Finite Group Databasebeta

← #29843328

Subgroups — #29843328

Order 15616.

2586 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840268C211yesmaximal, characteristic
2#21448969C211yesmaximal, characteristic, complemented
3#21448965C211yesmaximal, characteristic, complemented
4#21448965C211yesmaximal, characteristic, complemented
5#21448962C211yesmaximal, characteristic, complemented
6#21448836C211yesmaximal, characteristic, complemented
7#21448830C211yesmaximal, characteristic, complemented
8#21448825C211yesmaximal, characteristic, complemented
9#21448819C211yesmaximal, characteristic, complemented
10#21448757C211yesmaximal, characteristic, complemented
11#21448753C211yesmaximal, characteristic, complemented
12#21448725C211yesmaximal, characteristic, complemented
13#21448724C211yesmaximal, characteristic, complemented
14#21448709C211yesmaximal, characteristic, complemented
15#21448701C211yesmaximal, characteristic, complemented
16#21448658C211yesmaximal, characteristic, complemented
17#21448645C211yesmaximal, characteristic, complemented
18#21448509C211yesmaximal, characteristic, complemented
19#21448505C211yesmaximal, characteristic, complemented
20#21448498C211yesmaximal, characteristic, complemented
21#21448494C211yesmaximal, characteristic, complemented
22#21448480C211yesmaximal, characteristic, complemented
23#21448477C211yesmaximal, characteristic, complemented
24#21448474C211yesmaximal, characteristic, complemented
25#21448460C211yesmaximal, characteristic, complemented
26#21448456C211yesmaximal, characteristic, complemented
27#21448449C211yesmaximal, characteristic, complemented
28#21448445C211yesmaximal, characteristic, complemented
29#21448197C211yesmaximal, characteristic, complemented
30C2×#16839620C211yesmaximal, characteristic, complemented
31C61×#2321C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C24×Dic61C2211yescharacteristic
34#16840268C4116yescomplemented
35C2×#14519761C2211yescharacteristic
36C2×#14519758C2211yescharacteristic
37C2×#14519754C2211yescharacteristic
38C2×#14519754C2211yescharacteristic
39C2×#14519749C2211yescharacteristic
40C2×#14519749C2211yescharacteristic
41C2×#14519746C2211yescharacteristic
42C2×C4×Dic122C2211yescharacteristic, complemented
43C2×#14519742C2211yescharacteristic, complemented
44C2×D4×Dic61C2211yescharacteristic
45C2×D4×Dic61C2211yescharacteristic
46C2×D4×Dic61C2211yescharacteristic
47C2×C4×C22⋊D61C2211yescharacteristic
48C2×C4×C22⋊D61C2211yescharacteristic, complemented
49C2×#14519737C2211yescharacteristic
50C2×#14519737C2211yescharacteristic
51C2×#14519737C2211yescharacteristic
52C2×#14519737C2211yescharacteristic, complemented
53C2×#14519733C2211yescharacteristic
54C2×#14519733C2211yescharacteristic
55C2×#14519733C2211yescharacteristic
56C22×#11758196C2211yescharacteristic
57C22×#11758196C2211yescharacteristic
58C22×C22⋊Dic61C2211yescharacteristic
59#16839666C2211yescharacteristic, complemented
60#16839666C2211yescharacteristic, complemented
61#16839665C2211yescharacteristic
62#16839665C2211yescharacteristic
63#16839662C2211yescharacteristic
64#16839662C2211yescharacteristic
65#16839662C2211yescharacteristic
66#16839662C2211yescharacteristic
67#16839662C2211yescharacteristic, complemented
68#16839662C2211yescharacteristic, complemented
69#16839660C2211yescharacteristic, complemented
70#16839660C2211yescharacteristic, complemented
71#16839659C2211yescharacteristic, complemented
72#16839659C2211yescharacteristic, complemented
73#16839659C2211yescharacteristic, complemented
