Finite Group Databasebeta

← #29888376

Subgroups — #29888376

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#21454100C211yesmaximal, characteristic, complemented
3#21453468C211yesmaximal, characteristic, complemented
4#21453462C211yesmaximal, characteristic, complemented
5#21453300C211yesmaximal, characteristic, complemented
6#21453209C211yesmaximal, characteristic, complemented
7#21453036C211yesmaximal, characteristic, complemented
8#21453030C211yesmaximal, characteristic, complemented
9#21452952C211yesmaximal, characteristic, complemented
10#21452882C211yesmaximal, characteristic, complemented
11#21452569C211yesmaximal, characteristic, complemented
12#21452519C211yesmaximal, characteristic, complemented
13#21452500C211yesmaximal, characteristic, complemented
14#21452434C211yesmaximal, characteristic, complemented
15#21452429C211yesmaximal, characteristic, complemented
16#21452261C211yesmaximal, characteristic, complemented
17#21452048C211yesmaximal, characteristic, complemented
18#21451606C211yesmaximal, characteristic, complemented
19#21451560C211yesmaximal, characteristic, complemented
20#21450748C211yesmaximal, characteristic, complemented
21#21450704C211yesmaximal, characteristic, complemented
22#21449546C211yesmaximal, characteristic, complemented
23#21449375C211yesmaximal, characteristic, complemented
24#21449358C211yesmaximal, characteristic, complemented
25#21449291C211yesmaximal, characteristic, complemented
26#21449288C211yesmaximal, characteristic, complemented
27#21449252C211yesmaximal, characteristic, complemented
28#21448523C211yesmaximal, characteristic, complemented
29#21448449C211yesmaximal, characteristic, complemented
30#385×D61C211yesmaximal, characteristic, complemented
31C61×#2753C211yesmaximal, characteristic, complemented
32C23×C4×D61C2211yescharacteristic
33C2×#14519768C2211yescharacteristic, complemented
34C2×#14519762C2211yescharacteristic
35C2×#14519762C2211yescharacteristic
36C2×#14519759C2211yescharacteristic
37C2×#14519759C2211yescharacteristic
38C2×#14519759C2211yescharacteristic
39C2×#14519759C2211yescharacteristic
40C2×#14519750C2211yescharacteristic
41C2×#14519750C2211yescharacteristic
42C2×#14519750C2211yescharacteristic
43C2×#14519749C2211yescharacteristic
44C2×#14519749C2211yescharacteristic
45C2×#14519749C2211yescharacteristic, complemented
46C2×#14519748C2211yescharacteristic
47C2×#14519747C2211yescharacteristic
48C2×#14519745C2211yescharacteristic
49C2×#14519745C2211yescharacteristic
50C2×C4×D244C2211yescharacteristic
51C2×#14519737C2211yescharacteristic
52C2×#14519737C2211yescharacteristic
53C2×C4⋊C4×D61C2211yescharacteristic
54C2×C4⋊C4×D61C2211yescharacteristic
55C2×C22⋊C4×D61C2211yescharacteristic
56C2×C22⋊C4×D61C2211yescharacteristic
57#16839703C2211yescharacteristic, complemented
58#16839703C2211yescharacteristic, complemented
59#16839703C2211yescharacteristic, complemented
60#16839701C2211yescharacteristic, complemented
61#16839699C2211yescharacteristic, complemented
62#16839698C2211yescharacteristic
63#16839698C2211yescharacteristic
64#16839697C2211yescharacteristic
65#16839697C2211yescharacteristic, complemented
66#16839696C2211yescharacteristic, complemented
67#16839696C2211yescharacteristic, complemented
68#16839696C2211yescharacteristic, complemented
69#16839696C2211yescharacteristic, complemented
70#16839695C2211yescharacteristic, complemented
71#16839695C2211yescharacteristic, complemented
72#16839694C2211yescharacteristic, complemented
73#16839692C2211yescharacteristic, complemented
