Finite Group Databasebeta

← #12267082

Subgroups — #12267082

Order 1280.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66025C211yesmaximal, characteristic, complemented
2C22×#4039C211yesmaximal, characteristic, complemented
3C5×#2473C211yesmaximal, characteristic, complemented
4#10614790C211yesmaximal, characteristic, complemented
5#10613906C211yesmaximal, characteristic, complemented
6#10610074C211yesmaximal, characteristic, complemented
7#10609862C211yesmaximal, characteristic, complemented
8#10609684C211yesmaximal, characteristic, complemented
9#10609679C211yesmaximal, characteristic, complemented
10#10609678C211yesmaximal, characteristic, complemented
11#10609469C211yesmaximal, characteristic, complemented
12#10609468C211yesmaximal, characteristic, complemented
13#10609468C211yesmaximal, characteristic, complemented
14#10607750C211yesmaximal, characteristic, complemented
15#10607695C211yesmaximal, characteristic, complemented
16#10607057C211yesmaximal, characteristic, complemented
17#10606732C211yesmaximal, characteristic, complemented
18#10606671C211yesmaximal, characteristic, complemented
19#10606668C211yesmaximal, characteristic, complemented
20#10606332C211yesmaximal, characteristic
21#10606330C211yesmaximal, characteristic, complemented
22#10606183C211yesmaximal, characteristic, complemented
23#10606144C211yesmaximal, characteristic, complemented
24#10606112C211yesmaximal, characteristic, complemented
25#10606110C211yesmaximal, characteristic, complemented
26#10606110C211yesmaximal, characteristic, complemented
27#10606108C211yesmaximal, characteristic, complemented
28#10605749C211yesmaximal, characteristic, complemented
29#10605593C211yesmaximal, characteristic, complemented
30#10605325C211yesmaximal, characteristic, complemented
31C4×D5×C22⋊C4C211yesmaximal, characteristic, complemented
32C23×D20C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×#125C2211yescharacteristic, complemented
36C22×C5×C4⋊C4C2211yescharacteristic
37C22×#685C2211yescharacteristic
38C22×#685C2211yescharacteristic
39C22×C4×Dic5C2211yescharacteristic
40#66025—28no—
41C2×#4044C2211yescharacteristic, complemented
42C2×#4044C2211yescharacteristic, complemented
43C2×#4043C2211yescharacteristic, complemented
44C2×#4041C2211yescharacteristic
45C2×#4041C2211yescharacteristic
46C2×#4040C2211yescharacteristic
47C2×#4040C2211yescharacteristic
48C2×#4040C2211yescharacteristic, complemented
49C2×#4039—28no—
50C2×#4039C2211yescharacteristic
51C2×#4039C2211yescharacteristic
52C2×#4039C2211yescharacteristic
53C2×#4039C2211yescharacteristic
54C2×#4039C2211yescharacteristic
55C2×#4039C2211yescharacteristic
56C2×#4039C2211yescharacteristic
57C2×#4039C2211yescharacteristic
58C2×#4039C2211yescharacteristic, complemented
59C2×#4039C2211yescharacteristic, complemented
60C2×#4039C2211yescharacteristic, complemented
61C2×#4039C2211yescharacteristic, complemented
62C2×#4038C2211yescharacteristic, complemented
63C2×#4038C2211yescharacteristic, complemented
64C2×#4038C2211yescharacteristic, complemented
65C2×#4033C2211yescharacteristic, complemented
66C2×#4028C2211yescharacteristic
67C2×#4028C2211yescharacteristic
68C2×#4027C2211yescharacteristic
69C2×D5×C22⋊C4C2211yescharacteristic
70C2×D5×C22⋊C4C2211yescharacteristic
71C2×#4024C2211yescharacteristic
72C2×#4021C2211yescharacteristic, complemented
73C2×C42×D5C2211yescharacteristic, complemented
74C2×C42×D5C2211yescharacteristic, complemented
75C5×#400C2211yescharacteristic, complemented
76C5×#398C2211yescharacteristic, complemented
77C5×#398C2211yescharacteristic, complemented
78C5×#398C2211yescharacteristic, complemented
79C5×#389C2211yescharacteristic, complemented
80C5×#387C2211yescharacteristic, complemented
81C5×#387C2211yescharacteristic, complemented
82C5×#385C2211yescharacteristic
83C5×#385C2211yescharacteristic
84C5×#385C2211yescharacteristic
85C5×#385C2211yescharacteristic
86C5×#380C2211yescharacteristic
87C4×C5×C22⋊C4C2211yescharacteristic
88#65502C2211yescharacteristic
89#65502C2211yescharacteristic
90#65502C2211yescharacteristic
91#65501C2211yescharacteristic
92#65499C2211yescharacteristic
93C4×C22⋊Dic5C2211yescharacteristic
94#65283C2211yescharacteristic, complemented
95#65283C2211yescharacteristic, complemented
96#65283C2211yescharacteristic, complemented
97#65283C2211yescharacteristic, complemented
98#65282C2211yescharacteristic, complemented
99#65282C2211yescharacteristic, complemented
100#65282C2211yescharacteristic, complemented
101#65280C2211yescharacteristic
102#65280C2211yescharacteristic
103#65280C2211yescharacteristic
104#65280C2211yescharacteristic
105#65280C2211yescharacteristic, complemented
106#65279C2211yescharacteristic, complemented
107#65279C2211yescharacteristic, complemented
108#65279C2211yescharacteristic, complemented
109#65278C2211yescharacteristic, complemented
110#65278C2211yescharacteristic, complemented
