Finite Group Databasebeta

← #29848827

Subgroups — #29848827

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×#14519735C211yesmaximal, characteristic, complemented
3#21450079C211yesmaximal, characteristic, complemented
4#21450072C211yesmaximal, characteristic, complemented
5#21450045C211yesmaximal, characteristic, complemented
6#21450038C211yesmaximal, characteristic, complemented
7#21450013C211yesmaximal, characteristic, complemented
8#21450006C211yesmaximal, characteristic, complemented
9#21449988C211yesmaximal, characteristic, complemented
10#21449981C211yesmaximal, characteristic, complemented
11#21449954C211yesmaximal, characteristic, complemented
12#21449947C211yesmaximal, characteristic, complemented
13#21449926C211yesmaximal, characteristic, complemented
14#21449919C211yesmaximal, characteristic, complemented
15#21449634C211yesmaximal, characteristic, complemented
16#21449361C211yesmaximal, characteristic
17#21449275C211yesmaximal, characteristic, complemented
18#21449096C211yesmaximal, characteristic, complemented
19#21449084C211yesmaximal, characteristic, complemented
20#21449081C211yesmaximal, characteristic, complemented
21#21449058C211yesmaximal, characteristic, complemented
22#21448351C211yesmaximal, characteristic, complemented
23#121×Dic61C211yesmaximal, characteristic, complemented
24#21448324C211yesmaximal, characteristic, complemented
25#21448324C211yesmaximal, characteristic, complemented
26#21448311C211yesmaximal, characteristic, complemented
27#21448279C211yesmaximal, characteristic, complemented
28#21448259C211yesmaximal, characteristic, complemented
29#21448255C211yesmaximal, characteristic, complemented
30C4×D4×Dic61C211yesmaximal, characteristic, complemented
31C61×#2443C211yesmaximal, characteristic, complemented
32C23×C4×D61C2211yescharacteristic
33#16840289—28no—
34C2×#14519772C2211yescharacteristic
35C2×#14519770C2211yescharacteristic, complemented
36C2×#14519767C2211yescharacteristic, complemented
37C2×#14519763C2211yescharacteristic
38C2×#14519760C2211yescharacteristic
39C2×#14519754C2211yescharacteristic
40C2×#14519754C2211yescharacteristic, complemented
41C2×#14519749C2211yescharacteristic
42C2×#14519745C2211yescharacteristic
43C2×#14519745C2211yescharacteristic
44C2×#14519742C2211yescharacteristic, complemented
45C2×D4×Dic61C2211yescharacteristic
46C2×D4×Dic61C2211yescharacteristic
47C2×D4×Dic61C2211yescharacteristic
48C2×D4×Dic61C2211yescharacteristic, complemented
49C2×#14519737C2211yescharacteristic
50C2×#14519737C2211yescharacteristic
51C2×#14519737C2211yescharacteristic
52C2×#14519737C2211yescharacteristic
53C2×#14519735—28no—
54C2×#14519735C2211yescharacteristic
55C2×#14519735C2211yescharacteristic
56C2×#14519735C2211yescharacteristic
57C2×#14519735C2211yescharacteristic
58C2×#14519735C2211yescharacteristic
59C2×#14519735C2211yescharacteristic
60C2×#14519735C2211yescharacteristic
61C2×#14519735C2211yescharacteristic
62C2×#14519733C2211yescharacteristic, complemented
63C22×C4⋊Dic61C2211yescharacteristic
64C22×#11758198C2211yescharacteristic
65C22×#11758198C2211yescharacteristic
66C22×C4×Dic61C2211yescharacteristic
67C22×C4×Dic61C2211yescharacteristic
68C22×C4×Dic61C2211yescharacteristic, complemented
69#16839704C2211yescharacteristic, complemented
70#16839702C2211yescharacteristic, complemented
71#16839700C2211yescharacteristic, complemented
72#16839698C2211yescharacteristic, complemented
73#16839697C2211yescharacteristic
74#16839695C2211yescharacteristic, complemented
