Finite Group Databasebeta

← #29888348

Subgroups — #29888348

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#21454111C211yesmaximal, characteristic, complemented
2#21454101C211yesmaximal, characteristic, complemented
3#21453438C211yesmaximal, characteristic, complemented
4#21453437C211yesmaximal, characteristic, complemented
5#21453195C211yesmaximal, characteristic, complemented
6#21453051C211yesmaximal, characteristic, complemented
7#21453042C211yesmaximal, characteristic, complemented
8#21453036C211yesmaximal, characteristic, complemented
9#21452962C211yesmaximal, characteristic, complemented
10#21452463C211yesmaximal, characteristic, complemented
11#21452383C211yesmaximal, characteristic, complemented
12#21452373C211yesmaximal, characteristic, complemented
13#21452259C211yesmaximal, characteristic, complemented
14#21452252C211yesmaximal, characteristic, complemented
15#21452196C211yesmaximal, characteristic, complemented
16#21452145C211yesmaximal, characteristic, complemented
17#21452121C211yesmaximal, characteristic, complemented
18#21452024C211yesmaximal, characteristic, complemented
19#21451772C211yesmaximal, characteristic, complemented
20#21451747C211yesmaximal, characteristic, complemented
21#21450379C211yesmaximal, characteristic, complemented
22#21449939C211yesmaximal, characteristic, complemented
23#21449569C211yesmaximal, characteristic, complemented
24#21449480C211yesmaximal, characteristic, complemented
25#21449355C211yesmaximal, characteristic, complemented
26#21449193C211yesmaximal, characteristic, complemented
27#21449187C211yesmaximal, characteristic, complemented
28#21449129C211yesmaximal, characteristic, complemented
29#21448477C211yesmaximal, characteristic, complemented
30#21448394C211yesmaximal, characteristic, complemented
31C2×C61×#386C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C2×#14519763C2211yescharacteristic, complemented
34C2×#14519760C2211yescharacteristic, complemented
35C2×#14519760C2211yescharacteristic, complemented
36C2×#14519756C2211yescharacteristic, complemented
37C2×#14519754C2211yescharacteristic, complemented
38C2×#14519751C2211yescharacteristic
39C2×#14519751C2211yescharacteristic
40C2×#14519751C2211yescharacteristic, complemented
41C2×#14519751C2211yescharacteristic, complemented
42C2×#14519750C2211yescharacteristic, complemented
43C2×#14519749C2211yescharacteristic, complemented
44C2×#14519749C2211yescharacteristic, complemented
45C2×#14519747C2211yescharacteristic, complemented
46C2×#14519746C2211yescharacteristic
47C2×#14519746C2211yescharacteristic
48C2×#14519746C2211yescharacteristic
49C2×#14519746C2211yescharacteristic, complemented
50C2×#14519745C2211yescharacteristic
51C2×#14519745C2211yescharacteristic
52C2×C4×C22⋊D61C2211yescharacteristic, complemented
53C22×C22⋊Dic61C2211yescharacteristic
54C61⋊#401C2211yescharacteristic, complemented
55C61⋊#401C2211yescharacteristic, complemented
56#16839704C2211yescharacteristic, complemented
57#16839704C2211yescharacteristic, complemented
58#16839703C2211yescharacteristic, complemented
59#16839703C2211yescharacteristic, complemented
60#16839703C2211yescharacteristic, complemented
61#16839702C2211yescharacteristic, complemented
62#16839702C2211yescharacteristic, complemented
63#16839698C2211yescharacteristic, complemented
64#16839691C2211yescharacteristic, complemented
65#16839691C2211yescharacteristic, complemented
66#16839691C2211yescharacteristic, complemented
67#16839691C2211yescharacteristic, complemented
