Finite Group Databasebeta

← #12267080

Subgroups — #12267080

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
2C2×C4×D4×D5C211yesmaximal, characteristic, complemented
3C5×#2460C211yesmaximal, characteristic, complemented
4#10614763C211yesmaximal, characteristic, complemented
5#10614101C211yesmaximal, characteristic, complemented
6#10609399C211yesmaximal, characteristic, complemented
7#10609189C211yesmaximal, characteristic, complemented
8#10609149C211yesmaximal, characteristic, complemented
9#10609012C211yesmaximal, characteristic, complemented
10#10608839C211yesmaximal, characteristic
11#10608837C211yesmaximal, characteristic, complemented
12#10608624C211yesmaximal, characteristic, complemented
13#10608622C211yesmaximal, characteristic, complemented
14#10607272C211yesmaximal, characteristic, complemented
15#10607257C211yesmaximal, characteristic, complemented
16#10607184C211yesmaximal, characteristic, complemented
17#10607183C211yesmaximal, characteristic, complemented
18#10607051C211yesmaximal, characteristic, complemented
19#10607046C211yesmaximal, characteristic, complemented
20#10606751C211yesmaximal, characteristic, complemented
21#10606672C211yesmaximal, characteristic, complemented
22#10606668C211yesmaximal, characteristic, complemented
23#10606668C211yesmaximal, characteristic, complemented
24#10606341C211yesmaximal, characteristic, complemented
25#10606165C211yesmaximal, characteristic, complemented
26#10606110C211yesmaximal, characteristic, complemented
27#10606110C211yesmaximal, characteristic, complemented
28#10605753C211yesmaximal, characteristic, complemented
29#10605593C211yesmaximal, characteristic, complemented
30#10605321C211yesmaximal, characteristic, complemented
31C4×D5×C22⋊C4C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×#125C2211yescharacteristic, complemented
36C2×C4×C5×D4C2211yescharacteristic
37C2×D4×Dic5C2211yescharacteristic
38C2×C4×C22⋊D5C2211yescharacteristic
39C2×C4×C22⋊D5C2211yescharacteristic
40#66025—28no—
41C4×D4×D5—28no—
42C2×#4044C2211yescharacteristic, complemented
43C2×#4044C2211yescharacteristic, complemented
44C2×#4043C2211yescharacteristic, complemented
45C2×#4042C2211yescharacteristic
46C2×#4041C2211yescharacteristic
47C2×#4040C2211yescharacteristic
48C2×#4040C2211yescharacteristic, complemented
49C2×#4039C2211yescharacteristic
50C2×#4039C2211yescharacteristic
51C2×#4039C2211yescharacteristic, complemented
52C2×#4039C2211yescharacteristic, complemented
53C2×#4038C2211yescharacteristic, complemented
54C2×#4038C2211yescharacteristic, complemented
55C2×#4038C2211yescharacteristic, complemented
56C2×D5×C4⋊C4C2211yescharacteristic
57C2×#4033C2211yescharacteristic, complemented
58C2×#4030C2211yescharacteristic
59C2×#4029C2211yescharacteristic
60C2×#4028C2211yescharacteristic
61C2×#4028C2211yescharacteristic
62C2×#4027C2211yescharacteristic
63C2×#4027C2211yescharacteristic
64C2×#4027C2211yescharacteristic, complemented
65C2×#4027C2211yescharacteristic, complemented
66C2×D5×C22⋊C4C2211yescharacteristic
67C2×D5×C22⋊C4C2211yescharacteristic
68C2×D5×C22⋊C4C2211yescharacteristic
69C2×D5×C22⋊C4C2211yescharacteristic
70C2×#4021C2211yescharacteristic, complemented
71C2×C4×D20C2211yescharacteristic
72C2×C42×D5C2211yescharacteristic
73C2×C42×D5C2211yescharacteristic, complemented
74C2×C42×D5C2211yescharacteristic, complemented
