Finite Group Databasebeta

← #12267481

Subgroups — #12267481

Order 1280.

2992 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65983C211yesmaximal, characteristic, complemented
2C2×C4×D4×D5C211yesmaximal, characteristic, complemented
3C5×#2457C211yesmaximal, characteristic, complemented
4#10614627C211yesmaximal, characteristic, complemented
5#10614102C211yesmaximal, characteristic, complemented
6#10609866C211yesmaximal, characteristic, complemented
7#10609860C211yesmaximal, characteristic, complemented
8#10609016C211yesmaximal, characteristic, complemented
9#10609012C211yesmaximal, characteristic, complemented
10#10608636C211yesmaximal, characteristic, complemented
11#10608623C211yesmaximal, characteristic, complemented
12#10608400C211yesmaximal, characteristic
13#10608397C211yesmaximal, characteristic, complemented
14#10607272C211yesmaximal, characteristic, complemented
15#10607271C211yesmaximal, characteristic, complemented
16#10607185C211yesmaximal, characteristic, complemented
17#10607181C211yesmaximal, characteristic, complemented
18#10606734C211yesmaximal, characteristic, complemented
19#10606672C211yesmaximal, characteristic, complemented
20#10606623C211yesmaximal, characteristic, complemented
21#10606428C211yesmaximal, characteristic, complemented
22#10606426C211yesmaximal, characteristic, complemented
23#10606391C211yesmaximal, characteristic, complemented
24#10606390C211yesmaximal, characteristic, complemented
25#10606390C211yesmaximal, characteristic, complemented
26#10605799C211yesmaximal, characteristic, complemented
27#10605781C211yesmaximal, characteristic, complemented
28#10605634C211yesmaximal, characteristic, complemented
29#10605593C211yesmaximal, characteristic, complemented
30#10605320C211yesmaximal, characteristic, complemented
31C4×#4027C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×#123C2211yescharacteristic, complemented
36C2×C4×C5×D4C2211yescharacteristic
37C2×#4085C2211yescharacteristic
38C2×#4085C2211yescharacteristic
39C2×#4083C2211yescharacteristic
40C2×#4083C2211yescharacteristic
41C2×D4×Dic5C2211yescharacteristic
42C2×D4×Dic5C2211yescharacteristic, complemented
43C2×D4×Dic5C2211yescharacteristic, complemented
44C2×#4075C2211yescharacteristic, complemented
45C2×C4×C22⋊D5C2211yescharacteristic
46C2×C4×C22⋊D5C2211yescharacteristic
47C2×C4×C22⋊D5C2211yescharacteristic
48C22×C4×Dic5C2211yescharacteristic, complemented
49#65983—28no—
50C4×D4×D5—28no—
51C2×#4044C2211yescharacteristic, complemented
52C2×#4042C2211yescharacteristic
53C2×#4039C2211yescharacteristic
54C2×#4038C2211yescharacteristic, complemented
55C2×#4038C2211yescharacteristic, complemented
56C2×D5×C4⋊C4C2211yescharacteristic
57C2×#4035C2211yescharacteristic, complemented
58C2×#4033C2211yescharacteristic, complemented
59C2×#4031C2211yescharacteristic
60C2×#4031C2211yescharacteristic
61C2×#4027C2211yescharacteristic
62C2×#4027C2211yescharacteristic
63C2×#4027C2211yescharacteristic
64C2×#4027C2211yescharacteristic
65C2×#4027C2211yescharacteristic, complemented
66C2×#4027C2211yescharacteristic, complemented
67C2×D5×C22⋊C4C2211yescharacteristic
68C2×D5×C22⋊C4C2211yescharacteristic
69C2×#4025C2211yescharacteristic, complemented
70C2×#4024C2211yescharacteristic, complemented
71C2×#4023C2211yescharacteristic, complemented
72C2×#4023C2211yescharacteristic, complemented
73C2×C4×D20C2211yescharacteristic
74C2×C42×D5C2211yescharacteristic
75C5×#400C2211yescharacteristic, complemented
76C5×#396C2211yescharacteristic, complemented
77C5×#394C2211yescharacteristic
78C5×#392C2211yescharacteristic
79C5×#388C2211yescharacteristic, complemented
80C5×#388C2211yescharacteristic, complemented
81C5×#387C2211yescharacteristic, complemented
82C5×#386C2211yescharacteristic, complemented
83C5×#386C2211yescharacteristic, complemented
84C5×#386C2211yescharacteristic, complemented
85C5×#381C2211yescharacteristic, complemented
86C5×#380C2211yescharacteristic, complemented
87C4×C5×C22⋊C4C2211yescharacteristic, complemented
88#65511C2211yescharacteristic
89#65511C2211yescharacteristic
90#65511C2211yescharacteristic, complemented
91#65511C2211yescharacteristic, complemented
92#65502C2211yescharacteristic, complemented
93#65501C2211yescharacteristic, complemented
94#65500C2211yescharacteristic, complemented
95#65499C2211yescharacteristic, complemented
96#65499C2211yescharacteristic, complemented
97#65283C2211yescharacteristic, complemented
98#65281C2211yescharacteristic, complemented
