Finite Group Databasebeta

← #12271988

Subgroups — #12271988

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×C5×#539C211yesmaximal, characteristic, complemented
2C2×C4×D4×D5C211yesmaximal, characteristic, complemented
3#10614851C211yesmaximal, characteristic, complemented
4#10614843C211yesmaximal, characteristic, complemented
5#10614836C211yesmaximal, characteristic, complemented
6#10614812C211yesmaximal, characteristic, complemented
7#10614803C211yesmaximal, characteristic, complemented
8#10614797C211yesmaximal, characteristic, complemented
9#10614790C211yesmaximal, characteristic, complemented
10#10614763C211yesmaximal, characteristic, complemented
11#10614643C211yesmaximal, characteristic, complemented
12#10614635C211yesmaximal, characteristic, complemented
13#10614629C211yesmaximal, characteristic, complemented
14#10614627C211yesmaximal, characteristic, complemented
15#10614626C211yesmaximal, characteristic, complemented
16#10614624C211yesmaximal, characteristic, complemented
17#10614577C211yesmaximal, characteristic, complemented
18#10614575C211yesmaximal, characteristic, complemented
19#10614565C211yesmaximal, characteristic, complemented
20#10614554C211yesmaximal, characteristic, complemented
21#10614549C211yesmaximal, characteristic, complemented
22#10614548C211yesmaximal, characteristic, complemented
23#10614547C211yesmaximal, characteristic, complemented
24#10614495C211yesmaximal, characteristic, complemented
25#10614433C211yesmaximal, characteristic
26#10614386C211yesmaximal, characteristic, complemented
27C4×#4083C211yesmaximal, characteristic, complemented
28#10614058C211yesmaximal, characteristic, complemented
29#10614055C211yesmaximal, characteristic, complemented
30C2×#65278C211yesmaximal, characteristic, complemented
31#10613889C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C5×#539—28no—
36C2×C5×#126C2211yescharacteristic, complemented
37C2×C5×#126C2211yescharacteristic, complemented
38C2×C5×#125C2211yescharacteristic, complemented
39C2×C5×#125C2211yescharacteristic, complemented
40C2×C5×#123C2211yescharacteristic
41C2×C5×#123C2211yescharacteristic, complemented
42C2×C5×#123C2211yescharacteristic, complemented
43C2×C5×#123C2211yescharacteristic, complemented
44C2×C5×C22⋊Q8C2211yescharacteristic, complemented
45C2×C5×C22⋊Q8C2211yescharacteristic, complemented
46C2×C5×C22⋊Q8C2211yescharacteristic, complemented
47C2×C5×#121C2211yescharacteristic
48C2×C4×C5×D4C2211yescharacteristic
49C2×C4×C5×D4C2211yescharacteristic, complemented
50C22×C5×C4⋊C4C2211yescharacteristic, complemented
51C2×#4092C2211yescharacteristic
52C2×#4092C2211yescharacteristic, complemented
53C2×#4085C2211yescharacteristic
54C2×#4083C2211yescharacteristic
55C2×#4083C2211yescharacteristic
56C2×#4081C2211yescharacteristic, complemented
57C2×D4×Dic5C2211yescharacteristic
58C2×#4075C2211yescharacteristic
59C2×C4×C22⋊D5C2211yescharacteristic
60C2×C4×C22⋊D5C2211yescharacteristic
61C2×C4×C22⋊D5C2211yescharacteristic
62C2×C4×C22⋊D5C2211yescharacteristic, complemented
63C22×#685C2211yescharacteristic
64C22×#685C2211yescharacteristic
65C22×#683C2211yescharacteristic, complemented
66C4×D4×D5—28no—
67C2×#4039C2211yescharacteristic
68C2×D5×C4⋊C4C2211yescharacteristic
69C2×#4027C2211yescharacteristic
