Finite Group Databasebeta

← #12271997

Subgroups — #12271997

Order 1280.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65979C211yesmaximal, characteristic, complemented
2C2×C4×D4×D5C211yesmaximal, characteristic, complemented
3C5×#2449C211yesmaximal, characteristic, complemented
4#10614565C211yesmaximal, characteristic, complemented
5#10614549C211yesmaximal, characteristic, complemented
6#10614547C211yesmaximal, characteristic, complemented
7#10614086C211yesmaximal, characteristic, complemented
8#10613926C211yesmaximal, characteristic, complemented
9C2×#65278C211yesmaximal, characteristic, complemented
10#10609832C211yesmaximal, characteristic, complemented
11#10609782C211yesmaximal, characteristic, complemented
12#10609552C211yesmaximal, characteristic, complemented
13#10609489C211yesmaximal, characteristic, complemented
14#10609066C211yesmaximal, characteristic, complemented
15#10609034C211yesmaximal, characteristic, complemented
16#10608983C211yesmaximal, characteristic, complemented
17#10608937C211yesmaximal, characteristic, complemented
18#10608016C211yesmaximal, characteristic, complemented
19#10607957C211yesmaximal, characteristic, complemented
20#10607177C211yesmaximal, characteristic, complemented
21#10606731C211yesmaximal, characteristic, complemented
22#10606619C211yesmaximal, characteristic
23#10606417C211yesmaximal, characteristic, complemented
24#10606397C211yesmaximal, characteristic, complemented
25#10606395C211yesmaximal, characteristic, complemented
26#10606387C211yesmaximal, characteristic, complemented
27#10606161C211yesmaximal, characteristic, complemented
28#10606139C211yesmaximal, characteristic, complemented
29#10606137C211yesmaximal, characteristic, complemented
30#10606114C211yesmaximal, characteristic, complemented
31#10606110C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×C22⋊Q8C2211yescharacteristic, complemented
36C2×C5×C22⋊Q8C2211yescharacteristic, complemented
37C2×C4×C5×D4C2211yescharacteristic
38C22×C5×C4⋊C4C2211yescharacteristic, complemented
39C2×#4092C2211yescharacteristic
40C2×#4092C2211yescharacteristic, complemented
41C2×#4092C2211yescharacteristic, complemented
42C2×#4085C2211yescharacteristic
43C2×#4081C2211yescharacteristic
44C2×D4×Dic5C2211yescharacteristic
45C2×#4076C2211yescharacteristic
46C2×C4×C22⋊D5C2211yescharacteristic
47C2×C4×C22⋊D5C2211yescharacteristic
48C22×#685C2211yescharacteristic
49C22×#685C2211yescharacteristic
50C22×#683C2211yescharacteristic, complemented
51#65979—28no—
52C4×D4×D5—28no—
53C2×#4044C2211yescharacteristic, complemented
54C2×#4044C2211yescharacteristic, complemented
55C2×#4040C2211yescharacteristic, complemented
56C2×#4040C2211yescharacteristic, complemented
57C2×#4040C2211yescharacteristic, complemented
58C2×#4039C2211yescharacteristic
59C2×#4039C2211yescharacteristic
60C2×#4039C2211yescharacteristic, complemented
61C2×D5×C4⋊C4C2211yescharacteristic
62C2×#4036C2211yescharacteristic, complemented
63C2×#4036C2211yescharacteristic, complemented
64C2×#4032C2211yescharacteristic
65C2×#4032C2211yescharacteristic, complemented
66C2×#4028C2211yescharacteristic
67C2×#4028C2211yescharacteristic
68C2×#4027C2211yescharacteristic
69C2×#4027C2211yescharacteristic
70C2×#4027C2211yescharacteristic, complemented
71C2×D5×C22⋊C4C2211yescharacteristic
72C2×D5×C22⋊C4C2211yescharacteristic
73C2×C4×D20C2211yescharacteristic
74C2×C42×D5C2211yescharacteristic
75C5×#399C2211yescharacteristic, complemented
76C5×#398C2211yescharacteristic, complemented
77C5×#396C2211yescharacteristic, complemented
78C5×#395C2211yescharacteristic, complemented
79C5×#389C2211yescharacteristic, complemented
80C5×#387C2211yescharacteristic, complemented
81C5×#386C2211yescharacteristic
82C5×#386C2211yescharacteristic
83C5×#385C2211yescharacteristic, complemented
84C5×#385C2211yescharacteristic, complemented
85C5×#385C2211yescharacteristic, complemented
86#65520C2211yescharacteristic, complemented
87#65502C2211yescharacteristic
88#65502C2211yescharacteristic, complemented
89#65502C2211yescharacteristic, complemented
90#65502C2211yescharacteristic, complemented
91#65501C2211yescharacteristic, complemented
92#65499C2211yescharacteristic, complemented
93C2×#3963C2211yescharacteristic, complemented
94C2×#3963C2211yescharacteristic, complemented
95#65283C2211yescharacteristic, complemented
96#65283C2211yescharacteristic, complemented
97#65283C2211yescharacteristic, complemented
98#65282C2211yescharacteristic, complemented
99#65282C2211yescharacteristic, complemented
100#65281C2211yescharacteristic, complemented
101#65281C2211yescharacteristic, complemented