68#16839691C2211yescharacteristic, complemented
69#16839691C2211yescharacteristic, complemented
70#16839690C2211yescharacteristic, complemented
71#16839689C2211yescharacteristic, complemented
72#16839689C2211yescharacteristic, complemented
73#16839689C2211yescharacteristic, complemented
74#16839686C2211yescharacteristic, complemented
75#16839685C2211yescharacteristic, complemented
76#16839685C2211yescharacteristic, complemented
77#16839685C2211yescharacteristic, complemented
78#16839680C2211yescharacteristic, complemented
79#16839680C2211yescharacteristic, complemented
80#16839680C2211yescharacteristic, complemented
81#16839678C2211yescharacteristic, complemented
82#16839678C2211yescharacteristic, complemented
83#16839678C2211yescharacteristic, complemented
84#16839677C2211yescharacteristic, complemented
85#16839677C2211yescharacteristic, complemented
86#16839677C2211yescharacteristic, complemented
87#16839676C2211yescharacteristic
88#16839676C2211yescharacteristic
89#16839675C2211yescharacteristic, complemented
90#16839675C2211yescharacteristic, complemented
91#16839674C2211yescharacteristic, complemented
92#16839674C2211yescharacteristic, complemented
93#16839671C2211yescharacteristic, complemented
94#16839671C2211yescharacteristic, complemented
95#16839671C2211yescharacteristic, complemented
96#16839670C2211yescharacteristic
97#16839670C2211yescharacteristic
98#16839670C2211yescharacteristic
99#16839670C2211yescharacteristic
100#16839670C2211yescharacteristic
101#16839670C2211yescharacteristic
102#16839662C2211yescharacteristic, complemented
103#16839662C2211yescharacteristic, complemented
104#16839662C2211yescharacteristic, complemented
105#16839662C2211yescharacteristic, complemented
106#16839656C2211yescharacteristic, complemented
107#16839656C2211yescharacteristic, complemented
108#16839655C2211yescharacteristic, complemented
109#16839655C2211yescharacteristic, complemented
110#16839654C2211yescharacteristic, complemented
111#16839651C2211yescharacteristic, complemented
112#16839651C2211yescharacteristic, complemented
113#16839650C2211yescharacteristic, complemented
114#16839650C2211yescharacteristic, complemented
115#16839650C2211yescharacteristic, complemented
116#16839649C2211yescharacteristic, complemented
117#16839645C2211yescharacteristic, complemented
118#16839642C2211yescharacteristic
119#16839642C2211yescharacteristic
120#16839642C2211yescharacteristic, complemented
121#16839642C2211yescharacteristic, complemented
122#16839641C2211yescharacteristic
123#16839641C2211yescharacteristic
124#16839641C2211yescharacteristic
125#16839641C2211yescharacteristic
126#16839641C2211yescharacteristic
127#16839641C2211yescharacteristic
128#16839641C2211yescharacteristic
129#16839641C2211yescharacteristic
130#16839641C2211yescharacteristic, complemented
131#16839641C2211yescharacteristic, complemented
132#16839641C2211yescharacteristic, complemented
133#16839641C2211yescharacteristic, complemented
134#16839641C2211yescharacteristic, complemented
135#16839641C2211yescharacteristic, complemented
136#16839641C2211yescharacteristic, complemented
137#16839641C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839639C2211yescharacteristic, complemented
140#16839639C2211yescharacteristic, complemented
141#16839639C2211yescharacteristic, complemented
142#16839639C2211yescharacteristic, complemented
143#16839639C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839638C2211yescharacteristic, complemented
147#16839637C2211yescharacteristic, complemented
