Finite Group Databasebeta

← #29845365

Subgroups — #29845365

Order 15616.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840404C211yesmaximal, characteristic
2#21448981C211yesmaximal, characteristic, complemented
3#21448975C211yesmaximal, characteristic, complemented
4#21448966C211yesmaximal, characteristic, complemented
5#21448959C211yesmaximal, characteristic, complemented
6#21448926C211yesmaximal, characteristic, complemented
7#21448864C211yesmaximal, characteristic, complemented
8#21448856C211yesmaximal, characteristic, complemented
9#21448815C211yesmaximal, characteristic, complemented
10#21448801C211yesmaximal, characteristic, complemented
11#21448758C211yesmaximal, characteristic, complemented
12#21448753C211yesmaximal, characteristic, complemented
13#21448666C211yesmaximal, characteristic, complemented
14#21448661C211yesmaximal, characteristic, complemented
15#21448643C211yesmaximal, characteristic, complemented
16D4×#11758198C211yesmaximal, characteristic, complemented
17#21448633C211yesmaximal, characteristic, complemented
18#21448612C211yesmaximal, characteristic, complemented
19#21448583C211yesmaximal, characteristic, complemented
20#21448573C211yesmaximal, characteristic, complemented
21#21448523C211yesmaximal, characteristic, complemented
22#21448476C211yesmaximal, characteristic, complemented
23#21448476C211yesmaximal, characteristic, complemented
24#21448458C211yesmaximal, characteristic, complemented
25#21448413C211yesmaximal, characteristic, complemented
26#21448412C211yesmaximal, characteristic, complemented
27#21448393C211yesmaximal, characteristic, complemented
28#21448329C211yesmaximal, characteristic, complemented
29#21448255C211yesmaximal, characteristic, complemented
30C2×#16839652C211yesmaximal, characteristic, complemented
31C61×#2322C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34#16840404C4116yescomplemented
35C2×#14519763C2211yescharacteristic
36C2×#14519762C2211yescharacteristic
37C2×#14519755C2211yescharacteristic
38C2×#14519752C2211yescharacteristic
39C2×#14519750C2211yescharacteristic
40C2×#14519749C2211yescharacteristic
41C2×#14519747C2211yescharacteristic
42C2×#14519747C2211yescharacteristic
43C2×C4×D244C2211yescharacteristic, complemented
44C2×D4×Dic61C2211yescharacteristic
45C2×#14519739C2211yescharacteristic
46C2×#14519737C2211yescharacteristic
47C2×#14519737C2211yescharacteristic, complemented
48C2×#14519737C2211yescharacteristic, complemented
49C2×#14519737C2211yescharacteristic, complemented
50C2×#14519736C2211yescharacteristic, complemented
51C2×#14519735C2211yescharacteristic, complemented
52C22×#11758198C2211yescharacteristic
53C22×#11758198C2211yescharacteristic
54C22×#11758198C2211yescharacteristic
55C22×#11758198C2211yescharacteristic
56C2×C22⋊C4×D61C2211yescharacteristic
57C2×C22⋊C4×D61C2211yescharacteristic
58C22×C4×Dic61C2211yescharacteristic, complemented
59#16839667C2211yescharacteristic, complemented
60#16839667C2211yescharacteristic, complemented
61#16839666C2211yescharacteristic, complemented
62#16839666C2211yescharacteristic, complemented
63#16839664C2211yescharacteristic
64#16839664C2211yescharacteristic
65#16839663C2211yescharacteristic
66#16839663C2211yescharacteristic
67#16839663C2211yescharacteristic, complemented
68#16839663C2211yescharacteristic, complemented
69#16839663C2211yescharacteristic, complemented
70#16839662C2211yescharacteristic, complemented
71#16839661C2211yescharacteristic, complemented
72#16839659C2211yescharacteristic, complemented
73#16839656C2211yescharacteristic, complemented
74#16839655C2211yescharacteristic, complemented
75#16839655C2211yescharacteristic, complemented
76#16839654C2211yescharacteristic
77#16839654C2211yescharacteristic
78#16839654C2211yescharacteristic
79#16839654C2211yescharacteristic, complemented
80#16839654C2211yescharacteristic, complemented
81#16839653C2211yescharacteristic
82#16839653C2211yescharacteristic, complemented
83#16839652C2211yescharacteristic
84#16839652C2211yescharacteristic
85#16839652C2211yescharacteristic
86#16839652C2211yescharacteristic
87#16839652C2211yescharacteristic
88#16839652C2211yescharacteristic, complemented
