Finite Group Databasebeta

← #12306938

Subgroups — #12306938

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×#2569C211yesmaximal, characteristic, complemented
2#10610111C211yesmaximal, characteristic, complemented
3#10610105C211yesmaximal, characteristic, complemented
4#10610028C211yesmaximal, characteristic, complemented
5#10610025C211yesmaximal, characteristic, complemented
6#10609699C211yesmaximal, characteristic, complemented
7#10609635C211yesmaximal, characteristic, complemented
8#10609618C211yesmaximal, characteristic, complemented
9#10609592C211yesmaximal, characteristic, complemented
10#10607169C211yesmaximal, characteristic, complemented
11#10607168C211yesmaximal, characteristic, complemented
12#10607142C211yesmaximal, characteristic, complemented
13#10607121C211yesmaximal, characteristic, complemented
14#10606979C211yesmaximal, characteristic, complemented
15#10606943C211yesmaximal, characteristic, complemented
16#10606908C211yesmaximal, characteristic, complemented
17#10606900C211yesmaximal, characteristic, complemented
18#10606317C211yesmaximal, characteristic, complemented
19#10606235C211yesmaximal, characteristic, complemented
20#10606144C211yesmaximal, characteristic
21#10606144C211yesmaximal, characteristic
22#10605736C211yesmaximal, characteristic
23#10605732C211yesmaximal, characteristic, complemented
24#10605688C211yesmaximal, characteristic, complemented
25#10605630C211yesmaximal, characteristic, complemented
26#10605627C211yesmaximal, characteristic
27#10605627C211yesmaximal, characteristic
28#10605298C211yesmaximal, characteristic
29#10605224C211yesmaximal, characteristic, complemented
30#10605090C211yesmaximal, characteristic, complemented
31C2×#64959C211yesmaximal, characteristic
32C22×#685C2211yescharacteristic
33C22×#685C2211yescharacteristic
34C22×#685C2211yescharacteristic
35C22×C4⋊Dic5C2211yescharacteristic
36C22×C4×Dic5C2211yescharacteristic
37C2×#4043C2211yescharacteristic
38C2×#4043C2211yescharacteristic
39C2×#4042C2211yescharacteristic
40C2×#4042C2211yescharacteristic
41C2×#4035C2211yescharacteristic, complemented
42C2×#4034C2211yescharacteristic, complemented
43C2×#4034C2211yescharacteristic, complemented
44C2×D5×C22⋊C4C2211yescharacteristic
45C2×D5×C22⋊C4C2211yescharacteristic
46C2×#4024C2211yescharacteristic
47C2×#4024C2211yescharacteristic
48C2×#4024C2211yescharacteristic
49C2×#4024C2211yescharacteristic
50C2×#4015C2211yescharacteristic, complemented
51C5×#400C2211yescharacteristic, complemented
52C5×#400C2211yescharacteristic, complemented
53C5×#398C2211yescharacteristic, complemented
54C5×#398C2211yescharacteristic, complemented
55C5×#387C2211yescharacteristic, complemented
56C5×#387C2211yescharacteristic, complemented
57C5×#387C2211yescharacteristic, complemented
58C5×#387C2211yescharacteristic, complemented
59C5×#385C2211yescharacteristic
60C5×#385C2211yescharacteristic
61C5×#380C2211yescharacteristic
62C5×#380C2211yescharacteristic
63C5×#380C2211yescharacteristic
64C4×C5×C22⋊C4C2211yescharacteristic
65C2×C5×#95C2211yescharacteristic
66#65501C2211yescharacteristic
67#65501C2211yescharacteristic
68#65501C2211yescharacteristic
69#65499C2211yescharacteristic
70#65499C2211yescharacteristic
71C4×C22⋊Dic5C2211yescharacteristic
72C2×#3963C2211yescharacteristic
73#65283C2211yescharacteristic
74#65283C2211yescharacteristic
75#65283C2211yescharacteristic
76#65283C2211yescharacteristic
77#65283C2211yescharacteristic
78#65283C2211yescharacteristic
79#65281C2211yescharacteristic
80#65281C2211yescharacteristic
81#65278C2211yescharacteristic
82#65278C2211yescharacteristic
83#65278C2211yescharacteristic
84#65278C2211yescharacteristic
85#65278C2211yescharacteristic
86#65278C2211yescharacteristic
87#65276C2211yescharacteristic
88#65276C2211yescharacteristic
89#65274C2211yescharacteristic, complemented
90#65274C2211yescharacteristic, complemented
91#65273C2211yescharacteristic, complemented
92#65273C2211yescharacteristic, complemented
93#65273C2211yescharacteristic, complemented
