Finite Group Databasebeta

← #29886895

Subgroups — #29886895

Order 15616.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840386C211yesmaximal, characteristic, complemented
2C2×#16840275C211yesmaximal, characteristic, complemented
3#21454114C211yesmaximal, characteristic, complemented
4#21454103C211yesmaximal, characteristic, complemented
5#21452367C211yesmaximal, characteristic, complemented
6#21452360C211yesmaximal, characteristic, complemented
7#21452311C211yesmaximal, characteristic, complemented
8#21452304C211yesmaximal, characteristic, complemented
9#21452269C211yesmaximal, characteristic, complemented
10#21452228C211yesmaximal, characteristic, complemented
11#21452207C211yesmaximal, characteristic, complemented
12#21452200C211yesmaximal, characteristic, complemented
13#21452116C211yesmaximal, characteristic, complemented
14#21452095C211yesmaximal, characteristic, complemented
15#21452095C211yesmaximal, characteristic, complemented
16#21452069C211yesmaximal, characteristic, complemented
17#21452062C211yesmaximal, characteristic, complemented
18#21452039C211yesmaximal, characteristic, complemented
19#21452028C211yesmaximal, characteristic, complemented
20#21451745C211yesmaximal, characteristic, complemented
21#21451669C211yesmaximal, characteristic, complemented
22#21451498C211yesmaximal, characteristic, complemented
23#21451436C211yesmaximal, characteristic, complemented
24#21451399C211yesmaximal, characteristic, complemented
25#21451383C211yesmaximal, characteristic, complemented
26#21451174C211yesmaximal, characteristic, complemented
27#21450996C211yesmaximal, characteristic, complemented
28#21449444C211yesmaximal, characteristic, complemented
29#21449430C211yesmaximal, characteristic, complemented
30#21448451C211yesmaximal, characteristic, complemented
31C61×#2677C211yesmaximal, characteristic, complemented
32C22×#11758226C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34#16840386—28no—
35C2×#14519772C2211yescharacteristic
36C2×#14519772C2211yescharacteristic, complemented
37C2×#14519766C2211yescharacteristic
38C2×#14519766C2211yescharacteristic
39C2×#14519766C2211yescharacteristic, complemented
40C2×#14519765C2211yescharacteristic
41#16840275—28no—
42C2×#14519762C2211yescharacteristic
43C2×#14519762C2211yescharacteristic
44C2×#14519762C2211yescharacteristic
45C2×#14519762C2211yescharacteristic
46C2×#14519762C2211yescharacteristic, complemented
47C2×#14519757C2211yescharacteristic, complemented
48C2×#14519753C2211yescharacteristic
49C2×#14519753C2211yescharacteristic
50C2×#14519753C2211yescharacteristic
51C2×#14519753C2211yescharacteristic, complemented
52C2×#14519752C2211yescharacteristic
53C2×#14519752C2211yescharacteristic
54C2×#14519752C2211yescharacteristic
55C2×#14519752C2211yescharacteristic, complemented
56C2×#14519751C2211yescharacteristic
57C2×#14519747C2211yescharacteristic
58C2×#14519747C2211yescharacteristic
59C2×#14519747C2211yescharacteristic
60C2×#14519742C2211yescharacteristic, complemented
61C2×#14519739C2211yescharacteristic
62C2×#14519739C2211yescharacteristic
63C2×#14519737C2211yescharacteristic
64C2×#14519737C2211yescharacteristic
65C2×#14519735C2211yescharacteristic
66C2×#14519734C2211yescharacteristic, complemented
67#16839703C2211yescharacteristic, complemented
68#16839702C2211yescharacteristic, complemented
69#16839698C2211yescharacteristic
70#16839697C2211yescharacteristic, complemented
71#16839697C2211yescharacteristic, complemented
72#16839696C2211yescharacteristic, complemented
73#16839692C2211yescharacteristic, complemented
74#16839691C2211yescharacteristic
75#16839691C2211yescharacteristic, complemented
76#16839689C2211yescharacteristic, complemented
77#16839688C2211yescharacteristic
78#16839688C2211yescharacteristic
79#16839688C2211yescharacteristic
80#16839686C2211yescharacteristic
81#16839684C2211yescharacteristic, complemented
82#16839684C2211yescharacteristic, complemented
83#16839684C2211yescharacteristic, complemented
84#16839682C2211yescharacteristic, complemented
85#16839681C2211yescharacteristic, complemented
86#16839680C2211yescharacteristic
87#16839680C2211yescharacteristic
88#16839680C2211yescharacteristic
89#16839680C2211yescharacteristic
90#16839680C2211yescharacteristic, complemented
