Finite Group Databasebeta

← #29887564

Subgroups — #29887564

Order 15616.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840378C211yesmaximal, characteristic, complemented
2C2×#16840346C211yesmaximal, characteristic, complemented
3#21454151C211yesmaximal, characteristic, complemented
4#21454116C211yesmaximal, characteristic, complemented
5#21452738C211yesmaximal, characteristic, complemented
6#21452649C211yesmaximal, characteristic, complemented
7#21452585C211yesmaximal, characteristic, complemented
8#21452420C211yesmaximal, characteristic, complemented
9#21452400C211yesmaximal, characteristic, complemented
10#21452371C211yesmaximal, characteristic, complemented
11#21452294C211yesmaximal, characteristic, complemented
12#21452248C211yesmaximal, characteristic, complemented
13#21452222C211yesmaximal, characteristic, complemented
14#21452217C211yesmaximal, characteristic, complemented
15#21452194C211yesmaximal, characteristic, complemented
16#21452123C211yesmaximal, characteristic, complemented
17#21452107C211yesmaximal, characteristic, complemented
18#21452043C211yesmaximal, characteristic, complemented
19#21452024C211yesmaximal, characteristic, complemented
20#21451968C211yesmaximal, characteristic, complemented
21#21451946C211yesmaximal, characteristic, complemented
22#21451501C211yesmaximal, characteristic, complemented
23#21451454C211yesmaximal, characteristic, complemented
24#21451429C211yesmaximal, characteristic, complemented
25#21451419C211yesmaximal, characteristic, complemented
26#21451306C211yesmaximal, characteristic, complemented
27#21450971C211yesmaximal, characteristic, complemented
28#21449246C211yesmaximal, characteristic, complemented
29#21449199C211yesmaximal, characteristic, complemented
30#21448255C211yesmaximal, characteristic, complemented
31C61×#2715C211yesmaximal, characteristic, complemented
32#16840378—28no—
33#16840346—28no—
34C2×#14519776C2211yescharacteristic, complemented
35C2×#14519772C2211yescharacteristic
36C2×#14519771C2211yescharacteristic
37C2×#14519770C2211yescharacteristic
38C2×#14519766C2211yescharacteristic
39C2×#14519765C2211yescharacteristic
40C2×#14519763C2211yescharacteristic
41C2×#14519763C2211yescharacteristic
42C2×#14519763C2211yescharacteristic, complemented
43C2×#14519762C2211yescharacteristic
44C2×#14519761C2211yescharacteristic
45C2×#14519761C2211yescharacteristic, complemented
46C2×#14519759C2211yescharacteristic
47C2×#14519757C2211yescharacteristic
48C2×#14519757C2211yescharacteristic, complemented
49C2×#14519755C2211yescharacteristic, complemented
50C2×#14519754C2211yescharacteristic, complemented
51C2×#14519753C2211yescharacteristic
52C2×#14519751C2211yescharacteristic
53C2×#14519750C2211yescharacteristic
54C2×#14519750C2211yescharacteristic
55C2×#14519750C2211yescharacteristic
56C2×#14519749C2211yescharacteristic
57C2×#14519747C2211yescharacteristic
58C2×#14519747C2211yescharacteristic
59C2×#14519745C2211yescharacteristic
60C2×C4×Dic122C2211yescharacteristic, complemented
61C2×C4×D244C2211yescharacteristic
62C2×#14519737C2211yescharacteristic
63C2×#14519735C2211yescharacteristic
64C2×#14519735C2211yescharacteristic, complemented
65C2×C22⋊C4×D61C2211yescharacteristic
66C22×C4×Dic61C2211yescharacteristic, complemented
67#16839704C2211yescharacteristic, complemented
68#16839703C2211yescharacteristic, complemented
69#16839698C2211yescharacteristic
70#16839697C2211yescharacteristic
71#16839695C2211yescharacteristic, complemented
72#16839695C2211yescharacteristic, complemented
73#16839691C2211yescharacteristic
74#16839691C2211yescharacteristic, complemented
75#16839691C2211yescharacteristic, complemented
76#16839690C2211yescharacteristic, complemented
77#16839689C2211yescharacteristic
78#16839689C2211yescharacteristic
79#16839688C2211yescharacteristic
80#16839688C2211yescharacteristic
81#16839684C2211yescharacteristic
82#16839684C2211yescharacteristic, complemented
83#16839683C2211yescharacteristic, complemented
84#16839682C2211yescharacteristic, complemented
85#16839680C2211yescharacteristic
86#16839680C2211yescharacteristic
87#16839679C2211yescharacteristic
88#16839679C2211yescharacteristic
89#16839679C2211yescharacteristic
90#16839679C2211yescharacteristic
91#16839678C2211yescharacteristic
92#16839678C2211yescharacteristic
