Finite Group Databasebeta

← #12271977

Subgroups — #12271977

Order 1280.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C22⋊D5C211yesmaximal, characteristic, complemented
2C2×#65894C211yesmaximal, characteristic, complemented
3C4×C5×#120C211yesmaximal, characteristic, complemented
4C2×#65502C211yesmaximal, characteristic, complemented
5#10614337C211yesmaximal, characteristic, complemented
6#10614337C211yesmaximal, characteristic, complemented
7#10614142C211yesmaximal, characteristic, complemented
8#10614138C211yesmaximal, characteristic, complemented
9#10614095C211yesmaximal, characteristic, complemented
10#10614087C211yesmaximal, characteristic, complemented
11#10614058C211yesmaximal, characteristic, complemented
12#10606666C211yesmaximal, characteristic, complemented
13#10606639C211yesmaximal, characteristic, complemented
14#10606624C211yesmaximal, characteristic, complemented
15#10606600C211yesmaximal, characteristic, complemented
16#10606514C211yesmaximal, characteristic, complemented
17#10606436C211yesmaximal, characteristic, complemented
18#10606387C211yesmaximal, characteristic, complemented
19#10606354C211yesmaximal, characteristic, complemented
20#10606353C211yesmaximal, characteristic, complemented
21#10606334C211yesmaximal, characteristic, complemented
22#10606318C211yesmaximal, characteristic, complemented
23#10606154C211yesmaximal, characteristic, complemented
24#10605583C211yesmaximal, characteristic, complemented
25#10605559C211yesmaximal, characteristic, complemented
26#10605325C211yesmaximal, characteristic, complemented
27#10605321C211yesmaximal, characteristic, complemented
28#10605300C211yesmaximal, characteristic, complemented
29#10605299C211yesmaximal, characteristic, complemented
30#10605234C211yesmaximal, characteristic, complemented
31#10605230C211yesmaximal, characteristic, complemented
32C24×C4×C5C2211yescharacteristic
33C23×C22⋊D5C2211yescharacteristic
34C23×C22⋊D5C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic, complemented
36C2×C5×#120C2211yescharacteristic
37C2×C4×C5×D4C2211yescharacteristic, complemented
38C2×C4×C5×D4C2211yescharacteristic, complemented
39C2×C4×C5×D4C2211yescharacteristic, complemented
40C22×C22⋊Dic5C2211yescharacteristic
41C22×C22⋊Dic5C2211yescharacteristic
42C2×#4085C2211yescharacteristic
43C2×#4085C2211yescharacteristic
44C2×#4085C2211yescharacteristic
45C2×#4085C2211yescharacteristic
46C2×#4083C2211yescharacteristic, complemented
47C2×#4083C2211yescharacteristic, complemented
48C2×#4076C2211yescharacteristic, complemented
49C2×#4075C2211yescharacteristic, complemented
50C2×C4×C22⋊D5—28no—
51C2×C4×C22⋊D5C2211yescharacteristic
52C2×C4×C22⋊D5C2211yescharacteristic
53C2×C4×C22⋊D5C2211yescharacteristic
54C2×C4×C22⋊D5C2211yescharacteristic
55C2×C4×C22⋊D5C2211yescharacteristic, complemented
56C2×C4×C22⋊D5C2211yescharacteristic, complemented
57C2×C4×C22⋊D5C2211yescharacteristic, complemented
58C2×C4×C22⋊D5C2211yescharacteristic, complemented
59C22×#685C2211yescharacteristic, complemented
60C22×#685C2211yescharacteristic, complemented
61C22×#685C2211yescharacteristic, complemented
62C22×#683C2211yescharacteristic, complemented
63C22×C4×Dic5C2211yescharacteristic, complemented
64#65894—28no—
65C2×#4044C2211yescharacteristic, complemented
66C2×#4040C2211yescharacteristic, complemented
67C2×#4040C2211yescharacteristic, complemented
68C2×#4031C2211yescharacteristic, complemented
69C2×#4030C2211yescharacteristic, complemented
70C2×#4030C2211yescharacteristic, complemented
71C2×#4028C2211yescharacteristic
72C2×#4028C2211yescharacteristic
73C2×#4028C2211yescharacteristic
74C2×#4028C2211yescharacteristic
75C2×#4024C2211yescharacteristic, complemented
76C2×#4024C2211yescharacteristic, complemented
77C2×#4022C2211yescharacteristic, complemented
78C2×#4021C2211yescharacteristic, complemented
79C5×#386C2211yescharacteristic, complemented
80C5×#386C2211yescharacteristic, complemented
81C5×#386C2211yescharacteristic, complemented
82C5×#385C2211yescharacteristic, complemented
83C5×#385C2211yescharacteristic, complemented
84C5×#385C2211yescharacteristic, complemented
85C5×#379C2211yescharacteristic
86C4×C5×C22⋊C4C2211yescharacteristic, complemented
87C4×C5×C22⋊C4C2211yescharacteristic, complemented
88C4×C5×C22⋊C4C2211yescharacteristic, complemented
89#65512C2211yescharacteristic, complemented
90#65512C2211yescharacteristic, complemented
91#65512C2211yescharacteristic, complemented
92#65512C2211yescharacteristic, complemented
93#65509C2211yescharacteristic, complemented
94#65509C2211yescharacteristic, complemented
95#65502C2211yescharacteristic
96#65502C2211yescharacteristic
97#65502C2211yescharacteristic
98#65502C2211yescharacteristic
99#65502C2211yescharacteristic, complemented
100#65502C2211yescharacteristic, complemented
101#65502C2211yescharacteristic, complemented
102#65502C2211yescharacteristic, complemented
103#65502C2211yescharacteristic, complemented
104#65499C2211yescharacteristic, complemented
105C2×#3963C2211yescharacteristic, complemented
106C2×#3963C2211yescharacteristic, complemented
107#65283C2211yescharacteristic, complemented
108#65281C2211yescharacteristic, complemented
109#65280C2211yescharacteristic, complemented
110#65279C2211yescharacteristic, complemented
111#65278C2211yescharacteristic, complemented
112#65278C2211yescharacteristic, complemented
113#65270C2211yescharacteristic, complemented
114#65269C2211yescharacteristic, complemented
115#65267C2211yescharacteristic, complemented
116#65250C2211yescharacteristic, complemented
117#65249C2211yescharacteristic
