Finite Group Databasebeta

← #29888323

Subgroups — #29888323

Order 15616.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454114C211yesmaximal, characteristic, complemented
2#21454103C211yesmaximal, characteristic, complemented
3#21453491C211yesmaximal, characteristic, complemented
4#21453058C211yesmaximal, characteristic, complemented
5#21453009C211yesmaximal, characteristic, complemented
6#21452998C211yesmaximal, characteristic, complemented
7#21452964C211yesmaximal, characteristic, complemented
8#21452786C211yesmaximal, characteristic, complemented
9#21452538C211yesmaximal, characteristic, complemented
10#21452538C211yesmaximal, characteristic, complemented
11#21452506C211yesmaximal, characteristic, complemented
12#21452376C211yesmaximal, characteristic, complemented
13#21452361C211yesmaximal, characteristic, complemented
14#21452331C211yesmaximal, characteristic, complemented
15#21452331C211yesmaximal, characteristic, complemented
16#21452300C211yesmaximal, characteristic, complemented
17#21452239C211yesmaximal, characteristic, complemented
18#21452174C211yesmaximal, characteristic, complemented
19#21451792C211yesmaximal, characteristic, complemented
20#21451775C211yesmaximal, characteristic, complemented
21#21450324C211yesmaximal, characteristic, complemented
22#21450072C211yesmaximal, characteristic, complemented
23#21449639C211yesmaximal, characteristic, complemented
24#21449287C211yesmaximal, characteristic, complemented
25#21449209C211yesmaximal, characteristic, complemented
26#21449187C211yesmaximal, characteristic
27#21449147C211yesmaximal, characteristic, complemented
28#21448474C211yesmaximal, characteristic, complemented
29#21448431C211yesmaximal, characteristic, complemented
30C2×#16839638C211yesmaximal, characteristic, complemented
31C61×#2437C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C2×#14519772C2211yescharacteristic, complemented
35C2×#14519762C2211yescharacteristic, complemented
36C2×#14519762C2211yescharacteristic, complemented
37C2×#14519762C2211yescharacteristic, complemented
38C2×#14519761C2211yescharacteristic
39C2×#14519761C2211yescharacteristic
40C2×#14519761C2211yescharacteristic, complemented
41C2×#14519753C2211yescharacteristic, complemented
42C2×#14519753C2211yescharacteristic, complemented
43C2×#14519751C2211yescharacteristic
44C2×#14519751C2211yescharacteristic
45C2×#14519747C2211yescharacteristic
46C2×#14519746C2211yescharacteristic
47C2×#14519737C2211yescharacteristic
48C22×C22⋊Dic61C2211yescharacteristic
49C22×C22⋊Dic61C2211yescharacteristic
50C22×#11758198C2211yescharacteristic
51C61⋊#401C2211yescharacteristic, complemented
52#16839704C2211yescharacteristic, complemented
53#16839704C2211yescharacteristic, complemented
54#16839704C2211yescharacteristic, complemented
55#16839704C2211yescharacteristic, complemented
56#16839701C2211yescharacteristic, complemented
57#16839701C2211yescharacteristic, complemented
58#16839701C2211yescharacteristic, complemented
59#16839701C2211yescharacteristic, complemented
60#16839701C2211yescharacteristic, complemented
61#16839700C2211yescharacteristic, complemented
62#16839700C2211yescharacteristic, complemented
63#16839697C2211yescharacteristic, complemented
64#16839695C2211yescharacteristic, complemented
65#16839695C2211yescharacteristic, complemented
66#16839695C2211yescharacteristic, complemented
67#16839694C2211yescharacteristic, complemented
68#16839694C2211yescharacteristic, complemented
69#16839694C2211yescharacteristic, complemented
70#16839691C2211yescharacteristic, complemented
71#16839691C2211yescharacteristic, complemented
72#16839691C2211yescharacteristic, complemented
73#16839689C2211yescharacteristic, complemented
74#16839689C2211yescharacteristic, complemented
75#16839688C2211yescharacteristic, complemented
76#16839688C2211yescharacteristic, complemented
77#16839687C2211yescharacteristic, complemented
78#16839687C2211yescharacteristic, complemented
79#16839684C2211yescharacteristic, complemented
80#16839684C2211yescharacteristic, complemented
