Finite Group Databasebeta

← #29888910

Subgroups — #29888910

Order 15616.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454110C211yesmaximal, characteristic, complemented
2#21454100C211yesmaximal, characteristic, complemented
3#21453671C211yesmaximal, characteristic, complemented
4#21453538C211yesmaximal, characteristic, complemented
5#21453139C211yesmaximal, characteristic, complemented
6#21453094C211yesmaximal, characteristic, complemented
7#21453082C211yesmaximal, characteristic, complemented
8#21453043C211yesmaximal, characteristic, complemented
9#21452920C211yesmaximal, characteristic, complemented
10#21452550C211yesmaximal, characteristic, complemented
11#21452547C211yesmaximal, characteristic, complemented
12#21452508C211yesmaximal, characteristic, complemented
13#21452457C211yesmaximal, characteristic, complemented
14#21452403C211yesmaximal, characteristic, complemented
15#21452258C211yesmaximal, characteristic, complemented
16#21452089C211yesmaximal, characteristic, complemented
17#21452082C211yesmaximal, characteristic, complemented
18#21452059C211yesmaximal, characteristic, complemented
19#21451596C211yesmaximal, characteristic, complemented
20#21451559C211yesmaximal, characteristic, complemented
21#21451044C211yesmaximal, characteristic, complemented
22#21450781C211yesmaximal, characteristic, complemented
23#21449457C211yesmaximal, characteristic, complemented
24#21449349C211yesmaximal, characteristic, complemented
25#21449349C211yesmaximal, characteristic, complemented
26#21449275C211yesmaximal, characteristic, complemented
27#21449275C211yesmaximal, characteristic, complemented
28#21449176C211yesmaximal, characteristic, complemented
29#21448453C211yesmaximal, characteristic, complemented
30C2×#16839640C211yesmaximal, characteristic, complemented
31C61×#2325C211yesmaximal, characteristic, complemented
32C23×D244C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C2×#14519773C2211yescharacteristic
35C2×#14519773C2211yescharacteristic
36C2×#14519760C2211yescharacteristic, complemented
37C2×#14519760C2211yescharacteristic, complemented
38C2×#14519759C2211yescharacteristic, complemented
39C2×#14519759C2211yescharacteristic, complemented
40C2×#14519752C2211yescharacteristic
41C2×#14519752C2211yescharacteristic
42C2×#14519751C2211yescharacteristic, complemented
43C2×#14519751C2211yescharacteristic, complemented
44C2×#14519750C2211yescharacteristic, complemented
45C2×#14519750C2211yescharacteristic, complemented
46C2×#14519749C2211yescharacteristic
47C2×#14519749C2211yescharacteristic
48C2×#14519747C2211yescharacteristic
49C2×#14519747C2211yescharacteristic
50C2×#14519745C2211yescharacteristic
51C2×#14519745C2211yescharacteristic
52C2×#14519745C2211yescharacteristic
53C2×#14519745C2211yescharacteristic
54C2×C4×C22⋊D61C2211yescharacteristic
55C22×#11758198C2211yescharacteristic
56C22×#11758198C2211yescharacteristic
57C22×#11758198C2211yescharacteristic
58#16839701C2211yescharacteristic, complemented
59#16839701C2211yescharacteristic, complemented
60#16839697C2211yescharacteristic, complemented
61#16839697C2211yescharacteristic, complemented
62#16839695C2211yescharacteristic, complemented
63#16839695C2211yescharacteristic, complemented
64#16839693C2211yescharacteristic, complemented
65#16839691C2211yescharacteristic, complemented
66#16839691C2211yescharacteristic, complemented
67#16839691C2211yescharacteristic, complemented
68#16839691C2211yescharacteristic, complemented
69#16839689C2211yescharacteristic, complemented
70#16839689C2211yescharacteristic, complemented
71#16839688C2211yescharacteristic, complemented
72#16839688C2211yescharacteristic, complemented
73#16839688C2211yescharacteristic, complemented
74#16839684C2211yescharacteristic, complemented
75#16839684C2211yescharacteristic, complemented
76#16839680C2211yescharacteristic
77#16839680C2211yescharacteristic
78#16839680C2211yescharacteristic, complemented
