Finite Group Databasebeta

← #29843358

Subgroups — #29843358

Order 15616.

2874 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840328C211yesmaximal, characteristic
2#21448994C211yesmaximal, characteristic, complemented
3#21448988C211yesmaximal, characteristic, complemented
4#21448976C211yesmaximal, characteristic, complemented
5#21448971C211yesmaximal, characteristic, complemented
6#21448927C211yesmaximal, characteristic, complemented
7#21448881C211yesmaximal, characteristic, complemented
8#21448868C211yesmaximal, characteristic, complemented
9#21448802C211yesmaximal, characteristic, complemented
10#21448801C211yesmaximal, characteristic, complemented
11#21448797C211yesmaximal, characteristic, complemented
12#21448796C211yesmaximal, characteristic, complemented
13#21448678C211yesmaximal, characteristic, complemented
14#21448674C211yesmaximal, characteristic, complemented
15#21448650C211yesmaximal, characteristic, complemented
16#21448646C211yesmaximal, characteristic, complemented
17#21448627C211yesmaximal, characteristic, complemented
18#21448626C211yesmaximal, characteristic, complemented
19#21448584C211yesmaximal, characteristic, complemented
20#21448583C211yesmaximal, characteristic, complemented
21#21448541C211yesmaximal, characteristic, complemented
22#21448540C211yesmaximal, characteristic, complemented
23#21448522C211yesmaximal, characteristic, complemented
24#21448518C211yesmaximal, characteristic, complemented
25#21448481C211yesmaximal, characteristic, complemented
26#21448475C211yesmaximal, characteristic, complemented
27#21448393C211yesmaximal, characteristic, complemented
28C4×#14519747C211yesmaximal, characteristic, complemented
29C4×#14519745C211yesmaximal, characteristic, complemented
30#386×D61C211yesmaximal, characteristic, complemented
31C61×#2364C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840328C4116yescomplemented
36C2×#14519773C2211yescharacteristic
37C2×#14519773C2211yescharacteristic
38C2×#14519763C2211yescharacteristic
39C2×#14519763C2211yescharacteristic
40C2×#14519752C2211yescharacteristic
41C2×#14519751C2211yescharacteristic
42C2×#14519748C2211yescharacteristic
43C2×#14519747C2211yescharacteristic
44C2×#14519747C2211yescharacteristic
45C2×#14519745C2211yescharacteristic
46C2×#14519745C2211yescharacteristic
47C2×C4×D244C2211yescharacteristic
48C2×C4×D244C2211yescharacteristic
49C2×C4×D244C2211yescharacteristic, complemented
50C2×#14519739C2211yescharacteristic, complemented
51C2×C4×C22⋊D61C2211yescharacteristic
52C2×C4×C22⋊D61C2211yescharacteristic
53C2×C4×C22⋊D61C2211yescharacteristic, complemented
54C2×C4×C22⋊D61C2211yescharacteristic, complemented
55C2×C4×C22⋊D61C2211yescharacteristic, complemented
56C2×#14519737C2211yescharacteristic, complemented
57C2×#14519735C2211yescharacteristic
58C22×#11758198C2211yescharacteristic
59C2×C22⋊C4×D61C2211yescharacteristic
60C2×C22⋊C4×D61C2211yescharacteristic
61C2×C22⋊C4×D61C2211yescharacteristic
62C2×C22⋊C4×D61C2211yescharacteristic
63#16839668C2211yescharacteristic, complemented
64#16839668C2211yescharacteristic, complemented
65#16839666C2211yescharacteristic, complemented
66#16839666C2211yescharacteristic, complemented
67#16839665C2211yescharacteristic, complemented
68#16839665C2211yescharacteristic, complemented
69#16839664C2211yescharacteristic, complemented
70#16839663C2211yescharacteristic, complemented
71#16839662C2211yescharacteristic, complemented
72#16839662C2211yescharacteristic, complemented
73#16839662C2211yescharacteristic, complemented
74#16839662C2211yescharacteristic, complemented
75#16839656C2211yescharacteristic, complemented
76#16839656C2211yescharacteristic, complemented
77#16839655C2211yescharacteristic, complemented
78#16839655C2211yescharacteristic, complemented
79#16839654C2211yescharacteristic, complemented
80#16839654C2211yescharacteristic, complemented
81#16839654C2211yescharacteristic, complemented
82#16839653C2211yescharacteristic, complemented
83#16839653C2211yescharacteristic, complemented
84#16839653C2211yescharacteristic, complemented
85#16839652C2211yescharacteristic, complemented
86#16839651C2211yescharacteristic, complemented
87#16839650C2211yescharacteristic, complemented
88#16839650C2211yescharacteristic, complemented
89#16839648C2211yescharacteristic, complemented
90#16839648C2211yescharacteristic, complemented
91#16839647C2211yescharacteristic, complemented
92#16839647C2211yescharacteristic, complemented
93#16839645C2211yescharacteristic, complemented
94#16839645C2211yescharacteristic, complemented
95#16839642C2211yescharacteristic
96#16839642C2211yescharacteristic
97#16839642C2211yescharacteristic, complemented
98#16839642C2211yescharacteristic, complemented
99#16839641C2211yescharacteristic
