Finite Group Databasebeta

← #29840645

Subgroups — #29840645

Order 15616.

2726 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#21448900C211yesmaximal, characteristic, complemented
3#21448897C211yesmaximal, characteristic, complemented
4#21448867C211yesmaximal, characteristic, complemented
5#21448864C211yesmaximal, characteristic, complemented
6#21448803C211yesmaximal, characteristic, complemented
7#21448798C211yesmaximal, characteristic, complemented
8#21448798C211yesmaximal, characteristic, complemented
9#21448791C211yesmaximal, characteristic, complemented
10#21448789C211yesmaximal, characteristic, complemented
11#21448757C211yesmaximal, characteristic, complemented
12#21448754C211yesmaximal, characteristic, complemented
13#21448677C211yesmaximal, characteristic, complemented
14#21448673C211yesmaximal, characteristic, complemented
15#21448645C211yesmaximal, characteristic, complemented
16#21448644C211yesmaximal, characteristic, complemented
17#21448585C211yesmaximal, characteristic, complemented
18#21448578C211yesmaximal, characteristic, complemented
19#21448576C211yesmaximal, characteristic, complemented
20#21448569C211yesmaximal, characteristic, complemented
21#21448447C211yesmaximal, characteristic, complemented
22#21448445C211yesmaximal, characteristic, complemented
23#21448344C211yesmaximal, characteristic, complemented
24C4×#14519761C211yesmaximal, characteristic, complemented
25#21448338C211yesmaximal, characteristic, complemented
26C4×#14519758C211yesmaximal, characteristic, complemented
27C2×#16839623C211yesmaximal, characteristic, complemented
28#21448180C211yesmaximal, characteristic, complemented
29#21448178C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic61C211yesmaximal, 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×C22⋊Dic61C2211yescharacteristic
54C22×C22⋊Dic61C2211yescharacteristic
55C22×C4×Dic61C2211yescharacteristic
56C22×C4×Dic61C2211yescharacteristic
57#16839668C2211yescharacteristic, complemented
58#16839667C2211yescharacteristic, complemented
59#16839666C2211yescharacteristic, complemented
60#16839666C2211yescharacteristic, complemented
61#16839665C2211yescharacteristic
62#16839662C2211yescharacteristic
63#16839662C2211yescharacteristic
64#16839656C2211yescharacteristic
65#16839656C2211yescharacteristic
66#16839656C2211yescharacteristic, complemented
67#16839656C2211yescharacteristic, complemented
68#16839655C2211yescharacteristic
69#16839655C2211yescharacteristic
70#16839654C2211yescharacteristic, complemented
71#16839654C2211yescharacteristic, complemented
72#16839652C2211yescharacteristic, complemented
73#16839652C2211yescharacteristic, complemented
74#16839650C2211yescharacteristic
75#16839650C2211yescharacteristic
76#16839650C2211yescharacteristic, complemented
77#16839650C2211yescharacteristic, complemented
78#16839649C2211yescharacteristic, complemented
79#16839649C2211yescharacteristic, complemented
80#16839649C2211yescharacteristic, complemented
81#16839649C2211yescharacteristic, complemented
82#16839647C2211yescharacteristic, complemented
83#16839647C2211yescharacteristic, complemented
84#16839646C2211yescharacteristic, complemented
85#16839646C2211yescharacteristic, complemented
86#16839645C2211yescharacteristic, complemented
87#16839645C2211yescharacteristic, complemented
88#16839644C2211yescharacteristic, complemented
89#16839644C2211yescharacteristic, complemented
90#16839643C2211yescharacteristic, complemented
