Finite Group Databasebeta

← #29888354

Subgroups — #29888354

Order 15616.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454114C211yesmaximal, characteristic, complemented
2#21454102C211yesmaximal, characteristic, complemented
3#21453433C211yesmaximal, characteristic, complemented
4#21453431C211yesmaximal, characteristic, complemented
5#21453194C211yesmaximal, characteristic, complemented
6#21453063C211yesmaximal, characteristic, complemented
7#21453048C211yesmaximal, characteristic, complemented
8#21453043C211yesmaximal, characteristic, complemented
9#21452965C211yesmaximal, characteristic, complemented
10#21452462C211yesmaximal, characteristic, complemented
11#21452377C211yesmaximal, characteristic, complemented
12#21452363C211yesmaximal, characteristic, complemented
13#21452258C211yesmaximal, characteristic, complemented
14#21452258C211yesmaximal, characteristic, complemented
15#21452202C211yesmaximal, characteristic, complemented
16#21452149C211yesmaximal, characteristic, complemented
17#21452116C211yesmaximal, characteristic, complemented
18#21452028C211yesmaximal, characteristic, complemented
19#21451775C211yesmaximal, characteristic, complemented
20#21451753C211yesmaximal, characteristic, complemented
21#21450375C211yesmaximal, characteristic, complemented
22#21449952C211yesmaximal, characteristic, complemented
23#21449573C211yesmaximal, characteristic, complemented
24#21449353C211yesmaximal, characteristic, complemented
25#21449187C211yesmaximal, characteristic, complemented
26#21449187C211yesmaximal, characteristic, complemented
27#21449132C211yesmaximal, characteristic, complemented
28#21448474C211yesmaximal, characteristic, complemented
29#21448394C211yesmaximal, characteristic, complemented
30C2×#16839638C211yesmaximal, characteristic, complemented
31C61×#2437C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C23×C22⋊D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic, complemented
35C2×#14519766C2211yescharacteristic, complemented
36C2×#14519762C2211yescharacteristic, complemented
37C2×#14519762C2211yescharacteristic, complemented
38C2×#14519752C2211yescharacteristic, complemented
39C2×#14519752C2211yescharacteristic, complemented
40C2×#14519752C2211yescharacteristic, complemented
41C2×#14519751C2211yescharacteristic
42C2×#14519751C2211yescharacteristic
43C2×#14519751C2211yescharacteristic, complemented
44C2×#14519751C2211yescharacteristic, complemented
45C2×#14519747C2211yescharacteristic
46C2×#14519747C2211yescharacteristic
47C2×#14519747C2211yescharacteristic
48C2×#14519747C2211yescharacteristic
49C2×#14519747C2211yescharacteristic, complemented
50C2×#14519747C2211yescharacteristic, complemented
51C2×#14519746C2211yescharacteristic
52C2×#14519737C2211yescharacteristic, complemented
53C22×C22⋊Dic61C2211yescharacteristic
54C22×#11758198C2211yescharacteristic, complemented
55C61⋊#401C2211yescharacteristic, complemented
56C61⋊#401C2211yescharacteristic, complemented
57#16839704C2211yescharacteristic, complemented
58#16839704C2211yescharacteristic, complemented
59#16839701C2211yescharacteristic, complemented
60#16839701C2211yescharacteristic, complemented
61#16839701C2211yescharacteristic, complemented
62#16839701C2211yescharacteristic, complemented
63#16839700C2211yescharacteristic, complemented
64#16839691C2211yescharacteristic, complemented
65#16839691C2211yescharacteristic, complemented
66#16839689C2211yescharacteristic, complemented
67#16839689C2211yescharacteristic, complemented
68#16839688C2211yescharacteristic, complemented
69#16839688C2211yescharacteristic, complemented
70#16839688C2211yescharacteristic, complemented
71#16839688C2211yescharacteristic, complemented
72#16839688C2211yescharacteristic, complemented
73#16839688C2211yescharacteristic, complemented
74#16839684C2211yescharacteristic, complemented
75#16839684C2211yescharacteristic, complemented
76#16839680C2211yescharacteristic, complemented
77#16839679C2211yescharacteristic, complemented
78#16839679C2211yescharacteristic, complemented
79#16839679C2211yescharacteristic, complemented
80#16839679C2211yescharacteristic, complemented
81#16839679C2211yescharacteristic, complemented
82#16839679C2211yescharacteristic, complemented
83#16839678C2211yescharacteristic
84#16839678C2211yescharacteristic
85#16839678C2211yescharacteristic, complemented
86#16839678C2211yescharacteristic, complemented
87#16839673C2211yescharacteristic, complemented
88#16839673C2211yescharacteristic, complemented
