Finite Group Databasebeta

← #12307720

Subgroups — #12307720

Order 1280.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2850C211yesmaximal, characteristic, complemented
2#10614737C211yesmaximal, characteristic, complemented
3#10614736C211yesmaximal, characteristic, complemented
4#10614547C211yesmaximal, characteristic, complemented
5#10614502C211yesmaximal, characteristic, complemented
6#10614433C211yesmaximal, characteristic
7#10614376C211yesmaximal, characteristic, complemented
8#10613809C211yesmaximal, characteristic, complemented
9C2×#65229C211yesmaximal, characteristic, complemented
10#10608318C211yesmaximal, characteristic, complemented
11#10608296C211yesmaximal, characteristic, complemented
12#10608198C211yesmaximal, characteristic, complemented
13#10608137C211yesmaximal, characteristic, complemented
14#10607679C211yesmaximal, characteristic, complemented
15#10607666C211yesmaximal, characteristic, complemented
16#10607665C211yesmaximal, characteristic, complemented
17#10607506C211yesmaximal, characteristic, complemented
18#10607500C211yesmaximal, characteristic, complemented
19#10607471C211yesmaximal, characteristic, complemented
20#10607454C211yesmaximal, characteristic, complemented
21#10607452C211yesmaximal, characteristic, complemented
22#10606606C211yesmaximal, characteristic, complemented
23#10606605C211yesmaximal, characteristic, complemented
24#10606513C211yesmaximal, characteristic, complemented
25#10606512C211yesmaximal, characteristic, complemented
26#10606476C211yesmaximal, characteristic, complemented
27#10606437C211yesmaximal, characteristic, complemented
28#10606421C211yesmaximal, characteristic, complemented
29#10606417C211yesmaximal, characteristic, complemented
30#10605983C211yesmaximal, characteristic, complemented
31#10605982C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C2×C5×#124C2211yescharacteristic, complemented
34C2×C5×C22⋊Q8C2211yescharacteristic, complemented
35C2×C5×#121C2211yescharacteristic
36C22×C42×C5C2211yescharacteristic, complemented
37C2×#4092C2211yescharacteristic, complemented
38C2×#4085C2211yescharacteristic
39C2×#4083C2211yescharacteristic
40C2×#4083C2211yescharacteristic
41C2×#4081C2211yescharacteristic
42C2×#4081C2211yescharacteristic, complemented
43C2×D4×Dic5C2211yescharacteristic, complemented
44C22×#685C2211yescharacteristic
45C22×#685C2211yescharacteristic
46C22×#685C2211yescharacteristic
47C22×#683C2211yescharacteristic, complemented
48C2×#4032C2211yescharacteristic
49C2×D5×C22⋊C4C2211yescharacteristic
50C2×#4022C2211yescharacteristic, complemented
51C5×#391C2211yescharacteristic, complemented
52C5×#390C2211yescharacteristic, complemented
53C5×#388C2211yescharacteristic, complemented
54C5×#388C2211yescharacteristic, complemented
55C5×#388C2211yescharacteristic, complemented
56C5×#388C2211yescharacteristic, complemented
57C5×#386C2211yescharacteristic
58C5×#386C2211yescharacteristic
59C5×#386C2211yescharacteristic, complemented
60C5×#386C2211yescharacteristic, complemented
61C5×#382C2211yescharacteristic, complemented
62#65520C2211yescharacteristic
63#65520C2211yescharacteristic, complemented
64#65519C2211yescharacteristic, complemented
65#65512C2211yescharacteristic
66#65511C2211yescharacteristic, complemented
67#65509C2211yescharacteristic
68#65509C2211yescharacteristic
69#65509C2211yescharacteristic, complemented
70#65502C2211yescharacteristic
71#65502C2211yescharacteristic
72#65502C2211yescharacteristic
73#65499C2211yescharacteristic, complemented
74#65499C2211yescharacteristic, complemented
75#65499C2211yescharacteristic, complemented
76C2×#3963C2211yescharacteristic, complemented
77C2×#3963C2211yescharacteristic, complemented
78#65283C2211yescharacteristic
79#65283C2211yescharacteristic
80#65282C2211yescharacteristic, complemented
81#65281C2211yescharacteristic
82#65280C2211yescharacteristic
83#65279C2211yescharacteristic, complemented
84#65279C2211yescharacteristic, complemented
85#65278C2211yescharacteristic
