Finite Group Databasebeta

← #29840965

Subgroups — #29840965

Order 15616.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840234C211yesmaximal, characteristic
2#21448762C211yesmaximal, characteristic, complemented
3#21448760C211yesmaximal, characteristic, complemented
4#21448758C211yesmaximal, characteristic, complemented
5#21448754C211yesmaximal, characteristic, complemented
6#21448751C211yesmaximal, characteristic, complemented
7#21448749C211yesmaximal, characteristic, complemented
8#21448747C211yesmaximal, characteristic, complemented
9#21448743C211yesmaximal, characteristic, complemented
10#21448682C211yesmaximal, characteristic, complemented
11#21448680C211yesmaximal, characteristic, complemented
12#21448678C211yesmaximal, characteristic, complemented
13#21448674C211yesmaximal, characteristic, complemented
14#21448671C211yesmaximal, characteristic, complemented
15#21448669C211yesmaximal, characteristic, complemented
16#21448667C211yesmaximal, characteristic, complemented
17#21448663C211yesmaximal, characteristic, complemented
18#21448452C211yesmaximal, characteristic, complemented
19#21448447C211yesmaximal, characteristic, complemented
20#21448446C211yesmaximal, characteristic, complemented
21#21448445C211yesmaximal, characteristic, complemented
22#21448430C211yesmaximal, characteristic, complemented
23#21448393C211yesmaximal, characteristic
24#21448262C211yesmaximal, characteristic, complemented
25#21448259C211yesmaximal, characteristic, complemented
26#21448255C211yesmaximal, characteristic, complemented
27#386×D61C211yesmaximal, characteristic
28#385×D61C211yesmaximal, characteristic, complemented
29#21448171C211yesmaximal, characteristic, complemented
30C2×C4×#11758198C211yesmaximal, characteristic, complemented
31C61×#2290C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34#16840234C4116yescomplemented
35C2×C4×D244C2211yescharacteristic
36C2×D4×Dic61C2211yescharacteristic
37C2×#14519739C2211yescharacteristic
38C2×C4×C22⋊D61C2211yescharacteristic
39C2×C4×C22⋊D61C2211yescharacteristic
40C2×#14519737C2211yescharacteristic
41C2×#14519737C2211yescharacteristic
42C2×#14519735C2211yescharacteristic
43C2×#14519735C2211yescharacteristic, complemented
44C2×#14519734C2211yescharacteristic
45C2×#14519734C2211yescharacteristic, complemented
46C2×#14519733C2211yescharacteristic, complemented
47C2×C4⋊C4×D61C2211yescharacteristic, complemented
48C2×C4⋊C4×D61C2211yescharacteristic, complemented
49C22×#11758198C2211yescharacteristic
50C22×#11758198C2211yescharacteristic
51C22×#11758198C2211yescharacteristic
52C2×C22⋊C4×D61C2211yescharacteristic
53C2×C22⋊C4×D61C2211yescharacteristic
54C2×C22⋊C4×D61C2211yescharacteristic
55C2×C22⋊C4×D61C2211yescharacteristic
56C2×C22⋊C4×D61C2211yescharacteristic
57C2×C22⋊C4×D61C2211yescharacteristic
58C22×C4×Dic61C2211yescharacteristic, complemented
59#16839656C2211yescharacteristic, complemented
60#16839656C2211yescharacteristic, complemented
61#16839655C2211yescharacteristic, complemented
62#16839655C2211yescharacteristic, complemented
63#16839654C2211yescharacteristic, complemented
64#16839654C2211yescharacteristic, complemented
65#16839653C2211yescharacteristic, complemented
66#16839653C2211yescharacteristic, complemented
67#16839653C2211yescharacteristic, complemented
68#16839653C2211yescharacteristic, complemented
69#16839652C2211yescharacteristic, complemented
70#16839652C2211yescharacteristic, complemented
71#16839650C2211yescharacteristic, complemented
72#16839650C2211yescharacteristic, complemented
73#16839649C2211yescharacteristic, complemented
74#16839649C2211yescharacteristic, complemented
75#16839648C2211yescharacteristic, complemented
76#16839648C2211yescharacteristic, complemented
77#16839647C2211yescharacteristic, complemented
78#16839647C2211yescharacteristic, complemented
79#16839646C2211yescharacteristic, complemented
80#16839646C2211yescharacteristic, complemented
81#16839646C2211yescharacteristic, complemented
82#16839646C2211yescharacteristic, complemented
83#16839645C2211yescharacteristic, complemented
84#16839645C2211yescharacteristic, complemented
85#16839643C2211yescharacteristic, complemented
86#16839643C2211yescharacteristic, complemented
87#16839642C2211yescharacteristic
88#16839642C2211yescharacteristic
89#16839641C2211yescharacteristic
90#16839641C2211yescharacteristic
91#16839640C2211yescharacteristic
92#16839640C2211yescharacteristic
93#16839640C2211yescharacteristic
94#16839640C2211yescharacteristic
95#16839639C2211yescharacteristic
96#16839639C2211yescharacteristic
97#16839638C2211yescharacteristic
98#16839638C2211yescharacteristic
99#16839638C2211yescharacteristic
