Finite Group Databasebeta

← #12271857

Subgroups — #12271857

Order 1280.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65923C211yesmaximal, characteristic
2C2×C4×D4×D5C211yesmaximal, characteristic, complemented
3C5×#2418C211yesmaximal, characteristic, complemented
4#10614643C211yesmaximal, characteristic, complemented
5#10614628C211yesmaximal, characteristic, complemented
6#10614316C211yesmaximal, characteristic, complemented
7#10614085C211yesmaximal, characteristic, complemented
8#10613859C211yesmaximal, characteristic, complemented
9C2×#65245C211yesmaximal, characteristic, complemented
10#10609840C211yesmaximal, characteristic, complemented
11#10609834C211yesmaximal, characteristic, complemented
12#10609417C211yesmaximal, characteristic, complemented
13#10609406C211yesmaximal, characteristic, complemented
14#10608856C211yesmaximal, characteristic, complemented
15#10608856C211yesmaximal, characteristic, complemented
16#10608849C211yesmaximal, characteristic, complemented
17#10608848C211yesmaximal, characteristic, complemented
18#10607690C211yesmaximal, characteristic, complemented
19#10607690C211yesmaximal, characteristic, complemented
20#10607580C211yesmaximal, characteristic, complemented
21#10607579C211yesmaximal, characteristic, complemented
22#10606667C211yesmaximal, characteristic, complemented
23#10606628C211yesmaximal, characteristic, complemented
24#10606605C211yesmaximal, characteristic, complemented
25#10606425C211yesmaximal, characteristic, complemented
26D5×#385C211yesmaximal, characteristic, complemented
27#10606139C211yesmaximal, characteristic, complemented
28#10605736C211yesmaximal, characteristic, complemented
29#10605621C211yesmaximal, characteristic, complemented
30#10605580C211yesmaximal, characteristic, complemented
31#10605557C211yesmaximal, characteristic, complemented
32C23×C22⋊D5C2211yescharacteristic
33C22×D4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic, complemented
36C2×C5×#123C2211yescharacteristic, complemented
37C2×C5×#120C2211yescharacteristic
38C2×C4×C5×D4C2211yescharacteristic
39C22×C5×C22⋊C4C2211yescharacteristic, complemented
40C2×#4099C2211yescharacteristic
41C22×C22⋊Dic5C2211yescharacteristic, complemented
42C2×#4084C2211yescharacteristic
43C2×#4084C2211yescharacteristic
44C2×#4083C2211yescharacteristic
45C2×#4083C2211yescharacteristic
46C2×#4081C2211yescharacteristic
47C2×#4081C2211yescharacteristic, complemented
48C2×D4×Dic5C2211yescharacteristic
49C2×C4×C22⋊D5C2211yescharacteristic
50C2×C4×C22⋊D5C2211yescharacteristic, complemented
51C22×#685C2211yescharacteristic
52#65923—28no—
53C4×D4×D5—28no—
54C2×#4039C2211yescharacteristic, complemented
55C2×D5×C4⋊C4C2211yescharacteristic, complemented
56C2×D5×C4⋊C4C2211yescharacteristic, complemented
57C2×D5×C4⋊C4C2211yescharacteristic, complemented
58C2×#4032C2211yescharacteristic
59C2×#4030C2211yescharacteristic
60C2×#4030C2211yescharacteristic
61C2×#4029C2211yescharacteristic
62C2×#4029C2211yescharacteristic
63C2×#4029C2211yescharacteristic, complemented
64C2×#4029C2211yescharacteristic, complemented
65C2×#4027C2211yescharacteristic
66C2×#4027C2211yescharacteristic, complemented
67C2×D5×C22⋊C4C2211yescharacteristic
68C2×D5×C22⋊C4C2211yescharacteristic
69C2×D5×C22⋊C4C2211yescharacteristic
70C2×D5×C22⋊C4C2211yescharacteristic, complemented
71C2×C4×D20C2211yescharacteristic, complemented
72C2×C42×D5C2211yescharacteristic, complemented
73C5×#399C2211yescharacteristic, complemented
74C5×#397C2211yescharacteristic, complemented
75C5×#394C2211yescharacteristic, complemented
76C5×#394C2211yescharacteristic, complemented
77C5×#388C2211yescharacteristic, complemented
78C5×#388C2211yescharacteristic, complemented
79C5×#386C2211yescharacteristic
80C5×#386C2211yescharacteristic, complemented
81C5×#385C2211yescharacteristic, complemented
82C5×#380C2211yescharacteristic, complemented
83C5×#379C2211yescharacteristic, complemented
84#65536C2211yescharacteristic, complemented
85#65511C2211yescharacteristic, complemented
86#65511C2211yescharacteristic, complemented
87#65509C2211yescharacteristic
88#65509C2211yescharacteristic, complemented
89#65502C2211yescharacteristic
90#65501C2211yescharacteristic, complemented
91#65500C2211yescharacteristic, complemented
92#65499C2211yescharacteristic, complemented
93#65499C2211yescharacteristic, complemented
94C2×#3963C2211yescharacteristic, complemented
95C2×#3963C2211yescharacteristic, complemented
96#65282C2211yescharacteristic, complemented
97#65282C2211yescharacteristic, complemented
98#65278C2211yescharacteristic, complemented
99#65278C2211yescharacteristic, complemented
100#65278C2211yescharacteristic, complemented
101#65278C2211yescharacteristic, complemented
102#65278C2211yescharacteristic, complemented
103#65278C2211yescharacteristic, complemented
104#65278C2211yescharacteristic, complemented
105#65278C2211yescharacteristic, complemented
106#65273C2211yescharacteristic, complemented
107#65273C2211yescharacteristic, complemented
108#65271C2211yescharacteristic, complemented
109#65270C2211yescharacteristic, complemented
