Finite Group Databasebeta

← #29888920

Subgroups — #29888920

Order 15616.

2346 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454114C211yesmaximal, characteristic, complemented
2#21454102C211yesmaximal, characteristic, complemented
3#21453677C211yesmaximal, characteristic, complemented
4#21453533C211yesmaximal, characteristic, complemented
5#21453147C211yesmaximal, characteristic, complemented
6#21453102C211yesmaximal, characteristic, complemented
7#21453082C211yesmaximal, characteristic, complemented
8#21453049C211yesmaximal, characteristic, complemented
9#21452914C211yesmaximal, characteristic, complemented
10#21452551C211yesmaximal, characteristic, complemented
11#21452551C211yesmaximal, characteristic, complemented
12#21452509C211yesmaximal, characteristic, complemented
13#21452461C211yesmaximal, characteristic, complemented
14#21452405C211yesmaximal, characteristic, complemented
15#21452262C211yesmaximal, characteristic, complemented
16#21452088C211yesmaximal, characteristic, complemented
17#21452088C211yesmaximal, characteristic, complemented
18#21452062C211yesmaximal, characteristic, complemented
19#21451597C211yesmaximal, characteristic, complemented
20#21451556C211yesmaximal, characteristic, complemented
21#21450779C211yesmaximal, characteristic, complemented
22#21449456C211yesmaximal, characteristic, complemented
23#21449353C211yesmaximal, characteristic, complemented
24#21449353C211yesmaximal, characteristic, complemented
25#21449287C211yesmaximal, characteristic, complemented
26#21449287C211yesmaximal, characteristic, complemented
27#21449176C211yesmaximal, characteristic, complemented
28#21448519C211yesmaximal, characteristic, complemented
29#21448446C211yesmaximal, characteristic, complemented
30C2×#16839640C211yesmaximal, characteristic, complemented
31C61×#2569C211yesmaximal, characteristic, complemented
32C23×D244C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C2×#14519774C2211yescharacteristic
35C2×#14519774C2211yescharacteristic
36C2×#14519762C2211yescharacteristic, complemented
37C2×#14519762C2211yescharacteristic, complemented
38C2×#14519762C2211yescharacteristic, complemented
39C2×#14519762C2211yescharacteristic, complemented
40C2×#14519752C2211yescharacteristic
41C2×#14519752C2211yescharacteristic
42C2×#14519752C2211yescharacteristic, complemented
43C2×#14519752C2211yescharacteristic, complemented
44C2×#14519752C2211yescharacteristic, complemented
45C2×#14519752C2211yescharacteristic, complemented
46C2×#14519751C2211yescharacteristic
47C2×#14519751C2211yescharacteristic
48C2×#14519751C2211yescharacteristic
49C2×#14519747C2211yescharacteristic
50C2×#14519747C2211yescharacteristic
51C2×#14519747C2211yescharacteristic
52C2×#14519747C2211yescharacteristic
53C2×#14519747C2211yescharacteristic
54C2×#14519747C2211yescharacteristic
55C2×C4×C22⋊D61C2211yescharacteristic
56C2×#14519737C2211yescharacteristic
57C2×#14519737C2211yescharacteristic
58C22×#11758198C2211yescharacteristic
59C22×#11758198C2211yescharacteristic
60C22×#11758198C2211yescharacteristic
61#16839697C2211yescharacteristic, complemented
62#16839697C2211yescharacteristic, complemented
63#16839694C2211yescharacteristic, complemented
64#16839691C2211yescharacteristic, complemented
65#16839691C2211yescharacteristic, complemented
66#16839691C2211yescharacteristic, complemented
67#16839691C2211yescharacteristic, complemented
68#16839689C2211yescharacteristic, complemented
69#16839689C2211yescharacteristic, complemented
70#16839689C2211yescharacteristic, complemented
71#16839688C2211yescharacteristic, complemented
72#16839688C2211yescharacteristic, complemented
73#16839684C2211yescharacteristic, complemented
74#16839684C2211yescharacteristic, complemented
75#16839680C2211yescharacteristic
76#16839680C2211yescharacteristic
77#16839680C2211yescharacteristic, complemented
78#16839680C2211yescharacteristic, complemented
79#16839680C2211yescharacteristic, complemented
80#16839680C2211yescharacteristic, complemented
81#16839680C2211yescharacteristic, complemented
82#16839680C2211yescharacteristic, complemented
83#16839680C2211yescharacteristic, complemented
84#16839679C2211yescharacteristic, complemented
85#16839679C2211yescharacteristic, complemented
86#16839679C2211yescharacteristic, complemented
