Finite Group Databasebeta

← #12272294

Subgroups — #12272294

Order 1280.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65994C211yesmaximal, characteristic, complemented
2C2×#65991C211yesmaximal, characteristic, complemented
3C5×#2854C211yesmaximal, characteristic, complemented
4#10614599C211yesmaximal, characteristic, complemented
5#10614598C211yesmaximal, characteristic, complemented
6#10614438C211yesmaximal, characteristic, complemented
7#10614389C211yesmaximal, characteristic, complemented
8#10613808C211yesmaximal, characteristic, complemented
9C42×C22⋊D5C211yesmaximal, characteristic, complemented
10#10608185C211yesmaximal, characteristic, complemented
11#10608160C211yesmaximal, characteristic, complemented
12#10608108C211yesmaximal, characteristic, complemented
13#10608091C211yesmaximal, characteristic, complemented
14#10607975C211yesmaximal, characteristic, complemented
15#10607927C211yesmaximal, characteristic, complemented
16#10607839C211yesmaximal, characteristic, complemented
17#10607800C211yesmaximal, characteristic, complemented
18#10607599C211yesmaximal, characteristic, complemented
19D5×#388C211yesmaximal, characteristic, complemented
20#10607552C211yesmaximal, characteristic, complemented
21#10607551C211yesmaximal, characteristic, complemented
22#10607293C211yesmaximal, characteristic, complemented
23#10607257C211yesmaximal, characteristic, complemented
24#10607242C211yesmaximal, characteristic, complemented
25#10607183C211yesmaximal, characteristic, complemented
26#10606633C211yesmaximal, characteristic, complemented
27#10606632C211yesmaximal, characteristic, complemented
28#10606492C211yesmaximal, characteristic, complemented
29#10606489C211yesmaximal, characteristic, complemented
30#10605753C211yesmaximal, characteristic, complemented
31#10605660C211yesmaximal, characteristic, complemented
32C2×C5×#123C2211yescharacteristic
33C2×C5×#123C2211yescharacteristic, complemented
34C2×C5×#121C2211yescharacteristic
35C22×C42×C5C2211yescharacteristic, complemented
36C2×#4084C2211yescharacteristic
37C2×#4084C2211yescharacteristic
38C2×#4083C2211yescharacteristic
39C2×#4083C2211yescharacteristic
40C2×#4081C2211yescharacteristic, complemented
41C2×#4076C2211yescharacteristic
42C2×C4×C22⋊D5C2211yescharacteristic
43C2×C4×C22⋊D5C2211yescharacteristic
44C2×C4×C22⋊D5C2211yescharacteristic
45C2×#4070C2211yescharacteristic, complemented
46#65994—28no—
47#65991—28no—
48C2×#4044C2211yescharacteristic
49C2×#4043C2211yescharacteristic
50C2×#4042C2211yescharacteristic
51C2×#4040C2211yescharacteristic
52C2×#4040C2211yescharacteristic
53C2×#4039C2211yescharacteristic
54C2×D5×C4⋊C4C2211yescharacteristic
55C2×#4036C2211yescharacteristic, complemented
56C2×#4035C2211yescharacteristic, complemented
57C2×#4031C2211yescharacteristic
58C2×#4031C2211yescharacteristic
59C2×#4030C2211yescharacteristic
60C2×#4030C2211yescharacteristic
61C2×#4029C2211yescharacteristic
62C2×#4029C2211yescharacteristic
63C2×#4028C2211yescharacteristic
64C2×#4027C2211yescharacteristic
65C2×#4027C2211yescharacteristic, complemented
66C2×D5×C22⋊C4C2211yescharacteristic
67C2×D5×C22⋊C4C2211yescharacteristic
68C2×D5×C22⋊C4C2211yescharacteristic
69C2×#4025C2211yescharacteristic
70C2×#4025C2211yescharacteristic, complemented
71C2×#4025C2211yescharacteristic, complemented
72C2×#4024C2211yescharacteristic, complemented
73C2×#4021C2211yescharacteristic
74C2×C42×D5C2211yescharacteristic
75C5×#390C2211yescharacteristic
76C5×#390C2211yescharacteristic
77C5×#389C2211yescharacteristic, complemented
78C5×#389C2211yescharacteristic, complemented
79C5×#388C2211yescharacteristic
80C5×#388C2211yescharacteristic
81C5×#388C2211yescharacteristic, complemented
82C5×#388C2211yescharacteristic, complemented
83C5×#386C2211yescharacteristic
84C5×#386C2211yescharacteristic, complemented
85C5×#380C2211yescharacteristic, complemented
86#65512C2211yescharacteristic
87#65512C2211yescharacteristic
88#65512C2211yescharacteristic, complemented
89#65511C2211yescharacteristic
90#65511C2211yescharacteristic
91#65511C2211yescharacteristic
92#65509C2211yescharacteristic
93#65502C2211yescharacteristic
94#65502C2211yescharacteristic
95#65502C2211yescharacteristic, complemented
96#65502C2211yescharacteristic, complemented
97C4×C22⋊Dic5C2211yescharacteristic, complemented
98C4×C22⋊Dic5C2211yescharacteristic, complemented
99C4×C22⋊Dic5C2211yescharacteristic, complemented
100#65283C2211yescharacteristic
101#65283C2211yescharacteristic, complemented
