Finite Group Databasebeta

← #12306475

Subgroups — #12306475

Order 1280.

2034 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2418C211yesmaximal, characteristic, complemented
2#10614617C211yesmaximal, characteristic, complemented
3#10614600C211yesmaximal, characteristic, complemented
4#10614332C211yesmaximal, characteristic
5#10614320C211yesmaximal, characteristic, complemented
6#10614091C211yesmaximal, characteristic, complemented
7#10614058C211yesmaximal, characteristic, complemented
8#10613859C211yesmaximal, characteristic, complemented
9C2×#65231C211yesmaximal, characteristic, complemented
10#10609807C211yesmaximal, characteristic, complemented
11#10609793C211yesmaximal, characteristic, complemented
12#10609433C211yesmaximal, characteristic, complemented
13#10609333C211yesmaximal, characteristic, complemented
14#10608863C211yesmaximal, characteristic, complemented
15#10608781C211yesmaximal, characteristic, complemented
16#10608754C211yesmaximal, characteristic, complemented
17#10608744C211yesmaximal, characteristic, complemented
18#10607460C211yesmaximal, characteristic, complemented
19#10607453C211yesmaximal, characteristic, complemented
20#10607451C211yesmaximal, characteristic, complemented
21#10607412C211yesmaximal, characteristic, complemented
22#10606534C211yesmaximal, characteristic, complemented
23#10606531C211yesmaximal, characteristic, complemented
24#10606516C211yesmaximal, characteristic, complemented
25#10606467C211yesmaximal, characteristic, complemented
26#10606152C211yesmaximal, characteristic, complemented
27#10606118C211yesmaximal, characteristic, complemented
28#10605688C211yesmaximal, characteristic, complemented
29#10605641C211yesmaximal, characteristic, complemented
30#10605577C211yesmaximal, characteristic, complemented
31#10605560C211yesmaximal, characteristic, complemented
32C24×Dic5C2211yescharacteristic
33C2×C5×#123C2211yescharacteristic
34C2×C5×#120C2211yescharacteristic
35C2×C4×C5×D4C2211yescharacteristic
36C22×C5×C22⋊C4C2211yescharacteristic
37C2×#4099C2211yescharacteristic
38C22×C22⋊Dic5C2211yescharacteristic
39C2×#4085C2211yescharacteristic
40C2×#4085C2211yescharacteristic
41C2×#4085C2211yescharacteristic
42C2×#4082C2211yescharacteristic
43C2×C4×C22⋊D5C2211yescharacteristic
44C2×#4070C2211yescharacteristic, complemented
45C22×#683C2211yescharacteristic
46C22×#683C2211yescharacteristic
47C2×#4044C2211yescharacteristic, complemented
48C2×#4042C2211yescharacteristic, complemented
49C2×#4031C2211yescharacteristic
50C2×#4029C2211yescharacteristic
51C2×#4025C2211yescharacteristic, complemented
52C2×#4024C2211yescharacteristic
53C2×#4024C2211yescharacteristic
54C2×#4024C2211yescharacteristic
55C2×#4024C2211yescharacteristic
56C2×#4024C2211yescharacteristic
57C5×#399C2211yescharacteristic
58C5×#397C2211yescharacteristic
59C5×#394C2211yescharacteristic
60C5×#394C2211yescharacteristic
61C5×#388C2211yescharacteristic
62C5×#388C2211yescharacteristic
63C5×#386C2211yescharacteristic
64C5×#386C2211yescharacteristic
65C5×#385C2211yescharacteristic
66C5×#380C2211yescharacteristic
67C5×#379C2211yescharacteristic
68#65536C2211yescharacteristic
69#65511C2211yescharacteristic
70#65511C2211yescharacteristic
71#65510C2211yescharacteristic
72#65509C2211yescharacteristic
73#65509C2211yescharacteristic
74#65509C2211yescharacteristic
75#65509C2211yescharacteristic
76#65509C2211yescharacteristic
77#65502C2211yescharacteristic
78#65502C2211yescharacteristic, complemented
79#65501C2211yescharacteristic
80#65499C2211yescharacteristic
81#65499C2211yescharacteristic, complemented
82#65499C2211yescharacteristic, complemented
83C2×#3963C2211yescharacteristic
84C2×#3963C2211yescharacteristic
85#65283C2211yescharacteristic, complemented
86#65281C2211yescharacteristic, complemented
87#65278C2211yescharacteristic, complemented
88#65273C2211yescharacteristic, complemented
89#65273C2211yescharacteristic, complemented
90#65273C2211yescharacteristic, complemented
91#65271C2211yescharacteristic, complemented
92#65268C2211yescharacteristic, complemented
93#65268C2211yescharacteristic, complemented
94#65268C2211yescharacteristic, complemented
95#65268C2211yescharacteristic, complemented
96#65267C2211yescharacteristic, complemented
