Finite Group Databasebeta

← #12271978

Subgroups — #12271978

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×#65978C211yesmaximal, characteristic, complemented
2C22×#4027C211yesmaximal, characteristic, complemented
3C5×#2437C211yesmaximal, characteristic, complemented
4#10614540C211yesmaximal, characteristic, complemented
5#10614500C211yesmaximal, characteristic, complemented
6#10614496C211yesmaximal, characteristic, complemented
7#10613858C211yesmaximal, characteristic, complemented
8#10613858C211yesmaximal, characteristic, complemented
9C2×#65247C211yesmaximal, characteristic, complemented
10#10609783C211yesmaximal, characteristic, complemented
11#10609756C211yesmaximal, characteristic, complemented
12#10609066C211yesmaximal, characteristic, complemented
13#10609065C211yesmaximal, characteristic, complemented
14#10609023C211yesmaximal, characteristic, complemented
15#10609023C211yesmaximal, characteristic, complemented
16#10608542C211yesmaximal, characteristic, complemented
17#10608517C211yesmaximal, characteristic, complemented
18#10606387C211yesmaximal, characteristic, complemented
19#10606336C211yesmaximal, characteristic, complemented
20#10606336C211yesmaximal, characteristic, complemented
21#10606323C211yesmaximal, characteristic, complemented
22#10606318C211yesmaximal, characteristic, complemented
23#10606150C211yesmaximal, characteristic, complemented
24#10606149C211yesmaximal, characteristic, complemented
25#10606114C211yesmaximal, characteristic, complemented
26#10605779C211yesmaximal, characteristic, complemented
27#10605752C211yesmaximal, characteristic, complemented
28#10605641C211yesmaximal, characteristic, complemented
29#10605604C211yesmaximal, characteristic, complemented
30#10605583C211yesmaximal, characteristic, complemented
31#10605549C211yesmaximal, characteristic, complemented
32C23×C22⋊D5C2211yescharacteristic
33C23×C22⋊D5C2211yescharacteristic
34C24×Dic5C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic, complemented
36C2×C5×C22⋊Q8C2211yescharacteristic, complemented
37C2×C5×C22⋊Q8C2211yescharacteristic, complemented
38C22×C5×C22⋊C4C2211yescharacteristic
39C22×C5×C22⋊C4C2211yescharacteristic
40C2×#4099C2211yescharacteristic
41C2×#4093C2211yescharacteristic, complemented
42C2×#4093C2211yescharacteristic, complemented
43C2×#4076C2211yescharacteristic
44C2×#4076C2211yescharacteristic
45C2×#4076C2211yescharacteristic
46C2×#4076C2211yescharacteristic
47C22×#685C2211yescharacteristic, complemented
48C22×#685C2211yescharacteristic, complemented
49C22×#685C2211yescharacteristic, complemented
50C22×#683C2211yescharacteristic, complemented
51C22×C4×Dic5C2211yescharacteristic, complemented
52#65978—28no—
53C2×#4044C2211yescharacteristic, complemented
54C2×#4044C2211yescharacteristic, complemented
55C2×#4041C2211yescharacteristic, complemented
56C2×#4041C2211yescharacteristic, complemented
57C2×#4041C2211yescharacteristic, complemented
58C2×#4040C2211yescharacteristic, complemented
59C2×#4040C2211yescharacteristic, complemented
60C2×#4040C2211yescharacteristic, complemented
61C2×#4028C2211yescharacteristic
62C2×#4028C2211yescharacteristic
63C2×#4028C2211yescharacteristic
64C2×#4028C2211yescharacteristic
65C2×#4028C2211yescharacteristic, complemented
66C2×#4028C2211yescharacteristic, 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×#4027C2211yescharacteristic, complemented
77C2×#4027C2211yescharacteristic, complemented
78C2×#4027C2211yescharacteristic, complemented
79C5×#399C2211yescharacteristic, complemented
80C5×#396C2211yescharacteristic, complemented
81C5×#396C2211yescharacteristic, complemented
82C5×#393C2211yescharacteristic, complemented
83C5×#385C2211yescharacteristic, complemented
84C5×#385C2211yescharacteristic, complemented
85C5×#385C2211yescharacteristic, complemented
86C5×#385C2211yescharacteristic, complemented
87C5×#380C2211yescharacteristic, complemented
88C5×#380C2211yescharacteristic, complemented
89C5×#379C2211yescharacteristic
90#65520C2211yescharacteristic, complemented
91#65519C2211yescharacteristic, complemented
92#65502C2211yescharacteristic
93#65502C2211yescharacteristic
94#65502C2211yescharacteristic
95#65502C2211yescharacteristic
96C2×#3963C2211yescharacteristic, complemented
97C2×#3963C2211yescharacteristic, complemented
98#65283C2211yescharacteristic, complemented
99#65283C2211yescharacteristic, complemented
100#65282C2211yescharacteristic, complemented
101#65281C2211yescharacteristic, complemented
