Finite Group Databasebeta

← #12278389

Subgroups — #12278389

Order 1280.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D5×C22⋊Q8C211yesmaximal, characteristic, complemented
2C2×#65879C211yesmaximal, characteristic
3C5×#2450C211yesmaximal, characteristic, complemented
4#10614495C211yesmaximal, characteristic, complemented
5#10614092C211yesmaximal, characteristic, complemented
6#10610073C211yesmaximal, characteristic, complemented
7#10609877C211yesmaximal, characteristic, complemented
8#10609691C211yesmaximal, characteristic, complemented
9#10609680C211yesmaximal, characteristic, complemented
10#10609153C211yesmaximal, characteristic, complemented
11#10609149C211yesmaximal, characteristic, complemented
12#10608596C211yesmaximal, characteristic, complemented
13#10608511C211yesmaximal, characteristic, complemented
14#10608358C211yesmaximal, characteristic, complemented
15#10608350C211yesmaximal, characteristic, complemented
16#10607101C211yesmaximal, characteristic, complemented
17#10607049C211yesmaximal, characteristic, complemented
18#10606605C211yesmaximal, characteristic
19D5×#386C211yesmaximal, characteristic
20#10606441C211yesmaximal, characteristic, complemented
21#10606440C211yesmaximal, characteristic, complemented
22#10606347C211yesmaximal, characteristic, complemented
23#10606322C211yesmaximal, characteristic, complemented
24#10606322C211yesmaximal, characteristic, complemented
25#10606154C211yesmaximal, characteristic, complemented
26#10606153C211yesmaximal, characteristic, complemented
27#10606144C211yesmaximal, characteristic, complemented
28#10605643C211yesmaximal, characteristic, complemented
29#10605627C211yesmaximal, characteristic, complemented
30C2×#64957C211yesmaximal, characteristic, complemented
31#10605082C211yesmaximal, characteristic, complemented
32C22×Q8×D5C2211yescharacteristic, complemented
33C22×D4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×C22⋊Q8C2211yescharacteristic, complemented
36C2×C4×C5×D4C2211yescharacteristic
37C2×#4092C2211yescharacteristic
38C2×#4092C2211yescharacteristic, complemented
39C2×D4×Dic5C2211yescharacteristic
40C2×C4×C22⋊D5C2211yescharacteristic
41C2×C4×C22⋊D5C2211yescharacteristic
42C22×#685C2211yescharacteristic
43C22×#685C2211yescharacteristic
44C22×#685C2211yescharacteristic
45C22×C4⋊Dic5C2211yescharacteristic, complemented
46C2×#4070C2211yescharacteristic, complemented
47C22×#683C2211yescharacteristic, complemented
48D5×C22⋊Q8—28no—
49#65879—28no—
50C2×#4043C2211yescharacteristic
51C2×#4043C2211yescharacteristic, complemented
52C2×#4042C2211yescharacteristic
53C2×#4042C2211yescharacteristic
54C2×#4039C2211yescharacteristic
55C2×#4038C2211yescharacteristic
56C2×D5×C4⋊C4C2211yescharacteristic, complemented
57C2×D5×C4⋊C4C2211yescharacteristic, complemented
58C2×D5×C4⋊C4C2211yescharacteristic, complemented
59C2×#4027C2211yescharacteristic
60C2×#4027C2211yescharacteristic
61C2×D5×C22⋊C4C2211yescharacteristic
62C2×D5×C22⋊C4C2211yescharacteristic
63C2×D5×C22⋊C4C2211yescharacteristic
64C2×D5×C22⋊C4C2211yescharacteristic
65C2×D5×C22⋊C4C2211yescharacteristic
66C2×D5×C22⋊C4C2211yescharacteristic
67C2×#4024C2211yescharacteristic, complemented
68C2×#4024C2211yescharacteristic, complemented
69C2×#4024C2211yescharacteristic, complemented
70C2×#4024C2211yescharacteristic, complemented
71C2×C4×D20C2211yescharacteristic
72C2×#4018C2211yescharacteristic
73C5×#400C2211yescharacteristic, complemented
74C5×#398C2211yescharacteristic, complemented
75C5×#396C2211yescharacteristic, complemented
76C5×#393C2211yescharacteristic, complemented
77C5×#391C2211yescharacteristic, complemented
78C5×#387C2211yescharacteristic, complemented
79C5×#386C2211yescharacteristic
80C5×#386C2211yescharacteristic
81C5×#385C2211yescharacteristic, complemented
82C5×#385C2211yescharacteristic, complemented
83C5×#385C2211yescharacteristic, complemented
84C5×#380C2211yescharacteristic, complemented
85C2×C5×#95C2211yescharacteristic, complemented
86#65518C2211yescharacteristic, complemented
87#65509C2211yescharacteristic
88#65509C2211yescharacteristic
89#65502C2211yescharacteristic
90#65502C2211yescharacteristic
91#65501C2211yescharacteristic, complemented
92#65499C2211yescharacteristic, complemented
93#65499C2211yescharacteristic, complemented
94#65499C2211yescharacteristic, complemented
95C2×#3963C2211yescharacteristic, complemented
96#65283C2211yescharacteristic, complemented
