Finite Group Databasebeta

← #29846178

Subgroups — #29846178

Order 15616.

2488 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840504C211yesmaximal, characteristic
2#21448992C211yesmaximal, characteristic, complemented
3#21448991C211yesmaximal, characteristic, complemented
4#21448988C211yesmaximal, characteristic, complemented
5#21448895C211yesmaximal, characteristic, complemented
6#21448894C211yesmaximal, characteristic, complemented
7#21448891C211yesmaximal, characteristic, complemented
8#21448890C211yesmaximal, characteristic, complemented
9#21448888C211yesmaximal, characteristic, complemented
10#21448887C211yesmaximal, characteristic, complemented
11#21448802C211yesmaximal, characteristic, complemented
12#21448801C211yesmaximal, characteristic, complemented
13#21448799C211yesmaximal, characteristic, complemented
14#21448797C211yesmaximal, characteristic, complemented
15#21448795C211yesmaximal, characteristic, complemented
16#21448795C211yesmaximal, characteristic, complemented
17#21448631C211yesmaximal, characteristic, complemented
18#21448630C211yesmaximal, characteristic, complemented
19#21448629C211yesmaximal, characteristic, complemented
20#21448629C211yesmaximal, characteristic, complemented
21#21448626C211yesmaximal, characteristic, complemented
22#21448482C211yesmaximal, characteristic, complemented
23#21448481C211yesmaximal, characteristic, complemented
24#21448481C211yesmaximal, characteristic, complemented
25#21448479C211yesmaximal, characteristic, complemented
26#21448475C211yesmaximal, characteristic, complemented
27#21448472C211yesmaximal, characteristic, complemented
28#21448362C211yesmaximal, characteristic, complemented
29#21448360C211yesmaximal, characteristic, complemented
30C4×#14519763C211yesmaximal, characteristic, complemented
31C61×#2337C211yesmaximal, characteristic, complemented
32#16840504C4116yescomplemented
33C2×#14519766C2211yescharacteristic
34C2×#14519766C2211yescharacteristic
35C2×#14519765C2211yescharacteristic
36C2×#14519765C2211yescharacteristic
37C2×#14519763C2211yescharacteristic
38C2×#14519763C2211yescharacteristic
39C2×#14519763C2211yescharacteristic
40C2×#14519763C2211yescharacteristic
41C2×#14519747C2211yescharacteristic
42C2×#14519747C2211yescharacteristic
43C2×#14519747C2211yescharacteristic
44C2×#14519747C2211yescharacteristic
45C2×#14519745C2211yescharacteristic
46C2×#14519745C2211yescharacteristic
47C2×Q8×Dic61C2211yescharacteristic, complemented
48C2×C4×Dic122C2211yescharacteristic, complemented
49C2×#14519742C2211yescharacteristic, complemented
50C2×C4×D244C2211yescharacteristic
51C2×C4×D244C2211yescharacteristic
52C2×D4×Dic61C2211yescharacteristic
53C2×#14519739C2211yescharacteristic
54C2×#14519739C2211yescharacteristic
55C2×C4×C22⋊D61C2211yescharacteristic
56C2×C4×C22⋊D61C2211yescharacteristic
57C2×C4×C22⋊D61C2211yescharacteristic
58C2×#14519737C2211yescharacteristic
59C22×#11758198C2211yescharacteristic, complemented
60C22×#11758198C2211yescharacteristic, complemented
61C2×C22⋊C4×D61C2211yescharacteristic, complemented
62C2×C22⋊C4×D61C2211yescharacteristic, complemented
63C2×C22⋊C4×D61C2211yescharacteristic, complemented
64C2×C22⋊C4×D61C2211yescharacteristic, complemented
65#16839669C2211yescharacteristic, complemented
66#16839668C2211yescharacteristic, complemented
67#16839667C2211yescharacteristic, complemented
68#16839666C2211yescharacteristic, complemented
69#16839666C2211yescharacteristic, complemented
70#16839666C2211yescharacteristic, complemented
71#16839666C2211yescharacteristic, complemented
72#16839665C2211yescharacteristic
73#16839664C2211yescharacteristic
74#16839664C2211yescharacteristic
75#16839663C2211yescharacteristic
76#16839663C2211yescharacteristic
77#16839662C2211yescharacteristic
78#16839662C2211yescharacteristic
79#16839662C2211yescharacteristic
80#16839662C2211yescharacteristic
81#16839656C2211yescharacteristic, complemented
82#16839656C2211yescharacteristic, complemented
83#16839655C2211yescharacteristic, complemented
84#16839655C2211yescharacteristic, complemented
85#16839655C2211yescharacteristic, complemented
86#16839655C2211yescharacteristic, complemented
87#16839654C2211yescharacteristic, complemented
88#16839654C2211yescharacteristic, complemented
89#16839654C2211yescharacteristic, complemented
90#16839654C2211yescharacteristic, complemented
91#16839654C2211yescharacteristic, complemented
92#16839654C2211yescharacteristic, complemented
93#16839654C2211yescharacteristic, complemented
