685C2311yescharacteristic
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×C4⋊Dic5C2311yescharacteristic
269C2×C4⋊Dic5C2311yescharacteristic
270C2×C4⋊Dic5C2311yescharacteristic
271C2×C4⋊Dic5C2311yescharacteristic
272C2×#683—24no—
273C2×#683—24no—
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×#683C2311yescharacteristic
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×C4×Dic5—24no—
297C2×C4×Dic5—24no—
298C2×C4×Dic5—24no—
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
319C2×C4×Dic5C2311yescharacteristic
320#4042—24no—
321#4042—24no—
322#4040—24no—
323#4039—24no—
324#4038—24no—
325#4035—24no—
326#4033—24no—
327#4033—24no—
328#4033—24no—
329#4033—24no—
330#4033—24no—
331#4033—24no—
332#4033—24no—
333#4033D418yescomplemented
334#4031—24no—
335#4031—24no—
336#4030—24no—
337#4029—24no—
338#4027—24no—
339#4027—24no—
340#4027—24no—
341#4027—24no—
342#4027—24no—
343#4023—24no—
344#4022—24no—
345C42×D5—24no—
346C5×#95C2311yescharacteristic
347C5×#95C2311yescharacteristic
348C5×#95C2311yescharacteristic
349C5×#95C2311yescharacteristic
350C5×#95C2311yescharacteristic
351C5×#95C2311yescharacteristic
352C5×#95C2311yescharacteristic
353C5×#95C2311yescharacteristic
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
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
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386C2×#529—51no—
387C22×C4×Q8—51no—
388#2481—51no—
389#2481D511yescharacteristic, complemented
390#2469—51no—
391#2469—51no—
392#2458—51no—
393#2458—51no—
394#2453—51no—
395#2448—51no—
396#2443—51no—
397#2443—51no—
398#2442—51no—
399#2436—51no—
400#2426—51no—
401#2421—51no—
402#2416—51no—
403#2409—51no—
404#2398—51no—
405#2398—51no—
406#2396—51no—
407#2396—51no—
408C4×#124—51no—
409C4×C22⋊Q8—51no—
410C4×#121—51no—
411C4×#121—51no—
412C4×#121—51no—
413#2295—51no—
414#2290—51no—
415#2290—51no—
416C42×D4—51no—
417C24×C5C2411yescharacteristic
418C24×C5C2411yescharacteristic
419C23×D5C2411yescharacteristic
420C23×D5C2411yescharacteristic
421C2×C5×D4—22no—
422C2×C5×D4—22no—
423C2×C5×D4—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—41no—
432C22×C4×C5—41no—
433C22×C4×C5C2411yescharacteristic
434C22×C4×C5C2411yescharacteristic
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
446C2×C22⋊D5—22no—
447C2×C22⋊D5—22no—
448C2×C22⋊D5—22no—
449C2×C22⋊D5—22no—
450C2×C22⋊D5—22no—
451C2×C22⋊D5—22no—
452C2×C22⋊D5—22no—
453C2×C22⋊D5—22no—
454C2×C22⋊D5—22no—
455C2×C22⋊D5—22no—
456C2×C22⋊D5—41no—
457C2×C22⋊D5#4114yes—
458C22×Dic5—22no—
459C22×Dic5—22no—
460C22×Dic5—22no—
461C22×Dic5—22no—
462C22×Dic5—22no—
463C22×Dic5—22no—
464C22×Dic5—22no—
465C22×Dic5—22no—
466C22×Dic5—22no—
467C22×Dic5—22no—
468C22×Dic5—22no—
469C22×Dic5—22no—
470C22×Dic5—41no—
471C22×Dic5#4114yes—
472C22×Dic5#4114yes—
473C22×Dic5C2411yescharacteristic
474C22×Dic5C2411yescharacteristic
