Finite Group Databasebeta

← #29848815

Subgroups — #29848815

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×#16840293C211yesmaximal, characteristic, complemented
2C22×#14519733C211yesmaximal, characteristic, complemented
3#21450082C211yesmaximal, characteristic, complemented
4#21450059C211yesmaximal, characteristic, complemented
5#21450056C211yesmaximal, characteristic, complemented
6#21450033C211yesmaximal, characteristic, complemented
7#21450024C211yesmaximal, characteristic, complemented
8#21450001C211yesmaximal, characteristic, complemented
9#21449993C211yesmaximal, characteristic, complemented
10#21449970C211yesmaximal, characteristic, complemented
11#21449967C211yesmaximal, characteristic, complemented
12#21449944C211yesmaximal, characteristic, complemented
13#21449931C211yesmaximal, characteristic, complemented
14#21449908C211yesmaximal, characteristic, complemented
15#21449622C211yesmaximal, characteristic, complemented
16#21449550C211yesmaximal, characteristic, complemented
17#21449277C211yesmaximal, characteristic, complemented
18#21449094C211yesmaximal, characteristic, complemented
19#21449075C211yesmaximal, characteristic, complemented
20#21449075C211yesmaximal, characteristic, complemented
21#21449054C211yesmaximal, characteristic, complemented
22#21448351C211yesmaximal, characteristic, complemented
23#121×Dic61C211yesmaximal, characteristic, complemented
24#120×Dic61C211yesmaximal, characteristic, complemented
25#120×Dic61C211yesmaximal, characteristic, complemented
26#21448313C211yesmaximal, characteristic, complemented
27#21448281C211yesmaximal, characteristic, complemented
28#21448259C211yesmaximal, characteristic, complemented
29#21448259C211yesmaximal, characteristic, complemented
30C4×D4×Dic61C211yesmaximal, characteristic, complemented
31C61×#2424C211yesmaximal, characteristic
32C24×Dic61C2211yescharacteristic
33#16840293—28no—
34C2×#14519770C2211yescharacteristic
35C2×#14519770C2211yescharacteristic, complemented
36C2×#14519768C2211yescharacteristic, complemented
37C2×#14519764C2211yescharacteristic
38C2×#14519758C2211yescharacteristic
39C2×#14519758C2211yescharacteristic, complemented
40C2×#14519756C2211yescharacteristic, complemented
41C2×#14519754C2211yescharacteristic
42C2×#14519742C2211yescharacteristic, complemented
43C2×D4×Dic61C2211yescharacteristic
44C2×D4×Dic61C2211yescharacteristic
45C2×D4×Dic61C2211yescharacteristic
46C2×D4×Dic61C2211yescharacteristic
47C2×D4×Dic61C2211yescharacteristic
48C2×D4×Dic61C2211yescharacteristic
49C2×D4×Dic61C2211yescharacteristic
50C2×D4×Dic61C2211yescharacteristic, complemented
51C2×#14519733—28no—
52C2×#14519733C2211yescharacteristic
53C2×#14519733C2211yescharacteristic
54C2×#14519733C2211yescharacteristic
55C2×#14519733C2211yescharacteristic
56C2×#14519733C2211yescharacteristic
57C2×#14519733C2211yescharacteristic
58C2×#14519733C2211yescharacteristic
59C2×#14519733C2211yescharacteristic
60C2×#14519733C2211yescharacteristic, complemented
61C22×#11758196C2211yescharacteristic
62C22×#11758196C2211yescharacteristic
63C22×C22⋊Dic61C2211yescharacteristic
64C22×C4×Dic61C2211yescharacteristic
65C22×C4×Dic61C2211yescharacteristic
66C22×C4×Dic61C2211yescharacteristic, complemented
67#16839704C2211yescharacteristic, complemented
68#16839704C2211yescharacteristic, complemented
69#16839703C2211yescharacteristic, complemented
70#16839698C2211yescharacteristic
71#16839698C2211yescharacteristic, complemented
