Finite Group Databasebeta

← #12306957

Subgroups — #12306957

Order 1280.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2549C211yesmaximal, characteristic, complemented
2#10614547C211yesmaximal, characteristic
3#10614547C211yesmaximal, characteristic
4#10614542C211yesmaximal, characteristic, complemented
5#10614520C211yesmaximal, characteristic, complemented
6#10609735C211yesmaximal, characteristic, complemented
7#10609712C211yesmaximal, characteristic, complemented
8#10609654C211yesmaximal, characteristic, complemented
9#10609619C211yesmaximal, characteristic, complemented
10#10608960C211yesmaximal, characteristic, complemented
11#10608954C211yesmaximal, characteristic, complemented
12#10608951C211yesmaximal, characteristic, complemented
13#10608947C211yesmaximal, characteristic, complemented
14#10608386C211yesmaximal, characteristic, complemented
15#10608321C211yesmaximal, characteristic, complemented
16#10608317C211yesmaximal, characteristic, complemented
17#10608297C211yesmaximal, characteristic, complemented
18#10608012C211yesmaximal, characteristic, complemented
19#10607998C211yesmaximal, characteristic, complemented
20#10607874C211yesmaximal, characteristic, complemented
21#10607850C211yesmaximal, characteristic, complemented
22#10606338C211yesmaximal, characteristic
23#10606338C211yesmaximal, characteristic
24#10606317C211yesmaximal, characteristic, complemented
25#10606235C211yesmaximal, characteristic, complemented
26#10605736C211yesmaximal, characteristic
27#10605632C211yesmaximal, characteristic, complemented
28#10605298C211yesmaximal, characteristic
29#10605226C211yesmaximal, characteristic, complemented
30#10605088C211yesmaximal, characteristic, complemented
31C2×#64959C211yesmaximal, characteristic
32C2×C5×C22⋊Q8C2211yescharacteristic
33C2×C5×C22⋊Q8C2211yescharacteristic
34C2×#4092C2211yescharacteristic
35C2×#4092C2211yescharacteristic
36C2×#4090C2211yescharacteristic, complemented
37C22×#685C2211yescharacteristic
38C22×#685C2211yescharacteristic
39C22×#685C2211yescharacteristic
40C22×C4⋊Dic5C2211yescharacteristic
41C2×#4070C2211yescharacteristic
42C2×#4070C2211yescharacteristic
43C22×C4×Dic5C2211yescharacteristic
44C2×#4042C2211yescharacteristic
45C2×#4042C2211yescharacteristic
46C2×#4036C2211yescharacteristic, complemented
47C2×#4035C2211yescharacteristic, complemented
48C2×D5×C22⋊C4C2211yescharacteristic
49C2×D5×C22⋊C4C2211yescharacteristic
50C2×#4016C2211yescharacteristic, complemented
51C5×#398C2211yescharacteristic, complemented
52C5×#398C2211yescharacteristic, complemented
53C5×#395C2211yescharacteristic, complemented
54C5×#395C2211yescharacteristic, complemented
55C5×#391C2211yescharacteristic, complemented
56C5×#391C2211yescharacteristic, complemented
57C5×#389C2211yescharacteristic, complemented
58C5×#389C2211yescharacteristic, complemented
59C5×#385C2211yescharacteristic
60C5×#385C2211yescharacteristic
61C5×#380C2211yescharacteristic
62C4×C5×C22⋊C4C2211yescharacteristic
63C2×C5×#95C2211yescharacteristic
64#65520C2211yescharacteristic
65#65520C2211yescharacteristic
66#65519C2211yescharacteristic, complemented
67#65518C2211yescharacteristic, complemented
68#65518C2211yescharacteristic, complemented
69#65501C2211yescharacteristic
70#65499C2211yescharacteristic
71#65499C2211yescharacteristic
72C4×C22⋊Dic5C2211yescharacteristic
73C2×#3963C2211yescharacteristic
74#65283C2211yescharacteristic
75#65283C2211yescharacteristic
76#65283C2211yescharacteristic
77#65283C2211yescharacteristic
78#65283C2211yescharacteristic
79#65283C2211yescharacteristic
80#65281C2211yescharacteristic
81#65281C2211yescharacteristic
82#65281C2211yescharacteristic
83#65281C2211yescharacteristic
84#65278C2211yescharacteristic
85#65278C2211yescharacteristic
86#65278C2211yescharacteristic
87#65278C2211yescharacteristic
88#65278C2211yescharacteristic
89#65278C2211yescharacteristic
90#65278C2211yescharacteristic
91#65278C2211yescharacteristic
92#65278C2211yescharacteristic
93#65278C2211yescharacteristic
94#65276C2211yescharacteristic
95#65276C2211yescharacteristic
96#65274C2211yescharacteristic, complemented
97#65273C2211yescharacteristic, complemented