99#65280C2211yescharacteristic
100#65279C2211yescharacteristic, complemented
101#65278C2211yescharacteristic
102#65276C2211yescharacteristic
103#65276C2211yescharacteristic
104#65273C2211yescharacteristic, complemented
105#65273C2211yescharacteristic, complemented
106#65272C2211yescharacteristic, complemented
107C4⋊C4×Dic5C2211yescharacteristic, complemented
108#65261C2211yescharacteristic, complemented
109#65250C2211yescharacteristic, complemented
110#65250C2211yescharacteristic, complemented
111#65249C2211yescharacteristic
112#65246C2211yescharacteristic
113#65246C2211yescharacteristic
114#65246C2211yescharacteristic
115#65246C2211yescharacteristic
116#65245C2211yescharacteristic
117#65245C2211yescharacteristic
118#65245C2211yescharacteristic, complemented
119#65245C2211yescharacteristic, complemented
120#65244C2211yescharacteristic
121#65244C2211yescharacteristic
122#65244C2211yescharacteristic
123#65244C2211yescharacteristic
124#65244C2211yescharacteristic
125#65244C2211yescharacteristic
126#65242C2211yescharacteristic, complemented
127#65242C2211yescharacteristic, complemented
128#65241C2211yescharacteristic, complemented
129#65241C2211yescharacteristic, complemented
130#65240C2211yescharacteristic, complemented
131#65238C2211yescharacteristic, complemented
132#65237C2211yescharacteristic, complemented
133#65237C2211yescharacteristic, complemented
134#65234C2211yescharacteristic, complemented
135#65233C2211yescharacteristic, complemented
136#65231C2211yescharacteristic, complemented
137C22⋊C4×Dic5C2211yescharacteristic, complemented
138C22⋊C4×Dic5C2211yescharacteristic, complemented
139C22⋊C4×Dic5C2211yescharacteristic, complemented
140C22⋊C4×Dic5C2211yescharacteristic, complemented
141C22⋊C4×Dic5C2211yescharacteristic, complemented
142C22⋊C4×Dic5C2211yescharacteristic, complemented
143#65229C2211yescharacteristic, complemented
144#65229C2211yescharacteristic, complemented
145C4×#685C2211yescharacteristic
146#65222C2211yescharacteristic, complemented
147C4×#683C2211yescharacteristic, complemented
148C42×Dic5C2211yescharacteristic, complemented
149#64964C2211yescharacteristic, complemented
150#64964C2211yescharacteristic, complemented
151#64964C2211yescharacteristic, complemented
152#64963C2211yescharacteristic, complemented
153#64961C2211yescharacteristic
154#64961C2211yescharacteristic
155#64959C2211yescharacteristic, complemented
156#64958C2211yescharacteristic, complemented
157#64957C2211yescharacteristic
158#64957C2211yescharacteristic
159#64957C2211yescharacteristic
160#64957C2211yescharacteristic, complemented
161#64957C2211yescharacteristic, complemented
162#64956C2211yescharacteristic
163#64956C2211yescharacteristic
164#64956C2211yescharacteristic
165#64956C2211yescharacteristic, complemented
166#64956C2211yescharacteristic, complemented
167#64955C2211yescharacteristic
168#64955C2211yescharacteristic
169#64955C2211yescharacteristic
170#64955C2211yescharacteristic
171#64955C2211yescharacteristic, complemented
172#64955C2211yescharacteristic, complemented
173#64955C2211yescharacteristic, complemented
174#64955C2211yescharacteristic, complemented
175#64953C2211yescharacteristic, complemented
176#64953C2211yescharacteristic, complemented
177#64950C2211yescharacteristic, complemented
178#64949C2211yescharacteristic, complemented
179#64939C2211yescharacteristic, complemented
180#64938C2211yescharacteristic, complemented
181#64938C2211yescharacteristic, complemented
182#64938C2211yescharacteristic, complemented
183#64938C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64936C2211yescharacteristic, complemented
187#64935C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#34700—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C23×Dic5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C23×Dic5C2311yescharacteristic
206C23×Dic5C2311yescharacteristic
207C2×D4×D5—24no—
208C2×D4×D5—24no—
209C2×D4×D5—24no—
210C22×D20C2311yescharacteristic
211C22×C4×D5—24no—
212C22×C4×D5—24no—
213C22×C4×D5—24no—
214C22×C4×D5—24no—
215C22×C4×D5—42no—
216C22×C4×D5—42no—
217C22×C4×D5C2311yescharacteristic
218C22×C4×D5C2311yescharacteristic
219C22×C4×D5C2311yescharacteristic
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C22×C4×D5C2311yescharacteristic
223C22×C4×D5C2311yescharacteristic
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×Dic10C2311yescharacteristic
227C5×#123—24no—
228C4×C5×D4—24no—
229C2×C5×C4⋊C4C2311yescharacteristic
230C2×C5×C4⋊C4C2311yescharacteristic