91#16839643C2211yescharacteristic, complemented
92#16839643C2211yescharacteristic, complemented
93#16839643C2211yescharacteristic, complemented
94#16839642C2211yescharacteristic
95#16839642C2211yescharacteristic
96#16839642C2211yescharacteristic
97#16839641C2211yescharacteristic
98#16839641C2211yescharacteristic
99#16839641C2211yescharacteristic, complemented
100#16839639C2211yescharacteristic
101#16839639C2211yescharacteristic
102#16839639C2211yescharacteristic, complemented
103#16839638C2211yescharacteristic
104#16839638C2211yescharacteristic
105#16839638C2211yescharacteristic, complemented
106#16839638C2211yescharacteristic, complemented
107#16839637C2211yescharacteristic
108#16839637C2211yescharacteristic
109#16839635C2211yescharacteristic
110#16839635C2211yescharacteristic
111#16839634C2211yescharacteristic
112#16839634C2211yescharacteristic
113#16839629C2211yescharacteristic, complemented
114#16839629C2211yescharacteristic, complemented
115#16839627C2211yescharacteristic, complemented
116#16839626C2211yescharacteristic, complemented
117#16839624C2211yescharacteristic, complemented
118#16839623C2211yescharacteristic
119#16839623C2211yescharacteristic
120#16839623C2211yescharacteristic
121#16839623C2211yescharacteristic
122#16839623C2211yescharacteristic
123#16839623C2211yescharacteristic
124#16839623C2211yescharacteristic
125#16839623C2211yescharacteristic
126#16839623C2211yescharacteristic, complemented
127#16839620C2211yescharacteristic, complemented
128#16839619C2211yescharacteristic, complemented
129C4⋊C4×Dic61C2211yescharacteristic, complemented
130C4⋊C4×Dic61C2211yescharacteristic, complemented
131C4⋊C4×Dic61C2211yescharacteristic, complemented
132C4×#11758196C2211yescharacteristic, complemented
133C4×#11758196C2211yescharacteristic, complemented
134C4×#11758196C2211yescharacteristic, complemented
135C4×C4⋊Dic61C2211yescharacteristic, complemented
136C4×C4⋊Dic61C2211yescharacteristic, complemented
137#16839613C2211yescharacteristic, complemented
138#16839613C2211yescharacteristic, complemented
139C22⋊C4×Dic61C2211yescharacteristic
140C22⋊C4×Dic61C2211yescharacteristic
141C22⋊C4×Dic61C2211yescharacteristic
142C22⋊C4×Dic61C2211yescharacteristic
143C22⋊C4×Dic61C2211yescharacteristic
144C22⋊C4×Dic61C2211yescharacteristic
145C22⋊C4×Dic61C2211yescharacteristic
146C22⋊C4×Dic61C2211yescharacteristic
147C22⋊C4×Dic61C2211yescharacteristic
148C22⋊C4×Dic61C2211yescharacteristic
149C22⋊C4×Dic61C2211yescharacteristic
150C22⋊C4×Dic61C2211yescharacteristic
151C22⋊C4×Dic61C2211yescharacteristic, complemented
152C22⋊C4×Dic61C2211yescharacteristic, complemented
153C22⋊C4×Dic61C2211yescharacteristic, complemented
154C4×#11758198C2211yescharacteristic, complemented
155C4×#11758198C2211yescharacteristic, complemented
156C4×#11758198C2211yescharacteristic, complemented
157C4×C22⋊Dic61C2211yescharacteristic
158C4×C22⋊Dic61C2211yescharacteristic
159C4×C22⋊Dic61C2211yescharacteristic, complemented
160C4×C22⋊Dic61C2211yescharacteristic, complemented
161#16839609C2211yescharacteristic, complemented
162#16839609C2211yescharacteristic, complemented
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—24no—
222D4×Dic61—42no—
223D4×Dic61C2×C418yescomplemented
224D4×Dic61C2×C418yescomplemented
225C4×C22⋊D61—24no—
226C4×C22⋊D61—42no—
227#14519737—24no—
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×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×C22⋊Dic61—24no—
