Finite Group Databasebeta

← #12258362

Subgroups — #12258362

Order 1280.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66038C211yesmaximal, characteristic
2C5×#2334C211yesmaximal, characteristic, complemented
3Dic5×#126C211yesmaximal, characteristic, complemented
4#10607930C211yesmaximal, characteristic, complemented
5#10607706C211yesmaximal, characteristic, complemented
6#10607695C211yesmaximal, characteristic, complemented
7#10607695C211yesmaximal, characteristic, complemented
8#10607558C211yesmaximal, characteristic, complemented
9#10607557C211yesmaximal, characteristic, complemented
10#10607556C211yesmaximal, characteristic, complemented
11#10607185C211yesmaximal, characteristic, complemented
12#10607184C211yesmaximal, characteristic, complemented
13#10607183C211yesmaximal, characteristic, complemented
14#10607029C211yesmaximal, characteristic, complemented
15#10606683C211yesmaximal, characteristic, complemented
16#10606676C211yesmaximal, characteristic, complemented
17#10606673C211yesmaximal, characteristic, complemented
18#10606672C211yesmaximal, characteristic, complemented
19#10606671C211yesmaximal, characteristic, complemented
20#10606122C211yesmaximal, characteristic, complemented
21#10606121C211yesmaximal, characteristic, complemented
22#10606110C211yesmaximal, characteristic, complemented
23#10606110C211yesmaximal, characteristic, complemented
24#10605957C211yesmaximal, characteristic, complemented
25#10605880C211yesmaximal, characteristic, complemented
26#10605496C211yesmaximal, characteristic, complemented
27#10605363C211yesmaximal, characteristic, complemented
28C4×#4039C211yesmaximal, characteristic, complemented
29C4×#4039C211yesmaximal, characteristic, complemented
30#10605301C211yesmaximal, characteristic, complemented
31C4×D5×C22⋊C4C211yesmaximal, characteristic, complemented
32C23×C4×D5C2211yescharacteristic
33C2×C5×#126C2211yescharacteristic
34#66038C4116yescomplemented
35C2×#4044C2211yescharacteristic
36C2×#4042C2211yescharacteristic
37C2×#4041C2211yescharacteristic
38C2×#4041C2211yescharacteristic
39C2×#4040C2211yescharacteristic
40C2×#4039C2211yescharacteristic
41C2×#4039C2211yescharacteristic
42C2×#4039C2211yescharacteristic
43C2×#4039C2211yescharacteristic
44C2×#4039C2211yescharacteristic
45C2×#4039C2211yescharacteristic
46C2×#4039C2211yescharacteristic, complemented
47C2×#4033C2211yescharacteristic, complemented
48C2×#4031C2211yescharacteristic
49C2×#4030C2211yescharacteristic
50C2×#4029C2211yescharacteristic
51C2×#4028C2211yescharacteristic
52C2×#4028C2211yescharacteristic
53C2×#4027C2211yescharacteristic
54C2×#4027C2211yescharacteristic
55C2×D5×C22⋊C4C2211yescharacteristic
56C2×D5×C22⋊C4C2211yescharacteristic
57C2×#4021C2211yescharacteristic
58C2×C4×D20C2211yescharacteristic
59C2×C4×D20C2211yescharacteristic
60C2×C42×D5C2211yescharacteristic
61C2×C42×D5C2211yescharacteristic
62C2×C42×D5C2211yescharacteristic, complemented
63C2×C42×D5C2211yescharacteristic, complemented
64C5×#389C2211yescharacteristic, complemented
65C5×#389C2211yescharacteristic, complemented
66C5×#388C2211yescharacteristic
67C5×#388C2211yescharacteristic
68C5×#388C2211yescharacteristic
69C5×#387C2211yescharacteristic, complemented
70C5×#387C2211yescharacteristic, complemented
71C5×#387C2211yescharacteristic, complemented
72C5×#385C2211yescharacteristic
73C5×#385C2211yescharacteristic
74C5×#382C2211yescharacteristic, complemented
75C4×C5×C4⋊C4C2211yescharacteristic, complemented
76C4×C5×C4⋊C4C2211yescharacteristic, complemented
77C4×C5×C22⋊C4C2211yescharacteristic
78#65502C2211yescharacteristic
79#65502C2211yescharacteristic
80C4×C22⋊Dic5C2211yescharacteristic
81#65279C2211yescharacteristic
82#65279C2211yescharacteristic
83#65279C2211yescharacteristic, complemented
84#65279C2211yescharacteristic, complemented
85#65279C2211yescharacteristic, complemented
86#65279C2211yescharacteristic, complemented
87#65278C2211yescharacteristic
88#65278C2211yescharacteristic
89#65278C2211yescharacteristic
90#65278C2211yescharacteristic
91#65278C2211yescharacteristic
92#65278C2211yescharacteristic, complemented
93#65277C2211yescharacteristic
94#65276C2211yescharacteristic
95#65276C2211yescharacteristic, complemented
96#65270C2211yescharacteristic, complemented
97#65270C2211yescharacteristic, complemented
98#65270C2211yescharacteristic, complemented
99#65267C2211yescharacteristic, complemented
100C4⋊C4×Dic5C2211yescharacteristic, complemented
101C4⋊C4×Dic5C2211yescharacteristic, complemented
102C4⋊C4×Dic5C2211yescharacteristic, complemented
103C4⋊C4×Dic5C2211yescharacteristic, complemented
104C4⋊C4×Dic5C2211yescharacteristic, complemented
105C4⋊C4×Dic5C2211yescharacteristic, complemented