81#16839684C2211yescharacteristic, complemented
82#16839680C2211yescharacteristic, complemented
83#16839679C2211yescharacteristic, complemented
84#16839678C2211yescharacteristic
85#16839678C2211yescharacteristic
86#16839678C2211yescharacteristic
87#16839678C2211yescharacteristic
88#16839678C2211yescharacteristic
89#16839678C2211yescharacteristic
90#16839678C2211yescharacteristic, complemented
91#16839678C2211yescharacteristic, complemented
92#16839673C2211yescharacteristic, complemented
93#16839671C2211yescharacteristic
94#16839671C2211yescharacteristic
95#16839669C2211yescharacteristic, complemented
96#16839662C2211yescharacteristic, complemented
97#16839662C2211yescharacteristic, complemented
98#16839661C2211yescharacteristic, complemented
99#16839656C2211yescharacteristic, complemented
100#16839656C2211yescharacteristic, complemented
101#16839654C2211yescharacteristic, complemented
102#16839652C2211yescharacteristic, complemented
103#16839652C2211yescharacteristic, complemented
104#16839651C2211yescharacteristic, complemented
105#16839651C2211yescharacteristic, complemented
106#16839650C2211yescharacteristic, complemented
107#16839650C2211yescharacteristic, complemented
108#16839649C2211yescharacteristic, complemented
109#16839645C2211yescharacteristic, complemented
110#16839643C2211yescharacteristic, complemented
111#16839641C2211yescharacteristic
112#16839641C2211yescharacteristic
113#16839641C2211yescharacteristic
114#16839641C2211yescharacteristic
115#16839640C2211yescharacteristic, complemented
116#16839640C2211yescharacteristic, complemented
117#16839640C2211yescharacteristic, complemented
118#16839639C2211yescharacteristic
119#16839639C2211yescharacteristic
120#16839639C2211yescharacteristic
121#16839639C2211yescharacteristic
122#16839639C2211yescharacteristic, complemented
123#16839638C2211yescharacteristic
124#16839638C2211yescharacteristic
125#16839638C2211yescharacteristic
126#16839638C2211yescharacteristic
127#16839638C2211yescharacteristic
128#16839638C2211yescharacteristic
129#16839638C2211yescharacteristic
130#16839638C2211yescharacteristic
131#16839638C2211yescharacteristic, complemented
132#16839638C2211yescharacteristic, complemented
133#16839637C2211yescharacteristic
134#16839637C2211yescharacteristic
135#16839637C2211yescharacteristic
136#16839637C2211yescharacteristic, complemented
137#16839635C2211yescharacteristic, complemented
138#16839635C2211yescharacteristic, complemented
139#16839635C2211yescharacteristic, complemented
140#16839635C2211yescharacteristic, complemented
141#16839634C2211yescharacteristic
142#16839634C2211yescharacteristic
143#16839634C2211yescharacteristic
144#16839634C2211yescharacteristic
145#16839634C2211yescharacteristic
146#16839633C2211yescharacteristic, complemented
147#16839633C2211yescharacteristic, complemented
148#16839633C2211yescharacteristic, complemented
149#16839633C2211yescharacteristic, complemented
150#16839633C2211yescharacteristic, complemented
151#16839633C2211yescharacteristic, complemented
152#16839633C2211yescharacteristic, complemented
153#16839627C2211yescharacteristic, complemented
154#16839624C2211yescharacteristic, complemented
155#16839624C2211yescharacteristic, complemented
156#16839623C2211yescharacteristic, complemented
157#16839622C2211yescharacteristic
158#16839622C2211yescharacteristic
159#16839620C2211yescharacteristic, complemented
160#16839620C2211yescharacteristic, complemented
161#16839620C2211yescharacteristic, complemented
162#16839620C2211yescharacteristic, complemented
163#16839619C2211yescharacteristic, complemented
164#16839619C2211yescharacteristic, complemented
165#16839619C2211yescharacteristic, complemented
166#16839617C2211yescharacteristic
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic
169C22⋊C4×Dic61C2211yescharacteristic
170C2×#14519684C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C2×C22⋊Q8×C61C2211yescharacteristic
173C2×C22⋊Q8×C61C2211yescharacteristic, complemented
