Finite Group Databasebeta

← #29888384

Subgroups — #29888384

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#21454114C211yesmaximal, characteristic, complemented
2#21454100C211yesmaximal, characteristic, complemented
3#21453472C211yesmaximal, characteristic, complemented
4#21453465C211yesmaximal, characteristic, complemented
5#21453301C211yesmaximal, characteristic, complemented
6#21453201C211yesmaximal, characteristic, complemented
7#21453099C211yesmaximal, characteristic, complemented
8#21453043C211yesmaximal, characteristic, complemented
9#21452954C211yesmaximal, characteristic, complemented
10#21452886C211yesmaximal, characteristic, complemented
11#21452571C211yesmaximal, characteristic, complemented
12#21452527C211yesmaximal, characteristic, complemented
13#21452509C211yesmaximal, characteristic, complemented
14#21452425C211yesmaximal, characteristic, complemented
15#21452425C211yesmaximal, characteristic, complemented
16#21452259C211yesmaximal, characteristic, complemented
17#21452052C211yesmaximal, characteristic, complemented
18#21451600C211yesmaximal, characteristic, complemented
19#21451566C211yesmaximal, characteristic, complemented
20#21450746C211yesmaximal, characteristic, complemented
21#21450707C211yesmaximal, characteristic, complemented
22#21449538C211yesmaximal, characteristic, complemented
23#21449365C211yesmaximal, characteristic, complemented
24#21449362C211yesmaximal, characteristic, complemented
25#21449301C211yesmaximal, characteristic, complemented
26#21449284C211yesmaximal, characteristic, complemented
27#21449261C211yesmaximal, characteristic, complemented
28#21448518C211yesmaximal, characteristic, complemented
29#21448454C211yesmaximal, characteristic, complemented
30#385×D61C211yesmaximal, characteristic, complemented
31C61×#2748C211yesmaximal, characteristic, complemented
32C23×C4×D61C2211yescharacteristic
33C2×#14519767C2211yescharacteristic, complemented
34C2×#14519762C2211yescharacteristic
35C2×#14519762C2211yescharacteristic
36C2×#14519762C2211yescharacteristic
37C2×#14519762C2211yescharacteristic
38C2×#14519762C2211yescharacteristic
39C2×#14519759C2211yescharacteristic
40C2×#14519752C2211yescharacteristic
41C2×#14519751C2211yescharacteristic, complemented
42C2×#14519750C2211yescharacteristic
43C2×#14519750C2211yescharacteristic
44C2×#14519750C2211yescharacteristic
45C2×#14519750C2211yescharacteristic
46C2×#14519749C2211yescharacteristic
47C2×#14519747C2211yescharacteristic
48C2×#14519747C2211yescharacteristic
49C2×#14519745C2211yescharacteristic
50C2×C4×D244C2211yescharacteristic
51C2×#14519739C2211yescharacteristic
52C2×C4×C22⋊D61C2211yescharacteristic
53C2×C4⋊C4×D61C2211yescharacteristic
54C2×C4⋊C4×D61C2211yescharacteristic
55C2×C22⋊C4×D61C2211yescharacteristic
56C2×C22⋊C4×D61C2211yescharacteristic
57#16839704C2211yescharacteristic, complemented
58#16839703C2211yescharacteristic, complemented
59#16839703C2211yescharacteristic, complemented
60#16839702C2211yescharacteristic, complemented
61#16839701C2211yescharacteristic, complemented
62#16839697C2211yescharacteristic
63#16839697C2211yescharacteristic, complemented
64#16839697C2211yescharacteristic, complemented
65#16839696C2211yescharacteristic, complemented
66#16839696C2211yescharacteristic, complemented
67#16839695C2211yescharacteristic, complemented
68#16839692C2211yescharacteristic, complemented
69#16839692C2211yescharacteristic, complemented
70#16839692C2211yescharacteristic, complemented
71#16839691C2211yescharacteristic, complemented
72#16839691C2211yescharacteristic, complemented
73#16839691C2211yescharacteristic, complemented
74#16839689C2211yescharacteristic, complemented
75#16839688C2211yescharacteristic
76#16839688C2211yescharacteristic, complemented
77#16839686C2211yescharacteristic
78#16839686C2211yescharacteristic, complemented