100#16839638C2211yescharacteristic
101#16839637C2211yescharacteristic, complemented
102#16839637C2211yescharacteristic, complemented
103#16839636C2211yescharacteristic
104#16839636C2211yescharacteristic
105#16839636C2211yescharacteristic
106#16839636C2211yescharacteristic
107#16839635C2211yescharacteristic, complemented
108#16839635C2211yescharacteristic, complemented
109#16839634C2211yescharacteristic, complemented
110#16839634C2211yescharacteristic, complemented
111#16839633C2211yescharacteristic
112#16839633C2211yescharacteristic
113#16839633C2211yescharacteristic
114#16839633C2211yescharacteristic
115#16839630C2211yescharacteristic, complemented
116#16839629C2211yescharacteristic, complemented
117#16839629C2211yescharacteristic, complemented
118#16839629C2211yescharacteristic, complemented
119#16839628C2211yescharacteristic, complemented
120#16839627C2211yescharacteristic, complemented
121#16839626C2211yescharacteristic, complemented
122#16839626C2211yescharacteristic, complemented
123#16839625C2211yescharacteristic, complemented
124#16839624C2211yescharacteristic
125#16839624C2211yescharacteristic
126#16839624C2211yescharacteristic, complemented
127#16839624C2211yescharacteristic, complemented
128#16839623C2211yescharacteristic, complemented
129#16839622C2211yescharacteristic, complemented
130#16839621C2211yescharacteristic, complemented
131#16839621C2211yescharacteristic, complemented
132#16839621C2211yescharacteristic, complemented
133#16839620C2211yescharacteristic, complemented
134#16839619C2211yescharacteristic, complemented
135#16839619C2211yescharacteristic, complemented
136#16839619C2211yescharacteristic, complemented
137#16839617C2211yescharacteristic
138#16839617C2211yescharacteristic
139C4⋊C4×Dic61C2211yescharacteristic, complemented
140C4×#11758196C2211yescharacteristic, complemented
141#16839613C2211yescharacteristic, complemented
142C22⋊C4×Dic61C2211yescharacteristic, complemented
143C22⋊C4×Dic61C2211yescharacteristic, complemented
144C22⋊C4×Dic61C2211yescharacteristic, complemented
145C4×#11758198C2211yescharacteristic
146C4×#11758198C2211yescharacteristic
147C4×#11758198C2211yescharacteristic
148C4×#11758198C2211yescharacteristic
149C4×#11758198C2211yescharacteristic
150C4×#11758198C2211yescharacteristic
151C4×#11758198C2211yescharacteristic, complemented
152C4×#11758198C2211yescharacteristic, complemented
153C4×#11758198C2211yescharacteristic, complemented
154C4×#11758198C2211yescharacteristic, complemented
155C4×#11758198C2211yescharacteristic, complemented
156C4×#11758198C2211yescharacteristic, complemented
157C4×#11758198C2211yescharacteristic, complemented
158C4×C22⋊Dic61C2211yescharacteristic, complemented
159#16839609C2211yescharacteristic
160#16839609C2211yescharacteristic
161#16839609C2211yescharacteristic, complemented
162#16839609C2211yescharacteristic, complemented
163#16839609C2211yescharacteristic, complemented
164#16839608C2211yescharacteristic, complemented
165#16839607C2211yescharacteristic, complemented
166#16839607C2211yescharacteristic, complemented
167C2×#14519684C2211yescharacteristic, complemented
168C2×#14519684C2211yescharacteristic, complemented
169#95×D61C2211yescharacteristic
170#95×D61C2211yescharacteristic
171#95×D61C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173C2×C4×D4×C61C2211yescharacteristic
174C2×#117×C61C2211yescharacteristic, complemented
175C22×C42×C61C2211yescharacteristic, complemented
176C61×#388C2211yescharacteristic, complemented
177C61×#388C2211yescharacteristic, complemented
178C61×#387C2211yescharacteristic, complemented
179C61×#387C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic
182C61×#385C2211yescharacteristic, complemented
183C61×#385C2211yescharacteristic, complemented
184C4×C4⋊C4×C61C2211yescharacteristic, complemented
185C4×C22⋊C4×C61C2211yescharacteristic, complemented
186C4×C22⋊C4×C61C2211yescharacteristic, complemented
187C61×#376C2211yescharacteristic, complemented
188C24×D61C2311yescharacteristic
189C24×D61C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C2×D4×D61—24no—
194C2×D4×D61—24no—
195C2×D4×D61C2×C418yes—
196C23×Dic61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C22×C4×D61—24no—
201C22×C4×D61—42no—
202C22×C4×D61—42no—
203C22×C4×D61C2311yescharacteristic
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C4×D244C2×C418yescomplemented
217D4×Dic61C2×C418yescomplemented
218#14519739C2×C418yescomplemented
219C4×C22⋊D61C2×C418yescomplemented
220C4×C22⋊D61C2×C418yescomplemented
221#14519737C2×C418yescomplemented
222#14519737C2×C418yescomplemented
223#14519735—42no—
224#14519735C2×C418yescomplemented
225#14519734—42no—