475C22×Dic5C2411yescharacteristic
476C22×Dic5C2411yescharacteristic
477C22×Dic5C2411yescharacteristic
478C22×Dic5C2411yescharacteristic
479C22×Dic5C2411yescharacteristic
480C22×Dic5C2411yescharacteristic
481C22×Dic5C2411yescharacteristic
482C22×Dic5C2411yescharacteristic
483C22×Dic5C2411yescharacteristic
484C22×Dic5C2411yescharacteristic
485C22×Dic5C2411yescharacteristic
486C22×Dic5C2411yescharacteristic
487C2×D20—22no—
488C2×D20—22no—
489C2×D20—41no—
490C2×C4×D5—22no—
491C2×C4×D5—22no—
492C2×C4×D5—22no—
493C2×C4×D5—22no—
494C2×C4×D5—22no—
495C2×C4×D5—22no—
496C2×C4×D5—22no—
497C2×C4×D5—22no—
498C2×C4×D5—22no—
499C2×C4×D5—22no—
500C2×C4×D5—22no—
501C2×C4×D5—41no—
502C2×Dic10—232no—
503C2×Dic10—22no—
504C2×Dic10—22no—
505C2×Dic10—22no—
506C2×Dic10—22no—
507C2×Dic10—22no—
508C2×Dic10—22no—
509C2×Dic10—22no—
510C2×Dic10—22no—
511C2×Dic10—22no—
512C2×Dic10—22no—
513C2×Dic10C2×D414yes—
514C2×Dic10#4114yes—
515C5×C4⋊C4—22no—
516C5×C4⋊C4—22no—
517C5×C4⋊C4—22no—
518C5×C4⋊C4—22no—
519C5×C4⋊C4—22no—
520C5×C4⋊C4—22no—
521C5×C4⋊C4—41no—
522C5×C4⋊C4C2×D414yes—
523C5×C22⋊C4—22no—
524C5×C22⋊C4—22no—
525C5×C22⋊C4—22no—
526C5×C22⋊C4—22no—
527C5×C22⋊C4—22no—
528C5×C22⋊C4—22no—
529C5×C22⋊C4—22no—
530C5×C22⋊C4—41no—
531C5×C22⋊C4—41no—
532C42×C5—22no—
533C42×C5—41no—
534C22⋊Dic5—22no—
535C22⋊Dic5—22no—
536C22⋊Dic5—22no—
537C22⋊Dic5—22no—
538C22⋊Dic5—22no—
539C22⋊Dic5—22no—
540C22⋊Dic5—22no—
541#685—22no—
542#685—22no—
543#685—22no—
544#685—22no—
545#685—22no—
546#685—22no—
547#685—22no—
548#685—22no—
549#685—22no—
550#685—22no—
551#685—22no—
552#685—22no—
553#685—22no—
554#685—22no—
555#685—22no—
556#685—22no—
557#685—22no—
558#685—22no—
559#685—41no—
560#685—41no—
561C4⋊Dic5—22no—
562C4⋊Dic5—22no—
563C4⋊Dic5—22no—
564C4⋊Dic5—41no—
565#683—22no—
566#683—22no—
567#683—22no—
568#683—22no—
569#683—22no—
570#683—22no—
571#683—22no—
572#683—22no—
573#683—22no—
574#683—22no—
575#683—22no—
576#683—22no—
577#683—22no—
578#683—22no—
579#683—22no—
580#683—22no—
581#683—22no—
582#683—22no—
583#683—41no—
584#683—41no—
585#683C2×D414yes—
586#683C2×D414yes—
587C4×Dic5—22no—
588C4×Dic5—22no—
589C4×Dic5—22no—
590C4×Dic5—22no—
591C4×Dic5—22no—
592C4×Dic5—22no—
593C4×Dic5—22no—
594C4×Dic5—22no—
595C4×Dic5—22no—
596C4×Dic5—22no—
597C4×Dic5—22no—
598C4×Dic5—22no—
599C4×Dic5—22no—
600C4×Dic5—22no—
601C4×Dic5—22no—
602C4×Dic5—22no—
603C4×Dic5—22no—
604C4×Dic5—22no—
605C4×Dic5C2×D414yes—
606C4×Dic5C2×D414yes—
607C4×Dic5C2×D414yes—
608C23×Q8—51no—
609#529—108no—
610C2×#126—51no—
611C2×#126C2×D511yescharacteristic
612C2×#125—51no—
613C2×#124—51no—
614C2×#124—51no—
615C2×#123—51no—
616C2×#123—51no—
617C2×C22⋊Q8—51no—
618C2×C22⋊Q8—51no—
619C2×#121—51no—
620C2×#121—51no—
621C2×#121—51no—
622C2×#121—51no—
623C2×C4×Q8—51no—
624C2×C4×Q8—51no—
625C2×C4×Q8—51no—
626C2×C4×Q8—51no—
627C2×C4×Q8—51no—
628C2×C4×Q8—51no—
629C2×C4×Q8—51no—