75#16839694C2211yescharacteristic, complemented
76#16839693C2211yescharacteristic, complemented
77#16839692C2211yescharacteristic, complemented
78#16839691C2211yescharacteristic
79#16839691C2211yescharacteristic
80#16839689C2211yescharacteristic
81#16839688C2211yescharacteristic
82#16839688C2211yescharacteristic
83#16839687C2211yescharacteristic, complemented
84#16839685C2211yescharacteristic, complemented
85#16839685C2211yescharacteristic, complemented
86#16839684C2211yescharacteristic
87#16839684C2211yescharacteristic
88#16839683C2211yescharacteristic, complemented
89#16839678C2211yescharacteristic
90#16839678C2211yescharacteristic
91#16839677C2211yescharacteristic
92#16839677C2211yescharacteristic
93#16839677C2211yescharacteristic
94#16839677C2211yescharacteristic
95#16839675C2211yescharacteristic
96#16839670C2211yescharacteristic
97#16839666C2211yescharacteristic, complemented
98#16839665C2211yescharacteristic, complemented
99#16839662C2211yescharacteristic
100#16839662C2211yescharacteristic
101#16839661C2211yescharacteristic, complemented
102#16839659C2211yescharacteristic, complemented
103#16839657C2211yescharacteristic, complemented
104#16839657C2211yescharacteristic, complemented
105#16839656C2211yescharacteristic, complemented
106#16839655C2211yescharacteristic, complemented
107#16839655C2211yescharacteristic, complemented
108#16839655C2211yescharacteristic, complemented
109#16839654C2211yescharacteristic
110#16839654C2211yescharacteristic
111#16839653C2211yescharacteristic
112#16839653C2211yescharacteristic
113#16839652C2211yescharacteristic
114#16839652C2211yescharacteristic
115#16839651C2211yescharacteristic
116#16839651C2211yescharacteristic
117#16839650C2211yescharacteristic, complemented
118#16839649C2211yescharacteristic, complemented
119#16839648C2211yescharacteristic, complemented
120#16839647C2211yescharacteristic, complemented
121#16839647C2211yescharacteristic, complemented
122#16839647C2211yescharacteristic, complemented
123#16839645C2211yescharacteristic, complemented
124#16839645C2211yescharacteristic, complemented
125#16839643C2211yescharacteristic, complemented
126#16839643C2211yescharacteristic, complemented
127#16839642C2211yescharacteristic
128#16839642C2211yescharacteristic
129#16839642C2211yescharacteristic
130#16839641C2211yescharacteristic
131#16839639C2211yescharacteristic
132#16839638C2211yescharacteristic
133#16839638C2211yescharacteristic
134#16839638C2211yescharacteristic
135#16839638C2211yescharacteristic
136#16839637C2211yescharacteristic, complemented
137#16839636C2211yescharacteristic
138#16839636C2211yescharacteristic
139#16839636C2211yescharacteristic
140#16839636C2211yescharacteristic
141#16839635C2211yescharacteristic
142#16839635C2211yescharacteristic
143#16839635C2211yescharacteristic
144#16839635C2211yescharacteristic
145#16839634C2211yescharacteristic
146#16839622C2211yescharacteristic
147#16839620C2211yescharacteristic
148#16839617C2211yescharacteristic
149#16839617C2211yescharacteristic
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, complemented
162C22⋊C4×Dic61C2211yescharacteristic, complemented
163C22⋊C4×Dic61C2211yescharacteristic, complemented
164C22⋊C4×Dic61C2211yescharacteristic, complemented
165C22⋊C4×Dic61C2211yescharacteristic, complemented
166C4×C22⋊Dic61C2211yescharacteristic
167C4×C22⋊Dic61C2211yescharacteristic, complemented
168#16839609C2211yescharacteristic
169#16839609C2211yescharacteristic