100#16839641C2211yescharacteristic
101#16839641C2211yescharacteristic, complemented
102#16839641C2211yescharacteristic, complemented
103#16839641C2211yescharacteristic, complemented
104#16839641C2211yescharacteristic, complemented
105#16839641C2211yescharacteristic, complemented
106#16839640C2211yescharacteristic
107#16839640C2211yescharacteristic
108#16839640C2211yescharacteristic
109#16839640C2211yescharacteristic
110#16839640C2211yescharacteristic
111#16839640C2211yescharacteristic
112#16839640C2211yescharacteristic, complemented
113#16839640C2211yescharacteristic, complemented
114#16839640C2211yescharacteristic, complemented
115#16839640C2211yescharacteristic, complemented
116#16839639C2211yescharacteristic
117#16839639C2211yescharacteristic
118#16839639C2211yescharacteristic, complemented
119#16839638C2211yescharacteristic
120#16839638C2211yescharacteristic
121#16839638C2211yescharacteristic
122#16839638C2211yescharacteristic
123#16839638C2211yescharacteristic
124#16839638C2211yescharacteristic
125#16839638C2211yescharacteristic, complemented
126#16839638C2211yescharacteristic, complemented
127#16839638C2211yescharacteristic, complemented
128#16839638C2211yescharacteristic, complemented
129#16839638C2211yescharacteristic, complemented
130#16839638C2211yescharacteristic, complemented
131#16839637C2211yescharacteristic, complemented
132#16839637C2211yescharacteristic, complemented
133#16839636C2211yescharacteristic
134#16839636C2211yescharacteristic
135#16839636C2211yescharacteristic, complemented
136#16839636C2211yescharacteristic, complemented
137#16839636C2211yescharacteristic, complemented
138#16839635C2211yescharacteristic, complemented
139#16839634C2211yescharacteristic, complemented
140#16839633C2211yescharacteristic
141#16839633C2211yescharacteristic
142#16839633C2211yescharacteristic, complemented
143#16839629C2211yescharacteristic, complemented
144#16839629C2211yescharacteristic, complemented
145#16839627C2211yescharacteristic, complemented
146#16839626C2211yescharacteristic, complemented
147#16839625C2211yescharacteristic, complemented
148#16839624C2211yescharacteristic
149#16839624C2211yescharacteristic
150#16839624C2211yescharacteristic, complemented
151#16839622C2211yescharacteristic, complemented
152#16839621C2211yescharacteristic, complemented
153#16839617C2211yescharacteristic
154#16839617C2211yescharacteristic
155C4⋊C4×Dic61C2211yescharacteristic, complemented
156C4×#11758196C2211yescharacteristic, complemented
157C22⋊C4×Dic61C2211yescharacteristic, complemented
158C4×#11758198C2211yescharacteristic
159C4×#11758198C2211yescharacteristic
160C4×#11758198C2211yescharacteristic, complemented
161C4×#11758198C2211yescharacteristic, complemented
162C4×#11758198C2211yescharacteristic, complemented
163C4×C22⋊Dic61C2211yescharacteristic, complemented
164#16839609C2211yescharacteristic
165#16839609C2211yescharacteristic
166#16839609C2211yescharacteristic, complemented
167#16839609C2211yescharacteristic, complemented
168#16839608C2211yescharacteristic, complemented
169#16839607C2211yescharacteristic, complemented
170#95×D61C2211yescharacteristic
171#95×D61C2211yescharacteristic
172#95×D61C2211yescharacteristic, complemented
173C2×#121×C61C2211yescharacteristic
174C2×C4×D4×C61C2211yescharacteristic, complemented
175C2×C4×D4×C61C2211yescharacteristic, complemented
176C61×#388C2211yescharacteristic, complemented
177C61×#388C2211yescharacteristic, complemented
178C61×#387C2211yescharacteristic, complemented
179C61×#387C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic
182C61×#386C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic, complemented
184C4×C22⋊C4×C61C2211yescharacteristic, complemented
185C4×C22⋊C4×C61C2211yescharacteristic, complemented
186C4×C22⋊C4×C61C2211yescharacteristic, complemented
187C2×#95×C61C2211yescharacteristic, complemented
188C24×D61C2311yescharacteristic
189C24×D61C2311yescharacteristic
190C2×#11758222—42no—
191C2×#11758222—42no—
192C2×#11758222C2×C418yescomplemented
193C22×Dic122C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C2×D4×D61—42no—
207C2×D4×D61—42no—
208C2×D4×D61C2×C418yescomplemented
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C22×C4×D61—42no—
212C22×C4×D61—42no—
213C22×C4×D61—42no—
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226#14519773C2×C418yescomplemented
227#14519773C2×C418yescomplemented
228#14519763C2×C418yescomplemented
229#14519763C2×C418yescomplemented
230#14519752C2×C418yescomplemented
231#14519751C2×C418yescomplemented
232#14519748C2×C418yescomplemented
233#14519747C2×C418yescomplemented
234#14519747C2×C418yescomplemented
235#14519745C2×C418yescomplemented
236#14519745C2×C418yescomplemented
237C4×D244—42no—
238C4×D244—42no—
239C4×D244—42no—