87#16839679C2211yescharacteristic, complemented
88#16839679C2211yescharacteristic, complemented
89#16839679C2211yescharacteristic, complemented
90#16839679C2211yescharacteristic, complemented
91#16839679C2211yescharacteristic, complemented
92#16839679C2211yescharacteristic, complemented
93#16839679C2211yescharacteristic, complemented
94#16839672C2211yescharacteristic
95#16839672C2211yescharacteristic
96#16839672C2211yescharacteristic
97#16839672C2211yescharacteristic
98#16839672C2211yescharacteristic
99#16839672C2211yescharacteristic
100#16839672C2211yescharacteristic, complemented
101#16839672C2211yescharacteristic, complemented
102#16839672C2211yescharacteristic, complemented
103#16839672C2211yescharacteristic, complemented
104#16839672C2211yescharacteristic, complemented
105#16839664C2211yescharacteristic
106#16839664C2211yescharacteristic
107#16839663C2211yescharacteristic
108#16839663C2211yescharacteristic
109#16839663C2211yescharacteristic, complemented
110#16839663C2211yescharacteristic, complemented
111#16839654C2211yescharacteristic, complemented
112#16839654C2211yescharacteristic, complemented
113#16839654C2211yescharacteristic, complemented
114#16839654C2211yescharacteristic, complemented
115#16839653C2211yescharacteristic, complemented
116#16839653C2211yescharacteristic, complemented
117#16839652C2211yescharacteristic, complemented
118#16839652C2211yescharacteristic, complemented
119#16839652C2211yescharacteristic, complemented
120#16839652C2211yescharacteristic, complemented
121#16839651C2211yescharacteristic, complemented
122#16839651C2211yescharacteristic, complemented
123#16839646C2211yescharacteristic, complemented
124#16839646C2211yescharacteristic, complemented
125#16839645C2211yescharacteristic, complemented
126#16839645C2211yescharacteristic, complemented
127#16839641C2211yescharacteristic
128#16839641C2211yescharacteristic
129#16839640C2211yescharacteristic
130#16839640C2211yescharacteristic
131#16839640C2211yescharacteristic
132#16839640C2211yescharacteristic
133#16839640C2211yescharacteristic
134#16839640C2211yescharacteristic
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic
137#16839640C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839640C2211yescharacteristic, complemented
140#16839640C2211yescharacteristic, complemented
141#16839640C2211yescharacteristic, complemented
142#16839640C2211yescharacteristic, complemented
143#16839640C2211yescharacteristic, complemented
144#16839640C2211yescharacteristic, complemented
145#16839640C2211yescharacteristic, complemented
146#16839640C2211yescharacteristic, complemented
147#16839640C2211yescharacteristic, complemented
148#16839640C2211yescharacteristic, complemented
149#16839640C2211yescharacteristic, complemented
150#16839640C2211yescharacteristic, complemented
151#16839639C2211yescharacteristic
152#16839639C2211yescharacteristic
153#16839639C2211yescharacteristic
154#16839639C2211yescharacteristic
155#16839634C2211yescharacteristic
156#16839634C2211yescharacteristic
157#16839633C2211yescharacteristic, complemented
158#16839633C2211yescharacteristic, complemented
159#16839633C2211yescharacteristic, complemented
160#16839633C2211yescharacteristic, complemented
161#16839629C2211yescharacteristic, complemented
162#16839626C2211yescharacteristic, complemented
163#16839624C2211yescharacteristic, complemented
164#16839624C2211yescharacteristic, complemented
165#16839624C2211yescharacteristic, complemented
166#16839621C2211yescharacteristic, complemented
167#16839619C2211yescharacteristic, complemented
168#16839619C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic
170#16839617C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C61×#400C2211yescharacteristic, complemented
173C61×#400C2211yescharacteristic, complemented
174C61×#398C2211yescharacteristic, complemented
175C61×#398C2211yescharacteristic, complemented
176C61×#387C2211yescharacteristic, complemented
177C61×#387C2211yescharacteristic, complemented
178C61×#387C2211yescharacteristic, complemented
179C61×#387C2211yescharacteristic, complemented
180C61×#385C2211yescharacteristic
181C61×#385C2211yescharacteristic
182C61×#380C2211yescharacteristic
183C61×#380C2211yescharacteristic
184C61×#380C2211yescharacteristic
185C4×C22⋊C4×C61C2211yescharacteristic
186C2×#95×C61C2211yescharacteristic
