Finite Group Databasebeta

← #12271992

Subgroups — #12271992

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×#65849C211yesmaximal, characteristic, complemented
3C2×C5×#385C211yesmaximal, characteristic, complemented
4C4×#4099C211yesmaximal, characteristic, complemented
5#10613926C211yesmaximal, characteristic, complemented
6#10613904C211yesmaximal, characteristic, complemented
7#10613889C211yesmaximal, characteristic, complemented
8#10613858C211yesmaximal, characteristic
9#10613857C211yesmaximal, characteristic, complemented
10#10613841C211yesmaximal, characteristic, complemented
11#10613838C211yesmaximal, characteristic, complemented
12#10606387C211yesmaximal, characteristic, complemented
13#10606386C211yesmaximal, characteristic, complemented
14#10606355C211yesmaximal, characteristic, complemented
15#10606354C211yesmaximal, characteristic, complemented
16#10606353C211yesmaximal, characteristic, complemented
17#10606344C211yesmaximal, characteristic, complemented
18#10606343C211yesmaximal, characteristic, complemented
19#10606334C211yesmaximal, characteristic, complemented
20#10606318C211yesmaximal, characteristic, complemented
21#10606317C211yesmaximal, characteristic, complemented
22#10606234C211yesmaximal, characteristic, complemented
23#10606183C211yesmaximal, characteristic, complemented
24#10606171C211yesmaximal, characteristic, complemented
25#10606165C211yesmaximal, characteristic, complemented
26#10606160C211yesmaximal, characteristic, complemented
27#10606152C211yesmaximal, characteristic, complemented
28#10605106C211yesmaximal, characteristic, complemented
29#10605098C211yesmaximal, characteristic, complemented
30#10605080C211yesmaximal, characteristic, complemented
31#10605064C211yesmaximal, characteristic, complemented
32C24×C4×C5C2211yescharacteristic
33C23×C22⋊D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C22×C5×C4⋊C4C2211yescharacteristic, complemented
36C22×C5×C4⋊C4C2211yescharacteristic, complemented
37C22×C5×C22⋊C4C2211yescharacteristic
38C22×C5×C22⋊C4C2211yescharacteristic
39C2×#4099C2211yescharacteristic
40C22×C22⋊Dic5C2211yescharacteristic
41C2×#4076C2211yescharacteristic
42C2×#4076C2211yescharacteristic
43C2×#4075C2211yescharacteristic
44C2×#4075C2211yescharacteristic
45C2×#4075C2211yescharacteristic, complemented
46C2×C4×C22⋊D5—28no—
47C2×C4×C22⋊D5C2211yescharacteristic
48C2×C4×C22⋊D5C2211yescharacteristic
49C2×C4×C22⋊D5C2211yescharacteristic
50C2×C4×C22⋊D5C2211yescharacteristic
51C2×C4×C22⋊D5C2211yescharacteristic
52C2×C4×C22⋊D5C2211yescharacteristic
53C2×C4×C22⋊D5C2211yescharacteristic
54C2×C4×C22⋊D5C2211yescharacteristic
55C2×C4×C22⋊D5C2211yescharacteristic
56C2×C4×C22⋊D5C2211yescharacteristic, complemented
57C2×C4×C22⋊D5C2211yescharacteristic, complemented
58C22×#685C2211yescharacteristic
59C2×#4070C2211yescharacteristic, complemented
60C22×#683C2211yescharacteristic
61C22×C4×Dic5C2211yescharacteristic
62#65849—28no—
63C2×#4044C2211yescharacteristic, complemented
64C2×#4044C2211yescharacteristic, complemented
65C2×#4042C2211yescharacteristic, complemented
66C2×#4042C2211yescharacteristic, complemented
67C2×#4042C2211yescharacteristic, complemented
68C2×#4040C2211yescharacteristic, complemented
69C2×#4040C2211yescharacteristic, complemented
70C2×#4040C2211yescharacteristic, complemented