102#65280C2211yescharacteristic, complemented
103#65280C2211yescharacteristic, complemented
104#65280C2211yescharacteristic, complemented
105#65279C2211yescharacteristic, complemented
106#65279C2211yescharacteristic, complemented
107#65278C2211yescharacteristic
108#65278C2211yescharacteristic
109#65278C2211yescharacteristic
110#65278C2211yescharacteristic
111#65278C2211yescharacteristic
112#65278C2211yescharacteristic
113#65278C2211yescharacteristic
114#65278C2211yescharacteristic, complemented
115#65278C2211yescharacteristic, complemented
116#65278C2211yescharacteristic, complemented
117#65278C2211yescharacteristic, complemented
118#65278C2211yescharacteristic, complemented
119#65278C2211yescharacteristic, complemented
120#65278C2211yescharacteristic, complemented
121#65276C2211yescharacteristic
122#65276C2211yescharacteristic
123#65276C2211yescharacteristic
124#65276C2211yescharacteristic, complemented
125#65273C2211yescharacteristic, complemented
126#65273C2211yescharacteristic, complemented
127#65272C2211yescharacteristic, complemented
128#65270C2211yescharacteristic, complemented
129#65270C2211yescharacteristic, complemented
130#65267C2211yescharacteristic, complemented
131#65266C2211yescharacteristic, complemented
132#65250C2211yescharacteristic
133#65250C2211yescharacteristic
134#65250C2211yescharacteristic
135#65250C2211yescharacteristic, complemented
136#65249C2211yescharacteristic
137#65247C2211yescharacteristic
138#65247C2211yescharacteristic, complemented
139#65245C2211yescharacteristic, complemented
140#65244C2211yescharacteristic
141#65244C2211yescharacteristic
142#65244C2211yescharacteristic
143#65244C2211yescharacteristic
144#65242C2211yescharacteristic, complemented
145#65239C2211yescharacteristic, complemented
146#65235C2211yescharacteristic, complemented
147#65235C2211yescharacteristic, complemented
148#65235C2211yescharacteristic, complemented
149#65234C2211yescharacteristic, complemented
150#65233C2211yescharacteristic, complemented
151#65233C2211yescharacteristic, complemented
152#65232C2211yescharacteristic, complemented
153#65231C2211yescharacteristic, complemented
154C22⋊C4×Dic5C2211yescharacteristic, complemented
155#65229C2211yescharacteristic, complemented
156#65217C2211yescharacteristic, complemented
157#64964C2211yescharacteristic, complemented
158#64963C2211yescharacteristic, complemented
159#64963C2211yescharacteristic, complemented
160#64961C2211yescharacteristic
161#64961C2211yescharacteristic
162#64961C2211yescharacteristic
163#64960C2211yescharacteristic
164#64959C2211yescharacteristic, complemented
165#64958C2211yescharacteristic, complemented
166#64957C2211yescharacteristic
167#64957C2211yescharacteristic
168#64957C2211yescharacteristic
169#64957C2211yescharacteristic, complemented
170#64955C2211yescharacteristic
171#64955C2211yescharacteristic, complemented
172#64954C2211yescharacteristic
173#64954C2211yescharacteristic
174#64954C2211yescharacteristic
175#64954C2211yescharacteristic
176#64954C2211yescharacteristic, complemented
177#64953C2211yescharacteristic, complemented
178#64953C2211yescharacteristic, complemented
179#64949C2211yescharacteristic, complemented
180#64944C2211yescharacteristic, complemented
181#64944C2211yescharacteristic, complemented
182#64944C2211yescharacteristic, complemented
183#64941C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64941C2211yescharacteristic, complemented
186#64940C2211yescharacteristic, complemented
187#64936C2211yescharacteristic, complemented
188#64936C2211yescharacteristic, complemented
189#34991—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
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C23×Dic5C2311yescharacteristic
203C23×Dic5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C23×Dic5C2311yescharacteristic
206C2×D4×D5—24no—
207C2×D4×D5—24no—
208C2×D4×D5—24no—
209C22×D20C2311yescharacteristic
210C22×D20C2311yescharacteristic
211C22×D20C2311yescharacteristic
212C22×D20C2311yescharacteristic
213C22×C4×D5—24no—
214C22×C4×D5—24no—
215C22×C4×D5—42no—
216C22×C4×D5—42no—
217C22×C4×D5—42no—
218C22×C4×D5—42no—
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×C4×D5C2311yescharacteristic
228C22×C4×D5C2311yescharacteristic
229C5×C22⋊Q8—24no—
230C5×C22⋊Q8—42no—
231C4×C5×D4—24no—
232C2×C5×C4⋊C4—42no—
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×C4⋊C4C2311yescharacteristic
241C2×C5×C4⋊C4C2311yescharacteristic
242C2×C5×C4⋊C4C2311yescharacteristic
243C2×C5×C4⋊C4C2311yescharacteristic
244C2×C5×C4⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4C2311yescharacteristic
