Finite Group Databasebeta

← #29845361

Subgroups — #29845361

Order 15616.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840401C211yesmaximal, characteristic
2#21448981C211yesmaximal, characteristic, complemented
3#21448970C211yesmaximal, characteristic, complemented
4#21448964C211yesmaximal, characteristic, complemented
5#21448956C211yesmaximal, characteristic, complemented
6#21448927C211yesmaximal, characteristic, complemented
7#21448871C211yesmaximal, characteristic, complemented
8#21448858C211yesmaximal, characteristic, complemented
9#21448805C211yesmaximal, characteristic, complemented
10#21448796C211yesmaximal, characteristic, complemented
11#21448761C211yesmaximal, characteristic, complemented
12#21448753C211yesmaximal, characteristic, complemented
13#21448665C211yesmaximal, characteristic, complemented
14#21448662C211yesmaximal, characteristic, complemented
15#21448644C211yesmaximal, characteristic, complemented
16D4×#11758198C211yesmaximal, characteristic, complemented
17#21448630C211yesmaximal, characteristic, complemented
18#21448603C211yesmaximal, characteristic, complemented
19#21448582C211yesmaximal, characteristic, complemented
20#21448570C211yesmaximal, characteristic, complemented
21#21448517C211yesmaximal, characteristic, complemented
22#21448493C211yesmaximal, characteristic, complemented
23#21448482C211yesmaximal, characteristic, complemented
24#21448473C211yesmaximal, characteristic, complemented
25#21448460C211yesmaximal, characteristic, complemented
26#21448413C211yesmaximal, characteristic, complemented
27#21448406C211yesmaximal, characteristic, complemented
28#21448393C211yesmaximal, characteristic, complemented
29#21448262C211yesmaximal, characteristic, complemented
30C2×#16839653C211yesmaximal, characteristic, complemented
31C4×#121×C61C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34#16840401C4116yescomplemented
35C2×#14519763C2211yescharacteristic
36C2×#14519762C2211yescharacteristic
37C2×#14519758C2211yescharacteristic
38C2×#14519755C2211yescharacteristic
39C2×#14519750C2211yescharacteristic
40C2×#14519749C2211yescharacteristic
41C2×#14519745C2211yescharacteristic
42C2×#14519745C2211yescharacteristic
43C2×D4×Dic61C2211yescharacteristic
44C2×D4×Dic61C2211yescharacteristic, complemented
45C2×C4×C22⋊D61C2211yescharacteristic
46C2×C4×C22⋊D61C2211yescharacteristic, complemented
47C2×#14519737C2211yescharacteristic
48C2×#14519734C2211yescharacteristic, complemented
49C2×#14519733C2211yescharacteristic, complemented
50C22×#11758196C2211yescharacteristic, complemented
51C22×#11758198C2211yescharacteristic
52C22×#11758198C2211yescharacteristic
53C22×#11758198C2211yescharacteristic
54C22×#11758198C2211yescharacteristic
55C2×C22⋊C4×D61C2211yescharacteristic
56C2×C22⋊C4×D61C2211yescharacteristic
57#16839668C2211yescharacteristic, complemented
58#16839667C2211yescharacteristic, complemented
59#16839666C2211yescharacteristic, complemented
60#16839666C2211yescharacteristic, complemented
61#16839664C2211yescharacteristic
62#16839663C2211yescharacteristic
63#16839662C2211yescharacteristic
64#16839662C2211yescharacteristic
65#16839662C2211yescharacteristic, complemented
66#16839662C2211yescharacteristic, complemented
67#16839662C2211yescharacteristic, complemented
68#16839659C2211yescharacteristic, complemented
69#16839659C2211yescharacteristic, complemented
70#16839657C2211yescharacteristic, complemented
71#16839656C2211yescharacteristic, complemented
72#16839655C2211yescharacteristic, complemented
73#16839655C2211yescharacteristic, complemented
74#16839654C2211yescharacteristic
75#16839654C2211yescharacteristic, complemented
76#16839653C2211yescharacteristic
77#16839653C2211yescharacteristic
78#16839653C2211yescharacteristic
79#16839653C2211yescharacteristic
80#16839653C2211yescharacteristic
81#16839653C2211yescharacteristic, complemented
82#16839653C2211yescharacteristic, complemented
83#16839653C2211yescharacteristic, complemented
84#16839653C2211yescharacteristic, complemented
85#16839653C2211yescharacteristic, complemented
86#16839653C2211yescharacteristic, complemented
87#16839652C2211yescharacteristic
88#16839652C2211yescharacteristic
89#16839652C2211yescharacteristic
90#16839652C2211yescharacteristic, complemented
91#16839652C2211yescharacteristic, complemented
92#16839651C2211yescharacteristic
93#16839651C2211yescharacteristic
94#16839651C2211yescharacteristic
95#16839651C2211yescharacteristic, complemented