71C2×#4035C2211yescharacteristic, complemented
72C2×#4035C2211yescharacteristic, complemented
73C2×#4028C2211yescharacteristic
74C2×#4024C2211yescharacteristic
75C5×#385C2211yescharacteristic
76C5×#385C2211yescharacteristic
77C5×#385C2211yescharacteristic
78C5×#385C2211yescharacteristic
79C5×#385C2211yescharacteristic, complemented
80C5×#385C2211yescharacteristic, complemented
81C5×#385C2211yescharacteristic, complemented
82C5×#385C2211yescharacteristic, complemented
83C2×C5×#95C2211yescharacteristic, complemented
84C2×C5×#95C2211yescharacteristic, complemented
85#65536C2211yescharacteristic
86#65502C2211yescharacteristic
87#65502C2211yescharacteristic
88#65502C2211yescharacteristic
89#65502C2211yescharacteristic
90#65502C2211yescharacteristic
91#65502C2211yescharacteristic, complemented
92#65502C2211yescharacteristic, complemented
93#65502C2211yescharacteristic, complemented
94#65501C2211yescharacteristic, complemented
95#65500C2211yescharacteristic, complemented
96#65499C2211yescharacteristic
97#65499C2211yescharacteristic, complemented
98#65499C2211yescharacteristic, complemented
99#65499C2211yescharacteristic, complemented
100#65499C2211yescharacteristic, complemented
101#65499C2211yescharacteristic, complemented
102C4×C22⋊Dic5C2211yescharacteristic
103C4×C22⋊Dic5C2211yescharacteristic, complemented
104C4×C22⋊Dic5C2211yescharacteristic, complemented
105#65283C2211yescharacteristic, complemented
106#65282C2211yescharacteristic, complemented
107#65281C2211yescharacteristic, complemented
108#65281C2211yescharacteristic, complemented
109#65280C2211yescharacteristic, complemented
110#65279C2211yescharacteristic, complemented
111#65279C2211yescharacteristic, complemented
112#65279C2211yescharacteristic, complemented
113#65278C2211yescharacteristic, complemented
114#65278C2211yescharacteristic, complemented
115#65278C2211yescharacteristic, complemented
116#65278C2211yescharacteristic, complemented
117#65273C2211yescharacteristic, complemented
118#65270C2211yescharacteristic, complemented
119#65270C2211yescharacteristic, complemented
120#65269C2211yescharacteristic, complemented
121#65268C2211yescharacteristic, complemented
122#65267C2211yescharacteristic, complemented
123#65267C2211yescharacteristic, complemented
124#65261C2211yescharacteristic, complemented
125#65261C2211yescharacteristic, complemented
126#65261C2211yescharacteristic, complemented
127#65250C2211yescharacteristic
128#65250C2211yescharacteristic
129#65249C2211yescharacteristic
130#65249C2211yescharacteristic
131#65248C2211yescharacteristic
132#65248C2211yescharacteristic
133#65248C2211yescharacteristic
134#65248C2211yescharacteristic
135#65248C2211yescharacteristic, complemented
136#65248C2211yescharacteristic, complemented
137#65247C2211yescharacteristic
138#65247C2211yescharacteristic
139#65247C2211yescharacteristic
140#65244C2211yescharacteristic
141#65244C2211yescharacteristic
142#65244C2211yescharacteristic
143#65241C2211yescharacteristic, complemented
144#65241C2211yescharacteristic, complemented
145#65239C2211yescharacteristic
146#65239C2211yescharacteristic
147#65238C2211yescharacteristic, complemented
148#65237C2211yescharacteristic, complemented
149#65237C2211yescharacteristic, complemented
150#65236C2211yescharacteristic, complemented
151#65235C2211yescharacteristic
152#65235C2211yescharacteristic