97#65283C2211yescharacteristic, complemented
98#65283C2211yescharacteristic, complemented
99#65281C2211yescharacteristic, complemented
100#65278C2211yescharacteristic
101#65278C2211yescharacteristic
102#65278C2211yescharacteristic, complemented
103#65278C2211yescharacteristic, complemented
104#65278C2211yescharacteristic, complemented
105#65278C2211yescharacteristic, complemented
106#65276C2211yescharacteristic
107#65276C2211yescharacteristic
108#65276C2211yescharacteristic, complemented
109#65276C2211yescharacteristic, complemented
110#65275C2211yescharacteristic, complemented
111#65274C2211yescharacteristic, complemented
112#65273C2211yescharacteristic, complemented
113#65273C2211yescharacteristic, complemented
114#65272C2211yescharacteristic, complemented
115#65270C2211yescharacteristic, complemented
116#65269C2211yescharacteristic, complemented
117#65267C2211yescharacteristic, complemented
118#65262C2211yescharacteristic, complemented
119#65247C2211yescharacteristic
120#65247C2211yescharacteristic
121#65245C2211yescharacteristic
122#65245C2211yescharacteristic
123#65245C2211yescharacteristic
124#65245C2211yescharacteristic
125#65244C2211yescharacteristic
126#65244C2211yescharacteristic
127#65239C2211yescharacteristic, complemented
128#65239C2211yescharacteristic, complemented
129#65239C2211yescharacteristic, complemented
130#65238C2211yescharacteristic, complemented
131#65238C2211yescharacteristic, complemented
132#65237C2211yescharacteristic, complemented
133#65237C2211yescharacteristic, complemented
134#65237C2211yescharacteristic, complemented
135#65236C2211yescharacteristic, complemented
136#65235C2211yescharacteristic, complemented
137#65235C2211yescharacteristic, complemented
138#65235C2211yescharacteristic, complemented
139#65222C2211yescharacteristic, complemented
140#65218C2211yescharacteristic, complemented
141#64966C2211yescharacteristic, complemented
142#64965C2211yescharacteristic, complemented
143#64962C2211yescharacteristic, complemented
144#64962C2211yescharacteristic, complemented
145#64957C2211yescharacteristic
146#64957C2211yescharacteristic
147#64957C2211yescharacteristic
148#64957C2211yescharacteristic
149#64957C2211yescharacteristic
150#64957C2211yescharacteristic
151#64957C2211yescharacteristic, complemented
152#64957C2211yescharacteristic, complemented
153#64957C2211yescharacteristic, complemented
154#64957C2211yescharacteristic, complemented
155#64957C2211yescharacteristic, complemented
156#64957C2211yescharacteristic, complemented
157#64957C2211yescharacteristic, complemented
158#64957C2211yescharacteristic, complemented
159#64956C2211yescharacteristic
160#64956C2211yescharacteristic
161#64956C2211yescharacteristic, complemented
162#64956C2211yescharacteristic, complemented
163#64956C2211yescharacteristic, complemented
164#64956C2211yescharacteristic, complemented
165#64954C2211yescharacteristic
166#64954C2211yescharacteristic
167#64954C2211yescharacteristic
168#64954C2211yescharacteristic
169#64953C2211yescharacteristic
170#64953C2211yescharacteristic
171D5×#95C2211yescharacteristic
172D5×#95C2211yescharacteristic
173#64950C2211yescharacteristic, complemented
174#64947C2211yescharacteristic, complemented
175#64947C2211yescharacteristic, complemented
176#64946C2211yescharacteristic, complemented
177#64946C2211yescharacteristic, complemented
178#64945C2211yescharacteristic, complemented
179#64945C2211yescharacteristic, complemented
180#64945C2211yescharacteristic, complemented
181#64944C2211yescharacteristic, complemented
182#64943C2211yescharacteristic, complemented
183#64942C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64936C2211yescharacteristic, complemented
187#64935C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#35349—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C22×C5×Q8C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C23×Dic5C2311yescharacteristic
201C23×Dic5C2311yescharacteristic
202C23×Dic5C2311yescharacteristic
203C23×Dic5C2311yescharacteristic
204C2×Q8×D5—24no—
205C2×Q8×D5—42no—
206C2×Q8×D5—42no—
207C2×D4×D5—24no—
208C2×D4×D5—24no—
209C2×D4×D5Q818yescomplemented
210C22×D20C2311yescharacteristic
211C22×C4×D5—24no—
212C22×C4×D5—42no—
213C22×C4×D5—42no—
214C22×C4×D5C2311yescharacteristic
215C22×C4×D5C2311yescharacteristic
216C22×C4×D5C2311yescharacteristic
217C22×C4×D5C2311yescharacteristic
218C22×C4×D5C2311yescharacteristic