70C2×#4027C2211yescharacteristic
71C2×D5×C22⋊C4C2211yescharacteristic
72C2×D5×C22⋊C4C2211yescharacteristic
73C2×C4×D20C2211yescharacteristic
74C2×C42×D5C2211yescharacteristic
75#65520C2211yescharacteristic, complemented
76#65518C2211yescharacteristic, complemented
77#65512C2211yescharacteristic
78#65511C2211yescharacteristic, complemented
79#65509C2211yescharacteristic
80#65509C2211yescharacteristic
81#65509C2211yescharacteristic, complemented
82#65509C2211yescharacteristic, complemented
83#65502C2211yescharacteristic
84#65502C2211yescharacteristic, complemented
85#65501C2211yescharacteristic, complemented
86#65500C2211yescharacteristic, complemented
87#65500C2211yescharacteristic, complemented
88#65499C2211yescharacteristic, complemented
89#65499C2211yescharacteristic, complemented
90C4×C22⋊Dic5C2211yescharacteristic, complemented
91C2×#3963C2211yescharacteristic, complemented
92C2×#3963C2211yescharacteristic, complemented
93#65283C2211yescharacteristic, complemented
94#65283C2211yescharacteristic, complemented
95#65283C2211yescharacteristic, complemented
96#65282C2211yescharacteristic, complemented
97#65282C2211yescharacteristic, complemented
98#65282C2211yescharacteristic, complemented
99#65281C2211yescharacteristic, complemented
100#65281C2211yescharacteristic, complemented
101#65280C2211yescharacteristic
102#65280C2211yescharacteristic
103#65280C2211yescharacteristic
104#65279C2211yescharacteristic, complemented
105#65279C2211yescharacteristic, complemented
106#65278C2211yescharacteristic
107#65278C2211yescharacteristic
108#65278C2211yescharacteristic
109#65278C2211yescharacteristic
110#65278C2211yescharacteristic
111#65278C2211yescharacteristic
112#65278C2211yescharacteristic
113#65278C2211yescharacteristic
114#65278C2211yescharacteristic
115#65278C2211yescharacteristic
116#65278C2211yescharacteristic, complemented
117#65278C2211yescharacteristic, complemented
118#65278C2211yescharacteristic, complemented
119#65278C2211yescharacteristic, complemented
120#65278C2211yescharacteristic, complemented
121#65278C2211yescharacteristic, complemented
122#65278C2211yescharacteristic, complemented
123#65278C2211yescharacteristic, complemented
124#65278C2211yescharacteristic, complemented
125#65276C2211yescharacteristic
126#65276C2211yescharacteristic
127#65276C2211yescharacteristic
128#65276C2211yescharacteristic, complemented
129#65275C2211yescharacteristic, complemented
130#65273C2211yescharacteristic, complemented
131#65272C2211yescharacteristic, complemented
132#65272C2211yescharacteristic, complemented
133#65270C2211yescharacteristic, complemented
134#65270C2211yescharacteristic, complemented
135#65269C2211yescharacteristic, complemented
136#65267C2211yescharacteristic, complemented
137#65267C2211yescharacteristic, complemented
138#65267C2211yescharacteristic, complemented
139#65267C2211yescharacteristic, complemented
140#65267C2211yescharacteristic, complemented
141#65267C2211yescharacteristic, complemented
142#65267C2211yescharacteristic, complemented
143#65262C2211yescharacteristic, complemented
144#65262C2211yescharacteristic, complemented
145#65261C2211yescharacteristic, complemented
146#65261C2211yescharacteristic, complemented
147#65250C2211yescharacteristic, complemented
148#65250C2211yescharacteristic, complemented
