Finite Group Databasebeta

← #29848839

Subgroups — #29848839

Order 15616.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840295C211yesmaximal, characteristic, complemented
2C22×#14519735C211yesmaximal, characteristic, complemented
3#21450065C211yesmaximal, characteristic, complemented
4#21450046C211yesmaximal, characteristic, complemented
5#21450039C211yesmaximal, characteristic, complemented
6#21450018C211yesmaximal, characteristic, complemented
7#21450011C211yesmaximal, characteristic, complemented
8#21449983C211yesmaximal, characteristic, complemented
9#21449976C211yesmaximal, characteristic, complemented
10#21449957C211yesmaximal, characteristic, complemented
11#21449950C211yesmaximal, characteristic, complemented
12#21449925C211yesmaximal, characteristic, complemented
13#21449918C211yesmaximal, characteristic, complemented
14#21449628C211yesmaximal, characteristic, complemented
15#21449560C211yesmaximal, characteristic, complemented
16#21449357C211yesmaximal, characteristic
17#21449287C211yesmaximal, characteristic, complemented
18#21449092C211yesmaximal, characteristic, complemented
19#21449085C211yesmaximal, characteristic, complemented
20#21449081C211yesmaximal, characteristic, complemented
21#21449064C211yesmaximal, characteristic, complemented
22#21448347C211yesmaximal, characteristic, complemented
23#21448329C211yesmaximal, characteristic, complemented
24#21448324C211yesmaximal, characteristic, complemented
25#21448320C211yesmaximal, characteristic, complemented
26#21448311C211yesmaximal, characteristic, complemented
27#21448279C211yesmaximal, characteristic, complemented
28#21448259C211yesmaximal, characteristic, complemented
29#21448257C211yesmaximal, characteristic, complemented
30C4×#14519737C211yesmaximal, characteristic, complemented
31C61×#2481C211yesmaximal, characteristic, complemented
32C23×C4×D61C2211yescharacteristic
33#16840295—28no—
34C2×#14519771C2211yescharacteristic
35C2×#14519767C2211yescharacteristic, complemented
36C2×#14519763C2211yescharacteristic
37C2×#14519762C2211yescharacteristic
38C2×#14519759C2211yescharacteristic, complemented
39C2×#14519756C2211yescharacteristic
40C2×#14519755C2211yescharacteristic, complemented
41C2×#14519750C2211yescharacteristic
42C2×#14519749C2211yescharacteristic
43C2×#14519747C2211yescharacteristic
44C2×#14519745C2211yescharacteristic
45C2×#14519742C2211yescharacteristic, complemented
46C2×D4×Dic61C2211yescharacteristic
47C2×#14519739C2211yescharacteristic
48C2×#14519739C2211yescharacteristic
49C2×C4×C22⋊D61C2211yescharacteristic
50C2×#14519737C2211yescharacteristic
51C2×#14519737C2211yescharacteristic
52C2×#14519737C2211yescharacteristic
53C2×#14519737C2211yescharacteristic
54C2×#14519737C2211yescharacteristic, complemented
55C2×#14519735—28no—
56C2×#14519735C2211yescharacteristic
57C2×#14519735C2211yescharacteristic
58C2×#14519735C2211yescharacteristic
59C2×#14519735C2211yescharacteristic
60C2×#14519735C2211yescharacteristic
61C2×#14519735C2211yescharacteristic
62C2×#14519735C2211yescharacteristic
63C2×#14519735C2211yescharacteristic
64C2×#14519733C2211yescharacteristic, complemented
65C22×C4⋊Dic61C2211yescharacteristic
66C22×#11758198C2211yescharacteristic
67C22×#11758198C2211yescharacteristic
68C22×C4×Dic61C2211yescharacteristic
69C22×C4×Dic61C2211yescharacteristic
70C2×C42×D61C2211yescharacteristic, complemented
71#16839702C2211yescharacteristic, complemented
72#16839698C2211yescharacteristic, complemented
73#16839697C2211yescharacteristic
74#16839697C2211yescharacteristic, complemented
75#16839696C2211yescharacteristic, complemented
76#16839696C2211yescharacteristic, complemented
77#16839695C2211yescharacteristic, complemented
78#16839693C2211yescharacteristic, complemented
79#16839692C2211yescharacteristic, complemented
80#16839691C2211yescharacteristic
81#16839691C2211yescharacteristic
82#16839691C2211yescharacteristic
83#16839691C2211yescharacteristic
84#16839691C2211yescharacteristic
85#16839689C2211yescharacteristic, complemented
86#16839686C2211yescharacteristic
87#16839686C2211yescharacteristic
88#16839684C2211yescharacteristic, complemented
89#16839682C2211yescharacteristic, complemented
90#16839680C2211yescharacteristic
91#16839680C2211yescharacteristic
92#16839679C2211yescharacteristic
93#16839678C2211yescharacteristic
94#16839678C2211yescharacteristic, complemented