226#14519734C2×C418yescomplemented
227#14519733—42no—
228C2×C4⋊Dic61C2311yescharacteristic
229C2×C4⋊Dic61C2311yescharacteristic
230C2×C4⋊Dic61C2311yescharacteristic
231C2×C4⋊Dic61C2311yescharacteristic
232C2×C4⋊Dic61C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C4⋊C4×D61—42no—
244C4⋊C4×D61—42no—
245C2×C22⋊Dic61C2311yescharacteristic
246C2×C22⋊Dic61C2311yescharacteristic
247C2×C22⋊Dic61C2311yescharacteristic
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×#11758198—24no—
254C2×#11758198C2×C418yes—
255C2×#11758198C2×C418yescomplemented
256C2×#11758198C2311yescharacteristic
257C2×#11758198C2311yescharacteristic
258C2×#11758198C2311yescharacteristic
259C2×#11758198C2311yescharacteristic
260C2×#11758198C2311yescharacteristic
261C2×#11758198C2311yescharacteristic
262C2×#11758198C2311yescharacteristic
263C2×#11758198C2311yescharacteristic
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C22⋊C4×D61—24no—
281C22⋊C4×D61—24no—
282C22⋊C4×D61—42no—
283C22⋊C4×D61—42no—
284C22⋊C4×D61C2×C418yes—
285C22⋊C4×D61C2×C418yescomplemented
286C2×C4×Dic61—42no—
287C2×C4×Dic61C2311yescharacteristic
288C2×C4×Dic61C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
291C2×C4×Dic61C2311yescharacteristic
292C2×C4×Dic61C2311yescharacteristic
293C2×C4×Dic61C2311yescharacteristic
294C2×C4×Dic61C2311yescharacteristic
295C2×C4×Dic61C2311yescharacteristic
296C2×C4×Dic61C2311yescharacteristic
297C2×C4×Dic61C2311yescharacteristic
298C2×C4×Dic61C2311yescharacteristic
299C2×C4×Dic61C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
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
338C22×D4×C61C2311yescharacteristic
339C23×C4×C61C2311yescharacteristic
340C23×C4×C61C2311yescharacteristic
341C23×C4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343C4×D4×C61C2×C418yescomplemented
344#117×C61—42no—
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C42×C61—42no—
359C2×C42×C61C2311yescharacteristic
360C2×C42×C61C2311yescharacteristic
361C2×C42×C61C2311yescharacteristic
362C2×C42×C61C2311yescharacteristic
363C2×C42×C61C2311yescharacteristic
364C2×C42×C61C2311yescharacteristic
365C2×C42×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C23×D61—22no—
379C23×D61—22no—
380C23×D61—41no—
381C23×D61—41no—
382C23×D61—41no—
383C23×D61—41no—
384C23×D61—41no—
385C23×D61—41no—
386C23×D61—41no—
387C23×D61—41no—
388C23×D61C22×C414yes—
389C23×D61C22×C414yes—
390C23×D61#4114yes—
391C23×D61#4114yes—
392C23×D61C2411yescharacteristic
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C2×D4×C61—22no—
396C2×D4×C61—22no—
397C2×D4×C61C22×C414yes—
398C22×C4×C61—22no—
399C22×C4×C61—22no—
400C22×C4×C61—22no—
401C22×C4×C61—22no—
402C22×C4×C61—41no—
403C22×C4×C61—41no—
404C22×C4×C61—41no—
405C22×C4×C61—41no—
406C22×C4×C61—41no—
407C22×C4×C61—41no—
408C22×C4×C61C22×C414yes—
409C22×C4×C61C22×C414yescomplemented
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
422C22×C4×C61C2411yescharacteristic
423C2×C22⋊D61—22no—
424C2×C22⋊D61—22no—
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61C22×C414yes—
428C2×C22⋊D61C22×C414yes—
429C22×Dic61—22no—
430C22×Dic61—22no—
431C22×Dic61—41no—
432C22×Dic61—41no—
433C22×Dic61—41no—
434C22×Dic61—41no—
435C22×Dic61—41no—
436C22×Dic61—41no—
437C22×Dic61—41no—
438C22×Dic61—41no—
439C22×Dic61C22×C414yes—
440C22×Dic61C22×C414yescomplemented
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C22×Dic61C2411yescharacteristic
446C22×Dic61C2411yescharacteristic
447C22×Dic61C2411yescharacteristic
448C22×Dic61C2411yescharacteristic
449C22×Dic61C2411yescharacteristic
450C22×Dic61C2411yescharacteristic
451C22×Dic61C2411yescharacteristic
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454D4×D61—232no—
455C2×D244—22no—
456C2×D244—22no—
457C2×D244C22×C414yes—
458C2×C4×D61—22no—
459C2×C4×D61—22no—
460C2×C4×D61—22no—
461C2×C4×D61—22no—
462C2×C4×D61—22no—
463C2×C4×D61—22no—
464C2×C4×D61—22no—
465C2×C4×D61—22no—
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—41no—
473C2×C4×D61—41no—
474C2×C4×D61—41no—
475C2×C4×D61—41no—
476C2×C4×D61—41no—
477C2×C4×D61—41no—
478C2×C4×D61—41no—
479C2×C4×D61—41no—
480C2×C4×D61—41no—
481C2×C4×D61—41no—
482C2×C4×D61—41no—
483C2×C4×D61—41no—
484C2×C4×D61—416no—
485C2×C4×D61—41no—
486C2×C4×D61—41no—
487C2×C4×D61—41no—
488C2×C4×D61—41no—
489C2×C4×D61—41no—
490C2×C4×D61—41no—
491C2×C4×D61—41no—
492C2×C4×D61—41no—
493C2×C4×D61C22×C414yes—
494C2×C4×D61C22×C414yes—
495C2×C4×D61C22×C414yes—
496C2×C4×D61C22×C414yescomplemented
497C2×C4×D61C22×C414yescomplemented
498C4⋊C4×C61—22no—
499C4⋊C4×C61—22no—
500C4⋊C4×C61—41no—
501C4⋊C4×C61—41no—
502C4⋊C4×C61C22×C414yescomplemented
503C22⋊C4×C61—22no—
504C22⋊C4×C61—22no—
505C22⋊C4×C61—22no—