118#65249C2211yescharacteristic
119#65249C2211yescharacteristic
120#65249C2211yescharacteristic
121#65249C2211yescharacteristic, complemented
122#65248C2211yescharacteristic, complemented
123#65248C2211yescharacteristic, complemented
124#65248C2211yescharacteristic, complemented
125#65248C2211yescharacteristic, complemented
126#65248C2211yescharacteristic, complemented
127#65247C2211yescharacteristic
128#65247C2211yescharacteristic
129#65247C2211yescharacteristic
130#65247C2211yescharacteristic
131#65247C2211yescharacteristic
132#65247C2211yescharacteristic
133#65247C2211yescharacteristic
134#65247C2211yescharacteristic
135#65246C2211yescharacteristic, complemented
136#65245C2211yescharacteristic, complemented
137#65245C2211yescharacteristic, complemented
138#65244C2211yescharacteristic, complemented
139#65244C2211yescharacteristic, complemented
140#65241C2211yescharacteristic, complemented
141#65240C2211yescharacteristic, complemented
142#65239C2211yescharacteristic, complemented
143#65239C2211yescharacteristic, complemented
144#65238C2211yescharacteristic, complemented
145#65237C2211yescharacteristic, complemented
146#65237C2211yescharacteristic, complemented
147#65236C2211yescharacteristic, complemented
148#65235C2211yescharacteristic, complemented
149#65235C2211yescharacteristic, complemented
150#65235C2211yescharacteristic, complemented
151#65235C2211yescharacteristic, complemented
152#65233C2211yescharacteristic, complemented
153#65231C2211yescharacteristic, complemented
154#65231C2211yescharacteristic, complemented
155#65229C2211yescharacteristic, complemented
156#65229C2211yescharacteristic, complemented
157#65229C2211yescharacteristic, complemented
158#65229C2211yescharacteristic, complemented
159#65229C2211yescharacteristic, complemented
160#65228C2211yescharacteristic, complemented
161#65228C2211yescharacteristic, complemented
162#65222C2211yescharacteristic, complemented
163#65222C2211yescharacteristic, complemented
164#65222C2211yescharacteristic, complemented
165#64965C2211yescharacteristic, complemented
166#64964C2211yescharacteristic, complemented
167#64963C2211yescharacteristic, complemented
168#64962C2211yescharacteristic, complemented
169#64961C2211yescharacteristic, complemented
170#64961C2211yescharacteristic, complemented
171#64959C2211yescharacteristic, complemented
172#64959C2211yescharacteristic, complemented
173#64958C2211yescharacteristic, complemented
174#64958C2211yescharacteristic, complemented
175#64956C2211yescharacteristic, complemented
176#64956C2211yescharacteristic, complemented
177#64954C2211yescharacteristic, complemented
178#64954C2211yescharacteristic, complemented
179#64954C2211yescharacteristic, complemented
180#64954C2211yescharacteristic, complemented
181#64953C2211yescharacteristic, complemented
182#64953C2211yescharacteristic, complemented
183#64947C2211yescharacteristic, complemented
184#64947C2211yescharacteristic, complemented
185#64943C2211yescharacteristic, complemented
186#64940C2211yescharacteristic, complemented
187#64939C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#34990—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C24×D5C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C23×C4×C5—24no—
197C23×C4×C5—42no—
198C23×C4×C5—42no—
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C23×C4×C5C2311yescharacteristic
204C23×C4×C5C2311yescharacteristic
205C23×C4×C5C2311yescharacteristic
206C22×C22⋊D5—24no—
207C22×C22⋊D5—24no—
208C22×C22⋊D5—24no—
209C22×C22⋊D5—24no—
210C22×C22⋊D5—42no—
211C22×C22⋊D5—42no—
212C22×C22⋊D5C2311yescharacteristic
213C22×C22⋊D5C2311yescharacteristic
214C22×C22⋊D5C2311yescharacteristic
215C22×C22⋊D5C2311yescharacteristic
216C22×C22⋊D5C2311yescharacteristic
217C22×C22⋊D5C2311yescharacteristic
218C22×C22⋊D5C2311yescharacteristic
219C22×C22⋊D5C2311yescharacteristic
220C22×C22⋊D5C2311yescharacteristic
221C22×C22⋊D5C2311yescharacteristic
222C22×C22⋊D5C2311yescharacteristic
223C22×C22⋊D5C2311yescharacteristic
224C23×Dic5C2311yescharacteristic
225C23×Dic5C2311yescharacteristic
226C23×Dic5C2311yescharacteristic
227C23×Dic5C2311yescharacteristic
228C23×Dic5C2311yescharacteristic
229C23×Dic5C2311yescharacteristic
230C22×D20C2311yescharacteristic
231C22×D20C2311yescharacteristic
232C22×D20C2311yescharacteristic
233C22×D20C2311yescharacteristic
234C22×C4×D5—24no—
235C22×C4×D5—42no—
236C22×C4×D5—42no—
237C22×C4×D5C2311yescharacteristic
238C22×C4×D5C2311yescharacteristic
239C22×C4×D5C2311yescharacteristic
240C22×C4×D5C2311yescharacteristic
241C22×Dic10C2311yescharacteristic
242C5×#120—24no—
243C4×C5×D4—24no—
244C4×C5×D4—42no—
245C4×C5×D4—42no—
246C2×C5×C4⋊C4C2311yescharacteristic
247C2×C5×C4⋊C4C2311yescharacteristic
248C2×C5×C4⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4C2311yescharacteristic
251C2×C5×C22⋊C4C2311yescharacteristic
252C2×C5×C22⋊C4C2311yescharacteristic
253C2×C5×C22⋊C4C2311yescharacteristic
254C2×C5×C22⋊C4C2311yescharacteristic
255C2×C5×C22⋊C4C2311yescharacteristic
256C2×C5×C22⋊C4C2311yescharacteristic
257C2×C5×C22⋊C4C2311yescharacteristic
258C2×C5×C22⋊C4C2311yescharacteristic
259C2×C5×C22⋊C4C2311yescharacteristic
260C2×C5×C22⋊C4C2311yescharacteristic
261C2×C42×C5C2311yescharacteristic
262C2×C42×C5C2311yescharacteristic
263C2×C42×C5C2311yescharacteristic
264C2×C22⋊Dic5—24no—
265C2×C22⋊Dic5—42no—
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268C2×C22⋊Dic5C2311yescharacteristic
269C2×C22⋊Dic5C2311yescharacteristic
270C2×C22⋊Dic5C2311yescharacteristic
271C2×C22⋊Dic5C2311yescharacteristic
272C2×C22⋊Dic5C2311yescharacteristic
