Finite Group Databasebeta

← #29888337

Subgroups — #29888337

Order 15616.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 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#21453434C211yesmaximal, characteristic, complemented
4#21453431C211yesmaximal, characteristic, complemented
5#21453195C211yesmaximal, characteristic, complemented
6#21453057C211yesmaximal, characteristic, complemented
7#21453039C211yesmaximal, characteristic, complemented
8#21452955C211yesmaximal, characteristic, complemented
9#21452464C211yesmaximal, characteristic, complemented
10#21452377C211yesmaximal, characteristic, complemented
11#21452362C211yesmaximal, characteristic, complemented
12#21452253C211yesmaximal, characteristic, complemented
13#21452248C211yesmaximal, characteristic, complemented
14#21452196C211yesmaximal, characteristic, complemented
15#21452141C211yesmaximal, characteristic, complemented
16#21452122C211yesmaximal, characteristic, complemented
17#21452021C211yesmaximal, characteristic, complemented
18#21451773C211yesmaximal, characteristic, complemented
19#21451746C211yesmaximal, characteristic, complemented
20#21450386C211yesmaximal, characteristic, complemented
21#21449943C211yesmaximal, characteristic, complemented
22#21449564C211yesmaximal, characteristic, complemented
23#21449481C211yesmaximal, characteristic, complemented
24#21449356C211yesmaximal, characteristic, complemented
25#21449196C211yesmaximal, characteristic, complemented
26#21449186C211yesmaximal, characteristic, complemented
27#21449131C211yesmaximal, characteristic, complemented
28#21448478C211yesmaximal, characteristic, complemented
29#21448396C211yesmaximal, characteristic, complemented
30#386×D61C211yesmaximal, characteristic, complemented
31C61×#2749C211yesmaximal, characteristic, complemented
32C23×D244C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic, complemented
35C2×#14519763C2211yescharacteristic, complemented
36C2×#14519762C2211yescharacteristic, complemented
37C2×#14519762C2211yescharacteristic, complemented
38C2×#14519757C2211yescharacteristic, complemented
39C2×#14519755C2211yescharacteristic, complemented
40C2×#14519750C2211yescharacteristic
41C2×#14519750C2211yescharacteristic
42C2×#14519750C2211yescharacteristic, complemented
43C2×#14519750C2211yescharacteristic, complemented
44C2×#14519749C2211yescharacteristic, complemented
45C2×#14519749C2211yescharacteristic, complemented
46C2×#14519748C2211yescharacteristic, complemented
47C2×#14519747C2211yescharacteristic
48C2×#14519747C2211yescharacteristic
49C2×#14519747C2211yescharacteristic
50C2×#14519745C2211yescharacteristic
51C2×#14519745C2211yescharacteristic
52C2×#14519745C2211yescharacteristic, complemented
53C2×#14519745C2211yescharacteristic, complemented
54C2×#14519737C2211yescharacteristic, complemented
55C2×C22⋊C4×D61C2211yescharacteristic
56C2×C22⋊C4×D61C2211yescharacteristic
57C2×C22⋊C4×D61C2211yescharacteristic
58C2×C22⋊C4×D61C2211yescharacteristic, complemented
59C61⋊#401C2211yescharacteristic, complemented
60C61⋊#401C2211yescharacteristic, complemented
61#16839704C2211yescharacteristic, complemented
62#16839704C2211yescharacteristic, complemented
63#16839703C2211yescharacteristic, complemented
64#16839703C2211yescharacteristic, complemented
65#16839703C2211yescharacteristic, complemented
66#16839702C2211yescharacteristic, complemented
67#16839698C2211yescharacteristic, complemented
68#16839691C2211yescharacteristic, complemented
69#16839691C2211yescharacteristic, complemented
70#16839691C2211yescharacteristic, complemented
71#16839691C2211yescharacteristic, complemented
72#16839689C2211yescharacteristic, complemented
73#16839688C2211yescharacteristic, complemented
74#16839688C2211yescharacteristic, complemented
75#16839687C2211yescharacteristic, complemented
76#16839686C2211yescharacteristic, complemented
77#16839685C2211yescharacteristic, complemented
78#16839684C2211yescharacteristic, complemented
79#16839680C2211yescharacteristic, complemented
80#16839680C2211yescharacteristic, complemented
81#16839679C2211yescharacteristic, complemented
82#16839678C2211yescharacteristic
83#16839678C2211yescharacteristic, complemented
84#16839678C2211yescharacteristic, complemented
85#16839678C2211yescharacteristic, complemented
86#16839677C2211yescharacteristic, complemented
87#16839677C2211yescharacteristic, complemented
88#16839676C2211yescharacteristic