506C22⋊C4×C61—22no—
507C22⋊C4×C61—41no—
508C22⋊C4×C61—41no—
509C22⋊C4×C61C22×C414yes—
510C22⋊C4×C61C22×C414yescomplemented
511C42×C61—22no—
512C42×C61—22no—
513C42×C61—41no—
514C42×C61—41no—
515C42×C61—41no—
516C42×C61—41no—
517C42×C61C22×C414yescomplemented
518C22⋊Dic61—22no—
519C22⋊Dic61—22no—
520C22⋊Dic61—41no—
521C22⋊Dic61—41no—
522C22⋊Dic61—41no—
523C22⋊Dic61—41no—
524C22⋊Dic61C22×C414yes—
525C22⋊Dic61C22×C414yescomplemented
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—41no—
537#11758198—41no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198C22×C414yes—
543#11758198C22×C414yes—
544#11758198C22×C414yes—
545#11758198C22×C414yes—
546#11758198C22×C414yes—
547#11758198C22×C414yes—
548#11758198C22×C414yescomplemented
549#11758198C22×C414yescomplemented
550C4⋊Dic61—41no—
551C4⋊Dic61—41no—
552C4⋊Dic61—41no—
553C4⋊Dic61—41no—
554C4⋊Dic61C22×C414yescomplemented
555#11758196—22no—
556#11758196—22no—
557#11758196—41no—
558#11758196—41no—
559#11758196—41no—
560#11758196—41no—
561#11758196—41no—
562#11758196—41no—
563#11758196C22×C414yescomplemented
564#11758196C22×C414yescomplemented
565C4×Dic61—22no—
566C4×Dic61—22no—
567C4×Dic61—41no—
568C4×Dic61—41no—
569C4×Dic61—41no—
570C4×Dic61—41no—
571C4×Dic61—41no—
572C4×Dic61—41no—
573C4×Dic61—41no—
574C4×Dic61—41no—
575C4×Dic61C22×C414yescomplemented
576C4×Dic61C22×C414yescomplemented
577C4×Dic61C22×C414yescomplemented
578C23×C61—21no—
579C23×C61—21no—
580C23×C61—21no—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61C23×C412yes—
589C23×C61C23×C412yes—
590C23×C61C2×#4112yes—
591C23×C61C2×#4112yes—
592C23×C61C2511yescharacteristic
593C22×D61—21no—
594C22×D61—21no—
595C22×D61—21no—
596C22×D61—21no—
597C22×D61—21no—
598C22×D61—21no—
599C22×D61—21no—
600C22×D61—21no—
601C22×D61—21no—
602C22×D61—21no—
603C22×D61—21no—
604C22×D61—21no—
605C22×D61—21no—
606C22×D61—21no—
607C22×D61—28no—
608C22×D61—44no—
609C22×D61—44no—
610C22×D61—44no—
611C22×D61—44no—
612C22×D61—44no—
613C22×D61—44no—
614C22×D61—44no—
615C22×D61—44no—
616C22×D61—82no—
617C22×D61—82no—
618C22×D61—82no—
619C22×D61—82no—
620C22×D61#117116yescomplemented
621C22×D61C23×C412yes—
622C22×D61C23×C412yes—
623C22×D61C23×C412yes—
624C22×D61C2×#4112yes—
625C22×D61C2×#4112yes—
626C22×D61C2×#4112yes—
627C22×D61C2×#4112yes—
628D4×C61—28no—
629C2×C4×C61—28no—
630C2×C4×C61—21no—
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—44no—
663C2×C4×C61—44no—
664C2×C4×C61—44no—
665C2×C4×C61C23×C412yes—
666C2×C4×C61C23×C412yes—
667C2×C4×C61C23×C412yes—
668C2×C4×C61C23×C412yes—
669C2×C4×C61C23×C412yes—
670C2×C4×C61H(5,𝔽2)12yes—
671C2×C4×C61H(5,𝔽2)12yes—
672C22⋊D61—28no—
673C22⋊D61—28no—
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—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
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—44no—
709C2×Dic61—44no—
710C2×Dic61—44no—
711C2×Dic61—44no—
712C2×Dic61C23×C412yes—
713C2×Dic61C23×C412yes—
714C2×Dic61C23×C412yes—
715C2×Dic61C23×C412yes—
716C2×Dic61C23×C412yes—
717D244—28no—
718C4×D61—28no—
719C4×D61—44no—
720C4×D61—44no—
721C4×D61—44no—
722C4×D61—44no—
723C4×D61—44no—
724C4×D61—44no—
725C4×D61—44no—
726C4×D61—44no—
727C4×D61—82no—
728C4×D61—82no—
729C4×D61—82no—
730C4×D61—82no—
731#34251—611nomaximal, Sylow
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—41no—
742C22×C61—41no—
743C22×C61—41no—
744C22×C61—41no—
745C22×C61C2×#11714yes—
746C22×C61C24×C411yescharacteristic
747C22×C61C22×#4111yescharacteristic
748C22×C61C22×#4111yescharacteristic
749C22×C61C2×H(5,𝔽2)11yescharacteristic
750C22×C61C2×H(5,𝔽2)11yescharacteristic
751C22×C61#58511yescharacteristic
752C22×C61#58511yescharacteristic
753C2×D61—22no—
754C2×D61—22no—
755C2×D61—22no—
756C2×D61—22no—
757C2×D61—22no—
758C2×D61—22no—
759C2×D61—22no—
760C2×D61—22no—
761C2×D61—22no—
762C2×D61—22no—
763C2×D61—22no—
764C2×D61—22no—
765C2×D61—22no—
766C2×D61—22no—
767C2×D61—22no—
768C2×D61—416no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61—41no—
773C2×D61—88no—
774C2×D61C2×#11714yes—
775C2×D61C2×#11714yes—
776C4×C61—22no—
777C4×C61—22no—
778C4×C61—22no—
779C4×C61—22no—
780C4×C61—22no—
781C4×C61—22no—
782C4×C61—22no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789Dic61—22no—
790Dic61—22no—
791Dic61—22no—
792Dic61—22no—
793Dic61—22no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801Dic61—41no—
802C2×#518—611no—
803#2353—611no—
804#2353—611no—
805#2353—611no—
806#2353—611no—
807#2352—611no—
808#2352—611no—
809#2352—611no—
810#2352—611no—
811#2343—611no—
812#2343—611no—
813#2343—611no—
814#2343—611no—
815#2342—611no—
816#2342—611no—
817#2342—611no—
818#2342—611no—
819#2318—611no—
820#2318—611no—
821#2318—611no—
