Finite Group Databasebeta

← #29888824

Subgroups — #29888824

Order 15616.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454112C211yesmaximal, characteristic, complemented
2#21454100C211yesmaximal, characteristic, complemented
3#21453764C211yesmaximal, characteristic, complemented
4#21453679C211yesmaximal, characteristic, complemented
5#21453572C211yesmaximal, characteristic, complemented
6#21453515C211yesmaximal, characteristic, complemented
7#21453467C211yesmaximal, characteristic, complemented
8#21453443C211yesmaximal, characteristic, complemented
9#21453068C211yesmaximal, characteristic, complemented
10#21452986C211yesmaximal, characteristic, complemented
11#21452614C211yesmaximal, characteristic, complemented
12#21452561C211yesmaximal, characteristic, complemented
13#21452541C211yesmaximal, characteristic, complemented
14#21452534C211yesmaximal, characteristic, complemented
15#21452361C211yesmaximal, characteristic, complemented
16#21452223C211yesmaximal, characteristic, complemented
17#21452187C211yesmaximal, characteristic, complemented
18#21451771C211yesmaximal, characteristic, complemented
19#21451751C211yesmaximal, characteristic, complemented
20#21450073C211yesmaximal, characteristic, complemented
21#21449940C211yesmaximal, characteristic, complemented
22#21449561C211yesmaximal, characteristic, complemented
23#21449498C211yesmaximal, characteristic, complemented
24#21449428C211yesmaximal, characteristic, complemented
25#21449360C211yesmaximal, characteristic, complemented
26#21449199C211yesmaximal, characteristic, complemented
27#21449136C211yesmaximal, characteristic, complemented
28#21448492C211yesmaximal, characteristic, complemented
29#21448408C211yesmaximal, characteristic, complemented
30#385×D61C211yesmaximal, characteristic, complemented
31C61×#2750C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C2×#14519772C2211yescharacteristic, complemented
35C2×#14519764C2211yescharacteristic
36C2×#14519762C2211yescharacteristic
37C2×#14519761C2211yescharacteristic
38C2×#14519760C2211yescharacteristic
39C2×#14519759C2211yescharacteristic, complemented
40C2×#14519755C2211yescharacteristic
41C2×#14519752C2211yescharacteristic
42C2×#14519750C2211yescharacteristic
43C2×#14519750C2211yescharacteristic
44C2×#14519750C2211yescharacteristic
45C2×#14519749C2211yescharacteristic
46C2×#14519747C2211yescharacteristic
47C2×#14519747C2211yescharacteristic
48C2×#14519745C2211yescharacteristic
49C2×C4×D244C2211yescharacteristic
50C2×#14519735C2211yescharacteristic
51C2×C4⋊C4×D61C2211yescharacteristic
52C2×C4⋊C4×D61C2211yescharacteristic
53C2×C22⋊C4×D61C2211yescharacteristic
54C2×C22⋊C4×D61C2211yescharacteristic
55C61⋊#401C2211yescharacteristic, complemented
56#16839704C2211yescharacteristic, complemented
57#16839703C2211yescharacteristic, complemented
58#16839703C2211yescharacteristic, complemented
59#16839701C2211yescharacteristic, complemented
60#16839700C2211yescharacteristic, complemented
61#16839698C2211yescharacteristic, complemented
62#16839696C2211yescharacteristic, complemented
63#16839695C2211yescharacteristic, complemented
64#16839694C2211yescharacteristic, complemented
65#16839691C2211yescharacteristic, complemented
66#16839691C2211yescharacteristic, complemented
67#16839691C2211yescharacteristic, complemented
68#16839690C2211yescharacteristic
69#16839690C2211yescharacteristic, complemented
70#16839688C2211yescharacteristic, complemented
71#16839687C2211yescharacteristic, complemented
72#16839686C2211yescharacteristic, complemented
73#16839685C2211yescharacteristic, complemented
74#16839684C2211yescharacteristic
75#16839684C2211yescharacteristic
76#16839683C2211yescharacteristic, complemented
77#16839682C2211yescharacteristic, complemented
78#16839680C2211yescharacteristic, complemented
79#16839679C2211yescharacteristic
80#16839679C2211yescharacteristic, complemented
81#16839678C2211yescharacteristic
82#16839678C2211yescharacteristic
