Finite Group Databasebeta

← #29839896

Subgroups — #29839896

Order 15616.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840438C211yesmaximal, characteristic
2#21448947C211yesmaximal, characteristic, complemented
3#21448937C211yesmaximal, characteristic, complemented
4#21448936C211yesmaximal, characteristic, complemented
5#21448926C211yesmaximal, characteristic, complemented
6#21448902C211yesmaximal, characteristic, complemented
7#21448900C211yesmaximal, characteristic, complemented
8#21448811C211yesmaximal, characteristic, complemented
9#21448809C211yesmaximal, characteristic, complemented
10#21448798C211yesmaximal, characteristic
11#21448761C211yesmaximal, characteristic, complemented
12#21448753C211yesmaximal, characteristic, complemented
13#21448681C211yesmaximal, characteristic, complemented
14#21448673C211yesmaximal, characteristic, complemented
15#21448670C211yesmaximal, characteristic, complemented
16#21448373C211yesmaximal, characteristic, complemented
17#21448373C211yesmaximal, characteristic, complemented
18#21448360C211yesmaximal, characteristic, complemented
19#21448351C211yesmaximal, characteristic, complemented
20#21448347C211yesmaximal, characteristic, complemented
21#21448346C211yesmaximal, characteristic, complemented
22#21448338C211yesmaximal, characteristic, complemented
23#21448336C211yesmaximal, characteristic, complemented
24#21448318C211yesmaximal, characteristic
25C4×#14519737C211yesmaximal, characteristic, complemented
26C4×#14519737C211yesmaximal, characteristic, complemented
27#117×Dic61C211yesmaximal, characteristic, complemented
28C4×#14519733C211yesmaximal, characteristic, complemented
29C2×C22⋊C4×Dic61C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic61C211yesmaximal, characteristic, complemented
31C61×#2342C211yesmaximal, characteristic, complemented
32C24×Dic61C2211yescharacteristic
33#16840438C4116yescomplemented
34C2×#14519770C2211yescharacteristic
35C2×#14519770C2211yescharacteristic
36C2×#14519763C2211yescharacteristic
37C2×#14519761C2211yescharacteristic
38C2×#14519760C2211yescharacteristic
39C2×#14519759C2211yescharacteristic
40C2×#14519756C2211yescharacteristic
41C2×#14519754C2211yescharacteristic
42C2×#14519746C2211yescharacteristic
43C2×#14519742C2211yescharacteristic, complemented
44C2×C4×C22⋊D61C2211yescharacteristic
45C2×C4×C22⋊D61C2211yescharacteristic
46C2×#14519737C2211yescharacteristic
47C2×#14519737C2211yescharacteristic
48C2×#14519737C2211yescharacteristic
49C2×#14519737C2211yescharacteristic
50C2×#14519737C2211yescharacteristic
51C2×#14519736C2211yescharacteristic
52C2×#14519733C2211yescharacteristic
53C2×#14519733C2211yescharacteristic
54C22×C22⋊Dic61C2211yescharacteristic
55C22×C22⋊Dic61C2211yescharacteristic
56C22×C4×Dic61C2211yescharacteristic
57C22×C4×Dic61C2211yescharacteristic
58C22×C4×Dic61C2211yescharacteristic
59C22×C4×Dic61C2211yescharacteristic
60C2×C42×D61C2211yescharacteristic, complemented
61#16839667C2211yescharacteristic, complemented
62#16839666C2211yescharacteristic, complemented