94#65272C2211yescharacteristic, complemented
95#65271C2211yescharacteristic, complemented
96#65270C2211yescharacteristic, complemented
97#65269C2211yescharacteristic, complemented
98#65268C2211yescharacteristic, complemented
99#65268C2211yescharacteristic, complemented
100#65267C2211yescharacteristic, complemented
101#65265C2211yescharacteristic, complemented
102#65265C2211yescharacteristic, complemented
103#65262C2211yescharacteristic, complemented
104#65262C2211yescharacteristic, complemented
105#65261C2211yescharacteristic, complemented
106#65244C2211yescharacteristic
107#65244C2211yescharacteristic
108#65239C2211yescharacteristic
109#65239C2211yescharacteristic
110#65235C2211yescharacteristic
111#65235C2211yescharacteristic
112#65231C2211yescharacteristic
113#65231C2211yescharacteristic
114#65231C2211yescharacteristic
115#65231C2211yescharacteristic
116#65229C2211yescharacteristic
117#65229C2211yescharacteristic
118#65229C2211yescharacteristic
119#65229C2211yescharacteristic
120#65224C2211yescharacteristic, complemented
121#65217C2211yescharacteristic, complemented
122#65217C2211yescharacteristic, complemented
123#64966C2211yescharacteristic
124#64966C2211yescharacteristic
125#64965C2211yescharacteristic
126#64965C2211yescharacteristic
127#64962C2211yescharacteristic
128#64962C2211yescharacteristic
129#64962C2211yescharacteristic
130#64962C2211yescharacteristic
131#64959C2211yescharacteristic
132#64959C2211yescharacteristic
133#64959C2211yescharacteristic
134#64959C2211yescharacteristic
135#64959C2211yescharacteristic
136#64959C2211yescharacteristic
137#64959C2211yescharacteristic
138#64959C2211yescharacteristic
139#64958C2211yescharacteristic
140#64958C2211yescharacteristic
141#64958C2211yescharacteristic
142#64958C2211yescharacteristic
143#64957C2211yescharacteristic
144#64957C2211yescharacteristic
145#64957C2211yescharacteristic
146#64957C2211yescharacteristic
147#64957C2211yescharacteristic
148#64957C2211yescharacteristic
149#64957C2211yescharacteristic
150#64957C2211yescharacteristic
151#64957C2211yescharacteristic
152#64957C2211yescharacteristic
153#64956C2211yescharacteristic
154#64956C2211yescharacteristic
155#64950C2211yescharacteristic, complemented
156#64950C2211yescharacteristic, complemented
157#64950C2211yescharacteristic, complemented
158#64950C2211yescharacteristic, complemented
159#64949C2211yescharacteristic, complemented
160#64949C2211yescharacteristic, complemented
161#64948C2211yescharacteristic, complemented
162#64947C2211yescharacteristic, complemented
163#64947C2211yescharacteristic, complemented
164#64946C2211yescharacteristic, complemented
165#64946C2211yescharacteristic, complemented
166#64946C2211yescharacteristic, complemented
167#64946C2211yescharacteristic, complemented
168#64946C2211yescharacteristic, complemented
169#64945C2211yescharacteristic, complemented
170#64945C2211yescharacteristic, complemented
171#64945C2211yescharacteristic, complemented
172#64945C2211yescharacteristic, complemented
173#64945C2211yescharacteristic, complemented
174#64945C2211yescharacteristic, complemented
175#64944C2211yescharacteristic, complemented
176#64944C2211yescharacteristic, complemented
177#64943C2211yescharacteristic, complemented
178#64943C2211yescharacteristic, 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#36749—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×Dic5C2311yescharacteristic
193C23×Dic5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C22×C4×D5C2311yescharacteristic
196C22×C4×D5C2311yescharacteristic
197C22×C4×D5C2311yescharacteristic
198C22×C4×D5C2311yescharacteristic
199C22×Dic10C2311yescharacteristic
200C22×Dic10C2311yescharacteristic
201C22×Dic10C2311yescharacteristic
202C22×Dic10C2311yescharacteristic
203C2×C5×C4⋊C4C2311yescharacteristic
204C2×C5×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
214C2×C5×C22⋊C4C2311yescharacteristic
215C2×C5×C22⋊C4C2311yescharacteristic
216C2×C5×C22⋊C4C2311yescharacteristic