75C5×#397C2211yescharacteristic, complemented
76C5×#396C2211yescharacteristic, complemented
77C5×#394C2211yescharacteristic
78C5×#394C2211yescharacteristic
79C5×#388C2211yescharacteristic, complemented
80C5×#388C2211yescharacteristic, complemented
81C5×#387C2211yescharacteristic, complemented
82C5×#387C2211yescharacteristic, complemented
83C5×#387C2211yescharacteristic, complemented
84C5×#385C2211yescharacteristic, complemented
85C5×#385C2211yescharacteristic, complemented
86C5×#380C2211yescharacteristic, complemented
87C4×C5×C22⋊C4C2211yescharacteristic, complemented
88#65512C2211yescharacteristic
89#65511C2211yescharacteristic
90#65502C2211yescharacteristic, complemented
91#65502C2211yescharacteristic, complemented
92#65501C2211yescharacteristic, complemented
93C4×C22⋊Dic5C2211yescharacteristic, complemented
94#65283C2211yescharacteristic, complemented
95#65280C2211yescharacteristic, complemented
96#65278C2211yescharacteristic
97#65278C2211yescharacteristic
98#65278C2211yescharacteristic
99#65278C2211yescharacteristic
100#65278C2211yescharacteristic, complemented
101#65278C2211yescharacteristic, complemented
102#65278C2211yescharacteristic, complemented
103#65278C2211yescharacteristic, complemented
104#65276C2211yescharacteristic
105#65276C2211yescharacteristic
106#65275C2211yescharacteristic, complemented
107#65273C2211yescharacteristic, complemented
108#65272C2211yescharacteristic, complemented
109#65270C2211yescharacteristic, complemented
110#65270C2211yescharacteristic, complemented
111#65269C2211yescharacteristic, complemented
112C4⋊C4×Dic5C2211yescharacteristic, complemented
113#65261C2211yescharacteristic, complemented
114#65250C2211yescharacteristic
115#65250C2211yescharacteristic, complemented
116#65249C2211yescharacteristic
117#65248C2211yescharacteristic
118#65248C2211yescharacteristic
119#65248C2211yescharacteristic, complemented
120#65248C2211yescharacteristic, complemented
121#65246C2211yescharacteristic, complemented
122#65245C2211yescharacteristic
123#65245C2211yescharacteristic
124#65244C2211yescharacteristic
125#65244C2211yescharacteristic
126#65244C2211yescharacteristic
127#65244C2211yescharacteristic
128#65241C2211yescharacteristic, complemented
129#65241C2211yescharacteristic, complemented
130#65238C2211yescharacteristic, complemented
131#65237C2211yescharacteristic, complemented
132#65237C2211yescharacteristic, complemented
133#65236C2211yescharacteristic, complemented
134#65236C2211yescharacteristic, complemented
135#65233C2211yescharacteristic, complemented
136C22⋊C4×Dic5C2211yescharacteristic, complemented
137C22⋊C4×Dic5C2211yescharacteristic, complemented
138C22⋊C4×Dic5C2211yescharacteristic, complemented
139C22⋊C4×Dic5C2211yescharacteristic, complemented
140C22⋊C4×Dic5C2211yescharacteristic, complemented
141C22⋊C4×Dic5C2211yescharacteristic, complemented
142#65229C2211yescharacteristic, complemented
143#65229C2211yescharacteristic, complemented
144#65229C2211yescharacteristic, complemented
145C4×#685C2211yescharacteristic
146C4×#685C2211yescharacteristic
147#65222C2211yescharacteristic, complemented
148#65222C2211yescharacteristic, complemented
149#64964C2211yescharacteristic, complemented
150#64964C2211yescharacteristic, complemented
151#64964C2211yescharacteristic, complemented
152#64963C2211yescharacteristic, complemented