110#65270C2211yescharacteristic, complemented
111#65269C2211yescharacteristic, complemented
112#65250C2211yescharacteristic, complemented
113#65250C2211yescharacteristic, complemented
114#65248C2211yescharacteristic, complemented
115#65248C2211yescharacteristic, complemented
116#65247C2211yescharacteristic
117#65245C2211yescharacteristic
118#65245C2211yescharacteristic
119#65245C2211yescharacteristic
120#65245C2211yescharacteristic
121#65245C2211yescharacteristic
122#65245C2211yescharacteristic
123#65245C2211yescharacteristic
124#65245C2211yescharacteristic
125#65245C2211yescharacteristic, complemented
126#65245C2211yescharacteristic, complemented
127#65245C2211yescharacteristic, complemented
128#65245C2211yescharacteristic, complemented
129#65245C2211yescharacteristic, complemented
130#65245C2211yescharacteristic, complemented
131#65245C2211yescharacteristic, complemented
132#65245C2211yescharacteristic, complemented
133#65245C2211yescharacteristic, complemented
134#65245C2211yescharacteristic, complemented
135#65245C2211yescharacteristic, complemented
136#65245C2211yescharacteristic, complemented
137#65244C2211yescharacteristic, complemented
138#65244C2211yescharacteristic, complemented
139#65242C2211yescharacteristic, complemented
140#65242C2211yescharacteristic, complemented
141#65242C2211yescharacteristic, complemented
142#65241C2211yescharacteristic, complemented
143#65241C2211yescharacteristic, complemented
144#65241C2211yescharacteristic, complemented
145#65241C2211yescharacteristic, complemented
146#65240C2211yescharacteristic, complemented
147#65240C2211yescharacteristic, complemented
148#65239C2211yescharacteristic, complemented
149#65239C2211yescharacteristic, complemented
150#65238C2211yescharacteristic, complemented
151#65238C2211yescharacteristic, complemented
152#65238C2211yescharacteristic, complemented
153#65235C2211yescharacteristic, complemented
154#65234C2211yescharacteristic, complemented
155#65234C2211yescharacteristic, complemented
156#65233C2211yescharacteristic, complemented
157#65233C2211yescharacteristic, complemented
158#65232C2211yescharacteristic, complemented
159#65232C2211yescharacteristic, complemented
160#65232C2211yescharacteristic, complemented
161#65231C2211yescharacteristic, complemented
162#65231C2211yescharacteristic, complemented
163#65222C2211yescharacteristic, complemented
164#65222C2211yescharacteristic, complemented
165#64964C2211yescharacteristic, complemented
166#64964C2211yescharacteristic, complemented
167#64957C2211yescharacteristic, complemented
168#64957C2211yescharacteristic, complemented
169#64957C2211yescharacteristic, complemented
170#64957C2211yescharacteristic, complemented
171#64957C2211yescharacteristic, complemented
172#64957C2211yescharacteristic, complemented
173#64954C2211yescharacteristic, complemented
174#64954C2211yescharacteristic, complemented
175#64953C2211yescharacteristic, complemented
176#64953C2211yescharacteristic, complemented
177#64953C2211yescharacteristic, complemented
178#64953C2211yescharacteristic, complemented
179D5×#95C2211yescharacteristic, complemented
180D5×#95C2211yescharacteristic, complemented
181#64950C2211yescharacteristic, complemented
182#64949C2211yescharacteristic, complemented
183#64949C2211yescharacteristic, complemented
184#64948C2211yescharacteristic, complemented
185#64944C2211yescharacteristic, complemented
186#64944C2211yescharacteristic, complemented
187#64942C2211yescharacteristic, complemented
188#64942C2211yescharacteristic, complemented
189#34983—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C24×D5C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C22×C22⋊D5—24no—
200C22×C22⋊D5—24no—
201C22×C22⋊D5—24no—
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C23×Dic5C2311yescharacteristic
211C23×Dic5C2311yescharacteristic
212C23×Dic5C2311yescharacteristic
213C23×Dic5C2311yescharacteristic
214C2×D4×D5—24no—
215C2×D4×D5—24no—
216C2×D4×D5D418yes—
217C22×D20C2311yescharacteristic
218C22×C4×D5—24no—
219C22×C4×D5—24no—
220C22×C4×D5—42no—
221C22×C4×D5—42no—
222C22×C4×D5—42no—
223C22×C4×D5—42no—
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×C4×D5C2311yescharacteristic
227C22×C4×D5C2311yescharacteristic
228C22×C4×D5C2311yescharacteristic
229C22×C4×D5C2311yescharacteristic
230C22×C4×D5C2311yescharacteristic
231C22×C4×D5C2311yescharacteristic
232C22×C4×D5C2311yescharacteristic
233C22×C4×D5C2311yescharacteristic
234C22×C4×D5C2311yescharacteristic
235C22×C4×D5C2311yescharacteristic
236C22×C4×D5C2311yescharacteristic
237C5×#123—42no—
238C5×#120—24no—
239C4×C5×D4—24no—
240C2×C5×C4⋊C4C2311yescharacteristic
241C2×C5×C4⋊C4C2311yescharacteristic
242C2×C5×C4⋊C4C2311yescharacteristic
243C2×C5×C4⋊C4C2311yescharacteristic
244C2×C5×C4⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4—42no—
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4C2311yescharacteristic
251C2×C5×C22⋊C4C2311yescharacteristic
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×C42×C5C2311yescharacteristic
263#4099—24no—
264C2×C22⋊Dic5—42no—