93#16839678C2211yescharacteristic
94#16839678C2211yescharacteristic
95#16839677C2211yescharacteristic
96#16839677C2211yescharacteristic, complemented
97#16839675C2211yescharacteristic
98#16839675C2211yescharacteristic
99#16839675C2211yescharacteristic
100#16839675C2211yescharacteristic, complemented
101#16839674C2211yescharacteristic
102#16839674C2211yescharacteristic
103#16839673C2211yescharacteristic, complemented
104#16839672C2211yescharacteristic
105#16839672C2211yescharacteristic
106#16839671C2211yescharacteristic
107#16839671C2211yescharacteristic, complemented
108#16839670C2211yescharacteristic
109#16839669C2211yescharacteristic, complemented
110#16839668C2211yescharacteristic, complemented
111#16839666C2211yescharacteristic, complemented
112#16839664C2211yescharacteristic
113#16839663C2211yescharacteristic
114#16839663C2211yescharacteristic
115#16839663C2211yescharacteristic
116#16839663C2211yescharacteristic, complemented
117#16839662C2211yescharacteristic
118#16839662C2211yescharacteristic
119#16839661C2211yescharacteristic, complemented
120#16839661C2211yescharacteristic, complemented
121#16839661C2211yescharacteristic, complemented
122#16839659C2211yescharacteristic, complemented
123#16839655C2211yescharacteristic
124#16839655C2211yescharacteristic
125#16839655C2211yescharacteristic
126#16839654C2211yescharacteristic
127#16839654C2211yescharacteristic
128#16839654C2211yescharacteristic
129#16839654C2211yescharacteristic
130#16839654C2211yescharacteristic, complemented
131#16839654C2211yescharacteristic, complemented
132#16839654C2211yescharacteristic, complemented
133#16839654C2211yescharacteristic, complemented
134#16839653C2211yescharacteristic, complemented
135#16839652C2211yescharacteristic
136#16839652C2211yescharacteristic
137#16839652C2211yescharacteristic, complemented
138#16839651C2211yescharacteristic
139#16839651C2211yescharacteristic, complemented
140#16839650C2211yescharacteristic
141#16839650C2211yescharacteristic
142#16839649C2211yescharacteristic, complemented
143#16839647C2211yescharacteristic, complemented
144#16839646C2211yescharacteristic, complemented
145#16839644C2211yescharacteristic, complemented
146#16839643C2211yescharacteristic, complemented
147#16839642C2211yescharacteristic
148#16839641C2211yescharacteristic
149#16839641C2211yescharacteristic, complemented
150#16839640C2211yescharacteristic
151#16839640C2211yescharacteristic
152#16839640C2211yescharacteristic, complemented
153#16839640C2211yescharacteristic, complemented
154#16839639C2211yescharacteristic
155#16839639C2211yescharacteristic
156#16839639C2211yescharacteristic, complemented
157#16839639C2211yescharacteristic, complemented
158#16839638C2211yescharacteristic
159#16839637C2211yescharacteristic, complemented
160#16839633C2211yescharacteristic
161#16839633C2211yescharacteristic, complemented
162#16839633C2211yescharacteristic, complemented
163#16839626C2211yescharacteristic, complemented
164#16839624C2211yescharacteristic
165#16839624C2211yescharacteristic
166#16839619C2211yescharacteristic, complemented
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic
169#16839617C2211yescharacteristic
170C4⋊C4×Dic61C2211yescharacteristic, complemented
171C22⋊C4×Dic61C2211yescharacteristic, complemented
172#16839609C2211yescharacteristic
173#16839607C2211yescharacteristic, complemented
174C2×#126×C61C2211yescharacteristic, complemented
175C2×#124×C61C2211yescharacteristic
176C61×#397C2211yescharacteristic
177C61×#397C2211yescharacteristic, complemented
178C61×#396C2211yescharacteristic
179C61×#396C2211yescharacteristic
180C61×#395C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic
182C61×#391C2211yescharacteristic, complemented
183C61×#389C2211yescharacteristic, complemented
184C61×#388C2211yescharacteristic
185C61×#387C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic
187C61×#385C2211yescharacteristic, complemented
188C61×#380C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×Dic122C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210#14519776—24no—
211#14519772—24no—
212#14519771—24no—
213#14519770—24no—
214#14519766—24no—
215#14519765—24no—
216#14519763—24no—
217#14519763—24no—
218#14519763—42no—
219#14519762—24no—
220#14519761—24no—
221#14519761—24no—
222#14519759—24no—
223#14519757—24no—