72#16839698C2211yescharacteristic, complemented
73#16839695C2211yescharacteristic, complemented
74#16839695C2211yescharacteristic, complemented
75#16839695C2211yescharacteristic, complemented
76#16839694C2211yescharacteristic, complemented
77#16839692C2211yescharacteristic, complemented
78#16839690C2211yescharacteristic
79#16839690C2211yescharacteristic
80#16839690C2211yescharacteristic, complemented
81#16839690C2211yescharacteristic, complemented
82#16839687C2211yescharacteristic
83#16839687C2211yescharacteristic
84#16839687C2211yescharacteristic
85#16839685C2211yescharacteristic
86#16839685C2211yescharacteristic, complemented
87#16839685C2211yescharacteristic, complemented
88#16839682C2211yescharacteristic, complemented
89#16839676C2211yescharacteristic
90#16839676C2211yescharacteristic
91#16839676C2211yescharacteristic
92#16839676C2211yescharacteristic
93#16839676C2211yescharacteristic, complemented
94#16839674C2211yescharacteristic
95#16839666C2211yescharacteristic, complemented
96#16839665C2211yescharacteristic
97#16839665C2211yescharacteristic, complemented
98#16839661C2211yescharacteristic, complemented
99#16839660C2211yescharacteristic, complemented
100#16839658C2211yescharacteristic, complemented
101#16839657C2211yescharacteristic, complemented
102#16839656C2211yescharacteristic
103#16839656C2211yescharacteristic
104#16839656C2211yescharacteristic
105#16839656C2211yescharacteristic, complemented
106#16839656C2211yescharacteristic, complemented
107#16839655C2211yescharacteristic
108#16839655C2211yescharacteristic, complemented
109#16839655C2211yescharacteristic, complemented
110#16839650C2211yescharacteristic
111#16839650C2211yescharacteristic
112#16839650C2211yescharacteristic
113#16839650C2211yescharacteristic, complemented
114#16839650C2211yescharacteristic, complemented
115#16839649C2211yescharacteristic, complemented
116#16839647C2211yescharacteristic, complemented
117#16839647C2211yescharacteristic, complemented
118#16839647C2211yescharacteristic, complemented
119#16839646C2211yescharacteristic, complemented
120#16839645C2211yescharacteristic, complemented
121#16839645C2211yescharacteristic, complemented
122#16839644C2211yescharacteristic, complemented
123#16839643C2211yescharacteristic, complemented
124#16839643C2211yescharacteristic, complemented
125#16839642C2211yescharacteristic
126#16839642C2211yescharacteristic
127#16839642C2211yescharacteristic
128#16839642C2211yescharacteristic
129#16839642C2211yescharacteristic
130#16839642C2211yescharacteristic
131#16839642C2211yescharacteristic
132#16839642C2211yescharacteristic
133#16839642C2211yescharacteristic
134#16839642C2211yescharacteristic
135#16839637C2211yescharacteristic
136#16839637C2211yescharacteristic
137#16839637C2211yescharacteristic
138#16839637C2211yescharacteristic
139#16839637C2211yescharacteristic
140#16839637C2211yescharacteristic
141#16839635C2211yescharacteristic
142#16839635C2211yescharacteristic
143#16839635C2211yescharacteristic, complemented
144#16839634C2211yescharacteristic
145#16839634C2211yescharacteristic, complemented
146#16839622C2211yescharacteristic
147#16839620C2211yescharacteristic
148#16839618C2211yescharacteristic
149#16839618C2211yescharacteristic
150C4⋊C4×Dic61C2211yescharacteristic, complemented
151C4⋊C4×Dic61C2211yescharacteristic, complemented
152C4⋊C4×Dic61C2211yescharacteristic, complemented
153C4⋊C4×Dic61C2211yescharacteristic, complemented