187C24×D61C2311yescharacteristic
188C24×D61C2311yescharacteristic
189C22×D244—24no—
190C22×D244—42no—
191C22×D244—42no—
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×D244C2311yescharacteristic
203C22×D244C2311yescharacteristic
204C22×D244C2311yescharacteristic
205C22×D244C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C22×D244C2311yescharacteristic
210C22×D244C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C23×Dic61C2311yescharacteristic
216C22×C4×D61—42no—
217C22×C4×D61—42no—
218C22×C4×D61—42no—
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226#14519774—42no—
227#14519774—42no—
228#14519762—42no—
229#14519762—42no—
230#14519762—42no—
231#14519762—42no—
232#14519752—42no—
233#14519752—42no—
234#14519752—42no—
235#14519752—42no—
236#14519752—42no—
237#14519752—42no—
238#14519751—24no—
239#14519751—42no—
240#14519751—42no—
241#14519747—42no—
242#14519747—42no—
243#14519747—42no—
244#14519747—42no—
245#14519747—42no—
246#14519747—42no—
247C4×C22⋊D61—24no—
248#14519737—42no—
249#14519737—42no—
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×#11758198—42no—
262C2×#11758198—42no—
263C2×#11758198—42no—
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#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×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
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
340C23×C4×C61C2311yescharacteristic
341C23×C4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343C2×C4⋊C4×C61C2311yescharacteristic
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C4⋊C4×C61C2311yescharacteristic
352C2×C4⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C42×C61C2311yescharacteristic
358C2×C42×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375C24×C61C2411yescharacteristic
376C23×D61—22no—
377C23×D61—22no—
378C23×D61—22no—
379C23×D61—22no—
380C23×D61—22no—
381C23×D61—22no—
382C23×D61—22no—
383C23×D61—22no—
384C23×D61—41no—
385C23×D61—41no—
386C23×D61—41no—
387C23×D61—41no—
388C23×D61—41no—
389C23×D61—41no—
390C23×D61C2411yescharacteristic
391C23×D61C2411yescharacteristic
392C23×D61C2411yescharacteristic
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C22×C4×C61—22no—
398C22×C4×C61—22no—
399C22×C4×C61—22no—
400C22×C4×C61—41no—
401C22×C4×C61—41no—
402C22×C4×C61—41no—
403C22×C4×C61—41no—
404C22×C4×C61—41no—
405C22×C4×C61#4114yes—
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
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
420C2×C22⋊D61—22no—
421C2×C22⋊D61—22no—
422C2×C22⋊D61—22no—
423C2×C22⋊D61—22no—
424C2×C22⋊D61—22no—
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C22×Dic61—22no—
430C22×Dic61—22no—
431C22×Dic61—41no—
432C22×Dic61—41no—
433C22×Dic61—41no—
434C22×Dic61—41no—
435C22×Dic61C2411yescharacteristic
436C22×Dic61C2411yescharacteristic
437C22×Dic61C2411yescharacteristic
438C22×Dic61C2411yescharacteristic
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C2×D244—22no—
445C2×D244—22no—
446C2×D244—22no—
447C2×D244—22no—
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—22no—
459C2×D244—22no—
460C2×D244—41no—
461C2×D244—41no—
462C2×D244—41no—
463C2×D244—41no—
464C2×D244—416no—
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×D244—41no—
475C2×D244—41no—
476C2×D244—41no—
477C2×D244—41no—
478C2×D244—41no—
479C2×D244—41no—
480C2×D244—41no—
481C2×D244—41no—
482C2×D244—41no—
483C2×D244—41no—
484C2×D244—41no—
485C2×D244—41no—
486C2×D244—41no—
487C2×D244—41no—
488C2×D244—41no—
489C2×D244—41no—
490C2×D244—41no—
491C2×D244—41no—
492C2×D244—41no—
493C2×D244—41no—
494C2×D244—41no—
495C2×D244—41no—
496C2×D244—41no—
497C2×D244—41no—
498C2×D244—41no—
499C2×D244—41no—
500C2×D244—41no—
501C2×D244—41no—
502C2×C4×D61—22no—
503C2×C4×D61—22no—
504C2×C4×D61—22no—
505C2×C4×D61—22no—
506C2×C4×D61—22no—
507C2×C4×D61—41no—
508C2×C4×D61—41no—
509C2×C4×D61—41no—
510C2×C4×D61—41no—
511C2×C4×D61—41no—
512C2×C4×D61—41no—
513C2×C4×D61—41no—
514C2×C4×D61—41no—
515C2×C4×D61—416no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C4⋊C4×C61—22no—
525C4⋊C4×C61—22no—
526C4⋊C4×C61—41no—
527C4⋊C4×C61—41no—
528C4⋊C4×C61—41no—
529C4⋊C4×C61—41no—
530C4⋊C4×C61—41no—
531C4⋊C4×C61—41no—
532C4⋊C4×C61—41no—
533C4⋊C4×C61—41no—
534C22⋊C4×C61—22no—
535C22⋊C4×C61—22no—
536C22⋊C4×C61—22no—
537C22⋊C4×C61—22no—
538C42×C61—41no—
539C42×C61—41no—
