Finite Group Databasebeta

← #29887888

Subgroups — #29887888

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#21454105C211yesmaximal, characteristic, complemented
2#21454102C211yesmaximal, characteristic, complemented
3#21453677C211yesmaximal, characteristic, complemented
4#21453479C211yesmaximal, characteristic, complemented
5#21453458C211yesmaximal, characteristic, complemented
6#21453444C211yesmaximal, characteristic, complemented
7#21453444C211yesmaximal, characteristic, complemented
8#21453137C211yesmaximal, characteristic, complemented
9#21453102C211yesmaximal, characteristic, complemented
10#21453039C211yesmaximal, characteristic, complemented
11#21452928C211yesmaximal, characteristic, complemented
12#21452820C211yesmaximal, characteristic, complemented
13#21452613C211yesmaximal, characteristic, complemented
14#21452461C211yesmaximal, characteristic, complemented
15#21452449C211yesmaximal, characteristic, complemented
16#21452362C211yesmaximal, characteristic, complemented
17#21452262C211yesmaximal, characteristic, complemented
18#21452118C211yesmaximal, characteristic, complemented
19#21451536C211yesmaximal, characteristic, complemented
20#21451536C211yesmaximal, characteristic, complemented
21#21450141C211yesmaximal, characteristic, complemented
22#21450070C211yesmaximal, characteristic, complemented
23#21449945C211yesmaximal, characteristic, complemented
24#21449370C211yesmaximal, characteristic, complemented
25#21449353C211yesmaximal, characteristic, complemented
26#21449300C211yesmaximal, characteristic, complemented
27#21449283C211yesmaximal, characteristic, complemented
28#21448479C211yesmaximal, characteristic, complemented
29#21448476C211yesmaximal, characteristic, complemented
30C2×#16839640C211yesmaximal, characteristic, complemented
31C61×#2493C211yesmaximal, characteristic, complemented
32C23×D244C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C2×#14519772C2211yescharacteristic, complemented
35C2×#14519765C2211yescharacteristic, complemented
36C2×#14519762C2211yescharacteristic, complemented
37C2×#14519760C2211yescharacteristic
38C2×#14519760C2211yescharacteristic
39C2×#14519755C2211yescharacteristic, complemented
40C2×#14519755C2211yescharacteristic, complemented
41C2×#14519754C2211yescharacteristic
42C2×#14519752C2211yescharacteristic, complemented
43C2×#14519752C2211yescharacteristic, complemented
44C2×#14519752C2211yescharacteristic, complemented
45C2×#14519751C2211yescharacteristic
46C2×#14519747C2211yescharacteristic
47C2×#14519747C2211yescharacteristic
48C2×#14519747C2211yescharacteristic
49C2×#14519747C2211yescharacteristic
50C2×C4×C22⋊D61C2211yescharacteristic
51C2×#14519737C2211yescharacteristic
52C22×#11758198C2211yescharacteristic
53C22×#11758198C2211yescharacteristic
54C22×#11758198C2211yescharacteristic
55#16839704C2211yescharacteristic, complemented
56#16839703C2211yescharacteristic, complemented
57#16839703C2211yescharacteristic, complemented
58#16839697C2211yescharacteristic, complemented
59#16839696C2211yescharacteristic, complemented
60#16839696C2211yescharacteristic, complemented
61#16839691C2211yescharacteristic, complemented
62#16839691C2211yescharacteristic, complemented
63#16839691C2211yescharacteristic, complemented
64#16839691C2211yescharacteristic, complemented
65#16839691C2211yescharacteristic, complemented
66#16839689C2211yescharacteristic, complemented
67#16839689C2211yescharacteristic, complemented
68#16839689C2211yescharacteristic, complemented
69#16839688C2211yescharacteristic, complemented
70#16839686C2211yescharacteristic, complemented