822#2318—611no—
823#2315—611no—
824#2308—611no—
825#2290—611no—
826#2290—611no—
827#2290—611no—
828#2290D6111yescharacteristic, complemented
829C2×#386—611no—
830C2×#385—611no—
831#2273—611no—
832C2×C4×C22⋊C4—611no—
833C2×C61—24no—
834C2×C61—42no—
835C2×C61C22×#11711yescharacteristic
836C2×C61C4×H(5,𝔽2)11yescharacteristic
837C2×C61C4×H(5,𝔽2)11yescharacteristic
838C2×C61#349011yescharacteristic
839C2×C61#349111yescharacteristic
840C2×C61#350511yescharacteristic
841C2×C61#350511yescharacteristic
842D61—24no—
843D61—24no—
844D61—42no—
845C23×D4—611no—
846C24×C4—611no—
847#518—6116no—
848C2×C4×D4—611no—
849C2×C4×D4—611no—
850C2×C4×D4—611no—
851C2×C4×D4—611no—
852C2×C4×D4—611no—
853C2×C4×D4—611no—
854C2×C4×D4—611no—
855C2×C4×D4C2×D6111yescharacteristic
856C2×#117—611no—
857C2×#117—611no—
858C2×#117—611no—
859C2×#117—611no—
860C2×#117—611no—
861C2×#117C2×D6111yescharacteristic, complemented
862C22×C4⋊C4—611no—
863C22×C4⋊C4—611no—
864C22×C22⋊C4—611no—
865C22×C22⋊C4—611no—
866C22×C22⋊C4—611no—
867C22×C22⋊C4—611no—
868C22×C22⋊C4—611no—
869C22×C22⋊C4—611no—
870C22×C22⋊C4—611no—
871C22×C22⋊C4—611no—
872C22×C22⋊C4—611no—
873C22×C42—611no—
874C22×C42C2×D6111yescharacteristic, complemented
875#388—611no—
876#388—611no—
877#388—611no—
878#388—611no—
879#388—611no—
880#388—611no—
881#388—611no—
882#388—611no—
883#388—611no—
884#388—611no—
885#388—611no—
886#388—611no—
887#388—611no—
888#388—611no—
889#388C2×D6111yescharacteristic, complemented
890#388C2×D6111yescharacteristic, complemented
891#387—611no—
892#387—611no—
893#387—611no—
894#387—611no—
895#387—611no—
896#387—611no—
897#387—611no—
898#387—611no—
899#387—611no—
900#387—611no—
901#387—611no—
902#387—611no—
903#387—611no—
904#387—611no—
905#387C2×D6111yescharacteristic, complemented
906#387C2×D6111yescharacteristic, complemented
907#386—611no—
908#386—611no—
909#386—611no—
910#386—611no—
911#386—611no—
912#386—611no—
913#386—611no—
914#386—611no—
915#386—611no—
916#386—611no—
917#386—611no—
918#386—611no—
919#386—611no—
920#386—611no—
921#386C2×D6111yescharacteristic
922#386C2×D6111yescharacteristic
923#385—611no—
924#385—611no—
925#385—611no—
926#385—611no—
927#385—611no—
928#385—611no—
929#385—611no—
930#385—611no—
931#385—611no—
932#385—611no—
933#385—611no—
934#385—611no—
935#385—611no—
936#385—611no—
937#385C2×D6111yescharacteristic, complemented
938#385C2×D6111yescharacteristic, complemented
939#383—611no—
940#383—611no—
941#383—611no—
942#383—611no—
943#382—611no—
944#382—611no—
945#382—611no—
946#382—611no—
947#381—611no—
948#381—611no—
949#381—611no—
950#381—611no—
951#381—611no—
952#381—611no—
953#380—611no—
954#380—611no—
955#380—611no—
956#380—611no—
957#380—611no—
958#380—611no—
959#380—611no—
960#380—611no—
961#379—611no—
962#379—611no—
963C4×C4⋊C4—611no—
964C4×C4⋊C4—611no—
965C4×C4⋊C4—611no—
966C4×C4⋊C4C2×D6111yescharacteristic, complemented
967C4×C22⋊C4—611no—
968C4×C22⋊C4—611no—
969C4×C22⋊C4—611no—
970C4×C22⋊C4—611no—
971C4×C22⋊C4—611no—
972C4×C22⋊C4—611no—
973C4×C22⋊C4—611no—
974C4×C22⋊C4—611no—
975C4×C22⋊C4—611no—
976C4×C22⋊C4—611no—
977C4×C22⋊C4—611no—
978C4×C22⋊C4—611no—
979C4×C22⋊C4—611no—
980C4×C22⋊C4—611no—
981C4×C22⋊C4—611no—
982C4×C22⋊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⋊C4C2×D6111yescharacteristic, complemented
990C4×C22⋊C4C2×D6111yescharacteristic, complemented
991#376—611no—
992#376—611no—
993#376—611no—
994#376C2×D6111yescharacteristic, complemented
995C2×#95—611no—
996C2×#95—611no—
997C2×#95—611no—
998C2×#95—611no—
999C2×#95—611no—
1000C2×#95—611no—
1001C61#3425111yescharacteristic, complemented, Sylow
1002C25—611no—
1003C25—611no—
1004C22×D4—611no—
1005C22×D4—611no—
1006C22×D4—618no—
1007C22×D4—611no—
1008C22×D4—1224no—
1009C22×D4—1224no—
1010C22×D4C22×D6111yescharacteristic
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—611no—
1021C23×C4—611no—
1022C23×C4—611no—
1023C23×C4—611no—
1024C23×C4—611no—
1025C23×C4—611no—
1026C23×C4—611no—
1027C23×C4—611no—
1028C23×C4—1224no—
1029C23×C4—2442no—
1030C23×C4—2442no—
1031C23×C4C22×D6111yescharacteristic
1032C23×C4C22×D6111yescharacteristic
1033C23×C4C22×D6111yescharacteristic
1034C23×C4C22×D6111yescharacteristic
1035C4×D4—618no—
1036C4×D4—618no—
1037C4×D4—618no—
1038C4×D4—618no—
1039C4×D4—618no—
1040C4×D4—618no—
1041C4×D4—618no—
1042C4×D4C4×D6118yescomplemented
1043#117—42no—
1044#117—618no—
1045#117—618no—
1046#117—2442no—
1047#117—2442no—
1048#117—2442no—
1049C2×C4⋊C4—611no—
1050C2×C4⋊C4—611no—
1051C2×C4⋊C4—611no—
1052C2×C4⋊C4—611no—
1053C2×C4⋊C4—611no—
1054C2×C4⋊C4—611no—
1055C2×C4⋊C4—611no—
1056C2×C4⋊C4—611no—
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—2442no—
1065C2×C4⋊C4—2442no—
