Finite Group Databasebeta

← #12272292

Subgroups — #12272292

Order 1280.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#538C211yesmaximal, characteristic, complemented
2C2×#65898C211yesmaximal, characteristic, complemented
3#10614841C211yesmaximal, characteristic, complemented
4#10614835C211yesmaximal, characteristic, complemented
5#10614821C211yesmaximal, characteristic, complemented
6#10614816C211yesmaximal, characteristic, complemented
7#10614730C211yesmaximal, characteristic, complemented
8#10614725C211yesmaximal, characteristic, complemented
9#10614712C211yesmaximal, characteristic, complemented
10#10614699C211yesmaximal, characteristic, complemented
11#10614622C211yesmaximal, characteristic, complemented
12#10614599C211yesmaximal, characteristic, complemented
13#10614594C211yesmaximal, characteristic, complemented
14#10614583C211yesmaximal, characteristic, complemented
15#10614512C211yesmaximal, characteristic, complemented
16#10614502C211yesmaximal, characteristic, complemented
17#10614443C211yesmaximal, characteristic, complemented
18#10614429C211yesmaximal, characteristic, complemented
19#10614404C211yesmaximal, characteristic, complemented
20#10614401C211yesmaximal, characteristic, complemented
21#10614390C211yesmaximal, characteristic, complemented
22#10614376C211yesmaximal, characteristic, complemented
23#10614322C211yesmaximal, characteristic, complemented
24#10614321C211yesmaximal, characteristic, complemented
25#10614320C211yesmaximal, characteristic, complemented
26#10614318C211yesmaximal, characteristic, complemented
27#10614057C211yesmaximal, characteristic, complemented
28C4×#4085C211yesmaximal, characteristic, complemented
29C4×D4×Dic5C211yesmaximal, characteristic, complemented
30#10613827C211yesmaximal, characteristic, complemented
31C2×#65234C211yesmaximal, characteristic, complemented
32C5×#538—28no—
33C2×C5×#126C2211yescharacteristic
34C2×C5×#126C2211yescharacteristic
35C2×C5×#124C2211yescharacteristic
36C2×C5×#124C2211yescharacteristic
37C2×C5×#123C2211yescharacteristic
38C2×C5×#123C2211yescharacteristic
39C2×C5×C22⋊Q8C2211yescharacteristic
40C2×C5×#121C2211yescharacteristic
41C2×C5×#121C2211yescharacteristic
42C2×C5×#121C2211yescharacteristic
43C2×C5×#120C2211yescharacteristic
44C2×C5×#120C2211yescharacteristic
45C2×C4×C5×D4C2211yescharacteristic
46C2×C4×C5×D4C2211yescharacteristic
47C22×C5×C22⋊C4C2211yescharacteristic
48C2×#4099C2211yescharacteristic
49C22×C22⋊Dic5C2211yescharacteristic
50C22×C22⋊Dic5C2211yescharacteristic
51C2×#4085C2211yescharacteristic
52C2×#4085C2211yescharacteristic
53C2×#4085C2211yescharacteristic
54C2×#4082C2211yescharacteristic
55C2×#4081C2211yescharacteristic
56C2×#4081C2211yescharacteristic
57C2×D4×Dic5C2211yescharacteristic
58C2×D4×Dic5C2211yescharacteristic
59C2×#4075C2211yescharacteristic, complemented
60C2×C4×C22⋊D5C2211yescharacteristic
61C2×C4×C22⋊D5C2211yescharacteristic, complemented
62C2×#4070C2211yescharacteristic, complemented
63C22×#683C2211yescharacteristic
64C22×C4×Dic5C2211yescharacteristic
65C22×C4×Dic5C2211yescharacteristic, complemented
66#65898—28no—
67C2×#4042C2211yescharacteristic, complemented
68C2×#4035C2211yescharacteristic, complemented
69C2×#4032C2211yescharacteristic
70C2×#4029C2211yescharacteristic, complemented
71C2×#4025C2211yescharacteristic, complemented
72C2×#4024C2211yescharacteristic
73C2×#4022C2211yescharacteristic, complemented
74C2×#4016C2211yescharacteristic, complemented
75#65536C2211yescharacteristic
76#65520C2211yescharacteristic, complemented
77#65519C2211yescharacteristic, complemented
78#65519C2211yescharacteristic, complemented
79#65518C2211yescharacteristic, complemented
80#65512C2211yescharacteristic
81#65512C2211yescharacteristic
82#65512C2211yescharacteristic
83#65512C2211yescharacteristic, complemented
84#65511C2211yescharacteristic
85#65511C2211yescharacteristic
86#65511C2211yescharacteristic
87#65511C2211yescharacteristic
88#65511C2211yescharacteristic
89#65511C2211yescharacteristic, complemented
90#65510C2211yescharacteristic
91#65510C2211yescharacteristic
92#65510C2211yescharacteristic
93#65509C2211yescharacteristic
94#65509C2211yescharacteristic
95#65509C2211yescharacteristic
96#65509C2211yescharacteristic
97#65509C2211yescharacteristic
98#65509C2211yescharacteristic, complemented