89#16839673C2211yescharacteristic, complemented
90#16839672C2211yescharacteristic, complemented
91#16839671C2211yescharacteristic
92#16839671C2211yescharacteristic
93#16839671C2211yescharacteristic
94#16839671C2211yescharacteristic
95#16839671C2211yescharacteristic
96#16839671C2211yescharacteristic
97#16839671C2211yescharacteristic, complemented
98#16839671C2211yescharacteristic, complemented
99#16839663C2211yescharacteristic, complemented
100#16839663C2211yescharacteristic, complemented
101#16839662C2211yescharacteristic, complemented
102#16839662C2211yescharacteristic, complemented
103#16839656C2211yescharacteristic, complemented
104#16839656C2211yescharacteristic, complemented
105#16839654C2211yescharacteristic, complemented
106#16839654C2211yescharacteristic, complemented
107#16839652C2211yescharacteristic, complemented
108#16839652C2211yescharacteristic, complemented
109#16839652C2211yescharacteristic, complemented
110#16839652C2211yescharacteristic, complemented
111#16839650C2211yescharacteristic, complemented
112#16839650C2211yescharacteristic, complemented
113#16839648C2211yescharacteristic, complemented
114#16839648C2211yescharacteristic, complemented
115#16839641C2211yescharacteristic
116#16839641C2211yescharacteristic
117#16839641C2211yescharacteristic, complemented
118#16839641C2211yescharacteristic, complemented
119#16839641C2211yescharacteristic, complemented
120#16839641C2211yescharacteristic, complemented
121#16839641C2211yescharacteristic, complemented
122#16839641C2211yescharacteristic, complemented
123#16839640C2211yescharacteristic, complemented
124#16839640C2211yescharacteristic, complemented
125#16839640C2211yescharacteristic, complemented
126#16839640C2211yescharacteristic, complemented
127#16839640C2211yescharacteristic, complemented
128#16839640C2211yescharacteristic, complemented
129#16839640C2211yescharacteristic, complemented
130#16839640C2211yescharacteristic, complemented
131#16839639C2211yescharacteristic
132#16839639C2211yescharacteristic
133#16839639C2211yescharacteristic
134#16839639C2211yescharacteristic
135#16839639C2211yescharacteristic
136#16839639C2211yescharacteristic
137#16839639C2211yescharacteristic
138#16839639C2211yescharacteristic
139#16839639C2211yescharacteristic, complemented
140#16839639C2211yescharacteristic, complemented
141#16839639C2211yescharacteristic, complemented
142#16839638C2211yescharacteristic
143#16839638C2211yescharacteristic
144#16839638C2211yescharacteristic
145#16839638C2211yescharacteristic
146#16839638C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic, complemented
149#16839638C2211yescharacteristic, complemented
150#16839638C2211yescharacteristic, complemented
151#16839638C2211yescharacteristic, complemented
152#16839637C2211yescharacteristic, complemented
153#16839637C2211yescharacteristic, complemented
154#16839634C2211yescharacteristic, complemented
155#16839633C2211yescharacteristic, complemented
156#16839633C2211yescharacteristic, complemented
157#16839629C2211yescharacteristic, complemented
158#16839624C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic, complemented
160#16839624C2211yescharacteristic, complemented
161#16839623C2211yescharacteristic, complemented
162#16839623C2211yescharacteristic, complemented
163#16839619C2211yescharacteristic, complemented
164#16839619C2211yescharacteristic, complemented
165#16839617C2211yescharacteristic, complemented
166#16839617C2211yescharacteristic, complemented
167#16839617C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic, complemented
169C22⋊C4×Dic61C2211yescharacteristic, complemented
170C2×#14519684C2211yescharacteristic, complemented
171C2×#14519684C2211yescharacteristic, complemented
172C2×C22⋊Q8×C61C2211yescharacteristic, complemented
173C2×C22⋊Q8×C61C2211yescharacteristic, complemented
174C22×C22⋊C4×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C61×#399C2211yescharacteristic, complemented
177C61×#396C2211yescharacteristic, complemented
178C61×#396C2211yescharacteristic, complemented
179C61×#393C2211yescharacteristic, complemented
180C61×#385C2211yescharacteristic, complemented
181C61×#385C2211yescharacteristic, complemented
182C61×#385C2211yescharacteristic, complemented
183C61×#385C2211yescharacteristic, complemented
184C61×#380C2211yescharacteristic, complemented
185C61×#380C2211yescharacteristic, complemented
186C61×#379C2211yescharacteristic
187C24×D61C2311yescharacteristic
188C24×D61C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×C22⋊D61—24no—