102#65281C2211yescharacteristic
103#65280C2211yescharacteristic
104#65279C2211yescharacteristic
105#65279C2211yescharacteristic
106#65279C2211yescharacteristic, complemented
107#65278C2211yescharacteristic
108#65278C2211yescharacteristic
109#65278C2211yescharacteristic, complemented
110#65275C2211yescharacteristic, complemented
111#65273C2211yescharacteristic, complemented
112#65272C2211yescharacteristic, complemented
113#65270C2211yescharacteristic, complemented
114#65269C2211yescharacteristic, complemented
115#65268C2211yescharacteristic, complemented
116#65268C2211yescharacteristic, complemented
117#65261C2211yescharacteristic, complemented
118#65261C2211yescharacteristic, complemented
119#65249C2211yescharacteristic
120#65248C2211yescharacteristic
121#65248C2211yescharacteristic
122#65248C2211yescharacteristic, complemented
123#65248C2211yescharacteristic, complemented
124#65247C2211yescharacteristic
125#65246C2211yescharacteristic
126#65246C2211yescharacteristic
127#65246C2211yescharacteristic
128#65246C2211yescharacteristic
129#65246C2211yescharacteristic
130#65246C2211yescharacteristic, complemented
131#65245C2211yescharacteristic
132#65245C2211yescharacteristic
133#65244C2211yescharacteristic
134#65242C2211yescharacteristic, complemented
135#65241C2211yescharacteristic, complemented
136#65241C2211yescharacteristic, complemented
137#65240C2211yescharacteristic
138#65240C2211yescharacteristic
139#65240C2211yescharacteristic, complemented
140#65238C2211yescharacteristic
141#65237C2211yescharacteristic
142#65236C2211yescharacteristic
143#65236C2211yescharacteristic, complemented
144#65234C2211yescharacteristic
145#65234C2211yescharacteristic
146#65234C2211yescharacteristic
147#65233C2211yescharacteristic
148#65233C2211yescharacteristic
149#65233C2211yescharacteristic, complemented
150C22⋊C4×Dic5C2211yescharacteristic, complemented
151#65229C2211yescharacteristic
152#65229C2211yescharacteristic
153#65229C2211yescharacteristic, complemented
154#65229C2211yescharacteristic, complemented
155#65228C2211yescharacteristic
156C4×#685C2211yescharacteristic
157C4×#685C2211yescharacteristic
158C4×#685C2211yescharacteristic
159#65225C2211yescharacteristic, complemented
160C4×#683C2211yescharacteristic, complemented
161C4×#683C2211yescharacteristic, complemented
162C4×#683C2211yescharacteristic, complemented
163C42×Dic5C2211yescharacteristic, complemented
164#65218C2211yescharacteristic, complemented
165#64965C2211yescharacteristic
166#64964C2211yescharacteristic
167#64959C2211yescharacteristic
168#64959C2211yescharacteristic
169#64959C2211yescharacteristic, complemented
170#64958C2211yescharacteristic
171#64958C2211yescharacteristic
172#64958C2211yescharacteristic, complemented
173#64957C2211yescharacteristic, complemented
174#64956C2211yescharacteristic
175#64955C2211yescharacteristic, complemented
176#64954C2211yescharacteristic
177#64954C2211yescharacteristic
178#64953C2211yescharacteristic
179D5×#95C2211yescharacteristic
180D5×#95C2211yescharacteristic
181#64949C2211yescharacteristic, complemented
182#64946C2211yescharacteristic, complemented
183#64941C2211yescharacteristic, complemented
184#64938C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64936C2211yescharacteristic, complemented
187#64935C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#35009—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C22×D20C2311yescharacteristic
206C22×D20C2311yescharacteristic
207C22×C4×D5C2311yescharacteristic
208C22×C4×D5C2311yescharacteristic
209C22×C4×D5C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×C4×D5C2311yescharacteristic
212C22×C4×D5C2311yescharacteristic
213C22×C4×D5C2311yescharacteristic
214C22×Dic10C2311yescharacteristic
215C22×Dic10C2311yescharacteristic
216C5×#123—24no—
217C5×#123—24no—
218C5×#121—42no—
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C4⋊C4C2311yescharacteristic
224C2×C5×C4⋊C4C2311yescharacteristic
225C2×C5×C4⋊C4C2311yescharacteristic
226C2×C5×C22⋊C4C2311yescharacteristic
227C2×C5×C22⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C5×C22⋊C4C2311yescharacteristic
230C2×C5×C22⋊C4C2311yescharacteristic
231C2×C5×C22⋊C4C2311yescharacteristic
232C2×C5×C22⋊C4C2311yescharacteristic
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238C2×C42×C5—42no—
239C2×C42×C5C2311yescharacteristic
240C2×C42×C5C2311yescharacteristic
241C2×C42×C5C2311yescharacteristic
