Finite Group Databasebeta

← #12266848

Subgroups — #12266848

Order 1280.

3910 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65961C211yesmaximal, characteristic, complemented
2C2×#65961C211yesmaximal, characteristic, complemented
3C2×C4×D4×D5C211yesmaximal, characteristic, complemented
4C22×#4039C211yesmaximal, characteristic, complemented
5C5×#2449C211yesmaximal, characteristic, complemented
6#10614549C211yesmaximal, characteristic, complemented
7#10614547C211yesmaximal, characteristic, complemented
8#10614138C211yesmaximal, characteristic, complemented
9#10613926C211yesmaximal, characteristic, complemented
10#10609832C211yesmaximal, characteristic, complemented
11#10609750C211yesmaximal, characteristic, complemented
12#10609682C211yesmaximal, characteristic, complemented
13#10609468C211yesmaximal, characteristic, complemented
14#10609147C211yesmaximal, characteristic, complemented
15#10609012C211yesmaximal, characteristic, complemented
16#10608983C211yesmaximal, characteristic, complemented
17#10608900C211yesmaximal, characteristic, complemented
18#10607957C211yesmaximal, characteristic, complemented
19#10607695C211yesmaximal, characteristic, complemented
20#10607054C211yesmaximal, characteristic, complemented
21#10606668C211yesmaximal, characteristic, complemented
22#10606619C211yesmaximal, characteristic, complemented
23#10606615C211yesmaximal, characteristic, complemented
24#10606391C211yesmaximal, characteristic, complemented
25#10606390C211yesmaximal, characteristic, complemented
26#10606334C211yesmaximal, characteristic, complemented
27#10606332C211yesmaximal, characteristic, complemented
28#10606158C211yesmaximal, characteristic, complemented
29#10606110C211yesmaximal, characteristic, complemented
30#10606110C211yesmaximal, characteristic, complemented
31#10606108C211yesmaximal, characteristic, complemented
32C22×#713C2211yescharacteristic, complemented
33C22×D4×D5C2211yescharacteristic
34C23×D20C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic
36C23×C4×D5C2211yescharacteristic, complemented
37C23×C4×D5C2211yescharacteristic, complemented
38C2×C5×C22⋊Q8C2211yescharacteristic, complemented
39C2×C5×C22⋊Q8C2211yescharacteristic, complemented
40C2×C4×C5×D4C2211yescharacteristic
41C22×C5×C4⋊C4C2211yescharacteristic, complemented
42C2×#4092C2211yescharacteristic, complemented
43C2×#4092C2211yescharacteristic, complemented
44C2×#4085C2211yescharacteristic
45C2×#4083C2211yescharacteristic
46C2×D4×Dic5C2211yescharacteristic
47C2×#4076C2211yescharacteristic
48C2×#4076C2211yescharacteristic, complemented
49C2×C4×C22⋊D5C2211yescharacteristic
50C2×C4×C22⋊D5C2211yescharacteristic, complemented
51C22×#685C2211yescharacteristic
52C22×#685C2211yescharacteristic, complemented
53C22×C4×Dic5C2211yescharacteristic, complemented
54#65961—28no—
55#65961—28no—
56C4×D4×D5—28no—
57C2×#4041C2211yescharacteristic
58C2×#4041C2211yescharacteristic
59C2×#4041C2211yescharacteristic, complemented
60C2×#4040C2211yescharacteristic, complemented
61C2×#4040C2211yescharacteristic, complemented
62C2×#4040C2211yescharacteristic, complemented
63C2×#4040C2211yescharacteristic, complemented
64C2×#4039—28no—
65C2×#4039C2211yescharacteristic
66C2×#4039C2211yescharacteristic
67C2×#4039C2211yescharacteristic
68C2×#4039C2211yescharacteristic
69C2×#4039C2211yescharacteristic, complemented
70C2×#4039C2211yescharacteristic, complemented
71C2×#4039C2211yescharacteristic, complemented
72C2×#4039C2211yescharacteristic, complemented
73C2×#4039C2211yescharacteristic, complemented
74C2×#4039C2211yescharacteristic, complemented
75C2×#4039C2211yescharacteristic, complemented
76C2×#4039C2211yescharacteristic, complemented
77C2×#4039C2211yescharacteristic, complemented
78C2×#4038C2211yescharacteristic, complemented
79C2×#4038C2211yescharacteristic, complemented
80C2×D5×C4⋊C4C2211yescharacteristic, complemented
81C2×#4028C2211yescharacteristic
82C2×#4028C2211yescharacteristic
83C2×#4028C2211yescharacteristic
84C2×#4028C2211yescharacteristic
85C2×#4028C2211yescharacteristic, complemented
86C2×#4028C2211yescharacteristic, complemented
87C2×#4027C2211yescharacteristic
88C2×#4027C2211yescharacteristic, complemented
89C2×#4027C2211yescharacteristic, complemented
90C2×#4027C2211yescharacteristic, complemented
91C2×#4027C2211yescharacteristic, complemented
92C2×#4027C2211yescharacteristic, complemented
93C2×D5×C22⋊C4C2211yescharacteristic
94C2×D5×C22⋊C4C2211yescharacteristic, complemented
95C2×C4×D20C2211yescharacteristic, complemented
96C2×C42×D5C2211yescharacteristic, complemented
97C5×#399C2211yescharacteristic, complemented
98C5×#398C2211yescharacteristic, complemented
99C5×#396C2211yescharacteristic, complemented
100C5×#395C2211yescharacteristic, complemented
101C5×#389C2211yescharacteristic, complemented
102C5×#387C2211yescharacteristic, complemented
103C5×#386C2211yescharacteristic
104C5×#386C2211yescharacteristic
105C5×#385C2211yescharacteristic, complemented
106C5×#385C2211yescharacteristic, complemented
107C5×#385C2211yescharacteristic, complemented
108#65520C2211yescharacteristic, complemented
109#65502C2211yescharacteristic
110#65502C2211yescharacteristic, complemented
111#65502C2211yescharacteristic, complemented
112#65502C2211yescharacteristic, complemented
113#65499C2211yescharacteristic, complemented
114#65283C2211yescharacteristic, complemented
115#65283C2211yescharacteristic, complemented
116#65283C2211yescharacteristic, complemented
117#65282C2211yescharacteristic, complemented
118#65281C2211yescharacteristic, complemented
119#65281C2211yescharacteristic, complemented
120#65281C2211yescharacteristic, complemented
121#65280C2211yescharacteristic, complemented
122#65280C2211yescharacteristic, complemented
123#65280C2211yescharacteristic, complemented
124#65280C2211yescharacteristic, complemented
125#65280C2211yescharacteristic, complemented
126#65279C2211yescharacteristic, complemented
127#65279C2211yescharacteristic, complemented
128#65279C2211yescharacteristic, complemented
