Finite Group Databasebeta

← C2×#10618394 #13006891

Subgroups — C2×#10618394 #13006891

Order 1280.

8814 conjugacy classes of subgroups.

The subgroup lattice has 1480 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#540C211yesmaximal, characteristic, complemented
2#10618394C2132yesmaximal, direct product factor
3C2×#66049C211yesmaximal, characteristic, complemented
4C2×D5×#127C211yesmaximal, characteristic, complemented
5C2×#66032C211yesmaximal, characteristic, complemented
6C2×#66025C211yesmaximal, characteristic, complemented
7C2×#66000C212yesmaximal, complemented
8C2×#65988C212yesmaximal, complemented
9C2×#65987C212yesmaximal, complemented
10C2×#65997C212yesmaximal, complemented
11C2×#65954C212yesmaximal, complemented
12C2×#65946C211yesmaximal, characteristic, complemented
13C2×#65943C212yesmaximal, complemented
14C2×#65943C211yesmaximal, characteristic, complemented
15C2×#65943C211yesmaximal, characteristic, complemented
16C2×#65941C212yesmaximal, complemented
17C2×#65939C212yesmaximal, complemented
18C2×#65933C211yesmaximal, characteristic, complemented
19C2×#65888C211yesmaximal, characteristic, complemented
20C2×D4×D20C211yesmaximal, characteristic, complemented
21C2×#65893C211yesmaximal, characteristic, complemented
22C2×#65887C211yesmaximal, characteristic, complemented
23C2×#65859C211yesmaximal, characteristic, complemented
24C2×#65862C211yesmaximal, characteristic, complemented
25C22×#711C2211yescharacteristic, complemented
26C22×D4×D5C2212yescomplemented
27C22×D4×D5C2212yescomplemented
28C22×D4×D5C2211yescharacteristic, complemented
29C22×D4×D5C2211yescharacteristic, complemented
30C22×D4×D5C2211yescharacteristic, complemented
31C22×D4×D5C2212yescomplemented
32C22×D4×D5C2212yescomplemented
33C22×#709C2211yescharacteristic, complemented
34C22×#709C2212yescomplemented
35C23×D20C2211yescharacteristic, complemented
36C23×D20C2212yescomplemented
37C5×#540C22116yescomplemented
38C2×C5×#127C2211yescharacteristic, complemented
39C2×C5×#125C2211yescharacteristic, complemented
40C2×C5×#123C2212yescomplemented
41C2×C5×#123C2212yescomplemented
42C2×C5×#121C2211yescharacteristic, complemented
43C2×C5×#121C2212yescomplemented
44C2×C5×#121C2211yescharacteristic, complemented
45C2×C5×#121C2212yescomplemented
46C2×C4×C5×D4C2211yescharacteristic, complemented
47C2×C4×C5×D4C2211yescharacteristic, complemented
48C2×C5×#117C2211yescharacteristic, complemented
49C2×#4086C2211yescharacteristic
50C2×#4086C2212yescomplemented
51C2×#4086C2211yescharacteristic, complemented
52C2×#4086C2211yescharacteristic, complemented
53C2×#4086C2212yescomplemented
54C2×#4086C2212yescomplemented
55C2×#4085C2212yescomplemented
56C2×#4085C2212yescomplemented
57C2×#4085C2212yescomplemented
58C2×#4084C2212yescomplemented
59C2×#4083C2212yescomplemented
60C2×#4083C2212yescomplemented
61C2×#4083C2212yescomplemented
62C2×#4083C2212yescomplemented
63C2×#4083C2212yescomplemented
64C2×#4082C2211yescharacteristic, complemented
65C2×#4076C2212yescomplemented
66C2×#4076C2212yescomplemented
67C2×#4076C2212yescomplemented
68C2×#4075C2212yescomplemented
69C2×C4×C22⋊D5C2211yescharacteristic, complemented
70C2×C4×C22⋊D5C2211yescharacteristic, complemented
71C2×C4×C22⋊D5C2212yescomplemented
72C22×#685C2212yescomplemented
73#66049C22116yescomplemented
74D5×#127C22116yescomplemented
75#66032C22116yescomplemented
76#66025C22116yescomplemented
77#66000C22132yescomplemented
78#65997C22132yescomplemented
79#65988C22132yescomplemented
80#65987C22132yescomplemented
81#65954C22132yescomplemented
82#65946C22116yescomplemented
83#65943C22132yescomplemented
84#65943C22116yescomplemented
85#65943C22116yescomplemented
86#65941C22132yescomplemented
87#65939C22132yescomplemented
88#65933C22116yescomplemented
89#65893C22116yescomplemented
90#65888C22116yescomplemented
91#65887C22116yescomplemented
92D4×D20C22116yescomplemented
93#65862C22116yescomplemented
94#65859C22116yescomplemented
95C2×#4044C2211yescharacteristic, complemented
96C2×#4044C2212yescomplemented
97C2×#4043C2211yescharacteristic, complemented
98C2×#4042C2211yescharacteristic, complemented
99C2×#4041C2211yescharacteristic
100C2×#4041C2212yescomplemented
101C2×#4041C2212yescomplemented
102C2×#4041C2212yescomplemented
103C2×#4041C2212yescomplemented
104C2×#4041C2211yescharacteristic, complemented
105C2×#4041C2211yescharacteristic, complemented
106C2×#4040C2211yescharacteristic, complemented
107C2×#4040C2212yescomplemented
108C2×#4040C2212yescomplemented
109C2×#4040C2212yescomplemented
110C2×#4039C2212yescomplemented
111C2×#4039C2211yescharacteristic, complemented
112C2×#4039C2211yescharacteristic, complemented
113C2×#4039C2211yescharacteristic, complemented
114C2×#4038C2212yescomplemented
115C2×#4035C2211yescharacteristic, complemented
116C2×#4033C2211yescharacteristic, complemented
117C2×#4032C2212yescomplemented
118C2×#4031C2211yescharacteristic, complemented
119C2×#4031C2212yescomplemented