248C2×C22⋊Dic61—42no—
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×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×C4×Dic61—42no—
274C2×C4×Dic61—42no—
275C2×C4×Dic61C2311yescharacteristic
276C2×C4×Dic61C2311yescharacteristic
277C2×C4×Dic61C2311yescharacteristic
278C2×C4×Dic61C2311yescharacteristic
279C2×C4×Dic61C2311yescharacteristic
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
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—24no—
347C4×D4×C61—42no—
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61—24no—
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—22no—
402C22×C4×C61—22no—
403C22×C4×C61—22no—
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—22no—
444C22×Dic61—22no—
445C22×Dic61—22no—
446C22×Dic61—416no—
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—22no—
489C2×C4×D61—22no—
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—22no—
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—22no—
508C22⋊C4×C61—22no—
509C22⋊C4×C61—41no—
510C22⋊C4×C61—41no—
511C22⋊C4×C61—41no—
512C22⋊C4×C61—41no—
513C22⋊C4×C61C22×C414yes—
514C22⋊C4×C61C22×C414yes—
515C22⋊C4×C61C22×C414yes—
516C22⋊C4×C61#4114yescomplemented
517C42×C61—22no—
518C42×C61—41no—
519C42×C61—41no—
520C22⋊Dic61—22no—
521C22⋊Dic61—22no—
522C22⋊Dic61—22no—
523C22⋊Dic61—22no—
524C22⋊Dic61—22no—
525C22⋊Dic61—22no—
526C22⋊Dic61—41no—
527C22⋊Dic61—41no—
528C22⋊Dic61—41no—
529C22⋊Dic61—41no—
530C22⋊Dic61C22×C414yes—
531C22⋊Dic61C22×C414yes—
532C22⋊Dic61C22×C414yes—
533C22⋊Dic61C22×C414yes—
534C22⋊Dic61C22×C414yes—
535C22⋊Dic61#4114yescomplemented
536#11758198—22no—
537#11758198—22no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198C22×C414yes—
543#11758198C22×C414yes—
544C4⋊Dic61—22no—
545C4⋊Dic61—41no—
546C4⋊Dic61—41no—
547C4⋊Dic61C22×C414yes—
548C4⋊Dic61C22×C414yes—
549#11758196—22no—
550#11758196—22no—
551#11758196—41no—
552#11758196—41no—
553#11758196—41no—
554#11758196—41no—
555#11758196C22×C414yes—
556#11758196C22×C414yes—
557#11758196C22×C414yes—
558#11758196C22×C414yes—
559C4×Dic61—22no—
560C4×Dic61—22no—
561C4×Dic61—22no—
562C4×Dic61—41no—
563C4×Dic61—41no—
564C4×Dic61—41no—
565C4×Dic61—41no—
566C4×Dic61—41no—
567C4×Dic61—41no—
568C4×Dic61—41no—
569C4×Dic61—41no—
570C4×Dic61—41no—
571C4×Dic61—41no—
572C4×Dic61—41no—
573C4×Dic61—41no—
574C4×Dic61—41no—
575C4×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×C61C2×#4112yes—
610C23×C61C2×#4112yes—
611C23×C61H(5,𝔽2)12yes—
612C23×C61H(5,𝔽2)12yes—
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—44no—
653C2×C4×C61—44no—
654C2×C4×C61—82no—
655C2×C4×C61—82no—
656C2×C4×C61—82no—
657C2×C4×C61C23×C412yes—
658C2×C4×C61C23×C412yes—
659C2×C4×C61C23×C412yes—
660C2×C4×C61C2×#4112yes—
661C2×C4×C61C2×#4112yes—
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—44no—
705C2×Dic61—44no—
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×Dic61C23×C412yes—
715C2×Dic61C23×C412yes—
716C2×Dic61C23×C412yes—
717C2×Dic61C23×C412yes—
718C2×Dic61C23×C412yes—
719C2×Dic61C23×C412yes—
720C2×Dic61C23×C412yes—
721C2×Dic61C2×#4112yes—
722C2×Dic61C2×#4112yes—
723C4×D61—44no—
724C4×D61—82no—
725C4×D61—82no—
726Dic122—44no—
727#34228—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×C61C4×#4114yes—
756C22×C61#51814yes—
757C22×C61C24×C411yescharacteristic
758C22×C61C22×#4111yescharacteristic
759C22×C61C22×#4111yescharacteristic
760C22×C61C2×H(5,𝔽2)11yescharacteristic
761C22×C61C2×H(5,𝔽2)11yescharacteristic