154C4×C4⋊Dic61C2211yescharacteristic, complemented
155#16839613C2211yescharacteristic, complemented
156#16839613C2211yescharacteristic, complemented
157#16839613C2211yescharacteristic, complemented
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic
160C22⋊C4×Dic61C2211yescharacteristic
161C22⋊C4×Dic61C2211yescharacteristic
162C22⋊C4×Dic61C2211yescharacteristic
163C22⋊C4×Dic61C2211yescharacteristic
164C22⋊C4×Dic61C2211yescharacteristic
165C22⋊C4×Dic61C2211yescharacteristic, complemented
166C22⋊C4×Dic61C2211yescharacteristic, complemented
167C22⋊C4×Dic61C2211yescharacteristic, complemented
168C22⋊C4×Dic61C2211yescharacteristic, complemented
169C22⋊C4×Dic61C2211yescharacteristic, complemented
170C4×C22⋊Dic61C2211yescharacteristic
171C4×C22⋊Dic61C2211yescharacteristic, complemented
172#16839607C2211yescharacteristic, complemented
173C42×Dic61C2211yescharacteristic, complemented
174C2×#121×C61C2211yescharacteristic
175C2×#121×C61C2211yescharacteristic
176C2×#120×C61C2211yescharacteristic
177C2×#120×C61C2211yescharacteristic
178C2×C4×D4×C61C2211yescharacteristic
179C22×C22⋊C4×C61C2211yescharacteristic
180C61×#396C2211yescharacteristic
181C61×#394C2211yescharacteristic
182C61×#394C2211yescharacteristic
183C61×#392C2211yescharacteristic
184C61×#390C2211yescharacteristic
185C61×#388C2211yescharacteristic
186C61×#386C2211yescharacteristic
187C61×#386C2211yescharacteristic
188C61×#385C2211yescharacteristic
189C22×Dic122C2311yescharacteristic
190C23×Dic61—24no—
191C23×Dic61—24no—
192C23×Dic61—24no—
193C23×Dic61C2311yescharacteristic
194C23×Dic61C2311yescharacteristic
195C23×Dic61C2311yescharacteristic
196C23×Dic61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204#14519770—24no—
205#14519770—24no—
206#14519768—24no—
207#14519764—24no—
208#14519758—24no—
209#14519758—24no—
210#14519756—24no—
211#14519754—24no—
212#14519742—24no—
213D4×Dic61—24no—
214D4×Dic61—24no—
215D4×Dic61—24no—
216D4×Dic61—24no—
217D4×Dic61—24no—
218D4×Dic61—24no—
219D4×Dic61—24no—
220D4×Dic61—24no—
221#14519733—24no—
222#14519733—24no—
223#14519733—24no—
224#14519733—24no—
225#14519733—24no—
226#14519733—24no—
227#14519733—24no—
228#14519733—24no—
229#14519733D418yescomplemented
230C2×C4⋊Dic61C2311yescharacteristic
231C2×C4⋊Dic61C2311yescharacteristic
232C2×C4⋊Dic61C2311yescharacteristic
233C2×C4⋊Dic61C2311yescharacteristic
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×C4⋊Dic61C2311yescharacteristic
239C2×C4⋊Dic61C2311yescharacteristic
240C2×#11758196—24no—
241C2×#11758196—24no—
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
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×C22⋊Dic61—24no—
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C4×Dic61—24no—
291C2×C4×Dic61—24no—
292C2×C4×Dic61—24no—
293C2×C4×Dic61C2311yescharacteristic
294C2×C4×Dic61C2311yescharacteristic
295C2×C4×Dic61C2311yescharacteristic
296C2×C4×Dic61C2311yescharacteristic
297C2×C4×Dic61C2311yescharacteristic
298C2×C4×Dic61C2311yescharacteristic
299C2×C4×Dic61C2311yescharacteristic
300C2×C4×Dic61C2311yescharacteristic
301C2×C4×Dic61C2311yescharacteristic
302C2×C4×Dic61C2311yescharacteristic
303C2×C4×Dic61C2311yescharacteristic
304C2×C4×Dic61C2311yescharacteristic
305C2×C4×Dic61C2311yescharacteristic
306C2×C4×Dic61C2311yescharacteristic
307C2×C4×Dic61C2311yescharacteristic
308C2×C4×Dic61C2311yescharacteristic
309C2×C4×Dic61C2311yescharacteristic
310C2×C4×Dic61C2311yescharacteristic
