Finite Group Databasebeta

← #29845367

Subgroups — #29845367

Order 15616.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840400C211yesmaximal, characteristic
2#21448980C211yesmaximal, characteristic, complemented
3#21448978C211yesmaximal, characteristic, complemented
4#21448963C211yesmaximal, characteristic, complemented
5#21448957C211yesmaximal, characteristic, complemented
6#21448930C211yesmaximal, characteristic, complemented
7#21448864C211yesmaximal, characteristic, complemented
8#21448860C211yesmaximal, characteristic, complemented
9#21448807C211yesmaximal, characteristic, complemented
10#21448796C211yesmaximal, characteristic, complemented
11#21448757C211yesmaximal, characteristic, complemented
12#21448755C211yesmaximal, characteristic, complemented
13#21448671C211yesmaximal, characteristic, complemented
14#21448661C211yesmaximal, characteristic, complemented
15#21448637C211yesmaximal, characteristic, complemented
16#21448631C211yesmaximal, characteristic, complemented
17#21448609C211yesmaximal, characteristic, complemented
18#21448585C211yesmaximal, characteristic, complemented
19#21448574C211yesmaximal, characteristic, complemented
20#21448522C211yesmaximal, characteristic, complemented
21#21448485C211yesmaximal, characteristic, complemented
22#21448475C211yesmaximal, characteristic, complemented
23#21448473C211yesmaximal, characteristic, complemented
24#21448459C211yesmaximal, characteristic, complemented
25#21448416C211yesmaximal, characteristic, complemented
26#21448411C211yesmaximal, characteristic, complemented
27#21448393C211yesmaximal, characteristic, complemented
28C4×#14519749C211yesmaximal, characteristic, complemented
29#21448259C211yesmaximal, characteristic, complemented
30C2×#16839654C211yesmaximal, characteristic, complemented
31C61×#2339C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33#16840400C4116yescomplemented
34C2×#14519766C2211yescharacteristic
35C2×#14519760C2211yescharacteristic
36C2×#14519760C2211yescharacteristic
37C2×#14519753C2211yescharacteristic
38C2×#14519751C2211yescharacteristic
39C2×#14519749C2211yescharacteristic
40C2×#14519749C2211yescharacteristic
41C2×#14519745C2211yescharacteristic
42C2×#14519745C2211yescharacteristic
43C2×D4×Dic61C2211yescharacteristic
44C2×C4×C22⋊D61C2211yescharacteristic
45C2×C4×C22⋊D61C2211yescharacteristic
46C2×C4×C22⋊D61C2211yescharacteristic, complemented
47C2×C4×C22⋊D61C2211yescharacteristic, complemented
48C2×#14519737C2211yescharacteristic
49C2×#14519736C2211yescharacteristic, complemented
50C2×#14519733C2211yescharacteristic, complemented
51C22×C4⋊Dic61C2211yescharacteristic, complemented
52C22×#11758198C2211yescharacteristic
53C22×#11758198C2211yescharacteristic
54C22×#11758198C2211yescharacteristic
55C22×#11758198C2211yescharacteristic
56C2×C22⋊C4×D61C2211yescharacteristic
57C2×C22⋊C4×D61C2211yescharacteristic
58C22×C4×Dic61C2211yescharacteristic, complemented
59#16839669C2211yescharacteristic, complemented
60#16839669C2211yescharacteristic, complemented
61#16839665C2211yescharacteristic, complemented
62#16839665C2211yescharacteristic, complemented
63#16839662C2211yescharacteristic
64#16839662C2211yescharacteristic
65#16839662C2211yescharacteristic
66#16839662C2211yescharacteristic
67#16839662C2211yescharacteristic, complemented
68#16839662C2211yescharacteristic, complemented
69#16839659C2211yescharacteristic, complemented
70#16839659C2211yescharacteristic, complemented
71#16839659C2211yescharacteristic, complemented
72#16839657C2211yescharacteristic, complemented
73#16839656C2211yescharacteristic, complemented
74#16839656C2211yescharacteristic, complemented
75#16839656C2211yescharacteristic, complemented
76#16839656C2211yescharacteristic, complemented
77#16839654C2211yescharacteristic
78#16839654C2211yescharacteristic
79#16839654C2211yescharacteristic
80#16839654C2211yescharacteristic
81#16839654C2211yescharacteristic
82#16839654C2211yescharacteristic
83#16839654C2211yescharacteristic, complemented
84#16839654C2211yescharacteristic, complemented
85#16839654C2211yescharacteristic, complemented
86#16839654C2211yescharacteristic, complemented
87#16839654C2211yescharacteristic, complemented
88#16839654C2211yescharacteristic, complemented
89#16839654C2211yescharacteristic, complemented
90#16839653C2211yescharacteristic
91#16839653C2211yescharacteristic
92#16839653C2211yescharacteristic, complemented
93#16839652C2211yescharacteristic
94#16839652C2211yescharacteristic
95#16839652C2211yescharacteristic, complemented
96#16839652C2211yescharacteristic, complemented
