Finite Group Databasebeta

← #12272012

Subgroups — #12272012

Order 1280.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D5C211yesmaximal, characteristic, complemented
2C2×#65898C211yesmaximal, characteristic, complemented
3C5×#2325C211yesmaximal, characteristic, complemented
4#10614433C211yesmaximal, characteristic
5#10614376C211yesmaximal, characteristic, complemented
6C4×#4083C211yesmaximal, characteristic, complemented
7#10614057C211yesmaximal, characteristic, complemented
8#10607689C211yesmaximal, characteristic, complemented
9#10607632C211yesmaximal, characteristic, complemented
10#10607586C211yesmaximal, characteristic, complemented
11#10607270C211yesmaximal, characteristic, complemented
12#10607176C211yesmaximal, characteristic, complemented
13#10607110C211yesmaximal, characteristic, complemented
14#10607061C211yesmaximal, characteristic, complemented
15#10606739C211yesmaximal, characteristic, complemented
16#10606667C211yesmaximal, characteristic, complemented
17#10606631C211yesmaximal, characteristic, complemented
18#10606623C211yesmaximal, characteristic, complemented
19#10606515C211yesmaximal, characteristic, complemented
20#10606441C211yesmaximal, characteristic, complemented
21#10606435C211yesmaximal, characteristic, complemented
22#10606421C211yesmaximal, characteristic, complemented
23#10606417C211yesmaximal, characteristic, complemented
24#10606386C211yesmaximal, characteristic, complemented
25#10606342C211yesmaximal, characteristic, complemented
26#10606340C211yesmaximal, characteristic, complemented
27#10606234C211yesmaximal, characteristic, complemented
28#10605627C211yesmaximal, characteristic, complemented
29#10605621C211yesmaximal, characteristic, complemented
30#10605098C211yesmaximal, characteristic, complemented
31C2×#64957C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×#121C2211yescharacteristic
36C2×C4×C5×D4C2211yescharacteristic
37C2×C4×C5×D4C2211yescharacteristic, complemented
38C2×#4085C2211yescharacteristic
39C2×#4083C2211yescharacteristic
40C2×#4083C2211yescharacteristic
41C2×#4081C2211yescharacteristic
42C2×#4081C2211yescharacteristic, complemented
43C2×D4×Dic5C2211yescharacteristic
44C2×#4075C2211yescharacteristic, complemented
45C2×C4×C22⋊D5C2211yescharacteristic
46C2×C4×C22⋊D5C2211yescharacteristic
47C2×C4×C22⋊D5C2211yescharacteristic
48C2×C4×C22⋊D5C2211yescharacteristic, complemented
49C22×#685C2211yescharacteristic
50C22×#685C2211yescharacteristic
51C22×C4⋊Dic5C2211yescharacteristic, complemented
52C2×#4070C2211yescharacteristic, complemented
53C22×#683C2211yescharacteristic, complemented
54#65898—28no—
55C4×D4×D5—28no—
56C2×#4042C2211yescharacteristic
57C2×#4042C2211yescharacteristic, complemented
58C2×#4039C2211yescharacteristic
59C2×D5×C4⋊C4C2211yescharacteristic
60C2×#4035C2211yescharacteristic, complemented
61C2×#4032C2211yescharacteristic
62C2×#4029C2211yescharacteristic, complemented
63C2×#4029C2211yescharacteristic, complemented
64C2×#4027C2211yescharacteristic
65C2×#4027C2211yescharacteristic
66C2×D5×C22⋊C4C2211yescharacteristic
67C2×D5×C22⋊C4C2211yescharacteristic
68C2×#4025C2211yescharacteristic, complemented
69C2×#4024C2211yescharacteristic, complemented
70C2×#4024C2211yescharacteristic, complemented
71C2×#4022C2211yescharacteristic, complemented
72C2×C4×D20C2211yescharacteristic
73C2×C42×D5C2211yescharacteristic
74C2×#4016C2211yescharacteristic, complemented
75C5×#388C2211yescharacteristic, complemented
76C5×#388C2211yescharacteristic, complemented
77C5×#387C2211yescharacteristic, complemented
78C5×#387C2211yescharacteristic, complemented
79C5×#386C2211yescharacteristic
80C5×#386C2211yescharacteristic, complemented
81C5×#386C2211yescharacteristic, complemented
82C5×#386C2211yescharacteristic, complemented
83C5×#385C2211yescharacteristic, complemented
84C5×#385C2211yescharacteristic, complemented
85C5×#380C2211yescharacteristic, complemented
86C2×C5×#95C2211yescharacteristic, complemented
87#65512C2211yescharacteristic
88#65511C2211yescharacteristic, complemented
89#65509C2211yescharacteristic
90#65509C2211yescharacteristic, complemented
91#65509C2211yescharacteristic, complemented
92#65502C2211yescharacteristic
93#65502C2211yescharacteristic
94#65499C2211yescharacteristic, complemented
95#65499C2211yescharacteristic, complemented
96#65499C2211yescharacteristic, complemented
97#65499C2211yescharacteristic, complemented
98C4×C22⋊Dic5C2211yescharacteristic, complemented
99C2×#3963C2211yescharacteristic, complemented
100#65283C2211yescharacteristic, complemented
101#65282C2211yescharacteristic, complemented
102#65281C2211yescharacteristic, complemented
103#65280C2211yescharacteristic
104#65278C2211yescharacteristic