630C2×C4×Q8—51no—
631C2×C4×Q8—108no—
632C2×C4×D4—51no—
633C2×C4×D4—51no—
634C2×C4×D4—51no—
635C2×C4×D4—51no—
636C2×C4×D4—51no—
637C2×C4×D4—51no—
638C2×C4×D4—51no—
639C2×C4×D4—51no—
640C2×#117—51no—
641C2×#117—51no—
642C22×C4⋊C4—51no—
643C22×C4⋊C4—51no—
644C22×C4⋊C4C2×D511yescharacteristic
645C22×C42—51no—
646C22×C42—51no—
647C22×C42—51no—
648C22×C42—51no—
649#400—51no—
650#400—51no—
651#400—51no—
652#400—51no—
653#400C2×D511yescharacteristic
654#400C2×D511yescharacteristic
655#399—51no—
656#399—51no—
657#398—51no—
658#398—51no—
659#398—51no—
660#398—51no—
661#397—51no—
662#397—51no—
663#397—51no—
664#397C2×D511yescharacteristic
665#396—51no—
666#396—51no—
667#396—51no—
668#396C2×D511yescharacteristic
669#395—51no—
670#395—51no—
671#394—51no—
672#394—51no—
673#394—51no—
674#394—51no—
675#393—51no—
676#393—51no—
677#393—51no—
678#393—51no—
679#393—51no—
680#393—51no—
681#391—51no—
682#391—51no—
683#391—51no—
684#391—51no—
685#390—51no—
686#390—51no—
687#390—51no—
688#390—51no—
689#389—51no—
690#389—51no—
691#389—51no—
692#389—51no—
693#389—51no—
694#389—51no—
695#388—51no—
696#388—51no—
697#388—51no—
698#388—51no—
699#388—51no—
700#388—51no—
701#388—51no—
702#388—51no—
703#388—51no—
704#388—51no—
705#388—51no—
706#388—51no—
707#388—51no—
708#388C2×D511yescharacteristic
709#387—51no—
710#387—51no—
711#387—51no—
712#387—51no—
713#387—51no—
714#387—51no—
715#387—51no—
716#387—51no—
717#387C2×D511yescharacteristic
718#387C2×D511yescharacteristic
719#386—51no—
720#386—51no—
721#386—51no—
722#386—51no—
723#386—51no—
724#386—51no—
725#386—51no—
726#386C2×D511yescharacteristic
727#386C2×D511yescharacteristic
728#386C2×D511yescharacteristic
729#385—51no—
730#385—51no—
731#385—51no—
732#385—51no—
733#385—51no—
734#385C2×D511yescharacteristic
735#382—51no—
736#380—51no—
737#380—51no—
738#380—51no—
739#380C2×D511yescharacteristic
740C4×C4⋊C4—51no—
741C4×C4⋊C4—51no—
742C4×C4⋊C4—51no—
743C4×C4⋊C4—51no—
744C4×C4⋊C4—51no—
745C4×C4⋊C4—51no—
746C4×C4⋊C4—51no—
747C4×C4⋊C4—51no—
748C4×C22⋊C4—51no—
749C4×C22⋊C4—51no—
750C4×C22⋊C4—51no—
751C4×C22⋊C4—51no—
752C4×C22⋊C4—51no—
753C4×C22⋊C4—51no—
754C4×C22⋊C4—51no—
755C4×C22⋊C4—51no—
756C4×C22⋊C4—51no—
757C4×C22⋊C4—51no—
758C4×C22⋊C4—51no—
759C4×C22⋊C4—51no—
760C4×C22⋊C4—51no—
761C4×C22⋊C4C2×D511yescharacteristic
762#376—51no—
763#376—51no—
764C43—51no—
765C23×C5—21no—
766C23×C5—21no—
767C23×C5—21no—
768C23×C5—21no—
769C23×C5—21no—
770C23×C5—21no—
771C23×C5—21no—
772C23×C5—21no—
773C23×C5—21no—
774C23×C5—21no—
775C23×C5—21no—
776C23×C5C2×#4112yes—
777C23×C5C2×#4112yes—
778C23×C5C2×#4112yes—
779C23×C5C2511yescharacteristic
780C22×D5—21no—
781C22×D5—21no—
782C22×D5—21no—
783C22×D5—21no—
784C22×D5—21no—
785C22×D5—21no—
786C22×D5—21no—
787C22×D5—21no—
788C22×D5—21no—
789C22×D5—21no—
790C22×D5—21no—
791C22×D5—21no—
792C22×D5—21no—
793C22×D5C2×#4112yes—