97#16839652C2211yescharacteristic, complemented
98#16839651C2211yescharacteristic
99#16839651C2211yescharacteristic
100#16839651C2211yescharacteristic, complemented
101#16839650C2211yescharacteristic, complemented
102#16839650C2211yescharacteristic, complemented
103#16839649C2211yescharacteristic, complemented
104#16839649C2211yescharacteristic, complemented
105#16839649C2211yescharacteristic, complemented
106#16839647C2211yescharacteristic, complemented
107#16839647C2211yescharacteristic, complemented
108#16839646C2211yescharacteristic, complemented
109#16839645C2211yescharacteristic, complemented
110#16839645C2211yescharacteristic, complemented
111#16839644C2211yescharacteristic, complemented
112#16839643C2211yescharacteristic, complemented
113#16839642C2211yescharacteristic
114#16839642C2211yescharacteristic
115#16839642C2211yescharacteristic, complemented
116#16839642C2211yescharacteristic, complemented
117#16839641C2211yescharacteristic
118#16839641C2211yescharacteristic
119#16839641C2211yescharacteristic
120#16839641C2211yescharacteristic, complemented
121#16839641C2211yescharacteristic, complemented
122#16839640C2211yescharacteristic
123#16839640C2211yescharacteristic
124#16839640C2211yescharacteristic
125#16839640C2211yescharacteristic
126#16839639C2211yescharacteristic
127#16839638C2211yescharacteristic
128#16839638C2211yescharacteristic
129#16839638C2211yescharacteristic, complemented
130#16839638C2211yescharacteristic, complemented
131#16839636C2211yescharacteristic, complemented
132#16839636C2211yescharacteristic, complemented
133#16839636C2211yescharacteristic, complemented
134#16839636C2211yescharacteristic, complemented
135#16839636C2211yescharacteristic, complemented
136#16839635C2211yescharacteristic, complemented
137#16839634C2211yescharacteristic, complemented
138#16839633C2211yescharacteristic, complemented
139#16839629C2211yescharacteristic, complemented
140#16839624C2211yescharacteristic
141#16839624C2211yescharacteristic
142#16839623C2211yescharacteristic, complemented
143#16839622C2211yescharacteristic, complemented
144#16839622C2211yescharacteristic, complemented
145#16839622C2211yescharacteristic, complemented
146#16839622C2211yescharacteristic, complemented
147#16839621C2211yescharacteristic
148#16839620C2211yescharacteristic, complemented
149#16839617C2211yescharacteristic
150#16839617C2211yescharacteristic
151#16839617C2211yescharacteristic
152#16839617C2211yescharacteristic
153C4×#11758196C2211yescharacteristic, complemented
154#16839613C2211yescharacteristic, complemented
155#16839613C2211yescharacteristic, complemented
156C22⋊C4×Dic61C2211yescharacteristic, complemented
157C22⋊C4×Dic61C2211yescharacteristic, complemented
158C22⋊C4×Dic61C2211yescharacteristic, complemented
159C22⋊C4×Dic61C2211yescharacteristic, complemented
160C4×#11758198C2211yescharacteristic, complemented
161C4×#11758198C2211yescharacteristic, complemented
162C4×#11758198C2211yescharacteristic, complemented
163C4×C22⋊Dic61C2211yescharacteristic, complemented
164C4×C22⋊Dic61C2211yescharacteristic, complemented
165C4×C22⋊Dic61C2211yescharacteristic, complemented
166#16839609C2211yescharacteristic
167#16839609C2211yescharacteristic, complemented
168#16839609C2211yescharacteristic, complemented
169#16839609C2211yescharacteristic, complemented
170#16839607C2211yescharacteristic, complemented
171#16839607C2211yescharacteristic, complemented
172C2×#14519684C2211yescharacteristic, complemented
173C22×#41×C61C2211yescharacteristic
174C2×C4×D4×C61C2211yescharacteristic, complemented
175C2×C4×D4×C61C2211yescharacteristic, complemented
176C61×#391C2211yescharacteristic, complemented
177C61×#391C2211yescharacteristic, complemented
178C61×#386C2211yescharacteristic
179C61×#386C2211yescharacteristic
180C61×#386C2211yescharacteristic, complemented
181C61×#386C2211yescharacteristic, complemented
182C61×#381C2211yescharacteristic, complemented
183C61×#381C2211yescharacteristic, complemented
184C61×#380C2211yescharacteristic, complemented
185C4×C22⋊C4×C61C2211yescharacteristic, complemented
186C2×#95×C61C2211yescharacteristic, complemented
187C2×#95×C61C2211yescharacteristic, complemented
188C24×D61C2311yescharacteristic
189C24×D61C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C2×D4×D61—42no—
197C2×D4×D61—42no—
198C2×D4×D61C2×C418yescomplemented
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C22×C4×D61C2311yescharacteristic
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208#14519766C2×C418yescomplemented