91#16839679C2211yescharacteristic
92#16839679C2211yescharacteristic
93#16839679C2211yescharacteristic
94#16839679C2211yescharacteristic
95#16839679C2211yescharacteristic, complemented
96#16839679C2211yescharacteristic, complemented
97#16839679C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic
99#16839677C2211yescharacteristic
100#16839675C2211yescharacteristic
101#16839675C2211yescharacteristic, complemented
102#16839674C2211yescharacteristic
103#16839673C2211yescharacteristic, complemented
104#16839673C2211yescharacteristic, complemented
105#16839672C2211yescharacteristic
106#16839672C2211yescharacteristic
107#16839671C2211yescharacteristic
108#16839671C2211yescharacteristic
109#16839669C2211yescharacteristic, complemented
110#16839664C2211yescharacteristic
111#16839662C2211yescharacteristic
112#16839662C2211yescharacteristic
113#16839662C2211yescharacteristic
114#16839657C2211yescharacteristic, complemented
115#16839657C2211yescharacteristic, complemented
116#16839657C2211yescharacteristic, complemented
117#16839653C2211yescharacteristic
118#16839653C2211yescharacteristic
119#16839653C2211yescharacteristic, complemented
120#16839653C2211yescharacteristic, complemented
121#16839651C2211yescharacteristic
122#16839651C2211yescharacteristic
123#16839651C2211yescharacteristic
124#16839651C2211yescharacteristic, complemented
125#16839648C2211yescharacteristic, complemented
126#16839648C2211yescharacteristic, complemented
127#16839648C2211yescharacteristic, complemented
128#16839644C2211yescharacteristic, complemented
129#16839644C2211yescharacteristic, complemented
130#16839644C2211yescharacteristic, complemented
131#16839641C2211yescharacteristic
132#16839640C2211yescharacteristic
133#16839640C2211yescharacteristic
134#16839640C2211yescharacteristic
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic
137#16839640C2211yescharacteristic
138#16839640C2211yescharacteristic, complemented
139#16839640C2211yescharacteristic, complemented
140#16839640C2211yescharacteristic, complemented
141#16839639C2211yescharacteristic
142#16839638C2211yescharacteristic
143#16839638C2211yescharacteristic
144#16839638C2211yescharacteristic
145#16839636C2211yescharacteristic, complemented
146#16839634C2211yescharacteristic
147#16839634C2211yescharacteristic
148#16839634C2211yescharacteristic
149#16839633C2211yescharacteristic
150#16839633C2211yescharacteristic
151#16839633C2211yescharacteristic
152#16839633C2211yescharacteristic
153#16839633C2211yescharacteristic
154#16839633C2211yescharacteristic
155#16839633C2211yescharacteristic, complemented
156#16839633C2211yescharacteristic, complemented
157#16839633C2211yescharacteristic, complemented
158#16839633C2211yescharacteristic, complemented
159#16839633C2211yescharacteristic, complemented
160#16839629C2211yescharacteristic, complemented
161#16839626C2211yescharacteristic, complemented
162#16839624C2211yescharacteristic
163#16839624C2211yescharacteristic
164#16839622C2211yescharacteristic
165#16839621C2211yescharacteristic, complemented
166#16839621C2211yescharacteristic, complemented
167#16839619C2211yescharacteristic
168#16839619C2211yescharacteristic
169#16839617C2211yescharacteristic
170#16839617C2211yescharacteristic
171#16839617C2211yescharacteristic
172C4×#11758198C2211yescharacteristic, complemented
173#95×D61C2211yescharacteristic, complemented
174C2×C4⋊Q8×C61C2211yescharacteristic, complemented
175C2×C4⋊Q8×C61C2211yescharacteristic, complemented
176C2×C22⋊Q8×C61C2211yescharacteristic
177C2×C22⋊Q8×C61C2211yescharacteristic
178C61×#399C2211yescharacteristic
179C61×#398C2211yescharacteristic, complemented
180C61×#398C2211yescharacteristic, complemented
181C61×#395C2211yescharacteristic, complemented
182C61×#395C2211yescharacteristic, complemented
183C61×#393C2211yescharacteristic
184C61×#388C2211yescharacteristic
185C61×#388C2211yescharacteristic
186C61×#387C2211yescharacteristic, complemented
187C61×#387C2211yescharacteristic, complemented
188C61×#385C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C2×#11758226—24no—
191C2×#11758226—42no—
192C2×#11758226—42no—
193C22×Dic122C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×D244C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C22×C4×D61—24no—
208C22×C4×D61—42no—