99#65509C2211yescharacteristic, complemented
100#65502C2211yescharacteristic
101#65499C2211yescharacteristic
102#65499C2211yescharacteristic, complemented
103#65499C2211yescharacteristic, complemented
104C4×C22⋊Dic5C2211yescharacteristic
105C4×C22⋊Dic5C2211yescharacteristic, complemented
106C4×C22⋊Dic5C2211yescharacteristic, complemented
107C2×#3963C2211yescharacteristic
108C2×#3963C2211yescharacteristic
109#65282C2211yescharacteristic, complemented
110#65279C2211yescharacteristic, complemented
111#65279C2211yescharacteristic, complemented
112#65279C2211yescharacteristic, complemented
113#65279C2211yescharacteristic, complemented
114#65275C2211yescharacteristic, complemented
115#65275C2211yescharacteristic, complemented
116#65273C2211yescharacteristic, complemented
117#65273C2211yescharacteristic, complemented
118#65272C2211yescharacteristic, complemented
119#65269C2211yescharacteristic, complemented
120#65268C2211yescharacteristic, complemented
121#65266C2211yescharacteristic, complemented
122C4⋊C4×Dic5C2211yescharacteristic, complemented
123C4⋊C4×Dic5C2211yescharacteristic, complemented
124#65263C2211yescharacteristic, complemented
125#65261C2211yescharacteristic, complemented
126#65261C2211yescharacteristic, complemented
127#65261C2211yescharacteristic, complemented
128#65261C2211yescharacteristic, complemented
129#65261C2211yescharacteristic, complemented
130#65261C2211yescharacteristic, complemented
131#65250C2211yescharacteristic
132#65250C2211yescharacteristic, complemented
133#65247C2211yescharacteristic
134#65247C2211yescharacteristic, complemented
135#65246C2211yescharacteristic
136#65246C2211yescharacteristic
137#65246C2211yescharacteristic
138#65246C2211yescharacteristic
139#65246C2211yescharacteristic
140#65246C2211yescharacteristic, complemented
141#65245C2211yescharacteristic
142#65245C2211yescharacteristic
143#65242C2211yescharacteristic
144#65241C2211yescharacteristic, complemented
145#65241C2211yescharacteristic, complemented
146#65238C2211yescharacteristic
147#65238C2211yescharacteristic
148#65237C2211yescharacteristic
149#65237C2211yescharacteristic
150#65237C2211yescharacteristic
151#65237C2211yescharacteristic, complemented
152#65236C2211yescharacteristic
153#65235C2211yescharacteristic
154#65234C2211yescharacteristic
155#65234C2211yescharacteristic
156#65234C2211yescharacteristic
157#65234C2211yescharacteristic
158#65234C2211yescharacteristic
159#65234C2211yescharacteristic
160#65234C2211yescharacteristic
161#65234C2211yescharacteristic
162#65234C2211yescharacteristic
163#65234C2211yescharacteristic
164#65234C2211yescharacteristic
165#65234C2211yescharacteristic
166#65234C2211yescharacteristic
167#65234C2211yescharacteristic
168#65234C2211yescharacteristic
169#65234C2211yescharacteristic, complemented
170#65234C2211yescharacteristic, complemented
171#65234C2211yescharacteristic, complemented
172#65234C2211yescharacteristic, complemented
173#65234C2211yescharacteristic, complemented
174#65233C2211yescharacteristic
175#65233C2211yescharacteristic
176#65232C2211yescharacteristic
177#65231C2211yescharacteristic
178#65231C2211yescharacteristic, complemented
179C22⋊C4×Dic5C2211yescharacteristic
180C22⋊C4×Dic5C2211yescharacteristic
181C22⋊C4×Dic5C2211yescharacteristic, complemented
182C22⋊C4×Dic5C2211yescharacteristic, complemented
183C4×#685C2211yescharacteristic, complemented
184C4×C4⋊Dic5C2211yescharacteristic, complemented
185#65222C2211yescharacteristic, complemented
186#65222C2211yescharacteristic, complemented
187C4×#683C2211yescharacteristic, complemented
188C42×Dic5C2211yescharacteristic, complemented
189#35009—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C22×C5×Q8C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C22×C5×D4C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C23×Dic5C2311yescharacteristic
209C23×Dic5C2311yescharacteristic
210C23×Dic5C2311yescharacteristic
211C23×Dic5C2311yescharacteristic
212C23×Dic5C2311yescharacteristic
213C23×Dic5C2311yescharacteristic
214C22×C4×D5C2311yescharacteristic
215C22×Dic10C2311yescharacteristic
216C5×#126—24no—
217C5×#126—24no—
218C5×#124—24no—
219C5×#124—24no—
220C5×#123—24no—
221C5×#123—24no—
222C5×C22⋊Q8—24no—
223C5×#121—24no—
224C5×#121—24no—
225C5×#121—24no—
226C5×#120—24no—
227C5×#120—24no—
228C4×C5×D4—24no—
229C4×C5×D4D418yescomplemented