219C22×C4×D5C2311yescharacteristic
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C22×C4×D5C2311yescharacteristic
223C22×C4×D5C2311yescharacteristic
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×C4×D5C2311yescharacteristic
227C22×Dic10C2311yescharacteristic
228C22×Dic10C2311yescharacteristic
229C22×Dic10C2311yescharacteristic
230C5×C22⋊Q8—24no—
231C4×C5×D4—24no—
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C4⋊C4C2311yescharacteristic
239C2×C5×C4⋊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×C22⋊Dic5C2311yescharacteristic
250C2×C22⋊Dic5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257#4092—24no—
258#4092—42no—
259D4×Dic5—24no—
260C4×C22⋊D5—24no—
261C4×C22⋊D5—24no—
262C2×#685—24no—
263C2×#685—24no—
264C2×#685—24no—
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×C4⋊Dic5—42no—
290C2×C4⋊Dic5C2311yescharacteristic
291C2×C4⋊Dic5C2311yescharacteristic
292C2×C4⋊Dic5C2311yescharacteristic
293C2×C4⋊Dic5C2311yescharacteristic
294C2×C4⋊Dic5C2311yescharacteristic
295C2×C4⋊Dic5C2311yescharacteristic
296C2×C4⋊Dic5C2311yescharacteristic
297C2×C4⋊Dic5C2311yescharacteristic
298C2×C4⋊Dic5C2311yescharacteristic
299C2×C4⋊Dic5C2311yescharacteristic
300C2×C4⋊Dic5C2311yescharacteristic
301C2×C4⋊Dic5C2311yescharacteristic
302#4070—24no—
303C2×#683—42no—
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×#683C2311yescharacteristic
321C2×#683C2311yescharacteristic
322C2×#683C2311yescharacteristic
323C2×#683C2311yescharacteristic
324C2×C4×Dic5C2311yescharacteristic
325C2×C4×Dic5C2311yescharacteristic
326C2×C4×Dic5C2311yescharacteristic
327#4043—24no—
328#4043—42no—
329#4042—24no—
330#4042—24no—
331#4039—24no—
332#4038—24no—
333D5×C4⋊C4—24no—
334D5×C4⋊C4—24no—
335D5×C4⋊C4—24no—
336#4027—24no—
337#4027—24no—
338D5×C22⋊C4—24no—
339D5×C22⋊C4—24no—
340D5×C22⋊C4—24no—
341D5×C22⋊C4—42no—
342D5×C22⋊C4—42no—
343D5×C22⋊C4D418yes—
344#4024—24no—
345#4024—24no—
346#4024—42no—
347#4024—42no—
348C4×D20—24no—
349#4018—24no—
350C5×#95C2311yescharacteristic
351C5×#95C2311yescharacteristic
352C5×#95C2311yescharacteristic
353C5×#95C2311yescharacteristic
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
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
390C22×C22⋊Q8—51no—
391C2×#518—51no—
392#2579—51no—
393#2579—51no—
394#2579—51no—
395#2579—51no—
396#2487—51no—
397#2487—51no—
398#2450—51no—
399#2450—51no—
400#2450—51no—
401#2450D511yescharacteristic, complemented
402#2449—51no—
403#2449—51no—
404#2449—51no—
405#2449—51no—
406#2438—51no—
407#2438—51no—
408#2438—51no—
409#2438—51no—
410#2437—51no—
411#2437—51no—
412#2437—51no—
413#2437—51no—
414#2409—51no—
415#2409—51no—
416#2315—51no—
417#2315—51no—
418#2308—51no—
419C2×#386—51no—
420C2×#385—51no—
421C24×C5C2411yescharacteristic
422C24×C5C2411yescharacteristic
423C23×D5—22no—
424C23×D5—22no—
425C23×D5—41no—
426C23×D5—41no—
427C23×D5—41no—
428C23×D5—41no—
429C23×D5—41no—
430C23×D5—41no—
431C23×D5—41no—
432C23×D5—41no—
433C23×D5C2×D414yes—
434C23×D5C2×Q814yes—
435C23×D5C2×Q814yescomplemented
436C23×D5#4114yes—
437C23×D5C2411yescharacteristic
438C23×D5C2411yescharacteristic
439C23×D5C2411yescharacteristic
440C2×C5×Q8—22no—
441C2×C5×Q8—22no—
442C2×C5×Q8—41no—
443C2×C5×D4—22no—
444C2×C5×D4—22no—
445C2×C5×D4C2×Q814yescomplemented
446C22×C4×C5—22no—
447C22×C4×C5—22no—
448C22×C4×C5—22no—
449C22×C4×C5—22no—
450C22×C4×C5—22no—
451C22×C4×C5—41no—
452C22×C4×C5—41no—
453C22×C4×C5—41no—
454C22×C4×C5—41no—
455C22×C4×C5—41no—
456C22×C4×C5—41no—
457C22×C4×C5—41no—
458C22×C4×C5C2411yescharacteristic
459C22×C4×C5C2411yescharacteristic
460C22×C4×C5C2411yescharacteristic
461C22×C4×C5C2411yescharacteristic
462C22×C4×C5C2411yescharacteristic
463C22×C4×C5C2411yescharacteristic
464C22×C4×C5C2411yescharacteristic
465C22×C4×C5C2411yescharacteristic
466C22×C4×C5C2411yescharacteristic
467C22×C4×C5C2411yescharacteristic
468C22×C4×C5C2411yescharacteristic
469C22×C4×C5C2411yescharacteristic
470C22×C4×C5C2411yescharacteristic
471C2×C22⋊D5—22no—
472C2×C22⋊D5—22no—
473C2×C22⋊D5—22no—
474C2×C22⋊D5—22no—
475C2×C22⋊D5C2×Q814yes—
476C2×C22⋊D5C2×Q814yescomplemented
477C22×Dic5—22no—
478C22×Dic5—22no—
479C22×Dic5—22no—
480C22×Dic5—22no—
481C22×Dic5—22no—
482C22×Dic5—41no—
483C22×Dic5—41no—
484C22×Dic5—41no—
485C22×Dic5—41no—
486C22×Dic5—41no—
487C22×Dic5—41no—
488C22×Dic5—41no—
489C22×Dic5C2411yescharacteristic
490C22×Dic5C2411yescharacteristic
491C22×Dic5C2411yescharacteristic