242C2×C42×C5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247C2×C22⋊Dic5C2311yescharacteristic
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
258#4084—24no—
259#4084—24no—
260#4083—24no—
261#4083—24no—
262#4081—24no—
263#4076—24no—
264C4×C22⋊D5—24no—
265C4×C22⋊D5—24no—
266C4×C22⋊D5D418yescomplemented
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
293C2×C4⋊Dic5C2311yescharacteristic
294C2×C4⋊Dic5C2311yescharacteristic
295C2×C4⋊Dic5C2311yescharacteristic
296C2×C4⋊Dic5C2311yescharacteristic
297C2×C4⋊Dic5C2311yescharacteristic
298#4070—24no—
299C2×#683C2311yescharacteristic
300C2×#683C2311yescharacteristic
301C2×#683C2311yescharacteristic
302C2×#683C2311yescharacteristic
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×C4×Dic5C2311yescharacteristic
317C2×C4×Dic5C2311yescharacteristic
318C2×C4×Dic5C2311yescharacteristic
319C2×C4×Dic5C2311yescharacteristic
320C2×C4×Dic5C2311yescharacteristic
321C2×C4×Dic5C2311yescharacteristic
322C2×C4×Dic5C2311yescharacteristic
323C2×C4×Dic5C2311yescharacteristic
324C2×C4×Dic5C2311yescharacteristic
325C2×C4×Dic5C2311yescharacteristic
326C2×C4×Dic5C2311yescharacteristic
327#4044—24no—
328#4043—24no—
329#4042—24no—
330#4040—24no—
331#4040—24no—
332#4039—24no—
333D5×C4⋊C4—24no—
334#4036—24no—
335#4035—24no—
336#4031—24no—
337#4031—24no—
338#4030—24no—
339#4030—24no—
340#4029—24no—
341#4029—24no—
342#4028—24no—
343#4027—24no—
344#4027—42no—
345D5×C22⋊C4—24no—
346D5×C22⋊C4—24no—
347D5×C22⋊C4—42no—
348#4025—24no—
349#4025—24no—
350#4025—24no—
351#4024—24no—
352#4021—42no—
353C42×D5—42no—
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386C2×#539—51no—
387C2×#538—51no—
388#2861—51no—
389#2860—51no—
390#2854D511yescharacteristic, complemented
391#2850—51no—
392#2664—51no—
393#2663—51no—
394#2662—51no—
395#2661—51no—
396#2560—51no—
397#2559—51no—
398#2558—51no—
399#2557—51no—
400#2549—51no—
401#2543—51no—
402#2539—51no—
403#2534—51no—
404#2521—51no—
405#2519—51no—
406#2488—51no—
407#2472—51no—
408#2464—51no—
409#2461—51no—
410#2425—51no—
411#2424—51no—
412#2322—51no—
413#2321—51no—
414C4×#121—51no—
415C2×#388—51no—
416C42×D4—51no—
417C24×C5C2411yescharacteristic
418C24×C5C2411yescharacteristic
419C24×C5C2411yescharacteristic
420C23×D5—22no—
421C23×D5—22no—
422C23×D5—22no—
423C23×D5—41no—
424C23×D5—41no—
425C23×D5—41no—
426C23×D5—41no—
427C23×D5C2411yescharacteristic
428C23×D5C2411yescharacteristic
429C23×D5C2411yescharacteristic
430C2×C5×D4—22no—
431C2×C5×D4—22no—
432C2×C5×D4—22no—
433C2×C5×D4—41no—
434C2×C5×D4—41no—
435C2×C5×D4—41no—
436C2×C5×D4—41no—
437C2×C5×D4—41no—
438C2×C5×D4—41no—
439C22×C4×C5—22no—
440C22×C4×C5—22no—
441C22×C4×C5—22no—
442C22×C4×C5—41no—
443C22×C4×C5—41no—
444C22×C4×C5—41no—
445C22×C4×C5—41no—
446C22×C4×C5—41no—
447C22×C4×C5C2×D414yes—
448C22×C4×C5C2411yescharacteristic
449C22×C4×C5C2411yescharacteristic
450C22×C4×C5C2411yescharacteristic
451C22×C4×C5C2411yescharacteristic
452C22×C4×C5C2411yescharacteristic
453C22×C4×C5C2411yescharacteristic
454C22×C4×C5C2411yescharacteristic
455C22×C4×C5C2411yescharacteristic
456C22×C4×C5C2411yescharacteristic
457C22×C4×C5C2411yescharacteristic
458C22×C4×C5C2411yescharacteristic
459C22×C4×C5C2411yescharacteristic
460C2×C22⋊D5—22no—
461C2×C22⋊D5—22no—
462C2×C22⋊D5—22no—
463C2×C22⋊D5—22no—
464C2×C22⋊D5—22no—
465C2×C22⋊D5—22no—
466C2×C22⋊D5—22no—
467C2×C22⋊D5—22no—
468C2×C22⋊D5—22no—
469C2×C22⋊D5—22no—
470C2×C22⋊D5—41no—
471C2×C22⋊D5—41no—
472C2×C22⋊D5—41no—
473C2×C22⋊D5—41no—
474C2×C22⋊D5—41no—
475C2×C22⋊D5—41no—
476C2×C22⋊D5—41no—
477C2×C22⋊D5—41no—
478C2×C22⋊D5—41no—
479C2×C22⋊D5—41no—
480C2×C22⋊D5C2×D414yes—
481C22×Dic5—22no—
482C22×Dic5—41no—
483C22×Dic5—41no—
484C22×Dic5C2411yescharacteristic
485C22×Dic5C2411yescharacteristic
486C22×Dic5C2411yescharacteristic
487C22×Dic5C2411yescharacteristic
488C22×Dic5C2411yescharacteristic
489C22×Dic5C2411yescharacteristic
490C22×Dic5C2411yescharacteristic
491C22×Dic5C2411yescharacteristic
492C22×Dic5C2411yescharacteristic
493C22×Dic5C2411yescharacteristic
494C22×Dic5C2411yescharacteristic
495C22×Dic5C2411yescharacteristic
496C22×Dic5C2411yescharacteristic
497C2×D20—22no—
498C2×D20—22no—
499C2×D20—22no—
500C2×D20—22no—
501C2×D20—41no—
502C2×D20—41no—
503C2×C4×D5—22no—
504C2×C4×D5—22no—
505C2×C4×D5—22no—
506C2×C4×D5—22no—
507C2×C4×D5—22no—
508C2×C4×D5—22no—
509C2×C4×D5—22no—
510C2×C4×D5—22no—
511C2×C4×D5—41no—
512C2×C4×D5—41no—
513C2×C4×D5—41no—
514C2×C4×D5—41no—
515C2×C4×D5—41no—
516C2×C4×D5—41no—
517C2×C4×D5—41no—
518C2×C4×D5—41no—