83#16839678C2211yescharacteristic
84#16839678C2211yescharacteristic, complemented
85#16839677C2211yescharacteristic
86#16839677C2211yescharacteristic, complemented
87#16839675C2211yescharacteristic
88#16839675C2211yescharacteristic
89#16839675C2211yescharacteristic, complemented
90#16839675C2211yescharacteristic, complemented
91#16839675C2211yescharacteristic, complemented
92#16839674C2211yescharacteristic
93#16839672C2211yescharacteristic
94#16839671C2211yescharacteristic
95#16839671C2211yescharacteristic, complemented
96#16839670C2211yescharacteristic
97#16839666C2211yescharacteristic, complemented
98#16839666C2211yescharacteristic, complemented
99#16839666C2211yescharacteristic, complemented
100#16839664C2211yescharacteristic
101#16839663C2211yescharacteristic
102#16839662C2211yescharacteristic
103#16839662C2211yescharacteristic
104#16839662C2211yescharacteristic, complemented
105#16839662C2211yescharacteristic, complemented
106#16839661C2211yescharacteristic, complemented
107#16839659C2211yescharacteristic, complemented
108#16839658C2211yescharacteristic, complemented
109#16839654C2211yescharacteristic, complemented
110#16839652C2211yescharacteristic
111#16839651C2211yescharacteristic
112#16839651C2211yescharacteristic, complemented
113#16839651C2211yescharacteristic, complemented
114#16839650C2211yescharacteristic
115#16839650C2211yescharacteristic
116#16839647C2211yescharacteristic, complemented
117#16839647C2211yescharacteristic, complemented
118#16839646C2211yescharacteristic, complemented
119#16839646C2211yescharacteristic, complemented
120#16839644C2211yescharacteristic, complemented
121#16839644C2211yescharacteristic, complemented
122#16839641C2211yescharacteristic
123#16839641C2211yescharacteristic
124#16839641C2211yescharacteristic, complemented
125#16839640C2211yescharacteristic
126#16839640C2211yescharacteristic
127#16839640C2211yescharacteristic
128#16839640C2211yescharacteristic
129#16839640C2211yescharacteristic
130#16839640C2211yescharacteristic
131#16839640C2211yescharacteristic
132#16839640C2211yescharacteristic
133#16839640C2211yescharacteristic
134#16839640C2211yescharacteristic
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic, complemented
137#16839638C2211yescharacteristic
138#16839638C2211yescharacteristic
139#16839638C2211yescharacteristic
140#16839638C2211yescharacteristic
141#16839638C2211yescharacteristic
142#16839638C2211yescharacteristic
143#16839637C2211yescharacteristic
144#16839636C2211yescharacteristic
145#16839636C2211yescharacteristic
146#16839636C2211yescharacteristic
147#16839636C2211yescharacteristic
148#16839636C2211yescharacteristic
149#16839636C2211yescharacteristic
150#16839636C2211yescharacteristic
151#16839636C2211yescharacteristic, complemented
152#16839635C2211yescharacteristic
153#16839634C2211yescharacteristic
154#16839633C2211yescharacteristic
155#16839633C2211yescharacteristic
156#16839633C2211yescharacteristic
157#16839633C2211yescharacteristic, complemented
158#16839633C2211yescharacteristic, complemented
159#16839633C2211yescharacteristic, complemented
160#16839624C2211yescharacteristic
161#16839623C2211yescharacteristic
162#16839622C2211yescharacteristic, complemented
163#16839621C2211yescharacteristic
164#16839621C2211yescharacteristic
165#16839620C2211yescharacteristic
166#16839619C2211yescharacteristic, complemented
167#16839619C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic
169#16839609C2211yescharacteristic
170#95×D61C2211yescharacteristic
171#95×D61C2211yescharacteristic
172C61×#400C2211yescharacteristic, complemented
173C61×#400C2211yescharacteristic, complemented
174C61×#400C2211yescharacteristic, complemented
175C61×#397C2211yescharacteristic, complemented
176C61×#396C2211yescharacteristic
177C61×#394C2211yescharacteristic
178C61×#388C2211yescharacteristic
179C61×#388C2211yescharacteristic, complemented
180C61×#387C2211yescharacteristic, complemented
