Finite Group Databasebeta

← #29838956

Subgroups — #29838956

Order 15616.

2714 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840270C211yesmaximal, characteristic
2#21448613C211yesmaximal, characteristic, complemented
3#21448609C211yesmaximal, characteristic, complemented
4#21448605C211yesmaximal, characteristic, complemented
5#21448582C211yesmaximal, characteristic, complemented
6#21448579C211yesmaximal, characteristic, complemented
7#21448573C211yesmaximal, characteristic, complemented
8#21448570C211yesmaximal, characteristic, complemented
9#21448553C211yesmaximal, characteristic, complemented
10#21448546C211yesmaximal, characteristic, complemented
11#21448523C211yesmaximal, characteristic, complemented
12#21448516C211yesmaximal, characteristic, complemented
13#21448481C211yesmaximal, characteristic, complemented
14#21448478C211yesmaximal, characteristic, complemented
15#21448475C211yesmaximal, characteristic, complemented
16#21448472C211yesmaximal, characteristic, complemented
17#21448313C211yesmaximal, characteristic, complemented
18#21448313C211yesmaximal, characteristic, complemented
19#21448306C211yesmaximal, characteristic, complemented
20#21448304C211yesmaximal, characteristic, complemented
21#21448279C211yesmaximal, characteristic, complemented
22#21448277C211yesmaximal, characteristic, complemented
23#21448261C211yesmaximal, characteristic, complemented
24#21448257C211yesmaximal, characteristic, complemented
25#21448257C211yesmaximal, characteristic, complemented
26#21448255C211yesmaximal, characteristic, complemented
27#21448201C211yesmaximal, characteristic, complemented
28C4×#14519739C211yesmaximal, characteristic, complemented
29C4×#14519737C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D61C211yesmaximal, characteristic, complemented
31C61×#2335C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34#16840270C4116yescomplemented
35C2×#14519760C2211yescharacteristic
36C2×#14519755C2211yescharacteristic
37C2×#14519755C2211yescharacteristic
38C2×#14519750C2211yescharacteristic
39C2×#14519750C2211yescharacteristic
40C2×#14519747C2211yescharacteristic
41C2×#14519745C2211yescharacteristic
42C2×C4×D244C2211yescharacteristic
43C2×#14519739C2211yescharacteristic
44C2×#14519739C2211yescharacteristic
45C2×#14519739C2211yescharacteristic
46C2×C4×C22⋊D61C2211yescharacteristic
47C2×#14519737C2211yescharacteristic
48C2×#14519737C2211yescharacteristic
49C2×#14519737C2211yescharacteristic
50C2×#14519735C2211yescharacteristic
51C2×#14519735C2211yescharacteristic
52C2×#14519735C2211yescharacteristic, complemented
53C2×#14519733C2211yescharacteristic
54C2×#14519733C2211yescharacteristic, complemented
55C2×C22⋊C4×D61C2211yescharacteristic
56C2×C22⋊C4×D61C2211yescharacteristic
57C22×C4×Dic61C2211yescharacteristic, complemented
58C2×C42×D61C2211yescharacteristic
59C2×C42×D61C2211yescharacteristic
60C2×C42×D61C2211yescharacteristic, complemented
61#16839668C2211yescharacteristic, complemented
62#16839667C2211yescharacteristic, complemented
63#16839666C2211yescharacteristic, complemented
64#16839666C2211yescharacteristic, complemented
65#16839665C2211yescharacteristic
66#16839664C2211yescharacteristic
67#16839663C2211yescharacteristic
68#16839662C2211yescharacteristic
69#16839662C2211yescharacteristic
70#16839662C2211yescharacteristic
71#16839662C2211yescharacteristic
72#16839661C2211yescharacteristic, complemented
73#16839659C2211yescharacteristic, complemented
74#16839657C2211yescharacteristic, complemented
75#16839656C2211yescharacteristic
76#16839656C2211yescharacteristic
77#16839655C2211yescharacteristic
78#16839655C2211yescharacteristic
79#16839655C2211yescharacteristic, complemented
80#16839655C2211yescharacteristic, complemented
81#16839654C2211yescharacteristic
82#16839654C2211yescharacteristic
83#16839654C2211yescharacteristic, complemented
84#16839653C2211yescharacteristic
85#16839653C2211yescharacteristic
86#16839653C2211yescharacteristic, complemented
87#16839652C2211yescharacteristic
88#16839652C2211yescharacteristic
89#16839652C2211yescharacteristic, complemented
90#16839651C2211yescharacteristic
91#16839651C2211yescharacteristic
92#16839651C2211yescharacteristic, complemented
93#16839650C2211yescharacteristic
94#16839650C2211yescharacteristic
95#16839649C2211yescharacteristic, complemented
96#16839649C2211yescharacteristic, complemented
97#16839649C2211yescharacteristic, complemented
98#16839648C2211yescharacteristic, complemented
