Finite Group Databasebeta

← #12271990

Subgroups — #12271990

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×#65994C211yesmaximal, characteristic, complemented
3C5×#2849C211yesmaximal, characteristic, complemented
4#10615762C211yesmaximal, characteristic, complemented
5#10614635C211yesmaximal, characteristic, complemented
6#10614629C211yesmaximal, characteristic, complemented
7#10614628C211yesmaximal, characteristic, complemented
8#10614336C211yesmaximal, characteristic
9#10614316C211yesmaximal, characteristic, complemented
10#10606631C211yesmaximal, characteristic, complemented
11#10606626C211yesmaximal, characteristic, complemented
12#10606621C211yesmaximal, characteristic, complemented
13#10606608C211yesmaximal, characteristic, complemented
14#10606601C211yesmaximal, characteristic, complemented
15#10606515C211yesmaximal, characteristic, complemented
16#10606440C211yesmaximal, characteristic, complemented
17#10606390C211yesmaximal, characteristic, complemented
18#10606340C211yesmaximal, characteristic, complemented
19#10606338C211yesmaximal, characteristic, complemented
20#10606324C211yesmaximal, characteristic, complemented
21D5×#385C211yesmaximal, characteristic, complemented
22#10606317C211yesmaximal, characteristic, complemented
23#10606234C211yesmaximal, characteristic, complemented
24#10606174C211yesmaximal, characteristic, complemented
25#10606161C211yesmaximal, characteristic, complemented
26#10605858C211yesmaximal, characteristic, complemented
27#10605851C211yesmaximal, characteristic, complemented
28#10605822C211yesmaximal, characteristic, complemented
29#10605802C211yesmaximal, characteristic, complemented
30#10605584C211yesmaximal, characteristic, complemented
31#10605562C211yesmaximal, characteristic, complemented
32C24×C4×C5C2211yescharacteristic
33C23×C22⋊D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×#123C2211yescharacteristic, complemented
36C2×C5×#123C2211yescharacteristic, complemented
37C2×C5×#120C2211yescharacteristic
38C22×C22⋊Dic5C2211yescharacteristic
39C2×#4084C2211yescharacteristic
40C2×#4084C2211yescharacteristic
41C2×#4083C2211yescharacteristic
42C2×#4081C2211yescharacteristic, complemented
43C2×D4×Dic5C2211yescharacteristic
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
54C2×#4070C2211yescharacteristic
55C2×#4070C2211yescharacteristic, complemented
56C2×#4070C2211yescharacteristic, complemented
57C22×#683C2211yescharacteristic
58C22×C4×Dic5C2211yescharacteristic
59#65994—28no—
60C2×#4042C2211yescharacteristic, complemented
61C2×D5×C4⋊C4C2211yescharacteristic, complemented
62C2×D5×C4⋊C4C2211yescharacteristic, complemented
63C2×#4036C2211yescharacteristic, complemented
64C2×#4035C2211yescharacteristic, complemented
65C2×#4029C2211yescharacteristic
66C2×#4029C2211yescharacteristic
67C2×#4029C2211yescharacteristic, complemented
68C2×#4027C2211yescharacteristic, complemented
69C2×#4027C2211yescharacteristic, complemented
70C2×D5×C22⋊C4C2211yescharacteristic
71C2×D5×C22⋊C4C2211yescharacteristic
72C2×#4025C2211yescharacteristic, complemented
73C2×#4025C2211yescharacteristic, complemented
74C2×#4024C2211yescharacteristic, complemented
75C5×#386C2211yescharacteristic
76C5×#386C2211yescharacteristic
77C5×#386C2211yescharacteristic, complemented
78C5×#386C2211yescharacteristic, complemented
79C5×#385C2211yescharacteristic
80C5×#385C2211yescharacteristic
81C5×#385C2211yescharacteristic, complemented
82C5×#385C2211yescharacteristic, complemented
83C5×#381C2211yescharacteristic, complemented
