Finite Group Databasebeta

← #29888390

Subgroups — #29888390

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#21454112C211yesmaximal, characteristic, complemented
2#21454100C211yesmaximal, characteristic, complemented
3#21453470C211yesmaximal, characteristic, complemented
4#21453460C211yesmaximal, characteristic, complemented
5#21453298C211yesmaximal, characteristic, complemented
6#21453092C211yesmaximal, characteristic, complemented
7#21453047C211yesmaximal, characteristic, complemented
8#21453027C211yesmaximal, characteristic, complemented
9#21452955C211yesmaximal, characteristic, complemented
10#21452887C211yesmaximal, characteristic, complemented
11#21452573C211yesmaximal, characteristic, complemented
12#21452521C211yesmaximal, characteristic, complemented
13#21452510C211yesmaximal, characteristic, complemented
14#21452433C211yesmaximal, characteristic, complemented
15#21452430C211yesmaximal, characteristic, complemented
16#21452248C211yesmaximal, characteristic, complemented
17#21452061C211yesmaximal, characteristic, complemented
18#21451598C211yesmaximal, characteristic, complemented
19#21451562C211yesmaximal, characteristic, complemented
20#21450748C211yesmaximal, characteristic, complemented
21#21450710C211yesmaximal, characteristic, complemented
22#21449546C211yesmaximal, characteristic, complemented
23#21449373C211yesmaximal, characteristic, complemented
24#21449360C211yesmaximal, characteristic, complemented
25#21449301C211yesmaximal, characteristic, complemented
26#21449274C211yesmaximal, characteristic, complemented
27#21449254C211yesmaximal, characteristic, complemented
28#21448523C211yesmaximal, characteristic, complemented
29#21448451C211yesmaximal, characteristic, complemented
30#385×D61C211yesmaximal, characteristic, complemented
31C61×#2761C211yesmaximal, characteristic, complemented
32C23×C4×D61C2211yescharacteristic
33C2×#14519768C2211yescharacteristic, complemented
34C2×#14519762C2211yescharacteristic
35C2×#14519762C2211yescharacteristic
36C2×#14519761C2211yescharacteristic
37C2×#14519760C2211yescharacteristic
38C2×#14519759C2211yescharacteristic
39C2×#14519758C2211yescharacteristic
40C2×#14519752C2211yescharacteristic
41C2×#14519750C2211yescharacteristic
42C2×#14519750C2211yescharacteristic
43C2×#14519750C2211yescharacteristic
44C2×#14519750C2211yescharacteristic
45C2×#14519750C2211yescharacteristic, complemented
46C2×#14519749C2211yescharacteristic
47C2×#14519747C2211yescharacteristic
48C2×#14519747C2211yescharacteristic
49C2×#14519745C2211yescharacteristic
50C2×C4×D244C2211yescharacteristic
51C2×#14519739C2211yescharacteristic
52C2×#14519737C2211yescharacteristic
53C2×C4⋊C4×D61C2211yescharacteristic
54C2×C4⋊C4×D61C2211yescharacteristic
55C2×C22⋊C4×D61C2211yescharacteristic
56C2×C22⋊C4×D61C2211yescharacteristic
57#16839704C2211yescharacteristic, complemented
58#16839704C2211yescharacteristic, complemented
59#16839703C2211yescharacteristic, complemented
60#16839703C2211yescharacteristic, complemented
61#16839702C2211yescharacteristic, complemented
62#16839698C2211yescharacteristic
63#16839698C2211yescharacteristic, complemented
64#16839698C2211yescharacteristic, complemented
65#16839697C2211yescharacteristic
66#16839697C2211yescharacteristic
67#16839696C2211yescharacteristic, complemented
68#16839696C2211yescharacteristic, complemented
69#16839696C2211yescharacteristic, complemented
70#16839694C2211yescharacteristic, complemented
71#16839693C2211yescharacteristic, complemented
72#16839693C2211yescharacteristic, complemented
73#16839692C2211yescharacteristic, complemented
74#16839691C2211yescharacteristic, complemented