519C2×C4×D5—41no—
520C2×C4×D5—41no—
521C2×C4×D5—41no—
522C2×C4×D5C2×D414yes—
523C2×C4×D5#4114yes—
524C2×Dic10—22no—
525C2×Dic10—22no—
526C2×Dic10—41no—
527C2×Dic10—41no—
528C2×Dic10—41no—
529C2×Dic10—41no—
530C5×C4⋊C4—22no—
531C5×C4⋊C4—22no—
532C5×C4⋊C4—22no—
533C5×C4⋊C4—22no—
534C5×C4⋊C4—22no—
535C5×C4⋊C4—41no—
536C5×C4⋊C4—41no—
537C5×C22⋊C4—22no—
538C5×C22⋊C4—22no—
539C5×C22⋊C4—22no—
540C5×C22⋊C4—22no—
541C5×C22⋊C4—22no—
542C5×C22⋊C4—22no—
543C5×C22⋊C4—22no—
544C5×C22⋊C4—22no—
545C5×C22⋊C4—22no—
546C5×C22⋊C4—22no—
547C5×C22⋊C4—41no—
548C5×C22⋊C4—41no—
549C42×C5—22no—
550C42×C5—22no—
551C42×C5—41no—
552C42×C5—41no—
553C22⋊Dic5—22no—
554C22⋊Dic5—22no—
555C22⋊Dic5—22no—
556C22⋊Dic5—22no—
557C22⋊Dic5—22no—
558C22⋊Dic5—22no—
559C22⋊Dic5—22no—
560C22⋊Dic5—22no—
561C22⋊Dic5—22no—
562C22⋊Dic5—22no—
563C22⋊Dic5—41no—
564C22⋊Dic5—41no—
565C22⋊Dic5—41no—
566C22⋊Dic5—41no—
567C22⋊Dic5C2×D414yes—
568#685—22no—
569#685—22no—
570#685—22no—
571#685—22no—
572#685—22no—
573#685—22no—
574#685—22no—
575#685—22no—
576#685—22no—
577#685—22no—
578#685—22no—
579#685—22no—
580#685—22no—
581#685—22no—
582#685—22no—
583#685—22no—
584#685—22no—
585#685—41no—
586#685—41no—
587#685—41no—
588#685—41no—
589#685—41no—
590#685—41no—
591#685C2×D414yes—
592#685#4114yes—
593C4⋊Dic5—22no—
594C4⋊Dic5—22no—
595C4⋊Dic5—22no—
596C4⋊Dic5—22no—
597C4⋊Dic5—22no—
598C4⋊Dic5—22no—
599#683—22no—
600#683—22no—
601#683—22no—
602#683—22no—
603#683—22no—
604#683—22no—
605#683—22no—
606#683—22no—
607#683—22no—
608#683—22no—
609#683—22no—
610#683—22no—
611#683—41no—
612#683—41no—
613#683—41no—
614#683—41no—
615#683C2×D414yes—
616C4×Dic5—22no—
617C4×Dic5—22no—
618C4×Dic5—22no—
619C4×Dic5—22no—
620C4×Dic5—22no—
621C4×Dic5—41no—
622C4×Dic5—41no—
623C4×Dic5—41no—
624C4×Dic5—41no—
625C4×Dic5—41no—
626C4×Dic5C2×D414yes—
627#539—108no—
628#538—108no—
629C2×#126—51no—
630C2×#126—51no—
631C2×#126—51no—
632C2×#126—51no—
633C2×#125—51no—
634C2×#125—51no—
635C2×#124—51no—
636C2×#124—51no—
637C2×#124—51no—
638C2×#123—51no—
639C2×#123—51no—
640C2×#123—51no—
641C2×#123—51no—
642C2×#123—51no—
643C2×#123C2×D511yescharacteristic
644C2×#123C2×D511yescharacteristic, complemented
645C2×C22⋊Q8—51no—
646C2×C22⋊Q8—51no—
647C2×C22⋊Q8—51no—
648C2×C22⋊Q8—51no—
649C2×#121—51no—
650C2×#121—51no—
651C2×#121—51no—
652C2×#121—51no—
653C2×#121—51no—
654C2×#121C2×D511yescharacteristic
655C2×#120—51no—
656C2×#120—51no—
657C2×#120—51no—
658C2×C4×D4—51no—
659C2×C4×D4—51no—
660C2×C4×D4—51no—
661C2×C4×D4—51no—
662C2×C4×D4—51no—
663C2×C4×D4—51no—
664C22×C4⋊C4—51no—
665C22×C22⋊C4—51no—
666C22×C22⋊C4—51no—
667C22×C22⋊C4—51no—
668C22×C42—51no—
669C22×C42C2×D511yescharacteristic, complemented
670#400—51no—
671#400—51no—
672#399—51no—
673#399—51no—
674#398—51no—
675#398—51no—
676#398—51no—
677#398—51no—
678#397—51no—
679#397—51no—
680#397—51no—
681#397—51no—
682#396—51no—
683#396—51no—
684#396—51no—
685#396—51no—
686#395—51no—
687#395—51no—
688#394—51no—
689#394—51no—
690#394—51no—
691#394—51no—
692#394—51no—
693#394—51no—
694#394—51no—
695#394—51no—
696#393—51no—
697#393—51no—
698#392—51no—
699#392—51no—
700#392—51no—
701#392—51no—
702#391—51no—
703#391—51no—
704#391—51no—
705#390—51no—
706#390—51no—
707#390—51no—
708#390—51no—
709#390—51no—
710#390—51no—
711#390—51no—
712#390C2×D511yescharacteristic
713#390C2×D511yescharacteristic
714#389—51no—
715#389—51no—
716#389—51no—
717#389—51no—
718#389C2×D511yescharacteristic, complemented
719#389C2×D511yescharacteristic, complemented
720#388—51no—
721#388—51no—
722#388—51no—
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388—51no—
730#388—51no—
731#388—51no—
732#388—51no—
733#388—51no—
734#388—51no—
735#388—51no—
736#388—51no—
737#388—51no—
738#388—51no—
739#388—51no—
740#388—51no—
741#388—51no—
742#388C2×D511yescharacteristic
743#388C2×D511yescharacteristic
744#388C2×D511yescharacteristic, complemented
745#388C2×D511yescharacteristic, complemented
746#387—51no—
747#387—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386—51no—
754#386—51no—
755#386—51no—
756#386—51no—
757#386—51no—
758#386C2×D511yescharacteristic
759#386C2×D511yescharacteristic, complemented
760#385—51no—
761#385—51no—
762#385—51no—
763#385—51no—
764#382—51no—
765#381—51no—
766#380—51no—
767#380C2×D511yescharacteristic, complemented
768#379—51no—
769C4×C4⋊C4—51no—
770C4×C4⋊C4—51no—
771C4×C4⋊C4—51no—
772C4×C4⋊C4—51no—
773C4×C22⋊C4—51no—
774C4×C22⋊C4—51no—
775C4×C22⋊C4—51no—
776C4×C22⋊C4—51no—
777C4×C22⋊C4—51no—
778C4×C22⋊C4—51no—