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268C2×C22⋊Dic5C2311yescharacteristic
269C2×C22⋊Dic5C2311yescharacteristic
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
283#4084—24no—
284#4084—24no—
285#4083—24no—
286#4083—24no—
287#4081—24no—
288#4081—42no—
289D4×Dic5—24no—
290C4×C22⋊D5—24no—
291C4×C22⋊D5—24no—
292C2×#685—24no—
293C2×#685C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
312C2×C4⋊Dic5C2311yescharacteristic
313C2×C4⋊Dic5C2311yescharacteristic
314C2×C4⋊Dic5C2311yescharacteristic
315C2×C4⋊Dic5C2311yescharacteristic
316C2×C4⋊Dic5C2311yescharacteristic
317C2×C4⋊Dic5C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×#683C2311yescharacteristic
321C2×#683C2311yescharacteristic
322C2×#683C2311yescharacteristic
323C2×#683C2311yescharacteristic
324C2×#683C2311yescharacteristic
325C2×#683C2311yescharacteristic
326C2×#683C2311yescharacteristic
327C2×#683C2311yescharacteristic
328C2×#683C2311yescharacteristic
329C2×#683C2311yescharacteristic
330C2×C4×Dic5C2311yescharacteristic
331C2×C4×Dic5C2311yescharacteristic
332C2×C4×Dic5C2311yescharacteristic
333#4039—24no—
334D5×C4⋊C4—24no—
335D5×C4⋊C4—42no—
336D5×C4⋊C4—42no—
337#4032—24no—
338#4030—24no—
339#4030—24no—
340#4029—24no—
341#4029—24no—
342#4029—42no—
343#4029—42no—
344#4027—24no—
345#4027—24no—
346D5×C22⋊C4—24no—
347D5×C22⋊C4—24no—
348D5×C22⋊C4—24no—
349D5×C22⋊C4—24no—
350C4×D20—24no—
351C42×D5—24no—
352C5×#95C2311yescharacteristic
353C5×#95C2311yescharacteristic
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392C2×#534—51no—
393C22×C4×D4—51no—
394#2853—51no—
395#2853—51no—
396#2849—51no—
397#2849—51no—
398#2623—51no—
399#2623—51no—
400#2622—51no—
401#2622—51no—
402#2444—51no—
403#2444—51no—
404#2444—51no—
405#2444—51no—
406#2443—51no—
407#2443—51no—
408#2443—51no—
409#2443—51no—
410#2419—51no—
411#2419—51no—
412#2419—51no—
413#2419—51no—
414#2418—51no—
415#2418—51no—
416#2418—51no—
417#2418D511yescharacteristic, complemented
418#2315—51no—
419#2308—51no—
420#2308—51no—
421C2×#386—51no—
422C2×#385—51no—
423C24×C5—22no—
424C24×C5—22no—
425C24×C5—22no—
426C24×C5—41no—
427C24×C5—41no—
428C24×C5—41no—
429C24×C5—41no—
430C24×C5C2411yescharacteristic
431C24×C5C2411yescharacteristic
432C24×C5C2411yescharacteristic
433C24×C5C2411yescharacteristic
434C23×D5—22no—
435C23×D5—22no—
436C23×D5—41no—
437C23×D5—41no—
438C23×D5—41no—
439C23×D5—41no—
440C23×D5—41no—
441C23×D5—41no—
442C23×D5—41no—
443C23×D5—41no—
444C23×D5C2×D414yes—
445C23×D5C2×D414yes—
446C23×D5#4114yes—
447C23×D5#4114yes—
448C23×D5C2411yescharacteristic
449C23×D5C2411yescharacteristic
450C23×D5C2411yescharacteristic
451C2×C5×D4—22no—
452C2×C5×D4—22no—
453C2×C5×D4—22no—
454C2×C5×D4—22no—
455C2×C5×D4—41no—
456C2×C5×D4—41no—
457C2×C5×D4—41no—
458C2×C5×D4—41no—
459C2×C5×D4C2×D414yes—
460C22×C4×C5—22no—
461C22×C4×C5—22no—
462C22×C4×C5—22no—
463C22×C4×C5—22no—
464C22×C4×C5—22no—
465C22×C4×C5—41no—
466C22×C4×C5—41no—
467C22×C4×C5—41no—
468C22×C4×C5—41no—
469C22×C4×C5C2411yescharacteristic
470C22×C4×C5C2411yescharacteristic
471C22×C4×C5C2411yescharacteristic
472C22×C4×C5C2411yescharacteristic
473C22×C4×C5C2411yescharacteristic
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C22×C4×C5C2411yescharacteristic
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2411yescharacteristic
479C22×C4×C5C2411yescharacteristic
480C2×C22⋊D5—22no—
481C2×C22⋊D5—22no—
482C2×C22⋊D5—22no—
483C2×C22⋊D5—22no—
484C2×C22⋊D5—22no—
485C2×C22⋊D5—22no—
486C2×C22⋊D5—22no—
487C2×C22⋊D5—22no—
488C2×C22⋊D5—22no—
489C2×C22⋊D5—22no—
490C2×C22⋊D5—22no—
491C2×C22⋊D5—22no—
492C2×C22⋊D5—22no—
493C2×C22⋊D5—22no—
494C2×C22⋊D5—22no—
495C2×C22⋊D5—22no—
496C2×C22⋊D5—22no—
497C2×C22⋊D5—22no—
498C2×C22⋊D5—41no—
499C2×C22⋊D5—41no—
500C2×C22⋊D5—41no—
501C2×C22⋊D5—41no—
502C2×C22⋊D5—416no—
503C2×C22⋊D5C2×D414yes—
504C2×C22⋊D5C2×D414yes—
505C22×Dic5—22no—
506C22×Dic5—22no—
507C22×Dic5—22no—
508C22×Dic5—22no—
509C22×Dic5—22no—
510C22×Dic5—22no—
511C22×Dic5—22no—
512C22×Dic5—22no—
513C22×Dic5—41no—
514C22×Dic5—41no—
515C22×Dic5—41no—
516C22×Dic5—41no—
517C22×Dic5C2411yescharacteristic
518C22×Dic5C2411yescharacteristic
519C22×Dic5C2411yescharacteristic
520C22×Dic5C2411yescharacteristic
521C22×Dic5C2411yescharacteristic
522C22×Dic5C2411yescharacteristic
523C22×Dic5C2411yescharacteristic
524C22×Dic5C2411yescharacteristic
525C22×Dic5C2411yescharacteristic
526C22×Dic5C2411yescharacteristic
527C22×Dic5C2411yescharacteristic
528C22×Dic5C2411yescharacteristic
529C22×Dic5C2411yescharacteristic
530D4×D5—232no—
531C2×D20—22no—
532C2×D20—22no—
533C2×D20C2×D414yes—
534C2×C4×D5—22no—
535C2×C4×D5—22no—
536C2×C4×D5—22no—
537C2×C4×D5—22no—
538C2×C4×D5—22no—
539C2×C4×D5—22no—
540C2×C4×D5—22no—
541C2×C4×D5—22no—
542C2×C4×D5—22no—
543C2×C4×D5—22no—
544C2×C4×D5—22no—
545C2×C4×D5—22no—
546C2×C4×D5—22no—
547C2×C4×D5—22no—
548C2×C4×D5—22no—
549C2×C4×D5—22no—
550C2×C4×D5—22no—
551C2×C4×D5—22no—
552C2×C4×D5—22no—
553C2×C4×D5—22no—
554C2×C4×D5—416no—
555C2×C4×D5—416no—
556C2×C4×D5—41no—
557C2×C4×D5—41no—
558C2×C4×D5—41no—
559C2×C4×D5—41no—
560C2×C4×D5—41no—
561C2×C4×D5—41no—
