Finite Group Databasebeta

← #12306632

Subgroups — #12306632

Order 1280.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2697C211yesmaximal, characteristic
2#10614605C211yesmaximal, characteristic, complemented
3#10614585C211yesmaximal, characteristic, complemented
4#10614333C211yesmaximal, characteristic
5#10614330C211yesmaximal, characteristic
6#10609329C211yesmaximal, characteristic, complemented
7#10609302C211yesmaximal, characteristic, complemented
8#10609209C211yesmaximal, characteristic, complemented
9#10609207C211yesmaximal, characteristic, complemented
10#10609104C211yesmaximal, characteristic, complemented
11#10609083C211yesmaximal, characteristic, complemented
12#10609078C211yesmaximal, characteristic, complemented
13#10609056C211yesmaximal, characteristic, complemented
14#10608753C211yesmaximal, characteristic, complemented
15#10608746C211yesmaximal, characteristic, complemented
16#10608729C211yesmaximal, characteristic, complemented
17#10608692C211yesmaximal, characteristic, complemented
18#10608135C211yesmaximal, characteristic, complemented
19#10608063C211yesmaximal, characteristic, complemented
20#10607460C211yesmaximal, characteristic, complemented
21#10607446C211yesmaximal, characteristic, complemented
22#10607346C211yesmaximal, characteristic, complemented
23#10607195C211yesmaximal, characteristic, complemented
24#10606570C211yesmaximal, characteristic, complemented
25#10606537C211yesmaximal, characteristic, complemented
26#10606498C211yesmaximal, characteristic, complemented
27#10606401C211yesmaximal, characteristic, complemented
28#10605577C211yesmaximal, characteristic, complemented
29#10605573C211yesmaximal, characteristic, complemented
30#10605572C211yesmaximal, characteristic, complemented
31#10605548C211yesmaximal, characteristic, complemented
32C24×Dic5C2211yescharacteristic
33C2×C5×#123C2211yescharacteristic
34C2×C5×#120C2211yescharacteristic
35C2×#4081C2211yescharacteristic
36C2×#4081C2211yescharacteristic
37C2×#4035C2211yescharacteristic, complemented
38C2×#4025C2211yescharacteristic
39C2×#4025C2211yescharacteristic, complemented
40C2×#4024C2211yescharacteristic
41C2×#4024C2211yescharacteristic
42C2×#4024C2211yescharacteristic
43C2×#4023C2211yescharacteristic
44C2×#4023C2211yescharacteristic
45C5×#397C2211yescharacteristic
46C5×#397C2211yescharacteristic
47C5×#396C2211yescharacteristic
48C5×#396C2211yescharacteristic
49C5×#394C2211yescharacteristic
50C5×#394C2211yescharacteristic
51C5×#390C2211yescharacteristic
52C5×#388C2211yescharacteristic
53C5×#388C2211yescharacteristic
54C5×#386C2211yescharacteristic
55C5×#386C2211yescharacteristic
56C5×#379C2211yescharacteristic
57C5×#379C2211yescharacteristic
58#65536C2211yescharacteristic
59#65536C2211yescharacteristic
60#65536C2211yescharacteristic
61#65511C2211yescharacteristic
62#65511C2211yescharacteristic
63#65511C2211yescharacteristic
64#65511C2211yescharacteristic
65#65510C2211yescharacteristic
66#65510C2211yescharacteristic
67#65509C2211yescharacteristic
68#65509C2211yescharacteristic
69#65509C2211yescharacteristic
70#65509C2211yescharacteristic
71#65501C2211yescharacteristic, complemented
72#65499C2211yescharacteristic, complemented
73#65499C2211yescharacteristic, complemented
74C4×C22⋊Dic5C2211yescharacteristic, complemented
75#65275C2211yescharacteristic, complemented
76#65273C2211yescharacteristic, complemented
77#65273C2211yescharacteristic, complemented
78#65272C2211yescharacteristic, complemented
79#65271C2211yescharacteristic, complemented
80#65270C2211yescharacteristic, complemented
81#65270C2211yescharacteristic, complemented
82#65269C2211yescharacteristic, complemented