120C2×#4030C2211yescharacteristic
121C2×#4030C2212yescomplemented
122C2×#4030C2212yescomplemented
123C2×#4030C2212yescomplemented
124C2×#4030C2212yescomplemented
125C2×#4030C2212yescomplemented
126C2×#4029C2211yescharacteristic, complemented
127C2×#4029C2212yescomplemented
128C2×#4029C2212yescomplemented
129C2×#4028C2212yescomplemented
130C2×#4028C2212yescomplemented
131C2×#4028C2212yescomplemented
132C2×#4028C2212yescomplemented
133C2×#4028C2212yescomplemented
134C2×#4028C2212yescomplemented
135C2×#4028C2212yescomplemented
136C2×#4027C2212yescomplemented
137C2×D5×C22⋊C4C2212yescomplemented
138C2×#4025C2211yescharacteristic, complemented
139C2×#4021C2211yescharacteristic, complemented
140C2×#4021C2211yescharacteristic, complemented
141C2×#4020C2211yescharacteristic, complemented
142C2×#4020C2211yescharacteristic, complemented
143C2×C4×D20C2211yescharacteristic, complemented
144C2×#4018C2211yescharacteristic, complemented
145C2×C42×D5C2211yescharacteristic, complemented
146C2×C4×Dic10C2211yescharacteristic, complemented
147C2×#3543—51nomaximal, Sylow
148C24×D5C2312yes—
149C24×D5C2312yes—
150C24×D5C2312yes—
151C24×D5C2312yes—
152C22×C5×D4C2311yescharacteristic
153C22×C5×D4C2311yescharacteristic
154C22×C5×D4C2312yes—
155C22×C5×D4C2312yes—
156C22×C5×D4C2312yes—
157C22×C5×D4C2312yes—
158C23×C4×C5C2311yescharacteristic
159C23×C4×C5C2312yes—
160C23×C4×C5C2312yes—
161C22×C22⋊D5C2312yes—
162C22×C22⋊D5C2311yescharacteristic
163C22×C22⋊D5C2311yescharacteristic
164C22×C22⋊D5C2312yes—
165C22×C22⋊D5C2312yes—
166C22×C22⋊D5C2312yes—
167C22×C22⋊D5C2312yes—
168C22×C22⋊D5C2312yes—
169C22×C22⋊D5C2312yes—
170C22×C22⋊D5C2312yes—
171C22×C22⋊D5C2312yes—
172C22×C22⋊D5C2312yes—
173C22×C22⋊D5C2312yes—
174C23×Dic5C2312yes—
175C2×#711—44no—
176C2×#711C2318yescomplemented
177C2×D4×D5—44no—
178C2×D4×D5—44no—
179C2×D4×D5—44no—
180C2×D4×D5—48no—
181C2×D4×D5—48no—
182C2×D4×D5—48no—
183C2×D4×D5—48no—
184C2×D4×D5C2318yescomplemented
185C2×D4×D5C2318yescomplemented
186C2×D4×D5C23116yescomplemented
187C2×D4×D5C23116yescomplemented
188C2×D4×D5C2318yescomplemented
189C2×D4×D5C23116yescomplemented
190C2×D4×D5C23116yescomplemented
191C2×#709—48no—
192C2×#709—44no—
193C2×#709C2318yescomplemented
194C2×#709C23116yescomplemented
195C22×D20—44no—
196C22×D20—48no—
197C22×D20C2311yescharacteristic
198C22×D20C2311yescharacteristic
199C22×D20C2311yescharacteristic
200C22×D20C2311yescharacteristic
201C22×D20C2312yes—
202C22×D20C2312yes—
203C22×D20C2312yes—
204C22×D20C2312yes—
205C22×D20C2312yes—
206C22×D20C2312yes—
207C22×D20C2312yes—
208C22×D20C2312yes—
209C22×D20C2318yescomplemented
210C22×D20C23116yescomplemented
211C22×C4×D5C2311yescharacteristic
212C22×C4×D5C2311yescharacteristic
213C22×C4×D5C2311yescharacteristic
214C22×C4×D5C2311yescharacteristic
215C22×C4×D5C2312yes—
216C22×C4×D5C2312yes—
217C22×C4×D5C2312yes—
218C22×C4×D5C2312yes—
219C22×Dic10C2311yescharacteristic
220C22×Dic10C2311yescharacteristic
221C5×#127C2318yescomplemented
222C5×#125C2318yescomplemented
223C5×#123C23116yescomplemented
224C5×#123C23116yescomplemented
225C5×#121C2318yescomplemented
226C5×#121C23116yescomplemented
227C5×#121C2318yescomplemented
228C5×#121C23116yescomplemented
229C4×C5×D4C2318yescomplemented
230C4×C5×D4C2318yescomplemented
231C5×#117C2318yescomplemented
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2312yes—
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2312yes—
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2312yes—
240C2×C5×C22⋊C4C2312yes—
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2312yes—
243C2×C5×C22⋊C4C2312yes—
244C2×C42×C5C2311yescharacteristic
245C2×C42×C5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247C2×C22⋊Dic5C2311yescharacteristic
248C2×C22⋊Dic5C2312yes—
249C2×C22⋊Dic5C2312yes—
250#4086C2318yes—
251#4086C2318yescomplemented
252#4086C23116yescomplemented
253#4086C23116yescomplemented
254#4086C2318yescomplemented
255#4086C23116yescomplemented
256#4085C23116yescomplemented
257#4085C23116yescomplemented
258#4085C23116yescomplemented
259#4084C23116yescomplemented
260#4083C23116yescomplemented
261#4083C23116yescomplemented
262#4083C23116yescomplemented
263#4083C23116yescomplemented
264#4083C23116yescomplemented
265#4082C2318yescomplemented
266#4076C23116yescomplemented
267#4076C23116yescomplemented
268#4076C23116yescomplemented
269#4075C23116yescomplemented
270C4×C22⋊D5C2318yescomplemented
271C4×C22⋊D5C2318yescomplemented
272C4×C22⋊D5C23116yescomplemented
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2312yes—
278C2×#685C2312yes—
279C2×#685C2312yes—
280C2×#685C2312yes—
281C2×#685C2311yescharacteristic
282C2×#685C2312yes—
283C2×#685C2312yes—
284C2×#685C2311yescharacteristic
285C2×#685C2312yes—
286C2×#685C2312yes—
287C2×#685C2312yes—
288C2×#685C2312yes—
289C2×#685C2312yes—
290C2×#685C23116yescomplemented
291C2×C4⋊Dic5C2311yescharacteristic
292C2×C4⋊Dic5C2311yescharacteristic
293C2×C4⋊Dic5C2312yes—
