Finite Group Databasebeta

← #12272006

Subgroups — #12272006

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
1C22×C4×C22⋊D5C211yesmaximal, characteristic, complemented
2C2×#65972C211yesmaximal, characteristic, complemented
3C5×#2848C211yesmaximal, characteristic, complemented
4#10615764C211yesmaximal, characteristic, complemented
5#10614554C211yesmaximal, characteristic, complemented
6#10614549C211yesmaximal, characteristic, complemented
7#10614548C211yesmaximal, characteristic, complemented
8#10614547C211yesmaximal, characteristic, complemented
9#10614495C211yesmaximal, characteristic, complemented
10#10606354C211yesmaximal, characteristic, complemented
11#10606342C211yesmaximal, characteristic, complemented
12#10606339C211yesmaximal, characteristic, complemented
13#10606335C211yesmaximal, characteristic, complemented
14#10606325C211yesmaximal, characteristic, complemented
15#10606324C211yesmaximal, characteristic, complemented
16D5×#385C211yesmaximal, characteristic, complemented
17#10606318C211yesmaximal, characteristic, complemented
18#10606317C211yesmaximal, characteristic, complemented
19#10606234C211yesmaximal, characteristic, complemented
20#10606166C211yesmaximal, characteristic, complemented
21#10606110C211yesmaximal, characteristic, complemented
22#10605765C211yesmaximal, characteristic, complemented
23#10605753C211yesmaximal, characteristic, complemented
24#10605749C211yesmaximal, characteristic, complemented
25#10605737C211yesmaximal, characteristic, complemented
26#10605639C211yesmaximal, characteristic, complemented
27#10605636C211yesmaximal, characteristic, complemented
28#10605585C211yesmaximal, characteristic
29#10605584C211yesmaximal, characteristic, complemented
30#10605561C211yesmaximal, characteristic, complemented
31#10605557C211yesmaximal, characteristic, complemented
32C24×C4×C5C2211yescharacteristic
33C23×C22⋊D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×C22⋊Q8C2211yescharacteristic
36C2×C5×C22⋊Q8C2211yescharacteristic, complemented
37C2×C5×C22⋊Q8C2211yescharacteristic, complemented
38C2×#4099C2211yescharacteristic
39C22×C22⋊Dic5C2211yescharacteristic
40C2×#4092C2211yescharacteristic, complemented
41C2×#4092C2211yescharacteristic, complemented
42C2×#4075C2211yescharacteristic, complemented
43C2×#4075C2211yescharacteristic, complemented
44C2×C4×C22⋊D5—28no—
45C2×C4×C22⋊D5C2211yescharacteristic
46C2×C4×C22⋊D5C2211yescharacteristic
47C2×C4×C22⋊D5C2211yescharacteristic
48C2×C4×C22⋊D5C2211yescharacteristic
49C2×C4×C22⋊D5C2211yescharacteristic
50C2×C4×C22⋊D5C2211yescharacteristic
51C2×C4×C22⋊D5C2211yescharacteristic
52C2×C4×C22⋊D5C2211yescharacteristic
53C22×#685C2211yescharacteristic
54C22×#683C2211yescharacteristic
55C22×C4×Dic5C2211yescharacteristic
56#65972—28no—
57C2×#4044C2211yescharacteristic, complemented
58C2×#4040C2211yescharacteristic, complemented
59C2×#4039C2211yescharacteristic, complemented
60C2×#4039C2211yescharacteristic, complemented
61C2×D5×C4⋊C4C2211yescharacteristic, complemented
62C2×D5×C4⋊C4C2211yescharacteristic, complemented
63C2×#4035C2211yescharacteristic, complemented
64C2×#4035C2211yescharacteristic, complemented
65C2×#4030C2211yescharacteristic
66C2×#4030C2211yescharacteristic
67C2×#4029C2211yescharacteristic
68C2×#4029C2211yescharacteristic
69C2×#4029C2211yescharacteristic, complemented
70C2×#4028C2211yescharacteristic
71C2×#4027C2211yescharacteristic
72C2×D5×C22⋊C4C2211yescharacteristic
73C2×D5×C22⋊C4C2211yescharacteristic
74C2×#4025C2211yescharacteristic, complemented
75C5×#385C2211yescharacteristic
76C5×#385C2211yescharacteristic
77C5×#385C2211yescharacteristic, complemented