83#65269C2211yescharacteristic, complemented
84#65268C2211yescharacteristic, complemented
85#65267C2211yescharacteristic, complemented
86#65267C2211yescharacteristic, complemented
87#65263C2211yescharacteristic, complemented
88#65262C2211yescharacteristic, complemented
89#65262C2211yescharacteristic, complemented
90#65262C2211yescharacteristic, complemented
91#65261C2211yescharacteristic, complemented
92#65261C2211yescharacteristic, complemented
93#65261C2211yescharacteristic, complemented
94#65242C2211yescharacteristic
95#65242C2211yescharacteristic
96#65241C2211yescharacteristic
97#65241C2211yescharacteristic
98#65241C2211yescharacteristic
99#65241C2211yescharacteristic
100#65241C2211yescharacteristic, complemented
101#65241C2211yescharacteristic, complemented
102#65240C2211yescharacteristic
103#65240C2211yescharacteristic
104#65240C2211yescharacteristic
105#65240C2211yescharacteristic
106#65240C2211yescharacteristic
107#65240C2211yescharacteristic, complemented
108#65239C2211yescharacteristic
109#65239C2211yescharacteristic
110#65239C2211yescharacteristic
111#65238C2211yescharacteristic
112#65238C2211yescharacteristic
113#65238C2211yescharacteristic
114#65238C2211yescharacteristic, complemented
115#65238C2211yescharacteristic, complemented
116#65237C2211yescharacteristic
117#65237C2211yescharacteristic
118#65237C2211yescharacteristic
119#65237C2211yescharacteristic
120#65237C2211yescharacteristic
121#65237C2211yescharacteristic, complemented
122#65236C2211yescharacteristic, complemented
123#65235C2211yescharacteristic
124#65235C2211yescharacteristic
125#65235C2211yescharacteristic
126#65235C2211yescharacteristic
127#65235C2211yescharacteristic
128#65235C2211yescharacteristic
129#65235C2211yescharacteristic
130#65234C2211yescharacteristic
131#65234C2211yescharacteristic
132#65234C2211yescharacteristic
133#65234C2211yescharacteristic
134#65234C2211yescharacteristic
135#65234C2211yescharacteristic, complemented
136#65234C2211yescharacteristic, complemented
137#65233C2211yescharacteristic
138#65233C2211yescharacteristic
139#65233C2211yescharacteristic
140#65233C2211yescharacteristic
141#65233C2211yescharacteristic
142#65233C2211yescharacteristic, complemented
143#65233C2211yescharacteristic, complemented
144#65232C2211yescharacteristic
145#65232C2211yescharacteristic
146#65232C2211yescharacteristic
147#65232C2211yescharacteristic
148#65231C2211yescharacteristic
149#65231C2211yescharacteristic
150#65231C2211yescharacteristic
151#65231C2211yescharacteristic
152#65231C2211yescharacteristic
153#65231C2211yescharacteristic
154#65231C2211yescharacteristic
155C22⋊C4×Dic5C2211yescharacteristic
156C22⋊C4×Dic5C2211yescharacteristic
157C22⋊C4×Dic5C2211yescharacteristic
158C22⋊C4×Dic5C2211yescharacteristic
159C4×C4⋊Dic5C2211yescharacteristic, complemented
160#65222C2211yescharacteristic, complemented
161#65222C2211yescharacteristic, complemented
162#65222C2211yescharacteristic, complemented
163#64950C2211yescharacteristic, complemented
164#64949C2211yescharacteristic, complemented
165#64949C2211yescharacteristic, complemented
166#64947C2211yescharacteristic, complemented
167#64947C2211yescharacteristic, complemented
168#64947C2211yescharacteristic, complemented
169#64946C2211yescharacteristic, complemented
170#64946C2211yescharacteristic, complemented
171#64946C2211yescharacteristic, complemented
172#64946C2211yescharacteristic, complemented
173#64944C2211yescharacteristic, complemented
174#64944C2211yescharacteristic, complemented
175#64944C2211yescharacteristic, complemented
176#64943C2211yescharacteristic, complemented
177#64942C2211yescharacteristic, complemented
178#64941C2211yescharacteristic, complemented