111#65278C2211yescharacteristic, complemented
112#65278C2211yescharacteristic, complemented
113#65278C2211yescharacteristic, complemented
114#65276C2211yescharacteristic, complemented
115#65276C2211yescharacteristic, complemented
116#65276C2211yescharacteristic, complemented
117#65275C2211yescharacteristic, complemented
118#65271C2211yescharacteristic, complemented
119#65270C2211yescharacteristic, complemented
120#65267C2211yescharacteristic, complemented
121#65267C2211yescharacteristic, complemented
122#65267C2211yescharacteristic, complemented
123C4⋊C4×Dic5C2211yescharacteristic, complemented
124C4⋊C4×Dic5C2211yescharacteristic, complemented
125#65261C2211yescharacteristic, complemented
126#65247C2211yescharacteristic
127#65244C2211yescharacteristic
128#65244C2211yescharacteristic
129#65244C2211yescharacteristic
130#65244C2211yescharacteristic
131#65239C2211yescharacteristic
132#65231C2211yescharacteristic
133C22⋊C4×Dic5C2211yescharacteristic
134C22⋊C4×Dic5C2211yescharacteristic
135C22⋊C4×Dic5C2211yescharacteristic
136#65229C2211yescharacteristic, complemented
137#65229C2211yescharacteristic, complemented
138#65228C2211yescharacteristic, complemented
139C4×#685C2211yescharacteristic, complemented
140C4×#685C2211yescharacteristic, complemented
141#64966C2211yescharacteristic, complemented
142#64964C2211yescharacteristic, complemented
143#64964C2211yescharacteristic, complemented
144#64963C2211yescharacteristic, complemented
145#64963C2211yescharacteristic, complemented
146#64962C2211yescharacteristic, complemented
147#64962C2211yescharacteristic, complemented
148#64961C2211yescharacteristic
149#64961C2211yescharacteristic
150#64961C2211yescharacteristic, complemented
151#64961C2211yescharacteristic, complemented
152#64961C2211yescharacteristic, complemented
153#64960C2211yescharacteristic
154#64960C2211yescharacteristic
155#64959C2211yescharacteristic, complemented
156#64959C2211yescharacteristic, complemented
157#64958C2211yescharacteristic, complemented
158#64957C2211yescharacteristic, complemented
159#64957C2211yescharacteristic, complemented
160#64955C2211yescharacteristic, complemented
161#64955C2211yescharacteristic, complemented
162#64955C2211yescharacteristic, complemented
163#64955C2211yescharacteristic, complemented
164#64955C2211yescharacteristic, complemented
165#64955C2211yescharacteristic, complemented
166#64955C2211yescharacteristic, complemented
167#64955C2211yescharacteristic, complemented
168#64955C2211yescharacteristic, complemented
169#64954C2211yescharacteristic
170#64954C2211yescharacteristic
171#64954C2211yescharacteristic
172#64954C2211yescharacteristic
173#64954C2211yescharacteristic, complemented
174#64954C2211yescharacteristic, complemented
175#64954C2211yescharacteristic, complemented
176#64954C2211yescharacteristic, complemented
177#64954C2211yescharacteristic, complemented
178#64953C2211yescharacteristic, complemented
179#64953C2211yescharacteristic, complemented
180#64953C2211yescharacteristic, complemented
181D5×#95C2211yescharacteristic, complemented
182D5×#95C2211yescharacteristic, complemented
183#64944C2211yescharacteristic, complemented
184#64942C2211yescharacteristic, complemented
185#64938C2211yescharacteristic, complemented
186#64938C2211yescharacteristic, complemented
187#64937C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#34670—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C23×Dic5C2311yescharacteristic
198C22×D20—24no—
199C22×D20—24no—
200C22×D20—24no—
201C22×D20C2311yescharacteristic
202C22×D20C2311yescharacteristic
203C22×D20C2311yescharacteristic
204C22×D20C2311yescharacteristic
205C22×D20C2311yescharacteristic
206C22×D20C2311yescharacteristic
207C22×D20C2311yescharacteristic
208C22×D20C2311yescharacteristic
209C22×C4×D5—24no—
210C22×C4×D5—24no—
211C22×C4×D5—24no—
212C22×C4×D5—24no—
213C22×C4×D5—42no—
214C22×C4×D5—42no—
215C22×C4×D5C2311yescharacteristic
216C22×C4×D5C2311yescharacteristic
217C22×C4×D5C2311yescharacteristic
218C22×C4×D5C2311yescharacteristic
219C22×C4×D5C2311yescharacteristic
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C22×C4×D5C2311yescharacteristic
223C22×C4×D5C2311yescharacteristic
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×C4×D5C2311yescharacteristic
227C22×C4×D5C2311yescharacteristic
228C22×Dic10C2311yescharacteristic
229C5×#125—24no—
230C2×C5×C4⋊C4—24no—
231C2×C5×C4⋊C4C2311yescharacteristic
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C4⋊C4C2311yescharacteristic
239C2×C5×C4⋊C4C2311yescharacteristic
240C2×C5×C4⋊C4C2311yescharacteristic
241C2×C5×C4⋊C4C2311yescharacteristic
242C2×C5×C4⋊C4C2311yescharacteristic
243C2×C5×C4⋊C4C2311yescharacteristic
244C2×C5×C4⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C42×C5C2311yescharacteristic
250C2×C42×C5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×#685—24no—
255C2×#685—24no—
