Finite Group Databasebeta

← #12267956

Subgroups — #12267956

Order 1280.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65990C211yesmaximal, characteristic, complemented
2C2×C4×#711C211yesmaximal, characteristic, complemented
3C5×#2457C211yesmaximal, characteristic, complemented
4#10614585C211yesmaximal, characteristic, complemented
5#10614144C211yesmaximal, characteristic, complemented
6#10610073C211yesmaximal, characteristic, complemented
7#10609862C211yesmaximal, characteristic, complemented
8#10609145C211yesmaximal, characteristic, complemented
9#10609013C211yesmaximal, characteristic, complemented
10#10608847C211yesmaximal, characteristic, complemented
11#10608621C211yesmaximal, characteristic, complemented
12#10608485C211yesmaximal, characteristic, complemented
13#10608396C211yesmaximal, characteristic, complemented
14#10607596C211yesmaximal, characteristic, complemented
15#10607594C211yesmaximal, characteristic, complemented
16#10607183C211yesmaximal, characteristic, complemented
17#10607180C211yesmaximal, characteristic, complemented
18#10607059C211yesmaximal, characteristic, complemented
19#10606671C211yesmaximal, characteristic, complemented
20#10606625C211yesmaximal, characteristic, complemented
21#10606623C211yesmaximal, characteristic, complemented
22#10606455C211yesmaximal, characteristic, complemented
23#10606390C211yesmaximal, characteristic, complemented
24#10606389C211yesmaximal, characteristic, complemented
25#10606388C211yesmaximal, characteristic, complemented
26#10605859C211yesmaximal, characteristic, complemented
27#10605783C211yesmaximal, characteristic, complemented
28#10605754C211yesmaximal, characteristic, complemented
29#10605596C211yesmaximal, characteristic, complemented
30C4×D5×C22⋊C4C211yesmaximal, characteristic, complemented
31#10605227C211yesmaximal, characteristic, complemented
32C22×#711C2211yescharacteristic
33C22×#711C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×#123C2211yescharacteristic
36C2×C4×C5×D4C2211yescharacteristic, complemented
37C2×#4083C2211yescharacteristic
38C2×#4083C2211yescharacteristic
39C2×D4×Dic5C2211yescharacteristic
40C2×D4×Dic5C2211yescharacteristic, complemented
41C2×#4076C2211yescharacteristic
42C2×#4075C2211yescharacteristic
43C2×#4075C2211yescharacteristic
44C2×C4×C22⋊D5C2211yescharacteristic
45C2×C4×C22⋊D5C2211yescharacteristic
46C22×C4×Dic5C2211yescharacteristic, complemented
47C22×C4×Dic5C2211yescharacteristic, complemented
48#65990—28no—
49C4×#711—28no—
50C2×#4042C2211yescharacteristic
51C2×#4042C2211yescharacteristic
52C2×#4040C2211yescharacteristic
53C2×#4039C2211yescharacteristic
54C2×#4039C2211yescharacteristic
55C2×#4038C2211yescharacteristic
56C2×#4033C2211yescharacteristic, complemented
57C2×#4030C2211yescharacteristic
58C2×#4030C2211yescharacteristic
59C2×#4030C2211yescharacteristic
60C2×#4028C2211yescharacteristic
61C2×#4027C2211yescharacteristic
62C2×#4027C2211yescharacteristic
63C2×#4027C2211yescharacteristic
64C2×#4027C2211yescharacteristic
65C2×#4027C2211yescharacteristic, complemented
66C2×D5×C22⋊C4C2211yescharacteristic
67C2×D5×C22⋊C4C2211yescharacteristic
68C2×#4023C2211yescharacteristic
69C2×#4023C2211yescharacteristic, complemented
70C2×#4023C2211yescharacteristic, complemented
71C2×#4023C2211yescharacteristic, complemented
72C2×C42×D5C2211yescharacteristic
73C2×C42×D5C2211yescharacteristic
74C2×C4×Dic10C2211yescharacteristic, complemented
75C5×#400C2211yescharacteristic, complemented
76C5×#396C2211yescharacteristic
77C5×#394C2211yescharacteristic, complemented
78C5×#392C2211yescharacteristic
79C5×#388C2211yescharacteristic, complemented
80C5×#388C2211yescharacteristic, complemented
81C5×#387C2211yescharacteristic, complemented
82C5×#386C2211yescharacteristic
83C5×#386C2211yescharacteristic
84C5×#386C2211yescharacteristic
85C5×#381C2211yescharacteristic, complemented
86C5×#380C2211yescharacteristic, complemented
87C4×C5×C22⋊C4C2211yescharacteristic
88#65512C2211yescharacteristic
89#65512C2211yescharacteristic
90#65512C2211yescharacteristic, complemented
91#65511C2211yescharacteristic
92#65509C2211yescharacteristic
93#65509C2211yescharacteristic
94#65502C2211yescharacteristic, complemented
95#65499C2211yescharacteristic
96#65499C2211yescharacteristic, complemented
97C4×C22⋊Dic5C2211yescharacteristic
98#65283C2211yescharacteristic
99#65280C2211yescharacteristic
100#65278C2211yescharacteristic
101#65277C2211yescharacteristic
102#65273C2211yescharacteristic, complemented
103#65272C2211yescharacteristic, complemented