311C2×C4×Dic61C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
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
344C25×C61C2311yescharacteristic
345C22×D4×C61C2311yescharacteristic
346C22×D4×C61C2311yescharacteristic
347C22×D4×C61C2311yescharacteristic
348C22×D4×C61C2311yescharacteristic
349C22×D4×C61C2311yescharacteristic
350C22×D4×C61C2311yescharacteristic
351C22×D4×C61C2311yescharacteristic
352C23×C4×C61C2311yescharacteristic
353C23×C4×C61C2311yescharacteristic
354C23×C4×C61C2311yescharacteristic
355#121×C61—24no—
356#121×C61—24no—
357#120×C61—24no—
358#120×C61—24no—
359C4×D4×C61—24no—
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61—24no—
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×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C42×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382#95×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385C24×C61—22no—
386C24×C61—22no—
387C24×C61—22no—
388C24×C61—22no—
389C24×C61—22no—
390C24×C61—41no—
391C24×C61—41no—
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C24×C61C2411yescharacteristic
396C24×C61C2411yescharacteristic
397C2×D4×C61—22no—
398C2×D4×C61—22no—
399C2×D4×C61—22no—
400C2×D4×C61—22no—
401C2×D4×C61—22no—
402C2×D4×C61—22no—
403C2×D4×C61—22no—
404C2×D4×C61—22no—
405C2×D4×C61—22no—
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—22no—
411C2×D4×C61—22no—
412C2×D4×C61—41no—
413C2×D4×C61—41no—
414C2×D4×C61—41no—
415C2×D4×C61—41no—
416C2×D4×C61—41no—
417C2×D4×C61#4114yes—
418C22×C4×C61—22no—
419C22×C4×C61—22no—
420C22×C4×C61—22no—
421C22×C4×C61—22no—
422C22×C4×C61—22no—
423C22×C4×C61—22no—
424C22×C4×C61—41no—
425C22×C4×C61—41no—
426C22×C4×C61—41no—
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×Dic61—232no—
438C22×Dic61—22no—
439C22×Dic61—22no—
440C22×Dic61—22no—
441C22×Dic61—22no—
442C22×Dic61—22no—
443C22×Dic61—22no—
444C22×Dic61—22no—
445C22×Dic61—22no—
446C22×Dic61—22no—
447C22×Dic61—22no—
448C22×Dic61—22no—
449C22×Dic61—22no—
450C22×Dic61—22no—
451C22×Dic61—22no—
452C22×Dic61—22no—
453C22×Dic61—22no—
454C22×Dic61—22no—
455C22×Dic61—22no—
456C22×Dic61—22no—
457C22×Dic61—22no—
458C22×Dic61—22no—
459C22×Dic61—22no—
460C22×Dic61—22no—
461C22×Dic61—22no—
462C22×Dic61—22no—
463C22×Dic61—22no—
464C22×Dic61—22no—
465C22×Dic61—41no—
466C22×Dic61—41no—
467C22×Dic61—41no—
468C22×Dic61C2×D414yes—
469C22×Dic61#4114yes—
470C22×Dic61#4114yes—
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C22×Dic61C2411yescharacteristic
487C2×Dic122—22no—
488C2×Dic122—22no—
489C2×Dic122—41no—
490C4⋊C4×C61—22no—
491C4⋊C4×C61—22no—
492C4⋊C4×C61—22no—
493C4⋊C4×C61—41no—
494C22⋊C4×C61—22no—
495C22⋊C4×C61—22no—
496C22⋊C4×C61—22no—
497C22⋊C4×C61—22no—
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—22no—
506C22⋊C4×C61—41no—
507C22⋊C4×C61C2×D414yes—
508C22⋊C4×C61#4114yes—
509C42×C61—22no—
510C22⋊Dic61—22no—
511C22⋊Dic61—22no—
512C22⋊Dic61—22no—
513C22⋊Dic61—22no—
514C22⋊Dic61—22no—
515C22⋊Dic61—22no—
516C22⋊Dic61—22no—
517C22⋊Dic61—22no—
518C22⋊Dic61—22no—
519C22⋊Dic61—22no—
520C22⋊Dic61—22no—
521C22⋊Dic61—22no—
522C22⋊Dic61—22no—
523C22⋊Dic61—22no—
524C22⋊Dic61—22no—
525C22⋊Dic61—22no—
526C22⋊Dic61—22no—
527C22⋊Dic61—22no—
528C22⋊Dic61—22no—
529C22⋊Dic61—22no—
530C22⋊Dic61—22no—
531C22⋊Dic61—41no—
532C22⋊Dic61—41no—
533C22⋊Dic61—41no—
534C22⋊Dic61—41no—
535C22⋊Dic61—41no—
536C22⋊Dic61—41no—
537C22⋊Dic61—41no—
538C22⋊Dic61C2×D414yes—
539C4⋊Dic61—22no—
540C4⋊Dic61—22no—