74#16839691C2211yescharacteristic, complemented
75#16839691C2211yescharacteristic, complemented
76#16839690C2211yescharacteristic, complemented
77#16839689C2211yescharacteristic
78#16839689C2211yescharacteristic, complemented
79#16839685C2211yescharacteristic
80#16839685C2211yescharacteristic
81#16839685C2211yescharacteristic, complemented
82#16839685C2211yescharacteristic, complemented
83#16839685C2211yescharacteristic, complemented
84#16839685C2211yescharacteristic, complemented
85#16839685C2211yescharacteristic, complemented
86#16839685C2211yescharacteristic, complemented
87#16839684C2211yescharacteristic
88#16839684C2211yescharacteristic, complemented
89#16839680C2211yescharacteristic
90#16839678C2211yescharacteristic
91#16839678C2211yescharacteristic
92#16839678C2211yescharacteristic, complemented
93#16839678C2211yescharacteristic, complemented
94#16839677C2211yescharacteristic
95#16839677C2211yescharacteristic
96#16839676C2211yescharacteristic, complemented
97#16839671C2211yescharacteristic
98#16839670C2211yescharacteristic
99#16839665C2211yescharacteristic
100#16839664C2211yescharacteristic
101#16839662C2211yescharacteristic
102#16839662C2211yescharacteristic
103#16839662C2211yescharacteristic, complemented
104#16839660C2211yescharacteristic, complemented
105#16839660C2211yescharacteristic, complemented
106#16839659C2211yescharacteristic, complemented
107#16839658C2211yescharacteristic, complemented
108#16839655C2211yescharacteristic
109#16839655C2211yescharacteristic, complemented
110#16839654C2211yescharacteristic
111#16839653C2211yescharacteristic
112#16839652C2211yescharacteristic, complemented
113#16839651C2211yescharacteristic
114#16839649C2211yescharacteristic, complemented
115#16839649C2211yescharacteristic, complemented
116#16839646C2211yescharacteristic, complemented
117#16839646C2211yescharacteristic, complemented
118#16839644C2211yescharacteristic, complemented
119#16839644C2211yescharacteristic, complemented
120#16839642C2211yescharacteristic
121#16839642C2211yescharacteristic
122#16839642C2211yescharacteristic
123#16839641C2211yescharacteristic
124#16839640C2211yescharacteristic
125#16839640C2211yescharacteristic
126#16839640C2211yescharacteristic
127#16839639C2211yescharacteristic
128#16839639C2211yescharacteristic, complemented
129#16839638C2211yescharacteristic
130#16839638C2211yescharacteristic
131#16839638C2211yescharacteristic
132#16839638C2211yescharacteristic
133#16839638C2211yescharacteristic
134#16839638C2211yescharacteristic
135#16839638C2211yescharacteristic, complemented
136#16839638C2211yescharacteristic, complemented
137#16839637C2211yescharacteristic
138#16839637C2211yescharacteristic
139#16839637C2211yescharacteristic, complemented
140#16839636C2211yescharacteristic
141#16839636C2211yescharacteristic
142#16839636C2211yescharacteristic
143#16839636C2211yescharacteristic
144#16839636C2211yescharacteristic
145#16839636C2211yescharacteristic, complemented
146#16839635C2211yescharacteristic
147#16839635C2211yescharacteristic
148#16839634C2211yescharacteristic
149#16839634C2211yescharacteristic, complemented
150#16839633C2211yescharacteristic
151#16839633C2211yescharacteristic
152#16839633C2211yescharacteristic
153#16839629C2211yescharacteristic, complemented
154#16839627C2211yescharacteristic, complemented
155#16839624C2211yescharacteristic
156#16839624C2211yescharacteristic
157#16839624C2211yescharacteristic
158#16839623C2211yescharacteristic, complemented
159#16839623C2211yescharacteristic, complemented
160#16839621C2211yescharacteristic