74#16839659C2211yescharacteristic, complemented
75#16839658C2211yescharacteristic, complemented
76#16839658C2211yescharacteristic, complemented
77#16839657C2211yescharacteristic, complemented
78#16839657C2211yescharacteristic, complemented
79#16839657C2211yescharacteristic, complemented
80#16839657C2211yescharacteristic, complemented
81#16839656C2211yescharacteristic
82#16839656C2211yescharacteristic
83#16839656C2211yescharacteristic
84#16839656C2211yescharacteristic
85#16839656C2211yescharacteristic, complemented
86#16839656C2211yescharacteristic, complemented
87#16839655C2211yescharacteristic
88#16839655C2211yescharacteristic
89#16839655C2211yescharacteristic
90#16839655C2211yescharacteristic
91#16839653C2211yescharacteristic, complemented
92#16839653C2211yescharacteristic, complemented
93#16839651C2211yescharacteristic, complemented
94#16839651C2211yescharacteristic, complemented
95#16839650C2211yescharacteristic
96#16839650C2211yescharacteristic
97#16839650C2211yescharacteristic
98#16839650C2211yescharacteristic
99#16839650C2211yescharacteristic, complemented
100#16839650C2211yescharacteristic, complemented
101#16839647C2211yescharacteristic, complemented
102#16839647C2211yescharacteristic, complemented
103#16839646C2211yescharacteristic, complemented
104#16839646C2211yescharacteristic, complemented
105#16839645C2211yescharacteristic, complemented
106#16839645C2211yescharacteristic, complemented
107#16839644C2211yescharacteristic, complemented
108#16839644C2211yescharacteristic, complemented
109#16839642C2211yescharacteristic
110#16839642C2211yescharacteristic
111#16839642C2211yescharacteristic
112#16839641C2211yescharacteristic
113#16839639C2211yescharacteristic
114#16839638C2211yescharacteristic
115#16839638C2211yescharacteristic
116#16839638C2211yescharacteristic
117#16839638C2211yescharacteristic
118#16839637C2211yescharacteristic
119#16839636C2211yescharacteristic, complemented
120#16839636C2211yescharacteristic, complemented
121#16839635C2211yescharacteristic
122#16839635C2211yescharacteristic, complemented
123#16839635C2211yescharacteristic, complemented
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, complemented
137#16839620C2211yescharacteristic
138#16839620C2211yescharacteristic
139#16839620C2211yescharacteristic
140#16839620C2211yescharacteristic
141#16839620C2211yescharacteristic
142#16839620C2211yescharacteristic
143#16839620C2211yescharacteristic
144#16839620C2211yescharacteristic
145#16839620C2211yescharacteristic
146#16839620C2211yescharacteristic
147#16839620C2211yescharacteristic
148#16839620C2211yescharacteristic
149#16839620C2211yescharacteristic, complemented
150#16839619C2211yescharacteristic, complemented
151#16839618C2211yescharacteristic
152C4⋊C4×Dic61C2211yescharacteristic, complemented
153C4×#11758196C2211yescharacteristic, complemented
154C4×#11758196C2211yescharacteristic, complemented
155C4×#11758196C2211yescharacteristic, complemented
156#16839613C2211yescharacteristic, complemented
157#16839613C2211yescharacteristic, complemented
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic
160C22⋊C4×Dic61C2211yescharacteristic
161C22⋊C4×Dic61C2211yescharacteristic
162C22⋊C4×Dic61C2211yescharacteristic
163C22⋊C4×Dic61C2211yescharacteristic
164C22⋊C4×Dic61C2211yescharacteristic, complemented
165C4×#11758198C2211yescharacteristic, complemented
166C4×C22⋊Dic61C2211yescharacteristic
167#16839608C2211yescharacteristic, complemented
168#16839607C2211yescharacteristic, complemented
169C2×#14519684C2211yescharacteristic
