Finite Group Databasebeta

← #12268452

Subgroups — #12268452

Order 1280.

2428 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65914C211yesmaximal, characteristic, complemented
2C2×#65862C211yesmaximal, characteristic, complemented
3C5×#2396C211yesmaximal, characteristic, complemented
4C4×#4090C211yesmaximal, characteristic, complemented
5#10613956C211yesmaximal, characteristic, complemented
6#10610078C211yesmaximal, characteristic, complemented
7#10609881C211yesmaximal, characteristic, complemented
8#10609765C211yesmaximal, characteristic, complemented
9#10609761C211yesmaximal, characteristic, complemented
10#10609679C211yesmaximal, characteristic, complemented
11#10609502C211yesmaximal, characteristic, complemented
12#10609497C211yesmaximal, characteristic, complemented
13#10609495C211yesmaximal, characteristic, complemented
14#10609148C211yesmaximal, characteristic, complemented
15#10609040C211yesmaximal, characteristic, complemented
16#10609037C211yesmaximal, characteristic, complemented
17#10609015C211yesmaximal, characteristic
18#10608915C211yesmaximal, characteristic, complemented
19#10608905C211yesmaximal, characteristic, complemented
20#10608598C211yesmaximal, characteristic, complemented
21#10608523C211yesmaximal, characteristic, complemented
22#10605508C211yesmaximal, characteristic, complemented
23C4×#4040C211yesmaximal, characteristic, complemented
24#10605484C211yesmaximal, characteristic, complemented
25C4×D5×C4⋊C4C211yesmaximal, characteristic, complemented
26#10605399C211yesmaximal, characteristic, complemented
27C4×#4039C211yesmaximal, characteristic, complemented
28#10605313C211yesmaximal, characteristic, complemented
29C4×#4029C211yesmaximal, characteristic, complemented
30C4×#4030C211yesmaximal, characteristic, complemented
31C4×#4030C211yesmaximal, characteristic, complemented
32C2×C4×C5×Q8C2211yescharacteristic
33C2×C5×#117C2211yescharacteristic
34C2×#4093C2211yescharacteristic
35C2×#4092C2211yescharacteristic
36C2×#4090C2211yescharacteristic
37C2×C4×C22⋊D5C2211yescharacteristic
38C2×C4×C22⋊D5C2211yescharacteristic
39C2×C4×C22⋊D5C2211yescharacteristic
40#65914—28no—
41#65862—28no—
42C2×#4044C2211yescharacteristic
43C2×#4044C2211yescharacteristic
44C2×#4044C2211yescharacteristic
45C2×#4042C2211yescharacteristic
46C2×#4041C2211yescharacteristic
47C2×#4040C2211yescharacteristic
48C2×#4040C2211yescharacteristic
49C2×#4040C2211yescharacteristic
50C2×#4040C2211yescharacteristic
51C2×#4039C2211yescharacteristic
52C2×#4039C2211yescharacteristic
53C2×D5×C4⋊C4C2211yescharacteristic
54C2×D5×C4⋊C4C2211yescharacteristic
55C2×#4036C2211yescharacteristic
56C2×#4035C2211yescharacteristic
57C2×#4031C2211yescharacteristic
58C2×#4030C2211yescharacteristic
59C2×#4030C2211yescharacteristic
60C2×#4030C2211yescharacteristic
61C2×#4029C2211yescharacteristic
62C2×#4029C2211yescharacteristic
63C2×#4025C2211yescharacteristic
64C2×C4×D20C2211yescharacteristic
65C2×C4×D20C2211yescharacteristic
66C2×C4×D20C2211yescharacteristic
67C2×#4018C2211yescharacteristic
68C2×#4018C2211yescharacteristic
69C2×#4018C2211yescharacteristic
70C2×C42×D5C2211yescharacteristic
71C2×C42×D5C2211yescharacteristic
72C2×C42×D5C2211yescharacteristic
73C2×C42×D5C2211yescharacteristic
74C2×C4×Dic10C2211yescharacteristic
75C5×#400C2211yescharacteristic
76C5×#399C2211yescharacteristic
77C5×#398C2211yescharacteristic
78C5×#398C2211yescharacteristic
79C5×#396C2211yescharacteristic
80C5×#396C2211yescharacteristic
81C5×#395C2211yescharacteristic
82C5×#393C2211yescharacteristic
83C4×C5×C4⋊C4C2211yescharacteristic
84C4×C5×C4⋊C4C2211yescharacteristic
85C4×C5×C4⋊C4C2211yescharacteristic
86C4×C5×C22⋊C4C2211yescharacteristic
87C4×C5×C22⋊C4C2211yescharacteristic
88#65519C2211yescharacteristic
89C4×C22⋊Dic5C2211yescharacteristic
90#65283C2211yescharacteristic
91#65283C2211yescharacteristic
92#65282C2211yescharacteristic
93#65281C2211yescharacteristic
94#65280C2211yescharacteristic
95#65279C2211yescharacteristic
96#65279C2211yescharacteristic
97#65279C2211yescharacteristic