106#65263C2211yescharacteristic, complemented
107#65261C2211yescharacteristic, complemented
108#65246C2211yescharacteristic
109#65246C2211yescharacteristic
110#65245C2211yescharacteristic
111#65245C2211yescharacteristic
112#65244C2211yescharacteristic
113#65244C2211yescharacteristic
114#65240C2211yescharacteristic
115#65240C2211yescharacteristic
116#65240C2211yescharacteristic
117#65234C2211yescharacteristic
118#65233C2211yescharacteristic
119C22⋊C4×Dic5C2211yescharacteristic
120C22⋊C4×Dic5C2211yescharacteristic
121C22⋊C4×Dic5C2211yescharacteristic
122C22⋊C4×Dic5C2211yescharacteristic
123#65229C2211yescharacteristic
124#65229C2211yescharacteristic
125#65229C2211yescharacteristic, complemented
126#65229C2211yescharacteristic, complemented
127#65228C2211yescharacteristic
128#65228C2211yescharacteristic, complemented
129C4×#685C2211yescharacteristic
130C4×#685C2211yescharacteristic
131C4×#685C2211yescharacteristic
132C4×#685C2211yescharacteristic
133C4×#685C2211yescharacteristic, complemented
134C4×#685C2211yescharacteristic, complemented
135#65226C2211yescharacteristic, complemented
136#65222C2211yescharacteristic, complemented
137#65222C2211yescharacteristic, complemented
138C42×Dic5C2211yescharacteristic, complemented
139C42×Dic5C2211yescharacteristic, complemented
140#64959C2211yescharacteristic
141#64959C2211yescharacteristic
142#64958C2211yescharacteristic
143#64958C2211yescharacteristic
144#64958C2211yescharacteristic, complemented
145#64958C2211yescharacteristic, complemented
146#64957C2211yescharacteristic
147#64957C2211yescharacteristic, complemented
148#64956C2211yescharacteristic
149#64956C2211yescharacteristic, complemented
150#64955C2211yescharacteristic
151#64955C2211yescharacteristic
152#64955C2211yescharacteristic
153#64955C2211yescharacteristic
154#64955C2211yescharacteristic
155#64955C2211yescharacteristic
156#64955C2211yescharacteristic
157#64955C2211yescharacteristic
158#64955C2211yescharacteristic, complemented
159#64955C2211yescharacteristic, complemented
160#64955C2211yescharacteristic, complemented
161#64955C2211yescharacteristic, complemented
162#64955C2211yescharacteristic, complemented
163#64955C2211yescharacteristic, complemented
164#64954C2211yescharacteristic
165#64954C2211yescharacteristic
166#64954C2211yescharacteristic
167#64954C2211yescharacteristic
168#64954C2211yescharacteristic
169#64954C2211yescharacteristic
170#64954C2211yescharacteristic
171#64954C2211yescharacteristic
172#64954C2211yescharacteristic, complemented
173#64954C2211yescharacteristic, complemented
174#64953C2211yescharacteristic, complemented
175#64953C2211yescharacteristic, complemented
176D5×#95C2211yescharacteristic
177D5×#95C2211yescharacteristic
178#64944C2211yescharacteristic, complemented
179#64942C2211yescharacteristic, complemented
180#64942C2211yescharacteristic, complemented
181#64940C2211yescharacteristic, complemented
182#64939C2211yescharacteristic, complemented
183#64938C2211yescharacteristic, complemented
184#64938C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#64935C2211yescharacteristic, complemented
188C4×#538—51nomaximal, Sylow
189C24×D5C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C22×C22⋊D5C2311yescharacteristic
192C22×C22⋊D5C2311yescharacteristic
193C23×Dic5C2311yescharacteristic
194C22×D20C2311yescharacteristic
195C22×D20C2311yescharacteristic
196C22×D20C2311yescharacteristic
197C22×D20C2311yescharacteristic
198C22×D20C2311yescharacteristic
199C22×C4×D5—24no—
200C22×C4×D5—42no—
201C22×C4×D5—42no—
202C22×C4×D5C2311yescharacteristic
203C22×C4×D5C2311yescharacteristic
204C22×C4×D5C2311yescharacteristic
205C22×C4×D5C2311yescharacteristic
206C22×C4×D5C2311yescharacteristic
207C22×C4×D5C2311yescharacteristic
208C22×C4×D5C2311yescharacteristic
209C22×C4×D5C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×C4×D5C2311yescharacteristic
212C22×C4×D5C2311yescharacteristic
213C22×C4×D5C2311yescharacteristic
214C22×C4×D5C2311yescharacteristic
215C22×C4×D5C2311yescharacteristic
216C22×Dic10C2311yescharacteristic
217C5×#126C2×C418yescomplemented
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C4⋊C4C2311yescharacteristic
224C2×C5×C4⋊C4C2311yescharacteristic
225C2×C5×C4⋊C4C2311yescharacteristic
226C2×C5×C4⋊C4C2311yescharacteristic
227C2×C5×C4⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C5×C22⋊C4C2311yescharacteristic
230C2×C5×C22⋊C4C2311yescharacteristic
231C2×C5×C22⋊C4C2311yescharacteristic
232C2×C5×C22⋊C4C2311yescharacteristic
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C42×C5C2311yescharacteristic
235C2×C42×C5C2311yescharacteristic
236C2×C42×C5C2311yescharacteristic
237C2×C42×C5C2311yescharacteristic
238C2×C42×C5C2311yescharacteristic