89#16839652C2211yescharacteristic, complemented
90#16839652C2211yescharacteristic, complemented
91#16839652C2211yescharacteristic, complemented
92#16839652C2211yescharacteristic, complemented
93#16839652C2211yescharacteristic, complemented
94#16839652C2211yescharacteristic, complemented
95#16839651C2211yescharacteristic
96#16839651C2211yescharacteristic
97#16839651C2211yescharacteristic
98#16839651C2211yescharacteristic, complemented
99#16839651C2211yescharacteristic, complemented
100#16839650C2211yescharacteristic, complemented
101#16839649C2211yescharacteristic, complemented
102#16839648C2211yescharacteristic, complemented
103#16839648C2211yescharacteristic, complemented
104#16839646C2211yescharacteristic, complemented
105#16839646C2211yescharacteristic, complemented
106#16839644C2211yescharacteristic, complemented
107#16839643C2211yescharacteristic, complemented
108#16839643C2211yescharacteristic, complemented
109#16839642C2211yescharacteristic
110#16839641C2211yescharacteristic
111#16839641C2211yescharacteristic
112#16839641C2211yescharacteristic
113#16839641C2211yescharacteristic, complemented
114#16839641C2211yescharacteristic, complemented
115#16839641C2211yescharacteristic, complemented
116#16839640C2211yescharacteristic
117#16839640C2211yescharacteristic
118#16839640C2211yescharacteristic
119#16839640C2211yescharacteristic
120#16839640C2211yescharacteristic, complemented
121#16839640C2211yescharacteristic, complemented
122#16839640C2211yescharacteristic, complemented
123#16839640C2211yescharacteristic, complemented
124#16839639C2211yescharacteristic
125#16839639C2211yescharacteristic
126#16839639C2211yescharacteristic
127#16839638C2211yescharacteristic
128#16839638C2211yescharacteristic
129#16839638C2211yescharacteristic, complemented
130#16839637C2211yescharacteristic, complemented
131#16839637C2211yescharacteristic, complemented
132#16839636C2211yescharacteristic, complemented
133#16839636C2211yescharacteristic, complemented
134#16839636C2211yescharacteristic, complemented
135#16839629C2211yescharacteristic, complemented
136#16839624C2211yescharacteristic
137#16839624C2211yescharacteristic
138#16839624C2211yescharacteristic, complemented
139#16839624C2211yescharacteristic, complemented
140#16839621C2211yescharacteristic, complemented
141#16839620C2211yescharacteristic, complemented
142#16839619C2211yescharacteristic
143#16839619C2211yescharacteristic, complemented
144#16839619C2211yescharacteristic, complemented
145#16839619C2211yescharacteristic, complemented
146#16839619C2211yescharacteristic, complemented
147#16839617C2211yescharacteristic
148#16839617C2211yescharacteristic
149#16839617C2211yescharacteristic
150#16839617C2211yescharacteristic
151C4⋊C4×Dic61C2211yescharacteristic, complemented
152C4⋊C4×Dic61C2211yescharacteristic, complemented
153#16839613C2211yescharacteristic, complemented
154C22⋊C4×Dic61C2211yescharacteristic, complemented
155C22⋊C4×Dic61C2211yescharacteristic, complemented
156C22⋊C4×Dic61C2211yescharacteristic, complemented
157C22⋊C4×Dic61C2211yescharacteristic, complemented
158C4×#11758198C2211yescharacteristic
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#16839608C2211yescharacteristic, complemented
169#16839607C2211yescharacteristic, complemented
170C2×#14519684C2211yescharacteristic, complemented
171C2×#14519684C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173C2×#123×C61C2211yescharacteristic
174C2×C4×D4×C61C2211yescharacteristic
175C22×C4⋊C4×C61C2211yescharacteristic, complemented
176C61×#389C2211yescharacteristic, complemented
177C61×#389C2211yescharacteristic, complemented
178C61×#388C2211yescharacteristic, complemented
179C61×#388C2211yescharacteristic, complemented
180C61×#387C2211yescharacteristic, complemented
181C61×#387C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic
183C61×#385C2211yescharacteristic, complemented
184C61×#385C2211yescharacteristic, complemented
185C61×#385C2211yescharacteristic, complemented
186C61×#381C2211yescharacteristic, complemented
187C4×C22⋊C4×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
202C2×D4×D61—42no—
203C2×D4×D61—42no—
204C2×D4×D61C2×C418yescomplemented