230C2×C5×C4⋊C4C2311yescharacteristic
231C2×C5×C4⋊C4C2311yescharacteristic
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4—24no—
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×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4C2311yescharacteristic
251C2×C42×C5C2311yescharacteristic
252C2×C42×C5C2311yescharacteristic
253#4099—24no—
254C2×C22⋊Dic5—24no—
255C2×C22⋊Dic5—42no—
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
272C2×C22⋊Dic5C2311yescharacteristic
273C2×C22⋊Dic5C2311yescharacteristic
274C2×C22⋊Dic5C2311yescharacteristic
275C2×C22⋊Dic5C2311yescharacteristic
276C2×C22⋊Dic5C2311yescharacteristic
277C2×C22⋊Dic5C2311yescharacteristic
278C2×C22⋊Dic5C2311yescharacteristic
279C2×C22⋊Dic5C2311yescharacteristic
280C2×C22⋊Dic5C2311yescharacteristic
281C2×C22⋊Dic5C2311yescharacteristic
282C2×C22⋊Dic5C2311yescharacteristic
283C2×C22⋊Dic5C2311yescharacteristic
284C2×C22⋊Dic5C2311yescharacteristic
285#4085—24no—
286#4085—24no—
287#4085—42no—
288#4082—42no—
289#4081—24no—
290#4081—24no—
291D4×Dic5—24no—
292D4×Dic5—24no—
293#4075—24no—
294C4×C22⋊D5—24no—
295C4×C22⋊D5—42no—
296C2×#685C2311yescharacteristic
297C2×#685C2311yescharacteristic
298C2×#685C2311yescharacteristic
299C2×#685C2311yescharacteristic
300C2×#685C2311yescharacteristic
301C2×#685C2311yescharacteristic
302C2×#685C2311yescharacteristic
303C2×#685C2311yescharacteristic
304C2×#685C2311yescharacteristic
305C2×C4⋊Dic5C2311yescharacteristic
306C2×C4⋊Dic5C2311yescharacteristic
307C2×C4⋊Dic5C2311yescharacteristic
308C2×C4⋊Dic5C2311yescharacteristic
309C2×C4⋊Dic5C2311yescharacteristic
310#4070—24no—
311C2×#683—24no—
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×C4×Dic5—42no—
332C2×C4×Dic5—42no—
333C2×C4×Dic5C2311yescharacteristic
334C2×C4×Dic5C2311yescharacteristic
335C2×C4×Dic5C2311yescharacteristic
336C2×C4×Dic5C2311yescharacteristic
337C2×C4×Dic5C2311yescharacteristic
338C2×C4×Dic5C2311yescharacteristic
339C2×C4×Dic5C2311yescharacteristic
340C2×C4×Dic5C2311yescharacteristic
341C2×C4×Dic5C2311yescharacteristic
342C2×C4×Dic5C2311yescharacteristic
343C2×C4×Dic5C2311yescharacteristic
344C2×C4×Dic5C2311yescharacteristic
345C2×C4×Dic5C2311yescharacteristic
346#4042—24no—
347#4035—24no—
348#4032—24no—
349#4029—24no—
350#4025—24no—
351#4024—24no—
352#4022—24no—
353#4016—24no—
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
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
386C2×#539—51no—
387C2×#538D511yescharacteristic, complemented
388#2861—51no—
389#2860—51no—
390#2854—51no—
391#2850—51no—
392#2664—51no—
393#2663—51no—
394#2662—51no—
395#2661—51no—
396#2560—51no—
397#2559—51no—
398#2558—51no—
399#2557—51no—
400#2549—51no—
401#2543—51no—
402#2539—51no—
403#2534—51no—
404#2521—51no—
405#2519—51no—
406#2488—51no—
407#2472—51no—
408#2464—51no—
409#2461—51no—
410#2425—51no—
411#2424—51no—
412#2322—51no—
413#2321—51no—
414C4×#121—51no—
415C2×#388—51no—
416C42×D4—51no—
417C24×C5—22no—
418C24×C5—22no—
419C24×C5—22no—
420C24×C5—41no—
421C24×C5—41no—
422C24×C5—41no—
423C24×C5—41no—
424C24×C5C2411yescharacteristic
425C24×C5C2411yescharacteristic
426C24×C5C2411yescharacteristic
427C24×C5C2411yescharacteristic
428C24×C5C2411yescharacteristic
429C23×D5C2411yescharacteristic
430C2×C5×Q8—22no—
431C2×C5×Q8—41no—
432C2×C5×Q8—41no—
433C2×C5×D4—22no—
434C2×C5×D4—22no—
435C2×C5×D4—22no—
436C2×C5×D4—22no—
437C2×C5×D4—22no—
438C2×C5×D4—22no—
439C2×C5×D4—22no—
440C2×C5×D4—22no—
441C2×C5×D4—22no—
442C2×C5×D4—22no—
443C2×C5×D4—41no—
444C2×C5×D4—41no—
445C2×C5×D4—41no—
446C2×C5×D4—41no—
447C2×C5×D4—41no—
448C2×C5×D4—41no—
449C2×C5×D4—41no—
450C2×C5×D4—41no—
451C2×C5×D4—41no—
452C2×C5×D4—41no—
453C2×C5×D4C2×D414yes—
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×C5C2×D414yes—
465C22×C4×C5C2×D414yes—
466C22×C4×C5C2411yescharacteristic
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
476C2×C22⋊D5—22no—
477C2×C22⋊D5—22no—
478C2×C22⋊D5—22no—
479C2×C22⋊D5—22no—
480C2×C22⋊D5—22no—
481C2×C22⋊D5—22no—
482C2×C22⋊D5—22no—
483C2×C22⋊D5—41no—
484C2×C22⋊D5—41no—
485C2×C22⋊D5—41no—
486C2×C22⋊D5—41no—
487C2×C22⋊D5—41no—
488C2×C22⋊D5—41no—
489C2×C22⋊D5—41no—
490C2×C22⋊D5—41no—
491C22×Dic5—22no—
492C22×Dic5—22no—
493C22×Dic5—22no—
494C22×Dic5—22no—
495C22×Dic5—22no—
496C22×Dic5—22no—
497C22×Dic5—22no—
498C22×Dic5—22no—
499C22×Dic5—22no—
500C22×Dic5—41no—
501C22×Dic5—41no—