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×#685C2311yescharacteristic
261C2×#685C2311yescharacteristic
262C2×#685C2311yescharacteristic
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×#685C2311yescharacteristic
297C2×C4⋊Dic5C2311yescharacteristic
298C2×C4⋊Dic5C2311yescharacteristic
299C2×C4⋊Dic5C2311yescharacteristic
300C2×C4⋊Dic5C2311yescharacteristic
301C2×C4⋊Dic5C2311yescharacteristic
302C2×#683C2311yescharacteristic
303C2×#683C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×C4×Dic5—24no—
310C2×C4×Dic5C2311yescharacteristic
311C2×C4×Dic5C2311yescharacteristic
312C2×C4×Dic5C2311yescharacteristic
313C2×C4×Dic5C2311yescharacteristic
314C2×C4×Dic5C2311yescharacteristic
315C2×C4×Dic5C2311yescharacteristic
316C2×C4×Dic5C2311yescharacteristic
317C2×C4×Dic5C2311yescharacteristic
318C2×C4×Dic5C2311yescharacteristic
319C2×C4×Dic5C2311yescharacteristic
320C2×C4×Dic5C2311yescharacteristic
321C2×C4×Dic5C2311yescharacteristic
322C2×C4×Dic5C2311yescharacteristic
323#4044—24no—
324#4044—24no—
325#4043—24no—
326#4041—24no—
327#4041—24no—
328#4040—24no—
329#4040—24no—
330#4040—24no—
331#4039—24no—
332#4039—24no—
333#4039—24no—
334#4039—24no—
335#4039—24no—
336#4039—24no—
337#4039—24no—
338#4039—24no—
339#4039—24no—
340#4039—42no—
341#4039—42no—
342#4039D418yescomplemented
343#4038—24no—
344#4038—24no—
345#4038—42no—
346#4033—24no—
347#4028—24no—
348#4028—24no—
349#4027—24no—
350D5×C22⋊C4—24no—
351D5×C22⋊C4—24no—
352#4024—24no—
353#4021—24no—
354C42×D5—24no—
355C42×D5—42no—
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364C5×#95C2311yescharacteristic
365C5×#95C2311yescharacteristic
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392C2×#529—51no—
393C22×C4×D4—51no—
394#2481—51no—
395#2480—51no—
396#2473D511yescharacteristic, complemented
397#2472—51no—
398#2467—51no—
399#2466—51no—
400#2460—51no—
401#2459—51no—
402#2450—51no—
403#2444—51no—
404#2437—51no—
405#2425—51no—
406#2419—51no—
407#2412—51no—
408#2410—51no—
409#2405—51no—
410#2398—51no—
411#2395—51no—
412#2392—51no—
413#2392—51no—
414C4×C22⋊Q8—51no—
415C4×#123—51no—
416C4×#121—51no—
417C4×#120—51no—
418C4×#120—51no—
419#2290—51no—
420#2290—51no—
421#2280—51no—
422C2×C4×C22⋊C4—51no—
423C24×C5C2411yescharacteristic
424C23×D5—22no—
425C23×D5—22no—
426C23×D5—22no—
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—22no—
430C23×D5—22no—
431C23×D5—22no—
432C23×D5—22no—
433C23×D5—41no—
434C23×D5—41no—
435C23×D5—41no—
436C23×D5—41no—
437C23×D5#4114yes—
438C23×D5C2411yescharacteristic
439C23×D5C2411yescharacteristic
440C23×D5C2411yescharacteristic
441C23×D5C2411yescharacteristic
442C23×D5C2411yescharacteristic
443C22×C4×C5—22no—
444C22×C4×C5—22no—
445C22×C4×C5—22no—
446C22×C4×C5—22no—
447C22×C4×C5—22no—
448C22×C4×C5—22no—
449C22×C4×C5—22no—
450C22×C4×C5—41no—
451C22×C4×C5—41no—
452C22×C4×C5C2411yescharacteristic
453C22×C4×C5C2411yescharacteristic
454C22×C4×C5C2411yescharacteristic
455C22×C4×C5C2411yescharacteristic
456C22×C4×C5C2411yescharacteristic
457C22×C4×C5C2411yescharacteristic
458C22×C4×C5C2411yescharacteristic
459C22×C4×C5C2411yescharacteristic
460C22×C4×C5C2411yescharacteristic
461C22×C4×C5C2411yescharacteristic
462C22×C4×C5C2411yescharacteristic
463C22×C4×C5C2411yescharacteristic
464C22×C4×C5C2411yescharacteristic
465C22×C4×C5C2411yescharacteristic
466C2×C22⋊D5—22no—
467C2×C22⋊D5—22no—
468C2×C22⋊D5—22no—
469C22×Dic5—22no—
470C22×Dic5—22no—
471C22×Dic5—22no—
472C22×Dic5—22no—
473C22×Dic5—41no—
474C22×Dic5#4114yes—
475C22×Dic5C2411yescharacteristic
476C22×Dic5C2411yescharacteristic
477C22×Dic5C2411yescharacteristic
478C22×Dic5C2411yescharacteristic
479C22×Dic5C2411yescharacteristic
480C22×Dic5C2411yescharacteristic
481C22×Dic5C2411yescharacteristic
482C22×Dic5C2411yescharacteristic
483C22×Dic5C2411yescharacteristic
484C22×Dic5C2411yescharacteristic
485C22×Dic5C2411yescharacteristic
486C2×D20—232no—
487C2×D20—22no—
488C2×D20—22no—
489C2×D20—22no—
490C2×D20—22no—
491C2×D20—22no—
492C2×D20—22no—
493C2×D20—22no—
494C2×D20—22no—
495C2×D20—22no—
496C2×D20—22no—
497C2×D20—22no—
498C2×D20—22no—
499C2×D20—22no—
500C2×D20—22no—
501C2×D20—22no—
502C2×D20—22no—
503C2×D20—22no—
504C2×D20—22no—
505C2×D20—41no—
506C2×D20—41no—
507C2×D20—41no—
508C2×D20—41no—
509C2×D20C2×D414yes—
510C2×D20#4114yes—
511C2×C4×D5—22no—
512C2×C4×D5—22no—
513C2×C4×D5—22no—
514C2×C4×D5—22no—
515C2×C4×D5—22no—
516C2×C4×D5—22no—
517C2×C4×D5—22no—
518C2×C4×D5—22no—
519C2×C4×D5—22no—
520C2×C4×D5—22no—
521C2×C4×D5—22no—
522C2×C4×D5—22no—
523C2×C4×D5—22no—
524C2×C4×D5—22no—
525C2×C4×D5—22no—
526C2×C4×D5—22no—
527C2×C4×D5—22no—
528C2×C4×D5—22no—
529C2×C4×D5—22no—
530C2×C4×D5—22no—
531C2×C4×D5—22no—
532C2×C4×D5—22no—
533C2×C4×D5—22no—
534C2×C4×D5—22no—
535C2×C4×D5—22no—
536C2×C4×D5—22no—
537C2×C4×D5—22no—
538C2×C4×D5—22no—
539C2×C4×D5—22no—
540C2×C4×D5—416no—
541C2×C4×D5—416no—
542C2×C4×D5—41no—
543C2×C4×D5—41no—
544C2×C4×D5—41no—
