Finite Group Databasebeta

← #29843074

Subgroups — #29843074

Order 15616.

2614 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840268C211yesmaximal, characteristic
2#21448986C211yesmaximal, characteristic, complemented
3#21448979C211yesmaximal, characteristic, complemented
4#21448977C211yesmaximal, characteristic, complemented
5#21448970C211yesmaximal, characteristic, complemented
6#21448803C211yesmaximal, characteristic, complemented
7#21448798C211yesmaximal, characteristic, complemented
8#21448798C211yesmaximal, characteristic, complemented
9#21448757C211yesmaximal, characteristic, complemented
10#21448753C211yesmaximal, characteristic, complemented
11#21448725C211yesmaximal, characteristic, complemented
12#21448724C211yesmaximal, characteristic, complemented
13#21448677C211yesmaximal, characteristic, complemented
14#21448673C211yesmaximal, characteristic, complemented
15#21448645C211yesmaximal, characteristic, complemented
16#21448644C211yesmaximal, characteristic, complemented
17#21448550C211yesmaximal, characteristic, complemented
18#21448547C211yesmaximal, characteristic, complemented
19#21448520C211yesmaximal, characteristic, complemented
20#21448517C211yesmaximal, characteristic, complemented
21#21448493C211yesmaximal, characteristic, complemented
22#21448490C211yesmaximal, characteristic, complemented
23#21448487C211yesmaximal, characteristic, complemented
24#21448484C211yesmaximal, characteristic, complemented
25#21448460C211yesmaximal, characteristic, complemented
26#21448456C211yesmaximal, characteristic, complemented
27#21448449C211yesmaximal, characteristic, complemented
28#21448445C211yesmaximal, characteristic, complemented
29C2×#16839623C211yesmaximal, characteristic, complemented
30C2×#16839620C211yesmaximal, characteristic, complemented
31C61×#2358C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C24×Dic61C2211yescharacteristic
34#16840268C4116yescomplemented
35C2×#14519761C2211yescharacteristic
36C2×#14519758C2211yescharacteristic
37C2×#14519754C2211yescharacteristic
38C2×#14519754C2211yescharacteristic
39C2×#14519749C2211yescharacteristic
40C2×#14519749C2211yescharacteristic
41C2×#14519746C2211yescharacteristic
42C2×D4×Dic61C2211yescharacteristic
43C2×D4×Dic61C2211yescharacteristic
44C2×D4×Dic61C2211yescharacteristic
45C2×D4×Dic61C2211yescharacteristic
46C2×C4×C22⋊D61C2211yescharacteristic
47C2×C4×C22⋊D61C2211yescharacteristic
48C2×#14519737C2211yescharacteristic
49C2×#14519737C2211yescharacteristic
50C2×#14519737C2211yescharacteristic
51C2×#14519737C2211yescharacteristic
52C2×#14519733C2211yescharacteristic
53C22×#11758196C2211yescharacteristic
54C22×#11758196C2211yescharacteristic
55C22×C22⋊Dic61C2211yescharacteristic
56C22×C22⋊Dic61C2211yescharacteristic
57#16839668C2211yescharacteristic, complemented
58#16839667C2211yescharacteristic, complemented
59#16839666C2211yescharacteristic, complemented
60#16839666C2211yescharacteristic, complemented
61#16839665C2211yescharacteristic
62#16839662C2211yescharacteristic
63#16839662C2211yescharacteristic
64#16839660C2211yescharacteristic, complemented
65#16839660C2211yescharacteristic, complemented
66#16839659C2211yescharacteristic, complemented
67#16839659C2211yescharacteristic, complemented
68#16839658C2211yescharacteristic, complemented
69#16839658C2211yescharacteristic, complemented
70#16839657C2211yescharacteristic, complemented
71#16839657C2211yescharacteristic, complemented
72#16839656C2211yescharacteristic
73#16839656C2211yescharacteristic
74#16839656C2211yescharacteristic, complemented
75#16839656C2211yescharacteristic, complemented
76#16839655C2211yescharacteristic
77#16839655C2211yescharacteristic
78#16839653C2211yescharacteristic, complemented
79#16839653C2211yescharacteristic, complemented
80#16839651C2211yescharacteristic, complemented
81#16839651C2211yescharacteristic, complemented
82#16839650C2211yescharacteristic
83#16839650C2211yescharacteristic
84#16839650C2211yescharacteristic, complemented