153#64958C2211yescharacteristic, complemented
154#64958C2211yescharacteristic, complemented
155#64957C2211yescharacteristic
156#64957C2211yescharacteristic
157#64957C2211yescharacteristic, complemented
158#64956C2211yescharacteristic
159#64956C2211yescharacteristic, complemented
160#64955C2211yescharacteristic
161#64955C2211yescharacteristic
162#64955C2211yescharacteristic
163#64955C2211yescharacteristic, complemented
164#64955C2211yescharacteristic, complemented
165#64955C2211yescharacteristic, complemented
166#64954C2211yescharacteristic
167#64954C2211yescharacteristic
168#64954C2211yescharacteristic
169#64954C2211yescharacteristic
170#64954C2211yescharacteristic
171#64954C2211yescharacteristic
172#64954C2211yescharacteristic, complemented
173#64954C2211yescharacteristic, complemented
174#64954C2211yescharacteristic, complemented
175#64953C2211yescharacteristic, complemented
176#64953C2211yescharacteristic, complemented
177#64953C2211yescharacteristic, complemented
178D5×#95C2211yescharacteristic, complemented
179D5×#95C2211yescharacteristic, complemented
180#64948C2211yescharacteristic, complemented
181#64948C2211yescharacteristic, complemented
182#64942C2211yescharacteristic, complemented
183#64938C2211yescharacteristic, complemented
184#64938C2211yescharacteristic, complemented
185#64938C2211yescharacteristic, complemented
186#64937C2211yescharacteristic, complemented
187#64936C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#34670—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C22×C22⋊D5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C23×Dic5C2311yescharacteristic
200C23×Dic5C2311yescharacteristic
201C2×D4×D5—24no—
202C2×D4×D5—24no—
203C2×D4×D5—24no—
204C22×D20C2311yescharacteristic
205C22×D20C2311yescharacteristic
206C22×D20C2311yescharacteristic
207C22×D20C2311yescharacteristic
208C22×C4×D5—24no—
209C22×C4×D5—24no—
210C22×C4×D5—24no—
211C22×C4×D5—24no—
212C22×C4×D5—42no—
213C22×C4×D5—42no—
214C22×C4×D5C2311yescharacteristic
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—
230C4×C5×D4—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×C22⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C5×C22⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C42×C5C2311yescharacteristic
251C2×C42×C5C2311yescharacteristic
252C2×C42×C5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261D4×Dic5—24no—
262C4×C22⋊D5—24no—
263C4×C22⋊D5—24no—
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×C4⋊Dic5C2311yescharacteristic
295C2×C4⋊Dic5C2311yescharacteristic
296C2×C4⋊Dic5C2311yescharacteristic
297C2×C4⋊Dic5C2311yescharacteristic
298C2×C4⋊Dic5C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×#683C2311yescharacteristic
301C2×#683C2311yescharacteristic
302C2×#683C2311yescharacteristic
303C2×#683C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
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#4042—24no—
327#4041—24no—
328#4040—24no—
329#4040—24no—
330#4039—24no—
331#4039—24no—
332#4039—24no—
333#4039D418yescomplemented
334#4038—24no—
335#4038—24no—
336#4038—42no—
337D5×C4⋊C4—24no—
338#4033—24no—
339#4030—24no—
340#4029—24no—
341#4028—24no—
342#4028—24no—
343#4027—24no—
344#4027—24no—
345#4027—42no—
346#4027—42no—
347D5×C22⋊C4—24no—
348D5×C22⋊C4—24no—
349D5×C22⋊C4—24no—
350D5×C22⋊C4—24no—
351#4021—24no—
352C4×D20—24no—
353C42×D5—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