78C5×#385C2211yescharacteristic, complemented
79C5×#385C2211yescharacteristic, complemented
80C5×#385C2211yescharacteristic, complemented
81C5×#380C2211yescharacteristic
82C5×#380C2211yescharacteristic, complemented
83C5×#380C2211yescharacteristic, complemented
84C5×#379C2211yescharacteristic
85C5×#379C2211yescharacteristic
86#65536C2211yescharacteristic
87#65520C2211yescharacteristic, complemented
88#65518C2211yescharacteristic, complemented
89#65502C2211yescharacteristic
90#65502C2211yescharacteristic
91#65502C2211yescharacteristic, complemented
92#65502C2211yescharacteristic, complemented
93#65500C2211yescharacteristic, complemented
94#65500C2211yescharacteristic, complemented
95#65499C2211yescharacteristic
96#65499C2211yescharacteristic
97#65499C2211yescharacteristic, complemented
98#65499C2211yescharacteristic, complemented
99#65283C2211yescharacteristic, complemented
100#65283C2211yescharacteristic, complemented
101#65283C2211yescharacteristic, complemented
102#65282C2211yescharacteristic, complemented
103#65281C2211yescharacteristic, complemented
104#65281C2211yescharacteristic, complemented
105#65280C2211yescharacteristic, complemented
106#65279C2211yescharacteristic, complemented
107#65278C2211yescharacteristic, complemented
108#65278C2211yescharacteristic, complemented
109#65278C2211yescharacteristic, complemented
110#65278C2211yescharacteristic, complemented
111#65278C2211yescharacteristic, complemented
112#65278C2211yescharacteristic, complemented
113#65278C2211yescharacteristic, complemented
114#65278C2211yescharacteristic, complemented
115#65276C2211yescharacteristic, complemented
116#65273C2211yescharacteristic, complemented
117#65272C2211yescharacteristic, complemented
118#65270C2211yescharacteristic, complemented
119#65270C2211yescharacteristic, complemented
120#65269C2211yescharacteristic, complemented
121#65267C2211yescharacteristic, complemented
122#65267C2211yescharacteristic, complemented
123#65267C2211yescharacteristic, complemented
124#65267C2211yescharacteristic, complemented
125#65262C2211yescharacteristic, complemented
126#65261C2211yescharacteristic, complemented
127#65250C2211yescharacteristic
128#65250C2211yescharacteristic
129#65250C2211yescharacteristic, complemented
130#65249C2211yescharacteristic
131#65249C2211yescharacteristic
132#65248C2211yescharacteristic
133#65248C2211yescharacteristic
134#65248C2211yescharacteristic
135#65248C2211yescharacteristic
136#65248C2211yescharacteristic, complemented
137#65247C2211yescharacteristic
138#65247C2211yescharacteristic
139#65245C2211yescharacteristic
140#65245C2211yescharacteristic
141#65245C2211yescharacteristic
142#65245C2211yescharacteristic
143#65245C2211yescharacteristic, complemented
144#65244C2211yescharacteristic
145#65242C2211yescharacteristic, complemented
146#65241C2211yescharacteristic, complemented
147#65241C2211yescharacteristic, complemented
148#65241C2211yescharacteristic, complemented
149#65240C2211yescharacteristic, complemented
150#65240C2211yescharacteristic, complemented
151#65239C2211yescharacteristic
152#65239C2211yescharacteristic
153#65239C2211yescharacteristic
154#65238C2211yescharacteristic, complemented
155#65237C2211yescharacteristic, complemented
156#65235C2211yescharacteristic
157#65235C2211yescharacteristic
158#65235C2211yescharacteristic
159#65234C2211yescharacteristic, complemented
160#65234C2211yescharacteristic, complemented
161#65233C2211yescharacteristic, complemented
162#65231C2211yescharacteristic
163#65231C2211yescharacteristic
164C22⋊C4×Dic5C2211yescharacteristic
165#64964C2211yescharacteristic, complemented