174C22×C22⋊C4×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C61×#399C2211yescharacteristic, complemented
177C61×#396C2211yescharacteristic, complemented
178C61×#396C2211yescharacteristic, complemented
179C61×#393C2211yescharacteristic, complemented
180C61×#385C2211yescharacteristic
181C61×#385C2211yescharacteristic
182C61×#385C2211yescharacteristic, complemented
183C61×#385C2211yescharacteristic, complemented
184C61×#380C2211yescharacteristic
185C61×#380C2211yescharacteristic, complemented
186C61×#379C2211yescharacteristic
187C24×D61C2311yescharacteristic
188C22×D244C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×C22⋊D61—24no—
191C22×C22⋊D61—42no—
192C22×C22⋊D61—42no—
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C22×C4×D61—42no—
206C22×C4×D61—42no—
207C22×C4×D61—42no—
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213#14519772—42no—
214#14519762—42no—
215#14519762—42no—
216#14519762—42no—
217#14519761—42no—
218#14519761—42no—
219#14519761—42no—
220#14519753—42no—
221#14519753—42no—
222#14519751—42no—
223#14519751—42no—
224#14519747—42no—
225#14519746—24no—
226#14519737—42no—
227C2×C4⋊Dic61C2311yescharacteristic
228C2×C4⋊Dic61C2311yescharacteristic
229C2×C4⋊Dic61C2311yescharacteristic
230C2×C4⋊Dic61C2311yescharacteristic
231C2×C4⋊Dic61C2311yescharacteristic
232C2×C4⋊Dic61C2311yescharacteristic
233C2×C4⋊Dic61C2311yescharacteristic
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×C22⋊Dic61—24no—
249C2×C22⋊Dic61—42no—
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×#11758198—42no—
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×#11758198C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
291C2×C4×Dic61C2311yescharacteristic
292#14519684C2311yescharacteristic
293#14519684C2311yescharacteristic
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
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330C25×C61C2311yescharacteristic
331C22×Q8×C61C2311yescharacteristic
332C23×C4×C61C2311yescharacteristic
333C23×C4×C61C2311yescharacteristic
334C23×C4×C61C2311yescharacteristic
335C23×C4×C61C2311yescharacteristic
336C22⋊Q8×C61—42no—
337C22⋊Q8×C61—42no—
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×C22⋊C4×C61—42no—
348C2×C22⋊C4×C61—42no—
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×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—22no—
383C23×D61—22no—
384C23×D61—41no—
385C23×D61—41no—
386C23×D61C2411yescharacteristic
387C23×D61C2411yescharacteristic
388C23×D61C2411yescharacteristic
389C2×Q8×C61—22no—
390C2×Q8×C61—41no—
391C2×Q8×C61—41no—
392C22×C4×C61—22no—
393C22×C4×C61—22no—
394C22×C4×C61—22no—
395C22×C4×C61—41no—
396C22×C4×C61—41no—
397C22×C4×C61—41no—
398C22×C4×C61—41no—
399C22×C4×C61—41no—
400C22×C4×C61—41no—
401C22×C4×C61—41no—
402C22×C4×C61—41no—
403C22×C4×C61—41no—
404C22×C4×C61C2411yescharacteristic
405C22×C4×C61C2411yescharacteristic
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C2×C22⋊D61—22no—
417C2×C22⋊D61—22no—
418C2×C22⋊D61—22no—
419C2×C22⋊D61—22no—
420C2×C22⋊D61—22no—
421C2×C22⋊D61—22no—
422C2×C22⋊D61—22no—
423C2×C22⋊D61—22no—
424C2×C22⋊D61—22no—
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C2×C22⋊D61—41no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61—41no—
432C2×C22⋊D61—41no—
433C2×C22⋊D61—41no—
434C2×C22⋊D61—41no—
435C2×C22⋊D61—41no—
436C2×C22⋊D61—41no—
437C2×C22⋊D61—416no—
438C22×Dic61—22no—
439C22×Dic61—22no—
440C22×Dic61—22no—
441C22×Dic61—22no—
442C22×Dic61—22no—
443C22×Dic61—41no—
444C22×Dic61—41no—
445C22×Dic61—41no—
446C22×Dic61—41no—
447C22×Dic61—41no—
448C22×Dic61—41no—
449C22×Dic61—41no—
450C22×Dic61—41no—
451C22×Dic61—41no—
452C22×Dic61—41no—
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C2×D244—22no—
467C2×D244—22no—
468C2×D244—41no—
469C2×D244—41no—
470C2×D244—41no—
471C2×D244—41no—
472C2×C4×D61—22no—
473C2×C4×D61—22no—
474C2×C4×D61—22no—
475C2×C4×D61—22no—
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—41no—
483C2×C4×D61—41no—
484C2×C4×D61—416no—
485C2×C4×D61—41no—
486C2×C4×D61—41no—
487C2×C4×D61—41no—
488C4⋊C4×C61—22no—
489C4⋊C4×C61—41no—
490C4⋊C4×C61—41no—