224#14519757—42no—
225#14519755—24no—
226#14519754—24no—
227#14519753—24no—
228#14519751—42no—
229#14519750—24no—
230#14519750—24no—
231#14519750—24no—
232#14519749—24no—
233#14519747—24no—
234#14519747—42no—
235#14519745—24no—
236C4×Dic122—24no—
237C4×D244—24no—
238#14519737D418yescomplemented
239#14519735—24no—
240#14519735—42no—
241C2×C4⋊Dic61C2311yescharacteristic
242C2×C4⋊Dic61C2311yescharacteristic
243C2×C4⋊Dic61C2311yescharacteristic
244C2×C4⋊Dic61C2311yescharacteristic
245C2×C4⋊Dic61C2311yescharacteristic
246C2×C4⋊Dic61C2311yescharacteristic
247C2×C4⋊Dic61C2311yescharacteristic
248C2×C4⋊Dic61C2311yescharacteristic
249C2×C4⋊Dic61C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C22⋊C4×D61—24no—
306C2×C4×Dic61—42no—
307C2×C4×Dic61C2311yescharacteristic
308C2×C4×Dic61C2311yescharacteristic
309C2×C4×Dic61C2311yescharacteristic
310C2×C4×Dic61C2311yescharacteristic
311C2×C4×Dic61C2311yescharacteristic
312C2×C4×Dic61C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
314C2×C4×Dic61C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342C22×Q8×C61C2311yescharacteristic
343C22×D4×C61C2311yescharacteristic
344C23×C4×C61C2311yescharacteristic
345#126×C61—24no—
346#124×C61—24no—
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C4⋊C4×C61C2311yescharacteristic
352C2×C4⋊C4×C61C2311yescharacteristic
353C2×C4⋊C4×C61C2311yescharacteristic
354C2×C4⋊C4×C61C2311yescharacteristic
355C2×C4⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C42×C61C2311yescharacteristic
368C2×C42×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376#95×C61C2311yescharacteristic
377#95×C61C2311yescharacteristic
378#95×C61C2311yescharacteristic
379C24×C61C2411yescharacteristic
380C24×C61C2411yescharacteristic
381C23×D61—22no—
382C23×D61—41no—
383C23×D61—41no—
384C23×D61—41no—
385C23×D61—41no—
386C23×D61—41no—
387C23×D61—41no—
388C23×D61C2411yescharacteristic
389C23×D61C2411yescharacteristic
390C23×D61C2411yescharacteristic
391C23×D61C2411yescharacteristic
392C2×Q8×C61—22no—
393C2×Q8×C61—41no—
394C2×Q8×C61—41no—
395C2×D4×C61—22no—
396C2×D4×C61—41no—
397C2×D4×C61—41no—
398C22×C4×C61—22no—
399C22×C4×C61—41no—
400C22×C4×C61—41no—
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C22×C4×C61C2411yescharacteristic
405C22×C4×C61C2411yescharacteristic
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C2×C22⋊D61—22no—
415C2×C22⋊D61—22no—
416C2×C22⋊D61—22no—
417C2×C22⋊D61—22no—
418C2×C22⋊D61—41no—
419C2×C22⋊D61—41no—
420C2×C22⋊D61—41no—
421C2×C22⋊D61—41no—
422C2×C22⋊D61—41no—
423C2×C22⋊D61—41no—
424C2×C22⋊D61—41no—
425C2×C22⋊D61—41no—
426C2×C22⋊D61—41no—
427C2×C22⋊D61—41no—
428C2×C22⋊D61—41no—
429C2×C22⋊D61—41no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61C2×D414yes—
432C22×Dic61—41no—
433C22×Dic61—41no—
434C22×Dic61—41no—
435C22×Dic61—41no—
436C22×Dic61—41no—
437C22×Dic61C2×D414yes—
438C22×Dic61C2411yescharacteristic
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C22×Dic61C2411yescharacteristic
446C22×Dic61C2411yescharacteristic
447C22×Dic61C2411yescharacteristic
448C22×Dic61C2411yescharacteristic
449C22×Dic61C2411yescharacteristic
450C2×D244—22no—
451C2×D244—22no—
452C2×D244—22no—
453C2×D244—22no—
454C2×D244—41no—
455C2×D244—41no—
456C2×D244—41no—
457C2×D244—41no—
458C2×D244—41no—
459C2×D244—41no—
460C2×D244—41no—
461C2×D244—41no—
462C2×D244—41no—
463C2×D244—41no—
464C2×D244—41no—
465C2×C4×D61—22no—
466C2×C4×D61—22no—
467C2×C4×D61—22no—
468C2×C4×D61—41no—
469C2×C4×D61—41no—
470C2×C4×D61—41no—
471C2×C4×D61—41no—
472C2×C4×D61—41no—
473C2×C4×D61—41no—
474C2×C4×D61—41no—
475C2×C4×D61—41no—
476C2×C4×D61C2×D414yes—
477C2×Dic122—22no—
478C2×Dic122—22no—
479C2×Dic122—22no—
480C2×Dic122—41no—
481C2×Dic122—41no—
482C2×Dic122—41no—
483C2×Dic122—41no—
484C2×Dic122—41no—
485C2×Dic122—41no—
486C4⋊C4×C61—22no—
487C4⋊C4×C61—22no—
488C4⋊C4×C61—22no—
489C4⋊C4×C61—22no—
490C4⋊C4×C61—41no—
491C4⋊C4×C61—41no—
492C4⋊C4×C61—41no—
493C4⋊C4×C61—41no—
494C4⋊C4×C61—41no—
495C22⋊C4×C61—22no—
496C22⋊C4×C61—22no—
497C22⋊C4×C61—22no—
498C22⋊C4×C61—22no—
499C22⋊C4×C61—22no—
500C22⋊C4×C61—22no—
501C22⋊C4×C61—41no—
502C22⋊C4×C61—41no—
503C22⋊C4×C61—41no—
504C22⋊C4×C61—41no—
505C22⋊C4×C61C2×D414yes—
506C42×C61—22no—
507C42×C61—22no—
508C22⋊Dic61—22no—
509C22⋊Dic61—22no—
510C22⋊Dic61—22no—
511C22⋊Dic61—41no—
512C22⋊Dic61—41no—
513C22⋊Dic61—41no—