99#16839648C2211yescharacteristic, complemented
100#16839646C2211yescharacteristic, complemented
101#16839646C2211yescharacteristic, complemented
102#16839646C2211yescharacteristic, complemented
103#16839644C2211yescharacteristic, complemented
104#16839644C2211yescharacteristic, complemented
105#16839644C2211yescharacteristic, complemented
106#16839643C2211yescharacteristic, complemented
107#16839643C2211yescharacteristic, complemented
108#16839643C2211yescharacteristic, complemented
109#16839642C2211yescharacteristic
110#16839641C2211yescharacteristic
111#16839641C2211yescharacteristic, complemented
112#16839640C2211yescharacteristic
113#16839640C2211yescharacteristic
114#16839640C2211yescharacteristic
115#16839640C2211yescharacteristic
116#16839639C2211yescharacteristic
117#16839639C2211yescharacteristic, complemented
118#16839638C2211yescharacteristic
119#16839638C2211yescharacteristic
120#16839638C2211yescharacteristic
121#16839638C2211yescharacteristic
122#16839638C2211yescharacteristic, complemented
123#16839638C2211yescharacteristic, complemented
124#16839637C2211yescharacteristic, complemented
125#16839636C2211yescharacteristic
126#16839636C2211yescharacteristic
127#16839636C2211yescharacteristic, complemented
128#16839633C2211yescharacteristic
129#16839633C2211yescharacteristic
130#16839633C2211yescharacteristic, complemented
131#16839624C2211yescharacteristic
132#16839624C2211yescharacteristic
133#16839622C2211yescharacteristic
134#16839619C2211yescharacteristic
135#16839619C2211yescharacteristic
136#16839617C2211yescharacteristic
137#16839617C2211yescharacteristic
138C4⋊C4×Dic61C2211yescharacteristic, complemented
139C4⋊C4×Dic61C2211yescharacteristic, complemented
140C4⋊C4×Dic61C2211yescharacteristic, complemented
141C4×#11758196C2211yescharacteristic, complemented
142#16839613C2211yescharacteristic, complemented
143#16839613C2211yescharacteristic, complemented
144#16839613C2211yescharacteristic, complemented
145C22⋊C4×Dic61C2211yescharacteristic
146C22⋊C4×Dic61C2211yescharacteristic
147C22⋊C4×Dic61C2211yescharacteristic
148C22⋊C4×Dic61C2211yescharacteristic
149C22⋊C4×Dic61C2211yescharacteristic, complemented
150C22⋊C4×Dic61C2211yescharacteristic, complemented
151C22⋊C4×Dic61C2211yescharacteristic, complemented
152C4×#11758198C2211yescharacteristic
153C4×#11758198C2211yescharacteristic
154C4×#11758198C2211yescharacteristic
155C4×#11758198C2211yescharacteristic
156C4×#11758198C2211yescharacteristic, complemented
157C4×C22⋊Dic61C2211yescharacteristic
158#16839609C2211yescharacteristic
159#16839609C2211yescharacteristic
160#16839609C2211yescharacteristic
161#16839609C2211yescharacteristic
162#16839609C2211yescharacteristic
163#16839609C2211yescharacteristic
164#16839609C2211yescharacteristic, complemented
165#16839609C2211yescharacteristic, complemented
166#16839609C2211yescharacteristic, complemented
167#16839607C2211yescharacteristic, complemented
168#16839607C2211yescharacteristic, complemented
169#95×D61C2211yescharacteristic
170#95×D61C2211yescharacteristic
171C42×Dic61C2211yescharacteristic, complemented
172C42×Dic61C2211yescharacteristic, complemented
173C2×#123×C61C2211yescharacteristic
174C61×#390C2211yescharacteristic
175C61×#389C2211yescharacteristic, complemented
176C61×#388C2211yescharacteristic
177C61×#388C2211yescharacteristic
178C61×#388C2211yescharacteristic, complemented
179C61×#388C2211yescharacteristic, complemented
180C61×#387C2211yescharacteristic, complemented
181C61×#387C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic
183C61×#385C2211yescharacteristic, complemented
184C61×#380C2211yescharacteristic
185C4×C4⋊C4×C61C2211yescharacteristic, complemented
186C4×C22⋊C4×C61C2211yescharacteristic
187C4×C22⋊C4×C61C2211yescharacteristic, complemented
188C24×D61C2311yescharacteristic
189C2×#11758224—42no—
190C2×#11758224—42no—
191C2×#11758224C2×C418yescomplemented
192C22×Dic122C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C22×C4×D61—42no—
203C22×C4×D61—42no—
204C22×C4×D61C2×C418yescomplemented
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216#14519760C2×C418yescomplemented
217#14519755C2×C418yescomplemented
218#14519755C2×C418yescomplemented
219#14519750C2×C418yes—
220#14519750C2×C418yescomplemented
221#14519747C2×C418yescomplemented
222#14519745C2×C418yescomplemented
223C4×D244—24no—
224#14519739—24no—
225#14519739C2×C418yescomplemented
226#14519739C2×C418yescomplemented