491C4⋊C4×C61—41no—
492C4⋊C4×C61—41no—
493C4⋊C4×C61—41no—
494C4⋊C4×C61—41no—
495C4⋊C4×C61—41no—
496C4⋊C4×C61—41no—
497C22⋊C4×C61—22no—
498C22⋊C4×C61—22no—
499C22⋊C4×C61—22no—
500C22⋊C4×C61—22no—
501C22⋊C4×C61—22no—
502C22⋊C4×C61—22no—
503C22⋊C4×C61—41no—
504C22⋊C4×C61—41no—
505C22⋊C4×C61—41no—
506C22⋊C4×C61—41no—
507C22⋊C4×C61—41no—
508C22⋊C4×C61—41no—
509C22⋊C4×C61—41no—
510C22⋊C4×C61—41no—
511C22⋊Dic61—22no—
512C22⋊Dic61—22no—
513C22⋊Dic61—22no—
514C22⋊Dic61—22no—
515C22⋊Dic61—22no—
516C22⋊Dic61—22no—
517C22⋊Dic61—22no—
518C22⋊Dic61—41no—
519C22⋊Dic61—41no—
520C22⋊Dic61—41no—
521C22⋊Dic61—41no—
522#11758198—22no—
523#11758198—22no—
524#11758198—22no—
525#11758198—22no—
526#11758198—22no—
527#11758198—22no—
528#11758198—22no—
529#11758198—22no—
530#11758198—22no—
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—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548#11758198—41no—
549C4⋊Dic61—22no—
550C4⋊Dic61—41no—
551C4⋊Dic61—41no—
552C4⋊Dic61—41no—
553C4⋊Dic61—41no—
554C4⋊Dic61—41no—
555C4⋊Dic61—41no—
556C4⋊Dic61—41no—
557C4⋊Dic61—41no—
558C4⋊Dic61—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—
569#11758196—41no—
570C4×Dic61—41no—
571C4×Dic61—41no—
572C4×Dic61—41no—
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—28no—
590C23×C61—44no—
591C23×C61—44no—
592C23×C61—82no—
593C23×C61—82no—
594C23×C61—82no—
595C23×C61—82no—
596C23×C61C2×#4112yes—
597C23×C61C2×#4112yes—
598C23×C61C2×#4112yes—
599C23×C61H(5,𝔽2)12yes—
600C23×C612−1+412yes—
601C23×C61C2511yescharacteristic
602C22×D61—28no—
603C22×D61—21no—
604C22×D61—21no—
605C22×D61—21no—
606C22×D61—21no—
607C22×D61—21no—
608C22×D61—21no—
609C22×D61—21no—
610C22×D61—21no—
611C22×D61—21no—
612C22×D61—21no—
613C22×D61—21no—
614C22×D61—21no—
615C22×D61—21no—
616C22×D61—21no—
617C22×D61—21no—
618C22×D61—21no—
619C22×D61—21no—
620C22×D61—21no—
621C22×D61—21no—
622C22×D61—44no—
623C22×D61—44no—
624C22×D61—44no—
625C22×D61—44no—
626C22×D61—44no—
627C22×D61—44no—
628C22×D61H(5,𝔽2)12yes—
629C22×D61H(5,𝔽2)12yes—
630Q8×C61—82no—
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—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—44no—
667C2×C4×C61—82no—
668C2×C4×C61—82no—
669C2×C4×C61—82no—
670C2×C4×C61H(5,𝔽2)12yes—
671C22⋊D61—44no—
672C22⋊D61—44no—
673C22⋊D61—44no—
674C22⋊D61—44no—
675C22⋊D61—44no—
676C22⋊D61—82no—
677C22⋊D61—82no—
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—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—44no—
718C2×Dic61—44no—
719C2×Dic61—82no—
720C2×Dic61—82no—
721C2×Dic61—82no—
722D244—82no—
723D244—82no—
724C4×D61—44no—
725C4×D61—44no—
726C4×D61—44no—
727C4×D61—44no—
728C4×D61—82no—
729#36775—611nomaximal, Sylow
730C22×C61—22no—
731C22×C61—22no—
732C22×C61—22no—
733C22×C61—22no—
734C22×C61—22no—
735C22×C61—22no—
736C22×C61—22no—
737C22×C61—22no—
738C22×C61—22no—
739C22×C61—22no—
740C22×C61—22no—
741C22×C61—22no—
742C22×C61—41no—
743C22×C61—41no—
744C22×C61—41no—
745C22×C61—41no—
746C22×C61—41no—
747C22×C61—41no—
748C22×C61—41no—
749C22×C61—41no—
750C22×C61—88no—
751C22×C61#53914yes—
752C22×C61C22×#4111yescharacteristic
753C22×C61C2×H(5,𝔽2)11yescharacteristic
754C22×C61C2×H(5,𝔽2)11yescharacteristic
755C22×C61C2×H(5,𝔽2)11yescharacteristic
756C22×C61C2×H(5,𝔽2)11yescharacteristic
757C22×C61C2×2−1+411yescharacteristic
758C22×C61#58511yescharacteristic
759C2×D61—22no—
760C2×D61—22no—
761C2×D61—22no—
762C2×D61—22no—
763C2×D61—22no—
764C2×D61—22no—
765C2×D61—416no—
766C2×D61—41no—
767C2×D61—41no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61—41no—
773C2×D61—41no—
774C2×D61—41no—
775C2×D61—41no—
776C2×D61—41no—
777C2×D61—41no—
778C2×D61—41no—
779C2×D61—41no—
780C2×D61—41no—
781C4×C61—22no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789C4×C61—41no—
790C4×C61—41no—
791C4×C61—41no—
792C4×C61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801Dic61—41no—
802Dic61—41no—
803Dic61—41no—
804Dic61—41no—
805Dic61—41no—
806#2849—611no—
807#2848—611no—
808#2782—611no—
809#2750—611no—
810#2746—611no—
811#2746—611no—
812#2743—611no—
813#2728—611no—