514C22⋊Dic61—41no—
515#11758198—22no—
516#11758198—22no—
517#11758198—22no—
518#11758198—22no—
519#11758198—22no—
520#11758198—22no—
521#11758198—22no—
522#11758198—22no—
523#11758198—22no—
524#11758198—22no—
525#11758198—22no—
526#11758198—22no—
527#11758198—22no—
528#11758198—22no—
529#11758198—22no—
530#11758198—22no—
531#11758198—41no—
532#11758198—41no—
533#11758198—41no—
534#11758198—41no—
535#11758198—41no—
536#11758198—41no—
537#11758198—41no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198—41no—
543#11758198—41no—
544#11758198—41no—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548#11758198—41no—
549#11758198—41no—
550#11758198—41no—
551#11758198—41no—
552#11758198C2×D414yes—
553C4⋊Dic61—22no—
554C4⋊Dic61—22no—
555C4⋊Dic61—22no—
556C4⋊Dic61—22no—
557C4⋊Dic61—22no—
558C4⋊Dic61—22no—
559C4⋊Dic61—41no—
560C4⋊Dic61—41no—
561C4⋊Dic61—41no—
562#11758196—22no—
563#11758196—22no—
564#11758196—22no—
565#11758196—22no—
566#11758196—22no—
567#11758196—22no—
568#11758196—41no—
569#11758196—41no—
570#11758196—41no—
571#11758196C2×D414yes—
572C4×Dic61—22no—
573C4×Dic61—22no—
574C4×Dic61—22no—
575C4×Dic61—22no—
576C4×Dic61—41no—
577C4×Dic61—41no—
578C4×Dic61—41no—
579C4×Dic61—41no—
580C4×Dic61C2×D414yes—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61C22×D412yes—
595C23×C61C2511yescharacteristic
596C22×D61—21no—
597C22×D61—21no—
598C22×D61—21no—
599C22×D61—21no—
600C22×D61—21no—
601C22×D61—21no—
602C22×D61—21no—
603C22×D61—21no—
604C22×D61—21no—
605C22×D61—21no—
606C22×D61—21no—
607C22×D61—21no—
608C22×D61—21no—
609C22×D61—21no—
610C22×D61—21no—
611C22×D61—21no—
612C22×D61—21no—
613C22×D61—21no—
614C22×D61—21no—
615C22×D61—21no—
616C22×D61—21no—
617C22×D61—21no—
618C22×D61—21no—
619C22×D61—21no—
620C22×D61—21no—
621C22×D61—21no—
622C22×D61—21no—
623C22×D61—44no—
624C22×D61—82no—
625C22×D61—82no—
626C22×D61—82no—
627C22×D61—82no—
628C22×D61—82no—
629C22×D61—82no—
630C22×D61C22×D412yes—
631Q8×C61—82no—
632D4×C61—82no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—44no—
670C2×C4×C61C22×D412yes—
671C2×C4×C61C22×D412yes—
672C2×C4×C61H(5,𝔽2)12yes—
673C22⋊D61—44no—
674C22⋊D61—82no—
675C22⋊D61—82no—
676C22⋊D61—82no—
677C22⋊D61—82no—
678C22⋊D61—82no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—44no—
713C2×Dic61—44no—
714C2×Dic61C22×D412yes—
715C2×Dic61C22×D412yes—
716C2×Dic61C22×D412yes—
717D244—44no—
718D244—82no—
719D244—82no—
720D244—82no—
721D244—82no—
722C4×D61—44no—
723C4×D61—44no—
724C4×D61—82no—
725C4×D61—82no—
726Dic122—44no—
727Dic122—82no—
728Dic122—82no—
729#36745—611nomaximal, Sylow
730C22×C61—22no—
731C22×C61—22no—
732C22×C61—22no—
733C22×C61—41no—
734C22×C61—41no—
735C22×C61—41no—
736C22×C61—41no—
737C22×C61—41no—
738C22×C61—41no—
739C22×C61—41no—
740C22×C61—41no—
741C22×C61—41no—
742C22×C61—41no—
743C22×C61—41no—
744C22×C61C23×D411yescharacteristic
745C22×C61C2×H(5,𝔽2)11yescharacteristic
746C22×C61#58511yescharacteristic
747C22×C61#58511yescharacteristic
748C22×C61#58511yescharacteristic
749C22×C61#58511yescharacteristic
750C22×C61#58511yescharacteristic
751C2×D61—22no—
752C2×D61—22no—
753C2×D61—22no—
754C2×D61—41no—
755C2×D61—41no—
756C2×D61—41no—
757C2×D61—41no—
758C2×D61—41no—
759C2×D61—41no—
760C2×D61—41no—
761C2×D61—41no—
762C2×D61—41no—
763C2×D61—41no—
764C2×D61—41no—
765C2×D61—41no—
766C2×D61—41no—
767C2×D61—41no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61—41no—
773C2×D61—41no—
774C2×D61—41no—
775C2×D61—41no—
776C2×D61—41no—
777C2×D61—41no—
778C2×D61—41no—
779C2×D61—88no—
780C4×C61—22no—
781C4×C61—22no—
782C4×C61—22no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789C4×C61—41no—
790C4×C61—41no—
791C4×C61—41no—
792C4×C61—41no—
793Dic61—22no—
794Dic61—22no—
795Dic61—22no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801Dic61—41no—
802Dic61—41no—
803Dic61—41no—
804Dic61—41no—
805C2×#542—611no—
806C2×#538—611no—
807#2854—611no—
808#2850—611no—
809#2723—611no—
810#2716—611no—
811#2715D6111yescharacteristic, complemented
812#2712—611no—
813#2700—611no—
814#2698—611no—
815#2696—611no—
816#2691—611no—
817#2688—611no—
818#2686—611no—
819#2685—611no—
820#2684—611no—
821#2676—611no—
822#2674—611no—
823#2670—611no—
824#2668—611no—
825#2663—611no—
826#2661—611no—
827#2610—611no—
828#2604—611no—
829#2602—611no—
830#2601—611no—
831#2592—611no—