102#65280C2211yescharacteristic, complemented
103#65280C2211yescharacteristic, complemented
104#65280C2211yescharacteristic, complemented
105#65279C2211yescharacteristic, complemented
106#65279C2211yescharacteristic, complemented
107#65279C2211yescharacteristic, complemented
108#65279C2211yescharacteristic, complemented
109#65279C2211yescharacteristic, complemented
110#65279C2211yescharacteristic, complemented
111#65279C2211yescharacteristic, complemented
112#65278C2211yescharacteristic, complemented
113#65278C2211yescharacteristic, complemented
114#65278C2211yescharacteristic, complemented
115#65277C2211yescharacteristic, complemented
116#65277C2211yescharacteristic, complemented
117#65277C2211yescharacteristic, complemented
118#65276C2211yescharacteristic, complemented
119#65276C2211yescharacteristic, complemented
120#65273C2211yescharacteristic, complemented
121#65271C2211yescharacteristic, complemented
122#65270C2211yescharacteristic, complemented
123#65267C2211yescharacteristic, complemented
124#65267C2211yescharacteristic, complemented
125#65266C2211yescharacteristic, complemented
126#65250C2211yescharacteristic, complemented
127#65250C2211yescharacteristic, complemented
128#65250C2211yescharacteristic, complemented
129#65250C2211yescharacteristic, complemented
130#65249C2211yescharacteristic
131#65249C2211yescharacteristic
132#65249C2211yescharacteristic
133#65249C2211yescharacteristic
134#65249C2211yescharacteristic, complemented
135#65249C2211yescharacteristic, complemented
136#65249C2211yescharacteristic, complemented
137#65249C2211yescharacteristic, complemented
138#65247C2211yescharacteristic
139#65247C2211yescharacteristic
140#65247C2211yescharacteristic
141#65247C2211yescharacteristic
142#65247C2211yescharacteristic
143#65247C2211yescharacteristic
144#65247C2211yescharacteristic
145#65247C2211yescharacteristic
146#65247C2211yescharacteristic, complemented
147#65247C2211yescharacteristic, complemented
148#65247C2211yescharacteristic, complemented
149#65247C2211yescharacteristic, complemented
150#65247C2211yescharacteristic, complemented
151#65247C2211yescharacteristic, complemented
152#65247C2211yescharacteristic, complemented
153#65247C2211yescharacteristic, complemented
154#65247C2211yescharacteristic, complemented
155#65244C2211yescharacteristic, complemented
156#65244C2211yescharacteristic, complemented
157#65239C2211yescharacteristic, complemented
158#65239C2211yescharacteristic, complemented
159#65235C2211yescharacteristic, complemented
160#65235C2211yescharacteristic, complemented
161#65235C2211yescharacteristic, complemented
162C22⋊C4×Dic5C2211yescharacteristic, complemented
163C22⋊C4×Dic5C2211yescharacteristic, complemented
164C22⋊C4×Dic5C2211yescharacteristic, complemented
165#64964C2211yescharacteristic, complemented
166#64964C2211yescharacteristic, complemented
167#64961C2211yescharacteristic, complemented
168#64961C2211yescharacteristic, complemented
169#64960C2211yescharacteristic, complemented
170#64959C2211yescharacteristic, complemented
171#64959C2211yescharacteristic, complemented
172#64958C2211yescharacteristic, complemented
173#64958C2211yescharacteristic, complemented
174#64958C2211yescharacteristic, complemented
175#64954C2211yescharacteristic, complemented
176#64954C2211yescharacteristic, complemented
177#64954C2211yescharacteristic, complemented
178#64954C2211yescharacteristic, complemented
179#64954C2211yescharacteristic, complemented
180#64954C2211yescharacteristic, complemented
181#64954C2211yescharacteristic, complemented
182#64953C2211yescharacteristic, complemented
183#64953C2211yescharacteristic, complemented
184#64949C2211yescharacteristic, complemented
185#64944C2211yescharacteristic, complemented
186#64943C2211yescharacteristic, complemented
187#64943C2211yescharacteristic, complemented
188#64940C2211yescharacteristic, complemented
189#34990—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C24×D5C2311yescharacteristic
193C22×C5×Q8C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C22×C22⋊D5—24no—
199C22×C22⋊D5—24no—
200C22×C22⋊D5—24no—
201C22×C22⋊D5—24no—
202C22×C22⋊D5—42no—
203C22×C22⋊D5—42no—
204C22×C22⋊D5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C22×C22⋊D5C2311yescharacteristic
212C22×C22⋊D5C2311yescharacteristic
213C22×C22⋊D5C2311yescharacteristic
214C22×C22⋊D5C2311yescharacteristic
215C23×Dic5—24no—
216C23×Dic5—42no—
217C23×Dic5—42no—
218C23×Dic5C2311yescharacteristic
219C23×Dic5C2311yescharacteristic
220C23×Dic5C2311yescharacteristic