166#64961C2211yescharacteristic, complemented
167#64959C2211yescharacteristic, complemented
168#64958C2211yescharacteristic, complemented
169#64957C2211yescharacteristic, complemented
170#64957C2211yescharacteristic, complemented
171#64955C2211yescharacteristic, complemented
172#64955C2211yescharacteristic, complemented
173#64954C2211yescharacteristic, complemented
174#64954C2211yescharacteristic, complemented
175#64954C2211yescharacteristic, complemented
176#64953C2211yescharacteristic, complemented
177D5×#95C2211yescharacteristic, complemented
178D5×#95C2211yescharacteristic, complemented
179#64947C2211yescharacteristic, complemented
180#64946C2211yescharacteristic, complemented
181#64943C2211yescharacteristic, complemented
182#64942C2211yescharacteristic, complemented
183#64941C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64940C2211yescharacteristic, complemented
186#64939C2211yescharacteristic, complemented
187#64936C2211yescharacteristic, complemented
188#64936C2211yescharacteristic, complemented
189#34991—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C22×C5×Q8C2311yescharacteristic
193C23×C4×C5—24no—
194C23×C4×C5—42no—
195C23×C4×C5—42no—
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C22×C22⋊D5—24no—
203C22×C22⋊D5—24no—
204C22×C22⋊D5—24no—
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C22×C22⋊D5C2311yescharacteristic
212C23×Dic5C2311yescharacteristic
213C23×Dic5C2311yescharacteristic
214C23×Dic5C2311yescharacteristic
215C22×D20C2311yescharacteristic
216C22×D20C2311yescharacteristic
217C22×C4×D5—24no—
218C22×C4×D5—42no—
219C22×C4×D5—42no—
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—
231C5×C22⋊Q8—42no—
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C4⋊C4C2311yescharacteristic
239C2×C5×C4⋊C4C2311yescharacteristic
240C2×C5×C4⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C5×C22⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4C2311yescharacteristic
251C2×C5×C22⋊C4C2311yescharacteristic
252C2×C5×C22⋊C4C2311yescharacteristic
253#4099—42no—
254C2×C22⋊Dic5—24no—
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261C2×C22⋊Dic5C2311yescharacteristic
262C2×C22⋊Dic5C2311yescharacteristic
263C2×C22⋊Dic5C2311yescharacteristic
264C2×C22⋊Dic5C2311yescharacteristic
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268#4092—24no—
269#4092—24no—
270#4075—24no—
271#4075—42no—
272C4×C22⋊D5—24no—
273C4×C22⋊D5—24no—
274C4×C22⋊D5—24no—
275C4×C22⋊D5—24no—
276C4×C22⋊D5—24no—
277C4×C22⋊D5—24no—
278C4×C22⋊D5—24no—
279C4×C22⋊D5D418yescomplemented
280C2×#685—24no—
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×C4⋊Dic5C2311yescharacteristic
305C2×C4⋊Dic5C2311yescharacteristic
306C2×C4⋊Dic5C2311yescharacteristic
307C2×C4⋊Dic5C2311yescharacteristic
308C2×C4⋊Dic5C2311yescharacteristic
309C2×C4⋊Dic5C2311yescharacteristic
310C2×#683—24no—
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×#683C2311yescharacteristic
321C2×#683C2311yescharacteristic
322C2×#683C2311yescharacteristic
323C2×#683C2311yescharacteristic
324C2×#683C2311yescharacteristic
325C2×#683C2311yescharacteristic
326C2×#683C2311yescharacteristic
327C2×#683C2311yescharacteristic
328C2×#683C2311yescharacteristic
329C2×#683C2311yescharacteristic
330C2×C4×Dic5—24no—
331C2×C4×Dic5C2311yescharacteristic
332C2×C4×Dic5C2311yescharacteristic
333C2×C4×Dic5C2311yescharacteristic
334C2×C4×Dic5C2311yescharacteristic
335C2×C4×Dic5C2311yescharacteristic
336C2×C4×Dic5C2311yescharacteristic
337C2×C4×Dic5C2311yescharacteristic
338#4044—24no—
339#4040—24no—
340#4039—24no—
341#4039—42no—
342D5×C4⋊C4—24no—
343D5×C4⋊C4—42no—
344#4035—24no—
345#4035—24no—
346#4030—24no—