86#65278C2211yescharacteristic, complemented
87#65278C2211yescharacteristic, complemented
88#65276C2211yescharacteristic, complemented
89#65275C2211yescharacteristic, complemented
90#65275C2211yescharacteristic, complemented
91#65273C2211yescharacteristic, complemented
92#65266C2211yescharacteristic, complemented
93#65261C2211yescharacteristic, complemented
94#65250C2211yescharacteristic
95#65250C2211yescharacteristic
96#65250C2211yescharacteristic, complemented
97#65249C2211yescharacteristic
98#65248C2211yescharacteristic
99#65248C2211yescharacteristic
100#65248C2211yescharacteristic
101#65248C2211yescharacteristic, complemented
102#65248C2211yescharacteristic, complemented
103#65247C2211yescharacteristic
104#65247C2211yescharacteristic
105#65247C2211yescharacteristic, complemented
106#65247C2211yescharacteristic, complemented
107#65246C2211yescharacteristic
108#65246C2211yescharacteristic, complemented
109#65245C2211yescharacteristic
110#65245C2211yescharacteristic
111#65245C2211yescharacteristic
112#65245C2211yescharacteristic, complemented
113#65245C2211yescharacteristic, complemented
114#65244C2211yescharacteristic
115#65244C2211yescharacteristic
116#65244C2211yescharacteristic
117#65244C2211yescharacteristic
118#65244C2211yescharacteristic
119#65244C2211yescharacteristic
120#65242C2211yescharacteristic, complemented
121#65241C2211yescharacteristic, complemented
122#65241C2211yescharacteristic, complemented
123#65241C2211yescharacteristic, complemented
124#65241C2211yescharacteristic, complemented
125#65241C2211yescharacteristic, complemented
126#65239C2211yescharacteristic, complemented
127#65238C2211yescharacteristic, complemented
128#65238C2211yescharacteristic, complemented
129#65237C2211yescharacteristic, complemented
130#65237C2211yescharacteristic, complemented
131#65237C2211yescharacteristic, complemented
132#65234C2211yescharacteristic, complemented
133#65234C2211yescharacteristic, complemented
134#65233C2211yescharacteristic, complemented
135#65232C2211yescharacteristic, complemented
136#65232C2211yescharacteristic, complemented
137#65231C2211yescharacteristic, complemented
138#65231C2211yescharacteristic, complemented
139C22⋊C4×Dic5C2211yescharacteristic, complemented
140#65229C2211yescharacteristic
141#65229C2211yescharacteristic
142#65229C2211yescharacteristic
143#65229C2211yescharacteristic
144#65229C2211yescharacteristic, complemented
145#65229C2211yescharacteristic, complemented
146#65229C2211yescharacteristic, complemented
147#65229C2211yescharacteristic, complemented
148#65229C2211yescharacteristic, complemented
149#65229C2211yescharacteristic, complemented
150#65229C2211yescharacteristic, complemented
151#65226C2211yescharacteristic, complemented
152#65222C2211yescharacteristic, complemented
153#65222C2211yescharacteristic, complemented
154#65222C2211yescharacteristic, complemented
155#64965C2211yescharacteristic, complemented
156#64965C2211yescharacteristic, complemented
157#64964C2211yescharacteristic
158#64964C2211yescharacteristic
159#64963C2211yescharacteristic, complemented
160#64961C2211yescharacteristic
161#64961C2211yescharacteristic
162#64959C2211yescharacteristic
163#64959C2211yescharacteristic, complemented
164#64959C2211yescharacteristic, complemented
165#64958C2211yescharacteristic
166#64958C2211yescharacteristic, complemented
167#64957C2211yescharacteristic
168#64957C2211yescharacteristic
169#64956C2211yescharacteristic, complemented
170#64956C2211yescharacteristic, complemented
171#64954C2211yescharacteristic
172#64954C2211yescharacteristic
173#64953C2211yescharacteristic
174#64953C2211yescharacteristic
175C5⋊#401C2211yescharacteristic, complemented
176#64948C2211yescharacteristic, complemented
177#64947C2211yescharacteristic, complemented
178#64947C2211yescharacteristic, complemented
179#64947C2211yescharacteristic, complemented
180#64946C2211yescharacteristic, complemented
181#64946C2211yescharacteristic, complemented
182#64946C2211yescharacteristic, complemented