161#16839621C2211yescharacteristic
162#16839621C2211yescharacteristic
163#16839621C2211yescharacteristic, complemented
164#16839620C2211yescharacteristic
165#16839620C2211yescharacteristic, complemented
166#16839620C2211yescharacteristic, complemented
167#16839619C2211yescharacteristic
168#16839617C2211yescharacteristic
169C4×#11758198C2211yescharacteristic
170#95×D61C2211yescharacteristic
171#95×D61C2211yescharacteristic
172C61×#400C2211yescharacteristic, complemented
173C61×#397C2211yescharacteristic, complemented
174C61×#394C2211yescharacteristic
175C61×#394C2211yescharacteristic, complemented
176C61×#394C2211yescharacteristic, complemented
177C61×#392C2211yescharacteristic
178C61×#390C2211yescharacteristic
179C61×#388C2211yescharacteristic
180C61×#388C2211yescharacteristic, complemented
181C61×#388C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic
184C61×#386C2211yescharacteristic
185C61×#385C2211yescharacteristic
186C61×#382C2211yescharacteristic, complemented
187C24×D61C2311yescharacteristic
188C22×D244C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×C22⋊D61C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C22×C4×D61—42no—
201C22×C4×D61—42no—
202C22×C4×D61—42no—
203C22×C4×D61C2311yescharacteristic
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212#14519768—42no—
213#14519762—42no—
214#14519762—42no—
215#14519759—42no—
216#14519759—42no—
217#14519759—42no—
218#14519759—42no—
219#14519750—24no—
220#14519750—42no—
221#14519750—42no—
222#14519749—42no—
223#14519749—42no—
224#14519749—42no—
225#14519748—42no—
226#14519747—42no—
227#14519745—42no—
228#14519745—42no—
229C4×D244—42no—
230#14519737—24no—
231#14519737—42no—
232C2×C4⋊Dic61C2311yescharacteristic
233C2×C4⋊Dic61C2311yescharacteristic
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
260C2×#11758196C2311yescharacteristic
261C4⋊C4×D61—42no—
262C4⋊C4×D61—42no—
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
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
299C22⋊C4×D61—24no—
300C22⋊C4×D61—42no—
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
335C22×D4×C61C2311yescharacteristic
336C22×D4×C61C2311yescharacteristic
337C23×C4×C61C2311yescharacteristic
338C2×C4⋊C4×C61C2311yescharacteristic
339C2×C4⋊C4×C61C2311yescharacteristic
340C2×C4⋊C4×C61C2311yescharacteristic
341C2×C4⋊C4×C61C2311yescharacteristic
342C2×C4⋊C4×C61C2311yescharacteristic
343C2×C22⋊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×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C42×C61C2311yescharacteristic
358C2×C42×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369C24×C61C2411yescharacteristic
370C24×C61C2411yescharacteristic
371C24×C61C2411yescharacteristic
372C23×D61—22no—
373C23×D61—22no—
374C23×D61—22no—
375C23×D61—22no—
376C23×D61—22no—
377C23×D61—41no—
378C23×D61—41no—
379C23×D61C2411yescharacteristic
380C23×D61C2411yescharacteristic
381C23×D61C2411yescharacteristic
382C2×D4×C61—22no—
383C2×D4×C61—22no—
384C2×D4×C61—41no—
385C2×D4×C61—41no—
386C2×D4×C61—41no—
387C2×D4×C61—41no—
388C2×D4×C61—41no—
389C2×D4×C61—41no—
390C2×D4×C61—41no—
391C22×C4×C61—41no—
392C22×C4×C61—41no—
393C22×C4×C61—41no—
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
404C22×C4×C61C2411yescharacteristic
405C22×C4×C61C2411yescharacteristic
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—22no—
413C2×C22⋊D61—22no—
414C2×C22⋊D61—22no—
415C2×C22⋊D61—22no—
416C2×C22⋊D61—22no—
417C2×C22⋊D61—41no—
418C2×C22⋊D61—41no—
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—
427C22×Dic61—22no—
428C22×Dic61—22no—
