Finite Group Databasebeta

← #12272008

Subgroups — #12272008

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
1C22×C4×C22⋊D5C211yesmaximal, characteristic, complemented
2C2×#65898C211yesmaximal, characteristic, complemented
3C4×C5×#120C211yesmaximal, characteristic, complemented
4C2×#65499C211yesmaximal, characteristic, complemented
5#10614337C211yesmaximal, characteristic
6#10614315C211yesmaximal, characteristic, complemented
7#10614141C211yesmaximal, characteristic, complemented
8#10614135C211yesmaximal, characteristic, complemented
9#10614099C211yesmaximal, characteristic, complemented
10#10614091C211yesmaximal, characteristic, complemented
11#10614058C211yesmaximal, characteristic, complemented
12#10606667C211yesmaximal, characteristic, complemented
13#10606638C211yesmaximal, characteristic, complemented
14#10606601C211yesmaximal, characteristic, complemented
15#10606515C211yesmaximal, characteristic, complemented
16#10606433C211yesmaximal, characteristic, complemented
17#10606427C211yesmaximal, characteristic, complemented
18#10606386C211yesmaximal, characteristic, complemented
19#10606355C211yesmaximal, characteristic, complemented
20#10606317C211yesmaximal, characteristic, complemented
21#10606234C211yesmaximal, characteristic, complemented
22#10606152C211yesmaximal, characteristic, complemented
23#10606139C211yesmaximal, characteristic, complemented
24#10605559C211yesmaximal, characteristic, complemented
25#10605554C211yesmaximal, characteristic, complemented
26#10605327C211yesmaximal, characteristic, complemented
27#10605323C211yesmaximal, characteristic, complemented
28#10605299C211yesmaximal, characteristic, complemented
29#10605232C211yesmaximal, characteristic, complemented
30#10605228C211yesmaximal, characteristic, complemented
31#10605177C211yesmaximal, characteristic, complemented
32C24×C4×C5C2211yescharacteristic
33C23×C22⋊D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×#120C2211yescharacteristic
36C2×C4×C5×D4C2211yescharacteristic
37C2×C4×C5×D4C2211yescharacteristic, complemented
38C2×C4×C5×D4C2211yescharacteristic, complemented
39C22×C22⋊Dic5C2211yescharacteristic
40C22×C22⋊Dic5C2211yescharacteristic
41C22×C22⋊Dic5C2211yescharacteristic
42C2×#4085C2211yescharacteristic
43C2×#4085C2211yescharacteristic
44C2×#4083C2211yescharacteristic
45C2×#4081C2211yescharacteristic, complemented
46C2×#4075C2211yescharacteristic, complemented
47C2×C4×C22⋊D5—28no—
48C2×C4×C22⋊D5C2211yescharacteristic
49C2×C4×C22⋊D5C2211yescharacteristic
50C2×C4×C22⋊D5C2211yescharacteristic
51C2×C4×C22⋊D5C2211yescharacteristic
52C2×C4×C22⋊D5C2211yescharacteristic
53C2×C4×C22⋊D5C2211yescharacteristic
54C2×C4×C22⋊D5C2211yescharacteristic
55C2×C4×C22⋊D5C2211yescharacteristic
56C22×#685C2211yescharacteristic
57C2×#4070C2211yescharacteristic, complemented
58C22×#683C2211yescharacteristic
59C22×#683C2211yescharacteristic, complemented
60C22×#683C2211yescharacteristic, complemented
61C22×C4×Dic5C2211yescharacteristic
62#65898—28no—
63C2×#4042C2211yescharacteristic, complemented
64C2×#4042C2211yescharacteristic, complemented
65C2×#4035C2211yescharacteristic, complemented
66C2×#4032C2211yescharacteristic
67C2×#4032C2211yescharacteristic
68C2×#4029C2211yescharacteristic, complemented
69C2×#4029C2211yescharacteristic, complemented
70C2×#4025C2211yescharacteristic, complemented
71C2×#4024C2211yescharacteristic
72C2×#4024C2211yescharacteristic, complemented
73C2×#4022C2211yescharacteristic, complemented
74C2×#4016C2211yescharacteristic, complemented
75C5×#386C2211yescharacteristic
76C5×#386C2211yescharacteristic, complemented
77C5×#386C2211yescharacteristic, complemented
78C5×#385C2211yescharacteristic