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
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#2473—51no—
397#2472—51no—
398#2467—51no—
399#2466—51no—
400#2460D511yescharacteristic, complemented
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
424C24×C5C2411yescharacteristic
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—22no—
434C23×D5—41no—
435C23×D5—41no—
436C23×D5—41no—
437C23×D5—41no—
438C23×D5#4114yes—
439C23×D5C2411yescharacteristic
440C23×D5C2411yescharacteristic
441C23×D5C2411yescharacteristic
442C23×D5C2411yescharacteristic
443C2×C5×D4—22no—
444C2×C5×D4—22no—
445C2×C5×D4—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
465C2×C22⋊D5—22no—
466C2×C22⋊D5—22no—
467C2×C22⋊D5—22no—
468C2×C22⋊D5—22no—
469C2×C22⋊D5—22no—
470C2×C22⋊D5—22no—
471C2×C22⋊D5—22no—
472C2×C22⋊D5—22no—
473C2×C22⋊D5—41no—
474C2×C22⋊D5—41no—
475C2×C22⋊D5—41no—
476C2×C22⋊D5#4114yes—
477C22×Dic5—22no—
478C22×Dic5—22no—
479C22×Dic5—22no—
480C22×Dic5—22no—
481C22×Dic5—22no—
482C22×Dic5—22no—
483C22×Dic5C2411yescharacteristic
484C22×Dic5C2411yescharacteristic
485C22×Dic5C2411yescharacteristic
486C22×Dic5C2411yescharacteristic
487C22×Dic5C2411yescharacteristic
488C22×Dic5C2411yescharacteristic
489C22×Dic5C2411yescharacteristic
490C22×Dic5C2411yescharacteristic
491C22×Dic5C2411yescharacteristic
492C22×Dic5C2411yescharacteristic
493C22×Dic5C2411yescharacteristic
494C22×Dic5C2411yescharacteristic
495D4×D5—232no—
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—22no—
506C2×D20—41no—
507C2×D20C2×D414yes—
508C2×C4×D5—22no—
509C2×C4×D5—22no—
510C2×C4×D5—22no—
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—416no—
539C2×C4×D5—416no—
540C2×C4×D5—41no—
541C2×C4×D5—41no—
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×D5C2×D414yes—
550C2×C4×D5C2×D414yes—
551C2×C4×D5#4114yes—
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—41no—
563C5×C4⋊C4C2×D414yes—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C5×C22⋊C4—22no—
567C5×C22⋊C4—22no—
568C5×C22⋊C4—22no—
569C5×C22⋊C4—22no—
570C5×C22⋊C4—22no—
571C5×C22⋊C4—22no—
572C5×C22⋊C4—41no—
573C5×C22⋊C4—41no—
574C42×C5—22no—
575C42×C5—22no—
576C42×C5—41no—
577C22⋊Dic5—22no—
578C22⋊Dic5—22no—
579C22⋊Dic5—22no—
580C22⋊Dic5—22no—
581C22⋊Dic5—22no—
582C22⋊Dic5—41no—
583C22⋊Dic5—41no—
584C22⋊Dic5—41no—
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#685C2×D414yes—
613#685C2×D414yes—
614#685#4114yes—
615C4⋊Dic5—22no—
616C4⋊Dic5—22no—
617C4⋊Dic5—22no—
618C4⋊Dic5—22no—
619C4⋊Dic5—41no—
620#683—22no—
621#683—22no—
622#683—22no—
623#683—22no—
624#683—22no—
625#683—22no—
626#683—22no—
627#683—22no—
628#683—41no—
629#683—41no—
630#683—41no—
631#683—41no—
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—108no—
675C2×C4×D4C2×D511yescharacteristic
676C2×#117—51no—
677C2×#117—51no—
678C2×#117—51no—
679C22×C4⋊C4—51no—
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#400—51no—
690#399—51no—
691#398—51no—
692#398—51no—
693#398—51no—
694#397—51no—
695#397—51no—
696#397—51no—
697#397—51no—
698#397—51no—
699#397—51no—
700#397C2×D511yescharacteristic, complemented
701#396—51no—
702#396—51no—
703#396—51no—
704#396C2×D511yescharacteristic, complemented
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#394C2×D511yescharacteristic
714#394C2×D511yescharacteristic
715#393—51no—
716#393—51no—
717#392—51no—
718#392—51no—