294C2×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×#683C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×#683C2312yes—
301C2×C4×Dic5C2311yescharacteristic
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2311yescharacteristic
305C2×C4×Dic5C2312yes—
306#4044C2318yescomplemented
307#4044C23116yescomplemented
308#4043C2318yescomplemented
309#4042C2318yescomplemented
310#4041C2318yes—
311#4041C23116yescomplemented
312#4041C23116yescomplemented
313#4041C2318yescomplemented
314#4041C2318yescomplemented
315#4041C23116yescomplemented
316#4041C23116yescomplemented
317#4040C2318yescomplemented
318#4040C23116yescomplemented
319#4040C23116yescomplemented
320#4040C23116yescomplemented
321#4039C2318yescomplemented
322#4039C2318yescomplemented
323#4039C2318yescomplemented
324#4039C23116yescomplemented
325#4038C23116yescomplemented
326#4035C2318yescomplemented
327#4033C2318yescomplemented
328#4032C23116yescomplemented
329#4031C2318yescomplemented
330#4031C23116yescomplemented
331#4030C2318yes—
332#4030C23116yescomplemented
333#4030C23116yescomplemented
334#4030C23116yescomplemented
335#4030C23116yescomplemented
336#4030C23116yescomplemented
337#4029C2318yescomplemented
338#4029C23116yescomplemented
339#4029C23116yescomplemented
340#4028C23116yescomplemented
341#4028C23116yescomplemented
342#4028C23116yescomplemented
343#4028C23116yescomplemented
344#4028C23116yescomplemented
345#4028C23116yescomplemented
346#4028C23116yescomplemented
347#4027C23116yescomplemented
348D5×C22⋊C4C23116yescomplemented
349#4025C2318yescomplemented
350#4021C2318yescomplemented
351#4021C2318yescomplemented
352#4020C2318yescomplemented
353#4020C2318yescomplemented
354C4×D20C2318yescomplemented
355#4018C2318yescomplemented
356C42×D5C2318yescomplemented
357C4×Dic10C2318yescomplemented
358#3543—532no—
359C2×#560—52no—
360C2×#560—52no—
361C2×#559—51no—
362C2×#550—51no—
363C2×#550—51no—
364C2×#546—52no—
365C2×#546—51no—
366C2×#546—51no—
367C2×D42—51no—
368C2×D42—51no—
369C2×D42—52no—
370C2×D42—51no—
371C2×#540—51no—
372C2×#540—52no—
373C2×#540D511yescharacteristic, complemented
374C2×#535—51no—
375C2×#535—52no—
376C2×#535—51no—
377C2×#534—52no—
378C2×#534—52no—
379C22×#127—51no—
380C2×#529—51no—
381C2×#529—51no—
382C24×C5C2411yescharacteristic
383C24×C5C2412yes—
384C24×C5C2412yes—
385C23×D5—28no—
386C23×D5—28no—
387C23×D5—44no—
388C23×D5—44no—
389C23×D5—44no—
390C23×D5—44no—
391C23×D5—44no—
392C23×D5—44no—
393C23×D5—44no—
394C23×D5—44no—
395C23×D5—44no—
396C23×D5—44no—
397C23×D5C2412yes—
398C23×D5C2412yes—
399C23×D5C2411yescharacteristic
400C23×D5C2412yes—
401C23×D5C2411yescharacteristic
402C23×D5C2418yes—
403C23×D5C2418yes—
404C23×D5C2418yes—
405C23×D5C2418yes—
406C2×C5×D4—24no—
407C2×C5×D4—24no—
408C2×C5×D4—44no—
409C2×C5×D4—44no—
410C2×C5×D4—44no—
411C2×C5×D4—44no—
412C2×C5×D4C2414yes—
413C2×C5×D4C2414yes—
414C2×C5×D4C2418yes—
415C2×C5×D4C2418yes—
416C2×C5×D4C2418yes—
417C2×C5×D4C2418yes—
418C22×C4×C5—24no—
419C22×C4×C5—44no—
420C22×C4×C5—44no—
421C22×C4×C5C2411yescharacteristic
422C22×C4×C5C2411yescharacteristic
423C22×C4×C5C2411yescharacteristic
424C22×C4×C5C2411yescharacteristic
425C22×C4×C5C2411yescharacteristic
426C22×C4×C5C2412yes—
427C22×C4×C5C2412yes—
428C22×C4×C5C2414yes—
429C22×C4×C5C2418yes—
430C22×C4×C5C2418yes—
431C22×C4×C5C2411yescharacteristic
432C2×C22⋊D5—24no—
433C2×C22⋊D5—28no—
434C2×C22⋊D5—24no—
435C2×C22⋊D5—28no—
436C2×C22⋊D5—44no—
437C2×C22⋊D5—44no—
438C2×C22⋊D5—44no—
439C2×C22⋊D5—44no—
440C2×C22⋊D5—44no—
441C2×C22⋊D5—44no—
442C2×C22⋊D5—44no—
443C2×C22⋊D5—44no—
444C2×C22⋊D5—44no—
445C2×C22⋊D5C2418yes—
446C2×C22⋊D5C2414yes—
447C2×C22⋊D5C2414yes—
448C2×C22⋊D5C2418yes—
449C2×C22⋊D5C2418yes—
450C2×C22⋊D5C2418yes—
451C2×C22⋊D5C2418yes—
452C2×C22⋊D5C2418yes—
453C2×C22⋊D5C2418yes—
454C2×C22⋊D5C2418yes—
455C2×C22⋊D5C2418yes—
456C2×C22⋊D5C2418yes—
457C2×C22⋊D5C2418yes—
458C22×Dic5—44no—
459C22×Dic5C2411yescharacteristic
460C22×Dic5C2412yes—
461C22×Dic5C2411yescharacteristic
462C22×Dic5C2411yescharacteristic
463C22×Dic5C2411yescharacteristic
464C22×Dic5C2411yescharacteristic
465C22×Dic5C2418yes—
466C22×Dic5C2411yescharacteristic
467#711—416no—
468D4×D5—416no—
469D4×D5—416no—
470D4×D5—416no—
471D4×D5—432no—
472D4×D5—432no—
473D4×D5—432no—
474D4×D5—432no—
475#709—432no—
476#709—416no—
477C2×D20—24no—
478C2×D20—28no—
479C2×D20—24no—
480C2×D20—24no—
481C2×D20—24no—
482C2×D20—416no—
483C2×D20—432no—
484C2×D20—44no—
485C2×D20—44no—
486C2×D20—44no—
487C2×D20—44no—
488C2×D20—44no—
489C2×D20—44no—
490C2×D20—44no—
491C2×D20C2414yes—
492C2×D20C2414yes—
493C2×D20C2414yes—
494C2×D20C2418yes—
495C2×D20C2414yes—
496C2×D20C2418yes—
497C2×D20C2418yes—
498C2×D20C2418yes—
499C2×D20C2418yes—
500C2×D20C2418yes—
501C2×D20C2418yes—
502C2×D20C2418yes—
503C2×C4×D5—24no—
504C2×C4×D5—24no—
505C2×C4×D5—24no—
506C2×C4×D5—28no—
507C2×C4×D5—24no—
508C2×C4×D5—44no—
509C2×C4×D5—44no—
510C2×C4×D5—44no—
511C2×C4×D5C2418yes—
512C2×C4×D5C2414yes—
513C2×C4×D5C2414yes—
514C2×C4×D5C2414yes—
