Finite Group Databasebeta

← #29840969

Subgroups — #29840969

Order 15616.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840235C211yesmaximal, characteristic
2#21448762C211yesmaximal, characteristic, complemented
3#21448756C211yesmaximal, characteristic, complemented
4#21448754C211yesmaximal, characteristic, complemented
5#21448754C211yesmaximal, characteristic, complemented
6#21448749C211yesmaximal, characteristic, complemented
7#21448747C211yesmaximal, characteristic, complemented
8#21448747C211yesmaximal, characteristic, complemented
9#21448741C211yesmaximal, characteristic, complemented
10#21448677C211yesmaximal, characteristic, complemented
11#21448677C211yesmaximal, characteristic, complemented
12#21448673C211yesmaximal, characteristic, complemented
13#21448673C211yesmaximal, characteristic, complemented
14#21448670C211yesmaximal, characteristic, complemented
15#21448668C211yesmaximal, characteristic, complemented
16#21448664C211yesmaximal, characteristic, complemented
17#21448454C211yesmaximal, characteristic, complemented
18#21448449C211yesmaximal, characteristic, complemented
19#21448449C211yesmaximal, characteristic, complemented
20#21448448C211yesmaximal, characteristic, complemented
21#21448430C211yesmaximal, characteristic, complemented
22#21448395C211yesmaximal, characteristic
23#21448265C211yesmaximal, characteristic, complemented
24#21448261C211yesmaximal, characteristic, complemented
25#21448261C211yesmaximal, characteristic, complemented
26#21448256C211yesmaximal, characteristic, complemented
27C2×#16839638C211yesmaximal, characteristic
28#385×D61C211yesmaximal, characteristic, complemented
29#21448171C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D61C211yesmaximal, characteristic, complemented
31C61×#2342C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34#16840235C4116yescomplemented
35C2×C4×C22⋊D61C2211yescharacteristic
36C2×C4×C22⋊D61C2211yescharacteristic
37C2×C4×C22⋊D61C2211yescharacteristic
38C2×C4×C22⋊D61C2211yescharacteristic
39C2×#14519737C2211yescharacteristic
40C2×#14519737C2211yescharacteristic
41C2×#14519737C2211yescharacteristic
42C2×#14519737C2211yescharacteristic
43C2×#14519736C2211yescharacteristic, complemented
44C2×#14519733C2211yescharacteristic
45C2×#14519733C2211yescharacteristic
46C2×#14519733C2211yescharacteristic, complemented
47C2×#14519733C2211yescharacteristic, complemented
48C2×C4⋊C4×D61C2211yescharacteristic, complemented
49C2×C4⋊C4×D61C2211yescharacteristic, complemented
50C22×C22⋊Dic61C2211yescharacteristic
51C22×C22⋊Dic61C2211yescharacteristic
52C22×#11758198C2211yescharacteristic
53C2×C22⋊C4×D61C2211yescharacteristic
54C2×C22⋊C4×D61C2211yescharacteristic
55C2×C22⋊C4×D61C2211yescharacteristic
56C2×C22⋊C4×D61C2211yescharacteristic
57C2×C42×D61C2211yescharacteristic, complemented
58C2×C42×D61C2211yescharacteristic, complemented
59#16839656C2211yescharacteristic, complemented
60#16839656C2211yescharacteristic, complemented
61#16839656C2211yescharacteristic, complemented
62#16839656C2211yescharacteristic, complemented
63#16839655C2211yescharacteristic, complemented
64#16839655C2211yescharacteristic, complemented
65#16839655C2211yescharacteristic, complemented
66#16839655C2211yescharacteristic, complemented
67#16839650C2211yescharacteristic, complemented
68#16839650C2211yescharacteristic, complemented
69#16839650C2211yescharacteristic, complemented
70#16839650C2211yescharacteristic, complemented
71#16839649C2211yescharacteristic, complemented
72#16839649C2211yescharacteristic, complemented
73#16839649C2211yescharacteristic, complemented
74#16839649C2211yescharacteristic, complemented
75#16839646C2211yescharacteristic, complemented
76#16839646C2211yescharacteristic, complemented
77#16839646C2211yescharacteristic, complemented
78#16839646C2211yescharacteristic, complemented
79#16839644C2211yescharacteristic, complemented
80#16839644C2211yescharacteristic, complemented
81#16839644C2211yescharacteristic, complemented
82#16839644C2211yescharacteristic, complemented
83#16839643C2211yescharacteristic, complemented
84#16839643C2211yescharacteristic, complemented
85#16839643C2211yescharacteristic, complemented
