Finite Group Databasebeta

← #12271959

Subgroups — #12271959

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×#65991C211yesmaximal, characteristic, complemented
3C5×#2849C211yesmaximal, characteristic, complemented
4#10615763C211yesmaximal, characteristic, complemented
5#10614635C211yesmaximal, characteristic, complemented
6#10614630C211yesmaximal, characteristic, complemented
7#10614627C211yesmaximal, characteristic, complemented
8#10614335C211yesmaximal, characteristic, complemented
9#10614317C211yesmaximal, characteristic, complemented
10#10606625C211yesmaximal, characteristic, complemented
11#10606619C211yesmaximal, characteristic, complemented
12#10606607C211yesmaximal, characteristic, complemented
13D5×#386C211yesmaximal, characteristic, complemented
14#10606600C211yesmaximal, characteristic, complemented
15#10606514C211yesmaximal, characteristic, complemented
16#10606467C211yesmaximal, characteristic, complemented
17#10606453C211yesmaximal, characteristic, complemented
18#10606354C211yesmaximal, characteristic, complemented
19#10606341C211yesmaximal, characteristic, complemented
20#10606325C211yesmaximal, characteristic, complemented
21#10606318C211yesmaximal, characteristic, complemented
22#10606158C211yesmaximal, characteristic, complemented
23#10606149C211yesmaximal, characteristic, complemented
24#10606144C211yesmaximal, characteristic, complemented
25#10606110C211yesmaximal, characteristic, complemented
26#10605868C211yesmaximal, characteristic, complemented
27#10605859C211yesmaximal, characteristic, complemented
28#10605851C211yesmaximal, characteristic, complemented
29#10605801C211yesmaximal, characteristic, complemented
30#10605585C211yesmaximal, characteristic, complemented
31#10605560C211yesmaximal, characteristic, complemented
32C24×C4×C5C2211yescharacteristic, complemented
33C23×C22⋊D5C2211yescharacteristic
34C22×D4×D5C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic
36C2×C5×#123C2211yescharacteristic, complemented
37C2×C5×#123C2211yescharacteristic, complemented
38C2×C5×#120C2211yescharacteristic
39C2×#4099C2211yescharacteristic
40C2×#4099C2211yescharacteristic, complemented
41C22×C22⋊Dic5C2211yescharacteristic, complemented
42C2×#4085C2211yescharacteristic
43C2×#4084C2211yescharacteristic, complemented
44C2×#4083C2211yescharacteristic
45C2×#4083C2211yescharacteristic
46C2×#4076C2211yescharacteristic
47C2×#4076C2211yescharacteristic, complemented
48C2×#4076C2211yescharacteristic, complemented
49C2×C4×C22⋊D5—28no—
50C2×C4×C22⋊D5C2211yescharacteristic
51C2×C4×C22⋊D5C2211yescharacteristic
52C2×C4×C22⋊D5C2211yescharacteristic
53C2×C4×C22⋊D5C2211yescharacteristic
54C2×C4×C22⋊D5C2211yescharacteristic, complemented
55C2×C4×C22⋊D5C2211yescharacteristic, complemented
56C2×C4×C22⋊D5C2211yescharacteristic, complemented
57C2×C4×C22⋊D5C2211yescharacteristic, complemented
58C22×#685C2211yescharacteristic
59C22×#683C2211yescharacteristic, complemented
60C22×C4×Dic5C2211yescharacteristic, complemented
61#65991—28no—
62C2×#4044C2211yescharacteristic, complemented
63C2×#4043C2211yescharacteristic, complemented
64C2×#4040C2211yescharacteristic, complemented
65C2×#4039C2211yescharacteristic, complemented
66C2×#4039C2211yescharacteristic, complemented
67C2×#4031C2211yescharacteristic, complemented
68C2×#4031C2211yescharacteristic, complemented
69C2×#4030C2211yescharacteristic
70C2×#4030C2211yescharacteristic
71C2×#4028C2211yescharacteristic
72C2×#4028C2211yescharacteristic, complemented
73C2×#4027C2211yescharacteristic, complemented
74C2×D5×C22⋊C4C2211yescharacteristic