71#16839684C2211yescharacteristic, complemented
72#16839684C2211yescharacteristic, complemented
73#16839680C2211yescharacteristic
74#16839680C2211yescharacteristic
75#16839680C2211yescharacteristic
76#16839680C2211yescharacteristic
77#16839680C2211yescharacteristic
78#16839680C2211yescharacteristic
79#16839680C2211yescharacteristic
80#16839680C2211yescharacteristic
81#16839680C2211yescharacteristic, complemented
82#16839680C2211yescharacteristic, complemented
83#16839680C2211yescharacteristic, complemented
84#16839680C2211yescharacteristic, complemented
85#16839680C2211yescharacteristic, complemented
86#16839679C2211yescharacteristic, complemented
87#16839679C2211yescharacteristic, complemented
88#16839675C2211yescharacteristic, complemented
89#16839675C2211yescharacteristic, complemented
90#16839672C2211yescharacteristic
91#16839672C2211yescharacteristic
92#16839672C2211yescharacteristic
93#16839672C2211yescharacteristic
94#16839672C2211yescharacteristic
95#16839672C2211yescharacteristic
96#16839672C2211yescharacteristic
97#16839672C2211yescharacteristic
98#16839672C2211yescharacteristic, complemented
99#16839666C2211yescharacteristic, complemented
100#16839664C2211yescharacteristic, complemented
101#16839664C2211yescharacteristic, complemented
102#16839664C2211yescharacteristic, complemented
103#16839663C2211yescharacteristic, complemented
104#16839663C2211yescharacteristic, complemented
105#16839663C2211yescharacteristic, complemented
106#16839659C2211yescharacteristic, complemented
107#16839654C2211yescharacteristic, complemented
108#16839654C2211yescharacteristic, complemented
109#16839654C2211yescharacteristic, complemented
110#16839654C2211yescharacteristic, complemented
111#16839654C2211yescharacteristic, complemented
112#16839653C2211yescharacteristic, complemented
113#16839653C2211yescharacteristic, complemented
114#16839653C2211yescharacteristic, complemented
115#16839653C2211yescharacteristic, complemented
116#16839652C2211yescharacteristic, complemented
117#16839652C2211yescharacteristic, complemented
118#16839652C2211yescharacteristic, complemented
119#16839652C2211yescharacteristic, complemented
120#16839651C2211yescharacteristic, complemented
121#16839651C2211yescharacteristic, complemented
122#16839651C2211yescharacteristic, complemented
123#16839651C2211yescharacteristic, complemented
124#16839651C2211yescharacteristic, complemented
125#16839651C2211yescharacteristic, complemented
126#16839645C2211yescharacteristic, complemented
127#16839644C2211yescharacteristic, complemented
128#16839641C2211yescharacteristic
129#16839640C2211yescharacteristic
130#16839640C2211yescharacteristic
131#16839640C2211yescharacteristic
132#16839640C2211yescharacteristic
133#16839640C2211yescharacteristic
134#16839640C2211yescharacteristic
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic
137#16839640C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839640C2211yescharacteristic, complemented
140#16839640C2211yescharacteristic, complemented
141#16839640C2211yescharacteristic, complemented
142#16839640C2211yescharacteristic, complemented
143#16839640C2211yescharacteristic, complemented
144#16839640C2211yescharacteristic, complemented
145#16839640C2211yescharacteristic, complemented
146#16839640C2211yescharacteristic, complemented
147#16839640C2211yescharacteristic, complemented
148#16839639C2211yescharacteristic
149#16839639C2211yescharacteristic
150#16839639C2211yescharacteristic
151#16839637C2211yescharacteristic
152#16839636C2211yescharacteristic, complemented
153#16839636C2211yescharacteristic, complemented