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217#14519763C2×C418yescomplemented
218#14519762C2×C418yescomplemented
219#14519755C2×C418yescomplemented
220#14519752C2×C418yescomplemented
221#14519750C2×C418yescomplemented
222#14519749C2×C418yescomplemented
223#14519747C2×C418yescomplemented
224#14519747C2×C418yescomplemented
225C4×D244—42no—
226D4×Dic61—42no—
227#14519739C2×C418yescomplemented
228#14519737—42no—
229#14519737—42no—
230#14519737—42no—
231#14519737C2×C418yescomplemented
232#14519736—42no—
233#14519735—42no—
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×C4⋊Dic61C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×C22⋊Dic61C2311yescharacteristic
246C2×C22⋊Dic61C2311yescharacteristic
247C2×C22⋊Dic61C2311yescharacteristic
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×#11758198—42no—
252C2×#11758198—42no—
253C2×#11758198—42no—
254C2×#11758198C2×C418yescomplemented
255C2×#11758198C2311yescharacteristic
256C2×#11758198C2311yescharacteristic
257C2×#11758198C2311yescharacteristic
258C2×#11758198C2311yescharacteristic
259C2×#11758198C2311yescharacteristic
260C2×#11758198C2311yescharacteristic
261C2×#11758198C2311yescharacteristic
262C2×#11758198C2311yescharacteristic
263C2×#11758198C2311yescharacteristic
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C22⋊C4×D61—42no—
292C22⋊C4×D61C2×C418yescomplemented
293C2×C4×Dic61—42no—
294C2×C4×Dic61C2311yescharacteristic
295C2×C4×Dic61C2311yescharacteristic
296C2×C4×Dic61C2311yescharacteristic
297C2×C4×Dic61C2311yescharacteristic
298C2×C4×Dic61C2311yescharacteristic
299C2×C4×Dic61C2311yescharacteristic
300C2×C4×Dic61C2311yescharacteristic
301C2×C4×Dic61C2311yescharacteristic
302C2×C4×Dic61C2311yescharacteristic
303C2×C4×Dic61C2311yescharacteristic
304C2×C4×Dic61C2311yescharacteristic
305C2×C4×Dic61C2311yescharacteristic
306C2×C4×Dic61C2311yescharacteristic
307C2×C4×Dic61C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338C22×D4×C61C2311yescharacteristic
339C23×C4×C61C2311yescharacteristic
340C23×C4×C61C2311yescharacteristic
341C23×C4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343#123×C61C2×C418yescomplemented
344C4×D4×C61—42no—
345C2×C4⋊C4×C61—42no—
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C4⋊C4×C61C2311yescharacteristic
352C2×C4⋊C4×C61C2311yescharacteristic
353C2×C4⋊C4×C61C2311yescharacteristic
354C2×C4⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C42×C61C2311yescharacteristic
364C2×C42×C61C2311yescharacteristic
365C2×C42×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C23×D61—22no—
379C23×D61—22no—
380C23×D61—41no—
381C23×D61—41no—
382C23×D61—41no—
383C23×D61—41no—
384C23×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×D4×C61—22no—
397C2×D4×C61—22no—
398C2×D4×C61C22×C414yes—
399C22×C4×C61—22no—
400C22×C4×C61—22no—
401C22×C4×C61—22no—
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×C61—41no—
409C22×C4×C61—41no—
410C22×C4×C61C22×C414yes—
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
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C2×C22⋊D61—22no—
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—41no—
429C2×C22⋊D61—41no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61—41no—
432C2×C22⋊D61C22×C414yes—
433C2×C22⋊D61C22×C414yes—
434C2×C22⋊D61C22×C414yes—
435C2×C22⋊D61C22×C414yes—
436C22×Dic61—22no—
437C22×Dic61—22no—
438C22×Dic61—22no—
439C22×Dic61—22no—
440C22×Dic61—41no—
441C22×Dic61—41no—
442C22×Dic61—41no—
443C22×Dic61—41no—
444C22×Dic61—41no—
445C22×Dic61—41no—
446C22×Dic61—41no—
447C22×Dic61C22×C414yes—
448C22×Dic61C2411yescharacteristic
449C22×Dic61C2411yescharacteristic
450C22×Dic61C2411yescharacteristic
451C22×Dic61C2411yescharacteristic
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460D4×D61—416no—
461#11758222—416no—
462C2×D244—41no—
463C2×D244—41no—
464C2×D244—41no—
465C2×D244—41no—
466C2×D244—41no—
467C2×D244—41no—
468C2×D244—41no—
469C2×D244—41no—
470C2×D244C22×C414yes—
471C2×D244C22×C414yes—
472C2×D244C22×C414yes—
473C2×D244C22×C414yes—
474C2×C4×D61—22no—
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×C4×D61—41no—
488C2×C4×D61—41no—
489C2×C4×D61—41no—
490C2×C4×D61—41no—