227C4×C22⋊D61—24no—
228#14519737—24no—
229#14519737C2×C418yescomplemented
230#14519737C2×C418yescomplemented
231#14519735—42no—
232#14519735—42no—
233#14519735—42no—
234#14519733—42no—
235#14519733C2×C418yescomplemented
236C2×C4⋊Dic61C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
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
283C22⋊C4×D61—24no—
284C22⋊C4×D61—24no—
285C2×C4×Dic61—42no—
286C2×C4×Dic61C2311yescharacteristic
287C2×C4×Dic61C2311yescharacteristic
288C2×C4×Dic61C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
291C2×C4×Dic61C2311yescharacteristic
292C2×C4×Dic61C2311yescharacteristic
293C2×C4×Dic61C2311yescharacteristic
294C2×C4×Dic61C2311yescharacteristic
295C2×C4×Dic61C2311yescharacteristic
296C2×C4×Dic61C2311yescharacteristic
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
307C42×D61—42no—
308C42×D61—42no—
309C42×D61—42no—
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340C22×D4×C61C2311yescharacteristic
341C23×C4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343#123×C61C2×C418yescomplemented
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C42×C61C2311yescharacteristic
362C2×C42×C61C2311yescharacteristic
363C2×C42×C61C2311yescharacteristic
364C2×C42×C61C2311yescharacteristic
365C2×C42×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C23×D61—22no—
379C23×D61—22no—
380C23×D61—41no—
381C23×D61—41no—
382C23×D61—41no—
383C23×D61—41no—
384C23×D61C22×C414yes—
385C23×D61C2411yescharacteristic
386C23×D61C2411yescharacteristic
387C23×D61C2411yescharacteristic
388C2×D4×C61—41no—
389C2×D4×C61—41no—
390C2×D4×C61C22×C414yes—
391C22×C4×C61—22no—
392C22×C4×C61—41no—
393C22×C4×C61—41no—
394C22×C4×C61—41no—
395C22×C4×C61—41no—
396C22×C4×C61C22×C414yes—
397C22×C4×C61C2411yescharacteristic
398C22×C4×C61C2411yescharacteristic
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
410C2×C22⋊D61—22no—
411C2×C22⋊D61—22no—
412C2×C22⋊D61—41no—
413C2×C22⋊D61—41no—
414C2×C22⋊D61—41no—
415C2×C22⋊D61—41no—
416C2×C22⋊D61—41no—
417C2×C22⋊D61—41no—
418C2×C22⋊D61C22×C414yes—
419C2×C22⋊D61C22×C414yes—
420C2×C22⋊D61C22×C414yes—
421C2×C22⋊D61C22×C414yes—
422C22×Dic61—22no—
423C22×Dic61—22no—
424C22×Dic61—22no—
425C22×Dic61—22no—
426C22×Dic61—22no—
427C22×Dic61—41no—
428C22×Dic61—41no—
429C22×Dic61C22×C414yes—
430C22×Dic61C22×C414yes—
431C22×Dic61C2411yescharacteristic
432C22×Dic61C2411yescharacteristic
433C22×Dic61C2411yescharacteristic
434C22×Dic61C2411yescharacteristic
435C22×Dic61C2411yescharacteristic
436C22×Dic61C2411yescharacteristic
437C22×Dic61C2411yescharacteristic
438C22×Dic61C2411yescharacteristic
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444#11758224—416no—
445C2×D244—22no—
446C2×D244—22no—
447C2×D244—41no—
448C2×D244—41no—
449C2×D244C22×C414yes—
450C2×D244C22×C414yes—
451C2×C4×D61—22no—
452C2×C4×D61—22no—
453C2×C4×D61—22no—
454C2×C4×D61—22no—
455C2×C4×D61—22no—
456C2×C4×D61—22no—
457C2×C4×D61—22no—
458C2×C4×D61—22no—
459C2×C4×D61—22no—
460C2×C4×D61—22no—
461C2×C4×D61—416no—
462C2×C4×D61—41no—
463C2×C4×D61—41no—
464C2×C4×D61—41no—
465C2×C4×D61—41no—
466C2×C4×D61—41no—
467C2×C4×D61—41no—
468C2×C4×D61—41no—
469C2×C4×D61—41no—
470C2×C4×D61—41no—
471C2×C4×D61—41no—
472C2×C4×D61—41no—
473C2×C4×D61—41no—
474C2×C4×D61—41no—
475C2×C4×D61—41no—
476C2×C4×D61—41no—
477C2×C4×D61—41no—
478C2×C4×D61C22×C414yes—
479C2×C4×D61C22×C414yes—
480C2×C4×D61C22×C414yes—
481C2×C4×D61C22×C414yes—
482C2×C4×D61C22×C414yes—
483C2×C4×D61#4114yescomplemented
484C2×C4×D61#4114yescomplemented
485C2×Dic122—41no—
486C2×Dic122—41no—
487C2×Dic122C22×C414yes—
488C4⋊C4×C61—22no—
489C4⋊C4×C61—41no—
490C4⋊C4×C61—41no—
491C4⋊C4×C61—41no—
492C4⋊C4×C61—41no—
493C4⋊C4×C61C22×C414yes—
494C4⋊C4×C61C22×C414yes—
495C22⋊C4×C61—22no—
496C22⋊C4×C61—22no—
497C22⋊C4×C61—22no—
498C22⋊C4×C61—41no—
499C22⋊C4×C61—41no—
500C22⋊C4×C61—41no—
501C22⋊C4×C61—41no—
502C22⋊C4×C61C22×C414yes—
503C22⋊C4×C61C22×C414yes—
504C22⋊C4×C61C22×C414yes—
505C42×C61—22no—
506C42×C61—41no—
507C42×C61—41no—
508C42×C61—41no—
509C42×C61—41no—
510C22⋊Dic61—22no—
511C22⋊Dic61—22no—
512C22⋊Dic61—22no—
513C22⋊Dic61—41no—
514C22⋊Dic61—41no—
515C22⋊Dic61—41no—
516C22⋊Dic61—41no—
517C22⋊Dic61C22×C414yes—
518#11758198—22no—
519#11758198—22no—
520#11758198—22no—
521#11758198—22no—
522#11758198—22no—
523#11758198—22no—
524#11758198—22no—
525#11758198—22no—
526#11758198—22no—
527#11758198—22no—
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#11758198C22×C414yes—
537#11758198C22×C414yes—