540C22⋊Dic61—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—22no—
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#11758198—41no—
572#11758198—41no—
573#11758198—41no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578#11758198—41no—
579#11758198—41no—
580#11758198—41no—
581#11758198—41no—
582#11758198—41no—
583#11758198—41no—
584#11758198—41no—
585#11758198—41no—
586#11758198—41no—
587#11758198—41no—
588#11758198—41no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592#11758198—41no—
593#11758198—41no—
594C4⋊Dic61—22no—
595C4⋊Dic61—41no—
596C4⋊Dic61—41no—
597#11758196—22no—
598#11758196—41no—
599#11758196—41no—
600#11758196—41no—
601#11758196—41no—
602#11758196—41no—
603#11758196—41no—
604C4×Dic61—22no—
605C4×Dic61—41no—
606C4×Dic61—41no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61C2×#4112yes—
612C23×C61H(5,𝔽2)12yes—
613C23×C61H(5,𝔽2)12yes—
614C23×C61C2511yescharacteristic
615C22×D61—28no—
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—21no—
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—21no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—44no—
664C22×D61—44no—
665C22×D61—44no—
666C22×D61—44no—
667C22×D61—44no—
668C22×D61—44no—
669C22×D61—44no—
670C22×D61—44no—
671C22×D61—44no—
672C22×D61—82no—
673C22×D61—82no—
674C22×D61—82no—
675C22×D61—82no—
676C22×D61H(5,𝔽2)12yes—
677C22×D61H(5,𝔽2)12yes—
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—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—44no—
718C2×C4×C61—44no—
719C2×C4×C61—82no—
720C2×C4×C61C2×#4112yes—
721C2×C4×C61C2×#4112yes—
722C2×C4×C61H(5,𝔽2)12yes—
723C22⋊D61—44no—
724C22⋊D61—44no—
725C22⋊D61—44no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—44no—
754C2×Dic61—82no—
755D244—44no—
756D244—44no—
757D244—44no—
758D244—44no—
759D244—82no—
760D244—82no—
761D244—82no—
762D244—82no—
763D244—82no—
764D244—82no—
765D244—82no—
766D244—82no—
767D244—82no—
768D244—82no—
769D244—82no—
770D244—82no—
771D244—82no—
772D244—82no—
773D244—82no—
774C4×D61—44no—
775C4×D61—44no—
776C4×D61—44no—
777C4×D61—44no—
778C4×D61—82no—
779C4×D61—82no—
780C4×D61—82no—
781#36794—611nomaximal, Sylow
782C22×C61—22no—
783C22×C61—22no—
784C22×C61—22no—
785C22×C61—22no—
786C22×C61—22no—
787C22×C61—22no—
788C22×C61#54014yes—
789C22×C61C22×#4111yescharacteristic
790C22×C61C2×H(5,𝔽2)11yescharacteristic
791C22×C61C2×H(5,𝔽2)11yescharacteristic
792C22×C61C2×H(5,𝔽2)11yescharacteristic
793C22×C61C2×H(5,𝔽2)11yescharacteristic
794C22×C61C2×H(5,𝔽2)11yescharacteristic
795C22×C61#58511yescharacteristic
796C2×D61—22no—
797C2×D61—22no—
798C2×D61—22no—
799C2×D61—22no—
800C2×D61—22no—
801C2×D61—22no—
802C2×D61—416no—
803C2×D61—41no—
804C2×D61—41no—
805C2×D61—41no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—41no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—88no—
847C4×C61—22no—
848C4×C61—22no—
849C4×C61—22no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855C4×C61—41no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61—41no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870#2849—611no—
871#2847—611no—
872#2797—611no—
873#2786—611no—
874#2756—611no—
875#2753—611no—
876#2752—611no—
877#2749—611no—
878#2740—611no—
879#2709—611no—
880#2709—611no—
881#2706—611no—
882#2703—611no—
883#2699—611no—
884#2688—611no—
885#2673—611no—
886#2673—611no—
887#2671—611no—
888#2622—611no—
889#2617—611no—
890#2569D6111yescharacteristic, complemented
891#2543—611no—
892#2433—611no—
893#2424—611no—
894#2424—611no—
895#2418—611no—
896#2418—611no—
897#2408—611no—
898#2325—611no—
899#2318—611no—
900C2×#386—611no—
901C2×C61—24no—
902C2×C61C2×#54011yescharacteristic
903C2×C61#349011yescharacteristic
904C2×C61#350611yescharacteristic
905C2×C61#353211yescharacteristic
906C2×C61#353411yescharacteristic
907C2×C61#353411yescharacteristic
908C2×C61#353711yescharacteristic
909D61—42no—
910D61—42no—
911D61—81no—
912D61—81no—
913D61—81no—
914D61—81no—
915D61—81no—
916C23×D4—611no—
917C24×C4—611no—
918C2×#127—611no—
919C2×#127—611no—
920C2×#123—611no—
921C2×#123—611no—
922C2×#123—611no—
923C2×#123—611no—
924C2×#121—611no—
925C2×#121—611no—
926C2×#121—611no—
927C2×#121—611no—
928C2×#121—611no—
929C2×#121—611no—
930C2×#121—611no—
931C2×#121—611no—
932C2×#121—611no—
933C2×#120—611no—
934C2×#120—611no—
935C2×#120—611no—
936C2×#120—611no—
937C2×#120—611no—