779C4×C22⋊C4—51no—
780C4×C22⋊C4—51no—
781C2×#95—51no—
782C2×#95—51no—
783C43—51no—
784C23×C5—21no—
785C23×C5—21no—
786C23×C5—21no—
787C23×C5—21no—
788C23×C5—21no—
789C23×C5—21no—
790C23×C5—21no—
791C23×C5—21no—
792C23×C5—21no—
793C23×C5—21no—
794C23×C5—21no—
795C23×C5—21no—
796C23×C5—21no—
797C23×C5—21no—
798C23×C5—21no—
799C23×C5—21no—
800C23×C5—21no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5C22×D412yes—
805C23×C5C2511yescharacteristic
806C22×D5—21no—
807C22×D5—21no—
808C22×D5—21no—
809C22×D5—21no—
810C22×D5—21no—
811C22×D5—21no—
812C22×D5—21no—
813C22×D5—21no—
814C22×D5—21no—
815C22×D5—21no—
816C22×D5—21no—
817C22×D5—21no—
818C22×D5—21no—
819C22×D5—21no—
820C22×D5—21no—
821C22×D5—21no—
822C22×D5—21no—
823C22×D5—21no—
824C22×D5—44no—
825C22×D5—44no—
826C22×D5—44no—
827C22×D5—82no—
828C22×D5—82no—
829C22×D5—82no—
830C22×D5—82no—
831C22×D5C22×D412yes—
832C22×D5C2×#4112yes—
833C22×D5C2×#4112yes—
834C5×D4—82no—
835C5×D4—82no—
836C5×D4—82no—
837C2×C4×C5—21no—
838C2×C4×C5—21no—
839C2×C4×C5—21no—
840C2×C4×C5—21no—
841C2×C4×C5—21no—
842C2×C4×C5—21no—
843C2×C4×C5—21no—
844C2×C4×C5—21no—
845C2×C4×C5—21no—
846C2×C4×C5—21no—
847C2×C4×C5—21no—
848C2×C4×C5—21no—
849C2×C4×C5—21no—
850C2×C4×C5—21no—
851C2×C4×C5—21no—
852C2×C4×C5—21no—
853C2×C4×C5—21no—
854C2×C4×C5—21no—
855C2×C4×C5—21no—
856C2×C4×C5—21no—
857C2×C4×C5—21no—
858C2×C4×C5—21no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—21no—
868C2×C4×C5—44no—
869C2×C4×C5—44no—
870C2×C4×C5—44no—
871C2×C4×C5C22×D412yes—
872C2×C4×C5C22×D412yes—
873C2×C4×C5C2×#4112yes—
874C2×C4×C5C2×#4112yes—
875C2×C4×C5H(5,𝔽2)12yes—
876C22⋊D5—28no—
877C22⋊D5—44no—
878C22⋊D5—44no—
879C22⋊D5—82no—
880C22⋊D5—82no—
881C22⋊D5—82no—
882C22⋊D5—82no—
883C2×Dic5—21no—
884C2×Dic5—21no—
885C2×Dic5—21no—
886C2×Dic5—21no—
887C2×Dic5—21no—
888C2×Dic5—21no—
889C2×Dic5—21no—
890C2×Dic5—21no—
891C2×Dic5—21no—
892C2×Dic5—21no—
893C2×Dic5—21no—
894C2×Dic5—21no—
895C2×Dic5—21no—
896C2×Dic5—21no—
897C2×Dic5—21no—
898C2×Dic5—21no—
899C2×Dic5—21no—
900C2×Dic5—21no—
901C2×Dic5—21no—
902C2×Dic5—21no—
903C2×Dic5—21no—
904C2×Dic5—21no—
905C2×Dic5—21no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—21no—
909C2×Dic5—21no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—21no—
915C2×Dic5—21no—
916C2×Dic5—21no—
917C2×Dic5—82no—
918C2×Dic5C22×D412yes—
919C2×Dic5C22×D412yes—
920C2×Dic5C22×D412yes—
921C2×Dic5C2×#4112yes—
922C2×Dic5C2×#4112yes—
923D20—44no—
924D20—82no—
925C4×D5—44no—
926C4×D5—44no—
927C4×D5—44no—
928C4×D5—44no—
929C4×D5—82no—
930C4×D5—82no—
931C4×D5—82no—
932Dic10—82no—
933Dic10—82no—
934C25—51no—
935C22×Q8—51no—
936C22×Q8—51no—
937C22×D4—51no—
938C22×D4—51no—
939C22×D4—51no—
940C22×D4—51no—
941C22×D4—51no—
942C22×D4—51no—
943C22×D4—51no—
944C22×D4—51no—
945C22×D4—51no—
946C22×D4C22×D511yescharacteristic
947C22×D4C22×D511yescharacteristic
948C22×D4C22×D511yescharacteristic
949C23×C4—51no—
950C23×C4—51no—
951C23×C4—51no—
952C23×C4—51no—
953C23×C4—51no—
954C23×C4—51no—
955C23×C4—51no—
956C23×C4—51no—
957C23×C4C22×D511yescharacteristic
958C23×C4C22×D511yescharacteristic
959C23×C4C22×D511yescharacteristic
960#126—104no—
961#126—104no—
962#126—104no—
963#126—104no—
964#125—104no—
965#125—104no—
966#124—104no—
967#124—104no—
968#124—202no—
969#123—24no—
970#123—24no—
971#123—104no—
972#123—104no—
973#123—104no—
974#123—104no—
975#123—104no—
976C22⋊Q8—104no—
977C22⋊Q8—104no—
978C22⋊Q8—104no—
979C22⋊Q8—104no—
980#121—42no—
981#121—104no—
982#121—104no—
983#121—104no—
984#121—104no—
985#121—104no—
986#120—104no—
987#120—104no—
988#120—104no—
989C4×D4—58no—
990C4×D4—104no—
991C4×D4—104no—
992C4×D4—104no—
993C4×D4—104no—
994C4×D4—202no—
995C2×C4⋊C4—51no—
996C2×C4⋊C4—51no—
997C2×C4⋊C4—51no—
998C2×C4⋊C4—51no—
999C2×C4⋊C4—51no—
1000C2×C4⋊C4—51no—
1001C2×C4⋊C4—51no—
1002C2×C4⋊C4—51no—
1003C2×C4⋊C4—51no—
1004C2×C4⋊C4—51no—
1005C2×C4⋊C4—51no—
1006C2×C4⋊C4—51no—
1007C2×C4⋊C4—51no—
1008C2×C4⋊C4—51no—
1009C2×C4⋊C4—51no—
1010C2×C4⋊C4—51no—
1011C2×C4⋊C4—51no—
1012C2×C4⋊C4—51no—
1013C2×C4⋊C4—51no—
1014C2×C4⋊C4—51no—
1015C2×C4⋊C4—51no—
1016C2×C4⋊C4—51no—
1017C2×C4⋊C4—51no—
1018C2×C4⋊C4—104no—
1019C2×C4⋊C4C22×D511yescharacteristic
1020C2×C4⋊C4C22×D511yescharacteristic
1021C2×C4⋊C4C22×D511yescharacteristic
1022C2×C4⋊C4C22×D511yescharacteristic
1023C2×C4⋊C4C22×D511yescharacteristic
1024C2×C4⋊C4C22×D511yescharacteristic
1025C2×C4⋊C4C22×D511yescharacteristic
1026C2×C22⋊C4—51no—
1027C2×C22⋊C4—51no—
1028C2×C22⋊C4—51no—
1029C2×C22⋊C4—51no—
1030C2×C22⋊C4—51no—