239C2×C42×C5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×#685C2311yescharacteristic
245C2×#685C2311yescharacteristic
246C2×#685C2311yescharacteristic
247C2×#685C2311yescharacteristic
248C2×#685C2311yescharacteristic
249C2×#685C2311yescharacteristic
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#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×C4⋊Dic5C2311yescharacteristic
277C2×C4⋊Dic5C2311yescharacteristic
278C2×C4⋊Dic5C2311yescharacteristic
279C2×C4⋊Dic5C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×C4×Dic5C2311yescharacteristic
289C2×C4×Dic5C2311yescharacteristic
290C2×C4×Dic5C2311yescharacteristic
291C2×C4×Dic5C2311yescharacteristic
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
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2311yescharacteristic
305C2×C4×Dic5C2311yescharacteristic
306C2×C4×Dic5C2311yescharacteristic
307C2×C4×Dic5C2311yescharacteristic
308#4044C2×C418yescomplemented
309#4042C2×C418yescomplemented
310#4041C2×C418yescomplemented
311#4041C2×C418yescomplemented
312#4040C2×C418yescomplemented
313#4039—24no—
314#4039—24no—
315#4039—24no—
316#4039—42no—
317#4039—42no—
318#4039—42no—
319#4039C2×C418yescomplemented
320#4033—42no—
321#4031C2×C418yescomplemented
322#4030C2×C418yescomplemented
323#4029C2×C418yescomplemented
324#4028C2×C418yescomplemented
325#4028C2×C418yescomplemented
326#4027—42no—
327#4027—42no—
328D5×C22⋊C4—24no—
329D5×C22⋊C4C2×C418yescomplemented
330#4021C2×C418yescomplemented
331C4×D20—24no—
332C4×D20C2×C418yescomplemented
333C42×D5—42no—
334C42×D5—42no—
335C42×D5—42no—
336C42×D5—42no—
337C5×#95C2311yescharacteristic
338C5×#95C2311yescharacteristic
339C5×#95C2311yescharacteristic
340C5×#95C2311yescharacteristic
341C5×#95C2311yescharacteristic
342C5×#95C2311yescharacteristic
343C5×#95C2311yescharacteristic
344C5×#95C2311yescharacteristic
345C5×#95C2311yescharacteristic
346C5×#95C2311yescharacteristic
347C5×#95C2311yescharacteristic
348C5×#95C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377C2×#538—51no—
378#2337—51no—
379#2337—51no—
380#2335—51no—
381#2335—51no—
382#2334—51no—
383#2334D511yescharacteristic, complemented
384#2333—51no—
385#2333—51no—
386#2329—51no—
387#2325—51no—
388#2321—51no—
389#2321—51no—
390#2318—51no—
391#2318—51no—
392#2312—51no—
393C4×#126—51no—
394C4×#126—51no—
395C4×#124—51no—
396C4×#124—51no—
397C4×C22⋊Q8—51no—
398C4×#123—51no—
399C4×#123—51no—
400C4×#121—51no—
401C4×#121—51no—
402C4×#121—51no—
403C4×#120—51no—
404C4×#120—51no—
405C42×D4—51no—
406C42×D4—51no—
407C2×C4×C22⋊C4—51no—
408C24×C5C2411yescharacteristic
409C23×D5—22no—
410C23×D5—22no—
411C23×D5—41no—
412C23×D5—41no—
413C23×D5—41no—
414C23×D5—41no—
415C23×D5C22×C414yes—
416C23×D5C2411yescharacteristic
417C23×D5C2411yescharacteristic
418C23×D5C2411yescharacteristic
419C23×D5C2411yescharacteristic
420C22×C4×C5—22no—
421C22×C4×C5—41no—
422C22×C4×C5—41no—
423C22×C4×C5C2411yescharacteristic
424C22×C4×C5C2411yescharacteristic
425C22×C4×C5C2411yescharacteristic
426C22×C4×C5C2411yescharacteristic
427C22×C4×C5C2411yescharacteristic
428C22×C4×C5C2411yescharacteristic
429C22×C4×C5C2411yescharacteristic
430C22×C4×C5C2411yescharacteristic
431C22×C4×C5C2411yescharacteristic
432C22×C4×C5C2411yescharacteristic
433C22×C4×C5C2411yescharacteristic
434C22×C4×C5C2411yescharacteristic
435C22×C4×C5C2411yescharacteristic
436C22×C4×C5C2411yescharacteristic
437C2×C22⋊D5—41no—
438C2×C22⋊D5—41no—
439C2×C22⋊D5—41no—
440C2×C22⋊D5—41no—
441C2×C22⋊D5C22×C414yes—
442C2×C22⋊D5C22×C414yes—
443C22×Dic5—22no—
444C22×Dic5—22no—
445C22×Dic5—22no—
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×D20—22no—
459C2×D20—22no—
460C2×D20—22no—
461C2×D20—22no—
462C2×D20—41no—
463C2×D20—41no—
464C2×D20—41no—
465C2×D20—41no—
466C2×D20—41no—
467C2×D20—41no—
468C2×D20C22×C414yes—
469C2×D20C22×C414yes—
470C2×D20C22×C414yes—
471C2×D20C22×C414yes—
472C2×D20C22×C414yescomplemented
473C2×C4×D5—22no—
474C2×C4×D5—22no—
475C2×C4×D5—22no—
476C2×C4×D5—22no—
477C2×C4×D5—22no—
478C2×C4×D5—22no—
479C2×C4×D5—22no—
480C2×C4×D5—22no—
481C2×C4×D5—22no—
482C2×C4×D5—22no—
483C2×C4×D5—22no—
484C2×C4×D5—22no—
485C2×C4×D5—22no—
486C2×C4×D5—22no—
487C2×C4×D5—22no—
488C2×C4×D5—22no—
489C2×C4×D5—416no—
490C2×C4×D5—41no—
491C2×C4×D5—41no—
492C2×C4×D5—41no—
493C2×C4×D5—41no—
494C2×C4×D5—41no—
495C2×C4×D5—41no—
496C2×C4×D5—41no—
497C2×C4×D5—41no—
498C2×C4×D5—41no—
499C2×C4×D5—41no—
500C2×C4×D5—41no—
501C2×C4×D5—41no—
502C2×C4×D5—41no—
503C2×C4×D5—41no—
504C2×C4×D5—41no—
505C2×C4×D5—41no—
506C2×C4×D5—41no—
507C2×C4×D5—41no—
508C2×C4×D5—41no—
509C2×C4×D5—41no—
510C2×C4×D5C22×C414yes—
511C2×C4×D5C22×C414yes—
512C2×C4×D5C22×C414yescomplemented
513C2×C4×D5C22×C414yescomplemented
514C2×C4×D5#4114yes—