86#16839643C2211yescharacteristic, complemented
87#16839638C2211yescharacteristic
88#16839638C2211yescharacteristic
89#16839638C2211yescharacteristic
90#16839638C2211yescharacteristic
91#16839638C2211yescharacteristic
92#16839638C2211yescharacteristic
93#16839638C2211yescharacteristic
94#16839638C2211yescharacteristic
95#16839638C2211yescharacteristic
96#16839638C2211yescharacteristic
97#16839638C2211yescharacteristic
98#16839638C2211yescharacteristic
99#16839638C2211yescharacteristic
100#16839638C2211yescharacteristic
101#16839638C2211yescharacteristic
102#16839638C2211yescharacteristic
103#16839637C2211yescharacteristic
104#16839637C2211yescharacteristic
105#16839636C2211yescharacteristic, complemented
106#16839636C2211yescharacteristic, complemented
107#16839636C2211yescharacteristic, complemented
108#16839636C2211yescharacteristic, complemented
109#16839635C2211yescharacteristic
110#16839635C2211yescharacteristic
111#16839634C2211yescharacteristic
112#16839634C2211yescharacteristic
113#16839633C2211yescharacteristic, complemented
114#16839633C2211yescharacteristic, complemented
115#16839633C2211yescharacteristic, complemented
116#16839633C2211yescharacteristic, complemented
117#16839629C2211yescharacteristic, complemented
118#16839629C2211yescharacteristic, complemented
119#16839629C2211yescharacteristic, complemented
120#16839629C2211yescharacteristic, complemented
121#16839627C2211yescharacteristic, complemented
122#16839627C2211yescharacteristic, complemented
123#16839626C2211yescharacteristic, complemented
124#16839626C2211yescharacteristic, complemented
125#16839625C2211yescharacteristic, complemented
126#16839623C2211yescharacteristic
127#16839623C2211yescharacteristic
128#16839623C2211yescharacteristic, complemented
129#16839623C2211yescharacteristic, complemented
130#16839622C2211yescharacteristic, complemented
131#16839621C2211yescharacteristic, complemented
132#16839621C2211yescharacteristic, complemented
133#16839620C2211yescharacteristic, complemented
134#16839620C2211yescharacteristic, complemented
135#16839619C2211yescharacteristic, complemented
136#16839619C2211yescharacteristic, complemented
137#16839618C2211yescharacteristic
138C4⋊C4×Dic61C2211yescharacteristic, complemented
139C4⋊C4×Dic61C2211yescharacteristic, complemented
140C4×#11758196C2211yescharacteristic, complemented
141C4×#11758196C2211yescharacteristic, complemented
142C22⋊C4×Dic61C2211yescharacteristic
143C22⋊C4×Dic61C2211yescharacteristic
144C22⋊C4×Dic61C2211yescharacteristic
145C22⋊C4×Dic61C2211yescharacteristic
146C22⋊C4×Dic61C2211yescharacteristic, complemented
147C22⋊C4×Dic61C2211yescharacteristic, complemented
148C4×#11758198C2211yescharacteristic, complemented
149C4×#11758198C2211yescharacteristic, complemented
150C4×#11758198C2211yescharacteristic, complemented
151C4×#11758198C2211yescharacteristic, complemented
152C4×#11758198C2211yescharacteristic, complemented
153C4×#11758198C2211yescharacteristic, complemented
154C4×C22⋊Dic61C2211yescharacteristic
155C4×C22⋊Dic61C2211yescharacteristic
156C4×C22⋊Dic61C2211yescharacteristic, complemented
157#16839609C2211yescharacteristic, complemented
158#16839609C2211yescharacteristic, complemented
159#16839609C2211yescharacteristic, complemented
160#16839609C2211yescharacteristic, complemented
161#16839609C2211yescharacteristic, complemented
162#16839609C2211yescharacteristic, complemented
163#16839608C2211yescharacteristic, complemented
164#16839608C2211yescharacteristic, complemented
165#16839607C2211yescharacteristic, complemented
166#16839607C2211yescharacteristic, complemented
167C2×#14519684C2211yescharacteristic
168C2×#14519684C2211yescharacteristic
169#95×D61C2211yescharacteristic, complemented
170#95×D61C2211yescharacteristic, complemented
171#95×D61C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173C2×#117×C61C2211yescharacteristic, complemented
174C22×C22⋊C4×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C61×#388C2211yescharacteristic, complemented
177C61×#388C2211yescharacteristic, complemented
178C61×#388C2211yescharacteristic, complemented
179C61×#388C2211yescharacteristic, complemented
180C61×#385C2211yescharacteristic
181C61×#385C2211yescharacteristic