89#16839675C2211yescharacteristic, complemented
90#16839675C2211yescharacteristic, complemented
91#16839674C2211yescharacteristic, complemented
92#16839674C2211yescharacteristic, complemented
93#16839672C2211yescharacteristic
94#16839672C2211yescharacteristic
95#16839671C2211yescharacteristic
96#16839671C2211yescharacteristic
97#16839671C2211yescharacteristic, complemented
98#16839671C2211yescharacteristic, complemented
99#16839671C2211yescharacteristic, complemented
100#16839670C2211yescharacteristic
101#16839664C2211yescharacteristic, complemented
102#16839663C2211yescharacteristic, complemented
103#16839662C2211yescharacteristic, complemented
104#16839656C2211yescharacteristic, complemented
105#16839656C2211yescharacteristic, complemented
106#16839654C2211yescharacteristic, complemented
107#16839653C2211yescharacteristic, complemented
108#16839653C2211yescharacteristic, complemented
109#16839652C2211yescharacteristic, complemented
110#16839652C2211yescharacteristic, complemented
111#16839651C2211yescharacteristic, complemented
112#16839650C2211yescharacteristic, complemented
113#16839649C2211yescharacteristic, complemented
114#16839644C2211yescharacteristic, complemented
115#16839642C2211yescharacteristic
116#16839642C2211yescharacteristic, complemented
117#16839641C2211yescharacteristic
118#16839641C2211yescharacteristic, complemented
119#16839641C2211yescharacteristic, complemented
120#16839641C2211yescharacteristic, complemented
121#16839640C2211yescharacteristic
122#16839640C2211yescharacteristic
123#16839640C2211yescharacteristic
124#16839640C2211yescharacteristic
125#16839640C2211yescharacteristic
126#16839640C2211yescharacteristic
127#16839640C2211yescharacteristic
128#16839640C2211yescharacteristic
129#16839640C2211yescharacteristic, complemented
130#16839640C2211yescharacteristic, complemented
131#16839640C2211yescharacteristic, complemented
132#16839640C2211yescharacteristic, complemented
133#16839640C2211yescharacteristic, complemented
134#16839640C2211yescharacteristic, complemented
135#16839640C2211yescharacteristic, complemented
136#16839640C2211yescharacteristic, complemented
137#16839639C2211yescharacteristic, complemented
138#16839639C2211yescharacteristic, complemented
139#16839639C2211yescharacteristic, complemented
140#16839639C2211yescharacteristic, complemented
141#16839639C2211yescharacteristic, complemented
142#16839638C2211yescharacteristic
143#16839638C2211yescharacteristic
144#16839638C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839638C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839636C2211yescharacteristic, complemented
149#16839636C2211yescharacteristic, complemented
150#16839635C2211yescharacteristic, complemented
151#16839634C2211yescharacteristic, complemented
152#16839633C2211yescharacteristic, complemented
153#16839633C2211yescharacteristic, complemented
154#16839633C2211yescharacteristic, complemented
155#16839633C2211yescharacteristic, complemented
156#16839625C2211yescharacteristic, complemented
157#16839624C2211yescharacteristic, complemented
158#16839624C2211yescharacteristic, complemented
159#16839623C2211yescharacteristic, complemented
160#16839621C2211yescharacteristic, complemented
161#16839621C2211yescharacteristic, complemented
162#16839620C2211yescharacteristic, complemented
163#16839619C2211yescharacteristic, complemented
164#16839617C2211yescharacteristic
165#16839617C2211yescharacteristic, complemented
166#16839617C2211yescharacteristic, complemented
167#16839617C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic, complemented
169C4×#11758198C2211yescharacteristic, complemented
170#95×D61C2211yescharacteristic, complemented
171#95×D61C2211yescharacteristic, complemented
172C61×#400C2211yescharacteristic, complemented
173C61×#397C2211yescharacteristic, complemented
174C61×#397C2211yescharacteristic, complemented
175C61×#396C2211yescharacteristic, complemented
176C61×#394C2211yescharacteristic, complemented
177C61×#392C2211yescharacteristic
178C61×#390C2211yescharacteristic, complemented
179C61×#388C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic
182C61×#386C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic, complemented
184C61×#385C2211yescharacteristic, complemented
185C61×#383C2211yescharacteristic, complemented
186C61×#381C2211yescharacteristic, complemented
187C24×D61C2311yescharacteristic