149#65250C2211yescharacteristic, complemented
150#65249C2211yescharacteristic
151#65248C2211yescharacteristic
152#65248C2211yescharacteristic
153#65248C2211yescharacteristic
154#65247C2211yescharacteristic
155#65245C2211yescharacteristic
156#65245C2211yescharacteristic
157#65245C2211yescharacteristic
158#65245C2211yescharacteristic
159#65245C2211yescharacteristic, complemented
160#65245C2211yescharacteristic, complemented
161#65245C2211yescharacteristic, complemented
162#65244C2211yescharacteristic
163#65244C2211yescharacteristic
164#65244C2211yescharacteristic
165#65244C2211yescharacteristic
166#65241C2211yescharacteristic, complemented
167#65241C2211yescharacteristic, complemented
168#65241C2211yescharacteristic, complemented
169#65240C2211yescharacteristic, complemented
170#65240C2211yescharacteristic, complemented
171#65239C2211yescharacteristic, complemented
172#65239C2211yescharacteristic, complemented
173#65238C2211yescharacteristic, complemented
174#65237C2211yescharacteristic, complemented
175#65235C2211yescharacteristic, complemented
176#65235C2211yescharacteristic, complemented
177#65235C2211yescharacteristic, complemented
178#65233C2211yescharacteristic, complemented
179#65233C2211yescharacteristic, complemented
180#65233C2211yescharacteristic, complemented
181#65232C2211yescharacteristic, complemented
182#65231C2211yescharacteristic, complemented
183#65229C2211yescharacteristic, complemented
184C4×#685C2211yescharacteristic
185C4×#685C2211yescharacteristic, complemented
186#65226C2211yescharacteristic, complemented
187#65225C2211yescharacteristic, complemented
188#65222C2211yescharacteristic, complemented
189#34991—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C22×C5×Q8C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C23×Dic5C2311yescharacteristic
207C23×Dic5C2311yescharacteristic
208C23×Dic5C2311yescharacteristic
209C23×Dic5C2311yescharacteristic
210C2×D4×D5—24no—
211C2×D4×D5—24no—
212C2×D4×D5—24no—
213C22×D20C2311yescharacteristic
214C22×C4×D5—24no—
215C22×C4×D5—24no—
216C22×C4×D5—42no—
217C22×C4×D5—42no—
218C22×C4×D5—42no—
219C22×C4×D5—42no—
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×C4×D5C2311yescharacteristic
229C5×#126—24no—
230C5×#126—24no—
231C5×#125—24no—
232C5×#125—24no—
233C5×#123—24no—
234C5×#123—24no—
235C5×#123—24no—
236C5×#123—24no—
237C5×C22⋊Q8—24no—
238C5×C22⋊Q8—24no—
239C5×C22⋊Q8—24no—
240C5×#121—24no—
241C4×C5×D4—24no—
242C4×C5×D4D418yescomplemented
243C2×C5×C4⋊C4—24no—
244C2×C5×C4⋊C4C2311yescharacteristic
245C2×C5×C4⋊C4C2311yescharacteristic
246C2×C5×C4⋊C4C2311yescharacteristic
247C2×C5×C4⋊C4C2311yescharacteristic
248C2×C5×C4⋊C4C2311yescharacteristic
249C2×C5×C4⋊C4C2311yescharacteristic
250C2×C5×C4⋊C4C2311yescharacteristic
251C2×C5×C4⋊C4C2311yescharacteristic
252C2×C5×C4⋊C4C2311yescharacteristic
253C2×C5×C4⋊C4C2311yescharacteristic
254C2×C5×C4⋊C4C2311yescharacteristic
255C2×C5×C4⋊C4C2311yescharacteristic
256C2×C5×C4⋊C4C2311yescharacteristic
257C2×C5×C4⋊C4C2311yescharacteristic
258C2×C5×C22⋊C4C2311yescharacteristic
259C2×C5×C22⋊C4C2311yescharacteristic
260C2×C5×C22⋊C4C2311yescharacteristic
261C2×C5×C22⋊C4C2311yescharacteristic
262C2×C5×C22⋊C4C2311yescharacteristic
263C2×C5×C22⋊C4C2311yescharacteristic
264C2×C5×C22⋊C4C2311yescharacteristic
