Finite Group Databasebeta

← #29888377

Subgroups — #29888377

Order 15616.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454110C211yesmaximal, characteristic, complemented
2#21454102C211yesmaximal, characteristic, complemented
3#21453466C211yesmaximal, characteristic, complemented
4#21453465C211yesmaximal, characteristic, complemented
5#21453304C211yesmaximal, characteristic, complemented
6#21453201C211yesmaximal, characteristic, complemented
7#21453103C211yesmaximal, characteristic, complemented
8#21453038C211yesmaximal, characteristic, complemented
9#21453027C211yesmaximal, characteristic, complemented
10#21452951C211yesmaximal, characteristic, complemented
11#21452884C211yesmaximal, characteristic, complemented
12#21452574C211yesmaximal, characteristic, complemented
13#21452524C211yesmaximal, characteristic, complemented
14#21452500C211yesmaximal, characteristic, complemented
15#21452432C211yesmaximal, characteristic, complemented
16#21452431C211yesmaximal, characteristic, complemented
17#21452260C211yesmaximal, characteristic, complemented
18#21452058C211yesmaximal, characteristic, complemented
19#21451602C211yesmaximal, characteristic, complemented
20#21451565C211yesmaximal, characteristic, complemented
21#21450749C211yesmaximal, characteristic, complemented
22#21450714C211yesmaximal, characteristic, complemented
23#21449540C211yesmaximal, characteristic, complemented
24#21449370C211yesmaximal, characteristic, complemented
25#21449349C211yesmaximal, characteristic, complemented
26#21449283C211yesmaximal, characteristic, complemented
27#21449258C211yesmaximal, characteristic, complemented
28#21448517C211yesmaximal, characteristic, complemented
29#21448447C211yesmaximal, characteristic, complemented
30C2×#16839636C211yesmaximal, characteristic, complemented
31C61×#2419C211yesmaximal, characteristic, complemented
32C23×C4×D61C2211yescharacteristic
33C2×#14519767C2211yescharacteristic, complemented
34C2×#14519762C2211yescharacteristic
35C2×#14519760C2211yescharacteristic
36C2×#14519760C2211yescharacteristic
37C2×#14519759C2211yescharacteristic
38C2×#14519759C2211yescharacteristic
39C2×#14519752C2211yescharacteristic
40C2×#14519752C2211yescharacteristic
41C2×#14519751C2211yescharacteristic
42C2×#14519751C2211yescharacteristic
43C2×#14519750C2211yescharacteristic, complemented
44C2×#14519749C2211yescharacteristic
45C2×#14519749C2211yescharacteristic
46C2×#14519747C2211yescharacteristic
47C2×#14519747C2211yescharacteristic
48C2×#14519745C2211yescharacteristic
49C2×C4×C22⋊D61C2211yescharacteristic
50C2×#14519737C2211yescharacteristic
51C22×C4⋊Dic61C2211yescharacteristic
52C22×#11758196C2211yescharacteristic
53C22×#11758198C2211yescharacteristic
54C22×#11758198C2211yescharacteristic
55#16839703C2211yescharacteristic, complemented
56#16839702C2211yescharacteristic, complemented
57#16839702C2211yescharacteristic, complemented
58#16839700C2211yescharacteristic, complemented
59#16839699C2211yescharacteristic, complemented
60#16839699C2211yescharacteristic, complemented
61#16839697C2211yescharacteristic
62#16839697C2211yescharacteristic
63#16839697C2211yescharacteristic
64#16839696C2211yescharacteristic, complemented
65#16839696C2211yescharacteristic, complemented
66#16839695C2211yescharacteristic, complemented
67#16839695C2211yescharacteristic, complemented
68#16839694C2211yescharacteristic, complemented
69#16839694C2211yescharacteristic, complemented
70#16839692C2211yescharacteristic, complemented
71#16839691C2211yescharacteristic
72#16839691C2211yescharacteristic, complemented
73#16839689C2211yescharacteristic, complemented
74#16839689C2211yescharacteristic, complemented
75#16839686C2211yescharacteristic