75C2×D5×C22⋊C4C2211yescharacteristic, complemented
76C2×D5×C22⋊C4C2211yescharacteristic, complemented
77C2×#4025C2211yescharacteristic, complemented
78C2×#4024C2211yescharacteristic, complemented
79C5×#386C2211yescharacteristic
80C5×#386C2211yescharacteristic
81C5×#386C2211yescharacteristic, complemented
82C5×#386C2211yescharacteristic, complemented
83C5×#385C2211yescharacteristic, complemented
84C5×#385C2211yescharacteristic, complemented
85C5×#385C2211yescharacteristic, complemented
86C5×#385C2211yescharacteristic, complemented
87C5×#381C2211yescharacteristic, complemented
88C5×#381C2211yescharacteristic, complemented
89C5×#379C2211yescharacteristic, complemented
90#65512C2211yescharacteristic
91#65512C2211yescharacteristic
92#65512C2211yescharacteristic, complemented
93#65511C2211yescharacteristic, complemented
94#65510C2211yescharacteristic, complemented
95#65509C2211yescharacteristic
96#65509C2211yescharacteristic
97#65502C2211yescharacteristic
98#65502C2211yescharacteristic, complemented
99#65502C2211yescharacteristic, complemented
100#65502C2211yescharacteristic, complemented
101#65502C2211yescharacteristic, complemented
102#65502C2211yescharacteristic, complemented
103#65501C2211yescharacteristic, complemented
104#65501C2211yescharacteristic, complemented
105#65501C2211yescharacteristic, complemented
106#65283C2211yescharacteristic, complemented
107#65283C2211yescharacteristic, complemented
108#65281C2211yescharacteristic, complemented
109#65279C2211yescharacteristic, complemented
110#65278C2211yescharacteristic, complemented
111#65278C2211yescharacteristic, complemented
112#65278C2211yescharacteristic, complemented
113#65276C2211yescharacteristic, complemented
114#65273C2211yescharacteristic, complemented
115#65270C2211yescharacteristic, complemented
116#65267C2211yescharacteristic, complemented
117#65250C2211yescharacteristic, complemented
118#65250C2211yescharacteristic, complemented
119#65250C2211yescharacteristic, complemented
120#65249C2211yescharacteristic
121#65249C2211yescharacteristic
122#65249C2211yescharacteristic, complemented
123#65249C2211yescharacteristic, complemented
124#65249C2211yescharacteristic, complemented
125#65248C2211yescharacteristic, complemented
126#65248C2211yescharacteristic, complemented
127#65248C2211yescharacteristic, complemented
128#65247C2211yescharacteristic
129#65247C2211yescharacteristic
130#65247C2211yescharacteristic
131#65247C2211yescharacteristic, complemented
132#65246C2211yescharacteristic, complemented
133#65246C2211yescharacteristic, complemented
134#65245C2211yescharacteristic
135#65245C2211yescharacteristic
136#65245C2211yescharacteristic
137#65245C2211yescharacteristic
138#65245C2211yescharacteristic, complemented
139#65245C2211yescharacteristic, complemented
140#65245C2211yescharacteristic, complemented
141#65244C2211yescharacteristic
142#65244C2211yescharacteristic, complemented
143#65241C2211yescharacteristic, complemented
144#65241C2211yescharacteristic, complemented
145#65240C2211yescharacteristic, complemented
146#65240C2211yescharacteristic, complemented
147#65239C2211yescharacteristic, complemented
148#65237C2211yescharacteristic, complemented
149#65237C2211yescharacteristic, complemented
150#65236C2211yescharacteristic, complemented
151#65235C2211yescharacteristic, complemented
152#65233C2211yescharacteristic, complemented
153#65233C2211yescharacteristic, complemented
154#65233C2211yescharacteristic, complemented
155#65233C2211yescharacteristic, complemented
156C22⋊C4×Dic5C2211yescharacteristic, complemented
