Finite Group Databasebeta

← #12272289

Subgroups — #12272289

Order 1280.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65936C211yesmaximal, characteristic, complemented
2C2×#65927C211yesmaximal, characteristic, complemented
3C5×#2424C211yesmaximal, characteristic, complemented
4#10614430C211yesmaximal, characteristic, complemented
5#10614401C211yesmaximal, characteristic, complemented
6#10614389C211yesmaximal, characteristic, complemented
7#10614322C211yesmaximal, characteristic, complemented
8#10614321C211yesmaximal, characteristic, complemented
9#10614309C211yesmaximal, characteristic, complemented
10#10614086C211yesmaximal, characteristic, complemented
11C4×D4×Dic5C211yesmaximal, characteristic, complemented
12#10613842C211yesmaximal, characteristic, complemented
13C2×#65233C211yesmaximal, characteristic, complemented
14#10609076C211yesmaximal, characteristic, complemented
15#10609050C211yesmaximal, characteristic, complemented
16#10608729C211yesmaximal, characteristic, complemented
17#10608727C211yesmaximal, characteristic, complemented
18#10608685C211yesmaximal, characteristic, complemented
19#10608684C211yesmaximal, characteristic, complemented
20#10608438C211yesmaximal, characteristic, complemented
21#10608422C211yesmaximal, characteristic, complemented
22#10608156C211yesmaximal, characteristic, complemented
23#10608058C211yesmaximal, characteristic, complemented
24#10607552C211yesmaximal, characteristic, complemented
25#10607295C211yesmaximal, characteristic, complemented
26#10606600C211yesmaximal, characteristic, complemented
27#10606479C211yesmaximal, characteristic, complemented
28#10606470C211yesmaximal, characteristic, complemented
29#10606391C211yesmaximal, characteristic, complemented
30#10606203C211yesmaximal, characteristic, complemented
31#10606115C211yesmaximal, characteristic, complemented
32C2×C5×#121C2211yescharacteristic
33C2×C5×#121C2211yescharacteristic
34C2×C5×#120C2211yescharacteristic
35C2×C5×#120C2211yescharacteristic
36C2×C4×C5×D4C2211yescharacteristic
37C22×C5×C22⋊C4C2211yescharacteristic
38C2×#4099C2211yescharacteristic
39C22×C22⋊Dic5C2211yescharacteristic
40C22×C22⋊Dic5C2211yescharacteristic
41C2×#4085C2211yescharacteristic
42C2×#4085C2211yescharacteristic
43C2×#4085C2211yescharacteristic
44C2×#4084C2211yescharacteristic
45C2×#4082C2211yescharacteristic
46C2×#4081C2211yescharacteristic
47C2×#4081C2211yescharacteristic
48C2×#4081C2211yescharacteristic
49C2×#4081C2211yescharacteristic, complemented
50C2×#4081C2211yescharacteristic, complemented
51C2×D4×Dic5C2211yescharacteristic
52C2×D4×Dic5C2211yescharacteristic
53C2×D4×Dic5C2211yescharacteristic
54C2×#4070C2211yescharacteristic
55C22×#683C2211yescharacteristic
56C22×C4×Dic5C2211yescharacteristic
57C22×C4×Dic5C2211yescharacteristic, complemented
58#65936—28no—
59#65927—28no—
60C2×#4035C2211yescharacteristic, complemented
61C2×#4035C2211yescharacteristic, complemented
62C2×#4032C2211yescharacteristic
63C2×#4031C2211yescharacteristic
64C2×#4031C2211yescharacteristic
65C2×#4029C2211yescharacteristic
66C2×#4027C2211yescharacteristic
67C2×#4027C2211yescharacteristic, complemented
68C2×#4025C2211yescharacteristic
69C2×#4025C2211yescharacteristic
70C2×#4025C2211yescharacteristic, complemented
71C2×#4025C2211yescharacteristic, complemented
72C2×#4024C2211yescharacteristic
73C2×#4024C2211yescharacteristic, complemented
74C2×#4024C2211yescharacteristic, complemented
75C5×#396C2211yescharacteristic
76C5×#394C2211yescharacteristic
77C5×#394C2211yescharacteristic
78C5×#392C2211yescharacteristic
79C5×#390C2211yescharacteristic
80C5×#388C2211yescharacteristic
81C5×#386C2211yescharacteristic
82C5×#386C2211yescharacteristic
83C5×#385C2211yescharacteristic
84#65536C2211yescharacteristic
85#65512C2211yescharacteristic
86#65512C2211yescharacteristic
87#65512C2211yescharacteristic, complemented
88#65511C2211yescharacteristic
89#65511C2211yescharacteristic
90#65510C2211yescharacteristic
91#65510C2211yescharacteristic
92#65510C2211yescharacteristic
93#65510C2211yescharacteristic
94#65509C2211yescharacteristic
95#65509C2211yescharacteristic
96#65509C2211yescharacteristic
97#65509C2211yescharacteristic
98#65509C2211yescharacteristic
99#65509C2211yescharacteristic, complemented
100#65502C2211yescharacteristic
101#65502C2211yescharacteristic
102#65502C2211yescharacteristic, complemented
103#65501C2211yescharacteristic, complemented
104C4×C22⋊Dic5C2211yescharacteristic