492C22×Dic5C2411yescharacteristic
493C22×Dic5C2411yescharacteristic
494C22×Dic5C2411yescharacteristic
495C22×Dic5C2411yescharacteristic
496C22×Dic5C2411yescharacteristic
497C22×Dic5C2411yescharacteristic
498C22×Dic5C2411yescharacteristic
499C22×Dic5C2411yescharacteristic
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2411yescharacteristic
502Q8×D5—416no—
503D4×D5—232no—
504C2×D20—22no—
505C2×D20—22no—
506C2×D20C2×Q814yes—
507C2×C4×D5—22no—
508C2×C4×D5—22no—
509C2×C4×D5—22no—
510C2×C4×D5—22no—
511C2×C4×D5—22no—
512C2×C4×D5—22no—
513C2×C4×D5—22no—
514C2×C4×D5—22no—
515C2×C4×D5—22no—
516C2×C4×D5—22no—
517C2×C4×D5—22no—
518C2×C4×D5—22no—
519C2×C4×D5—22no—
520C2×C4×D5—22no—
521C2×C4×D5—22no—
522C2×C4×D5—22no—
523C2×C4×D5—416no—
524C2×C4×D5—41no—
525C2×C4×D5—41no—
526C2×C4×D5—41no—
527C2×C4×D5—41no—
528C2×C4×D5—41no—
529C2×C4×D5—41no—
530C2×C4×D5—41no—
531C2×C4×D5—41no—
532C2×C4×D5—41no—
533C2×C4×D5—41no—
534C2×C4×D5—41no—
535C2×C4×D5—41no—
536C2×C4×D5—41no—
537C2×C4×D5—41no—
538C2×C4×D5—41no—
539C2×C4×D5—41no—
540C2×C4×D5—41no—
541C2×C4×D5—41no—
542C2×C4×D5—41no—
543C2×C4×D5—41no—
544C2×C4×D5C2×D414yes—
545C2×C4×D5C2×D414yes—
546C2×C4×D5C2×Q814yescomplemented
547C2×Dic10—22no—
548C2×Dic10—22no—
549C2×Dic10—22no—
550C2×Dic10—22no—
551C2×Dic10—22no—
552C2×Dic10—22no—
553C2×Dic10—41no—
554C2×Dic10—41no—
555C2×Dic10—41no—
556C5×C4⋊C4—22no—
557C5×C4⋊C4—22no—
558C5×C4⋊C4—22no—
559C5×C4⋊C4—22no—
560C5×C4⋊C4—41no—
561C5×C4⋊C4—41no—
562C5×C4⋊C4—41no—
563C5×C4⋊C4—41no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C5×C22⋊C4—22no—
567C5×C22⋊C4—22no—
568C5×C22⋊C4—41no—
569C5×C22⋊C4—41no—
570C5×C22⋊C4—41no—
571C5×C22⋊C4C2×D414yes—
572C42×C5—22no—
573C22⋊Dic5—22no—
574C22⋊Dic5—22no—
575C22⋊Dic5—22no—
576C22⋊Dic5—22no—
577C22⋊Dic5—41no—
578C22⋊Dic5—41no—
579C22⋊Dic5—41no—
580C22⋊Dic5C2×D414yes—
581#685—22no—
582#685—22no—
583#685—22no—
584#685—22no—
585#685—22no—
586#685—22no—
587#685—22no—
588#685—22no—
589#685—22no—
590#685—22no—
591#685—22no—
592#685—22no—
593#685—22no—
594#685—22no—
595#685—22no—
596#685—22no—
597#685—41no—
598#685—41no—
599#685—41no—
600#685—41no—
601#685—41no—
602#685—41no—
603#685C2×D414yes—
604#685C2×D414yes—
605C4⋊Dic5—22no—
606C4⋊Dic5—22no—
607C4⋊Dic5—22no—
608C4⋊Dic5—22no—
609C4⋊Dic5—22no—
610C4⋊Dic5—22no—
611C4⋊Dic5—41no—
612C4⋊Dic5—41no—
613C4⋊Dic5—41no—
614C4⋊Dic5—41no—
615C4⋊Dic5—41no—
616C4⋊Dic5—41no—
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—41no—
628#683—41no—
629#683—41no—
630#683—41no—
631#683—41no—
632#683—41no—
633#683—41no—
634#683—41no—
635#683—41no—
636#683—41no—
637C4×Dic5—22no—
638C4×Dic5—22no—
639C4×Dic5—22no—
640C23×Q8—51no—
641C23×D4—51no—
642C24×C4—51no—
643C2×C22⋊Q8—51no—
644C2×C22⋊Q8—51no—
645C2×C22⋊Q8—51no—
646C2×C22⋊Q8—51no—
647C2×C22⋊Q8—51no—
648C2×C22⋊Q8—51no—
649C2×C22⋊Q8—51no—
650C2×C22⋊Q8—51no—
651C2×C22⋊Q8—51no—
652C2×C22⋊Q8—51no—
653C2×C22⋊Q8—51no—
654C2×C22⋊Q8—108no—
655C2×C22⋊Q8C2×D511yescharacteristic, complemented
656#518—108no—
657C2×C4×D4—51no—
658C2×C4×D4—51no—
659C2×C4×D4—51no—
660C2×C4×D4—51no—
661C2×C4×D4—51no—
662C2×C4×D4—51no—
663C2×C4×D4—51no—
664C2×C4×D4C2×D511yescharacteristic
665C2×#117—51no—
666C2×#117—51no—
667C22×C4⋊C4—51no—
668C22×C4⋊C4—51no—
669C22×C4⋊C4—51no—
670C22×C4⋊C4—51no—
671C22×C4⋊C4—51no—
672C22×C22⋊C4—51no—
673C22×C22⋊C4—51no—
674C22×C22⋊C4—51no—
675C22×C22⋊C4—51no—
676C22×C22⋊C4—51no—
677C22×C22⋊C4—51no—
678C22×C22⋊C4—51no—
679C22×C22⋊C4—51no—
680C22×C22⋊C4—51no—
681#400—51no—
682#400—51no—
683#400—51no—
684#400C2×D511yescharacteristic, complemented
685#399—51no—
686#399—51no—
687#399—51no—
688#399—51no—
689#398—51no—
690#398—51no—
691#398—51no—
692#398—51no—
693#398—51no—
694#398—51no—
695#398—51no—
696#398C2×D511yescharacteristic, complemented
697#396—51no—
698#396—51no—
699#396—51no—
700#396—51no—
701#396—51no—
702#396—51no—
703#396—51no—
704#396C2×D511yescharacteristic, complemented
705#395—51no—
706#395—51no—
707#395—51no—
708#395—51no—
709#393—51no—
710#393—51no—
711#393—51no—
712#393C2×D511yescharacteristic, complemented
713#391—51no—
714#391—51no—
715#391—51no—
716#391C2×D511yescharacteristic, complemented
717#389—51no—
718#389—51no—
719#389—51no—
720#389—51no—
721#387—51no—
722#387—51no—
723#387—51no—
724#387—51no—
725#387—51no—
726#387—51no—
727#387—51no—
728#387C2×D511yescharacteristic, complemented
729#386—51no—
730#386—51no—
731#386—51no—
732#386—51no—
733#386—51no—
734#386—51no—