95#16839677C2211yescharacteristic
96#16839677C2211yescharacteristic
97#16839675C2211yescharacteristic
98#16839671C2211yescharacteristic
99#16839667C2211yescharacteristic, complemented
100#16839662C2211yescharacteristic
101#16839662C2211yescharacteristic
102#16839662C2211yescharacteristic, complemented
103#16839659C2211yescharacteristic, complemented
104#16839659C2211yescharacteristic, complemented
105#16839658C2211yescharacteristic, complemented
106#16839657C2211yescharacteristic, complemented
107#16839656C2211yescharacteristic, complemented
108#16839655C2211yescharacteristic, complemented
109#16839654C2211yescharacteristic
110#16839654C2211yescharacteristic, complemented
111#16839653C2211yescharacteristic
112#16839653C2211yescharacteristic
113#16839653C2211yescharacteristic
114#16839652C2211yescharacteristic
115#16839651C2211yescharacteristic
116#16839651C2211yescharacteristic
117#16839651C2211yescharacteristic
118#16839650C2211yescharacteristic, complemented
119#16839650C2211yescharacteristic, complemented
120#16839648C2211yescharacteristic, complemented
121#16839648C2211yescharacteristic, complemented
122#16839647C2211yescharacteristic, complemented
123#16839647C2211yescharacteristic, complemented
124#16839645C2211yescharacteristic, complemented
125#16839645C2211yescharacteristic, complemented
126#16839644C2211yescharacteristic, complemented
127#16839644C2211yescharacteristic, complemented
128#16839642C2211yescharacteristic
129#16839641C2211yescharacteristic
130#16839641C2211yescharacteristic
131#16839640C2211yescharacteristic
132#16839640C2211yescharacteristic
133#16839640C2211yescharacteristic
134#16839640C2211yescharacteristic
135#16839638C2211yescharacteristic
136#16839638C2211yescharacteristic
137#16839636C2211yescharacteristic
138#16839636C2211yescharacteristic
139#16839636C2211yescharacteristic, complemented
140#16839635C2211yescharacteristic
141#16839635C2211yescharacteristic
142#16839634C2211yescharacteristic
143#16839634C2211yescharacteristic
144#16839634C2211yescharacteristic
145#16839633C2211yescharacteristic
146#16839633C2211yescharacteristic
147#16839633C2211yescharacteristic, complemented
148#16839620C2211yescharacteristic
149#16839617C2211yescharacteristic
150#16839617C2211yescharacteristic
151C4⋊C4×Dic61C2211yescharacteristic, complemented
152C4×#11758196C2211yescharacteristic, complemented
153#16839613C2211yescharacteristic, complemented
154#16839613C2211yescharacteristic, complemented
155#16839613C2211yescharacteristic, complemented
156#16839613C2211yescharacteristic, complemented
157#16839613C2211yescharacteristic, complemented
158#16839613C2211yescharacteristic, complemented
159C22⋊C4×Dic61C2211yescharacteristic
160C22⋊C4×Dic61C2211yescharacteristic
161C22⋊C4×Dic61C2211yescharacteristic
162C22⋊C4×Dic61C2211yescharacteristic, complemented
163C22⋊C4×Dic61C2211yescharacteristic, complemented
164C4×#11758198C2211yescharacteristic, complemented
165#16839609C2211yescharacteristic
166#16839609C2211yescharacteristic
167#16839609C2211yescharacteristic
168#16839609C2211yescharacteristic
169#16839609C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic, complemented
171#16839609C2211yescharacteristic, complemented
172#16839607C2211yescharacteristic, complemented
173C42×Dic61C2211yescharacteristic, complemented
174C2×#126×C61C2211yescharacteristic, complemented
175C22×C4⋊C4×C61C2211yescharacteristic
176C61×#400C2211yescharacteristic, complemented
177C61×#400C2211yescharacteristic, complemented
178C61×#397C2211yescharacteristic, complemented
179C61×#396C2211yescharacteristic, complemented
180C61×#388C2211yescharacteristic, complemented
181C61×#387C2211yescharacteristic, complemented
182C61×#387C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#385C2211yescharacteristic
187C61×#380C2211yescharacteristic
188C4×C22⋊C4×C61C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C22×C4×D61—24no—
202C22×C4×D61—24no—
203C22×C4×D61—24no—
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211#14519771—24no—
212#14519767—24no—
213#14519763—24no—
214#14519762—24no—
215#14519759—24no—
216#14519756—24no—
217#14519755—24no—
218#14519750—24no—
219#14519749—24no—
220#14519747—24no—
221#14519745—24no—
222#14519742—24no—
223D4×Dic61—24no—
224#14519739—24no—
225#14519739—24no—
226C4×C22⋊D61—24no—
227#14519737—24no—
228#14519737—24no—
229#14519737—24no—
230#14519737—24no—
231#14519737—24no—