491C2×C4×D61—41no—
492C2×C4×D61—41no—
493C2×C4×D61—41no—
494C2×C4×D61C22×C414yes—
495C2×C4×D61C22×C414yes—
496C2×C4×D61C22×C414yes—
497C2×C4×D61C22×C414yes—
498C2×Dic122—41no—
499C2×Dic122—41no—
500C2×Dic122C22×C414yes—
501C4⋊C4×C61—41no—
502C4⋊C4×C61—41no—
503C4⋊C4×C61—41no—
504C4⋊C4×C61—41no—
505C4⋊C4×C61—41no—
506C4⋊C4×C61—41no—
507C4⋊C4×C61—41no—
508C4⋊C4×C61C22×C414yes—
509C4⋊C4×C61C22×C414yes—
510C22⋊C4×C61—22no—
511C22⋊C4×C61—22no—
512C22⋊C4×C61—41no—
513C22⋊C4×C61—41no—
514C22⋊C4×C61—41no—
515C22⋊C4×C61C22×C414yes—
516C22⋊C4×C61C22×C414yes—
517C22⋊C4×C61C22×C414yes—
518C42×C61—41no—
519C42×C61—41no—
520C42×C61—41no—
521C22⋊Dic61—22no—
522C22⋊Dic61—22no—
523C22⋊Dic61—41no—
524C22⋊Dic61—41no—
525C22⋊Dic61—41no—
526C22⋊Dic61C22×C414yes—
527#11758198—22no—
528#11758198—22no—
529#11758198—22no—
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#11758198—41no—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548#11758198—41no—
549#11758198—41no—
550#11758198—41no—
551#11758198—41no—
552#11758198—41no—
553#11758198—41no—
554#11758198—41no—
555#11758198C22×C414yes—
556#11758198C22×C414yes—
557#11758198C22×C414yes—
558#11758198C22×C414yes—
559#11758198C22×C414yes—
560#11758198C22×C414yes—
561#11758198C22×C414yes—
562#11758198C22×C414yes—
563C4⋊Dic61—22no—
564C4⋊Dic61—41no—
565C4⋊Dic61—41no—
566C4⋊Dic61—41no—
567C4⋊Dic61—41no—
568#11758196—41no—
569#11758196—41no—
570#11758196—41no—
571#11758196—41no—
572#11758196C22×C414yes—
573#11758196C22×C414yes—
574C4×Dic61—22no—
575C4×Dic61—22no—
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×Dic61—41no—
585C4×Dic61—41no—
586C4×Dic61—41no—
587C4×Dic61C22×C414yes—
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×C61H(5,𝔽2)12yes—
601C23×C61H(5,𝔽2)12yes—
602C23×C61C2511yescharacteristic
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—21no—
626C22×D61—21no—
627C22×D61—28no—
628C22×D61—44no—
629C22×D61—44no—
630C22×D61—44no—
631C22×D61—44no—
632C22×D61—44no—
633C22×D61—82no—
634C22×D61—82no—
635C22×D61—82no—
636C22×D61—82no—
637C22×D61—82no—
638C22×D61—82no—
639C22×D61—82no—
640C22×D61—82no—
641C22×D61C23×C412yes—
642C22×D61C23×C412yes—
643C22×D61C23×C412yes—
644C22×D61C23×C412yes—
645D4×C61—28no—
646C2×C4×C61—28no—
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—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—44no—
682C2×C4×C61—82no—
683C2×C4×C61—82no—
684C2×C4×C61C23×C412yes—
685C2×C4×C61C23×C412yes—
686C2×C4×C61C23×C412yes—
687C2×C4×C61C23×C412yes—
688C2×C4×C61C23×C412yes—
689C22⋊D61—28no—
690C22⋊D61—28no—
691C22⋊D61—44no—
692C22⋊D61—44no—
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—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—44no—
725C2×Dic61—44no—
726C2×Dic61—82no—
727C2×Dic61—82no—
728C2×Dic61C23×C412yes—
729C2×Dic61C23×C412yes—
730C2×Dic61C23×C412yes—
731C2×Dic61C23×C412yes—
732C2×Dic61H(5,𝔽2)12yes—
733D244—44no—
734D244—44no—
735D244—44no—
736D244—44no—
737C4×D61—44no—
738C4×D61—44no—
739C4×D61—44no—
740C4×D61—44no—
741C4×D61—82no—
742C4×D61—82no—
743C4×D61—82no—
744C4×D61—82no—
745Dic122—44no—
746#34492—611nomaximal, Sylow
747C22×C61—22no—
748C22×C61—22no—
749C22×C61—22no—
750C22×C61—22no—
751C22×C61—22no—
752C22×C61—22no—
753C22×C61—22no—
754C22×C61—22no—
755C22×C61—22no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61—41no—
759C22×C61—41no—
760C22×C61#51814yes—
761C22×C61C24×C411yescharacteristic
762C22×C61C2×H(5,𝔽2)11yescharacteristic
763C22×C61C2×H(5,𝔽2)11yescharacteristic
764C22×C61C2×H(5,𝔽2)11yescharacteristic
765C22×C61#58511yescharacteristic
766C22×C61#58511yescharacteristic
767C22×C61#58511yescharacteristic
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—22no—
777C2×D61—22no—
778C2×D61—22no—
779C2×D61—22no—
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—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—88no—
797C2×D61—88no—
798C4×C61—22no—
799C4×C61—22no—
800C4×C61—22no—
801C4×C61—22no—
802C4×C61—22no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61—41no—
811Dic61—22no—
812Dic61—22no—
813Dic61—22no—
814Dic61—22no—
815Dic61—22no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823C2×#546—611no—
824#2378—611no—
825#2377—611no—
