Finite Group Databasebeta

← #12271966

Subgroups — #12271966

Order 1280.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65927C211yesmaximal, characteristic, complemented
2C2×C4×D4×D5C211yesmaximal, characteristic, complemented
3C5×#2424C211yesmaximal, characteristic, complemented
4#10614454C211yesmaximal, characteristic, complemented
5#10614433C211yesmaximal, characteristic, complemented
6#10614388C211yesmaximal, characteristic, complemented
7#10614365C211yesmaximal, characteristic, complemented
8#10614336C211yesmaximal, characteristic, complemented
9#10614335C211yesmaximal, characteristic, complemented
10#10614309C211yesmaximal, characteristic, complemented
11#10614092C211yesmaximal, characteristic, complemented
12#10613859C211yesmaximal, characteristic, complemented
13C2×#65245C211yesmaximal, characteristic, complemented
14#10609064C211yesmaximal, characteristic, complemented
15#10609035C211yesmaximal, characteristic, complemented
16#10608848C211yesmaximal, characteristic, complemented
17#10608712C211yesmaximal, characteristic, complemented
18#10608711C211yesmaximal, characteristic, complemented
19#10608656C211yesmaximal, characteristic, complemented
20#10608487C211yesmaximal, characteristic, complemented
21#10608432C211yesmaximal, characteristic, complemented
22#10608205C211yesmaximal, characteristic, complemented
23#10608177C211yesmaximal, characteristic, complemented
24#10607689C211yesmaximal, characteristic, complemented
25#10607240C211yesmaximal, characteristic, complemented
26#10606667C211yesmaximal, characteristic, complemented
27#10606453C211yesmaximal, characteristic, complemented
28#10606436C211yesmaximal, characteristic, complemented
29#10606390C211yesmaximal, characteristic, complemented
30#10606144C211yesmaximal, characteristic, complemented
31#10606114C211yesmaximal, characteristic, complemented
32C23×C22⋊D5C2211yescharacteristic
33C22×D4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic, complemented
36C2×C5×#121C2211yescharacteristic
37C2×C5×#121C2211yescharacteristic, complemented
38C2×C5×#120C2211yescharacteristic
39C2×C5×#120C2211yescharacteristic, complemented
40C2×C4×C5×D4C2211yescharacteristic
41C22×C5×C22⋊C4C2211yescharacteristic, complemented
42C2×#4099C2211yescharacteristic
43C22×C22⋊Dic5C2211yescharacteristic, complemented
44C2×#4085C2211yescharacteristic
45C2×#4085C2211yescharacteristic, complemented
46C2×#4084C2211yescharacteristic
47C2×#4084C2211yescharacteristic
48C2×#4084C2211yescharacteristic, complemented
49C2×#4083C2211yescharacteristic
50C2×#4083C2211yescharacteristic
51C2×#4083C2211yescharacteristic
52C2×#4083C2211yescharacteristic, complemented
53C2×#4082C2211yescharacteristic, complemented
54C2×#4081C2211yescharacteristic, complemented
55C2×D4×Dic5C2211yescharacteristic
56C2×D4×Dic5C2211yescharacteristic, complemented
57C2×C4×C22⋊D5C2211yescharacteristic
58C2×C4×C22⋊D5C2211yescharacteristic, complemented
59C22×#685C2211yescharacteristic
60#65927—28no—
61C4×D4×D5—28no—
62C2×#4043C2211yescharacteristic, complemented
63C2×#4039C2211yescharacteristic, complemented
64C2×D5×C4⋊C4C2211yescharacteristic, complemented
65C2×#4031C2211yescharacteristic, complemented
66C2×#4029C2211yescharacteristic, complemented
67C2×#4029C2211yescharacteristic, complemented
68C2×#4027C2211yescharacteristic
69C2×#4027C2211yescharacteristic, complemented
70C2×#4027C2211yescharacteristic, complemented
71C2×#4027C2211yescharacteristic, complemented
72C2×D5×C22⋊C4C2211yescharacteristic
73C2×D5×C22⋊C4C2211yescharacteristic, complemented
74C2×#4025C2211yescharacteristic, complemented
75C2×#4025C2211yescharacteristic, complemented
76C2×#4024C2211yescharacteristic, complemented
77C2×C4×D20C2211yescharacteristic, complemented
78C2×C42×D5C2211yescharacteristic, complemented
79C5×#396C2211yescharacteristic, complemented
80C5×#394C2211yescharacteristic, complemented
81C5×#394C2211yescharacteristic, complemented
82C5×#392C2211yescharacteristic, complemented
83C5×#390C2211yescharacteristic, complemented
84C5×#388C2211yescharacteristic, complemented
85C5×#386C2211yescharacteristic, complemented
86C5×#386C2211yescharacteristic, complemented
87C5×#385C2211yescharacteristic, complemented
88#65536C2211yescharacteristic, complemented
89#65512C2211yescharacteristic
90#65512C2211yescharacteristic
91#65512C2211yescharacteristic, complemented
92#65512C2211yescharacteristic, complemented
93#65512C2211yescharacteristic, complemented
94#65510C2211yescharacteristic, complemented
95#65510C2211yescharacteristic, complemented
96#65509C2211yescharacteristic
97#65509C2211yescharacteristic
98#65509C2211yescharacteristic, complemented
99#65509C2211yescharacteristic, complemented
100#65509C2211yescharacteristic, complemented
101#65509C2211yescharacteristic, complemented
102#65509C2211yescharacteristic, complemented
103#65502C2211yescharacteristic
104#65501C2211yescharacteristic, complemented
105#65501C2211yescharacteristic, complemented
106#65499C2211yescharacteristic, complemented
107#65499C2211yescharacteristic, complemented
108C2×#3963C2211yescharacteristic, complemented
109C2×#3963C2211yescharacteristic, complemented
110#65283C2211yescharacteristic, complemented
111#65283C2211yescharacteristic, complemented
112#65280C2211yescharacteristic, complemented
113#65279C2211yescharacteristic, complemented
114#65278C2211yescharacteristic, complemented