170C2×#14519684C2211yescharacteristic
171C2×#14519684C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173C2×#120×C61C2211yescharacteristic
174C2×C4×D4×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C61×#390C2211yescharacteristic
177C61×#390C2211yescharacteristic
178C61×#388C2211yescharacteristic
179C61×#388C2211yescharacteristic
180C61×#388C2211yescharacteristic
181C61×#388C2211yescharacteristic
182C61×#386C2211yescharacteristic
183C61×#386C2211yescharacteristic
184C61×#386C2211yescharacteristic
185C61×#385C2211yescharacteristic
186C61×#379C2211yescharacteristic
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
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212#14519761C2×C418yescomplemented
213#14519758C2×C418yescomplemented
214#14519754C2×C418yescomplemented
215#14519754C2×C418yescomplemented
216#14519749C2×C418yes—
217#14519749C2×C418yescomplemented
218#14519746C2×C418yescomplemented
219C4×Dic122—42no—
220#14519742—42no—
221D4×Dic61—42no—
222D4×Dic61C2×C418yescomplemented
223D4×Dic61C2×C418yescomplemented
224C4×C22⋊D61—42no—
225C4×C22⋊D61—42no—
226#14519737—42no—
227#14519737—42no—
228#14519737C2×C418yescomplemented
229#14519737C2×C418yescomplemented
230#14519733—42no—
231#14519733—42no—
232#14519733C2×C418yescomplemented
233C2×C4⋊Dic61C2311yescharacteristic
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×#11758196—42no—
239C2×#11758196—42no—
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×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×C22⋊Dic61—42no—
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×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
291C2×C4×Dic61C2311yescharacteristic
292C2×C4×Dic61C2311yescharacteristic
293C2×C4×Dic61C2311yescharacteristic
294C2×C4×Dic61C2311yescharacteristic
295C2×C4×Dic61C2311yescharacteristic
296C2×C4×Dic61C2311yescharacteristic
297C2×C4×Dic61C2311yescharacteristic
298C2×C4×Dic61C2311yescharacteristic
299C2×C4×Dic61C2311yescharacteristic
300C2×C4×Dic61C2311yescharacteristic
301C2×C4×Dic61C2311yescharacteristic
302C2×C4×Dic61C2311yescharacteristic
303C2×C4×Dic61C2311yescharacteristic
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
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338C25×C61C2311yescharacteristic
339C22×D4×C61C2311yescharacteristic
340C22×D4×C61C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344C23×C4×C61C2311yescharacteristic
345#120×C61C2×C418yescomplemented
346C4×D4×C61—42no—
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61—42no—
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×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—41no—
379C24×C61—41no—
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—41no—
391C2×D4×C61—41no—
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—41no—
400C22×C4×C61—41no—
401C22×C4×C61—41no—
402C22×C4×C61—41no—
403C22×C4×C61—41no—
404C22×C4×C61—41no—
405C22×C4×C61—41no—
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C2×C22⋊D61—22no—
418C2×C22⋊D61—22no—
419C2×C22⋊D61—22no—
420C2×C22⋊D61—22no—
421C2×C22⋊D61—41no—
422C2×C22⋊D61—41no—
423C2×C22⋊D61—41no—
424C2×C22⋊D61—41no—
425C2×C22⋊D61C22×C414yes—
426C2×C22⋊D61C22×C414yes—
427C2×C22⋊D61C22×C414yes—
428C2×C22⋊D61C22×C414yes—
429C22×Dic61—22no—
430C22×Dic61—22no—
431C22×Dic61—22no—
432C22×Dic61—22no—
433C22×Dic61—22no—
434C22×Dic61—22no—
435C22×Dic61—22no—
436C22×Dic61—22no—
437C22×Dic61—416no—
438C22×Dic61—41no—
439C22×Dic61—41no—
440C22×Dic61—41no—
441C22×Dic61—41no—
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×Dic61—41no—
