Finite Group Databasebeta

← #29848811

Subgroups — #29848811

Order 15616.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840289C211yesmaximal, characteristic, complemented
2C22×#14519733C211yesmaximal, characteristic, complemented
3#21450087C211yesmaximal, characteristic, complemented
4#21450064C211yesmaximal, characteristic, complemented
5#21450053C211yesmaximal, characteristic, complemented
6#21450030C211yesmaximal, characteristic, complemented
7#21450021C211yesmaximal, characteristic, complemented
8#21449998C211yesmaximal, characteristic, complemented
9#21449996C211yesmaximal, characteristic, complemented
10#21449973C211yesmaximal, characteristic, complemented
11#21449962C211yesmaximal, characteristic, complemented
12#21449939C211yesmaximal, characteristic, complemented
13#21449934C211yesmaximal, characteristic, complemented
14#21449911C211yesmaximal, characteristic, complemented
15#21449632C211yesmaximal, characteristic, complemented
16#21449548C211yesmaximal, characteristic, complemented
17#21449359C211yesmaximal, characteristic
18#21449088C211yesmaximal, characteristic, complemented
19#21449077C211yesmaximal, characteristic, complemented
20#21449075C211yesmaximal, characteristic, complemented
21#21449062C211yesmaximal, characteristic, complemented
22#21448347C211yesmaximal, characteristic, complemented
23#21448329C211yesmaximal, characteristic, complemented
24#120×Dic61C211yesmaximal, characteristic, complemented
25#21448318C211yesmaximal, characteristic, complemented
26#21448313C211yesmaximal, characteristic, complemented
27#21448279C211yesmaximal, characteristic, complemented
28#21448259C211yesmaximal, characteristic, complemented
29#21448255C211yesmaximal, characteristic, complemented
30C4×D4×Dic61C211yesmaximal, characteristic, complemented
31C61×#2418C211yesmaximal, characteristic, complemented
32C24×Dic61C2211yescharacteristic
33#16840289—28no—
34C2×#14519772C2211yescharacteristic, complemented
35C2×#14519770C2211yescharacteristic
36C2×#14519767C2211yescharacteristic, complemented
37C2×#14519763C2211yescharacteristic
38C2×#14519760C2211yescharacteristic, complemented
39C2×#14519756C2211yescharacteristic
40C2×#14519754C2211yescharacteristic, complemented
41C2×#14519749C2211yescharacteristic
42C2×#14519749C2211yescharacteristic
43C2×#14519746C2211yescharacteristic
44C2×#14519742C2211yescharacteristic, complemented
45C2×D4×Dic61C2211yescharacteristic
46C2×D4×Dic61C2211yescharacteristic
47C2×D4×Dic61C2211yescharacteristic
48C2×D4×Dic61C2211yescharacteristic
49C2×#14519737C2211yescharacteristic
50C2×#14519737C2211yescharacteristic
51C2×#14519737C2211yescharacteristic
52C2×#14519737C2211yescharacteristic, complemented
53C2×#14519735C2211yescharacteristic, complemented
54C2×#14519733—28no—
55C2×#14519733C2211yescharacteristic
56C2×#14519733C2211yescharacteristic
57C2×#14519733C2211yescharacteristic
58C2×#14519733C2211yescharacteristic
59C2×#14519733C2211yescharacteristic
60C2×#14519733C2211yescharacteristic
61C2×#14519733C2211yescharacteristic
62C2×#14519733C2211yescharacteristic
63C22×#11758196C2211yescharacteristic
64C22×#11758196C2211yescharacteristic
65C22×C22⋊Dic61C2211yescharacteristic
66C22×C4×Dic61C2211yescharacteristic
67C22×C4×Dic61C2211yescharacteristic
68C22×C4×Dic61C2211yescharacteristic, complemented
69#16839704C2211yescharacteristic, complemented
70#16839703C2211yescharacteristic, complemented
71#16839700C2211yescharacteristic, complemented
72#16839698C2211yescharacteristic, complemented
73#16839697C2211yescharacteristic, complemented
74#16839696C2211yescharacteristic, complemented
75#16839696C2211yescharacteristic, complemented
76#16839695C2211yescharacteristic, complemented
77#16839693C2211yescharacteristic, complemented
78#16839693C2211yescharacteristic, complemented
79#16839691C2211yescharacteristic, complemented
80#16839690C2211yescharacteristic
81#16839690C2211yescharacteristic
82#16839690C2211yescharacteristic
83#16839690C2211yescharacteristic, complemented
84#16839687C2211yescharacteristic
85#16839685C2211yescharacteristic
86#16839685C2211yescharacteristic
87#16839685C2211yescharacteristic, complemented
88#16839684C2211yescharacteristic, complemented
89#16839683C2211yescharacteristic, complemented
90#16839678C2211yescharacteristic
