Finite Group Databasebeta

← #29843716

Subgroups — #29843716

Order 15616.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840346C211yesmaximal, characteristic
2#21448991C211yesmaximal, characteristic, complemented
3#21448965C211yesmaximal, characteristic, complemented
4#21448961C211yesmaximal, characteristic, complemented
5#21448895C211yesmaximal, characteristic, complemented
6#21448894C211yesmaximal, characteristic, complemented
7#21448814C211yesmaximal, characteristic, complemented
8#21448809C211yesmaximal, characteristic, complemented
9#21448802C211yesmaximal, characteristic, complemented
10#21448799C211yesmaximal, characteristic, complemented
11#21448797C211yesmaximal, characteristic, complemented
12#21448795C211yesmaximal, characteristic, complemented
13#21448747C211yesmaximal, characteristic, complemented
14#21448745C211yesmaximal, characteristic, complemented
15#21448727C211yesmaximal, characteristic, complemented
16#21448725C211yesmaximal, characteristic, complemented
17#21448595C211yesmaximal, characteristic, complemented
18#21448592C211yesmaximal, characteristic, complemented
19#21448590C211yesmaximal, characteristic, complemented
20#21448590C211yesmaximal, characteristic, complemented
21#21448551C211yesmaximal, characteristic, complemented
22#21448523C211yesmaximal, characteristic, complemented
23#21448520C211yesmaximal, characteristic, complemented
24#21448516C211yesmaximal, characteristic, complemented
25#21448511C211yesmaximal, characteristic, complemented
26#21448509C211yesmaximal, characteristic, complemented
27#21448430C211yesmaximal, characteristic, complemented
28#21448357C211yesmaximal, characteristic, complemented
29#21448331C211yesmaximal, characteristic, complemented
30#388×D61C211yesmaximal, characteristic, complemented
31C61×#2379C211yesmaximal, characteristic, complemented
32#16840346C4116yescomplemented
33C2×#14519771C2211yescharacteristic
34C2×#14519770C2211yescharacteristic
35C2×#14519766C2211yescharacteristic
36C2×#14519761C2211yescharacteristic
37C2×#14519759C2211yescharacteristic
38C2×#14519753C2211yescharacteristic
39C2×#14519750C2211yescharacteristic
40C2×#14519750C2211yescharacteristic
41C2×#14519749C2211yescharacteristic
42C2×#14519747C2211yescharacteristic
43C2×#14519745C2211yescharacteristic
44C2×Q8×Dic61C2211yescharacteristic, complemented
45C2×C4×D244C2211yescharacteristic
46C2×C4×D244C2211yescharacteristic
47C2×D4×Dic61C2211yescharacteristic
48C2×#14519739C2211yescharacteristic
49C2×#14519739C2211yescharacteristic
50C2×C4×C22⋊D61C2211yescharacteristic
51C2×C4×C22⋊D61C2211yescharacteristic
52C2×C4×C22⋊D61C2211yescharacteristic
53C2×#14519737C2211yescharacteristic
54C2×#14519737C2211yescharacteristic
55C2×#14519737C2211yescharacteristic, complemented
56C2×#14519735C2211yescharacteristic, complemented
57C2×#14519733C2211yescharacteristic, complemented
58C2×C4⋊C4×D61C2211yescharacteristic
59C22×#11758198C2211yescharacteristic
60C2×C22⋊C4×D61C2211yescharacteristic
61C2×C22⋊C4×D61C2211yescharacteristic
62C2×C22⋊C4×D61C2211yescharacteristic
63C2×C22⋊C4×D61C2211yescharacteristic
64C2×C42×D61C2211yescharacteristic
65#16839669C2211yescharacteristic, complemented
66#16839665C2211yescharacteristic
67#16839663C2211yescharacteristic
68#16839662C2211yescharacteristic
69#16839662C2211yescharacteristic
70#16839662C2211yescharacteristic, complemented
71#16839660C2211yescharacteristic, complemented
72#16839659C2211yescharacteristic, complemented
73#16839659C2211yescharacteristic, complemented
74#16839658C2211yescharacteristic, complemented
75#16839658C2211yescharacteristic, complemented
76#16839657C2211yescharacteristic, complemented
77#16839657C2211yescharacteristic, complemented
78#16839657C2211yescharacteristic, complemented
79#16839656C2211yescharacteristic
80#16839656C2211yescharacteristic
81#16839656C2211yescharacteristic
82#16839655C2211yescharacteristic
83#16839655C2211yescharacteristic
84#16839655C2211yescharacteristic, complemented
85#16839655C2211yescharacteristic, complemented
86#16839654C2211yescharacteristic
87#16839654C2211yescharacteristic
88#16839654C2211yescharacteristic, complemented
89#16839653C2211yescharacteristic
90#16839653C2211yescharacteristic, complemented
91#16839652C2211yescharacteristic
92#16839652C2211yescharacteristic
93#16839651C2211yescharacteristic
94#16839651C2211yescharacteristic
95#16839651C2211yescharacteristic
96#16839651C2211yescharacteristic, complemented
97#16839651C2211yescharacteristic, complemented