502C22×Dic5—41no—
503C22×Dic5—41no—
504C22×Dic5—41no—
505C22×Dic5—41no—
506C22×Dic5—41no—
507C22×Dic5—41no—
508C22×Dic5#4114yes—
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
522C22×Dic5C2411yescharacteristic
523C22×Dic5C2411yescharacteristic
524C2×C4×D5—22no—
525C2×C4×D5—41no—
526C2×C4×D5—41no—
527C2×Dic10—22no—
528C2×Dic10—41no—
529C2×Dic10—41no—
530C5×C4⋊C4—22no—
531C5×C4⋊C4—22no—
532C5×C4⋊C4—22no—
533C5×C4⋊C4—22no—
534C5×C4⋊C4—22no—
535C5×C4⋊C4C2×D414yes—
536C5×C22⋊C4—22no—
537C5×C22⋊C4—22no—
538C5×C22⋊C4—22no—
539C5×C22⋊C4—22no—
540C5×C22⋊C4—22no—
541C5×C22⋊C4—22no—
542C5×C22⋊C4—22no—
543C5×C22⋊C4—22no—
544C5×C22⋊C4—22no—
545C5×C22⋊C4—22no—
546C5×C22⋊C4—22no—
547C5×C22⋊C4—22no—
548C5×C22⋊C4C2×D414yes—
549C5×C22⋊C4C2×D414yes—
550C42×C5—22no—
551C42×C5C2×D414yes—
552C22⋊Dic5—22no—
553C22⋊Dic5—22no—
554C22⋊Dic5—22no—
555C22⋊Dic5—22no—
556C22⋊Dic5—22no—
557C22⋊Dic5—22no—
558C22⋊Dic5—22no—
559C22⋊Dic5—22no—
560C22⋊Dic5—22no—
561C22⋊Dic5—22no—
562C22⋊Dic5—22no—
563C22⋊Dic5—22no—
564C22⋊Dic5—22no—
565C22⋊Dic5—22no—
566C22⋊Dic5—22no—
567C22⋊Dic5—22no—
568C22⋊Dic5—22no—
569C22⋊Dic5—22no—
570C22⋊Dic5—22no—
571C22⋊Dic5—41no—
572C22⋊Dic5—41no—
573C22⋊Dic5—41no—
574C22⋊Dic5—41no—
575C22⋊Dic5—41no—
576C22⋊Dic5—41no—
577C22⋊Dic5—41no—
578C22⋊Dic5—41no—
579C22⋊Dic5—41no—
580C22⋊Dic5#4114yes—
581#685—22no—
582#685—22no—
583#685—22no—
584#685—22no—
585#685—22no—
586#685—22no—
587#685—41no—
588#685—41no—
589#685—41no—
590C4⋊Dic5—22no—
591C4⋊Dic5—22no—
592C4⋊Dic5—22no—
593C4⋊Dic5—22no—
594C4⋊Dic5—22no—
595#683—22no—
596#683—22no—
597#683—22no—
598#683—22no—
599#683—22no—
600#683—22no—
601#683—22no—
602#683—22no—
603#683—22no—
604#683—22no—
605#683—22no—
606#683—22no—
607#683—22no—
608#683—41no—
609#683—41no—
610#683—41no—
611#683—41no—
612#683—41no—
613#683—41no—
614C4×Dic5—22no—
615C4×Dic5—22no—
616C4×Dic5—22no—
617C4×Dic5—22no—
618C4×Dic5—22no—
619C4×Dic5—22no—
620C4×Dic5—41no—
621C4×Dic5—41no—
622C4×Dic5—41no—
623C4×Dic5—41no—
624C4×Dic5—41no—
625C4×Dic5—41no—
626C4×Dic5—41no—
627#539—108no—
628#538—28no—
629C2×#126—51no—
630C2×#126—51no—
631C2×#126C2×D511yescharacteristic
632C2×#126C2×D511yescharacteristic
633C2×#125—51no—
634C2×#125—51no—
635C2×#124—51no—
636C2×#124C2×D511yescharacteristic
637C2×#124C2×D511yescharacteristic
638C2×#123—51no—
639C2×#123—51no—
640C2×#123—51no—
641C2×#123—51no—
642C2×#123—51no—
643C2×#123C2×D511yescharacteristic
644C2×#123C2×D511yescharacteristic
645C2×C22⋊Q8—51no—
646C2×C22⋊Q8—51no—
647C2×C22⋊Q8—51no—
648C2×C22⋊Q8C2×D511yescharacteristic
649C2×#121—51no—
650C2×#121—51no—
651C2×#121—51no—
652C2×#121C2×D511yescharacteristic
653C2×#121C2×D511yescharacteristic
654C2×#121C2×D511yescharacteristic
655C2×#120—51no—
656C2×#120C2×D511yescharacteristic
657C2×#120C2×D511yescharacteristic
658C2×C4×D4—51no—
659C2×C4×D4—51no—
660C2×C4×D4—51no—
661C2×C4×D4—51no—
662C2×C4×D4C2×D511yescharacteristic
663C2×C4×D4C2×D511yescharacteristic
664C22×C4⋊C4—51no—
665C22×C22⋊C4—51no—
666C22×C22⋊C4—51no—
667C22×C22⋊C4C2×D511yescharacteristic
668C22×C42—51no—
669C22×C42—51no—
670#400—51no—
671#400—51no—
672#399—51no—
673#399—51no—
674#398—51no—
675#398—51no—
676#398—51no—
677#398—51no—
678#397—51no—
679#397—51no—
680#397—51no—
681#397—51no—
682#396—51no—
683#396—51no—
684#396—51no—
685#396—51no—
686#395—51no—
687#395—51no—
688#394—51no—
689#394—51no—
690#394—51no—
691#394—51no—
692#394—51no—
693#394—51no—
694#394—51no—
695#394—51no—
696#393—51no—
697#393—51no—
698#392—51no—
699#392—51no—
700#392—51no—
701#392—51no—
702#391—51no—
703#391—51no—
704#391—51no—
705#390—51no—
706#390—51no—
707#390—51no—
708#390—51no—
709#390—51no—
710#390—51no—
711#390—51no—
712#390—51no—
713#390—51no—
714#389—51no—
715#389—51no—
716#389—51no—
717#389—51no—
718#389—51no—
719#389—51no—
720#388—51no—
721#388—51no—
722#388—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#388—51no—
732#388—51no—
733#388—51no—
734#388—51no—
735#388—51no—
736#388—51no—
737#388—51no—
738#388—51no—
739#388—51no—
740#388—51no—
741#388—51no—
742#388—51no—
743#388—51no—
744#388—51no—
745#388—51no—
746#387—51no—
747#387—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386—51no—
754#386—51no—
755#386—51no—
756#386—51no—
757#386—51no—
758#386—51no—
759#386—51no—
760#385—51no—
761#385—51no—
762#385—51no—
763#385—51no—
764#382—51no—
765#381—51no—