96#16839650C2211yescharacteristic, complemented
97#16839650C2211yescharacteristic, complemented
98#16839650C2211yescharacteristic, complemented
99#16839648C2211yescharacteristic, complemented
100#16839648C2211yescharacteristic, complemented
101#16839646C2211yescharacteristic, complemented
102#16839646C2211yescharacteristic, complemented
103#16839646C2211yescharacteristic, complemented
104#16839644C2211yescharacteristic, complemented
105#16839644C2211yescharacteristic, complemented
106#16839643C2211yescharacteristic, complemented
107#16839643C2211yescharacteristic, complemented
108#16839643C2211yescharacteristic, complemented
109#16839642C2211yescharacteristic
110#16839642C2211yescharacteristic, complemented
111#16839642C2211yescharacteristic, complemented
112#16839642C2211yescharacteristic, complemented
113#16839641C2211yescharacteristic
114#16839641C2211yescharacteristic
115#16839641C2211yescharacteristic
116#16839641C2211yescharacteristic
117#16839641C2211yescharacteristic, complemented
118#16839640C2211yescharacteristic
119#16839640C2211yescharacteristic
120#16839639C2211yescharacteristic
121#16839639C2211yescharacteristic
122#16839639C2211yescharacteristic
123#16839639C2211yescharacteristic
124#16839639C2211yescharacteristic, complemented
125#16839639C2211yescharacteristic, complemented
126#16839638C2211yescharacteristic
127#16839638C2211yescharacteristic
128#16839638C2211yescharacteristic, complemented
129#16839635C2211yescharacteristic, complemented
130#16839635C2211yescharacteristic, complemented
131#16839635C2211yescharacteristic, complemented
132#16839634C2211yescharacteristic, complemented
133#16839634C2211yescharacteristic, complemented
134#16839633C2211yescharacteristic, complemented
135#16839633C2211yescharacteristic, complemented
136#16839633C2211yescharacteristic, complemented
137#16839629C2211yescharacteristic, complemented
138#16839624C2211yescharacteristic
139#16839624C2211yescharacteristic
140#16839624C2211yescharacteristic, complemented
141#16839623C2211yescharacteristic, complemented
142#16839623C2211yescharacteristic, complemented
143#16839621C2211yescharacteristic, complemented
144#16839621C2211yescharacteristic, complemented
145#16839620C2211yescharacteristic, complemented
146#16839620C2211yescharacteristic, complemented
147#16839619C2211yescharacteristic
148#16839619C2211yescharacteristic, complemented
149#16839617C2211yescharacteristic
150#16839617C2211yescharacteristic
151#16839617C2211yescharacteristic
152#16839617C2211yescharacteristic
153C4×#11758196C2211yescharacteristic, complemented
154C4×#11758196C2211yescharacteristic, complemented
155C22⋊C4×Dic61C2211yescharacteristic, complemented
156C22⋊C4×Dic61C2211yescharacteristic, complemented
157C22⋊C4×Dic61C2211yescharacteristic, complemented
158C22⋊C4×Dic61C2211yescharacteristic, complemented
159C4×#11758198C2211yescharacteristic
160C4×#11758198C2211yescharacteristic, complemented
161C4×#11758198C2211yescharacteristic, complemented
162C4×#11758198C2211yescharacteristic, complemented
163C4×C22⋊Dic61C2211yescharacteristic, complemented
164C4×C22⋊Dic61C2211yescharacteristic, complemented
165#16839609C2211yescharacteristic, complemented
166#16839609C2211yescharacteristic, complemented
167#16839609C2211yescharacteristic, complemented
168#16839608C2211yescharacteristic, complemented
169#16839607C2211yescharacteristic, complemented
170C2×#14519684C2211yescharacteristic, complemented
171C2×#14519684C2211yescharacteristic, complemented
172C2×#14519684C2211yescharacteristic, complemented
173C2×#121×C61C2211yescharacteristic
174C2×C4×D4×C61C2211yescharacteristic
175C2×C4×D4×C61C2211yescharacteristic, complemented
176C2×C4×D4×C61C2211yescharacteristic, complemented
177C22×C42×C61C2211yescharacteristic, complemented
178C61×#390C2211yescharacteristic, complemented
179C61×#389C2211yescharacteristic, complemented
180C61×#388C2211yescharacteristic, complemented
181C61×#388C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic
183C61×#386C2211yescharacteristic, complemented
184C61×#380C2211yescharacteristic, complemented
185C4×C4⋊C4×C61C2211yescharacteristic, complemented
186C4×C22⋊C4×C61C2211yescharacteristic, complemented
187C4×C22⋊C4×C61C2211yescharacteristic, complemented
188C24×D61C2311yescharacteristic
189C24×D61C2311yescharacteristic
190C2×#11758224—42no—
191C2×#11758224—42no—
192C2×#11758224C2×C418yescomplemented