181C61×#386C2211yescharacteristic
182C61×#386C2211yescharacteristic
183C61×#385C2211yescharacteristic
184C61×#385C2211yescharacteristic, complemented
185C61×#381C2211yescharacteristic
186C61×#380C2211yescharacteristic, complemented
187C24×D61C2311yescharacteristic
188C2×#11758222—24no—
189C2×#11758222—42no—
190C2×#11758222—42no—
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
205C22×C4×D61—42no—
206C22×C4×D61—42no—
207C22×C4×D61—42no—
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218#14519772—42no—
219#14519764—42no—
220#14519762—24no—
221#14519761—42no—
222#14519760—42no—
223#14519759—42no—
224#14519755—42no—
225#14519752—42no—
226#14519750—42no—
227#14519750—42no—
228#14519750—42no—
229#14519749—42no—
230#14519747—42no—
231#14519747—42no—
232#14519745—42no—
233C4×D244—42no—
234#14519735—42no—
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×C4⋊Dic61C2311yescharacteristic
239C2×C4⋊Dic61C2311yescharacteristic
240C2×C4⋊Dic61C2311yescharacteristic
241C2×C4⋊Dic61C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C4⋊C4×D61—42no—
257C4⋊C4×D61—42no—
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×#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
298C22⋊C4×D61—24no—
299C22⋊C4×D61—42no—
300C2×C4×Dic61C2311yescharacteristic
301C2×C4×Dic61C2311yescharacteristic
302C2×C4×Dic61C2311yescharacteristic
303C2×C4×Dic61C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334C22×D4×C61C2311yescharacteristic
335C23×C4×C61C2311yescharacteristic
336C23×C4×C61C2311yescharacteristic
337C2×C4⋊C4×C61C2311yescharacteristic
338C2×C4⋊C4×C61C2311yescharacteristic
339C2×C4⋊C4×C61C2311yescharacteristic
340C2×C4⋊C4×C61C2311yescharacteristic
341C2×C4⋊C4×C61C2311yescharacteristic
342C2×C4⋊C4×C61C2311yescharacteristic
343C2×C4⋊C4×C61C2311yescharacteristic
344C2×C22⋊C4×C61C2311yescharacteristic
345C2×C22⋊C4×C61C2311yescharacteristic
346C2×C22⋊C4×C61C2311yescharacteristic
347C2×C22⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61C2311yescharacteristic
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C42×C61C2311yescharacteristic
355#95×C61C2311yescharacteristic
356#95×C61C2311yescharacteristic
357#95×C61C2311yescharacteristic
358#95×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
369C24×C61C2411yescharacteristic
370C24×C61C2411yescharacteristic
371C23×D61—22no—
372C23×D61—22no—
373C23×D61—22no—
374C23×D61—22no—
375C23×D61—22no—
376C23×D61—41no—
377C23×D61—41no—
378C23×D61C2411yescharacteristic
379C23×D61C2411yescharacteristic
380C23×D61C2411yescharacteristic
381C23×D61C2411yescharacteristic
382C2×D4×C61—22no—
383C2×D4×C61—41no—
384C2×D4×C61—41no—
385C22×C4×C61—22no—
386C22×C4×C61—22no—
387C22×C4×C61—41no—
388C22×C4×C61—41no—
389C22×C4×C61—41no—
390C22×C4×C61—41no—
391C22×C4×C61C2411yescharacteristic
392C22×C4×C61C2411yescharacteristic
393C22×C4×C61C2411yescharacteristic
394C22×C4×C61C2411yescharacteristic
395C22×C4×C61C2411yescharacteristic
396C22×C4×C61C2411yescharacteristic
397C22×C4×C61C2411yescharacteristic
398C22×C4×C61C2411yescharacteristic
399C22×C4×C61C2411yescharacteristic
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C2×C22⋊D61—22no—
405C2×C22⋊D61—22no—
406C2×C22⋊D61—22no—
407C2×C22⋊D61—22no—
408C2×C22⋊D61—22no—
409C2×C22⋊D61—22no—
410C2×C22⋊D61—22no—
411C2×C22⋊D61—22no—
412C2×C22⋊D61—41no—
413C2×C22⋊D61—41no—
414C2×C22⋊D61—41no—
415C2×C22⋊D61—41no—
416C2×C22⋊D61—41no—
417C2×C22⋊D61—41no—
418C2×C22⋊D61—41no—
419C2×C22⋊D61—41no—
420C2×C22⋊D61—41no—
421C2×C22⋊D61—41no—
422C22×Dic61—22no—
423C22×Dic61—22no—
424C22×Dic61—41no—
425C22×Dic61C2411yescharacteristic
426C22×Dic61C2411yescharacteristic
427C22×Dic61C2411yescharacteristic
428C22×Dic61C2411yescharacteristic
429C22×Dic61C2411yescharacteristic
430C22×Dic61C2411yescharacteristic
431C22×Dic61C2411yescharacteristic
432C22×Dic61C2411yescharacteristic
433C22×Dic61C2411yescharacteristic
434C22×Dic61C2411yescharacteristic
435C22×Dic61C2411yescharacteristic
436C22×Dic61C2411yescharacteristic