794C5×D4—44no—
795C2×C4×C5—28no—
796C2×C4×C5—21no—
797C2×C4×C5—21no—
798C2×C4×C5—21no—
799C2×C4×C5—21no—
800C2×C4×C5—21no—
801C2×C4×C5—21no—
802C2×C4×C5—21no—
803C2×C4×C5—21no—
804C2×C4×C5—21no—
805C2×C4×C5—21no—
806C2×C4×C5—21no—
807C2×C4×C5—21no—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—21no—
829C2×C4×C5—21no—
830C2×C4×C5—21no—
831C2×C4×C5—44no—
832C2×C4×C5—44no—
833C2×C4×C5C22×D412yes—
834C2×C4×C5C22×D412yes—
835C2×C4×C5C22×D412yes—
836C2×C4×C5C2×#4112yes—
837C22⋊D5—28no—
838C22⋊D5—44no—
839C22⋊D5—44no—
840C22⋊D5—44no—
841C2×Dic5—28no—
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—21no—
851C2×Dic5—21no—
852C2×Dic5—21no—
853C2×Dic5—21no—
854C2×Dic5—28no—
855C2×Dic5—28no—
856C2×Dic5—21no—
857C2×Dic5—21no—
858C2×Dic5—21no—
859C2×Dic5—21no—
860C2×Dic5—21no—
861C2×Dic5—21no—
862C2×Dic5—21no—
863C2×Dic5—21no—
864C2×Dic5—21no—
865C2×Dic5—21no—
866C2×Dic5—21no—
867C2×Dic5—21no—
868C2×Dic5—21no—
869C2×Dic5—21no—
870C2×Dic5—21no—
871C2×Dic5—21no—
872C2×Dic5—21no—
873C2×Dic5—21no—
874C2×Dic5—44no—
875C2×Dic5—44no—
876C2×Dic5C22×D412yes—
877C2×Dic5C22×D412yes—
878C2×Dic5C22×D412yes—
879C2×Dic5C22×D412yes—
880C2×Dic5C2×#4112yes—
881C2×Dic5C2×#4112yes—
882C2×Dic5C2×#4112yes—
883C2×Dic5C2×#4112yes—
884C2×Dic5C2×#4112yes—
885C2×Dic5C2×#4112yes—
886C2×Dic5C2×#4112yes—
887C2×Dic52−1+412yes—
888D20—44no—
889C4×D5—44no—
890C4×D5—44no—
891C4×D5—44no—
892C4×D5—44no—
893Dic10—28no—
894Dic10—28no—
895Dic10—28no—
896Dic10—28no—
897C22×Q8—51no—
898C22×Q8—51no—
899C22×Q8—51no—
900C22×Q8—51no—
901C22×Q8—104no—
902C22×Q8—104no—
903C22×Q8—104no—
904C22×D4—51no—
905C22×D4—51no—
906C22×D4—51no—
907C22×D4—51no—
908C22×D4—51no—
909C22×D4C22×D511yescharacteristic
910C23×C4—51no—
911C23×C4—51no—
912C23×C4—51no—
913C23×C4—51no—
914C23×C4—51no—
915C23×C4—51no—
916C23×C4—51no—
917C23×C4—51no—
918C23×C4—51no—
919C23×C4C22×D511yescharacteristic
920C23×C4C22×D511yescharacteristic
921C23×C4C22×D511yescharacteristic
922#126—24no—
923#126—104no—
924#125—104no—
925#124—104no—
926#124—104no—
927#123—104no—
928#123—104no—
929C22⋊Q8—104no—
930C22⋊Q8—104no—
931#121—104no—
932#121—104no—
933#121—104no—
934#121—104no—
935C4×Q8—58no—
936C4×Q8—104no—
937C4×Q8—104no—
938C4×Q8—104no—
939C4×Q8—104no—
940C4×Q8—104no—
941C4×Q8—104no—
942C4×Q8—104no—
943C4×D4—104no—
944C4×D4—104no—
945C4×D4—104no—
946C4×D4—104no—
947C4×D4—104no—
948C4×D4—104no—
949C4×D4—104no—
950C4×D4—104no—
951#117—104no—
952#117—104no—
953C2×C4⋊C4—24no—
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—51no—
961C2×C4⋊C4—51no—
962C2×C4⋊C4—51no—
963C2×C4⋊C4—51no—
964C2×C4⋊C4—51no—
965C2×C4⋊C4—51no—
966C2×C4⋊C4—51no—
967C2×C4⋊C4—51no—
968C2×C4⋊C4—51no—
969C2×C4⋊C4—51no—
970C2×C4⋊C4—51no—
971C2×C4⋊C4—51no—
972C2×C4⋊C4—51no—
973C2×C4⋊C4—51no—
974C2×C4⋊C4—51no—
975C2×C4⋊C4—51no—
976C2×C4⋊C4—51no—
977C2×C4⋊C4—51no—
978C2×C4⋊C4—51no—