515C2×C4×D5#4114yes—
516C2×Dic10—41no—
517C2×Dic10—41no—
518C2×Dic10C22×C414yescomplemented
519C5×C4⋊C4—22no—
520C5×C4⋊C4—22no—
521C5×C4⋊C4—22no—
522C5×C4⋊C4—41no—
523C5×C4⋊C4—41no—
524C5×C4⋊C4—41no—
525C5×C4⋊C4—41no—
526C5×C4⋊C4C22×C414yescomplemented
527C5×C4⋊C4C22×C414yescomplemented
528C5×C4⋊C4C22×C414yescomplemented
529C5×C22⋊C4—22no—
530C5×C22⋊C4—41no—
531C5×C22⋊C4—41no—
532C5×C22⋊C4C22×C414yes—
533C5×C22⋊C4C22×C414yes—
534C5×C22⋊C4C22×C414yes—
535C42×C5—22no—
536C42×C5—41no—
537C42×C5—41no—
538C42×C5—41no—
539C42×C5—41no—
540C42×C5C22×C414yescomplemented
541C22⋊Dic5—22no—
542C22⋊Dic5—41no—
543C22⋊Dic5—41no—
544C22⋊Dic5C22×C414yes—
545#685—22no—
546#685—22no—
547#685—22no—
548#685—22no—
549#685—22no—
550#685—22no—
551#685—22no—
552#685—22no—
553#685—22no—
554#685—22no—
555#685—41no—
556#685—41no—
557#685—41no—
558#685—41no—
559#685—41no—
560#685—41no—
561#685—41no—
562#685—41no—
563#685—41no—
564#685—41no—
565#685—41no—
566#685—41no—
567#685C22×C414yes—
568#685C22×C414yes—
569#685C22×C414yes—
570#685C22×C414yes—
571#685C22×C414yes—
572#685C22×C414yes—
573#685C22×C414yescomplemented
574#685C22×C414yescomplemented
575#685C22×C414yescomplemented
576#685C22×C414yescomplemented
577C4⋊Dic5—22no—
578C4⋊Dic5—41no—
579C4⋊Dic5—41no—
580C4⋊Dic5C22×C414yescomplemented
581#683—41no—
582#683—41no—
583#683—41no—
584#683—41no—
585#683—41no—
586#683—41no—
587#683C22×C414yescomplemented
588#683C22×C414yescomplemented
589C4×Dic5—22no—
590C4×Dic5—22no—
591C4×Dic5—22no—
592C4×Dic5—22no—
593C4×Dic5—22no—
594C4×Dic5—22no—
595C4×Dic5—22no—
596C4×Dic5—22no—
597C4×Dic5—22no—
598C4×Dic5—22no—
599C4×Dic5—22no—
600C4×Dic5—41no—
601C4×Dic5—41no—
602C4×Dic5—41no—
603C4×Dic5—41no—
604C4×Dic5—41no—
605C4×Dic5—41no—
606C4×Dic5—41no—
607C4×Dic5—41no—
608C4×Dic5C22×C414yescomplemented
609C24×C4—51no—
610#538—516no—
611C2×#126—51no—
612C2×#126C2×D511yescharacteristic
613C2×#124—51no—
614C2×#124—51no—
615C2×#123—51no—
616C2×#123—51no—
617C2×C22⋊Q8—51no—
618C2×#121—51no—
619C2×#121—51no—
620C2×#121—51no—
621C2×#120—51no—
622C2×#120—51no—
623C2×C4×Q8—51no—
624C2×C4×D4—51no—
625C2×C4×D4—51no—
626C2×C4×D4—51no—
627C2×C4×D4—51no—
628C2×C4×D4—51no—
629C2×C4×D4—51no—
630C2×C4×D4—51no—
631C2×C4×D4—51no—
632C2×C4×D4—51no—
633C2×C4×D4—51no—
634C2×C4×D4—51no—
635C22×C22⋊C4—51no—
636C22×C22⋊C4—51no—
637C22×C42—51no—
638C22×C42—51no—
639C22×C42—51no—
640C22×C42—51no—
641#391—51no—
642#391—51no—
643#391—51no—
644#390—51no—
645#390—51no—
646#390—51no—
647#390—51no—
648#390—51no—
649#389—51no—
650#389—51no—
651#389C2×D511yescharacteristic, complemented
652#389C2×D511yescharacteristic, complemented
653#388—51no—
654#388—51no—
655#388—51no—
656#388—51no—
657#388—51no—
658#388—51no—
659#388—51no—
660#388—51no—
661#388—51no—
662#388—51no—
663#388—51no—
664#388—51no—
665#388—51no—
666#388—51no—
667#388—51no—
668#388—51no—
669#388—51no—
670#388—51no—
671#388—51no—
672#388—51no—
673#388—51no—
674#388C2×D511yescharacteristic
675#388C2×D511yescharacteristic
676#388C2×D511yescharacteristic
677#387—51no—
678#387—51no—
679#387—51no—
680#387—51no—
681#387—51no—
682#387—51no—
683#387—51no—
684#387—51no—
685#387—51no—
686#387C2×D511yescharacteristic, complemented
687#387C2×D511yescharacteristic, complemented
688#387C2×D511yescharacteristic, complemented
689#386—51no—
690#386—51no—
691#386—51no—
692#386—51no—
693#386—51no—
694#386—51no—
695#386—51no—
696#386—51no—
697#386—51no—
698#386—51no—
699#386—51no—
700#386—51no—
701#386—51no—
702#386—51no—
703#385—51no—
704#385—51no—
705#385—51no—
706#385—51no—
707#385—51no—
708#385—51no—
709#385—51no—
710#385—51no—
711#385C2×D511yescharacteristic
712#385C2×D511yescharacteristic
713#383—51no—
714#383—51no—
715#382—51no—
716#382C2×D511yescharacteristic, complemented
717#381—51no—
718#381—51no—
719#380—51no—
720#380—51no—
721#380—51no—
722#380—51no—
723#379—51no—
724#379—51no—
725C4×C4⋊C4—51no—
726C4×C4⋊C4—51no—
727C4×C4⋊C4—51no—
728C4×C4⋊C4—51no—
729C4×C4⋊C4—51no—
730C4×C4⋊C4—51no—
731C4×C4⋊C4—51no—
732C4×C4⋊C4—51no—
733C4×C4⋊C4C2×D511yescharacteristic, complemented
734C4×C4⋊C4C2×D511yescharacteristic, complemented
735C4×C22⋊C4—51no—
736C4×C22⋊C4—51no—
737C4×C22⋊C4—51no—
738C4×C22⋊C4—51no—
739C4×C22⋊C4—51no—
740C4×C22⋊C4—51no—
741C4×C22⋊C4—51no—
742C4×C22⋊C4—51no—
743C4×C22⋊C4—51no—
744C4×C22⋊C4—51no—
745C4×C22⋊C4—51no—
746C4×C22⋊C4—51no—
747C4×C22⋊C4—51no—
748C4×C22⋊C4—51no—
749C4×C22⋊C4—51no—
750C4×C22⋊C4—51no—
751C4×C22⋊C4—51no—
752C4×C22⋊C4—51no—
753C4×C22⋊C4—51no—
754C4×C22⋊C4—51no—
755C4×C22⋊C4—51no—
756C4×C22⋊C4—51no—
757C4×C22⋊C4—51no—
758C4×C22⋊C4—51no—
759C4×C22⋊C4—51no—
760C4×C22⋊C4C2×D511yescharacteristic
761C2×#95—51no—
762C2×#95—51no—
763C43—51no—
764C43—51no—
765C23×C5—21no—
766C23×C5—21no—
767C23×C5—21no—