209C22×C4×D61—42no—
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219#14519772—24no—
220#14519772—24no—
221#14519766—24no—
222#14519766—24no—
223#14519766—42no—
224#14519765—24no—
225#14519762—24no—
226#14519762—24no—
227#14519762—24no—
228#14519762—24no—
229#14519762—42no—
230#14519757—24no—
231#14519753—24no—
232#14519753—24no—
233#14519753—24no—
234#14519753—42no—
235#14519752—24no—
236#14519752—24no—
237#14519752—42no—
238#14519752—42no—
239#14519751—24no—
240#14519747—24no—
241#14519747—24no—
242#14519747—42no—
243#14519742—24no—
244#14519739—24no—
245#14519739D418yescomplemented
246#14519737—24no—
247#14519737—24no—
248#14519735—24no—
249#14519734—24no—
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×C4⋊Dic61C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
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×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
316C2×C4×Dic61C2311yescharacteristic
317C2×C4×Dic61C2311yescharacteristic
318C2×C4×Dic61C2311yescharacteristic
319C2×C4×Dic61C2311yescharacteristic
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
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346C22×Q8×C61C2311yescharacteristic
347C22×Q8×C61C2311yescharacteristic
348C22×Q8×C61C2311yescharacteristic
349C23×C4×C61C2311yescharacteristic
350C4⋊Q8×C61—24no—
351C4⋊Q8×C61—42no—
352C22⋊Q8×C61—24no—
353C22⋊Q8×C61—42no—
354C2×C4⋊C4×C61C2311yescharacteristic
355C2×C4⋊C4×C61C2311yescharacteristic
356C2×C4⋊C4×C61C2311yescharacteristic
357C2×C4⋊C4×C61C2311yescharacteristic
358C2×C4⋊C4×C61C2311yescharacteristic
359C2×C4⋊C4×C61C2311yescharacteristic
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C42×C61C2311yescharacteristic
374C2×C42×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376#95×C61C2311yescharacteristic
377#95×C61C2311yescharacteristic
378#95×C61C2311yescharacteristic
379#95×C61C2311yescharacteristic
380#95×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382#95×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385C24×C61C2411yescharacteristic
386C23×D61—22no—
387C23×D61—22no—
388C23×D61—22no—
389C23×D61—41no—
390C23×D61—41no—
391C23×D61—41no—
392C23×D61—41no—
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C23×D61C2411yescharacteristic
398C2×Q8×C61—22no—
399C2×Q8×C61—22no—
400C2×Q8×C61—22no—
401C2×Q8×C61—22no—
402C2×Q8×C61—41no—
403C2×Q8×C61—41no—
404C2×Q8×C61—41no—
405C2×Q8×C61—41no—
406C2×Q8×C61—41no—
407C22×C4×C61—22no—
408C22×C4×C61—22no—
409C22×C4×C61—41no—
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C2×C22⋊D61—22no—
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C2×C22⋊D61—41no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61—41no—
432C2×C22⋊D61—41no—
433C22×Dic61—22no—
434C22×Dic61—41no—
435C22×Dic61—41no—
436C22×Dic61C2411yescharacteristic
437C22×Dic61C2411yescharacteristic
438C22×Dic61C2411yescharacteristic
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C22×Dic61C2411yescharacteristic
446C22×Dic61C2411yescharacteristic
447#11758226—416no—
448C2×D244—22no—
449C2×D244—22no—
450C2×D244—22no—
451C2×D244—22no—
452C2×D244—22no—
453C2×D244—22no—
454C2×D244—22no—
455C2×D244—22no—
456C2×D244—22no—
457C2×D244—22no—
458C2×D244—41no—
459C2×D244—41no—
460C2×D244—41no—
461C2×D244—41no—
462C2×D244—41no—
463C2×D244—41no—
464C2×D244—41no—
465C2×D244—41no—
466C2×D244—41no—
467C2×D244—41no—
468C2×D244—41no—
469C2×D244—41no—
470C2×D244—41no—
471C2×D244—41no—
472C2×D244—41no—
473C2×D244—41no—
474C2×D244C2×D414yes—
475C2×C4×D61—22no—
476C2×C4×D61—22no—
477C2×C4×D61—22no—
478C2×C4×D61—22no—
479C2×C4×D61—22no—
480C2×C4×D61—22no—
481C2×C4×D61—22no—
482C2×C4×D61—22no—
483C2×C4×D61—22no—
484C2×C4×D61—416no—
485C2×C4×D61—41no—
486C2×C4×D61—41no—
487C2×C4×D61—41no—
488C2×C4×D61—41no—
489C2×C4×D61—41no—
490C2×C4×D61—41no—
491C2×C4×D61—41no—
492C2×C4×D61—41no—
493C2×C4×D61—41no—
494C2×C4×D61—41no—
495C2×C4×D61—41no—
496C2×C4×D61—41no—
497C2×C4×D61—41no—
498C2×C4×D61—41no—
499C2×C4×D61—41no—
500C2×C4×D61—41no—
501C2×C4×D61C2×D414yes—
502C2×C4×D61C2×D414yes—
503C2×Dic122—22no—
504C2×Dic122—41no—
505C2×Dic122—41no—
506C4⋊C4×C61—22no—
507C4⋊C4×C61—22no—
508C4⋊C4×C61—22no—
509C4⋊C4×C61—22no—
510C4⋊C4×C61—22no—
511C4⋊C4×C61—22no—
512C4⋊C4×C61—22no—
513C4⋊C4×C61—22no—
514C4⋊C4×C61—41no—
515C4⋊C4×C61—41no—