179#64941C2211yescharacteristic, complemented
180#64940C2211yescharacteristic, complemented
181#64938C2211yescharacteristic, complemented
182#64938C2211yescharacteristic, complemented
183#64936C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36736—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C22×C5×D4C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×Dic5—24no—
194C23×Dic5—42no—
195C23×Dic5—42no—
196C23×Dic5C2311yescharacteristic
197C23×Dic5C2311yescharacteristic
198C23×Dic5C2311yescharacteristic
199C23×Dic5C2311yescharacteristic
200C23×Dic5C2311yescharacteristic
201C23×Dic5C2311yescharacteristic
202C22×Dic10C2311yescharacteristic
203C5×#123—42no—
204C5×#120—42no—
205C2×C5×C4⋊C4C2311yescharacteristic
206C2×C5×C4⋊C4C2311yescharacteristic
207C2×C5×C4⋊C4C2311yescharacteristic
208C2×C5×C4⋊C4C2311yescharacteristic
209C2×C5×C4⋊C4C2311yescharacteristic
210C2×C5×C22⋊C4C2311yescharacteristic
211C2×C5×C22⋊C4C2311yescharacteristic
212C2×C5×C22⋊C4C2311yescharacteristic
213C2×C5×C22⋊C4C2311yescharacteristic
214C2×C5×C22⋊C4C2311yescharacteristic
215C2×C5×C22⋊C4C2311yescharacteristic
216C2×C5×C22⋊C4C2311yescharacteristic
217C2×C5×C22⋊C4C2311yescharacteristic
218C2×C5×C22⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4C2311yescharacteristic
220C2×C5×C22⋊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×C42×C5C2311yescharacteristic
229C2×C22⋊Dic5C2311yescharacteristic
230C2×C22⋊Dic5C2311yescharacteristic
231C2×C22⋊Dic5C2311yescharacteristic
232C2×C22⋊Dic5C2311yescharacteristic
233C2×C22⋊Dic5C2311yescharacteristic
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
247C2×C22⋊Dic5C2311yescharacteristic
248C2×C22⋊Dic5C2311yescharacteristic
249C2×C22⋊Dic5C2311yescharacteristic
250C2×C22⋊Dic5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
255#4081—24no—
256#4081—42no—
257C2×C4⋊Dic5C2311yescharacteristic
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×#683C2311yescharacteristic
267C2×#683C2311yescharacteristic
268C2×#683C2311yescharacteristic
269C2×#683C2311yescharacteristic
270C2×#683C2311yescharacteristic
271C2×#683C2311yescharacteristic
272C2×#683C2311yescharacteristic
273C2×#683C2311yescharacteristic
274C2×#683C2311yescharacteristic
275C2×#683C2311yescharacteristic
276C2×#683C2311yescharacteristic
277C2×#683C2311yescharacteristic
278C2×#683C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
289C2×#683C2311yescharacteristic
290C2×#683C2311yescharacteristic
291C2×#683C2311yescharacteristic
292C2×C4×Dic5C2311yescharacteristic
293C2×C4×Dic5C2311yescharacteristic
294C2×C4×Dic5C2311yescharacteristic
295C2×C4×Dic5C2311yescharacteristic
296C2×C4×Dic5C2311yescharacteristic
297C2×C4×Dic5C2311yescharacteristic
298C2×C4×Dic5C2311yescharacteristic
299C2×C4×Dic5C2311yescharacteristic
300C2×C4×Dic5C2311yescharacteristic
301C2×C4×Dic5C2311yescharacteristic
302#4035—42no—
303#4025—42no—
304#4025—42no—
305#4024—24no—
306#4024—42no—
307#4024—42no—
308#4023—42no—
309#4023—42no—
310C5×#95C2311yescharacteristic
311C5×#95C2311yescharacteristic
312C5×#95C2311yescharacteristic
313C5×#95C2311yescharacteristic
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316#3963C2311yescharacteristic
317#3963C2311yescharacteristic
318#3963C2311yescharacteristic
319#3963C2311yescharacteristic
320#3963C2311yescharacteristic
321#3963C2311yescharacteristic
322#3963C2311yescharacteristic
323#3963C2311yescharacteristic
324#3963C2311yescharacteristic
325#3963C2311yescharacteristic
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#2849—51no—
359#2848—51no—
360#2748—51no—
361#2747—51no—
362#2740—51no—
363#2739—51no—
364#2738—51no—
365#2738—51no—
366#2735—51no—
367#2735—51no—
368#2704—51no—
369#2702—51no—