719#391—51no—
720#390—51no—
721#389—51no—
722#389—51no—
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388C2×D511yescharacteristic, complemented
730#388C2×D511yescharacteristic, complemented
731#387—51no—
732#387—51no—
733#387—51no—
734#387—51no—
735#387—51no—
736#387C2×D511yescharacteristic, complemented
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#385—51no—
762#385—51no—
763#385C2×D511yescharacteristic, complemented
764#385C2×D511yescharacteristic, complemented
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, complemented
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, complemented
798#376—51no—
799C2×#95—51no—
800C2×#95—51no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—21no—
810C23×C5—21no—
811C23×C5—21no—
812C23×C5—21no—
813C23×C5C2×#4112yes—
814C23×C5C2×#4112yes—
815C23×C5C2511yescharacteristic
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—28no—
825C22×D5—21no—
826C22×D5—21no—
827C22×D5—21no—
828C22×D5—21no—
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—28no—
832C22×D5—28no—
833C22×D5—21no—
834C22×D5—21no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—44no—
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×D5C22×D412yes—
852C22×D5C22×D412yes—
853C22×D5C2×#4112yes—
854C22×D5C2×#4112yes—
855C22×D5C2×#4112yes—
856C22×D5C2×#4112yes—
857C22×D5C2×#4112yes—
858C5×D4—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—44no—
894C2×C4×C5—44no—
895C2×C4×C5C22×D412yes—
896C2×C4×C5C22×D412yes—
897C2×C4×C5C22×D412yes—
898C2×C4×C5C2×#4112yes—
899C2×C4×C5C2×#4112yes—
900C22⋊D5—28no—
901C22⋊D5—28no—
902C22⋊D5—44no—
903C22⋊D5—44no—
904C2×Dic5—21no—
905C2×Dic5—21no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—21no—
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—21no—
934C2×Dic5—44no—
935C2×Dic5—44no—
936C2×Dic5C22×D412yes—
937C2×Dic5C22×D412yes—
938C2×Dic5C2×#4112yes—
939C2×Dic5C2×#4112yes—
940C2×Dic5C2×#4112yes—
941C2×Dic5H(5,𝔽2)12yes—
942D20—28no—
943D20—44no—
944D20—44no—
945D20—44no—
946C4×D5—28no—
947C4×D5—28no—
948C4×D5—28no—
949C4×D5—28no—
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—104no—
973C22×D4—104no—
974C22×D4—104no—
975C22×D4C22×D511yescharacteristic
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—51no—
992C23×C4—104no—
993C23×C4—104no—
994C23×C4—104no—
995C23×C4—104no—
996C23×C4—202no—
997C23×C4—202no—
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—24no—
1015C4×D4—58no—
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—51no—
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⋊C4—51no—
1044C2×C4⋊C4—51no—
1045C2×C4⋊C4—51no—
1046C2×C4⋊C4—51no—
1047C2×C4⋊C4—104no—
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—104no—
1096C2×C22⋊C4—104no—
1097C2×C22⋊C4—104no—
1098C2×C22⋊C4—104no—
1099C2×C22⋊C4C22×D511yescharacteristic
1100C2×C22⋊C4C22×D511yescharacteristic
1101C2×C22⋊C4C22×D511yescharacteristic
1102C2×C22⋊C4C22×D511yescharacteristic
1103C2×C22⋊C4C22×D511yescharacteristic
1104C2×C22⋊C4C22×D511yescharacteristic
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—104no—
1122C2×C42—104no—
1123C2×C42—202no—
1124C2×C42C22×D511yescharacteristic
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#95—51no—
1152#95—51no—
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—41no—
1170C22×C5—41no—
1171C22×C5—41no—
1172C22×C5—41no—
1173C22×C5—41no—
1174C22×C5—41no—