429C22×Dic61—41no—
430C22×Dic61—41no—
431C22×Dic61—41no—
432C22×Dic61—41no—
433C22×Dic61—41no—
434C22×Dic61—41no—
435C22×Dic61—41no—
436C22×Dic61C2411yescharacteristic
437C22×Dic61C2411yescharacteristic
438C22×Dic61C2411yescharacteristic
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C22×Dic61C2411yescharacteristic
446C22×Dic61C2411yescharacteristic
447C22×Dic61C2411yescharacteristic
448C22×Dic61C2411yescharacteristic
449C2×D244—22no—
450C2×D244—22no—
451C2×D244—22no—
452C2×D244—22no—
453C2×D244—41no—
454C2×D244—41no—
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—22no—
464C2×C4×D61—22no—
465C2×C4×D61—22no—
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—416no—
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—41no—
484C4⋊C4×C61—41no—
485C4⋊C4×C61—41no—
486C4⋊C4×C61—41no—
487C4⋊C4×C61—41no—
488C22⋊C4×C61—22no—
489C22⋊C4×C61—22no—
490C22⋊C4×C61—22no—
491C22⋊C4×C61—22no—
492C22⋊C4×C61—41no—
493C22⋊C4×C61—41no—
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—41no—
507C22⋊Dic61—41no—
508C22⋊Dic61—41no—
509C22⋊Dic61—41no—
510C22⋊Dic61—41no—
511C22⋊Dic61—41no—
512C22⋊Dic61—41no—
513C22⋊Dic61—41no—
514C22⋊Dic61—41no—
515C22⋊Dic61—41no—
516C22⋊Dic61—41no—
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—22no—
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—
540C4⋊Dic61—22no—
541C4⋊Dic61—22no—
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—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×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C612−1+412yes—
593C23×C61C2511yescharacteristic
594C22×D61—21no—
595C22×D61—21no—
596C22×D61—21no—
597C22×D61—21no—
598C22×D61—28no—
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×D61H(5,𝔽2)12yes—
622D4×C61—82no—
623D4×C61—82no—
624D4×C61—82no—
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—44no—
661C2×C4×C61C2×#4112yes—
662C22⋊D61—44no—
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—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—44no—
707C2×Dic61—82no—
708C2×Dic61—82no—
709C2×Dic61C2×#4112yes—
710C2×Dic61H(5,𝔽2)12yes—
711D244—44no—
712D244—82no—
713C4×D61—44no—
714C4×D61—44no—
715C4×D61—44no—
716C4×D61—44no—
717C4×D61—44no—
718C4×D61—44no—
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×C61—41no—
738C22×C61—41no—
739C22×C61—41no—
740C22×C61—41no—
741C22×C61—41no—
742C22×C61—41no—
743C22×C61—41no—
744C22×C61C22×#4111yescharacteristic
745C22×C61C2×H(5,𝔽2)11yescharacteristic
746C22×C61C2×H(5,𝔽2)11yescharacteristic
747C22×C61C2×H(5,𝔽2)11yescharacteristic
748C22×C61C2×H(5,𝔽2)11yescharacteristic
749C22×C61C2×2−1+411yescharacteristic
750C22×C61#58511yescharacteristic
751C2×D61—22no—
752C2×D61—22no—
753C2×D61—22no—
754C2×D61—22no—
755C2×D61—22no—
756C2×D61—22no—
757C2×D61—22no—
758C2×D61—22no—
759C2×D61—22no—
760C2×D61—416no—
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—
785Dic61—22no—
786Dic61—22no—
787Dic61—41no—
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#2753D6111yescharacteristic, complemented
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×C61—81no—
832C2×C61C2×#54011yescharacteristic
833C2×C61#349211yescharacteristic
834C2×C61#350511yescharacteristic
835C2×C61#353211yescharacteristic
836C2×C61#353411yescharacteristic
837C2×C61#353511yescharacteristic
838C2×C61#353611yescharacteristic
839D61—24no—
840D61—42no—
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#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#398—611no—
885#397—611no—
886#397—611no—
887#397—611no—
888#397—611no—
889#397—611no—