79C5×#385C2211yescharacteristic, complemented
80C5×#385C2211yescharacteristic, complemented
81C5×#379C2211yescharacteristic
82C4×C5×C22⋊C4C2211yescharacteristic
83C4×C5×C22⋊C4C2211yescharacteristic, complemented
84C4×C5×C22⋊C4C2211yescharacteristic, complemented
85#65512C2211yescharacteristic
86#65512C2211yescharacteristic
87#65511C2211yescharacteristic, complemented
88#65511C2211yescharacteristic, complemented
89#65509C2211yescharacteristic
90#65509C2211yescharacteristic
91#65509C2211yescharacteristic
92#65509C2211yescharacteristic, complemented
93#65502C2211yescharacteristic, complemented
94#65499C2211yescharacteristic
95#65499C2211yescharacteristic
96#65499C2211yescharacteristic
97#65499C2211yescharacteristic
98#65499C2211yescharacteristic, complemented
99#65499C2211yescharacteristic, complemented
100#65499C2211yescharacteristic, complemented
101#65499C2211yescharacteristic, complemented
102#65499C2211yescharacteristic, complemented
103C2×#3963C2211yescharacteristic, complemented
104C2×#3963C2211yescharacteristic, complemented
105#65282C2211yescharacteristic, complemented
106#65281C2211yescharacteristic, complemented
107#65278C2211yescharacteristic, complemented
108#65278C2211yescharacteristic, complemented
109#65273C2211yescharacteristic, complemented
110#65270C2211yescharacteristic, complemented
111#65268C2211yescharacteristic, complemented
112#65267C2211yescharacteristic, complemented
113#65261C2211yescharacteristic, complemented
114#65250C2211yescharacteristic
115#65250C2211yescharacteristic
116#65250C2211yescharacteristic
117#65250C2211yescharacteristic
118#65248C2211yescharacteristic
119#65248C2211yescharacteristic
120#65248C2211yescharacteristic, complemented
121#65248C2211yescharacteristic, complemented
122#65247C2211yescharacteristic
123#65247C2211yescharacteristic
124#65247C2211yescharacteristic
125#65247C2211yescharacteristic
126#65245C2211yescharacteristic, complemented
127#65245C2211yescharacteristic, complemented
128#65244C2211yescharacteristic
129#65244C2211yescharacteristic
130#65244C2211yescharacteristic
131#65241C2211yescharacteristic, complemented
132#65241C2211yescharacteristic, complemented
133#65240C2211yescharacteristic, complemented
134#65239C2211yescharacteristic
135#65239C2211yescharacteristic
136#65239C2211yescharacteristic
137#65239C2211yescharacteristic, complemented
138#65238C2211yescharacteristic, complemented
139#65238C2211yescharacteristic, complemented
140#65237C2211yescharacteristic, complemented
141#65237C2211yescharacteristic, complemented
142#65237C2211yescharacteristic, complemented
143#65236C2211yescharacteristic, complemented
144#65235C2211yescharacteristic
145#65235C2211yescharacteristic
146#65235C2211yescharacteristic, complemented
147#65235C2211yescharacteristic, complemented
148#65234C2211yescharacteristic, complemented
149#65233C2211yescharacteristic, complemented
150#65232C2211yescharacteristic, complemented
151#65231C2211yescharacteristic
152#65231C2211yescharacteristic
153#65231C2211yescharacteristic
154#65231C2211yescharacteristic, complemented
155#65229C2211yescharacteristic, complemented
156#65229C2211yescharacteristic, complemented
157#65229C2211yescharacteristic, complemented
158#65229C2211yescharacteristic, complemented
159#65229C2211yescharacteristic, complemented
160#65222C2211yescharacteristic, complemented
161#65222C2211yescharacteristic, complemented
162#65222C2211yescharacteristic, complemented
163#65217C2211yescharacteristic, complemented
164#65217C2211yescharacteristic, complemented
165#64965C2211yescharacteristic, complemented
166#64964C2211yescharacteristic, complemented
167#64964C2211yescharacteristic, complemented