79#16839686C2211yescharacteristic, complemented
80#16839685C2211yescharacteristic
81#16839685C2211yescharacteristic
82#16839685C2211yescharacteristic, complemented
83#16839684C2211yescharacteristic, complemented
84#16839684C2211yescharacteristic, complemented
85#16839679C2211yescharacteristic
86#16839679C2211yescharacteristic
87#16839678C2211yescharacteristic
88#16839678C2211yescharacteristic
89#16839678C2211yescharacteristic, complemented
90#16839677C2211yescharacteristic
91#16839677C2211yescharacteristic, complemented
92#16839677C2211yescharacteristic, complemented
93#16839677C2211yescharacteristic, complemented
94#16839677C2211yescharacteristic, complemented
95#16839676C2211yescharacteristic
96#16839672C2211yescharacteristic
97#16839671C2211yescharacteristic
98#16839670C2211yescharacteristic
99#16839663C2211yescharacteristic
100#16839663C2211yescharacteristic
101#16839663C2211yescharacteristic, complemented
102#16839662C2211yescharacteristic
103#16839662C2211yescharacteristic
104#16839658C2211yescharacteristic, complemented
105#16839657C2211yescharacteristic, complemented
106#16839657C2211yescharacteristic, complemented
107#16839657C2211yescharacteristic, complemented
108#16839656C2211yescharacteristic, complemented
109#16839656C2211yescharacteristic, complemented
110#16839656C2211yescharacteristic, complemented
111#16839654C2211yescharacteristic
112#16839654C2211yescharacteristic
113#16839653C2211yescharacteristic
114#16839653C2211yescharacteristic, complemented
115#16839651C2211yescharacteristic, complemented
116#16839650C2211yescharacteristic
117#16839650C2211yescharacteristic
118#16839648C2211yescharacteristic, complemented
119#16839646C2211yescharacteristic, complemented
120#16839643C2211yescharacteristic, complemented
121#16839643C2211yescharacteristic, complemented
122#16839641C2211yescharacteristic
123#16839641C2211yescharacteristic
124#16839641C2211yescharacteristic
125#16839640C2211yescharacteristic
126#16839640C2211yescharacteristic
127#16839640C2211yescharacteristic
128#16839640C2211yescharacteristic
129#16839640C2211yescharacteristic
130#16839640C2211yescharacteristic, complemented
131#16839640C2211yescharacteristic, complemented
132#16839639C2211yescharacteristic
133#16839638C2211yescharacteristic
134#16839638C2211yescharacteristic
135#16839638C2211yescharacteristic
136#16839638C2211yescharacteristic
137#16839638C2211yescharacteristic
138#16839638C2211yescharacteristic, complemented
139#16839637C2211yescharacteristic
140#16839636C2211yescharacteristic
141#16839636C2211yescharacteristic
142#16839636C2211yescharacteristic, complemented
143#16839635C2211yescharacteristic
144#16839634C2211yescharacteristic
145#16839634C2211yescharacteristic
146#16839633C2211yescharacteristic
147#16839633C2211yescharacteristic
148#16839633C2211yescharacteristic
149#16839633C2211yescharacteristic
150#16839633C2211yescharacteristic
151#16839633C2211yescharacteristic
152#16839633C2211yescharacteristic, complemented
153#16839633C2211yescharacteristic, complemented
154#16839629C2211yescharacteristic, complemented
155#16839626C2211yescharacteristic, complemented
156#16839626C2211yescharacteristic, complemented
157#16839625C2211yescharacteristic, complemented
158#16839624C2211yescharacteristic
159#16839624C2211yescharacteristic
160#16839624C2211yescharacteristic
161#16839624C2211yescharacteristic, complemented
162#16839621C2211yescharacteristic
163#16839621C2211yescharacteristic
164#16839621C2211yescharacteristic
165#16839620C2211yescharacteristic
166#16839619C2211yescharacteristic
167#16839619C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic
169#16839609C2211yescharacteristic
170#95×D61C2211yescharacteristic
171#95×D61C2211yescharacteristic
172C61×#399C2211yescharacteristic
173C61×#399C2211yescharacteristic