148#16839637C2211yescharacteristic, complemented
149#16839635C2211yescharacteristic, complemented
150#16839635C2211yescharacteristic, complemented
151#16839635C2211yescharacteristic, complemented
152#16839635C2211yescharacteristic, complemented
153#16839635C2211yescharacteristic, complemented
154#16839635C2211yescharacteristic, complemented
155#16839634C2211yescharacteristic, complemented
156#16839629C2211yescharacteristic, complemented
157#16839625C2211yescharacteristic, complemented
158#16839625C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic, complemented
160#16839623C2211yescharacteristic, complemented
161#16839623C2211yescharacteristic, complemented
162#16839622C2211yescharacteristic, complemented
163#16839622C2211yescharacteristic, complemented
164#16839622C2211yescharacteristic, complemented
165#16839620C2211yescharacteristic, complemented
166#16839618C2211yescharacteristic
167#16839618C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic, complemented
171C4×C22⋊Dic61C2211yescharacteristic, complemented
172C23×D4×C61C2211yescharacteristic
173C24×C4×C61C2211yescharacteristic, complemented
174C22×C22⋊C4×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C22×C22⋊C4×C61C2211yescharacteristic, complemented
177C61×#386C2211yescharacteristic
178C61×#386C2211yescharacteristic
179C61×#386C2211yescharacteristic
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic, complemented
185C2×#95×C61C2211yescharacteristic, complemented
186C2×#95×C61C2211yescharacteristic, complemented
187C24×D61C2311yescharacteristic
188C22×Dic122C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×C22⋊D61—24no—
192C22×C22⋊D61—42no—
193C22×C22⋊D61—42no—
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211#14519763—42no—
212#14519760—42no—
213#14519760—42no—
214#14519756—42no—
215#14519754—42no—
216#14519751—42no—
217#14519751—42no—
218#14519751—42no—
219#14519751—42no—
220#14519750—42no—
221#14519749—42no—
222#14519749—42no—
223#14519747—42no—
224#14519746—24no—
225#14519746—42no—
226#14519746—42no—
227#14519746—42no—
228#14519745—42no—
229#14519745—42no—
230C4×C22⋊D61—42no—
231C2×C4⋊Dic61C2311yescharacteristic
232C2×C4⋊Dic61C2311yescharacteristic
233C2×C4⋊Dic61C2311yescharacteristic
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×C22⋊Dic61—42no—
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
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×C4×Dic61C2311yescharacteristic
297C2×C4×Dic61C2311yescharacteristic
298C2×C4×Dic61C2311yescharacteristic
299#14519684C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331C25×C61C2311yescharacteristic
332C25×C61C2311yescharacteristic
333C22×D4×C61—24no—
334C22×D4×C61—42no—
335C22×D4×C61—42no—
336C22×D4×C61C2311yescharacteristic
337C22×D4×C61C2311yescharacteristic
338C22×D4×C61C2311yescharacteristic
339C22×D4×C61C2311yescharacteristic
340C23×C4×C61—42no—
341C23×C4×C61—42no—
342C23×C4×C61—42no—
343C23×C4×C61C2311yescharacteristic
344C23×C4×C61C2311yescharacteristic
345C23×C4×C61C2311yescharacteristic
346C23×C4×C61C2311yescharacteristic
347C23×C4×C61C2311yescharacteristic
348C23×C4×C61C2311yescharacteristic
349C23×C4×C61C2311yescharacteristic
350C23×C4×C61C2311yescharacteristic
351C23×C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61—42no—
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
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×C61—22no—
376C24×C61—22no—
377C24×C61—22no—
378C24×C61—22no—
379C24×C61—22no—
380C24×C61—22no—
381C24×C61—22no—
382C24×C61—41no—