209#14519760C2×C418yescomplemented
210#14519760C2×C418yescomplemented
211#14519753C2×C418yescomplemented
212#14519751C2×C418yescomplemented
213#14519749C2×C418yescomplemented
214#14519749C2×C418yescomplemented
215#14519745C2×C418yescomplemented
216#14519745C2×C418yescomplemented
217D4×Dic61C2×C418yescomplemented
218C4×C22⋊D61—42no—
219C4×C22⋊D61—42no—
220C4×C22⋊D61—42no—
221C4×C22⋊D61C2×C418yescomplemented
222#14519737—42no—
223#14519736—42no—
224#14519733—42no—
225C2×C4⋊Dic61—42no—
226C2×C4⋊Dic61C2311yescharacteristic
227C2×C4⋊Dic61C2311yescharacteristic
228C2×C4⋊Dic61C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
245C2×C22⋊Dic61C2311yescharacteristic
246C2×C22⋊Dic61C2311yescharacteristic
247C2×C22⋊Dic61C2311yescharacteristic
248C2×C22⋊Dic61C2311yescharacteristic
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×#11758198—42no—
258C2×#11758198—42no—
259C2×#11758198C2×C418yescomplemented
260C2×#11758198C2×C418yescomplemented
261C2×#11758198C2311yescharacteristic
262C2×#11758198C2311yescharacteristic
263C2×#11758198C2311yescharacteristic
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C22⋊C4×D61—42no—
291C22⋊C4×D61—42no—
292C2×C4×Dic61—42no—
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
304C2×C4×Dic61C2311yescharacteristic
305C2×C4×Dic61C2311yescharacteristic
306C2×C4×Dic61C2311yescharacteristic
307C2×C4×Dic61C2311yescharacteristic
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
336C2×#41×C61—42no—
337C2×#41×C61—42no—
338C2×#41×C61C2×C418yescomplemented
339C22×Q8×C61C2311yescharacteristic
340C22×D4×C61C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C22×D4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344C23×C4×C61C2311yescharacteristic
345C23×C4×C61C2311yescharacteristic
346C23×C4×C61C2311yescharacteristic
347C23×C4×C61C2311yescharacteristic
348C23×C4×C61C2311yescharacteristic
349C23×C4×C61C2311yescharacteristic
350C4×D4×C61—42no—
351C4×D4×C61—42no—
352C2×C4⋊C4×C61C2311yescharacteristic
353C2×C4⋊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×C42×C61C2311yescharacteristic
363C2×C42×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C24×C61C2411yescharacteristic
379C23×D61—22no—
380C23×D61—22no—
381C23×D61—41no—
382C23×D61—41no—
383C23×D61—41no—
384C23×D61—41no—
385C23×D61—41no—
386C23×D61—41no—
387C23×D61—41no—
388C23×D61—41no—
389C23×D61—41no—
390C23×D61—41no—
391C23×D61C22×C414yes—
392C23×D61C22×C414yes—
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396#41×C61—416no—
397C2×Q8×C61—41no—
398C2×Q8×C61—41no—
399C2×Q8×C61C22×C414yes—
400C2×D4×C61—22no—
401C2×D4×C61—22no—
402C2×D4×C61—22no—
403C2×D4×C61—22no—
404C2×D4×C61—41no—
405C2×D4×C61—41no—
406C2×D4×C61C22×C414yes—
407C2×D4×C61C22×C414yes—
408C2×D4×C61C22×C414yes—
409C22×C4×C61—22no—
410C22×C4×C61—22no—
411C22×C4×C61—22no—
412C22×C4×C61—22no—
413C22×C4×C61—22no—
414C22×C4×C61—22no—
415C22×C4×C61—41no—
416C22×C4×C61—41no—
417C22×C4×C61—41no—
418C22×C4×C61—41no—
419C22×C4×C61—41no—
420C22×C4×C61—41no—
421C22×C4×C61—41no—
422C22×C4×C61—41no—
423C22×C4×C61—41no—
424C22×C4×C61—41no—
425C22×C4×C61—41no—
426C22×C4×C61—41no—
427C22×C4×C61C22×C414yes—
428C22×C4×C61C22×C414yes—
429C22×C4×C61C22×C414yes—
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
439C22×C4×C61C2411yescharacteristic
440C22×C4×C61C2411yescharacteristic
441C22×C4×C61C2411yescharacteristic
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61C22×C414yes—
453C2×C22⋊D61C22×C414yes—
454C2×C22⋊D61C22×C414yes—
455C2×C22⋊D61C22×C414yes—
456C2×C22⋊D61C22×C414yes—
457C22×Dic61—22no—
458C22×Dic61—22no—
459C22×Dic61—41no—
460C22×Dic61—41no—
461C22×Dic61—41no—
462C22×Dic61—41no—
463C22×Dic61—41no—
464C22×Dic61—41no—
465C22×Dic61—41no—
466C22×Dic61—41no—
467C22×Dic61C22×C414yes—
468C22×Dic61C22×C414yes—
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482D4×D61—416no—
483C2×D244—41no—
484C2×D244—41no—
485C2×D244C22×C414yes—
486C2×C4×D61—22no—
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×D61—41no—
495C2×C4×D61—41no—
496C2×C4×D61—41no—
497C2×C4×D61—41no—
498C2×C4×D61—41no—
499C2×C4×D61—41no—
500C2×C4×D61C22×C414yes—
501C4⋊C4×C61—41no—
502C4⋊C4×C61—41no—
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—
511C42×C61—41no—
512C42×C61—41no—
513C22⋊Dic61—22no—
514C22⋊Dic61—22no—
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—
526#11758198—22no—
527#11758198—22no—
528#11758198—41no—
529#11758198—41no—
530#11758198—41no—
531#11758198—41no—
532#11758198—41no—
533#11758198—41no—
534#11758198—41no—
535#11758198—41no—
536#11758198—41no—