231C2×C5×C4⋊C4C2311yescharacteristic
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
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
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C42×C5C2311yescharacteristic
247C2×C42×C5C2311yescharacteristic
248C2×C22⋊Dic5C2311yescharacteristic
249C2×C22⋊Dic5C2311yescharacteristic
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
261#4085—24no—
262#4085—24no—
263#4083—24no—
264#4083—24no—
265D4×Dic5—24no—
266D4×Dic5—24no—
267D4×Dic5—42no—
268#4075—24no—
269C4×C22⋊D5—24no—
270C4×C22⋊D5—24no—
271C4×C22⋊D5—24no—
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×#685C2311yescharacteristic
297C2×C4⋊Dic5C2311yescharacteristic
298C2×C4⋊Dic5C2311yescharacteristic
299C2×C4⋊Dic5C2311yescharacteristic
300C2×C4⋊Dic5C2311yescharacteristic
301C2×C4⋊Dic5C2311yescharacteristic
302C2×C4⋊Dic5C2311yescharacteristic
303C2×#683C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×C4×Dic5—24no—
321C2×C4×Dic5C2311yescharacteristic
322C2×C4×Dic5C2311yescharacteristic
323C2×C4×Dic5C2311yescharacteristic
324C2×C4×Dic5C2311yescharacteristic
325C2×C4×Dic5C2311yescharacteristic
326C2×C4×Dic5C2311yescharacteristic
327C2×C4×Dic5C2311yescharacteristic
328C2×C4×Dic5C2311yescharacteristic
329C2×C4×Dic5C2311yescharacteristic
330C2×C4×Dic5C2311yescharacteristic
331C2×C4×Dic5C2311yescharacteristic
332C2×C4×Dic5C2311yescharacteristic
333C2×C4×Dic5C2311yescharacteristic
334C2×C4×Dic5C2311yescharacteristic
335C2×C4×Dic5C2311yescharacteristic
336#4044—24no—
337#4042—24no—
338#4039—24no—
339#4038—24no—
340#4038—42no—
341D5×C4⋊C4—24no—
342#4035—24no—
343#4033—24no—
344#4031—24no—
345#4031—24no—
346#4027—24no—
347#4027—24no—
348#4027—24no—
349#4027—24no—
350#4027—42no—
351#4027D418yescomplemented
352D5×C22⋊C4—24no—
353D5×C22⋊C4—24no—
354#4025—24no—
355#4024—24no—
356#4023—24no—
357#4023—42no—
358C4×D20—24no—
359C42×D5—24no—
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364C5×#95C2311yescharacteristic
365C5×#95C2311yescharacteristic
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
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×#529—51no—
393C22×C4×D4—51no—
394#2480—51no—
395#2480—51no—
396#2468—51no—
397#2468—51no—
398#2457—51no—
399#2457D511yescharacteristic, complemented
400#2454—51no—
401#2447—51no—
402#2442—51no—
403#2435—51no—
404#2427—51no—
405#2420—51no—
406#2418—51no—
407#2418—51no—
408#2417—51no—
409#2408—51no—
410#2395—51no—
411#2395—51no—
412#2392—51no—
413#2392—51no—
414C4×#124—51no—
415C4×C22⋊Q8—51no—
416C4×#121—51no—
417C4×#120—51no—
418C4×#120—51no—
419#2293—51no—
420#2280—51no—
421#2280—51no—
422C42×D4—51no—
423C24×C5C2411yescharacteristic
424C24×C5C2411yescharacteristic
425C24×C5C2411yescharacteristic
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—41no—
437C23×D5—41no—
438C23×D5—41no—
439C23×D5—41no—
440C23×D5C2411yescharacteristic
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—22no—
449C2×C5×D4—22no—
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—41no—
459C22×C4×C5—41no—
460C22×C4×C5—41no—
461C22×C4×C5C2411yescharacteristic
462C22×C4×C5C2411yescharacteristic
463C22×C4×C5C2411yescharacteristic
464C22×C4×C5C2411yescharacteristic
465C22×C4×C5C2411yescharacteristic
466C22×C4×C5C2411yescharacteristic
467C22×C4×C5C2411yescharacteristic
468C22×C4×C5C2411yescharacteristic
469C22×C4×C5C2411yescharacteristic
470C22×C4×C5C2411yescharacteristic
471C22×C4×C5C2411yescharacteristic
472C22×C4×C5C2411yescharacteristic
473C2×C22⋊D5—22no—
474C2×C22⋊D5—22no—
475C2×C22⋊D5—22no—
476C2×C22⋊D5—22no—
477C2×C22⋊D5—22no—
478C2×C22⋊D5—22no—
479C2×C22⋊D5—22no—
480C2×C22⋊D5—22no—
481C2×C22⋊D5—22no—
482C2×C22⋊D5—22no—
483C2×C22⋊D5—41no—
484C2×C22⋊D5—41no—
485C2×C22⋊D5C2×D414yes—
486C2×C22⋊D5#4114yes—
487C2×C22⋊D5#4114yes—
488C22×Dic5—22no—
489C22×Dic5—22no—
490C22×Dic5—22no—
491C22×Dic5—22no—
492C22×Dic5—22no—
493C22×Dic5—22no—
494C22×Dic5—22no—
495C22×Dic5—22no—
496C22×Dic5—22no—
497C22×Dic5—22no—
498C22×Dic5—22no—
499C22×Dic5C2×D414yes—
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2411yescharacteristic
502C22×Dic5C2411yescharacteristic
503C22×Dic5C2411yescharacteristic
504C22×Dic5C2411yescharacteristic
505C22×Dic5C2411yescharacteristic
506C22×Dic5C2411yescharacteristic
507C22×Dic5C2411yescharacteristic
508C22×Dic5C2411yescharacteristic
509C22×Dic5C2411yescharacteristic
510C22×Dic5C2411yescharacteristic
511C22×Dic5C2411yescharacteristic
512C22×Dic5C2411yescharacteristic
513D4×D5—232no—