98#65272C2211yescharacteristic, complemented
99#65272C2211yescharacteristic, complemented
100#65272C2211yescharacteristic, complemented
101#65271C2211yescharacteristic, complemented
102#65270C2211yescharacteristic, complemented
103#65269C2211yescharacteristic, complemented
104#65269C2211yescharacteristic, complemented
105#65269C2211yescharacteristic, complemented
106#65268C2211yescharacteristic, complemented
107#65268C2211yescharacteristic, complemented
108#65267C2211yescharacteristic, complemented
109#65266C2211yescharacteristic, complemented
110#65265C2211yescharacteristic, complemented
111#65263C2211yescharacteristic, complemented
112#65262C2211yescharacteristic, complemented
113#65261C2211yescharacteristic, complemented
114#65261C2211yescharacteristic, complemented
115#65261C2211yescharacteristic, complemented
116#65261C2211yescharacteristic, complemented
117#65261C2211yescharacteristic, complemented
118#65244C2211yescharacteristic
119#65244C2211yescharacteristic
120#65239C2211yescharacteristic
121#65239C2211yescharacteristic
122#65235C2211yescharacteristic
123#65235C2211yescharacteristic
124#65231C2211yescharacteristic
125#65231C2211yescharacteristic
126#65231C2211yescharacteristic
127#65231C2211yescharacteristic
128#65231C2211yescharacteristic
129#65231C2211yescharacteristic
130#65231C2211yescharacteristic
131#65231C2211yescharacteristic
132#65229C2211yescharacteristic
133#65229C2211yescharacteristic
134#65229C2211yescharacteristic
135#65229C2211yescharacteristic
136#65225C2211yescharacteristic, complemented
137#65217C2211yescharacteristic, complemented
138#65217C2211yescharacteristic, complemented
139#64965C2211yescharacteristic
140#64965C2211yescharacteristic
141#64962C2211yescharacteristic
142#64962C2211yescharacteristic
143#64959C2211yescharacteristic
144#64959C2211yescharacteristic
145#64959C2211yescharacteristic
146#64959C2211yescharacteristic
147#64959C2211yescharacteristic
148#64959C2211yescharacteristic
149#64959C2211yescharacteristic
150#64959C2211yescharacteristic
151#64958C2211yescharacteristic
152#64958C2211yescharacteristic
153#64958C2211yescharacteristic
154#64958C2211yescharacteristic
155#64957C2211yescharacteristic
156#64957C2211yescharacteristic
157#64957C2211yescharacteristic
158#64957C2211yescharacteristic
159#64957C2211yescharacteristic
160#64957C2211yescharacteristic
161#64956C2211yescharacteristic
162#64956C2211yescharacteristic
163#64950C2211yescharacteristic, complemented
164#64950C2211yescharacteristic, complemented
165#64949C2211yescharacteristic, complemented
166#64949C2211yescharacteristic, complemented
167#64949C2211yescharacteristic, complemented
168#64949C2211yescharacteristic, complemented
169#64948C2211yescharacteristic, complemented
170#64947C2211yescharacteristic, complemented
171#64947C2211yescharacteristic, complemented
172#64946C2211yescharacteristic, complemented
173#64946C2211yescharacteristic, complemented
174#64946C2211yescharacteristic, complemented
175#64946C2211yescharacteristic, complemented
176#64946C2211yescharacteristic, complemented
177#64945C2211yescharacteristic, complemented
178#64945C2211yescharacteristic, complemented
179#64942C2211yescharacteristic, complemented
180#64941C2211yescharacteristic, complemented
181#64939C2211yescharacteristic, complemented
182#64936C2211yescharacteristic, complemented
183#64936C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64935C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36750—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C22×C5×Q8C2311yescharacteristic
190C22×C5×Q8C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C23×Dic5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C22×C4×D5C2311yescharacteristic
198C22×C4×D5C2311yescharacteristic
199C22×C4×D5C2311yescharacteristic
200C22×C4×D5C2311yescharacteristic
201C22×Dic10C2311yescharacteristic
202C22×Dic10C2311yescharacteristic
203C5×C22⋊Q8—42no—
204C5×C22⋊Q8—42no—
205C2×C5×C4⋊C4C2311yescharacteristic
206C2×C5×C4⋊C4C2311yescharacteristic
207C2×C5×C4⋊C4C2311yescharacteristic
208C2×C5×C4⋊C4C2311yescharacteristic
209C2×C5×C4⋊C4C2311yescharacteristic
210C2×C5×C4⋊C4C2311yescharacteristic