105C4×C22⋊Dic5C2211yescharacteristic, complemented
106C2×#3963C2211yescharacteristic
107C2×#3963C2211yescharacteristic
108#65283C2211yescharacteristic, complemented
109#65279C2211yescharacteristic, complemented
110#65278C2211yescharacteristic, complemented
111#65278C2211yescharacteristic, complemented
112#65274C2211yescharacteristic, complemented
113#65273C2211yescharacteristic, complemented
114#65273C2211yescharacteristic, complemented
115#65272C2211yescharacteristic, complemented
116#65268C2211yescharacteristic, complemented
117C4⋊C4×Dic5C2211yescharacteristic, complemented
118C4⋊C4×Dic5C2211yescharacteristic, complemented
119#65262C2211yescharacteristic, complemented
120#65262C2211yescharacteristic, complemented
121#65262C2211yescharacteristic, complemented
122#65250C2211yescharacteristic
123#65250C2211yescharacteristic, complemented
124#65250C2211yescharacteristic, complemented
125#65248C2211yescharacteristic
126#65247C2211yescharacteristic, complemented
127#65246C2211yescharacteristic
128#65246C2211yescharacteristic
129#65246C2211yescharacteristic
130#65246C2211yescharacteristic, complemented
131#65242C2211yescharacteristic, complemented
132#65241C2211yescharacteristic
133#65241C2211yescharacteristic, complemented
134#65241C2211yescharacteristic, complemented
135#65240C2211yescharacteristic
136#65240C2211yescharacteristic
137#65240C2211yescharacteristic
138#65240C2211yescharacteristic
139#65240C2211yescharacteristic
140#65240C2211yescharacteristic, complemented
141#65239C2211yescharacteristic
142#65238C2211yescharacteristic
143#65238C2211yescharacteristic
144#65237C2211yescharacteristic
145#65237C2211yescharacteristic
146#65236C2211yescharacteristic
147#65236C2211yescharacteristic, complemented
148#65234C2211yescharacteristic
149#65234C2211yescharacteristic
150#65234C2211yescharacteristic, complemented
151#65233C2211yescharacteristic
152#65233C2211yescharacteristic
153#65233C2211yescharacteristic
154#65233C2211yescharacteristic
155#65233C2211yescharacteristic
156#65233C2211yescharacteristic
157#65233C2211yescharacteristic
158#65233C2211yescharacteristic
159#65233C2211yescharacteristic
160#65233C2211yescharacteristic, complemented
161#65233C2211yescharacteristic, complemented
162#65232C2211yescharacteristic
163#65231C2211yescharacteristic
164C22⋊C4×Dic5C2211yescharacteristic
165C22⋊C4×Dic5C2211yescharacteristic
166C22⋊C4×Dic5C2211yescharacteristic, complemented
167C22⋊C4×Dic5C2211yescharacteristic, complemented
168C22⋊C4×Dic5C2211yescharacteristic, complemented
169#65229C2211yescharacteristic, complemented
170C4×C4⋊Dic5C2211yescharacteristic, complemented
171C42×Dic5C2211yescharacteristic, complemented
172#65217C2211yescharacteristic, complemented
173#64959C2211yescharacteristic, complemented
174#64958C2211yescharacteristic, complemented
175#64958C2211yescharacteristic, complemented
176#64955C2211yescharacteristic, complemented
177#64949C2211yescharacteristic, complemented
178#64947C2211yescharacteristic, complemented
179#64946C2211yescharacteristic, complemented
180#64945C2211yescharacteristic, complemented
181#64943C2211yescharacteristic, complemented
182#64943C2211yescharacteristic, complemented
183#64939C2211yescharacteristic, complemented
184#64938C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#64935C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#35009—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C23×Dic5C2311yescharacteristic
207C23×Dic5C2311yescharacteristic
208C23×Dic5C2311yescharacteristic
209C23×Dic5C2311yescharacteristic
210C23×Dic5C2311yescharacteristic
211C23×Dic5C2311yescharacteristic
212C23×Dic5C2311yescharacteristic
213C22×C4×D5C2311yescharacteristic
214C22×Dic10C2311yescharacteristic
215C22×Dic10C2311yescharacteristic
216C5×#121—24no—
217C5×#121—42no—
218C5×#120—24no—
219C5×#120—24no—
220C4×C5×D4—24no—
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C4⋊C4C2311yescharacteristic
224C2×C5×C4⋊C4C2311yescharacteristic
225C2×C5×C22⋊C4—42no—
226C2×C5×C22⋊C4C2311yescharacteristic
227C2×C5×C22⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C5×C22⋊C4C2311yescharacteristic
230C2×C5×C22⋊C4C2311yescharacteristic
231C2×C5×C22⋊C4C2311yescharacteristic
232C2×C5×C22⋊C4C2311yescharacteristic
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238C2×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C42×C5C2311yescharacteristic
242#4099—24no—
243C2×C22⋊Dic5—24no—
244C2×C22⋊Dic5—24no—