232#14519735—24no—
233#14519735—24no—
234#14519735—24no—
235#14519735—24no—
236#14519735—24no—
237#14519735—24no—
238#14519735—24no—
239#14519735D418yescomplemented
240#14519733—24no—
241C2×C4⋊Dic61—24no—
242C2×C4⋊Dic61C2311yescharacteristic
243C2×C4⋊Dic61C2311yescharacteristic
244C2×C4⋊Dic61C2311yescharacteristic
245C2×C4⋊Dic61C2311yescharacteristic
246C2×C4⋊Dic61C2311yescharacteristic
247C2×C4⋊Dic61C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×#11758198—24no—
274C2×#11758198—24no—
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×C4×Dic61—24no—
304C2×C4×Dic61—24no—
305C2×C4×Dic61C2311yescharacteristic
306C2×C4×Dic61C2311yescharacteristic
307C2×C4×Dic61C2311yescharacteristic
308C2×C4×Dic61C2311yescharacteristic
309C2×C4×Dic61C2311yescharacteristic
310C2×C4×Dic61C2311yescharacteristic
311C2×C4×Dic61C2311yescharacteristic
312C2×C4×Dic61C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
314C2×C4×Dic61C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
316C2×C4×Dic61C2311yescharacteristic
317C2×C4×Dic61C2311yescharacteristic
318C2×C4×Dic61C2311yescharacteristic
319C2×C4×Dic61C2311yescharacteristic
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C42×D61—24no—
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348C22×D4×C61C2311yescharacteristic
349C23×C4×C61C2311yescharacteristic
350C23×C4×C61C2311yescharacteristic
351C23×C4×C61C2311yescharacteristic
352#126×C61—24no—
353C2×C4⋊C4×C61—24no—
354C2×C4⋊C4×C61C2311yescharacteristic
355C2×C4⋊C4×C61C2311yescharacteristic
356C2×C4⋊C4×C61C2311yescharacteristic
357C2×C4⋊C4×C61C2311yescharacteristic
358C2×C4⋊C4×C61C2311yescharacteristic
359C2×C4⋊C4×C61C2311yescharacteristic
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C42×C61C2311yescharacteristic
372C2×C42×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376#95×C61C2311yescharacteristic
377#95×C61C2311yescharacteristic
378#95×C61C2311yescharacteristic
379#95×C61C2311yescharacteristic
380#95×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382#95×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385C24×C61C2411yescharacteristic
386C24×C61C2411yescharacteristic
387C23×D61—22no—
388C23×D61—22no—
389C23×D61—22no—
390C23×D61—22no—
391C23×D61—22no—
392C23×D61—41no—
393C23×D61—41no—
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C2×D4×C61—22no—
398C2×D4×C61—22no—
399C2×D4×C61—22no—
400C22×C4×C61—22no—
401C22×C4×C61—22no—
402C22×C4×C61—22no—
403C22×C4×C61—22no—
404C22×C4×C61—22no—
405C22×C4×C61—22no—
406C22×C4×C61—22no—
407C22×C4×C61—41no—
408C22×C4×C61—41no—
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C2×C22⋊D61—22no—
423C2×C22⋊D61—22no—
424C2×C22⋊D61—22no—
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C2×C22⋊D61—22no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61—41no—
432C2×C22⋊D61—41no—
433C2×C22⋊D61#4114yes—
434C22×Dic61—22no—
435C22×Dic61—22no—
436C22×Dic61—22no—
437C22×Dic61—22no—
438C22×Dic61—22no—
439C22×Dic61—22no—
440C22×Dic61—22no—
441C22×Dic61—22no—
442C22×Dic61—22no—
443C22×Dic61—41no—
444C22×Dic61—41no—
445C22×Dic61#4114yes—
446C22×Dic61C2411yescharacteristic
447C22×Dic61C2411yescharacteristic
448C22×Dic61C2411yescharacteristic
449C22×Dic61C2411yescharacteristic
450C22×Dic61C2411yescharacteristic
451C22×Dic61C2411yescharacteristic
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C2×D244—22no—
460C2×D244—22no—
461C2×D244—22no—
462C2×D244—22no—
463C2×D244—41no—
464C2×D244—41no—
465C2×C4×D61—232no—
466C2×C4×D61—22no—
467C2×C4×D61—22no—
468C2×C4×D61—22no—
469C2×C4×D61—22no—
470C2×C4×D61—22no—
471C2×C4×D61—22no—
472C2×C4×D61—22no—
473C2×C4×D61—22no—
474C2×C4×D61—22no—
475C2×C4×D61—22no—
476C2×C4×D61—22no—
477C2×C4×D61—22no—
478C2×C4×D61—22no—
479C2×C4×D61—22no—
480C2×C4×D61—22no—
481C2×C4×D61—22no—
482C2×C4×D61—22no—
483C2×C4×D61—41no—
484C2×C4×D61—41no—
485C2×C4×D61C2×D414yes—
486C2×C4×D61#4114yes—
487C2×Dic122—22no—
488C2×Dic122—22no—
489C2×Dic122—41no—
490C4⋊C4×C61—22no—
491C4⋊C4×C61—22no—
492C4⋊C4×C61—22no—
493C4⋊C4×C61—22no—
494C4⋊C4×C61—22no—
495C4⋊C4×C61—22no—
496C4⋊C4×C61—41no—
497C4⋊C4×C61C2×D414yes—
498C22⋊C4×C61—22no—
499C22⋊C4×C61—22no—
500C22⋊C4×C61—22no—
501C22⋊C4×C61—22no—
502C22⋊C4×C61—22no—
503C22⋊C4×C61—22no—
504C22⋊C4×C61—22no—
505C22⋊C4×C61—41no—
506C22⋊C4×C61—41no—
507C42×C61—22no—
508C42×C61—41no—
509C22⋊Dic61—22no—
510C22⋊Dic61—22no—
511C22⋊Dic61—22no—
512C22⋊Dic61—22no—