84C5×#381C2211yescharacteristic, complemented
85C5×#379C2211yescharacteristic
86#65536C2211yescharacteristic
87#65536C2211yescharacteristic
88#65512C2211yescharacteristic
89#65512C2211yescharacteristic
90#65511C2211yescharacteristic, complemented
91#65511C2211yescharacteristic, complemented
92#65509C2211yescharacteristic
93#65509C2211yescharacteristic
94#65509C2211yescharacteristic, complemented
95#65501C2211yescharacteristic
96#65501C2211yescharacteristic, complemented
97#65501C2211yescharacteristic, complemented
98#65499C2211yescharacteristic
99#65499C2211yescharacteristic
100#65499C2211yescharacteristic, complemented
101#65499C2211yescharacteristic, complemented
102#65499C2211yescharacteristic, complemented
103#65499C2211yescharacteristic, complemented
104#65283C2211yescharacteristic, complemented
105#65281C2211yescharacteristic, complemented
106#65278C2211yescharacteristic, complemented
107#65278C2211yescharacteristic, complemented
108#65278C2211yescharacteristic, complemented
109#65273C2211yescharacteristic, complemented
110#65273C2211yescharacteristic, complemented
111#65270C2211yescharacteristic, complemented
112#65267C2211yescharacteristic, complemented
113#65262C2211yescharacteristic, complemented
114#65261C2211yescharacteristic, complemented
115#65250C2211yescharacteristic
116#65250C2211yescharacteristic
117#65250C2211yescharacteristic
118#65250C2211yescharacteristic
119#65250C2211yescharacteristic, complemented
120#65248C2211yescharacteristic
121#65248C2211yescharacteristic
122#65248C2211yescharacteristic, complemented
123#65245C2211yescharacteristic
124#65245C2211yescharacteristic
125#65245C2211yescharacteristic
126#65245C2211yescharacteristic
127#65245C2211yescharacteristic, complemented
128#65245C2211yescharacteristic, complemented
129#65245C2211yescharacteristic, complemented
130#65244C2211yescharacteristic
131#65242C2211yescharacteristic, complemented
132#65242C2211yescharacteristic, complemented
133#65241C2211yescharacteristic, complemented
134#65241C2211yescharacteristic, complemented
135#65240C2211yescharacteristic, complemented
136#65240C2211yescharacteristic, complemented
137#65239C2211yescharacteristic
138#65239C2211yescharacteristic
139#65239C2211yescharacteristic
140#65238C2211yescharacteristic, complemented
141#65238C2211yescharacteristic, complemented
142#65237C2211yescharacteristic, complemented
143#65237C2211yescharacteristic, complemented
144#65235C2211yescharacteristic
145#65235C2211yescharacteristic
146#65235C2211yescharacteristic
147#65235C2211yescharacteristic, complemented
148#65234C2211yescharacteristic, complemented
149#65234C2211yescharacteristic, complemented
150#65233C2211yescharacteristic, complemented
151#65233C2211yescharacteristic, complemented
152#65233C2211yescharacteristic, complemented
153#65233C2211yescharacteristic, complemented
154#65231C2211yescharacteristic
155#65231C2211yescharacteristic
156C22⋊C4×Dic5C2211yescharacteristic
157#64965C2211yescharacteristic, complemented
158#64964C2211yescharacteristic, complemented
159#64963C2211yescharacteristic, complemented
160#64962C2211yescharacteristic, complemented
161#64957C2211yescharacteristic, complemented
162#64957C2211yescharacteristic, complemented
163#64957C2211yescharacteristic, complemented
164#64957C2211yescharacteristic, complemented
165#64957C2211yescharacteristic, complemented
166#64957C2211yescharacteristic, complemented
167#64956C2211yescharacteristic, complemented
168#64955C2211yescharacteristic, complemented
169#64955C2211yescharacteristic, complemented