1031C2×C22⋊C4—51no—
1032C2×C22⋊C4—51no—
1033C2×C22⋊C4—51no—
1034C2×C22⋊C4—51no—
1035C2×C22⋊C4—51no—
1036C2×C22⋊C4—51no—
1037C2×C22⋊C4—51no—
1038C2×C22⋊C4—51no—
1039C2×C22⋊C4—51no—
1040C2×C22⋊C4—51no—
1041C2×C22⋊C4—51no—
1042C2×C22⋊C4—51no—
1043C2×C22⋊C4—51no—
1044C2×C22⋊C4—51no—
1045C2×C22⋊C4—51no—
1046C2×C22⋊C4—51no—
1047C2×C22⋊C4—51no—
1048C2×C22⋊C4—51no—
1049C2×C22⋊C4—51no—
1050C2×C22⋊C4—51no—
1051C2×C22⋊C4—51no—
1052C2×C22⋊C4—51no—
1053C2×C22⋊C4—51no—
1054C2×C22⋊C4—51no—
1055C2×C22⋊C4—51no—
1056C2×C22⋊C4—51no—
1057C2×C22⋊C4—51no—
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—104no—
1067C2×C22⋊C4—104no—
1068C2×C22⋊C4—202no—
1069C2×C22⋊C4C22×D511yescharacteristic
1070C2×C22⋊C4C22×D511yescharacteristic
1071C2×C22⋊C4C22×D511yescharacteristic
1072C2×C22⋊C4C22×D511yescharacteristic
1073C2×C22⋊C4C22×D511yescharacteristic
1074C2×C22⋊C4C22×D511yescharacteristic
1075C2×C22⋊C4C22×D511yescharacteristic
1076C2×C22⋊C4C22×D511yescharacteristic
1077C2×C22⋊C4C22×D511yescharacteristic
1078C2×C22⋊C4C22×D511yescharacteristic
1079C2×C22⋊C4C22×D511yescharacteristic
1080C2×C22⋊C4C22×D511yescharacteristic
1081C2×C42—42no—
1082C2×C42—51no—
1083C2×C42—51no—
1084C2×C42—51no—
1085C2×C42—51no—
1086C2×C42—51no—
1087C2×C42—51no—
1088C2×C42—51no—
1089C2×C42—51no—
1090C2×C42—51no—
1091C2×C42—51no—
1092C2×C42—51no—
1093C2×C42—202no—
1094C2×C42C22×D511yescharacteristic
1095C2×C42C22×D511yescharacteristic
1096C2×C42C22×D511yescharacteristic
1097C2×C42C22×D511yescharacteristic
1098#95—51no—
1099#95—51no—
1100#95—51no—
1101#95—51no—
1102#95—51no—
1103#95—51no—
1104#95—51no—
1105#95—51no—
1106#95—51no—
1107#95—51no—
1108#95—51no—
1109#95—51no—
1110#95—51no—
1111#95—51no—
1112#95—51no—
1113#95—51no—
1114#95—51no—
1115#95—51no—
1116#95—51no—
1117#95—51no—
1118#95—51no—
1119#95—51no—
1120#95—51no—
1121#95—51no—
1122#95—51no—
1123#95—51no—
1124#95C22×D511yescharacteristic
1125#95C22×D511yescharacteristic
1126#95C22×D511yescharacteristic
1127#95C22×D511yescharacteristic
1128#95C22×D511yescharacteristic
1129#95C22×D511yescharacteristic
1130C22×C5—22no—
1131C22×C5—22no—
1132C22×C5—22no—
1133C22×C5—41no—
1134C22×C5—41no—
1135C22×C5—41no—
1136C22×C5—41no—
1137C22×C5—41no—
1138C22×C5—41no—
1139C22×C5—41no—
1140C22×C5—41no—
1141C22×C5—41no—
1142C22×C5—41no—
1143C22×C5—41no—
1144C22×C5—41no—
1145C22×C5—41no—
1146C22×C5—41no—
1147C22×C5—41no—
1148C22×C5—41no—
1149C22×C5—41no—
1150C22×C5—41no—
1151C22×C5C23×D411yescharacteristic
1152C22×C5C22×#4111yescharacteristic
1153C22×C5C22×#4111yescharacteristic
1154C22×C5C2×H(5,𝔽2)11yescharacteristic
1155C22×C5#58511yescharacteristic
1156C22×C5#58511yescharacteristic
1157C22×C5#58511yescharacteristic
1158C2×D5—22no—
1159C2×D5—22no—
1160C2×D5—22no—
1161C2×D5—22no—
1162C2×D5—22no—
1163C2×D5—22no—
1164C2×D5—41no—
1165C2×D5—41no—
1166C2×D5—41no—
1167C2×D5—41no—
1168C2×D5—41no—
1169C2×D5—41no—
1170C2×D5—41no—
1171C2×D5—41no—
1172C2×D5—41no—
1173C2×D5—41no—
1174C2×D5—41no—
1175C2×D5—41no—
1176C2×D5—41no—
1177C2×D5—41no—
1178C2×D5—88no—
1179C2×D5#53214yes—
1180C4×C5—22no—
1181C4×C5—22no—
1182C4×C5—22no—
1183C4×C5—22no—
1184C4×C5—22no—
1185C4×C5—41no—
1186C4×C5—41no—
1187C4×C5—41no—
1188C4×C5—41no—
1189C4×C5—41no—
1190C4×C5—41no—
1191C4×C5—41no—
1192Dic5—22no—
1193Dic5—22no—
1194Dic5—22no—
1195Dic5—22no—
1196Dic5—22no—
1197Dic5—41no—
1198Dic5—41no—
1199Dic5—41no—
1200Dic5—41no—
1201Dic5—41no—
1202Dic5—41no—
1203Dic5—41no—
1204Dic5—41no—
1205C24—51no—
1206C24—51no—
1207C24—51no—
1208C24—102no—
1209C24—102no—
1210C24—102no—
1211C24—201no—
1212C24—201no—
1213C24—201no—
1214C24—201no—
1215C24C23×D511yescharacteristic
1216C24C23×D511yescharacteristic
1217C24C23×D511yescharacteristic
1218C2×Q8—102no—
1219C2×Q8—102no—
1220C2×Q8—201no—
1221C2×Q8—201no—
1222C2×Q8—201no—
1223C2×Q8—201no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—54no—
1234C2×D4—102no—
1235C2×D4—102no—
1236C2×D4—102no—
1237C2×D4—102no—
1238C2×D4—102no—
1239C2×D4—102no—
1240C2×D4—102no—
1241C2×D4—102no—
1242C2×D4—102no—
1243C2×D4—102no—
1244C2×D4—102no—
1245C2×D4—102no—
1246C2×D4—102no—
1247C2×D4—102no—
1248C2×D4—201no—
1249C2×D4—201no—
1250C2×D4—201no—
1251C2×D4—201no—
1252C2×D4—201no—
1253C2×D4—201no—
1254C2×D4—201no—
1255C2×D4—201no—
1256C2×D4—201no—
1257C2×D4—201no—
1258C2×D4—201no—
1259C2×D4—201no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—51no—
1269C22×C4—51no—
1270C22×C4—51no—
1271C22×C4—51no—
1272C22×C4—51no—
1273C22×C4—54no—
1274C22×C4—54no—
1275C22×C4—51no—