174C61×#398C2211yescharacteristic, complemented
175C61×#398C2211yescharacteristic, complemented
176C61×#396C2211yescharacteristic, complemented
177C61×#396C2211yescharacteristic, complemented
178C61×#390C2211yescharacteristic
179C61×#387C2211yescharacteristic, complemented
180C61×#387C2211yescharacteristic, complemented
181C61×#386C2211yescharacteristic
182C61×#386C2211yescharacteristic
183C61×#385C2211yescharacteristic
184C61×#385C2211yescharacteristic
185C61×#380C2211yescharacteristic, complemented
186C61×#380C2211yescharacteristic, complemented
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
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
212C22×C4×D61C2311yescharacteristic
213#14519767—42no—
214#14519762—42no—
215#14519762—42no—
216#14519762—42no—
217#14519762—42no—
218#14519762—42no—
219#14519759—42no—
220#14519752—24no—
221#14519751—42no—
222#14519750—42no—
223#14519750—42no—
224#14519750—42no—
225#14519750—42no—
226#14519749—42no—
227#14519747—42no—
228#14519747—42no—
229#14519745—42no—
230C4×D244—42no—
231#14519739—42no—
232C4×C22⋊D61—24no—
233C2×C4⋊Dic61C2311yescharacteristic
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
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
256C4⋊C4×D61—42no—
257C4⋊C4×D61—42no—
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C22⋊C4×D61—24no—
299C22⋊C4×D61—42no—
300C2×C4×Dic61C2311yescharacteristic
301C2×C4×Dic61C2311yescharacteristic
302C2×C4×Dic61C2311yescharacteristic
303C2×C4×Dic61C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334C22×D4×C61C2311yescharacteristic
335C23×C4×C61C2311yescharacteristic
336C23×C4×C61C2311yescharacteristic
337C2×C4⋊C4×C61C2311yescharacteristic
338C2×C4⋊C4×C61C2311yescharacteristic
339C2×C4⋊C4×C61C2311yescharacteristic
340C2×C4⋊C4×C61C2311yescharacteristic
341C2×C4⋊C4×C61C2311yescharacteristic
342C2×C4⋊C4×C61C2311yescharacteristic
343C2×C4⋊C4×C61C2311yescharacteristic
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊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×C22⋊C4×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
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×C61—41no—
389C22×C4×C61—41no—
390C22×C4×C61—41no—
391C22×C4×C61C2411yescharacteristic
392C22×C4×C61C2411yescharacteristic
393C22×C4×C61C2411yescharacteristic
394C22×C4×C61C2411yescharacteristic
395C22×C4×C61C2411yescharacteristic
396C22×C4×C61C2411yescharacteristic
397C22×C4×C61C2411yescharacteristic
398C22×C4×C61C2411yescharacteristic
399C22×C4×C61C2411yescharacteristic
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C2×C22⋊D61—22no—
405C2×C22⋊D61—22no—
406C2×C22⋊D61—22no—
407C2×C22⋊D61—22no—
408C2×C22⋊D61—22no—
409C2×C22⋊D61—22no—
410C2×C22⋊D61—22no—
411C2×C22⋊D61—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—
419C2×C22⋊D61—41no—
420C2×C22⋊D61—41no—
421C2×C22⋊D61—41no—
422C22×Dic61—22no—
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—22no—
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—22no—
463C2×C4×D61—41no—
464C2×C4×D61—41no—
465C2×C4×D61—41no—
466C2×C4×D61—41no—
467C2×C4×D61—41no—
468C2×C4×D61—41no—
469C2×C4×D61—41no—
470C2×C4×D61—41no—
471C2×C4×D61—416no—
472C2×C4×D61—41no—
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—
491C4⋊C4×C61—41no—
492C4⋊C4×C61—41no—
493C4⋊C4×C61—41no—
494C22⋊C4×C61—22no—
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—
502C22⋊C4×C61—41no—
503C22⋊C4×C61—41no—
504C42×C61—41no—
505C22⋊Dic61—22no—
506C22⋊Dic61—22no—
507C22⋊Dic61—22no—
508C22⋊Dic61—41no—
509C22⋊Dic61—41no—
510C22⋊Dic61—41no—
511C22⋊Dic61—41no—
512C22⋊Dic61—41no—
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—22no—
523#11758198—22no—
524#11758198—22no—
525#11758198—22no—
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—
543#11758198—41no—
544#11758198—41no—
545C4⋊Dic61—22no—
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—