91#16839678C2211yescharacteristic
92#16839677C2211yescharacteristic
93#16839677C2211yescharacteristic, complemented
94#16839676C2211yescharacteristic
95#16839674C2211yescharacteristic
96#16839670C2211yescharacteristic
97#16839667C2211yescharacteristic, complemented
98#16839662C2211yescharacteristic
99#16839662C2211yescharacteristic
100#16839662C2211yescharacteristic, complemented
101#16839659C2211yescharacteristic, complemented
102#16839659C2211yescharacteristic, complemented
103#16839658C2211yescharacteristic, complemented
104#16839657C2211yescharacteristic, complemented
105#16839656C2211yescharacteristic
106#16839656C2211yescharacteristic
107#16839655C2211yescharacteristic
108#16839655C2211yescharacteristic
109#16839654C2211yescharacteristic, complemented
110#16839654C2211yescharacteristic, complemented
111#16839653C2211yescharacteristic, complemented
112#16839652C2211yescharacteristic, complemented
113#16839651C2211yescharacteristic, complemented
114#16839650C2211yescharacteristic
115#16839650C2211yescharacteristic
116#16839650C2211yescharacteristic, complemented
117#16839649C2211yescharacteristic, complemented
118#16839649C2211yescharacteristic, complemented
119#16839647C2211yescharacteristic, complemented
120#16839646C2211yescharacteristic, complemented
121#16839645C2211yescharacteristic, complemented
122#16839644C2211yescharacteristic, complemented
123#16839644C2211yescharacteristic, complemented
124#16839644C2211yescharacteristic, complemented
125#16839643C2211yescharacteristic, complemented
126#16839643C2211yescharacteristic, complemented
127#16839642C2211yescharacteristic
128#16839642C2211yescharacteristic
129#16839642C2211yescharacteristic
130#16839642C2211yescharacteristic
131#16839641C2211yescharacteristic
132#16839641C2211yescharacteristic
133#16839639C2211yescharacteristic
134#16839639C2211yescharacteristic
135#16839639C2211yescharacteristic
136#16839639C2211yescharacteristic
137#16839637C2211yescharacteristic
138#16839637C2211yescharacteristic
139#16839637C2211yescharacteristic
140#16839637C2211yescharacteristic
141#16839635C2211yescharacteristic, complemented
142#16839634C2211yescharacteristic
143#16839634C2211yescharacteristic
144#16839634C2211yescharacteristic
145#16839634C2211yescharacteristic
146#16839634C2211yescharacteristic
147#16839634C2211yescharacteristic, complemented
148#16839620C2211yescharacteristic
149#16839618C2211yescharacteristic
150C4⋊C4×Dic61C2211yescharacteristic, complemented
151C4⋊C4×Dic61C2211yescharacteristic, complemented
152C4⋊C4×Dic61C2211yescharacteristic, complemented
153C4⋊C4×Dic61C2211yescharacteristic, complemented
154C4×C4⋊Dic61C2211yescharacteristic, complemented
155#16839613C2211yescharacteristic, complemented
156#16839613C2211yescharacteristic, complemented
157#16839613C2211yescharacteristic, complemented
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic
160C22⋊C4×Dic61C2211yescharacteristic
161C22⋊C4×Dic61C2211yescharacteristic
162C22⋊C4×Dic61C2211yescharacteristic
163C22⋊C4×Dic61C2211yescharacteristic
164C22⋊C4×Dic61C2211yescharacteristic
165C22⋊C4×Dic61C2211yescharacteristic, complemented
166C22⋊C4×Dic61C2211yescharacteristic, complemented
167C22⋊C4×Dic61C2211yescharacteristic, complemented
168C4×C22⋊Dic61C2211yescharacteristic
169C4×C22⋊Dic61C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic, complemented
171#16839609C2211yescharacteristic, complemented
172#16839607C2211yescharacteristic, complemented
173C42×Dic61C2211yescharacteristic, complemented
174C2×#123×C61C2211yescharacteristic
175C2×#120×C61C2211yescharacteristic
176C2×C4×D4×C61C2211yescharacteristic
177C22×C22⋊C4×C61C2211yescharacteristic
178C61×#399C2211yescharacteristic
179C61×#397C2211yescharacteristic
180C61×#394C2211yescharacteristic
181C61×#394C2211yescharacteristic
182C61×#388C2211yescharacteristic
183C61×#388C2211yescharacteristic
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#385C2211yescharacteristic
187C61×#380C2211yescharacteristic
188C61×#379C2211yescharacteristic
189C22×Dic122C2311yescharacteristic
190C22×C22⋊D61C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C23×Dic61—24no—
195C23×Dic61—24no—
196C23×Dic61—24no—
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208#14519772—24no—
209#14519770—24no—