129#65278C2211yescharacteristic, complemented
130#65278C2211yescharacteristic, complemented
131#65278C2211yescharacteristic, complemented
132#65278C2211yescharacteristic, complemented
133#65278C2211yescharacteristic, complemented
134#65276C2211yescharacteristic, complemented
135#65273C2211yescharacteristic, complemented
136#65270C2211yescharacteristic, complemented
137#65267C2211yescharacteristic, complemented
138C4⋊C4×Dic5C2211yescharacteristic, complemented
139#65250C2211yescharacteristic, complemented
140#65250C2211yescharacteristic, complemented
141#65249C2211yescharacteristic
142#65249C2211yescharacteristic
143#65249C2211yescharacteristic, complemented
144#65249C2211yescharacteristic, complemented
145#65247C2211yescharacteristic
146#65246C2211yescharacteristic, complemented
147#65245C2211yescharacteristic, complemented
148#65245C2211yescharacteristic, complemented
149#65244C2211yescharacteristic
150#65244C2211yescharacteristic, complemented
151#65244C2211yescharacteristic, complemented
152#65239C2211yescharacteristic, complemented
153#65233C2211yescharacteristic, complemented
154#65231C2211yescharacteristic, complemented
155C22⋊C4×Dic5C2211yescharacteristic, complemented
156C22⋊C4×Dic5C2211yescharacteristic, complemented
157#65229C2211yescharacteristic, complemented
158#65228C2211yescharacteristic, complemented
159#64964C2211yescharacteristic, complemented
160#64961C2211yescharacteristic, complemented
161#64961C2211yescharacteristic, complemented
162#64960C2211yescharacteristic
163#64960C2211yescharacteristic
164#64960C2211yescharacteristic, complemented
165#64960C2211yescharacteristic, complemented
166#64960C2211yescharacteristic, complemented
167#64959C2211yescharacteristic, complemented
168#64959C2211yescharacteristic, complemented
169#64958C2211yescharacteristic, complemented
170#64957C2211yescharacteristic, complemented
171#64957C2211yescharacteristic, complemented
172#64957C2211yescharacteristic, complemented
173#64955C2211yescharacteristic, complemented
174#64955C2211yescharacteristic, complemented
175#64955C2211yescharacteristic, complemented
176#64955C2211yescharacteristic, complemented
177#64955C2211yescharacteristic, complemented
178#64955C2211yescharacteristic, complemented
179#64954C2211yescharacteristic
180#64954C2211yescharacteristic
181#64954C2211yescharacteristic
182#64954C2211yescharacteristic
183#64954C2211yescharacteristic, complemented
184#64954C2211yescharacteristic, complemented
185#64954C2211yescharacteristic, complemented
186#64954C2211yescharacteristic, complemented
187#64944C2211yescharacteristic, complemented
188#64938C2211yescharacteristic, complemented
189#64937C2211yescharacteristic, complemented
190#64936C2211yescharacteristic, complemented
191#34655—51nomaximal, Sylow
192C24×D5C2311yescharacteristic
193C24×D5C2311yescharacteristic
194C24×D5C2311yescharacteristic
195C22×C5×Q8C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C23×Dic5C2311yescharacteristic
208C23×Dic5C2311yescharacteristic
209C23×Dic5C2311yescharacteristic
210C2×#713—24no—
211C2×#713—24no—
212C2×#713—42no—
213C2×D4×D5—24no—
214C2×D4×D5—24no—
215C2×D4×D5—24no—
216C22×D20—24no—
217C22×D20—24no—
218C22×D20—24no—
219C22×D20C2311yescharacteristic
220C22×D20C2311yescharacteristic
221C22×D20C2311yescharacteristic
222C22×D20C2311yescharacteristic
223C22×D20C2311yescharacteristic
224C22×D20C2311yescharacteristic
225C22×D20C2311yescharacteristic
226C22×D20C2311yescharacteristic
227C22×D20C2311yescharacteristic
228C22×D20C2311yescharacteristic
229C22×D20C2311yescharacteristic
230C22×D20C2311yescharacteristic
231C22×C4×D5—24no—
232C22×C4×D5—24no—
233C22×C4×D5—24no—
234C22×C4×D5—24no—
235C22×C4×D5—24no—
236C22×C4×D5—24no—
237C22×C4×D5—42no—
238C22×C4×D5—42no—
239C22×C4×D5—42no—
240C22×C4×D5C2311yescharacteristic
241C22×C4×D5C2311yescharacteristic
242C22×C4×D5C2311yescharacteristic
243C22×C4×D5C2311yescharacteristic
244C22×C4×D5C2311yescharacteristic
245C22×C4×D5C2311yescharacteristic
246C22×C4×D5C2311yescharacteristic
247C22×C4×D5C2311yescharacteristic
248C22×C4×D5C2311yescharacteristic
249C22×C4×D5C2311yescharacteristic
250C22×C4×D5C2311yescharacteristic
251C22×C4×D5C2311yescharacteristic
252C22×C4×D5C2311yescharacteristic
253C22×C4×D5C2311yescharacteristic
254C5×C22⋊Q8—24no—
255C5×C22⋊Q8—24no—
256C4×C5×D4—24no—
257C2×C5×C4⋊C4—24no—
258C2×C5×C4⋊C4C2311yescharacteristic
259C2×C5×C4⋊C4C2311yescharacteristic
260C2×C5×C4⋊C4C2311yescharacteristic
261C2×C5×C4⋊C4C2311yescharacteristic
262C2×C5×C4⋊C4C2311yescharacteristic
263C2×C5×C4⋊C4C2311yescharacteristic
264C2×C5×C4⋊C4C2311yescharacteristic
265C2×C5×C4⋊C4C2311yescharacteristic
266C2×C5×C4⋊C4C2311yescharacteristic
267C2×C5×C4⋊C4C2311yescharacteristic
268C2×C5×C4⋊C4C2311yescharacteristic
269C2×C5×C4⋊C4C2311yescharacteristic
270C2×C5×C22⋊C4C2311yescharacteristic
271C2×C5×C22⋊C4C2311yescharacteristic
272C2×C5×C22⋊C4C2311yescharacteristic
273C2×C5×C22⋊C4C2311yescharacteristic
274C2×C5×C22⋊C4C2311yescharacteristic
275C2×C5×C22⋊C4C2311yescharacteristic
276C2×C5×C22⋊C4C2311yescharacteristic
277C2×C5×C22⋊C4C2311yescharacteristic
278C2×C42×C5C2311yescharacteristic
279C2×C22⋊Dic5C2311yescharacteristic
280C2×C22⋊Dic5C2311yescharacteristic
281C2×C22⋊Dic5C2311yescharacteristic
282C2×C22⋊Dic5C2311yescharacteristic
283#4092—24no—
284#4092—24no—
285#4085—24no—
286#4083—24no—
287D4×Dic5—24no—
288#4076—24no—
289#4076—24no—
290C4×C22⋊D5—24no—
291C4×C22⋊D5—24no—
292C2×#685—24no—
293C2×#685—24no—
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×#685C2311yescharacteristic
297C2×#685C2311yescharacteristic
298C2×#685C2311yescharacteristic
299C2×#685C2311yescharacteristic
300C2×#685C2311yescharacteristic
301C2×#685C2311yescharacteristic
302C2×#685C2311yescharacteristic
303C2×#685C2311yescharacteristic
304C2×#685C2311yescharacteristic
305C2×#685C2311yescharacteristic
306C2×#685C2311yescharacteristic
307C2×#685C2311yescharacteristic
308C2×#685C2311yescharacteristic
309C2×#685C2311yescharacteristic