157#64966C2211yescharacteristic, complemented
158#64964C2211yescharacteristic, complemented
159#64962C2211yescharacteristic, complemented
160#64961C2211yescharacteristic, complemented
161#64961C2211yescharacteristic, complemented
162#64960C2211yescharacteristic, complemented
163#64959C2211yescharacteristic, complemented
164#64959C2211yescharacteristic, complemented
165#64958C2211yescharacteristic, complemented
166#64958C2211yescharacteristic, complemented
167#64958C2211yescharacteristic, complemented
168#64957C2211yescharacteristic, complemented
169#64957C2211yescharacteristic, complemented
170#64957C2211yescharacteristic, complemented
171#64955C2211yescharacteristic, complemented
172#64955C2211yescharacteristic, complemented
173#64954C2211yescharacteristic, complemented
174#64954C2211yescharacteristic, complemented
175#64954C2211yescharacteristic, complemented
176#64954C2211yescharacteristic, complemented
177#64954C2211yescharacteristic, complemented
178D5×#95C2211yescharacteristic, complemented
179D5×#95C2211yescharacteristic, complemented
180#64948C2211yescharacteristic, complemented
181#64947C2211yescharacteristic, complemented
182#64944C2211yescharacteristic, complemented
183#64944C2211yescharacteristic, complemented
184#64943C2211yescharacteristic, complemented
185#64941C2211yescharacteristic, 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
205C22×C22⋊D5—24no—
206C22×C22⋊D5—24no—
207C22×C22⋊D5—24no—
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C22×C22⋊D5C2311yescharacteristic
212C22×C22⋊D5C2311yescharacteristic
213C22×C22⋊D5C2311yescharacteristic
214C22×C22⋊D5C2311yescharacteristic
215C22×C22⋊D5C2311yescharacteristic
216C22×C22⋊D5C2311yescharacteristic
217C22×C22⋊D5C2311yescharacteristic
218C22×C22⋊D5C2311yescharacteristic
219C22×C22⋊D5C2311yescharacteristic
220C23×Dic5C2311yescharacteristic
221C23×Dic5C2311yescharacteristic
222C23×Dic5C2311yescharacteristic
223C2×D4×D5—24no—
224C2×D4×D5—42no—
225C2×D4×D5—42no—
226C22×D20C2311yescharacteristic
227C22×D20C2311yescharacteristic
228C22×D20C2311yescharacteristic
229C22×D20C2311yescharacteristic
230C22×C4×D5—24no—
231C22×C4×D5—42no—
232C22×C4×D5—42no—
233C22×C4×D5C2311yescharacteristic
234C22×C4×D5C2311yescharacteristic
235C22×C4×D5C2311yescharacteristic
236C22×C4×D5C2311yescharacteristic
237C22×C4×D5C2311yescharacteristic
238C22×C4×D5C2311yescharacteristic
239C22×C4×D5C2311yescharacteristic
240C22×C4×D5C2311yescharacteristic
241C22×Dic10C2311yescharacteristic
242C5×#123—24no—
243C5×#123—42no—
244C5×#120—42no—
245C2×C5×C4⋊C4C2311yescharacteristic
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×C5×C22⋊C4C2311yescharacteristic
262#4099—42no—
263#4099—42no—
264C2×C22⋊Dic5—24no—
265C2×C22⋊Dic5C2311yescharacteristic
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
278C2×C22⋊Dic5C2311yescharacteristic
279C2×C22⋊Dic5C2311yescharacteristic
280#4085—42no—
281#4084—24no—
282#4083—24no—
283#4083—24no—
284#4076—24no—
285#4076—42no—
286#4076—42no—
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⋊D5—24no—
294C4×C22⋊D5D418yescomplemented
295C2×#685—24no—
296C2×#685C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
325C2×C4⋊Dic5C2311yescharacteristic
326C2×C4⋊Dic5C2311yescharacteristic
327C2×C4⋊Dic5C2311yescharacteristic
328C2×C4⋊Dic5C2311yescharacteristic
329C2×C4⋊Dic5C2311yescharacteristic
330C2×#683—24no—
331C2×#683C2311yescharacteristic
332C2×#683C2311yescharacteristic
333C2×#683C2311yescharacteristic
334C2×#683C2311yescharacteristic
335C2×#683C2311yescharacteristic
