Finite Group Databasebeta

← #12269478

Subgroups — #12269478

Order 1280.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65914C211yesmaximal, characteristic, complemented
2C2×#65858C211yesmaximal, characteristic, complemented
3C5×#2396C211yesmaximal, characteristic, complemented
4C4×#4093C211yesmaximal, characteristic, complemented
5#10613956C211yesmaximal, characteristic, complemented
6#10610077C211yesmaximal, characteristic, complemented
7#10609910C211yesmaximal, characteristic, complemented
8#10609838C211yesmaximal, characteristic, complemented
9#10609769C211yesmaximal, characteristic, complemented
10#10609688C211yesmaximal, characteristic, complemented
11#10609679C211yesmaximal, characteristic, complemented
12#10609522C211yesmaximal, characteristic, complemented
13#10609521C211yesmaximal, characteristic, complemented
14#10609152C211yesmaximal, characteristic, complemented
15#10609147C211yesmaximal, characteristic, complemented
16#10609049C211yesmaximal, characteristic, complemented
17#10609047C211yesmaximal, characteristic, complemented
18#10608984C211yesmaximal, characteristic, complemented
19#10608918C211yesmaximal, characteristic, complemented
20#10608528C211yesmaximal, characteristic, complemented
21#10608521C211yesmaximal, characteristic, complemented
22#10605508C211yesmaximal, characteristic, complemented
23#10605507C211yesmaximal, characteristic, complemented
24C4×#4040C211yesmaximal, characteristic, complemented
25C4×#4041C211yesmaximal, characteristic, complemented
26C4×#4041C211yesmaximal, characteristic, complemented
27C4×#4039C211yesmaximal, characteristic, complemented
28#10605311C211yesmaximal, characteristic, complemented
29C4×#4028C211yesmaximal, characteristic, complemented
30#10605294C211yesmaximal, characteristic, complemented
31C4×D5×C22⋊C4C211yesmaximal, characteristic, complemented
32C22×#709C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C2×C4×C5×Q8C2211yescharacteristic, complemented
35C2×C5×#117C2211yescharacteristic
36C2×#4093C2211yescharacteristic
37C2×#4093C2211yescharacteristic, complemented
38C2×#4092C2211yescharacteristic
39C2×C4×C22⋊D5C2211yescharacteristic
40#65914—28no—
41#65858—28no—
42C2×#4044C2211yescharacteristic, complemented
43C2×#4044C2211yescharacteristic, complemented
44C2×#4043C2211yescharacteristic
45C2×#4043C2211yescharacteristic
46C2×#4041C2211yescharacteristic
47C2×#4041C2211yescharacteristic
48C2×#4041C2211yescharacteristic
49C2×#4041C2211yescharacteristic
50C2×#4041C2211yescharacteristic
51C2×#4040C2211yescharacteristic
52C2×#4040C2211yescharacteristic
53C2×#4040C2211yescharacteristic
54C2×#4039C2211yescharacteristic
55C2×#4039C2211yescharacteristic
56C2×#4036C2211yescharacteristic, complemented
57C2×#4032C2211yescharacteristic
58C2×#4032C2211yescharacteristic
59C2×#4028C2211yescharacteristic
60C2×#4028C2211yescharacteristic
61C2×#4028C2211yescharacteristic
62C2×D5×C22⋊C4C2211yescharacteristic
63C2×D5×C22⋊C4C2211yescharacteristic
64C2×C4×D20C2211yescharacteristic
65C2×C4×D20C2211yescharacteristic
66C2×C4×D20C2211yescharacteristic
67C2×C4×D20C2211yescharacteristic
68C2×C4×D20C2211yescharacteristic
69C2×C4×D20C2211yescharacteristic
70C2×C4×D20C2211yescharacteristic, complemented
71C2×C4×D20C2211yescharacteristic, complemented
72C2×#4018C2211yescharacteristic, complemented
73C2×#4018C2211yescharacteristic, complemented
74C2×C42×D5C2211yescharacteristic
75C2×C42×D5C2211yescharacteristic
76C2×C42×D5C2211yescharacteristic, complemented
77C5×#400C2211yescharacteristic, complemented
78C5×#399C2211yescharacteristic
79C5×#398C2211yescharacteristic, complemented
80C5×#398C2211yescharacteristic, complemented
81C5×#396C2211yescharacteristic
82C5×#396C2211yescharacteristic
83C5×#395C2211yescharacteristic, complemented
84C5×#393C2211yescharacteristic
85C4×C5×C4⋊C4C2211yescharacteristic, complemented
86C4×C5×C4⋊C4C2211yescharacteristic, complemented
87C4×C5×C4⋊C4C2211yescharacteristic, complemented
88C4×C5×C22⋊C4C2211yescharacteristic
89C4×C5×C22⋊C4C2211yescharacteristic
90#65519C2211yescharacteristic, complemented
91C4×C22⋊Dic5C2211yescharacteristic