198C22×C22⋊D61—24no—
199C22×C22⋊D61—42no—
200C22×C22⋊D61—42no—
201C22×C22⋊D61—42no—
202C22×C22⋊D61—42no—
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C23×Dic61C2311yescharacteristic
216C23×Dic61C2311yescharacteristic
217C23×Dic61C2311yescharacteristic
218C22×C4×D61—42no—
219C22×C4×D61—42no—
220C22×C4×D61—42no—
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226#14519766—42no—
227#14519762—42no—
228#14519762—42no—
229#14519752—42no—
230#14519752—42no—
231#14519752—42no—
232#14519751—42no—
233#14519751—42no—
234#14519751—42no—
235#14519751—42no—
236#14519747—42no—
237#14519747—42no—
238#14519747—42no—
239#14519747—42no—
240#14519747—42no—
241#14519747—42no—
242#14519746—24no—
243#14519737—42no—
244C2×C4⋊Dic61C2311yescharacteristic
245C2×C4⋊Dic61C2311yescharacteristic
246C2×C4⋊Dic61C2311yescharacteristic
247C2×C4⋊Dic61C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×C22⋊Dic61—42no—
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×#11758198—42no—
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
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
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
336C25×C61C2311yescharacteristic
337C22×Q8×C61C2311yescharacteristic
338C23×C4×C61C2311yescharacteristic
339C23×C4×C61C2311yescharacteristic
340C23×C4×C61C2311yescharacteristic
341C23×C4×C61C2311yescharacteristic
342C22⋊Q8×C61—42no—
343C22⋊Q8×C61—42no—
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C4⋊C4×C61C2311yescharacteristic
352C2×C4⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61—42no—
354C2×C22⋊C4×C61—42no—
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×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375C24×C61—22no—
376C24×C61—22no—
377C24×C61—41no—
378C24×C61—41no—
379C24×C61—41no—
380C24×C61—41no—
381C24×C61#4114yes—
382C24×C61C2411yescharacteristic
383C24×C61C2411yescharacteristic
384C24×C61C2411yescharacteristic
385C23×D61—22no—
386C23×D61—22no—
387C23×D61—22no—
388C23×D61—22no—
389C23×D61—22no—
390C23×D61—22no—
391C23×D61—41no—
392C23×D61—41no—
393C23×D61—41no—
394C23×D61—41no—
395C23×D61—41no—
396C23×D61—41no—
397C23×D61—41no—
398C23×D61—41no—
399C23×D61C2411yescharacteristic
400C23×D61C2411yescharacteristic
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C2×Q8×C61—41no—
405C2×Q8×C61—41no—
406C2×Q8×C61—41no—
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×C61C2411yescharacteristic
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
431C2×C22⋊D61—22no—
432C2×C22⋊D61—22no—
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—22no—
447C2×C22⋊D61—22no—
448C2×C22⋊D61—22no—
449C2×C22⋊D61—22no—
450C2×C22⋊D61—22no—
451C2×C22⋊D61—22no—
452C2×C22⋊D61—41no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
458C2×C22⋊D61—41no—
459C2×C22⋊D61—41no—
460C2×C22⋊D61—41no—
461C2×C22⋊D61—41no—
462C2×C22⋊D61—41no—
463C2×C22⋊D61—41no—
464C2×C22⋊D61—416no—
465C2×C22⋊D61—416no—
466C22×Dic61—22no—
467C22×Dic61—22no—
468C22×Dic61—22no—
469C22×Dic61—22no—
470C22×Dic61—41no—
471C22×Dic61—41no—
472C22×Dic61—41no—
473C22×Dic61—41no—
474C22×Dic61—41no—
475C22×Dic61—41no—
476C22×Dic61—41no—
477C22×Dic61—41no—
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C22×Dic61C2411yescharacteristic
487C22×Dic61C2411yescharacteristic
488C22×Dic61C2411yescharacteristic
489C2×D244—22no—
490C2×D244—22no—
491C2×D244—22no—
492C2×D244—22no—
493C2×D244—22no—
494C2×D244—22no—
495C2×D244—22no—
496C2×D244—41no—
497C2×D244—41no—
498C2×D244—41no—
499C2×D244—41no—
500C2×D244—41no—
501C2×D244—41no—
502C2×D244—41no—
503C2×D244—41no—
504C2×D244—41no—
505C2×D244—41no—
506C2×D244—41no—
507C2×D244—41no—
508C2×D244—41no—
509C2×D244—41no—
510C2×D244—41no—
511C2×D244—41no—
512C2×D244—41no—
513C2×C4×D61—22no—
514C2×C4×D61—22no—
515C2×C4×D61—22no—
516C2×C4×D61—22no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C2×C4×D61—41no—
525C2×C4×D61—416no—
526C2×C4×D61—41no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C4⋊C4×C61—22no—
530C4⋊C4×C61—22no—
531C4⋊C4×C61—41no—
532C4⋊C4×C61—41no—
533C4⋊C4×C61—41no—
534C4⋊C4×C61—41no—
535C4⋊C4×C61—41no—
536C4⋊C4×C61—41no—
537C4⋊C4×C61—41no—
538C22⋊C4×C61—22no—
539C22⋊C4×C61—22no—
540C22⋊C4×C61—22no—
541C22⋊C4×C61—22no—
542C22⋊C4×C61—22no—
543C22⋊C4×C61—22no—
544C22⋊C4×C61—41no—
545C22⋊C4×C61—41no—
546C22⋊C4×C61—41no—
547C22⋊C4×C61—41no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C22⋊Dic61—22no—
553C22⋊Dic61—22no—
554C22⋊Dic61—22no—
555C22⋊Dic61—41no—
556C22⋊Dic61—41no—