183#64946C2211yescharacteristic, complemented
184#64942C2211yescharacteristic, complemented
185#64941C2211yescharacteristic, complemented
186#64940C2211yescharacteristic, complemented
187#36779—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C24×D5C2311yescharacteristic
190C22×C5×Q8C2311yescharacteristic
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
202C23×Dic5C2311yescharacteristic
203C23×Dic5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C23×Dic5C2311yescharacteristic
206C2×D4×D5—24no—
207C2×D4×D5—42no—
208C2×D4×D5—42no—
209C22×D20C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×C4×D5C2311yescharacteristic
212C22×C4×D5C2311yescharacteristic
213C5×#124—42no—
214C5×C22⋊Q8—42no—
215C5×#121—42no—
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C5×C22⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4C2311yescharacteristic
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×C42×C5—42no—
233C2×C42×C5C2311yescharacteristic
234C2×C42×C5C2311yescharacteristic
235C2×C42×C5C2311yescharacteristic
236C2×C42×C5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247C2×C22⋊Dic5C2311yescharacteristic
248C2×C22⋊Dic5C2311yescharacteristic
249C2×C22⋊Dic5C2311yescharacteristic
250#4092—42no—
251#4085—42no—
252#4083—24no—
253#4083—42no—
254#4081—42no—
255#4081—42no—
256D4×Dic5—42no—
257C2×#685—24no—
258C2×#685—42no—
259C2×#685—42no—
260C2×#685C2311yescharacteristic
261C2×#685C2311yescharacteristic
262C2×#685C2311yescharacteristic
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
292C2×C4⋊Dic5C2311yescharacteristic
293C2×C4⋊Dic5C2311yescharacteristic
294C2×C4⋊Dic5C2311yescharacteristic
295C2×C4⋊Dic5C2311yescharacteristic
296C2×#683—42no—
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×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×C4×Dic5C2311yescharacteristic
315C2×C4×Dic5C2311yescharacteristic
316C2×C4×Dic5C2311yescharacteristic
317#4032—42no—
318D5×C22⋊C4—42no—
319#4022—42no—
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
324C5×#95C2311yescharacteristic
325C5×#95C2311yescharacteristic
326C5×#95C2311yescharacteristic
327C5×#95C2311yescharacteristic
328#3963C2311yescharacteristic
329#3963C2311yescharacteristic
330#3963C2311yescharacteristic
331#3963C2311yescharacteristic
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#2852—51no—
365#2850D511yescharacteristic, complemented
366#2781—51no—
367#2781—51no—
368#2778—51no—
369#2765—51no—
370#2764—51no—
371#2761—51no—
372#2756—51no—
373#2749—51no—
374#2743—51no—
375#2741—51no—
376#2735—51no—
377#2735—51no—
378#2730—51no—
379#2702—51no—
380#2685—51no—
381#2684—51no—
382#2623—51no—
383#2618—51no—
384#2510—51no—
385#2488—51no—
386#2444—51no—
387#2437—51no—
388#2425—51no—
389#2412—51no—
390#2410—51no—
391#2405—51no—
392#2321—51no—
393#2308—51no—
394C2×#388—51no—
395C24×C5C2411yescharacteristic
396C24×C5C2411yescharacteristic
397C24×C5C2411yescharacteristic
398C23×D5—22no—
399C23×D5—22no—
400C23×D5—22no—
401C23×D5—41no—
402C23×D5—41no—
403C23×D5—41no—
404C23×D5—41no—
405C23×D5—41no—
406C23×D5—41no—
407C23×D5—41no—
408C23×D5—41no—
409C23×D5—41no—
410C23×D5—41no—
411C23×D5#4114yes—
412C23×D5C2411yescharacteristic
413C23×D5C2411yescharacteristic
414C23×D5C2411yescharacteristic
415C2×C5×Q8—22no—
416C2×C5×Q8—41no—
417C2×C5×Q8—41no—
418C2×C5×D4—22no—
419C2×C5×D4—22no—
420C2×C5×D4—22no—
421C2×C5×D4—22no—
422C2×C5×D4—22no—
423C2×C5×D4—22no—
424C2×C5×D4—22no—
425C2×C5×D4—41no—
426C2×C5×D4—41no—
427C22×C4×C5—22no—
428C22×C4×C5—22no—
429C22×C4×C5—22no—
430C22×C4×C5—22no—
431C22×C4×C5—41no—
432C22×C4×C5—41no—
433C22×C4×C5—41no—
434C22×C4×C5—41no—
435C22×C4×C5—41no—
436C22×C4×C5C2411yescharacteristic
437C22×C4×C5C2411yescharacteristic
438C22×C4×C5C2411yescharacteristic
439C22×C4×C5C2411yescharacteristic
440C22×C4×C5C2411yescharacteristic
441C22×C4×C5C2411yescharacteristic
442C22×C4×C5C2411yescharacteristic
443C22×C4×C5C2411yescharacteristic
444C22×C4×C5C2411yescharacteristic
445C22×C4×C5C2411yescharacteristic
446C22×C4×C5C2411yescharacteristic
