Finite Group Databasebeta

← #29887894

Subgroups — #29887894

Order 15616.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454101C211yesmaximal, characteristic, complemented
2#21453680C211yesmaximal, characteristic, complemented
3#21453476C211yesmaximal, characteristic, complemented
4#21453452C211yesmaximal, characteristic, complemented
5#21453433C211yesmaximal, characteristic, complemented
6#21453431C211yesmaximal, characteristic, complemented
7#21453142C211yesmaximal, characteristic, complemented
8#21453097C211yesmaximal, characteristic, complemented
9#21453043C211yesmaximal, characteristic, complemented
10#21452930C211yesmaximal, characteristic, complemented
11#21452810C211yesmaximal, characteristic, complemented
12#21452616C211yesmaximal, characteristic, complemented
13#21452462C211yesmaximal, characteristic, complemented
14#21452443C211yesmaximal, characteristic, complemented
15#21452363C211yesmaximal, characteristic, complemented
16#21452258C211yesmaximal, characteristic, complemented
17#21452116C211yesmaximal, characteristic, complemented
18#21451534C211yesmaximal, characteristic, complemented
19#21451534C211yesmaximal, characteristic, complemented
20#21450202C211yesmaximal, characteristic, complemented
21#21450151C211yesmaximal, characteristic, complemented
22#21450072C211yesmaximal, characteristic, complemented
23#21449952C211yesmaximal, characteristic, complemented
24#21449368C211yesmaximal, characteristic, complemented
25#21449353C211yesmaximal, characteristic, complemented
26#21449302C211yesmaximal, characteristic, complemented
27#21449287C211yesmaximal, characteristic, complemented
28#21448474C211yesmaximal, characteristic, complemented
29#21448474C211yesmaximal, characteristic, complemented
30C2×#16839641C211yesmaximal, characteristic, complemented
31C61×#2848C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C2×#14519772C2211yescharacteristic, complemented
34C2×#14519766C2211yescharacteristic, complemented
35C2×#14519762C2211yescharacteristic, complemented
36C2×#14519761C2211yescharacteristic
37C2×#14519761C2211yescharacteristic
38C2×#14519752C2211yescharacteristic, complemented
39C2×#14519751C2211yescharacteristic
40C2×#14519751C2211yescharacteristic, complemented
41C2×#14519751C2211yescharacteristic, complemented
42C2×#14519747C2211yescharacteristic
43C2×#14519747C2211yescharacteristic
44C2×#14519746C2211yescharacteristic
45C2×#14519746C2211yescharacteristic
46C2×#14519737C2211yescharacteristic
47C2×#14519737C2211yescharacteristic
48C22×C22⋊Dic61C2211yescharacteristic
49C22×#11758198C2211yescharacteristic
50C22×#11758198C2211yescharacteristic
51C61⋊#401C2211yescharacteristic, complemented
52#16839704C2211yescharacteristic, complemented
53#16839704C2211yescharacteristic, complemented
54#16839701C2211yescharacteristic, complemented
55#16839701C2211yescharacteristic, complemented
56#16839701C2211yescharacteristic, complemented
57#16839700C2211yescharacteristic, complemented
58#16839697C2211yescharacteristic, complemented
59#16839695C2211yescharacteristic, complemented
60#16839694C2211yescharacteristic, complemented
61#16839691C2211yescharacteristic, complemented
62#16839691C2211yescharacteristic, complemented
63#16839691C2211yescharacteristic, complemented
64#16839689C2211yescharacteristic, complemented
65#16839689C2211yescharacteristic, complemented
66#16839688C2211yescharacteristic, complemented
67#16839688C2211yescharacteristic, complemented
68#16839688C2211yescharacteristic, complemented
69#16839688C2211yescharacteristic, complemented
70#16839684C2211yescharacteristic, complemented
71#16839684C2211yescharacteristic, complemented
72#16839684C2211yescharacteristic, complemented
73#16839680C2211yescharacteristic, complemented
74#16839680C2211yescharacteristic, complemented
75#16839679C2211yescharacteristic, complemented
76#16839679C2211yescharacteristic, complemented
77#16839679C2211yescharacteristic, complemented
78#16839679C2211yescharacteristic, complemented
79#16839679C2211yescharacteristic, complemented
80#16839678C2211yescharacteristic
81#16839678C2211yescharacteristic
82#16839678C2211yescharacteristic
83#16839678C2211yescharacteristic
84#16839678C2211yescharacteristic
85#16839678C2211yescharacteristic
86#16839678C2211yescharacteristic
87#16839678C2211yescharacteristic
88#16839673C2211yescharacteristic, complemented
89#16839673C2211yescharacteristic, complemented