104#65271C2211yescharacteristic, complemented
105#65268C2211yescharacteristic, complemented
106#65267C2211yescharacteristic, complemented
107C4⋊C4×Dic5C2211yescharacteristic, complemented
108C4⋊C4×Dic5C2211yescharacteristic, complemented
109#65262C2211yescharacteristic, complemented
110#65261C2211yescharacteristic, complemented
111#65250C2211yescharacteristic
112#65250C2211yescharacteristic
113#65250C2211yescharacteristic, complemented
114#65248C2211yescharacteristic
115#65247C2211yescharacteristic
116#65247C2211yescharacteristic
117#65247C2211yescharacteristic, complemented
118#65247C2211yescharacteristic, complemented
119#65246C2211yescharacteristic
120#65246C2211yescharacteristic
121#65246C2211yescharacteristic, complemented
122#65245C2211yescharacteristic
123#65245C2211yescharacteristic
124#65245C2211yescharacteristic
125#65245C2211yescharacteristic
126#65245C2211yescharacteristic
127#65244C2211yescharacteristic
128#65241C2211yescharacteristic, complemented
129#65240C2211yescharacteristic, complemented
130#65238C2211yescharacteristic
131#65237C2211yescharacteristic
132#65237C2211yescharacteristic, complemented
133#65236C2211yescharacteristic
134#65236C2211yescharacteristic, complemented
135#65235C2211yescharacteristic, complemented
136#65235C2211yescharacteristic, complemented
137#65234C2211yescharacteristic
138#65233C2211yescharacteristic
139C22⋊C4×Dic5C2211yescharacteristic
140C22⋊C4×Dic5C2211yescharacteristic
141C22⋊C4×Dic5C2211yescharacteristic
142C22⋊C4×Dic5C2211yescharacteristic, complemented
143C22⋊C4×Dic5C2211yescharacteristic, complemented
144#65229C2211yescharacteristic, complemented
145#65229C2211yescharacteristic, complemented
146C4×#685C2211yescharacteristic
147C4×#685C2211yescharacteristic
148#65222C2211yescharacteristic, complemented
149#64964C2211yescharacteristic
150#64964C2211yescharacteristic, complemented
151#64962C2211yescharacteristic
152#64962C2211yescharacteristic, complemented
153#64961C2211yescharacteristic
154#64959C2211yescharacteristic, complemented
155#64958C2211yescharacteristic
156#64958C2211yescharacteristic
157#64958C2211yescharacteristic
158#64958C2211yescharacteristic, complemented
159#64957C2211yescharacteristic
160#64957C2211yescharacteristic
161#64957C2211yescharacteristic
162#64957C2211yescharacteristic
163#64956C2211yescharacteristic
164#64955C2211yescharacteristic
165#64955C2211yescharacteristic
166#64955C2211yescharacteristic
167#64955C2211yescharacteristic
168#64955C2211yescharacteristic, complemented
169#64955C2211yescharacteristic, complemented
170#64955C2211yescharacteristic, complemented
171#64954C2211yescharacteristic
172#64954C2211yescharacteristic
173#64953C2211yescharacteristic
174D5×#95C2211yescharacteristic
175D5×#95C2211yescharacteristic
176#64947C2211yescharacteristic, complemented
177#64946C2211yescharacteristic, complemented
178#64945C2211yescharacteristic, complemented
179#64943C2211yescharacteristic, complemented
180#64942C2211yescharacteristic, complemented
181#64941C2211yescharacteristic, complemented
182#64941C2211yescharacteristic, complemented
183#64941C2211yescharacteristic, complemented
184#64938C2211yescharacteristic, complemented
185#64938C2211yescharacteristic, complemented
186#64937C2211yescharacteristic, complemented
187#64935C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#34732—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C23×Dic5C2311yescharacteristic
206C23×Dic5C2311yescharacteristic
207C23×Dic5C2311yescharacteristic
208C23×Dic5C2311yescharacteristic
209C2×#711—24no—
210C2×#711—24no—
211C2×#711—24no—
212C2×#711—24no—
213C2×#711—24no—
214C2×#711—42no—
215C22×D20C2311yescharacteristic
216C22×D20C2311yescharacteristic
217C22×C4×D5—24no—
218C22×C4×D5—24no—
219C22×C4×D5—42no—
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C22×C4×D5C2311yescharacteristic
223C22×C4×D5C2311yescharacteristic
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×C4×D5C2311yescharacteristic
227C22×C4×D5C2311yescharacteristic
228C22×C4×D5C2311yescharacteristic
229C22×Dic10C2311yescharacteristic
230C22×Dic10C2311yescharacteristic
231C5×#123—24no—
232C4×C5×D4—24no—
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C5×C22⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C42×C5C2311yescharacteristic
251C2×C42×C5C2311yescharacteristic
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
263#4083—24no—
264#4083—24no—
265D4×Dic5—24no—
266D4×Dic5—24no—
267#4076—24no—
268#4075—24no—
269#4075—24no—
270C4×C22⋊D5—24no—
271C4×C22⋊D5—24no—
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