251C2×C5×C22⋊C4C2311yescharacteristic
252C2×C5×C22⋊C4C2311yescharacteristic
253C2×C42×C5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260#4092—24no—
261#4092—24no—
262#4092—42no—
263#4085—24no—
264#4081—24no—
265D4×Dic5—24no—
266#4076—24no—
267C4×C22⋊D5—24no—
268C4×C22⋊D5—24no—
269C2×#685—24no—
270C2×#685—42no—
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×#685C2311yescharacteristic
298C2×#685C2311yescharacteristic
299C2×#685C2311yescharacteristic
300C2×#685C2311yescharacteristic
301C2×#685C2311yescharacteristic
302C2×#685C2311yescharacteristic
303C2×#685C2311yescharacteristic
304C2×#685C2311yescharacteristic
305C2×C4⋊Dic5C2311yescharacteristic
306C2×C4⋊Dic5C2311yescharacteristic
307C2×C4⋊Dic5C2311yescharacteristic
308C2×C4⋊Dic5C2311yescharacteristic
309C2×C4⋊Dic5C2311yescharacteristic
310C2×C4⋊Dic5C2311yescharacteristic
311C2×C4⋊Dic5C2311yescharacteristic
312C2×C4⋊Dic5C2311yescharacteristic
313C2×#683—24no—
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×#683C2311yescharacteristic
321C2×#683C2311yescharacteristic
322C2×#683C2311yescharacteristic
323C2×#683C2311yescharacteristic
324C2×#683C2311yescharacteristic
325C2×#683C2311yescharacteristic
326C2×#683C2311yescharacteristic
327C2×#683C2311yescharacteristic
328C2×C4×Dic5C2311yescharacteristic
329C2×C4×Dic5C2311yescharacteristic
330C2×C4×Dic5C2311yescharacteristic
331C2×C4×Dic5C2311yescharacteristic
332C2×C4×Dic5C2311yescharacteristic
333C2×C4×Dic5C2311yescharacteristic
334#4044—24no—
335#4044—24no—
336#4040—24no—
337#4040—24no—
338#4040—42no—
339#4039—24no—
340#4039—42no—
341#4039—42no—
342D5×C4⋊C4—24no—
343#4036—24no—
344#4036—24no—
345#4032—24no—
346#4032—24no—
347#4028—24no—
348#4028—42no—
349#4027—24no—
350#4027—24no—
351#4027D418yescomplemented
352D5×C22⋊C4—24no—
353D5×C22⋊C4—24no—
354C4×D20—24no—
355C42×D5—24no—
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392C2×#539—51no—
393C22×C4×D4—51no—
394#2852—51no—
395#2851—51no—
396#2849—51no—
397#2848—51no—
398#2638—51no—
399#2636—51no—
400#2633—51no—
401#2630—51no—
402#2480—51no—
403#2473—51no—
404#2466—51no—
405#2463—51no—
406#2460—51no—
407#2455—51no—
408#2449—51no—
409#2449D511yescharacteristic, complemented
410#2443—51no—
411#2437—51no—
412#2425—51no—
413#2419—51no—
414#2418—51no—
415#2412—51no—
416#2410—51no—
417#2405—51no—
418#2325—51no—
419#2322—51no—
420#2318—51no—
421C4×#120—51no—
422C2×#385—51no—
423C24×C5C2411yescharacteristic
424C24×C5C2411yescharacteristic
425C23×D5—22no—
426C23×D5—22no—
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—22no—
430C23×D5—22no—
431C23×D5—22no—
432C23×D5—22no—
433C23×D5—22no—
434C23×D5—41no—
435C23×D5—41no—
436C23×D5—41no—
437C23×D5—41no—
438C23×D5#4114yes—
439C23×D5C2411yescharacteristic
440C23×D5C2411yescharacteristic
441C23×D5C2411yescharacteristic
442C23×D5C2411yescharacteristic
443C2×C5×Q8—22no—
444C2×C5×Q8—41no—
445C2×C5×Q8—41no—
446C2×C5×D4—22no—
447C2×C5×D4—22no—
448C2×C5×D4#4114yes—
449C22×C4×C5—22no—
450C22×C4×C5—22no—
451C22×C4×C5—22no—
452C22×C4×C5—22no—
453C22×C4×C5—22no—
454C22×C4×C5—22no—
455C22×C4×C5—41no—
456C22×C4×C5—41no—
457C22×C4×C5—41no—
458C22×C4×C5—41no—
459C22×C4×C5—41no—
460C22×C4×C5—41no—
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
471C22×C4×C5C2411yescharacteristic
472C22×C4×C5C2411yescharacteristic
473C22×C4×C5C2411yescharacteristic
474C2×C22⋊D5—22no—
475C2×C22⋊D5—22no—
476C2×C22⋊D5—22no—
477C2×C22⋊D5—22no—
478C2×C22⋊D5—22no—
479C2×C22⋊D5—22no—
480C2×C22⋊D5—22no—
481C2×C22⋊D5—22no—
482C2×C22⋊D5—22no—
483C2×C22⋊D5—41no—
484C2×C22⋊D5—41no—
485C2×C22⋊D5C2×D414yes—
486C22×Dic5—22no—
487C22×Dic5—22no—
488C22×Dic5—22no—
489C22×Dic5—22no—
490C22×Dic5—22no—
491C22×Dic5—41no—
492C22×Dic5—41no—
493C22×Dic5—41no—
494C22×Dic5—41no—
495C22×Dic5—41no—
496C22×Dic5—41no—
497C22×Dic5C2×D414yes—
498C22×Dic5C2411yescharacteristic
499C22×Dic5C2411yescharacteristic
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2411yescharacteristic
502C22×Dic5C2411yescharacteristic
503C22×Dic5C2411yescharacteristic
504C22×Dic5C2411yescharacteristic
505C22×Dic5C2411yescharacteristic
506C22×Dic5C2411yescharacteristic
507C22×Dic5C2411yescharacteristic
508C22×Dic5C2411yescharacteristic
509C22×Dic5C2411yescharacteristic
510D4×D5—232no—
511C2×D20—22no—
512C2×D20—22no—
513C2×D20—22no—
514C2×D20—22no—
515C2×D20—22no—
516C2×D20—22no—
517C2×D20—22no—
518C2×D20—22no—
519C2×D20—41no—
520C2×D20—41no—
521C2×D20—41no—
522C2×D20—41no—
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—22no—
535C2×C4×D5—22no—
536C2×C4×D5—22no—
537C2×C4×D5—22no—
538C2×C4×D5—22no—
539C2×C4×D5—22no—
540C2×C4×D5—22no—