240#14519739—42no—
241C4×C22⋊D61—42no—
242C4×C22⋊D61—42no—
243C4×C22⋊D61—42no—
244C4×C22⋊D61—42no—
245C4×C22⋊D61—42no—
246#14519737—42no—
247#14519735C2×C418yescomplemented
248C2×C4⋊Dic61C2311yescharacteristic
249C2×C4⋊Dic61C2311yescharacteristic
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
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×#11758198—42no—
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C22⋊C4×D61—42no—
301C22⋊C4×D61—42no—
302C22⋊C4×D61—42no—
303C22⋊C4×D61—42no—
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
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
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344C22×D4×C61C2311yescharacteristic
345C22×D4×C61C2311yescharacteristic
346C22×D4×C61C2311yescharacteristic
347C23×C4×C61C2311yescharacteristic
348C23×C4×C61C2311yescharacteristic
349C23×C4×C61C2311yescharacteristic
350C23×C4×C61C2311yescharacteristic
351C23×C4×C61C2311yescharacteristic
352#121×C61C2×C418yescomplemented
353C4×D4×C61—42no—
354C4×D4×C61—42no—
355C2×C4⋊C4×C61C2311yescharacteristic
356C2×C4⋊C4×C61C2311yescharacteristic
357C2×C4⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C42×C61C2311yescharacteristic
369C2×C42×C61C2311yescharacteristic
370C2×C42×C61C2311yescharacteristic
371C2×C42×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376#95×C61C2311yescharacteristic
377#95×C61C2311yescharacteristic
378#95×C61C2311yescharacteristic
379#95×C61C2311yescharacteristic
380#95×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382C24×C61C2411yescharacteristic
383C24×C61C2411yescharacteristic
384C24×C61C2411yescharacteristic
385C23×D61—22no—
386C23×D61—22no—
387C23×D61—22no—
388C23×D61—22no—
389C23×D61—41no—
390C23×D61—41no—
391C23×D61—41no—
392C23×D61—41no—
393C23×D61—41no—
394C23×D61—41no—
395C23×D61—41no—
396C23×D61—41no—
397C23×D61C22×C414yes—
398C23×D61C22×C414yes—
399C23×D61C2411yescharacteristic
400C23×D61C2411yescharacteristic
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C2×D4×C61—41no—
404C2×D4×C61—41no—
405C2×D4×C61—41no—
406C2×D4×C61—41no—
407C2×D4×C61—41no—
408C2×D4×C61—41no—
409C2×D4×C61C22×C414yes—
410C2×D4×C61C22×C414yes—
411C2×D4×C61C22×C414yescomplemented
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×C61—41no—
419C22×C4×C61—41no—
420C22×C4×C61—41no—
421C22×C4×C61—41no—
422C22×C4×C61—41no—
423C22×C4×C61—41no—
424C22×C4×C61—41no—
425C22×C4×C61—41no—
426C22×C4×C61C22×C414yescomplemented
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
439C2×C22⋊D61—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—41no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61—41no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61—41no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61C22×C414yes—
456C2×C22⋊D61C22×C414yes—
457C2×C22⋊D61C22×C414yes—
458C2×C22⋊D61C22×C414yes—
459C2×C22⋊D61C22×C414yes—
460C2×C22⋊D61C22×C414yescomplemented
461C2×C22⋊D61C22×C414yescomplemented
462C2×C22⋊D61C22×C414yescomplemented
463C22×Dic61—41no—
464C22×Dic61—41no—
465C22×Dic61—41no—
466C22×Dic61—41no—
467C22×Dic61—41no—
468C22×Dic61—41no—
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481D4×D61—416no—
482#11758222—416no—
483C2×D244—22no—
484C2×D244—22no—
485C2×D244—41no—
486C2×D244—41no—
487C2×D244—41no—
488C2×D244—41no—
489C2×D244—41no—
490C2×D244—41no—
491C2×D244C22×C414yes—
492C2×D244C22×C414yes—
493C2×D244C22×C414yes—
494C2×D244C22×C414yescomplemented
495C2×C4×D61—22no—
496C2×C4×D61—22no—
497C2×C4×D61—22no—
498C2×C4×D61—22no—
499C2×C4×D61—22no—
500C2×C4×D61—22no—
501C2×C4×D61—22no—
502C2×C4×D61—22no—
503C2×C4×D61—22no—
504C2×C4×D61—22no—
505C2×C4×D61—22no—
506C2×C4×D61—41no—
507C2×C4×D61—41no—
508C2×C4×D61—41no—
509C2×C4×D61—41no—
510C2×C4×D61—41no—
511C2×C4×D61—41no—
512C2×C4×D61—41no—
513C2×C4×D61—41no—
514C2×C4×D61—416no—
515C2×C4×D61—41no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C2×C4×D61—41no—
525C2×C4×D61—41no—
526C2×C4×D61—41no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C2×C4×D61—41no—
530C2×C4×D61C22×C414yes—
531C2×C4×D61C22×C414yescomplemented
532C2×Dic122—41no—
533C2×Dic122—41no—
534C2×Dic122C22×C414yescomplemented
535C4⋊C4×C61—22no—
536C4⋊C4×C61—41no—
537C4⋊C4×C61C22×C414yescomplemented
538C22⋊C4×C61—22no—
539C22⋊C4×C61—22no—
540C22⋊C4×C61—22no—
541C22⋊C4×C61—41no—
542C22⋊C4×C61—41no—
543C22⋊C4×C61—41no—
544C22⋊C4×C61—41no—
545C22⋊C4×C61—41no—
546C22⋊C4×C61C22×C414yes—
547C22⋊C4×C61C22×C414yescomplemented
548C42×C61—22no—
549C42×C61—41no—
550C42×C61—41no—
551C42×C61—41no—
552C22⋊Dic61—41no—
553C22⋊Dic61—41no—
554C22⋊Dic61—41no—
555C22⋊Dic61—41no—
556C22⋊Dic61—41no—
557C22⋊Dic61—41no—
558C22⋊Dic61—41no—
559C22⋊Dic61—41no—
560C22⋊Dic61—41no—
561C22⋊Dic61—41no—
562C22⋊Dic61C22×C414yes—
563C22⋊Dic61C22×C414yescomplemented