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×C4⋊Dic5C2311yescharacteristic
296C2×C4⋊Dic5C2311yescharacteristic
297C2×C4⋊Dic5C2311yescharacteristic
298C2×C4⋊Dic5C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×#683C2311yescharacteristic
301C2×#683C2311yescharacteristic
302C2×#683C2311yescharacteristic
303C2×#683C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×C4×Dic5—24no—
315C2×C4×Dic5—24no—
316C2×C4×Dic5C2311yescharacteristic
317C2×C4×Dic5C2311yescharacteristic
318C2×C4×Dic5C2311yescharacteristic
319C2×C4×Dic5C2311yescharacteristic
320C2×C4×Dic5C2311yescharacteristic
321C2×C4×Dic5C2311yescharacteristic
322C2×C4×Dic5C2311yescharacteristic
323C2×C4×Dic5C2311yescharacteristic
324C2×C4×Dic5C2311yescharacteristic
325C2×C4×Dic5C2311yescharacteristic
326C2×C4×Dic5C2311yescharacteristic
327C2×C4×Dic5C2311yescharacteristic
328C2×C4×Dic5C2311yescharacteristic
329C2×C4×Dic5C2311yescharacteristic
330C2×C4×Dic5C2311yescharacteristic
331#4042—24no—
332#4042—24no—
333#4040—24no—
334#4039—24no—
335#4039—24no—
336#4038—24no—
337#4033—24no—
338#4030—24no—
339#4030—24no—
340#4030—24no—
341#4028—24no—
342#4027—24no—
343#4027—24no—
344#4027—42no—
345#4027—42no—
346#4027D418yescomplemented
347D5×C22⋊C4—24no—
348D5×C22⋊C4—24no—
349#4023—24no—
350#4023—24no—
351#4023—24no—
352#4023—42no—
353C42×D5—24no—
354C42×D5—42no—
355C4×Dic10—24no—
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364C5×#95C2311yescharacteristic
365C5×#95C2311yescharacteristic
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
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392C2×#525—51no—
393C2×C4×#41—51no—
394#2477—51no—
395#2476—51no—
396#2471—51no—
397#2470—51no—
398#2465—51no—
399#2464—51no—
400#2458—51no—
401#2457D511yescharacteristic, complemented
402#2450—51no—
403#2444—51no—
404#2438—51no—
405#2430—51no—
406#2424—51no—
407#2418—51no—
408#2411—51no—
409#2404—51no—
410#2398—51no—
411#2396—51no—
412#2392—51no—
413#2388—51no—
414C4×#123—51no—
415C4×#123—51no—
416C4×#121—51no—
417C4×#121—51no—
418C4×#120—51no—
419#2297—51no—
420#2290—51no—
421#2290—51no—
422C2×C4×C22⋊C4—51no—
423C24×C5C2411yescharacteristic
424C24×C5C2411yescharacteristic
425C24×C5C2411yescharacteristic
426C23×D5—22no—
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—22no—
430C23×D5—22no—
431C23×D5—41no—
432C23×D5—41no—
433C23×D5C2411yescharacteristic
434C23×D5C2411yescharacteristic
435C23×D5C2411yescharacteristic
436C2×C5×D4—22no—
437C2×C5×D4—22no—
438C2×C5×D4—22no—
439C2×C5×D4—22no—
440C2×C5×D4—22no—
441C2×C5×D4—22no—
442C2×C5×D4—22no—
443C2×C5×D4—41no—
444C2×C5×D4—41no—
445C22×C4×C5—22no—
446C22×C4×C5—22no—
447C22×C4×C5—22no—
448C22×C4×C5—22no—
449C22×C4×C5—22no—
450C22×C4×C5—22no—
451C22×C4×C5—41no—
452C22×C4×C5—41no—
453C22×C4×C5—41no—
454C22×C4×C5C2411yescharacteristic
455C22×C4×C5C2411yescharacteristic
456C22×C4×C5C2411yescharacteristic
457C22×C4×C5C2411yescharacteristic
458C22×C4×C5C2411yescharacteristic
459C22×C4×C5C2411yescharacteristic
460C22×C4×C5C2411yescharacteristic
461C22×C4×C5C2411yescharacteristic
462C22×C4×C5C2411yescharacteristic
463C22×C4×C5C2411yescharacteristic
464C22×C4×C5C2411yescharacteristic
465C22×C4×C5C2411yescharacteristic
466C2×C22⋊D5—22no—
467C2×C22⋊D5—22no—
468C2×C22⋊D5—22no—
469C2×C22⋊D5—22no—
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—22no—
478C2×C22⋊D5—22no—
479C2×C22⋊D5—22no—
480C2×C22⋊D5—41no—
481C2×C22⋊D5—41no—
482C2×C22⋊D5—41no—
483C2×C22⋊D5—41no—
484C2×C22⋊D5—41no—
485C2×C22⋊D5C2×D414yes—
486C2×C22⋊D5#4114yescomplemented
487C22×Dic5—22no—
488C22×Dic5—22no—
489C22×Dic5—22no—
490C22×Dic5—22no—
491C22×Dic5—22no—
492C22×Dic5—22no—
493C22×Dic5—22no—
494C22×Dic5—22no—
495C22×Dic5—22no—
496C22×Dic5—22no—
497C22×Dic5—22no—
498C22×Dic5—22no—
499C22×Dic5—22no—
500C22×Dic5C2×D414yes—
501C22×Dic5#4114yescomplemented
502C22×Dic5C2411yescharacteristic
503C22×Dic5C2411yescharacteristic
504C22×Dic5C2411yescharacteristic
505C22×Dic5C2411yescharacteristic
506C22×Dic5C2411yescharacteristic
507C22×Dic5C2411yescharacteristic
508C22×Dic5C2411yescharacteristic
509C22×Dic5C2411yescharacteristic
510C22×Dic5C2411yescharacteristic
511C22×Dic5C2411yescharacteristic
512C22×Dic5C2411yescharacteristic
513C22×Dic5C2411yescharacteristic
514C22×Dic5C2411yescharacteristic
515#711—232no—
516#711—416no—
517C2×D20—22no—
518C2×D20—22no—
519C2×D20—22no—
520C2×D20—22no—
521C2×D20—22no—
522C2×D20—41no—
523C2×C4×D5—22no—
524C2×C4×D5—22no—
525C2×C4×D5—22no—
526C2×C4×D5—22no—
527C2×C4×D5—22no—
528C2×C4×D5—22no—
529C2×C4×D5—22no—
530C2×C4×D5—22no—