115#65276C2211yescharacteristic, complemented
116#65276C2211yescharacteristic, complemented
117#65275C2211yescharacteristic, complemented
118#65273C2211yescharacteristic, complemented
119#65270C2211yescharacteristic, complemented
120#65270C2211yescharacteristic, complemented
121#65267C2211yescharacteristic, complemented
122#65266C2211yescharacteristic, complemented
123#65250C2211yescharacteristic, complemented
124#65250C2211yescharacteristic, complemented
125#65250C2211yescharacteristic, complemented
126#65250C2211yescharacteristic, complemented
127#65249C2211yescharacteristic
128#65249C2211yescharacteristic
129#65249C2211yescharacteristic, complemented
130#65248C2211yescharacteristic, complemented
131#65248C2211yescharacteristic, complemented
132#65247C2211yescharacteristic
133#65245C2211yescharacteristic
134#65245C2211yescharacteristic
135#65245C2211yescharacteristic
136#65245C2211yescharacteristic
137#65245C2211yescharacteristic
138#65245C2211yescharacteristic
139#65245C2211yescharacteristic
140#65245C2211yescharacteristic
141#65245C2211yescharacteristic, complemented
142#65245C2211yescharacteristic, complemented
143#65245C2211yescharacteristic, complemented
144#65245C2211yescharacteristic, complemented
145#65245C2211yescharacteristic, complemented
146#65245C2211yescharacteristic, complemented
147#65245C2211yescharacteristic, complemented
148#65245C2211yescharacteristic, complemented
149#65245C2211yescharacteristic, complemented
150#65244C2211yescharacteristic
151#65244C2211yescharacteristic, complemented
152#65241C2211yescharacteristic, complemented
153#65241C2211yescharacteristic, complemented
154#65240C2211yescharacteristic, complemented
155#65240C2211yescharacteristic, complemented
156#65240C2211yescharacteristic, complemented
157#65240C2211yescharacteristic, complemented
158#65240C2211yescharacteristic, complemented
159#65240C2211yescharacteristic, complemented
160#65240C2211yescharacteristic, complemented
161#65240C2211yescharacteristic, complemented
162#65239C2211yescharacteristic, complemented
163#65239C2211yescharacteristic, complemented
164#65239C2211yescharacteristic, complemented
165#65239C2211yescharacteristic, complemented
166#65238C2211yescharacteristic, complemented
167#65237C2211yescharacteristic, complemented
168#65236C2211yescharacteristic, complemented
169#65234C2211yescharacteristic, complemented
170C22⋊C4×Dic5C2211yescharacteristic, complemented
171#65222C2211yescharacteristic, complemented
172#65218C2211yescharacteristic, complemented
173#64966C2211yescharacteristic, complemented
174#64963C2211yescharacteristic, complemented
175#64962C2211yescharacteristic, complemented
176#64959C2211yescharacteristic, complemented
177#64957C2211yescharacteristic, complemented
178#64957C2211yescharacteristic, complemented
179#64957C2211yescharacteristic, complemented
180#64957C2211yescharacteristic, complemented
181#64955C2211yescharacteristic, complemented
182#64955C2211yescharacteristic, complemented
183#64953C2211yescharacteristic, complemented
184#64953C2211yescharacteristic, complemented
185#64947C2211yescharacteristic, complemented
186#64944C2211yescharacteristic, complemented
187#64943C2211yescharacteristic, complemented
188#64940C2211yescharacteristic, complemented
189#34990—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C24×D5C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C22×C5×D4C2311yescharacteristic
199C22×C5×D4C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C22×C22⋊D5—24no—
204C22×C22⋊D5—42no—
205C22×C22⋊D5—42no—
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C22×C22⋊D5C2311yescharacteristic
212C22×C22⋊D5C2311yescharacteristic
213C22×C22⋊D5C2311yescharacteristic
214C22×C22⋊D5C2311yescharacteristic
215C22×C22⋊D5C2311yescharacteristic
216C22×C22⋊D5C2311yescharacteristic
217C23×Dic5C2311yescharacteristic
218C23×Dic5C2311yescharacteristic
219C23×Dic5C2311yescharacteristic
220C23×Dic5C2311yescharacteristic
221C23×Dic5C2311yescharacteristic
222C2×D4×D5—24no—
223C2×D4×D5—24no—
224C2×D4×D5—24no—
225C22×D20C2311yescharacteristic
226C22×C4×D5—24no—
227C22×C4×D5—24no—
228C22×C4×D5—42no—
229C22×C4×D5—42no—
230C22×C4×D5—42no—
231C22×C4×D5—42no—
232C22×C4×D5C2311yescharacteristic
233C22×C4×D5C2311yescharacteristic
234C22×C4×D5C2311yescharacteristic
235C22×C4×D5C2311yescharacteristic
236C22×C4×D5C2311yescharacteristic
237C22×C4×D5C2311yescharacteristic
238C22×C4×D5C2311yescharacteristic
239C22×C4×D5C2311yescharacteristic
240C22×C4×D5C2311yescharacteristic
241C22×Dic10C2311yescharacteristic
242C5×#121—24no—
243C5×#121—42no—
244C5×#120—24no—
245C5×#120—24no—
246C4×C5×D4—24no—
247C2×C5×C4⋊C4C2311yescharacteristic
248C2×C5×C4⋊C4C2311yescharacteristic
249C2×C5×C4⋊C4C2311yescharacteristic
250C2×C5×C4⋊C4C2311yescharacteristic
251C2×C5×C22⋊C4—42no—
252C2×C5×C22⋊C4C2311yescharacteristic
253C2×C5×C22⋊C4C2311yescharacteristic
254C2×C5×C22⋊C4C2311yescharacteristic
255C2×C5×C22⋊C4C2311yescharacteristic
256C2×C5×C22⋊C4C2311yescharacteristic
257C2×C5×C22⋊C4C2311yescharacteristic
258C2×C5×C22⋊C4C2311yescharacteristic
259C2×C5×C22⋊C4C2311yescharacteristic
260C2×C5×C22⋊C4C2311yescharacteristic
261C2×C5×C22⋊C4C2311yescharacteristic
262C2×C5×C22⋊C4C2311yescharacteristic
263C2×C5×C22⋊C4C2311yescharacteristic
264C2×C5×C22⋊C4C2311yescharacteristic
265C2×C5×C22⋊C4C2311yescharacteristic
266C2×C5×C22⋊C4C2311yescharacteristic
267C2×C42×C5C2311yescharacteristic