513C22⋊Dic61—22no—
514C22⋊Dic61—41no—
515C22⋊Dic61#4114yes—
516#11758198—22no—
517#11758198—22no—
518#11758198—22no—
519#11758198—22no—
520#11758198—22no—
521#11758198—22no—
522#11758198—22no—
523#11758198—22no—
524#11758198—22no—
525#11758198—22no—
526#11758198—22no—
527#11758198—22no—
528#11758198—22no—
529#11758198—22no—
530#11758198—22no—
531#11758198—22no—
532#11758198—22no—
533#11758198—22no—
534#11758198—22no—
535#11758198—22no—
536#11758198—22no—
537#11758198—41no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198C2×D414yes—
543#11758198C2×D414yes—
544C4⋊Dic61—22no—
545C4⋊Dic61—22no—
546C4⋊Dic61—22no—
547C4⋊Dic61—22no—
548C4⋊Dic61—22no—
549C4⋊Dic61C2×D414yes—
550#11758196—22no—
551#11758196—22no—
552#11758196—22no—
553#11758196—22no—
554#11758196—22no—
555#11758196—22no—
556#11758196—22no—
557#11758196—22no—
558#11758196—22no—
559#11758196—22no—
560#11758196—22no—
561#11758196—22no—
562#11758196—22no—
563#11758196—41no—
564#11758196—41no—
565#11758196—41no—
566#11758196—41no—
567#11758196—41no—
568C4×Dic61—22no—
569C4×Dic61—22no—
570C4×Dic61—22no—
571C4×Dic61—22no—
572C4×Dic61—22no—
573C4×Dic61—22no—
574C4×Dic61—22no—
575C4×Dic61—22no—
576C4×Dic61—22no—
577C4×Dic61—22no—
578C4×Dic61—22no—
579C4×Dic61—22no—
580C4×Dic61—22no—
581C4×Dic61—22no—
582C4×Dic61—22no—
583C4×Dic61—41no—
584C4×Dic61C2×D414yes—
585C4×Dic61C2×D414yes—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61C2×#4112yes—
598C23×C61C2×#4112yes—
599C23×C61C2×#4112yes—
600C23×C61C2511yescharacteristic
601C22×D61—28no—
602C22×D61—21no—
603C22×D61—21no—
604C22×D61—21no—
605C22×D61—21no—
606C22×D61—21no—
607C22×D61—21no—
608C22×D61—21no—
609C22×D61—21no—
610C22×D61—21no—
611C22×D61—21no—
612C22×D61—21no—
613C22×D61—21no—
614C22×D61—21no—
615C22×D61—21no—
616C22×D61—21no—
617C22×D61—21no—
618C22×D61—21no—
619C22×D61—21no—
620C22×D61—44no—
621C22×D61—44no—
622C22×D61—44no—
623C22×D61—44no—
624C22×D61—44no—
625C22×D61—44no—
626C22×D61C22×D412yes—
627C22×D61C2×#4112yes—
628C22×D61C2×#4112yes—
629D4×C61—44no—
630C2×C4×C61—28no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—44no—
667C2×C4×C61—44no—
668C2×C4×C61C22×D412yes—
669C2×C4×C61C22×D412yes—
670C2×C4×C61C22×D412yes—
671C2×C4×C61C2×#4112yes—
672C22⋊D61—28no—
673C22⋊D61—44no—
674C22⋊D61—44no—
675C22⋊D61—44no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—28no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—44no—
708C2×Dic61—44no—
709C2×Dic61—44no—
710C2×Dic61C22×D412yes—
711C2×Dic61C22×D412yes—
712C2×Dic61C22×D412yes—
713C2×Dic61C2×#4112yes—
714C2×Dic61C2×#4112yes—
715C2×Dic61C2×#4112yes—
716C2×Dic61C2×#4112yes—
717C2×Dic61C2×#4112yes—
718C2×Dic61C2×#4112yes—
719D244—44no—
720D244—44no—
721C4×D61—28no—
722C4×D61—28no—
723C4×D61—28no—
724C4×D61—28no—
725C4×D61—44no—
726C4×D61—44no—
727C4×D61—44no—
728Dic122—44no—
729#34740—611nomaximal, Sylow
730C22×C61—22no—
731C22×C61—22no—
732C22×C61—22no—
733C22×C61—22no—
734C22×C61—22no—
735C22×C61—22no—
736C22×C61—41no—
737C22×C61—41no—
738C22×C61—41no—
739C22×C61—41no—
740C22×C61—41no—
741C22×C61—41no—
742C22×C61—41no—
743C22×C61#52914yescomplemented
744C22×C61C23×D411yescharacteristic
745C22×C61C22×#4111yescharacteristic
746C22×C61C22×#4111yescharacteristic
747C22×C61C22×#4111yescharacteristic
748C22×C61C22×#4111yescharacteristic
749C22×C61#58511yescharacteristic
750C22×C61#58511yescharacteristic
751C2×D61—22no—
752C2×D61—22no—
753C2×D61—22no—
754C2×D61—22no—
755C2×D61—22no—
756C2×D61—22no—
757C2×D61—22no—
758C2×D61—22no—
759C2×D61—22no—
760C2×D61—416no—
761C2×D61—41no—
762C2×D61—41no—
763C2×D61—41no—
764C2×D61—41no—
765C2×D61—41no—
766C2×D61—41no—
767C2×D61—41no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61—41no—
773C4×C61—22no—
774C4×C61—22no—
775C4×C61—22no—
776C4×C61—22no—
777C4×C61—41no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786Dic61—22no—
787Dic61—22no—
788Dic61—22no—
789Dic61—22no—
790Dic61—22no—
791Dic61—22no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61#52514yes—
799C2×#529—611no—
800C22×#117—611no—
801#2481D6111yescharacteristic, complemented
802#2480—611no—
803#2479—611no—
804#2478—611no—
805#2477—611no—
806#2476—611no—
807#2475—611no—
808#2474—611no—
809#2473—611no—
810#2472—611no—
811#2471—611no—
812#2470—611no—
813#2449—611no—
814#2443—611no—
815#2424—611no—
816#2418—611no—
817#2396—611no—
818#2395—611no—
819#2395—611no—
820#2392—611no—