1175C22×C5—41no—
1176C22×C5—41no—
1177C22×C5C23×D411yescharacteristic
1178C22×C5C22×#4111yescharacteristic
1179C22×C5C22×#4111yescharacteristic
1180C22×C5C22×#4111yescharacteristic
1181C22×C5C22×#4111yescharacteristic
1182C22×C5C2×H(5,𝔽2)11yescharacteristic
1183C22×C5#58511yescharacteristic
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—22no—
1193C2×D5—22no—
1194C2×D5—22no—
1195C2×D5—22no—
1196C2×D5—22no—
1197C2×D5—22no—
1198C2×D5—22no—
1199C2×D5—416no—
1200C2×D5—416no—
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#52514yes—
1213C2×D5#52914yescomplemented
1214C4×C5—22no—
1215C4×C5—22no—
1216C4×C5—22no—
1217C4×C5—22no—
1218C4×C5—22no—
1219C4×C5—41no—
1220C4×C5—41no—
1221C4×C5—41no—
1222C4×C5—41no—
1223C4×C5—41no—
1224C4×C5—41no—
1225C4×C5—41no—
1226C4×C5—41no—
1227Dic5—22no—
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—54no—
1243C24—51no—
1244C24—102no—
1245C24—102no—
1246C24—102no—
1247C24—102no—
1248C24—102no—
1249C24—102no—
1250C24—102no—
1251C24—102no—
1252C24—102no—
1253C24—201no—
1254C24—201no—
1255C24—201no—
1256C24—201no—
1257C24C23×D511yescharacteristic
1258C24C23×D511yescharacteristic
1259C2×Q8—102no—
1260C2×Q8—102no—
1261C2×Q8—201no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—54no—
1266C2×D4—54no—
1267C2×D4—102no—
1268C2×D4—102no—
1269C2×D4—102no—
1270C2×D4—102no—
1271C2×D4—102no—
1272C2×D4—102no—
1273C2×D4—102no—
1274C2×D4—102no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—102no—
1278C2×D4—1032no—
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—41no—
1295C22×C4—41no—
1296C22×C4—51no—
1297C22×C4—51no—
1298C22×C4—51no—
1299C22×C4—51no—
1300C22×C4—54no—
1301C22×C4—54no—
1302C22×C4—54no—
1303C22×C4—51no—
1304C22×C4—51no—
1305C22×C4—51no—
1306C22×C4—51no—
1307C22×C4—51no—
1308C22×C4—51no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—102no—
1312C22×C4—102no—
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—102no—
1347C22×C4—201no—
1348C22×C4—201no—
1349C22×C4—201no—
1350C22×C4—201no—
1351C22×C4—201no—
1352C22×C4—201no—
1353C22×C4—201no—
1354C22×C4—201no—
1355C22×C4—201no—
1356C22×C4—2016no—
1357C22×C4—2016no—
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—41no—
1379C4⋊C4—102no—
1380C4⋊C4—102no—
1381C4⋊C4—102no—
1382C4⋊C4—102no—
1383C4⋊C4—102no—
1384C4⋊C4—102no—
1385C4⋊C4—102no—
1386C4⋊C4—102no—
1387C4⋊C4—102no—
1388C4⋊C4—102no—
1389C4⋊C4—102no—
1390C4⋊C4—102no—
1391C4⋊C4—201no—
1392C4⋊C4—201no—
1393C4⋊C4—201no—
1394C4⋊C4—201no—
1395C4⋊C4—201no—
1396C4⋊C4D4×D514yes—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—54no—
1408C22⋊C4—54no—
1409C22⋊C4—54no—
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—102no—
1434C22⋊C4—102no—
1435C22⋊C4—102no—
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—201no—
1445C42—22no—
1446C42—22no—
1447C42—41no—
1448C42—54no—
1449C42—102no—
1450C42—102no—
1451C42—102no—
1452C42—102no—
1453C42—102no—
1454C42—102no—
1455C42—102no—
1456C42—102no—
1457C42—102no—
1458C42—102no—
1459C42—201no—
1460C2×C5—42no—
1461C2×C5—42no—
1462C2×C5C2×#52511yescharacteristic
1463C2×C5C2×#52911yescharacteristic
1464C2×C5#345911yescharacteristic
1465C2×C5C2×#54611yescharacteristic
1466C2×C5D4×#4111yescharacteristic
1467C2×C5#347511yescharacteristic
1468C2×C5#348111yescharacteristic
1469D5—24no—
1470D5—24no—
1471D5—42no—
1472D5—81no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—52no—