538#11758198C22×C414yes—
539#11758198C22×C414yes—
540#11758198C22×C414yes—
541#11758198C22×C414yes—
542C4⋊Dic61—22no—
543C4⋊Dic61—41no—
544C4⋊Dic61—41no—
545C4⋊Dic61—41no—
546C4⋊Dic61—41no—
547#11758196—22no—
548#11758196—22no—
549#11758196—41no—
550#11758196—41no—
551#11758196—41no—
552#11758196—41no—
553#11758196C22×C414yes—
554#11758196C22×C414yes—
555#11758196C22×C414yes—
556#11758196C22×C414yes—
557C4×Dic61—22no—
558C4×Dic61—22no—
559C4×Dic61—22no—
560C4×Dic61—22no—
561C4×Dic61—22no—
562C4×Dic61—22no—
563C4×Dic61—22no—
564C4×Dic61—22no—
565C4×Dic61—22no—
566C4×Dic61—22no—
567C4×Dic61—22no—
568C4×Dic61—41no—
569C4×Dic61—41no—
570C4×Dic61—41no—
571C4×Dic61—41no—
572C4×Dic61—41no—
573C4×Dic61—41no—
574C4×Dic61—41no—
575C4×Dic61—41no—
576C4×Dic61C22×C414yes—
577C4×Dic61C22×C414yes—
578C23×C61—21no—
579C23×C61—21no—
580C23×C61—21no—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61C23×C412yes—
591C23×C61C23×C412yes—
592C23×C61C2511yescharacteristic
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—28no—
610C22×D61—44no—
611C22×D61—44no—
612C22×D61—44no—
613C22×D61—44no—
614C22×D61—44no—
615C22×D61—44no—
616C22×D61C23×C412yes—
617C22×D61C23×C412yes—
618C22×D61C23×C412yes—
619C22×D61C2×#4112yes—
620C22×D61C2×#4112yes—
621D4×C61—44no—
622C2×C4×C61—21no—
623C2×C4×C61—21no—
624C2×C4×C61—21no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—44no—
655C2×C4×C61—44no—
656C2×C4×C61C23×C412yes—
657C2×C4×C61C23×C412yes—
658C2×C4×C61C23×C412yes—
659C2×C4×C61C23×C412yes—
660C2×C4×C61C23×C412yes—
661C2×C4×C61C2×#4112yes—
662C2×C4×C61C2×#4112yes—
663C22⋊D61—28no—
664C22⋊D61—44no—
665C22⋊D61—44no—
666C22⋊D61—44no—
667C2×Dic61—21no—
668C2×Dic61—21no—
669C2×Dic61—21no—
670C2×Dic61—21no—
671C2×Dic61—21no—
672C2×Dic61—21no—
673C2×Dic61—21no—
674C2×Dic61—21no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—28no—
680C2×Dic61—28no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—44no—
700C2×Dic61C23×C412yes—
701C2×Dic61C23×C412yes—
702C2×Dic61C23×C412yes—
703C2×Dic61C23×C412yes—
704C2×Dic61C23×C412yes—
705C2×Dic61C2×#4112yes—
706C2×Dic61C2×#4112yes—
707C2×Dic61H(5,𝔽2)12yes—
708C2×Dic61H(5,𝔽2)12yes—
709D244—28no—
710D244—44no—
711C4×D61—28no—
712C4×D61—28no—
713C4×D61—28no—
714C4×D61—44no—
715C4×D61—44no—
716C4×D61—44no—
717C4×D61—44no—
718C4×D61—44no—
719C4×D61—44no—
720C4×D61—44no—
721C4×D61—44no—
722Dic122—44no—
723#34082—611nomaximal, Sylow
724C22×C61—22no—
725C22×C61—22no—
726C22×C61—22no—
727C22×C61—22no—
728C22×C61—22no—
729C22×C61—22no—
730C22×C61—41no—
731C22×C61—41no—
732C22×C61—41no—
733C22×C61—41no—
734C22×C61—41no—
735C22×C61—41no—
736C22×C61—41no—
737C22×C61—41no—
738C22×C61C24×C411yescharacteristic
739C22×C61C22×#4111yescharacteristic
740C22×C61C22×#4111yescharacteristic
741C22×C61C2×H(5,𝔽2)11yescharacteristic
742C22×C61C2×H(5,𝔽2)11yescharacteristic
743C22×C61#58511yescharacteristic
744C22×C61#58511yescharacteristic
745C2×D61—22no—
746C2×D61—22no—
747C2×D61—22no—
748C2×D61—22no—
749C2×D61—22no—
750C2×D61—22no—
751C2×D61—22no—
752C2×D61—22no—
753C2×D61—22no—
754C2×D61—22no—
755C2×D61—22no—
756C2×D61—22no—
757C2×D61—416no—
758C2×D61—41no—
759C2×D61—41no—
760C2×D61—41no—
761C2×D61—41no—
762C2×D61—41no—
763C2×D61—41no—
764C2×D61—41no—
765C2×D61—41no—
766C2×D61C4×#4114yes—
767C4×C61—22no—
768C4×C61—22no—
769C4×C61—22no—
770C4×C61—22no—
771C4×C61—22no—
772C4×C61—22no—
773C4×C61—22no—
774C4×C61—41no—
775C4×C61—41no—
776C4×C61—41no—
777C4×C61—41no—
778C4×C61—41no—
779C4×C61—41no—
780Dic61—22no—
781Dic61—22no—
782Dic61—22no—
783Dic61—22no—
784Dic61—22no—
785Dic61—22no—
786Dic61—41no—
787Dic61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61#51814yes—
793C2×#525—611no—
794#2335—611no—
795#2335—611no—
796#2335—611no—
797#2335D6111yescharacteristic, complemented
798#2333—611no—
799#2333—611no—
800#2332—611no—
801#2332—611no—
802#2329—611no—
803#2329—611no—
804#2325—611no—
805#2325—611no—
806#2321—611no—
807#2321—611no—
808#2321—611no—
809#2321—611no—
810#2298—611no—
811#2298—611no—
812#2297—611no—
813#2297—611no—
814#2293—611no—
815#2293—611no—
816#2290—611no—
817#2290—611no—
818#2290—611no—
819#2290—611no—
820#2280—611no—
821C42×D4—611no—
822C42×D4—611no—
823C2×C4×C22⋊C4—611no—
824C2×C61—42no—
825C2×C61—42no—
826C2×C61C2×C4×#4111yescharacteristic
827C2×C61C2×#51811yescharacteristic
828C2×C61#342811yescharacteristic
829C2×C61#345911yescharacteristic
830C2×C61#345911yescharacteristic
831C2×C61#346011yescharacteristic