98#16839650C2211yescharacteristic
99#16839649C2211yescharacteristic, complemented
100#16839649C2211yescharacteristic, complemented
101#16839649C2211yescharacteristic, complemented
102#16839647C2211yescharacteristic, complemented
103#16839646C2211yescharacteristic, complemented
104#16839645C2211yescharacteristic, complemented
105#16839645C2211yescharacteristic, complemented
106#16839645C2211yescharacteristic, complemented
107#16839644C2211yescharacteristic, complemented
108#16839644C2211yescharacteristic, complemented
109#16839643C2211yescharacteristic, complemented
110#16839643C2211yescharacteristic, complemented
111#16839641C2211yescharacteristic, complemented
112#16839640C2211yescharacteristic
113#16839640C2211yescharacteristic
114#16839640C2211yescharacteristic
115#16839640C2211yescharacteristic
116#16839639C2211yescharacteristic
117#16839639C2211yescharacteristic
118#16839638C2211yescharacteristic
119#16839638C2211yescharacteristic
120#16839638C2211yescharacteristic
121#16839638C2211yescharacteristic
122#16839638C2211yescharacteristic, complemented
123#16839637C2211yescharacteristic
124#16839637C2211yescharacteristic, complemented
125#16839636C2211yescharacteristic
126#16839636C2211yescharacteristic
127#16839636C2211yescharacteristic
128#16839636C2211yescharacteristic
129#16839636C2211yescharacteristic
130#16839636C2211yescharacteristic
131#16839636C2211yescharacteristic, complemented
132#16839636C2211yescharacteristic, complemented
133#16839635C2211yescharacteristic
134#16839634C2211yescharacteristic
135#16839634C2211yescharacteristic
136#16839633C2211yescharacteristic
137#16839633C2211yescharacteristic
138#16839633C2211yescharacteristic
139#16839633C2211yescharacteristic
140#16839633C2211yescharacteristic, complemented
141#16839626C2211yescharacteristic, complemented
142#16839626C2211yescharacteristic, complemented
143#16839621C2211yescharacteristic
144#16839621C2211yescharacteristic
145#16839621C2211yescharacteristic, complemented
146#16839620C2211yescharacteristic, complemented
147#16839620C2211yescharacteristic, complemented
148#16839619C2211yescharacteristic
149#16839619C2211yescharacteristic
150#16839619C2211yescharacteristic, complemented
151C4⋊C4×Dic61C2211yescharacteristic, complemented
152C4⋊C4×Dic61C2211yescharacteristic, complemented
153C4×#11758196C2211yescharacteristic, complemented
154C4×C4⋊Dic61C2211yescharacteristic, complemented
155C4×C4⋊Dic61C2211yescharacteristic, complemented
156#16839613C2211yescharacteristic, complemented
157#16839613C2211yescharacteristic, complemented
158#16839613C2211yescharacteristic, complemented
159C22⋊C4×Dic61C2211yescharacteristic
160C22⋊C4×Dic61C2211yescharacteristic, complemented
161C4×#11758198C2211yescharacteristic
162C4×C22⋊Dic61C2211yescharacteristic
163#16839609C2211yescharacteristic
164#16839609C2211yescharacteristic
165#16839609C2211yescharacteristic
166#16839609C2211yescharacteristic
167#16839609C2211yescharacteristic
168#16839609C2211yescharacteristic, complemented
169C2×#14519684C2211yescharacteristic, complemented
170#95×D61C2211yescharacteristic
171#95×D61C2211yescharacteristic
172#95×D61C2211yescharacteristic, complemented
173C2×#124×C61C2211yescharacteristic
174C61×#391C2211yescharacteristic, complemented
175C61×#391C2211yescharacteristic, complemented
176C61×#388C2211yescharacteristic
177C61×#388C2211yescharacteristic
178C61×#388C2211yescharacteristic, complemented
179C61×#388C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic
182C61×#385C2211yescharacteristic
183C61×#385C2211yescharacteristic
184C61×#385C2211yescharacteristic, complemented
185C61×#385C2211yescharacteristic, complemented
186C61×#382C2211yescharacteristic, complemented
187C61×#382C2211yescharacteristic, complemented
188C24×D61C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C23×Dic61C2311yescharacteristic
196C23×Dic61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C22×C4×D61C2311yescharacteristic
199C22×C4×D61C2311yescharacteristic
200C22×C4×D61C2311yescharacteristic
201C22×C4×D61C2311yescharacteristic
202C22×C4×D61C2311yescharacteristic
203C22×C4×D61C2311yescharacteristic
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209#14519771C2×C418yescomplemented
210#14519770C2×C418yescomplemented
211#14519766C2×C418yescomplemented
212#14519761C2×C418yescomplemented
213#14519759C2×C418yescomplemented
214#14519753C2×C418yescomplemented
215#14519750C2×C418yescomplemented
216#14519750C2×C418yescomplemented