170#64953C2211yescharacteristic, complemented
171D5×#95C2211yescharacteristic, complemented
172D5×#95C2211yescharacteristic, complemented
173#64950C2211yescharacteristic, complemented
174#64949C2211yescharacteristic, complemented
175#64946C2211yescharacteristic, complemented
176#64945C2211yescharacteristic, complemented
177#64944C2211yescharacteristic, complemented
178#64944C2211yescharacteristic, complemented
179#64944C2211yescharacteristic, complemented
180#64943C2211yescharacteristic, complemented
181#64942C2211yescharacteristic, 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×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C23×C4×C5—24no—
196C23×C4×C5—42no—
197C23×C4×C5—42no—
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C23×C4×C5C2311yescharacteristic
204C22×C22⋊D5—24no—
205C22×C22⋊D5—24no—
206C22×C22⋊D5—24no—
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C22×C22⋊D5C2311yescharacteristic
212C22×C22⋊D5C2311yescharacteristic
213C23×Dic5C2311yescharacteristic
214C23×Dic5C2311yescharacteristic
215C23×Dic5C2311yescharacteristic
216C23×Dic5C2311yescharacteristic
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×Dic10C2311yescharacteristic
229C5×#123—24no—
230C5×#123—42no—
231C5×#120—42no—
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238C2×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C5×C22⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C22⋊Dic5—24no—
250C2×C22⋊Dic5C2311yescharacteristic
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
264C2×C22⋊Dic5C2311yescharacteristic
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268C2×C22⋊Dic5C2311yescharacteristic
269C2×C22⋊Dic5C2311yescharacteristic
270C2×C22⋊Dic5C2311yescharacteristic
271#4084—24no—
272#4084—24no—
273#4083—24no—
274#4081—24no—
275D4×Dic5—42no—
276C4×C22⋊D5—24no—
277C4×C22⋊D5—24no—
278C4×C22⋊D5—24no—
279C4×C22⋊D5—24no—
280C4×C22⋊D5—24no—
281C4×C22⋊D5—24no—
282C4×C22⋊D5—24no—
283C4×C22⋊D5D418yescomplemented
284C2×#685—24no—
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×C4⋊Dic5C2311yescharacteristic
300C2×C4⋊Dic5C2311yescharacteristic
301C2×C4⋊Dic5C2311yescharacteristic
302C2×C4⋊Dic5C2311yescharacteristic
303C2×C4⋊Dic5C2311yescharacteristic
304C2×C4⋊Dic5C2311yescharacteristic
305C2×C4⋊Dic5C2311yescharacteristic
306C2×C4⋊Dic5C2311yescharacteristic
307C2×C4⋊Dic5C2311yescharacteristic
308C2×C4⋊Dic5C2311yescharacteristic
309#4070—24no—
310#4070—42no—
311#4070—42no—
312C2×#683—24no—
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×#683C2311yescharacteristic
331C2×#683C2311yescharacteristic
332C2×#683C2311yescharacteristic
333C2×C4×Dic5—24no—
334C2×C4×Dic5C2311yescharacteristic
335C2×C4×Dic5C2311yescharacteristic
336C2×C4×Dic5C2311yescharacteristic
337C2×C4×Dic5C2311yescharacteristic
338C2×C4×Dic5C2311yescharacteristic
339C2×C4×Dic5C2311yescharacteristic
340C2×C4×Dic5C2311yescharacteristic
341#4042—24no—
342D5×C4⋊C4—24no—
343D5×C4⋊C4—42no—
344#4036—24no—
345#4035—24no—
346#4029—24no—
347#4029—24no—
348#4029—24no—
349#4027—24no—
350#4027—42no—
351D5×C22⋊C4—24no—
352D5×C22⋊C4—42no—
353#4025—24no—
354#4025—24no—
355#4024—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#2849D511yescharacteristic, complemented
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×#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
433C24×C5C2411yescharacteristic
434C23×D5—22no—
435C23×D5—22no—
436C23×D5—22no—
437C23×D5—22no—
438C23×D5—41no—
439C23×D5—41no—
440C23×D5#4114yes—
441C23×D5C2411yescharacteristic
442C23×D5C2411yescharacteristic
443C2×C5×D4—22no—