170#16839609C2211yescharacteristic
171#16839609C2211yescharacteristic
172#16839607C2211yescharacteristic, complemented
173C42×Dic61C2211yescharacteristic, complemented
174C2×#123×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic
176C2×C4×D4×C61C2211yescharacteristic
177C22×C4⋊C4×C61C2211yescharacteristic
178C61×#399C2211yescharacteristic, complemented
179C61×#398C2211yescharacteristic, complemented
180C61×#397C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic, complemented
183C61×#387C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#386C2211yescharacteristic
187C61×#385C2211yescharacteristic
188C61×#385C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C23×Dic61C2311yescharacteristic
196C23×Dic61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C22×C4×D61—24no—
202C22×C4×D61—24no—
203C22×C4×D61—24no—
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208#14519772—24no—
209#14519770—24no—
210#14519767—24no—
211#14519763—24no—
212#14519760—24no—
213#14519754—24no—
214#14519754—24no—
215#14519749—24no—
216#14519745—24no—
217#14519745—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#14519735—24no—
229#14519735—24no—
230#14519735—24no—
231#14519735—24no—
232#14519735—24no—
233#14519735—24no—
234#14519735D418yescomplemented
235#14519733—24no—
236C2×C4⋊Dic61—24no—
237C2×C4⋊Dic61C2311yescharacteristic
238C2×C4⋊Dic61C2311yescharacteristic
239C2×C4⋊Dic61C2311yescharacteristic
240C2×C4⋊Dic61C2311yescharacteristic
241C2×C4⋊Dic61C2311yescharacteristic
242C2×C4⋊Dic61C2311yescharacteristic
243C2×C4⋊Dic61C2311yescharacteristic
244C2×C4⋊Dic61C2311yescharacteristic
245C2×C4⋊Dic61C2311yescharacteristic
246C2×C4⋊Dic61C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
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×#11758198—24no—
275C2×#11758198—24no—
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×C4×Dic61—24no—
297C2×C4×Dic61—24no—
298C2×C4×Dic61—24no—
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
316C2×C4×Dic61C2311yescharacteristic
317C2×C4×Dic61C2311yescharacteristic
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
346C22×D4×C61C2311yescharacteristic
347C22×D4×C61C2311yescharacteristic
348C22×D4×C61C2311yescharacteristic
349C23×C4×C61C2311yescharacteristic
350C23×C4×C61C2311yescharacteristic
351C23×C4×C61C2311yescharacteristic
352C23×C4×C61C2311yescharacteristic
353#123×C61—24no—
354#121×C61—24no—
355C4×D4×C61—24no—
356C2×C4⋊C4×C61—24no—
357C2×C4⋊C4×C61C2311yescharacteristic
358C2×C4⋊C4×C61C2311yescharacteristic
359C2×C4⋊C4×C61C2311yescharacteristic
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊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×C42×C61C2311yescharacteristic
377#95×C61C2311yescharacteristic
378#95×C61C2311yescharacteristic
379#95×C61C2311yescharacteristic
380#95×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382#95×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385C24×C61C2411yescharacteristic
386C24×C61C2411yescharacteristic
387C24×C61C2411yescharacteristic
388C23×D61—22no—
389C23×D61—22no—
390C23×D61—22no—
391C23×D61—22no—
392C23×D61—22no—
393C23×D61—41no—
394C23×D61—41no—
395C23×D61C2411yescharacteristic
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—22no—
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—22no—
413C22×C4×C61—22no—
414C22×C4×C61—22no—
415C22×C4×C61—41no—
416C22×C4×C61—41no—
417C22×C4×C61—41no—
418C22×C4×C61C2411yescharacteristic
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
430C2×C22⋊D61—22no—