94#16839654C2211yescharacteristic, complemented
95#16839654C2211yescharacteristic, complemented
96#16839653C2211yescharacteristic, complemented
97#16839653C2211yescharacteristic, complemented
98#16839653C2211yescharacteristic, complemented
99#16839653C2211yescharacteristic, complemented
100#16839653C2211yescharacteristic, complemented
101#16839652C2211yescharacteristic, complemented
102#16839652C2211yescharacteristic, complemented
103#16839652C2211yescharacteristic, complemented
104#16839651C2211yescharacteristic, complemented
105#16839651C2211yescharacteristic, complemented
106#16839651C2211yescharacteristic, complemented
107#16839651C2211yescharacteristic, complemented
108#16839651C2211yescharacteristic, complemented
109#16839651C2211yescharacteristic, complemented
110#16839651C2211yescharacteristic, complemented
111#16839650C2211yescharacteristic, complemented
112#16839650C2211yescharacteristic, complemented
113#16839641C2211yescharacteristic
114#16839640C2211yescharacteristic
115#16839640C2211yescharacteristic
116#16839640C2211yescharacteristic
117#16839640C2211yescharacteristic
118#16839640C2211yescharacteristic
119#16839640C2211yescharacteristic
120#16839640C2211yescharacteristic
121#16839640C2211yescharacteristic
122#16839639C2211yescharacteristic
123#16839639C2211yescharacteristic
124#16839639C2211yescharacteristic
125#16839638C2211yescharacteristic
126#16839638C2211yescharacteristic
127#16839638C2211yescharacteristic
128#16839638C2211yescharacteristic
129#16839637C2211yescharacteristic, complemented
130#16839637C2211yescharacteristic, complemented
131#16839636C2211yescharacteristic, complemented
132#16839636C2211yescharacteristic, complemented
133#16839636C2211yescharacteristic, complemented
134#16839636C2211yescharacteristic, complemented
135#16839636C2211yescharacteristic, complemented
136#16839636C2211yescharacteristic, complemented
137#16839636C2211yescharacteristic, complemented
138#16839635C2211yescharacteristic, complemented
139#16839634C2211yescharacteristic, complemented
140#16839633C2211yescharacteristic, complemented
141#16839633C2211yescharacteristic, complemented
142#16839633C2211yescharacteristic, complemented
143#16839633C2211yescharacteristic, complemented
144#16839633C2211yescharacteristic, complemented
145#16839629C2211yescharacteristic, complemented
146#16839627C2211yescharacteristic, complemented
147#16839626C2211yescharacteristic, complemented
148#16839626C2211yescharacteristic, complemented
149#16839617C2211yescharacteristic, complemented
150#16839617C2211yescharacteristic, complemented
151C4⋊C4×Dic61C2211yescharacteristic, complemented
152C4×#11758196C2211yescharacteristic, complemented
153C4×C4⋊Dic61C2211yescharacteristic, complemented
154C4×C4⋊Dic61C2211yescharacteristic, complemented
155#16839613C2211yescharacteristic, complemented
156C22⋊C4×Dic61C2211yescharacteristic, complemented
157C22⋊C4×Dic61C2211yescharacteristic, complemented
158C22⋊C4×Dic61C2211yescharacteristic, complemented
159C4×#11758198C2211yescharacteristic, complemented
160C4×#11758198C2211yescharacteristic, complemented
161C4×#11758198C2211yescharacteristic, complemented
162C4×C22⋊Dic61C2211yescharacteristic, complemented
163#16839609C2211yescharacteristic, complemented
164#16839609C2211yescharacteristic, complemented
165#16839609C2211yescharacteristic, complemented
166#16839609C2211yescharacteristic, complemented
167#16839609C2211yescharacteristic, complemented
168#16839609C2211yescharacteristic, complemented
169#16839609C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic, complemented
171#16839609C2211yescharacteristic, complemented
172C42×Dic61C2211yescharacteristic, complemented
173C2×#124×C61C2211yescharacteristic
174C61×#391C2211yescharacteristic, complemented
175C61×#391C2211yescharacteristic, complemented
176C61×#388C2211yescharacteristic, complemented
177C61×#388C2211yescharacteristic, complemented
178C61×#388C2211yescharacteristic, complemented
179C61×#388C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic
182C61×#385C2211yescharacteristic, complemented
183C61×#385C2211yescharacteristic, complemented
184C61×#383C2211yescharacteristic, complemented
185C4×C4⋊C4×C61C2211yescharacteristic, complemented
186C4×C22⋊C4×C61C2211yescharacteristic, complemented
187C4×C22⋊C4×C61C2211yescharacteristic, complemented
188C24×D61C2311yescharacteristic
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C22×C4×D61C2311yescharacteristic
203C22×C4×D61C2311yescharacteristic