265C2×C5×C22⋊C4C2311yescharacteristic
266C2×C5×C22⋊C4C2311yescharacteristic
267C2×C5×C22⋊C4C2311yescharacteristic
268C2×C42×C5C2311yescharacteristic
269C2×C42×C5C2311yescharacteristic
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#4092—42no—
284#4092—42no—
285#4085—24no—
286#4083—24no—
287#4083—42no—
288#4081—42no—
289D4×Dic5—24no—
290#4075—24no—
291C4×C22⋊D5—24no—
292C4×C22⋊D5—24no—
293C4×C22⋊D5—42no—
294C4×C22⋊D5—42no—
295C2×#685—24no—
296C2×#685—42no—
297C2×#685C2311yescharacteristic
298C2×#685C2311yescharacteristic
299C2×#685C2311yescharacteristic
300C2×#685C2311yescharacteristic
301C2×#685C2311yescharacteristic
302C2×#685C2311yescharacteristic
303C2×#685C2311yescharacteristic
304C2×#685C2311yescharacteristic
305C2×#685C2311yescharacteristic
306C2×#685C2311yescharacteristic
307C2×#685C2311yescharacteristic
308C2×#685C2311yescharacteristic
309C2×#685C2311yescharacteristic
310C2×#685C2311yescharacteristic
311C2×#685C2311yescharacteristic
312C2×#685C2311yescharacteristic
313C2×#685C2311yescharacteristic
314C2×#685C2311yescharacteristic
315C2×#685C2311yescharacteristic
316C2×#685C2311yescharacteristic
317C2×#685C2311yescharacteristic
318C2×#685C2311yescharacteristic
319C2×#685C2311yescharacteristic
320C2×#685C2311yescharacteristic
321C2×#685C2311yescharacteristic
322C2×C4⋊Dic5C2311yescharacteristic
323C2×C4⋊Dic5C2311yescharacteristic
324C2×C4⋊Dic5C2311yescharacteristic
325C2×C4⋊Dic5C2311yescharacteristic
326C2×C4⋊Dic5C2311yescharacteristic
327C2×#683—42no—
328C2×#683C2311yescharacteristic
329C2×#683C2311yescharacteristic
330C2×#683C2311yescharacteristic
331C2×#683C2311yescharacteristic
332C2×#683C2311yescharacteristic
333C2×#683C2311yescharacteristic
334C2×#683C2311yescharacteristic
335C2×#683C2311yescharacteristic
336C2×#683C2311yescharacteristic
337C2×#683C2311yescharacteristic
338C2×#683C2311yescharacteristic
339C2×#683C2311yescharacteristic
340C2×#683C2311yescharacteristic
341C2×#683C2311yescharacteristic
342C2×#683C2311yescharacteristic
343C2×C4×Dic5C2311yescharacteristic
344C2×C4×Dic5C2311yescharacteristic
345C2×C4×Dic5C2311yescharacteristic
346C2×C4×Dic5C2311yescharacteristic
347C2×C4×Dic5C2311yescharacteristic
348#4039—24no—
349D5×C4⋊C4—24no—
350#4027—24no—
351#4027—24no—
352D5×C22⋊C4—24no—
353D5×C22⋊C4—24no—
354C4×D20—24no—
355C42×D5—24no—
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
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×#539D511yescharacteristic, complemented
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×#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×Q8—22no—
444C2×C5×Q8—41no—
445C2×C5×Q8—41no—
446C2×C5×D4—22no—
447C2×C5×D4—22no—
448C2×C5×D4—22no—
449C2×C5×D4—22no—
450C2×C5×D4—22no—
451C2×C5×D4—22no—
452C2×C5×D4—41no—
453C2×C5×D4—41no—
454C2×C5×D4C2×D414yes—
455C22×C4×C5—22no—
456C22×C4×C5—22no—
457C22×C4×C5—22no—
458C22×C4×C5—22no—
459C22×C4×C5—22no—
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×C5—41no—
467C22×C4×C5—41no—
468C22×C4×C5C2×D414yes—
469C22×C4×C5C2×D414yes—
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
480C22×C4×C5C2411yescharacteristic
481C22×C4×C5C2411yescharacteristic
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—41no—
493C2×C22⋊D5—41no—
494C2×C22⋊D5—41no—
495C2×C22⋊D5—41no—
496C2×C22⋊D5#4114yes—