193C22×Dic122C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C2×D4×D61—42no—
201C2×D4×D61—42no—
202C2×D4×D61C2×C418yescomplemented
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214#14519763C2×C418yescomplemented
215#14519762C2×C418yescomplemented
216#14519758C2×C418yescomplemented
217#14519755C2×C418yescomplemented
218#14519750C2×C418yescomplemented
219#14519749C2×C418yescomplemented
220#14519745C2×C418yescomplemented
221#14519745C2×C418yescomplemented
222D4×Dic61—42no—
223D4×Dic61—42no—
224C4×C22⋊D61—42no—
225C4×C22⋊D61C2×C418yescomplemented
226#14519737C2×C418yescomplemented
227#14519734—42no—
228#14519733—42no—
229C2×C4⋊Dic61C2311yescharacteristic
230C2×C4⋊Dic61C2311yescharacteristic
231C2×#11758196—42no—
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×#11758198—42no—
257C2×#11758198—42no—
258C2×#11758198—42no—
259C2×#11758198C2×C418yescomplemented
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
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C22⋊C4×D61—42no—
290C22⋊C4×D61C2×C418yescomplemented
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
300C2×C4×Dic61C2311yescharacteristic
301C2×C4×Dic61C2311yescharacteristic
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
336C22×D4×C61C2311yescharacteristic
337C22×D4×C61C2311yescharacteristic
338C22×D4×C61C2311yescharacteristic
339C23×C4×C61C2311yescharacteristic
340C23×C4×C61C2311yescharacteristic
341C23×C4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344#121×C61C2×C418yescomplemented
345C4×D4×C61—42no—
346C4×D4×C61—42no—
347C4×D4×C61—42no—
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C4⋊C4×C61C2311yescharacteristic
352C2×C4⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C42×C61—42no—
364C2×C42×C61C2311yescharacteristic
365C2×C42×C61C2311yescharacteristic
366C2×C42×C61C2311yescharacteristic
367C2×C42×C61C2311yescharacteristic
368C2×C42×C61C2311yescharacteristic
369C2×C42×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C24×C61C2411yescharacteristic
379C23×D61—22no—
380C23×D61—22no—
381C23×D61—41no—
382C23×D61—41no—
383C23×D61—41no—
384C23×D61—41no—
385C23×D61—41no—
386C23×D61—41no—
387C23×D61—41no—
388C23×D61—41no—
389C23×D61—41no—
390C23×D61—41no—
391C23×D61C22×C414yes—
392C23×D61C22×C414yes—
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C2×D4×C61—22no—
397C2×D4×C61—22no—
398C2×D4×C61—22no—
399C2×D4×C61—22no—
400C2×D4×C61—41no—
401C2×D4×C61—41no—
402C2×D4×C61C22×C414yes—
403C2×D4×C61C22×C414yes—
404C2×D4×C61C22×C414yes—
405C22×C4×C61—22no—
406C22×C4×C61—22no—
407C22×C4×C61—22no—
408C22×C4×C61—22no—
409C22×C4×C61—22no—
410C22×C4×C61—41no—
411C22×C4×C61—41no—
412C22×C4×C61—41no—
413C22×C4×C61—41no—
414C22×C4×C61—41no—
415C22×C4×C61—41no—
416C22×C4×C61—41no—
417C22×C4×C61—41no—
418C22×C4×C61—41no—
419C22×C4×C61C22×C414yes—
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C2×C22⋊D61—22no—
433C2×C22⋊D61—22no—
434C2×C22⋊D61—41no—
435C2×C22⋊D61—41no—
436C2×C22⋊D61—41no—
437C2×C22⋊D61—41no—
438C2×C22⋊D61—41no—
439C2×C22⋊D61—41no—
440C2×C22⋊D61—41no—
441C2×C22⋊D61—41no—
442C2×C22⋊D61C22×C414yes—
443C2×C22⋊D61C22×C414yes—
444C2×C22⋊D61C22×C414yes—
445C2×C22⋊D61C22×C414yes—
446C2×C22⋊D61C22×C414yes—
447C22×Dic61—22no—
448C22×Dic61—22no—
449C22×Dic61—22no—
450C22×Dic61—22no—
451C22×Dic61—41no—
452C22×Dic61—41no—
453C22×Dic61—41no—
454C22×Dic61—41no—
455C22×Dic61—41no—
456C22×Dic61—41no—
457C22×Dic61—41no—
458C22×Dic61—41no—
459C22×Dic61—41no—
460C22×Dic61—41no—
461C22×Dic61—41no—
462C22×Dic61—41no—
463C22×Dic61C22×C414yes—
464C22×Dic61C22×C414yes—
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478#11758224—416no—
479D4×D61—416no—
480C2×D244—41no—
481C2×D244—41no—
482C2×D244C22×C414yes—
483C2×C4×D61—41no—
484C2×C4×D61—41no—
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×D61—41no—
494C2×C4×D61—41no—
495C2×C4×D61C22×C414yes—
496C2×C4×D61C22×C414yes—
497C2×C4×D61C22×C414yes—
498C2×Dic122—41no—
499C2×Dic122—41no—
500C2×Dic122C22×C414yes—
501C4⋊C4×C61—41no—
502C4⋊C4×C61—41no—
503C4⋊C4×C61—41no—
504C4⋊C4×C61—41no—
505C4⋊C4×C61C22×C414yes—
506C22⋊C4×C61—22no—
507C22⋊C4×C61—22no—
508C22⋊C4×C61—41no—
509C22⋊C4×C61—41no—
510C22⋊C4×C61—41no—
511C22⋊C4×C61—41no—
512C22⋊C4×C61—41no—
513C22⋊C4×C61—41no—
514C22⋊C4×C61C22×C414yes—
515C22⋊C4×C61C22×C414yes—
516C42×C61—22no—
517C42×C61—22no—
518C42×C61—41no—
519C42×C61—41no—
520C42×C61—41no—
521C42×C61—41no—
522C22⋊Dic61—22no—
523C22⋊Dic61—22no—
524C22⋊Dic61—41no—
525C22⋊Dic61—41no—
526C22⋊Dic61—41no—