452C22×Dic61—41no—
453C22×Dic61C22×C414yes—
454C22×Dic61C22×C414yes—
455C22×Dic61C22×C414yes—
456C22×Dic61C22×C414yes—
457C22×Dic61C22×C414yes—
458C22×Dic61C22×C414yes—
459C22×Dic61C22×C414yes—
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475#11758224—416no—
476C2×C4×D61—41no—
477C2×C4×D61—41no—
478C2×C4×D61—41no—
479C2×C4×D61—41no—
480C2×C4×D61—41no—
481C2×C4×D61—41no—
482C2×C4×D61—41no—
483C2×C4×D61—41no—
484C2×C4×D61C22×C414yes—
485C2×Dic122—22no—
486C2×Dic122—22no—
487C2×Dic122C22×C414yes—
488C4⋊C4×C61—41no—
489C4⋊C4×C61—41no—
490C4⋊C4×C61—41no—
491C22⋊C4×C61—22no—
492C22⋊C4×C61—22no—
493C22⋊C4×C61—41no—
494C22⋊C4×C61—41no—
495C22⋊C4×C61—41no—
496C22⋊C4×C61—41no—
497C22⋊C4×C61—41no—
498C22⋊C4×C61—41no—
499C22⋊C4×C61—41no—
500C22⋊C4×C61—41no—
501C22⋊C4×C61—41no—
502C22⋊C4×C61—41no—
503C22⋊C4×C61—41no—
504C22⋊C4×C61C22×C414yes—
505C22⋊C4×C61C22×C414yes—
506C22⋊C4×C61C22×C414yes—
507C42×C61—41no—
508C42×C61—41no—
509C42×C61—41no—
510C22⋊Dic61—22no—
511C22⋊Dic61—22no—
512C22⋊Dic61—41no—
513C22⋊Dic61—41no—
514C22⋊Dic61—41no—
515C22⋊Dic61—41no—
516C22⋊Dic61—41no—
517C22⋊Dic61—41no—
518C22⋊Dic61—41no—
519C22⋊Dic61—41no—
520C22⋊Dic61—41no—
521C22⋊Dic61—41no—
522C22⋊Dic61—41no—
523C22⋊Dic61C22×C414yes—
524C22⋊Dic61C22×C414yes—
525C22⋊Dic61C22×C414yes—
526C22⋊Dic61C22×C414yes—
527C22⋊Dic61C22×C414yes—
528#11758198—41no—
529#11758198—41no—
530#11758198—41no—
531#11758198—41no—
532#11758198—41no—
533#11758198—41no—
534#11758198C22×C414yes—
535#11758198C22×C414yes—
536C4⋊Dic61—41no—
537C4⋊Dic61—41no—
538C4⋊Dic61—41no—
539C4⋊Dic61C22×C414yes—
540C4⋊Dic61C22×C414yes—
541#11758196—22no—
542#11758196—22no—
543#11758196—22no—
544#11758196—22no—
545#11758196—41no—
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#11758196—41no—
558#11758196—41no—
559#11758196C22×C414yes—
560#11758196C22×C414yes—
561#11758196C22×C414yes—
562#11758196C22×C414yes—
563C4×Dic61—22no—
564C4×Dic61—22no—
565C4×Dic61—22no—
566C4×Dic61—22no—
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—28no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
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—44no—
602C23×C61—44no—
603C23×C61—44no—
604C23×C61—44no—
605C23×C61—44no—
606C23×C61—44no—
607C23×C61C23×C412yes—
608C23×C61C23×C412yes—
609C23×C61C23×C412yes—
610C23×C61C23×C412yes—
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—44no—
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×C61C23×C412yes—
658C2×C4×C61C23×C412yes—
659C2×C4×C61C23×C412yes—
660C22⋊D61—28no—
661C22⋊D61—28no—
662C22⋊D61—44no—
663C22⋊D61—44no—
664C2×Dic61—21no—
665C2×Dic61—21no—
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—28no—
677C2×Dic61—28no—
678C2×Dic61—28no—
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—44no—
704C2×Dic61—44no—
705C2×Dic61—44no—
706C2×Dic61—44no—
707C2×Dic61—82no—
708C2×Dic61—82no—
709C2×Dic61—82no—
710C2×Dic61C23×C412yes—
711C2×Dic61C23×C412yes—
712C2×Dic61C23×C412yes—
713C2×Dic61C23×C412yes—
714C2×Dic61C23×C412yes—
715C2×Dic61C23×C412yes—
716C2×Dic61C23×C412yes—
717C2×Dic61H(5,𝔽2)12yes—
718C2×Dic61H(5,𝔽2)12yes—
719C4×D61—44no—
720C4×D61—82no—
721C4×D61—82no—
722Dic122—28no—
723#34404—611nomaximal, Sylow
724C22×C61—22no—
725C22×C61—22no—
726C22×C61—22no—
727C22×C61—22no—
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—416no—
740C22×C61—41no—
741C22×C61—41no—
742C22×C61—41no—
743C22×C61—41no—
744C22×C61—41no—
745C22×C61—41no—
746C22×C61—41no—
747C22×C61—41no—
748C22×C61—41no—
749C22×C61—41no—
750C22×C61—41no—
751C22×C61—41no—