245C2×C22⋊Dic5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247C2×C22⋊Dic5C2311yescharacteristic
248C2×C22⋊Dic5C2311yescharacteristic
249C2×C22⋊Dic5C2311yescharacteristic
250C2×C22⋊Dic5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261C2×C22⋊Dic5C2311yescharacteristic
262C2×C22⋊Dic5C2311yescharacteristic
263C2×C22⋊Dic5C2311yescharacteristic
264C2×C22⋊Dic5C2311yescharacteristic
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268C2×C22⋊Dic5C2311yescharacteristic
269C2×C22⋊Dic5C2311yescharacteristic
270C2×C22⋊Dic5C2311yescharacteristic
271C2×C22⋊Dic5C2311yescharacteristic
272C2×C22⋊Dic5C2311yescharacteristic
273#4085—24no—
274#4085—24no—
275#4085—24no—
276#4084—24no—
277#4082—24no—
278#4081—24no—
279#4081—24no—
280#4081—24no—
281#4081—24no—
282#4081—24no—
283D4×Dic5—24no—
284D4×Dic5—24no—
285D4×Dic5D418yescomplemented
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×C4⋊Dic5C2311yescharacteristic
296C2×C4⋊Dic5C2311yescharacteristic
297C2×C4⋊Dic5C2311yescharacteristic
298C2×C4⋊Dic5C2311yescharacteristic
299C2×C4⋊Dic5C2311yescharacteristic
300C2×C4⋊Dic5C2311yescharacteristic
301C2×C4⋊Dic5C2311yescharacteristic
302C2×C4⋊Dic5C2311yescharacteristic
303C2×C4⋊Dic5C2311yescharacteristic
304#4070—24no—
305C2×#683—24no—
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×#683C2311yescharacteristic
321C2×#683C2311yescharacteristic
322C2×#683C2311yescharacteristic
323C2×C4×Dic5—42no—
324C2×C4×Dic5—42no—
325C2×C4×Dic5C2311yescharacteristic
326C2×C4×Dic5C2311yescharacteristic
327C2×C4×Dic5C2311yescharacteristic
328C2×C4×Dic5C2311yescharacteristic
329C2×C4×Dic5C2311yescharacteristic
330C2×C4×Dic5C2311yescharacteristic
331C2×C4×Dic5C2311yescharacteristic
332C2×C4×Dic5C2311yescharacteristic
333C2×C4×Dic5C2311yescharacteristic
334C2×C4×Dic5C2311yescharacteristic
335C2×C4×Dic5C2311yescharacteristic
336C2×C4×Dic5C2311yescharacteristic
337C2×C4×Dic5C2311yescharacteristic
338C2×C4×Dic5C2311yescharacteristic
339#4035—24no—
340#4035—24no—
341#4032—24no—
342#4031—24no—
343#4031—42no—
344#4029—24no—
345#4027—24no—
346#4027—42no—
347#4025—24no—
348#4025—24no—
349#4025—24no—
350#4025—24no—
351#4024—24no—
352#4024—24no—
353#4024—24no—
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386C2×#539—51no—
387C2×#538—51no—
388#2861—51no—
389#2860—51no—
390#2854—51no—
391#2850—51no—
392#2664—51no—
393#2663—51no—
394#2662—51no—
395#2661—51no—
396#2560—51no—
397#2559—51no—
398#2558—51no—
399#2557—51no—
400#2549—51no—
401#2543—51no—
402#2539—51no—
403#2534—51no—
404#2521—51no—
405#2519—51no—
406#2488—51no—
407#2472—51no—
408#2464—51no—
409#2461—51no—
410#2425—51no—
411#2424D511yescharacteristic, complemented
412#2322—51no—
413#2321—51no—
414C4×#121—51no—
415C2×#388—51no—
416C42×D4—51no—
417C24×C5—22no—
418C24×C5—22no—
419C24×C5—22no—
420C24×C5—41no—
421C24×C5—41no—
422C24×C5—41no—
423C24×C5—41no—
424C24×C5C2411yescharacteristic
425C24×C5C2411yescharacteristic
426C24×C5C2411yescharacteristic
427C24×C5C2411yescharacteristic
428C24×C5C2411yescharacteristic
429C23×D5C2411yescharacteristic
430C2×C5×D4—22no—
431C2×C5×D4—22no—
432C2×C5×D4—22no—
433C2×C5×D4—22no—
434C2×C5×D4—22no—
435C2×C5×D4—22no—
436C2×C5×D4—22no—
437C2×C5×D4—22no—
438C2×C5×D4—22no—
439C2×C5×D4—22no—
440C2×C5×D4—41no—
441C2×C5×D4—41no—
442C2×C5×D4—41no—
443C2×C5×D4—41no—
444C2×C5×D4—41no—
445C2×C5×D4—41no—
446C2×C5×D4—41no—
447C2×C5×D4—41no—
448C2×C5×D4—41no—
449C2×C5×D4—41no—
450C2×C5×D4C2×D414yes—
451C22×C4×C5—22no—
452C22×C4×C5—22no—
453C22×C4×C5—22no—
454C22×C4×C5—22no—
455C22×C4×C5—22no—
456C22×C4×C5—41no—
457C22×C4×C5—41no—
458C22×C4×C5—41no—
459C22×C4×C5—41no—
460C22×C4×C5C2411yescharacteristic
461C22×C4×C5C2411yescharacteristic
462C22×C4×C5C2411yescharacteristic
463C22×C4×C5C2411yescharacteristic
464C22×C4×C5C2411yescharacteristic
465C22×C4×C5C2411yescharacteristic
466C22×C4×C5C2411yescharacteristic
467C22×C4×C5C2411yescharacteristic
468C22×C4×C5C2411yescharacteristic
469C22×C4×C5C2411yescharacteristic
470C2×C22⋊D5—22no—
471C2×C22⋊D5—22no—
472C2×C22⋊D5—22no—
473C2×C22⋊D5—22no—
474C2×C22⋊D5—22no—
475C2×C22⋊D5—22no—
476C2×C22⋊D5—22no—
477C2×C22⋊D5—41no—
478C2×C22⋊D5—41no—
479C2×C22⋊D5—41no—
480C2×C22⋊D5—41no—
481C2×C22⋊D5—41no—
482C2×C22⋊D5—41no—
483C2×C22⋊D5—41no—
484C2×C22⋊D5—41no—
485C22×Dic5—22no—
486C22×Dic5—22no—
487C22×Dic5—22no—
488C22×Dic5—22no—
489C22×Dic5—22no—
490C22×Dic5—22no—
491C22×Dic5—41no—
492C22×Dic5—41no—
493C22×Dic5—41no—
494C22×Dic5—41no—
495C22×Dic5—41no—
