Finite Group Databasebeta

← #29845364

Subgroups — #29845364

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×#16840401C211yesmaximal, characteristic
2#21448984C211yesmaximal, characteristic, complemented
3#21448977C211yesmaximal, characteristic, complemented
4#21448969C211yesmaximal, characteristic, complemented
5#21448957C211yesmaximal, characteristic, complemented
6#21448927C211yesmaximal, characteristic, complemented
7#21448870C211yesmaximal, characteristic, complemented
8#21448861C211yesmaximal, characteristic, complemented
9#21448804C211yesmaximal, characteristic, complemented
10#21448799C211yesmaximal, characteristic, complemented
11#21448756C211yesmaximal, characteristic, complemented
12#21448753C211yesmaximal, characteristic, complemented
13#21448662C211yesmaximal, characteristic, complemented
14#21448661C211yesmaximal, characteristic, complemented
15#21448645C211yesmaximal, characteristic, complemented
16#21448640C211yesmaximal, characteristic, complemented
17#21448630C211yesmaximal, characteristic, complemented
18#21448610C211yesmaximal, characteristic, complemented
19#21448573C211yesmaximal, characteristic, complemented
20#21448520C211yesmaximal, characteristic, complemented
21#21448492C211yesmaximal, characteristic, complemented
22#21448478C211yesmaximal, characteristic, complemented
23#21448475C211yesmaximal, characteristic, complemented
24#21448460C211yesmaximal, characteristic, complemented
25#21448414C211yesmaximal, characteristic, complemented
26#21448409C211yesmaximal, characteristic, complemented
27#21448393C211yesmaximal, characteristic, complemented
28#21448331C211yesmaximal, characteristic, complemented
29#21448265C211yesmaximal, characteristic, complemented
30#388×D61C211yesmaximal, characteristic, complemented
31C61×#2333C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34#16840401C4116yescomplemented
35C2×#14519763C2211yescharacteristic
36C2×#14519762C2211yescharacteristic
37C2×#14519758C2211yescharacteristic
38C2×#14519755C2211yescharacteristic
39C2×#14519750C2211yescharacteristic
40C2×#14519749C2211yescharacteristic
41C2×#14519745C2211yescharacteristic
42C2×#14519745C2211yescharacteristic
43C2×C4×D244C2211yescharacteristic
44C2×D4×Dic61C2211yescharacteristic, complemented
45C2×#14519739C2211yescharacteristic
46C2×C4×C22⋊D61C2211yescharacteristic
47C2×C4×C22⋊D61C2211yescharacteristic, complemented
48C2×#14519737C2211yescharacteristic
49C2×#14519737C2211yescharacteristic, complemented
50C2×#14519737C2211yescharacteristic, complemented
51C2×#14519736C2211yescharacteristic, complemented
52C2×#14519734C2211yescharacteristic, complemented
53C2×C4⋊C4×D61C2211yescharacteristic, complemented
54C22×#11758198C2211yescharacteristic
55C22×#11758198C2211yescharacteristic
56C2×C22⋊C4×D61C2211yescharacteristic
57C2×C22⋊C4×D61C2211yescharacteristic
58C2×C22⋊C4×D61C2211yescharacteristic
59C2×C22⋊C4×D61C2211yescharacteristic
60C2×C42×D61C2211yescharacteristic, complemented
61#16839668C2211yescharacteristic, complemented
62#16839667C2211yescharacteristic, complemented
63#16839666C2211yescharacteristic, complemented
64#16839666C2211yescharacteristic, complemented
65#16839665C2211yescharacteristic
66#16839665C2211yescharacteristic, complemented
67#16839665C2211yescharacteristic, complemented
68#16839662C2211yescharacteristic
69#16839662C2211yescharacteristic
70#16839662C2211yescharacteristic, complemented
71#16839661C2211yescharacteristic, complemented
72#16839659C2211yescharacteristic, complemented
73#16839657C2211yescharacteristic, complemented
74#16839657C2211yescharacteristic, complemented