79#16839680C2211yescharacteristic, complemented
80#16839679C2211yescharacteristic, complemented
81#16839679C2211yescharacteristic, complemented
82#16839678C2211yescharacteristic, complemented
83#16839678C2211yescharacteristic, complemented
84#16839678C2211yescharacteristic, complemented
85#16839678C2211yescharacteristic, complemented
86#16839677C2211yescharacteristic, complemented
87#16839677C2211yescharacteristic, complemented
88#16839677C2211yescharacteristic, complemented
89#16839677C2211yescharacteristic, complemented
90#16839677C2211yescharacteristic, complemented
91#16839677C2211yescharacteristic, complemented
92#16839677C2211yescharacteristic, complemented
93#16839677C2211yescharacteristic, complemented
94#16839676C2211yescharacteristic, complemented
95#16839672C2211yescharacteristic
96#16839672C2211yescharacteristic
97#16839671C2211yescharacteristic
98#16839671C2211yescharacteristic
99#16839671C2211yescharacteristic
100#16839671C2211yescharacteristic
101#16839671C2211yescharacteristic, complemented
102#16839671C2211yescharacteristic, complemented
103#16839671C2211yescharacteristic, complemented
104#16839671C2211yescharacteristic, complemented
105#16839670C2211yescharacteristic, complemented
106#16839664C2211yescharacteristic, complemented
107#16839664C2211yescharacteristic, complemented
108#16839663C2211yescharacteristic
109#16839663C2211yescharacteristic
110#16839663C2211yescharacteristic
111#16839663C2211yescharacteristic
112#16839653C2211yescharacteristic, complemented
113#16839653C2211yescharacteristic, complemented
114#16839653C2211yescharacteristic, complemented
115#16839653C2211yescharacteristic, complemented
116#16839653C2211yescharacteristic, complemented
117#16839653C2211yescharacteristic, complemented
118#16839651C2211yescharacteristic, complemented
119#16839651C2211yescharacteristic, complemented
120#16839650C2211yescharacteristic, complemented
121#16839650C2211yescharacteristic, complemented
122#16839649C2211yescharacteristic, complemented
123#16839649C2211yescharacteristic, complemented
124#16839645C2211yescharacteristic, complemented
125#16839645C2211yescharacteristic, complemented
126#16839644C2211yescharacteristic, complemented
127#16839644C2211yescharacteristic, complemented
128#16839642C2211yescharacteristic
129#16839642C2211yescharacteristic
130#16839641C2211yescharacteristic
131#16839641C2211yescharacteristic
132#16839641C2211yescharacteristic, complemented
133#16839641C2211yescharacteristic, complemented
134#16839641C2211yescharacteristic, complemented
135#16839641C2211yescharacteristic, complemented
136#16839640C2211yescharacteristic
137#16839640C2211yescharacteristic
138#16839640C2211yescharacteristic
139#16839640C2211yescharacteristic
140#16839640C2211yescharacteristic
141#16839640C2211yescharacteristic
142#16839640C2211yescharacteristic
143#16839640C2211yescharacteristic
144#16839640C2211yescharacteristic, complemented
145#16839640C2211yescharacteristic, complemented
146#16839638C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic, complemented
149#16839638C2211yescharacteristic, complemented
150#16839638C2211yescharacteristic, complemented
151#16839638C2211yescharacteristic, complemented
152#16839637C2211yescharacteristic
153#16839637C2211yescharacteristic
154#16839636C2211yescharacteristic, complemented
155#16839636C2211yescharacteristic, complemented
156#16839635C2211yescharacteristic
157#16839635C2211yescharacteristic
158#16839629C2211yescharacteristic, complemented
159#16839626C2211yescharacteristic, complemented
160#16839624C2211yescharacteristic, complemented
161#16839624C2211yescharacteristic, complemented
162#16839624C2211yescharacteristic, complemented
163#16839621C2211yescharacteristic, complemented
164#16839621C2211yescharacteristic, complemented
165#16839621C2211yescharacteristic, complemented
166#16839620C2211yescharacteristic
167#16839620C2211yescharacteristic