752C22×C61#52014yes—
753C22×C61C24×C411yescharacteristic
754C22×C61C2×H(5,𝔽2)11yescharacteristic
755C22×C61C2×H(5,𝔽2)11yescharacteristic
756C22×C61C2×H(5,𝔽2)11yescharacteristic
757C22×C61C2×2−1+411yescharacteristic
758C22×C61#58511yescharacteristic
759C22×C61#58511yescharacteristic
760C2×D61—22no—
761C2×D61—22no—
762C2×D61—22no—
763C2×D61—41no—
764C2×D61—41no—
765C2×D61—41no—
766C2×D61—41no—
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—41no—
785Dic61—41no—
786Dic61—41no—
787Dic61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61#51814yes—
793C2×#525—611no—
794#2376—611no—
795#2376—611no—
796#2376—611no—
797#2376—611no—
798#2361—611no—
799#2361—611no—
800#2360—611no—
801#2360—611no—
802#2353—611no—
803#2353—611no—
804#2349—611no—
805#2349—611no—
806#2347—611no—
807#2346—611no—
808#2341—611no—
809#2339—611no—
810#2324—611no—
811#2324—611no—
812#2323—611no—
813#2323—611no—
814#2321—611no—
815#2321—611no—
816#2321—611no—
817#2321D6111yescharacteristic, complemented
818#2319—611no—
819#2319—611no—
820#2318—611no—
821#2318—611no—
822#2280—611no—
823C2×#380—611no—
824C2×C61—24no—
825C2×C61—42no—
826C2×C61—42no—
827C2×C61—42no—
828C2×C61C2×#51811yescharacteristic
829C2×C61C2×#52011yescharacteristic
830C2×C61#342811yescharacteristic
831C2×C61#354111yescharacteristic
832C2×C61#354111yescharacteristic
833C2×C61#354211yescharacteristic
834C2×C61#354211yescharacteristic
835D61—42no—
836C22×#41—611no—
837C24×C4—611no—
838#525—6116no—
839C2×#123—611no—
840C2×#123—611no—
841C2×C22⋊Q8—611no—
842C2×C22⋊Q8—611no—
843C2×#121—611no—
844C2×#121—611no—
845C2×#120—611no—
846C2×#120C2×D6111yescharacteristic
847C2×C4×Q8—611no—
848C2×C4×Q8—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×D4C2×D6111yescharacteristic
859C2×#117—611no—
860C2×#117—611no—
861C2×#117—611no—
862C22×C4⋊C4—611no—
863C22×C4⋊C4—611no—
864C22×C22⋊C4—611no—
865C22×C22⋊C4C2×D6111yescharacteristic
866#391—611no—
867#391—611no—
868#390—611no—
869#390—611no—
870#390—611no—
871#390—611no—
872#390—611no—
873#390—611no—
874#390—611no—
875#390—611no—
876#390C2×D6111yescharacteristic
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#389—611no—
887#389—611no—
888#389—611no—
889#389—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#388—611no—
905#388—611no—
906#388—611no—
907#388—611no—
908#388—611no—
909#388—611no—
910#388C2×D6111yescharacteristic
911#388C2×D6111yescharacteristic
912#388C2×D6111yescharacteristic
913#388C2×D6111yescharacteristic
914#387—611no—
915#387—611no—
916#387—611no—
917#387—611no—
918#387—611no—
919#387—611no—
920#387—611no—
921#387—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#385C2×D6111yescharacteristic
946#383—611no—
947#383—611no—
948#382—611no—
949#382—611no—
950#381—611no—
951#381—611no—
952#381—611no—
953#381—611no—
954#380—611no—
955#380—611no—
956#380—611no—
957#380—611no—
958#380—611no—
959#380—611no—
960#380—611no—
961#380—611no—
962#380—611no—
963#380—611no—
964#380—611no—
965#380—611no—
966#380—611no—
967#380—611no—
968#379—611no—
969#379C2×D6111yescharacteristic
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⋊C4C2×D6111yescharacteristic
986#376—611no—
987#376—611no—
988C2×#95—611no—
989C2×#95—611no—
990C2×#95—611no—
991C2×#95—611no—
992C61#3440411yescharacteristic, complemented, Sylow
993C25C22×D6111yescharacteristic
994C2×#41—618no—
995C2×#41—2442no—
996C2×#41—2442no—
997C22×Q8—611no—
998C22×D4—611no—
999C22×D4—611no—
1000C22×D4—611no—
1001C22×D4—611no—
1002C22×D4C22×D6111yescharacteristic
1003C22×D4C22×D6111yescharacteristic