168#64964C2211yescharacteristic, complemented
169#64957C2211yescharacteristic, complemented
170#64957C2211yescharacteristic, complemented
171#64957C2211yescharacteristic, complemented
172#64957C2211yescharacteristic, complemented
173#64956C2211yescharacteristic, complemented
174#64956C2211yescharacteristic, complemented
175#64953C2211yescharacteristic, complemented
176#64953C2211yescharacteristic, complemented
177#64949C2211yescharacteristic, complemented
178#64946C2211yescharacteristic, complemented
179#64946C2211yescharacteristic, complemented
180#64946C2211yescharacteristic, complemented
181#64944C2211yescharacteristic, complemented
182#64942C2211yescharacteristic, complemented
183#64942C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64941C2211yescharacteristic, complemented
186#64940C2211yescharacteristic, complemented
187#64939C2211yescharacteristic, complemented
188#64936C2211yescharacteristic, complemented
189#34991—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C23×C4×C5—24no—
196C23×C4×C5—42no—
197C23×C4×C5—42no—
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C23×C4×C5C2311yescharacteristic
204C23×C4×C5C2311yescharacteristic
205C22×C22⋊D5—24no—
206C22×C22⋊D5—24no—
207C22×C22⋊D5—24no—
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C22×C22⋊D5C2311yescharacteristic
212C22×C22⋊D5C2311yescharacteristic
213C22×C22⋊D5C2311yescharacteristic
214C23×Dic5C2311yescharacteristic
215C23×Dic5C2311yescharacteristic
216C23×Dic5C2311yescharacteristic
217C23×Dic5C2311yescharacteristic
218C23×Dic5C2311yescharacteristic
219C23×Dic5C2311yescharacteristic
220C23×Dic5C2311yescharacteristic
221C22×C4×D5—24no—
222C22×C4×D5—42no—
223C22×C4×D5—42no—
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×C4×D5C2311yescharacteristic
227C22×C4×D5C2311yescharacteristic
228C22×Dic10C2311yescharacteristic
229C5×#120—24no—
230C4×C5×D4—24no—
231C4×C5×D4—42no—
232C4×C5×D4—42no—
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C22⋊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×C5×C22⋊C4C2311yescharacteristic
248C2×C42×C5C2311yescharacteristic
249C2×C42×C5C2311yescharacteristic
250C2×C42×C5C2311yescharacteristic
251C2×C22⋊Dic5—24no—
252C2×C22⋊Dic5—24no—
253C2×C22⋊Dic5—42no—
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261C2×C22⋊Dic5C2311yescharacteristic
262C2×C22⋊Dic5C2311yescharacteristic
263C2×C22⋊Dic5C2311yescharacteristic
264C2×C22⋊Dic5C2311yescharacteristic
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268C2×C22⋊Dic5C2311yescharacteristic
269C2×C22⋊Dic5C2311yescharacteristic
270C2×C22⋊Dic5C2311yescharacteristic
271C2×C22⋊Dic5C2311yescharacteristic
272#4085—24no—
273#4085—24no—
274#4083—42no—
275#4081—24no—
276#4075—24no—
277C4×C22⋊D5—24no—
278C4×C22⋊D5—24no—
279C4×C22⋊D5—24no—
280C4×C22⋊D5—24no—
281C4×C22⋊D5—24no—
282C4×C22⋊D5—24no—
283C4×C22⋊D5—24no—
284C4×C22⋊D5D418yescomplemented
285C2×#685—24no—
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×#685C2311yescharacteristic
301C2×#685C2311yescharacteristic
302C2×#685C2311yescharacteristic
303C2×#685C2311yescharacteristic
304C2×C4⋊Dic5C2311yescharacteristic
305C2×C4⋊Dic5C2311yescharacteristic
306C2×C4⋊Dic5C2311yescharacteristic
307C2×C4⋊Dic5C2311yescharacteristic
308C2×C4⋊Dic5C2311yescharacteristic
309C2×C4⋊Dic5C2311yescharacteristic
310C2×C4⋊Dic5C2311yescharacteristic
311#4070—24no—
312C2×#683—24no—
313C2×#683—24no—
314C2×#683—42no—
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×#683C2311yescharacteristic
333C2×#683C2311yescharacteristic
334C2×#683C2311yescharacteristic
335C2×#683C2311yescharacteristic
336C2×#683C2311yescharacteristic
337C2×#683C2311yescharacteristic
338C2×#683C2311yescharacteristic