154#16839636C2211yescharacteristic, complemented
155#16839635C2211yescharacteristic
156#16839633C2211yescharacteristic, complemented
157#16839633C2211yescharacteristic, complemented
158#16839626C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic, complemented
160#16839621C2211yescharacteristic, complemented
161#16839621C2211yescharacteristic, complemented
162#16839621C2211yescharacteristic, complemented
163#16839620C2211yescharacteristic
164#16839619C2211yescharacteristic, complemented
165#16839619C2211yescharacteristic, complemented
166#16839617C2211yescharacteristic
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic
169#16839617C2211yescharacteristic
170C22⋊C4×Dic61C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C61×#401C2211yescharacteristic, complemented
173C61×#400C2211yescharacteristic, complemented
174C61×#400C2211yescharacteristic, complemented
175C61×#400C2211yescharacteristic, complemented
176C61×#387C2211yescharacteristic, complemented
177C61×#387C2211yescharacteristic, complemented
178C61×#387C2211yescharacteristic, complemented
179C61×#385C2211yescharacteristic
180C61×#385C2211yescharacteristic
181C61×#383C2211yescharacteristic, complemented
182C61×#381C2211yescharacteristic
183C61×#381C2211yescharacteristic
184C61×#380C2211yescharacteristic
185C4×C22⋊C4×C61C2211yescharacteristic
186C2×#95×C61C2211yescharacteristic
187C24×D61C2311yescharacteristic
188C24×D61C2311yescharacteristic
189C22×Dic122C2311yescharacteristic
190C22×D244—24no—
191C22×D244—42no—
192C22×D244—42no—
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×D244C2311yescharacteristic
203C22×D244C2311yescharacteristic
204C22×D244C2311yescharacteristic
205C22×D244C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C22×C4×D61—42no—
211C22×C4×D61—42no—
212C22×C4×D61—42no—
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219#14519772—42no—
220#14519765—42no—
221#14519762—42no—
222#14519760—42no—
223#14519760—42no—
224#14519755—42no—
225#14519755—42no—
226#14519754—42no—
227#14519752—42no—
228#14519752—42no—
229#14519752—42no—
230#14519751—42no—
231#14519747—24no—
232#14519747—24no—
233#14519747—42no—
234#14519747—42no—
235C4×C22⋊D61—42no—
236#14519737—42no—
237C2×C4⋊Dic61C2311yescharacteristic
238C2×C4⋊Dic61C2311yescharacteristic
239C2×C4⋊Dic61C2311yescharacteristic
240C2×C4⋊Dic61C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×#11758198—42no—
256C2×#11758198—42no—
257C2×#11758198—42no—
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×#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
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×C4×Dic61C2311yescharacteristic
311C2×C4×Dic61C2311yescharacteristic
312C2×C4×Dic61C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
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
334C23×C4×C61C2311yescharacteristic
335C23×C4×C61C2311yescharacteristic
336C23×C4×C61C2311yescharacteristic
337C2×C4⋊C4×C61C2311yescharacteristic
338C2×C4⋊C4×C61C2311yescharacteristic
339C2×C4⋊C4×C61C2311yescharacteristic
340C2×C4⋊C4×C61C2311yescharacteristic
341C2×C4⋊C4×C61C2311yescharacteristic
342C2×C4⋊C4×C61C2311yescharacteristic
343C2×C22⋊C4×C61C2311yescharacteristic
344C2×C22⋊C4×C61C2311yescharacteristic
345C2×C22⋊C4×C61C2311yescharacteristic
346C2×C22⋊C4×C61C2311yescharacteristic
347C2×C42×C61C2311yescharacteristic
348C2×C42×C61C2311yescharacteristic
349#95×C61C2311yescharacteristic
350#95×C61C2311yescharacteristic
351#95×C61C2311yescharacteristic
352#95×C61C2311yescharacteristic
353#95×C61C2311yescharacteristic
354#95×C61C2311yescharacteristic
355#95×C61C2311yescharacteristic