1004C22×D4C22×D6111yescharacteristic
1005C23×C4—611no—
1006C23×C4—611no—
1007C23×C4—611no—
1008C23×C4—618no—
1009C23×C4—611no—
1010C23×C4—611no—
1011C23×C4—611no—
1012C23×C4—611no—
1013C23×C4—611no—
1014C23×C4—611no—
1015C23×C4—611no—
1016C23×C4—611no—
1017C23×C4—611no—
1018C23×C4—611no—
1019C23×C4—2442no—
1020C23×C4—2442no—
1021C23×C4C22×D6111yescharacteristic
1022C23×C4C22×D6111yescharacteristic
1023C23×C4C22×D6111yescharacteristic
1024#123—618no—
1025#123—618no—
1026C22⋊Q8—618no—
1027C22⋊Q8—618no—
1028#121—618no—
1029#121—618no—
1030#120—618no—
1031#120C4×D6118yescomplemented
1032C4×Q8—2442no—
1033C4×Q8—2442no—
1034C4×D4—42no—
1035C4×D4—618no—
1036C4×D4—618no—
1037C4×D4—618no—
1038C4×D4—618no—
1039C4×D4—2442no—
1040C4×D4—2442no—
1041C4×D4—2442no—
1042C4×D4—2442no—
1043C4×D4—2442no—
1044#117—618no—
1045#117—2442no—
1046#117—2442no—
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—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—2442no—
1075C2×C4⋊C4—2442no—
1076C2×C4⋊C4C22×D6111yescharacteristic
1077C2×C4⋊C4C22×D6111yescharacteristic
1078C2×C4⋊C4C22×D6111yescharacteristic
1079C2×C22⋊C4—42no—
1080C2×C22⋊C4—611no—
1081C2×C22⋊C4—611no—
1082C2×C22⋊C4—611no—
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—2442no—
1107C2×C22⋊C4C22×D6111yescharacteristic
1108C2×C22⋊C4C22×D6111yescharacteristic
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×C42—611no—
1135C2×C42—611no—
1136C2×C42—611no—
1137C2×C42—611no—
1138C2×C42C22×D6111yescharacteristic
1139C2×C42C22×D6111yescharacteristic
1140C2×C42C22×D6111yescharacteristic
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#95C22×D6111yescharacteristic
1176#95C22×D6111yescharacteristic
1177#95C22×D6111yescharacteristic
1178#95C22×D6111yescharacteristic
1179#95C22×D6111yescharacteristic
1180#95C22×D6111yescharacteristic
1181C24—22no—
1182C24—22no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24—611no—
1188C24C2×C4×D6114yes—
1189C24C23×D6111yescharacteristic
1190C24C23×D6111yescharacteristic
1191C24C23×D6111yescharacteristic
1192C24C23×D6111yescharacteristic
1193#41—24416no—
1194C2×Q8—614no—
1195C2×Q8—1222no—
1196C2×Q8—1222no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—614no—
1204C2×D4—614no—
1205C2×D4—614no—
1206C2×D4—614no—
1207C2×D4—1222no—
1208C2×D4—1222no—
1209C2×D4—1222no—
1210C2×D4—1222no—
1211C2×D4—2441no—
1212C2×D4—2441no—
1213C2×D4—2441no—
1214C2×D4—2441no—
1215C2×D4C2×C4×D6114yes—
1216C2×D4C2×C4×D6114yes—
1217C2×D4C2×C4×D6114yes—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—611no—
1228C22×C4—614no—
1229C22×C4—614no—
1230C22×C4—614no—
1231C22×C4—611no—
1232C22×C4—611no—
1233C22×C4—611no—
1234C22×C4—611no—
1235C22×C4—611no—
1236C22×C4—611no—
1237C22×C4—614no—
1238C22×C4—614no—
1239C22×C4—614no—
1240C22×C4—614no—
1241C22×C4—614no—
1242C22×C4—611no—
1243C22×C4—611no—
1244C22×C4—611no—
1245C22×C4—611no—
1246C22×C4—611no—
1247C22×C4—611no—
1248C22×C4—611no—
1249C22×C4—611no—
1250C22×C4—1222no—
1251C22×C4—1222no—
1252C22×C4—1222no—
1253C22×C4—1222no—
1254C22×C4—1222no—
1255C22×C4—1222no—
1256C22×C4—1222no—
1257C22×C4—1222no—
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—24416no—
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×C4—2441no—
1277C22×C4—2441no—
1278C22×C4—2441no—
1279C22×C4—2441no—
1280C22×C4—2441no—
1281C22×C4—2441no—
1282C22×C4C23×D6111yescharacteristic
1283C22×C4C23×D6111yescharacteristic
1284C22×C4C23×D6111yescharacteristic
1285C22×C4C23×D6111yescharacteristic
1286C22×C4C23×D6111yescharacteristic
1287C22×C4C23×D6111yescharacteristic
