Finite Group Databasebeta

← #12271962

Subgroups — #12271962

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
1C2×#65927C211yesmaximal, characteristic, complemented
2C22×#4027C211yesmaximal, characteristic, complemented
3C5×#2410C211yesmaximal, characteristic, complemented
4#10615783C211yesmaximal, characteristic, complemented
5C2×#65509C211yesmaximal, characteristic, complemented
6#10614454C211yesmaximal, characteristic, complemented
7#10614437C211yesmaximal, characteristic, complemented
8#10614429C211yesmaximal, characteristic, complemented
9#10614386C211yesmaximal, characteristic, complemented
10#10614337C211yesmaximal, characteristic, complemented
11#10614317C211yesmaximal, characteristic, complemented
12Dic5×#120C211yesmaximal, characteristic, complemented
13#10613841C211yesmaximal, characteristic, complemented
14#10608712C211yesmaximal, characteristic, complemented
15#10608705C211yesmaximal, characteristic, complemented
16#10608652C211yesmaximal, characteristic, complemented
17#10608643C211yesmaximal, characteristic, complemented
18#10608434C211yesmaximal, characteristic, complemented
19#10608432C211yesmaximal, characteristic, complemented
20#10608408C211yesmaximal, characteristic, complemented
21#10608407C211yesmaximal, characteristic, complemented
22#10606667C211yesmaximal, characteristic, complemented
23#10606601C211yesmaximal, characteristic, complemented
24#10606467C211yesmaximal, characteristic, complemented
25#10606459C211yesmaximal, characteristic, complemented
26#10606438C211yesmaximal, characteristic, complemented
27#10606397C211yesmaximal, characteristic, complemented
28#10606155C211yesmaximal, characteristic, complemented
29#10606114C211yesmaximal, characteristic, complemented
30#10605557C211yesmaximal, characteristic, complemented
31#10605552C211yesmaximal, characteristic, complemented
32C23×C5×D4C2211yescharacteristic
33C23×C22⋊D5C2211yescharacteristic
34C24×Dic5C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic, complemented
36C2×C5×#121C2211yescharacteristic
37C2×C5×#121C2211yescharacteristic
38C2×C5×#120C2211yescharacteristic
39C2×C5×#120C2211yescharacteristic, complemented
40C22×C5×C22⋊C4C2211yescharacteristic
41C2×#4099C2211yescharacteristic
42C2×#4099C2211yescharacteristic
43C22×C22⋊Dic5C2211yescharacteristic
44C22×C22⋊Dic5C2211yescharacteristic, complemented
45C22×C22⋊Dic5C2211yescharacteristic, complemented
46C2×#4085C2211yescharacteristic
47C2×#4085C2211yescharacteristic
48C2×#4085C2211yescharacteristic, complemented
49C2×#4084C2211yescharacteristic, complemented
50C2×#4084C2211yescharacteristic, complemented
51C2×#4083C2211yescharacteristic
52C2×#4083C2211yescharacteristic
53C2×#4083C2211yescharacteristic, complemented
54C2×#4082C2211yescharacteristic, complemented
55C2×#4081C2211yescharacteristic, complemented
56C2×D4×Dic5C2211yescharacteristic, complemented
57C2×D4×Dic5C2211yescharacteristic, complemented
58C2×D4×Dic5C2211yescharacteristic, complemented
59C22×#685C2211yescharacteristic, complemented
60C2×#4070C2211yescharacteristic, complemented
61C22×#683C2211yescharacteristic, complemented
62C22×C4×Dic5C2211yescharacteristic, complemented
63#65927—28no—
64C2×#4031C2211yescharacteristic, complemented
65C2×#4029C2211yescharacteristic, complemented
66C2×#4029C2211yescharacteristic, complemented
67C2×#4027—28no—
68C2×#4027C2211yescharacteristic
69C2×#4027C2211yescharacteristic
70C2×#4027C2211yescharacteristic
71C2×#4027C2211yescharacteristic
72C2×#4027C2211yescharacteristic, complemented
73C2×#4027C2211yescharacteristic, complemented
74C2×#4027C2211yescharacteristic, complemented
75C2×#4027C2211yescharacteristic, complemented
76C2×#4025C2211yescharacteristic, complemented
77C2×#4025C2211yescharacteristic, complemented
78C2×#4024C2211yescharacteristic, complemented
79C5×#394C2211yescharacteristic, complemented
80C5×#394C2211yescharacteristic, complemented