217#14519749C2×C418yescomplemented
218#14519747C2×C418yescomplemented
219#14519745C2×C418yescomplemented
220Q8×Dic61—42no—
221C4×D244—42no—
222C4×D244C2×C418yescomplemented
223D4×Dic61—42no—
224#14519739—42no—
225#14519739—42no—
226C4×C22⋊D61—42no—
227C4×C22⋊D61—42no—
228C4×C22⋊D61—42no—
229#14519737—42no—
230#14519737—42no—
231#14519737C2×C418yescomplemented
232#14519735—42no—
233#14519733—42no—
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×C4⋊Dic61C2311yescharacteristic
239C2×C4⋊Dic61C2311yescharacteristic
240C2×C4⋊Dic61C2311yescharacteristic
241C2×C4⋊Dic61C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C4⋊C4×D61—42no—
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×#11758198—42no—
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
309C2×C4×Dic61C2311yescharacteristic
310C2×C4×Dic61C2311yescharacteristic
311C42×D61—42no—
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×Q8×C61C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344#124×C61C2×C418yescomplemented
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C42×C61C2311yescharacteristic
362C2×C42×C61C2311yescharacteristic
363C2×C42×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C23×D61—22no—
379C23×D61—22no—
380C23×D61—41no—
381C23×D61—41no—
382C23×D61—41no—
383C23×D61—41no—
384C23×D61C22×C414yes—
385C23×D61C2411yescharacteristic
386C23×D61C2411yescharacteristic
387C23×D61C2411yescharacteristic
388C2×Q8×C61—41no—
389C2×Q8×C61—41no—
390C2×Q8×C61C22×C414yes—
391C2×D4×C61—41no—
392C2×D4×C61—41no—
393C2×D4×C61C22×C414yes—
394C22×C4×C61—41no—
395C22×C4×C61—41no—
396C22×C4×C61—41no—
397C22×C4×C61—41no—
398C22×C4×C61—41no—
399C22×C4×C61—41no—
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C22×C4×C61C2411yescharacteristic
405C22×C4×C61C2411yescharacteristic
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C2×C22⋊D61—22no—
414C2×C22⋊D61—22no—
415C2×C22⋊D61—41no—
416C2×C22⋊D61—41no—
417C2×C22⋊D61—41no—
418C2×C22⋊D61—41no—
419C2×C22⋊D61—41no—
420C2×C22⋊D61—41no—
421C2×C22⋊D61C22×C414yes—
422C2×C22⋊D61C22×C414yes—
423C2×C22⋊D61C22×C414yes—
424C2×C22⋊D61C22×C414yes—
425C22×Dic61—22no—
426C22×Dic61—41no—
427C22×Dic61—41no—
428C22×Dic61—41no—
429C22×Dic61—41no—
430C22×Dic61—41no—
431C22×Dic61—41no—
432C22×Dic61—41no—
433C22×Dic61C22×C414yes—
434C22×Dic61C2411yescharacteristic
435C22×Dic61C2411yescharacteristic
436C22×Dic61C2411yescharacteristic
437C22×Dic61C2411yescharacteristic
438C22×Dic61C2411yescharacteristic
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C22×Dic61C2411yescharacteristic
446C22×Dic61C2411yescharacteristic
447C2×D244—22no—
448C2×D244—22no—
449C2×D244—41no—
450C2×D244—41no—
451C2×D244C22×C414yes—
452C2×D244C22×C414yes—
453C2×C4×D61—22no—
454C2×C4×D61—22no—
455C2×C4×D61—22no—
456C2×C4×D61—22no—
457C2×C4×D61—22no—
458C2×C4×D61—22no—
459C2×C4×D61—22no—
460C2×C4×D61—41no—
461C2×C4×D61—41no—
462C2×C4×D61—41no—
463C2×C4×D61—41no—
464C2×C4×D61—41no—
465C2×C4×D61—41no—
466C2×C4×D61—41no—
467C2×C4×D61—41no—
468C2×C4×D61—41no—
469C2×C4×D61—41no—
470C2×C4×D61—41no—
471C2×C4×D61—41no—
472C2×C4×D61—41no—
473C2×C4×D61—41no—
474C2×C4×D61—41no—
475C2×C4×D61—41no—
476C2×C4×D61—41no—
477C2×C4×D61—41no—
478C2×C4×D61—41no—
479C2×C4×D61—41no—
480C2×C4×D61—41no—
481C2×C4×D61—41no—
482C2×C4×D61—41no—
483C2×C4×D61C22×C414yes—
484C2×C4×D61C22×C414yes—
485C2×C4×D61C22×C414yes—
486C4⋊C4×C61—41no—
487C4⋊C4×C61—41no—
488C4⋊C4×C61—41no—
489C4⋊C4×C61—41no—
490C4⋊C4×C61—41no—
491C4⋊C4×C61—41no—
492C22⋊C4×C61—41no—
493C22⋊C4×C61—41no—
494C22⋊C4×C61—41no—
495C22⋊C4×C61—41no—
496C22⋊C4×C61—41no—
497C22⋊C4×C61—41no—
498C22⋊C4×C61C22×C414yes—
499C22⋊C4×C61C22×C414yes—
500C22⋊C4×C61C22×C414yes—
501C22⋊C4×C61C22×C414yes—
502C42×C61—41no—
503C42×C61—41no—
504C42×C61C22×C414yes—
505C22⋊Dic61—22no—
506C22⋊Dic61—22no—
507C22⋊Dic61—22no—
508C22⋊Dic61—41no—
509C22⋊Dic61—41no—
510C22⋊Dic61—41no—
511C22⋊Dic61C22×C414yes—
512C22⋊Dic61C22×C414yes—
513#11758198—22no—
514#11758198—22no—
515#11758198—22no—
516#11758198—22no—
517#11758198—22no—
518#11758198—22no—
519#11758198—22no—
520#11758198—41no—
521#11758198—41no—
522#11758198—41no—
523#11758198—41no—
524#11758198—41no—
525#11758198—41no—
526#11758198—41no—
527#11758198—41no—
528#11758198—41no—
529#11758198C22×C414yes—
530#11758198C22×C414yes—
531#11758198C22×C414yes—
532#11758198C22×C414yes—
533#11758198C22×C414yes—
534#11758198C22×C414yes—
535#11758198C22×C414yes—
536#11758198C22×C414yes—
537C4⋊Dic61—22no—
538C4⋊Dic61—22no—
539C4⋊Dic61—22no—