444C2×C5×D4—22no—
445C2×C5×D4—22no—
446C2×C5×D4—22no—
447C2×C5×D4—22no—
448C2×C5×D4—41no—
449C2×C5×D4—41no—
450C2×C5×D4—41no—
451C2×C5×D4—41no—
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—22no—
460C22×C4×C5—22no—
461C22×C4×C5—22no—
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—416no—
470C22×C4×C5C2×D414yes—
471C22×C4×C5C2411yescharacteristic
472C22×C4×C5C2411yescharacteristic
473C22×C4×C5C2411yescharacteristic
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C22×C4×C5C2411yescharacteristic
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2411yescharacteristic
479C22×C4×C5C2411yescharacteristic
480C22×C4×C5C2411yescharacteristic
481C22×C4×C5C2411yescharacteristic
482C2×C22⋊D5—232no—
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—22no—
494C2×C22⋊D5—22no—
495C2×C22⋊D5—22no—
496C2×C22⋊D5—22no—
497C2×C22⋊D5—41no—
498C2×C22⋊D5—41no—
499C2×C22⋊D5C2×D414yes—
500C2×C22⋊D5#4114yes—
501C22×Dic5—22no—
502C22×Dic5—22no—
503C22×Dic5—22no—
504C22×Dic5—22no—
505C22×Dic5—22no—
506C22×Dic5—22no—
507C22×Dic5—22no—
508C22×Dic5—22no—
509C22×Dic5—41no—
510C22×Dic5—41no—
511C22×Dic5—41no—
512C22×Dic5—41no—
513C22×Dic5C2411yescharacteristic
514C22×Dic5C2411yescharacteristic
515C22×Dic5C2411yescharacteristic
516C22×Dic5C2411yescharacteristic
517C22×Dic5C2411yescharacteristic
518C22×Dic5C2411yescharacteristic
519C22×Dic5C2411yescharacteristic
520C22×Dic5C2411yescharacteristic
521C22×Dic5C2411yescharacteristic
522C22×Dic5C2411yescharacteristic
523C22×Dic5C2411yescharacteristic
524C22×Dic5C2411yescharacteristic
525C22×Dic5C2411yescharacteristic
526C22×Dic5C2411yescharacteristic
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—41no—
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—416no—
547C2×C4×D5—41no—
548C2×C4×D5—41no—
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—41no—
559C5×C22⋊C4—22no—
560C5×C22⋊C4—22no—
561C5×C22⋊C4—22no—
562C5×C22⋊C4—22no—
563C5×C22⋊C4—22no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C5×C22⋊C4—22no—
567C5×C22⋊C4—41no—
568C5×C22⋊C4—41no—
569C5×C22⋊C4—41no—
570C5×C22⋊C4—41no—
571C5×C22⋊C4—41no—
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—22no—
582C22⋊Dic5—22no—
583C22⋊Dic5—22no—
584C22⋊Dic5—22no—
585C22⋊Dic5—22no—
586C22⋊Dic5—41no—
587C22⋊Dic5—41no—
588C22⋊Dic5—41no—
589C22⋊Dic5—41no—
590C22⋊Dic5—41no—
591C22⋊Dic5—41no—
592C22⋊Dic5C2×D414yes—
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—41no—
603#685—41no—
604#685—41no—
605#685—41no—
606#685C2×D414yes—
607C4⋊Dic5—22no—
608C4⋊Dic5—22no—
609C4⋊Dic5—22no—
610C4⋊Dic5—22no—
611C4⋊Dic5—22no—
612C4⋊Dic5—22no—
613C4⋊Dic5—41no—
614C4⋊Dic5—41no—
615C4⋊Dic5—41no—
616C4⋊Dic5—41no—
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—22no—
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×#123C2×D511yescharacteristic, complemented
657C2×#123C2×D511yescharacteristic, complemented
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×#120C2×D511yescharacteristic
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#386C2×D511yescharacteristic
752#386C2×D511yescharacteristic
753#386C2×D511yescharacteristic, complemented
754#386C2×D511yescharacteristic, complemented
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#385C2×D511yescharacteristic
778#385C2×D511yescharacteristic
779#385C2×D511yescharacteristic, complemented
780#385C2×D511yescharacteristic, complemented
781#383—51no—
782#382—51no—
783#381—51no—
784#381C2×D511yescharacteristic, complemented
785#381C2×D511yescharacteristic, complemented