527C22⋊Dic61—41no—
528C22⋊Dic61—41no—
529C22⋊Dic61—41no—
530C22⋊Dic61C22×C414yes—
531C22⋊Dic61C22×C414yes—
532C22⋊Dic61C22×C414yes—
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#11758198—41no—
543#11758198—41no—
544#11758198—41no—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548#11758198—41no—
549#11758198—41no—
550#11758198—41no—
551#11758198—41no—
552#11758198—41no—
553#11758198—41no—
554#11758198—41no—
555#11758198C22×C414yes—
556#11758198C22×C414yes—
557#11758198C22×C414yes—
558#11758198C22×C414yes—
559#11758198C22×C414yes—
560#11758198C22×C414yes—
561#11758198C22×C414yes—
562C4⋊Dic61—41no—
563C4⋊Dic61—41no—
564#11758196—22no—
565#11758196—41no—
566#11758196—41no—
567#11758196—41no—
568#11758196—41no—
569#11758196—41no—
570#11758196—41no—
571#11758196—41no—
572#11758196—41no—
573#11758196—41no—
574#11758196C22×C414yes—
575#11758196C22×C414yes—
576#11758196C22×C414yes—
577C4×Dic61—41no—
578C4×Dic61—41no—
579C4×Dic61—41no—
580C4×Dic61—41no—
581C4×Dic61—41no—
582C4×Dic61—41no—
583C4×Dic61—41no—
584C4×Dic61—41no—
585C4×Dic61—41no—
586C4×Dic61—41no—
587C4×Dic61C22×C414yes—
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×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61C23×C412yes—
605C23×C61C23×C412yes—
606C23×C61C23×C412yes—
607C23×C61H(5,𝔽2)12yes—
608C23×C61H(5,𝔽2)12yes—
609C23×C61C2511yescharacteristic
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—21no—
621C22×D61—21no—
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—21no—
627C22×D61—21no—
628C22×D61—28no—
629C22×D61—44no—
630C22×D61—44no—
631C22×D61—44no—
632C22×D61—44no—
633C22×D61—44no—
634C22×D61—82no—
635C22×D61—82no—
636C22×D61—82no—
637C22×D61—82no—
638C22×D61—82no—
639C22×D61—82no—
640C22×D61—82no—
641C22×D61—82no—
642C22×D61C23×C412yes—
643C22×D61C23×C412yes—
644C22×D61C23×C412yes—
645D4×C61—28no—
646D4×C61—28no—
647D4×C61—44no—
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—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—44no—
680C2×C4×C61—44no—
681C2×C4×C61—44no—
682C2×C4×C61—82no—
683C2×C4×C61—82no—
684C2×C4×C61C23×C412yes—
685C2×C4×C61C23×C412yes—
686C2×C4×C61C23×C412yes—
687C2×C4×C61C23×C412yes—
688C2×C4×C61H(5,𝔽2)12yes—
689C22⋊D61—28no—
690C22⋊D61—44no—
691C22⋊D61—44no—
692C22⋊D61—44no—
693C22⋊D61—44no—
694C2×Dic61—28no—
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—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—44no—
730C2×Dic61—82no—
731C2×Dic61—82no—
732C2×Dic61—82no—
733C2×Dic61—82no—
734C2×Dic61C23×C412yes—
735C2×Dic61C23×C412yes—
736C2×Dic61C23×C412yes—
737C2×Dic61C23×C412yes—
738C2×Dic61C23×C412yes—
739D244—44no—
740C4×D61—44no—
741C4×D61—44no—
742C4×D61—44no—
743C4×D61—82no—
744C4×D61—82no—
745Dic122—44no—
746#34492—611nomaximal, Sylow
747C22×C61—22no—
748C22×C61—22no—
749C22×C61—22no—
750C22×C61—22no—
751C22×C61—22no—
752C22×C61—22no—
753C22×C61—22no—
754C22×C61—22no—
755C22×C61—22no—
756C22×C61—22no—
757C22×C61—22no—
758C22×C61—22no—
759C22×C61—41no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61#51814yes—
768C22×C61C24×C411yescharacteristic
769C22×C61C2×H(5,𝔽2)11yescharacteristic
770C22×C61C2×H(5,𝔽2)11yescharacteristic
771C22×C61C2×H(5,𝔽2)11yescharacteristic
772C22×C61#58511yescharacteristic
773C22×C61#58511yescharacteristic
774C22×C61#58511yescharacteristic
775C2×D61—22no—
776C2×D61—22no—
777C2×D61—22no—
778C2×D61—22no—
779C2×D61—22no—
780C2×D61—22no—
781C2×D61—22no—
782C2×D61—22no—
783C2×D61—22no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—88no—
797C2×D61—88no—
798C4×C61—22no—
799C4×C61—22no—
800C4×C61—22no—
801C4×C61—22no—
802C4×C61—22no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810Dic61—22no—
811Dic61—22no—
812Dic61—22no—
813Dic61—22no—
814Dic61—22no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823C2×#546—611no—
824#2378—611no—
825#2377—611no—
826#2376—611no—
827#2375—611no—
828#2372—611no—
829#2364—611no—
830#2363—611no—
831#2359—611no—
832#2358—611no—
833#2353—611no—
834#2353—611no—
835#2342—611no—
836#2342—611no—
837#2339—611no—
838D4×C22⋊C4—611no—
839#2337—611no—
840#2335—611no—
841#2333—611no—
842#2332—611no—
843#2325—611no—
844#2322—611no—
845#2321—611no—
846#2321—611no—
847#2319—611no—
848#2312—611no—
849#2311—611no—
850#2308—611no—
851C4×#121D6111yescharacteristic, complemented
852#2290—611no—
853C2×#388—611no—
854C2×C61—24no—
855C2×C61—42no—
856C2×C61—42no—
857C2×C61C2×#51811yescharacteristic
858C2×C61#342811yescharacteristic
859C2×C61C4×H(5,𝔽2)11yescharacteristic