153#65235C2211yescharacteristic
154#65231C2211yescharacteristic
155#65231C2211yescharacteristic
156#65231C2211yescharacteristic
157#64965C2211yescharacteristic, complemented
158#64964C2211yescharacteristic, complemented
159#64964C2211yescharacteristic, complemented
160#64963C2211yescharacteristic, complemented
161#64961C2211yescharacteristic, complemented
162#64959C2211yescharacteristic, complemented
163#64959C2211yescharacteristic, complemented
164#64958C2211yescharacteristic, complemented
165#64958C2211yescharacteristic, complemented
166#64958C2211yescharacteristic, complemented
167#64957C2211yescharacteristic, complemented
168#64957C2211yescharacteristic, complemented
169#64957C2211yescharacteristic, complemented
170#64956C2211yescharacteristic, complemented
171#64956C2211yescharacteristic, complemented
172#64954C2211yescharacteristic, complemented
173#64954C2211yescharacteristic, complemented
174#64954C2211yescharacteristic, complemented
175#64953C2211yescharacteristic, complemented
176#64953C2211yescharacteristic, complemented
177#64947C2211yescharacteristic, complemented
178#64946C2211yescharacteristic, complemented
179#64946C2211yescharacteristic, complemented
180#64943C2211yescharacteristic, complemented
181#64942C2211yescharacteristic, complemented
182#64942C2211yescharacteristic, complemented
183#64941C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64941C2211yescharacteristic, complemented
186#64940C2211yescharacteristic, complemented
187#64939C2211yescharacteristic, complemented
188#64936C2211yescharacteristic, complemented
189#34991—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C23×C4×C5—24no—
193C23×C4×C5—42no—
194C23×C4×C5—42no—
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C23×C4×C5C2311yescharacteristic
204C23×C4×C5C2311yescharacteristic
205C22×C22⋊D5—24no—
206C22×C22⋊D5—24no—
207C22×C22⋊D5—24no—
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C22×C22⋊D5C2311yescharacteristic
212C22×C22⋊D5C2311yescharacteristic
213C22×C22⋊D5C2311yescharacteristic
214C22×C22⋊D5C2311yescharacteristic
215C23×Dic5C2311yescharacteristic
216C23×Dic5C2311yescharacteristic
217C23×Dic5C2311yescharacteristic
218C22×D20C2311yescharacteristic
219C22×D20C2311yescharacteristic
220C22×C4×D5—24no—
221C22×C4×D5—42no—
222C22×C4×D5—42no—
223C22×C4×D5C2311yescharacteristic
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×C4×D5C2311yescharacteristic
227C22×C4×D5C2311yescharacteristic
228C22×Dic10C2311yescharacteristic
229C2×C5×C4⋊C4—24no—
230C2×C5×C4⋊C4—42no—
231C2×C5×C4⋊C4C2311yescharacteristic
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C4⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4—24no—
240C2×C5×C22⋊C4—42no—
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
249#4099—24no—
250C2×C22⋊Dic5—24no—
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
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
264#4076—24no—
265#4076—24no—
266#4075—24no—
267#4075—24no—
268#4075—24no—
269C4×C22⋊D5—24no—
270C4×C22⋊D5—24no—
271C4×C22⋊D5—24no—
272C4×C22⋊D5—24no—
273C4×C22⋊D5—24no—
274C4×C22⋊D5—24no—
275C4×C22⋊D5—24no—
276C4×C22⋊D5—24no—
277C4×C22⋊D5—42no—
278C4×C22⋊D5—42no—
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×#685C2311yescharacteristic
305C2×#685C2311yescharacteristic
306C2×#685C2311yescharacteristic