431C2×C22⋊D61—22no—
432C2×C22⋊D61—22no—
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—41no—
439C2×C22⋊D61—41no—
440C2×C22⋊D61—41no—
441C2×C22⋊D61—41no—
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—41no—
457C22×Dic61—41no—
458C22×Dic61—41no—
459C22×Dic61#4114yes—
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C2×C4×D61—232no—
475C2×C4×D61—22no—
476C2×C4×D61—22no—
477C2×C4×D61—22no—
478C2×C4×D61—22no—
479C2×C4×D61—22no—
480C2×C4×D61—22no—
481C2×C4×D61—22no—
482C2×C4×D61—22no—
483C2×C4×D61—22no—
484C2×C4×D61—22no—
485C2×C4×D61C2×D414yes—
486C2×C4×D61#4114yes—
487C2×Dic122—22no—
488C2×Dic122—22no—
489C2×Dic122—41no—
490C4⋊C4×C61—22no—
491C4⋊C4×C61—22no—
492C4⋊C4×C61—22no—
493C4⋊C4×C61—22no—
494C4⋊C4×C61—22no—
495C4⋊C4×C61—22no—
496C4⋊C4×C61—41no—
497C4⋊C4×C61C2×D414yes—
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—22no—
508C22⋊C4×C61—41no—
509C42×C61—22no—
510C22⋊Dic61—22no—
511C22⋊Dic61—22no—
512C22⋊Dic61—22no—
513C22⋊Dic61—22no—
514C22⋊Dic61—22no—
515C22⋊Dic61—22no—
516C22⋊Dic61—22no—
517C22⋊Dic61—22no—
518C22⋊Dic61—22no—
519C22⋊Dic61—41no—
520C22⋊Dic61—41no—
521C22⋊Dic61—41no—
522C22⋊Dic61#4114yes—
523#11758198—22no—
524#11758198—22no—
525#11758198—22no—
526#11758198—22no—
527#11758198—22no—
528#11758198—22no—
529#11758198—22no—
530#11758198—22no—
531#11758198—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—
540#11758198—41no—
541#11758198C2×D414yes—
542#11758198C2×D414yes—
543C4⋊Dic61—22no—
544C4⋊Dic61—22no—
545C4⋊Dic61—22no—
546C4⋊Dic61—22no—
547C4⋊Dic61—22no—
548C4⋊Dic61—22no—
549C4⋊Dic61—22no—
550C4⋊Dic61—22no—
551C4⋊Dic61—41no—
552C4⋊Dic61C2×D414yes—
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—22no—
563#11758196—41no—
564#11758196—41no—
565#11758196—41no—
566#11758196—41no—
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—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61C2×#4112yes—
604C23×C61C2×#4112yes—
605C23×C61C2×#4112yes—
606C23×C61C2×#4112yes—
607C23×C61C2511yescharacteristic
608C22×D61—28no—
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—44no—
622C22×D61—44no—
623C22×D61—44no—
624C22×D61—44no—
625C22×D61—44no—
626C22×D61—44no—
627C22×D61C22×D412yes—
628C22×D61C2×#4112yes—
629D4×C61—28no—
630D4×C61—44no—
631D4×C61—44no—
632C2×C4×C61—28no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—44no—
665C2×C4×C61—44no—
666C2×C4×C61—44no—
667C2×C4×C61C22×D412yes—
668C2×C4×C61C22×D412yes—
669C2×C4×C61C22×D412yes—
670C2×C4×C61C2×#4112yes—
671C2×C4×C61C2×#4112yes—
672C22⋊D61—44no—
673C22⋊D61—44no—
674C22⋊D61—44no—
675C22⋊D61—44no—
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—28no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—44no—
712C2×Dic61—44no—
713C2×Dic61—44no—
714C2×Dic61—44no—
715C2×Dic61—44no—
716C2×Dic61C22×D412yes—
717C2×Dic61C22×D412yes—
718C2×Dic61C22×D412yes—
719C2×Dic61C2×#4112yes—
720C2×Dic61C2×#4112yes—
721C2×Dic61C2×#4112yes—
722C2×Dic61C2×#4112yes—
723C2×Dic61C2×#4112yes—
724C4×D61—28no—
725C4×D61—28no—
726C4×D61—28no—
727C4×D61—28no—
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—41no—
740C22×C61—41no—
741C22×C61—41no—
742C22×C61—41no—
743C22×C61—41no—
744C22×C61—41no—
745C22×C61—41no—
746C22×C61—41no—
747C22×C61—41no—
748C22×C61—41no—
749C22×C61—41no—
750C22×C61#52914yescomplemented
751C22×C61C23×D411yescharacteristic
752C22×C61C22×#4111yescharacteristic
753C22×C61C22×#4111yescharacteristic
754C22×C61C22×#4111yescharacteristic
755C22×C61C22×#4111yescharacteristic
756C22×C61#58511yescharacteristic