514C2×D20—22no—
515C2×D20—22no—
516C2×D20—22no—
517C2×C4×D5—22no—
518C2×C4×D5—22no—
519C2×C4×D5—22no—
520C2×C4×D5—22no—
521C2×C4×D5—22no—
522C2×C4×D5—22no—
523C2×C4×D5—22no—
524C2×C4×D5—22no—
525C2×C4×D5—22no—
526C2×C4×D5—22no—
527C2×C4×D5—22no—
528C2×C4×D5—22no—
529C2×C4×D5—22no—
530C2×C4×D5—22no—
531C2×C4×D5—22no—
532C2×C4×D5—22no—
533C2×C4×D5—22no—
534C2×C4×D5—22no—
535C2×C4×D5—22no—
536C2×C4×D5—416no—
537C2×C4×D5—416no—
538C2×C4×D5—41no—
539C2×C4×D5—41no—
540C2×C4×D5—41no—
541C2×C4×D5—41no—
542C2×C4×D5—41no—
543C2×C4×D5C2×D414yes—
544C2×C4×D5#4114yes—
545C2×C4×D5#4114yes—
546C2×Dic10—22no—
547C2×Dic10—22no—
548C2×Dic10—22no—
549C5×C4⋊C4—22no—
550C5×C4⋊C4—22no—
551C5×C4⋊C4—22no—
552C5×C4⋊C4—22no—
553C5×C4⋊C4—41no—
554C5×C22⋊C4—22no—
555C5×C22⋊C4—22no—
556C5×C22⋊C4—22no—
557C5×C22⋊C4—22no—
558C5×C22⋊C4—22no—
559C5×C22⋊C4—22no—
560C5×C22⋊C4—41no—
561C5×C22⋊C4—41no—
562C5×C22⋊C4—41no—
563C5×C22⋊C4—41no—
564C5×C22⋊C4—41no—
565C5×C22⋊C4C2×D414yes—
566C42×C5—22no—
567C42×C5—41no—
568C22⋊Dic5—22no—
569C22⋊Dic5—22no—
570C22⋊Dic5—22no—
571C22⋊Dic5—22no—
572C22⋊Dic5—22no—
573C22⋊Dic5—22no—
574C22⋊Dic5—22no—
575C22⋊Dic5—22no—
576C22⋊Dic5—22no—
577C22⋊Dic5—22no—
578C22⋊Dic5—41no—
579C22⋊Dic5—41no—
580C22⋊Dic5—41no—
581#685—22no—
582#685—22no—
583#685—22no—
584#685—22no—
585#685—22no—
586#685—22no—
587#685—22no—
588#685—22no—
589#685—22no—
590#685—22no—
591#685—22no—
592#685—22no—
593#685—22no—
594#685—22no—
595#685—22no—
596#685—22no—
597#685—22no—
598#685—22no—
599#685—41no—
600#685—41no—
601#685—41no—
602#685—41no—
603#685—41no—
604#685—41no—
605#685C2×D414yes—
606C4⋊Dic5—22no—
607C4⋊Dic5—22no—
608C4⋊Dic5—22no—
609C4⋊Dic5—41no—
610C4⋊Dic5—41no—
611C4⋊Dic5—41no—
612#683—22no—
613#683—22no—
614#683—22no—
615#683—22no—
616#683—22no—
617#683—22no—
618#683—22no—
619#683—22no—
620#683—22no—
621#683—22no—
622#683—22no—
623#683—22no—
624#683—41no—
625#683—41no—
626#683—41no—
627#683—41no—
628#683C2×D414yes—
629C4×Dic5—22no—
630C4×Dic5—22no—
631C4×Dic5—22no—
632C4×Dic5—22no—
633C4×Dic5—22no—
634C4×Dic5—22no—
635C4×Dic5—22no—
636C4×Dic5—22no—
637C4×Dic5—22no—
638C4×Dic5—22no—
639C4×Dic5—22no—
640C4×Dic5—22no—
641C4×Dic5—22no—
642C4×Dic5—22no—
643C4×Dic5C2×D414yes—
644C23×D4—51no—
645C24×C4—51no—
646C24×C4—51no—
647#529—108no—
648C2×#126—51no—
649C2×#126—51no—
650C2×#125—51no—
651C2×#124—51no—
652C2×#124—51no—
653C2×#123—51no—
654C2×#123C2×D511yescharacteristic, complemented
655C2×C22⋊Q8—51no—
656C2×C22⋊Q8—51no—
657C2×#121—51no—
658C2×#121—51no—
659C2×#120—51no—
660C2×#120—51no—
661C2×C4×Q8—51no—
662C2×C4×D4—51no—
663C2×C4×D4—51no—
664C2×C4×D4—51no—
665C2×C4×D4—51no—
666C2×C4×D4—51no—
667C2×C4×D4—51no—
668C2×C4×D4—51no—
669C2×C4×D4—51no—
670C2×C4×D4—51no—
671C2×C4×D4—51no—
672C2×C4×D4—51no—
673C2×C4×D4—51no—
674C2×C4×D4—51no—
675C2×C4×D4—51no—
676C2×C4×D4—108no—
677C2×C4×D4C2×D511yescharacteristic
678C2×#117—51no—
679C2×#117—51no—
680C2×#117—51no—
681C2×#117—51no—
682C22×C4⋊C4—51no—
683C22×C22⋊C4—51no—
684C22×C22⋊C4—51no—
685C22×C42—51no—
686C22×C42—51no—
687#400—51no—
688#400C2×D511yescharacteristic, complemented
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#397—51no—
702#397—51no—
703#396—51no—
704#396—51no—
705#396—51no—
706#396C2×D511yescharacteristic, complemented
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#394C2×D511yescharacteristic
717#392—51no—
718#392C2×D511yescharacteristic
719#391—51no—
720#391—51no—
721#390—51no—
722#390—51no—
723#390—51no—
724#390—51no—
725#389—51no—
726#389—51no—
727#389—51no—
728#389—51no—
729#388—51no—
730#388—51no—
731#388—51no—
732#388—51no—
733#388—51no—
734#388—51no—
735#388—51no—
736#388—51no—
737#388C2×D511yescharacteristic, complemented
738#388C2×D511yescharacteristic, complemented
739#387—51no—
740#387C2×D511yescharacteristic, complemented
741#386—51no—
742#386—51no—
743#386—51no—
744#386—51no—
745#386—51no—
746#386C2×D511yescharacteristic, complemented
747#386C2×D511yescharacteristic, complemented
748#386C2×D511yescharacteristic, complemented
749#385—51no—
750#385—51no—
751#385—51no—
752#385—51no—
753#385—51no—
754#385—51no—
755#385—51no—
756#385—51no—
757#382—51no—
758#381—51no—
759#381—51no—
760#381—51no—
761#381C2×D511yescharacteristic, complemented
762#380—51no—
763#380—51no—
764#380—51no—
765#380—51no—
766#380—51no—
767#380—51no—
768#380—51no—
769#380—51no—
770#380—51no—
771#380C2×D511yescharacteristic, complemented
772#379—51no—
773#379—51no—
774#379—51no—
775#379—51no—
776#379—51no—
777#379—51no—
778C4×C4⋊C4—51no—