336C2×#683C2311yescharacteristic
337C2×#683C2311yescharacteristic
338C2×#683C2311yescharacteristic
339C2×#683C2311yescharacteristic
340C2×#683C2311yescharacteristic
341C2×C4×Dic5—24no—
342C2×C4×Dic5C2311yescharacteristic
343C2×C4×Dic5C2311yescharacteristic
344C2×C4×Dic5C2311yescharacteristic
345C2×C4×Dic5C2311yescharacteristic
346C2×C4×Dic5C2311yescharacteristic
347C2×C4×Dic5C2311yescharacteristic
348C2×C4×Dic5C2311yescharacteristic
349#4044—24no—
350#4043—24no—
351#4040—24no—
352#4039—24no—
353#4039—42no—
354#4031—24no—
355#4031—24no—
356#4030—24no—
357#4030—24no—
358#4028—24no—
359#4028—24no—
360#4027—42no—
361D5×C22⋊C4—24no—
362D5×C22⋊C4—42no—
363D5×C22⋊C4—42no—
364#4025—24no—
365#4024—42no—
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
370C5×#95C2311yescharacteristic
371C5×#95C2311yescharacteristic
372C5×#95C2311yescharacteristic
373C5×#95C2311yescharacteristic
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#2849D511yescharacteristic, complemented
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×#120—51no—
428C2×#386—51no—
429C24×C5—22no—
430C24×C5—22no—
431C24×C5—22no—
432C24×C5—22no—
433C24×C5—22no—
434C24×C5—41no—
435C24×C5—41no—
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—41no—
448C23×D5—41no—
449C23×D5—41no—
450C23×D5—41no—
451C23×D5—41no—
452C23×D5—41no—
453C23×D5#4114yes—
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—41no—
464C2×C5×D4—41no—
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—41no—
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—416no—
485C22×C4×C5C2×D414yescomplemented
486C22×C4×C5C2411yescharacteristic
487C22×C4×C5C2411yescharacteristic
488C22×C4×C5C2411yescharacteristic
489C22×C4×C5C2411yescharacteristic
490C22×C4×C5C2411yescharacteristic
491C22×C4×C5C2411yescharacteristic
492C22×C4×C5C2411yescharacteristic
493C22×C4×C5C2411yescharacteristic
494C22×C4×C5C2411yescharacteristic
495C22×C4×C5C2411yescharacteristic
496C22×C4×C5C2411yescharacteristic
497C2×C22⋊D5—232no—
498C2×C22⋊D5—22no—
499C2×C22⋊D5—22no—
500C2×C22⋊D5—22no—
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—41no—
521C2×C22⋊D5—41no—
522C2×C22⋊D5—41no—
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⋊D5C2×D414yes—
533C2×C22⋊D5#4114yes—
534C22×Dic5—22no—
535C22×Dic5—22no—
536C22×Dic5—22no—
537C22×Dic5—22no—
538C22×Dic5—22no—
539C22×Dic5—22no—
540C22×Dic5—22no—
541C22×Dic5—41no—
542C22×Dic5—41no—
543C22×Dic5C2411yescharacteristic
544C22×Dic5C2411yescharacteristic
545C22×Dic5C2411yescharacteristic
546C22×Dic5C2411yescharacteristic
547C22×Dic5C2411yescharacteristic
548C22×Dic5C2411yescharacteristic
549C22×Dic5C2411yescharacteristic
550C22×Dic5C2411yescharacteristic
551C22×Dic5C2411yescharacteristic
552C22×Dic5C2411yescharacteristic
553C22×Dic5C2411yescharacteristic
554C22×Dic5C2411yescharacteristic
555D4×D5—416no—
556C2×D20—22no—
557C2×D20—22no—
558C2×D20—22no—
559C2×D20—22no—
560C2×D20—22no—
561C2×D20—22no—
562C2×D20—41no—
563C2×D20—41no—
564C2×D20—41no—
565C2×D20—41no—
566C2×D20—41no—
567C2×D20—41no—
568C2×C4×D5—22no—
569C2×C4×D5—22no—
570C2×C4×D5—22no—
571C2×C4×D5—22no—
572C2×C4×D5—22no—
573C2×C4×D5—22no—
574C2×C4×D5—22no—
575C2×C4×D5—22no—
576C2×C4×D5—22no—
577C2×C4×D5—41no—
578C2×C4×D5—41no—
579C2×C4×D5—41no—
580C2×C4×D5—41no—
581C2×C4×D5—41no—
582C2×C4×D5—41no—
583C2×C4×D5—41no—
584C2×C4×D5—41no—
585C2×C4×D5—416no—
586C2×C4×D5—41no—
587C2×C4×D5—41no—
588C2×C4×D5—41no—
589C2×C4×D5—41no—
590C2×C4×D5—41no—
591C2×C4×D5—41no—
592C2×C4×D5C2×D414yes—
593C2×Dic10—22no—
594C2×Dic10—41no—
595C2×Dic10—41no—
596C5×C4⋊C4—22no—
597C5×C4⋊C4—22no—