516C4⋊C4×C61—41no—
517C4⋊C4×C61—41no—
518C4⋊C4×C61C2×D414yes—
519C22⋊C4×C61—22no—
520C22⋊C4×C61—22no—
521C22⋊C4×C61—22no—
522C22⋊C4×C61—41no—
523C22⋊C4×C61—41no—
524C22⋊C4×C61—41no—
525C42×C61—22no—
526C42×C61—41no—
527C22⋊Dic61—41no—
528C22⋊Dic61—41no—
529C22⋊Dic61—41no—
530#11758198—22no—
531#11758198—22no—
532#11758198—22no—
533#11758198—22no—
534#11758198—22no—
535#11758198—22no—
536#11758198—22no—
537#11758198—22no—
538#11758198—22no—
539#11758198—22no—
540#11758198—22no—
541#11758198—22no—
542#11758198—22no—
543#11758198—22no—
544#11758198—22no—
545#11758198—22no—
546#11758198—22no—
547#11758198—22no—
548#11758198—22no—
549#11758198—22no—
550#11758198—41no—
551#11758198—41no—
552#11758198—41no—
553#11758198—41no—
554#11758198—41no—
555#11758198—41no—
556#11758198—41no—
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#11758198C2×D414yes—
572#11758198C2×D414yes—
573C4⋊Dic61—22no—
574C4⋊Dic61—22no—
575C4⋊Dic61—22no—
576C4⋊Dic61—41no—
577#11758196—22no—
578#11758196—22no—
579#11758196—22no—
580#11758196—22no—
581#11758196—22no—
582#11758196—22no—
583#11758196—41no—
584#11758196—41no—
585#11758196—41no—
586#11758196—41no—
587#11758196—41no—
588#11758196—41no—
589#11758196—41no—
590#11758196—41no—
591#11758196—41no—
592C4×Dic61—22no—
593C4×Dic61—22no—
594C4×Dic61—22no—
595C4×Dic61—41no—
596C4×Dic61C2×D414yes—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C612−1+412yes—
604C23×C61C2511yescharacteristic
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—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—21no—
627C22×D61—21no—
628C22×D61—21no—
629C22×D61—21no—
630C22×D61—21no—
631C22×D61—21no—
632C22×D61—21no—
633C22×D61—21no—
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—44no—
638C22×D61—44no—
639C22×D61—44no—
640C22×D61—44no—
641C22×D61—44no—
642C22×D61—44no—
643C22×D61—44no—
644C22×D61C22×D412yes—
645C22×D61C22×D412yes—
646C22×D61H(5,𝔽2)12yes—
647Q8×C61—44no—
648Q8×C61—82no—
649Q8×C61—82no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
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—44no—
689C2×C4×C61C22×D412yes—
690C2×C4×C61C22×D412yes—
691C2×C4×C61C22×D412yes—
692C2×C4×C61H(5,𝔽2)12yes—
693C22⋊D61—44no—
694C22⋊D61—44no—
695C22⋊D61—82no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—44no—
728C2×Dic61C22×D412yes—
729C2×Dic61C22×D412yes—
730D244—44no—
731D244—44no—
732D244—44no—
733D244—44no—
734D244—44no—
735D244—82no—
736D244—82no—
737D244—82no—
738D244—82no—
739C4×D61—28no—
740C4×D61—44no—
741C4×D61—44no—
742C4×D61—44no—
743C4×D61—44no—
744C4×D61—44no—
745C4×D61—44no—
746C4×D61—82no—
747C4×D61—82no—
748Dic122—44no—
749#36712—611nomaximal, Sylow
750C22×C61—22no—
751C22×C61—22no—
752C22×C61—22no—
753C22×C61—41no—
754C22×C61—41no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61C23×D411yescharacteristic
758C22×C61C2×H(5,𝔽2)11yescharacteristic
759C22×C61C2×H(5,𝔽2)11yescharacteristic
760C22×C61C2×2−1+411yescharacteristic
761C22×C61#58511yescharacteristic
762C22×C61#58511yescharacteristic
763C22×C61#58511yescharacteristic
764C2×D61—22no—
765C2×D61—22no—
766C2×D61—22no—
767C2×D61—22no—
768C2×D61—22no—
769C2×D61—22no—
770C2×D61—22no—
771C2×D61—22no—
772C2×D61—22no—
773C2×D61—416no—
774C2×D61—41no—
775C2×D61—41no—
776C2×D61—41no—
777C2×D61—41no—
778C2×D61—41no—
779C2×D61—41no—
780C2×D61—41no—
781C2×D61—41no—
782C2×D61—41no—
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C4×C61—22no—
801C4×C61—22no—
802C4×C61—22no—
803C4×C61—22no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814Dic61—22no—
815Dic61—22no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824Dic61—41no—
825C2×#542—611no—
826C2×#525—611no—
827#2849—611no—
828#2848—611no—
829#2696—611no—
830#2695—611no—
831#2692—611no—
832#2691—611no—
833#2689—611no—
834#2686—611no—
835#2685—611no—
836#2684—611no—
837#2677D6111yescharacteristic, complemented
838#2676—611no—
839#2674—611no—
840#2674—611no—
841#2672—611no—
842#2671—611no—
843#2670—611no—
844#2668—611no—
845#2638—611no—
846#2630—611no—
847#2609—611no—
848#2602—611no—
849#2599—611no—
850#2598—611no—
851#2580—611no—
852#2564—611no—
853#2432—611no—
854#2430—611no—
855#2318—611no—
856C2×C61—42no—
857C2×C61#344911yescharacteristic
858C2×C61#348411yescharacteristic
859C2×C61#348911yescharacteristic