98#65278C2211yescharacteristic
99#65276C2211yescharacteristic
100#65276C2211yescharacteristic
101#65273C2211yescharacteristic
102#65272C2211yescharacteristic
103#65272C2211yescharacteristic
104#65270C2211yescharacteristic
105#65265C2211yescharacteristic
106#65265C2211yescharacteristic
107#65265C2211yescharacteristic
108C4⋊C4×Dic5C2211yescharacteristic
109C4⋊C4×Dic5C2211yescharacteristic
110C4⋊C4×Dic5C2211yescharacteristic
111C4⋊C4×Dic5C2211yescharacteristic
112#65263C2211yescharacteristic
113#65261C2211yescharacteristic
114#65261C2211yescharacteristic
115#65261C2211yescharacteristic
116#65261C2211yescharacteristic
117#65261C2211yescharacteristic
118#65261C2211yescharacteristic
119#65250C2211yescharacteristic
120#65248C2211yescharacteristic
121#65246C2211yescharacteristic
122#65246C2211yescharacteristic
123#65246C2211yescharacteristic
124#65246C2211yescharacteristic
125#65245C2211yescharacteristic
126#65245C2211yescharacteristic
127#65245C2211yescharacteristic
128#65241C2211yescharacteristic
129#65240C2211yescharacteristic
130#65240C2211yescharacteristic
131#65240C2211yescharacteristic
132#65238C2211yescharacteristic
133#65234C2211yescharacteristic
134#65234C2211yescharacteristic
135#65234C2211yescharacteristic
136C4×#685C2211yescharacteristic
137C4×#685C2211yescharacteristic
138C4×#685C2211yescharacteristic
139C4×#685C2211yescharacteristic
140C4×#685C2211yescharacteristic
141C4×C4⋊Dic5C2211yescharacteristic
142C4×C4⋊Dic5C2211yescharacteristic
143C4×#683C2211yescharacteristic
144C4×#683C2211yescharacteristic
145C4×#683C2211yescharacteristic
146C4×#683C2211yescharacteristic
147C4×#683C2211yescharacteristic
148C42×Dic5C2211yescharacteristic
149#64966C2211yescharacteristic
150#64964C2211yescharacteristic
151#64964C2211yescharacteristic
152#64964C2211yescharacteristic
153#64963C2211yescharacteristic
154#64962C2211yescharacteristic
155#64961C2211yescharacteristic
156#64958C2211yescharacteristic
157#64958C2211yescharacteristic
158#64958C2211yescharacteristic
159#64957C2211yescharacteristic
160#64956C2211yescharacteristic
161#64956C2211yescharacteristic
162#64956C2211yescharacteristic
163#64956C2211yescharacteristic
164#64955C2211yescharacteristic
165#64955C2211yescharacteristic
166#64955C2211yescharacteristic
167#64955C2211yescharacteristic
168#64954C2211yescharacteristic
169#64954C2211yescharacteristic
170#64954C2211yescharacteristic
171#64953C2211yescharacteristic
172#64953C2211yescharacteristic
173D5×#95C2211yescharacteristic
174D5×#95C2211yescharacteristic
175#64949C2211yescharacteristic
176#64948C2211yescharacteristic
177#64947C2211yescharacteristic
178#64946C2211yescharacteristic
179#64945C2211yescharacteristic
180#64944C2211yescharacteristic
181#64943C2211yescharacteristic
182#64941C2211yescharacteristic
183#64939C2211yescharacteristic
184#64939C2211yescharacteristic
185#64938C2211yescharacteristic
186#64938C2211yescharacteristic
187#64936C2211yescharacteristic
188#64936C2211yescharacteristic
189#34763—51nomaximal, Sylow
190C22×C5×Q8C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C22×C22⋊D5C2311yescharacteristic
193C22×C22⋊D5C2311yescharacteristic
194C22×C22⋊D5C2311yescharacteristic
195C22×D20C2311yescharacteristic
196C22×D20C2311yescharacteristic
197C22×D20C2311yescharacteristic
198C22×C4×D5C2311yescharacteristic
199C22×C4×D5C2311yescharacteristic
200C22×C4×D5C2311yescharacteristic
201C22×C4×D5C2311yescharacteristic
202C22×C4×D5C2311yescharacteristic
203C22×C4×D5C2311yescharacteristic
204C22×C4×D5C2311yescharacteristic
205C22×C4×D5C2311yescharacteristic
206C22×C4×D5C2311yescharacteristic
207C22×C4×D5C2311yescharacteristic
208C22×C4×D5C2311yescharacteristic
209C22×Dic10C2311yescharacteristic
210C4×C5×Q8—24no—
211C5×#117—24no—
212C2×C5×C4⋊C4C2311yescharacteristic
213C2×C5×C4⋊C4C2311yescharacteristic
214C2×C5×C4⋊C4C2311yescharacteristic
215C2×C5×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C5×C22⋊C4C2311yescharacteristic
225C2×C5×C22⋊C4C2311yescharacteristic
226C2×C5×C22⋊C4C2311yescharacteristic
227C2×C5×C22⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C42×C5C2311yescharacteristic