515C2×C4×D5C2414yes—
516C2×C4×D5C2418yes—
517C2×C4×D5C2418yes—
518C2×C4×D5C2418yes—
519C2×Dic10—24no—
520C2×Dic10—24no—
521C2×Dic10C2414yes—
522C2×Dic10C2414yes—
523C5×C4⋊C4C2414yes—
524C5×C4⋊C4C2414yes—
525C5×C4⋊C4C2414yes—
526C5×C4⋊C4C2414yes—
527C5×C4⋊C4C2418yes—
528C5×C4⋊C4C2418yes—
529C5×C22⋊C4C2414yes—
530C5×C22⋊C4C2414yes—
531C5×C22⋊C4C2418yes—
532C5×C22⋊C4C2418yes—
533C5×C22⋊C4C2418yes—
534C5×C22⋊C4C2418yes—
535C42×C5C2414yes—
536C42×C5C2414yes—
537C22⋊Dic5C2414yes—
538C22⋊Dic5C2414yes—
539C22⋊Dic5C2418yes—
540C22⋊Dic5C2418yes—
541#685C2414yes—
542#685C2414yes—
543#685C2414yes—
544#685C2414yes—
545#685C2418yes—
546#685C2418yes—
547#685C2418yes—
548#685C2418yes—
549#685C2414yes—
550#685C2418yes—
551#685C2418yes—
552#685C2414yes—
553#685C2418yes—
554#685C2418yes—
555#685C2418yes—
556#685C2418yes—
557#685C2418yes—
558C4⋊Dic5C2414yes—
559C4⋊Dic5C2414yes—
560C4⋊Dic5C2418yes—
561#683C2414yes—
562#683C2414yes—
563#683C2414yes—
564#683C2414yes—
565#683C2414yes—
566#683C2414yes—
567#683C2418yes—
568C4×Dic5C2414yes—
569C4×Dic5C2414yes—
570C4×Dic5C2414yes—
571C4×Dic5C2414yes—
572C4×Dic5C2418yes—
573C22×#41—51no—
574C22×#41—52no—
575C22×#41—51no—
576C23×D4—52no—
577C23×D4—52no—
578C23×D4—51no—
579C23×D4—51no—
580C23×D4—52no—
581C23×D4—52no—
582C23×D4—51no—
583C23×D4—52no—
584C23×D4—51no—
585#560—532no—
586#560—532no—
587#559—516no—
588#550—516no—
589#550—516no—
590#546—532no—
591#546—516no—
592#546—516no—
593D42—516no—
594D42—516no—
595D42—532no—
596D42—516no—
597#540—516no—
598#540—532no—
599#540C2×D5116yescomplemented
600#535—516no—
601#535—532no—
602#535—516no—
603#534—532no—
604#534—532no—
605C2×#127—51no—
606C2×#127—52no—
607C2×#127—51no—
608C2×#127—52no—
609C2×#127—52no—
610C2×#127—51no—
611C2×#127—516no—
612C2×#127—51no—
613C2×#127—51no—
614C2×#127C2×D511yescharacteristic, complemented
615#529—516no—
616#529—516no—
617C2×#126—52no—
618C2×#126—51no—
619C2×#126—51no—
620C2×#125—51no—
621C2×#125C2×D511yescharacteristic, complemented
622C2×#124—51no—
623C2×#124—51no—
624C2×#124—52no—
625C2×#124—51no—
626C2×#124—51no—
627C2×#123—52no—
628C2×#123—52no—
629C2×#123—51no—
630C2×#123—52no—
631C2×#123—52no—
632C2×#123—51no—
633C2×#123—52no—
634C2×#123—52no—
635C2×#123—52no—
636C2×#123C2×D512yescomplemented
637C2×#123C2×D512yescomplemented
638C2×C22⋊Q8—51no—
639C2×C22⋊Q8—51no—
640C2×#121—52no—
641C2×#121—52no—
642C2×#121—52no—
643C2×#121—52no—
644C2×#121—52no—
645C2×#121—52no—
646C2×#121—52no—
647C2×#121—51no—
648C2×#121—52no—
649C2×#121—52no—
650C2×#121—52no—
651C2×#121—51no—
652C2×#121—51no—
653C2×#121—52no—
654C2×#121—51no—
655C2×#121—52no—
656C2×#121—52no—
657C2×#121—52no—
658C2×#121—52no—
659C2×#121—52no—
660C2×#121C2×D512yescomplemented
661C2×#121C2×D511yescharacteristic, complemented
662C2×#121C2×D511yescharacteristic, complemented
663C2×#121C2×D512yescomplemented
664C2×#120—52no—
665C2×#120—52no—
666C2×#120—52no—
667C2×#120—52no—
668C2×#120—52no—
669C2×#120—52no—
670C2×#120—52no—
671C2×#120—52no—
672C2×#120—52no—
673C2×#120—52no—
674C2×#120—52no—
675C2×#120—52no—
676C2×C4×Q8—51no—
677C2×C4×Q8—51no—
678C2×C4×D4—51no—
679C2×C4×D4—51no—
680C2×C4×D4—52no—
681C2×C4×D4—52no—
682C2×C4×D4—51no—
683C2×C4×D4—51no—
684C2×C4×D4—51no—
685C2×C4×D4—52no—
686C2×C4×D4—51no—
687C2×C4×D4C2×D511yescharacteristic, complemented
688C2×C4×D4C2×D511yescharacteristic, complemented
689C2×#117—52no—
690C2×#117—51no—
691C2×#117C2×D511yescharacteristic, complemented
692C22×C22⋊C4—52no—
693C22×C22⋊C4—52no—
694C22×C42—51no—
695C23×C5—24no—
696C23×C5—24no—
697C23×C5—22no—
698C23×C5—24no—
699C23×C5—22no—
700C23×C5—22no—
701C23×C5—24no—
702C23×C5—24no—
703C23×C5—24no—
704C23×C5C2512yes—
705C23×C5C2514yes—
706C23×C5C2514yes—
707C23×C5C2511yescharacteristic
708C22×D5—22no—
709C22×D5—22no—
710C22×D5—24no—
711C22×D5—22no—
712C22×D5—24no—
713C22×D5—24no—
714C22×D5—24no—
715C22×D5—22no—
716C22×D5—24no—
717C22×D5—24no—
718C22×D5—24no—
719C22×D5—24no—
720C22×D5—22no—
721C22×D5—24no—
722C22×D5—216no—
723C22×D5—216no—
724C22×D5—48no—
725C22×D5—48no—
726C22×D5—48no—
727C22×D5—48no—
728C22×D5—48no—
729C22×D5—48no—
730C22×D5—48no—
731C22×D5—48no—
732C22×D5—48no—
733C22×D5—48no—
734C22×D5—816no—
735C22×D5—816no—
736C22×D5—816no—
737C22×D5—816no—
738C22×D5H(5,𝔽2)14yes—
739C22×D5C2514yes—
740C22×D5C2512yes—
741C22×D5C2514yes—
742C22×D5C2514yes—
743C22×D5C2512yes—
744C5×D4—28no—
745C5×D4—28no—
746C5×D4—48no—
747C5×D4—48no—
748C5×D4—48no—
749C5×D4—48no—
750C2×C4×C5—22no—
751C2×C4×C5—24no—
752C2×C4×C5—22no—
753C2×C4×C5—22no—
754C2×C4×C5—22no—
755C2×C4×C5—24no—
756C2×C4×C5—22no—
757C2×C4×C5—28no—
758C2×C4×C5—48no—
759C2×C4×C5—48no—
760C2×C4×C5H(5,𝔽2)14yes—
761C2×C4×C5C2512yes—
762C2×C4×C5C2512yes—
763C2×C4×C5C2514yes—
764C2×C4×C5C2512yes—
765C2×C4×C5C2512yes—
766C2×C4×C5C2512yes—
767C2×C4×C5C2514yes—
768C2×C4×C5C2512yes—
769C22⋊D5—28no—
770C22⋊D5—216no—
771C22⋊D5—28no—
772C22⋊D5—216no—
773C22⋊D5—48no—
774C22⋊D5—48no—
775C22⋊D5—48no—
776C22⋊D5—48no—