221C23×Dic5C2311yescharacteristic
222C23×Dic5C2311yescharacteristic
223C23×Dic5C2311yescharacteristic
224C23×Dic5C2311yescharacteristic
225C23×Dic5C2311yescharacteristic
226C22×D20C2311yescharacteristic
227C22×D20C2311yescharacteristic
228C22×D20C2311yescharacteristic
229C22×D20C2311yescharacteristic
230C22×D20C2311yescharacteristic
231C22×D20C2311yescharacteristic
232C22×D20C2311yescharacteristic
233C22×D20C2311yescharacteristic
234C22×C4×D5—24no—
235C22×C4×D5—42no—
236C22×C4×D5—42no—
237C22×C4×D5C2311yescharacteristic
238C22×C4×D5C2311yescharacteristic
239C22×C4×D5C2311yescharacteristic
240C22×C4×D5C2311yescharacteristic
241C22×C4×D5C2311yescharacteristic
242C5×C22⋊Q8—24no—
243C5×C22⋊Q8—42no—
244C2×C5×C4⋊C4C2311yescharacteristic
245C2×C5×C4⋊C4C2311yescharacteristic
246C2×C5×C4⋊C4C2311yescharacteristic
247C2×C5×C4⋊C4C2311yescharacteristic
248C2×C5×C4⋊C4C2311yescharacteristic
249C2×C5×C4⋊C4C2311yescharacteristic
250C2×C5×C4⋊C4C2311yescharacteristic
251C2×C5×C4⋊C4C2311yescharacteristic
252C2×C5×C4⋊C4C2311yescharacteristic
253C2×C5×C22⋊C4—24no—
254C2×C5×C22⋊C4—42no—
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
264C2×C5×C22⋊C4C2311yescharacteristic
265C2×C5×C22⋊C4C2311yescharacteristic
266C2×C5×C22⋊C4C2311yescharacteristic
267C2×C5×C22⋊C4C2311yescharacteristic
268C2×C5×C22⋊C4C2311yescharacteristic
269#4099—24no—
270C2×C22⋊Dic5C2311yescharacteristic
271C2×C22⋊Dic5C2311yescharacteristic
272C2×C22⋊Dic5C2311yescharacteristic
273#4093—24no—
274#4093—24no—
275#4076—24no—
276#4076—24no—
277#4076—42no—
278#4076—42no—
279C2×#685—24no—
280C2×#685—24no—
281C2×#685—42no—
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
322C2×C4⋊Dic5C2311yescharacteristic
323C2×C4⋊Dic5C2311yescharacteristic
324C2×C4⋊Dic5C2311yescharacteristic
325C2×#683—24no—
326C2×#683C2311yescharacteristic
327C2×#683C2311yescharacteristic
328C2×#683C2311yescharacteristic
329C2×#683C2311yescharacteristic
330C2×#683C2311yescharacteristic
331C2×#683C2311yescharacteristic
332C2×#683C2311yescharacteristic
333C2×C4×Dic5—24no—
334C2×C4×Dic5C2311yescharacteristic
335C2×C4×Dic5C2311yescharacteristic
336C2×C4×Dic5C2311yescharacteristic
337C2×C4×Dic5C2311yescharacteristic
338C2×C4×Dic5C2311yescharacteristic
339C2×C4×Dic5C2311yescharacteristic
340C2×C4×Dic5C2311yescharacteristic
341#4044—24no—
342#4044—24no—
343#4041—24no—
344#4041—24no—
345#4041—42no—
346#4040—24no—
347#4040—24no—
348#4040—42no—
349#4028—24no—
350#4028—24no—
351#4028—24no—
352#4028—42no—
353#4028—42no—
354#4028—42no—
355#4027—24no—
356#4027—24no—
357#4027—24no—
358#4027—24no—
359#4027—24no—
360#4027—24no—
361#4027—24no—
362#4027—24no—
363#4027—42no—
364#4027—42no—
365#4027D418yescomplemented
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
370C5×#95C2311yescharacteristic
371C5×#95C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392#3963C2311yescharacteristic
393#3963C2311yescharacteristic
394#3963C2311yescharacteristic
395#3963C2311yescharacteristic
396#3963C2311yescharacteristic
397#3963C2311yescharacteristic
398C2×#538—51no—
399C22×C4×D4—51no—
400#2852—51no—
401#2850—51no—
402#2849—51no—
403#2847—51no—
404#2636—51no—
405#2635—51no—
406#2631—51no—
407#2630—51no—
408#2481—51no—
409#2472—51no—
410#2467—51no—
411#2459—51no—
412#2456—51no—
413#2456—51no—
414#2450—51no—
415#2444—51no—
416#2443—51no—
417#2437D511yescharacteristic, complemented
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—41no—
434C24×C5—41no—
435C24×C5#4114yes—
436C24×C5C2411yescharacteristic
437C24×C5C2411yescharacteristic
438C24×C5C2411yescharacteristic
439C23×D5—22no—
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×D5C2411yescharacteristic
454C23×D5C2411yescharacteristic
455C23×D5C2411yescharacteristic
456C23×D5C2411yescharacteristic
457C23×D5C2411yescharacteristic
458C2×C5×Q8—22no—
459C2×C5×Q8—41no—
460C2×C5×Q8—41no—
461C22×C4×C5—22no—
462C22×C4×C5—22no—
463C22×C4×C5—22no—
464C22×C4×C5—22no—
465C22×C4×C5—22no—
466C22×C4×C5—22no—
467C22×C4×C5—41no—
468C22×C4×C5—41no—
469C22×C4×C5—41no—
470C22×C4×C5—41no—
471C22×C4×C5—41no—
472C22×C4×C5—41no—
473C22×C4×C5C2411yescharacteristic
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C22×C4×C5C2411yescharacteristic
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2411yescharacteristic
479C22×C4×C5C2411yescharacteristic
480C22×C4×C5C2411yescharacteristic
481C22×C4×C5C2411yescharacteristic
482C22×C4×C5C2411yescharacteristic
483C22×C4×C5C2411yescharacteristic
484C22×C4×C5C2411yescharacteristic
485C2×C22⋊D5—232no—