230C2×C42×C5C2311yescharacteristic
231C2×C42×C5C2311yescharacteristic
232C2×C42×C5C2311yescharacteristic
233C2×C42×C5C2311yescharacteristic
234C2×C42×C5C2311yescharacteristic
235C2×C22⋊Dic5C2311yescharacteristic
236C2×C22⋊Dic5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240#4093—24no—
241#4092—24no—
242#4090—24no—
243C4×C22⋊D5—24no—
244C4×C22⋊D5—24no—
245C4×C22⋊D5—24no—
246C2×#685C2311yescharacteristic
247C2×#685C2311yescharacteristic
248C2×#685C2311yescharacteristic
249C2×#685C2311yescharacteristic
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
272C2×C4⋊Dic5C2311yescharacteristic
273C2×C4⋊Dic5C2311yescharacteristic
274C2×C4⋊Dic5C2311yescharacteristic
275C2×C4⋊Dic5C2311yescharacteristic
276C2×C4⋊Dic5C2311yescharacteristic
277C2×C4⋊Dic5C2311yescharacteristic
278C2×C4⋊Dic5C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
289C2×#683C2311yescharacteristic
290C2×#683C2311yescharacteristic
291C2×#683C2311yescharacteristic
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×#683C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×C4×Dic5C2311yescharacteristic
301C2×C4×Dic5C2311yescharacteristic
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2311yescharacteristic
305C2×C4×Dic5C2311yescharacteristic
306C2×C4×Dic5C2311yescharacteristic
307C2×C4×Dic5C2311yescharacteristic
308C2×C4×Dic5C2311yescharacteristic
309C2×C4×Dic5C2311yescharacteristic
310C2×C4×Dic5C2311yescharacteristic
311C2×C4×Dic5C2311yescharacteristic
312C2×C4×Dic5C2311yescharacteristic
313C2×C4×Dic5C2311yescharacteristic
314C2×C4×Dic5C2311yescharacteristic
315C2×C4×Dic5C2311yescharacteristic
316C2×C4×Dic5C2311yescharacteristic
317#4044—24no—
318#4044—24no—
319#4044—24no—
320#4042—24no—
321#4041—24no—
322#4040—24no—
323#4040—24no—
324#4040—24no—
325#4040—24no—
326#4039—24no—
327#4039—24no—
328D5×C4⋊C4—24no—
329D5×C4⋊C4—24no—
330#4036—24no—
331#4035—24no—
332#4031—24no—
333#4030—24no—
334#4030—24no—
335#4030—24no—
336#4029—24no—
337#4029—24no—
338#4025—24no—
339C4×D20—24no—
340C4×D20—24no—
341C4×D20D418yescomplemented
342#4018—24no—
343#4018—24no—
344#4018—24no—
345C42×D5—24no—
346C42×D5—24no—
347C42×D5—24no—
348C42×D5—24no—
349C4×Dic10—24no—
350C5×#95C2311yescharacteristic
351C5×#95C2311yescharacteristic
352C5×#95C2311yescharacteristic
353C5×#95C2311yescharacteristic
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
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×#529—51no—
387C2×#529—51no—
388#2521—51no—
389#2521—51no—
390#2519—51no—
391#2519—51no—
392#2512—51no—
393#2506—51no—
394#2501—51no—
395#2496—51no—
396#2491—51no—
397#2488—51no—
398#2488—51no—
399#2486—51no—
400#2440—51no—
401#2425—51no—
402#2425—51no—
403#2416—51no—
404#2396—51no—
405#2396D511yescharacteristic, complemented
406#2395—51no—
407#2395—51no—
408C4×C4⋊Q8—51no—
409C4×#123—51no—
410C4×#123—51no—
411C4×#121—51no—
412C4×#121—51no—
413#2293—51no—
414#2285—51no—
415C42×D4—51no—
416C2×C4×C4⋊C4—51no—
417C24×C5C2411yescharacteristic
418C23×D5C2411yescharacteristic
419C23×D5C2411yescharacteristic
420C23×D5C2411yescharacteristic
421C2×C5×Q8—22no—
422C2×C5×Q8—22no—
423C2×C5×Q8—41no—
424C22×C4×C5—22no—
425C22×C4×C5—22no—
426C22×C4×C5—22no—
427C22×C4×C5C2411yescharacteristic
428C22×C4×C5C2411yescharacteristic
429C22×C4×C5C2411yescharacteristic
430C22×C4×C5C2411yescharacteristic
431C22×C4×C5C2411yescharacteristic
432C22×C4×C5C2411yescharacteristic
433C22×C4×C5C2411yescharacteristic
434C22×C4×C5C2411yescharacteristic
435C22×C4×C5C2411yescharacteristic
436C22×C4×C5C2411yescharacteristic
437C22×C4×C5C2411yescharacteristic
438C22×C4×C5C2411yescharacteristic
439C22×C4×C5C2411yescharacteristic
440C22×C4×C5C2411yescharacteristic
441C2×C22⋊D5—22no—
442C2×C22⋊D5—22no—
443C2×C22⋊D5—22no—
444C2×C22⋊D5—22no—
445C2×C22⋊D5—22no—
446C2×C22⋊D5—22no—
447C2×C22⋊D5—22no—
448C2×C22⋊D5—22no—
449C2×C22⋊D5—41no—
450C22×Dic5C2411yescharacteristic
451C22×Dic5C2411yescharacteristic
452C22×Dic5C2411yescharacteristic
453C22×Dic5C2411yescharacteristic
454C22×Dic5C2411yescharacteristic