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—22no—
775C4×C61—22no—
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—22no—
790Dic61—22no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797C2×#525—611no—
798#2368—611no—
799#2368—611no—
800#2364—611no—
801#2364—611no—
802#2358—611no—
803#2358—611no—
804#2358—611no—
805#2358D6111yescharacteristic, complemented
806#2357—611no—
807#2357—611no—
808#2353—611no—
809#2353—611no—
810#2343—611no—
811#2343—611no—
812#2339—611no—
813#2339—611no—
814#2333—611no—
815#2333—611no—
816#2332—611no—
817#2332—611no—
818#2318—611no—
819#2318—611no—
820C4×#123—611no—
821C4×#123—611no—
822C4×#123—611no—
823C4×#123—611no—
824C2×#381—611no—
825#2275—611no—
826#2275—611no—
827C2×C4×C22⋊C4—611no—
828C2×C61—24no—
829C2×C61—24no—
830C2×C61—42no—
831C2×C61—42no—
832C2×C61C2×C4×#4111yescharacteristic
833C2×C61C2×#51811yescharacteristic
834C2×C61#342811yescharacteristic
835C2×C61#351311yescharacteristic
836C2×C61#351311yescharacteristic
837C2×C61#351311yescharacteristic
838C2×C61#351311yescharacteristic
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×C22⋊C4—611no—
865C22×C22⋊C4—611no—
866C22×C22⋊C4C2×D6111yescharacteristic
867C22×C22⋊C4C2×D6111yescharacteristic
868C22×C42—611no—
869C22×C42—611no—
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#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#388—611no—
888#388—611no—
889#388—611no—
890#388—611no—
891#388—611no—
892#388C2×D6111yescharacteristic
893#388C2×D6111yescharacteristic
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#387—611no—
908#387—611no—
909#387—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#386C2×D6111yescharacteristic
924#386C2×D6111yescharacteristic
925#386C2×D6111yescharacteristic
926#385—611no—
927#385—611no—
928#385—611no—
929#385—611no—
930#385—611no—
931#385—611no—
932#385C2×D6111yescharacteristic
933#385C2×D6111yescharacteristic
934#383—611no—
935#383—611no—
936#382—611no—
937#382—611no—
938#381—611no—
939#381—611no—
940#381—611no—
941#381—611no—
942#381—611no—
943#381—611no—
944#381—611no—
945#381—611no—
946#381—611no—
947#381—611no—
948#380—611no—
949#380—611no—
950C4×C4⋊C4—611no—
951C4×C4⋊C4—611no—
952C4×C4⋊C4—611no—
953C4×C4⋊C4—611no—
954C4×C4⋊C4—611no—
955C4×C4⋊C4—611no—
956C4×C4⋊C4—611no—
957C4×C4⋊C4—611no—
958C4×C4⋊C4—611no—
959C4×C4⋊C4—611no—
960C4×C22⋊C4—611no—
961C4×C22⋊C4—611no—
962C4×C22⋊C4—611no—
963C4×C22⋊C4—611no—
964C4×C22⋊C4—611no—
965C4×C22⋊C4—611no—
966C4×C22⋊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⋊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#3422811yescharacteristic, 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—24no—
1041C4×D4—42no—
1042C4×D4—618no—
1043C4×D4—618no—
1044C4×D4—618no—
1045C4×D4—618no—
1046C4×D4—1224no—
1047C4×D4—1224no—
1048C4×D4—1224no—
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⋊C4C22×D6111yescharacteristic
1069C2×C4⋊C4C22×D6111yescharacteristic
1070C2×C4⋊C4C22×D6111yescharacteristic
1071C2×C22⋊C4—24no—
1072C2×C22⋊C4—42no—
1073C2×C22⋊C4—611no—
1074C2×C22⋊C4—611no—
1075C2×C22⋊C4—611no—
1076C2×C22⋊C4—611no—
1077C2×C22⋊C4—611no—
1078C2×C22⋊C4—611no—
1079C2×C22⋊C4—611no—
1080C2×C22⋊C4—611no—
1081C2×C22⋊C4—611no—
1082C2×C22⋊C4—611no—
1083C2×C22⋊C4—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—1224no—
1098C2×C22⋊C4—2442no—
1099C2×C22⋊C4C22×D6111yescharacteristic
1100C2×C22⋊C4C22×D6111yescharacteristic
1101C2×C22⋊C4C22×D6111yescharacteristic