860C2×C61#353411yescharacteristic
861C2×C61#354211yescharacteristic
862C2×C61#354511yescharacteristic
863C2×C61#356011yescharacteristic
864D61—42no—
865D61—42no—
866D61—42no—
867C22×#41—611no—
868C23×D4—611no—
869#546—6116no—
870C2×#124—611no—
871C2×#123—611no—
872C2×#123—611no—
873C2×C22⋊Q8—611no—
874C2×#121—611no—
875C2×#121—611no—
876C2×#121C2×D6111yescharacteristic
877C2×#120—611no—
878C2×#120—611no—
879C2×C4×D4—611no—
880C2×C4×D4—611no—
881C2×C4×D4—611no—
882C2×C4×D4—611no—
883C2×C4×D4—611no—
884C2×C4×D4C2×D6111yescharacteristic
885C2×C4×D4C2×D6111yescharacteristic, complemented
886C2×C4×D4C2×D6111yescharacteristic, complemented
887C2×#117—611no—
888C2×#117—611no—
889C22×C4⋊C4—611no—
890C22×C22⋊C4—611no—
891C22×C22⋊C4—611no—
892C22×C22⋊C4—611no—
893C22×C22⋊C4—611no—
894C22×C22⋊C4—611no—
895C22×C22⋊C4—611no—
896C22×C42C2×D6111yescharacteristic, complemented
897#391—611no—
898#391—611no—
899#391—611no—
900#391—611no—
901#390—611no—
902#390—611no—
903#390—611no—
904#390—611no—
905#390—611no—
906#390—611no—
907#390—611no—
908#390C2×D6111yescharacteristic, complemented
909#389—611no—
910#389—611no—
911#389—611no—
912#389C2×D6111yescharacteristic, complemented
913#388—611no—
914#388—611no—
915#388—611no—
916#388—611no—
917#388—611no—
918#388—611no—
919#388—611no—
920#388—611no—
921#388—611no—
922#388—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#388—611no—
937#388—611no—
938#388—611no—
939#388—611no—
940#388—611no—
941#388C2×D6111yescharacteristic, complemented
942#388C2×D6111yescharacteristic, complemented
943#387—611no—
944#387—611no—
945#387—611no—
946#387—611no—
947#387—611no—
948#387—611no—
949#387—611no—
950#387—611no—
951#387—611no—
952#387—611no—
953#386—611no—
954#386—611no—
955#386—611no—
956#386—611no—
957#386—611no—
958#386—611no—
959#386—611no—
960#386—611no—
961#386—611no—
962#386—611no—
963#386—611no—
964#386—611no—
965#386—611no—
966#386—611no—
967#386—611no—
968#386—611no—
969#386—611no—
970#386—611no—
971#386—611no—
972#386—611no—
973#386C2×D6111yescharacteristic
974#386C2×D6111yescharacteristic, complemented
975#385—611no—
976#385—611no—
977#385—611no—
978#385—611no—
979#385—611no—
980#385—611no—
981#385—611no—
982#385—611no—
983#383—611no—
984#381—611no—
985#381—611no—
986#381—611no—
987#381—611no—
988#381—611no—
989#380—611no—
990#380—611no—
991#380—611no—
992#380—611no—
993#380—611no—
994#380—611no—
995#380C2×D6111yescharacteristic, complemented
996#379—611no—
997#379—611no—
998#379—611no—
999#379—611no—
1000C4×C4⋊C4—611no—
1001C4×C4⋊C4—611no—
1002C4×C4⋊C4C2×D6111yescharacteristic, complemented
1003C4×C22⋊C4—611no—
1004C4×C22⋊C4—611no—
1005C4×C22⋊C4—611no—
1006C4×C22⋊C4—611no—
1007C4×C22⋊C4—611no—
1008C4×C22⋊C4—611no—
1009C4×C22⋊C4—611no—
1010C4×C22⋊C4—611no—
1011C4×C22⋊C4—611no—
1012C4×C22⋊C4—611no—
1013C4×C22⋊C4—611no—
1014C4×C22⋊C4—611no—
1015C4×C22⋊C4—611no—
1016C4×C22⋊C4C2×D6111yescharacteristic, complemented
1017C4×C22⋊C4C2×D6111yescharacteristic, complemented
1018#376—611no—
1019#376—611no—
1020C2×#95—611no—
1021C2×#95—611no—
1022C2×#95—611no—
1023C61#3449211yescharacteristic, complemented, Sylow
1024C25—611no—
1025C25—611no—
1026C2×#41—618no—
1027C2×#41—2442no—
1028C2×#41—2442no—
1029C22×Q8—611no—
1030C22×D4—611no—
1031C22×D4—611no—
1032C22×D4—611no—
1033C22×D4—611no—
1034C22×D4—611no—
1035C22×D4—618no—
1036C22×D4—611no—
1037C22×D4—2442no—
1038C22×D4—2442no—
1039C22×D4C22×D6111yescharacteristic
1040C22×D4C22×D6111yescharacteristic
1041C22×D4C22×D6111yescharacteristic
1042C23×C4—611no—
1043C23×C4—611no—
1044C23×C4—611no—
1045C23×C4—611no—
1046C23×C4—611no—
1047C23×C4—611no—
1048C23×C4—611no—
1049C23×C4—611no—
1050C23×C4—611no—
1051C23×C4—611no—
1052C23×C4—611no—
1053C23×C4C22×D6111yescharacteristic
1054C23×C4C22×D6111yescharacteristic
1055C23×C4C22×D6111yescharacteristic
1056C23×C4C22×D6111yescharacteristic
1057C23×C4C22×D6111yescharacteristic
1058#124—618no—
1059#123—618no—
1060#123—618no—
1061C22⋊Q8—618no—
1062#121—618no—
1063#121—618no—
1064#121C4×D6118yescomplemented
1065#120—618no—
1066#120—618no—
1067C4×D4—42no—
1068C4×D4—42no—
1069C4×D4—42no—
1070C4×D4—618no—
1071C4×D4—618no—
1072C4×D4—2442no—
1073C4×D4—2442no—
1074C4×D4—2442no—
1075#117—2442no—
1076#117—2442no—
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—611no—
1086C2×C4⋊C4—611no—
1087C2×C4⋊C4—611no—
1088C2×C4⋊C4—611no—
1089C2×C4⋊C4—611no—
1090C2×C4⋊C4—611no—
1091C2×C4⋊C4—611no—
1092C2×C4⋊C4—2442no—