182C61×#381C2211yescharacteristic, complemented
183C61×#380C2211yescharacteristic, complemented
184C61×#379C2211yescharacteristic
185C4×C22⋊C4×C61C2211yescharacteristic
186C4×C22⋊C4×C61C2211yescharacteristic
187C4×C22⋊C4×C61C2211yescharacteristic, complemented
188C24×D61C2311yescharacteristic
189C22×C22⋊D61—24no—
190C22×C22⋊D61—24no—
191C22×C22⋊D61C2×C418yes—
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C23×Dic61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C22×C4×D61—24no—
202C22×C4×D61—42no—
203C22×C4×D61—42no—
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C4×C22⋊D61C2×C418yescomplemented
217C4×C22⋊D61C2×C418yescomplemented
218C4×C22⋊D61C2×C418yescomplemented
219C4×C22⋊D61C2×C418yescomplemented
220#14519737C2×C418yescomplemented
221#14519737C2×C418yescomplemented
222#14519737C2×C418yescomplemented
223#14519737C2×C418yescomplemented
224#14519736—42no—
225#14519733—42no—
226#14519733—42no—
227#14519733C2×C418yescomplemented
228#14519733C2×C418yescomplemented
229C2×C4⋊Dic61C2311yescharacteristic
230C2×C4⋊Dic61C2311yescharacteristic
231C2×C4⋊Dic61C2311yescharacteristic
232C2×C4⋊Dic61C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C4⋊C4×D61—42no—
246C4⋊C4×D61—42no—
247C2×C22⋊Dic61—42no—
248C2×C22⋊Dic61C2×C418yescomplemented
249C2×C22⋊Dic61C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×#11758198—24no—
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C22⋊C4×D61—24no—
277C22⋊C4×D61—24no—
278C22⋊C4×D61C2×C418yes—
279C22⋊C4×D61C2×C418yes—
280C2×C4×Dic61C2311yescharacteristic
281C2×C4×Dic61C2311yescharacteristic
282C2×C4×Dic61C2311yescharacteristic
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
294C2×C4×Dic61C2311yescharacteristic
295C2×C4×Dic61C2311yescharacteristic
296C42×D61—42no—
297C42×D61—42no—
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
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338C25×C61C2311yescharacteristic
339C23×C4×C61C2311yescharacteristic
340C23×C4×C61C2311yescharacteristic
341C23×C4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343#117×C61—42no—
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61—42no—
349C2×C22⋊C4×C61C2×C418yescomplemented
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C42×C61C2311yescharacteristic
365C2×C42×C61C2311yescharacteristic
366C2×C42×C61C2311yescharacteristic
367C2×C42×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×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
386C23×D61—41no—
387C23×D61—41no—
388C23×D61—41no—
389C23×D61—41no—
390C23×D61C22×C414yes—
391C23×D61#4114yes—
392C23×D61#4114yes—
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C22×C4×C61—22no—
396C22×C4×C61—22no—
397C22×C4×C61—22no—
398C22×C4×C61—41no—
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×C61C22×C414yescomplemented
406C22×C4×C61C22×C414yescomplemented
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
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C2×C22⋊D61—232no—
420C2×C22⋊D61—22no—
421C2×C22⋊D61—22no—
422C2×C22⋊D61—22no—
423C2×C22⋊D61—22no—
424C2×C22⋊D61—22no—
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61C22×C414yes—
429C2×C22⋊D61C22×C414yes—
430C2×C22⋊D61C22×C414yes—
431C2×C22⋊D61C22×C414yes—
432C22×Dic61—22no—
433C22×Dic61—22no—
434C22×Dic61—22no—
435C22×Dic61—22no—
436C22×Dic61—22no—
437C22×Dic61—41no—
438C22×Dic61—41no—
439C22×Dic61—41no—
440C22×Dic61—41no—
441C22×Dic61—41no—
442C22×Dic61—41no—
443C22×Dic61—41no—
444C22×Dic61C22×C414yes—
445C22×Dic61C22×C414yescomplemented
446C22×Dic61C22×C414yescomplemented
447C22×Dic61C2411yescharacteristic
448C22×Dic61C2411yescharacteristic
449C22×Dic61C2411yescharacteristic
450C22×Dic61C2411yescharacteristic
451C22×Dic61C2411yescharacteristic
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C2×C4×D61—22no—
462C2×C4×D61—22no—
463C2×C4×D61—22no—
464C2×C4×D61—22no—
465C2×C4×D61—22no—
466C2×C4×D61—22no—
467C2×C4×D61—22no—
468C2×C4×D61—22no—
469C2×C4×D61—22no—
470C2×C4×D61—22no—
471C2×C4×D61—22no—
472C2×C4×D61—22no—
473C2×C4×D61—416no—
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×D61—41no—
484C2×C4×D61—41no—
485C2×C4×D61—41no—
486C2×C4×D61—41no—
487C2×C4×D61—41no—
488C2×C4×D61—41no—
489C2×C4×D61—41no—
490C2×C4×D61—41no—