437#11758222—416no—
438C2×D244—22no—
439C2×D244—22no—
440C2×D244—22no—
441C2×D244—22no—
442C2×D244—22no—
443C2×D244—22no—
444C2×D244—22no—
445C2×D244—22no—
446C2×D244—41no—
447C2×D244—41no—
448C2×D244—41no—
449C2×D244—41no—
450C2×D244—41no—
451C2×D244—41no—
452C2×D244—41no—
453C2×C4×D61—22no—
454C2×C4×D61—22no—
455C2×C4×D61—22no—
456C2×C4×D61—22no—
457C2×C4×D61—22no—
458C2×C4×D61—22no—
459C2×C4×D61—22no—
460C2×C4×D61—22no—
461C2×C4×D61—22no—
462C2×C4×D61—22no—
463C2×C4×D61—41no—
464C2×C4×D61—41no—
465C2×C4×D61—41no—
466C2×C4×D61—41no—
467C2×C4×D61—41no—
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—416no—
476C2×C4×D61—41no—
477C2×C4×D61—41no—
478C2×C4×D61—41no—
479C2×C4×D61—41no—
480C2×C4×D61—41no—
481C2×C4×D61—41no—
482C2×C4×D61—41no—
483C2×C4×D61#4114yes—
484C2×Dic122—22no—
485C2×Dic122—41no—
486C2×Dic122—41no—
487C2×Dic122—41no—
488C2×Dic122—41no—
489C2×Dic122—41no—
490C4⋊C4×C61—22no—
491C4⋊C4×C61—41no—
492C4⋊C4×C61—41no—
493C4⋊C4×C61—41no—
494C4⋊C4×C61—41no—
495C4⋊C4×C61—41no—
496C4⋊C4×C61—41no—
497C22⋊C4×C61—22no—
498C22⋊C4×C61—22no—
499C22⋊C4×C61—41no—
500C22⋊C4×C61—41no—
501C22⋊C4×C61—41no—
502C22⋊C4×C61—41no—
503C22⋊C4×C61—41no—
504C22⋊C4×C61—41no—
505C22⋊C4×C61—41no—
506C22⋊C4×C61—41no—
507C42×C61—41no—
508C22⋊Dic61—22no—
509C22⋊Dic61—22no—
510C22⋊Dic61—22no—
511C22⋊Dic61—41no—
512C22⋊Dic61—41no—
513C22⋊Dic61—41no—
514C22⋊Dic61—41no—
515C22⋊Dic61—41no—
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—41no—
528#11758198—41no—
529#11758198—41no—
530#11758198—41no—
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—
548C4⋊Dic61—22no—
549C4⋊Dic61—22no—
550C4⋊Dic61—41no—
551C4⋊Dic61—41no—
552C4⋊Dic61—41no—
553C4⋊Dic61—41no—
554C4⋊Dic61—41no—
555#11758196—22no—
556#11758196—22no—
557#11758196—22no—
558#11758196—41no—
559#11758196—41no—
560#11758196—41no—
561#11758196—41no—
562#11758196—41no—
563#11758196—41no—
564#11758196—41no—
565#11758196—41no—
566#11758196—41no—
567#11758196—41no—
568#11758196—41no—
569C4×Dic61—41no—
570C4×Dic61—41no—
571C4×Dic61—41no—
572C4×Dic61—41no—
573C23×C61—21no—
574C23×C61—21no—
575C23×C61—21no—
576C23×C61—21no—
577C23×C61—21no—
578C23×C61—21no—
579C23×C61—21no—
580C23×C61—21no—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61H(5,𝔽2)12yes—
587C23×C61C2511yescharacteristic
588C22×D61—21no—
589C22×D61—21no—
590C22×D61—21no—
591C22×D61—21no—
592C22×D61—28no—
593C22×D61—21no—
594C22×D61—21no—
595C22×D61—21no—
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—44no—
614C22×D61—44no—
615C22×D61—44no—
616C22×D61—44no—
617C22×D61—44no—
618C22×D61—44no—
619C22×D61C2×#4112yes—
620C22×D61H(5,𝔽2)12yes—
621C22×D61H(5,𝔽2)12yes—
622C22×D612−1+412yes—
623D4×C61—82no—
624C2×C4×C61—21no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
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—44no—
663C2×C4×C61—44no—
664C2×C4×C61C2×#4112yes—
665C22⋊D61—44no—
666C22⋊D61—44no—
667C22⋊D61—82no—
668C22⋊D61—82no—
669C22⋊D61—82no—
670C22⋊D61—82no—
671C2×Dic61—21no—
672C2×Dic61—21no—
673C2×Dic61—21no—
674C2×Dic61—21no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
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—44no—
706C2×Dic61C2×#4112yes—
707C2×Dic61H(5,𝔽2)12yes—
708D244—44no—
709D244—44no—
710D244—82no—
711D244—82no—
712D244—82no—
713C4×D61—28no—
714C4×D61—44no—
715C4×D61—44no—
716C4×D61—44no—
717C4×D61—44no—
718C4×D61—44no—
719C4×D61—44no—
720C4×D61—82no—
721C4×D61—82no—
722C4×D61—82no—
723Dic122—44no—
724Dic122—82no—
725#36791—611nomaximal, Sylow
726C22×C61—22no—
727C22×C61—22no—
728C22×C61—22no—
729C22×C61—41no—
730C22×C61—41no—
731C22×C61—41no—
732C22×C61—41no—
733C22×C61—41no—
734C22×C61—41no—
735C22×C61—41no—
736C22×C61—41no—
737C22×C61—41no—
738C22×C61—41no—
739C22×C61—41no—
740C22×C61C22×#4111yescharacteristic
741C22×C61C2×H(5,𝔽2)11yescharacteristic
742C22×C61C2×H(5,𝔽2)11yescharacteristic
743C22×C61C2×H(5,𝔽2)11yescharacteristic
744C22×C61C2×H(5,𝔽2)11yescharacteristic