63#16839666C2211yescharacteristic, complemented
64#16839662C2211yescharacteristic
65#16839658C2211yescharacteristic, complemented
66#16839657C2211yescharacteristic, complemented
67#16839656C2211yescharacteristic
68#16839656C2211yescharacteristic
69#16839656C2211yescharacteristic
70#16839653C2211yescharacteristic, complemented
71#16839652C2211yescharacteristic, complemented
72#16839652C2211yescharacteristic, complemented
73#16839652C2211yescharacteristic, complemented
74#16839651C2211yescharacteristic, complemented
75#16839651C2211yescharacteristic, complemented
76#16839650C2211yescharacteristic
77#16839650C2211yescharacteristic
78#16839650C2211yescharacteristic
79#16839647C2211yescharacteristic, complemented
80#16839647C2211yescharacteristic, complemented
81#16839646C2211yescharacteristic, complemented
82#16839646C2211yescharacteristic, complemented
83#16839646C2211yescharacteristic, complemented
84#16839645C2211yescharacteristic, complemented
85#16839645C2211yescharacteristic, complemented
86#16839645C2211yescharacteristic, complemented
87#16839645C2211yescharacteristic, complemented
88#16839644C2211yescharacteristic, complemented
89#16839644C2211yescharacteristic, complemented
90#16839644C2211yescharacteristic, complemented
91#16839644C2211yescharacteristic, complemented
92#16839643C2211yescharacteristic, complemented
93#16839643C2211yescharacteristic, complemented
94#16839643C2211yescharacteristic, complemented
95#16839641C2211yescharacteristic
96#16839639C2211yescharacteristic
97#16839639C2211yescharacteristic
98#16839639C2211yescharacteristic
99#16839639C2211yescharacteristic
100#16839638C2211yescharacteristic
101#16839635C2211yescharacteristic
102#16839634C2211yescharacteristic
103#16839634C2211yescharacteristic
104#16839634C2211yescharacteristic
105#16839634C2211yescharacteristic
106#16839634C2211yescharacteristic
107#16839634C2211yescharacteristic
108#16839633C2211yescharacteristic, complemented
109#16839629C2211yescharacteristic, complemented
110#16839629C2211yescharacteristic, complemented
111#16839626C2211yescharacteristic, complemented
112#16839624C2211yescharacteristic, complemented
113#16839623C2211yescharacteristic
114#16839620C2211yescharacteristic
115C4⋊C4×Dic61C2211yescharacteristic, complemented
116C4⋊C4×Dic61C2211yescharacteristic, complemented
117C4⋊C4×Dic61C2211yescharacteristic, complemented
118C4⋊C4×Dic61C2211yescharacteristic, complemented
119C4⋊C4×Dic61C2211yescharacteristic, complemented
120C4×#11758196C2211yescharacteristic, complemented
121C4×#11758196C2211yescharacteristic, complemented
122C4×#11758196C2211yescharacteristic, complemented
123C4×#11758196C2211yescharacteristic, complemented
124#16839613C2211yescharacteristic, complemented
125#16839613C2211yescharacteristic, complemented
126#16839613C2211yescharacteristic, complemented
127#16839613C2211yescharacteristic, complemented
128#16839613C2211yescharacteristic, complemented
129#16839613C2211yescharacteristic, complemented
130#16839613C2211yescharacteristic, complemented