76#16839686C2211yescharacteristic
77#16839686C2211yescharacteristic, complemented
78#16839686C2211yescharacteristic, complemented
79#16839685C2211yescharacteristic, complemented
80#16839685C2211yescharacteristic, complemented
81#16839685C2211yescharacteristic, complemented
82#16839684C2211yescharacteristic
83#16839684C2211yescharacteristic, complemented
84#16839684C2211yescharacteristic, complemented
85#16839680C2211yescharacteristic
86#16839680C2211yescharacteristic
87#16839680C2211yescharacteristic
88#16839680C2211yescharacteristic, complemented
89#16839680C2211yescharacteristic, complemented
90#16839679C2211yescharacteristic
91#16839679C2211yescharacteristic
92#16839678C2211yescharacteristic
93#16839678C2211yescharacteristic, complemented
94#16839678C2211yescharacteristic, complemented
95#16839677C2211yescharacteristic, complemented
96#16839671C2211yescharacteristic
97#16839671C2211yescharacteristic
98#16839671C2211yescharacteristic
99#16839664C2211yescharacteristic
100#16839663C2211yescharacteristic
101#16839663C2211yescharacteristic
102#16839662C2211yescharacteristic
103#16839662C2211yescharacteristic
104#16839662C2211yescharacteristic, complemented
105#16839659C2211yescharacteristic, complemented
106#16839659C2211yescharacteristic, complemented
107#16839659C2211yescharacteristic, complemented
108#16839657C2211yescharacteristic, complemented
109#16839654C2211yescharacteristic, complemented
110#16839653C2211yescharacteristic
111#16839653C2211yescharacteristic, complemented
112#16839652C2211yescharacteristic
113#16839652C2211yescharacteristic, complemented
114#16839651C2211yescharacteristic
115#16839651C2211yescharacteristic
116#16839651C2211yescharacteristic
117#16839651C2211yescharacteristic, complemented
118#16839650C2211yescharacteristic, complemented
119#16839649C2211yescharacteristic, complemented
120#16839646C2211yescharacteristic, complemented
121#16839643C2211yescharacteristic, complemented
122#16839643C2211yescharacteristic, complemented
123#16839642C2211yescharacteristic
124#16839641C2211yescharacteristic
125#16839641C2211yescharacteristic
126#16839641C2211yescharacteristic, complemented
127#16839640C2211yescharacteristic
128#16839640C2211yescharacteristic
129#16839640C2211yescharacteristic
130#16839640C2211yescharacteristic
131#16839640C2211yescharacteristic
132#16839640C2211yescharacteristic
133#16839640C2211yescharacteristic
134#16839640C2211yescharacteristic, complemented
135#16839639C2211yescharacteristic
136#16839639C2211yescharacteristic
137#16839639C2211yescharacteristic
138#16839638C2211yescharacteristic
139#16839638C2211yescharacteristic
140#16839638C2211yescharacteristic, complemented
141#16839637C2211yescharacteristic
142#16839637C2211yescharacteristic
143#16839636C2211yescharacteristic
144#16839636C2211yescharacteristic
145#16839636C2211yescharacteristic
146#16839636C2211yescharacteristic
147#16839636C2211yescharacteristic
148#16839636C2211yescharacteristic
149#16839636C2211yescharacteristic
150#16839636C2211yescharacteristic
151#16839636C2211yescharacteristic
152#16839636C2211yescharacteristic
153#16839635C2211yescharacteristic
154#16839635C2211yescharacteristic, complemented
155#16839633C2211yescharacteristic, complemented
156#16839629C2211yescharacteristic, complemented
157#16839627C2211yescharacteristic, complemented
158#16839626C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic
160#16839624C2211yescharacteristic
161#16839624C2211yescharacteristic, complemented
162#16839621C2211yescharacteristic, complemented
163#16839621C2211yescharacteristic, complemented
164#16839620C2211yescharacteristic
165#16839620C2211yescharacteristic
166#16839619C2211yescharacteristic
167#16839619C2211yescharacteristic