356#95×C61C2311yescharacteristic
357#95×C61C2311yescharacteristic
358#95×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369C24×C61C2411yescharacteristic
370C23×D61—22no—
371C23×D61—22no—
372C23×D61—22no—
373C23×D61—22no—
374C23×D61—22no—
375C23×D61—41no—
376C23×D61—41no—
377C23×D61—41no—
378C23×D61—41no—
379C23×D61—41no—
380C23×D61—41no—
381C23×D61—41no—
382C23×D61—41no—
383C23×D61#4114yes—
384C23×D61C2411yescharacteristic
385C23×D61C2411yescharacteristic
386C23×D61C2411yescharacteristic
387C23×D61C2411yescharacteristic
388C23×D61C2411yescharacteristic
389C23×D61C2411yescharacteristic
390C22×C4×C61—22no—
391C22×C4×C61—22no—
392C22×C4×C61—22no—
393C22×C4×C61—22no—
394C22×C4×C61—22no—
395C22×C4×C61—22no—
396C22×C4×C61—41no—
397C22×C4×C61—41no—
398C22×C4×C61—41no—
399C22×C4×C61C2411yescharacteristic
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
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
413C2×C22⋊D61—22no—
414C2×C22⋊D61—22no—
415C2×C22⋊D61—22no—
416C2×C22⋊D61—22no—
417C2×C22⋊D61—22no—
418C2×C22⋊D61—22no—
419C22×Dic61—22no—
420C22×Dic61—22no—
421C22×Dic61—22no—
422C22×Dic61—41no—
423C22×Dic61—41no—
424C22×Dic61—41no—
425C22×Dic61C2411yescharacteristic
426C22×Dic61C2411yescharacteristic
427C22×Dic61C2411yescharacteristic
428C22×Dic61C2411yescharacteristic
429C22×Dic61C2411yescharacteristic
430C22×Dic61C2411yescharacteristic
431C22×Dic61C2411yescharacteristic
432C22×Dic61C2411yescharacteristic
433C22×Dic61C2411yescharacteristic
434C22×Dic61C2411yescharacteristic
435C2×D244—22no—
436C2×D244—22no—
437C2×D244—22no—
438C2×D244—22no—
439C2×D244—22no—
440C2×D244—22no—
441C2×D244—22no—
442C2×D244—22no—
443C2×D244—22no—
444C2×D244—41no—
445C2×D244—41no—
446C2×D244—41no—
447C2×D244—41no—
448C2×D244—41no—
449C2×D244—41no—
450C2×D244—41no—
451C2×D244—41no—
452C2×D244—416no—
453C2×D244—41no—
454C2×D244—41no—
455C2×D244—41no—
456C2×D244—41no—
457C2×D244—41no—
458C2×D244—41no—
459C2×D244—41no—
460C2×D244—41no—
461C2×D244—41no—
462C2×D244—41no—
463C2×D244—41no—
464C2×D244—41no—
465C2×D244—41no—
466C2×D244—41no—
467C2×D244—41no—
468C2×D244—41no—
469C2×D244—41no—
470C2×D244—41no—
471C2×D244—41no—
472C2×D244—41no—
473C2×D244—41no—
474C2×D244—41no—
475C2×C4×D61—22no—
476C2×C4×D61—22no—
477C2×C4×D61—22no—
478C2×C4×D61—22no—
479C2×C4×D61—41no—
480C2×C4×D61—41no—
481C2×C4×D61—41no—
482C2×C4×D61—41no—
483C2×C4×D61—41no—
484C2×C4×D61—41no—
485C2×C4×D61—41no—
486C2×C4×D61—41no—
487C2×C4×D61—416no—
488C2×C4×D61—41no—
489C2×C4×D61—41no—
490C2×C4×D61—41no—
491C2×C4×D61—41no—
492C2×C4×D61—41no—
493C2×C4×D61—41no—
494C2×Dic122—22no—
495C2×Dic122—41no—
496C2×Dic122—41no—
497C4⋊C4×C61—22no—
498C4⋊C4×C61—22no—
499C4⋊C4×C61—41no—
500C4⋊C4×C61—41no—
501C4⋊C4×C61—41no—
502C4⋊C4×C61—41no—
503C22⋊C4×C61—22no—
504C22⋊C4×C61—22no—
505C22⋊C4×C61—22no—
506C22⋊C4×C61—22no—
507C42×C61—41no—
508C42×C61—41no—
509C22⋊Dic61—22no—
510C22⋊Dic61—22no—
511#11758198—22no—
512#11758198—22no—
513#11758198—22no—
514#11758198—22no—
515#11758198—22no—
516#11758198—22no—
517#11758198—22no—
518#11758198—22no—
519#11758198—22no—
520#11758198—22no—
521#11758198—41no—
522#11758198—41no—
523#11758198—41no—
524#11758198—41no—
525#11758198—41no—
526#11758198—41no—
527#11758198—41no—
528#11758198—41no—
529#11758198—41no—
530#11758198—41no—
531#11758198—41no—
532#11758198—41no—
533#11758198—41no—
534#11758198—41no—
535#11758198—41no—
536#11758198—41no—
537#11758198—41no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198—41no—
543#11758198—41no—
544#11758198—41no—
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—
563C4⋊Dic61—41no—