779C4×C4⋊C4—51no—
780C4×C4⋊C4—51no—
781C4×C4⋊C4—51no—
782C4×C4⋊C4—51no—
783C4×C4⋊C4—51no—
784C4×C22⋊C4—51no—
785C4×C22⋊C4—51no—
786C4×C22⋊C4—51no—
787C4×C22⋊C4—51no—
788C4×C22⋊C4—51no—
789C4×C22⋊C4—51no—
790C4×C22⋊C4—51no—
791C4×C22⋊C4—51no—
792C4×C22⋊C4—51no—
793C4×C22⋊C4—51no—
794C4×C22⋊C4—51no—
795C4×C22⋊C4—51no—
796C4×C22⋊C4—51no—
797C4×C22⋊C4—51no—
798C4×C22⋊C4—51no—
799C4×C22⋊C4C2×D511yescharacteristic, complemented
800C43—51no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—21no—
810C23×C5—21no—
811C23×C5—21no—
812C23×C5—21no—
813C23×C5—21no—
814C23×C5—21no—
815C23×C5—21no—
816C23×C5—21no—
817C23×C5—21no—
818C23×C5—21no—
819C23×C5C22×D412yes—
820C23×C5C2×#4112yes—
821C23×C5C2×#4112yes—
822C23×C5C2511yescharacteristic
823C22×D5—21no—
824C22×D5—21no—
825C22×D5—21no—
826C22×D5—21no—
827C22×D5—28no—
828C22×D5—28no—
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—21no—
834C22×D5—21no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—21no—
841C22×D5—44no—
842C22×D5—44no—
843C22×D5—44no—
844C22×D5—44no—
845C22×D5—44no—
846C22×D5—44no—
847C22×D5—44no—
848C22×D5—44no—
849C22×D5—44no—
850C22×D5—44no—
851C22×D5—44no—
852C22×D5—44no—
853C22×D5C22×D412yes—
854C22×D5C2×#4112yes—
855C22×D5C2×#4112yes—
856C22×D5C2×#4112yes—
857C22×D5C2×#4112yes—
858C5×D4—28no—
859C5×D4—44no—
860C5×D4—44no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—21no—
868C2×C4×C5—21no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—21no—
872C2×C4×C5—21no—
873C2×C4×C5—21no—
874C2×C4×C5—21no—
875C2×C4×C5—21no—
876C2×C4×C5—21no—
877C2×C4×C5—21no—
878C2×C4×C5—21no—
879C2×C4×C5—21no—
880C2×C4×C5—21no—
881C2×C4×C5—21no—
882C2×C4×C5—21no—
883C2×C4×C5—21no—
884C2×C4×C5—21no—
885C2×C4×C5—21no—
886C2×C4×C5—21no—
887C2×C4×C5—21no—
888C2×C4×C5—21no—
889C2×C4×C5—21no—
890C2×C4×C5—21no—
891C2×C4×C5—21no—
892C2×C4×C5—21no—
893C2×C4×C5—44no—
894C2×C4×C5—44no—
895C2×C4×C5—44no—
896C2×C4×C5C22×D412yes—
897C2×C4×C5C22×D412yes—
898C2×C4×C5C2×#4112yes—
899C2×C4×C5C2×#4112yes—
900C22⋊D5—28no—
901C22⋊D5—28no—
902C22⋊D5—28no—
903C22⋊D5—44no—
904C22⋊D5—44no—
905C2×Dic5—21no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—21no—
909C2×Dic5—28no—
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—44no—
938C2×Dic5—44no—
939C2×Dic5—44no—
940C2×Dic5C22×D412yes—
941C2×Dic5C22×D412yes—
942C2×Dic5C22×D412yes—
943C2×Dic5C2×#4112yes—
944C2×Dic5C2×#4112yes—
945C2×Dic5C2×#4112yes—
946C2×Dic5C2×#4112yes—
947C2×Dic5H(5,𝔽2)12yes—
948D20—28no—
949C4×D5—28no—
950C4×D5—28no—
951C4×D5—28no—
952C4×D5—44no—
953C4×D5—44no—
954C4×D5—44no—
955C4×D5—44no—
956C4×D5—44no—
957C4×D5—44no—
958Dic10—44no—
959C25—51no—
960C25—51no—
961C22×Q8—51no—
962C22×D4—51no—
963C22×D4—51no—
964C22×D4—51no—
965C22×D4—51no—
966C22×D4—51no—
967C22×D4—51no—
968C22×D4—104no—
969C22×D4—104no—
970C22×D4—104no—
971C22×D4C22×D511yescharacteristic
972C22×D4C22×D511yescharacteristic
973C22×D4C22×D511yescharacteristic
974C23×C4—51no—
975C23×C4—51no—
976C23×C4—51no—
977C23×C4—51no—
978C23×C4—51no—
979C23×C4—51no—
980C23×C4—51no—
981C23×C4—51no—
982C23×C4—51no—
983C23×C4—51no—
984C23×C4—51no—
985C23×C4—51no—
986C23×C4—51no—
987C23×C4—104no—
988C23×C4—104no—
989C23×C4—104no—
990C23×C4—104no—
991C23×C4—202no—
992C23×C4—202no—
993C23×C4C22×D511yescharacteristic
994C23×C4C22×D511yescharacteristic
995C23×C4C22×D511yescharacteristic
996#126—104no—
997#126—104no—
998#125—104no—
999#124—104no—
1000#124—104no—
1001#123—24no—
1002#123—104no—
1003C22⋊Q8—104no—
1004C22⋊Q8—104no—
1005#121—104no—
1006#121—104no—
1007#120—104no—
1008#120—104no—
1009C4×Q8—104no—
1010C4×D4—24no—
1011C4×D4—58no—
1012C4×D4—104no—
1013C4×D4—104no—
1014C4×D4—104no—
1015C4×D4—104no—
1016C4×D4—104no—
1017C4×D4—104no—
1018C4×D4—104no—
1019C4×D4—104no—
1020C4×D4—104no—
1021C4×D4—104no—
1022C4×D4—104no—
1023C4×D4—202no—
1024C4×D4—202no—
1025#117—104no—
1026#117—104no—
1027#117—202no—
1028#117—202no—
1029C2×C4⋊C4—51no—
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—104no—
1053C2×C4⋊C4C22×D511yescharacteristic
1054C2×C4⋊C4C22×D511yescharacteristic
1055C2×C4⋊C4C22×D511yescharacteristic
1056C2×C4⋊C4C22×D511yescharacteristic
1057C2×C4⋊C4C22×D511yescharacteristic
1058C2×C22⋊C4—51no—
1059C2×C22⋊C4—51no—
1060C2×C22⋊C4—51no—
1061C2×C22⋊C4—51no—
1062C2×C22⋊C4—51no—
1063C2×C22⋊C4—51no—
1064C2×C22⋊C4—51no—
1065C2×C22⋊C4—51no—
1066C2×C22⋊C4—51no—
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—104no—
1097C2×C22⋊C4—104no—
1098C2×C22⋊C4C22×D511yescharacteristic
1099C2×C22⋊C4C22×D511yescharacteristic