268#4099—24no—
269C2×C22⋊Dic5—24no—
270C2×C22⋊Dic5C2311yescharacteristic
271C2×C22⋊Dic5C2311yescharacteristic
272C2×C22⋊Dic5C2311yescharacteristic
273C2×C22⋊Dic5C2311yescharacteristic
274C2×C22⋊Dic5C2311yescharacteristic
275C2×C22⋊Dic5C2311yescharacteristic
276C2×C22⋊Dic5C2311yescharacteristic
277C2×C22⋊Dic5C2311yescharacteristic
278C2×C22⋊Dic5C2311yescharacteristic
279C2×C22⋊Dic5C2311yescharacteristic
280C2×C22⋊Dic5C2311yescharacteristic
281C2×C22⋊Dic5C2311yescharacteristic
282C2×C22⋊Dic5C2311yescharacteristic
283C2×C22⋊Dic5C2311yescharacteristic
284C2×C22⋊Dic5C2311yescharacteristic
285C2×C22⋊Dic5C2311yescharacteristic
286C2×C22⋊Dic5C2311yescharacteristic
287C2×C22⋊Dic5C2311yescharacteristic
288C2×C22⋊Dic5C2311yescharacteristic
289C2×C22⋊Dic5C2311yescharacteristic
290C2×C22⋊Dic5C2311yescharacteristic
291C2×C22⋊Dic5C2311yescharacteristic
292#4085—24no—
293#4085—24no—
294#4084—24no—
295#4084—42no—
296#4084—42no—
297#4083—24no—
298#4083—42no—
299#4083—42no—
300#4083—42no—
301#4082—24no—
302#4081—24no—
303D4×Dic5—24no—
304D4×Dic5—24no—
305C4×C22⋊D5—24no—
306C4×C22⋊D5—24no—
307C2×#685—42no—
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×C4⋊Dic5C2311yescharacteristic
328C2×C4⋊Dic5C2311yescharacteristic
329C2×C4⋊Dic5C2311yescharacteristic
330C2×C4⋊Dic5C2311yescharacteristic
331C2×C4⋊Dic5C2311yescharacteristic
332C2×C4⋊Dic5C2311yescharacteristic
333C2×C4⋊Dic5C2311yescharacteristic
334C2×C4⋊Dic5C2311yescharacteristic
335C2×C4⋊Dic5C2311yescharacteristic
336C2×#683C2311yescharacteristic
337C2×#683C2311yescharacteristic
338C2×#683C2311yescharacteristic
339C2×#683C2311yescharacteristic
340C2×#683C2311yescharacteristic
341C2×#683C2311yescharacteristic
342C2×#683C2311yescharacteristic
343C2×C4×Dic5C2311yescharacteristic
344C2×C4×Dic5C2311yescharacteristic
345C2×C4×Dic5C2311yescharacteristic
346C2×C4×Dic5C2311yescharacteristic
347C2×C4×Dic5C2311yescharacteristic
348C2×C4×Dic5C2311yescharacteristic
349#4043—42no—
350#4039—24no—
351D5×C4⋊C4—24no—
352#4031—24no—
353#4029—24no—
354#4029—42no—
355#4027—24no—
356#4027—42no—
357#4027—42no—
358#4027D418yescomplemented
359D5×C22⋊C4—24no—
360D5×C22⋊C4—24no—
361#4025—24no—
362#4025—24no—
363#4024—24no—
364C4×D20—24no—
365C42×D5—24no—
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
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
392#3963C2311yescharacteristic
393#3963C2311yescharacteristic
394#3963C2311yescharacteristic
395#3963C2311yescharacteristic
396#3963C2311yescharacteristic
397#3963C2311yescharacteristic
398C2×#538—51no—
399C22×C4×D4—51no—
400#2852—51no—
401#2850—51no—
402#2849—51no—
403#2847—51no—
404#2636—51no—
405#2635—51no—
406#2631—51no—
407#2630—51no—
408#2481—51no—
409#2472—51no—
410#2467—51no—
411#2459—51no—
412#2456—51no—
413#2456—51no—
414#2450—51no—
415#2444—51no—
416#2443—51no—
417#2437—51no—
418#2424—51no—
419#2424D511yescharacteristic, complemented
420#2418—51no—
421#2410—51no—
422#2410—51no—
423#2403—51no—
424#2325—51no—
425#2321—51no—
426#2318—51no—
427C4×#120—51no—
428C2×#386—51no—
429C24×C5—22no—
430C24×C5—22no—
431C24×C5—22no—
432C24×C5—41no—
433C24×C5—41no—
434C24×C5—41no—
435C24×C5—41no—
436C24×C5C2411yescharacteristic
437C24×C5C2411yescharacteristic
438C24×C5C2411yescharacteristic
439C24×C5C2411yescharacteristic
440C24×C5C2411yescharacteristic
441C23×D5—22no—
442C23×D5—22no—
443C23×D5—22no—
444C23×D5—22no—
445C23×D5—22no—
446C23×D5—22no—
447C23×D5—22no—
448C23×D5—22no—
449C23×D5—22no—
450C23×D5—41no—
451C23×D5—41no—
452C23×D5—41no—
453C23×D5—41no—
454C23×D5#4114yes—
455C23×D5C2411yescharacteristic
456C23×D5C2411yescharacteristic
457C23×D5C2411yescharacteristic
458C2×C5×D4—22no—
459C2×C5×D4—22no—
460C2×C5×D4—22no—
461C2×C5×D4—22no—
462C2×C5×D4—22no—
463C2×C5×D4—22no—
464C2×C5×D4—22no—
465C2×C5×D4—22no—
466C2×C5×D4—22no—
467C2×C5×D4—22no—
468C2×C5×D4—41no—
469C2×C5×D4—41no—
470C2×C5×D4—41no—
471C2×C5×D4—41no—
472C2×C5×D4—41no—
473C2×C5×D4—41no—
474C2×C5×D4—41no—
475C2×C5×D4—41no—
476C2×C5×D4—41no—
477C2×C5×D4—41no—
478C2×C5×D4#4114yes—
479C22×C4×C5—22no—
480C22×C4×C5—22no—
481C22×C4×C5—22no—
482C22×C4×C5—22no—
483C22×C4×C5—22no—
484C22×C4×C5—41no—
485C22×C4×C5—41no—
486C22×C4×C5—41no—
487C22×C4×C5—41no—
488C22×C4×C5C2411yescharacteristic
489C22×C4×C5C2411yescharacteristic
490C22×C4×C5C2411yescharacteristic
491C22×C4×C5C2411yescharacteristic
492C22×C4×C5C2411yescharacteristic
493C22×C4×C5C2411yescharacteristic
494C22×C4×C5C2411yescharacteristic
495C22×C4×C5C2411yescharacteristic
496C22×C4×C5C2411yescharacteristic
497C22×C4×C5C2411yescharacteristic
498C2×C22⋊D5—22no—
499C2×C22⋊D5—22no—
500C2×C22⋊D5—22no—
501C2×C22⋊D5—22no—
502C2×C22⋊D5—22no—
503C2×C22⋊D5—22no—
504C2×C22⋊D5—22no—
505C2×C22⋊D5—22no—
506C2×C22⋊D5—22no—
507C2×C22⋊D5—22no—
508C2×C22⋊D5—22no—
509C2×C22⋊D5—22no—
510C2×C22⋊D5—22no—
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—41no—
519C2×C22⋊D5—41no—
520C2×C22⋊D5—41no—
521C2×C22⋊D5—41no—
522C2×C22⋊D5—41no—
523C2×C22⋊D5—41no—
524C2×C22⋊D5—41no—
525C2×C22⋊D5—41no—
526C2×C22⋊D5—41no—
527C2×C22⋊D5—41no—
528C2×C22⋊D5—41no—
529C2×C22⋊D5—41no—
530C2×C22⋊D5—416no—
531C2×C22⋊D5C2×D414yes—
532C22×Dic5—22no—
533C22×Dic5—22no—
534C22×Dic5—22no—
535C22×Dic5—22no—
536C22×Dic5—41no—
537C22×Dic5—41no—
538C22×Dic5—41no—
539C22×Dic5—41no—
540C22×Dic5—41no—
541C22×Dic5—41no—
542C22×Dic5—41no—
543C22×Dic5—41no—
544C22×Dic5—41no—
545C22×Dic5—41no—
546C22×Dic5C2×D414yes—