564C4⋊Dic61—41no—
565C4⋊Dic61—41no—
566C4⋊Dic61—41no—
567#11758196—22no—
568#11758196—22no—
569#11758196—41no—
570#11758196—41no—
571#11758196—41no—
572#11758196—41no—
573#11758196—41no—
574#11758196—41no—
575#11758196—41no—
576#11758196—41no—
577#11758196—41no—
578#11758196—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×C61C2×#4112yes—
588C23×C61H(5,𝔽2)12yes—
589C23×C61H(5,𝔽2)12yes—
590C23×C61C2511yescharacteristic
591C22×D61—28no—
592C22×D61—21no—
593C22×D61—21no—
594C22×D61—21no—
595C22×D61—21no—
596C22×D61—21no—
597C22×D61—21no—
598C22×D61—21no—
599C22×D61—21no—
600C22×D61—21no—
601C22×D61—21no—
602C22×D61—21no—
603C22×D61—21no—
604C22×D61—21no—
605C22×D61—21no—
606C22×D61—21no—
607C22×D61—21no—
608C22×D61—21no—
609C22×D61—21no—
610C22×D61—21no—
611C22×D61—21no—
612C22×D61—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—44no—
633C22×D61—44no—
634C22×D61—44no—
635C22×D61—44no—
636C22×D61—44no—
637C22×D61—44no—
638C22×D61—44no—
639C22×D61—44no—
640C22×D61—44no—
641C22×D61—82no—
642C22×D61—82no—
643C22×D61—82no—
644C22×D61—82no—
645C22×D61C2×#4112yes—
646C22×D61C2×#4112yes—
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—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—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—44no—
689C2×C4×C61—44no—
690C2×C4×C61—82no—
691C2×C4×C61H(5,𝔽2)12yes—
692C22⋊D61—44no—
693C22⋊D61—44no—
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—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—44no—
724C2×Dic61—82no—
725C2×Dic61H(5,𝔽2)12yes—
726D244—44no—
727D244—44no—
728D244—44no—
729D244—44no—
730D244—82no—
731D244—82no—
732D244—82no—
733D244—82no—
734D244—82no—
735D244—82no—
736D244—82no—
737D244—82no—
738D244—82no—
739C4×D61—44no—
740C4×D61—44no—
741C4×D61—44no—
742C4×D61—44no—
743C4×D61—82no—
744C4×D61—82no—
745Dic122—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#53814yes—
754C22×C61C22×#4111yescharacteristic
755C22×C61C2×H(5,𝔽2)11yescharacteristic
756C22×C61C2×H(5,𝔽2)11yescharacteristic
757C22×C61C2×H(5,𝔽2)11yescharacteristic
758C22×C61C2×H(5,𝔽2)11yescharacteristic
759C22×C61#58511yescharacteristic
760C22×C61#58511yescharacteristic
761C2×D61—22no—
762C2×D61—22no—
763C2×D61—22no—
764C2×D61—22no—
765C2×D61—22no—
766C2×D61—22no—
767C2×D61—416no—
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—
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—41no—
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—
817C4×C61—41no—
818C4×C61—41no—
819Dic61—22no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829#2848—611no—
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#2493D6111yescharacteristic, complemented
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×C61C2×#53811yescharacteristic
862C2×C61#350511yescharacteristic
863C2×C61#350511yescharacteristic
864C2×C61#353211yescharacteristic
865C2×C61#353311yescharacteristic
866C2×C61#354211yescharacteristic
867C2×C61#354211yescharacteristic
868D61—42no—
869D61—42no—
870D61—81no—
871D61—81no—
872D61—81no—
873D61—81no—
874C23×D4—611no—
875C24×C4—611no—
876C2×#126—611no—
877C2×#124—611no—
878C2×#123—611no—
879C2×#123—611no—
880C2×#123—611no—
881C2×C22⋊Q8—611no—
882C2×C22⋊Q8—611no—
883C2×C22⋊Q8—611no—
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#401C2×D6111yescharacteristic, complemented
898#400—611no—
899#400—611no—
900#400—611no—
901#400C2×D6111yescharacteristic, complemented
902#400C2×D6111yescharacteristic, complemented
903#400C2×D6111yescharacteristic, complemented
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#387C2×D6111yescharacteristic, complemented