1100C2×C22⋊C4C22×D511yescharacteristic
1101C2×C22⋊C4C22×D511yescharacteristic
1102C2×C22⋊C4C22×D511yescharacteristic
1103C2×C22⋊C4C22×D511yescharacteristic
1104C2×C22⋊C4C22×D511yescharacteristic
1105C2×C22⋊C4C22×D511yescharacteristic
1106C2×C22⋊C4C22×D511yescharacteristic
1107C2×C22⋊C4C22×D511yescharacteristic
1108C2×C22⋊C4C22×D511yescharacteristic
1109C2×C22⋊C4C22×D511yescharacteristic
1110C2×C42—51no—
1111C2×C42—51no—
1112C2×C42—51no—
1113C2×C42—51no—
1114C2×C42—51no—
1115C2×C42—51no—
1116C2×C42—51no—
1117C2×C42—51no—
1118C2×C42—51no—
1119C2×C42—51no—
1120C2×C42—51no—
1121C2×C42—51no—
1122C2×C42—51no—
1123C2×C42—51no—
1124C2×C42—51no—
1125C2×C42—104no—
1126C2×C42—104no—
1127C2×C42C22×D511yescharacteristic
1128C2×C42C22×D511yescharacteristic
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#95C22×D511yescharacteristic
1152#95C22×D511yescharacteristic
1153#95C22×D511yescharacteristic
1154#95C22×D511yescharacteristic
1155#95C22×D511yescharacteristic
1156#95C22×D511yescharacteristic
1157#95C22×D511yescharacteristic
1158#95C22×D511yescharacteristic
1159#95C22×D511yescharacteristic
1160#95C22×D511yescharacteristic
1161C22×C5—22no—
1162C22×C5—22no—
1163C22×C5—22no—
1164C22×C5—22no—
1165C22×C5—22no—
1166C22×C5—22no—
1167C22×C5—22no—
1168C22×C5—22no—
1169C22×C5—22no—
1170C22×C5—41no—
1171C22×C5—41no—
1172C22×C5—41no—
1173C22×C5—41no—
1174C22×C5—41no—
1175C22×C5—41no—
1176C22×C5—41no—
1177C22×C5—41no—
1178C22×C5—41no—
1179C22×C5—41no—
1180C22×C5—41no—
1181C22×C5—41no—
1182C22×C5C23×D411yescharacteristic
1183C22×C5C22×#4111yescharacteristic
1184C22×C5C22×#4111yescharacteristic
1185C22×C5C22×#4111yescharacteristic
1186C22×C5C22×#4111yescharacteristic
1187C22×C5C2×H(5,𝔽2)11yescharacteristic
1188C22×C5#58511yescharacteristic
1189C2×D5—22no—
1190C2×D5—22no—
1191C2×D5—22no—
1192C2×D5—22no—
1193C2×D5—22no—
1194C2×D5—22no—
1195C2×D5—22no—
1196C2×D5—22no—
1197C2×D5—22no—
1198C2×D5—22no—
1199C2×D5—22no—
1200C2×D5—22no—
1201C2×D5—416no—
1202C2×D5—416no—
1203C2×D5—41no—
1204C2×D5—41no—
1205C2×D5—41no—
1206C2×D5—41no—
1207C2×D5—41no—
1208C2×D5—41no—
1209C2×D5—41no—
1210C2×D5—41no—
1211C2×D5#52914yescomplemented
1212C4×C5—22no—
1213C4×C5—22no—
1214C4×C5—22no—
1215C4×C5—22no—
1216C4×C5—41no—
1217C4×C5—41no—
1218C4×C5—41no—
1219C4×C5—41no—
1220C4×C5—41no—
1221C4×C5—41no—
1222C4×C5—41no—
1223C4×C5—41no—
1224Dic5—22no—
1225Dic5—22no—
1226Dic5—41no—
1227Dic5—41no—
1228Dic5—41no—
1229Dic5—41no—
1230Dic5—41no—
1231Dic5—41no—
1232Dic5—41no—
1233Dic5—41no—
1234Dic5—41no—
1235Dic5#52514yes—
1236Dic5#54614yes—
1237C24—51no—
1238C24—51no—
1239C24—51no—
1240C24—102no—
1241C24—102no—
1242C24—102no—
1243C24—102no—
1244C24—102no—
1245C24—102no—
1246C24—102no—
1247C24—102no—
1248C24—102no—
1249C24—102no—
1250C24—201no—
1251C24—201no—
1252C24—201no—
1253C24—201no—
1254C24C23×D511yescharacteristic
1255C24C23×D511yescharacteristic
1256C24C23×D511yescharacteristic
1257C2×Q8—102no—
1258C2×Q8—102no—
1259C2×Q8—102no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—54no—
1270C2×D4—54no—
1271C2×D4—54no—
1272C2×D4—102no—
1273C2×D4—102no—
1274C2×D4—102no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—102no—
1278C2×D4—1032no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—102no—
1282C2×D4—102no—
1283C2×D4—102no—
1284C2×D4—102no—
1285C2×D4—102no—
1286C2×D4—201no—
1287C2×D4—201no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—51no—
1298C22×C4—51no—
1299C22×C4—54no—
1300C22×C4—51no—
1301C22×C4—51no—
1302C22×C4—54no—
1303C22×C4—54no—
1304C22×C4—54no—
1305C22×C4—51no—
1306C22×C4—51no—
1307C22×C4—51no—
1308C22×C4—51no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—51no—
1312C22×C4—51no—
1313C22×C4—51no—
1314C22×C4—102no—
1315C22×C4—102no—
1316C22×C4—102no—
1317C22×C4—102no—
1318C22×C4—102no—
1319C22×C4—102no—
1320C22×C4—102no—
1321C22×C4—102no—
1322C22×C4—102no—
1323C22×C4—102no—
1324C22×C4—102no—
1325C22×C4—102no—
1326C22×C4—102no—
1327C22×C4—102no—
1328C22×C4—102no—
1329C22×C4—102no—
1330C22×C4—102no—
1331C22×C4—102no—
1332C22×C4—102no—
1333C22×C4—102no—
1334C22×C4—102no—
1335C22×C4—102no—
1336C22×C4—102no—
1337C22×C4—102no—
1338C22×C4—102no—
1339C22×C4—102no—
1340C22×C4—102no—
1341C22×C4—102no—
1342C22×C4—102no—
1343C22×C4—102no—
1344C22×C4—201no—
1345C22×C4—201no—
1346C22×C4—201no—
1347C22×C4—201no—
1348C22×C4—201no—
1349C22×C4—2016no—
1350C22×C4—2016no—
1351C22×C4C23×D511yescharacteristic
1352C22×C4C23×D511yescharacteristic
1353C22×C4C23×D511yescharacteristic