541C4⋊Dic61—22no—
542C4⋊Dic61—22no—
543C4⋊Dic61—22no—
544C4⋊Dic61—22no—
545C4⋊Dic61—22no—
546C4⋊Dic61—22no—
547C4⋊Dic61—22no—
548C4⋊Dic61—41no—
549#11758196—22no—
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—41no—
562#11758196—41no—
563#11758196—41no—
564#11758196—41no—
565#11758196C2×D414yes—
566#11758196C2×D414yes—
567C4×Dic61—22no—
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—41no—
583C4×Dic61—41no—
584C4×Dic61C2×D414yes—
585C4×Dic61C2×D414yes—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—28no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61—21no—
605C23×C61—21no—
606C23×C61—21no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—44no—
617C23×C61—44no—
618C23×C61—44no—
619C23×C61—44no—
620C23×C61—44no—
621C23×C61—44no—
622C23×C61C22×D412yes—
623C23×C61C2×#4112yes—
624C23×C61C2×#4112yes—
625C23×C61C2×#4112yes—
626C23×C61C2×#4112yes—
627C23×C61C2×#4112yes—
628C23×C61C2511yescharacteristic
629D4×C61—28no—
630D4×C61—44no—
631D4×C61—44no—
632D4×C61—44no—
633D4×C61—44no—
634D4×C61—44no—
635D4×C61—44no—
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—44no—
662C2×C4×C61—44no—
663C2×C4×C61—44no—
664C2×C4×C61C22×D412yes—
665C2×C4×C61C22×D412yes—
666C2×C4×C61C2×#4112yes—
667C2×C4×C61C2×#4112yes—
668C2×C4×C61C2×#4112yes—
669C2×Dic61—28no—
670C2×Dic61—28no—
671C2×Dic61—28no—
672C2×Dic61—21no—
673C2×Dic61—21no—
674C2×Dic61—21no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—28no—
683C2×Dic61—28no—
684C2×Dic61—28no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
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—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—44no—
716C2×Dic61—44no—
717C2×Dic61—44no—
718C2×Dic61—44no—
719C2×Dic61—44no—
720C2×Dic61C22×D412yes—
721C2×Dic61C22×D412yes—
722C2×Dic61C22×D412yes—
723C2×Dic61C22×D412yes—
724C2×Dic61C2×#4112yes—
725C2×Dic61C2×#4112yes—
726C2×Dic61C2×#4112yes—
727C2×Dic61C2×#4112yes—
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—22no—
737C22×C61—22no—
738C22×C61—22no—
739C22×C61—22no—
740C22×C61—22no—
741C22×C61—22no—
742C22×C61—22no—
743C22×C61—22no—
744C22×C61—22no—
745C22×C61—416no—
746C22×C61—41no—
747C22×C61—41no—
748C22×C61—41no—
749C22×C61—41no—
750C22×C61—41no—
751C22×C61—41no—
752C22×C61—41no—
753C22×C61—41no—
754C22×C61—41no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61—41no—
759C22×C61—41no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61#52914yescomplemented
766C22×C61C23×D411yescharacteristic
767C22×C61C22×#4111yescharacteristic
768C22×C61C22×#4111yescharacteristic
769C22×C61C22×#4111yescharacteristic
770C22×C61C22×#4111yescharacteristic
771C22×C61#58511yescharacteristic
772C22×C61#58511yescharacteristic
773C4×C61—22no—
774C4×C61—22no—
775C4×C61—22no—
776C4×C61—22no—
777C4×C61—22no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783Dic61—22no—
784Dic61—22no—
785Dic61—22no—
786Dic61—22no—
787Dic61—22no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61#52514yes—
799C2×#529—611no—
800C22×#117—611no—
801#2481—611no—
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#2424D6111yescharacteristic
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—42no—
832C2×C61—42no—
833C2×C61—42no—
834C2×C61—81no—
835C2×C61C2×#52511yescharacteristic
836C2×C61C2×#52911yescharacteristic
837C2×C61#345511yescharacteristic
838C2×C61D4×#4111yescharacteristic
839C2×C61D4×#4111yescharacteristic
840C2×C61#347511yescharacteristic