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×C61—21no—
584C23×C61—21no—
585C23×C612−1+412yes—
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×D61H(5,𝔽2)12yes—
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×C61—82no—
663C2×C4×C61C2×#4112yes—
664C22⋊D61—44no—
665C22⋊D61—82no—
666C22⋊D61—82no—
667C22⋊D61—82no—
668C22⋊D61—82no—
669C22⋊D61—82no—
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—44no—
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#2761—611no—
804#2753—611no—
805#2749—611no—
806#2748D6111yescharacteristic, complemented
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#399C2×D6111yescharacteristic
876#399C2×D6111yescharacteristic
877#398—611no—
878#398—611no—
879#398—611no—
880#398—611no—
881#398—611no—
882#398—611no—
883#398C2×D6111yescharacteristic, complemented
884#398C2×D6111yescharacteristic, complemented
885#397—611no—
886#397—611no—
887#397—611no—
888#397—611no—
889#397—611no—
890#397—611no—
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, complemented
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#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#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#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#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#385C2×D6111yescharacteristic
976#385C2×D6111yescharacteristic
977#383—611no—
978#382—611no—
979#382—611no—
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#380C2×D6111yescharacteristic, complemented
992#380C2×D6111yescharacteristic, complemented
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—2442no—
1023C23×C4—2442no—
1024C23×C4—2442no—
1025C23×C4C22×D6111yescharacteristic
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—2442no—
1071C2×C4⋊C4—2442no—
1072C2×C4⋊C4C22×D6111yescharacteristic
1073C2×C4⋊C4C22×D6111yescharacteristic
1074C2×C4⋊C4C22×D6111yescharacteristic
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—611no—
1123C2×C22⋊C4—1224no—
1124C2×C22⋊C4—2442no—
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×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#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—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—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—611no—
1236C22×C4—611no—
1237C22×C4—614no—
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—611no—
1247C22×C4—611no—
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—1222no—
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—2441no—
1277C22×C4—2441no—
1278C22×C4—24416no—
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—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—1222no—
1306C4⋊C4—1222no—
1307C4⋊C4—1222no—
1308C4⋊C4—1222no—
1309C4⋊C4—1222no—
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—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
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—1222no—
1350C22⋊C4—1222no—
1351C22⋊C4—1222no—
1352C22⋊C4—1222no—
1353C22⋊C4—1222no—
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—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#1451982512yes—
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—82no—
1485C2×C4—612no—
1486C2×C4—612no—
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—1221no—
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
1580C22H(5,𝔽2)×D6111yescharacteristic
1581C22C2×#1451982511yescharacteristic
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#2145952711yescharacteristic
1616C2#2145965011yescharacteristic
1617C2#2145997211yescharacteristic
1618C2#2146000211yescharacteristic
1619C2#2146002311yescharacteristic
1620C2#2146004511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2748C2
hypercenter#2748D61
hypocenterC61#36777
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2748