92#65283C2211yescharacteristic
93#65283C2211yescharacteristic, complemented
94#65282C2211yescharacteristic, complemented
95#65281C2211yescharacteristic
96#65280C2211yescharacteristic
97#65280C2211yescharacteristic
98#65280C2211yescharacteristic, complemented
99#65279C2211yescharacteristic
100#65279C2211yescharacteristic
101#65279C2211yescharacteristic, complemented
102#65279C2211yescharacteristic, complemented
103#65279C2211yescharacteristic, complemented
104#65279C2211yescharacteristic, complemented
105#65279C2211yescharacteristic, complemented
106#65278C2211yescharacteristic
107#65277C2211yescharacteristic
108#65277C2211yescharacteristic
109#65277C2211yescharacteristic, complemented
110#65276C2211yescharacteristic
111#65276C2211yescharacteristic, complemented
112#65274C2211yescharacteristic, complemented
113#65274C2211yescharacteristic, complemented
114#65273C2211yescharacteristic, complemented
115#65270C2211yescharacteristic, complemented
116#65266C2211yescharacteristic, complemented
117C4⋊C4×Dic5C2211yescharacteristic, complemented
118C4⋊C4×Dic5C2211yescharacteristic, complemented
119#65261C2211yescharacteristic, complemented
120#65261C2211yescharacteristic, complemented
121#65250C2211yescharacteristic
122#65250C2211yescharacteristic
123#65249C2211yescharacteristic
124#65249C2211yescharacteristic
125#65247C2211yescharacteristic
126#65246C2211yescharacteristic
127#65246C2211yescharacteristic
128#65246C2211yescharacteristic
129#65246C2211yescharacteristic
130#65245C2211yescharacteristic
131#65245C2211yescharacteristic
132#65244C2211yescharacteristic
133#65239C2211yescharacteristic
134#65234C2211yescharacteristic
135#65234C2211yescharacteristic
136C22⋊C4×Dic5C2211yescharacteristic
137C22⋊C4×Dic5C2211yescharacteristic
138C4×#685C2211yescharacteristic
139C4×#685C2211yescharacteristic
140C4×#685C2211yescharacteristic
141C4×#685C2211yescharacteristic
142C4×#685C2211yescharacteristic, complemented
143C4×#685C2211yescharacteristic, complemented
144C4×#685C2211yescharacteristic, complemented
145C4×#685C2211yescharacteristic, complemented
146C4×#685C2211yescharacteristic, complemented
147C4×#683C2211yescharacteristic, complemented
148C42×Dic5C2211yescharacteristic, complemented
149#64964C2211yescharacteristic
150#64964C2211yescharacteristic, complemented
151#64963C2211yescharacteristic, complemented
152#64962C2211yescharacteristic, complemented
153#64961C2211yescharacteristic
154#64961C2211yescharacteristic
155#64961C2211yescharacteristic, complemented
156#64960C2211yescharacteristic
157#64960C2211yescharacteristic, complemented
158#64959C2211yescharacteristic
159#64959C2211yescharacteristic, complemented
160#64959C2211yescharacteristic, complemented
161#64959C2211yescharacteristic, complemented
162#64958C2211yescharacteristic, complemented
163#64957C2211yescharacteristic
164#64957C2211yescharacteristic
165#64955C2211yescharacteristic
166#64955C2211yescharacteristic
167#64955C2211yescharacteristic
168#64955C2211yescharacteristic
169#64955C2211yescharacteristic, complemented
170#64955C2211yescharacteristic, complemented
171#64954C2211yescharacteristic
172#64954C2211yescharacteristic
173#64954C2211yescharacteristic
174#64954C2211yescharacteristic
175#64954C2211yescharacteristic
176#64954C2211yescharacteristic
177#64954C2211yescharacteristic, complemented
178#64954C2211yescharacteristic, complemented
179#64954C2211yescharacteristic, complemented
180#64953C2211yescharacteristic
181D5×#95C2211yescharacteristic
182D5×#95C2211yescharacteristic
183#64950C2211yescharacteristic, complemented
184#64949C2211yescharacteristic, complemented
185#64945C2211yescharacteristic, complemented
186#64944C2211yescharacteristic, complemented
187#64935C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#34829—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C22×C5×Q8C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C22×C22⋊D5C2311yescharacteristic
194C22×C22⋊D5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C2×#709—24no—
198C2×#709—24no—
199C2×#709—42no—
200C22×D20C2311yescharacteristic