1354C22×C4C23×D511yescharacteristic
1355C22×C4C23×D511yescharacteristic
1356C22×C4C23×D511yescharacteristic
1357C22×C4C23×D511yescharacteristic
1358C22×C4C23×D511yescharacteristic
1359C22×C4C23×D511yescharacteristic
1360C22×C4C23×D511yescharacteristic
1361C22×C4C23×D511yescharacteristic
1362C22×C4C23×D511yescharacteristic
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—41no—
1368C4⋊C4—54no—
1369C4⋊C4—102no—
1370C4⋊C4—102no—
1371C4⋊C4—102no—
1372C4⋊C4—102no—
1373C4⋊C4—102no—
1374C4⋊C4—102no—
1375C4⋊C4—102no—
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—201no—
1385C4⋊C4—201no—
1386C4⋊C4—201no—
1387C4⋊C4—201no—
1388C4⋊C4—201no—
1389C4⋊C4—201no—
1390C4⋊C4—201no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—54no—
1403C22⋊C4—102no—
1404C22⋊C4—102no—
1405C22⋊C4—102no—
1406C22⋊C4—102no—
1407C22⋊C4—102no—
1408C22⋊C4—102no—
1409C22⋊C4—102no—
1410C22⋊C4—102no—
1411C22⋊C4—102no—
1412C22⋊C4—102no—
1413C22⋊C4—102no—
1414C22⋊C4—102no—
1415C22⋊C4—102no—
1416C22⋊C4—102no—
1417C22⋊C4—102no—
1418C22⋊C4—102no—
1419C22⋊C4—102no—
1420C22⋊C4—102no—
1421C22⋊C4—102no—
1422C22⋊C4—102no—
1423C22⋊C4—102no—
1424C22⋊C4—102no—
1425C22⋊C4—102no—
1426C22⋊C4—102no—
1427C22⋊C4—102no—
1428C22⋊C4—102no—
1429C22⋊C4—102no—
1430C22⋊C4—102no—
1431C22⋊C4—201no—
1432C22⋊C4—201no—
1433C22⋊C4—201no—
1434C22⋊C4—201no—
1435C22⋊C4—201no—
1436C22⋊C4—201no—
1437C22⋊C4—201no—
1438C22⋊C4—201no—
1439C22⋊C4—201no—
1440C22⋊C4D4×D514yes—
1441C42—22no—
1442C42—41no—
1443C42—54no—
1444C42—102no—
1445C42—102no—
1446C42—102no—
1447C42—102no—
1448C42—102no—
1449C42—102no—
1450C42—102no—
1451C42—102no—
1452C42—102no—
1453C42—102no—
1454C42—102no—
1455C42—102no—
1456C42—102no—
1457C42—102no—
1458C2×C5—42no—
1459C2×C5—42no—
1460C2×C5—42no—
1461C2×C5C2×#52511yescharacteristic
1462C2×C5C2×#52911yescharacteristic
1463C2×C5#346011yescharacteristic
1464C2×C5C2×#54611yescharacteristic
1465C2×C5D4×#4111yescharacteristic
1466C2×C5#347511yescharacteristic
1467C2×C5#348111yescharacteristic
1468D5—24no—
1469D5—42no—
1470D5—42no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—52no—
1490C23—52no—
1491C23—52no—
1492C23—52no—
1493C23—52no—
1494C23—108no—
1495C23—108no—
1496C23—101no—
1497C23—101no—
1498C23—101no—
1499C23—101no—
1500C23—101no—
1501C23—101no—
1502C23—101no—
1503C23—101no—
1504C23—101no—
1505C23—101no—
1506C23—101no—
1507C23—101no—
1508C23—101no—
1509C23—101no—
1510C23—101no—
1511C23—101no—
1512C23—204no—
1513C23—204no—
1514C23—204no—
1515C23—204no—
1516C23—204no—
1517C23—204no—
1518C23—204no—
1519C23—204no—
1520C23—204no—
1521C23—204no—
1522C23—204no—
1523C23—204no—
1524C23C2×D4×D512yes—
1525C23D5×#4112yes—
1526C23D5×#4112yes—
1527C23C24×D511yescharacteristic
1528Q8—204no—
1529D4—28no—
1530D4—44no—
1531D4—44no—
1532D4—108no—
1533D4—108no—
1534D4—108no—
1535D4—108no—
1536D4—204no—
1537D4—204no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—52no—
1574C2×C4—52no—
1575C2×C4—52no—
1576C2×C4—52no—
1577C2×C4—52no—
1578C2×C4—52no—
1579C2×C4—52no—
1580C2×C4—52no—
1581C2×C4—108no—
1582C2×C4—108no—
1583C2×C4—108no—
1584C2×C4—108no—
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—204no—
1617C2×C4—204no—
1618C2×C4—204no—
1619C2×C4—204no—
1620C2×C4—204no—
1621C2×C4—204no—
1622C2×C4—204no—
1623C2×C4—204no—
1624C2×C4—204no—
1625C2×C4C2×D4×D512yes—
1626C2×C4C2×D4×D512yes—
1627C2×C4D5×#4112yes—
1628C2×C4D5×#4112yes—
1629C5#3470011yescharacteristic, complemented, Sylow
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—54no—
1652C22—102no—
1653C22—102no—
1654C22—102no—
1655C22—102no—
1656C22—102no—
1657C22—102no—
1658C22—102no—
1659C22—102no—
1660C22—102no—
1661C22—102no—
1662C22—102no—
1663C22—102no—
1664C22—2016no—
1665C22—2016no—
1666C22—201no—
1667C22—201no—
1668C22—201no—
1669C22—201no—
1670C22—201no—
1671C22—201no—
1672C22—201no—
1673C22—201no—
1674C22C22×D4×D511yescharacteristic
1675C22C2×D5×#4111yescharacteristic
1676C22C2×D5×#4111yescharacteristic
1677C22C2×D5×#4111yescharacteristic
1678C22C2×D5×#4111yescharacteristic
1679C22D5×H(5,𝔽2)11yescharacteristic
1680C22#6628511yescharacteristic
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—54no—
1694C4—54no—
1695C4—102no—
1696C4—102no—
1697C4—201no—
1698C4—201no—
1699C4—201no—
1700C4—201no—
1701C4—201no—
1702C4—201no—
1703C4—201no—
1704C4—201no—
1705C4—201no—
1706C2—42no—
1707C2—42no—
1708C2—42no—
1709C2—104no—
1710C2—202no—
1711C2—202no—
1712C2D5×#52511yescharacteristic
1713C2D5×#52911yescharacteristic
1714C2#1061836911yescharacteristic