832C2×C61#346011yescharacteristic
833D61—24no—
834D61—42no—
835D61—42no—
836C22×#41—611no—
837C24×C4—611no—
838#525—6116no—
839C2×#123—611no—
840C2×#123C2×D6111yescharacteristic
841C2×C22⋊Q8—611no—
842C2×C22⋊Q8—611no—
843C2×#121—611no—
844C2×#121—611no—
845C2×#120—611no—
846C2×#120—611no—
847C2×C4×D4—611no—
848C2×C4×D4—611no—
849C2×C4×D4—611no—
850C2×C4×D4—611no—
851C2×C4×D4—611no—
852C2×C4×D4—611no—
853C2×C4×D4—611no—
854C2×C4×D4—611no—
855C2×#117—611no—
856C2×#117—611no—
857C2×#117—611no—
858C2×#117—611no—
859C2×#117—611no—
860C22×C22⋊C4—611no—
861C22×C22⋊C4—611no—
862C22×C42—611no—
863C22×C42—611no—
864C22×C42—611no—
865C22×C42—611no—
866#391—611no—
867#391—611no—
868#391—611no—
869#391—611no—
870#390—611no—
871#390—611no—
872#390—611no—
873#390—611no—
874#390—611no—
875#390—611no—
876#390—611no—
877#390C2×D6111yescharacteristic
878#389—611no—
879#389—611no—
880#389—611no—
881#389C2×D6111yescharacteristic, complemented
882#388—611no—
883#388—611no—
884#388—611no—
885#388—611no—
886#388—611no—
887#388—611no—
888#388—611no—
889#388—611no—
890#388—611no—
891#388—611no—
892#388—611no—
893#388—611no—
894#388—611no—
895#388—611no—
896#388—611no—
897#388—611no—
898#388—611no—
899#388—611no—
900#388—611no—
901#388—611no—
902#388C2×D6111yescharacteristic
903#388C2×D6111yescharacteristic
904#388C2×D6111yescharacteristic, complemented
905#388C2×D6111yescharacteristic, complemented
906#387—611no—
907#387—611no—
908#387—611no—
909#387—611no—
910#387—611no—
911#387—611no—
912#387—611no—
913#387—611no—
914#387—611no—
915#387—611no—
916#387—611no—
917#387—611no—
918#387—611no—
919#387—611no—
920#387C2×D6111yescharacteristic, complemented
921#387C2×D6111yescharacteristic, complemented
922#386—611no—
923#386—611no—
924#386—611no—
925#386—611no—
926#386—611no—
927#386—611no—
928#386—611no—
929#386—611no—
930#386—611no—
931#386—611no—
932#386—611no—
933#386—611no—
934#386—611no—
935#386—611no—
936#386—611no—
937#386C2×D6111yescharacteristic
938#385—611no—
939#385—611no—
940#385—611no—
941#385—611no—
942#385—611no—
943#385—611no—
944#385—611no—
945#385C2×D6111yescharacteristic, complemented
946#381—611no—
947#381—611no—
948#380—611no—
949#380—611no—
950#380—611no—
951#380C2×D6111yescharacteristic
952#379—611no—
953#379—611no—
954C4×C4⋊C4—611no—
955C4×C4⋊C4—611no—
956C4×C4⋊C4—611no—
957C4×C4⋊C4—611no—
958C4×C4⋊C4—611no—
959C4×C4⋊C4—611no—
960C4×C4⋊C4—611no—
961C4×C4⋊C4C2×D6111yescharacteristic, complemented
962C4×C22⋊C4—611no—
963C4×C22⋊C4—611no—
964C4×C22⋊C4—611no—
965C4×C22⋊C4—611no—
966C4×C22⋊C4—611no—
967C4×C22⋊C4—611no—
968C4×C22⋊C4—611no—
969C4×C22⋊C4—611no—
970C4×C22⋊C4—611no—
971C4×C22⋊C4—611no—
972C4×C22⋊C4—611no—
973C4×C22⋊C4—611no—
974C4×C22⋊C4—611no—
975C4×C22⋊C4—611no—
976C4×C22⋊C4—611no—
977C4×C22⋊C4—611no—
978C4×C22⋊C4—611no—
979C4×C22⋊C4—611no—
980C4×C22⋊C4—611no—
981C4×C22⋊C4—611no—
982C4×C22⋊C4—611no—
983C4×C22⋊C4—611no—
984C4×C22⋊C4C2×D6111yescharacteristic
985C4×C22⋊C4C2×D6111yescharacteristic, complemented
986#376—611no—
987#376—611no—
988C2×#95—611no—
989C2×#95—611no—
990C43—611no—
991C43—611no—
992C61#3408211yescharacteristic, complemented, Sylow
993C25—611no—
994C2×#41—618no—
995C2×#41—2442no—
996C2×#41—2442no—
997C22×Q8—611no—
998C22×D4—611no—
999C22×D4—611no—
1000C22×D4—611no—
1001C22×D4—611no—
1002C22×D4—611no—
1003C22×D4—611no—
1004C22×D4C22×D6111yescharacteristic
1005C23×C4—611no—
1006C23×C4—611no—
1007C23×C4—611no—
1008C23×C4—611no—
1009C23×C4—611no—
1010C23×C4—618no—
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—2442no—
1021C23×C4—2442no—
1022C23×C4C22×D6111yescharacteristic
1023C23×C4C22×D6111yescharacteristic
1024#123—618no—
1025#123C4×D6118yescomplemented
1026C22⋊Q8—618no—
1027C22⋊Q8—618no—
1028#121—618no—
1029#121—618no—
1030#120—618no—
1031#120—618no—
1032C4×D4—618no—
1033C4×D4—618no—
1034C4×D4—618no—
1035C4×D4—618no—
1036C4×D4—1224no—
1037C4×D4—1224no—
1038C4×D4—1224no—
1039C4×D4—1224no—
1040#117—618no—
1041#117—2442no—
1042#117—2442no—
1043#117—2442no—
1044#117—2442no—
1045C2×C4⋊C4—611no—
1046C2×C4⋊C4—611no—
1047C2×C4⋊C4—611no—
1048C2×C4⋊C4—611no—
1049C2×C4⋊C4—611no—
1050C2×C4⋊C4—611no—
1051C2×C4⋊C4—611no—
1052C2×C4⋊C4—611no—
1053C2×C4⋊C4—611no—
1054C2×C4⋊C4—611no—
1055C2×C4⋊C4—611no—
1056C2×C4⋊C4—611no—
1057C2×C4⋊C4—611no—
1058C2×C4⋊C4—611no—
1059C2×C4⋊C4—611no—
1060C2×C4⋊C4C22×D6111yescharacteristic
1061C2×C4⋊C4C22×D6111yescharacteristic
1062C2×C4⋊C4C22×D6111yescharacteristic
1063C2×C4⋊C4C22×D6111yescharacteristic