310C2×#685C2311yescharacteristic
311C2×#685C2311yescharacteristic
312C2×#685C2311yescharacteristic
313C2×#685C2311yescharacteristic
314C2×#685C2311yescharacteristic
315C2×#685C2311yescharacteristic
316C2×#685C2311yescharacteristic
317C2×#685C2311yescharacteristic
318C2×#685C2311yescharacteristic
319C2×#685C2311yescharacteristic
320C2×#685C2311yescharacteristic
321C2×#685C2311yescharacteristic
322C2×#685C2311yescharacteristic
323C2×#685C2311yescharacteristic
324C2×#685C2311yescharacteristic
325C2×#685C2311yescharacteristic
326C2×#685C2311yescharacteristic
327C2×#685C2311yescharacteristic
328C2×#685C2311yescharacteristic
329C2×#685C2311yescharacteristic
330C2×#685C2311yescharacteristic
331C2×#685C2311yescharacteristic
332C2×#685C2311yescharacteristic
333C2×#685C2311yescharacteristic
334C2×C4⋊Dic5C2311yescharacteristic
335C2×C4⋊Dic5C2311yescharacteristic
336C2×C4⋊Dic5C2311yescharacteristic
337C2×C4⋊Dic5C2311yescharacteristic
338C2×#683C2311yescharacteristic
339C2×#683C2311yescharacteristic
340C2×#683C2311yescharacteristic
341C2×#683C2311yescharacteristic
342C2×#683C2311yescharacteristic
343C2×#683C2311yescharacteristic
344C2×#683C2311yescharacteristic
345C2×#683C2311yescharacteristic
346C2×C4×Dic5—24no—
347C2×C4×Dic5C2311yescharacteristic
348C2×C4×Dic5C2311yescharacteristic
349C2×C4×Dic5C2311yescharacteristic
350C2×C4×Dic5C2311yescharacteristic
351C2×C4×Dic5C2311yescharacteristic
352C2×C4×Dic5C2311yescharacteristic
353C2×C4×Dic5C2311yescharacteristic
354C2×C4×Dic5C2311yescharacteristic
355C2×C4×Dic5C2311yescharacteristic
356C2×C4×Dic5C2311yescharacteristic
357#4041—24no—
358#4041—24no—
359#4041—24no—
360#4040—24no—
361#4040—24no—
362#4040—24no—
363#4040—24no—
364#4039—24no—
365#4039—24no—
366#4039—24no—
367#4039—24no—
368#4039—24no—
369#4039—24no—
370#4039—24no—
371#4039—24no—
372#4039—24no—
373#4039—24no—
374#4039—24no—
375#4039—42no—
376#4039D418yescomplemented
377#4038—24no—
378#4038—24no—
379D5×C4⋊C4—24no—
380#4028—24no—
381#4028—24no—
382#4028—24no—
383#4028—24no—
384#4028—24no—
385#4028—24no—
386#4027—24no—
387#4027—24no—
388#4027—24no—
389#4027—24no—
390#4027—42no—
391#4027D418yescomplemented
392D5×C22⋊C4—24no—
393D5×C22⋊C4—24no—
394C4×D20—24no—
395C42×D5—24no—
396C5×#95C2311yescharacteristic
397C5×#95C2311yescharacteristic
398C5×#95C2311yescharacteristic
399C5×#95C2311yescharacteristic
400C5×#95C2311yescharacteristic
401C5×#95C2311yescharacteristic
402C5×#95C2311yescharacteristic
403C5×#95C2311yescharacteristic
404#3963C2311yescharacteristic
405#3963C2311yescharacteristic
406#3963C2311yescharacteristic
407#3963C2311yescharacteristic
408#3963C2311yescharacteristic
409#3963C2311yescharacteristic
410#3963C2311yescharacteristic
411#3963C2311yescharacteristic
412#3963C2311yescharacteristic
413#3963C2311yescharacteristic
414#3963C2311yescharacteristic
415#3963C2311yescharacteristic
416#3963C2311yescharacteristic
417#3963C2311yescharacteristic
418#3963C2311yescharacteristic
419#3963C2311yescharacteristic
420C2×#525—51no—
421C2×#525—51no—
422C22×C4×D4—51no—
423C22×C4×D4—51no—
424#2463—51no—
425#2456—51no—
426#2456—51no—
427#2455—51no—
428#2449—51no—
429#2449D511yescharacteristic, complemented
430#2443—51no—
431#2443—51no—
432#2437—51no—
433#2424—51no—
434#2424—51no—
435#2418—51no—
436#2418—51no—
437#2410—51no—
438#2410—51no—
439#2403—51no—
440#2397—51no—
441#2392—51no—
442#2392—51no—
443#2388—51no—
444C4×#121—51no—
445C4×#121—51no—
446C4×#120—51no—
447C4×#120—51no—
448C4×#120—51no—
449#2290—51no—
450#2290—51no—
451C24×C5C2411yescharacteristic
452C24×C5C2411yescharacteristic
453C23×D5—22no—
454C23×D5—22no—
455C23×D5—22no—
456C23×D5—22no—
457C23×D5—22no—
458C23×D5—22no—
459C23×D5—22no—
460C23×D5—22no—
461C23×D5—22no—
462C23×D5—22no—
463C23×D5—22no—
464C23×D5—22no—
465C23×D5—22no—
466C23×D5—22no—
467C23×D5—41no—
468C23×D5—41no—
469C23×D5—41no—
470C23×D5—41no—
471C23×D5—41no—
472C23×D5—41no—
473C23×D5#4114yescomplemented
474C23×D5C2411yescharacteristic
475C23×D5C2411yescharacteristic
476C23×D5C2411yescharacteristic
477C23×D5C2411yescharacteristic
478C23×D5C2411yescharacteristic
479C23×D5C2411yescharacteristic
480C2×C5×Q8—22no—
481C2×C5×Q8—22no—
482C2×C5×Q8—41no—
483C2×C5×D4—22no—
484C2×C5×D4—22no—
485C2×C5×D4#4114yescomplemented
486C22×C4×C5—22no—
487C22×C4×C5—22no—
488C22×C4×C5—22no—
489C22×C4×C5—22no—
490C22×C4×C5—22no—
491C22×C4×C5—22no—
492C22×C4×C5—22no—
493C22×C4×C5—22no—
494C22×C4×C5—22no—
495C22×C4×C5—41no—
496C22×C4×C5—41no—
497C22×C4×C5—41no—
498C22×C4×C5C2411yescharacteristic
499C22×C4×C5C2411yescharacteristic
500C22×C4×C5C2411yescharacteristic
501C22×C4×C5C2411yescharacteristic
502C22×C4×C5C2411yescharacteristic
503C22×C4×C5C2411yescharacteristic
504C22×C4×C5C2411yescharacteristic
505C22×C4×C5C2411yescharacteristic
506C22×C4×C5C2411yescharacteristic
507C22×C4×C5C2411yescharacteristic
508C22×C4×C5C2411yescharacteristic
509C22×C4×C5C2411yescharacteristic
510C22×C4×C5C2411yescharacteristic
511C2×C22⋊D5—22no—
512C2×C22⋊D5—22no—
513C2×C22⋊D5—22no—
514C2×C22⋊D5—22no—
515C2×C22⋊D5—22no—
516C2×C22⋊D5—22no—
517C2×C22⋊D5—22no—
518C2×C22⋊D5—22no—
519C2×C22⋊D5—22no—
520C2×C22⋊D5—22no—
521C2×C22⋊D5—22no—
522C2×C22⋊D5—22no—
523C2×C22⋊D5—22no—
524C2×C22⋊D5—22no—
525C2×C22⋊D5—41no—
526C2×C22⋊D5—41no—
527C2×C22⋊D5—41no—
528C2×C22⋊D5C2×D414yes—
529C22×Dic5—22no—
530C22×Dic5—22no—
531C22×Dic5—22no—
532C22×Dic5—22no—
533C22×Dic5—22no—
534C22×Dic5—22no—
535C22×Dic5—22no—
536C22×Dic5—41no—
537C22×Dic5C2×D414yes—
538C22×Dic5C2411yescharacteristic
539C22×Dic5C2411yescharacteristic
540C22×Dic5C2411yescharacteristic
541C22×Dic5C2411yescharacteristic
542C22×Dic5C2411yescharacteristic
543C22×Dic5C2411yescharacteristic
544C22×Dic5C2411yescharacteristic
545C22×Dic5C2411yescharacteristic
546C22×Dic5C2411yescharacteristic
547C22×Dic5C2411yescharacteristic
548#713—416no—
549D4×D5—232no—
550C2×D20—232no—
551C2×D20—22no—
552C2×D20—22no—
553C2×D20—22no—
554C2×D20—22no—
555C2×D20—22no—
556C2×D20—22no—
557C2×D20—22no—
558C2×D20—22no—
559C2×D20—22no—
560C2×D20—22no—