821C4×C22⋊Q8—611no—
822C4×#121—611no—
823C4×#120—611no—
824C4×#120—611no—
825#2298—611no—
826#2293—611no—
827#2290—611no—
828#2290—611no—
829C42×D4—611no—
830C2×C61—24no—
831C2×C61—81no—
832C2×C61C2×#52511yescharacteristic
833C2×C61C2×#52911yescharacteristic
834C2×C61#345511yescharacteristic
835C2×C61D4×#4111yescharacteristic
836C2×C61D4×#4111yescharacteristic
837C2×C61#347511yescharacteristic
838C2×C61#347511yescharacteristic
839D61—42no—
840D61—42no—
841D61—42no—
842C24×C4—611no—
843#529—1228no—
844C2×#126—611no—
845C2×#126C2×D6111yescharacteristic, complemented
846C2×#125—611no—
847C2×#124—611no—
848C2×#123—611no—
849C2×#123—611no—
850C2×C22⋊Q8—611no—
851C2×C22⋊Q8—611no—
852C2×#121—611no—
853C2×#121—611no—
854C2×#120—611no—
855C2×#120—611no—
856C2×C4×Q8—611no—
857C2×C4×D4—611no—
858C2×C4×D4—611no—
859C2×C4×D4—611no—
860C2×C4×D4—611no—
861C2×C4×D4—611no—
862C2×C4×D4—611no—
863C2×C4×D4—611no—
864C2×C4×D4—611no—
865C2×C4×D4—611no—
866C2×#117—611no—
867C2×#117—611no—
868C2×#117—611no—
869C2×#117—611no—
870C2×#117—611no—
871C2×#117—611no—
872C2×#117—611no—
873C2×#117—611no—
874C2×#117—611no—
875C2×#117—1228no—
876C22×C4⋊C4—611no—
877C22×C4⋊C4C2×D6111yescharacteristic
878C22×C22⋊C4—611no—
879C22×C22⋊C4—611no—
880C22×C42—611no—
881C22×C42—611no—
882C22×C42—611no—
883#400—611no—
884#400C2×D6111yescharacteristic, complemented
885#400C2×D6111yescharacteristic, complemented
886#399—611no—
887#399—611no—
888#399—611no—
889#398—611no—
890#398—611no—
891#398—611no—
892#398—611no—
893#398—611no—
894#397—611no—
895#397—611no—
896#397—611no—
897#397—611no—
898#397—611no—
899#397—611no—
900#397C2×D6111yescharacteristic, complemented
901#396—611no—
902#396—611no—
903#396—611no—
904#396C2×D6111yescharacteristic, complemented
905#395—611no—
906#394—611no—
907#394—611no—
908#394—611no—
909#394—611no—
910#394—611no—
911#394—611no—
912#394—611no—
913#393—611no—
914#392—611no—
915#391—611no—
916#390—611no—
917#390—611no—
918#390—611no—
919#389—611no—
920#389—611no—
921#389—611no—
922#389—611no—
923#388—611no—
924#388—611no—
925#388—611no—
926#388—611no—
927#388—611no—
928#388—611no—
929#388—611no—
930#388—611no—
931#388—611no—
932#388—611no—
933#388—611no—
934#388—611no—
935#388—611no—
936#388C2×D6111yescharacteristic, complemented
937#387—611no—
938#387—611no—
939#387—611no—
940#387—611no—
941#387—611no—
942#387—611no—
943#387—611no—
944#387—611no—
945#387C2×D6111yescharacteristic, complemented
946#387C2×D6111yescharacteristic, complemented
947#386—611no—
948#386—611no—
949#386—611no—
950#386—611no—
951#386—611no—
952#386—611no—
953#386—611no—
954#386—611no—
955#386—611no—
956#386C2×D6111yescharacteristic
957#386C2×D6111yescharacteristic
958#386C2×D6111yescharacteristic
959#385—611no—
960#385—611no—
961#385—611no—
962#385—611no—
963#385—611no—
964#385—611no—
965#385—611no—
966#385—611no—
967#385—611no—
968#385—611no—
969#385—611no—
970#385C2×D6111yescharacteristic
971#380—611no—
972#380C2×D6111yescharacteristic
973#379—611no—
974#379—611no—
975C4×C4⋊C4—611no—
976C4×C4⋊C4—611no—
977C4×C4⋊C4—611no—
978C4×C4⋊C4—611no—
979C4×C4⋊C4—611no—
980C4×C4⋊C4—611no—
981C4×C4⋊C4—611no—
982C4×C4⋊C4—611no—
983C4×C22⋊C4—611no—
984C4×C22⋊C4—611no—
985C4×C22⋊C4—611no—
986C4×C22⋊C4—611no—
987C4×C22⋊C4—611no—
988C4×C22⋊C4—611no—
989C4×C22⋊C4—611no—
990C4×C22⋊C4—611no—
991C4×C22⋊C4—611no—
992C4×C22⋊C4—611no—
993C4×C22⋊C4—611no—
994C4×C22⋊C4—611no—
995C4×C22⋊C4—611no—
996C4×C22⋊C4C2×D6111yescharacteristic
997#376—611no—
998C43—611no—
999C61#3474011yescharacteristic, complemented, Sylow
1000C25—611no—
1001C22×Q8—611no—
1002C22×D4—611no—
1003C22×D4—611no—
1004C22×D4—611no—
1005C22×D4—611no—
1006C22×D4—611no—
1007C22×D4—611no—
1008C22×D4C22×D6111yescharacteristic
1009C23×C4—611no—
1010C23×C4—611no—
1011C23×C4—611no—
1012C23×C4—611no—
1013C23×C4—611no—
1014C23×C4—611no—
1015C23×C4—611no—
1016C23×C4—611no—
1017C23×C4—611no—
1018C23×C4—611no—
1019C23×C4—611no—
1020C23×C4—1224no—
1021C23×C4—1224no—
1022C23×C4—1224no—
1023C23×C4C22×D6111yescharacteristic
1024C23×C4C22×D6111yescharacteristic
1025C23×C4C22×D6111yescharacteristic
1026#126—24no—
1027#126—1224no—
1028#125—1224no—
1029#124—1224no—
1030#123—1224no—
1031#123—1224no—
1032C22⋊Q8—1224no—
1033C22⋊Q8—1224no—
1034#121—1224no—
1035#121—1224no—
1036#120—1224no—
1037#120—1224no—
1038C4×Q8—1224no—
1039C4×D4—1224no—
1040C4×D4—1224no—
1041C4×D4—1224no—
1042C4×D4—1224no—