168#16839619C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic
170C22⋊C4×Dic61C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C2×#123×C61C2211yescharacteristic
173C2×C4×D4×C61C2211yescharacteristic
174C61×#400C2211yescharacteristic, complemented
175C61×#398C2211yescharacteristic, complemented
176C61×#397C2211yescharacteristic, complemented
177C61×#397C2211yescharacteristic, complemented
178C61×#387C2211yescharacteristic, complemented
179C61×#387C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic
181C61×#385C2211yescharacteristic
182C61×#385C2211yescharacteristic, complemented
183C61×#381C2211yescharacteristic
184C61×#381C2211yescharacteristic, complemented
185C61×#380C2211yescharacteristic
186C2×#95×C61C2211yescharacteristic
187C24×D61C2311yescharacteristic
188C22×D244C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C22×C4×D61—42no—
203C22×C4×D61—42no—
204C22×C4×D61—42no—
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211#14519767—42no—
212#14519762—42no—
213#14519760—42no—
214#14519760—42no—
215#14519759—42no—
216#14519759—42no—
217#14519752—42no—
218#14519752—42no—
219#14519751—42no—
220#14519751—42no—
221#14519750—42no—
222#14519749—24no—
223#14519749—42no—
224#14519747—42no—
225#14519747—42no—
226#14519745—42no—
227C4×C22⋊D61—42no—
228#14519737—24no—
229C2×C4⋊Dic61—42no—
230C2×C4⋊Dic61C2311yescharacteristic
231C2×C4⋊Dic61C2311yescharacteristic
232C2×C4⋊Dic61C2311yescharacteristic
233C2×C4⋊Dic61C2311yescharacteristic
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×C4⋊Dic61C2311yescharacteristic
239C2×#11758196—42no—
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
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
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×#11758198—24no—
265C2×#11758198—42no—
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×C4×Dic61C2311yescharacteristic
303C2×C4×Dic61C2311yescharacteristic
304C2×C4×Dic61C2311yescharacteristic
305C2×C4×Dic61C2311yescharacteristic
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
332C22×D4×C61C2311yescharacteristic
333C23×C4×C61C2311yescharacteristic
334C23×C4×C61C2311yescharacteristic
335C23×C4×C61C2311yescharacteristic
336C23×C4×C61C2311yescharacteristic
337#123×C61—42no—
338C4×D4×C61—42no—
339C2×C4⋊C4×C61C2311yescharacteristic
340C2×C4⋊C4×C61C2311yescharacteristic
341C2×C4⋊C4×C61C2311yescharacteristic
342C2×C4⋊C4×C61C2311yescharacteristic
343C2×C4⋊C4×C61C2311yescharacteristic
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊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—22no—
384C2×D4×C61—22no—
385C22×C4×C61—22no—
386C22×C4×C61—22no—
387C22×C4×C61—22no—
388C22×C4×C61—22no—
389C22×C4×C61—22no—
390C22×C4×C61—22no—
391C22×C4×C61—41no—
392C22×C4×C61—41no—
393C22×C4×C61—41no—
394C22×C4×C61—41no—
395C22×C4×C61—41no—
396C22×C4×C61—41no—
397C22×C4×C61C2411yescharacteristic
398C22×C4×C61C2411yescharacteristic
399C22×C4×C61C2411yescharacteristic
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C22×C4×C61C2411yescharacteristic
405C22×C4×C61C2411yescharacteristic
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C2×C22⋊D61—22no—
411C2×C22⋊D61—22no—
412C2×C22⋊D61—22no—
413C2×C22⋊D61—22no—
414C2×C22⋊D61—22no—
415C2×C22⋊D61—22no—
416C2×C22⋊D61—22no—
417C2×C22⋊D61—22no—
418C2×C22⋊D61—22no—
419C2×C22⋊D61—41no—
420C2×C22⋊D61—41no—
421C2×C22⋊D61—41no—
422C2×C22⋊D61—41no—
423C2×C22⋊D61—41no—
424C2×C22⋊D61—41no—
425C2×C22⋊D61—41no—
426C2×C22⋊D61—41no—
427C2×C22⋊D61—41no—
428C22×Dic61—22no—
429C22×Dic61—22no—
430C22×Dic61—41no—
431C22×Dic61—41no—
432C22×Dic61—41no—
433C22×Dic61—41no—
434C22×Dic61—41no—
435C22×Dic61—41no—
436C22×Dic61#4114yes—
437C22×Dic61C2411yescharacteristic
438C22×Dic61C2411yescharacteristic