273C2×C22⋊Dic5C2311yescharacteristic
274C2×C22⋊Dic5C2311yescharacteristic
275C2×C22⋊Dic5C2311yescharacteristic
276C2×C22⋊Dic5C2311yescharacteristic
277C2×C22⋊Dic5C2311yescharacteristic
278#4085—24no—
279#4085—24no—
280#4085—42no—
281#4085—42no—
282#4083—24no—
283#4083—42no—
284#4076—24no—
285#4075—24no—
286C4×C22⋊D5—24no—
287C4×C22⋊D5—24no—
288C4×C22⋊D5—24no—
289C4×C22⋊D5—24no—
290C4×C22⋊D5—24no—
291C4×C22⋊D5—24no—
292C4×C22⋊D5—24no—
293C4×C22⋊D5D418yescomplemented
294C2×#685—24no—
295C2×#685—24no—
296C2×#685—42no—
297C2×#685C2311yescharacteristic
298C2×#685C2311yescharacteristic
299C2×#685C2311yescharacteristic
300C2×#685C2311yescharacteristic
301C2×#685C2311yescharacteristic
302C2×#685C2311yescharacteristic
303C2×#685C2311yescharacteristic
304C2×#685C2311yescharacteristic
305C2×#685C2311yescharacteristic
306C2×#685C2311yescharacteristic
307C2×#685C2311yescharacteristic
308C2×#685C2311yescharacteristic
309C2×#685C2311yescharacteristic
310C2×#685C2311yescharacteristic
311C2×#685C2311yescharacteristic
312C2×#685C2311yescharacteristic
313C2×#685C2311yescharacteristic
314C2×#685C2311yescharacteristic
315C2×#685C2311yescharacteristic
316C2×#685C2311yescharacteristic
317C2×#685C2311yescharacteristic
318C2×#685C2311yescharacteristic
319C2×#685C2311yescharacteristic
320C2×#685C2311yescharacteristic
321C2×#685C2311yescharacteristic
322C2×#685C2311yescharacteristic
323C2×#685C2311yescharacteristic
324C2×#685C2311yescharacteristic
325C2×#685C2311yescharacteristic
326C2×#685C2311yescharacteristic
327C2×#685C2311yescharacteristic
328C2×#685C2311yescharacteristic
329C2×C4⋊Dic5C2311yescharacteristic
330C2×C4⋊Dic5C2311yescharacteristic
331C2×C4⋊Dic5C2311yescharacteristic
332C2×#683—24no—
333C2×#683C2311yescharacteristic
334C2×#683C2311yescharacteristic
335C2×#683C2311yescharacteristic
336C2×#683C2311yescharacteristic
337C2×#683C2311yescharacteristic
338C2×#683C2311yescharacteristic
339C2×#683C2311yescharacteristic
340C2×#683C2311yescharacteristic
341C2×#683C2311yescharacteristic
342C2×#683C2311yescharacteristic
343C2×#683C2311yescharacteristic
344C2×#683C2311yescharacteristic
345C2×#683C2311yescharacteristic
346C2×#683C2311yescharacteristic
347C2×C4×Dic5—24no—
348C2×C4×Dic5C2311yescharacteristic
349C2×C4×Dic5C2311yescharacteristic
350C2×C4×Dic5C2311yescharacteristic
351C2×C4×Dic5C2311yescharacteristic
352#4044—24no—
353#4040—24no—
354#4040—42no—
355#4031—24no—
356#4030—24no—
357#4030—42no—
358#4028—24no—
359#4028—24no—
360#4028—42no—
361#4028—42no—
362#4024—24no—
363#4024—42no—
364#4022—24no—
365#4021—24no—
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
370C5×#95C2311yescharacteristic
371C5×#95C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392#3963C2311yescharacteristic
393#3963C2311yescharacteristic
394#3963C2311yescharacteristic
395#3963C2311yescharacteristic
396#3963C2311yescharacteristic
397#3963C2311yescharacteristic
398C2×#538—51no—
399C22×C4×D4—51no—
400#2852—51no—
401#2850—51no—
402#2849—51no—
403#2847—51no—
404#2636—51no—
405#2635—51no—
406#2631—51no—
407#2630—51no—
408#2481—51no—
409#2472—51no—
410#2467—51no—
411#2459—51no—
412#2456—51no—
413#2456—51no—
414#2450—51no—
415#2444—51no—
416#2443—51no—
417#2437—51no—
418#2424—51no—
419#2424—51no—
420#2418—51no—
421#2410—51no—
422#2410—51no—
423#2403—51no—
424#2325—51no—
425#2321—51no—
426#2318—51no—
427C4×#120D511yescharacteristic, complemented
428C2×#386—51no—
429C24×C5—22no—
430C24×C5—22no—
431C24×C5—22no—
432C24×C5—22no—
433C24×C5—41no—
434C24×C5—41no—
435C24×C5#4114yes—
436C24×C5C2411yescharacteristic
437C24×C5C2411yescharacteristic
438C24×C5C2411yescharacteristic
439C24×C5C2411yescharacteristic
440C23×D5—22no—
441C23×D5—22no—
442C23×D5—22no—
443C23×D5—22no—
444C23×D5—22no—
445C23×D5—22no—
446C23×D5—22no—
447C23×D5—22no—
448C23×D5—41no—
449C23×D5—41no—
450C23×D5—41no—
451C23×D5—41no—
452C23×D5—41no—
453C23×D5—41no—
454C23×D5C2411yescharacteristic
455C23×D5C2411yescharacteristic
456C23×D5C2411yescharacteristic
457C23×D5C2411yescharacteristic
458C2×C5×D4—22no—
459C2×C5×D4—22no—
460C2×C5×D4—22no—
461C2×C5×D4—22no—
462C2×C5×D4—22no—
463C2×C5×D4—22no—
464C2×C5×D4—22no—
465C2×C5×D4—41no—
466C2×C5×D4—41no—
467C22×C4×C5—22no—
468C22×C4×C5—22no—
469C22×C4×C5—22no—
470C22×C4×C5—22no—
471C22×C4×C5—22no—
472C22×C4×C5—22no—
473C22×C4×C5—22no—
474C22×C4×C5—22no—
475C22×C4×C5—22no—
476C22×C4×C5—22no—
477C22×C4×C5—22no—
478C22×C4×C5—41no—
479C22×C4×C5—41no—
480C22×C4×C5—41no—
481C22×C4×C5—41no—
482C22×C4×C5—41no—
483C22×C4×C5—41no—
484C22×C4×C5—41no—
485C22×C4×C5—41no—
486C22×C4×C5—41no—
487C22×C4×C5—416no—
488C22×C4×C5C2×D414yes—
489C22×C4×C5C2411yescharacteristic
490C22×C4×C5C2411yescharacteristic
491C22×C4×C5C2411yescharacteristic
492C22×C4×C5C2411yescharacteristic
493C22×C4×C5C2411yescharacteristic
494C22×C4×C5C2411yescharacteristic
495C22×C4×C5C2411yescharacteristic
496C22×C4×C5C2411yescharacteristic
497C22×C4×C5C2411yescharacteristic
498C22×C4×C5C2411yescharacteristic
499C22×C4×C5C2411yescharacteristic
500C2×C22⋊D5—232no—
501C2×C22⋊D5—22no—
502C2×C22⋊D5—22no—
503C2×C22⋊D5—22no—
504C2×C22⋊D5—22no—
505C2×C22⋊D5—22no—
506C2×C22⋊D5—22no—
507C2×C22⋊D5—22no—
508C2×C22⋊D5—22no—
509C2×C22⋊D5—22no—
510C2×C22⋊D5—22no—
511C2×C22⋊D5—22no—
512C2×C22⋊D5—22no—
513C2×C22⋊D5—22no—
514C2×C22⋊D5—22no—
515C2×C22⋊D5—22no—
516C2×C22⋊D5—22no—
517C2×C22⋊D5—22no—
518C2×C22⋊D5—22no—
519C2×C22⋊D5—22no—
520C2×C22⋊D5—22no—
521C2×C22⋊D5—22no—
522C2×C22⋊D5—22no—
523C2×C22⋊D5—41no—
524C2×C22⋊D5—41no—
525C2×C22⋊D5—41no—
526C2×C22⋊D5—41no—
527C2×C22⋊D5—41no—
528C2×C22⋊D5—41no—
529C2×C22⋊D5—41no—
530C2×C22⋊D5—41no—