547C22×Dic5C2411yescharacteristic
548C22×Dic5C2411yescharacteristic
549C22×Dic5C2411yescharacteristic
550C22×Dic5C2411yescharacteristic
551C22×Dic5C2411yescharacteristic
552C22×Dic5C2411yescharacteristic
553C22×Dic5C2411yescharacteristic
554C22×Dic5C2411yescharacteristic
555C22×Dic5C2411yescharacteristic
556C22×Dic5C2411yescharacteristic
557C22×Dic5C2411yescharacteristic
558C22×Dic5C2411yescharacteristic
559C22×Dic5C2411yescharacteristic
560D4×D5—232no—
561C2×D20—22no—
562C2×D20—22no—
563C2×D20—22no—
564C2×C4×D5—22no—
565C2×C4×D5—22no—
566C2×C4×D5—22no—
567C2×C4×D5—22no—
568C2×C4×D5—22no—
569C2×C4×D5—22no—
570C2×C4×D5—22no—
571C2×C4×D5—22no—
572C2×C4×D5—22no—
573C2×C4×D5—22no—
574C2×C4×D5—22no—
575C2×C4×D5—22no—
576C2×C4×D5—22no—
577C2×C4×D5—22no—
578C2×C4×D5—22no—
579C2×C4×D5—22no—
580C2×C4×D5—22no—
581C2×C4×D5—416no—
582C2×C4×D5—416no—
583C2×C4×D5—41no—
584C2×C4×D5—41no—
585C2×C4×D5—41no—
586C2×C4×D5—41no—
587C2×C4×D5—41no—
588C2×C4×D5—41no—
589C2×C4×D5—41no—
590C2×C4×D5—41no—
591C2×C4×D5—41no—
592C2×C4×D5C2×D414yescomplemented
593C2×Dic10—22no—
594C2×Dic10—41no—
595C2×Dic10—41no—
596C5×C4⋊C4—22no—
597C5×C4⋊C4—22no—
598C5×C4⋊C4—41no—
599C5×C4⋊C4—41no—
600C5×C22⋊C4—22no—
601C5×C22⋊C4—22no—
602C5×C22⋊C4—22no—
603C5×C22⋊C4—22no—
604C5×C22⋊C4—22no—
605C5×C22⋊C4—22no—
606C5×C22⋊C4—22no—
607C5×C22⋊C4—22no—
608C5×C22⋊C4—22no—
609C5×C22⋊C4—22no—
610C5×C22⋊C4—22no—
611C5×C22⋊C4—41no—
612C5×C22⋊C4—41no—
613C5×C22⋊C4—41no—
614C5×C22⋊C4C2×D414yes—
615C42×C5—22no—
616C22⋊Dic5—22no—
617C22⋊Dic5—22no—
618C22⋊Dic5—22no—
619C22⋊Dic5—22no—
620C22⋊Dic5—22no—
621C22⋊Dic5—22no—
622C22⋊Dic5—22no—
623C22⋊Dic5—22no—
624C22⋊Dic5—22no—
625C22⋊Dic5—22no—
626C22⋊Dic5—22no—
627C22⋊Dic5—22no—
628C22⋊Dic5—41no—
629C22⋊Dic5—41no—
630C22⋊Dic5—41no—
631C22⋊Dic5—41no—
632C22⋊Dic5—41no—
633C22⋊Dic5—41no—
634C22⋊Dic5—41no—
635C22⋊Dic5—41no—
636C22⋊Dic5—41no—
637C22⋊Dic5—41no—
638#685—22no—
639#685—22no—
640#685—22no—
641#685—22no—
642#685—22no—
643#685—22no—
644#685—22no—
645#685—22no—
646#685—22no—
647#685—22no—
648#685—41no—
649#685—41no—
650#685—41no—
651#685—41no—
652#685—41no—
653#685—41no—
654#685—41no—
655#685—41no—
656#685C2×D414yescomplemented
657C4⋊Dic5—22no—
658C4⋊Dic5—22no—
659C4⋊Dic5—22no—
660C4⋊Dic5—41no—
661C4⋊Dic5—41no—
662C4⋊Dic5—41no—
663C4⋊Dic5—41no—
664C4⋊Dic5—41no—
665C4⋊Dic5—41no—
666#683—22no—
667#683—22no—
668#683—22no—
669#683—22no—
670#683—22no—
671#683—41no—
672#683C2×D414yescomplemented
673C4×Dic5—22no—
674C4×Dic5—22no—
675C4×Dic5—22no—
676C4×Dic5—41no—
677C4×Dic5—41no—
678C4×Dic5C2×D414yescomplemented
679C23×D4—51no—
680C23×D4—51no—
681C24×C4—51no—
682C24×C4—51no—
683#538—108no—
684C2×#126—51no—
685C2×#126—51no—
686C2×#124—51no—
687C2×#124—51no—
688C2×#123—51no—
689C2×#123—51no—
690C2×#123—51no—
691C2×C22⋊Q8—51no—
692C2×C22⋊Q8—51no—
693C2×#121—51no—
694C2×#121—51no—
695C2×#121—51no—
696C2×#121—51no—
697C2×#121—51no—
698C2×#121C2×D511yescharacteristic
699C2×#121C2×D511yescharacteristic, complemented
700C2×#120—51no—
701C2×#120—51no—
702C2×#120—51no—
703C2×#120—51no—
704C2×#120—51no—
705C2×#120C2×D511yescharacteristic
706C2×#120C2×D511yescharacteristic, complemented
707C2×C4×D4—51no—
708C2×C4×D4—51no—
709C2×C4×D4—51no—
710C2×C4×D4—51no—
711C2×C4×D4—51no—
712C2×C4×D4—51no—
713C2×C4×D4—51no—
714C2×C4×D4—51no—
715C2×C4×D4—51no—
716C2×C4×D4—51no—
717C2×C4×D4—108no—
718C2×C4×D4C2×D511yescharacteristic
719C22×C4⋊C4—51no—
720C22×C22⋊C4—51no—
721C22×C22⋊C4—51no—
722C22×C22⋊C4—51no—
723C22×C22⋊C4—51no—
724C22×C22⋊C4C2×D511yescharacteristic, complemented
725C22×C42—51no—
726#400—51no—
727#400—51no—
728#399—51no—
729#399—51no—
730#398—51no—
731#397—51no—
732#397—51no—
733#397—51no—
734#396—51no—
735#396—51no—
736#396—51no—
737#396C2×D511yescharacteristic, complemented
738#394—51no—
739#394—51no—
740#394—51no—
741#394—51no—
742#394—51no—
743#394—51no—
744#394—51no—
745#394C2×D511yescharacteristic, complemented
746#394C2×D511yescharacteristic, complemented
747#393—51no—
748#393—51no—
749#392—51no—
750#392—51no—
751#392—51no—
752#392—51no—
753#392—51no—
754#392—51no—
755#392—51no—
756#392—51no—
757#392C2×D511yescharacteristic, complemented
758#391—51no—
759#390—51no—
760#390—51no—
761#390C2×D511yescharacteristic, complemented
762#388—51no—
763#388—51no—
764#388—51no—
765#388—51no—
766#388—51no—
767#388—51no—
768#388—51no—
769#388—51no—
770#388—51no—
771#388—51no—
772#388—51no—
773#388C2×D511yescharacteristic, complemented
774#387—51no—
775#387—51no—
776#387—51no—
777#387—51no—
778#387—51no—
779#387—51no—
780#386—51no—
781#386—51no—
782#386—51no—
783#386—51no—
784#386—51no—
785#386—51no—
786#386—51no—
787#386—51no—
788#386—51no—
789#386—51no—
790#386—51no—
791#386—51no—
792#386—51no—
793#386—51no—
794#386—51no—
795#386—51no—
796#386—51no—
797#386—51no—
798#386—51no—
799#386—51no—
800#386—51no—
801#386—51no—
802#386—51no—
803#386—51no—
804#386—51no—
805#386—51no—
806#386C2×D511yescharacteristic, complemented
807#386C2×D511yescharacteristic, complemented
808#385—51no—
809#385—51no—
810#385—51no—
811#385—51no—
812#385—51no—
813#385—51no—
814#385—51no—
815#385—51no—
816#385—51no—
817#385—51no—
818#385—51no—
819#385C2×D511yescharacteristic, complemented
820#383—51no—
821#382—51no—
822#381—51no—
823#381—51no—
824#380—51no—
825#380—51no—
826#380—51no—
827#380—51no—
828#379—51no—
829#379—51no—
830#379—51no—
831C4×C22⋊C4—51no—
832C4×C22⋊C4—51no—
833C4×C22⋊C4—51no—