307C2×#685C2311yescharacteristic
308C2×C4⋊Dic5C2311yescharacteristic
309C2×C4⋊Dic5C2311yescharacteristic
310C2×C4⋊Dic5C2311yescharacteristic
311C2×C4⋊Dic5C2311yescharacteristic
312C2×C4⋊Dic5C2311yescharacteristic
313#4070—24no—
314C2×#683—24no—
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×#683C2311yescharacteristic
331C2×#683C2311yescharacteristic
332C2×#683C2311yescharacteristic
333C2×#683C2311yescharacteristic
334C2×#683C2311yescharacteristic
335C2×#683C2311yescharacteristic
336C2×C4×Dic5—24no—
337C2×C4×Dic5C2311yescharacteristic
338C2×C4×Dic5C2311yescharacteristic
339C2×C4×Dic5C2311yescharacteristic
340C2×C4×Dic5C2311yescharacteristic
341C2×C4×Dic5C2311yescharacteristic
342C2×C4×Dic5C2311yescharacteristic
343C2×C4×Dic5C2311yescharacteristic
344#4044—24no—
345#4044—24no—
346#4042—24no—
347#4042—24no—
348#4042—42no—
349#4040—24no—
350#4040—24no—
351#4040—42no—
352#4035—24no—
353#4035—24no—
354#4028—42no—
355#4024—42no—
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#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×#385D511yescharacteristic, complemented
423C24×C5—22no—
424C24×C5—22no—
425C24×C5—22no—
426C24×C5—22no—
427C24×C5—41no—
428C24×C5—41no—
429C24×C5#4114yes—
430C24×C5C2411yescharacteristic
431C24×C5C2411yescharacteristic
432C24×C5C2411yescharacteristic
433C23×D5—22no—
434C23×D5—22no—
435C23×D5—22no—
436C23×D5—22no—
437C23×D5—22no—
438C23×D5—41no—
439C23×D5—41no—
440C23×D5C2411yescharacteristic
441C23×D5C2411yescharacteristic
442C23×D5C2411yescharacteristic
443C22×C4×C5—22no—
444C22×C4×C5—22no—
445C22×C4×C5—22no—
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—22no—
457C22×C4×C5—22no—
458C22×C4×C5—22no—
459C22×C4×C5—41no—
460C22×C4×C5—41no—
461C22×C4×C5—41no—
462C22×C4×C5—41no—
463C22×C4×C5—41no—
464C22×C4×C5—41no—
465C22×C4×C5—41no—
466C22×C4×C5—41no—
467C22×C4×C5—41no—
468C22×C4×C5—41no—
469C22×C4×C5—41no—
470C22×C4×C5—41no—
471C22×C4×C5—41no—
472C22×C4×C5—416no—
473C22×C4×C5C2×D414yes—
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C22×C4×C5C2411yescharacteristic
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2411yescharacteristic
479C22×C4×C5C2411yescharacteristic
480C22×C4×C5C2411yescharacteristic
481C22×C4×C5C2411yescharacteristic
482C22×C4×C5C2411yescharacteristic
483C22×C4×C5C2411yescharacteristic
484C22×C4×C5C2411yescharacteristic
485C22×C4×C5C2411yescharacteristic
486C2×C22⋊D5—232no—
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—22no—
494C2×C22⋊D5—22no—
495C2×C22⋊D5—22no—
496C2×C22⋊D5—22no—
497C2×C22⋊D5—22no—
498C2×C22⋊D5—22no—
499C2×C22⋊D5—22no—
500C2×C22⋊D5—22no—
501C2×C22⋊D5—22no—
502C2×C22⋊D5—22no—
503C2×C22⋊D5—22no—
504C2×C22⋊D5—41no—
505C2×C22⋊D5—41no—
506C2×C22⋊D5C2×D414yes—
507C2×C22⋊D5#4114yes—
508C22×Dic5—22no—
509C22×Dic5—22no—
510C22×Dic5—22no—
511C22×Dic5—22no—
512C22×Dic5—22no—
513C22×Dic5—22no—
514C22×Dic5—22no—
515C22×Dic5—41no—
516C22×Dic5—41no—
517C22×Dic5C2411yescharacteristic
518C22×Dic5C2411yescharacteristic
519C22×Dic5C2411yescharacteristic
520C22×Dic5C2411yescharacteristic
521C22×Dic5C2411yescharacteristic
522C22×Dic5C2411yescharacteristic
523C22×Dic5C2411yescharacteristic
524C22×Dic5C2411yescharacteristic
525C22×Dic5C2411yescharacteristic
526C22×Dic5C2411yescharacteristic
527C22×Dic5C2411yescharacteristic
528C22×Dic5C2411yescharacteristic
529C22×Dic5C2411yescharacteristic