90#16839672C2211yescharacteristic, complemented
91#16839671C2211yescharacteristic
92#16839671C2211yescharacteristic
93#16839671C2211yescharacteristic
94#16839671C2211yescharacteristic
95#16839671C2211yescharacteristic
96#16839671C2211yescharacteristic
97#16839671C2211yescharacteristic
98#16839671C2211yescharacteristic
99#16839669C2211yescharacteristic, complemented
100#16839663C2211yescharacteristic, complemented
101#16839663C2211yescharacteristic, complemented
102#16839662C2211yescharacteristic, complemented
103#16839662C2211yescharacteristic, complemented
104#16839662C2211yescharacteristic, complemented
105#16839662C2211yescharacteristic, complemented
106#16839661C2211yescharacteristic, complemented
107#16839656C2211yescharacteristic, complemented
108#16839656C2211yescharacteristic, complemented
109#16839656C2211yescharacteristic, complemented
110#16839656C2211yescharacteristic, complemented
111#16839654C2211yescharacteristic, complemented
112#16839654C2211yescharacteristic, complemented
113#16839654C2211yescharacteristic, complemented
114#16839652C2211yescharacteristic, complemented
115#16839652C2211yescharacteristic, complemented
116#16839652C2211yescharacteristic, complemented
117#16839652C2211yescharacteristic, complemented
118#16839652C2211yescharacteristic, complemented
119#16839652C2211yescharacteristic, complemented
120#16839651C2211yescharacteristic, complemented
121#16839651C2211yescharacteristic, complemented
122#16839650C2211yescharacteristic, complemented
123#16839650C2211yescharacteristic, complemented
124#16839650C2211yescharacteristic, complemented
125#16839650C2211yescharacteristic, complemented
126#16839649C2211yescharacteristic, complemented
127#16839648C2211yescharacteristic, complemented
128#16839648C2211yescharacteristic, complemented
129#16839645C2211yescharacteristic, complemented
130#16839643C2211yescharacteristic, complemented
131#16839641C2211yescharacteristic
132#16839641C2211yescharacteristic
133#16839641C2211yescharacteristic
134#16839641C2211yescharacteristic
135#16839641C2211yescharacteristic
136#16839641C2211yescharacteristic
137#16839641C2211yescharacteristic
138#16839641C2211yescharacteristic
139#16839641C2211yescharacteristic
140#16839641C2211yescharacteristic
141#16839641C2211yescharacteristic, complemented
142#16839641C2211yescharacteristic, complemented
143#16839641C2211yescharacteristic, complemented
144#16839641C2211yescharacteristic, complemented
145#16839640C2211yescharacteristic, complemented
146#16839640C2211yescharacteristic, complemented
147#16839640C2211yescharacteristic, complemented
148#16839639C2211yescharacteristic
149#16839639C2211yescharacteristic
150#16839638C2211yescharacteristic, complemented
151#16839638C2211yescharacteristic, complemented
152#16839638C2211yescharacteristic, complemented
153#16839638C2211yescharacteristic, complemented
154#16839634C2211yescharacteristic
155#16839634C2211yescharacteristic
156#16839633C2211yescharacteristic, complemented
157#16839629C2211yescharacteristic, complemented
158#16839627C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic, complemented
160#16839623C2211yescharacteristic
161#16839623C2211yescharacteristic
162#16839622C2211yescharacteristic
163#16839622C2211yescharacteristic, complemented
164#16839622C2211yescharacteristic, complemented
165#16839619C2211yescharacteristic, complemented
166#16839617C2211yescharacteristic
167#16839617C2211yescharacteristic
168C22⋊C4×Dic61C2211yescharacteristic
169C22⋊C4×Dic61C2211yescharacteristic
170C2×#14519684C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C24×C4×C61C2211yescharacteristic
173C2×C22⋊Q8×C61C2211yescharacteristic
174C2×C22⋊Q8×C61C2211yescharacteristic, complemented
175C2×C22⋊Q8×C61C2211yescharacteristic, complemented
176C61×#385C2211yescharacteristic
177C61×#385C2211yescharacteristic
178C61×#385C2211yescharacteristic, complemented
179C61×#385C2211yescharacteristic, complemented
180C61×#385C2211yescharacteristic, complemented
181C61×#385C2211yescharacteristic, complemented
182C61×#380C2211yescharacteristic
183C61×#380C2211yescharacteristic, complemented
184C61×#380C2211yescharacteristic, complemented
185C61×#379C2211yescharacteristic
186C61×#379C2211yescharacteristic
187C24×D61C2311yescharacteristic
188C22×D244C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×C22⋊D61—24no—
194C22×C22⋊D61—42no—