938C2×#120—611no—
939C2×C4×D4—611no—
940C2×C4×D4—611no—
941C2×C4×D4—611no—
942C22×C22⋊C4—611no—
943C22×C22⋊C4—611no—
944C22×C22⋊C4—611no—
945#400C2×D6111yescharacteristic, complemented
946#400C2×D6111yescharacteristic, complemented
947#399—611no—
948#399—611no—
949#398—611no—
950#398C2×D6111yescharacteristic, complemented
951#398C2×D6111yescharacteristic, complemented
952#397—611no—
953#397—611no—
954#397—611no—
955#397—611no—
956#397—611no—
957#397—611no—
958#397—611no—
959#397—611no—
960#397—611no—
961#396—611no—
962#396—611no—
963#394—611no—
964#394—611no—
965#394—611no—
966#394—611no—
967#394—611no—
968#394—611no—
969#394—611no—
970#394—611no—
971#394—611no—
972#394—611no—
973#394—611no—
974#394—611no—
975#394—611no—
976#394—611no—
977#394—611no—
978#394—611no—
979#394—611no—
980#394—611no—
981#394—611no—
982#392—611no—
983#392—611no—
984#392—611no—
985#392—611no—
986#392—611no—
987#392—611no—
988#392—611no—
989#392—611no—
990#392—611no—
991#392—611no—
992#392—611no—
993#390—611no—
994#390—611no—
995#390—611no—
996#390—611no—
997#390—611no—
998#390—611no—
999#388—611no—
1000#388—611no—
1001#388—611no—
1002#388—611no—
1003#388—611no—
1004#388—611no—
1005#388—611no—
1006#388—611no—
1007#388—611no—
1008#388—611no—
1009#388—611no—
1010#388—611no—
1011#387—611no—
1012#387—611no—
1013#387—611no—
1014#387—611no—
1015#387C2×D6111yescharacteristic, complemented
1016#387C2×D6111yescharacteristic, complemented
1017#387C2×D6111yescharacteristic, complemented
1018#387C2×D6111yescharacteristic, complemented
1019#386—611no—
1020#386—611no—
1021#386—611no—
1022#386—611no—
1023#386—611no—
1024#386—611no—
1025#386—611no—
1026#386—611no—
1027#386—611no—
1028#386—611no—
1029#386—611no—
1030#386—611no—
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386—611no—
1035#386—611no—
1036#386—611no—
1037#386—611no—
1038#386—611no—
1039#386—611no—
1040#386—611no—
1041#386—611no—
1042#386—611no—
1043#386—611no—
1044#386—611no—
1045#386—611no—
1046#386—611no—
1047#385—611no—
1048#385—611no—
1049#385—611no—
1050#385—611no—
1051#385—611no—
1052#385—611no—
1053#385C2×D6111yescharacteristic
1054#385C2×D6111yescharacteristic
1055#383—611no—
1056#382—611no—
1057#381—611no—
1058#381—611no—
1059#381—611no—
1060#380—611no—
1061#380—611no—
1062#380—611no—
1063#380C2×D6111yescharacteristic
1064#380C2×D6111yescharacteristic
1065#380C2×D6111yescharacteristic
1066#379—611no—
1067#379—611no—
1068C4×C22⋊C4C2×D6111yescharacteristic
1069C2×#95—611no—
1070C2×#95C2×D6111yescharacteristic
1071C61#3679411yescharacteristic, complemented, Sylow
1072C25—611no—
1073C25—611no—
1074C22×D4—611no—
1075C22×D4—611no—
1076C22×D4—611no—
1077C22×D4—611no—
1078C22×D4—611no—
1079C22×D4—611no—
1080C22×D4—611no—
1081C22×D4—611no—
1082C22×D4—611no—
1083C22×D4—611no—
1084C22×D4—611no—
1085C22×D4—611no—
1086C22×D4—611no—
1087C22×D4—611no—
1088C22×D4—611no—
1089C22×D4—611no—
1090C22×D4—611no—
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—611no—
1095C22×D4—611no—
1096C22×D4—1224no—
1097C22×D4—2442no—
1098C22×D4—2442no—
1099C23×C4—611no—
1100C23×C4—611no—
1101C23×C4—611no—
1102C23×C4—611no—
1103C23×C4—611no—
1104C23×C4—611no—
1105C23×C4—611no—
1106C23×C4—611no—
1107C23×C4—611no—
1108C23×C4—2442no—
1109C23×C4—2442no—
1110C23×C4—2442no—
1111C23×C4C22×D6111yescharacteristic
1112C23×C4C22×D6111yescharacteristic
1113C23×C4C22×D6111yescharacteristic
1114#127—2442no—
1115#127—2442no—
1116#123—2442no—
1117#123—2442no—
1118#123—2442no—
1119#123—2442no—
1120#121—1224no—
1121#121—2442no—
1122#121—2442no—
1123#121—2442no—
1124#121—2442no—
1125#121—2442no—
1126#121—2442no—
1127#121—2442no—
1128#121—2442no—
1129#120—2442no—
1130#120—2442no—
1131#120—2442no—
1132#120—2442no—
1133#120—2442no—
1134#120—2442no—
1135C4×D4—1224no—
1136C4×D4—2442no—
1137C4×D4—2442no—
1138C2×C4⋊C4—611no—
1139C2×C4⋊C4—611no—
1140C2×C4⋊C4—611no—
1141C2×C4⋊C4—611no—
1142C2×C4⋊C4—611no—
1143C2×C4⋊C4—611no—
1144C2×C4⋊C4—611no—
1145C2×C4⋊C4—611no—
1146C2×C4⋊C4—611no—
1147C2×C4⋊C4—611no—
1148C2×C4⋊C4C22×D6111yescharacteristic
1149C2×C4⋊C4C22×D6111yescharacteristic
1150C2×C4⋊C4C22×D6111yescharacteristic
1151C2×C4⋊C4C22×D6111yescharacteristic
1152C2×C4⋊C4C22×D6111yescharacteristic
1153C2×C4⋊C4C22×D6111yescharacteristic
1154C2×C4⋊C4C22×D6111yescharacteristic
1155C2×C4⋊C4C22×D6111yescharacteristic