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#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—21no—
819C23×C5—21no—
820C23×C5—21no—
821C23×C5—21no—
822C23×C5—21no—
823C23×C5—21no—
824C23×C5—21no—
825C23×C5—44no—
826C23×C5—44no—
827C23×C5—44no—
828C23×C5—44no—
829C23×C5—44no—
830C23×C5—44no—
831C23×C5C22×D412yes—
832C23×C5C2×#4112yes—
833C23×C5C2×#4112yes—
834C23×C5H(5,𝔽2)12yes—
835C23×C52−1+412yes—
836C23×C5C2511yescharacteristic
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—28no—
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×D4—44no—
859C5×D4—82no—
860C5×D4—82no—
861C2×C4×C5—28no—
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×C5C22×D412yes—
898C2×C4×C5C22×D412yes—
899C2×C4×C5H(5,𝔽2)12yes—
900C22⋊D5—28no—
901C22⋊D5—28no—
902C22⋊D5—28no—
903C22⋊D5—28no—
904C22⋊D5—44no—
905C22⋊D5—44no—
906C2×Dic5—28no—
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—21no—
941C2×Dic5—21no—
942C2×Dic5—21no—
943C2×Dic5—21no—
944C2×Dic5—21no—
945C2×Dic5—44no—
946C2×Dic5—44no—
947C2×Dic5—82no—
948C2×Dic5C22×D412yes—
949C2×Dic5C22×D412yes—
950C2×Dic5C22×D412yes—
951C2×Dic5C2×#4112yes—
952C4×D5—44no—
953C4×D5—44no—
954C4×D5—44no—
955C4×D5—44no—
956C4×D5—44no—
957C4×D5—44no—
958C4×D5—82no—
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—104no—
971C22×D4—104no—
972C22×D4—104no—
973C22×D4C22×D511yescharacteristic
974C22×D4C22×D511yescharacteristic
975C22×D4C22×D511yescharacteristic
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—24no—
1005#123—42no—
1006#123—104no—
1007#123—104no—
1008#123—104no—
1009#123—104no—
1010C22⋊Q8—104no—
1011C22⋊Q8—104no—
1012C22⋊Q8—104no—
1013C22⋊Q8—202no—
1014C22⋊Q8—202no—
1015#121—104no—
1016#121—104no—
1017#120—42no—
1018#120—104no—
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—51no—
1056C2×C4⋊C4—51no—
1057C2×C4⋊C4—51no—
1058C2×C4⋊C4—51no—
1059C2×C4⋊C4—51no—
1060C2×C4⋊C4—104no—
1061C2×C4⋊C4—104no—
1062C2×C4⋊C4—202no—
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—104no—
1103C2×C22⋊C4—104no—
1104C2×C22⋊C4—104no—
1105C2×C22⋊C4—202no—
1106C2×C22⋊C4C22×D511yescharacteristic
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#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—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—41no—
1185C22×C5—41no—
1186C22×C5—41no—
1187C22×C5—41no—
1188C22×C5—41no—
1189C22×C5—41no—
1190C22×C5—41no—
1191C22×C5#53914yescomplemented
1192C22×C5C23×D411yescharacteristic
1193C22×C5C22×#4111yescharacteristic
1194C22×C5C22×#4111yescharacteristic
1195C22×C5C2×H(5,𝔽2)11yescharacteristic
1196C22×C5C2×H(5,𝔽2)11yescharacteristic
1197C22×C5C2×2−1+411yescharacteristic
1198C22×C5#58511yescharacteristic
1199C2×D5—22no—
1200C2×D5—22no—
1201C2×D5—22no—
1202C2×D5—22no—
1203C2×D5—22no—
1204C2×D5—22no—
1205C2×D5—22no—
1206C2×D5—22no—
1207C2×D5—22no—
1208C2×D5—416no—
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—
1225Dic5—22no—
1226Dic5—22no—
1227Dic5—22no—
1228Dic5—22no—
1229Dic5—41no—
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—102no—
1250C24—102no—
1251C24—102no—
1252C24—102no—
1253C24—201no—
1254C24—201no—
1255C24C23×D511yescharacteristic
1256C24C23×D511yescharacteristic
1257C24C23×D511yescharacteristic
1258C24C23×D511yescharacteristic
1259C2×Q8—102no—
1260C2×Q8—201no—
1261C2×Q8—201no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—54no—
1272C2×D4—54no—
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—1032no—
1282C2×D4—102no—
1283C2×D4—102no—
1284C2×D4—102no—
1285C2×D4—102no—
1286C2×D4—102no—
1287C2×D4—102no—
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—51no—