81C5×#392C2211yescharacteristic, complemented
82C5×#392C2211yescharacteristic, complemented
83C5×#386C2211yescharacteristic
84C5×#386C2211yescharacteristic
85C5×#386C2211yescharacteristic, complemented
86C5×#385C2211yescharacteristic, complemented
87C5×#379C2211yescharacteristic, complemented
88#65536C2211yescharacteristic
89#65512C2211yescharacteristic
90#65512C2211yescharacteristic
91#65512C2211yescharacteristic
92#65512C2211yescharacteristic
93#65512C2211yescharacteristic, complemented
94#65512C2211yescharacteristic, complemented
95#65512C2211yescharacteristic, complemented
96#65511C2211yescharacteristic, complemented
97#65510C2211yescharacteristic, complemented
98#65509C2211yescharacteristic
99#65509C2211yescharacteristic
100#65509C2211yescharacteristic
101#65509C2211yescharacteristic
102#65509C2211yescharacteristic
103#65509C2211yescharacteristic
104#65509C2211yescharacteristic, complemented
105#65509C2211yescharacteristic, complemented
106#65509C2211yescharacteristic, complemented
107#65509C2211yescharacteristic, complemented
108#65509C2211yescharacteristic, complemented
109#65509C2211yescharacteristic, complemented
110#65509C2211yescharacteristic, complemented
111#65509C2211yescharacteristic, complemented
112#65502C2211yescharacteristic
113#65502C2211yescharacteristic
114#65501C2211yescharacteristic, complemented
115#65499C2211yescharacteristic, complemented
116#65499C2211yescharacteristic, complemented
117C2×#3963C2211yescharacteristic, complemented
118C2×#3963C2211yescharacteristic, complemented
119#65283C2211yescharacteristic, complemented
120#65279C2211yescharacteristic, complemented
121#65276C2211yescharacteristic, complemented
122#65276C2211yescharacteristic, complemented
123#65272C2211yescharacteristic, complemented
124#65267C2211yescharacteristic, complemented
125#65266C2211yescharacteristic, complemented
126#65263C2211yescharacteristic, complemented
127#65250C2211yescharacteristic, complemented
128#65250C2211yescharacteristic, complemented
129#65248C2211yescharacteristic, complemented
130#65248C2211yescharacteristic, complemented
131#65248C2211yescharacteristic, complemented
132#65248C2211yescharacteristic, complemented
133#65247C2211yescharacteristic
134#65247C2211yescharacteristic
135#65247C2211yescharacteristic, complemented
136#65246C2211yescharacteristic, complemented
137#65246C2211yescharacteristic, complemented
138#65245C2211yescharacteristic, complemented
139#65245C2211yescharacteristic, complemented
140#65245C2211yescharacteristic, complemented
141#65245C2211yescharacteristic, complemented
142#65245C2211yescharacteristic, complemented
143#65245C2211yescharacteristic, complemented
144#65244C2211yescharacteristic, complemented
145#65241C2211yescharacteristic, complemented
146#65241C2211yescharacteristic, complemented
147#65240C2211yescharacteristic, complemented
148#65239C2211yescharacteristic, complemented
149#65239C2211yescharacteristic, complemented
150#65239C2211yescharacteristic, complemented
151#65239C2211yescharacteristic, complemented
152#65238C2211yescharacteristic, complemented
153#65238C2211yescharacteristic, complemented
154#65237C2211yescharacteristic, complemented
155#65237C2211yescharacteristic, complemented
156#65237C2211yescharacteristic, complemented
157#65236C2211yescharacteristic, complemented
158#65235C2211yescharacteristic, complemented
159#65235C2211yescharacteristic, complemented
160#65235C2211yescharacteristic, complemented
161#65234C2211yescharacteristic, complemented
162#65234C2211yescharacteristic, complemented
163#65234C2211yescharacteristic, complemented
164#65234C2211yescharacteristic, complemented
165#65234C2211yescharacteristic, complemented
166#65233C2211yescharacteristic, complemented
167#65233C2211yescharacteristic, complemented
168#65233C2211yescharacteristic, complemented
169#65231C2211yescharacteristic, complemented