561C2×D20—22no—
562C2×D20—22no—
563C2×D20—22no—
564C2×D20—22no—
565C2×D20—22no—
566C2×D20—22no—
567C2×D20—22no—
568C2×D20—22no—
569C2×D20—22no—
570C2×D20—22no—
571C2×D20—22no—
572C2×D20—22no—
573C2×D20—22no—
574C2×D20—22no—
575C2×D20—22no—
576C2×D20—22no—
577C2×D20—22no—
578C2×D20—41no—
579C2×D20—41no—
580C2×D20—41no—
581C2×D20—41no—
582C2×D20—41no—
583C2×D20—41no—
584C2×D20—41no—
585C2×D20C2×D414yes—
586C2×D20#4114yescomplemented
587C2×C4×D5—22no—
588C2×C4×D5—22no—
589C2×C4×D5—22no—
590C2×C4×D5—22no—
591C2×C4×D5—22no—
592C2×C4×D5—22no—
593C2×C4×D5—22no—
594C2×C4×D5—22no—
595C2×C4×D5—22no—
596C2×C4×D5—22no—
597C2×C4×D5—22no—
598C2×C4×D5—22no—
599C2×C4×D5—22no—
600C2×C4×D5—22no—
601C2×C4×D5—22no—
602C2×C4×D5—22no—
603C2×C4×D5—22no—
604C2×C4×D5—22no—
605C2×C4×D5—22no—
606C2×C4×D5—22no—
607C2×C4×D5—22no—
608C2×C4×D5—22no—
609C2×C4×D5—22no—
610C2×C4×D5—22no—
611C2×C4×D5—22no—
612C2×C4×D5—22no—
613C2×C4×D5—22no—
614C2×C4×D5—22no—
615C2×C4×D5—22no—
616C2×C4×D5—22no—
617C2×C4×D5—22no—
618C2×C4×D5—22no—
619C2×C4×D5—416no—
620C2×C4×D5—416no—
621C2×C4×D5—416no—
622C2×C4×D5—41no—
623C2×C4×D5—41no—
624C2×C4×D5—41no—
625C2×C4×D5—41no—
626C2×C4×D5—41no—
627C2×C4×D5—41no—
628C2×C4×D5—41no—
629C2×C4×D5C2×D414yes—
630C2×C4×D5C2×D414yescomplemented
631C2×C4×D5C2×D414yescomplemented
632C5×C4⋊C4—22no—
633C5×C4⋊C4—22no—
634C5×C4⋊C4—22no—
635C5×C4⋊C4—22no—
636C5×C4⋊C4—22no—
637C5×C4⋊C4—22no—
638C5×C4⋊C4—22no—
639C5×C4⋊C4—22no—
640C5×C4⋊C4—22no—
641C5×C4⋊C4—22no—
642C5×C4⋊C4—41no—
643C5×C4⋊C4C2×D414yescomplemented
644C5×C22⋊C4—22no—
645C5×C22⋊C4—22no—
646C5×C22⋊C4—22no—
647C5×C22⋊C4—22no—
648C5×C22⋊C4—22no—
649C5×C22⋊C4—22no—
650C5×C22⋊C4—41no—
651C5×C22⋊C4C2×D414yes—
652C42×C5—22no—
653C22⋊Dic5—22no—
654C22⋊Dic5—22no—
655C22⋊Dic5—22no—
656C22⋊Dic5—22no—
657#685—22no—
658#685—22no—
659#685—22no—
660#685—22no—
661#685—22no—
662#685—22no—
663#685—22no—
664#685—22no—
665#685—22no—
666#685—22no—
667#685—22no—
668#685—22no—
669#685—22no—
670#685—22no—
671#685—22no—
672#685—22no—
673#685—22no—
674#685—22no—
675#685—22no—
676#685—22no—
677#685—22no—
678#685—22no—
679#685—22no—
680#685—22no—
681#685—22no—
682#685—22no—
683#685—22no—
684#685—22no—
685#685—22no—
686#685—22no—
687#685—22no—
688#685—41no—
689#685—41no—
690#685—41no—
691#685—41no—
692#685—41no—
693#685—41no—
694#685C2×D414yes—
695#685C2×D414yescomplemented
696#685C2×D414yescomplemented
697C4⋊Dic5—22no—
698C4⋊Dic5—22no—
699C4⋊Dic5—22no—
700C4⋊Dic5—41no—
701#683—22no—
702#683—22no—
703#683—22no—
704#683—22no—
705#683—22no—
706#683—41no—
707#683—41no—
708#683C2×D414yescomplemented
709C4×Dic5—22no—
710C4×Dic5—22no—
711C4×Dic5—22no—
712C4×Dic5—22no—
713C4×Dic5—22no—
714C4×Dic5—22no—
715C4×Dic5—22no—
716C4×Dic5—22no—
717C4×Dic5C2×D414yescomplemented
718C4×Dic5C2×D414yescomplemented
719C22×#41—51no—
720C23×D4—51no—
721C23×D4—51no—
722C24×C4—51no—
723C24×C4—51no—
724C24×C4—51no—
725#525—108no—
726#525—108no—
727C2×#123—51no—
728C2×#123—51no—
729C2×#123—51no—
730C2×#123—51no—
731C2×C22⋊Q8—51no—
732C2×C22⋊Q8—51no—
733C2×C22⋊Q8C2×D511yescharacteristic, complemented
734C2×C22⋊Q8C2×D511yescharacteristic, complemented
735C2×#121—51no—
736C2×#121—51no—
737C2×#121—51no—
738C2×#121—51no—
739C2×#121—51no—
740C2×#121—51no—
741C2×#120—51no—
742C2×#120—51no—
743C2×#120—51no—
744C2×#120—51no—
745C2×#120—51no—
746C2×#120—51no—
747C2×#120—51no—
748C2×C4×D4—51no—
749C2×C4×D4—51no—
750C2×C4×D4—51no—
751C2×C4×D4—51no—
752C2×C4×D4—51no—
753C2×C4×D4—51no—
754C2×C4×D4—51no—
755C2×C4×D4—51no—
756C2×C4×D4—51no—
757C2×C4×D4—51no—
758C2×C4×D4—51no—
759C2×C4×D4—51no—
760C2×C4×D4—51no—
761C2×C4×D4—51no—
762C2×C4×D4—51no—
763C2×C4×D4—51no—
764C2×C4×D4—51no—
765C2×C4×D4—51no—
766C2×C4×D4—51no—
767C2×C4×D4—51no—
768C2×C4×D4—51no—
769C2×C4×D4—51no—
770C2×C4×D4—51no—
771C2×C4×D4—108no—
772C2×C4×D4—108no—
773C2×C4×D4C2×D511yescharacteristic
774C2×#117—51no—
775C2×#117—51no—
776C22×C4⋊C4—51no—
777C22×C4⋊C4C2×D511yescharacteristic, complemented
778C22×C22⋊C4—51no—
779C22×C22⋊C4—51no—
780C22×C22⋊C4—51no—
781C22×C22⋊C4—51no—
782C22×C42—51no—
783C22×C42—51no—
784#399—51no—
785#399—51no—
786#399—51no—
787#399C2×D511yescharacteristic, complemented
788#398—51no—
789#398C2×D511yescharacteristic, complemented
790#397—51no—
791#397—51no—
792#396—51no—
793#396—51no—
794#396—51no—
795#396C2×D511yescharacteristic, complemented
796#395C2×D511yescharacteristic, complemented
797#394—51no—
798#394—51no—
799#394—51no—
800#394—51no—
801#394—51no—
802#394—51no—
803#394—51no—
804#394—51no—
805#394—51no—
806#393—51no—
807#392—51no—
808#392—51no—
809#392—51no—
810#392—51no—
811#392—51no—
812#392—51no—
813#392—51no—
814#392—51no—
815#392—51no—
816#390—51no—
817#390—51no—
818#389—51no—
819#389C2×D511yescharacteristic, complemented
820#388—51no—
821#388—51no—
822#388—51no—
823#388—51no—
824#388—51no—
825#388—51no—
826#388—51no—
827#388—51no—
828#387—51no—
829#387—51no—
830#387—51no—
831#387C2×D511yescharacteristic, complemented
832#386—51no—
833#386—51no—
834#386—51no—
835#386—51no—
836#386—51no—
837#386—51no—
838#386—51no—
839#386—51no—
840#386—51no—
841#386—51no—
842#386—51no—
843#386—51no—
844#386—51no—
845#386—51no—
846#386—51no—
847#386C2×D511yescharacteristic
848#386C2×D511yescharacteristic
849#385—51no—
850#385—51no—
851#385—51no—
852#385—51no—
853#385—51no—
854#385—51no—
855#385—51no—
856#385—51no—
857#385—51no—
858#385—51no—
859#385C2×D511yescharacteristic, complemented
860#385C2×D511yescharacteristic, complemented
861#385C2×D511yescharacteristic, complemented
862#380—51no—
863#380—51no—
864#379—51no—
865#379—51no—
866#379—51no—
867C4×C4⋊C4—51no—
868C4×C4⋊C4—51no—
869C4×C22⋊C4—51no—
870C4×C22⋊C4—51no—
871C4×C22⋊C4—51no—
872C4×C22⋊C4—51no—
873C4×C22⋊C4—51no—
874C4×C22⋊C4—51no—
875C4×C22⋊C4—51no—
876C4×C22⋊C4—51no—
877#376—51no—
878C23×C5—21no—
879C23×C5—21no—
880C23×C5—21no—
881C23×C5—21no—
882C23×C5—21no—
883C23×C5—21no—
884C23×C5—21no—
885C23×C5—21no—
886C23×C5—21no—
887C23×C5—21no—
888C23×C5C22×D412yes—
889C23×C5C2×#4112yes—
890C23×C5C2×#4112yes—