564#11758198—22no—
565#11758198—22no—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—22no—
570#11758198—22no—
571#11758198—41no—
572#11758198—41no—
573#11758198—41no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578#11758198—41no—
579#11758198—41no—
580#11758198—41no—
581#11758198—41no—
582#11758198—41no—
583#11758198—41no—
584#11758198—41no—
585#11758198—41no—
586#11758198C22×C414yes—
587#11758198C22×C414yes—
588#11758198C22×C414yes—
589#11758198C22×C414yes—
590#11758198C22×C414yescomplemented
591#11758198C22×C414yescomplemented
592C4⋊Dic61—41no—
593C4⋊Dic61—41no—
594C4⋊Dic61—41no—
595C4⋊Dic61—41no—
596C4⋊Dic61C22×C414yescomplemented
597#11758196—22no—
598#11758196—41no—
599#11758196—41no—
600#11758196—41no—
601#11758196—41no—
602#11758196—41no—
603C4×Dic61—22no—
604C4×Dic61—41no—
605C4×Dic61—41no—
606C4×Dic61—41no—
607C4×Dic61—41no—
608C4×Dic61—41no—
609C4×Dic61—41no—
610C4×Dic61—41no—
611C4×Dic61C22×C414yescomplemented
612C4×Dic61C22×C414yescomplemented
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61C23×C412yes—
632C23×C61C23×C412yes—
633C23×C61C23×C412yes—
634C23×C61C2511yescharacteristic
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—21no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—28no—
658C22×D61—28no—
659C22×D61—44no—
660C22×D61—44no—
661C22×D61—44no—
662C22×D61—44no—
663C22×D61—44no—
664C22×D61—44no—
665C22×D61—44no—
666C22×D61—44no—
667C22×D61—82no—
668C22×D61—82no—
669C22×D61—82no—
670C22×D61—82no—
671C22×D61C23×C412yes—
672C22×D61C23×C412yes—
673C22×D61C23×C412yes—
674C22×D61C23×C412yes—
675C22×D61H(5,𝔽2)12yes—
676C22×D61H(5,𝔽2)12yes—
677D4×C61—44no—
678D4×C61—44no—
679D4×C61—44no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—44no—
711C2×C4×C61—44no—
712C2×C4×C61—82no—
713C2×C4×C61—82no—
714C2×C4×C61—82no—
715C2×C4×C61C23×C412yes—
716C2×C4×C61C23×C412yes—
717C2×C4×C61C23×C412yes—
718C2×C4×C61C23×C412yes—
719C2×C4×C61H(5,𝔽2)12yes—
720C2×C4×C61H(5,𝔽2)12yes—
721C22⋊D61—28no—
722C22⋊D61—44no—
723C22⋊D61—44no—
724C22⋊D61—44no—
725C22⋊D61—44no—
726C22⋊D61—44no—
727C22⋊D61—44no—
728C22⋊D61—44no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—44no—
762C2×Dic61—82no—
763C2×Dic61C23×C412yes—
764C2×Dic61C23×C412yes—
765C2×Dic61C23×C412yes—
766C2×Dic61C23×C412yes—
767D244—28no—
768D244—44no—
769D244—44no—
770D244—44no—
771C4×D61—28no—
772C4×D61—44no—
773C4×D61—44no—
774C4×D61—44no—
775C4×D61—44no—
776C4×D61—44no—
777C4×D61—82no—
778C4×D61—82no—
779C4×D61—82no—
780C4×D61—82no—
781C4×D61—82no—
782C4×D61—82no—
783Dic122—44no—
784#34406—611nomaximal, Sylow
785C22×C61—22no—
786C22×C61—22no—
787C22×C61—22no—
788C22×C61—22no—
789C22×C61—22no—
790C22×C61—22no—
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—22no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61C24×C411yescharacteristic
807C22×C61C2×H(5,𝔽2)11yescharacteristic
808C22×C61C2×H(5,𝔽2)11yescharacteristic
809C22×C61C2×H(5,𝔽2)11yescharacteristic
810C22×C61C2×H(5,𝔽2)11yescharacteristic
811C22×C61#58511yescharacteristic
812C22×C61#58511yescharacteristic
813C2×D61—22no—
814C2×D61—22no—
815C2×D61—22no—
816C2×D61—22no—
817C2×D61—22no—
818C2×D61—22no—
819C2×D61—22no—
820C2×D61—22no—
821C2×D61—22no—
822C2×D61—22no—
823C2×D61—22no—
824C2×D61—22no—
825C2×D61—22no—
826C2×D61—22no—
827C2×D61—22no—
828C2×D61—416no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—88no—
842C2×D61#51814yes—
843C4×C61—22no—
844C4×C61—22no—
845C4×C61—22no—
846C4×C61—22no—
847C4×C61—22no—
848C4×C61—22no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855Dic61—22no—
856Dic61—22no—
857Dic61—22no—
858Dic61—22no—
859Dic61—41no—
860Dic61—41no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867C2×#535—611no—
868#2380—611no—
869#2379—611no—
870#2377—611no—
871#2377—611no—
872#2372—611no—
873#2366—611no—
874#2364—611no—
875#2364D6111yescharacteristic, complemented
876#2358—611no—
877#2358—611no—
878#2358—611no—
879#2358—611no—
880#2343—611no—
881#2343—611no—
882#2339—611no—
883#2339—611no—
884#2337—611no—
885#2337—611no—
886#2333—611no—
887#2333—611no—
888#2328—611no—
889#2328—611no—
890#2325—611no—
891#2325—611no—
892#2321—611no—
893#2321—611no—
894#2308—611no—
895C4×#120—611no—
896C4×#120—611no—
897C2×#386—611no—
898C2×C61—42no—
899C2×C61—42no—
900C2×C61—42no—
901C2×C61C2×#51811yescharacteristic
902C2×C61C4×H(5,𝔽2)11yescharacteristic
903C2×C61C4×H(5,𝔽2)11yescharacteristic
904C2×C61#353211yescharacteristic
905C2×C61#353311yescharacteristic
906C2×C61#354211yescharacteristic
907C2×C61#354211yescharacteristic
908D61—24no—
909D61—42no—
910D61—42no—
911D61—42no—
912C22×#41—611no—
913C23×D4—611no—
914C24×C4—611no—
915#535—6116no—
916C2×#127—611no—
917C2×#127—611no—
918C2×#124—611no—
919C2×#124—611no—
920C2×#121—611no—
921C2×#121—611no—
922C2×#121—611no—