97#65267C2211yescharacteristic, complemented
98#65267C2211yescharacteristic, complemented
99#65263C2211yescharacteristic, complemented
100#65262C2211yescharacteristic, complemented
101#65261C2211yescharacteristic, complemented
102#65261C2211yescharacteristic, complemented
103#65250C2211yescharacteristic
104#65250C2211yescharacteristic
105#65250C2211yescharacteristic, complemented
106#65248C2211yescharacteristic
107#65248C2211yescharacteristic
108#65248C2211yescharacteristic, complemented
109#65247C2211yescharacteristic
110#65247C2211yescharacteristic
111#65247C2211yescharacteristic
112#65247C2211yescharacteristic
113#65247C2211yescharacteristic
114#65246C2211yescharacteristic
115#65245C2211yescharacteristic
116#65245C2211yescharacteristic, complemented
117#65242C2211yescharacteristic
118#65241C2211yescharacteristic
119#65241C2211yescharacteristic
120#65241C2211yescharacteristic, complemented
121#65241C2211yescharacteristic, complemented
122#65240C2211yescharacteristic
123#65240C2211yescharacteristic
124#65239C2211yescharacteristic
125#65239C2211yescharacteristic
126#65239C2211yescharacteristic
127#65238C2211yescharacteristic
128#65238C2211yescharacteristic, complemented
129#65237C2211yescharacteristic, complemented
130#65237C2211yescharacteristic, complemented
131#65236C2211yescharacteristic
132#65236C2211yescharacteristic
133#65236C2211yescharacteristic, complemented
134#65235C2211yescharacteristic
135#65235C2211yescharacteristic
136#65235C2211yescharacteristic
137#65234C2211yescharacteristic
138#65234C2211yescharacteristic
139#65234C2211yescharacteristic
140#65233C2211yescharacteristic
141#65233C2211yescharacteristic, complemented
142#65233C2211yescharacteristic, complemented
143#65231C2211yescharacteristic
144#65231C2211yescharacteristic
145#65231C2211yescharacteristic
146#65231C2211yescharacteristic
147#65231C2211yescharacteristic
148#65231C2211yescharacteristic
149#65231C2211yescharacteristic
150#65231C2211yescharacteristic
151#65231C2211yescharacteristic
152#65231C2211yescharacteristic
153#65231C2211yescharacteristic
154#65231C2211yescharacteristic
155#65231C2211yescharacteristic
156#65231C2211yescharacteristic
157C22⋊C4×Dic5C2211yescharacteristic
158C22⋊C4×Dic5C2211yescharacteristic
159#65229C2211yescharacteristic, complemented
160#65222C2211yescharacteristic, complemented
161#65222C2211yescharacteristic, complemented
162#65217C2211yescharacteristic, complemented
163#64965C2211yescharacteristic, complemented
164#64964C2211yescharacteristic, complemented
165#64964C2211yescharacteristic, complemented
166#64962C2211yescharacteristic, complemented
167#64958C2211yescharacteristic, complemented
168#64957C2211yescharacteristic, complemented
169#64949C2211yescharacteristic, complemented
170#64949C2211yescharacteristic, complemented
171#64948C2211yescharacteristic, complemented
172#64947C2211yescharacteristic, complemented
173#64947C2211yescharacteristic, complemented
174#64946C2211yescharacteristic, complemented
175#64946C2211yescharacteristic, complemented
176#64946C2211yescharacteristic, complemented
177#64945C2211yescharacteristic, complemented
178#64945C2211yescharacteristic, complemented
179#64944C2211yescharacteristic, complemented
180#64943C2211yescharacteristic, complemented
181#64942C2211yescharacteristic, complemented
182#64941C2211yescharacteristic, complemented
183#64941C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64941C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36729—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C22×C5×D4C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C22×C22⋊D5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C23×Dic5—24no—
200C23×Dic5—42no—
201C23×Dic5—42no—
202C23×Dic5C2311yescharacteristic
203C23×Dic5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C23×Dic5C2311yescharacteristic
206C23×Dic5C2311yescharacteristic
207C23×Dic5C2311yescharacteristic
208C23×Dic5C2311yescharacteristic
209C23×Dic5C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×Dic10C2311yescharacteristic
212C22×Dic10C2311yescharacteristic
213C22×Dic10C2311yescharacteristic
214C5×#123—42no—
215C5×#120—42no—
216C4×C5×D4—42no—
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4—42no—