860C2×C61#353311yescharacteristic
861C2×C61#353511yescharacteristic
862C2×C61#354011yescharacteristic
863C2×C61#354111yescharacteristic
864D61—42no—
865D61—42no—
866D61—42no—
867D61—81no—
868D61—81no—
869C22×#41—611no—
870C24×C4—611no—
871#542—1228no—
872C2×C4⋊Q8C2×D6111yescharacteristic, complemented
873C2×C4⋊Q8C2×D6111yescharacteristic, complemented
874C2×#126—611no—
875C2×#126—611no—
876C2×#124—611no—
877C2×#124—611no—
878C2×#124—611no—
879C2×#124—611no—
880#525—1228no—
881C2×#123—611no—
882C2×#123—611no—
883C2×#123—611no—
884C2×#123—611no—
885C2×#123—611no—
886C2×C22⋊Q8—611no—
887C2×C22⋊Q8—611no—
888C2×C22⋊Q8—611no—
889C2×C22⋊Q8—611no—
890C2×C22⋊Q8—611no—
891C2×C22⋊Q8C2×D6111yescharacteristic
892C2×C22⋊Q8C2×D6111yescharacteristic
893C2×#121—611no—
894C2×#121—611no—
895C2×#121—611no—
896C2×#121—611no—
897C2×#121—611no—
898C2×#120—611no—
899C2×#120—611no—
900C2×#120—611no—
901C2×C4×Q8—611no—
902C2×C4×D4—611no—
903C2×C4×D4—611no—
904C2×C4×D4—611no—
905C2×C4×D4—611no—
906C2×#117—611no—
907C2×#117—611no—
908#400—611no—
909#400—611no—
910#399—611no—
911#399—611no—
912#399—611no—
913#399C2×D6111yescharacteristic
914#398—611no—
915#398—611no—
916#398C2×D6111yescharacteristic, complemented
917#398C2×D6111yescharacteristic, complemented
918#397—611no—
919#397—611no—
920#397—611no—
921#397—611no—
922#397—611no—
923#397—611no—
924#396—611no—
925#396—611no—
926#396—611no—
927#396—611no—
928#395—611no—
929#395—611no—
930#395C2×D6111yescharacteristic, complemented
931#395C2×D6111yescharacteristic, complemented
932#394—611no—
933#394—611no—
934#394—611no—
935#394—611no—
936#394—611no—
937#394—611no—
938#394—611no—
939#394—611no—
940#394—611no—
941#394—611no—
942#394—611no—
943#394—611no—
944#394—611no—
945#394—611no—
946#393—611no—
947#393—611no—
948#393—611no—
949#393—611no—
950#393—611no—
951#393C2×D6111yescharacteristic
952#392—611no—
953#392—611no—
954#392—611no—
955#392—611no—
956#391—611no—
957#390—611no—
958#390—611no—
959#390—611no—
960#390—611no—
961#389—611no—
962#389—611no—
963#389—611no—
964#388—611no—
965#388—611no—
966#388—611no—
967#388—611no—
968#388—611no—
969#388—611no—
970#388—611no—
971#388—611no—
972#388C2×D6111yescharacteristic
973#388C2×D6111yescharacteristic
974#387—611no—
975#387—611no—
976#387—611no—
977#387—611no—
978#387—611no—
979#387—611no—
980#387C2×D6111yescharacteristic, complemented
981#387C2×D6111yescharacteristic, complemented
982#386—611no—
983#386—611no—
984#386—611no—
985#386—611no—
986#386—611no—
987#386—611no—
988#386—611no—
989#386—611no—
990#386—611no—
991#386—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#385—611no—
997#385—611no—
998#385—611no—
999#385—611no—
1000#385—611no—
1001#385—611no—
1002#385—611no—
1003#385—611no—
1004#385—611no—
1005#385—611no—
1006#385—611no—
1007#385—611no—
1008#385—611no—
1009#385—611no—
1010#385—611no—
1011#385C2×D6111yescharacteristic
1012#383—611no—
1013#382—611no—
1014#381—611no—
1015#381—611no—
1016#380—611no—
1017#380—611no—
1018#380—611no—
1019#380—611no—
1020#380—611no—
1021#379—611no—
1022#379—611no—
1023#379—611no—
1024C4×C22⋊C4—611no—
1025C2×#95—611no—
1026C61#3671211yescharacteristic, complemented, Sylow
1027C25—611no—
1028C2×#41—1224no—
1029C2×#41—2442no—
1030C2×#41—2442no—
1031C22×Q8—611no—
1032C22×Q8C22×D6111yescharacteristic
1033C22×Q8C22×D6111yescharacteristic
1034C22×Q8C22×D6111yescharacteristic
1035C22×D4—611no—
1036C22×D4—611no—
1037C22×D4—611no—
1038C22×D4—611no—
1039C22×D4—611no—
1040C22×D4—611no—
1041C22×D4—611no—
1042C22×D4—611no—
1043C22×D4—611no—
1044C22×D4—611no—
1045C22×D4—611no—
1046C22×D4—611no—
1047C23×C4—611no—
1048C23×C4—611no—
1049C23×C4—611no—
1050C23×C4—611no—
1051C23×C4—611no—
1052C23×C4—611no—
1053C23×C4—611no—
1054C23×C4—611no—
1055C23×C4—611no—
1056C23×C4—611no—
1057C23×C4—1224no—
1058C23×C4—2442no—
1059C23×C4—2442no—
1060C23×C4C22×D6111yescharacteristic
1061C4⋊Q8—24no—
1062C4⋊Q8—42no—
1063#126—1224no—
1064#126—1224no—
1065#124—1224no—
1066#124—1224no—
1067#124—1224no—
1068#124—2442no—
1069#123—1224no—
1070#123—1224no—
1071#123—1224no—
1072#123—1224no—
1073#123—2442no—
1074C22⋊Q8—24no—
1075C22⋊Q8—42no—
1076C22⋊Q8—1224no—
1077C22⋊Q8—1224no—
1078C22⋊Q8—1224no—
1079C22⋊Q8—1224no—
1080C22⋊Q8—2442no—
1081#121—1224no—
1082#121—1224no—
1083#121—1224no—
1084#121—2442no—