814#2708—611no—
815#2708—611no—
816#2706—611no—
817#2696—611no—
818#2695—611no—
819#2693—611no—
820#2693—611no—
821#2691—611no—
822#2687—611no—
823#2681—611no—
824#2646—611no—
825#2643—611no—
826#2505—611no—
827#2480—611no—
828#2450—611no—
829#2437D6111yescharacteristic, complemented
830#2418—611no—
831#2412—611no—
832#2410—611no—
833#2405—611no—
834#2321—611no—
835#2315—611no—
836C2×#386—611no—
837C2×C61—24no—
838C2×C61—42no—
839C2×C61—42no—
840C2×C61C2×#53911yescharacteristic
841C2×C61#349011yescharacteristic
842C2×C61#350511yescharacteristic
843C2×C61#353211yescharacteristic
844C2×C61#353411yescharacteristic
845C2×C61#353511yescharacteristic
846C2×C61#353611yescharacteristic
847D61—42no—
848D61—42no—
849D61—81no—
850C23×D4—611no—
851C24×C4—611no—
852C2×#126—611no—
853C2×#123—611no—
854C2×#123—611no—
855C2×#123—611no—
856C2×#123—611no—
857C2×#123—611no—
858C2×#123—611no—
859C2×C22⋊Q8—611no—
860C2×C22⋊Q8—611no—
861C2×C22⋊Q8C2×D6111yescharacteristic
862C2×C22⋊Q8C2×D6111yescharacteristic, complemented
863C2×#121—611no—
864C2×#121—611no—
865C2×#120—611no—
866C2×#120—611no—
867C2×C4×D4—611no—
868C22×C22⋊C4—611no—
869C22×C22⋊C4—611no—
870C22×C22⋊C4—611no—
871C22×C22⋊C4C2×D6111yescharacteristic
872C22×C22⋊C4C2×D6111yescharacteristic
873#401—611no—
874#400—611no—
875#400—611no—
876#400—611no—
877#400—611no—
878#400—611no—
879#400—611no—
880#400—611no—
881#400—611no—
882#400—611no—
883#400—611no—
884#400—611no—
885#399—611no—
886#399C2×D6111yescharacteristic, complemented
887#398—611no—
888#398—611no—
889#398—611no—
890#398—611no—
891#398—611no—
892#398—611no—
893#397—611no—
894#397—611no—
895#397—611no—
896#397—611no—
897#397—611no—
898#397—611no—
899#397—611no—
900#397—611no—
901#397—611no—
902#396—611no—
903#396—611no—
904#396—611no—
905#396C2×D6111yescharacteristic, complemented
906#396C2×D6111yescharacteristic, complemented
907#394—611no—
908#394—611no—
909#394—611no—
910#394—611no—
911#394—611no—
912#394—611no—
913#394—611no—
914#394—611no—
915#394—611no—
916#394—611no—
917#393—611no—
918#393C2×D6111yescharacteristic, complemented
919#392—611no—
920#392—611no—
921#391—611no—
922#390—611no—
923#390—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#387—611no—
935#387—611no—
936#387—611no—
937#386—611no—
938#386—611no—
939#386—611no—
940#386—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#386—611no—
959#385—611no—
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#385—611no—
977#385—611no—
978#385—611no—
979#385C2×D6111yescharacteristic
980#385C2×D6111yescharacteristic
981#385C2×D6111yescharacteristic, complemented
982#385C2×D6111yescharacteristic, complemented
983#382—611no—
984#381—611no—
985#381—611no—
986#381—611no—
987#380—611no—
988#380—611no—
989#380—611no—
990#380—611no—
991#380—611no—
992#380—611no—
993#380—611no—
994#380—611no—
995#380—611no—
996#380C2×D6111yescharacteristic
997#380C2×D6111yescharacteristic, complemented
998#379—611no—
999#379—611no—
1000#379—611no—
1001#379C2×D6111yescharacteristic
1002C4×C22⋊C4—611no—
1003C2×#95—611no—
1004C2×#95—611no—
1005C61#3677511yescharacteristic, complemented, Sylow
1006C25—611no—
1007C25C22×D6111yescharacteristic
1008C22×Q8C22×D6111yescharacteristic
1009C22×D4—611no—
1010C22×D4—611no—
1011C22×D4—611no—
1012C22×D4—611no—
1013C22×D4—611no—
1014C22×D4—611no—
1015C22×D4—611no—
1016C22×D4—611no—
1017C22×D4—611no—
1018C22×D4—1224no—
1019C22×D4—2442no—
1020C22×D4—2442no—
1021C23×C4—611no—
1022C23×C4—611no—
1023C23×C4—611no—
1024C23×C4—611no—
1025C23×C4—611no—
1026C23×C4—611no—
1027C23×C4—611no—
1028C23×C4—611no—
1029C23×C4—611no—
1030C23×C4—611no—
1031C23×C4—2442no—
1032C23×C4—2442no—
1033C23×C4—2442no—
1034C23×C4C22×D6111yescharacteristic
1035C23×C4C22×D6111yescharacteristic
1036C23×C4C22×D6111yescharacteristic
1037C23×C4C22×D6111yescharacteristic
1038#126—2442no—
1039#123—2442no—
1040#123—2442no—
1041#123—2442no—
1042#123—2442no—
1043#123—2442no—
1044#123—2442no—
1045C22⋊Q8—42no—
1046C22⋊Q8—42no—
1047C22⋊Q8—2442no—
1048C22⋊Q8—2442no—
1049#121—2442no—
1050#121—2442no—