496C22×Dic5—41no—
497C22×Dic5—41no—
498C22×Dic5—41no—
499C22×Dic5—41no—
500C22×Dic5—41no—
501C22×Dic5—41no—
502C22×Dic5—41no—
503C22×Dic5C2×D414yes—
504C22×Dic5C2×D414yes—
505C22×Dic5#4114yes—
506C22×Dic5C2411yescharacteristic
507C22×Dic5C2411yescharacteristic
508C22×Dic5C2411yescharacteristic
509C22×Dic5C2411yescharacteristic
510C22×Dic5C2411yescharacteristic
511C22×Dic5C2411yescharacteristic
512C22×Dic5C2411yescharacteristic
513C22×Dic5C2411yescharacteristic
514C22×Dic5C2411yescharacteristic
515C22×Dic5C2411yescharacteristic
516C22×Dic5C2411yescharacteristic
517C22×Dic5C2411yescharacteristic
518C22×Dic5C2411yescharacteristic
519C22×Dic5C2411yescharacteristic
520C22×Dic5C2411yescharacteristic
521C2×C4×D5—22no—
522C2×C4×D5—41no—
523C2×C4×D5—41no—
524C2×Dic10—22no—
525C2×Dic10—22no—
526C2×Dic10—41no—
527C2×Dic10—41no—
528C2×Dic10—41no—
529C2×Dic10—41no—
530C5×C4⋊C4—22no—
531C5×C4⋊C4—22no—
532C5×C4⋊C4—41no—
533C5×C4⋊C4—41no—
534C5×C22⋊C4—22no—
535C5×C22⋊C4—22no—
536C5×C22⋊C4—22no—
537C5×C22⋊C4—22no—
538C5×C22⋊C4—22no—
539C5×C22⋊C4—22no—
540C5×C22⋊C4—22no—
541C5×C22⋊C4—22no—
542C5×C22⋊C4—22no—
543C5×C22⋊C4—22no—
544C5×C22⋊C4—22no—
545C5×C22⋊C4—41no—
546C5×C22⋊C4—41no—
547C5×C22⋊C4—41no—
548C5×C22⋊C4#4114yes—
549C42×C5—22no—
550C22⋊Dic5—22no—
551C22⋊Dic5—22no—
552C22⋊Dic5—22no—
553C22⋊Dic5—22no—
554C22⋊Dic5—22no—
555C22⋊Dic5—22no—
556C22⋊Dic5—22no—
557C22⋊Dic5—22no—
558C22⋊Dic5—22no—
559C22⋊Dic5—22no—
560C22⋊Dic5—22no—
561C22⋊Dic5—22no—
562C22⋊Dic5—22no—
563C22⋊Dic5—22no—
564C22⋊Dic5—22no—
565C22⋊Dic5—22no—
566C22⋊Dic5—22no—
567C22⋊Dic5—22no—
568C22⋊Dic5—22no—
569C22⋊Dic5—22no—
570C22⋊Dic5—41no—
571C22⋊Dic5—41no—
572C22⋊Dic5—41no—
573C22⋊Dic5—41no—
574C22⋊Dic5—41no—
575C22⋊Dic5—41no—
576C22⋊Dic5C2×D414yes—
577C22⋊Dic5C2×D414yes—
578#685—22no—
579#685—22no—
580#685—22no—
581#685—22no—
582#685—22no—
583#685—22no—
584#685—41no—
585#685—41no—
586#685—41no—
587C4⋊Dic5—22no—
588C4⋊Dic5—22no—
589C4⋊Dic5—22no—
590C4⋊Dic5—22no—
591C4⋊Dic5—22no—
592C4⋊Dic5—22no—
593C4⋊Dic5—41no—
594C4⋊Dic5—41no—
595C4⋊Dic5C2×D414yes—
596#683—22no—
597#683—22no—
598#683—22no—
599#683—22no—
600#683—22no—
601#683—22no—
602#683—22no—
603#683—22no—
604#683—22no—
605#683—22no—
606#683—22no—
607#683—22no—
608#683—22no—
609#683—22no—
610#683—22no—
611#683—41no—
612#683—41no—
613C4×Dic5—22no—
614C4×Dic5—22no—
615C4×Dic5—22no—
616C4×Dic5—22no—
617C4×Dic5—22no—
618C4×Dic5—22no—
619C4×Dic5—41no—
620C4×Dic5—41no—
621C4×Dic5—41no—
622C4×Dic5—41no—
623C4×Dic5—41no—
624C4×Dic5—41no—
625C4×Dic5—41no—
626C4×Dic5C2×D414yes—
627#539—108no—
628#538—108no—
629C2×#126—51no—
630C2×#126—51no—
631C2×#126—51no—
632C2×#126—51no—
633C2×#125—51no—
634C2×#125—51no—
635C2×#124—51no—
636C2×#124—51no—
637C2×#124—51no—
638C2×#123—51no—
639C2×#123—51no—
640C2×#123—51no—
641C2×#123—51no—
642C2×#123—51no—
643C2×#123—51no—
644C2×#123—51no—
645C2×C22⋊Q8—51no—
646C2×C22⋊Q8—51no—
647C2×C22⋊Q8—51no—
648C2×C22⋊Q8—51no—
649C2×#121—51no—
650C2×#121—51no—
651C2×#121—51no—
652C2×#121—51no—
653C2×#121C2×D511yescharacteristic
654C2×#121C2×D511yescharacteristic
655C2×#120—51no—
656C2×#120C2×D511yescharacteristic
657C2×#120C2×D511yescharacteristic
658C2×C4×D4—51no—
659C2×C4×D4—51no—
660C2×C4×D4—51no—
661C2×C4×D4—51no—
662C2×C4×D4—51no—
663C2×C4×D4C2×D511yescharacteristic
664C22×C4⋊C4—51no—
665C22×C22⋊C4—51no—
666C22×C22⋊C4—51no—
667C22×C22⋊C4C2×D511yescharacteristic
668C22×C42—51no—
669C22×C42—51no—
670#400—51no—
671#400—51no—
672#399—51no—
673#399—51no—
674#398—51no—
675#398—51no—
676#398—51no—
677#398—51no—
678#397—51no—
679#397—51no—
680#397—51no—
681#397—51no—
682#396—51no—
683#396—51no—
684#396—51no—
685#396C2×D511yescharacteristic
686#395—51no—
687#395—51no—
688#394—51no—
689#394—51no—
690#394—51no—
691#394—51no—
692#394—51no—
693#394—51no—
694#394C2×D511yescharacteristic
695#394C2×D511yescharacteristic
696#393—51no—
697#393—51no—
698#392—51no—
699#392—51no—
700#392—51no—
701#392C2×D511yescharacteristic
702#391—51no—
703#391—51no—
704#391—51no—
705#390—51no—
706#390—51no—
707#390—51no—
708#390—51no—
709#390—51no—
710#390—51no—
711#390—51no—
712#390—51no—
713#390C2×D511yescharacteristic
714#389—51no—
715#389—51no—
716#389—51no—
717#389—51no—
718#389—51no—
719#389—51no—
720#388—51no—
721#388—51no—
722#388—51no—
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388—51no—
730#388—51no—
731#388—51no—
732#388—51no—
733#388—51no—
734#388—51no—
735#388—51no—
736#388—51no—
737#388—51no—
738#388—51no—
739#388—51no—