540C4⋊Dic61—41no—
541C4⋊Dic61—41no—
542C4⋊Dic61—41no—
543C4⋊Dic61C22×C414yes—
544C4⋊Dic61C22×C414yes—
545#11758196—22no—
546#11758196—41no—
547#11758196—41no—
548#11758196—41no—
549#11758196—41no—
550#11758196—41no—
551#11758196—41no—
552#11758196—41no—
553#11758196—41no—
554#11758196—41no—
555#11758196—41no—
556#11758196—41no—
557#11758196C22×C414yes—
558#11758196C22×C414yes—
559#11758196C22×C414yes—
560#11758196C22×C414yes—
561C4×Dic61—22no—
562C4×Dic61—22no—
563C4×Dic61—22no—
564C4×Dic61—22no—
565C4×Dic61—41no—
566C4×Dic61—41no—
567C4×Dic61—41no—
568C4×Dic61—41no—
569C4×Dic61—41no—
570C4×Dic61—41no—
571C4×Dic61—41no—
572C4×Dic61—41no—
573C4×Dic61—41no—
574C4×Dic61—41no—
575C4×Dic61C22×C414yes—
576C23×C61—21no—
577C23×C61—21no—
578C23×C61—21no—
579C23×C61—21no—
580C23×C61—21no—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61C23×C412yes—
589C23×C61C23×C412yes—
590C23×C61C2511yescharacteristic
591C22×D61—21no—
592C22×D61—21no—
593C22×D61—21no—
594C22×D61—21no—
595C22×D61—21no—
596C22×D61—21no—
597C22×D61—21no—
598C22×D61—21no—
599C22×D61—21no—
600C22×D61—21no—
601C22×D61—21no—
602C22×D61—21no—
603C22×D61—21no—
604C22×D61—21no—
605C22×D61—21no—
606C22×D61—21no—
607C22×D61—28no—
608C22×D61—44no—
609C22×D61—44no—
610C22×D61—82no—
611C22×D61—82no—
612C22×D61—82no—
613C22×D61—82no—
614C22×D61C23×C412yes—
615C22×D61C23×C412yes—
616C22×D61C23×C412yes—
617C22×D61H(5,𝔽2)12yes—
618C22×D612−1+412yes—
619Q8×C61—44no—
620D4×C61—44no—
621C2×C4×C61—21no—
622C2×C4×C61—21no—
623C2×C4×C61—21no—
624C2×C4×C61—21no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—82no—
656C2×C4×C61—82no—
657C2×C4×C61C23×C412yes—
658C2×C4×C61C23×C412yes—
659C2×C4×C61C23×C412yes—
660C2×C4×C61C23×C412yes—
661C2×C4×C61C23×C412yes—
662C22⋊D61—28no—
663C22⋊D61—44no—
664C22⋊D61—44no—
665C22⋊D61—44no—
666C2×Dic61—21no—
667C2×Dic61—21no—
668C2×Dic61—21no—
669C2×Dic61—21no—
670C2×Dic61—21no—
671C2×Dic61—21no—
672C2×Dic61—21no—
673C2×Dic61—21no—
674C2×Dic61—21no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—44no—
699C2×Dic61—82no—
700C2×Dic61—82no—
701C2×Dic61C23×C412yes—
702C2×Dic61C23×C412yes—
703C2×Dic61C23×C412yes—
704C2×Dic61C23×C412yes—
705C2×Dic61C23×C412yes—
706C2×Dic61H(5,𝔽2)12yes—
707C2×Dic61H(5,𝔽2)12yes—
708D244—28no—
709D244—44no—
710C4×D61—44no—
711C4×D61—44no—
712C4×D61—44no—
713C4×D61—44no—
714C4×D61—44no—
715C4×D61—82no—
716C4×D61—82no—
717C4×D61—82no—
718C4×D61—82no—
719C4×D61—82no—
720C4×D61—82no—
721#34424—611nomaximal, Sylow
722C22×C61—22no—
723C22×C61—22no—
724C22×C61—22no—
725C22×C61—22no—
726C22×C61—22no—
727C22×C61—22no—
728C22×C61—41no—
729C22×C61—41no—
730C22×C61—41no—
731C22×C61—41no—
732C22×C61—41no—
733C22×C61—41no—
734C22×C61—41no—
735C22×C61—41no—
736C22×C61C24×C411yescharacteristic
737C22×C61C2×H(5,𝔽2)11yescharacteristic
738C22×C61C2×H(5,𝔽2)11yescharacteristic
739C22×C61C2×H(5,𝔽2)11yescharacteristic
740C22×C61C2×2−1+411yescharacteristic
741C22×C61#58511yescharacteristic
742C22×C61#58511yescharacteristic
743C2×D61—22no—
744C2×D61—22no—
745C2×D61—22no—
746C2×D61—22no—
747C2×D61—22no—
748C2×D61—22no—
749C2×D61—22no—
750C2×D61—22no—
751C2×D61—22no—
752C2×D61—22no—
753C2×D61—22no—
754C2×D61—22no—
755C2×D61—41no—
756C2×D61—41no—
757C2×D61—41no—
758C2×D61—41no—
759C2×D61—41no—
760C2×D61—41no—
761C2×D61—41no—
762C2×D61—41no—
763C2×D61—88no—
764C2×D61#52014yes—
765C4×C61—22no—
766C4×C61—22no—
767C4×C61—22no—
768C4×C61—22no—
769C4×C61—22no—
770C4×C61—41no—
771C4×C61—41no—
772C4×C61—41no—
773C4×C61—41no—
774C4×C61—41no—
775C4×C61—41no—
776C4×C61—41no—
777C4×C61—41no—
778Dic61—22no—
779Dic61—22no—
780Dic61—22no—
781Dic61—22no—
782Dic61—22no—
783Dic61—22no—
784Dic61—22no—
785Dic61—41no—
786Dic61—41no—
787Dic61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791C2×#538—611no—
792#2379—611no—
793#2379D6111yescharacteristic, complemented
794#2376—611no—
795#2376—611no—
796#2367—611no—
797#2367—611no—
798#2359—611no—
799#2359—611no—
800#2358—611no—
801#2358—611no—
802#2358—611no—
803#2358—611no—
804#2352—611no—
805#2352—611no—
806#2349—611no—
807#2349—611no—
808#2334—611no—
809#2334—611no—
810#2334—611no—
811#2334—611no—
812#2329—611no—
813#2325—611no—
814#2325—611no—
815#2325—611no—
816#2324—611no—
817#2324—611no—
818#2315—611no—
819C4×C22⋊Q8—611no—
820C4×#121—611no—
821C2×#388—611no—
822C2×C61—42no—
823C2×C61—42no—
824C2×C61C2×#52011yescharacteristic
825C2×C61C4×H(5,𝔽2)11yescharacteristic
826C2×C61C4×H(5,𝔽2)11yescharacteristic
827C2×C61#353411yescharacteristic