370#2697D511yescharacteristic
371#2695—51no—
372#2694—51no—
373#2689—51no—
374#2687—51no—
375#2685—51no—
376#2667—51no—
377#2663—51no—
378#2597—51no—
379#2587—51no—
380#2587—51no—
381#2578—51no—
382#2479—51no—
383#2478—51no—
384#2475—51no—
385#2470—51no—
386#2335—51no—
387#2332—51no—
388#2280—51no—
389C24×C5—22no—
390C24×C5—22no—
391C24×C5—22no—
392C24×C5—41no—
393C24×C5—41no—
394C24×C5—41no—
395C24×C5—41no—
396C24×C5C2411yescharacteristic
397C24×C5C2411yescharacteristic
398C24×C5C2411yescharacteristic
399C24×C5C2411yescharacteristic
400C2×C5×D4—22no—
401C2×C5×D4—22no—
402C2×C5×D4—22no—
403C2×C5×D4—41no—
404C2×C5×D4—41no—
405C2×C5×D4—41no—
406C2×C5×D4—41no—
407C2×C5×D4—41no—
408C2×C5×D4—41no—
409C22×C4×C5—41no—
410C22×C4×C5—41no—
411C22×C4×C5—41no—
412C22×C4×C5C2411yescharacteristic
413C22×C4×C5C2411yescharacteristic
414C22×C4×C5C2411yescharacteristic
415C22×C4×C5C2411yescharacteristic
416C22×C4×C5C2411yescharacteristic
417C22×C4×C5C2411yescharacteristic
418C22×C4×C5C2411yescharacteristic
419C22×C4×C5C2411yescharacteristic
420C22×C4×C5C2411yescharacteristic
421C22×C4×C5C2411yescharacteristic
422C22×C4×C5C2411yescharacteristic
423C22×Dic5—22no—
424C22×Dic5—22no—
425C22×Dic5—22no—
426C22×Dic5—22no—
427C22×Dic5—22no—
428C22×Dic5—22no—
429C22×Dic5—22no—
430C22×Dic5—22no—
431C22×Dic5—22no—
432C22×Dic5—22no—
433C22×Dic5—41no—
434C22×Dic5—41no—
435C22×Dic5—41no—
436C22×Dic5—41no—
437C22×Dic5—41no—
438C22×Dic5—41no—
439C22×Dic5—41no—
440C22×Dic5—416no—
441C22×Dic5#4114yes—
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
455C22×Dic5C2411yescharacteristic
456C22×Dic5C2411yescharacteristic
457C22×Dic5C2411yescharacteristic
458C2×Dic10—22no—
459C2×Dic10—41no—
460C2×Dic10—41no—
461C5×C4⋊C4—41no—
462C5×C4⋊C4—41no—
463C5×C4⋊C4—41no—
464C5×C4⋊C4—41no—
465C5×C4⋊C4—41no—
466C5×C22⋊C4—22no—
467C5×C22⋊C4—22no—
468C5×C22⋊C4—22no—
469C5×C22⋊C4—22no—
470C5×C22⋊C4—22no—
471C5×C22⋊C4—41no—
472C5×C22⋊C4—41no—
473C5×C22⋊C4—41no—
474C5×C22⋊C4—41no—
475C5×C22⋊C4—41no—
476C5×C22⋊C4—41no—
477C5×C22⋊C4—41no—
478C5×C22⋊C4—41no—
479C5×C22⋊C4—41no—
480C5×C22⋊C4—41no—
481C5×C22⋊C4—41no—
482C5×C22⋊C4—41no—
483C5×C22⋊C4—41no—
484C42×C5—41no—
485C22⋊Dic5—22no—
486C22⋊Dic5—22no—
487C22⋊Dic5—22no—
488C22⋊Dic5—22no—
489C22⋊Dic5—22no—
490C22⋊Dic5—22no—
491C22⋊Dic5—22no—
492C22⋊Dic5—22no—
493C22⋊Dic5—22no—
494C22⋊Dic5—41no—
495C22⋊Dic5—41no—
496C22⋊Dic5—41no—
497C22⋊Dic5—41no—
498C22⋊Dic5—41no—
499C22⋊Dic5—41no—
500C22⋊Dic5—41no—
501C22⋊Dic5—41no—
502C22⋊Dic5—41no—
503C22⋊Dic5—41no—
504C22⋊Dic5—41no—
505C22⋊Dic5—41no—
506C22⋊Dic5—41no—
507C22⋊Dic5—41no—
508C22⋊Dic5—41no—
509C22⋊Dic5—41no—
510C22⋊Dic5—41no—
511C4⋊Dic5—22no—
512C4⋊Dic5—22no—
513C4⋊Dic5—41no—
514C4⋊Dic5—41no—
515C4⋊Dic5—41no—
516C4⋊Dic5—41no—
517C4⋊Dic5—41no—
518C4⋊Dic5—41no—
519C4⋊Dic5—41no—
520#683—22no—
521#683—22no—
522#683—22no—
523#683—22no—
524#683—22no—
525#683—22no—
526#683—22no—
527#683—22no—
528#683—41no—
529#683—41no—
530#683—41no—
531#683—41no—
532#683—41no—
533#683—41no—
534#683—41no—
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—
546C4×Dic5—41no—
547C4×Dic5—41no—
548C4×Dic5—41no—
549C4×Dic5—41no—
550C4×Dic5—41no—
551C4×Dic5—41no—
552C4×Dic5—41no—
553C4×Dic5—41no—
554C4×Dic5—41no—
555C4×Dic5—41no—
556C24×C4—51no—
557C2×#126—51no—
558C2×#126—51no—
559C2×#125—51no—
560C2×#123—51no—
561C2×#123—51no—
562C2×#123C2×D511yescharacteristic
563C2×C22⋊Q8—51no—
564C2×C22⋊Q8—51no—
565C2×C22⋊Q8—51no—
566C2×#120C2×D511yescharacteristic
567C2×#117—51no—
568C2×#117—51no—
569#400—51no—
570#400—51no—
571#400—51no—
572#400—51no—
573#400—51no—
574#400—51no—
575#400—51no—
576#399—51no—
577#399—51no—
578#399—51no—
579#399—51no—
580#399—51no—
581#398—51no—
582#398—51no—