170C22⋊C4×Dic5C2211yescharacteristic, complemented
171C22⋊C4×Dic5C2211yescharacteristic, complemented
172C22⋊C4×Dic5C2211yescharacteristic, complemented
173#64964C2211yescharacteristic, complemented
174#64962C2211yescharacteristic, complemented
175#64959C2211yescharacteristic, complemented
176#64958C2211yescharacteristic, complemented
177#64957C2211yescharacteristic, complemented
178#64957C2211yescharacteristic, complemented
179#64953C2211yescharacteristic, complemented
180#64953C2211yescharacteristic, complemented
181#64948C2211yescharacteristic, complemented
182#64947C2211yescharacteristic, complemented
183#64944C2211yescharacteristic, complemented
184#64944C2211yescharacteristic, complemented
185#64942C2211yescharacteristic, complemented
186#64941C2211yescharacteristic, complemented
187#64941C2211yescharacteristic, complemented
188#64940C2211yescharacteristic, complemented
189#34990—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C25×C5C2311yescharacteristic
192C24×D5C2311yescharacteristic
193C22×C5×D4—24no—
194C22×C5×D4—42no—
195C22×C5×D4—42no—
196C22×C5×D4C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C22×C5×D4C2311yescharacteristic
199C22×C5×D4C2311yescharacteristic
200C22×C5×D4C2311yescharacteristic
201C22×C5×D4C2311yescharacteristic
202C22×C5×D4C2311yescharacteristic
203C22×C5×D4C2311yescharacteristic
204C22×C5×D4C2311yescharacteristic
205C23×C4×C5C2311yescharacteristic
206C23×C4×C5C2311yescharacteristic
207C23×C4×C5C2311yescharacteristic
208C22×C22⋊D5—24no—
209C22×C22⋊D5—24no—
210C22×C22⋊D5—24no—
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
220C22×C22⋊D5C2311yescharacteristic
221C23×Dic5—24no—
222C23×Dic5—42no—
223C23×Dic5—42no—
224C23×Dic5C2311yescharacteristic
225C23×Dic5C2311yescharacteristic
226C23×Dic5C2311yescharacteristic
227C23×Dic5C2311yescharacteristic
228C23×Dic5C2311yescharacteristic
229C23×Dic5C2311yescharacteristic
230C23×Dic5C2311yescharacteristic
231C23×Dic5C2311yescharacteristic
232C23×Dic5C2311yescharacteristic
233C23×Dic5C2311yescharacteristic
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×#121—42no—
243C5×#121—42no—
244C5×#120—24no—
245C5×#120—24no—
246C2×C5×C4⋊C4C2311yescharacteristic
247C2×C5×C4⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4—24no—
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
262C2×C5×C22⋊C4C2311yescharacteristic
263C2×C5×C22⋊C4C2311yescharacteristic
264#4099—24no—
265#4099—24no—
266C2×C22⋊Dic5—24no—
267C2×C22⋊Dic5—42no—
268C2×C22⋊Dic5—42no—
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
280C2×C22⋊Dic5C2311yescharacteristic
281C2×C22⋊Dic5C2311yescharacteristic
282C2×C22⋊Dic5C2311yescharacteristic
283C2×C22⋊Dic5C2311yescharacteristic
284C2×C22⋊Dic5C2311yescharacteristic
285C2×C22⋊Dic5C2311yescharacteristic
286C2×C22⋊Dic5C2311yescharacteristic
287C2×C22⋊Dic5C2311yescharacteristic
288C2×C22⋊Dic5C2311yescharacteristic
289C2×C22⋊Dic5C2311yescharacteristic
290C2×C22⋊Dic5C2311yescharacteristic
291C2×C22⋊Dic5C2311yescharacteristic
292C2×C22⋊Dic5C2311yescharacteristic
293C2×C22⋊Dic5C2311yescharacteristic
294C2×C22⋊Dic5C2311yescharacteristic
295C2×C22⋊Dic5C2311yescharacteristic
296#4085—24no—
297#4085—24no—
298#4085—24no—
299#4084—24no—
300#4084—42no—
301#4083—42no—
302#4083—42no—
303#4083—42no—
304#4082—24no—
305#4081—24no—
306D4×Dic5—24no—
307D4×Dic5—42no—
308D4×Dic5—42no—
309C2×#685—24no—
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
330#4070—42no—
331C2×#683—24no—
332C2×#683C2311yescharacteristic
333C2×#683C2311yescharacteristic
334C2×#683C2311yescharacteristic
335C2×#683C2311yescharacteristic
336C2×#683C2311yescharacteristic
337C2×#683C2311yescharacteristic
338C2×#683C2311yescharacteristic
339C2×#683C2311yescharacteristic
340C2×#683C2311yescharacteristic
341C2×#683C2311yescharacteristic
342C2×#683C2311yescharacteristic
343C2×#683C2311yescharacteristic
344C2×C4×Dic5—24no—
345C2×C4×Dic5C2311yescharacteristic