486C2×C22⋊D5—22no—
487C2×C22⋊D5—22no—
488C2×C22⋊D5—22no—
489C2×C22⋊D5—22no—
490C2×C22⋊D5—22no—
491C2×C22⋊D5—22no—
492C2×C22⋊D5—22no—
493C2×C22⋊D5—22no—
494C2×C22⋊D5—22no—
495C2×C22⋊D5—22no—
496C2×C22⋊D5—22no—
497C2×C22⋊D5—22no—
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—41no—
512C2×C22⋊D5—41no—
513C2×C22⋊D5—41no—
514C2×C22⋊D5—41no—
515C2×C22⋊D5—41no—
516C2×C22⋊D5—41no—
517C2×C22⋊D5—416no—
518C2×C22⋊D5C2×D414yes—
519C2×C22⋊D5#4114yes—
520C22×Dic5—22no—
521C22×Dic5—22no—
522C22×Dic5—22no—
523C22×Dic5—22no—
524C22×Dic5—22no—
525C22×Dic5—22no—
526C22×Dic5—22no—
527C22×Dic5—22no—
528C22×Dic5—22no—
529C22×Dic5—22no—
530C22×Dic5—22no—
531C22×Dic5—22no—
532C22×Dic5—22no—
533C22×Dic5—22no—
534C22×Dic5—41no—
535C22×Dic5—41no—
536C22×Dic5—41no—
537C22×Dic5—41no—
538C22×Dic5—41no—
539C22×Dic5—41no—
540C22×Dic5—41no—
541C22×Dic5—41no—
542C22×Dic5—41no—
543C22×Dic5—416no—
544C22×Dic5C2×D414yes—
545C22×Dic5C2411yescharacteristic
546C22×Dic5C2411yescharacteristic
547C22×Dic5C2411yescharacteristic
548C22×Dic5C2411yescharacteristic
549C22×Dic5C2411yescharacteristic
550C22×Dic5C2411yescharacteristic
551C22×Dic5C2411yescharacteristic
552C22×Dic5C2411yescharacteristic
553C22×Dic5C2411yescharacteristic
554C22×Dic5C2411yescharacteristic
555C22×Dic5C2411yescharacteristic
556C2×D20—22no—
557C2×D20—22no—
558C2×D20—22no—
559C2×D20—22no—
560C2×D20—22no—
561C2×D20—22no—
562C2×D20—22no—
563C2×D20—22no—
564C2×D20—41no—
565C2×D20—41no—
566C2×D20—41no—
567C2×D20—41no—
568C2×D20—41no—
569C2×D20—41no—
570C2×D20—41no—
571C2×D20—41no—
572C2×D20—41no—
573C2×D20—41no—
574C2×D20—41no—
575C2×D20—41no—
576C2×D20—41no—
577C2×D20—41no—
578C2×D20—41no—
579C2×D20—41no—
580C2×C4×D5—22no—
581C2×C4×D5—22no—
582C2×C4×D5—22no—
583C2×C4×D5—22no—
584C2×C4×D5—22no—
585C2×C4×D5—22no—
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×D5—416no—
593C2×C4×D5—41no—
594C2×C4×D5—41no—
595C2×C4×D5C2×D414yescomplemented
596C5×C4⋊C4—22no—
597C5×C4⋊C4—22no—
598C5×C4⋊C4—22no—
599C5×C4⋊C4—41no—
600C5×C4⋊C4—41no—
601C5×C4⋊C4—41no—
602C5×C4⋊C4—41no—
603C5×C4⋊C4—41no—
604C5×C4⋊C4—41no—
605C5×C22⋊C4—22no—
606C5×C22⋊C4—22no—
607C5×C22⋊C4—22no—
608C5×C22⋊C4—22no—
609C5×C22⋊C4—22no—
610C5×C22⋊C4—22no—
611C5×C22⋊C4—22no—
612C5×C22⋊C4—22no—
613C5×C22⋊C4—22no—
614C5×C22⋊C4—41no—
615C5×C22⋊C4—41no—
616C5×C22⋊C4—41no—
617C5×C22⋊C4—41no—
618C5×C22⋊C4C2×D414yes—
619C22⋊Dic5—22no—
620C22⋊Dic5—22no—
621C22⋊Dic5—22no—
622#685—22no—
623#685—22no—
624#685—22no—
625#685—22no—
626#685—22no—
627#685—22no—
628#685—22no—
629#685—22no—
630#685—22no—
631#685—22no—
632#685—22no—
633#685—22no—
634#685—22no—
635#685—22no—
636#685—22no—
637#685—22no—
638#685—22no—
639#685—22no—
640#685—22no—
641#685—22no—
642#685—22no—
643#685—41no—
644#685—41no—
645#685—41no—
646#685—41no—
647#685—41no—
648#685—41no—
649#685—41no—
650#685—41no—
651#685—41no—
652#685—41no—
653#685—41no—
654#685—41no—
655#685—41no—
656#685—41no—
657#685—41no—
658#685—41no—
659#685—41no—
660#685C2×D414yescomplemented
661C4⋊Dic5—22no—
662C4⋊Dic5—22no—
663C4⋊Dic5—41no—
664C4⋊Dic5—41no—
665#683—22no—
666#683—22no—
667#683—22no—
668#683—22no—
669#683—22no—
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×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⋊Q8C2×D511yescharacteristic, complemented
692C2×C22⋊Q8C2×D511yescharacteristic, complemented
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×#120—51no—
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⋊C4C2×D511yescharacteristic
724C22×C22⋊C4C2×D511yescharacteristic
725C22×C42—51no—
726#400—51no—
727#400—51no—
728#399—51no—
729#399C2×D511yescharacteristic, complemented
730#398—51no—
731#397—51no—
732#397—51no—
733#397—51no—
734#396—51no—
735#396—51no—
736#396C2×D511yescharacteristic, complemented
737#396C2×D511yescharacteristic, complemented
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#393C2×D511yescharacteristic, complemented
749#392—51no—
750#392—51no—
751#392—51no—
752#392—51no—
753#392—51no—
754#392—51no—
755#392—51no—
756#392—51no—
757#392—51no—
758#391—51no—
759#390—51no—
760#390—51no—
761#390—51no—
762#388—51no—
763#388—51no—
764#388—51no—
765#388—51no—
766#388—51no—
767#388—51no—
768#388—51no—
769#388—51no—
770#388—51no—
771#388—51no—
772#388—51no—
773#388—51no—
774#387—51no—
775#387—51no—
776#387—51no—
777#387—51no—
778#387—51no—
779#387—51no—
780#386—51no—
781#386—51no—
782#386—51no—
783#386—51no—
784#386—51no—
785#386—51no—
786#386—51no—
787#386—51no—
788#386—51no—
789#386—51no—
790#386—51no—
791#386—51no—