832#2561—611no—
833#2415—611no—
834#2411—611no—
835#2290—611no—
836C2×C61—42no—
837C2×C61—81no—
838C2×C61#344911yescharacteristic
839C2×C61#349611yescharacteristic
840C2×C61#350011yescharacteristic
841C2×C61#353311yescharacteristic
842C2×C61#354011yescharacteristic
843C2×C61#356611yescharacteristic
844C2×C61#356811yescharacteristic
845D61—42no—
846D61—81no—
847D61—81no—
848D61—81no—
849#542—1228no—
850#538—1228no—
851C2×C4⋊Q8—611no—
852C2×#126—611no—
853C2×#126—611no—
854C2×#126—611no—
855C2×#126C2×D6111yescharacteristic, complemented
856C2×#124—611no—
857C2×#124—611no—
858C2×#124—611no—
859C2×#124—611no—
860C2×#124—611no—
861C2×#124C2×D6111yescharacteristic
862C2×#123—611no—
863C2×#123—611no—
864C2×#123—611no—
865C2×#123—611no—
866C2×C22⋊Q8—611no—
867C2×C22⋊Q8—611no—
868C2×C22⋊Q8—611no—
869C2×C22⋊Q8—611no—
870C2×C22⋊Q8—611no—
871C2×#121—611no—
872C2×#121—611no—
873C2×#121—611no—
874C2×#121—611no—
875C2×#121—611no—
876C2×#120—611no—
877C2×#120—611no—
878C2×#120—611no—
879C2×C4×Q8—611no—
880C2×C4×D4—611no—
881C2×C4×D4—611no—
882C2×#117—611no—
883C2×#117—611no—
884C22×C22⋊C4—611no—
885C22×C42—611no—
886#400—611no—
887#400—611no—
888#399—611no—
889#399—611no—
890#398—611no—
891#398—611no—
892#397—611no—
893#397—611no—
894#397—611no—
895#397—611no—
896#397—611no—
897#397—611no—
898#397—611no—
899#397—611no—
900#397C2×D6111yescharacteristic
901#397C2×D6111yescharacteristic, complemented
902#396—611no—
903#396—611no—
904#396C2×D6111yescharacteristic
905#396C2×D6111yescharacteristic
906#395—611no—
907#395—611no—
908#395C2×D6111yescharacteristic, complemented
909#394—611no—
910#394—611no—
911#394—611no—
912#394—611no—
913#394—611no—
914#394—611no—
915#394—611no—
916#394—611no—
917#394—611no—
918#394—611no—
919#394—611no—
920#394—611no—
921#394C2×D6111yescharacteristic
922#393—611no—
923#393—611no—
924#393—611no—
925#393—611no—
926#393—611no—
927#393—611no—
928#393—611no—
929#392—611no—
930#392—611no—
931#392—611no—
932#392—611no—
933#392—611no—
934#391—611no—
935#391—611no—
936#391—611no—
937#391C2×D6111yescharacteristic, complemented
938#390—611no—
939#390—611no—
940#390—611no—
941#390—611no—
942#390—611no—
943#390—611no—
944#390—611no—
945#389—611no—
946#389—611no—
947#389—611no—
948#389—611no—
949#389C2×D6111yescharacteristic, complemented
950#388—611no—
951#388—611no—
952#388—611no—
953#388—611no—
954#388—611no—
955#388—611no—
956#388—611no—
957#388—611no—
958#388—611no—
959#388—611no—
960#388—611no—
961#388—611no—
962#388—611no—
963#388—611no—
964#388—611no—
965#388—611no—
966#388—611no—
967#388—611no—
968#388—611no—
969#388C2×D6111yescharacteristic
970#387—611no—
971#387—611no—
972#387—611no—
973#387—611no—
974#387—611no—
975#387C2×D6111yescharacteristic, complemented
976#386—611no—
977#386—611no—
978#386—611no—
979#386—611no—
980#386—611no—
981#386—611no—
982#386—611no—
983#386—611no—
984#386—611no—
985#386—611no—
986#386—611no—
987#386—611no—
988#386C2×D6111yescharacteristic
989#385—611no—
990#385—611no—
991#385—611no—
992#385—611no—
993#385C2×D6111yescharacteristic, complemented
994#382—611no—
995#381—611no—
996#381—611no—
997#380—611no—
998#380C2×D6111yescharacteristic, complemented
999#379—611no—
1000#379—611no—
1001#379—611no—
1002C4×C4⋊C4—611no—
1003C4×C22⋊C4—611no—
1004C4×C22⋊C4—611no—
1005#376—611no—
1006C61#3674511yescharacteristic, complemented, Sylow
1007C25—611no—
1008C22×Q8—611no—
1009C22×Q8—611no—
1010C22×Q8—611no—
1011C22×Q8C22×D6111yescharacteristic
1012C22×D4—611no—
1013C22×D4—611no—
1014C22×D4—611no—
1015C22×D4—611no—
1016C22×D4—611no—
1017C22×D4—611no—
1018C22×D4—611no—
1019C22×D4—611no—
1020C22×D4—611no—
1021C22×D4—611no—
1022C22×D4—611no—
1023C22×D4C22×D6111yescharacteristic
1024C23×C4—611no—
1025C23×C4—611no—
1026C23×C4—611no—
1027C23×C4—611no—
1028C23×C4—611no—
1029C23×C4—611no—
1030C23×C4C22×D6111yescharacteristic
1031C4⋊Q8—1224no—
1032#126—24no—
1033#126—1224no—
1034#126—1224no—
1035#126—1224no—
1036#124—24no—
1037#124—1224no—
1038#124—1224no—
1039#124—1224no—
1040#124—1224no—
1041#124—2442no—
1042#123—1224no—
1043#123—1224no—
1044#123—1224no—
1045#123—1224no—
1046C22⋊Q8—1224no—
1047C22⋊Q8—1224no—
1048C22⋊Q8—1224no—
1049C22⋊Q8—1224no—
1050C22⋊Q8—2442no—
1051#121—1224no—
1052#121—1224no—
1053#121—1224no—
1054#121—1224no—
1055#121—2442no—
1056#120—1224no—
1057#120—1224no—