745C22×C61C2×2−1+411yescharacteristic
746C22×C61#58511yescharacteristic
747C2×D61—22no—
748C2×D61—22no—
749C2×D61—22no—
750C2×D61—22no—
751C2×D61—22no—
752C2×D61—22no—
753C2×D61—22no—
754C2×D61—22no—
755C2×D61—22no—
756C2×D61—416no—
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#53814yes—
776C4×C61—22no—
777C4×C61—41no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789Dic61—22no—
790Dic61—22no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801#2849—611no—
802#2847—611no—
803#2804—611no—
804#2797—611no—
805#2788—611no—
806#2784—611no—
807#2780—611no—
808#2778—611no—
809#2751—611no—
810#2750D6111yescharacteristic, complemented
811#2745—611no—
812#2714—611no—
813#2710—611no—
814#2708—611no—
815#2708—611no—
816#2695—611no—
817#2686—611no—
818#2682—611no—
819#2643—611no—
820#2639—611no—
821#2481—611no—
822#2472—611no—
823#2443—611no—
824#2438—611no—
825#2430—611no—
826#2424—611no—
827#2411—611no—
828#2404—611no—
829#2322—611no—
830#2311—611no—
831C2×#385—611no—
832C2×C61—42no—
833C2×C61—81no—
834C2×C61C2×#53811yescharacteristic
835C2×C61#349211yescharacteristic
836C2×C61#350611yescharacteristic
837C2×C61#353211yescharacteristic
838C2×C61#353411yescharacteristic
839C2×C61#353511yescharacteristic
840C2×C61#353611yescharacteristic
841D61—24no—
842D61—42no—
843D61—81no—
844D61—81no—
845C22×#41—611no—
846C24×C4—611no—
847C2×#126—611no—
848C2×#124—611no—
849C2×#123—611no—
850C2×#123—611no—
851C2×#123—611no—
852C2×#123—611no—
853C2×C22⋊Q8—611no—
854C2×#121—611no—
855C2×#121—611no—
856C2×#121—611no—
857C2×#121—611no—
858C2×#121—611no—
859C2×#120—611no—
860C2×#120—611no—
861C2×#120—611no—
862C2×C4×D4—611no—
863C2×#117—611no—
864C22×C4⋊C4—611no—
865C22×C4⋊C4—611no—
866C22×C22⋊C4—611no—
867C22×C22⋊C4—611no—
868#401—611no—
869#400—611no—
870#400—611no—
871#400—611no—
872#400—611no—
873#400—611no—
874#400C2×D6111yescharacteristic, complemented
875#400C2×D6111yescharacteristic, complemented
876#400C2×D6111yescharacteristic, complemented
877#399—611no—
878#398—611no—
879#398—611no—
880#398—611no—
881#397—611no—
882#397—611no—
883#397—611no—
884#397—611no—
885#397—611no—
886#397—611no—
887#397—611no—
888#397C2×D6111yescharacteristic, complemented
889#396—611no—
890#396—611no—
891#396—611no—
892#396—611no—
893#396C2×D6111yescharacteristic
894#395—611no—
895#395—611no—
896#394—611no—
897#394—611no—
898#394—611no—
899#394—611no—
900#394—611no—
901#394—611no—
902#394—611no—
903#394—611no—
904#394—611no—
905#394C2×D6111yescharacteristic
906#393—611no—
907#393—611no—
908#393—611no—
909#393—611no—
910#393—611no—
911#393—611no—
912#392—611no—
913#392—611no—
914#392—611no—
915#392—611no—
916#391—611no—
917#391—611no—
918#391—611no—
919#390—611no—
920#390—611no—
921#390—611no—
922#390—611no—
923#390—611no—
924#390—611no—
925#389—611no—
926#389—611no—
927#389—611no—
928#388—611no—
929#388—611no—
930#388—611no—
931#388—611no—
932#388—611no—
933#388—611no—
934#388—611no—
935#388C2×D6111yescharacteristic
936#388C2×D6111yescharacteristic, complemented
937#387—611no—
938#387—611no—
939#387—611no—
940#387—611no—
941#387—611no—
942#387—611no—
943#387C2×D6111yescharacteristic, complemented
944#386—611no—
945#386—611no—
946#386—611no—
947#386—611no—
948#386—611no—
949#386—611no—
950#386—611no—
951#386—611no—
952#386—611no—
953#386—611no—
954#386—611no—
955#386—611no—
956#386—611no—
957#386—611no—
958#386—611no—
959#386—611no—
960#386—611no—
961#386—611no—
962#386—611no—
963#386—611no—
964#386—611no—
965#386C2×D6111yescharacteristic
966#386C2×D6111yescharacteristic
967#385—611no—
968#385—611no—
969#385—611no—
970#385—611no—
971#385—611no—
972#385—611no—
973#385—611no—
974#385—611no—
975#385—611no—
976#385—611no—
977#385—611no—
978#385—611no—
979#385—611no—
980#385—611no—
981#385—611no—
982#385—611no—
983#385—611no—
984#385C2×D6111yescharacteristic
985#385C2×D6111yescharacteristic, complemented
986#381—611no—
987#381—611no—
988#381C2×D6111yescharacteristic
989#380—611no—
990#380—611no—