1066C2×C4⋊C4C22×D6111yescharacteristic
1067C2×C4⋊C4C22×D6111yescharacteristic
1068C2×C4⋊C4C22×D6111yescharacteristic
1069C2×C4⋊C4C22×D6111yescharacteristic
1070C2×C4⋊C4C22×D6111yescharacteristic
1071C2×C22⋊C4—611no—
1072C2×C22⋊C4—611no—
1073C2×C22⋊C4—618no—
1074C2×C22⋊C4—618no—
1075C2×C22⋊C4—611no—
1076C2×C22⋊C4—611no—
1077C2×C22⋊C4—611no—
1078C2×C22⋊C4—611no—
1079C2×C22⋊C4—611no—
1080C2×C22⋊C4—611no—
1081C2×C22⋊C4—611no—
1082C2×C22⋊C4—611no—
1083C2×C22⋊C4—618no—
1084C2×C22⋊C4—618no—
1085C2×C22⋊C4—611no—
1086C2×C22⋊C4—611no—
1087C2×C22⋊C4—611no—
1088C2×C22⋊C4—611no—
1089C2×C22⋊C4—611no—
1090C2×C22⋊C4—611no—
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—1224no—
1108C2×C22⋊C4—1224no—
1109C2×C22⋊C4—1224no—
1110C2×C22⋊C4—2442no—
1111C2×C22⋊C4—2442no—
1112C2×C22⋊C4C22×D6111yescharacteristic
1113C2×C22⋊C4C22×D6111yescharacteristic
1114C2×C22⋊C4C22×D6111yescharacteristic
1115C2×C22⋊C4C22×D6111yescharacteristic
1116C2×C22⋊C4C22×D6111yescharacteristic
1117C2×C22⋊C4C22×D6111yescharacteristic
1118C2×C22⋊C4C22×D6111yescharacteristic
1119C2×C22⋊C4C22×D6111yescharacteristic
1120C2×C42—42no—
1121C2×C42—611no—
1122C2×C42—611no—
1123C2×C42—611no—
1124C2×C42—611no—
1125C2×C42—611no—
1126C2×C42—611no—
1127C2×C42—611no—
1128C2×C42—611no—
1129C2×C42—611no—
1130C2×C42—611no—
1131C2×C42—611no—
1132C2×C42—611no—
1133C2×C42—611no—
1134C2×C42—2442no—
1135C2×C42C22×D6111yescharacteristic
1136C2×C42C22×D6111yescharacteristic
1137C2×C42C22×D6111yescharacteristic
1138C2×C42C22×D6111yescharacteristic
1139C2×C42C22×D6111yescharacteristic
1140C2×C42C22×D6111yescharacteristic
1141C2×C42C22×D6111yescharacteristic
1142#95—611no—
1143#95—611no—
1144#95—611no—
1145#95—611no—
1146#95—611no—
1147#95—611no—
1148#95—611no—
1149#95—611no—
1150#95—611no—
1151#95—611no—
1152#95—611no—
1153#95—611no—
1154#95—611no—
1155#95—611no—
1156#95—611no—
1157#95—611no—
1158#95—611no—
1159#95—611no—
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#95C22×D6111yescharacteristic
1181#95C22×D6111yescharacteristic
1182#95C22×D6111yescharacteristic
1183#95C22×D6111yescharacteristic
1184#95C22×D6111yescharacteristic
1185#95C22×D6111yescharacteristic
1186#95C22×D6111yescharacteristic
1187#95C22×D6111yescharacteristic
1188#95C22×D6111yescharacteristic
1189#95C22×D6111yescharacteristic
1190C24—611no—
1191C24—611no—
1192C24—614no—
1193C24—614no—
1194C24—614no—
1195C24—611no—
1196C24—614no—
1197C24—1222no—
1198C24—1222no—
1199C24—2441no—
1200C24—2441no—
1201C24—2441no—
1202C24—2441no—
1203C24—2441no—
1204C24—2441no—
1205C24—2441no—
1206C24—2441no—
1207C24C23×D6111yescharacteristic
1208C24C23×D6111yescharacteristic
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—614no—
1212C2×D4—614no—
1213C2×D4—614no—
1214C2×D4—1222no—
1215C2×D4—1222no—
1216C2×D4—12232no—
1217C2×D4—1222no—
1218C2×D4—1222no—
1219C2×D4—1222no—
1220C2×D4—1222no—
1221C2×D4C2×C4×D6114yes—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—611no—
1233C22×C4—611no—
1234C22×C4—611no—
1235C22×C4—611no—
1236C22×C4—611no—
1237C22×C4—614no—
1238C22×C4—614no—
1239C22×C4—614no—
1240C22×C4—614no—
1241C22×C4—614no—
1242C22×C4—614no—
1243C22×C4—614no—
1244C22×C4—611no—
1245C22×C4—611no—
1246C22×C4—611no—
1247C22×C4—611no—
1248C22×C4—611no—
1249C22×C4—611no—
1250C22×C4—611no—
1251C22×C4—611no—
1252C22×C4—1222no—
1253C22×C4—1222no—
1254C22×C4—1222no—
1255C22×C4—1222no—
1256C22×C4—1222no—
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—2441no—
1269C22×C4—2441no—
1270C22×C4—2441no—
1271C22×C4—2441no—
1272C22×C4—2441no—
1273C22×C4—2441no—
1274C22×C4—2441no—
1275C22×C4—2441no—
1276C22×C4—2441no—
1277C22×C4—2441no—
1278C22×C4—2441no—
1279C22×C4—2441no—
1280C22×C4—2441no—
1281C22×C4—2441no—
1282C22×C4—2441no—
1283C22×C4—2441no—
1284C22×C4—2441no—
1285C22×C4—2441no—
1286C22×C4—2441no—
1287C22×C4—2441no—
1288C22×C4—24416no—
1289C22×C4—2441no—
1290C22×C4—2441no—
1291C22×C4—2441no—
1292C22×C4—2441no—
1293C22×C4—2441no—
1294C22×C4—2441no—
1295C22×C4—2441no—
1296C22×C4—2441no—
1297C22×C4C2×C4×D6114yes—
1298C22×C4C2×C4×D6114yescomplemented
1299C22×C4C23×D6111yescharacteristic
1300C22×C4C23×D6111yescharacteristic
1301C22×C4C23×D6111yescharacteristic
1302C22×C4C23×D6111yescharacteristic
1303C22×C4C23×D6111yescharacteristic
1304C22×C4C23×D6111yescharacteristic
1305C22×C4C23×D6111yescharacteristic
1306C22×C4C23×D6111yescharacteristic
1307C22×C4C23×D6111yescharacteristic
1308C22×C4C23×D6111yescharacteristic
1309C22×C4C23×D6111yescharacteristic
1310C22×C4C23×D6111yescharacteristic
1311C22×C4C23×D6111yescharacteristic
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—614no—
1317C4⋊C4—614no—
1318C4⋊C4—614no—
1319C4⋊C4—1222no—
1320C4⋊C4—1222no—
