Finite Group Databasebeta

← #12306752

Subgroups — #12306752

Order 1280.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1482 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66063C211yesmaximal, characteristic, complemented
2C2×#65994C211yesmaximal, characteristic
3C5×#2674C211yesmaximal, characteristic, complemented
4#10614978C211yesmaximal, characteristic, complemented
5#10614739C211yesmaximal, characteristic
6#10614713C211yesmaximal, characteristic, complemented
7#10614607C211yesmaximal, characteristic, complemented
8#10614522C211yesmaximal, characteristic, complemented
9#10614483C211yesmaximal, characteristic, complemented
10#10609837C211yesmaximal, characteristic, complemented
11#10609792C211yesmaximal, characteristic, complemented
12#10609410C211yesmaximal, characteristic, complemented
13#10609319C211yesmaximal, characteristic, complemented
14#10609095C211yesmaximal, characteristic, complemented
15#10609016C211yesmaximal, characteristic, complemented
16#10608989C211yesmaximal, characteristic, complemented
17#10608949C211yesmaximal, characteristic, complemented
18#10608857C211yesmaximal, characteristic
19#10608746C211yesmaximal, characteristic, complemented
20#10608600C211yesmaximal, characteristic, complemented
21#10608561C211yesmaximal, characteristic, complemented
22#10608019C211yesmaximal, characteristic, complemented
23#10607849C211yesmaximal, characteristic, complemented
24#10607600C211yesmaximal, characteristic, complemented
25#10607600C211yesmaximal, characteristic, complemented
26#10607431C211yesmaximal, characteristic, complemented
27#10607403C211yesmaximal, characteristic, complemented
28D5×#387C211yesmaximal, characteristic, complemented
29#10606897C211yesmaximal, characteristic, complemented
30#10606346C211yesmaximal, characteristic, complemented
31#10606245C211yesmaximal, characteristic, complemented
32C2×C5×C4⋊Q8C2211yescharacteristic
33C2×C5×#124C2211yescharacteristic
34C2×C5×#123C2211yescharacteristic
35C2×C5×C22⋊Q8C2211yescharacteristic
36C2×#4092C2211yescharacteristic
37C2×#4092C2211yescharacteristic
38C2×#4090C2211yescharacteristic
39C2×#4090C2211yescharacteristic
40C2×#4084C2211yescharacteristic
41C2×#4081C2211yescharacteristic
42C2×C4×C22⋊D5C2211yescharacteristic
43C2×#4070C2211yescharacteristic
44#66063—28no—
45#65994—28no—
46C2×#4042C2211yescharacteristic
47C2×#4042C2211yescharacteristic
48C2×#4042C2211yescharacteristic
49C2×#4038C2211yescharacteristic
50C2×D5×C4⋊C4C2211yescharacteristic
51C2×D5×C4⋊C4C2211yescharacteristic
52C2×#4036C2211yescharacteristic
53C2×#4036C2211yescharacteristic
54C2×#4035C2211yescharacteristic
55C2×#4035C2211yescharacteristic
56C2×#4035C2211yescharacteristic
57C2×#4034C2211yescharacteristic
58C2×#4034C2211yescharacteristic
59C2×#4029C2211yescharacteristic
60C2×#4029C2211yescharacteristic
61C2×#4027C2211yescharacteristic
62C2×#4025C2211yescharacteristic
63C2×#4025C2211yescharacteristic
64C2×#4024C2211yescharacteristic
65C2×#4024C2211yescharacteristic
66C2×#4018C2211yescharacteristic
67C2×C42×D5C2211yescharacteristic
68C2×#4016C2211yescharacteristic
69C5×#399C2211yescharacteristic
70C5×#397C2211yescharacteristic
71C5×#396C2211yescharacteristic
72C5×#395C2211yescharacteristic
73C5×#394C2211yescharacteristic
74C5×#393C2211yescharacteristic
75C5×#389C2211yescharacteristic
76C5×#388C2211yescharacteristic