497C22×Dic5—22no—
498C22×Dic5—22no—
499C22×Dic5—22no—
500C22×Dic5—22no—
501C22×Dic5—22no—
502C22×Dic5—22no—
503C22×Dic5—41no—
504C22×Dic5—41no—
505C22×Dic5—41no—
506C22×Dic5—41no—
507C22×Dic5—41no—
508C22×Dic5—41no—
509C22×Dic5C2411yescharacteristic
510C22×Dic5C2411yescharacteristic
511C22×Dic5C2411yescharacteristic
512C22×Dic5C2411yescharacteristic
513C22×Dic5C2411yescharacteristic
514C22×Dic5C2411yescharacteristic
515C22×Dic5C2411yescharacteristic
516C22×Dic5C2411yescharacteristic
517C22×Dic5C2411yescharacteristic
518C22×Dic5C2411yescharacteristic
519C22×Dic5C2411yescharacteristic
520C22×Dic5C2411yescharacteristic
521C22×Dic5C2411yescharacteristic
522D4×D5—232no—
523C2×D20—22no—
524C2×D20—22no—
525C2×D20—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—22no—
541C2×C4×D5—22no—
542C2×C4×D5—22no—
543C2×C4×D5—22no—
544C2×C4×D5—416no—
545C2×C4×D5—416no—
546C2×C4×D5—41no—
547C2×C4×D5—41no—
548C2×C4×D5—41no—
549C2×C4×D5—41no—
550C2×C4×D5—41no—
551C2×C4×D5—41no—
552C2×C4×D5—41no—
553C2×C4×D5—41no—
554C2×C4×D5—41no—
555C5×C4⋊C4—22no—
556C5×C4⋊C4—22no—
557C5×C4⋊C4—22no—
558C5×C4⋊C4—22no—
559C5×C4⋊C4—22no—
560C5×C4⋊C4—22no—
561C5×C4⋊C4—22no—
562C5×C4⋊C4—22no—
563C5×C4⋊C4—22no—
564C5×C4⋊C4—22no—
565C5×C4⋊C4—22no—
566C5×C4⋊C4—22no—
567C5×C4⋊C4—22no—
568C5×C4⋊C4C2×D414yes—
569C5×C22⋊C4—22no—
570C5×C22⋊C4—22no—
571C5×C22⋊C4—22no—
572C5×C22⋊C4—22no—
573C5×C22⋊C4—22no—
574C5×C22⋊C4—22no—
575C5×C22⋊C4—22no—
576C5×C22⋊C4—22no—
577C5×C22⋊C4C2×D414yes—
578C5×C22⋊C4C2×D414yes—
579C42×C5—22no—
580C42×C5C2×D414yes—
581C22⋊Dic5—22no—
582C22⋊Dic5—22no—
583C22⋊Dic5—22no—
584C22⋊Dic5—22no—
585C22⋊Dic5—22no—
586C22⋊Dic5—22no—
587C22⋊Dic5—41no—
588C22⋊Dic5—41no—
589C22⋊Dic5—41no—
590C22⋊Dic5—41no—
591C22⋊Dic5—41no—
592C22⋊Dic5—41no—
593C22⋊Dic5—41no—
594#685—22no—
595#685—22no—
596#685—22no—
597#685—22no—
598#685—22no—
599#685—22no—
600#685—22no—
601#685—22no—
602#685—22no—
603#685—22no—
604#685—22no—
605#685—22no—
606#685—22no—
607#685—22no—
608#685—22no—
609#685—22no—
610#685—22no—
611#685—41no—
612#685—41no—
613#685—41no—
614#685—41no—
615#685—41no—
616#685—41no—
617#685—41no—
618#685—41no—
619C4⋊Dic5—22no—
620C4⋊Dic5—41no—
621C4⋊Dic5—41no—
622C4⋊Dic5—41no—
623C4⋊Dic5—41no—
624#683—22no—
625#683—22no—
626#683—22no—
627#683—22no—
628#683—22no—
629#683—22no—
630#683—22no—
631#683—22no—
632#683—41no—
633#683—41no—
634#683—41no—
635#683—41no—
636#683—41no—
637#683—41no—
638#683—41no—
639C4×Dic5—22no—
640C4×Dic5—22no—
641C4×Dic5—22no—
642C4×Dic5—41no—
643C4×Dic5—41no—
644C23×D4—51no—
645C24×C4—51no—
646C24×C4—51no—
647#539—28no—
648C2×#126C2×D511yescharacteristic, complemented
649C2×#126C2×D511yescharacteristic, complemented
650C2×#125C2×D511yescharacteristic, complemented
651C2×#125C2×D511yescharacteristic, complemented
652C2×#123—51no—
653C2×#123—51no—
654C2×#123C2×D511yescharacteristic
655C2×#123C2×D511yescharacteristic, complemented
656C2×#123C2×D511yescharacteristic, complemented
657C2×#123C2×D511yescharacteristic, complemented
658C2×C22⋊Q8—51no—
659C2×C22⋊Q8—51no—
660C2×C22⋊Q8C2×D511yescharacteristic, complemented
661C2×C22⋊Q8C2×D511yescharacteristic, complemented
662C2×C22⋊Q8C2×D511yescharacteristic, complemented
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⋊C4C2×D511yescharacteristic, complemented