75#16839691C2211yescharacteristic, complemented
76#16839690C2211yescharacteristic
77#16839687C2211yescharacteristic, complemented
78#16839686C2211yescharacteristic, complemented
79#16839686C2211yescharacteristic, complemented
80#16839686C2211yescharacteristic, complemented
81#16839684C2211yescharacteristic
82#16839684C2211yescharacteristic
83#16839684C2211yescharacteristic, complemented
84#16839684C2211yescharacteristic, complemented
85#16839684C2211yescharacteristic, complemented
86#16839680C2211yescharacteristic, complemented
87#16839679C2211yescharacteristic
88#16839679C2211yescharacteristic, complemented
89#16839679C2211yescharacteristic, complemented
90#16839678C2211yescharacteristic
91#16839678C2211yescharacteristic
92#16839678C2211yescharacteristic
93#16839678C2211yescharacteristic, complemented
94#16839678C2211yescharacteristic, complemented
95#16839677C2211yescharacteristic
96#16839672C2211yescharacteristic
97#16839671C2211yescharacteristic
98#16839670C2211yescharacteristic
99#16839664C2211yescharacteristic
100#16839664C2211yescharacteristic
101#16839662C2211yescharacteristic
102#16839662C2211yescharacteristic
103#16839662C2211yescharacteristic, complemented
104#16839660C2211yescharacteristic, complemented
105#16839658C2211yescharacteristic, complemented
106#16839658C2211yescharacteristic, complemented
107#16839657C2211yescharacteristic, complemented
108#16839656C2211yescharacteristic
109#16839656C2211yescharacteristic
110#16839654C2211yescharacteristic, complemented
111#16839653C2211yescharacteristic, complemented
112#16839652C2211yescharacteristic
113#16839652C2211yescharacteristic, complemented
114#16839651C2211yescharacteristic
115#16839651C2211yescharacteristic, complemented
116#16839649C2211yescharacteristic, complemented
117#16839648C2211yescharacteristic, complemented
118#16839646C2211yescharacteristic, complemented
119#16839646C2211yescharacteristic, complemented
120#16839641C2211yescharacteristic
121#16839640C2211yescharacteristic
122#16839640C2211yescharacteristic
123#16839640C2211yescharacteristic
124#16839640C2211yescharacteristic
125#16839640C2211yescharacteristic
126#16839640C2211yescharacteristic
127#16839640C2211yescharacteristic
128#16839640C2211yescharacteristic
129#16839640C2211yescharacteristic
130#16839639C2211yescharacteristic
131#16839639C2211yescharacteristic, complemented
132#16839639C2211yescharacteristic, complemented
133#16839638C2211yescharacteristic
134#16839638C2211yescharacteristic
135#16839638C2211yescharacteristic
136#16839638C2211yescharacteristic
137#16839638C2211yescharacteristic, complemented
138#16839637C2211yescharacteristic
139#16839637C2211yescharacteristic, complemented
140#16839636C2211yescharacteristic
141#16839636C2211yescharacteristic
142#16839636C2211yescharacteristic
143#16839636C2211yescharacteristic
144#16839636C2211yescharacteristic
145#16839636C2211yescharacteristic
146#16839636C2211yescharacteristic
147#16839636C2211yescharacteristic, complemented
148#16839635C2211yescharacteristic
149#16839634C2211yescharacteristic
150#16839633C2211yescharacteristic
151#16839633C2211yescharacteristic
152#16839633C2211yescharacteristic
153#16839633C2211yescharacteristic, complemented
154#16839629C2211yescharacteristic, complemented
155#16839626C2211yescharacteristic, complemented
156#16839624C2211yescharacteristic
157#16839624C2211yescharacteristic, complemented
158#16839624C2211yescharacteristic, complemented
159#16839623C2211yescharacteristic
160#16839621C2211yescharacteristic
161#16839621C2211yescharacteristic
162#16839621C2211yescharacteristic