210#14519767—24no—
211#14519763—24no—
212#14519760—24no—
213#14519756—24no—
214#14519754—24no—
215#14519749—24no—
216#14519749—24no—
217#14519746—24no—
218#14519742—24no—
219D4×Dic61—24no—
220D4×Dic61—24no—
221D4×Dic61—24no—
222D4×Dic61—24no—
223#14519737—24no—
224#14519737—24no—
225#14519737—24no—
226#14519737—24no—
227#14519735—24no—
228#14519733—24no—
229#14519733—24no—
230#14519733—24no—
231#14519733—24no—
232#14519733—24no—
233#14519733—24no—
234#14519733—24no—
235#14519733D418yescomplemented
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×C4⋊Dic61C2311yescharacteristic
239C2×C4⋊Dic61C2311yescharacteristic
240C2×C4⋊Dic61C2311yescharacteristic
241C2×C4⋊Dic61C2311yescharacteristic
242C2×C4⋊Dic61C2311yescharacteristic
243C2×#11758196—24no—
244C2×#11758196—24no—
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×C22⋊Dic61—24no—
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×C4×Dic61—24no—
295C2×C4×Dic61—24no—
296C2×C4×Dic61—24no—
297C2×C4×Dic61C2311yescharacteristic
298C2×C4×Dic61C2311yescharacteristic
299C2×C4×Dic61C2311yescharacteristic
300C2×C4×Dic61C2311yescharacteristic
301C2×C4×Dic61C2311yescharacteristic
302C2×C4×Dic61C2311yescharacteristic
303C2×C4×Dic61C2311yescharacteristic
304C2×C4×Dic61C2311yescharacteristic
305C2×C4×Dic61C2311yescharacteristic
306C2×C4×Dic61C2311yescharacteristic
307C2×C4×Dic61C2311yescharacteristic
308C2×C4×Dic61C2311yescharacteristic
309C2×C4×Dic61C2311yescharacteristic
310C2×C4×Dic61C2311yescharacteristic
311C2×C4×Dic61C2311yescharacteristic
312C2×C4×Dic61C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
314C2×C4×Dic61C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
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
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346C25×C61C2311yescharacteristic
347C22×D4×C61C2311yescharacteristic
348C22×D4×C61C2311yescharacteristic
349C22×D4×C61C2311yescharacteristic
350C23×C4×C61C2311yescharacteristic
351C23×C4×C61C2311yescharacteristic
352C23×C4×C61C2311yescharacteristic
353#123×C61—24no—
354#120×C61—24no—
355C4×D4×C61—24no—
356C2×C4⋊C4×C61C2311yescharacteristic
357C2×C4⋊C4×C61C2311yescharacteristic
358C2×C4⋊C4×C61C2311yescharacteristic
359C2×C4⋊C4×C61C2311yescharacteristic
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61—24no—
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C42×C61C2311yescharacteristic
379#95×C61C2311yescharacteristic
380#95×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382#95×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385C24×C61—22no—
386C24×C61—22no—
387C24×C61—22no—
388C24×C61—22no—
389C24×C61—22no—
390C24×C61—41no—
391C24×C61—41no—
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C24×C61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C2×D4×C61—22no—
398C2×D4×C61—22no—
399C2×D4×C61—22no—
400C2×D4×C61—22no—
401C2×D4×C61—22no—
402C2×D4×C61—22no—
403C2×D4×C61—41no—
404C2×D4×C61—41no—
405C2×D4×C61#4114yes—
406C22×C4×C61—22no—
407C22×C4×C61—22no—
408C22×C4×C61—22no—
409C22×C4×C61—22no—
410C22×C4×C61—22no—
411C22×C4×C61—22no—
412C22×C4×C61—41no—
413C22×C4×C61—41no—
414C22×C4×C61—41no—
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C2×C22⋊D61—22no—
430C2×C22⋊D61—22no—
431C2×C22⋊D61—22no—
432C2×C22⋊D61—22no—
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—41no—
436C2×C22⋊D61—41no—
437C2×C22⋊D61—41no—
438C22×Dic61—232no—
439C22×Dic61—22no—
440C22×Dic61—22no—
441C22×Dic61—22no—
442C22×Dic61—22no—
443C22×Dic61—22no—
444C22×Dic61—22no—
445C22×Dic61—22no—
446C22×Dic61—22no—
447C22×Dic61—22no—
448C22×Dic61—22no—
449C22×Dic61—22no—
450C22×Dic61—22no—
451C22×Dic61—22no—
452C22×Dic61—22no—
453C22×Dic61—22no—
454C22×Dic61—22no—
455C22×Dic61—22no—
456C22×Dic61—22no—
457C22×Dic61—22no—
458C22×Dic61—22no—
459C22×Dic61—22no—
460C22×Dic61—22no—
461C22×Dic61—22no—
462C22×Dic61—22no—
463C22×Dic61—41no—
464C22×Dic61—41no—
465C22×Dic61—41no—
466C22×Dic61C2×D414yes—
467C22×Dic61#4114yes—
468C22×Dic61#4114yes—
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C2×C4×D61—22no—
485C2×C4×D61—22no—
486C2×C4×D61—22no—
487C2×Dic122—22no—
488C2×Dic122—22no—
489C2×Dic122—41no—
490C4⋊C4×C61—22no—
491C4⋊C4×C61—22no—
492C4⋊C4×C61—22no—
493C4⋊C4×C61—41no—
494C4⋊C4×C61—41no—
495C22⋊C4×C61—22no—
496C22⋊C4×C61—22no—