75#16839656C2211yescharacteristic, complemented
76#16839656C2211yescharacteristic, complemented
77#16839656C2211yescharacteristic, complemented
78#16839656C2211yescharacteristic, complemented
79#16839656C2211yescharacteristic, complemented
80#16839655C2211yescharacteristic, complemented
81#16839655C2211yescharacteristic, complemented
82#16839654C2211yescharacteristic
83#16839654C2211yescharacteristic
84#16839654C2211yescharacteristic
85#16839654C2211yescharacteristic, complemented
86#16839653C2211yescharacteristic
87#16839653C2211yescharacteristic
88#16839653C2211yescharacteristic
89#16839653C2211yescharacteristic, complemented
90#16839653C2211yescharacteristic, complemented
91#16839652C2211yescharacteristic
92#16839651C2211yescharacteristic
93#16839651C2211yescharacteristic
94#16839651C2211yescharacteristic
95#16839651C2211yescharacteristic
96#16839651C2211yescharacteristic
97#16839651C2211yescharacteristic, complemented
98#16839651C2211yescharacteristic, complemented
99#16839651C2211yescharacteristic, complemented
100#16839650C2211yescharacteristic, complemented
101#16839650C2211yescharacteristic, complemented
102#16839650C2211yescharacteristic, complemented
103#16839649C2211yescharacteristic, complemented
104#16839649C2211yescharacteristic, complemented
105#16839649C2211yescharacteristic, complemented
106#16839646C2211yescharacteristic, complemented
107#16839646C2211yescharacteristic, complemented
108#16839644C2211yescharacteristic, complemented
109#16839644C2211yescharacteristic, complemented
110#16839644C2211yescharacteristic, complemented
111#16839642C2211yescharacteristic
112#16839642C2211yescharacteristic, complemented
113#16839641C2211yescharacteristic
114#16839641C2211yescharacteristic
115#16839641C2211yescharacteristic, complemented
116#16839640C2211yescharacteristic
117#16839640C2211yescharacteristic
118#16839639C2211yescharacteristic
119#16839639C2211yescharacteristic
120#16839638C2211yescharacteristic
121#16839638C2211yescharacteristic
122#16839638C2211yescharacteristic
123#16839638C2211yescharacteristic
124#16839638C2211yescharacteristic
125#16839638C2211yescharacteristic
126#16839638C2211yescharacteristic, complemented
127#16839638C2211yescharacteristic, complemented
128#16839638C2211yescharacteristic, complemented
129#16839636C2211yescharacteristic, complemented
130#16839636C2211yescharacteristic, complemented
131#16839636C2211yescharacteristic, complemented
132#16839636C2211yescharacteristic, complemented
133#16839635C2211yescharacteristic, complemented
134#16839634C2211yescharacteristic, complemented
135#16839634C2211yescharacteristic, complemented
136#16839633C2211yescharacteristic, complemented
137#16839629C2211yescharacteristic, complemented
138#16839624C2211yescharacteristic
139#16839624C2211yescharacteristic
140#16839624C2211yescharacteristic, complemented
141#16839623C2211yescharacteristic, complemented
142#16839621C2211yescharacteristic, complemented
143#16839620C2211yescharacteristic, complemented
144#16839620C2211yescharacteristic, complemented
145#16839620C2211yescharacteristic, complemented
146#16839620C2211yescharacteristic, complemented
147#16839620C2211yescharacteristic, complemented
148#16839619C2211yescharacteristic
149#16839617C2211yescharacteristic
150#16839617C2211yescharacteristic
151#16839617C2211yescharacteristic
152#16839617C2211yescharacteristic
153C4⋊C4×Dic61C2211yescharacteristic, complemented
154C4×#11758196C2211yescharacteristic, complemented
155#16839613C2211yescharacteristic, complemented
156C22⋊C4×Dic61C2211yescharacteristic, complemented
157C22⋊C4×Dic61C2211yescharacteristic, complemented