545C2×C4×D5—41no—
546C2×C4×D5—41no—
547C2×C4×D5—41no—
548C2×C4×D5—41no—
549C2×C4×D5—41no—
550C2×C4×D5C2×D414yes—
551C2×C4×D5C2×D414yes—
552C2×Dic10—22no—
553C2×Dic10—22no—
554C2×Dic10—41no—
555C5×C4⋊C4—22no—
556C5×C4⋊C4—22no—
557C5×C4⋊C4—22no—
558C5×C4⋊C4—22no—
559C5×C4⋊C4—22no—
560C5×C4⋊C4—22no—
561C5×C4⋊C4—22no—
562C5×C4⋊C4—22no—
563C5×C4⋊C4—22no—
564C5×C4⋊C4—22no—
565C5×C4⋊C4—41no—
566C5×C4⋊C4—41no—
567C5×C4⋊C4—41no—
568C5×C4⋊C4C2×D414yes—
569C5×C22⋊C4—22no—
570C5×C22⋊C4—22no—
571C5×C22⋊C4—22no—
572C5×C22⋊C4#4114yes—
573C42×C5—22no—
574C42×C5—41no—
575C22⋊Dic5—22no—
576C22⋊Dic5—22no—
577C22⋊Dic5—22no—
578#685—22no—
579#685—22no—
580#685—22no—
581#685—22no—
582#685—22no—
583#685—22no—
584#685—22no—
585#685—22no—
586#685—22no—
587#685—22no—
588#685—22no—
589#685—22no—
590#685—22no—
591#685—22no—
592#685—22no—
593#685—22no—
594#685—22no—
595#685—22no—
596#685—22no—
597#685—22no—
598#685—22no—
599#685—22no—
600#685—22no—
601#685—22no—
602#685—22no—
603#685—22no—
604#685—22no—
605#685—22no—
606#685—41no—
607#685—41no—
608#685—41no—
609#685—41no—
610#685—41no—
611#685—41no—
612#685—41no—
613#685—41no—
614#685—41no—
615#685—41no—
616#685—41no—
617#685C2×D414yes—
618#685C2×D414yes—
619C4⋊Dic5—22no—
620C4⋊Dic5—22no—
621C4⋊Dic5—22no—
622C4⋊Dic5—41no—
623C4⋊Dic5—41no—
624#683—22no—
625#683—22no—
626#683—22no—
627#683—22no—
628#683—22no—
629#683—22no—
630#683—41no—
631C4×Dic5—22no—
632C4×Dic5—22no—
633C4×Dic5—22no—
634C4×Dic5—22no—
635C4×Dic5—22no—
636C4×Dic5—22no—
637C4×Dic5—22no—
638C4×Dic5—22no—
639C4×Dic5—22no—
640C4×Dic5—22no—
641C4×Dic5—22no—
642C4×Dic5—41no—
643C4×Dic5C2×D414yes—
644C23×D4—51no—
645C24×C4—51no—
646C24×C4—51no—
647#529—108no—
648C2×#126—51no—
649C2×#126—51no—
650C2×#125C2×D511yescharacteristic, complemented
651C2×#124—51no—
652C2×#123—51no—
653C2×#123—51no—
654C2×#123—51no—
655C2×C22⋊Q8—51no—
656C2×C22⋊Q8—51no—
657C2×#121—51no—
658C2×#121—51no—
659C2×#120—51no—
660C2×#120—51no—
661C2×C4×Q8—51no—
662C2×C4×D4—51no—
663C2×C4×D4—51no—
664C2×C4×D4—51no—
665C2×C4×D4—51no—
666C2×C4×D4—51no—
667C2×C4×D4—51no—
668C2×C4×D4—51no—
669C2×C4×D4—51no—
670C2×C4×D4—51no—
671C2×C4×D4—51no—
672C2×C4×D4—51no—
673C2×C4×D4—51no—
674C2×C4×D4—51no—
675C2×C4×D4—108no—
676C2×#117—51no—
677C2×#117—51no—
678C2×#117—51no—
679C22×C4⋊C4C2×D511yescharacteristic
680C22×C22⋊C4—51no—
681C22×C22⋊C4—51no—
682C22×C22⋊C4—51no—
683C22×C22⋊C4—51no—
684C22×C42—51no—
685C22×C42—51no—
686C22×C42—51no—
687#400—51no—
688#400—51no—
689#400C2×D511yescharacteristic, complemented
690#399—51no—
691#398C2×D511yescharacteristic, complemented
692#398C2×D511yescharacteristic, complemented
693#398C2×D511yescharacteristic, complemented
694#397—51no—
695#397—51no—
696#397—51no—
697#397—51no—
698#397—51no—
699#397—51no—
700#397—51no—
701#396—51no—
702#396—51no—
703#396—51no—
704#396—51no—
705#394—51no—
706#394—51no—
707#394—51no—
708#394—51no—
709#394—51no—
710#394—51no—
711#394—51no—
712#394—51no—
713#394—51no—
714#394—51no—
715#393—51no—
716#393—51no—
717#392—51no—
718#392—51no—
719#391—51no—
720#390—51no—
721#389—51no—
722#389C2×D511yescharacteristic, complemented
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388—51no—
730#388—51no—
731#387—51no—
732#387—51no—
733#387—51no—
734#387—51no—
735#387—51no—
736#387—51no—
737#387C2×D511yescharacteristic, complemented
738#387C2×D511yescharacteristic, complemented
739#386—51no—
740#386—51no—
741#386—51no—
742#386—51no—
743#386—51no—
744#386—51no—
745#386—51no—
746#386—51no—
747#386—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#385—51no—
753#385—51no—
754#385—51no—
755#385—51no—
756#385—51no—
757#385—51no—
758#385—51no—
759#385—51no—
760#385—51no—
761#385C2×D511yescharacteristic
762#385C2×D511yescharacteristic
763#385C2×D511yescharacteristic
764#385C2×D511yescharacteristic
765#381—51no—
766#381—51no—
767#381—51no—
768#380—51no—
769#380—51no—
770#380—51no—
771#380—51no—
772#380—51no—
773#380C2×D511yescharacteristic
774#379—51no—
775#379—51no—
776#379—51no—
777#379—51no—
778C4×C4⋊C4—51no—
779C4×C4⋊C4—51no—
780C4×C4⋊C4—51no—
781C4×C4⋊C4—51no—
782C4×C22⋊C4—51no—
783C4×C22⋊C4—51no—
784C4×C22⋊C4—51no—
785C4×C22⋊C4—51no—
786C4×C22⋊C4—51no—
787C4×C22⋊C4—51no—
788C4×C22⋊C4—51no—
789C4×C22⋊C4—51no—
790C4×C22⋊C4—51no—
791C4×C22⋊C4—51no—
792C4×C22⋊C4—51no—
793C4×C22⋊C4—51no—
794C4×C22⋊C4—51no—
795C4×C22⋊C4—51no—
796C4×C22⋊C4—51no—
797C4×C22⋊C4C2×D511yescharacteristic
798#376—51no—
799C2×#95—51no—
800C2×#95—51no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5C2×#4112yes—
806C23×C5C2×#4112yes—
807C23×C5C2×#4112yes—
808C23×C5C2511yescharacteristic
809C22×D5—21no—
810C22×D5—21no—
811C22×D5—21no—
812C22×D5—21no—
813C22×D5—28no—
814C22×D5—28no—
815C22×D5—21no—
816C22×D5—21no—
817C22×D5—21no—
818C22×D5—21no—
819C22×D5—21no—
820C22×D5—21no—
821C22×D5—21no—
822C22×D5—21no—
823C22×D5—21no—
824C22×D5—21no—
825C22×D5—21no—
826C22×D5—21no—
827C22×D5—21no—