195C22×C22⋊D61—42no—
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211#14519772—42no—
212#14519766—42no—
213#14519762—42no—
214#14519761—42no—
215#14519761—42no—
216#14519752—42no—
217#14519751—42no—
218#14519751—42no—
219#14519751—42no—
220#14519747—42no—
221#14519747—42no—
222#14519746—24no—
223#14519746—24no—
224#14519737—42no—
225#14519737—42no—
226C2×C4⋊Dic61C2311yescharacteristic
227C2×C4⋊Dic61C2311yescharacteristic
228C2×C4⋊Dic61C2311yescharacteristic
229C2×C4⋊Dic61C2311yescharacteristic
230C2×C4⋊Dic61C2311yescharacteristic
231C2×C4⋊Dic61C2311yescharacteristic
232C2×C4⋊Dic61C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×C22⋊Dic61—42no—
240C2×C22⋊Dic61C2311yescharacteristic
241C2×C22⋊Dic61C2311yescharacteristic
242C2×C22⋊Dic61C2311yescharacteristic
243C2×C22⋊Dic61C2311yescharacteristic
244C2×C22⋊Dic61C2311yescharacteristic
245C2×C22⋊Dic61C2311yescharacteristic
246C2×C22⋊Dic61C2311yescharacteristic
247C2×C22⋊Dic61C2311yescharacteristic
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2311yescharacteristic
250C2×#11758198—42no—
251C2×#11758198—42no—
252C2×#11758198C2311yescharacteristic
253C2×#11758198C2311yescharacteristic
254C2×#11758198C2311yescharacteristic
255C2×#11758198C2311yescharacteristic
256C2×#11758198C2311yescharacteristic
257C2×#11758198C2311yescharacteristic
258C2×#11758198C2311yescharacteristic
259C2×#11758198C2311yescharacteristic
260C2×#11758198C2311yescharacteristic
261C2×#11758198C2311yescharacteristic
262C2×#11758198C2311yescharacteristic
263C2×#11758198C2311yescharacteristic
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
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×C4×Dic61C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
291C2×C4×Dic61C2311yescharacteristic
292C2×C4×Dic61C2311yescharacteristic
293C2×C4×Dic61C2311yescharacteristic
294#14519684C2311yescharacteristic
295#14519684C2311yescharacteristic
296#14519684C2311yescharacteristic
297#14519684C2311yescharacteristic
298#14519684C2311yescharacteristic
299#14519684C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
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
328C25×C61C2311yescharacteristic
329C22×Q8×C61C2311yescharacteristic
330C23×C4×C61—42no—
331C23×C4×C61—42no—
332C23×C4×C61—42no—
333C23×C4×C61C2311yescharacteristic
334C23×C4×C61C2311yescharacteristic
335C23×C4×C61C2311yescharacteristic
336C23×C4×C61C2311yescharacteristic
337C23×C4×C61C2311yescharacteristic
338C23×C4×C61C2311yescharacteristic
339C22⋊Q8×C61—42no—
340C22⋊Q8×C61—42no—
341C22⋊Q8×C61—42no—
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×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊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×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369C24×C61—22no—
370C24×C61—22no—
371C24×C61—41no—
372C24×C61—41no—
373C24×C61—41no—
374C24×C61—41no—
375C24×C61#4114yes—
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C24×C61C2411yescharacteristic
379C23×D61—22no—
380C23×D61—22no—
381C23×D61—22no—
382C23×D61—41no—
383C23×D61—41no—
384C23×D61—41no—
385C23×D61—41no—
386C23×D61C2411yescharacteristic
387C23×D61C2411yescharacteristic
388C23×D61C2411yescharacteristic
389C23×D61C2411yescharacteristic
390C2×Q8×C61—22no—
391C2×Q8×C61—41no—
392C2×Q8×C61—41no—
393C22×C4×C61—22no—
394C22×C4×C61—22no—
395C22×C4×C61—22no—
396C22×C4×C61—22no—
397C22×C4×C61—22no—
398C22×C4×C61—22no—
399C22×C4×C61—22no—
400C22×C4×C61—22no—
401C22×C4×C61—41no—
402C22×C4×C61—41no—
403C22×C4×C61—41no—
404C22×C4×C61—41no—
405C22×C4×C61—41no—
406C22×C4×C61—41no—
407C22×C4×C61—41no—
408C22×C4×C61—41no—
409C22×C4×C61—41no—
410C22×C4×C61—41no—
411C22×C4×C61—416no—
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C2×C22⋊D61—22no—
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C2×C22⋊D61—22no—
430C2×C22⋊D61—22no—
431C2×C22⋊D61—22no—
432C2×C22⋊D61—22no—
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—41no—
439C2×C22⋊D61—41no—
440C2×C22⋊D61—41no—
441C2×C22⋊D61—41no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61—41no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61—41no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—416no—
455C22×Dic61—22no—
456C22×Dic61—22no—
457C22×Dic61—22no—
458C22×Dic61—22no—
459C22×Dic61—22no—
460C22×Dic61—41no—
461C22×Dic61—41no—
462C22×Dic61—41no—
463C22×Dic61—41no—
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C2×D244—22no—