541C2×C4×D5—416no—
542C2×C4×D5—416no—
543C2×C4×D5—41no—
544C2×C4×D5—41no—
545C2×C4×D5—41no—
546C2×C4×D5—41no—
547C2×C4×D5—41no—
548C2×C4×D5—41no—
549C2×C4×D5—41no—
550C2×C4×D5—41no—
551C2×C4×D5—41no—
552C2×C4×D5—41no—
553C2×C4×D5—41no—
554C2×C4×D5C2×D414yes—
555C5×C4⋊C4—22no—
556C5×C4⋊C4—22no—
557C5×C4⋊C4—22no—
558C5×C4⋊C4—22no—
559C5×C4⋊C4—22no—
560C5×C4⋊C4—22no—
561C5×C4⋊C4—22no—
562C5×C4⋊C4—41no—
563C5×C4⋊C4—41no—
564C5×C4⋊C4—41no—
565C5×C4⋊C4—41no—
566C5×C4⋊C4—41no—
567C5×C22⋊C4—22no—
568C5×C22⋊C4—22no—
569C5×C22⋊C4—22no—
570C5×C22⋊C4—41no—
571C5×C22⋊C4—41no—
572C5×C22⋊C4—41no—
573C5×C22⋊C4—41no—
574C5×C22⋊C4C2×D414yes—
575C42×C5—22no—
576C22⋊Dic5—22no—
577C22⋊Dic5—22no—
578C22⋊Dic5—22no—
579C22⋊Dic5—22no—
580C22⋊Dic5—22no—
581C22⋊Dic5—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—41no—
605#685—41no—
606#685—41no—
607#685—41no—
608#685—41no—
609#685—41no—
610#685—41no—
611#685—41no—
612#685—41no—
613#685—41no—
614#685—41no—
615#685C2×D414yes—
616C4⋊Dic5—22no—
617C4⋊Dic5—22no—
618C4⋊Dic5—22no—
619C4⋊Dic5—22no—
620C4⋊Dic5—22no—
621C4⋊Dic5—22no—
622C4⋊Dic5—41no—
623C4⋊Dic5—41no—
624#683—22no—
625#683—22no—
626#683—22no—
627#683—22no—
628#683—22no—
629#683—22no—
630#683—22no—
631#683—22no—
632#683—22no—
633#683—41no—
634#683—41no—
635#683—41no—
636#683—41no—
637#683C2×D414yes—
638C4×Dic5—22no—
639C4×Dic5—22no—
640C4×Dic5—22no—
641C4×Dic5—41no—
642C4×Dic5—41no—
643C4×Dic5C2×D414yes—
644C23×D4—51no—
645C24×C4—51no—
646C24×C4—51no—
647#539—108no—
648C2×#126—51no—
649C2×#126—51no—
650C2×#125—51no—
651C2×#125—51no—
652C2×#123—51no—
653C2×#123—51no—
654C2×#123—51no—
655C2×#123—51no—
656C2×#123—51no—
657C2×#123—51no—
658C2×C22⋊Q8—51no—
659C2×C22⋊Q8—51no—
660C2×C22⋊Q8—51no—
661C2×C22⋊Q8C2×D511yescharacteristic, complemented
662C2×C22⋊Q8C2×D511yescharacteristic, complemented
663C2×#121—51no—
664C2×#121—51no—
665C2×#120—51no—
666C2×#120—51no—
667C2×C4×D4—51no—
668C2×C4×D4—51no—
669C2×C4×D4—51no—
670C2×C4×D4—51no—
671C2×C4×D4—51no—
672C2×C4×D4—51no—
673C2×C4×D4—51no—
674C2×C4×D4—51no—
675C2×C4×D4—51no—
676C2×C4×D4—51no—
677C2×C4×D4—108no—
678C2×C4×D4C2×D511yescharacteristic
679C22×C4⋊C4—51no—
680C22×C4⋊C4—51no—
681C22×C4⋊C4C2×D511yescharacteristic, complemented
682C22×C22⋊C4—51no—
683C22×C22⋊C4—51no—
684C22×C22⋊C4—51no—
685C22×C22⋊C4—51no—
686C22×C42—51no—
687#400—51no—
688#399—51no—
689#399—51no—
690#399C2×D511yescharacteristic, complemented
691#398—51no—
692#398—51no—
693#398—51no—
694#398C2×D511yescharacteristic, complemented
695#397—51no—
696#397—51no—
697#397—51no—
698#397—51no—
699#397—51no—
700#397—51no—
701#396—51no—
702#396—51no—
703#396—51no—
704#396C2×D511yescharacteristic, complemented
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#394—51no—
715#394—51no—
716#393—51no—
717#392—51no—
718#392—51no—
719#389—51no—
720#389—51no—
721#389—51no—
722#389C2×D511yescharacteristic, complemented
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388—51no—
730#388—51no—
731#387—51no—
732#387—51no—
733#387—51no—
734#387—51no—
735#387—51no—
736#387—51no—
737#387—51no—
738#387—51no—
739#387—51no—
740#387C2×D511yescharacteristic, complemented
741#386—51no—
742#386—51no—
743#386—51no—
744#386—51no—
745#386—51no—
746#386—51no—
747#386—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386C2×D511yescharacteristic
754#386C2×D511yescharacteristic
755#385—51no—
756#385—51no—
757#385—51no—
758#385—51no—
759#385—51no—
760#385—51no—
761#385—51no—
762#385—51no—
763#385—51no—
764#385—51no—
765#385—51no—
766#385—51no—
767#385—51no—
768#385—51no—
769#385—51no—
770#385—51no—
771#385—51no—
772#385—51no—
773#385—51no—
774#385—51no—
775#385—51no—
776#385—51no—
777#385—51no—
778#385C2×D511yescharacteristic, complemented
779#385C2×D511yescharacteristic, complemented
780#385C2×D511yescharacteristic, complemented
781#383—51no—
782#382—51no—
783#381—51no—
784#381—51no—
785#381—51no—
786#380—51no—
787#380—51no—
788#380—51no—
789#380—51no—
790#380—51no—
791#380—51no—
792#379—51no—
793#379—51no—
794#379—51no—
795#379—51no—
796C4×C22⋊C4—51no—
797C4×C22⋊C4—51no—
798C4×C22⋊C4—51no—
799C2×#95—51no—
800C2×#95—51no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—21no—
810C23×C5—21no—
811C23×C5C22×D412yes—
812C23×C5C2×#4112yes—
813C23×C5C2×#4112yes—
814C23×C5C2×#4112yes—
815C23×C5C2511yescharacteristic
816C22×D5—21no—
817C22×D5—21no—
818C22×D5—21no—
819C22×D5—21no—
820C22×D5—28no—
821C22×D5—28no—
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—28no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—21no—
841C22×D5—21no—
842C22×D5—44no—
843C22×D5—44no—
844C22×D5—44no—
845C22×D5—44no—