339C2×C4×Dic5—24no—
340C2×C4×Dic5C2311yescharacteristic
341C2×C4×Dic5C2311yescharacteristic
342C2×C4×Dic5C2311yescharacteristic
343C2×C4×Dic5C2311yescharacteristic
344#4042—24no—
345#4042—42no—
346#4035—24no—
347#4032—24no—
348#4032—24no—
349#4029—24no—
350#4029—42no—
351#4025—24no—
352#4024—24no—
353#4024—42no—
354#4022—24no—
355#4016—24no—
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
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×#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#2325—51no—
419#2322—51no—
420#2318—51no—
421C4×#120D511yescharacteristic, complemented
422C2×#385—51no—
423C24×C5—22no—
424C24×C5—22no—
425C24×C5—22no—
426C24×C5—22no—
427C24×C5—41no—
428C24×C5—41no—
429C24×C5#4114yes—
430C24×C5C2411yescharacteristic
431C24×C5C2411yescharacteristic
432C24×C5C2411yescharacteristic
433C24×C5C2411yescharacteristic
434C23×D5—22no—
435C23×D5—22no—
436C23×D5—22no—
437C23×D5—22no—
438C23×D5—22no—
439C23×D5—41no—
440C23×D5—41no—
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—22no—
450C2×C5×D4—41no—
451C2×C5×D4—41no—
452C22×C4×C5—22no—
453C22×C4×C5—22no—
454C22×C4×C5—22no—
455C22×C4×C5—22no—
456C22×C4×C5—22no—
457C22×C4×C5—22no—
458C22×C4×C5—22no—
459C22×C4×C5—22no—
460C22×C4×C5—22no—
461C22×C4×C5—22no—
462C22×C4×C5—22no—
463C22×C4×C5—41no—
464C22×C4×C5—41no—
465C22×C4×C5—41no—
466C22×C4×C5—41no—
467C22×C4×C5—41no—
468C22×C4×C5—41no—
469C22×C4×C5—41no—
470C22×C4×C5—41no—
471C22×C4×C5—41no—
472C22×C4×C5—416no—
473C22×C4×C5C2×D414yes—
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C22×C4×C5C2411yescharacteristic
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2411yescharacteristic
479C22×C4×C5C2411yescharacteristic
480C22×C4×C5C2411yescharacteristic
481C22×C4×C5C2411yescharacteristic
482C22×C4×C5C2411yescharacteristic
483C22×C4×C5C2411yescharacteristic
484C22×C4×C5C2411yescharacteristic
485C2×C22⋊D5—232no—
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⋊D5C2×D414yes—
503C2×C22⋊D5#4114yes—
504C22×Dic5—22no—
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—22no—
514C22×Dic5—22no—
515C22×Dic5—22no—
516C22×Dic5—22no—
517C22×Dic5—41no—
518C22×Dic5—41no—
519C22×Dic5—41no—
520C22×Dic5—41no—
521C22×Dic5—41no—
522C22×Dic5—41no—
523C22×Dic5—41no—
524C22×Dic5—41no—
525C22×Dic5C2411yescharacteristic
526C22×Dic5C2411yescharacteristic
527C22×Dic5C2411yescharacteristic
528C22×Dic5C2411yescharacteristic
529C22×Dic5C2411yescharacteristic
530C22×Dic5C2411yescharacteristic
531C22×Dic5C2411yescharacteristic
532C22×Dic5C2411yescharacteristic
533C22×Dic5C2411yescharacteristic
534C22×Dic5C2411yescharacteristic
535C22×Dic5C2411yescharacteristic
536C22×Dic5C2411yescharacteristic
537C22×Dic5C2411yescharacteristic
538C22×Dic5C2411yescharacteristic
539C2×C4×D5—22no—
540C2×C4×D5—22no—
541C2×C4×D5—22no—
542C2×C4×D5—22no—
543C2×C4×D5—22no—
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—416no—
551C2×C4×D5C2×D414yes—
552C2×Dic10—22no—
553C2×Dic10—41no—
554C2×Dic10—41no—
555C5×C4⋊C4—22no—
556C5×C4⋊C4—22no—
557C5×C4⋊C4—41no—
558C5×C22⋊C4—22no—
559C5×C22⋊C4—22no—
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—22no—
567C5×C22⋊C4—41no—
568C5×C22⋊C4—41no—
569C5×C22⋊C4—41no—
570C42×C5—22no—
571C42×C5—41no—
572C42×C5—41no—
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—22no—
582C22⋊Dic5—22no—
583C22⋊Dic5—22no—
584C22⋊Dic5—22no—
585C22⋊Dic5—22no—
586C22⋊Dic5—41no—
587C22⋊Dic5—41no—
588C22⋊Dic5—41no—
589C22⋊Dic5—41no—
590C22⋊Dic5C2×D414yes—
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—41no—
601#685—41no—
602#685—41no—
603#685—41no—
604#685—41no—
605#685—41no—
606#685—41no—
607#685—41no—
608#685C2×D414yes—
609C4⋊Dic5—22no—
610C4⋊Dic5—22no—