477C2×D244—41no—
478C2×D244—41no—
479C2×D244—41no—
480C2×D244—41no—
481C2×D244—41no—
482C2×D244—41no—
483C2×D244—41no—
484C2×D244—41no—
485C2×D244—41no—
486C2×D244—41no—
487C2×D244—41no—
488C2×D244—41no—
489C2×D244—41no—
490C2×D244—41no—
491C2×C4×D61—41no—
492C2×C4×D61—41no—
493C2×C4×D61—41no—
494C2×C4×D61—41no—
495C2×C4×D61—41no—
496C2×C4×D61—41no—
497C4⋊C4×C61—22no—
498C4⋊C4×C61—22no—
499C4⋊C4×C61—22no—
500C4⋊C4×C61—41no—
501C4⋊C4×C61—41no—
502C4⋊C4×C61—41no—
503C4⋊C4×C61—41no—
504C4⋊C4×C61—41no—
505C4⋊C4×C61—41no—
506C22⋊C4×C61—22no—
507C22⋊C4×C61—22no—
508C22⋊C4×C61—22no—
509C22⋊C4×C61—22no—
510C22⋊C4×C61—41no—
511C22⋊C4×C61—41no—
512C22⋊C4×C61—41no—
513C22⋊C4×C61—41no—
514C22⋊C4×C61—41no—
515C22⋊C4×C61—41no—
516C22⋊C4×C61—41no—
517C22⋊C4×C61—41no—
518C22⋊Dic61—22no—
519C22⋊Dic61—22no—
520C22⋊Dic61—22no—
521C22⋊Dic61—22no—
522C22⋊Dic61—22no—
523C22⋊Dic61—22no—
524C22⋊Dic61—41no—
525C22⋊Dic61—41no—
526C22⋊Dic61—41no—
527C22⋊Dic61—41no—
528#11758198—22no—
529#11758198—22no—
530#11758198—22no—
531#11758198—22no—
532#11758198—22no—
533#11758198—22no—
534#11758198—41no—
535#11758198—41no—
536#11758198—41no—
537#11758198—41no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198—41no—
543#11758198—41no—
544#11758198—41no—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548#11758198—41no—
549#11758198—41no—
550#11758198—41no—
551#11758198—41no—
552#11758198—41no—
553#11758198—41no—
554#11758198—41no—
555#11758198—41no—
556#11758198—41no—
557#11758198—41no—
558#11758198—41no—
559#11758198—41no—
560#11758198—41no—
561#11758198—41no—
562#11758198—41no—
563#11758198—41no—
564C4⋊Dic61—22no—
565C4⋊Dic61—41no—
566C4⋊Dic61—41no—
567C4⋊Dic61—41no—
568C4⋊Dic61—41no—
569C4⋊Dic61—41no—
570C4⋊Dic61—41no—
571#11758196—41no—
572#11758196—41no—
573#11758196—41no—
574#11758196—41no—
575#11758196—41no—
576#11758196—41no—
577C4×Dic61—41no—
578C4×Dic61—41no—
579C4×Dic61—41no—
580C4×Dic61—41no—
581C4×Dic61—41no—
582C4×Dic61—41no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—28no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—44no—
601C23×C61—44no—
602C23×C61—44no—
603C23×C61—44no—
604C23×C61—44no—
605C23×C61—44no—
606C23×C61C2×#4112yes—
607C23×C61C2×#4112yes—
608C23×C61C2×#4112yes—
609C23×C61H(5,𝔽2)12yes—
610C23×C61H(5,𝔽2)12yes—
611C23×C61C2511yescharacteristic
612C22×D61—21no—
613C22×D61—21no—
614C22×D61—21no—
615C22×D61—21no—
616C22×D61—21no—
617C22×D61—21no—
618C22×D61—21no—
619C22×D61—21no—
620C22×D61—21no—
621C22×D61—21no—
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—21no—
627C22×D61—21no—
628C22×D61—21no—
629C22×D61—21no—
630C22×D61—21no—
631C22×D61—21no—
632C22×D61—21no—
633C22×D61—21no—
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—44no—
641C22×D61—44no—
642C22×D61—44no—
643C22×D61—82no—
644C22×D61—82no—
645C22×D61—82no—
646C22×D61—82no—
647Q8×C61—82no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—44no—
683C2×C4×C61—44no—
684C2×C4×C61—44no—
685C2×C4×C61—44no—
686C2×C4×C61—44no—
687C2×C4×C61—44no—
688C2×C4×C61H(5,𝔽2)12yes—
689C2×C4×C61H(5,𝔽2)12yes—
690C22⋊D61—44no—
691C22⋊D61—44no—
692C22⋊D61—44no—
693C22⋊D61—44no—
694C22⋊D61—44no—
695C22⋊D61—44no—
696C22⋊D61—82no—
697C22⋊D61—82no—
698C22⋊D61—82no—
699C22⋊D61—82no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—44no—
737C2×Dic61—82no—
738C2×Dic61—82no—
739D244—82no—
740D244—82no—
741D244—82no—
742D244—82no—
743D244—82no—
744C4×D61—82no—
745C4×D61—82no—
746#36758—611nomaximal, Sylow
747C22×C61—22no—
748C22×C61—22no—
749C22×C61—22no—
750C22×C61—22no—
751C22×C61—22no—
752C22×C61—22no—
753C22×C61—22no—
754C22×C61—22no—
755C22×C61—22no—
756C22×C61—22no—
757C22×C61—22no—
758C22×C61—22no—
759C22×C61—416no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61#53814yes—
769C22×C61C22×#4111yescharacteristic
770C22×C61C2×H(5,𝔽2)11yescharacteristic
771C22×C61C2×H(5,𝔽2)11yescharacteristic
772C22×C61C2×H(5,𝔽2)11yescharacteristic
773C22×C61C2×H(5,𝔽2)11yescharacteristic
774C22×C61#58511yescharacteristic
775C22×C61#58511yescharacteristic
776C2×D61—41no—
777C2×D61—41no—
778C2×D61—41no—
779C2×D61—41no—
780C2×D61—41no—
781C2×D61—41no—
782C2×D61—41no—
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—88no—
805C4×C61—22no—
806C4×C61—22no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829#2848D6111yescharacteristic, complemented
830#2847—611no—
831#2797—611no—
832#2781—611no—
833#2779—611no—