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C5×C22⋊C4C2311yescharacteristic
225C2×C5×C22⋊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×C5×C22⋊C4C2311yescharacteristic
239C2×C42×C5C2311yescharacteristic
240#4099—42no—
241C2×C22⋊Dic5—42no—
242C2×C22⋊Dic5C2311yescharacteristic
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
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261C2×C22⋊Dic5C2311yescharacteristic
262#4085—24no—
263#4085—42no—
264#4085—42no—
265#4082—42no—
266C4×C22⋊D5—42no—
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×C4⋊Dic5C2311yescharacteristic
278C2×C4⋊Dic5C2311yescharacteristic
279C2×C4⋊Dic5C2311yescharacteristic
280C2×C4⋊Dic5C2311yescharacteristic
281C2×C4⋊Dic5C2311yescharacteristic
282C2×C4⋊Dic5C2311yescharacteristic
283C2×C4⋊Dic5C2311yescharacteristic
284#4070—42no—
285C2×#683—42no—
286C2×#683—42no—
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
289C2×#683C2311yescharacteristic
290C2×#683C2311yescharacteristic
291C2×#683C2311yescharacteristic
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×#683C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
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×C4×Dic5C2311yescharacteristic
312C2×C4×Dic5C2311yescharacteristic
313C2×C4×Dic5C2311yescharacteristic
314C2×C4×Dic5C2311yescharacteristic
315C2×C4×Dic5C2311yescharacteristic
316#4044—42no—
317#4042—42no—
318#4031—42no—
319#4029—42no—
320#4025—42no—
321#4024—24no—
322#4024—42no—
323#4024—42no—
324#4024—42no—
325#4024—42no—
326C5×#95C2311yescharacteristic
327C5×#95C2311yescharacteristic
328C5×#95C2311yescharacteristic
329C5×#95C2311yescharacteristic
330C5×#95C2311yescharacteristic
331C5×#95C2311yescharacteristic
332#3963C2311yescharacteristic
333#3963C2311yescharacteristic
334#3963C2311yescharacteristic
335#3963C2311yescharacteristic
336#3963C2311yescharacteristic
337#3963C2311yescharacteristic
338#3963C2311yescharacteristic
339#3963C2311yescharacteristic
340#3963C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#2848—51no—
371#2847—51no—
372#2747—51no—
373#2747—51no—
374#2742—51no—
375#2742—51no—
376#2741—51no—
377#2741—51no—
378#2717—51no—
379#2717—51no—
380#2702—51no—
381#2702—51no—
382#2692—51no—
383#2692—51no—
384#2691—51no—
385#2691—51no—
386#2672—51no—
387#2672—51no—
388#2659—51no—
389#2639—51no—
390#2481—51no—
391#2481—51no—
392#2472—51no—
393#2472—51no—
394#2449—51no—
395#2449—51no—
396#2418—51no—
397#2418D511yescharacteristic, complemented
398#2329—51no—
399#2325—51no—
400C2×#380—51no—
401C24×C5—22no—
402C24×C5—22no—
403C24×C5—22no—
404C24×C5—22no—
405C24×C5—22no—
406C24×C5—41no—
407C24×C5—41no—
408C24×C5C2411yescharacteristic
409C24×C5C2411yescharacteristic
410C24×C5C2411yescharacteristic
411C24×C5C2411yescharacteristic
412C23×D5C2411yescharacteristic
413C2×C5×D4—22no—
414C2×C5×D4—22no—
415C2×C5×D4—22no—
416C2×C5×D4—22no—
417C2×C5×D4—22no—
418C2×C5×D4—41no—
419C2×C5×D4—41no—
420C2×C5×D4—41no—
421C2×C5×D4—41no—
422C22×C4×C5—22no—
423C22×C4×C5—22no—
424C22×C4×C5—41no—
425C22×C4×C5—41no—
426C22×C4×C5—41no—
427C22×C4×C5—41no—
428C22×C4×C5—41no—
429C22×C4×C5—41no—
430C22×C4×C5—41no—
431C22×C4×C5C2411yescharacteristic
432C22×C4×C5C2411yescharacteristic
433C22×C4×C5C2411yescharacteristic
434C22×C4×C5C2411yescharacteristic
435C22×C4×C5C2411yescharacteristic
436C22×C4×C5C2411yescharacteristic
437C22×C4×C5C2411yescharacteristic
438C22×C4×C5C2411yescharacteristic
439C22×C4×C5C2411yescharacteristic
440C22×C4×C5C2411yescharacteristic
441C22×C4×C5C2411yescharacteristic
442C2×C22⋊D5—22no—
443C2×C22⋊D5—22no—
444C2×C22⋊D5—22no—
445C2×C22⋊D5—22no—
446C2×C22⋊D5—22no—
447C2×C22⋊D5—22no—
448C2×C22⋊D5—41no—
449C2×C22⋊D5—41no—
450C2×C22⋊D5—41no—
451C2×C22⋊D5—41no—
452C2×C22⋊D5—41no—
453C2×C22⋊D5—41no—
454C22×Dic5—22no—
455C22×Dic5—22no—
456C22×Dic5—22no—
457C22×Dic5—22no—
458C22×Dic5—22no—
459C22×Dic5—22no—
460C22×Dic5—22no—
461C22×Dic5—22no—
462C22×Dic5—22no—
463C22×Dic5—22no—
464C22×Dic5—22no—
465C22×Dic5—22no—
466C22×Dic5—22no—
467C22×Dic5—41no—
468C22×Dic5—41no—
469C22×Dic5—41no—
470C22×Dic5—41no—
471C22×Dic5—41no—
472C22×Dic5—41no—
473C22×Dic5—41no—
474C22×Dic5—41no—
475C22×Dic5—41no—
476C22×Dic5—41no—
477C22×Dic5—416no—