163#16839621C2211yescharacteristic, complemented
164#16839620C2211yescharacteristic
165#16839620C2211yescharacteristic, complemented
166#16839619C2211yescharacteristic
167#16839619C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic
169C4×#11758198C2211yescharacteristic
170#95×D61C2211yescharacteristic
171#95×D61C2211yescharacteristic
172C61×#398C2211yescharacteristic, complemented
173C61×#397C2211yescharacteristic, complemented
174C61×#397C2211yescharacteristic, complemented
175C61×#396C2211yescharacteristic
176C61×#396C2211yescharacteristic, complemented
177C61×#394C2211yescharacteristic
178C61×#390C2211yescharacteristic
179C61×#388C2211yescharacteristic
180C61×#388C2211yescharacteristic, complemented
181C61×#387C2211yescharacteristic, complemented
182C61×#387C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic
184C61×#385C2211yescharacteristic
185C61×#382C2211yescharacteristic, complemented
186C61×#381C2211yescharacteristic
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
201C22×C4×D61—42no—
202C22×C4×D61—42no—
203C22×C4×D61—42no—
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214#14519768—42no—
215#14519762—42no—
216#14519762—42no—
217#14519761—42no—
218#14519760—42no—
219#14519759—42no—
220#14519758—42no—
221#14519752—42no—
222#14519750—24no—
223#14519750—42no—
224#14519750—42no—
225#14519750—42no—
226#14519750—42no—
227#14519749—42no—
228#14519747—42no—
229#14519747—42no—
230#14519745—42no—
231C4×D244—42no—
232#14519739—24no—
233#14519737—42no—
234C2×C4⋊Dic61C2311yescharacteristic
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
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C4⋊C4×D61—42no—
261C4⋊C4×D61—42no—
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
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
301C22⋊C4×D61—24no—
302C22⋊C4×D61—42no—
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
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334C22×D4×C61C2311yescharacteristic
335C23×C4×C61C2311yescharacteristic
336C2×C4⋊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×C22⋊C4×C61C2311yescharacteristic
355C2×C42×C61C2311yescharacteristic
356C2×C42×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—41no—
387C22×C4×C61—41no—
388C22×C4×C61C2411yescharacteristic
389C22×C4×C61C2411yescharacteristic
390C22×C4×C61C2411yescharacteristic
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
401C2×C22⋊D61—22no—
402C2×C22⋊D61—22no—
403C2×C22⋊D61—22no—
404C2×C22⋊D61—22no—
405C2×C22⋊D61—22no—
406C2×C22⋊D61—22no—
407C2×C22⋊D61—22no—
408C2×C22⋊D61—22no—
409C2×C22⋊D61—41no—
410C2×C22⋊D61—41no—
411C2×C22⋊D61—41no—
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—
419C22×Dic61—22no—
420C22×Dic61—22no—
421C22×Dic61—41no—
422C22×Dic61—41no—
423C22×Dic61—41no—
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
437C2×D244—22no—
438C2×D244—22no—
439C2×D244—22no—
440C2×D244—22no—
441C2×D244—22no—
442C2×D244—22no—
443C2×D244—22no—
444C2×D244—22no—
445C2×D244—41no—
446C2×D244—41no—
447C2×D244—41no—
448C2×D244—41no—
449C2×D244—41no—
450C2×D244—41no—
451C2×D244—41no—
452C2×C4×D61—22no—
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—41no—
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—416no—
473C2×C4×D61—41no—
474C2×C4×D61—41no—
475C2×C4×D61—41no—
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#4114yes—
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—
490C4⋊C4×C61—41no—
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—
498C22⋊C4×C61—41no—
499C22⋊C4×C61—41no—
500C22⋊C4×C61—41no—
501C22⋊C4×C61—41no—
502C42×C61—41no—
503C42×C61—41no—
504C22⋊Dic61—22no—
505C22⋊Dic61—22no—