85#16839650C2211yescharacteristic, complemented
86#16839649C2211yescharacteristic, complemented
87#16839649C2211yescharacteristic, complemented
88#16839647C2211yescharacteristic, complemented
89#16839647C2211yescharacteristic, complemented
90#16839646C2211yescharacteristic, complemented
91#16839646C2211yescharacteristic, complemented
92#16839646C2211yescharacteristic, complemented
93#16839646C2211yescharacteristic, complemented
94#16839645C2211yescharacteristic, complemented
95#16839645C2211yescharacteristic, complemented
96#16839644C2211yescharacteristic, complemented
97#16839644C2211yescharacteristic, complemented
98#16839644C2211yescharacteristic, complemented
99#16839644C2211yescharacteristic, complemented
100#16839643C2211yescharacteristic, complemented
101#16839643C2211yescharacteristic, complemented
102#16839642C2211yescharacteristic
103#16839642C2211yescharacteristic
104#16839642C2211yescharacteristic
105#16839641C2211yescharacteristic
106#16839641C2211yescharacteristic
107#16839641C2211yescharacteristic, complemented
108#16839639C2211yescharacteristic
109#16839639C2211yescharacteristic
110#16839639C2211yescharacteristic, complemented
111#16839638C2211yescharacteristic
112#16839638C2211yescharacteristic
113#16839638C2211yescharacteristic, complemented
114#16839638C2211yescharacteristic, complemented
115#16839637C2211yescharacteristic
116#16839637C2211yescharacteristic
117#16839636C2211yescharacteristic, complemented
118#16839636C2211yescharacteristic, complemented
119#16839635C2211yescharacteristic
120#16839635C2211yescharacteristic
121#16839635C2211yescharacteristic, complemented
122#16839635C2211yescharacteristic, complemented
123#16839634C2211yescharacteristic
124#16839634C2211yescharacteristic
125#16839634C2211yescharacteristic, complemented
126#16839634C2211yescharacteristic, complemented
127#16839633C2211yescharacteristic, complemented
128#16839633C2211yescharacteristic, complemented
129#16839629C2211yescharacteristic, complemented
130#16839629C2211yescharacteristic, complemented
131#16839627C2211yescharacteristic, complemented
132#16839626C2211yescharacteristic, complemented
133#16839624C2211yescharacteristic, complemented
134#16839623C2211yescharacteristic
135#16839623C2211yescharacteristic
136#16839623C2211yescharacteristic
137#16839623C2211yescharacteristic
138#16839623C2211yescharacteristic
139#16839623C2211yescharacteristic
140#16839623C2211yescharacteristic
141#16839623C2211yescharacteristic
142#16839623C2211yescharacteristic, complemented
143#16839620C2211yescharacteristic
144#16839620C2211yescharacteristic
145#16839620C2211yescharacteristic
146#16839620C2211yescharacteristic
147#16839620C2211yescharacteristic
148#16839620C2211yescharacteristic
149#16839620C2211yescharacteristic
150#16839620C2211yescharacteristic
151#16839620C2211yescharacteristic, complemented
152#16839619C2211yescharacteristic, complemented
153C4⋊C4×Dic61C2211yescharacteristic, complemented
154C4×#11758196C2211yescharacteristic, complemented
155C22⋊C4×Dic61C2211yescharacteristic
156C22⋊C4×Dic61C2211yescharacteristic
157C22⋊C4×Dic61C2211yescharacteristic
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic, complemented
160C4×#11758198C2211yescharacteristic, complemented
161C4×C22⋊Dic61C2211yescharacteristic
162C4×C22⋊Dic61C2211yescharacteristic
163#16839608C2211yescharacteristic, complemented
164#16839607C2211yescharacteristic, complemented
165C2×#14519684C2211yescharacteristic
166C2×#14519684C2211yescharacteristic
167C2×#14519684C2211yescharacteristic
168C2×#14519684C2211yescharacteristic
169C2×#14519684C2211yescharacteristic
170C2×#14519684C2211yescharacteristic
171C2×#14519684C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173C2×#120×C61C2211yescharacteristic
174C2×C4×D4×C61C2211yescharacteristic
175C2×C4×D4×C61C2211yescharacteristic
176C22×C22⋊C4×C61C2211yescharacteristic
177C22×C22⋊C4×C61C2211yescharacteristic
178C61×#390C2211yescharacteristic
179C61×#388C2211yescharacteristic