1321C4⋊C4—2441no—
1322C4⋊C4—2441no—
1323C4⋊C4—2441no—
1324C4⋊C4—2441no—
1325C4⋊C4—2441no—
1326C4⋊C4—2441no—
1327C4⋊C4—2441no—
1328C4⋊C4—2441no—
1329C4⋊C4—2441no—
1330C4⋊C4—2441no—
1331C4⋊C4C2×C4×D6114yescomplemented
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—614no—
1339C22⋊C4—614no—
1340C22⋊C4—614no—
1341C22⋊C4—614no—
1342C22⋊C4—614no—
1343C22⋊C4—614no—
1344C22⋊C4—614no—
1345C22⋊C4—614no—
1346C22⋊C4—614no—
1347C22⋊C4—614no—
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—2441no—
1361C22⋊C4—2441no—
1362C22⋊C4—2441no—
1363C22⋊C4—2441no—
1364C22⋊C4—2441no—
1365C22⋊C4—2441no—
1366C22⋊C4—2441no—
1367C22⋊C4—2441no—
1368C22⋊C4—2441no—
1369C22⋊C4—2441no—
1370C22⋊C4C2×C4×D6114yes—
1371C22⋊C4C2×C4×D6114yescomplemented
1372C42—22no—
1373C42—22no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C42—614no—
1379C42—614no—
1380C42—614no—
1381C42—1222no—
1382C42—1222no—
1383C42—2441no—
1384C42—2441no—
1385C42—2441no—
1386C42—2441no—
1387C42—2441no—
1388C42—2441no—
1389C42—2441no—
1390C42—2441no—
1391C42C2×C4×D6114yescomplemented
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—612no—
1403C23—612no—
1404C23—612no—
1405C23—612no—
1406C23—612no—
1407C23—612no—
1408C23—6116no—
1409C23—612no—
1410C23—1228no—
1411C23—1221no—
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—4882no—
1426C23—4882no—
1427C23—4882no—
1428C23—4882no—
1429C23—2444no—
1430C23—2444no—
1431C23—2444no—
1432C23—2444no—
1433C23—2444no—
1434C23—2444no—
1435C23—2444no—
1436C23—2444no—
1437C23C22×C4×D6112yes—
1438C23C22×C4×D6112yes—
1439C23#41×D6112yes—
1440C23#41×D6112yes—
1441C23C24×D6111yescharacteristic
1442D4—28no—
1443D4—1228no—
1444D4—1228no—
1445D4—1228no—
1446C2×C4—28no—
1447C2×C4—21no—
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—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—612no—
1483C2×C4—612no—
1484C2×C4—612no—
1485C2×C4—612no—
1486C2×C4—612no—
1487C2×C4—1228no—
1488C2×C4—1221no—
1489C2×C4—1221no—
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—4882no—
1523C2×C4—4882no—
1524C2×C4—4882no—
1525C2×C4—4882no—
1526C2×C4—2444no—
1527C2×C4—2444no—
1528C2×C4—2444no—
1529C2×C4—2444no—
1530C2×C4—2444no—
1531C2×C4—2444no—
1532C2×C4—2444no—
1533C2×C4—2444no—
1534C2×C4—2444no—
1535C2×C4—2444no—
1536C2×C4—2444no—
1537C2×C4—2444no—
1538C2×C4C22×C4×D6112yes—
1539C2×C4C22×C4×D6112yes—
1540C2×C4C22×C4×D6112yes—
1541C2×C4C22×C4×D6112yes—
1542C2×C4C22×C4×D6112yes—
1543C2×C4#1451982212yes—
1544C2×C4#1451982312yes—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—614no—
1559C22—614no—
1560C22—1222no—
1561C22—1222no—
1562C22—1222no—
1563C22—1222no—
1564C22—1222no—
1565C22—1222no—
1566C22—1222no—
1567C22—1222no—
1568C22—1222no—
1569C22—1222no—
1570C22—1222no—
1571C22—1222no—
1572C22—1222no—
1573C22—1222no—
1574C22—1222no—
1575C22—4888no—
1576C22—24416no—
1577C22—2441no—
1578C22—2441no—
1579C22—2441no—
1580C22—2441no—
1581C22#117×D6114yes—
1582C22C23×C4×D6111yescharacteristic
1583C22C2×#41×D6111yescharacteristic
1584C22C2×#41×D6111yescharacteristic
1585C22C2×#1451982211yescharacteristic
1586C22C2×#1451982311yescharacteristic
1587C22#1684059811yescharacteristic
1588C22#1684059811yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—1222no—
1603C4—1222no—
1604C4—1222no—
1605C4—1222no—
1606C4—1222no—
1607C4—2441no—
1608C4—2441no—
1609C4—2441no—
1610C4—2441no—
1611C4—2441no—
1612C4—2441no—
1613C4—2441no—
1614C4—2441no—
1615C2—24no—
1616C2—42no—
1617C2—1224no—
1618C2—1224no—
1619C2—2442no—
1620C2C2×#117×D6111yescharacteristic
1621C2C4×#1451982211yescharacteristic
1622C2C4×#1451982311yescharacteristic
1623C2#2145950211yescharacteristic
1624C2#2145951111yescharacteristic
1625C2#2145964711yescharacteristic
1626C2#2145965411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2290C2
socle, cosocleC23×C61C25
prime radicalC22×D4×D61C22
hypercenter#2290D61
hypocenterC61#34251
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2290

Complements

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

NH ≅ G/Ntype
2. #21448762C2semidirect
3. #21448760C2semidirect
4. #21448758C2semidirect
5. #21448754C2semidirect
6. #21448751C2semidirect
7. #21448749C2semidirect
8. #21448747C2semidirect
9. #21448743C2semidirect
10. #21448682C2semidirect
11. #21448680C2semidirect
12. #21448678C2semidirect
13. #21448674C2semidirect
14. #21448671C2semidirect
15. #21448669C2semidirect
16. #21448667C2semidirect
17. #21448663C2semidirect
18. #21448452C2semidirect
19. #21448447C2semidirect
20. #21448446C2semidirect
21. #21448445C2semidirect
22. #21448430C2semidirect
24. #21448262C2semidirect
25. #21448259C2semidirect
26. #21448255C2semidirect
28. #385×D61C2semidirect
29. #21448171C2semidirect