383C24×C61—41no—
384C24×C61—41no—
385C24×C61—41no—
386C24×C61—41no—
387C24×C61—41no—
388C24×C61#4114yes—
389C24×C61C2411yescharacteristic
390C24×C61C2411yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C23×D61—22no—
395C23×D61—41no—
396C23×D61—41no—
397C23×D61—41no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C2×D4×C61—22no—
405C2×D4×C61—22no—
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—22no—
411C2×D4×C61—22no—
412C2×D4×C61—41no—
413C2×D4×C61—41no—
414C2×D4×C61—41no—
415C2×D4×C61—41no—
416C2×D4×C61—416no—
417C22×C4×C61—22no—
418C22×C4×C61—22no—
419C22×C4×C61—22no—
420C22×C4×C61—22no—
421C22×C4×C61—22no—
422C22×C4×C61—22no—
423C22×C4×C61—22no—
424C22×C4×C61—22no—
425C22×C4×C61—22no—
426C22×C4×C61—22no—
427C22×C4×C61—41no—
428C22×C4×C61—41no—
429C22×C4×C61—41no—
430C22×C4×C61—41no—
431C22×C4×C61—41no—
432C22×C4×C61—41no—
433C22×C4×C61—41no—
434C22×C4×C61—41no—
435C22×C4×C61—41no—
436C22×C4×C61—41no—
437C22×C4×C61—41no—
438C22×C4×C61—41no—
439C22×C4×C61—41no—
440C22×C4×C61—41no—
441C22×C4×C61—41no—
442C22×C4×C61—41no—
443C22×C4×C61—41no—
444C22×C4×C61—416no—
445C22×C4×C61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C2×C22⋊D61—22no—
456C2×C22⋊D61—22no—
457C2×C22⋊D61—22no—
458C2×C22⋊D61—22no—
459C2×C22⋊D61—22no—
460C2×C22⋊D61—22no—
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—22no—
465C2×C22⋊D61—22no—
466C2×C22⋊D61—22no—
467C2×C22⋊D61—22no—
468C2×C22⋊D61—22no—
469C2×C22⋊D61—22no—
470C2×C22⋊D61—22no—
471C2×C22⋊D61—22no—
472C2×C22⋊D61—22no—
473C2×C22⋊D61—22no—
474C2×C22⋊D61—41no—
475C2×C22⋊D61—41no—
476C2×C22⋊D61—41no—
477C2×C22⋊D61—41no—
478C2×C22⋊D61—41no—
479C2×C22⋊D61—41no—
480C2×C22⋊D61—41no—
481C2×C22⋊D61—41no—
482C2×C22⋊D61—41no—
483C2×C22⋊D61—41no—
484C2×C22⋊D61—41no—
485C2×C22⋊D61—41no—
486C2×C22⋊D61—41no—
487C2×C22⋊D61—41no—
488C2×C22⋊D61—41no—
489C2×C22⋊D61—41no—
490C2×C22⋊D61—41no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61—41no—
494C2×C22⋊D61—416no—
495C22×Dic61—22no—
496C22×Dic61—41no—
497C22×Dic61—41no—
498C22×Dic61—41no—
499C22×Dic61—41no—
500C22×Dic61—41no—
501C22×Dic61—41no—
502C22×Dic61—41no—
503C22×Dic61—41no—
504C22×Dic61C2411yescharacteristic
505C22×Dic61C2411yescharacteristic
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C22×Dic61C2411yescharacteristic
516C22×Dic61C2411yescharacteristic
517C2×D244—22no—
518C2×D244—41no—
519C2×D244—41no—
520C2×D244—41no—
521C2×D244—41no—
522C2×D244—41no—
523C2×C4×D61—41no—
524C2×C4×D61—41no—
525C2×C4×D61—41no—
526C2×Dic122—41no—
527C2×Dic122—41no—
528C2×Dic122—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—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊Dic61—22no—
542C22⋊Dic61—22no—
543C22⋊Dic61—22no—
544C22⋊Dic61—22no—
545C22⋊Dic61—22no—
546C22⋊Dic61—22no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—22no—
550C22⋊Dic61—41no—
551C22⋊Dic61—41no—
552C22⋊Dic61—41no—
553C22⋊Dic61—41no—
554C22⋊Dic61—41no—
555C22⋊Dic61—41no—
556C22⋊Dic61—41no—
557C22⋊Dic61—41no—
558C22⋊Dic61—41no—
559C22⋊Dic61—41no—
560C22⋊Dic61—41no—
561C22⋊Dic61—41no—
562C22⋊Dic61—41no—
563C22⋊Dic61—41no—
564#11758198—22no—
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—
593C4⋊Dic61—41no—
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—
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—28no—
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×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—28no—
638C23×C61—44no—
639C23×C61—44no—
640C23×C61—44no—
641C23×C61—44no—
642C23×C61—44no—
643C23×C61—44no—
644C23×C61—44no—
645C23×C61—44no—