1085#121—2442no—
1086#120—1224no—
1087#120—1224no—
1088#120—2442no—
1089C4×Q8—1224no—
1090C4×D4—618no—
1091C4×D4—1224no—
1092C4×D4—1224no—
1093C4×D4—1224no—
1094#117—1224no—
1095#117—1224no—
1096C2×C4⋊C4—611no—
1097C2×C4⋊C4—611no—
1098C2×C4⋊C4—611no—
1099C2×C4⋊C4—611no—
1100C2×C4⋊C4—611no—
1101C2×C4⋊C4—611no—
1102C2×C4⋊C4—611no—
1103C2×C4⋊C4—611no—
1104C2×C4⋊C4—611no—
1105C2×C4⋊C4—611no—
1106C2×C4⋊C4—611no—
1107C2×C4⋊C4—611no—
1108C2×C4⋊C4—611no—
1109C2×C4⋊C4—611no—
1110C2×C4⋊C4—611no—
1111C2×C4⋊C4—611no—
1112C2×C4⋊C4—611no—
1113C2×C4⋊C4—611no—
1114C2×C4⋊C4—611no—
1115C2×C4⋊C4C22×D6111yescharacteristic
1116C2×C4⋊C4C22×D6111yescharacteristic
1117C2×C4⋊C4C22×D6111yescharacteristic
1118C2×C4⋊C4C22×D6111yescharacteristic
1119C2×C4⋊C4C22×D6111yescharacteristic
1120C2×C4⋊C4C22×D6111yescharacteristic
1121C2×C4⋊C4C22×D6111yescharacteristic
1122C2×C4⋊C4C22×D6111yescharacteristic
1123C2×C4⋊C4C22×D6111yescharacteristic
1124C2×C4⋊C4C22×D6111yescharacteristic
1125C2×C4⋊C4C22×D6111yescharacteristic
1126C2×C4⋊C4C22×D6111yescharacteristic
1127C2×C4⋊C4C22×D6111yescharacteristic
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—611no—
1138C2×C22⋊C4—611no—
1139C2×C22⋊C4—611no—
1140C2×C22⋊C4—611no—
1141C2×C22⋊C4—611no—
1142C2×C22⋊C4—611no—
1143C2×C22⋊C4—611no—
1144C2×C22⋊C4—611no—
1145C2×C22⋊C4—611no—
1146C2×C22⋊C4—611no—
1147C2×C22⋊C4—611no—
1148C2×C22⋊C4—611no—
1149C2×C22⋊C4—611no—
1150C2×C22⋊C4—611no—
1151C2×C22⋊C4—611no—
1152C2×C22⋊C4—611no—
1153C2×C22⋊C4—611no—
1154C2×C22⋊C4—611no—
1155C2×C22⋊C4—611no—
1156C2×C22⋊C4—611no—
1157C2×C22⋊C4—611no—
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⋊C4C22×D6111yescharacteristic
1175C2×C22⋊C4C22×D6111yescharacteristic
1176C2×C22⋊C4C22×D6111yescharacteristic
1177C2×C22⋊C4C22×D6111yescharacteristic
1178C2×C22⋊C4C22×D6111yescharacteristic
1179C2×C22⋊C4C22×D6111yescharacteristic
1180C2×C42—611no—
1181C2×C42—611no—
1182C2×C42—611no—
1183C2×C42—611no—
1184C2×C42—611no—
1185C2×C42C22×D6111yescharacteristic
1186C2×C42C22×D6111yescharacteristic
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95—611no—
1191#95—611no—
1192#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196#95—611no—
1197#95—611no—
1198#95—611no—
1199#95—611no—
1200#95—611no—
1201#95—611no—
1202#95—611no—
1203#95—611no—
1204#95—611no—
1205#95—611no—
1206#95—611no—
1207#95—611no—
1208#95—611no—
1209#95—611no—
1210#95—611no—
1211#95—611no—
1212#95—611no—
1213#95C22×D6111yescharacteristic
1214#95C22×D6111yescharacteristic
1215#95C22×D6111yescharacteristic
1216#95C22×D6111yescharacteristic
1217#95C22×D6111yescharacteristic
1218#95C22×D6111yescharacteristic
1219#95C22×D6111yescharacteristic
1220#95C22×D6111yescharacteristic
1221#95C22×D6111yescharacteristic
1222#95C22×D6111yescharacteristic
1223C24—611no—
1224C24—611no—
1225C24—611no—
1226C24—611no—
1227C24—611no—
1228C24—1222no—
1229C24—1222no—
1230C24—1222no—
1231C24—2441no—
1232C24—2441no—
1233C24—2441no—
1234C24—2441no—
1235C24C23×D6111yescharacteristic
1236#41—24416no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—41no—
1242C2×Q8—41no—
1243C2×Q8—41no—
1244C2×Q8—41no—
1245C2×Q8—41no—
1246C2×Q8—1222no—
1247C2×Q8—2441no—
1248C2×Q8—2441no—
1249C2×D4—614no—
1250C2×D4—1222no—
1251C2×D4—1222no—
1252C2×D4—1222no—
1253C2×D4—1222no—
1254C2×D4—1222no—
1255C2×D4—1222no—
1256C2×D4—1222no—
1257C2×D4—1222no—
1258C2×D4—1222no—
1259C2×D4—1222no—
1260C2×D4—1222no—
1261C2×D4—1222no—
1262C2×D4—1222no—
1263C2×D4—1222no—
1264C2×D4—1222no—
1265C2×D4—2441no—
1266C2×D4—2441no—
1267C2×D4—2441no—
1268C2×D4—2441no—
1269C2×D4—2441no—
1270C2×D4—2441no—
1271C2×D4—2441no—
1272C2×D4—2441no—
1273C2×D4—2441no—
1274C2×D4—2441no—
1275C2×D4—2441no—
1276C2×D4—2441no—
1277C2×D4—2441no—
1278C2×D4—2441no—
1279C2×D4—2441no—
1280C2×D4—2441no—
1281C2×D4—2441no—
1282C2×D4—2441no—
1283C2×D4—2441no—
1284C2×D4—2441no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—41no—
1288C22×C4—611no—
1289C22×C4—611no—
1290C22×C4—614no—
1291C22×C4—614no—
1292C22×C4—611no—
1293C22×C4—611no—
1294C22×C4—611no—
1295C22×C4—611no—
1296C22×C4—611no—
1297C22×C4—611no—
1298C22×C4—611no—
1299C22×C4—611no—
1300C22×C4—611no—
1301C22×C4—1222no—
1302C22×C4—1222no—
1303C22×C4—1222no—
1304C22×C4—1222no—
1305C22×C4—1222no—
1306C22×C4—1222no—
1307C22×C4—1222no—
1308C22×C4—1222no—