557C22⋊Dic61—41no—
558C22⋊Dic61—41no—
559#11758198—22no—
560#11758198—22no—
561#11758198—22no—
562#11758198—22no—
563#11758198—22no—
564#11758198—41no—
565#11758198—41no—
566#11758198—41no—
567#11758198—41no—
568#11758198—41no—
569#11758198—41no—
570#11758198—41no—
571#11758198—41no—
572#11758198—41no—
573#11758198—41no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578#11758198—41no—
579#11758198—41no—
580#11758198—41no—
581#11758198—41no—
582#11758198—41no—
583#11758198—41no—
584#11758198—41no—
585#11758198—41no—
586#11758198—41no—
587#11758198—41no—
588#11758198—41no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592#11758198—41no—
593#11758198—41no—
594#11758198—41no—
595#11758198—41no—
596#11758198—41no—
597#11758198—41no—
598C4⋊Dic61—41no—
599C4⋊Dic61—41no—
600C4⋊Dic61—41no—
601C4⋊Dic61—41no—
602#11758196—41no—
603#11758196—41no—
604#11758196—41no—
605C4×Dic61—41no—
606C4×Dic61—41no—
607C4×Dic61—41no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—28no—
625C23×C61—44no—
626C23×C61—44no—
627C23×C61—82no—
628C23×C61—82no—
629C23×C61—82no—
630C23×C61—82no—
631C23×C61C2×#4112yes—
632C23×C61C2×#4112yes—
633C23×C61C2×#4112yes—
634C23×C61H(5,𝔽2)12yes—
635C23×C61H(5,𝔽2)12yes—
636C23×C61C2511yescharacteristic
637C22×D61—28no—
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—21no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—21no—
671C22×D61—44no—
672C22×D61—44no—
673C22×D61—44no—
674C22×D61—44no—
675C22×D61—44no—
676C22×D61—44no—
677C22×D61—44no—
678C22×D61—82no—
679C22×D61—82no—
680C22×D61—82no—
681C22×D61—82no—
682C22×D61—82no—
683C22×D61—82no—
684C22×D61H(5,𝔽2)12yes—
685C22×D61H(5,𝔽2)12yes—
686Q8×C61—82no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—44no—
723C2×C4×C61—82no—
724C2×C4×C61—82no—
725C2×C4×C61—82no—
726C2×C4×C61H(5,𝔽2)12yes—
727C22⋊D61—44no—
728C22⋊D61—44no—
729C22⋊D61—44no—
730C22⋊D61—44no—
731C22⋊D61—44no—
732C22⋊D61—44no—
733C22⋊D61—44no—
734C22⋊D61—44no—
735C22⋊D61—44no—
736C22⋊D61—82no—
737C22⋊D61—82no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—44no—
772C2×Dic61—44no—
773C2×Dic61—44no—
774C2×Dic61—82no—
775D244—82no—
776D244—82no—
777D244—82no—
778D244—82no—
779D244—82no—
780D244—82no—
781D244—82no—
782D244—82no—
783C4×D61—44no—
784C4×D61—44no—
785C4×D61—44no—
786C4×D61—44no—
787C4×D61—82no—
788#36776—611nomaximal, Sylow
789C22×C61—22no—
790C22×C61—22no—
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—22no—
794C22×C61—22no—
795C22×C61—22no—
796C22×C61—22no—
797C22×C61—22no—
798C22×C61—22no—
799C22×C61—22no—
800C22×C61—22no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—88no—
810C22×C61#53814yes—
811C22×C61C22×#4111yescharacteristic
812C22×C61C2×H(5,𝔽2)11yescharacteristic
813C22×C61C2×H(5,𝔽2)11yescharacteristic
814C22×C61C2×H(5,𝔽2)11yescharacteristic
815C22×C61C2×H(5,𝔽2)11yescharacteristic
816C22×C61C2×H(5,𝔽2)11yescharacteristic
817C22×C61#58511yescharacteristic
818C2×D61—22no—
819C2×D61—22no—
820C2×D61—22no—
821C2×D61—22no—
822C2×D61—22no—
823C2×D61—22no—
824C2×D61—416no—
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—88no—
855C4×C61—22no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61—41no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870Dic61—41no—
871Dic61—41no—
872Dic61—41no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876Dic61—41no—
877Dic61—41no—
878#2849—611no—
879#2847—611no—
880#2778—611no—
881#2778—611no—
882#2760—611no—
883#2750—611no—
884#2749—611no—
885#2749—611no—
886#2743—611no—
887#2703—611no—
888#2697—611no—
889#2696—611no—
890#2688—611no—
891#2688—611no—
892#2684—611no—
893#2678—611no—
894#2676—611no—
895#2668—611no—
896#2643—611no—
897#2639—611no—
898#2510—611no—
899#2472—611no—
900#2444—611no—
901#2437D6111yescharacteristic, complemented
902#2424—611no—
903#2410—611no—
904#2410—611no—
905#2403—611no—
906#2321—611no—
907#2308—611no—
908C2×#386—611no—
909C2×C61—24no—
910C2×C61—42no—
911C2×C61—42no—
912C2×C61C2×#53811yescharacteristic
913C2×C61#349011yescharacteristic
914C2×C61#350511yescharacteristic
915C2×C61#353211yescharacteristic
916C2×C61#353411yescharacteristic
917C2×C61#353411yescharacteristic
918C2×C61#353711yescharacteristic
919D61—42no—
920D61—42no—
921D61—81no—
922D61—81no—
923D61—81no—
924C23×D4—611no—
925C23×D4—611no—
926C24×C4—611no—
927C2×#124—611no—
928C2×#123—611no—
929C2×#123—611no—
930C2×C22⋊Q8C2×D6111yescharacteristic, complemented
931C2×C22⋊Q8C2×D6111yescharacteristic, complemented
932C2×#121—611no—
933C2×#121—611no—
934C2×#121—611no—