506C22⋊Dic61—22no—
507C22⋊Dic61—41no—
508C22⋊Dic61—41no—
509C22⋊Dic61—41no—
510C22⋊Dic61—41no—
511#11758198—22no—
512#11758198—22no—
513#11758198—22no—
514#11758198—22no—
515#11758198—22no—
516#11758198—22no—
517#11758198—22no—
518#11758198—22no—
519#11758198—22no—
520#11758198—22no—
521#11758198—22no—
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—
541#11758198—41no—
542#11758198—41no—
543C4⋊Dic61—22no—
544C4⋊Dic61—22no—
545C4⋊Dic61—41no—
546C4⋊Dic61—41no—
547C4⋊Dic61—41no—
548C4⋊Dic61—41no—
549C4⋊Dic61—41no—
550C4⋊Dic61—41no—
551#11758196—22no—
552#11758196—22no—
553#11758196—22no—
554#11758196—41no—
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—
568#11758196—41no—
569C4×Dic61—22no—
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×C61—21no—
584C23×C61—21no—
585C23×C61H(5,𝔽2)12yes—
586C23×C61C2511yescharacteristic
587C22×D61—21no—
588C22×D61—21no—
589C22×D61—21no—
590C22×D61—21no—
591C22×D61—28no—
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—44no—
613C22×D61—44no—
614C22×D61—44no—
615C22×D61—44no—
616C22×D61—44no—
617C22×D61—44no—
618C22×D61C2×#4112yes—
619C22×D61H(5,𝔽2)12yes—
620C22×D61H(5,𝔽2)12yes—
621C22×D612−1+412yes—
622D4×C61—82no—
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×C61C2×#4112yes—
663C22⋊D61—44no—
664C22⋊D61—82no—
665C22⋊D61—82no—
666C22⋊D61—82no—
667C22⋊D61—82no—
668C22⋊D61—82no—
669C2×Dic61—21no—
670C2×Dic61—21no—
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—44no—
704C2×Dic61—82no—
705C2×Dic61C2×#4112yes—
706C2×Dic61H(5,𝔽2)12yes—
707D244—44no—
708D244—44no—
709D244—82no—
710D244—82no—
711D244—82no—
712C4×D61—44no—
713C4×D61—44no—
714C4×D61—44no—
715C4×D61—44no—
716C4×D61—44no—
717C4×D61—44no—
718C4×D61—82no—
719C4×D61—82no—
720C4×D61—82no—
721C4×D61—82no—
722#36777—611nomaximal, Sylow
723C22×C61—22no—
724C22×C61—22no—
725C22×C61—22no—
726C22×C61—41no—
727C22×C61—41no—
728C22×C61—41no—
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×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—22no—
751C2×D61—22no—
752C2×D61—22no—
753C2×D61—416no—
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#54014yes—
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#2761D6111yescharacteristic, complemented
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#2419—611no—
824#2418—611no—
825#2416—611no—
826#2325—611no—
827#2318—611no—
828C2×#385—611no—
829C2×C61—42no—
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—24no—
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×#123—611no—
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×D4—611no—
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#400—611no—
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#396C2×D6111yescharacteristic
900#396C2×D6111yescharacteristic, complemented
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#394C2×D6111yescharacteristic
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#390C2×D6111yescharacteristic
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#388C2×D6111yescharacteristic
934#388C2×D6111yescharacteristic, complemented
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#385—611no—
976#385C2×D6111yescharacteristic
977#383—611no—
978#382—611no—
979#382C2×D6111yescharacteristic, complemented
980#381—611no—
981#381—611no—
982#381—611no—
983#381—611no—
984#381C2×D6111yescharacteristic
985#380—611no—
986#380—611no—
987#380—611no—
988#380—611no—
989#380—611no—
990#380—611no—
991#380—611no—
992#380—611no—
993#379—611no—
994C4×C22⋊C4—611no—
995C2×#95—611no—
996C2×#95—611no—
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—611no—
1021C23×C4—611no—