975#387C2×D6111yescharacteristic, complemented
976#387C2×D6111yescharacteristic, complemented
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#385—611no—
1004#385—611no—
1005#385—611no—
1006#385—611no—
1007#385C2×D6111yescharacteristic
1008#385C2×D6111yescharacteristic
1009#383C2×D6111yescharacteristic, complemented
1010#382—611no—
1011#381—611no—
1012#381C2×D6111yescharacteristic
1013#381C2×D6111yescharacteristic
1014#380—611no—
1015#380—611no—
1016#380—611no—
1017#380—611no—
1018#380—611no—
1019#380—611no—
1020#380C2×D6111yescharacteristic
1021#379—611no—
1022#379—611no—
1023#379—611no—
1024#379—611no—
1025C4×C22⋊C4—611no—
1026C4×C22⋊C4C2×D6111yescharacteristic
1027C2×#95—611no—
1028C2×#95C2×D6111yescharacteristic
1029C61#3675811yescharacteristic, complemented, Sylow
1030C25—611no—
1031C25—611no—
1032C22×Q8—611no—
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—611no—
1052C23×C4—611no—
1053C23×C4—611no—
1054C23×C4—611no—
1055C23×C4—611no—
1056C23×C4—611no—
1057C23×C4—611no—
1058C23×C4—611no—
1059C23×C4—2442no—
1060C23×C4—2442no—
1061C23×C4—2442no—
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—2442no—
1071C22⋊Q8—2442no—
1072C22⋊Q8—2442no—
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⋊C4—611no—
1097C2×C4⋊C4—611no—
1098C2×C4⋊C4—611no—
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—611no—
1152C2×C22⋊C4—611no—
1153C2×C22⋊C4—611no—
1154C2×C22⋊C4—611no—
1155C2×C22⋊C4—611no—
1156C2×C22⋊C4—611no—
1157C2×C22⋊C4—611no—
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—2442no—
1160C2×C22⋊C4—2442no—
1161C2×C22⋊C4—2442no—
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×C42C22×D6111yescharacteristic
1171C2×C42C22×D6111yescharacteristic
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#95C22×D6111yescharacteristic
1193#95C22×D6111yescharacteristic
1194#95C22×D6111yescharacteristic
1195#95C22×D6111yescharacteristic
1196#95C22×D6111yescharacteristic
1197#95C22×D6111yescharacteristic
1198#95C22×D6111yescharacteristic
1199#95C22×D6111yescharacteristic
1200#95C22×D6111yescharacteristic
1201#95C22×D6111yescharacteristic
1202#95C22×D6111yescharacteristic
1203#95C22×D6111yescharacteristic
1204#95C22×D6111yescharacteristic
1205#95C22×D6111yescharacteristic
1206#95C22×D6111yescharacteristic
1207#95C22×D6111yescharacteristic
1208#95C22×D6111yescharacteristic
1209#95C22×D6111yescharacteristic
1210#95C22×D6111yescharacteristic
1211#95C22×D6111yescharacteristic
1212C24—611no—
1213C24—611no—
1214C24—614no—
1215C24—611no—
1216C24—611no—
1217C24—611no—
1218C24—611no—
1219C24—1222no—
1220C24—1222no—
1221C24—1222no—
1222C24—1222no—
1223C24—1222no—
1224C24—2441no—
1225C24—2441no—
1226C24—2441no—
1227C24—2441no—
1228C24—2441no—
1229C24—2441no—
1230C24—2441no—
1231C24—2441no—
1232C24C23×D6111yescharacteristic
1233C2×Q8—1222no—
1234C2×Q8—2441no—
1235C2×Q8—2441no—
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—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—611no—
1292C22×C4—611no—
1293C22×C4—611no—
1294C22×C4—611no—
1295C22×C4—611no—
1296C22×C4—611no—
1297C22×C4—611no—
1298C22×C4—611no—
1299C22×C4—611no—
1300C22×C4—611no—
1301C22×C4—1222no—
1302C22×C4—1222no—
1303C22×C4—1222no—
1304C22×C4—1222no—
1305C22×C4—1222no—
1306C22×C4—1222no—
1307C22×C4—1222no—
1308C22×C4—2441no—
1309C22×C4—2441no—
1310C22×C4—2441no—
1311C22×C4—2441no—
1312C22×C4—2441no—
1313C22×C4—2441no—
1314C22×C4—2441no—
1315C22×C4—2441no—
1316C22×C4—2441no—
1317C22×C4—2441no—
1318C22×C4—2441no—
1319C22×C4—2441no—
1320C22×C4—2441no—
1321C22×C4—2441no—
1322C22×C4—24416no—
1323C22×C4—2441no—
1324C22×C4—2441no—
1325C22×C4—2441no—