105#65278C2211yescharacteristic
106#65278C2211yescharacteristic
107#65278C2211yescharacteristic, complemented
108#65278C2211yescharacteristic, complemented
109#65273C2211yescharacteristic, complemented
110#65273C2211yescharacteristic, complemented
111#65270C2211yescharacteristic, complemented
112#65261C2211yescharacteristic, complemented
113#65261C2211yescharacteristic, complemented
114#65261C2211yescharacteristic, complemented
115#65250C2211yescharacteristic
116#65250C2211yescharacteristic
117#65250C2211yescharacteristic, complemented
118#65249C2211yescharacteristic
119#65248C2211yescharacteristic
120#65248C2211yescharacteristic, complemented
121#65248C2211yescharacteristic, complemented
122#65245C2211yescharacteristic
123#65245C2211yescharacteristic
124#65245C2211yescharacteristic
125#65245C2211yescharacteristic
126#65245C2211yescharacteristic, complemented
127#65244C2211yescharacteristic
128#65244C2211yescharacteristic
129#65244C2211yescharacteristic
130#65244C2211yescharacteristic
131#65241C2211yescharacteristic, complemented
132#65240C2211yescharacteristic, complemented
133#65239C2211yescharacteristic, complemented
134#65238C2211yescharacteristic, complemented
135#65238C2211yescharacteristic, complemented
136#65237C2211yescharacteristic, complemented
137#65237C2211yescharacteristic, complemented
138#65235C2211yescharacteristic, complemented
139#65235C2211yescharacteristic, complemented
140#65234C2211yescharacteristic, complemented
141#65234C2211yescharacteristic, complemented
142#65234C2211yescharacteristic, complemented
143#65232C2211yescharacteristic, complemented
144#65231C2211yescharacteristic, complemented
145C4×#685C2211yescharacteristic
146C4×#685C2211yescharacteristic, complemented
147#65222C2211yescharacteristic, complemented
148#65222C2211yescharacteristic, complemented
149#64965C2211yescharacteristic, complemented
150#64964C2211yescharacteristic, complemented
151#64964C2211yescharacteristic, complemented
152#64964C2211yescharacteristic, complemented
153#64963C2211yescharacteristic, complemented
154#64962C2211yescharacteristic, complemented
155#64961C2211yescharacteristic
156#64961C2211yescharacteristic
157#64958C2211yescharacteristic, complemented
158#64958C2211yescharacteristic, complemented
159#64957C2211yescharacteristic
160#64957C2211yescharacteristic
161#64957C2211yescharacteristic
162#64957C2211yescharacteristic
163#64957C2211yescharacteristic
164#64957C2211yescharacteristic
165#64957C2211yescharacteristic
166#64957C2211yescharacteristic, complemented
167#64957C2211yescharacteristic, complemented
168#64957C2211yescharacteristic, complemented
169#64957C2211yescharacteristic, complemented
170#64957C2211yescharacteristic, complemented
171#64956C2211yescharacteristic
172#64956C2211yescharacteristic
173#64956C2211yescharacteristic
174#64956C2211yescharacteristic, complemented
175#64953C2211yescharacteristic, complemented
176#64953C2211yescharacteristic, complemented
177#64950C2211yescharacteristic, complemented
178#64949C2211yescharacteristic, complemented
179#64946C2211yescharacteristic, complemented
180#64945C2211yescharacteristic, complemented
181#64944C2211yescharacteristic, complemented
182#64943C2211yescharacteristic, complemented
183#64943C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64941C2211yescharacteristic, complemented
186#64940C2211yescharacteristic, complemented
187#64939C2211yescharacteristic, complemented
188#64936C2211yescharacteristic, complemented
189#34991—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C23×Dic5C2311yescharacteristic
206C23×Dic5C2311yescharacteristic
207C23×Dic5C2311yescharacteristic
208C23×Dic5C2311yescharacteristic
209C2×D4×D5—24no—
210C2×D4×D5—24no—
211C2×D4×D5—24no—
212C22×D20C2311yescharacteristic
213C22×C4×D5—24no—
214C22×C4×D5—24no—
215C22×C4×D5—42no—
216C22×C4×D5—42no—
217C22×C4×D5—42no—
218C22×C4×D5—42no—
219C22×C4×D5C2311yescharacteristic
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C22×C4×D5C2311yescharacteristic
223C22×C4×D5C2311yescharacteristic
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×C4×D5C2311yescharacteristic
227C22×C4×D5C2311yescharacteristic
228C22×Dic10C2311yescharacteristic
229C5×#121—24no—
230C4×C5×D4—24no—
231C4×C5×D4—24no—
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238C2×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C5×C22⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C42×C5C2311yescharacteristic
248C2×C42×C5C2311yescharacteristic
249C2×C22⋊Dic5C2311yescharacteristic
250C2×C22⋊Dic5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261C2×C22⋊Dic5C2311yescharacteristic
262#4085—24no—
263#4083—24no—
264#4083—42no—
265#4081—24no—