131C22⋊C4×Dic61C2211yescharacteristic
132C22⋊C4×Dic61C2211yescharacteristic
133C22⋊C4×Dic61C2211yescharacteristic
134C22⋊C4×Dic61C2211yescharacteristic
135C22⋊C4×Dic61C2211yescharacteristic
136C22⋊C4×Dic61C2211yescharacteristic
137C22⋊C4×Dic61C2211yescharacteristic
138C22⋊C4×Dic61C2211yescharacteristic
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
152C22⋊C4×Dic61C2211yescharacteristic
153C22⋊C4×Dic61C2211yescharacteristic
154C4×#11758198C2211yescharacteristic, complemented
155C4×#11758198C2211yescharacteristic, complemented
156C4×C22⋊Dic61C2211yescharacteristic
157#16839609C2211yescharacteristic, complemented
158#16839609C2211yescharacteristic, complemented
159#16839609C2211yescharacteristic, complemented
160#16839609C2211yescharacteristic, complemented
161#16839609C2211yescharacteristic, complemented
162#16839608C2211yescharacteristic, complemented
163#16839608C2211yescharacteristic, complemented
164#16839607C2211yescharacteristic, complemented
165#16839607C2211yescharacteristic, complemented
166C2×#14519684C2211yescharacteristic
167C2×#14519684C2211yescharacteristic
168C2×#14519684C2211yescharacteristic
169C2×#14519684C2211yescharacteristic
170C42×Dic61C2211yescharacteristic, complemented
171C42×Dic61C2211yescharacteristic, complemented
172C42×Dic61C2211yescharacteristic, complemented
173C2×#117×C61C2211yescharacteristic
174C22×C22⋊C4×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C61×#388C2211yescharacteristic
177C61×#388C2211yescharacteristic
178C61×#388C2211yescharacteristic
179C61×#388C2211yescharacteristic
180C61×#385C2211yescharacteristic
181C61×#385C2211yescharacteristic
182C61×#381C2211yescharacteristic
183C61×#380C2211yescharacteristic
184C61×#379C2211yescharacteristic
185C4×C22⋊C4×C61C2211yescharacteristic
186C4×C22⋊C4×C61C2211yescharacteristic
187C4×C22⋊C4×C61C2211yescharacteristic
188C22×Dic122C2311yescharacteristic
189C22×C22⋊D61C2311yescharacteristic
190C22×C22⋊D61C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C23×Dic61—24no—
193C23×Dic61—24no—
194C23×Dic61—42no—
195C23×Dic61C2311yescharacteristic
196C23×Dic61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208#14519770C2×C418yescomplemented
209#14519770C2×C418yescomplemented
210#14519763C2×C418yescomplemented
211#14519761C2×C418yescomplemented
212#14519760C2×C418yescomplemented
213#14519759C2×C418yescomplemented
214#14519756C2×C418yescomplemented
215#14519754C2×C418yescomplemented
216#14519746C2×C418yes—
217#14519742—42no—
218C4×C22⋊D61—24no—
219C4×C22⋊D61C2×C418yescomplemented
220#14519737—24no—
221#14519737—24no—
222#14519737—24no—
223#14519737—42no—
224#14519737C2×C418yescomplemented
225#14519736C2×C418yescomplemented
226#14519733—24no—
227#14519733C2×C418yescomplemented
228C2×C4⋊Dic61C2311yescharacteristic
229C2×C4⋊Dic61C2311yescharacteristic
230C2×C4⋊Dic61C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×C22⋊Dic61—24no—
247C2×C22⋊Dic61C2×C418yescomplemented
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×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×#11758198C2311yescharacteristic