346C2×C4×Dic5C2311yescharacteristic
347C2×C4×Dic5C2311yescharacteristic
348C2×C4×Dic5C2311yescharacteristic
349C2×C4×Dic5C2311yescharacteristic
350C2×C4×Dic5C2311yescharacteristic
351C2×C4×Dic5C2311yescharacteristic
352#4031—24no—
353#4029—24no—
354#4029—42no—
355#4027—24no—
356#4027—24no—
357#4027—24no—
358#4027—24no—
359#4027—24no—
360#4027—24no—
361#4027—24no—
362#4027D418yescomplemented
363#4025—24no—
364#4025—24no—
365#4024—24no—
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
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#2410D511yescharacteristic, complemented
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—22no—
435C24×C5—22no—
436C24×C5—41no—
437C24×C5—41no—
438C24×C5—41no—
439C24×C5—41no—
440C24×C5—41no—
441C24×C5—41no—
442C24×C5#4114yes—
443C24×C5C2411yescharacteristic
444C24×C5C2411yescharacteristic
445C24×C5C2411yescharacteristic
446C24×C5C2411yescharacteristic
447C24×C5C2411yescharacteristic
448C24×C5C2411yescharacteristic
449C23×D5—22no—
450C23×D5—22no—
451C23×D5—22no—
452C23×D5—22no—
453C23×D5—22no—
454C23×D5—41no—
455C23×D5—41no—
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—22no—
466C2×C5×D4—22no—
467C2×C5×D4—22no—
468C2×C5×D4—22no—
469C2×C5×D4—22no—
470C2×C5×D4—22no—
471C2×C5×D4—22no—
472C2×C5×D4—22no—
473C2×C5×D4—22no—
474C2×C5×D4—22no—
475C2×C5×D4—41no—
476C2×C5×D4—41no—
477C2×C5×D4—41no—
478C2×C5×D4—41no—
479C2×C5×D4—41no—
480C2×C5×D4—41no—
481C2×C5×D4—41no—
482C2×C5×D4—41no—
483C2×C5×D4—41no—
484C2×C5×D4—41no—
485C2×C5×D4—416no—
486C22×C4×C5—22no—
487C22×C4×C5—22no—
488C22×C4×C5—22no—
489C22×C4×C5—22no—
490C22×C4×C5—22no—
491C22×C4×C5—41no—
492C22×C4×C5—41no—
493C22×C4×C5—41no—
494C22×C4×C5—41no—
495C22×C4×C5C2411yescharacteristic
496C22×C4×C5C2411yescharacteristic
497C22×C4×C5C2411yescharacteristic
498C22×C4×C5C2411yescharacteristic
499C22×C4×C5C2411yescharacteristic
500C22×C4×C5C2411yescharacteristic
501C22×C4×C5C2411yescharacteristic
502C22×C4×C5C2411yescharacteristic
503C22×C4×C5C2411yescharacteristic
504C2×C22⋊D5—232no—
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—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⋊D5—41no—
533C2×C22⋊D5C2×D414yes—
534C2×C22⋊D5#4114yes—
535C22×Dic5—22no—
536C22×Dic5—22no—
537C22×Dic5—22no—
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—22no—
549C22×Dic5—22no—
550C22×Dic5—22no—
551C22×Dic5—41no—
552C22×Dic5—41no—
553C22×Dic5—41no—
554C22×Dic5—41no—
555C22×Dic5—41no—
556C22×Dic5—41no—
557C22×Dic5—41no—
558C22×Dic5—41no—
559C22×Dic5—41no—
560C22×Dic5—41no—
561C22×Dic5—41no—
562C22×Dic5—41no—
563C22×Dic5—41no—
564C22×Dic5—416no—
565C22×Dic5C2×D414yes—
566C22×Dic5C2411yescharacteristic
567C22×Dic5C2411yescharacteristic
568C22×Dic5C2411yescharacteristic
569C22×Dic5C2411yescharacteristic
570C22×Dic5C2411yescharacteristic
571C22×Dic5C2411yescharacteristic
572C22×Dic5C2411yescharacteristic
573C22×Dic5C2411yescharacteristic
574C22×Dic5C2411yescharacteristic
575C22×Dic5C2411yescharacteristic
576C22×Dic5C2411yescharacteristic
577C22×Dic5C2411yescharacteristic
578C22×Dic5C2411yescharacteristic
579C22×Dic5C2411yescharacteristic
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—41no—
597C5×C4⋊C4—41no—
598C5×C22⋊C4—22no—
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—41no—
607C5×C22⋊C4—41no—
608C5×C22⋊C4—41no—
609C5×C22⋊C4—41no—
610C5×C22⋊C4—41no—
611C5×C22⋊C4—41no—
612C5×C22⋊C4C2×D414yes—
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—22no—
622C22⋊Dic5—22no—
623C22⋊Dic5—22no—
624C22⋊Dic5—22no—
625C22⋊Dic5—22no—
626C22⋊Dic5—22no—
627C22⋊Dic5—22no—
628C22⋊Dic5—22no—
629C22⋊Dic5—22no—
630C22⋊Dic5—22no—
631C22⋊Dic5—22no—
632C22⋊Dic5—22no—
633C22⋊Dic5—41no—
634C22⋊Dic5—41no—
635C22⋊Dic5—41no—
636C22⋊Dic5—41no—
637C22⋊Dic5—41no—
638C22⋊Dic5—41no—
639C22⋊Dic5—41no—
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#685C2×D414yescomplemented
654C4⋊Dic5—22no—
655C4⋊Dic5—22no—