846C22×D5—44no—
847C22×D5—44no—
848C22×D5—44no—
849C22×D5—44no—
850C22×D5—44no—
851C22×D5—44no—
852C22×D5—44no—
853C22×D5C22×D412yes—
854C22×D5C2×#4112yes—
855C22×D5C2×#4112yes—
856C22×D5H(5,𝔽2)12yes—
857C22×D52−1+412yes—
858C5×Q8—82no—
859C5×D4—28no—
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—21no—
885C2×C4×C5—21no—
886C2×C4×C5—21no—
887C2×C4×C5—21no—
888C2×C4×C5—21no—
889C2×C4×C5—21no—
890C2×C4×C5—21no—
891C2×C4×C5—21no—
892C2×C4×C5—21no—
893C2×C4×C5—21no—
894C2×C4×C5—21no—
895C2×C4×C5—44no—
896C2×C4×C5—44no—
897C2×C4×C5—44no—
898C2×C4×C5—82no—
899C2×C4×C5C22×D412yes—
900C2×C4×C5C22×D412yes—
901C2×C4×C5C2×#4112yes—
902C2×C4×C5H(5,𝔽2)12yes—
903C22⋊D5—28no—
904C22⋊D5—28no—
905C22⋊D5—44no—
906C22⋊D5—82no—
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—21no—
930C2×Dic5—21no—
931C2×Dic5—21no—
932C2×Dic5—21no—
933C2×Dic5—21no—
934C2×Dic5—21no—
935C2×Dic5—21no—
936C2×Dic5—21no—
937C2×Dic5—21no—
938C2×Dic5—21no—
939C2×Dic5—21no—
940C2×Dic5—44no—
941C2×Dic5—44no—
942C2×Dic5—44no—
943C2×Dic5—82no—
944C2×Dic5C22×D412yes—
945C2×Dic5C22×D412yes—
946C2×Dic5C22×D412yes—
947D20—28no—
948D20—44no—
949D20—44no—
950D20—82no—
951C4×D5—28no—
952C4×D5—28no—
953C4×D5—44no—
954C4×D5—44no—
955C4×D5—44no—
956C4×D5—44no—
957C4×D5—44no—
958C4×D5—44no—
959C4×D5—44no—
960C4×D5—82no—
961C25—51no—
962C25—51no—
963C22×Q8C22×D511yescharacteristic
964C22×D4—51no—
965C22×D4—51no—
966C22×D4—51no—
967C22×D4—51no—
968C22×D4—51no—
969C22×D4—51no—
970C22×D4—51no—
971C22×D4—51no—
972C22×D4—104no—
973C22×D4—104no—
974C22×D4—104no—
975C22×D4C22×D511yescharacteristic
976C23×C4—51no—
977C23×C4—51no—
978C23×C4—51no—
979C23×C4—51no—
980C23×C4—51no—
981C23×C4—51no—
982C23×C4—51no—
983C23×C4—51no—
984C23×C4—51no—
985C23×C4—51no—
986C23×C4—51no—
987C23×C4—51no—
988C23×C4—51no—
989C23×C4—51no—
990C23×C4—104no—
991C23×C4—104no—
992C23×C4—202no—
993C23×C4—202no—
994C23×C4—202no—
995C23×C4—202no—
996C23×C4C22×D511yescharacteristic
997C23×C4C22×D511yescharacteristic
998C23×C4C22×D511yescharacteristic
999C23×C4C22×D511yescharacteristic
1000#126—104no—
1001#126—104no—
1002#125—104no—
1003#125—104no—
1004#123—104no—
1005#123—104no—
1006#123—104no—
1007#123—104no—
1008#123—104no—
1009#123—202no—
1010C22⋊Q8—24no—
1011C22⋊Q8—42no—
1012C22⋊Q8—104no—
1013C22⋊Q8—104no—
1014C22⋊Q8—202no—
1015#121—104no—
1016#121—104no—
1017#120—104no—
1018#120—202no—
1019C4×D4—24no—
1020C4×D4—58no—
1021C4×D4—104no—
1022C4×D4—104no—
1023C4×D4—104no—
1024C4×D4—104no—
1025C4×D4—104no—
1026C4×D4—104no—
1027C4×D4—104no—
1028C4×D4—202no—
1029C4×D4—202no—
1030C2×C4⋊C4—42no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—51no—
1033C2×C4⋊C4—51no—
1034C2×C4⋊C4—51no—
1035C2×C4⋊C4—51no—
1036C2×C4⋊C4—51no—
1037C2×C4⋊C4—51no—
1038C2×C4⋊C4—51no—
1039C2×C4⋊C4—51no—
1040C2×C4⋊C4—51no—
1041C2×C4⋊C4—51no—
1042C2×C4⋊C4—51no—
1043C2×C4⋊C4—51no—
1044C2×C4⋊C4—51no—
1045C2×C4⋊C4—51no—
1046C2×C4⋊C4—51no—
1047C2×C4⋊C4—51no—
1048C2×C4⋊C4—51no—
1049C2×C4⋊C4—51no—
1050C2×C4⋊C4—51no—
1051C2×C4⋊C4—51no—
1052C2×C4⋊C4—51no—
1053C2×C4⋊C4—104no—
1054C2×C4⋊C4—104no—
1055C2×C4⋊C4C22×D511yescharacteristic
1056C2×C4⋊C4C22×D511yescharacteristic
1057C2×C4⋊C4C22×D511yescharacteristic
1058C2×C4⋊C4C22×D511yescharacteristic
1059C2×C4⋊C4C22×D511yescharacteristic
1060C2×C4⋊C4C22×D511yescharacteristic
1061C2×C4⋊C4C22×D511yescharacteristic
1062C2×C4⋊C4C22×D511yescharacteristic
1063C2×C4⋊C4C22×D511yescharacteristic
1064C2×C4⋊C4C22×D511yescharacteristic
1065C2×C4⋊C4C22×D511yescharacteristic
1066C2×C4⋊C4C22×D511yescharacteristic
1067C2×C22⋊C4—51no—
1068C2×C22⋊C4—51no—
1069C2×C22⋊C4—51no—
1070C2×C22⋊C4—51no—
1071C2×C22⋊C4—51no—
1072C2×C22⋊C4—51no—
1073C2×C22⋊C4—51no—
1074C2×C22⋊C4—51no—
1075C2×C22⋊C4—51no—
1076C2×C22⋊C4—51no—
1077C2×C22⋊C4—51no—
1078C2×C22⋊C4—51no—
1079C2×C22⋊C4—51no—
1080C2×C22⋊C4—51no—
1081C2×C22⋊C4—51no—
1082C2×C22⋊C4—51no—
1083C2×C22⋊C4—51no—
1084C2×C22⋊C4—51no—
1085C2×C22⋊C4—51no—
1086C2×C22⋊C4—51no—
1087C2×C22⋊C4—51no—
1088C2×C22⋊C4—51no—
1089C2×C22⋊C4—51no—
1090C2×C22⋊C4—51no—
1091C2×C22⋊C4—51no—
1092C2×C22⋊C4—51no—
1093C2×C22⋊C4—51no—
1094C2×C22⋊C4—51no—
1095C2×C22⋊C4—51no—
1096C2×C22⋊C4—51no—
1097C2×C22⋊C4—51no—
1098C2×C22⋊C4—51no—
1099C2×C22⋊C4—51no—
1100C2×C22⋊C4—51no—
1101C2×C22⋊C4—51no—
1102C2×C22⋊C4—51no—
1103C2×C22⋊C4—51no—
1104C2×C22⋊C4—51no—
1105C2×C22⋊C4—51no—
1106C2×C22⋊C4—51no—
1107C2×C22⋊C4—104no—
1108C2×C22⋊C4—104no—
1109C2×C22⋊C4—104no—
1110C2×C22⋊C4—202no—
1111C2×C22⋊C4C22×D511yescharacteristic
1112C2×C22⋊C4C22×D511yescharacteristic
1113C2×C22⋊C4C22×D511yescharacteristic
1114C2×C22⋊C4C22×D511yescharacteristic
1115C2×C22⋊C4C22×D511yescharacteristic