531C2×C22⋊D5—41no—
532C2×C22⋊D5—41no—
533C2×C22⋊D5—41no—
534C2×C22⋊D5—41no—
535C2×C22⋊D5—416no—
536C2×C22⋊D5C2×D414yes—
537C2×C22⋊D5#4114yes—
538C22×Dic5—22no—
539C22×Dic5—22no—
540C22×Dic5—22no—
541C22×Dic5—22no—
542C22×Dic5—22no—
543C22×Dic5—22no—
544C22×Dic5—22no—
545C22×Dic5—22no—
546C22×Dic5—22no—
547C22×Dic5—22no—
548C22×Dic5—41no—
549C22×Dic5—41no—
550C22×Dic5—41no—
551C22×Dic5—41no—
552C22×Dic5—41no—
553C22×Dic5—41no—
554C22×Dic5—41no—
555C22×Dic5—41no—
556C22×Dic5C2411yescharacteristic
557C22×Dic5C2411yescharacteristic
558C22×Dic5C2411yescharacteristic
559C22×Dic5C2411yescharacteristic
560C22×Dic5C2411yescharacteristic
561C22×Dic5C2411yescharacteristic
562C22×Dic5C2411yescharacteristic
563C22×Dic5C2411yescharacteristic
564C22×Dic5C2411yescharacteristic
565C22×Dic5C2411yescharacteristic
566C22×Dic5C2411yescharacteristic
567C22×Dic5C2411yescharacteristic
568C2×D20—22no—
569C2×D20—22no—
570C2×D20—22no—
571C2×D20—22no—
572C2×D20—41no—
573C2×D20—41no—
574C2×D20—41no—
575C2×D20—41no—
576C2×D20—41no—
577C2×D20—41no—
578C2×D20—41no—
579C2×D20—41no—
580C2×C4×D5—22no—
581C2×C4×D5—22no—
582C2×C4×D5—22no—
583C2×C4×D5—22no—
584C2×C4×D5—22no—
585C2×C4×D5—41no—
586C2×C4×D5—41no—
587C2×C4×D5—41no—
588C2×C4×D5—41no—
589C2×C4×D5—41no—
590C2×C4×D5—41no—
591C2×C4×D5—416no—
592C2×C4×D5C2×D414yescomplemented
593C2×Dic10—22no—
594C2×Dic10—41no—
595C2×Dic10—41no—
596C5×C4⋊C4—22no—
597C5×C4⋊C4—22no—
598C5×C4⋊C4—41no—
599C5×C22⋊C4—22no—
600C5×C22⋊C4—22no—
601C5×C22⋊C4—22no—
602C5×C22⋊C4—22no—
603C5×C22⋊C4—22no—
604C5×C22⋊C4—22no—
605C5×C22⋊C4—22no—
606C5×C22⋊C4—22no—
607C5×C22⋊C4—22no—
608C5×C22⋊C4—41no—
609C5×C22⋊C4—41no—
610C5×C22⋊C4—41no—
611C42×C5—22no—
612C42×C5—41no—
613C42×C5—41no—
614C22⋊Dic5—22no—
615C22⋊Dic5—22no—
616C22⋊Dic5—22no—
617C22⋊Dic5—22no—
618C22⋊Dic5—22no—
619C22⋊Dic5—22no—
620C22⋊Dic5—22no—
621C22⋊Dic5—41no—
622C22⋊Dic5—41no—
623C22⋊Dic5—41no—
624C22⋊Dic5—41no—
625C22⋊Dic5C2×D414yes—
626#685—22no—
627#685—22no—
628#685—22no—
629#685—22no—
630#685—22no—
631#685—22no—
632#685—22no—
633#685—22no—
634#685—22no—
635#685—22no—
636#685—22no—
637#685—22no—
638#685—22no—
639#685—22no—
640#685—22no—
641#685—22no—
642#685—22no—
643#685—41no—
644#685—41no—
645#685—41no—
646#685—41no—
647#685—41no—
648#685—41no—
649#685—41no—
650#685—41no—
651#685—41no—
652#685—41no—
653#685—41no—
654#685—41no—
655#685—41no—
656#685—41no—
657#685C2×D414yescomplemented
658C4⋊Dic5—22no—
659C4⋊Dic5—41no—
660C4⋊Dic5—41no—
661#683—22no—
662#683—22no—
663#683—22no—
664#683—22no—
665#683—22no—
666#683—22no—
667#683—22no—
668#683—41no—
669#683—41no—
670#683—41no—
671#683—41no—
672#683—41no—
673#683—41no—
674#683C2×D414yescomplemented
675C4×Dic5—22no—
676C4×Dic5—22no—
677C4×Dic5—22no—
678C4×Dic5C2×D414yescomplemented
679C23×D4—51no—
680C23×D4—51no—
681C24×C4—51no—
682C24×C4C2×D511yescharacteristic
683#538—108no—
684C2×#126—51no—
685C2×#126—51no—
686C2×#124—51no—
687C2×#124—51no—
688C2×#123—51no—
689C2×#123—51no—
690C2×#123—51no—
691C2×C22⋊Q8—51no—
692C2×C22⋊Q8—51no—
693C2×#121—51no—
694C2×#121—51no—
695C2×#121—51no—
696C2×#121—51no—
697C2×#121—51no—
698C2×#121—51no—
699C2×#121—51no—
700C2×#120—51no—
701C2×#120—51no—
702C2×#120—51no—
703C2×#120—51no—
704C2×#120—51no—
705C2×#120—51no—
706C2×#120C2×D511yescharacteristic
707C2×C4×D4—51no—
708C2×C4×D4—51no—
709C2×C4×D4—51no—
710C2×C4×D4—51no—
711C2×C4×D4—51no—
712C2×C4×D4—51no—
713C2×C4×D4—51no—
714C2×C4×D4—51no—
715C2×C4×D4—108no—
716C2×C4×D4C2×D511yescharacteristic, complemented
717C2×C4×D4C2×D511yescharacteristic, complemented
718C2×C4×D4C2×D511yescharacteristic, complemented
719C22×C4⋊C4—51no—
720C22×C22⋊C4—51no—
721C22×C22⋊C4—51no—
722C22×C22⋊C4—51no—
723C22×C22⋊C4—51no—
724C22×C22⋊C4—51no—
725C22×C42—51no—
726#400—51no—
727#400—51no—
728#399—51no—
729#399—51no—
730#398—51no—
731#397—51no—
732#397—51no—
733#397—51no—
734#396—51no—
735#396—51no—
736#396—51no—
737#396—51no—
738#394—51no—
739#394—51no—
740#394—51no—
741#394—51no—
742#394—51no—
743#394—51no—
744#394—51no—
745#394—51no—
746#394—51no—
747#393—51no—
748#393—51no—
749#392—51no—
750#392—51no—
751#392—51no—
752#392—51no—
753#392—51no—
754#392—51no—
755#392—51no—
756#392—51no—
757#392—51no—
758#391—51no—
759#390—51no—
760#390—51no—
761#390—51no—
762#388—51no—
763#388—51no—
764#388—51no—
765#388—51no—
766#388—51no—
767#388—51no—
768#388—51no—
769#388—51no—
770#388—51no—
771#388—51no—
772#388—51no—
773#388—51no—
774#387—51no—
775#387—51no—
776#387—51no—
777#387—51no—
778#387—51no—
779#387—51no—
780#386—51no—
781#386—51no—
782#386—51no—
783#386—51no—
784#386—51no—
785#386—51no—
786#386—51no—
787#386—51no—
788#386—51no—
789#386—51no—
790#386—51no—
791#386—51no—
792#386—51no—
793#386—51no—
794#386—51no—
795#386—51no—
796#386—51no—
797#386—51no—
798#386—51no—
799#386—51no—
800#386—51no—
801#386—51no—
802#386—51no—
803#386—51no—
804#386—51no—
805#386C2×D511yescharacteristic, complemented
806#386C2×D511yescharacteristic, complemented
807#386C2×D511yescharacteristic, complemented
808#385—51no—
809#385—51no—
810#385—51no—
811#385—51no—
812#385—51no—
813#385—51no—
814#385—51no—
815#385—51no—
816#385—51no—
817#385C2×D511yescharacteristic, complemented
818#385C2×D511yescharacteristic, complemented
819#385C2×D511yescharacteristic, complemented
820#383—51no—
821#382—51no—
822#381—51no—
823#381—51no—
824#380—51no—
825#380—51no—
826#380—51no—
827#380—51no—
828#379—51no—
829#379—51no—
830#379C2×D511yescharacteristic
831C4×C22⋊C4C2×D511yescharacteristic, complemented
832C4×C22⋊C4C2×D511yescharacteristic, complemented
833C4×C22⋊C4C2×D511yescharacteristic, complemented