611C4⋊Dic5—22no—
612C4⋊Dic5—22no—
613C4⋊Dic5—22no—
614C4⋊Dic5—41no—
615C4⋊Dic5—41no—
616#683—22no—
617#683—22no—
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#683—41no—
639#683C2×D414yes—
640C4×Dic5—22no—
641C4×Dic5—22no—
642C4×Dic5—22no—
643C4×Dic5C2×D414yes—
644C23×D4—51no—
645C24×C4—51no—
646C24×C4C2×D511yescharacteristic
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×#121—51no—
665C2×#120—51no—
666C2×#120C2×D511yescharacteristic
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—108no—
676C2×C4×D4C2×D511yescharacteristic
677C2×C4×D4C2×D511yescharacteristic, complemented
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#388—51no—
730#388—51no—
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#387—51no—
740#387—51no—
741#386—51no—
742#386—51no—
743#386—51no—
744#386—51no—
745#386—51no—
746#386—51no—
747#386—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#386C2×D511yescharacteristic
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#385C2×D511yescharacteristic
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#380—51no—
792#379—51no—
793#379—51no—
794#379—51no—
795#379C2×D511yescharacteristic
796C4×C22⋊C4C2×D511yescharacteristic
797C4×C22⋊C4C2×D511yescharacteristic, complemented
798C4×C22⋊C4C2×D511yescharacteristic, complemented
799C2×#95—51no—
800C2×#95—51no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—28no—
810C23×C5—28no—
811C23×C5—21no—
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—44no—
825C23×C5—44no—
826C23×C5—44no—
827C23×C5—44no—
828C23×C5—44no—
829C23×C5C22×D412yes—
830C23×C5C2×#4112yes—
831C23×C5C2×#4112yes—
832C23×C5C2×#4112yes—
833C23×C5C2×#4112yes—
834C23×C5H(5,𝔽2)12yes—
835C23×C52−1+412yes—
836C23×C5C2511yescharacteristic
837C22×D5—28no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—21no—
841C22×D5—21no—
842C22×D5—21no—
843C22×D5—21no—
844C22×D5—21no—
845C22×D5—21no—
846C22×D5—21no—
847C22×D5—21no—
848C22×D5—21no—
849C22×D5—21no—
850C22×D5—44no—
851C22×D5—44no—
852C22×D5—44no—
853C22×D5—44no—
854C22×D5—44no—
855C22×D5—44no—
856C22×D5C22×D412yes—
857C22×D5C2×#4112yes—
858C5×D4—44no—
859C5×D4—44no—
860C5×D4—44no—
861C2×C4×C5—28no—
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—44no—
893C2×C4×C5—44no—
894C2×C4×C5—44no—
895C2×C4×C5—44no—
896C2×C4×C5—44no—
897C2×C4×C5—82no—
898C2×C4×C5C22×D412yes—
899C2×C4×C5C22×D412yes—
900C2×C4×C5H(5,𝔽2)12yes—
901C22⋊D5—28no—
902C22⋊D5—28no—
903C22⋊D5—28no—
904C22⋊D5—28no—
905C22⋊D5—82no—
906C22⋊D5—82no—
907C2×Dic5—28no—
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—21no—
943C2×Dic5—21no—
944C2×Dic5—21no—
945C2×Dic5—21no—
946C2×Dic5—44no—
947C2×Dic5—44no—
948C2×Dic5—44no—
949C2×Dic5—44no—
950C2×Dic5—82no—
951C2×Dic5—82no—
952C2×Dic5C22×D412yes—
953C2×Dic5C22×D412yes—
954C2×Dic5C22×D412yes—
955C2×Dic5C2×#4112yes—
956C4×D5—44no—
957C4×D5—44no—
958C4×D5—44no—
959C4×D5—44no—
960Dic10—82no—
961C25—51no—
962C25C22×D511yescharacteristic
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—24no—
977C23×C4—42no—
978C23×C4—42no—
979C23×C4—51no—
980C23×C4—51no—
981C23×C4—51no—
982C23×C4—51no—
983C23×C4—51no—
984C23×C4—51no—
985C23×C4—51no—
986C23×C4—51no—
987C23×C4—51no—
988C23×C4—51no—
989C23×C4—51no—
990C23×C4—104no—
991C23×C4—202no—
992C23×C4—202no—
993C23×C4C22×D511yescharacteristic
994C23×C4C22×D511yescharacteristic
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—104no—
1016#121—104no—
1017#120—24no—
1018#120—202no—
1019C4×D4—24no—
1020C4×D4—42no—
1021C4×D4—42no—
1022C4×D4—58no—
1023C4×D4—104no—
1024C4×D4—104no—
1025C4×D4—104no—
1026C4×D4—104no—
1027C4×D4—104no—
1028C4×D4—104no—
1029C4×D4—104no—
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—51no—
1060C2×C4⋊C4—51no—