757C22×C61#58511yescharacteristic
758C2×D61—22no—
759C2×D61—22no—
760C2×D61—22no—
761C2×D61—22no—
762C2×D61—22no—
763C2×D61—22no—
764C2×D61—416no—
765C2×D61—41no—
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—22no—
777C4×C61—22no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785Dic61—22no—
786Dic61—22no—
787Dic61—22no—
788Dic61—22no—
789Dic61—22no—
790Dic61—41no—
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#2443D6111yescharacteristic, complemented
815#2424—611no—
816#2418—611no—
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—81no—
833C2×C61C2×#52511yescharacteristic
834C2×C61C2×#52911yescharacteristic
835C2×C61#345511yescharacteristic
836C2×C61D4×#4111yescharacteristic
837C2×C61D4×#4111yescharacteristic
838C2×C61#347511yescharacteristic
839C2×C61#347511yescharacteristic
840D61—42no—
841D61—42no—
842C24×C4—611no—
843#529—1228no—
844C2×#126—611no—
845C2×#126—611no—
846C2×#125—611no—
847C2×#124—611no—
848C2×#123—611no—
849C2×#123C2×D6111yescharacteristic, complemented
850C2×C22⋊Q8—611no—
851C2×C22⋊Q8—611no—
852C2×#121—611no—
853C2×#121C2×D6111yescharacteristic
854C2×#120—611no—
855C2×#120—611no—
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⋊C4C2×D6111yescharacteristic
878C22×C22⋊C4—611no—
879C22×C22⋊C4—611no—
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, complemented
889#398—611no—
890#398—611no—
891#398—611no—
892#398—611no—
893#398C2×D6111yescharacteristic, complemented
894#397—611no—
895#397—611no—
896#397—611no—
897#397—611no—
898#397—611no—
899#397—611no—
900#397C2×D6111yescharacteristic, complemented
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#394—611no—
912#394C2×D6111yescharacteristic, complemented
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#388—611no—
936#388C2×D6111yescharacteristic, complemented
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#387C2×D6111yescharacteristic, complemented
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#386C2×D6111yescharacteristic
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#385C2×D6111yescharacteristic
970#385C2×D6111yescharacteristic, complemented
971#380—611no—
972#380—611no—
973#379—611no—
974#379—611no—
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
1000C25—611no—
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—1224no—
1020C23×C4—1224no—
1021C23×C4—1224no—
1022C23×C4C22×D6111yescharacteristic
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—24no—
1035#121—1224no—
1036#120—1224no—
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—24no—
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—1224no—
1083C2×C4⋊C4C22×D6111yescharacteristic
1084C2×C4⋊C4C22×D6111yescharacteristic
1085C2×C4⋊C4C22×D6111yescharacteristic
1086C2×C4⋊C4C22×D6111yescharacteristic
1087C2×C4⋊C4C22×D6111yescharacteristic
1088C2×C4⋊C4C22×D6111yescharacteristic
1089C2×C4⋊C4C22×D6111yescharacteristic
1090C2×C4⋊C4C22×D6111yescharacteristic
1091C2×C22⋊C4—611no—
1092C2×C22⋊C4—611no—
1093C2×C22⋊C4—611no—
1094C2×C22⋊C4—611no—
1095C2×C22⋊C4—611no—
1096C2×C22⋊C4—611no—
1097C2×C22⋊C4—611no—
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—611no—
1100C2×C22⋊C4—611no—
1101C2×C22⋊C4—611no—
1102C2×C22⋊C4—611no—
1103C2×C22⋊C4—611no—
1104C2×C22⋊C4—611no—
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—611no—
1121C2×C22⋊C4—611no—
1122C2×C22⋊C4—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—1224no—
1125C2×C22⋊C4—1224no—
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#95C22×D6111yescharacteristic