211C2×C5×C4⋊C4C2311yescharacteristic
212C2×C5×C4⋊C4C2311yescharacteristic
213C2×C5×C4⋊C4C2311yescharacteristic
214C2×C5×C4⋊C4C2311yescharacteristic
215C2×C5×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C22⋊C4C2311yescharacteristic
218C2×C5×C22⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4C2311yescharacteristic
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C42×C5C2311yescharacteristic
222C2×C42×C5C2311yescharacteristic
223C2×C22⋊Dic5C2311yescharacteristic
224C2×C22⋊Dic5C2311yescharacteristic
225C2×C22⋊Dic5C2311yescharacteristic
226C2×C22⋊Dic5C2311yescharacteristic
227#4092—42no—
228#4092—42no—
229#4090—42no—
230C2×#685—42no—
231C2×#685—42no—
232C2×#685Q818yescomplemented
233C2×#685C2311yescharacteristic
234C2×#685C2311yescharacteristic
235C2×#685C2311yescharacteristic
236C2×#685C2311yescharacteristic
237C2×#685C2311yescharacteristic
238C2×#685C2311yescharacteristic
239C2×#685C2311yescharacteristic
240C2×#685C2311yescharacteristic
241C2×#685C2311yescharacteristic
242C2×#685C2311yescharacteristic
243C2×#685C2311yescharacteristic
244C2×#685C2311yescharacteristic
245C2×#685C2311yescharacteristic
246C2×#685C2311yescharacteristic
247C2×#685C2311yescharacteristic
248C2×#685C2311yescharacteristic
249C2×#685C2311yescharacteristic
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×C4⋊Dic5—42no—
258C2×C4⋊Dic5C2311yescharacteristic
259C2×C4⋊Dic5C2311yescharacteristic
260C2×C4⋊Dic5C2311yescharacteristic
261C2×C4⋊Dic5C2311yescharacteristic
262C2×C4⋊Dic5C2311yescharacteristic
263C2×C4⋊Dic5C2311yescharacteristic
264C2×C4⋊Dic5C2311yescharacteristic
265C2×C4⋊Dic5C2311yescharacteristic
266C2×C4⋊Dic5C2311yescharacteristic
267C2×C4⋊Dic5C2311yescharacteristic
268C2×C4⋊Dic5C2311yescharacteristic
269C2×C4⋊Dic5C2311yescharacteristic
270#4070—42no—
271#4070—42no—
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×#683C2311yescharacteristic
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×#683C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×C4×Dic5—42no—
301C2×C4×Dic5C2311yescharacteristic
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2311yescharacteristic
305C2×C4×Dic5C2311yescharacteristic
306C2×C4×Dic5C2311yescharacteristic
307#4042—42no—
308#4042—42no—
309#4036—42no—
310#4035—42no—
311D5×C22⋊C4—42no—
312D5×C22⋊C4—42no—
313#4016—42no—
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318C5×#95C2311yescharacteristic
319C5×#95C2311yescharacteristic
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
324C5×#95C2311yescharacteristic
325C5×#95C2311yescharacteristic
326#3963C2311yescharacteristic
327#3963C2311yescharacteristic
328#3963C2311yescharacteristic
329#3963C2311yescharacteristic
330#3963C2311yescharacteristic
331#3963C2311yescharacteristic
332#3963C2311yescharacteristic
333#3963C2311yescharacteristic
334#3963C2311yescharacteristic
335#3963C2311yescharacteristic
336#3963C2311yescharacteristic
337#3963C2311yescharacteristic
338#3963C2311yescharacteristic
339#3963C2311yescharacteristic
340#3963C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
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#2857—51no—
363#2851—51no—
364#2807—51no—
365#2807—51no—
366#2788—51no—
367#2788—51no—
368#2768—51no—
369#2768—51no—
370#2763—51no—
371#2763—51no—
372#2729—51no—
373#2729—51no—
374#2720—51no—
375#2720—51no—
376#2704—51no—
377#2704—51no—
378#2704—51no—
379#2704—51no—
380#2659—51no—
381#2646—51no—
382#2549—51no—
383#2549D511yescharacteristic, complemented
384#2442—51no—
385#2442—51no—
386#2437—51no—
387#2437—51no—
388#2437—51no—
389#2437—51no—
390#2315—51no—
391#2312—51no—
392C2×#388—51no—
393C24×C5C2411yescharacteristic
394C23×D5—22no—
395C23×D5—22no—
396C23×D5—41no—
397C23×D5—41no—
398C23×D5—41no—
399C23×D5—41no—
400C23×D5C2×Q814yes—
401C23×D5C2411yescharacteristic
402C23×D5C2411yescharacteristic
403C2×C5×Q8—22no—
404C2×C5×Q8—41no—
405C2×C5×Q8—41no—
406C2×C5×Q8—41no—
407C2×C5×Q8—41no—
408C2×C5×Q8—41no—
409C22×C4×C5—22no—
410C22×C4×C5—22no—
411C22×C4×C5—22no—
412C22×C4×C5—41no—
413C22×C4×C5—41no—
414C22×C4×C5—41no—
415C22×C4×C5—41no—
416C22×C4×C5—41no—
417C22×C4×C5C2×Q814yes—
418C22×C4×C5C2411yescharacteristic