562C2×C4×D5—41no—
563C2×C4×D5—41no—
564C2×C4×D5—41no—
565C2×C4×D5—41no—
566C2×C4×D5—41no—
567C2×C4×D5—41no—
568C2×C4×D5—41no—
569C2×C4×D5—41no—
570C2×C4×D5—41no—
571C2×C4×D5—41no—
572C2×C4×D5—41no—
573C2×C4×D5—41no—
574C2×C4×D5C2×D414yes—
575C5×C4⋊C4—22no—
576C5×C4⋊C4—22no—
577C5×C4⋊C4—41no—
578C5×C4⋊C4—41no—
579C5×C4⋊C4—41no—
580C5×C22⋊C4—22no—
581C5×C22⋊C4—22no—
582C5×C22⋊C4—22no—
583C5×C22⋊C4—22no—
584C5×C22⋊C4—22no—
585C5×C22⋊C4—22no—
586C5×C22⋊C4—22no—
587C5×C22⋊C4—22no—
588C5×C22⋊C4—41no—
589C5×C22⋊C4—41no—
590C5×C22⋊C4—41no—
591C5×C22⋊C4—41no—
592C5×C22⋊C4—41no—
593C5×C22⋊C4—41no—
594C5×C22⋊C4—41no—
595C5×C22⋊C4—41no—
596C42×C5—22no—
597C22⋊Dic5—22no—
598C22⋊Dic5—22no—
599C22⋊Dic5—22no—
600C22⋊Dic5—22no—
601C22⋊Dic5—22no—
602C22⋊Dic5—22no—
603C22⋊Dic5—22no—
604C22⋊Dic5—22no—
605C22⋊Dic5—22no—
606C22⋊Dic5—22no—
607C22⋊Dic5—41no—
608C22⋊Dic5—41no—
609C22⋊Dic5—41no—
610C22⋊Dic5—41no—
611C22⋊Dic5—41no—
612C22⋊Dic5—41no—
613C22⋊Dic5—41no—
614C22⋊Dic5—41no—
615#685—22no—
616#685—22no—
617#685—22no—
618#685—22no—
619#685—22no—
620#685—22no—
621#685—22no—
622#685—22no—
623#685—22no—
624#685—22no—
625#685—22no—
626#685—22no—
627#685—22no—
628#685—22no—
629#685—41no—
630#685—41no—
631#685—41no—
632#685—41no—
633C4⋊Dic5—22no—
634C4⋊Dic5—22no—
635C4⋊Dic5—22no—
636C4⋊Dic5—22no—
637C4⋊Dic5—41no—
638C4⋊Dic5—41no—
639C4⋊Dic5—41no—
640#683—22no—
641#683—22no—
642#683—22no—
643#683—22no—
644#683—22no—
645#683—22no—
646#683—41no—
647#683—41no—
648#683—41no—
649#683—41no—
650#683—41no—
651#683—41no—
652C4×Dic5—22no—
653C4×Dic5—22no—
654C4×Dic5—22no—
655C23×D4—51no—
656C23×D4—51no—
657C24×C4—51no—
658C24×C4—51no—
659#534—108no—
660C2×#123—51no—
661C2×#123—51no—
662C2×#123—51no—
663C2×#123—51no—
664C2×#123—51no—
665C2×#123—51no—
666C2×#123—51no—
667C2×#123C2×D511yescharacteristic, complemented
668C2×#121—51no—
669C2×#121—51no—
670C2×#121—51no—
671C2×#121—51no—
672C2×#120—51no—
673C2×#120—51no—
674C2×#120—51no—
675C2×#120C2×D511yescharacteristic
676C2×C4×D4—51no—
677C2×C4×D4—51no—
678C2×C4×D4—51no—
679C2×C4×D4—51no—
680C2×C4×D4—51no—
681C2×C4×D4—51no—
682C2×C4×D4—51no—
683C2×C4×D4—108no—
684C2×C4×D4C2×D511yescharacteristic
685C22×C4⋊C4—51no—
686C22×C4⋊C4—51no—
687C22×C4⋊C4—51no—
688C22×C22⋊C4—51no—
689C22×C22⋊C4—51no—
690C22×C22⋊C4—51no—
691C22×C22⋊C4—51no—
692C22×C22⋊C4—51no—
693C22×C22⋊C4—51no—
694C22×C22⋊C4C2×D511yescharacteristic, complemented
695C22×C42—51no—
696#400—51no—
697#400—51no—
698#400—51no—
699#400—51no—
700#399—51no—
701#399—51no—
702#399—51no—
703#399C2×D511yescharacteristic, complemented
704#398—51no—
705#398—51no—
706#398—51no—
707#398—51no—
708#397—51no—
709#397—51no—
710#397—51no—
711#397—51no—
712#397—51no—
713#397—51no—
714#397—51no—
715#397—51no—
716#397—51no—
717#397—51no—
718#397—51no—
719#397C2×D511yescharacteristic, complemented
720#394—51no—
721#394—51no—
722#394—51no—
723#394—51no—
724#394—51no—
725#394—51no—
726#394C2×D511yescharacteristic, complemented
727#394C2×D511yescharacteristic, complemented
728#388—51no—
729#388—51no—
730#388—51no—
731#388—51no—
732#388—51no—
733#388—51no—
734#388C2×D511yescharacteristic, complemented
735#388C2×D511yescharacteristic, complemented
736#387—51no—
737#387—51no—
738#387—51no—
739#387—51no—
740#387—51no—
741#387—51no—
742#387—51no—
743#387—51no—
744#386—51no—
745#386—51no—
746#386—51no—
747#386—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386—51no—
754#386—51no—
755#386—51no—
756#386—51no—
757#386—51no—
758#386—51no—
759#386—51no—
760#386—51no—
761#386—51no—
762#386—51no—
763#386—51no—
764#386—51no—
765#386—51no—
766#386—51no—
767#386—51no—
768#386—51no—
769#386—51no—
770#386C2×D511yescharacteristic
771#386C2×D511yescharacteristic, complemented
772#385—51no—
773#385—51no—
774#385—51no—
775#385—51no—
776#385—51no—
777#385—51no—
778#385—51no—
779#385—51no—
780#385—51no—
781#385—51no—
782#385—51no—
783#385—51no—
784#385—51no—
785#385—51no—
786#385—51no—
787#385—51no—
788#385—51no—
789#385—51no—
790#385—51no—
791#385C2×D511yescharacteristic, complemented
792#381—51no—
793#381—51no—
794#381—51no—
795#381—51no—
796#381—51no—
797#381—51no—
798#381—51no—
799#381—51no—
800#380—51no—
801#380—51no—
802#380—51no—
803#380C2×D511yescharacteristic, complemented
804#379—51no—
805#379—51no—
806#379—51no—
807#379C2×D511yescharacteristic, complemented
808C2×#95—51no—
809C2×#95—51no—
810C2×#95—51no—
811C2×#95—51no—
812C23×C5—21no—
813C23×C5—21no—
814C23×C5—21no—
815C23×C5—21no—
816C23×C5—21no—
817C23×C5—21no—
818C23×C5—21no—
819C23×C5—21no—
820C23×C5—21no—
821C23×C5—21no—
822C23×C5—21no—
823C23×C5—21no—
824C23×C5—21no—
825C23×C5—21no—
826C23×C5—21no—
827C23×C5—21no—
828C23×C5—21no—
829C23×C5—21no—
830C23×C5—21no—
831C23×C5—21no—
832C23×C5—21no—
833C23×C5—21no—
834C23×C5—21no—
835C23×C5—21no—
836C23×C5—44no—
837C23×C5—44no—
838C23×C5—44no—
839C23×C5—82no—
840C23×C5—82no—
841C23×C5—82no—
842C23×C5—82no—
843C23×C5C22×D412yes—
844C23×C5C22×D412yes—
845C23×C5C2×#4112yes—
846C23×C5C2×#4112yes—
847C23×C5C2511yescharacteristic
848C22×D5—21no—
849C22×D5—21no—
850C22×D5—21no—
851C22×D5—21no—
852C22×D5—21no—