77C5×#388C2211yescharacteristic
78C5×#387C2211yescharacteristic
79C5×#385C2211yescharacteristic
80#65519C2211yescharacteristic
81#65519C2211yescharacteristic
82#65518C2211yescharacteristic
83#65518C2211yescharacteristic
84#65511C2211yescharacteristic
85#65510C2211yescharacteristic
86#65501C2211yescharacteristic
87#65499C2211yescharacteristic
88#65276C2211yescharacteristic
89#65276C2211yescharacteristic
90#65276C2211yescharacteristic
91#65276C2211yescharacteristic
92#65275C2211yescharacteristic
93#65274C2211yescharacteristic
94#65273C2211yescharacteristic
95#65273C2211yescharacteristic
96#65273C2211yescharacteristic
97#65272C2211yescharacteristic
98#65272C2211yescharacteristic
99#65271C2211yescharacteristic
100#65270C2211yescharacteristic
101#65270C2211yescharacteristic
102#65270C2211yescharacteristic
103#65269C2211yescharacteristic
104#65269C2211yescharacteristic
105#65269C2211yescharacteristic
106#65268C2211yescharacteristic
107#65268C2211yescharacteristic
108#65268C2211yescharacteristic
109#65267C2211yescharacteristic
110#65267C2211yescharacteristic
111#65265C2211yescharacteristic
112#65261C2211yescharacteristic
113#65261C2211yescharacteristic
114#65261C2211yescharacteristic
115#65245C2211yescharacteristic
116#65245C2211yescharacteristic
117#65245C2211yescharacteristic
118#65245C2211yescharacteristic
119#65245C2211yescharacteristic
120#65245C2211yescharacteristic
121#65245C2211yescharacteristic
122#65245C2211yescharacteristic
123#65242C2211yescharacteristic
124#65241C2211yescharacteristic
125#65241C2211yescharacteristic
126#65241C2211yescharacteristic
127#65241C2211yescharacteristic
128#65240C2211yescharacteristic
129#65240C2211yescharacteristic
130#65238C2211yescharacteristic
131#65238C2211yescharacteristic
132#65238C2211yescharacteristic
133#65238C2211yescharacteristic
134#65238C2211yescharacteristic
135#65237C2211yescharacteristic
136#65237C2211yescharacteristic
137#65237C2211yescharacteristic
138#65236C2211yescharacteristic
139#65236C2211yescharacteristic
140#65236C2211yescharacteristic
141#65235C2211yescharacteristic
142#65235C2211yescharacteristic
143#65234C2211yescharacteristic
144#65234C2211yescharacteristic
145#65233C2211yescharacteristic
146#65233C2211yescharacteristic
147#65233C2211yescharacteristic
148#65233C2211yescharacteristic
149#65233C2211yescharacteristic
150#65233C2211yescharacteristic
151#65231C2211yescharacteristic
152#65225C2211yescharacteristic
153#65222C2211yescharacteristic
154#65222C2211yescharacteristic
155#65222C2211yescharacteristic
156#65217C2211yescharacteristic
157#64956C2211yescharacteristic
158#64956C2211yescharacteristic
159#64956C2211yescharacteristic
160#64956C2211yescharacteristic
161D5×#95C2211yescharacteristic
162D5×#95C2211yescharacteristic
163D5×#95C2211yescharacteristic
164D5×#95C2211yescharacteristic
165#64950C2211yescharacteristic
166#64950C2211yescharacteristic
167#64949C2211yescharacteristic
168#64949C2211yescharacteristic
169#64948C2211yescharacteristic
170#64948C2211yescharacteristic
171#64948C2211yescharacteristic
172#64947C2211yescharacteristic
173#64946C2211yescharacteristic
174#64946C2211yescharacteristic
175#64944C2211yescharacteristic
176#64944C2211yescharacteristic
177#64944C2211yescharacteristic
178#64943C2211yescharacteristic
179#64942C2211yescharacteristic
180#64942C2211yescharacteristic