646C23×C61—82no—
647C23×C61—82no—
648C23×C61—82no—
649C23×C61—82no—
650C23×C61C2×#4112yes—
651C23×C61C2×#4112yes—
652C23×C61C2×#4112yes—
653C23×C61H(5,𝔽2)12yes—
654C23×C61H(5,𝔽2)12yes—
655C23×C61H(5,𝔽2)12yes—
656C23×C61H(5,𝔽2)12yes—
657C23×C61C2511yescharacteristic
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—21no—
672C22×D61—21no—
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—44no—
680C22×D61—82no—
681C22×D61—82no—
682C22×D61—82no—
683C22×D61—82no—
684C22×D61—82no—
685C22×D61—82no—
686D4×C61—44no—
687D4×C61—44no—
688D4×C61—44no—
689D4×C61—44no—
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—44no—
720C2×C4×C61—44no—
721C2×C4×C61—44no—
722C2×C4×C61—44no—
723C2×C4×C61—44no—
724C2×C4×C61—44no—
725C2×C4×C61—44no—
726C2×C4×C61—82no—
727C2×C4×C61—82no—
728C2×C4×C61H(5,𝔽2)12yes—
729C22⋊D61—44no—
730C22⋊D61—44no—
731C22⋊D61—44no—
732C22⋊D61—44no—
733C22⋊D61—44no—
734C22⋊D61—82no—
735C22⋊D61—82no—
736C22⋊D61—82no—
737C22⋊D61—82no—
738C22⋊D61—82no—
739C22⋊D61—82no—
740C22⋊D61—82no—
741C22⋊D61—82no—
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—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—44no—
782C2×Dic61—82no—
783C2×Dic61—82no—
784D244—82no—
785D244—82no—
786C4×D61—82no—
787Dic122—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—22no—
802C22×C61—22no—
803C22×C61—22no—
804C22×C61—22no—
805C22×C61—22no—
806C22×C61—22no—
807C22×C61—416no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—88no—
825C22×C61#53814yes—
826C22×C61C22×#4111yescharacteristic
827C22×C61C2×H(5,𝔽2)11yescharacteristic
828C22×C61C2×H(5,𝔽2)11yescharacteristic
829C22×C61C2×H(5,𝔽2)11yescharacteristic
830C22×C61C2×H(5,𝔽2)11yescharacteristic
831C22×C61C2×H(5,𝔽2)11yescharacteristic
832C22×C61#58511yescharacteristic
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—
865Dic61—41no—
866Dic61—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#2437—611no—
902#2424—611no—
903#2410—611no—
904#2410—611no—
905#2403—611no—
906#2321—611no—
907#2308—611no—
908C2×#386D6111yescharacteristic, complemented
909C2×C61—24no—
910C2×C61—42no—
911C2×C61—42no—
912C2×C61—42no—
913C2×C61—42no—
914C2×C61C2×#53811yescharacteristic
915C2×C61#349011yescharacteristic
916C2×C61#350511yescharacteristic
917C2×C61#353211yescharacteristic
918C2×C61#353411yescharacteristic
919C2×C61#353411yescharacteristic
920C2×C61#353711yescharacteristic
921D61—81no—
922D61—81no—
923D61—81no—
924C23×D4—611no—
925C23×D4C2×D6111yescharacteristic
926C24×C4C2×D6111yescharacteristic, complemented
927C2×#124—611no—
928C2×#123—611no—
929C2×#123—611no—
930C2×C22⋊Q8—611no—
931C2×C22⋊Q8—611no—
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⋊C4C2×D6111yescharacteristic
949C22×C22⋊C4C2×D6111yescharacteristic
950C22×C22⋊C4C2×D6111yescharacteristic, complemented
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#399—611no—
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#396—611no—
974#396—611no—
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#393—611no—
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#386C2×D6111yescharacteristic
1045#386C2×D6111yescharacteristic
1046#386C2×D6111yescharacteristic
1047#386C2×D6111yescharacteristic
1048#386C2×D6111yescharacteristic, complemented
1049#386C2×D6111yescharacteristic, complemented
1050#386C2×D6111yescharacteristic, complemented
1051#386C2×D6111yescharacteristic, complemented
1052#385—611no—
1053#385—611no—
1054#385—611no—
1055#385—611no—
1056#385—611no—
1057#385—611no—
1058#385—611no—
1059#385—611no—
1060#385—611no—