979C2×C4⋊C4—51no—
980C2×C4⋊C4—104no—
981C2×C4⋊C4—104no—
982C2×C4⋊C4C22×D511yescharacteristic
983C2×C4⋊C4C22×D511yescharacteristic
984C2×C4⋊C4C22×D511yescharacteristic
985C2×C4⋊C4C22×D511yescharacteristic
986C2×C4⋊C4C22×D511yescharacteristic
987C2×C4⋊C4C22×D511yescharacteristic
988C2×C4⋊C4C22×D511yescharacteristic
989C2×C4⋊C4C22×D511yescharacteristic
990C2×C22⋊C4—51no—
991C2×C22⋊C4—51no—
992C2×C22⋊C4—51no—
993C2×C22⋊C4—51no—
994C2×C22⋊C4—51no—
995C2×C22⋊C4—51no—
996C2×C22⋊C4—51no—
997C2×C22⋊C4—51no—
998C2×C22⋊C4—51no—
999C2×C22⋊C4—51no—
1000C2×C22⋊C4—51no—
1001C2×C22⋊C4—51no—
1002C2×C22⋊C4—51no—
1003C2×C22⋊C4—51no—
1004C2×C22⋊C4—51no—
1005C2×C22⋊C4—51no—
1006C2×C22⋊C4—51no—
1007C2×C22⋊C4—51no—
1008C2×C22⋊C4—51no—
1009C2×C22⋊C4—51no—
1010C2×C22⋊C4—51no—
1011C2×C22⋊C4—51no—
1012C2×C22⋊C4—51no—
1013C2×C22⋊C4—51no—
1014C2×C22⋊C4—51no—
1015C2×C22⋊C4—51no—
1016C2×C22⋊C4—51no—
1017C2×C22⋊C4C22×D511yescharacteristic
1018C2×C22⋊C4C22×D511yescharacteristic
1019C2×C22⋊C4C22×D511yescharacteristic
1020C2×C22⋊C4C22×D511yescharacteristic
1021C2×C22⋊C4C22×D511yescharacteristic
1022C2×C22⋊C4C22×D511yescharacteristic
1023C2×C22⋊C4C22×D511yescharacteristic
1024C2×C22⋊C4C22×D511yescharacteristic
1025C2×C22⋊C4C22×D511yescharacteristic
1026C2×C42—51no—
1027C2×C42—51no—
1028C2×C42—51no—
1029C2×C42—51no—
1030C2×C42—51no—
1031C2×C42—51no—
1032C2×C42—51no—
1033C2×C42—51no—
1034C2×C42—51no—
1035C2×C42—51no—
1036C2×C42—51no—
1037C2×C42—51no—
1038C2×C42—51no—
1039C2×C42—51no—
1040C2×C42—51no—
1041C2×C42—51no—
1042C2×C42—51no—
1043C2×C42—51no—
1044C2×C42—51no—
1045C2×C42—51no—
1046C2×C42—51no—
1047C2×C42—104no—
1048C2×C42—104no—
1049C2×C42—104no—
1050C2×C42—104no—
1051C2×C42C22×D511yescharacteristic
1052C2×C42C22×D511yescharacteristic
1053#95—51no—
1054#95—51no—
1055#95—51no—
1056#95—51no—
1057#95—51no—
1058#95—51no—
1059#95—51no—
1060#95—51no—
1061#95—51no—
1062#95—51no—
1063#95—51no—
1064#95—51no—
1065#95—51no—
1066#95—51no—
1067#95—51no—
1068#95—51no—
1069#95—51no—
1070#95—51no—
1071#95—51no—
1072#95—51no—
1073#95—51no—
1074#95—51no—
1075#95—51no—
1076#95—51no—
1077#95—51no—
1078#95—51no—
1079#95—51no—
1080#95—51no—
1081#95C22×D511yescharacteristic
1082#95C22×D511yescharacteristic
1083#95C22×D511yescharacteristic
1084#95C22×D511yescharacteristic
1085#95C22×D511yescharacteristic
1086#95C22×D511yescharacteristic
1087#95C22×D511yescharacteristic
1088#95C22×D511yescharacteristic
1089#95C22×D511yescharacteristic
1090#95C22×D511yescharacteristic
1091#95C22×D511yescharacteristic
1092#95C22×D511yescharacteristic
1093C22×C5—22no—
1094C22×C5—22no—
1095C22×C5—22no—
1096C22×C5—22no—
1097C22×C5—22no—
1098C22×C5—22no—
1099C22×C5—41no—
1100C22×C5—41no—
1101C22×C5—41no—
1102C22×C5—41no—
1103C22×C5—41no—
1104C22×C5—41no—
1105C22×C5—41no—
1106C22×C5#52914yescomplemented
1107C22×C5C23×D411yescharacteristic
