Finite Group Databasebeta

← #12272290

Subgroups — #12272290

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×#65991C211yesmaximal, characteristic, complemented
2C2×#65972C211yesmaximal, characteristic, complemented
3C5×#2663C211yesmaximal, characteristic, complemented
4#10614622C211yesmaximal, characteristic, complemented
5#10614540C211yesmaximal, characteristic, complemented
6#10610077C211yesmaximal, characteristic, complemented
7#10609909C211yesmaximal, characteristic, complemented
8#10609838C211yesmaximal, characteristic, complemented
9#10609764C211yesmaximal, characteristic, complemented
10#10609413C211yesmaximal, characteristic, complemented
11#10609403C211yesmaximal, characteristic, complemented
12#10609247C211yesmaximal, characteristic, complemented
13#10609232C211yesmaximal, characteristic, complemented
14#10608984C211yesmaximal, characteristic, complemented
15#10608907C211yesmaximal, characteristic, complemented
16#10608850C211yesmaximal, characteristic, complemented
17#10608845C211yesmaximal, characteristic, complemented
18#10608684C211yesmaximal, characteristic, complemented
19#10608648C211yesmaximal, characteristic, complemented
20#10608529C211yesmaximal, characteristic, complemented
21#10608521C211yesmaximal, characteristic, complemented
22#10607927C211yesmaximal, characteristic, complemented
23#10607922C211yesmaximal, characteristic, complemented
24#10607839C211yesmaximal, characteristic, complemented
25#10607695C211yesmaximal, characteristic, complemented
26#10607557C211yesmaximal, characteristic, complemented
27D5×#388C211yesmaximal, characteristic, complemented
28#10607552C211yesmaximal, characteristic, complemented
29#10607394C211yesmaximal, characteristic, complemented
30#10605342C211yesmaximal, characteristic, complemented
31C4×#4027C211yesmaximal, characteristic, complemented
32C2×C5×#123C2211yescharacteristic
33C2×C5×C22⋊Q8C2211yescharacteristic, complemented
34C2×#4093C2211yescharacteristic
35C2×#4092C2211yescharacteristic
36C2×#4092C2211yescharacteristic, complemented
37C2×#4085C2211yescharacteristic
38C2×#4084C2211yescharacteristic
39C2×#4083C2211yescharacteristic
40C2×#4076C2211yescharacteristic
41C2×#4075C2211yescharacteristic, complemented
42C2×C4×C22⋊D5C2211yescharacteristic
43C22×C4×Dic5C2211yescharacteristic, complemented
44#65991—28no—
45#65972—28no—
46C2×#4044C2211yescharacteristic
47C2×#4044C2211yescharacteristic, complemented
48C2×#4043C2211yescharacteristic
49C2×#4041C2211yescharacteristic
50C2×#4040C2211yescharacteristic
51C2×#4040C2211yescharacteristic
52C2×#4040C2211yescharacteristic
53C2×#4039C2211yescharacteristic
54C2×#4039C2211yescharacteristic
55C2×#4039C2211yescharacteristic, complemented
56C2×D5×C4⋊C4C2211yescharacteristic
57C2×#4035C2211yescharacteristic, complemented
58C2×#4035C2211yescharacteristic, complemented
59C2×#4031C2211yescharacteristic
60C2×#4031C2211yescharacteristic
61C2×#4030C2211yescharacteristic
62C2×#4030C2211yescharacteristic
63C2×#4029C2211yescharacteristic
64C2×#4029C2211yescharacteristic, complemented
65C2×#4028C2211yescharacteristic
66C2×#4028C2211yescharacteristic
67C2×#4027C2211yescharacteristic
68C2×#4027C2211yescharacteristic
69C2×D5×C22⋊C4C2211yescharacteristic
70C2×D5×C22⋊C4C2211yescharacteristic
71C2×D5×C22⋊C4C2211yescharacteristic
72C2×#4025C2211yescharacteristic
73C2×#4025C2211yescharacteristic, complemented
74C2×C42×D5C2211yescharacteristic
75C5×#400C2211yescharacteristic, complemented
76C5×#399C2211yescharacteristic