188C24×D61C2311yescharacteristic
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×D244—24no—
192C22×D244—42no—
193C22×D244—42no—
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C2×D4×D61—24no—
211C2×D4×D61—42no—
212C2×D4×D61—42no—
213C23×Dic61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C22×C4×D61—42no—
216C22×C4×D61—42no—
217C22×C4×D61—42no—
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227#14519763—42no—
228#14519762—42no—
229#14519762—42no—
230#14519757—42no—
231#14519755—42no—
232#14519750—42no—
233#14519750—42no—
234#14519750—42no—
235#14519750—42no—
236#14519749—42no—
237#14519749—42no—
238#14519748—42no—
239#14519747—42no—
240#14519747—42no—
241#14519747—42no—
242#14519745—24no—
243#14519745—42no—
244#14519745—42no—
245#14519745—42no—
246#14519737—42no—
247C2×C4⋊Dic61C2311yescharacteristic
248C2×C4⋊Dic61C2311yescharacteristic
249C2×C4⋊Dic61C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C22⋊C4×D61—42no—
307C22⋊C4×D61—42no—
308C22⋊C4×D61—42no—
309C22⋊C4×D61—42no—
310C2×C4×Dic61C2311yescharacteristic
311C2×C4×Dic61C2311yescharacteristic
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
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340C22×D4×C61C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C22×D4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344C23×C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊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×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C42×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375C24×C61C2411yescharacteristic
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C23×D61—22no—
379C23×D61—22no—
380C23×D61—22no—
381C23×D61—22no—
382C23×D61—22no—
383C23×D61—22no—
384C23×D61—22no—
385C23×D61—22no—
386C23×D61—41no—
387C23×D61—41no—
388C23×D61—41no—
389C23×D61—41no—
390C23×D61—41no—
391C23×D61—41no—
392C23×D61—41no—
393C23×D61—41no—
394C23×D61—41no—
395C23×D61—41no—
396C23×D61—41no—
397C23×D61—41no—
398C23×D61#4114yes—
399C23×D61C2411yescharacteristic
400C23×D61C2411yescharacteristic
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C2×D4×C61—22no—
405C2×D4×C61—22no—
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—41no—
409C2×D4×C61—41no—
410C2×D4×C61—41no—
411C2×D4×C61—41no—
412C2×D4×C61—41no—
413C22×C4×C61—22no—
414C22×C4×C61—41no—
415C22×C4×C61—41no—
416C22×C4×C61—41no—
417C22×C4×C61—41no—
418C22×C4×C61—41no—
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
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—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—22no—
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—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
458C22×Dic61—22no—
459C22×Dic61—41no—
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
475D4×D61—416no—
476C2×D244—22no—
477C2×D244—22no—
478C2×D244—22no—
479C2×D244—22no—
480C2×D244—22no—
481C2×D244—22no—
482C2×D244—22no—
483C2×D244—22no—
484C2×D244—22no—
485C2×D244—22no—
486C2×D244—22no—
487C2×D244—22no—
488C2×D244—41no—
489C2×D244—41no—
490C2×D244—41no—
491C2×D244—41no—
492C2×D244—41no—
493C2×D244—416no—
494C2×D244—41no—
495C2×D244—41no—
496C2×D244—41no—
497C2×D244—41no—
498C2×C4×D61—22no—
499C2×C4×D61—22no—
500C2×C4×D61—22no—
501C2×C4×D61—22no—
502C2×C4×D61—22no—
503C2×C4×D61—22no—
504C2×C4×D61—22no—
505C2×C4×D61—22no—
506C2×C4×D61—22no—
507C2×C4×D61—41no—
508C2×C4×D61—41no—
509C2×C4×D61—41no—
510C2×C4×D61—41no—
511C2×C4×D61—41no—
512C2×C4×D61—41no—
513C2×C4×D61—41no—
514C2×C4×D61—41no—
515C2×C4×D61—416no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C2×C4×D61—41no—
525C2×C4×D61—41no—
526C2×Dic122—41no—
527C2×Dic122—41no—
528C2×Dic122—41no—
529C4⋊C4×C61—41no—
530C4⋊C4×C61—41no—
531C4⋊C4×C61—41no—
532C4⋊C4×C61—41no—
533C22⋊C4×C61—22no—
534C22⋊C4×C61—41no—
535C22⋊C4×C61—41no—
536C22⋊C4×C61—41no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊C4×C61—41no—
542C22⋊C4×C61—41no—
543C22⋊C4×C61—41no—
544C22⋊C4×C61—41no—
545C22⋊C4×C61—41no—
546C42×C61—41no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—22no—
550C22⋊Dic61—22no—
551C22⋊Dic61—41no—
552C22⋊Dic61—41no—
553C22⋊Dic61—41no—
554C22⋊Dic61—41no—
555C22⋊Dic61—41no—
556C22⋊Dic61—41no—
557#11758198—22no—
558#11758198—22no—
559#11758198—22no—
560#11758198—22no—
561#11758198—22no—
562#11758198—22no—
563#11758198—22no—
564#11758198—22no—
565#11758198—22no—
566#11758198—41no—