1064C2×C4⋊C4C22×D6111yescharacteristic
1065C2×C4⋊C4C22×D6111yescharacteristic
1066C2×C4⋊C4C22×D6111yescharacteristic
1067C2×C22⋊C4—611no—
1068C2×C22⋊C4—611no—
1069C2×C22⋊C4—611no—
1070C2×C22⋊C4—611no—
1071C2×C22⋊C4—611no—
1072C2×C22⋊C4—611no—
1073C2×C22⋊C4—611no—
1074C2×C22⋊C4—611no—
1075C2×C22⋊C4—611no—
1076C2×C22⋊C4—611no—
1077C2×C22⋊C4—611no—
1078C2×C22⋊C4—611no—
1079C2×C22⋊C4—611no—
1080C2×C22⋊C4—611no—
1081C2×C22⋊C4—611no—
1082C2×C22⋊C4—611no—
1083C2×C22⋊C4—611no—
1084C2×C22⋊C4—611no—
1085C2×C22⋊C4—611no—
1086C2×C22⋊C4—611no—
1087C2×C22⋊C4—611no—
1088C2×C22⋊C4—611no—
1089C2×C22⋊C4—611no—
1090C2×C22⋊C4—611no—
1091C2×C22⋊C4—611no—
1092C2×C22⋊C4—611no—
1093C2×C22⋊C4—611no—
1094C2×C22⋊C4—611no—
1095C2×C22⋊C4—611no—
1096C2×C22⋊C4—611no—
1097C2×C22⋊C4—611no—
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—1224no—
1100C2×C22⋊C4—1224no—
1101C2×C22⋊C4C22×D6111yescharacteristic
1102C2×C22⋊C4C22×D6111yescharacteristic
1103C2×C22⋊C4C22×D6111yescharacteristic
1104C2×C22⋊C4C22×D6111yescharacteristic
1105C2×C22⋊C4C22×D6111yescharacteristic
1106C2×C22⋊C4C22×D6111yescharacteristic
1107C2×C22⋊C4C22×D6111yescharacteristic
1108C2×C22⋊C4C22×D6111yescharacteristic
1109C2×C22⋊C4C22×D6111yescharacteristic
1110C2×C22⋊C4C22×D6111yescharacteristic
1111C2×C42—611no—
1112C2×C42—611no—
1113C2×C42—611no—
1114C2×C42—611no—
1115C2×C42—611no—
1116C2×C42—611no—
1117C2×C42—611no—
1118C2×C42—611no—
1119C2×C42—611no—
1120C2×C42—611no—
1121C2×C42—611no—
1122C2×C42—611no—
1123C2×C42—611no—
1124C2×C42—611no—
1125C2×C42—611no—
1126C2×C42—611no—
1127C2×C42—611no—
1128C2×C42—611no—
1129C2×C42—611no—
1130C2×C42—611no—
1131C2×C42—611no—
1132C2×C42—2442no—
1133C2×C42—2442no—
1134C2×C42—2442no—
1135C2×C42—2442no—
1136C2×C42C22×D6111yescharacteristic
1137C2×C42C22×D6111yescharacteristic
1138C2×C42C22×D6111yescharacteristic
1139C2×C42C22×D6111yescharacteristic
1140C2×C42C22×D6111yescharacteristic
1141#95—611no—
1142#95—611no—
1143#95—611no—
1144#95—611no—
1145#95—611no—
1146#95—611no—
1147#95—611no—
1148#95—611no—
1149#95—611no—
1150#95—611no—
1151#95—611no—
1152#95—611no—
1153#95—611no—
1154#95—611no—
1155#95—611no—
1156#95—611no—
1157#95—611no—
1158#95—611no—
1159#95—611no—
1160#95—611no—
1161#95—611no—
1162#95—611no—
1163#95—611no—
1164#95—611no—
1165#95—611no—
1166#95—611no—
1167#95—611no—
1168#95—611no—
1169#95—611no—
1170#95—611no—
1171#95C22×D6111yescharacteristic
1172#95C22×D6111yescharacteristic
1173#95C22×D6111yescharacteristic
1174#95C22×D6111yescharacteristic
1175#95C22×D6111yescharacteristic
1176#95C22×D6111yescharacteristic
1177#95C22×D6111yescharacteristic
1178#95C22×D6111yescharacteristic
1179#95C22×D6111yescharacteristic
1180#95C22×D6111yescharacteristic
1181C24—611no—
1182C24—611no—
1183C24—611no—
1184C24—614no—
1185C24—1222no—
1186C24—1222no—
1187C24—2441no—
1188C24—2441no—
1189C24—2441no—
1190C24—2441no—
1191C24C23×D6111yescharacteristic
1192C24C23×D6111yescharacteristic
1193#41—24416no—
1194C2×Q8—614no—
1195C2×Q8—2441no—
1196C2×Q8—2441no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—614no—
1200C2×D4—614no—
1201C2×D4—614no—
1202C2×D4—614no—
1203C2×D4—614no—
1204C2×D4—614no—
1205C2×D4—1222no—
1206C2×D4—1222no—
1207C2×D4—1222no—
1208C2×D4—1222no—
1209C2×D4—2441no—
1210C2×D4—2441no—
1211C2×D4—2441no—
1212C2×D4—2441no—
1213C2×D4—2441no—
1214C2×D4—2441no—
1215C2×D4—2441no—
1216C2×D4—2441no—
1217C2×D4C2×C4×D6114yes—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—611no—
1224C22×C4—614no—
1225C22×C4—614no—
1226C22×C4—611no—
1227C22×C4—611no—
1228C22×C4—611no—
1229C22×C4—611no—
1230C22×C4—611no—
1231C22×C4—611no—
1232C22×C4—614no—
1233C22×C4—614no—
1234C22×C4—614no—
1235C22×C4—614no—
1236C22×C4—614no—
1237C22×C4—614no—
1238C22×C4—614no—
1239C22×C4—611no—
1240C22×C4—611no—
1241C22×C4—611no—
1242C22×C4—611no—
1243C22×C4—611no—
1244C22×C4—611no—
1245C22×C4—1222no—
1246C22×C4—1222no—
1247C22×C4—1222no—
1248C22×C4—1222no—
1249C22×C4—1222no—
1250C22×C4—1222no—
1251C22×C4—1222no—
1252C22×C4—1222no—
1253C22×C4—1222no—
1254C22×C4—1222no—
1255C22×C4—1222no—
1256C22×C4—1222no—
1257C22×C4—1222no—
1258C22×C4—1222no—
1259C22×C4—1222no—
1260C22×C4—2441no—
1261C22×C4—2441no—
1262C22×C4—2441no—
1263C22×C4—2441no—
1264C22×C4—2441no—
1265C22×C4—2441no—
1266C22×C4—2441no—
1267C22×C4—2441no—
1268C22×C4—2441no—
1269C22×C4—2441no—
1270C22×C4—2441no—
1271C22×C4—2441no—
1272C22×C4—2441no—
1273C22×C4—2441no—
1274C22×C4—2441no—
1275C22×C4—2441no—
1276C22×C4—24416no—
1277C22×C4—2441no—