497C22⋊C4×C61—22no—
498C22⋊C4×C61—22no—
499C22⋊C4×C61—22no—
500C22⋊C4×C61—22no—
501C22⋊C4×C61—22no—
502C22⋊C4×C61—22no—
503C22⋊C4×C61—22no—
504C22⋊C4×C61—22no—
505C22⋊C4×C61—22no—
506C22⋊C4×C61—22no—
507C22⋊C4×C61—41no—
508C22⋊C4×C61—41no—
509C22⋊C4×C61—41no—
510C22⋊C4×C61C2×D414yes—
511C42×C61—22no—
512C22⋊Dic61—22no—
513C22⋊Dic61—22no—
514C22⋊Dic61—22no—
515C22⋊Dic61—22no—
516C22⋊Dic61—22no—
517C22⋊Dic61—22no—
518C22⋊Dic61—22no—
519C22⋊Dic61—22no—
520C22⋊Dic61—22no—
521C22⋊Dic61—22no—
522C22⋊Dic61—22no—
523C22⋊Dic61—22no—
524C22⋊Dic61—22no—
525C22⋊Dic61—22no—
526C22⋊Dic61—41no—
527C22⋊Dic61—41no—
528C22⋊Dic61C2×D414yes—
529C22⋊Dic61#4114yes—
530#11758198—22no—
531#11758198—22no—
532#11758198—22no—
533#11758198—22no—
534#11758198—22no—
535#11758198—22no—
536#11758198—22no—
537#11758198—41no—
538#11758198—41no—
539#11758198—41no—
540C4⋊Dic61—22no—
541C4⋊Dic61—22no—
542C4⋊Dic61—22no—
543C4⋊Dic61—22no—
544C4⋊Dic61—22no—
545C4⋊Dic61—22no—
546C4⋊Dic61—41no—
547#11758196—22no—
548#11758196—22no—
549#11758196—22no—
550#11758196—22no—
551#11758196—22no—
552#11758196—22no—
553#11758196—22no—
554#11758196—22no—
555#11758196—22no—
556#11758196—22no—
557#11758196—22no—
558#11758196—22no—
559#11758196—22no—
560#11758196—22no—
561#11758196—22no—
562#11758196—41no—
563#11758196—41no—
564#11758196—41no—
565#11758196C2×D414yes—
566#11758196C2×D414yes—
567C4×Dic61—22no—
568C4×Dic61—22no—
569C4×Dic61—22no—
570C4×Dic61—22no—
571C4×Dic61—22no—
572C4×Dic61—22no—
573C4×Dic61—22no—
574C4×Dic61—22no—
575C4×Dic61—22no—
576C4×Dic61—22no—
577C4×Dic61—22no—
578C4×Dic61—22no—
579C4×Dic61—22no—
580C4×Dic61—22no—
581C4×Dic61—22no—
582C4×Dic61—41no—
583C4×Dic61—41no—
584C4×Dic61C2×D414yes—
585C4×Dic61C2×D414yes—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—28no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61—21no—
605C23×C61—21no—
606C23×C61—21no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—44no—
610C23×C61—44no—
611C23×C61—44no—
612C23×C61—44no—
613C23×C61—44no—
614C23×C61—44no—
615C23×C61C22×D412yes—
616C23×C61C2×#4112yes—
617C23×C61C2×#4112yes—
618C23×C61C2×#4112yes—
619C23×C61C2×#4112yes—
620C23×C61C2×#4112yes—
621C23×C61C2511yescharacteristic
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—21no—
627C22×D61—21no—
628C22×D61—21no—
629D4×C61—28no—
630D4×C61—44no—
631D4×C61—44no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—44no—
663C2×C4×C61—44no—
664C2×C4×C61—44no—
665C2×C4×C61C22×D412yes—
666C2×C4×C61C22×D412yes—
667C2×C4×C61C2×#4112yes—
668C22⋊D61—44no—
669C22⋊D61—44no—
670C22⋊D61—44no—
671C22⋊D61—44no—
672C2×Dic61—28no—
673C2×Dic61—28no—
674C2×Dic61—28no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—28no—
690C2×Dic61—28no—
691C2×Dic61—28no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—44no—
714C2×Dic61—44no—
715C2×Dic61—44no—
716C2×Dic61—44no—
717C2×Dic61C22×D412yes—
718C2×Dic61C22×D412yes—
719C2×Dic61C22×D412yes—
720C2×Dic61C22×D412yes—
721C2×Dic61C2×#4112yes—
722C2×Dic61C2×#4112yes—
723C2×Dic61C2×#4112yes—
724C2×Dic61C2×#4112yes—
725C2×Dic61C2×#4112yes—
726C2×Dic61C2×#4112yes—
727C4×D61—44no—
728Dic122—44no—
729#34740—611nomaximal, Sylow
730C22×C61—22no—
731C22×C61—22no—
732C22×C61—22no—
733C22×C61—22no—
734C22×C61—22no—
735C22×C61—22no—
736C22×C61—22no—
737C22×C61—22no—
738C22×C61—22no—
739C22×C61—22no—
740C22×C61—22no—
741C22×C61—22no—
742C22×C61—22no—
743C22×C61—22no—
744C22×C61—22no—
745C22×C61—416no—
746C22×C61—41no—
747C22×C61—41no—
748C22×C61—41no—
749C22×C61—41no—
750C22×C61—41no—
751C22×C61—41no—
752C22×C61—41no—
753C22×C61—41no—
754C22×C61—41no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61#52914yescomplemented
759C22×C61C23×D411yescharacteristic
760C22×C61C22×#4111yescharacteristic
761C22×C61C22×#4111yescharacteristic
762C22×C61C22×#4111yescharacteristic
763C22×C61C22×#4111yescharacteristic
764C22×C61#58511yescharacteristic
765C22×C61#58511yescharacteristic
766C2×D61—41no—
767C2×D61—41no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61—41no—
773C4×C61—22no—
774C4×C61—22no—
775C4×C61—22no—
776C4×C61—41no—
777C4×C61—41no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784Dic61—22no—
785Dic61—22no—
786Dic61—22no—
787Dic61—22no—
788Dic61—22no—
789Dic61—22no—
790Dic61—22no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61#52514yes—