158C22⋊C4×Dic61C2211yescharacteristic, complemented
159C4×#11758198C2211yescharacteristic
160C4×#11758198C2211yescharacteristic, complemented
161C4×#11758198C2211yescharacteristic, complemented
162C4×C22⋊Dic61C2211yescharacteristic, complemented
163C4×C22⋊Dic61C2211yescharacteristic, complemented
164#16839609C2211yescharacteristic, complemented
165#16839609C2211yescharacteristic, complemented
166#16839609C2211yescharacteristic, complemented
167#16839609C2211yescharacteristic, complemented
168#16839608C2211yescharacteristic, complemented
169#16839607C2211yescharacteristic, complemented
170C2×#14519684C2211yescharacteristic, complemented
171#95×D61C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173C2×#121×C61C2211yescharacteristic
174C61×#390C2211yescharacteristic
175C61×#390C2211yescharacteristic, complemented
176C61×#388C2211yescharacteristic, complemented
177C61×#388C2211yescharacteristic, complemented
178C61×#387C2211yescharacteristic, complemented
179C61×#387C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic, complemented
184C61×#381C2211yescharacteristic, complemented
185C4×C22⋊C4×C61C2211yescharacteristic, complemented
186C4×C22⋊C4×C61C2211yescharacteristic, complemented
187C4×C22⋊C4×C61C2211yescharacteristic, complemented
188C24×D61C2311yescharacteristic
189C24×D61C2311yescharacteristic
190C2×#11758224—42no—
191C2×#11758224—42no—
192C2×#11758224C2×C418yescomplemented
193C22×Dic122C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C2×D4×D61—42no—
201C2×D4×D61—42no—
202C2×D4×D61C2×C418yescomplemented
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216#14519763C2×C418yescomplemented
217#14519762C2×C418yescomplemented
218#14519758C2×C418yescomplemented
219#14519755C2×C418yescomplemented
220#14519750C2×C418yescomplemented
221#14519749C2×C418yescomplemented
222#14519745C2×C418yescomplemented
223#14519745C2×C418yescomplemented
224C4×D244—42no—
225D4×Dic61—42no—
226#14519739—42no—
227C4×C22⋊D61—42no—
228C4×C22⋊D61C2×C418yescomplemented
229#14519737—42no—
230#14519737—42no—
231#14519737C2×C418yescomplemented
232#14519736—42no—
233#14519734—42no—
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C4⋊C4×D61—42no—
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×#11758198—42no—
266C2×#11758198C2×C418yescomplemented
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C22⋊C4×D61—42no—
293C22⋊C4×D61—42no—
294C22⋊C4×D61—42no—
295C22⋊C4×D61C2×C418yescomplemented
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
308C2×C4×Dic61C2311yescharacteristic
309C42×D61—42no—
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340C22×D4×C61C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C22×D4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344C23×C4×C61C2311yescharacteristic
345C23×C4×C61C2311yescharacteristic
346#121×C61C2×C418yescomplemented
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C42×C61C2311yescharacteristic
363C2×C42×C61C2311yescharacteristic
364C2×C42×C61C2311yescharacteristic
365C2×C42×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C24×C61C2411yescharacteristic
379C23×D61—22no—
380C23×D61—22no—
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×D61—41no—
391C23×D61C22×C414yes—
392C23×D61C22×C414yes—
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C2×D4×C61—41no—
397C2×D4×C61—41no—
398C2×D4×C61—41no—
399C2×D4×C61—41no—
400C2×D4×C61—41no—
401C2×D4×C61—41no—
402C2×D4×C61C22×C414yes—
403C2×D4×C61C22×C414yes—
404C2×D4×C61C22×C414yes—
405C22×C4×C61—41no—
406C22×C4×C61—41no—
407C22×C4×C61—41no—
408C22×C4×C61—41no—
409C22×C4×C61—41no—
410C22×C4×C61—41no—
411C22×C4×C61—41no—
412C22×C4×C61—41no—