1108C22×C5C22×#4111yescharacteristic
1109C22×C5C22×#4111yescharacteristic
1110C22×C5C22×#4111yescharacteristic
1111C22×C5C22×#4111yescharacteristic
1112C22×C5C2×2−1+411yescharacteristic
1113C22×C5#58511yescharacteristic
1114C2×D5—22no—
1115C2×D5—22no—
1116C2×D5—22no—
1117C2×D5—41no—
1118C2×D5—41no—
1119C2×D5—41no—
1120C2×D5—41no—
1121C2×D5—41no—
1122C2×D5—41no—
1123C2×D5—41no—
1124C2×D5—41no—
1125C2×D5—41no—
1126C2×D5—41no—
1127C2×D5—41no—
1128C4×C5—22no—
1129C4×C5—22no—
1130C4×C5—22no—
1131C4×C5—22no—
1132C4×C5—41no—
1133C4×C5—41no—
1134C4×C5—41no—
1135C4×C5—41no—
1136C4×C5—41no—
1137C4×C5—41no—
1138C4×C5—41no—
1139C4×C5—41no—
1140C4×C5—41no—
1141Dic5—22no—
1142Dic5—22no—
1143Dic5—22no—
1144Dic5—22no—
1145Dic5—22no—
1146Dic5—22no—
1147Dic5—41no—
1148Dic5—41no—
1149Dic5—41no—
1150Dic5—41no—
1151Dic5—41no—
1152Dic5—41no—
1153Dic5#52514yes—
1154Dic5#54814yes—
1155C24—51no—
1156C24—51no—
1157C24C23×D511yescharacteristic
1158C24C23×D511yescharacteristic
1159C2×Q8—54no—
1160C2×Q8—54no—
1161C2×Q8—102no—
1162C2×Q8—102no—
1163C2×Q8—102no—
1164C2×Q8—102no—
1165C2×Q8—102no—
1166C2×Q8—102no—
1167C2×Q8—102no—
1168C2×Q8—102no—
1169C2×Q8—1032no—
1170C2×Q8—102no—
1171C2×Q8—102no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—54no—
1176C2×D4—102no—
1177C2×D4—102no—
1178C2×D4—102no—
1179C2×D4—102no—
1180C2×D4—102no—
1181C2×D4—102no—
1182C2×D4—102no—
1183C2×D4—102no—
1184C2×D4—102no—
1185C2×D4—102no—
1186C2×D4—102no—
1187C2×D4—102no—
1188C2×D4—201no—
1189C2×D4—201no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—51no—
1200C22×C4—51no—
1201C22×C4—54no—
1202C22×C4—54no—
1203C22×C4—51no—
1204C22×C4—51no—
1205C22×C4—51no—
1206C22×C4—51no—
1207C22×C4—51no—
1208C22×C4—51no—
1209C22×C4—51no—
1210C22×C4—51no—
1211C22×C4—51no—
1212C22×C4—51no—
1213C22×C4—51no—
1214C22×C4—51no—
1215C22×C4—102no—
1216C22×C4—102no—
1217C22×C4—102no—
1218C22×C4—102no—
1219C22×C4—102no—
1220C22×C4—102no—
1221C22×C4—102no—
1222C22×C4—102no—
1223C22×C4—102no—
1224C22×C4—102no—
1225C22×C4—102no—
1226C22×C4—102no—
1227C22×C4—102no—
1228C22×C4—102no—
1229C22×C4—102no—
1230C22×C4—102no—
1231C22×C4—102no—
1232C22×C4—102no—
1233C22×C4—102no—
1234C22×C4—102no—
1235C22×C4—102no—
1236C22×C4—102no—
1237C22×C4—102no—
1238C22×C4—201no—
1239C22×C4—201no—
1240C22×C4C23×D511yescharacteristic
1241C22×C4C23×D511yescharacteristic
1242C22×C4C23×D511yescharacteristic
1243C22×C4C23×D511yescharacteristic
1244C22×C4C23×D511yescharacteristic
1245C22×C4C23×D511yescharacteristic
1246C22×C4C23×D511yescharacteristic
1247C22×C4C23×D511yescharacteristic
1248C22×C4C23×D511yescharacteristic
1249C22×C4C23×D511yescharacteristic
1250C22×C4C23×D511yescharacteristic
1251C22×C4C23×D511yescharacteristic
1252C22×C4C23×D511yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—54no—
1261C4⋊C4—54no—
1262C4⋊C4—102no—
1263C4⋊C4—102no—
1264C4⋊C4—102no—
1265C4⋊C4—102no—