77C5×#397C2211yescharacteristic, complemented
78C5×#397C2211yescharacteristic, complemented
79C5×#395C2211yescharacteristic, complemented
80C5×#394C2211yescharacteristic
81C5×#394C2211yescharacteristic
82C5×#393C2211yescharacteristic
83C5×#389C2211yescharacteristic, complemented
84C5×#389C2211yescharacteristic, complemented
85C5×#388C2211yescharacteristic
86C5×#388C2211yescharacteristic
87C4×C5×C22⋊C4C2211yescharacteristic, complemented
88#65519C2211yescharacteristic, complemented
89#65509C2211yescharacteristic
90#65283C2211yescharacteristic
91#65281C2211yescharacteristic
92#65279C2211yescharacteristic
93#65279C2211yescharacteristic
94#65279C2211yescharacteristic, complemented
95#65279C2211yescharacteristic, complemented
96#65279C2211yescharacteristic, complemented
97#65279C2211yescharacteristic, complemented
98#65278C2211yescharacteristic
99#65278C2211yescharacteristic, complemented
100#65277C2211yescharacteristic
101#65277C2211yescharacteristic
102#65277C2211yescharacteristic
103#65276C2211yescharacteristic
104#65274C2211yescharacteristic, complemented
105#65273C2211yescharacteristic, complemented
106#65270C2211yescharacteristic, complemented
107#65269C2211yescharacteristic, complemented
108#65266C2211yescharacteristic, complemented
109C4⋊C4×Dic5C2211yescharacteristic, complemented
110#65262C2211yescharacteristic, complemented
111#65261C2211yescharacteristic, complemented
112#65261C2211yescharacteristic, complemented
113#65250C2211yescharacteristic
114#65250C2211yescharacteristic
115#65250C2211yescharacteristic, complemented
116#65249C2211yescharacteristic
117#65249C2211yescharacteristic
118#65249C2211yescharacteristic, complemented
119#65248C2211yescharacteristic
120#65247C2211yescharacteristic
121#65247C2211yescharacteristic
122#65247C2211yescharacteristic, complemented
123#65247C2211yescharacteristic, complemented
124#65247C2211yescharacteristic, complemented
125#65246C2211yescharacteristic
126#65246C2211yescharacteristic
127#65246C2211yescharacteristic
128#65246C2211yescharacteristic
129#65245C2211yescharacteristic
130#65244C2211yescharacteristic
131#65240C2211yescharacteristic
132#65240C2211yescharacteristic
133#65240C2211yescharacteristic
134#65237C2211yescharacteristic
135#65234C2211yescharacteristic
136#65234C2211yescharacteristic
137#65233C2211yescharacteristic
138#65233C2211yescharacteristic
139#65231C2211yescharacteristic, complemented
140C22⋊C4×Dic5C2211yescharacteristic, complemented
141C22⋊C4×Dic5C2211yescharacteristic, complemented
142#65229C2211yescharacteristic
143#65229C2211yescharacteristic, complemented
144#65228C2211yescharacteristic
145#65228C2211yescharacteristic, complemented
146C4×#685C2211yescharacteristic
147C4×#683C2211yescharacteristic, complemented
148C42×Dic5C2211yescharacteristic, complemented
149#64965C2211yescharacteristic
150#64965C2211yescharacteristic, complemented
151#64964C2211yescharacteristic
152#64963C2211yescharacteristic, complemented
153#64962C2211yescharacteristic, complemented
154#64961C2211yescharacteristic
155#64961C2211yescharacteristic, complemented
156#64960C2211yescharacteristic
157#64959C2211yescharacteristic
158#64959C2211yescharacteristic
159#64959C2211yescharacteristic, complemented
160#64959C2211yescharacteristic, complemented
161#64958C2211yescharacteristic
162#64958C2211yescharacteristic
163#64958C2211yescharacteristic
164#64958C2211yescharacteristic, complemented
165#64958C2211yescharacteristic, complemented
166#64957C2211yescharacteristic
