Finite Group Databasebeta

← #12306396

Subgroups — #12306396

Order 1280.

3282 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2424C211yesmaximal, characteristic, complemented
2#10614451C211yesmaximal, characteristic, complemented
3#10614444C211yesmaximal, characteristic, complemented
4#10614441C211yesmaximal, characteristic, complemented
5#10614437C211yesmaximal, characteristic, complemented
6#10614343C211yesmaximal, characteristic, complemented
7#10614343C211yesmaximal, characteristic, complemented
8#10614320C211yesmaximal, characteristic, complemented
9#10614316C211yesmaximal, characteristic, complemented
10#10614135C211yesmaximal, characteristic, complemented
11#10614126C211yesmaximal, characteristic, complemented
12C2×#65244C211yesmaximal, characteristic, complemented
13#10613843C211yesmaximal, characteristic, complemented
14#10609173C211yesmaximal, characteristic, complemented
15#10609173C211yesmaximal, characteristic, complemented
16#10608874C211yesmaximal, characteristic, complemented
17#10608873C211yesmaximal, characteristic, complemented
18#10608872C211yesmaximal, characteristic, complemented
19#10608871C211yesmaximal, characteristic, complemented
20#10608502C211yesmaximal, characteristic, complemented
21#10608497C211yesmaximal, characteristic, complemented
22#10608200C211yesmaximal, characteristic, complemented
23#10608199C211yesmaximal, characteristic, complemented
24#10607667C211yesmaximal, characteristic, complemented
25#10607666C211yesmaximal, characteristic, complemented
26#10606655C211yesmaximal, characteristic, complemented
27#10606649C211yesmaximal, characteristic, complemented
28#10606606C211yesmaximal, characteristic, complemented
29#10606458C211yesmaximal, characteristic, complemented
30#10606352C211yesmaximal, characteristic, complemented
31#10606184C211yesmaximal, characteristic, complemented
32C25×D5C2211yescharacteristic
33C2×C5×#121C2211yescharacteristic, complemented
34C2×C5×#121C2211yescharacteristic, complemented
35C2×C5×#120C2211yescharacteristic
36C2×C5×#120C2211yescharacteristic
37C2×C4×C5×D4C2211yescharacteristic, complemented
38C22×C5×C22⋊C4C2211yescharacteristic
39C22×C22⋊Dic5C2211yescharacteristic
40C2×#4085C2211yescharacteristic, complemented
41C2×#4083C2211yescharacteristic
42C2×#4083C2211yescharacteristic
43C2×#4083C2211yescharacteristic
44C2×#4083C2211yescharacteristic
45C2×#4083C2211yescharacteristic
46C2×#4083C2211yescharacteristic
47C2×#4083C2211yescharacteristic
48C2×#4083C2211yescharacteristic
49C2×#4083C2211yescharacteristic
50C2×#4083C2211yescharacteristic
51C2×#4083C2211yescharacteristic
52C2×#4083C2211yescharacteristic
53C2×#4082C2211yescharacteristic, complemented
54C2×#4081C2211yescharacteristic, complemented
55C2×D4×Dic5C2211yescharacteristic, complemented
56C2×#4075C2211yescharacteristic, complemented
57C22×#685C2211yescharacteristic
58C22×#685C2211yescharacteristic
59C22×#685C2211yescharacteristic
60C22×#685C2211yescharacteristic
61C2×#4044C2211yescharacteristic, complemented
62C2×#4031C2211yescharacteristic, complemented
63C2×#4025C2211yescharacteristic, complemented
64C2×#4024C2211yescharacteristic, complemented
65C5×#396C2211yescharacteristic, complemented
66C5×#394C2211yescharacteristic, complemented
67C5×#394C2211yescharacteristic, complemented
68C5×#392C2211yescharacteristic, complemented
69C5×#390C2211yescharacteristic, complemented
70C5×#388C2211yescharacteristic, complemented
71C5×#386C2211yescharacteristic, complemented
72C5×#386C2211yescharacteristic, complemented
73C5×#385C2211yescharacteristic, complemented
74#65536C2211yescharacteristic
75#65536C2211yescharacteristic
76#65512C2211yescharacteristic, complemented
77#65512C2211yescharacteristic, complemented
78#65512C2211yescharacteristic, complemented
79#65511C2211yescharacteristic, complemented
80#65511C2211yescharacteristic, complemented
81#65511C2211yescharacteristic, complemented
82#65511C2211yescharacteristic, complemented
83#65510C2211yescharacteristic, complemented
84#65509C2211yescharacteristic, complemented
85#65509C2211yescharacteristic, complemented
86#65509C2211yescharacteristic, complemented
87#65509C2211yescharacteristic, complemented
88#65502C2211yescharacteristic, complemented
89#65502C2211yescharacteristic, complemented
90#65502C2211yescharacteristic, complemented
91#65501C2211yescharacteristic, complemented
92#65499C2211yescharacteristic, complemented
93#65499C2211yescharacteristic, complemented
94C4×C22⋊Dic5C2211yescharacteristic, complemented
95#65283C2211yescharacteristic, complemented
96#65283C2211yescharacteristic, complemented
97#65283C2211yescharacteristic, complemented
98#65283C2211yescharacteristic, complemented
99#65282C2211yescharacteristic, complemented
100#65282C2211yescharacteristic, complemented
101#65282C2211yescharacteristic, complemented
102#65282C2211yescharacteristic, complemented
103#65281C2211yescharacteristic, complemented
104#65281C2211yescharacteristic, complemented
105#65281C2211yescharacteristic, complemented
106#65279C2211yescharacteristic, complemented
107#65279C2211yescharacteristic, complemented
108#65279C2211yescharacteristic, complemented
109#65279C2211yescharacteristic, complemented
110#65250C2211yescharacteristic, complemented
111#65250C2211yescharacteristic, complemented
112#65250C2211yescharacteristic, complemented
113#65250C2211yescharacteristic, complemented
114#65250C2211yescharacteristic, complemented
115#65250C2211yescharacteristic, complemented
116#65248C2211yescharacteristic, complemented
117#65248C2211yescharacteristic, complemented
118#65248C2211yescharacteristic, complemented
119#65248C2211yescharacteristic, complemented
120#65247C2211yescharacteristic, complemented
121#65247C2211yescharacteristic, complemented
122#65247C2211yescharacteristic, complemented
123#65246C2211yescharacteristic, complemented