413C22×C4×C61C22×C414yes—
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
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C2×C22⋊D61—22no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61—41no—
432C2×C22⋊D61—41no—
433C2×C22⋊D61—41no—
434C2×C22⋊D61—41no—
435C2×C22⋊D61—41no—
436C2×C22⋊D61C22×C414yes—
437C2×C22⋊D61C22×C414yes—
438C2×C22⋊D61C22×C414yes—
439C2×C22⋊D61C22×C414yes—
440C2×C22⋊D61C22×C414yes—
441C22×Dic61—22no—
442C22×Dic61—41no—
443C22×Dic61—41no—
444C22×Dic61—41no—
445C22×Dic61—41no—
446C22×Dic61—41no—
447C22×Dic61—41no—
448C22×Dic61—41no—
449C22×Dic61—41no—
450C22×Dic61—41no—
451C22×Dic61C22×C414yes—
452C22×Dic61C22×C414yes—
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466#11758224—416no—
467D4×D61—416no—
468C2×D244—22no—
469C2×D244—22no—
470C2×D244C22×C414yes—
471C2×C4×D61—22no—
472C2×C4×D61—22no—
473C2×C4×D61—22no—
474C2×C4×D61—22no—
475C2×C4×D61—22no—
476C2×C4×D61—22no—
477C2×C4×D61—22no—
478C2×C4×D61—22no—
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×D61—41no—
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×C61C22×C414yes—
504C22⋊C4×C61—41no—
505C22⋊C4×C61—41no—
506C22⋊C4×C61—41no—
507C22⋊C4×C61—41no—
508C22⋊C4×C61—41no—
509C22⋊C4×C61—41no—
510C22⋊C4×C61—41no—
511C22⋊C4×C61—41no—
512C22⋊C4×C61—41no—
513C22⋊C4×C61—41no—
514C22⋊C4×C61C22×C414yes—
515C22⋊C4×C61C22×C414yes—
516C42×C61—41no—
517C42×C61—41no—
518C42×C61—41no—
519C42×C61—41no—
520C22⋊Dic61—22no—
521C22⋊Dic61—22no—
522C22⋊Dic61—41no—
523C22⋊Dic61—41no—
524C22⋊Dic61—41no—
525C22⋊Dic61—41no—
526C22⋊Dic61—41no—
527C22⋊Dic61—41no—
528C22⋊Dic61—41no—
529C22⋊Dic61—41no—
530C22⋊Dic61C22×C414yes—
531C22⋊Dic61C22×C414yes—
532C22⋊Dic61C22×C414yes—
533#11758198—22no—
534#11758198—22no—
535#11758198—22no—
536#11758198—22no—
537#11758198—22no—
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#11758198C22×C414yes—
552#11758198C22×C414yes—
553#11758198C22×C414yes—
554#11758198C22×C414yes—
555#11758198C22×C414yes—
556#11758198C22×C414yes—
557#11758198C22×C414yes—
558C4⋊Dic61—22no—
559C4⋊Dic61—41no—
560C4⋊Dic61—41no—
561C4⋊Dic61—41no—
562#11758196—41no—
563#11758196—41no—
564#11758196—41no—
565#11758196—41no—
566#11758196—41no—
567#11758196—41no—
568#11758196—41no—
569#11758196—41no—
570#11758196—41no—
571#11758196—41no—
572#11758196C22×C414yes—
573#11758196C22×C414yes—
574#11758196C22×C414yes—
575C4×Dic61—22no—
576C4×Dic61—22no—
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×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61—21no—
605C23×C61—21no—
606C23×C61C23×C412yes—
607C23×C61C23×C412yes—
608C23×C61C23×C412yes—
609C23×C61C2511yescharacteristic
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—28no—
627C22×D61—44no—
628C22×D61—44no—
629C22×D61—44no—
630C22×D61—44no—
631C22×D61—44no—
632C22×D61—82no—
633C22×D61—82no—
634C22×D61—82no—
635C22×D61—82no—
636C22×D61—82no—
637C22×D61—82no—
638C22×D61—82no—
639C22×D61—82no—
640C22×D61C23×C412yes—
641C22×D61C23×C412yes—
642C22×D61C23×C412yes—
643C22×D61H(5,𝔽2)12yes—
644C22×D61H(5,𝔽2)12yes—
645D4×C61—44no—
646D4×C61—44no—
647D4×C61—44no—
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—44no—
681C2×C4×C61—82no—
682C2×C4×C61—82no—
683C2×C4×C61C23×C412yes—
684C2×C4×C61C23×C412yes—
685C2×C4×C61C23×C412yes—
686C2×C4×C61C23×C412yes—
687C22⋊D61—28no—
688C22⋊D61—28no—
689C22⋊D61—44no—
690C22⋊D61—44no—
691C22⋊D61—44no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—44no—
726C2×Dic61—44no—
727C2×Dic61—82no—
728C2×Dic61—82no—
729C2×Dic61C23×C412yes—
730C2×Dic61C23×C412yes—
731C2×Dic61C23×C412yes—
732C2×Dic61C23×C412yes—
733C2×Dic61C23×C412yes—
734C2×Dic61H(5,𝔽2)12yes—