1022C23×C4—611no—
1023C23×C4—2442no—
1024C23×C4—2442no—
1025C23×C4—2442no—
1026C23×C4C22×D6111yescharacteristic
1027#125—2442no—
1028#123—2442no—
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—1224no—
1045C4×D4—2442no—
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—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×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—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×C22⋊C4C22×D6111yescharacteristic
1135C2×C42—611no—
1136C2×C42—611no—
1137C2×C42—611no—
1138C2×C42C22×D6111yescharacteristic
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#95—611no—
1167#95—611no—
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—41no—
1195C2×D4—41no—
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—1222no—
1211C2×D4—1222no—
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—41no—
1231C22×C4—41no—
1232C22×C4—611no—
1233C22×C4—611no—
1234C22×C4—614no—
1235C22×C4—611no—
1236C22×C4—611no—
1237C22×C4—611no—
1238C22×C4—611no—
1239C22×C4—611no—
1240C22×C4—611no—
1241C22×C4—611no—
1242C22×C4—611no—
1243C22×C4—611no—
1244C22×C4—611no—
1245C22×C4—1222no—
1246C22×C4—1222no—
1247C22×C4—1222no—
1248C22×C4—1222no—
1249C22×C4—1222no—
1250C22×C4—1222no—
1251C22×C4—1222no—
1252C22×C4—1222no—
1253C22×C4—1222no—
1254C22×C4—1222no—
1255C22×C4—1222no—
1256C22×C4—1222no—
1257C22×C4—2441no—
1258C22×C4—2441no—
1259C22×C4—2441no—
1260C22×C4—2441no—
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—2441no—
1275C22×C4—2441no—
1276C22×C4—24416no—
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—41no—
1302C4⋊C4—1222no—
1303C4⋊C4—1222no—
1304C4⋊C4—1222no—
1305C4⋊C4—1222no—
1306C4⋊C4—1222no—
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—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
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—1222no—
1350C22⋊C4—1222no—
1351C22⋊C4—1222no—
1352C22⋊C4—1222no—
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—41no—
1380C42—1222no—
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—21no—
1395C23—21no—
1396C23—612no—
1397C23—612no—
1398C23—612no—
1399C23—612no—
1400C23—1228no—
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—1221no—
1424C23—1221no—
1425C23—2444no—
1426C23—2444no—
1427C23—2444no—
1428C23—2444no—
1429C23—2444no—
1430C23—2444no—
1431C23#1451982312yes—
1432C23C24×D6111yescharacteristic
1433D4—82no—
1434D4—4882no—
1435D4—4882no—
1436D4—4882no—
1437D4—4882no—
1438D4—4882no—
1439D4—4882no—
1440D4—4882no—
1441D4—4882no—
1442D4—2444no—
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—612no—
1485C2×C4—612no—
1486C2×C4—1221no—
1487C2×C4—1221no—
1488C2×C4—1221no—
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—4882no—
1521C2×C4—4882no—
1522C2×C4—4882no—
1523C2×C4—4882no—
1524C2×C4—4882no—
1525C2×C4—2444no—
1526C2×C4—2444no—
1527C2×C4—2444no—
1528C2×C4—2444no—
1529C2×C4—2444no—
1530C2×C4—2444no—
1531C2×C4—2444no—
1532C2×C4#41×D6112yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—614no—
1548C22—1222no—
1549C22—1222no—
1550C22—1222no—
1551C22—1222no—
1552C22—1222no—
1553C22—1222no—
1554C22—1222no—
1555C22—1222no—
1556C22—1222no—
1557C22—24416no—
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—2441no—
1576C22C2×#41×D6111yescharacteristic
1577C22H(5,𝔽2)×D6111yescharacteristic
1578C22H(5,𝔽2)×D6111yescharacteristic
1579C22H(5,𝔽2)×D6111yescharacteristic
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—42no—
1609C2—81no—
1610C2—1224no—
1611C2—4881no—
1612C2—4881no—
1613C2—2442no—
1614C2#540×D6111yescharacteristic
1615C2#2145951911yescharacteristic
1616C2#2145965211yescharacteristic
1617C2#2145997011yescharacteristic