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C22×Dic61C2411yescharacteristic
446C22×Dic61C2411yescharacteristic
447C22×Dic61C2411yescharacteristic
448C22×Dic61C2411yescharacteristic
449C2×D244—22no—
450C2×D244—22no—
451C2×D244—22no—
452C2×D244—22no—
453C2×D244—22no—
454C2×D244—41no—
455C2×D244—41no—
456C2×D244—41no—
457C2×D244—41no—
458C2×D244—41no—
459C2×D244—41no—
460C2×D244—41no—
461C2×D244—41no—
462C2×D244—41no—
463C2×D244—41no—
464C2×C4×D61—22no—
465C2×C4×D61—22no—
466C2×C4×D61—22no—
467C2×C4×D61—22no—
468C2×C4×D61—22no—
469C2×C4×D61—41no—
470C2×C4×D61—41no—
471C2×C4×D61—41no—
472C2×C4×D61—41no—
473C2×C4×D61—41no—
474C2×C4×D61—41no—
475C2×C4×D61—41no—
476C2×C4×D61—41no—
477C2×C4×D61—416no—
478C2×C4×D61—41no—
479C2×C4×D61—41no—
480C2×C4×D61—41no—
481C2×C4×D61—41no—
482C2×C4×D61—41no—
483C4⋊C4×C61—22no—
484C4⋊C4×C61—41no—
485C4⋊C4×C61—41no—
486C4⋊C4×C61—41no—
487C4⋊C4×C61—41no—
488C4⋊C4×C61—41no—
489C4⋊C4×C61—41no—
490C22⋊C4×C61—22no—
491C22⋊C4×C61—22no—
492C22⋊C4×C61—22no—
493C22⋊C4×C61—22no—
494C22⋊C4×C61—41no—
495C22⋊C4×C61—41no—
496C22⋊C4×C61—41no—
497C22⋊C4×C61—41no—
498C42×C61—41no—
499C22⋊Dic61—22no—
500C22⋊Dic61—22no—
501C22⋊Dic61—22no—
502C22⋊Dic61—41no—
503C22⋊Dic61—41no—
504C22⋊Dic61—41no—
505#11758198—22no—
506#11758198—22no—
507#11758198—22no—
508#11758198—22no—
509#11758198—22no—
510#11758198—22no—
511#11758198—22no—
512#11758198—22no—
513#11758198—22no—
514#11758198—22no—
515#11758198—41no—
516#11758198—41no—
517#11758198—41no—
518#11758198—41no—
519#11758198—41no—
520#11758198—41no—
521#11758198—41no—
522#11758198—41no—
523#11758198—41no—
524#11758198—41no—
525#11758198—41no—
526#11758198—41no—
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—
541C4⋊Dic61—41no—
542C4⋊Dic61—41no—
543C4⋊Dic61—41no—
544C4⋊Dic61—41no—
545C4⋊Dic61—41no—
546C4⋊Dic61—41no—
547C4⋊Dic61—41no—
548C4⋊Dic61—41no—
549C4⋊Dic61—41no—
550#11758196—22no—
551#11758196—22no—
552#11758196—22no—
553#11758196—22no—
554#11758196—22no—
555#11758196—41no—
556#11758196—41no—
557#11758196—41no—
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—
568C4×Dic61—22no—
569C4×Dic61—41no—
570C4×Dic61—41no—
571C4×Dic61—41no—
572C23×C61—21no—
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×C61C2×#4112yes—
584C23×C61H(5,𝔽2)12yes—
585C23×C61H(5,𝔽2)12yes—
586C23×C61C2511yescharacteristic
587C22×D61—28no—
588C22×D61—21no—
589C22×D61—21no—
590C22×D61—21no—
591C22×D61—21no—
592C22×D61—21no—
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—21no—
614C22×D61—44no—
615C22×D61—44no—
616C22×D61—44no—
617C22×D61—44no—
618C22×D61—44no—
619C22×D61—44no—
620C22×D61H(5,𝔽2)12yes—
621C22×D612−1+412yes—
622D4×C61—44no—
623C2×C4×C61—21no—
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—44no—
662C2×C4×C61—44no—
663C2×C4×C61—82no—
664C2×C4×C61—82no—
665C2×C4×C61H(5,𝔽2)12yes—
666C22⋊D61—44no—
667C22⋊D61—44no—
668C22⋊D61—82no—
669C22⋊D61—82no—
670C22⋊D61—82no—
671C22⋊D61—82no—
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—21no—
706C2×Dic61—44no—
707C2×Dic61—44no—
708C2×Dic61—82no—
709C2×Dic61C2×#4112yes—
710C2×Dic61C2×#4112yes—
711D244—82no—
712D244—82no—
713D244—82no—
714D244—82no—
715D244—82no—
716C4×D61—44no—
717C4×D61—44no—
718C4×D61—44no—
719C4×D61—44no—
720C4×D61—82no—
721C4×D61—82no—
722#36777—611nomaximal, Sylow
723C22×C61—22no—
724C22×C61—22no—
725C22×C61—22no—
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#54014yes—
737C22×C61C22×#4111yescharacteristic
738C22×C61C2×H(5,𝔽2)11yescharacteristic
739C22×C61C2×H(5,𝔽2)11yescharacteristic
740C22×C61C2×H(5,𝔽2)11yescharacteristic
741C22×C61C2×H(5,𝔽2)11yescharacteristic
742C22×C61C2×2−1+411yescharacteristic
743C22×C61#58511yescharacteristic
744C2×D61—22no—
745C2×D61—22no—
746C2×D61—22no—