1116C2×C22⋊C4C22×D511yescharacteristic
1117C2×C22⋊C4C22×D511yescharacteristic
1118C2×C22⋊C4C22×D511yescharacteristic
1119C2×C42—51no—
1120C2×C42—51no—
1121C2×C42—51no—
1122C2×C42—51no—
1123C2×C42—51no—
1124C2×C42—51no—
1125C2×C42—104no—
1126C2×C42C22×D511yescharacteristic
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130#95—51no—
1131#95—51no—
1132#95—51no—
1133#95—51no—
1134#95—51no—
1135#95—51no—
1136#95—51no—
1137#95—51no—
1138#95—51no—
1139#95—51no—
1140#95—51no—
1141#95—51no—
1142#95—51no—
1143#95—51no—
1144#95—51no—
1145#95—51no—
1146#95—51no—
1147#95—51no—
1148#95—51no—
1149#95—51no—
1150#95—51no—
1151#95—51no—
1152#95—51no—
1153#95—51no—
1154#95—51no—
1155#95C22×D511yescharacteristic
1156#95C22×D511yescharacteristic
1157#95C22×D511yescharacteristic
1158#95C22×D511yescharacteristic
1159#95C22×D511yescharacteristic
1160#95C22×D511yescharacteristic
1161#95C22×D511yescharacteristic
1162#95C22×D511yescharacteristic
1163C22×C5—22no—
1164C22×C5—22no—
1165C22×C5—22no—
1166C22×C5—22no—
1167C22×C5—22no—
1168C22×C5—22no—
1169C22×C5—22no—
1170C22×C5—22no—
1171C22×C5—22no—
1172C22×C5—41no—
1173C22×C5—41no—
1174C22×C5—41no—
1175C22×C5—41no—
1176C22×C5#52514yes—
1177C22×C5C23×D411yescharacteristic
1178C22×C5C22×#4111yescharacteristic
1179C22×C5C22×#4111yescharacteristic
1180C22×C5C2×H(5,𝔽2)11yescharacteristic
1181C22×C5C2×H(5,𝔽2)11yescharacteristic
1182C22×C5C2×2−1+411yescharacteristic
1183C22×C5#58511yescharacteristic
1184C2×D5—22no—
1185C2×D5—22no—
1186C2×D5—22no—
1187C2×D5—22no—
1188C2×D5—22no—
1189C2×D5—22no—
1190C2×D5—22no—
1191C2×D5—22no—
1192C2×D5—22no—
1193C2×D5—22no—
1194C2×D5—22no—
1195C2×D5—22no—
1196C2×D5—416no—
1197C2×D5—416no—
1198C2×D5—41no—
1199C2×D5—41no—
1200C2×D5—41no—
1201C2×D5—41no—
1202C2×D5—41no—
1203C2×D5—41no—
1204C2×D5—41no—
1205C2×D5—41no—
1206C2×D5—41no—
1207C2×D5—41no—
1208C2×D5—41no—
1209C2×D5—41no—
1210C2×D5—41no—
1211C2×D5—41no—
1212C2×D5—41no—
1213C2×D5#53914yescomplemented
1214C4×C5—22no—
1215C4×C5—22no—
1216C4×C5—22no—
1217C4×C5—22no—
1218C4×C5—41no—
1219C4×C5—41no—
1220C4×C5—41no—
1221C4×C5—41no—
1222C4×C5—41no—
1223C4×C5—41no—
1224C4×C5—41no—
1225C4×C5—41no—
1226C4×C5—41no—
1227Dic5—22no—
1228Dic5—22no—
1229Dic5—22no—
1230Dic5—41no—
1231Dic5—41no—
1232Dic5—41no—
1233Dic5—41no—
1234Dic5—41no—
1235Dic5—41no—
1236Dic5—41no—
1237Dic5—41no—
1238Dic5—41no—
1239C24—51no—
1240C24—51no—
1241C24—51no—
1242C24—54no—
1243C24—51no—
1244C24—102no—
1245C24—102no—
1246C24—102no—
1247C24—102no—
1248C24—102no—
1249C24—102no—
1250C24—102no—
1251C24—102no—
1252C24—102no—
1253C24—201no—
1254C24—201no—
1255C24—201no—
1256C24—201no—
1257C24C23×D511yescharacteristic
1258C24C23×D511yescharacteristic
1259C2×Q8—22no—
1260C2×Q8—41no—
1261C2×Q8—41no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—54no—
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—1032no—
1274C2×D4—102no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—102no—
1278C2×D4—102no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—102no—
1282C2×D4—102no—
1283C2×D4—201no—
1284C2×D4—201no—
1285C2×D4—201no—
1286C2×D4—201no—
1287C2×D4—201no—
1288C2×D4—201no—
1289C2×D4#71314yes—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—51no—
1303C22×C4—51no—
1304C22×C4—51no—
1305C22×C4—54no—
1306C22×C4—54no—
1307C22×C4—51no—
1308C22×C4—51no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—51no—
1312C22×C4—51no—
1313C22×C4—51no—
1314C22×C4—51no—
1315C22×C4—51no—
1316C22×C4—102no—
1317C22×C4—102no—
1318C22×C4—102no—
1319C22×C4—102no—
1320C22×C4—102no—
1321C22×C4—102no—
1322C22×C4—102no—
1323C22×C4—102no—
1324C22×C4—102no—
1325C22×C4—102no—
1326C22×C4—102no—
1327C22×C4—102no—
1328C22×C4—102no—
1329C22×C4—102no—
1330C22×C4—102no—
1331C22×C4—102no—
1332C22×C4—102no—
1333C22×C4—102no—
1334C22×C4—102no—
1335C22×C4—102no—
1336C22×C4—102no—
1337C22×C4—102no—
1338C22×C4—102no—
1339C22×C4—201no—
1340C22×C4—201no—
1341C22×C4—201no—
1342C22×C4—201no—
1343C22×C4—201no—
1344C22×C4—201no—
1345C22×C4—201no—
1346C22×C4—201no—
1347C22×C4—201no—
1348C22×C4—201no—
1349C22×C4—201no—
1350C22×C4—2016no—
1351C22×C4—2016no—
1352C22×C4—201no—
1353C22×C4—201no—
1354C22×C4—201no—
1355C22×C4—201no—
1356C22×C4—201no—
1357C22×C4—201no—
1358C22×C4C23×D511yescharacteristic
1359C22×C4C23×D511yescharacteristic
1360C22×C4C23×D511yescharacteristic
1361C22×C4C23×D511yescharacteristic
1362C22×C4C23×D511yescharacteristic
1363C22×C4C23×D511yescharacteristic
1364C22×C4C23×D511yescharacteristic
1365C22×C4C23×D511yescharacteristic
1366C22×C4C23×D511yescharacteristic
1367C22×C4C23×D511yescharacteristic
1368C22×C4C23×D511yescharacteristic