826#2376—611no—
827#2375—611no—
828#2372—611no—
829#2364—611no—
830#2363—611no—
831#2359—611no—
832#2358—611no—
833#2353—611no—
834#2353—611no—
835#2342—611no—
836#2342—611no—
837#2339—611no—
838D4×C22⋊C4—611no—
839#2337—611no—
840#2335—611no—
841#2333—611no—
842#2332—611no—
843#2325—611no—
844#2322D6111yescharacteristic, complemented
845#2321—611no—
846#2321—611no—
847#2319—611no—
848#2312—611no—
849#2311—611no—
850#2308—611no—
851C4×#121—611no—
852#2290—611no—
853C2×#388—611no—
854C2×C61—24no—
855C2×C61—42no—
856C2×C61C2×#51811yescharacteristic
857C2×C61#342811yescharacteristic
858C2×C61C4×H(5,𝔽2)11yescharacteristic
859C2×C61#353411yescharacteristic
860C2×C61#354211yescharacteristic
861C2×C61#354511yescharacteristic
862C2×C61#356011yescharacteristic
863D61—42no—
864D61—42no—
865D61—42no—
866D61—42no—
867C22×#41—611no—
868C23×D4—611no—
869#546—6116no—
870C2×#124—611no—
871C2×#123—611no—
872C2×#123C2×D6111yescharacteristic
873C2×C22⋊Q8—611no—
874C2×#121—611no—
875C2×#121—611no—
876C2×#121—611no—
877C2×#120—611no—
878C2×#120—611no—
879C2×C4×D4—611no—
880C2×C4×D4—611no—
881C2×C4×D4—611no—
882C2×C4×D4—611no—
883C2×C4×D4—611no—
884C2×C4×D4—611no—
885C2×C4×D4—611no—
886C2×C4×D4C2×D6111yescharacteristic
887C2×#117—611no—
888C2×#117—611no—
889C22×C4⋊C4C2×D6111yescharacteristic, complemented
890C22×C22⋊C4—611no—
891C22×C22⋊C4—611no—
892C22×C22⋊C4—611no—
893C22×C22⋊C4—611no—
894C22×C22⋊C4—611no—
895C22×C22⋊C4—611no—
896C22×C42—611no—
897#391—611no—
898#391—611no—
899#391—611no—
900#391—611no—
901#390—611no—
902#390—611no—
903#390—611no—
904#390—611no—
905#390—611no—
906#390—611no—
907#390—611no—
908#390—611no—
909#389—611no—
910#389—611no—
911#389C2×D6111yescharacteristic, complemented
912#389C2×D6111yescharacteristic, complemented
913#388—611no—
914#388—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#388C2×D6111yescharacteristic, complemented
942#388C2×D6111yescharacteristic, complemented
943#387—611no—
944#387—611no—
945#387—611no—
946#387—611no—
947#387—611no—
948#387—611no—
949#387—611no—
950#387—611no—
951#387C2×D6111yescharacteristic, complemented
952#387C2×D6111yescharacteristic, complemented
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#386—611no—
968#386—611no—
969#386—611no—
970#386—611no—
971#386—611no—
972#386—611no—
973#386—611no—
974#386C2×D6111yescharacteristic
975#385—611no—
976#385—611no—
977#385—611no—
978#385—611no—
979#385—611no—
980#385C2×D6111yescharacteristic, complemented
981#385C2×D6111yescharacteristic, complemented
982#385C2×D6111yescharacteristic, complemented
983#383—611no—
984#381—611no—
985#381—611no—
986#381—611no—
987#381—611no—
988#381C2×D6111yescharacteristic, complemented
989#380—611no—
990#380—611no—
991#380—611no—
992#380—611no—
993#380—611no—
994#380—611no—
995#380—611no—
996#379—611no—
997#379—611no—
998#379—611no—
999#379—611no—
1000C4×C4⋊C4—611no—
1001C4×C4⋊C4—611no—
1002C4×C4⋊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⋊C4—611no—
1017C4×C22⋊C4C2×D6111yescharacteristic, complemented
1018#376—611no—
1019#376—611no—
1020C2×#95—611no—
1021C2×#95—611no—
1022C2×#95—611no—
1023C61#3449211yescharacteristic, complemented, Sylow
1024C25—611no—
1025C25—611no—
1026C2×#41—618no—
1027C2×#41—2442no—
1028C2×#41—2442no—
1029C22×Q8—611no—
1030C22×D4—611no—
1031C22×D4—611no—
1032C22×D4—611no—
1033C22×D4—611no—
1034C22×D4—618no—
1035C22×D4—611no—
1036C22×D4—611no—
1037C22×D4—611no—
1038C22×D4—611no—
1039C22×D4—2442no—
1040C22×D4—2442no—
1041C22×D4C22×D6111yescharacteristic
1042C23×C4—611no—
1043C23×C4—611no—
1044C23×C4—611no—
1045C23×C4—611no—
1046C23×C4—611no—
1047C23×C4—611no—
1048C23×C4—611no—
1049C23×C4—611no—
1050C23×C4—611no—
1051C23×C4—611no—
1052C23×C4—611no—
1053C23×C4—611no—
1054C23×C4C22×D6111yescharacteristic
1055C23×C4C22×D6111yescharacteristic
1056C23×C4C22×D6111yescharacteristic
1057C23×C4C22×D6111yescharacteristic
1058#124—618no—
1059#123—618no—
1060#123C4×D6118yescomplemented
1061C22⋊Q8—618no—
1062#121—618no—
1063#121—618no—
1064#121—618no—
1065#120—618no—
1066#120—618no—
1067C4×D4—42no—
1068C4×D4—618no—
1069C4×D4—618no—
1070C4×D4—2442no—
1071C4×D4—2442no—
1072C4×D4—2442no—
1073C4×D4—2442no—
1074C4×D4—2442no—