124#65246C2211yescharacteristic, complemented
125#65246C2211yescharacteristic, complemented
126#65246C2211yescharacteristic, complemented
127#65246C2211yescharacteristic, complemented
128#65246C2211yescharacteristic, complemented
129#65244C2211yescharacteristic
130#65244C2211yescharacteristic
131#65244C2211yescharacteristic
132#65244C2211yescharacteristic
133#65244C2211yescharacteristic
134#65244C2211yescharacteristic
135#65244C2211yescharacteristic
136#65244C2211yescharacteristic
137#65244C2211yescharacteristic
138#65244C2211yescharacteristic
139#65244C2211yescharacteristic
140#65244C2211yescharacteristic
141#65244C2211yescharacteristic
142#65244C2211yescharacteristic
143#65244C2211yescharacteristic
144#65244C2211yescharacteristic
145#65244C2211yescharacteristic
146#65244C2211yescharacteristic
147#65244C2211yescharacteristic
148#65244C2211yescharacteristic
149#65242C2211yescharacteristic, complemented
150#65242C2211yescharacteristic, complemented
151#65242C2211yescharacteristic, complemented
152#65241C2211yescharacteristic, complemented
153#65241C2211yescharacteristic, complemented
154#65240C2211yescharacteristic, complemented
155#65238C2211yescharacteristic, complemented
156#65237C2211yescharacteristic, complemented
157#65236C2211yescharacteristic, complemented
158#65235C2211yescharacteristic, complemented
159#65234C2211yescharacteristic, complemented
160#65234C2211yescharacteristic, complemented
161#65234C2211yescharacteristic, complemented
162#65233C2211yescharacteristic, complemented
163#65233C2211yescharacteristic, complemented
164#65233C2211yescharacteristic, complemented
165#65231C2211yescharacteristic, complemented
166C22⋊C4×Dic5C2211yescharacteristic, complemented
167#65229C2211yescharacteristic, complemented
168#65229C2211yescharacteristic, complemented
169#65229C2211yescharacteristic, complemented
170#65229C2211yescharacteristic, complemented
171#64965C2211yescharacteristic, complemented
172#64965C2211yescharacteristic, complemented
173#64964C2211yescharacteristic, complemented
174#64964C2211yescharacteristic, complemented
175#64963C2211yescharacteristic, complemented
176#64962C2211yescharacteristic, complemented
177#64962C2211yescharacteristic, complemented
178#64962C2211yescharacteristic, complemented
179#64959C2211yescharacteristic, complemented
180#64959C2211yescharacteristic, complemented
181#64959C2211yescharacteristic, complemented
182#64959C2211yescharacteristic, complemented
183#64958C2211yescharacteristic, complemented
184#64958C2211yescharacteristic, complemented
185#64958C2211yescharacteristic, complemented
186#64958C2211yescharacteristic, complemented
187#36725—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C24×D5—24no—
190C24×D5—42no—
191C24×D5—42no—
192C24×D5—42no—
193C24×D5—42no—
194C24×D5—42no—
195C24×D5—42no—
196C24×D5C2311yescharacteristic
197C24×D5C2311yescharacteristic
198C24×D5C2311yescharacteristic
199C24×D5C2311yescharacteristic
200C24×D5C2311yescharacteristic
201C24×D5C2311yescharacteristic
202C22×C5×D4C2311yescharacteristic
203C22×C5×D4C2311yescharacteristic
204C22×C5×D4C2311yescharacteristic
205C22×C5×D4C2311yescharacteristic
206C22×C5×D4C2311yescharacteristic
207C22×C5×D4C2311yescharacteristic
208C22×C5×D4C2311yescharacteristic, complemented
209C23×C4×C5C2311yescharacteristic
210C23×C4×C5C2311yescharacteristic
211C23×C4×C5C2311yescharacteristic, complemented
212C22×C22⋊D5C2311yescharacteristic
213C22×C22⋊D5C2311yescharacteristic
214C22×C22⋊D5C2311yescharacteristic
215C22×C22⋊D5C2311yescharacteristic
216C22×C22⋊D5C2311yescharacteristic
217C22×C22⋊D5C2311yescharacteristic
218C22×C22⋊D5C2311yescharacteristic
219C22×C22⋊D5C2311yescharacteristic
220C23×Dic5C2311yescharacteristic
221C23×Dic5C2311yescharacteristic
222C23×Dic5C2311yescharacteristic, complemented
223C22×Dic10C2311yescharacteristic, complemented
224C5×#121—42no—
225C5×#121—42no—
226C5×#120—42no—
227C5×#120—42no—
228C4×C5×D4—42no—
229C2×C5×C4⋊C4C2311yescharacteristic, complemented
230C2×C5×C4⋊C4C2311yescharacteristic, complemented
231C2×C5×C4⋊C4C2311yescharacteristic, complemented
232C2×C5×C4⋊C4C2311yescharacteristic, complemented
233C2×C5×C22⋊C4—42no—
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊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, complemented
245C2×C5×C22⋊C4C2311yescharacteristic, complemented
246C2×C5×C22⋊C4C2311yescharacteristic, complemented
247C2×C5×C22⋊C4C2311yescharacteristic, complemented
248C2×C5×C22⋊C4C2311yescharacteristic, complemented
249C2×C42×C5C2311yescharacteristic, complemented
250C2×C22⋊Dic5—42no—
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, complemented
268C2×C22⋊Dic5C2311yescharacteristic, complemented
269C2×C22⋊Dic5C2311yescharacteristic, complemented
270C2×C22⋊Dic5C2311yescharacteristic, complemented
271C2×C22⋊Dic5C2311yescharacteristic, complemented
272C2×C22⋊Dic5C2311yescharacteristic, complemented
273C2×C22⋊Dic5C2311yescharacteristic, complemented
274#4085—42no—
275#4083—24no—
276#4083—24no—
277#4083—42no—
278#4083—42no—
279#4083—42no—
280#4083—42no—
281#4083—42no—
282#4083—42no—
283#4083—42no—
284#4083—42no—
285#4083—42no—
286#4083—42no—
287#4082—42no—
288#4081—42no—
289D4×Dic5—42no—
290#4075—42no—
291C2×#685—42no—
292C2×#685—42no—
293C2×#685—42no—
294C2×#685—42no—
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×#685C2311yescharacteristic
309C2×#685C2311yescharacteristic
310C2×#685C2311yescharacteristic
311C2×#685C2311yescharacteristic
312C2×#685C2311yescharacteristic
313C2×#685C2311yescharacteristic
314C2×#685C2311yescharacteristic
315C2×#685C2311yescharacteristic
316C2×#685C2311yescharacteristic
317C2×#685C2311yescharacteristic
318C2×#685C2311yescharacteristic
319C2×#685C2311yescharacteristic
320C2×#685C2311yescharacteristic
321C2×#685C2311yescharacteristic
322C2×#685C2311yescharacteristic
323C2×#685C2311yescharacteristic
324C2×#685C2311yescharacteristic