266#4081—24no—
267D4×Dic5—24no—
268#4075—24no—
269C4×C22⋊D5—24no—
270C4×C22⋊D5—42no—
271C4×C22⋊D5—42no—
272C4×C22⋊D5D418yescomplemented
273C2×#685—24no—
274C2×#685—42no—
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×#685C2311yescharacteristic
297C2×#685C2311yescharacteristic
298C2×#685C2311yescharacteristic
299C2×#685C2311yescharacteristic
300C2×C4⋊Dic5—42no—
301C2×C4⋊Dic5C2311yescharacteristic
302C2×C4⋊Dic5C2311yescharacteristic
303C2×C4⋊Dic5C2311yescharacteristic
304C2×C4⋊Dic5C2311yescharacteristic
305C2×C4⋊Dic5C2311yescharacteristic
306C2×C4⋊Dic5C2311yescharacteristic
307C2×C4⋊Dic5C2311yescharacteristic
308C2×C4⋊Dic5C2311yescharacteristic
309#4070—24no—
310C2×#683—24no—
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
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×#683C2311yescharacteristic
331C2×#683C2311yescharacteristic
332C2×C4×Dic5C2311yescharacteristic
333C2×C4×Dic5C2311yescharacteristic
334C2×C4×Dic5C2311yescharacteristic
335C2×C4×Dic5C2311yescharacteristic
336C2×C4×Dic5C2311yescharacteristic
337#4042—24no—
338#4042—42no—
339#4039—24no—
340D5×C4⋊C4—24no—
341#4035—24no—
342#4032—24no—
343#4029—24no—
344#4029—42no—
345#4027—24no—
346#4027—24no—
347D5×C22⋊C4—24no—
348D5×C22⋊C4—24no—
349#4025—24no—
350#4024—24no—
351#4024—42no—
352#4022—24no—
353C4×D20—24no—
354C42×D5—24no—
355#4016—24no—
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364C5×#95C2311yescharacteristic
365C5×#95C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392C2×#539—51no—
393C22×C4×D4—51no—
394#2852—51no—
395#2851—51no—
396#2849—51no—
397#2848—51no—
398#2638—51no—
399#2636—51no—
400#2633—51no—
401#2630—51no—
402#2480—51no—
403#2473—51no—
404#2466—51no—
405#2463—51no—
406#2460—51no—
407#2455—51no—
408#2449—51no—
409#2449—51no—
410#2443—51no—
411#2437—51no—
412#2425—51no—
413#2419—51no—
414#2418—51no—
415#2412—51no—
416#2410—51no—
417#2405—51no—
418#2325D511yescharacteristic, complemented
419#2322—51no—
420#2318—51no—
421C4×#120—51no—
422C2×#385—51no—
423C24×C5C2411yescharacteristic
424C24×C5C2411yescharacteristic
425C24×C5C2411yescharacteristic
426C23×D5—22no—
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—22no—
430C23×D5—22no—
431C23×D5—22no—
432C23×D5—22no—
433C23×D5—22no—
434C23×D5—22no—
435C23×D5—41no—
436C23×D5—41no—
437C23×D5—41no—
438C23×D5—41no—
439C23×D5#4114yes—
440C23×D5C2411yescharacteristic
441C23×D5C2411yescharacteristic
442C23×D5C2411yescharacteristic
443C2×C5×D4—22no—
444C2×C5×D4—22no—
445C2×C5×D4—22no—
446C2×C5×D4—22no—
447C2×C5×D4—22no—
448C2×C5×D4—22no—
449C2×C5×D4—41no—
450C2×C5×D4—41no—
451C2×C5×D4#4114yes—
452C22×C4×C5—22no—
453C22×C4×C5—22no—
454C22×C4×C5—22no—
455C22×C4×C5—22no—
456C22×C4×C5—41no—
457C22×C4×C5—41no—
458C22×C4×C5—41no—
459C22×C4×C5—41no—
460C22×C4×C5—41no—
461C22×C4×C5—41no—
462C22×C4×C5—41no—
463C22×C4×C5—41no—
464C22×C4×C5—41no—
465C22×C4×C5—41no—
466C22×C4×C5C2×D414yes—
467C22×C4×C5C2411yescharacteristic
468C22×C4×C5C2411yescharacteristic
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
479C2×C22⋊D5—22no—
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—41no—
490C2×C22⋊D5—41no—
491C2×C22⋊D5—41no—
492C2×C22⋊D5—41no—
493C2×C22⋊D5C2×D414yes—
494C22×Dic5—22no—
495C22×Dic5—22no—
496C22×Dic5—22no—
497C22×Dic5—22no—
498C22×Dic5—22no—
499C22×Dic5—22no—
500C22×Dic5—22no—
501C22×Dic5—22no—
502C22×Dic5—41no—
503C22×Dic5—41no—
504C22×Dic5—41no—
505C22×Dic5—41no—
506C22×Dic5C2411yescharacteristic
507C22×Dic5C2411yescharacteristic
508C22×Dic5C2411yescharacteristic
509C22×Dic5C2411yescharacteristic
510C22×Dic5C2411yescharacteristic
511C22×Dic5C2411yescharacteristic
512C22×Dic5C2411yescharacteristic
513C22×Dic5C2411yescharacteristic
514C22×Dic5C2411yescharacteristic
515C22×Dic5C2411yescharacteristic
516C22×Dic5C2411yescharacteristic
517C22×Dic5C2411yescharacteristic
518C22×Dic5C2411yescharacteristic
519D4×D5—232no—
520C2×D20—22no—
521C2×D20—22no—
522C2×D20—22no—
523C2×C4×D5—22no—
524C2×C4×D5—22no—
525C2×C4×D5—22no—
526C2×C4×D5—22no—
527C2×C4×D5—22no—
528C2×C4×D5—22no—
529C2×C4×D5—22no—
530C2×C4×D5—22no—
531C2×C4×D5—22no—
532C2×C4×D5—22no—
533C2×C4×D5—22no—
534C2×C4×D5—22no—
535C2×C4×D5—22no—
536C2×C4×D5—22no—
537C2×C4×D5—22no—
538C2×C4×D5—22no—
539C2×C4×D5—22no—
540C2×C4×D5—416no—
541C2×C4×D5—416no—
542C2×C4×D5—41no—
543C2×C4×D5—41no—
544C2×C4×D5—41no—
545C2×C4×D5—41no—
546C2×C4×D5—41no—
547C2×C4×D5—41no—
548C2×C4×D5—41no—
549C2×C4×D5—41no—
550C2×C4×D5—41no—
551C2×C4×D5C2×D414yes—
552C2×Dic10—22no—
553C2×Dic10—41no—
554C2×Dic10—41no—
555C5×C4⋊C4—22no—
556C5×C4⋊C4—22no—
557C5×C4⋊C4—22no—
558C5×C4⋊C4—41no—
559C5×C4⋊C4—41no—
560C5×C22⋊C4—22no—
561C5×C22⋊C4—22no—
562C5×C22⋊C4—22no—
563C5×C22⋊C4—22no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C5×C22⋊C4—41no—