768C23×C5—21no—
769C23×C5—21no—
770C23×C5—21no—
771C23×C5C23×C412yes—
772C23×C5C2511yescharacteristic
773C22×D5—21no—
774C22×D5—21no—
775C22×D5—21no—
776C22×D5—21no—
777C22×D5—21no—
778C22×D5—21no—
779C22×D5—21no—
780C22×D5—21no—
781C22×D5—21no—
782C22×D5—21no—
783C22×D5—21no—
784C22×D5—21no—
785C22×D5—21no—
786C22×D5—21no—
787C22×D5—21no—
788C22×D5—21no—
789C22×D5—21no—
790C22×D5—21no—
791C22×D5—21no—
792C22×D5—21no—
793C22×D5—21no—
794C22×D5—21no—
795C22×D5—28no—
796C22×D5—44no—
797C22×D5—44no—
798C22×D5—44no—
799C22×D5—44no—
800C22×D5—44no—
801C22×D5—44no—
802C22×D5C23×C412yes—
803C22×D5C23×C412yes—
804C22×D5C23×C412yes—
805C22×D5C23×C412yes—
806C22×D5C2×#4112yes—
807C22×D5C2×#4112yes—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—21no—
829C2×C4×C5—21no—
830C2×C4×C5—21no—
831C2×C4×C5—21no—
832C2×C4×C5—21no—
833C2×C4×C5—21no—
834C2×C4×C5—21no—
835C2×C4×C5—21no—
836C2×C4×C5—21no—
837C2×C4×C5—21no—
838C2×C4×C5—21no—
839C2×C4×C5—21no—
840C2×C4×C5—21no—
841C2×C4×C5—21no—
842C2×C4×C5—44no—
843C2×C4×C5C23×C412yes—
844C2×C4×C5C23×C412yes—
845C2×C4×C5C23×C412yes—
846C2×C4×C5C23×C412yes—
847C2×C4×C5C23×C412yes—
848C2×C4×C5C23×C412yes—
849C2×C4×C5C2×#4112yes—
850C2×C4×C5C2×#4112yes—
851C22⋊D5—44no—
852C22⋊D5—44no—
853C2×Dic5—21no—
854C2×Dic5—21no—
855C2×Dic5—21no—
856C2×Dic5—21no—
857C2×Dic5—21no—
858C2×Dic5—21no—
859C2×Dic5—21no—
860C2×Dic5—21no—
861C2×Dic5—21no—
862C2×Dic5—21no—
863C2×Dic5—21no—
864C2×Dic5—21no—
865C2×Dic5—21no—
866C2×Dic5—21no—
867C2×Dic5—21no—
868C2×Dic5—21no—
869C2×Dic5—21no—
870C2×Dic5—21no—
871C2×Dic5—21no—
872C2×Dic5—21no—
873C2×Dic5—21no—
874C2×Dic5—21no—
875C2×Dic5—21no—
876C2×Dic5—21no—
877C2×Dic5—21no—
878C2×Dic5—21no—
879C2×Dic5—21no—
880C2×Dic5—21no—
881C2×Dic5—44no—
882C2×Dic5C23×C412yes—
883C2×Dic5C23×C412yes—
884C2×Dic5C23×C412yes—
885C2×Dic5C23×C412yes—
886C2×Dic5C2×#4112yes—
887C2×Dic5C2×#4112yes—
888C2×Dic5H(5,𝔽2)12yes—
889C2×Dic5H(5,𝔽2)12yes—
890D20—28no—
891D20—28no—
892D20—44no—
893D20—44no—
894D20—44no—
895C4×D5—28no—
896C4×D5—44no—
897C4×D5—44no—
898C4×D5—44no—
899C4×D5—44no—
900C4×D5—44no—
901C4×D5—44no—
902C4×D5—44no—
903C4×D5—44no—
904C4×D5—44no—
905C4×D5—44no—
906C4×D5—44no—
907C4×D5—44no—
908C4×D5—44no—
909Dic10—44no—
910C25—51no—
911C22×Q8—51no—
912C22×D4—51no—
913C22×D4—51no—
914C22×D4—51no—
915C22×D4—51no—
916C22×D4—51no—
917C22×D4—51no—
918C22×D4—51no—
919C23×C4—51no—
920C23×C4—51no—
921C23×C4—51no—
922C23×C4—51no—
923C23×C4—51no—
924C23×C4—51no—
925C23×C4—51no—
926C23×C4—51no—
927C23×C4—51no—
928C23×C4—51no—
929C23×C4—51no—
930C23×C4—51no—
931C23×C4—51no—
932C23×C4—51no—
933C23×C4—51no—
934C23×C4—104no—
935C23×C4—202no—
936C23×C4—202no—
937C23×C4C22×D511yescharacteristic
938#126—58no—
939#126C4×D518yescomplemented
940#124—58no—
941#124—58no—
942#123—58no—
943#123—58no—
944C22⋊Q8—58no—
945#121—58no—
946#121—58no—
947#121—58no—
948#120—58no—
949#120—58no—
950C4×Q8—202no—
951C4×D4—58no—
952C4×D4—58no—
953C4×D4—104no—
954C4×D4—104no—
955C4×D4—104no—
956C4×D4—104no—
957C4×D4—202no—
958C4×D4—202no—
959C4×D4—202no—
960C4×D4—202no—
961C4×D4—202no—
962C2×C4⋊C4—51no—
963C2×C4⋊C4—51no—
964C2×C4⋊C4—51no—
965C2×C4⋊C4—51no—
966C2×C4⋊C4—51no—
967C2×C4⋊C4—51no—
968C2×C4⋊C4—51no—
969C2×C4⋊C4—51no—
970C2×C4⋊C4—51no—
971C2×C4⋊C4—51no—
972C2×C4⋊C4—51no—
973C2×C4⋊C4—51no—
974C2×C4⋊C4C22×D511yescharacteristic
975C2×C4⋊C4C22×D511yescharacteristic
976C2×C4⋊C4C22×D511yescharacteristic
977C2×C4⋊C4C22×D511yescharacteristic
978C2×C4⋊C4C22×D511yescharacteristic
979C2×C4⋊C4C22×D511yescharacteristic
980C2×C4⋊C4C22×D511yescharacteristic
981C2×C4⋊C4C22×D511yescharacteristic
982C2×C4⋊C4C22×D511yescharacteristic
983C2×C4⋊C4C22×D511yescharacteristic
984C2×C22⋊C4—51no—
985C2×C22⋊C4—51no—
986C2×C22⋊C4—51no—
987C2×C22⋊C4—51no—
988C2×C22⋊C4—51no—
989C2×C22⋊C4—51no—
990C2×C22⋊C4—51no—
991C2×C22⋊C4—51no—
992C2×C22⋊C4—51no—
993C2×C22⋊C4—51no—
994C2×C22⋊C4—51no—
995C2×C22⋊C4—58no—
996C2×C22⋊C4—51no—
997C2×C22⋊C4—51no—
998C2×C22⋊C4—51no—
999C2×C22⋊C4—51no—
1000C2×C22⋊C4—51no—
1001C2×C22⋊C4—51no—
1002C2×C22⋊C4—51no—
1003C2×C22⋊C4—51no—
1004C2×C22⋊C4—51no—
1005C2×C22⋊C4—51no—
1006C2×C22⋊C4—51no—
1007C2×C22⋊C4—51no—
1008C2×C22⋊C4—51no—
1009C2×C22⋊C4—51no—
1010C2×C22⋊C4—51no—
1011C2×C22⋊C4—51no—
1012C2×C22⋊C4—51no—
1013C2×C22⋊C4—51no—
1014C2×C22⋊C4—51no—
1015C2×C22⋊C4—51no—
1016C2×C22⋊C4—51no—
1017C2×C22⋊C4—51no—
1018C2×C22⋊C4—51no—
1019C2×C22⋊C4—51no—
1020C2×C22⋊C4—51no—
1021C2×C22⋊C4—104no—
1022C2×C22⋊C4C22×D511yescharacteristic
1023C2×C22⋊C4C22×D511yescharacteristic
1024C2×C22⋊C4C22×D511yescharacteristic
1025C2×C22⋊C4C22×D511yescharacteristic
1026C2×C22⋊C4C22×D511yescharacteristic
1027C2×C22⋊C4C22×D511yescharacteristic
1028C2×C42—51no—
1029C2×C42—51no—
1030C2×C42—51no—