167#64957C2211yescharacteristic, complemented
168#64955C2211yescharacteristic
169#64955C2211yescharacteristic
170#64955C2211yescharacteristic, complemented
171#64955C2211yescharacteristic, complemented
172#64954C2211yescharacteristic
173#64954C2211yescharacteristic
174#64954C2211yescharacteristic
175#64954C2211yescharacteristic
176#64954C2211yescharacteristic
177#64953C2211yescharacteristic
178D5×#95C2211yescharacteristic
179D5×#95C2211yescharacteristic
180#64950C2211yescharacteristic, complemented
181#64949C2211yescharacteristic, complemented
182#64946C2211yescharacteristic, complemented
183#64945C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64938C2211yescharacteristic, complemented
186#64938C2211yescharacteristic, complemented
187#64935C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#35009—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C22×C5×Q8C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C22×C22⋊D5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C22×C22⋊D5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C23×Dic5C2311yescharacteristic
201C23×Dic5C2311yescharacteristic
202C22×D20C2311yescharacteristic
203C22×D20C2311yescharacteristic
204C22×D20C2311yescharacteristic
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×C4×D5C2311yescharacteristic
215C22×Dic10C2311yescharacteristic
216C5×#123—24no—
217C5×C22⋊Q8—24no—
218C2×C5×C4⋊C4C2311yescharacteristic
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×C4⋊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×C5C2311yescharacteristic
239C2×C42×C5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247#4093—42no—
248#4092—24no—
249#4092—24no—
250#4085—42no—
251#4084—24no—
252#4083—24no—
253#4076—24no—
254#4075—24no—
255C4×C22⋊D5D418yescomplemented
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
291C2×C4⋊Dic5C2311yescharacteristic
292C2×C4⋊Dic5C2311yescharacteristic
293C2×C4⋊Dic5C2311yescharacteristic
294C2×C4⋊Dic5C2311yescharacteristic
295C2×C4⋊Dic5C2311yescharacteristic
296C2×C4⋊Dic5C2311yescharacteristic
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×Dic5—42no—
312C2×C4×Dic5C2311yescharacteristic
313C2×C4×Dic5C2311yescharacteristic
314C2×C4×Dic5C2311yescharacteristic
315C2×C4×Dic5C2311yescharacteristic
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
325#4044—24no—
326#4044—24no—
327#4043—24no—
328#4041—24no—
329#4040—24no—
330#4040—24no—
331#4040—24no—
332#4039—24no—
333#4039—24no—
334#4039—42no—
335D5×C4⋊C4—24no—
336#4035—24no—
337#4035—24no—
338#4031—24no—
339#4031—24no—
340#4030—24no—
341#4030—24no—
342#4029—24no—
343#4029—24no—
344#4028—24no—
345#4028—24no—
346#4027—24no—
347#4027—24no—
348D5×C22⋊C4—24no—
349D5×C22⋊C4—24no—
350D5×C22⋊C4—42no—
351#4025—24no—
352#4025—24no—
353C42×D5—42no—
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
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#2854—51no—
391#2850—51no—
392#2664—51no—
393#2663D511yescharacteristic, complemented
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
419C23×D5—22no—
420C23×D5—22no—
421C23×D5—22no—
422C23×D5—41no—
423C23×D5—41no—
424C23×D5—41no—
425C23×D5—41no—
426C23×D5C2411yescharacteristic
427C23×D5C2411yescharacteristic
428C23×D5C2411yescharacteristic
429C23×D5C2411yescharacteristic
430C2×C5×Q8—22no—
431C2×C5×Q8—41no—
432C2×C5×Q8—41no—
433C2×C5×D4—22no—
434C2×C5×D4—41no—
435C2×C5×D4—41no—
436C22×C4×C5—41no—
437C22×C4×C5—41no—
438C22×C4×C5C2×D414yes—
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