347#4030—24no—
348#4029—24no—
349#4029—24no—
350#4029—24no—
351#4028—24no—
352#4027—42no—
353D5×C22⋊C4—24no—
354D5×C22⋊C4—42no—
355#4025—24no—
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392C2×#539—51no—
393C22×C4×D4—51no—
394#2852—51no—
395#2851—51no—
396#2849—51no—
397#2848D511yescharacteristic, complemented
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#2449—51no—
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×C5—22no—
424C24×C5—22no—
425C24×C5—22no—
426C24×C5—22no—
427C24×C5—22no—
428C24×C5—41no—
429C24×C5—41no—
430C24×C5C2411yescharacteristic
431C24×C5C2411yescharacteristic
432C24×C5C2411yescharacteristic
433C23×D5—22no—
434C23×D5—22no—
435C23×D5—22no—
436C23×D5—22no—
437C23×D5—41no—
438C23×D5—41no—
439C23×D5#4114yes—
440C23×D5C2411yescharacteristic
441C23×D5C2411yescharacteristic
442C23×D5C2411yescharacteristic
443C2×C5×Q8—22no—
444C2×C5×Q8—41no—
445C2×C5×Q8—41no—
446C22×C4×C5—22no—
447C22×C4×C5—22no—
448C22×C4×C5—22no—
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—22no—
456C22×C4×C5—41no—
457C22×C4×C5—41no—
458C22×C4×C5—41no—
459C22×C4×C5—41no—
460C22×C4×C5—41no—
461C22×C4×C5—41no—
462C22×C4×C5—41no—
463C22×C4×C5—416no—
464C22×C4×C5C2×D414yes—
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
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C22×C4×C5C2411yescharacteristic
477C2×C22⋊D5—232no—
478C2×C22⋊D5—22no—
479C2×C22⋊D5—22no—
480C2×C22⋊D5—22no—
481C2×C22⋊D5—22no—
482C2×C22⋊D5—22no—
483C2×C22⋊D5—22no—
484C2×C22⋊D5—22no—
485C2×C22⋊D5—22no—
486C2×C22⋊D5—22no—
487C2×C22⋊D5—22no—
488C2×C22⋊D5—22no—
489C2×C22⋊D5—22no—
490C2×C22⋊D5—22no—
491C2×C22⋊D5—22no—
492C2×C22⋊D5—22no—
493C2×C22⋊D5—41no—
494C2×C22⋊D5—41no—
495C2×C22⋊D5—41no—
496C2×C22⋊D5—41no—
497C2×C22⋊D5C2×D414yes—
498C2×C22⋊D5#4114yes—
499C22×Dic5—22no—
500C22×Dic5—22no—
501C22×Dic5—22no—
502C22×Dic5—22no—
503C22×Dic5—22no—
504C22×Dic5—22no—
505C22×Dic5—22no—
506C22×Dic5—41no—
507C22×Dic5—41no—
508C22×Dic5C2411yescharacteristic
509C22×Dic5C2411yescharacteristic
510C22×Dic5C2411yescharacteristic
511C22×Dic5C2411yescharacteristic
512C22×Dic5C2411yescharacteristic
513C22×Dic5C2411yescharacteristic
514C22×Dic5C2411yescharacteristic
515C22×Dic5C2411yescharacteristic
516C22×Dic5C2411yescharacteristic
517C22×Dic5C2411yescharacteristic
518C22×Dic5C2411yescharacteristic
519C22×Dic5C2411yescharacteristic
520C22×Dic5C2411yescharacteristic
521C2×D20—22no—
522C2×D20—22no—
523C2×D20—22no—
524C2×D20—22no—
525C2×D20—41no—
526C2×D20—41no—
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—41no—
540C2×C4×D5—41no—
541C2×C4×D5—41no—
542C2×C4×D5—41no—
543C2×C4×D5—41no—
544C2×C4×D5—41no—
545C2×C4×D5—41no—
546C2×C4×D5—41no—
547C2×C4×D5—416no—
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—41no—
561C5×C4⋊C4—41no—
562C5×C4⋊C4—41no—
563C5×C4⋊C4—41no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C5×C22⋊C4—22no—
567C5×C22⋊C4—22no—
568C5×C22⋊C4—22no—
569C5×C22⋊C4—22no—
570C5×C22⋊C4—22no—
571C5×C22⋊C4—22no—
572C5×C22⋊C4—41no—
573C5×C22⋊C4—41no—
574C5×C22⋊C4—41no—
575C5×C22⋊C4—41no—
576C22⋊Dic5—22no—
577C22⋊Dic5—22no—
578C22⋊Dic5—22no—
579C22⋊Dic5—22no—
580C22⋊Dic5—22no—
581C22⋊Dic5—22no—
582C22⋊Dic5—22no—
583C22⋊Dic5—22no—
584C22⋊Dic5—41no—
585C22⋊Dic5—41no—
586C22⋊Dic5—41no—
587C22⋊Dic5—41no—
588C22⋊Dic5C2×D414yes—
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#685C2×D414yes—
612C4⋊Dic5—22no—
613C4⋊Dic5—22no—
614C4⋊Dic5—22no—
615C4⋊Dic5—22no—
616C4⋊Dic5—41no—
617C4⋊Dic5—41no—
618#683—22no—
619#683—22no—
620#683—22no—
621#683—22no—
622#683—22no—
623#683—22no—
624#683—22no—
625#683—22no—
626#683—22no—
627#683—22no—
628#683—22no—
629#683—22no—