531C2×C4×D5—22no—
532C2×C4×D5—22no—
533C2×C4×D5—22no—
534C2×C4×D5—22no—
535C2×C4×D5—22no—
536C2×C4×D5—22no—
537C2×C4×D5—22no—
538C2×C4×D5—22no—
539C2×C4×D5—22no—
540C2×C4×D5—22no—
541C2×C4×D5—22no—
542C2×C4×D5—416no—
543C2×C4×D5—41no—
544C2×C4×D5—41no—
545C2×C4×D5—41no—
546C2×C4×D5—41no—
547C2×C4×D5—41no—
548C2×C4×D5—41no—
549C2×C4×D5C2×D414yes—
550C2×C4×D5#4114yescomplemented
551C2×Dic10—22no—
552C2×Dic10—22no—
553C2×Dic10—22no—
554C2×Dic10—22no—
555C2×Dic10—22no—
556C2×Dic10—41no—
557C5×C4⋊C4—22no—
558C5×C4⋊C4—22no—
559C5×C4⋊C4—22no—
560C5×C4⋊C4—22no—
561C5×C4⋊C4—41no—
562C5×C22⋊C4—22no—
563C5×C22⋊C4—22no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C5×C22⋊C4—22no—
567C5×C22⋊C4—22no—
568C5×C22⋊C4—41no—
569C5×C22⋊C4—41no—
570C5×C22⋊C4—41no—
571C5×C22⋊C4—41no—
572C5×C22⋊C4—41no—
573C5×C22⋊C4C2×D414yes—
574C42×C5—22no—
575C42×C5—41no—
576C22⋊Dic5—22no—
577C22⋊Dic5—22no—
578C22⋊Dic5—22no—
579C22⋊Dic5—22no—
580C22⋊Dic5—22no—
581C22⋊Dic5—22no—
582C22⋊Dic5—22no—
583C22⋊Dic5—22no—
584C22⋊Dic5—22no—
585C22⋊Dic5—41no—
586C22⋊Dic5—41no—
587#685—22no—
588#685—22no—
589#685—22no—
590#685—22no—
591#685—22no—
592#685—22no—
593#685—22no—
594#685—22no—
595#685—22no—
596#685—22no—
597#685—22no—
598#685—22no—
599#685—22no—
600#685—22no—
601#685—22no—
602#685—22no—
603#685—22no—
604#685—41no—
605#685—41no—
606#685—41no—
607#685—41no—
608#685C2×D414yes—
609#685#4114yescomplemented
610C4⋊Dic5—22no—
611C4⋊Dic5—22no—
612C4⋊Dic5—22no—
613C4⋊Dic5—41no—
614#683—22no—
615#683—22no—
616#683—22no—
617#683—22no—
618#683—22no—
619#683—22no—
620#683—22no—
621#683—22no—
622#683—22no—
623#683—22no—
624#683—41no—
625#683—41no—
626#683—41no—
627#683—41no—
628#683C2×D414yes—
629C4×Dic5—22no—
630C4×Dic5—22no—
631C4×Dic5—22no—
632C4×Dic5—22no—
633C4×Dic5—22no—
634C4×Dic5—22no—
635C4×Dic5—22no—
636C4×Dic5—22no—
637C4×Dic5—22no—
638C4×Dic5—22no—
639C4×Dic5—22no—
640C4×Dic5—22no—
641C4×Dic5—22no—
642C4×Dic5—41no—
643C4×Dic5C2×D414yes—
644C22×#41—51no—
645C22×#41—51no—
646C24×C4—51no—
647#525—108no—
648C2×#123—51no—
649C2×#123—51no—
650C2×#123—51no—
651C2×#123C2×D511yescharacteristic
652C2×C22⋊Q8—51no—
653C2×C22⋊Q8—51no—
654C2×#121—51no—
655C2×#121—51no—
656C2×#121—51no—
657C2×#121—51no—
658C2×#120—51no—
659C2×#120—51no—
660C2×#120—51no—
661C4×#41—108no—
662C2×C4×Q8—51no—
663C2×C4×Q8—51no—
664C2×C4×D4—51no—
665C2×C4×D4—51no—
666C2×C4×D4—51no—
667C2×C4×D4—51no—
668C2×C4×D4—51no—
669C2×C4×D4—51no—
670C2×C4×D4—51no—
671C2×C4×D4—51no—
672C2×C4×D4—51no—
673C2×C4×D4—51no—
674C2×C4×D4—51no—
675C2×C4×D4C2×D511yescharacteristic, complemented
676C2×#117—51no—
677C2×#117—51no—
678C2×#117—51no—
679C2×#117—51no—
680C2×#117—51no—
681C22×C22⋊C4—51no—
682C22×C22⋊C4—51no—
683C22×C42—51no—
684C22×C42—51no—
685C22×C42—51no—
686C22×C42—51no—
687#400—51no—
688#400—51no—
689#400C2×D511yescharacteristic, complemented
690#399—51no—
691#398—51no—
692#398—51no—
693#398—51no—
694#397—51no—
695#397—51no—
696#397—51no—
697#396—51no—
698#396—51no—
699#396—51no—
700#396C2×D511yescharacteristic
701#395—51no—
702#395—51no—
703#394—51no—
704#394—51no—
705#394—51no—
706#394—51no—
707#394—51no—
708#394—51no—
709#394—51no—
710#394C2×D511yescharacteristic, complemented
711#393—51no—
712#393—51no—
713#393—51no—
714#393—51no—
715#392—51no—
716#392—51no—
717#392—51no—
718#392C2×D511yescharacteristic
719#391—51no—
720#391—51no—
721#390—51no—
722#390—51no—
723#390—51no—
724#390—51no—
725#389—51no—
726#389—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#388C2×D511yescharacteristic, complemented
738#388C2×D511yescharacteristic, complemented
739#387—51no—
740#387—51no—
741#387—51no—
742#387—51no—
743#387—51no—
744#387—51no—
745#387—51no—
746#387C2×D511yescharacteristic, complemented
747#386—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#386—51no—
759#386—51no—
760#386—51no—
761#386C2×D511yescharacteristic
762#386C2×D511yescharacteristic
763#386C2×D511yescharacteristic
764#385—51no—
765#385—51no—
766#385—51no—
767#385—51no—
768#385—51no—
769#385—51no—
770#385—51no—
771#385—51no—
772#385—51no—
773#381—51no—
774#381C2×D511yescharacteristic, complemented
775#380—51no—
776#380C2×D511yescharacteristic, complemented
777#379—51no—
778C4×C4⋊C4—51no—
779C4×C4⋊C4—51no—
780C4×C4⋊C4—51no—
781C4×C4⋊C4—51no—
782C4×C22⋊C4—51no—
783C4×C22⋊C4—51no—
784C4×C22⋊C4—51no—
785C4×C22⋊C4—51no—
786C4×C22⋊C4—51no—
787C4×C22⋊C4—51no—
788C4×C22⋊C4—51no—
789C4×C22⋊C4—51no—
790C4×C22⋊C4—51no—
791C4×C22⋊C4—51no—
792C4×C22⋊C4—51no—
793C4×C22⋊C4—51no—
794C4×C22⋊C4—51no—
795C4×C22⋊C4—51no—
796C4×C22⋊C4—51no—
797C4×C22⋊C4C2×D511yescharacteristic