583#398—51no—
584#398—51no—
585#398—51no—
586#398—51no—
587#398—51no—
588#398—51no—
589#398—51no—
590#398—51no—
591#397—51no—
592#397—51no—
593#397—51no—
594#397—51no—
595#397—51no—
596#397—51no—
597#397—51no—
598#397—51no—
599#397C2×D511yescharacteristic
600#397C2×D511yescharacteristic
601#396—51no—
602#396—51no—
603#396—51no—
604#396—51no—
605#396—51no—
606#396—51no—
607#396C2×D511yescharacteristic
608#396C2×D511yescharacteristic
609#395—51no—
610#394—51no—
611#394—51no—
612#394—51no—
613#394—51no—
614#394C2×D511yescharacteristic
615#394C2×D511yescharacteristic
616#393—51no—
617#391—51no—
618#391—51no—
619#390—51no—
620#390—51no—
621#390C2×D511yescharacteristic
622#389—51no—
623#389—51no—
624#389—51no—
625#389—51no—
626#389—51no—
627#389—51no—
628#389—51no—
629#389—51no—
630#389—51no—
631#388—51no—
632#388—51no—
633#388—51no—
634#388—51no—
635#388—51no—
636#388—51no—
637#388—51no—
638#388—51no—
639#388—51no—
640#388—51no—
641#388—51no—
642#388—51no—
643#388—51no—
644#388—51no—
645#388—51no—
646#388—51no—
647#388—51no—
648#388—51no—
649#388—51no—
650#388—51no—
651#388C2×D511yescharacteristic
652#388C2×D511yescharacteristic
653#387—51no—
654#387—51no—
655#387—51no—
656#387—51no—
657#387—51no—
658#387—51no—
659#387—51no—
660#387—51no—
661#387—51no—
662#387—51no—
663#387—51no—
664#387—51no—
665#387—51no—
666#387—51no—
667#386—51no—
668#386—51no—
669#386—51no—
670#386—51no—
671#386C2×D511yescharacteristic
672#386C2×D511yescharacteristic
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#383—51no—
686#381—51no—
687#381—51no—
688#381—51no—
689#381—51no—
690#380—51no—
691#380—51no—
692#380—51no—
693#380—51no—
694#380—51no—
695#380—51no—
696#380—51no—
697#380—51no—
698#379—51no—
699#379—51no—
700#379—51no—
701#379C2×D511yescharacteristic
702#379C2×D511yescharacteristic
703C4×C4⋊C4—51no—
704C4×C4⋊C4—51no—
705C4×C4⋊C4—51no—
706C4×C22⋊C4—51no—
707C4×C22⋊C4—51no—
708C4×C22⋊C4—51no—
709C4×C22⋊C4—51no—
710C4×C22⋊C4—51no—
711C23×C5—21no—
712C23×C5—21no—
713C23×C5—21no—
714C23×C5—21no—
715C23×C5—21no—
716C23×C5—21no—
717C23×C5—21no—
718C23×C5—21no—
719C23×C5—21no—
720C23×C5—21no—
721C23×C5—21no—
722C23×C5—21no—
723C23×C5—21no—
724C23×C5—21no—
725C23×C5—21no—
726C23×C5—21no—
727C23×C5—21no—
728C23×C5—21no—
729C23×C5—21no—
730C23×C5—21no—
731C23×C5—21no—
732C23×C5—21no—
733C23×C5—21no—
734C23×C5—21no—
735C23×C5—21no—
736C23×C5—44no—
737C23×C5—44no—
738C23×C5—44no—
739C23×C5—44no—
740C23×C5—44no—
741C23×C5—44no—
742C23×C5—44no—
743C23×C5C2×#4112yes—
744C23×C5H(5,𝔽2)12yes—
745C23×C52−1+412yes—
746C23×C5C2511yescharacteristic
747C5×D4—82no—
748C5×D4—82no—
749C5×D4—82no—
750C2×C4×C5—21no—
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—82no—
784C2×Dic5—28no—
785C2×Dic5—21no—
786C2×Dic5—21no—
787C2×Dic5—21no—
788C2×Dic5—21no—
789C2×Dic5—21no—
790C2×Dic5—21no—
791C2×Dic5—21no—
792C2×Dic5—21no—
793C2×Dic5—21no—
794C2×Dic5—21no—
795C2×Dic5—21no—
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—44no—
831C2×Dic5—44no—
832C2×Dic5—44no—
833C2×Dic5—44no—
834C2×Dic5—44no—
835C2×Dic5C2×#4112yes—
836C2×Dic5C2×#4112yes—
837C2×Dic5H(5,𝔽2)12yes—
838Dic10—82no—
839C25C22×D511yescharacteristic
840C22×Q8—51no—
841C22×D4C22×D511yescharacteristic
842C22×D4C22×D511yescharacteristic
843C22×D4C22×D511yescharacteristic
844C23×C4—51no—
845C23×C4—51no—
846C23×C4—51no—
847C23×C4—51no—
848C23×C4—51no—
849C23×C4—51no—
850C23×C4—104no—
851C23×C4—202no—
852C23×C4—202no—
853C23×C4C22×D511yescharacteristic
854#126—202no—
855#126—202no—
856#125—202no—
857#123—42no—
858#123—104no—
859#123—202no—
860C22⋊Q8—104no—
861C22⋊Q8—202no—
862C22⋊Q8—202no—
863#120—42no—
864#117—202no—
865#117—202no—
866C2×C4⋊C4—51no—
867C2×C4⋊C4—51no—