766#380—51no—
767#380—51no—
768#379—51no—
769C4×C4⋊C4—51no—
770C4×C4⋊C4—51no—
771C4×C4⋊C4—51no—
772C4×C4⋊C4—51no—
773C4×C22⋊C4—51no—
774C4×C22⋊C4—51no—
775C4×C22⋊C4—51no—
776C4×C22⋊C4—51no—
777C4×C22⋊C4—51no—
778C4×C22⋊C4—51no—
779C4×C22⋊C4—51no—
780C4×C22⋊C4—51no—
781C2×#95—51no—
782C2×#95—51no—
783C43—51no—
784C23×C5—21no—
785C23×C5—21no—
786C23×C5—21no—
787C23×C5—21no—
788C23×C5—21no—
789C23×C5—21no—
790C23×C5—21no—
791C23×C5—21no—
792C23×C5—21no—
793C23×C5—21no—
794C23×C5—21no—
795C23×C5—21no—
796C23×C5—21no—
797C23×C5—21no—
798C23×C5—21no—
799C23×C5—21no—
800C23×C5—21no—
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—44no—
816C23×C5—44no—
817C23×C5—44no—
818C23×C5—82no—
819C23×C5—82no—
820C23×C5—82no—
821C23×C5—82no—
822C23×C5C22×D412yes—
823C23×C5C22×D412yes—
824C23×C5C2×#4112yes—
825C23×C5C2×#4112yes—
826C23×C5C2511yescharacteristic
827C22×D5—21no—
828C22×D5—21no—
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—21no—
834C5×Q8—82no—
835C5×D4—28no—
836C5×D4—44no—
837C5×D4—82no—
838C5×D4—82no—
839C5×D4—82no—
840C5×D4—82no—
841C5×D4—82no—
842C2×C4×C5—21no—
843C2×C4×C5—21no—
844C2×C4×C5—21no—
845C2×C4×C5—21no—
846C2×C4×C5—21no—
847C2×C4×C5—21no—
848C2×C4×C5—21no—
849C2×C4×C5—21no—
850C2×C4×C5—21no—
851C2×C4×C5—21no—
852C2×C4×C5—21no—
853C2×C4×C5—21no—
854C2×C4×C5—21no—
855C2×C4×C5—21no—
856C2×C4×C5—21no—
857C2×C4×C5—21no—
858C2×C4×C5—21no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
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—44no—
868C2×C4×C5—44no—
869C2×C4×C5—82no—
870C2×C4×C5—82no—
871C2×C4×C5C22×D412yes—
872C2×C4×C5C22×D412yes—
873C2×C4×C5C22×D412yes—
874C2×C4×C5C22×D412yes—
875C2×C4×C5C22×D412yes—
876C22⋊D5—44no—
877C22⋊D5—44no—
878C22⋊D5—82no—
879C22⋊D5—82no—
880C22⋊D5—82no—
881C2×Dic5—21no—
882C2×Dic5—21no—
883C2×Dic5—21no—
884C2×Dic5—21no—
885C2×Dic5—21no—
886C2×Dic5—21no—
887C2×Dic5—21no—
888C2×Dic5—21no—
889C2×Dic5—21no—
890C2×Dic5—21no—
891C2×Dic5—21no—
892C2×Dic5—21no—
893C2×Dic5—21no—
894C2×Dic5—21no—
895C2×Dic5—21no—
896C2×Dic5—21no—
897C2×Dic5—21no—
898C2×Dic5—21no—
899C2×Dic5—21no—
900C2×Dic5—21no—
901C2×Dic5—21no—
902C2×Dic5—21no—
903C2×Dic5—21no—
904C2×Dic5—21no—
905C2×Dic5—21no—
906C2×Dic5—21no—
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—44no—
922C2×Dic5—44no—
923C2×Dic5—44no—
924C2×Dic5—44no—
925C2×Dic5—44no—
926C2×Dic5—82no—
927C2×Dic5C2×#4112yes—
928C2×Dic5C2×#4112yes—
929C2×Dic5C2×#4112yes—
930C2×Dic5C2×#4112yes—
931C2×Dic5H(5,𝔽2)12yes—
932C4×D5—82no—
933Dic10—82no—
934C25C22×D511yescharacteristic
935C22×Q8—51no—
936C22×Q8C22×D511yescharacteristic
937C22×D4—51no—
938C22×D4—51no—
939C22×D4—51no—
940C22×D4—51no—
941C22×D4—51no—
942C22×D4C22×D511yescharacteristic
943C22×D4C22×D511yescharacteristic
944C22×D4C22×D511yescharacteristic
945C22×D4C22×D511yescharacteristic
946C22×D4C22×D511yescharacteristic
947C22×D4C22×D511yescharacteristic
948C22×D4C22×D511yescharacteristic
949C23×C4—51no—
950C23×C4—51no—
951C23×C4—51no—
952C23×C4—51no—
953C23×C4—51no—
954C23×C4—51no—
955C23×C4—51no—
956C23×C4C22×D511yescharacteristic
957C23×C4C22×D511yescharacteristic
958C23×C4C22×D511yescharacteristic
959C23×C4C22×D511yescharacteristic
960#126—24no—
961#126—24no—
962#126—104no—
963#126—104no—
964#125—104no—
965#125—104no—
966#124—24no—
967#124—24no—
968#124—202no—
969#123—24no—
970#123—24no—
971#123—104no—
972#123—104no—
973#123—104no—
974#123—104no—
975#123—104no—
976C22⋊Q8—24no—
977C22⋊Q8—104no—
978C22⋊Q8—104no—
979C22⋊Q8—104no—
980#121—24no—
981#121—24no—
982#121—24no—
983#121—104no—
984#121—104no—
985#121—202no—
986#120—24no—
987#120—24no—
988#120—104no—
989C4×D4—24no—
990C4×D4—104no—
991C4×D4—104no—
992C4×D4—104no—
993C4×D4—202no—
994C4×D4C22⋊D518yescomplemented
995C2×C4⋊C4—51no—
996C2×C4⋊C4—51no—
997C2×C4⋊C4—51no—
998C2×C4⋊C4—51no—
999C2×C4⋊C4—51no—
1000C2×C4⋊C4—51no—
1001C2×C4⋊C4—51no—
1002C2×C4⋊C4—51no—
1003C2×C4⋊C4—51no—
1004C2×C4⋊C4—51no—
1005C2×C4⋊C4—51no—
1006C2×C4⋊C4—51no—
1007C2×C4⋊C4—51no—
1008C2×C4⋊C4—51no—
1009C2×C4⋊C4—51no—
1010C2×C4⋊C4—51no—
1011C2×C4⋊C4—51no—
1012C2×C4⋊C4—51no—
1013C2×C4⋊C4—51no—
1014C2×C4⋊C4—51no—
1015C2×C4⋊C4—51no—
1016C2×C4⋊C4—51no—
1017C2×C4⋊C4—51no—
1018C2×C4⋊C4—51no—
1019C2×C4⋊C4—104no—
1020C2×C4⋊C4C22×D511yescharacteristic
1021C2×C4⋊C4C22×D511yescharacteristic
1022C2×C4⋊C4C22×D511yescharacteristic
1023C2×C4⋊C4C22×D511yescharacteristic