1061C2×C4⋊C4—104no—
1062C2×C4⋊C4—104no—
1063C2×C4⋊C4—202no—
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—104no—
1104C2×C22⋊C4—104no—
1105C2×C22⋊C4—104no—
1106C2×C22⋊C4—202no—
1107C2×C22⋊C4C22×D511yescharacteristic
1108C2×C22⋊C4C22×D511yescharacteristic
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—104no—
1124C2×C42C22×D511yescharacteristic
1125C2×C42C22×D511yescharacteristic
1126C2×C42C22×D511yescharacteristic
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130#95—51no—
1131#95—51no—
1132#95—51no—
1133#95—51no—
1134#95—51no—
1135#95—51no—
1136#95—51no—
1137#95—51no—
1138#95—51no—
1139#95—51no—
1140#95—51no—
1141#95—51no—
1142#95—51no—
1143#95—51no—
1144#95—51no—
1145#95—51no—
1146#95—51no—
1147#95—51no—
1148#95—51no—
1149#95—51no—
1150#95—51no—
1151#95—51no—
1152#95—51no—
1153#95—51no—
1154#95—51no—
1155#95—51no—
1156#95—51no—
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—22no—
1173C22×C5—22no—
1174C22×C5—22no—
1175C22×C5—22no—
1176C22×C5—22no—
1177C22×C5—22no—
1178C22×C5—416no—
1179C22×C5—41no—
1180C22×C5—41no—
1181C22×C5—41no—
1182C22×C5—41no—
1183C22×C5—41no—
1184C22×C5—41no—
1185C22×C5—41no—
1186C22×C5—41no—
1187C22×C5—41no—
1188C22×C5—41no—
1189C22×C5—41no—
1190C22×C5#52514yes—
1191C22×C5#53914yescomplemented
1192C22×C5C23×D411yescharacteristic
1193C22×C5C22×#4111yescharacteristic
1194C22×C5C22×#4111yescharacteristic
1195C22×C5C2×H(5,𝔽2)11yescharacteristic
1196C22×C5C2×H(5,𝔽2)11yescharacteristic
1197C22×C5C2×2−1+411yescharacteristic
1198C22×C5#58511yescharacteristic
1199C2×D5—22no—
1200C2×D5—22no—
1201C2×D5—22no—
1202C2×D5—22no—
1203C2×D5—22no—
1204C2×D5—22no—
1205C2×D5—416no—
1206C2×D5—41no—
1207C2×D5—41no—
1208C2×D5—41no—
1209C2×D5—41no—
1210C2×D5—41no—
1211C2×D5—41no—
1212C2×D5—41no—
1213C2×D5—41no—
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—
1225Dic5—22no—
1226Dic5—22no—
1227Dic5—22no—
1228Dic5—22no—
1229Dic5—41no—
1230Dic5—41no—
1231Dic5—41no—
1232Dic5—41no—
1233Dic5—41no—
1234Dic5—41no—
1235Dic5—41no—
1236Dic5—41no—
1237Dic5—41no—
1238Dic5—41no—
1239C24—22no—
1240C24—22no—
1241C24—22no—
1242C24—22no—
1243C24—41no—
1244C24—41no—
1245C24—51no—
1246C24—51no—
1247C24—102no—
1248C24—102no—
1249C24—102no—
1250C24—102no—
1251C24—102no—
1252C24—201no—
1253C24—201no—
1254C24#70914yes—
1255C24C23×D511yescharacteristic
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—22no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—54no—
1272C2×D4—54no—
1273C2×D4—102no—
1274C2×D4—102no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—1032no—
1278C2×D4—102no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—102no—
1282C2×D4—102no—
1283C2×D4—102no—
1284C2×D4—102no—
1285C2×D4—102no—
1286C2×D4—201no—
1287C2×D4—201no—
1288C2×D4—201no—
1289C2×D4—201no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—416no—
1311C22×C4—51no—
1312C22×C4—51no—
1313C22×C4—51no—
1314C22×C4—51no—
1315C22×C4—54no—
1316C22×C4—51no—
1317C22×C4—51no—
1318C22×C4—51no—
1319C22×C4—51no—
1320C22×C4—51no—
1321C22×C4—51no—
1322C22×C4—51no—
1323C22×C4—51no—
1324C22×C4—51no—
1325C22×C4—51no—
1326C22×C4—102no—
1327C22×C4—102no—
1328C22×C4—102no—
1329C22×C4—102no—
1330C22×C4—102no—
1331C22×C4—102no—
1332C22×C4—102no—
1333C22×C4—102no—
1334C22×C4—102no—
1335C22×C4—102no—
1336C22×C4—102no—
1337C22×C4—102no—
1338C22×C4—102no—
1339C22×C4—102no—
1340C22×C4—102no—
1341C22×C4—102no—
1342C22×C4—102no—
1343C22×C4—102no—
1344C22×C4—201no—
1345C22×C4—201no—
1346C22×C4—201no—
1347C22×C4—201no—
1348C22×C4—201no—
1349C22×C4—201no—
1350C22×C4—2016no—
1351C22×C4—201no—
1352C22×C4—201no—
1353C22×C4—201no—
1354C22×C4—201no—
1355C22×C4—201no—
1356C22×C4—201no—
1357C22×C4—201no—
1358C22×C4—201no—