747C2×D61—22no—
748C2×D61—22no—
749C2×D61—22no—
750C2×D61—416no—
751C2×D61—41no—
752C2×D61—41no—
753C2×D61—41no—
754C2×D61—41no—
755C2×D61—41no—
756C2×D61—41no—
757C2×D61—41no—
758C2×D61—41no—
759C2×D61—41no—
760C2×D61—41no—
761C2×D61—41no—
762C2×D61—41no—
763C2×D61—41no—
764C2×D61—41no—
765C2×D61—41no—
766C2×D61—41no—
767C2×D61—41no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61—41no—
773C4×C61—22no—
774C4×C61—41no—
775C4×C61—41no—
776C4×C61—41no—
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—
786Dic61—22no—
787Dic61—22no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798#2849—611no—
799#2847—611no—
800#2780—611no—
801#2780—611no—
802#2768—611no—
803#2761—611no—
804#2753—611no—
805#2749—611no—
806#2748—611no—
807#2743—611no—
808#2738—611no—
809#2711—611no—
810#2707—611no—
811#2706—611no—
812#2701—611no—
813#2701—611no—
814#2688—611no—
815#2671—611no—
816#2623—611no—
817#2618—611no—
818#2539—611no—
819#2534—611no—
820#2442—611no—
821#2425—611no—
822#2424—611no—
823#2419D6111yescharacteristic, complemented
824#2418—611no—
825#2416—611no—
826#2325—611no—
827#2318—611no—
828C2×#385—611no—
829C2×C61—24no—
830C2×C61—81no—
831C2×C61C2×#54011yescharacteristic
832C2×C61#349211yescharacteristic
833C2×C61#350511yescharacteristic
834C2×C61#353211yescharacteristic
835C2×C61#353411yescharacteristic
836C2×C61#353511yescharacteristic
837C2×C61#353611yescharacteristic
838D61—42no—
839D61—42no—
840D61—81no—
841D61—81no—
842C24×C4—611no—
843C2×#125—611no—
844C2×#123—611no—
845C2×#123—611no—
846C2×#123—611no—
847C2×#123—611no—
848C2×#123—611no—
849C2×#123C2×D6111yescharacteristic
850C2×#121—611no—
851C2×#121—611no—
852C2×#121—611no—
853C2×#121—611no—
854C2×#121—611no—
855C2×#121—611no—
856C2×#121—611no—
857C2×#120—611no—
858C2×#120—611no—
859C2×#120—611no—
860C2×C4×D4—611no—
861C2×C4×D4—611no—
862C2×C4×D4C2×D6111yescharacteristic
863C22×C4⋊C4—611no—
864C22×C4⋊C4—611no—
865C22×C22⋊C4—611no—
866C22×C22⋊C4—611no—
867#400—611no—
868#400—611no—
869#400—611no—
870#400—611no—
871#400C2×D6111yescharacteristic, complemented
872#399—611no—
873#399—611no—
874#399—611no—
875#399—611no—
876#399—611no—
877#398—611no—
878#398—611no—
879#398—611no—
880#398—611no—
881#398—611no—
882#398—611no—
883#398—611no—
884#398C2×D6111yescharacteristic, complemented
885#397—611no—
886#397—611no—
887#397—611no—
888#397—611no—
889#397C2×D6111yescharacteristic, complemented
890#397C2×D6111yescharacteristic, complemented
891#396—611no—
892#396—611no—
893#396—611no—
894#396—611no—
895#396—611no—
896#396—611no—
897#396—611no—
898#396—611no—
899#396—611no—
900#396—611no—
901#394—611no—
902#394—611no—
903#394—611no—
904#394—611no—
905#394—611no—
906#394—611no—
907#394—611no—
908#394—611no—
909#394—611no—
910#394—611no—
911#394—611no—
912#392—611no—
913#392—611no—
914#392—611no—
915#390—611no—
916#390—611no—
917#390—611no—
918#390—611no—
919#390—611no—
920#390—611no—
921#389—611no—
922#389—611no—
923#389—611no—
924#389—611no—
925#388—611no—
926#388—611no—
927#388—611no—
928#388—611no—
929#388—611no—
930#388—611no—
931#388—611no—
932#388—611no—
933#388—611no—
934#388—611no—
935#387—611no—
936#387—611no—
937#387—611no—
938#387—611no—
939#387C2×D6111yescharacteristic, complemented
940#387C2×D6111yescharacteristic, complemented
941#386—611no—
942#386—611no—
943#386—611no—
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#386C2×D6111yescharacteristic
960#385—611no—
961#385—611no—
962#385—611no—
963#385—611no—
964#385—611no—
965#385—611no—
966#385—611no—
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#385C2×D6111yescharacteristic
976#385C2×D6111yescharacteristic, complemented
977#383—611no—
978#382—611no—
979#382—611no—
980#381—611no—
981#381—611no—