1031C2×C42—51no—
1032C2×C42—51no—
1033C2×C42—51no—
1034C2×C42—51no—
1035C2×C42—51no—
1036C2×C42—51no—
1037C2×C42—51no—
1038C2×C42—51no—
1039C2×C42—51no—
1040C2×C42—51no—
1041C2×C42—51no—
1042C2×C42—51no—
1043C2×C42—51no—
1044C2×C42—51no—
1045C2×C42—51no—
1046C2×C42—51no—
1047C2×C42—51no—
1048C2×C42—202no—
1049C2×C42—202no—
1050C2×C42—202no—
1051C2×C42—202no—
1052C2×C42C22×D511yescharacteristic
1053C2×C42C22×D511yescharacteristic
1054C2×C42C22×D511yescharacteristic
1055C2×C42C22×D511yescharacteristic
1056C2×C42C22×D511yescharacteristic
1057C2×C42C22×D511yescharacteristic
1058#95—51no—
1059#95—51no—
1060#95—51no—
1061#95—51no—
1062#95—51no—
1063#95—51no—
1064#95—51no—
1065#95—51no—
1066#95—51no—
1067#95—51no—
1068#95—51no—
1069#95—51no—
1070#95—51no—
1071#95—51no—
1072#95—51no—
1073#95—51no—
1074#95—51no—
1075#95—51no—
1076#95—51no—
1077#95—51no—
1078#95—51no—
1079#95—51no—
1080#95—51no—
1081#95—51no—
1082#95—51no—
1083#95—51no—
1084#95—51no—
1085#95—51no—
1086#95C22×D511yescharacteristic
1087#95C22×D511yescharacteristic
1088#95C22×D511yescharacteristic
1089#95C22×D511yescharacteristic
1090#95C22×D511yescharacteristic
1091#95C22×D511yescharacteristic
1092#95C22×D511yescharacteristic
1093#95C22×D511yescharacteristic
1094#95C22×D511yescharacteristic
1095#95C22×D511yescharacteristic
1096#95C22×D511yescharacteristic
1097#95C22×D511yescharacteristic
1098C22×C5—22no—
1099C22×C5—22no—
1100C22×C5—22no—
1101C22×C5—41no—
1102C22×C5—41no—
1103C22×C5—41no—
1104C22×C5—41no—
1105C22×C5C24×C411yescharacteristic
1106C22×C5C22×#4111yescharacteristic
1107C22×C5C22×#4111yescharacteristic
1108C22×C5C2×H(5,𝔽2)11yescharacteristic
1109C22×C5C2×H(5,𝔽2)11yescharacteristic
1110C22×C5#58511yescharacteristic
1111C22×C5#58511yescharacteristic
1112C2×D5—22no—
1113C2×D5—22no—
1114C2×D5—22no—
1115C2×D5—22no—
1116C2×D5—22no—
1117C2×D5—22no—
1118C2×D5—22no—
1119C2×D5—22no—
1120C2×D5—22no—
1121C2×D5—22no—
1122C2×D5—22no—
1123C2×D5—22no—
1124C2×D5—22no—
1125C2×D5—22no—
1126C2×D5—22no—
1127C2×D5—416no—
1128C2×D5—41no—
1129C2×D5—41no—
1130C2×D5—41no—
1131C2×D5—41no—
1132C2×D5—41no—
1133C2×D5—41no—
1134C2×D5—41no—
1135C2×D5—41no—
1136C2×D5—41no—
1137C2×D5—41no—
1138C2×D5—41no—
1139C2×D5—41no—
1140C2×D5C4×#4114yes—
1141C4×C5—22no—
1142C4×C5—22no—
1143C4×C5—22no—
1144C4×C5—22no—
1145C4×C5—22no—
1146C4×C5—22no—
1147C4×C5—22no—
1148C4×C5—22no—
1149C4×C5—41no—
1150C4×C5—41no—
1151C4×C5—41no—
1152C4×C5—41no—
1153C4×C5—41no—
1154C4×C5—41no—
1155Dic5—22no—
1156Dic5—22no—
1157Dic5—22no—
1158Dic5—22no—
1159Dic5—22no—
1160Dic5—41no—
1161Dic5—41no—
1162Dic5—41no—
1163Dic5—41no—
1164Dic5—41no—
1165Dic5—41no—
1166Dic5#53814yescomplemented
1167C24—51no—
1168C24—51no—
1169C24—51no—
1170C24—51no—
1171C24—54no—
1172C24—102no—
1173C24—102no—
1174C24—201no—
1175C24—201no—
1176C24—201no—
1177C24—201no—
1178C24C23×D511yescharacteristic
1179C2×Q8—54no—
1180C2×Q8—201no—
1181C2×Q8—201no—
1182C2×D4—54no—
1183C2×D4—54no—
1184C2×D4—54no—
1185C2×D4—54no—
1186C2×D4—54no—
1187C2×D4—54no—
1188C2×D4—54no—
1189C2×D4—102no—
1190C2×D4—102no—
1191C2×D4—102no—
1192C2×D4—102no—
1193C2×D4—201no—
1194C2×D4—201no—
1195C2×D4—201no—
1196C2×D4—201no—
1197C2×D4—201no—
1198C2×D4—201no—
1199C2×D4—201no—
1200C2×D4—201no—
1201C2×D4—201no—
1202C2×D4—201no—
1203C22×C4—22no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—51no—
1207C22×C4—51no—
1208C22×C4—51no—
1209C22×C4—51no—
1210C22×C4—51no—
1211C22×C4—51no—
1212C22×C4—54no—
1213C22×C4—54no—
1214C22×C4—54no—
1215C22×C4—54no—
1216C22×C4—54no—
1217C22×C4—54no—
1218C22×C4—51no—
1219C22×C4—51no—
1220C22×C4—51no—
1221C22×C4—51no—
1222C22×C4—51no—
1223C22×C4—51no—
1224C22×C4—102no—
1225C22×C4—102no—
1226C22×C4—102no—
1227C22×C4—102no—
1228C22×C4—102no—
1229C22×C4—102no—
1230C22×C4—102no—
1231C22×C4—102no—
1232C22×C4—102no—
1233C22×C4—102no—
1234C22×C4—102no—
1235C22×C4—102no—
1236C22×C4—102no—
1237C22×C4—102no—
1238C22×C4—102no—
1239C22×C4—102no—
1240C22×C4—102no—
1241C22×C4—102no—
1242C22×C4—102no—
1243C22×C4—201no—
1244C22×C4—201no—
1245C22×C4—201no—
1246C22×C4—201no—
1247C22×C4—201no—
1248C22×C4—201no—
1249C22×C4—201no—
1250C22×C4—201no—
1251C22×C4—201no—
1252C22×C4—201no—
1253C22×C4—201no—
1254C22×C4—201no—
1255C22×C4—201no—
1256C22×C4—201no—
1257C22×C4—201no—
1258C22×C4—201no—
1259C22×C4—201no—
1260C22×C4—201no—
1261C22×C4—201no—
1262C22×C4—201no—
1263C22×C4—2016no—
1264C22×C4C23×D511yescharacteristic
1265C22×C4C23×D511yescharacteristic
1266C22×C4C23×D511yescharacteristic
1267C22×C4C23×D511yescharacteristic
1268C22×C4C23×D511yescharacteristic
1269C22×C4C23×D511yescharacteristic
1270C22×C4C23×D511yescharacteristic
1271C22×C4C23×D511yescharacteristic
1272C22×C4C23×D511yescharacteristic
1273C22×C4C23×D511yescharacteristic