891C23×C5C2×#4112yes—
892C23×C5C2511yescharacteristic
893C22×D5—21no—
894C22×D5—21no—
895C22×D5—21no—
896C22×D5—21no—
897C22×D5—28no—
898C22×D5—28no—
899C22×D5—28no—
900C22×D5—21no—
901C22×D5—21no—
902C22×D5—21no—
903C22×D5—21no—
904C22×D5—21no—
905C22×D5—21no—
906C22×D5—21no—
907C22×D5—21no—
908C22×D5—21no—
909C22×D5—21no—
910C22×D5—21no—
911C22×D5—21no—
912C22×D5—21no—
913C22×D5—21no—
914C22×D5—21no—
915C22×D5—21no—
916C22×D5—21no—
917C22×D5—21no—
918C22×D5—21no—
919C22×D5—21no—
920C22×D5—21no—
921C22×D5—21no—
922C22×D5—21no—
923C22×D5—21no—
924C22×D5—28no—
925C22×D5—21no—
926C22×D5—21no—
927C22×D5—21no—
928C22×D5—21no—
929C22×D5—21no—
930C22×D5—21no—
931C22×D5—21no—
932C22×D5—44no—
933C22×D5—44no—
934C22×D5—44no—
935C22×D5—44no—
936C22×D5—44no—
937C22×D5—44no—
938C22×D5—44no—
939C22×D5—44no—
940C22×D5—44no—
941C22×D5—44no—
942C22×D5—44no—
943C22×D5—44no—
944C22×D5—44no—
945C22×D5—44no—
946C22×D5—44no—
947C22×D5—44no—
948C22×D5—44no—
949C22×D5C22×D412yes—
950C22×D5C22×D412yes—
951C22×D5C22×D412yes—
952C22×D5C2×#4112yes—
953C22×D5C2×#4112yes—
954C22×D5C2×#4112yes—
955C22×D5C2×#4112yes—
956C5×Q8—44no—
957C5×D4—28no—
958C2×C4×C5—28no—
959C2×C4×C5—21no—
960C2×C4×C5—21no—
961C2×C4×C5—21no—
962C2×C4×C5—21no—
963C2×C4×C5—21no—
964C2×C4×C5—21no—
965C2×C4×C5—21no—
966C2×C4×C5—21no—
967C2×C4×C5—21no—
968C2×C4×C5—21no—
969C2×C4×C5—21no—
970C2×C4×C5—21no—
971C2×C4×C5—21no—
972C2×C4×C5—21no—
973C2×C4×C5—21no—
974C2×C4×C5—21no—
975C2×C4×C5—21no—
976C2×C4×C5—21no—
977C2×C4×C5—21no—
978C2×C4×C5—21no—
979C2×C4×C5—21no—
980C2×C4×C5—21no—
981C2×C4×C5—21no—
982C2×C4×C5—21no—
983C2×C4×C5—21no—
984C2×C4×C5—21no—
985C2×C4×C5—21no—
986C2×C4×C5—21no—
987C2×C4×C5—21no—
988C2×C4×C5—21no—
989C2×C4×C5—21no—
990C2×C4×C5—21no—
991C2×C4×C5—44no—
992C2×C4×C5—44no—
993C2×C4×C5—44no—
994C2×C4×C5C22×D412yes—
995C2×C4×C5C22×D412yes—
996C2×C4×C5C22×D412yes—
997C2×C4×C5C22×D412yes—
998C2×C4×C5C22×D412yes—
999C2×C4×C5C2×#4112yes—
1000C2×C4×C5C2×#4112yes—
1001C22⋊D5—28no—
1002C22⋊D5—28no—
1003C22⋊D5—44no—
1004C22⋊D5—44no—
1005C22⋊D5—44no—
1006C22⋊D5—44no—
1007C2×Dic5—21no—
1008C2×Dic5—21no—
1009C2×Dic5—21no—
1010C2×Dic5—21no—
1011C2×Dic5—21no—
1012C2×Dic5—21no—
1013C2×Dic5—28no—
1014C2×Dic5—21no—
1015C2×Dic5—21no—
1016C2×Dic5—21no—
1017C2×Dic5—21no—
1018C2×Dic5—21no—
1019C2×Dic5—21no—
1020C2×Dic5—21no—
1021C2×Dic5—21no—
1022C2×Dic5—21no—
1023C2×Dic5—21no—
1024C2×Dic5—21no—
1025C2×Dic5—21no—
1026C2×Dic5—21no—
1027C2×Dic5—21no—
1028C2×Dic5—21no—
1029C2×Dic5—21no—
1030C2×Dic5—21no—
1031C2×Dic5—21no—
1032C2×Dic5—44no—
1033C2×Dic5—44no—
1034C2×Dic5C22×D412yes—
1035C2×Dic5C22×D412yes—
1036C2×Dic5C22×D412yes—
1037C2×Dic5C22×D412yes—
1038C2×Dic5C22×D412yes—
1039C2×Dic5H(5,𝔽2)12yes—
1040D20—28no—
1041D20—28no—
1042D20—28no—
1043D20—28no—
1044D20—28no—
1045D20—44no—
1046D20—44no—
1047D20—44no—
1048D20—44no—
1049D20—44no—
1050D20—44no—
1051D20—44no—
1052C4×D5—28no—
1053C4×D5—28no—
1054C4×D5—28no—
1055C4×D5—28no—
1056C4×D5—44no—
1057C4×D5—44no—
1058C4×D5—44no—
1059C4×D5—44no—
1060C4×D5—44no—
1061C4×D5—44no—
1062C4×D5—44no—
1063C4×D5—44no—
1064C4×D5—44no—
1065C4×D5—44no—
1066C25—51no—
1067C25—51no—
1068C25—51no—
1069C2×#41—104no—
1070C2×#41—104no—
1071C2×#41—202no—
1072C22×Q8C22×D511yescharacteristic
1073C22×D4—51no—
1074C22×D4—51no—
1075C22×D4—51no—
1076C22×D4—51no—
1077C22×D4—51no—
1078C22×D4—51no—
1079C22×D4—51no—
1080C22×D4—51no—
1081C22×D4—51no—
1082C22×D4—51no—
1083C22×D4—51no—
1084C22×D4—51no—
1085C22×D4—51no—
1086C22×D4—51no—
1087C22×D4—51no—
1088C22×D4—51no—
1089C22×D4—51no—
1090C22×D4—51no—
1091C22×D4—104no—
1092C22×D4—104no—
1093C22×D4—104no—
1094C22×D4—104no—
1095C22×D4—104no—
1096C22×D4—104no—
1097C22×D4C22×D511yescharacteristic
1098C23×C4—51no—
1099C23×C4—51no—
1100C23×C4—51no—
1101C23×C4—51no—
1102C23×C4—51no—
1103C23×C4—51no—
1104C23×C4—51no—
1105C23×C4—51no—
1106C23×C4—51no—
1107C23×C4—51no—
1108C23×C4—51no—
1109C23×C4—51no—
1110C23×C4—51no—
1111C23×C4—51no—
1112C23×C4—51no—
1113C23×C4—51no—
1114C23×C4—51no—
1115C23×C4—104no—
1116C23×C4—104no—
1117C23×C4—104no—
1118C23×C4—104no—
1119C23×C4—104no—
1120C23×C4—104no—
1121C23×C4—202no—
1122C23×C4—202no—
1123C23×C4—202no—
1124C23×C4C22×D511yescharacteristic
1125C23×C4C22×D511yescharacteristic
1126C23×C4C22×D511yescharacteristic
1127C23×C4C22×D511yescharacteristic
1128#123—104no—
1129#123—104no—
1130#123—104no—
1131#123—104no—
1132C22⋊Q8—24no—
1133C22⋊Q8—24no—
1134C22⋊Q8—104no—
1135C22⋊Q8—104no—
1136#121—104no—
1137#121—104no—
1138#121—104no—
1139#121—104no—
1140#121—104no—
1141#121—104no—
1142#120—104no—
1143#120—104no—
1144#120—104no—
1145#120—104no—
1146#120—104no—
1147#120—104no—
1148#120—104no—
1149C4×D4—24no—
1150C4×D4—58no—
1151C4×D4—58no—
1152C4×D4—104no—
1153C4×D4—104no—
1154C4×D4—104no—
1155C4×D4—104no—
1156C4×D4—104no—
1157C4×D4—104no—
1158C4×D4—104no—
1159C4×D4—104no—
1160C4×D4—104no—
1161C4×D4—104no—
1162C4×D4—104no—
1163C4×D4—104no—
1164C4×D4—104no—
1165C4×D4—104no—
1166C4×D4—104no—
1167C4×D4—104no—
1168C4×D4—104no—
1169C4×D4—104no—
1170C4×D4—104no—
1171C4×D4—202no—
1172C4×D4—202no—
1173#117—104no—
1174#117—104no—
1175C2×C4⋊C4—24no—
1176C2×C4⋊C4—51no—
1177C2×C4⋊C4—51no—
1178C2×C4⋊C4—51no—
1179C2×C4⋊C4—51no—
1180C2×C4⋊C4—51no—
1181C2×C4⋊C4—51no—
1182C2×C4⋊C4—51no—
1183C2×C4⋊C4—51no—
1184C2×C4⋊C4—51no—
1185C2×C4⋊C4—51no—
1186C2×C4⋊C4—51no—
1187C2×C4⋊C4—51no—
1188C2×C4⋊C4—104no—
1189C2×C4⋊C4C22×D511yescharacteristic
1190C2×C4⋊C4C22×D511yescharacteristic
1191C2×C4⋊C4C22×D511yescharacteristic
1192C2×C4⋊C4C22×D511yescharacteristic
1193C2×C4⋊C4C22×D511yescharacteristic
1194C2×C4⋊C4C22×D511yescharacteristic
1195C2×C4⋊C4C22×D511yescharacteristic
1196C2×C4⋊C4C22×D511yescharacteristic
1197C2×C4⋊C4C22×D511yescharacteristic
1198C2×C4⋊C4C22×D511yescharacteristic
1199C2×C4⋊C4C22×D511yescharacteristic
1200C2×C4⋊C4C22×D511yescharacteristic
1201C2×C22⋊C4—51no—
1202C2×C22⋊C4—51no—
1203C2×C22⋊C4—51no—
1204C2×C22⋊C4—51no—
1205C2×C22⋊C4—51no—
1206C2×C22⋊C4—51no—
1207C2×C22⋊C4—51no—
1208C2×C22⋊C4—51no—
1209C2×C22⋊C4—51no—
1210C2×C22⋊C4—51no—