1075#117—2442no—
1076#117—2442no—
1077C2×C4⋊C4—42no—
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⋊C4—611no—
1088C2×C4⋊C4—611no—
1089C2×C4⋊C4C22×D6111yescharacteristic
1090C2×C4⋊C4C22×D6111yescharacteristic
1091C2×C4⋊C4C22×D6111yescharacteristic
1092C2×C4⋊C4C22×D6111yescharacteristic
1093C2×C4⋊C4C22×D6111yescharacteristic
1094C2×C4⋊C4C22×D6111yescharacteristic
1095C2×C4⋊C4C22×D6111yescharacteristic
1096C2×C4⋊C4C22×D6111yescharacteristic
1097C2×C4⋊C4C22×D6111yescharacteristic
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—618no—
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—618no—
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—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—611no—
1138C2×C22⋊C4—611no—
1139C2×C22⋊C4—611no—
1140C2×C22⋊C4—611no—
1141C2×C22⋊C4—611no—
1142C2×C22⋊C4—2442no—
1143C2×C22⋊C4—2442no—
1144C2×C22⋊C4—2442no—
1145C2×C22⋊C4—2442no—
1146C2×C22⋊C4C22×D6111yescharacteristic
1147C2×C22⋊C4C22×D6111yescharacteristic
1148C2×C22⋊C4C22×D6111yescharacteristic
1149C2×C22⋊C4C22×D6111yescharacteristic
1150C2×C22⋊C4C22×D6111yescharacteristic
1151C2×C22⋊C4C22×D6111yescharacteristic
1152C2×C22⋊C4C22×D6111yescharacteristic
1153C2×C22⋊C4C22×D6111yescharacteristic
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×C42—611no—
1168C2×C42—2442no—
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#95—611no—
1197#95—611no—
1198#95—611no—
1199#95—611no—
1200#95—611no—
1201#95—611no—
1202#95C22×D6111yescharacteristic
1203#95C22×D6111yescharacteristic
1204#95C22×D6111yescharacteristic
1205#95C22×D6111yescharacteristic
1206#95C22×D6111yescharacteristic
1207#95C22×D6111yescharacteristic
1208#95C22×D6111yescharacteristic
1209#95C22×D6111yescharacteristic
1210#95C22×D6111yescharacteristic
1211#95C22×D6111yescharacteristic
1212C24—611no—
1213C24—611no—
1214C24—611no—
1215C24—611no—
1216C24—614no—
1217C24—614no—
1218C24—1222no—
1219C24—1222no—
1220C24—2441no—
1221C24—2441no—
1222C24—2441no—
1223C24—2441no—
1224C24—2441no—
1225C24—2441no—
1226C24—2441no—
1227C24—2441no—
1228C24—2441no—
1229C24—2441no—
1230C24C23×D6111yescharacteristic
1231C24C23×D6111yescharacteristic
1232#41—24416no—
1233C2×Q8—614no—
1234C2×Q8—2441no—
1235C2×Q8—2441no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—614no—
1239C2×D4—614no—
1240C2×D4—614no—
1241C2×D4—614no—
1242C2×D4—614no—
1243C2×D4—614no—
1244C2×D4—614no—
1245C2×D4—614no—
1246C2×D4—1222no—
1247C2×D4—1222no—
1248C2×D4—1222no—
1249C2×D4—1222no—
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—24416no—
1263C2×D4C2×C4×D6114yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—611no—
1276C22×C4—611no—
1277C22×C4—611no—
1278C22×C4—611no—
1279C22×C4—611no—
1280C22×C4—614no—
1281C22×C4—614no—
1282C22×C4—614no—
1283C22×C4—614no—
1284C22×C4—614no—
1285C22×C4—611no—
1286C22×C4—611no—
1287C22×C4—611no—
1288C22×C4—611no—
1289C22×C4—611no—
1290C22×C4—611no—
1291C22×C4—611no—
1292C22×C4—1222no—
1293C22×C4—1222no—
1294C22×C4—1222no—
1295C22×C4—1222no—
1296C22×C4—1222no—
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×C4—2441no—
1313C22×C4—2441no—
1314C22×C4—2441no—
1315C22×C4—2441no—
1316C22×C4—2441no—
1317C22×C4—2441no—
1318C22×C4—2441no—
1319C22×C4—2441no—
1320C22×C4—2441no—
1321C22×C4—2441no—
1322C22×C4—2441no—
1323C22×C4C2×C4×D6114yes—
1324C22×C4C23×D6111yescharacteristic
1325C22×C4C23×D6111yescharacteristic
1326C22×C4C23×D6111yescharacteristic
1327C22×C4C23×D6111yescharacteristic
1328C22×C4C23×D6111yescharacteristic
1329C22×C4C23×D6111yescharacteristic
1330C22×C4C23×D6111yescharacteristic
1331C22×C4C23×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333C22×C4C23×D6111yescharacteristic
1334C22×C4C23×D6111yescharacteristic
1335C22×C4C23×D6111yescharacteristic
1336C22×C4C23×D6111yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—614no—
1345C4⋊C4—614no—
1346C4⋊C4—1222no—
1347C4⋊C4—2441no—
1348C4⋊C4—2441no—
1349C4⋊C4—2441no—
1350C4⋊C4—2441no—
1351C4⋊C4—2441no—
1352C4⋊C4—2441no—
1353C4⋊C4—2441no—
1354C4⋊C4—2441no—
1355C4⋊C4C2×C4×D6114yes—
1356C4⋊C4C2×C4×D6114yes—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—614no—
1363C22⋊C4—614no—
1364C22⋊C4—614no—
1365C22⋊C4—614no—