834#2778—611no—
835#2778—611no—
836#2756—611no—
837#2753—611no—
838#2749—611no—
839#2741—611no—
840#2730—611no—
841#2714—611no—
842#2703—611no—
843#2702—611no—
844#2696—611no—
845#2688—611no—
846#2676—611no—
847#2613—611no—
848#2613—611no—
849#2493—611no—
850#2488—611no—
851#2480—611no—
852#2472—611no—
853#2425—611no—
854#2424—611no—
855#2419—611no—
856#2418—611no—
857#2321—611no—
858#2321—611no—
859C2×#386—611no—
860C2×C61—24no—
861C2×C61—42no—
862C2×C61—42no—
863C2×C61C2×#53811yescharacteristic
864C2×C61#350511yescharacteristic
865C2×C61#350511yescharacteristic
866C2×C61#353211yescharacteristic
867C2×C61#353311yescharacteristic
868C2×C61#354211yescharacteristic
869C2×C61#354211yescharacteristic
870D61—81no—
871D61—81no—
872D61—81no—
873D61—81no—
874C23×D4—611no—
875C24×C4C2×D6111yescharacteristic
876C2×#126—611no—
877C2×#124—611no—
878C2×#123—611no—
879C2×#123—611no—
880C2×#123—611no—
881C2×C22⋊Q8C2×D6111yescharacteristic
882C2×C22⋊Q8C2×D6111yescharacteristic, complemented
883C2×C22⋊Q8C2×D6111yescharacteristic, complemented
884C2×#121—611no—
885C2×#121—611no—
886C2×#121—611no—
887C2×#121—611no—
888C2×#120—611no—
889C2×#120—611no—
890C2×#120—611no—
891C2×#120—611no—
892C2×C4×D4—611no—
893C2×C4×D4—611no—
894C22×C22⋊C4—611no—
895C22×C22⋊C4—611no—
896C22×C22⋊C4—611no—
897#401—611no—
898#400—611no—
899#400—611no—
900#400—611no—
901#400—611no—
902#400—611no—
903#400—611no—
904#399—611no—
905#398—611no—
906#398—611no—
907#397—611no—
908#397—611no—
909#397—611no—
910#397—611no—
911#397—611no—
912#397—611no—
913#397—611no—
914#397—611no—
915#397—611no—
916#396—611no—
917#396—611no—
918#396—611no—
919#394—611no—
920#394—611no—
921#394—611no—
922#394—611no—
923#394—611no—
924#394—611no—
925#394—611no—
926#394—611no—
927#394—611no—
928#394—611no—
929#394—611no—
930#394—611no—
931#394—611no—
932#394—611no—
933#394—611no—
934#393—611no—
935#393—611no—
936#392—611no—
937#392—611no—
938#392—611no—
939#392—611no—
940#392—611no—
941#392—611no—
942#392—611no—
943#392—611no—
944#392—611no—
945#391—611no—
946#390—611no—
947#390—611no—
948#390—611no—
949#390—611no—
950#390—611no—
951#390—611no—
952#389—611no—
953#388—611no—
954#388—611no—
955#388—611no—
956#388—611no—
957#388—611no—
958#388—611no—
959#388—611no—
960#388—611no—
961#388—611no—
962#388—611no—
963#388—611no—
964#388—611no—
965#388—611no—
966#388—611no—
967#388—611no—
968#388—611no—
969#388—611no—
970#388—611no—
971#388—611no—
972#387—611no—
973#387—611no—
974#387—611no—
975#387—611no—
976#387—611no—
977#386—611no—
978#386—611no—
979#386—611no—
980#386—611no—
981#386—611no—
982#386—611no—
983#386—611no—
984#386—611no—
985#386—611no—
986#386—611no—
987#386—611no—
988#386—611no—
989#386—611no—
990#386—611no—
991#386—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#386—611no—
997#386—611no—
998#386—611no—
999#386—611no—
1000#385—611no—
1001#385—611no—
1002#385—611no—
1003#385C2×D6111yescharacteristic
1004#385C2×D6111yescharacteristic
1005#385C2×D6111yescharacteristic, complemented
1006#385C2×D6111yescharacteristic, complemented
1007#385C2×D6111yescharacteristic, complemented
1008#385C2×D6111yescharacteristic, complemented
1009#383—611no—
1010#382—611no—
1011#381—611no—
1012#381—611no—
1013#381—611no—
1014#380—611no—
1015#380—611no—
1016#380—611no—
1017#380—611no—
1018#380C2×D6111yescharacteristic
1019#380C2×D6111yescharacteristic, complemented
1020#380C2×D6111yescharacteristic, complemented
1021#379—611no—
1022#379—611no—
1023#379C2×D6111yescharacteristic
1024#379C2×D6111yescharacteristic
1025C4×C22⋊C4—611no—
1026C4×C22⋊C4—611no—
1027C2×#95—611no—
1028C2×#95—611no—
1029C61#3675811yescharacteristic, complemented, Sylow
1030C25—611no—
1031C25C22×D6111yescharacteristic
1032C22×Q8C22×D6111yescharacteristic
1033C22×D4—611no—
1034C22×D4—611no—
1035C22×D4—611no—
1036C22×D4—611no—
1037C22×D4—611no—
1038C22×D4—611no—
1039C22×D4—611no—
1040C22×D4—611no—
1041C22×D4—611no—
1042C22×D4—611no—
1043C22×D4—611no—
1044C22×D4—611no—
1045C22×D4—611no—
1046C22×D4—611no—
1047C22×D4—611no—
1048C22×D4—1224no—
1049C22×D4—2442no—
1050C22×D4—2442no—
1051C23×C4—42no—
1052C23×C4—42no—
1053C23×C4—42no—
1054C23×C4—611no—
1055C23×C4—611no—
1056C23×C4—611no—
1057C23×C4—611no—
1058C23×C4—611no—
1059C23×C4C22×D6111yescharacteristic
1060C23×C4C22×D6111yescharacteristic
1061C23×C4C22×D6111yescharacteristic
1062C23×C4C22×D6111yescharacteristic