853C22×D5—21no—
854C22×D5—21no—
855C22×D5—21no—
856C22×D5—21no—
857C22×D5—21no—
858C22×D5—21no—
859C22×D5—21no—
860C22×D5—21no—
861C22×D5—21no—
862C22×D5—28no—
863C22×D5—44no—
864C22×D5—44no—
865C22×D5—44no—
866C22×D5—44no—
867C22×D5—44no—
868C22×D5—44no—
869C22×D5—44no—
870C22×D5—44no—
871C22×D5—44no—
872C22×D5—44no—
873C22×D5—44no—
874C22×D5—44no—
875C22×D5#123116yescomplemented
876C22×D5C22×D412yes—
877C22×D5C22×D412yes—
878C22×D5C22×D412yes—
879C22×D5C2×#4112yes—
880C22×D5C2×#4112yes—
881C22×D5C2×#4112yes—
882C22×D5C2×#4112yes—
883C5×D4—28no—
884C5×D4—82no—
885C5×D4—82no—
886C2×C4×C5—21no—
887C2×C4×C5—21no—
888C2×C4×C5—21no—
889C2×C4×C5—21no—
890C2×C4×C5—21no—
891C2×C4×C5—21no—
892C2×C4×C5—21no—
893C2×C4×C5—21no—
894C2×C4×C5—21no—
895C2×C4×C5—21no—
896C2×C4×C5—21no—
897C2×C4×C5—21no—
898C2×C4×C5—21no—
899C2×C4×C5—21no—
900C2×C4×C5—21no—
901C2×C4×C5—21no—
902C2×C4×C5—21no—
903C2×C4×C5—21no—
904C2×C4×C5—21no—
905C2×C4×C5—21no—
906C2×C4×C5—21no—
907C2×C4×C5—21no—
908C2×C4×C5—21no—
909C2×C4×C5—21no—
910C2×C4×C5—21no—
911C2×C4×C5—21no—
912C2×C4×C5—21no—
913C2×C4×C5—21no—
914C2×C4×C5—21no—
915C2×C4×C5—21no—
916C2×C4×C5—21no—
917C2×C4×C5—44no—
918C2×C4×C5—44no—
919C2×C4×C5—82no—
920C2×C4×C5C22×D412yes—
921C2×C4×C5H(5,𝔽2)12yes—
922C22⋊D5—28no—
923C22⋊D5—28no—
924C22⋊D5—44no—
925C22⋊D5—44no—
926C22⋊D5—44no—
927C22⋊D5—44no—
928C22⋊D5—82no—
929C22⋊D5—82no—
930C2×Dic5—21no—
931C2×Dic5—21no—
932C2×Dic5—21no—
933C2×Dic5—21no—
934C2×Dic5—21no—
935C2×Dic5—21no—
936C2×Dic5—21no—
937C2×Dic5—21no—
938C2×Dic5—21no—
939C2×Dic5—21no—
940C2×Dic5—21no—
941C2×Dic5—21no—
942C2×Dic5—21no—
943C2×Dic5—21no—
944C2×Dic5—21no—
945C2×Dic5—21no—
946C2×Dic5—21no—
947C2×Dic5—21no—
948C2×Dic5—21no—
949C2×Dic5—21no—
950C2×Dic5—21no—
951C2×Dic5—21no—
952C2×Dic5—21no—
953C2×Dic5—21no—
954C2×Dic5—21no—
955C2×Dic5—21no—
956C2×Dic5—21no—
957C2×Dic5—21no—
958C2×Dic5—21no—
959C2×Dic5—21no—
960C2×Dic5—21no—
961C2×Dic5—21no—
962C2×Dic5—21no—
963C2×Dic5—21no—
964C2×Dic5—21no—
965C2×Dic5—21no—
966C2×Dic5—21no—
967C2×Dic5—44no—
968C2×Dic5—44no—
969C2×Dic5—44no—
970C2×Dic5—82no—
971C2×Dic5C22×D412yes—
972C2×Dic5H(5,𝔽2)12yes—
973D20—28no—
974C4×D5—28no—
975C4×D5—28no—
976C4×D5—44no—
977C4×D5—44no—
978C4×D5—44no—
979C4×D5—44no—
980C4×D5—44no—
981C4×D5—44no—
982C4×D5—44no—
983C4×D5—44no—
984C4×D5—44no—
985C4×D5—82no—
986C4×D5—82no—
987C25—51no—
988C25—51no—
989C25C22×D511yescharacteristic
990C22×D4—51no—
991C22×D4—51no—
992C22×D4—58no—
993C22×D4—51no—
994C22×D4—51no—
995C22×D4—51no—
996C22×D4—51no—
997C22×D4—51no—
998C22×D4—51no—
999C22×D4—51no—
1000C22×D4—104no—
1001C22×D4—104no—
1002C22×D4—104no—
1003C22×D4—104no—
1004C22×D4—104no—
1005C22×D4C22×D511yescharacteristic
1006C22×D4C22×D511yescharacteristic
1007C22×D4C22×D511yescharacteristic
1008C23×C4—51no—
1009C23×C4—51no—
1010C23×C4—51no—
1011C23×C4—51no—
1012C23×C4—51no—
1013C23×C4—51no—
1014C23×C4—51no—
1015C23×C4—51no—
1016C23×C4—51no—
1017C23×C4—51no—
1018C23×C4—51no—
1019C23×C4—51no—
1020C23×C4—51no—
1021C23×C4—51no—
1022C23×C4—51no—
1023C23×C4—51no—
1024C23×C4—51no—
1025C23×C4—104no—
1026C23×C4—104no—
1027C23×C4—202no—
1028C23×C4—202no—
1029C23×C4—202no—
1030C23×C4—202no—
1031C23×C4C22×D511yescharacteristic
1032C23×C4C22×D511yescharacteristic
1033C23×C4C22×D511yescharacteristic
1034#123—42no—
1035#123—104no—
1036#123—104no—
1037#123—104no—
1038#123—104no—
1039#123—202no—
1040#123—202no—
1041#123—202no—
1042#121—104no—
1043#121—104no—
1044#121—104no—
1045#121—104no—
1046#120—24no—
1047#120—104no—
1048#120—104no—
1049#120—104no—
1050C4×D4—24no—
1051C4×D4—104no—
1052C4×D4—104no—
1053C4×D4—104no—
1054C4×D4—104no—
1055C4×D4—104no—
1056C4×D4—104no—
1057C4×D4—104no—
1058C2×C4⋊C4—51no—
1059C2×C4⋊C4—51no—
1060C2×C4⋊C4—51no—
1061C2×C4⋊C4—51no—
1062C2×C4⋊C4—51no—
1063C2×C4⋊C4—51no—
1064C2×C4⋊C4—51no—
1065C2×C4⋊C4—51no—
1066C2×C4⋊C4—51no—
1067C2×C4⋊C4—51no—
1068C2×C4⋊C4—51no—
1069C2×C4⋊C4—51no—
1070C2×C4⋊C4—51no—
1071C2×C4⋊C4—51no—
1072C2×C4⋊C4—51no—
1073C2×C4⋊C4—51no—
1074C2×C4⋊C4—51no—
1075C2×C4⋊C4—51no—
1076C2×C4⋊C4—51no—
1077C2×C4⋊C4—104no—
1078C2×C4⋊C4—202no—
1079C2×C4⋊C4—202no—
1080C2×C4⋊C4C22×D511yescharacteristic
1081C2×C4⋊C4C22×D511yescharacteristic
1082C2×C4⋊C4C22×D511yescharacteristic
1083C2×C4⋊C4C22×D511yescharacteristic
1084C2×C4⋊C4C22×D511yescharacteristic
1085C2×C22⋊C4—42no—
1086C2×C22⋊C4—51no—
1087C2×C22⋊C4—51no—
1088C2×C22⋊C4—51no—
1089C2×C22⋊C4—51no—
1090C2×C22⋊C4—51no—
1091C2×C22⋊C4—51no—
1092C2×C22⋊C4—51no—
1093C2×C22⋊C4—51no—
1094C2×C22⋊C4—51no—
1095C2×C22⋊C4—51no—
1096C2×C22⋊C4—51no—
1097C2×C22⋊C4—51no—
1098C2×C22⋊C4—51no—
1099C2×C22⋊C4—51no—
1100C2×C22⋊C4—51no—
1101C2×C22⋊C4—51no—
1102C2×C22⋊C4—51no—
1103C2×C22⋊C4—51no—
1104C2×C22⋊C4—51no—
1105C2×C22⋊C4—51no—
1106C2×C22⋊C4—51no—
1107C2×C22⋊C4—51no—
1108C2×C22⋊C4—51no—
1109C2×C22⋊C4—51no—
1110C2×C22⋊C4—51no—
1111C2×C22⋊C4—51no—
1112C2×C22⋊C4—51no—
1113C2×C22⋊C4—51no—
1114C2×C22⋊C4—51no—
1115C2×C22⋊C4—51no—
1116C2×C22⋊C4—51no—
1117C2×C22⋊C4—51no—
1118C2×C22⋊C4—51no—
1119C2×C22⋊C4—51no—
1120C2×C22⋊C4—51no—
1121C2×C22⋊C4—51no—
1122C2×C22⋊C4—104no—
1123C2×C22⋊C4—104no—