567#11758198—41no—
568#11758198—41no—
569#11758198—41no—
570#11758198—41no—
571#11758198—41no—
572#11758198—41no—
573#11758198—41no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578#11758198—41no—
579#11758198—41no—
580#11758198—41no—
581#11758198—41no—
582#11758198—41no—
583#11758198—41no—
584#11758198—41no—
585#11758198—41no—
586#11758198—41no—
587#11758198—41no—
588#11758198—41no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592#11758198—41no—
593#11758198—41no—
594C4⋊Dic61—41no—
595C4⋊Dic61—41no—
596C4⋊Dic61—41no—
597#11758196—22no—
598#11758196—22no—
599#11758196—41no—
600#11758196—41no—
601#11758196—41no—
602#11758196—41no—
603#11758196—41no—
604#11758196—41no—
605#11758196—41no—
606C4×Dic61—41no—
607C4×Dic61—41no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61C2×#4112yes—
628C23×C61H(5,𝔽2)12yes—
629C23×C61C2511yescharacteristic
630C22×D61—21no—
631C22×D61—21no—
632C22×D61—21no—
633C22×D61—21no—
634C22×D61—28no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—28no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—44no—
663C22×D61—44no—
664C22×D61—44no—
665C22×D61—44no—
666C22×D61—44no—
667C22×D61—44no—
668C22×D61—44no—
669C22×D61—44no—
670C22×D61—44no—
671C22×D61—82no—
672C22×D61—82no—
673C22×D61—82no—
674C22×D61—82no—
675C22×D61—82no—
676C22×D61—82no—
677C22×D61—82no—
678C22×D61—82no—
679C22×D61—82no—
680C22×D61—82no—
681C22×D61C2×#4112yes—
682C22×D61C2×#4112yes—
683C22×D61H(5,𝔽2)12yes—
684C22×D61H(5,𝔽2)12yes—
685C22×D61H(5,𝔽2)12yes—
686D4×C61—44no—
687D4×C61—82no—
688D4×C61—82no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—44no—
726C2×C4×C61—44no—
727C22⋊D61—44no—
728C22⋊D61—44no—
729C22⋊D61—44no—
730C22⋊D61—82no—
731C22⋊D61—82no—
732C22⋊D61—82no—
733C22⋊D61—82no—
734C22⋊D61—82no—
735C22⋊D61—82no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—44no—
769C2×Dic61—82no—
770C2×Dic61H(5,𝔽2)12yes—
771D244—44no—
772D244—44no—
773D244—44no—
774D244—44no—
775D244—44no—
776D244—82no—
777D244—82no—
778C4×D61—44no—
779C4×D61—44no—
780C4×D61—44no—
781C4×D61—44no—
782C4×D61—44no—
783C4×D61—82no—
784C4×D61—82no—
785C4×D61—82no—
786C4×D61—82no—
787Dic122—82no—
788#36776—611nomaximal, Sylow
789C22×C61—22no—
790C22×C61—22no—
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—22no—
794C22×C61—22no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61C22×#4111yescharacteristic
811C22×C61C2×H(5,𝔽2)11yescharacteristic
812C22×C61C2×H(5,𝔽2)11yescharacteristic
813C22×C61C2×H(5,𝔽2)11yescharacteristic
814C22×C61C2×H(5,𝔽2)11yescharacteristic
815C22×C61C2×H(5,𝔽2)11yescharacteristic
816C22×C61#58511yescharacteristic
817C2×D61—22no—
818C2×D61—22no—
819C2×D61—22no—
820C2×D61—22no—
821C2×D61—22no—
822C2×D61—22no—
823C2×D61—22no—
824C2×D61—22no—
825C2×D61—22no—
826C2×D61—22no—
827C2×D61—22no—
828C2×D61—22no—
829C2×D61—416no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—88no—
853C2×D61—88no—
854C2×D61#53814yes—
855C4×C61—41no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61—41no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867Dic61—22no—
868Dic61—41no—
869Dic61—41no—
870Dic61—41no—
871Dic61—41no—
872Dic61—41no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876Dic61—41no—
877Dic61—41no—
878#2849—611no—
879#2847—611no—
880#2778—611no—
881#2778—611no—
882#2760—611no—
883#2750—611no—
884#2749—611no—
885#2749D6111yescharacteristic, complemented
886#2743—611no—
887#2703—611no—
888#2697—611no—
889#2696—611no—
890#2688—611no—
891#2688—611no—
892#2684—611no—
893#2678—611no—
894#2676—611no—
895#2668—611no—
896#2643—611no—
897#2639—611no—
898#2510—611no—
899#2472—611no—
900#2444—611no—
901#2437—611no—
902#2424—611no—
903#2410—611no—
904#2410—611no—
905#2403—611no—
906#2321—611no—
907#2308—611no—
908C2×#386—611no—
909C2×C61—42no—
910C2×C61—42no—
911C2×C61—81no—
912C2×C61C2×#53811yescharacteristic
913C2×C61#349011yescharacteristic
914C2×C61#350511yescharacteristic
915C2×C61#353211yescharacteristic
916C2×C61#353411yescharacteristic
917C2×C61#353411yescharacteristic
918C2×C61#353711yescharacteristic
919D61—24no—
920D61—42no—
921D61—42no—
922D61—81no—
923D61—81no—
924C23×D4—611no—
925C23×D4—611no—
926C24×C4—611no—
927C2×#124—611no—
928C2×#123—611no—
929C2×#123—611no—
930C2×C22⋊Q8—611no—
931C2×C22⋊Q8—611no—
932C2×#121—611no—
933C2×#121—611no—
934C2×#121—611no—
935C2×#121—611no—
936C2×#121—611no—
937C2×#121—611no—
938C2×#121—611no—
939C2×#120—611no—
940C2×#120—611no—