1058#120—2442no—
1059C4×Q8—1224no—
1060C4×D4—618no—
1061C4×D4—1224no—
1062#117—1224no—
1063#117—2442no—
1064C2×C4⋊C4—611no—
1065C2×C4⋊C4—611no—
1066C2×C4⋊C4—611no—
1067C2×C4⋊C4—611no—
1068C2×C4⋊C4—611no—
1069C2×C4⋊C4—611no—
1070C2×C4⋊C4—611no—
1071C2×C4⋊C4—611no—
1072C2×C4⋊C4—611no—
1073C2×C4⋊C4—611no—
1074C2×C4⋊C4—611no—
1075C2×C4⋊C4—611no—
1076C2×C4⋊C4—611no—
1077C2×C4⋊C4—611no—
1078C2×C4⋊C4—611no—
1079C2×C4⋊C4—611no—
1080C2×C4⋊C4—611no—
1081C2×C4⋊C4—611no—
1082C2×C4⋊C4—611no—
1083C2×C4⋊C4C22×D6111yescharacteristic
1084C2×C4⋊C4C22×D6111yescharacteristic
1085C2×C4⋊C4C22×D6111yescharacteristic
1086C2×C4⋊C4C22×D6111yescharacteristic
1087C2×C4⋊C4C22×D6111yescharacteristic
1088C2×C4⋊C4C22×D6111yescharacteristic
1089C2×C4⋊C4C22×D6111yescharacteristic
1090C2×C4⋊C4C22×D6111yescharacteristic
1091C2×C4⋊C4C22×D6111yescharacteristic
1092C2×C22⋊C4—611no—
1093C2×C22⋊C4—611no—
1094C2×C22⋊C4—611no—
1095C2×C22⋊C4—611no—
1096C2×C22⋊C4—611no—
1097C2×C22⋊C4—611no—
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—611no—
1100C2×C22⋊C4—611no—
1101C2×C22⋊C4—611no—
1102C2×C22⋊C4—611no—
1103C2×C22⋊C4—611no—
1104C2×C22⋊C4—611no—
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—611no—
1121C2×C22⋊C4—611no—
1122C2×C22⋊C4—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—611no—
1125C2×C22⋊C4—611no—
1126C2×C22⋊C4—611no—
1127C2×C22⋊C4—611no—
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—1224no—
1138C2×C22⋊C4C22×D6111yescharacteristic
1139C2×C22⋊C4C22×D6111yescharacteristic
1140C2×C22⋊C4C22×D6111yescharacteristic
1141C2×C22⋊C4C22×D6111yescharacteristic
1142C2×C22⋊C4C22×D6111yescharacteristic
1143C2×C22⋊C4C22×D6111yescharacteristic
1144C2×C22⋊C4C22×D6111yescharacteristic
1145C2×C22⋊C4C22×D6111yescharacteristic
1146C2×C22⋊C4C22×D6111yescharacteristic
1147C2×C22⋊C4C22×D6111yescharacteristic
1148C2×C22⋊C4C22×D6111yescharacteristic
1149C2×C42—611no—
1150C2×C42—611no—
1151C2×C42—611no—
1152C2×C42—611no—
1153C2×C42—611no—
1154C2×C42—611no—
1155C2×C42—611no—
1156C2×C42—611no—
1157C2×C42—611no—
1158C2×C42—2442no—
1159C2×C42C22×D6111yescharacteristic
1160C2×C42C22×D6111yescharacteristic
1161#95—611no—
1162#95—611no—
1163#95—611no—
1164#95—611no—
1165#95—611no—
1166#95—611no—
1167#95—611no—
1168#95—611no—
1169#95—611no—
1170#95—611no—
1171#95—611no—
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95—611no—
1180#95—611no—
1181#95—611no—
1182#95—611no—
1183#95—611no—
1184#95—611no—
1185#95—611no—
1186#95—611no—
1187#95C22×D6111yescharacteristic
1188#95C22×D6111yescharacteristic
1189#95C22×D6111yescharacteristic
1190#95C22×D6111yescharacteristic
1191#95C22×D6111yescharacteristic
1192#95C22×D6111yescharacteristic
1193#95C22×D6111yescharacteristic
1194#95C22×D6111yescharacteristic
1195#95C22×D6111yescharacteristic
1196#95C22×D6111yescharacteristic
1197C24—611no—
1198C24—611no—
1199C24—611no—
1200C24—611no—
1201C24—1222no—
1202C24—2441no—
1203C24—2441no—
1204C24—2441no—
1205C24—2441no—
1206C24—2441no—
1207C24—2441no—
1208C24C23×D6111yescharacteristic
1209C24C23×D6111yescharacteristic
1210C2×Q8—22no—
1211C2×Q8—41no—
1212C2×Q8—41no—
1213C2×Q8—1222no—
1214C2×Q8—1222no—
1215C2×Q8—1222no—
1216C2×Q8—2441no—
1217C2×Q8—2441no—
1218C2×Q8—2441no—
1219C2×Q8—2441no—
1220C2×Q8—2441no—
1221C2×Q8—2441no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—614no—
1226C2×D4—1222no—
1227C2×D4—1222no—
1228C2×D4—1222no—
1229C2×D4—1222no—
1230C2×D4—1222no—
1231C2×D4—1222no—
1232C2×D4—1222no—
1233C2×D4—1222no—
1234C2×D4—2441no—
1235C2×D4—2441no—
1236C2×D4—2441no—
1237C2×D4—2441no—
1238C2×D4—2441no—
1239C2×D4—2441no—
1240C2×D4—2441no—
1241C2×D4—2441no—
1242C2×D4—2441no—
1243C2×D4—2441no—
1244C2×D4—2441no—
1245C2×D4—2441no—
1246C2×D4—2441no—
1247C2×D4—2441no—
1248C2×D4—2441no—
1249C2×D4—2441no—
1250C2×D4—2441no—
1251C2×D4—2441no—
1252C2×D4—2441no—
1253C2×D4—2441no—
1254C2×D4—2441no—
1255C2×D4—2441no—
1256C2×D4—2441no—
1257C2×D4—2441no—
1258C22×C4—22no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—611no—
1262C22×C4—611no—
1263C22×C4—611no—
1264C22×C4—614no—
1265C22×C4—614no—
1266C22×C4—611no—
1267C22×C4—611no—
1268C22×C4—611no—
1269C22×C4—611no—
1270C22×C4—611no—
1271C22×C4—611no—
1272C22×C4—611no—
1273C22×C4—611no—
1274C22×C4—611no—
1275C22×C4—1222no—
1276C22×C4—1222no—
1277C22×C4—1222no—
1278C22×C4—2441no—
1279C22×C4—2441no—