828C22×D5—21no—
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—28no—
834C22×D5—21no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—21no—
841C22×D5—44no—
842C22×D5—44no—
843C22×D5—44no—
844C22×D5—44no—
845C22×D5—44no—
846C22×D5—44no—
847C22×D5—44no—
848C22×D5—44no—
849C22×D5—44no—
850C22×D5—44no—
851C22×D5—44no—
852C22×D5C22×D412yes—
853C22×D5C22×D412yes—
854C22×D5C2×#4112yes—
855C22×D5C2×#4112yes—
856C22×D5C2×#4112yes—
857C22×D5C2×#4112yes—
858C2×C4×C5—28no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—21no—
868C2×C4×C5—21no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—21no—
872C2×C4×C5—21no—
873C2×C4×C5—21no—
874C2×C4×C5—21no—
875C2×C4×C5—21no—
876C2×C4×C5—21no—
877C2×C4×C5—21no—
878C2×C4×C5—21no—
879C2×C4×C5—21no—
880C2×C4×C5—21no—
881C2×C4×C5—21no—
882C2×C4×C5—21no—
883C2×C4×C5—21no—
884C2×C4×C5—21no—
885C2×C4×C5—21no—
886C2×C4×C5—21no—
887C2×C4×C5—21no—
888C2×C4×C5—21no—
889C2×C4×C5—21no—
890C2×C4×C5—21no—
891C2×C4×C5—21no—
892C2×C4×C5—21no—
893C2×C4×C5—21no—
894C2×C4×C5—21no—
895C2×C4×C5—44no—
896C2×C4×C5—44no—
897C2×C4×C5C22×D412yes—
898C2×C4×C5C22×D412yes—
899C2×C4×C5C22×D412yes—
900C2×C4×C5C2×#4112yes—
901C2×C4×C5C2×#4112yes—
902C2×C4×C5C2×#4112yes—
903C22⋊D5—44no—
904C2×Dic5—21no—
905C2×Dic5—21no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—28no—
909C2×Dic5—21no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—21no—
915C2×Dic5—21no—
916C2×Dic5—21no—
917C2×Dic5—21no—
918C2×Dic5—21no—
919C2×Dic5—21no—
920C2×Dic5—21no—
921C2×Dic5—21no—
922C2×Dic5—21no—
923C2×Dic5—21no—
924C2×Dic5—21no—
925C2×Dic5—21no—
926C2×Dic5—21no—
927C2×Dic5—21no—
928C2×Dic5—21no—
929C2×Dic5—21no—
930C2×Dic5—21no—
931C2×Dic5—21no—
932C2×Dic5—21no—
933C2×Dic5—44no—
934C2×Dic5C22×D412yes—
935C2×Dic5C22×D412yes—
936C2×Dic5C2×#4112yes—
937C2×Dic5C2×#4112yes—
938C2×Dic5H(5,𝔽2)12yes—
939D20—28no—
940D20—28no—
941D20—28no—
942D20—28no—
943D20—44no—
944D20—44no—
945D20—44no—
946D20—44no—
947C4×D5—28no—
948C4×D5—28no—
949C4×D5—44no—
950C4×D5—44no—
951C4×D5—44no—
952C4×D5—44no—
953C4×D5—44no—
954C4×D5—44no—
955C4×D5—44no—
956C4×D5—44no—
957C4×D5—44no—
958C4×D5—44no—
959C4×D5—44no—
960Dic10—44no—
961C25—51no—
962C25—51no—
963C22×Q8—51no—
964C22×D4—51no—
965C22×D4—51no—
966C22×D4—51no—
967C22×D4—51no—
968C22×D4—51no—
969C22×D4—51no—
970C22×D4—51no—
971C22×D4—51no—
972C22×D4—51no—
973C22×D4—104no—
974C22×D4—104no—
975C22×D4—104no—
976C23×C4—51no—
977C23×C4—51no—
978C23×C4—51no—
979C23×C4—51no—
980C23×C4—51no—
981C23×C4—51no—
982C23×C4—51no—
983C23×C4—51no—
984C23×C4—51no—
985C23×C4—51no—
986C23×C4—51no—
987C23×C4—51no—
988C23×C4—51no—
989C23×C4—51no—
990C23×C4—51no—
991C23×C4—104no—
992C23×C4—104no—
993C23×C4—104no—
994C23×C4—104no—
995C23×C4—202no—
996C23×C4—202no—
997C23×C4C22×D511yescharacteristic
998C23×C4C22×D511yescharacteristic
999C23×C4C22×D511yescharacteristic
1000#126—104no—
1001#126—104no—
1002#125—24no—
1003#124—104no—
1004#123—104no—
1005#123—104no—
1006#123—104no—
1007C22⋊Q8—104no—
1008C22⋊Q8—104no—
1009#121—104no—
1010#121—104no—
1011#120—104no—
1012#120—104no—
1013C4×Q8—104no—
1014C4×D4—58no—
1015C4×D4—104no—
1016C4×D4—104no—
1017C4×D4—104no—
1018C4×D4—104no—
1019C4×D4—104no—
1020C4×D4—104no—
1021C4×D4—104no—
1022C4×D4—104no—
1023C4×D4—104no—
1024C4×D4—104no—
1025C4×D4—202no—
1026C4×D4—202no—
1027#117—104no—
1028#117—104no—
1029#117—202no—
1030C2×C4⋊C4—24no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—51no—
1033C2×C4⋊C4—51no—
1034C2×C4⋊C4—51no—
1035C2×C4⋊C4—51no—
1036C2×C4⋊C4—51no—
1037C2×C4⋊C4—51no—
1038C2×C4⋊C4—51no—
1039C2×C4⋊C4—51no—
1040C2×C4⋊C4—51no—
1041C2×C4⋊C4—51no—
1042C2×C4⋊C4—51no—
1043C2×C4⋊C4C22×D511yescharacteristic
1044C2×C4⋊C4C22×D511yescharacteristic
1045C2×C4⋊C4C22×D511yescharacteristic
1046C2×C4⋊C4C22×D511yescharacteristic
1047C2×C4⋊C4C22×D511yescharacteristic
1048C2×C4⋊C4C22×D511yescharacteristic
1049C2×C4⋊C4C22×D511yescharacteristic
1050C2×C4⋊C4C22×D511yescharacteristic
1051C2×C4⋊C4C22×D511yescharacteristic
1052C2×C4⋊C4C22×D511yescharacteristic
1053C2×C4⋊C4C22×D511yescharacteristic
1054C2×C4⋊C4C22×D511yescharacteristic
1055C2×C4⋊C4C22×D511yescharacteristic
1056C2×C4⋊C4C22×D511yescharacteristic
1057C2×C22⋊C4—51no—
1058C2×C22⋊C4—51no—
1059C2×C22⋊C4—51no—
1060C2×C22⋊C4—51no—
1061C2×C22⋊C4—51no—
1062C2×C22⋊C4—51no—
1063C2×C22⋊C4—51no—
1064C2×C22⋊C4—51no—
1065C2×C22⋊C4—51no—
1066C2×C22⋊C4—51no—
1067C2×C22⋊C4—51no—
1068C2×C22⋊C4—51no—
1069C2×C22⋊C4—51no—
1070C2×C22⋊C4—51no—
1071C2×C22⋊C4—51no—
1072C2×C22⋊C4—51no—
1073C2×C22⋊C4—51no—
1074C2×C22⋊C4—51no—
1075C2×C22⋊C4—51no—
1076C2×C22⋊C4—51no—
1077C2×C22⋊C4—51no—
1078C2×C22⋊C4—51no—
1079C2×C22⋊C4—51no—
1080C2×C22⋊C4—51no—
1081C2×C22⋊C4—51no—
1082C2×C22⋊C4—51no—
1083C2×C22⋊C4—51no—
1084C2×C22⋊C4—51no—
1085C2×C22⋊C4—51no—
1086C2×C22⋊C4—51no—
1087C2×C22⋊C4—51no—
1088C2×C22⋊C4—51no—
1089C2×C22⋊C4—51no—
1090C2×C22⋊C4—51no—
1091C2×C22⋊C4—51no—
1092C2×C22⋊C4—51no—