447C22×C4×C5C2411yescharacteristic
448C2×C22⋊D5—22no—
449C2×C22⋊D5—22no—
450C2×C22⋊D5—22no—
451C2×C22⋊D5—22no—
452C2×C22⋊D5—22no—
453C2×C22⋊D5—22no—
454C2×C22⋊D5—41no—
455C2×C22⋊D5—41no—
456C2×C22⋊D5—41no—
457C2×C22⋊D5—41no—
458C2×C22⋊D5—41no—
459C2×C22⋊D5—41no—
460C2×C22⋊D5—41no—
461C2×C22⋊D5—41no—
462C2×C22⋊D5—41no—
463C22×Dic5—22no—
464C22×Dic5—22no—
465C22×Dic5—22no—
466C22×Dic5—22no—
467C22×Dic5—22no—
468C22×Dic5—41no—
469C22×Dic5—41no—
470C22×Dic5—41no—
471C22×Dic5—41no—
472C22×Dic5—41no—
473C22×Dic5—41no—
474C22×Dic5—41no—
475C22×Dic5C2411yescharacteristic
476C22×Dic5C2411yescharacteristic
477C22×Dic5C2411yescharacteristic
478C22×Dic5C2411yescharacteristic
479C22×Dic5C2411yescharacteristic
480C22×Dic5C2411yescharacteristic
481C22×Dic5C2411yescharacteristic
482C22×Dic5C2411yescharacteristic
483C22×Dic5C2411yescharacteristic
484C22×Dic5C2411yescharacteristic
485C22×Dic5C2411yescharacteristic
486C22×Dic5C2411yescharacteristic
487C22×Dic5C2411yescharacteristic
488D4×D5—416no—
489C2×D20—22no—
490C2×D20—41no—
491C2×D20—41no—
492C2×C4×D5—22no—
493C2×C4×D5—41no—
494C2×C4×D5—41no—
495C2×C4×D5—41no—
496C2×C4×D5—41no—
497C2×C4×D5—41no—
498C2×C4×D5—41no—
499C2×C4×D5—41no—
500C2×C4×D5—41no—
501C5×C4⋊C4—41no—
502C5×C4⋊C4—41no—
503C5×C4⋊C4—41no—
504C5×C4⋊C4—41no—
505C5×C22⋊C4—22no—
506C5×C22⋊C4—22no—
507C5×C22⋊C4—41no—
508C5×C22⋊C4—41no—
509C5×C22⋊C4—41no—
510C5×C22⋊C4—41no—
511C5×C22⋊C4—41no—
512C5×C22⋊C4—41no—
513C5×C22⋊C4—41no—
514C5×C22⋊C4—41no—
515C5×C22⋊C4—41no—
516C5×C22⋊C4—41no—
517C42×C5—22no—
518C42×C5—22no—
519C42×C5—41no—
520C42×C5—41no—
521C22⋊Dic5—22no—
522C22⋊Dic5—22no—
523C22⋊Dic5—22no—
524C22⋊Dic5—41no—
525C22⋊Dic5—41no—
526C22⋊Dic5—41no—
527C22⋊Dic5—41no—
528C22⋊Dic5—41no—
529C22⋊Dic5—41no—
530C22⋊Dic5—41no—
531C22⋊Dic5—41no—
532C22⋊Dic5—41no—
533C22⋊Dic5—41no—
534#685—22no—
535#685—22no—
536#685—22no—
537#685—22no—
538#685—22no—
539#685—22no—
540#685—22no—
541#685—22no—
542#685—22no—
543#685—41no—
544#685—41no—
545#685—41no—
546#685—41no—
547#685—41no—
548#685—41no—
549#685—41no—
550#685—41no—
551#685—41no—
552#685—41no—
553#685—41no—
554#685—41no—
555#685—41no—
556#685—41no—
557#685—41no—
558#685—41no—
559#685—41no—
560#685—41no—
561#685—41no—
562#685—41no—
563#685—41no—
564#685—41no—
565C4⋊Dic5—41no—
566C4⋊Dic5—41no—
567C4⋊Dic5—41no—
568C4⋊Dic5—41no—
569C4⋊Dic5—41no—
570#683—22no—
571#683—41no—
572#683—41no—
573#683—41no—
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—
587C4×Dic5—41no—
588C4×Dic5—41no—
589C4×Dic5—41no—
590C23×D4—51no—
591C2×#126—51no—
592C2×#124C2×D511yescharacteristic, complemented
593C2×#123—51no—
594C2×#123—51no—
595C2×#123—51no—
596C2×C22⋊Q8—51no—
597C2×C22⋊Q8C2×D511yescharacteristic, complemented
598C2×#121—51no—
599C2×#121C2×D511yescharacteristic
600C2×#120—51no—
601C2×#120—51no—
602C2×C4×D4—51no—
603C22×C4⋊C4—51no—
604C22×C22⋊C4—51no—
605C22×C22⋊C4—51no—
606C22×C22⋊C4—51no—
607C22×C22⋊C4—51no—
608C22×C42C2×D511yescharacteristic, complemented
609#401—51no—
610#400—51no—
611#400—51no—
612#400—51no—
613#400—51no—
614#400—51no—
615#400—51no—
616#399—51no—
617#399—51no—
618#399—51no—
619#398—51no—
620#398—51no—
621#398—51no—
622#398—51no—
623#398—51no—
624#397—51no—
625#397—51no—
626#397—51no—
627#397—51no—
628#397—51no—
629#397—51no—
630#397—51no—
631#397—51no—
632#397—51no—
633#397—51no—
634#396—51no—
635#396—51no—
636#396—51no—
637#396—51no—
638#396—51no—
639#396—51no—
640#396—51no—
641#394—51no—
642#394—51no—
643#394—51no—
644#394—51no—
645#394—51no—
646#394—51no—
647#394—51no—
648#394—51no—
649#394—51no—
650#394—51no—
651#394—51no—
652#394—51no—
653#393—51no—
654#393—51no—
655#392—51no—
656#392—51no—
657#391—51no—
658#391C2×D511yescharacteristic, complemented
659#390—51no—
660#390—51no—
661#390C2×D511yescharacteristic, complemented
662#389—51no—
663#388—51no—
664#388—51no—
665#388—51no—
666#388—51no—
667#388—51no—
668#388—51no—
669#388—51no—
670#388—51no—
671#388—51no—
672#388—51no—
673#388—51no—
674#388—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#388C2×D511yescharacteristic, complemented