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#380—611no—
1070#380—611no—
1071#379—611no—
1072#379—611no—
1073#379—611no—
1074#379—611no—
1075#379—611no—
1076C4×C22⋊C4—611no—
1077C2×#95C2×D6111yescharacteristic, complemented
1078C2×#95C2×D6111yescharacteristic, complemented
1079C61#3677611yescharacteristic, complemented, Sylow
1080C25—611no—
1081C25C22×D6111yescharacteristic
1082C25C22×D6111yescharacteristic
1083C22×Q8—611no—
1084C22×D4—24no—
1085C22×D4—42no—
1086C22×D4—42no—
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—1224no—
1103C22×D4—2442no—
1104C22×D4—2442no—
1105C22×D4C22×D6111yescharacteristic
1106C22×D4C22×D6111yescharacteristic
1107C22×D4C22×D6111yescharacteristic
1108C22×D4C22×D6111yescharacteristic
1109C23×C4—42no—
1110C23×C4—42no—
1111C23×C4—42no—
1112C23×C4—611no—
1113C23×C4—611no—
1114C23×C4—611no—
1115C23×C4—611no—
1116C23×C4C22×D6111yescharacteristic
1117C23×C4C22×D6111yescharacteristic
1118C23×C4C22×D6111yescharacteristic
1119C23×C4C22×D6111yescharacteristic
1120C23×C4C22×D6111yescharacteristic
1121C23×C4C22×D6111yescharacteristic
1122C23×C4C22×D6111yescharacteristic
1123C23×C4C22×D6111yescharacteristic
1124C23×C4C22×D6111yescharacteristic
1125#124—2442no—
1126#123—2442no—
1127#123—2442no—
1128C22⋊Q8—2442no—
1129C22⋊Q8—2442no—
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⋊C4—611no—
1153C2×C4⋊C4—611no—
1154C2×C4⋊C4—611no—
1155C2×C4⋊C4—611no—
1156C2×C4⋊C4—611no—
1157C2×C4⋊C4—611no—
1158C2×C4⋊C4—611no—
1159C2×C4⋊C4—611no—
1160C2×C4⋊C4—611no—
1161C2×C22⋊C4—42no—
1162C2×C22⋊C4—42no—
1163C2×C22⋊C4—42no—
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—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—2442no—
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#95C22×D6111yescharacteristic
1261#95C22×D6111yescharacteristic
1262#95C22×D6111yescharacteristic
1263#95C22×D6111yescharacteristic
1264#95C22×D6111yescharacteristic
1265#95C22×D6111yescharacteristic
1266#95C22×D6111yescharacteristic
1267#95C22×D6111yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—611no—
1282C24—611no—
1283C24—611no—
1284C24—1222no—
1285C24—2441no—
1286C24—2441no—
1287C24—2441no—
1288C24—2441no—
1289C24—2441no—
1290C24—2441no—
1291C24#1175822214yes—
1292C24C23×D6111yescharacteristic
1293C24C23×D6111yescharacteristic
1294C24C23×D6111yescharacteristic
1295C24C23×D6111yescharacteristic
1296C24C23×D6111yescharacteristic
1297C2×Q8—2441no—
1298C2×Q8—2441no—
1299C2×Q8—2441no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—416no—
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—1222no—
1329C2×D4—1222no—
1330C2×D4—1222no—
1331C2×D4—1222no—
1332C2×D4—1222no—
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—2441no—
1358C2×D4—24416no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—416no—
1387C22×C4—611no—
1388C22×C4—611no—
1389C22×C4—611no—
1390C22×C4—611no—
1391C22×C4—611no—
1392C22×C4—611no—
1393C22×C4—611no—
1394C22×C4—611no—
1395C22×C4—611no—
1396C22×C4—611no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—1222no—
1401C22×C4—2441no—
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×C4—2441no—
1411C22×C4—2441no—
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—1222no—
1423C4⋊C4—1222no—
1424C4⋊C4—2441no—
1425C4⋊C4—2441no—
1426C4⋊C4—2441no—
1427C4⋊C4—2441no—
1428C4⋊C4—2441no—
1429C4⋊C4—2441no—
1430C4⋊C4—2441no—
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—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—1222no—
1451C22⋊C4—1222no—