735D244—28no—
736C4×D61—28no—
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—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61C24×C411yescharacteristic
769C22×C61C2×H(5,𝔽2)11yescharacteristic
770C22×C61C2×H(5,𝔽2)11yescharacteristic
771C22×C61C2×H(5,𝔽2)11yescharacteristic
772C22×C61#58511yescharacteristic
773C22×C61#58511yescharacteristic
774C22×C61#58511yescharacteristic
775C2×D61—22no—
776C2×D61—22no—
777C2×D61—22no—
778C2×D61—22no—
779C2×D61—22no—
780C2×D61—22no—
781C2×D61—22no—
782C2×D61—22no—
783C2×D61—22no—
784C2×D61—22no—
785C2×D61—22no—
786C2×D61—22no—
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—88no—
796C2×D61—88no—
797C2×D61#51814yes—
798C4×C61—22no—
799C4×C61—22no—
800C4×C61—22no—
801C4×C61—22no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810Dic61—22no—
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#2333D6111yescharacteristic, complemented
842#2332—611no—
843#2325—611no—
844#2322—611no—
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—42no—
855C2×C61—42no—
856C2×C61—42no—
857C2×C61C2×#51811yescharacteristic
858C2×C61#342811yescharacteristic
859C2×C61C4×H(5,𝔽2)11yescharacteristic
860C2×C61#353411yescharacteristic
861C2×C61#354211yescharacteristic
862C2×C61#354511yescharacteristic
863C2×C61#356011yescharacteristic
864D61—24no—
865D61—42no—
866D61—42no—
867C22×#41—611no—
868C23×D4—611no—
869#546—6116no—
870C2×#124—611no—
871C2×#123—611no—
872C2×#123—611no—
873C2×C22⋊Q8—611no—
874C2×#121—611no—
875C2×#121—611no—
876C2×#121C2×D6111yescharacteristic
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×D4—611no—
887C2×#117—611no—
888C2×#117—611no—
889C22×C4⋊C4—611no—
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#390C2×D6111yescharacteristic
908#390C2×D6111yescharacteristic, complemented
909#389—611no—
910#389—611no—
911#389—611no—
912#389—611no—
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#386C2×D6111yescharacteristic
972#386C2×D6111yescharacteristic, complemented
973#386C2×D6111yescharacteristic, complemented
974#386C2×D6111yescharacteristic, complemented
975#385—611no—
976#385—611no—
977#385—611no—
978#385—611no—
979#385—611no—
980#385—611no—
981#385—611no—
982#385—611no—
983#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⋊C4C2×D6111yescharacteristic, complemented
1016C4×C22⋊C4C2×D6111yescharacteristic, complemented
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—611no—
1035C22×D4—618no—
1036C22×D4—611no—
1037C22×D4—2442no—
1038C22×D4—2442no—
1039C22×D4C22×D6111yescharacteristic
1040C22×D4C22×D6111yescharacteristic
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×C4—611no—
1055C23×C4C22×D6111yescharacteristic
1056C23×C4C22×D6111yescharacteristic
1057C23×C4C22×D6111yescharacteristic
1058#124—618no—
1059#123—618no—
1060#123—618no—
1061C22⋊Q8—618no—
1062#121—618no—
1063#121—618no—
1064#121C4×D6118yescomplemented
1065#120—618no—
1066#120—618no—
1067C4×D4—618no—
1068C4×D4—618no—
1069C4×D4—2442no—
1070C4×D4—2442no—
1071C4×D4—2442no—
1072C4×D4—2442no—
1073C4×D4—2442no—
1074C4×D4—2442no—
1075#117—2442no—
1076#117—2442no—
1077C2×C4⋊C4—611no—
1078C2×C4⋊C4—611no—
1079C2×C4⋊C4—611no—
1080C2×C4⋊C4—611no—
1081C2×C4⋊C4—611no—
1082C2×C4⋊C4—611no—
1083C2×C4⋊C4—611no—
1084C2×C4⋊C4—611no—
1085C2×C4⋊C4—611no—
1086C2×C4⋊C4—611no—
1087C2×C4⋊C4—611no—
1088C2×C4⋊C4—611no—
1089C2×C4⋊C4—611no—
1090C2×C4⋊C4—611no—
1091C2×C4⋊C4—611no—
1092C2×C4⋊C4—611no—
1093C2×C4⋊C4—611no—
1094C2×C4⋊C4—2442no—
1095C2×C4⋊C4C22×D6111yescharacteristic
1096C2×C4⋊C4C22×D6111yescharacteristic
1097C2×C4⋊C4C22×D6111yescharacteristic
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—611no—