448C22×C4×C5C2411yescharacteristic
449C22×C4×C5C2411yescharacteristic
450C22×C4×C5C2411yescharacteristic
451C22×C4×C5C2411yescharacteristic
452C2×C22⋊D5—22no—
453C2×C22⋊D5—22no—
454C2×C22⋊D5—22no—
455C2×C22⋊D5—22no—
456C2×C22⋊D5—22no—
457C2×C22⋊D5—22no—
458C2×C22⋊D5—22no—
459C2×C22⋊D5—41no—
460C2×C22⋊D5—41no—
461C2×C22⋊D5—41no—
462C2×C22⋊D5—41no—
463C2×C22⋊D5—41no—
464C2×C22⋊D5—41no—
465C2×C22⋊D5—41no—
466C2×C22⋊D5—41no—
467C2×C22⋊D5—41no—
468C2×C22⋊D5—41no—
469C2×C22⋊D5C2×D414yes—
470C22×Dic5—22no—
471C22×Dic5—22no—
472C22×Dic5—22no—
473C22×Dic5—41no—
474C22×Dic5—41no—
475C22×Dic5—41no—
476C22×Dic5C2411yescharacteristic
477C22×Dic5C2411yescharacteristic
478C22×Dic5C2411yescharacteristic
479C22×Dic5C2411yescharacteristic
480C22×Dic5C2411yescharacteristic
481C22×Dic5C2411yescharacteristic
482C22×Dic5C2411yescharacteristic
483C22×Dic5C2411yescharacteristic
484C22×Dic5C2411yescharacteristic
485C22×Dic5C2411yescharacteristic
486C22×Dic5C2411yescharacteristic
487C22×Dic5C2411yescharacteristic
488C2×D20—22no—
489C2×D20—22no—
490C2×D20—22no—
491C2×D20—22no—
492C2×D20—22no—
493C2×D20—22no—
494C2×D20—22no—
495C2×D20—22no—
496C2×D20—22no—
497C2×D20—41no—
498C2×D20—41no—
499C2×D20—41no—
500C2×D20—41no—
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—22no—
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×D5—41no—
523C2×C4×D5—41no—
524C2×C4×D5—41no—
525C2×C4×D5C2×D414yes—
526C2×C4×D5#4114yes—
527C2×Dic10—22no—
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—22no—
536C5×C4⋊C4—22no—
537C5×C4⋊C4—41no—
538C5×C4⋊C4—41no—
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—22no—
548C5×C22⋊C4—41no—
549C5×C22⋊C4—41no—
550C42×C5—41no—
551C42×C5—41no—
552C22⋊Dic5—22no—
553C22⋊Dic5—22no—
554C22⋊Dic5—22no—
555C22⋊Dic5—22no—
556C22⋊Dic5—22no—
557C22⋊Dic5—41no—
558C22⋊Dic5C2×D414yes—
559#685—22no—
560#685—22no—
561#685—22no—
562#685—22no—
563#685—22no—
564#685—22no—
565#685—22no—
566#685—22no—
567#685—22no—
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—41no—
583#685—41no—
584#685—41no—
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—41no—
599C4⋊Dic5—41no—
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#683C2×D414yes—
614C4×Dic5—22no—
615C4×Dic5—22no—
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×#123—51no—
644C2×#123C2×D511yescharacteristic
645C2×C22⋊Q8—51no—
646C2×C22⋊Q8—51no—
647C2×C22⋊Q8—51no—
648C2×C22⋊Q8C2×D511yescharacteristic, complemented
649C2×#121—51no—
650C2×#121—51no—
651C2×#121—51no—
652C2×#121—51no—
653C2×#121—51no—
654C2×#121—51no—
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×C42—51no—
670#400—51no—
671#400C2×D511yescharacteristic, complemented
672#399—51no—
673#399C2×D511yescharacteristic
674#398—51no—
675#398—51no—
676#398—51no—
677#398—51no—
678#397—51no—
679#397—51no—
680#397C2×D511yescharacteristic, complemented
681#397C2×D511yescharacteristic, complemented
682#396—51no—
683#396—51no—
684#396—51no—
685#396—51no—
686#395—51no—
687#395C2×D511yescharacteristic, complemented
688#394—51no—
689#394—51no—
690#394—51no—
691#394—51no—
692#394—51no—
693#394—51no—
694#394C2×D511yescharacteristic
695#394C2×D511yescharacteristic
696#393—51no—
697#393C2×D511yescharacteristic
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#390—51no—
713#390—51no—
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#388—51no—
743#388—51no—
744#388C2×D511yescharacteristic
745#388C2×D511yescharacteristic
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#386—51no—
759#386—51no—
760#385—51no—
761#385—51no—