656C4⋊Dic5—22no—
657C4⋊Dic5—41no—
658C4⋊Dic5—41no—
659C4⋊Dic5—41no—
660#683—22no—
661#683—22no—
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×D4C2×D511yescharacteristic
681C24×C4—51no—
682C24×C4—51no—
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×#121C2×D511yescharacteristic
699C2×#121C2×D511yescharacteristic
700C2×#120—51no—
701C2×#120—51no—
702C2×#120—51no—
703C2×#120—51no—
704C2×#120—51no—
705C2×#120C2×D511yescharacteristic
706C2×#120C2×D511yescharacteristic, complemented
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⋊C4C2×D511yescharacteristic
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#394C2×D511yescharacteristic, complemented
746#394C2×D511yescharacteristic, complemented
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#392C2×D511yescharacteristic, complemented
757#392C2×D511yescharacteristic, complemented
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
806#386C2×D511yescharacteristic
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#385—51no—
818#385—51no—
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, 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—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—21no—
860C23×C5—21no—
861C23×C5—21no—
862C23×C5—21no—
863C23×C5—21no—
864C23×C5—21no—
865C23×C5—21no—
866C23×C5—21no—
867C23×C5—21no—
868C23×C5—21no—
869C23×C5—21no—
870C23×C5—21no—
871C23×C5—21no—
872C23×C5—21no—
873C23×C5—44no—
874C23×C5—44no—
875C23×C5—44no—
876C23×C5—44no—
877C23×C5—44no—
878C23×C5—44no—
879C23×C5—44no—
880C23×C5—44no—
881C23×C5—82no—
882C23×C5—82no—
883C23×C5—82no—
884C23×C5—82no—
885C23×C5C22×D412yes—
886C23×C5C2×#4112yes—
887C23×C5C2×#4112yes—
888C23×C5C2×#4112yes—
889C23×C5C2×#4112yes—
890C23×C5H(5,𝔽2)12yes—
891C23×C5H(5,𝔽2)12yes—
892C23×C5C2511yescharacteristic
893C22×D5—28no—
894C22×D5—21no—
895C22×D5—21no—
896C22×D5—21no—
897C22×D5—21no—
898C22×D5—21no—
899C22×D5—21no—
900C22×D5—21no—
901C22×D5—21no—
902C22×D5—21no—
903C22×D5—21no—
904C22×D5—21no—
905C22×D5—21no—
906C22×D5—44no—
907C22×D5—44no—
908C22×D5—44no—
909C22×D5—44no—
910C22×D5—44no—
911C22×D5—44no—
912C22×D5C22×D412yes—
913C22×D5C2×#4112yes—
914C5×D4—44no—
915C5×D4—44no—
916C5×D4—44no—
917C5×D4—44no—
918C5×D4—44no—
919C5×D4—44no—
920C5×D4—44no—
921C5×D4—82no—
922C5×D4—82no—
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×C5C22×D412yes—
952C2×C4×C5C22×D412yes—
953C22⋊D5—28no—
954C22⋊D5—28no—
955C22⋊D5—28no—
956C22⋊D5—28no—
957C22⋊D5—82no—
958C22⋊D5—82no—
959C22⋊D5—82no—
960C22⋊D5—82no—
961C22⋊D5—82no—
962C22⋊D5—82no—
963C2×Dic5—28no—
964C2×Dic5—28no—
965C2×Dic5—21no—
966C2×Dic5—21no—
967C2×Dic5—21no—
968C2×Dic5—21no—
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—21no—
1002C2×Dic5—44no—
1003C2×Dic5—44no—
1004C2×Dic5—44no—
1005C2×Dic5—44no—
1006C2×Dic5—44no—
1007C2×Dic5—82no—
1008C2×Dic5—82no—
1009C2×Dic5—82no—
1010C2×Dic5C22×D412yes—
1011C2×Dic5C22×D412yes—
1012C2×Dic5C22×D412yes—
1013C2×Dic5C2×#4112yes—
1014C2×Dic5H(5,𝔽2)12yes—
1015C4×D5—44no—
1016C4×D5—44no—
1017C4×D5—44no—
1018C4×D5—44no—
1019Dic10—82no—
1020C25—51no—
1021C25C22×D511yescharacteristic
1022C25C22×D511yescharacteristic
1023C22×Q8—51no—
1024C22×D4—24no—
1025C22×D4—42no—
1026C22×D4—42no—
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—104no—
1038C22×D4—104no—
1039C22×D4—104no—
1040C22×D4C22×D511yescharacteristic
1041C22×D4C22×D511yescharacteristic
1042C22×D4C22×D511yescharacteristic
1043C22×D4C22×D511yescharacteristic
1044C22×D4C22×D511yescharacteristic
1045C22×D4C22×D511yescharacteristic
1046C22×D4C22×D511yescharacteristic
1047C22×D4C22×D511yescharacteristic
1048C22×D4C22×D511yescharacteristic
1049C23×C4—51no—
1050C23×C4—51no—
1051C23×C4—51no—
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—104no—
1065C23×C4—202no—
1066C23×C4—202no—
1067C23×C4—202no—
1068C23×C4—202no—
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—42no—
1082#121—42no—