181#64942C2211yescharacteristic
182#64942C2211yescharacteristic
183#64941C2211yescharacteristic
184#64941C2211yescharacteristic
185#64941C2211yescharacteristic
186#64935C2211yescharacteristic
187#64935C2211yescharacteristic
188#64935C2211yescharacteristic
189#36742—51nomaximal, Sylow
190C22×C5×Q8C2311yescharacteristic
191C22×C5×Q8C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C22×C22⋊D5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C22×C4×D5C2311yescharacteristic
198C22×C4×D5C2311yescharacteristic
199C22×C4×D5C2311yescharacteristic
200C22×C4×D5C2311yescharacteristic
201C22×C4×D5C2311yescharacteristic
202C22×C4×D5C2311yescharacteristic
203C22×C4×D5C2311yescharacteristic
204C22×Dic10C2311yescharacteristic
205C22×Dic10C2311yescharacteristic
206C22×Dic10C2311yescharacteristic
207C5×C4⋊Q8—24no—
208C5×#124—42no—
209C5×#123—24no—
210C5×C22⋊Q8—42no—
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×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C22⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4C2311yescharacteristic
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C5×C22⋊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×C42×C5C2311yescharacteristic
233C2×C42×C5C2311yescharacteristic
234C2×C22⋊Dic5C2311yescharacteristic
235C2×C22⋊Dic5C2311yescharacteristic
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
246C2×C22⋊Dic5C2311yescharacteristic
247#4092—24no—
248#4092—24no—
249#4090—24no—
250#4090—24no—
251#4084—24no—
252#4081—24no—
253C4×C22⋊D5—24no—
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
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
270C2×C4⋊Dic5C2311yescharacteristic
271C2×C4⋊Dic5C2311yescharacteristic
272#4070—24no—
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×#683C2311yescharacteristic
301C2×C4×Dic5C2311yescharacteristic
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2311yescharacteristic
305C2×C4×Dic5C2311yescharacteristic
306C2×C4×Dic5C2311yescharacteristic
307C2×C4×Dic5C2311yescharacteristic
308C2×C4×Dic5C2311yescharacteristic
309#4042—24no—
310#4042—24no—
311#4042—24no—
312#4038—24no—
313D5×C4⋊C4—42no—
314D5×C4⋊C4D418yes—
315#4036—24no—
316#4036—24no—
317#4035—24no—
318#4035—24no—
319#4035—24no—
320#4034—24no—
321#4034—42no—
322#4029—24no—
323#4029—24no—
324#4027—24no—
325#4025—24no—
326#4025—24no—
327#4024—24no—
328#4024—42no—
329#4018—24no—
330C42×D5—42no—
331#4016—24no—
332C5×#95C2311yescharacteristic
333C5×#95C2311yescharacteristic
334C5×#95C2311yescharacteristic
335C5×#95C2311yescharacteristic
336C5×#95C2311yescharacteristic
337C5×#95C2311yescharacteristic
338C5×#95C2311yescharacteristic
339C5×#95C2311yescharacteristic
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#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
380C2×#544—51no—
381C2×#539—51no—
382#2857—51no—
383#2850—51no—
384#2721—51no—
385#2721—51no—
386#2719—51no—
387#2719—51no—
388#2716—51no—
389#2716—51no—
390#2713—51no—
391#2713—51no—
392#2694—51no—
393#2694—51no—
394#2690—51no—
395#2690—51no—
396#2677—51no—
397#2677—51no—
398#2674—51no—
399#2674D511yescharacteristic, complemented
400#2659—51no—
401#2639—51no—
402#2564—51no—
403#2564—51no—
404#2498—51no—
405#2498—51no—
406#2498—51no—
407#2498—51no—
408#2417—51no—
409#2417—51no—
410C2×#387—51no—
411C24×C5C2411yescharacteristic
412C24×C5C2411yescharacteristic
413C23×D5C2411yescharacteristic