834C2×#95—51no—
835C2×#95—51no—
836C23×C5—21no—
837C23×C5—21no—
838C23×C5—21no—
839C23×C5—21no—
840C23×C5—21no—
841C23×C5—21no—
842C23×C5—21no—
843C23×C5—21no—
844C23×C5—21no—
845C23×C5—21no—
846C23×C5—21no—
847C23×C5—21no—
848C23×C5—21no—
849C23×C5—21no—
850C23×C5—21no—
851C23×C5—21no—
852C23×C5—21no—
853C23×C5—21no—
854C23×C5—21no—
855C23×C5—21no—
856C23×C5—21no—
857C23×C5—21no—
858C23×C5—21no—
859C23×C5—21no—
860C23×C5—21no—
861C23×C5—21no—
862C23×C5—21no—
863C23×C5—21no—
864C23×C5—21no—
865C23×C5—21no—
866C23×C5—21no—
867C23×C5—44no—
868C23×C5—44no—
869C23×C5—44no—
870C23×C5—82no—
871C23×C5—82no—
872C23×C5—82no—
873C23×C5—82no—
874C23×C5C22×D412yes—
875C23×C5C2×#4112yes—
876C23×C5C2×#4112yes—
877C23×C5C2×#4112yes—
878C23×C5C2511yescharacteristic
879C22×D5—21no—
880C22×D5—21no—
881C22×D5—21no—
882C22×D5—21no—
883C22×D5—28no—
884C22×D5—28no—
885C22×D5—21no—
886C22×D5—21no—
887C22×D5—21no—
888C22×D5—21no—
889C22×D5—21no—
890C22×D5—21no—
891C22×D5—21no—
892C22×D5—21no—
893C22×D5—21no—
894C22×D5—21no—
895C22×D5—21no—
896C22×D5—21no—
897C22×D5—28no—
898C22×D5—44no—
899C22×D5—44no—
900C22×D5—44no—
901C22×D5—44no—
902C22×D5—44no—
903C22×D5—44no—
904C22×D5—44no—
905C22×D5—44no—
906C22×D5—44no—
907C22×D5—44no—
908C22×D5—44no—
909C22×D5C22×D412yes—
910C22×D5C2×#4112yes—
911C22×D5C2×#4112yes—
912C22×D5H(5,𝔽2)12yes—
913C22×D5H(5,𝔽2)12yes—
914C5×D4—28no—
915C5×D4—44no—
916C5×D4—82no—
917C5×D4—82no—
918C5×D4—82no—
919C5×D4—82no—
920C5×D4—82no—
921C2×C4×C5—21no—
922C2×C4×C5—21no—
923C2×C4×C5—21no—
924C2×C4×C5—21no—
925C2×C4×C5—21no—
926C2×C4×C5—21no—
927C2×C4×C5—21no—
928C2×C4×C5—21no—
929C2×C4×C5—21no—
930C2×C4×C5—21no—
931C2×C4×C5—21no—
932C2×C4×C5—21no—
933C2×C4×C5—21no—
934C2×C4×C5—21no—
935C2×C4×C5—21no—
936C2×C4×C5—21no—
937C2×C4×C5—21no—
938C2×C4×C5—21no—
939C2×C4×C5—21no—
940C2×C4×C5—21no—
941C2×C4×C5—21no—
942C2×C4×C5—21no—
943C2×C4×C5—21no—
944C2×C4×C5—21no—
945C2×C4×C5—21no—
946C2×C4×C5—21no—
947C2×C4×C5—44no—
948C2×C4×C5—44no—
949C2×C4×C5—82no—
950C2×C4×C5C22×D412yes—
951C2×C4×C5C22×D412yes—
952C2×C4×C5C2×#4112yes—
953C2×C4×C5H(5,𝔽2)12yes—
954C22⋊D5—28no—
955C22⋊D5—28no—
956C22⋊D5—44no—
957C22⋊D5—44no—
958C22⋊D5—44no—
959C22⋊D5—44no—
960C22⋊D5—44no—
961C22⋊D5—44no—
962C22⋊D5—82no—
963C22⋊D5—82no—
964C22⋊D5—82no—
965C2×Dic5—21no—
966C2×Dic5—21no—
967C2×Dic5—21no—
968C2×Dic5—21no—
969C2×Dic5—21no—
970C2×Dic5—21no—
971C2×Dic5—21no—
972C2×Dic5—21no—
973C2×Dic5—21no—
974C2×Dic5—21no—
975C2×Dic5—21no—
976C2×Dic5—21no—
977C2×Dic5—21no—
978C2×Dic5—21no—
979C2×Dic5—21no—
980C2×Dic5—21no—
981C2×Dic5—21no—
982C2×Dic5—21no—
983C2×Dic5—21no—
984C2×Dic5—21no—
985C2×Dic5—21no—
986C2×Dic5—21no—
987C2×Dic5—21no—
988C2×Dic5—21no—
989C2×Dic5—21no—
990C2×Dic5—21no—
991C2×Dic5—21no—
992C2×Dic5—21no—
993C2×Dic5—21no—
994C2×Dic5—21no—
995C2×Dic5—21no—
996C2×Dic5—21no—
997C2×Dic5—21no—
998C2×Dic5—21no—
999C2×Dic5—21no—
1000C2×Dic5—21no—
1001C2×Dic5—44no—
1002C2×Dic5—44no—
1003C2×Dic5—44no—
1004C2×Dic5—82no—
1005C2×Dic5—82no—
1006C2×Dic5C22×D412yes—
1007C2×Dic5C22×D412yes—
1008C2×Dic5C22×D412yes—
1009D20—28no—
1010C4×D5—28no—
1011C4×D5—28no—
1012C4×D5—44no—
1013C4×D5—44no—
1014C4×D5—44no—
1015C4×D5—44no—
1016C4×D5—44no—
1017C4×D5—44no—
1018C4×D5—44no—
1019Dic10—82no—
1020C25—51no—
1021C25—51no—
1022C25C22×D511yescharacteristic
1023C22×Q8—51no—
1024C22×D4—51no—
1025C22×D4—51no—
1026C22×D4—51no—
1027C22×D4—51no—
1028C22×D4—51no—
1029C22×D4—51no—
1030C22×D4—51no—
1031C22×D4—51no—
1032C22×D4—51no—
1033C22×D4—51no—
1034C22×D4—51no—
1035C22×D4—51no—
1036C22×D4—104no—
1037C22×D4—104no—
1038C22×D4—104no—
1039C22×D4—104no—
1040C22×D4—202no—
1041C22×D4—202no—
1042C22×D4C22×D511yescharacteristic
1043C22×D4C22×D511yescharacteristic
1044C22×D4C22×D511yescharacteristic
1045C22×D4C22×D511yescharacteristic
1046C22×D4C22×D511yescharacteristic
1047C22×D4C22×D511yescharacteristic
1048C22×D4C22×D511yescharacteristic
1049C23×C4—51no—
1050C23×C4—51no—
1051C23×C4—51no—
1052C23×C4—51no—
1053C23×C4—51no—
1054C23×C4—51no—
1055C23×C4—51no—
1056C23×C4—51no—
1057C23×C4—51no—
1058C23×C4—51no—
1059C23×C4—51no—
1060C23×C4—51no—
1061C23×C4—51no—
1062C23×C4—51no—
1063C23×C4—104no—
1064C23×C4—104no—
1065C23×C4—202no—
1066C23×C4—202no—
1067C23×C4—202no—
1068C23×C4—202no—
1069C23×C4C22×D511yescharacteristic
1070C23×C4C22×D511yescharacteristic
1071C23×C4C22×D511yescharacteristic
1072#126—104no—
1073#126—104no—
1074#124—104no—
1075#124—104no—
1076#123—104no—
1077#123—104no—
1078#123—202no—
1079C22⋊Q8—104no—
1080C22⋊Q8—202no—
1081#121—24no—
1082#121—42no—
1083#121—104no—
1084#121—104no—
1085#121—104no—
1086#121—202no—
1087#121—202no—
1088#120—24no—
1089#120—24no—
1090#120—104no—
1091#120—104no—
1092#120—202no—
1093#120—202no—
1094#120—202no—
1095C4×D4—24no—
1096C4×D4—58no—
1097C4×D4—104no—
1098C4×D4—104no—
1099C4×D4—104no—
1100C4×D4—104no—
1101C4×D4—104no—
1102C4×D4—104no—
1103C4×D4—104no—
1104C4×D4—202no—
1105C4×D4—202no—
1106C2×C4⋊C4—51no—
1107C2×C4⋊C4—51no—
1108C2×C4⋊C4—51no—
1109C2×C4⋊C4—51no—
1110C2×C4⋊C4—51no—
1111C2×C4⋊C4—51no—
1112C2×C4⋊C4—51no—
1113C2×C4⋊C4—51no—
1114C2×C4⋊C4—51no—
1115C2×C4⋊C4—51no—
1116C2×C4⋊C4—51no—
1117C2×C4⋊C4—51no—
1118C2×C4⋊C4—51no—
1119C2×C4⋊C4—51no—
1120C2×C4⋊C4—51no—
1121C2×C4⋊C4—51no—
1122C2×C4⋊C4—104no—
1123C2×C4⋊C4C22×D511yescharacteristic
1124C2×C4⋊C4C22×D511yescharacteristic
1125C2×C4⋊C4C22×D511yescharacteristic
1126C2×C4⋊C4C22×D511yescharacteristic
1127C2×C22⋊C4—42no—