777C22⋊D5—48no—
778C22⋊D5—48no—
779C22⋊D5—48no—
780C22⋊D5—48no—
781C22⋊D5—48no—
782C2×Dic5—22no—
783C2×Dic5—24no—
784C2×Dic5—22no—
785C2×Dic5—22no—
786C2×Dic5—22no—
787C2×Dic5—22no—
788C2×Dic5—48no—
789C2×Dic5H(5,𝔽2)14yes—
790C2×Dic5C2512yes—
791C2×Dic5C2512yes—
792C2×Dic5C2512yes—
793C2×Dic5C2512yes—
794C2×Dic5C2514yes—
795C2×Dic5C2512yes—
796C2×Dic5C2512yes—
797D20—28no—
798D20—216no—
799D20—28no—
800D20—28no—
801D20—28no—
802D20—48no—
803D20—48no—
804D20—48no—
805D20—48no—
806D20—48no—
807D20—48no—
808D20—48no—
809C4×D5—28no—
810C4×D5—28no—
811C4×D5—28no—
812C4×D5—216no—
813C4×D5—28no—
814C4×D5—48no—
815C4×D5—48no—
816C4×D5—48no—
817Dic10—28no—
818Dic10—28no—
819C25—52no—
820C25—52no—
821C25—52no—
822C25—52no—
823C2×#41—58no—
824C2×#41—516no—
825C2×#41—58no—
826C2×#41—204no—
827C2×#41—208no—
828C2×#41—204no—
829C22×Q8—51no—
830C22×Q8—51no—
831C22×D4—51no—
832C22×D4—51no—
833C22×D4—52no—
834C22×D4—52no—
835C22×D4—52no—
836C22×D4—52no—
837C22×D4—52no—
838C22×D4—52no—
839C22×D4—52no—
840C22×D4—52no—
841C22×D4—52no—
842C22×D4—52no—
843C22×D4—52no—
844C22×D4—516no—
845C22×D4—516no—
846C22×D4—58no—
847C22×D4—58no—
848C22×D4—516no—
849C22×D4—516no—
850C22×D4—58no—
851C22×D4—52no—
852C22×D4—51no—
853C22×D4—51no—
854C22×D4—51no—
855C22×D4—51no—
856C22×D4—52no—
857C22×D4—52no—
858C22×D4—52no—
859C22×D4—52no—
860C22×D4—52no—
861C22×D4—52no—
862C22×D4—52no—
863C22×D4—516no—
864C22×D4—58no—
865C22×D4—204no—
866C22×D4—208no—
867C22×D4—204no—
868C22×D4—204no—
869C22×D4—204no—
870C22×D4—208no—
871C22×D4—208no—
872C22×D4—208no—
873C22×D4—208no—
874C22×D4C22×D511yescharacteristic
875C22×D4C22×D511yescharacteristic
876C22×D4C22×D512yes—
877C22×D4C22×D512yes—
878C22×D4C22×D512yes—
879C22×D4C22×D512yes—
880C23×C4—52no—
881C23×C4—52no—
882C23×C4—51no—
883C23×C4—51no—
884C23×C4—51no—
885C23×C4—51no—
886C23×C4—52no—
887C23×C4—52no—
888C23×C4—52no—
889C23×C4C22×D511yescharacteristic
890C23×C4C22×D512yes—
891C23×C4C22×D512yes—
892#127—516no—
893#127—58no—
894#127—58no—
895#127—516no—
896#127—516no—
897#127—58no—
898#127—58no—
899#127—58no—
900#127C22×D518yescomplemented
901#126—516no—
902#126—58no—
903#126—58no—
904#125—58no—
905#125C22×D518yescomplemented
906#124—58no—
907#124—58no—
908#124—516no—
909#124—58no—
910#124—58no—
911#123—516no—
912#123—516no—
913#123—58no—
914#123—516no—
915#123—516no—
916#123—58no—
917#123—516no—
918#123—516no—
919#123—516no—
920#123C22×D5116yescomplemented
921#123C22×D5116yescomplemented
922C22⋊Q8—58no—
923C22⋊Q8—58no—
924#121—516no—
925#121—516no—
926#121—516no—
927#121—516no—
928#121—516no—
929#121—516no—
930#121—516no—
931#121—58no—
932#121—516no—
933#121—516no—
934#121—516no—
935#121—58no—
936#121—58no—
937#121—516no—
938#121—58no—
939#121—516no—
940#121—516no—
941#121—516no—
942#121—516no—
943#121—516no—
944#121C22×D5116yescomplemented
945#121C22×D518yescomplemented
946#121C22×D518yescomplemented
947#121C22×D5116yescomplemented
948#120—516no—
949#120—516no—
950#120—516no—
951#120—516no—
952#120—516no—
953#120—516no—
954#120—516no—
955#120—516no—
956#120—516no—
957#120—516no—
958#120—516no—
959#120—516no—
960C4×Q8—58no—
961C4×Q8—58no—
962C4×D4—58no—
963C4×D4—58no—
964C4×D4—516no—
965C4×D4—516no—
966C4×D4—58no—
967C4×D4—58no—
968C4×D4—58no—
969C4×D4—516no—
970C4×D4—58no—
971C4×D4C22×D518yescomplemented
972C4×D4C22×D518yescomplemented
973#117—516no—
974#117—58no—
975#117C22×D518yescomplemented
976C2×C4⋊C4—51no—
977C2×C4⋊C4—52no—
978C2×C4⋊C4—51no—
979C2×C4⋊C4—51no—
980C2×C4⋊C4—51no—
981C2×C4⋊C4—51no—
982C2×C4⋊C4—51no—
983C2×C4⋊C4—52no—
984C2×C4⋊C4—51no—
985C2×C4⋊C4—51no—
986C2×C4⋊C4C22×D512yes—
987C2×C4⋊C4C22×D511yescharacteristic
988C2×C4⋊C4C22×D511yescharacteristic
989C2×C4⋊C4C22×D511yescharacteristic
990C2×C4⋊C4C22×D511yescharacteristic
991C2×C4⋊C4C22×D512yes—
992C2×C22⋊C4—52no—
993C2×C22⋊C4—51no—
994C2×C22⋊C4—51no—
995C2×C22⋊C4—52no—
996C2×C22⋊C4—52no—
997C2×C22⋊C4—51no—
998C2×C22⋊C4—51no—
999C2×C22⋊C4—52no—
1000C2×C22⋊C4—52no—
1001C2×C22⋊C4—516no—
1002C2×C22⋊C4—52no—
1003C2×C22⋊C4—51no—
1004C2×C22⋊C4—52no—
1005C2×C22⋊C4—51no—
1006C2×C22⋊C4—52no—
1007C2×C22⋊C4—51no—
1008C2×C22⋊C4—51no—
1009C2×C22⋊C4—52no—
1010C2×C22⋊C4—52no—
1011C2×C22⋊C4—52no—
1012C2×C22⋊C4—52no—
1013C2×C22⋊C4—52no—
1014C2×C22⋊C4—516no—
1015C2×C22⋊C4C22×D512yes—
1016C2×C22⋊C4C22×D511yescharacteristic
1017C2×C22⋊C4C22×D511yescharacteristic
1018C2×C22⋊C4C22×D512yes—
1019C2×C22⋊C4C22×D512yes—
1020C2×C22⋊C4C22×D512yes—
1021C2×C42—51no—
1022C2×C42—52no—
1023C2×C42—51no—
1024C2×C42—51no—
1025C2×C42—51no—
1026C2×C42—58no—
1027C2×C42C22×D511yescharacteristic
1028C2×C42C22×D511yescharacteristic
1029C22×C5—24no—
1030C22×C5—24no—
1031C22×C5—22no—
1032C22×C5—24no—
1033C22×C5—22no—
1034C22×C5—22no—
1035C22×C5—24no—
1036C22×C5—24no—
1037C22×C5—24no—
1038C22×C5—48no—
1039C22×C5—44no—
1040C22×C5—48no—
1041C22×C5C2×H(5,𝔽2)12yes—
1042C22×C5C2×H(5,𝔽2)12yes—
1043C22×C5C2×H(5,𝔽2)12yes—
1044C22×C5C2611yescharacteristic
1045C2×D5—22no—
1046C2×D5—22no—