1100C2×C22⋊C4—611no—
1101C2×C22⋊C4—618no—
1102C2×C22⋊C4—611no—
1103C2×C22⋊C4—611no—
1104C2×C22⋊C4—611no—
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—618no—
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—2442no—
1139C2×C22⋊C4—2442no—
1140C2×C22⋊C4—2442no—
1141C2×C22⋊C4—2442no—
1142C2×C22⋊C4C22×D6111yescharacteristic
1143C2×C22⋊C4C22×D6111yescharacteristic
1144C2×C22⋊C4C22×D6111yescharacteristic
1145C2×C22⋊C4C22×D6111yescharacteristic
1146C2×C22⋊C4C22×D6111yescharacteristic
1147C2×C22⋊C4C22×D6111yescharacteristic
1148C2×C22⋊C4C22×D6111yescharacteristic
1149C2×C22⋊C4C22×D6111yescharacteristic
1150C2×C22⋊C4C22×D6111yescharacteristic
1151C2×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—2442no—
1168C2×C42C22×D6111yescharacteristic
1169C2×C42C22×D6111yescharacteristic
1170C2×C42C22×D6111yescharacteristic
1171C2×C42C22×D6111yescharacteristic
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95—611no—
1180#95—611no—
1181#95—611no—
1182#95—611no—
1183#95—611no—
1184#95—611no—
1185#95—611no—
1186#95—611no—
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95—611no—
1191#95—611no—
1192#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196#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—614no—
1216C24—614no—
1217C24—1222no—
1218C24—1222no—
1219C24—2441no—
1220C24—2441no—
1221C24—2441no—
1222C24—2441no—
1223C24—2441no—
1224C24—2441no—
1225C24—2441no—
1226C24—2441no—
1227C24—2441no—
1228C24—2441no—
1229C24C23×D6111yescharacteristic
1230C24C23×D6111yescharacteristic
1231C24C23×D6111yescharacteristic
1232#41—24416no—
1233C2×Q8—614no—
1234C2×Q8—2441no—
1235C2×Q8—2441no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—614no—
1243C2×D4—614no—
1244C2×D4—614no—
1245C2×D4—614no—
1246C2×D4—614no—
1247C2×D4—614no—
1248C2×D4—1222no—
1249C2×D4—1222no—
1250C2×D4—1222no—
1251C2×D4—1222no—
1252C2×D4—1222no—
1253C2×D4—1222no—
1254C2×D4—2441no—
1255C2×D4—2441no—
1256C2×D4—2441no—
1257C2×D4—2441no—
1258C2×D4—2441no—
1259C2×D4—2441no—
1260C2×D4—24416no—
1261C2×D4C2×C4×D6114yes—
1262C2×D4C2×C4×D6114yes—
1263C2×D4C2×C4×D6114yes—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—611no—
1273C22×C4—611no—
1274C22×C4—611no—
1275C22×C4—611no—
1276C22×C4—611no—
1277C22×C4—611no—
1278C22×C4—614no—
1279C22×C4—614no—
1280C22×C4—614no—
1281C22×C4—614no—
1282C22×C4—614no—
1283C22×C4—611no—
1284C22×C4—611no—
1285C22×C4—611no—
1286C22×C4—611no—
1287C22×C4—611no—
1288C22×C4—611no—
1289C22×C4—611no—
1290C22×C4—1222no—
1291C22×C4—1222no—
1292C22×C4—1222no—
1293C22×C4—1222no—
1294C22×C4—1222no—
1295C22×C4—1222no—
1296C22×C4—1222no—
1297C22×C4—1222no—
1298C22×C4—1222no—
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×C4—2441no—
1324C22×C4C2×C4×D6114yes—
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—614no—
1340C4⋊C4—614no—
1341C4⋊C4—614no—
1342C4⋊C4—1222no—
1343C4⋊C4—2441no—
1344C4⋊C4—2441no—
1345C4⋊C4—2441no—
1346C4⋊C4—2441no—
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⋊C4—2441no—
1356C4⋊C4C2×C4×D6114yes—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—614no—
1368C22⋊C4—614no—
1369C22⋊C4—614no—
1370C22⋊C4—614no—
1371C22⋊C4—614no—
1372C22⋊C4—614no—
1373C22⋊C4—614no—
1374C22⋊C4—614no—
1375C22⋊C4—614no—
1376C22⋊C4—614no—
1377C22⋊C4—1222no—
1378C22⋊C4—1222no—
1379C22⋊C4—1222no—
1380C22⋊C4—1222no—
1381C22⋊C4—1222no—
1382C22⋊C4—1222no—
1383C22⋊C4—1222no—
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⋊C4—2441no—
1405C22⋊C4C2×C4×D6114yes—
1406C22⋊C4C2×C4×D6114yes—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—614no—
1412C42—1222no—
1413C42—1222no—