414C2×C5×Q8—22no—
415C2×C5×Q8—22no—
416C2×C5×Q8—41no—
417C2×C5×Q8—41no—
418C2×C5×Q8—41no—
419C2×C5×Q8—41no—
420C2×C5×D4—22no—
421C2×C5×D4—41no—
422C2×C5×D4—41no—
423C22×C4×C5—22no—
424C22×C4×C5—41no—
425C22×C4×C5—41no—
426C22×C4×C5C2411yescharacteristic
427C22×C4×C5C2411yescharacteristic
428C22×C4×C5C2411yescharacteristic
429C22×C4×C5C2411yescharacteristic
430C22×C4×C5C2411yescharacteristic
431C22×C4×C5C2411yescharacteristic
432C22×C4×C5C2411yescharacteristic
433C22×C4×C5C2411yescharacteristic
434C22×C4×C5C2411yescharacteristic
435C22×C4×C5C2411yescharacteristic
436C22×C4×C5C2411yescharacteristic
437C22×C4×C5C2411yescharacteristic
438C22×C4×C5C2411yescharacteristic
439C2×C22⋊D5—22no—
440C2×C22⋊D5—22no—
441C2×C22⋊D5—22no—
442C2×C22⋊D5—22no—
443C2×C22⋊D5—22no—
444C2×C22⋊D5—22no—
445C22×Dic5—22no—
446C22×Dic5—41no—
447C22×Dic5—41no—
448C22×Dic5C2411yescharacteristic
449C22×Dic5C2411yescharacteristic
450C22×Dic5C2411yescharacteristic
451C22×Dic5C2411yescharacteristic
452C22×Dic5C2411yescharacteristic
453C22×Dic5C2411yescharacteristic
454C22×Dic5C2411yescharacteristic
455C22×Dic5C2411yescharacteristic
456C22×Dic5C2411yescharacteristic
457C22×Dic5C2411yescharacteristic
458C22×Dic5C2411yescharacteristic
459C22×Dic5C2411yescharacteristic
460C22×Dic5C2411yescharacteristic
461C22×Dic5C2411yescharacteristic
462C22×Dic5C2411yescharacteristic
463C2×C4×D5—22no—
464C2×C4×D5—22no—
465C2×C4×D5—22no—
466C2×C4×D5—22no—
467C2×C4×D5—22no—
468C2×C4×D5—22no—
469C2×C4×D5—22no—
470C2×C4×D5—22no—
471C2×C4×D5—41no—
472C2×C4×D5—41no—
473C2×C4×D5—41no—
474C2×C4×D5—41no—
475C2×C4×D5—41no—
476C2×C4×D5—41no—
477C2×C4×D5—41no—
478C2×C4×D5—41no—
479C2×C4×D5—41no—
480C2×C4×D5—41no—
481C2×C4×D5C2×D414yes—
482C2×C4×D5C2×D414yes—
483C2×C4×D5C2×D414yes—
484C2×Dic10—22no—
485C2×Dic10—22no—
486C2×Dic10—22no—
487C2×Dic10—41no—
488C2×Dic10—41no—
489C2×Dic10—41no—
490C2×Dic10—41no—
491C2×Dic10—41no—
492C2×Dic10—41no—
493C5×C4⋊C4—22no—
494C5×C4⋊C4—22no—
495C5×C4⋊C4—22no—
496C5×C4⋊C4—22no—
497C5×C4⋊C4—22no—
498C5×C4⋊C4—22no—
499C5×C4⋊C4—41no—
500C5×C4⋊C4—41no—
501C5×C4⋊C4—41no—
502C5×C4⋊C4C2×D414yes—
503C5×C22⋊C4—22no—
504C5×C22⋊C4—22no—
505C5×C22⋊C4—22no—
506C5×C22⋊C4—22no—
507C5×C22⋊C4—22no—
508C5×C22⋊C4—41no—
509C5×C22⋊C4—41no—
510C5×C22⋊C4—41no—
511C5×C22⋊C4—41no—
512C5×C22⋊C4—41no—
513C5×C22⋊C4—41no—
514C42×C5—22no—
515C42×C5—22no—
516C22⋊Dic5—22no—
517C22⋊Dic5—22no—
518C22⋊Dic5—22no—
519C22⋊Dic5—22no—
520C22⋊Dic5—22no—
521C22⋊Dic5—22no—
522C22⋊Dic5—22no—
523C22⋊Dic5—41no—
524C22⋊Dic5—41no—
525C22⋊Dic5—41no—
526C22⋊Dic5—41no—
527C22⋊Dic5—41no—
528C22⋊Dic5—41no—
529#685—22no—
530#685—22no—
531#685—22no—
532#685—22no—
533#685—22no—
534#685—22no—
535C4⋊Dic5—22no—
536C4⋊Dic5—22no—
537C4⋊Dic5—22no—
538C4⋊Dic5—22no—
539C4⋊Dic5—22no—
540C4⋊Dic5—22no—
541C4⋊Dic5—22no—
542C4⋊Dic5—41no—
543C4⋊Dic5—41no—
544C4⋊Dic5—41no—
545C4⋊Dic5—41no—
546C4⋊Dic5C2×D414yes—
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—22no—
565#683—22no—
566#683—41no—
567#683—41no—
568#683—41no—
569#683—41no—
570#683—41no—
571#683—41no—
572#683—41no—
573#683C2×D414yes—
574#683C2×D414yes—
575C4×Dic5—22no—
576C4×Dic5—22no—
577C4×Dic5—22no—
578C4×Dic5—22no—
579C4×Dic5—22no—
580C4×Dic5—22no—
581C4×Dic5—41no—
582C4×Dic5—41no—
583#544—108no—
584#539—108no—
585C2×C4⋊Q8—51no—
586C2×C4⋊Q8—51no—
587C2×C4⋊Q8—51no—
588C2×C4⋊Q8—51no—