1024C2×C4⋊C4C22×D511yescharacteristic
1025C2×C4⋊C4C22×D511yescharacteristic
1026C2×C22⋊C4—24no—
1027C2×C22⋊C4—51no—
1028C2×C22⋊C4—51no—
1029C2×C22⋊C4—51no—
1030C2×C22⋊C4—51no—
1031C2×C22⋊C4—51no—
1032C2×C22⋊C4—51no—
1033C2×C22⋊C4—51no—
1034C2×C22⋊C4—51no—
1035C2×C22⋊C4—51no—
1036C2×C22⋊C4—51no—
1037C2×C22⋊C4—51no—
1038C2×C22⋊C4—51no—
1039C2×C22⋊C4—51no—
1040C2×C22⋊C4—51no—
1041C2×C22⋊C4—51no—
1042C2×C22⋊C4—51no—
1043C2×C22⋊C4—51no—
1044C2×C22⋊C4—51no—
1045C2×C22⋊C4—51no—
1046C2×C22⋊C4—51no—
1047C2×C22⋊C4—51no—
1048C2×C22⋊C4—51no—
1049C2×C22⋊C4—51no—
1050C2×C22⋊C4—51no—
1051C2×C22⋊C4—51no—
1052C2×C22⋊C4—51no—
1053C2×C22⋊C4—51no—
1054C2×C22⋊C4—51no—
1055C2×C22⋊C4—51no—
1056C2×C22⋊C4—51no—
1057C2×C22⋊C4—51no—
1058C2×C22⋊C4—51no—
1059C2×C22⋊C4—51no—
1060C2×C22⋊C4—51no—
1061C2×C22⋊C4—51no—
1062C2×C22⋊C4—51no—
1063C2×C22⋊C4—51no—
1064C2×C22⋊C4—51no—
1065C2×C22⋊C4—104no—
1066C2×C22⋊C4—202no—
1067C2×C22⋊C4C22×D511yescharacteristic
1068C2×C22⋊C4C22×D511yescharacteristic
1069C2×C22⋊C4C22×D511yescharacteristic
1070C2×C22⋊C4C22×D511yescharacteristic
1071C2×C22⋊C4C22×D511yescharacteristic
1072C2×C22⋊C4C22×D511yescharacteristic
1073C2×C22⋊C4C22×D511yescharacteristic
1074C2×C22⋊C4C22×D511yescharacteristic
1075C2×C22⋊C4C22×D511yescharacteristic
1076C2×C22⋊C4C22×D511yescharacteristic
1077C2×C22⋊C4C22×D511yescharacteristic
1078C2×C22⋊C4C22×D511yescharacteristic
1079C2×C22⋊C4C22×D511yescharacteristic
1080C2×C22⋊C4C22×D511yescharacteristic
1081C2×C42—51no—
1082C2×C42—51no—
1083C2×C42—51no—
1084C2×C42—51no—
1085C2×C42—51no—
1086C2×C42—51no—
1087C2×C42—51no—
1088C2×C42—51no—
1089C2×C42—51no—
1090C2×C42—51no—
1091C2×C42—51no—
1092C2×C42—51no—
1093C2×C42—51no—
1094C2×C42—202no—
1095C2×C42—202no—
1096C2×C42C22×D511yescharacteristic
1097C2×C42C22×D511yescharacteristic
1098#95—51no—
1099#95—51no—
1100#95—51no—
1101#95—51no—
1102#95—51no—
1103#95—51no—
1104#95—51no—
1105#95—51no—
1106#95—51no—
1107#95—51no—
1108#95—51no—
1109#95—51no—
1110#95—51no—
1111#95—51no—
1112#95—51no—
1113#95—51no—
1114#95—51no—
1115#95—51no—
1116#95—51no—
1117#95—51no—
1118#95—51no—
1119#95—51no—
1120#95—51no—
1121#95—51no—
1122#95—51no—
1123#95—51no—
1124#95—51no—
1125#95—51no—
1126#95—51no—
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130C22×C5—22no—
1131C22×C5—22no—
1132C22×C5—22no—
1133C22×C5—22no—
1134C22×C5—22no—
1135C22×C5—22no—
1136C22×C5—22no—
1137C22×C5—22no—
1138C22×C5—22no—
1139C22×C5—41no—
1140C22×C5—41no—
1141C22×C5—41no—
1142C22×C5—41no—
1143C22×C5—41no—
1144C22×C5—41no—
1145C22×C5—41no—
1146C22×C5—41no—
1147C22×C5—41no—
1148C22×C5—41no—
1149C22×C5—41no—
1150C22×C5—41no—
1151C22×C5—41no—
1152C22×C5—41no—
1153C22×C5—41no—
1154C22×C5—41no—
1155C22×C5—41no—
1156C22×C5—41no—
1157C22×C5—41no—
1158C22×C5—41no—
1159C22×C5—41no—
1160C22×C5—41no—
1161C22×C5—41no—
1162C22×C5—41no—
1163C22×C5—41no—
1164C22×C5—88no—
1165C22×C5#53214yes—
1166C22×C5C23×D411yescharacteristic
1167C22×C5C22×#4111yescharacteristic
1168C22×C5C22×#4111yescharacteristic
1169C22×C5C2×H(5,𝔽2)11yescharacteristic
1170C22×C5#58511yescharacteristic
1171C22×C5#58511yescharacteristic
1172C22×C5#58511yescharacteristic
1173C2×D5—41no—
1174C2×D5—41no—
1175C2×D5—41no—
1176C2×D5—41no—
1177C2×D5—41no—
1178C2×D5—41no—
1179C2×D5—41no—
1180C4×C5—22no—
1181C4×C5—22no—
1182C4×C5—22no—
1183C4×C5—22no—
1184C4×C5—22no—
1185C4×C5—41no—
1186C4×C5—41no—
1187C4×C5—41no—
1188C4×C5—41no—
1189C4×C5—41no—
1190Dic5—22no—
1191Dic5—22no—
1192Dic5—22no—
1193Dic5—22no—
1194Dic5—22no—
1195Dic5—41no—
1196Dic5—41no—
1197Dic5—41no—
1198Dic5—41no—
1199Dic5—41no—
1200Dic5—41no—
1201Dic5—41no—
1202Dic5—41no—
1203Dic5—41no—
1204Dic5—41no—
1205C24—22no—
1206C24—22no—
1207C24—22no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—51no—
1213C24C23×D511yescharacteristic
1214C24C23×D511yescharacteristic
1215C24C23×D511yescharacteristic
1216C24C23×D511yescharacteristic
1217C24C23×D511yescharacteristic
1218C2×Q8—22no—
1219C2×Q8—41no—
1220C2×Q8—41no—
1221C2×Q8—102no—
1222C2×Q8—201no—
1223C2×Q8—201no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—102no—
1245C2×D4—102no—
1246C2×D4—102no—
1247C2×D4—102no—
1248C2×D4—102no—
1249C2×D4—102no—
1250C2×D4—102no—
1251C2×D4—201no—
1252C2×D4—201no—
1253C2×D4—201no—
1254C2×D4—201no—
1255C2×D4—201no—
1256C2×D4—201no—
1257C2×D4—201no—
1258C2×D4—201no—