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—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—612no—
1443C23—612no—
1444C23—612no—
1445C23—612no—
1446C23—612no—
1447C23—1228no—
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—1221no—
1464C23—4882no—
1465C23—4882no—
1466C23—4882no—
1467C23—4882no—
1468C23—4882no—
1469C23—4882no—
1470C23—4882no—
1471C23—4882no—
1472C23—2444no—
1473C23—2444no—
1474C23—2444no—
1475C23—2444no—
1476C23—2444no—
1477C23C22×C4×D6112yes—
1478C23C22×C4×D6112yes—
1479C23C22×C4×D6112yes—
1480C23C24×D6111yescharacteristic
1481Q8—2444no—
1482D4—44no—
1483D4—44no—
1484D4—44no—
1485D4—1228no—
1486D4—1228no—
1487D4—1228no—
1488D4—2444no—
1489D4—2444no—
1490D4—2444no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—44no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4—612no—
1527C2×C4—612no—
1528C2×C4—612no—
1529C2×C4—612no—
1530C2×C4—612no—
1531C2×C4—612no—
1532C2×C4—1228no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—1221no—
1564C2×C4—1221no—
1565C2×C4—1221no—
1566C2×C4—4882no—
1567C2×C4—4882no—
1568C2×C4—4882no—
1569C2×C4—4882no—
1570C2×C4—4882no—
1571C2×C4—4882no—
1572C2×C4—2444no—
1573C2×C4—2444no—
1574C2×C4—2444no—
1575C2×C4—2444no—
1576C2×C4—2444no—
1577C2×C4—2444no—
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—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—614no—
1604C22—1222no—
1605C22—1222no—
1606C22—1222no—
1607C22—1222no—
1608C22—1222no—
1609C22—1222no—
1610C22—1222no—
1611C22—1222no—
1612C22—1222no—
1613C22—1222no—
1614C22—1222no—
1615C22—1222no—
1616C22—4888no—
1617C22—4888no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22C23×C4×D6111yescharacteristic
1627C22H(5,𝔽2)×D6111yescharacteristic
1628C22H(5,𝔽2)×D6111yescharacteristic
1629C22H(5,𝔽2)×D6111yescharacteristic
1630C22#1684059711yescharacteristic
1631C22#1684059811yescharacteristic
1632C22#1684059811yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—1222no—
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—42no—
1659C2—42no—
1660C2—42no—
1661C2—1224no—
1662C2—2442no—
1663C2—2442no—
1664C2#518×D6111yescharacteristic
1665C2#2145901811yescharacteristic
1666C2#2145902311yescharacteristic
1667C2#2146000211yescharacteristic
1668C2#2146012611yescharacteristic
1669C2#2146017011yescharacteristic
1670C2#2146036411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2333C2
socle, cosocleC23×C61C25
prime radicalC2×#16840401C2
hypercenter#2333D61
hypocenterC61#34492
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #21448984C2semidirect
3. #21448977C2semidirect
4. #21448969C2semidirect
5. #21448957C2semidirect
6. #21448927C2semidirect
7. #21448870C2semidirect
8. #21448861C2semidirect
9. #21448804C2semidirect
10. #21448799C2semidirect
11. #21448756C2semidirect
12. #21448753C2semidirect
13. #21448662C2semidirect
14. #21448661C2semidirect
15. #21448645C2semidirect
16. #21448640C2semidirect
17. #21448630C2semidirect
18. #21448610C2semidirect
19. #21448573C2semidirect
20. #21448520C2semidirect
21. #21448492C2semidirect
22. #21448478C2semidirect
23. #21448475C2semidirect
24. #21448460C2semidirect
25. #21448414C2semidirect
26. #21448409C2semidirect
27. #21448393C2semidirect
28. #21448331C2semidirect
29. #21448265C2semidirect
30. #388×D61C2semidirect
31. C61×#2333C2semidirect
34. #16840401C4semidirect
44. C2×D4×Dic61C22semidirect
47. C2×C4×C22⋊D61C22semidirect
49. C2×#14519737C22semidirect
50. C2×#14519737C22semidirect
51. C2×#14519736C22semidirect
52. C2×#14519734C22semidirect
53. C2×C4⋊C4×D61C22semidirect
60. C2×C42×D61C22semidirect
61. #16839668C22semidirect
62. #16839667C22semidirect
63. #16839666C22semidirect
64. #16839666C22semidirect
66. #16839665C22semidirect