1156C2×C4⋊C4C22×D6111yescharacteristic
1157C2×C4⋊C4C22×D6111yescharacteristic
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—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⋊C4—2442no—
1214C2×C22⋊C4—2442no—
1215C2×C22⋊C4C22×D6111yescharacteristic
1216C2×C22⋊C4C22×D6111yescharacteristic
1217C2×C22⋊C4C22×D6111yescharacteristic
1218C2×C22⋊C4C22×D6111yescharacteristic
1219C2×C42—611no—
1220C2×C42—611no—
1221C2×C42—611no—
1222C2×C42C22×D6111yescharacteristic
1223C2×C42C22×D6111yescharacteristic
1224#95—611no—
1225#95—611no—
1226#95—611no—
1227#95—611no—
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#95—611no—
1234#95—611no—
1235#95—611no—
1236#95—611no—
1237#95—611no—
1238#95—611no—
1239#95—611no—
1240#95—611no—
1241#95—611no—
1242#95—611no—
1243#95—611no—
1244#95C22×D6111yescharacteristic
1245#95C22×D6111yescharacteristic
1246#95C22×D6111yescharacteristic
1247#95C22×D6111yescharacteristic
1248#95C22×D6111yescharacteristic
1249#95C22×D6111yescharacteristic
1250#95C22×D6111yescharacteristic
1251#95C22×D6111yescharacteristic
1252#95C22×D6111yescharacteristic
1253#95C22×D6111yescharacteristic
1254#95C22×D6111yescharacteristic
1255#95C22×D6111yescharacteristic
1256#95C22×D6111yescharacteristic
1257#95C22×D6111yescharacteristic
1258#95C22×D6111yescharacteristic
1259#95C22×D6111yescharacteristic
1260C24—611no—
1261C24—611no—
1262C24—611no—
1263C24—611no—
1264C24—611no—
1265C24—611no—
1266C24—611no—
1267C24—1222no—
1268C24—1222no—
1269C24—1222no—
1270C24—1222no—
1271C24—1222no—
1272C24—1222no—
1273C24—1222no—
1274C24—1222no—
1275C24—2441no—
1276C24—2441no—
1277C24—2441no—
1278C24—2441no—
1279C24—2441no—
1280C24—2441no—
1281C24C23×D6111yescharacteristic
1282C2×D4—1222no—
1283C2×D4—1222no—
1284C2×D4—1222no—
1285C2×D4—1222no—
1286C2×D4—1222no—
1287C2×D4—1222no—
1288C2×D4—1222no—
1289C2×D4—1222no—
1290C2×D4—1222no—
1291C2×D4—1222no—
1292C2×D4—1222no—
1293C2×D4—1222no—
1294C2×D4—1222no—
1295C2×D4—1222no—
1296C2×D4—1222no—
1297C2×D4—1222no—
1298C2×D4—1222no—
1299C2×D4—1222no—
1300C2×D4—1222no—
1301C2×D4—1222no—
1302C2×D4—1222no—
1303C2×D4—1222no—
1304C2×D4—1222no—
1305C2×D4—1222no—
1306C2×D4—1222no—
1307C2×D4—2441no—
1308C2×D4—2441no—
1309C2×D4—2441no—
1310C2×D4—2441no—
1311C2×D4—2441no—
1312C2×D4—2441no—
1313C2×D4—2441no—
1314C2×D4—2441no—
1315C2×D4—2441no—
1316C2×D4—2441no—
1317C2×D4—2441no—
1318C2×D4—2441no—
1319C2×D4—2441no—
1320C2×D4—2441no—
1321C2×D4—2441no—
1322C2×D4—2441no—
1323C2×D4—2441no—
1324C2×D4—2441no—
1325C2×D4—2441no—
1326C2×D4—2441no—
1327C2×D4—2441no—
1328C2×D4—2441no—
1329C2×D4—2441no—
1330C2×D4—2441no—
1331C2×D4—2441no—
1332C2×D4—2441no—
1333C2×D4—2441no—
1334C2×D4—2441no—
1335C2×D4—2441no—
1336C2×D4—2441no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4—2441no—
1340C2×D4—2441no—
1341C2×D4—2441no—
1342C2×D4—2441no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—2441no—
1348C2×D4—24416no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—1222no—
1367C22×C4—1222no—
1368C22×C4—1222no—
1369C22×C4—1222no—
1370C22×C4—1222no—
1371C22×C4—1222no—
1372C22×C4—1222no—
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×C4—2441no—
1388C22×C4—2441no—
1389C22×C4—24416no—
1390C22×C4—2441no—
1391C22×C4—2441no—
1392C22×C4—2441no—
1393C22×C4—2441no—
1394C22×C4#1175822614yes—
1395C22×C4C23×D6111yescharacteristic
1396C22×C4C23×D6111yescharacteristic
1397C22×C4C23×D6111yescharacteristic
1398C22×C4C23×D6111yescharacteristic
1399C22×C4C23×D6111yescharacteristic
1400C22×C4C23×D6111yescharacteristic
1401C22×C4C23×D6111yescharacteristic
1402C22×C4C23×D6111yescharacteristic
1403C22×C4C23×D6111yescharacteristic
1404C22×C4C23×D6111yescharacteristic
1405C22×C4C23×D6111yescharacteristic
1406C22×C4C23×D6111yescharacteristic
1407C22×C4C23×D6111yescharacteristic
1408C22×C4C23×D6111yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—1222no—
1420C4⋊C4—1222no—
1421C4⋊C4—2441no—
1422C4⋊C4—2441no—
1423C4⋊C4—2441no—
1424C4⋊C4—2441no—
1425C4⋊C4—2441no—
1426C4⋊C4—2441no—
1427C4⋊C4—2441no—
1428C4⋊C4—2441no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—1222no—
1434C22⋊C4—1222no—
1435C22⋊C4—1222no—
1436C22⋊C4—1222no—
1437C22⋊C4—1222no—
1438C22⋊C4—1222no—
1439C22⋊C4—1222no—
1440C22⋊C4—1222no—
1441C22⋊C4—1222no—
1442C22⋊C4—1222no—
1443C22⋊C4—1222no—
1444C22⋊C4—2441no—
1445C22⋊C4—2441no—
1446C22⋊C4—2441no—
1447C22⋊C4—2441no—