491C2×C4×D61—41no—
492C2×C4×D61—41no—
493C2×C4×D61—41no—
494C2×C4×D61C22×C414yes—
495C2×C4×D61C22×C414yes—
496C2×C4×D61C22×C414yes—
497C2×C4×D61C22×C414yes—
498C4⋊C4×C61—22no—
499C4⋊C4×C61—41no—
500C4⋊C4×C61—41no—
501C4⋊C4×C61—41no—
502C22⋊C4×C61—22no—
503C22⋊C4×C61—22no—
504C22⋊C4×C61—22no—
505C22⋊C4×C61—22no—
506C22⋊C4×C61—41no—
507C22⋊C4×C61—41no—
508C22⋊C4×C61—41no—
509C22⋊C4×C61—41no—
510C22⋊C4×C61—41no—
511C22⋊C4×C61—41no—
512C22⋊C4×C61C22×C414yes—
513C22⋊C4×C61C22×C414yes—
514C22⋊C4×C61C22×C414yescomplemented
515C22⋊C4×C61C22×C414yescomplemented
516C42×C61—22no—
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⋊Dic61C22×C414yes—
531C22⋊Dic61C22×C414yes—
532C22⋊Dic61C22×C414yescomplemented
533C22⋊Dic61C22×C414yescomplemented
534#11758198—22no—
535#11758198—22no—
536#11758198—22no—
537#11758198—22no—
538#11758198—22no—
539#11758198—22no—
540#11758198—22no—
541#11758198—22no—
542#11758198C22×C414yes—
543#11758198C22×C414yes—
544#11758198C22×C414yes—
545#11758198C22×C414yes—
546C4⋊Dic61—22no—
547C4⋊Dic61—41no—
548C4⋊Dic61—41no—
549C4⋊Dic61—41no—
550#11758196—22no—
551#11758196—22no—
552#11758196—41no—
553#11758196—41no—
554#11758196—41no—
555#11758196—41no—
556#11758196—41no—
557#11758196—41no—
558#11758196C22×C414yescomplemented
559#11758196C22×C414yescomplemented
560#11758196C22×C414yescomplemented
561#11758196C22×C414yescomplemented
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×Dic61C22×C414yescomplemented
575C4×Dic61C22×C414yescomplemented
576C4×Dic61C22×C414yescomplemented
577C4×Dic61C22×C414yescomplemented
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×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—28no—
595C23×C61—44no—
596C23×C61—44no—
597C23×C61—82no—
598C23×C61—82no—
599C23×C61—82no—
600C23×C61—82no—
601C23×C61C23×C412yes—
602C23×C61C23×C412yes—
603C23×C61C23×C412yes—
604C23×C61C2×#4112yes—
605C23×C61C2×#4112yes—
606C23×C61C2511yescharacteristic
607C22×D61—21no—
608C22×D61—21no—
609C22×D61—21no—
610C22×D61—21no—
611C22×D61—21no—
612C22×D61—21no—
613C22×D61—21no—
614C22×D61—21no—
615C22×D61—44no—
616C22×D61—44no—
617C22×D61—44no—
618C22×D61—44no—
619C22×D61—44no—
620C22×D61—44no—
621C22×D61#117116yescomplemented
622C22×D61C23×C412yes—
623C22×D61C23×C412yes—
624C22×D61C2×#4112yes—
625C22×D61C2×#4112yes—
626C22×D61C2×#4112yes—
627C22×D61C2×#4112yes—
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—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—44no—
660C2×C4×C61—44no—
661C2×C4×C61—44no—
662C2×C4×C61—82no—
663C2×C4×C61C23×C412yes—
664C2×C4×C61C23×C412yes—
665C2×C4×C61C23×C412yes—
666C2×C4×C61C23×C412yes—
667C2×C4×C61H(5,𝔽2)12yes—
668C22⋊D61—28no—
669C22⋊D61—28no—
670C22⋊D61—28no—
671C22⋊D61—28no—
672C2×Dic61—28no—
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—21no—
707C2×Dic61—21no—
708C2×Dic61—44no—
709C2×Dic61—44no—
710C2×Dic61—44no—
711C2×Dic61—82no—
712C2×Dic61C23×C412yes—
713C2×Dic61C23×C412yes—
714C2×Dic61C23×C412yes—
715C2×Dic61C23×C412yes—
716C2×Dic61C23×C412yes—
717C2×Dic61C23×C412yes—
718C2×Dic61H(5,𝔽2)12yes—
719C4×D61—28no—
720C4×D61—44no—
721C4×D61—44no—
722C4×D61—44no—
723C4×D61—44no—
724C4×D61—44no—
725C4×D61—44no—
726C4×D61—44no—
727C4×D61—44no—
728C4×D61—44no—
729C4×D61—82no—
730C4×D61—82no—
731#34251—611nomaximal, Sylow
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—41no—
745C22×C61—41no—
746C22×C61—41no—
747C22×C61—41no—
748C22×C61—41no—
749C22×C61—41no—
750C22×C61—41no—
751C22×C61—41no—
752C22×C61—88no—
753C22×C61C2×#11714yes—
754C22×C61C24×C411yescharacteristic
755C22×C61C22×#4111yescharacteristic
756C22×C61C22×#4111yescharacteristic
757C22×C61C2×H(5,𝔽2)11yescharacteristic
758C22×C61C2×H(5,𝔽2)11yescharacteristic
759C22×C61#58511yescharacteristic
760C22×C61#58511yescharacteristic
761C2×D61—22no—
762C2×D61—22no—
763C2×D61—22no—
764C2×D61—22no—
765C2×D61—22no—
766C2×D61—22no—
767C2×D61—22no—
768C2×D61—22no—
769C2×D61—22no—
770C2×D61—22no—
771C2×D61—22no—
772C2×D61—22no—
773C2×D61—416no—
774C2×D61C2×#11714yes—
775C2×D61C2×#11714yes—
776C4×C61—22no—
777C4×C61—22no—
778C4×C61—22no—
779C4×C61—22no—
780C4×C61—22no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61—41no—
787C4×C61—41no—
788Dic61—22no—