168#16839617C2211yescharacteristic
169#16839617C2211yescharacteristic
170C4×C22⋊Dic61C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C2×#121×C61C2211yescharacteristic
173C2×C4×D4×C61C2211yescharacteristic
174C2×C4×D4×C61C2211yescharacteristic
175C61×#388C2211yescharacteristic, complemented
176C61×#388C2211yescharacteristic, complemented
177C61×#387C2211yescharacteristic, complemented
178C61×#387C2211yescharacteristic, complemented
179C61×#386C2211yescharacteristic
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic, complemented
183C61×#385C2211yescharacteristic, complemented
184C61×#385C2211yescharacteristic, complemented
185C61×#380C2211yescharacteristic
186C2×#95×C61C2211yescharacteristic
187C24×D61C2311yescharacteristic
188C24×D61C2311yescharacteristic
189C22×D244—24no—
190C22×D244—42no—
191C22×D244—42no—
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C22×C4×D61—42no—
214C22×C4×D61—42no—
215C22×C4×D61—42no—
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221#14519773—42no—
222#14519773—42no—
223#14519760—42no—
224#14519760—42no—
225#14519759—42no—
226#14519759—42no—
227#14519752—42no—
228#14519752—42no—
229#14519751—42no—
230#14519751—42no—
231#14519750—42no—
232#14519750—42no—
233#14519749—42no—
234#14519749—42no—
235#14519747—42no—
236#14519747—42no—
237#14519745—42no—
238#14519745—42no—
239#14519745—42no—
240#14519745—42no—
241C4×C22⋊D61—24no—
242C2×C4⋊Dic61C2311yescharacteristic
243C2×C4⋊Dic61C2311yescharacteristic
244C2×C4⋊Dic61C2311yescharacteristic
245C2×C4⋊Dic61C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×#11758198—42no—
267C2×#11758198—42no—
268C2×#11758198—42no—
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×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×C4×Dic61C2311yescharacteristic
309C2×C4×Dic61C2311yescharacteristic
310C2×C4×Dic61C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337C22×D4×C61C2311yescharacteristic
338C22×D4×C61C2311yescharacteristic
339C22×D4×C61C2311yescharacteristic
340C23×C4×C61C2311yescharacteristic
341C23×C4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344C23×C4×C61C2311yescharacteristic
345#121×C61—24no—
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×C61C2311yescharacteristic
364C2×C42×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375C24×C61C2411yescharacteristic
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C23×D61—22no—
379C23×D61—22no—
380C23×D61—22no—
381C23×D61—22no—
382C23×D61—22no—
383C23×D61—22no—
384C23×D61—22no—
385C23×D61—22no—
386C23×D61—41no—
387C23×D61—41no—
388C23×D61—41no—
389C23×D61—41no—
390C23×D61—41no—
391C23×D61—41no—
392C23×D61C2411yescharacteristic
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C2×D4×C61—22no—
398C2×D4×C61—22no—
399C2×D4×C61—22no—
400C2×D4×C61—22no—
401C2×D4×C61—22no—
402C2×D4×C61—22no—
403C2×D4×C61—22no—
404C2×D4×C61—41no—
405C2×D4×C61—41no—
406C22×C4×C61—22no—
407C22×C4×C61—22no—
408C22×C4×C61—41no—
409C22×C4×C61—41no—
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×C61—41no—
420C22×C4×C61#4114yes—
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
432C22×C4×C61C2411yescharacteristic
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—41no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61—41no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
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—41no—
465C2×C22⋊D61—41no—
466C22×Dic61—22no—
467C22×Dic61—22no—
468C22×Dic61—22no—
469C22×Dic61—41no—
470C22×Dic61—41no—
471C22×Dic61—41no—
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C2×D244—22no—
484C2×D244—22no—
485C2×D244—22no—
486C2×D244—22no—
487C2×D244—22no—
488C2×D244—22no—
489C2×D244—22no—
490C2×D244—22no—
491C2×D244—22no—
492C2×D244—22no—
493C2×D244—41no—
494C2×D244—41no—
495C2×D244—41no—
496C2×D244—41no—
497C2×D244—416no—
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×C4×D61—22no—
509C2×C4×D61—22no—
510C2×C4×D61—22no—