1448C22⋊C4—2441no—
1449C22⋊C4—2441no—
1450C22⋊C4—2441no—
1451C22⋊C4—2441no—
1452C22⋊C4—2441no—
1453C22⋊C4—2441no—
1454C22⋊C4—2441no—
1455C22⋊C4—2441no—
1456C22⋊C4—2441no—
1457C22⋊C4—2441no—
1458C22⋊C4—2441no—
1459C22⋊C4—2441no—
1460C22⋊C4—2441no—
1461C22⋊C4—2441no—
1462C22⋊C4—2441no—
1463C22⋊C4—2441no—
1464C22⋊C4—2441no—
1465C22⋊C4—2441no—
1466C22⋊C4—2441no—
1467C22⋊C4—2441no—
1468C22⋊C4—2441no—
1469C22⋊C4—2441no—
1470C22⋊C4—2441no—
1471C22⋊C4—2441no—
1472C22⋊C4—2441no—
1473C22⋊C4—2441no—
1474C22⋊C4—2441no—
1475C22⋊C4—2441no—
1476C22⋊C4—2441no—
1477C22⋊C4—2441no—
1478C22⋊C4—2441no—
1479C22⋊C4—2441no—
1480C22⋊C4—2441no—
1481C22⋊C4—2441no—
1482C22⋊C4—2441no—
1483C22⋊C4—2441no—
1484C22⋊C4—2441no—
1485C22⋊C4—2441no—
1486C22⋊C4—2441no—
1487C42—41no—
1488C42—41no—
1489C42—1222no—
1490C42—2441no—
1491C42—2441no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—612no—
1497C23—612no—
1498C23—1228no—
1499C23—1221no—
1500C23—1221no—
1501C23—1221no—
1502C23—1221no—
1503C23—1221no—
1504C23—1221no—
1505C23—1221no—
1506C23—1221no—
1507C23—1221no—
1508C23—1221no—
1509C23—1221no—
1510C23—1221no—
1511C23—1221no—
1512C23—1221no—
1513C23—1221no—
1514C23—1221no—
1515C23—1221no—
1516C23—1221no—
1517C23—1221no—
1518C23—1221no—
1519C23—1221no—
1520C23—1221no—
1521C23—1221no—
1522C23—1221no—
1523C23—1221no—
1524C23—1221no—
1525C23—1221no—
1526C23—1221no—
1527C23—1221no—
1528C23—1221no—
1529C23—1221no—
1530C23—1221no—
1531C23—1221no—
1532C23—1221no—
1533C23—1221no—
1534C23—1221no—
1535C23—1221no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—1221no—
1543C23—1221no—
1544C23—1221no—
1545C23—1221no—
1546C23—4882no—
1547C23—4882no—
1548C23—4882no—
1549C23—4882no—
1550C23—2444no—
1551C23—2444no—
1552C23—2444no—
1553C23—2444no—
1554C23—2444no—
1555C23—2444no—
1556C23—2444no—
1557C23—2444no—
1558C23—2444no—
1559C23C2×#1175822612yes—
1560C23#1451982312yes—
1561C23#1451982312yes—
1562C23C24×D6111yescharacteristic
1563D4—4882no—
1564D4—4882no—
1565D4—4882no—
1566D4—4882no—
1567D4—4882no—
1568D4—4882no—
1569D4—4882no—
1570D4—4882no—
1571D4—4882no—
1572D4—4882no—
1573D4—4882no—
1574D4—4882no—
1575D4—4882no—
1576D4—4882no—
1577D4—4882no—
1578D4—2444no—
1579D4—2444no—
1580D4—2444no—
1581D4—2444no—
1582D4—2444no—
1583D4—2444no—
1584D4—2444no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—82no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—4882no—
1655C2×C4—4882no—
1656C2×C4—4882no—
1657C2×C4—4882no—
1658C2×C4—2444no—
1659C2×C4—2444no—
1660C2×C4—2444no—
1661C2×C4—2444no—
1662C2×C4—2444no—
1663C2×C4C2×#1175822612yes—
1664C2×C4C2×#1175822612yes—
1665C2×C4#1451982312yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—1222no—
1673C22—1222no—
1674C22—1222no—
1675C22—1222no—
1676C22—1222no—
1677C22—1222no—
1678C22—4888no—
1679C22—24416no—
1680C22—2441no—
1681C22—2441no—
1682C22—2441no—
1683C22—2441no—
1684C22—2441no—
1685C22—2441no—
1686C22—2441no—
1687C22—2441no—
1688C22—2441no—
1689C22—2441no—
1690C22—2441no—
1691C22—2441no—
1692C22—2441no—
1693C22—2441no—
1694C22—2441no—
1695C22—2441no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22—2441no—
1704C22—2441no—
1705C22—2441no—
1706C22—2441no—
1707C22—2441no—
1708C22—2441no—
1709C22—2441no—
1710C22—2441no—
1711C22—2441no—
1712C22—2441no—
1713C22—2441no—
1714C22—2441no—
1715C22—2441no—
1716C22—2441no—
1717C22—2441no—
1718C22—2441no—
1719C22—2441no—
1720C22—2441no—
1721C22—2441no—
1722C22—2441no—
1723C22#1684036814yes—
1724C22C22×#1175822611yescharacteristic
1725C22H(5,𝔽2)×D6111yescharacteristic
1726C22H(5,𝔽2)×D6111yescharacteristic
1727C22C2×#1451982311yescharacteristic
1728C22C2×#1451982311yescharacteristic
1729C22C2×#1451982311yescharacteristic
1730C22#1684059811yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—2441no—
1746C4—2441no—
1747C4—2441no—
1748C4—2441no—
1749C4—2441no—
1750C4—2441no—
1751C4—2441no—
1752C4—2441no—
1753C4—2441no—
1754C2—24no—
1755C2—4881no—
1756C2—4881no—
1757C2—4881no—
1758C2—4881no—
1759C2—4881no—
1760C2—2442no—
1761C2—2442no—
1762C2C2×#1684036811yescharacteristic
1763C2#2145950911yescharacteristic
1764C2#2145967311yescharacteristic
1765C2#2145997511yescharacteristic
1766C2#2145999611yescharacteristic
1767C2#2146001211yescharacteristic
1768C2#2146005511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2569C2
hypercenter#2569D61