260C2×#11758198C2311yescharacteristic
261C2×#11758198C2311yescharacteristic
262C2×#11758198C2311yescharacteristic
263C2×#11758198C2311yescharacteristic
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×C4×Dic61—24no—
269C2×C4×Dic61—24no—
270C2×C4×Dic61—42no—
271C2×C4×Dic61—42no—
272C2×C4×Dic61C2311yescharacteristic
273C2×C4×Dic61C2311yescharacteristic
274C2×C4×Dic61C2311yescharacteristic
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
294C2×C4×Dic61C2311yescharacteristic
295C2×C4×Dic61C2311yescharacteristic
296C2×C4×Dic61C2311yescharacteristic
297C2×C4×Dic61C2311yescharacteristic
298C2×C4×Dic61C2311yescharacteristic
299C2×C4×Dic61C2311yescharacteristic
300C2×C4×Dic61C2311yescharacteristic
301C42×D61—42no—
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—24no—
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61—24no—
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—22no—
379C24×C61—22no—
380C24×C61—41no—
381C24×C61—41no—
382C24×C61C22×C414yes—
383C24×C61C2411yescharacteristic
384C24×C61C2411yescharacteristic
385C24×C61C2411yescharacteristic
386C23×D61C2411yescharacteristic
387C22×C4×C61—22no—
388C22×C4×C61—22no—
389C22×C4×C61—22no—
390C22×C4×C61—22no—
391C22×C4×C61—22no—
392C22×C4×C61—22no—
393C22×C4×C61—41no—
394C22×C4×C61—41no—
395C22×C4×C61—41no—
396C22×C4×C61—41no—
397C22×C4×C61C22×C414yes—
398C22×C4×C61C22×C414yes—
399C22×C4×C61C2411yescharacteristic
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C22×C4×C61C2411yescharacteristic
405C22×C4×C61C2411yescharacteristic
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C2×C22⋊D61—22no—
412C2×C22⋊D61—22no—
413C2×C22⋊D61—22no—
414C2×C22⋊D61—22no—
415C2×C22⋊D61—41no—
416C2×C22⋊D61—41no—
417C2×C22⋊D61C22×C414yes—
418C2×C22⋊D61C22×C414yes—
419C2×C22⋊D61C22×C414yes—
420C22×Dic61—22no—
421C22×Dic61—22no—
422C22×Dic61—22no—
423C22×Dic61—22no—
424C22×Dic61—22no—
425C22×Dic61—22no—
426C22×Dic61—22no—
427C22×Dic61—22no—
428C22×Dic61—22no—
429C22×Dic61—22no—
430C22×Dic61—22no—
431C22×Dic61—22no—
432C22×Dic61—22no—
433C22×Dic61—22no—
434C22×Dic61—22no—
435C22×Dic61—22no—
436C22×Dic61—22no—
437C22×Dic61—22no—
438C22×Dic61—22no—
439C22×Dic61—41no—
440C22×Dic61—41no—
441C22×Dic61—41no—
442C22×Dic61—41no—
443C22×Dic61—41no—
444C22×Dic61—41no—
445C22×Dic61—41no—
446C22×Dic61—416no—
447C22×Dic61C22×C414yes—
448C22×Dic61C22×C414yes—
449C22×Dic61#4114yes—
450C22×Dic61#4114yes—
451C22×Dic61C2411yescharacteristic
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C2×C4×D61—22no—
467C2×C4×D61—22no—
468C2×C4×D61—22no—
469C2×C4×D61—22no—
470C2×C4×D61—22no—
471C2×C4×D61—41no—
472C2×C4×D61—41no—
473C2×C4×D61—41no—
474C2×C4×D61C22×C414yescomplemented
475C2×Dic122—41no—
476C2×Dic122—41no—
477C2×Dic122C22×C414yescomplemented
478C4⋊C4×C61—22no—
479C4⋊C4×C61—22no—
480C4⋊C4×C61—41no—
481C4⋊C4×C61—41no—
482C22⋊C4×C61—22no—
483C22⋊C4×C61—22no—
484C22⋊C4×C61—22no—
485C22⋊C4×C61—22no—
486C22⋊C4×C61—22no—
487C22⋊C4×C61—22no—
488C22⋊C4×C61—22no—
489C22⋊C4×C61—41no—
490C22⋊C4×C61—41no—