735#386—51no—
736#386—51no—
737#386—51no—
738#386—51no—
739#386—51no—
740#386—51no—
741#386—51no—
742#386—51no—
743#386C2×D511yescharacteristic
744#386C2×D511yescharacteristic
745#385—51no—
746#385—51no—
747#385—51no—
748#385—51no—
749#385—51no—
750#385—51no—
751#385—51no—
752#385—51no—
753#385—51no—
754#385—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#385C2×D511yescharacteristic, complemented
775#385C2×D511yescharacteristic, complemented
776#385C2×D511yescharacteristic, complemented
777#381—51no—
778#381—51no—
779#380—51no—
780#380—51no—
781#380—51no—
782#380—51no—
783#380—51no—
784#380—51no—
785#380—51no—
786#380—51no—
787#380—51no—
788#380—51no—
789#380—51no—
790#380C2×D511yescharacteristic, complemented
791#379—51no—
792#379—51no—
793C2×#95—51no—
794C2×#95—51no—
795C2×#95—51no—
796C2×#95C2×D511yescharacteristic, complemented
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×C5C22×D412yes—
808C23×C5C22×Q812yes—
809C23×C5C22×Q812yes—
810C23×C5C2×#4112yes—
811C23×C5C2511yescharacteristic
812C22×D5—21no—
813C22×D5—21no—
814C22×D5—21no—
815C22×D5—21no—
816C22×D5—21no—
817C22×D5—21no—
818C22×D5—21no—
819C22×D5—21no—
820C22×D5—21no—
821C22×D5—21no—
822C22×D5—21no—
823C22×D5—21no—
824C22×D5—21no—
825C22×D5—21no—
826C22×D5—28no—
827C22×D5—44no—
828C22×D5—44no—
829C22×D5—44no—
830C22×D5—44no—
831C22×D5—44no—
832C22×D5—44no—
833C22×D5—44no—
834C22×D5—44no—
835C22×D5—82no—
836C22×D5—82no—
837C22×D5—82no—
838C22×D5—82no—
839C22×D5C22⋊Q8116yescomplemented
840C22×D5C22×D412yes—
841C22×D5C22×D412yes—
842C22×D5C22×Q812yes—
843C22×D5C22×Q812yes—
844C22×D5C22×Q812yes—
845C22×D5C2×#4112yes—
846C22×D5C2×#4112yes—
847C5×Q8—44no—
848C5×D4—28no—
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—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—44no—
885C2×C4×C5—44no—
886C2×C4×C5—82no—
887C2×C4×C5—82no—
888C2×C4×C5C22×D412yes—
889C2×C4×C5C22×D412yes—
890C2×C4×C5C22×Q812yes—
891C2×C4×C5H(5,𝔽2)12yes—
892C22⋊D5—28no—
893C22⋊D5—28no—
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—21no—
922C2×Dic5—21no—
923C2×Dic5—21no—
924C2×Dic5—21no—
925C2×Dic5—21no—
926C2×Dic5—21no—
927C2×Dic5—21no—
928C2×Dic5—21no—
929C2×Dic5—44no—
930C2×Dic5—44no—
931C2×Dic5—82no—
932C2×Dic5—82no—
933C2×Dic5C22×D412yes—
934C2×Dic5C22×D412yes—
935C2×Dic5C22×Q812yes—
936C2×Dic5H(5,𝔽2)12yes—
937D20—28no—
938C4×D5—28no—
939C4×D5—28no—
940C4×D5—44no—
941C4×D5—44no—
942C4×D5—44no—
943C4×D5—44no—
944C4×D5—44no—
945C4×D5—44no—
946C4×D5—44no—
947C4×D5—82no—
948C4×D5—82no—
949C4×D5—82no—
950C4×D5—82no—
951Dic10—44no—
952Dic10—44no—
953Dic10—44no—
954C25—51no—
955C25—51no—
956C22×Q8—51no—
957C22×Q8—51no—
958C22×Q8—51no—
959C22×Q8—104no—
960C22×Q8—202no—
961C22×Q8—202no—
962C22×Q8C22×D511yescharacteristic
963C22×D4—51no—
964C22×D4—51no—
965C22×D4—58no—
966C22×D4—51no—
967C22×D4—104no—
968C22×D4—104no—
969C22×D4C22×D511yescharacteristic
970C23×C4—51no—
971C23×C4—51no—
972C23×C4—51no—
973C23×C4—51no—
974C23×C4—51no—
975C23×C4—51no—
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—104no—
988C23×C4—202no—
989C23×C4—202no—
990C23×C4C22×D511yescharacteristic
991C23×C4C22×D511yescharacteristic
992C23×C4C22×D511yescharacteristic
993C23×C4C22×D511yescharacteristic
994C22⋊Q8—24no—
995C22⋊Q8—104no—
996C22⋊Q8—104no—
997C22⋊Q8—104no—
998C22⋊Q8—104no—
999C22⋊Q8—104no—
1000C22⋊Q8—104no—
1001C22⋊Q8—104no—
1002C22⋊Q8—202no—
1003C22⋊Q8—202no—
1004C22⋊Q8—202no—
1005C22⋊Q8—202no—
1006C4×D4—24no—
1007C4×D4—104no—
1008C4×D4—104no—
1009C4×D4—104no—
1010C4×D4—104no—
1011C4×D4—104no—
1012C4×D4—104no—
1013C4×D4—104no—
1014#117—104no—
1015#117—104no—
1016C2×C4⋊C4—51no—
1017C2×C4⋊C4—51no—
1018C2×C4⋊C4—51no—
1019C2×C4⋊C4—51no—
1020C2×C4⋊C4—51no—
1021C2×C4⋊C4—51no—
1022C2×C4⋊C4—51no—
1023C2×C4⋊C4—51no—
1024C2×C4⋊C4—51no—
1025C2×C4⋊C4—51no—
1026C2×C4⋊C4—51no—
1027C2×C4⋊C4—51no—
1028C2×C4⋊C4—51no—
1029C2×C4⋊C4—51no—
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—104no—
1049C2×C4⋊C4—104no—
1050C2×C4⋊C4—104no—
1051C2×C4⋊C4—202no—
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×C22⋊C4—51no—
1062C2×C22⋊C4—51no—
1063C2×C22⋊C4—51no—
1064C2×C22⋊C4—58no—
1065C2×C22⋊C4—51no—
1066C2×C22⋊C4—51no—
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—104no—
1095C2×C22⋊C4—104no—
1096C2×C22⋊C4—104no—
1097C2×C22⋊C4—104no—
1098C2×C22⋊C4—104no—
1099C2×C22⋊C4—104no—
1100C2×C22⋊C4—202no—
1101C2×C22⋊C4—202no—
1102C2×C22⋊C4C22×D511yescharacteristic