325C2×#685C2311yescharacteristic
326C2×#685C2311yescharacteristic
327C2×#685C2311yescharacteristic
328C2×#685C2311yescharacteristic
329C2×#685C2311yescharacteristic
330C2×#685C2311yescharacteristic
331C2×#685C2311yescharacteristic
332C2×#685C2311yescharacteristic
333C2×#685C2311yescharacteristic
334C2×#685C2311yescharacteristic
335C2×C4⋊Dic5C2311yescharacteristic, complemented
336C2×C4⋊Dic5C2311yescharacteristic, complemented
337C2×C4⋊Dic5C2311yescharacteristic, complemented
338C2×C4⋊Dic5C2311yescharacteristic, complemented
339C2×#683C2311yescharacteristic, complemented
340C2×#683C2311yescharacteristic, complemented
341C2×#683C2311yescharacteristic, complemented
342C2×#683C2311yescharacteristic, complemented
343C2×#683C2311yescharacteristic, complemented
344C2×#683C2311yescharacteristic, complemented
345C2×#683C2311yescharacteristic, complemented
346C2×#683C2311yescharacteristic, complemented
347C2×#683C2311yescharacteristic, complemented
348C2×#683C2311yescharacteristic, complemented
349C2×C4×Dic5C2311yescharacteristic, complemented
350C2×C4×Dic5C2311yescharacteristic, complemented
351C2×C4×Dic5C2311yescharacteristic, complemented
352C2×C4×Dic5C2311yescharacteristic, complemented
353C2×C4×Dic5C2311yescharacteristic, complemented
354#4044—42no—
355#4031—42no—
356#4025—42no—
357#4024—42no—
358C5×#95C2311yescharacteristic, complemented
359C5×#95C2311yescharacteristic, complemented
360C5×#95C2311yescharacteristic, complemented
361C5×#95C2311yescharacteristic, complemented
362#3963C2311yescharacteristic, complemented
363#3963C2311yescharacteristic, complemented
364#3963C2311yescharacteristic, complemented
365#3963C2311yescharacteristic, complemented
366#3963C2311yescharacteristic, complemented
367#3963C2311yescharacteristic, complemented
368#3963C2311yescharacteristic, complemented
369#3963C2311yescharacteristic, complemented
370#3963C2311yescharacteristic, complemented
371#3963C2311yescharacteristic, complemented
372#3963C2311yescharacteristic, complemented
373#3963C2311yescharacteristic, complemented
374#3963C2311yescharacteristic, complemented
375#3963C2311yescharacteristic, complemented
376#3963C2311yescharacteristic, complemented
377#3963C2311yescharacteristic, complemented
378#3963C2311yescharacteristic, complemented
379#3963C2311yescharacteristic, complemented
380#3963C2311yescharacteristic, complemented
381#3963C2311yescharacteristic, complemented
382#2846—51no—
383#2846—51no—
384#2736—51no—
385#2735—51no—
386#2735—51no—
387#2735—51no—
388#2697—51no—
389#2697—51no—
390#2685—51no—
391#2685—51no—
392#2685—51no—
393#2685—51no—
394#2684—51no—
395#2684—51no—
396#2678—51no—
397#2678—51no—
398#2670—51no—
399#2668—51no—
400#2626—51no—
401#2617—51no—
402#2480—51no—
403#2480—51no—
404#2472—51no—
405#2472—51no—
406#2424—51no—
407#2424D511yescharacteristic, complemented
408#2418—51no—
409#2418—51no—
410#2321—51no—
411#2321—51no—
412C2×#379—51no—
413C24×C5—22no—
414C24×C5—22no—
415C24×C5—22no—
416C24×C5—22no—
417C24×C5—22no—
418C24×C5—41no—
419C24×C5—41no—
420C24×C5C2411yescharacteristic
421C24×C5C2411yescharacteristic
422C24×C5C2411yescharacteristic
423C24×C5C2411yescharacteristic
424C24×C5C2411yescharacteristic
425C23×D5—22no—
426C23×D5—22no—
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—22no—
430C23×D5—22no—
431C23×D5—22no—
432C23×D5—22no—
433C23×D5—22no—
434C23×D5—22no—
435C23×D5—22no—
436C23×D5—22no—
437C23×D5—22no—
438C23×D5—22no—
439C23×D5—22no—
440C23×D5—22no—
441C23×D5—22no—
442C23×D5—22no—
443C23×D5—22no—
444C23×D5—41no—
445C23×D5—41no—
446C23×D5—41no—
447C23×D5—41no—
448C23×D5—41no—
449C23×D5—41no—
450C23×D5—41no—
451C23×D5—41no—
452C23×D5—41no—
453C23×D5—41no—
454C23×D5—41no—
455C23×D5—41no—
456C23×D5—41no—
457C23×D5—41no—
458C23×D5—41no—
459C23×D5—41no—
460C23×D5—41no—
461C23×D5—41no—
462C23×D5—41no—
463C23×D5—41no—
464C23×D5—41no—
465C23×D5—41no—
466C23×D5—416no—
467C23×D5—416no—
468C23×D5—416no—
469C23×D5—416no—
470C23×D5—416no—
471C23×D5—416no—
472C23×D5—416no—
473C23×D5#4114yes—
474C23×D5C2411yescharacteristic
475C23×D5C2411yescharacteristic
476C23×D5C2411yescharacteristic
477C23×D5C2411yescharacteristic
478C2×C5×D4—22no—
479C2×C5×D4—22no—
480C2×C5×D4—22no—
481C2×C5×D4—22no—
482C2×C5×D4—22no—
483C2×C5×D4—22no—
484C2×C5×D4—22no—
485C2×C5×D4—22no—
486C2×C5×D4—22no—
487C2×C5×D4—22no—
488C2×C5×D4—41no—
489C2×C5×D4—41no—
490C2×C5×D4—41no—
491C2×C5×D4—41no—
492C2×C5×D4—41no—
493C2×C5×D4—41no—
494C2×C5×D4—41no—
495C2×C5×D4—41no—
496C2×C5×D4—41no—
497C2×C5×D4—41no—
498C2×C5×D4—41no—
499C22×C4×C5—22no—
500C22×C4×C5—22no—
501C22×C4×C5—41no—
502C22×C4×C5—41no—
503C22×C4×C5—41no—
504C22×C4×C5—41no—
505C22×C4×C5—41no—
506C22×C4×C5—41no—
507C22×C4×C5—41no—
508C22×C4×C5C2411yescharacteristic
509C22×C4×C5C2411yescharacteristic
510C22×C4×C5C2411yescharacteristic
511C22×C4×C5C2411yescharacteristic
512C22×C4×C5C2411yescharacteristic
513C22×C4×C5C2411yescharacteristic
514C22×C4×C5C2411yescharacteristic
515C22×C4×C5C2411yescharacteristic
516C22×C4×C5C2411yescharacteristic
517C22×C4×C5C2411yescharacteristic
518C2×C22⋊D5—22no—
519C2×C22⋊D5—22no—
520C2×C22⋊D5—22no—
521C2×C22⋊D5—22no—
522C2×C22⋊D5—22no—
523C2×C22⋊D5—22no—
524C2×C22⋊D5—22no—
525C2×C22⋊D5—22no—
526C2×C22⋊D5—41no—
527C2×C22⋊D5—41no—
528C2×C22⋊D5—41no—
529C2×C22⋊D5—41no—
530C2×C22⋊D5—41no—
531C2×C22⋊D5—41no—
532C2×C22⋊D5—41no—
533C2×C22⋊D5—41no—
534C2×C22⋊D5—41no—
535C2×C22⋊D5—41no—
536C2×C22⋊D5—41no—
537C2×C22⋊D5—41no—
538C2×C22⋊D5—41no—
539C2×C22⋊D5—41no—
540C2×C22⋊D5—41no—
541C2×C22⋊D5—41no—
542C22×Dic5—22no—
543C22×Dic5—22no—
544C22×Dic5—41no—
545C22×Dic5—41no—
546C22×Dic5—41no—
547C22×Dic5—41no—
548C22×Dic5—41no—
549C22×Dic5—41no—
550C22×Dic5—41no—
551C22×Dic5C2411yescharacteristic
552C22×Dic5C2411yescharacteristic
553C22×Dic5C2411yescharacteristic
554C22×Dic5C2411yescharacteristic
555C22×Dic5C2411yescharacteristic
556C22×Dic5C2411yescharacteristic