491C22⋊C4×C61C22×C414yes—
492C22⋊C4×C61C22×C414yes—
493C22⋊C4×C61C22×C414yes—
494C22⋊C4×C61C22×C414yes—
495C22⋊C4×C61#4114yes—
496C42×C61—22no—
497C42×C61—22no—
498C42×C61—41no—
499C42×C61—41no—
500C22⋊Dic61—22no—
501C22⋊Dic61—22no—
502C22⋊Dic61—22no—
503C22⋊Dic61C22×C414yes—
504C22⋊Dic61C22×C414yes—
505C22⋊Dic61C22×C414yes—
506C22⋊Dic61C22×C414yes—
507C22⋊Dic61C22×C414yes—
508C22⋊Dic61C22×C414yes—
509C22⋊Dic61C22×C414yes—
510C22⋊Dic61#4114yes—
511#11758198—22no—
512#11758198—22no—
513#11758198—22no—
514#11758198—22no—
515#11758198—41no—
516#11758198—41no—
517#11758198C22×C414yescomplemented
518#11758198C22×C414yescomplemented
519#11758198C22×C414yescomplemented
520C4⋊Dic61C22×C414yescomplemented
521C4⋊Dic61C22×C414yescomplemented
522C4⋊Dic61C22×C414yescomplemented
523#11758196—22no—
524#11758196—22no—
525#11758196—22no—
526#11758196—22no—
527#11758196—22no—
528#11758196—22no—
529#11758196—41no—
530#11758196—41no—
531#11758196—41no—
532#11758196—41no—
533#11758196C22×C414yescomplemented
534#11758196C22×C414yescomplemented
535#11758196C22×C414yescomplemented
536#11758196C22×C414yescomplemented
537#11758196C22×C414yescomplemented
538C4×Dic61—22no—
539C4×Dic61—22no—
540C4×Dic61—22no—
541C4×Dic61—22no—
542C4×Dic61—22no—
543C4×Dic61—22no—
544C4×Dic61—22no—
545C4×Dic61—22no—
546C4×Dic61—22no—
547C4×Dic61—22no—
548C4×Dic61—22no—
549C4×Dic61—22no—
550C4×Dic61—22no—
551C4×Dic61—22no—
552C4×Dic61—22no—
553C4×Dic61—22no—
554C4×Dic61—22no—
555C4×Dic61—22no—
556C4×Dic61—22no—
557C4×Dic61—41no—
558C4×Dic61—41no—
559C4×Dic61—41no—
560C4×Dic61—41no—
561C4×Dic61—41no—
562C4×Dic61—41no—
563C4×Dic61—41no—
564C4×Dic61C22×C414yescomplemented
565C4×Dic61C22×C414yescomplemented
566C4×Dic61C22×C414yescomplemented
567C23×C61—21no—
568C23×C61—21no—
569C23×C61—21no—
570C23×C61—21no—
571C23×C61—21no—
572C23×C61—21no—
573C23×C61—21no—
574C23×C61—21no—
575C23×C61—28no—
576C23×C61—28no—
577C23×C61—21no—
578C23×C61—21no—
579C23×C61—21no—
580C23×C61—21no—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—44no—
584C23×C61—44no—
585C23×C61—44no—
586C23×C61—44no—
587C23×C61—44no—
588C23×C61C23×C412yes—
589C23×C61C23×C412yes—
590C23×C61C23×C412yes—
591C23×C61C2×#4112yes—
592C23×C61C2×#4112yes—
593C23×C61C2×#4112yes—
594C23×C61C2×#4112yes—
595C23×C61C2511yescharacteristic
596C22×D61—21no—
597C22×D61—21no—
598C22×D61—21no—
599C22×D61—21no—
600C22×D61—21no—
601C22×D61—21no—
602C22×D61C23×C412yes—
603C2×C4×C61—28no—
604C2×C4×C61—21no—
605C2×C4×C61—21no—
606C2×C4×C61—21no—
607C2×C4×C61—21no—
608C2×C4×C61—21no—
609C2×C4×C61—21no—
610C2×C4×C61—21no—
611C2×C4×C61—21no—
612C2×C4×C61—21no—
613C2×C4×C61—21no—
614C2×C4×C61—21no—
615C2×C4×C61—21no—
616C2×C4×C61—21no—
617C2×C4×C61—21no—
618C2×C4×C61—21no—
619C2×C4×C61—21no—
620C2×C4×C61—21no—
621C2×C4×C61—21no—
622C2×C4×C61—21no—
623C2×C4×C61—21no—
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—44no—
635C2×C4×C61—44no—
636C2×C4×C61—44no—
637C2×C4×C61C23×C412yes—
638C2×C4×C61C23×C412yes—
639C2×C4×C61C23×C412yes—
640C2×C4×C61C23×C412yes—
641C2×C4×C61C2×#4112yes—