598C5×C4⋊C4—22no—
599C5×C4⋊C4—41no—
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—
611C5×C22⋊C4—41no—
612C5×C22⋊C4—41no—
613C22⋊Dic5—22no—
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⋊Dic5—41no—
626C22⋊Dic5—41no—
627C22⋊Dic5C2×D414yescomplemented
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—22no—
644#685—22no—
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#685C2×D414yes—
656C4⋊Dic5—22no—
657C4⋊Dic5—22no—
658C4⋊Dic5—41no—
659C4⋊Dic5—41no—
660C4⋊Dic5—41no—
661C4⋊Dic5—41no—
662#683—22no—
663#683—22no—
664#683—22no—
665#683—22no—
666#683—22no—
667#683—41no—
668#683—41no—
669#683—41no—
670#683—41no—
671#683C2×D414yescomplemented
672C4×Dic5—22no—
673C4×Dic5—22no—
674C4×Dic5—22no—
675C4×Dic5—22no—
676C4×Dic5—41no—
677C4×Dic5—41no—
678C4×Dic5C2×D414yescomplemented
679C23×D4—51no—
680C23×D4—51no—
681C24×C4—51no—
682C24×C4C2×D511yescharacteristic, complemented
683#538—108no—
684C2×#126—51no—
685C2×#126—51no—
686C2×#124—51no—
687C2×#124—51no—
688C2×#123—51no—
689C2×#123C2×D511yescharacteristic, complemented
690C2×#123C2×D511yescharacteristic, complemented
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—51no—
716C2×C4×D4—51no—
717C2×C4×D4—51no—
718C2×C4×D4—108no—
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#386C2×D511yescharacteristic
805#386C2×D511yescharacteristic
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#385C2×D511yescharacteristic, complemented
817#385C2×D511yescharacteristic, complemented
818#385C2×D511yescharacteristic, complemented
819#385C2×D511yescharacteristic, complemented
820#383—51no—
821#382—51no—
822#381C2×D511yescharacteristic, complemented
823#381C2×D511yescharacteristic, complemented
824#380—51no—
825#380—51no—
826#380—51no—
827#380—51no—
828#379—51no—
829#379—51no—
830#379C2×D511yescharacteristic, complemented
831C4×C22⋊C4—51no—
832C4×C22⋊C4—51no—
833C4×C22⋊C4—51no—
834C2×#95—51no—
835C2×#95—51no—
836C23×C5—21no—
837C23×C5—21no—
838C23×C5—21no—
839C23×C5—21no—
840C23×C5—28no—
841C23×C5—21no—
842C23×C5—21no—
843C23×C5—21no—
844C23×C5—21no—
845C23×C5—21no—
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—21no—
860C23×C5—44no—
861C23×C5—44no—
862C23×C5—44no—
863C23×C5—44no—
864C23×C5—44no—
865C23×C5—44no—
866C23×C5C22×D412yes—
867C23×C5C2×#4112yes—
868C23×C5C2×#4112yes—
869C23×C5H(5,𝔽2)12yes—
870C23×C5H(5,𝔽2)12yes—
871C23×C5C2511yescharacteristic
872C22×D5—21no—
873C22×D5—21no—
874C22×D5—21no—
875C22×D5—21no—
876C22×D5—28no—
877C22×D5—21no—
878C22×D5—21no—
879C22×D5—21no—
880C22×D5—21no—
881C22×D5—21no—
882C22×D5—21no—
883C22×D5—28no—
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—44no—
899C22×D5—44no—
900C22×D5—44no—
901C22×D5—44no—
902C22×D5—44no—
903C22×D5—44no—
904C22×D5—44no—
905C22×D5—44no—
906C22×D5—82no—
907C22×D5—82no—
908C22×D5—82no—
909C22×D5—82no—
910C22×D5C22×D412yes—
911C22×D5C2×#4112yes—
912C22×D5C2×#4112yes—
913C22×D5C2×#4112yes—
914C5×D4—44no—
915C5×D4—82no—
916C5×D4—82no—
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×C5C22×D412yes—
954C2×C4×C5C22×D412yes—
955C2×C4×C5H(5,𝔽2)12yes—
956C22⋊D5—28no—
957C22⋊D5—28no—
958C22⋊D5—28no—
959C22⋊D5—28no—
960C22⋊D5—44no—
961C22⋊D5—44no—
962C22⋊D5—44no—
963C22⋊D5—82no—
964C22⋊D5—82no—
965C22⋊D5—82no—
966C22⋊D5—82no—
967C22⋊D5—82no—
968C2×Dic5—28no—
969C2×Dic5—21no—
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—44no—
1002C2×Dic5—44no—
1003C2×Dic5C22×D412yes—
1004C2×Dic5C22×D412yes—
1005C2×Dic5C22×D412yes—
1006C2×Dic5C2×#4112yes—
1007D20—44no—
1008D20—44no—
1009D20—44no—
1010D20—82no—
1011C4×D5—44no—
1012C4×D5—44no—
1013C4×D5—44no—