1359C22×C4D4×D514yes—
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—41no—
1374C4⋊C4—54no—
1375C4⋊C4—102no—
1376C4⋊C4—102no—
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—201no—
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—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—54no—
1418C22⋊C4—54no—
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—201no—
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—41no—
1455C42—41no—
1456C42—54no—
1457C42—102no—
1458C42—102no—
1459C42—102no—
1460C2×C5—24no—
1461C2×C5—24no—
1462C2×C5—42no—
1463C2×C5—81no—
1464C2×C5C2×#52511yescharacteristic
1465C2×C5C2×#53911yescharacteristic
1466C2×C5#345911yescharacteristic
1467C2×C5#348411yescharacteristic
1468C2×C5#348911yescharacteristic
1469C2×C5#351311yescharacteristic
1470C2×C5#352011yescharacteristic
1471D5—42no—
1472D5—42no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—28no—
1482C23—28no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—52no—
1502C23—52no—
1503C23—108no—
1504C23—101no—
1505C23—101no—
1506C23—101no—
1507C23—101no—
1508C23—101no—
1509C23—101no—
1510C23—101no—
1511C23—101no—
1512C23—101no—
1513C23—101no—
1514C23—101no—
1515C23—101no—
1516C23—204no—
1517C23—204no—
1518C23—204no—
1519C23—204no—
1520C23—204no—
1521C23—204no—
1522C23C2×#70912yes—
1523C23C2×#70912yes—
1524C23C2×#70912yes—
1525C23C2×D4×D512yes—
1526C23#414412yes—
1527C23D5×#4112yes—
1528C23#415012yes—
1529C23C24×D511yescharacteristic
1530Q8—402no—
1531D4—44no—
1532D4—44no—
1533D4—44no—
1534D4—108no—
1535D4—108no—
1536D4—108no—
1537D4—108no—
1538D4—402no—
1539D4—402no—
1540C2×C4—28no—
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—44no—
1572C2×C4—44no—
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—108no—
1582C2×C4—101no—
1583C2×C4—101no—
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—101no—
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—402no—
1629C2×C4—402no—
1630C2×C4C2×D4×D512yes—
1631C2×C4C2×D4×D512yes—
1632C2×C4#414412yes—
1633C5#3499111yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—416no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—102no—
1662C22—102no—
1663C22—102no—
1664C22—102no—
1665C22—102no—
1666C22—102no—
1667C22—2016no—
1668C22—201no—
1669C22—201no—
1670C22—201no—
1671C22—201no—
1672C22—201no—
1673C22—201no—
1674C22—201no—
1675C22—201no—
1676C22#6588114yes—
1677C22#6589814yescomplemented
1678C22C22×#70911yescharacteristic
1679C22C22×D4×D511yescharacteristic
1680C22C2×#414411yescharacteristic
1681C22C2×#414411yescharacteristic
1682C22C2×D5×#4111yescharacteristic
1683C22C2×#415011yescharacteristic
1684C22#6628311yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—102no—
1697C4—102no—
1698C4—102no—
1699C4—102no—
1700C4—201no—
1701C4—201no—
1702C4—201no—
1703C4—201no—
1704C4—201no—
1705C4—201no—
1706C4—201no—
1707C4—201no—
1708C4—201no—
1709C4—201no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—81no—
1714C2—202no—
1715C2—202no—
1716C2C2×#6589811yescharacteristic
1717C2C2×#6588111yescharacteristic
1718C2#1061767711yescharacteristic
1719C2#1061782011yescharacteristic
1720C2#1061794311yescharacteristic
1721C2#1061794611yescharacteristic
1722C2#1061794811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC4×C5×#120C2
prime radical#10614337C2
hypercenterC4×#120D5
hypocenterC5#34991
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. C22×C4×C22⋊D5C2semidirect
2. C2×#65898C2semidirect
3. C4×C5×#120C2semidirect
4. C2×#65499C2semidirect
6. #10614315C2semidirect
7. #10614141C2semidirect
8. #10614135C2semidirect
9. #10614099C2semidirect
10. #10614091C2semidirect
11. #10614058C2semidirect
12. #10606667C2semidirect
13. #10606638C2semidirect