792#386—51no—
793#386—51no—
794#386—51no—
795#386—51no—
796#386—51no—
797#386—51no—
798#386—51no—
799#386—51no—
800#386—51no—
801#386—51no—
802#386—51no—
803#386—51no—
804#386—51no—
805#386—51no—
806#386—51no—
807#386—51no—
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#381—51no—
823#381—51no—
824#380—51no—
825#380—51no—
826#380C2×D511yescharacteristic, complemented
827#380C2×D511yescharacteristic, complemented
828#379—51no—
829#379—51no—
830#379C2×D511yescharacteristic
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—44no—
853C23×C5—44no—
854C23×C5—44no—
855C23×C5—44no—
856C23×C5—44no—
857C23×C5C22×D412yes—
858C23×C5C2×#4112yes—
859C23×C5C2×#4112yes—
860C23×C5C2×#4112yes—
861C23×C5C2×#4112yes—
862C23×C5H(5,𝔽2)12yes—
863C23×C5H(5,𝔽2)12yes—
864C23×C5C2511yescharacteristic
865C22×D5—28no—
866C22×D5—21no—
867C22×D5—21no—
868C22×D5—21no—
869C22×D5—21no—
870C22×D5—21no—
871C22×D5—21no—
872C22×D5—21no—
873C22×D5—21no—
874C22×D5—21no—
875C22×D5—21no—
876C22×D5—21no—
877C22×D5—21no—
878C22×D5—21no—
879C22×D5—21no—
880C22×D5—21no—
881C22×D5—21no—
882C22×D5—21no—
883C22×D5—21no—
884C22×D5—21no—
885C22×D5—21no—
886C22×D5—21no—
887C22×D5—21no—
888C22×D5—21no—
889C22×D5—21no—
890C22×D5—21no—
891C22×D5—21no—
892C22×D5—21no—
893C22×D5—21no—
894C22×D5—21no—
895C22×D5—21no—
896C22×D5—21no—
897C22×D5—21no—
898C22×D5—21no—
899C22×D5—44no—
900C22×D5—44no—
901C22×D5—44no—
902C22×D5—44no—
903C22×D5—44no—
904C22×D5—44no—
905C22×D5—44no—
906C22×D5—44no—
907C22×D5—44no—
908C22×D5—82no—
909C22×D5—82no—
910C22×D5—82no—
911C22×D5—82no—
912C22×D5C22×D412yes—
913C22×D5C2×#4112yes—
914C5×Q8—82no—
915C2×C4×C5—21no—
916C2×C4×C5—21no—
917C2×C4×C5—21no—
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—21no—
949C2×C4×C5—44no—
950C2×C4×C5—44no—
951C2×C4×C5—82no—
952C2×C4×C5—82no—
953C2×C4×C5C22×D412yes—
954C2×C4×C5C22×D412yes—
955C22⋊D5—28no—
956C22⋊D5—28no—
957C22⋊D5—28no—
958C22⋊D5—28no—
959C22⋊D5—44no—
960C22⋊D5—44no—
961C22⋊D5—44no—
962C22⋊D5—44no—
963C22⋊D5—44no—
964C22⋊D5—44no—
965C22⋊D5—44no—
966C2×Dic5—28no—
967C2×Dic5—28no—
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—44no—
997C2×Dic5—44no—
998C2×Dic5—44no—
999C2×Dic5—44no—
1000C2×Dic5—44no—
1001C2×Dic5—44no—
1002C2×Dic5C22×D412yes—
1003C2×Dic5C22×D412yes—
1004C2×Dic5C22×D412yes—
1005C2×Dic5C2×#4112yes—
1006C2×Dic5H(5,𝔽2)12yes—
1007D20—82no—
1008D20—82no—
1009D20—82no—
1010D20—82no—
1011D20—82no—
1012D20—82no—
1013D20—82no—
1014D20—82no—
1015C4×D5—44no—
1016C4×D5—44no—
1017C4×D5—44no—
1018C4×D5—44no—
1019C4×D5—82no—
1020C25—51no—
1021C25—51no—
1022C25C22×D511yescharacteristic
1023C22×Q8C22×D511yescharacteristic
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—51no—
1041C22×D4—51no—
1042C22×D4—51no—
1043C22×D4—104no—
1044C22×D4—104no—
1045C22×D4—104no—
1046C22×D4—104no—
1047C22×D4—202no—
1048C22×D4—202no—
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—104no—
1063C23×C4—104no—
1064C23×C4—202no—
1065C23×C4—202no—
1066C23×C4—202no—
1067C23×C4—202no—
1068C23×C4C22×D511yescharacteristic
1069C23×C4C22×D511yescharacteristic
1070C23×C4C22×D511yescharacteristic
1071C23×C4C22×D511yescharacteristic
1072#126—104no—
1073#126—104no—
1074#124—104no—
1075#124—104no—
1076#123—104no—
1077#123—104no—
1078#123—202no—
1079C22⋊Q8—24no—
1080C22⋊Q8—42no—
1081#121—104no—
1082#121—104no—
1083#121—104no—
1084#121—104no—
1085#121—202no—
1086#121—202no—
1087#121—202no—
1088#120—104no—
1089#120—104no—
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—104no—
1118C2×C4⋊C4C22×D511yescharacteristic
1119C2×C4⋊C4C22×D511yescharacteristic
1120C2×C4⋊C4C22×D511yescharacteristic
1121C2×C4⋊C4C22×D511yescharacteristic
1122C2×C4⋊C4C22×D511yescharacteristic
1123C2×C4⋊C4C22×D511yescharacteristic
1124C2×C4⋊C4C22×D511yescharacteristic
1125C2×C4⋊C4C22×D511yescharacteristic
1126C2×C4⋊C4C22×D511yescharacteristic
1127C2×C22⋊C4—24no—
1128C2×C22⋊C4—42no—
1129C2×C22⋊C4—51no—
1130C2×C22⋊C4—51no—
1131C2×C22⋊C4—51no—
1132C2×C22⋊C4—51no—
1133C2×C22⋊C4—51no—
1134C2×C22⋊C4—51no—
1135C2×C22⋊C4—51no—
1136C2×C22⋊C4—51no—
1137C2×C22⋊C4—51no—
1138C2×C22⋊C4—51no—
1139C2×C22⋊C4—51no—
1140C2×C22⋊C4—51no—
1141C2×C22⋊C4—51no—
1142C2×C22⋊C4—51no—
1143C2×C22⋊C4—51no—
1144C2×C22⋊C4—51no—
1145C2×C22⋊C4—51no—
1146C2×C22⋊C4—51no—
1147C2×C22⋊C4—51no—
1148C2×C22⋊C4—51no—
1149C2×C22⋊C4—51no—
1150C2×C22⋊C4—51no—
1151C2×C22⋊C4—51no—
1152C2×C22⋊C4—51no—
1153C2×C22⋊C4—51no—
1154C2×C22⋊C4—51no—
1155C2×C22⋊C4—51no—
1156C2×C22⋊C4—51no—
1157C2×C22⋊C4—51no—
1158C2×C22⋊C4—51no—
1159C2×C22⋊C4—51no—