537#11758198—41no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198—41no—
543#11758198—41no—
544#11758198—41no—
545#11758198—41no—
546#11758198C22×C414yes—
547#11758198C22×C414yes—
548#11758198C22×C414yes—
549#11758198C22×C414yes—
550#11758198C22×C414yes—
551#11758198C22×C414yes—
552#11758198C22×C414yes—
553#11758198C22×C414yes—
554#11758198C22×C414yes—
555C4⋊Dic61—41no—
556C4⋊Dic61—41no—
557C4⋊Dic61—41no—
558C4⋊Dic61—41no—
559C4⋊Dic61—41no—
560C4⋊Dic61—41no—
561C4⋊Dic61C22×C414yes—
562#11758196—22no—
563#11758196—41no—
564#11758196—41no—
565#11758196—41no—
566#11758196—41no—
567#11758196—41no—
568#11758196—41no—
569#11758196—41no—
570#11758196C22×C414yes—
571#11758196C22×C414yes—
572#11758196C22×C414yes—
573C4×Dic61—22no—
574C4×Dic61—22no—
575C4×Dic61—41no—
576C4×Dic61—41no—
577C4×Dic61—41no—
578C4×Dic61—41no—
579C4×Dic61—41no—
580C4×Dic61—41no—
581C4×Dic61—41no—
582C4×Dic61—41no—
583C4×Dic61—41no—
584C4×Dic61—41no—
585C4×Dic61—41no—
586C4×Dic61—41no—
587C4×Dic61C22×C414yes—
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—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61C23×C412yes—
605C23×C61C23×C412yes—
606C23×C61C23×C412yes—
607C23×C61H(5,𝔽2)12yes—
608C23×C61H(5,𝔽2)12yes—
609C23×C61C2511yescharacteristic
610C22×D61—21no—
611C22×D61—21no—
612C22×D61—21no—
613C22×D61—21no—
614C22×D61—21no—
615C22×D61—21no—
616C22×D61—21no—
617C22×D61—21no—
618C22×D61—21no—
619C22×D61—21no—
620C22×D61—21no—
621C22×D61—21no—
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—21no—
627C22×D61—21no—
628C22×D61—28no—
629C22×D61—44no—
630C22×D61—44no—
631C22×D61—44no—
632C22×D61—44no—
633C22×D61—44no—
634C22×D61—82no—
635C22×D61—82no—
636C22×D61—82no—
637C22×D61—82no—
638C22×D61—82no—
639C22×D61—82no—
640C22×D61—82no—
641C22×D61—82no—
642C22×D61C23×C412yes—
643C22×D61C23×C412yes—
644C22×D61C23×C412yes—
645Q8×C61—44no—
646D4×C61—28no—
647D4×C61—28no—
648D4×C61—44no—
649C2×C4×C61—28no—
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—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—44no—
682C2×C4×C61—44no—
683C2×C4×C61—44no—
684C2×C4×C61—82no—
685C2×C4×C61—82no—
686C2×C4×C61—82no—
687C2×C4×C61C23×C412yes—
688C2×C4×C61C23×C412yes—
689C2×C4×C61C23×C412yes—
690C2×C4×C61C23×C412yes—
691C2×C4×C61H(5,𝔽2)12yes—
692C22⋊D61—28no—
693C22⋊D61—44no—
694C22⋊D61—44no—
695C22⋊D61—44no—
696C22⋊D61—44no—
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—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—44no—
732C2×Dic61—44no—
733C2×Dic61—44no—
734C2×Dic61—82no—
735C2×Dic61C23×C412yes—
736C2×Dic61C23×C412yes—
737C2×Dic61C23×C412yes—
738C2×Dic61C23×C412yes—
739C2×Dic61C23×C412yes—
740D244—44no—
741C4×D61—44no—
742C4×D61—82no—
743C4×D61—82no—
744C4×D61—82no—
745C4×D61—82no—
746#34492—611nomaximal, Sylow
747C22×C61—22no—
748C22×C61—22no—
749C22×C61—22no—
750C22×C61—22no—
751C22×C61—22no—
752C22×C61—22no—
753C22×C61—22no—
754C22×C61—22no—
755C22×C61—22no—
756C22×C61—22no—
757C22×C61—22no—
758C22×C61—22no—
759C22×C61—41no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61#51814yes—
768C22×C61C24×C411yescharacteristic
769C22×C61C2×H(5,𝔽2)11yescharacteristic
770C22×C61C2×H(5,𝔽2)11yescharacteristic
771C22×C61C2×H(5,𝔽2)11yescharacteristic
772C22×C61#58511yescharacteristic
773C22×C61#58511yescharacteristic
774C22×C61#58511yescharacteristic
775C2×D61—22no—
776C2×D61—22no—
777C2×D61—22no—
778C2×D61—22no—
779C2×D61—22no—
780C2×D61—22no—
781C2×D61—22no—
782C2×D61—22no—
783C2×D61—22no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—88no—
797C2×D61—88no—
798C4×C61—22no—
799C4×C61—22no—
800C4×C61—22no—
801C4×C61—22no—
802C4×C61—22no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810Dic61—22no—
811Dic61—22no—
812Dic61—22no—
813Dic61—22no—
814Dic61—22no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823C2×#546—611no—
824#2378—611no—
825#2377—611no—
826#2376—611no—
827#2375—611no—
828#2372—611no—
829#2364—611no—
830#2363—611no—
831#2359—611no—
832#2358—611no—
833#2353—611no—
834#2353—611no—
835#2342—611no—
836#2342—611no—
837#2339D6111yescharacteristic, complemented
838D4×C22⋊C4—611no—
839#2337—611no—
840#2335—611no—
841#2333—611no—
842#2332—611no—
843#2325—611no—
844#2322—611no—
845#2321—611no—
846#2321—611no—
847#2319—611no—
848#2312—611no—
849#2311—611no—
850#2308—611no—
851C4×#121—611no—
852#2290—611no—
853C2×#388—611no—
854C2×C61—24no—
855C2×C61—42no—
856C2×C61—42no—
857C2×C61C2×#51811yescharacteristic
858C2×C61#342811yescharacteristic
859C2×C61C4×H(5,𝔽2)11yescharacteristic
860C2×C61#353411yescharacteristic
861C2×C61#354211yescharacteristic