hypocenterC61#36794
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2569

Complements

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

NH ≅ G/Ntype
1. #21454114C2semidirect
2. #21454102C2semidirect
3. #21453677C2semidirect
4. #21453533C2semidirect
5. #21453147C2semidirect
6. #21453102C2semidirect
7. #21453082C2semidirect
8. #21453049C2semidirect
9. #21452914C2semidirect
10. #21452551C2semidirect
11. #21452551C2semidirect
12. #21452509C2semidirect
13. #21452461C2semidirect
14. #21452405C2semidirect
15. #21452262C2semidirect
16. #21452088C2semidirect
17. #21452088C2semidirect
18. #21452062C2semidirect
19. #21451597C2semidirect
20. #21451556C2semidirect
21. #21450779C2semidirect
22. #21449456C2semidirect
23. #21449353C2semidirect
24. #21449353C2semidirect
25. #21449287C2semidirect
26. #21449287C2semidirect
27. #21449176C2semidirect
28. #21448519C2semidirect
29. #21448446C2semidirect
30. C2×#16839640C2semidirect
31. C61×#2569C2semidirect
36. C2×#14519762C22semidirect
37. C2×#14519762C22semidirect
38. C2×#14519762C22semidirect
39. C2×#14519762C22semidirect
42. C2×#14519752C22semidirect
43. C2×#14519752C22semidirect
44. C2×#14519752C22semidirect
45. C2×#14519752C22semidirect
61. #16839697C22semidirect
62. #16839697C22semidirect
63. #16839694C22semidirect
64. #16839691C22semidirect
65. #16839691C22semidirect
66. #16839691C22semidirect
67. #16839691C22semidirect
68. #16839689C22semidirect
69. #16839689C22semidirect
70. #16839689C22semidirect
71. #16839688C22semidirect
72. #16839688C22semidirect
73. #16839684C22semidirect
74. #16839684C22semidirect
77. #16839680C22semidirect
78. #16839680C22semidirect
79. #16839680C22semidirect
80. #16839680C22semidirect
81. #16839680C22semidirect
82. #16839680C22semidirect
83. #16839680C22semidirect
84. #16839679C22semidirect
85. #16839679C22semidirect
86. #16839679C22semidirect
87. #16839679C22semidirect
88. #16839679C22semidirect
89. #16839679C22semidirect
90. #16839679C22semidirect
91. #16839679C22semidirect
92. #16839679C22semidirect
93. #16839679C22semidirect
100. #16839672C22semidirect
101. #16839672C22semidirect
102. #16839672C22semidirect
103. #16839672C22semidirect
104. #16839672C22semidirect
109. #16839663C22semidirect
110. #16839663C22semidirect
111. #16839654C22semidirect
112. #16839654C22semidirect
113. #16839654C22semidirect
114. #16839654C22semidirect
115. #16839653C22semidirect
116. #16839653C22semidirect
117. #16839652C22semidirect
118. #16839652C22semidirect
119. #16839652C22semidirect
120. #16839652C22semidirect
121. #16839651C22semidirect
122. #16839651C22semidirect
123. #16839646C22semidirect
124. #16839646C22semidirect
125. #16839645C22semidirect
126. #16839645C22semidirect
137. #16839640C22semidirect
138. #16839640C22semidirect
139. #16839640C22semidirect
140. #16839640C22semidirect
141. #16839640C22semidirect
142. #16839640C22semidirect
143. #16839640C22semidirect
144. #16839640C22semidirect
145. #16839640C22semidirect
146. #16839640C22semidirect
147. #16839640C22semidirect
148. #16839640C22semidirect
149. #16839640C22semidirect
150. #16839640C22semidirect
157. #16839633C22semidirect
158. #16839633C22semidirect
159. #16839633C22semidirect
160. #16839633C22semidirect
161. #16839629C22semidirect
162. #16839626C22semidirect
163. #16839624C22semidirect
164. #16839624C22semidirect
165. #16839624C22semidirect
166. #16839621C22semidirect
167. #16839619C22semidirect
168. #16839619C22semidirect
172. C61×#400C22semidirect
173. C61×#400C22semidirect
174. C61×#398C22semidirect
175. C61×#398C22semidirect
176. C61×#387C22semidirect
177. C61×#387C22semidirect
178. C61×#387C22semidirect
179. C61×#387C22semidirect
890. #2569D61semidirect
945. #400C2×D61semidirect
946. #400C2×D61semidirect
950. #398C2×D61semidirect
951. #398C2×D61semidirect
1015. #387C2×D61semidirect
1016. #387C2×D61semidirect
1017. #387C2×D61semidirect
1018. #387C2×D61semidirect
1071. C61#36794semidirect

Maximal subgroups

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

subgroupindex
#214541142
#214541022
#214536772
#214535332
#214531472
#214531022
#214530822
#214530492
#214529142
#214525512
#214525092
#214524612
#214524052
#214522622
#214520882
#214520622
#214515972
#214515562
#214507792
#214494562
#214493532
#214492872
#214491762
#214485192
#214484462
C2×#168396402
C61×#25692
#3679461