1063C23×C4C22×D6111yescharacteristic
1064C23×C4C22×D6111yescharacteristic
1065#126—2442no—
1066#124—2442no—
1067#123—2442no—
1068#123—2442no—
1069#123—2442no—
1070C22⋊Q8—42no—
1071C22⋊Q8—42no—
1072C22⋊Q8—42no—
1073#121—2442no—
1074#121—2442no—
1075#121—2442no—
1076#121—2442no—
1077#120—1224no—
1078#120—1224no—
1079#120—2442no—
1080#120—2442no—
1081C4×D4—2442no—
1082C4×D4—2442no—
1083C2×C4⋊C4—611no—
1084C2×C4⋊C4—611no—
1085C2×C4⋊C4—611no—
1086C2×C4⋊C4—611no—
1087C2×C4⋊C4—611no—
1088C2×C4⋊C4—611no—
1089C2×C4⋊C4—611no—
1090C2×C4⋊C4—611no—
1091C2×C4⋊C4—611no—
1092C2×C4⋊C4—611no—
1093C2×C4⋊C4—611no—
1094C2×C4⋊C4—611no—
1095C2×C4⋊C4—611no—
1096C2×C4⋊C4C22×D6111yescharacteristic
1097C2×C4⋊C4C22×D6111yescharacteristic
1098C2×C4⋊C4C22×D6111yescharacteristic
1099C2×C4⋊C4C22×D6111yescharacteristic
1100C2×C4⋊C4C22×D6111yescharacteristic
1101C2×C4⋊C4C22×D6111yescharacteristic
1102C2×C4⋊C4C22×D6111yescharacteristic
1103C2×C4⋊C4C22×D6111yescharacteristic
1104C2×C4⋊C4C22×D6111yescharacteristic
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—611no—
1121C2×C22⋊C4—611no—
1122C2×C22⋊C4—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—611no—
1125C2×C22⋊C4—611no—
1126C2×C22⋊C4—611no—
1127C2×C22⋊C4—611no—
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—611no—
1138C2×C22⋊C4—611no—
1139C2×C22⋊C4—611no—
1140C2×C22⋊C4—611no—
1141C2×C22⋊C4—611no—
1142C2×C22⋊C4—611no—
1143C2×C22⋊C4—611no—
1144C2×C22⋊C4—611no—
1145C2×C22⋊C4—611no—
1146C2×C22⋊C4—611no—
1147C2×C22⋊C4—611no—
1148C2×C22⋊C4—611no—
1149C2×C22⋊C4—611no—
1150C2×C22⋊C4—611no—
1151C2×C22⋊C4—2442no—
1152C2×C22⋊C4—2442no—
1153C2×C22⋊C4—2442no—
1154C2×C22⋊C4C22×D6111yescharacteristic
1155C2×C22⋊C4C22×D6111yescharacteristic
1156C2×C22⋊C4C22×D6111yescharacteristic
1157C2×C22⋊C4C22×D6111yescharacteristic
1158C2×C22⋊C4C22×D6111yescharacteristic
1159C2×C22⋊C4C22×D6111yescharacteristic
1160C2×C22⋊C4C22×D6111yescharacteristic
1161C2×C22⋊C4C22×D6111yescharacteristic
1162C2×C22⋊C4C22×D6111yescharacteristic
1163C2×C22⋊C4C22×D6111yescharacteristic
1164C2×C22⋊C4C22×D6111yescharacteristic
1165C2×C22⋊C4C22×D6111yescharacteristic
1166C2×C42—611no—
1167C2×C42—611no—
1168C2×C42—611no—
1169C2×C42—611no—
1170C2×C42—611no—
1171C2×C42—611no—
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95—611no—
1180#95—611no—
1181#95—611no—
1182#95—611no—
1183#95—611no—
1184#95—611no—
1185#95—611no—
1186#95—611no—
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95—611no—
1191#95—611no—
1192#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196#95—611no—
1197#95—611no—
1198#95—611no—
1199#95—611no—
1200#95—611no—
1201#95—611no—
1202#95—611no—
1203#95—611no—
1204#95—611no—
1205#95—611no—
1206#95C22×D6111yescharacteristic
1207#95C22×D6111yescharacteristic
1208#95C22×D6111yescharacteristic
1209#95C22×D6111yescharacteristic
1210#95C22×D6111yescharacteristic
1211#95C22×D6111yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—611no—
1219C24—611no—
1220C24—611no—
1221C24—611no—
1222C24—1222no—
1223C24—1222no—
1224C24—1222no—
1225C24—2441no—
1226C24—2441no—
1227C24—2441no—
1228C24—2441no—
1229C24#1175822614yes—
1230C24C23×D6111yescharacteristic
1231C24C23×D6111yescharacteristic
1232C24C23×D6111yescharacteristic
1233C2×Q8—22no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×D4—1222no—
1237C2×D4—1222no—
1238C2×D4—1222no—
1239C2×D4—1222no—
1240C2×D4—1222no—
1241C2×D4—1222no—
1242C2×D4—1222no—
1243C2×D4—1222no—
1244C2×D4—1222no—
1245C2×D4—1222no—
1246C2×D4—1222no—
1247C2×D4—1222no—
1248C2×D4—1222no—
1249C2×D4—1222no—
1250C2×D4—1222no—
1251C2×D4—2441no—
1252C2×D4—2441no—
1253C2×D4—2441no—
1254C2×D4—2441no—
1255C2×D4—2441no—
1256C2×D4—2441no—
1257C2×D4—2441no—
1258C2×D4—2441no—
1259C2×D4—2441no—
1260C2×D4—2441no—
1261C2×D4—2441no—
1262C2×D4—2441no—
1263C2×D4—2441no—
1264C2×D4—2441no—
1265C2×D4—2441no—
1266C2×D4—2441no—
1267C2×D4—2441no—
1268C2×D4—2441no—
1269C2×D4—2441no—
1270C2×D4—2441no—
1271C2×D4—2441no—
1272C2×D4—2441no—
1273C2×D4—2441no—
1274C2×D4—2441no—
1275C2×D4—2441no—
1276C2×D4—2441no—
1277C2×D4—2441no—
1278C2×D4—2441no—
1279C2×D4—2441no—
1280C2×D4—2441no—
1281C2×D4—24416no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—416no—
1301C22×C4—611no—
1302C22×C4—611no—
1303C22×C4—611no—
1304C22×C4—611no—
1305C22×C4—611no—
1306C22×C4—611no—
1307C22×C4—611no—
1308C22×C4—611no—
1309C22×C4—611no—
1310C22×C4—611no—
1311C22×C4—611no—
1312C22×C4—611no—
1313C22×C4—1222no—