923C2×#121C2×D6111yescharacteristic
924C2×#120—611no—
925C2×#120—611no—
926C2×#120—611no—
927C2×#120—611no—
928C2×C4×D4—611no—
929C2×C4×D4—611no—
930C2×C4×D4—611no—
931C2×C4×D4—611no—
932C2×C4×D4—611no—
933C2×C4×D4—611no—
934C2×C4×D4—611no—
935C2×C4×D4—611no—
936C2×C4×D4—611no—
937C2×C4×D4—611no—
938C2×C4×D4C2×D6111yescharacteristic, complemented
939C2×C4×D4C2×D6111yescharacteristic, complemented
940C2×#117—611no—
941C22×C22⋊C4—611no—
942C22×C22⋊C4—611no—
943C22×C22⋊C4—611no—
944C22×C22⋊C4—611no—
945C22×C22⋊C4—611no—
946#391—611no—
947#391—611no—
948#391—611no—
949#391—611no—
950#390—611no—
951#390—611no—
952#390—611no—
953#390—611no—
954#390—611no—
955#390—611no—
956#390—611no—
957#390—611no—
958#388—611no—
959#388—611no—
960#388—611no—
961#388—611no—
962#388—611no—
963#388—611no—
964#388—611no—
965#388—611no—
966#388—611no—
967#388—611no—
968#388—611no—
969#388—611no—
970#388—611no—
971#388—611no—
972#388C2×D6111yescharacteristic, complemented
973#388C2×D6111yescharacteristic, complemented
974#387—611no—
975#387—611no—
976#387—611no—
977#387—611no—
978#387—611no—
979#387—611no—
980#387C2×D6111yescharacteristic, complemented
981#387C2×D6111yescharacteristic, complemented
982#386—611no—
983#386—611no—
984#386—611no—
985#386—611no—
986#386—611no—
987#386—611no—
988#386—611no—
989#386—611no—
990#386—611no—
991#386—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#386—611no—
997#386—611no—
998#386—611no—
999#386—611no—
1000#386—611no—
1001#386—611no—
1002#386—611no—
1003#386—611no—
1004#386—611no—
1005#386—611no—
1006#386—611no—
1007#386—611no—
1008#386—611no—
1009#386—611no—
1010#386—611no—
1011#386—611no—
1012#386—611no—
1013#386—611no—
1014#386—611no—
1015#386—611no—
1016#386—611no—
1017#386—611no—
1018#386C2×D6111yescharacteristic
1019#386C2×D6111yescharacteristic
1020#386C2×D6111yescharacteristic, complemented
1021#386C2×D6111yescharacteristic, complemented
1022#385—611no—
1023#385—611no—
1024#385—611no—
1025#385—611no—
1026#385—611no—
1027#385—611no—
1028#385—611no—
1029#385—611no—
1030#385—611no—
1031#385—611no—
1032#385—611no—
1033#385—611no—
1034#383—611no—
1035#383—611no—
1036#382—611no—
1037#382—611no—
1038#381—611no—
1039#381—611no—
1040#381—611no—
1041#381—611no—
1042#380—611no—
1043#380—611no—
1044#379—611no—
1045#379—611no—
1046C4×C4⋊C4—611no—
1047C4×C4⋊C4—611no—
1048C4×C22⋊C4—611no—
1049C4×C22⋊C4—611no—
1050C4×C22⋊C4—611no—
1051C4×C22⋊C4—611no—
1052C4×C22⋊C4—611no—
1053C4×C22⋊C4—611no—
1054C4×C22⋊C4—611no—
1055C4×C22⋊C4—611no—
1056C4×C22⋊C4—611no—
1057C4×C22⋊C4—611no—
1058C4×C22⋊C4—611no—
1059C4×C22⋊C4C2×D6111yescharacteristic, complemented
1060C4×C22⋊C4C2×D6111yescharacteristic, complemented
1061C4×C22⋊C4C2×D6111yescharacteristic, complemented
1062#376—611no—
1063#376—611no—
1064C2×#95—611no—
1065C2×#95—611no—
1066C2×#95—611no—
1067C2×#95C2×D6111yescharacteristic, complemented
1068C61#3440611yescharacteristic, complemented, Sylow
1069C25—611no—
1070C25—611no—
1071C2×#41—618no—
1072C2×#41—2442no—
1073C2×#41—2442no—
1074C22×Q8—611no—
1075C22×D4—611no—
1076C22×D4—611no—
1077C22×D4—611no—
1078C22×D4—611no—
1079C22×D4—611no—
1080C22×D4—611no—
1081C22×D4—611no—
1082C22×D4—611no—
1083C22×D4—618no—
1084C22×D4—611no—
1085C22×D4—611no—
1086C22×D4—611no—
1087C22×D4—611no—
1088C22×D4—2442no—
1089C22×D4—2442no—
1090C22×D4C22×D6111yescharacteristic
1091C22×D4C22×D6111yescharacteristic
1092C22×D4C22×D6111yescharacteristic
1093C23×C4—611no—
1094C23×C4—611no—
1095C23×C4—611no—
1096C23×C4—611no—
1097C23×C4—611no—
1098C23×C4—611no—
1099C23×C4—611no—
1100C23×C4—611no—
1101C23×C4—611no—
1102C23×C4—611no—
1103C23×C4—611no—
1104C23×C4—611no—
1105C23×C4—611no—
1106C23×C4—611no—
1107C23×C4—2442no—
1108C23×C4—2442no—
1109C23×C4—2442no—
1110C23×C4C22×D6111yescharacteristic
1111C23×C4C22×D6111yescharacteristic
1112C23×C4C22×D6111yescharacteristic
1113C23×C4C22×D6111yescharacteristic
1114C23×C4C22×D6111yescharacteristic
1115#127—618no—
1116#127—618no—
1117#124—618no—
1118#124—618no—
1119#121—618no—
1120#121—618no—
1121#121—618no—
1122#121C4×D6118yescomplemented
1123#120—618no—
1124#120—618no—
1125#120—618no—
1126#120—618no—
1127C4×D4—42no—
1128C4×D4—42no—
1129C4×D4—2442no—
1130C4×D4—2442no—
1131C4×D4—2442no—
1132C4×D4—2442no—
1133C4×D4—2442no—
1134C4×D4—2442no—
1135C4×D4—2442no—
1136C4×D4—2442no—
1137C4×D4—2442no—
1138C4×D4—2442no—
1139#117—618no—
1140C2×C4⋊C4—611no—
1141C2×C4⋊C4—611no—
1142C2×C4⋊C4—611no—
1143C2×C4⋊C4—611no—
1144C2×C4⋊C4—611no—
1145C2×C4⋊C4—611no—
1146C2×C4⋊C4—611no—
1147C2×C4⋊C4—611no—
1148C2×C4⋊C4—611no—
1149C2×C4⋊C4—611no—
1150C2×C4⋊C4—611no—
1151C2×C4⋊C4C22×D6111yescharacteristic
1152C2×C4⋊C4C22×D6111yescharacteristic
1153C2×C4⋊C4C22×D6111yescharacteristic
1154C2×C22⋊C4—611no—
1155C2×C22⋊C4—611no—
1156C2×C22⋊C4—611no—