1093C2×C22⋊C4—51no—
1094C2×C22⋊C4—51no—
1095C2×C22⋊C4—51no—
1096C2×C22⋊C4—51no—
1097C2×C22⋊C4—51no—
1098C2×C22⋊C4—51no—
1099C2×C22⋊C4—51no—
1100C2×C22⋊C4—51no—
1101C2×C22⋊C4—104no—
1102C2×C22⋊C4—104no—
1103C2×C22⋊C4—104no—
1104C2×C22⋊C4—104no—
1105C2×C22⋊C4C22×D511yescharacteristic
1106C2×C22⋊C4C22×D511yescharacteristic
1107C2×C22⋊C4C22×D511yescharacteristic
1108C2×C22⋊C4C22×D511yescharacteristic
1109C2×C42—51no—
1110C2×C42—51no—
1111C2×C42—51no—
1112C2×C42—51no—
1113C2×C42—51no—
1114C2×C42—51no—
1115C2×C42—51no—
1116C2×C42—51no—
1117C2×C42—51no—
1118C2×C42—51no—
1119C2×C42—51no—
1120C2×C42—51no—
1121C2×C42—51no—
1122C2×C42—104no—
1123C2×C42—104no—
1124C2×C42—202no—
1125C2×C42C22×D511yescharacteristic
1126C2×C42C22×D511yescharacteristic
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130#95—51no—
1131#95—51no—
1132#95—51no—
1133#95—51no—
1134#95—51no—
1135#95—51no—
1136#95—51no—
1137#95—51no—
1138#95—51no—
1139#95—51no—
1140#95—51no—
1141#95—51no—
1142#95—51no—
1143#95—51no—
1144#95—51no—
1145#95—51no—
1146#95—51no—
1147#95—51no—
1148#95—51no—
1149#95—51no—
1150#95—51no—
1151#95C22×D511yescharacteristic
1152#95C22×D511yescharacteristic
1153#95C22×D511yescharacteristic
1154#95C22×D511yescharacteristic
1155#95C22×D511yescharacteristic
1156#95C22×D511yescharacteristic
1157#95C22×D511yescharacteristic
1158#95C22×D511yescharacteristic
1159#95C22×D511yescharacteristic
1160#95C22×D511yescharacteristic
1161#95C22×D511yescharacteristic
1162#95C22×D511yescharacteristic
1163C22×C5—22no—
1164C22×C5—22no—
1165C22×C5—22no—
1166C22×C5—22no—
1167C22×C5—22no—
1168C22×C5—22no—
1169C22×C5#52914yescomplemented
1170C22×C5C23×D411yescharacteristic
1171C22×C5C22×#4111yescharacteristic
1172C22×C5C22×#4111yescharacteristic
1173C22×C5C22×#4111yescharacteristic
1174C22×C5C22×#4111yescharacteristic
1175C22×C5C2×H(5,𝔽2)11yescharacteristic
1176C22×C5#58511yescharacteristic
1177C2×D5—22no—
1178C2×D5—22no—
1179C2×D5—22no—
1180C2×D5—22no—
1181C2×D5—22no—
1182C2×D5—22no—
1183C2×D5—22no—
1184C2×D5—22no—
1185C2×D5—22no—
1186C2×D5—22no—
1187C2×D5—22no—
1188C2×D5—22no—
1189C2×D5—22no—
1190C2×D5—22no—
1191C2×D5—22no—
1192C2×D5—416no—
1193C2×D5—416no—
1194C2×D5—41no—
1195C2×D5—41no—
1196C2×D5—41no—
1197C2×D5—41no—
1198C2×D5—41no—
1199C2×D5—41no—
1200C2×D5—41no—
1201C2×D5—41no—
1202C2×D5—41no—
1203C2×D5—41no—
1204C2×D5—41no—
1205C2×D5—41no—
1206C2×D5—41no—
1207C2×D5—41no—
1208C2×D5—41no—
1209C2×D5—41no—
1210C2×D5—41no—
1211C2×D5—41no—
1212C2×D5—41no—
1213C2×D5#52514yes—
1214C4×C5—22no—
1215C4×C5—22no—
1216C4×C5—22no—
1217C4×C5—22no—
1218C4×C5—22no—
1219C4×C5—22no—
1220C4×C5—41no—
1221C4×C5—41no—
1222C4×C5—41no—
1223C4×C5—41no—
1224C4×C5—41no—
1225C4×C5—41no—
1226C4×C5—41no—
1227C4×C5—41no—
1228Dic5—22no—
1229Dic5—22no—
1230Dic5—41no—
1231Dic5—41no—
1232Dic5—41no—
1233Dic5—41no—
1234Dic5—41no—
1235Dic5—41no—
1236Dic5—41no—
1237Dic5—41no—
1238Dic5#54614yes—
1239C24—51no—
1240C24—51no—
1241C24—51no—
1242C24—51no—
1243C24—54no—
1244C24—51no—
1245C24—102no—
1246C24—102no—
1247C24—102no—
1248C24—102no—
1249C24—102no—
1250C24—102no—
1251C24—102no—
1252C24—102no—
1253C24—102no—
1254C24—201no—
1255C24—201no—
1256C24—201no—
1257C24—201no—
1258C24C23×D511yescharacteristic
1259C2×Q8—102no—
1260C2×Q8—102no—
1261C2×Q8—201no—
1262C2×D4—54no—
1263C2×D4—54no—
1264C2×D4—102no—
1265C2×D4—102no—
1266C2×D4—102no—
1267C2×D4—102no—
1268C2×D4—102no—
1269C2×D4—102no—
1270C2×D4—102no—
1271C2×D4—102no—
1272C2×D4—1032no—
1273C2×D4—102no—
1274C2×D4—102no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—102no—
1278C2×D4—102no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—102no—
1282C2×D4—102no—
1283C2×D4—102no—
1284C2×D4—102no—
1285C2×D4—102no—
1286C2×D4—201no—
1287C2×D4—201no—
1288C2×D4—201no—
1289C2×D4—201no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—51no—
1300C22×C4—54no—
1301C22×C4—51no—
1302C22×C4—51no—
1303C22×C4—54no—
1304C22×C4—54no—
1305C22×C4—51no—
1306C22×C4—51no—
1307C22×C4—51no—
1308C22×C4—51no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—51no—
1312C22×C4—51no—
1313C22×C4—102no—
1314C22×C4—102no—
1315C22×C4—102no—
1316C22×C4—102no—
1317C22×C4—102no—
1318C22×C4—102no—
1319C22×C4—102no—
1320C22×C4—102no—
1321C22×C4—102no—
1322C22×C4—102no—
1323C22×C4—102no—
1324C22×C4—102no—
1325C22×C4—102no—
1326C22×C4—102no—
1327C22×C4—102no—
1328C22×C4—102no—
1329C22×C4—102no—
1330C22×C4—102no—
1331C22×C4—102no—
1332C22×C4—102no—
1333C22×C4—102no—
1334C22×C4—102no—
1335C22×C4—102no—
1336C22×C4—102no—
1337C22×C4—102no—
1338C22×C4—102no—
1339C22×C4—102no—
1340C22×C4—102no—
1341C22×C4—102no—
1342C22×C4—102no—
1343C22×C4—102no—
1344C22×C4—102no—
1345C22×C4—102no—
1346C22×C4—201no—
1347C22×C4—201no—
1348C22×C4—201no—
1349C22×C4—201no—
1350C22×C4—201no—
1351C22×C4—201no—
1352C22×C4—201no—
1353C22×C4—201no—
1354C22×C4—2016no—
1355C22×C4—2016no—
1356C22×C4—201no—
1357C22×C4C23×D511yescharacteristic