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#394C2×D6111yescharacteristic
910#394C2×D6111yescharacteristic, complemented
911#394C2×D6111yescharacteristic, complemented
912#392—611no—
913#392—611no—
914#392C2×D6111yescharacteristic
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#388C2×D6111yescharacteristic
932#388C2×D6111yescharacteristic, complemented
933#388C2×D6111yescharacteristic, complemented
934#388C2×D6111yescharacteristic, complemented
935#387—611no—
936#387—611no—
937#387—611no—
938#387—611no—
939#387—611no—
940#387—611no—
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#386C2×D6111yescharacteristic
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#381—611no—
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×D4C22×D6111yescharacteristic
1009C22×D4C22×D6111yescharacteristic
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—611no—
1074C2×C4⋊C4—611no—
1075C2×C4⋊C4—611no—
1076C2×C4⋊C4—2442no—
1077C2×C4⋊C4—2442no—
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—1224no—
1120C2×C22⋊C4—2442no—
1121C2×C22⋊C4C22×D6111yescharacteristic
1122C2×C22⋊C4C22×D6111yescharacteristic
1123C2×C22⋊C4C22×D6111yescharacteristic
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#95—611no—
1169#95—611no—
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—1222no—
1184C24—1222no—
1185C24—1222no—
1186C24—1222no—
1187C24—1222no—
1188C24—2441no—
1189C24—2441no—
1190C24C23×D6111yescharacteristic
1191C24C23×D6111yescharacteristic
1192C24C23×D6111yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
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—1222no—
1213C2×D4—1222no—
1214C2×D4—1222no—
1215C2×D4—1222no—
1216C2×D4—1222no—
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—41no—
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—611no—
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—1222no—
1258C22×C4—1222no—
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—24416no—
1275C22×C4—2441no—
1276C22×C4—2441no—
1277C22×C4—2441no—
1278C22×C4—2441no—
1279C22×C4—2441no—
1280C22×C4—2441no—
1281C22×C4—2441no—
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—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—1222no—
1300C4⋊C4—1222no—
1301C4⋊C4—1222no—
1302C4⋊C4—1222no—
1303C4⋊C4—1222no—
1304C4⋊C4—1222no—
1305C4⋊C4—2441no—
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—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—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—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—612no—
1404C23—612no—
1405C23—612no—
1406C23—612no—
1407C23—1228no—
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#1451982412yes—
1432C23C24×D6111yescharacteristic
1433D4—82no—
1434D4—82no—
1435D4—82no—
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—44no—
1481C2×C4—612no—
1482C2×C4—612no—
1483C2×C4—1221no—
1484C2×C4—1221no—
1485C2×C4—1221no—
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—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—614no—
1555C22—1222no—
1556C22—1222no—
1557C22—1222no—
1558C22—1222no—
1559C22—1222no—
1560C22—1222no—
1561C22—1222no—
1562C22—1222no—
1563C22—1222no—
1564C22—24416no—
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
1580C22H(5,𝔽2)×D6111yescharacteristic
1581C22C2×#1451982411yescharacteristic
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—1222no—
1596C4—1222no—
1597C4—2441no—
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—81no—
1611C2—1224no—
1612C2—4881no—
1613C2—2442no—
1614C2#540×D6111yescharacteristic
1615C2#2145952311yescharacteristic
1616C2#2145965211yescharacteristic