1128C2×C22⋊C4—51no—
1129C2×C22⋊C4—51no—
1130C2×C22⋊C4—51no—
1131C2×C22⋊C4—51no—
1132C2×C22⋊C4—51no—
1133C2×C22⋊C4—51no—
1134C2×C22⋊C4—51no—
1135C2×C22⋊C4—51no—
1136C2×C22⋊C4—51no—
1137C2×C22⋊C4—51no—
1138C2×C22⋊C4—51no—
1139C2×C22⋊C4—51no—
1140C2×C22⋊C4—51no—
1141C2×C22⋊C4—51no—
1142C2×C22⋊C4—51no—
1143C2×C22⋊C4—51no—
1144C2×C22⋊C4—51no—
1145C2×C22⋊C4—51no—
1146C2×C22⋊C4—51no—
1147C2×C22⋊C4—51no—
1148C2×C22⋊C4—51no—
1149C2×C22⋊C4—51no—
1150C2×C22⋊C4—51no—
1151C2×C22⋊C4—51no—
1152C2×C22⋊C4—51no—
1153C2×C22⋊C4—51no—
1154C2×C22⋊C4—51no—
1155C2×C22⋊C4—51no—
1156C2×C22⋊C4—51no—
1157C2×C22⋊C4—51no—
1158C2×C22⋊C4—51no—
1159C2×C22⋊C4—51no—
1160C2×C22⋊C4—51no—
1161C2×C22⋊C4—51no—
1162C2×C22⋊C4—51no—
1163C2×C22⋊C4—51no—
1164C2×C22⋊C4—51no—
1165C2×C22⋊C4—51no—
1166C2×C22⋊C4—51no—
1167C2×C22⋊C4—51no—
1168C2×C22⋊C4—51no—
1169C2×C22⋊C4—104no—
1170C2×C22⋊C4—104no—
1171C2×C22⋊C4—104no—
1172C2×C22⋊C4—202no—
1173C2×C22⋊C4C22×D511yescharacteristic
1174C2×C22⋊C4C22×D511yescharacteristic
1175C2×C22⋊C4C22×D511yescharacteristic
1176C2×C22⋊C4C22×D511yescharacteristic
1177C2×C22⋊C4C22×D511yescharacteristic
1178C2×C22⋊C4C22×D511yescharacteristic
1179C2×C22⋊C4C22×D511yescharacteristic
1180C2×C22⋊C4C22×D511yescharacteristic
1181C2×C22⋊C4C22×D511yescharacteristic
1182C2×C22⋊C4C22×D511yescharacteristic
1183C2×C22⋊C4C22×D511yescharacteristic
1184C2×C22⋊C4C22×D511yescharacteristic
1185C2×C22⋊C4C22×D511yescharacteristic
1186C2×C22⋊C4C22×D511yescharacteristic
1187C2×C22⋊C4C22×D511yescharacteristic
1188C2×C42—51no—
1189C2×C42—51no—
1190C2×C42—51no—
1191C2×C42—51no—
1192C2×C42—51no—
1193C2×C42—51no—
1194C2×C42—104no—
1195C2×C42C22×D511yescharacteristic
1196#95—51no—
1197#95—51no—
1198#95—51no—
1199#95—51no—
1200#95—51no—
1201#95—51no—
1202#95—51no—
1203#95—51no—
1204#95—51no—
1205#95—51no—
1206#95—51no—
1207#95—51no—
1208#95—51no—
1209#95—51no—
1210#95—51no—
1211#95—51no—
1212#95—51no—
1213#95—51no—
1214#95—51no—
1215#95—51no—
1216#95—51no—
1217#95—51no—
1218#95—51no—
1219#95—51no—
1220#95—51no—
1221#95—51no—
1222#95—51no—
1223#95—51no—
1224#95C22×D511yescharacteristic
1225#95C22×D511yescharacteristic
1226#95C22×D511yescharacteristic
1227#95C22×D511yescharacteristic
1228C22×C5—22no—
1229C22×C5—22no—
1230C22×C5—22no—
1231C22×C5—22no—
1232C22×C5—22no—
1233C22×C5—22no—
1234C22×C5—22no—
1235C22×C5—22no—
1236C22×C5—22no—
1237C22×C5—41no—
1238C22×C5—41no—
1239C22×C5—41no—
1240C22×C5—41no—
1241C22×C5—41no—
1242C22×C5—41no—
1243C22×C5—41no—
1244C22×C5—41no—
1245C22×C5—41no—
1246C22×C5—41no—
1247C22×C5—41no—
1248C22×C5—41no—
1249C22×C5—41no—
1250C22×C5—41no—
1251C22×C5—41no—
1252C22×C5—41no—
1253C22×C5—41no—
1254C22×C5—41no—
1255C22×C5—41no—
1256C22×C5—41no—
1257C22×C5—41no—
1258C22×C5—41no—
1259C22×C5—41no—
1260C22×C5—41no—
1261C22×C5—41no—
1262C22×C5—88no—
1263C22×C5#52514yes—
1264C22×C5C23×D411yescharacteristic
1265C22×C5C22×#4111yescharacteristic
1266C22×C5C22×#4111yescharacteristic
1267C22×C5C2×H(5,𝔽2)11yescharacteristic
1268C22×C5C2×H(5,𝔽2)11yescharacteristic
1269C22×C5C2×H(5,𝔽2)11yescharacteristic
1270C22×C5#58511yescharacteristic
1271C2×D5—22no—
1272C2×D5—22no—
1273C2×D5—22no—
1274C2×D5—22no—
1275C2×D5—22no—
1276C2×D5—22no—
1277C2×D5—22no—
1278C2×D5—22no—
1279C2×D5—22no—
1280C2×D5—22no—
1281C2×D5—22no—
1282C2×D5—22no—
1283C2×D5—416no—
1284C2×D5—416no—
1285C2×D5—41no—
1286C2×D5—41no—
1287C2×D5—41no—
1288C2×D5—41no—
1289C2×D5—41no—
1290C2×D5—41no—
1291C2×D5—41no—
1292C2×D5—41no—
1293C2×D5#53814yescomplemented
1294C4×C5—22no—
1295C4×C5—22no—
1296C4×C5—22no—
1297C4×C5—22no—
1298C4×C5—41no—
1299C4×C5—41no—
1300C4×C5—41no—
1301C4×C5—41no—
1302C4×C5—41no—
1303C4×C5—41no—
1304Dic5—22no—
1305Dic5—22no—
1306Dic5—22no—
1307Dic5—41no—
1308Dic5—41no—
1309Dic5—41no—
1310Dic5—41no—
1311Dic5—41no—
1312Dic5—41no—
1313Dic5—41no—
1314Dic5—41no—
1315Dic5—41no—
1316Dic5—41no—
1317C24—22no—
1318C24—22no—
1319C24—22no—
1320C24—41no—
1321C24—41no—
1322C24—41no—
1323C24—41no—
1324C24—51no—
1325C24—51no—
1326C24—51no—
1327C24—54no—
1328C24—102no—
1329C24—102no—
1330C24—102no—
1331C24—102no—
1332C24—102no—
1333C24—102no—
1334C24—102no—
1335C24—102no—
1336C24—102no—
1337C24—201no—
1338C24—201no—
1339C24—201no—
1340C24—201no—
1341C24C23×D511yescharacteristic
1342C24C23×D511yescharacteristic
1343C24C23×D511yescharacteristic
1344C24C23×D511yescharacteristic
1345C24C23×D511yescharacteristic
1346C2×Q8—102no—
1347C2×Q8—201no—
1348C2×Q8—201no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—54no—
1370C2×D4—102no—
1371C2×D4—102no—
1372C2×D4—102no—
1373C2×D4—1032no—
1374C2×D4—102no—
1375C2×D4—102no—
1376C2×D4—102no—
1377C2×D4—102no—
1378C2×D4—102no—
1379C2×D4—102no—
1380C2×D4—102no—
1381C2×D4—102no—
1382C2×D4—102no—
1383C2×D4—102no—
1384C2×D4—102no—
1385C2×D4—102no—
1386C2×D4—102no—
1387C2×D4—102no—
1388C2×D4—102no—
1389C2×D4—102no—
1390C2×D4—102no—
1391C2×D4—102no—
1392C2×D4—102no—
1393C2×D4—102no—
1394C2×D4—201no—
1395C2×D4—201no—
1396C2×D4—201no—
1397C2×D4—201no—
1398C2×D4—201no—
1399C2×D4—201no—
1400C2×D4—201no—
1401C2×D4—201no—
1402C2×D4—201no—
1403C2×D4—201no—
1404C2×D4—201no—
1405C2×D4—201no—
1406C2×D4—2016no—
1407C2×D4#71114yes—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—51no—
1418C22×C4—51no—
1419C22×C4—51no—
1420C22×C4—54no—
1421C22×C4—54no—
1422C22×C4—51no—
1423C22×C4—51no—
1424C22×C4—51no—
1425C22×C4—51no—
1426C22×C4—51no—
1427C22×C4—51no—
1428C22×C4—51no—
1429C22×C4—51no—
1430C22×C4—51no—