511C2×C4×D61—22no—
512C2×C4×D61—22no—
513C2×C4×D61—41no—
514C2×C4×D61—41no—
515C2×C4×D61—41no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—416no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C4⋊C4×C61—22no—
525C4⋊C4×C61—41no—
526C4⋊C4×C61—41no—
527C4⋊C4×C61—41no—
528C4⋊C4×C61—41no—
529C22⋊C4×C61—22no—
530C22⋊C4×C61—22no—
531C22⋊C4×C61—22no—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—41no—
534C22⋊C4×C61—41no—
535C22⋊C4×C61—41no—
536C22⋊C4×C61—41no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C42×C61—41no—
540C42×C61—41no—
541C22⋊Dic61—22no—
542C22⋊Dic61—22no—
543C22⋊Dic61—22no—
544C22⋊Dic61—22no—
545C22⋊Dic61—41no—
546C22⋊Dic61—41no—
547C22⋊Dic61—41no—
548C22⋊Dic61—41no—
549C22⋊Dic61—41no—
550#11758198—22no—
551#11758198—22no—
552#11758198—22no—
553#11758198—22no—
554#11758198—22no—
555#11758198—22no—
556#11758198—22no—
557#11758198—41no—
558#11758198—41no—
559#11758198—41no—
560#11758198—41no—
561#11758198—41no—
562#11758198—41no—
563#11758198—41no—
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—
589C4⋊Dic61—22no—
590C4⋊Dic61—41no—
591C4⋊Dic61—41no—
592C4⋊Dic61—41no—
593#11758196—22no—
594#11758196—22no—
595#11758196—41no—
596#11758196—41no—
597#11758196—41no—
598#11758196—41no—
599#11758196—41no—
600#11758196—41no—
601#11758196—41no—
602#11758196—41no—
603#11758196—41no—
604C4×Dic61—22no—
605C4×Dic61—41no—
606C4×Dic61—41no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61C2×#4112yes—
626C23×C61H(5,𝔽2)12yes—
627C23×C61H(5,𝔽2)12yes—
628C23×C61C2511yescharacteristic
629C22×D61—28no—
630C22×D61—21no—
631C22×D61—21no—
632C22×D61—21no—
633C22×D61—21no—
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
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—44no—
664C22×D61—44no—
665C22×D61—44no—
666C22×D61—44no—
667C22×D61—44no—
668C22×D61—44no—
669C22×D61—44no—
670C22×D61—44no—
671C22×D61—44no—
672C22×D61—82no—
673C22×D61—82no—
674C22×D61—82no—
675C22×D61—82no—
676C22×D61H(5,𝔽2)12yes—
677C22×D61H(5,𝔽2)12yes—
678D4×C61—44no—
679D4×C61—44no—
680D4×C61—82no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
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—44no—
716C2×C4×C61—44no—
717C2×C4×C61—82no—
718C2×C4×C61—82no—
719C2×C4×C61—82no—
720C2×C4×C61C2×#4112yes—
721C2×C4×C61C2×#4112yes—
722C22⋊D61—44no—
723C22⋊D61—82no—
724C22⋊D61—82no—
725C22⋊D61—82no—
726C22⋊D61—82no—
727C22⋊D61—82no—
728C22⋊D61—82no—
729C22⋊D61—82no—
730C22⋊D61—82no—
731C22⋊D61—82no—
732C22⋊D61—82no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
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—44no—
766C2×Dic61—82no—
767C2×Dic61H(5,𝔽2)12yes—
768D244—44no—
769D244—44no—
770D244—44no—
771D244—44no—
772D244—82no—
773D244—82no—
774D244—82no—
775D244—82no—
776C4×D61—44no—
777C4×D61—44no—
778C4×D61—44no—
779C4×D61—44no—
780C4×D61—82no—
781#36794—611nomaximal, Sylow
782C22×C61—22no—
783C22×C61—22no—
784C22×C61—22no—
785C22×C61—22no—
786C22×C61—22no—
787C22×C61—22no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61#54014yes—
803C22×C61C22×#4111yescharacteristic
804C22×C61C2×H(5,𝔽2)11yescharacteristic
805C22×C61C2×H(5,𝔽2)11yescharacteristic
806C22×C61C2×H(5,𝔽2)11yescharacteristic
807C22×C61C2×H(5,𝔽2)11yescharacteristic
808C22×C61C2×H(5,𝔽2)11yescharacteristic
809C22×C61#58511yescharacteristic
810C2×D61—22no—
811C2×D61—22no—
812C2×D61—22no—
813C2×D61—22no—
814C2×D61—22no—
815C2×D61—22no—
816C2×D61—416no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61—41no—
824C2×D61—41no—
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—88no—
847C4×C61—22no—
848C4×C61—22no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855C4×C61—41no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859Dic61—22no—
860Dic61—41no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870#2849—611no—
871#2847—611no—
872#2797—611no—
873#2786—611no—
874#2756—611no—
875#2753—611no—
876#2752—611no—
877#2749—611no—
878#2740—611no—
879#2709—611no—