1276C22×C4—51no—
1277C22×C4—51no—
1278C22×C4—51no—
1279C22×C4—51no—
1280C22×C4—51no—
1281C22×C4—51no—
1282C22×C4—51no—
1283C22×C4—102no—
1284C22×C4—102no—
1285C22×C4—102no—
1286C22×C4—102no—
1287C22×C4—102no—
1288C22×C4—102no—
1289C22×C4—102no—
1290C22×C4—102no—
1291C22×C4—102no—
1292C22×C4—201no—
1293C22×C4—201no—
1294C22×C4—201no—
1295C22×C4—201no—
1296C22×C4—201no—
1297C22×C4—201no—
1298C22×C4—201no—
1299C22×C4—201no—
1300C22×C4—201no—
1301C22×C4—201no—
1302C22×C4—201no—
1303C22×C4—201no—
1304C22×C4—201no—
1305C22×C4D4×D514yes—
1306C22×C4C23×D511yescharacteristic
1307C22×C4C23×D511yescharacteristic
1308C22×C4C23×D511yescharacteristic
1309C22×C4C23×D511yescharacteristic
1310C22×C4C23×D511yescharacteristic
1311C22×C4C23×D511yescharacteristic
1312C22×C4C23×D511yescharacteristic
1313C22×C4C23×D511yescharacteristic
1314C22×C4C23×D511yescharacteristic
1315C22×C4C23×D511yescharacteristic
1316C22×C4C23×D511yescharacteristic
1317C22×C4C23×D511yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—54no—
1326C4⋊C4—102no—
1327C4⋊C4—102no—
1328C4⋊C4—102no—
1329C4⋊C4—102no—
1330C4⋊C4—102no—
1331C4⋊C4—102no—
1332C4⋊C4—102no—
1333C4⋊C4—102no—
1334C4⋊C4—102no—
1335C4⋊C4—102no—
1336C4⋊C4—102no—
1337C4⋊C4—102no—
1338C4⋊C4—102no—
1339C4⋊C4—102no—
1340C4⋊C4—102no—
1341C4⋊C4—102no—
1342C4⋊C4—102no—
1343C4⋊C4—102no—
1344C4⋊C4—201no—
1345C4⋊C4—201no—
1346C4⋊C4—201no—
1347C4⋊C4—201no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—54no—
1361C22⋊C4—54no—
1362C22⋊C4—54no—
1363C22⋊C4—102no—
1364C22⋊C4—102no—
1365C22⋊C4—102no—
1366C22⋊C4—102no—
1367C22⋊C4—102no—
1368C22⋊C4—102no—
1369C22⋊C4—102no—
1370C22⋊C4—102no—
1371C22⋊C4—102no—
1372C22⋊C4—102no—
1373C22⋊C4—102no—
1374C22⋊C4—102no—
1375C22⋊C4—102no—
1376C22⋊C4—102no—
1377C22⋊C4—102no—
1378C22⋊C4—102no—
1379C22⋊C4—102no—
1380C22⋊C4—102no—
1381C22⋊C4—102no—
1382C22⋊C4—102no—
1383C22⋊C4—102no—
1384C22⋊C4—102no—
1385C22⋊C4—102no—
1386C22⋊C4—102no—
1387C22⋊C4—102no—
1388C22⋊C4—102no—
1389C22⋊C4—102no—
1390C22⋊C4—201no—
1391C22⋊C4—201no—
1392C22⋊C4—201no—
1393C22⋊C4—201no—
1394C22⋊C4—201no—
1395C22⋊C4—201no—
1396C22⋊C4—201no—
1397C22⋊C4—201no—
1398C22⋊C4—201no—
1399C22⋊C4—201no—
1400C42—22no—
1401C42—22no—
1402C42—41no—
1403C42—41no—
1404C42—54no—
1405C42—102no—
1406C42—102no—
1407C42—102no—
1408C42—102no—
1409C42—102no—
1410C42—201no—
1411C42—201no—
1412C42—201no—
1413C42—201no—
1414C42—201no—
1415C2×C5—42no—
1416C2×C5—81no—
1417C2×C5—81no—
1418C2×C5C2×#53211yescharacteristic
1419C2×C5#345511yescharacteristic
1420C2×C5#345911yescharacteristic
1421C2×C5#349611yescharacteristic
1422C2×C5#350011yescharacteristic
1423C2×C5#351311yescharacteristic
1424C2×C5#352111yescharacteristic
1425D5—24no—
1426D5—81no—
1427D5—81no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—52no—
1449C23—52no—
1450C23—52no—
1451C23—101no—
1452C23—101no—
1453C23—101no—
1454C23—101no—
1455C23—101no—
1456C23—101no—
1457C23—101no—
1458C23—101no—
1459C23—101no—
1460C23—101no—
1461C23—101no—
1462C23—101no—
1463C23—101no—
1464C23—101no—
1465C23—101no—
1466C23—101no—
1467C23—101no—
1468C23—101no—
1469C23—204no—
1470C23—204no—
1471C23—204no—
1472C23—402no—
1473C23—402no—
1474C23—402no—
1475C23—402no—
1476C23C2×D4×D512yes—
1477C23C24×D511yescharacteristic
1478Q8—402no—
1479Q8—402no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—108no—
1484D4—204no—
1485D4—204no—
1486D4—204no—
1487D4—402no—
1488D4—402no—
1489D4—402no—
1490D4—402no—
1491D4—402no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—52no—
1527C2×C4—52no—
1528C2×C4—52no—
1529C2×C4—52no—
1530C2×C4—52no—
1531C2×C4—101no—
1532C2×C4—101no—
1533C2×C4—101no—
1534C2×C4—101no—
1535C2×C4—101no—
1536C2×C4—101no—
1537C2×C4—101no—
1538C2×C4—101no—
1539C2×C4—101no—
1540C2×C4—101no—
1541C2×C4—101no—
1542C2×C4—101no—
1543C2×C4—101no—
1544C2×C4—101no—
1545C2×C4—101no—
1546C2×C4—101no—
1547C2×C4—101no—
1548C2×C4—101no—
1549C2×C4—101no—
1550C2×C4—101no—
1551C2×C4—101no—
1552C2×C4—101no—
1553C2×C4—101no—
1554C2×C4—101no—
1555C2×C4—101no—
1556C2×C4—101no—
1557C2×C4—101no—
1558C2×C4—101no—
1559C2×C4—101no—
1560C2×C4—101no—
1561C2×C4—101no—
1562C2×C4—101no—
1563C2×C4—101no—
1564C2×C4—101no—
1565C2×C4—204no—
1566C2×C4—204no—
1567C2×C4—204no—
1568C2×C4—204no—
1569C2×C4—402no—
1570C2×C4—402no—
1571C2×C4—402no—
1572C2×C4—402no—
1573C2×C4C2×D4×D512yes—
1574C2×C4C2×D4×D512yes—
1575C2×C4#414412yes—
1576C2×C4D5×#4112yes—
1577C2×C4D5×#4112yes—
1578C5#3500911yescharacteristic, complemented, Sylow
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—54no—