841C2×C61#347511yescharacteristic
842C24×C4—611no—
843#529—1228no—
844C2×#126—611no—
845C2×#126—611no—
846C2×#125—611no—
847C2×#124—611no—
848C2×#123—611no—
849C2×#123—611no—
850C2×C22⋊Q8—611no—
851C2×C22⋊Q8—611no—
852C2×#121C2×D6111yescharacteristic
853C2×#121C2×D6111yescharacteristic
854C2×#120C2×D6111yescharacteristic
855C2×#120C2×D6111yescharacteristic
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×D4C2×D6111yescharacteristic
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⋊C4—611no—
878C22×C22⋊C4—611no—
879C22×C22⋊C4C2×D6111yescharacteristic
880C22×C42—611no—
881C22×C42—611no—
882C22×C42—611no—
883#400—611no—
884#400—611no—
885#400—611no—
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#397—611no—
901#396—611no—
902#396—611no—
903#396—611no—
904#396C2×D6111yescharacteristic
905#395—611no—
906#394—611no—
907#394—611no—
908#394—611no—
909#394—611no—
910#394—611no—
911#394C2×D6111yescharacteristic
912#394C2×D6111yescharacteristic
913#393—611no—
914#392C2×D6111yescharacteristic
915#391—611no—
916#390—611no—
917#390—611no—
918#390C2×D6111yescharacteristic
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
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#387—611no—
946#387—611no—
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#386—611no—
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#380—611no—
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⋊C4—611no—
997#376—611no—
998C43—611no—
999C61#3474011yescharacteristic, complemented, Sylow
1000C25C22×D6111yescharacteristic
1001C22×Q8—611no—
1002C22×D4C22×D6111yescharacteristic
1003C22×D4C22×D6111yescharacteristic
1004C22×D4C22×D6111yescharacteristic
1005C22×D4C22×D6111yescharacteristic
1006C22×D4C22×D6111yescharacteristic
1007C22×D4C22×D6111yescharacteristic
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—1224no—
1027#126—1224no—
1028#125—1224no—
1029#124—1224no—
1030#123—1224no—
1031#123—1224no—
1032C22⋊Q8—1224no—
1033C22⋊Q8—1224no—
1034#121—24no—
1035#121—24no—
1036#120—24no—
1037#120—24no—
1038C4×Q8—1224no—
1039C4×D4—24no—
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—611no—
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—611no—
1083C2×C4⋊C4—611no—
1084C2×C4⋊C4—611no—
1085C2×C4⋊C4—1224no—
1086C2×C4⋊C4—1224no—
1087C2×C4⋊C4C22×D6111yescharacteristic
1088C2×C4⋊C4C22×D6111yescharacteristic
1089C2×C4⋊C4C22×D6111yescharacteristic
1090C2×C4⋊C4C22×D6111yescharacteristic
1091C2×C22⋊C4—24no—
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—1224no—
1122C2×C22⋊C4C22×D6111yescharacteristic
1123C2×C22⋊C4C22×D6111yescharacteristic
1124C2×C22⋊C4C22×D6111yescharacteristic
1125C2×C22⋊C4C22×D6111yescharacteristic
1126C2×C22⋊C4C22×D6111yescharacteristic
1127C2×C22⋊C4C22×D6111yescharacteristic
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—611no—
1156C2×C42—1224no—
1157C2×C42—1224no—
1158C2×C42—1224no—
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#95—611no—
1185#95—611no—
1186#95—611no—
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95—611no—
1191#95—611no—
1192#95C22×D6111yescharacteristic
1193#95C22×D6111yescharacteristic
1194#95C22×D6111yescharacteristic
1195#95C22×D6111yescharacteristic
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—41no—
1202C24—41no—
1203C24C23×D6111yescharacteristic
1204C24C23×D6111yescharacteristic
1205C24C23×D6111yescharacteristic
1206C24C23×D6111yescharacteristic
1207C24C23×D6111yescharacteristic
1208C2×Q8—1222no—