567C5×C22⋊C4—41no—
568C5×C22⋊C4—41no—
569C5×C22⋊C4—41no—
570C42×C5—22no—
571C42×C5—22no—
572C22⋊Dic5—22no—
573C22⋊Dic5—22no—
574C22⋊Dic5—22no—
575C22⋊Dic5—22no—
576C22⋊Dic5—22no—
577C22⋊Dic5—22no—
578C22⋊Dic5—22no—
579C22⋊Dic5—22no—
580C22⋊Dic5—22no—
581C22⋊Dic5—41no—
582C22⋊Dic5—41no—
583C22⋊Dic5—41no—
584C22⋊Dic5C2×D414yes—
585#685—22no—
586#685—22no—
587#685—22no—
588#685—22no—
589#685—22no—
590#685—22no—
591#685—22no—
592#685—22no—
593#685—22no—
594#685—22no—
595#685—22no—
596#685—22no—
597#685—22no—
598#685—22no—
599#685—22no—
600#685—22no—
601#685—41no—
602#685—41no—
603#685—41no—
604#685—41no—
605#685—41no—
606#685—41no—
607#685—41no—
608#685—41no—
609#685C2×D414yes—
610C4⋊Dic5—22no—
611C4⋊Dic5—22no—
612C4⋊Dic5—22no—
613C4⋊Dic5—22no—
614C4⋊Dic5—22no—
615C4⋊Dic5—22no—
616C4⋊Dic5—41no—
617C4⋊Dic5—41no—
618#683—22no—
619#683—22no—
620#683—22no—
621#683—22no—
622#683—22no—
623#683—22no—
624#683—22no—
625#683—22no—
626#683—22no—
627#683—22no—
628#683—22no—
629#683—22no—
630#683—22no—
631#683—41no—
632#683—41no—
633#683—41no—
634#683—41no—
635#683—41no—
636#683—41no—
637#683—41no—
638#683C2×D414yes—
639C4×Dic5—22no—
640C4×Dic5—22no—
641C4×Dic5—41no—
642C4×Dic5—41no—
643C4×Dic5C2×D414yes—
644C23×D4—51no—
645C24×C4—51no—
646C24×C4—51no—
647#539—108no—
648C2×#126—51no—
649C2×#126—51no—
650C2×#125—51no—
651C2×#125—51no—
652C2×#123—51no—
653C2×#123—51no—
654C2×#123—51no—
655C2×#123—51no—
656C2×#123—51no—
657C2×#123—51no—
658C2×C22⋊Q8—51no—
659C2×C22⋊Q8—51no—
660C2×C22⋊Q8—51no—
661C2×C22⋊Q8—51no—
662C2×C22⋊Q8—51no—
663C2×#121—51no—
664C2×#121C2×D511yescharacteristic
665C2×#120—51no—
666C2×#120—51no—
667C2×C4×D4—51no—
668C2×C4×D4—51no—
669C2×C4×D4—51no—
670C2×C4×D4—51no—
671C2×C4×D4—51no—
672C2×C4×D4—51no—
673C2×C4×D4—51no—
674C2×C4×D4—51no—
675C2×C4×D4—51no—
676C2×C4×D4—108no—
677C2×C4×D4C2×D511yescharacteristic
678C2×C4×D4C2×D511yescharacteristic, complemented
679C22×C4⋊C4—51no—
680C22×C4⋊C4—51no—
681C22×C4⋊C4—51no—
682C22×C22⋊C4—51no—
683C22×C22⋊C4—51no—
684C22×C22⋊C4—51no—
685C22×C22⋊C4—51no—
686C22×C42—51no—
687#400—51no—
688#399—51no—
689#399—51no—
690#399—51no—
691#398—51no—
692#398—51no—
693#398—51no—
694#398—51no—
695#397—51no—
696#397—51no—
697#397—51no—
698#397—51no—
699#397—51no—
700#397—51no—
701#396—51no—
702#396—51no—
703#396—51no—
704#396—51no—
705#395—51no—
706#394—51no—
707#394—51no—
708#394—51no—
709#394—51no—
710#394—51no—
711#394—51no—
712#394—51no—
713#394—51no—
714#394—51no—
715#394—51no—
716#393—51no—
717#392—51no—
718#392—51no—
719#389—51no—
720#389—51no—
721#389—51no—
722#389—51no—
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388C2×D511yescharacteristic, complemented
730#388C2×D511yescharacteristic, complemented
731#387—51no—
732#387—51no—
733#387—51no—
734#387—51no—
735#387—51no—
736#387—51no—
737#387—51no—
738#387—51no—
739#387C2×D511yescharacteristic, complemented
740#387C2×D511yescharacteristic, complemented
741#386—51no—
742#386—51no—
743#386—51no—
744#386—51no—
745#386—51no—
746#386—51no—
747#386—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386C2×D511yescharacteristic
752#386C2×D511yescharacteristic, complemented
753#386C2×D511yescharacteristic, complemented
754#386C2×D511yescharacteristic, complemented
755#385—51no—
756#385—51no—
757#385—51no—
758#385—51no—
759#385—51no—
760#385—51no—
761#385—51no—
762#385—51no—
763#385—51no—
764#385—51no—
765#385—51no—
766#385—51no—
767#385—51no—
768#385—51no—
769#385—51no—
770#385—51no—
771#385—51no—
772#385—51no—
773#385—51no—
774#385—51no—
775#385—51no—
776#385—51no—
777#385—51no—
778#385—51no—
779#385C2×D511yescharacteristic, complemented
780#385C2×D511yescharacteristic, complemented
781#383—51no—
782#382—51no—
783#381—51no—
784#381—51no—
785#381—51no—
786#380—51no—
787#380—51no—
788#380—51no—
789#380—51no—
790#380—51no—
791#380C2×D511yescharacteristic, complemented
792#379—51no—
793#379—51no—
794#379—51no—
795#379—51no—
796C4×C22⋊C4—51no—
797C4×C22⋊C4—51no—
798C4×C22⋊C4—51no—
799C2×#95—51no—
800C2×#95C2×D511yescharacteristic, complemented
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—21no—
810C23×C5—21no—
811C23×C5—21no—
812C23×C5—21no—
813C23×C5—21no—
814C23×C5—21no—
815C23×C5—21no—
816C23×C5—21no—
817C23×C5—21no—
818C23×C5C22×D412yes—
819C23×C5C2×#4112yes—
820C23×C5C2×#4112yes—
821C23×C5C2×#4112yes—
822C23×C5C2511yescharacteristic
823C22×D5—21no—
824C22×D5—21no—
825C22×D5—21no—
826C22×D5—21no—
827C22×D5—28no—
828C22×D5—28no—
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—21no—
834C22×D5—21no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—21no—
841C22×D5—28no—
842C22×D5—44no—
843C22×D5—44no—
844C22×D5—44no—
845C22×D5—44no—
846C22×D5—44no—