1288C22×C4C23×D6111yescharacteristic
1289C22×C4C23×D6111yescharacteristic
1290C22×C4C23×D6111yescharacteristic
1291C22×C4C23×D6111yescharacteristic
1292C22×C4C23×D6111yescharacteristic
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—614no—
1297C4⋊C4—614no—
1298C4⋊C4—614no—
1299C4⋊C4—614no—
1300C4⋊C4—614no—
1301C4⋊C4—614no—
1302C4⋊C4—1222no—
1303C4⋊C4—1222no—
1304C4⋊C4—1222no—
1305C4⋊C4—1222no—
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—
1319C4⋊C4—2441no—
1320C4⋊C4—2441no—
1321C4⋊C4—2441no—
1322C4⋊C4—2441no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—614no—
1337C22⋊C4—614no—
1338C22⋊C4—614no—
1339C22⋊C4—614no—
1340C22⋊C4—614no—
1341C22⋊C4—614no—
1342C22⋊C4—614no—
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⋊C4—2441no—
1358C22⋊C4—2441no—
1359C22⋊C4—2441no—
1360C22⋊C4—2441no—
1361C22⋊C4—2441no—
1362C22⋊C4C2×C4×D6114yes—
1363C22⋊C4C2×C4×D6114yes—
1364C22⋊C4C2×C4×D6114yes—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—614no—
1369C42—614no—
1370C42—1222no—
1371C42—1222no—
1372C42—1222no—
1373C42—1222no—
1374C42—2441no—
1375C42—2441no—
1376C42—2441no—
1377C42—2441no—
1378C42—2441no—
1379C42—2441no—
1380C42—2441no—
1381C42—2441no—
1382C42—2441no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—612no—
1413C23—1221no—
1414C23—1221no—
1415C23—1221no—
1416C23—1221no—
1417C23—1221no—
1418C23—1221no—
1419C23C22×C4×D6112yes—
1420C23C22×C4×D6112yes—
1421C23C22×C4×D6112yes—
1422C23C22×C4×D6112yes—
1423C23#1451982212yes—
1424C23#1451982412yes—
1425C23C24×D6111yescharacteristic
1426Q8—1228no—
1427D4—28no—
1428D4—44no—
1429D4—44no—
1430D4—1228no—
1431D4—1228no—
1432D4—2444no—
1433D4—2444no—
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—82no—
1467C2×C4—612no—
1468C2×C4—612no—
1469C2×C4—612no—
1470C2×C4—612no—
1471C2×C4—612no—
1472C2×C4—612no—
1473C2×C4—612no—
1474C2×C4—612no—
1475C2×C4—612no—
1476C2×C4—1228no—
1477C2×C4—1228no—
1478C2×C4—1228no—
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—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—4882no—
1516C2×C4—4882no—
1517C2×C4—4882no—
1518C2×C4—4882no—
1519C2×C4—4882no—
1520C2×C4—2444no—
1521C2×C4—2444no—
1522C2×C4—2444no—
1523C2×C4—2444no—
1524C2×C4—2444no—
1525C2×C4C22×C4×D6112yes—
1526C2×C4C22×C4×D6112yes—
1527C2×C4C22×C4×D6112yes—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—416no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—1222no—
1557C22—1222no—
1558C22—1222no—
1559C22—2441no—
1560C22—2441no—
1561C22—2441no—
1562C22—2441no—
1563C22#1684024114yes—
1564C22C23×C4×D6111yescharacteristic
1565C22H(5,𝔽2)×D6111yescharacteristic
1566C22H(5,𝔽2)×D6111yescharacteristic
1567C22C2×#1451982211yescharacteristic
1568C22C2×#1451982411yescharacteristic
1569C22#1684059711yescharacteristic
1570C22#1684059711yescharacteristic
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—614no—
1583C4—1222no—
1584C4—1222no—
1585C4—1222no—
1586C4—1222no—
1587C4—1222no—
1588C4—1222no—
1589C4—2441no—
1590C4—2441no—
1591C4—2441no—
1592C4—2441no—
1593C4—2441no—
1594C4—2441no—
1595C4—2441no—
1596C4—2441no—
1597C2—24no—
1598C2—42no—
1599C2—42no—
1600C2—42no—
1601C2—2442no—
1602C2#518×D6111yescharacteristic
1603C2C2×#1684024111yescharacteristic
1604C2#2145901711yescharacteristic
1605C2#2146009911yescharacteristic
1606C2#2146010711yescharacteristic
1607C2#2146012211yescharacteristic
1608C2#2146013011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2321C2
socle, cosocleC23×C61C25
prime radicalC2×#16840268C2
hypercenter#2321D61
hypocenterC61#34404