201C22×D20C2311yescharacteristic
202C22×D20C2311yescharacteristic
203C22×D20C2311yescharacteristic
204C22×D20C2311yescharacteristic
205C22×D20C2311yescharacteristic
206C22×D20C2311yescharacteristic
207C22×D20C2311yescharacteristic
208C22×D20C2311yescharacteristic
209C22×C4×D5—24no—
210C22×C4×D5—24no—
211C22×C4×D5—42no—
212C22×C4×D5C2311yescharacteristic
213C22×C4×D5C2311yescharacteristic
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×Dic10C2311yescharacteristic
226C4×C5×Q8—24no—
227C5×#117—24no—
228C2×C5×C4⋊C4C2311yescharacteristic
229C2×C5×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C4⋊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×C42×C5C2311yescharacteristic
246C2×C42×C5C2311yescharacteristic
247C2×C42×C5C2311yescharacteristic
248C2×C42×C5C2311yescharacteristic
249C2×C42×C5C2311yescharacteristic
250C2×C42×C5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254#4093—24no—
255#4093—24no—
256#4092—24no—
257C4×C22⋊D5—24no—
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×#685C2311yescharacteristic
261C2×#685C2311yescharacteristic
262C2×#685C2311yescharacteristic
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
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×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×#685C2311yescharacteristic
297C2×C4⋊Dic5C2311yescharacteristic
298C2×C4⋊Dic5C2311yescharacteristic
299C2×C4⋊Dic5C2311yescharacteristic
300C2×C4⋊Dic5C2311yescharacteristic
301C2×C4⋊Dic5C2311yescharacteristic
302C2×C4⋊Dic5C2311yescharacteristic
303C2×C4⋊Dic5C2311yescharacteristic
304C2×C4⋊Dic5C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×C4×Dic5C2311yescharacteristic
313C2×C4×Dic5C2311yescharacteristic
314C2×C4×Dic5C2311yescharacteristic
315C2×C4×Dic5C2311yescharacteristic
316C2×C4×Dic5C2311yescharacteristic
317C2×C4×Dic5C2311yescharacteristic
318C2×C4×Dic5C2311yescharacteristic
319C2×C4×Dic5C2311yescharacteristic
320C2×C4×Dic5C2311yescharacteristic
321C2×C4×Dic5C2311yescharacteristic
322C2×C4×Dic5C2311yescharacteristic
323C2×C4×Dic5C2311yescharacteristic
324C2×C4×Dic5C2311yescharacteristic
325#4044—24no—
326#4044—24no—
327#4043—24no—
328#4043—24no—
329#4041—24no—
330#4041—24no—
331#4041—24no—
332#4041—24no—
333#4041—24no—
334#4040—24no—
335#4040—24no—
336#4040—24no—
337#4039—24no—
338#4039—24no—
339#4036—24no—
340#4032—24no—
341#4032—24no—
342#4028—24no—
343#4028—24no—
344#4028—24no—
345D5×C22⋊C4—24no—
346D5×C22⋊C4—24no—
347C4×D20—24no—
348C4×D20—24no—
349C4×D20—24no—
350C4×D20—24no—
351C4×D20—24no—
352C4×D20—42no—
353C4×D20—42no—
354C4×D20D418yescomplemented
355#4018—24no—
356#4018—24no—
357C42×D5—24no—
358C42×D5—42no—
359C42×D5—42no—
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364C5×#95C2311yescharacteristic
365C5×#95C2311yescharacteristic
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
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×#529—51no—
393C2×#525—51no—
394#2560—51no—
395#2559—51no—
396#2558—51no—
397#2557—51no—
398#2556—51no—
399#2555—51no—
400#2554—51no—
401#2553—51no—
402#2549—51no—
403#2543—51no—
404#2539—51no—
405#2534—51no—
406#2488—51no—
407#2472—51no—
408#2425—51no—
409#2424—51no—
410#2396D511yescharacteristic, complemented
411#2395—51no—
412#2392—51no—
413#2388—51no—
414C4×#124—51no—
415C4×#123—51no—
416C4×#121—51no—
417C4×#121—51no—
418C4×#120—51no—
419#2297—51no—
420#2293—51no—
421C42×D4—51no—
422C2×C4×C22⋊C4—51no—
423C24×C5C2411yescharacteristic
424C23×D5—22no—
425C23×D5—22no—
426C23×D5—22no—
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—41no—
430C23×D5—41no—
431C23×D5C2411yescharacteristic
432C23×D5C2411yescharacteristic
433C23×D5C2411yescharacteristic
434C23×D5C2411yescharacteristic
435C23×D5C2411yescharacteristic
436C2×C5×Q8—22no—
437C2×C5×Q8—22no—
438C2×C5×Q8—41no—
439C22×C4×C5—22no—
440C22×C4×C5—22no—
441C22×C4×C5#4114yes—
442C22×C4×C5C2411yescharacteristic
443C22×C4×C5C2411yescharacteristic
444C22×C4×C5C2411yescharacteristic
445C22×C4×C5C2411yescharacteristic
446C22×C4×C5C2411yescharacteristic
447C22×C4×C5C2411yescharacteristic
448C22×C4×C5C2411yescharacteristic
449C22×C4×C5C2411yescharacteristic