740#388—51no—
741#388—51no—
742#388—51no—
743#388—51no—
744#388—51no—
745#388C2×D511yescharacteristic
746#387—51no—
747#387—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386—51no—
754#386—51no—
755#386—51no—
756#386—51no—
757#386—51no—
758#386C2×D511yescharacteristic
759#386C2×D511yescharacteristic
760#385—51no—
761#385—51no—
762#385—51no—
763#385C2×D511yescharacteristic
764#382—51no—
765#381—51no—
766#380—51no—
767#380—51no—
768#379—51no—
769C4×C4⋊C4—51no—
770C4×C4⋊C4—51no—
771C4×C4⋊C4—51no—
772C4×C4⋊C4—51no—
773C4×C22⋊C4—51no—
774C4×C22⋊C4—51no—
775C4×C22⋊C4—51no—
776C4×C22⋊C4—51no—
777C4×C22⋊C4—51no—
778C4×C22⋊C4—51no—
779C4×C22⋊C4—51no—
780C4×C22⋊C4—51no—
781C2×#95—51no—
782C2×#95—51no—
783C43—51no—
784C23×C5—21no—
785C23×C5—21no—
786C23×C5—21no—
787C23×C5—21no—
788C23×C5—21no—
789C23×C5—21no—
790C23×C5—21no—
791C23×C5—21no—
792C23×C5—21no—
793C23×C5—21no—
794C23×C5—21no—
795C23×C5—21no—
796C23×C5—21no—
797C23×C5—21no—
798C23×C5—21no—
799C23×C5—21no—
800C23×C5—21no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—21no—
810C23×C5—21no—
811C23×C5—21no—
812C23×C5—21no—
813C23×C5—21no—
814C23×C5—21no—
815C23×C5—44no—
816C23×C5—44no—
817C23×C5—44no—
818C23×C5—82no—
819C23×C5—82no—
820C23×C5—82no—
821C23×C5—82no—
822C23×C5C22×D412yes—
823C23×C5C22×D412yes—
824C23×C5C2×#4112yes—
825C23×C5C2×#4112yes—
826C23×C5C2511yescharacteristic
827C22×D5—21no—
828C22×D5—21no—
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—21no—
834C5×D4—28no—
835C5×D4—44no—
836C5×D4—82no—
837C5×D4—82no—
838C5×D4—82no—
839C5×D4—82no—
840C5×D4—82no—
841C2×C4×C5—21no—
842C2×C4×C5—21no—
843C2×C4×C5—21no—
844C2×C4×C5—21no—
845C2×C4×C5—21no—
846C2×C4×C5—21no—
847C2×C4×C5—21no—
848C2×C4×C5—21no—
849C2×C4×C5—21no—
850C2×C4×C5—21no—
851C2×C4×C5—21no—
852C2×C4×C5—21no—
853C2×C4×C5—21no—
854C2×C4×C5—21no—
855C2×C4×C5—21no—
856C2×C4×C5—21no—
857C2×C4×C5—21no—
858C2×C4×C5—21no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—44no—
868C2×C4×C5—44no—
869C2×C4×C5—82no—
870C2×C4×C5C22×D412yes—
871C2×C4×C5C2×#4112yes—
872C2×C4×C5C2×#4112yes—
873C2×C4×C5H(5,𝔽2)12yes—
874C22⋊D5—44no—
875C22⋊D5—44no—
876C22⋊D5—82no—
877C22⋊D5—82no—
878C22⋊D5—82no—
879C2×Dic5—21no—
880C2×Dic5—21no—
881C2×Dic5—21no—
882C2×Dic5—21no—
883C2×Dic5—21no—
884C2×Dic5—21no—
885C2×Dic5—21no—
886C2×Dic5—21no—
887C2×Dic5—21no—
888C2×Dic5—21no—
889C2×Dic5—21no—
890C2×Dic5—21no—
891C2×Dic5—21no—
892C2×Dic5—21no—
893C2×Dic5—21no—
894C2×Dic5—21no—
895C2×Dic5—21no—
896C2×Dic5—21no—
897C2×Dic5—21no—
898C2×Dic5—21no—
899C2×Dic5—21no—
900C2×Dic5—21no—
901C2×Dic5—21no—
902C2×Dic5—21no—
903C2×Dic5—21no—
904C2×Dic5—21no—
905C2×Dic5—21no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—21no—
909C2×Dic5—21no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—21no—
915C2×Dic5—21no—
916C2×Dic5—21no—
917C2×Dic5—21no—
918C2×Dic5—44no—
919C2×Dic5—44no—
920C2×Dic5—44no—
921C2×Dic5—44no—
922C2×Dic5—44no—
923C2×Dic5—82no—
924C2×Dic5—82no—
925C2×Dic5C22×D412yes—
926C2×Dic5C22×D412yes—
927C2×Dic5C22×D412yes—
928C2×Dic5C22×D412yes—
929C2×Dic5C2×#4112yes—
930C2×Dic5C2×#4112yes—
931C4×D5—82no—
932Dic10—82no—
933Dic10—82no—
934C25C22×D511yescharacteristic
935C22×Q8—51no—
936C22×Q8—51no—
937C22×D4—51no—
938C22×D4—51no—
939C22×D4—51no—
940C22×D4—51no—
941C22×D4—51no—
942C22×D4C22×D511yescharacteristic
943C22×D4C22×D511yescharacteristic
944C22×D4C22×D511yescharacteristic
945C22×D4C22×D511yescharacteristic
946C22×D4C22×D511yescharacteristic
947C22×D4C22×D511yescharacteristic
948C22×D4C22×D511yescharacteristic
949C23×C4—51no—
950C23×C4—51no—
951C23×C4—51no—
952C23×C4—51no—
953C23×C4—51no—
954C23×C4—51no—
955C23×C4—51no—
956C23×C4—51no—
957C23×C4C22×D511yescharacteristic
958C23×C4C22×D511yescharacteristic
959C23×C4C22×D511yescharacteristic
960#126—104no—
961#126—104no—
962#126—104no—
963#126—104no—
964#125—104no—
965#125—104no—
966#124—104no—
967#124—104no—
968#124—202no—
969#123—104no—
970#123—104no—
971#123—104no—
972#123—104no—
973#123—104no—
974#123—104no—
975#123—104no—
976C22⋊Q8—104no—
977C22⋊Q8—104no—
978C22⋊Q8—104no—
979C22⋊Q8—104no—
980#121—24no—
981#121—42no—
982#121—104no—
983#121—104no—
984#121—104no—
985#121—104no—
986#120—24no—
987#120—24no—
988#120—104no—
989C4×D4—24no—
990C4×D4—58no—
991C4×D4—104no—
992C4×D4—104no—
993C4×D4—104no—
994C4×D4—202no—
995C2×C4⋊C4—51no—
996C2×C4⋊C4—51no—
997C2×C4⋊C4—51no—
998C2×C4⋊C4—51no—
999C2×C4⋊C4—51no—
1000C2×C4⋊C4—51no—
1001C2×C4⋊C4—51no—
1002C2×C4⋊C4—51no—