1189#95C22×D6111yescharacteristic
1190#95C22×D6111yescharacteristic
1191#95C22×D6111yescharacteristic
1192#95C22×D6111yescharacteristic
1193#95C22×D6111yescharacteristic
1194#95C22×D6111yescharacteristic
1195#95C22×D6111yescharacteristic
1196C24—611no—
1197C24—611no—
1198C24—1222no—
1199C24—1222no—
1200C24—1222no—
1201C24—1222no—
1202C24—1222no—
1203C24—2441no—
1204C24—2441no—
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—22no—
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—2441no—
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—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—611no—
1245C22×C4—614no—
1246C22×C4—611no—
1247C22×C4—611no—
1248C22×C4—611no—
1249C22×C4—611no—
1250C22×C4—611no—
1251C22×C4—614no—
1252C22×C4—614no—
1253C22×C4—611no—
1254C22×C4—611no—
1255C22×C4—611no—
1256C22×C4—611no—
1257C22×C4—611no—
1258C22×C4—611no—
1259C22×C4—611no—
1260C22×C4—611no—
1261C22×C4—1222no—
1262C22×C4—1222no—
1263C22×C4—1222no—
1264C22×C4—1222no—
1265C22×C4—1222no—
1266C22×C4—1222no—
1267C22×C4—1222no—
1268C22×C4—1222no—
1269C22×C4—12232no—
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—1222no—
1282C22×C4—1222no—
1283C22×C4—1222no—
1284C22×C4—1222no—
1285C22×C4—1222no—
1286C22×C4—2441no—
1287C22×C4—2441no—
1288C22×C4—2441no—
1289C22×C4C23×D6111yescharacteristic
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—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—614no—
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—2441no—
1328C4⋊C4—2441no—
1329C4⋊C4—2441no—
1330C4⋊C4—2441no—
1331C4⋊C4—2441no—
1332C4⋊C4D4×D6114yes—
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—41no—
1344C22⋊C4—614no—
1345C22⋊C4—614no—
1346C22⋊C4—614no—
1347C22⋊C4—1222no—
1348C22⋊C4—1222no—
1349C22⋊C4—1222no—
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—2441no—
1371C22⋊C4—2441no—
1372C22⋊C4—2441no—
1373C22⋊C4—2441no—
1374C22⋊C4—2441no—
1375C22⋊C4—2441no—
1376C22⋊C4—2441no—
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—21no—
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—612no—
1415C23—612no—
1416C23—1228no—
1417C23—1221no—
1418C23—1221no—
1419C23—1221no—
1420C23—1221no—
1421C23—1221no—
1422C23—1221no—
1423C23—1221no—
1424C23—1221no—
1425C23—1221no—
1426C23—1221no—
1427C23—1221no—
1428C23—1221no—
1429C23—2444no—
1430C23—2444no—
1431C23—2444no—
1432C23—2444no—
1433C23—2444no—
1434C23—2444no—
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—28no—
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—21no—
1479C2×C4—21no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
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—1221no—
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—2444no—
1531C2×C4—2444no—
1532C2×C4—2444no—
1533C2×C4—2444no—
1534C2×C4—2444no—
1535C2×C4C2×D4×D6112yes—
1536C2×C4C2×D4×D6112yes—
1537C2×C4C2×D4×D6112yes—
1538C2×C4#41×D6112yes—
1539C2×C4C2×#1175822412yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—1222no—
1561C22—1222no—
1562C22—1222no—
1563C22—1222no—
1564C22—1222no—
1565C22—1222no—
1566C22—24416no—
1567C22—2441no—
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#1684059911yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—614no—
1596C4—1222no—
1597C4—1222no—
1598C4—1222no—
1599C4—1222no—
1600C4—1222no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C4—2441no—
1608C4—2441no—
1609C2—24no—
1610C2—42no—
1611C2—81no—
1612C2—2442no—
1613C2—2442no—
1614C2#525×D6111yescharacteristic