1369C22×C4C23×D511yescharacteristic
1370C22×C4C23×D511yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—41no—
1383C4⋊C4—54no—
1384C4⋊C4—102no—
1385C4⋊C4—102no—
1386C4⋊C4—102no—
1387C4⋊C4—102no—
1388C4⋊C4—102no—
1389C4⋊C4—102no—
1390C4⋊C4—102no—
1391C4⋊C4—102no—
1392C4⋊C4—102no—
1393C4⋊C4—102no—
1394C4⋊C4—102no—
1395C4⋊C4—102no—
1396C4⋊C4—102no—
1397C4⋊C4—102no—
1398C4⋊C4—102no—
1399C4⋊C4—201no—
1400C4⋊C4—201no—
1401C4⋊C4—201no—
1402C4⋊C4—201no—
1403C4⋊C4—201no—
1404C4⋊C4—201no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—54no—
1413C22⋊C4—102no—
1414C22⋊C4—102no—
1415C22⋊C4—102no—
1416C22⋊C4—102no—
1417C22⋊C4—102no—
1418C22⋊C4—102no—
1419C22⋊C4—102no—
1420C22⋊C4—102no—
1421C22⋊C4—102no—
1422C22⋊C4—102no—
1423C22⋊C4—102no—
1424C22⋊C4—102no—
1425C22⋊C4—102no—
1426C22⋊C4—102no—
1427C22⋊C4—102no—
1428C22⋊C4—102no—
1429C22⋊C4—102no—
1430C22⋊C4—102no—
1431C22⋊C4—102no—
1432C22⋊C4—102no—
1433C22⋊C4—102no—
1434C22⋊C4—102no—
1435C22⋊C4—102no—
1436C22⋊C4—102no—
1437C22⋊C4—102no—
1438C22⋊C4—102no—
1439C22⋊C4—102no—
1440C22⋊C4—102no—
1441C22⋊C4—201no—
1442C22⋊C4—201no—
1443C22⋊C4—201no—
1444C22⋊C4—201no—
1445C22⋊C4—201no—
1446C22⋊C4—201no—
1447C22⋊C4—201no—
1448C22⋊C4—201no—
1449C22⋊C4—201no—
1450C22⋊C4—201no—
1451C22⋊C4—201no—
1452C22⋊C4D4×D514yes—
1453C42—22no—
1454C42—54no—
1455C42—102no—
1456C42—102no—
1457C42—102no—
1458C42—201no—
1459C42—201no—
1460C2×C5—24no—
1461C2×C5—42no—
1462C2×C5C2×#52511yescharacteristic
1463C2×C5C2×#53911yescharacteristic
1464C2×C5#345911yescharacteristic
1465C2×C5#348411yescharacteristic
1466C2×C5#348911yescharacteristic
1467C2×C5#351311yescharacteristic
1468C2×C5#352011yescharacteristic
1469D5—24no—
1470D5—42no—
1471D5—42no—
1472D5—81no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—52no—
1484C23—52no—
1485C23—52no—
1486C23—52no—
1487C23—52no—
1488C23—108no—
1489C23—108no—
1490C23—101no—
1491C23—101no—
1492C23—101no—
1493C23—101no—
1494C23—108no—
1495C23—101no—
1496C23—101no—
1497C23—101no—
1498C23—101no—
1499C23—101no—
1500C23—101no—
1501C23—101no—
1502C23—101no—
1503C23—101no—
1504C23—101no—
1505C23—101no—
1506C23—101no—
1507C23—101no—
1508C23—101no—
1509C23—101no—
1510C23—101no—
1511C23—101no—
1512C23—101no—
1513C23—101no—
1514C23—204no—
1515C23—204no—
1516C23—204no—
1517C23—204no—
1518C23—204no—
1519C23—204no—
1520C23—204no—
1521C23—204no—
1522C23—204no—
1523C23—204no—
1524C23—204no—
1525C23C2×D4×D512yes—
1526C23C2×#71312yes—
1527C23C2×#71312yes—
1528C23D5×#4112yes—
1529C23C24×D511yescharacteristic
1530Q8—82no—
1531D4—28no—
1532D4—108no—
1533D4—108no—
1534D4—108no—
1535D4—204no—
1536D4—204no—
1537D4—204no—
1538D4—402no—
1539D4—402no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—52no—
1579C2×C4—52no—
1580C2×C4—52no—
1581C2×C4—82no—
1582C2×C4—108no—
1583C2×C4—108no—
1584C2×C4—101no—
1585C2×C4—101no—
1586C2×C4—101no—
1587C2×C4—101no—
1588C2×C4—101no—
1589C2×C4—101no—
1590C2×C4—101no—
1591C2×C4—101no—
1592C2×C4—101no—
1593C2×C4—101no—
1594C2×C4—101no—
1595C2×C4—101no—
1596C2×C4—101no—
1597C2×C4—101no—
1598C2×C4—101no—
1599C2×C4—101no—
1600C2×C4—101no—
1601C2×C4—101no—
1602C2×C4—101no—
1603C2×C4—101no—
1604C2×C4—101no—
1605C2×C4—101no—
1606C2×C4—101no—
1607C2×C4—101no—
1608C2×C4—101no—
1609C2×C4—101no—
1610C2×C4—101no—
1611C2×C4—101no—
1612C2×C4—101no—
1613C2×C4—101no—
1614C2×C4—101no—
1615C2×C4—101no—
1616C2×C4—101no—
1617C2×C4—204no—
1618C2×C4—204no—
1619C2×C4—204no—
1620C2×C4—204no—
1621C2×C4—204no—
1622C2×C4—204no—
1623C2×C4—204no—
1624C2×C4—204no—
1625C2×C4—204no—
1626C2×C4—204no—
1627C2×C4—402no—
1628C2×C4—402no—
1629C2×C4C2×D4×D512yes—
1630C2×C4C2×D4×D512yes—
1631C2×C4#414412yes—
1632C2×C4C2×#71312yes—
1633C5#3499111yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—54no—
1648C22—102no—
1649C22—102no—
1650C22—102no—
1651C22—102no—
1652C22—102no—
1653C22—102no—
1654C22—102no—
1655C22—102no—
1656C22—102no—
1657C22—102no—
1658C22—102no—
1659C22—102no—
1660C22—2016no—
1661C22—2016no—
1662C22—201no—
1663C22—201no—
1664C22—201no—
1665C22—201no—
1666C22—201no—
1667C22—201no—
1668C22—201no—
1669C22—201no—
1670C22—201no—
1671C22—201no—
1672C22—201no—
1673C22—201no—
1674C22—201no—
1675C22—201no—
1676C22—201no—
1677C22#6596114yes—
1678C22C22×D4×D511yescharacteristic
1679C22C2×#414411yescharacteristic
1680C22C22×#71311yescharacteristic
1681C22C2×D5×#4111yescharacteristic
1682C22#6628311yescharacteristic
1683C22D5×H(5,𝔽2)11yescharacteristic
1684C22D5×2−1+411yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—102no—
1699C4—102no—
1700C4—102no—
1701C4—201no—
1702C4—201no—
1703C4—201no—
1704C4—201no—
1705C4—201no—
1706C4—201no—