1043C4×D4—1224no—
1044C4×D4—1224no—
1045C4×D4—1224no—
1046C4×D4—1224no—
1047C4×D4—1224no—
1048#117—618no—
1049#117—1224no—
1050#117—1224no—
1051#117—1224no—
1052#117—1224no—
1053#117—1224no—
1054#117—1224no—
1055#117—1224no—
1056#117—1224no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—611no—
1059C2×C4⋊C4—611no—
1060C2×C4⋊C4—611no—
1061C2×C4⋊C4—611no—
1062C2×C4⋊C4—611no—
1063C2×C4⋊C4—611no—
1064C2×C4⋊C4—611no—
1065C2×C4⋊C4—611no—
1066C2×C4⋊C4—611no—
1067C2×C4⋊C4—611no—
1068C2×C4⋊C4—611no—
1069C2×C4⋊C4—611no—
1070C2×C4⋊C4—611no—
1071C2×C4⋊C4—611no—
1072C2×C4⋊C4—611no—
1073C2×C4⋊C4—611no—
1074C2×C4⋊C4—611no—
1075C2×C4⋊C4—611no—
1076C2×C4⋊C4—611no—
1077C2×C4⋊C4—611no—
1078C2×C4⋊C4—611no—
1079C2×C4⋊C4—611no—
1080C2×C4⋊C4—611no—
1081C2×C4⋊C4—611no—
1082C2×C4⋊C4—1224no—
1083C2×C4⋊C4C22×D6111yescharacteristic
1084C2×C4⋊C4C22×D6111yescharacteristic
1085C2×C4⋊C4C22×D6111yescharacteristic
1086C2×C4⋊C4C22×D6111yescharacteristic
1087C2×C4⋊C4C22×D6111yescharacteristic
1088C2×C4⋊C4C22×D6111yescharacteristic
1089C2×C4⋊C4C22×D6111yescharacteristic
1090C2×C4⋊C4C22×D6111yescharacteristic
1091C2×C22⋊C4—611no—
1092C2×C22⋊C4—611no—
1093C2×C22⋊C4—611no—
1094C2×C22⋊C4—611no—
1095C2×C22⋊C4—611no—
1096C2×C22⋊C4—611no—
1097C2×C22⋊C4—611no—
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—611no—
1100C2×C22⋊C4—611no—
1101C2×C22⋊C4—611no—
1102C2×C22⋊C4—611no—
1103C2×C22⋊C4—611no—
1104C2×C22⋊C4—611no—
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—611no—
1121C2×C22⋊C4—611no—
1122C2×C22⋊C4—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—611no—
1125C2×C22⋊C4—611no—
1126C2×C22⋊C4—1224no—
1127C2×C22⋊C4—1224no—
1128C2×C22⋊C4C22×D6111yescharacteristic
1129C2×C22⋊C4C22×D6111yescharacteristic
1130C2×C22⋊C4C22×D6111yescharacteristic
1131C2×C22⋊C4C22×D6111yescharacteristic
1132C2×C22⋊C4C22×D6111yescharacteristic
1133C2×C22⋊C4C22×D6111yescharacteristic
1134C2×C22⋊C4C22×D6111yescharacteristic
1135C2×C22⋊C4C22×D6111yescharacteristic
1136C2×C22⋊C4C22×D6111yescharacteristic
1137C2×C42—611no—
1138C2×C42—611no—
1139C2×C42—611no—
1140C2×C42—611no—
1141C2×C42—611no—
1142C2×C42—611no—
1143C2×C42—611no—
1144C2×C42—611no—
1145C2×C42—611no—
1146C2×C42—611no—
1147C2×C42—611no—
1148C2×C42—611no—
1149C2×C42—611no—
1150C2×C42—611no—
1151C2×C42—611no—
1152C2×C42—611no—
1153C2×C42—611no—
1154C2×C42—611no—
1155C2×C42—1224no—
1156C2×C42—1224no—
1157C2×C42—1224no—
1158C2×C42C22×D6111yescharacteristic
1159C2×C42C22×D6111yescharacteristic
1160#95—611no—
1161#95—611no—
1162#95—611no—
1163#95—611no—
1164#95—611no—
1165#95—611no—
1166#95—611no—
1167#95—611no—
1168#95—611no—
1169#95—611no—
1170#95—611no—
1171#95—611no—
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95—611no—
1180#95—611no—
1181#95—611no—
1182#95—611no—
1183#95—611no—
1184#95C22×D6111yescharacteristic
1185#95C22×D6111yescharacteristic
1186#95C22×D6111yescharacteristic
1187#95C22×D6111yescharacteristic
1188#95C22×D6111yescharacteristic
1189#95C22×D6111yescharacteristic
1190#95C22×D6111yescharacteristic
1191#95C22×D6111yescharacteristic
1192#95C22×D6111yescharacteristic
1193#95C22×D6111yescharacteristic
1194#95C22×D6111yescharacteristic
1195#95C22×D6111yescharacteristic
1196C24—611no—
1197C24—611no—
1198C24—611no—
1199C24—1222no—
1200C24—1222no—
1201C24—1222no—
1202C24—1222no—
1203C24—1222no—
1204C24—2441no—
1205C24—2441no—
1206C24C23×D6111yescharacteristic
1207C24C23×D6111yescharacteristic
1208C2×Q8—1222no—
1209C2×Q8—1222no—
1210C2×Q8—2441no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—614no—
1215C2×D4—1222no—
1216C2×D4—1222no—
1217C2×D4—1222no—
1218C2×D4—1222no—
1219C2×D4—1222no—
1220C2×D4—1222no—
1221C2×D4—1222no—
1222C2×D4—1222no—
1223C2×D4—1222no—
1224C2×D4—1222no—
1225C2×D4—1222no—
1226C2×D4—1222no—
1227C2×D4—2441no—
1228C2×D4—2441no—
1229C2×D4—2441no—
1230C2×D4—2441no—
1231C2×D4—2441no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—611no—
1242C22×C4—614no—
1243C22×C4—611no—
1244C22×C4—611no—
1245C22×C4—611no—
1246C22×C4—611no—
1247C22×C4—611no—
1248C22×C4—611no—
1249C22×C4—614no—
1250C22×C4—614no—
1251C22×C4—611no—
1252C22×C4—611no—
1253C22×C4—611no—
1254C22×C4—611no—
1255C22×C4—611no—
1256C22×C4—611no—
1257C22×C4—1222no—
1258C22×C4—1222no—
1259C22×C4—1222no—
1260C22×C4—1222no—
1261C22×C4—1222no—
1262C22×C4—1222no—
1263C22×C4—1222no—
1264C22×C4—1222no—
1265C22×C4—1222no—
1266C22×C4—1222no—
1267C22×C4—1222no—
1268C22×C4—1222no—