557C22×Dic5C2411yescharacteristic
558C22×Dic5C2411yescharacteristic
559C22×Dic5C2411yescharacteristic
560C22×Dic5C2411yescharacteristic
561C22×Dic5C2411yescharacteristic
562C22×Dic5C2411yescharacteristic
563C2×Dic10—41no—
564C2×Dic10—41no—
565C2×Dic10—41no—
566C5×C4⋊C4—41no—
567C5×C4⋊C4—41no—
568C5×C4⋊C4—41no—
569C5×C4⋊C4—41no—
570C5×C22⋊C4—22no—
571C5×C22⋊C4—22no—
572C5×C22⋊C4—22no—
573C5×C22⋊C4—22no—
574C5×C22⋊C4—41no—
575C5×C22⋊C4—41no—
576C5×C22⋊C4—41no—
577C5×C22⋊C4—41no—
578C5×C22⋊C4—41no—
579C5×C22⋊C4—41no—
580C5×C22⋊C4—41no—
581C5×C22⋊C4—41no—
582C5×C22⋊C4—41no—
583C5×C22⋊C4—41no—
584C5×C22⋊C4—41no—
585C42×C5—41no—
586C22⋊Dic5—22no—
587C22⋊Dic5—22no—
588C22⋊Dic5—22no—
589C22⋊Dic5—22no—
590C22⋊Dic5—22no—
591C22⋊Dic5—22no—
592C22⋊Dic5—22no—
593C22⋊Dic5—22no—
594C22⋊Dic5—22no—
595C22⋊Dic5—22no—
596C22⋊Dic5—41no—
597C22⋊Dic5—41no—
598C22⋊Dic5—41no—
599C22⋊Dic5—41no—
600C22⋊Dic5—41no—
601C22⋊Dic5—41no—
602C22⋊Dic5—41no—
603C22⋊Dic5—41no—
604C22⋊Dic5—41no—
605C22⋊Dic5—41no—
606C22⋊Dic5—41no—
607C22⋊Dic5—41no—
608C22⋊Dic5—41no—
609#685—22no—
610#685—22no—
611#685—22no—
612#685—22no—
613#685—22no—
614#685—22no—
615#685—22no—
616#685—22no—
617#685—22no—
618#685—22no—
619#685—22no—
620#685—22no—
621#685—41no—
622#685—41no—
623#685—41no—
624#685—41no—
625#685—41no—
626#685—41no—
627#685—41no—
628#685—41no—
629#685—41no—
630#685—41no—
631#685—41no—
632#685—41no—
633#685—41no—
634#685—41no—
635#685—41no—
636#685—41no—
637#685—41no—
638#685—41no—
639#685—41no—
640#685—41no—
641#685—41no—
642#685—41no—
643#685—41no—
644#685—41no—
645#685—41no—
646#685—41no—
647#685—41no—
648#685—41no—
649C4⋊Dic5—41no—
650C4⋊Dic5—41no—
651C4⋊Dic5—41no—
652C4⋊Dic5—41no—
653#683—41no—
654#683—41no—
655#683—41no—
656#683—41no—
657#683—41no—
658#683—41no—
659#683—41no—
660#683—41no—
661#683—41no—
662#683—41no—
663C4×Dic5—41no—
664C4×Dic5—41no—
665C4×Dic5—41no—
666C4×Dic5—41no—
667C4×Dic5—41no—
668C26—51no—
669C2×#126—51no—
670C2×#126—51no—
671C2×#124—51no—
672C2×#124—51no—
673C2×#123—51no—
674C2×#123—51no—
675C2×C22⋊Q8—51no—
676C2×#121—51no—
677C2×#121C2×D511yescharacteristic, complemented
678C2×#121C2×D511yescharacteristic, complemented
679C2×#120—51no—
680C2×#120—51no—
681C2×#120—51no—
682C2×#120—51no—
683C2×#120—51no—
684C2×#120—51no—
685C2×#120—51no—
686C2×#120—51no—
687C2×#120—51no—
688C2×#120—51no—
689C2×#120—51no—
690C2×#120—51no—
691C2×#120C2×D511yescharacteristic
692C2×#120C2×D511yescharacteristic
693C2×C4×D4—51no—
694C2×C4×D4C2×D511yescharacteristic, complemented
695C22×C22⋊C4—51no—
696C22×C22⋊C4—51no—
697C22×C22⋊C4—51no—
698C22×C22⋊C4—51no—
699C22×C22⋊C4—51no—
700C22×C22⋊C4C2×D511yescharacteristic
701#399—51no—
702#399—51no—
703#399—51no—
704#399—51no—
705#397—51no—
706#397—51no—
707#397—51no—
708#397—51no—
709#397—51no—
710#397—51no—
711#397—51no—
712#397—51no—
713#397—51no—
714#397—51no—
715#397—51no—
716#397—51no—
717#396—51no—
718#396—51no—
719#396—51no—
720#396—51no—
721#396—51no—
722#396—51no—
723#396—51no—
724#396C2×D511yescharacteristic, complemented
725#394—51no—
726#394—51no—
727#394—51no—
728#394—51no—
729#394—51no—
730#394—51no—
731#394—51no—
732#394—51no—
733#394—51no—
734#394—51no—
735#394—51no—
736#394—51no—
737#394—51no—
738#394—51no—
739#394C2×D511yescharacteristic, complemented
740#394C2×D511yescharacteristic, complemented
741#393—51no—
742#393—51no—
743#393—51no—
744#393—51no—
745#392—51no—
746#392—51no—
747#392—51no—
748#392C2×D511yescharacteristic, complemented
749#390—51no—
750#390—51no—
751#390—51no—
752#390—51no—
753#390—51no—
754#390—51no—
755#390—51no—
756#390C2×D511yescharacteristic, complemented
757#388—51no—
758#388—51no—
759#388—51no—
760#388—51no—
761#388—51no—
762#388—51no—
763#388—51no—
764#388—51no—
765#388—51no—
766#388—51no—
767#388—51no—
768#388—51no—
769#388—51no—
770#388—51no—
771#388—51no—
772#388—51no—
773#388—51no—
774#388—51no—
775#388—51no—
776#388—51no—
777#388—51no—
778#388—51no—
779#388—51no—
780#388C2×D511yescharacteristic, complemented
781#386—51no—
782#386—51no—
783#386—51no—
784#386—51no—
785#386—51no—
786#386—51no—
787#386—51no—
788#386—51no—
789#386—51no—
790#386—51no—
791#386C2×D511yescharacteristic, complemented
792#386C2×D511yescharacteristic, complemented
793#385—51no—
794#385—51no—
795#385—51no—
796#385C2×D511yescharacteristic, complemented
797#380—51no—
798#380—51no—
799#379—51no—
800#379—51no—
801#379—51no—
802#379—51no—
803#379—51no—
804#379—51no—
805#379—51no—
806#379—51no—
807#379—51no—
808#379—51no—
809#379—51no—
810#379—51no—
811#379—51no—
812#379—51no—
813#379—51no—
814#379—51no—
815#379—51no—
816#379—51no—
817#379—51no—
818#379—51no—
819#379—51no—
820#379—51no—
821C4×C22⋊C4—51no—
822C4×C22⋊C4—51no—
823C23×C5—21no—
824C23×C5—21no—
825C23×C5—21no—
826C23×C5—21no—
827C23×C5—28no—
828C23×C5—21no—
829C23×C5—21no—
830C23×C5—21no—
831C23×C5—21no—
832C23×C5—21no—
833C23×C5—21no—
834C23×C5—21no—
835C23×C5—21no—
836C23×C5—21no—
837C23×C5—21no—
838C23×C5—21no—
839C23×C5—21no—
840C23×C5—21no—
841C23×C5—21no—
842C23×C5—21no—
843C23×C5—21no—
844C23×C5—21no—
845C23×C5—21no—
846C23×C5—21no—
847C23×C5—21no—
848C23×C5—21no—
849C23×C5—21no—
850C23×C5—21no—
851C23×C5—21no—
852C23×C5—21no—
853C23×C5—21no—
854C23×C5—44no—
855C23×C5—44no—
856C23×C5—44no—
857C23×C5—44no—
858C23×C5—44no—
859C23×C5—44no—
860C23×C5C2×#4112yes—
861C23×C5H(5,𝔽2)12yes—
862C23×C5H(5,𝔽2)12yes—
863C23×C5H(5,𝔽2)12yes—
864C23×C5H(5,𝔽2)12yes—
865C23×C5C2511yescharacteristic
866C22×D5—28no—
867C22×D5—28no—
868C22×D5—21no—
869C22×D5—21no—
870C22×D5—21no—
871C22×D5—21no—
872C22×D5—21no—
873C22×D5—21no—
874C22×D5—21no—
875C22×D5—21no—
876C22×D5—21no—
877C22×D5—21no—
878C22×D5—21no—
879C22×D5—21no—
880C22×D5—21no—
881C22×D5—21no—
882C22×D5—21no—
883C22×D5—21no—
884C22×D5—21no—
885C22×D5—21no—
886C22×D5—21no—
887C22×D5—21no—
888C22×D5—21no—
889C22×D5—21no—
890C22×D5—21no—
891C22×D5—21no—
892C22×D5—44no—
893C22×D5—44no—