67. #16839665C22semidirect
70. #16839662C22semidirect
71. #16839661C22semidirect
72. #16839659C22semidirect
73. #16839657C22semidirect
74. #16839657C22semidirect
75. #16839656C22semidirect
76. #16839656C22semidirect
77. #16839656C22semidirect
78. #16839656C22semidirect
79. #16839656C22semidirect
80. #16839655C22semidirect
81. #16839655C22semidirect
85. #16839654C22semidirect
89. #16839653C22semidirect
90. #16839653C22semidirect
97. #16839651C22semidirect
98. #16839651C22semidirect
99. #16839651C22semidirect
100. #16839650C22semidirect
101. #16839650C22semidirect
102. #16839650C22semidirect
103. #16839649C22semidirect
104. #16839649C22semidirect
105. #16839649C22semidirect
106. #16839646C22semidirect
107. #16839646C22semidirect
108. #16839644C22semidirect
109. #16839644C22semidirect
110. #16839644C22semidirect
112. #16839642C22semidirect
115. #16839641C22semidirect
126. #16839638C22semidirect
127. #16839638C22semidirect
128. #16839638C22semidirect
129. #16839636C22semidirect
130. #16839636C22semidirect
131. #16839636C22semidirect
132. #16839636C22semidirect
133. #16839635C22semidirect
134. #16839634C22semidirect
135. #16839634C22semidirect
136. #16839633C22semidirect
137. #16839629C22semidirect
140. #16839624C22semidirect
141. #16839623C22semidirect
142. #16839621C22semidirect
143. #16839620C22semidirect
144. #16839620C22semidirect
145. #16839620C22semidirect
146. #16839620C22semidirect
147. #16839620C22semidirect
153. C4⋊C4×Dic61C22semidirect
154. C4×#11758196C22semidirect
155. #16839613C22semidirect
156. C22⋊C4×Dic61C22semidirect
157. C22⋊C4×Dic61C22semidirect
158. C22⋊C4×Dic61C22semidirect
160. C4×#11758198C22semidirect
161. C4×#11758198C22semidirect
162. C4×C22⋊Dic61C22semidirect
163. C4×C22⋊Dic61C22semidirect
164. #16839609C22semidirect
165. #16839609C22semidirect
166. #16839609C22semidirect
167. #16839609C22semidirect
168. #16839608C22semidirect
169. #16839607C22semidirect
170. C2×#14519684C22semidirect
171. #95×D61C22semidirect
172. #95×D61C22semidirect
175. C61×#390C22semidirect
176. C61×#388C22semidirect
177. C61×#388C22semidirect
178. C61×#387C22semidirect
179. C61×#387C22semidirect
181. C61×#386C22semidirect
182. C61×#386C22semidirect
183. C61×#386C22semidirect
184. C61×#381C22semidirect
185. C4×C22⋊C4×C61C22semidirect
186. C4×C22⋊C4×C61C22semidirect
187. C4×C22⋊C4×C61C22semidirect
192. C2×#11758224C2×C4semidirect
202. C2×D4×D61C2×C4semidirect
216. #14519763C2×C4semidirect
217. #14519762C2×C4semidirect
218. #14519758C2×C4semidirect
219. #14519755C2×C4semidirect
220. #14519750C2×C4semidirect
221. #14519749C2×C4semidirect
222. #14519745C2×C4semidirect
223. #14519745C2×C4semidirect
228. C4×C22⋊D61C2×C4semidirect
231. #14519737C2×C4semidirect
266. C2×#11758198C2×C4semidirect
295. C22⋊C4×D61C2×C4semidirect
346. #121×C61C2×C4semidirect
841. #2333D61semidirect
908. #390C2×D61semidirect
941. #388C2×D61semidirect
942. #388C2×D61semidirect
951. #387C2×D61semidirect
952. #387C2×D61semidirect
972. #386C2×D61semidirect
973. #386C2×D61semidirect
974. #386C2×D61semidirect
988. #381C2×D61semidirect
1015. C4×C22⋊C4C2×D61semidirect
1016. C4×C22⋊C4C2×D61semidirect
1017. C4×C22⋊C4C2×D61semidirect
1023. C61#34492semidirect
1064. #121C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168404012
#214489842
#214489772
#214489692
#214489572
#214489272
#214488702
#214488612
#214488042
#214487992
#214487562
#214487532
#214486622
#214486612
#214486452
#214486402
#214486302
#214486102
#214485732
#214485202
#214484922
#214484782
#214484752
#214484602
#214484142
#214484092
#214483932
#214483312
#214482652
#388×D612
C61×#23332
#3449261