1157C2×C22⋊C4—611no—
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—2442no—
1195C2×C22⋊C4—2442no—
1196C2×C22⋊C4—2442no—
1197C2×C22⋊C4—2442no—
1198C2×C22⋊C4—2442no—
1199C2×C22⋊C4C22×D6111yescharacteristic
1200C2×C22⋊C4C22×D6111yescharacteristic
1201C2×C22⋊C4C22×D6111yescharacteristic
1202C2×C22⋊C4C22×D6111yescharacteristic
1203C2×C22⋊C4C22×D6111yescharacteristic
1204C2×C22⋊C4C22×D6111yescharacteristic
1205C2×C22⋊C4C22×D6111yescharacteristic
1206C2×C22⋊C4C22×D6111yescharacteristic
1207C2×C22⋊C4C22×D6111yescharacteristic
1208C2×C22⋊C4C22×D6111yescharacteristic
1209C2×C42—611no—
1210C2×C42—611no—
1211C2×C42—611no—
1212C2×C42—611no—
1213C2×C42—611no—
1214C2×C42—611no—
1215C2×C42—611no—
1216C2×C42—611no—
1217C2×C42—611no—
1218C2×C42—611no—
1219C2×C42C22×D6111yescharacteristic
1220C2×C42C22×D6111yescharacteristic
1221C2×C42C22×D6111yescharacteristic
1222C2×C42C22×D6111yescharacteristic
1223#95—611no—
1224#95—611no—
1225#95—611no—
1226#95—611no—
1227#95—611no—
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#95—611no—
1234#95—611no—
1235#95—611no—
1236#95—611no—
1237#95—611no—
1238#95—611no—
1239#95—611no—
1240#95—611no—
1241#95—611no—
1242#95—611no—
1243#95—611no—
1244#95—611no—
1245#95—611no—
1246#95—611no—
1247#95—611no—
1248#95—611no—
1249#95—611no—
1250#95—611no—
1251#95—611no—
1252#95—611no—
1253#95C22×D6111yescharacteristic
1254#95C22×D6111yescharacteristic
1255#95C22×D6111yescharacteristic
1256#95C22×D6111yescharacteristic
1257#95C22×D6111yescharacteristic
1258#95C22×D6111yescharacteristic
1259#95C22×D6111yescharacteristic
1260#95C22×D6111yescharacteristic
1261#95C22×D6111yescharacteristic
1262#95C22×D6111yescharacteristic
1263C24—611no—
1264C24—611no—
1265C24—611no—
1266C24—611no—
1267C24—614no—
1268C24—614no—
1269C24—1222no—
1270C24—1222no—
1271C24—1222no—
1272C24—1222no—
1273C24—2441no—
1274C24—2441no—
1275C24—2441no—
1276C24—2441no—
1277C24—2441no—
1278C24—2441no—
1279C24—2441no—
1280C24—2441no—
1281C24C23×D6111yescharacteristic
1282C24C23×D6111yescharacteristic
1283C24C23×D6111yescharacteristic
1284#41—24416no—
1285C2×Q8—614no—
1286C2×Q8—2441no—
1287C2×Q8—2441no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—614no—
1295C2×D4—614no—
1296C2×D4—614no—
1297C2×D4—614no—
1298C2×D4—614no—
1299C2×D4—614no—
1300C2×D4—614no—
1301C2×D4—614no—
1302C2×D4—614no—
1303C2×D4—614no—
1304C2×D4—614no—
1305C2×D4—614no—
1306C2×D4—1222no—
1307C2×D4—1222no—
1308C2×D4—1222no—
1309C2×D4—1222no—
1310C2×D4—2441no—
1311C2×D4—2441no—
1312C2×D4—2441no—
1313C2×D4—2441no—
1314C2×D4—2441no—
1315C2×D4—2441no—
1316C2×D4—24416no—
1317C2×D4—2441no—
1318C2×D4—2441no—
1319C2×D4—2441no—
1320C2×D4—2441no—
1321C2×D4—2441no—
1322C2×D4—2441no—
1323C2×D4—2441no—
1324C2×D4—2441no—
1325C2×D4—2441no—
1326C2×D4—2441no—
1327C2×D4—2441no—
1328C2×D4—2441no—
1329C2×D4—2441no—
1330C2×D4—2441no—
1331C2×D4C2×C4×D6114yes—
1332C2×D4C2×C4×D6114yes—
1333C2×D4C2×C4×D6114yescomplemented
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—611no—
1349C22×C4—611no—
1350C22×C4—611no—
1351C22×C4—611no—
1352C22×C4—614no—
1353C22×C4—614no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—1222no—
1363C22×C4—1222no—
1364C22×C4—1222no—
1365C22×C4—1222no—
1366C22×C4—1222no—
1367C22×C4—1222no—
1368C22×C4—1222no—
1369C22×C4—1222no—
1370C22×C4—1222no—
1371C22×C4—1222no—
1372C22×C4—1222no—
1373C22×C4—2441no—
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×C4—2441no—
1394C22×C4—2441no—
1395C22×C4—2441no—
1396C22×C4—24416no—
1397C22×C4—2441no—
1398C22×C4—2441no—
1399C22×C4—2441no—
1400C22×C4—2441no—
1401C22×C4—2441no—
1402C22×C4—2441no—
1403C22×C4C2×C4×D6114yescomplemented
1404C22×C4C23×D6111yescharacteristic
1405C22×C4C23×D6111yescharacteristic
1406C22×C4C23×D6111yescharacteristic
1407C22×C4C23×D6111yescharacteristic
1408C22×C4C23×D6111yescharacteristic
1409C22×C4C23×D6111yescharacteristic
1410C22×C4C23×D6111yescharacteristic
1411C22×C4C23×D6111yescharacteristic
1412C22×C4C23×D6111yescharacteristic
1413C22×C4C23×D6111yescharacteristic
1414C22×C4C23×D6111yescharacteristic
1415C22×C4C23×D6111yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—41no—
1418C4⋊C4—614no—
1419C4⋊C4—1222no—
1420C4⋊C4—2441no—
1421C4⋊C4—2441no—
1422C4⋊C4—2441no—
1423C4⋊C4—2441no—
1424C4⋊C4—2441no—
1425C4⋊C4—2441no—
1426C4⋊C4—2441no—
1427C4⋊C4—2441no—
1428C4⋊C4—2441no—
1429C4⋊C4C2×C4×D6114yescomplemented
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—614no—
1439C22⋊C4—614no—
1440C22⋊C4—614no—
1441C22⋊C4—614no—
1442C22⋊C4—614no—
1443C22⋊C4—614no—
1444C22⋊C4—614no—
1445C22⋊C4—614no—
1446C22⋊C4—1222no—
1447C22⋊C4—1222no—
1448C22⋊C4—1222no—
1449C22⋊C4—1222no—
1450C22⋊C4—1222no—
1451C22⋊C4—1222no—
1452C22⋊C4—1222no—
1453C22⋊C4—2441no—
1454C22⋊C4—2441no—
1455C22⋊C4—2441no—
1456C22⋊C4—2441no—