762#385—51no—
763#385—51no—
764#382—51no—
765#381—51no—
766#380—51no—
767#380—51no—
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⋊C4C2×D511yescharacteristic, complemented
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×C5C22×D412yes—
798C23×C5C2511yescharacteristic
799C22×D5—21no—
800C22×D5—21no—
801C22×D5—21no—
802C22×D5—21no—
803C22×D5—21no—
804C22×D5—21no—
805C22×D5—21no—
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×Q8—82no—
835C5×D4—82no—
836C2×C4×C5—21no—
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—21no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—44no—
872C2×C4×C5C22×D412yes—
873C2×C4×C5C22×D412yes—
874C2×C4×C5C2×#4112yes—
875C2×C4×C5C2×#4112yes—
876C22⋊D5—28no—
877C22⋊D5—82no—
878C22⋊D5—82no—
879C22⋊D5—82no—
880C22⋊D5—82no—
881C22⋊D5—82no—
882C2×Dic5—21no—
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—44no—
913C2×Dic5—44no—
914C2×Dic5C22×D412yes—
915C2×Dic5C22×D412yes—
916C2×Dic5C22×D412yes—
917C2×Dic5C2×#4112yes—
918C2×Dic5C2×#4112yes—
919C2×Dic5H(5,𝔽2)12yes—
920D20—44no—
921D20—44no—
922D20—44no—
923D20—82no—
924D20—82no—
925C4×D5—44no—
926C4×D5—44no—
927C4×D5—44no—
928C4×D5—44no—
929C4×D5—82no—
930C4×D5—82no—
931C4×D5—82no—
932C4×D5—82no—
933Dic10—82no—
934C25—51no—
935C22×Q8—51no—
936C22×Q8C22×D511yescharacteristic
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×D4—51no—
947C22×D4—51no—
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×C4—51no—
958C23×C4—51no—
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—104no—
971#123—104no—
972#123—104no—
973#123—104no—
974#123—104no—
975#123—104no—
976C22⋊Q8—24no—
977C22⋊Q8—104no—
978C22⋊Q8—104no—
979C22⋊Q8—104no—
980#121—104no—
981#121—104no—
982#121—104no—
983#121—104no—
984#121—104no—
985#121—202no—
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—104no—
1017C2×C4⋊C4C22×D511yescharacteristic
1018C2×C4⋊C4C22×D511yescharacteristic
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—51no—
1067C2×C22⋊C4—104no—
1068C2×C22⋊C4—104no—
1069C2×C22⋊C4—202no—
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—51no—
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—51no—
1094C2×C42—202no—
1095C2×C42—202no—
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#95C22×D511yescharacteristic
1121#95C22×D511yescharacteristic
1122#95C22×D511yescharacteristic
1123#95C22×D511yescharacteristic
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×C5C23×D411yescharacteristic
1145C22×C5C22×#4111yescharacteristic
1146C22×C5C22×#4111yescharacteristic
1147C22×C5C2×H(5,𝔽2)11yescharacteristic
1148C22×C5#58511yescharacteristic
1149C22×C5#58511yescharacteristic
1150C22×C5#58511yescharacteristic
1151C2×D5—22no—
1152C2×D5—22no—
1153C2×D5—22no—
1154C2×D5—22no—
1155C2×D5—22no—
1156C2×D5—22no—
1157C2×D5—41no—
1158C2×D5—41no—
1159C2×D5—41no—
1160C2×D5—41no—
1161C2×D5—41no—
1162C2×D5—41no—
1163C2×D5—41no—
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—41no—
1185C4×C5—41no—
1186C4×C5—41no—
1187C4×C5—41no—
1188C4×C5—41no—
1189C4×C5—41no—
1190C4×C5—41no—
1191C4×C5—41no—
1192C4×C5—41no—
1193Dic5—22no—
1194Dic5—22no—
1195Dic5—22no—
1196Dic5—22no—
1197Dic5—22no—
1198Dic5—22no—
1199Dic5—41no—
1200Dic5—41no—
1201Dic5—41no—
1202Dic5—41no—
1203Dic5—41no—
1204Dic5—41no—
1205C24—51no—
1206C24—51no—
1207C24—51no—
1208C24—51no—
1209C24—102no—
1210C24—102no—
1211C24—102no—
1212C24—201no—
1213C24—201no—
1214C24—201no—
1215C24—201no—
1216C24C23×D511yescharacteristic
1217C24C23×D511yescharacteristic
1218C2×Q8—22no—