935C2×#121—611no—
936C2×#121—611no—
937C2×#121—611no—
938C2×#121—611no—
939C2×#120—611no—
940C2×#120—611no—
941C2×#120—611no—
942C2×#120—611no—
943C2×#120—611no—
944C2×#120—611no—
945C2×#120—611no—
946C2×C4×D4—611no—
947C22×C22⋊C4—611no—
948C22×C22⋊C4—611no—
949C22×C22⋊C4C2×D6111yescharacteristic
950C22×C22⋊C4C2×D6111yescharacteristic
951#401—611no—
952#401—611no—
953#400—611no—
954#400—611no—
955#400—611no—
956#400—611no—
957#400—611no—
958#400—611no—
959#400—611no—
960#399C2×D6111yescharacteristic, complemented
961#397—611no—
962#397—611no—
963#397—611no—
964#397—611no—
965#397—611no—
966#397—611no—
967#397—611no—
968#397—611no—
969#397—611no—
970#397—611no—
971#396—611no—
972#396—611no—
973#396C2×D6111yescharacteristic, complemented
974#396C2×D6111yescharacteristic, complemented
975#394—611no—
976#394—611no—
977#394—611no—
978#394—611no—
979#394—611no—
980#394—611no—
981#394—611no—
982#394—611no—
983#394—611no—
984#394—611no—
985#394—611no—
986#393—611no—
987#393—611no—
988#393—611no—
989#393C2×D6111yescharacteristic, complemented
990#392—611no—
991#392—611no—
992#392—611no—
993#392—611no—
994#392—611no—
995#392—611no—
996#392—611no—
997#392—611no—
998#392—611no—
999#390—611no—
1000#390—611no—
1001#390—611no—
1002#390—611no—
1003#388—611no—
1004#388—611no—
1005#388—611no—
1006#388—611no—
1007#388—611no—
1008#388—611no—
1009#388—611no—
1010#388—611no—
1011#388—611no—
1012#388—611no—
1013#387—611no—
1014#387—611no—
1015#386—611no—
1016#386—611no—
1017#386—611no—
1018#386—611no—
1019#386—611no—
1020#386—611no—
1021#386—611no—
1022#386—611no—
1023#386—611no—
1024#386—611no—
1025#386—611no—
1026#386—611no—
1027#386—611no—
1028#386—611no—
1029#386—611no—
1030#386—611no—
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386—611no—
1035#386—611no—
1036#386—611no—
1037#386—611no—
1038#386—611no—
1039#386—611no—
1040#386—611no—
1041#386—611no—
1042#386—611no—
1043#386—611no—
1044#386—611no—
1045#386—611no—
1046#386—611no—
1047#386—611no—
1048#386—611no—
1049#386—611no—
1050#386—611no—
1051#386—611no—
1052#385—611no—
1053#385—611no—
1054#385—611no—
1055#385—611no—
1056#385—611no—
1057#385C2×D6111yescharacteristic, complemented
1058#385C2×D6111yescharacteristic, complemented
1059#385C2×D6111yescharacteristic, complemented
1060#385C2×D6111yescharacteristic, complemented
1061#383—611no—
1062#381—611no—
1063#381—611no—
1064#381—611no—
1065#381—611no—
1066#381—611no—
1067#380—611no—
1068#380—611no—
1069#380C2×D6111yescharacteristic, complemented
1070#380C2×D6111yescharacteristic, complemented
1071#379—611no—
1072#379—611no—
1073#379—611no—
1074#379—611no—
1075#379C2×D6111yescharacteristic
1076C4×C22⋊C4—611no—
1077C2×#95—611no—
1078C2×#95—611no—
1079C61#3677611yescharacteristic, complemented, Sylow
1080C25—611no—
1081C25—611no—
1082C25C22×D6111yescharacteristic
1083C22×Q8C22×D6111yescharacteristic
1084C22×D4—611no—
1085C22×D4—611no—
1086C22×D4—611no—
1087C22×D4—611no—
1088C22×D4—611no—
1089C22×D4—611no—
1090C22×D4—611no—
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—611no—
1095C22×D4—611no—
1096C22×D4—611no—
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—611no—
1100C22×D4—611no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—1224no—
1104C22×D4—1224no—
1105C22×D4—2442no—
1106C22×D4—2442no—
1107C22×D4—2442no—
1108C22×D4—2442no—
1109C23×C4—611no—
1110C23×C4—611no—
1111C23×C4—611no—
1112C23×C4—611no—
1113C23×C4—611no—
1114C23×C4—611no—
1115C23×C4—611no—
1116C23×C4—611no—
1117C23×C4—611no—
1118C23×C4—2442no—
1119C23×C4—2442no—
1120C23×C4—2442no—
1121C23×C4C22×D6111yescharacteristic
1122C23×C4C22×D6111yescharacteristic
1123C23×C4C22×D6111yescharacteristic
1124C23×C4C22×D6111yescharacteristic
1125#124—2442no—
1126#123—2442no—
1127#123—2442no—
1128C22⋊Q8—42no—
1129C22⋊Q8—42no—
1130#121—2442no—
1131#121—2442no—
1132#121—2442no—
1133#121—2442no—
1134#121—2442no—
1135#121—2442no—
1136#121—2442no—
1137#120—1224no—
1138#120—2442no—
1139#120—2442no—
1140#120—2442no—
1141#120—2442no—
1142#120—2442no—
1143#120—2442no—
1144C4×D4—2442no—
1145C2×C4⋊C4—611no—
1146C2×C4⋊C4—611no—
1147C2×C4⋊C4—611no—
1148C2×C4⋊C4—611no—
1149C2×C4⋊C4—611no—
1150C2×C4⋊C4—611no—
1151C2×C4⋊C4—611no—
1152C2×C4⋊C4C22×D6111yescharacteristic
1153C2×C4⋊C4C22×D6111yescharacteristic
1154C2×C4⋊C4C22×D6111yescharacteristic
1155C2×C4⋊C4C22×D6111yescharacteristic
1156C2×C4⋊C4C22×D6111yescharacteristic
1157C2×C4⋊C4C22×D6111yescharacteristic
1158C2×C4⋊C4C22×D6111yescharacteristic
1159C2×C4⋊C4C22×D6111yescharacteristic