450C22×C4×C5C2411yescharacteristic
451C22×C4×C5C2411yescharacteristic
452C22×C4×C5C2411yescharacteristic
453C22×C4×C5C2411yescharacteristic
454C22×C4×C5C2411yescharacteristic
455C22×C4×C5C2411yescharacteristic
456C2×C22⋊D5—22no—
457C2×C22⋊D5—22no—
458C2×C22⋊D5—22no—
459C2×C22⋊D5—22no—
460C2×C22⋊D5—22no—
461C2×C22⋊D5—22no—
462C2×C22⋊D5—41no—
463C2×C22⋊D5—41no—
464C2×C22⋊D5—41no—
465C22×Dic5—22no—
466C22×Dic5—22no—
467C22×Dic5—41no—
468C22×Dic5C2411yescharacteristic
469C22×Dic5C2411yescharacteristic
470C22×Dic5C2411yescharacteristic
471C22×Dic5C2411yescharacteristic
472C22×Dic5C2411yescharacteristic
473C22×Dic5C2411yescharacteristic
474C22×Dic5C2411yescharacteristic
475C22×Dic5C2411yescharacteristic
476C22×Dic5C2411yescharacteristic
477C22×Dic5C2411yescharacteristic
478C22×Dic5C2411yescharacteristic
479#709—416no—
480C2×D20—22no—
481C2×D20—22no—
482C2×D20—22no—
483C2×D20—22no—
484C2×D20—22no—
485C2×D20—22no—
486C2×D20—22no—
487C2×D20—22no—
488C2×D20—22no—
489C2×D20—22no—
490C2×D20—22no—
491C2×D20—22no—
492C2×D20—22no—
493C2×D20—22no—
494C2×D20—22no—
495C2×D20—22no—
496C2×D20—22no—
497C2×D20—22no—
498C2×D20—22no—
499C2×D20—41no—
500C2×D20—41no—
501C2×D20—41no—
502C2×D20—41no—
503C2×D20—41no—
504C2×D20—41no—
505C2×D20—41no—
506C2×D20C2×D414yes—
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—22no—
524C2×C4×D5—22no—
525C2×C4×D5—22no—
526C2×C4×D5—22no—
527C2×C4×D5—22no—
528C2×C4×D5—22no—
529C2×C4×D5—22no—
530C2×C4×D5—22no—
531C2×C4×D5—22no—
532C2×C4×D5—22no—
533C2×C4×D5—22no—
534C2×C4×D5—416no—
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×D5#4114yescomplemented
547C2×Dic10—22no—
548C2×Dic10—22no—
549C2×Dic10—41no—
550C5×C4⋊C4—22no—
551C5×C4⋊C4—22no—
552C5×C4⋊C4—22no—
553C5×C4⋊C4—22no—
554C5×C4⋊C4—22no—
555C5×C4⋊C4—22no—
556C5×C4⋊C4—22no—
557C5×C4⋊C4—22no—
558C5×C4⋊C4—22no—
559C5×C4⋊C4—22no—
560C5×C4⋊C4—41no—
561C5×C22⋊C4—22no—
562C5×C22⋊C4—22no—
563C5×C22⋊C4—22no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C5×C22⋊C4—41no—
567C42×C5—22no—
568C42×C5—22no—
569C42×C5—22no—
570C42×C5—22no—
571C42×C5—22no—
572C42×C5C2×D414yes—
573C22⋊Dic5—22no—
574C22⋊Dic5—22no—
575C22⋊Dic5—22no—
576#685—22no—
577#685—22no—
578#685—22no—
579#685—22no—
580#685—22no—
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—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—41no—
607#685—41no—
608#685—41no—
609#685—41no—
610#685—41no—
611#685C2×D414yes—
612#685C2×D414yes—
613#685#4114yescomplemented
614#685#4114yescomplemented
615C4⋊Dic5—22no—
616C4⋊Dic5—22no—
617C4⋊Dic5—22no—
618C4⋊Dic5—22no—
619C4⋊Dic5—22no—
620C4⋊Dic5—41no—
621C4⋊Dic5—41no—
622C4⋊Dic5C2×D414yes—
623#683—22no—
624#683—22no—
625#683—22no—
626#683—22no—
627#683—22no—
628#683—22no—
629#683—41no—
630C4×Dic5—22no—
631C4×Dic5—22no—
632C4×Dic5—22no—
633C4×Dic5—22no—
634C4×Dic5—22no—
635C4×Dic5—22no—
636C4×Dic5—22no—
637C4×Dic5—22no—
638C4×Dic5—41no—
639C4×Dic5—41no—
640C4×Dic5—41no—
641C4×Dic5—41no—
642C4×Dic5—41no—
643C22×#41—51no—
644C24×C4—51no—
645#529—108no—
646C2×#126—51no—
647C2×#126—51no—
648C2×#125—51no—
649C2×#124—51no—
650C2×#124—51no—
651#525—108no—
652C2×#123—51no—
653C2×#123—51no—
654C2×#123—51no—
655C2×#123—51no—
656C2×#123—51no—
657C2×C22⋊Q8—51no—
658C2×C22⋊Q8—51no—
659C2×C22⋊Q8—51no—
660C2×#121—51no—
661C2×#121—51no—
662C2×#121—51no—
663C2×#121—51no—
664C2×#121—51no—
665C2×#120—51no—
666C2×#120—51no—
667C2×#120—51no—
668C2×C4×Q8C2×D511yescharacteristic, complemented
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—51no—
677C2×C4×D4—51no—
678C2×C4×D4—51no—
679C2×C4×D4—51no—
680C2×#117—51no—
681C2×#117—51no—
682C2×#117C2×D511yescharacteristic
683C22×C22⋊C4—51no—
684C22×C22⋊C4—51no—
685C22×C42—51no—
686C22×C42—51no—
687C22×C42—51no—
688#400—51no—
689#400C2×D511yescharacteristic, complemented
690#399—51no—
691#399C2×D511yescharacteristic
692#398—51no—
693#398—51no—
694#398C2×D511yescharacteristic, complemented
695#398C2×D511yescharacteristic, complemented
696#397—51no—
697#397—51no—
698#397—51no—
699#397—51no—
700#396—51no—
701#396—51no—
702#396C2×D511yescharacteristic
703#396C2×D511yescharacteristic
704#395—51no—