1103C2×C22⋊C4C22×D511yescharacteristic
1104C2×C22⋊C4C22×D511yescharacteristic
1105C2×C22⋊C4C22×D511yescharacteristic
1106C2×C22⋊C4C22×D511yescharacteristic
1107C2×C22⋊C4C22×D511yescharacteristic
1108C2×C22⋊C4C22×D511yescharacteristic
1109C2×C22⋊C4C22×D511yescharacteristic
1110C2×C42—51no—
1111C2×C42—51no—
1112C2×C42—51no—
1113C2×C42C22×D511yescharacteristic
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—
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#95C22×D511yescharacteristic
1143#95C22×D511yescharacteristic
1144#95C22×D511yescharacteristic
1145#95C22×D511yescharacteristic
1146#95C22×D511yescharacteristic
1147#95C22×D511yescharacteristic
1148#95C22×D511yescharacteristic
1149#95C22×D511yescharacteristic
1150#95C22×D511yescharacteristic
1151#95C22×D511yescharacteristic
1152#95C22×D511yescharacteristic
1153#95C22×D511yescharacteristic
1154C22×C5—22no—
1155C22×C5—22no—
1156C22×C5—22no—
1157C22×C5—22no—
1158C22×C5—22no—
1159C22×C5—22no—
1160C22×C5—22no—
1161C22×C5—22no—
1162C22×C5—22no—
1163C22×C5—41no—
1164C22×C5—41no—
1165C22×C5—41no—
1166C22×C5—41no—
1167C22×C5C2×C22⋊Q814yes—
1168C22×C5C23×D411yescharacteristic
1169C22×C5C23×Q811yescharacteristic
1170C22×C5C22×#4111yescharacteristic
1171C22×C5C2×H(5,𝔽2)11yescharacteristic
1172C22×C5C2×H(5,𝔽2)11yescharacteristic
1173C22×C5#58511yescharacteristic
1174C22×C5#58511yescharacteristic
1175C2×D5—22no—
1176C2×D5—22no—
1177C2×D5—22no—
1178C2×D5—22no—
1179C2×D5—22no—
1180C2×D5—22no—
1181C2×D5—22no—
1182C2×D5—22no—
1183C2×D5—22no—
1184C2×D5—22no—
1185C2×D5—22no—
1186C2×D5—22no—
1187C2×D5—22no—
1188C2×D5—22no—
1189C2×D5—22no—
1190C2×D5—416no—
1191C2×D5—41no—
1192C2×D5—41no—
1193C2×D5—41no—
1194C2×D5—41no—
1195C2×D5—88no—
1196C2×D5C2×C22⋊Q814yes—
1197C2×D5C2×C22⋊Q814yes—
1198C4×C5—22no—
1199C4×C5—22no—
1200C4×C5—22no—
1201C4×C5—22no—
1202C4×C5—41no—
1203C4×C5—41no—
1204C4×C5—41no—
1205C4×C5—41no—
1206C4×C5—41no—
1207C4×C5—41no—
1208C4×C5—41no—
1209C4×C5—41no—
1210C4×C5—41no—
1211Dic5—22no—
1212Dic5—22no—
1213Dic5—22no—
1214Dic5—22no—
1215Dic5—41no—
1216Dic5—41no—
1217Dic5—41no—
1218Dic5—41no—
1219Dic5—41no—
1220Dic5—41no—
1221Dic5—41no—
1222Dic5—41no—
1223Dic5—41no—
1224C24—51no—
1225C24—51no—
1226C24—54no—
1227C24—54no—
1228C24—54no—
1229C24—51no—
1230C24—54no—
1231C24—102no—
1232C24—102no—
1233C24—201no—
1234C24—201no—
1235C24—201no—
1236C24—201no—
1237C24—201no—
1238C24—201no—
1239C24—201no—
1240C24—201no—
1241C24C23×D511yescharacteristic
1242C24C23×D511yescharacteristic
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—41no—
1246C2×Q8—102no—
1247C2×Q8—102no—
1248C2×Q8—102no—
1249C2×Q8—102no—
1250C2×Q8—102no—
1251C2×Q8—102no—
1252C2×Q8—201no—
1253C2×Q8—201no—
1254C2×Q8—201no—
1255C2×Q8—2016no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—54no—
1259C2×D4—54no—
1260C2×D4—54no—
1261C2×D4—102no—
1262C2×D4—102no—
1263C2×D4—1032no—
1264C2×D4—102no—
1265C2×D4—102no—
1266C2×D4—102no—
1267C2×D4—102no—
1268C2×D4Q8×D514yescomplemented
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—51no—
1282C22×C4—51no—
1283C22×C4—51no—
1284C22×C4—51no—
1285C22×C4—54no—
1286C22×C4—54no—
1287C22×C4—54no—
1288C22×C4—51no—
1289C22×C4—51no—
1290C22×C4—51no—
1291C22×C4—51no—
1292C22×C4—51no—
1293C22×C4—51no—
1294C22×C4—51no—
1295C22×C4—51no—
1296C22×C4—51no—
1297C22×C4—102no—
1298C22×C4—102no—
1299C22×C4—102no—
1300C22×C4—102no—
1301C22×C4—102no—
1302C22×C4—102no—
1303C22×C4—102no—
1304C22×C4—102no—
1305C22×C4—102no—
1306C22×C4—102no—
1307C22×C4—102no—
1308C22×C4—102no—
1309C22×C4—102no—
1310C22×C4—102no—
1311C22×C4—102no—
1312C22×C4—102no—
1313C22×C4—102no—
1314C22×C4—102no—
1315C22×C4—102no—
1316C22×C4—102no—
1317C22×C4—102no—
1318C22×C4—201no—
1319C22×C4—201no—
1320C22×C4—201no—
1321C22×C4—201no—
1322C22×C4—201no—
1323C22×C4—201no—
1324C22×C4—201no—
1325C22×C4—201no—
1326C22×C4—201no—
1327C22×C4—201no—
1328C22×C4—201no—
1329C22×C4—201no—
1330C22×C4—201no—
1331C22×C4—201no—
1332C22×C4—201no—
1333C22×C4—201no—
1334C22×C4—201no—
1335C22×C4—201no—
1336C22×C4—201no—
1337C22×C4—201no—
1338C22×C4—2016no—
1339C22×C4—201no—
1340C22×C4—201no—
1341C22×C4—201no—
1342C22×C4—201no—
1343C22×C4—201no—
1344C22×C4—201no—
1345C22×C4—201no—
1346C22×C4C23×D511yescharacteristic
1347C22×C4C23×D511yescharacteristic
1348C22×C4C23×D511yescharacteristic
1349C22×C4C23×D511yescharacteristic
1350C22×C4C23×D511yescharacteristic
1351C22×C4C23×D511yescharacteristic
1352C22×C4C23×D511yescharacteristic