217C2×C42×C5C2311yescharacteristic
218C2×C42×C5C2311yescharacteristic
219C2×C22⋊Dic5C2311yescharacteristic
220C2×C22⋊Dic5C2311yescharacteristic
221C2×C22⋊Dic5C2311yescharacteristic
222C2×C22⋊Dic5C2311yescharacteristic
223C2×#685—42no—
224C2×#685—42no—
225C2×#685Q818yescomplemented
226C2×#685C2311yescharacteristic
227C2×#685C2311yescharacteristic
228C2×#685C2311yescharacteristic
229C2×#685C2311yescharacteristic
230C2×#685C2311yescharacteristic
231C2×#685C2311yescharacteristic
232C2×#685C2311yescharacteristic
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×C4⋊Dic5—42no—
251C2×C4⋊Dic5C2311yescharacteristic
252C2×C4⋊Dic5C2311yescharacteristic
253C2×C4⋊Dic5C2311yescharacteristic
254C2×C4⋊Dic5C2311yescharacteristic
255C2×C4⋊Dic5C2311yescharacteristic
256C2×C4⋊Dic5C2311yescharacteristic
257C2×C4⋊Dic5C2311yescharacteristic
258C2×C4⋊Dic5C2311yescharacteristic
259C2×C4⋊Dic5C2311yescharacteristic
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×#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×#683C2311yescharacteristic
293C2×C4×Dic5—42no—
294C2×C4×Dic5C2311yescharacteristic
295C2×C4×Dic5C2311yescharacteristic
296C2×C4×Dic5C2311yescharacteristic
297C2×C4×Dic5C2311yescharacteristic
298C2×C4×Dic5C2311yescharacteristic
299C2×C4×Dic5C2311yescharacteristic
300#4043—42no—
301#4043—42no—
302#4042—42no—
303#4042—42no—
304#4035—42no—
305#4034—42no—
306#4034—42no—
307D5×C22⋊C4—42no—
308D5×C22⋊C4—42no—
309#4024—42no—
310#4024—42no—
311#4024—42no—
312#4024—42no—
313#4015—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
326C5×#95C2311yescharacteristic
327C5×#95C2311yescharacteristic
328C5×#95C2311yescharacteristic
329C5×#95C2311yescharacteristic
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#2790—51no—
365#2790—51no—
366#2790—51no—
367#2790—51no—
368#2788—51no—
369#2788—51no—
370#2768—51no—
371#2768—51no—
372#2742—51no—
373#2742—51no—
374#2729—51no—
375#2729—51no—
376#2720—51no—
377#2720—51no—
378#2677—51no—
379#2677—51no—
380#2659—51no—
381#2646—51no—
382#2569—51no—
383#2569D511yescharacteristic, complemented
384#2440—51no—
385#2440—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
403C22×C4×C5—22no—
404C22×C4×C5—22no—
405C22×C4×C5—22no—
406C22×C4×C5—41no—
407C22×C4×C5—41no—
408C22×C4×C5—41no—
409C22×C4×C5—41no—
410C22×C4×C5—41no—
411C22×C4×C5C2×Q814yes—
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×C4×C5C2411yescharacteristic
424C22×C4×C5C2411yescharacteristic
425C22×C4×C5C2411yescharacteristic
426C22×Dic5—22no—
427C22×Dic5—22no—
428C22×Dic5—22no—
429C22×Dic5—41no—
430C22×Dic5—41no—
431C22×Dic5—41no—
432C22×Dic5—41no—
433C22×Dic5—41no—
434C22×Dic5C2×Q814yes—
435C22×Dic5C2411yescharacteristic
436C22×Dic5C2411yescharacteristic
437C22×Dic5C2411yescharacteristic
438C22×Dic5C2411yescharacteristic
439C22×Dic5C2411yescharacteristic
440C22×Dic5C2411yescharacteristic
441C22×Dic5C2411yescharacteristic
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C22×Dic5C2411yescharacteristic
449C2×C4×D5—41no—
450C2×C4×D5—41no—
451C2×C4×D5—41no—
452C2×C4×D5—41no—
453C2×C4×D5—41no—
454C2×C4×D5—41no—
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×Dic10—22no—
462C2×Dic10—22no—
463C2×Dic10—41no—
464C2×Dic10—41no—
465C2×Dic10—41no—
466C2×Dic10—41no—
467C2×Dic10—41no—
468C2×Dic10—41no—
469C2×Dic10—41no—
470C2×Dic10—41no—
471C2×Dic10—41no—
472C2×Dic10—41no—
473C5×C4⋊C4—22no—
474C5×C4⋊C4—22no—
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×C22⋊C4—22no—
484C5×C22⋊C4—22no—
485C5×C22⋊C4—22no—
486C5×C22⋊C4—22no—
487C42×C5—41no—
488C42×C5—41no—
489C22⋊Dic5—22no—
490C22⋊Dic5—22no—
491C22⋊Dic5—22no—
492C22⋊Dic5—22no—
493#685—22no—
494#685—22no—
495#685—22no—
496#685—22no—
497#685—41no—
498#685—41no—
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#685C2×Q814yes—
514#685C2×Q814yes—
515#685C2×Q814yes—
516#685C2×Q814yes—
517C4⋊Dic5—22no—
518C4⋊Dic5—22no—
519C4⋊Dic5—22no—
520C4⋊Dic5—22no—
521C4⋊Dic5—41no—
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—
531C4⋊Dic5—41no—
532C4⋊Dic5—41no—
533C4⋊Dic5—41no—