1160C2×C22⋊C4—51no—
1161C2×C22⋊C4—51no—
1162C2×C22⋊C4—51no—
1163C2×C22⋊C4—51no—
1164C2×C22⋊C4—51no—
1165C2×C22⋊C4—51no—
1166C2×C22⋊C4—51no—
1167C2×C22⋊C4—51no—
1168C2×C22⋊C4—51no—
1169C2×C22⋊C4—51no—
1170C2×C22⋊C4—51no—
1171C2×C22⋊C4—104no—
1172C2×C22⋊C4—104no—
1173C2×C22⋊C4—202no—
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#95C22×D511yescharacteristic
1223#95C22×D511yescharacteristic
1224#95C22×D511yescharacteristic
1225#95C22×D511yescharacteristic
1226#95C22×D511yescharacteristic
1227#95C22×D511yescharacteristic
1228C22×C5—22no—
1229C22×C5—22no—
1230C22×C5—22no—
1231C22×C5—22no—
1232C22×C5—22no—
1233C22×C5—22no—
1234C22×C5—22no—
1235C22×C5—22no—
1236C22×C5—22no—
1237C22×C5—22no—
1238C22×C5—22no—
1239C22×C5—22no—
1240C22×C5—22no—
1241C22×C5—22no—
1242C22×C5—22no—
1243C22×C5—416no—
1244C22×C5—41no—
1245C22×C5—41no—
1246C22×C5—41no—
1247C22×C5—41no—
1248C22×C5#52514yes—
1249C22×C5#53814yescomplemented
1250C22×C5C23×D411yescharacteristic
1251C22×C5C22×#4111yescharacteristic
1252C22×C5C22×#4111yescharacteristic
1253C22×C5C2×H(5,𝔽2)11yescharacteristic
1254C22×C5C2×H(5,𝔽2)11yescharacteristic
1255C22×C5C2×H(5,𝔽2)11yescharacteristic
1256C22×C5#58511yescharacteristic
1257C2×D5—22no—
1258C2×D5—22no—
1259C2×D5—22no—
1260C2×D5—22no—
1261C2×D5—22no—
1262C2×D5—22no—
1263C2×D5—416no—
1264C2×D5—41no—
1265C2×D5—41no—
1266C2×D5—41no—
1267C2×D5—41no—
1268C2×D5—41no—
1269C2×D5—41no—
1270C2×D5—41no—
1271C2×D5—41no—
1272C2×D5—41no—
1273C2×D5—41no—
1274C2×D5—41no—
1275C2×D5—41no—
1276C2×D5—41no—
1277C2×D5—41no—
1278C2×D5—41no—
1279C2×D5—41no—
1280C2×D5—41no—
1281C2×D5—41no—
1282C2×D5—41no—
1283C2×D5—41no—
1284C2×D5—41no—
1285C2×D5—41no—
1286C2×D5—41no—
1287C2×D5—41no—
1288C2×D5—41no—
1289C2×D5—41no—
1290C2×D5—41no—
1291C2×D5—41no—
1292C2×D5—41no—
1293C2×D5—88no—
1294C4×C5—22no—
1295C4×C5—22no—
1296C4×C5—41no—
1297C4×C5—41no—
1298C4×C5—41no—
1299C4×C5—41no—
1300C4×C5—41no—
1301C4×C5—41no—
1302C4×C5—41no—
1303C4×C5—41no—
1304C4×C5—41no—
1305C4×C5—41no—
1306Dic5—22no—
1307Dic5—22no—
1308Dic5—22no—
1309Dic5—22no—
1310Dic5—22no—
1311Dic5—41no—
1312Dic5—41no—
1313Dic5—41no—
1314Dic5—41no—
1315Dic5—41no—
1316Dic5—41no—
1317C24—22no—
1318C24—22no—
1319C24—22no—
1320C24—22no—
1321C24—41no—
1322C24—41no—
1323C24—51no—
1324C24—51no—
1325C24—51no—
1326C24—51no—
1327C24—51no—
1328C24—102no—
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—
1342C24#71314yes—
1343C24C23×D511yescharacteristic
1344C24C23×D511yescharacteristic
1345C24C23×D511yescharacteristic
1346C2×Q8—22no—
1347C2×Q8—41no—
1348C2×Q8—41no—
1349C2×D4—54no—
1350C2×D4—54no—
1351C2×D4—102no—
1352C2×D4—102no—
1353C2×D4—102no—
1354C2×D4—102no—
1355C2×D4—102no—
1356C2×D4—102no—
1357C2×D4—102no—
1358C2×D4—102no—
1359C2×D4—102no—
1360C2×D4—102no—
1361C2×D4—1032no—
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—102no—
1375C2×D4—102no—
1376C2×D4—102no—
1377C2×D4—102no—
1378C2×D4—102no—
1379C2×D4—102no—
1380C2×D4—102no—
1381C2×D4—102no—
1382C2×D4—102no—
1383C2×D4—102no—
1384C2×D4—102no—
1385C2×D4—201no—
1386C2×D4—201no—
1387C2×D4—201no—
1388C2×D4—201no—
1389C2×D4—201no—
1390C2×D4—201no—
1391C2×D4—201no—
1392C2×D4—201no—
1393C2×D4—201no—
1394C2×D4—201no—
1395C2×D4—201no—
1396C2×D4—201no—
1397C2×D4—201no—
1398C2×D4—201no—
1399C2×D4—201no—
1400C2×D4—201no—
1401C2×D4—201no—
1402C2×D4—201no—
1403C2×D4—201no—
1404C2×D4—201no—
1405C2×D4—201no—
1406C2×D4—201no—
1407C2×D4—2016no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—51no—
1421C22×C4—51no—
1422C22×C4—51no—
1423C22×C4—51no—
1424C22×C4—51no—
1425C22×C4—54no—
1426C22×C4—54no—
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—201no—
1454C22×C4—201no—
1455C22×C4—201no—
1456C22×C4—201no—
1457C22×C4—201no—
1458C22×C4—201no—
1459C22×C4—201no—
1460C22×C4—201no—
1461C22×C4—2016no—
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—2016no—
1472C22×C4C23×D511yescharacteristic
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—41no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—41no—
1492C4⋊C4—41no—
1493C4⋊C4—54no—
1494C4⋊C4—102no—
1495C4⋊C4—102no—
1496C4⋊C4—102no—
1497C4⋊C4—102no—
1498C4⋊C4—102no—
1499C4⋊C4—102no—
1500C4⋊C4—102no—
1501C4⋊C4—201no—
1502C4⋊C4—201no—
1503C4⋊C4—201no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—54no—
1518C22⋊C4—102no—
1519C22⋊C4—102no—
1520C22⋊C4—102no—
1521C22⋊C4—102no—
1522C22⋊C4—102no—
1523C22⋊C4—102no—
1524C22⋊C4—102no—
1525C22⋊C4—102no—
1526C22⋊C4—102no—
1527C22⋊C4—102no—
1528C22⋊C4—102no—
1529C22⋊C4—102no—
1530C22⋊C4—102no—
1531C22⋊C4—102no—