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—102no—
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—2016no—
1355C22×C4—201no—
1356C22×C4—201no—
1357C22×C4—201no—
1358C22×C4—201no—
1359C22×C4D4×D514yes—
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—41no—
1375C4⋊C4—54no—
1376C4⋊C4—102no—
1377C4⋊C4—102no—
1378C4⋊C4—102no—
1379C4⋊C4—102no—
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—201no—
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—22no—
1412C22⋊C4—22no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—54no—
1419C22⋊C4—54no—
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—102no—
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×C5—81no—
1464C2×C5C2×#52511yescharacteristic
1465C2×C5C2×#53911yescharacteristic
1466C2×C5#345911yescharacteristic
1467C2×C5#348411yescharacteristic
1468C2×C5#348911yescharacteristic
1469C2×C5#351311yescharacteristic
1470C2×C5#352011yescharacteristic
1471D5—24no—
1472D5—42no—
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—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—52no—
1504C23—52no—
1505C23—52no—
1506C23—52no—
1507C23—108no—
1508C23—101no—
1509C23—101no—
1510C23—101no—
1511C23—101no—
1512C23—108no—
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—
1526C23D5×#4112yes—
1527C23D5×#4112yes—
1528C23#415012yes—
1529C23C24×D511yescharacteristic
1530Q8—402no—
1531D4—44no—
1532D4—82no—
1533D4—82no—
1534D4—108no—
1535D4—108no—
1536D4—108no—
1537D4—108no—
1538D4—204no—
1539D4—204no—
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—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—52no—
1577C2×C4—52no—
1578C2×C4—52no—
1579C2×C4—52no—
1580C2×C4—108no—
1581C2×C4—101no—
1582C2×C4—101no—
1583C2×C4—101no—
1584C2×C4—101no—
1585C2×C4—101no—
1586C2×C4—101no—
1587C2×C4—101no—
1588C2×C4—101no—
1589C2×C4—101no—
1590C2×C4—101no—
1591C2×C4—101no—
1592C2×C4—101no—
1593C2×C4—101no—
1594C2×C4—101no—
1595C2×C4—101no—
1596C2×C4—101no—
1597C2×C4—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—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—54no—
1663C22—102no—
1664C22—102no—
1665C22—102no—
1666C22—102no—
1667C22—102no—
1668C22—102no—
1669C22—102no—
1670C22—102no—
1671C22—102no—
1672C22—2016no—
1673C22—201no—
1674C22—201no—
1675C22—201no—
1676C22—201no—
1677C22#6599414yescomplemented
1678C22C22×D4×D511yescharacteristic
1679C22C2×#414411yescharacteristic
1680C22C2×#414411yescharacteristic
1681C22C2×D5×#4111yescharacteristic
1682C22C2×D5×#4111yescharacteristic
1683C22C2×#415011yescharacteristic
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—102no—
1697C4—102no—
1698C4—102no—
1699C4—102no—
1700C4—201no—
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—81no—
1714C2—104no—
1715C2—202no—
1716C2#1061782011yescharacteristic
1717C2C2×#6599411yescharacteristic
1718C2#1061791411yescharacteristic
1719C2D5×#52511yescharacteristic
1720C2#1061793711yescharacteristic
1721C2#1061794311yescharacteristic
1722C2#1061794811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2849C2
prime radical#10614336C2
hypercenter#2849D5
hypocenterC5#34991
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. C22×C4×C22⋊D5C2semidirect
2. C2×#65994C2semidirect
3. C5×#2849C2semidirect
4. #10615762C2semidirect
5. #10614635C2semidirect
6. #10614629C2semidirect
7. #10614628C2semidirect
9. #10614316C2semidirect
10. #10606631C2semidirect
11. #10606626C2semidirect
12. #10606621C2semidirect
13. #10606608C2semidirect
14. #10606601C2semidirect
15. #10606515C2semidirect
16. #10606440C2semidirect