Complements

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

NH ≅ G/Ntype
1. #21454114C2semidirect
2. #21454100C2semidirect
3. #21453472C2semidirect
4. #21453465C2semidirect
5. #21453301C2semidirect
6. #21453201C2semidirect
7. #21453099C2semidirect
8. #21453043C2semidirect
9. #21452954C2semidirect
10. #21452886C2semidirect
11. #21452571C2semidirect
12. #21452527C2semidirect
13. #21452509C2semidirect
14. #21452425C2semidirect
15. #21452425C2semidirect
16. #21452259C2semidirect
17. #21452052C2semidirect
18. #21451600C2semidirect
19. #21451566C2semidirect
20. #21450746C2semidirect
21. #21450707C2semidirect
22. #21449538C2semidirect
23. #21449365C2semidirect
24. #21449362C2semidirect
25. #21449301C2semidirect
26. #21449284C2semidirect
27. #21449261C2semidirect
28. #21448518C2semidirect
29. #21448454C2semidirect
30. #385×D61C2semidirect
31. C61×#2748C2semidirect
33. C2×#14519767C22semidirect
41. C2×#14519751C22semidirect
57. #16839704C22semidirect
58. #16839703C22semidirect
59. #16839703C22semidirect
60. #16839702C22semidirect
61. #16839701C22semidirect
63. #16839697C22semidirect
64. #16839697C22semidirect
65. #16839696C22semidirect
66. #16839696C22semidirect
67. #16839695C22semidirect
68. #16839692C22semidirect
69. #16839692C22semidirect
70. #16839692C22semidirect
71. #16839691C22semidirect
72. #16839691C22semidirect
73. #16839691C22semidirect
74. #16839689C22semidirect
76. #16839688C22semidirect
78. #16839686C22semidirect
79. #16839686C22semidirect
82. #16839685C22semidirect
83. #16839684C22semidirect
84. #16839684C22semidirect
89. #16839678C22semidirect
91. #16839677C22semidirect
92. #16839677C22semidirect
93. #16839677C22semidirect
94. #16839677C22semidirect
101. #16839663C22semidirect
104. #16839658C22semidirect
105. #16839657C22semidirect
106. #16839657C22semidirect
107. #16839657C22semidirect
108. #16839656C22semidirect
109. #16839656C22semidirect
110. #16839656C22semidirect
114. #16839653C22semidirect
115. #16839651C22semidirect
118. #16839648C22semidirect
119. #16839646C22semidirect
120. #16839643C22semidirect
121. #16839643C22semidirect
130. #16839640C22semidirect
131. #16839640C22semidirect
138. #16839638C22semidirect
142. #16839636C22semidirect
152. #16839633C22semidirect
153. #16839633C22semidirect
154. #16839629C22semidirect
155. #16839626C22semidirect
156. #16839626C22semidirect
157. #16839625C22semidirect
161. #16839624C22semidirect
167. #16839619C22semidirect
174. C61×#398C22semidirect
175. C61×#398C22semidirect
176. C61×#396C22semidirect
177. C61×#396C22semidirect
179. C61×#387C22semidirect
180. C61×#387C22semidirect
185. C61×#380C22semidirect
186. C61×#380C22semidirect
806. #2748D61semidirect
883. #398C2×D61semidirect
884. #398C2×D61semidirect
899. #396C2×D61semidirect
900. #396C2×D61semidirect
939. #387C2×D61semidirect
940. #387C2×D61semidirect
991. #380C2×D61semidirect
992. #380C2×D61semidirect
997. C61#36777semidirect

Maximal subgroups

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

subgroupindex
#214541142
#214541002
#214534722
#214534652
#214533012
#214532012
#214530992
#214530432
#214529542
#214528862
#214525712
#214525272
#214525092
#214524252
#214522592
#214520522
#214516002
#214515662
#214507462
#214507072
#214495382
#214493652
#214493622
#214493012
#214492842
#214492612
#214485182
#214484542
#385×D612
C61×#27482
#3677761