1209C2×Q8—1222no—
1210C2×Q8—2441no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4#1175822414yes—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—611no—
1242C22×C4—614no—
1243C22×C4—614no—
1244C22×C4—614no—
1245C22×C4—611no—
1246C22×C4—611no—
1247C22×C4—611no—
1248C22×C4—611no—
1249C22×C4—611no—
1250C22×C4—611no—
1251C22×C4—611no—
1252C22×C4—611no—
1253C22×C4—611no—
1254C22×C4—611no—
1255C22×C4—611no—
1256C22×C4—611no—
1257C22×C4—611no—
1258C22×C4—611no—
1259C22×C4—611no—
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—1222no—
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—12232no—
1282C22×C4—1222no—
1283C22×C4—1222no—
1284C22×C4—1222no—
1285C22×C4—1222no—
1286C22×C4—1222no—
1287C22×C4—1222no—
1288C22×C4—2441no—
1289C22×C4—2441no—
1290C22×C4—2441no—
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—41no—
1305C4⋊C4—614no—
1306C4⋊C4—614no—
1307C4⋊C4—1222no—
1308C4⋊C4—1222no—
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—1222no—
1328C4⋊C4—2441no—
1329C4⋊C4—2441no—
1330C4⋊C4—2441no—
1331C4⋊C4—2441no—
1332C4⋊C4—2441no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—41no—
1346C22⋊C4—614no—
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—2441no—
1369C22⋊C4—2441no—
1370C22⋊C4—2441no—
1371C22⋊C4—2441no—
1372C22⋊C4—2441no—
1373C22⋊C4—2441no—
1374C22⋊C4—2441no—
1375C22⋊C4D4×D6114yes—
1376C22⋊C4#1175822414yes—
1377C42—22no—
1378C42—614no—
1379C42—614no—
1380C42—1222no—
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—2441no—
1396C42—2441no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—28no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23C2×D4×D6112yes—
1434C23#41×D6112yes—
1435C23#41×D6112yes—
1436C23C2×#1175822412yes—
1437C23C2×#1175822412yes—
1438C23C2×#1175822412yes—
1439C23C24×D6111yescharacteristic
1440Q8—2444no—
1441D4—28no—
1442D4—44no—
1443D4—44no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
1448C2×C4—21no—
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—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—612no—
1477C2×C4—612no—
1478C2×C4—612no—
1479C2×C4—612no—
1480C2×C4—612no—
1481C2×C4—612no—
1482C2×C4—612no—
1483C2×C4—612no—
1484C2×C4—1228no—
1485C2×C4—1228no—
1486C2×C4—1228no—
1487C2×C4—1228no—
1488C2×C4—1228no—
1489C2×C4—1228no—
1490C2×C4—1221no—
1491C2×C4—1221no—
1492C2×C4—1221no—
1493C2×C4—1221no—
1494C2×C4—1221no—
1495C2×C4—1221no—
1496C2×C4—1221no—
1497C2×C4—1221no—
1498C2×C4—1221no—
1499C2×C4—1221no—
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×C4C2×D4×D6112yes—
1536C2×C4C2×D4×D6112yes—
1537C2×C4C2×#1175822412yes—
1538C2×C4C2×#1175822412yes—
1539C2×C4C2×#1175822412yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—416no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22#1684029314yescomplemented
1576C22C22×D4×D6111yescharacteristic
1577C22C2×#41×D6111yescharacteristic
1578C22C2×#41×D6111yescharacteristic
1579C22C22×#1175822411yescharacteristic
1580C22C22×#1175822411yescharacteristic
1581C22#1684059711yescharacteristic
1582C22#1684059711yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—614no—
1594C4—1222no—
1595C4—1222no—
1596C4—1222no—
1597C4—1222no—
1598C4—1222no—
1599C4—2441no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C4—2441no—
1608C4—2441no—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—42no—
1613C2—81no—
1614C2#525×D6111yescharacteristic
1615C2C2×#1684029311yescharacteristic
1616C2#2145920111yescharacteristic