1266C4⋊C4—102no—
1267C4⋊C4—102no—
1268C4⋊C4—102no—
1269C4⋊C4—102no—
1270C4⋊C4—102no—
1271C4⋊C4—102no—
1272C4⋊C4—102no—
1273C4⋊C4—102no—
1274C4⋊C4—102no—
1275C4⋊C4—102no—
1276C4⋊C4—102no—
1277C4⋊C4—102no—
1278C4⋊C4—102no—
1279C4⋊C4—102no—
1280C4⋊C4—102no—
1281C4⋊C4—102no—
1282C4⋊C4—102no—
1283C4⋊C4—201no—
1284C4⋊C4—201no—
1285C4⋊C4—201no—
1286C4⋊C4D4×D514yes—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—102no—
1297C22⋊C4—102no—
1298C22⋊C4—102no—
1299C22⋊C4—102no—
1300C22⋊C4—102no—
1301C22⋊C4—102no—
1302C22⋊C4—102no—
1303C22⋊C4—102no—
1304C22⋊C4—102no—
1305C22⋊C4—102no—
1306C22⋊C4—102no—
1307C22⋊C4—102no—
1308C22⋊C4—102no—
1309C22⋊C4—102no—
1310C22⋊C4—102no—
1311C22⋊C4—102no—
1312C22⋊C4—102no—
1313C22⋊C4—102no—
1314C22⋊C4—102no—
1315C22⋊C4—102no—
1316C22⋊C4—102no—
1317C22⋊C4—102no—
1318C22⋊C4—102no—
1319C22⋊C4—102no—
1320C22⋊C4—102no—
1321C22⋊C4—201no—
1322C22⋊C4—201no—
1323C42—22no—
1324C42—41no—
1325C42—54no—
1326C42—54no—
1327C42—54no—
1328C42—102no—
1329C42—102no—
1330C42—102no—
1331C42—102no—
1332C42—102no—
1333C42—102no—
1334C42—102no—
1335C42—102no—
1336C42—102no—
1337C42—102no—
1338C42—102no—
1339C42—102no—
1340C42—102no—
1341C42—102no—
1342C42—102no—
1343C42—102no—
1344C42—102no—
1345C42—102no—
1346C2×C5—24no—
1347C2×C5—81no—
1348C2×C5C2×#52511yescharacteristic
1349C2×C5C2×#52911yescharacteristic
1350C2×C5#346111yescharacteristic
1351C2×C5C2×#54811yescharacteristic
1352C2×C5D4×#4111yescharacteristic
1353C2×C5#348011yescharacteristic
1354C2×C5#348211yescharacteristic
1355D5—42no—
1356D5—81no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—52no—
1369C23—101no—
1370C23—101no—
1371C23—101no—
1372C23—101no—
1373C23—101no—
1374C23—101no—
1375C23—101no—
1376C23—101no—
1377C23—101no—
1378C23—101no—
1379C23—101no—
1380C23—101no—
1381C23—101no—
1382C23D5×#4112yes—
1383C23D5×#4112yes—
1384C23D5×#4112yes—
1385C23C24×D511yescharacteristic
1386Q8—108no—
1387Q8—108no—
1388Q8—108no—
1389Q8—108no—
1390D4—44no—
1391D4—108no—
1392D4—204no—
1393D4—204no—
1394D4—204no—
1395D4—204no—
1396C2×C4—28no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—44no—
1433C2×C4—44no—
1434C2×C4—52no—
1435C2×C4—52no—
1436C2×C4—52no—
1437C2×C4—52no—
1438C2×C4—52no—
1439C2×C4—52no—
1440C2×C4—52no—
1441C2×C4—52no—
1442C2×C4—52no—
1443C2×C4—52no—
1444C2×C4—52no—
1445C2×C4—52no—
1446C2×C4—108no—
1447C2×C4—108no—
1448C2×C4—108no—
1449C2×C4—101no—
1450C2×C4—101no—
1451C2×C4—101no—
1452C2×C4—101no—
1453C2×C4—101no—
1454C2×C4—101no—
1455C2×C4—101no—
1456C2×C4—101no—
1457C2×C4—101no—
1458C2×C4—101no—
1459C2×C4—101no—
1460C2×C4—101no—
1461C2×C4—101no—
1462C2×C4—101no—
1463C2×C4—101no—
1464C2×C4—101no—
1465C2×C4—101no—
1466C2×C4—101no—
1467C2×C4—101no—
1468C2×C4—101no—
1469C2×C4—101no—
1470C2×C4—101no—
1471C2×C4—101no—
1472C2×C4—101no—
1473C2×C4—101no—
1474C2×C4—101no—
1475C2×C4—101no—