1326C22×C4C23×D6111yescharacteristic
1327C22×C4C23×D6111yescharacteristic
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—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—1222no—
1347C4⋊C4—1222no—
1348C4⋊C4—2441no—
1349C4⋊C4—2441no—
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—1222no—
1367C22⋊C4—1222no—
1368C22⋊C4—1222no—
1369C22⋊C4—1222no—
1370C22⋊C4—1222no—
1371C22⋊C4—1222no—
1372C22⋊C4—1222no—
1373C22⋊C4—1222no—
1374C22⋊C4—1222no—
1375C22⋊C4—1222no—
1376C22⋊C4—1222no—
1377C22⋊C4—1222no—
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—
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—41no—
1421C42—41no—
1422C42—2441no—
1423C42—2441no—
1424C42—2441no—
1425C42—2441no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—612no—
1431C23—612no—
1432C23—1221no—
1433C23—1221no—
1434C23—1221no—
1435C23—1221no—
1436C23—1221no—
1437C23—1221no—
1438C23—1221no—
1439C23—1221no—
1440C23—1221no—
1441C23—1221no—
1442C23—1221no—
1443C23—1221no—
1444C23—1228no—
1445C23—1221no—
1446C23—1221no—
1447C23—1221no—
1448C23—1221no—
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—4882no—
1474C23—4882no—
1475C23—4882no—
1476C23—4882no—
1477C23—2444no—
1478C23—2444no—
1479C23—2444no—
1480C23—2444no—
1481C23—2444no—
1482C23—2444no—
1483C23—2444no—
1484C23—2444no—
1485C23—2444no—
1486C23#41×D6112yes—
1487C23#1451982312yes—
1488C23#1451982312yes—
1489C23C24×D6111yescharacteristic
1490Q8—4882no—
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—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—82no—
1550C2×C4—612no—
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—4882no—
1581C2×C4—4882no—
1582C2×C4—4882no—
1583C2×C4—2444no—
1584C2×C4—2444no—
1585C2×C4—2444no—
1586C2×C4—2444no—
1587C2×C4—2444no—
1588C2×C4#1451982312yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—1222no—
1596C22—1222no—
1597C22—1222no—
1598C22—1222no—
1599C22—1222no—
1600C22—1222no—
1601C22—4888no—
1602C22—24416no—
1603C22—2441no—
1604C22—2441no—
1605C22—2441no—
1606C22—2441no—
1607C22—2441no—
1608C22—2441no—
1609C22—2441no—
1610C22—2441no—
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#1684035114yes—
1640C22C2×#41×D6111yescharacteristic
1641C22H(5,𝔽2)×D6111yescharacteristic
1642C22C2×#1451982311yescharacteristic
1643C22C2×#1451982311yescharacteristic
1644C22C2×#1451982311yescharacteristic
1645C22#1684059811yescharacteristic
1646C22#1684059911yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—1222no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4—2441no—
1670C4—2441no—
1671C2—24no—
1672C2—4881no—
1673C2—4881no—
1674C2—4881no—
1675C2—4881no—
1676C2—2442no—
1677C2—2442no—
1678C2C2×#1684035111yescharacteristic
1679C2#2145965111yescharacteristic
1680C2#2145965411yescharacteristic
1681C2#2145997511yescharacteristic
1682C2#2145998511yescharacteristic
1683C2#2146012811yescharacteristic
1684C2#2146012911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2493C2
hypercenter#2493D61
hypocenterC61#36758
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. #21454105C2semidirect
2. #21454102C2semidirect
3. #21453677C2semidirect
4. #21453479C2semidirect
5. #21453458C2semidirect
6. #21453444C2semidirect
7. #21453444C2semidirect
8. #21453137C2semidirect
9. #21453102C2semidirect
10. #21453039C2semidirect
11. #21452928C2semidirect
12. #21452820C2semidirect
13. #21452613C2semidirect
14. #21452461C2semidirect
15. #21452449C2semidirect
16. #21452362C2semidirect
17. #21452262C2semidirect
18. #21452118C2semidirect
19. #21451536C2semidirect
20. #21451536C2semidirect
21. #21450141C2semidirect
22. #21450070C2semidirect