1051#120—1224no—
1052#120—2442no—
1053C4×D4—2442no—
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⋊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×C4⋊C4C22×D6111yescharacteristic
1084C2×C22⋊C4—42no—
1085C2×C22⋊C4—42no—
1086C2×C22⋊C4—611no—
1087C2×C22⋊C4—611no—
1088C2×C22⋊C4—611no—
1089C2×C22⋊C4—611no—
1090C2×C22⋊C4—611no—
1091C2×C22⋊C4—611no—
1092C2×C22⋊C4—611no—
1093C2×C22⋊C4—611no—
1094C2×C22⋊C4—611no—
1095C2×C22⋊C4—611no—
1096C2×C22⋊C4—611no—
1097C2×C22⋊C4—611no—
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—611no—
1100C2×C22⋊C4—611no—
1101C2×C22⋊C4—611no—
1102C2×C22⋊C4—611no—
1103C2×C22⋊C4—611no—
1104C2×C22⋊C4—611no—
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—611no—
1121C2×C22⋊C4—611no—
1122C2×C22⋊C4—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—1224no—
1125C2×C22⋊C4—2442no—
1126C2×C22⋊C4—2442no—
1127C2×C22⋊C4C22×D6111yescharacteristic
1128C2×C22⋊C4C22×D6111yescharacteristic
1129C2×C22⋊C4C22×D6111yescharacteristic
1130C2×C22⋊C4C22×D6111yescharacteristic
1131C2×C22⋊C4C22×D6111yescharacteristic
1132C2×C22⋊C4C22×D6111yescharacteristic
1133C2×C22⋊C4C22×D6111yescharacteristic
1134C2×C22⋊C4C22×D6111yescharacteristic
1135C2×C22⋊C4C22×D6111yescharacteristic
1136C2×C22⋊C4C22×D6111yescharacteristic
1137C2×C22⋊C4C22×D6111yescharacteristic
1138C2×C22⋊C4C22×D6111yescharacteristic
1139C2×C22⋊C4C22×D6111yescharacteristic
1140C2×C22⋊C4C22×D6111yescharacteristic
1141C2×C42—611no—
1142C2×C42—611no—
1143C2×C42—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#95—611no—
1171#95—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#95C22×D6111yescharacteristic
1183#95C22×D6111yescharacteristic
1184#95C22×D6111yescharacteristic
1185#95C22×D6111yescharacteristic
1186#95C22×D6111yescharacteristic
1187#95C22×D6111yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—611no—
1195C24—611no—
1196C24—611no—
1197C24—1222no—
1198C24—1222no—
1199C24—1222no—
1200C24—1222no—
1201C24—1222no—
1202C24—2441no—
1203C24—2441no—
1204C24#1175822614yes—
1205C24C23×D6111yescharacteristic
1206C24C23×D6111yescharacteristic
1207C24C23×D6111yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×D4—1222no—
1212C2×D4—1222no—
1213C2×D4—1222no—
1214C2×D4—1222no—
1215C2×D4—1222no—
1216C2×D4—1222no—
1217C2×D4—1222no—
1218C2×D4—1222no—
1219C2×D4—1222no—
1220C2×D4—1222no—
1221C2×D4—1222no—
1222C2×D4—1222no—
1223C2×D4—1222no—
1224C2×D4—1222no—
1225C2×D4—1222no—
1226C2×D4—2441no—
1227C2×D4—2441no—
1228C2×D4—2441no—
1229C2×D4—2441no—
1230C2×D4—2441no—
1231C2×D4—2441no—
1232C2×D4—2441no—
1233C2×D4—2441no—
1234C2×D4—2441no—
1235C2×D4—2441no—
1236C2×D4—2441no—
1237C2×D4—2441no—
1238C2×D4—24416no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—611no—
1252C22×C4—611no—
1253C22×C4—611no—
1254C22×C4—611no—
1255C22×C4—611no—
1256C22×C4—611no—
1257C22×C4—611no—
1258C22×C4—611no—
1259C22×C4—611no—
1260C22×C4—611no—
1261C22×C4—611no—
1262C22×C4—611no—
1263C22×C4—611no—
1264C22×C4—1222no—
1265C22×C4—1222no—
1266C22×C4—1222no—
1267C22×C4—1222no—
1268C22×C4—1222no—
1269C22×C4—1222no—
1270C22×C4—1222no—
1271C22×C4—1222no—
1272C22×C4—1222no—
1273C22×C4—2441no—
1274C22×C4—2441no—
1275C22×C4—2441no—
1276C22×C4—2441no—
1277C22×C4—2441no—
1278C22×C4—2441no—
1279C22×C4—2441no—
1280C22×C4—2441no—
1281C22×C4—2441no—
1282C22×C4—2441no—
1283C22×C4—2441no—
1284C22×C4—24416no—
1285C22×C4—2441no—
1286C22×C4—2441no—
1287C22×C4—2441no—
1288C22×C4—2441no—
1289C22×C4—2441no—
1290C22×C4—2441no—
1291C22×C4—2441no—
1292C22×C4—2441no—
1293C22×C4—2441no—
1294C22×C4—2441no—
1295C22×C4C23×D6111yescharacteristic
1296C22×C4C23×D6111yescharacteristic
1297C22×C4C23×D6111yescharacteristic
1298C22×C4C23×D6111yescharacteristic
1299C22×C4C23×D6111yescharacteristic
1300C22×C4C23×D6111yescharacteristic
1301C22×C4C23×D6111yescharacteristic
1302C22×C4C23×D6111yescharacteristic
1303C22×C4C23×D6111yescharacteristic
1304C22×C4C23×D6111yescharacteristic
1305C22×C4C23×D6111yescharacteristic
1306C22×C4C23×D6111yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—1222no—
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—