1124C2×C22⋊C4—104no—
1125C2×C22⋊C4—104no—
1126C2×C22⋊C4—104no—
1127C2×C22⋊C4—202no—
1128C2×C22⋊C4C22×D511yescharacteristic
1129C2×C22⋊C4C22×D511yescharacteristic
1130C2×C22⋊C4C22×D511yescharacteristic
1131C2×C22⋊C4C22×D511yescharacteristic
1132C2×C22⋊C4C22×D511yescharacteristic
1133C2×C22⋊C4C22×D511yescharacteristic
1134C2×C22⋊C4C22×D511yescharacteristic
1135C2×C22⋊C4C22×D511yescharacteristic
1136C2×C22⋊C4C22×D511yescharacteristic
1137C2×C22⋊C4C22×D511yescharacteristic
1138C2×C22⋊C4C22×D511yescharacteristic
1139C2×C22⋊C4C22×D511yescharacteristic
1140C2×C22⋊C4C22×D511yescharacteristic
1141C2×C22⋊C4C22×D511yescharacteristic
1142C2×C22⋊C4C22×D511yescharacteristic
1143C2×C22⋊C4C22×D511yescharacteristic
1144C2×C42—51no—
1145C2×C42—51no—
1146C2×C42—51no—
1147C2×C42—104no—
1148C2×C42C22×D511yescharacteristic
1149#95—51no—
1150#95—51no—
1151#95—51no—
1152#95—51no—
1153#95—51no—
1154#95—51no—
1155#95—51no—
1156#95—51no—
1157#95—51no—
1158#95—51no—
1159#95—51no—
1160#95—51no—
1161#95—51no—
1162#95—51no—
1163#95—51no—
1164#95—51no—
1165#95—51no—
1166#95—51no—
1167#95—51no—
1168#95—51no—
1169#95—51no—
1170#95—51no—
1171#95—51no—
1172#95—51no—
1173#95—51no—
1174#95—51no—
1175#95—51no—
1176#95—51no—
1177#95—51no—
1178#95—51no—
1179#95—51no—
1180#95—51no—
1181#95—51no—
1182#95—51no—
1183#95C22×D511yescharacteristic
1184#95C22×D511yescharacteristic
1185#95C22×D511yescharacteristic
1186#95C22×D511yescharacteristic
1187#95C22×D511yescharacteristic
1188#95C22×D511yescharacteristic
1189C22×C5—22no—
1190C22×C5—22no—
1191C22×C5—22no—
1192C22×C5—22no—
1193C22×C5—22no—
1194C22×C5—22no—
1195C22×C5—22no—
1196C22×C5—22no—
1197C22×C5—22no—
1198C22×C5—41no—
1199C22×C5—41no—
1200C22×C5—41no—
1201C22×C5—41no—
1202C22×C5—41no—
1203C22×C5—41no—
1204C22×C5—41no—
1205C22×C5—41no—
1206C22×C5—41no—
1207C22×C5—41no—
1208C22×C5—41no—
1209C22×C5—41no—
1210C22×C5—41no—
1211C22×C5—41no—
1212C22×C5—41no—
1213C22×C5—41no—
1214C22×C5—41no—
1215C22×C5—41no—
1216C22×C5—88no—
1217C22×C5C2×#12314yes—
1218C22×C5C23×D411yescharacteristic
1219C22×C5C22×#4111yescharacteristic
1220C22×C5C22×#4111yescharacteristic
1221C22×C5C2×H(5,𝔽2)11yescharacteristic
1222C22×C5C2×H(5,𝔽2)11yescharacteristic
1223C22×C5#58511yescharacteristic
1224C22×C5#58511yescharacteristic
1225C2×D5—22no—
1226C2×D5—22no—
1227C2×D5—22no—
1228C2×D5—22no—
1229C2×D5—22no—
1230C2×D5—22no—
1231C2×D5—22no—
1232C2×D5—22no—
1233C2×D5—22no—
1234C2×D5—22no—
1235C2×D5—22no—
1236C2×D5—22no—
1237C2×D5—22no—
1238C2×D5—22no—
1239C2×D5—22no—
1240C2×D5—416no—
1241C2×D5—416no—
1242C2×D5—41no—
1243C2×D5—41no—
1244C2×D5—41no—
1245C2×D5—41no—
1246C2×D5C2×#12314yes—
1247C2×D5C2×#12314yes—
1248C4×C5—22no—
1249C4×C5—22no—
1250C4×C5—41no—
1251C4×C5—41no—
1252C4×C5—41no—
1253C4×C5—41no—
1254C4×C5—41no—
1255C4×C5—41no—
1256C4×C5—41no—
1257C4×C5—41no—
1258C4×C5—41no—
1259Dic5—22no—
1260Dic5—22no—
1261Dic5—41no—
1262Dic5—41no—
1263Dic5—41no—
1264Dic5—41no—
1265Dic5—41no—
1266Dic5—41no—
1267Dic5—41no—
1268Dic5—41no—
1269Dic5—41no—
1270Dic5—41no—
1271Dic5—41no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—51no—
1280C24—51no—
1281C24—54no—
1282C24—54no—
1283C24—54no—
1284C24—51no—
1285C24—54no—
1286C24—102no—
1287C24—102no—
1288C24—201no—
1289C24—201no—
1290C24—201no—
1291C24—201no—
1292C24—201no—
1293C24—201no—
1294C24—201no—
1295C24—201no—
1296C24C23×D511yescharacteristic
1297C24C23×D511yescharacteristic
1298C24C23×D511yescharacteristic
1299C24C23×D511yescharacteristic
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—54no—
1309C2×D4—54no—
1310C2×D4—54no—
1311C2×D4—102no—
1312C2×D4—102no—
1313C2×D4—1032no—
1314C2×D4—102no—
1315C2×D4—102no—
1316C2×D4—102no—
1317C2×D4—102no—
1318C2×D4—102no—
1319C2×D4—102no—
1320C2×D4—102no—
1321C2×D4—102no—
1322C2×D4—102no—
1323C2×D4—102no—
1324C2×D4—102no—
1325C2×D4—102no—
1326C2×D4—102no—
1327C2×D4—102no—
1328C2×D4—102no—
1329C2×D4—102no—
1330C2×D4—102no—
1331C2×D4—102no—
1332C2×D4—201no—
1333C2×D4—201no—
1334C2×D4—201no—
1335C2×D4—201no—
1336C2×D4—2016no—
1337C2×D4D4×D514yes—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—51no—
1348C22×C4—51no—
1349C22×C4—54no—
1350C22×C4—51no—
1351C22×C4—51no—
1352C22×C4—51no—
1353C22×C4—51no—
1354C22×C4—51no—
1355C22×C4—51no—
1356C22×C4—51no—
1357C22×C4—51no—
1358C22×C4—51no—
1359C22×C4—51no—
1360C22×C4—51no—
1361C22×C4—102no—
1362C22×C4—102no—
1363C22×C4—102no—
1364C22×C4—102no—
1365C22×C4—102no—
1366C22×C4—102no—
1367C22×C4—102no—
1368C22×C4—102no—
1369C22×C4—102no—
1370C22×C4—102no—
1371C22×C4—102no—
1372C22×C4—102no—
1373C22×C4—102no—
1374C22×C4—102no—
1375C22×C4—102no—
1376C22×C4—102no—
1377C22×C4—102no—
1378C22×C4—102no—
1379C22×C4—102no—
1380C22×C4—102no—
1381C22×C4—102no—
1382C22×C4—102no—
1383C22×C4—102no—
1384C22×C4—102no—
1385C22×C4—102no—
1386C22×C4—102no—
1387C22×C4—102no—
1388C22×C4—102no—
1389C22×C4—201no—
1390C22×C4—201no—
1391C22×C4—201no—
1392C22×C4—201no—
1393C22×C4—201no—
1394C22×C4—201no—
1395C22×C4—201no—
1396C22×C4—201no—
1397C22×C4—201no—
1398C22×C4—201no—
1399C22×C4—201no—
1400C22×C4—201no—
1401C22×C4—201no—
1402C22×C4—201no—
1403C22×C4—201no—