1431C22×C4—51no—
1432C22×C4—102no—
1433C22×C4—102no—
1434C22×C4—102no—
1435C22×C4—102no—
1436C22×C4—102no—
1437C22×C4—102no—
1438C22×C4—102no—
1439C22×C4—102no—
1440C22×C4—102no—
1441C22×C4—102no—
1442C22×C4—102no—
1443C22×C4—102no—
1444C22×C4—102no—
1445C22×C4—102no—
1446C22×C4—102no—
1447C22×C4—102no—
1448C22×C4—102no—
1449C22×C4—102no—
1450C22×C4—102no—
1451C22×C4—102no—
1452C22×C4—102no—
1453C22×C4—201no—
1454C22×C4—201no—
1455C22×C4—201no—
1456C22×C4—201no—
1457C22×C4—201no—
1458C22×C4—201no—
1459C22×C4—201no—
1460C22×C4—201no—
1461C22×C4—201no—
1462C22×C4—2016no—
1463C22×C4—2016no—
1464C22×C4—201no—
1465C22×C4—201no—
1466C22×C4—201no—
1467C22×C4—201no—
1468C22×C4—201no—
1469C22×C4—201no—
1470C22×C4—201no—
1471C22×C4—201no—
1472C22×C4—201no—
1473C22×C4—201no—
1474C22×C4C23×D511yescharacteristic
1475C22×C4C23×D511yescharacteristic
1476C22×C4C23×D511yescharacteristic
1477C22×C4C23×D511yescharacteristic
1478C22×C4C23×D511yescharacteristic
1479C22×C4C23×D511yescharacteristic
1480C22×C4C23×D511yescharacteristic
1481C22×C4C23×D511yescharacteristic
1482C22×C4C23×D511yescharacteristic
1483C22×C4C23×D511yescharacteristic
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—41no—
1487C4⋊C4—41no—
1488C4⋊C4—54no—
1489C4⋊C4—102no—
1490C4⋊C4—102no—
1491C4⋊C4—102no—
1492C4⋊C4—102no—
1493C4⋊C4—102no—
1494C4⋊C4—102no—
1495C4⋊C4—102no—
1496C4⋊C4—102no—
1497C4⋊C4—201no—
1498C4⋊C4—201no—
1499C4⋊C4—201no—
1500C4⋊C4—201no—
1501C4⋊C4—201no—
1502C4⋊C4—201no—
1503C4⋊C4—201no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—54no—
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—102no—
1541C22⋊C4—201no—
1542C22⋊C4—201no—
1543C22⋊C4—201no—
1544C22⋊C4—201no—
1545C22⋊C4—201no—
1546C22⋊C4—201no—
1547C22⋊C4—201no—
1548C22⋊C4—201no—
1549C22⋊C4—201no—
1550C22⋊C4—201no—
1551C22⋊C4—201no—
1552C22⋊C4—201no—
1553C22⋊C4—201no—
1554C22⋊C4—201no—
1555C22⋊C4—201no—
1556C22⋊C4—201no—
1557C22⋊C4—201no—
1558C22⋊C4—201no—
1559C22⋊C4D4×D514yes—
1560C42—22no—
1561C42—54no—
1562C42—102no—
1563C42—102no—
1564C42—102no—
1565C42—201no—
1566C42—201no—
1567C2×C5—24no—
1568C2×C5—42no—
1569C2×C5—81no—
1570C2×C5—81no—
1571C2×C5—81no—
1572C2×C5C2×#52511yescharacteristic
1573C2×C5C2×#53811yescharacteristic
1574C2×C5#345911yescharacteristic
1575C2×C5#348411yescharacteristic
1576C2×C5#348811yescharacteristic
1577C2×C5#351311yescharacteristic
1578C2×C5#351911yescharacteristic
1579D5—24no—
1580D5—42no—
1581D5—42no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—52no—
1617C23—52no—
1618C23—52no—
1619C23—52no—
1620C23—52no—
1621C23—82no—
1622C23—82no—
1623C23—82no—
1624C23—82no—
1625C23—108no—
1626C23—108no—
1627C23—101no—
1628C23—101no—
1629C23—101no—
1630C23—101no—
1631C23—108no—
1632C23—101no—
1633C23—101no—
1634C23—101no—
1635C23—101no—
1636C23—101no—
1637C23—101no—
1638C23—101no—
1639C23—101no—
1640C23—101no—
1641C23—101no—
1642C23—101no—
1643C23—101no—
1644C23—204no—
1645C23—204no—
1646C23—204no—
1647C23—204no—
1648C23—204no—
1649C23—204no—
1650C23—204no—
1651C23—204no—
1652C23—204no—
1653C23—204no—
1654C23—204no—
1655C23C2×D4×D512yes—
1656C23C2×#71112yes—
1657C23C2×#71112yes—
1658C23D5×#4112yes—
1659C23C24×D511yescharacteristic
1660Q8—402no—
1661D4—28no—
1662D4—44no—
1663D4—82no—
1664D4—82no—
1665D4—82no—
1666D4—82no—
1667D4—82no—
1668D4—108no—
1669D4—108no—
1670D4—108no—
1671D4—204no—
1672D4—204no—
1673D4—204no—
1674D4—204no—
1675D4—204no—
1676D4—204no—
1677D4—402no—
1678D4—402no—
1679D4—402no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—52no—
1709C2×C4—52no—
1710C2×C4—52no—
1711C2×C4—82no—
1712C2×C4—108no—
1713C2×C4—108no—
1714C2×C4—101no—
1715C2×C4—101no—
1716C2×C4—101no—
1717C2×C4—101no—
1718C2×C4—101no—
1719C2×C4—101no—
1720C2×C4—101no—
1721C2×C4—101no—
1722C2×C4—101no—
1723C2×C4—101no—
1724C2×C4—101no—
1725C2×C4—101no—
1726C2×C4—101no—
1727C2×C4—101no—
1728C2×C4—101no—
1729C2×C4—101no—
1730C2×C4—101no—
1731C2×C4—101no—
1732C2×C4—101no—
1733C2×C4—101no—
1734C2×C4—101no—
1735C2×C4—101no—
1736C2×C4—101no—
1737C2×C4—101no—
1738C2×C4—101no—
1739C2×C4—101no—
1740C2×C4—101no—
1741C2×C4—101no—
1742C2×C4—101no—
1743C2×C4—101no—
1744C2×C4—101no—
1745C2×C4—101no—
1746C2×C4—101no—
1747C2×C4—101no—
1748C2×C4—101no—
1749C2×C4—101no—
1750C2×C4—204no—
1751C2×C4—204no—
1752C2×C4—204no—
1753C2×C4—204no—
1754C2×C4—204no—
1755C2×C4—204no—
1756C2×C4—204no—
1757C2×C4—204no—
1758C2×C4—204no—
1759C2×C4—204no—
1760C2×C4—402no—
1761C2×C4—402no—
1762C2×C4C2×D4×D512yes—
1763C2×C4C2×D4×D512yes—
1764C2×C4C2×#71112yes—
1765C2×C4#414412yes—
1766C5#3499011yescharacteristic, complemented, Sylow
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—54no—
1802C22—88no—
1803C22—102no—
1804C22—102no—
1805C22—102no—
1806C22—102no—
1807C22—102no—
1808C22—102no—
1809C22—102no—
1810C22—102no—
1811C22—102no—
1812C22—102no—
1813C22—102no—
1814C22—102no—
1815C22—2016no—
1816C22—2016no—
1817C22—201no—
1818C22—201no—
1819C22—201no—
1820C22—201no—
1821C22—201no—
1822C22—201no—
1823C22—201no—
1824C22—201no—
1825C22#6594014yes—
1826C22C22×D4×D511yescharacteristic
1827C22C22×#71111yescharacteristic
1828C22C2×#414411yescharacteristic
1829C22C2×D5×#4111yescharacteristic
1830C22#6628311yescharacteristic
1831C22D5×H(5,𝔽2)11yescharacteristic
1832C22D5×H(5,𝔽2)11yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—102no—
1844C4—102no—
1845C4—102no—
1846C4—201no—
1847C4—201no—
1848C4—201no—
1849C4—201no—
1850C4—201no—
1851C4—201no—