847C22×D5—44no—
848C22×D5—44no—
849C22×D5—44no—
850C22×D5—44no—
851C22×D5—44no—
852C22×D5—44no—
853C22×D5C22×D412yes—
854C22×D5C2×#4112yes—
855C22×D5C2×#4112yes—
856C22×D5H(5,𝔽2)12yes—
857C22×D52−1+412yes—
858C5×D4—28no—
859C5×D4—44no—
860C5×D4—82no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—21no—
868C2×C4×C5—21no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—21no—
872C2×C4×C5—21no—
873C2×C4×C5—21no—
874C2×C4×C5—21no—
875C2×C4×C5—21no—
876C2×C4×C5—21no—
877C2×C4×C5—21no—
878C2×C4×C5—21no—
879C2×C4×C5—21no—
880C2×C4×C5—21no—
881C2×C4×C5—21no—
882C2×C4×C5—21no—
883C2×C4×C5—21no—
884C2×C4×C5—21no—
885C2×C4×C5—21no—
886C2×C4×C5—21no—
887C2×C4×C5—21no—
888C2×C4×C5—21no—
889C2×C4×C5—21no—
890C2×C4×C5—21no—
891C2×C4×C5—21no—
892C2×C4×C5—21no—
893C2×C4×C5—21no—
894C2×C4×C5—44no—
895C2×C4×C5—44no—
896C2×C4×C5—44no—
897C2×C4×C5—82no—
898C2×C4×C5—82no—
899C2×C4×C5C22×D412yes—
900C2×C4×C5C22×D412yes—
901C2×C4×C5C2×#4112yes—
902C22⋊D5—28no—
903C22⋊D5—28no—
904C22⋊D5—44no—
905C22⋊D5—44no—
906C22⋊D5—82no—
907C2×Dic5—21no—
908C2×Dic5—21no—
909C2×Dic5—21no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—21no—
915C2×Dic5—21no—
916C2×Dic5—21no—
917C2×Dic5—21no—
918C2×Dic5—21no—
919C2×Dic5—21no—
920C2×Dic5—21no—
921C2×Dic5—21no—
922C2×Dic5—21no—
923C2×Dic5—21no—
924C2×Dic5—21no—
925C2×Dic5—21no—
926C2×Dic5—21no—
927C2×Dic5—21no—
928C2×Dic5—21no—
929C2×Dic5—21no—
930C2×Dic5—21no—
931C2×Dic5—21no—
932C2×Dic5—21no—
933C2×Dic5—21no—
934C2×Dic5—21no—
935C2×Dic5—21no—
936C2×Dic5—21no—
937C2×Dic5—21no—
938C2×Dic5—21no—
939C2×Dic5—21no—
940C2×Dic5—21no—
941C2×Dic5—21no—
942C2×Dic5—44no—
943C2×Dic5—44no—
944C2×Dic5—44no—
945C2×Dic5—82no—
946C2×Dic5C22×D412yes—
947C2×Dic5C22×D412yes—
948C2×Dic5C22×D412yes—
949C2×Dic5H(5,𝔽2)12yes—
950D20—28no—
951C4×D5—28no—
952C4×D5—28no—
953C4×D5—44no—
954C4×D5—44no—
955C4×D5—44no—
956C4×D5—44no—
957C4×D5—44no—
958C4×D5—44no—
959C4×D5—44no—
960Dic10—82no—
961C25—51no—
962C25—51no—
963C22×Q8—51no—
964C22×D4—51no—
965C22×D4—51no—
966C22×D4—51no—
967C22×D4—51no—
968C22×D4—51no—
969C22×D4—51no—
970C22×D4—104no—
971C22×D4—104no—
972C22×D4—104no—
973C22×D4C22×D511yescharacteristic
974C22×D4C22×D511yescharacteristic
975C22×D4C22×D511yescharacteristic
976C23×C4—51no—
977C23×C4—51no—
978C23×C4—51no—
979C23×C4—51no—
980C23×C4—51no—
981C23×C4—51no—
982C23×C4—51no—
983C23×C4—51no—
984C23×C4—51no—
985C23×C4—51no—
986C23×C4—51no—
987C23×C4—51no—
988C23×C4—51no—
989C23×C4—104no—
990C23×C4—104no—
991C23×C4—202no—
992C23×C4—202no—
993C23×C4—202no—
994C23×C4—202no—
995C23×C4C22×D511yescharacteristic
996C23×C4C22×D511yescharacteristic
997C23×C4C22×D511yescharacteristic
998C23×C4C22×D511yescharacteristic
999C23×C4C22×D511yescharacteristic
1000#126—104no—
1001#126—104no—
1002#125—104no—
1003#125—104no—
1004#123—104no—
1005#123—104no—
1006#123—104no—
1007#123—104no—
1008#123—104no—
1009#123—202no—
1010C22⋊Q8—104no—
1011C22⋊Q8—104no—
1012C22⋊Q8—104no—
1013C22⋊Q8—202no—
1014C22⋊Q8—202no—
1015#121—24no—
1016#121—104no—
1017#120—104no—
1018#120—202no—
1019C4×D4—24no—
1020C4×D4—24no—
1021C4×D4—58no—
1022C4×D4—104no—
1023C4×D4—104no—
1024C4×D4—104no—
1025C4×D4—104no—
1026C4×D4—104no—
1027C4×D4—104no—
1028C4×D4—202no—
1029C4×D4—202no—
1030C2×C4⋊C4—51no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—51no—
1033C2×C4⋊C4—51no—
1034C2×C4⋊C4—51no—
1035C2×C4⋊C4—51no—
1036C2×C4⋊C4—51no—
1037C2×C4⋊C4—51no—
1038C2×C4⋊C4—51no—
1039C2×C4⋊C4—51no—
1040C2×C4⋊C4—51no—
1041C2×C4⋊C4—51no—
1042C2×C4⋊C4—51no—
1043C2×C4⋊C4—51no—
1044C2×C4⋊C4—51no—
1045C2×C4⋊C4—51no—
1046C2×C4⋊C4—51no—
1047C2×C4⋊C4—51no—
1048C2×C4⋊C4—51no—
1049C2×C4⋊C4—51no—
1050C2×C4⋊C4—51no—
1051C2×C4⋊C4—51no—
1052C2×C4⋊C4—51no—
1053C2×C4⋊C4—51no—
1054C2×C4⋊C4—51no—
1055C2×C4⋊C4—51no—
1056C2×C4⋊C4—51no—
1057C2×C4⋊C4—51no—
1058C2×C4⋊C4—51no—
1059C2×C4⋊C4—104no—
1060C2×C4⋊C4—104no—
1061C2×C4⋊C4—202no—
1062C2×C4⋊C4C22×D511yescharacteristic
1063C2×C4⋊C4C22×D511yescharacteristic
1064C2×C4⋊C4C22×D511yescharacteristic
1065C2×C4⋊C4C22×D511yescharacteristic
1066C2×C4⋊C4C22×D511yescharacteristic
1067C2×C22⋊C4—51no—
1068C2×C22⋊C4—51no—
1069C2×C22⋊C4—51no—
1070C2×C22⋊C4—51no—
1071C2×C22⋊C4—51no—
1072C2×C22⋊C4—51no—
1073C2×C22⋊C4—51no—
1074C2×C22⋊C4—51no—
1075C2×C22⋊C4—51no—
1076C2×C22⋊C4—51no—
1077C2×C22⋊C4—51no—
1078C2×C22⋊C4—51no—
1079C2×C22⋊C4—51no—
1080C2×C22⋊C4—51no—
1081C2×C22⋊C4—51no—
1082C2×C22⋊C4—51no—
1083C2×C22⋊C4—51no—
1084C2×C22⋊C4—51no—
1085C2×C22⋊C4—51no—
1086C2×C22⋊C4—51no—
1087C2×C22⋊C4—51no—
1088C2×C22⋊C4—51no—
1089C2×C22⋊C4—51no—
1090C2×C22⋊C4—51no—
1091C2×C22⋊C4—51no—
1092C2×C22⋊C4—51no—
1093C2×C22⋊C4—51no—
1094C2×C22⋊C4—51no—
1095C2×C22⋊C4—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—104no—
1106C2×C22⋊C4—104no—