1211C2×C22⋊C4—51no—
1212C2×C22⋊C4—51no—
1213C2×C22⋊C4—51no—
1214C2×C22⋊C4—51no—
1215C2×C22⋊C4—51no—
1216C2×C22⋊C4—51no—
1217C2×C22⋊C4—51no—
1218C2×C22⋊C4—51no—
1219C2×C22⋊C4—51no—
1220C2×C22⋊C4—51no—
1221C2×C22⋊C4—51no—
1222C2×C22⋊C4—51no—
1223C2×C22⋊C4—51no—
1224C2×C22⋊C4—51no—
1225C2×C22⋊C4—51no—
1226C2×C22⋊C4—51no—
1227C2×C22⋊C4—51no—
1228C2×C22⋊C4—51no—
1229C2×C22⋊C4—51no—
1230C2×C22⋊C4—51no—
1231C2×C22⋊C4—51no—
1232C2×C22⋊C4—51no—
1233C2×C22⋊C4—51no—
1234C2×C22⋊C4—51no—
1235C2×C22⋊C4—51no—
1236C2×C22⋊C4—51no—
1237C2×C22⋊C4—51no—
1238C2×C22⋊C4—51no—
1239C2×C22⋊C4—51no—
1240C2×C22⋊C4—51no—
1241C2×C22⋊C4—51no—
1242C2×C22⋊C4—51no—
1243C2×C22⋊C4—51no—
1244C2×C22⋊C4—51no—
1245C2×C22⋊C4—104no—
1246C2×C22⋊C4—104no—
1247C2×C22⋊C4—104no—
1248C2×C22⋊C4—104no—
1249C2×C22⋊C4C22×D511yescharacteristic
1250C2×C22⋊C4C22×D511yescharacteristic
1251C2×C22⋊C4C22×D511yescharacteristic
1252C2×C22⋊C4C22×D511yescharacteristic
1253C2×C22⋊C4C22×D511yescharacteristic
1254C2×C22⋊C4C22×D511yescharacteristic
1255C2×C22⋊C4C22×D511yescharacteristic
1256C2×C22⋊C4C22×D511yescharacteristic
1257C2×C42—51no—
1258C2×C42—51no—
1259C2×C42—51no—
1260C2×C42—51no—
1261C2×C42—51no—
1262C2×C42—51no—
1263C2×C42—51no—
1264C2×C42—51no—
1265C2×C42—51no—
1266C2×C42—51no—
1267C2×C42—104no—
1268C2×C42—104no—
1269C2×C42C22×D511yescharacteristic
1270#95—51no—
1271#95—51no—
1272#95—51no—
1273#95—51no—
1274#95—51no—
1275#95—51no—
1276#95—51no—
1277#95—51no—
1278#95—51no—
1279#95—51no—
1280#95—51no—
1281#95—51no—
1282#95—51no—
1283#95—51no—
1284#95—51no—
1285#95—51no—
1286#95C22×D511yescharacteristic
1287#95C22×D511yescharacteristic
1288#95C22×D511yescharacteristic
1289#95C22×D511yescharacteristic
1290#95C22×D511yescharacteristic
1291#95C22×D511yescharacteristic
1292#95C22×D511yescharacteristic
1293#95C22×D511yescharacteristic
1294C22×C5—22no—
1295C22×C5—22no—
1296C22×C5—22no—
1297C22×C5—22no—
1298C22×C5—22no—
1299C22×C5—22no—
1300C22×C5—22no—
1301C22×C5—22no—
1302C22×C5—22no—
1303C22×C5—41no—
1304C22×C5—41no—
1305C22×C5—41no—
1306C22×C5—41no—
1307C22×C5#52514yescomplemented
1308C22×C5C23×D411yescharacteristic
1309C22×C5C23×D411yescharacteristic
1310C22×C5C22×#4111yescharacteristic
1311C22×C5C22×#4111yescharacteristic
1312C22×C5C22×#4111yescharacteristic
1313C22×C5C2×H(5,𝔽2)11yescharacteristic
1314C22×C5#58511yescharacteristic
1315C2×D5—22no—
1316C2×D5—22no—
1317C2×D5—22no—
1318C2×D5—22no—
1319C2×D5—22no—
1320C2×D5—22no—
1321C2×D5—22no—
1322C2×D5—22no—
1323C2×D5—22no—
1324C2×D5—22no—
1325C2×D5—22no—
1326C2×D5—22no—
1327C2×D5—22no—
1328C2×D5—22no—
1329C2×D5—22no—
1330C2×D5—22no—
1331C2×D5—22no—
1332C2×D5—22no—
1333C2×D5—416no—
1334C2×D5—416no—
1335C2×D5—416no—
1336C2×D5—41no—
1337C2×D5—41no—
1338C2×D5—41no—
1339C2×D5—41no—
1340C2×D5—41no—
1341C2×D5—41no—
1342C2×D5—41no—
1343C2×D5—41no—
1344C2×D5—41no—
1345C2×D5—41no—
1346C2×D5—41no—
1347C2×D5—41no—
1348C2×D5—41no—
1349C2×D5—41no—
1350C2×D5—41no—
1351C2×D5—41no—
1352C2×D5—41no—
1353C2×D5—41no—
1354C2×D5—41no—
1355C2×D5—41no—
1356C2×D5—41no—
1357C2×D5—41no—
1358C2×D5—41no—
1359C2×D5#52514yescomplemented
1360C4×C5—22no—
1361C4×C5—22no—
1362C4×C5—22no—
1363C4×C5—22no—
1364C4×C5—22no—
1365C4×C5—22no—
1366C4×C5—22no—
1367C4×C5—41no—
1368C4×C5—41no—
1369C4×C5—41no—
1370C4×C5—41no—
1371C4×C5—41no—
1372C4×C5—41no—
1373Dic5—22no—
1374Dic5—22no—
1375Dic5—22no—
1376Dic5—41no—
1377Dic5—41no—
1378Dic5—41no—
1379Dic5—41no—
1380Dic5—41no—
1381Dic5—41no—
1382Dic5D4214yes—
1383C24—51no—
1384C24—51no—
1385C24—51no—
1386C24—51no—
1387C24—51no—
1388C24—54no—
1389C24—51no—
1390C24—102no—
1391C24—102no—
1392C24—102no—
1393C24—102no—
1394C24—102no—
1395C24—102no—
1396C24—102no—
1397C24—102no—
1398C24—102no—
1399C24—102no—
1400C24—102no—
1401C24—102no—
1402C24—102no—
1403C24—102no—
1404C24—201no—
1405C24—201no—
1406C24—201no—
1407C24—201no—
1408C24—201no—
1409C24—201no—
1410C24C23×D511yescharacteristic
1411C24C23×D511yescharacteristic
1412#41—2016no—
1413C2×Q8—22no—
1414C2×Q8—22no—
1415C2×Q8—41no—
1416C2×D4—22no—
1417C2×D4—22no—
1418C2×D4—54no—
1419C2×D4—54no—
1420C2×D4—54no—
1421C2×D4—102no—
1422C2×D4—102no—
1423C2×D4—102no—
1424C2×D4—102no—
1425C2×D4—102no—
1426C2×D4—102no—
1427C2×D4—102no—
1428C2×D4—102no—
1429C2×D4—102no—
1430C2×D4—102no—
1431C2×D4—1032no—
1432C2×D4—102no—
1433C2×D4—102no—
1434C2×D4—102no—
1435C2×D4—102no—
1436C2×D4—102no—
1437C2×D4—102no—
1438C2×D4—102no—
1439C2×D4—102no—
1440C2×D4—102no—
1441C2×D4—102no—
1442C2×D4—102no—
1443C2×D4—102no—
1444C2×D4—102no—
1445C2×D4—1032no—
1446C2×D4—102no—
1447C2×D4—102no—
1448C2×D4—102no—
1449C2×D4—102no—
1450C2×D4—102no—
1451C2×D4—102no—
1452C2×D4—102no—
1453C2×D4—102no—
1454C2×D4—102no—
1455C2×D4—102no—
1456C2×D4—102no—
1457C2×D4—102no—
1458C2×D4—102no—
1459C2×D4—102no—
1460C2×D4—102no—
1461C2×D4—102no—
1462C2×D4—102no—
1463C2×D4—102no—
1464C2×D4—201no—
1465C2×D4—201no—
1466C2×D4—201no—
1467C2×D4—201no—
1468C2×D4—201no—
1469C2×D4—201no—
1470C2×D4—201no—
1471C2×D4—201no—
1472C2×D4—201no—
1473C2×D4—201no—
1474C2×D4#71314yescomplemented
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—41no—
1485C22×C4—41no—
1486C22×C4—41no—
1487C22×C4—51no—
1488C22×C4—54no—
1489C22×C4—51no—
1490C22×C4—51no—
1491C22×C4—51no—
1492C22×C4—54no—
1493C22×C4—54no—
1494C22×C4—54no—
1495C22×C4—51no—
1496C22×C4—51no—
1497C22×C4—51no—
1498C22×C4—51no—
1499C22×C4—51no—
1500C22×C4—51no—
1501C22×C4—102no—
1502C22×C4—102no—
1503C22×C4—102no—
1504C22×C4—102no—
1505C22×C4—102no—
1506C22×C4—102no—
1507C22×C4—102no—
1508C22×C4—102no—
1509C22×C4—102no—
1510C22×C4—102no—
1511C22×C4—102no—
1512C22×C4—102no—
1513C22×C4—102no—
1514C22×C4—102no—
1515C22×C4—102no—
1516C22×C4—102no—
1517C22×C4—102no—
1518C22×C4—102no—
1519C22×C4—102no—
1520C22×C4—102no—
1521C22×C4—102no—
1522C22×C4—102no—
1523C22×C4—102no—
1524C22×C4—102no—
1525C22×C4—102no—
1526C22×C4—102no—
1527C22×C4—102no—
1528C22×C4—102no—
1529C22×C4—102no—
1530C22×C4—102no—
1531C22×C4—102no—
1532C22×C4—102no—
1533C22×C4—102no—
1534C22×C4—102no—
1535C22×C4—102no—
1536C22×C4—102no—