798#376—51no—
799C2×#95—51no—
800C2×#95—51no—
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—21no—
816C23×C5—21no—
817C23×C5—21no—
818C23×C5—21no—
819C23×C5C22×D412yes—
820C23×C5C2×#4112yes—
821C23×C5C2×#4112yes—
822C23×C5C2511yescharacteristic
823C22×D5—21no—
824C22×D5—21no—
825C22×D5—21no—
826C22×D5—21no—
827C22×D5—28no—
828C22×D5—21no—
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—21no—
834C22×D5—21no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—21no—
841C22×D5—44no—
842C22×D5—44no—
843C22×D5—44no—
844C22×D5—44no—
845C22×D5—44no—
846C22×D5—44no—
847C22×D5C22×D412yes—
848C22×D5C2×#4112yes—
849C22×D5C2×#4112yes—
850C22×D5C2×#4112yes—
851C5×D4—28no—
852C5×D4—44no—
853C5×D4—44no—
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—21no—
868C2×C4×C5—21no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—21no—
872C2×C4×C5—21no—
873C2×C4×C5—21no—
874C2×C4×C5—21no—
875C2×C4×C5—21no—
876C2×C4×C5—21no—
877C2×C4×C5—21no—
878C2×C4×C5—21no—
879C2×C4×C5—21no—
880C2×C4×C5—21no—
881C2×C4×C5—21no—
882C2×C4×C5—21no—
883C2×C4×C5—21no—
884C2×C4×C5—21no—
885C2×C4×C5—21no—
886C2×C4×C5—44no—
887C2×C4×C5—44no—
888C2×C4×C5—44no—
889C2×C4×C5C22×D412yes—
890C2×C4×C5C22×D412yes—
891C2×C4×C5C2×#4112yes—
892C2×C4×C5C2×#4112yes—
893C22⋊D5—28no—
894C22⋊D5—28no—
895C22⋊D5—44no—
896C22⋊D5—44no—
897C22⋊D5—44no—
898C22⋊D5—44no—
899C22⋊D5—44no—
900C2×Dic5—28no—
901C2×Dic5—28no—
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—28no—
915C2×Dic5—28no—
916C2×Dic5—21no—
917C2×Dic5—21no—
918C2×Dic5—21no—
919C2×Dic5—21no—
920C2×Dic5—21no—
921C2×Dic5—21no—
922C2×Dic5—21no—
923C2×Dic5—21no—
924C2×Dic5—21no—
925C2×Dic5—21no—
926C2×Dic5—21no—
927C2×Dic5—21no—
928C2×Dic5—21no—
929C2×Dic5—21no—
930C2×Dic5—21no—
931C2×Dic5—21no—
932C2×Dic5—21no—
933C2×Dic5—21no—
934C2×Dic5—44no—
935C2×Dic5C22×D412yes—
936C2×Dic5C22×D412yes—
937C2×Dic5C22×D412yes—
938C2×Dic5C2×#4112yes—
939C2×Dic5C2×#4112yes—
940C2×Dic5C2×#4112yes—
941C2×Dic5C2×#4112yes—
942C2×Dic5C2×#4112yes—
943C2×Dic5H(5,𝔽2)12yes—
944D20—44no—
945D20—44no—
946C4×D5—28no—
947C4×D5—28no—
948C4×D5—44no—
949C4×D5—44no—
950C4×D5—44no—
951C4×D5—44no—
952C4×D5—44no—
953C4×D5—44no—
954C4×D5—44no—
955Dic10—28no—
956Dic10—44no—
957C25—51no—
958C2×#41—104no—
959C2×#41—104no—
960C2×#41—104no—
961C2×#41—104no—
962C2×#41—104no—
963C2×#41—202no—
964C22×Q8—51no—
965C22×Q8—51no—
966C22×D4—51no—
967C22×D4—51no—
968C22×D4—51no—
969C22×D4—51no—
970C22×D4—51no—
971C22×D4—51no—
972C22×D4—51no—
973C22×D4—51no—
974C22×D4—51no—
975C22×D4C22×D511yescharacteristic
976C22×D4C22×D511yescharacteristic
977C22×D4C22×D511yescharacteristic
978C23×C4—51no—
979C23×C4—51no—
980C23×C4—51no—
981C23×C4—51no—
982C23×C4—51no—
983C23×C4—51no—
984C23×C4—51no—
985C23×C4—51no—
986C23×C4—51no—
987C23×C4—51no—
988C23×C4—51no—
989C23×C4—51no—
990C23×C4—51no—
991C23×C4—51no—
992C23×C4—104no—
993C23×C4—104no—
994C23×C4—202no—
995C23×C4C22×D511yescharacteristic
996C23×C4C22×D511yescharacteristic
997C23×C4C22×D511yescharacteristic
998#123—24no—
999#123—104no—
1000#123—104no—
1001#123—104no—
1002C22⋊Q8—104no—
1003C22⋊Q8—104no—
1004#121—104no—
1005#121—104no—
1006#121—104no—
1007#121—104no—
1008#120—104no—
1009#120—104no—
1010#120—104no—
1011C4×Q8—104no—
1012C4×Q8—104no—
1013C4×D4—24no—
1014C4×D4—58no—
1015C4×D4—104no—
1016C4×D4—104no—
1017C4×D4—104no—
1018C4×D4—104no—
1019C4×D4—104no—
1020C4×D4—104no—
1021C4×D4—104no—
1022C4×D4—104no—
1023C4×D4—202no—
1024C4×D4—202no—
1025#117—104no—
1026#117—104no—
1027#117—104no—
1028#117—104no—
1029#117—202no—
1030C2×C4⋊C4—51no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—51no—
1033C2×C4⋊C4—51no—
1034C2×C4⋊C4—51no—
1035C2×C4⋊C4—51no—
1036C2×C4⋊C4—51no—
1037C2×C4⋊C4—51no—
1038C2×C4⋊C4—51no—
1039C2×C4⋊C4—51no—
1040C2×C4⋊C4—51no—
1041C2×C4⋊C4—51no—
1042C2×C4⋊C4—51no—
1043C2×C4⋊C4—51no—
1044C2×C4⋊C4—51no—
1045C2×C4⋊C4—51no—
1046C2×C4⋊C4—51no—
1047C2×C4⋊C4—51no—
1048C2×C4⋊C4—51no—
1049C2×C4⋊C4C22×D511yescharacteristic
1050C2×C4⋊C4C22×D511yescharacteristic
1051C2×C4⋊C4C22×D511yescharacteristic
1052C2×C4⋊C4C22×D511yescharacteristic
1053C2×C4⋊C4C22×D511yescharacteristic
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—51no—
1065C2×C22⋊C4—51no—
1066C2×C22⋊C4—51no—
1067C2×C22⋊C4—51no—
1068C2×C22⋊C4—51no—
1069C2×C22⋊C4—51no—
1070C2×C22⋊C4—51no—
1071C2×C22⋊C4—51no—
1072C2×C22⋊C4—51no—
1073C2×C22⋊C4—51no—
1074C2×C22⋊C4—51no—
1075C2×C22⋊C4—51no—
1076C2×C22⋊C4—51no—
1077C2×C22⋊C4—51no—
1078C2×C22⋊C4—51no—
1079C2×C22⋊C4—51no—
1080C2×C22⋊C4—51no—
1081C2×C22⋊C4—51no—
1082C2×C22⋊C4—51no—