419C22×C4×C5C2411yescharacteristic
420C22×C4×C5C2411yescharacteristic
421C22×C4×C5C2411yescharacteristic
422C22×C4×C5C2411yescharacteristic
423C22×C4×C5C2411yescharacteristic
424C22×C4×C5C2411yescharacteristic
425C22×C4×C5C2411yescharacteristic
426C22×C4×C5C2411yescharacteristic
427C22×C4×C5C2411yescharacteristic
428C22×C4×C5C2411yescharacteristic
429C22×C4×C5C2411yescharacteristic
430C22×C4×C5C2411yescharacteristic
431C22×C4×C5C2411yescharacteristic
432C22×Dic5—22no—
433C22×Dic5—22no—
434C22×Dic5—22no—
435C22×Dic5—41no—
436C22×Dic5—41no—
437C22×Dic5—41no—
438C22×Dic5—41no—
439C22×Dic5—41no—
440C22×Dic5C2×Q814yes—
441C22×Dic5C2411yescharacteristic
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C22×Dic5C2411yescharacteristic
449C22×Dic5C2411yescharacteristic
450C22×Dic5C2411yescharacteristic
451C22×Dic5C2411yescharacteristic
452C22×Dic5C2411yescharacteristic
453C22×Dic5C2411yescharacteristic
454C22×Dic5C2411yescharacteristic
455C2×C4×D5—41no—
456C2×C4×D5—41no—
457C2×C4×D5—41no—
458C2×C4×D5—41no—
459C2×C4×D5—41no—
460C2×C4×D5—41no—
461C2×C4×D5—41no—
462C2×C4×D5—41no—
463C2×C4×D5—41no—
464C2×C4×D5—41no—
465C2×C4×D5—41no—
466C2×C4×D5—41no—
467C2×Dic10—22no—
468C2×Dic10—41no—
469C2×Dic10—41no—
470C2×Dic10—41no—
471C2×Dic10—41no—
472C2×Dic10—41no—
473C5×C4⋊C4—22no—
474C5×C4⋊C4—41no—
475C5×C4⋊C4—41no—
476C5×C4⋊C4—41no—
477C5×C4⋊C4—41no—
478C5×C4⋊C4—41no—
479C5×C4⋊C4—41no—
480C5×C4⋊C4—41no—
481C5×C4⋊C4—41no—
482C5×C4⋊C4—41no—
483C5×C4⋊C4—41no—
484C5×C4⋊C4—41no—
485C5×C22⋊C4—22no—
486C5×C22⋊C4—22no—
487C5×C22⋊C4—22no—
488C5×C22⋊C4—22no—
489C42×C5—41no—
490C42×C5—41no—
491C22⋊Dic5—22no—
492C22⋊Dic5—22no—
493C22⋊Dic5—22no—
494C22⋊Dic5—22no—
495#685—22no—
496#685—22no—
497#685—22no—
498#685—22no—
499#685—41no—
500#685—41no—
501#685—41no—
502#685—41no—
503#685—41no—
504#685—41no—
505#685—41no—
506#685—41no—
507#685—41no—
508#685—41no—
509#685—41no—
510#685—41no—
511#685—41no—
512#685—41no—
513#685—41no—
514#685—41no—
515#685C2×Q814yes—
516#685C2×Q814yes—
517#685C2×Q814yes—
518#685C2×Q814yes—
519C4⋊Dic5—22no—
520C4⋊Dic5—22no—
521C4⋊Dic5—22no—
522C4⋊Dic5—41no—
523C4⋊Dic5—41no—
524C4⋊Dic5—41no—
525C4⋊Dic5—41no—
526C4⋊Dic5—41no—
527C4⋊Dic5—41no—
528C4⋊Dic5—41no—
529C4⋊Dic5—41no—
530C4⋊Dic5—41no—
531#683—22no—
532#683—22no—
533#683—22no—
534#683—22no—
535#683—41no—
536#683—41no—
537#683—41no—
538#683—41no—
539#683—41no—
540#683—41no—
541#683—41no—
542#683—41no—
543#683—41no—
544#683—41no—
545#683—41no—
546#683—41no—
547#683—41no—
548#683—41no—
549#683—41no—
550#683—41no—
551#683—41no—
552#683—41no—
553#683—41no—
554#683—41no—
555#683—41no—
556#683—41no—
557#683—41no—
558#683—41no—
559C4×Dic5—22no—
560C4×Dic5—22no—
561C4×Dic5—41no—
562C4×Dic5—41no—
563C4×Dic5—41no—
564C4×Dic5—41no—
565C2×C4⋊Q8—51no—
566C2×#125—51no—
567C2×#125—51no—
568C2×#125—51no—
569C2×C22⋊Q8—51no—
570C2×C22⋊Q8—51no—
571C2×C22⋊Q8—51no—
572C2×C22⋊Q8—51no—
573C2×C22⋊Q8—51no—
574C2×C22⋊Q8—51no—
575C2×C22⋊Q8C2×D511yescharacteristic
576C2×C22⋊Q8C2×D511yescharacteristic
577C22×C4⋊C4—51no—
578C22×C22⋊C4—51no—
579C22×C22⋊C4—51no—
580C22×C22⋊C4—51no—
581C22×C22⋊C4—51no—
582C22×C22⋊C4—51no—
583C22×C42—51no—
584#400—51no—
585#400—51no—
586#400—51no—
587#400—51no—
588#400—51no—
589#400—51no—
590#400—51no—
591#400—51no—
592#399—51no—
593#399—51no—
594#399—51no—
595#399—51no—
596#398—51no—
597#398—51no—
598#398—51no—
599#398—51no—
600#398—51no—
601#398—51no—
602#398—51no—
603#398—51no—
604#398—51no—
605#398—51no—
606#398—51no—
607#398—51no—
608#398—51no—
609#398—51no—
610#398C2×D511yescharacteristic, complemented
611#398C2×D511yescharacteristic, complemented
612#396—51no—
613#396—51no—
614#396—51no—
615#396—51no—
616#396—51no—
617#396—51no—
618#396—51no—
619#396—51no—
620#395—51no—
621#395—51no—
622#395—51no—
623#395—51no—
624#395—51no—
625#395—51no—
626#395C2×D511yescharacteristic, complemented
627#395C2×D511yescharacteristic, complemented
628#393—51no—
629#393—51no—
630#393—51no—
631#393—51no—
632#391—51no—
633#391—51no—
634#391—51no—
635#391—51no—
636#391C2×D511yescharacteristic, complemented
637#391C2×D511yescharacteristic, complemented
638#389—51no—
639#389—51no—
640#389—51no—