705#395C2×D511yescharacteristic, complemented
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#393—51no—
715#393C2×D511yescharacteristic
716#392—51no—
717#392—51no—
718#392—51no—
719#392—51no—
720#391—51no—
721#391—51no—
722#391—51no—
723#390—51no—
724#390—51no—
725#390—51no—
726#390—51no—
727#390—51no—
728#390—51no—
729#390—51no—
730#389—51no—
731#389—51no—
732#389—51no—
733#389—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#388—51no—
747#388—51no—
748#387—51no—
749#387—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#386—51no—
761#386—51no—
762#385—51no—
763#385—51no—
764#385—51no—
765#385—51no—
766#382—51no—
767#381—51no—
768#380—51no—
769#380—51no—
770#379—51no—
771C4×C4⋊C4—51no—
772C4×C4⋊C4—51no—
773C4×C4⋊C4—51no—
774C4×C4⋊C4C2×D511yescharacteristic, complemented
775C4×C4⋊C4C2×D511yescharacteristic, complemented
776C4×C4⋊C4C2×D511yescharacteristic, complemented
777C4×C22⋊C4—51no—
778C4×C22⋊C4—51no—
779C4×C22⋊C4—51no—
780C4×C22⋊C4—51no—
781C4×C22⋊C4—51no—
782C4×C22⋊C4—51no—
783C4×C22⋊C4—51no—
784C4×C22⋊C4—51no—
785C4×C22⋊C4—51no—
786C4×C22⋊C4—51no—
787C4×C22⋊C4—51no—
788C4×C22⋊C4—51no—
789C4×C22⋊C4—51no—
790C4×C22⋊C4—51no—
791C4×C22⋊C4—51no—
792C4×C22⋊C4—51no—
793C4×C22⋊C4—51no—
794C4×C22⋊C4—51no—
795C4×C22⋊C4C2×D511yescharacteristic
796C4×C22⋊C4C2×D511yescharacteristic
797C2×#95—51no—
798C2×#95—51no—
799C43—51no—
800C23×C5—21no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5C2×#4112yes—
807C23×C5C2511yescharacteristic
808C22×D5—21no—
809C22×D5—21no—
810C22×D5—21no—
811C22×D5—21no—
812C22×D5—28no—
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—21no—
827C22×D5—21no—
828C22×D5—21no—
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—44no—
840C22×D5—44no—
841C22×D5—44no—
842C22×D5—44no—
843C22×D5—44no—
844C22×D5—44no—
845C22×D5C22×D412yes—
846C22×D5C22×D412yes—
847C22×D5C2×#4112yes—
848C22×D5C2×#4112yes—
849C22×D5C2×#4112yes—
850C5×Q8—44no—
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—28no—
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×C5C22×D412yes—
886C2×C4×C5C22×D412yes—
887C2×C4×C5C22×D412yes—
888C2×C4×C5C2×#4112yes—
889C2×C4×C5C2×#4112yes—
890C2×C4×C5C2×#4112yes—
891C2×C4×C5C2×#4112yes—
892C2×C4×C5C2×#4112yes—
893C2×C4×C5H(5,𝔽2)12yes—
894C22⋊D5—44no—
895C22⋊D5—44no—
896C22⋊D5—44no—
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—44no—
926C2×Dic5C22×D412yes—
927C2×Dic5C22×D412yes—
928C2×Dic5C2×#4112yes—
929C2×Dic5C2×#4112yes—
930C2×Dic5C2×#4112yes—
931D20—28no—
932D20—44no—
933D20—44no—
934D20—44no—
935D20—44no—
936D20—44no—
937D20—44no—
938D20—44no—
939D20—44no—
940C4×D5—28no—
941C4×D5—28no—
942C4×D5—44no—
943C4×D5—44no—
944C4×D5—44no—
945C4×D5—44no—
946C4×D5—44no—
947C4×D5—44no—
948C4×D5—44no—
949C4×D5—44no—
950C4×D5—44no—
951C4×D5—44no—
952C4×D5—44no—
953Dic10—44no—
954C25—51no—
955C2×#41—104no—
956C2×#41—104no—
957C2×#41—202no—
958C22×Q8—51no—
959C22×Q8C22×D511yescharacteristic
960C22×D4—51no—
961C22×D4—51no—
962C22×D4—51no—
963C22×D4—51no—
964C22×D4—51no—
965C22×D4—51no—
966C22×D4—51no—
967C22×D4—51no—
968C22×D4—51no—
969C22×D4—51no—
970C22×D4—51no—
971C22×D4—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—104no—
987C23×C4—104no—
988C23×C4—202no—
989C23×C4C22×D511yescharacteristic
990#126—104no—
991#126—104no—
992#125—104no—
993#124—104no—
994#124—104no—
995#123—104no—
996#123—104no—
997#123—104no—
998#123—104no—
999#123—104no—
1000C22⋊Q8—104no—
1001C22⋊Q8—104no—
1002C22⋊Q8—104no—
1003#121—104no—
1004#121—104no—
1005#121—104no—
1006#121—104no—
1007#121—104no—
1008#120—104no—
1009#120—104no—
1010#120—104no—
1011C4×Q8—24no—
1012C4×D4—58no—
1013C4×D4—104no—
1014C4×D4—104no—
1015C4×D4—104no—
1016C4×D4—104no—
1017C4×D4—104no—
1018C4×D4—104no—
1019C4×D4—104no—
1020C4×D4—104no—
1021C4×D4—202no—
1022C4×D4—202no—
1023#117—24no—
1024#117—104no—
1025#117—104no—
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⋊C4C22×D511yescharacteristic
1042C2×C4⋊C4C22×D511yescharacteristic
1043C2×C4⋊C4C22×D511yescharacteristic
1044C2×C4⋊C4C22×D511yescharacteristic
1045C2×C4⋊C4C22×D511yescharacteristic
1046C2×C4⋊C4C22×D511yescharacteristic