1404C22×C4—201no—
1405C22×C4—201no—
1406C22×C4—201no—
1407C22×C4—2016no—
1408C22×C4—2016no—
1409C22×C4—201no—
1410C22×C4—201no—
1411C22×C4—201no—
1412C22×C4—201no—
1413C22×C4C23×D511yescharacteristic
1414C22×C4C23×D511yescharacteristic
1415C22×C4C23×D511yescharacteristic
1416C22×C4C23×D511yescharacteristic
1417C22×C4C23×D511yescharacteristic
1418C22×C4C23×D511yescharacteristic
1419C22×C4C23×D511yescharacteristic
1420C22×C4C23×D511yescharacteristic
1421C22×C4C23×D511yescharacteristic
1422C22×C4C23×D511yescharacteristic
1423C22×C4C23×D511yescharacteristic
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—102no—
1430C4⋊C4—102no—
1431C4⋊C4—102no—
1432C4⋊C4—102no—
1433C4⋊C4—102no—
1434C4⋊C4—102no—
1435C4⋊C4—102no—
1436C4⋊C4—102no—
1437C4⋊C4—102no—
1438C4⋊C4—102no—
1439C4⋊C4—201no—
1440C4⋊C4—201no—
1441C4⋊C4—201no—
1442C4⋊C4—201no—
1443C4⋊C4—201no—
1444C4⋊C4—201no—
1445C4⋊C4—201no—
1446C4⋊C4—201no—
1447C4⋊C4—201no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—102no—
1465C22⋊C4—102no—
1466C22⋊C4—102no—
1467C22⋊C4—102no—
1468C22⋊C4—102no—
1469C22⋊C4—102no—
1470C22⋊C4—102no—
1471C22⋊C4—102no—
1472C22⋊C4—102no—
1473C22⋊C4—102no—
1474C22⋊C4—102no—
1475C22⋊C4—102no—
1476C22⋊C4—102no—
1477C22⋊C4—102no—
1478C22⋊C4—102no—
1479C22⋊C4—102no—
1480C22⋊C4—102no—
1481C22⋊C4—102no—
1482C22⋊C4—102no—
1483C22⋊C4—102no—
1484C22⋊C4—102no—
1485C22⋊C4—102no—
1486C22⋊C4—102no—
1487C22⋊C4—102no—
1488C22⋊C4—201no—
1489C22⋊C4—201no—
1490C22⋊C4—201no—
1491C22⋊C4—201no—
1492C22⋊C4—201no—
1493C22⋊C4—201no—
1494C22⋊C4—201no—
1495C22⋊C4—201no—
1496C22⋊C4—201no—
1497C22⋊C4—201no—
1498C22⋊C4—201no—
1499C22⋊C4—201no—
1500C42—22no—
1501C42—102no—
1502C42—102no—
1503C42—102no—
1504C2×C5—24no—
1505C2×C5—42no—
1506C2×C5—81no—
1507C2×C5—81no—
1508C2×C5C22×#12311yescharacteristic
1509C2×C5#345911yescharacteristic
1510C2×C5#345911yescharacteristic
1511C2×C5#348411yescharacteristic
1512C2×C5#348511yescharacteristic
1513C2×C5#350511yescharacteristic
1514C2×C5#350511yescharacteristic
1515D5—24no—
1516D5—24no—
1517D5—42no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—52no—
1546C23—52no—
1547C23—52no—
1548C23—52no—
1549C23—52no—
1550C23—52no—
1551C23—516no—
1552C23—52no—
1553C23—82no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23—108no—
1558C23—101no—
1559C23—101no—
1560C23—101no—
1561C23—101no—
1562C23—101no—
1563C23—101no—
1564C23—101no—
1565C23—101no—
1566C23—101no—
1567C23—101no—
1568C23—101no—
1569C23—101no—
1570C23—101no—
1571C23—101no—
1572C23—204no—
1573C23—204no—
1574C23—204no—
1575C23—204no—
1576C23—204no—
1577C23—204no—
1578C23—204no—
1579C23—204no—
1580C23—204no—
1581C23—204no—
1582C23—204no—
1583C23—204no—
1584C23C2×D4×D512yes—
1585C23C2×D4×D512yes—
1586C23D5×#4112yes—
1587C23D5×#4112yes—
1588C23C24×D511yescharacteristic
1589D4—28no—
1590D4—82no—
1591D4—82no—
1592D4—108no—
1593D4—108no—
1594D4—108no—
1595D4—204no—
1596D4—204no—
1597D4—204no—
1598D4—204no—
1599D4—402no—
1600D4—402no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—52no—
1635C2×C4—52no—
1636C2×C4—82no—
1637C2×C4—108no—
1638C2×C4—108no—
1639C2×C4—101no—
1640C2×C4—101no—
1641C2×C4—101no—
1642C2×C4—101no—
1643C2×C4—101no—
1644C2×C4—101no—
1645C2×C4—101no—
1646C2×C4—101no—
1647C2×C4—101no—
1648C2×C4—101no—
1649C2×C4—101no—
1650C2×C4—101no—
1651C2×C4—101no—
1652C2×C4—101no—
1653C2×C4—101no—
1654C2×C4—101no—
1655C2×C4—101no—
1656C2×C4—101no—
1657C2×C4—101no—
1658C2×C4—101no—
1659C2×C4—101no—
1660C2×C4—101no—
1661C2×C4—101no—
1662C2×C4—101no—
1663C2×C4—101no—
1664C2×C4—101no—
1665C2×C4—101no—
1666C2×C4—101no—
1667C2×C4—101no—
1668C2×C4—101no—
1669C2×C4—101no—
1670C2×C4—101no—
1671C2×C4—101no—
1672C2×C4—101no—
1673C2×C4—101no—
1674C2×C4—101no—
1675C2×C4—101no—
1676C2×C4—204no—
1677C2×C4—204no—
1678C2×C4—204no—
1679C2×C4—204no—
1680C2×C4—204no—
1681C2×C4—204no—
1682C2×C4—204no—
1683C2×C4—204no—
1684C2×C4—204no—
1685C2×C4—204no—
1686C2×C4—204no—
1687C2×C4—204no—
1688C2×C4—402no—
1689C2×C4—402no—
1690C2×C4—402no—
1691C2×C4C2×D4×D512yes—
1692C2×C4#414412yes—
1693C5#3498311yescharacteristic, complemented, Sylow
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—54no—
1722C22—54no—
1723C22—88no—
1724C22—102no—
1725C22—102no—
1726C22—102no—
1727C22—102no—
1728C22—102no—
1729C22—102no—
1730C22—102no—
1731C22—102no—
1732C22—102no—
1733C22—102no—
1734C22—102no—
1735C22—102no—
1736C22—102no—
1737C22—102no—
1738C22—102no—
1739C22—2016no—
1740C22—2016no—
1741C22—201no—
1742C22—201no—
1743C22—201no—
1744C22—201no—
1745C22D5×#12314yes—
1746C22C22×D4×D511yescharacteristic
1747C22C2×#414411yescharacteristic
1748C22C2×D5×#4111yescharacteristic
1749C22C2×D5×#4111yescharacteristic
1750C22#6628311yescharacteristic
1751C22D5×H(5,𝔽2)11yescharacteristic
1752C22#6628511yescharacteristic
1753C4—22no—
1754C4—22no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—102no—
1765C4—102no—
1766C4—201no—
1767C4—201no—
1768C4—201no—
1769C4—201no—
1770C4—201no—
1771C4—201no—
1772C4—201no—
1773C4—201no—
1774C4—201no—
1775C4—201no—
1776C4—201no—
1777C2—24no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—104no—