30. C2×C4×#11758198C2semidirect
31. C61×#2290C2semidirect
34. #16840234C4semidirect
43. C2×#14519735C22semidirect
45. C2×#14519734C22semidirect
46. C2×#14519733C22semidirect
47. C2×C4⋊C4×D61C22semidirect
48. C2×C4⋊C4×D61C22semidirect
58. C22×C4×Dic61C22semidirect
59. #16839656C22semidirect
60. #16839656C22semidirect
61. #16839655C22semidirect
62. #16839655C22semidirect
63. #16839654C22semidirect
64. #16839654C22semidirect
65. #16839653C22semidirect
66. #16839653C22semidirect
67. #16839653C22semidirect
68. #16839653C22semidirect
69. #16839652C22semidirect
70. #16839652C22semidirect
71. #16839650C22semidirect
72. #16839650C22semidirect
73. #16839649C22semidirect
74. #16839649C22semidirect
75. #16839648C22semidirect
76. #16839648C22semidirect
77. #16839647C22semidirect
78. #16839647C22semidirect
79. #16839646C22semidirect
80. #16839646C22semidirect
81. #16839646C22semidirect
82. #16839646C22semidirect
83. #16839645C22semidirect
84. #16839645C22semidirect
85. #16839643C22semidirect
86. #16839643C22semidirect
101. #16839637C22semidirect
102. #16839637C22semidirect
107. #16839635C22semidirect
108. #16839635C22semidirect
109. #16839634C22semidirect
110. #16839634C22semidirect
115. #16839630C22semidirect
116. #16839629C22semidirect
117. #16839629C22semidirect
118. #16839629C22semidirect
119. #16839628C22semidirect
120. #16839627C22semidirect
121. #16839626C22semidirect
122. #16839626C22semidirect
123. #16839625C22semidirect
126. #16839624C22semidirect
127. #16839624C22semidirect
128. #16839623C22semidirect
129. #16839622C22semidirect
130. #16839621C22semidirect
131. #16839621C22semidirect
132. #16839621C22semidirect
133. #16839620C22semidirect
134. #16839619C22semidirect
135. #16839619C22semidirect
136. #16839619C22semidirect
139. C4⋊C4×Dic61C22semidirect
140. C4×#11758196C22semidirect
141. #16839613C22semidirect
142. C22⋊C4×Dic61C22semidirect
143. C22⋊C4×Dic61C22semidirect
144. C22⋊C4×Dic61C22semidirect
151. C4×#11758198C22semidirect
152. C4×#11758198C22semidirect
153. C4×#11758198C22semidirect
154. C4×#11758198C22semidirect
155. C4×#11758198C22semidirect
156. C4×#11758198C22semidirect
157. C4×#11758198C22semidirect
158. C4×C22⋊Dic61C22semidirect
161. #16839609C22semidirect
162. #16839609C22semidirect
163. #16839609C22semidirect
164. #16839608C22semidirect
165. #16839607C22semidirect
166. #16839607C22semidirect
167. C2×#14519684C22semidirect
168. C2×#14519684C22semidirect
171. #95×D61C22semidirect
172. #95×D61C22semidirect
174. C2×#117×C61C22semidirect
175. C22×C42×C61C22semidirect
176. C61×#388C22semidirect
177. C61×#388C22semidirect
178. C61×#387C22semidirect
179. C61×#387C22semidirect
182. C61×#385C22semidirect
183. C61×#385C22semidirect
184. C4×C4⋊C4×C61C22semidirect
185. C4×C22⋊C4×C61C22semidirect
186. C4×C22⋊C4×C61C22semidirect
187. C61×#376C22semidirect
216. C4×D244C2×C4semidirect
217. D4×Dic61C2×C4semidirect
218. #14519739C2×C4semidirect
219. C4×C22⋊D61C2×C4semidirect
220. C4×C22⋊D61C2×C4semidirect
221. #14519737C2×C4semidirect
222. #14519737C2×C4semidirect
224. #14519735C2×C4semidirect
226. #14519734C2×C4semidirect
255. C2×#11758198C2×C4semidirect
285. C22⋊C4×D61C2×C4semidirect
343. C4×D4×C61C2×C4semidirect
409. C22×C4×C61C22×C4semidirect
440. C22×Dic61C22×C4semidirect
496. C2×C4×D61C22×C4semidirect
497. C2×C4×D61C22×C4semidirect
502. C4⋊C4×C61C22×C4semidirect
510. C22⋊C4×C61C22×C4semidirect
517. C42×C61C22×C4semidirect
525. C22⋊Dic61C22×C4semidirect
548. #11758198C22×C4semidirect
549. #11758198C22×C4semidirect
554. C4⋊Dic61C22×C4semidirect
563. #11758196C22×C4semidirect
564. #11758196C22×C4semidirect
575. C4×Dic61C22×C4semidirect
576. C4×Dic61C22×C4semidirect
577. C4×Dic61C22×C4semidirect
620. C22×D61#117semidirect
828. #2290D61semidirect
861. C2×#117C2×D61semidirect
874. C22×C42C2×D61semidirect
889. #388C2×D61semidirect
890. #388C2×D61semidirect
905. #387C2×D61semidirect
906. #387C2×D61semidirect
937. #385C2×D61semidirect
938. #385C2×D61semidirect
966. C4×C4⋊C4C2×D61semidirect
989. C4×C22⋊C4C2×D61semidirect
990. C4×C22⋊C4C2×D61semidirect
994. #376C2×D61semidirect
1001. C61#34251semidirect
1042. C4×D4C4×D61semidirect
1298. C22×C4C2×C4×D61semidirect
1331. C4⋊C4C2×C4×D61semidirect
1371. C22⋊C4C2×C4×D61semidirect
1391. C42C2×C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168402342
#214487622
#214487602
#214487582
#214487542
#214487512
#214487492
#214487472
#214487432
#214486822
#214486802
#214486782
#214486742
#214486712
#214486692
#214486672
#214486632
#214484522
#214484472
#214484462
#214484452
#214484302
#214483932
#214482622
#214482592
#214482552
#386×D612
#385×D612
#214481712
C2×C4×#117581982
C61×#22902
#3425161