789Dic61—22no—
790Dic61—22no—
791Dic61—22no—
792Dic61—22no—
793Dic61—22no—
794Dic61—22no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801Dic61—41no—
802C2×#518—611no—
803#2353—611no—
804#2353—611no—
805#2353—611no—
806#2353—611no—
807#2352—611no—
808#2352—611no—
809#2352—611no—
810#2352—611no—
811#2343—611no—
812#2343—611no—
813#2343—611no—
814#2343—611no—
815#2342—611no—
816#2342—611no—
817#2342—611no—
818#2342D6111yescharacteristic, complemented
819#2318—611no—
820#2318—611no—
821#2318—611no—
822#2318—611no—
823#2315—611no—
824#2308—611no—
825#2290—611no—
826#2290—611no—
827#2290—611no—
828#2290—611no—
829C2×#386—611no—
830C2×#385—611no—
831#2273—611no—
832C2×C4×C22⋊C4—611no—
833C2×C61—24no—
834C2×C61—42no—
835C2×C61—42no—
836C2×C61C22×#11711yescharacteristic
837C2×C61C4×H(5,𝔽2)11yescharacteristic
838C2×C61C4×H(5,𝔽2)11yescharacteristic
839C2×C61#349011yescharacteristic
840C2×C61#349111yescharacteristic
841C2×C61#350511yescharacteristic
842C2×C61#350511yescharacteristic
843D61—24no—
844D61—24no—
845C23×D4—611no—
846C24×C4—611no—
847#518—6116no—
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×#117—611no—
857C2×#117—611no—
858C2×#117—611no—
859C2×#117—611no—
860C2×#117—611no—
861C2×#117C2×D6111yescharacteristic, complemented
862C22×C4⋊C4—611no—
863C22×C4⋊C4—611no—
864C22×C22⋊C4—611no—
865C22×C22⋊C4—611no—
866C22×C22⋊C4—611no—
867C22×C22⋊C4—611no—
868C22×C22⋊C4—611no—
869C22×C22⋊C4—611no—
870C22×C22⋊C4—611no—
871C22×C22⋊C4C2×D6111yescharacteristic
872C22×C22⋊C4C2×D6111yescharacteristic
873C22×C42—611no—
874C22×C42—611no—
875#388—611no—
876#388—611no—
877#388—611no—
878#388—611no—
879#388—611no—
880#388—611no—
881#388—611no—
882#388—611no—
883#388—611no—
884#388—611no—
885#388—611no—
886#388—611no—
887#388C2×D6111yescharacteristic, complemented
888#388C2×D6111yescharacteristic, complemented
889#388C2×D6111yescharacteristic, complemented
890#388C2×D6111yescharacteristic, complemented
891#387—611no—
892#387—611no—
893#387—611no—
894#387—611no—
895#387—611no—
896#387—611no—
897#387—611no—
898#387—611no—
899#387—611no—
900#387—611no—
901#387—611no—
902#387—611no—
903#387—611no—
904#387—611no—
905#387—611no—
906#387—611no—
907#386—611no—
908#386—611no—
909#386—611no—
910#386—611no—
911#386—611no—
912#386—611no—
913#386—611no—
914#386—611no—
915#386—611no—
916#386—611no—
917#386—611no—
918#386—611no—
919#386—611no—
920#386—611no—
921#386—611no—
922#386—611no—
923#385—611no—
924#385—611no—
925#385—611no—
926#385—611no—
927#385—611no—
928#385—611no—
929#385—611no—
930#385—611no—
931#385—611no—
932#385—611no—
933#385—611no—
934#385—611no—
935#385—611no—
936#385—611no—
937#385C2×D6111yescharacteristic
938#385C2×D6111yescharacteristic
939#383—611no—
940#383—611no—
941#383—611no—
942#383—611no—
943#382—611no—
944#382—611no—
945#382—611no—
946#382—611no—
947#381—611no—
948#381—611no—
949#381—611no—
950#381—611no—
951#381—611no—
952#381C2×D6111yescharacteristic, complemented
953#380—611no—
954#380—611no—
955#380—611no—
956#380—611no—
957#380—611no—
958#380—611no—
959#380—611no—
960#380C2×D6111yescharacteristic, complemented
961#379—611no—
962#379C2×D6111yescharacteristic
963C4×C4⋊C4—611no—
964C4×C4⋊C4—611no—
965C4×C4⋊C4—611no—
966C4×C4⋊C4—611no—
967C4×C22⋊C4—611no—
968C4×C22⋊C4—611no—
969C4×C22⋊C4—611no—
970C4×C22⋊C4—611no—
971C4×C22⋊C4—611no—
972C4×C22⋊C4—611no—
973C4×C22⋊C4—611no—
974C4×C22⋊C4—611no—
975C4×C22⋊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—
986C4×C22⋊C4—611no—
987C4×C22⋊C4—611no—
988C4×C22⋊C4C2×D6111yescharacteristic
989C4×C22⋊C4C2×D6111yescharacteristic
990C4×C22⋊C4C2×D6111yescharacteristic, complemented
991#376—611no—
992#376—611no—
993#376—611no—
994#376—611no—
995C2×#95—611no—
996C2×#95—611no—
997C2×#95—611no—
998C2×#95—611no—
999C2×#95—611no—
1000C2×#95—611no—
1001C61#3425111yescharacteristic, complemented, Sylow
1002C25—611no—
1003C25C22×D6111yescharacteristic
1004C22×D4—618no—
1005C22×D4—611no—
1006C22×D4—611no—
1007C22×D4—611no—
1008C22×D4—611no—
1009C22×D4—1224no—
1010C22×D4—1224no—
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—611no—
1020C23×C4—611no—
1021C23×C4—611no—
1022C23×C4—611no—
1023C23×C4—611no—
1024C23×C4—611no—
1025C23×C4—611no—
1026C23×C4—611no—