530C2×D20—22no—
531C2×D20—22no—
532C2×D20—41no—
533C2×D20—41no—
534C2×D20—41no—
535C2×D20—41no—
536C2×C4×D5—22no—
537C2×C4×D5—22no—
538C2×C4×D5—22no—
539C2×C4×D5—22no—
540C2×C4×D5—22no—
541C2×C4×D5—22no—
542C2×C4×D5—41no—
543C2×C4×D5—41no—
544C2×C4×D5—41no—
545C2×C4×D5—41no—
546C2×C4×D5—41no—
547C2×C4×D5—41no—
548C2×C4×D5—416no—
549C2×C4×D5—41no—
550C2×C4×D5—41no—
551C2×C4×D5C2×D414yes—
552C2×Dic10—22no—
553C2×Dic10—41no—
554C2×Dic10—41no—
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—41no—
562C5×C4⋊C4—41no—
563C5×C22⋊C4—22no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C5×C22⋊C4—22no—
567C5×C22⋊C4—22no—
568C5×C22⋊C4—22no—
569C5×C22⋊C4—41no—
570C5×C22⋊C4—41no—
571C22⋊Dic5—22no—
572C22⋊Dic5—22no—
573C22⋊Dic5—22no—
574C22⋊Dic5—22no—
575C22⋊Dic5—22no—
576C22⋊Dic5—22no—
577C22⋊Dic5—22no—
578C22⋊Dic5—22no—
579C22⋊Dic5—22no—
580C22⋊Dic5—22no—
581C22⋊Dic5—41no—
582C22⋊Dic5—41no—
583C22⋊Dic5C2×D414yes—
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—41no—
600#685—41no—
601#685—41no—
602#685—41no—
603#685—41no—
604#685—41no—
605#685—41no—
606#685—41no—
607#685—41no—
608#685—41no—
609#685—41no—
610#685C2×D414yes—
611C4⋊Dic5—22no—
612C4⋊Dic5—22no—
613C4⋊Dic5—22no—
614C4⋊Dic5—41no—
615C4⋊Dic5—41no—
616#683—22no—
617#683—22no—
618#683—22no—
619#683—22no—
620#683—22no—
621#683—22no—
622#683—22no—
623#683—22no—
624#683—22no—
625#683—22no—
626#683—22no—
627#683—22no—
628#683—22no—
629#683—41no—
630#683—41no—
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⋊Q8—51no—
661C2×C22⋊Q8—51no—
662C2×C22⋊Q8—51no—
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⋊C4C2×D511yescharacteristic, complemented
681C22×C4⋊C4C2×D511yescharacteristic, complemented
682C22×C22⋊C4—51no—
683C22×C22⋊C4—51no—
684C22×C22⋊C4C2×D511yescharacteristic
685C22×C22⋊C4C2×D511yescharacteristic
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#385C2×D511yescharacteristic
774#385C2×D511yescharacteristic
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#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×#95C2×D511yescharacteristic, complemented
800C2×#95C2×D511yescharacteristic, complemented
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—28no—
810C23×C5—28no—
811C23×C5—21no—
812C23×C5—21no—
813C23×C5—21no—
814C23×C5—21no—
815C23×C5—21no—
816C23×C5—21no—
817C23×C5—44no—
818C23×C5—44no—
819C23×C5—44no—
820C23×C5—44no—
821C23×C5—44no—
822C23×C5C22×D412yes—
823C23×C5C2×#4112yes—
824C23×C5C2×#4112yes—
825C23×C5C2×#4112yes—
826C23×C5C2×#4112yes—
827C23×C5H(5,𝔽2)12yes—
828C23×C52−1+412yes—
829C23×C5C2511yescharacteristic
830C22×D5—28no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—21no—
834C22×D5—21no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—21no—
841C22×D5—21no—
842C22×D5—21no—
843C22×D5—21no—
844C22×D5—21no—
845C22×D5—21no—
846C22×D5—21no—
847C22×D5—21no—
848C22×D5—21no—
849C22×D5—21no—
850C22×D5—44no—
851C22×D5—44no—
852C22×D5—44no—
853C22×D5—44no—
854C22×D5—44no—
855C22×D5—44no—
856C22×D5C22×D412yes—
857C22×D5C2×#4112yes—
858C2×C4×C5—28no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—21no—
868C2×C4×C5—21no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—21no—
872C2×C4×C5—21no—
873C2×C4×C5—21no—
874C2×C4×C5—21no—
875C2×C4×C5—21no—
876C2×C4×C5—21no—
877C2×C4×C5—21no—
878C2×C4×C5—21no—
879C2×C4×C5—21no—
880C2×C4×C5—21no—