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210#14519766C2×C418yescomplemented
211#14519766C2×C418yescomplemented
212#14519765C2×C418yescomplemented
213#14519765C2×C418yescomplemented
214#14519763C2×C418yescomplemented
215#14519763C2×C418yescomplemented
216#14519763C2×C418yescomplemented
217#14519763C2×C418yescomplemented
218#14519747C2×C418yescomplemented
219#14519747C2×C418yescomplemented
220#14519747C2×C418yescomplemented
221#14519747C2×C418yescomplemented
222#14519745C2×C418yescomplemented
223#14519745C2×C418yescomplemented
224Q8×Dic61—42no—
225C4×Dic122—42no—
226#14519742—42no—
227C4×D244—42no—
228C4×D244—42no—
229D4×Dic61—42no—
230#14519739—42no—
231#14519739—42no—
232C4×C22⋊D61—42no—
233C4×C22⋊D61—42no—
234C4×C22⋊D61—42no—
235#14519737—42no—
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×C4⋊Dic61C2311yescharacteristic
239C2×C4⋊Dic61C2311yescharacteristic
240C2×C4⋊Dic61C2311yescharacteristic
241C2×C4⋊Dic61C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×#11758198—42no—
259C2×#11758198—42no—
260C2×#11758198C2311yescharacteristic
261C2×#11758198C2311yescharacteristic
262C2×#11758198C2311yescharacteristic
263C2×#11758198C2311yescharacteristic
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C22⋊C4×D61—42no—
297C22⋊C4×D61—42no—
298C22⋊C4×D61—42no—
299C22⋊C4×D61—42no—
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
340C22×Q8×C61C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344#124×C61C2×C418yescomplemented
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C42×C61C2311yescharacteristic
360C2×C42×C61C2311yescharacteristic
361C2×C42×C61C2311yescharacteristic
362C2×C42×C61C2311yescharacteristic
363C2×C42×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C23×D61—41no—
379C23×D61—41no—
380C23×D61—41no—
381C23×D61—41no—
382C23×D61—41no—
383C23×D61—41no—
384C23×D61—41no—
385C23×D61—41no—
386C23×D61—41no—
387C23×D61—41no—
388C23×D61—41no—
389C23×D61—41no—
390C23×D61C22×C414yes—
391C23×D61C22×C414yes—
392C23×D61C2411yescharacteristic
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C2×Q8×C61—41no—
397C2×Q8×C61—41no—
398C2×Q8×C61C22×C414yes—
399C2×D4×C61—41no—
400C2×D4×C61—41no—
401C2×D4×C61C22×C414yes—
402C22×C4×C61—22no—
403C22×C4×C61—41no—
404C22×C4×C61—41no—
405C22×C4×C61—41no—
406C22×C4×C61—41no—
407C22×C4×C61—41no—
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C2×C22⋊D61—41no—
422C2×C22⋊D61—41no—
423C2×C22⋊D61—41no—
424C2×C22⋊D61—41no—
425C2×C22⋊D61—41no—
426C2×C22⋊D61—41no—
427C2×C22⋊D61—41no—
428C2×C22⋊D61—41no—
429C2×C22⋊D61C22×C414yes—
430C2×C22⋊D61C22×C414yes—
431C2×C22⋊D61C22×C414yes—
432C2×C22⋊D61C22×C414yes—
433C22×Dic61—22no—
434C22×Dic61—41no—
435C22×Dic61—41no—
436C22×Dic61—41no—
437C22×Dic61—41no—
438C22×Dic61—41no—
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C22×Dic61C2411yescharacteristic
446C22×Dic61C2411yescharacteristic
447C22×Dic61C2411yescharacteristic
448C22×Dic61C2411yescharacteristic
449C22×Dic61C2411yescharacteristic
450C22×Dic61C2411yescharacteristic
451C2×D244—41no—
452C2×D244—41no—
453C2×D244—41no—
454C2×D244—41no—
455C2×D244—41no—
456C2×D244—41no—
457C2×D244—41no—
458C2×D244—41no—
459C2×D244C22×C414yes—
460C2×D244C22×C414yes—
461C2×D244C22×C414yes—
462C2×D244C22×C414yes—
463C2×C4×D61—22no—
464C2×C4×D61—22no—
465C2×C4×D61—22no—
466C2×C4×D61—22no—
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×D61—41no—
479C2×C4×D61—41no—
480C2×C4×D61—41no—
481C2×C4×D61—41no—
482C2×C4×D61—41no—
483C2×C4×D61—41no—
484C2×C4×D61—41no—
485C2×C4×D61—41no—
486C2×C4×D61—41no—
487C2×Dic122—41no—
488C2×Dic122—41no—
489C2×Dic122—41no—
490C2×Dic122—41no—
491C2×Dic122C22×C414yes—
492C2×Dic122C22×C414yes—
493C4⋊C4×C61—22no—
494C4⋊C4×C61—41no—
495C4⋊C4×C61—41no—
496C4⋊C4×C61—41no—
497C22⋊C4×C61—22no—
498C22⋊C4×C61—41no—
499C22⋊C4×C61—41no—
500C22⋊C4×C61—41no—
501C22⋊C4×C61—41no—
502C22⋊C4×C61—41no—
503C22⋊C4×C61C22×C414yes—
504C22⋊C4×C61C22×C414yes—
505C22⋊C4×C61C22×C414yes—
506C22⋊C4×C61C22×C414yes—
507C42×C61—41no—
508C42×C61—41no—
509C42×C61—41no—
510C42×C61—41no—
511C42×C61C22×C414yes—
512C22⋊Dic61—22no—
513C22⋊Dic61—22no—
514C22⋊Dic61—22no—
515C22⋊Dic61—41no—
516C22⋊Dic61—41no—
517C22⋊Dic61—41no—
518C22⋊Dic61C22×C414yes—
519C22⋊Dic61C22×C414yes—
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#11758198—41no—
537#11758198—41no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198—41no—
543#11758198—41no—
544#11758198C22×C414yes—
545#11758198C22×C414yes—
546#11758198C22×C414yes—
547#11758198C22×C414yes—