534C4⋊Dic5—41no—
535#683—22no—
536#683—22no—
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×C4⋊Q8—51no—
567C2×C4⋊Q8—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⋊Q8—51no—
576C2×C22⋊Q8—51no—
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#400C2×D511yescharacteristic, complemented
591#400C2×D511yescharacteristic, complemented
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#395—51no—
627#395—51no—
628#393—51no—
629#393—51no—
630#393—51no—
631#393—51no—
632#391—51no—
633#391—51no—
634#389—51no—
635#389—51no—
636#389—51no—
637#389—51no—
638#389—51no—
639#389—51no—
640#389—51no—
641#389—51no—
642#389—51no—
643#389—51no—
644#388—51no—
645#388—51no—
646#388—51no—
647#388—51no—
648#388—51no—
649#388—51no—
650#388—51no—
651#388—51no—
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#387—51no—
661#387—51no—
662#387—51no—
663#387—51no—
664#387—51no—
665#387—51no—
666#387—51no—
667#387—51no—
668#387C2×D511yescharacteristic, complemented
669#387C2×D511yescharacteristic, complemented
670#387C2×D511yescharacteristic, complemented
671#387C2×D511yescharacteristic, complemented
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#384—51no—
698#384—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#380C2×D511yescharacteristic
712#380C2×D511yescharacteristic
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—
749C2×C4×C5—21no—
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—21no—
784C2×C4×C5—21no—
785C2×C4×C5—21no—
786C2×C4×C5—21no—
787C2×C4×C5—21no—
788C2×C4×C5—44no—
789C2×C4×C5—44no—
790C2×C4×C5—82no—
791C2×C4×C5C22×Q812yes—
792C2×C4×C5C22×Q812yes—
793C2×C4×C5H(5,𝔽2)12yes—
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—21no—
831C2×Dic5—21no—
832C2×Dic5—21no—
833C2×Dic5—44no—
834C2×Dic5—44no—
835C2×Dic5—82no—
836C2×Dic5C22×Q812yes—
837C2×Dic5C22×Q812yes—
838C2×Dic5H(5,𝔽2)12yes—
839C4×D5—82no—
840C4×D5—82no—
841C4×D5—82no—
842C4×D5—82no—
843Dic10—82no—
844Dic10—82no—
845Dic10—82no—
846Dic10—82no—
847C25—51no—
848C22×Q8—51no—
849C22×Q8—51no—
850C22×Q8—51no—
851C22×Q8—51no—
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—
863C4⋊Q8—202no—
864C4⋊Q8—202no—
865#125—202no—
866C22⋊Q8—202no—
867C22⋊Q8—202no—
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—51no—
915C2×C4⋊C4—51no—
916C2×C4⋊C4—202no—
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#95C22×D511yescharacteristic
1006#95C22×D511yescharacteristic
1007#95C22×D511yescharacteristic
1008#95C22×D511yescharacteristic
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—102no—
1089C2×Q8—102no—
1090C2×Q8—201no—
1091C2×Q8—201no—
1092C2×Q8—201no—
1093C2×Q8—201no—
1094C2×Q8—201no—
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—22no—
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—102no—
1169C4⋊C4—102no—
1170C4⋊C4—102no—
1171C4⋊C4—102no—
1172C4⋊C4—102no—
1173C4⋊C4—102no—
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—
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#353511yescharacteristic
1255C2×C5#353711yescharacteristic
1256C2×C5#356011yescharacteristic
1257C2×C5#356111yescharacteristic
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—
1285C23C2×Q8×D512yes—
1286C23#414912yes—
1287C23#415012yes—
1288C23C24×D511yescharacteristic
1289Q8—402no—
1290Q8—402no—
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#3674911yescharacteristic, 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#6602314yes—
1410C22C22×Q8×D511yescharacteristic
1411C22C2×#414911yescharacteristic
1412C22C2×#414911yescharacteristic
1413C22C2×#415011yescharacteristic
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×#6602311yescharacteristic
1449C2#1061818111yescharacteristic
1450C2#1061847511yescharacteristic
1451C2#1061870311yescharacteristic
1452C2#1061870911yescharacteristic
1453C2#1061880211yescharacteristic
1454C2#1061881711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2569C2
prime radicalC24×D5C23
hypercenter#2569D5
hypocenterC5#36749
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2569