834C2×#95—51no—
835C2×#95—51no—
836C23×C5—21no—
837C23×C5—21no—
838C23×C5—21no—
839C23×C5—21no—
840C23×C5—21no—
841C23×C5—21no—
842C23×C5—21no—
843C23×C5—21no—
844C23×C5—28no—
845C23×C5—28no—
846C23×C5—21no—
847C23×C5—21no—
848C23×C5—21no—
849C23×C5—21no—
850C23×C5—21no—
851C23×C5—21no—
852C23×C5—21no—
853C23×C5—21no—
854C23×C5—21no—
855C23×C5—21no—
856C23×C5—21no—
857C23×C5—21no—
858C23×C5—21no—
859C23×C5—44no—
860C23×C5—44no—
861C23×C5—44no—
862C23×C5—44no—
863C23×C5—44no—
864C23×C5C22×D412yes—
865C23×C5C2×#4112yes—
866C23×C5C2×#4112yes—
867C23×C5C2×#4112yes—
868C23×C5C2×#4112yes—
869C23×C5H(5,𝔽2)12yes—
870C23×C5H(5,𝔽2)12yes—
871C23×C5C2511yescharacteristic
872C22×D5—28no—
873C22×D5—21no—
874C22×D5—21no—
875C22×D5—21no—
876C22×D5—21no—
877C22×D5—21no—
878C22×D5—21no—
879C22×D5—21no—
880C22×D5—21no—
881C22×D5—21no—
882C22×D5—21no—
883C22×D5—21no—
884C22×D5—21no—
885C22×D5—21no—
886C22×D5—21no—
887C22×D5—21no—
888C22×D5—21no—
889C22×D5—21no—
890C22×D5—21no—
891C22×D5—21no—
892C22×D5—21no—
893C22×D5—21no—
894C22×D5—21no—
895C22×D5—21no—
896C22×D5—21no—
897C22×D5—21no—
898C22×D5—21no—
899C22×D5—44no—
900C22×D5—44no—
901C22×D5—44no—
902C22×D5—44no—
903C22×D5—44no—
904C22×D5—44no—
905C22×D5—44no—
906C22×D5—44no—
907C22×D5—44no—
908C22×D5—82no—
909C22×D5—82no—
910C22×D5—82no—
911C22×D5—82no—
912C22×D5C22×D412yes—
913C22×D5C2×#4112yes—
914C5×D4—44no—
915C5×D4—44no—
916C5×D4—44no—
917C2×C4×C5—28no—
918C2×C4×C5—21no—
919C2×C4×C5—21no—
920C2×C4×C5—21no—
921C2×C4×C5—21no—
922C2×C4×C5—21no—
923C2×C4×C5—21no—
924C2×C4×C5—21no—
925C2×C4×C5—21no—
926C2×C4×C5—21no—
927C2×C4×C5—21no—
928C2×C4×C5—21no—
929C2×C4×C5—21no—
930C2×C4×C5—21no—
931C2×C4×C5—21no—
932C2×C4×C5—21no—
933C2×C4×C5—21no—
934C2×C4×C5—21no—
935C2×C4×C5—21no—
936C2×C4×C5—21no—
937C2×C4×C5—21no—
938C2×C4×C5—21no—
939C2×C4×C5—21no—
940C2×C4×C5—21no—
941C2×C4×C5—21no—
942C2×C4×C5—21no—
943C2×C4×C5—21no—
944C2×C4×C5—21no—
945C2×C4×C5—21no—
946C2×C4×C5—21no—
947C2×C4×C5—21no—
948C2×C4×C5—44no—
949C2×C4×C5—44no—
950C2×C4×C5—44no—
951C2×C4×C5—44no—
952C2×C4×C5—44no—
953C2×C4×C5—82no—
954C2×C4×C5C22×D412yes—
955C2×C4×C5C22×D412yes—
956C2×C4×C5H(5,𝔽2)12yes—
957C22⋊D5—28no—
958C22⋊D5—28no—
959C22⋊D5—28no—
960C22⋊D5—28no—
961C22⋊D5—44no—
962C22⋊D5—44no—
963C22⋊D5—44no—
964C22⋊D5—44no—
965C22⋊D5—82no—
966C22⋊D5—82no—
967C22⋊D5—82no—
968C22⋊D5—82no—
969C2×Dic5—28no—
970C2×Dic5—21no—
971C2×Dic5—21no—
972C2×Dic5—21no—
973C2×Dic5—21no—
974C2×Dic5—21no—
975C2×Dic5—21no—
976C2×Dic5—21no—
977C2×Dic5—21no—
978C2×Dic5—21no—
979C2×Dic5—21no—
980C2×Dic5—21no—
981C2×Dic5—21no—
982C2×Dic5—21no—
983C2×Dic5—21no—
984C2×Dic5—21no—
985C2×Dic5—21no—
986C2×Dic5—21no—
987C2×Dic5—21no—
988C2×Dic5—21no—
989C2×Dic5—21no—
990C2×Dic5—21no—
991C2×Dic5—21no—
992C2×Dic5—21no—
993C2×Dic5—21no—
994C2×Dic5—21no—
995C2×Dic5—21no—
996C2×Dic5—21no—
997C2×Dic5—21no—
998C2×Dic5—21no—
999C2×Dic5—21no—
1000C2×Dic5—21no—
1001C2×Dic5—21no—
1002C2×Dic5—44no—
1003C2×Dic5—44no—
1004C2×Dic5—44no—
1005C2×Dic5—82no—
1006C2×Dic5—82no—
1007C2×Dic5C22×D412yes—
1008C2×Dic5C22×D412yes—
1009C2×Dic5C22×D412yes—
1010C2×Dic5C2×#4112yes—
1011D20—82no—
1012D20—82no—
1013D20—82no—
1014D20—82no—
1015C4×D5—44no—
1016C4×D5—44no—
1017C4×D5—44no—
1018C4×D5—44no—
1019Dic10—82no—
1020C25—51no—
1021C25—51no—
1022C25C22×D511yescharacteristic
1023C22×Q8—51no—
1024C22×D4—51no—
1025C22×D4—51no—
1026C22×D4—51no—
1027C22×D4—51no—
1028C22×D4—51no—
1029C22×D4—51no—
1030C22×D4—51no—
1031C22×D4—51no—
1032C22×D4—51no—
1033C22×D4—51no—
1034C22×D4—51no—
1035C22×D4—51no—
1036C22×D4—51no—
1037C22×D4—51no—
1038C22×D4—51no—
1039C22×D4—51no—
1040C22×D4—104no—
1041C22×D4—104no—
1042C22×D4—104no—
1043C22×D4—104no—
1044C22×D4—202no—
1045C22×D4—202no—
1046C22×D4C22×D511yescharacteristic
1047C22×D4C22×D511yescharacteristic
1048C22×D4C22×D511yescharacteristic
1049C23×C4—24no—
1050C23×C4—42no—
1051C23×C4—42no—
1052C23×C4—51no—
1053C23×C4—51no—
1054C23×C4—51no—
1055C23×C4—51no—
1056C23×C4—51no—
1057C23×C4—51no—
1058C23×C4—51no—
1059C23×C4—51no—
1060C23×C4—51no—
1061C23×C4—51no—
1062C23×C4—104no—
1063C23×C4—202no—
1064C23×C4—202no—
1065C23×C4C22×D511yescharacteristic
1066C23×C4C22×D511yescharacteristic
1067C23×C4C22×D511yescharacteristic
1068C23×C4C22×D511yescharacteristic
1069C23×C4C22×D511yescharacteristic
1070C23×C4C22×D511yescharacteristic
1071C23×C4C22×D511yescharacteristic
1072#126—104no—
1073#126—104no—
1074#124—104no—
1075#124—104no—
1076#123—104no—
1077#123—104no—
1078#123—202no—
1079C22⋊Q8—104no—
1080C22⋊Q8—202no—
1081#121—104no—
1082#121—104no—
1083#121—104no—
1084#121—104no—
1085#121—202no—
1086#121—202no—
1087#121—202no—
1088#120—24no—
1089#120—104no—
1090#120—104no—
1091#120—104no—
1092#120—202no—
1093#120—202no—
1094#120—202no—
1095C4×D4—24no—
1096C4×D4—42no—
1097C4×D4—42no—
1098C4×D4—58no—
1099C4×D4—104no—
1100C4×D4—104no—
1101C4×D4—104no—
1102C4×D4—104no—
1103C4×D4—104no—
1104C4×D4—104no—
1105C4×D4—104no—
1106C2×C4⋊C4—51no—
1107C2×C4⋊C4—51no—
1108C2×C4⋊C4—51no—
1109C2×C4⋊C4—51no—
1110C2×C4⋊C4—51no—
1111C2×C4⋊C4—51no—
1112C2×C4⋊C4—51no—
1113C2×C4⋊C4—51no—
1114C2×C4⋊C4—51no—
1115C2×C4⋊C4—51no—
1116C2×C4⋊C4—51no—
1117C2×C4⋊C4—51no—
1118C2×C4⋊C4—51no—
1119C2×C4⋊C4—51no—
1120C2×C4⋊C4—51no—
1121C2×C4⋊C4—51no—
1122C2×C4⋊C4—51no—
1123C2×C4⋊C4—104no—
1124C2×C4⋊C4C22×D511yescharacteristic
1125C2×C4⋊C4C22×D511yescharacteristic
1126C2×C4⋊C4C22×D511yescharacteristic
1127C2×C22⋊C4—51no—
1128C2×C22⋊C4—51no—
1129C2×C22⋊C4—51no—
1130C2×C22⋊C4—51no—
1131C2×C22⋊C4—51no—
1132C2×C22⋊C4—51no—
1133C2×C22⋊C4—51no—
1134C2×C22⋊C4—51no—
1135C2×C22⋊C4—51no—
1136C2×C22⋊C4—51no—
1137C2×C22⋊C4—51no—