828C2×C61#353611yescharacteristic
829C2×C61#355811yescharacteristic
830C2×C61#356411yescharacteristic
831D61—24no—
832D61—42no—
833D61—42no—
834#538—6116no—
835C2×#126—611no—
836C2×#126—611no—
837C2×#124—611no—
838C2×#124C2×D6111yescharacteristic
839C2×#123—611no—
840C2×#123—611no—
841C2×C22⋊Q8—611no—
842C2×#121—611no—
843C2×#121—611no—
844C2×#121—611no—
845C2×#120—611no—
846C2×#120—611no—
847C2×C4×Q8—611no—
848C2×C4×D4—611no—
849C2×C4×D4—611no—
850C2×C4×D4—611no—
851C2×C4×D4—611no—
852C2×C4×D4—611no—
853C2×C4×D4—611no—
854C2×C4×D4—611no—
855C2×C4×D4—611no—
856C2×C4×D4—611no—
857C2×C4×D4—611no—
858C2×C4×D4—611no—
859C2×#117—611no—
860C2×#117—611no—
861C22×C4⋊C4—611no—
862C22×C22⋊C4—611no—
863C22×C22⋊C4—611no—
864C22×C22⋊C4—611no—
865C22×C22⋊C4—611no—
866C22×C22⋊C4—611no—
867C22×C42—611no—
868#391—611no—
869#391C2×D6111yescharacteristic, complemented
870#391C2×D6111yescharacteristic, complemented
871#390—611no—
872#390—611no—
873#390—611no—
874#390—611no—
875#390—611no—
876#389—611no—
877#389—611no—
878#389—611no—
879#389—611no—
880#389—611no—
881#389—611no—
882#389—611no—
883#389—611no—
884#388—611no—
885#388—611no—
886#388—611no—
887#388—611no—
888#388—611no—
889#388—611no—
890#388—611no—
891#388—611no—
892#388—611no—
893#388—611no—
894#388—611no—
895#388—611no—
896#388—611no—
897#388—611no—
898#388—611no—
899#388—611no—
900#388—611no—
901#388—611no—
902#388—611no—
903#388—611no—
904#388C2×D6111yescharacteristic
905#388C2×D6111yescharacteristic
906#388C2×D6111yescharacteristic, complemented
907#388C2×D6111yescharacteristic, complemented
908#387—611no—
909#387—611no—
910#387—611no—
911#387—611no—
912#387—611no—
913#387—611no—
914#387—611no—
915#387—611no—
916#387—611no—
917#387—611no—
918#387—611no—
919#387—611no—
920#386—611no—
921#386—611no—
922#386—611no—
923#386—611no—
924#386—611no—
925#386—611no—
926#386—611no—
927#386—611no—
928#386—611no—
929#386—611no—
930#386—611no—
931#386—611no—
932#386C2×D6111yescharacteristic
933#386C2×D6111yescharacteristic
934#385—611no—
935#385—611no—
936#385—611no—
937#385—611no—
938#385—611no—
939#385—611no—
940#385—611no—
941#385—611no—
942#385—611no—
943#385—611no—
944#385—611no—
945#385—611no—
946#385—611no—
947#385—611no—
948#385—611no—
949#385—611no—
950#385—611no—
951#385—611no—
952#385C2×D6111yescharacteristic
953#385C2×D6111yescharacteristic
954#385C2×D6111yescharacteristic, complemented
955#385C2×D6111yescharacteristic, complemented
956#382—611no—
957#382—611no—
958#382C2×D6111yescharacteristic, complemented
959#382C2×D6111yescharacteristic, complemented
960#380—611no—
961#380—611no—
962#380—611no—
963#380—611no—
964#380—611no—
965#380—611no—
966#380—611no—
967#380—611no—
968C4×C4⋊C4—611no—
969C4×C4⋊C4—611no—
970C4×C4⋊C4—611no—
971C4×C4⋊C4—611no—
972C4×C4⋊C4—611no—
973C4×C4⋊C4—611no—
974C4×C4⋊C4—611no—
975C4×C4⋊C4—611no—
976C4×C22⋊C4—611no—
977C4×C22⋊C4—611no—
978C4×C22⋊C4—611no—
979C4×C22⋊C4—611no—
980C4×C22⋊C4—611no—
981C4×C22⋊C4—611no—
982C4×C22⋊C4—611no—
983C4×C22⋊C4—611no—
984C4×C22⋊C4—611no—
985C4×C22⋊C4—611no—
986C2×#95—611no—
987C2×#95—611no—
988C2×#95—611no—
989C2×#95—611no—
990C61#3442411yescharacteristic, complemented, Sylow
991C25—611no—
992C22×Q8C22×D6111yescharacteristic
993C22×D4—611no—
994C22×D4—611no—
995C22×D4—611no—
996C22×D4—611no—
997C22×D4—611no—
998C22×D4—611no—
999C22×D4C22×D6111yescharacteristic
1000C23×C4—611no—
1001C23×C4—611no—
1002C23×C4—611no—
1003C23×C4—611no—
1004C23×C4—611no—
1005C23×C4—611no—
1006C23×C4—611no—
1007C23×C4—611no—
1008C23×C4—611no—
1009C23×C4—611no—
1010C23×C4—611no—
1011C23×C4—611no—
1012C23×C4—611no—
1013C23×C4—611no—
1014C23×C4C22×D6111yescharacteristic
1015C23×C4C22×D6111yescharacteristic
1016#126—618no—
1017#126—618no—
1018#124—618no—
1019#124C4×D6118yescomplemented
1020#123—618no—
1021#123—618no—
1022C22⋊Q8—618no—
1023#121—618no—
1024#121—618no—
1025#121—618no—
1026#120—618no—
1027#120—618no—
1028C4×Q8—2442no—
1029C4×D4—618no—
1030C4×D4—618no—
1031C4×D4—2442no—
1032C4×D4—2442no—
1033C4×D4—2442no—
1034C4×D4—2442no—
1035C4×D4—2442no—
1036C4×D4—2442no—
1037C4×D4—2442no—
1038C4×D4—2442no—
1039C4×D4—2442no—
1040#117—2442no—
1041#117—2442no—
1042C2×C4⋊C4—611no—
1043C2×C4⋊C4—611no—
1044C2×C4⋊C4—611no—
1045C2×C4⋊C4—611no—
1046C2×C4⋊C4—611no—
1047C2×C4⋊C4—611no—
1048C2×C4⋊C4—611no—
1049C2×C4⋊C4—611no—
1050C2×C4⋊C4—611no—
1051C2×C4⋊C4—611no—
1052C2×C4⋊C4—611no—
1053C2×C4⋊C4—611no—
1054C2×C4⋊C4—611no—
1055C2×C4⋊C4—611no—
1056C2×C4⋊C4—611no—
1057C2×C4⋊C4—611no—