1601C22—102no—
1602C22—102no—
1603C22—102no—
1604C22—102no—
1605C22—102no—
1606C22—102no—
1607C22—201no—
1608C22—201no—
1609C22—201no—
1610C22—201no—
1611C22—201no—
1612C22—201no—
1613C22—201no—
1614C22—201no—
1615C22—201no—
1616C22—201no—
1617C22—201no—
1618C22—201no—
1619C22—201no—
1620C22—201no—
1621C22—408no—
1622C22C22×D4×D511yescharacteristic
1623C22C2×#414411yescharacteristic
1624C22C2×D5×#4111yescharacteristic
1625C22C2×D5×#4111yescharacteristic
1626C22#6628311yescharacteristic
1627C22#6628311yescharacteristic
1628C22#6628311yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—102no—
1642C4—102no—
1643C4—102no—
1644C4—102no—
1645C4—102no—
1646C4—201no—
1647C4—201no—
1648C4—201no—
1649C4—201no—
1650C4—201no—
1651C4—201no—
1652C4—201no—
1653C4—201no—
1654C2—42no—
1655C2—81no—
1656C2—81no—
1657C2—104no—
1658C2—401no—
1659C2—401no—
1660C2#1061785111yescharacteristic
1661C2#1061791411yescharacteristic
1662C2#1061793711yescharacteristic
1663C2#1061804711yescharacteristic
1664C2#1061807011yescharacteristic
1665C2D5×#53211yescharacteristic
1666C2#1061814511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2854C2
hypercenter#2854D5
hypocenterC5#35009
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2854

Complements

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

NH ≅ G/Ntype
1. C2×#65994C2semidirect
2. C2×#65991C2semidirect
3. C5×#2854C2semidirect
4. #10614599C2semidirect
5. #10614598C2semidirect
6. #10614438C2semidirect
7. #10614389C2semidirect
8. #10613808C2semidirect
9. C42×C22⋊D5C2semidirect
10. #10608185C2semidirect
11. #10608160C2semidirect
12. #10608108C2semidirect
13. #10608091C2semidirect
14. #10607975C2semidirect
15. #10607927C2semidirect
16. #10607839C2semidirect
17. #10607800C2semidirect
18. #10607599C2semidirect
19. D5×#388C2semidirect
20. #10607552C2semidirect
21. #10607551C2semidirect
22. #10607293C2semidirect
23. #10607257C2semidirect
24. #10607242C2semidirect
25. #10607183C2semidirect
26. #10606633C2semidirect
27. #10606632C2semidirect
28. #10606492C2semidirect
29. #10606489C2semidirect
30. #10605753C2semidirect
31. #10605660C2semidirect
33. C2×C5×#123C22semidirect
35. C22×C42×C5C22semidirect
40. C2×#4081C22semidirect
45. C2×#4070C22semidirect
55. C2×#4036C22semidirect
56. C2×#4035C22semidirect
65. C2×#4027C22semidirect
70. C2×#4025C22semidirect
71. C2×#4025C22semidirect
72. C2×#4024C22semidirect
77. C5×#389C22semidirect
78. C5×#389C22semidirect
81. C5×#388C22semidirect
82. C5×#388C22semidirect
84. C5×#386C22semidirect
85. C5×#380C22semidirect
88. #65512C22semidirect
95. #65502C22semidirect
96. #65502C22semidirect
97. C4×C22⋊Dic5C22semidirect
98. C4×C22⋊Dic5C22semidirect
99. C4×C22⋊Dic5C22semidirect
101. #65283C22semidirect
106. #65279C22semidirect
109. #65278C22semidirect
110. #65275C22semidirect
111. #65273C22semidirect
112. #65272C22semidirect
113. #65270C22semidirect
114. #65269C22semidirect
115. #65268C22semidirect
116. #65268C22semidirect
117. #65261C22semidirect
118. #65261C22semidirect
122. #65248C22semidirect
123. #65248C22semidirect
130. #65246C22semidirect
134. #65242C22semidirect
135. #65241C22semidirect
136. #65241C22semidirect
139. #65240C22semidirect
143. #65236C22semidirect
149. #65233C22semidirect
150. C22⋊C4×Dic5C22semidirect
153. #65229C22semidirect
154. #65229C22semidirect
159. #65225C22semidirect
160. C4×#683C22semidirect
161. C4×#683C22semidirect
162. C4×#683C22semidirect
163. C42×Dic5C22semidirect
164. #65218C22semidirect
169. #64959C22semidirect
172. #64958C22semidirect
173. #64957C22semidirect
175. #64955C22semidirect
181. #64949C22semidirect
182. #64946C22semidirect
183. #64941C22semidirect
184. #64938C22semidirect
185. #64936C22semidirect
186. #64936C22semidirect
187. #64935C22semidirect
188. #64935C22semidirect
266. C4×C22⋊D5D4semidirect
390. #2854D5semidirect
644. C2×#123C2×D5semidirect
669. C22×C42C2×D5semidirect
718. #389C2×D5semidirect
719. #389C2×D5semidirect
744. #388C2×D5semidirect
745. #388C2×D5semidirect
759. #386C2×D5semidirect
767. #380C2×D5semidirect
1578. C5#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#659942
C2×#659912
C5×#28542
#106145992
#106145982
#106144382
#106143892
#106138082
C42×C22⋊D52
#106081852
#106081602
#106081082
#106080912
#106079752
#106079272
#106078392
#106078002
#106075992
D5×#3882
#106075522
#106075512
#106072932
#106072572
#106072422
#106071832
#106066332
#106066322
#106064922
#106064892
#106057532
#106056602
#350095