685#388C2×D511yescharacteristic, complemented
686#388C2×D511yescharacteristic, complemented
687#388C2×D511yescharacteristic, complemented
688#387—51no—
689#387—51no—
690#387—51no—
691#387—51no—
692#387—51no—
693#386—51no—
694#386—51no—
695#386—51no—
696#386—51no—
697#386—51no—
698#386—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#386C2×D511yescharacteristic
711#386C2×D511yescharacteristic
712#386C2×D511yescharacteristic, complemented
713#386C2×D511yescharacteristic, complemented
714#385—51no—
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#383—51no—
724#383—51no—
725#382—51no—
726#382C2×D511yescharacteristic, complemented
727#381—51no—
728#381—51no—
729#381—51no—
730#381—51no—
731#380—51no—
732#380—51no—
733#380—51no—
734#380—51no—
735#380—51no—
736#379—51no—
737#379—51no—
738#379—51no—
739#379—51no—
740#379—51no—
741#379—51no—
742C4×C22⋊C4—51no—
743C2×#95—51no—
744C2×#95—51no—
745C23×C5—21no—
746C23×C5—21no—
747C23×C5—21no—
748C23×C5—21no—
749C23×C5—21no—
750C23×C5—21no—
751C23×C5—21no—
752C23×C5—21no—
753C23×C5—21no—
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×C5C2×#4112yes—
764C23×C5H(5,𝔽2)12yes—
765C23×C5H(5,𝔽2)12yes—
766C23×C5C2511yescharacteristic
767C22×D5—21no—
768C22×D5—21no—
769C22×D5—21no—
770C22×D5—21no—
771C22×D5—21no—
772C22×D5—21no—
773C22×D5—21no—
774C22×D5—21no—
775C22×D5—21no—
776C22×D5—21no—
777C22×D5—21no—
778C22×D5—21no—
779C22×D5—28no—
780C22×D5—21no—
781C22×D5—21no—
782C22×D5—21no—
783C22×D5—21no—
784C22×D5—21no—
785C22×D5—21no—
786C22×D5—21no—
787C22×D5—44no—
788C22×D5—44no—
789C22×D5—44no—
790C22×D5—82no—
791C22×D5—82no—
792C22×D5—82no—
793C22×D5—82no—
794C22×D5—82no—
795C22×D5—82no—
796C22×D5—82no—
797C22×D5—82no—
798C22×D5—82no—
799C22×D5—82no—
800C22×D5C2×#4112yes—
801C22×D5C2×#4112yes—
802C5×Q8—82no—
803C5×D4—44no—
804C5×D4—44no—
805C5×D4—82no—
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—21no—
829C2×C4×C5—21no—
830C2×C4×C5—21no—
831C2×C4×C5—21no—
832C2×C4×C5—21no—
833C2×C4×C5—21no—
834C2×C4×C5—21no—
835C2×C4×C5—21no—
836C2×C4×C5—21no—
837C2×C4×C5—21no—
838C2×C4×C5—21no—
839C2×C4×C5—21no—
840C2×C4×C5—21no—
841C2×C4×C5—44no—
842C2×C4×C5—44no—
843C2×C4×C5—44no—
844C2×C4×C5H(5,𝔽2)12yes—
845C22⋊D5—44no—
846C22⋊D5—44no—
847C22⋊D5—82no—
848C22⋊D5—82no—
849C22⋊D5—82no—
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—21no—
878C2×Dic5—21no—
879C2×Dic5—21no—
880C2×Dic5—21no—
881C2×Dic5—21no—
882C2×Dic5—21no—
883C2×Dic5—21no—
884C2×Dic5—21no—
885C2×Dic5—21no—
886C2×Dic5—21no—
887C2×Dic5—21no—
888C2×Dic5—21no—
889C2×Dic5—44no—
890C2×Dic5—82no—
891C2×Dic5—82no—
892C2×Dic5—82no—
893D20—44no—
894C4×D5—44no—
895C4×D5—82no—
896C4×D5—82no—
897C25—51no—
898C25—51no—
899C22×Q8C22×D511yescharacteristic
900C22×D4—51no—
901C22×D4—51no—
902C22×D4—51no—
903C22×D4—51no—
904C22×D4—51no—
905C22×D4—51no—
906C22×D4—104no—
907C22×D4—202no—
908C22×D4—202no—
909C22×D4C22×D511yescharacteristic
910C22×D4C22×D511yescharacteristic
911C22×D4C22×D511yescharacteristic
912C23×C4—51no—
913C23×C4—51no—
914C23×C4—51no—
915C23×C4—51no—
916C23×C4—51no—
917C23×C4—51no—
918C23×C4—51no—
919C23×C4C22×D511yescharacteristic
920C23×C4C22×D511yescharacteristic
921C23×C4C22×D511yescharacteristic
922#126—202no—
923#124—42no—
924#123—202no—
925#123—202no—
926#123—202no—
927C22⋊Q8—42no—
928C22⋊Q8—202no—
929#121—42no—
930#121—202no—
931#120—104no—
932#120—202no—
933C4×D4—202no—
934C2×C4⋊C4—51no—
935C2×C4⋊C4—51no—
936C2×C4⋊C4—51no—
937C2×C4⋊C4—51no—
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—202no—
957C2×C4⋊C4C22×D511yescharacteristic
958C2×C4⋊C4C22×D511yescharacteristic
959C2×C4⋊C4C22×D511yescharacteristic
960C2×C4⋊C4C22×D511yescharacteristic
961C2×C22⋊C4—51no—
962C2×C22⋊C4—51no—
963C2×C22⋊C4—51no—
964C2×C22⋊C4—51no—
965C2×C22⋊C4—51no—
966C2×C22⋊C4—51no—
967C2×C22⋊C4—51no—
968C2×C22⋊C4—51no—
969C2×C22⋊C4—51no—
970C2×C22⋊C4—51no—
971C2×C22⋊C4—51no—
972C2×C22⋊C4—51no—
973C2×C22⋊C4—51no—
974C2×C22⋊C4—51no—
975C2×C22⋊C4—51no—
976C2×C22⋊C4—51no—