630#683—22no—
631#683—41no—
632#683—41no—
633#683—41no—
634#683—41no—
635#683—41no—
636#683C2×D414yes—
637C4×Dic5—22no—
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×C4C2×D511yescharacteristic
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⋊Q8C2×D511yescharacteristic
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—51no—
678C2×C4×D4—108no—
679C22×C4⋊C4—51no—
680C22×C4⋊C4—51no—
681C22×C4⋊C4—51no—
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#399—51no—
691#398—51no—
692#398—51no—
693#398—51no—
694#398—51no—
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#396—51no—
705#395—51no—
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#389—51no—
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388—51no—
730#388—51no—
731#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#387—51no—
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#386—51no—
754#386—51no—
755#385—51no—
756#385—51no—
757#385—51no—
758#385—51no—
759#385—51no—
760#385—51no—
761#385—51no—
762#385—51no—
763#385—51no—
764#385—51no—
765#385—51no—
766#385—51no—
767#385—51no—
768#385—51no—
769#385—51no—
770#385—51no—
771#385—51no—
772#385—51no—
773#385—51no—
774#385—51no—
775#385C2×D511yescharacteristic
776#385C2×D511yescharacteristic
777#385C2×D511yescharacteristic, complemented
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#380C2×D511yescharacteristic
790#380C2×D511yescharacteristic, complemented
791#380C2×D511yescharacteristic, complemented
792#379—51no—
793#379—51no—
794#379C2×D511yescharacteristic
795#379C2×D511yescharacteristic
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—28no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—21no—
810C23×C5—21no—
811C23×C5—21no—
812C23×C5—21no—
813C23×C5—21no—
814C23×C5—21no—
815C23×C5—21no—
816C23×C5—21no—
817C23×C5—21no—
818C23×C5—44no—
819C23×C5—44no—
820C23×C5—44no—
821C23×C5—44no—
822C23×C5—44no—
823C23×C5—44no—
824C23×C5C22×D412yes—
825C23×C5C2×#4112yes—
826C23×C5C2×#4112yes—
827C23×C5H(5,𝔽2)12yes—
828C23×C52−1+412yes—
829C23×C5C2511yescharacteristic
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—28no—
842C22×D5—21no—
843C22×D5—21no—
844C22×D5—21no—
845C22×D5—21no—
846C22×D5—21no—
847C22×D5—21no—
848C22×D5—21no—
849C22×D5—44no—
850C22×D5—44no—
851C22×D5—44no—
852C22×D5—44no—
853C22×D5—44no—
854C22×D5C22×D412yes—
855C22×D5C2×#4112yes—
856C22×D5C2×#4112yes—
857C22×D5C2×#4112yes—
858C5×Q8—82no—
859C2×C4×C5—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—44no—
894C2×C4×C5—44no—
895C2×C4×C5—44no—
896C2×C4×C5—44no—
897C2×C4×C5—44no—
898C2×C4×C5C22×D412yes—
899C2×C4×C5C22×D412yes—
900C2×C4×C5H(5,𝔽2)12yes—
901C22⋊D5—28no—
902C22⋊D5—28no—
903C22⋊D5—28no—
904C22⋊D5—28no—
905C22⋊D5—44no—
906C22⋊D5—82no—
907C22⋊D5—82no—
908C2×Dic5—28no—
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—21no—
941C2×Dic5—21no—
942C2×Dic5—21no—
943C2×Dic5—21no—
944C2×Dic5—44no—
945C2×Dic5—44no—
946C2×Dic5C22×D412yes—
947C2×Dic5C22×D412yes—
948C2×Dic5C22×D412yes—
949C2×Dic5C2×#4112yes—
950D20—44no—
951D20—44no—
952C4×D5—44no—
953C4×D5—44no—
954C4×D5—44no—
955C4×D5—44no—
956C4×D5—44no—
957C4×D5—44no—
958C4×D5—82no—
959C4×D5—82no—
960C4×D5—82no—
961C25—51no—
962C25C22×D511yescharacteristic
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—51no—
973C22×D4—104no—
974C22×D4—104no—
975C22×D4—104no—
976C23×C4—24no—
977C23×C4—42no—
978C23×C4—42no—
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—51no—
991C23×C4—104no—
992C23×C4—202no—
993C23×C4—202no—
994C23×C4C22×D511yescharacteristic
995C23×C4C22×D511yescharacteristic
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—42no—
1013C22⋊Q8—104no—