180C61×#388C2211yescharacteristic
181C61×#386C2211yescharacteristic
182C61×#386C2211yescharacteristic
183C61×#386C2211yescharacteristic
184C61×#385C2211yescharacteristic
185C61×#385C2211yescharacteristic
186C4×C22⋊C4×C61C2211yescharacteristic
187C4×C22⋊C4×C61C2211yescharacteristic
188C2×#11758224—42no—
189C2×#11758224—42no—
190C2×#11758224C2×C418yescomplemented
191C22×Dic122C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C23×Dic61—42no—
197C23×Dic61—42no—
198C23×Dic61C2×C418yescomplemented
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214#14519761C2×C418yescomplemented
215#14519758C2×C418yescomplemented
216#14519754C2×C418yescomplemented
217#14519754C2×C418yescomplemented
218#14519749C2×C418yescomplemented
219#14519749C2×C418yescomplemented
220#14519746C2×C418yescomplemented
221D4×Dic61—42no—
222D4×Dic61—42no—
223D4×Dic61C2×C418yescomplemented
224D4×Dic61C2×C418yescomplemented
225C4×C22⋊D61—42no—
226C4×C22⋊D61—42no—
227#14519737—42no—
228#14519737—42no—
229#14519737C2×C418yescomplemented
230#14519737C2×C418yescomplemented
231#14519733C2×C418yescomplemented
232C2×C4⋊Dic61C2311yescharacteristic
233C2×C4⋊Dic61C2311yescharacteristic
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×#11758196—42no—
238C2×#11758196—42no—
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
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×C22⋊Dic61—42no—
258C2×C22⋊Dic61—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×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×C4×Dic61C2311yescharacteristic
284C2×C4×Dic61C2311yescharacteristic
285C2×C4×Dic61C2311yescharacteristic
286C2×C4×Dic61C2311yescharacteristic
287C2×C4×Dic61C2311yescharacteristic
288C2×C4×Dic61C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
291C2×C4×Dic61C2311yescharacteristic
292C2×C4×Dic61C2311yescharacteristic
293C2×C4×Dic61C2311yescharacteristic
294#14519684C2311yescharacteristic
295#14519684C2311yescharacteristic
296#14519684C2311yescharacteristic
297#14519684C2311yescharacteristic
298#14519684C2311yescharacteristic
299#14519684C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
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
336C25×C61C2311yescharacteristic
337C22×D4×C61C2311yescharacteristic
338C22×D4×C61C2311yescharacteristic
339C22×D4×C61C2311yescharacteristic
340C23×C4×C61C2311yescharacteristic
341C23×C4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344C23×C4×C61C2311yescharacteristic
345#120×C61C2×C418yescomplemented
346C4×D4×C61—42no—
347C4×D4×C61—42no—
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61—42no—
352C2×C22⋊C4×C61—42no—
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×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C42×C61C2311yescharacteristic
368C2×C42×C61C2311yescharacteristic
369C2×C42×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376C24×C61—22no—
377C24×C61—22no—
378C24×C61—22no—
379C24×C61—22no—
380C24×C61—41no—
381C24×C61—41no—
382C24×C61C22×C414yes—
383C24×C61C2411yescharacteristic
384C24×C61C2411yescharacteristic
385C24×C61C2411yescharacteristic
386C24×C61C2411yescharacteristic
387C23×D61C2411yescharacteristic
388C2×D4×C61—22no—
389C2×D4×C61—22no—
390C2×D4×C61—22no—
391C2×D4×C61—22no—
392C2×D4×C61—41no—
393C2×D4×C61—41no—
394C2×D4×C61C22×C414yes—
395C2×D4×C61C22×C414yes—
396C2×D4×C61C22×C414yes—
397C22×C4×C61—22no—
398C22×C4×C61—22no—
399C22×C4×C61—22no—
400C22×C4×C61—22no—
401C22×C4×C61—41no—
402C22×C4×C61—41no—
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×C61—41no—
411C22×C4×C61—41no—
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
423C2×C22⋊D61—22no—
424C2×C22⋊D61—22no—
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61—41no—
428C2×C22⋊D61—41no—
429C2×C22⋊D61—41no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61C22×C414yes—
432C2×C22⋊D61C22×C414yes—
433C2×C22⋊D61C22×C414yes—
434C2×C22⋊D61C22×C414yes—
435C22×Dic61—22no—
436C22×Dic61—22no—
437C22×Dic61—22no—
438C22×Dic61—22no—