548#11758198C22×C414yes—
549#11758198C22×C414yes—
550#11758198C22×C414yes—
551#11758198C22×C414yes—
552#11758198C22×C414yes—
553#11758198C22×C414yes—
554#11758198C22×C414yes—
555#11758198C22×C414yes—
556C4⋊Dic61—22no—
557C4⋊Dic61—22no—
558C4⋊Dic61—22no—
559C4⋊Dic61—41no—
560C4⋊Dic61—41no—
561C4⋊Dic61—41no—
562#11758196—22no—
563#11758196—22no—
564#11758196—41no—
565#11758196—41no—
566#11758196—41no—
567#11758196—41no—
568#11758196—41no—
569#11758196—41no—
570C4×Dic61—22no—
571C4×Dic61—22no—
572C4×Dic61—22no—
573C4×Dic61—41no—
574C4×Dic61—41no—
575C4×Dic61—41no—
576C4×Dic61—41no—
577C4×Dic61—41no—
578C4×Dic61—41no—
579C4×Dic61—41no—
580C4×Dic61—41no—
581C4×Dic61—41no—
582C4×Dic61—41no—
583C4×Dic61—41no—
584C4×Dic61C22×C414yes—
585C4×Dic61C22×C414yes—
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×C61C23×C412yes—
599C23×C61C23×C412yes—
600C23×C61C2511yescharacteristic
601C22×D61—21no—
602C22×D61—21no—
603C22×D61—21no—
604C22×D61—21no—
605C22×D61—21no—
606C22×D61—21no—
607C22×D61—21no—
608C22×D61—21no—
609C22×D61—21no—
610C22×D61—21no—
611C22×D61—21no—
612C22×D61—21no—
613C22×D61—21no—
614C22×D61—21no—
615C22×D61—21no—
616C22×D61—21no—
617C22×D61—21no—
618C22×D61—21no—
619C22×D61—21no—
620C22×D61—21no—
621C22×D61—21no—
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—44no—
626C22×D61—44no—
627C22×D61—44no—
628C22×D61—44no—
629C22×D61—44no—
630C22×D61—44no—
631C22×D61—82no—
632C22×D61—82no—
633C22×D61—82no—
634C22×D61—82no—
635C22×D61—82no—
636C22×D61—82no—
637C22×D61—82no—
638C22×D61—82no—
639C22×D61C23×C412yes—
640C22×D61C23×C412yes—
641C22×D61C23×C412yes—
642C22×D61C23×C412yes—
643Q8×C61—44no—
644D4×C61—44no—
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—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—82no—
679C2×C4×C61—82no—
680C2×C4×C61C23×C412yes—
681C2×C4×C61C23×C412yes—
682C2×C4×C61C23×C412yes—
683C2×C4×C61C23×C412yes—
684C2×C4×C61C23×C412yes—
685C2×C4×C61H(5,𝔽2)12yes—
686C22⋊D61—44no—
687C22⋊D61—44no—
688C22⋊D61—44no—
689C22⋊D61—44no—
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—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—82no—
721C2×Dic61—82no—
722C2×Dic61C23×C412yes—
723C2×Dic61C23×C412yes—
724C2×Dic61C23×C412yes—
725C2×Dic61C23×C412yes—
726C2×Dic61H(5,𝔽2)12yes—
727C2×Dic61H(5,𝔽2)12yes—
728D244—44no—
729D244—44no—
730D244—44no—
731D244—44no—
732C4×D61—82no—
733C4×D61—82no—
734C4×D61—82no—
735C4×D61—82no—
736C4×D61—82no—
737C4×D61—82no—
738C4×D61—82no—
739C4×D61—82no—
740Dic122—44no—
741Dic122—44no—
742#34529—611nomaximal, Sylow
743C22×C61—22no—
744C22×C61—22no—
745C22×C61—22no—
746C22×C61—22no—
747C22×C61—22no—
748C22×C61—22no—
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×C61C24×C411yescharacteristic
758C22×C61C2×H(5,𝔽2)11yescharacteristic
759C22×C61C2×H(5,𝔽2)11yescharacteristic
760C22×C61C2×H(5,𝔽2)11yescharacteristic
761C22×C61#58511yescharacteristic
762C22×C61#58511yescharacteristic
763C22×C61#58511yescharacteristic
764C2×D61—22no—
765C2×D61—22no—
766C2×D61—22no—
767C2×D61—22no—
768C2×D61—22no—
769C2×D61—22no—
770C2×D61—22no—
771C2×D61—22no—
772C2×D61—22no—
773C2×D61—22no—
774C2×D61—22no—
775C2×D61—22no—
776C2×D61—41no—
777C2×D61—41no—
778C2×D61—41no—
779C2×D61—41no—
780C2×D61—41no—
781C2×D61—41no—
782C2×D61—41no—
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—88no—
793C2×D61—88no—
794C4×C61—22no—
795C4×C61—22no—
796C4×C61—22no—
797C4×C61—22no—
798C4×C61—22no—
799C4×C61—22no—
800C4×C61—41no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807Dic61—22no—
808Dic61—22no—
809Dic61—22no—
810Dic61—22no—
811Dic61—22no—
812Dic61—22no—
813Dic61—41no—
814Dic61—41no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819C2×H(3,𝔽4)—611no—
820#2379—611no—
821#2379—611no—
822#2379—611no—
823#2367—611no—
824#2367—611no—
825#2367—611no—
826#2367—611no—
827#2367—611no—
828#2367—611no—
829#2358—611no—
830#2358—611no—
831#2358—611no—
832#2358—611no—
833#2358—611no—
834#2358—611no—
835#2337—611no—
836#2337—611no—
837#2337—611no—
838#2337—611no—
839#2337—611no—
840#2337D6111yescharacteristic, complemented
841#2321—611no—
842#2321—611no—
843#2321—611no—
844#2321—611no—
845#2321—611no—
846#2321—611no—
847C4×#124—611no—
848C4×#124—611no—
849C4×#124—611no—
850C2×C61—42no—
851C2×C61—42no—
852C2×C61C4×H(5,𝔽2)11yescharacteristic
853C2×C61C4×H(5,𝔽2)11yescharacteristic
854C2×C61C4×H(5,𝔽2)11yescharacteristic
855C2×C61#355811yescharacteristic
856C2×C61#355811yescharacteristic
857C2×C61#355811yescharacteristic
858C2×C61#356811yescharacteristic