1003C2×C4⋊C4—51no—
1004C2×C4⋊C4—51no—
1005C2×C4⋊C4—51no—
1006C2×C4⋊C4—51no—
1007C2×C4⋊C4—51no—
1008C2×C4⋊C4—51no—
1009C2×C4⋊C4—51no—
1010C2×C4⋊C4—51no—
1011C2×C4⋊C4—51no—
1012C2×C4⋊C4—51no—
1013C2×C4⋊C4—51no—
1014C2×C4⋊C4—51no—
1015C2×C4⋊C4—51no—
1016C2×C4⋊C4—51no—
1017C2×C4⋊C4—51no—
1018C2×C4⋊C4—51no—
1019C2×C4⋊C4—51no—
1020C2×C4⋊C4—51no—
1021C2×C4⋊C4—104no—
1022C2×C4⋊C4C22×D511yescharacteristic
1023C2×C4⋊C4C22×D511yescharacteristic
1024C2×C4⋊C4C22×D511yescharacteristic
1025C2×C4⋊C4C22×D511yescharacteristic
1026C2×C22⋊C4—42no—
1027C2×C22⋊C4—51no—
1028C2×C22⋊C4—51no—
1029C2×C22⋊C4—51no—
1030C2×C22⋊C4—51no—
1031C2×C22⋊C4—51no—
1032C2×C22⋊C4—51no—
1033C2×C22⋊C4—51no—
1034C2×C22⋊C4—51no—
1035C2×C22⋊C4—51no—
1036C2×C22⋊C4—51no—
1037C2×C22⋊C4—51no—
1038C2×C22⋊C4—51no—
1039C2×C22⋊C4—51no—
1040C2×C22⋊C4—51no—
1041C2×C22⋊C4—51no—
1042C2×C22⋊C4—51no—
1043C2×C22⋊C4—51no—
1044C2×C22⋊C4—51no—
1045C2×C22⋊C4—51no—
1046C2×C22⋊C4—51no—
1047C2×C22⋊C4—51no—
1048C2×C22⋊C4—51no—
1049C2×C22⋊C4—51no—
1050C2×C22⋊C4—51no—
1051C2×C22⋊C4—51no—
1052C2×C22⋊C4—51no—
1053C2×C22⋊C4—51no—
1054C2×C22⋊C4—51no—
1055C2×C22⋊C4—51no—
1056C2×C22⋊C4—51no—
1057C2×C22⋊C4—51no—
1058C2×C22⋊C4—51no—
1059C2×C22⋊C4—51no—
1060C2×C22⋊C4—51no—
1061C2×C22⋊C4—51no—
1062C2×C22⋊C4—51no—
1063C2×C22⋊C4—51no—
1064C2×C22⋊C4—104no—
1065C2×C22⋊C4—104no—
1066C2×C22⋊C4C22×D511yescharacteristic
1067C2×C22⋊C4C22×D511yescharacteristic
1068C2×C22⋊C4C22×D511yescharacteristic
1069C2×C22⋊C4C22×D511yescharacteristic
1070C2×C22⋊C4C22×D511yescharacteristic
1071C2×C22⋊C4C22×D511yescharacteristic
1072C2×C22⋊C4C22×D511yescharacteristic
1073C2×C22⋊C4C22×D511yescharacteristic
1074C2×C22⋊C4C22×D511yescharacteristic
1075C2×C22⋊C4C22×D511yescharacteristic
1076C2×C22⋊C4C22×D511yescharacteristic
1077C2×C22⋊C4C22×D511yescharacteristic
1078C2×C22⋊C4C22×D511yescharacteristic
1079C2×C22⋊C4C22×D511yescharacteristic
1080C2×C22⋊C4C22×D511yescharacteristic
1081C2×C42—51no—
1082C2×C42—51no—
1083C2×C42—51no—
1084C2×C42—51no—
1085C2×C42—51no—
1086C2×C42—51no—
1087C2×C42—51no—
1088C2×C42—51no—
1089C2×C42—51no—
1090C2×C42—51no—
1091C2×C42—51no—
1092C2×C42—51no—
1093C2×C42—51no—
1094C2×C42—51no—
1095C2×C42—202no—
1096C2×C42—202no—
1097C2×C42C22×D511yescharacteristic
1098#95—51no—
1099#95—51no—
1100#95—51no—
1101#95—51no—
1102#95—51no—
1103#95—51no—
1104#95—51no—
1105#95—51no—
1106#95—51no—
1107#95—51no—
1108#95—51no—
1109#95—51no—
1110#95—51no—
1111#95—51no—
1112#95—51no—
1113#95—51no—
1114#95—51no—
1115#95—51no—
1116#95—51no—
1117#95—51no—
1118#95—51no—
1119#95—51no—
1120#95—51no—
1121#95—51no—
1122#95—51no—
1123#95—51no—
1124#95—51no—
1125#95—51no—
1126#95C22×D511yescharacteristic
1127#95C22×D511yescharacteristic
1128#95C22×D511yescharacteristic
1129#95C22×D511yescharacteristic
1130C22×C5—22no—
1131C22×C5—22no—
1132C22×C5—22no—
1133C22×C5—22no—
1134C22×C5—22no—
1135C22×C5—22no—
1136C22×C5—22no—
1137C22×C5—22no—
1138C22×C5—22no—
1139C22×C5—41no—
1140C22×C5—41no—
1141C22×C5—41no—
1142C22×C5—41no—
1143C22×C5—41no—
1144C22×C5—41no—
1145C22×C5—41no—
1146C22×C5—41no—
1147C22×C5—41no—
1148C22×C5—41no—
1149C22×C5—41no—
1150C22×C5—41no—
1151C22×C5—41no—
1152C22×C5—41no—
1153C22×C5—41no—
1154C22×C5—41no—
1155C22×C5—41no—
1156C22×C5—41no—
1157C22×C5—41no—
1158C22×C5—41no—
1159C22×C5—41no—
1160C22×C5—41no—
1161C22×C5—41no—
1162C22×C5—41no—
1163C22×C5—41no—
1164C22×C5—88no—
1165C22×C5#53214yes—
1166C22×C5C23×D411yescharacteristic
1167C22×C5C22×#4111yescharacteristic
1168C22×C5C22×#4111yescharacteristic
1169C22×C5C2×H(5,𝔽2)11yescharacteristic
1170C22×C5#58511yescharacteristic
1171C22×C5#58511yescharacteristic
1172C22×C5#58511yescharacteristic
1173C2×D5—41no—
1174C2×D5—41no—
1175C2×D5—41no—
1176C2×D5—41no—
1177C2×D5—41no—
1178C2×D5—41no—
1179C2×D5—41no—
1180C4×C5—22no—
1181C4×C5—22no—
1182C4×C5—22no—
1183C4×C5—22no—
1184C4×C5—41no—
1185C4×C5—41no—
1186C4×C5—41no—
1187C4×C5—41no—
1188C4×C5—41no—
1189C4×C5—41no—
1190Dic5—22no—
1191Dic5—22no—
1192Dic5—22no—
1193Dic5—22no—
1194Dic5—22no—
1195Dic5—22no—
1196Dic5—41no—
1197Dic5—41no—
1198Dic5—41no—
1199Dic5—41no—
1200Dic5—41no—
1201Dic5—41no—
1202Dic5—41no—
1203Dic5—41no—
1204Dic5—41no—
1205C24—22no—
1206C24—22no—
1207C24—22no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—51no—
1213C24C23×D511yescharacteristic
1214C24C23×D511yescharacteristic
1215C24C23×D511yescharacteristic
1216C24C23×D511yescharacteristic
1217C24C23×D511yescharacteristic
1218C2×Q8—102no—
1219C2×Q8—102no—
1220C2×Q8—201no—