478C22×Dic5#4114yes—
479C22×Dic5C2411yescharacteristic
480C22×Dic5C2411yescharacteristic
481C22×Dic5C2411yescharacteristic
482C22×Dic5C2411yescharacteristic
483C22×Dic5C2411yescharacteristic
484C22×Dic5C2411yescharacteristic
485C22×Dic5C2411yescharacteristic
486C22×Dic5C2411yescharacteristic
487C22×Dic5C2411yescharacteristic
488C22×Dic5C2411yescharacteristic
489C22×Dic5C2411yescharacteristic
490C22×Dic5C2411yescharacteristic
491C22×Dic5C2411yescharacteristic
492C22×Dic5C2411yescharacteristic
493C22×Dic5C2411yescharacteristic
494C2×C4×D5—41no—
495C2×C4×D5—41no—
496C2×C4×D5—41no—
497C2×Dic10—22no—
498C2×Dic10—41no—
499C2×Dic10—41no—
500C2×Dic10—41no—
501C2×Dic10—41no—
502C2×Dic10—41no—
503C2×Dic10—41no—
504C2×Dic10—41no—
505C2×Dic10—41no—
506C5×C4⋊C4—41no—
507C5×C4⋊C4—41no—
508C5×C4⋊C4—41no—
509C5×C4⋊C4—41no—
510C5×C4⋊C4—41no—
511C5×C22⋊C4—22no—
512C5×C22⋊C4—22no—
513C5×C22⋊C4—22no—
514C5×C22⋊C4—22no—
515C5×C22⋊C4—22no—
516C5×C22⋊C4—22no—
517C5×C22⋊C4—22no—
518C5×C22⋊C4—41no—
519C5×C22⋊C4—41no—
520C5×C22⋊C4—41no—
521C5×C22⋊C4—41no—
522C5×C22⋊C4—41no—
523C5×C22⋊C4—41no—
524C5×C22⋊C4—41no—
525C5×C22⋊C4—41no—
526C5×C22⋊C4—41no—
527C42×C5—41no—
528C22⋊Dic5—22no—
529C22⋊Dic5—22no—
530C22⋊Dic5—22no—
531C22⋊Dic5—22no—
532C22⋊Dic5—22no—
533C22⋊Dic5—22no—
534C22⋊Dic5—22no—
535C22⋊Dic5—22no—
536C22⋊Dic5—22no—
537C22⋊Dic5—22no—
538C22⋊Dic5—41no—
539C22⋊Dic5—41no—
540C22⋊Dic5—41no—
541C22⋊Dic5—41no—
542C22⋊Dic5—41no—
543C22⋊Dic5—41no—
544C22⋊Dic5—41no—
545C22⋊Dic5—41no—
546C22⋊Dic5—41no—
547C22⋊Dic5—41no—
548#685—22no—
549#685—22no—
550#685—22no—
551#685—41no—
552#685—41no—
553#685—41no—
554#685—41no—
555#685—41no—
556#685—41no—
557#685—41no—
558C4⋊Dic5—22no—
559C4⋊Dic5—22no—
560C4⋊Dic5—22no—
561C4⋊Dic5—41no—
562C4⋊Dic5—41no—
563C4⋊Dic5—41no—
564C4⋊Dic5—41no—
565#683—22no—
566#683—22no—
567#683—22no—
568#683—22no—
569#683—22no—
570#683—22no—
571#683—22no—
572#683—22no—
573#683—22no—
574#683—41no—
575#683—41no—
576#683—41no—
577#683—41no—
578#683—41no—
579#683—41no—
580#683—41no—
581#683—41no—
582#683—41no—
583#683—41no—
584#683—41no—
585#683—41no—
586#683—41no—
587#683—41no—
588#683—41no—
589C4×Dic5—41no—
590C4×Dic5—41no—
591C4×Dic5—41no—
592C4×Dic5—41no—
593C4×Dic5—41no—
594C24×C4—51no—
595C2×#126—51no—
596C2×#126—51no—
597C2×#124—51no—
598C2×#124—51no—
599C2×#123—51no—
600C2×#123C2×D511yescharacteristic
601C2×C22⋊Q8—51no—
602C2×C22⋊Q8—51no—
603C2×C22⋊Q8—51no—
604C2×C22⋊Q8—51no—
605C2×C22⋊Q8—51no—
606C2×C22⋊Q8—51no—
607C2×C22⋊Q8—51no—
608C2×#121—51no—
609C2×#121—51no—
610C2×#121—51no—
611C2×#120—51no—
612C2×#120C2×D511yescharacteristic
613C2×C4×D4—51no—
614C2×C4×D4C2×D511yescharacteristic
615C22×C4⋊C4—51no—
616C22×C4⋊C4—51no—
617C22×C22⋊C4—51no—
618C22×C22⋊C4C2×D511yescharacteristic
619#400—51no—
620#400—51no—
621#400—51no—
622#400—51no—
623#400—51no—
624#400—51no—
625#399—51no—
626#399—51no—
627#399—51no—
628#399C2×D511yescharacteristic
629#398—51no—
630#398—51no—
631#398—51no—
632#398—51no—
633#398—51no—
634#398—51no—
635#397—51no—
636#397—51no—
637#397—51no—
638#397—51no—
639#397—51no—
640#397—51no—
641#397—51no—
642#397C2×D511yescharacteristic
643#396—51no—
644#396—51no—
645#396—51no—
646#396—51no—
647#395—51no—
648#395—51no—
649#395—51no—
650#395—51no—
651#395—51no—
652#395—51no—
653#394—51no—
654#394—51no—
655#394—51no—
656#394—51no—
657#394—51no—
658#394—51no—
659#394—51no—
660#394—51no—
661#394C2×D511yescharacteristic
662#394C2×D511yescharacteristic
663#393—51no—
664#393—51no—
665#393—51no—
666#393—51no—
667#391—51no—
668#391—51no—
669#390—51no—
670#390—51no—
671#389—51no—
672#389—51no—
673#389—51no—
674#389—51no—
675#388—51no—
676#388—51no—
677#388—51no—
678#388—51no—
679#388—51no—
680#388—51no—
681#388—51no—
682#388—51no—
683#388—51no—
684#388—51no—
685#388C2×D511yescharacteristic
686#388C2×D511yescharacteristic
687#387—51no—
688#387—51no—
689#387—51no—
690#387—51no—
691#387—51no—
692#387—51no—
693#387—51no—
694#387—51no—
695#387—51no—
696#387—51no—
697#387—51no—
698#387—51no—
699#386—51no—
700#386—51no—
701#386—51no—
702#386—51no—
703#386—51no—
704#386—51no—
705#386—51no—
706#386—51no—
707#386—51no—
708#386—51no—
709#386—51no—
710#386—51no—
711#386—51no—
712#386—51no—
713#386C2×D511yescharacteristic
714#386C2×D511yescharacteristic