1314C22×C4—1222no—
1315C22×C4—1222no—
1316C22×C4—1222no—
1317C22×C4—1222no—
1318C22×C4—2441no—
1319C22×C4—2441no—
1320C22×C4—2441no—
1321C22×C4—2441no—
1322C22×C4—2441no—
1323C22×C4—2441no—
1324C22×C4—2441no—
1325C22×C4—2441no—
1326C22×C4—2441no—
1327C22×C4—2441no—
1328C22×C4C23×D6111yescharacteristic
1329C22×C4C23×D6111yescharacteristic
1330C22×C4C23×D6111yescharacteristic
1331C22×C4C23×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333C22×C4C23×D6111yescharacteristic
1334C22×C4C23×D6111yescharacteristic
1335C22×C4C23×D6111yescharacteristic
1336C22×C4C23×D6111yescharacteristic
1337C22×C4C23×D6111yescharacteristic
1338C22×C4C23×D6111yescharacteristic
1339C22×C4C23×D6111yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—1222no—
1350C4⋊C4—2441no—
1351C4⋊C4—2441no—
1352C4⋊C4—2441no—
1353C4⋊C4—2441no—
1354C4⋊C4—2441no—
1355C4⋊C4—2441no—
1356C4⋊C4—2441no—
1357C4⋊C4—2441no—
1358C4⋊C4—2441no—
1359C4⋊C4—2441no—
1360C4⋊C4—2441no—
1361C4⋊C4—2441no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—1222no—
1375C22⋊C4—1222no—
1376C22⋊C4—1222no—
1377C22⋊C4—1222no—
1378C22⋊C4—1222no—
1379C22⋊C4—1222no—
1380C22⋊C4—1222no—
1381C22⋊C4—1222no—
1382C22⋊C4—1222no—
1383C22⋊C4—1222no—
1384C22⋊C4—1222no—
1385C22⋊C4—1222no—
1386C22⋊C4—2441no—
1387C22⋊C4—2441no—
1388C22⋊C4—2441no—
1389C22⋊C4—2441no—
1390C22⋊C4—2441no—
1391C22⋊C4—2441no—
1392C22⋊C4—2441no—
1393C22⋊C4—2441no—
1394C22⋊C4—2441no—
1395C22⋊C4—2441no—
1396C22⋊C4—2441no—
1397C22⋊C4—2441no—
1398C22⋊C4—2441no—
1399C22⋊C4—2441no—
1400C22⋊C4—2441no—
1401C22⋊C4—2441no—
1402C22⋊C4—2441no—
1403C22⋊C4—2441no—
1404C22⋊C4—2441no—
1405C22⋊C4—2441no—
1406C22⋊C4—2441no—
1407C22⋊C4—2441no—
1408C22⋊C4—2441no—
1409C22⋊C4—2441no—
1410C22⋊C4—2441no—
1411C22⋊C4—2441no—
1412C22⋊C4—2441no—
1413C22⋊C4—2441no—
1414C22⋊C4—2441no—
1415C22⋊C4—2441no—
1416C22⋊C4—2441no—
1417C22⋊C4—2441no—
1418C22⋊C4—2441no—
1419C22⋊C4—2441no—
1420C42—2441no—
1421C42—2441no—
1422C42—2441no—
1423C42—2441no—
1424C42—2441no—
1425C42—2441no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—28no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—1221no—
1450C23—1221no—
1451C23—1221no—
1452C23—1221no—
1453C23—1221no—
1454C23—1221no—
1455C23—1221no—
1456C23—1221no—
1457C23—1221no—
1458C23—1221no—
1459C23—1221no—
1460C23—1221no—
1461C23—1221no—
1462C23—1221no—
1463C23—1221no—
1464C23—1221no—
1465C23—1221no—
1466C23—1221no—
1467C23—1221no—
1468C23—1221no—
1469C23—1221no—
1470C23—1221no—
1471C23—1221no—
1472C23—1221no—
1473C23—1221no—
1474C23—1221no—
1475C23—1221no—
1476C23—1221no—
1477C23—4882no—
1478C23—4882no—
1479C23—4882no—
1480C23—4882no—
1481C23—2444no—
1482C23—2444no—
1483C23—2444no—
1484C23C2×#1175822612yes—
1485C23C2×#1175822612yes—
1486C23C2×#1175822612yes—
1487C23#1451982212yes—
1488C23#1451982312yes—
1489C23C24×D6111yescharacteristic
1490Q8—82no—
1491D4—4882no—
1492D4—4882no—
1493D4—4882no—
1494D4—4882no—
1495D4—4882no—
1496D4—4882no—
1497D4—4882no—
1498D4—4882no—
1499D4—4882no—
1500D4—2444no—
1501D4—2444no—
1502D4—2444no—
1503D4—2444no—
1504D4—2444no—
1505D4—2444no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—1221no—
1564C2×C4—1221no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—4882no—
1583C2×C4—4882no—
1584C2×C4—4882no—
1585C2×C4—4882no—
1586C2×C4—2444no—
1587C2×C4#1451982212yes—
1588C2×C4#1451982212yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—4888no—
1611C22—2441no—
1612C22—2441no—
1613C22—2441no—
1614C22—2441no—
1615C22—2441no—
1616C22—2441no—
1617C22—2441no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22—2441no—
1630C22—2441no—
1631C22—2441no—
1632C22—2441no—
1633C22—2441no—
1634C22—2441no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22#1684035214yes—
1640C22C22×#1175822611yescharacteristic
1641C22C2×#1451982211yescharacteristic
1642C22C2×#1451982211yescharacteristic
1643C22C2×#1451982211yescharacteristic
1644C22C2×#1451982311yescharacteristic
1645C22#1684059811yescharacteristic
1646C22#1684059811yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—2441no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4—2441no—
1670C4—2441no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—4881no—
1675C2—4881no—
1676C2—4881no—
1677C2—4881no—
1678C2C2×#1684035211yescharacteristic
1679C2#2145966011yescharacteristic
1680C2#2145966011yescharacteristic
1681C2#2145997411yescharacteristic
1682C2#2145998311yescharacteristic