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—104no—
1006C2×C22⋊C4—202no—
1007C2×C22⋊C4—202no—
1008C2×C22⋊C4—202no—
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×C42—42no—
1022C2×C42—51no—
1023C2×C42—51no—
1024C2×C42—51no—
1025C2×C42C22×D511yescharacteristic
1026C2×C42C22×D511yescharacteristic
1027C2×C42C22×D511yescharacteristic
1028C2×C42C22×D511yescharacteristic
1029#95—51no—
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#95C22×D511yescharacteristic
1066#95C22×D511yescharacteristic
1067#95C22×D511yescharacteristic
1068#95C22×D511yescharacteristic
1069#95C22×D511yescharacteristic
1070#95C22×D511yescharacteristic
1071#95C22×D511yescharacteristic
1072#95C22×D511yescharacteristic
1073C22×C5—22no—
1074C22×C5—22no—
1075C22×C5—22no—
1076C22×C5—22no—
1077C22×C5—22no—
1078C22×C5—22no—
1079C22×C5—41no—
1080C22×C5—41no—
1081C22×C5—41no—
1082C22×C5—41no—
1083C22×C5—41no—
1084C22×C5—41no—
1085C22×C5—41no—
1086C22×C5—41no—
1087C22×C5—41no—
1088C22×C5—41no—
1089C22×C5—41no—
1090C22×C5—41no—
1091C22×C5—41no—
1092C22×C5—41no—
1093C22×C5#53814yes—
1094C22×C5C22×#4111yescharacteristic
1095C22×C5C2×H(5,𝔽2)11yescharacteristic
1096C22×C5C2×H(5,𝔽2)11yescharacteristic
1097C22×C5C2×H(5,𝔽2)11yescharacteristic
1098C22×C5#58511yescharacteristic
1099C22×C5#58511yescharacteristic
1100C22×C5#58511yescharacteristic
1101C2×D5—22no—
1102C2×D5—22no—
1103C2×D5—22no—
1104C2×D5—22no—
1105C2×D5—22no—
1106C2×D5—22no—
1107C2×D5—41no—
1108C2×D5—41no—
1109C2×D5—41no—
1110C2×D5—41no—
1111C2×D5—41no—
1112C2×D5—41no—
1113C2×D5—41no—
1114C2×D5—41no—
1115C2×D5—41no—
1116C2×D5—41no—
1117C2×D5—41no—
1118C2×D5—41no—
1119C2×D5—41no—
1120C2×D5—41no—
1121C2×D5—41no—
1122C2×D5—88no—
1123C2×D5—88no—
1124C4×C5—22no—
1125C4×C5—41no—
1126C4×C5—41no—
1127C4×C5—41no—
1128C4×C5—41no—
1129C4×C5—41no—
1130C4×C5—41no—
1131C4×C5—41no—
1132C4×C5—41no—
1133C4×C5—41no—
1134C4×C5—41no—
1135C4×C5—41no—
1136Dic5—41no—
1137Dic5—41no—
1138Dic5—41no—
1139Dic5—41no—
1140Dic5—41no—
1141Dic5—41no—
1142Dic5—41no—
1143Dic5—41no—
1144Dic5—41no—
1145Dic5—41no—
1146Dic5—41no—
1147Dic5—41no—
1148Dic5—41no—
1149C24—51no—
1150C24—51no—
1151C24—54no—
1152C24—51no—
1153C24—102no—
1154C24—102no—
1155C24—102no—
1156C24—201no—
1157C24—201no—
1158C24—201no—
1159C24—201no—
1160C24—201no—
1161C24—201no—
1162C24—201no—
1163C24—201no—
1164C24—201no—
1165C24—201no—
1166C24C23×D511yescharacteristic
1167C24C23×D511yescharacteristic
1168C24C23×D511yescharacteristic
1169C2×Q8—22no—
1170C2×Q8—41no—
1171C2×Q8—41no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—102no—
1182C2×D4—102no—
1183C2×D4—102no—
1184C2×D4—102no—
1185C2×D4—102no—
1186C2×D4—102no—
1187C2×D4—102no—
1188C2×D4—201no—
1189C2×D4—201no—
1190C2×D4—201no—
1191C2×D4—201no—
1192C2×D4—201no—
1193C2×D4—201no—
1194C2×D4—201no—
1195C2×D4—201no—
1196C2×D4—201no—
1197C2×D4—201no—
1198C2×D4—201no—
1199C2×D4—2016no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—51no—
1210C22×C4—51no—
1211C22×C4—51no—
1212C22×C4—51no—
1213C22×C4—51no—
1214C22×C4—51no—
1215C22×C4—51no—
1216C22×C4—51no—
1217C22×C4—51no—
1218C22×C4—51no—
1219C22×C4—51no—
1220C22×C4—51no—
1221C22×C4—51no—
1222C22×C4—102no—
1223C22×C4—102no—
1224C22×C4—102no—
1225C22×C4—102no—
1226C22×C4—102no—
1227C22×C4—102no—
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—201no—
1237C22×C4—201no—
1238C22×C4—201no—
1239C22×C4—201no—
1240C22×C4—201no—
1241C22×C4—201no—
1242C22×C4—201no—
1243C22×C4C23×D511yescharacteristic
1244C22×C4C23×D511yescharacteristic
1245C22×C4C23×D511yescharacteristic
1246C22×C4C23×D511yescharacteristic
1247C22×C4C23×D511yescharacteristic
1248C22×C4C23×D511yescharacteristic
1249C22×C4C23×D511yescharacteristic
1250C22×C4C23×D511yescharacteristic
1251C22×C4C23×D511yescharacteristic
1252C22×C4C23×D511yescharacteristic
1253C22×C4C23×D511yescharacteristic
1254C22×C4C23×D511yescharacteristic
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—102no—
1260C4⋊C4—201no—
1261C4⋊C4—201no—
1262C4⋊C4—201no—
1263C4⋊C4—201no—
1264C4⋊C4—201no—