862C2×C61#354511yescharacteristic
863C2×C61#356011yescharacteristic
864D61—42no—
865D61—42no—
866D61—42no—
867C22×#41C2×D6111yescharacteristic
868C23×D4—611no—
869#546—6116no—
870C2×#124—611no—
871C2×#123—611no—
872C2×#123—611no—
873C2×C22⋊Q8—611no—
874C2×#121—611no—
875C2×#121—611no—
876C2×#121—611no—
877C2×#120—611no—
878C2×#120—611no—
879C2×C4×D4—611no—
880C2×C4×D4—611no—
881C2×C4×D4—611no—
882C2×C4×D4—611no—
883C2×C4×D4—611no—
884C2×C4×D4—611no—
885C2×C4×D4C2×D6111yescharacteristic, complemented
886C2×C4×D4C2×D6111yescharacteristic, complemented
887C2×#117—611no—
888C2×#117—611no—
889C22×C4⋊C4—611no—
890C22×C22⋊C4—611no—
891C22×C22⋊C4—611no—
892C22×C22⋊C4—611no—
893C22×C22⋊C4—611no—
894C22×C22⋊C4—611no—
895C22×C22⋊C4—611no—
896C22×C42—611no—
897#391—611no—
898#391—611no—
899#391C2×D6111yescharacteristic, complemented
900#391C2×D6111yescharacteristic, complemented
901#390—611no—
902#390—611no—
903#390—611no—
904#390—611no—
905#390—611no—
906#390—611no—
907#390—611no—
908#390—611no—
909#389—611no—
910#389—611no—
911#389—611no—
912#389—611no—
913#388—611no—
914#388—611no—
915#388—611no—
916#388—611no—
917#388—611no—
918#388—611no—
919#388—611no—
920#388—611no—
921#388—611no—
922#388—611no—
923#388—611no—
924#388—611no—
925#388—611no—
926#388—611no—
927#388—611no—
928#388—611no—
929#388—611no—
930#388—611no—
931#388—611no—
932#388—611no—
933#388—611no—
934#388—611no—
935#388—611no—
936#388—611no—
937#388—611no—
938#388—611no—
939#388—611no—
940#388—611no—
941#388—611no—
942#388—611no—
943#387—611no—
944#387—611no—
945#387—611no—
946#387—611no—
947#387—611no—
948#387—611no—
949#387—611no—
950#387—611no—
951#387—611no—
952#387—611no—
953#386—611no—
954#386—611no—
955#386—611no—
956#386—611no—
957#386—611no—
958#386—611no—
959#386—611no—
960#386—611no—
961#386—611no—
962#386—611no—
963#386—611no—
964#386—611no—
965#386—611no—
966#386—611no—
967#386—611no—
968#386—611no—
969#386—611no—
970#386—611no—
971#386C2×D6111yescharacteristic
972#386C2×D6111yescharacteristic
973#386C2×D6111yescharacteristic, complemented
974#386C2×D6111yescharacteristic, complemented
975#385—611no—
976#385—611no—
977#385—611no—
978#385—611no—
979#385—611no—
980#385—611no—
981#385—611no—
982#385—611no—
983#383—611no—
984#381—611no—
985#381—611no—
986#381—611no—
987#381C2×D6111yescharacteristic, complemented
988#381C2×D6111yescharacteristic, complemented
989#380—611no—
990#380—611no—
991#380—611no—
992#380—611no—
993#380—611no—
994#380—611no—
995#380C2×D6111yescharacteristic, complemented
996#379—611no—
997#379—611no—
998#379—611no—
999#379—611no—
1000C4×C4⋊C4—611no—
1001C4×C4⋊C4—611no—
1002C4×C4⋊C4—611no—
1003C4×C22⋊C4—611no—
1004C4×C22⋊C4—611no—
1005C4×C22⋊C4—611no—
1006C4×C22⋊C4—611no—
1007C4×C22⋊C4—611no—
1008C4×C22⋊C4—611no—
1009C4×C22⋊C4—611no—
1010C4×C22⋊C4—611no—
1011C4×C22⋊C4—611no—
1012C4×C22⋊C4—611no—
1013C4×C22⋊C4—611no—
1014C4×C22⋊C4—611no—
1015C4×C22⋊C4—611no—
1016C4×C22⋊C4—611no—
1017C4×C22⋊C4C2×D6111yescharacteristic, complemented
1018#376—611no—
1019#376—611no—
1020C2×#95—611no—
1021C2×#95C2×D6111yescharacteristic, complemented
1022C2×#95C2×D6111yescharacteristic, complemented
1023C61#3449211yescharacteristic, complemented, Sylow
1024C25—611no—
1025C25—611no—
1026C2×#41—42no—
1027C2×#41—42no—
1028C2×#41C4×D6118yescomplemented
1029C22×Q8C22×D6111yescharacteristic
1030C22×D4—611no—
1031C22×D4—611no—
1032C22×D4—611no—
1033C22×D4—611no—
1034C22×D4—611no—
1035C22×D4—618no—
1036C22×D4—611no—
1037C22×D4—2442no—
1038C22×D4—2442no—
1039C22×D4C22×D6111yescharacteristic
1040C22×D4C22×D6111yescharacteristic
1041C22×D4C22×D6111yescharacteristic
1042C23×C4—611no—
1043C23×C4—611no—
1044C23×C4—611no—
1045C23×C4—611no—
1046C23×C4—611no—
1047C23×C4—611no—
1048C23×C4—611no—
1049C23×C4—611no—
1050C23×C4—611no—
1051C23×C4C22×D6111yescharacteristic
1052C23×C4C22×D6111yescharacteristic
1053C23×C4C22×D6111yescharacteristic
1054C23×C4C22×D6111yescharacteristic
1055C23×C4C22×D6111yescharacteristic
1056C23×C4C22×D6111yescharacteristic
1057C23×C4C22×D6111yescharacteristic
1058#124—618no—
1059#123—618no—
1060#123—618no—
1061C22⋊Q8—618no—
1062#121—618no—
1063#121—618no—
1064#121—618no—
1065#120—618no—
1066#120—618no—
1067C4×D4—42no—
1068C4×D4—42no—
1069C4×D4—618no—
1070C4×D4—618no—
1071C4×D4—2442no—
1072C4×D4—2442no—
1073C4×D4—2442no—
1074C4×D4—2442no—
1075#117—2442no—
1076#117—2442no—
1077C2×C4⋊C4—611no—
1078C2×C4⋊C4—611no—
1079C2×C4⋊C4—611no—
1080C2×C4⋊C4—611no—
1081C2×C4⋊C4—611no—
1082C2×C4⋊C4—611no—
1083C2×C4⋊C4—611no—
1084C2×C4⋊C4—611no—
1085C2×C4⋊C4—611no—