1058C2×C4⋊C4—611no—
1059C2×C4⋊C4—611no—
1060C2×C4⋊C4—611no—
1061C2×C4⋊C4—611no—
1062C2×C4⋊C4—611no—
1063C2×C4⋊C4—611no—
1064C2×C4⋊C4—611no—
1065C2×C4⋊C4—611no—
1066C2×C4⋊C4—2442no—
1067C2×C4⋊C4C22×D6111yescharacteristic
1068C2×C4⋊C4C22×D6111yescharacteristic
1069C2×C4⋊C4C22×D6111yescharacteristic
1070C2×C4⋊C4C22×D6111yescharacteristic
1071C2×C4⋊C4C22×D6111yescharacteristic
1072C2×C4⋊C4C22×D6111yescharacteristic
1073C2×C22⋊C4—611no—
1074C2×C22⋊C4—611no—
1075C2×C22⋊C4—611no—
1076C2×C22⋊C4—611no—
1077C2×C22⋊C4—611no—
1078C2×C22⋊C4—611no—
1079C2×C22⋊C4—611no—
1080C2×C22⋊C4—611no—
1081C2×C22⋊C4—611no—
1082C2×C22⋊C4—611no—
1083C2×C22⋊C4—618no—
1084C2×C22⋊C4—611no—
1085C2×C22⋊C4—611no—
1086C2×C22⋊C4—611no—
1087C2×C22⋊C4—611no—
1088C2×C22⋊C4—611no—
1089C2×C22⋊C4—611no—
1090C2×C22⋊C4—611no—
1091C2×C22⋊C4—611no—
1092C2×C22⋊C4—611no—
1093C2×C22⋊C4—611no—
1094C2×C22⋊C4—611no—
1095C2×C22⋊C4—611no—
1096C2×C22⋊C4—611no—
1097C2×C22⋊C4—611no—
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—611no—
1100C2×C22⋊C4—611no—
1101C2×C22⋊C4—611no—
1102C2×C22⋊C4—611no—
1103C2×C22⋊C4—611no—
1104C2×C22⋊C4—611no—
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—2442no—
1107C2×C22⋊C4—2442no—
1108C2×C22⋊C4—2442no—
1109C2×C22⋊C4—2442no—
1110C2×C22⋊C4C22×D6111yescharacteristic
1111C2×C22⋊C4C22×D6111yescharacteristic
1112C2×C22⋊C4C22×D6111yescharacteristic
1113C2×C22⋊C4C22×D6111yescharacteristic
1114C2×C22⋊C4C22×D6111yescharacteristic
1115C2×C22⋊C4C22×D6111yescharacteristic
1116C2×C22⋊C4C22×D6111yescharacteristic
1117C2×C22⋊C4C22×D6111yescharacteristic
1118C2×C22⋊C4C22×D6111yescharacteristic
1119C2×C22⋊C4C22×D6111yescharacteristic
1120C2×C42—611no—
1121C2×C42—611no—
1122C2×C42—611no—
1123C2×C42—611no—
1124C2×C42—611no—
1125C2×C42—611no—
1126C2×C42—611no—
1127C2×C42—611no—
1128C2×C42—611no—
1129C2×C42—611no—
1130C2×C42—611no—
1131C2×C42—611no—
1132C2×C42—611no—
1133C2×C42—611no—
1134C2×C42—611no—
1135C2×C42—2442no—
1136C2×C42C22×D6111yescharacteristic
1137C2×C42C22×D6111yescharacteristic
1138C2×C42C22×D6111yescharacteristic
1139#95—611no—
1140#95—611no—
1141#95—611no—
1142#95—611no—
1143#95—611no—
1144#95—611no—
1145#95—611no—
1146#95—611no—
1147#95—611no—
1148#95—611no—
1149#95—611no—
1150#95—611no—
1151#95—611no—
1152#95—611no—
1153#95—611no—
1154#95—611no—
1155#95—611no—
1156#95—611no—
1157#95—611no—
1158#95—611no—
1159#95—611no—
1160#95—611no—
1161#95—611no—
1162#95—611no—
1163#95—611no—
1164#95—611no—
1165#95—611no—
1166#95—611no—
1167#95C22×D6111yescharacteristic
1168#95C22×D6111yescharacteristic
1169#95C22×D6111yescharacteristic
1170#95C22×D6111yescharacteristic
1171#95C22×D6111yescharacteristic
1172#95C22×D6111yescharacteristic
1173#95C22×D6111yescharacteristic
1174#95C22×D6111yescharacteristic
1175#95C22×D6111yescharacteristic
1176#95C22×D6111yescharacteristic
1177#95C22×D6111yescharacteristic
1178#95C22×D6111yescharacteristic
1179C24—611no—
1180C24—611no—
1181C24—611no—
1182C24—614no—
1183C24—1222no—
1184C24—1222no—
1185C24—2441no—
1186C24—2441no—
1187C24—2441no—
1188C24—2441no—
1189C24C23×D6111yescharacteristic
1190C24C23×D6111yescharacteristic
1191C2×Q8—41no—
1192C2×Q8—41no—
1193C2×Q8C2×C4×D6114yes—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—614no—
1197C2×D4—614no—
1198C2×D4—614no—
1199C2×D4—614no—
1200C2×D4—614no—
1201C2×D4—614no—
1202C2×D4—1222no—
1203C2×D4—1222no—
1204C2×D4—1222no—
1205C2×D4—1222no—
1206C2×D4—2441no—
1207C2×D4—2441no—
1208C2×D4—2441no—
1209C2×D4—2441no—
1210C2×D4—2441no—
1211C2×D4—2441no—
1212C2×D4—2441no—
1213C2×D4—2441no—
1214C2×D4C2×C4×D6114yes—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—611no—
1222C22×C4—611no—
1223C22×C4—611no—
1224C22×C4—611no—
1225C22×C4—611no—
1226C22×C4—611no—
1227C22×C4—611no—
1228C22×C4—614no—
1229C22×C4—614no—
1230C22×C4—614no—
1231C22×C4—614no—
1232C22×C4—611no—
1233C22×C4—611no—
1234C22×C4—611no—
1235C22×C4—611no—
1236C22×C4—611no—
1237C22×C4—611no—
1238C22×C4—1222no—
1239C22×C4—1222no—
1240C22×C4—1222no—
1241C22×C4—1222no—
1242C22×C4—1222no—
1243C22×C4—1222no—
1244C22×C4—1222no—
1245C22×C4—1222no—
1246C22×C4—2441no—
1247C22×C4—2441no—
1248C22×C4—2441no—
1249C22×C4—2441no—
1250C22×C4—2441no—
1251C22×C4—2441no—
1252C22×C4—2441no—
1253C22×C4—2441no—
1254C22×C4—2441no—
1255C22×C4—2441no—
1256C22×C4—2441no—
1257C22×C4—2441no—
1258C22×C4—2441no—
1259C22×C4—2441no—
1260C22×C4—2441no—
1261C22×C4—2441no—
1262C22×C4—2441no—
1263C22×C4—2441no—
1264C22×C4—2441no—
1265C22×C4—2441no—
1266C22×C4—2441no—
1267C22×C4—2441no—