455C22×Dic5C2411yescharacteristic
456C22×Dic5C2411yescharacteristic
457C22×Dic5C2411yescharacteristic
458C22×Dic5C2411yescharacteristic
459C22×Dic5C2411yescharacteristic
460C22×Dic5C2411yescharacteristic
461C22×Dic5C2411yescharacteristic
462C22×Dic5C2411yescharacteristic
463C2×D20—22no—
464C2×D20—22no—
465C2×D20—22no—
466C2×D20—22no—
467C2×D20—22no—
468C2×D20—22no—
469C2×D20—22no—
470C2×D20—41no—
471C2×D20C2×D414yes—
472C2×C4×D5—22no—
473C2×C4×D5—22no—
474C2×C4×D5—22no—
475C2×C4×D5—22no—
476C2×C4×D5—22no—
477C2×C4×D5—22no—
478C2×C4×D5—22no—
479C2×C4×D5—22no—
480C2×C4×D5—22no—
481C2×C4×D5—22no—
482C2×C4×D5—22no—
483C2×C4×D5—22no—
484C2×C4×D5—22no—
485C2×C4×D5—22no—
486C2×C4×D5—22no—
487C2×C4×D5—22no—
488C2×C4×D5—22no—
489C2×C4×D5—22no—
490C2×C4×D5—22no—
491C2×C4×D5—22no—
492C2×C4×D5—22no—
493C2×C4×D5—22no—
494C2×C4×D5—22no—
495C2×C4×D5—22no—
496C2×C4×D5—22no—
497C2×C4×D5—22no—
498C2×C4×D5—41no—
499C2×C4×D5—41no—
500C2×C4×D5—41no—
501C2×C4×D5—41no—
502C2×C4×D5C2×D414yes—
503C2×C4×D5C2×D414yes—
504C2×C4×D5#4114yes—
505C2×Dic10—22no—
506C2×Dic10—22no—
507C2×Dic10—41no—
508C5×C4⋊C4—22no—
509C5×C4⋊C4—22no—
510C5×C4⋊C4—22no—
511C5×C4⋊C4—22no—
512C5×C4⋊C4—22no—
513C5×C4⋊C4—22no—
514C5×C4⋊C4—22no—
515C5×C4⋊C4—22no—
516C5×C4⋊C4—22no—
517C5×C4⋊C4—22no—
518C5×C4⋊C4—41no—
519C5×C22⋊C4—22no—
520C5×C22⋊C4—22no—
521C5×C22⋊C4—22no—
522C5×C22⋊C4—22no—
523C5×C22⋊C4—22no—
524C5×C22⋊C4—41no—
525C42×C5—22no—
526C42×C5—22no—
527C42×C5—22no—
528C42×C5—22no—
529C42×C5—22no—
530C42×C5C2×D414yes—
531C22⋊Dic5—22no—
532C22⋊Dic5—22no—
533C22⋊Dic5—22no—
534C22⋊Dic5—22no—
535C22⋊Dic5—41no—
536#685—22no—
537#685—22no—
538#685—22no—
539#685—22no—
540#685—22no—
541#685—22no—
542#685—22no—
543#685—22no—
544#685—22no—
545#685—22no—
546#685—22no—
547#685—22no—
548#685—22no—
549#685—22no—
550#685—22no—
551#685—22no—
552#685—22no—
553#685—22no—
554#685—22no—
555#685—22no—
556#685—41no—
557#685—41no—
558#685C2×D414yes—
559#685C2×D414yes—
560#685#4114yes—
561C4⋊Dic5—22no—
562C4⋊Dic5—22no—
563C4⋊Dic5—22no—
564C4⋊Dic5—22no—
565C4⋊Dic5—22no—
566C4⋊Dic5—22no—
567C4⋊Dic5—41no—
568C4⋊Dic5C2×D414yes—
569#683—22no—
570#683—22no—
571#683—22no—
572#683—22no—
573#683—22no—
574#683—22no—
575#683—22no—
576#683—22no—
577#683—22no—
578#683—22no—
579#683—22no—
580#683—22no—
581#683—22no—
582#683—22no—
583#683—22no—
584#683—22no—
585#683—22no—
586#683—22no—
587#683—22no—
588#683—22no—
589#683#4114yes—
590C4×Dic5—22no—
591C4×Dic5—22no—
592C4×Dic5—22no—
593C4×Dic5—22no—
594C4×Dic5—22no—
595C4×Dic5—22no—
596C4×Dic5—22no—
597C4×Dic5—22no—
598C4×Dic5—22no—
599C4×Dic5—22no—
600C4×Dic5—22no—
601C4×Dic5—22no—
602C4×Dic5—22no—
603C4×Dic5—22no—
604C4×Dic5—22no—
605C4×Dic5—41no—
606C4×Dic5#4114yes—
607C2×C4⋊Q8—51no—
608#529—108no—
609#529—108no—
610C2×#126—51no—
611C2×#126—51no—
612C2×#126—51no—
613C2×#126—51no—
614C2×#125—51no—
615C2×#125—51no—
616C2×#124—51no—
617C2×#124—51no—
618C2×#123—51no—
619C2×#123—51no—
620C2×#123—51no—
621C2×#123—51no—
622C2×#123—51no—
623C2×#123—51no—
624C2×C22⋊Q8—51no—
625C2×C22⋊Q8—51no—
626C2×#121—51no—
627C2×#121—51no—
628C2×#121—51no—
629C2×#121—51no—
630C2×C4×Q8—51no—
631C2×C4×Q8C2×D511yescharacteristic
632C2×C4×D4—51no—
633C2×C4×D4—51no—
634C2×C4×D4—51no—
635C2×C4×D4—51no—
636C2×C4×D4—51no—
637C2×C4×D4—51no—
638C2×C4×D4—51no—
639C2×C4×D4—51no—
640C2×#117—51no—
641C2×#117—51no—
642C2×#117—51no—
643C2×#117C2×D511yescharacteristic
644C22×C4⋊C4—51no—
645C22×C4⋊C4—51no—
646C22×C42—51no—
647C22×C42—51no—
648C22×C42—51no—
649C22×C42—51no—
650#400—51no—
651#400—51no—
652#400—51no—
653#400C2×D511yescharacteristic
654#399—51no—
655#399—51no—
656#399—51no—
657#399C2×D511yescharacteristic
658#398—51no—
659#398—51no—
660#398—51no—
661#398—51no—
662#398C2×D511yescharacteristic
663#398C2×D511yescharacteristic
664#397—51no—
665#397—51no—
666#397—51no—
667#397—51no—
668#397—51no—
669#397—51no—
670#396—51no—
671#396—51no—
672#396C2×D511yescharacteristic
673#396C2×D511yescharacteristic
674#395—51no—
675#395C2×D511yescharacteristic
676#394—51no—
677#394—51no—
678#394—51no—
679#394—51no—
680#393—51no—