1221C2×Q8—201no—
1222C2×Q8—201no—
1223C2×Q8—201no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—102no—
1245C2×D4—102no—
1246C2×D4—102no—
1247C2×D4—102no—
1248C2×D4—102no—
1249C2×D4—102no—
1250C2×D4—102no—
1251C2×D4—201no—
1252C2×D4—201no—
1253C2×D4—201no—
1254C2×D4—201no—
1255C2×D4—201no—
1256C2×D4—201no—
1257C2×D4—201no—
1258C2×D4—201no—
1259C2×D4D4×D514yes—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—51no—
1270C22×C4—51no—
1271C22×C4—51no—
1272C22×C4—51no—
1273C22×C4—51no—
1274C22×C4—51no—
1275C22×C4—54no—
1276C22×C4—54no—
1277C22×C4—54no—
1278C22×C4—51no—
1279C22×C4—51no—
1280C22×C4—51no—
1281C22×C4—51no—
1282C22×C4—51no—
1283C22×C4—51no—
1284C22×C4—51no—
1285C22×C4—51no—
1286C22×C4—51no—
1287C22×C4—102no—
1288C22×C4—102no—
1289C22×C4—102no—
1290C22×C4—102no—
1291C22×C4—102no—
1292C22×C4—102no—
1293C22×C4—102no—
1294C22×C4—201no—
1295C22×C4—201no—
1296C22×C4—201no—
1297C22×C4—201no—
1298C22×C4—201no—
1299C22×C4—201no—
1300C22×C4—201no—
1301C22×C4—201no—
1302C22×C4—201no—
1303C22×C4—201no—
1304C22×C4—201no—
1305C22×C4—201no—
1306C22×C4—201no—
1307C22×C4—201no—
1308C22×C4C23×D511yescharacteristic
1309C22×C4C23×D511yescharacteristic
1310C22×C4C23×D511yescharacteristic
1311C22×C4C23×D511yescharacteristic
1312C22×C4C23×D511yescharacteristic
1313C22×C4C23×D511yescharacteristic
1314C22×C4C23×D511yescharacteristic
1315C22×C4C23×D511yescharacteristic
1316C22×C4C23×D511yescharacteristic
1317C22×C4C23×D511yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—54no—
1323C4⋊C4—102no—
1324C4⋊C4—102no—
1325C4⋊C4—102no—
1326C4⋊C4—102no—
1327C4⋊C4—102no—
1328C4⋊C4—102no—
1329C4⋊C4—102no—
1330C4⋊C4—102no—
1331C4⋊C4—102no—
1332C4⋊C4—102no—
1333C4⋊C4—102no—
1334C4⋊C4—102no—
1335C4⋊C4—102no—
1336C4⋊C4—102no—
1337C4⋊C4—102no—
1338C4⋊C4—102no—
1339C4⋊C4—102no—
1340C4⋊C4—102no—
1341C4⋊C4—102no—
1342C4⋊C4—102no—
1343C4⋊C4—102no—
1344C4⋊C4—201no—
1345C4⋊C4—201no—
1346C4⋊C4—201no—
1347C4⋊C4—201no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—54no—
1363C22⋊C4—54no—
1364C22⋊C4—102no—
1365C22⋊C4—102no—
1366C22⋊C4—102no—
1367C22⋊C4—102no—
1368C22⋊C4—102no—
1369C22⋊C4—102no—
1370C22⋊C4—102no—
1371C22⋊C4—102no—
1372C22⋊C4—102no—
1373C22⋊C4—102no—
1374C22⋊C4—102no—
1375C22⋊C4—102no—
1376C22⋊C4—102no—
1377C22⋊C4—102no—
1378C22⋊C4—102no—
1379C22⋊C4—102no—
1380C22⋊C4—102no—
1381C22⋊C4—102no—
1382C22⋊C4—102no—
1383C22⋊C4—102no—
1384C22⋊C4—102no—
1385C22⋊C4—102no—
1386C22⋊C4—102no—
1387C22⋊C4—102no—
1388C22⋊C4—102no—
1389C22⋊C4—102no—
1390C22⋊C4—201no—
1391C22⋊C4—201no—
1392C22⋊C4—201no—
1393C22⋊C4—201no—
1394C22⋊C4—201no—
1395C22⋊C4—201no—
1396C22⋊C4—201no—
1397C22⋊C4—201no—
1398C22⋊C4—201no—
1399C22⋊C4#71114yes—
1400C42—22no—
1401C42—54no—
1402C42—102no—
1403C42—102no—
1404C42—102no—
1405C42—102no—
1406C42—102no—
1407C42—102no—
1408C42—201no—
1409C42—201no—
1410C42—201no—
1411C42—201no—
1412C42—201no—
1413C42—201no—
1414C42—201no—
1415C2×C5—24no—
1416C2×C5—42no—
1417C2×C5—81no—
1418C2×C5—81no—
1419C2×C5—81no—
1420C2×C5C2×#53211yescharacteristic
1421C2×C5#345511yescharacteristic
1422C2×C5#345911yescharacteristic
1423C2×C5#349611yescharacteristic
1424C2×C5#350011yescharacteristic
1425C2×C5#351311yescharacteristic
1426C2×C5#352111yescharacteristic
1427D5—81no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—82no—
1463C23—82no—
1464C23—82no—
1465C23—82no—
1466C23—101no—
1467C23—101no—
1468C23—101no—
1469C23—101no—
1470C23—101no—
1471C23—101no—
1472C23—101no—
1473C23C2×D4×D512yes—
1474C23C2×D4×D512yes—
1475C23C2×#71112yes—
1476C23D5×#4112yes—
1477C23C24×D511yescharacteristic
1478Q8—402no—
1479Q8—402no—
1480D4—28no—
1481D4—44no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—204no—
1488D4—204no—
1489D4—402no—
1490D4—402no—
1491D4—402no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—52no—
1521C2×C4—52no—
1522C2×C4—52no—
1523C2×C4—52no—
1524C2×C4—52no—
1525C2×C4—52no—
1526C2×C4—82no—
1527C2×C4—101no—
1528C2×C4—101no—
1529C2×C4—101no—
1530C2×C4—101no—
1531C2×C4—101no—
1532C2×C4—101no—
1533C2×C4—101no—
1534C2×C4—101no—
1535C2×C4—101no—
1536C2×C4—101no—
1537C2×C4—101no—
1538C2×C4—101no—
1539C2×C4—101no—
1540C2×C4—101no—
1541C2×C4—101no—
1542C2×C4—101no—
1543C2×C4—101no—
1544C2×C4—101no—
1545C2×C4—101no—
1546C2×C4—101no—
1547C2×C4—101no—
1548C2×C4—101no—
1549C2×C4—101no—
1550C2×C4—101no—
1551C2×C4—101no—
1552C2×C4—101no—
1553C2×C4—101no—
1554C2×C4—101no—
1555C2×C4—101no—
1556C2×C4—101no—
1557C2×C4—101no—
1558C2×C4—101no—
1559C2×C4—101no—