1047C2×D5—28no—
1048C2×D5—24no—
1049C2×D5—22no—
1050C2×D5—24no—
1051C2×D5—24no—
1052C2×D5—24no—
1053C2×D5—22no—
1054C2×D5—24no—
1055C2×D5—24no—
1056C2×D5—24no—
1057C2×D5—24no—
1058C2×D5—22no—
1059C2×D5—24no—
1060C2×D5—48no—
1061C2×D5—48no—
1062C2×D5—44no—
1063C2×D5—48no—
1064C2×D5—816no—
1065C2×D5—816no—
1066C2×D5—816no—
1067C2×D5—816no—
1068C2×D5C2×H(5,𝔽2)14yes—
1069C4×C5—22no—
1070C4×C5—24no—
1071C4×C5—22no—
1072C4×C5—22no—
1073C4×C5—22no—
1074C4×C5—24no—
1075C4×C5—22no—
1076C4×C5C2×H(5,𝔽2)14yes—
1077Dic5—22no—
1078Dic5—24no—
1079Dic5—22no—
1080Dic5—22no—
1081Dic5—22no—
1082Dic5—22no—
1083Dic5C2×H(5,𝔽2)14yes—
1084C24—51no—
1085C24—51no—
1086C24—52no—
1087C24—52no—
1088C24—52no—
1089C24—58no—
1090C24—58no—
1091C24—58no—
1092C24—58no—
1093C24—108no—
1094C24—108no—
1095C24—204no—
1096C24—204no—
1097C24—204no—
1098C24—204no—
1099C24—204no—
1100C24—204no—
1101C24—204no—
1102C24—204no—
1103C24—204no—
1104C24—204no—
1105C24C23×D511yescharacteristic
1106C24C23×D512yes—
1107C24C23×D512yes—
1108#41—2016no—
1109#41—2032no—
1110#41—2016no—
1111C2×Q8—54no—
1112C2×Q8—54no—
1113C2×Q8—104no—
1114C2×Q8—104no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—54no—
1122C2×D4—54no—
1123C2×D4—58no—
1124C2×D4—58no—
1125C2×D4—58no—
1126C2×D4—58no—
1127C2×D4—58no—
1128C2×D4—58no—
1129C2×D4—58no—
1130C2×D4—58no—
1131C2×D4—58no—
1132C2×D4—58no—
1133C2×D4—58no—
1134C2×D4—58no—
1135C2×D4—54no—
1136C2×D4—54no—
1137C2×D4—54no—
1138C2×D4—54no—
1139C2×D4—58no—
1140C2×D4—58no—
1141C2×D4—58no—
1142C2×D4—58no—
1143C2×D4—58no—
1144C2×D4—58no—
1145C2×D4—58no—
1146C2×D4—104no—
1147C2×D4—108no—
1148C2×D4—104no—
1149C2×D4—108no—
1150C2×D4—108no—
1151C2×D4—104no—
1152C2×D4—104no—
1153C2×D4—104no—
1154C2×D4—104no—
1155C2×D4—2016no—
1156C2×D4—204no—
1157C2×D4—204no—
1158C2×D4—204no—
1159C2×D4—204no—
1160C2×D4—204no—
1161C2×D4—204no—
1162C2×D4—204no—
1163C2×D4—2032no—
1164C2×D4—2016no—
1165C2×D4—2016no—
1166C2×D4—2016no—
1167C2×D4—2032no—
1168C2×D4—2032no—
1169C2×D4—2032no—
1170C2×D4—204no—
1171C2×D4—204no—
1172C2×D4—204no—
1173C2×D4—204no—
1174C2×D4—204no—
1175C2×D4—204no—
1176C2×D4—204no—
1177C2×D4—204no—
1178C2×D4—204no—
1179C2×D4—2032no—
1180C2×D4C23×D514yes—
1181C2×D4C23×D514yes—
1182C2×D4C23×D518yes—
1183C2×D4C23×D518yes—
1184C2×D4C23×D518yes—
1185C2×D4C23×D518yes—
1186C22×C4—24no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—51no—
1190C22×C4—51no—
1191C22×C4—51no—
1192C22×C4—52no—
1193C22×C4—51no—
1194C22×C4—51no—
1195C22×C4—51no—
1196C22×C4—58no—
1197C22×C4—54no—
1198C22×C4—54no—
1199C22×C4—54no—
1200C22×C4—58no—
1201C22×C4—54no—
1202C22×C4—58no—
1203C22×C4—58no—
1204C22×C4—58no—
1205C22×C4—104no—
1206C22×C4—108no—
1207C22×C4—104no—
1208C22×C4—104no—
1209C22×C4—104no—
1210C22×C4—204no—
1211C22×C4—204no—
1212C22×C4—204no—
1213C22×C4—204no—
1214C22×C4C23×D514yes—
1215C22×C4C23×D511yescharacteristic
1216C22×C4C23×D511yescharacteristic
1217C22×C4C23×D512yes—
1218C22×C4C23×D511yescharacteristic
1219C22×C4C23×D511yescharacteristic
1220C22×C4C23×D512yes—
1221C22×C4C23×D511yescharacteristic
1222C22×C4C23×D518yes—
1223C22×C4C23×D518yes—
1224C22×C4C23×D511yescharacteristic
1225C4⋊C4—54no—
1226C4⋊C4—58no—
1227C4⋊C4—54no—
1228C4⋊C4—54no—
1229C4⋊C4—54no—
1230C4⋊C4—54no—
1231C4⋊C4—54no—
1232C4⋊C4—58no—
1233C4⋊C4—54no—
1234C4⋊C4—54no—
1235C4⋊C4C23×D518yes—
1236C4⋊C4C23×D514yes—
1237C4⋊C4C23×D514yes—
1238C4⋊C4C23×D514yes—
1239C4⋊C4C23×D514yes—
1240C4⋊C4C23×D518yes—
1241C22⋊C4—58no—
1242C22⋊C4—54no—
1243C22⋊C4—54no—
1244C22⋊C4—58no—
1245C22⋊C4—58no—
1246C22⋊C4—54no—
1247C22⋊C4—54no—
1248C22⋊C4—58no—
1249C22⋊C4—58no—
1250C22⋊C4—58no—
1251C22⋊C4—54no—
1252C22⋊C4—58no—
1253C22⋊C4—54no—
1254C22⋊C4—58no—
1255C22⋊C4—54no—
1256C22⋊C4—54no—
1257C22⋊C4—58no—
1258C22⋊C4—58no—
1259C22⋊C4—58no—
1260C22⋊C4—58no—
1261C22⋊C4—58no—
1262C22⋊C4C23×D518yes—
1263C22⋊C4C23×D514yes—
1264C22⋊C4C23×D514yes—
1265C22⋊C4C23×D518yes—
1266C22⋊C4C23×D518yes—
1267C22⋊C4C23×D518yes—
1268C42—54no—
1269C42—54no—
1270C42—54no—
1271C42—58no—
1272C42—54no—
1273C42C23×D514yes—
1274C42C23×D514yes—
1275C2×C5—44no—
1276C2×C5—42no—
1277C2×C5—44no—
1278C2×C5#354314yescomplemented
1279C2×C5C22×H(5,𝔽2)11yescharacteristic
1280C2×C5C22×H(5,𝔽2)11yescharacteristic
1281C2×C5C22×H(5,𝔽2)11yescharacteristic
1282D5—24no—
1283D5—44no—
1284D5—44no—
1285D5—42no—
1286D5—44no—
1287C23—22no—
1288C23—24no—
1289C23—24no—
1290C23—24no—
1291C23—24no—
1292C23—22no—
1293C23—24no—
1294C23—22no—
1295C23—24no—
1296C23—54no—
1297C23—52no—
1298C23—52no—
1299C23—54no—
1300C23—54no—
1301C23—54no—
1302C23—1016no—
1303C23—1016no—
1304C23—102no—
1305C23—102no—
1306C23—102no—
1307C23—104no—
1308C23—104no—
1309C23—104no—
1310C23—104no—
1311C23—104no—
1312C23—104no—
1313C23—102no—
1314C23—104no—
1315C23—102no—
1316C23—104no—
1317C23—104no—
1318C23—208no—
1319C23—208no—
1320C23—208no—
1321C23—208no—
1322C23—208no—
1323C23—208no—
1324C23—208no—
1325C23—208no—
1326C23—208no—
1327C23—208no—
1328C23—4016no—
1329C23—4016no—
1330C23—4016no—