1259C2×D4C2×C22⋊D514yes—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—51no—
1271C22×C4—51no—
1272C22×C4—51no—
1273C22×C4—51no—
1274C22×C4—51no—
1275C22×C4—54no—
1276C22×C4—51no—
1277C22×C4—51no—
1278C22×C4—51no—
1279C22×C4—51no—
1280C22×C4—51no—
1281C22×C4—51no—
1282C22×C4—51no—
1283C22×C4—51no—
1284C22×C4—51no—
1285C22×C4—51no—
1286C22×C4—102no—
1287C22×C4—102no—
1288C22×C4—102no—
1289C22×C4—102no—
1290C22×C4—102no—
1291C22×C4—102no—
1292C22×C4—102no—
1293C22×C4—102no—
1294C22×C4—102no—
1295C22×C4—102no—
1296C22×C4—201no—
1297C22×C4—201no—
1298C22×C4—201no—
1299C22×C4—201no—
1300C22×C4—201no—
1301C22×C4—201no—
1302C22×C4—201no—
1303C22×C4—201no—
1304C22×C4—201no—
1305C22×C4—201no—
1306C22×C4C2×C22⋊D514yes—
1307C22×C4C2×C22⋊D514yes—
1308C22×C4C23×D511yescharacteristic
1309C22×C4C23×D511yescharacteristic
1310C22×C4C23×D511yescharacteristic
1311C22×C4C23×D511yescharacteristic
1312C22×C4C23×D511yescharacteristic
1313C22×C4C23×D511yescharacteristic
1314C22×C4C23×D511yescharacteristic
1315C22×C4C23×D511yescharacteristic
1316C22×C4C23×D511yescharacteristic
1317C22×C4C23×D511yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—102no—
1324C4⋊C4—102no—
1325C4⋊C4—102no—
1326C4⋊C4—102no—
1327C4⋊C4—102no—
1328C4⋊C4—102no—
1329C4⋊C4—102no—
1330C4⋊C4—102no—
1331C4⋊C4—102no—
1332C4⋊C4—102no—
1333C4⋊C4—102no—
1334C4⋊C4—102no—
1335C4⋊C4—102no—
1336C4⋊C4—102no—
1337C4⋊C4—102no—
1338C4⋊C4—102no—
1339C4⋊C4—102no—
1340C4⋊C4—102no—
1341C4⋊C4—201no—
1342C4⋊C4—201no—
1343C4⋊C4—201no—
1344C4⋊C4—201no—
1345C4⋊C4—201no—
1346C4⋊C4—201no—
1347C4⋊C4C2×C22⋊D514yes—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—54no—
1361C22⋊C4—102no—
1362C22⋊C4—102no—
1363C22⋊C4—102no—
1364C22⋊C4—102no—
1365C22⋊C4—102no—
1366C22⋊C4—102no—
1367C22⋊C4—102no—
1368C22⋊C4—102no—
1369C22⋊C4—102no—
1370C22⋊C4—102no—
1371C22⋊C4—102no—
1372C22⋊C4—102no—
1373C22⋊C4—102no—
1374C22⋊C4—102no—
1375C22⋊C4—102no—
1376C22⋊C4—102no—
1377C22⋊C4—102no—
1378C22⋊C4—102no—
1379C22⋊C4—102no—
1380C22⋊C4—102no—
1381C22⋊C4—102no—
1382C22⋊C4—102no—
1383C22⋊C4—102no—
1384C22⋊C4—102no—
1385C22⋊C4—102no—
1386C22⋊C4—201no—
1387C22⋊C4—201no—
1388C22⋊C4—201no—
1389C22⋊C4—201no—
1390C22⋊C4—201no—
1391C22⋊C4—201no—
1392C22⋊C4—201no—
1393C22⋊C4—201no—
1394C22⋊C4—201no—
1395C22⋊C4—201no—
1396C22⋊C4—201no—
1397C22⋊C4—201no—
1398C22⋊C4C2×C22⋊D514yes—
1399C22⋊C4C2×C22⋊D514yes—
1400C42—22no—
1401C42—102no—
1402C42—102no—
1403C42—102no—
1404C42—102no—
1405C42—102no—
1406C42—102no—
1407C42—201no—
1408C42—201no—
1409C42—201no—
1410C42—201no—
1411C42—201no—
1412C42—201no—
1413C42—201no—
1414C42C2×C22⋊D514yes—
1415C2×C5—24no—
1416C2×C5—42no—
1417C2×C5—81no—
1418C2×C5—81no—
1419C2×C5—81no—
1420C2×C5C2×#53211yescharacteristic
1421C2×C5#345511yescharacteristic
1422C2×C5#345911yescharacteristic
1423C2×C5#349611yescharacteristic
1424C2×C5#350011yescharacteristic
1425C2×C5#351311yescharacteristic
1426C2×C5#352111yescharacteristic
1427D5—81no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—82no—
1463C23—82no—
1464C23—82no—
1465C23—82no—
1466C23—101no—
1467C23—101no—
1468C23—101no—
1469C23—101no—
1470C23—101no—
1471C23—101no—
1472C23—101no—
1473C23D5×#4112yes—
1474C23D5×#4112yes—
1475C23C22×C22⋊D512yes—
1476C23C22×C22⋊D512yes—
1477C23C24×D511yescharacteristic
1478Q8—82no—
1479Q8—402no—
1480D4—28no—
1481D4—44no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—204no—
1488D4—204no—
1489D4—402no—
1490D4—402no—
1491D4—402no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—52no—
1520C2×C4—52no—
1521C2×C4—52no—
1522C2×C4—52no—
1523C2×C4—52no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4—101no—
1527C2×C4—101no—
1528C2×C4—101no—
1529C2×C4—101no—
1530C2×C4—101no—
1531C2×C4—101no—
1532C2×C4—101no—
1533C2×C4—101no—
1534C2×C4—101no—
1535C2×C4—101no—
1536C2×C4—101no—
1537C2×C4—101no—
1538C2×C4—101no—
1539C2×C4—101no—
1540C2×C4—101no—
1541C2×C4—101no—
1542C2×C4—101no—
1543C2×C4—101no—
1544C2×C4—101no—
1545C2×C4—101no—
1546C2×C4—101no—
1547C2×C4—101no—
1548C2×C4—101no—
1549C2×C4—101no—
1550C2×C4—101no—
1551C2×C4—101no—
1552C2×C4—101no—
1553C2×C4—101no—
1554C2×C4—101no—
1555C2×C4—101no—
1556C2×C4—101no—
1557C2×C4—101no—
1558C2×C4—101no—
1559C2×C4—101no—
1560C2×C4—101no—
1561C2×C4—101no—
1562C2×C4—101no—
1563C2×C4—101no—
1564C2×C4—101no—
1565C2×C4—101no—
1566C2×C4—204no—
1567C2×C4—204no—
1568C2×C4—204no—
1569C2×C4—204no—
1570C2×C4—204no—