641#389—51no—
642#389—51no—
643#389—51no—
644#389—51no—
645#389—51no—
646#389—51no—
647#389—51no—
648#389—51no—
649#389—51no—
650#389C2×D511yescharacteristic, complemented
651#389C2×D511yescharacteristic, complemented
652#388—51no—
653#388—51no—
654#388—51no—
655#388—51no—
656#388—51no—
657#388—51no—
658#388—51no—
659#388—51no—
660#388—51no—
661#388—51no—
662#388—51no—
663#388—51no—
664#388—51no—
665#388—51no—
666#388—51no—
667#388—51no—
668#387—51no—
669#387—51no—
670#387—51no—
671#387—51no—
672#385—51no—
673#385—51no—
674#385—51no—
675#385—51no—
676#385—51no—
677#385—51no—
678#385—51no—
679#385—51no—
680#385—51no—
681#385—51no—
682#385—51no—
683#385—51no—
684#385—51no—
685#385—51no—
686#385—51no—
687#385—51no—
688#385—51no—
689#385—51no—
690#385—51no—
691#385—51no—
692#385—51no—
693#385—51no—
694#385C2×D511yescharacteristic
695#385C2×D511yescharacteristic
696#384—51no—
697#382—51no—
698#382—51no—
699#382—51no—
700#380—51no—
701#380—51no—
702#380—51no—
703#380—51no—
704#380—51no—
705#380—51no—
706#380—51no—
707#380—51no—
708#380—51no—
709#380—51no—
710#380—51no—
711#380—51no—
712#380—51no—
713#380C2×D511yescharacteristic
714#379—51no—
715#379—51no—
716C4×C22⋊C4—51no—
717C4×C22⋊C4C2×D511yescharacteristic
718C2×#95—51no—
719C2×#95C2×D511yescharacteristic
720C23×C5—21no—
721C23×C5—21no—
722C23×C5—21no—
723C23×C5—21no—
724C23×C5C22×Q812yes—
725C23×C5H(5,𝔽2)12yes—
726C23×C52−1+412yes—
727C23×C5C2511yescharacteristic
728C22×D5—21no—
729C22×D5—21no—
730C22×D5—21no—
731C22×D5—21no—
732C22×D5—21no—
733C22×D5—21no—
734C22×D5—21no—
735C22×D5—21no—
736C22×D5—21no—
737C22×D5—21no—
738C22×D5—21no—
739C22×D5—21no—
740C22×D5—28no—
741C22×D5—44no—
742C22×D5—44no—
743C22×D5—82no—
744C22×D5—82no—
745C22×D5—82no—
746C22×D5—82no—
747C22×D5C22×Q812yes—
748C22×D5C22×Q812yes—
749C5×Q8—82no—
750C5×Q8—82no—
751C2×C4×C5—21no—
752C2×C4×C5—21no—
753C2×C4×C5—21no—
754C2×C4×C5—21no—
755C2×C4×C5—21no—
756C2×C4×C5—21no—
757C2×C4×C5—21no—
758C2×C4×C5—21no—
759C2×C4×C5—21no—
760C2×C4×C5—21no—
761C2×C4×C5—21no—
762C2×C4×C5—21no—
763C2×C4×C5—21no—
764C2×C4×C5—21no—
765C2×C4×C5—21no—
766C2×C4×C5—21no—
767C2×C4×C5—21no—
768C2×C4×C5—21no—
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—44no—
791C2×C4×C5—44no—
792C2×C4×C5—82no—
793C2×C4×C5C22×Q812yes—
794C2×C4×C5C22×Q812yes—
795C2×C4×C5H(5,𝔽2)12yes—
796C2×Dic5—21no—
797C2×Dic5—21no—
798C2×Dic5—21no—
799C2×Dic5—21no—
800C2×Dic5—21no—
801C2×Dic5—21no—
802C2×Dic5—21no—
803C2×Dic5—21no—
804C2×Dic5—21no—
805C2×Dic5—21no—
806C2×Dic5—21no—
807C2×Dic5—21no—
808C2×Dic5—21no—
809C2×Dic5—21no—
810C2×Dic5—21no—
811C2×Dic5—21no—
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—21no—
827C2×Dic5—21no—
828C2×Dic5—21no—
829C2×Dic5—21no—
830C2×Dic5—21no—
831C2×Dic5—21no—
832C2×Dic5—21no—
833C2×Dic5—21no—
834C2×Dic5—21no—
835C2×Dic5—44no—
836C2×Dic5—44no—
837C2×Dic5—82no—
838C2×Dic5C22×Q812yes—
839C2×Dic5C22×Q812yes—
840C2×Dic5H(5,𝔽2)12yes—
841C4×D5—82no—
842C4×D5—82no—
843C4×D5—82no—
844C4×D5—82no—
845Dic10—82no—
846Dic10—82no—
847C25—51no—
848C22×Q8—51no—
849C22×Q8—51no—
850C22×Q8C22×D511yescharacteristic
851C22×Q8C22×D511yescharacteristic
852C23×C4—51no—
853C23×C4—51no—
854C23×C4—51no—
855C23×C4—51no—
856C23×C4—51no—
857C23×C4—51no—
858C23×C4—51no—
859C23×C4C22×D511yescharacteristic
860C23×C4C22×D511yescharacteristic
861C23×C4C22×D511yescharacteristic
862C4⋊Q8—202no—
863#125—202no—
864#125—202no—
865#125—202no—
866C22⋊Q8—42no—
867C22⋊Q8—42no—
868C22⋊Q8—202no—
869C22⋊Q8—202no—
870C22⋊Q8—202no—
871C22⋊Q8—202no—
872C22⋊Q8—202no—
873C22⋊Q8—202no—
874C2×C4⋊C4—51no—
875C2×C4⋊C4—51no—
876C2×C4⋊C4—51no—
877C2×C4⋊C4—51no—
878C2×C4⋊C4—51no—
879C2×C4⋊C4—51no—
880C2×C4⋊C4—51no—
881C2×C4⋊C4—51no—
882C2×C4⋊C4—51no—
883C2×C4⋊C4—51no—
884C2×C4⋊C4—51no—
885C2×C4⋊C4—51no—
886C2×C4⋊C4—51no—
887C2×C4⋊C4—51no—
888C2×C4⋊C4—51no—
889C2×C4⋊C4—51no—
890C2×C4⋊C4—51no—
891C2×C4⋊C4—51no—
892C2×C4⋊C4—51no—
893C2×C4⋊C4—51no—
894C2×C4⋊C4—51no—
895C2×C4⋊C4—51no—
896C2×C4⋊C4—51no—
897C2×C4⋊C4—51no—
898C2×C4⋊C4—51no—
899C2×C4⋊C4—51no—
900C2×C4⋊C4—51no—
901C2×C4⋊C4—51no—
902C2×C4⋊C4—51no—
903C2×C4⋊C4—51no—
904C2×C4⋊C4—51no—
905C2×C4⋊C4—51no—
906C2×C4⋊C4—51no—
907C2×C4⋊C4—51no—