715#385—51no—
716#385—51no—
717#385—51no—
718#385—51no—
719#385—51no—
720#385—51no—
721#385—51no—
722#385—51no—
723#385—51no—
724#385—51no—
725#385—51no—
726#385C2×D511yescharacteristic
727#380—51no—
728#380—51no—
729#380—51no—
730#380—51no—
731#380—51no—
732#380—51no—
733#380—51no—
734#380—51no—
735#380—51no—
736#380—51no—
737#380—51no—
738#380—51no—
739#380—51no—
740#380—51no—
741#380—51no—
742#380C2×D511yescharacteristic
743#379—51no—
744#379C2×D511yescharacteristic
745C4×C22⋊C4—51no—
746C4×C22⋊C4—51no—
747C2×#95—51no—
748C2×#95—51no—
749C23×C5—21no—
750C23×C5—21no—
751C23×C5—21no—
752C23×C5—21no—
753C23×C5—28no—
754C23×C5—21no—
755C23×C5—21no—
756C23×C5—21no—
757C23×C5—21no—
758C23×C5—21no—
759C23×C5—21no—
760C23×C5—21no—
761C23×C5—21no—
762C23×C5—21no—
763C23×C5—21no—
764C23×C5—21no—
765C23×C5—21no—
766C23×C5—21no—
767C23×C5—21no—
768C23×C5—21no—
769C23×C5—21no—
770C23×C5—21no—
771C23×C5—21no—
772C23×C5—21no—
773C23×C5—44no—
774C23×C5—44no—
775C23×C5—44no—
776C23×C5—44no—
777C23×C5—44no—
778C23×C5—44no—
779C23×C5C2×#4112yes—
780C23×C5H(5,𝔽2)12yes—
781C23×C5H(5,𝔽2)12yes—
782C23×C52−1+412yes—
783C23×C52−1+412yes—
784C23×C5C2511yescharacteristic
785C22×D5—21no—
786C22×D5—21no—
787C22×D5—21no—
788C22×D5—21no—
789C22×D5—21no—
790C22×D5—21no—
791C22×D5—21no—
792C5×D4—44no—
793C5×D4—82no—
794C5×D4—82no—
795C2×C4×C5—21no—
796C2×C4×C5—21no—
797C2×C4×C5—21no—
798C2×C4×C5—21no—
799C2×C4×C5—21no—
800C2×C4×C5—21no—
801C2×C4×C5—21no—
802C2×C4×C5—21no—
803C2×C4×C5—21no—
804C2×C4×C5—21no—
805C2×C4×C5—21no—
806C2×C4×C5—21no—
807C2×C4×C5—21no—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—82no—
829C2×C4×C5—82no—
830C2×C4×C5—82no—
831C22⋊D5—44no—
832C22⋊D5—82no—
833C22⋊D5—82no—
834C22⋊D5—82no—
835C2×Dic5—28no—
836C2×Dic5—21no—
837C2×Dic5—21no—
838C2×Dic5—21no—
839C2×Dic5—21no—
840C2×Dic5—21no—
841C2×Dic5—21no—
842C2×Dic5—21no—
843C2×Dic5—21no—
844C2×Dic5—21no—
845C2×Dic5—21no—
846C2×Dic5—21no—
847C2×Dic5—21no—
848C2×Dic5—21no—
849C2×Dic5—21no—
850C2×Dic5—21no—
851C2×Dic5—21no—
852C2×Dic5—21no—
853C2×Dic5—21no—
854C2×Dic5—21no—
855C2×Dic5—21no—
856C2×Dic5—21no—
857C2×Dic5—21no—
858C2×Dic5—21no—
859C2×Dic5—21no—
860C2×Dic5—21no—
861C2×Dic5—21no—
862C2×Dic5—21no—
863C2×Dic5—21no—
864C2×Dic5—21no—
865C2×Dic5—21no—
866C2×Dic5—21no—
867C2×Dic5—21no—
868C2×Dic5—21no—
869C2×Dic5—21no—
870C2×Dic5—21no—
871C2×Dic5—21no—
872C2×Dic5—21no—
873C2×Dic5—21no—
874C2×Dic5—21no—
875C2×Dic5—21no—
876C2×Dic5—21no—
877C2×Dic5—44no—
878C2×Dic5—44no—
879C2×Dic5—44no—
880C2×Dic5—44no—
881C2×Dic5—44no—
882C2×Dic5—82no—
883C2×Dic5—82no—
884C2×Dic5C2×#4112yes—
885C2×Dic5C2×#4112yes—
886C2×Dic5H(5,𝔽2)12yes—
887C2×Dic5H(5,𝔽2)12yes—
888C4×D5—82no—
889Dic10—82no—
890Dic10—82no—
891Dic10—82no—
892C25C22×D511yescharacteristic
893C22×Q8—51no—
894C22×Q8—51no—
895C22×Q8—51no—
896C22×D4—51no—
897C22×D4—51no—
898C22×D4—51no—
899C22×D4—51no—
900C22×D4C22×D511yescharacteristic
901C22×D4C22×D511yescharacteristic
902C22×D4C22×D511yescharacteristic
903C23×C4—51no—
904C23×C4—51no—
905C23×C4—51no—
906C23×C4—51no—
907C23×C4—51no—
908C23×C4—51no—
909C23×C4—51no—
910C23×C4—51no—
911C23×C4—51no—
912C23×C4—104no—
913C23×C4—202no—
914C23×C4—202no—
915C23×C4C22×D511yescharacteristic
916C23×C4C22×D511yescharacteristic
917C23×C4C22×D511yescharacteristic
918#126—202no—
919#126—202no—
920#124—202no—
921#124—202no—
922#123—42no—
923#123—202no—
924C22⋊Q8—104no—
925C22⋊Q8—202no—
926C22⋊Q8—202no—
927C22⋊Q8—202no—
928C22⋊Q8—202no—
929C22⋊Q8—202no—
930C22⋊Q8—202no—
931#121—104no—
932#121—202no—
933#121—202no—
934#120—42no—
935#120—202no—
936C4×D4—42no—
937C4×D4—202no—
938C2×C4⋊C4—51no—
939C2×C4⋊C4—51no—
940C2×C4⋊C4—51no—
941C2×C4⋊C4—51no—
942C2×C4⋊C4—51no—
943C2×C4⋊C4—51no—
944C2×C4⋊C4—51no—
945C2×C4⋊C4—51no—
946C2×C4⋊C4—51no—
947C2×C4⋊C4—51no—
948C2×C4⋊C4—51no—
949C2×C4⋊C4—51no—
950C2×C4⋊C4—51no—
951C2×C4⋊C4—51no—
952C2×C4⋊C4—51no—
953C2×C4⋊C4—51no—
954C2×C4⋊C4—51no—
955C2×C4⋊C4—51no—
956C2×C4⋊C4—51no—
957C2×C4⋊C4—51no—
958C2×C4⋊C4—51no—
959C2×C4⋊C4—51no—
960C2×C4⋊C4—51no—
961C2×C4⋊C4—51no—
962C2×C4⋊C4—51no—
963C2×C4⋊C4—51no—
964C2×C4⋊C4—51no—
965C2×C4⋊C4—51no—
966C2×C4⋊C4—51no—
967C2×C4⋊C4—51no—
968C2×C4⋊C4—51no—
969C2×C4⋊C4—202no—
970C2×C4⋊C4—202no—
971C2×C4⋊C4C22×D511yescharacteristic