1083C2×C22⋊C4—51no—
1084C2×C22⋊C4—51no—
1085C2×C22⋊C4—51no—
1086C2×C22⋊C4—51no—
1087C2×C22⋊C4—51no—
1088C2×C22⋊C4—104no—
1089C2×C22⋊C4—104no—
1090C2×C22⋊C4C22×D511yescharacteristic
1091C2×C22⋊C4C22×D511yescharacteristic
1092C2×C22⋊C4C22×D511yescharacteristic
1093C2×C22⋊C4C22×D511yescharacteristic
1094C2×C22⋊C4C22×D511yescharacteristic
1095C2×C22⋊C4C22×D511yescharacteristic
1096C2×C22⋊C4C22×D511yescharacteristic
1097C2×C22⋊C4C22×D511yescharacteristic
1098C2×C22⋊C4C22×D511yescharacteristic
1099C2×C22⋊C4C22×D511yescharacteristic
1100C2×C22⋊C4C22×D511yescharacteristic
1101C2×C22⋊C4C22×D511yescharacteristic
1102C2×C42—51no—
1103C2×C42—51no—
1104C2×C42—51no—
1105C2×C42—51no—
1106C2×C42—51no—
1107C2×C42—51no—
1108C2×C42—51no—
1109C2×C42—51no—
1110C2×C42—51no—
1111C2×C42—51no—
1112C2×C42—51no—
1113C2×C42—51no—
1114C2×C42—51no—
1115C2×C42—51no—
1116C2×C42—51no—
1117C2×C42—104no—
1118C2×C42—104no—
1119C2×C42—104no—
1120C2×C42—202no—
1121C2×C42C22×D511yescharacteristic
1122C2×C42C22×D511yescharacteristic
1123#95—51no—
1124#95—51no—
1125#95—51no—
1126#95—51no—
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130#95—51no—
1131#95—51no—
1132#95—51no—
1133#95—51no—
1134#95—51no—
1135#95—51no—
1136#95—51no—
1137#95—51no—
1138#95—51no—
1139#95—51no—
1140#95—51no—
1141#95—51no—
1142#95—51no—
1143#95—51no—
1144#95—51no—
1145#95—51no—
1146#95—51no—
1147#95—51no—
1148#95—51no—
1149#95C22×D511yescharacteristic
1150#95C22×D511yescharacteristic
1151#95C22×D511yescharacteristic
1152#95C22×D511yescharacteristic
1153#95C22×D511yescharacteristic
1154#95C22×D511yescharacteristic
1155#95C22×D511yescharacteristic
1156#95C22×D511yescharacteristic
1157#95C22×D511yescharacteristic
1158#95C22×D511yescharacteristic
1159C22×C5—22no—
1160C22×C5—22no—
1161C22×C5—22no—
1162C22×C5—22no—
1163C22×C5—22no—
1164C22×C5—22no—
1165C22×C5—22no—
1166C22×C5—22no—
1167C22×C5—22no—
1168C22×C5—41no—
1169C22×C5—41no—
1170C22×C5—41no—
1171C22×C5—41no—
1172C22×C5—41no—
1173C22×C5—41no—
1174C22×C5—41no—
1175C22×C5—41no—
1176C22×C5—41no—
1177C22×C5—41no—
1178C22×C5—41no—
1179C22×C5—41no—
1180C22×C5C23×D411yescharacteristic
1181C22×C5C22×#4111yescharacteristic
1182C22×C5C22×#4111yescharacteristic
1183C22×C5C22×#4111yescharacteristic
1184C22×C5C22×#4111yescharacteristic
1185C22×C5C2×H(5,𝔽2)11yescharacteristic
1186C22×C5#58511yescharacteristic
1187C2×D5—22no—
1188C2×D5—22no—
1189C2×D5—22no—
1190C2×D5—22no—
1191C2×D5—22no—
1192C2×D5—22no—
1193C2×D5—22no—
1194C2×D5—22no—
1195C2×D5—22no—
1196C2×D5—416no—
1197C2×D5—41no—
1198C2×D5—41no—
1199C2×D5—41no—
1200C2×D5—41no—
1201C2×D5—41no—
1202C2×D5—41no—
1203C2×D5—41no—
1204C2×D5—41no—
1205C2×D5—41no—
1206C2×D5—41no—
1207C2×D5—41no—
1208C2×D5#52514yes—
1209C4×C5—22no—
1210C4×C5—22no—
1211C4×C5—22no—
1212C4×C5—22no—
1213C4×C5—41no—
1214C4×C5—41no—
1215C4×C5—41no—
1216C4×C5—41no—
1217C4×C5—41no—
1218C4×C5—41no—
1219C4×C5—41no—
1220C4×C5—41no—
1221Dic5—22no—
1222Dic5—22no—
1223Dic5—22no—
1224Dic5—22no—
1225Dic5—22no—
1226Dic5—22no—
1227Dic5—41no—
1228Dic5—41no—
1229Dic5—41no—
1230Dic5—41no—
1231Dic5—41no—
1232Dic5—41no—
1233Dic5#54614yes—
1234C24—51no—
1235C24—51no—
1236C24—51no—
1237C24—102no—
1238C24—102no—
1239C24—102no—
1240C24—102no—
1241C24—102no—
1242C24—201no—
1243C24—201no—
1244C24C23×D511yescharacteristic
1245C24C23×D511yescharacteristic
1246C24C23×D511yescharacteristic
1247#41—1032no—
1248#41—2016no—
1249C2×Q8—102no—
1250C2×Q8—102no—
1251C2×Q8—102no—
1252C2×Q8—102no—
1253C2×Q8—102no—
1254C2×Q8—201no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—54no—
1265C2×D4—54no—
1266C2×D4—102no—
1267C2×D4—102no—
1268C2×D4—102no—
1269C2×D4—102no—
1270C2×D4—102no—
1271C2×D4—102no—
1272C2×D4—102no—
1273C2×D4—102no—
1274C2×D4—102no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—102no—
1278C2×D4—102no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—102no—
1282C2×D4—102no—
1283C2×D4—102no—
1284C2×D4—102no—
1285C2×D4—201no—
1286C2×D4—201no—
1287C2×D4—201no—
1288C2×D4—201no—
1289C2×D4—201no—
1290C2×D4—201no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—51no—
1301C22×C4—54no—
1302C22×C4—54no—
1303C22×C4—51no—
1304C22×C4—51no—
1305C22×C4—51no—
1306C22×C4—51no—
1307C22×C4—51no—
1308C22×C4—51no—
1309C22×C4—54no—
1310C22×C4—54no—
1311C22×C4—51no—
1312C22×C4—51no—
1313C22×C4—51no—
1314C22×C4—51no—
1315C22×C4—51no—
1316C22×C4—51no—
1317C22×C4—102no—
1318C22×C4—102no—
1319C22×C4—102no—
1320C22×C4—102no—
1321C22×C4—102no—
1322C22×C4—102no—
1323C22×C4—102no—
1324C22×C4—102no—
1325C22×C4—102no—
1326C22×C4—102no—
1327C22×C4—102no—
1328C22×C4—102no—