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#386—51no—
753#386—51no—
754#386—51no—
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#385—51no—
780#385—51no—
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#379—51no—
796C4×C22⋊C4—51no—
797C4×C22⋊C4—51no—
798C4×C22⋊C4—51no—
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—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×C5C22×D412yes—
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×D5C2×#4112yes—
854C22×D5C2×#4112yes—
855C22×D5C2×#4112yes—
856C22×D5H(5,𝔽2)12yes—
857C22×D52−1+412yes—
858C5×Q8—82no—
859C5×D4—28no—
860C5×D4—44no—
861C5×D4—82no—
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—44no—
894C2×C4×C5—44no—
895C2×C4×C5—44no—
896C2×C4×C5—82no—
897C2×C4×C5—82no—
898C2×C4×C5C22×D412yes—
899C2×C4×C5C22×D412yes—
900C2×C4×C5C22×D412yes—
901C2×C4×C5C22×D412yes—
902C2×C4×C5C22×D412yes—
903C22⋊D5—28no—
904C22⋊D5—28no—
905C22⋊D5—44no—
906C22⋊D5—44no—
907C22⋊D5—82no—
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—44no—
946C2×Dic5—44no—
947C2×Dic5—44no—
948C2×Dic5—82no—
949C2×Dic5C2×#4112yes—
950C2×Dic5H(5,𝔽2)12yes—
951D20—28no—
952C4×D5—28no—
953C4×D5—28no—
954C4×D5—44no—
955C4×D5—44no—
956C4×D5—44no—
957C4×D5—44no—
958C4×D5—44no—
959C4×D5—44no—
960C4×D5—44no—
961C25—51no—
962C25—51no—
963C22×Q8C22×D511yescharacteristic
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—24no—
1001#126—24no—
1002#125—24no—
1003#125—24no—
1004#123—24no—
1005#123—24no—
1006#123—24no—
1007#123—24no—
1008#123—104no—
1009#123—202no—
1010C22⋊Q8—24no—
1011C22⋊Q8—24no—
1012C22⋊Q8—24no—
1013C22⋊Q8—202no—
1014C22⋊Q8—202no—
1015#121—24no—
1016#121—104no—
1017#120—104no—
1018#120—202no—
1019C4×D4—24no—
1020C4×D4—104no—
1021C4×D4—104no—
1022C4×D4—104no—
1023C4×D4—104no—
1024C4×D4—104no—
1025C4×D4—104no—
1026C4×D4—104no—
1027C4×D4—202no—
1028C4×D4—202no—
1029C4×D4C22⋊D518yescomplemented
1030C2×C4⋊C4—24no—
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—104no—
1052C2×C4⋊C4—202no—
1053C2×C4⋊C4C22×D511yescharacteristic
1054C2×C4⋊C4C22×D511yescharacteristic
1055C2×C4⋊C4C22×D511yescharacteristic
1056C2×C4⋊C4C22×D511yescharacteristic
1057C2×C4⋊C4C22×D511yescharacteristic
1058C2×C4⋊C4C22×D511yescharacteristic
1059C2×C4⋊C4C22×D511yescharacteristic
1060C2×C4⋊C4C22×D511yescharacteristic
1061C2×C4⋊C4C22×D511yescharacteristic
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#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—
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—22no—
1218C4×C5—22no—
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—41no—
1229Dic5—41no—
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—22no—
1260C2×Q8—41no—
1261C2×Q8—41no—
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×D4C2×C22⋊D514yes—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
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—51no—
1304C22×C4—51no—
1305C22×C4—51no—
1306C22×C4—51no—
1307C22×C4—51no—
1308C22×C4—51no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—51no—
1312C22×C4—51no—
1313C22×C4—51no—
1314C22×C4—51no—
1315C22×C4—51no—
1316C22×C4—102no—
1317C22×C4—102no—
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—201no—
1341C22×C4—201no—
1342C22×C4—201no—
1343C22×C4—201no—
1344C22×C4—201no—
1345C22×C4—201no—
1346C22×C4—201no—