1571C2×C4—402no—
1572C2×C4—402no—
1573C2×C4C22×C22⋊D512yes—
1574C2×C4C22×C22⋊D512yes—
1575C2×C4C22×C22⋊D512yes—
1576C2×C4C22×C22⋊D512yes—
1577C2×C4C22×C22⋊D512yes—
1578C5#3500911yescharacteristic, complemented, Sylow
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—88no—
1614C22—201no—
1615C22—201no—
1616C22—201no—
1617C22—201no—
1618C22—201no—
1619C22—201no—
1620C22—201no—
1621C22#6616614yes—
1622C22C2×D5×#4111yescharacteristic
1623C22C2×D5×#4111yescharacteristic
1624C22D5×H(5,𝔽2)11yescharacteristic
1625C22#6628511yescharacteristic
1626C22#6628511yescharacteristic
1627C22#6628511yescharacteristic
1628C22C23×C22⋊D511yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—102no—
1640C4—102no—
1641C4—102no—
1642C4—102no—
1643C4—102no—
1644C4—201no—
1645C4—201no—
1646C4—201no—
1647C4—201no—
1648C4—201no—
1649C4—201no—
1650C4—201no—
1651C4—201no—
1652C4—201no—
1653C4—201no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—81no—
1658C2—81no—
1659C2—401no—
1660C2#1061828811yescharacteristic
1661C2#1061828911yescharacteristic
1662C2#1061829411yescharacteristic
1663C2#1061831711yescharacteristic
1664C2C2×#6616611yescharacteristic
1665C2#1061918211yescharacteristic
1666C2#1061918411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC2×C5×#538C2
hypercenterC2×#538D5
hypocenterC5#35009
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×C5×#538C2semidirect
2. C2×#65898C2semidirect
3. #10614841C2semidirect
4. #10614835C2semidirect
5. #10614821C2semidirect
6. #10614816C2semidirect
7. #10614730C2semidirect
8. #10614725C2semidirect
9. #10614712C2semidirect
10. #10614699C2semidirect
11. #10614622C2semidirect
12. #10614599C2semidirect
13. #10614594C2semidirect
14. #10614583C2semidirect
15. #10614512C2semidirect
16. #10614502C2semidirect
17. #10614443C2semidirect
18. #10614429C2semidirect
19. #10614404C2semidirect
20. #10614401C2semidirect
21. #10614390C2semidirect
22. #10614376C2semidirect
23. #10614322C2semidirect
24. #10614321C2semidirect
25. #10614320C2semidirect
26. #10614318C2semidirect
27. #10614057C2semidirect
28. C4×#4085C2semidirect
29. C4×D4×Dic5C2semidirect
30. #10613827C2semidirect
31. C2×#65234C2semidirect
59. C2×#4075C22semidirect
61. C2×C4×C22⋊D5C22semidirect
62. C2×#4070C22semidirect
65. C22×C4×Dic5C22semidirect
67. C2×#4042C22semidirect
68. C2×#4035C22semidirect
70. C2×#4029C22semidirect
71. C2×#4025C22semidirect
73. C2×#4022C22semidirect
74. C2×#4016C22semidirect
76. #65520C22semidirect
77. #65519C22semidirect
78. #65519C22semidirect
79. #65518C22semidirect
83. #65512C22semidirect
89. #65511C22semidirect
98. #65509C22semidirect
99. #65509C22semidirect
102. #65499C22semidirect
103. #65499C22semidirect
105. C4×C22⋊Dic5C22semidirect
106. C4×C22⋊Dic5C22semidirect
109. #65282C22semidirect
110. #65279C22semidirect
111. #65279C22semidirect
112. #65279C22semidirect
113. #65279C22semidirect
114. #65275C22semidirect
115. #65275C22semidirect
116. #65273C22semidirect
117. #65273C22semidirect
118. #65272C22semidirect
119. #65269C22semidirect
120. #65268C22semidirect
121. #65266C22semidirect
122. C4⋊C4×Dic5C22semidirect
123. C4⋊C4×Dic5C22semidirect
124. #65263C22semidirect
125. #65261C22semidirect
126. #65261C22semidirect
127. #65261C22semidirect
128. #65261C22semidirect
129. #65261C22semidirect
130. #65261C22semidirect
132. #65250C22semidirect
134. #65247C22semidirect
140. #65246C22semidirect
144. #65241C22semidirect
145. #65241C22semidirect
151. #65237C22semidirect
169. #65234C22semidirect
170. #65234C22semidirect
171. #65234C22semidirect
172. #65234C22semidirect
173. #65234C22semidirect
178. #65231C22semidirect
181. C22⋊C4×Dic5C22semidirect
182. C22⋊C4×Dic5C22semidirect
183. C4×#685C22semidirect
184. C4×C4⋊Dic5C22semidirect
185. #65222C22semidirect
186. #65222C22semidirect
187. C4×#683C22semidirect
188. C42×Dic5C22semidirect
229. C4×C5×D4D4semidirect
387. C2×#538D5semidirect
994. C4×D4C22⋊D5semidirect
1578. C5#35009semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#5382
C2×#658982
#106148412
#106148352
#106148212
#106148162
#106147302
#106147252
#106147122
#106146992
#106146222
#106145992
#106145942
#106145832
#106145122
#106145022
#106144432
#106144292
#106144042
#106144012
#106143902
#106143762
#106143222
#106143212
#106143202
#106143182
#106140572
C4×#40852
C4×D4×Dic52
#106138272
C2×#652342
#350095