1618C2#2146001211yescharacteristic
1619C2#2146002111yescharacteristic
1620C2#2146003811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2761C2
hypercenter#2761D61
hypocenterC61#36777
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2761

Complements

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

NH ≅ G/Ntype
1. #21454112C2semidirect
2. #21454100C2semidirect
3. #21453470C2semidirect
4. #21453460C2semidirect
5. #21453298C2semidirect
6. #21453092C2semidirect
7. #21453047C2semidirect
8. #21453027C2semidirect
9. #21452955C2semidirect
10. #21452887C2semidirect
11. #21452573C2semidirect
12. #21452521C2semidirect
13. #21452510C2semidirect
14. #21452433C2semidirect
15. #21452430C2semidirect
16. #21452248C2semidirect
17. #21452061C2semidirect
18. #21451598C2semidirect
19. #21451562C2semidirect
20. #21450748C2semidirect
21. #21450710C2semidirect
22. #21449546C2semidirect
23. #21449373C2semidirect
24. #21449360C2semidirect
25. #21449301C2semidirect
26. #21449274C2semidirect
27. #21449254C2semidirect
28. #21448523C2semidirect
29. #21448451C2semidirect
30. #385×D61C2semidirect
31. C61×#2761C2semidirect
33. C2×#14519768C22semidirect
45. C2×#14519750C22semidirect
57. #16839704C22semidirect
58. #16839704C22semidirect
59. #16839703C22semidirect
60. #16839703C22semidirect
61. #16839702C22semidirect
63. #16839698C22semidirect
64. #16839698C22semidirect
67. #16839696C22semidirect
68. #16839696C22semidirect
69. #16839696C22semidirect
70. #16839694C22semidirect
71. #16839693C22semidirect
72. #16839693C22semidirect
73. #16839692C22semidirect
74. #16839691C22semidirect
75. #16839691C22semidirect
77. #16839687C22semidirect
78. #16839686C22semidirect
79. #16839686C22semidirect
80. #16839686C22semidirect
83. #16839684C22semidirect
84. #16839684C22semidirect
85. #16839684C22semidirect
86. #16839680C22semidirect
88. #16839679C22semidirect
89. #16839679C22semidirect
93. #16839678C22semidirect
94. #16839678C22semidirect
103. #16839662C22semidirect
104. #16839660C22semidirect
105. #16839658C22semidirect
106. #16839658C22semidirect
107. #16839657C22semidirect
110. #16839654C22semidirect
111. #16839653C22semidirect
113. #16839652C22semidirect
115. #16839651C22semidirect
116. #16839649C22semidirect
117. #16839648C22semidirect
118. #16839646C22semidirect
119. #16839646C22semidirect
131. #16839639C22semidirect
132. #16839639C22semidirect
137. #16839638C22semidirect
139. #16839637C22semidirect
147. #16839636C22semidirect
153. #16839633C22semidirect
154. #16839629C22semidirect
155. #16839626C22semidirect
157. #16839624C22semidirect
158. #16839624C22semidirect
163. #16839621C22semidirect
165. #16839620C22semidirect
167. #16839619C22semidirect
172. C61×#398C22semidirect
173. C61×#397C22semidirect
174. C61×#397C22semidirect
176. C61×#396C22semidirect
180. C61×#388C22semidirect
181. C61×#387C22semidirect
182. C61×#387C22semidirect
185. C61×#382C22semidirect
803. #2761D61semidirect
884. #398C2×D61semidirect
889. #397C2×D61semidirect
890. #397C2×D61semidirect
900. #396C2×D61semidirect
934. #388C2×D61semidirect
939. #387C2×D61semidirect
940. #387C2×D61semidirect
979. #382C2×D61semidirect
997. C61#36777semidirect

Maximal subgroups

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

subgroupindex
#214541122
#214541002
#214534702
#214534602
#214532982
#214530922
#214530472
#214530272
#214529552
#214528872
#214525732
#214525212
#214525102
#214524332
#214524302
#214522482
#214520612
#214515982
#214515622
#214507482
#214507102
#214495462
#214493732
#214493602
#214493012
#214492742
#214492542
#214485232
#214484512
#385×D612
C61×#27612
#3677761