894C22×D5—44no—
895C22×D5—44no—
896C22×D5—44no—
897C22×D5—44no—
898C22×D5—44no—
899C22×D5—44no—
900C22×D5—44no—
901C22×D5—44no—
902C22×D5—44no—
903C22×D5—44no—
904C22×D5—44no—
905C22×D5—44no—
906C22×D5—44no—
907C22×D5—44no—
908C22×D5—44no—
909C22×D5—44no—
910C22×D5—44no—
911C22×D5—44no—
912C22×D5—44no—
913C22×D5—44no—
914C22×D5—44no—
915C22×D5—44no—
916C22×D5—44no—
917C22×D5—44no—
918C22×D5—44no—
919C22×D5—44no—
920C22×D5—44no—
921C22×D5—44no—
922C22×D5—44no—
923C22×D5—44no—
924C22×D5—44no—
925C22×D5—44no—
926C22×D5—44no—
927C22×D5—4128no—
928C22×D5—44no—
929C22×D5—44no—
930C22×D5—44no—
931C22×D5—44no—
932C22×D5—44no—
933C22×D5C2×#4112yes—
934C22×D5C2×#4112yes—
935C22×D5H(5,𝔽2)12yes—
936C22×D5H(5,𝔽2)12yes—
937C5×D4—44no—
938C5×D4—44no—
939C5×D4—82no—
940C5×D4—82no—
941C5×D4—82no—
942C5×D4—82no—
943C5×D4—82no—
944C2×C4×C5—21no—
945C2×C4×C5—21no—
946C2×C4×C5—21no—
947C2×C4×C5—21no—
948C2×C4×C5—21no—
949C2×C4×C5—21no—
950C2×C4×C5—21no—
951C2×C4×C5—21no—
952C2×C4×C5—21no—
953C2×C4×C5—21no—
954C2×C4×C5—21no—
955C2×C4×C5—21no—
956C2×C4×C5—21no—
957C2×C4×C5—21no—
958C2×C4×C5—21no—
959C2×C4×C5—21no—
960C2×C4×C5—21no—
961C2×C4×C5—21no—
962C2×C4×C5—21no—
963C2×C4×C5—21no—
964C2×C4×C5—21no—
965C2×C4×C5—21no—
966C2×C4×C5—21no—
967C2×C4×C5—21no—
968C2×C4×C5—21no—
969C2×C4×C5—21no—
970C2×C4×C5—21no—
971C2×C4×C5—21no—
972C2×C4×C5—21no—
973C2×C4×C5—21no—
974C2×C4×C5—82no—
975C2×C4×C5—82no—
976C2×C4×C5—82no—
977C22⋊D5—82no—
978C22⋊D5—82no—
979C22⋊D5—82no—
980C22⋊D5—82no—
981C22⋊D5—82no—
982C22⋊D5—82no—
983C22⋊D5—82no—
984C22⋊D5—82no—
985C2×Dic5—21no—
986C2×Dic5—21no—
987C2×Dic5—21no—
988C2×Dic5—21no—
989C2×Dic5—21no—
990C2×Dic5—21no—
991C2×Dic5—21no—
992C2×Dic5—21no—
993C2×Dic5—21no—
994C2×Dic5—21no—
995C2×Dic5—21no—
996C2×Dic5—21no—
997C2×Dic5—21no—
998C2×Dic5—21no—
999C2×Dic5—21no—
1000C2×Dic5—21no—
1001C2×Dic5—21no—
1002C2×Dic5—21no—
1003C2×Dic5—21no—
1004C2×Dic5—21no—
1005C2×Dic5—21no—
1006C2×Dic5—21no—
1007C2×Dic5—21no—
1008C2×Dic5—21no—
1009C2×Dic5—21no—
1010C2×Dic5—21no—
1011C2×Dic5—21no—
1012C2×Dic5—21no—
1013C2×Dic5—21no—
1014C2×Dic5—21no—
1015C2×Dic5—21no—
1016C2×Dic5—21no—
1017C2×Dic5—21no—
1018C2×Dic5—21no—
1019C2×Dic5—21no—
1020C2×Dic5—21no—
1021C2×Dic5—82no—
1022C2×Dic5—82no—
1023C2×Dic5—82no—
1024Dic10—82no—
1025C25—51no—
1026C25—51no—
1027C25—51no—
1028C25—51no—
1029C25—51no—
1030C25—51no—
1031C25—104no—
1032C25—202no—
1033C25—202no—
1034C25—202no—
1035C25—202no—
1036C25—202no—
1037C25—202no—
1038C25C22×D511yescharacteristic
1039C22×Q8—51no—
1040C22×D4—51no—
1041C22×D4—51no—
1042C22×D4—51no—
1043C22×D4—51no—
1044C22×D4—51no—
1045C22×D4—51no—
1046C22×D4—51no—
1047C22×D4—51no—
1048C22×D4C22×D511yescharacteristic
1049C22×D4C22×D511yescharacteristic
1050C22×D4C22×D511yescharacteristic
1051C22×D4C22×D511yescharacteristic
1052C22×D4C22×D511yescharacteristic
1053C22×D4C22×D511yescharacteristic
1054C22×D4C22×D511yescharacteristic, complemented
1055C23×C4—51no—
1056C23×C4—51no—
1057C23×C4—51no—
1058C23×C4C22×D511yescharacteristic
1059C23×C4C22×D511yescharacteristic
1060C23×C4C22×D511yescharacteristic, complemented
1061#126—202no—
1062#126—202no—
1063#124—202no—
1064#124—202no—
1065#123—202no—
1066#123—202no—
1067C22⋊Q8—202no—
1068#121—42no—
1069#121—42no—
1070#121—202no—
1071#120—42no—
1072#120—42no—
1073#120—104no—
1074#120—104no—
1075#120—202no—
1076#120—202no—
1077#120—202no—
1078#120—202no—
1079#120—202no—
1080#120—202no—
1081#120—202no—
1082#120—202no—
1083#120—202no—
1084#120—202no—
1085C4×D4—42no—
1086C4×D4—202no—
1087C2×C4⋊C4—51no—
1088C2×C4⋊C4—51no—
1089C2×C4⋊C4—51no—
1090C2×C4⋊C4—51no—
1091C2×C4⋊C4—51no—
1092C2×C4⋊C4—51no—
1093C2×C4⋊C4—51no—
1094C2×C4⋊C4—51no—
1095C2×C4⋊C4—51no—
1096C2×C4⋊C4—51no—
1097C2×C4⋊C4—51no—
1098C2×C4⋊C4—51no—
1099C2×C4⋊C4—51no—
1100C2×C4⋊C4—51no—
1101C2×C4⋊C4C22×D511yescharacteristic, complemented
1102C2×C4⋊C4C22×D511yescharacteristic, complemented
1103C2×C4⋊C4C22×D511yescharacteristic, complemented
1104C2×C4⋊C4C22×D511yescharacteristic, complemented
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—51no—
1107C2×C22⋊C4—51no—
1108C2×C22⋊C4—51no—
1109C2×C22⋊C4—51no—
1110C2×C22⋊C4—51no—
1111C2×C22⋊C4—51no—
1112C2×C22⋊C4—51no—
1113C2×C22⋊C4—51no—
1114C2×C22⋊C4—51no—
1115C2×C22⋊C4—51no—
1116C2×C22⋊C4—51no—
1117C2×C22⋊C4—51no—
1118C2×C22⋊C4—51no—
1119C2×C22⋊C4—51no—
1120C2×C22⋊C4—51no—
1121C2×C22⋊C4—51no—
1122C2×C22⋊C4—51no—
1123C2×C22⋊C4—51no—
1124C2×C22⋊C4—51no—
1125C2×C22⋊C4—51no—
1126C2×C22⋊C4—51no—
1127C2×C22⋊C4—51no—
1128C2×C22⋊C4—51no—
1129C2×C22⋊C4—51no—
1130C2×C22⋊C4—51no—
1131C2×C22⋊C4—51no—
1132C2×C22⋊C4—51no—
1133C2×C22⋊C4—51no—
1134C2×C22⋊C4—51no—
1135C2×C22⋊C4—51no—
1136C2×C22⋊C4—51no—
1137C2×C22⋊C4—51no—
1138C2×C22⋊C4—51no—
1139C2×C22⋊C4—51no—
1140C2×C22⋊C4—51no—
1141C2×C22⋊C4—51no—
1142C2×C22⋊C4—51no—
1143C2×C22⋊C4—51no—
1144C2×C22⋊C4—51no—
1145C2×C22⋊C4—51no—
1146C2×C22⋊C4—51no—
1147C2×C22⋊C4—51no—
1148C2×C22⋊C4—51no—
1149C2×C22⋊C4—51no—
1150C2×C22⋊C4—51no—
1151C2×C22⋊C4—51no—
1152C2×C22⋊C4—51no—
1153C2×C22⋊C4—51no—
1154C2×C22⋊C4—51no—
1155C2×C22⋊C4—51no—
1156C2×C22⋊C4—51no—
1157C2×C22⋊C4—51no—
1158C2×C22⋊C4—51no—
1159C2×C22⋊C4—51no—
1160C2×C22⋊C4—51no—
1161C2×C22⋊C4—51no—
1162C2×C22⋊C4—51no—
1163C2×C22⋊C4—51no—
1164C2×C22⋊C4—51no—
1165C2×C22⋊C4—51no—
1166C2×C22⋊C4—51no—
1167C2×C22⋊C4—51no—
1168C2×C22⋊C4—51no—
1169C2×C22⋊C4—202no—
1170C2×C22⋊C4—202no—
1171C2×C22⋊C4—202no—
1172C2×C22⋊C4—202no—
1173C2×C22⋊C4—202no—
1174C2×C22⋊C4C22×D511yescharacteristic
1175C2×C22⋊C4C22×D511yescharacteristic
1176C2×C22⋊C4C22×D511yescharacteristic
1177C2×C22⋊C4C22×D511yescharacteristic
1178C2×C22⋊C4C22×D511yescharacteristic
1179C2×C22⋊C4C22×D511yescharacteristic
1180C2×C22⋊C4C22×D511yescharacteristic
1181C2×C22⋊C4C22×D511yescharacteristic
1182C2×C22⋊C4C22×D511yescharacteristic
1183C2×C22⋊C4C22×D511yescharacteristic
1184C2×C22⋊C4C22×D511yescharacteristic, complemented