1093C2×C4⋊C4C22×D6111yescharacteristic
1094C2×C4⋊C4C22×D6111yescharacteristic
1095C2×C4⋊C4C22×D6111yescharacteristic
1096C2×C4⋊C4C22×D6111yescharacteristic
1097C2×C4⋊C4C22×D6111yescharacteristic
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—611no—
1100C2×C22⋊C4—611no—
1101C2×C22⋊C4—618no—
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—618no—
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—611no—
1127C2×C22⋊C4—611no—
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—611no—
1138C2×C22⋊C4—611no—
1139C2×C22⋊C4—611no—
1140C2×C22⋊C4—2442no—
1141C2×C22⋊C4—2442no—
1142C2×C22⋊C4—2442no—
1143C2×C22⋊C4—2442no—
1144C2×C22⋊C4C22×D6111yescharacteristic
1145C2×C22⋊C4C22×D6111yescharacteristic
1146C2×C22⋊C4C22×D6111yescharacteristic
1147C2×C22⋊C4C22×D6111yescharacteristic
1148C2×C22⋊C4C22×D6111yescharacteristic
1149C2×C22⋊C4C22×D6111yescharacteristic
1150C2×C22⋊C4C22×D6111yescharacteristic
1151C2×C22⋊C4C22×D6111yescharacteristic
1152C2×C22⋊C4C22×D6111yescharacteristic
1153C2×C22⋊C4C22×D6111yescharacteristic
1154C2×C42—42no—
1155C2×C42—611no—
1156C2×C42—611no—
1157C2×C42—611no—
1158C2×C42—611no—
1159C2×C42—611no—
1160C2×C42—611no—
1161C2×C42—611no—
1162C2×C42—611no—
1163C2×C42—611no—
1164C2×C42—611no—
1165C2×C42—611no—
1166C2×C42C22×D6111yescharacteristic
1167C2×C42C22×D6111yescharacteristic
1168C2×C42C22×D6111yescharacteristic
1169C2×C42C22×D6111yescharacteristic
1170C2×C42C22×D6111yescharacteristic
1171C2×C42C22×D6111yescharacteristic
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#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196#95—611no—
1197#95—611no—
1198#95—611no—
1199#95—611no—
1200#95—611no—
1201#95—611no—
1202#95—611no—
1203#95—611no—
1204#95—611no—
1205#95—611no—
1206#95C22×D6111yescharacteristic
1207#95C22×D6111yescharacteristic
1208#95C22×D6111yescharacteristic
1209#95C22×D6111yescharacteristic
1210#95C22×D6111yescharacteristic
1211#95C22×D6111yescharacteristic
1212C24—611no—
1213C24—611no—
1214C24—611no—
1215C24—614no—
1216C24—614no—
1217C24—1222no—
1218C24—1222no—
1219C24—2441no—
1220C24—2441no—
1221C24—2441no—
1222C24—2441no—
1223C24—2441no—
1224C24—2441no—
1225C24—2441no—
1226C24—2441no—
1227C24—2441no—
1228C24—2441no—
1229C24C23×D6111yescharacteristic
1230C24C23×D6111yescharacteristic
1231C24C23×D6111yescharacteristic
1232#41—24416no—
1233C2×Q8—614no—
1234C2×Q8—2441no—
1235C2×Q8—2441no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—614no—
1243C2×D4—614no—
1244C2×D4—614no—
1245C2×D4—614no—
1246C2×D4—614no—
1247C2×D4—614no—
1248C2×D4—1222no—
1249C2×D4—1222no—
1250C2×D4—2441no—
1251C2×D4—2441no—
1252C2×D4—2441no—
1253C2×D4—2441no—
1254C2×D4—2441no—
1255C2×D4—2441no—
1256C2×D4—2441no—
1257C2×D4—2441no—
1258C2×D4—2441no—
1259C2×D4—2441no—
1260C2×D4—24416no—
1261C2×D4C2×C4×D6114yes—
1262C2×D4C2×C4×D6114yes—
1263C2×D4C2×C4×D6114yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—614no—
1279C22×C4—611no—
1280C22×C4—611no—
1281C22×C4—611no—
1282C22×C4—611no—
1283C22×C4—611no—
1284C22×C4—614no—
1285C22×C4—614no—
1286C22×C4—614no—
1287C22×C4—614no—
1288C22×C4—611no—
1289C22×C4—611no—
1290C22×C4—611no—
1291C22×C4—611no—
1292C22×C4—611no—
1293C22×C4—611no—
1294C22×C4—611no—
1295C22×C4—611no—
1296C22×C4—1222no—
1297C22×C4—1222no—
1298C22×C4—1222no—
1299C22×C4—1222no—
1300C22×C4—2441no—
1301C22×C4—2441no—
1302C22×C4—2441no—
1303C22×C4—2441no—
1304C22×C4—2441no—
1305C22×C4—2441no—
1306C22×C4—2441no—
1307C22×C4—2441no—
1308C22×C4—2441no—
1309C22×C4—2441no—
1310C22×C4—2441no—
1311C22×C4—2441no—
1312C22×C4—2441no—
1313C22×C4—2441no—
1314C22×C4—2441no—
1315C22×C4—2441no—
1316C22×C4—2441no—
1317C22×C4—2441no—
1318C22×C4—2441no—
1319C22×C4—2441no—
1320C22×C4—2441no—
1321C22×C4—2441no—
1322C22×C4—2441no—
1323C22×C4—2441no—
1324C22×C4C2×C4×D6114yes—
1325C22×C4C23×D6111yescharacteristic
1326C22×C4C23×D6111yescharacteristic
1327C22×C4C23×D6111yescharacteristic
1328C22×C4C23×D6111yescharacteristic
1329C22×C4C23×D6111yescharacteristic
1330C22×C4C23×D6111yescharacteristic
1331C22×C4C23×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333C22×C4C23×D6111yescharacteristic
1334C22×C4C23×D6111yescharacteristic
1335C22×C4C23×D6111yescharacteristic
1336C22×C4C23×D6111yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—614no—
1342C4⋊C4—614no—
1343C4⋊C4—614no—
1344C4⋊C4—1222no—
1345C4⋊C4—2441no—
1346C4⋊C4—2441no—
1347C4⋊C4—2441no—
1348C4⋊C4—2441no—
1349C4⋊C4—2441no—
1350C4⋊C4—2441no—
1351C4⋊C4—2441no—
1352C4⋊C4—2441no—