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—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—102no—
1294C22⋊C4—102no—
1295C22⋊C4—102no—
1296C22⋊C4—102no—
1297C22⋊C4—102no—
1298C22⋊C4—102no—
1299C22⋊C4—102no—
1300C22⋊C4—102no—
1301C22⋊C4—102no—
1302C22⋊C4—102no—
1303C22⋊C4—102no—
1304C22⋊C4—102no—
1305C22⋊C4—201no—
1306C22⋊C4—201no—
1307C22⋊C4—201no—
1308C22⋊C4—201no—
1309C22⋊C4—201no—
1310C22⋊C4—201no—
1311C22⋊C4—201no—
1312C22⋊C4—201no—
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—
1330C22⋊C4—201no—
1331C22⋊C4—201no—
1332C22⋊C4—201no—
1333C22⋊C4—201no—
1334C22⋊C4—201no—
1335C22⋊C4—201no—
1336C22⋊C4—201no—
1337C42—22no—
1338C42—22no—
1339C42—41no—
1340C42—41no—
1341C42—201no—
1342C42—201no—
1343C42—201no—
1344C2×C5—24no—
1345C2×C5—81no—
1346C2×C5—81no—
1347C2×C5C2×#53811yescharacteristic
1348C2×C5#349111yescharacteristic
1349C2×C5#350511yescharacteristic
1350C2×C5#353411yescharacteristic
1351C2×C5#354211yescharacteristic
1352C2×C5#354511yescharacteristic
1353C2×C5#356011yescharacteristic
1354D5—42no—
1355D5—42no—
1356D5—81no—
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—21no—
1373C23—21no—
1374C23—21no—
1375C23—52no—
1376C23—52no—
1377C23—101no—
1378C23—101no—
1379C23—101no—
1380C23—101no—
1381C23—101no—
1382C23—101no—
1383C23—101no—
1384C23—101no—
1385C23—101no—
1386C23—101no—
1387C23—101no—
1388C23—101no—
1389C23—108no—
1390C23—101no—
1391C23—101no—
1392C23—101no—
1393C23—101no—
1394C23—101no—
1395C23—101no—
1396C23—101no—
1397C23—204no—
1398C23—204no—
1399C23—204no—
1400C23—402no—
1401C23—402no—
1402C23—402no—
1403C23—402no—
1404C23—402no—
1405C23—402no—
1406C23—402no—
1407C23—402no—
1408C23—402no—
1409C23—402no—
1410C23#414412yes—
1411C23D5×#4112yes—
1412C23#414912yes—
1413C23C24×D511yescharacteristic
1414Q8—82no—
1415D4—44no—
1416D4—44no—
1417D4—82no—
1418D4—204no—
1419D4—204no—
1420D4—204no—
1421D4—402no—
1422D4—402no—
1423D4—402no—
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—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
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—101no—
1484C2×C4—101no—
1485C2×C4—101no—
1486C2×C4—101no—
1487C2×C4—101no—
1488C2×C4—101no—
1489C2×C4—101no—
1490C2×C4—101no—
1491C2×C4—101no—
1492C2×C4—101no—
1493C2×C4—101no—
1494C2×C4—101no—
1495C2×C4—101no—
1496C2×C4—101no—
1497C2×C4—101no—
1498C2×C4—101no—
1499C2×C4—101no—
1500C2×C4—101no—
1501C2×C4—204no—
1502C2×C4—204no—
1503C2×C4—402no—
1504C2×C4—402no—
1505C2×C4—402no—
1506C2×C4—402no—
1507C2×C4—402no—
1508C2×C4#414412yes—
1509C5#3677911yescharacteristic, complemented, Sylow
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—102no—
1531C22—102no—
1532C22—102no—
1533C22—102no—
1534C22—102no—
1535C22—102no—
1536C22—201no—
1537C22—201no—
1538C22—201no—
1539C22—201no—
1540C22—201no—
1541C22—201no—
1542C22—201no—
1543C22—201no—
1544C22—201no—
1545C22—201no—
1546C22—201no—
1547C22—201no—
1548C22—201no—
1549C22—201no—
1550C22—201no—
1551C22—408no—
1552C22—408no—
1553C22#6601214yes—
1554C22C2×#414411yescharacteristic
1555C22C2×#414411yescharacteristic
1556C22C2×D5×#4111yescharacteristic
1557C22C2×#414911yescharacteristic
1558C22#6628311yescharacteristic
1559C22#6628311yescharacteristic
1560C22#6628311yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—201no—
1574C4—201no—
1575C4—201no—
1576C4—201no—
1577C4—201no—
1578C4—201no—
1579C4—201no—
1580C4—201no—
1581C4—201no—
1582C4—201no—
1583C4—201no—
1584C4—201no—
1585C4—201no—
1586C2—24no—
1587C2—81no—
1588C2—81no—
1589C2—202no—
1590C2—202no—
1591C2—401no—
1592C2#1061785511yescharacteristic
1593C2#1061794511yescharacteristic
1594C2#1061795911yescharacteristic
1595C2C2×#6601211yescharacteristic
1596C2#1061805611yescharacteristic
1597C2#1061807411yescharacteristic
1598C2#1061815611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2850C2
prime radical#10614433C2
hypercenter#2850D5
hypocenterC5#36779
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2850

Complements

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

NH ≅ G/Ntype