17. #10606390C2semidirect
18. #10606340C2semidirect
19. #10606338C2semidirect
20. #10606324C2semidirect
21. D5×#385C2semidirect
22. #10606317C2semidirect
23. #10606234C2semidirect
24. #10606174C2semidirect
25. #10606161C2semidirect
26. #10605858C2semidirect
27. #10605851C2semidirect
28. #10605822C2semidirect
29. #10605802C2semidirect
30. #10605584C2semidirect
31. #10605562C2semidirect
35. C2×C5×#123C22semidirect
36. C2×C5×#123C22semidirect
42. C2×#4081C22semidirect
55. C2×#4070C22semidirect
56. C2×#4070C22semidirect
60. C2×#4042C22semidirect
61. C2×D5×C4⋊C4C22semidirect
62. C2×D5×C4⋊C4C22semidirect
63. C2×#4036C22semidirect
64. C2×#4035C22semidirect
67. C2×#4029C22semidirect
68. C2×#4027C22semidirect
69. C2×#4027C22semidirect
72. C2×#4025C22semidirect
73. C2×#4025C22semidirect
74. C2×#4024C22semidirect
77. C5×#386C22semidirect
78. C5×#386C22semidirect
81. C5×#385C22semidirect
82. C5×#385C22semidirect
83. C5×#381C22semidirect
84. C5×#381C22semidirect
90. #65511C22semidirect
91. #65511C22semidirect
94. #65509C22semidirect
96. #65501C22semidirect
97. #65501C22semidirect
100. #65499C22semidirect
101. #65499C22semidirect
102. #65499C22semidirect
103. #65499C22semidirect
104. #65283C22semidirect
105. #65281C22semidirect
106. #65278C22semidirect
107. #65278C22semidirect
108. #65278C22semidirect
109. #65273C22semidirect
110. #65273C22semidirect
111. #65270C22semidirect
112. #65267C22semidirect
113. #65262C22semidirect
114. #65261C22semidirect
119. #65250C22semidirect
122. #65248C22semidirect
127. #65245C22semidirect
128. #65245C22semidirect
129. #65245C22semidirect
131. #65242C22semidirect
132. #65242C22semidirect
133. #65241C22semidirect
134. #65241C22semidirect
135. #65240C22semidirect
136. #65240C22semidirect
140. #65238C22semidirect
141. #65238C22semidirect
142. #65237C22semidirect
143. #65237C22semidirect
147. #65235C22semidirect
148. #65234C22semidirect
149. #65234C22semidirect
150. #65233C22semidirect
151. #65233C22semidirect
152. #65233C22semidirect
153. #65233C22semidirect
157. #64965C22semidirect
158. #64964C22semidirect
159. #64963C22semidirect
160. #64962C22semidirect
161. #64957C22semidirect
162. #64957C22semidirect
163. #64957C22semidirect
164. #64957C22semidirect
165. #64957C22semidirect
166. #64957C22semidirect
167. #64956C22semidirect
168. #64955C22semidirect
169. #64955C22semidirect
170. #64953C22semidirect
171. D5×#95C22semidirect
172. D5×#95C22semidirect
173. #64950C22semidirect
174. #64949C22semidirect
175. #64946C22semidirect
176. #64945C22semidirect
177. #64944C22semidirect
178. #64944C22semidirect
179. #64944C22semidirect
180. #64943C22semidirect
181. #64942C22semidirect
182. #64942C22semidirect
183. #64941C22semidirect
184. #64941C22semidirect
185. #64940C22semidirect
186. #64939C22semidirect
187. #64936C22semidirect
188. #64936C22semidirect
283. C4×C22⋊D5D4semidirect
396. #2849D5semidirect
656. C2×#123C2×D5semidirect
657. C2×#123C2×D5semidirect
753. #386C2×D5semidirect
754. #386C2×D5semidirect
779. #385C2×D5semidirect
780. #385C2×D5semidirect
784. #381C2×D5semidirect
785. #381C2×D5semidirect
1191. C22×C5#539semidirect
1633. C5#34991semidirect
1677. C22#65994semidirect

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×#659942
C5×#28492
#106157622
#106146352
#106146292
#106146282
#106143362
#106143162
#106066312
#106066262
#106066212
#106066082
#106066012
#106065152
#106064402
#106063902
#106063402
#106063382
#106063242
D5×#3852
#106063172
#106062342
#106061742
#106061612
#106058582
#106058512
#106058222
#106058022
#106055842
#106055622
#349915