1353C4⋊C4—2441no—
1354C4⋊C4—2441no—
1355C4⋊C4—2441no—
1356C4⋊C4C2×C4×D6114yes—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—614no—
1366C22⋊C4—614no—
1367C22⋊C4—614no—
1368C22⋊C4—614no—
1369C22⋊C4—614no—
1370C22⋊C4—614no—
1371C22⋊C4—614no—
1372C22⋊C4—614no—
1373C22⋊C4—614no—
1374C22⋊C4—614no—
1375C22⋊C4—1222no—
1376C22⋊C4—1222no—
1377C22⋊C4—1222no—
1378C22⋊C4—1222no—
1379C22⋊C4—1222no—
1380C22⋊C4—2441no—
1381C22⋊C4—2441no—
1382C22⋊C4—2441no—
1383C22⋊C4—2441no—
1384C22⋊C4—2441no—
1385C22⋊C4—2441no—
1386C22⋊C4—2441no—
1387C22⋊C4—2441no—
1388C22⋊C4—2441no—
1389C22⋊C4—2441no—
1390C22⋊C4—2441no—
1391C22⋊C4—2441no—
1392C22⋊C4—2441no—
1393C22⋊C4—2441no—
1394C22⋊C4—2441no—
1395C22⋊C4—2441no—
1396C22⋊C4—2441no—
1397C22⋊C4—2441no—
1398C22⋊C4—2441no—
1399C22⋊C4—2441no—
1400C22⋊C4—2441no—
1401C22⋊C4—2441no—
1402C22⋊C4—2441no—
1403C22⋊C4—2441no—
1404C22⋊C4—2441no—
1405C22⋊C4C2×C4×D6114yes—
1406C22⋊C4C2×C4×D6114yes—
1407C42—22no—
1408C42—22no—
1409C42—41no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—614no—
1414C42—2441no—
1415C42—2441no—
1416C42—2441no—
1417C42—2441no—
1418C42—2441no—
1419C42—2441no—
1420C42—2441no—
1421C42—2441no—
1422C42—2441no—
1423C42—2441no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—612no—
1441C23—612no—
1442C23—612no—
1443C23—1228no—
1444C23—1221no—
1445C23—1221no—
1446C23—1221no—
1447C23—1221no—
1448C23—1221no—
1449C23—1221no—
1450C23—1221no—
1451C23—1221no—
1452C23—1221no—
1453C23—1221no—
1454C23—1221no—
1455C23—1221no—
1456C23—1221no—
1457C23—1221no—
1458C23—1221no—
1459C23—1221no—
1460C23—1221no—
1461C23—1221no—
1462C23—4882no—
1463C23—4882no—
1464C23—4882no—
1465C23—4882no—
1466C23—4882no—
1467C23—4882no—
1468C23—4882no—
1469C23—4882no—
1470C23—2444no—
1471C23—2444no—
1472C23—2444no—
1473C23—2444no—
1474C23—2444no—
1475C23C22×C4×D6112yes—
1476C23C22×C4×D6112yes—
1477C23C22×C4×D6112yes—
1478C23#1451982212yes—
1479C23#1451982312yes—
1480C23C24×D6111yescharacteristic
1481Q8—2444no—
1482D4—28no—
1483D4—28no—
1484D4—44no—
1485D4—1228no—
1486D4—2444no—
1487D4—2444no—
1488D4—2444no—
1489D4—2444no—
1490D4—2444no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—612no—
1528C2×C4—612no—
1529C2×C4—612no—
1530C2×C4—612no—
1531C2×C4—612no—
1532C2×C4—1228no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—1221no—
1564C2×C4—1221no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—4882no—
1568C2×C4—4882no—
1569C2×C4—4882no—
1570C2×C4—4882no—
1571C2×C4—4882no—
1572C2×C4—4882no—
1573C2×C4—2444no—
1574C2×C4—2444no—
1575C2×C4—2444no—
1576C2×C4—2444no—
1577C2×C4C22×C4×D6112yes—
1578C2×C4C22×C4×D6112yes—
1579C2×C4C22×C4×D6112yes—
1580C2×C4C22×C4×D6112yes—
1581C2×C4#1451982212yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—1222no—
1603C22—1222no—
1604C22—1222no—
1605C22—1222no—
1606C22—1222no—
1607C22—1222no—
1608C22—1222no—
1609C22—1222no—
1610C22—1222no—
1611C22—4888no—
1612C22—4888no—
1613C22—2441no—
1614C22—2441no—
1615C22—2441no—
1616C22—2441no—
1617C22—2441no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22#1684023414yes—
1626C22C23×C4×D6111yescharacteristic
1627C22C2×#1451982211yescharacteristic
1628C22C2×#1451982211yescharacteristic
1629C22C2×#1451982311yescharacteristic
1630C22#1684059811yescharacteristic
1631C22#1684059811yescharacteristic
1632C22#1684059811yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—1222no—
1646C4—1222no—
1647C4—1222no—
1648C4—1222no—
1649C4—1222no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C4—2441no—
1656C4—2441no—
1657C4—2441no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—2442no—
1662C2—2442no—
1663C2—2442no—
1664C2C2×#1684023411yescharacteristic
1665C2#2145901811yescharacteristic
1666C2C4×#1451982211yescharacteristic
1667C2#2146000911yescharacteristic
1668C2#2146013511yescharacteristic
1669C2#2146017111yescharacteristic
1670C2#2146037511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC4×#121×C61C2
socle, cosocleC23×C61C25
prime radicalC2×#16840401C2
hypercenterC4×#121D61
hypocenterC61#34492
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
2. #21448981C2semidirect
3. #21448970C2semidirect
4. #21448964C2semidirect
5. #21448956C2semidirect
6. #21448927C2semidirect
7. #21448871C2semidirect
8. #21448858C2semidirect
9. #21448805C2semidirect
10. #21448796C2semidirect
11. #21448761C2semidirect
12. #21448753C2semidirect
13. #21448665C2semidirect
14. #21448662C2semidirect
15. #21448644C2semidirect
16. D4×#11758198C2semidirect