1353C22×C4C23×D511yescharacteristic
1354C22×C4C23×D511yescharacteristic
1355C22×C4C23×D511yescharacteristic
1356C22×C4C23×D511yescharacteristic
1357C22×C4C23×D511yescharacteristic
1358C22×C4C23×D511yescharacteristic
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—102no—
1368C4⋊C4—102no—
1369C4⋊C4—102no—
1370C4⋊C4—102no—
1371C4⋊C4—102no—
1372C4⋊C4—102no—
1373C4⋊C4—102no—
1374C4⋊C4—102no—
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—201no—
1384C4⋊C4—201no—
1385C4⋊C4—201no—
1386C4⋊C4—201no—
1387C4⋊C4—201no—
1388C4⋊C4—201no—
1389C4⋊C4—201no—
1390C4⋊C4—201no—
1391C4⋊C4—201no—
1392C4⋊C4—201no—
1393C4⋊C4—201no—
1394C4⋊C4—201no—
1395C4⋊C4—201no—
1396C4⋊C4—201no—
1397C4⋊C4—201no—
1398C4⋊C4—201no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—54no—
1407C22⋊C4—54no—
1408C22⋊C4—54no—
1409C22⋊C4—102no—
1410C22⋊C4—102no—
1411C22⋊C4—102no—
1412C22⋊C4—102no—
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—201no—
1430C22⋊C4—201no—
1431C22⋊C4—201no—
1432C22⋊C4—201no—
1433C22⋊C4—201no—
1434C22⋊C4—201no—
1435C22⋊C4—201no—
1436C22⋊C4—201no—
1437C22⋊C4—201no—
1438C22⋊C4D4×D514yes—
1439C42—22no—
1440C42—102no—
1441C42—102no—
1442C42—102no—
1443C2×C5—24no—
1444C2×C5—42no—
1445C2×C5C22×C22⋊Q811yescharacteristic
1446C2×C5#348411yescharacteristic
1447C2×C5#348511yescharacteristic
1448C2×C5#350111yescharacteristic
1449C2×C5#350111yescharacteristic
1450C2×C5#350511yescharacteristic
1451C2×C5#350511yescharacteristic
1452D5—24no—
1453D5—24no—
1454D5—42no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—52no—
1466C23—52no—
1467C23—52no—
1468C23—52no—
1469C23—52no—
1470C23—52no—
1471C23—516no—
1472C23—52no—
1473C23—108no—
1474C23—101no—
1475C23—101no—
1476C23—101no—
1477C23—101no—
1478C23—101no—
1479C23—101no—
1480C23—101no—
1481C23—101no—
1482C23—101no—
1483C23—101no—
1484C23—101no—
1485C23—101no—
1486C23—101no—
1487C23—101no—
1488C23—204no—
1489C23—204no—
1490C23—204no—
1491C23—204no—
1492C23—204no—
1493C23—204no—
1494C23—204no—
1495C23—204no—
1496C23—402no—
1497C23—402no—
1498C23—402no—
1499C23—402no—
1500C23C2×D4×D512yes—
1501C23C2×Q8×D512yes—
1502C23C2×Q8×D512yes—
1503C23D5×#4112yes—
1504C23C24×D511yescharacteristic
1505Q8—44no—
1506Q8—204no—
1507Q8—204no—
1508Q8—204no—
1509D4—28no—
1510D4—108no—
1511D4—108no—
1512D4—108no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
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—44no—
1549C2×C4—44no—
1550C2×C4—52no—
1551C2×C4—52no—
1552C2×C4—52no—
1553C2×C4—52no—
1554C2×C4—82no—
1555C2×C4—82no—
1556C2×C4—108no—
1557C2×C4—108no—
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—101no—
1567C2×C4—101no—
1568C2×C4—101no—
1569C2×C4—101no—
1570C2×C4—101no—
1571C2×C4—101no—
1572C2×C4—101no—
1573C2×C4—101no—
1574C2×C4—101no—
1575C2×C4—101no—
1576C2×C4—101no—
1577C2×C4—101no—
1578C2×C4—101no—
1579C2×C4—101no—
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—204no—
1594C2×C4—204no—
1595C2×C4—204no—
1596C2×C4—204no—
1597C2×C4—204no—
1598C2×C4—204no—
1599C2×C4—204no—
1600C2×C4—204no—
1601C2×C4—204no—
1602C2×C4—402no—
1603C2×C4—402no—
1604C2×C4—402no—
1605C2×C4—402no—
1606C2×C4—402no—
1607C2×C4—402no—
1608C2×C4C2×D4×D512yes—
1609C2×C4C2×D4×D512yes—
1610C2×C4C2×Q8×D512yes—
1611C2×C4#414912yes—
1612C5#3534911yescharacteristic, complemented, Sylow
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—54no—
1627C22—54no—
1628C22—102no—
1629C22—102no—
1630C22—102no—
1631C22—102no—
1632C22—102no—
1633C22—102no—
1634C22—102no—
1635C22—102no—
1636C22—102no—
1637C22—102no—
1638C22—102no—
1639C22—102no—
1640C22—102no—
1641C22—102no—
1642C22—102no—
1643C22—2016no—
1644C22—201no—
1645C22—201no—
1646C22—201no—
1647C22—201no—
1648C22—408no—
1649C22D5×C22⋊Q814yes—
1650C22C22×D4×D511yescharacteristic
1651C22C22×Q8×D511yescharacteristic
1652C22C2×D5×#4111yescharacteristic
1653C22C2×#414911yescharacteristic
1654C22#6628311yescharacteristic
1655C22D5×H(5,𝔽2)11yescharacteristic
1656C22#6628511yescharacteristic
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—102no—
1671C4—102no—
1672C4—102no—
1673C4—102no—
1674C4—201no—
1675C4—201no—
1676C4—201no—
1677C4—201no—
1678C4—201no—
1679C4—201no—
1680C4—201no—
1681C4—201no—
1682C4—201no—
1683C2—24no—
1684C2—42no—
1685C2—104no—
1686C2—104no—
1687C2—202no—
1688C2C2×D5×C22⋊Q811yescharacteristic
1689C2#1061805911yescharacteristic
1690C2#1061831611yescharacteristic
1691C2#1061856311yescharacteristic