681#393C2×D511yescharacteristic
682#391—51no—
683#391—51no—
684#390—51no—
685#390—51no—
686#390—51no—
687#390—51no—
688#389—51no—
689#389—51no—
690#389—51no—
691#389—51no—
692#389—51no—
693#389—51no—
694#389—51no—
695#389—51no—
696#388—51no—
697#388—51no—
698#388—51no—
699#388—51no—
700#388—51no—
701#388—51no—
702#388—51no—
703#388—51no—
704#388—51no—
705#388—51no—
706#388—51no—
707#388—51no—
708#387—51no—
709#387—51no—
710#387—51no—
711#387—51no—
712#386—51no—
713#386—51no—
714#386—51no—
715#386—51no—
716#386—51no—
717#386—51no—
718#385—51no—
719#385—51no—
720#384—51no—
721#384—51no—
722#384—51no—
723#382—51no—
724#382—51no—
725#381—51no—
726#381—51no—
727#380—51no—
728#380—51no—
729#380—51no—
730#380—51no—
731#380—51no—
732#380—51no—
733C4×C4⋊C4—51no—
734C4×C4⋊C4—51no—
735C4×C4⋊C4—51no—
736C4×C4⋊C4—51no—
737C4×C4⋊C4—51no—
738C4×C4⋊C4—51no—
739C4×C4⋊C4—51no—
740C4×C4⋊C4—51no—
741C4×C4⋊C4—51no—
742C4×C4⋊C4—51no—
743C4×C4⋊C4—51no—
744C4×C4⋊C4—51no—
745C4×C4⋊C4—51no—
746C4×C4⋊C4C2×D511yescharacteristic
747C4×C4⋊C4C2×D511yescharacteristic
748C4×C4⋊C4C2×D511yescharacteristic
749C4×C22⋊C4—51no—
750C4×C22⋊C4—51no—
751C4×C22⋊C4—51no—
752C4×C22⋊C4—51no—
753C4×C22⋊C4—51no—
754C4×C22⋊C4—51no—
755C4×C22⋊C4—51no—
756C4×C22⋊C4—51no—
757C4×C22⋊C4—51no—
758C4×C22⋊C4—51no—
759C4×C22⋊C4C2×D511yescharacteristic
760C4×C22⋊C4C2×D511yescharacteristic
761C2×#95—51no—
762C2×#95—51no—
763C43—51no—
764C23×C5—21no—
765C23×C5—21no—
766C23×C5—21no—
767C23×C5—21no—
768C23×C5—21no—
769C23×C5—21no—
770C23×C5—21no—
771C23×C5C2511yescharacteristic
772C22×D5—21no—
773C22×D5—21no—
774C22×D5—21no—
775C22×D5—21no—
776C22×D5—21no—
777C22×D5—21no—
778C22×D5—21no—
779C22×D5—21no—
780C22×D5—21no—
781C22×D5—21no—
782C22×D5—21no—
783C22×D5—21no—
784C22×D5—21no—
785C22×D5—21no—
786C22×D5—21no—
787C22×D5—21no—
788C22×D5—21no—
789C22×D5C22×D412yes—
790C22×D5C22×D412yes—
791C22×D5C2×#4112yes—
792C22×D5C2×#4112yes—
793C5×Q8—44no—
794C2×C4×C5—21no—
795C2×C4×C5—21no—
796C2×C4×C5—21no—
797C2×C4×C5—21no—
798C2×C4×C5—21no—
799C2×C4×C5—21no—
800C2×C4×C5—21no—
801C2×C4×C5—21no—
802C2×C4×C5—21no—
803C2×C4×C5—21no—
804C2×C4×C5—21no—
805C2×C4×C5—21no—
806C2×C4×C5—21no—
807C2×C4×C5—21no—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—44no—
829C2×C4×C5C22×D412yes—
830C2×C4×C5C22×D412yes—
831C2×C4×C5C22×D412yes—
832C2×C4×C5C2×#4112yes—
833C2×C4×C5C2×#4112yes—
834C2×C4×C5C2×#4112yes—
835C2×C4×C5C2×#4112yes—
836C2×C4×C52−1+412yes—
837C22⋊D5—44no—
838C22⋊D5—44no—
839C22⋊D5—44no—
840C2×Dic5—21no—
841C2×Dic5—21no—
842C2×Dic5—21no—
843C2×Dic5—21no—
844C2×Dic5—21no—
845C2×Dic5—21no—
846C2×Dic5—21no—
847C2×Dic5—21no—
848C2×Dic5—21no—
849C2×Dic5—21no—
850C2×Dic5—21no—
851C2×Dic5—21no—
852C2×Dic5—21no—
853C2×Dic5—21no—
854C2×Dic5—21no—
855C2×Dic5—21no—
856C2×Dic5—21no—
857C2×Dic5—21no—
858C2×Dic5—21no—
859C2×Dic5—21no—
860C2×Dic5—21no—
861C2×Dic5—21no—
862C2×Dic5—21no—
863C2×Dic5—21no—
864C2×Dic5—21no—
865C2×Dic5—21no—
866C2×Dic5—21no—
867C2×Dic5—21no—
868C2×Dic5—21no—
869C2×Dic5—21no—
870C2×Dic5—21no—
871C2×Dic5C22×D412yes—
872C2×Dic5C22×D412yes—
873C2×Dic5C2×#4112yes—
874C2×Dic5C2×#4112yes—
875C2×Dic5C2×#4112yes—
876C2×Dic5C2×#4112yes—
877C2×Dic5C2×#4112yes—
878C2×Dic5C2×#4112yes—
879D20—28no—
880D20—44no—
881D20—44no—
882C4×D5—28no—
883C4×D5—28no—
884C4×D5—28no—
885C4×D5—44no—
886C4×D5—44no—
887C4×D5—44no—
888C4×D5—44no—
889C4×D5—44no—
890C4×D5—44no—
891C4×D5—44no—
892C4×D5—44no—
893Dic10—44no—
894C22×Q8—51no—
895C22×Q8C22×D511yescharacteristic
896C22×D4—51no—
897C22×D4—51no—
898C22×D4—51no—
899C22×D4—51no—
900C22×D4—51no—
901C22×D4—51no—
902C23×C4—51no—
903C23×C4—51no—
904C23×C4—51no—
905C23×C4—51no—
906C23×C4—51no—
907C23×C4—51no—
908C23×C4—51no—
909C23×C4—51no—
910C23×C4—51no—
911C23×C4—51no—
912C23×C4—51no—
913C23×C4C22×D511yescharacteristic
914C4⋊Q8—104no—
915#126—104no—
916#126—104no—
917#126—104no—
918#126—104no—
919#125—104no—
920#125—104no—
921#124—104no—
922#124—104no—
923#123—104no—
924#123—104no—
925#123—104no—
926#123—104no—
927#123—104no—
928#123—104no—
929C22⋊Q8—104no—
930C22⋊Q8—104no—
931#121—104no—