439C22×Dic61—22no—
440C22×Dic61—22no—
441C22×Dic61—22no—
442C22×Dic61—22no—
443C22×Dic61—416no—
444C22×Dic61—41no—
445C22×Dic61—41no—
446C22×Dic61—41no—
447C22×Dic61—41no—
448C22×Dic61—41no—
449C22×Dic61—41no—
450C22×Dic61—41no—
451C22×Dic61—41no—
452C22×Dic61—41no—
453C22×Dic61—41no—
454C22×Dic61—41no—
455C22×Dic61—41no—
456C22×Dic61—41no—
457C22×Dic61—41no—
458C22×Dic61—41no—
459C22×Dic61—41no—
460C22×Dic61—41no—
461C22×Dic61—41no—
462C22×Dic61—41no—
463C22×Dic61—41no—
464C22×Dic61—41no—
465C22×Dic61C22×C414yes—
466C22×Dic61C22×C414yes—
467C22×Dic61C22×C414yes—
468C22×Dic61C22×C414yes—
469C22×Dic61C22×C414yes—
470C22×Dic61C22×C414yes—
471C22×Dic61C22×C414yes—
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C22×Dic61C2411yescharacteristic
487#11758224—416no—
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×D61—41no—
496C2×C4×D61C22×C414yes—
497C2×Dic122—41no—
498C2×Dic122—41no—
499C2×Dic122C22×C414yes—
500C4⋊C4×C61—41no—
501C4⋊C4×C61—41no—
502C4⋊C4×C61—41no—
503C22⋊C4×C61—22no—
504C22⋊C4×C61—22no—
505C22⋊C4×C61—22no—
506C22⋊C4×C61—22no—
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—
516C22⋊C4×C61C22×C414yes—
517C42×C61—41no—
518C42×C61—41no—
519C42×C61—41no—
520C22⋊Dic61—22no—
521C22⋊Dic61—22no—
522C22⋊Dic61—22no—
523C22⋊Dic61—22no—
524C22⋊Dic61—41no—
525C22⋊Dic61—41no—
526C22⋊Dic61—41no—
527C22⋊Dic61—41no—
528C22⋊Dic61—41no—
529C22⋊Dic61—41no—
530C22⋊Dic61—41no—
531C22⋊Dic61C22×C414yes—
532C22⋊Dic61C22×C414yes—
533C22⋊Dic61C22×C414yes—
534C22⋊Dic61C22×C414yes—
535C22⋊Dic61C22×C414yes—
536#11758198—41no—
537#11758198—41no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198C22×C414yes—
543#11758198C22×C414yes—
544C4⋊Dic61—41no—
545C4⋊Dic61—41no—
546C4⋊Dic61—41no—
547C4⋊Dic61C22×C414yes—
548C4⋊Dic61C22×C414yes—
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#11758196—41no—
558#11758196—41no—
559#11758196—41no—
560#11758196—41no—
561#11758196—41no—
562#11758196—41no—
563#11758196C22×C414yes—
564#11758196C22×C414yes—
565#11758196C22×C414yes—
566#11758196C22×C414yes—
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×Dic61—41no—
576C4×Dic61C22×C414yes—
577C4×Dic61C22×C414yes—
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—28no—
587C23×C61—28no—
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—44no—
601C23×C61—44no—
602C23×C61—44no—
603C23×C61—44no—
604C23×C61—44no—
605C23×C61C23×C412yes—
606C23×C61C23×C412yes—
607C23×C61C23×C412yes—
608C23×C61C23×C412yes—
609C23×C61H(5,𝔽2)12yes—
610C23×C61H(5,𝔽2)12yes—
611C23×C61H(5,𝔽2)12yes—
612C23×C612−1+412yes—
613C23×C61C2511yescharacteristic
614C22×D61—21no—
615C22×D61—21no—
616C22×D61—21no—
617C22×D61—21no—
618C22×D61—21no—
619C22×D61—21no—
620C22×D61C23×C412yes—
621D4×C61—28no—
622D4×C61—28no—
623D4×C61—44no—
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—82no—
655C2×C4×C61—82no—
656C2×C4×C61—82no—
657C2×C4×C61—82no—
658C2×C4×C61—82no—
659C2×C4×C61C23×C412yes—
660C2×C4×C61C23×C412yes—
661C2×C4×C61C23×C412yes—
662C22⋊D61—28no—
663C22⋊D61—28no—
664C22⋊D61—44no—
665C22⋊D61—44no—
666C2×Dic61—28no—
667C2×Dic61—28no—
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—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—44no—
707C2×Dic61—44no—
708C2×Dic61—44no—
709C2×Dic61—44no—
710C2×Dic61—44no—
711C2×Dic61—82no—
712C2×Dic61—82no—
713C2×Dic61—82no—
714C2×Dic61—82no—
715C2×Dic61—82no—
716C2×Dic61C23×C412yes—
717C2×Dic61C23×C412yes—
718C2×Dic61C23×C412yes—
719C2×Dic61C23×C412yes—
720C2×Dic61C23×C412yes—
721C2×Dic61C23×C412yes—
722C2×Dic61C23×C412yes—
723C4×D61—44no—
724C4×D61—82no—
725C4×D61—82no—
726Dic122—44no—
727#34386—611nomaximal, Sylow
728C22×C61—22no—
729C22×C61—22no—
730C22×C61—22no—
731C22×C61—22no—
732C22×C61—22no—
733C22×C61—22no—
734C22×C61—22no—
735C22×C61—22no—
736C22×C61—22no—
737C22×C61—22no—
738C22×C61—22no—
739C22×C61—22no—
740C22×C61—22no—
741C22×C61—22no—
742C22×C61—22no—
743C22×C61—22no—
744C22×C61—22no—
745C22×C61—22no—
746C22×C61—416no—
747C22×C61—41no—
748C22×C61—41no—