881C2×C4×C5—21no—
882C2×C4×C5—21no—
883C2×C4×C5—21no—
884C2×C4×C5—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—44no—
893C2×C4×C5—44no—
894C2×C4×C5—44no—
895C2×C4×C5—44no—
896C2×C4×C5—44no—
897C2×C4×C5—44no—
898C2×C4×C5—44no—
899C2×C4×C5—82no—
900C2×C4×C5—82no—
901C2×C4×C5C22×D412yes—
902C2×C4×C5C22×D412yes—
903C2×C4×C5H(5,𝔽2)12yes—
904C22⋊D5—28no—
905C22⋊D5—28no—
906C22⋊D5—28no—
907C22⋊D5—28no—
908C22⋊D5—44no—
909C22⋊D5—44no—
910C22⋊D5—44no—
911C2×Dic5—28no—
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—21no—
945C2×Dic5—21no—
946C2×Dic5—21no—
947C2×Dic5—44no—
948C2×Dic5—44no—
949C2×Dic5C22×D412yes—
950C2×Dic5C22×D412yes—
951C2×Dic5C22×D412yes—
952C2×Dic5C2×#4112yes—
953D20—82no—
954D20—82no—
955C4×D5—44no—
956C4×D5—44no—
957C4×D5—44no—
958C4×D5—44no—
959C4×D5—82no—
960Dic10—82no—
961C25—51no—
962C25C22×D511yescharacteristic
963C22×Q8—51no—
964C22×D4—51no—
965C22×D4—51no—
966C22×D4—51no—
967C22×D4—51no—
968C22×D4—51no—
969C22×D4—51no—
970C22×D4—51no—
971C22×D4—51no—
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—104no—
988C23×C4—202no—
989C23×C4—202no—
990C23×C4C22×D511yescharacteristic
991C23×C4C22×D511yescharacteristic
992C23×C4C22×D511yescharacteristic
993C23×C4C22×D511yescharacteristic
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—104no—
1011C22⋊Q8—104no—
1012C22⋊Q8—104no—
1013C22⋊Q8—202no—
1014C22⋊Q8—202no—
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—24no—
1031C2×C4⋊C4—42no—
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—51no—
1056C2×C4⋊C4—51no—
1057C2×C4⋊C4—51no—
1058C2×C4⋊C4—104no—
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—24no—
1068C2×C22⋊C4—42no—
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—51no—
1108C2×C22⋊C4—51no—
1109C2×C22⋊C4—104no—
1110C2×C22⋊C4—104no—
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#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—22no—
1173C22×C5—22no—
1174C22×C5—22no—
1175C22×C5—22no—
1176C22×C5—22no—
1177C22×C5—22no—
1178C22×C5—416no—
1179C22×C5—41no—
1180C22×C5—41no—
1181C22×C5—41no—
1182C22×C5—41no—
1183C22×C5#52514yes—
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—416no—
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—41no—
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—41no—
1244C24—41no—
1245C24—51no—
1246C24—51no—
1247C24—51no—
1248C24—102no—
1249C24—102no—
1250C24—102no—
1251C24—102no—
1252C24—102no—
1253C24—201no—
1254C24—201no—
1255C24#70914yes—
1256C24C23×D511yescharacteristic
1257C24C23×D511yescharacteristic
1258C24C23×D511yescharacteristic
1259C2×Q8—102no—
1260C2×Q8—201no—
1261C2×Q8—201no—
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—1032no—
1271C2×D4—102no—
1272C2×D4—102no—
1273C2×D4—102no—
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—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—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—416no—
1320C22×C4—51no—
1321C22×C4—51no—
1322C22×C4—51no—
1323C22×C4—51no—
1324C22×C4—54no—
1325C22×C4—51no—
1326C22×C4—51no—
1327C22×C4—51no—
1328C22×C4—51no—
1329C22×C4—51no—
1330C22×C4—51no—
1331C22×C4—51no—
1332C22×C4—51no—
1333C22×C4—51no—
1334C22×C4—102no—
1335C22×C4—102no—
1336C22×C4—102no—
1337C22×C4—102no—
1338C22×C4—102no—
1339C22×C4—102no—
1340C22×C4—102no—
1341C22×C4—102no—
1342C22×C4—102no—
1343C22×C4—102no—
1344C22×C4—102no—
1345C22×C4—102no—