1219C2×Q8—41no—
1220C2×Q8—41no—
1221C2×Q8—102no—
1222C2×Q8—201no—
1223C2×Q8—201no—
1224C2×D4—22no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—54no—
1228C2×D4—102no—
1229C2×D4—102no—
1230C2×D4—102no—
1231C2×D4—102no—
1232C2×D4—102no—
1233C2×D4—102no—
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—201no—
1245C2×D4—201no—
1246C2×D4—201no—
1247C2×D4—201no—
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—41no—
1261C22×C4—41no—
1262C22×C4—51no—
1263C22×C4—51no—
1264C22×C4—51no—
1265C22×C4—51no—
1266C22×C4—51no—
1267C22×C4—51no—
1268C22×C4—54no—
1269C22×C4—54no—
1270C22×C4—51no—
1271C22×C4—51no—
1272C22×C4—51no—
1273C22×C4—51no—
1274C22×C4—51no—
1275C22×C4—51no—
1276C22×C4—102no—
1277C22×C4—102no—
1278C22×C4—102no—
1279C22×C4—102no—
1280C22×C4—102no—
1281C22×C4—102no—
1282C22×C4—102no—
1283C22×C4—102no—
1284C22×C4—102no—
1285C22×C4—102no—
1286C22×C4—102no—
1287C22×C4—102no—
1288C22×C4—201no—
1289C22×C4—201no—
1290C22×C4—201no—
1291C22×C4—201no—
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×C4D4×D514yes—
1305C22×C4C23×D511yescharacteristic
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—22no—
1324C4⋊C4—22no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—54no—
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—41no—
1358C22⋊C4—41no—
1359C22⋊C4—54no—
1360C22⋊C4—54no—
1361C22⋊C4—54no—
1362C22⋊C4—102no—
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—41no—
1401C42—41no—
1402C42—54no—
1403C42—102no—
1404C42—102no—
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×C5C2×#53211yescharacteristic
1418C2×C5#345511yescharacteristic
1419C2×C5#345911yescharacteristic
1420C2×C5#349611yescharacteristic
1421C2×C5#350011yescharacteristic
1422C2×C5#351311yescharacteristic
1423C2×C5#352111yescharacteristic
1424D5—24no—
1425D5—81no—
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—52no—
1442C23—52no—
1443C23—52no—
1444C23—101no—
1445C23—101no—
1446C23—101no—
1447C23—101no—
1448C23—101no—
1449C23—101no—
1450C23—101no—
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—82no—
1479Q8—402no—
1480D4—82no—
1481D4—108no—
1482D4—204no—
1483D4—204no—
1484D4—204no—
1485D4—402no—
1486D4—402no—
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—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—44no—
1528C2×C4—52no—
1529C2×C4—52no—
1530C2×C4—52no—
1531C2×C4—52no—
1532C2×C4—52no—
1533C2×C4—52no—
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—204no—
1565C2×C4—204no—
1566C2×C4—204no—
1567C2×C4—204no—
1568C2×C4—204no—
1569C2×C4—204no—
1570C2×C4—402no—
1571C2×C4—402no—
1572C2×C4—402no—
1573C2×C4—402no—
1574C2×C4C2×D4×D512yes—
1575C2×C4C2×D4×D512yes—
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—54no—
1594C22—102no—
1595C22—102no—
1596C22—102no—
1597C22—102no—
1598C22—102no—
1599C22—102no—
1600C22—201no—
1601C22—201no—
1602C22—201no—
1603C22—201no—
1604C22—201no—
1605C22—201no—
1606C22—201no—
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×D5×#4111yescharacteristic
1624C22C2×D5×#4111yescharacteristic
1625C22D5×H(5,𝔽2)11yescharacteristic
1626C22#6628511yescharacteristic
1627C22#6628711yescharacteristic
1628C22#6628711yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—102no—
1643C4—102no—
1644C4—102no—
1645C4—102no—
1646C4—102no—
1647C4—102no—
1648C4—201no—
1649C4—201no—
1650C4—201no—
1651C4—201no—
1652C4—201no—
1653C4—201no—
1654C2—42no—
1655C2—81no—
1656C2—104no—
1657C2—401no—
1658C2—401no—
1659C2—401no—
1660C2D5×#53211yescharacteristic
1661C2#1061819911yescharacteristic