749C22×C61—41no—
750C22×C61—41no—
751C22×C61—41no—
752C22×C61—41no—
753C22×C61—41no—
754C22×C61—41no—
755C22×C61#51814yes—
756C22×C61#52014yes—
757C22×C61C24×C411yescharacteristic
758C22×C61C2×H(5,𝔽2)11yescharacteristic
759C22×C61C2×H(5,𝔽2)11yescharacteristic
760C22×C61C2×H(5,𝔽2)11yescharacteristic
761C22×C61C2×2−1+411yescharacteristic
762C22×C61#58511yescharacteristic
763C22×C61#58511yescharacteristic
764C2×D61—22no—
765C2×D61—22no—
766C2×D61—22no—
767C2×D61—41no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C4×C61—22no—
772C4×C61—22no—
773C4×C61—22no—
774C4×C61—41no—
775C4×C61—41no—
776C4×C61—41no—
777C4×C61—41no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782Dic61—22no—
783Dic61—22no—
784Dic61—22no—
785Dic61—22no—
786Dic61—22no—
787Dic61—22no—
788Dic61—22no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797C2×#525—611no—
798#2378—611no—
799#2378—611no—
800#2377—611no—
801#2377—611no—
802#2358—611no—
803#2358—611no—
804#2358—611no—
805#2358D6111yescharacteristic, complemented
806#2353—611no—
807#2353—611no—
808#2349—611no—
809#2349—611no—
810#2343—611no—
811#2343—611no—
812#2339—611no—
813#2339—611no—
814#2329—611no—
815#2329—611no—
816#2325—611no—
817#2325—611no—
818#2322—611no—
819#2322—611no—
820#2322—611no—
821#2322—611no—
822#2319—611no—
823#2319—611no—
824#2318—611no—
825#2318—611no—
826C2×#381—611no—
827C2×#380—611no—
828C2×C61—24no—
829C2×C61—24no—
830C2×C61—42no—
831C2×C61—42no—
832C2×C61C2×#51811yescharacteristic
833C2×C61C2×#52011yescharacteristic
834C2×C61#342811yescharacteristic
835C2×C61#353411yescharacteristic
836C2×C61#353411yescharacteristic
837C2×C61#353511yescharacteristic
838C2×C61#353511yescharacteristic
839D61—42no—
840C22×#41—611no—
841C24×C4—611no—
842#525—6116no—
843C2×#123—611no—
844C2×#123—611no—
845C2×C22⋊Q8—611no—
846C2×C22⋊Q8—611no—
847C2×#121—611no—
848C2×#121—611no—
849C2×#120—611no—
850C2×#120C2×D6111yescharacteristic
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×C4×D4—611no—
860C2×C4×D4—611no—
861C2×C4×D4C2×D6111yescharacteristic
862C2×C4×D4C2×D6111yescharacteristic
863C2×#117—611no—
864C22×C4⋊C4—611no—
865C22×C4⋊C4—611no—
866C22×C22⋊C4—611no—
867C22×C22⋊C4—611no—
868C22×C22⋊C4C2×D6111yescharacteristic
869C22×C22⋊C4C2×D6111yescharacteristic
870#391—611no—
871#391—611no—
872#391—611no—
873#391—611no—
874#390—611no—
875#390—611no—
876#390—611no—
877#390C2×D6111yescharacteristic
878#389—611no—
879#389—611no—
880#389—611no—
881#389—611no—
882#389—611no—
883#389—611no—
884#389—611no—
885#389—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#388C2×D6111yescharacteristic
901#388C2×D6111yescharacteristic
902#387—611no—
903#387—611no—
904#387—611no—
905#387—611no—
906#387—611no—
907#387—611no—
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#386—611no—
919#386—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#386C2×D6111yescharacteristic
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#385C2×D6111yescharacteristic
949#385C2×D6111yescharacteristic
950#383—611no—
951#383—611no—
952#382—611no—
953#382—611no—
954#381—611no—
955#381—611no—
956#381—611no—
957#381—611no—
958#381—611no—
959#381—611no—
960#381—611no—
961#381—611no—
962#381—611no—
963#381—611no—
964#380—611no—
965#380—611no—
966#380—611no—
967#380—611no—
968#380—611no—
969#380—611no—
970#380—611no—
971#380—611no—
972#380—611no—
973#380—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⋊C4C2×D6111yescharacteristic
985C4×C22⋊C4C2×D6111yescharacteristic
986#376—611no—
987#376—611no—
988C2×#95—611no—
989C2×#95—611no—
990C2×#95—611no—
991C2×#95—611no—
992C2×#95—611no—
993C2×#95—611no—
994C2×#95—611no—
995C2×#95—611no—
996C61#3438611yescharacteristic, complemented, Sylow
997C25C22×D6111yescharacteristic
998C2×#41—618no—
999C2×#41—2442no—
1000C2×#41—2442no—
1001C22×Q8—611no—
1002C22×D4—611no—
1003C22×D4—611no—
1004C22×D4—611no—
1005C22×D4—611no—
1006C22×D4C22×D6111yescharacteristic
1007C22×D4C22×D6111yescharacteristic
1008C22×D4C22×D6111yescharacteristic