1086C2×C4⋊C4—611no—
1087C2×C4⋊C4—611no—
1088C2×C4⋊C4—611no—
1089C2×C4⋊C4—611no—
1090C2×C4⋊C4—611no—
1091C2×C4⋊C4—611no—
1092C2×C4⋊C4—611no—
1093C2×C4⋊C4—611no—
1094C2×C4⋊C4—611no—
1095C2×C4⋊C4—2442no—
1096C2×C4⋊C4C22×D6111yescharacteristic
1097C2×C4⋊C4C22×D6111yescharacteristic
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—611no—
1100C2×C22⋊C4—611no—
1101C2×C22⋊C4—618no—
1102C2×C22⋊C4—618no—
1103C2×C22⋊C4—611no—
1104C2×C22⋊C4—611no—
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—611no—
1121C2×C22⋊C4—611no—
1122C2×C22⋊C4—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—611no—
1125C2×C22⋊C4—611no—
1126C2×C22⋊C4—611no—
1127C2×C22⋊C4—611no—
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—611no—
1138C2×C22⋊C4—611no—
1139C2×C22⋊C4—611no—
1140C2×C22⋊C4—611no—
1141C2×C22⋊C4—611no—
1142C2×C22⋊C4—2442no—
1143C2×C22⋊C4—2442no—
1144C2×C22⋊C4—2442no—
1145C2×C22⋊C4—2442no—
1146C2×C22⋊C4C22×D6111yescharacteristic
1147C2×C22⋊C4C22×D6111yescharacteristic
1148C2×C22⋊C4C22×D6111yescharacteristic
1149C2×C22⋊C4C22×D6111yescharacteristic
1150C2×C22⋊C4C22×D6111yescharacteristic
1151C2×C22⋊C4C22×D6111yescharacteristic
1152C2×C22⋊C4C22×D6111yescharacteristic
1153C2×C22⋊C4C22×D6111yescharacteristic
1154C2×C42—611no—
1155C2×C42—611no—
1156C2×C42—611no—
1157C2×C42—611no—
1158C2×C42—611no—
1159C2×C42—611no—
1160C2×C42—611no—
1161C2×C42—611no—
1162C2×C42—611no—
1163C2×C42—611no—
1164C2×C42—611no—
1165C2×C42—611no—
1166C2×C42—611no—
1167C2×C42—611no—
1168C2×C42—611no—
1169C2×C42—2442no—
1170C2×C42C22×D6111yescharacteristic
1171C2×C42C22×D6111yescharacteristic
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#95—611no—
1183#95—611no—
1184#95—611no—
1185#95—611no—
1186#95—611no—
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95—611no—
1191#95—611no—
1192#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196#95—611no—
1197#95—611no—
1198#95—611no—
1199#95—611no—
1200#95C22×D6111yescharacteristic
1201#95C22×D6111yescharacteristic
1202#95C22×D6111yescharacteristic
1203#95C22×D6111yescharacteristic
1204#95C22×D6111yescharacteristic
1205#95C22×D6111yescharacteristic
1206#95C22×D6111yescharacteristic
1207#95C22×D6111yescharacteristic
1208#95C22×D6111yescharacteristic
1209#95C22×D6111yescharacteristic
1210#95C22×D6111yescharacteristic
1211#95C22×D6111yescharacteristic
1212C24—611no—
1213C24—611no—
1214C24—611no—
1215C24—614no—
1216C24—614no—
1217C24—1222no—
1218C24—1222no—
1219C24—2441no—
1220C24—2441no—
1221C24—2441no—
1222C24—2441no—
1223C24—2441no—
1224C24—2441no—
1225C24—2441no—
1226C24—2441no—
1227C24—2441no—
1228C24—2441no—
1229C24C23×D6111yescharacteristic
1230C24C23×D6111yescharacteristic
1231C24C23×D6111yescharacteristic
1232#41—416no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8C2×C4×D6114yes—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—614no—
1243C2×D4—614no—
1244C2×D4—614no—
1245C2×D4—614no—
1246C2×D4—614no—
1247C2×D4—614no—
1248C2×D4—1222no—
1249C2×D4—1222no—
1250C2×D4—2441no—
1251C2×D4—2441no—
1252C2×D4—2441no—
1253C2×D4—2441no—
1254C2×D4—2441no—
1255C2×D4—2441no—
1256C2×D4—2441no—
1257C2×D4—2441no—
1258C2×D4—2441no—
1259C2×D4—2441no—
1260C2×D4—24416no—
1261C2×D4C2×C4×D6114yes—
1262C2×D4C2×C4×D6114yes—
1263C2×D4C2×C4×D6114yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—611no—
1283C22×C4—611no—
1284C22×C4—611no—
1285C22×C4—611no—
1286C22×C4—611no—
1287C22×C4—614no—
1288C22×C4—614no—
1289C22×C4—614no—
1290C22×C4—611no—
1291C22×C4—611no—
1292C22×C4—611no—
1293C22×C4—611no—
1294C22×C4—611no—
1295C22×C4—611no—
1296C22×C4—611no—
1297C22×C4—611no—
1298C22×C4—1222no—
1299C22×C4—1222no—
1300C22×C4—1222no—
1301C22×C4—2441no—
1302C22×C4—2441no—
1303C22×C4—2441no—
1304C22×C4—2441no—
1305C22×C4—2441no—
1306C22×C4—2441no—
1307C22×C4—2441no—
1308C22×C4—2441no—
1309C22×C4—2441no—
1310C22×C4—2441no—
1311C22×C4—2441no—
1312C22×C4—2441no—
1313C22×C4—2441no—
1314C22×C4—2441no—
1315C22×C4—2441no—
1316C22×C4—2441no—
1317C22×C4—2441no—
1318C22×C4—2441no—
1319C22×C4—2441no—
1320C22×C4—2441no—
1321C22×C4—2441no—
1322C22×C4C2×C4×D6114yes—
1323C22×C4C2×C4×D6114yes—
1324C22×C4C2×C4×D6114yes—
1325C22×C4C23×D6111yescharacteristic
1326C22×C4C23×D6111yescharacteristic
1327C22×C4C23×D6111yescharacteristic
1328C22×C4C23×D6111yescharacteristic
1329C22×C4C23×D6111yescharacteristic
1330C22×C4C23×D6111yescharacteristic
1331C22×C4C23×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333C22×C4C23×D6111yescharacteristic
1334C22×C4C23×D6111yescharacteristic
1335C22×C4C23×D6111yescharacteristic
1336C22×C4C23×D6111yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—614no—