1. C5×#2850C2semidirect
2. #10614737C2semidirect
3. #10614736C2semidirect
4. #10614547C2semidirect
5. #10614502C2semidirect
7. #10614376C2semidirect
8. #10613809C2semidirect
9. C2×#65229C2semidirect
10. #10608318C2semidirect
11. #10608296C2semidirect
12. #10608198C2semidirect
13. #10608137C2semidirect
14. #10607679C2semidirect
15. #10607666C2semidirect
16. #10607665C2semidirect
17. #10607506C2semidirect
18. #10607500C2semidirect
19. #10607471C2semidirect
20. #10607454C2semidirect
21. #10607452C2semidirect
22. #10606606C2semidirect
23. #10606605C2semidirect
24. #10606513C2semidirect
25. #10606512C2semidirect
26. #10606476C2semidirect
27. #10606437C2semidirect
28. #10606421C2semidirect
29. #10606417C2semidirect
30. #10605983C2semidirect
31. #10605982C2semidirect
33. C2×C5×#124C22semidirect
34. C2×C5×C22⋊Q8C22semidirect
36. C22×C42×C5C22semidirect
37. C2×#4092C22semidirect
42. C2×#4081C22semidirect
43. C2×D4×Dic5C22semidirect
47. C22×#683C22semidirect
50. C2×#4022C22semidirect
51. C5×#391C22semidirect
52. C5×#390C22semidirect
53. C5×#388C22semidirect
54. C5×#388C22semidirect
55. C5×#388C22semidirect
56. C5×#388C22semidirect
59. C5×#386C22semidirect
60. C5×#386C22semidirect
61. C5×#382C22semidirect
63. #65520C22semidirect
64. #65519C22semidirect
66. #65511C22semidirect
69. #65509C22semidirect
73. #65499C22semidirect
74. #65499C22semidirect
75. #65499C22semidirect
76. C2×#3963C22semidirect
77. C2×#3963C22semidirect
80. #65282C22semidirect
83. #65279C22semidirect
84. #65279C22semidirect
86. #65278C22semidirect
87. #65278C22semidirect
88. #65276C22semidirect
89. #65275C22semidirect
90. #65275C22semidirect
91. #65273C22semidirect
92. #65266C22semidirect
93. #65261C22semidirect
96. #65250C22semidirect
101. #65248C22semidirect
102. #65248C22semidirect
105. #65247C22semidirect
106. #65247C22semidirect
108. #65246C22semidirect
112. #65245C22semidirect
113. #65245C22semidirect
120. #65242C22semidirect
121. #65241C22semidirect
122. #65241C22semidirect
123. #65241C22semidirect
124. #65241C22semidirect
125. #65241C22semidirect
126. #65239C22semidirect
127. #65238C22semidirect
128. #65238C22semidirect
129. #65237C22semidirect
130. #65237C22semidirect
131. #65237C22semidirect
132. #65234C22semidirect
133. #65234C22semidirect
134. #65233C22semidirect
135. #65232C22semidirect
136. #65232C22semidirect
137. #65231C22semidirect
138. #65231C22semidirect
139. C22⋊C4×Dic5C22semidirect
144. #65229C22semidirect
145. #65229C22semidirect
146. #65229C22semidirect
147. #65229C22semidirect
148. #65229C22semidirect
149. #65229C22semidirect
150. #65229C22semidirect
151. #65226C22semidirect
152. #65222C22semidirect
153. #65222C22semidirect
154. #65222C22semidirect
155. #64965C22semidirect
156. #64965C22semidirect
159. #64963C22semidirect
163. #64959C22semidirect
164. #64959C22semidirect
166. #64958C22semidirect
169. #64956C22semidirect
170. #64956C22semidirect
175. C5⋊#401C22semidirect
176. #64948C22semidirect
177. #64947C22semidirect
178. #64947C22semidirect
179. #64947C22semidirect
180. #64946C22semidirect
181. #64946C22semidirect
182. #64946C22semidirect
183. #64946C22semidirect
184. #64942C22semidirect
185. #64941C22semidirect
186. #64940C22semidirect
365. #2850D5semidirect
592. C2×#124C2×D5semidirect
597. C2×C22⋊Q8C2×D5semidirect
608. C22×C42C2×D5semidirect
658. #391C2×D5semidirect
661. #390C2×D5semidirect
684. #388C2×D5semidirect
685. #388C2×D5semidirect
686. #388C2×D5semidirect
687. #388C2×D5semidirect
712. #386C2×D5semidirect
713. #386C2×D5semidirect
726. #382C2×D5semidirect
1509. C5#36779semidirect

Maximal subgroups

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

subgroupindex
C5×#28502
#106147372
#106147362
#106145472
#106145022
#106144332
#106143762
#106138092
C2×#652292
#106083182
#106082962
#106081982
#106081372
#106076792
#106076662
#106076652
#106075062
#106075002
#106074712
#106074542
#106074522
#106066062
#106066052
#106065132
#106065122
#106064762
#106064372
#106064212
#106064172
#106059832
#106059822
#367795