1009C23×C4—611no—
1010C23×C4—611no—
1011C23×C4—618no—
1012C23×C4—611no—
1013C23×C4—611no—
1014C23×C4—611no—
1015C23×C4—611no—
1016C23×C4—611no—
1017C23×C4—611no—
1018C23×C4—611no—
1019C23×C4—611no—
1020C23×C4—611no—
1021C23×C4—611no—
1022C23×C4—611no—
1023C23×C4—611no—
1024C23×C4—611no—
1025C23×C4—2442no—
1026C23×C4—2442no—
1027C23×C4C22×D6111yescharacteristic
1028C23×C4C22×D6111yescharacteristic
1029C23×C4C22×D6111yescharacteristic
1030C23×C4C22×D6111yescharacteristic
1031C23×C4C22×D6111yescharacteristic
1032#123—618no—
1033#123—618no—
1034C22⋊Q8—618no—
1035C22⋊Q8—618no—
1036#121—618no—
1037#121—618no—
1038#120—618no—
1039#120C4×D6118yescomplemented
1040C4×D4—42no—
1041C4×D4—42no—
1042C4×D4—618no—
1043C4×D4—618no—
1044C4×D4—618no—
1045C4×D4—618no—
1046C4×D4—2442no—
1047C4×D4—2442no—
1048C4×D4—2442no—
1049C4×D4—2442no—
1050C4×D4—2442no—
1051C4×D4—2442no—
1052#117—618no—
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—611no—
1067C2×C4⋊C4—611no—
1068C2×C4⋊C4—611no—
1069C2×C4⋊C4—611no—
1070C2×C4⋊C4—611no—
1071C2×C4⋊C4—611no—
1072C2×C4⋊C4—611no—
1073C2×C4⋊C4—611no—
1074C2×C4⋊C4—611no—
1075C2×C4⋊C4—611no—
1076C2×C4⋊C4—2442no—
1077C2×C4⋊C4—2442no—
1078C2×C4⋊C4C22×D6111yescharacteristic
1079C2×C4⋊C4C22×D6111yescharacteristic
1080C2×C4⋊C4C22×D6111yescharacteristic
1081C2×C22⋊C4—42no—
1082C2×C22⋊C4—42no—
1083C2×C22⋊C4—611no—
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—611no—
1107C2×C22⋊C4—2442no—
1108C2×C22⋊C4—2442no—
1109C2×C22⋊C4C22×D6111yescharacteristic
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×C22⋊C4C22×D6111yescharacteristic
1121C2×C22⋊C4C22×D6111yescharacteristic
1122C2×C22⋊C4C22×D6111yescharacteristic
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×C42C22×D6111yescharacteristic
1135C2×C42C22×D6111yescharacteristic
1136C2×C42C22×D6111yescharacteristic
1137#95—611no—
1138#95—611no—
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#95—611no—
1168#95—611no—
1169#95—611no—
1170#95—611no—
1171#95—611no—
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95C22×D6111yescharacteristic
1180#95C22×D6111yescharacteristic
1181#95C22×D6111yescharacteristic
1182#95C22×D6111yescharacteristic
1183#95C22×D6111yescharacteristic
1184#95C22×D6111yescharacteristic
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—41no—
1190C24—41no—
1191C24—611no—
1192C24C2×C4×D6114yes—
1193C24C23×D6111yescharacteristic
1194C24C23×D6111yescharacteristic
1195C24C23×D6111yescharacteristic
1196C24C23×D6111yescharacteristic
1197#41—24416no—
1198C2×Q8—614no—
1199C2×Q8—2441no—
1200C2×Q8—2441no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—614no—
1208C2×D4—614no—
1209C2×D4—614no—
1210C2×D4—614no—
1211C2×D4—1222no—
1212C2×D4—1222no—
1213C2×D4—1222no—
1214C2×D4—1222no—
1215C2×D4—2441no—
1216C2×D4—2441no—
1217C2×D4—2441no—
1218C2×D4—2441no—
1219C2×D4C2×C4×D6114yes—
1220C2×D4C2×C4×D6114yes—
1221C2×D4C2×C4×D6114yes—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—614no—
1238C22×C4—614no—
1239C22×C4—611no—
1240C22×C4—611no—
1241C22×C4—611no—
1242C22×C4—611no—
1243C22×C4—611no—
1244C22×C4—611no—
1245C22×C4—611no—
1246C22×C4—614no—
1247C22×C4—614no—
1248C22×C4—614no—
1249C22×C4—614no—
1250C22×C4—614no—
1251C22×C4—614no—
1252C22×C4—611no—
1253C22×C4—611no—
1254C22×C4—611no—
1255C22×C4—611no—
1256C22×C4—611no—
1257C22×C4—611no—
1258C22×C4—611no—
1259C22×C4—611no—
1260C22×C4—1222no—
1261C22×C4—1222no—
1262C22×C4—1222no—
1263C22×C4—1222no—
1264C22×C4—1222no—
1265C22×C4—1222no—
1266C22×C4—1222no—
1267C22×C4—1222no—
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×C4—2441no—
1277C22×C4—2441no—
1278C22×C4—2441no—
1279C22×C4—2441no—
1280C22×C4—2441no—
1281C22×C4—2441no—
1282C22×C4—2441no—
1283C22×C4—2441no—
1284C22×C4—2441no—
1285C22×C4—2441no—
1286C22×C4—2441no—
1287C22×C4—24416no—
1288C22×C4—2441no—
1289C22×C4—2441no—
1290C22×C4—2441no—
1291C22×C4—2441no—
1292C22×C4—2441no—
1293C22×C4—2441no—
1294C22×C4—2441no—
1295C22×C4—2441no—
1296C22×C4—2441no—
1297C22×C4—2441no—