1274C22×C4C23×D511yescharacteristic
1275C22×C4C23×D511yescharacteristic
1276C22×C4C23×D511yescharacteristic
1277C22×C4C23×D511yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—54no—
1286C4⋊C4—54no—
1287C4⋊C4—54no—
1288C4⋊C4—102no—
1289C4⋊C4—201no—
1290C4⋊C4—201no—
1291C4⋊C4—201no—
1292C4⋊C4—201no—
1293C4⋊C4—201no—
1294C4⋊C4—201no—
1295C4⋊C4—201no—
1296C4⋊C4—201no—
1297C4⋊C4C2×C4×D514yescomplemented
1298C4⋊C4C2×C4×D514yescomplemented
1299C4⋊C4C2×C4×D514yescomplemented
1300C22⋊C4—22no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—54no—
1304C22⋊C4—54no—
1305C22⋊C4—54no—
1306C22⋊C4—54no—
1307C22⋊C4—54no—
1308C22⋊C4—54no—
1309C22⋊C4—54no—
1310C22⋊C4—54no—
1311C22⋊C4—54no—
1312C22⋊C4—54no—
1313C22⋊C4—54no—
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—201no—
1326C22⋊C4—201no—
1327C22⋊C4—201no—
1328C22⋊C4—201no—
1329C22⋊C4—201no—
1330C22⋊C4—201no—
1331C22⋊C4—201no—
1332C22⋊C4—201no—
1333C22⋊C4—201no—
1334C22⋊C4—201no—
1335C22⋊C4—201no—
1336C22⋊C4—201no—
1337C22⋊C4—201no—
1338C22⋊C4—201no—
1339C22⋊C4C2×C4×D514yes—
1340C22⋊C4C2×C4×D514yes—
1341C22⋊C4C2×C4×D514yes—
1342C42—22no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—54no—
1348C42—102no—
1349C42—102no—
1350C42—102no—
1351C42—102no—
1352C42—102no—
1353C42—102no—
1354C42—102no—
1355C42—102no—
1356C42—102no—
1357C42—102no—
1358C42—102no—
1359C42—201no—
1360C42—201no—
1361C42—201no—
1362C42—201no—
1363C42—201no—
1364C42—201no—
1365C42—201no—
1366C42—201no—
1367C42C2×C4×D514yescomplemented
1368C2×C5—42no—
1369C2×C5C2×C4×#4111yescharacteristic
1370C2×C5C4×H(5,𝔽2)11yescharacteristic
1371C2×C5C4×H(5,𝔽2)11yescharacteristic
1372C2×C5C2×#53811yescharacteristic
1373C2×C5#345511yescharacteristic
1374C2×C5#345911yescharacteristic
1375C2×C5#346011yescharacteristic
1376D5—24no—
1377D5—42no—
1378D5—42no—
1379D5—42no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—52no—
1387C23—52no—
1388C23—52no—
1389C23—52no—
1390C23—52no—
1391C23—52no—
1392C23—108no—
1393C23—101no—
1394C23—101no—
1395C23—101no—
1396C23—101no—
1397C23—101no—
1398C23—101no—
1399C23—101no—
1400C23—101no—
1401C23—101no—
1402C23—101no—
1403C23—101no—
1404C23—101no—
1405C23—101no—
1406C23—101no—
1407C23—101no—
1408C23—101no—
1409C23—101no—
1410C23—101no—
1411C23—101no—
1412C23—101no—
1413C23—101no—
1414C23—101no—
1415C23—204no—
1416C23—204no—
1417C23—204no—
1418C23—204no—
1419C23—204no—
1420C23—204no—
1421C23C22×C4×D512yes—
1422C23C24×D511yescharacteristic
1423Q8—204no—
1424D4—108no—
1425D4—108no—
1426D4—204no—
1427D4—204no—
1428D4—204no—
1429D4—204no—
1430D4—204no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—44no—
1466C2×C4—52no—
1467C2×C4—52no—
1468C2×C4—52no—
1469C2×C4—52no—
1470C2×C4—52no—
1471C2×C4—52no—
1472C2×C4—52no—
1473C2×C4—52no—
1474C2×C4—108no—
1475C2×C4—101no—
1476C2×C4—101no—
1477C2×C4—101no—
1478C2×C4—101no—
1479C2×C4—101no—
1480C2×C4—101no—
1481C2×C4—101no—
1482C2×C4—101no—
1483C2×C4—101no—
1484C2×C4—101no—
1485C2×C4—101no—
1486C2×C4—101no—
1487C2×C4—101no—
1488C2×C4—101no—
1489C2×C4—101no—
1490C2×C4—101no—
1491C2×C4—101no—
1492C2×C4—101no—
1493C2×C4—101no—
1494C2×C4—101no—
1495C2×C4—101no—
1496C2×C4—101no—
1497C2×C4—101no—
1498C2×C4—101no—
1499C2×C4—101no—
1500C2×C4—101no—
1501C2×C4—101no—
1502C2×C4—101no—
1503C2×C4—204no—
1504C2×C4—204no—
1505C2×C4—204no—
1506C2×C4—204no—
1507C2×C4—204no—
1508C2×C4—204no—
1509C2×C4—204no—
1510C2×C4—204no—
1511C2×C4—204no—
1512C2×C4—204no—
1513C2×C4—204no—
1514C2×C4—204no—
1515C2×C4—204no—
1516C2×C4—204no—
1517C2×C4C22×C4×D512yes—
1518C2×C4C22×C4×D512yes—
1519C2×C4C22×C4×D512yes—
1520C2×C4C22×C4×D512yes—
1521C2×C4C22×C4×D512yes—
1522C2×C4C22×C4×D512yes—
1523C2×C4D5×#4112yes—
1524C2×C4D5×#4112yes—
1525C5C4×#53811yescharacteristic, complemented, Sylow
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—54no—
1534C22—102no—
1535C22—102no—
1536C22—102no—
1537C22—102no—
1538C22—102no—
1539C22—102no—
1540C22—102no—
1541C22—102no—
1542C22—102no—
1543C22—102no—
1544C22—102no—
1545C22—102no—
1546C22—102no—
1547C22—102no—
1548C22—102no—
1549C22—2016no—
1550C22—201no—
1551C22—201no—
1552C22—201no—
1553C22—201no—
1554C22—201no—
1555C22—201no—
1556C22—201no—
1557C22—201no—
1558C22—201no—
1559C22—201no—
1560C22—201no—
1561C22—201no—
1562C22C23×C4×D511yescharacteristic
1563C22C2×D5×#4111yescharacteristic
1564C22C2×D5×#4111yescharacteristic
1565C22D5×H(5,𝔽2)11yescharacteristic
1566C22D5×H(5,𝔽2)11yescharacteristic
1567C22#6628711yescharacteristic
1568C22#6628711yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—54no—
1584C4—102no—
1585C4—102no—
1586C4—102no—
1587C4—102no—
1588C4—102no—
1589C4—201no—
1590C4—201no—
1591C4—201no—
1592C4—201no—
1593C4—201no—
1594C4—201no—
1595C2—42no—
1596C2—104no—
1597C2—202no—
1598C2—202no—