799C2×#529—611no—
800C22×#117—611no—
801#2481—611no—
802#2480—611no—
803#2479—611no—
804#2478—611no—
805#2477—611no—
806#2476—611no—
807#2475—611no—
808#2474—611no—
809#2473—611no—
810#2472—611no—
811#2471—611no—
812#2470—611no—
813#2449—611no—
814#2443—611no—
815#2424—611no—
816#2418D6111yescharacteristic, complemented
817#2396—611no—
818#2395—611no—
819#2395—611no—
820#2392—611no—
821C4×C22⋊Q8—611no—
822C4×#121—611no—
823C4×#120—611no—
824C4×#120—611no—
825#2298—611no—
826#2293—611no—
827#2290—611no—
828#2290—611no—
829C42×D4—611no—
830C2×C61—24no—
831C2×C61—42no—
832C2×C61—42no—
833C2×C61—42no—
834C2×C61C2×#52511yescharacteristic
835C2×C61C2×#52911yescharacteristic
836C2×C61#345511yescharacteristic
837C2×C61D4×#4111yescharacteristic
838C2×C61D4×#4111yescharacteristic
839C2×C61#347511yescharacteristic
840C2×C61#347511yescharacteristic
841D61—81no—
842C24×C4—611no—
843#529—1228no—
844C2×#126—611no—
845C2×#126—611no—
846C2×#125—611no—
847C2×#124—611no—
848C2×#123—611no—
849C2×#123C2×D6111yescharacteristic
850C2×C22⋊Q8—611no—
851C2×C22⋊Q8—611no—
852C2×#121—611no—
853C2×#121—611no—
854C2×#120—611no—
855C2×#120C2×D6111yescharacteristic
856C2×C4×Q8—611no—
857C2×C4×D4—611no—
858C2×C4×D4—611no—
859C2×C4×D4—611no—
860C2×C4×D4—611no—
861C2×C4×D4—611no—
862C2×C4×D4—611no—
863C2×C4×D4—611no—
864C2×C4×D4—611no—
865C2×C4×D4C2×D6111yescharacteristic
866C2×#117—611no—
867C2×#117—611no—
868C2×#117—611no—
869C2×#117—611no—
870C2×#117—611no—
871C2×#117—611no—
872C2×#117—611no—
873C2×#117—611no—
874C2×#117—611no—
875C2×#117—1228no—
876C22×C4⋊C4—611no—
877C22×C4⋊C4—611no—
878C22×C22⋊C4—611no—
879C22×C22⋊C4C2×D6111yescharacteristic
880C22×C42—611no—
881C22×C42—611no—
882C22×C42—611no—
883#400—611no—
884#400—611no—
885#400—611no—
886#399—611no—
887#399—611no—
888#399C2×D6111yescharacteristic
889#398—611no—
890#398—611no—
891#398—611no—
892#398—611no—
893#398—611no—
894#397—611no—
895#397—611no—
896#397—611no—
897#397—611no—
898#397—611no—
899#397—611no—
900#397C2×D6111yescharacteristic
901#396—611no—
902#396—611no—
903#396—611no—
904#396—611no—
905#395—611no—
906#394—611no—
907#394—611no—
908#394—611no—
909#394—611no—
910#394—611no—
911#394C2×D6111yescharacteristic
912#394C2×D6111yescharacteristic
913#393—611no—
914#392—611no—
915#391—611no—
916#390—611no—
917#390—611no—
918#390—611no—
919#389—611no—
920#389—611no—
921#389—611no—
922#389—611no—
923#388—611no—
924#388—611no—
925#388—611no—
926#388—611no—
927#388—611no—
928#388—611no—
929#388—611no—
930#388—611no—
931#388—611no—
932#388—611no—
933#388—611no—
934#388—611no—
935#388C2×D6111yescharacteristic
936#388C2×D6111yescharacteristic
937#387—611no—
938#387—611no—
939#387—611no—
940#387—611no—
941#387—611no—
942#387—611no—
943#387—611no—
944#387—611no—
945#387—611no—
946#387—611no—
947#386—611no—
948#386—611no—
949#386—611no—
950#386—611no—
951#386—611no—
952#386—611no—
953#386—611no—
954#386—611no—
955#386—611no—
956#386—611no—
957#386C2×D6111yescharacteristic
958#386C2×D6111yescharacteristic
959#385—611no—
960#385—611no—
961#385—611no—
962#385—611no—
963#385—611no—
964#385—611no—
965#385—611no—
966#385—611no—
967#385—611no—
968#385—611no—
969#385—611no—
970#385C2×D6111yescharacteristic
971#380—611no—
972#380C2×D6111yescharacteristic
973#379—611no—
974#379C2×D6111yescharacteristic
975C4×C4⋊C4—611no—
976C4×C4⋊C4—611no—
977C4×C4⋊C4—611no—
978C4×C4⋊C4—611no—
979C4×C4⋊C4—611no—
980C4×C4⋊C4—611no—
981C4×C4⋊C4—611no—
982C4×C4⋊C4—611no—
983C4×C22⋊C4—611no—
984C4×C22⋊C4—611no—
985C4×C22⋊C4—611no—
986C4×C22⋊C4—611no—
987C4×C22⋊C4—611no—
988C4×C22⋊C4—611no—
989C4×C22⋊C4—611no—
990C4×C22⋊C4—611no—
991C4×C22⋊C4—611no—
992C4×C22⋊C4—611no—
993C4×C22⋊C4—611no—
994C4×C22⋊C4—611no—
995C4×C22⋊C4—611no—
996C4×C22⋊C4—611no—
997#376—611no—
998C43—611no—
999C61#3474011yescharacteristic, complemented, Sylow
1000C25C22×D6111yescharacteristic
1001C22×Q8—611no—
1002C22×D4—611no—
1003C22×D4—611no—
1004C22×D4—611no—
1005C22×D4—611no—
1006C22×D4C22×D6111yescharacteristic
1007C22×D4C22×D6111yescharacteristic
1008C22×D4C22×D6111yescharacteristic
1009C23×C4—611no—
1010C23×C4—611no—
1011C23×C4—611no—
1012C23×C4—611no—
1013C23×C4—611no—
1014C23×C4—611no—
1015C23×C4—611no—
1016C23×C4—611no—
1017C23×C4—611no—
1018C23×C4—611no—