1014C22⋊Q8—104no—
1015#121—104no—
1016#121—104no—
1017#120—104no—
1018#120—202no—
1019C4×D4—58no—
1020C4×D4—104no—
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—51no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—51no—
1033C2×C4⋊C4—51no—
1034C2×C4⋊C4—51no—
1035C2×C4⋊C4—51no—
1036C2×C4⋊C4—51no—
1037C2×C4⋊C4—51no—
1038C2×C4⋊C4—51no—
1039C2×C4⋊C4—51no—
1040C2×C4⋊C4—51no—
1041C2×C4⋊C4—51no—
1042C2×C4⋊C4—51no—
1043C2×C4⋊C4—51no—
1044C2×C4⋊C4—51no—
1045C2×C4⋊C4—51no—
1046C2×C4⋊C4—51no—
1047C2×C4⋊C4—51no—
1048C2×C4⋊C4—51no—
1049C2×C4⋊C4—51no—
1050C2×C4⋊C4—51no—
1051C2×C4⋊C4—51no—
1052C2×C4⋊C4—51no—
1053C2×C4⋊C4—51no—
1054C2×C4⋊C4—51no—
1055C2×C4⋊C4—104no—
1056C2×C4⋊C4—104no—
1057C2×C4⋊C4—202no—
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—104no—
1104C2×C22⋊C4—104no—
1105C2×C22⋊C4—104no—
1106C2×C22⋊C4—202no—
1107C2×C22⋊C4C22×D511yescharacteristic
1108C2×C22⋊C4C22×D511yescharacteristic
1109C2×C22⋊C4C22×D511yescharacteristic
1110C2×C22⋊C4C22×D511yescharacteristic
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—51no—
1126C2×C42—104no—
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#95—51no—
1156#95—51no—
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—22no—
1173C22×C5—22no—
1174C22×C5—22no—
1175C22×C5—416no—
1176C22×C5—41no—
1177C22×C5—41no—
1178C22×C5—41no—
1179C22×C5—41no—
1180C22×C5—41no—
1181C22×C5—41no—
1182C22×C5—41no—
1183C22×C5—41no—
1184C22×C5#53914yescomplemented
1185C22×C5C23×D411yescharacteristic
1186C22×C5C22×#4111yescharacteristic
1187C22×C5C22×#4111yescharacteristic
1188C22×C5C2×H(5,𝔽2)11yescharacteristic
1189C22×C5C2×H(5,𝔽2)11yescharacteristic
1190C22×C5C2×2−1+411yescharacteristic
1191C22×C5#58511yescharacteristic
1192C2×D5—22no—
1193C2×D5—22no—
1194C2×D5—22no—
1195C2×D5—22no—
1196C2×D5—22no—
1197C2×D5—22no—
1198C2×D5—22no—
1199C2×D5—22no—
1200C2×D5—22no—
1201C2×D5—416no—
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#52514yes—
1214C4×C5—22no—
1215C4×C5—22no—
1216C4×C5—22no—
1217C4×C5—41no—
1218C4×C5—41no—
1219C4×C5—41no—
1220C4×C5—41no—
1221C4×C5—41no—
1222C4×C5—41no—
1223C4×C5—41no—
1224C4×C5—41no—
1225C4×C5—41no—
1226Dic5—22no—
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—22no—
1240C24—22no—
1241C24—22no—
1242C24—22no—
1243C24—22no—
1244C24—41no—
1245C24—41no—
1246C24—51no—
1247C24—51no—
1248C24—54no—
1249C24—51no—
1250C24—102no—
1251C24—102no—
1252C24—102no—
1253C24—102no—
1254C24—201no—
1255C24—201no—
1256C24C23×D511yescharacteristic
1257C24C23×D511yescharacteristic
1258C24C23×D511yescharacteristic
1259C2×Q8—22no—
1260C2×Q8—41no—
1261C2×Q8—41no—
1262C2×D4—54no—
1263C2×D4—54no—
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—1032no—
1277C2×D4—102no—
1278C2×D4—102no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—102no—
1282C2×D4—102no—
1283C2×D4—102no—
1284C2×D4—201no—
1285C2×D4—201no—
1286C2×D4—201no—
1287C2×D4—201no—
1288C2×D4—201no—
1289C2×D4—201no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—416no—
1308C22×C4—51no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—51no—
1312C22×C4—54no—
1313C22×C4—51no—
1314C22×C4—51no—
1315C22×C4—51no—
1316C22×C4—51no—
1317C22×C4—51no—
1318C22×C4—51no—
1319C22×C4—51no—
1320C22×C4—51no—
1321C22×C4—51no—
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—102no—
1340C22×C4—102no—
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—201no—
1351C22×C4—201no—
1352C22×C4—201no—
1353C22×C4—201no—
1354C22×C4—201no—
1355C22×C4—2016no—
1356C22×C4—201no—
1357C22×C4—201no—
1358C22×C4D4×D514yes—
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—41no—
1377C4⋊C4—41no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—54no—