972C2×C4⋊C4C22×D511yescharacteristic
973C2×C4⋊C4C22×D511yescharacteristic
974C2×C4⋊C4C22×D511yescharacteristic
975C2×C4⋊C4C22×D511yescharacteristic
976C2×C22⋊C4—42no—
977C2×C22⋊C4—51no—
978C2×C22⋊C4—51no—
979C2×C22⋊C4—51no—
980C2×C22⋊C4—51no—
981C2×C22⋊C4—51no—
982C2×C22⋊C4—51no—
983C2×C22⋊C4—51no—
984C2×C22⋊C4—51no—
985C2×C22⋊C4—51no—
986C2×C22⋊C4—51no—
987C2×C22⋊C4—51no—
988C2×C22⋊C4—51no—
989C2×C22⋊C4—51no—
990C2×C22⋊C4—51no—
991C2×C22⋊C4—51no—
992C2×C22⋊C4—51no—
993C2×C22⋊C4—51no—
994C2×C22⋊C4—51no—
995C2×C22⋊C4—51no—
996C2×C22⋊C4—51no—
997C2×C22⋊C4—51no—
998C2×C22⋊C4—51no—
999C2×C22⋊C4—51no—
1000C2×C22⋊C4—51no—
1001C2×C22⋊C4—51no—
1002C2×C22⋊C4—51no—
1003C2×C22⋊C4—51no—
1004C2×C22⋊C4—51no—
1005C2×C22⋊C4—51no—
1006C2×C22⋊C4—51no—
1007C2×C22⋊C4—202no—
1008C2×C22⋊C4C22×D511yescharacteristic
1009C2×C22⋊C4C22×D511yescharacteristic
1010C2×C22⋊C4C22×D511yescharacteristic
1011C2×C22⋊C4C22×D511yescharacteristic
1012C2×C22⋊C4C22×D511yescharacteristic
1013C2×C22⋊C4C22×D511yescharacteristic
1014C2×C22⋊C4C22×D511yescharacteristic
1015C2×C22⋊C4C22×D511yescharacteristic
1016C2×C22⋊C4C22×D511yescharacteristic
1017C2×C22⋊C4C22×D511yescharacteristic
1018C2×C22⋊C4C22×D511yescharacteristic
1019C2×C22⋊C4C22×D511yescharacteristic
1020C2×C22⋊C4C22×D511yescharacteristic
1021C2×C22⋊C4C22×D511yescharacteristic
1022C2×C22⋊C4C22×D511yescharacteristic
1023C2×C22⋊C4C22×D511yescharacteristic
1024C2×C42—51no—
1025C2×C42—51no—
1026C2×C42—51no—
1027C2×C42—51no—
1028C2×C42—51no—
1029C2×C42C22×D511yescharacteristic
1030#95—51no—
1031#95—51no—
1032#95—51no—
1033#95—51no—
1034#95—51no—
1035#95—51no—
1036#95—51no—
1037#95—51no—
1038#95—51no—
1039#95—51no—
1040#95—51no—
1041#95—51no—
1042#95—51no—
1043#95—51no—
1044#95—51no—
1045#95—51no—
1046#95—51no—
1047#95—51no—
1048#95—51no—
1049#95—51no—
1050#95—51no—
1051#95—51no—
1052#95—51no—
1053#95—51no—
1054#95—51no—
1055#95—51no—
1056#95—51no—
1057#95—51no—
1058#95—51no—
1059#95—51no—
1060#95—51no—
1061#95—51no—
1062#95—51no—
1063#95—51no—
1064#95—51no—
1065#95—51no—
1066#95—51no—
1067#95—51no—
1068#95C22×D511yescharacteristic
1069#95C22×D511yescharacteristic
1070#95C22×D511yescharacteristic
1071#95C22×D511yescharacteristic
1072#95C22×D511yescharacteristic
1073#95C22×D511yescharacteristic
1074C22×C5—22no—
1075C22×C5—22no—
1076C22×C5—22no—
1077C22×C5—22no—
1078C22×C5—22no—
1079C22×C5—22no—
1080C22×C5—22no—
1081C22×C5—22no—
1082C22×C5—22no—
1083C22×C5—22no—
1084C22×C5—22no—
1085C22×C5—22no—
1086C22×C5—416no—
1087C22×C5—41no—
1088C22×C5—41no—
1089C22×C5—41no—
1090C22×C5—41no—
1091C22×C5—41no—
1092C22×C5—41no—
1093C22×C5—41no—
1094C22×C5—41no—
1095C22×C5—41no—
1096C22×C5—41no—
1097C22×C5—41no—
1098C22×C5—41no—
1099C22×C5—41no—
1100C22×C5—41no—
1101C22×C5—41no—
1102C22×C5#54214yes—
1103C22×C5C22×#4111yescharacteristic
1104C22×C5C2×H(5,𝔽2)11yescharacteristic
1105C22×C5C2×H(5,𝔽2)11yescharacteristic
1106C22×C5C2×H(5,𝔽2)11yescharacteristic
1107C22×C5C2×H(5,𝔽2)11yescharacteristic
1108C22×C5C2×2−1+411yescharacteristic
1109C22×C5C2×2−1+411yescharacteristic
1110C2×D5—41no—
1111C2×D5—41no—
1112C2×D5—41no—
1113C2×D5—41no—
1114C2×D5—41no—
1115C2×D5—41no—
1116C2×D5—41no—
1117C4×C5—41no—
1118C4×C5—41no—
1119C4×C5—41no—
1120C4×C5—41no—
1121C4×C5—41no—
1122C4×C5—41no—
1123C4×C5—41no—
1124C4×C5—41no—
1125C4×C5—41no—
1126C4×C5—41no—
1127C4×C5—41no—
1128Dic5—22no—
1129Dic5—22no—
1130Dic5—22no—
1131Dic5—22no—
1132Dic5—41no—
1133Dic5—41no—
1134Dic5—41no—
1135Dic5—41no—
1136Dic5—41no—
1137Dic5—41no—
1138Dic5—41no—
1139Dic5—41no—
1140Dic5—41no—
1141Dic5—41no—
1142Dic5—41no—
1143C24—22no—
1144C24—22no—
1145C24—22no—
1146C24—22no—
1147C24—22no—
1148C24—41no—
1149C24—41no—
1150C24—51no—
1151C24C23×D511yescharacteristic
1152C24C23×D511yescharacteristic
1153C24C23×D511yescharacteristic
1154C24C23×D511yescharacteristic
1155C2×Q8—102no—
1156C2×Q8—201no—
1157C2×Q8—201no—
1158C2×Q8—201no—
1159C2×Q8—201no—
1160C2×Q8—201no—
1161C2×Q8—201no—
1162C2×Q8—201no—
1163C2×Q8—201no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—102no—
1174C2×D4—102no—
1175C2×D4—102no—
1176C2×D4—102no—
1177C2×D4—102no—
1178C2×D4—102no—
1179C2×D4—201no—
1180C2×D4—201no—
1181C2×D4—201no—
1182C2×D4—201no—
1183C2×D4—201no—