982#381—611no—
983#381C2×D6111yescharacteristic
984#381C2×D6111yescharacteristic, complemented
985#380—611no—
986#380—611no—
987#380—611no—
988#380—611no—
989#380—611no—
990#380—611no—
991#380—611no—
992#380C2×D6111yescharacteristic
993#379—611no—
994C4×C22⋊C4—611no—
995C2×#95—611no—
996C2×#95C2×D6111yescharacteristic
997C61#3677711yescharacteristic, complemented, Sylow
998C25—611no—
999C22×D4—611no—
1000C22×D4—611no—
1001C22×D4—611no—
1002C22×D4—611no—
1003C22×D4—611no—
1004C22×D4—611no—
1005C22×D4—611no—
1006C22×D4—611no—
1007C22×D4—611no—
1008C22×D4—611no—
1009C22×D4—611no—
1010C22×D4C22×D6111yescharacteristic
1011C23×C4—611no—
1012C23×C4—611no—
1013C23×C4—611no—
1014C23×C4—611no—
1015C23×C4—611no—
1016C23×C4—611no—
1017C23×C4—611no—
1018C23×C4—611no—
1019C23×C4—611no—
1020C23×C4—2442no—
1021C23×C4—2442no—
1022C23×C4—2442no—
1023C23×C4C22×D6111yescharacteristic
1024C23×C4C22×D6111yescharacteristic
1025C23×C4C22×D6111yescharacteristic
1026C23×C4C22×D6111yescharacteristic
1027#125—2442no—
1028#123—42no—
1029#123—2442no—
1030#123—2442no—
1031#123—2442no—
1032#123—2442no—
1033#123—2442no—
1034#121—1224no—
1035#121—2442no—
1036#121—2442no—
1037#121—2442no—
1038#121—2442no—
1039#121—2442no—
1040#121—2442no—
1041#120—2442no—
1042#120—2442no—
1043#120—2442no—
1044C4×D4—42no—
1045C4×D4—1224no—
1046C4×D4—2442no—
1047C2×C4⋊C4—611no—
1048C2×C4⋊C4—611no—
1049C2×C4⋊C4—611no—
1050C2×C4⋊C4—611no—
1051C2×C4⋊C4—611no—
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—611no—
1074C2×C4⋊C4—2442no—
1075C2×C4⋊C4—2442no—
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×C4⋊C4C22×D6111yescharacteristic
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—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—611no—
1125C2×C22⋊C4—1224no—
1126C2×C22⋊C4—2442no—
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×C22⋊C4C22×D6111yescharacteristic
1135C2×C42—611no—
1136C2×C42—611no—
1137C2×C42—611no—
1138C2×C42—611no—
1139C2×C42C22×D6111yescharacteristic
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#95C22×D6111yescharacteristic
1167#95C22×D6111yescharacteristic
1168#95C22×D6111yescharacteristic
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
1180C24—611no—
1181C24—611no—
1182C24—611no—
1183C24—611no—
1184C24—1222no—
1185C24—1222no—
1186C24—1222no—
1187C24—1222no—
1188C24—1222no—
1189C24—2441no—
1190C24—2441no—
1191C24C23×D6111yescharacteristic
1192C24C23×D6111yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—1222no—
1197C2×D4—1222no—
1198C2×D4—1222no—
1199C2×D4—1222no—
1200C2×D4—1222no—
1201C2×D4—1222no—
1202C2×D4—1222no—
1203C2×D4—1222no—
1204C2×D4—1222no—
1205C2×D4—1222no—
1206C2×D4—1222no—
1207C2×D4—1222no—
1208C2×D4—1222no—
1209C2×D4—1222no—
1210C2×D4—2441no—
1211C2×D4—2441no—
1212C2×D4—2441no—
1213C2×D4—2441no—
1214C2×D4—2441no—
1215C2×D4—2441no—
1216C2×D4—2441no—
1217C2×D4—2441no—
1218C2×D4—2441no—
1219C2×D4—2441no—
1220C2×D4—2441no—
1221C2×D4—2441no—
1222C2×D4—2441no—
1223C2×D4—2441no—
1224C2×D4—2441no—
1225C2×D4—2441no—
1226C2×D4—2441no—
1227C2×D4—2441no—
1228C2×D4—2441no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—611no—
1242C22×C4—611no—
1243C22×C4—614no—
1244C22×C4—611no—
1245C22×C4—611no—
1246C22×C4—611no—
1247C22×C4—611no—
1248C22×C4—611no—
1249C22×C4—611no—
1250C22×C4—611no—
1251C22×C4—611no—
1252C22×C4—611no—
1253C22×C4—611no—
1254C22×C4—1222no—
1255C22×C4—1222no—
1256C22×C4—1222no—
1257C22×C4—1222no—
1258C22×C4—1222no—
1259C22×C4—1222no—
1260C22×C4—1222no—
1261C22×C4—2441no—
1262C22×C4—2441no—
1263C22×C4—2441no—
1264C22×C4—2441no—
1265C22×C4—2441no—
1266C22×C4—2441no—
1267C22×C4—2441no—
1268C22×C4—2441no—
1269C22×C4—2441no—
1270C22×C4—2441no—
1271C22×C4—2441no—
1272C22×C4—2441no—
1273C22×C4—2441no—