589C2×C4⋊Q8C2×D511yescharacteristic
590C2×#126—51no—
591C2×#126—51no—
592C2×#125—51no—
593C2×#125—51no—
594C2×#125—51no—
595C2×#125—51no—
596C2×#125—51no—
597C2×#125—51no—
598C2×#124C2×D511yescharacteristic
599C2×#123—51no—
600C2×#123—51no—
601C2×#123—51no—
602C2×#123C2×D511yescharacteristic
603C2×C22⋊Q8—51no—
604C2×C22⋊Q8—51no—
605C2×C22⋊Q8—51no—
606C2×C22⋊Q8—51no—
607C2×C22⋊Q8—51no—
608C2×C22⋊Q8—51no—
609C2×C22⋊Q8—51no—
610C2×C22⋊Q8—51no—
611C2×C22⋊Q8C2×D511yescharacteristic
612C2×#121—51no—
613C2×C4×D4—51no—
614C2×C4×D4—51no—
615C2×#117—51no—
616C2×#117—51no—
617C22×C4⋊C4—51no—
618C22×C4⋊C4—51no—
619C22×C42—51no—
620#400—51no—
621#400—51no—
622#400—51no—
623#400—51no—
624#400—51no—
625#400—51no—
626#400—51no—
627#400—51no—
628#399—51no—
629#399—51no—
630#399—51no—
631#399—51no—
632#399—51no—
633#399C2×D511yescharacteristic
634#398—51no—
635#398—51no—
636#398—51no—
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#397—51no—
647#397—51no—
648#397—51no—
649#397—51no—
650#397—51no—
651#397C2×D511yescharacteristic
652#396—51no—
653#396—51no—
654#396—51no—
655#396C2×D511yescharacteristic
656#395—51no—
657#395—51no—
658#395—51no—
659#395—51no—
660#395—51no—
661#395C2×D511yescharacteristic
662#394—51no—
663#394C2×D511yescharacteristic
664#393—51no—
665#393—51no—
666#393—51no—
667#393C2×D511yescharacteristic
668#391—51no—
669#391—51no—
670#391—51no—
671#391—51no—
672#391—51no—
673#390—51no—
674#389—51no—
675#389—51no—
676#389—51no—
677#389—51no—
678#389—51no—
679#389C2×D511yescharacteristic
680#388—51no—
681#388—51no—
682#388—51no—
683#388—51no—
684#388—51no—
685#388—51no—
686#388—51no—
687#388—51no—
688#388—51no—
689#388—51no—
690#388C2×D511yescharacteristic
691#388C2×D511yescharacteristic
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#387—51no—
703#387—51no—
704#387—51no—
705#387—51no—
706#387—51no—
707#387—51no—
708#387—51no—
709#387—51no—
710#387—51no—
711#387C2×D511yescharacteristic
712#386—51no—
713#386—51no—
714#386—51no—
715#386—51no—
716#386—51no—
717#386—51no—
718#386—51no—
719#386—51no—
720#385—51no—
721#385—51no—
722#385—51no—
723#385C2×D511yescharacteristic
724#384—51no—
725#382—51no—
726#380—51no—
727#380—51no—
728#380—51no—
729#380—51no—
730#380—51no—
731#380—51no—
732#380—51no—
733#380—51no—
734#380—51no—
735#380—51no—
736C2×#95—51no—
737C2×#95—51no—
738C2×#95—51no—
739C2×#95—51no—
740C23×C5—21no—
741C23×C5—21no—
742C23×C5—21no—
743C23×C5—21no—
744C23×C5—21no—
745C23×C5—21no—
746C23×C5—21no—
747C23×C5—21no—
748C23×C5—21no—
749C23×C5—21no—
750C23×C5—21no—
751C23×C5—21no—
752C23×C5—21no—
753C23×C5—21no—
754C23×C5C2511yescharacteristic
755C22×D5—21no—
756C22×D5—21no—
757C22×D5—21no—
758C22×D5—21no—
759C22×D5C22×D412yes—
760C22×D52−1+412yes—
761C22×D52−1+412yes—
762C5×Q8—82no—
763C5×Q8—82no—
764C5×D4—82no—
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—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—82no—
801C2×C4×C5C22×D412yes—
802C2×C4×C5C22×D412yes—
803C2×C4×C5C22×D412yes—
804C2×C4×C5H(5,𝔽2)12yes—
805C22⋊D5—44no—
806C22⋊D5—44no—
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—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—82no—
849C2×Dic5C22×D412yes—
850C2×Dic5C22×D412yes—
851C2×Dic5C22×D412yes—
852C2×Dic52−1+412yes—
853C4×D5—28no—
854C4×D5—44no—
855C4×D5—44no—
856C4×D5—44no—
857C4×D5—44no—
858C4×D5—82no—
859C4×D5—82no—