642C2×C4×C61C2×#4112yes—
643C22⋊D61—28no—
644C22⋊D61—28no—
645C22⋊D61—44no—
646C2×Dic61—28no—
647C2×Dic61—21no—
648C2×Dic61—21no—
649C2×Dic61—21no—
650C2×Dic61—21no—
651C2×Dic61—21no—
652C2×Dic61—21no—
653C2×Dic61—21no—
654C2×Dic61—21no—
655C2×Dic61—21no—
656C2×Dic61—21no—
657C2×Dic61—21no—
658C2×Dic61—21no—
659C2×Dic61—21no—
660C2×Dic61—21no—
661C2×Dic61—21no—
662C2×Dic61—21no—
663C2×Dic61—21no—
664C2×Dic61—21no—
665C2×Dic61—21no—
666C2×Dic61—21no—
667C2×Dic61—21no—
668C2×Dic61—21no—
669C2×Dic61—28no—
670C2×Dic61—28no—
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—44no—
681C2×Dic61—44no—
682C2×Dic61—44no—
683C2×Dic61—44no—
684C2×Dic61—44no—
685C2×Dic61—44no—
686C2×Dic61—44no—
687C2×Dic61C23×C412yes—
688C2×Dic61C23×C412yes—
689C2×Dic61C23×C412yes—
690C2×Dic61C23×C412yes—
691C2×Dic61C23×C412yes—
692C2×Dic61C23×C412yes—
693C2×Dic61C23×C412yes—
694C2×Dic61C2×#4112yes—
695C2×Dic61C2×#4112yes—
696C2×Dic61C2×#4112yes—
697C2×Dic61C2×#4112yes—
698C2×Dic61C2×#4112yes—
699C2×Dic61C2×#4112yes—
700C2×Dic61H(5,𝔽2)12yes—
701C4×D61—44no—
702C4×D61—44no—
703C4×D61—44no—
704Dic122—44no—
705C4×#551—611nomaximal, Sylow
706C22×C61—22no—
707C22×C61—22no—
708C22×C61—22no—
709C22×C61—22no—
710C22×C61—22no—
711C22×C61—22no—
712C22×C61—22no—
713C22×C61—22no—
714C22×C61—22no—
715C22×C61—22no—
716C22×C61—22no—
717C22×C61—22no—
718C22×C61—22no—
719C22×C61—22no—
720C22×C61—22no—
721C22×C61—416no—
722C22×C61—41no—
723C22×C61—41no—
724C22×C61—41no—
725C22×C61—41no—
726C22×C61C4×#4114yes—
727C22×C61C4×#4114yes—
728C22×C61C24×C411yescharacteristic
729C22×C61C22×#4111yescharacteristic
730C22×C61C22×#4111yescharacteristic
731C22×C61C22×#4111yescharacteristic
732C22×C61C22×#4111yescharacteristic
733C22×C61C2×H(5,𝔽2)11yescharacteristic
734C22×C61#58511yescharacteristic
735C2×D61—22no—
736C2×D61—22no—
737C2×D61—22no—
738C2×D61—41no—
739C2×D61—41no—
740C2×D61—41no—
741C2×D61—41no—
742C4×C61—22no—
743C4×C61—22no—
744C4×C61—22no—
745C4×C61—22no—
746C4×C61—22no—
747C4×C61—22no—
748C4×C61—41no—
749C4×C61—41no—
750C4×C61—41no—
751C4×C61—41no—
752C4×C61—41no—
753C4×C61—41no—
754Dic61—22no—
755Dic61—22no—
756Dic61—22no—
757Dic61—22no—
758Dic61—22no—
759Dic61—22no—
760Dic61—22no—
761Dic61—22no—
762Dic61—22no—
763Dic61—22no—
764Dic61—22no—
765Dic61—41no—
766Dic61—41no—
767Dic61—41no—
768Dic61#55114yescomplemented
769C2×#551—611no—
770#2374—611no—
771#2373—611no—
772#2373—611no—
773#2372—611no—
774#2368—611no—
775#2368—611no—
776#2359—611no—
777#2359—611no—
778#2358—611no—
779#2353—611no—
780#2353—611no—
781#2343—611no—
782#2343—611no—
783#2342—611no—
784#2342D6111yescharacteristic, complemented
785C4×#126—611no—
786C4×#126—611no—
787C4×#124—611no—
788C4×C22⋊Q8—611no—
789C4×C22⋊Q8—611no—
790C4×#123—611no—
791C4×#123—611no—
792C4×#123—611no—
793C4×#120—611no—
794C42×D4—611no—
795C42×D4—611no—
796C4×#117—611no—
797C4×#117—611no—
798C2×C4×C22⋊C4—611no—
799C2×C4×C22⋊C4—611no—
800C2×C61—24no—
801C2×C61—24no—
802C2×C61—42no—
803C2×C61C2×C4×#4111yescharacteristic
804C2×C61C2×C4×#4111yescharacteristic