14. #10606601C2semidirect
15. #10606515C2semidirect
16. #10606433C2semidirect
17. #10606427C2semidirect
18. #10606386C2semidirect
19. #10606355C2semidirect
20. #10606317C2semidirect
21. #10606234C2semidirect
22. #10606152C2semidirect
23. #10606139C2semidirect
24. #10605559C2semidirect
25. #10605554C2semidirect
26. #10605327C2semidirect
27. #10605323C2semidirect
28. #10605299C2semidirect
29. #10605232C2semidirect
30. #10605228C2semidirect
31. #10605177C2semidirect
37. C2×C4×C5×D4C22semidirect
38. C2×C4×C5×D4C22semidirect
45. C2×#4081C22semidirect
46. C2×#4075C22semidirect
57. C2×#4070C22semidirect
59. C22×#683C22semidirect
60. C22×#683C22semidirect
63. C2×#4042C22semidirect
64. C2×#4042C22semidirect
65. C2×#4035C22semidirect
68. C2×#4029C22semidirect
69. C2×#4029C22semidirect
70. C2×#4025C22semidirect
72. C2×#4024C22semidirect
73. C2×#4022C22semidirect
74. C2×#4016C22semidirect
76. C5×#386C22semidirect
77. C5×#386C22semidirect
79. C5×#385C22semidirect
80. C5×#385C22semidirect
83. C4×C5×C22⋊C4C22semidirect
84. C4×C5×C22⋊C4C22semidirect
87. #65511C22semidirect
88. #65511C22semidirect
92. #65509C22semidirect
93. #65502C22semidirect
98. #65499C22semidirect
99. #65499C22semidirect
100. #65499C22semidirect
101. #65499C22semidirect
102. #65499C22semidirect
103. C2×#3963C22semidirect
104. C2×#3963C22semidirect
105. #65282C22semidirect
106. #65281C22semidirect
107. #65278C22semidirect
108. #65278C22semidirect
109. #65273C22semidirect
110. #65270C22semidirect
111. #65268C22semidirect
112. #65267C22semidirect
113. #65261C22semidirect
120. #65248C22semidirect
121. #65248C22semidirect
126. #65245C22semidirect
127. #65245C22semidirect
131. #65241C22semidirect
132. #65241C22semidirect
133. #65240C22semidirect
137. #65239C22semidirect
138. #65238C22semidirect
139. #65238C22semidirect
140. #65237C22semidirect
141. #65237C22semidirect
142. #65237C22semidirect
143. #65236C22semidirect
146. #65235C22semidirect
147. #65235C22semidirect
148. #65234C22semidirect
149. #65233C22semidirect
150. #65232C22semidirect
154. #65231C22semidirect
155. #65229C22semidirect
156. #65229C22semidirect
157. #65229C22semidirect
158. #65229C22semidirect
159. #65229C22semidirect
160. #65222C22semidirect
161. #65222C22semidirect
162. #65222C22semidirect
163. #65217C22semidirect
164. #65217C22semidirect
165. #64965C22semidirect
166. #64964C22semidirect
167. #64964C22semidirect
168. #64964C22semidirect
169. #64957C22semidirect
170. #64957C22semidirect
171. #64957C22semidirect
172. #64957C22semidirect
173. #64956C22semidirect
174. #64956C22semidirect
175. #64953C22semidirect
176. #64953C22semidirect
177. #64949C22semidirect
178. #64946C22semidirect
179. #64946C22semidirect
180. #64946C22semidirect
181. #64944C22semidirect
182. #64942C22semidirect
183. #64942C22semidirect
184. #64941C22semidirect
185. #64941C22semidirect
186. #64940C22semidirect
187. #64939C22semidirect
188. #64936C22semidirect
284. C4×C22⋊D5D4semidirect
421. C4×#120D5semidirect
677. C2×C4×D4C2×D5semidirect
678. C2×C4×D4C2×D5semidirect
753. #386C2×D5semidirect
754. #386C2×D5semidirect
779. #385C2×D5semidirect
780. #385C2×D5semidirect
797. C4×C22⋊C4C2×D5semidirect
798. C4×C22⋊C4C2×D5semidirect
1191. C22×C5#539semidirect
1633. C5#34991semidirect
1677. C22#65898semidirect

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D52
C2×#658982
C4×C5×#1202
C2×#654992
#106143372
#106143152
#106141412
#106141352
#106140992
#106140912
#106140582
#106066672
#106066382
#106066012
#106065152
#106064332
#106064272
#106063862
#106063552
#106063172
#106062342
#106061522
#106061392
#106055592
#106055542
#106053272
#106053232
#106052992
#106052322
#106052282
#106051772
#349915