23. #21449945C2semidirect
24. #21449370C2semidirect
25. #21449353C2semidirect
26. #21449300C2semidirect
27. #21449283C2semidirect
28. #21448479C2semidirect
29. #21448476C2semidirect
30. C2×#16839640C2semidirect
31. C61×#2493C2semidirect
34. C2×#14519772C22semidirect
35. C2×#14519765C22semidirect
36. C2×#14519762C22semidirect
39. C2×#14519755C22semidirect
40. C2×#14519755C22semidirect
42. C2×#14519752C22semidirect
43. C2×#14519752C22semidirect
44. C2×#14519752C22semidirect
55. #16839704C22semidirect
56. #16839703C22semidirect
57. #16839703C22semidirect
58. #16839697C22semidirect
59. #16839696C22semidirect
60. #16839696C22semidirect
61. #16839691C22semidirect
62. #16839691C22semidirect
63. #16839691C22semidirect
64. #16839691C22semidirect
65. #16839691C22semidirect
66. #16839689C22semidirect
67. #16839689C22semidirect
68. #16839689C22semidirect
69. #16839688C22semidirect
70. #16839686C22semidirect
71. #16839684C22semidirect
72. #16839684C22semidirect
81. #16839680C22semidirect
82. #16839680C22semidirect
83. #16839680C22semidirect
84. #16839680C22semidirect
85. #16839680C22semidirect
86. #16839679C22semidirect
87. #16839679C22semidirect
88. #16839675C22semidirect
89. #16839675C22semidirect
98. #16839672C22semidirect
99. #16839666C22semidirect
100. #16839664C22semidirect
101. #16839664C22semidirect
102. #16839664C22semidirect
103. #16839663C22semidirect
104. #16839663C22semidirect
105. #16839663C22semidirect
106. #16839659C22semidirect
107. #16839654C22semidirect
108. #16839654C22semidirect
109. #16839654C22semidirect
110. #16839654C22semidirect
111. #16839654C22semidirect
112. #16839653C22semidirect
113. #16839653C22semidirect
114. #16839653C22semidirect
115. #16839653C22semidirect
116. #16839652C22semidirect
117. #16839652C22semidirect
118. #16839652C22semidirect
119. #16839652C22semidirect
120. #16839651C22semidirect
121. #16839651C22semidirect
122. #16839651C22semidirect
123. #16839651C22semidirect
124. #16839651C22semidirect
125. #16839651C22semidirect
126. #16839645C22semidirect
127. #16839644C22semidirect
137. #16839640C22semidirect
138. #16839640C22semidirect
139. #16839640C22semidirect
140. #16839640C22semidirect
141. #16839640C22semidirect
142. #16839640C22semidirect
143. #16839640C22semidirect
144. #16839640C22semidirect
145. #16839640C22semidirect
146. #16839640C22semidirect
147. #16839640C22semidirect
152. #16839636C22semidirect
153. #16839636C22semidirect
154. #16839636C22semidirect
156. #16839633C22semidirect
157. #16839633C22semidirect
158. #16839626C22semidirect
159. #16839624C22semidirect
160. #16839621C22semidirect
161. #16839621C22semidirect
162. #16839621C22semidirect
164. #16839619C22semidirect
165. #16839619C22semidirect
172. C61×#401C22semidirect
173. C61×#400C22semidirect
174. C61×#400C22semidirect
175. C61×#400C22semidirect
176. C61×#387C22semidirect
177. C61×#387C22semidirect
178. C61×#387C22semidirect
181. C61×#383C22semidirect
849. #2493D61semidirect
897. #401C2×D61semidirect
901. #400C2×D61semidirect
902. #400C2×D61semidirect
903. #400C2×D61semidirect
974. #387C2×D61semidirect
975. #387C2×D61semidirect
976. #387C2×D61semidirect
1009. #383C2×D61semidirect
1029. C61#36758semidirect

Maximal subgroups

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

subgroupindex
#214541052
#214541022
#214536772
#214534792
#214534582
#214534442
#214531372
#214531022
#214530392
#214529282
#214528202
#214526132
#214524612
#214524492
#214523622
#214522622
#214521182
#214515362
#214501412
#214500702
#214499452
#214493702
#214493532
#214493002
#214492832
#214484792
#214484762
C2×#168396402
C61×#24932
#3675861