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—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—28no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—44no—
1539C23—82no—
1540C23—82no—
1541C23—82no—
1542C23—82no—
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—1221no—
1561C23—1221no—
1562C23—1221no—
1563C23—1221no—
1564C23—4882no—
1565C23—4882no—
1566C23—4882no—
1567C23—4882no—
1568C23—4882no—
1569C23—4882no—
1570C23—2444no—
1571C23C2×#1175822212yes—
1572C23C2×#1175822212yes—
1573C23C2×#1175822212yes—
1574C23#1451982212yes—
1575C23#1451982212yes—
1576C23#1451982212yes—
1577C23#1451982312yes—
1578C23C24×D6111yescharacteristic
1579Q8—4882no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—4882no—
1585D4—4882no—
1586D4—4882no—
1587D4—4882no—
1588D4—4882no—
1589D4—4882no—
1590D4—4882no—
1591D4—4882no—
1592D4—4882no—
1593D4—4882no—
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—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—82no—
1636C2×C4—82no—
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—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—1221no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—4882no—
1677C2×C4—4882no—
1678C2×C4—4882no—
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—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—416no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—88no—
1717C22—4888no—
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#1684034514yes—
1740C22C22×#1175822211yescharacteristic
1741C22C2×#1451982211yescharacteristic
1742C22C2×#1451982211yescharacteristic
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—2441no—
1758C4—2441no—
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—42no—
1774C2—42no—
1775C2—4881no—
1776C2—4881no—
1777C2—4881no—
1778C2C2×#1684034511yescharacteristic
1779C2#2145950811yescharacteristic
1780C2#2145965811yescharacteristic
1781C2#2145997411yescharacteristic
1782C2#2146000911yescharacteristic
1783C2#2146001311yescharacteristic
1784C2#2146005411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC2×C61×#386C2
hypercenterC2×#386D61
hypocenterC61#36776
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #21454111C2semidirect
2. #21454101C2semidirect
3. #21453438C2semidirect
4. #21453437C2semidirect
5. #21453195C2semidirect
6. #21453051C2semidirect
7. #21453042C2semidirect
8. #21453036C2semidirect
9. #21452962C2semidirect
10. #21452463C2semidirect
11. #21452383C2semidirect
12. #21452373C2semidirect
13. #21452259C2semidirect
14. #21452252C2semidirect
15. #21452196C2semidirect
16. #21452145C2semidirect
17. #21452121C2semidirect
18. #21452024C2semidirect
19. #21451772C2semidirect
20. #21451747C2semidirect
21. #21450379C2semidirect
22. #21449939C2semidirect
23. #21449569C2semidirect
24. #21449480C2semidirect
25. #21449355C2semidirect
26. #21449193C2semidirect
27. #21449187C2semidirect
28. #21449129C2semidirect
29. #21448477C2semidirect
30. #21448394C2semidirect
31. C2×C61×#386C2semidirect
33. C2×#14519763C22semidirect
34. C2×#14519760C22semidirect
35. C2×#14519760C22semidirect
36. C2×#14519756C22semidirect
37. C2×#14519754C22semidirect
40. C2×#14519751C22semidirect
41. C2×#14519751C22semidirect
42. C2×#14519750C22semidirect
43. C2×#14519749C22semidirect
44. C2×#14519749C22semidirect
45. C2×#14519747C22semidirect
49. C2×#14519746C22semidirect
52. C2×C4×C22⋊D61C22semidirect
54. C61⋊#401C22semidirect
55. C61⋊#401C22semidirect
56. #16839704C22semidirect
57. #16839704C22semidirect
58. #16839703C22semidirect
59. #16839703C22semidirect
60. #16839703C22semidirect