1027C23×C4—611no—
1028C23×C4—1224no—
1029C23×C4—2442no—
1030C23×C4—2442no—
1031C23×C4C22×D6111yescharacteristic
1032C23×C4C22×D6111yescharacteristic
1033C23×C4C22×D6111yescharacteristic
1034C23×C4C22×D6111yescharacteristic
1035C4×D4—618no—
1036C4×D4—618no—
1037C4×D4—618no—
1038C4×D4—618no—
1039C4×D4—618no—
1040C4×D4—618no—
1041C4×D4—618no—
1042C4×D4—618no—
1043#117—42no—
1044#117—618no—
1045#117—618no—
1046#117—2442no—
1047#117—2442no—
1048#117—2442no—
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—2442no—
1066C2×C4⋊C4—2442no—
1067C2×C4⋊C4C22×D6111yescharacteristic
1068C2×C4⋊C4C22×D6111yescharacteristic
1069C2×C4⋊C4C22×D6111yescharacteristic
1070C2×C4⋊C4C22×D6111yescharacteristic
1071C2×C22⋊C4—42no—
1072C2×C22⋊C4—618no—
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—618no—
1082C2×C22⋊C4—618no—
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—1224no—
1102C2×C22⋊C4—1224no—
1103C2×C22⋊C4—1224no—
1104C2×C22⋊C4—2442no—
1105C2×C22⋊C4C4×D6118yescomplemented
1106C2×C22⋊C4C22×D6111yescharacteristic
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×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—611no—
1136C2×C42—2442no—
1137C2×C42—2442no—
1138C2×C42C22×D6111yescharacteristic
1139C2×C42C22×D6111yescharacteristic
1140C2×C42C22×D6111yescharacteristic
1141C2×C42C22×D6111yescharacteristic
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#95—611no—
1180#95—611no—
1181#95—611no—
1182#95C22×D6111yescharacteristic
1183#95C22×D6111yescharacteristic
1184#95C22×D6111yescharacteristic
1185#95C22×D6111yescharacteristic
1186#95C22×D6111yescharacteristic
1187#95C22×D6111yescharacteristic
1188#95C22×D6111yescharacteristic
1189#95C22×D6111yescharacteristic
1190C24—22no—
1191C24—22no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—41no—
1196C24—611no—
1197C24—611no—
1198C24—614no—
1199C24—614no—
1200C24—614no—
1201C24—2441no—
1202C24—2441no—
1203C24—2441no—
1204C24—2441no—
1205C24C2×C4×D6114yes—
1206C24C23×D6111yescharacteristic
1207C24C23×D6111yescharacteristic
1208C24C23×D6111yescharacteristic
1209C2×D4—614no—
1210C2×D4—614no—
1211C2×D4—614no—
1212C2×D4—614no—
1213C2×D4—12232no—
1214C2×D4—1222no—
1215C2×D4—1222no—
1216C2×D4—1222no—
1217C2×D4—1222no—
1218C2×D4—1222no—
1219C2×D4—1222no—
1220C2×D4—1222no—
1221C2×D4—1222no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—614no—
1233C22×C4—611no—
1234C22×C4—611no—
1235C22×C4—611no—
1236C22×C4—611no—
1237C22×C4—611no—
1238C22×C4—611no—
1239C22×C4—611no—
1240C22×C4—614no—
1241C22×C4—614no—
1242C22×C4—614no—
1243C22×C4—614no—
1244C22×C4—614no—
1245C22×C4—614no—
1246C22×C4—611no—
1247C22×C4—611no—
1248C22×C4—611no—
1249C22×C4—611no—
1250C22×C4—611no—
1251C22×C4—611no—
1252C22×C4—611no—
1253C22×C4—1222no—
1254C22×C4—1222no—
1255C22×C4—1222no—
1256C22×C4—1222no—
1257C22×C4—1222no—
1258C22×C4—1222no—
1259C22×C4—1222no—
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—1222no—
1269C22×C4—1222no—
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—2441no—
1288C22×C4—2441no—
1289C22×C4—2441no—
1290C22×C4—24416no—
1291C22×C4—2441no—
1292C22×C4—2441no—
1293C22×C4—2441no—
1294C22×C4—2441no—
1295C22×C4—2441no—
1296C22×C4—2441no—
1297C22×C4—2441no—
1298C22×C4C2×C4×D6114yescomplemented
1299C22×C4C2×C4×D6114yescomplemented
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
1309C22×C4C23×D6111yescharacteristic
1310C22×C4C23×D6111yescharacteristic
1311C22×C4C23×D6111yescharacteristic
1312C4⋊C4—22no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—614no—
1317C4⋊C4—614no—
1318C4⋊C4—614no—
1319C4⋊C4—614no—
1320C4⋊C4—1222no—
1321C4⋊C4—1222no—
1322C4⋊C4—1222no—
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—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—614no—
1343C22⋊C4—614no—
1344C22⋊C4—614no—
1345C22⋊C4—614no—
1346C22⋊C4—614no—
1347C22⋊C4—614no—
1348C22⋊C4—614no—
1349C22⋊C4—614no—
1350C22⋊C4—1222no—
1351C22⋊C4—1222no—
1352C22⋊C4—1222no—
1353C22⋊C4—1222no—
1354C22⋊C4—1222no—
1355C22⋊C4—1222no—
1356C22⋊C4—1222no—
1357C22⋊C4—1222no—
1358C22⋊C4—1222no—
1359C22⋊C4—1222no—
1360C22⋊C4—1222no—
1361C22⋊C4—1222no—
1362C22⋊C4—2441no—
1363C22⋊C4—2441no—
1364C22⋊C4—2441no—
1365C22⋊C4—2441no—
1366C22⋊C4—2441no—
1367C22⋊C4—2441no—