1599C2—202no—
1600C2C4×D5×#4111yescharacteristic
1601C2#1061778711yescharacteristic
1602C2#1061778711yescharacteristic
1603C2D5×#53811yescharacteristic
1604C2#1061832911yescharacteristic
1605C2#1061839611yescharacteristic
1606C2#1061842511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutatorC22×C5C24×C4
FittingC5×#2334C2
socle, cosocleC23×C5C25
prime radicalC2×#66038C2
hypercenter#2334D5
hypocenterC5C4×#538
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2334

Complements

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

NH ≅ G/Ntype
2. C5×#2334C2semidirect
3. Dic5×#126C2semidirect
4. #10607930C2semidirect
5. #10607706C2semidirect
6. #10607695C2semidirect
7. #10607695C2semidirect
8. #10607558C2semidirect
9. #10607557C2semidirect
10. #10607556C2semidirect
11. #10607185C2semidirect
12. #10607184C2semidirect
13. #10607183C2semidirect
14. #10607029C2semidirect
15. #10606683C2semidirect
16. #10606676C2semidirect
17. #10606673C2semidirect
18. #10606672C2semidirect
19. #10606671C2semidirect
20. #10606122C2semidirect
21. #10606121C2semidirect
22. #10606110C2semidirect
23. #10606110C2semidirect
24. #10605957C2semidirect
25. #10605880C2semidirect
26. #10605496C2semidirect
27. #10605363C2semidirect
28. C4×#4039C2semidirect
29. C4×#4039C2semidirect
30. #10605301C2semidirect
31. C4×D5×C22⋊C4C2semidirect
34. #66038C4semidirect
46. C2×#4039C22semidirect
47. C2×#4033C22semidirect
62. C2×C42×D5C22semidirect
63. C2×C42×D5C22semidirect
64. C5×#389C22semidirect
65. C5×#389C22semidirect
69. C5×#387C22semidirect
70. C5×#387C22semidirect
71. C5×#387C22semidirect
74. C5×#382C22semidirect
75. C4×C5×C4⋊C4C22semidirect
76. C4×C5×C4⋊C4C22semidirect
83. #65279C22semidirect
84. #65279C22semidirect
85. #65279C22semidirect
86. #65279C22semidirect
92. #65278C22semidirect
95. #65276C22semidirect
96. #65270C22semidirect
97. #65270C22semidirect
98. #65270C22semidirect
99. #65267C22semidirect
100. C4⋊C4×Dic5C22semidirect
101. C4⋊C4×Dic5C22semidirect
102. C4⋊C4×Dic5C22semidirect
103. C4⋊C4×Dic5C22semidirect
104. C4⋊C4×Dic5C22semidirect
105. C4⋊C4×Dic5C22semidirect
106. #65263C22semidirect
107. #65261C22semidirect
125. #65229C22semidirect
126. #65229C22semidirect
128. #65228C22semidirect
133. C4×#685C22semidirect
134. C4×#685C22semidirect
135. #65226C22semidirect
136. #65222C22semidirect
137. #65222C22semidirect
138. C42×Dic5C22semidirect
139. C42×Dic5C22semidirect
144. #64958C22semidirect
145. #64958C22semidirect
147. #64957C22semidirect
149. #64956C22semidirect
158. #64955C22semidirect
159. #64955C22semidirect
160. #64955C22semidirect
161. #64955C22semidirect
162. #64955C22semidirect
163. #64955C22semidirect
172. #64954C22semidirect
173. #64954C22semidirect
174. #64953C22semidirect
175. #64953C22semidirect
178. #64944C22semidirect
179. #64942C22semidirect
180. #64942C22semidirect
181. #64940C22semidirect
182. #64939C22semidirect
183. #64938C22semidirect
184. #64938C22semidirect
185. #64936C22semidirect
186. #64935C22semidirect
187. #64935C22semidirect
217. C5×#126C2×C4semidirect
308. #4044C2×C4semidirect
309. #4042C2×C4semidirect
310. #4041C2×C4semidirect
311. #4041C2×C4semidirect
312. #4040C2×C4semidirect
319. #4039C2×C4semidirect
321. #4031C2×C4semidirect
322. #4030C2×C4semidirect
323. #4029C2×C4semidirect
324. #4028C2×C4semidirect
325. #4028C2×C4semidirect
329. D5×C22⋊C4C2×C4semidirect
330. #4021C2×C4semidirect
332. C4×D20C2×C4semidirect
383. #2334D5semidirect
472. C2×D20C22×C4semidirect
512. C2×C4×D5C22×C4semidirect
513. C2×C4×D5C22×C4semidirect
518. C2×Dic10C22×C4semidirect
526. C5×C4⋊C4C22×C4semidirect
527. C5×C4⋊C4C22×C4semidirect
528. C5×C4⋊C4C22×C4semidirect
540. C42×C5C22×C4semidirect
573. #685C22×C4semidirect
574. #685C22×C4semidirect
575. #685C22×C4semidirect
576. #685C22×C4semidirect
580. C4⋊Dic5C22×C4semidirect
587. #683C22×C4semidirect
588. #683C22×C4semidirect
608. C4×Dic5C22×C4semidirect
651. #389C2×D5semidirect
652. #389C2×D5semidirect
686. #387C2×D5semidirect
687. #387C2×D5semidirect
688. #387C2×D5semidirect
716. #382C2×D5semidirect
733. C4×C4⋊C4C2×D5semidirect
734. C4×C4⋊C4C2×D5semidirect
939. #126C4×D5semidirect
1166. Dic5#538semidirect
1297. C4⋊C4C2×C4×D5semidirect
1298. C4⋊C4C2×C4×D5semidirect
1299. C4⋊C4C2×C4×D5semidirect
1367. C42C2×C4×D5semidirect
1525. C5C4×#538semidirect

Maximal subgroups

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

subgroupindex
C2×#660382
C5×#23342
Dic5×#1262
#106079302
#106077062
#106076952
#106075582
#106075572
#106075562
#106071852
#106071842
#106071832
#106070292
#106066832
#106066762
#106066732
#106066722
#106066712
#106061222
#106061212
#106061102
#106059572
#106058802
#106054962
#106053632
C4×#40392
#106053012
C4×D5×C22⋊C42
C4×#5385