1366C22⋊C4—614no—
1367C22⋊C4—614no—
1368C22⋊C4—614no—
1369C22⋊C4—614no—
1370C22⋊C4—614no—
1371C22⋊C4—1222no—
1372C22⋊C4—1222no—
1373C22⋊C4—1222no—
1374C22⋊C4—1222no—
1375C22⋊C4—1222no—
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—2441no—
1397C22⋊C4—2441no—
1398C22⋊C4—2441no—
1399C22⋊C4—2441no—
1400C22⋊C4—2441no—
1401C22⋊C4—2441no—
1402C22⋊C4—2441no—
1403C22⋊C4—2441no—
1404C22⋊C4C2×C4×D6114yes—
1405C22⋊C4C2×C4×D6114yes—
1406C22⋊C4C2×C4×D6114yes—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—614no—
1411C42—1222no—
1412C42—1222no—
1413C42—2441no—
1414C42—2441no—
1415C42—2441no—
1416C42—2441no—
1417C42—2441no—
1418C42—2441no—
1419C42—2441no—
1420C42—2441no—
1421C42—2441no—
1422C42—2441no—
1423C42—2441no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—612no—
1435C23—612no—
1436C23—612no—
1437C23—612no—
1438C23—1228no—
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—1221no—
1459C23—1221no—
1460C23—1221no—
1461C23—1221no—
1462C23—1221no—
1463C23—4882no—
1464C23—4882no—
1465C23—4882no—
1466C23—4882no—
1467C23—4882no—
1468C23—4882no—
1469C23—4882no—
1470C23—4882no—
1471C23—2444no—
1472C23—2444no—
1473C23—2444no—
1474C23—2444no—
1475C23—2444no—
1476C23C22×C4×D6112yes—
1477C23C22×C4×D6112yes—
1478C23#1451982212yes—
1479C23#1451982312yes—
1480C23C24×D6111yescharacteristic
1481Q8—2444no—
1482D4—28no—
1483D4—1228no—
1484D4—1228no—
1485D4—2444no—
1486D4—2444no—
1487D4—2444no—
1488D4—2444no—
1489D4—2444no—
1490D4—2444no—
1491C2×C4—28no—
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—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—44no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—612no—
1530C2×C4—612no—
1531C2×C4—612no—
1532C2×C4—612no—
1533C2×C4—612no—
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—1221no—
1559C2×C4—1221no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—1221no—
1564C2×C4—1221no—
1565C2×C4—4882no—
1566C2×C4—4882no—
1567C2×C4—4882no—
1568C2×C4—4882no—
1569C2×C4—4882no—
1570C2×C4—4882no—
1571C2×C4—2444no—
1572C2×C4—2444no—
1573C2×C4—2444no—
1574C2×C4—2444no—
1575C2×C4—2444no—
1576C2×C4—2444no—
1577C2×C4C22×C4×D6112yes—
1578C2×C4C22×C4×D6112yes—
1579C2×C4C22×C4×D6112yes—
1580C2×C4C22×C4×D6112yes—
1581C2×C4C22×C4×D6112yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—1222no—
1596C22—1222no—
1597C22—1222no—
1598C22—1222no—
1599C22—1222no—
1600C22—1222no—
1601C22—1222no—
1602C22—1222no—
1603C22—1222no—
1604C22—1222no—
1605C22—1222no—
1606C22—1222no—
1607C22—4888no—
1608C22—4888no—
1609C22—2441no—
1610C22—2441no—
1611C22—2441no—
1612C22—2441no—
1613C22—2441no—
1614C22—2441no—
1615C22—2441no—
1616C22—2441no—
1617C22—2441no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22#1684023414yes—
1626C22C23×C4×D6111yescharacteristic
1627C22H(5,𝔽2)×D6111yescharacteristic
1628C22C2×#1451982211yescharacteristic
1629C22C2×#1451982311yescharacteristic
1630C22#1684059711yescharacteristic
1631C22#1684059911yescharacteristic
1632C22#1684059911yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—1222no—
1647C4—1222no—
1648C4—1222no—
1649C4—1222no—
1650C4—1222no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C4—2441no—
1656C4—2441no—
1657C4—2441no—
1658C2—24no—
1659C2—42no—
1660C2—2442no—
1661C2—2442no—
1662C2—2442no—
1663C2—2442no—
1664C2C2×#1684023411yescharacteristic
1665C2#2145901911yescharacteristic
1666C2#2145902511yescharacteristic
1667C2#2146001411yescharacteristic
1668C2#2146013011yescharacteristic
1669C2#2146017311yescharacteristic
1670C2#2146037611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2322C2
socle, cosocleC23×C61C25
prime radicalC2×#16840404C2
hypercenter#2322D61
hypocenterC61#34492
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2322

Complements

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

NH ≅ G/Ntype
2. #21448981C2semidirect
3. #21448975C2semidirect
4. #21448966C2semidirect
5. #21448959C2semidirect
6. #21448926C2semidirect
7. #21448864C2semidirect
8. #21448856C2semidirect
9. #21448815C2semidirect
10. #21448801C2semidirect
11. #21448758C2semidirect
12. #21448753C2semidirect
13. #21448666C2semidirect
14. #21448661C2semidirect
15. #21448643C2semidirect
16. D4×#11758198C2semidirect