1185C2×C22⋊C4C22×D511yescharacteristic, complemented
1186C2×C22⋊C4C22×D511yescharacteristic, complemented
1187C2×C22⋊C4C22×D511yescharacteristic, complemented
1188C2×C22⋊C4C22×D511yescharacteristic, complemented
1189C2×C42—51no—
1190C2×C42—51no—
1191C2×C42—51no—
1192C2×C42—51no—
1193C2×C42—51no—
1194C2×C42C22×D511yescharacteristic, complemented
1195#95—51no—
1196#95—51no—
1197#95—51no—
1198#95—51no—
1199#95—51no—
1200#95—51no—
1201#95—51no—
1202#95—51no—
1203#95—51no—
1204#95—51no—
1205#95—51no—
1206#95—51no—
1207#95—51no—
1208#95—51no—
1209#95—51no—
1210#95—51no—
1211#95—51no—
1212#95—51no—
1213#95—51no—
1214#95—51no—
1215#95C22×D511yescharacteristic, complemented
1216#95C22×D511yescharacteristic, complemented
1217#95C22×D511yescharacteristic, complemented
1218#95C22×D511yescharacteristic, complemented
1219C22×C5—22no—
1220C22×C5—22no—
1221C22×C5—22no—
1222C22×C5—22no—
1223C22×C5—22no—
1224C22×C5—22no—
1225C22×C5—22no—
1226C22×C5—22no—
1227C22×C5—22no—
1228C22×C5—22no—
1229C22×C5—22no—
1230C22×C5—22no—
1231C22×C5—416no—
1232C22×C5—41no—
1233C22×C5—41no—
1234C22×C5—41no—
1235C22×C5—41no—
1236C22×C5—41no—
1237C22×C5—41no—
1238C22×C5—41no—
1239C22×C5—41no—
1240C22×C5—41no—
1241C22×C5—41no—
1242C22×C5—41no—
1243C22×C5—41no—
1244C22×C5—41no—
1245C22×C5—41no—
1246C22×C5—41no—
1247C22×C5—41no—
1248C22×C5—41no—
1249C22×C5—41no—
1250C22×C5—41no—
1251C22×C5—41no—
1252C22×C5—41no—
1253C22×C5—41no—
1254C22×C5#53814yes—
1255C22×C5C22×#4111yescharacteristic
1256C22×C5C2×H(5,𝔽2)11yescharacteristic
1257C22×C5C2×H(5,𝔽2)11yescharacteristic
1258C22×C5C2×H(5,𝔽2)11yescharacteristic
1259C22×C5C2×H(5,𝔽2)11yescharacteristic
1260C22×C5C2×H(5,𝔽2)11yescharacteristic
1261C22×C5C2×H(5,𝔽2)11yescharacteristic
1262C2×D5—22no—
1263C2×D5—22no—
1264C2×D5—22no—
1265C2×D5—22no—
1266C2×D5—22no—
1267C2×D5—22no—
1268C2×D5—22no—
1269C2×D5—22no—
1270C2×D5—22no—
1271C2×D5—22no—
1272C2×D5—22no—
1273C2×D5—22no—
1274C2×D5—416no—
1275C2×D5—416no—
1276C2×D5—416no—
1277C2×D5—416no—
1278C2×D5—416no—
1279C2×D5—416no—
1280C2×D5—41no—
1281C2×D5—41no—
1282C2×D5—41no—
1283C2×D5—41no—
1284C2×D5—41no—
1285C2×D5—41no—
1286C2×D5—41no—
1287C2×D5—41no—
1288C2×D5—41no—
1289C2×D5—41no—
1290C2×D5—41no—
1291C2×D5—41no—
1292C2×D5—41no—
1293C2×D5—41no—
1294C2×D5—41no—
1295C2×D5—41no—
1296C4×C5—41no—
1297C4×C5—41no—
1298C4×C5—41no—
1299C4×C5—41no—
1300C4×C5—41no—
1301C4×C5—41no—
1302C4×C5—41no—
1303C4×C5—41no—
1304C4×C5—41no—
1305C4×C5—41no—
1306Dic5—41no—
1307Dic5—41no—
1308Dic5—41no—
1309Dic5—41no—
1310Dic5—41no—
1311Dic5—41no—
1312Dic5—41no—
1313Dic5—41no—
1314Dic5—41no—
1315Dic5—41no—
1316Dic5—41no—
1317Dic5—41no—
1318C24—22no—
1319C24—22no—
1320C24—22no—
1321C24—22no—
1322C24—22no—
1323C24—41no—
1324C24—41no—
1325C24—51no—
1326C24—51no—
1327C24—51no—
1328C24—51no—
1329C24—54no—
1330C24—102no—
1331C24—102no—
1332C24—102no—
1333C24—102no—
1334C24—102no—
1335C24—102no—
1336C24—102no—
1337C24—102no—
1338C24—102no—
1339C24—102no—
1340C24—102no—
1341C24—102no—
1342C24—102no—
1343C24—102no—
1344C24—102no—
1345C24—102no—
1346C24—102no—
1347C24—102no—
1348C24—102no—
1349C24—201no—
1350C24—201no—
1351C24—201no—
1352C24—201no—
1353C24—201no—
1354C24—201no—
1355C24—201no—
1356C24—201no—
1357C24—201no—
1358C24—201no—
1359C24—201no—
1360C24—201no—
1361C24—201no—
1362C24—201no—
1363C24—201no—
1364C24—201no—
1365C24—201no—
1366C24—201no—
1367C24—201no—
1368C24—201no—
1369C24—201no—
1370C24—201no—
1371C24—2016no—
1372C24—2016no—
1373C24—2016no—
1374C24—2016no—
1375C24—2016no—
1376C24—2016no—
1377C24—2016no—
1378C24C23×D511yescharacteristic
1379C24C23×D511yescharacteristic
1380C24C23×D511yescharacteristic
1381C24C23×D511yescharacteristic
1382C24C23×D511yescharacteristic
1383C2×Q8—201no—
1384C2×Q8—201no—
1385C2×Q8—201no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—102no—
1408C2×D4—102no—
1409C2×D4—102no—
1410C2×D4—102no—
1411C2×D4—102no—
1412C2×D4—102no—
1413C2×D4—102no—
1414C2×D4—102no—
1415C2×D4—201no—
1416C2×D4—201no—
1417C2×D4—201no—
1418C2×D4—201no—
1419C2×D4—201no—
1420C2×D4—201no—
1421C2×D4—201no—
1422C2×D4—201no—
1423C2×D4—201no—
1424C2×D4—201no—
1425C2×D4—201no—
1426C2×D4—201no—
1427C2×D4—201no—
1428C2×D4—201no—
1429C2×D4—201no—
1430C2×D4—201no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—41no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—51no—
1441C22×C4—51no—
1442C22×C4—51no—
1443C22×C4—51no—
1444C22×C4—51no—
1445C22×C4—51no—
1446C22×C4—51no—
1447C22×C4—51no—
1448C22×C4—51no—
1449C22×C4—51no—
1450C22×C4—51no—
1451C22×C4—51no—
1452C22×C4—102no—
1453C22×C4—102no—
1454C22×C4—201no—
1455C22×C4—201no—
1456C22×C4—201no—
1457C22×C4—201no—
1458C22×C4—201no—
1459C22×C4—201no—
1460C22×C4—201no—
1461C22×C4C23×D511yescharacteristic
1462C22×C4C23×D511yescharacteristic
1463C22×C4C23×D511yescharacteristic
1464C22×C4C23×D511yescharacteristic
1465C22×C4C23×D511yescharacteristic
1466C22×C4C23×D511yescharacteristic
1467C22×C4C23×D511yescharacteristic
1468C22×C4C23×D511yescharacteristic
1469C22×C4C23×D511yescharacteristic
1470C22×C4C23×D511yescharacteristic
1471C4⋊C4—41no—
1472C4⋊C4—41no—
1473C4⋊C4—41no—
1474C4⋊C4—41no—
1475C4⋊C4—201no—
1476C4⋊C4—201no—
1477C4⋊C4—201no—
1478C4⋊C4—201no—
1479C4⋊C4—201no—
1480C4⋊C4—201no—
1481C4⋊C4—201no—
1482C4⋊C4—201no—
1483C4⋊C4—201no—
1484C4⋊C4—201no—
1485C4⋊C4—201no—
1486C4⋊C4—201no—
1487C4⋊C4—201no—
1488C4⋊C4—201no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—102no—
1505C22⋊C4—102no—
1506C22⋊C4—102no—
1507C22⋊C4—102no—
1508C22⋊C4—102no—
1509C22⋊C4—102no—
1510C22⋊C4—102no—
1511C22⋊C4—102no—
1512C22⋊C4—102no—
1513C22⋊C4—102no—
1514C22⋊C4—102no—
1515C22⋊C4—102no—
1516C22⋊C4—102no—
1517C22⋊C4—102no—
1518C22⋊C4—102no—
1519C22⋊C4—102no—
1520C22⋊C4—102no—
1521C22⋊C4—102no—
1522C22⋊C4—102no—
1523C22⋊C4—102no—
1524C22⋊C4—102no—
1525C22⋊C4—102no—
1526C22⋊C4—201no—
1527C22⋊C4—201no—
1528C22⋊C4—201no—
1529C22⋊C4—201no—
1530C22⋊C4—201no—
1531C22⋊C4—201no—