1347C22×C4—201no—
1348C22×C4—201no—
1349C22×C4—2016no—
1350C22×C4—2016no—
1351C22×C4—201no—
1352C22×C4—201no—
1353C22×C4—201no—
1354C22×C4—201no—
1355C22×C4—201no—
1356C22×C4—201no—
1357C22×C4C2×C22⋊D514yes—
1358C22×C4C2×C22⋊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—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
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—201no—
1394C4⋊C4—201no—
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⋊C4C2×C22⋊D514yes—
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—102no—
1414C22⋊C4—102no—
1415C22⋊C4—102no—
1416C22⋊C4—102no—
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—201no—
1437C22⋊C4—201no—
1438C22⋊C4—201no—
1439C22⋊C4—201no—
1440C22⋊C4—201no—
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⋊C4C2×C22⋊D514yes—
1452C22⋊C4C2×C22⋊D514yes—
1453C42—22no—
1454C42—102no—
1455C42—102no—
1456C42—102no—
1457C42—201no—
1458C42—201no—
1459C42C2×C22⋊D514yes—
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—
1525C23D5×#4112yes—
1526C23D5×#4112yes—
1527C23C22×C22⋊D512yes—
1528C23C22×C22⋊D512yes—
1529C23C24×D511yescharacteristic
1530Q8—82no—
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—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—52no—
1575C2×C4—52no—
1576C2×C4—82no—
1577C2×C4—82no—
1578C2×C4—108no—
1579C2×C4—108no—
1580C2×C4—101no—
1581C2×C4—101no—
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—204no—
1618C2×C4—204no—
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—402no—
1628C2×C4C22×C22⋊D512yes—
1629C2×C4C22×C22⋊D512yes—
1630C2×C4C22×C22⋊D512yes—
1631C2×C4C22×C22⋊D512yes—
1632C2×C4C22×C22⋊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#6616214yes—
1678C22C2×D5×#4111yescharacteristic
1679C22C2×D5×#4111yescharacteristic
1680C22D5×H(5,𝔽2)11yescharacteristic
1681C22D5×H(5,𝔽2)11yescharacteristic
1682C22D5×2−1+411yescharacteristic
1683C22#6628711yescharacteristic
1684C22C23×C22⋊D511yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—102no—
1698C4—102no—
1699C4—201no—
1700C4—201no—
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—
1716C2#1061832911yescharacteristic
1717C2D5×#53911yescharacteristic
1718C2#1061835611yescharacteristic
1719C2#1061835711yescharacteristic
1720C2C2×#6616211yescharacteristic
1721C2#1061918511yescharacteristic
1722C2#1061919611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC2×C5×#539C2
prime radical#10614433C2
hypercenterC2×#539D5
hypocenterC5#34991
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C2×C5×#539C2semidirect
2. C2×C4×D4×D5C2semidirect
3. #10614851C2semidirect
4. #10614843C2semidirect
5. #10614836C2semidirect
6. #10614812C2semidirect
7. #10614803C2semidirect
8. #10614797C2semidirect
9. #10614790C2semidirect
10. #10614763C2semidirect
11. #10614643C2semidirect
12. #10614635C2semidirect
13. #10614629C2semidirect
14. #10614627C2semidirect
15. #10614626C2semidirect
16. #10614624C2semidirect
17. #10614577C2semidirect
18. #10614575C2semidirect
19. #10614565C2semidirect
20. #10614554C2semidirect
21. #10614549C2semidirect
22. #10614548C2semidirect
23. #10614547C2semidirect
24. #10614495C2semidirect
26. #10614386C2semidirect
27. C4×#4083C2semidirect
28. #10614058C2semidirect
29. #10614055C2semidirect
30. C2×#65278C2semidirect
31. #10613889C2semidirect