1184C2×D4—201no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—51no—
1195C22×C4—51no—
1196C22×C4—51no—
1197C22×C4—51no—
1198C22×C4—54no—
1199C22×C4—51no—
1200C22×C4—51no—
1201C22×C4—51no—
1202C22×C4—51no—
1203C22×C4—51no—
1204C22×C4—51no—
1205C22×C4—51no—
1206C22×C4—51no—
1207C22×C4—51no—
1208C22×C4—51no—
1209C22×C4—51no—
1210C22×C4—102no—
1211C22×C4—102no—
1212C22×C4—102no—
1213C22×C4—102no—
1214C22×C4—102no—
1215C22×C4—102no—
1216C22×C4—102no—
1217C22×C4—102no—
1218C22×C4—102no—
1219C22×C4—102no—
1220C22×C4—102no—
1221C22×C4—102no—
1222C22×C4—102no—
1223C22×C4—201no—
1224C22×C4—201no—
1225C22×C4—201no—
1226C22×C4—201no—
1227C22×C4—201no—
1228C22×C4—201no—
1229C22×C4—201no—
1230C22×C4—201no—
1231C22×C4—201no—
1232C22×C4—201no—
1233C22×C4—201no—
1234C22×C4—201no—
1235C22×C4—201no—
1236C22×C4—2016no—
1237C22×C4C23×D511yescharacteristic
1238C22×C4C23×D511yescharacteristic
1239C22×C4C23×D511yescharacteristic
1240C22×C4C23×D511yescharacteristic
1241C22×C4C23×D511yescharacteristic
1242C22×C4C23×D511yescharacteristic
1243C22×C4C23×D511yescharacteristic
1244C22×C4C23×D511yescharacteristic
1245C22×C4C23×D511yescharacteristic
1246C22×C4C23×D511yescharacteristic
1247C22×C4C23×D511yescharacteristic
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—102no—
1254C4⋊C4—102no—
1255C4⋊C4—102no—
1256C4⋊C4—102no—
1257C4⋊C4—102no—
1258C4⋊C4—102no—
1259C4⋊C4—102no—
1260C4⋊C4—102no—
1261C4⋊C4—102no—
1262C4⋊C4—102no—
1263C4⋊C4—102no—
1264C4⋊C4—102no—
1265C4⋊C4—201no—
1266C4⋊C4—201no—
1267C4⋊C4—201no—
1268C4⋊C4—201no—
1269C4⋊C4—201no—
1270C4⋊C4—201no—
1271C4⋊C4—201no—
1272C4⋊C4—201no—
1273C4⋊C4—201no—
1274C4⋊C4—201no—
1275C4⋊C4—201no—
1276C4⋊C4—201no—
1277C4⋊C4—201no—
1278C4⋊C4—201no—
1279C4⋊C4—201no—
1280C4⋊C4—201no—
1281C4⋊C4—201no—
1282C4⋊C4—201no—
1283C4⋊C4—201no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—102no—
1301C22⋊C4—102no—
1302C22⋊C4—102no—
1303C22⋊C4—102no—
1304C22⋊C4—102no—
1305C22⋊C4—102no—
1306C22⋊C4—102no—
1307C22⋊C4—102no—
1308C22⋊C4—102no—
1309C22⋊C4—102no—
1310C22⋊C4—102no—
1311C22⋊C4—102no—
1312C22⋊C4—102no—
1313C22⋊C4—201no—
1314C22⋊C4—201no—
1315C22⋊C4—201no—
1316C22⋊C4—201no—
1317C22⋊C4—201no—
1318C22⋊C4—201no—
1319C22⋊C4—201no—
1320C22⋊C4—201no—
1321C22⋊C4—201no—
1322C22⋊C4—201no—
1323C22⋊C4—201no—
1324C22⋊C4—201no—
1325C22⋊C4—201no—
1326C22⋊C4—201no—
1327C22⋊C4—201no—
1328C22⋊C4—201no—
1329C22⋊C4—201no—
1330C42—41no—
1331C42—201no—
1332C42—201no—
1333C42—201no—
1334C42—201no—
1335C42—201no—
1336C2×C5—24no—
1337C2×C5—42no—
1338C2×C5—42no—
1339C2×C5—81no—
1340C2×C5C2×#54211yescharacteristic
1341C2×C5#349011yescharacteristic
1342C2×C5#349211yescharacteristic
1343C2×C5#353611yescharacteristic
1344C2×C5#353611yescharacteristic
1345C2×C5#353711yescharacteristic
1346C2×C5#353811yescharacteristic
1347D5—81no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—28no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—44no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—101no—
1379C23—101no—
1380C23—101no—
1381C23—101no—
1382C23—101no—
1383C23—101no—
1384C23—101no—
1385C23#414412yes—
1386C23#414412yes—
1387C23D5×#4112yes—
1388C23#415012yes—
1389C23#415012yes—
1390C23C24×D511yescharacteristic
1391Q8—402no—
1392Q8—402no—
1393Q8—402no—
1394D4—44no—
1395D4—82no—
1396D4—82no—
1397D4—204no—
1398D4—402no—
1399D4—402no—
1400D4—402no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—52no—
1435C2×C4—52no—
1436C2×C4—52no—
1437C2×C4—52no—
1438C2×C4—82no—
1439C2×C4—82no—
1440C2×C4—82no—
1441C2×C4—108no—
1442C2×C4—101no—
1443C2×C4—101no—
1444C2×C4—101no—
1445C2×C4—101no—
1446C2×C4—101no—
1447C2×C4—101no—
1448C2×C4—101no—
1449C2×C4—101no—
1450C2×C4—101no—
1451C2×C4—101no—
1452C2×C4—101no—
1453C2×C4—101no—
1454C2×C4—101no—
1455C2×C4—101no—
1456C2×C4—101no—
1457C2×C4—101no—
1458C2×C4—101no—
1459C2×C4—101no—
1460C2×C4—101no—
1461C2×C4—101no—
1462C2×C4—101no—
1463C2×C4—101no—
1464C2×C4—101no—
1465C2×C4—101no—
1466C2×C4—101no—
1467C2×C4—101no—
1468C2×C4—101no—
1469C2×C4—101no—
1470C2×C4—101no—
1471C2×C4—101no—
1472C2×C4—101no—
1473C2×C4—101no—
1474C2×C4—101no—
1475C2×C4—101no—
1476C2×C4—101no—
1477C2×C4—101no—
1478C2×C4—101no—
1479C2×C4—101no—
1480C2×C4—101no—
1481C2×C4—101no—
1482C2×C4—101no—
1483C2×C4—204no—
1484C2×C4—204no—
1485C2×C4—204no—