1368C22⋊C4C2×C4×D6114yes—
1369C22⋊C4C2×C4×D6114yes—
1370C22⋊C4C2×C4×D6114yescomplemented
1371C22⋊C4C2×C4×D6114yescomplemented
1372C42—22no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—614no—
1377C42—614no—
1378C42—614no—
1379C42—614no—
1380C42—1222no—
1381C42—1222no—
1382C42—1222no—
1383C42—2441no—
1384C42—2441no—
1385C42—2441no—
1386C42—2441no—
1387C42—2441no—
1388C42—2441no—
1389C42—2441no—
1390C42—2441no—
1391C42—2441no—
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—21no—
1407C23—21no—
1408C23—28no—
1409C23—44no—
1410C23—44no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23—82no—
1415C23—612no—
1416C23—612no—
1417C23—612no—
1418C23—612no—
1419C23—612no—
1420C23—612no—
1421C23—6116no—
1422C23—1221no—
1423C23—1221no—
1424C23—1221no—
1425C23—1221no—
1426C23—1221no—
1427C23—1221no—
1428C23—1221no—
1429C23—1221no—
1430C23—2444no—
1431C23—2444no—
1432C23—2444no—
1433C23—2444no—
1434C23—2444no—
1435C23—2444no—
1436C23C22×C4×D6112yes—
1437C23C22×C4×D6112yes—
1438C23C22×C4×D6112yes—
1439C23#41×D6112yes—
1440C23#41×D6112yes—
1441C23C24×D6111yescharacteristic
1442D4—1228no—
1443D4—1228no—
1444D4—1228no—
1445D4—1228no—
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—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—82no—
1481C2×C4—612no—
1482C2×C4—612no—
1483C2×C4—612no—
1484C2×C4—612no—
1485C2×C4—612no—
1486C2×C4—612no—
1487C2×C4—612no—
1488C2×C4—1228no—
1489C2×C4—1228no—
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—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—4882no—
1526C2×C4—4882no—
1527C2×C4—4882no—
1528C2×C4—2444no—
1529C2×C4—2444no—
1530C2×C4—2444no—
1531C2×C4—2444no—
1532C2×C4—2444no—
1533C2×C4—2444no—
1534C2×C4—2444no—
1535C2×C4—2444no—
1536C2×C4—2444no—
1537C2×C4—2444no—
1538C2×C4—2444no—
1539C2×C4—2444no—
1540C2×C4C22×C4×D6112yes—
1541C2×C4C22×C4×D6112yes—
1542C2×C4C22×C4×D6112yes—
1543C2×C4C22×C4×D6112yes—
1544C2×C4#1451982212yes—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—88no—
1566C22—614no—
1567C22—614no—
1568C22—1222no—
1569C22—1222no—
1570C22—1222no—
1571C22—1222no—
1572C22—1222no—
1573C22—1222no—
1574C22—1222no—
1575C22—1222no—
1576C22—1222no—
1577C22—1222no—
1578C22—1222no—
1579C22—1222no—
1580C22—24416no—
1581C22#117×D6114yes—
1582C22C23×C4×D6111yescharacteristic
1583C22C2×#41×D6111yescharacteristic
1584C22C2×#41×D6111yescharacteristic
1585C22H(5,𝔽2)×D6111yescharacteristic
1586C22C2×#1451982211yescharacteristic
1587C22#1684059711yescharacteristic
1588C22#1684059811yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—1222no—
1602C4—1222no—
1603C4—1222no—
1604C4—1222no—
1605C4—1222no—
1606C4—1222no—
1607C4—1222no—
1608C4—2441no—
1609C4—2441no—
1610C4—2441no—
1611C4—2441no—
1612C4—2441no—
1613C4—2441no—
1614C4—2441no—
1615C2—24no—
1616C2—42no—
1617C2—42no—
1618C2—1224no—
1619C2—1224no—
1620C2C2×#117×D6111yescharacteristic
1621C2#2145902311yescharacteristic
1622C2C4×#1451982211yescharacteristic
1623C2#2145950111yescharacteristic
1624C2#2145951011yescharacteristic
1625C2#2145964611yescharacteristic
1626C2#2145965011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2342C2
socle, cosocleC23×C61C25
prime radicalC23×C22⋊D61C22
hypercenter#2342D61
hypocenterC61#34251
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #21448762C2semidirect
3. #21448756C2semidirect
4. #21448754C2semidirect
5. #21448754C2semidirect
6. #21448749C2semidirect
7. #21448747C2semidirect
8. #21448747C2semidirect
9. #21448741C2semidirect
10. #21448677C2semidirect
11. #21448677C2semidirect
12. #21448673C2semidirect
13. #21448673C2semidirect
14. #21448670C2semidirect
15. #21448668C2semidirect
16. #21448664C2semidirect
17. #21448454C2semidirect
18. #21448449C2semidirect
19. #21448449C2semidirect
20. #21448448C2semidirect
21. #21448430C2semidirect
23. #21448265C2semidirect
24. #21448261C2semidirect
25. #21448261C2semidirect
26. #21448256C2semidirect
28. #385×D61C2semidirect
29. #21448171C2semidirect
30. C4×C22⋊C4×D61C2semidirect
31. C61×#2342C2semidirect
34. #16840235C4semidirect
43. C2×#14519736C22semidirect
46. C2×#14519733C22semidirect
47. C2×#14519733C22semidirect
48. C2×C4⋊C4×D61C22semidirect
49. C2×C4⋊C4×D61C22semidirect
57. C2×C42×D61C22semidirect