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
2. #21448969C2semidirect
3. #21448965C2semidirect
4. #21448965C2semidirect
5. #21448962C2semidirect
6. #21448836C2semidirect
7. #21448830C2semidirect
8. #21448825C2semidirect
9. #21448819C2semidirect
10. #21448757C2semidirect
11. #21448753C2semidirect
12. #21448725C2semidirect
13. #21448724C2semidirect
14. #21448709C2semidirect
15. #21448701C2semidirect
16. #21448658C2semidirect
17. #21448645C2semidirect
18. #21448509C2semidirect
19. #21448505C2semidirect
20. #21448498C2semidirect
21. #21448494C2semidirect
22. #21448480C2semidirect
23. #21448477C2semidirect
24. #21448474C2semidirect
25. #21448460C2semidirect
26. #21448456C2semidirect
27. #21448449C2semidirect
28. #21448445C2semidirect
29. #21448197C2semidirect
30. C2×#16839620C2semidirect
31. C61×#2321C2semidirect
34. #16840268C4semidirect
42. C2×C4×Dic122C22semidirect
43. C2×#14519742C22semidirect
48. C2×C4×C22⋊D61C22semidirect
52. C2×#14519737C22semidirect
59. #16839666C22semidirect
60. #16839666C22semidirect
67. #16839662C22semidirect
68. #16839662C22semidirect
69. #16839660C22semidirect
70. #16839660C22semidirect
71. #16839659C22semidirect
72. #16839659C22semidirect
73. #16839659C22semidirect
74. #16839659C22semidirect
75. #16839658C22semidirect
76. #16839658C22semidirect
77. #16839657C22semidirect
78. #16839657C22semidirect
79. #16839657C22semidirect
80. #16839657C22semidirect
85. #16839656C22semidirect
86. #16839656C22semidirect
91. #16839653C22semidirect
92. #16839653C22semidirect
93. #16839651C22semidirect
94. #16839651C22semidirect
99. #16839650C22semidirect
100. #16839650C22semidirect
101. #16839647C22semidirect
102. #16839647C22semidirect
103. #16839646C22semidirect
104. #16839646C22semidirect
105. #16839645C22semidirect
106. #16839645C22semidirect
107. #16839644C22semidirect
108. #16839644C22semidirect
119. #16839636C22semidirect
120. #16839636C22semidirect
122. #16839635C22semidirect
123. #16839635C22semidirect
125. #16839634C22semidirect
126. #16839634C22semidirect
127. #16839633C22semidirect
128. #16839633C22semidirect
129. #16839629C22semidirect
130. #16839629C22semidirect
131. #16839627C22semidirect
132. #16839626C22semidirect
133. #16839624C22semidirect
136. #16839623C22semidirect
149. #16839620C22semidirect
150. #16839619C22semidirect
152. C4⋊C4×Dic61C22semidirect
153. C4×#11758196C22semidirect
154. C4×#11758196C22semidirect
155. C4×#11758196C22semidirect
156. #16839613C22semidirect
157. #16839613C22semidirect
164. C22⋊C4×Dic61C22semidirect
165. C4×#11758198C22semidirect
167. #16839608C22semidirect
168. #16839607C22semidirect
171. C2×#14519684C22semidirect
172. #95×D61C22semidirect
190. C2×#11758224C2×C4semidirect
198. C23×Dic61C2×C4semidirect
212. #14519761C2×C4semidirect
213. #14519758C2×C4semidirect
214. #14519754C2×C4semidirect
215. #14519754C2×C4semidirect
217. #14519749C2×C4semidirect
218. #14519746C2×C4semidirect
222. D4×Dic61C2×C4semidirect
223. D4×Dic61C2×C4semidirect
228. #14519737C2×C4semidirect
229. #14519737C2×C4semidirect
232. #14519733C2×C4semidirect
345. #120×C61C2×C4semidirect
817. #2321D61semidirect
992. C61#34404semidirect
1031. #120C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168402682
#214489692
#214489652
#214489622
#214488362
#214488302
#214488252
#214488192
#214487572
#214487532
#214487252
#214487242
#214487092
#214487012
#214486582
#214486452
#214485092
#214485052
#214484982
#214484942
#214484802
#214484772
#214484742
#214484602
#214484562
#214484492
#214484452
#214481972
C2×#168396202
C61×#23212
#3440461