1298C22×C4C23×D6111yescharacteristic
1299C22×C4C23×D6111yescharacteristic
1300C22×C4C23×D6111yescharacteristic
1301C22×C4C23×D6111yescharacteristic
1302C22×C4C23×D6111yescharacteristic
1303C22×C4C23×D6111yescharacteristic
1304C22×C4C23×D6111yescharacteristic
1305C22×C4C23×D6111yescharacteristic
1306C22×C4C23×D6111yescharacteristic
1307C22×C4C23×D6111yescharacteristic
1308C22×C4C23×D6111yescharacteristic
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—614no—
1313C4⋊C4—614no—
1314C4⋊C4—614no—
1315C4⋊C4—614no—
1316C4⋊C4—614no—
1317C4⋊C4—614no—
1318C4⋊C4—2441no—
1319C4⋊C4—2441no—
1320C4⋊C4—2441no—
1321C4⋊C4—2441no—
1322C4⋊C4—2441no—
1323C4⋊C4—2441no—
1324C4⋊C4—2441no—
1325C4⋊C4—2441no—
1326C4⋊C4—2441no—
1327C4⋊C4—2441no—
1328C4⋊C4—2441no—
1329C4⋊C4—2441no—
1330C4⋊C4—2441no—
1331C4⋊C4—2441no—
1332C4⋊C4—2441no—
1333C4⋊C4—2441no—
1334C4⋊C4—2441no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—614no—
1347C22⋊C4—614no—
1348C22⋊C4—614no—
1349C22⋊C4—614no—
1350C22⋊C4—614no—
1351C22⋊C4—614no—
1352C22⋊C4—614no—
1353C22⋊C4—1222no—
1354C22⋊C4—1222no—
1355C22⋊C4—1222no—
1356C22⋊C4—1222no—
1357C22⋊C4—2441no—
1358C22⋊C4—2441no—
1359C22⋊C4—2441no—
1360C22⋊C4—2441no—
1361C22⋊C4—2441no—
1362C22⋊C4—2441no—
1363C22⋊C4—2441no—
1364C22⋊C4—2441no—
1365C22⋊C4—2441no—
1366C22⋊C4—2441no—
1367C22⋊C4—2441no—
1368C22⋊C4—2441no—
1369C22⋊C4—2441no—
1370C22⋊C4C2×C4×D6114yes—
1371C22⋊C4C2×C4×D6114yes—
1372C22⋊C4C2×C4×D6114yes—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—614no—
1377C42—614no—
1378C42—2441no—
1379C42—2441no—
1380C42—2441no—
1381C42—2441no—
1382C42—2441no—
1383C42—2441no—
1384C42—2441no—
1385C42—2441no—
1386C42—2441no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—28no—
1396C23—28no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—612no—
1415C23—1221no—
1416C23—1221no—
1417C23—1221no—
1418C23—1221no—
1419C23—1221no—
1420C23—1221no—
1421C23C22×C4×D6112yes—
1422C23C22×C4×D6112yes—
1423C23C22×C4×D6112yes—
1424C23C22×C4×D6112yes—
1425C23#1451982212yes—
1426C23#1451982212yes—
1427C23#1451982312yes—
1428C23#1451982412yes—
1429C23C24×D6111yescharacteristic
1430Q8—2444no—
1431D4—28no—
1432D4—28no—
1433D4—44no—
1434D4—1228no—
1435D4—1228no—
1436D4—2444no—
1437D4—2444no—
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—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—82no—
1473C2×C4—612no—
1474C2×C4—612no—
1475C2×C4—612no—
1476C2×C4—612no—
1477C2×C4—612no—
1478C2×C4—612no—
1479C2×C4—612no—
1480C2×C4—1228no—
1481C2×C4—1228no—
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—1221no—
1506C2×C4—1221no—
1507C2×C4—1221no—
1508C2×C4—1221no—
1509C2×C4—1221no—
1510C2×C4—1221no—
1511C2×C4—1221no—
1512C2×C4—1221no—
1513C2×C4—1221no—
1514C2×C4—1221no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—4882no—
1521C2×C4—4882no—
1522C2×C4—4882no—
1523C2×C4—4882no—
1524C2×C4—4882no—
1525C2×C4—4882no—
1526C2×C4—4882no—
1527C2×C4—2444no—
1528C2×C4—2444no—
1529C2×C4—2444no—
1530C2×C4—2444no—
1531C2×C4—2444no—
1532C2×C4—2444no—
1533C2×C4C22×C4×D6112yes—
1534C2×C4C22×C4×D6112yes—
1535C2×C4C22×C4×D6112yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—416no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—1222no—
1564C22—1222no—
1565C22—1222no—
1566C22—2441no—
1567C22—2441no—
1568C22—2441no—
1569C22—2441no—
1570C22#1684023414yes—
1571C22#1684024114yes—
1572C22C23×C4×D6111yescharacteristic
1573C22C2×#1451982211yescharacteristic
1574C22C2×#1451982211yescharacteristic
1575C22C2×#1451982311yescharacteristic
1576C22C2×#1451982411yescharacteristic
1577C22#1684059711yescharacteristic
1578C22#1684059711yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—1222no—
1591C4—1222no—
1592C4—1222no—
1593C4—1222no—
1594C4—1222no—
1595C4—1222no—
1596C4—1222no—
1597C4—2441no—
1598C4—2441no—
1599C4—2441no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C2—24no—
1606C2—24no—
1607C2—42no—
1608C2—42no—
1609C2—2442no—
1610C2C2×#1684023411yescharacteristic
1611C2C2×#1684024111yescharacteristic