1102C2×C22⋊C4C22×D6111yescharacteristic
1103C2×C22⋊C4C22×D6111yescharacteristic
1104C2×C22⋊C4C22×D6111yescharacteristic
1105C2×C22⋊C4C22×D6111yescharacteristic
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×C42—611no—
1114C2×C42—611no—
1115C2×C42—611no—
1116C2×C42—611no—
1117C2×C42—611no—
1118C2×C42—611no—
1119C2×C42—611no—
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—2442no—
1133C2×C42—2442no—
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—22no—
1227C22×C4—22no—
1228C22×C4—22no—
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—611no—
1247C22×C4—611no—
1248C22×C4—614no—
1249C22×C4—614no—
1250C22×C4—614no—
1251C22×C4—614no—
1252C22×C4—614no—
1253C22×C4—614no—
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—1222no—
1269C22×C4—1222no—
1270C22×C4—1222no—
1271C22×C4—1222no—
1272C22×C4—1222no—
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—24416no—
1286C22×C4—2441no—
1287C22×C4—2441no—
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—22no—
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—1222no—
1319C4⋊C4—1222no—
1320C4⋊C4—1222no—
1321C4⋊C4—2441no—
1322C4⋊C4—2441no—
1323C4⋊C4—2441no—
1324C4⋊C4—2441no—
1325C4⋊C4—2441no—
1326C4⋊C4—2441no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—614no—
1338C22⋊C4—614no—
1339C22⋊C4—614no—
1340C22⋊C4—614no—
1341C22⋊C4—614no—
1342C22⋊C4—614no—
1343C22⋊C4—614no—
1344C22⋊C4—614no—
1345C22⋊C4—1222no—
1346C22⋊C4—1222no—
1347C22⋊C4—1222no—
1348C22⋊C4—1222no—
1349C22⋊C4—1222no—
1350C22⋊C4—1222no—
1351C22⋊C4—1222no—
1352C22⋊C4—1222no—
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⋊C4C2×C4×D6114yes—
1362C22⋊C4C2×C4×D6114yes—
1363C22⋊C4C2×C4×D6114yes—
1364C22⋊C4#1175822414yescomplemented
1365C42—22no—
1366C42—41no—
1367C42—41no—
1368C42—614no—
1369C42—614no—
1370C42—1222no—
1371C42—1222no—
1372C42—1222no—
1373C42—2441no—
1374C42—2441no—
1375C42—2441no—
1376C42—2441no—
1377C42—2441no—
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#41×D6112yes—
1426C23C2×#1175822412yes—
1427C23#1451982212yes—
1428C23#1451982312yes—
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—44no—
1467C2×C4—44no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4—612no—
1472C2×C4—612no—
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—4882no—
1519C2×C4—4882no—
1520C2×C4—4882no—
1521C2×C4—4882no—
1522C2×C4—4882no—
1523C2×C4—2444no—
1524C2×C4—2444no—
1525C2×C4—2444no—
1526C2×C4—2444no—
1527C2×C4—2444no—
1528C2×C4—2444no—
1529C2×C4—2444no—
1530C2×C4—2444no—
1531C2×C4C22×C4×D6112yes—
1532C2×C4C22×C4×D6112yes—
1533C2×C4C22×C4×D6112yes—
1534C2×C4C2×#1175822412yes—
1535C2×C4C2×#1175822412yes—
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—
1570C22C4×#1175822414yes—
1571C22#1684023414yes—
1572C22C23×C4×D6111yescharacteristic
1573C22C2×#41×D6111yescharacteristic
1574C22C22×#1175822411yescharacteristic
1575C22C2×#1451982211yescharacteristic
1576C22C2×#1451982311yescharacteristic
1577C22#1684059711yescharacteristic
1578C22#1684059711yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
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—1222no—
1598C4—1222no—
1599C4—2441no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C2—24no—
1606C2—24no—
1607C2—42no—
1608C2—42no—
1609C2—2442no—
1610C2C2×C4×#1175822411yescharacteristic
1611C2C2×#1684023411yescharacteristic
1612C2#2145901711yescharacteristic
1613C2#2145974411yescharacteristic
1614C2#2145974611yescharacteristic