1083#121—104no—
1084#121—104no—
1085#121—104no—
1086#121—104no—
1087#121—202no—
1088#120—24no—
1089#120—24no—
1090#120—104no—
1091#120—104no—
1092#120—202no—
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—51no—
1123C2×C4⋊C4—51no—
1124C2×C4⋊C4—104no—
1125C2×C4⋊C4C22×D511yescharacteristic
1126C2×C4⋊C4C22×D511yescharacteristic
1127C2×C22⋊C4—24no—
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—104no—
1170C2×C22⋊C4—104no—
1171C2×C22⋊C4—202no—
1172C2×C22⋊C4—202no—
1173C2×C22⋊C4C22×D511yescharacteristic
1174C2×C22⋊C4C22×D511yescharacteristic
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#95—51no—
1221#95—51no—
1222#95—51no—
1223#95—51no—
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—41no—
1256C22×C5—41no—
1257C22×C5—41no—
1258C22×C5—41no—
1259C22×C5—41no—
1260C22×C5—41no—
1261C22×C5—41no—
1262C22×C5—41no—
1263C22×C5—41no—
1264C22×C5—41no—
1265C22×C5—41no—
1266C22×C5—41no—
1267C22×C5—41no—
1268C22×C5—41no—
1269C22×C5—88no—
1270C22×C5#52514yes—
1271C22×C5#53814yescomplemented
1272C22×C5C23×D411yescharacteristic
1273C22×C5C22×#4111yescharacteristic
1274C22×C5C22×#4111yescharacteristic
1275C22×C5C2×H(5,𝔽2)11yescharacteristic
1276C22×C5C2×H(5,𝔽2)11yescharacteristic
1277C22×C5C2×H(5,𝔽2)11yescharacteristic
1278C22×C5#58511yescharacteristic
1279C2×D5—22no—
1280C2×D5—22no—
1281C2×D5—22no—
1282C2×D5—22no—
1283C2×D5—22no—
1284C2×D5—22no—
1285C2×D5—416no—
1286C2×D5—41no—
1287C2×D5—41no—
1288C2×D5—41no—
1289C2×D5—41no—
1290C2×D5—41no—
1291C2×D5—41no—
1292C2×D5—41no—
1293C2×D5—41no—
1294C4×C5—22no—
1295C4×C5—22no—
1296C4×C5—41no—
1297C4×C5—41no—
1298C4×C5—41no—
1299C4×C5—41no—
1300C4×C5—41no—
1301C4×C5—41no—
1302C4×C5—41no—
1303Dic5—22no—
1304Dic5—22no—
1305Dic5—22no—
1306Dic5—22no—
1307Dic5—22no—
1308Dic5—41no—
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—22no—
1323C24—22no—
1324C24—41no—
1325C24—41no—
1326C24—41no—
1327C24—41no—
1328C24—41no—
1329C24—41no—
1330C24—51no—
1331C24—51no—
1332C24—102no—
1333C24—102no—
1334C24—102no—
1335C24—102no—
1336C24—102no—
1337C24—201no—
1338C24—201no—
1339C24#71114yes—
1340C24C23×D511yescharacteristic
1341C24C23×D511yescharacteristic
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—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—416no—
1377C2×D4—54no—
1378C2×D4—54no—
1379C2×D4—102no—
1380C2×D4—102no—
1381C2×D4—102no—
1382C2×D4—102no—
1383C2×D4—1032no—
1384C2×D4—102no—
1385C2×D4—102no—
1386C2×D4—102no—
1387C2×D4—102no—
1388C2×D4—102no—
1389C2×D4—102no—
1390C2×D4—102no—
1391C2×D4—102no—
1392C2×D4—102no—
1393C2×D4—102no—
1394C2×D4—102no—
1395C2×D4—102no—
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—201no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—51no—
1418C22×C4—51no—
1419C22×C4—51no—
1420C22×C4—51no—
1421C22×C4—51no—
1422C22×C4—54no—
1423C22×C4—54no—
1424C22×C4—51no—
1425C22×C4—51no—
1426C22×C4—51no—
1427C22×C4—51no—
1428C22×C4—51no—
1429C22×C4—51no—
1430C22×C4—51no—
1431C22×C4—51no—
1432C22×C4—51no—
1433C22×C4—102no—
1434C22×C4—102no—
1435C22×C4—102no—
1436C22×C4—102no—
1437C22×C4—102no—
1438C22×C4—102no—
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—201no—
1455C22×C4—201no—
1456C22×C4—201no—
1457C22×C4—201no—
1458C22×C4—201no—
1459C22×C4—201no—
1460C22×C4—2016no—
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—201no—
1470C22×C4—201no—
1471C22×C4—201no—
1472C22×C4—201no—
1473C22×C4—201no—
1474C22×C4—2016no—
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—41no—
1485C4⋊C4—41no—
1486C4⋊C4—54no—
1487C4⋊C4—102no—
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—102no—
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—41no—
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⋊C4D4×D514yes—
1560C42—54no—
1561C42—102no—
1562C42—102no—
1563C42—102no—
1564C42—102no—
1565C42—201no—
1566C42—201no—
1567C2×C5—24no—
1568C2×C5—24no—
1569C2×C5—42no—
1570C2×C5—81no—
1571C2×C5—81no—
1572C2×C5—81no—