1274C22×C4—24416no—
1275C22×C4—2441no—
1276C22×C4—2441no—
1277C22×C4—2441no—
1278C22×C4—2441no—
1279C22×C4—2441no—
1280C22×C4—2441no—
1281C22×C4C23×D6111yescharacteristic
1282C22×C4C23×D6111yescharacteristic
1283C22×C4C23×D6111yescharacteristic
1284C22×C4C23×D6111yescharacteristic
1285C22×C4C23×D6111yescharacteristic
1286C22×C4C23×D6111yescharacteristic
1287C22×C4C23×D6111yescharacteristic
1288C22×C4C23×D6111yescharacteristic
1289C22×C4C23×D6111yescharacteristic
1290C22×C4C23×D6111yescharacteristic
1291C22×C4C23×D6111yescharacteristic
1292C22×C4C23×D6111yescharacteristic
1293C22×C4C23×D6111yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—1222no—
1302C4⋊C4—1222no—
1303C4⋊C4—1222no—
1304C4⋊C4—1222no—
1305C4⋊C4—1222no—
1306C4⋊C4—2441no—
1307C4⋊C4—2441no—
1308C4⋊C4—2441no—
1309C4⋊C4—2441no—
1310C4⋊C4—2441no—
1311C4⋊C4—2441no—
1312C4⋊C4—2441no—
1313C4⋊C4—2441no—
1314C4⋊C4—2441no—
1315C4⋊C4—2441no—
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—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—1222no—
1337C22⋊C4—1222no—
1338C22⋊C4—1222no—
1339C22⋊C4—1222no—
1340C22⋊C4—1222no—
1341C22⋊C4—1222no—
1342C22⋊C4—1222no—
1343C22⋊C4—1222no—
1344C22⋊C4—1222no—
1345C22⋊C4—1222no—
1346C22⋊C4—1222no—
1347C22⋊C4—1222no—
1348C22⋊C4—1222no—
1349C22⋊C4—2441no—
1350C22⋊C4—2441no—
1351C22⋊C4—2441no—
1352C22⋊C4—2441no—
1353C22⋊C4—2441no—
1354C22⋊C4—2441no—
1355C22⋊C4—2441no—
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—
1378C42—41no—
1379C42—1222no—
1380C42—2441no—
1381C42—2441no—
1382C42—2441no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—612no—
1395C23—612no—
1396C23—1228no—
1397C23—1221no—
1398C23—1221no—
1399C23—1221no—
1400C23—1221no—
1401C23—1221no—
1402C23—1221no—
1403C23—1221no—
1404C23—1221no—
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—2444no—
1424C23—2444no—
1425C23—2444no—
1426C23—2444no—
1427C23—2444no—
1428C23—2444no—
1429C23#41×D6112yes—
1430C23#1451982212yes—
1431C23#1451982312yes—
1432C23C24×D6111yescharacteristic
1433D4—44no—
1434D4—4882no—
1435D4—4882no—
1436D4—4882no—
1437D4—4882no—
1438D4—4882no—
1439D4—4882no—
1440D4—4882no—
1441D4—4882no—
1442D4—4882no—
1443D4—2444no—
1444D4—2444no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
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—44no—
1484C2×C4—44no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—612no—
1488C2×C4—612no—
1489C2×C4—1221no—
1490C2×C4—1221no—
1491C2×C4—1221no—
1492C2×C4—1221no—
1493C2×C4—1221no—
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—4882no—
1524C2×C4—4882no—
1525C2×C4—4882no—
1526C2×C4—2444no—
1527C2×C4—2444no—
1528C2×C4—2444no—
1529C2×C4—2444no—
1530C2×C4—2444no—
1531C2×C4—2444no—
1532C2×C4#1451982312yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—1222no—
1547C22—1222no—
1548C22—1222no—
1549C22—1222no—
1550C22—1222no—
1551C22—1222no—
1552C22—24416no—
1553C22—2441no—
1554C22—2441no—
1555C22—2441no—
1556C22—2441no—
1557C22—2441no—
1558C22—2441no—
1559C22—2441no—
1560C22—2441no—
1561C22—2441no—
1562C22—2441no—
1563C22—2441no—
1564C22—2441no—
1565C22—2441no—
1566C22—2441no—
1567C22—2441no—
1568C22—2441no—
1569C22—2441no—
1570C22—2441no—
1571C22—2441no—
1572C22—2441no—
1573C22—2441no—
1574C22—2441no—
1575C22#1684036414yes—
1576C22C2×#41×D6111yescharacteristic
1577C22H(5,𝔽2)×D6111yescharacteristic
1578C22C2×#1451982211yescharacteristic
1579C22C2×#1451982311yescharacteristic
1580C22C2×#1451982311yescharacteristic
1581C222−1+4×D6111yescharacteristic
1582C22#1684059811yescharacteristic
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—1222no—
1597C4—1222no—
1598C4—2441no—
1599C4—2441no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C4—2441no—
1608C2—24no—
1609C2—81no—
1610C2—4881no—