1532C22⋊C4—201no—
1533C22⋊C4—201no—
1534C22⋊C4—201no—
1535C22⋊C4—201no—
1536C22⋊C4—201no—
1537C22⋊C4—201no—
1538C22⋊C4—201no—
1539C22⋊C4—201no—
1540C22⋊C4—201no—
1541C22⋊C4—201no—
1542C22⋊C4—201no—
1543C22⋊C4—201no—
1544C22⋊C4—201no—
1545C22⋊C4—201no—
1546C22⋊C4—201no—
1547C22⋊C4—201no—
1548C22⋊C4—201no—
1549C22⋊C4—201no—
1550C22⋊C4—201no—
1551C22⋊C4—201no—
1552C22⋊C4—201no—
1553C22⋊C4—201no—
1554C22⋊C4—201no—
1555C22⋊C4—201no—
1556C22⋊C4—201no—
1557C22⋊C4—201no—
1558C22⋊C4—201no—
1559C22⋊C4—201no—
1560C22⋊C4—201no—
1561C22⋊C4—201no—
1562C22⋊C4—201no—
1563C22⋊C4—201no—
1564C22⋊C4—201no—
1565C22⋊C4—201no—
1566C22⋊C4—201no—
1567C42—41no—
1568C42—201no—
1569C42—201no—
1570C42—201no—
1571C42—201no—
1572C42—201no—
1573C2×C5—24no—
1574C2×C5—42no—
1575C2×C5—42no—
1576C2×C5—81no—
1577C2×C5—81no—
1578C2×C5C2×#53811yescharacteristic
1579C2×C5#349011yescharacteristic
1580C2×C5#349011yescharacteristic
1581C2×C5#353211yescharacteristic
1582C2×C5#353211yescharacteristic
1583C2×C5#353211yescharacteristic
1584C2×C5#353211yescharacteristic
1585D5—42no—
1586D5—42no—
1587D5—42no—
1588D5—42no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—28no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—44no—
1624C23—44no—
1625C23—44no—
1626C23—52no—
1627C23—52no—
1628C23—52no—
1629C23—52no—
1630C23—108no—
1631C23—108no—
1632C23—101no—
1633C23—101no—
1634C23—101no—
1635C23—101no—
1636C23—101no—
1637C23—101no—
1638C23—101no—
1639C23—101no—
1640C23—101no—
1641C23—101no—
1642C23—101no—
1643C23—101no—
1644C23—101no—
1645C23—101no—
1646C23—101no—
1647C23—101no—
1648C23—101no—
1649C23—101no—
1650C23—101no—
1651C23—101no—
1652C23—101no—
1653C23—101no—
1654C23—101no—
1655C23—101no—
1656C23—204no—
1657C23—204no—
1658C23—204no—
1659C23—204no—
1660C23—204no—
1661C23—204no—
1662C23—204no—
1663C23—204no—
1664C23—204no—
1665C23—204no—
1666C23—204no—
1667C23—204no—
1668C23—204no—
1669C23—204no—
1670C23—204no—
1671C23—204no—
1672C23—204no—
1673C23—204no—
1674C23—204no—
1675C23—204no—
1676C23—204no—
1677C23—204no—
1678C23—204no—
1679C23—204no—
1680C23—204no—
1681C23—204no—
1682C23—204no—
1683C23—204no—
1684C23—204no—
1685C23—204no—
1686C23—204no—
1687C23—204no—
1688C23—204no—
1689C23—204no—
1690C23—204no—
1691C23—20128no—
1692C23—204no—
1693C23—204no—
1694C23—204no—
1695C23—204no—
1696C23—204no—
1697C23#414412yes—
1698C23#414412yes—
1699C23#414412yes—
1700C23D5×#4112yes—
1701C23#414912yes—
1702C23C24×D511yescharacteristic
1703Q8—402no—
1704D4—44no—
1705D4—44no—
1706D4—82no—
1707D4—82no—
1708D4—82no—
1709D4—82no—
1710D4—82no—
1711D4—402no—
1712D4—402no—
1713D4—402no—
1714D4—402no—
1715D4—402no—
1716D4—402no—
1717D4—402no—
1718D4—402no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—82no—
1750C2×C4—82no—
1751C2×C4—82no—
1752C2×C4—101no—
1753C2×C4—101no—
1754C2×C4—101no—
1755C2×C4—101no—
1756C2×C4—101no—
1757C2×C4—101no—
1758C2×C4—101no—
1759C2×C4—101no—
1760C2×C4—101no—
1761C2×C4—101no—
1762C2×C4—101no—
1763C2×C4—101no—
1764C2×C4—101no—
1765C2×C4—101no—
1766C2×C4—101no—
1767C2×C4—101no—
1768C2×C4—101no—
1769C2×C4—101no—
1770C2×C4—101no—
1771C2×C4—101no—
1772C2×C4—101no—
1773C2×C4—101no—
1774C2×C4—101no—
1775C2×C4—101no—
1776C2×C4—101no—
1777C2×C4—101no—
1778C2×C4—101no—
1779C2×C4—101no—
1780C2×C4—101no—
1781C2×C4—101no—
1782C2×C4—101no—
1783C2×C4—101no—
1784C2×C4—101no—
1785C2×C4—101no—
1786C2×C4—101no—
1787C2×C4—101no—
1788C2×C4—402no—
1789C2×C4—402no—
1790C2×C4—402no—
1791C5#3672511yescharacteristic, complemented, Sylow
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—416no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—102no—
1828C22—102no—
1829C22—102no—
1830C22—102no—
1831C22—102no—
1832C22—102no—
1833C22—102no—
1834C22—102no—
1835C22—102no—
1836C22—102no—
1837C22—102no—
1838C22—102no—
1839C22—2016no—
1840C22—2016no—
1841C22—2016no—
1842C22—2016no—
1843C22—2016no—
1844C22—2016no—
1845C22—201no—
1846C22—201no—
1847C22—201no—
1848C22—201no—
1849C22—201no—
1850C22—201no—
1851C22—201no—
1852C22—201no—
1853C22—201no—
1854C22—201no—
1855C22—201no—
1856C22—201no—
1857C22—201no—
1858C22—201no—
1859C22—201no—
1860C22—201no—
1861C22#6594714yes—
1862C22C2×#414411yescharacteristic
1863C22C2×#414411yescharacteristic
1864C22C2×#414411yescharacteristic
1865C22C2×D5×#4111yescharacteristic
1866C22C2×#414911yescharacteristic
1867C22D5×H(5,𝔽2)11yescharacteristic
1868C22D5×H(5,𝔽2)11yescharacteristic
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—201no—
1880C4—201no—
1881C4—201no—
1882C4—201no—
1883C4—201no—
1884C4—201no—
1885C4—201no—
1886C4—201no—
1887C4—201no—
1888C4—201no—
1889C4—201no—
1890C4—201no—
1891C2—24no—
1892C2—42no—
1893C2—42no—
1894C2—81no—
1895C2—81no—
1896C2—202no—
1897C2—202no—
1898C2—202no—
1899C2—202no—
1900C2C2×#6594711yescharacteristic
1901C2#1061794411yescharacteristic
1902C2#1061831511yescharacteristic
1903C2#1061852311yescharacteristic
1904C2#1061852311yescharacteristic
1905C2#1061856811yescharacteristic
1906C2#1061856811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2424C2
hypercenter#2424D5
hypocenterC5#36725
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C5×#2424C2semidirect
2. #10614451C2semidirect
3. #10614444C2semidirect
4. #10614441C2semidirect
5. #10614437C2semidirect
6. #10614343C2semidirect
7. #10614343C2semidirect
8. #10614320C2semidirect
9. #10614316C2semidirect
10. #10614135C2semidirect
11. #10614126C2semidirect
12. C2×#65244C2semidirect
13. #10613843C2semidirect
14. #10609173C2semidirect
15. #10609173C2semidirect
16. #10608874C2semidirect
17. #10608873C2semidirect
18. #10608872C2semidirect
19. #10608871C2semidirect
20. #10608502C2semidirect
21. #10608497C2semidirect
22. #10608200C2semidirect
23. #10608199C2semidirect
24. #10607667C2semidirect
25. #10607666C2semidirect
26. #10606655C2semidirect
27. #10606649C2semidirect
28. #10606606C2semidirect
29. #10606458C2semidirect
30. #10606352C2semidirect