1612C2#2145901711yescharacteristic
1613C2#2145999711yescharacteristic
1614C2#2146000511yescharacteristic
1615C2#2146001611yescharacteristic
1616C2#2146002411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2358C2
socle, cosocleC23×C61C25
prime radicalC2×#16840268C2
hypercenter#2358D61
hypocenterC61#34386
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. #21448986C2semidirect
3. #21448979C2semidirect
4. #21448977C2semidirect
5. #21448970C2semidirect
6. #21448803C2semidirect
7. #21448798C2semidirect
8. #21448798C2semidirect
9. #21448757C2semidirect
10. #21448753C2semidirect
11. #21448725C2semidirect
12. #21448724C2semidirect
13. #21448677C2semidirect
14. #21448673C2semidirect
15. #21448645C2semidirect
16. #21448644C2semidirect
17. #21448550C2semidirect
18. #21448547C2semidirect
19. #21448520C2semidirect
20. #21448517C2semidirect
21. #21448493C2semidirect
22. #21448490C2semidirect
23. #21448487C2semidirect
24. #21448484C2semidirect
25. #21448460C2semidirect
26. #21448456C2semidirect
27. #21448449C2semidirect
28. #21448445C2semidirect
29. C2×#16839623C2semidirect
30. C2×#16839620C2semidirect
31. C61×#2358C2semidirect
34. #16840268C4semidirect
57. #16839668C22semidirect
58. #16839667C22semidirect
59. #16839666C22semidirect
60. #16839666C22semidirect
64. #16839660C22semidirect
65. #16839660C22semidirect
66. #16839659C22semidirect
67. #16839659C22semidirect
68. #16839658C22semidirect
69. #16839658C22semidirect
70. #16839657C22semidirect
71. #16839657C22semidirect
74. #16839656C22semidirect
75. #16839656C22semidirect
78. #16839653C22semidirect
79. #16839653C22semidirect
80. #16839651C22semidirect
81. #16839651C22semidirect
84. #16839650C22semidirect
85. #16839650C22semidirect
86. #16839649C22semidirect
87. #16839649C22semidirect
88. #16839647C22semidirect
89. #16839647C22semidirect
90. #16839646C22semidirect
91. #16839646C22semidirect
92. #16839646C22semidirect
93. #16839646C22semidirect
94. #16839645C22semidirect
95. #16839645C22semidirect
96. #16839644C22semidirect
97. #16839644C22semidirect
98. #16839644C22semidirect
99. #16839644C22semidirect
100. #16839643C22semidirect
101. #16839643C22semidirect
107. #16839641C22semidirect
110. #16839639C22semidirect
113. #16839638C22semidirect
114. #16839638C22semidirect
117. #16839636C22semidirect
118. #16839636C22semidirect
121. #16839635C22semidirect
122. #16839635C22semidirect
125. #16839634C22semidirect
126. #16839634C22semidirect
127. #16839633C22semidirect
128. #16839633C22semidirect
129. #16839629C22semidirect
130. #16839629C22semidirect
131. #16839627C22semidirect
132. #16839626C22semidirect
133. #16839624C22semidirect
142. #16839623C22semidirect
151. #16839620C22semidirect
152. #16839619C22semidirect
153. C4⋊C4×Dic61C22semidirect
154. C4×#11758196C22semidirect
159. C22⋊C4×Dic61C22semidirect
160. C4×#11758198C22semidirect
163. #16839608C22semidirect
164. #16839607C22semidirect
171. C2×#14519684C22semidirect
172. #95×D61C22semidirect
190. C2×#11758224C2×C4semidirect
198. C23×Dic61C2×C4semidirect
214. #14519761C2×C4semidirect
215. #14519758C2×C4semidirect
216. #14519754C2×C4semidirect
217. #14519754C2×C4semidirect
218. #14519749C2×C4semidirect
219. #14519749C2×C4semidirect
220. #14519746C2×C4semidirect
223. D4×Dic61C2×C4semidirect
224. D4×Dic61C2×C4semidirect
229. #14519737C2×C4semidirect
230. #14519737C2×C4semidirect
231. #14519733C2×C4semidirect
345. #120×C61C2×C4semidirect
805. #2358D61semidirect
996. C61#34386semidirect
1039. #120C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168402682
#214489862
#214489792
#214489772
#214489702
#214488032
#214487982
#214487572
#214487532
#214487252
#214487242
#214486772
#214486732
#214486452
#214486442
#214485502
#214485472
#214485202
#214485172
#214484932
#214484902
#214484872
#214484842
#214484602
#214484562
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C2×#168396232
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C61×#23582
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