36. C2×C5×#126C22semidirect
37. C2×C5×#126C22semidirect
38. C2×C5×#125C22semidirect
39. C2×C5×#125C22semidirect
41. C2×C5×#123C22semidirect
42. C2×C5×#123C22semidirect
43. C2×C5×#123C22semidirect
44. C2×C5×C22⋊Q8C22semidirect
45. C2×C5×C22⋊Q8C22semidirect
46. C2×C5×C22⋊Q8C22semidirect
49. C2×C4×C5×D4C22semidirect
50. C22×C5×C4⋊C4C22semidirect
52. C2×#4092C22semidirect
56. C2×#4081C22semidirect
62. C2×C4×C22⋊D5C22semidirect
65. C22×#683C22semidirect
75. #65520C22semidirect
76. #65518C22semidirect
78. #65511C22semidirect
81. #65509C22semidirect
82. #65509C22semidirect
84. #65502C22semidirect
85. #65501C22semidirect
86. #65500C22semidirect
87. #65500C22semidirect
88. #65499C22semidirect
89. #65499C22semidirect
90. C4×C22⋊Dic5C22semidirect
91. C2×#3963C22semidirect
92. C2×#3963C22semidirect
93. #65283C22semidirect
94. #65283C22semidirect
95. #65283C22semidirect
96. #65282C22semidirect
97. #65282C22semidirect
98. #65282C22semidirect
99. #65281C22semidirect
100. #65281C22semidirect
104. #65279C22semidirect
105. #65279C22semidirect
116. #65278C22semidirect
117. #65278C22semidirect
118. #65278C22semidirect
119. #65278C22semidirect
120. #65278C22semidirect
121. #65278C22semidirect
122. #65278C22semidirect
123. #65278C22semidirect
124. #65278C22semidirect
128. #65276C22semidirect
129. #65275C22semidirect
130. #65273C22semidirect
131. #65272C22semidirect
132. #65272C22semidirect
133. #65270C22semidirect
134. #65270C22semidirect
135. #65269C22semidirect
136. #65267C22semidirect
137. #65267C22semidirect
138. #65267C22semidirect
139. #65267C22semidirect
140. #65267C22semidirect
141. #65267C22semidirect
142. #65267C22semidirect
143. #65262C22semidirect
144. #65262C22semidirect
145. #65261C22semidirect
146. #65261C22semidirect
147. #65250C22semidirect
148. #65250C22semidirect
149. #65250C22semidirect
159. #65245C22semidirect
160. #65245C22semidirect
161. #65245C22semidirect
166. #65241C22semidirect
167. #65241C22semidirect
168. #65241C22semidirect
169. #65240C22semidirect
170. #65240C22semidirect
171. #65239C22semidirect
172. #65239C22semidirect
173. #65238C22semidirect
174. #65237C22semidirect
175. #65235C22semidirect
176. #65235C22semidirect
177. #65235C22semidirect
178. #65233C22semidirect
179. #65233C22semidirect
180. #65233C22semidirect
181. #65232C22semidirect
182. #65231C22semidirect
183. #65229C22semidirect
185. C4×#685C22semidirect
186. #65226C22semidirect
187. #65225C22semidirect
188. #65222C22semidirect
242. C4×C5×D4D4semidirect
392. C2×#539D5semidirect
648. C2×#126C2×D5semidirect
649. C2×#126C2×D5semidirect
650. C2×#125C2×D5semidirect
651. C2×#125C2×D5semidirect
655. C2×#123C2×D5semidirect
656. C2×#123C2×D5semidirect
657. C2×#123C2×D5semidirect
660. C2×C22⋊Q8C2×D5semidirect
661. C2×C22⋊Q8C2×D5semidirect
662. C2×C22⋊Q8C2×D5semidirect
678. C2×C4×D4C2×D5semidirect
681. C22×C4⋊C4C2×D5semidirect
1029. C4×D4C22⋊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×C5×#5392
C2×C4×D4×D52
#106148512
#106148432
#106148362
#106148122
#106148032
#106147972
#106147902
#106147632
#106146432
#106146352
#106146292
#106146272
#106146262
#106146242
#106145772
#106145752
#106145652
#106145542
#106145492
#106145482
#106145472
#106144952
#106144332
#106143862
C4×#40832
#106140582
#106140552
C2×#652782
#106138892
#349915