991#380—611no—
992#380—611no—
993#380—611no—
994#380—611no—
995#380C2×D6111yescharacteristic, complemented
996#379—611no—
997C4×C22⋊C4—611no—
998C2×#95—611no—
999C2×#95—611no—
1000C61#3679111yescharacteristic, complemented, Sylow
1001C25—611no—
1002C2×#41—1224no—
1003C2×#41—2442no—
1004C2×#41—2442no—
1005C22×Q8—611no—
1006C22×Q8—611no—
1007C22×D4—611no—
1008C22×D4—611no—
1009C22×D4—611no—
1010C22×D4—611no—
1011C22×D4—611no—
1012C22×D4—611no—
1013C22×D4—611no—
1014C22×D4—611no—
1015C22×D4—611no—
1016C22×D4—611no—
1017C22×D4—611no—
1018C22×D4C22×D6111yescharacteristic
1019C23×C4—611no—
1020C23×C4—611no—
1021C23×C4—611no—
1022C23×C4—611no—
1023C23×C4—611no—
1024C23×C4—611no—
1025C23×C4—611no—
1026C23×C4—611no—
1027C23×C4—611no—
1028C23×C4—611no—
1029C23×C4—611no—
1030C23×C4—2442no—
1031C23×C4—2442no—
1032C23×C4—2442no—
1033C23×C4C22×D6111yescharacteristic
1034C23×C4C22×D6111yescharacteristic
1035#126—2442no—
1036#124—2442no—
1037#123—1224no—
1038#123—2442no—
1039#123—2442no—
1040#123—2442no—
1041C22⋊Q8—2442no—
1042#121—2442no—
1043#121—2442no—
1044#121—2442no—
1045#121—2442no—
1046#121—2442no—
1047#120—2442no—
1048#120—2442no—
1049#120—2442no—
1050C4×D4—2442no—
1051#117—2442no—
1052C2×C4⋊C4—611no—
1053C2×C4⋊C4—611no—
1054C2×C4⋊C4—611no—
1055C2×C4⋊C4—611no—
1056C2×C4⋊C4—611no—
1057C2×C4⋊C4—611no—
1058C2×C4⋊C4—611no—
1059C2×C4⋊C4—611no—
1060C2×C4⋊C4—611no—
1061C2×C4⋊C4—611no—
1062C2×C4⋊C4—611no—
1063C2×C4⋊C4—611no—
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—2442no—
1074C2×C4⋊C4—2442no—
1075C2×C4⋊C4C22×D6111yescharacteristic
1076C2×C4⋊C4C22×D6111yescharacteristic
1077C2×C4⋊C4C22×D6111yescharacteristic
1078C2×C4⋊C4C22×D6111yescharacteristic
1079C2×C4⋊C4C22×D6111yescharacteristic
1080C2×C4⋊C4C22×D6111yescharacteristic
1081C2×C4⋊C4C22×D6111yescharacteristic
1082C2×C22⋊C4—611no—
1083C2×C22⋊C4—611no—
1084C2×C22⋊C4—611no—
1085C2×C22⋊C4—611no—
1086C2×C22⋊C4—611no—
1087C2×C22⋊C4—611no—
1088C2×C22⋊C4—611no—
1089C2×C22⋊C4—611no—
1090C2×C22⋊C4—611no—
1091C2×C22⋊C4—611no—
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—1224no—
1123C2×C22⋊C4—2442no—
1124C2×C22⋊C4C22×D6111yescharacteristic
1125C2×C22⋊C4C22×D6111yescharacteristic
1126C2×C22⋊C4C22×D6111yescharacteristic
1127C2×C22⋊C4C22×D6111yescharacteristic
1128C2×C22⋊C4C22×D6111yescharacteristic
1129C2×C22⋊C4C22×D6111yescharacteristic
1130C2×C22⋊C4C22×D6111yescharacteristic
1131C2×C22⋊C4C22×D6111yescharacteristic
1132C2×C22⋊C4C22×D6111yescharacteristic
1133C2×C22⋊C4C22×D6111yescharacteristic
1134C2×C42—611no—
1135C2×C42—611no—
1136C2×C42—611no—
1137C2×C42—611no—
1138C2×C42C22×D6111yescharacteristic
1139#95—611no—
1140#95—611no—
1141#95—611no—
1142#95—611no—
1143#95—611no—
1144#95—611no—
1145#95—611no—
1146#95—611no—
1147#95—611no—
1148#95—611no—
1149#95—611no—
1150#95—611no—
1151#95—611no—
1152#95—611no—
1153#95—611no—
1154#95—611no—
1155#95—611no—
1156#95—611no—
1157#95—611no—
1158#95—611no—
1159#95—611no—
1160#95—611no—
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#95C22×D6111yescharacteristic
1170#95C22×D6111yescharacteristic
1171#95C22×D6111yescharacteristic
1172#95C22×D6111yescharacteristic
1173#95C22×D6111yescharacteristic
1174#95C22×D6111yescharacteristic
1175#95C22×D6111yescharacteristic
1176#95C22×D6111yescharacteristic
1177#95C22×D6111yescharacteristic
1178#95C22×D6111yescharacteristic
1179#95C22×D6111yescharacteristic
1180#95C22×D6111yescharacteristic
1181#95C22×D6111yescharacteristic
1182#95C22×D6111yescharacteristic
1183C24—611no—
1184C24—611no—
1185C24—611no—
1186C24—611no—
1187C24—1222no—
1188C24—1222no—
1189C24—1222no—
1190C24—1222no—
1191C24—1222no—
1192C24—2441no—
1193C24—2441no—
1194C24C23×D6111yescharacteristic
1195C24C23×D6111yescharacteristic
1196#41—24416no—
1197C2×Q8—1222no—
1198C2×Q8—2441no—
1199C2×Q8—2441no—
1200C2×Q8—2441no—
1201C2×Q8—2441no—
1202C2×Q8—2441no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—1222no—
1207C2×D4—1222no—
1208C2×D4—1222no—