1486C2×C4—204no—
1487C2×C4—204no—
1488C2×C4—402no—
1489C2×C4—402no—
1490C2×C4—402no—
1491C5#3672911yescharacteristic, complemented, Sylow
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—416no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—201no—
1521C22—201no—
1522C22—201no—
1523C22—201no—
1524C22—201no—
1525C22—201no—
1526C22—201no—
1527C22#6599614yes—
1528C22C2×#414411yescharacteristic
1529C22C2×#414411yescharacteristic
1530C22C2×D5×#4111yescharacteristic
1531C22C2×#415011yescharacteristic
1532C22C2×#415011yescharacteristic
1533C22D5×H(5,𝔽2)11yescharacteristic
1534C22D5×H(5,𝔽2)11yescharacteristic
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—102no—
1547C4—102no—
1548C4—102no—
1549C4—102no—
1550C4—201no—
1551C4—201no—
1552C4—201no—
1553C4—201no—
1554C4—201no—
1555C4—201no—
1556C4—201no—
1557C4—201no—
1558C4—201no—
1559C4—201no—
1560C4—201no—
1561C2—24no—
1562C2—42no—
1563C2—42no—
1564C2—81no—
1565C2—401no—
1566C2C2×#6599611yescharacteristic
1567C2#1061792611yescharacteristic
1568C2#1061831511yescharacteristic
1569C2#1061851511yescharacteristic
1570C2#1061854811yescharacteristic
1571C2#1061854811yescharacteristic
1572C2#1061870411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2418C2
prime radical#10614332C2
hypercenter#2418D5
hypocenterC5#36729
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C5×#2418C2semidirect
2. #10614617C2semidirect
3. #10614600C2semidirect
5. #10614320C2semidirect
6. #10614091C2semidirect
7. #10614058C2semidirect
8. #10613859C2semidirect
9. C2×#65231C2semidirect
10. #10609807C2semidirect
11. #10609793C2semidirect
12. #10609433C2semidirect
13. #10609333C2semidirect
14. #10608863C2semidirect
15. #10608781C2semidirect
16. #10608754C2semidirect
17. #10608744C2semidirect
18. #10607460C2semidirect
19. #10607453C2semidirect
20. #10607451C2semidirect
21. #10607412C2semidirect
22. #10606534C2semidirect
23. #10606531C2semidirect
24. #10606516C2semidirect
25. #10606467C2semidirect
26. #10606152C2semidirect
27. #10606118C2semidirect
28. #10605688C2semidirect
29. #10605641C2semidirect
30. #10605577C2semidirect
31. #10605560C2semidirect
44. C2×#4070C22semidirect
47. C2×#4044C22semidirect
48. C2×#4042C22semidirect
51. C2×#4025C22semidirect
78. #65502C22semidirect
81. #65499C22semidirect
82. #65499C22semidirect
85. #65283C22semidirect
86. #65281C22semidirect
87. #65278C22semidirect
88. #65273C22semidirect
89. #65273C22semidirect
90. #65273C22semidirect
91. #65271C22semidirect
92. #65268C22semidirect
93. #65268C22semidirect
94. #65268C22semidirect
95. #65268C22semidirect
96. #65267C22semidirect
97. #65267C22semidirect
98. #65267C22semidirect
99. #65263C22semidirect
100. #65262C22semidirect
101. #65261C22semidirect
102. #65261C22semidirect
105. #65250C22semidirect
108. #65248C22semidirect
116. #65245C22semidirect
120. #65241C22semidirect
121. #65241C22semidirect
128. #65238C22semidirect
129. #65237C22semidirect
130. #65237C22semidirect
133. #65236C22semidirect
141. #65233C22semidirect
142. #65233C22semidirect
159. #65229C22semidirect
160. #65222C22semidirect
161. #65222C22semidirect
162. #65217C22semidirect
163. #64965C22semidirect
164. #64964C22semidirect
165. #64964C22semidirect
166. #64962C22semidirect
167. #64958C22semidirect
168. #64957C22semidirect
169. #64949C22semidirect
170. #64949C22semidirect
171. #64948C22semidirect
172. #64947C22semidirect
173. #64947C22semidirect
174. #64946C22semidirect
175. #64946C22semidirect
176. #64946C22semidirect
177. #64945C22semidirect
178. #64945C22semidirect
179. #64944C22semidirect
180. #64943C22semidirect
181. #64942C22semidirect
182. #64941C22semidirect
183. #64941C22semidirect
184. #64941C22semidirect
185. #64941C22semidirect
186. #64935C22semidirect
397. #2418D5semidirect
1491. C5#36729semidirect

Maximal subgroups

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

subgroupindex
C5×#24182
#106146172
#106146002
#106143322
#106143202
#106140912
#106140582
#106138592
C2×#652312
#106098072
#106097932
#106094332
#106093332
#106088632
#106087812
#106087542
#106087442
#106074602
#106074532
#106074512
#106074122
#106065342
#106065312
#106065162
#106064672
#106061522
#106061182
#106056882
#106056412
#106055772
#106055602
#367295