859D61—42no—
860D61—42no—
861D61—42no—
862D61—42no—
863H(3,𝔽4)—6116no—
864C2×#124—611no—
865C2×#124—611no—
866C2×#124—611no—
867C2×#124—611no—
868C2×#124—611no—
869C2×#124—611no—
870C2×#124—611no—
871C2×#124—611no—
872C2×#124C2×D6111yescharacteristic
873C2×#120—611no—
874C2×#120—611no—
875C2×#120—611no—
876C2×#120—611no—
877C2×#120—611no—
878C2×#120—611no—
879C2×C4×Q8—611no—
880C2×C4×Q8—611no—
881C2×C4×Q8—611no—
882C2×C4×D4—611no—
883C2×C4×D4—611no—
884C2×C4×D4—611no—
885C2×C4×D4—611no—
886C2×C4×D4—611no—
887C2×C4×D4—611no—
888C2×C4×D4—611no—
889C2×C4×D4—611no—
890C2×C4×D4—611no—
891C22×C22⋊C4—611no—
892C22×C22⋊C4—611no—
893C22×C22⋊C4—611no—
894C22×C22⋊C4—611no—
895C22×C22⋊C4—611no—
896C22×C22⋊C4—611no—
897#391—611no—
898#391—611no—
899#391—611no—
900#391—611no—
901#391—611no—
902#391—611no—
903#391—611no—
904#391C2×D6111yescharacteristic, complemented
905#391C2×D6111yescharacteristic, complemented
906#390—611no—
907#390—611no—
908#390—611no—
909#390—611no—
910#390—611no—
911#390—611no—
912#390—611no—
913#390—611no—
914#390—611no—
915#388—611no—
916#388—611no—
917#388—611no—
918#388—611no—
919#388—611no—
920#388—611no—
921#388—611no—
922#388—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#388—611no—
937#388—611no—
938#388—611no—
939#388—611no—
940#388—611no—
941#388—611no—
942#388—611no—
943#388—611no—
944#388—611no—
945#388—611no—
946#388—611no—
947#388C2×D6111yescharacteristic, complemented
948#388C2×D6111yescharacteristic, complemented
949#388C2×D6111yescharacteristic, complemented
950#388C2×D6111yescharacteristic, complemented
951#386—611no—
952#386—611no—
953#386—611no—
954#386—611no—
955#386—611no—
956#386—611no—
957#386—611no—
958#386—611no—
959#386—611no—
960#386—611no—
961#386—611no—
962#386—611no—
963#386—611no—
964#386—611no—
965#386—611no—
966#386—611no—
967#386C2×D6111yescharacteristic
968#386C2×D6111yescharacteristic
969#385—611no—
970#385—611no—
971#385—611no—
972#385—611no—
973#385—611no—
974#385—611no—
975#385—611no—
976#385—611no—
977#385—611no—
978#385—611no—
979#385—611no—
980#385—611no—
981#385—611no—
982#385—611no—
983#385—611no—
984#385—611no—
985#385C2×D6111yescharacteristic, complemented
986#385C2×D6111yescharacteristic, complemented
987#383—611no—
988#383C2×D6111yescharacteristic, complemented
989#382—611no—
990#382—611no—
991#382—611no—
992#379—611no—
993#379—611no—
994C4×C4⋊C4—611no—
995C4×C4⋊C4—611no—
996C4×C4⋊C4—611no—
997C4×C4⋊C4—611no—
998C4×C4⋊C4—611no—
999C4×C4⋊C4C2×D6111yescharacteristic, complemented
1000C4×C22⋊C4—611no—
1001C4×C22⋊C4—611no—
1002C4×C22⋊C4—611no—
1003C4×C22⋊C4—611no—
1004C4×C22⋊C4—611no—
1005C4×C22⋊C4—611no—
1006C4×C22⋊C4—611no—
1007C4×C22⋊C4—611no—
1008C4×C22⋊C4—611no—
1009C4×C22⋊C4—611no—
1010C4×C22⋊C4—611no—
1011C4×C22⋊C4—611no—
1012C4×C22⋊C4—611no—
1013C4×C22⋊C4—611no—
1014C4×C22⋊C4—611no—
1015C4×C22⋊C4—611no—
1016C4×C22⋊C4C2×D6111yescharacteristic, complemented
1017C4×C22⋊C4C2×D6111yescharacteristic, complemented
1018C43—611no—
1019C61#3452911yescharacteristic, complemented, Sylow
1020C25—611no—
1021C25—611no—
1022C22×Q8—611no—
1023C22×Q8—611no—
1024C22×Q8C22×D6111yescharacteristic
1025C22×D4—611no—
1026C22×D4—611no—
1027C22×D4—611no—
1028C22×D4—611no—
1029C22×D4—611no—
1030C22×D4—611no—
1031C22×D4—611no—
1032C22×D4—611no—
1033C22×D4C22×D6111yescharacteristic
1034C23×C4—611no—
1035C23×C4—611no—
1036C23×C4—611no—
1037C23×C4—611no—
1038C23×C4—611no—
1039C23×C4—611no—
1040C23×C4—611no—
1041C23×C4—611no—
1042C23×C4—611no—
1043C23×C4—611no—
1044C23×C4C22×D6111yescharacteristic
1045C23×C4C22×D6111yescharacteristic
1046#124—618no—
1047#124—618no—
1048#124—618no—
1049#124—618no—
1050#124—618no—
1051#124—618no—
1052#124—618no—
1053#124—618no—
1054#124C4×D6118yescomplemented
1055#120—618no—
1056#120—618no—
1057#120—618no—
1058#120—618no—
1059#120—618no—
1060#120—618no—
1061C4×Q8—2442no—
1062C4×Q8—2442no—
1063C4×Q8—2442no—
1064C4×D4—2442no—
1065C4×D4—2442no—
1066C4×D4—2442no—
1067C4×D4—2442no—
1068C4×D4—2442no—
1069C4×D4—2442no—
1070C4×D4—2442no—
1071C4×D4—2442no—
1072C4×D4—2442no—
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—611no—
1085C2×C4⋊C4—611no—
1086C2×C4⋊C4—611no—
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—611no—
1125C2×C22⋊C4—611no—
1126C2×C22⋊C4—611no—
1127C2×C22⋊C4—611no—
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—2442no—
1136C2×C22⋊C4—2442no—
1137C2×C22⋊C4—2442no—
1138C2×C22⋊C4—2442no—
1139C2×C22⋊C4—2442no—
1140C2×C22⋊C4—2442no—
1141C2×C22⋊C4C22×D6111yescharacteristic