Complements

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

NH ≅ G/Ntype
1. C5×#2569C2semidirect
2. #10610111C2semidirect
3. #10610105C2semidirect
4. #10610028C2semidirect
5. #10610025C2semidirect
6. #10609699C2semidirect
7. #10609635C2semidirect
8. #10609618C2semidirect
9. #10609592C2semidirect
10. #10607169C2semidirect
11. #10607168C2semidirect
12. #10607142C2semidirect
13. #10607121C2semidirect
14. #10606979C2semidirect
15. #10606943C2semidirect
16. #10606908C2semidirect
17. #10606900C2semidirect
18. #10606317C2semidirect
19. #10606235C2semidirect
23. #10605732C2semidirect
24. #10605688C2semidirect
25. #10605630C2semidirect
29. #10605224C2semidirect
30. #10605090C2semidirect
41. C2×#4035C22semidirect
42. C2×#4034C22semidirect
43. C2×#4034C22semidirect
50. C2×#4015C22semidirect
51. C5×#400C22semidirect
52. C5×#400C22semidirect
53. C5×#398C22semidirect
54. C5×#398C22semidirect
55. C5×#387C22semidirect
56. C5×#387C22semidirect
57. C5×#387C22semidirect
58. C5×#387C22semidirect
89. #65274C22semidirect
90. #65274C22semidirect
91. #65273C22semidirect
92. #65273C22semidirect
93. #65273C22semidirect
94. #65272C22semidirect
95. #65271C22semidirect
96. #65270C22semidirect
97. #65269C22semidirect
98. #65268C22semidirect
99. #65268C22semidirect
100. #65267C22semidirect
101. #65265C22semidirect
102. #65265C22semidirect
103. #65262C22semidirect
104. #65262C22semidirect
105. #65261C22semidirect
120. #65224C22semidirect
121. #65217C22semidirect
122. #65217C22semidirect
155. #64950C22semidirect
156. #64950C22semidirect
157. #64950C22semidirect
158. #64950C22semidirect
159. #64949C22semidirect
160. #64949C22semidirect
161. #64948C22semidirect
162. #64947C22semidirect
163. #64947C22semidirect
164. #64946C22semidirect
165. #64946C22semidirect
166. #64946C22semidirect
167. #64946C22semidirect
168. #64946C22semidirect
169. #64945C22semidirect
170. #64945C22semidirect
171. #64945C22semidirect
172. #64945C22semidirect
173. #64945C22semidirect
174. #64945C22semidirect
175. #64944C22semidirect
176. #64944C22semidirect
177. #64943C22semidirect
178. #64943C22semidirect
179. #64942C22semidirect
180. #64941C22semidirect
181. #64939C22semidirect
182. #64936C22semidirect
183. #64936C22semidirect
184. #64936C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
225. C2×#685Q8semidirect
383. #2569D5semidirect
590. #400C2×D5semidirect
591. #400C2×D5semidirect
610. #398C2×D5semidirect
611. #398C2×D5semidirect
668. #387C2×D5semidirect
669. #387C2×D5semidirect
670. #387C2×D5semidirect
671. #387C2×D5semidirect
1387. C5#36749semidirect

Maximal subgroups

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

subgroupindex
C5×#25692
#106101112
#106101052
#106100282
#106100252
#106096992
#106096352
#106096182
#106095922
#106071692
#106071682
#106071422
#106071212
#106069792
#106069432
#106069082
#106069002
#106063172
#106062352
#106061442
#106057362
#106057322
#106056882
#106056302
#106056272
#106052982
#106052242
#106050902
C2×#649592
#367495