880#2709—611no—
881#2706—611no—
882#2703—611no—
883#2699—611no—
884#2688—611no—
885#2673—611no—
886#2673—611no—
887#2671—611no—
888#2622—611no—
889#2617—611no—
890#2569—611no—
891#2543—611no—
892#2433—611no—
893#2424—611no—
894#2424—611no—
895#2418—611no—
896#2418—611no—
897#2408—611no—
898#2325D6111yescharacteristic, complemented
899#2318—611no—
900C2×#386—611no—
901C2×C61—24no—
902C2×C61—81no—
903C2×C61—81no—
904C2×C61C2×#54011yescharacteristic
905C2×C61#349011yescharacteristic
906C2×C61#350611yescharacteristic
907C2×C61#353211yescharacteristic
908C2×C61#353411yescharacteristic
909C2×C61#353411yescharacteristic
910C2×C61#353711yescharacteristic
911D61—42no—
912D61—42no—
913D61—81no—
914D61—81no—
915D61—81no—
916C23×D4—611no—
917C24×C4—611no—
918C2×#127—611no—
919C2×#127—611no—
920C2×#123—611no—
921C2×#123—611no—
922C2×#123—611no—
923C2×#123—611no—
924C2×#121—611no—
925C2×#121—611no—
926C2×#121—611no—
927C2×#121—611no—
928C2×#121—611no—
929C2×#121—611no—
930C2×#121—611no—
931C2×#121—611no—
932C2×#121C2×D6111yescharacteristic
933C2×#120—611no—
934C2×#120—611no—
935C2×#120—611no—
936C2×#120—611no—
937C2×#120—611no—
938C2×#120—611no—
939C2×C4×D4—611no—
940C2×C4×D4C2×D6111yescharacteristic
941C2×C4×D4C2×D6111yescharacteristic
942C22×C22⋊C4—611no—
943C22×C22⋊C4—611no—
944C22×C22⋊C4—611no—
945#400—611no—
946#400—611no—
947#399—611no—
948#399—611no—
949#398—611no—
950#398—611no—
951#398—611no—
952#397—611no—
953#397—611no—
954#397—611no—
955#397—611no—
956#397—611no—
957#397—611no—
958#397—611no—
959#397—611no—
960#397—611no—
961#396—611no—
962#396—611no—
963#394—611no—
964#394—611no—
965#394—611no—
966#394—611no—
967#394—611no—
968#394—611no—
969#394—611no—
970#394—611no—
971#394—611no—
972#394—611no—
973#394—611no—
974#394—611no—
975#394—611no—
976#394—611no—
977#394—611no—
978#394—611no—
979#394—611no—
980#394—611no—
981#394—611no—
982#392—611no—
983#392—611no—
984#392—611no—
985#392—611no—
986#392—611no—
987#392—611no—
988#392—611no—
989#392—611no—
990#392—611no—
991#392—611no—
992#392—611no—
993#390—611no—
994#390—611no—
995#390—611no—
996#390—611no—
997#390—611no—
998#390—611no—
999#388—611no—
1000#388—611no—
1001#388—611no—
1002#388—611no—
1003#388—611no—
1004#388—611no—
1005#388—611no—
1006#388—611no—
1007#388—611no—
1008#388—611no—
1009#388C2×D6111yescharacteristic, complemented
1010#388C2×D6111yescharacteristic, complemented
1011#387—611no—
1012#387—611no—
1013#387—611no—
1014#387—611no—
1015#387—611no—
1016#387—611no—
1017#387C2×D6111yescharacteristic, complemented
1018#387C2×D6111yescharacteristic, complemented
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#386C2×D6111yescharacteristic
1044#386C2×D6111yescharacteristic
1045#386C2×D6111yescharacteristic, complemented
1046#386C2×D6111yescharacteristic, complemented
1047#385—611no—
1048#385—611no—
1049#385—611no—
1050#385—611no—
1051#385—611no—
1052#385—611no—
1053#385C2×D6111yescharacteristic, complemented
1054#385C2×D6111yescharacteristic, complemented
1055#383—611no—
1056#382—611no—
1057#381—611no—
1058#381—611no—
1059#381—611no—
1060#380—611no—
1061#380—611no—
1062#380—611no—
1063#380—611no—
1064#380—611no—
1065#380C2×D6111yescharacteristic
1066#379—611no—
1067#379—611no—
1068C4×C22⋊C4—611no—
1069C2×#95—611no—
1070C2×#95C2×D6111yescharacteristic
1071C61#3679411yescharacteristic, complemented, Sylow
1072C25—611no—
1073C25—611no—
1074C22×D4—611no—
1075C22×D4—611no—
1076C22×D4—611no—
1077C22×D4—611no—
1078C22×D4—611no—
1079C22×D4—611no—
1080C22×D4—611no—
1081C22×D4—611no—
1082C22×D4—611no—
1083C22×D4—611no—
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—1224no—
1094C22×D4—2442no—
1095C22×D4—2442no—
1096C22×D4C22×D6111yescharacteristic
1097C22×D4C22×D6111yescharacteristic
1098C22×D4C22×D6111yescharacteristic
1099C23×C4—611no—
1100C23×C4—611no—
1101C23×C4—611no—
1102C23×C4—611no—
1103C23×C4—611no—
1104C23×C4—611no—
1105C23×C4—611no—
1106C23×C4—2442no—