1107C2×C22⋊C4—104no—
1108C2×C22⋊C4—202no—
1109C2×C22⋊C4C22×D511yescharacteristic
1110C2×C22⋊C4C22×D511yescharacteristic
1111C2×C22⋊C4C22×D511yescharacteristic
1112C2×C22⋊C4C22×D511yescharacteristic
1113C2×C22⋊C4C22×D511yescharacteristic
1114C2×C22⋊C4C22×D511yescharacteristic
1115C2×C22⋊C4C22×D511yescharacteristic
1116C2×C22⋊C4C22×D511yescharacteristic
1117C2×C22⋊C4C22×D511yescharacteristic
1118C2×C22⋊C4C22×D511yescharacteristic
1119C2×C42—51no—
1120C2×C42—51no—
1121C2×C42—51no—
1122C2×C42—51no—
1123C2×C42—51no—
1124C2×C42—104no—
1125C2×C42C22×D511yescharacteristic
1126C2×C42C22×D511yescharacteristic
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130#95—51no—
1131#95—51no—
1132#95—51no—
1133#95—51no—
1134#95—51no—
1135#95—51no—
1136#95—51no—
1137#95—51no—
1138#95—51no—
1139#95—51no—
1140#95—51no—
1141#95—51no—
1142#95—51no—
1143#95—51no—
1144#95—51no—
1145#95—51no—
1146#95—51no—
1147#95—51no—
1148#95—51no—
1149#95—51no—
1150#95—51no—
1151#95—51no—
1152#95—51no—
1153#95C22×D511yescharacteristic
1154#95C22×D511yescharacteristic
1155#95C22×D511yescharacteristic
1156#95C22×D511yescharacteristic
1157#95C22×D511yescharacteristic
1158#95C22×D511yescharacteristic
1159#95C22×D511yescharacteristic
1160#95C22×D511yescharacteristic
1161#95C22×D511yescharacteristic
1162#95C22×D511yescharacteristic
1163C22×C5—22no—
1164C22×C5—22no—
1165C22×C5—22no—
1166C22×C5—22no—
1167C22×C5—22no—
1168C22×C5—22no—
1169C22×C5—22no—
1170C22×C5—22no—
1171C22×C5—22no—
1172C22×C5—41no—
1173C22×C5—41no—
1174C22×C5—41no—
1175C22×C5—41no—
1176C22×C5—41no—
1177C22×C5—41no—
1178C22×C5—41no—
1179C22×C5—41no—
1180C22×C5—41no—
1181C22×C5—41no—
1182C22×C5—41no—
1183C22×C5#52514yes—
1184C22×C5C23×D411yescharacteristic
1185C22×C5C22×#4111yescharacteristic
1186C22×C5C22×#4111yescharacteristic
1187C22×C5C2×H(5,𝔽2)11yescharacteristic
1188C22×C5C2×H(5,𝔽2)11yescharacteristic
1189C22×C5C2×2−1+411yescharacteristic
1190C22×C5#58511yescharacteristic
1191C2×D5—22no—
1192C2×D5—22no—
1193C2×D5—22no—
1194C2×D5—22no—
1195C2×D5—22no—
1196C2×D5—22no—
1197C2×D5—22no—
1198C2×D5—22no—
1199C2×D5—22no—
1200C2×D5—22no—
1201C2×D5—22no—
1202C2×D5—22no—
1203C2×D5—416no—
1204C2×D5—416no—
1205C2×D5—41no—
1206C2×D5—41no—
1207C2×D5—41no—
1208C2×D5—41no—
1209C2×D5—41no—
1210C2×D5—41no—
1211C2×D5—41no—
1212C2×D5—41no—
1213C2×D5#53914yescomplemented
1214C4×C5—22no—
1215C4×C5—22no—
1216C4×C5—22no—
1217C4×C5—41no—
1218C4×C5—41no—
1219C4×C5—41no—
1220C4×C5—41no—
1221C4×C5—41no—
1222C4×C5—41no—
1223C4×C5—41no—
1224C4×C5—41no—
1225C4×C5—41no—
1226Dic5—22no—
1227Dic5—22no—
1228Dic5—22no—
1229Dic5—22no—
1230Dic5—41no—
1231Dic5—41no—
1232Dic5—41no—
1233Dic5—41no—
1234Dic5—41no—
1235Dic5—41no—
1236Dic5—41no—
1237Dic5—41no—
1238Dic5—41no—
1239C24—51no—
1240C24—51no—
1241C24—51no—
1242C24—54no—
1243C24—102no—
1244C24—102no—
1245C24—102no—
1246C24—102no—
1247C24—102no—
1248C24—102no—
1249C24—102no—
1250C24—102no—
1251C24—102no—
1252C24—201no—
1253C24—201no—
1254C24—201no—
1255C24—201no—
1256C24C23×D511yescharacteristic
1257C24C23×D511yescharacteristic
1258C24C23×D511yescharacteristic
1259C2×Q8—102no—
1260C2×Q8—201no—
1261C2×Q8—201no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—54no—
1271C2×D4—102no—
1272C2×D4—102no—
1273C2×D4—102no—
1274C2×D4—1032no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—102no—
1278C2×D4—102no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—102no—
1282C2×D4—102no—
1283C2×D4—102no—
1284C2×D4—102no—
1285C2×D4—201no—
1286C2×D4—201no—
1287C2×D4—201no—
1288C2×D4—201no—
1289C2×D4#70914yes—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—51no—
1305C22×C4—51no—
1306C22×C4—51no—
1307C22×C4—51no—
1308C22×C4—54no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—51no—
1312C22×C4—51no—
1313C22×C4—51no—
1314C22×C4—51no—
1315C22×C4—51no—
1316C22×C4—51no—
1317C22×C4—51no—
1318C22×C4—102no—
1319C22×C4—102no—
1320C22×C4—102no—
1321C22×C4—102no—
1322C22×C4—102no—
1323C22×C4—102no—
1324C22×C4—102no—
1325C22×C4—102no—
1326C22×C4—102no—
1327C22×C4—102no—
1328C22×C4—102no—
1329C22×C4—102no—
1330C22×C4—102no—
1331C22×C4—102no—
1332C22×C4—102no—
1333C22×C4—102no—
1334C22×C4—102no—
1335C22×C4—102no—
1336C22×C4—102no—
1337C22×C4—102no—
1338C22×C4—102no—
1339C22×C4—102no—
1340C22×C4—102no—
1341C22×C4—102no—
1342C22×C4—102no—
1343C22×C4—201no—
1344C22×C4—201no—
1345C22×C4—201no—
1346C22×C4—201no—
1347C22×C4—201no—
1348C22×C4—201no—
1349C22×C4—201no—
1350C22×C4—201no—
1351C22×C4—201no—
1352C22×C4—2016no—
1353C22×C4—2016no—
1354C22×C4—201no—
1355C22×C4—201no—
1356C22×C4—201no—
1357C22×C4—201no—
1358C22×C4D4×D514yes—
1359C22×C4C23×D511yescharacteristic
1360C22×C4C23×D511yescharacteristic
1361C22×C4C23×D511yescharacteristic