868C2×C4⋊C4—51no—
869C2×C4⋊C4—51no—
870C2×C4⋊C4—51no—
871C2×C4⋊C4—51no—
872C2×C4⋊C4—51no—
873C2×C4⋊C4—51no—
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⋊C4C22×D511yescharacteristic
902C2×C4⋊C4C22×D511yescharacteristic
903C2×C4⋊C4C22×D511yescharacteristic
904C2×C4⋊C4C22×D511yescharacteristic
905C2×C4⋊C4C22×D511yescharacteristic
906C2×C22⋊C4—51no—
907C2×C22⋊C4—51no—
908C2×C22⋊C4—51no—
909C2×C22⋊C4—51no—
910C2×C22⋊C4—51no—
911C2×C22⋊C4—51no—
912C2×C22⋊C4—51no—
913C2×C22⋊C4—51no—
914C2×C22⋊C4—51no—
915C2×C22⋊C4—51no—
916C2×C22⋊C4—51no—
917C2×C22⋊C4—51no—
918C2×C22⋊C4—51no—
919C2×C22⋊C4—51no—
920C2×C22⋊C4—51no—
921C2×C22⋊C4—51no—
922C2×C22⋊C4—51no—
923C2×C22⋊C4—51no—
924C2×C22⋊C4—51no—
925C2×C22⋊C4—51no—
926C2×C22⋊C4—51no—
927C2×C22⋊C4—51no—
928C2×C22⋊C4—51no—
929C2×C22⋊C4—51no—
930C2×C22⋊C4—51no—
931C2×C22⋊C4—51no—
932C2×C22⋊C4C22×D511yescharacteristic
933C2×C22⋊C4C22×D511yescharacteristic
934C2×C22⋊C4C22×D511yescharacteristic
935C2×C22⋊C4C22×D511yescharacteristic
936C2×C22⋊C4C22×D511yescharacteristic
937C2×C22⋊C4C22×D511yescharacteristic
938C2×C22⋊C4C22×D511yescharacteristic
939C2×C22⋊C4C22×D511yescharacteristic
940C2×C22⋊C4C22×D511yescharacteristic
941C2×C22⋊C4C22×D511yescharacteristic
942C2×C22⋊C4C22×D511yescharacteristic
943C2×C22⋊C4C22×D511yescharacteristic
944C2×C22⋊C4C22×D511yescharacteristic
945C2×C22⋊C4C22×D511yescharacteristic
946C2×C22⋊C4C22×D511yescharacteristic
947C2×C22⋊C4C22×D511yescharacteristic
948C2×C22⋊C4C22×D511yescharacteristic
949C2×C22⋊C4C22×D511yescharacteristic
950C2×C42—51no—
951C2×C42—51no—
952C2×C42—51no—
953C2×C42—51no—
954C2×C42—51no—
955C2×C42—51no—
956C2×C42—51no—
957C2×C42—51no—
958C2×C42—51no—
959C2×C42—51no—
960C2×C42C22×D511yescharacteristic
961#95—51no—
962#95—51no—
963#95—51no—
964#95—51no—
965#95—51no—
966#95—51no—
967#95—51no—
968#95—51no—
969#95—51no—
970#95—51no—
971#95—51no—
972#95—51no—
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#95C22×D511yescharacteristic
1004#95C22×D511yescharacteristic
1005#95C22×D511yescharacteristic
1006#95C22×D511yescharacteristic
1007#95C22×D511yescharacteristic
1008#95C22×D511yescharacteristic
1009C22×C5—22no—
1010C22×C5—22no—
1011C22×C5—22no—
1012C22×C5—22no—
1013C22×C5—22no—
1014C22×C5—22no—
1015C22×C5—22no—
1016C22×C5—22no—
1017C22×C5—22no—
1018C22×C5—416no—
1019C22×C5—41no—
1020C22×C5—41no—
1021C22×C5—41no—
1022C22×C5—41no—
1023C22×C5—41no—
1024C22×C5—41no—
1025C22×C5—41no—
1026C22×C5—41no—
1027C22×C5—41no—
1028C22×C5—41no—
1029C22×C5—41no—
1030C22×C5—41no—
1031C22×C5—41no—
1032C22×C5—41no—
1033C22×C5—41no—
1034C22×C5—41no—
1035C22×C5—41no—
1036C22×C5—41no—
1037C22×C5—41no—
1038C22×C5C22×#4111yescharacteristic
1039C22×C5C2×H(5,𝔽2)11yescharacteristic
1040C22×C5C2×H(5,𝔽2)11yescharacteristic
1041C22×C5C2×2−1+411yescharacteristic
1042C22×C5#58511yescharacteristic
1043C22×C5#58511yescharacteristic
1044C22×C5#58511yescharacteristic
1045C4×C5—41no—
1046C4×C5—41no—
1047C4×C5—41no—
1048C4×C5—41no—
1049C4×C5—41no—
1050C4×C5—41no—
1051C4×C5—41no—
1052C4×C5—41no—
1053C4×C5—41no—
1054C4×C5—41no—
1055C4×C5—41no—
1056Dic5—22no—
1057Dic5—22no—
1058Dic5—22no—
1059Dic5—41no—
1060Dic5—41no—
1061Dic5—41no—
1062Dic5—41no—
1063Dic5—41no—
1064Dic5—41no—
1065Dic5—41no—
1066Dic5—41no—
1067Dic5—41no—
1068Dic5—41no—
1069Dic5—41no—
1070Dic5—41no—
1071Dic5—41no—
1072C24—22no—
1073C24—22no—
1074C24—22no—
1075C24—41no—
1076C24—41no—
1077C24—41no—
1078C24—41no—
1079C24C23×D511yescharacteristic
1080C24C23×D511yescharacteristic
1081C24C23×D511yescharacteristic
1082C24C23×D511yescharacteristic
1083C2×Q8—102no—
1084C2×Q8—201no—
1085C2×Q8—201no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—51no—
1099C22×C4—51no—
1100C22×C4—51no—