1381C4⋊C4—102no—
1382C4⋊C4—102no—
1383C4⋊C4—102no—
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—201no—
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—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—54no—
1418C22⋊C4—54no—
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—102no—
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⋊C4—201no—
1453C42—54no—
1454C42—102no—
1455C42—102no—
1456C42—102no—
1457C42—102no—
1458C42—201no—
1459C42—201no—
1460C2×C5—24no—
1461C2×C5—42no—
1462C2×C5—42no—
1463C2×C5C2×#52511yescharacteristic
1464C2×C5C2×#53911yescharacteristic
1465C2×C5#345911yescharacteristic
1466C2×C5#348411yescharacteristic
1467C2×C5#348911yescharacteristic
1468C2×C5#351311yescharacteristic
1469C2×C5#352011yescharacteristic
1470D5—24no—
1471D5—42no—
1472D5—81no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—28no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—52no—
1497C23—52no—
1498C23—52no—
1499C23—52no—
1500C23—108no—
1501C23—101no—
1502C23—101no—
1503C23—101no—
1504C23—101no—
1505C23—108no—
1506C23—101no—
1507C23—101no—
1508C23—101no—
1509C23—101no—
1510C23—101no—
1511C23—101no—
1512C23—101no—
1513C23—101no—
1514C23—101no—
1515C23—101no—
1516C23—101no—
1517C23—101no—
1518C23—101no—
1519C23—204no—
1520C23—204no—
1521C23—204no—
1522C23—204no—
1523C23—204no—
1524C23C2×D4×D512yes—
1525C23#414412yes—
1526C23#414712yes—
1527C23D5×#4112yes—
1528C23D5×#4112yes—
1529C23C24×D511yescharacteristic
1530Q8—82no—
1531D4—108no—
1532D4—108no—
1533D4—108no—
1534D4—108no—
1535D4—204no—
1536D4—204no—
1537D4—204no—
1538D4—402no—
1539D4—402no—
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—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—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—52no—
1580C2×C4—52no—
1581C2×C4—52no—
1582C2×C4—52no—
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—101no—
1618C2×C4—101no—
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×C4—402no—
1630C2×C4C2×D4×D512yes—
1631C2×C4C2×D4×D512yes—
1632C2×C4#414412yes—
1633C5#3499111yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—416no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—54no—
1656C22—102no—
1657C22—102no—
1658C22—102no—
1659C22—102no—
1660C22—102no—
1661C22—102no—
1662C22—102no—
1663C22—102no—
1664C22—102no—
1665C22—2016no—
1666C22—201no—
1667C22—201no—
1668C22—201no—
1669C22—201no—
1670C22—201no—
1671C22—201no—
1672C22—201no—
1673C22—201no—
1674C22—201no—
1675C22—201no—
1676C22—201no—
1677C22#6597214yescomplemented
1678C22C22×D4×D511yescharacteristic
1679C22C2×#414411yescharacteristic
1680C22C2×#414411yescharacteristic
1681C22C2×#414711yescharacteristic
1682C22C2×D5×#4111yescharacteristic
1683C22C2×D5×#4111yescharacteristic
1684C22#6628311yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—102no—
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—42no—
1713C2—104no—
1714C2—202no—
1715C2—401no—
1716C2#1061782011yescharacteristic
1717C2C2×#6597211yescharacteristic
1718C2#1061788611yescharacteristic
1719C2#1061788811yescharacteristic
1720C2D5×#52511yescharacteristic
1721C2#1061793711yescharacteristic
1722C2#1061794611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2848C2
prime radical#10605585C2
hypercenter#2848D5
hypocenterC5#34991
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. C22×C4×C22⋊D5C2semidirect
2. C2×#65972C2semidirect
3. C5×#2848C2semidirect
4. #10615764C2semidirect
5. #10614554C2semidirect
6. #10614549C2semidirect
7. #10614548C2semidirect
8. #10614547C2semidirect
9. #10614495C2semidirect
10. #10606354C2semidirect
11. #10606342C2semidirect
12. #10606339C2semidirect