1142C2×C22⋊C4C22×D6111yescharacteristic
1143C2×C22⋊C4C22×D6111yescharacteristic
1144C2×C22⋊C4C22×D6111yescharacteristic
1145C2×C22⋊C4C22×D6111yescharacteristic
1146C2×C22⋊C4C22×D6111yescharacteristic
1147C2×C22⋊C4C22×D6111yescharacteristic
1148C2×C22⋊C4C22×D6111yescharacteristic
1149C2×C22⋊C4C22×D6111yescharacteristic
1150C2×C22⋊C4C22×D6111yescharacteristic
1151C2×C42—611no—
1152C2×C42—611no—
1153C2×C42—611no—
1154C2×C42—611no—
1155C2×C42—611no—
1156C2×C42—611no—
1157C2×C42—611no—
1158C2×C42—611no—
1159C2×C42—611no—
1160C2×C42—611no—
1161C2×C42—611no—
1162C2×C42—611no—
1163C2×C42—611no—
1164C2×C42—611no—
1165C2×C42—611no—
1166C2×C42—611no—
1167C2×C42C22×D6111yescharacteristic
1168C2×C42C22×D6111yescharacteristic
1169C2×C42C22×D6111yescharacteristic
1170C2×C42C22×D6111yescharacteristic
1171C2×C42C22×D6111yescharacteristic
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95—611no—
1180#95—611no—
1181#95—611no—
1182#95—611no—
1183#95—611no—
1184#95—611no—
1185#95—611no—
1186#95—611no—
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95—611no—
1191#95—611no—
1192#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196#95C22×D6111yescharacteristic
1197#95C22×D6111yescharacteristic
1198#95C22×D6111yescharacteristic
1199#95C22×D6111yescharacteristic
1200#95C22×D6111yescharacteristic
1201#95C22×D6111yescharacteristic
1202#95C22×D6111yescharacteristic
1203#95C22×D6111yescharacteristic
1204#95C22×D6111yescharacteristic
1205#95C22×D6111yescharacteristic
1206#95C22×D6111yescharacteristic
1207#95C22×D6111yescharacteristic
1208C24—611no—
1209C24—611no—
1210C24—611no—
1211C24—611no—
1212C24—614no—
1213C24—614no—
1214C24—2441no—
1215C24—2441no—
1216C24—2441no—
1217C24—2441no—
1218C24—2441no—
1219C24—2441no—
1220C24—2441no—
1221C24—2441no—
1222C24—2441no—
1223C24—2441no—
1224C24—2441no—
1225C24—2441no—
1226C24C23×D6111yescharacteristic
1227C24C23×D6111yescharacteristic
1228C2×Q8—41no—
1229C2×Q8—41no—
1230C2×Q8—614no—
1231C2×Q8—614no—
1232C2×Q8—2441no—
1233C2×Q8—2441no—
1234C2×Q8—2441no—
1235C2×Q8—2441no—
1236C2×Q8C2×C4×D6114yes—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—614no—
1240C2×D4—614no—
1241C2×D4—614no—
1242C2×D4—614no—
1243C2×D4—614no—
1244C2×D4—614no—
1245C2×D4—614no—
1246C2×D4—614no—
1247C2×D4—2441no—
1248C2×D4—2441no—
1249C2×D4—2441no—
1250C2×D4—2441no—
1251C2×D4—2441no—
1252C2×D4—2441no—
1253C2×D4—2441no—
1254C2×D4—2441no—
1255C2×D4—2441no—
1256C2×D4—2441no—
1257C2×D4—2441no—
1258C2×D4—2441no—
1259C2×D4—2441no—
1260C2×D4—2441no—
1261C2×D4—2441no—
1262C2×D4—2441no—
1263C2×D4C2×C4×D6114yes—
1264C22×C4—22no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—611no—
1271C22×C4—611no—
1272C22×C4—611no—
1273C22×C4—611no—
1274C22×C4—611no—
1275C22×C4—611no—
1276C22×C4—611no—
1277C22×C4—611no—
1278C22×C4—611no—
1279C22×C4—611no—
1280C22×C4—611no—
1281C22×C4—611no—
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×C4—2441no—
1291C22×C4—2441no—
1292C22×C4—2441no—
1293C22×C4—2441no—
1294C22×C4—2441no—
1295C22×C4—2441no—
1296C22×C4—2441no—
1297C22×C4—2441no—
1298C22×C4—2441no—
1299C22×C4—2441no—
1300C22×C4—2441no—
1301C22×C4—2441no—
1302C22×C4—2441no—
1303C22×C4—2441no—
1304C22×C4—2441no—
1305C22×C4—2441no—
1306C22×C4—2441no—
1307C22×C4—2441no—
1308C22×C4—2441no—
1309C22×C4—2441no—
1310C22×C4—2441no—
1311C22×C4—2441no—
1312C22×C4C23×D6111yescharacteristic
1313C22×C4C23×D6111yescharacteristic
1314C22×C4C23×D6111yescharacteristic
1315C22×C4C23×D6111yescharacteristic
1316C22×C4C23×D6111yescharacteristic
1317C22×C4C23×D6111yescharacteristic
1318C22×C4C23×D6111yescharacteristic
1319C22×C4C23×D6111yescharacteristic
1320C22×C4C23×D6111yescharacteristic
1321C22×C4C23×D6111yescharacteristic
1322C22×C4C23×D6111yescharacteristic
1323C22×C4C23×D6111yescharacteristic
1324C22×C4C23×D6111yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—1222no—
1330C4⋊C4—1222no—
1331C4⋊C4—1222no—
1332C4⋊C4—1222no—
1333C4⋊C4—1222no—
1334C4⋊C4—2441no—
1335C4⋊C4—2441no—
1336C4⋊C4—2441no—
1337C4⋊C4—2441no—
1338C4⋊C4—2441no—
1339C4⋊C4—2441no—
1340C4⋊C4—2441no—
1341C4⋊C4—2441no—
1342C4⋊C4—2441no—
1343C22⋊C4—22no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—614no—
1350C22⋊C4—614no—
1351C22⋊C4—614no—
1352C22⋊C4—614no—
1353C22⋊C4—614no—
1354C22⋊C4—614no—
1355C22⋊C4—614no—
1356C22⋊C4—614no—
1357C22⋊C4—614no—
1358C22⋊C4—614no—
1359C22⋊C4—614no—
1360C22⋊C4—614no—
1361C22⋊C4—614no—
1362C22⋊C4—614no—
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—1222no—
1372C22⋊C4—1222no—
1373C22⋊C4—1222no—