941C2×#120—611no—
942C2×#120—611no—
943C2×#120—611no—
944C2×#120—611no—
945C2×#120—611no—
946C2×C4×D4—611no—
947C22×C22⋊C4—611no—
948C22×C22⋊C4—611no—
949C22×C22⋊C4—611no—
950C22×C22⋊C4—611no—
951#401—611no—
952#401—611no—
953#400—611no—
954#400—611no—
955#400—611no—
956#400—611no—
957#400—611no—
958#400—611no—
959#400C2×D6111yescharacteristic, complemented
960#399—611no—
961#397—611no—
962#397—611no—
963#397—611no—
964#397—611no—
965#397—611no—
966#397—611no—
967#397—611no—
968#397—611no—
969#397C2×D6111yescharacteristic, complemented
970#397C2×D6111yescharacteristic, complemented
971#396—611no—
972#396—611no—
973#396—611no—
974#396C2×D6111yescharacteristic, complemented
975#394—611no—
976#394—611no—
977#394—611no—
978#394—611no—
979#394—611no—
980#394—611no—
981#394—611no—
982#394—611no—
983#394—611no—
984#394—611no—
985#394C2×D6111yescharacteristic, complemented
986#393—611no—
987#393—611no—
988#393—611no—
989#393—611no—
990#392—611no—
991#392—611no—
992#392—611no—
993#392—611no—
994#392—611no—
995#392—611no—
996#392—611no—
997#392—611no—
998#392C2×D6111yescharacteristic
999#390—611no—
1000#390—611no—
1001#390—611no—
1002#390C2×D6111yescharacteristic, complemented
1003#388—611no—
1004#388—611no—
1005#388—611no—
1006#388—611no—
1007#388—611no—
1008#388—611no—
1009#388—611no—
1010#388—611no—
1011#388—611no—
1012#388C2×D6111yescharacteristic, complemented
1013#387—611no—
1014#387—611no—
1015#386—611no—
1016#386—611no—
1017#386—611no—
1018#386—611no—
1019#386—611no—
1020#386—611no—
1021#386—611no—
1022#386—611no—
1023#386—611no—
1024#386—611no—
1025#386—611no—
1026#386—611no—
1027#386—611no—
1028#386—611no—
1029#386—611no—
1030#386—611no—
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386—611no—
1035#386—611no—
1036#386—611no—
1037#386—611no—
1038#386—611no—
1039#386—611no—
1040#386—611no—
1041#386—611no—
1042#386—611no—
1043#386—611no—
1044#386—611no—
1045#386—611no—
1046#386—611no—
1047#386—611no—
1048#386C2×D6111yescharacteristic
1049#386C2×D6111yescharacteristic
1050#386C2×D6111yescharacteristic, complemented
1051#386C2×D6111yescharacteristic, complemented
1052#385—611no—
1053#385—611no—
1054#385—611no—
1055#385—611no—
1056#385—611no—
1057#385—611no—
1058#385—611no—
1059#385—611no—
1060#385C2×D6111yescharacteristic, complemented
1061#383C2×D6111yescharacteristic, complemented
1062#381—611no—
1063#381—611no—
1064#381—611no—
1065#381—611no—
1066#381C2×D6111yescharacteristic, complemented
1067#380—611no—
1068#380—611no—
1069#380—611no—
1070#380—611no—
1071#379—611no—
1072#379—611no—
1073#379—611no—
1074#379—611no—
1075#379—611no—
1076C4×C22⋊C4—611no—
1077C2×#95—611no—
1078C2×#95—611no—
1079C61#3677611yescharacteristic, complemented, Sylow
1080C25—611no—
1081C25—611no—
1082C25—611no—
1083C22×Q8—611no—
1084C22×D4—611no—
1085C22×D4—611no—
1086C22×D4—611no—
1087C22×D4—611no—
1088C22×D4—611no—
1089C22×D4—611no—
1090C22×D4—611no—
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—611no—
1095C22×D4—611no—
1096C22×D4—611no—
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—611no—
1100C22×D4—1224no—
1101C22×D4—1224no—
1102C22×D4—2442no—
1103C22×D4—2442no—
1104C22×D4—2442no—
1105C22×D4—2442no—
1106C22×D4C22×D6111yescharacteristic
1107C22×D4C22×D6111yescharacteristic
1108C22×D4C22×D6111yescharacteristic
1109C23×C4—611no—
1110C23×C4—611no—
1111C23×C4—611no—
1112C23×C4—611no—
1113C23×C4—611no—
1114C23×C4—611no—
1115C23×C4—611no—
1116C23×C4—611no—
1117C23×C4—611no—
1118C23×C4—611no—
1119C23×C4—611no—
1120C23×C4—2442no—
1121C23×C4—2442no—
1122C23×C4—2442no—
1123C23×C4C22×D6111yescharacteristic
1124C23×C4C22×D6111yescharacteristic
1125#124—2442no—
1126#123—2442no—
1127#123—2442no—
1128C22⋊Q8—2442no—
1129C22⋊Q8—2442no—
1130#121—2442no—
1131#121—2442no—
1132#121—2442no—
1133#121—2442no—
1134#121—2442no—
1135#121—2442no—
1136#121—2442no—
1137#120—1224no—
1138#120—2442no—
1139#120—2442no—
1140#120—2442no—
1141#120—2442no—
1142#120—2442no—
1143#120—2442no—
1144C4×D4—2442no—
1145C2×C4⋊C4—611no—
1146C2×C4⋊C4—611no—
1147C2×C4⋊C4—611no—
1148C2×C4⋊C4—611no—
1149C2×C4⋊C4—611no—
1150C2×C4⋊C4—611no—
1151C2×C4⋊C4—611no—
1152C2×C4⋊C4—611no—
1153C2×C4⋊C4—611no—
1154C2×C4⋊C4—611no—
1155C2×C4⋊C4—611no—
1156C2×C4⋊C4—611no—
1157C2×C4⋊C4C22×D6111yescharacteristic
1158C2×C4⋊C4C22×D6111yescharacteristic
1159C2×C4⋊C4C22×D6111yescharacteristic
1160C2×C4⋊C4C22×D6111yescharacteristic