1782C2—104no—
1783C2—202no—
1784C2C2×D5×#12311yescharacteristic
1785C2#1061793711yescharacteristic
1786C2#1061828911yescharacteristic
1787C2#1061852111yescharacteristic
1788C2#1061856411yescharacteristic
1789C2#1061856711yescharacteristic
1790C2#1061871811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2418C2
prime radicalC2×#65923C2
hypercenter#2418D5
hypocenterC5#34983
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D5C2semidirect
3. C5×#2418C2semidirect
4. #10614643C2semidirect
5. #10614628C2semidirect
6. #10614316C2semidirect
7. #10614085C2semidirect
8. #10613859C2semidirect
9. C2×#65245C2semidirect
10. #10609840C2semidirect
11. #10609834C2semidirect
12. #10609417C2semidirect
13. #10609406C2semidirect
14. #10608856C2semidirect
15. #10608856C2semidirect
16. #10608849C2semidirect
17. #10608848C2semidirect
18. #10607690C2semidirect
19. #10607690C2semidirect
20. #10607580C2semidirect
21. #10607579C2semidirect
22. #10606667C2semidirect
23. #10606628C2semidirect
24. #10606605C2semidirect
25. #10606425C2semidirect
26. D5×#385C2semidirect
27. #10606139C2semidirect
28. #10605736C2semidirect
29. #10605621C2semidirect
30. #10605580C2semidirect
31. #10605557C2semidirect
35. C23×C4×D5C22semidirect
36. C2×C5×#123C22semidirect
39. C22×C5×C22⋊C4C22semidirect
41. C22×C22⋊Dic5C22semidirect
47. C2×#4081C22semidirect
50. C2×C4×C22⋊D5C22semidirect
54. C2×#4039C22semidirect
55. C2×D5×C4⋊C4C22semidirect
56. C2×D5×C4⋊C4C22semidirect
57. C2×D5×C4⋊C4C22semidirect
63. C2×#4029C22semidirect
64. C2×#4029C22semidirect
66. C2×#4027C22semidirect
70. C2×D5×C22⋊C4C22semidirect
71. C2×C4×D20C22semidirect
72. C2×C42×D5C22semidirect
73. C5×#399C22semidirect
74. C5×#397C22semidirect
75. C5×#394C22semidirect
76. C5×#394C22semidirect
77. C5×#388C22semidirect
78. C5×#388C22semidirect
80. C5×#386C22semidirect
81. C5×#385C22semidirect
82. C5×#380C22semidirect
83. C5×#379C22semidirect
84. #65536C22semidirect
85. #65511C22semidirect
86. #65511C22semidirect
88. #65509C22semidirect
90. #65501C22semidirect
91. #65500C22semidirect
92. #65499C22semidirect
93. #65499C22semidirect
94. C2×#3963C22semidirect
95. C2×#3963C22semidirect
96. #65282C22semidirect
97. #65282C22semidirect
98. #65278C22semidirect
99. #65278C22semidirect
100. #65278C22semidirect
101. #65278C22semidirect
102. #65278C22semidirect
103. #65278C22semidirect
104. #65278C22semidirect
105. #65278C22semidirect
106. #65273C22semidirect
107. #65273C22semidirect
108. #65271C22semidirect
109. #65270C22semidirect
110. #65270C22semidirect
111. #65269C22semidirect
112. #65250C22semidirect
113. #65250C22semidirect
114. #65248C22semidirect
115. #65248C22semidirect
125. #65245C22semidirect
126. #65245C22semidirect
127. #65245C22semidirect
128. #65245C22semidirect
129. #65245C22semidirect
130. #65245C22semidirect
131. #65245C22semidirect
132. #65245C22semidirect
133. #65245C22semidirect
134. #65245C22semidirect
135. #65245C22semidirect
136. #65245C22semidirect
137. #65244C22semidirect
138. #65244C22semidirect
139. #65242C22semidirect
140. #65242C22semidirect
141. #65242C22semidirect
142. #65241C22semidirect
143. #65241C22semidirect
144. #65241C22semidirect
145. #65241C22semidirect
146. #65240C22semidirect
147. #65240C22semidirect
148. #65239C22semidirect
149. #65239C22semidirect
150. #65238C22semidirect
151. #65238C22semidirect
152. #65238C22semidirect
153. #65235C22semidirect
154. #65234C22semidirect
155. #65234C22semidirect
156. #65233C22semidirect
157. #65233C22semidirect
158. #65232C22semidirect
159. #65232C22semidirect
160. #65232C22semidirect
161. #65231C22semidirect
162. #65231C22semidirect
163. #65222C22semidirect
164. #65222C22semidirect
165. #64964C22semidirect
166. #64964C22semidirect
167. #64957C22semidirect
168. #64957C22semidirect
169. #64957C22semidirect
170. #64957C22semidirect
171. #64957C22semidirect
172. #64957C22semidirect
173. #64954C22semidirect
174. #64954C22semidirect
175. #64953C22semidirect
176. #64953C22semidirect
177. #64953C22semidirect
178. #64953C22semidirect
179. D5×#95C22semidirect
180. D5×#95C22semidirect
181. #64950C22semidirect
182. #64949C22semidirect
183. #64949C22semidirect
184. #64948C22semidirect
185. #64944C22semidirect
186. #64944C22semidirect
187. #64942C22semidirect
188. #64942C22semidirect
417. #2418D5semidirect
667. C2×#123C2×D5semidirect
694. C22×C22⋊C4C2×D5semidirect
703. #399C2×D5semidirect
719. #397C2×D5semidirect
726. #394C2×D5semidirect
727. #394C2×D5semidirect
734. #388C2×D5semidirect
735. #388C2×D5semidirect
771. #386C2×D5semidirect
791. #385C2×D5semidirect
803. #380C2×D5semidirect
807. #379C2×D5semidirect
875. C22×D5#123semidirect
1693. C5#34983semidirect

Maximal subgroups

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

subgroupindex
C2×#659232
C2×C4×D4×D52
C5×#24182
#106146432
#106146282
#106143162
#106140852
#106138592
C2×#652452
#106098402
#106098342
#106094172
#106094062
#106088562
#106088492
#106088482
#106076902
#106075802
#106075792
#106066672
#106066282
#106066052
#106064252
D5×#3852
#106061392
#106057362
#106056212
#106055802
#106055572
#349835