1107C23×C4—2442no—
1108C23×C4—2442no—
1109C23×C4C22×D6111yescharacteristic
1110C23×C4C22×D6111yescharacteristic
1111C23×C4C22×D6111yescharacteristic
1112C23×C4C22×D6111yescharacteristic
1113C23×C4C22×D6111yescharacteristic
1114#127—2442no—
1115#127—2442no—
1116#123—2442no—
1117#123—2442no—
1118#123—2442no—
1119#123—2442no—
1120#121—24no—
1121#121—2442no—
1122#121—2442no—
1123#121—2442no—
1124#121—2442no—
1125#121—2442no—
1126#121—2442no—
1127#121—2442no—
1128#121—2442no—
1129#120—2442no—
1130#120—2442no—
1131#120—2442no—
1132#120—2442no—
1133#120—2442no—
1134#120—2442no—
1135C4×D4—42no—
1136C4×D4—42no—
1137C4×D4—1224no—
1138C2×C4⋊C4—611no—
1139C2×C4⋊C4—611no—
1140C2×C4⋊C4—611no—
1141C2×C4⋊C4—611no—
1142C2×C4⋊C4—611no—
1143C2×C4⋊C4—611no—
1144C2×C4⋊C4—611no—
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⋊C4—611no—
1153C2×C4⋊C4C22×D6111yescharacteristic
1154C2×C4⋊C4C22×D6111yescharacteristic
1155C2×C4⋊C4C22×D6111yescharacteristic
1156C2×C4⋊C4C22×D6111yescharacteristic
1157C2×C4⋊C4C22×D6111yescharacteristic
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
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—2442no—
1207C2×C22⋊C4—2442no—
1208C2×C22⋊C4—2442no—
1209C2×C22⋊C4C22×D6111yescharacteristic
1210C2×C22⋊C4C22×D6111yescharacteristic
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×C42—611no—
1220C2×C42—611no—
1221C2×C42—611no—
1222C2×C42C22×D6111yescharacteristic
1223C2×C42C22×D6111yescharacteristic
1224#95—611no—
1225#95—611no—
1226#95—611no—
1227#95—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#95C22×D6111yescharacteristic
1251#95C22×D6111yescharacteristic
1252#95C22×D6111yescharacteristic
1253#95C22×D6111yescharacteristic
1254#95C22×D6111yescharacteristic
1255#95C22×D6111yescharacteristic
1256#95C22×D6111yescharacteristic
1257#95C22×D6111yescharacteristic
1258#95C22×D6111yescharacteristic
1259#95C22×D6111yescharacteristic
1260C24—611no—
1261C24—611no—
1262C24—611no—
1263C24—611no—
1264C24—611no—
1265C24—1222no—
1266C24—1222no—
1267C24—1222no—
1268C24—1222no—
1269C24—1222no—
1270C24—1222no—
1271C24—1222no—
1272C24—1222no—
1273C24—2441no—
1274C24—2441no—
1275C24—2441no—
1276C24—2441no—
1277C24—2441no—
1278C24—2441no—
1279C24C23×D6111yescharacteristic
1280C24C23×D6111yescharacteristic
1281C24C23×D6111yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—1222no—
1292C2×D4—1222no—
1293C2×D4—1222no—
1294C2×D4—1222no—
1295C2×D4—1222no—
1296C2×D4—1222no—
1297C2×D4—1222no—
1298C2×D4—1222no—
1299C2×D4—1222no—
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—2441no—
1310C2×D4—2441no—
1311C2×D4—2441no—
1312C2×D4—2441no—
1313C2×D4—2441no—
1314C2×D4—2441no—
1315C2×D4—2441no—
1316C2×D4—2441no—
1317C2×D4—2441no—
1318C2×D4—2441no—
1319C2×D4—2441no—
1320C2×D4—2441no—
1321C2×D4—2441no—
1322C2×D4—2441no—
1323C2×D4—24416no—
1324C2×D4—2441no—
1325C2×D4—2441no—
1326C2×D4—2441no—
1327C2×D4—2441no—
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—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—611no—
1374C22×C4—1222no—
1375C22×C4—1222no—
1376C22×C4—1222no—
1377C22×C4—1222no—
1378C22×C4—1222no—
1379C22×C4—1222no—
1380C22×C4—1222no—
1381C22×C4—1222no—
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—24416no—
1393C22×C4—2441no—
1394C22×C4—2441no—
1395C22×C4—2441no—
1396C22×C4#1175822214yes—
1397C22×C4C23×D6111yescharacteristic
1398C22×C4C23×D6111yescharacteristic
1399C22×C4C23×D6111yescharacteristic
1400C22×C4C23×D6111yescharacteristic
1401C22×C4C23×D6111yescharacteristic
1402C22×C4C23×D6111yescharacteristic
1403C22×C4C23×D6111yescharacteristic
1404C22×C4C23×D6111yescharacteristic
1405C22×C4C23×D6111yescharacteristic
1406C22×C4C23×D6111yescharacteristic
1407C22×C4C23×D6111yescharacteristic
1408C22×C4C23×D6111yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—1222no—
1415C4⋊C4—1222no—
1416C4⋊C4—1222no—
1417C4⋊C4—2441no—
1418C4⋊C4—2441no—
1419C4⋊C4—2441no—
1420C4⋊C4—2441no—
1421C4⋊C4—2441no—