805C2×C61C4×H(5,𝔽2)11yescharacteristic
806C2×C61C2×#55111yescharacteristic
807C2×C61#347511yescharacteristic
808C2×C61#347511yescharacteristic
809C2×C61#348111yescharacteristic
810D61—42no—
811C24×C4—611no—
812#551—6116no—
813C2×#126—611no—
814C2×#126—611no—
815C2×#124—611no—
816C2×#123—611no—
817C2×#123—611no—
818C2×#123—611no—
819C2×C22⋊Q8—611no—
820C2×C22⋊Q8—611no—
821C2×#120—611no—
822C2×C4×Q8—611no—
823C2×C4×D4—611no—
824C2×C4×D4—611no—
825C2×C4×D4—611no—
826C2×C4×D4—611no—
827C2×C4×D4—611no—
828C2×C4×D4—611no—
829C2×C4×D4—611no—
830C2×#117—611no—
831C2×#117—611no—
832C2×#117—611no—
833C2×#117C2×D6111yescharacteristic
834C22×C22⋊C4—611no—
835C22×C22⋊C4—611no—
836C22×C22⋊C4C2×D6111yescharacteristic
837C22×C22⋊C4C2×D6111yescharacteristic
838C22×C42—611no—
839C22×C42—611no—
840C22×C42—611no—
841C22×C42—611no—
842C22×C42—611no—
843#391—611no—
844#391—611no—
845#391—611no—
846#390—611no—
847#389—611no—
848#389—611no—
849#388—611no—
850#388—611no—
851#388—611no—
852#388—611no—
853#388—611no—
854#388—611no—
855#388—611no—
856#388—611no—
857#388—611no—
858#388—611no—
859#388—611no—
860#388—611no—
861#388C2×D6111yescharacteristic
862#388C2×D6111yescharacteristic
863#388C2×D6111yescharacteristic
864#388C2×D6111yescharacteristic
865#387—611no—
866#387—611no—
867#387—611no—
868#387—611no—
869#387—611no—
870#387—611no—
871#387—611no—
872#387—611no—
873#387—611no—
874#387—611no—
875#387—611no—
876#387—611no—
877#387—611no—
878#387—611no—
879#387—611no—
880#387—611no—
881#386—611no—
882#386—611no—
883#386—611no—
884#386—611no—
885#386—611no—
886#386—611no—
887#385—611no—
888#385—611no—
889#385—611no—
890#385—611no—
891#385—611no—
892#385—611no—
893#385—611no—
894#385—611no—
895#385C2×D6111yescharacteristic
896#385C2×D6111yescharacteristic
897#383—611no—
898#383—611no—
899#382—611no—
900#381—611no—
901#381—611no—
902#381C2×D6111yescharacteristic
903#380—611no—
904#380C2×D6111yescharacteristic
905#379C2×D6111yescharacteristic
906C4×C4⋊C4—611no—
907C4×C4⋊C4—611no—
908C4×C4⋊C4—611no—
909C4×C4⋊C4—611no—
910C4×C4⋊C4—611no—
911C4×C4⋊C4—611no—
912C4×C4⋊C4—611no—
913C4×C4⋊C4—611no—
914C4×C4⋊C4—611no—
915C4×C4⋊C4—611no—
916C4×C4⋊C4—611no—
917C4×C4⋊C4—611no—
918C4×C4⋊C4—611no—
919C4×C4⋊C4—611no—
920C4×C4⋊C4—611no—
921C4×C4⋊C4—611no—
922C4×C22⋊C4—611no—
923C4×C22⋊C4—611no—
924C4×C22⋊C4—611no—
925C4×C22⋊C4—611no—
926C4×C22⋊C4—611no—
927C4×C22⋊C4—611no—
928C4×C22⋊C4—611no—
929C4×C22⋊C4—611no—
930C4×C22⋊C4—611no—
931C4×C22⋊C4—611no—
932C4×C22⋊C4—611no—
933C4×C22⋊C4—611no—
934C4×C22⋊C4—611no—
935C4×C22⋊C4—611no—
936C4×C22⋊C4—611no—
937C4×C22⋊C4—611no—
938C4×C22⋊C4—611no—
939C4×C22⋊C4—611no—
940C4×C22⋊C4—611no—
941C4×C22⋊C4—611no—
942C4×C22⋊C4—611no—
943C4×C22⋊C4—611no—
944C4×C22⋊C4—611no—
945C4×C22⋊C4—611no—
946C4×C22⋊C4—611no—
947C4×C22⋊C4—611no—
948C4×C22⋊C4—611no—
949C4×C22⋊C4—611no—
950C4×C22⋊C4—611no—
951C4×C22⋊C4—611no—
952C4×C22⋊C4—611no—
953C4×C22⋊C4C2×D6111yescharacteristic
954C4×C22⋊C4C2×D6111yescharacteristic
955C4×C22⋊C4C2×D6111yescharacteristic
956#376—611no—
957#376—611no—