1573C2×C5C2×#52511yescharacteristic
1574C2×C5C2×#53811yescharacteristic
1575C2×C5#345911yescharacteristic
1576C2×C5#348411yescharacteristic
1577C2×C5#348811yescharacteristic
1578C2×C5#351311yescharacteristic
1579C2×C5#351911yescharacteristic
1580D5—42no—
1581D5—42no—
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—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—44no—
1624C23—44no—
1625C23—44no—
1626C23—44no—
1627C23—52no—
1628C23—52no—
1629C23—82no—
1630C23—82no—
1631C23—82no—
1632C23—82no—
1633C23—108no—
1634C23—101no—
1635C23—101no—
1636C23—101no—
1637C23—101no—
1638C23—101no—
1639C23—101no—
1640C23—101no—
1641C23—101no—
1642C23—101no—
1643C23—101no—
1644C23—101no—
1645C23—101no—
1646C23—204no—
1647C23—204no—
1648C23—204no—
1649C23—204no—
1650C23—204no—
1651C23—204no—
1652C23C2×D4×D512yes—
1653C23C2×#71112yes—
1654C23C2×#71112yes—
1655C23C2×#71112yes—
1656C23#414412yes—
1657C23#414412yes—
1658C23D5×#4112yes—
1659C23C24×D511yescharacteristic
1660Q8—402no—
1661D4—44no—
1662D4—44no—
1663D4—44no—
1664D4—44no—
1665D4—44no—
1666D4—44no—
1667D4—44no—
1668D4—82no—
1669D4—82no—
1670D4—108no—
1671D4—108no—
1672D4—108no—
1673D4—108no—
1674D4—402no—
1675D4—402no—
1676D4—402no—
1677D4—402no—
1678D4—402no—
1679D4—402no—
1680C2×C4—21no—
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—44no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—52no—
1709C2×C4—52no—
1710C2×C4—52no—
1711C2×C4—52no—
1712C2×C4—52no—
1713C2×C4—108no—
1714C2×C4—108no—
1715C2×C4—101no—
1716C2×C4—101no—
1717C2×C4—101no—
1718C2×C4—101no—
1719C2×C4—101no—
1720C2×C4—101no—
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—204no—
1753C2×C4—204no—
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×C4—402no—
1764C2×C4C2×D4×D512yes—
1765C2×C4C2×D4×D512yes—
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—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—88no—
1809C22—102no—
1810C22—102no—
1811C22—102no—
1812C22—102no—
1813C22—102no—
1814C22—102no—
1815C22—2016no—
1816C22—201no—
1817C22—201no—
1818C22—201no—
1819C22—201no—
1820C22—201no—
1821C22—201no—
1822C22—201no—
1823C22—201no—
1824C22#6592714yescomplemented
1825C22#6594014yes—
1826C22C22×D4×D511yescharacteristic
1827C22C22×#71111yescharacteristic
1828C22C2×#414411yescharacteristic
1829C22C2×#414411yescharacteristic
1830C22C2×D5×#4111yescharacteristic
1831C22D5×H(5,𝔽2)11yescharacteristic
1832C22#6628511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—102no—
1843C4—102no—
1844C4—102no—
1845C4—102no—
1846C4—102no—
1847C4—201no—
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—81no—
1861C2—81no—
1862C2—202no—
1863C2—202no—
1864C2C2×#6592711yescharacteristic
1865C2C2×#6594011yescharacteristic
1866C2#1061819611yescharacteristic
1867C2#1061850811yescharacteristic
1868C2#1061852111yescharacteristic
1869C2#1061853611yescharacteristic
1870C2#1061854011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2410C2
hypercenter#2410D5
hypocenterC5#34990
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#65927C2semidirect
2. C22×#4027C2semidirect
3. C5×#2410C2semidirect
4. #10615783C2semidirect
5. C2×#65509C2semidirect
6. #10614454C2semidirect
7. #10614437C2semidirect
8. #10614429C2semidirect
9. #10614386C2semidirect
10. #10614337C2semidirect
11. #10614317C2semidirect
12. Dic5×#120C2semidirect
13. #10613841C2semidirect
14. #10608712C2semidirect
15. #10608705C2semidirect
16. #10608652C2semidirect
17. #10608643C2semidirect
18. #10608434C2semidirect
19. #10608432C2semidirect
20. #10608408C2semidirect
21. #10608407C2semidirect
22. #10606667C2semidirect
23. #10606601C2semidirect
24. #10606467C2semidirect
25. #10606459C2semidirect
26. #10606438C2semidirect
27. #10606397C2semidirect
28. #10606155C2semidirect
29. #10606114C2semidirect
30. #10605557C2semidirect
31. #10605552C2semidirect
35. C23×C4×D5C22semidirect
39. C2×C5×#120C22semidirect
44. C22×C22⋊Dic5C22semidirect