1047C2×C4⋊C4C22×D511yescharacteristic
1048C2×C4⋊C4C22×D511yescharacteristic
1049C2×C4⋊C4C22×D511yescharacteristic
1050C2×C4⋊C4C22×D511yescharacteristic
1051C2×C4⋊C4C22×D511yescharacteristic
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—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⋊C4C22×D511yescharacteristic
1097C2×C22⋊C4C22×D511yescharacteristic
1098C2×C22⋊C4C22×D511yescharacteristic
1099C2×C22⋊C4C22×D511yescharacteristic
1100C2×C22⋊C4C22×D511yescharacteristic
1101C2×C22⋊C4C22×D511yescharacteristic
1102C2×C42—51no—
1103C2×C42—51no—
1104C2×C42—51no—
1105C2×C42—51no—
1106C2×C42—51no—
1107C2×C42—51no—
1108C2×C42—51no—
1109C2×C42—51no—
1110C2×C42—51no—
1111C2×C42—51no—
1112C2×C42—51no—
1113C2×C42—51no—
1114C2×C42—51no—
1115C2×C42—104no—
1116C2×C42—202no—
1117C2×C42—202no—
1118C2×C42C22×D511yescharacteristic
1119C2×C42C22×D511yescharacteristic
1120C2×C42C22×D511yescharacteristic
1121C2×C42C22×D511yescharacteristic
1122C2×C42C22×D511yescharacteristic
1123C2×C42C22×D511yescharacteristic
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#95—51no—
1143#95—51no—
1144#95—51no—
1145#95—51no—
1146#95C22×D511yescharacteristic
1147#95C22×D511yescharacteristic
1148#95C22×D511yescharacteristic
1149#95C22×D511yescharacteristic
1150#95C22×D511yescharacteristic
1151#95C22×D511yescharacteristic
1152#95C22×D511yescharacteristic
1153#95C22×D511yescharacteristic
1154#95C22×D511yescharacteristic
1155#95C22×D511yescharacteristic
1156C22×C5—22no—
1157C22×C5—22no—
1158C22×C5—22no—
1159C22×C5—41no—
1160C22×C5—41no—
1161C22×C5—41no—
1162C22×C5—41no—
1163C22×C5C23×D411yescharacteristic
1164C22×C5C22×#4111yescharacteristic
1165C22×C5C22×#4111yescharacteristic
1166C22×C5C22×#4111yescharacteristic
1167C22×C5C22×#4111yescharacteristic
1168C22×C5C2×H(5,𝔽2)11yescharacteristic
1169C22×C5#58511yescharacteristic
1170C2×D5—22no—
1171C2×D5—22no—
1172C2×D5—22no—
1173C2×D5—22no—
1174C2×D5—22no—
1175C2×D5—22no—
1176C2×D5—22no—
1177C2×D5—22no—
1178C2×D5—22no—
1179C2×D5—22no—
1180C2×D5—22no—
1181C2×D5—22no—
1182C2×D5—416no—
1183C2×D5—41no—
1184C2×D5—41no—
1185C2×D5—41no—
1186C2×D5—41no—
1187C2×D5—41no—
1188C2×D5—41no—
1189C2×D5—41no—
1190C2×D5—41no—
1191C2×D5—41no—
1192C2×D5—41no—
1193C2×D5—41no—
1194C2×D5—41no—
1195C2×D5—41no—
1196C2×D5—41no—
1197C2×D5—41no—
1198C2×D5—41no—
1199C2×D5—41no—
1200C2×D5—41no—
1201C2×D5—41no—
1202C2×D5—41no—
1203C2×D5—41no—
1204C2×D5—41no—
1205C2×D5#53214yes—
1206C4×C5—22no—
1207C4×C5—22no—
1208C4×C5—22no—
1209C4×C5—22no—
1210C4×C5—22no—
1211C4×C5—22no—
1212C4×C5—41no—
1213C4×C5—41no—
1214C4×C5—41no—
1215C4×C5—41no—
1216C4×C5—41no—
1217C4×C5—41no—
1218C4×C5—41no—
1219C4×C5#54614yes—
1220Dic5—22no—
1221Dic5—22no—
1222Dic5—22no—
1223Dic5—22no—
1224Dic5—22no—
1225Dic5—41no—
1226Dic5—41no—
1227Dic5—41no—
1228Dic5—41no—
1229Dic5—41no—
1230Dic5—41no—
1231C24—51no—
1232C24—51no—
1233C24—51no—
1234C24—51no—
1235C24—51no—
1236C24—102no—
1237C24—102no—
1238C24—102no—
1239C24—102no—
1240C24—102no—
1241C24—201no—
1242C24—201no—
1243C24C23×D511yescharacteristic
1244#41—2016no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—41no—
1248C2×Q8—102no—
1249C2×Q8—102no—
1250C2×Q8—201no—
1251C2×D4—54no—
1252C2×D4—102no—
1253C2×D4—102no—
1254C2×D4—102no—
1255C2×D4—102no—
1256C2×D4—102no—
1257C2×D4—102no—
1258C2×D4—102no—
1259C2×D4—102no—
1260C2×D4—102no—
1261C2×D4—102no—
1262C2×D4—102no—
1263C2×D4—102no—
1264C2×D4—102no—
1265C2×D4—102no—
1266C2×D4—102no—
1267C2×D4—102no—
1268C2×D4—102no—
1269C2×D4—102no—
1270C2×D4—102no—
1271C2×D4—102no—
1272C2×D4—102no—
1273C2×D4—102no—
1274C2×D4—102no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—201no—
1278C2×D4—201no—
1279C2×D4—201no—
1280C2×D4—201no—
1281C2×D4—201no—
1282C2×D4—201no—
1283C2×D4—201no—
1284C2×D4—201no—
1285C2×D4—201no—
1286C2×D4—201no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—51no—
1290C22×C4—51no—
1291C22×C4—51no—
1292C22×C4—51no—
1293C22×C4—51no—
1294C22×C4—54no—
1295C22×C4—54no—
1296C22×C4—54no—
1297C22×C4—51no—
1298C22×C4—51no—
1299C22×C4—51no—
1300C22×C4—51no—
1301C22×C4—51no—
1302C22×C4—51no—