908C2×C4⋊C4—51no—
909C2×C4⋊C4—51no—
910C2×C4⋊C4—51no—
911C2×C4⋊C4—51no—
912C2×C4⋊C4—51no—
913C2×C4⋊C4—51no—
914C2×C4⋊C4—202no—
915C2×C4⋊C4C22×D511yescharacteristic
916C2×C4⋊C4C22×D511yescharacteristic
917C2×C4⋊C4C22×D511yescharacteristic
918C2×C4⋊C4C22×D511yescharacteristic
919C2×C4⋊C4C22×D511yescharacteristic
920C2×C4⋊C4C22×D511yescharacteristic
921C2×C4⋊C4C22×D511yescharacteristic
922C2×C4⋊C4C22×D511yescharacteristic
923C2×C4⋊C4C22×D511yescharacteristic
924C2×C4⋊C4C22×D511yescharacteristic
925C2×C4⋊C4C22×D511yescharacteristic
926C2×C4⋊C4C22×D511yescharacteristic
927C2×C22⋊C4—58no—
928C2×C22⋊C4—51no—
929C2×C22⋊C4—51no—
930C2×C22⋊C4—51no—
931C2×C22⋊C4—51no—
932C2×C22⋊C4—51no—
933C2×C22⋊C4—51no—
934C2×C22⋊C4—51no—
935C2×C22⋊C4—51no—
936C2×C22⋊C4—51no—
937C2×C22⋊C4—51no—
938C2×C22⋊C4—51no—
939C2×C22⋊C4—51no—
940C2×C22⋊C4—51no—
941C2×C22⋊C4—51no—
942C2×C22⋊C4—51no—
943C2×C22⋊C4—51no—
944C2×C22⋊C4—51no—
945C2×C22⋊C4—51no—
946C2×C22⋊C4—51no—
947C2×C22⋊C4—51no—
948C2×C22⋊C4—51no—
949C2×C22⋊C4—51no—
950C2×C22⋊C4—51no—
951C2×C22⋊C4—51no—
952C2×C22⋊C4—51no—
953C2×C22⋊C4—51no—
954C2×C22⋊C4—51no—
955C2×C22⋊C4—51no—
956C2×C22⋊C4—202no—
957C2×C22⋊C4—202no—
958C2×C22⋊C4—202no—
959C2×C22⋊C4—202no—
960C2×C22⋊C4C22×D511yescharacteristic
961C2×C22⋊C4C22×D511yescharacteristic
962C2×C22⋊C4C22×D511yescharacteristic
963C2×C22⋊C4C22×D511yescharacteristic
964C2×C42—51no—
965C2×C42—51no—
966C2×C42—51no—
967C2×C42—51no—
968C2×C42—51no—
969C2×C42—51no—
970C2×C42—202no—
971C2×C42C22×D511yescharacteristic
972C2×C42C22×D511yescharacteristic
973#95—51no—
974#95—51no—
975#95—51no—
976#95—51no—
977#95—51no—
978#95—51no—
979#95—51no—
980#95—51no—
981#95—51no—
982#95—51no—
983#95—51no—
984#95—51no—
985#95—51no—
986#95—51no—
987#95—51no—
988#95—51no—
989#95—51no—
990#95—51no—
991#95—51no—
992#95—51no—
993#95—51no—
994#95—51no—
995#95—51no—
996#95—51no—
997#95—51no—
998#95—51no—
999#95—51no—
1000#95—51no—
1001#95—51no—
1002#95—51no—
1003#95—51no—
1004#95—51no—
1005#95—51no—
1006#95—51no—
1007#95—51no—
1008#95—51no—
1009#95C22×D511yescharacteristic
1010#95C22×D511yescharacteristic
1011#95C22×D511yescharacteristic
1012#95C22×D511yescharacteristic
1013#95C22×D511yescharacteristic
1014#95C22×D511yescharacteristic
1015#95C22×D511yescharacteristic
1016#95C22×D511yescharacteristic
1017#95C22×D511yescharacteristic
1018#95C22×D511yescharacteristic
1019#95C22×D511yescharacteristic
1020#95C22×D511yescharacteristic
1021C22×C5—22no—
1022C22×C5—22no—
1023C22×C5—22no—
1024C22×C5—22no—
1025C22×C5—22no—
1026C22×C5—22no—
1027C22×C5#54414yes—
1028C22×C5C23×Q811yescharacteristic
1029C22×C5C2×H(5,𝔽2)11yescharacteristic
1030C22×C5C2×H(5,𝔽2)11yescharacteristic
1031C22×C5C2×H(5,𝔽2)11yescharacteristic
1032C22×C5C2×2−1+411yescharacteristic
1033C22×C5#58511yescharacteristic
1034C22×C5#58511yescharacteristic
1035C2×D5—22no—
1036C2×D5—22no—
1037C2×D5—22no—
1038C2×D5—22no—
1039C2×D5—22no—
1040C2×D5—22no—
1041C2×D5—41no—
1042C2×D5—41no—
1043C2×D5—41no—
1044C2×D5—41no—
1045C2×D5—41no—
1046C2×D5—41no—
1047C2×D5—41no—
1048C2×D5—41no—
1049C2×D5—88no—
1050C4×C5—22no—
1051C4×C5—22no—
1052C4×C5—22no—
1053C4×C5—41no—
1054C4×C5—41no—
1055C4×C5—41no—
1056C4×C5—41no—
1057C4×C5—41no—
1058C4×C5—41no—
1059C4×C5—41no—
1060C4×C5—41no—
1061C4×C5—41no—
1062C4×C5—41no—
1063C4×C5—41no—
1064Dic5—22no—
1065Dic5—22no—
1066Dic5—22no—
1067Dic5—41no—
1068Dic5—41no—
1069Dic5—41no—
1070Dic5—41no—
1071Dic5—41no—
1072Dic5—41no—
1073Dic5—41no—
1074Dic5—41no—
1075Dic5—41no—
1076Dic5—41no—
1077Dic5—41no—
1078C24—51no—
1079C24—51no—
1080C24—54no—
1081C24—102no—
1082C24—102no—
1083C24—201no—
1084C24—201no—
1085C24—201no—
1086C24—201no—
1087C24C23×D511yescharacteristic
1088C2×Q8—22no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—41no—
1092C2×Q8—41no—
1093C2×Q8—41no—
1094C2×Q8—102no—
1095C2×Q8—201no—
1096C2×Q8—201no—
1097C2×Q8—201no—
1098C2×Q8—201no—
1099C2×Q8—201no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—51no—
1109C22×C4—51no—
1110C22×C4—51no—
1111C22×C4—54no—
1112C22×C4—51no—
1113C22×C4—51no—
1114C22×C4—51no—
1115C22×C4—51no—
1116C22×C4—51no—
1117C22×C4—51no—
1118C22×C4—51no—
1119C22×C4—51no—
1120C22×C4—51no—
1121C22×C4—51no—