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—2442no—
1209C2×C22⋊C4—2442no—
1210C2×C22⋊C4—2442no—
1211C2×C22⋊C4—2442no—
1212C2×C22⋊C4C22×D6111yescharacteristic
1213C2×C22⋊C4C22×D6111yescharacteristic
1214C2×C22⋊C4C22×D6111yescharacteristic
1215C2×C22⋊C4C22×D6111yescharacteristic
1216C2×C22⋊C4C22×D6111yescharacteristic
1217C2×C22⋊C4C22×D6111yescharacteristic
1218C2×C22⋊C4C22×D6111yescharacteristic
1219C2×C22⋊C4C22×D6111yescharacteristic
1220C2×C22⋊C4C22×D6111yescharacteristic
1221C2×C22⋊C4C22×D6111yescharacteristic
1222C2×C22⋊C4C22×D6111yescharacteristic
1223C2×C22⋊C4C22×D6111yescharacteristic
1224C2×C22⋊C4C22×D6111yescharacteristic
1225C2×C42—611no—
1226C2×C42—611no—
1227C2×C42C22×D6111yescharacteristic
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#95—611no—
1234#95—611no—
1235#95—611no—
1236#95—611no—
1237#95—611no—
1238#95—611no—
1239#95—611no—
1240#95—611no—
1241#95—611no—
1242#95—611no—
1243#95—611no—
1244#95—611no—
1245#95—611no—
1246#95—611no—
1247#95—611no—
1248#95—611no—
1249#95—611no—
1250#95—611no—
1251#95—611no—
1252#95—611no—
1253#95—611no—
1254#95—611no—
1255#95—611no—
1256#95C22×D6111yescharacteristic
1257#95C22×D6111yescharacteristic
1258#95C22×D6111yescharacteristic
1259#95C22×D6111yescharacteristic
1260#95C22×D6111yescharacteristic
1261#95C22×D6111yescharacteristic
1262#95C22×D6111yescharacteristic
1263#95C22×D6111yescharacteristic
1264#95C22×D6111yescharacteristic
1265#95C22×D6111yescharacteristic
1266#95C22×D6111yescharacteristic
1267#95C22×D6111yescharacteristic
1268C24—611no—
1269C24—611no—
1270C24—611no—
1271C24—614no—
1272C24—611no—
1273C24—611no—
1274C24—1222no—
1275C24—1222no—
1276C24—1222no—
1277C24—1222no—
1278C24—1222no—
1279C24—1222no—
1280C24—1222no—
1281C24—1222no—
1282C24—2441no—
1283C24—2441no—
1284C24—2441no—
1285C24—2441no—
1286C24—2441no—
1287C24—2441no—
1288C24—2441no—
1289C24—2441no—
1290C24—2441no—
1291C24—2441no—
1292C24—2441no—
1293C24—2441no—
1294C24C23×D6111yescharacteristic
1295C24C23×D6111yescharacteristic
1296C24C23×D6111yescharacteristic
1297C2×Q8—2441no—
1298C2×Q8—2441no—
1299C2×Q8—2441no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—1222no—
1310C2×D4—1222no—
1311C2×D4—1222no—
1312C2×D4—1222no—
1313C2×D4—1222no—
1314C2×D4—1222no—
1315C2×D4—1222no—
1316C2×D4—1222no—
1317C2×D4—1222no—
1318C2×D4—1222no—
1319C2×D4—1222no—
1320C2×D4—1222no—
1321C2×D4—1222no—
1322C2×D4—1222no—
1323C2×D4—1222no—
1324C2×D4—1222no—
1325C2×D4—1222no—
1326C2×D4—1222no—
1327C2×D4—1222no—
1328C2×D4—1222no—
1329C2×D4—1222no—
1330C2×D4—1222no—
1331C2×D4—1222no—
1332C2×D4—1222no—
1333C2×D4—2441no—
1334C2×D4—2441no—
1335C2×D4—2441no—
1336C2×D4—2441no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4—2441no—
1340C2×D4—2441no—
1341C2×D4—2441no—
1342C2×D4—24416no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—2441no—
1348C2×D4—2441no—
1349C2×D4—2441no—
1350C2×D4—2441no—
1351C2×D4—2441no—
1352C2×D4—2441no—
1353C2×D4—2441no—
1354C2×D4—2441no—
1355C2×D4—2441no—
1356C2×D4—2441no—
1357C2×D4—2441no—
1358C2×D4—24416no—
1359C22×C4—22no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—611no—
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—24416no—
1405C22×C4—2441no—
1406C22×C4—2441no—
1407C22×C4—2441no—
1408C22×C4—2441no—
1409C22×C4—2441no—
1410C22×C4C23×D6111yescharacteristic
1411C22×C4C23×D6111yescharacteristic
1412C22×C4C23×D6111yescharacteristic
1413C22×C4C23×D6111yescharacteristic
1414C22×C4C23×D6111yescharacteristic
1415C22×C4C23×D6111yescharacteristic
1416C22×C4C23×D6111yescharacteristic
1417C22×C4C23×D6111yescharacteristic
1418C22×C4C23×D6111yescharacteristic
1419C22×C4C23×D6111yescharacteristic
1420C22×C4C23×D6111yescharacteristic
1421C22×C4C23×D6111yescharacteristic
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—1222no—
1427C4⋊C4—1222no—
1428C4⋊C4—2441no—
1429C4⋊C4—2441no—
1430C4⋊C4—2441no—
1431C4⋊C4—2441no—
1432C4⋊C4—2441no—
1433C4⋊C4—2441no—
1434C4⋊C4—2441no—
1435C4⋊C4—2441no—
1436C4⋊C4—2441no—
1437C4⋊C4—2441no—
1438C22⋊C4—22no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—1222no—
1452C22⋊C4—1222no—
1453C22⋊C4—1222no—
1454C22⋊C4—1222no—
1455C22⋊C4—1222no—
1456C22⋊C4—1222no—
1457C22⋊C4—1222no—
1458C22⋊C4—1222no—
1459C22⋊C4—1222no—
1460C22⋊C4—1222no—
1461C22⋊C4—1222no—
1462C22⋊C4—1222no—
1463C22⋊C4—1222no—
1464C22⋊C4—2441no—
1465C22⋊C4—2441no—
1466C22⋊C4—2441no—
1467C22⋊C4—2441no—
1468C22⋊C4—2441no—
1469C22⋊C4—2441no—
1470C22⋊C4—2441no—