17. #21448630C2semidirect
18. #21448603C2semidirect
19. #21448582C2semidirect
20. #21448570C2semidirect
21. #21448517C2semidirect
22. #21448493C2semidirect
23. #21448482C2semidirect
24. #21448473C2semidirect
25. #21448460C2semidirect
26. #21448413C2semidirect
27. #21448406C2semidirect
28. #21448393C2semidirect
29. #21448262C2semidirect
30. C2×#16839653C2semidirect
31. C4×#121×C61C2semidirect
34. #16840401C4semidirect
44. C2×D4×Dic61C22semidirect
46. C2×C4×C22⋊D61C22semidirect
48. C2×#14519734C22semidirect
49. C2×#14519733C22semidirect
50. C22×#11758196C22semidirect
57. #16839668C22semidirect
58. #16839667C22semidirect
59. #16839666C22semidirect
60. #16839666C22semidirect
65. #16839662C22semidirect
66. #16839662C22semidirect
67. #16839662C22semidirect
68. #16839659C22semidirect
69. #16839659C22semidirect
70. #16839657C22semidirect
71. #16839656C22semidirect
72. #16839655C22semidirect
73. #16839655C22semidirect
75. #16839654C22semidirect
81. #16839653C22semidirect
82. #16839653C22semidirect
83. #16839653C22semidirect
84. #16839653C22semidirect
85. #16839653C22semidirect
86. #16839653C22semidirect
90. #16839652C22semidirect
91. #16839652C22semidirect
95. #16839651C22semidirect
96. #16839650C22semidirect
97. #16839650C22semidirect
98. #16839650C22semidirect
99. #16839648C22semidirect
100. #16839648C22semidirect
101. #16839646C22semidirect
102. #16839646C22semidirect
103. #16839646C22semidirect
104. #16839644C22semidirect
105. #16839644C22semidirect
106. #16839643C22semidirect
107. #16839643C22semidirect
108. #16839643C22semidirect
110. #16839642C22semidirect
111. #16839642C22semidirect
112. #16839642C22semidirect
117. #16839641C22semidirect
124. #16839639C22semidirect
125. #16839639C22semidirect
128. #16839638C22semidirect
129. #16839635C22semidirect
130. #16839635C22semidirect
131. #16839635C22semidirect
132. #16839634C22semidirect
133. #16839634C22semidirect
134. #16839633C22semidirect
135. #16839633C22semidirect
136. #16839633C22semidirect
137. #16839629C22semidirect
140. #16839624C22semidirect
141. #16839623C22semidirect
142. #16839623C22semidirect
143. #16839621C22semidirect
144. #16839621C22semidirect
145. #16839620C22semidirect
146. #16839620C22semidirect
148. #16839619C22semidirect
153. C4×#11758196C22semidirect
154. C4×#11758196C22semidirect
155. C22⋊C4×Dic61C22semidirect
156. C22⋊C4×Dic61C22semidirect
157. C22⋊C4×Dic61C22semidirect
158. C22⋊C4×Dic61C22semidirect
160. C4×#11758198C22semidirect
161. C4×#11758198C22semidirect
162. C4×#11758198C22semidirect
163. C4×C22⋊Dic61C22semidirect
164. C4×C22⋊Dic61C22semidirect
165. #16839609C22semidirect
166. #16839609C22semidirect
167. #16839609C22semidirect
168. #16839608C22semidirect
169. #16839607C22semidirect
170. C2×#14519684C22semidirect
171. C2×#14519684C22semidirect
172. C2×#14519684C22semidirect
175. C2×C4×D4×C61C22semidirect
176. C2×C4×D4×C61C22semidirect
177. C22×C42×C61C22semidirect
178. C61×#390C22semidirect
179. C61×#389C22semidirect
180. C61×#388C22semidirect
181. C61×#388C22semidirect
183. C61×#386C22semidirect
184. C61×#380C22semidirect
185. C4×C4⋊C4×C61C22semidirect
186. C4×C22⋊C4×C61C22semidirect
187. C4×C22⋊C4×C61C22semidirect
192. C2×#11758224C2×C4semidirect
202. C2×D4×D61C2×C4semidirect
214. #14519763C2×C4semidirect
215. #14519762C2×C4semidirect
216. #14519758C2×C4semidirect
217. #14519755C2×C4semidirect
218. #14519750C2×C4semidirect
219. #14519749C2×C4semidirect
220. #14519745C2×C4semidirect
221. #14519745C2×C4semidirect
225. C4×C22⋊D61C2×C4semidirect
226. #14519737C2×C4semidirect
259. C2×#11758198C2×C4semidirect
290. C22⋊C4×D61C2×C4semidirect
344. #121×C61C2×C4semidirect
851. C4×#121D61semidirect
885. C2×C4×D4C2×D61semidirect
886. C2×C4×D4C2×D61semidirect
896. C22×C42C2×D61semidirect
908. #390C2×D61semidirect
912. #389C2×D61semidirect
941. #388C2×D61semidirect
942. #388C2×D61semidirect
974. #386C2×D61semidirect
995. #380C2×D61semidirect
1002. C4×C4⋊C4C2×D61semidirect
1016. C4×C22⋊C4C2×D61semidirect
1017. C4×C22⋊C4C2×D61semidirect
1023. C61#34492semidirect
1064. #121C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168404012
#214489812
#214489702
#214489642
#214489562
#214489272
#214488712
#214488582
#214488052
#214487962
#214487612
#214487532
#214486652
#214486622
#214486442
D4×#117581982
#214486302
#214486032
#214485822
#214485702
#214485172
#214484932
#214484822
#214484732
#214484602
#214484132
#214484062
#214483932
#214482622
C2×#168396532
C4×#121×C612
#3449261