1331C23—4016no—
1332C23C24×D512yes—
1333C23C24×D514yes—
1334C23C24×D514yes—
1335C23C24×D511yescharacteristic
1336Q8—108no—
1337Q8—108no—
1338D4—28no—
1339D4—28no—
1340D4—48no—
1341D4—48no—
1342D4—48no—
1343D4—48no—
1344D4—108no—
1345D4—1016no—
1346D4—108no—
1347D4—1016no—
1348D4—1016no—
1349D4—108no—
1350D4—108no—
1351D4—108no—
1352D4—108no—
1353D4—208no—
1354D4—208no—
1355D4—208no—
1356D4—208no—
1357D4—208no—
1358D4—208no—
1359D4—208no—
1360D4—208no—
1361D4—208no—
1362D4—208no—
1363D4—208no—
1364D4—208no—
1365D4—208no—
1366D4—208no—
1367D4—208no—
1368D4—208no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—24no—
1373C2×C4—24no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—28no—
1377C2×C4—48no—
1378C2×C4—48no—
1379C2×C4—54no—
1380C2×C4—52no—
1381C2×C4—52no—
1382C2×C4—52no—
1383C2×C4—54no—
1384C2×C4—52no—
1385C2×C4—52no—
1386C2×C4—52no—
1387C2×C4—108no—
1388C2×C4—1016no—
1389C2×C4—108no—
1390C2×C4—102no—
1391C2×C4—102no—
1392C2×C4—104no—
1393C2×C4—102no—
1394C2×C4—102no—
1395C2×C4—102no—
1396C2×C4—108no—
1397C2×C4—108no—
1398C2×C4—208no—
1399C2×C4—208no—
1400C2×C4—208no—
1401C2×C4—208no—
1402C2×C4#414914yes—
1403C2×C4C24×D512yes—
1404C2×C4C24×D512yes—
1405C2×C4C24×D514yes—
1406C2×C4C24×D512yes—
1407C2×C4C24×D512yes—
1408C2×C4C24×D514yes—
1409C2×C4C24×D512yes—
1410C2×C4C24×D512yes—
1411C5C2×#354311yescharacteristic, complemented, Sylow
1412C22—22no—
1413C22—24no—
1414C22—24no—
1415C22—24no—
1416C22—24no—
1417C22—22no—
1418C22—24no—
1419C22—22no—
1420C22—24no—
1421C22—44no—
1422C22—48no—
1423C22—48no—
1424C22—54no—
1425C22—108no—
1426C22—102no—
1427C22—102no—
1428C22—102no—
1429C22—104no—
1430C22—104no—
1431C22—104no—
1432C22—104no—
1433C22—104no—
1434C22—104no—
1435C22—102no—
1436C22—104no—
1437C22—102no—
1438C22—104no—
1439C22—104no—
1440C22—204no—
1441C22—208no—
1442C22—208no—
1443C22—208no—
1444C22—4016no—
1445C22—4016no—
1446C22—4016no—
1447C22—4016no—
1448C22C2×#414912yes—
1449C22D5×H(5,𝔽2)12yes—
1450C22D5×H(5,𝔽2)12yes—
1451C22C25×D511yescharacteristic
1452C4—22no—
1453C4—22no—
1454C4—22no—
1455C4—24no—
1456C4—24no—
1457C4—22no—
1458C4—22no—
1459C4—54no—
1460C4—102no—
1461C4—102no—
1462C4—104no—
1463C4—102no—
1464C4—102no—
1465C4—102no—
1466C4C2×#414914yes—
1467C2—42no—
1468C2—44no—
1469C2—44no—
1470C2—104no—
1471C2—202no—
1472C2—204no—
1473C2—204no—
1474C2—204no—
1475C2#1061839414yesdirect product factor
1476C2C22×#414911yescharacteristic
1477C2C2×D5×H(5,𝔽2)11yescharacteristic
1478C2C2×D5×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#540C2
socleC23×C5C25
hypercenterC2×#540D5
hypocenterC5C2×#3543
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. C2×C5×#540C2semidirect
2. #10618394C2direct (N × H)
3. C2×#66049C2semidirect
4. C2×D5×#127C2semidirect
5. C2×#66032C2semidirect
6. C2×#66025C2semidirect
7. C2×#66000C2semidirect
8. C2×#65988C2semidirect
9. C2×#65987C2semidirect
10. C2×#65997C2semidirect
11. C2×#65954C2semidirect
12. C2×#65946C2semidirect
13. C2×#65943C2semidirect
14. C2×#65943C2semidirect
15. C2×#65943C2semidirect
16. C2×#65941C2semidirect
17. C2×#65939C2semidirect
18. C2×#65933C2semidirect
19. C2×#65888C2semidirect
20. C2×D4×D20C2semidirect
21. C2×#65893C2semidirect
22. C2×#65887C2semidirect
23. C2×#65859C2semidirect
24. C2×#65862C2semidirect
25. C22×#711C22semidirect
26. C22×D4×D5C22semidirect
27. C22×D4×D5C22semidirect
28. C22×D4×D5C22semidirect
29. C22×D4×D5C22semidirect
30. C22×D4×D5C22semidirect
31. C22×D4×D5C22semidirect
32. C22×D4×D5C22semidirect
33. C22×#709C22semidirect
34. C22×#709C22semidirect
35. C23×D20C22semidirect
36. C23×D20C22semidirect
37. C5×#540C22semidirect
38. C2×C5×#127C22semidirect
39. C2×C5×#125C22semidirect
40. C2×C5×#123C22semidirect
41. C2×C5×#123C22semidirect
42. C2×C5×#121C22semidirect
43. C2×C5×#121C22semidirect
44. C2×C5×#121C22semidirect
45. C2×C5×#121C22semidirect
46. C2×C4×C5×D4C22semidirect
47. C2×C4×C5×D4C22semidirect
48. C2×C5×#117C22semidirect
50. C2×#4086C22semidirect
51. C2×#4086C22semidirect
52. C2×#4086C22semidirect
53. C2×#4086C22semidirect
54. C2×#4086C22semidirect
55. C2×#4085C22semidirect
56. C2×#4085C22semidirect
57. C2×#4085C22semidirect
58. C2×#4084C22semidirect
59. C2×#4083C22semidirect
60. C2×#4083C22semidirect
61. C2×#4083C22semidirect
62. C2×#4083C22semidirect
63. C2×#4083C22semidirect
64. C2×#4082C22semidirect
65. C2×#4076C22semidirect
66. C2×#4076C22semidirect
67. C2×#4076C22semidirect
68. C2×#4075C22semidirect
69. C2×C4×C22⋊D5C22semidirect
70. C2×C4×C22⋊D5C22semidirect
71. C2×C4×C22⋊D5C22semidirect
72. C22×#685C22semidirect
73. #66049C22semidirect
74. D5×#127C22semidirect
75. #66032C22semidirect
76. #66025C22semidirect
77. #66000C22semidirect
78. #65997C22semidirect
79. #65988C22semidirect
80. #65987C22semidirect
81. #65954C22semidirect
82. #65946C22semidirect
83. #65943C22semidirect
84. #65943C22semidirect
85. #65943C22semidirect
86. #65941C22semidirect
87. #65939C22semidirect
88. #65933C22semidirect