1122C22×C4—51no—
1123C22×C4—102no—
1124C22×C4—102no—
1125C22×C4—102no—
1126C22×C4—201no—
1127C22×C4—201no—
1128C22×C4—201no—
1129C22×C4—201no—
1130C22×C4—201no—
1131C22×C4—201no—
1132C22×C4—201no—
1133C22×C4—201no—
1134C22×C4—201no—
1135C22×C4—201no—
1136C22×C4—201no—
1137C22×C4—201no—
1138C22×C4—201no—
1139C22×C4—201no—
1140C22×C4—201no—
1141C22×C4—201no—
1142C22×C4—201no—
1143C22×C4Q8×D514yes—
1144C22×C4C23×D511yescharacteristic
1145C22×C4C23×D511yescharacteristic
1146C22×C4C23×D511yescharacteristic
1147C22×C4C23×D511yescharacteristic
1148C22×C4C23×D511yescharacteristic
1149C22×C4C23×D511yescharacteristic
1150C22×C4C23×D511yescharacteristic
1151C22×C4C23×D511yescharacteristic
1152C22×C4C23×D511yescharacteristic
1153C22×C4C23×D511yescharacteristic
1154C22×C4C23×D511yescharacteristic
1155C22×C4C23×D511yescharacteristic
1156C22×C4C23×D511yescharacteristic
1157C22×C4C23×D511yescharacteristic
1158C4⋊C4—22no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—102no—
1171C4⋊C4—102no—
1172C4⋊C4—102no—
1173C4⋊C4—102no—
1174C4⋊C4—102no—
1175C4⋊C4—102no—
1176C4⋊C4—102no—
1177C4⋊C4—201no—
1178C4⋊C4—201no—
1179C4⋊C4—201no—
1180C4⋊C4—201no—
1181C4⋊C4—201no—
1182C4⋊C4—201no—
1183C4⋊C4—201no—
1184C4⋊C4—201no—
1185C4⋊C4—201no—
1186C4⋊C4—201no—
1187C4⋊C4—201no—
1188C4⋊C4—201no—
1189C4⋊C4—201no—
1190C4⋊C4—201no—
1191C4⋊C4—201no—
1192C4⋊C4—201no—
1193C4⋊C4—201no—
1194C4⋊C4—201no—
1195C4⋊C4—201no—
1196C4⋊C4—201no—
1197C4⋊C4—201no—
1198C4⋊C4—201no—
1199C4⋊C4—201no—
1200C4⋊C4—201no—
1201C4⋊C4—201no—
1202C4⋊C4—201no—
1203C4⋊C4—201no—
1204C4⋊C4—201no—
1205C4⋊C4—201no—
1206C4⋊C4—201no—
1207C4⋊C4—201no—
1208C4⋊C4—201no—
1209C4⋊C4—201no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—54no—
1215C22⋊C4—54no—
1216C22⋊C4—54no—
1217C22⋊C4—54no—
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—201no—
1227C22⋊C4—201no—
1228C22⋊C4—201no—
1229C22⋊C4—201no—
1230C22⋊C4—201no—
1231C22⋊C4—201no—
1232C22⋊C4—201no—
1233C22⋊C4—201no—
1234C22⋊C4—201no—
1235C22⋊C4—201no—
1236C22⋊C4—201no—
1237C22⋊C4—201no—
1238C22⋊C4—201no—
1239C22⋊C4—201no—
1240C22⋊C4—201no—
1241C22⋊C4—201no—
1242C42—41no—
1243C42—41no—
1244C42—102no—
1245C42—102no—
1246C42—201no—
1247C42—201no—
1248C42—201no—
1249C42—201no—
1250C2×C5—24no—
1251C2×C5C2×#54411yescharacteristic
1252C2×C5#350111yescharacteristic
1253C2×C5#350111yescharacteristic
1254C2×C5#353411yescharacteristic
1255C2×C5#353611yescharacteristic
1256C2×C5#355811yescharacteristic
1257C2×C5#356411yescharacteristic
1258D5—42no—
1259D5—42no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—52no—
1265C23—52no—
1266C23—101no—
1267C23—101no—
1268C23—101no—
1269C23—101no—
1270C23—101no—
1271C23—101no—
1272C23—101no—
1273C23—101no—
1274C23—101no—
1275C23—101no—
1276C23—101no—
1277C23—101no—
1278C23—108no—
1279C23—204no—
1280C23—204no—
1281C23—402no—
1282C23—402no—
1283C23—402no—
1284C23—402no—
1285C23#414412yes—
1286C23C2×Q8×D512yes—
1287C23#414712yes—
1288C23C24×D511yescharacteristic
1289Q8—82no—
1290Q8—82no—
1291Q8—402no—
1292Q8—402no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—44no—
1333C2×C4—44no—
1334C2×C4—52no—
1335C2×C4—52no—
1336C2×C4—52no—
1337C2×C4—82no—
1338C2×C4—101no—
1339C2×C4—101no—
1340C2×C4—101no—
1341C2×C4—101no—
1342C2×C4—101no—
1343C2×C4—101no—
1344C2×C4—101no—
1345C2×C4—101no—
1346C2×C4—101no—
1347C2×C4—101no—
1348C2×C4—101no—
1349C2×C4—101no—
1350C2×C4—101no—
1351C2×C4—101no—
1352C2×C4—101no—
1353C2×C4—101no—
1354C2×C4—101no—
1355C2×C4—101no—
1356C2×C4—101no—
1357C2×C4—101no—
1358C2×C4—101no—
1359C2×C4—101no—
1360C2×C4—101no—
1361C2×C4—101no—
1362C2×C4—101no—
1363C2×C4—101no—
1364C2×C4—101no—
1365C2×C4—101no—
1366C2×C4—101no—
1367C2×C4—101no—
1368C2×C4—101no—
1369C2×C4—101no—
1370C2×C4—101no—
1371C2×C4—101no—
1372C2×C4—101no—
1373C2×C4—101no—
1374C2×C4—101no—
1375C2×C4—101no—
1376C2×C4—101no—
1377C2×C4—204no—
1378C2×C4—204no—
1379C2×C4—402no—
1380C2×C4—402no—
1381C2×C4—402no—
1382C2×C4—402no—
1383C2×C4—402no—
1384C2×C4C2×Q8×D512yes—
1385C2×C4C2×Q8×D512yes—
1386C2×C4#414912yes—
1387C5#3675011yescharacteristic, complemented, Sylow
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—102no—
1395C22—102no—