1101C22×C4—54no—
1102C22×C4—51no—
1103C22×C4—51no—
1104C22×C4—51no—
1105C22×C4—51no—
1106C22×C4—51no—
1107C22×C4—51no—
1108C22×C4—51no—
1109C22×C4—51no—
1110C22×C4—51no—
1111C22×C4—51no—
1112C22×C4—51no—
1113C22×C4—51no—
1114C22×C4—51no—
1115C22×C4—102no—
1116C22×C4—102no—
1117C22×C4—102no—
1118C22×C4—102no—
1119C22×C4—102no—
1120C22×C4—102no—
1121C22×C4—102no—
1122C22×C4—102no—
1123C22×C4—102no—
1124C22×C4—102no—
1125C22×C4—201no—
1126C22×C4—201no—
1127C22×C4—201no—
1128C22×C4—201no—
1129C22×C4—201no—
1130C22×C4—201no—
1131C22×C4—201no—
1132C22×C4—2016no—
1133C22×C4C23×D511yescharacteristic
1134C22×C4C23×D511yescharacteristic
1135C22×C4C23×D511yescharacteristic
1136C22×C4C23×D511yescharacteristic
1137C22×C4C23×D511yescharacteristic
1138C22×C4C23×D511yescharacteristic
1139C22×C4C23×D511yescharacteristic
1140C22×C4C23×D511yescharacteristic
1141C22×C4C23×D511yescharacteristic
1142C22×C4C23×D511yescharacteristic
1143C22×C4C23×D511yescharacteristic
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—102no—
1150C4⋊C4—102no—
1151C4⋊C4—102no—
1152C4⋊C4—102no—
1153C4⋊C4—102no—
1154C4⋊C4—102no—
1155C4⋊C4—102no—
1156C4⋊C4—102no—
1157C4⋊C4—102no—
1158C4⋊C4—102no—
1159C4⋊C4—201no—
1160C4⋊C4—201no—
1161C4⋊C4—201no—
1162C4⋊C4—201no—
1163C4⋊C4—201no—
1164C4⋊C4—201no—
1165C4⋊C4—201no—
1166C4⋊C4—201no—
1167C4⋊C4—201no—
1168C4⋊C4—201no—
1169C4⋊C4—201no—
1170C4⋊C4—201no—
1171C4⋊C4—201no—
1172C4⋊C4—201no—
1173C4⋊C4—201no—
1174C4⋊C4—201no—
1175C4⋊C4—201no—
1176C4⋊C4—201no—
1177C4⋊C4—201no—
1178C4⋊C4—201no—
1179C4⋊C4—201no—
1180C4⋊C4—201no—
1181C4⋊C4—201no—
1182C4⋊C4—201no—
1183C4⋊C4—201no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—102no—
1203C22⋊C4—102no—
1204C22⋊C4—102no—
1205C22⋊C4—102no—
1206C22⋊C4—102no—
1207C22⋊C4—102no—
1208C22⋊C4—102no—
1209C22⋊C4—102no—
1210C22⋊C4—102no—
1211C22⋊C4—201no—
1212C22⋊C4—201no—
1213C22⋊C4—201no—
1214C22⋊C4—201no—
1215C22⋊C4—201no—
1216C22⋊C4—201no—
1217C22⋊C4—201no—
1218C22⋊C4—201no—
1219C22⋊C4—201no—
1220C22⋊C4—201no—
1221C22⋊C4—201no—
1222C22⋊C4—201no—
1223C22⋊C4—201no—
1224C22⋊C4—201no—
1225C22⋊C4—201no—
1226C22⋊C4—201no—
1227C22⋊C4—201no—
1228C42—41no—
1229C42—201no—
1230C42—201no—
1231C42—201no—
1232C42—201no—
1233C42—201no—
1234C42—201no—
1235C42—201no—
1236C42—201no—
1237C42—201no—
1238C42—201no—
1239C2×C5—42no—
1240C2×C5—42no—
1241C2×C5—42no—
1242C2×C5—81no—
1243C2×C5#345511yescharacteristic
1244C2×C5#349011yescharacteristic
1245C2×C5#349511yescharacteristic
1246C2×C5#353311yescharacteristic
1247C2×C5#353511yescharacteristic
1248C2×C5#353911yescharacteristic
1249C2×C5#354111yescharacteristic
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—44no—
1276C23—44no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23#414412yes—
1283C23D5×#4112yes—
1284C23#415012yes—
1285C23C24×D511yescharacteristic
1286Q8—402no—
1287D4—82no—
1288D4—82no—
1289D4—82no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
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—52no—
1324C2×C4—52no—
1325C2×C4—52no—
1326C2×C4—82no—
1327C2×C4—108no—
1328C2×C4—101no—
1329C2×C4—101no—
1330C2×C4—101no—
1331C2×C4—101no—
1332C2×C4—101no—
1333C2×C4—101no—
1334C2×C4—101no—
1335C2×C4—101no—
1336C2×C4—101no—
1337C2×C4—101no—
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—204no—
1374C2×C4—204no—
1375C2×C4—204no—
1376C2×C4—204no—
1377C2×C4—204no—
1378C5#3673611yescharacteristic, complemented, Sylow
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—416no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22C2×#414411yescharacteristic
1409C22C2×D5×#4111yescharacteristic
1410C22C2×#415011yescharacteristic
1411C22D5×H(5,𝔽2)11yescharacteristic
1412C22#6628511yescharacteristic