1358C22×C4C23×D511yescharacteristic
1359C22×C4C23×D511yescharacteristic
1360C22×C4C23×D511yescharacteristic
1361C22×C4C23×D511yescharacteristic
1362C22×C4C23×D511yescharacteristic
1363C22×C4C23×D511yescharacteristic
1364C22×C4C23×D511yescharacteristic
1365C22×C4C23×D511yescharacteristic
1366C22×C4C23×D511yescharacteristic
1367C22×C4C23×D511yescharacteristic
1368C22×C4C23×D511yescharacteristic
1369C22×C4C23×D511yescharacteristic
1370C22×C4C23×D511yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—41no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—102no—
1385C4⋊C4—102no—
1386C4⋊C4—102no—
1387C4⋊C4—102no—
1388C4⋊C4—102no—
1389C4⋊C4—102no—
1390C4⋊C4—102no—
1391C4⋊C4—102no—
1392C4⋊C4—102no—
1393C4⋊C4—201no—
1394C4⋊C4—201no—
1395C4⋊C4—201no—
1396C4⋊C4D4×D514yes—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—54no—
1401C22⋊C4—54no—
1402C22⋊C4—102no—
1403C22⋊C4—102no—
1404C22⋊C4—102no—
1405C22⋊C4—102no—
1406C22⋊C4—102no—
1407C22⋊C4—102no—
1408C22⋊C4—102no—
1409C22⋊C4—102no—
1410C22⋊C4—102no—
1411C22⋊C4—102no—
1412C22⋊C4—102no—
1413C22⋊C4—102no—
1414C22⋊C4—102no—
1415C22⋊C4—102no—
1416C22⋊C4—102no—
1417C22⋊C4—102no—
1418C22⋊C4—102no—
1419C22⋊C4—102no—
1420C22⋊C4—102no—
1421C22⋊C4—102no—
1422C22⋊C4—102no—
1423C22⋊C4—102no—
1424C22⋊C4—102no—
1425C22⋊C4—102no—
1426C22⋊C4—102no—
1427C22⋊C4—102no—
1428C22⋊C4—102no—
1429C22⋊C4—102no—
1430C22⋊C4—102no—
1431C22⋊C4—102no—
1432C22⋊C4—102no—
1433C22⋊C4—201no—
1434C22⋊C4—201no—
1435C22⋊C4—201no—
1436C22⋊C4—201no—
1437C22⋊C4—201no—
1438C22⋊C4—201no—
1439C22⋊C4—201no—
1440C22⋊C4—201no—
1441C22⋊C4—201no—
1442C22⋊C4—201no—
1443C22⋊C4—201no—
1444C22⋊C4#71314yes—
1445C42—22no—
1446C42—41no—
1447C42—54no—
1448C42—102no—
1449C42—102no—
1450C42—102no—
1451C42—102no—
1452C42—102no—
1453C42—102no—
1454C42—102no—
1455C42—102no—
1456C42—102no—
1457C42—102no—
1458C42—102no—
1459C42—201no—
1460C2×C5—24no—
1461C2×C5C2×#52511yescharacteristic
1462C2×C5C2×#52911yescharacteristic
1463C2×C5#345911yescharacteristic
1464C2×C5C2×#54611yescharacteristic
1465C2×C5D4×#4111yescharacteristic
1466C2×C5#347511yescharacteristic
1467C2×C5#348111yescharacteristic
1468D5—24no—
1469D5—42no—
1470D5—42no—
1471D5—42no—
1472D5—81no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—52no—
1478C23—52no—
1479C23—52no—
1480C23—52no—
1481C23—52no—
1482C23—52no—
1483C23—108no—
1484C23—108no—
1485C23—101no—
1486C23—101no—
1487C23—101no—
1488C23—101no—
1489C23—101no—
1490C23—101no—
1491C23—101no—
1492C23—101no—
1493C23—101no—
1494C23—101no—
1495C23—101no—
1496C23—101no—
1497C23—101no—
1498C23—101no—
1499C23—101no—
1500C23—101no—
1501C23—108no—
1502C23—101no—
1503C23—101no—
1504C23—101no—
1505C23—101no—
1506C23—101no—
1507C23—101no—
1508C23—101no—
1509C23—101no—
1510C23—101no—
1511C23—101no—
1512C23—101no—
1513C23—101no—
1514C23—101no—
1515C23—204no—
1516C23—204no—
1517C23—204no—
1518C23—204no—
1519C23—204no—
1520C23—204no—
1521C23—204no—
1522C23—204no—
1523C23—204no—
1524C23—204no—
1525C23—204no—
1526C23C2×#71312yes—
1527C23D5×#4112yes—
1528C23D5×#4112yes—
1529C23C24×D511yescharacteristic
1530Q8—204no—
1531D4—108no—
1532D4—108no—
1533D4—108no—
1534D4—108no—
1535D4—204no—
1536D4—204no—
1537D4—204no—
1538D4—204no—
1539D4—204no—
1540C2×C4—28no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—52no—
1580C2×C4—52no—
1581C2×C4—52no—
1582C2×C4—52no—
1583C2×C4—52no—
1584C2×C4—108no—
1585C2×C4—108no—
1586C2×C4—108no—
1587C2×C4—101no—
1588C2×C4—101no—
1589C2×C4—101no—
1590C2×C4—101no—
1591C2×C4—101no—
1592C2×C4—101no—
1593C2×C4—101no—
1594C2×C4—101no—
1595C2×C4—101no—
1596C2×C4—101no—
1597C2×C4—101no—
1598C2×C4—101no—
1599C2×C4—101no—
1600C2×C4—101no—
1601C2×C4—101no—
1602C2×C4—101no—
1603C2×C4—101no—
1604C2×C4—101no—
1605C2×C4—101no—
1606C2×C4—101no—
1607C2×C4—101no—
1608C2×C4—101no—
1609C2×C4—101no—
1610C2×C4—101no—
1611C2×C4—101no—
1612C2×C4—101no—
1613C2×C4—101no—
1614C2×C4—101no—
1615C2×C4—204no—
1616C2×C4—204no—
1617C2×C4—204no—
1618C2×C4—204no—
1619C2×C4—204no—
1620C2×C4—204no—
1621C2×C4—204no—
1622C2×C4—204no—
1623C2×C4—204no—
1624C2×C4—204no—
1625C2×C4—204no—
1626C2×C4—204no—
1627C2×C4C2×D4×D512yes—
1628C2×C4C2×D4×D512yes—
1629C2×C4C2×D4×D512yes—
1630C2×C4C2×#71312yes—
1631C2×C4C2×#71312yes—
1632C2×C4D5×#4112yes—
1633C5#3467011yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—54no—
1641C22—102no—
1642C22—102no—
1643C22—102no—
1644C22—102no—
1645C22—102no—
1646C22—102no—
1647C22—102no—
1648C22—102no—
1649C22—102no—
1650C22—102no—
1651C22—102no—
1652C22—102no—
1653C22—102no—
1654C22—102no—
1655C22—102no—
1656C22—2016no—
1657C22—2016no—
1658C22—201no—
1659C22—201no—
1660C22—201no—
1661C22—201no—
1662C22—201no—
1663C22—201no—
1664C22—201no—
1665C22—201no—
1666C22—201no—
1667C22—201no—
1668C22—201no—
1669C22—201no—
1670C22—201no—
1671C22—201no—
1672C22—201no—
1673C22—201no—
1674C22—201no—
1675C22—201no—
1676C22—201no—
1677C22#6602514yescomplemented