1537C22×C4—102no—
1538C22×C4—102no—
1539C22×C4—102no—
1540C22×C4—201no—
1541C22×C4—201no—
1542C22×C4—201no—
1543C22×C4—201no—
1544C22×C4—201no—
1545C22×C4—201no—
1546C22×C4—201no—
1547C22×C4—2016no—
1548C22×C4—2016no—
1549C22×C4—2016no—
1550C22×C4—201no—
1551C22×C4C23×D511yescharacteristic
1552C22×C4C23×D511yescharacteristic
1553C22×C4C23×D511yescharacteristic
1554C22×C4C23×D511yescharacteristic
1555C22×C4C23×D511yescharacteristic
1556C22×C4C23×D511yescharacteristic
1557C22×C4C23×D511yescharacteristic
1558C22×C4C23×D511yescharacteristic
1559C22×C4C23×D511yescharacteristic
1560C22×C4C23×D511yescharacteristic
1561C22×C4C23×D511yescharacteristic
1562C22×C4C23×D511yescharacteristic
1563C22×C4C23×D511yescharacteristic
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—22no—
1571C4⋊C4—22no—
1572C4⋊C4—22no—
1573C4⋊C4—22no—
1574C4⋊C4—41no—
1575C4⋊C4—54no—
1576C4⋊C4—102no—
1577C4⋊C4—102no—
1578C4⋊C4—102no—
1579C4⋊C4—102no—
1580C4⋊C4—102no—
1581C4⋊C4—102no—
1582C4⋊C4—102no—
1583C4⋊C4—102no—
1584C4⋊C4—201no—
1585C4⋊C4—201no—
1586C4⋊C4—201no—
1587C4⋊C4D4×D514yescomplemented
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—22no—
1594C22⋊C4—41no—
1595C22⋊C4—54no—
1596C22⋊C4—54no—
1597C22⋊C4—54no—
1598C22⋊C4—102no—
1599C22⋊C4—102no—
1600C22⋊C4—102no—
1601C22⋊C4—102no—
1602C22⋊C4—102no—
1603C22⋊C4—102no—
1604C22⋊C4—102no—
1605C22⋊C4—102no—
1606C22⋊C4—102no—
1607C22⋊C4—102no—
1608C22⋊C4—102no—
1609C22⋊C4—102no—
1610C22⋊C4—102no—
1611C22⋊C4—102no—
1612C22⋊C4—102no—
1613C22⋊C4—102no—
1614C22⋊C4—102no—
1615C22⋊C4—102no—
1616C22⋊C4—102no—
1617C22⋊C4—102no—
1618C22⋊C4—102no—
1619C22⋊C4—102no—
1620C22⋊C4—102no—
1621C22⋊C4—102no—
1622C22⋊C4—102no—
1623C22⋊C4—102no—
1624C22⋊C4—102no—
1625C22⋊C4—102no—
1626C22⋊C4—102no—
1627C22⋊C4—102no—
1628C22⋊C4—102no—
1629C22⋊C4—102no—
1630C22⋊C4—102no—
1631C22⋊C4—102no—
1632C22⋊C4—102no—
1633C22⋊C4—201no—
1634C22⋊C4—201no—
1635C22⋊C4—201no—
1636C22⋊C4—201no—
1637C22⋊C4—201no—
1638C22⋊C4—201no—
1639C22⋊C4D4×D514yes—
1640C42—22no—
1641C42—54no—
1642C42—54no—
1643C42—102no—
1644C42—102no—
1645C42—102no—
1646C42—102no—
1647C42—102no—
1648C42—102no—
1649C42—102no—
1650C42—102no—
1651C2×C5—24no—
1652C2×C5—42no—
1653C2×C5C2×#52511yescharacteristic
1654C2×C5C2×#52511yescharacteristic
1655C2×C5#345911yescharacteristic
1656C2×C5C2×D4211yescharacteristic
1657C2×C5D4×#4111yescharacteristic
1658C2×C5D4×#4111yescharacteristic
1659C2×C5#348111yescharacteristic
1660D5—24no—
1661D5—42no—
1662D5—42no—
1663D5—42no—
1664D5—42no—
1665D5—81no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—52no—
1677C23—52no—
1678C23—52no—
1679C23—52no—
1680C23—52no—
1681C23—52no—
1682C23—52no—
1683C23—108no—
1684C23—108no—
1685C23—108no—
1686C23—101no—
1687C23—101no—
1688C23—101no—
1689C23—101no—
1690C23—108no—
1691C23—101no—
1692C23—101no—
1693C23—101no—
1694C23—101no—
1695C23—101no—
1696C23—101no—
1697C23—101no—
1698C23—101no—
1699C23—101no—
1700C23—101no—
1701C23—101no—
1702C23—101no—
1703C23—101no—
1704C23—101no—
1705C23—101no—
1706C23—101no—
1707C23—101no—
1708C23—101no—
1709C23—101no—
1710C23—101no—
1711C23—101no—
1712C23—101no—
1713C23—101no—
1714C23—101no—
1715C23—101no—
1716C23—101no—
1717C23—101no—
1718C23—101no—
1719C23—101no—
1720C23—101no—
1721C23—101no—
1722C23—204no—
1723C23—204no—
1724C23—204no—
1725C23—204no—
1726C23—204no—
1727C23—204no—
1728C23—204no—
1729C23—204no—
1730C23—204no—
1731C23—204no—
1732C23—204no—
1733C23—204no—
1734C23—204no—
1735C23—204no—
1736C23—204no—
1737C23—204no—
1738C23—204no—
1739C23C2×D4×D512yes—
1740C23C2×#71312yes—
1741C23C2×#71312yes—
1742C23D5×#4112yes—
1743C23C24×D511yescharacteristic
1744Q8—44no—
1745D4—28no—
1746D4—108no—
1747D4—108no—
1748D4—108no—
1749D4—108no—
1750D4—108no—
1751D4—108no—
1752D4—108no—
1753D4—204no—
1754D4—204no—
1755D4—204no—
1756D4—204no—
1757D4—204no—
1758D4—204no—
1759D4—204no—
1760D4—204no—
1761D4—204no—
1762D4—204no—
1763D4—204no—
1764C2×C4—28no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—44no—
1798C2×C4—44no—
1799C2×C4—44no—
1800C2×C4—52no—
1801C2×C4—52no—
1802C2×C4—52no—
1803C2×C4—52no—
1804C2×C4—52no—
1805C2×C4—52no—
1806C2×C4—108no—
1807C2×C4—108no—
1808C2×C4—108no—
1809C2×C4—108no—
1810C2×C4—108no—
1811C2×C4—101no—
1812C2×C4—101no—
1813C2×C4—101no—
1814C2×C4—101no—
1815C2×C4—101no—
1816C2×C4—101no—
1817C2×C4—101no—
1818C2×C4—101no—
1819C2×C4—101no—
1820C2×C4—101no—
1821C2×C4—101no—
1822C2×C4—101no—
1823C2×C4—101no—
1824C2×C4—101no—
1825C2×C4—101no—
1826C2×C4—101no—
1827C2×C4—101no—
1828C2×C4—101no—
1829C2×C4—101no—
1830C2×C4—101no—
1831C2×C4—101no—
1832C2×C4—101no—
1833C2×C4—101no—
1834C2×C4—101no—
1835C2×C4—204no—
1836C2×C4—204no—
1837C2×C4—204no—
1838C2×C4—204no—
1839C2×C4—204no—
1840C2×C4—204no—
1841C2×C4—204no—
1842C2×C4—204no—
1843C2×C4—204no—
1844C2×C4—204no—
1845C2×C4—204no—
1846C2×C4—204no—
1847C2×C4C2×D4×D512yes—
1848C2×C4C2×D4×D512yes—
1849C2×C4C2×D4×D512yes—
1850C2×C4C2×D4×D512yes—
1851C2×C4C2×D4×D512yes—
1852C2×C4C2×#71312yes—
1853C2×C4D5×#4112yes—
1854C5#3465511yescharacteristic, complemented, Sylow
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—22no—
1859C22—22no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—54no—
1869C22—102no—
1870C22—102no—
1871C22—102no—
1872C22—102no—
1873C22—102no—
1874C22—102no—
1875C22—102no—
1876C22—102no—
1877C22—102no—
1878C22—102no—
1879C22—102no—
1880C22—102no—
1881C22—102no—
1882C22—102no—
1883C22—102no—
1884C22—102no—
1885C22—102no—
1886C22—102no—
1887C22—2016no—
1888C22—2016no—
1889C22—2016no—
1890C22—201no—
1891C22—201no—
1892C22—201no—
1893C22—201no—
1894C22—201no—
1895C22—201no—
1896C22—201no—
1897C22—201no—
1898C22—201no—
1899C22—201no—
1900C22—201no—
1901C22—201no—
1902C22—201no—
1903C22—201no—
1904C22—201no—
1905C22—201no—
1906C22—201no—
1907C22—201no—
1908C22—201no—
1909C22—201no—
1910C22—201no—
1911C22—201no—
1912C22—201no—
1913C22#6596114yescomplemented
1914C22C22×D4×D511yescharacteristic
1915C22C22×D4×D511yescharacteristic
1916C22C22×#71311yescharacteristic
1917C22C2×D5×#4111yescharacteristic