1422C4⋊C4—2441no—
1423C4⋊C4—2441no—
1424C4⋊C4—2441no—
1425C4⋊C4—2441no—
1426C4⋊C4—2441no—
1427C4⋊C4—2441no—
1428C4⋊C4—2441no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—1222no—
1440C22⋊C4—1222no—
1441C22⋊C4—1222no—
1442C22⋊C4—1222no—
1443C22⋊C4—1222no—
1444C22⋊C4—1222no—
1445C22⋊C4—1222no—
1446C22⋊C4—1222no—
1447C22⋊C4—1222no—
1448C22⋊C4—1222no—
1449C22⋊C4—1222no—
1450C22⋊C4—2441no—
1451C22⋊C4—2441no—
1452C22⋊C4—2441no—
1453C22⋊C4—2441no—
1454C22⋊C4—2441no—
1455C22⋊C4—2441no—
1456C22⋊C4—2441no—
1457C22⋊C4—2441no—
1458C22⋊C4—2441no—
1459C22⋊C4—2441no—
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—
1487C42—41no—
1488C42—41no—
1489C42—1222no—
1490C42—2441no—
1491C42—2441no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—612no—
1511C23—612no—
1512C23—1228no—
1513C23—1221no—
1514C23—1221no—
1515C23—1221no—
1516C23—1221no—
1517C23—1221no—
1518C23—1221no—
1519C23—1221no—
1520C23—1221no—
1521C23—1221no—
1522C23—1221no—
1523C23—1221no—
1524C23—1221no—
1525C23—1221no—
1526C23—1221no—
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—4882no—
1547C23—4882no—
1548C23—4882no—
1549C23—4882no—
1550C23—2444no—
1551C23—2444no—
1552C23—2444no—
1553C23—2444no—
1554C23—2444no—
1555C23—2444no—
1556C23—2444no—
1557C23—2444no—
1558C23—2444no—
1559C23C2×#1175822212yes—
1560C23#1451982212yes—
1561C23#1451982312yes—
1562C23C24×D6111yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—82no—
1566D4—4882no—
1567D4—4882no—
1568D4—4882no—
1569D4—4882no—
1570D4—4882no—
1571D4—4882no—
1572D4—4882no—
1573D4—4882no—
1574D4—4882no—
1575D4—4882no—
1576D4—4882no—
1577D4—4882no—
1578D4—4882no—
1579D4—4882no—
1580D4—2444no—
1581D4—2444no—
1582D4—2444no—
1583D4—2444no—
1584D4—2444no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
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—44no—
1620C2×C4—44no—
1621C2×C4—82no—
1622C2×C4—82no—
1623C2×C4—82no—
1624C2×C4—612no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
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—4882no—
1658C2×C4—4882no—
1659C2×C4—2444no—
1660C2×C4—2444no—
1661C2×C4—2444no—
1662C2×C4—2444no—
1663C2×C4—2444no—
1664C2×C4C2×#1175822212yes—
1665C2×C4C2×#1175822212yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—1222no—
1687C22—1222no—
1688C22—1222no—
1689C22—1222no—
1690C22—1222no—
1691C22—1222no—
1692C22—4888no—
1693C22—24416no—
1694C22—2441no—
1695C22—2441no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22—2441no—
1704C22—2441no—
1705C22—2441no—
1706C22—2441no—
1707C22—2441no—
1708C22—2441no—
1709C22—2441no—
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#1684036314yes—
1724C22C22×#1175822211yescharacteristic
1725C22H(5,𝔽2)×D6111yescharacteristic
1726C22H(5,𝔽2)×D6111yescharacteristic
1727C22H(5,𝔽2)×D6111yescharacteristic
1728C22C2×#1451982211yescharacteristic
1729C22C2×#1451982311yescharacteristic
1730C22#1684059911yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—1222no—
1744C4—2441no—
1745C4—2441no—
1746C4—2441no—
1747C4—2441no—
1748C4—2441no—
1749C4—2441no—
1750C4—2441no—
1751C4—2441no—
1752C4—2441no—
1753C4—2441no—
1754C2—24no—
1755C2—81no—
1756C2—81no—
1757C2—4881no—
1758C2—4881no—
1759C2—4881no—
1760C2—2442no—
1761C2—2442no—
1762C2C2×#1684036311yescharacteristic
1763C2#2145950411yescharacteristic
1764C2#2145966411yescharacteristic
1765C2#2145997011yescharacteristic
1766C2#2145999811yescharacteristic
1767C2#2146000711yescharacteristic
1768C2#2146005611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2325C2
hypercenter#2325D61
hypocenterC61#36794
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2325

Complements

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

NH ≅ G/Ntype
1. #21454110C2semidirect
2. #21454100C2semidirect
3. #21453671C2semidirect
4. #21453538C2semidirect
5. #21453139C2semidirect
6. #21453094C2semidirect
7. #21453082C2semidirect
8. #21453043C2semidirect
9. #21452920C2semidirect
10. #21452550C2semidirect