1486C23—52no—
1487C23—52no—
1488C23—52no—
1489C23—52no—
1490C23—52no—
1491C23—52no—
1492C23—108no—
1493C23—108no—
1494C23—108no—
1495C23—101no—
1496C23—101no—
1497C23—101no—
1498C23—101no—
1499C23—101no—
1500C23—101no—
1501C23—101no—
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—101no—
1516C23—204no—
1517C23—204no—
1518C23—204no—
1519C23—204no—
1520C23—204no—
1521C23—204no—
1522C23—204no—
1523C23—204no—
1524C23—204no—
1525C23—204no—
1526C23—204no—
1527C23D5×#4112yes—
1528C23D5×#4112yes—
1529C23C24×D511yescharacteristic
1530Q8—204no—
1531D4—28no—
1532D4—108no—
1533D4—108no—
1534D4—108no—
1535D4—204no—
1536D4—204no—
1537D4—204no—
1538D4—204no—
1539D4—204no—
1540C2×C4—21no—
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—44no—
1575C2×C4—44no—
1576C2×C4—52no—
1577C2×C4—52no—
1578C2×C4—52no—
1579C2×C4—52no—
1580C2×C4—52no—
1581C2×C4—52no—
1582C2×C4—108no—
1583C2×C4—108no—
1584C2×C4—108no—
1585C2×C4—108no—
1586C2×C4—101no—
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—101no—
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×C4—204no—
1628C2×C4C2×D4×D512yes—
1629C2×C4C2×D4×D512yes—
1630C2×C4C2×D4×D512yes—
1631C2×C4D5×#4112yes—
1632C2×C4D5×#4112yes—
1633C5#3467011yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—54no—
1649C22—54no—
1650C22—102no—
1651C22—102no—
1652C22—102no—
1653C22—102no—
1654C22—102no—
1655C22—102no—
1656C22—102no—
1657C22—102no—
1658C22—102no—
1659C22—102no—
1660C22—102no—
1661C22—102no—
1662C22—102no—
1663C22—102no—
1664C22—102no—
1665C22—2016no—
1666C22—2016no—
1667C22—201no—
1668C22—201no—
1669C22—201no—
1670C22—201no—
1671C22—201no—
1672C22—201no—
1673C22—201no—
1674C22—201no—
1675C22—201no—
1676C22—201no—
1677C22—201no—
1678C22C22×D4×D511yescharacteristic
1679C22C2×D5×#4111yescharacteristic
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—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—54no—
1699C4—102no—
1700C4—102no—
1701C4—102no—
1702C4—201no—
1703C4—201no—
1704C4—201no—
1705C4—201no—
1706C4—201no—
1707C4—201no—
1708C4—201no—
1709C4—201no—
1710C2—42no—
1711C2—42no—
1712C2—104no—
1713C2—104no—
1714C2—202no—
1715C2—401no—
1716C2D5×#52511yescharacteristic
1717C2D5×#52911yescharacteristic
1718C2#1061832911yescharacteristic
1719C2D5×#54611yescharacteristic
1720C2#1061861111yescharacteristic
1721C2#1061872811yescharacteristic
1722C2#1061877711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2460C2
prime radical#10608839C2
hypercenter#2460D5
hypocenterC5#34670
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2460

Complements

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

NH ≅ G/Ntype
1. C2×#66025C2semidirect
2. C2×C4×D4×D5C2semidirect
3. C5×#2460C2semidirect
4. #10614763C2semidirect
5. #10614101C2semidirect
6. #10609399C2semidirect
7. #10609189C2semidirect
8. #10609149C2semidirect
9. #10609012C2semidirect
11. #10608837C2semidirect
12. #10608624C2semidirect
13. #10608622C2semidirect
14. #10607272C2semidirect
15. #10607257C2semidirect
16. #10607184C2semidirect
17. #10607183C2semidirect
18. #10607051C2semidirect
19. #10607046C2semidirect
20. #10606751C2semidirect
21. #10606672C2semidirect
22. #10606668C2semidirect
23. #10606668C2semidirect
24. #10606341C2semidirect
25. #10606165C2semidirect
26. #10606110C2semidirect
27. #10606110C2semidirect
28. #10605753C2semidirect
29. #10605593C2semidirect