1662C2#1061824211yescharacteristic
1663C2#1061832911yescharacteristic
1664C2#1061833411yescharacteristic
1665C2#1061842411yescharacteristic
1666C2#1061845411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2663C2
hypercenter#2663D5
hypocenterC5#35009
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2663

Complements

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

NH ≅ G/Ntype
1. C2×#65991C2semidirect
2. C2×#65972C2semidirect
3. C5×#2663C2semidirect
4. #10614622C2semidirect
5. #10614540C2semidirect
6. #10610077C2semidirect
7. #10609909C2semidirect
8. #10609838C2semidirect
9. #10609764C2semidirect
10. #10609413C2semidirect
11. #10609403C2semidirect
12. #10609247C2semidirect
13. #10609232C2semidirect
14. #10608984C2semidirect
15. #10608907C2semidirect
16. #10608850C2semidirect
17. #10608845C2semidirect
18. #10608684C2semidirect
19. #10608648C2semidirect
20. #10608529C2semidirect
21. #10608521C2semidirect
22. #10607927C2semidirect
23. #10607922C2semidirect
24. #10607839C2semidirect
25. #10607695C2semidirect
26. #10607557C2semidirect
27. D5×#388C2semidirect
28. #10607552C2semidirect
29. #10607394C2semidirect
30. #10605342C2semidirect
31. C4×#4027C2semidirect
33. C2×C5×C22⋊Q8C22semidirect
36. C2×#4092C22semidirect
41. C2×#4075C22semidirect
43. C22×C4×Dic5C22semidirect
47. C2×#4044C22semidirect
55. C2×#4039C22semidirect
57. C2×#4035C22semidirect
58. C2×#4035C22semidirect
64. C2×#4029C22semidirect
73. C2×#4025C22semidirect
75. C5×#400C22semidirect
77. C5×#397C22semidirect
78. C5×#397C22semidirect
79. C5×#395C22semidirect
83. C5×#389C22semidirect
84. C5×#389C22semidirect
87. C4×C5×C22⋊C4C22semidirect
88. #65519C22semidirect
94. #65279C22semidirect
95. #65279C22semidirect
96. #65279C22semidirect
97. #65279C22semidirect
99. #65278C22semidirect
104. #65274C22semidirect
105. #65273C22semidirect
106. #65270C22semidirect
107. #65269C22semidirect
108. #65266C22semidirect
109. C4⋊C4×Dic5C22semidirect
110. #65262C22semidirect
111. #65261C22semidirect
112. #65261C22semidirect
115. #65250C22semidirect
118. #65249C22semidirect
122. #65247C22semidirect
123. #65247C22semidirect
124. #65247C22semidirect
139. #65231C22semidirect
140. C22⋊C4×Dic5C22semidirect
141. C22⋊C4×Dic5C22semidirect
143. #65229C22semidirect
145. #65228C22semidirect
147. C4×#683C22semidirect
148. C42×Dic5C22semidirect
150. #64965C22semidirect
152. #64963C22semidirect
153. #64962C22semidirect
155. #64961C22semidirect
159. #64959C22semidirect
160. #64959C22semidirect
164. #64958C22semidirect
165. #64958C22semidirect
167. #64957C22semidirect
170. #64955C22semidirect
171. #64955C22semidirect
180. #64950C22semidirect
181. #64949C22semidirect
182. #64946C22semidirect
183. #64945C22semidirect
184. #64941C22semidirect
185. #64938C22semidirect
186. #64938C22semidirect
187. #64935C22semidirect
188. #64935C22semidirect
255. C4×C22⋊D5D4semidirect
393. #2663D5semidirect
648. C2×C22⋊Q8C2×D5semidirect
671. #400C2×D5semidirect
680. #397C2×D5semidirect
681. #397C2×D5semidirect
687. #395C2×D5semidirect
718. #389C2×D5semidirect
719. #389C2×D5semidirect
780. C4×C22⋊C4C2×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×#659912
C2×#659722
C5×#26632
#106146222
#106145402
#106100772
#106099092
#106098382
#106097642
#106094132
#106094032
#106092472
#106092322
#106089842
#106089072
#106088502
#106088452
#106086842
#106086482
#106085292
#106085212
#106079272
#106079222
#106078392
#106076952
#106075572
D5×#3882
#106075522
#106073942
#106053422
C4×#40272
#350095