1532C22⋊C4—102no—
1533C22⋊C4—102no—
1534C22⋊C4—102no—
1535C22⋊C4—102no—
1536C22⋊C4—102no—
1537C22⋊C4—102no—
1538C22⋊C4—102no—
1539C22⋊C4—102no—
1540C22⋊C4—102no—
1541C22⋊C4—102no—
1542C22⋊C4—201no—
1543C22⋊C4—201no—
1544C22⋊C4—201no—
1545C22⋊C4—201no—
1546C22⋊C4—201no—
1547C22⋊C4—201no—
1548C22⋊C4—201no—
1549C22⋊C4—201no—
1550C22⋊C4—201no—
1551C22⋊C4—201no—
1552C22⋊C4—201no—
1553C22⋊C4—201no—
1554C22⋊C4—201no—
1555C22⋊C4—201no—
1556C22⋊C4—201no—
1557C22⋊C4—201no—
1558C22⋊C4—201no—
1559C22⋊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×C5C2×#52511yescharacteristic
1571C2×C5C2×#53811yescharacteristic
1572C2×C5#345911yescharacteristic
1573C2×C5#348411yescharacteristic
1574C2×C5#348811yescharacteristic
1575C2×C5#351311yescharacteristic
1576C2×C5#351911yescharacteristic
1577D5—42no—
1578D5—42no—
1579D5—81no—
1580D5—81no—
1581D5—81no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—28no—
1591C23—28no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—44no—
1599C23—44no—
1600C23—44no—
1601C23—44no—
1602C23—44no—
1603C23—52no—
1604C23—52no—
1605C23—108no—
1606C23—101no—
1607C23—101no—
1608C23—101no—
1609C23—101no—
1610C23—101no—
1611C23—101no—
1612C23—101no—
1613C23—101no—
1614C23—101no—
1615C23—101no—
1616C23—101no—
1617C23—101no—
1618C23—101no—
1619C23—101no—
1620C23—101no—
1621C23—101no—
1622C23—101no—
1623C23—101no—
1624C23—101no—
1625C23—101no—
1626C23—101no—
1627C23—101no—
1628C23—101no—
1629C23—101no—
1630C23—101no—
1631C23—101no—
1632C23—101no—
1633C23—101no—
1634C23—101no—
1635C23—101no—
1636C23—101no—
1637C23—101no—
1638C23—101no—
1639C23—204no—
1640C23—204no—
1641C23—204no—
1642C23—204no—
1643C23—204no—
1644C23—204no—
1645C23—204no—
1646C23—204no—
1647C23—204no—
1648C23—402no—
1649C23—402no—
1650C23—402no—
1651C23—402no—
1652C23C2×D4×D512yes—
1653C23#414412yes—
1654C23C2×#71312yes—
1655C23C2×#71312yes—
1656C23C2×#71312yes—
1657C23D5×#4112yes—
1658C23#414912yes—
1659C23C24×D511yescharacteristic
1660Q8—82no—
1661D4—108no—
1662D4—108no—
1663D4—108no—
1664D4—108no—
1665D4—204no—
1666D4—204no—
1667D4—204no—
1668D4—204no—
1669D4—204no—
1670D4—204no—
1671D4—204no—
1672D4—402no—
1673D4—402no—
1674D4—402no—
1675D4—402no—
1676D4—402no—
1677D4—402no—
1678D4—402no—
1679D4—402no—
1680C2×C4—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—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—52no—
1717C2×C4—52no—
1718C2×C4—52no—
1719C2×C4—52no—
1720C2×C4—52no—
1721C2×C4—82no—
1722C2×C4—82no—
1723C2×C4—108no—
1724C2×C4—108no—
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—204no—
1761C2×C4—204no—
1762C2×C4—204no—
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—102no—
1788C22—102no—
1789C22—102no—
1790C22—102no—
1791C22—102no—
1792C22—102no—
1793C22—2016no—
1794C22—201no—
1795C22—201no—
1796C22—201no—
1797C22—201no—
1798C22—201no—
1799C22—201no—
1800C22—201no—
1801C22—201no—
1802C22—201no—
1803C22—201no—
1804C22—201no—
1805C22—201no—
1806C22—201no—
1807C22—201no—
1808C22—201no—
1809C22—201no—
1810C22—201no—
1811C22—201no—
1812C22—201no—
1813C22—201no—
1814C22—201no—
1815C22—201no—
1816C22—201no—
1817C22—201no—
1818C22—201no—
1819C22—201no—
1820C22—201no—
1821C22—201no—
1822C22—201no—
1823C22—408no—
1824C22#6596114yes—
1825C22#6597814yescomplemented
1826C22C22×D4×D511yescharacteristic
1827C22C2×#414411yescharacteristic
1828C22C22×#71311yescharacteristic
1829C22C2×D5×#4111yescharacteristic
1830C22C2×#414911yescharacteristic
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—41no—
1843C4—41no—
1844C4—41no—
1845C4—102no—
1846C4—102no—
1847C4—102no—
1848C4—102no—
1849C4—102no—
1850C4—201no—
1851C4—201no—
1852C4—201no—
1853C4—201no—
1854C4—201no—
1855C4—201no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—202no—
1860C2—202no—
1861C2—401no—
1862C2—401no—
1863C2—401no—
1864C2C2×#6596111yescharacteristic
1865C2C2×#6597811yescharacteristic
1866C2#1061847311yescharacteristic
1867C2#1061850811yescharacteristic
1868C2#1061854011yescharacteristic
1869C2#1061856311yescharacteristic
1870C2#1061869611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2437C2
hypercenter#2437D5
hypocenterC5#34990
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. C2×#65978C2semidirect
2. C22×#4027C2semidirect
3. C5×#2437C2semidirect
4. #10614540C2semidirect
5. #10614500C2semidirect
6. #10614496C2semidirect
7. #10613858C2semidirect
8. #10613858C2semidirect
9. C2×#65247C2semidirect
10. #10609783C2semidirect
11. #10609756C2semidirect
12. #10609066C2semidirect
13. #10609065C2semidirect