1309C22×C4—1222no—
1310C22×C4—1222no—
1311C22×C4—2441no—
1312C22×C4—2441no—
1313C22×C4—2441no—
1314C22×C4—2441no—
1315C22×C4—2441no—
1316C22×C4—2441no—
1317C22×C4—2441no—
1318C22×C4—2441no—
1319C22×C4—2441no—
1320C22×C4—2441no—
1321C22×C4—2441no—
1322C22×C4—2441no—
1323C22×C4—2441no—
1324C22×C4—2441no—
1325C22×C4—2441no—
1326C22×C4—2441no—
1327C22×C4—24416no—
1328C22×C4—2441no—
1329C22×C4—2441no—
1330C22×C4C23×D6111yescharacteristic
1331C22×C4C23×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333C22×C4C23×D6111yescharacteristic
1334C22×C4C23×D6111yescharacteristic
1335C22×C4C23×D6111yescharacteristic
1336C22×C4C23×D6111yescharacteristic
1337C22×C4C23×D6111yescharacteristic
1338C22×C4C23×D6111yescharacteristic
1339C22×C4C23×D6111yescharacteristic
1340C22×C4C23×D6111yescharacteristic
1341C22×C4C23×D6111yescharacteristic
1342C22×C4C23×D6111yescharacteristic
1343C22×C4C23×D6111yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—1222no—
1357C4⋊C4—1222no—
1358C4⋊C4—1222no—
1359C4⋊C4—1222no—
1360C4⋊C4—1222no—
1361C4⋊C4—1222no—
1362C4⋊C4—1222no—
1363C4⋊C4—1222no—
1364C4⋊C4—1222no—
1365C4⋊C4—2441no—
1366C4⋊C4—2441no—
1367C4⋊C4—2441no—
1368C4⋊C4—2441no—
1369C4⋊C4—2441no—
1370C4⋊C4—2441no—
1371C4⋊C4—2441no—
1372C4⋊C4—2441no—
1373C4⋊C4—2441no—
1374C4⋊C4—2441no—
1375C4⋊C4D4×D6114yes—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—614no—
1383C22⋊C4—614no—
1384C22⋊C4—1222no—
1385C22⋊C4—1222no—
1386C22⋊C4—1222no—
1387C22⋊C4—1222no—
1388C22⋊C4—1222no—
1389C22⋊C4—1222no—
1390C22⋊C4—1222no—
1391C22⋊C4—1222no—
1392C22⋊C4—1222no—
1393C22⋊C4—1222no—
1394C22⋊C4—1222no—
1395C22⋊C4—1222no—
1396C22⋊C4—1222no—
1397C22⋊C4—1222no—
1398C22⋊C4—1222no—
1399C22⋊C4—1222no—
1400C22⋊C4—1222no—
1401C22⋊C4—1222no—
1402C22⋊C4—1222no—
1403C22⋊C4—1222no—
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⋊C4—2441no—
1413C22⋊C4—2441no—
1414C22⋊C4—2441no—
1415C22⋊C4—2441no—
1416C22⋊C4—2441no—
1417C22⋊C4—2441no—
1418C22⋊C4—2441no—
1419C22⋊C4—2441no—
1420C22⋊C4—2441no—
1421C22⋊C4—2441no—
1422C22⋊C4—2441no—
1423C22⋊C4—2441no—
1424C22⋊C4—2441no—
1425C22⋊C4—2441no—
1426C22⋊C4—2441no—
1427C22⋊C4—2441no—
1428C42—22no—
1429C42—41no—
1430C42—614no—
1431C42—1222no—
1432C42—1222no—
1433C42—1222no—
1434C42—2441no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—612no—
1442C23—612no—
1443C23—612no—
1444C23—1221no—
1445C23—1221no—
1446C23—1221no—
1447C23—1221no—
1448C23—1221no—
1449C23—1221no—
1450C23—1221no—
1451C23—1221no—
1452C23—1221no—
1453C23—1221no—
1454C23—1221no—
1455C23—1221no—
1456C23—1221no—
1457C23—1221no—
1458C23—1221no—
1459C23—1221no—
1460C23—1221no—
1461C23—1221no—
1462C23—1221no—
1463C23—1221no—
1464C23—1221no—
1465C23—1221no—
1466C23—1221no—
1467C23—1221no—
1468C23—1221no—
1469C23—1221no—
1470C23—1221no—
1471C23—1221no—
1472C23—1221no—
1473C23—1221no—
1474C23—1221no—
1475C23—1221no—
1476C23—2444no—
1477C23—2444no—
1478C23—2444no—
1479C23—2444no—
1480C23—2444no—
1481C23—2444no—
1482C23—2444no—
1483C23#1451982512yes—
1484C23C24×D6111yescharacteristic
1485Q8—44no—
1486Q8—82no—
1487Q8—82no—
1488Q8—2444no—
1489D4—4882no—
1490D4—4882no—
1491D4—4882no—
1492D4—4882no—
1493D4—4882no—
1494D4—2444no—
1495D4—2444no—
1496D4—2444no—
1497D4—2444no—
1498D4—2444no—
1499D4—2444no—
1500D4—2444no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—44no—
1540C2×C4—612no—
1541C2×C4—612no—
1542C2×C4—1228no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—1221no—
1564C2×C4—1221no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—4882no—
1575C2×C4—4882no—
1576C2×C4—2444no—
1577C2×C4—2444no—
1578C2×C4—2444no—
1579C2×C4—2444no—
1580C2×C4—2444no—
1581C2×C4—2444no—
1582C2×C4—2444no—
1583C2×C4C2×D4×D6112yes—
1584C2×C4C2×D4×D6112yes—
1585C2×C4C2×D4×D6112yes—
1586C2×C4#1451982212yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—1222no—
1595C22—1222no—
1596C22—1222no—
1597C22—1222no—
1598C22—1222no—
1599C22—1222no—
1600C22—1222no—
1601C22—1222no—
1602C22—1222no—
1603C22—24416no—
1604C22—2441no—
1605C22—2441no—
1606C22—2441no—
1607C22—2441no—
1608C22—2441no—
1609C22—2441no—
1610C22—2441no—
1611C22—2441no—
1612C22—2441no—
1613C22—2441no—
1614C22—2441no—
1615C22—2441no—
1616C22—2441no—
1617C22—2441no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22—2441no—
1630C22C22×D4×D6111yescharacteristic