1918C22C2×D5×#4111yescharacteristic
1919C22D5×H(5,𝔽2)11yescharacteristic
1920C22#6628711yescharacteristic
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—41no—
1933C4—41no—
1934C4—54no—
1935C4—102no—
1936C4—102no—
1937C4—102no—
1938C4—201no—
1939C4—201no—
1940C4—201no—
1941C4—201no—
1942C4—201no—
1943C4—201no—
1944C2—24no—
1945C2—42no—
1946C2—104no—
1947C2—202no—
1948C2—202no—
1949C2—202no—
1950C2—202no—
1951C2—401no—
1952C2C2×#6596111yescharacteristic
1953C2D5×#52511yescharacteristic
1954C2#1061832911yescharacteristic
1955C2D42×D511yescharacteristic
1956C2#1061857511yescharacteristic
1957C2D4×#71311yescharacteristic
1958C2#1061882511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2449C2
hypercenter#2449D5
hypocenterC5#34655
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#65961C2semidirect
2. C2×#65961C2semidirect
3. C2×C4×D4×D5C2semidirect
4. C22×#4039C2semidirect
5. C5×#2449C2semidirect
6. #10614549C2semidirect
7. #10614547C2semidirect
8. #10614138C2semidirect
9. #10613926C2semidirect
10. #10609832C2semidirect
11. #10609750C2semidirect
12. #10609682C2semidirect
13. #10609468C2semidirect
14. #10609147C2semidirect
15. #10609012C2semidirect
16. #10608983C2semidirect
17. #10608900C2semidirect
18. #10607957C2semidirect
19. #10607695C2semidirect
20. #10607054C2semidirect
21. #10606668C2semidirect
22. #10606619C2semidirect
23. #10606615C2semidirect
24. #10606391C2semidirect
25. #10606390C2semidirect
26. #10606334C2semidirect
27. #10606332C2semidirect
28. #10606158C2semidirect
29. #10606110C2semidirect
30. #10606110C2semidirect
31. #10606108C2semidirect
32. C22×#713C22semidirect
36. C23×C4×D5C22semidirect
37. C23×C4×D5C22semidirect
38. C2×C5×C22⋊Q8C22semidirect
39. C2×C5×C22⋊Q8C22semidirect
41. C22×C5×C4⋊C4C22semidirect
42. C2×#4092C22semidirect
43. C2×#4092C22semidirect
48. C2×#4076C22semidirect
50. C2×C4×C22⋊D5C22semidirect
52. C22×#685C22semidirect
53. C22×C4×Dic5C22semidirect
59. C2×#4041C22semidirect
60. C2×#4040C22semidirect
61. C2×#4040C22semidirect
62. C2×#4040C22semidirect
63. C2×#4040C22semidirect
69. C2×#4039C22semidirect
70. C2×#4039C22semidirect
71. C2×#4039C22semidirect
72. C2×#4039C22semidirect
73. C2×#4039C22semidirect
74. C2×#4039C22semidirect
75. C2×#4039C22semidirect
76. C2×#4039C22semidirect
77. C2×#4039C22semidirect
78. C2×#4038C22semidirect
79. C2×#4038C22semidirect
80. C2×D5×C4⋊C4C22semidirect
85. C2×#4028C22semidirect
86. C2×#4028C22semidirect
88. C2×#4027C22semidirect
89. C2×#4027C22semidirect
90. C2×#4027C22semidirect
91. C2×#4027C22semidirect
92. C2×#4027C22semidirect
94. C2×D5×C22⋊C4C22semidirect
95. C2×C4×D20C22semidirect
96. C2×C42×D5C22semidirect
97. C5×#399C22semidirect
98. C5×#398C22semidirect
99. C5×#396C22semidirect
100. C5×#395C22semidirect
101. C5×#389C22semidirect
102. C5×#387C22semidirect
105. C5×#385C22semidirect
106. C5×#385C22semidirect
107. C5×#385C22semidirect
108. #65520C22semidirect
110. #65502C22semidirect
111. #65502C22semidirect
112. #65502C22semidirect
113. #65499C22semidirect
114. #65283C22semidirect
115. #65283C22semidirect
116. #65283C22semidirect
117. #65282C22semidirect
118. #65281C22semidirect
119. #65281C22semidirect
120. #65281C22semidirect
121. #65280C22semidirect
122. #65280C22semidirect
123. #65280C22semidirect
124. #65280C22semidirect
125. #65280C22semidirect
126. #65279C22semidirect
127. #65279C22semidirect
128. #65279C22semidirect
129. #65278C22semidirect
130. #65278C22semidirect
131. #65278C22semidirect
132. #65278C22semidirect
133. #65278C22semidirect
134. #65276C22semidirect
135. #65273C22semidirect
136. #65270C22semidirect
137. #65267C22semidirect
138. C4⋊C4×Dic5C22semidirect
139. #65250C22semidirect
140. #65250C22semidirect
143. #65249C22semidirect
144. #65249C22semidirect
146. #65246C22semidirect
147. #65245C22semidirect
148. #65245C22semidirect
150. #65244C22semidirect
151. #65244C22semidirect
152. #65239C22semidirect
153. #65233C22semidirect
154. #65231C22semidirect
155. C22⋊C4×Dic5C22semidirect
156. C22⋊C4×Dic5C22semidirect
157. #65229C22semidirect
158. #65228C22semidirect
159. #64964C22semidirect
160. #64961C22semidirect
161. #64961C22semidirect
164. #64960C22semidirect
165. #64960C22semidirect
166. #64960C22semidirect
167. #64959C22semidirect
168. #64959C22semidirect
169. #64958C22semidirect
170. #64957C22semidirect
171. #64957C22semidirect
172. #64957C22semidirect
173. #64955C22semidirect
174. #64955C22semidirect
175. #64955C22semidirect
176. #64955C22semidirect
177. #64955C22semidirect
178. #64955C22semidirect
183. #64954C22semidirect
184. #64954C22semidirect
185. #64954C22semidirect
186. #64954C22semidirect
187. #64944C22semidirect
188. #64938C22semidirect
189. #64937C22semidirect
190. #64936C22semidirect
376. #4039D4semidirect
391. #4027D4semidirect
429. #2449D5semidirect
473. C23×D5#41semidirect
485. C2×C5×D4#41semidirect
586. C2×D20#41semidirect
630. C2×C4×D5C2×D4semidirect
631. C2×C4×D5C2×D4semidirect
643. C5×C4⋊C4C2×D4semidirect
695. #685C2×D4semidirect
696. #685C2×D4semidirect
708. #683C2×D4semidirect
717. C4×Dic5C2×D4semidirect
718. C4×Dic5C2×D4semidirect
733. C2×C22⋊Q8C2×D5semidirect
734. C2×C22⋊Q8C2×D5semidirect
777. C22×C4⋊C4C2×D5semidirect
787. #399C2×D5semidirect
789. #398C2×D5semidirect
795. #396C2×D5semidirect
796. #395C2×D5semidirect
819. #389C2×D5semidirect
831. #387C2×D5semidirect
859. #385C2×D5semidirect
860. #385C2×D5semidirect
861. #385C2×D5semidirect
1307. C22×C5#525semidirect
1359. C2×D5#525semidirect
1474. C2×D4#713semidirect
1587. C4⋊C4D4×D5semidirect
1854. C5#34655semidirect
1913. C22#65961semidirect

Maximal subgroups

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

subgroupindex
C2×#659612
C2×C4×D4×D52
C22×#40392
C5×#24492
#106145492
#106145472
#106141382
#106139262
#106098322
#106097502
#106096822
#106094682
#106091472
#106090122
#106089832
#106089002
#106079572
#106076952
#106070542
#106066682
#106066192
#106066152
#106063912
#106063902
#106063342
#106063322
#106061582
#106061102
#106061082
#346555