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—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—201no—
1333C22×C4—201no—
1334C22×C4—201no—
1335C22×C4—201no—
1336C22×C4—201no—
1337C22×C4—201no—
1338C22×C4—201no—
1339C22×C4—201no—
1340C22×C4—201no—
1341C22×C4—2016no—
1342C22×C4—201no—
1343C22×C4#71314yes—
1344C22×C4C23×D511yescharacteristic
1345C22×C4C23×D511yescharacteristic
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
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—41no—
1369C4⋊C4—54no—
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—201no—
1382C4⋊C4—201no—
1383C4⋊C4—201no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—41no—
1390C22⋊C4—54no—
1391C22⋊C4—54no—
1392C22⋊C4—54no—
1393C22⋊C4—54no—
1394C22⋊C4—102no—
1395C22⋊C4—102no—
1396C22⋊C4—102no—
1397C22⋊C4—102no—
1398C22⋊C4—102no—
1399C22⋊C4—102no—
1400C22⋊C4—102no—
1401C22⋊C4—102no—
1402C22⋊C4—102no—
1403C22⋊C4—102no—
1404C22⋊C4—102no—
1405C22⋊C4—102no—
1406C22⋊C4—102no—
1407C22⋊C4—102no—
1408C22⋊C4—102no—
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—201no—
1428C22⋊C4—201no—
1429C22⋊C4—201no—
1430C22⋊C4—201no—
1431C22⋊C4—201no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—102no—
1438C42—102no—
1439C42—102no—
1440C42—102no—
1441C42—102no—
1442C42—102no—
1443C42—102no—
1444C42—102no—
1445C42—201no—
1446C42—201no—
1447C42—201no—
1448C42—201no—
1449C42—201no—
1450C42D4×D514yes—
1451C2×C5—42no—
1452C2×C5C2×#53211yescharacteristic
1453C2×C5#344411yescharacteristic
1454C2×C5#345911yescharacteristic
1455C2×C5C2×#54611yescharacteristic
1456C2×C5D4×#4111yescharacteristic
1457C2×C5#347511yescharacteristic
1458C2×C5#348111yescharacteristic
1459D5—24no—
1460D5—42no—
1461D5—42no—
1462D5—81no—
1463D5—81no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—52no—
1471C23—52no—
1472C23—52no—
1473C23—52no—
1474C23—52no—
1475C23—108no—
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—101no—
1489C23—101no—
1490C23—101no—
1491C23—101no—
1492C23—101no—
1493C23—101no—
1494C23—101no—
1495C23—101no—
1496C23—101no—
1497C23—101no—
1498C23—101no—
1499C23—101no—
1500C23—101no—
1501C23—101no—
1502C23—101no—
1503C23—101no—
1504C23—101no—
1505C23—101no—
1506C23—204no—
1507C23—204no—
1508C23—204no—
1509C23—204no—
1510C23—204no—
1511C23—204no—
1512C23C2×#71312yes—
1513C23C24×D511yescharacteristic
1514Q8—44no—
1515Q8—204no—
1516D4—108no—
1517D4—204no—
1518D4—204no—
1519D4—204no—
1520D4—204no—
1521D4—204no—
1522D4—204no—
1523D4—204no—
1524D4—204no—
1525D4—204no—
1526D4—204no—
1527D4—204no—
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—28no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—52no—
1563C2×C4—52no—
1564C2×C4—52no—
1565C2×C4—52no—
1566C2×C4—52no—
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—108no—
1578C2×C4—108no—
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—101no—
1594C2×C4—101no—
1595C2×C4—101no—
1596C2×C4—101no—
1597C2×C4—204no—
1598C2×C4—204no—
1599C2×C4—204no—
1600C2×C4—204no—
1601C2×C4—204no—
1602C2×C4—204no—
1603C2×C4—204no—
1604C2×C4—204no—
1605C2×C4—204no—
1606C2×C4—204no—
1607C2×C4—204no—
1608C2×C4—204no—
1609C2×C4C2×D4×D512yes—
1610C2×C4C2×D4×D512yes—
1611C2×C4C2×D4×D512yes—
1612C2×C4C2×#71312yes—
1613C2×C4C2×#71312yes—
1614C2×C4D5×#4112yes—
1615C2×C4D5×#4112yes—
1616C2×C4D5×#4112yes—
1617C2×C4#414912yes—
1618C5#3482911yescharacteristic, complemented, Sylow
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—54no—
1627C22—102no—
1628C22—102no—
1629C22—102no—
1630C22—102no—
1631C22—102no—
1632C22—102no—
1633C22—102no—
1634C22—102no—
1635C22—102no—
1636C22—102no—
1637C22—102no—
1638C22—102no—
1639C22—2016no—
1640C22—201no—
1641C22—201no—
1642C22—201no—
1643C22—201no—
1644C22—201no—
1645C22—201no—
1646C22—201no—
1647C22—201no—
1648C22—201no—
1649C22—201no—
1650C22—201no—
1651C22—201no—
1652C22—201no—
1653C22—201no—
1654C22—201no—
1655C22—201no—
1656C22—201no—
1657C22—201no—
1658C22—201no—
1659C22—201no—
1660C22—201no—
1661C22—201no—
1662C22C22×D4×D511yescharacteristic
1663C22C22×#71311yescharacteristic
1664C22C2×D5×#4111yescharacteristic
1665C22C2×D5×#4111yescharacteristic
1666C22C2×D5×#4111yescharacteristic