1631C22H(5,𝔽2)×D6111yescharacteristic
1632C22C2×#1451982211yescharacteristic
1633C22C2×#1451982511yescharacteristic
1634C22#1684059911yescharacteristic
1635C22#1684059911yescharacteristic
1636C22#1684059911yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—1222no—
1652C4—1222no—
1653C4—2441no—
1654C4—2441no—
1655C4—2441no—
1656C4—2441no—
1657C4—2441no—
1658C4—2441no—
1659C4—2441no—
1660C4—2441no—
1661C4—2441no—
1662C2—42no—
1663C2—4881no—
1664C2—4881no—
1665C2—2442no—
1666C2—2442no—
1667C2—2442no—
1668C2#2145915111yescharacteristic
1669C2#2145944711yescharacteristic
1670C2#2145949611yescharacteristic
1671C2#2145999511yescharacteristic
1672C2#2146002911yescharacteristic
1673C2#2146009611yescharacteristic
1674C2#2146011711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2677C2
hypercenter#2677D61
hypocenterC61#36712
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2677

Complements

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

NH ≅ G/Ntype
1. C2×#16840386C2semidirect
2. C2×#16840275C2semidirect
3. #21454114C2semidirect
4. #21454103C2semidirect
5. #21452367C2semidirect
6. #21452360C2semidirect
7. #21452311C2semidirect
8. #21452304C2semidirect
9. #21452269C2semidirect
10. #21452228C2semidirect
11. #21452207C2semidirect
12. #21452200C2semidirect
13. #21452116C2semidirect
14. #21452095C2semidirect
15. #21452095C2semidirect
16. #21452069C2semidirect
17. #21452062C2semidirect
18. #21452039C2semidirect
19. #21452028C2semidirect
20. #21451745C2semidirect
21. #21451669C2semidirect
22. #21451498C2semidirect
23. #21451436C2semidirect
24. #21451399C2semidirect
25. #21451383C2semidirect
26. #21451174C2semidirect
27. #21450996C2semidirect
28. #21449444C2semidirect
29. #21449430C2semidirect
30. #21448451C2semidirect
31. C61×#2677C2semidirect
36. C2×#14519772C22semidirect
39. C2×#14519766C22semidirect
46. C2×#14519762C22semidirect
47. C2×#14519757C22semidirect
51. C2×#14519753C22semidirect
55. C2×#14519752C22semidirect
60. C2×#14519742C22semidirect
66. C2×#14519734C22semidirect
67. #16839703C22semidirect
68. #16839702C22semidirect
70. #16839697C22semidirect
71. #16839697C22semidirect
72. #16839696C22semidirect
73. #16839692C22semidirect
75. #16839691C22semidirect
76. #16839689C22semidirect
81. #16839684C22semidirect
82. #16839684C22semidirect
83. #16839684C22semidirect
84. #16839682C22semidirect
85. #16839681C22semidirect
90. #16839680C22semidirect
95. #16839679C22semidirect
96. #16839679C22semidirect
97. #16839679C22semidirect
101. #16839675C22semidirect
103. #16839673C22semidirect
104. #16839673C22semidirect
109. #16839669C22semidirect
114. #16839657C22semidirect
115. #16839657C22semidirect
116. #16839657C22semidirect
119. #16839653C22semidirect
120. #16839653C22semidirect
124. #16839651C22semidirect
125. #16839648C22semidirect
126. #16839648C22semidirect
127. #16839648C22semidirect
128. #16839644C22semidirect
129. #16839644C22semidirect
130. #16839644C22semidirect
138. #16839640C22semidirect
139. #16839640C22semidirect
140. #16839640C22semidirect
145. #16839636C22semidirect
155. #16839633C22semidirect
156. #16839633C22semidirect
157. #16839633C22semidirect
158. #16839633C22semidirect
159. #16839633C22semidirect
160. #16839629C22semidirect
161. #16839626C22semidirect
165. #16839621C22semidirect
166. #16839621C22semidirect
172. C4×#11758198C22semidirect
173. #95×D61C22semidirect
174. C2×C4⋊Q8×C61C22semidirect
175. C2×C4⋊Q8×C61C22semidirect
179. C61×#398C22semidirect
180. C61×#398C22semidirect
181. C61×#395C22semidirect
182. C61×#395C22semidirect
186. C61×#387C22semidirect
187. C61×#387C22semidirect
245. #14519739D4semidirect
837. #2677D61semidirect
872. C2×C4⋊Q8C2×D61semidirect
873. C2×C4⋊Q8C2×D61semidirect
916. #398C2×D61semidirect
917. #398C2×D61semidirect
930. #395C2×D61semidirect
931. #395C2×D61semidirect
980. #387C2×D61semidirect
981. #387C2×D61semidirect
1026. C61#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#168403862
C2×#168402752
#214541142
#214541032
#214523672
#214523602
#214523112
#214523042
#214522692
#214522282
#214522072
#214522002
#214521162
#214520952
#214520692
#214520622
#214520392
#214520282
#214517452
#214516692
#214514982
#214514362
#214513992
#214513832
#214511742
#214509962
#214494442
#214494302
#214484512
C61×#26772
#3671261