1014C4×D5—44no—
1015C4×D5—44no—
1016C4×D5—82no—
1017C4×D5—82no—
1018C4×D5—82no—
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—51no—
1063C23×C4—104no—
1064C23×C4—202no—
1065C23×C4—202no—
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—24no—
1077#123—42no—
1078#123—104no—
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—42no—
1089#120—104no—
1090#120—104no—
1091#120—104no—
1092#120—104no—
1093#120—202no—
1094#120—202no—
1095C4×D4—58no—
1096C4×D4—104no—
1097C4×D4—104no—
1098C4×D4—104no—
1099C4×D4—104no—
1100C4×D4—104no—
1101C4×D4—104no—
1102C4×D4—104no—
1103C4×D4—104no—
1104C4×D4—202no—
1105C4×D4—202no—
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—104no—
1123C2×C4⋊C4C22×D511yescharacteristic
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—104no—
1171C2×C22⋊C4—104no—
1172C2×C22⋊C4—104no—
1173C2×C22⋊C4—202no—
1174C2×C22⋊C4—202no—
1175C2×C22⋊C4C22×D511yescharacteristic
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—51no—
1193C2×C42—51no—
1194C2×C42—51no—
1195C2×C42—104no—
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#95C22×D511yescharacteristic
1221#95C22×D511yescharacteristic
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—416no—
1241C22×C5—41no—
1242C22×C5—41no—
1243C22×C5—41no—
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—41no—
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—22no—
1271C2×D5—22no—
1272C2×D5—22no—
1273C2×D5—416no—
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—88no—
1293C2×D5#52514yes—
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—22no—
1322C24—41no—
1323C24—41no—
1324C24—51no—
1325C24—51no—
1326C24—54no—
1327C24—51no—
1328C24—51no—
1329C24—102no—
1330C24—102no—
1331C24—102no—
1332C24—102no—
1333C24—102no—
1334C24—102no—
1335C24—102no—
1336C24—201no—
1337C24—201no—
1338C24—201no—
1339C24—201no—
1340C24—201no—
1341C24—201no—
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—41no—
1355C2×D4—41no—
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—102no—
1371C2×D4—102no—
1372C2×D4—102no—
1373C2×D4—102no—
1374C2×D4—1032no—
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—102no—
1388C2×D4—102no—
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—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4—41no—
1425C22×C4—416no—
1426C22×C4—51no—
1427C22×C4—51no—
1428C22×C4—51no—
1429C22×C4—51no—
1430C22×C4—54no—
1431C22×C4—51no—
1432C22×C4—51no—
1433C22×C4—51no—
1434C22×C4—51no—
1435C22×C4—51no—
1436C22×C4—51no—
1437C22×C4—51no—
1438C22×C4—51no—
1439C22×C4—102no—
1440C22×C4—102no—
1441C22×C4—102no—
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—201no—
1456C22×C4—201no—
1457C22×C4—201no—
1458C22×C4—201no—
1459C22×C4—201no—
1460C22×C4—201no—
1461C22×C4—201no—
1462C22×C4—201no—
1463C22×C4—201no—
1464C22×C4—201no—
1465C22×C4—201no—
1466C22×C4—201no—
1467C22×C4—201no—
1468C22×C4—201no—
1469C22×C4—2016no—
1470C22×C4—201no—
1471C22×C4—201no—
1472C22×C4D4×D514yescomplemented
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—22no—
1487C4⋊C4—41no—
1488C4⋊C4—54no—
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—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—54no—
1518C22⋊C4—54no—
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—102no—
1543C22⋊C4—102no—
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—54no—
1561C42—102no—
1562C42—102no—
1563C42—102no—
1564C42—102no—
1565C42—201no—
1566C42—201no—
1567C2×C5—24no—
1568C2×C5—42no—
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—24no—
1579D5—42no—
1580D5—81no—