1667C22C2×#414911yescharacteristic
1668C22#6628311yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—102no—
1683C4—102no—
1684C4—102no—
1685C4—102no—
1686C4—102no—
1687C4—201no—
1688C4—201no—
1689C4—201no—
1690C4—201no—
1691C4—201no—
1692C4—201no—
1693C4#6596414yes—
1694C2—42no—
1695C2—104no—
1696C2—202no—
1697C2—202no—
1698C2—401no—
1699C2—401no—
1700C2C2×#6596411yescharacteristic
1701C2#1061793811yescharacteristic
1702C2#1061804811yescharacteristic
1703C2#1061805411yescharacteristic
1704C2D5×#53211yescharacteristic
1705C2#1061815811yescharacteristic
1706C2#1061817711yescharacteristic
subgroupG/H
centerC22×C4C23×D5
commutator, socle, cosocleC23×C5C25
FrattiniC23C24×D5
FittingC5×#2396C2
hypercenter#2396D5
hypocenterC5#34829
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C22×C4 ◁ #2396

Complements

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

NH ≅ G/Ntype
1. C2×#65914C2semidirect
2. C2×#65858C2semidirect
3. C5×#2396C2semidirect
4. C4×#4093C2semidirect
5. #10613956C2semidirect
6. #10610077C2semidirect
7. #10609910C2semidirect
8. #10609838C2semidirect
9. #10609769C2semidirect
10. #10609688C2semidirect
11. #10609679C2semidirect
12. #10609522C2semidirect
13. #10609521C2semidirect
14. #10609152C2semidirect
15. #10609147C2semidirect
16. #10609049C2semidirect
17. #10609047C2semidirect
18. #10608984C2semidirect
19. #10608918C2semidirect
20. #10608528C2semidirect
21. #10608521C2semidirect
22. #10605508C2semidirect
23. #10605507C2semidirect
24. C4×#4040C2semidirect
25. C4×#4041C2semidirect
26. C4×#4041C2semidirect
27. C4×#4039C2semidirect
28. #10605311C2semidirect
29. C4×#4028C2semidirect
30. #10605294C2semidirect
31. C4×D5×C22⋊C4C2semidirect
34. C2×C4×C5×Q8C22semidirect
37. C2×#4093C22semidirect
42. C2×#4044C22semidirect
43. C2×#4044C22semidirect
56. C2×#4036C22semidirect
70. C2×C4×D20C22semidirect
71. C2×C4×D20C22semidirect
72. C2×#4018C22semidirect
73. C2×#4018C22semidirect
76. C2×C42×D5C22semidirect
77. C5×#400C22semidirect
79. C5×#398C22semidirect
80. C5×#398C22semidirect
83. C5×#395C22semidirect
85. C4×C5×C4⋊C4C22semidirect
86. C4×C5×C4⋊C4C22semidirect
87. C4×C5×C4⋊C4C22semidirect
90. #65519C22semidirect
93. #65283C22semidirect
94. #65282C22semidirect
98. #65280C22semidirect
101. #65279C22semidirect
102. #65279C22semidirect
103. #65279C22semidirect
104. #65279C22semidirect
105. #65279C22semidirect
109. #65277C22semidirect
111. #65276C22semidirect
112. #65274C22semidirect
113. #65274C22semidirect
114. #65273C22semidirect
115. #65270C22semidirect
116. #65266C22semidirect
117. C4⋊C4×Dic5C22semidirect
118. C4⋊C4×Dic5C22semidirect
119. #65261C22semidirect
120. #65261C22semidirect
142. C4×#685C22semidirect
143. C4×#685C22semidirect
144. C4×#685C22semidirect
145. C4×#685C22semidirect
146. C4×#685C22semidirect
147. C4×#683C22semidirect
148. C42×Dic5C22semidirect
150. #64964C22semidirect
151. #64963C22semidirect
152. #64962C22semidirect
155. #64961C22semidirect
157. #64960C22semidirect
159. #64959C22semidirect
160. #64959C22semidirect
161. #64959C22semidirect
162. #64958C22semidirect
169. #64955C22semidirect
170. #64955C22semidirect
177. #64954C22semidirect
178. #64954C22semidirect
179. #64954C22semidirect
183. #64950C22semidirect
184. #64949C22semidirect
185. #64945C22semidirect
186. #64944C22semidirect
187. #64935C22semidirect
188. #64935C22semidirect
354. C4×D20D4semidirect
410. #2396D5semidirect
546. C2×C4×D5#41semidirect
613. #685#41semidirect
614. #685#41semidirect
668. C2×C4×Q8C2×D5semidirect
689. #400C2×D5semidirect
694. #398C2×D5semidirect
695. #398C2×D5semidirect
705. #395C2×D5semidirect
774. C4×C4⋊C4C2×D5semidirect
775. C4×C4⋊C4C2×D5semidirect
776. C4×C4⋊C4C2×D5semidirect
1618. C5#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#659142
C2×#658582
C5×#23962
C4×#40932
#106139562
#106100772
#106099102
#106098382
#106097692
#106096882
#106096792
#106095222
#106095212
#106091522
#106091472
#106090492
#106090472
#106089842
#106089182
#106085282
#106085212
#106055082
#106055072
C4×#40402
C4×#40412
C4×#40392
#106053112
C4×#40282
#106052942
C4×D5×C22⋊C42
#348295