1278C22×C4—2441no—
1279C22×C4C2×C4×D6114yes—
1280C22×C4C23×D6111yescharacteristic
1281C22×C4C23×D6111yescharacteristic
1282C22×C4C23×D6111yescharacteristic
1283C22×C4C23×D6111yescharacteristic
1284C22×C4C23×D6111yescharacteristic
1285C22×C4C23×D6111yescharacteristic
1286C22×C4C23×D6111yescharacteristic
1287C22×C4C23×D6111yescharacteristic
1288C22×C4C23×D6111yescharacteristic
1289C22×C4C23×D6111yescharacteristic
1290C22×C4C23×D6111yescharacteristic
1291C22×C4C23×D6111yescharacteristic
1292C22×C4C23×D6111yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—614no—
1299C4⋊C4—614no—
1300C4⋊C4—614no—
1301C4⋊C4—614no—
1302C4⋊C4—1222no—
1303C4⋊C4—1222no—
1304C4⋊C4—1222no—
1305C4⋊C4—2441no—
1306C4⋊C4—2441no—
1307C4⋊C4—2441no—
1308C4⋊C4—2441no—
1309C4⋊C4—2441no—
1310C4⋊C4—2441no—
1311C4⋊C4—2441no—
1312C4⋊C4—2441no—
1313C4⋊C4C2×C4×D6114yes—
1314C4⋊C4C2×C4×D6114yes—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—614no—
1323C22⋊C4—614no—
1324C22⋊C4—614no—
1325C22⋊C4—614no—
1326C22⋊C4—614no—
1327C22⋊C4—614no—
1328C22⋊C4—614no—
1329C22⋊C4—1222no—
1330C22⋊C4—1222no—
1331C22⋊C4—1222no—
1332C22⋊C4—1222no—
1333C22⋊C4—1222no—
1334C22⋊C4—1222no—
1335C22⋊C4—1222no—
1336C22⋊C4—1222no—
1337C22⋊C4—1222no—
1338C22⋊C4—1222no—
1339C22⋊C4—1222no—
1340C22⋊C4—1222no—
1341C22⋊C4—1222no—
1342C22⋊C4—2441no—
1343C22⋊C4—2441no—
1344C22⋊C4—2441no—
1345C22⋊C4—2441no—
1346C22⋊C4—2441no—
1347C22⋊C4—2441no—
1348C22⋊C4—2441no—
1349C22⋊C4—2441no—
1350C22⋊C4—2441no—
1351C22⋊C4—2441no—
1352C22⋊C4—2441no—
1353C22⋊C4—2441no—
1354C22⋊C4C2×C4×D6114yes—
1355C22⋊C4C2×C4×D6114yes—
1356C22⋊C4C2×C4×D6114yes—
1357C42—22no—
1358C42—41no—
1359C42—41no—
1360C42—41no—
1361C42—41no—
1362C42—614no—
1363C42—614no—
1364C42—1222no—
1365C42—1222no—
1366C42—1222no—
1367C42—1222no—
1368C42—1222no—
1369C42—1222no—
1370C42—1222no—
1371C42—1222no—
1372C42—1222no—
1373C42—1222no—
1374C42—1222no—
1375C42—2441no—
1376C42—2441no—
1377C42—2441no—
1378C42—2441no—
1379C42—2441no—
1380C42—2441no—
1381C42—2441no—
1382C42—2441no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—612no—
1396C23—612no—
1397C23—612no—
1398C23—612no—
1399C23—612no—
1400C23—1228no—
1401C23—1221no—
1402C23—1221no—
1403C23—1221no—
1404C23—1221no—
1405C23—1221no—
1406C23—1221no—
1407C23—1221no—
1408C23—1221no—
1409C23—1221no—
1410C23—1221no—
1411C23—1221no—
1412C23—1221no—
1413C23—1221no—
1414C23—1221no—
1415C23—1221no—
1416C23—1221no—
1417C23—2444no—
1418C23—2444no—
1419C23—2444no—
1420C23—2444no—
1421C23—2444no—
1422C23—2444no—
1423C23C22×C4×D6112yes—
1424C23C22×C4×D6112yes—
1425C23C24×D6111yescharacteristic
1426Q8—2444no—
1427D4—44no—
1428D4—1228no—
1429D4—1228no—
1430D4—2444no—
1431D4—2444no—
1432D4—2444no—
1433D4—2444no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
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—44no—
1467C2×C4—44no—
1468C2×C4—612no—
1469C2×C4—612no—
1470C2×C4—612no—
1471C2×C4—612no—
1472C2×C4—612no—
1473C2×C4—612no—
1474C2×C4—612no—
1475C2×C4—612no—
1476C2×C4—612no—
1477C2×C4—1228no—
1478C2×C4—1228no—
1479C2×C4—1228no—
1480C2×C4—1228no—
1481C2×C4—1228no—
1482C2×C4—1221no—
1483C2×C4—1221no—
1484C2×C4—1221no—
1485C2×C4—1221no—
1486C2×C4—1221no—
1487C2×C4—1221no—
1488C2×C4—1221no—
1489C2×C4—1221no—
1490C2×C4—1221no—
1491C2×C4—1221no—
1492C2×C4—1221no—
1493C2×C4—1221no—
1494C2×C4—1221no—
1495C2×C4—1221no—
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—2444no—
1513C2×C4—2444no—
1514C2×C4—2444no—
1515C2×C4—2444no—
1516C2×C4—2444no—
1517C2×C4—2444no—
1518C2×C4—2444no—
1519C2×C4—2444no—
1520C2×C4—2444no—
1521C2×C4C22×C4×D6112yes—
1522C2×C4C22×C4×D6112yes—
1523C2×C4C22×C4×D6112yes—
1524C2×C4C22×C4×D6112yes—
1525C2×C4C22×C4×D6112yes—
1526C2×C4#41×D6112yes—
1527C2×C4#41×D6112yes—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—614no—
1543C22—1222no—
1544C22—1222no—
1545C22—1222no—
1546C22—1222no—
1547C22—1222no—
1548C22—1222no—
1549C22—1222no—
1550C22—1222no—
1551C22—1222no—
1552C22—1222no—
1553C22—1222no—
1554C22—1222no—
1555C22—24416no—
1556C22—2441no—
1557C22—2441no—
1558C22—2441no—
1559C22—2441no—
1560C22—2441no—
1561C22—2441no—
1562C22—2441no—
1563C22—2441no—
1564C22C23×C4×D6111yescharacteristic
1565C22C2×#41×D6111yescharacteristic
1566C22C2×#41×D6111yescharacteristic
1567C22H(5,𝔽2)×D6111yescharacteristic
1568C22H(5,𝔽2)×D6111yescharacteristic
1569C22#1684059711yescharacteristic
1570C22#1684059911yescharacteristic
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—614no—
1585C4—1222no—