1683C2#2146012711yescharacteristic
1684C2#2146013511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2848C2
hypercenter#2848D61
hypocenterC61#36758
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. #21454101C2semidirect
2. #21453680C2semidirect
3. #21453476C2semidirect
4. #21453452C2semidirect
5. #21453433C2semidirect
6. #21453431C2semidirect
7. #21453142C2semidirect
8. #21453097C2semidirect
9. #21453043C2semidirect
10. #21452930C2semidirect
11. #21452810C2semidirect
12. #21452616C2semidirect
13. #21452462C2semidirect
14. #21452443C2semidirect
15. #21452363C2semidirect
16. #21452258C2semidirect
17. #21452116C2semidirect
18. #21451534C2semidirect
19. #21451534C2semidirect
20. #21450202C2semidirect
21. #21450151C2semidirect
22. #21450072C2semidirect
23. #21449952C2semidirect
24. #21449368C2semidirect
25. #21449353C2semidirect
26. #21449302C2semidirect
27. #21449287C2semidirect
28. #21448474C2semidirect
29. #21448474C2semidirect
30. C2×#16839641C2semidirect
31. C61×#2848C2semidirect
33. C2×#14519772C22semidirect
34. C2×#14519766C22semidirect
35. C2×#14519762C22semidirect
38. C2×#14519752C22semidirect
40. C2×#14519751C22semidirect
41. C2×#14519751C22semidirect
51. C61⋊#401C22semidirect
52. #16839704C22semidirect
53. #16839704C22semidirect
54. #16839701C22semidirect
55. #16839701C22semidirect
56. #16839701C22semidirect
57. #16839700C22semidirect
58. #16839697C22semidirect
59. #16839695C22semidirect
60. #16839694C22semidirect
61. #16839691C22semidirect
62. #16839691C22semidirect
63. #16839691C22semidirect
64. #16839689C22semidirect
65. #16839689C22semidirect
66. #16839688C22semidirect
67. #16839688C22semidirect
68. #16839688C22semidirect
69. #16839688C22semidirect
70. #16839684C22semidirect
71. #16839684C22semidirect
72. #16839684C22semidirect
73. #16839680C22semidirect
74. #16839680C22semidirect
75. #16839679C22semidirect
76. #16839679C22semidirect
77. #16839679C22semidirect
78. #16839679C22semidirect
79. #16839679C22semidirect
88. #16839673C22semidirect
89. #16839673C22semidirect
90. #16839672C22semidirect
99. #16839669C22semidirect
100. #16839663C22semidirect
101. #16839663C22semidirect
102. #16839662C22semidirect
103. #16839662C22semidirect
104. #16839662C22semidirect
105. #16839662C22semidirect
106. #16839661C22semidirect
107. #16839656C22semidirect
108. #16839656C22semidirect
109. #16839656C22semidirect
110. #16839656C22semidirect
111. #16839654C22semidirect
112. #16839654C22semidirect
113. #16839654C22semidirect
114. #16839652C22semidirect
115. #16839652C22semidirect
116. #16839652C22semidirect
117. #16839652C22semidirect
118. #16839652C22semidirect
119. #16839652C22semidirect
120. #16839651C22semidirect
121. #16839651C22semidirect
122. #16839650C22semidirect
123. #16839650C22semidirect
124. #16839650C22semidirect
125. #16839650C22semidirect
126. #16839649C22semidirect
127. #16839648C22semidirect
128. #16839648C22semidirect
129. #16839645C22semidirect
130. #16839643C22semidirect
141. #16839641C22semidirect
142. #16839641C22semidirect
143. #16839641C22semidirect
144. #16839641C22semidirect
145. #16839640C22semidirect
146. #16839640C22semidirect
147. #16839640C22semidirect
150. #16839638C22semidirect
151. #16839638C22semidirect
152. #16839638C22semidirect
153. #16839638C22semidirect
156. #16839633C22semidirect
157. #16839629C22semidirect
158. #16839627C22semidirect
159. #16839624C22semidirect
163. #16839622C22semidirect
164. #16839622C22semidirect
165. #16839619C22semidirect
174. C2×C22⋊Q8×C61C22semidirect
175. C2×C22⋊Q8×C61C22semidirect
178. C61×#385C22semidirect
179. C61×#385C22semidirect
180. C61×#385C22semidirect
181. C61×#385C22semidirect
183. C61×#380C22semidirect
184. C61×#380C22semidirect
829. #2848D61semidirect
882. C2×C22⋊Q8C2×D61semidirect
883. C2×C22⋊Q8C2×D61semidirect
1005. #385C2×D61semidirect
1006. #385C2×D61semidirect
1007. #385C2×D61semidirect
1008. #385C2×D61semidirect
1019. #380C2×D61semidirect
1020. #380C2×D61semidirect
1029. C61#36758semidirect

Maximal subgroups

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

subgroupindex
#214541012
#214536802
#214534762
#214534522
#214534332
#214534312
#214531422
#214530972
#214530432
#214529302
#214528102
#214526162
#214524622
#214524432
#214523632
#214522582
#214521162
#214515342
#214502022
#214501512
#214500722
#214499522
#214493682
#214493532
#214493022
#214492872
#214484742
C2×#168396412
C61×#28482
#3675861