1611C2—4881no—
1612C2—2442no—
1613C2—2442no—
1614C2C2×#1684036411yescharacteristic
1615C2#2145952411yescharacteristic
1616C2#2145965411yescharacteristic
1617C2#2145997511yescharacteristic
1618C2#2146000411yescharacteristic
1619C2#2146003111yescharacteristic
1620C2#2146004211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2419C2
hypercenter#2419D61
hypocenterC61#36777
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
1. #21454110C2semidirect
2. #21454102C2semidirect
3. #21453466C2semidirect
4. #21453465C2semidirect
5. #21453304C2semidirect
6. #21453201C2semidirect
7. #21453103C2semidirect
8. #21453038C2semidirect
9. #21453027C2semidirect
10. #21452951C2semidirect
11. #21452884C2semidirect
12. #21452574C2semidirect
13. #21452524C2semidirect
14. #21452500C2semidirect
15. #21452432C2semidirect
16. #21452431C2semidirect
17. #21452260C2semidirect
18. #21452058C2semidirect
19. #21451602C2semidirect
20. #21451565C2semidirect
21. #21450749C2semidirect
22. #21450714C2semidirect
23. #21449540C2semidirect
24. #21449370C2semidirect
25. #21449349C2semidirect
26. #21449283C2semidirect
27. #21449258C2semidirect
28. #21448517C2semidirect
29. #21448447C2semidirect
30. C2×#16839636C2semidirect
31. C61×#2419C2semidirect
33. C2×#14519767C22semidirect
43. C2×#14519750C22semidirect
55. #16839703C22semidirect
56. #16839702C22semidirect
57. #16839702C22semidirect
58. #16839700C22semidirect
59. #16839699C22semidirect
60. #16839699C22semidirect
64. #16839696C22semidirect
65. #16839696C22semidirect
66. #16839695C22semidirect
67. #16839695C22semidirect
68. #16839694C22semidirect
69. #16839694C22semidirect
70. #16839692C22semidirect
72. #16839691C22semidirect
73. #16839689C22semidirect
74. #16839689C22semidirect
77. #16839686C22semidirect
78. #16839686C22semidirect
79. #16839685C22semidirect
80. #16839685C22semidirect
81. #16839685C22semidirect
83. #16839684C22semidirect
84. #16839684C22semidirect
88. #16839680C22semidirect
89. #16839680C22semidirect
93. #16839678C22semidirect
94. #16839678C22semidirect
95. #16839677C22semidirect
104. #16839662C22semidirect
105. #16839659C22semidirect
106. #16839659C22semidirect
107. #16839659C22semidirect
108. #16839657C22semidirect
109. #16839654C22semidirect
111. #16839653C22semidirect
113. #16839652C22semidirect
117. #16839651C22semidirect
118. #16839650C22semidirect
119. #16839649C22semidirect
120. #16839646C22semidirect
121. #16839643C22semidirect
122. #16839643C22semidirect
126. #16839641C22semidirect
134. #16839640C22semidirect
140. #16839638C22semidirect
154. #16839635C22semidirect
155. #16839633C22semidirect
156. #16839629C22semidirect
157. #16839627C22semidirect
158. #16839626C22semidirect
161. #16839624C22semidirect
162. #16839621C22semidirect
163. #16839621C22semidirect
168. #16839619C22semidirect
174. C61×#400C22semidirect
175. C61×#398C22semidirect
176. C61×#397C22semidirect
177. C61×#397C22semidirect
178. C61×#387C22semidirect
179. C61×#387C22semidirect
182. C61×#385C22semidirect
184. C61×#381C22semidirect
823. #2419D61semidirect
871. #400C2×D61semidirect
884. #398C2×D61semidirect
889. #397C2×D61semidirect
890. #397C2×D61semidirect
939. #387C2×D61semidirect
940. #387C2×D61semidirect
976. #385C2×D61semidirect
984. #381C2×D61semidirect
997. C61#36777semidirect

Maximal subgroups

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

subgroupindex
#214541102
#214541022
#214534662
#214534652
#214533042
#214532012
#214531032
#214530382
#214530272
#214529512
#214528842
#214525742
#214525242
#214525002
#214524322
#214524312
#214522602
#214520582
#214516022
#214515652
#214507492
#214507142
#214495402
#214493702
#214493492
#214492832
#214492582
#214485172
#214484472
C2×#168396362
C61×#24192
#3677761