1209C2×D4—1222no—
1210C2×D4—1222no—
1211C2×D4—1222no—
1212C2×D4—1222no—
1213C2×D4—1222no—
1214C2×D4—1222no—
1215C2×D4—1222no—
1216C2×D4—1222no—
1217C2×D4—1222no—
1218C2×D4—1222no—
1219C2×D4—1222no—
1220C2×D4—1222no—
1221C2×D4—1222no—
1222C2×D4—2441no—
1223C2×D4—2441no—
1224C2×D4—2441no—
1225C2×D4—2441no—
1226C2×D4—2441no—
1227C2×D4—2441no—
1228C2×D4—2441no—
1229C2×D4—2441no—
1230C2×D4—2441no—
1231C2×D4—2441no—
1232C2×D4—2441no—
1233C2×D4—2441no—
1234C2×D4—2441no—
1235C2×D4—2441no—
1236C2×D4—2441no—
1237C2×D4—2441no—
1238C2×D4—2441no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—611no—
1246C22×C4—611no—
1247C22×C4—614no—
1248C22×C4—611no—
1249C22×C4—611no—
1250C22×C4—611no—
1251C22×C4—611no—
1252C22×C4—611no—
1253C22×C4—611no—
1254C22×C4—611no—
1255C22×C4—611no—
1256C22×C4—611no—
1257C22×C4—611no—
1258C22×C4—1222no—
1259C22×C4—1222no—
1260C22×C4—1222no—
1261C22×C4—1222no—
1262C22×C4—1222no—
1263C22×C4—1222no—
1264C22×C4—1222no—
1265C22×C4—1222no—
1266C22×C4—1222no—
1267C22×C4—1222no—
1268C22×C4—1222no—
1269C22×C4—1222no—
1270C22×C4—2441no—
1271C22×C4—2441no—
1272C22×C4—2441no—
1273C22×C4—2441no—
1274C22×C4—2441no—
1275C22×C4—2441no—
1276C22×C4—2441no—
1277C22×C4—2441no—
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—24416no—
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—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—1222no—
1312C4⋊C4—1222no—
1313C4⋊C4—1222no—
1314C4⋊C4—1222no—
1315C4⋊C4—1222no—
1316C4⋊C4—2441no—
1317C4⋊C4—2441no—
1318C4⋊C4—2441no—
1319C4⋊C4—2441no—
1320C4⋊C4—2441no—
1321C4⋊C4—2441no—
1322C4⋊C4—2441no—
1323C4⋊C4—2441no—
1324C4⋊C4—2441no—
1325C4⋊C4—2441no—
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—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—1222no—
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—2441no—
1357C22⋊C4—2441no—
1358C22⋊C4—2441no—
1359C22⋊C4—2441no—
1360C22⋊C4—2441no—
1361C22⋊C4—2441no—
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—
1382C42—41no—
1383C42—2441no—
1384C42—2441no—
1385C42—2441no—
1386C42—2441no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—612no—
1401C23—612no—
1402C23—612no—
1403C23—612no—
1404C23—1228no—
1405C23—1221no—
1406C23—1221no—
1407C23—1221no—
1408C23—1221no—
1409C23—1221no—
1410C23—1221no—
1411C23—1221no—
1412C23—1221no—
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—2444no—
1430C23—2444no—
1431C23—2444no—
1432C23—2444no—
1433C23—2444no—
1434C23—2444no—
1435C23#1451982312yes—
1436C23C24×D6111yescharacteristic
1437Q8—4882no—
1438Q8—2444no—
1439D4—82no—
1440D4—4882no—
1441D4—4882no—
1442D4—4882no—
1443D4—4882no—
1444D4—4882no—
1445D4—4882no—
1446D4—4882no—
1447D4—2444no—
1448D4—2444no—
1449D4—2444no—
1450D4—2444no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
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—44no—
1490C2×C4—44no—
1491C2×C4—612no—
1492C2×C4—612no—
1493C2×C4—1228no—
1494C2×C4—1221no—
1495C2×C4—1221no—
1496C2×C4—1221no—
1497C2×C4—1221no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—1221no—
1504C2×C4—1221no—
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—4882no—
1529C2×C4—4882no—
1530C2×C4—4882no—
1531C2×C4—2444no—
1532C2×C4—2444no—
1533C2×C4—2444no—
1534C2×C4—2444no—
1535C2×C4—2444no—
1536C2×C4—2444no—
1537C2×C4—2444no—
1538C2×C4#41×D6112yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—614no—
1554C22—1222no—
1555C22—1222no—
1556C22—1222no—
1557C22—1222no—
1558C22—1222no—
1559C22—1222no—
1560C22—1222no—
1561C22—1222no—
1562C22—1222no—
1563C22—24416no—
1564C22—2441no—
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—
1582C22C2×#41×D6111yescharacteristic
1583C22H(5,𝔽2)×D6111yescharacteristic
1584C22H(5,𝔽2)×D6111yescharacteristic
1585C22H(5,𝔽2)×D6111yescharacteristic
1586C22C2×#1451982311yescharacteristic
1587C222−1+4×D6111yescharacteristic
1588C22#1684059811yescharacteristic
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—1222no—
1603C4—1222no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C4—2441no—