1374C22⋊C4—2441no—
1375C22⋊C4—2441no—
1376C22⋊C4—2441no—
1377C22⋊C4—2441no—
1378C22⋊C4—2441no—
1379C22⋊C4—2441no—
1380C22⋊C4—2441no—
1381C22⋊C4—2441no—
1382C22⋊C4—2441no—
1383C22⋊C4—2441no—
1384C22⋊C4—2441no—
1385C22⋊C4—2441no—
1386C22⋊C4—2441no—
1387C22⋊C4—2441no—
1388C22⋊C4—2441no—
1389C22⋊C4—2441no—
1390C22⋊C4—2441no—
1391C22⋊C4—2441no—
1392C22⋊C4—2441no—
1393C22⋊C4C2×C4×D6114yes—
1394C22⋊C4C2×C4×D6114yes—
1395C22⋊C4C2×C4×D6114yes—
1396C22⋊C4C2×C4×D6114yes—
1397C42—41no—
1398C42—41no—
1399C42—41no—
1400C42—41no—
1401C42—614no—
1402C42—614no—
1403C42—1222no—
1404C42—1222no—
1405C42—1222no—
1406C42—2441no—
1407C42—2441no—
1408C42—2441no—
1409C42—2441no—
1410C42—2441no—
1411C42—2441no—
1412C42—2441no—
1413C42—2441no—
1414C42—2441no—
1415C42—2441no—
1416C42—2441no—
1417C42C2×C4×D6114yes—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—612no—
1431C23—612no—
1432C23—612no—
1433C23—612no—
1434C23—1221no—
1435C23—1221no—
1436C23—1221no—
1437C23—1221no—
1438C23—1221no—
1439C23—1221no—
1440C23—1221no—
1441C23—1221no—
1442C23—1221no—
1443C23—1221no—
1444C23—1221no—
1445C23—1221no—
1446C23—1221no—
1447C23—1221no—
1448C23—1221no—
1449C23—1221no—
1450C23—1221no—
1451C23—1221no—
1452C23—1221no—
1453C23—1221no—
1454C23—1221no—
1455C23—1221no—
1456C23—1221no—
1457C23—1221no—
1458C23—4882no—
1459C23—4882no—
1460C23—4882no—
1461C23—4882no—
1462C23—4882no—
1463C23—4882no—
1464C23—4882no—
1465C23—4882no—
1466C23—2444no—
1467C23—2444no—
1468C23—2444no—
1469C23—2444no—
1470C23—2444no—
1471C23—2444no—
1472C23C22×C4×D6112yes—
1473C23C22×C4×D6112yes—
1474C23C24×D6111yescharacteristic
1475Q8—44no—
1476Q8—2444no—
1477Q8—2444no—
1478D4—44no—
1479D4—2444no—
1480D4—2444no—
1481D4—2444no—
1482D4—2444no—
1483D4—2444no—
1484D4—2444no—
1485D4—2444no—
1486D4—2444no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—612no—
1523C2×C4—612no—
1524C2×C4—612no—
1525C2×C4—612no—
1526C2×C4—612no—
1527C2×C4—612no—
1528C2×C4—1221no—
1529C2×C4—1221no—
1530C2×C4—1221no—
1531C2×C4—1221no—
1532C2×C4—1221no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—4882no—
1559C2×C4—4882no—
1560C2×C4—4882no—
1561C2×C4—4882no—
1562C2×C4—4882no—
1563C2×C4—4882no—
1564C2×C4—4882no—
1565C2×C4—4882no—
1566C2×C4—4882no—
1567C2×C4—4882no—
1568C2×C4C22×C4×D6112yes—
1569C2×C4C22×C4×D6112yes—
1570C2×C4C22×C4×D6112yes—
1571C2×C4C22×C4×D6112yes—
1572C2×C4C22×C4×D6112yes—
1573C2×C4#1451982312yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—1222no—
1589C22—1222no—
1590C22—1222no—
1591C22—1222no—
1592C22—1222no—
1593C22—1222no—
1594C22—1222no—
1595C22—1222no—
1596C22—1222no—
1597C22—1222no—
1598C22—1222no—
1599C22—1222no—
1600C22—4888no—
1601C22—4888no—
1602C22—2441no—
1603C22—2441no—
1604C22—2441no—
1605C22—2441no—
1606C22—2441no—
1607C22—2441no—
1608C22—2441no—
1609C22—2441no—
1610C22—2441no—
1611C22—2441no—
1612C22—2441no—
1613C22—2441no—
1614C22—2441no—
1615C22—2441no—
1616C22—2441no—
1617C22—2441no—
1618C22C23×C4×D6111yescharacteristic
1619C22H(5,𝔽2)×D6111yescharacteristic
1620C22H(5,𝔽2)×D6111yescharacteristic
1621C22C2×#1451982311yescharacteristic
1622C22#1684059711yescharacteristic
1623C22#1684059811yescharacteristic
1624C22#1684059911yescharacteristic
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—1222no—
1639C4—1222no—
1640C4—1222no—
1641C4—1222no—
1642C4—1222no—
1643C4—1222no—
1644C4—2441no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C2—42no—
1651C2—42no—
1652C2—2442no—
1653C2—2442no—
1654C2—2442no—
1655C2—2442no—
1656C2#2145902311yescharacteristic
1657C2#2145902511yescharacteristic
1658C2C4×#1451982311yescharacteristic
1659C2#2146033011yescharacteristic
1660C2#2146033411yescharacteristic
1661C2#2146034011yescharacteristic
1662C2#2146051111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2337C2
socle, cosocleC23×C61C25
prime radicalC2×#16840504C2
hypercenter#2337D61
hypocenterC61#34529
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2337

Complements

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

NH ≅ G/Ntype
2. #21448992C2semidirect
3. #21448991C2semidirect
4. #21448988C2semidirect
5. #21448895C2semidirect
6. #21448894C2semidirect
7. #21448891C2semidirect
8. #21448890C2semidirect
9. #21448888C2semidirect
10. #21448887C2semidirect
11. #21448802C2semidirect
12. #21448801C2semidirect
13. #21448799C2semidirect
14. #21448797C2semidirect
15. #21448795C2semidirect
16. #21448795C2semidirect
17. #21448631C2semidirect
18. #21448630C2semidirect
19. #21448629C2semidirect
20. #21448629C2semidirect