1457C22⋊C4—2441no—
1458C22⋊C4—2441no—
1459C22⋊C4—2441no—
1460C22⋊C4—2441no—
1461C22⋊C4—2441no—
1462C22⋊C4—2441no—
1463C22⋊C4—2441no—
1464C22⋊C4—2441no—
1465C22⋊C4—2441no—
1466C22⋊C4—2441no—
1467C22⋊C4—2441no—
1468C22⋊C4—2441no—
1469C22⋊C4—2441no—
1470C22⋊C4—2441no—
1471C22⋊C4—2441no—
1472C22⋊C4—2441no—
1473C22⋊C4—2441no—
1474C22⋊C4—2441no—
1475C22⋊C4—2441no—
1476C22⋊C4—2441no—
1477C22⋊C4—2441no—
1478C22⋊C4C2×C4×D6114yes—
1479C22⋊C4C2×C4×D6114yescomplemented
1480C42—22no—
1481C42—41no—
1482C42—41no—
1483C42—41no—
1484C42—614no—
1485C42—614no—
1486C42—1222no—
1487C42—2441no—
1488C42—2441no—
1489C42—2441no—
1490C42—2441no—
1491C42—2441no—
1492C42—2441no—
1493C42—2441no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—612no—
1513C23—612no—
1514C23—612no—
1515C23—612no—
1516C23—612no—
1517C23—612no—
1518C23—1228no—
1519C23—1228no—
1520C23—1221no—
1521C23—1221no—
1522C23—1221no—
1523C23—1221no—
1524C23—1221no—
1525C23—1221no—
1526C23—1221no—
1527C23—1221no—
1528C23—1221no—
1529C23—1221no—
1530C23—1221no—
1531C23—1221no—
1532C23—1221no—
1533C23—1221no—
1534C23—1221no—
1535C23—1221no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—4882no—
1543C23—4882no—
1544C23—4882no—
1545C23—4882no—
1546C23—2444no—
1547C23—2444no—
1548C23—2444no—
1549C23—2444no—
1550C23—2444no—
1551C23—2444no—
1552C23—2444no—
1553C23—2444no—
1554C23C22×C4×D6112yes—
1555C23C22×C4×D6112yes—
1556C23C22×C4×D6112yes—
1557C23C24×D6111yescharacteristic
1558Q8—2444no—
1559D4—44no—
1560D4—44no—
1561D4—44no—
1562D4—1228no—
1563D4—1228no—
1564D4—2444no—
1565D4—2444no—
1566D4—2444no—
1567D4—2444no—
1568D4—2444no—
1569D4—2444no—
1570D4—2444no—
1571D4—2444no—
1572D4—2444no—
1573D4—2444no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—82no—
1607C2×C4—82no—
1608C2×C4—82no—
1609C2×C4—612no—
1610C2×C4—612no—
1611C2×C4—612no—
1612C2×C4—612no—
1613C2×C4—1228no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—1221no—
1619C2×C4—1221no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—1221no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—4882no—
1647C2×C4—4882no—
1648C2×C4—4882no—
1649C2×C4—4882no—
1650C2×C4—4882no—
1651C2×C4—4882no—
1652C2×C4—4882no—
1653C2×C4—2444no—
1654C2×C4—2444no—
1655C2×C4—2444no—
1656C2×C4—2444no—
1657C2×C4—2444no—
1658C2×C4—2444no—
1659C2×C4C22×C4×D6112yes—
1660C2×C4C22×C4×D6112yes—
1661C2×C4C22×C4×D6112yes—
1662C2×C4C22×C4×D6112yes—
1663C2×C4#1451982212yes—
1664C2×C4#1451982312yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—614no—
1687C22—1222no—
1688C22—1222no—
1689C22—1222no—
1690C22—1222no—
1691C22—1222no—
1692C22—1222no—
1693C22—1222no—
1694C22—1222no—
1695C22—1222no—
1696C22—1222no—
1697C22—1222no—
1698C22—1222no—
1699C22—1222no—
1700C22—1222no—
1701C22—1222no—
1702C22—4888no—
1703C22—24416no—
1704C22—2441no—
1705C22—2441no—
1706C22—2441no—
1707C22—2441no—
1708C22—2441no—
1709C22—2441no—
1710C22—2441no—
1711C22—2441no—
1712C22—2441no—
1713C22—2441no—
1714C22—2441no—
1715C22—2441no—
1716C22C23×C4×D6111yescharacteristic
1717C22H(5,𝔽2)×D6111yescharacteristic
1718C22H(5,𝔽2)×D6111yescharacteristic
1719C22C2×#1451982211yescharacteristic
1720C22C2×#1451982311yescharacteristic
1721C22#1684059811yescharacteristic
1722C22#1684059811yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—1222no—
1736C4—1222no—
1737C4—1222no—
1738C4—1222no—
1739C4—2441no—
1740C4—2441no—
1741C4—2441no—
1742C4—2441no—
1743C4—2441no—
1744C4—2441no—
1745C4—2441no—
1746C4—2441no—
1747C2—42no—
1748C2—42no—
1749C2—42no—
1750C2—1224no—
1751C2—2442no—
1752C2—2442no—
1753C2—2442no—
1754C2#518×D6111yescharacteristic
1755C2C4×#1451982211yescharacteristic
1756C2C4×#1451982311yescharacteristic
1757C2#2145996811yescharacteristic
1758C2#2145997711yescharacteristic
1759C2#2146013311yescharacteristic
1760C2#2146013811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2364C2
socle, cosocleC23×C61C25
prime radicalC2×#16840328C2
hypercenter#2364D61
hypocenterC61#34406
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2364

Complements

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

NH ≅ G/Ntype
2. #21448994C2semidirect
3. #21448988C2semidirect
4. #21448976C2semidirect
5. #21448971C2semidirect
6. #21448927C2semidirect
7. #21448881C2semidirect
8. #21448868C2semidirect
9. #21448802C2semidirect
10. #21448801C2semidirect
11. #21448797C2semidirect
12. #21448796C2semidirect
13. #21448678C2semidirect
14. #21448674C2semidirect
15. #21448650C2semidirect
16. #21448646C2semidirect
17. #21448627C2semidirect
18. #21448626C2semidirect
19. #21448584C2semidirect
20. #21448583C2semidirect
21. #21448541C2semidirect
22. #21448540C2semidirect
23. #21448522C2semidirect
24. #21448518C2semidirect
25. #21448481C2semidirect
26. #21448475C2semidirect
27. #21448393C2semidirect