1560C2×C4—101no—
1561C2×C4—101no—
1562C2×C4—101no—
1563C2×C4—101no—
1564C2×C4—101no—
1565C2×C4—101no—
1566C2×C4—204no—
1567C2×C4—204no—
1568C2×C4—204no—
1569C2×C4—204no—
1570C2×C4—204no—
1571C2×C4—402no—
1572C2×C4—402no—
1573C2×C4—402no—
1574C2×C4C2×D4×D512yes—
1575C2×C4C2×#71112yes—
1576C2×C4C2×#71112yes—
1577C2×C4#414412yes—
1578C5#3500911yescharacteristic, complemented, Sylow
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—88no—
1614C22—201no—
1615C22—201no—
1616C22—201no—
1617C22—201no—
1618C22—201no—
1619C22—201no—
1620C22—201no—
1621C22#6593014yes—
1622C22C22×D4×D511yescharacteristic
1623C22C22×#71111yescharacteristic
1624C22C2×#414411yescharacteristic
1625C22C2×D5×#4111yescharacteristic
1626C22#6628311yescharacteristic
1627C22#6628511yescharacteristic
1628C22#6628511yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—102no—
1640C4—102no—
1641C4—102no—
1642C4—102no—
1643C4—102no—
1644C4—102no—
1645C4—201no—
1646C4—201no—
1647C4—201no—
1648C4—201no—
1649C4—201no—
1650C4—201no—
1651C4—201no—
1652C4—201no—
1653C4—201no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—81no—
1658C2—81no—
1659C2—401no—
1660C2C2×#6593011yescharacteristic
1661C2#1061793711yescharacteristic
1662C2#1061828811yescharacteristic
1663C2#1061851011yescharacteristic
1664C2#1061852211yescharacteristic
1665C2#1061853311yescharacteristic
1666C2#1061854311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2424C2
hypercenter#2424D5
hypocenterC5#35009
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#65936C2semidirect
2. C2×#65927C2semidirect
3. C5×#2424C2semidirect
4. #10614430C2semidirect
5. #10614401C2semidirect
6. #10614389C2semidirect
7. #10614322C2semidirect
8. #10614321C2semidirect
9. #10614309C2semidirect
10. #10614086C2semidirect
11. C4×D4×Dic5C2semidirect
12. #10613842C2semidirect
13. C2×#65233C2semidirect
14. #10609076C2semidirect
15. #10609050C2semidirect
16. #10608729C2semidirect
17. #10608727C2semidirect
18. #10608685C2semidirect
19. #10608684C2semidirect
20. #10608438C2semidirect
21. #10608422C2semidirect
22. #10608156C2semidirect
23. #10608058C2semidirect
24. #10607552C2semidirect
25. #10607295C2semidirect
26. #10606600C2semidirect
27. #10606479C2semidirect
28. #10606470C2semidirect
29. #10606391C2semidirect
30. #10606203C2semidirect
31. #10606115C2semidirect
49. C2×#4081C22semidirect
50. C2×#4081C22semidirect
57. C22×C4×Dic5C22semidirect
60. C2×#4035C22semidirect
61. C2×#4035C22semidirect
67. C2×#4027C22semidirect
70. C2×#4025C22semidirect
71. C2×#4025C22semidirect
73. C2×#4024C22semidirect
74. C2×#4024C22semidirect
87. #65512C22semidirect
99. #65509C22semidirect
102. #65502C22semidirect
103. #65501C22semidirect
105. C4×C22⋊Dic5C22semidirect
108. #65283C22semidirect
109. #65279C22semidirect
110. #65278C22semidirect
111. #65278C22semidirect
112. #65274C22semidirect
113. #65273C22semidirect
114. #65273C22semidirect
115. #65272C22semidirect
116. #65268C22semidirect
117. C4⋊C4×Dic5C22semidirect
118. C4⋊C4×Dic5C22semidirect
119. #65262C22semidirect
120. #65262C22semidirect
121. #65262C22semidirect
123. #65250C22semidirect
124. #65250C22semidirect
126. #65247C22semidirect
130. #65246C22semidirect
131. #65242C22semidirect
133. #65241C22semidirect
134. #65241C22semidirect
140. #65240C22semidirect
147. #65236C22semidirect
150. #65234C22semidirect
160. #65233C22semidirect
161. #65233C22semidirect
166. C22⋊C4×Dic5C22semidirect
167. C22⋊C4×Dic5C22semidirect
168. C22⋊C4×Dic5C22semidirect
169. #65229C22semidirect
170. C4×C4⋊Dic5C22semidirect
171. C42×Dic5C22semidirect
172. #65217C22semidirect
173. #64959C22semidirect
174. #64958C22semidirect
175. #64958C22semidirect
176. #64955C22semidirect
177. #64949C22semidirect
178. #64947C22semidirect
179. #64946C22semidirect
180. #64945C22semidirect
181. #64943C22semidirect
182. #64943C22semidirect
183. #64939C22semidirect
184. #64938C22semidirect
185. #64936C22semidirect
186. #64935C22semidirect
187. #64935C22semidirect
188. #64935C22semidirect
285. D4×Dic5D4semidirect
411. #2424D5semidirect
1578. C5#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#659362
C2×#659272
C5×#24242
#106144302
#106144012
#106143892
#106143222
#106143212
#106143092
#106140862
C4×D4×Dic52
#106138422
C2×#652332
#106090762
#106090502
#106087292
#106087272
#106086852
#106086842
#106084382
#106084222
#106081562
#106080582
#106075522
#106072952
#106066002
#106064792
#106064702
#106063912
#106062032
#106061152
#350095