1138C2×C22⋊C4—51no—
1139C2×C22⋊C4—51no—
1140C2×C22⋊C4—51no—
1141C2×C22⋊C4—51no—
1142C2×C22⋊C4—51no—
1143C2×C22⋊C4—51no—
1144C2×C22⋊C4—51no—
1145C2×C22⋊C4—51no—
1146C2×C22⋊C4—51no—
1147C2×C22⋊C4—51no—
1148C2×C22⋊C4—51no—
1149C2×C22⋊C4—51no—
1150C2×C22⋊C4—51no—
1151C2×C22⋊C4—51no—
1152C2×C22⋊C4—51no—
1153C2×C22⋊C4—51no—
1154C2×C22⋊C4—51no—
1155C2×C22⋊C4—51no—
1156C2×C22⋊C4—51no—
1157C2×C22⋊C4—51no—
1158C2×C22⋊C4—51no—
1159C2×C22⋊C4—51no—
1160C2×C22⋊C4—51no—
1161C2×C22⋊C4—51no—
1162C2×C22⋊C4—51no—
1163C2×C22⋊C4—51no—
1164C2×C22⋊C4—51no—
1165C2×C22⋊C4—51no—
1166C2×C22⋊C4—51no—
1167C2×C22⋊C4—51no—
1168C2×C22⋊C4—51no—
1169C2×C22⋊C4—51no—
1170C2×C22⋊C4—51no—
1171C2×C22⋊C4—104no—
1172C2×C22⋊C4—104no—
1173C2×C22⋊C4—104no—
1174C2×C22⋊C4—202no—
1175C2×C22⋊C4—202no—
1176C2×C22⋊C4C22×D511yescharacteristic
1177C2×C22⋊C4C22×D511yescharacteristic
1178C2×C22⋊C4C22×D511yescharacteristic
1179C2×C22⋊C4C22×D511yescharacteristic
1180C2×C22⋊C4C22×D511yescharacteristic
1181C2×C22⋊C4C22×D511yescharacteristic
1182C2×C22⋊C4C22×D511yescharacteristic
1183C2×C22⋊C4C22×D511yescharacteristic
1184C2×C22⋊C4C22×D511yescharacteristic
1185C2×C22⋊C4C22×D511yescharacteristic
1186C2×C22⋊C4C22×D511yescharacteristic
1187C2×C22⋊C4C22×D511yescharacteristic
1188C2×C42—51no—
1189C2×C42—51no—
1190C2×C42—51no—
1191C2×C42—51no—
1192C2×C42—104no—
1193C2×C42C22×D511yescharacteristic
1194C2×C42C22×D511yescharacteristic
1195C2×C42C22×D511yescharacteristic
1196#95—51no—
1197#95—51no—
1198#95—51no—
1199#95—51no—
1200#95—51no—
1201#95—51no—
1202#95—51no—
1203#95—51no—
1204#95—51no—
1205#95—51no—
1206#95—51no—
1207#95—51no—
1208#95—51no—
1209#95—51no—
1210#95—51no—
1211#95—51no—
1212#95—51no—
1213#95—51no—
1214#95—51no—
1215#95—51no—
1216#95—51no—
1217#95—51no—
1218#95—51no—
1219#95—51no—
1220#95—51no—
1221#95—51no—
1222#95C22×D511yescharacteristic
1223#95C22×D511yescharacteristic
1224#95C22×D511yescharacteristic
1225#95C22×D511yescharacteristic
1226#95C22×D511yescharacteristic
1227#95C22×D511yescharacteristic
1228C22×C5—22no—
1229C22×C5—22no—
1230C22×C5—22no—
1231C22×C5—22no—
1232C22×C5—22no—
1233C22×C5—22no—
1234C22×C5—22no—
1235C22×C5—22no—
1236C22×C5—22no—
1237C22×C5—22no—
1238C22×C5—22no—
1239C22×C5—22no—
1240C22×C5—22no—
1241C22×C5—22no—
1242C22×C5—22no—
1243C22×C5—416no—
1244C22×C5—41no—
1245C22×C5—41no—
1246C22×C5—41no—
1247C22×C5—41no—
1248C22×C5—41no—
1249C22×C5—41no—
1250C22×C5—41no—
1251C22×C5—41no—
1252C22×C5—41no—
1253C22×C5—41no—
1254C22×C5—41no—
1255C22×C5#52514yes—
1256C22×C5#53814yescomplemented
1257C22×C5C23×D411yescharacteristic
1258C22×C5C22×#4111yescharacteristic
1259C22×C5C22×#4111yescharacteristic
1260C22×C5C2×H(5,𝔽2)11yescharacteristic
1261C22×C5C2×H(5,𝔽2)11yescharacteristic
1262C22×C5C2×H(5,𝔽2)11yescharacteristic
1263C22×C5#58511yescharacteristic
1264C2×D5—22no—
1265C2×D5—22no—
1266C2×D5—22no—
1267C2×D5—22no—
1268C2×D5—22no—
1269C2×D5—22no—
1270C2×D5—416no—
1271C2×D5—41no—
1272C2×D5—41no—
1273C2×D5—41no—
1274C2×D5—41no—
1275C2×D5—41no—
1276C2×D5—41no—
1277C2×D5—41no—
1278C2×D5—41no—
1279C2×D5—41no—
1280C2×D5—41no—
1281C2×D5—41no—
1282C2×D5—41no—
1283C2×D5—41no—
1284C2×D5—41no—
1285C2×D5—41no—
1286C2×D5—41no—
1287C2×D5—41no—
1288C2×D5—41no—
1289C2×D5—41no—
1290C2×D5—41no—
1291C2×D5—41no—
1292C2×D5—41no—
1293C2×D5—88no—
1294C4×C5—22no—
1295C4×C5—22no—
1296C4×C5—22no—
1297C4×C5—41no—
1298C4×C5—41no—
1299C4×C5—41no—
1300C4×C5—41no—
1301C4×C5—41no—
1302C4×C5—41no—
1303C4×C5—41no—
1304C4×C5—41no—
1305Dic5—22no—
1306Dic5—22no—
1307Dic5—22no—
1308Dic5—22no—
1309Dic5—41no—
1310Dic5—41no—
1311Dic5—41no—
1312Dic5—41no—
1313Dic5—41no—
1314Dic5—41no—
1315Dic5—41no—
1316Dic5—41no—
1317C24—22no—
1318C24—22no—
1319C24—22no—
1320C24—22no—
1321C24—41no—
1322C24—41no—
1323C24—51no—
1324C24—51no—
1325C24—51no—
1326C24—51no—
1327C24—102no—
1328C24—102no—
1329C24—102no—
1330C24—102no—
1331C24—102no—
1332C24—102no—
1333C24—102no—
1334C24—102no—
1335C24—201no—
1336C24—201no—
1337C24—201no—
1338C24—201no—
1339C24—201no—
1340C24—201no—
1341C24#70914yes—
1342C24C23×D511yescharacteristic
1343C24C23×D511yescharacteristic
1344C24C23×D511yescharacteristic
1345C24C23×D511yescharacteristic
1346C2×Q8—102no—
1347C2×Q8—201no—
1348C2×Q8—201no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—54no—
1359C2×D4—54no—
1360C2×D4—102no—
1361C2×D4—102no—
1362C2×D4—102no—
1363C2×D4—102no—
1364C2×D4—102no—
1365C2×D4—102no—
1366C2×D4—102no—
1367C2×D4—102no—
1368C2×D4—102no—
1369C2×D4—102no—
1370C2×D4—1032no—
1371C2×D4—102no—
1372C2×D4—102no—
1373C2×D4—102no—
1374C2×D4—102no—
1375C2×D4—102no—
1376C2×D4—102no—
1377C2×D4—102no—
1378C2×D4—102no—
1379C2×D4—102no—
1380C2×D4—102no—
1381C2×D4—102no—
1382C2×D4—102no—
1383C2×D4—102no—
1384C2×D4—102no—
1385C2×D4—102no—
1386C2×D4—102no—
1387C2×D4—201no—
1388C2×D4—201no—
1389C2×D4—201no—
1390C2×D4—201no—
1391C2×D4—201no—
1392C2×D4—201no—
1393C2×D4—201no—
1394C2×D4—201no—
1395C2×D4—201no—
1396C2×D4—201no—
1397C2×D4—201no—
1398C2×D4—201no—
1399C2×D4—201no—
1400C2×D4—201no—
1401C2×D4—201no—
1402C2×D4—201no—
1403C2×D4—201no—
1404C2×D4—201no—
1405C2×D4—201no—
1406C2×D4—201no—
1407C2×D4—2016no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4—41no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—416no—
1429C22×C4—51no—
1430C22×C4—51no—
1431C22×C4—51no—
1432C22×C4—51no—
1433C22×C4—54no—
1434C22×C4—51no—
1435C22×C4—51no—
1436C22×C4—51no—
1437C22×C4—51no—
1438C22×C4—51no—
1439C22×C4—51no—
1440C22×C4—51no—
1441C22×C4—51no—
1442C22×C4—102no—
1443C22×C4—102no—
1444C22×C4—102no—
1445C22×C4—102no—
1446C22×C4—102no—
1447C22×C4—102no—
1448C22×C4—102no—
1449C22×C4—102no—