30. #10605321C2semidirect
31. C4×D5×C22⋊C4C2semidirect
35. C2×C5×#125C22semidirect
42. C2×#4044C22semidirect
43. C2×#4044C22semidirect
44. C2×#4043C22semidirect
48. C2×#4040C22semidirect
51. C2×#4039C22semidirect
52. C2×#4039C22semidirect
53. C2×#4038C22semidirect
54. C2×#4038C22semidirect
55. C2×#4038C22semidirect
57. C2×#4033C22semidirect
64. C2×#4027C22semidirect
65. C2×#4027C22semidirect
70. C2×#4021C22semidirect
73. C2×C42×D5C22semidirect
74. C2×C42×D5C22semidirect
75. C5×#397C22semidirect
76. C5×#396C22semidirect
79. C5×#388C22semidirect
80. C5×#388C22semidirect
81. C5×#387C22semidirect
82. C5×#387C22semidirect
83. C5×#387C22semidirect
84. C5×#385C22semidirect
85. C5×#385C22semidirect
86. C5×#380C22semidirect
87. C4×C5×C22⋊C4C22semidirect
90. #65502C22semidirect
91. #65502C22semidirect
92. #65501C22semidirect
93. C4×C22⋊Dic5C22semidirect
94. #65283C22semidirect
95. #65280C22semidirect
100. #65278C22semidirect
101. #65278C22semidirect
102. #65278C22semidirect
103. #65278C22semidirect
106. #65275C22semidirect
107. #65273C22semidirect
108. #65272C22semidirect
109. #65270C22semidirect
110. #65270C22semidirect
111. #65269C22semidirect
112. C4⋊C4×Dic5C22semidirect
113. #65261C22semidirect
115. #65250C22semidirect
119. #65248C22semidirect
120. #65248C22semidirect
121. #65246C22semidirect
128. #65241C22semidirect
129. #65241C22semidirect
130. #65238C22semidirect
131. #65237C22semidirect
132. #65237C22semidirect
133. #65236C22semidirect
134. #65236C22semidirect
135. #65233C22semidirect
136. C22⋊C4×Dic5C22semidirect
137. C22⋊C4×Dic5C22semidirect
138. C22⋊C4×Dic5C22semidirect
139. C22⋊C4×Dic5C22semidirect
140. C22⋊C4×Dic5C22semidirect
141. C22⋊C4×Dic5C22semidirect
142. #65229C22semidirect
143. #65229C22semidirect
144. #65229C22semidirect
147. #65222C22semidirect
148. #65222C22semidirect
149. #64964C22semidirect
150. #64964C22semidirect
151. #64964C22semidirect
152. #64963C22semidirect
153. #64958C22semidirect
154. #64958C22semidirect
157. #64957C22semidirect
159. #64956C22semidirect
163. #64955C22semidirect
164. #64955C22semidirect
165. #64955C22semidirect
172. #64954C22semidirect
173. #64954C22semidirect
174. #64954C22semidirect
175. #64953C22semidirect
176. #64953C22semidirect
177. #64953C22semidirect
178. D5×#95C22semidirect
179. D5×#95C22semidirect
180. #64948C22semidirect
181. #64948C22semidirect
182. #64942C22semidirect
183. #64938C22semidirect
184. #64938C22semidirect
185. #64938C22semidirect
186. #64937C22semidirect
187. #64936C22semidirect
188. #64935C22semidirect
333. #4039D4semidirect
400. #2460D5semidirect
650. C2×#125C2×D5semidirect
700. #397C2×D5semidirect
704. #396C2×D5semidirect
729. #388C2×D5semidirect
730. #388C2×D5semidirect
736. #387C2×D5semidirect
737. #387C2×D5semidirect
738. #387C2×D5semidirect
763. #385C2×D5semidirect
764. #385C2×D5semidirect
773. #380C2×D5semidirect
797. C4×C22⋊C4C2×D5semidirect
1213. C2×D5#529semidirect
1633. C5#34670semidirect

Maximal subgroups

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

subgroupindex
C2×#660252
C2×C4×D4×D52
C5×#24602
#106147632
#106141012
#106093992
#106091892
#106091492
#106090122
#106088392
#106088372
#106086242
#106086222
#106072722
#106072572
#106071842
#106071832
#106070512
#106070462
#106067512
#106066722
#106066682
#106063412
#106061652
#106061102
#106057532
#106055932
#106053212
C4×D5×C22⋊C42
#346705