1280C22×C4—2441no—
1281C22×C4—2441no—
1282C22×C4—2441no—
1283C22×C4—2441no—
1284C22×C4—2441no—
1285C22×C4—2441no—
1286C22×C4—2441no—
1287C22×C4—2441no—
1288C22×C4—2441no—
1289C22×C4—2441no—
1290C22×C4—2441no—
1291C22×C4C23×D6111yescharacteristic
1292C22×C4C23×D6111yescharacteristic
1293C22×C4C23×D6111yescharacteristic
1294C22×C4C23×D6111yescharacteristic
1295C22×C4C23×D6111yescharacteristic
1296C22×C4C23×D6111yescharacteristic
1297C22×C4C23×D6111yescharacteristic
1298C22×C4C23×D6111yescharacteristic
1299C22×C4C23×D6111yescharacteristic
1300C22×C4C23×D6111yescharacteristic
1301C22×C4C23×D6111yescharacteristic
1302C22×C4C23×D6111yescharacteristic
1303C22×C4C23×D6111yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—614no—
1314C4⋊C4—1222no—
1315C4⋊C4—1222no—
1316C4⋊C4—1222no—
1317C4⋊C4—1222no—
1318C4⋊C4—1222no—
1319C4⋊C4—1222no—
1320C4⋊C4—1222no—
1321C4⋊C4—1222no—
1322C4⋊C4—1222no—
1323C4⋊C4—1222no—
1324C4⋊C4—1222no—
1325C4⋊C4—1222no—
1326C4⋊C4—2441no—
1327C4⋊C4—2441no—
1328C4⋊C4—2441no—
1329C4⋊C4—2441no—
1330C4⋊C4—2441no—
1331C4⋊C4—2441no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—614no—
1343C22⋊C4—1222no—
1344C22⋊C4—1222no—
1345C22⋊C4—1222no—
1346C22⋊C4—1222no—
1347C22⋊C4—1222no—
1348C22⋊C4—1222no—
1349C22⋊C4—1222no—
1350C22⋊C4—1222no—
1351C22⋊C4—1222no—
1352C22⋊C4—1222no—
1353C22⋊C4—1222no—
1354C22⋊C4—1222no—
1355C22⋊C4—1222no—
1356C22⋊C4—1222no—
1357C22⋊C4—1222no—
1358C22⋊C4—1222no—
1359C22⋊C4—1222no—
1360C22⋊C4—1222no—
1361C22⋊C4—1222no—
1362C22⋊C4—2441no—
1363C22⋊C4—2441no—
1364C22⋊C4—2441no—
1365C22⋊C4—2441no—
1366C22⋊C4—2441no—
1367C22⋊C4—2441no—
1368C22⋊C4—2441no—
1369C22⋊C4—2441no—
1370C22⋊C4—2441no—
1371C22⋊C4—2441no—
1372C22⋊C4—2441no—
1373C22⋊C4—2441no—
1374C22⋊C4—2441no—
1375C22⋊C4—2441no—
1376C22⋊C4—2441no—
1377C22⋊C4—2441no—
1378C22⋊C4—2441no—
1379C22⋊C4—2441no—
1380C22⋊C4—2441no—
1381C22⋊C4—2441no—
1382C22⋊C4—2441no—
1383C22⋊C4—2441no—
1384C22⋊C4—2441no—
1385C22⋊C4—2441no—
1386C22⋊C4—2441no—
1387C22⋊C4D4×D6114yes—
1388C42—22no—
1389C42—22no—
1390C42—614no—
1391C42—1222no—
1392C42—1222no—
1393C42—1222no—
1394C42—1222no—
1395C42—2441no—
1396C42—2441no—
1397C42—2441no—
1398C42—2441no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—612no—
1413C23—1221no—
1414C23—1221no—
1415C23—1221no—
1416C23—1221no—
1417C23—1221no—
1418C23—1221no—
1419C23—1221no—
1420C23—1221no—
1421C23—1221no—
1422C23—1221no—
1423C23—1221no—
1424C23—1221no—
1425C23—1221no—
1426C23—1221no—
1427C23—1221no—
1428C23—1221no—
1429C23—1221no—
1430C23—1221no—
1431C23—1221no—
1432C23—1221no—
1433C23—1221no—
1434C23—1221no—
1435C23—1221no—
1436C23—1221no—
1437C23—1221no—
1438C23—1221no—
1439C23—1221no—
1440C23—4882no—
1441C23—4882no—
1442C23—4882no—
1443C23—4882no—
1444C23—4882no—
1445C23—4882no—
1446C23—2444no—
1447C23C2×D4×D6112yes—
1448C23C24×D6111yescharacteristic
1449Q8—82no—
1450Q8—4882no—
1451Q8—4882no—
1452Q8—2444no—
1453D4—82no—
1454D4—4882no—
1455D4—4882no—
1456D4—4882no—
1457D4—4882no—
1458D4—4882no—
1459D4—4882no—
1460D4—4882no—
1461D4—4882no—
1462D4—4882no—
1463D4—2444no—
1464D4—2444no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—44no—
1502C2×C4—612no—
1503C2×C4—612no—
1504C2×C4—612no—
1505C2×C4—1221no—
1506C2×C4—1221no—
1507C2×C4—1221no—
1508C2×C4—1221no—
1509C2×C4—1221no—
1510C2×C4—1221no—
1511C2×C4—1221no—
1512C2×C4—1221no—
1513C2×C4—1221no—
1514C2×C4—1221no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—1221no—
1526C2×C4—1221no—
1527C2×C4—1221no—
1528C2×C4—1221no—
1529C2×C4—1221no—
1530C2×C4—1221no—
1531C2×C4—1221no—
1532C2×C4—1221no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—4882no—
1539C2×C4—4882no—
1540C2×C4—2444no—
1541C2×C4—2444no—
1542C2×C4—2444no—
1543C2×C4—2444no—
1544C2×C4C2×D4×D6112yes—
1545C2×C4C2×D4×D6112yes—
1546C2×C4#1451982312yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—1222no—
1562C22—1222no—
1563C22—1222no—
1564C22—4888no—
1565C22—2441no—
1566C22—2441no—
1567C22—2441no—
1568C22—2441no—
1569C22—2441no—
1570C22—2441no—
1571C22—2441no—
1572C22—2441no—
1573C22—2441no—
1574C22—2441no—
1575C22—2441no—
1576C22—2441no—
1577C22—2441no—
1578C22—2441no—
1579C22—2441no—
1580C22—2441no—
1581C22—2441no—
1582C22—2441no—
1583C22—2441no—
1584C22—2441no—
1585C22—2441no—
1586C22—2441no—
1587C22—2441no—
1588C22—2441no—
1589C22—2441no—
1590C22C22×D4×D6111yescharacteristic