1476C2×C4—101no—
1477C2×C4—101no—
1478C2×C4—101no—
1479C2×C4—204no—
1480C2×C4—204no—
1481C2×C4—204no—
1482C2×C4—204no—
1483C2×C4—204no—
1484C2×C4—204no—
1485C2×C4C2×D4×D512yes—
1486C2×C4C2×D4×D512yes—
1487C2×C4C2×D4×D512yes—
1488C2×C4D5×#4112yes—
1489C5#3470811yescharacteristic, complemented, Sylow
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—102no—
1504C22—102no—
1505C22—102no—
1506C22—201no—
1507C22—201no—
1508C22—201no—
1509C22—201no—
1510C22—201no—
1511C22—201no—
1512C22—201no—
1513C22—201no—
1514C22—201no—
1515C22—201no—
1516C22—201no—
1517C22#6604014yescomplemented
1518C22C22×D4×D511yescharacteristic
1519C22C2×D5×#4111yescharacteristic
1520C22C2×D5×#4111yescharacteristic
1521C22C2×D5×#4111yescharacteristic
1522C22C2×D5×#4111yescharacteristic
1523C22#6628511yescharacteristic
1524C22D5×2−1+411yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—54no—
1539C4—54no—
1540C4—102no—
1541C4—102no—
1542C4—102no—
1543C4—102no—
1544C4—102no—
1545C4—102no—
1546C4—201no—
1547C4—201no—
1548C4—201no—
1549C4—201no—
1550C4—201no—
1551C4—201no—
1552C2—24no—
1553C2—81no—
1554C2—202no—
1555C2—401no—
1556C2D5×#52511yescharacteristic
1557C2C2×#6604011yescharacteristic
1558C2#1061833011yescharacteristic
1559C2#1061852711yescharacteristic
1560C2D5×#54811yescharacteristic
1561C2#1061872911yescharacteristic
1562C2#1061877611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2481C2
prime radical#10606423C2
hypercenter#2481D5
hypocenterC5#34708
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. C2×#66040C2semidirect
2. C22×#4033C2semidirect
3. C5×#2481C2semidirect
4. #10614809C2semidirect
5. #10613926C2semidirect
6. #10609868C2semidirect
7. #10609865C2semidirect
8. #10609862C2semidirect
9. #10609861C2semidirect
10. #10609200C2semidirect
11. #10609191C2semidirect
12. #10609017C2semidirect
13. #10609013C2semidirect
14. #10607585C2semidirect
15. #10607185C2semidirect
16. #10607056C2semidirect
17. #10606735C2semidirect
18. #10606672C2semidirect
19. #10606669C2semidirect
20. #10606433C2semidirect
21. #10606432C2semidirect
23. #10606391C2semidirect
24. #10606391C2semidirect
25. #10606388C2semidirect
26. #10606136C2semidirect
27. #10606108C2semidirect
28. #10605633C2semidirect
29. #10605596C2semidirect
30. #10605234C2semidirect
31. C4×#4027C2semidirect
333. #4033D4semidirect
389. #2481D5semidirect
1106. C22×C5#529semidirect
1489. C5#34708semidirect
1517. C22#66040semidirect

Maximal subgroups

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

subgroupindex
C2×#660402
C22×#40332
C5×#24812
#106148092
#106139262
#106098682
#106098652
#106098622
#106098612
#106092002
#106091912
#106090172
#106090132
#106075852
#106071852
#106070562
#106067352
#106066722
#106066692
#106064332
#106064322
#106064232
#106063912
#106063882
#106061362
#106061082
#106056332
#106055962
#106052342
C4×#40272
#347085