1617C2D4×#1175822411yescharacteristic
1618C2D4×#1175822411yescharacteristic
1619C2#2145937011yescharacteristic
1620C2#2145937011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
Fitting, prime radicalC61×#2424C2
hypercenter#2424D61
hypocenterC61#34740
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#16840293C2semidirect
2. C22×#14519733C2semidirect
3. #21450082C2semidirect
4. #21450059C2semidirect
5. #21450056C2semidirect
6. #21450033C2semidirect
7. #21450024C2semidirect
8. #21450001C2semidirect
9. #21449993C2semidirect
10. #21449970C2semidirect
11. #21449967C2semidirect
12. #21449944C2semidirect
13. #21449931C2semidirect
14. #21449908C2semidirect
15. #21449622C2semidirect
16. #21449550C2semidirect
17. #21449277C2semidirect
18. #21449094C2semidirect
19. #21449075C2semidirect
20. #21449075C2semidirect
21. #21449054C2semidirect
22. #21448351C2semidirect
23. #121×Dic61C2semidirect
24. #120×Dic61C2semidirect
25. #120×Dic61C2semidirect
26. #21448313C2semidirect
27. #21448281C2semidirect
28. #21448259C2semidirect
29. #21448259C2semidirect
30. C4×D4×Dic61C2semidirect
35. C2×#14519770C22semidirect
36. C2×#14519768C22semidirect
39. C2×#14519758C22semidirect
40. C2×#14519756C22semidirect
42. C2×#14519742C22semidirect
50. C2×D4×Dic61C22semidirect
60. C2×#14519733C22semidirect
66. C22×C4×Dic61C22semidirect
67. #16839704C22semidirect
68. #16839704C22semidirect
69. #16839703C22semidirect
71. #16839698C22semidirect
72. #16839698C22semidirect
73. #16839695C22semidirect
74. #16839695C22semidirect
75. #16839695C22semidirect
76. #16839694C22semidirect
77. #16839692C22semidirect
80. #16839690C22semidirect
81. #16839690C22semidirect
86. #16839685C22semidirect
87. #16839685C22semidirect
88. #16839682C22semidirect
93. #16839676C22semidirect
95. #16839666C22semidirect
97. #16839665C22semidirect
98. #16839661C22semidirect
99. #16839660C22semidirect
100. #16839658C22semidirect
101. #16839657C22semidirect
105. #16839656C22semidirect
106. #16839656C22semidirect
108. #16839655C22semidirect
109. #16839655C22semidirect
113. #16839650C22semidirect
114. #16839650C22semidirect
115. #16839649C22semidirect
116. #16839647C22semidirect
117. #16839647C22semidirect
118. #16839647C22semidirect
119. #16839646C22semidirect
120. #16839645C22semidirect
121. #16839645C22semidirect
122. #16839644C22semidirect
123. #16839643C22semidirect
124. #16839643C22semidirect
143. #16839635C22semidirect
145. #16839634C22semidirect
150. C4⋊C4×Dic61C22semidirect
151. C4⋊C4×Dic61C22semidirect
152. C4⋊C4×Dic61C22semidirect
153. C4⋊C4×Dic61C22semidirect
154. C4×C4⋊Dic61C22semidirect
155. #16839613C22semidirect
156. #16839613C22semidirect
157. #16839613C22semidirect
165. C22⋊C4×Dic61C22semidirect
166. C22⋊C4×Dic61C22semidirect
167. C22⋊C4×Dic61C22semidirect
168. C22⋊C4×Dic61C22semidirect
169. C22⋊C4×Dic61C22semidirect
171. C4×C22⋊Dic61C22semidirect
172. #16839607C22semidirect
173. C42×Dic61C22semidirect
229. #14519733D4semidirect
765. C22×C61#529semidirect
999. C61#34740semidirect
1575. C22#16840293semidirect

Maximal subgroups

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

subgroupindex
C2×#168402932
C22×#145197332
#214500822
#214500592
#214500562
#214500332
#214500242
#214500012
#214499932
#214499702
#214499672
#214499442
#214499312
#214499082
#214496222
#214495502
#214492772
#214490942
#214490752
#214490542
#214483512
#121×Dic612
#120×Dic612
#214483132
#214482812
#214482592
C4×D4×Dic612
C61×#24242
#3474061