1678C22C22×D4×D511yescharacteristic
1679C22C22×#71311yescharacteristic
1680C22C2×D5×#4111yescharacteristic
1681C22C2×D5×#4111yescharacteristic
1682C22C2×D5×#4111yescharacteristic
1683C22D5×H(5,𝔽2)11yescharacteristic
1684C22#6628711yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—54no—
1700C4—102no—
1701C4—102no—
1702C4—201no—
1703C4—201no—
1704C4—201no—
1705C4—201no—
1706C4—201no—
1707C4—201no—
1708C4—201no—
1709C4—201no—
1710C2—24no—
1711C2—104no—
1712C2—202no—
1713C2—202no—
1714C2—202no—
1715C2—401no—
1716C2D5×#52511yescharacteristic
1717C2C2×#6602511yescharacteristic
1718C2#1061832911yescharacteristic
1719C2D5×#54611yescharacteristic
1720C2D4×#71311yescharacteristic
1721C2#1061872711yescharacteristic
1722C2#1061882511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2473C2
prime radical#10606332C2
hypercenter#2473D5
hypocenterC5#34670
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×#66025C2semidirect
2. C22×#4039C2semidirect
3. C5×#2473C2semidirect
4. #10614790C2semidirect
5. #10613906C2semidirect
6. #10610074C2semidirect
7. #10609862C2semidirect
8. #10609684C2semidirect
9. #10609679C2semidirect
10. #10609678C2semidirect
11. #10609469C2semidirect
12. #10609468C2semidirect
13. #10609468C2semidirect
14. #10607750C2semidirect
15. #10607695C2semidirect
16. #10607057C2semidirect
17. #10606732C2semidirect
18. #10606671C2semidirect
19. #10606668C2semidirect
21. #10606330C2semidirect
22. #10606183C2semidirect
23. #10606144C2semidirect
24. #10606112C2semidirect
25. #10606110C2semidirect
26. #10606110C2semidirect
27. #10606108C2semidirect
28. #10605749C2semidirect
29. #10605593C2semidirect
30. #10605325C2semidirect
31. C4×D5×C22⋊C4C2semidirect
35. C2×C5×#125C22semidirect
41. C2×#4044C22semidirect
42. C2×#4044C22semidirect
43. C2×#4043C22semidirect
48. C2×#4040C22semidirect
58. C2×#4039C22semidirect
59. C2×#4039C22semidirect
60. C2×#4039C22semidirect
61. C2×#4039C22semidirect
62. C2×#4038C22semidirect
63. C2×#4038C22semidirect
64. C2×#4038C22semidirect
65. C2×#4033C22semidirect
72. C2×#4021C22semidirect
73. C2×C42×D5C22semidirect
74. C2×C42×D5C22semidirect
75. C5×#400C22semidirect
76. C5×#398C22semidirect
77. C5×#398C22semidirect
78. C5×#398C22semidirect
79. C5×#389C22semidirect
80. C5×#387C22semidirect
81. C5×#387C22semidirect
94. #65283C22semidirect
95. #65283C22semidirect
96. #65283C22semidirect
97. #65283C22semidirect
98. #65282C22semidirect
99. #65282C22semidirect
100. #65282C22semidirect
105. #65280C22semidirect
106. #65279C22semidirect
107. #65279C22semidirect
108. #65279C22semidirect
109. #65278C22semidirect
110. #65278C22semidirect
111. #65278C22semidirect
112. #65278C22semidirect
113. #65278C22semidirect
114. #65276C22semidirect
115. #65276C22semidirect
116. #65276C22semidirect
117. #65275C22semidirect
118. #65271C22semidirect
119. #65270C22semidirect
120. #65267C22semidirect
121. #65267C22semidirect
122. #65267C22semidirect
123. C4⋊C4×Dic5C22semidirect
124. C4⋊C4×Dic5C22semidirect
125. #65261C22semidirect
136. #65229C22semidirect
137. #65229C22semidirect
138. #65228C22semidirect
139. C4×#685C22semidirect
140. C4×#685C22semidirect
141. #64966C22semidirect
142. #64964C22semidirect
143. #64964C22semidirect
144. #64963C22semidirect
145. #64963C22semidirect
146. #64962C22semidirect
147. #64962C22semidirect
150. #64961C22semidirect
151. #64961C22semidirect
152. #64961C22semidirect
155. #64959C22semidirect
156. #64959C22semidirect
157. #64958C22semidirect
158. #64957C22semidirect
159. #64957C22semidirect
160. #64955C22semidirect
161. #64955C22semidirect
162. #64955C22semidirect
163. #64955C22semidirect
164. #64955C22semidirect
165. #64955C22semidirect
166. #64955C22semidirect
167. #64955C22semidirect
168. #64955C22semidirect
173. #64954C22semidirect
174. #64954C22semidirect
175. #64954C22semidirect
176. #64954C22semidirect
177. #64954C22semidirect
178. #64953C22semidirect
179. #64953C22semidirect
180. #64953C22semidirect
181. D5×#95C22semidirect
182. D5×#95C22semidirect
183. #64944C22semidirect
184. #64942C22semidirect
185. #64938C22semidirect
186. #64938C22semidirect
187. #64937C22semidirect
188. #64935C22semidirect
342. #4039D4semidirect
396. #2473D5semidirect
650. C2×#125C2×D5semidirect
689. #400C2×D5semidirect
691. #398C2×D5semidirect
692. #398C2×D5semidirect
693. #398C2×D5semidirect
722. #389C2×D5semidirect
737. #387C2×D5semidirect
738. #387C2×D5semidirect
1169. C22×C5#529semidirect
1633. C5#34670semidirect
1677. C22#66025semidirect

Maximal subgroups

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

subgroupindex
C2×#660252
C22×#40392
C5×#24732
#106147902
#106139062
#106100742
#106098622
#106096842
#106096792
#106096782
#106094692
#106094682
#106077502
#106076952
#106070572
#106067322
#106066712
#106066682
#106063322
#106063302
#106061832
#106061442
#106061122
#106061102
#106061082
#106057492
#106055932
#106053252
C4×D5×C22⋊C42
#346705