1160C2×C4⋊C4C22×D6111yescharacteristic
1161C2×C22⋊C4—42no—
1162C2×C22⋊C4—42no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—2442no—
1210C2×C22⋊C4—2442no—
1211C2×C22⋊C4C22×D6111yescharacteristic
1212C2×C22⋊C4C22×D6111yescharacteristic
1213C2×C22⋊C4C22×D6111yescharacteristic
1214C2×C22⋊C4C22×D6111yescharacteristic
1215C2×C22⋊C4C22×D6111yescharacteristic
1216C2×C22⋊C4C22×D6111yescharacteristic
1217C2×C22⋊C4C22×D6111yescharacteristic
1218C2×C22⋊C4C22×D6111yescharacteristic
1219C2×C22⋊C4C22×D6111yescharacteristic
1220C2×C22⋊C4C22×D6111yescharacteristic
1221C2×C22⋊C4C22×D6111yescharacteristic
1222C2×C22⋊C4C22×D6111yescharacteristic
1223C2×C22⋊C4C22×D6111yescharacteristic
1224C2×C22⋊C4C22×D6111yescharacteristic
1225C2×C42—611no—
1226C2×C42—611no—
1227C2×C42—611no—
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#95—611no—
1234#95—611no—
1235#95—611no—
1236#95—611no—
1237#95—611no—
1238#95—611no—
1239#95—611no—
1240#95—611no—
1241#95—611no—
1242#95—611no—
1243#95—611no—
1244#95—611no—
1245#95—611no—
1246#95—611no—
1247#95—611no—
1248#95—611no—
1249#95—611no—
1250#95—611no—
1251#95—611no—
1252#95—611no—
1253#95—611no—
1254#95—611no—
1255#95—611no—
1256#95—611no—
1257#95—611no—
1258#95—611no—
1259#95—611no—
1260#95—611no—
1261#95—611no—
1262#95C22×D6111yescharacteristic
1263#95C22×D6111yescharacteristic
1264#95C22×D6111yescharacteristic
1265#95C22×D6111yescharacteristic
1266#95C22×D6111yescharacteristic
1267#95C22×D6111yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—611no—
1275C24—611no—
1276C24—611no—
1277C24—611no—
1278C24—611no—
1279C24—1222no—
1280C24—1222no—
1281C24—1222no—
1282C24—1222no—
1283C24—1222no—
1284C24—1222no—
1285C24—2441no—
1286C24—2441no—
1287C24—2441no—
1288C24—2441no—
1289C24—2441no—
1290C24—2441no—
1291C24—2441no—
1292C24—2441no—
1293C24#1175822614yes—
1294C24C23×D6111yescharacteristic
1295C24C23×D6111yescharacteristic
1296C24C23×D6111yescharacteristic
1297C2×Q8—41no—
1298C2×Q8—41no—
1299C2×Q8—41no—
1300C2×D4—1222no—
1301C2×D4—1222no—
1302C2×D4—1222no—
1303C2×D4—1222no—
1304C2×D4—1222no—
1305C2×D4—1222no—
1306C2×D4—1222no—
1307C2×D4—1222no—
1308C2×D4—1222no—
1309C2×D4—1222no—
1310C2×D4—1222no—
1311C2×D4—1222no—
1312C2×D4—1222no—
1313C2×D4—1222no—
1314C2×D4—1222no—
1315C2×D4—1222no—
1316C2×D4—1222no—
1317C2×D4—1222no—
1318C2×D4—1222no—
1319C2×D4—1222no—
1320C2×D4—1222no—
1321C2×D4—1222no—
1322C2×D4—1222no—
1323C2×D4—1222no—
1324C2×D4—1222no—
1325C2×D4—1222no—
1326C2×D4—1222no—
1327C2×D4—1222no—
1328C2×D4—2441no—
1329C2×D4—2441no—
1330C2×D4—2441no—
1331C2×D4—2441no—
1332C2×D4—2441no—
1333C2×D4—2441no—
1334C2×D4—2441no—
1335C2×D4—2441no—
1336C2×D4—2441no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4—2441no—
1340C2×D4—2441no—
1341C2×D4—2441no—
1342C2×D4—2441no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—2441no—
1348C2×D4—2441no—
1349C2×D4—2441no—
1350C2×D4—2441no—
1351C2×D4—2441no—
1352C2×D4—2441no—
1353C2×D4—2441no—
1354C2×D4—2441no—
1355C2×D4—2441no—
1356C2×D4—2441no—
1357C2×D4—24416no—
1358C2×D4—24416no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—611no—
1376C22×C4—611no—
1377C22×C4—611no—
1378C22×C4—611no—
1379C22×C4—611no—
1380C22×C4—611no—
1381C22×C4—611no—
1382C22×C4—1222no—
1383C22×C4—1222no—
1384C22×C4—1222no—
1385C22×C4—1222no—
1386C22×C4—1222no—
1387C22×C4—1222no—
1388C22×C4—1222no—
1389C22×C4—1222no—
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—24416no—
1402C22×C4—2441no—
1403C22×C4—2441no—
1404C22×C4—2441no—
1405C22×C4—2441no—
1406C22×C4—2441no—
1407C22×C4—2441no—
1408C22×C4—2441no—
1409C22×C4—2441no—
1410C22×C4C23×D6111yescharacteristic
1411C22×C4C23×D6111yescharacteristic
1412C22×C4C23×D6111yescharacteristic
1413C22×C4C23×D6111yescharacteristic
1414C22×C4C23×D6111yescharacteristic
1415C22×C4C23×D6111yescharacteristic
1416C22×C4C23×D6111yescharacteristic
1417C22×C4C23×D6111yescharacteristic
1418C22×C4C23×D6111yescharacteristic
1419C22×C4C23×D6111yescharacteristic
1420C22×C4C23×D6111yescharacteristic
1421C22×C4C23×D6111yescharacteristic
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—41no—
1431C4⋊C4—2441no—
1432C4⋊C4—2441no—
1433C4⋊C4—2441no—
1434C4⋊C4—2441no—
1435C4⋊C4—2441no—
1436C4⋊C4—2441no—
1437C4⋊C4—2441no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—1222no—
1453C22⋊C4—1222no—
1454C22⋊C4—1222no—
1455C22⋊C4—1222no—
1456C22⋊C4—1222no—
1457C22⋊C4—1222no—
1458C22⋊C4—1222no—
1459C22⋊C4—1222no—
1460C22⋊C4—2441no—
1461C22⋊C4—2441no—
1462C22⋊C4—2441no—
1463C22⋊C4—2441no—