1328C4⋊C4—2441no—
1329C4⋊C4—2441no—
1330C4⋊C4—2441no—
1331C4⋊C4—2441no—
1332C4⋊C4—2441no—
1333C4⋊C4—2441no—
1334C4⋊C4—2441no—
1335C4⋊C4—2441no—
1336C4⋊C4—2441no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—1222no—
1352C22⋊C4—1222no—
1353C22⋊C4—1222no—
1354C22⋊C4—1222no—
1355C22⋊C4—1222no—
1356C22⋊C4—1222no—
1357C22⋊C4—1222no—
1358C22⋊C4—1222no—
1359C22⋊C4—1222no—
1360C22⋊C4—1222no—
1361C22⋊C4—1222no—
1362C22⋊C4—1222no—
1363C22⋊C4—1222no—
1364C22⋊C4—1222no—
1365C22⋊C4—1222no—
1366C22⋊C4—1222no—
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—
1378C22⋊C4—2441no—
1379C22⋊C4—2441no—
1380C22⋊C4—2441no—
1381C22⋊C4—2441no—
1382C22⋊C4—2441no—
1383C22⋊C4—2441no—
1384C22⋊C4—2441no—
1385C22⋊C4—2441no—
1386C22⋊C4—2441no—
1387C22⋊C4—2441no—
1388C22⋊C4—2441no—
1389C42—2441no—
1390C42—2441no—
1391C42—2441no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—28no—
1409C23—44no—
1410C23—44no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23—82no—
1415C23—612no—
1416C23—612no—
1417C23—1228no—
1418C23—1221no—
1419C23—1221no—
1420C23—1221no—
1421C23—1221no—
1422C23—1221no—
1423C23—1221no—
1424C23—1221no—
1425C23—1221no—
1426C23—1221no—
1427C23—1221no—
1428C23—1221no—
1429C23—1221no—
1430C23—1221no—
1431C23—1221no—
1432C23—1221no—
1433C23—1221no—
1434C23—1221no—
1435C23—1221no—
1436C23—1221no—
1437C23—2444no—
1438C23—2444no—
1439C23—2444no—
1440C23—2444no—
1441C23—2444no—
1442C23—2444no—
1443C23C2×#1175822612yes—
1444C23C2×#1175822612yes—
1445C23C2×#1175822612yes—
1446C23#1451982212yes—
1447C23#1451982412yes—
1448C23C24×D6111yescharacteristic
1449Q8—82no—
1450D4—4882no—
1451D4—4882no—
1452D4—4882no—
1453D4—4882no—
1454D4—2444no—
1455D4—2444no—
1456D4—2444no—
1457D4—2444no—
1458D4—2444no—
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—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—1221no—
1504C2×C4—1221no—
1505C2×C4—1221no—
1506C2×C4—1221no—
1507C2×C4—1221no—
1508C2×C4—1221no—
1509C2×C4—1221no—
1510C2×C4—1221no—
1511C2×C4—1221no—
1512C2×C4—1221no—
1513C2×C4—1221no—
1514C2×C4—1221no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—1221no—
1526C2×C4—1221no—
1527C2×C4—1221no—
1528C2×C4—1221no—
1529C2×C4—1221no—
1530C2×C4—1221no—
1531C2×C4—1221no—
1532C2×C4—1221no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—4882no—
1538C2×C4—4882no—
1539C2×C4—4882no—
1540C2×C4—4882no—
1541C2×C4—2444no—
1542C2×C4—2444no—
1543C2×C4—2444no—
1544C2×C4—2444no—
1545C2×C4—2444no—
1546C2×C4—2444no—
1547C2×C4#1451982212yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—88no—
1569C22—1222no—
1570C22—1222no—
1571C22—1222no—
1572C22—1222no—
1573C22—1222no—
1574C22—1222no—
1575C22—24416no—
1576C22—2441no—
1577C22—2441no—
1578C22—2441no—
1579C22—2441no—
1580C22—2441no—
1581C22—2441no—
1582C22—2441no—
1583C22—2441no—
1584C22—2441no—
1585C22—2441no—
1586C22—2441no—
1587C22—2441no—
1588C22—2441no—
1589C22—2441no—
1590C22—2441no—
1591C22#1684036114yes—
1592C22C22×#1175822611yescharacteristic
1593C22H(5,𝔽2)×D6111yescharacteristic
1594C22H(5,𝔽2)×D6111yescharacteristic
1595C22C2×#1451982211yescharacteristic
1596C22C2×#1451982211yescharacteristic
1597C22C2×#1451982411yescharacteristic
1598C22#1684059811yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—2441no—
1612C4—2441no—
1613C4—2441no—
1614C4—2441no—
1615C4—2441no—
1616C4—2441no—
1617C4—2441no—
1618C4—2441no—
1619C4—2441no—
1620C4—2441no—
1621C4—2441no—
1622C4—2441no—
1623C4—2441no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—4881no—
1628C2—2442no—
1629C2—2442no—
1630C2C2×#1684036111yescharacteristic
1631C2#2145950911yescharacteristic
1632C2#2145966011yescharacteristic
1633C2#2145996911yescharacteristic
1634C2#2146000111yescharacteristic
1635C2#2146001511yescharacteristic
1636C2#2146003911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2437C2
prime radical#21449187C2
hypercenter#2437D61
hypocenterC61#36775
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. #21454114C2semidirect
2. #21454103C2semidirect
3. #21453491C2semidirect
4. #21453058C2semidirect