1396C22—102no—
1397C22—102no—
1398C22—102no—
1399C22—102no—
1400C22—201no—
1401C22—201no—
1402C22—201no—
1403C22—201no—
1404C22—201no—
1405C22—201no—
1406C22—201no—
1407C22—201no—
1408C22—408no—
1409C22#6606314yes—
1410C22C2×#414411yescharacteristic
1411C22C22×Q8×D511yescharacteristic
1412C22C2×#414711yescharacteristic
1413C22C2×#414911yescharacteristic
1414C22#6628311yescharacteristic
1415C22D5×H(5,𝔽2)11yescharacteristic
1416C22#6628511yescharacteristic
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—102no—
1432C4—102no—
1433C4—102no—
1434C4—201no—
1435C4—201no—
1436C4—201no—
1437C4—201no—
1438C4—201no—
1439C4—201no—
1440C4—201no—
1441C4—201no—
1442C4—201no—
1443C4—201no—
1444C4—201no—
1445C2—24no—
1446C2—202no—
1447C2—202no—
1448C2C2×#6606311yescharacteristic
1449C2#1061818111yescharacteristic
1450C2#1061847511yescharacteristic
1451C2#1061854511yescharacteristic
1452C2#1061855611yescharacteristic
1453C2#1061884511yescharacteristic
1454C2#1061885311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2549C2
prime radicalC24×D5C23
hypercenter#2549D5
hypocenterC5#36750
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2549

Complements

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

NH ≅ G/Ntype
1. C5×#2549C2semidirect
4. #10614542C2semidirect
5. #10614520C2semidirect
6. #10609735C2semidirect
7. #10609712C2semidirect
8. #10609654C2semidirect
9. #10609619C2semidirect
10. #10608960C2semidirect
11. #10608954C2semidirect
12. #10608951C2semidirect
13. #10608947C2semidirect
14. #10608386C2semidirect
15. #10608321C2semidirect
16. #10608317C2semidirect
17. #10608297C2semidirect
18. #10608012C2semidirect
19. #10607998C2semidirect
20. #10607874C2semidirect
21. #10607850C2semidirect
24. #10606317C2semidirect
25. #10606235C2semidirect
27. #10605632C2semidirect
29. #10605226C2semidirect
30. #10605088C2semidirect
36. C2×#4090C22semidirect
46. C2×#4036C22semidirect
47. C2×#4035C22semidirect
50. C2×#4016C22semidirect
51. C5×#398C22semidirect
52. C5×#398C22semidirect
53. C5×#395C22semidirect
54. C5×#395C22semidirect
55. C5×#391C22semidirect
56. C5×#391C22semidirect
57. C5×#389C22semidirect
58. C5×#389C22semidirect
66. #65519C22semidirect
67. #65518C22semidirect
68. #65518C22semidirect
96. #65274C22semidirect
97. #65273C22semidirect
98. #65272C22semidirect
99. #65272C22semidirect
100. #65272C22semidirect
101. #65271C22semidirect
102. #65270C22semidirect
103. #65269C22semidirect
104. #65269C22semidirect
105. #65269C22semidirect
106. #65268C22semidirect
107. #65268C22semidirect
108. #65267C22semidirect
109. #65266C22semidirect
110. #65265C22semidirect
111. #65263C22semidirect
112. #65262C22semidirect
113. #65261C22semidirect
114. #65261C22semidirect
115. #65261C22semidirect
116. #65261C22semidirect
117. #65261C22semidirect
136. #65225C22semidirect
137. #65217C22semidirect
138. #65217C22semidirect
163. #64950C22semidirect
164. #64950C22semidirect
165. #64949C22semidirect
166. #64949C22semidirect
167. #64949C22semidirect
168. #64949C22semidirect
169. #64948C22semidirect
170. #64947C22semidirect
171. #64947C22semidirect
172. #64946C22semidirect
173. #64946C22semidirect
174. #64946C22semidirect
175. #64946C22semidirect
176. #64946C22semidirect
177. #64945C22semidirect
178. #64945C22semidirect
179. #64942C22semidirect
180. #64941C22semidirect
181. #64939C22semidirect
182. #64936C22semidirect
183. #64936C22semidirect
184. #64936C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
232. C2×#685Q8semidirect
383. #2549D5semidirect
610. #398C2×D5semidirect
611. #398C2×D5semidirect
626. #395C2×D5semidirect
627. #395C2×D5semidirect
636. #391C2×D5semidirect
637. #391C2×D5semidirect
650. #389C2×D5semidirect
651. #389C2×D5semidirect
1387. C5#36750semidirect

Maximal subgroups

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

subgroupindex
C5×#25492
#106145472
#106145422
#106145202
#106097352
#106097122
#106096542
#106096192
#106089602
#106089542
#106089512
#106089472
#106083862
#106083212
#106083172
#106082972
#106080122
#106079982
#106078742
#106078502
#106063382
#106063172
#106062352
#106057362
#106056322
#106052982
#106052262
#106050882
C2×#649592
#367505