1692C2#1061856411yescharacteristic
1693C2#1061884911yescharacteristic
1694C2#1061885011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2450C2
prime radicalC22×D4×D5C22
hypercenter#2450D5
hypocenterC5#35349
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. C2×D5×C22⋊Q8C2semidirect
3. C5×#2450C2semidirect
4. #10614495C2semidirect
5. #10614092C2semidirect
6. #10610073C2semidirect
7. #10609877C2semidirect
8. #10609691C2semidirect
9. #10609680C2semidirect
10. #10609153C2semidirect
11. #10609149C2semidirect
12. #10608596C2semidirect
13. #10608511C2semidirect
14. #10608358C2semidirect
15. #10608350C2semidirect
16. #10607101C2semidirect
17. #10607049C2semidirect
20. #10606441C2semidirect
21. #10606440C2semidirect
22. #10606347C2semidirect
23. #10606322C2semidirect
24. #10606322C2semidirect
25. #10606154C2semidirect
26. #10606153C2semidirect
27. #10606144C2semidirect
28. #10605643C2semidirect
29. #10605627C2semidirect
30. C2×#64957C2semidirect
31. #10605082C2semidirect
32. C22×Q8×D5C22semidirect
35. C2×C5×C22⋊Q8C22semidirect
38. C2×#4092C22semidirect
45. C22×C4⋊Dic5C22semidirect
46. C2×#4070C22semidirect
47. C22×#683C22semidirect
51. C2×#4043C22semidirect
56. C2×D5×C4⋊C4C22semidirect
57. C2×D5×C4⋊C4C22semidirect
58. C2×D5×C4⋊C4C22semidirect
67. C2×#4024C22semidirect
68. C2×#4024C22semidirect
69. C2×#4024C22semidirect
70. C2×#4024C22semidirect
73. C5×#400C22semidirect
74. C5×#398C22semidirect
75. C5×#396C22semidirect
76. C5×#393C22semidirect
77. C5×#391C22semidirect
78. C5×#387C22semidirect
81. C5×#385C22semidirect
82. C5×#385C22semidirect
83. C5×#385C22semidirect
84. C5×#380C22semidirect
85. C2×C5×#95C22semidirect
86. #65518C22semidirect
91. #65501C22semidirect
92. #65499C22semidirect
93. #65499C22semidirect
94. #65499C22semidirect
95. C2×#3963C22semidirect
96. #65283C22semidirect
97. #65283C22semidirect
98. #65283C22semidirect
99. #65281C22semidirect
102. #65278C22semidirect
103. #65278C22semidirect
104. #65278C22semidirect
105. #65278C22semidirect
108. #65276C22semidirect
109. #65276C22semidirect
110. #65275C22semidirect
111. #65274C22semidirect
112. #65273C22semidirect
113. #65273C22semidirect
114. #65272C22semidirect
115. #65270C22semidirect
116. #65269C22semidirect
117. #65267C22semidirect
118. #65262C22semidirect
127. #65239C22semidirect
128. #65239C22semidirect
129. #65239C22semidirect
130. #65238C22semidirect
131. #65238C22semidirect
132. #65237C22semidirect
133. #65237C22semidirect
134. #65237C22semidirect
135. #65236C22semidirect
136. #65235C22semidirect
137. #65235C22semidirect
138. #65235C22semidirect
139. #65222C22semidirect
140. #65218C22semidirect
141. #64966C22semidirect
142. #64965C22semidirect
143. #64962C22semidirect
144. #64962C22semidirect
151. #64957C22semidirect
152. #64957C22semidirect
153. #64957C22semidirect
154. #64957C22semidirect
155. #64957C22semidirect
156. #64957C22semidirect
157. #64957C22semidirect
158. #64957C22semidirect
161. #64956C22semidirect
162. #64956C22semidirect
163. #64956C22semidirect
164. #64956C22semidirect
173. #64950C22semidirect
174. #64947C22semidirect
175. #64947C22semidirect
176. #64946C22semidirect
177. #64946C22semidirect
178. #64945C22semidirect
179. #64945C22semidirect
180. #64945C22semidirect
181. #64944C22semidirect
182. #64943C22semidirect
183. #64942C22semidirect
184. #64941C22semidirect
185. #64936C22semidirect
186. #64936C22semidirect
187. #64935C22semidirect
188. #64935C22semidirect
209. C2×D4×D5Q8semidirect
401. #2450D5semidirect
435. C23×D5C2×Q8semidirect
445. C2×C5×D4C2×Q8semidirect
476. C2×C22⋊D5C2×Q8semidirect
546. C2×C4×D5C2×Q8semidirect
655. C2×C22⋊Q8C2×D5semidirect
684. #400C2×D5semidirect
696. #398C2×D5semidirect
704. #396C2×D5semidirect
712. #393C2×D5semidirect
716. #391C2×D5semidirect
728. #387C2×D5semidirect
774. #385C2×D5semidirect
775. #385C2×D5semidirect
776. #385C2×D5semidirect
790. #380C2×D5semidirect
796. C2×#95C2×D5semidirect
839. C22×D5C22⋊Q8semidirect
1268. C2×D4Q8×D5semidirect
1612. C5#35349semidirect

Maximal subgroups

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

subgroupindex
C2×D5×C22⋊Q82
C2×#658792
C5×#24502
#106144952
#106140922
#106100732
#106098772
#106096912
#106096802
#106091532
#106091492
#106085962
#106085112
#106083582
#106083502
#106071012
#106070492
#106066052
D5×#3862
#106064412
#106064402
#106063472
#106063222
#106061542
#106061532
#106061442
#106056432
#106056272
C2×#649572
#106050822
#353495