1019C23×C4—611no—
1020C23×C4—1224no—
1021C23×C4—1224no—
1022C23×C4—1224no—
1023C23×C4C22×D6111yescharacteristic
1024C23×C4C22×D6111yescharacteristic
1025C23×C4C22×D6111yescharacteristic
1026#126—1224no—
1027#126—1224no—
1028#125—1224no—
1029#124—1224no—
1030#123—24no—
1031#123—1224no—
1032C22⋊Q8—1224no—
1033C22⋊Q8—1224no—
1034#121—1224no—
1035#121—1224no—
1036#120—24no—
1037#120—1224no—
1038C4×Q8—1224no—
1039C4×D4—24no—
1040C4×D4—1224no—
1041C4×D4—1224no—
1042C4×D4—1224no—
1043C4×D4—1224no—
1044C4×D4—1224no—
1045C4×D4—1224no—
1046C4×D4—1224no—
1047C4×D4—1224no—
1048#117—618no—
1049#117—1224no—
1050#117—1224no—
1051#117—1224no—
1052#117—1224no—
1053#117—1224no—
1054#117—1224no—
1055#117—1224no—
1056#117—1224no—
1057C2×C4⋊C4—611no—
1058C2×C4⋊C4—611no—
1059C2×C4⋊C4—611no—
1060C2×C4⋊C4—611no—
1061C2×C4⋊C4—611no—
1062C2×C4⋊C4—611no—
1063C2×C4⋊C4—611no—
1064C2×C4⋊C4—611no—
1065C2×C4⋊C4—611no—
1066C2×C4⋊C4—611no—
1067C2×C4⋊C4—611no—
1068C2×C4⋊C4—611no—
1069C2×C4⋊C4—611no—
1070C2×C4⋊C4—611no—
1071C2×C4⋊C4—611no—
1072C2×C4⋊C4—611no—
1073C2×C4⋊C4—611no—
1074C2×C4⋊C4—611no—
1075C2×C4⋊C4—611no—
1076C2×C4⋊C4—611no—
1077C2×C4⋊C4—611no—
1078C2×C4⋊C4—611no—
1079C2×C4⋊C4—611no—
1080C2×C4⋊C4—611no—
1081C2×C4⋊C4—611no—
1082C2×C4⋊C4—611no—
1083C2×C4⋊C4—611no—
1084C2×C4⋊C4—1224no—
1085C2×C4⋊C4—1224no—
1086C2×C4⋊C4C22×D6111yescharacteristic
1087C2×C4⋊C4C22×D6111yescharacteristic
1088C2×C4⋊C4C22×D6111yescharacteristic
1089C2×C4⋊C4C22×D6111yescharacteristic
1090C2×C4⋊C4C22×D6111yescharacteristic
1091C2×C22⋊C4—24no—
1092C2×C22⋊C4—611no—
1093C2×C22⋊C4—611no—
1094C2×C22⋊C4—611no—
1095C2×C22⋊C4—611no—
1096C2×C22⋊C4—611no—
1097C2×C22⋊C4—611no—
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—611no—
1100C2×C22⋊C4—611no—
1101C2×C22⋊C4—611no—
1102C2×C22⋊C4—611no—
1103C2×C22⋊C4—611no—
1104C2×C22⋊C4—611no—
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—1224no—
1121C2×C22⋊C4C22×D6111yescharacteristic
1122C2×C22⋊C4C22×D6111yescharacteristic
1123C2×C22⋊C4C22×D6111yescharacteristic
1124C2×C22⋊C4C22×D6111yescharacteristic
1125C2×C22⋊C4C22×D6111yescharacteristic
1126C2×C22⋊C4C22×D6111yescharacteristic
1127C2×C22⋊C4C22×D6111yescharacteristic
1128C2×C22⋊C4C22×D6111yescharacteristic
1129C2×C22⋊C4C22×D6111yescharacteristic
1130C2×C22⋊C4C22×D6111yescharacteristic
1131C2×C22⋊C4C22×D6111yescharacteristic
1132C2×C22⋊C4C22×D6111yescharacteristic
1133C2×C22⋊C4C22×D6111yescharacteristic
1134C2×C22⋊C4C22×D6111yescharacteristic
1135C2×C22⋊C4C22×D6111yescharacteristic
1136C2×C22⋊C4C22×D6111yescharacteristic
1137C2×C42—611no—
1138C2×C42—611no—
1139C2×C42—611no—
1140C2×C42—611no—
1141C2×C42—611no—
1142C2×C42—611no—
1143C2×C42—611no—
1144C2×C42—611no—
1145C2×C42—611no—
1146C2×C42—611no—
1147C2×C42—611no—
1148C2×C42—611no—
1149C2×C42—611no—
1150C2×C42—611no—
1151C2×C42—611no—
1152C2×C42—611no—
1153C2×C42—611no—
1154C2×C42—611no—
1155C2×C42—611no—
1156C2×C42—1224no—
1157C2×C42—1224no—
1158C2×C42—1224no—
1159C2×C42C22×D6111yescharacteristic
1160#95—611no—
1161#95—611no—
1162#95—611no—
1163#95—611no—
1164#95—611no—
1165#95—611no—
1166#95—611no—
1167#95—611no—
1168#95—611no—
1169#95—611no—
1170#95—611no—
1171#95—611no—
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95—611no—
1180#95—611no—
1181#95—611no—
1182#95—611no—
1183#95—611no—
1184#95—611no—
1185#95—611no—
1186#95—611no—
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95C22×D6111yescharacteristic
1191#95C22×D6111yescharacteristic
1192#95C22×D6111yescharacteristic
1193#95C22×D6111yescharacteristic
1194#95C22×D6111yescharacteristic
1195#95C22×D6111yescharacteristic
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—41no—
1202C24—41no—
1203C24—611no—
1204C24C23×D6111yescharacteristic
1205C24C23×D6111yescharacteristic
1206C24C23×D6111yescharacteristic
1207C24C23×D6111yescharacteristic
1208C2×Q8—1222no—
1209C2×Q8—1222no—
1210C2×Q8—2441no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—1222no—
1220C2×D4—1222no—
1221C2×D4—1222no—
1222C2×D4—1222no—
1223C2×D4—1222no—
1224C2×D4—1222no—
1225C2×D4—1222no—
1226C2×D4—1222no—
1227C2×D4—1222no—
1228C2×D4—2441no—
1229C2×D4—2441no—
1230C2×D4—2441no—
1231C2×D4#1175822414yes—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—611no—
1242C22×C4—614no—
1243C22×C4—614no—
1244C22×C4—614no—
1245C22×C4—611no—