1852C4—201no—
1853C4—201no—
1854C4—201no—
1855C4—201no—
1856C2—24no—
1857C2—42no—
1858C2—81no—
1859C2—81no—
1860C2—81no—
1861C2—104no—
1862C2—202no—
1863C2—202no—
1864C2C2×#6594011yescharacteristic
1865C2#1061793711yescharacteristic
1866C2D5×#53811yescharacteristic
1867C2#1061851311yescharacteristic
1868C2#1061852111yescharacteristic
1869C2#1061853011yescharacteristic
1870C2#1061853711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2424C2
hypercenter#2424D5
hypocenterC5#34990
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#65927C2semidirect
2. C2×C4×D4×D5C2semidirect
3. C5×#2424C2semidirect
4. #10614454C2semidirect
5. #10614433C2semidirect
6. #10614388C2semidirect
7. #10614365C2semidirect
8. #10614336C2semidirect
9. #10614335C2semidirect
10. #10614309C2semidirect
11. #10614092C2semidirect
12. #10613859C2semidirect
13. C2×#65245C2semidirect
14. #10609064C2semidirect
15. #10609035C2semidirect
16. #10608848C2semidirect
17. #10608712C2semidirect
18. #10608711C2semidirect
19. #10608656C2semidirect
20. #10608487C2semidirect
21. #10608432C2semidirect
22. #10608205C2semidirect
23. #10608177C2semidirect
24. #10607689C2semidirect
25. #10607240C2semidirect
26. #10606667C2semidirect
27. #10606453C2semidirect
28. #10606436C2semidirect
29. #10606390C2semidirect
30. #10606144C2semidirect
31. #10606114C2semidirect
35. C23×C4×D5C22semidirect
37. C2×C5×#121C22semidirect
39. C2×C5×#120C22semidirect
41. C22×C5×C22⋊C4C22semidirect
43. C22×C22⋊Dic5C22semidirect
45. C2×#4085C22semidirect
48. C2×#4084C22semidirect
52. C2×#4083C22semidirect
53. C2×#4082C22semidirect
54. C2×#4081C22semidirect
56. C2×D4×Dic5C22semidirect
58. C2×C4×C22⋊D5C22semidirect
62. C2×#4043C22semidirect
63. C2×#4039C22semidirect
64. C2×D5×C4⋊C4C22semidirect
65. C2×#4031C22semidirect
66. C2×#4029C22semidirect
67. C2×#4029C22semidirect
69. C2×#4027C22semidirect
70. C2×#4027C22semidirect
71. C2×#4027C22semidirect
73. C2×D5×C22⋊C4C22semidirect
74. C2×#4025C22semidirect
75. C2×#4025C22semidirect
76. C2×#4024C22semidirect
77. C2×C4×D20C22semidirect
78. C2×C42×D5C22semidirect
79. C5×#396C22semidirect
80. C5×#394C22semidirect
81. C5×#394C22semidirect
82. C5×#392C22semidirect
83. C5×#390C22semidirect
84. C5×#388C22semidirect
85. C5×#386C22semidirect
86. C5×#386C22semidirect
87. C5×#385C22semidirect
88. #65536C22semidirect
91. #65512C22semidirect
92. #65512C22semidirect
93. #65512C22semidirect
94. #65510C22semidirect
95. #65510C22semidirect
98. #65509C22semidirect
99. #65509C22semidirect
100. #65509C22semidirect
101. #65509C22semidirect
102. #65509C22semidirect
104. #65501C22semidirect
105. #65501C22semidirect
106. #65499C22semidirect
107. #65499C22semidirect
108. C2×#3963C22semidirect
109. C2×#3963C22semidirect
110. #65283C22semidirect
111. #65283C22semidirect
112. #65280C22semidirect
113. #65279C22semidirect
114. #65278C22semidirect
115. #65276C22semidirect
116. #65276C22semidirect
117. #65275C22semidirect
118. #65273C22semidirect
119. #65270C22semidirect
120. #65270C22semidirect
121. #65267C22semidirect
122. #65266C22semidirect
123. #65250C22semidirect
124. #65250C22semidirect
125. #65250C22semidirect
126. #65250C22semidirect
129. #65249C22semidirect
130. #65248C22semidirect
131. #65248C22semidirect
141. #65245C22semidirect
142. #65245C22semidirect
143. #65245C22semidirect
144. #65245C22semidirect
145. #65245C22semidirect
146. #65245C22semidirect
147. #65245C22semidirect
148. #65245C22semidirect
149. #65245C22semidirect
151. #65244C22semidirect
152. #65241C22semidirect
153. #65241C22semidirect
154. #65240C22semidirect
155. #65240C22semidirect
156. #65240C22semidirect
157. #65240C22semidirect
158. #65240C22semidirect
159. #65240C22semidirect
160. #65240C22semidirect
161. #65240C22semidirect
162. #65239C22semidirect
163. #65239C22semidirect
164. #65239C22semidirect
165. #65239C22semidirect
166. #65238C22semidirect
167. #65237C22semidirect
168. #65236C22semidirect
169. #65234C22semidirect
170. C22⋊C4×Dic5C22semidirect
171. #65222C22semidirect
172. #65218C22semidirect
173. #64966C22semidirect
174. #64963C22semidirect
175. #64962C22semidirect
176. #64959C22semidirect
177. #64957C22semidirect
178. #64957C22semidirect
179. #64957C22semidirect
180. #64957C22semidirect
181. #64955C22semidirect
182. #64955C22semidirect
183. #64953C22semidirect
184. #64953C22semidirect
185. #64947C22semidirect
186. #64944C22semidirect
187. #64943C22semidirect
188. #64940C22semidirect
358. #4027D4semidirect
419. #2424D5semidirect
592. C2×C4×D5C2×D4semidirect
656. #685C2×D4semidirect
672. #683C2×D4semidirect
678. C4×Dic5C2×D4semidirect
699. C2×#121C2×D5semidirect
706. C2×#120C2×D5semidirect
724. C22×C22⋊C4C2×D5semidirect
737. #396C2×D5semidirect
745. #394C2×D5semidirect
746. #394C2×D5semidirect
757. #392C2×D5semidirect
761. #390C2×D5semidirect
773. #388C2×D5semidirect
806. #386C2×D5semidirect
807. #386C2×D5semidirect
819. #385C2×D5semidirect
1293. C2×D5#538semidirect
1766. C5#34990semidirect

Maximal subgroups

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

subgroupindex
C2×#659272
C2×C4×D4×D52
C5×#24242
#106144542
#106144332
#106143882
#106143652
#106143362
#106143352
#106143092
#106140922
#106138592
C2×#652452
#106090642
#106090352
#106088482
#106087122
#106087112
#106086562
#106084872
#106084322
#106082052
#106081772
#106076892
#106072402
#106066672
#106064532
#106064362
#106063902
#106061442
#106061142
#349905