1362C22×C4C23×D511yescharacteristic
1363C22×C4C23×D511yescharacteristic
1364C22×C4C23×D511yescharacteristic
1365C22×C4C23×D511yescharacteristic
1366C22×C4C23×D511yescharacteristic
1367C22×C4C23×D511yescharacteristic
1368C22×C4C23×D511yescharacteristic
1369C22×C4C23×D511yescharacteristic
1370C22×C4C23×D511yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—41no—
1375C4⋊C4—41no—
1376C4⋊C4—54no—
1377C4⋊C4—102no—
1378C4⋊C4—102no—
1379C4⋊C4—102no—
1380C4⋊C4—102no—
1381C4⋊C4—102no—
1382C4⋊C4—102no—
1383C4⋊C4—102no—
1384C4⋊C4—102no—
1385C4⋊C4—102no—
1386C4⋊C4—102no—
1387C4⋊C4—102no—
1388C4⋊C4—102no—
1389C4⋊C4—102no—
1390C4⋊C4—102no—
1391C4⋊C4—102no—
1392C4⋊C4—102no—
1393C4⋊C4—102no—
1394C4⋊C4—102no—
1395C4⋊C4—102no—
1396C4⋊C4—201no—
1397C4⋊C4—201no—
1398C4⋊C4—201no—
1399C4⋊C4—201no—
1400C4⋊C4—201no—
1401C4⋊C4—201no—
1402C4⋊C4—201no—
1403C4⋊C4—201no—
1404C4⋊C4—201no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—54no—
1416C22⋊C4—54no—
1417C22⋊C4—102no—
1418C22⋊C4—102no—
1419C22⋊C4—102no—
1420C22⋊C4—102no—
1421C22⋊C4—102no—
1422C22⋊C4—102no—
1423C22⋊C4—102no—
1424C22⋊C4—102no—
1425C22⋊C4—102no—
1426C22⋊C4—102no—
1427C22⋊C4—102no—
1428C22⋊C4—102no—
1429C22⋊C4—102no—
1430C22⋊C4—102no—
1431C22⋊C4—102no—
1432C22⋊C4—102no—
1433C22⋊C4—102no—
1434C22⋊C4—102no—
1435C22⋊C4—102no—
1436C22⋊C4—102no—
1437C22⋊C4—102no—
1438C22⋊C4—102no—
1439C22⋊C4—102no—
1440C22⋊C4—102no—
1441C22⋊C4—102no—
1442C22⋊C4—201no—
1443C22⋊C4—201no—
1444C22⋊C4—201no—
1445C22⋊C4—201no—
1446C22⋊C4—201no—
1447C22⋊C4—201no—
1448C22⋊C4—201no—
1449C22⋊C4—201no—
1450C22⋊C4—201no—
1451C22⋊C4—201no—
1452C22⋊C4—201no—
1453C42—22no—
1454C42—22no—
1455C42—54no—
1456C42—102no—
1457C42—102no—
1458C42—201no—
1459C42—201no—
1460C2×C5—24no—
1461C2×C5—42no—
1462C2×C5—81no—
1463C2×C5C2×#52511yescharacteristic
1464C2×C5C2×#53911yescharacteristic
1465C2×C5#345911yescharacteristic
1466C2×C5#348411yescharacteristic
1467C2×C5#348911yescharacteristic
1468C2×C5#351311yescharacteristic
1469C2×C5#352011yescharacteristic
1470D5—24no—
1471D5—42no—
1472D5—42no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—52no—
1491C23—52no—
1492C23—52no—
1493C23—52no—
1494C23—52no—
1495C23—108no—
1496C23—108no—
1497C23—101no—
1498C23—101no—
1499C23—101no—
1500C23—101no—
1501C23—108no—
1502C23—101no—
1503C23—101no—
1504C23—101no—
1505C23—101no—
1506C23—101no—
1507C23—101no—
1508C23—101no—
1509C23—101no—
1510C23—101no—
1511C23—101no—
1512C23—101no—
1513C23—101no—
1514C23—204no—
1515C23—204no—
1516C23—204no—
1517C23—204no—
1518C23—204no—
1519C23—204no—
1520C23—204no—
1521C23—204no—
1522C23—204no—
1523C23—204no—
1524C23—204no—
1525C23C2×#70912yes—
1526C23C2×#70912yes—
1527C23C2×D4×D512yes—
1528C23D5×#4112yes—
1529C23C24×D511yescharacteristic
1530Q8—402no—
1531D4—28no—
1532D4—44no—
1533D4—82no—
1534D4—108no—
1535D4—108no—
1536D4—108no—
1537D4—204no—
1538D4—204no—
1539D4—402no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—52no—
1577C2×C4—52no—
1578C2×C4—52no—
1579C2×C4—52no—
1580C2×C4—82no—
1581C2×C4—82no—
1582C2×C4—108no—
1583C2×C4—108no—
1584C2×C4—101no—
1585C2×C4—101no—
1586C2×C4—101no—
1587C2×C4—101no—
1588C2×C4—101no—
1589C2×C4—101no—
1590C2×C4—101no—
1591C2×C4—101no—
1592C2×C4—101no—
1593C2×C4—101no—
1594C2×C4—101no—
1595C2×C4—101no—
1596C2×C4—101no—
1597C2×C4—101no—
1598C2×C4—101no—
1599C2×C4—101no—
1600C2×C4—101no—
1601C2×C4—101no—
1602C2×C4—101no—
1603C2×C4—101no—
1604C2×C4—101no—
1605C2×C4—101no—
1606C2×C4—101no—
1607C2×C4—101no—
1608C2×C4—101no—
1609C2×C4—101no—
1610C2×C4—101no—
1611C2×C4—101no—
1612C2×C4—101no—
1613C2×C4—101no—
1614C2×C4—101no—
1615C2×C4—101no—
1616C2×C4—101no—
1617C2×C4—101no—
1618C2×C4—101no—
1619C2×C4—204no—
1620C2×C4—204no—
1621C2×C4—204no—
1622C2×C4—204no—
1623C2×C4—204no—
1624C2×C4—204no—
1625C2×C4—204no—
1626C2×C4—204no—
1627C2×C4—204no—
1628C2×C4—204no—
1629C2×C4—402no—
1630C2×C4C2×#70912yes—
1631C2×C4C2×D4×D512yes—
1632C2×C4C2×D4×D512yes—
1633C5#3499111yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—54no—
1655C22—102no—
1656C22—102no—
1657C22—102no—
1658C22—102no—
1659C22—102no—
1660C22—102no—
1661C22—102no—
1662C22—102no—
1663C22—102no—
1664C22—102no—
1665C22—102no—
1666C22—102no—
1667C22—2016no—
1668C22—2016no—
1669C22—201no—
1670C22—201no—
1671C22—201no—
1672C22—201no—
1673C22—201no—
1674C22—201no—
1675C22—201no—
1676C22—201no—
1677C22#6588114yes—
1678C22C22×#70911yescharacteristic
1679C22C22×D4×D511yescharacteristic
1680C22C2×D5×#4111yescharacteristic
1681C22D5×H(5,𝔽2)11yescharacteristic
1682C22D5×H(5,𝔽2)11yescharacteristic
1683C22#6628511yescharacteristic
1684C22D5×2−1+411yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—102no—
1698C4—102no—
1699C4—102no—
1700C4—102no—
1701C4—201no—
1702C4—201no—