1617C2#2145997611yescharacteristic
1618C2#2146000211yescharacteristic
1619C2#2146001511yescharacteristic
1620C2#2146004011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2753C2
hypercenter#2753D61
hypocenterC61#36777
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2753

Complements

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

NH ≅ G/Ntype
1. #21454110C2semidirect
2. #21454100C2semidirect
3. #21453468C2semidirect
4. #21453462C2semidirect
5. #21453300C2semidirect
6. #21453209C2semidirect
7. #21453036C2semidirect
8. #21453030C2semidirect
9. #21452952C2semidirect
10. #21452882C2semidirect
11. #21452569C2semidirect
12. #21452519C2semidirect
13. #21452500C2semidirect
14. #21452434C2semidirect
15. #21452429C2semidirect
16. #21452261C2semidirect
17. #21452048C2semidirect
18. #21451606C2semidirect
19. #21451560C2semidirect
20. #21450748C2semidirect
21. #21450704C2semidirect
22. #21449546C2semidirect
23. #21449375C2semidirect
24. #21449358C2semidirect
25. #21449291C2semidirect
26. #21449288C2semidirect
27. #21449252C2semidirect
28. #21448523C2semidirect
29. #21448449C2semidirect
30. #385×D61C2semidirect
31. C61×#2753C2semidirect
33. C2×#14519768C22semidirect
45. C2×#14519749C22semidirect
57. #16839703C22semidirect
58. #16839703C22semidirect
59. #16839703C22semidirect
60. #16839701C22semidirect
61. #16839699C22semidirect
65. #16839697C22semidirect
66. #16839696C22semidirect
67. #16839696C22semidirect
68. #16839696C22semidirect
69. #16839696C22semidirect
70. #16839695C22semidirect
71. #16839695C22semidirect
72. #16839694C22semidirect
73. #16839692C22semidirect
74. #16839691C22semidirect
75. #16839691C22semidirect
76. #16839690C22semidirect
78. #16839689C22semidirect
81. #16839685C22semidirect
82. #16839685C22semidirect
83. #16839685C22semidirect
84. #16839685C22semidirect
85. #16839685C22semidirect
86. #16839685C22semidirect
88. #16839684C22semidirect
92. #16839678C22semidirect
93. #16839678C22semidirect
96. #16839676C22semidirect
103. #16839662C22semidirect
104. #16839660C22semidirect
105. #16839660C22semidirect
106. #16839659C22semidirect
107. #16839658C22semidirect
109. #16839655C22semidirect
112. #16839652C22semidirect
114. #16839649C22semidirect
115. #16839649C22semidirect
116. #16839646C22semidirect
117. #16839646C22semidirect
118. #16839644C22semidirect
119. #16839644C22semidirect
128. #16839639C22semidirect
135. #16839638C22semidirect
136. #16839638C22semidirect
139. #16839637C22semidirect
145. #16839636C22semidirect
149. #16839634C22semidirect
153. #16839629C22semidirect
154. #16839627C22semidirect
158. #16839623C22semidirect
159. #16839623C22semidirect
163. #16839621C22semidirect
165. #16839620C22semidirect
166. #16839620C22semidirect
172. C61×#400C22semidirect
173. C61×#397C22semidirect
175. C61×#394C22semidirect
176. C61×#394C22semidirect
180. C61×#388C22semidirect
181. C61×#388C22semidirect
182. C61×#388C22semidirect
186. C61×#382C22semidirect
804. #2753D61semidirect
871. #400C2×D61semidirect
890. #397C2×D61semidirect
910. #394C2×D61semidirect
911. #394C2×D61semidirect
932. #388C2×D61semidirect
933. #388C2×D61semidirect
934. #388C2×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
#214541102
#214541002
#214534682
#214534622
#214533002
#214532092
#214530362
#214530302
#214529522
#214528822
#214525692
#214525192
#214525002
#214524342
#214524292
#214522612
#214520482
#214516062
#214515602
#214507482
#214507042
#214495462
#214493752
#214493582
#214492912
#214492882
#214492522
#214485232
#214484492
#385×D612
C61×#27532
#3677761