860Dic10—82no—
861Dic10—82no—
862Dic10—82no—
863C22×Q8—51no—
864C22×Q8—51no—
865C22×Q8—51no—
866C22×Q8C22×D511yescharacteristic
867C22×Q8C22×D511yescharacteristic
868C22×D4—51no—
869C22×D4—51no—
870C22×D4C22×D511yescharacteristic
871C23×C4—51no—
872C23×C4—51no—
873C23×C4—51no—
874C23×C4—51no—
875C23×C4—51no—
876C23×C4—51no—
877C23×C4—51no—
878C23×C4—51no—
879C23×C4C22×D511yescharacteristic
880C4⋊Q8—24no—
881C4⋊Q8—104no—
882C4⋊Q8—104no—
883C4⋊Q8—104no—
884C4⋊Q8—202no—
885#126—104no—
886#126—104no—
887#125—104no—
888#125—104no—
889#125—104no—
890#125—104no—
891#125—104no—
892#125—104no—
893#124—42no—
894#123—24no—
895#123—104no—
896#123—104no—
897#123—104no—
898C22⋊Q8—42no—
899C22⋊Q8—104no—
900C22⋊Q8—104no—
901C22⋊Q8—104no—
902C22⋊Q8—104no—
903C22⋊Q8—104no—
904C22⋊Q8—104no—
905C22⋊Q8—104no—
906C22⋊Q8—202no—
907#121—104no—
908C4×D4—104no—
909C4×D4—104no—
910#117—104no—
911#117—104no—
912C2×C4⋊C4—51no—
913C2×C4⋊C4—51no—
914C2×C4⋊C4—51no—
915C2×C4⋊C4—58no—
916C2×C4⋊C4—51no—
917C2×C4⋊C4—51no—
918C2×C4⋊C4—51no—
919C2×C4⋊C4—51no—
920C2×C4⋊C4—51no—
921C2×C4⋊C4—51no—
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—202no—
954C2×C4⋊C4C22×D511yescharacteristic
955C2×C4⋊C4C22×D511yescharacteristic
956C2×C4⋊C4C22×D511yescharacteristic
957C2×C4⋊C4C22×D511yescharacteristic
958C2×C4⋊C4C22×D511yescharacteristic
959C2×C4⋊C4C22×D511yescharacteristic
960C2×C4⋊C4C22×D511yescharacteristic
961C2×C4⋊C4C22×D511yescharacteristic
962C2×C4⋊C4C22×D511yescharacteristic
963C2×C4⋊C4C22×D511yescharacteristic
964C2×C22⋊C4—51no—
965C2×C22⋊C4—51no—
966C2×C22⋊C4—51no—
967C2×C22⋊C4—51no—
968C2×C22⋊C4—51no—
969C2×C22⋊C4—51no—
970C2×C22⋊C4—51no—
971C2×C22⋊C4—51no—
972C2×C22⋊C4—51no—
973C2×C22⋊C4—51no—
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⋊C4C22×D511yescharacteristic
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×C22⋊C4C22×D511yescharacteristic
993C2×C22⋊C4C22×D511yescharacteristic
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—202no—
1003C2×C42C22×D511yescharacteristic
1004C2×C42C22×D511yescharacteristic
1005#95—51no—
1006#95—51no—
1007#95—51no—
1008#95—51no—
1009#95—51no—
1010#95—51no—
1011#95—51no—
1012#95—51no—
1013#95—51no—
1014#95—51no—
1015#95—51no—
1016#95—51no—
1017#95—51no—
1018#95—51no—
1019#95—51no—
1020#95—51no—
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#95C22×D511yescharacteristic
1046#95C22×D511yescharacteristic
1047#95C22×D511yescharacteristic
1048#95C22×D511yescharacteristic
1049#95C22×D511yescharacteristic
1050#95C22×D511yescharacteristic
1051#95C22×D511yescharacteristic
1052#95C22×D511yescharacteristic
1053C22×C5—41no—
1054C22×C5—41no—
1055C22×C5—41no—
1056C22×C5—41no—
1057C22×C5—41no—
1058C22×C5—41no—
1059C22×C5—41no—
1060C22×C5—41no—
1061C22×C5—41no—
1062C22×C5—41no—
1063C22×C5—41no—
1064C22×C5—41no—
1065C22×C5—41no—
1066C22×C5—41no—
1067C22×C5C23×D411yescharacteristic
1068C22×C5C2×H(5,𝔽2)11yescharacteristic
1069C22×C5C2×2−1+411yescharacteristic
1070C22×C5C2×2−1+411yescharacteristic
1071C22×C5C2×2−1+411yescharacteristic
1072C22×C5#58511yescharacteristic
1073C22×C5#58511yescharacteristic
1074C2×D5—22no—
1075C2×D5—22no—
1076C2×D5—22no—
1077C2×D5—22no—
1078C2×D5—22no—
1079C2×D5—22no—
1080C2×D5#53614yes—
1081C4×C5—22no—
1082C4×C5—22no—
1083C4×C5—22no—
1084C4×C5—22no—
1085C4×C5—41no—
1086C4×C5—41no—
1087C4×C5—41no—
1088C4×C5—41no—
1089C4×C5—41no—