932#121—104no—
933#121—104no—
934#121—104no—
935C4×Q8—24no—
936C4×Q8—104no—
937C4×D4—58no—
938C4×D4—104no—
939C4×D4—104no—
940C4×D4—104no—
941C4×D4—104no—
942C4×D4—104no—
943C4×D4—104no—
944C4×D4—104no—
945#117—24no—
946#117—104no—
947#117—104no—
948#117—104no—
949C2×C4⋊C4—51no—
950C2×C4⋊C4—51no—
951C2×C4⋊C4—51no—
952C2×C4⋊C4—51no—
953C2×C4⋊C4—51no—
954C2×C4⋊C4—51no—
955C2×C4⋊C4—51no—
956C2×C4⋊C4—51no—
957C2×C4⋊C4—51no—
958C2×C4⋊C4—51no—
959C2×C4⋊C4—51no—
960C2×C4⋊C4—51no—
961C2×C4⋊C4—51no—
962C2×C4⋊C4—51no—
963C2×C4⋊C4—51no—
964C2×C4⋊C4—51no—
965C2×C4⋊C4—51no—
966C2×C4⋊C4—51no—
967C2×C4⋊C4—51no—
968C2×C4⋊C4—51no—
969C2×C4⋊C4—51no—
970C2×C4⋊C4—51no—
971C2×C4⋊C4—51no—
972C2×C4⋊C4—51no—
973C2×C4⋊C4—51no—
974C2×C4⋊C4—51no—
975C2×C4⋊C4—51no—
976C2×C4⋊C4—51no—
977C2×C4⋊C4—51no—
978C2×C4⋊C4—104no—
979C2×C4⋊C4—104no—
980C2×C4⋊C4C22×D511yescharacteristic
981C2×C4⋊C4C22×D511yescharacteristic
982C2×C4⋊C4C22×D511yescharacteristic
983C2×C4⋊C4C22×D511yescharacteristic
984C2×C4⋊C4C22×D511yescharacteristic
985C2×C4⋊C4C22×D511yescharacteristic
986C2×C4⋊C4C22×D511yescharacteristic
987C2×C4⋊C4C22×D511yescharacteristic
988C2×C4⋊C4C22×D511yescharacteristic
989C2×C4⋊C4C22×D511yescharacteristic
990C2×C4⋊C4C22×D511yescharacteristic
991C2×C22⋊C4—51no—
992C2×C22⋊C4—51no—
993C2×C22⋊C4—51no—
994C2×C22⋊C4—51no—
995C2×C22⋊C4—51no—
996C2×C22⋊C4—51no—
997C2×C22⋊C4—51no—
998C2×C22⋊C4—51no—
999C2×C22⋊C4—51no—
1000C2×C22⋊C4—51no—
1001C2×C22⋊C4—51no—
1002C2×C22⋊C4—51no—
1003C2×C22⋊C4—51no—
1004C2×C22⋊C4—51no—
1005C2×C22⋊C4—51no—
1006C2×C22⋊C4—51no—
1007C2×C22⋊C4—51no—
1008C2×C22⋊C4—51no—
1009C2×C22⋊C4—51no—
1010C2×C22⋊C4—51no—
1011C2×C22⋊C4—51no—
1012C2×C22⋊C4—51no—
1013C2×C22⋊C4—51no—
1014C2×C22⋊C4—51no—
1015C2×C22⋊C4—51no—
1016C2×C22⋊C4—51no—
1017C2×C22⋊C4—51no—
1018C2×C22⋊C4—51no—
1019C2×C22⋊C4—51no—
1020C2×C22⋊C4—51no—
1021C2×C22⋊C4C22×D511yescharacteristic
1022C2×C22⋊C4C22×D511yescharacteristic
1023C2×C22⋊C4C22×D511yescharacteristic
1024C2×C22⋊C4C22×D511yescharacteristic
1025C2×C22⋊C4C22×D511yescharacteristic
1026C2×C22⋊C4C22×D511yescharacteristic
1027C2×C42—51no—
1028C2×C42—51no—
1029C2×C42—51no—
1030C2×C42—51no—
1031C2×C42—51no—
1032C2×C42—51no—
1033C2×C42—51no—
1034C2×C42—51no—
1035C2×C42—51no—
1036C2×C42—51no—
1037C2×C42—51no—
1038C2×C42—51no—
1039C2×C42—51no—
1040C2×C42—51no—
1041C2×C42—51no—
1042C2×C42—51no—
1043C2×C42—51no—
1044C2×C42—104no—
1045C2×C42—104no—
1046C2×C42—104no—
1047C2×C42—104no—
1048C2×C42C22×D511yescharacteristic
1049C2×C42C22×D511yescharacteristic
1050C2×C42C22×D511yescharacteristic
1051C2×C42C22×D511yescharacteristic
1052C2×C42C22×D511yescharacteristic
1053C2×C42C22×D511yescharacteristic
1054#95—51no—
1055#95—51no—
1056#95—51no—
1057#95—51no—
1058#95—51no—
1059#95—51no—
1060#95—51no—
1061#95—51no—
1062#95—51no—
1063#95—51no—
1064#95—51no—
1065#95—51no—
1066#95—51no—
1067#95—51no—
1068#95—51no—
1069#95—51no—
1070#95—51no—
1071#95—51no—
1072#95—51no—
1073#95—51no—
1074#95—51no—
1075#95—51no—
1076#95—51no—
1077#95—51no—
1078#95—51no—
1079#95—51no—
1080#95C22×D511yescharacteristic
1081#95C22×D511yescharacteristic
1082#95C22×D511yescharacteristic
1083#95C22×D511yescharacteristic
1084#95C22×D511yescharacteristic
1085#95C22×D511yescharacteristic
1086#95C22×D511yescharacteristic
1087#95C22×D511yescharacteristic
1088#95C22×D511yescharacteristic
1089#95C22×D511yescharacteristic
1090C22×C5—41no—
1091C22×C5—41no—
1092C22×C5—41no—
1093C22×C5—41no—
1094C22×C5—41no—
1095C22×C5—41no—
1096C22×C5—41no—
1097C22×C5C23×D411yescharacteristic
1098C22×C5C22×#4111yescharacteristic
1099C22×C5C22×#4111yescharacteristic
1100C22×C5C22×#4111yescharacteristic
1101C22×C5C22×#4111yescharacteristic
1102C22×C5C2×2−1+411yescharacteristic
1103C22×C5#58511yescharacteristic
1104C2×D5—22no—
1105C2×D5—22no—
1106C2×D5—22no—
1107C2×D5—22no—
1108C2×D5—22no—
1109C2×D5—22no—
1110C2×D5—22no—
1111C2×D5—22no—
1112C2×D5—22no—
1113C2×D5—41no—
1114C2×D5—41no—
1115C2×D5—41no—
1116C2×D5—41no—
1117C2×D5—41no—
1118C2×D5—41no—
1119C2×D5—41no—
1120C2×D5—41no—
1121C2×D5—41no—
1122C2×D5—41no—
1123C2×D5—41no—