1246C22×C4—611no—
1247C22×C4—611no—
1248C22×C4—611no—
1249C22×C4—611no—
1250C22×C4—611no—
1251C22×C4—611no—
1252C22×C4—611no—
1253C22×C4—611no—
1254C22×C4—611no—
1255C22×C4—611no—
1256C22×C4—611no—
1257C22×C4—611no—
1258C22×C4—611no—
1259C22×C4—1222no—
1260C22×C4—1222no—
1261C22×C4—1222no—
1262C22×C4—1222no—
1263C22×C4—1222no—
1264C22×C4—1222no—
1265C22×C4—1222no—
1266C22×C4—1222no—
1267C22×C4—1222no—
1268C22×C4—1222no—
1269C22×C4—1222no—
1270C22×C4—1222no—
1271C22×C4—1222no—
1272C22×C4—1222no—
1273C22×C4—1222no—
1274C22×C4—1222no—
1275C22×C4—1222no—
1276C22×C4—1222no—
1277C22×C4—1222no—
1278C22×C4—1222no—
1279C22×C4—1222no—
1280C22×C4—1222no—
1281C22×C4—12232no—
1282C22×C4—1222no—
1283C22×C4—1222no—
1284C22×C4—1222no—
1285C22×C4—1222no—
1286C22×C4—1222no—
1287C22×C4—2441no—
1288C22×C4—2441no—
1289C22×C4—2441no—
1290C22×C4C23×D6111yescharacteristic
1291C22×C4C23×D6111yescharacteristic
1292C22×C4C23×D6111yescharacteristic
1293C22×C4C23×D6111yescharacteristic
1294C22×C4C23×D6111yescharacteristic
1295C22×C4C23×D6111yescharacteristic
1296C22×C4C23×D6111yescharacteristic
1297C22×C4C23×D6111yescharacteristic
1298C22×C4C23×D6111yescharacteristic
1299C22×C4C23×D6111yescharacteristic
1300C22×C4C23×D6111yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—614no—
1307C4⋊C4—614no—
1308C4⋊C4—1222no—
1309C4⋊C4—1222no—
1310C4⋊C4—1222no—
1311C4⋊C4—1222no—
1312C4⋊C4—1222no—
1313C4⋊C4—1222no—
1314C4⋊C4—1222no—
1315C4⋊C4—1222no—
1316C4⋊C4—1222no—
1317C4⋊C4—1222no—
1318C4⋊C4—1222no—
1319C4⋊C4—1222no—
1320C4⋊C4—1222no—
1321C4⋊C4—1222no—
1322C4⋊C4—1222no—
1323C4⋊C4—1222no—
1324C4⋊C4—1222no—
1325C4⋊C4—1222no—
1326C4⋊C4—1222no—
1327C4⋊C4—1222no—
1328C4⋊C4—1222no—
1329C4⋊C4—2441no—
1330C4⋊C4—2441no—
1331C4⋊C4—2441no—
1332C4⋊C4—2441no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—614no—
1349C22⋊C4—614no—
1350C22⋊C4—1222no—
1351C22⋊C4—1222no—
1352C22⋊C4—1222no—
1353C22⋊C4—1222no—
1354C22⋊C4—1222no—
1355C22⋊C4—1222no—
1356C22⋊C4—1222no—
1357C22⋊C4—1222no—
1358C22⋊C4—1222no—
1359C22⋊C4—1222no—
1360C22⋊C4—1222no—
1361C22⋊C4—1222no—
1362C22⋊C4—1222no—
1363C22⋊C4—1222no—
1364C22⋊C4—1222no—
1365C22⋊C4—1222no—
1366C22⋊C4—1222no—
1367C22⋊C4—1222no—
1368C22⋊C4—1222no—
1369C22⋊C4—1222no—
1370C22⋊C4—1222no—
1371C22⋊C4—2441no—
1372C22⋊C4—2441no—
1373C22⋊C4—2441no—
1374C22⋊C4—2441no—
1375C22⋊C4—2441no—
1376C22⋊C4D4×D6114yes—
1377C42—22no—
1378C42—614no—
1379C42—614no—
1380C42—1222no—
1381C42—1222no—
1382C42—1222no—
1383C42—1222no—
1384C42—1222no—
1385C42—1222no—
1386C42—1222no—
1387C42—1222no—
1388C42—1222no—
1389C42—1222no—
1390C42—1222no—
1391C42—1222no—
1392C42—1222no—
1393C42—1222no—
1394C42—1222no—
1395C42—2441no—
1396C42—2441no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—28no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—1221no—
1427C23—1221no—
1428C23—1221no—
1429C23—1221no—
1430C23—1221no—
1431C23—1221no—
1432C23—1221no—
1433C23C2×D4×D6112yes—
1434C23#41×D6112yes—
1435C23#41×D6112yes—
1436C23#41×D6112yes—
1437C23C2×#1175822412yes—
1438C23C2×#1175822412yes—
1439C23C24×D6111yescharacteristic
1440Q8—2444no—
1441D4—28no—
1442D4—44no—
1443D4—44no—
1444D4—2444no—
1445D4—2444no—
1446D4—2444no—
1447D4—2444no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—612no—
1482C2×C4—612no—
1483C2×C4—612no—
1484C2×C4—612no—
1485C2×C4—612no—
1486C2×C4—612no—
1487C2×C4—612no—
1488C2×C4—612no—
1489C2×C4—612no—
1490C2×C4—612no—
1491C2×C4—1228no—
1492C2×C4—1228no—
1493C2×C4—1228no—
1494C2×C4—1228no—
1495C2×C4—1228no—
1496C2×C4—1228no—
1497C2×C4—1221no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—1221no—
1504C2×C4—1221no—
1505C2×C4—1221no—
1506C2×C4—1221no—
1507C2×C4—1221no—
1508C2×C4—1221no—
1509C2×C4—1221no—
1510C2×C4—1221no—
1511C2×C4—1221no—
1512C2×C4—1221no—
1513C2×C4—1221no—
1514C2×C4—1221no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—1221no—
1526C2×C4—1221no—
1527C2×C4—1221no—
1528C2×C4—1221no—
1529C2×C4—1221no—
1530C2×C4—1221no—
1531C2×C4—1221no—
1532C2×C4—2444no—
1533C2×C4—2444no—
1534C2×C4—2444no—
1535C2×C4—2444no—
1536C2×C4—2444no—
1537C2×C4C2×D4×D6112yes—
1538C2×C4C2×D4×D6112yes—
1539C2×C4C2×#1175822412yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—416no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—2441no—
1569C22—2441no—
1570C22—2441no—