11. #21452547C2semidirect
12. #21452508C2semidirect
13. #21452457C2semidirect
14. #21452403C2semidirect
15. #21452258C2semidirect
16. #21452089C2semidirect
17. #21452082C2semidirect
18. #21452059C2semidirect
19. #21451596C2semidirect
20. #21451559C2semidirect
21. #21451044C2semidirect
22. #21450781C2semidirect
23. #21449457C2semidirect
24. #21449349C2semidirect
25. #21449349C2semidirect
26. #21449275C2semidirect
27. #21449275C2semidirect
28. #21449176C2semidirect
29. #21448453C2semidirect
30. C2×#16839640C2semidirect
31. C61×#2325C2semidirect
36. C2×#14519760C22semidirect
37. C2×#14519760C22semidirect
38. C2×#14519759C22semidirect
39. C2×#14519759C22semidirect
42. C2×#14519751C22semidirect
43. C2×#14519751C22semidirect
44. C2×#14519750C22semidirect
45. C2×#14519750C22semidirect
58. #16839701C22semidirect
59. #16839701C22semidirect
60. #16839697C22semidirect
61. #16839697C22semidirect
62. #16839695C22semidirect
63. #16839695C22semidirect
64. #16839693C22semidirect
65. #16839691C22semidirect
66. #16839691C22semidirect
67. #16839691C22semidirect
68. #16839691C22semidirect
69. #16839689C22semidirect
70. #16839689C22semidirect
71. #16839688C22semidirect
72. #16839688C22semidirect
73. #16839688C22semidirect
74. #16839684C22semidirect
75. #16839684C22semidirect
78. #16839680C22semidirect
79. #16839680C22semidirect
80. #16839679C22semidirect
81. #16839679C22semidirect
82. #16839678C22semidirect
83. #16839678C22semidirect
84. #16839678C22semidirect
85. #16839678C22semidirect
86. #16839677C22semidirect
87. #16839677C22semidirect
88. #16839677C22semidirect
89. #16839677C22semidirect
90. #16839677C22semidirect
91. #16839677C22semidirect
92. #16839677C22semidirect
93. #16839677C22semidirect
94. #16839676C22semidirect
101. #16839671C22semidirect
102. #16839671C22semidirect
103. #16839671C22semidirect
104. #16839671C22semidirect
105. #16839670C22semidirect
106. #16839664C22semidirect
107. #16839664C22semidirect
112. #16839653C22semidirect
113. #16839653C22semidirect
114. #16839653C22semidirect
115. #16839653C22semidirect
116. #16839653C22semidirect
117. #16839653C22semidirect
118. #16839651C22semidirect
119. #16839651C22semidirect
120. #16839650C22semidirect
121. #16839650C22semidirect
122. #16839649C22semidirect
123. #16839649C22semidirect
124. #16839645C22semidirect
125. #16839645C22semidirect
126. #16839644C22semidirect
127. #16839644C22semidirect
132. #16839641C22semidirect
133. #16839641C22semidirect
134. #16839641C22semidirect
135. #16839641C22semidirect
144. #16839640C22semidirect
145. #16839640C22semidirect
146. #16839638C22semidirect
147. #16839638C22semidirect
148. #16839638C22semidirect
149. #16839638C22semidirect
150. #16839638C22semidirect
151. #16839638C22semidirect
154. #16839636C22semidirect
155. #16839636C22semidirect
158. #16839629C22semidirect
159. #16839626C22semidirect
160. #16839624C22semidirect
161. #16839624C22semidirect
162. #16839624C22semidirect
163. #16839621C22semidirect
164. #16839621C22semidirect
165. #16839621C22semidirect
175. C61×#388C22semidirect
176. C61×#388C22semidirect
177. C61×#387C22semidirect
178. C61×#387C22semidirect
181. C61×#386C22semidirect
182. C61×#386C22semidirect
183. C61×#385C22semidirect
184. C61×#385C22semidirect
898. #2325D61semidirect
1009. #388C2×D61semidirect
1010. #388C2×D61semidirect
1017. #387C2×D61semidirect
1018. #387C2×D61semidirect
1045. #386C2×D61semidirect
1046. #386C2×D61semidirect
1053. #385C2×D61semidirect
1054. #385C2×D61semidirect
1071. C61#36794semidirect

Maximal subgroups

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

subgroupindex
#214541102
#214541002
#214536712
#214535382
#214531392
#214530942
#214530822
#214530432
#214529202
#214525502
#214525472
#214525082
#214524572
#214524032
#214522582
#214520892
#214520822
#214520592
#214515962
#214515592
#214510442
#214507812
#214494572
#214493492
#214492752
#214491762
#214484532
C2×#168396402
C61×#23252
#3679461