1346C22×C4—102no—
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—22no—
1377C4⋊C4—41no—
1378C4⋊C4—41no—
1379C4⋊C4—54no—
1380C4⋊C4—102no—
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—201no—
1397C4⋊C4—201no—
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—41no—
1412C22⋊C4—41no—
1413C22⋊C4—54no—
1414C22⋊C4—54no—
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—201no—
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⋊C4—201no—
1453C42—54no—
1454C42—102no—
1455C42—102no—
1456C42—102no—
1457C42—102no—
1458C42—201no—
1459C42—201no—
1460C2×C5—24no—
1461C2×C5—24no—
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—42no—
1471D5—42no—
1472D5—81no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—28no—
1482C23—28no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—52no—
1495C23—52no—
1496C23—108no—
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—101no—
1515C23—101no—
1516C23—204no—
1517C23—204no—
1518C23—204no—
1519C23—204no—
1520C23—204no—
1521C23—204no—
1522C23C2×#70912yes—
1523C23C2×#70912yes—
1524C23C2×#70912yes—
1525C23C2×D4×D512yes—
1526C23#414412yes—
1527C23#414712yes—
1528C23D5×#4112yes—
1529C23C24×D511yescharacteristic
1530Q8—402no—
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—44no—
1580C2×C4—44no—
1581C2×C4—52no—
1582C2×C4—52no—
1583C2×C4—52no—
1584C2×C4—52no—
1585C2×C4—82no—
1586C2×C4—82no—
1587C2×C4—108no—
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—101no—
1620C2×C4—101no—
1621C2×C4—101no—
1622C2×C4—101no—
1623C2×C4—204no—
1624C2×C4—204no—
1625C2×C4—204no—
1626C2×C4—204no—
1627C2×C4—204no—
1628C2×C4—204no—
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—22no—
1647C22—22no—
1648C22—22no—
1649C22—416no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—102no—
1655C22—102no—
1656C22—102no—
1657C22—102no—
1658C22—102no—
1659C22—102no—
1660C22—2016no—
1661C22—201no—
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#6584914yescomplemented
1677C22#6588114yes—
1678C22C22×#70911yescharacteristic
1679C22C22×D4×D511yescharacteristic
1680C22C2×#414411yescharacteristic
1681C22C2×#414411yescharacteristic
1682C22C2×#414711yescharacteristic
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—24no—
1712C2—42no—
1713C2—202no—
1714C2—202no—
1715C2—401no—
1716C2C2×#6584911yescharacteristic
1717C2C2×#6588111yescharacteristic
1718C2#1061767711yescharacteristic
1719C2#1061782011yescharacteristic
1720C2#1061788611yescharacteristic
1721C2#1061788811yescharacteristic
1722C2#1061791411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC2×C5×#385C2
prime radical#10613858C2
hypercenterC2×#385D5
hypocenterC5#34991
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
1. C22×C4×C22⋊D5C2semidirect
2. C2×#65849C2semidirect
3. C2×C5×#385C2semidirect
4. C4×#4099C2semidirect
5. #10613926C2semidirect
6. #10613904C2semidirect
7. #10613889C2semidirect
9. #10613857C2semidirect
10. #10613841C2semidirect
11. #10613838C2semidirect
12. #10606387C2semidirect
13. #10606386C2semidirect
14. #10606355C2semidirect
15. #10606354C2semidirect
16. #10606353C2semidirect
17. #10606344C2semidirect
18. #10606343C2semidirect
19. #10606334C2semidirect
20. #10606318C2semidirect
21. #10606317C2semidirect
22. #10606234C2semidirect
23. #10606183C2semidirect
24. #10606171C2semidirect
25. #10606165C2semidirect
26. #10606160C2semidirect