89. #65893C22semidirect
90. #65888C22semidirect
91. #65887C22semidirect
92. D4×D20C22semidirect
93. #65862C22semidirect
94. #65859C22semidirect
95. C2×#4044C22semidirect
96. C2×#4044C22semidirect
97. C2×#4043C22semidirect
98. C2×#4042C22semidirect
100. C2×#4041C22semidirect
101. C2×#4041C22semidirect
102. C2×#4041C22semidirect
103. C2×#4041C22semidirect
104. C2×#4041C22semidirect
105. C2×#4041C22semidirect
106. C2×#4040C22semidirect
107. C2×#4040C22semidirect
108. C2×#4040C22semidirect
109. C2×#4040C22semidirect
110. C2×#4039C22semidirect
111. C2×#4039C22semidirect
112. C2×#4039C22semidirect
113. C2×#4039C22semidirect
114. C2×#4038C22semidirect
115. C2×#4035C22semidirect
116. C2×#4033C22semidirect
117. C2×#4032C22semidirect
118. C2×#4031C22semidirect
119. C2×#4031C22semidirect
121. C2×#4030C22semidirect
122. C2×#4030C22semidirect
123. C2×#4030C22semidirect
124. C2×#4030C22semidirect
125. C2×#4030C22semidirect
126. C2×#4029C22semidirect
127. C2×#4029C22semidirect
128. C2×#4029C22semidirect
129. C2×#4028C22semidirect
130. C2×#4028C22semidirect
131. C2×#4028C22semidirect
132. C2×#4028C22semidirect
133. C2×#4028C22semidirect
134. C2×#4028C22semidirect
135. C2×#4028C22semidirect
136. C2×#4027C22semidirect
137. C2×D5×C22⋊C4C22semidirect
138. C2×#4025C22semidirect
139. C2×#4021C22semidirect
140. C2×#4021C22semidirect
141. C2×#4020C22semidirect
142. C2×#4020C22semidirect
143. C2×C4×D20C22semidirect
144. C2×#4018C22semidirect
145. C2×C42×D5C22semidirect
146. C2×C4×Dic10C22semidirect
176. C2×#711C23semidirect
184. C2×D4×D5C23semidirect
185. C2×D4×D5C23semidirect
186. C2×D4×D5C23semidirect
187. C2×D4×D5C23semidirect
188. C2×D4×D5C23semidirect
189. C2×D4×D5C23semidirect
190. C2×D4×D5C23semidirect
193. C2×#709C23semidirect
194. C2×#709C23semidirect
209. C22×D20C23semidirect
210. C22×D20C23semidirect
221. C5×#127C23semidirect
222. C5×#125C23semidirect
223. C5×#123C23semidirect
224. C5×#123C23semidirect
225. C5×#121C23semidirect
226. C5×#121C23semidirect
227. C5×#121C23semidirect
228. C5×#121C23semidirect
229. C4×C5×D4C23semidirect
230. C4×C5×D4C23semidirect
231. C5×#117C23semidirect
251. #4086C23semidirect
252. #4086C23semidirect
253. #4086C23semidirect
254. #4086C23semidirect
255. #4086C23semidirect
256. #4085C23semidirect
257. #4085C23semidirect
258. #4085C23semidirect
259. #4084C23semidirect
260. #4083C23semidirect
261. #4083C23semidirect
262. #4083C23semidirect
263. #4083C23semidirect
264. #4083C23semidirect
265. #4082C23semidirect
266. #4076C23semidirect
267. #4076C23semidirect
268. #4076C23semidirect
269. #4075C23semidirect
270. C4×C22⋊D5C23semidirect
271. C4×C22⋊D5C23semidirect
272. C4×C22⋊D5C23semidirect
290. C2×#685C23semidirect
306. #4044C23semidirect
307. #4044C23semidirect
308. #4043C23semidirect
309. #4042C23semidirect
311. #4041C23semidirect
312. #4041C23semidirect
313. #4041C23semidirect
314. #4041C23semidirect
315. #4041C23semidirect
316. #4041C23semidirect
317. #4040C23semidirect
318. #4040C23semidirect
319. #4040C23semidirect
320. #4040C23semidirect
321. #4039C23semidirect
322. #4039C23semidirect
323. #4039C23semidirect
324. #4039C23semidirect
325. #4038C23semidirect
326. #4035C23semidirect
327. #4033C23semidirect
328. #4032C23semidirect
329. #4031C23semidirect
330. #4031C23semidirect
332. #4030C23semidirect
333. #4030C23semidirect
334. #4030C23semidirect
335. #4030C23semidirect
336. #4030C23semidirect
337. #4029C23semidirect
338. #4029C23semidirect
339. #4029C23semidirect
340. #4028C23semidirect
341. #4028C23semidirect
342. #4028C23semidirect
343. #4028C23semidirect
344. #4028C23semidirect
345. #4028C23semidirect
346. #4028C23semidirect
347. #4027C23semidirect
348. D5×C22⋊C4C23semidirect
349. #4025C23semidirect
350. #4021C23semidirect
351. #4021C23semidirect
352. #4020C23semidirect
353. #4020C23semidirect
354. C4×D20C23semidirect
355. #4018C23semidirect
356. C42×D5C23semidirect
357. C4×Dic10C23semidirect
373. C2×#540D5semidirect
599. #540C2×D5semidirect
614. C2×#127C2×D5semidirect
621. C2×#125C2×D5semidirect
636. C2×#123C2×D5semidirect
637. C2×#123C2×D5semidirect
660. C2×#121C2×D5semidirect
661. C2×#121C2×D5semidirect
662. C2×#121C2×D5semidirect
663. C2×#121C2×D5semidirect
687. C2×C4×D4C2×D5semidirect
688. C2×C4×D4C2×D5semidirect
691. C2×#117C2×D5semidirect
900. #127C22×D5semidirect
905. #125C22×D5semidirect
920. #123C22×D5semidirect
921. #123C22×D5semidirect
944. #121C22×D5semidirect
945. #121C22×D5semidirect
946. #121C22×D5semidirect
947. #121C22×D5semidirect
971. C4×D4C22×D5semidirect
972. C4×D4C22×D5semidirect
975. #117C22×D5semidirect
1278. C2×C5#3543semidirect
1411. C5C2×#3543semidirect
1475. C2#10618394direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5402
#106183942
C2×#660492
C2×D5×#1272
C2×#660322
C2×#660252
C2×#660002
C2×#659882
C2×#659872
C2×#659972
C2×#659542
C2×#659462
C2×#659432
C2×#659412
C2×#659392
C2×#659332
C2×#658882
C2×D4×D202
C2×#658932
C2×#658872
C2×#658592
C2×#658622
C2×#35435