17. #21448633C2semidirect
18. #21448612C2semidirect
19. #21448583C2semidirect
20. #21448573C2semidirect
21. #21448523C2semidirect
22. #21448476C2semidirect
23. #21448476C2semidirect
24. #21448458C2semidirect
25. #21448413C2semidirect
26. #21448412C2semidirect
27. #21448393C2semidirect
28. #21448329C2semidirect
29. #21448255C2semidirect
30. C2×#16839652C2semidirect
31. C61×#2322C2semidirect
34. #16840404C4semidirect
43. C2×C4×D244C22semidirect
47. C2×#14519737C22semidirect
48. C2×#14519737C22semidirect
49. C2×#14519737C22semidirect
50. C2×#14519736C22semidirect
51. C2×#14519735C22semidirect
58. C22×C4×Dic61C22semidirect
59. #16839667C22semidirect
60. #16839667C22semidirect
61. #16839666C22semidirect
62. #16839666C22semidirect
67. #16839663C22semidirect
68. #16839663C22semidirect
69. #16839663C22semidirect
70. #16839662C22semidirect
71. #16839661C22semidirect
72. #16839659C22semidirect
73. #16839656C22semidirect
74. #16839655C22semidirect
75. #16839655C22semidirect
79. #16839654C22semidirect
80. #16839654C22semidirect
82. #16839653C22semidirect
88. #16839652C22semidirect
89. #16839652C22semidirect
90. #16839652C22semidirect
91. #16839652C22semidirect
92. #16839652C22semidirect
93. #16839652C22semidirect
94. #16839652C22semidirect
98. #16839651C22semidirect
99. #16839651C22semidirect
100. #16839650C22semidirect
101. #16839649C22semidirect
102. #16839648C22semidirect
103. #16839648C22semidirect
104. #16839646C22semidirect
105. #16839646C22semidirect
106. #16839644C22semidirect
107. #16839643C22semidirect
108. #16839643C22semidirect
113. #16839641C22semidirect
114. #16839641C22semidirect
115. #16839641C22semidirect
120. #16839640C22semidirect
121. #16839640C22semidirect
122. #16839640C22semidirect
123. #16839640C22semidirect
129. #16839638C22semidirect
130. #16839637C22semidirect
131. #16839637C22semidirect
132. #16839636C22semidirect
133. #16839636C22semidirect
134. #16839636C22semidirect
135. #16839629C22semidirect
138. #16839624C22semidirect
139. #16839624C22semidirect
140. #16839621C22semidirect
141. #16839620C22semidirect
143. #16839619C22semidirect
144. #16839619C22semidirect
145. #16839619C22semidirect
146. #16839619C22semidirect
151. C4⋊C4×Dic61C22semidirect
152. C4⋊C4×Dic61C22semidirect
153. #16839613C22semidirect
154. C22⋊C4×Dic61C22semidirect
155. C22⋊C4×Dic61C22semidirect
156. C22⋊C4×Dic61C22semidirect
157. 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. #16839608C22semidirect
169. #16839607C22semidirect
170. C2×#14519684C22semidirect
171. C2×#14519684C22semidirect
172. #95×D61C22semidirect
175. C22×C4⋊C4×C61C22semidirect
176. C61×#389C22semidirect
177. C61×#389C22semidirect
178. C61×#388C22semidirect
179. C61×#388C22semidirect
180. C61×#387C22semidirect
181. C61×#387C22semidirect
183. C61×#385C22semidirect
184. C61×#385C22semidirect
185. C61×#385C22semidirect
186. C61×#381C22semidirect
187. C4×C22⋊C4×C61C22semidirect
192. C2×#11758222C2×C4semidirect
204. C2×D4×D61C2×C4semidirect
217. #14519763C2×C4semidirect
218. #14519762C2×C4semidirect
219. #14519755C2×C4semidirect
220. #14519752C2×C4semidirect
221. #14519750C2×C4semidirect
222. #14519749C2×C4semidirect
223. #14519747C2×C4semidirect
224. #14519747C2×C4semidirect
227. #14519739C2×C4semidirect
231. #14519737C2×C4semidirect
254. C2×#11758198C2×C4semidirect
292. C22⋊C4×D61C2×C4semidirect
343. #123×C61C2×C4semidirect
844. #2322D61semidirect
889. C22×C4⋊C4C2×D61semidirect
911. #389C2×D61semidirect
912. #389C2×D61semidirect
941. #388C2×D61semidirect
942. #388C2×D61semidirect
951. #387C2×D61semidirect
952. #387C2×D61semidirect
980. #385C2×D61semidirect
981. #385C2×D61semidirect
982. #385C2×D61semidirect
988. #381C2×D61semidirect
1017. C4×C22⋊C4C2×D61semidirect
1023. C61#34492semidirect
1060. #123C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168404042
#214489812
#214489752
#214489662
#214489592
#214489262
#214488642
#214488562
#214488152
#214488012
#214487582
#214487532
#214486662
#214486612
#214486432
D4×#117581982
#214486332
#214486122
#214485832
#214485732
#214485232
#214484762
#214484582
#214484132
#214484122
#214483932
#214483292
#214482552
C2×#168396522
C61×#23222
#3449261