1450C22×C4—102no—
1451C22×C4—102no—
1452C22×C4—102no—
1453C22×C4—102no—
1454C22×C4—102no—
1455C22×C4—102no—
1456C22×C4—102no—
1457C22×C4—201no—
1458C22×C4—201no—
1459C22×C4—201no—
1460C22×C4—201no—
1461C22×C4—201no—
1462C22×C4—201no—
1463C22×C4—2016no—
1464C22×C4—201no—
1465C22×C4—201no—
1466C22×C4—201no—
1467C22×C4—201no—
1468C22×C4—201no—
1469C22×C4—201no—
1470C22×C4—201no—
1471C22×C4—201no—
1472C22×C4D4×D514yes—
1473C22×C4C23×D511yescharacteristic
1474C22×C4C23×D511yescharacteristic
1475C22×C4C23×D511yescharacteristic
1476C22×C4C23×D511yescharacteristic
1477C22×C4C23×D511yescharacteristic
1478C22×C4C23×D511yescharacteristic
1479C22×C4C23×D511yescharacteristic
1480C22×C4C23×D511yescharacteristic
1481C22×C4C23×D511yescharacteristic
1482C22×C4C23×D511yescharacteristic
1483C22×C4C23×D511yescharacteristic
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—41no—
1487C4⋊C4—54no—
1488C4⋊C4—102no—
1489C4⋊C4—102no—
1490C4⋊C4—102no—
1491C4⋊C4—102no—
1492C4⋊C4—102no—
1493C4⋊C4—102no—
1494C4⋊C4—102no—
1495C4⋊C4—102no—
1496C4⋊C4—201no—
1497C4⋊C4—201no—
1498C4⋊C4—201no—
1499C4⋊C4—201no—
1500C4⋊C4—201no—
1501C4⋊C4—201no—
1502C4⋊C4—201no—
1503C4⋊C4—201no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—54no—
1517C22⋊C4—54no—
1518C22⋊C4—102no—
1519C22⋊C4—102no—
1520C22⋊C4—102no—
1521C22⋊C4—102no—
1522C22⋊C4—102no—
1523C22⋊C4—102no—
1524C22⋊C4—102no—
1525C22⋊C4—102no—
1526C22⋊C4—102no—
1527C22⋊C4—102no—
1528C22⋊C4—102no—
1529C22⋊C4—102no—
1530C22⋊C4—102no—
1531C22⋊C4—102no—
1532C22⋊C4—102no—
1533C22⋊C4—102no—
1534C22⋊C4—102no—
1535C22⋊C4—102no—
1536C22⋊C4—102no—
1537C22⋊C4—102no—
1538C22⋊C4—102no—
1539C22⋊C4—102no—
1540C22⋊C4—102no—
1541C22⋊C4—102no—
1542C22⋊C4—201no—
1543C22⋊C4—201no—
1544C22⋊C4—201no—
1545C22⋊C4—201no—
1546C22⋊C4—201no—
1547C22⋊C4—201no—
1548C22⋊C4—201no—
1549C22⋊C4—201no—
1550C22⋊C4—201no—
1551C22⋊C4—201no—
1552C22⋊C4—201no—
1553C22⋊C4—201no—
1554C22⋊C4—201no—
1555C22⋊C4—201no—
1556C22⋊C4—201no—
1557C22⋊C4—201no—
1558C22⋊C4—201no—
1559C22⋊C4—201no—
1560C42—22no—
1561C42—41no—
1562C42—41no—
1563C42—54no—
1564C42—102no—
1565C42—102no—
1566C42—102no—
1567C2×C5—24no—
1568C2×C5—24no—
1569C2×C5—42no—
1570C2×C5—81no—
1571C2×C5C2×#52511yescharacteristic
1572C2×C5C2×#53811yescharacteristic
1573C2×C5#345911yescharacteristic
1574C2×C5#348411yescharacteristic
1575C2×C5#348811yescharacteristic
1576C2×C5#351311yescharacteristic
1577C2×C5#351911yescharacteristic
1578D5—42no—
1579D5—42no—
1580D5—81no—
1581D5—81no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—28no—
1591C23—28no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—44no—
1606C23—44no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—52no—
1611C23—52no—
1612C23—108no—
1613C23—101no—
1614C23—101no—
1615C23—101no—
1616C23—101no—
1617C23—101no—
1618C23—101no—
1619C23—101no—
1620C23—101no—
1621C23—101no—
1622C23—101no—
1623C23—101no—
1624C23—101no—
1625C23—101no—
1626C23—101no—
1627C23—101no—
1628C23—101no—
1629C23—101no—
1630C23—101no—
1631C23—101no—
1632C23—101no—
1633C23—101no—
1634C23—101no—
1635C23—101no—
1636C23—101no—
1637C23—101no—
1638C23—101no—
1639C23—204no—
1640C23—204no—
1641C23—204no—
1642C23—204no—
1643C23—204no—
1644C23—204no—
1645C23—204no—
1646C23—204no—
1647C23—204no—
1648C23—402no—
1649C23—402no—
1650C23—402no—
1651C23—402no—
1652C23C2×#70912yes—
1653C23C2×#70912yes—
1654C23C2×#70912yes—
1655C23C2×D4×D512yes—
1656C23#414412yes—
1657C23D5×#4112yes—
1658C23#414912yes—
1659C23C24×D511yescharacteristic
1660Q8—402no—
1661D4—44no—
1662D4—44no—
1663D4—44no—
1664D4—108no—
1665D4—108no—
1666D4—108no—
1667D4—108no—
1668D4—204no—
1669D4—204no—
1670D4—204no—
1671D4—204no—
1672D4—402no—
1673D4—402no—
1674D4—402no—
1675D4—402no—
1676D4—402no—
1677D4—402no—
1678D4—402no—
1679D4—402no—
1680C2×C4—28no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—52no—
1717C2×C4—52no—
1718C2×C4—52no—
1719C2×C4—52no—
1720C2×C4—82no—
1721C2×C4—108no—
1722C2×C4—101no—
1723C2×C4—101no—
1724C2×C4—101no—
1725C2×C4—101no—
1726C2×C4—101no—
1727C2×C4—101no—
1728C2×C4—101no—
1729C2×C4—101no—
1730C2×C4—101no—
1731C2×C4—101no—
1732C2×C4—101no—
1733C2×C4—101no—
1734C2×C4—101no—
1735C2×C4—101no—
1736C2×C4—101no—
1737C2×C4—101no—
1738C2×C4—101no—
1739C2×C4—101no—
1740C2×C4—101no—
1741C2×C4—101no—
1742C2×C4—101no—
1743C2×C4—101no—
1744C2×C4—101no—
1745C2×C4—101no—
1746C2×C4—101no—
1747C2×C4—101no—
1748C2×C4—101no—
1749C2×C4—101no—
1750C2×C4—101no—
1751C2×C4—101no—
1752C2×C4—101no—
1753C2×C4—101no—
1754C2×C4—204no—
1755C2×C4—204no—
1756C2×C4—204no—
1757C2×C4—204no—
1758C2×C4—204no—
1759C2×C4—204no—
1760C2×C4—204no—
1761C2×C4—402no—
1762C2×C4—402no—
1763C2×C4C2×D4×D512yes—
1764C2×C4C2×D4×D512yes—
1765C2×C4#414412yes—
1766C5#3499011yescharacteristic, complemented, Sylow
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—416no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—102no—
1795C22—102no—
1796C22—102no—
1797C22—102no—
1798C22—102no—
1799C22—102no—
1800C22—2016no—
1801C22—201no—
1802C22—201no—
1803C22—201no—
1804C22—201no—
1805C22—201no—
1806C22—201no—
1807C22—201no—
1808C22—201no—
1809C22—201no—
1810C22—201no—
1811C22—201no—
1812C22—201no—
1813C22—201no—
1814C22—201no—
1815C22—201no—
1816C22—201no—
1817C22—201no—
1818C22—201no—
1819C22—201no—
1820C22—201no—
1821C22—201no—
1822C22—201no—
1823C22—408no—
1824C22#6588114yes—
1825C22#6589414yescomplemented
1826C22C22×#70911yescharacteristic
1827C22C22×D4×D511yescharacteristic
1828C22C2×#414411yescharacteristic
1829C22C2×#414411yescharacteristic
1830C22C2×D5×#4111yescharacteristic
1831C22C2×#414911yescharacteristic