1124C2×D5#53214yes—
1125C4×C5—22no—
1126C4×C5—22no—
1127C4×C5—22no—
1128C4×C5—22no—
1129C4×C5—22no—
1130C4×C5—41no—
1131C4×C5—41no—
1132C4×C5—41no—
1133C4×C5—41no—
1134C4×C5—41no—
1135C4×C5—41no—
1136C4×C5—41no—
1137C4×C5—41no—
1138C4×C5#54714yes—
1139Dic5—22no—
1140Dic5—22no—
1141Dic5—22no—
1142Dic5—22no—
1143Dic5—22no—
1144Dic5—41no—
1145Dic5—41no—
1146Dic5—41no—
1147Dic5—41no—
1148Dic5—41no—
1149Dic5—41no—
1150Dic5—41no—
1151Dic5#52914yescomplemented
1152C24—51no—
1153C24—51no—
1154C24—51no—
1155C24C23×D511yescharacteristic
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—41no—
1159C2×Q8—102no—
1160C2×Q8—102no—
1161C2×Q8—201no—
1162C2×D4—54no—
1163C2×D4—102no—
1164C2×D4—102no—
1165C2×D4—102no—
1166C2×D4—102no—
1167C2×D4—102no—
1168C2×D4—102no—
1169C2×D4—102no—
1170C2×D4—102no—
1171C2×D4—102no—
1172C2×D4—102no—
1173C2×D4—102no—
1174C2×D4—102no—
1175C2×D4—102no—
1176C2×D4—102no—
1177C2×D4—102no—
1178C2×D4—201no—
1179C2×D4—201no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—51no—
1184C22×C4—51no—
1185C22×C4—51no—
1186C22×C4—51no—
1187C22×C4—51no—
1188C22×C4—51no—
1189C22×C4—54no—
1190C22×C4—54no—
1191C22×C4—54no—
1192C22×C4—51no—
1193C22×C4—51no—
1194C22×C4—51no—
1195C22×C4—51no—
1196C22×C4—51no—
1197C22×C4—51no—
1198C22×C4—51no—
1199C22×C4—102no—
1200C22×C4—102no—
1201C22×C4—102no—
1202C22×C4—102no—
1203C22×C4—102no—
1204C22×C4—102no—
1205C22×C4—102no—
1206C22×C4—102no—
1207C22×C4—102no—
1208C22×C4—102no—
1209C22×C4—102no—
1210C22×C4—102no—
1211C22×C4—102no—
1212C22×C4—102no—
1213C22×C4—102no—
1214C22×C4—102no—
1215C22×C4—102no—
1216C22×C4—102no—
1217C22×C4—102no—
1218C22×C4—102no—
1219C22×C4—102no—
1220C22×C4—102no—
1221C22×C4—102no—
1222C22×C4—102no—
1223C22×C4—102no—
1224C22×C4—102no—
1225C22×C4—201no—
1226C22×C4—201no—
1227C22×C4—201no—
1228C22×C4—201no—
1229C22×C4C23×D511yescharacteristic
1230C22×C4C23×D511yescharacteristic
1231C22×C4C23×D511yescharacteristic
1232C22×C4C23×D511yescharacteristic
1233C22×C4C23×D511yescharacteristic
1234C22×C4C23×D511yescharacteristic
1235C22×C4C23×D511yescharacteristic
1236C22×C4C23×D511yescharacteristic
1237C22×C4C23×D511yescharacteristic
1238C22×C4C23×D511yescharacteristic
1239C22×C4C23×D511yescharacteristic
1240C22×C4C23×D511yescharacteristic
1241C22×C4C23×D511yescharacteristic
1242C22×C4C23×D511yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—41no—
1254C4⋊C4—54no—
1255C4⋊C4—54no—
1256C4⋊C4—102no—
1257C4⋊C4—102no—
1258C4⋊C4—102no—
1259C4⋊C4—102no—
1260C4⋊C4—102no—
1261C4⋊C4—102no—
1262C4⋊C4—102no—
1263C4⋊C4—102no—
1264C4⋊C4—102no—
1265C4⋊C4—102no—
1266C4⋊C4—102no—
1267C4⋊C4—102no—
1268C4⋊C4—102no—
1269C4⋊C4—102no—
1270C4⋊C4—102no—
1271C4⋊C4—102no—
1272C4⋊C4—102no—
1273C4⋊C4—102no—
1274C4⋊C4—102no—
1275C4⋊C4—102no—
1276C4⋊C4—102no—
1277C4⋊C4—102no—
1278C4⋊C4—102no—
1279C4⋊C4—102no—
1280C4⋊C4—102no—
1281C4⋊C4—102no—
1282C4⋊C4—201no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—41no—
1289C22⋊C4—54no—
1290C22⋊C4—54no—
1291C22⋊C4—54no—
1292C22⋊C4—102no—
1293C22⋊C4—102no—
1294C22⋊C4—102no—
1295C22⋊C4—102no—
1296C22⋊C4—102no—
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—201no—
1317C22⋊C4—201no—
1318C22⋊C4—201no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—54no—
1325C42—102no—
1326C42—102no—
1327C42—102no—
1328C42—102no—
1329C42—102no—
1330C42—102no—
1331C42—102no—
1332C42—102no—
1333C42—102no—
1334C42—102no—
1335C42—102no—
1336C42—102no—
1337C42—102no—
1338C42—102no—
1339C42—102no—
1340C42—201no—
1341C42D4×D514yes—
1342C2×C5—81no—
1343C2×C5C2×#52911yescharacteristic
1344C2×C5C2×#53211yescharacteristic
1345C2×C5#346111yescharacteristic
1346C2×C5C2×#54711yescharacteristic
1347C2×C5D4×#4111yescharacteristic
1348C2×C5#347511yescharacteristic
1349C2×C5#348211yescharacteristic
1350D5—24no—
1351D5—42no—
1352D5—81no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—52no—
1361C23—52no—
1362C23—52no—
1363C23—52no—
1364C23—101no—
1365C23—101no—
1366C23—101no—
1367C23—101no—
1368C23—101no—
1369C23—101no—
1370C23—101no—
1371C23—101no—
1372C23—101no—
1373C23—101no—
1374C23—101no—