5. #21453009C2semidirect
6. #21452998C2semidirect
7. #21452964C2semidirect
8. #21452786C2semidirect
9. #21452538C2semidirect
10. #21452538C2semidirect
11. #21452506C2semidirect
12. #21452376C2semidirect
13. #21452361C2semidirect
14. #21452331C2semidirect
15. #21452331C2semidirect
16. #21452300C2semidirect
17. #21452239C2semidirect
18. #21452174C2semidirect
19. #21451792C2semidirect
20. #21451775C2semidirect
21. #21450324C2semidirect
22. #21450072C2semidirect
23. #21449639C2semidirect
24. #21449287C2semidirect
25. #21449209C2semidirect
27. #21449147C2semidirect
28. #21448474C2semidirect
29. #21448431C2semidirect
30. C2×#16839638C2semidirect
31. C61×#2437C2semidirect
34. C2×#14519772C22semidirect
35. C2×#14519762C22semidirect
36. C2×#14519762C22semidirect
37. C2×#14519762C22semidirect
40. C2×#14519761C22semidirect
41. C2×#14519753C22semidirect
42. C2×#14519753C22semidirect
51. C61⋊#401C22semidirect
52. #16839704C22semidirect
53. #16839704C22semidirect
54. #16839704C22semidirect
55. #16839704C22semidirect
56. #16839701C22semidirect
57. #16839701C22semidirect
58. #16839701C22semidirect
59. #16839701C22semidirect
60. #16839701C22semidirect
61. #16839700C22semidirect
62. #16839700C22semidirect
63. #16839697C22semidirect
64. #16839695C22semidirect
65. #16839695C22semidirect
66. #16839695C22semidirect
67. #16839694C22semidirect
68. #16839694C22semidirect
69. #16839694C22semidirect
70. #16839691C22semidirect
71. #16839691C22semidirect
72. #16839691C22semidirect
73. #16839689C22semidirect
74. #16839689C22semidirect
75. #16839688C22semidirect
76. #16839688C22semidirect
77. #16839687C22semidirect
78. #16839687C22semidirect
79. #16839684C22semidirect
80. #16839684C22semidirect
81. #16839684C22semidirect
82. #16839680C22semidirect
83. #16839679C22semidirect
90. #16839678C22semidirect
91. #16839678C22semidirect
92. #16839673C22semidirect
95. #16839669C22semidirect
96. #16839662C22semidirect
97. #16839662C22semidirect
98. #16839661C22semidirect
99. #16839656C22semidirect
100. #16839656C22semidirect
101. #16839654C22semidirect
102. #16839652C22semidirect
103. #16839652C22semidirect
104. #16839651C22semidirect
105. #16839651C22semidirect
106. #16839650C22semidirect
107. #16839650C22semidirect
108. #16839649C22semidirect
109. #16839645C22semidirect
110. #16839643C22semidirect
115. #16839640C22semidirect
116. #16839640C22semidirect
117. #16839640C22semidirect
122. #16839639C22semidirect
131. #16839638C22semidirect
132. #16839638C22semidirect
136. #16839637C22semidirect
137. #16839635C22semidirect
138. #16839635C22semidirect
139. #16839635C22semidirect
140. #16839635C22semidirect
146. #16839633C22semidirect
147. #16839633C22semidirect
148. #16839633C22semidirect
149. #16839633C22semidirect
150. #16839633C22semidirect
151. #16839633C22semidirect
152. #16839633C22semidirect
153. #16839627C22semidirect
154. #16839624C22semidirect
155. #16839624C22semidirect
156. #16839623C22semidirect
159. #16839620C22semidirect
160. #16839620C22semidirect
161. #16839620C22semidirect
162. #16839620C22semidirect
163. #16839619C22semidirect
164. #16839619C22semidirect
165. #16839619C22semidirect
173. C2×C22⋊Q8×C61C22semidirect
176. C61×#399C22semidirect
177. C61×#396C22semidirect
178. C61×#396C22semidirect
179. C61×#393C22semidirect
182. C61×#385C22semidirect
183. C61×#385C22semidirect
185. C61×#380C22semidirect
829. #2437D61semidirect
862. C2×C22⋊Q8C2×D61semidirect
886. #399C2×D61semidirect
905. #396C2×D61semidirect
906. #396C2×D61semidirect
918. #393C2×D61semidirect
981. #385C2×D61semidirect
982. #385C2×D61semidirect
997. #380C2×D61semidirect
1005. C61#36775semidirect

Maximal subgroups

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

subgroupindex
#214541142
#214541032
#214534912
#214530582
#214530092
#214529982
#214529642
#214527862
#214525382
#214525062
#214523762
#214523612
#214523312
#214523002
#214522392
#214521742
#214517922
#214517752
#214503242
#214500722
#214496392
#214492872
#214492092
#214491872
#214491472
#214484742
#214484312
C2×#168396382
C61×#24372
#3677561