1471C22⋊C4—2441no—
1472C22⋊C4—2441no—
1473C22⋊C4—2441no—
1474C22⋊C4—2441no—
1475C22⋊C4—2441no—
1476C22⋊C4—2441no—
1477C22⋊C4—2441no—
1478C22⋊C4—2441no—
1479C22⋊C4—2441no—
1480C22⋊C4—2441no—
1481C22⋊C4—2441no—
1482C22⋊C4—2441no—
1483C22⋊C4—2441no—
1484C22⋊C4—2441no—
1485C22⋊C4—2441no—
1486C22⋊C4—2441no—
1487C22⋊C4—2441no—
1488C22⋊C4—2441no—
1489C22⋊C4—2441no—
1490C22⋊C4—2441no—
1491C22⋊C4—2441no—
1492C22⋊C4—2441no—
1493C22⋊C4—2441no—
1494C22⋊C4—2441no—
1495C22⋊C4—2441no—
1496C22⋊C4—2441no—
1497C22⋊C4—2441no—
1498C42—41no—
1499C42—2441no—
1500C42—2441no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—612no—
1521C23—612no—
1522C23—612no—
1523C23—612no—
1524C23—612no—
1525C23—1228no—
1526C23—1228no—
1527C23—1221no—
1528C23—1221no—
1529C23—1221no—
1530C23—1221no—
1531C23—1221no—
1532C23—1221no—
1533C23—1221no—
1534C23—1221no—
1535C23—1221no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—1221no—
1543C23—1221no—
1544C23—1221no—
1545C23—1221no—
1546C23—1221no—
1547C23—1221no—
1548C23—1221no—
1549C23—1221no—
1550C23—1221no—
1551C23—1221no—
1552C23—1221no—
1553C23—1221no—
1554C23—1221no—
1555C23—1221no—
1556C23—1221no—
1557C23—4882no—
1558C23—4882no—
1559C23—4882no—
1560C23—4882no—
1561C23—4882no—
1562C23—4882no—
1563C23—4882no—
1564C23—4882no—
1565C23—4882no—
1566C23—4882no—
1567C23—2444no—
1568C23—2444no—
1569C23—2444no—
1570C23—2444no—
1571C23—2444no—
1572C23—2444no—
1573C23—2444no—
1574C23—2444no—
1575C23—2444no—
1576C23#41×D6112yes—
1577C23#1451982312yes—
1578C23C24×D6111yescharacteristic
1579Q8—4882no—
1580D4—44no—
1581D4—82no—
1582D4—82no—
1583D4—4882no—
1584D4—4882no—
1585D4—4882no—
1586D4—4882no—
1587D4—4882no—
1588D4—4882no—
1589D4—4882no—
1590D4—4882no—
1591D4—2444no—
1592D4—2444no—
1593D4—2444no—
1594D4—2444no—
1595D4—2444no—
1596D4—2444no—
1597D4—2444no—
1598D4—2444no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—44no—
1636C2×C4—44no—
1637C2×C4—612no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—4882no—
1671C2×C4—4882no—
1672C2×C4—4882no—
1673C2×C4—4882no—
1674C2×C4—4882no—
1675C2×C4—2444no—
1676C2×C4—2444no—
1677C2×C4—2444no—
1678C2×C4—2444no—
1679C2×C4—2444no—
1680C2×C4—2444no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—614no—
1703C22—1222no—
1704C22—1222no—
1705C22—1222no—
1706C22—1222no—
1707C22—1222no—
1708C22—1222no—
1709C22—1222no—
1710C22—1222no—
1711C22—1222no—
1712C22—1222no—
1713C22—1222no—
1714C22—1222no—
1715C22—4888no—
1716C22—4888no—
1717C22—24416no—
1718C22—2441no—
1719C22—2441no—
1720C22—2441no—
1721C22—2441no—
1722C22—2441no—
1723C22—2441no—
1724C22—2441no—
1725C22—2441no—
1726C22—2441no—
1727C22—2441no—
1728C22—2441no—
1729C22—2441no—
1730C22—2441no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22—2441no—
1738C22—2441no—
1739C22—2441no—
1740C22C2×#41×D6111yescharacteristic
1741C22H(5,𝔽2)×D6111yescharacteristic
1742C22H(5,𝔽2)×D6111yescharacteristic
1743C22H(5,𝔽2)×D6111yescharacteristic
1744C22H(5,𝔽2)×D6111yescharacteristic
1745C22C2×#1451982311yescharacteristic
1746C22#1684059811yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—1222no—
1760C4—2441no—
1761C4—2441no—
1762C4—2441no—
1763C4—2441no—
1764C4—2441no—
1765C4—2441no—
1766C4—2441no—
1767C4—2441no—
1768C4—2441no—
1769C4—2441no—
1770C2—42no—
1771C2—42no—
1772C2—81no—
1773C2—1224no—
1774C2—4881no—
1775C2—4881no—
1776C2—2442no—
1777C2—2442no—
1778C2#538×D6111yescharacteristic
1779C2#2145950311yescharacteristic
1780C2#2145965011yescharacteristic
1781C2#2145997211yescharacteristic
1782C2#2145999611yescharacteristic
1783C2#2146000211yescharacteristic
1784C2#2146005111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2749C2
hypercenter#2749D61
hypocenterC61#36776
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2749

Complements

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

NH ≅ G/Ntype
1. #21454114C2semidirect
2. #21454100C2semidirect
3. #21453434C2semidirect
4. #21453431C2semidirect
5. #21453195C2semidirect
6. #21453057C2semidirect
7. #21453039C2semidirect
8. #21452955C2semidirect
9. #21452464C2semidirect
10. #21452377C2semidirect
11. #21452362C2semidirect
12. #21452253C2semidirect
13. #21452248C2semidirect
14. #21452196C2semidirect
15. #21452141C2semidirect
16. #21452122C2semidirect
17. #21452021C2semidirect
18. #21451773C2semidirect
19. #21451746C2semidirect
20. #21450386C2semidirect
21. #21449943C2semidirect
22. #21449564C2semidirect
23. #21449481C2semidirect