1090C4×C5—41no—
1091C4×C5—41no—
1092C4×C5—41no—
1093C4×C5—41no—
1094Dic5—22no—
1095Dic5—22no—
1096Dic5—22no—
1097Dic5—22no—
1098Dic5—41no—
1099Dic5—41no—
1100Dic5—41no—
1101Dic5—41no—
1102Dic5—41no—
1103Dic5—41no—
1104Dic5—41no—
1105Dic5—41no—
1106Dic5—41no—
1107Dic5—41no—
1108Dic5—41no—
1109C24—51no—
1110C24C23×D511yescharacteristic
1111C24C23×D511yescharacteristic
1112C2×Q8—22no—
1113C2×Q8—22no—
1114C2×Q8—41no—
1115C2×Q8—41no—
1116C2×Q8—41no—
1117C2×Q8—41no—
1118C2×Q8—102no—
1119C2×Q8—102no—
1120C2×Q8—102no—
1121C2×Q8—201no—
1122C2×Q8—201no—
1123C2×Q8—201no—
1124C2×Q8—201no—
1125C2×Q8—201no—
1126C2×Q8—201no—
1127C2×D4—22no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—102no—
1131C2×D4—102no—
1132C2×D4—102no—
1133C2×D4—102no—
1134C2×D4—102no—
1135C2×D4—102no—
1136C22×C4—22no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—51no—
1140C22×C4—51no—
1141C22×C4—51no—
1142C22×C4—51no—
1143C22×C4—54no—
1144C22×C4—54no—
1145C22×C4—54no—
1146C22×C4—51no—
1147C22×C4—51no—
1148C22×C4—51no—
1149C22×C4—51no—
1150C22×C4—51no—
1151C22×C4—51no—
1152C22×C4—51no—
1153C22×C4—51no—
1154C22×C4—51no—
1155C22×C4—51no—
1156C22×C4—51no—
1157C22×C4—102no—
1158C22×C4—102no—
1159C22×C4—102no—
1160C22×C4—102no—
1161C22×C4—102no—
1162C22×C4—102no—
1163C22×C4—102no—
1164C22×C4—102no—
1165C22×C4—102no—
1166C22×C4—201no—
1167C22×C4—201no—
1168C22×C4—201no—
1169C22×C4—201no—
1170C22×C4—201no—
1171C22×C4—201no—
1172C22×C4—201no—
1173C22×C4—201no—
1174C22×C4—201no—
1175C22×C4—201no—
1176C22×C4—201no—
1177C22×C4—201no—
1178C22×C4C23×D511yescharacteristic
1179C22×C4C23×D511yescharacteristic
1180C22×C4C23×D511yescharacteristic
1181C22×C4C23×D511yescharacteristic
1182C22×C4C23×D511yescharacteristic
1183C22×C4C23×D511yescharacteristic
1184C22×C4C23×D511yescharacteristic
1185C22×C4C23×D511yescharacteristic
1186C22×C4C23×D511yescharacteristic
1187C22×C4C23×D511yescharacteristic
1188C22×C4C23×D511yescharacteristic
1189C22×C4C23×D511yescharacteristic
1190C22×C4C23×D511yescharacteristic
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—54no—
1201C4⋊C4—54no—
1202C4⋊C4—54no—
1203C4⋊C4—102no—
1204C4⋊C4—102no—
1205C4⋊C4—102no—
1206C4⋊C4—102no—
1207C4⋊C4—102no—
1208C4⋊C4—102no—
1209C4⋊C4—102no—
1210C4⋊C4—102no—
1211C4⋊C4—102no—
1212C4⋊C4—102no—
1213C4⋊C4—102no—
1214C4⋊C4—102no—
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—201no—
1230C4⋊C4—201no—
1231C4⋊C4—201no—
1232C4⋊C4—201no—
1233C4⋊C4—201no—
1234C4⋊C4—201no—
1235C4⋊C4—201no—
1236C4⋊C4—201no—
1237C4⋊C4—201no—
1238C4⋊C4—201no—
1239C4⋊C4—201no—
1240C4⋊C4D4×D514yes—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—102no—
1253C22⋊C4—102no—
1254C22⋊C4—102no—
1255C22⋊C4—102no—
1256C22⋊C4—102no—
1257C22⋊C4—102no—
1258C22⋊C4—102no—
1259C22⋊C4—102no—
1260C22⋊C4—102no—
1261C22⋊C4—102no—
1262C22⋊C4—102no—
1263C22⋊C4—102no—
1264C22⋊C4—102no—
1265C22⋊C4—201no—
1266C22⋊C4—201no—
1267C22⋊C4—201no—
1268C22⋊C4—201no—
1269C22⋊C4—201no—
1270C22⋊C4—201no—
1271C42—22no—
1272C42—22no—
1273C42—102no—
1274C42—102no—
1275C42—102no—
1276C42—102no—
1277C42—102no—
1278C42—102no—
1279C42—201no—
1280C42—201no—
1281C2×C5—81no—
1282C2×C5—81no—
1283C2×C5C2×#53611yescharacteristic
1284C2×C5#349611yescharacteristic
1285C2×C5#349711yescharacteristic
1286C2×C5#353511yescharacteristic
1287C2×C5#353811yescharacteristic
1288C2×C5#356311yescharacteristic