21. #21448626C2semidirect
22. #21448482C2semidirect
23. #21448481C2semidirect
24. #21448481C2semidirect
25. #21448479C2semidirect
26. #21448475C2semidirect
27. #21448472C2semidirect
28. #21448362C2semidirect
29. #21448360C2semidirect
30. C4×#14519763C2semidirect
31. C61×#2337C2semidirect
32. #16840504C4semidirect
47. C2×Q8×Dic61C22semidirect
48. C2×C4×Dic122C22semidirect
49. C2×#14519742C22semidirect
59. C22×#11758198C22semidirect
60. C22×#11758198C22semidirect
61. C2×C22⋊C4×D61C22semidirect
62. C2×C22⋊C4×D61C22semidirect
63. C2×C22⋊C4×D61C22semidirect
64. C2×C22⋊C4×D61C22semidirect
65. #16839669C22semidirect
66. #16839668C22semidirect
67. #16839667C22semidirect
68. #16839666C22semidirect
69. #16839666C22semidirect
70. #16839666C22semidirect
71. #16839666C22semidirect
81. #16839656C22semidirect
82. #16839656C22semidirect
83. #16839655C22semidirect
84. #16839655C22semidirect
85. #16839655C22semidirect
86. #16839655C22semidirect
87. #16839654C22semidirect
88. #16839654C22semidirect
89. #16839654C22semidirect
90. #16839654C22semidirect
91. #16839654C22semidirect
92. #16839654C22semidirect
93. #16839654C22semidirect
94. #16839654C22semidirect
95. #16839654C22semidirect
96. #16839653C22semidirect
97. #16839653C22semidirect
98. #16839653C22semidirect
99. #16839653C22semidirect
100. #16839653C22semidirect
101. #16839652C22semidirect
102. #16839652C22semidirect
103. #16839652C22semidirect
104. #16839651C22semidirect
105. #16839651C22semidirect
106. #16839651C22semidirect
107. #16839651C22semidirect
108. #16839651C22semidirect
109. #16839651C22semidirect
110. #16839651C22semidirect
111. #16839650C22semidirect
112. #16839650C22semidirect
129. #16839637C22semidirect
130. #16839637C22semidirect
131. #16839636C22semidirect
132. #16839636C22semidirect
133. #16839636C22semidirect
134. #16839636C22semidirect
135. #16839636C22semidirect
136. #16839636C22semidirect
137. #16839636C22semidirect
138. #16839635C22semidirect
139. #16839634C22semidirect
140. #16839633C22semidirect
141. #16839633C22semidirect
142. #16839633C22semidirect
143. #16839633C22semidirect
144. #16839633C22semidirect
145. #16839629C22semidirect
146. #16839627C22semidirect
147. #16839626C22semidirect
148. #16839626C22semidirect
149. #16839617C22semidirect
150. #16839617C22semidirect
151. C4⋊C4×Dic61C22semidirect
152. C4×#11758196C22semidirect
153. C4×C4⋊Dic61C22semidirect
154. C4×C4⋊Dic61C22semidirect
155. #16839613C22semidirect
156. C22⋊C4×Dic61C22semidirect
157. C22⋊C4×Dic61C22semidirect
158. C22⋊C4×Dic61C22semidirect
159. C4×#11758198C22semidirect
160. C4×#11758198C22semidirect
161. C4×#11758198C22semidirect
162. C4×C22⋊Dic61C22semidirect
163. #16839609C22semidirect
164. #16839609C22semidirect
165. #16839609C22semidirect
166. #16839609C22semidirect
167. #16839609C22semidirect
168. #16839609C22semidirect
169. #16839609C22semidirect
170. #16839609C22semidirect
171. #16839609C22semidirect
172. C42×Dic61C22semidirect
174. C61×#391C22semidirect
175. C61×#391C22semidirect
176. C61×#388C22semidirect
177. C61×#388C22semidirect
178. C61×#388C22semidirect
179. C61×#388C22semidirect
182. C61×#385C22semidirect
183. C61×#385C22semidirect
184. C61×#383C22semidirect
185. C4×C4⋊C4×C61C22semidirect
186. C4×C22⋊C4×C61C22semidirect
187. C4×C22⋊C4×C61C22semidirect
210. #14519766C2×C4semidirect
211. #14519766C2×C4semidirect
212. #14519765C2×C4semidirect
213. #14519765C2×C4semidirect
214. #14519763C2×C4semidirect
215. #14519763C2×C4semidirect
216. #14519763C2×C4semidirect
217. #14519763C2×C4semidirect
218. #14519747C2×C4semidirect
219. #14519747C2×C4semidirect
220. #14519747C2×C4semidirect
221. #14519747C2×C4semidirect
222. #14519745C2×C4semidirect
223. #14519745C2×C4semidirect
344. #124×C61C2×C4semidirect
840. #2337D61semidirect
904. #391C2×D61semidirect
905. #391C2×D61semidirect
947. #388C2×D61semidirect
948. #388C2×D61semidirect
949. #388C2×D61semidirect
950. #388C2×D61semidirect
985. #385C2×D61semidirect
986. #385C2×D61semidirect
988. #383C2×D61semidirect
999. C4×C4⋊C4C2×D61semidirect
1016. C4×C22⋊C4C2×D61semidirect
1017. C4×C22⋊C4C2×D61semidirect
1019. C61#34529semidirect
1054. #124C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168405042
#214489922
#214489912
#214489882
#214488952
#214488942
#214488912
#214488902
#214488882
#214488872
#214488022
#214488012
#214487992
#214487972
#214487952
#214486312
#214486302
#214486292
#214486262
#214484822
#214484812
#214484792
#214484752
#214484722
#214483622
#214483602
C4×#145197632
C61×#23372
#3452961