14. #10609023C2semidirect
15. #10609023C2semidirect
16. #10608542C2semidirect
17. #10608517C2semidirect
18. #10606387C2semidirect
19. #10606336C2semidirect
20. #10606336C2semidirect
21. #10606323C2semidirect
22. #10606318C2semidirect
23. #10606150C2semidirect
24. #10606149C2semidirect
25. #10606114C2semidirect
26. #10605779C2semidirect
27. #10605752C2semidirect
28. #10605641C2semidirect
29. #10605604C2semidirect
30. #10605583C2semidirect
31. #10605549C2semidirect
35. C23×C4×D5C22semidirect
36. C2×C5×C22⋊Q8C22semidirect
37. C2×C5×C22⋊Q8C22semidirect
41. C2×#4093C22semidirect
42. C2×#4093C22semidirect
47. C22×#685C22semidirect
48. C22×#685C22semidirect
49. C22×#685C22semidirect
50. C22×#683C22semidirect
51. C22×C4×Dic5C22semidirect
53. C2×#4044C22semidirect
54. C2×#4044C22semidirect
55. C2×#4041C22semidirect
56. C2×#4041C22semidirect
57. C2×#4041C22semidirect
58. C2×#4040C22semidirect
59. C2×#4040C22semidirect
60. C2×#4040C22semidirect
65. C2×#4028C22semidirect
66. C2×#4028C22semidirect
72. C2×#4027C22semidirect
73. C2×#4027C22semidirect
74. C2×#4027C22semidirect
75. C2×#4027C22semidirect
76. C2×#4027C22semidirect
77. C2×#4027C22semidirect
78. C2×#4027C22semidirect
79. C5×#399C22semidirect
80. C5×#396C22semidirect
81. C5×#396C22semidirect
82. C5×#393C22semidirect
83. C5×#385C22semidirect
84. C5×#385C22semidirect
85. C5×#385C22semidirect
86. C5×#385C22semidirect
87. C5×#380C22semidirect
88. C5×#380C22semidirect
90. #65520C22semidirect
91. #65519C22semidirect
96. C2×#3963C22semidirect
97. C2×#3963C22semidirect
98. #65283C22semidirect
99. #65283C22semidirect
100. #65282C22semidirect
101. #65281C22semidirect
102. #65280C22semidirect
103. #65280C22semidirect
104. #65280C22semidirect
105. #65279C22semidirect
106. #65279C22semidirect
107. #65279C22semidirect
108. #65279C22semidirect
109. #65279C22semidirect
110. #65279C22semidirect
111. #65279C22semidirect
112. #65278C22semidirect
113. #65278C22semidirect
114. #65278C22semidirect
115. #65277C22semidirect
116. #65277C22semidirect
117. #65277C22semidirect
118. #65276C22semidirect
119. #65276C22semidirect
120. #65273C22semidirect
121. #65271C22semidirect
122. #65270C22semidirect
123. #65267C22semidirect
124. #65267C22semidirect
125. #65266C22semidirect
126. #65250C22semidirect
127. #65250C22semidirect
128. #65250C22semidirect
129. #65250C22semidirect
134. #65249C22semidirect
135. #65249C22semidirect
136. #65249C22semidirect
137. #65249C22semidirect
146. #65247C22semidirect
147. #65247C22semidirect
148. #65247C22semidirect
149. #65247C22semidirect
150. #65247C22semidirect
151. #65247C22semidirect
152. #65247C22semidirect
153. #65247C22semidirect
154. #65247C22semidirect
155. #65244C22semidirect
156. #65244C22semidirect
157. #65239C22semidirect
158. #65239C22semidirect
159. #65235C22semidirect
160. #65235C22semidirect
161. #65235C22semidirect
162. C22⋊C4×Dic5C22semidirect
163. C22⋊C4×Dic5C22semidirect
164. C22⋊C4×Dic5C22semidirect
165. #64964C22semidirect
166. #64964C22semidirect
167. #64961C22semidirect
168. #64961C22semidirect
169. #64960C22semidirect
170. #64959C22semidirect
171. #64959C22semidirect
172. #64958C22semidirect
173. #64958C22semidirect
174. #64958C22semidirect
175. #64954C22semidirect
176. #64954C22semidirect
177. #64954C22semidirect
178. #64954C22semidirect
179. #64954C22semidirect
180. #64954C22semidirect
181. #64954C22semidirect
182. #64953C22semidirect
183. #64953C22semidirect
184. #64949C22semidirect
185. #64944C22semidirect
186. #64943C22semidirect
187. #64943C22semidirect
188. #64940C22semidirect
365. #4027D4semidirect
417. #2437D5semidirect
595. C2×C4×D5C2×D4semidirect
660. #685C2×D4semidirect
671. #683C2×D4semidirect
678. C4×Dic5C2×D4semidirect
691. C2×C22⋊Q8C2×D5semidirect
692. C2×C22⋊Q8C2×D5semidirect
729. #399C2×D5semidirect
736. #396C2×D5semidirect
737. #396C2×D5semidirect
748. #393C2×D5semidirect
816. #385C2×D5semidirect
817. #385C2×D5semidirect
818. #385C2×D5semidirect
819. #385C2×D5semidirect
826. #380C2×D5semidirect
827. #380C2×D5semidirect
1249. C22×C5#538semidirect
1766. C5#34990semidirect
1825. C22#65978semidirect

Maximal subgroups

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

subgroupindex
C2×#659782
C22×#40272
C5×#24372
#106145402
#106145002
#106144962
#106138582
C2×#652472
#106097832
#106097562
#106090662
#106090652
#106090232
#106085422
#106085172
#106063872
#106063362
#106063232
#106063182
#106061502
#106061492
#106061142
#106057792
#106057522
#106056412
#106056042
#106055832
#106055492
#349905