27. #10606152C2semidirect
28. #10605106C2semidirect
29. #10605098C2semidirect
30. #10605080C2semidirect
31. #10605064C2semidirect
35. C22×C5×C4⋊C4C22semidirect
36. C22×C5×C4⋊C4C22semidirect
45. C2×#4075C22semidirect
56. C2×C4×C22⋊D5C22semidirect
57. C2×C4×C22⋊D5C22semidirect
59. C2×#4070C22semidirect
63. C2×#4044C22semidirect
64. C2×#4044C22semidirect
65. C2×#4042C22semidirect
66. C2×#4042C22semidirect
67. C2×#4042C22semidirect
68. C2×#4040C22semidirect
69. C2×#4040C22semidirect
70. C2×#4040C22semidirect
71. C2×#4035C22semidirect
72. C2×#4035C22semidirect
79. C5×#385C22semidirect
80. C5×#385C22semidirect
81. C5×#385C22semidirect
82. C5×#385C22semidirect
83. C2×C5×#95C22semidirect
84. C2×C5×#95C22semidirect
91. #65502C22semidirect
92. #65502C22semidirect
93. #65502C22semidirect
94. #65501C22semidirect
95. #65500C22semidirect
97. #65499C22semidirect
98. #65499C22semidirect
99. #65499C22semidirect
100. #65499C22semidirect
101. #65499C22semidirect
103. C4×C22⋊Dic5C22semidirect
104. C4×C22⋊Dic5C22semidirect
105. #65283C22semidirect
106. #65282C22semidirect
107. #65281C22semidirect
108. #65281C22semidirect
109. #65280C22semidirect
110. #65279C22semidirect
111. #65279C22semidirect
112. #65279C22semidirect
113. #65278C22semidirect
114. #65278C22semidirect
115. #65278C22semidirect
116. #65278C22semidirect
117. #65273C22semidirect
118. #65270C22semidirect
119. #65270C22semidirect
120. #65269C22semidirect
121. #65268C22semidirect
122. #65267C22semidirect
123. #65267C22semidirect
124. #65261C22semidirect
125. #65261C22semidirect
126. #65261C22semidirect
135. #65248C22semidirect
136. #65248C22semidirect
143. #65241C22semidirect
144. #65241C22semidirect
147. #65238C22semidirect
148. #65237C22semidirect
149. #65237C22semidirect
150. #65236C22semidirect
157. #64965C22semidirect
158. #64964C22semidirect
159. #64964C22semidirect
160. #64963C22semidirect
161. #64961C22semidirect
162. #64959C22semidirect
163. #64959C22semidirect
164. #64958C22semidirect
165. #64958C22semidirect
166. #64958C22semidirect
167. #64957C22semidirect
168. #64957C22semidirect
169. #64957C22semidirect
170. #64956C22semidirect
171. #64956C22semidirect
172. #64954C22semidirect
173. #64954C22semidirect
174. #64954C22semidirect
175. #64953C22semidirect
176. #64953C22semidirect
177. #64947C22semidirect
178. #64946C22semidirect
179. #64946C22semidirect
180. #64943C22semidirect
181. #64942C22semidirect
182. #64942C22semidirect
183. #64941C22semidirect
184. #64941C22semidirect
185. #64941C22semidirect
186. #64940C22semidirect
187. #64939C22semidirect
188. #64936C22semidirect
279. C4×C22⋊D5D4semidirect
422. C2×#385D5semidirect
680. C22×C4⋊C4C2×D5semidirect
681. C22×C4⋊C4C2×D5semidirect
777. #385C2×D5semidirect
778. #385C2×D5semidirect
779. #385C2×D5semidirect
780. #385C2×D5semidirect
799. C2×#95C2×D5semidirect
800. C2×#95C2×D5semidirect
1184. C22×C5#539semidirect
1633. C5#34991semidirect
1676. C22#65849semidirect

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×#658492
C2×C5×#3852
C4×#40992
#106139262
#106139042
#106138892
#106138582
#106138572
#106138412
#106138382
#106063872
#106063862
#106063552
#106063542
#106063532
#106063442
#106063432
#106063342
#106063182
#106063172
#106062342
#106061832
#106061712
#106061652
#106061602
#106061522
#106051062
#106050982
#106050802
#106050642
#349915