1268C22×C4—2441no—
1269C22×C4—2441no—
1270C22×C4—2441no—
1271C22×C4—2441no—
1272C22×C4—2441no—
1273C22×C4—2441no—
1274C22×C4—2441no—
1275C22×C4—2441no—
1276C22×C4C23×D6111yescharacteristic
1277C22×C4C23×D6111yescharacteristic
1278C22×C4C23×D6111yescharacteristic
1279C22×C4C23×D6111yescharacteristic
1280C22×C4C23×D6111yescharacteristic
1281C22×C4C23×D6111yescharacteristic
1282C22×C4C23×D6111yescharacteristic
1283C22×C4C23×D6111yescharacteristic
1284C22×C4C23×D6111yescharacteristic
1285C22×C4C23×D6111yescharacteristic
1286C22×C4C23×D6111yescharacteristic
1287C22×C4C23×D6111yescharacteristic
1288C22×C4C23×D6111yescharacteristic
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—614no—
1296C4⋊C4—614no—
1297C4⋊C4—614no—
1298C4⋊C4—614no—
1299C4⋊C4—614no—
1300C4⋊C4—614no—
1301C4⋊C4—1222no—
1302C4⋊C4—1222no—
1303C4⋊C4—1222no—
1304C4⋊C4—1222no—
1305C4⋊C4—2441no—
1306C4⋊C4—2441no—
1307C4⋊C4—2441no—
1308C4⋊C4—2441no—
1309C4⋊C4—2441no—
1310C4⋊C4—2441no—
1311C4⋊C4—2441no—
1312C4⋊C4—2441no—
1313C4⋊C4—2441no—
1314C4⋊C4—2441no—
1315C4⋊C4—2441no—
1316C4⋊C4—2441no—
1317C4⋊C4—2441no—
1318C4⋊C4—2441no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—614no—
1326C22⋊C4—614no—
1327C22⋊C4—614no—
1328C22⋊C4—614no—
1329C22⋊C4—614no—
1330C22⋊C4—614no—
1331C22⋊C4—614no—
1332C22⋊C4—614no—
1333C22⋊C4—614no—
1334C22⋊C4—614no—
1335C22⋊C4—1222no—
1336C22⋊C4—1222no—
1337C22⋊C4—1222no—
1338C22⋊C4—1222no—
1339C22⋊C4—1222no—
1340C22⋊C4—1222no—
1341C22⋊C4—1222no—
1342C22⋊C4—1222no—
1343C22⋊C4—1222no—
1344C22⋊C4—1222no—
1345C22⋊C4—2441no—
1346C22⋊C4—2441no—
1347C22⋊C4—2441no—
1348C22⋊C4—2441no—
1349C22⋊C4—2441no—
1350C22⋊C4—2441no—
1351C22⋊C4—2441no—
1352C22⋊C4—2441no—
1353C22⋊C4—2441no—
1354C22⋊C4—2441no—
1355C22⋊C4—2441no—
1356C22⋊C4—2441no—
1357C22⋊C4C2×C4×D6114yes—
1358C22⋊C4C2×C4×D6114yes—
1359C22⋊C4C2×C4×D6114yes—
1360C22⋊C4C2×C4×D6114yes—
1361C42—41no—
1362C42—41no—
1363C42—614no—
1364C42—1222no—
1365C42—1222no—
1366C42—1222no—
1367C42—1222no—
1368C42—2441no—
1369C42—2441no—
1370C42—2441no—
1371C42—2441no—
1372C42—2441no—
1373C42—2441no—
1374C42—2441no—
1375C42—2441no—
1376C42—2441no—
1377C42—2441no—
1378C42C2×C4×D6114yes—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—612no—
1392C23—612no—
1393C23—612no—
1394C23—612no—
1395C23—612no—
1396C23—1228no—
1397C23—1221no—
1398C23—1221no—
1399C23—1221no—
1400C23—1221no—
1401C23—1221no—
1402C23—1221no—
1403C23—1221no—
1404C23—1221no—
1405C23—1221no—
1406C23—1221no—
1407C23—1221no—
1408C23—1221no—
1409C23—1221no—
1410C23—1221no—
1411C23—1221no—
1412C23—1221no—
1413C23—4882no—
1414C23—4882no—
1415C23—4882no—
1416C23—4882no—
1417C23—2444no—
1418C23—2444no—
1419C23C22×C4×D6112yes—
1420C23C22×C4×D6112yes—
1421C23C24×D6111yescharacteristic
1422Q8—44no—
1423D4—44no—
1424D4—1228no—
1425D4—1228no—
1426D4—2444no—
1427D4—2444no—
1428D4—2444no—
1429D4—2444no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—612no—
1467C2×C4—612no—
1468C2×C4—612no—
1469C2×C4—612no—
1470C2×C4—612no—
1471C2×C4—612no—
1472C2×C4—612no—
1473C2×C4—1221no—
1474C2×C4—1221no—
1475C2×C4—1221no—
1476C2×C4—1221no—
1477C2×C4—1221no—
1478C2×C4—1221no—
1479C2×C4—1221no—
1480C2×C4—1221no—
1481C2×C4—1221no—
1482C2×C4—1221no—
1483C2×C4—1221no—
1484C2×C4—1221no—
1485C2×C4—1221no—
1486C2×C4—1221no—
1487C2×C4—1221no—
1488C2×C4—1221no—
1489C2×C4—1221no—
1490C2×C4—1221no—
1491C2×C4—1221no—
1492C2×C4—1221no—
1493C2×C4—1221no—
1494C2×C4—1221no—
1495C2×C4—1221no—
1496C2×C4—1221no—
1497C2×C4—1221no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—1221no—
1504C2×C4—1221no—
1505C2×C4—4882no—
1506C2×C4—4882no—
1507C2×C4—4882no—
1508C2×C4—4882no—
1509C2×C4—4882no—
1510C2×C4—4882no—
1511C2×C4—4882no—
1512C2×C4—4882no—
1513C2×C4—2444no—
1514C2×C4—2444no—
1515C2×C4—2444no—
1516C2×C4—2444no—
1517C2×C4—2444no—
1518C2×C4—2444no—
1519C2×C4C22×C4×D6112yes—
1520C2×C4C22×C4×D6112yes—
1521C2×C4C22×C4×D6112yes—
1522C2×C4C22×C4×D6112yes—
1523C2×C4C22×C4×D6112yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—614no—
1539C22—1222no—
1540C22—1222no—
1541C22—1222no—
1542C22—1222no—
1543C22—1222no—
1544C22—1222no—
1545C22—1222no—
1546C22—1222no—
1547C22—1222no—
1548C22—1222no—
1549C22—1222no—
1550C22—1222no—
1551C22—4888no—
1552C22—2441no—
1553C22—2441no—
1554C22—2441no—
1555C22—2441no—
1556C22—2441no—
1557C22—2441no—
1558C22—2441no—
1559C22—2441no—
1560C22C23×C4×D6111yescharacteristic
1561C22H(5,𝔽2)×D6111yescharacteristic
1562C22H(5,𝔽2)×D6111yescharacteristic
1563C22H(5,𝔽2)×D6111yescharacteristic