24. #21449356C2semidirect
25. #21449196C2semidirect
26. #21449186C2semidirect
27. #21449131C2semidirect
28. #21448478C2semidirect
29. #21448396C2semidirect
30. #386×D61C2semidirect
31. C61×#2749C2semidirect
34. C23×C4×D61C22semidirect
35. C2×#14519763C22semidirect
36. C2×#14519762C22semidirect
37. C2×#14519762C22semidirect
38. C2×#14519757C22semidirect
39. C2×#14519755C22semidirect
42. C2×#14519750C22semidirect
43. C2×#14519750C22semidirect
44. C2×#14519749C22semidirect
45. C2×#14519749C22semidirect
46. C2×#14519748C22semidirect
52. C2×#14519745C22semidirect
53. C2×#14519745C22semidirect
54. C2×#14519737C22semidirect
58. C2×C22⋊C4×D61C22semidirect
59. C61⋊#401C22semidirect
60. C61⋊#401C22semidirect
61. #16839704C22semidirect
62. #16839704C22semidirect
63. #16839703C22semidirect
64. #16839703C22semidirect
65. #16839703C22semidirect
66. #16839702C22semidirect
67. #16839698C22semidirect
68. #16839691C22semidirect
69. #16839691C22semidirect
70. #16839691C22semidirect
71. #16839691C22semidirect
72. #16839689C22semidirect
73. #16839688C22semidirect
74. #16839688C22semidirect
75. #16839687C22semidirect
76. #16839686C22semidirect
77. #16839685C22semidirect
78. #16839684C22semidirect
79. #16839680C22semidirect
80. #16839680C22semidirect
81. #16839679C22semidirect
83. #16839678C22semidirect
84. #16839678C22semidirect
85. #16839678C22semidirect
86. #16839677C22semidirect
87. #16839677C22semidirect
89. #16839675C22semidirect
90. #16839675C22semidirect
91. #16839674C22semidirect
92. #16839674C22semidirect
97. #16839671C22semidirect
98. #16839671C22semidirect
99. #16839671C22semidirect
101. #16839664C22semidirect
102. #16839663C22semidirect
103. #16839662C22semidirect
104. #16839656C22semidirect
105. #16839656C22semidirect
106. #16839654C22semidirect
107. #16839653C22semidirect
108. #16839653C22semidirect
109. #16839652C22semidirect
110. #16839652C22semidirect
111. #16839651C22semidirect
112. #16839650C22semidirect
113. #16839649C22semidirect
114. #16839644C22semidirect
116. #16839642C22semidirect
118. #16839641C22semidirect
119. #16839641C22semidirect
120. #16839641C22semidirect
129. #16839640C22semidirect
130. #16839640C22semidirect
131. #16839640C22semidirect
132. #16839640C22semidirect
133. #16839640C22semidirect
134. #16839640C22semidirect
135. #16839640C22semidirect
136. #16839640C22semidirect
137. #16839639C22semidirect
138. #16839639C22semidirect
139. #16839639C22semidirect
140. #16839639C22semidirect
141. #16839639C22semidirect
144. #16839638C22semidirect
145. #16839638C22semidirect
146. #16839638C22semidirect
147. #16839638C22semidirect
148. #16839636C22semidirect
149. #16839636C22semidirect
150. #16839635C22semidirect
151. #16839634C22semidirect
152. #16839633C22semidirect
153. #16839633C22semidirect
154. #16839633C22semidirect
155. #16839633C22semidirect
156. #16839625C22semidirect
157. #16839624C22semidirect
158. #16839624C22semidirect
159. #16839623C22semidirect
160. #16839621C22semidirect
161. #16839621C22semidirect
162. #16839620C22semidirect
163. #16839619C22semidirect
165. #16839617C22semidirect
166. #16839617C22semidirect
167. #16839617C22semidirect
168. #16839617C22semidirect
169. C4×#11758198C22semidirect
170. #95×D61C22semidirect
171. #95×D61C22semidirect
172. C61×#400C22semidirect
173. C61×#397C22semidirect
174. C61×#397C22semidirect
175. C61×#396C22semidirect
176. C61×#394C22semidirect
178. C61×#390C22semidirect
179. C61×#388C22semidirect
182. C61×#386C22semidirect
183. C61×#386C22semidirect
184. C61×#385C22semidirect
185. C61×#383C22semidirect
186. C61×#381C22semidirect
885. #2749D61semidirect
959. #400C2×D61semidirect
969. #397C2×D61semidirect
970. #397C2×D61semidirect
974. #396C2×D61semidirect
985. #394C2×D61semidirect
1002. #390C2×D61semidirect
1012. #388C2×D61semidirect
1050. #386C2×D61semidirect
1051. #386C2×D61semidirect
1060. #385C2×D61semidirect
1061. #383C2×D61semidirect
1066. #381C2×D61semidirect
1079. C61#36776semidirect

Maximal subgroups

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

subgroupindex
#214541142
#214541002
#214534342
#214534312
#214531952
#214530572
#214530392
#214529552
#214524642
#214523772
#214523622
#214522532
#214522482
#214521962
#214521412
#214521222
#214520212
#214517732
#214517462
#214503862
#214499432
#214495642
#214494812
#214493562
#214491962
#214491862
#214491312
#214484782
#214483962
#386×D612
C61×#27492
#3677661