1289C2×C5#356411yescharacteristic
1290D5—24no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—52no—
1306C23—52no—
1307C23—52no—
1308C23—101no—
1309C23—101no—
1310C23—101no—
1311C23—101no—
1312C23C24×D511yescharacteristic
1313Q8—82no—
1314Q8—82no—
1315Q8—402no—
1316Q8—402no—
1317Q8—402no—
1318D4—82no—
1319D4—204no—
1320D4—204no—
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—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—52no—
1357C2×C4—52no—
1358C2×C4—52no—
1359C2×C4—52no—
1360C2×C4—82no—
1361C2×C4—108no—
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—101no—
1378C2×C4—101no—
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—204no—
1404C2×C4—204no—
1405C2×C4—204no—
1406C2×C4—204no—
1407C2×C4—402no—
1408C2×C4—402no—
1409C2×C4—402no—
1410C2×C4C2×D4×D512yes—
1411C2×C4C2×D4×D512yes—
1412C2×C4C2×D4×D512yes—
1413C2×C4#414412yes—
1414C5#3674211yescharacteristic, complemented, Sylow
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—54no—
1430C22—102no—
1431C22—102no—
1432C22—102no—
1433C22—102no—
1434C22—102no—
1435C22—102no—
1436C22C22×D4×D511yescharacteristic
1437C22C2×#414411yescharacteristic
1438C22#6628311yescharacteristic
1439C22#6628511yescharacteristic
1440C22D5×2−1+411yescharacteristic
1441C22D5×2−1+411yescharacteristic
1442C22D5×2−1+411yescharacteristic
1443C4—22no—
1444C4—22no—
1445C4—22no—
1446C4—22no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—102no—
1457C4—102no—
1458C4—102no—
1459C4—102no—
1460C4—201no—
1461C4—201no—
1462C4—201no—
1463C4—201no—
1464C4—201no—
1465C4—201no—
1466C4—201no—
1467C4—201no—
1468C4—201no—
1469C4—201no—
1470C4—201no—
1471C2—81no—
1472C2—81no—
1473C2—104no—
1474C2D5×#53611yescharacteristic
1475C2#1061826011yescharacteristic
1476C2#1061847111yescharacteristic
1477C2#1061852211yescharacteristic
1478C2#1061859011yescharacteristic
1479C2#1061863811yescharacteristic
1480C2#1061903711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2674C2
prime radicalC2×#4084C22
hypercenter#2674D5
hypocenterC5#36742
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2674

Complements

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

NH ≅ G/Ntype
1. C2×#66063C2semidirect
3. C5×#2674C2semidirect
4. #10614978C2semidirect
6. #10614713C2semidirect
7. #10614607C2semidirect
8. #10614522C2semidirect
9. #10614483C2semidirect
10. #10609837C2semidirect
11. #10609792C2semidirect
12. #10609410C2semidirect
13. #10609319C2semidirect
14. #10609095C2semidirect
15. #10609016C2semidirect
16. #10608989C2semidirect
17. #10608949C2semidirect
19. #10608746C2semidirect
20. #10608600C2semidirect
21. #10608561C2semidirect
22. #10608019C2semidirect
23. #10607849C2semidirect
24. #10607600C2semidirect
25. #10607600C2semidirect
26. #10607431C2semidirect
27. #10607403C2semidirect
28. D5×#387C2semidirect
29. #10606897C2semidirect
30. #10606346C2semidirect
31. #10606245C2semidirect
399. #2674D5semidirect
1414. C5#36742semidirect

Maximal subgroups

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

subgroupindex
C2×#660632
C2×#659942
C5×#26742
#106149782
#106147392
#106147132
#106146072
#106145222
#106144832
#106098372
#106097922
#106094102
#106093192
#106090952
#106090162
#106089892
#106089492
#106088572
#106087462
#106086002
#106085612
#106080192
#106078492
#106076002
#106074312
#106074032
D5×#3872
#106068972
#106063462
#106062452
#367425