1269C22×C4—1222no—
1270C22×C4—12232no—
1271C22×C4—1222no—
1272C22×C4—1222no—
1273C22×C4—1222no—
1274C22×C4—1222no—
1275C22×C4—1222no—
1276C22×C4—1222no—
1277C22×C4—1222no—
1278C22×C4—1222no—
1279C22×C4—1222no—
1280C22×C4—1222no—
1281C22×C4—1222no—
1282C22×C4—1222no—
1283C22×C4—1222no—
1284C22×C4—2441no—
1285C22×C4—2441no—
1286C22×C4—2441no—
1287C22×C4—2441no—
1288C22×C4C23×D6111yescharacteristic
1289C22×C4C23×D6111yescharacteristic
1290C22×C4C23×D6111yescharacteristic
1291C22×C4C23×D6111yescharacteristic
1292C22×C4C23×D6111yescharacteristic
1293C22×C4C23×D6111yescharacteristic
1294C22×C4C23×D6111yescharacteristic
1295C22×C4C23×D6111yescharacteristic
1296C22×C4C23×D6111yescharacteristic
1297C22×C4C23×D6111yescharacteristic
1298C22×C4C23×D6111yescharacteristic
1299C22×C4C23×D6111yescharacteristic
1300C22×C4C23×D6111yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—614no—
1309C4⋊C4—1222no—
1310C4⋊C4—1222no—
1311C4⋊C4—1222no—
1312C4⋊C4—1222no—
1313C4⋊C4—1222no—
1314C4⋊C4—1222no—
1315C4⋊C4—1222no—
1316C4⋊C4—1222no—
1317C4⋊C4—1222no—
1318C4⋊C4—1222no—
1319C4⋊C4—1222no—
1320C4⋊C4—1222no—
1321C4⋊C4—1222no—
1322C4⋊C4—1222no—
1323C4⋊C4—1222no—
1324C4⋊C4—1222no—
1325C4⋊C4—1222no—
1326C4⋊C4—1222no—
1327C4⋊C4—2441no—
1328C4⋊C4—2441no—
1329C4⋊C4—2441no—
1330C4⋊C4—2441no—
1331C4⋊C4—2441no—
1332C4⋊C4D4×D6114yes—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—614no—
1343C22⋊C4—614no—
1344C22⋊C4—614no—
1345C22⋊C4—1222no—
1346C22⋊C4—1222no—
1347C22⋊C4—1222no—
1348C22⋊C4—1222no—
1349C22⋊C4—1222no—
1350C22⋊C4—1222no—
1351C22⋊C4—1222no—
1352C22⋊C4—1222no—
1353C22⋊C4—1222no—
1354C22⋊C4—1222no—
1355C22⋊C4—1222no—
1356C22⋊C4—1222no—
1357C22⋊C4—1222no—
1358C22⋊C4—1222no—
1359C22⋊C4—1222no—
1360C22⋊C4—1222no—
1361C22⋊C4—1222no—
1362C22⋊C4—1222no—
1363C22⋊C4—1222no—
1364C22⋊C4—1222no—
1365C22⋊C4—1222no—
1366C22⋊C4—1222no—
1367C22⋊C4—1222no—
1368C22⋊C4—1222no—
1369C22⋊C4—1222no—
1370C22⋊C4—1222no—
1371C22⋊C4—2441no—
1372C22⋊C4—2441no—
1373C22⋊C4—2441no—
1374C22⋊C4—2441no—
1375C22⋊C4—2441no—
1376C22⋊C4—2441no—
1377C42—22no—
1378C42—41no—
1379C42—614no—
1380C42—614no—
1381C42—1222no—
1382C42—1222no—
1383C42—1222no—
1384C42—1222no—
1385C42—1222no—
1386C42—1222no—
1387C42—1222no—
1388C42—1222no—
1389C42—1222no—
1390C42—1222no—
1391C42—1222no—
1392C42—1222no—
1393C42—1222no—
1394C42—1222no—
1395C42—1222no—
1396C42—2441no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—612no—
1409C23—612no—
1410C23—612no—
1411C23—1228no—
1412C23—1221no—
1413C23—1221no—
1414C23—1221no—
1415C23—1221no—
1416C23—1221no—
1417C23—1221no—
1418C23—1221no—
1419C23—1221no—
1420C23—1221no—
1421C23—1221no—
1422C23—1221no—
1423C23—1221no—
1424C23—1221no—
1425C23—1221no—
1426C23—1221no—
1427C23—1221no—
1428C23—1221no—
1429C23—1221no—
1430C23—2444no—
1431C23—2444no—
1432C23—2444no—
1433C23—2444no—
1434C23—2444no—
1435C23—2444no—
1436C23#41×D6112yes—
1437C23#41×D6112yes—
1438C23#41×D6112yes—
1439C23C24×D6111yescharacteristic
1440Q8—2444no—
1441D4—44no—
1442D4—1228no—
1443D4—2444no—
1444D4—2444no—
1445D4—2444no—
1446D4—2444no—
1447D4—2444no—
1448C2×C4—28no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—612no—
1487C2×C4—612no—
1488C2×C4—612no—
1489C2×C4—612no—
1490C2×C4—612no—
1491C2×C4—612no—
1492C2×C4—612no—
1493C2×C4—612no—
1494C2×C4—612no—
1495C2×C4—1228no—
1496C2×C4—1228no—
1497C2×C4—1228no—
1498C2×C4—1228no—
1499C2×C4—1228no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—1221no—
1504C2×C4—1221no—
1505C2×C4—1221no—
1506C2×C4—1221no—
1507C2×C4—1221no—
1508C2×C4—1221no—
1509C2×C4—1221no—
1510C2×C4—1221no—
1511C2×C4—1221no—
1512C2×C4—1221no—
1513C2×C4—1221no—
1514C2×C4—1221no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—1221no—
1526C2×C4—1221no—
1527C2×C4—1221no—
1528C2×C4—1221no—
1529C2×C4—1221no—
1530C2×C4—2444no—
1531C2×C4—2444no—
1532C2×C4—2444no—
1533C2×C4—2444no—
1534C2×C4—2444no—
1535C2×C4—2444no—
1536C2×C4C2×D4×D6112yes—
1537C2×C4C2×D4×D6112yes—
1538C2×C4C2×D4×D6112yes—
1539C2×C4#41×D6112yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—1222no—
1554C22—1222no—
1555C22—1222no—
1556C22—1222no—
1557C22—1222no—
1558C22—1222no—
1559C22—1222no—
1560C22—1222no—
1561C22—1222no—
1562C22—24416no—
1563C22—2441no—
1564C22—2441no—
1565C22—2441no—
1566C22—2441no—
1567C22—2441no—
1568C22—2441no—
1569C22—2441no—
1570C22—2441no—
1571C22—2441no—
1572C22—2441no—
1573C22—2441no—
1574C22—2441no—