1608C4—2441no—
1609C4—2441no—
1610C4—2441no—
1611C4—2441no—
1612C4—2441no—
1613C4—2441no—
1614C2—42no—
1615C2—81no—
1616C2—1224no—
1617C2—4881no—
1618C2—4881no—
1619C2—2442no—
1620C2#538×D6111yescharacteristic
1621C2#2145951911yescharacteristic
1622C2#2145966511yescharacteristic
1623C2#2145997011yescharacteristic
1624C2#2146001211yescharacteristic
1625C2#2146002711yescharacteristic
1626C2#2146003811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2750C2
hypercenter#2750D61
hypocenterC61#36791
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2750

Complements

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

NH ≅ G/Ntype
1. #21454112C2semidirect
2. #21454100C2semidirect
3. #21453764C2semidirect
4. #21453679C2semidirect
5. #21453572C2semidirect
6. #21453515C2semidirect
7. #21453467C2semidirect
8. #21453443C2semidirect
9. #21453068C2semidirect
10. #21452986C2semidirect
11. #21452614C2semidirect
12. #21452561C2semidirect
13. #21452541C2semidirect
14. #21452534C2semidirect
15. #21452361C2semidirect
16. #21452223C2semidirect
17. #21452187C2semidirect
18. #21451771C2semidirect
19. #21451751C2semidirect
20. #21450073C2semidirect
21. #21449940C2semidirect
22. #21449561C2semidirect
23. #21449498C2semidirect
24. #21449428C2semidirect
25. #21449360C2semidirect
26. #21449199C2semidirect
27. #21449136C2semidirect
28. #21448492C2semidirect
29. #21448408C2semidirect
30. #385×D61C2semidirect
31. C61×#2750C2semidirect
34. C2×#14519772C22semidirect
39. C2×#14519759C22semidirect
55. C61⋊#401C22semidirect
56. #16839704C22semidirect
57. #16839703C22semidirect
58. #16839703C22semidirect
59. #16839701C22semidirect
60. #16839700C22semidirect
61. #16839698C22semidirect
62. #16839696C22semidirect
63. #16839695C22semidirect
64. #16839694C22semidirect
65. #16839691C22semidirect
66. #16839691C22semidirect
67. #16839691C22semidirect
69. #16839690C22semidirect
70. #16839688C22semidirect
71. #16839687C22semidirect
72. #16839686C22semidirect
73. #16839685C22semidirect
76. #16839683C22semidirect
77. #16839682C22semidirect
78. #16839680C22semidirect
80. #16839679C22semidirect
84. #16839678C22semidirect
86. #16839677C22semidirect
89. #16839675C22semidirect
90. #16839675C22semidirect
91. #16839675C22semidirect
95. #16839671C22semidirect
97. #16839666C22semidirect
98. #16839666C22semidirect
99. #16839666C22semidirect
104. #16839662C22semidirect
105. #16839662C22semidirect
106. #16839661C22semidirect
107. #16839659C22semidirect
108. #16839658C22semidirect
109. #16839654C22semidirect
112. #16839651C22semidirect
113. #16839651C22semidirect
116. #16839647C22semidirect
117. #16839647C22semidirect
118. #16839646C22semidirect
119. #16839646C22semidirect
120. #16839644C22semidirect
121. #16839644C22semidirect
124. #16839641C22semidirect
136. #16839640C22semidirect
151. #16839636C22semidirect
157. #16839633C22semidirect
158. #16839633C22semidirect
159. #16839633C22semidirect
162. #16839622C22semidirect
166. #16839619C22semidirect
167. #16839619C22semidirect
172. C61×#400C22semidirect
173. C61×#400C22semidirect
174. C61×#400C22semidirect
175. C61×#397C22semidirect
179. C61×#388C22semidirect
180. C61×#387C22semidirect
184. C61×#385C22semidirect
186. C61×#380C22semidirect
810. #2750D61semidirect
874. #400C2×D61semidirect
875. #400C2×D61semidirect
876. #400C2×D61semidirect
888. #397C2×D61semidirect
936. #388C2×D61semidirect
943. #387C2×D61semidirect
985. #385C2×D61semidirect
995. #380C2×D61semidirect
1000. C61#36791semidirect

Maximal subgroups

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

subgroupindex
#214541122
#214541002
#214537642
#214536792
#214535722
#214535152
#214534672
#214534432
#214530682
#214529862
#214526142
#214525612
#214525412
#214525342
#214523612
#214522232
#214521872
#214517712
#214517512
#214500732
#214499402
#214495612
#214494982
#214494282
#214493602
#214491992
#214491362
#214484922
#214484082
#385×D612
C61×#27502
#3679161