1329C22×C4—102no—
1330C22×C4—102no—
1331C22×C4—102no—
1332C22×C4—102no—
1333C22×C4—102no—
1334C22×C4—102no—
1335C22×C4—102no—
1336C22×C4—102no—
1337C22×C4—102no—
1338C22×C4—102no—
1339C22×C4—102no—
1340C22×C4—102no—
1341C22×C4—102no—
1342C22×C4—102no—
1343C22×C4—102no—
1344C22×C4—102no—
1345C22×C4—102no—
1346C22×C4—102no—
1347C22×C4—102no—
1348C22×C4—102no—
1349C22×C4—201no—
1350C22×C4—201no—
1351C22×C4—201no—
1352C22×C4—201no—
1353C22×C4—201no—
1354C22×C4—201no—
1355C22×C4—2016no—
1356C22×C4C23×D511yescharacteristic
1357C22×C4C23×D511yescharacteristic
1358C22×C4C23×D511yescharacteristic
1359C22×C4C23×D511yescharacteristic
1360C22×C4C23×D511yescharacteristic
1361C22×C4C23×D511yescharacteristic
1362C22×C4C23×D511yescharacteristic
1363C22×C4C23×D511yescharacteristic
1364C22×C4C23×D511yescharacteristic
1365C22×C4C23×D511yescharacteristic
1366C22×C4C23×D511yescharacteristic
1367C22×C4C23×D511yescharacteristic
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—41no—
1373C4⋊C4—54no—
1374C4⋊C4—102no—
1375C4⋊C4—102no—
1376C4⋊C4—102no—
1377C4⋊C4—102no—
1378C4⋊C4—102no—
1379C4⋊C4—102no—
1380C4⋊C4—102no—
1381C4⋊C4—102no—
1382C4⋊C4—102no—
1383C4⋊C4—102no—
1384C4⋊C4—102no—
1385C4⋊C4—102no—
1386C4⋊C4—102no—
1387C4⋊C4—201no—
1388C4⋊C4—201no—
1389C4⋊C4—201no—
1390C4⋊C4—201no—
1391C4⋊C4—201no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—54no—
1404C22⋊C4—54no—
1405C22⋊C4—102no—
1406C22⋊C4—102no—
1407C22⋊C4—102no—
1408C22⋊C4—102no—
1409C22⋊C4—102no—
1410C22⋊C4—102no—
1411C22⋊C4—102no—
1412C22⋊C4—102no—
1413C22⋊C4—102no—
1414C22⋊C4—102no—
1415C22⋊C4—102no—
1416C22⋊C4—102no—
1417C22⋊C4—102no—
1418C22⋊C4—102no—
1419C22⋊C4—102no—
1420C22⋊C4—102no—
1421C22⋊C4—102no—
1422C22⋊C4—102no—
1423C22⋊C4—102no—
1424C22⋊C4—102no—
1425C22⋊C4—102no—
1426C22⋊C4—102no—
1427C22⋊C4—102no—
1428C22⋊C4—102no—
1429C22⋊C4—102no—
1430C22⋊C4—102no—
1431C22⋊C4—201no—
1432C22⋊C4—201no—
1433C22⋊C4—201no—
1434C22⋊C4—201no—
1435C22⋊C4—201no—
1436C22⋊C4—201no—
1437C22⋊C4D4×D514yes—
1438C42—22no—
1439C42—41no—
1440C42—54no—
1441C42—102no—
1442C42—102no—
1443C42—102no—
1444C42—102no—
1445C42—102no—
1446C42—102no—
1447C42—102no—
1448C42—102no—
1449C42—102no—
1450C42—102no—
1451C42—102no—
1452C42—102no—
1453C42—102no—
1454C42—201no—
1455C2×C5—42no—
1456C2×C5—42no—
1457C2×C5—42no—
1458C2×C5C2×#52511yescharacteristic
1459C2×C5#344411yescharacteristic
1460C2×C5#346011yescharacteristic
1461C2×C5C2×#54611yescharacteristic
1462C2×C5D4×#4111yescharacteristic
1463C2×C5#347511yescharacteristic
1464C2×C5#348111yescharacteristic
1465D5—24no—
1466D5—42no—
1467D5—81no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—52no—
1487C23—52no—
1488C23—52no—
1489C23—52no—
1490C23—108no—
1491C23—101no—
1492C23—101no—
1493C23—101no—
1494C23—101no—
1495C23—101no—
1496C23—101no—
1497C23—101no—
1498C23—101no—
1499C23—101no—
1500C23—101no—
1501C23—101no—
1502C23—101no—
1503C23—101no—
1504C23—101no—
1505C23—101no—
1506C23—101no—
1507C23—101no—
1508C23—204no—
1509C23—204no—
1510C23—204no—
1511C23—204no—
1512C23—204no—
1513C23—204no—
1514C23C2×D4×D512yes—
1515C23D5×#4112yes—
1516C23D5×#4112yes—
1517C23C24×D511yescharacteristic
1518Q8—108no—
1519Q8—204no—
1520D4—28no—
1521D4—44no—
1522D4—44no—
1523D4—108no—
1524D4—108no—
1525D4—204no—
1526D4—204no—
1527D4—204no—
1528D4—204no—
1529D4—204no—
1530D4—204no—
1531D4—204no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—52no—
1568C2×C4—52no—
1569C2×C4—52no—
1570C2×C4—52no—
1571C2×C4—52no—
1572C2×C4—52no—
1573C2×C4—52no—
1574C2×C4—52no—
1575C2×C4—52no—
1576C2×C4—108no—
1577C2×C4—108no—
1578C2×C4—108no—
1579C2×C4—108no—
1580C2×C4—108no—
1581C2×C4—108no—
1582C2×C4—101no—
1583C2×C4—101no—
1584C2×C4—101no—
1585C2×C4—101no—
1586C2×C4—101no—
1587C2×C4—101no—
1588C2×C4—101no—
1589C2×C4—101no—
1590C2×C4—101no—
1591C2×C4—101no—
1592C2×C4—101no—
1593C2×C4—101no—
1594C2×C4—101no—
1595C2×C4—101no—
1596C2×C4—101no—
1597C2×C4—101no—
1598C2×C4—101no—
1599C2×C4—101no—
1600C2×C4—101no—
1601C2×C4—101no—
1602C2×C4—101no—
1603C2×C4—101no—
1604C2×C4—101no—
1605C2×C4—101no—
1606C2×C4—101no—
1607C2×C4—101no—
1608C2×C4—101no—
1609C2×C4—101no—
1610C2×C4—101no—
1611C2×C4—101no—
1612C2×C4—204no—
1613C2×C4—204no—
1614C2×C4—204no—
1615C2×C4—204no—
1616C2×C4—204no—
1617C2×C4—204no—
1618C2×C4—204no—
1619C2×C4—204no—
1620C2×C4C2×D4×D512yes—
1621C2×C4C2×D4×D512yes—
1622C2×C4D5×#4112yes—
1623C2×C4D5×#4112yes—
1624C5#3473211yescharacteristic, complemented, Sylow
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—54no—
1647C22—102no—
1648C22—102no—
1649C22—102no—
1650C22—102no—
1651C22—102no—