1615C2#2145975211yescharacteristic
1616C2#2145976011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2358C2
socle, cosocleC23×C61C25
prime radicalC2×#16840268C2
hypercenter#2358D61
hypocenterC61#34228
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. #21448900C2semidirect
3. #21448897C2semidirect
4. #21448867C2semidirect
5. #21448864C2semidirect
6. #21448803C2semidirect
7. #21448798C2semidirect
8. #21448798C2semidirect
9. #21448791C2semidirect
10. #21448789C2semidirect
11. #21448757C2semidirect
12. #21448754C2semidirect
13. #21448677C2semidirect
14. #21448673C2semidirect
15. #21448645C2semidirect
16. #21448644C2semidirect
17. #21448585C2semidirect
18. #21448578C2semidirect
19. #21448576C2semidirect
20. #21448569C2semidirect
21. #21448447C2semidirect
22. #21448445C2semidirect
23. #21448344C2semidirect
24. C4×#14519761C2semidirect
25. #21448338C2semidirect
26. C4×#14519758C2semidirect
27. C2×#16839623C2semidirect
28. #21448180C2semidirect
29. #21448178C2semidirect
30. C2×C22⋊C4×Dic61C2semidirect
31. C61×#2358C2semidirect
34. #16840268C4semidirect
57. #16839668C22semidirect
58. #16839667C22semidirect
59. #16839666C22semidirect
60. #16839666C22semidirect
66. #16839656C22semidirect
67. #16839656C22semidirect
70. #16839654C22semidirect
71. #16839654C22semidirect
72. #16839652C22semidirect
73. #16839652C22semidirect
76. #16839650C22semidirect
77. #16839650C22semidirect
78. #16839649C22semidirect
79. #16839649C22semidirect
80. #16839649C22semidirect
81. #16839649C22semidirect
82. #16839647C22semidirect
83. #16839647C22semidirect
84. #16839646C22semidirect
85. #16839646C22semidirect
86. #16839645C22semidirect
87. #16839645C22semidirect
88. #16839644C22semidirect
89. #16839644C22semidirect
90. #16839643C22semidirect
91. #16839643C22semidirect
92. #16839643C22semidirect
93. #16839643C22semidirect
99. #16839641C22semidirect
102. #16839639C22semidirect
105. #16839638C22semidirect
106. #16839638C22semidirect
113. #16839629C22semidirect
114. #16839629C22semidirect
115. #16839627C22semidirect
116. #16839626C22semidirect
117. #16839624C22semidirect
126. #16839623C22semidirect
127. #16839620C22semidirect
128. #16839619C22semidirect
129. C4⋊C4×Dic61C22semidirect
130. C4⋊C4×Dic61C22semidirect
131. C4⋊C4×Dic61C22semidirect
132. C4×#11758196C22semidirect
133. C4×#11758196C22semidirect
134. C4×#11758196C22semidirect
135. C4×C4⋊Dic61C22semidirect
136. C4×C4⋊Dic61C22semidirect
137. #16839613C22semidirect
138. #16839613C22semidirect
151. C22⋊C4×Dic61C22semidirect
152. C22⋊C4×Dic61C22semidirect
153. C22⋊C4×Dic61C22semidirect
154. C4×#11758198C22semidirect
155. C4×#11758198C22semidirect
156. C4×#11758198C22semidirect
159. C4×C22⋊Dic61C22semidirect
160. C4×C22⋊Dic61C22semidirect
161. #16839609C22semidirect
162. #16839609C22semidirect
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
516. C22⋊C4×C61#41semidirect
535. C22⋊Dic61#41semidirect
805. #2358D61semidirect
996. C61#34228semidirect
1039. #120C4×D61semidirect
1364. C22⋊C4#11758224semidirect

Maximal subgroups

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

subgroupindex
C2×#168402682
#214489002
#214488972
#214488672
#214488642
#214488032
#214487982
#214487912
#214487892
#214487572
#214487542
#214486772
#214486732
#214486452
#214486442
#214485852
#214485782
#214485762
#214485692
#214484472
#214484452
#214483442
C4×#145197612
#214483382
C4×#145197582
C2×#168396232
#214481802
#214481782
C2×C22⋊C4×Dic612
C61×#23582
#3422861