61. #16839702C22semidirect
62. #16839702C22semidirect
63. #16839698C22semidirect
64. #16839691C22semidirect
65. #16839691C22semidirect
66. #16839691C22semidirect
67. #16839691C22semidirect
68. #16839691C22semidirect
69. #16839691C22semidirect
70. #16839690C22semidirect
71. #16839689C22semidirect
72. #16839689C22semidirect
73. #16839689C22semidirect
74. #16839686C22semidirect
75. #16839685C22semidirect
76. #16839685C22semidirect
77. #16839685C22semidirect
78. #16839680C22semidirect
79. #16839680C22semidirect
80. #16839680C22semidirect
81. #16839678C22semidirect
82. #16839678C22semidirect
83. #16839678C22semidirect
84. #16839677C22semidirect
85. #16839677C22semidirect
86. #16839677C22semidirect
89. #16839675C22semidirect
90. #16839675C22semidirect
91. #16839674C22semidirect
92. #16839674C22semidirect
93. #16839671C22semidirect
94. #16839671C22semidirect
95. #16839671C22semidirect
102. #16839662C22semidirect
103. #16839662C22semidirect
104. #16839662C22semidirect
105. #16839662C22semidirect
106. #16839656C22semidirect
107. #16839656C22semidirect
108. #16839655C22semidirect
109. #16839655C22semidirect
110. #16839654C22semidirect
111. #16839651C22semidirect
112. #16839651C22semidirect
113. #16839650C22semidirect
114. #16839650C22semidirect
115. #16839650C22semidirect
116. #16839649C22semidirect
117. #16839645C22semidirect
120. #16839642C22semidirect
121. #16839642C22semidirect
130. #16839641C22semidirect
131. #16839641C22semidirect
132. #16839641C22semidirect
133. #16839641C22semidirect
134. #16839641C22semidirect
135. #16839641C22semidirect
136. #16839641C22semidirect
137. #16839641C22semidirect
138. #16839640C22semidirect
139. #16839639C22semidirect
140. #16839639C22semidirect
141. #16839639C22semidirect
142. #16839639C22semidirect
143. #16839639C22semidirect
144. #16839638C22semidirect
145. #16839638C22semidirect
146. #16839638C22semidirect
147. #16839637C22semidirect
148. #16839637C22semidirect
149. #16839635C22semidirect
150. #16839635C22semidirect
151. #16839635C22semidirect
152. #16839635C22semidirect
153. #16839635C22semidirect
154. #16839635C22semidirect
155. #16839634C22semidirect
156. #16839629C22semidirect
157. #16839625C22semidirect
158. #16839625C22semidirect
159. #16839624C22semidirect
160. #16839623C22semidirect
161. #16839623C22semidirect
162. #16839622C22semidirect
163. #16839622C22semidirect
164. #16839622C22semidirect
165. #16839620C22semidirect
167. #16839618C22semidirect
168. #16839617C22semidirect
169. #16839617C22semidirect
170. #16839617C22semidirect
171. C4×C22⋊Dic61C22semidirect
173. C24×C4×C61C22semidirect
176. C22×C22⋊C4×C61C22semidirect
181. C61×#386C22semidirect
182. C61×#386C22semidirect
183. C61×#386C22semidirect
184. C61×#386C22semidirect
185. C2×#95×C61C22semidirect
186. C2×#95×C61C22semidirect
908. C2×#386D61semidirect
926. C24×C4C2×D61semidirect
950. C22×C22⋊C4C2×D61semidirect
1048. #386C2×D61semidirect
1049. #386C2×D61semidirect
1050. #386C2×D61semidirect
1051. #386C2×D61semidirect
1077. C2×#95C2×D61semidirect
1078. C2×#95C2×D61semidirect
1079. C61#36776semidirect

Maximal subgroups

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

subgroupindex
#214541112
#214541012
#214534382
#214534372
#214531952
#214530512
#214530422
#214530362
#214529622
#214524632
#214523832
#214523732
#214522592
#214522522
#214521962
#214521452
#214521212
#214520242
#214517722
#214517472
#214503792
#214499392
#214495692
#214494802
#214493552
#214491932
#214491872
#214491292
#214484772
#214483942
C2×C61×#3862
#3677661