1375C23—101no—
1376C23—101no—
1377C23—101no—
1378C23—101no—
1379C23—101no—
1380C23—101no—
1381C23C24×D511yescharacteristic
1382Q8—44no—
1383Q8—204no—
1384D4—108no—
1385D4—204no—
1386D4—204no—
1387D4—204no—
1388D4—204no—
1389D4—204no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—44no—
1425C2×C4—52no—
1426C2×C4—52no—
1427C2×C4—52no—
1428C2×C4—52no—
1429C2×C4—52no—
1430C2×C4—52no—
1431C2×C4—52no—
1432C2×C4—52no—
1433C2×C4—108no—
1434C2×C4—101no—
1435C2×C4—101no—
1436C2×C4—101no—
1437C2×C4—101no—
1438C2×C4—101no—
1439C2×C4—101no—
1440C2×C4—101no—
1441C2×C4—101no—
1442C2×C4—101no—
1443C2×C4—101no—
1444C2×C4—108no—
1445C2×C4—108no—
1446C2×C4—101no—
1447C2×C4—101no—
1448C2×C4—101no—
1449C2×C4—101no—
1450C2×C4—101no—
1451C2×C4—101no—
1452C2×C4—101no—
1453C2×C4—101no—
1454C2×C4—101no—
1455C2×C4—101no—
1456C2×C4—101no—
1457C2×C4—101no—
1458C2×C4—101no—
1459C2×C4—101no—
1460C2×C4—101no—
1461C2×C4—101no—
1462C2×C4—101no—
1463C2×C4—101no—
1464C2×C4—101no—
1465C2×C4—101no—
1466C2×C4—101no—
1467C2×C4—204no—
1468C2×C4—204no—
1469C2×C4—204no—
1470C2×C4—204no—
1471C2×C4—204no—
1472C2×C4—204no—
1473C2×C4—204no—
1474C2×C4—204no—
1475C2×C4C2×D4×D512yes—
1476C2×C4C2×D4×D512yes—
1477C2×C4C2×D4×D512yes—
1478C2×C4#414712yes—
1479C2×C4D5×#4112yes—
1480C2×C4D5×#4112yes—
1481C2×C4D5×#4112yes—
1482C2×C4D5×#4112yes—
1483C5#3476311yescharacteristic, complemented, Sylow
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—54no—
1492C22—102no—
1493C22—102no—
1494C22—102no—
1495C22—102no—
1496C22—102no—
1497C22—102no—
1498C22—102no—
1499C22—102no—
1500C22—102no—
1501C22—201no—
1502C22—201no—
1503C22—201no—
1504C22—201no—
1505C22—201no—
1506C22—201no—
1507C22—201no—
1508C22—201no—
1509C22—201no—
1510C22—201no—
1511C22—201no—
1512C22C22×D4×D511yescharacteristic
1513C22C2×#414711yescharacteristic
1514C22C2×D5×#4111yescharacteristic
1515C22C2×D5×#4111yescharacteristic
1516C22C2×D5×#4111yescharacteristic
1517C22C2×D5×#4111yescharacteristic
1518C22#6628311yescharacteristic
1519C4—22no—
1520C4—22no—
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—54no—
1533C4—102no—
1534C4—102no—
1535C4—102no—
1536C4—102no—
1537C4—102no—
1538C4—201no—
1539C4—201no—
1540C4—201no—
1541C4—201no—
1542C4—201no—
1543C4—201no—
1544C4—201no—
1545C4#6596514yes—
1546C2—81no—
1547C2—104no—
1548C2—202no—
1549C2—401no—
1550C2C2×#6596511yescharacteristic
1551C2#1061793811yescharacteristic
1552C2D5×#52911yescharacteristic
1553C2#1061805111yescharacteristic
1554C2D5×#53211yescharacteristic
1555C2#1061817611yescharacteristic
1556C2#1061817911yescharacteristic
subgroupG/H
centerC22×C4C23×D5
commutator, socle, cosocleC23×C5C25
FrattiniC23C24×D5
FittingC5×#2396C2
prime radical#10609015C2
hypercenter#2396D5
hypocenterC5#34763
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×#65862C2semidirect
3. C5×#2396C2semidirect
4. C4×#4090C2semidirect
5. #10613956C2semidirect
6. #10610078C2semidirect
7. #10609881C2semidirect
8. #10609765C2semidirect
9. #10609761C2semidirect
10. #10609679C2semidirect
11. #10609502C2semidirect
12. #10609497C2semidirect
13. #10609495C2semidirect
14. #10609148C2semidirect
15. #10609040C2semidirect
16. #10609037C2semidirect
18. #10608915C2semidirect
19. #10608905C2semidirect
20. #10608598C2semidirect
21. #10608523C2semidirect
22. #10605508C2semidirect
23. C4×#4040C2semidirect
24. #10605484C2semidirect
25. C4×D5×C4⋊C4C2semidirect
26. #10605399C2semidirect
27. C4×#4039C2semidirect
28. #10605313C2semidirect
29. C4×#4029C2semidirect
30. C4×#4030C2semidirect
31. C4×#4030C2semidirect
341. C4×D20D4semidirect
405. #2396D5semidirect
1151. Dic5#529semidirect
1483. C5#34763semidirect

Maximal subgroups

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

subgroupindex
C2×#659142
C2×#658622
C5×#23962
C4×#40902
#106139562
#106100782
#106098812
#106097652
#106097612
#106096792
#106095022
#106094972
#106094952
#106091482
#106090402
#106090372
#106090152
#106089152
#106089052
#106085982
#106085232
#106055082
C4×#40402
#106054842
C4×D5×C4⋊C42
#106053992
C4×#40392
#106053132
C4×#40292
C4×#40302
#347635