1571C22—2441no—
1572C22—2441no—
1573C22—2441no—
1574C22—2441no—
1575C22#1684028914yescomplemented
1576C22C22×D4×D6111yescharacteristic
1577C22C2×#41×D6111yescharacteristic
1578C22C2×#41×D6111yescharacteristic
1579C22C2×#41×D6111yescharacteristic
1580C22C22×#1175822411yescharacteristic
1581C22#1684059711yescharacteristic
1582C22#1684059711yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—614no—
1595C4—1222no—
1596C4—1222no—
1597C4—1222no—
1598C4—1222no—
1599C4—1222no—
1600C4—1222no—
1601C4—1222no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C4—2441no—
1608C4—2441no—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—42no—
1613C2—4881no—
1614C2#525×D6111yescharacteristic
1615C2C2×#1684028911yescharacteristic
1616C2#2145920111yescharacteristic
1617C2D4×#1175822411yescharacteristic
1618C2#2145930311yescharacteristic
1619C2#2145937011yescharacteristic
1620C2#2145937411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2418C2
prime radical#21449359C2
hypercenter#2418D61
hypocenterC61#34740
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#16840289C2semidirect
2. C22×#14519733C2semidirect
3. #21450087C2semidirect
4. #21450064C2semidirect
5. #21450053C2semidirect
6. #21450030C2semidirect
7. #21450021C2semidirect
8. #21449998C2semidirect
9. #21449996C2semidirect
10. #21449973C2semidirect
11. #21449962C2semidirect
12. #21449939C2semidirect
13. #21449934C2semidirect
14. #21449911C2semidirect
15. #21449632C2semidirect
16. #21449548C2semidirect
18. #21449088C2semidirect
19. #21449077C2semidirect
20. #21449075C2semidirect
21. #21449062C2semidirect
22. #21448347C2semidirect
23. #21448329C2semidirect
24. #120×Dic61C2semidirect
25. #21448318C2semidirect
26. #21448313C2semidirect
27. #21448279C2semidirect
28. #21448259C2semidirect
29. #21448255C2semidirect
30. C4×D4×Dic61C2semidirect
31. C61×#2418C2semidirect
34. C2×#14519772C22semidirect
36. C2×#14519767C22semidirect
38. C2×#14519760C22semidirect
40. C2×#14519754C22semidirect
44. C2×#14519742C22semidirect
52. C2×#14519737C22semidirect
53. C2×#14519735C22semidirect
68. C22×C4×Dic61C22semidirect
69. #16839704C22semidirect
70. #16839703C22semidirect
71. #16839700C22semidirect
72. #16839698C22semidirect
73. #16839697C22semidirect
74. #16839696C22semidirect
75. #16839696C22semidirect
76. #16839695C22semidirect
77. #16839693C22semidirect
78. #16839693C22semidirect
79. #16839691C22semidirect
83. #16839690C22semidirect
87. #16839685C22semidirect
88. #16839684C22semidirect
89. #16839683C22semidirect
93. #16839677C22semidirect
97. #16839667C22semidirect
100. #16839662C22semidirect
101. #16839659C22semidirect
102. #16839659C22semidirect
103. #16839658C22semidirect
104. #16839657C22semidirect
109. #16839654C22semidirect
110. #16839654C22semidirect
111. #16839653C22semidirect
112. #16839652C22semidirect
113. #16839651C22semidirect
116. #16839650C22semidirect
117. #16839649C22semidirect
118. #16839649C22semidirect
119. #16839647C22semidirect
120. #16839646C22semidirect
121. #16839645C22semidirect
122. #16839644C22semidirect
123. #16839644C22semidirect
124. #16839644C22semidirect
125. #16839643C22semidirect
126. #16839643C22semidirect
141. #16839635C22semidirect
147. #16839634C22semidirect
150. C4⋊C4×Dic61C22semidirect
151. C4⋊C4×Dic61C22semidirect
152. C4⋊C4×Dic61C22semidirect
153. C4⋊C4×Dic61C22semidirect
154. C4×C4⋊Dic61C22semidirect
155. #16839613C22semidirect
156. #16839613C22semidirect
157. #16839613C22semidirect
165. C22⋊C4×Dic61C22semidirect
166. C22⋊C4×Dic61C22semidirect
167. C22⋊C4×Dic61C22semidirect
169. C4×C22⋊Dic61C22semidirect
170. #16839609C22semidirect
171. #16839609C22semidirect
172. #16839607C22semidirect
173. C42×Dic61C22semidirect
235. #14519733D4semidirect
758. C22×C61#529semidirect
816. #2418D61semidirect
999. C61#34740semidirect
1575. C22#16840289semidirect

Maximal subgroups

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

subgroupindex
C2×#168402892
C22×#145197332
#214500872
#214500642
#214500532
#214500302
#214500212
#214499982
#214499962
#214499732
#214499622
#214499392
#214499342
#214499112
#214496322
#214495482
#214493592
#214490882
#214490772
#214490752
#214490622
#214483472
#214483292
#120×Dic612
#214483182
#214483132
#214482792
#214482592
#214482552
C4×D4×Dic612
C61×#24182
#3474061