1832C22#6628311yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—102no—
1845C4—102no—
1846C4—102no—
1847C4—102no—
1848C4—201no—
1849C4—201no—
1850C4—201no—
1851C4—201no—
1852C4—201no—
1853C4—201no—
1854C4—201no—
1855C4—201no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—81no—
1860C2—202no—
1861C2—202no—
1862C2—401no—
1863C2—401no—
1864C2C2×#6588111yescharacteristic
1865C2C2×#6589411yescharacteristic
1866C2#1061767711yescharacteristic
1867C2#1061782011yescharacteristic
1868C2#1061794211yescharacteristic
1869C2#1061794611yescharacteristic
1870C2#1061794711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC4×C5×#120C2
hypercenterC4×#120D5
hypocenterC5#34990
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. C22×C4×C22⋊D5C2semidirect
2. C2×#65894C2semidirect
3. C4×C5×#120C2semidirect
4. C2×#65502C2semidirect
5. #10614337C2semidirect
6. #10614337C2semidirect
7. #10614142C2semidirect
8. #10614138C2semidirect
9. #10614095C2semidirect
10. #10614087C2semidirect
11. #10614058C2semidirect
12. #10606666C2semidirect
13. #10606639C2semidirect
14. #10606624C2semidirect
15. #10606600C2semidirect
16. #10606514C2semidirect
17. #10606436C2semidirect
18. #10606387C2semidirect
19. #10606354C2semidirect
20. #10606353C2semidirect
21. #10606334C2semidirect
22. #10606318C2semidirect
23. #10606154C2semidirect
24. #10605583C2semidirect
25. #10605559C2semidirect
26. #10605325C2semidirect
27. #10605321C2semidirect
28. #10605300C2semidirect
29. #10605299C2semidirect
30. #10605234C2semidirect
31. #10605230C2semidirect
35. C23×C4×D5C22semidirect
37. C2×C4×C5×D4C22semidirect
38. C2×C4×C5×D4C22semidirect
39. C2×C4×C5×D4C22semidirect
46. C2×#4083C22semidirect
47. C2×#4083C22semidirect
48. C2×#4076C22semidirect
49. C2×#4075C22semidirect
55. C2×C4×C22⋊D5C22semidirect
56. C2×C4×C22⋊D5C22semidirect
57. C2×C4×C22⋊D5C22semidirect
58. C2×C4×C22⋊D5C22semidirect
59. C22×#685C22semidirect
60. C22×#685C22semidirect
61. C22×#685C22semidirect
62. C22×#683C22semidirect
63. C22×C4×Dic5C22semidirect
65. C2×#4044C22semidirect
66. C2×#4040C22semidirect
67. C2×#4040C22semidirect
68. C2×#4031C22semidirect
69. C2×#4030C22semidirect
70. C2×#4030C22semidirect
75. C2×#4024C22semidirect
76. C2×#4024C22semidirect
77. C2×#4022C22semidirect
78. C2×#4021C22semidirect
79. C5×#386C22semidirect
80. C5×#386C22semidirect
81. C5×#386C22semidirect
82. C5×#385C22semidirect
83. C5×#385C22semidirect
84. C5×#385C22semidirect
86. C4×C5×C22⋊C4C22semidirect
87. C4×C5×C22⋊C4C22semidirect
88. C4×C5×C22⋊C4C22semidirect
89. #65512C22semidirect
90. #65512C22semidirect
91. #65512C22semidirect
92. #65512C22semidirect
93. #65509C22semidirect
94. #65509C22semidirect
99. #65502C22semidirect
100. #65502C22semidirect
101. #65502C22semidirect
102. #65502C22semidirect
103. #65502C22semidirect
104. #65499C22semidirect
105. C2×#3963C22semidirect
106. C2×#3963C22semidirect
107. #65283C22semidirect
108. #65281C22semidirect
109. #65280C22semidirect
110. #65279C22semidirect
111. #65278C22semidirect
112. #65278C22semidirect
113. #65270C22semidirect
114. #65269C22semidirect
115. #65267C22semidirect
116. #65250C22semidirect
121. #65249C22semidirect
122. #65248C22semidirect
123. #65248C22semidirect
124. #65248C22semidirect
125. #65248C22semidirect
126. #65248C22semidirect
135. #65246C22semidirect
136. #65245C22semidirect
137. #65245C22semidirect
138. #65244C22semidirect
139. #65244C22semidirect
140. #65241C22semidirect
141. #65240C22semidirect
142. #65239C22semidirect
143. #65239C22semidirect
144. #65238C22semidirect
145. #65237C22semidirect
146. #65237C22semidirect
147. #65236C22semidirect
148. #65235C22semidirect
149. #65235C22semidirect
150. #65235C22semidirect
151. #65235C22semidirect
152. #65233C22semidirect
153. #65231C22semidirect
154. #65231C22semidirect
155. #65229C22semidirect
156. #65229C22semidirect
157. #65229C22semidirect
158. #65229C22semidirect
159. #65229C22semidirect
160. #65228C22semidirect
161. #65228C22semidirect
162. #65222C22semidirect
163. #65222C22semidirect
164. #65222C22semidirect
165. #64965C22semidirect
166. #64964C22semidirect
167. #64963C22semidirect
168. #64962C22semidirect
169. #64961C22semidirect
170. #64961C22semidirect
171. #64959C22semidirect
172. #64959C22semidirect
173. #64958C22semidirect
174. #64958C22semidirect
175. #64956C22semidirect
176. #64956C22semidirect
177. #64954C22semidirect
178. #64954C22semidirect
179. #64954C22semidirect
180. #64954C22semidirect
181. #64953C22semidirect
182. #64953C22semidirect
183. #64947C22semidirect
184. #64947C22semidirect
185. #64943C22semidirect
186. #64940C22semidirect
187. #64939C22semidirect
188. #64935C22semidirect
293. C4×C22⋊D5D4semidirect
427. C4×#120D5semidirect
592. C2×C4×D5C2×D4semidirect
657. #685C2×D4semidirect
674. #683C2×D4semidirect
678. C4×Dic5C2×D4semidirect
716. C2×C4×D4C2×D5semidirect
717. C2×C4×D4C2×D5semidirect
718. C2×C4×D4C2×D5semidirect
805. #386C2×D5semidirect
806. #386C2×D5semidirect
807. #386C2×D5semidirect
817. #385C2×D5semidirect
818. #385C2×D5semidirect
819. #385C2×D5semidirect
831. C4×C22⋊C4C2×D5semidirect
832. C4×C22⋊C4C2×D5semidirect
833. C4×C22⋊C4C2×D5semidirect
1256. C22×C5#538semidirect
1766. C5#34990semidirect
1825. C22#65894semidirect

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D52
C2×#658942
C4×C5×#1202
C2×#655022
#106143372
#106141422
#106141382
#106140952
#106140872
#106140582
#106066662
#106066392
#106066242
#106066002
#106065142
#106064362
#106063872
#106063542
#106063532
#106063342
#106063182
#106061542
#106055832
#106055592
#106053252
#106053212
#106053002
#106052992
#106052342
#106052302
#349905