1715C2#1061852711yescharacteristic
1716C2D5×#54611yescharacteristic
1717C2#1061869211yescharacteristic
1718C2#1061877511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2457C2
prime radical#10608400C2
hypercenter#2457D5
hypocenterC5#34700
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2457

Complements

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

NH ≅ G/Ntype
1. C2×#65983C2semidirect
2. C2×C4×D4×D5C2semidirect
3. C5×#2457C2semidirect
4. #10614627C2semidirect
5. #10614102C2semidirect
6. #10609866C2semidirect
7. #10609860C2semidirect
8. #10609016C2semidirect
9. #10609012C2semidirect
10. #10608636C2semidirect
11. #10608623C2semidirect
13. #10608397C2semidirect
14. #10607272C2semidirect
15. #10607271C2semidirect
16. #10607185C2semidirect
17. #10607181C2semidirect
18. #10606734C2semidirect
19. #10606672C2semidirect
20. #10606623C2semidirect
21. #10606428C2semidirect
22. #10606426C2semidirect
23. #10606391C2semidirect
24. #10606390C2semidirect
25. #10606390C2semidirect
26. #10605799C2semidirect
27. #10605781C2semidirect
28. #10605634C2semidirect
29. #10605593C2semidirect
30. #10605320C2semidirect
31. C4×#4027C2semidirect
35. C2×C5×#123C22semidirect
42. C2×D4×Dic5C22semidirect
43. C2×D4×Dic5C22semidirect
44. C2×#4075C22semidirect
48. C22×C4×Dic5C22semidirect
51. C2×#4044C22semidirect
54. C2×#4038C22semidirect
55. C2×#4038C22semidirect
57. C2×#4035C22semidirect
58. C2×#4033C22semidirect
65. C2×#4027C22semidirect
66. C2×#4027C22semidirect
69. C2×#4025C22semidirect
70. C2×#4024C22semidirect
71. C2×#4023C22semidirect
72. C2×#4023C22semidirect
75. C5×#400C22semidirect
76. C5×#396C22semidirect
79. C5×#388C22semidirect
80. C5×#388C22semidirect
81. C5×#387C22semidirect
82. C5×#386C22semidirect
83. C5×#386C22semidirect
84. C5×#386C22semidirect
85. C5×#381C22semidirect
86. C5×#380C22semidirect
87. C4×C5×C22⋊C4C22semidirect
90. #65511C22semidirect
91. #65511C22semidirect
92. #65502C22semidirect
93. #65501C22semidirect
94. #65500C22semidirect
95. #65499C22semidirect
96. #65499C22semidirect
97. #65283C22semidirect
98. #65281C22semidirect
100. #65279C22semidirect
104. #65273C22semidirect
105. #65273C22semidirect
106. #65272C22semidirect
107. C4⋊C4×Dic5C22semidirect
108. #65261C22semidirect
109. #65250C22semidirect
110. #65250C22semidirect
118. #65245C22semidirect
119. #65245C22semidirect
126. #65242C22semidirect
127. #65242C22semidirect
128. #65241C22semidirect
129. #65241C22semidirect
130. #65240C22semidirect
131. #65238C22semidirect
132. #65237C22semidirect
133. #65237C22semidirect
134. #65234C22semidirect
135. #65233C22semidirect
136. #65231C22semidirect
137. C22⋊C4×Dic5C22semidirect
138. C22⋊C4×Dic5C22semidirect
139. C22⋊C4×Dic5C22semidirect
140. C22⋊C4×Dic5C22semidirect
141. C22⋊C4×Dic5C22semidirect
142. C22⋊C4×Dic5C22semidirect
143. #65229C22semidirect
144. #65229C22semidirect
146. #65222C22semidirect
147. C4×#683C22semidirect
148. C42×Dic5C22semidirect
149. #64964C22semidirect
150. #64964C22semidirect
151. #64964C22semidirect
152. #64963C22semidirect
155. #64959C22semidirect
156. #64958C22semidirect
160. #64957C22semidirect
161. #64957C22semidirect
165. #64956C22semidirect
166. #64956C22semidirect
171. #64955C22semidirect
172. #64955C22semidirect
173. #64955C22semidirect
174. #64955C22semidirect
175. #64953C22semidirect
176. #64953C22semidirect
177. #64950C22semidirect
178. #64949C22semidirect
179. #64939C22semidirect
180. #64938C22semidirect
181. #64938C22semidirect
182. #64938C22semidirect
183. #64938C22semidirect
184. #64936C22semidirect
185. #64936C22semidirect
186. #64936C22semidirect
187. #64935C22semidirect
188. #64935C22semidirect
351. #4027D4semidirect
399. #2457D5semidirect
654. C2×#123C2×D5semidirect
688. #400C2×D5semidirect
706. #396C2×D5semidirect
737. #388C2×D5semidirect
738. #388C2×D5semidirect
740. #387C2×D5semidirect
746. #386C2×D5semidirect
747. #386C2×D5semidirect
748. #386C2×D5semidirect
761. #381C2×D5semidirect
771. #380C2×D5semidirect
799. C4×C22⋊C4C2×D5semidirect
1211. C2×D5#529semidirect
1629. C5#34700semidirect

Maximal subgroups

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

subgroupindex
C2×#659832
C2×C4×D4×D52
C5×#24572
#106146272
#106141022
#106098662
#106098602
#106090162
#106090122
#106086362
#106086232
#106084002
#106083972
#106072722
#106072712
#106071852
#106071812
#106067342
#106066722
#106066232
#106064282
#106064262
#106063912
#106063902
#106057992
#106057812
#106056342
#106055932
#106053202
C4×#40272
#347005