1615C2C2×#1684028911yescharacteristic
1616C2#2145920511yescharacteristic
1617C2D4×#1175822411yescharacteristic
1618C2#2145930811yescharacteristic
1619C2#2145937811yescharacteristic
1620C2#2145938211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2443C2
prime radical#21449361C2
hypercenter#2443D61
hypocenterC61#34740
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. C2×#16840289C2semidirect
2. C22×#14519735C2semidirect
3. #21450079C2semidirect
4. #21450072C2semidirect
5. #21450045C2semidirect
6. #21450038C2semidirect
7. #21450013C2semidirect
8. #21450006C2semidirect
9. #21449988C2semidirect
10. #21449981C2semidirect
11. #21449954C2semidirect
12. #21449947C2semidirect
13. #21449926C2semidirect
14. #21449919C2semidirect
15. #21449634C2semidirect
17. #21449275C2semidirect
18. #21449096C2semidirect
19. #21449084C2semidirect
20. #21449081C2semidirect
21. #21449058C2semidirect
22. #21448351C2semidirect
23. #121×Dic61C2semidirect
24. #21448324C2semidirect
25. #21448324C2semidirect
26. #21448311C2semidirect
27. #21448279C2semidirect
28. #21448259C2semidirect
29. #21448255C2semidirect
30. C4×D4×Dic61C2semidirect
31. C61×#2443C2semidirect
35. C2×#14519770C22semidirect
36. C2×#14519767C22semidirect
40. C2×#14519754C22semidirect
44. C2×#14519742C22semidirect
48. C2×D4×Dic61C22semidirect
62. C2×#14519733C22semidirect
68. C22×C4×Dic61C22semidirect
69. #16839704C22semidirect
70. #16839702C22semidirect
71. #16839700C22semidirect
72. #16839698C22semidirect
74. #16839695C22semidirect
75. #16839694C22semidirect
76. #16839693C22semidirect
77. #16839692C22semidirect
83. #16839687C22semidirect
84. #16839685C22semidirect
85. #16839685C22semidirect
88. #16839683C22semidirect
97. #16839666C22semidirect
98. #16839665C22semidirect
101. #16839661C22semidirect
102. #16839659C22semidirect
103. #16839657C22semidirect
104. #16839657C22semidirect
105. #16839656C22semidirect
106. #16839655C22semidirect
107. #16839655C22semidirect
108. #16839655C22semidirect
117. #16839650C22semidirect
118. #16839649C22semidirect
119. #16839648C22semidirect
120. #16839647C22semidirect
121. #16839647C22semidirect
122. #16839647C22semidirect
123. #16839645C22semidirect
124. #16839645C22semidirect
125. #16839643C22semidirect
126. #16839643C22semidirect
136. #16839637C22semidirect
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
161. C22⋊C4×Dic61C22semidirect
162. C22⋊C4×Dic61C22semidirect
163. C22⋊C4×Dic61C22semidirect
164. C22⋊C4×Dic61C22semidirect
165. C22⋊C4×Dic61C22semidirect
167. C4×C22⋊Dic61C22semidirect
172. #16839607C22semidirect
173. C42×Dic61C22semidirect
174. C2×#123×C61C22semidirect
178. C61×#399C22semidirect
179. C61×#398C22semidirect
180. C61×#397C22semidirect
181. C61×#394C22semidirect
182. C61×#388C22semidirect
183. C61×#387C22semidirect
188. C61×#385C22semidirect
234. #14519735D4semidirect
750. C22×C61#529semidirect
814. #2443D61semidirect
849. C2×#123C2×D61semidirect
888. #399C2×D61semidirect
893. #398C2×D61semidirect
900. #397C2×D61semidirect
912. #394C2×D61semidirect
936. #388C2×D61semidirect
946. #387C2×D61semidirect
970. #385C2×D61semidirect
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×#145197352
#214500792
#214500722
#214500452
#214500382
#214500132
#214500062
#214499882
#214499812
#214499542
#214499472
#214499262
#214499192
#214496342
#214493612
#214492752
#214490962
#214490842
#214490812
#214490582
#214483512
#121×Dic612
#214483242
#214483112
#214482792
#214482592
#214482552
C4×D4×Dic612
C61×#24432
#3474061