1652C22—102no—
1653C22—102no—
1654C22—102no—
1655C22—102no—
1656C22—2016no—
1657C22—201no—
1658C22—201no—
1659C22—201no—
1660C22—201no—
1661C22—201no—
1662C22—201no—
1663C22—201no—
1664C22—201no—
1665C22—201no—
1666C22—201no—
1667C22—201no—
1668C22C22×D4×D511yescharacteristic
1669C22C2×D5×#4111yescharacteristic
1670C22C2×D5×#4111yescharacteristic
1671C22C2×D5×#4111yescharacteristic
1672C22C2×D5×#4111yescharacteristic
1673C22D5×H(5,𝔽2)11yescharacteristic
1674C22#6628511yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—54no—
1688C4—102no—
1689C4—102no—
1690C4—102no—
1691C4—102no—
1692C4—102no—
1693C4—102no—
1694C4—201no—
1695C4—201no—
1696C4—201no—
1697C4—201no—
1698C4—201no—
1699C4—201no—
1700C2—42no—
1701C2—42no—
1702C2—42no—
1703C2—104no—
1704C2—202no—
1705C2—401no—
1706C2D5×#52511yescharacteristic
1707C2#1061802011yescharacteristic
1708C2#1061836911yescharacteristic
1709C2#1061852711yescharacteristic
1710C2D5×#54611yescharacteristic
1711C2#1061869111yescharacteristic
1712C2#1061877711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2457C2
hypercenter#2457D5
hypocenterC5#34732
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2457

Complements

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

NH ≅ G/Ntype
1. C2×#65990C2semidirect
2. C2×C4×#711C2semidirect
3. C5×#2457C2semidirect
4. #10614585C2semidirect
5. #10614144C2semidirect
6. #10610073C2semidirect
7. #10609862C2semidirect
8. #10609145C2semidirect
9. #10609013C2semidirect
10. #10608847C2semidirect
11. #10608621C2semidirect
12. #10608485C2semidirect
13. #10608396C2semidirect
14. #10607596C2semidirect
15. #10607594C2semidirect
16. #10607183C2semidirect
17. #10607180C2semidirect
18. #10607059C2semidirect
19. #10606671C2semidirect
20. #10606625C2semidirect
21. #10606623C2semidirect
22. #10606455C2semidirect
23. #10606390C2semidirect
24. #10606389C2semidirect
25. #10606388C2semidirect
26. #10605859C2semidirect
27. #10605783C2semidirect
28. #10605754C2semidirect
29. #10605596C2semidirect
30. C4×D5×C22⋊C4C2semidirect
31. #10605227C2semidirect
36. C2×C4×C5×D4C22semidirect
40. C2×D4×Dic5C22semidirect
46. C22×C4×Dic5C22semidirect
47. C22×C4×Dic5C22semidirect
56. C2×#4033C22semidirect
65. C2×#4027C22semidirect
69. C2×#4023C22semidirect
70. C2×#4023C22semidirect
71. C2×#4023C22semidirect
74. C2×C4×Dic10C22semidirect
75. C5×#400C22semidirect
77. C5×#394C22semidirect
79. C5×#388C22semidirect
80. C5×#388C22semidirect
81. C5×#387C22semidirect
85. C5×#381C22semidirect
86. C5×#380C22semidirect
90. #65512C22semidirect
94. #65502C22semidirect
96. #65499C22semidirect
102. #65273C22semidirect
103. #65272C22semidirect
104. #65271C22semidirect
105. #65268C22semidirect
106. #65267C22semidirect
107. C4⋊C4×Dic5C22semidirect
108. C4⋊C4×Dic5C22semidirect
109. #65262C22semidirect
110. #65261C22semidirect
113. #65250C22semidirect
117. #65247C22semidirect
118. #65247C22semidirect
121. #65246C22semidirect
128. #65241C22semidirect
129. #65240C22semidirect
132. #65237C22semidirect
134. #65236C22semidirect
135. #65235C22semidirect
136. #65235C22semidirect
142. C22⋊C4×Dic5C22semidirect
143. C22⋊C4×Dic5C22semidirect
144. #65229C22semidirect
145. #65229C22semidirect
148. #65222C22semidirect
150. #64964C22semidirect
152. #64962C22semidirect
154. #64959C22semidirect
158. #64958C22semidirect
168. #64955C22semidirect
169. #64955C22semidirect
170. #64955C22semidirect
176. #64947C22semidirect
177. #64946C22semidirect
178. #64945C22semidirect
179. #64943C22semidirect
180. #64942C22semidirect
181. #64941C22semidirect
182. #64941C22semidirect
183. #64941C22semidirect
184. #64938C22semidirect
185. #64938C22semidirect
186. #64937C22semidirect
187. #64935C22semidirect
188. #64935C22semidirect
346. #4027D4semidirect
401. #2457D5semidirect
486. C2×C22⋊D5#41semidirect
501. C22×Dic5#41semidirect
550. C2×C4×D5#41semidirect
609. #685#41semidirect
675. C2×C4×D4C2×D5semidirect
689. #400C2×D5semidirect
710. #394C2×D5semidirect
737. #388C2×D5semidirect
738. #388C2×D5semidirect
746. #387C2×D5semidirect
774. #381C2×D5semidirect
776. #380C2×D5semidirect
1624. C5#34732semidirect

Maximal subgroups

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

subgroupindex
C2×#659902
C2×C4×#7112
C5×#24572
#106145852
#106141442
#106100732
#106098622
#106091452
#106090132
#106088472
#106086212
#106084852
#106083962
#106075962
#106075942
#106071832
#106071802
#106070592
#106066712
#106066252
#106066232
#106064552
#106063902
#106063892
#106063882
#106058592
#106057832
#106057542
#106055962
C4×D5×C22⋊C42
#106052272
#347325