1707C4—201no—
1708C4—201no—
1709C4—201no—
1710C2—24no—
1711C2—42no—
1712C2—104no—
1713C2—202no—
1714C2—202no—
1715C2—401no—
1716C2C2×#6596111yescharacteristic
1717C2#1061793711yescharacteristic
1718C2D5×#53911yescharacteristic
1719C2#1061852111yescharacteristic
1720C2#1061857811yescharacteristic
1721C2#1061865211yescharacteristic
1722C2#1061883011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2449C2
prime radical#10606619C2
hypercenter#2449D5
hypocenterC5#34991
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#65979C2semidirect
2. C2×C4×D4×D5C2semidirect
3. C5×#2449C2semidirect
4. #10614565C2semidirect
5. #10614549C2semidirect
6. #10614547C2semidirect
7. #10614086C2semidirect
8. #10613926C2semidirect
9. C2×#65278C2semidirect
10. #10609832C2semidirect
11. #10609782C2semidirect
12. #10609552C2semidirect
13. #10609489C2semidirect
14. #10609066C2semidirect
15. #10609034C2semidirect
16. #10608983C2semidirect
17. #10608937C2semidirect
18. #10608016C2semidirect
19. #10607957C2semidirect
20. #10607177C2semidirect
21. #10606731C2semidirect
23. #10606417C2semidirect
24. #10606397C2semidirect
25. #10606395C2semidirect
26. #10606387C2semidirect
27. #10606161C2semidirect
28. #10606139C2semidirect
29. #10606137C2semidirect
30. #10606114C2semidirect
31. #10606110C2semidirect
35. C2×C5×C22⋊Q8C22semidirect
36. C2×C5×C22⋊Q8C22semidirect
38. C22×C5×C4⋊C4C22semidirect
40. C2×#4092C22semidirect
41. C2×#4092C22semidirect
50. C22×#683C22semidirect
53. C2×#4044C22semidirect
54. C2×#4044C22semidirect
55. C2×#4040C22semidirect
56. C2×#4040C22semidirect
57. C2×#4040C22semidirect
60. C2×#4039C22semidirect
62. C2×#4036C22semidirect
63. C2×#4036C22semidirect
65. C2×#4032C22semidirect
70. C2×#4027C22semidirect
75. C5×#399C22semidirect
76. C5×#398C22semidirect
77. C5×#396C22semidirect
78. C5×#395C22semidirect
79. C5×#389C22semidirect
80. C5×#387C22semidirect
83. C5×#385C22semidirect
84. C5×#385C22semidirect
85. C5×#385C22semidirect
86. #65520C22semidirect
88. #65502C22semidirect
89. #65502C22semidirect
90. #65502C22semidirect
91. #65501C22semidirect
92. #65499C22semidirect
93. C2×#3963C22semidirect
94. C2×#3963C22semidirect
95. #65283C22semidirect
96. #65283C22semidirect
97. #65283C22semidirect
98. #65282C22semidirect
99. #65282C22semidirect
100. #65281C22semidirect
101. #65281C22semidirect
102. #65280C22semidirect
103. #65280C22semidirect
104. #65280C22semidirect
105. #65279C22semidirect
106. #65279C22semidirect
114. #65278C22semidirect
115. #65278C22semidirect
116. #65278C22semidirect
117. #65278C22semidirect
118. #65278C22semidirect
119. #65278C22semidirect
120. #65278C22semidirect
124. #65276C22semidirect
125. #65273C22semidirect
126. #65273C22semidirect
127. #65272C22semidirect
128. #65270C22semidirect
129. #65270C22semidirect
130. #65267C22semidirect
131. #65266C22semidirect
135. #65250C22semidirect
138. #65247C22semidirect
139. #65245C22semidirect
144. #65242C22semidirect
145. #65239C22semidirect
146. #65235C22semidirect
147. #65235C22semidirect
148. #65235C22semidirect
149. #65234C22semidirect
150. #65233C22semidirect
151. #65233C22semidirect
152. #65232C22semidirect
153. #65231C22semidirect
154. C22⋊C4×Dic5C22semidirect
155. #65229C22semidirect
156. #65217C22semidirect
157. #64964C22semidirect
158. #64963C22semidirect
159. #64963C22semidirect
164. #64959C22semidirect
165. #64958C22semidirect
169. #64957C22semidirect
171. #64955C22semidirect
176. #64954C22semidirect
177. #64953C22semidirect
178. #64953C22semidirect
179. #64949C22semidirect
180. #64944C22semidirect
181. #64944C22semidirect
182. #64944C22semidirect
183. #64941C22semidirect
184. #64941C22semidirect
185. #64941C22semidirect
186. #64940C22semidirect
187. #64936C22semidirect
188. #64936C22semidirect
351. #4027D4semidirect
409. #2449D5semidirect
661. C2×C22⋊Q8C2×D5semidirect
662. C2×C22⋊Q8C2×D5semidirect
681. C22×C4⋊C4C2×D5semidirect
690. #399C2×D5semidirect
694. #398C2×D5semidirect
704. #396C2×D5semidirect
705. #395C2×D5semidirect
722. #389C2×D5semidirect
740. #387C2×D5semidirect
778. #385C2×D5semidirect
779. #385C2×D5semidirect
780. #385C2×D5semidirect
1213. C2×D5#539semidirect
1633. C5#34991semidirect

Maximal subgroups

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

subgroupindex
C2×#659792
C2×C4×D4×D52
C5×#24492
#106145652
#106145492
#106145472
#106140862
#106139262
C2×#652782
#106098322
#106097822
#106095522
#106094892
#106090662
#106090342
#106089832
#106089372
#106080162
#106079572
#106071772
#106067312
#106066192
#106064172
#106063972
#106063952
#106063872
#106061612
#106061392
#106061372
#106061142
#106061102
#349915