1340C4⋊C4—614no—
1341C4⋊C4—614no—
1342C4⋊C4—614no—
1343C4⋊C4—1222no—
1344C4⋊C4—2441no—
1345C4⋊C4—2441no—
1346C4⋊C4—2441no—
1347C4⋊C4—2441no—
1348C4⋊C4—2441no—
1349C4⋊C4—2441no—
1350C4⋊C4—2441no—
1351C4⋊C4—2441no—
1352C4⋊C4—2441no—
1353C4⋊C4—2441no—
1354C4⋊C4—2441no—
1355C4⋊C4—2441no—
1356C4⋊C4—2441no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—614no—
1366C22⋊C4—614no—
1367C22⋊C4—614no—
1368C22⋊C4—614no—
1369C22⋊C4—614no—
1370C22⋊C4—614no—
1371C22⋊C4—614no—
1372C22⋊C4—614no—
1373C22⋊C4—614no—
1374C22⋊C4—614no—
1375C22⋊C4—614no—
1376C22⋊C4—614no—
1377C22⋊C4—1222no—
1378C22⋊C4—1222no—
1379C22⋊C4—1222no—
1380C22⋊C4—1222no—
1381C22⋊C4—2441no—
1382C22⋊C4—2441no—
1383C22⋊C4—2441no—
1384C22⋊C4—2441no—
1385C22⋊C4—2441no—
1386C22⋊C4—2441no—
1387C22⋊C4—2441no—
1388C22⋊C4—2441no—
1389C22⋊C4—2441no—
1390C22⋊C4—2441no—
1391C22⋊C4—2441no—
1392C22⋊C4—2441no—
1393C22⋊C4—2441no—
1394C22⋊C4—2441no—
1395C22⋊C4—2441no—
1396C22⋊C4—2441no—
1397C22⋊C4—2441no—
1398C22⋊C4—2441no—
1399C22⋊C4—2441no—
1400C22⋊C4—2441no—
1401C22⋊C4—2441no—
1402C22⋊C4—2441no—
1403C22⋊C4—2441no—
1404C22⋊C4—2441no—
1405C22⋊C4—2441no—
1406C22⋊C4—2441no—
1407C42—41no—
1408C42—41no—
1409C42—614no—
1410C42—1222no—
1411C42—1222no—
1412C42—2441no—
1413C42—2441no—
1414C42—2441no—
1415C42—2441no—
1416C42—2441no—
1417C42—2441no—
1418C42—2441no—
1419C42—2441no—
1420C42—2441no—
1421C42—2441no—
1422C42—2441no—
1423C42—2441no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—612no—
1441C23—612no—
1442C23—612no—
1443C23—1228no—
1444C23—1221no—
1445C23—1221no—
1446C23—1221no—
1447C23—1221no—
1448C23—1221no—
1449C23—1221no—
1450C23—1221no—
1451C23—1221no—
1452C23—1221no—
1453C23—1221no—
1454C23—1221no—
1455C23—1221no—
1456C23—1221no—
1457C23—1221no—
1458C23—1221no—
1459C23—1221no—
1460C23—1221no—
1461C23—1221no—
1462C23—4882no—
1463C23—4882no—
1464C23—4882no—
1465C23—4882no—
1466C23—4882no—
1467C23—4882no—
1468C23—4882no—
1469C23—4882no—
1470C23—2444no—
1471C23—2444no—
1472C23—2444no—
1473C23—2444no—
1474C23—2444no—
1475C23C22×C4×D6112yes—
1476C23C22×C4×D6112yes—
1477C23C22×C4×D6112yes—
1478C23#1451982212yes—
1479C23#1451982212yes—
1480C23C24×D6111yescharacteristic
1481Q8—44no—
1482D4—28no—
1483D4—28no—
1484D4—44no—
1485D4—1228no—
1486D4—2444no—
1487D4—2444no—
1488D4—2444no—
1489D4—2444no—
1490D4—2444no—
1491C2×C4—28no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—612no—
1530C2×C4—612no—
1531C2×C4—612no—
1532C2×C4—612no—
1533C2×C4—612no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—1221no—
1564C2×C4—1221no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—4882no—
1569C2×C4—4882no—
1570C2×C4—4882no—
1571C2×C4—4882no—
1572C2×C4—4882no—
1573C2×C4—2444no—
1574C2×C4—2444no—
1575C2×C4—2444no—
1576C2×C4—2444no—
1577C2×C4C22×C4×D6112yes—
1578C2×C4C22×C4×D6112yes—
1579C2×C4C22×C4×D6112yes—
1580C2×C4C22×C4×D6112yes—
1581C2×C4#1451982312yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—1222no—
1603C22—1222no—
1604C22—1222no—
1605C22—1222no—
1606C22—1222no—
1607C22—1222no—
1608C22—1222no—
1609C22—1222no—
1610C22—1222no—
1611C22—4888no—
1612C22—4888no—
1613C22—2441no—
1614C22—2441no—
1615C22—2441no—
1616C22—2441no—
1617C22—2441no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22#1684023514yes—
1626C22C23×C4×D6111yescharacteristic
1627C22C2×#1451982211yescharacteristic
1628C22C2×#1451982211yescharacteristic
1629C22C2×#1451982311yescharacteristic
1630C22#1684059711yescharacteristic
1631C22#1684059811yescharacteristic
1632C22#1684059911yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—1222no—
1646C4—1222no—
1647C4—1222no—
1648C4—1222no—
1649C4—1222no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C4—2441no—
1656C4—2441no—
1657C4—2441no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—2442no—
1662C2—2442no—
1663C2—2442no—
1664C2C2×#1684023511yescharacteristic
1665C2#2145901911yescharacteristic
1666C2C4×#1451982311yescharacteristic
1667C2#2146000511yescharacteristic
1668C2#2146013611yescharacteristic
1669C2#2146016611yescharacteristic
1670C2#2146036711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2339C2
socle, cosocleC23×C61C25
prime radicalC2×#16840400C2
hypercenter#2339D61
hypocenterC61#34492
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #21448980C2semidirect
3. #21448978C2semidirect
4. #21448963C2semidirect
5. #21448957C2semidirect
6. #21448930C2semidirect
7. #21448864C2semidirect
8. #21448860C2semidirect
9. #21448807C2semidirect
10. #21448796C2semidirect
11. #21448757C2semidirect
12. #21448755C2semidirect