1581D5—81no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—28no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
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—21no—
1606C23—44no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—52no—
1613C23—52no—
1614C23—52no—
1615C23—52no—
1616C23—108no—
1617C23—101no—
1618C23—101no—
1619C23—101no—
1620C23—101no—
1621C23—108no—
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—101no—
1640C23—101no—
1641C23—101no—
1642C23—204no—
1643C23—204no—
1644C23—204no—
1645C23—204no—
1646C23—204no—
1647C23—204no—
1648C23—204no—
1649C23—204no—
1650C23—402no—
1651C23—402no—
1652C23—402no—
1653C23—402no—
1654C23C2×D4×D512yes—
1655C23#414412yes—
1656C23D5×#4112yes—
1657C23D5×#4112yes—
1658C23#414912yes—
1659C23C24×D511yescharacteristic
1660Q8—402no—
1661D4—44no—
1662D4—82no—
1663D4—82no—
1664D4—108no—
1665D4—108no—
1666D4—108no—
1667D4—108no—
1668D4—204no—
1669D4—204no—
1670D4—204no—
1671D4—204no—
1672D4—204no—
1673D4—204no—
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—108no—
1721C2×C4—101no—
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—204no—
1754C2×C4—204no—
1755C2×C4—204no—
1756C2×C4—204no—
1757C2×C4—204no—
1758C2×C4—204no—
1759C2×C4—204no—
1760C2×C4—402no—
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—416no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—54no—
1796C22—102no—
1797C22—102no—
1798C22—102no—
1799C22—102no—
1800C22—102no—
1801C22—102no—
1802C22—102no—
1803C22—102no—
1804C22—102no—
1805C22—2016no—
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—201no—
1824C22—408no—
1825C22#6599114yescomplemented
1826C22C22×D4×D511yescharacteristic
1827C22C2×#414411yescharacteristic
1828C22C2×#414411yescharacteristic
1829C22C2×D5×#4111yescharacteristic
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—42no—
1858C2—42no—
1859C2—81no—
1860C2—104no—
1861C2—202no—
1862C2—401no—
1863C2—401no—
1864C2#1061782011yescharacteristic
1865C2C2×#6599111yescharacteristic
1866C2#1061791411yescharacteristic
1867C2D5×#52511yescharacteristic
1868C2#1061793711yescharacteristic
1869C2#1061794211yescharacteristic
1870C2#1061794711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2849C2
hypercenter#2849D5
hypocenterC5#34990
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. C22×C4×C22⋊D5C2semidirect
2. C2×#65991C2semidirect
3. C5×#2849C2semidirect
4. #10615763C2semidirect
5. #10614635C2semidirect
6. #10614630C2semidirect
7. #10614627C2semidirect
8. #10614335C2semidirect
9. #10614317C2semidirect
10. #10606625C2semidirect
11. #10606619C2semidirect
12. #10606607C2semidirect
13. D5×#386C2semidirect
14. #10606600C2semidirect
15. #10606514C2semidirect
16. #10606467C2semidirect
17. #10606453C2semidirect
18. #10606354C2semidirect
19. #10606341C2semidirect
20. #10606325C2semidirect
21. #10606318C2semidirect
22. #10606158C2semidirect
23. #10606149C2semidirect
24. #10606144C2semidirect
25. #10606110C2semidirect
26. #10605868C2semidirect
27. #10605859C2semidirect
28. #10605851C2semidirect
29. #10605801C2semidirect
30. #10605585C2semidirect
31. #10605560C2semidirect
32. C24×C4×C5C22semidirect
36. C2×C5×#123C22semidirect
37. C2×C5×#123C22semidirect
40. C2×#4099C22semidirect
41. C22×C22⋊Dic5C22semidirect
43. C2×#4084C22semidirect
47. C2×#4076C22semidirect
48. C2×#4076C22semidirect
54. C2×C4×C22⋊D5C22semidirect
55. C2×C4×C22⋊D5C22semidirect
56. C2×C4×C22⋊D5C22semidirect
57. C2×C4×C22⋊D5C22semidirect
59. C22×#683C22semidirect
60. C22×C4×Dic5C22semidirect
62. C2×#4044C22semidirect
63. C2×#4043C22semidirect
64. C2×#4040C22semidirect
65. C2×#4039C22semidirect