45. C22×C22⋊Dic5C22semidirect
48. C2×#4085C22semidirect
49. C2×#4084C22semidirect
50. C2×#4084C22semidirect
53. C2×#4083C22semidirect
54. C2×#4082C22semidirect
55. C2×#4081C22semidirect
56. C2×D4×Dic5C22semidirect
57. C2×D4×Dic5C22semidirect
58. C2×D4×Dic5C22semidirect
59. C22×#685C22semidirect
60. C2×#4070C22semidirect
61. C22×#683C22semidirect
62. C22×C4×Dic5C22semidirect
64. C2×#4031C22semidirect
65. C2×#4029C22semidirect
66. C2×#4029C22semidirect
72. C2×#4027C22semidirect
73. C2×#4027C22semidirect
74. C2×#4027C22semidirect
75. C2×#4027C22semidirect
76. C2×#4025C22semidirect
77. C2×#4025C22semidirect
78. C2×#4024C22semidirect
79. C5×#394C22semidirect
80. C5×#394C22semidirect
81. C5×#392C22semidirect
82. C5×#392C22semidirect
85. C5×#386C22semidirect
86. C5×#385C22semidirect
87. C5×#379C22semidirect
93. #65512C22semidirect
94. #65512C22semidirect
95. #65512C22semidirect
96. #65511C22semidirect
97. #65510C22semidirect
104. #65509C22semidirect
105. #65509C22semidirect
106. #65509C22semidirect
107. #65509C22semidirect
108. #65509C22semidirect
109. #65509C22semidirect
110. #65509C22semidirect
111. #65509C22semidirect
114. #65501C22semidirect
115. #65499C22semidirect
116. #65499C22semidirect
117. C2×#3963C22semidirect
118. C2×#3963C22semidirect
119. #65283C22semidirect
120. #65279C22semidirect
121. #65276C22semidirect
122. #65276C22semidirect
123. #65272C22semidirect
124. #65267C22semidirect
125. #65266C22semidirect
126. #65263C22semidirect
127. #65250C22semidirect
128. #65250C22semidirect
129. #65248C22semidirect
130. #65248C22semidirect
131. #65248C22semidirect
132. #65248C22semidirect
135. #65247C22semidirect
136. #65246C22semidirect
137. #65246C22semidirect
138. #65245C22semidirect
139. #65245C22semidirect
140. #65245C22semidirect
141. #65245C22semidirect
142. #65245C22semidirect
143. #65245C22semidirect
144. #65244C22semidirect
145. #65241C22semidirect
146. #65241C22semidirect
147. #65240C22semidirect
148. #65239C22semidirect
149. #65239C22semidirect
150. #65239C22semidirect
151. #65239C22semidirect
152. #65238C22semidirect
153. #65238C22semidirect
154. #65237C22semidirect
155. #65237C22semidirect
156. #65237C22semidirect
157. #65236C22semidirect
158. #65235C22semidirect
159. #65235C22semidirect
160. #65235C22semidirect
161. #65234C22semidirect
162. #65234C22semidirect
163. #65234C22semidirect
164. #65234C22semidirect
165. #65234C22semidirect
166. #65233C22semidirect
167. #65233C22semidirect
168. #65233C22semidirect
169. #65231C22semidirect
170. C22⋊C4×Dic5C22semidirect
171. C22⋊C4×Dic5C22semidirect
172. C22⋊C4×Dic5C22semidirect
173. #64964C22semidirect
174. #64962C22semidirect
175. #64959C22semidirect
176. #64958C22semidirect
177. #64957C22semidirect
178. #64957C22semidirect
179. #64953C22semidirect
180. #64953C22semidirect
181. #64948C22semidirect
182. #64947C22semidirect
183. #64944C22semidirect
184. #64944C22semidirect
185. #64942C22semidirect
186. #64941C22semidirect
187. #64941C22semidirect
188. #64940C22semidirect
362. #4027D4semidirect
422. #2410D5semidirect
592. C2×C4×D5C2×D4semidirect
653. #685C2×D4semidirect
671. #683C2×D4semidirect
678. C4×Dic5C2×D4semidirect
706. C2×#120C2×D5semidirect
745. #394C2×D5semidirect
746. #394C2×D5semidirect
756. #392C2×D5semidirect
757. #392C2×D5semidirect
807. #386C2×D5semidirect
819. #385C2×D5semidirect
830. #379C2×D5semidirect
1271. C22×C5#538semidirect
1766. C5#34990semidirect
1824. C22#65927semidirect

Maximal subgroups

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

subgroupindex
C2×#659272
C22×#40272
C5×#24102
#106157832
C2×#655092
#106144542
#106144372
#106144292
#106143862
#106143372
#106143172
Dic5×#1202
#106138412
#106087122
#106087052
#106086522
#106086432
#106084342
#106084322
#106084082
#106084072
#106066672
#106066012
#106064672
#106064592
#106064382
#106063972
#106061552
#106061142
#106055572
#106055522
#349905