13. #21448671C2semidirect
14. #21448661C2semidirect
15. #21448637C2semidirect
16. #21448631C2semidirect
17. #21448609C2semidirect
18. #21448585C2semidirect
19. #21448574C2semidirect
20. #21448522C2semidirect
21. #21448485C2semidirect
22. #21448475C2semidirect
23. #21448473C2semidirect
24. #21448459C2semidirect
25. #21448416C2semidirect
26. #21448411C2semidirect
27. #21448393C2semidirect
28. C4×#14519749C2semidirect
29. #21448259C2semidirect
30. C2×#16839654C2semidirect
31. C61×#2339C2semidirect
33. #16840400C4semidirect
46. C2×C4×C22⋊D61C22semidirect
47. C2×C4×C22⋊D61C22semidirect
49. C2×#14519736C22semidirect
50. C2×#14519733C22semidirect
51. C22×C4⋊Dic61C22semidirect
58. C22×C4×Dic61C22semidirect
59. #16839669C22semidirect
60. #16839669C22semidirect
61. #16839665C22semidirect
62. #16839665C22semidirect
67. #16839662C22semidirect
68. #16839662C22semidirect
69. #16839659C22semidirect
70. #16839659C22semidirect
71. #16839659C22semidirect
72. #16839657C22semidirect
73. #16839656C22semidirect
74. #16839656C22semidirect
75. #16839656C22semidirect
76. #16839656C22semidirect
83. #16839654C22semidirect
84. #16839654C22semidirect
85. #16839654C22semidirect
86. #16839654C22semidirect
87. #16839654C22semidirect
88. #16839654C22semidirect
89. #16839654C22semidirect
92. #16839653C22semidirect
95. #16839652C22semidirect
96. #16839652C22semidirect
97. #16839652C22semidirect
100. #16839651C22semidirect
101. #16839650C22semidirect
102. #16839650C22semidirect
103. #16839649C22semidirect
104. #16839649C22semidirect
105. #16839649C22semidirect
106. #16839647C22semidirect
107. #16839647C22semidirect
108. #16839646C22semidirect
109. #16839645C22semidirect
110. #16839645C22semidirect
111. #16839644C22semidirect
112. #16839643C22semidirect
115. #16839642C22semidirect
116. #16839642C22semidirect
120. #16839641C22semidirect
121. #16839641C22semidirect
129. #16839638C22semidirect
130. #16839638C22semidirect
131. #16839636C22semidirect
132. #16839636C22semidirect
133. #16839636C22semidirect
134. #16839636C22semidirect
135. #16839636C22semidirect
136. #16839635C22semidirect
137. #16839634C22semidirect
138. #16839633C22semidirect
139. #16839629C22semidirect
142. #16839623C22semidirect
143. #16839622C22semidirect
144. #16839622C22semidirect
145. #16839622C22semidirect
146. #16839622C22semidirect
148. #16839620C22semidirect
153. C4×#11758196C22semidirect
154. #16839613C22semidirect
155. #16839613C22semidirect
156. C22⋊C4×Dic61C22semidirect
157. C22⋊C4×Dic61C22semidirect
158. C22⋊C4×Dic61C22semidirect
159. C22⋊C4×Dic61C22semidirect
160. C4×#11758198C22semidirect
161. C4×#11758198C22semidirect
162. C4×#11758198C22semidirect
163. C4×C22⋊Dic61C22semidirect
164. C4×C22⋊Dic61C22semidirect
165. C4×C22⋊Dic61C22semidirect
167. #16839609C22semidirect
168. #16839609C22semidirect
169. #16839609C22semidirect
170. #16839607C22semidirect
171. #16839607C22semidirect
172. C2×#14519684C22semidirect
174. C2×C4×D4×C61C22semidirect
175. C2×C4×D4×C61C22semidirect
176. C61×#391C22semidirect
177. C61×#391C22semidirect
180. C61×#386C22semidirect
181. C61×#386C22semidirect
182. C61×#381C22semidirect
183. C61×#381C22semidirect
184. C61×#380C22semidirect
185. C4×C22⋊C4×C61C22semidirect
186. C2×#95×C61C22semidirect
187. C2×#95×C61C22semidirect
198. C2×D4×D61C2×C4semidirect
208. #14519766C2×C4semidirect
209. #14519760C2×C4semidirect
210. #14519760C2×C4semidirect
211. #14519753C2×C4semidirect
212. #14519751C2×C4semidirect
213. #14519749C2×C4semidirect
214. #14519749C2×C4semidirect
215. #14519745C2×C4semidirect
216. #14519745C2×C4semidirect
217. D4×Dic61C2×C4semidirect
221. C4×C22⋊D61C2×C4semidirect
259. C2×#11758198C2×C4semidirect
260. C2×#11758198C2×C4semidirect
338. C2×#41×C61C2×C4semidirect
837. #2339D61semidirect
885. C2×C4×D4C2×D61semidirect
886. C2×C4×D4C2×D61semidirect
899. #391C2×D61semidirect
900. #391C2×D61semidirect
973. #386C2×D61semidirect
974. #386C2×D61semidirect
987. #381C2×D61semidirect
988. #381C2×D61semidirect
995. #380C2×D61semidirect
1017. C4×C22⋊C4C2×D61semidirect
1021. C2×#95C2×D61semidirect
1022. C2×#95C2×D61semidirect
1023. C61#34492semidirect
1028. C2×#41C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168404002
#214489802
#214489782
#214489632
#214489572
#214489302
#214488642
#214488602
#214488072
#214487962
#214487572
#214487552
#214486712
#214486612
#214486372
#214486312
#214486092
#214485852
#214485742
#214485222
#214484852
#214484752
#214484732
#214484592
#214484162
#214484112
#214483932
C4×#145197492
#214482592
C2×#168396542
C61×#23392
#3449261