1413C22#6628511yescharacteristic
1414C22#6628511yescharacteristic
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—102no—
1427C4—102no—
1428C4—102no—
1429C4—201no—
1430C4—201no—
1431C4—201no—
1432C4—201no—
1433C4—201no—
1434C4—201no—
1435C4—201no—
1436C4—201no—
1437C4—201no—
1438C4—201no—
1439C4—201no—
1440C4—201no—
1441C4—201no—
1442C2—42no—
1443C2—42no—
1444C2—42no—
1445C2—81no—
1446C2#1061820111yescharacteristic
1447C2#1061828811yescharacteristic
1448C2#1061829911yescharacteristic
1449C2#1061854711yescharacteristic
1450C2#1061856511yescharacteristic
1451C2#1061869411yescharacteristic
1452C2#1061897311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2697C2
prime radicalC2×C5×#120C22
hypercenter#2697D5
hypocenterC5#36736
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2697

Complements

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

NH ≅ G/Ntype
2. #10614605C2semidirect
3. #10614585C2semidirect
6. #10609329C2semidirect
7. #10609302C2semidirect
8. #10609209C2semidirect
9. #10609207C2semidirect
10. #10609104C2semidirect
11. #10609083C2semidirect
12. #10609078C2semidirect
13. #10609056C2semidirect
14. #10608753C2semidirect
15. #10608746C2semidirect
16. #10608729C2semidirect
17. #10608692C2semidirect
18. #10608135C2semidirect
19. #10608063C2semidirect
20. #10607460C2semidirect
21. #10607446C2semidirect
22. #10607346C2semidirect
23. #10607195C2semidirect
24. #10606570C2semidirect
25. #10606537C2semidirect
26. #10606498C2semidirect
27. #10606401C2semidirect
28. #10605577C2semidirect
29. #10605573C2semidirect
30. #10605572C2semidirect
31. #10605548C2semidirect
37. C2×#4035C22semidirect
39. C2×#4025C22semidirect
71. #65501C22semidirect
72. #65499C22semidirect
73. #65499C22semidirect
74. C4×C22⋊Dic5C22semidirect
75. #65275C22semidirect
76. #65273C22semidirect
77. #65273C22semidirect
78. #65272C22semidirect
79. #65271C22semidirect
80. #65270C22semidirect
81. #65270C22semidirect
82. #65269C22semidirect
83. #65269C22semidirect
84. #65268C22semidirect
85. #65267C22semidirect
86. #65267C22semidirect
87. #65263C22semidirect
88. #65262C22semidirect
89. #65262C22semidirect
90. #65262C22semidirect
91. #65261C22semidirect
92. #65261C22semidirect
93. #65261C22semidirect
100. #65241C22semidirect
101. #65241C22semidirect
107. #65240C22semidirect
114. #65238C22semidirect
115. #65238C22semidirect
121. #65237C22semidirect
122. #65236C22semidirect
135. #65234C22semidirect
136. #65234C22semidirect
142. #65233C22semidirect
143. #65233C22semidirect
159. C4×C4⋊Dic5C22semidirect
160. #65222C22semidirect
161. #65222C22semidirect
162. #65222C22semidirect
163. #64950C22semidirect
164. #64949C22semidirect
165. #64949C22semidirect
166. #64947C22semidirect
167. #64947C22semidirect
168. #64947C22semidirect
169. #64946C22semidirect
170. #64946C22semidirect
171. #64946C22semidirect
172. #64946C22semidirect
173. #64944C22semidirect
174. #64944C22semidirect
175. #64944C22semidirect
176. #64943C22semidirect
177. #64942C22semidirect
178. #64941C22semidirect
179. #64941C22semidirect
180. #64940C22semidirect
181. #64938C22semidirect
182. #64938C22semidirect
183. #64936C22semidirect
184. #64936C22semidirect
185. #64936C22semidirect
186. #64935C22semidirect
1378. C5#36736semidirect

Maximal subgroups

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

subgroupindex
C5×#26972
#106146052
#106145852
#106143332
#106143302
#106093292
#106093022
#106092092
#106092072
#106091042
#106090832
#106090782
#106090562
#106087532
#106087462
#106087292
#106086922
#106081352
#106080632
#106074602
#106074462
#106073462
#106071952
#106065702
#106065372
#106064982
#106064012
#106055772
#106055732
#106055722
#106055482
#367365