1591C22C2×#1451982311yescharacteristic
1592C22#1684059711yescharacteristic
1593C22#1684059711yescharacteristic
1594C22#1684059811yescharacteristic
1595C22#1684059911yescharacteristic
1596C22#1684059911yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—1222no—
1611C4—1222no—
1612C4—1222no—
1613C4—2441no—
1614C4—2441no—
1615C4—2441no—
1616C4—2441no—
1617C4—2441no—
1618C4—2441no—
1619C4—2441no—
1620C4—2441no—
1621C4—2441no—
1622C2—42no—
1623C2—81no—
1624C2—4881no—
1625C2—4881no—
1626C2—4881no—
1627C2—2442no—
1628C2#2145914711yescharacteristic
1629C2#2145957711yescharacteristic
1630C2#2145960511yescharacteristic
1631C2#2145998711yescharacteristic
1632C2#2146009511yescharacteristic
1633C2#2146050011yescharacteristic
1634C2#2146051111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2715C2
hypercenter#2715D61
hypocenterC61#36745
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2715

Complements

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

NH ≅ G/Ntype
1. C2×#16840378C2semidirect
2. C2×#16840346C2semidirect
3. #21454151C2semidirect
4. #21454116C2semidirect
5. #21452738C2semidirect
6. #21452649C2semidirect
7. #21452585C2semidirect
8. #21452420C2semidirect
9. #21452400C2semidirect
10. #21452371C2semidirect
11. #21452294C2semidirect
12. #21452248C2semidirect
13. #21452222C2semidirect
14. #21452217C2semidirect
15. #21452194C2semidirect
16. #21452123C2semidirect
17. #21452107C2semidirect
18. #21452043C2semidirect
19. #21452024C2semidirect
20. #21451968C2semidirect
21. #21451946C2semidirect
22. #21451501C2semidirect
23. #21451454C2semidirect
24. #21451429C2semidirect
25. #21451419C2semidirect
26. #21451306C2semidirect
27. #21450971C2semidirect
28. #21449246C2semidirect
29. #21449199C2semidirect
30. #21448255C2semidirect
31. C61×#2715C2semidirect
34. C2×#14519776C22semidirect
42. C2×#14519763C22semidirect
45. C2×#14519761C22semidirect
48. C2×#14519757C22semidirect
49. C2×#14519755C22semidirect
50. C2×#14519754C22semidirect
60. C2×C4×Dic122C22semidirect
64. C2×#14519735C22semidirect
66. C22×C4×Dic61C22semidirect
67. #16839704C22semidirect
68. #16839703C22semidirect
71. #16839695C22semidirect
72. #16839695C22semidirect
74. #16839691C22semidirect
75. #16839691C22semidirect
76. #16839690C22semidirect
82. #16839684C22semidirect
83. #16839683C22semidirect
84. #16839682C22semidirect
96. #16839677C22semidirect
100. #16839675C22semidirect
103. #16839673C22semidirect
107. #16839671C22semidirect
109. #16839669C22semidirect
110. #16839668C22semidirect
111. #16839666C22semidirect
116. #16839663C22semidirect
119. #16839661C22semidirect
120. #16839661C22semidirect
121. #16839661C22semidirect
122. #16839659C22semidirect
130. #16839654C22semidirect
131. #16839654C22semidirect
132. #16839654C22semidirect
133. #16839654C22semidirect
134. #16839653C22semidirect
137. #16839652C22semidirect
139. #16839651C22semidirect
142. #16839649C22semidirect
143. #16839647C22semidirect
144. #16839646C22semidirect
145. #16839644C22semidirect
146. #16839643C22semidirect
149. #16839641C22semidirect
152. #16839640C22semidirect
153. #16839640C22semidirect
156. #16839639C22semidirect
157. #16839639C22semidirect
159. #16839637C22semidirect
161. #16839633C22semidirect
162. #16839633C22semidirect
163. #16839626C22semidirect
166. #16839619C22semidirect
170. C4⋊C4×Dic61C22semidirect
171. C22⋊C4×Dic61C22semidirect
173. #16839607C22semidirect
174. C2×#126×C61C22semidirect
177. C61×#397C22semidirect
180. C61×#395C22semidirect
182. C61×#391C22semidirect
183. C61×#389C22semidirect
185. C61×#387C22semidirect
187. C61×#385C22semidirect
188. C61×#380C22semidirect
238. #14519737D4semidirect
811. #2715D61semidirect
855. C2×#126C2×D61semidirect
901. #397C2×D61semidirect
908. #395C2×D61semidirect
937. #391C2×D61semidirect
949. #389C2×D61semidirect
975. #387C2×D61semidirect
993. #385C2×D61semidirect
998. #380C2×D61semidirect
1006. C61#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#168403782
C2×#168403462
#214541512
#214541162
#214527382
#214526492
#214525852
#214524202
#214524002
#214523712
#214522942
#214522482
#214522222
#214522172
#214521942
#214521232
#214521072
#214520432
#214520242
#214519682
#214519462
#214515012
#214514542
#214514292
#214514192
#214513062
#214509712
#214492462
#214491992
#214482552
C61×#27152
#3674561