1464C22⋊C4—2441no—
1465C22⋊C4—2441no—
1466C22⋊C4—2441no—
1467C22⋊C4—2441no—
1468C22⋊C4—2441no—
1469C22⋊C4—2441no—
1470C22⋊C4—2441no—
1471C22⋊C4—2441no—
1472C22⋊C4—2441no—
1473C22⋊C4—2441no—
1474C22⋊C4—2441no—
1475C22⋊C4—2441no—
1476C22⋊C4—2441no—
1477C22⋊C4—2441no—
1478C22⋊C4—2441no—
1479C22⋊C4—2441no—
1480C22⋊C4—2441no—
1481C22⋊C4—2441no—
1482C22⋊C4—2441no—
1483C22⋊C4—2441no—
1484C22⋊C4—2441no—
1485C22⋊C4—2441no—
1486C22⋊C4—2441no—
1487C22⋊C4—2441no—
1488C22⋊C4—2441no—
1489C22⋊C4—2441no—
1490C22⋊C4—2441no—
1491C22⋊C4—2441no—
1492C22⋊C4—2441no—
1493C22⋊C4—2441no—
1494C22⋊C4—2441no—
1495C22⋊C4—2441no—
1496C22⋊C4—2441no—
1497C22⋊C4—2441no—
1498C42—2441no—
1499C42—2441no—
1500C42—2441no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—28no—
1518C23—44no—
1519C23—44no—
1520C23—82no—
1521C23—82no—
1522C23—82no—
1523C23—82no—
1524C23—612no—
1525C23—612no—
1526C23—1228no—
1527C23—1221no—
1528C23—1221no—
1529C23—1221no—
1530C23—1221no—
1531C23—1221no—
1532C23—1221no—
1533C23—1221no—
1534C23—1221no—
1535C23—1221no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—1221no—
1543C23—1221no—
1544C23—1221no—
1545C23—1221no—
1546C23—1221no—
1547C23—1221no—
1548C23—1221no—
1549C23—1221no—
1550C23—1221no—
1551C23—1221no—
1552C23—1221no—
1553C23—1221no—
1554C23—1221no—
1555C23—1221no—
1556C23—1221no—
1557C23—1221no—
1558C23—1221no—
1559C23—1221no—
1560C23—4882no—
1561C23—4882no—
1562C23—4882no—
1563C23—4882no—
1564C23—4882no—
1565C23—4882no—
1566C23—2444no—
1567C23—2444no—
1568C23—2444no—
1569C23—2444no—
1570C23—2444no—
1571C23—2444no—
1572C23—2444no—
1573C23C2×#1175822612yes—
1574C23C2×#1175822612yes—
1575C23C2×#1175822612yes—
1576C23#1451982212yes—
1577C23#1451982312yes—
1578C23C24×D6111yescharacteristic
1579Q8—82no—
1580D4—4882no—
1581D4—4882no—
1582D4—4882no—
1583D4—4882no—
1584D4—4882no—
1585D4—4882no—
1586D4—4882no—
1587D4—4882no—
1588D4—4882no—
1589D4—4882no—
1590D4—2444no—
1591D4—2444no—
1592D4—2444no—
1593D4—2444no—
1594D4—2444no—
1595D4—2444no—
1596D4—2444no—
1597D4—2444no—
1598D4—2444no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—44no—
1635C2×C4—82no—
1636C2×C4—82no—
1637C2×C4—82no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—1221no—
1671C2×C4—4882no—
1672C2×C4—4882no—
1673C2×C4—2444no—
1674C2×C4—2444no—
1675C2×C4—2444no—
1676C2×C4—2444no—
1677C2×C4—2444no—
1678C2×C4—2444no—
1679C2×C4—2444no—
1680C2×C4#1451982212yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—88no—
1702C22—1222no—
1703C22—1222no—
1704C22—1222no—
1705C22—1222no—
1706C22—1222no—
1707C22—1222no—
1708C22—4888no—
1709C22—24416no—
1710C22—2441no—
1711C22—2441no—
1712C22—2441no—
1713C22—2441no—
1714C22—2441no—
1715C22—2441no—
1716C22—2441no—
1717C22—2441no—
1718C22—2441no—
1719C22—2441no—
1720C22—2441no—
1721C22—2441no—
1722C22—2441no—
1723C22—2441no—
1724C22—2441no—
1725C22—2441no—
1726C22—2441no—
1727C22—2441no—
1728C22—2441no—
1729C22—2441no—
1730C22—2441no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22—2441no—
1738C22—2441no—
1739C22#1684035214yes—
1740C22C22×#1175822611yescharacteristic
1741C22H(5,𝔽2)×D6111yescharacteristic
1742C22H(5,𝔽2)×D6111yescharacteristic
1743C22C2×#1451982211yescharacteristic
1744C22C2×#1451982211yescharacteristic
1745C22C2×#1451982311yescharacteristic
1746C22#1684059811yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—2441no—
1760C4—2441no—
1761C4—2441no—
1762C4—2441no—
1763C4—2441no—
1764C4—2441no—
1765C4—2441no—
1766C4—2441no—
1767C4—2441no—
1768C4—2441no—
1769C4—2441no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—4881no—
1774C2—4881no—
1775C2—4881no—
1776C2—2442no—
1777C2—2442no—
1778C2C2×#1684035211yescharacteristic
1779C2#2145950911yescharacteristic
1780C2#2145966011yescharacteristic
1781C2#2145996811yescharacteristic
1782C2#2146000411yescharacteristic
1783C2#2146001211yescharacteristic
1784C2#2146005011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2437C2
hypercenter#2437D61
hypocenterC61#36776
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. #21454114C2semidirect
2. #21454102C2semidirect
3. #21453433C2semidirect
4. #21453431C2semidirect
5. #21453194C2semidirect
6. #21453063C2semidirect
7. #21453048C2semidirect
8. #21453043C2semidirect
9. #21452965C2semidirect
10. #21452462C2semidirect
11. #21452377C2semidirect
12. #21452363C2semidirect
13. #21452258C2semidirect
14. #21452258C2semidirect
15. #21452202C2semidirect
16. #21452149C2semidirect
17. #21452116C2semidirect
18. #21452028C2semidirect
19. #21451775C2semidirect