1564C222−1+4×D6111yescharacteristic
1565C22#1684059711yescharacteristic
1566C22#1684059911yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—1222no—
1581C4—1222no—
1582C4—1222no—
1583C4—1222no—
1584C4—1222no—
1585C4—1222no—
1586C4—1222no—
1587C4—2441no—
1588C4—2441no—
1589C4—2441no—
1590C4—2441no—
1591C4—2441no—
1592C4—2441no—
1593C2—42no—
1594C2—42no—
1595C2—1224no—
1596C2—2442no—
1597C2—2442no—
1598C2#520×D6111yescharacteristic
1599C2#2145902311yescharacteristic
1600C2#2145902511yescharacteristic
1601C2#2146001111yescharacteristic
1602C2#2146003811yescharacteristic
1603C2#2146033211yescharacteristic
1604C2#2146043411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2379C2
socle, cosocleC23×C61C25
prime radicalC2×#16840346C2
hypercenter#2379D61
hypocenterC61#34424
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2379

Complements

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

NH ≅ G/Ntype
2. #21448991C2semidirect
3. #21448965C2semidirect
4. #21448961C2semidirect
5. #21448895C2semidirect
6. #21448894C2semidirect
7. #21448814C2semidirect
8. #21448809C2semidirect
9. #21448802C2semidirect
10. #21448799C2semidirect
11. #21448797C2semidirect
12. #21448795C2semidirect
13. #21448747C2semidirect
14. #21448745C2semidirect
15. #21448727C2semidirect
16. #21448725C2semidirect
17. #21448595C2semidirect
18. #21448592C2semidirect
19. #21448590C2semidirect
20. #21448590C2semidirect
21. #21448551C2semidirect
22. #21448523C2semidirect
23. #21448520C2semidirect
24. #21448516C2semidirect
25. #21448511C2semidirect
26. #21448509C2semidirect
27. #21448430C2semidirect
28. #21448357C2semidirect
29. #21448331C2semidirect
30. #388×D61C2semidirect
31. C61×#2379C2semidirect
32. #16840346C4semidirect
44. C2×Q8×Dic61C22semidirect
55. C2×#14519737C22semidirect
56. C2×#14519735C22semidirect
57. C2×#14519733C22semidirect
65. #16839669C22semidirect
70. #16839662C22semidirect
71. #16839660C22semidirect
72. #16839659C22semidirect
73. #16839659C22semidirect
74. #16839658C22semidirect
75. #16839658C22semidirect
76. #16839657C22semidirect
77. #16839657C22semidirect
78. #16839657C22semidirect
84. #16839655C22semidirect
85. #16839655C22semidirect
88. #16839654C22semidirect
90. #16839653C22semidirect
96. #16839651C22semidirect
97. #16839651C22semidirect
99. #16839649C22semidirect
100. #16839649C22semidirect
101. #16839649C22semidirect
102. #16839647C22semidirect
103. #16839646C22semidirect
104. #16839645C22semidirect
105. #16839645C22semidirect
106. #16839645C22semidirect
107. #16839644C22semidirect
108. #16839644C22semidirect
109. #16839643C22semidirect
110. #16839643C22semidirect
111. #16839641C22semidirect
122. #16839638C22semidirect
124. #16839637C22semidirect
131. #16839636C22semidirect
132. #16839636C22semidirect
140. #16839633C22semidirect
141. #16839626C22semidirect
142. #16839626C22semidirect
145. #16839621C22semidirect
146. #16839620C22semidirect
147. #16839620C22semidirect
150. #16839619C22semidirect
151. C4⋊C4×Dic61C22semidirect
152. C4⋊C4×Dic61C22semidirect
153. C4×#11758196C22semidirect
154. C4×C4⋊Dic61C22semidirect
155. C4×C4⋊Dic61C22semidirect
156. #16839613C22semidirect
157. #16839613C22semidirect
158. #16839613C22semidirect
160. C22⋊C4×Dic61C22semidirect
168. #16839609C22semidirect
169. C2×#14519684C22semidirect
172. #95×D61C22semidirect
174. C61×#391C22semidirect
175. C61×#391C22semidirect
178. C61×#388C22semidirect
179. C61×#388C22semidirect
184. C61×#385C22semidirect
185. C61×#385C22semidirect
186. C61×#382C22semidirect
187. C61×#382C22semidirect
209. #14519771C2×C4semidirect
210. #14519770C2×C4semidirect
211. #14519766C2×C4semidirect
212. #14519761C2×C4semidirect
213. #14519759C2×C4semidirect
214. #14519753C2×C4semidirect
215. #14519750C2×C4semidirect
216. #14519750C2×C4semidirect
217. #14519749C2×C4semidirect
218. #14519747C2×C4semidirect
219. #14519745C2×C4semidirect
222. C4×D244C2×C4semidirect
231. #14519737C2×C4semidirect
295. C22⋊C4×D61C2×C4semidirect
344. #124×C61C2×C4semidirect
793. #2379D61semidirect
869. #391C2×D61semidirect
870. #391C2×D61semidirect
906. #388C2×D61semidirect
907. #388C2×D61semidirect
954. #385C2×D61semidirect
955. #385C2×D61semidirect
958. #382C2×D61semidirect
959. #382C2×D61semidirect
990. C61#34424semidirect
1019. #124C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403462
#214489912
#214489652
#214489612
#214488952
#214488942
#214488142
#214488092
#214488022
#214487992
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