58. C2×C42×D61C22semidirect
59. #16839656C22semidirect
60. #16839656C22semidirect
61. #16839656C22semidirect
62. #16839656C22semidirect
63. #16839655C22semidirect
64. #16839655C22semidirect
65. #16839655C22semidirect
66. #16839655C22semidirect
67. #16839650C22semidirect
68. #16839650C22semidirect
69. #16839650C22semidirect
70. #16839650C22semidirect
71. #16839649C22semidirect
72. #16839649C22semidirect
73. #16839649C22semidirect
74. #16839649C22semidirect
75. #16839646C22semidirect
76. #16839646C22semidirect
77. #16839646C22semidirect
78. #16839646C22semidirect
79. #16839644C22semidirect
80. #16839644C22semidirect
81. #16839644C22semidirect
82. #16839644C22semidirect
83. #16839643C22semidirect
84. #16839643C22semidirect
85. #16839643C22semidirect
86. #16839643C22semidirect
105. #16839636C22semidirect
106. #16839636C22semidirect
107. #16839636C22semidirect
108. #16839636C22semidirect
113. #16839633C22semidirect
114. #16839633C22semidirect
115. #16839633C22semidirect
116. #16839633C22semidirect
117. #16839629C22semidirect
118. #16839629C22semidirect
119. #16839629C22semidirect
120. #16839629C22semidirect
121. #16839627C22semidirect
122. #16839627C22semidirect
123. #16839626C22semidirect
124. #16839626C22semidirect
125. #16839625C22semidirect
128. #16839623C22semidirect
129. #16839623C22semidirect
130. #16839622C22semidirect
131. #16839621C22semidirect
132. #16839621C22semidirect
133. #16839620C22semidirect
134. #16839620C22semidirect
135. #16839619C22semidirect
136. #16839619C22semidirect
138. C4⋊C4×Dic61C22semidirect
139. C4⋊C4×Dic61C22semidirect
140. C4×#11758196C22semidirect
141. C4×#11758196C22semidirect
146. C22⋊C4×Dic61C22semidirect
147. C22⋊C4×Dic61C22semidirect
148. C4×#11758198C22semidirect
149. C4×#11758198C22semidirect
150. C4×#11758198C22semidirect
151. C4×#11758198C22semidirect
152. C4×#11758198C22semidirect
153. C4×#11758198C22semidirect
156. C4×C22⋊Dic61C22semidirect
157. #16839609C22semidirect
158. #16839609C22semidirect
159. #16839609C22semidirect
160. #16839609C22semidirect
161. #16839609C22semidirect
162. #16839609C22semidirect
163. #16839608C22semidirect
164. #16839608C22semidirect
165. #16839607C22semidirect
166. #16839607C22semidirect
169. #95×D61C22semidirect
170. #95×D61C22semidirect
171. #95×D61C22semidirect
172. #95×D61C22semidirect
173. C2×#117×C61C22semidirect
176. C61×#388C22semidirect
177. C61×#388C22semidirect
178. C61×#388C22semidirect
179. C61×#388C22semidirect
182. C61×#381C22semidirect
183. C61×#380C22semidirect
187. C4×C22⋊C4×C61C22semidirect
216. C4×C22⋊D61C2×C4semidirect
217. C4×C22⋊D61C2×C4semidirect
218. C4×C22⋊D61C2×C4semidirect
219. C4×C22⋊D61C2×C4semidirect
220. #14519737C2×C4semidirect
221. #14519737C2×C4semidirect
222. #14519737C2×C4semidirect
223. #14519737C2×C4semidirect
227. #14519733C2×C4semidirect
228. #14519733C2×C4semidirect
248. C2×C22⋊Dic61C2×C4semidirect
349. C2×C22⋊C4×C61C2×C4semidirect
405. C22×C4×C61C22×C4semidirect
406. C22×C4×C61C22×C4semidirect
445. C22×Dic61C22×C4semidirect
446. C22×Dic61C22×C4semidirect
514. C22⋊C4×C61C22×C4semidirect
515. C22⋊C4×C61C22×C4semidirect
532. C22⋊Dic61C22×C4semidirect
533. C22⋊Dic61C22×C4semidirect
558. #11758196C22×C4semidirect
559. #11758196C22×C4semidirect
560. #11758196C22×C4semidirect
561. #11758196C22×C4semidirect
574. C4×Dic61C22×C4semidirect
575. C4×Dic61C22×C4semidirect
576. C4×Dic61C22×C4semidirect
577. C4×Dic61C22×C4semidirect
621. C22×D61#117semidirect
818. #2342D61semidirect
861. C2×#117C2×D61semidirect
887. #388C2×D61semidirect
888. #388C2×D61semidirect
889. #388C2×D61semidirect
890. #388C2×D61semidirect
952. #381C2×D61semidirect
960. #380C2×D61semidirect
990. C4×C22⋊C4C2×D61semidirect
1001. C61#34251semidirect
1105. C2×C22⋊C4C4×D61semidirect
1298. C22×C4C2×C4×D61semidirect
1299. C22×C4C2×C4×D61semidirect
1370. C22⋊C4C2×C4×D61semidirect
1371. C22⋊C4C2×C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168402352
#214487622
#214487562
#214487542
#214487492
#214487472
#214487412
#214486772
#214486732
#214486702
#214486682
#214486642
#214484542
#214484492
#214484482
#214484302
#214483952
#214482652
#214482612
#214482562
C2×#168396382
#385×D612
#214481712
C4×C22⋊C4×D612
C61×#23422
#3425161