1575C22#1684029514yescomplemented
1576C22C22×D4×D6111yescharacteristic
1577C22C2×#41×D6111yescharacteristic
1578C22C2×#41×D6111yescharacteristic
1579C22C2×#41×D6111yescharacteristic
1580C22C2×#41×D6111yescharacteristic
1581C22#1684059711yescharacteristic
1582C22#1684059911yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—614no—
1597C4—1222no—
1598C4—1222no—
1599C4—1222no—
1600C4—1222no—
1601C4—1222no—
1602C4—1222no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C4—2441no—
1608C4—2441no—
1609C2—24no—
1610C2—81no—
1611C2—2442no—
1612C2—2442no—
1613C2—2442no—
1614C2#525×D6111yescharacteristic
1615C2C2×#1684029511yescharacteristic
1616C2#2145920511yescharacteristic
1617C2#2145930311yescharacteristic
1618C2#2145930811yescharacteristic
1619C2#2145937211yescharacteristic
1620C2#2145937811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2481C2
prime radical#21449357C2
hypercenter#2481D61
hypocenterC61#34740
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. C2×#16840295C2semidirect
2. C22×#14519735C2semidirect
3. #21450065C2semidirect
4. #21450046C2semidirect
5. #21450039C2semidirect
6. #21450018C2semidirect
7. #21450011C2semidirect
8. #21449983C2semidirect
9. #21449976C2semidirect
10. #21449957C2semidirect
11. #21449950C2semidirect
12. #21449925C2semidirect
13. #21449918C2semidirect
14. #21449628C2semidirect
15. #21449560C2semidirect
17. #21449287C2semidirect
18. #21449092C2semidirect
19. #21449085C2semidirect
20. #21449081C2semidirect
21. #21449064C2semidirect
22. #21448347C2semidirect
23. #21448329C2semidirect
24. #21448324C2semidirect
25. #21448320C2semidirect
26. #21448311C2semidirect
27. #21448279C2semidirect
28. #21448259C2semidirect
29. #21448257C2semidirect
30. C4×#14519737C2semidirect
31. C61×#2481C2semidirect
35. C2×#14519767C22semidirect
38. C2×#14519759C22semidirect
40. C2×#14519755C22semidirect
45. C2×#14519742C22semidirect
54. C2×#14519737C22semidirect
64. C2×#14519733C22semidirect
70. C2×C42×D61C22semidirect
71. #16839702C22semidirect
72. #16839698C22semidirect
74. #16839697C22semidirect
75. #16839696C22semidirect
76. #16839696C22semidirect
77. #16839695C22semidirect
78. #16839693C22semidirect
79. #16839692C22semidirect
85. #16839689C22semidirect
88. #16839684C22semidirect
89. #16839682C22semidirect
94. #16839678C22semidirect
99. #16839667C22semidirect
102. #16839662C22semidirect
103. #16839659C22semidirect
104. #16839659C22semidirect
105. #16839658C22semidirect
106. #16839657C22semidirect
107. #16839656C22semidirect
108. #16839655C22semidirect
110. #16839654C22semidirect
118. #16839650C22semidirect
119. #16839650C22semidirect
120. #16839648C22semidirect
121. #16839648C22semidirect
122. #16839647C22semidirect
123. #16839647C22semidirect
124. #16839645C22semidirect
125. #16839645C22semidirect
126. #16839644C22semidirect
127. #16839644C22semidirect
139. #16839636C22semidirect
147. #16839633C22semidirect
151. C4⋊C4×Dic61C22semidirect
152. C4×#11758196C22semidirect
153. #16839613C22semidirect
154. #16839613C22semidirect
155. #16839613C22semidirect
156. #16839613C22semidirect
157. #16839613C22semidirect
158. #16839613C22semidirect
162. C22⋊C4×Dic61C22semidirect
163. C22⋊C4×Dic61C22semidirect
164. C4×#11758198C22semidirect
169. #16839609C22semidirect
170. #16839609C22semidirect
171. #16839609C22semidirect
172. #16839607C22semidirect
173. C42×Dic61C22semidirect
174. C2×#126×C61C22semidirect
176. C61×#400C22semidirect
177. C61×#400C22semidirect
178. C61×#397C22semidirect
179. C61×#396C22semidirect
180. C61×#388C22semidirect
181. C61×#387C22semidirect
182. C61×#387C22semidirect
239. #14519735D4semidirect
743. C22×C61#529semidirect
801. #2481D61semidirect
845. C2×#126C2×D61semidirect
884. #400C2×D61semidirect
885. #400C2×D61semidirect
900. #397C2×D61semidirect
904. #396C2×D61semidirect
936. #388C2×D61semidirect
945. #387C2×D61semidirect
946. #387C2×D61semidirect
999. C61#34740semidirect
1575. C22#16840295semidirect

Maximal subgroups

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

subgroupindex
C2×#168402952
C22×#145197352
#214500652
#214500462
#214500392
#214500182
#214500112
#214499832
#214499762
#214499572
#214499502
#214499252
#214499182
#214496282
#214495602
#214493572
#214492872
#214490922
#214490852
#214490812
#214490642
#214483472
#214483292
#214483242
#214483202
#214483112
#214482792
#214482592
#214482572
C4×#145197372
C61×#24812
#3474061