28. C4×#14519747C2semidirect
29. C4×#14519745C2semidirect
30. #386×D61C2semidirect
31. C61×#2364C2semidirect
35. #16840328C4semidirect
49. C2×C4×D244C22semidirect
50. C2×#14519739C22semidirect
53. C2×C4×C22⋊D61C22semidirect
54. C2×C4×C22⋊D61C22semidirect
55. C2×C4×C22⋊D61C22semidirect
56. C2×#14519737C22semidirect
63. #16839668C22semidirect
64. #16839668C22semidirect
65. #16839666C22semidirect
66. #16839666C22semidirect
67. #16839665C22semidirect
68. #16839665C22semidirect
69. #16839664C22semidirect
70. #16839663C22semidirect
71. #16839662C22semidirect
72. #16839662C22semidirect
73. #16839662C22semidirect
74. #16839662C22semidirect
75. #16839656C22semidirect
76. #16839656C22semidirect
77. #16839655C22semidirect
78. #16839655C22semidirect
79. #16839654C22semidirect
80. #16839654C22semidirect
81. #16839654C22semidirect
82. #16839653C22semidirect
83. #16839653C22semidirect
84. #16839653C22semidirect
85. #16839652C22semidirect
86. #16839651C22semidirect
87. #16839650C22semidirect
88. #16839650C22semidirect
89. #16839648C22semidirect
90. #16839648C22semidirect
91. #16839647C22semidirect
92. #16839647C22semidirect
93. #16839645C22semidirect
94. #16839645C22semidirect
97. #16839642C22semidirect
98. #16839642C22semidirect
101. #16839641C22semidirect
102. #16839641C22semidirect
103. #16839641C22semidirect
104. #16839641C22semidirect
105. #16839641C22semidirect
112. #16839640C22semidirect
113. #16839640C22semidirect
114. #16839640C22semidirect
115. #16839640C22semidirect
118. #16839639C22semidirect
125. #16839638C22semidirect
126. #16839638C22semidirect
127. #16839638C22semidirect
128. #16839638C22semidirect
129. #16839638C22semidirect
130. #16839638C22semidirect
131. #16839637C22semidirect
132. #16839637C22semidirect
135. #16839636C22semidirect
136. #16839636C22semidirect
137. #16839636C22semidirect
138. #16839635C22semidirect
139. #16839634C22semidirect
142. #16839633C22semidirect
143. #16839629C22semidirect
144. #16839629C22semidirect
145. #16839627C22semidirect
146. #16839626C22semidirect
147. #16839625C22semidirect
150. #16839624C22semidirect
151. #16839622C22semidirect
152. #16839621C22semidirect
155. C4⋊C4×Dic61C22semidirect
156. C4×#11758196C22semidirect
157. C22⋊C4×Dic61C22semidirect
160. C4×#11758198C22semidirect
161. C4×#11758198C22semidirect
162. C4×#11758198C22semidirect
163. C4×C22⋊Dic61C22semidirect
166. #16839609C22semidirect
167. #16839609C22semidirect
168. #16839608C22semidirect
169. #16839607C22semidirect
172. #95×D61C22semidirect
174. C2×C4×D4×C61C22semidirect
175. C2×C4×D4×C61C22semidirect
176. C61×#388C22semidirect
177. C61×#388C22semidirect
178. C61×#387C22semidirect
179. C61×#387C22semidirect
182. C61×#386C22semidirect
183. C61×#386C22semidirect
184. C4×C22⋊C4×C61C22semidirect
185. C4×C22⋊C4×C61C22semidirect
186. C4×C22⋊C4×C61C22semidirect
187. C2×#95×C61C22semidirect
192. C2×#11758222C2×C4semidirect
208. C2×D4×D61C2×C4semidirect
226. #14519773C2×C4semidirect
227. #14519773C2×C4semidirect
228. #14519763C2×C4semidirect
229. #14519763C2×C4semidirect
230. #14519752C2×C4semidirect
231. #14519751C2×C4semidirect
232. #14519748C2×C4semidirect
233. #14519747C2×C4semidirect
234. #14519747C2×C4semidirect
235. #14519745C2×C4semidirect
236. #14519745C2×C4semidirect
247. #14519735C2×C4semidirect
352. #121×C61C2×C4semidirect
411. C2×D4×C61C22×C4semidirect
426. C22×C4×C61C22×C4semidirect
460. C2×C22⋊D61C22×C4semidirect
461. C2×C22⋊D61C22×C4semidirect
462. C2×C22⋊D61C22×C4semidirect
494. C2×D244C22×C4semidirect
531. C2×C4×D61C22×C4semidirect
534. C2×Dic122C22×C4semidirect
537. C4⋊C4×C61C22×C4semidirect
547. C22⋊C4×C61C22×C4semidirect
563. C22⋊Dic61C22×C4semidirect
590. #11758198C22×C4semidirect
591. #11758198C22×C4semidirect
596. C4⋊Dic61C22×C4semidirect
611. C4×Dic61C22×C4semidirect
612. C4×Dic61C22×C4semidirect
875. #2364D61semidirect
938. C2×C4×D4C2×D61semidirect
939. C2×C4×D4C2×D61semidirect
972. #388C2×D61semidirect
973. #388C2×D61semidirect
980. #387C2×D61semidirect
981. #387C2×D61semidirect
1020. #386C2×D61semidirect
1021. #386C2×D61semidirect
1059. C4×C22⋊C4C2×D61semidirect
1060. C4×C22⋊C4C2×D61semidirect
1061. C4×C22⋊C4C2×D61semidirect
1067. C2×#95C2×D61semidirect
1068. C61#34406semidirect
1122. #121C4×D61semidirect
1333. C2×D4C2×C4×D61semidirect
1403. C22×C4C2×C4×D61semidirect
1429. C4⋊C4C2×C4×D61semidirect
1479. C22⋊C4C2×C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403282
#214489942
#214489882
#214489762
#214489712
#214489272
#214488812
#214488682
#214488022
#214488012
#214487972
#214487962
#214486782
#214486742
#214486502
#214486462
#214486272
#214486262
#214485842
#214485832
#214485412
#214485402
#214485222
#214485182
#214484812
#214484752
#214483932
C4×#145197472
C4×#145197452
#386×D612
C61×#23642
#3440661