1703C4—201no—
1704C4—201no—
1705C4—201no—
1706C4—201no—
1707C4—201no—
1708C4—201no—
1709C4—201no—
1710C2—24no—
1711C2—42no—
1712C2—81no—
1713C2—104no—
1714C2—202no—
1715C2—202no—
1716C2C2×#6588111yescharacteristic
1717C2#1061777111yescharacteristic
1718C2#1061780811yescharacteristic
1719C2#1061820911yescharacteristic
1720C2#1061828111yescharacteristic
1721C2#1061828911yescharacteristic
1722C2D5×#53911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2325C2
prime radical#10614433C2
hypercenter#2325D5
hypocenterC5#34991
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2325

Complements

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

NH ≅ G/Ntype
1. C2×C4×D4×D5C2semidirect
2. C2×#65898C2semidirect
3. C5×#2325C2semidirect
5. #10614376C2semidirect
6. C4×#4083C2semidirect
7. #10614057C2semidirect
8. #10607689C2semidirect
9. #10607632C2semidirect
10. #10607586C2semidirect
11. #10607270C2semidirect
12. #10607176C2semidirect
13. #10607110C2semidirect
14. #10607061C2semidirect
15. #10606739C2semidirect
16. #10606667C2semidirect
17. #10606631C2semidirect
18. #10606623C2semidirect
19. #10606515C2semidirect
20. #10606441C2semidirect
21. #10606435C2semidirect
22. #10606421C2semidirect
23. #10606417C2semidirect
24. #10606386C2semidirect
25. #10606342C2semidirect
26. #10606340C2semidirect
27. #10606234C2semidirect
28. #10605627C2semidirect
29. #10605621C2semidirect
30. #10605098C2semidirect
31. C2×#64957C2semidirect
37. C2×C4×C5×D4C22semidirect
42. C2×#4081C22semidirect
44. C2×#4075C22semidirect
48. C2×C4×C22⋊D5C22semidirect
51. C22×C4⋊Dic5C22semidirect
52. C2×#4070C22semidirect
53. C22×#683C22semidirect
57. C2×#4042C22semidirect
60. C2×#4035C22semidirect
62. C2×#4029C22semidirect
63. C2×#4029C22semidirect
68. C2×#4025C22semidirect
69. C2×#4024C22semidirect
70. C2×#4024C22semidirect
71. C2×#4022C22semidirect
74. C2×#4016C22semidirect
75. C5×#388C22semidirect
76. C5×#388C22semidirect
77. C5×#387C22semidirect
78. C5×#387C22semidirect
80. C5×#386C22semidirect
81. C5×#386C22semidirect
82. C5×#386C22semidirect
83. C5×#385C22semidirect
84. C5×#385C22semidirect
85. C5×#380C22semidirect
86. C2×C5×#95C22semidirect
88. #65511C22semidirect
90. #65509C22semidirect
91. #65509C22semidirect
94. #65499C22semidirect
95. #65499C22semidirect
96. #65499C22semidirect
97. #65499C22semidirect
98. C4×C22⋊Dic5C22semidirect
99. C2×#3963C22semidirect
100. #65283C22semidirect
101. #65282C22semidirect
102. #65281C22semidirect
107. #65278C22semidirect
108. #65278C22semidirect
109. #65273C22semidirect
110. #65273C22semidirect
111. #65270C22semidirect
112. #65261C22semidirect
113. #65261C22semidirect
114. #65261C22semidirect
117. #65250C22semidirect
120. #65248C22semidirect
121. #65248C22semidirect
126. #65245C22semidirect
131. #65241C22semidirect
132. #65240C22semidirect
133. #65239C22semidirect
134. #65238C22semidirect
135. #65238C22semidirect
136. #65237C22semidirect
137. #65237C22semidirect
138. #65235C22semidirect
139. #65235C22semidirect
140. #65234C22semidirect
141. #65234C22semidirect
142. #65234C22semidirect
143. #65232C22semidirect
144. #65231C22semidirect
146. C4×#685C22semidirect
147. #65222C22semidirect
148. #65222C22semidirect
149. #64965C22semidirect
150. #64964C22semidirect
151. #64964C22semidirect
152. #64964C22semidirect
153. #64963C22semidirect
154. #64962C22semidirect
157. #64958C22semidirect
158. #64958C22semidirect
166. #64957C22semidirect
167. #64957C22semidirect
168. #64957C22semidirect
169. #64957C22semidirect
170. #64957C22semidirect
174. #64956C22semidirect
175. #64953C22semidirect
176. #64953C22semidirect
177. #64950C22semidirect
178. #64949C22semidirect
179. #64946C22semidirect
180. #64945C22semidirect
181. #64944C22semidirect
182. #64943C22semidirect
183. #64943C22semidirect
184. #64941C22semidirect
185. #64941C22semidirect
186. #64940C22semidirect
187. #64939C22semidirect
188. #64936C22semidirect
272. C4×C22⋊D5D4semidirect
418. #2325D5semidirect
678. C2×C4×D4C2×D5semidirect
729. #388C2×D5semidirect
730. #388C2×D5semidirect
739. #387C2×D5semidirect
740. #387C2×D5semidirect
752. #386C2×D5semidirect
753. #386C2×D5semidirect
754. #386C2×D5semidirect
779. #385C2×D5semidirect
780. #385C2×D5semidirect
791. #380C2×D5semidirect
800. C2×#95C2×D5semidirect
1213. C2×D5#539semidirect
1633. C5#34991semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D52
C2×#658982
C5×#23252
#106144332
#106143762
C4×#40832
#106140572
#106076892
#106076322
#106075862
#106072702
#106071762
#106071102
#106070612
#106067392
#106066672
#106066312
#106066232
#106065152
#106064412
#106064352
#106064212
#106064172
#106063862
#106063422
#106063402
#106062342
#106056272
#106056212
#106050982
C2×#649572
#349915