66. C2×#4039C22semidirect
67. C2×#4031C22semidirect
68. C2×#4031C22semidirect
72. C2×#4028C22semidirect
73. C2×#4027C22semidirect
75. C2×D5×C22⋊C4C22semidirect
76. C2×D5×C22⋊C4C22semidirect
77. C2×#4025C22semidirect
78. C2×#4024C22semidirect
81. C5×#386C22semidirect
82. C5×#386C22semidirect
83. C5×#385C22semidirect
84. C5×#385C22semidirect
85. C5×#385C22semidirect
86. C5×#385C22semidirect
87. C5×#381C22semidirect
88. C5×#381C22semidirect
89. C5×#379C22semidirect
92. #65512C22semidirect
93. #65511C22semidirect
94. #65510C22semidirect
98. #65502C22semidirect
99. #65502C22semidirect
100. #65502C22semidirect
101. #65502C22semidirect
102. #65502C22semidirect
103. #65501C22semidirect
104. #65501C22semidirect
105. #65501C22semidirect
106. #65283C22semidirect
107. #65283C22semidirect
108. #65281C22semidirect
109. #65279C22semidirect
110. #65278C22semidirect
111. #65278C22semidirect
112. #65278C22semidirect
113. #65276C22semidirect
114. #65273C22semidirect
115. #65270C22semidirect
116. #65267C22semidirect
117. #65250C22semidirect
118. #65250C22semidirect
119. #65250C22semidirect
122. #65249C22semidirect
123. #65249C22semidirect
124. #65249C22semidirect
125. #65248C22semidirect
126. #65248C22semidirect
127. #65248C22semidirect
131. #65247C22semidirect
132. #65246C22semidirect
133. #65246C22semidirect
138. #65245C22semidirect
139. #65245C22semidirect
140. #65245C22semidirect
142. #65244C22semidirect
143. #65241C22semidirect
144. #65241C22semidirect
145. #65240C22semidirect
146. #65240C22semidirect
147. #65239C22semidirect
148. #65237C22semidirect
149. #65237C22semidirect
150. #65236C22semidirect
151. #65235C22semidirect
152. #65233C22semidirect
153. #65233C22semidirect
154. #65233C22semidirect
155. #65233C22semidirect
156. C22⋊C4×Dic5C22semidirect
157. #64966C22semidirect
158. #64964C22semidirect
159. #64962C22semidirect
160. #64961C22semidirect
161. #64961C22semidirect
162. #64960C22semidirect
163. #64959C22semidirect
164. #64959C22semidirect
165. #64958C22semidirect
166. #64958C22semidirect
167. #64958C22semidirect
168. #64957C22semidirect
169. #64957C22semidirect
170. #64957C22semidirect
171. #64955C22semidirect
172. #64955C22semidirect
173. #64954C22semidirect
174. #64954C22semidirect
175. #64954C22semidirect
176. #64954C22semidirect
177. #64954C22semidirect
178. D5×#95C22semidirect
179. D5×#95C22semidirect
180. #64948C22semidirect
181. #64947C22semidirect
182. #64944C22semidirect
183. #64944C22semidirect
184. #64943C22semidirect
185. #64941C22semidirect
186. #64940C22semidirect
187. #64939C22semidirect
188. #64935C22semidirect
294. C4×C22⋊D5D4semidirect
402. #2849D5semidirect
485. C22×C4×C5C2×D4semidirect
627. C22⋊Dic5C2×D4semidirect
671. #683C2×D4semidirect
678. C4×Dic5C2×D4semidirect
682. C24×C4C2×D5semidirect
689. C2×#123C2×D5semidirect
690. C2×#123C2×D5semidirect
806. #386C2×D5semidirect
807. #386C2×D5semidirect
816. #385C2×D5semidirect
817. #385C2×D5semidirect
818. #385C2×D5semidirect
819. #385C2×D5semidirect
822. #381C2×D5semidirect
823. #381C2×D5semidirect
830. #379C2×D5semidirect
1256. C22×C5#538semidirect
1472. C22×C4D4×D5semidirect
1766. C5#34990semidirect
1825. C22#65991semidirect

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×#659912
C5×#28492
#106157632
#106146352
#106146302
#106146272
#106143352
#106143172
#106066252
#106066192
#106066072
D5×#3862
#106066002
#106065142
#106064672
#106064532
#106063542
#106063412
#106063252
#106063182
#106061582
#106061492
#106061442
#106061102
#106058682
#106058592
#106058512
#106058012
#106055852
#106055602
#349905