13. #10606335C2semidirect
14. #10606325C2semidirect
15. #10606324C2semidirect
16. D5×#385C2semidirect
17. #10606318C2semidirect
18. #10606317C2semidirect
19. #10606234C2semidirect
20. #10606166C2semidirect
21. #10606110C2semidirect
22. #10605765C2semidirect
23. #10605753C2semidirect
24. #10605749C2semidirect
25. #10605737C2semidirect
26. #10605639C2semidirect
27. #10605636C2semidirect
29. #10605584C2semidirect
30. #10605561C2semidirect
31. #10605557C2semidirect
36. C2×C5×C22⋊Q8C22semidirect
37. C2×C5×C22⋊Q8C22semidirect
40. C2×#4092C22semidirect
41. C2×#4092C22semidirect
42. C2×#4075C22semidirect
43. C2×#4075C22semidirect
57. C2×#4044C22semidirect
58. C2×#4040C22semidirect
59. C2×#4039C22semidirect
60. C2×#4039C22semidirect
61. C2×D5×C4⋊C4C22semidirect
62. C2×D5×C4⋊C4C22semidirect
63. C2×#4035C22semidirect
64. C2×#4035C22semidirect
69. C2×#4029C22semidirect
74. C2×#4025C22semidirect
77. C5×#385C22semidirect
78. C5×#385C22semidirect
79. C5×#385C22semidirect
80. C5×#385C22semidirect
82. C5×#380C22semidirect
83. C5×#380C22semidirect
87. #65520C22semidirect
88. #65518C22semidirect
91. #65502C22semidirect
92. #65502C22semidirect
93. #65500C22semidirect
94. #65500C22semidirect
97. #65499C22semidirect
98. #65499C22semidirect
99. #65283C22semidirect
100. #65283C22semidirect
101. #65283C22semidirect
102. #65282C22semidirect
103. #65281C22semidirect
104. #65281C22semidirect
105. #65280C22semidirect
106. #65279C22semidirect
107. #65278C22semidirect
108. #65278C22semidirect
109. #65278C22semidirect
110. #65278C22semidirect
111. #65278C22semidirect
112. #65278C22semidirect
113. #65278C22semidirect
114. #65278C22semidirect
115. #65276C22semidirect
116. #65273C22semidirect
117. #65272C22semidirect
118. #65270C22semidirect
119. #65270C22semidirect
120. #65269C22semidirect
121. #65267C22semidirect
122. #65267C22semidirect
123. #65267C22semidirect
124. #65267C22semidirect
125. #65262C22semidirect
126. #65261C22semidirect
129. #65250C22semidirect
136. #65248C22semidirect
143. #65245C22semidirect
145. #65242C22semidirect
146. #65241C22semidirect
147. #65241C22semidirect
148. #65241C22semidirect
149. #65240C22semidirect
150. #65240C22semidirect
154. #65238C22semidirect
155. #65237C22semidirect
159. #65234C22semidirect
160. #65234C22semidirect
161. #65233C22semidirect
165. #64964C22semidirect
166. #64961C22semidirect
167. #64959C22semidirect
168. #64958C22semidirect
169. #64957C22semidirect
170. #64957C22semidirect
171. #64955C22semidirect
172. #64955C22semidirect
173. #64954C22semidirect
174. #64954C22semidirect
175. #64954C22semidirect
176. #64953C22semidirect
177. D5×#95C22semidirect
178. D5×#95C22semidirect
179. #64947C22semidirect
180. #64946C22semidirect
181. #64943C22semidirect
182. #64942C22semidirect
183. #64941C22semidirect
184. #64941C22semidirect
185. #64940C22semidirect
186. #64939C22semidirect
187. #64936C22semidirect
188. #64936C22semidirect
279. C4×C22⋊D5D4semidirect
397. #2848D5semidirect
661. C2×C22⋊Q8C2×D5semidirect
662. C2×C22⋊Q8C2×D5semidirect
777. #385C2×D5semidirect
778. #385C2×D5semidirect
779. #385C2×D5semidirect
780. #385C2×D5semidirect
790. #380C2×D5semidirect
791. #380C2×D5semidirect
1184. C22×C5#539semidirect
1633. C5#34991semidirect
1677. C22#65972semidirect

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D52
C2×#659722
C5×#28482
#106157642
#106145542
#106145492
#106145482
#106145472
#106144952
#106063542
#106063422
#106063392
#106063352
#106063252
#106063242
D5×#3852
#106063182
#106063172
#106062342
#106061662
#106061102
#106057652
#106057532
#106057492
#106057372
#106056392
#106056362
#106055852
#106055842
#106055612
#106055572
#349915