20. #21451753C2semidirect
21. #21450375C2semidirect
22. #21449952C2semidirect
23. #21449573C2semidirect
24. #21449353C2semidirect
25. #21449187C2semidirect
26. #21449187C2semidirect
27. #21449132C2semidirect
28. #21448474C2semidirect
29. #21448394C2semidirect
30. C2×#16839638C2semidirect
31. C61×#2437C2semidirect
34. C23×C4×D61C22semidirect
35. C2×#14519766C22semidirect
36. C2×#14519762C22semidirect
37. C2×#14519762C22semidirect
38. C2×#14519752C22semidirect
39. C2×#14519752C22semidirect
40. C2×#14519752C22semidirect
43. C2×#14519751C22semidirect
44. C2×#14519751C22semidirect
49. C2×#14519747C22semidirect
50. C2×#14519747C22semidirect
52. C2×#14519737C22semidirect
54. C22×#11758198C22semidirect
55. C61⋊#401C22semidirect
56. C61⋊#401C22semidirect
57. #16839704C22semidirect
58. #16839704C22semidirect
59. #16839701C22semidirect
60. #16839701C22semidirect
61. #16839701C22semidirect
62. #16839701C22semidirect
63. #16839700C22semidirect
64. #16839691C22semidirect
65. #16839691C22semidirect
66. #16839689C22semidirect
67. #16839689C22semidirect
68. #16839688C22semidirect
69. #16839688C22semidirect
70. #16839688C22semidirect
71. #16839688C22semidirect
72. #16839688C22semidirect
73. #16839688C22semidirect
74. #16839684C22semidirect
75. #16839684C22semidirect
76. #16839680C22semidirect
77. #16839679C22semidirect
78. #16839679C22semidirect
79. #16839679C22semidirect
80. #16839679C22semidirect
81. #16839679C22semidirect
82. #16839679C22semidirect
85. #16839678C22semidirect
86. #16839678C22semidirect
87. #16839673C22semidirect
88. #16839673C22semidirect
89. #16839673C22semidirect
90. #16839672C22semidirect
97. #16839671C22semidirect
98. #16839671C22semidirect
99. #16839663C22semidirect
100. #16839663C22semidirect
101. #16839662C22semidirect
102. #16839662C22semidirect
103. #16839656C22semidirect
104. #16839656C22semidirect
105. #16839654C22semidirect
106. #16839654C22semidirect
107. #16839652C22semidirect
108. #16839652C22semidirect
109. #16839652C22semidirect
110. #16839652C22semidirect
111. #16839650C22semidirect
112. #16839650C22semidirect
113. #16839648C22semidirect
114. #16839648C22semidirect
117. #16839641C22semidirect
118. #16839641C22semidirect
119. #16839641C22semidirect
120. #16839641C22semidirect
121. #16839641C22semidirect
122. #16839641C22semidirect
123. #16839640C22semidirect
124. #16839640C22semidirect
125. #16839640C22semidirect
126. #16839640C22semidirect
127. #16839640C22semidirect
128. #16839640C22semidirect
129. #16839640C22semidirect
130. #16839640C22semidirect
139. #16839639C22semidirect
140. #16839639C22semidirect
141. #16839639C22semidirect
146. #16839638C22semidirect
147. #16839638C22semidirect
148. #16839638C22semidirect
149. #16839638C22semidirect
150. #16839638C22semidirect
151. #16839638C22semidirect
152. #16839637C22semidirect
153. #16839637C22semidirect
154. #16839634C22semidirect
155. #16839633C22semidirect
156. #16839633C22semidirect
157. #16839629C22semidirect
158. #16839624C22semidirect
159. #16839624C22semidirect
160. #16839624C22semidirect
161. #16839623C22semidirect
162. #16839623C22semidirect
163. #16839619C22semidirect
164. #16839619C22semidirect
165. #16839617C22semidirect
166. #16839617C22semidirect
167. #16839617C22semidirect
168. #16839617C22semidirect
169. C22⋊C4×Dic61C22semidirect
170. C2×#14519684C22semidirect
171. C2×#14519684C22semidirect
172. C2×C22⋊Q8×C61C22semidirect
173. C2×C22⋊Q8×C61C22semidirect
176. C61×#399C22semidirect
177. C61×#396C22semidirect
178. C61×#396C22semidirect
179. C61×#393C22semidirect
180. C61×#385C22semidirect
181. C61×#385C22semidirect
182. C61×#385C22semidirect
183. C61×#385C22semidirect
184. C61×#380C22semidirect
185. C61×#380C22semidirect
901. #2437D61semidirect
930. C2×C22⋊Q8C2×D61semidirect
931. C2×C22⋊Q8C2×D61semidirect
960. #399C2×D61semidirect
973. #396C2×D61semidirect
974. #396C2×D61semidirect
989. #393C2×D61semidirect
1057. #385C2×D61semidirect
1058. #385C2×D61semidirect
1059. #385C2×D61semidirect
1060. #385C2×D61semidirect
1069. #380C2×D61semidirect
1070. #380C2×D61semidirect
1079. C61#36776semidirect

Maximal subgroups

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

subgroupindex
#214541142
#214541022
#214534332
#214534312
#214531942
#214530632
#214530482
#214530432
#214529652
#214524622
#214523772
#214523632
#214522582
#214522022
#214521492
#214521162
#214520282
#214517752
#214517532
#214503752
#214499522
#214495732
#214493532
#214491872
#214491322
#214484742
#214483942
C2×#168396382
C61×#24372
#3677661