31. #10606184C2semidirect
33. C2×C5×#121C22semidirect
34. C2×C5×#121C22semidirect
37. C2×C4×C5×D4C22semidirect
40. C2×#4085C22semidirect
53. C2×#4082C22semidirect
54. C2×#4081C22semidirect
55. C2×D4×Dic5C22semidirect
56. C2×#4075C22semidirect
61. C2×#4044C22semidirect
62. C2×#4031C22semidirect
63. C2×#4025C22semidirect
64. C2×#4024C22semidirect
65. C5×#396C22semidirect
66. C5×#394C22semidirect
67. C5×#394C22semidirect
68. C5×#392C22semidirect
69. C5×#390C22semidirect
70. C5×#388C22semidirect
71. C5×#386C22semidirect
72. C5×#386C22semidirect
73. C5×#385C22semidirect
76. #65512C22semidirect
77. #65512C22semidirect
78. #65512C22semidirect
79. #65511C22semidirect
80. #65511C22semidirect
81. #65511C22semidirect
82. #65511C22semidirect
83. #65510C22semidirect
84. #65509C22semidirect
85. #65509C22semidirect
86. #65509C22semidirect
87. #65509C22semidirect
88. #65502C22semidirect
89. #65502C22semidirect
90. #65502C22semidirect
91. #65501C22semidirect
92. #65499C22semidirect
93. #65499C22semidirect
94. C4×C22⋊Dic5C22semidirect
95. #65283C22semidirect
96. #65283C22semidirect
97. #65283C22semidirect
98. #65283C22semidirect
99. #65282C22semidirect
100. #65282C22semidirect
101. #65282C22semidirect
102. #65282C22semidirect
103. #65281C22semidirect
104. #65281C22semidirect
105. #65281C22semidirect
106. #65279C22semidirect
107. #65279C22semidirect
108. #65279C22semidirect
109. #65279C22semidirect
110. #65250C22semidirect
111. #65250C22semidirect
112. #65250C22semidirect
113. #65250C22semidirect
114. #65250C22semidirect
115. #65250C22semidirect
116. #65248C22semidirect
117. #65248C22semidirect
118. #65248C22semidirect
119. #65248C22semidirect
120. #65247C22semidirect
121. #65247C22semidirect
122. #65247C22semidirect
123. #65246C22semidirect
124. #65246C22semidirect
125. #65246C22semidirect
126. #65246C22semidirect
127. #65246C22semidirect
128. #65246C22semidirect
149. #65242C22semidirect
150. #65242C22semidirect
151. #65242C22semidirect
152. #65241C22semidirect
153. #65241C22semidirect
154. #65240C22semidirect
155. #65238C22semidirect
156. #65237C22semidirect
157. #65236C22semidirect
158. #65235C22semidirect
159. #65234C22semidirect
160. #65234C22semidirect
161. #65234C22semidirect
162. #65233C22semidirect
163. #65233C22semidirect
164. #65233C22semidirect
165. #65231C22semidirect
166. C22⋊C4×Dic5C22semidirect
167. #65229C22semidirect
168. #65229C22semidirect
169. #65229C22semidirect
170. #65229C22semidirect
171. #64965C22semidirect
172. #64965C22semidirect
173. #64964C22semidirect
174. #64964C22semidirect
175. #64963C22semidirect
176. #64962C22semidirect
177. #64962C22semidirect
178. #64962C22semidirect
179. #64959C22semidirect
180. #64959C22semidirect
181. #64959C22semidirect
182. #64959C22semidirect
183. #64958C22semidirect
184. #64958C22semidirect
185. #64958C22semidirect
186. #64958C22semidirect
208. C22×C5×D4C23semidirect
211. C23×C4×C5C23semidirect
222. C23×Dic5C23semidirect
223. C22×Dic10C23semidirect
229. C2×C5×C4⋊C4C23semidirect
230. C2×C5×C4⋊C4C23semidirect
231. C2×C5×C4⋊C4C23semidirect
232. C2×C5×C4⋊C4C23semidirect
244. C2×C5×C22⋊C4C23semidirect
245. C2×C5×C22⋊C4C23semidirect
246. C2×C5×C22⋊C4C23semidirect
247. C2×C5×C22⋊C4C23semidirect
248. C2×C5×C22⋊C4C23semidirect
249. C2×C42×C5C23semidirect
267. C2×C22⋊Dic5C23semidirect
268. C2×C22⋊Dic5C23semidirect
269. C2×C22⋊Dic5C23semidirect
270. C2×C22⋊Dic5C23semidirect
271. C2×C22⋊Dic5C23semidirect
272. C2×C22⋊Dic5C23semidirect
273. C2×C22⋊Dic5C23semidirect
335. C2×C4⋊Dic5C23semidirect
336. C2×C4⋊Dic5C23semidirect
337. C2×C4⋊Dic5C23semidirect
338. C2×C4⋊Dic5C23semidirect
339. C2×#683C23semidirect
340. C2×#683C23semidirect
341. C2×#683C23semidirect
342. C2×#683C23semidirect
343. C2×#683C23semidirect
344. C2×#683C23semidirect
345. C2×#683C23semidirect
346. C2×#683C23semidirect
347. C2×#683C23semidirect
348. C2×#683C23semidirect
349. C2×C4×Dic5C23semidirect
350. C2×C4×Dic5C23semidirect
351. C2×C4×Dic5C23semidirect
352. C2×C4×Dic5C23semidirect
353. C2×C4×Dic5C23semidirect
358. C5×#95C23semidirect
359. C5×#95C23semidirect
360. C5×#95C23semidirect
361. C5×#95C23semidirect
362. #3963C23semidirect
363. #3963C23semidirect
364. #3963C23semidirect
365. #3963C23semidirect
366. #3963C23semidirect
367. #3963C23semidirect
368. #3963C23semidirect
369. #3963C23semidirect
370. #3963C23semidirect
371. #3963C23semidirect
372. #3963C23semidirect
373. #3963C23semidirect
374. #3963C23semidirect
375. #3963C23semidirect
376. #3963C23semidirect
377. #3963C23semidirect
378. #3963C23semidirect
379. #3963C23semidirect
380. #3963C23semidirect
381. #3963C23semidirect
407. #2424D5semidirect
677. C2×#121C2×D5semidirect
678. C2×#121C2×D5semidirect
694. C2×C4×D4C2×D5semidirect
724. #396C2×D5semidirect
739. #394C2×D5semidirect
740. #394C2×D5semidirect
748. #392C2×D5semidirect
756. #390C2×D5semidirect
780. #388C2×D5semidirect
791. #386C2×D5semidirect
792. #386C2×D5semidirect
796. #385C2×D5semidirect
1054. C22×D4C22×D5semidirect
1060. C23×C4C22×D5semidirect
1101. C2×C4⋊C4C22×D5semidirect
1102. C2×C4⋊C4C22×D5semidirect
1103. C2×C4⋊C4C22×D5semidirect
1104. C2×C4⋊C4C22×D5semidirect
1184. C2×C22⋊C4C22×D5semidirect
1185. C2×C22⋊C4C22×D5semidirect
1186. C2×C22⋊C4C22×D5semidirect
1187. C2×C22⋊C4C22×D5semidirect
1188. C2×C22⋊C4C22×D5semidirect
1194. C2×C42C22×D5semidirect
1215. #95C22×D5semidirect
1216. #95C22×D5semidirect
1217. #95C22×D5semidirect
1218. #95C22×D5semidirect
1791. C5#36725semidirect

Maximal subgroups

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

subgroupindex
C5×#24242
#106144512
#106144442
#106144412
#106144372
#106143432
#106143202
#106143162
#106141352
#106141262
C2×#652442
#106138432
#106091732
#106088742
#106088732
#106088722
#106088712
#106085022
#106084972
#106082002
#106081992
#106076672
#106076662
#106066552
#106066492
#106066062
#106064582
#106063522
#106061842
#367255