1586C4—1222no—
1587C4—1222no—
1588C4—1222no—
1589C4—1222no—
1590C4—1222no—
1591C4—2441no—
1592C4—2441no—
1593C4—2441no—
1594C4—2441no—
1595C4—2441no—
1596C4—2441no—
1597C2—42no—
1598C2—42no—
1599C2—1224no—
1600C2—2442no—
1601C2—2442no—
1602C2C4×#41×D6111yescharacteristic
1603C2#518×D6111yescharacteristic
1604C2#2145901911yescharacteristic
1605C2#2145922711yescharacteristic
1606C2#2145923011yescharacteristic
1607C2#2145923411yescharacteristic
1608C2#2145923911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2335C2
socle, cosocleC23×C61C25
prime radicalC2×#16840270C2
hypercenter#2335D61
hypocenterC61#34082
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #21448613C2semidirect
3. #21448609C2semidirect
4. #21448605C2semidirect
5. #21448582C2semidirect
6. #21448579C2semidirect
7. #21448573C2semidirect
8. #21448570C2semidirect
9. #21448553C2semidirect
10. #21448546C2semidirect
11. #21448523C2semidirect
12. #21448516C2semidirect
13. #21448481C2semidirect
14. #21448478C2semidirect
15. #21448475C2semidirect
16. #21448472C2semidirect
17. #21448313C2semidirect
18. #21448313C2semidirect
19. #21448306C2semidirect
20. #21448304C2semidirect
21. #21448279C2semidirect
22. #21448277C2semidirect
23. #21448261C2semidirect
24. #21448257C2semidirect
25. #21448257C2semidirect
26. #21448255C2semidirect
27. #21448201C2semidirect
28. C4×#14519739C2semidirect
29. C4×#14519737C2semidirect
30. C4×C22⋊C4×D61C2semidirect
31. C61×#2335C2semidirect
34. #16840270C4semidirect
52. C2×#14519735C22semidirect
54. C2×#14519733C22semidirect
57. C22×C4×Dic61C22semidirect
60. C2×C42×D61C22semidirect
61. #16839668C22semidirect
62. #16839667C22semidirect
63. #16839666C22semidirect
64. #16839666C22semidirect
72. #16839661C22semidirect
73. #16839659C22semidirect
74. #16839657C22semidirect
79. #16839655C22semidirect
80. #16839655C22semidirect
83. #16839654C22semidirect
86. #16839653C22semidirect
89. #16839652C22semidirect
92. #16839651C22semidirect
95. #16839649C22semidirect
96. #16839649C22semidirect
97. #16839649C22semidirect
98. #16839648C22semidirect
99. #16839648C22semidirect
100. #16839646C22semidirect
101. #16839646C22semidirect
102. #16839646C22semidirect
103. #16839644C22semidirect
104. #16839644C22semidirect
105. #16839644C22semidirect
106. #16839643C22semidirect
107. #16839643C22semidirect
108. #16839643C22semidirect
111. #16839641C22semidirect
117. #16839639C22semidirect
122. #16839638C22semidirect
123. #16839638C22semidirect
124. #16839637C22semidirect
127. #16839636C22semidirect
130. #16839633C22semidirect
138. C4⋊C4×Dic61C22semidirect
139. C4⋊C4×Dic61C22semidirect
140. C4⋊C4×Dic61C22semidirect
141. C4×#11758196C22semidirect
142. #16839613C22semidirect
143. #16839613C22semidirect
144. #16839613C22semidirect
149. C22⋊C4×Dic61C22semidirect
150. C22⋊C4×Dic61C22semidirect
151. C22⋊C4×Dic61C22semidirect
156. C4×#11758198C22semidirect
164. #16839609C22semidirect
165. #16839609C22semidirect
166. #16839609C22semidirect
167. #16839607C22semidirect
168. #16839607C22semidirect
171. C42×Dic61C22semidirect
172. C42×Dic61C22semidirect
175. C61×#389C22semidirect
178. C61×#388C22semidirect
179. C61×#388C22semidirect
180. C61×#387C22semidirect
181. C61×#387C22semidirect
183. C61×#385C22semidirect
185. C4×C4⋊C4×C61C22semidirect
187. C4×C22⋊C4×C61C22semidirect
191. C2×#11758224C2×C4semidirect
204. C22×C4×D61C2×C4semidirect
216. #14519760C2×C4semidirect
217. #14519755C2×C4semidirect
218. #14519755C2×C4semidirect
220. #14519750C2×C4semidirect
221. #14519747C2×C4semidirect
222. #14519745C2×C4semidirect
225. #14519739C2×C4semidirect
226. #14519739C2×C4semidirect
229. #14519737C2×C4semidirect
230. #14519737C2×C4semidirect
235. #14519733C2×C4semidirect
343. #123×C61C2×C4semidirect
483. C2×C4×D61#41semidirect
484. C2×C4×D61#41semidirect
797. #2335D61semidirect
881. #389C2×D61semidirect
904. #388C2×D61semidirect
905. #388C2×D61semidirect
920. #387C2×D61semidirect
921. #387C2×D61semidirect
945. #385C2×D61semidirect
961. C4×C4⋊C4C2×D61semidirect
985. C4×C22⋊C4C2×D61semidirect
992. C61#34082semidirect
1025. #123C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168402702
#214486132
#214486092
#214486052
#214485822
#214485792
#214485732
#214485702
#214485532
#214485462
#214485232
#214485162
#214484812
#214484782
#214484752
#214484722
#214483132
#214483062
#214483042
#214482792
#214482772
#214482612
#214482572
#214482552
#214482012
C4×#145197392
C4×#145197372
C4×C22⋊C4×D612
C61×#23352
#3408261