958#376—611no—
959#376—611no—
960C2×#95—611no—
961C2×#95—611no—
962C2×#95—611no—
963C2×#95—611no—
964C43—611no—
965C43—611no—
966C43—611no—
967C61C4×#55111yescharacteristic, complemented, Sylow
968C25C22×D6111yescharacteristic
969C22×Q8—611no—
970C22×D4—611no—
971C22×D4—611no—
972C22×D4—611no—
973C23×C4—611no—
974C23×C4—611no—
975C23×C4—611no—
976C23×C4—611no—
977C23×C4—611no—
978C23×C4—611no—
979C23×C4—611no—
980C23×C4—611no—
981C23×C4—611no—
982C23×C4—611no—
983C23×C4—611no—
984C23×C4—611no—
985C23×C4—611no—
986C23×C4—1224no—
987C23×C4—1224no—
988C23×C4—2442no—
989C23×C4C22×D6111yescharacteristic
990C23×C4C22×D6111yescharacteristic
991C23×C4C22×D6111yescharacteristic
992C23×C4C22×D6111yescharacteristic
993#126—618no—
994#126—618no—
995#124—618no—
996#123—618no—
997#123—618no—
998#123—618no—
999C22⋊Q8—618no—
1000C22⋊Q8—618no—
1001#120—618no—
1002C4×Q8—2442no—
1003C4×D4—618no—
1004C4×D4—618no—
1005C4×D4—1224no—
1006C4×D4—1224no—
1007C4×D4—1224no—
1008C4×D4—1224no—
1009C4×D4—2442no—
1010#117—24no—
1011#117—618no—
1012#117—618no—
1013#117—1224no—
1014C2×C4⋊C4—611no—
1015C2×C4⋊C4—611no—
1016C2×C4⋊C4—611no—
1017C2×C4⋊C4—611no—
1018C2×C4⋊C4—611no—
1019C2×C4⋊C4—611no—
1020C2×C4⋊C4—611no—
1021C2×C4⋊C4—611no—
1022C2×C4⋊C4—611no—
1023C2×C4⋊C4—611no—
1024C2×C4⋊C4—611no—
1025C2×C4⋊C4—611no—
1026C2×C4⋊C4—611no—
1027C2×C4⋊C4—611no—
1028C2×C4⋊C4—611no—
1029C2×C4⋊C4—611no—
1030C2×C4⋊C4—611no—
1031C2×C4⋊C4—611no—
1032C2×C4⋊C4C22×D6111yescharacteristic
1033C2×C4⋊C4C22×D6111yescharacteristic
1034C2×C4⋊C4C22×D6111yescharacteristic
1035C2×C4⋊C4C22×D6111yescharacteristic
1036C2×C22⋊C4—24no—
1037C2×C22⋊C4—618no—
1038C2×C22⋊C4—611no—
1039C2×C22⋊C4—611no—
1040C2×C22⋊C4—611no—
1041C2×C22⋊C4—611no—
1042C2×C22⋊C4—611no—
1043C2×C22⋊C4—611no—
1044C2×C22⋊C4—611no—
1045C2×C22⋊C4—611no—
1046C2×C22⋊C4—611no—
1047C2×C22⋊C4—611no—
1048C2×C22⋊C4—611no—
1049C2×C22⋊C4—611no—
1050C2×C22⋊C4—611no—
1051C2×C22⋊C4—611no—
1052C2×C22⋊C4—611no—
1053C2×C22⋊C4—611no—
1054C2×C22⋊C4—611no—
1055C2×C22⋊C4—611no—
1056C2×C22⋊C4—611no—
1057C2×C22⋊C4—611no—
1058C2×C22⋊C4—1224no—
1059C2×C22⋊C4C4×D6118yescomplemented
1060C2×C22⋊C4C22×D6111yescharacteristic
1061C2×C22⋊C4C22×D6111yescharacteristic
1062C2×C22⋊C4C22×D6111yescharacteristic
1063C2×C22⋊C4C22×D6111yescharacteristic
1064C2×C22⋊C4C22×D6111yescharacteristic
1065C2×C22⋊C4C22×D6111yescharacteristic
1066C2×C22⋊C4C22×D6111yescharacteristic
1067C2×C22⋊C4C22×D6111yescharacteristic
1068C2×C22⋊C4C22×D6111yescharacteristic
1069C2×C22⋊C4C22×D6111yescharacteristic
1070C2×C22⋊C4C22×D6111yescharacteristic
1071C2×C22⋊C4C22×D6111yescharacteristic
1072C2×C22⋊C4C22×D6111yescharacteristic
1073C2×C22⋊C4C22×D6111yescharacteristic
1074C2×C42—611no—
1075C2×C42—611no—
1076C2×C42—611no—
1077C2×C42—611no—
1078C2×C42—611no—
1079C2×C42—611no—
1080C2×C42—611no—
1081C2×C42—611no—
1082C2×C42—611no—
1083C2×C42—611no—
1084C2×C42—611no—
1085C2×C42—611no—
1086C2×C42—611no—
1087C2×C42—611no—
1088C2×C42—611no—
1089C2×C42—611no—
1090C2×C42—611no—
1091C2×C42—611no—
1092C2×C42—611no—
1093C2×C42—611no—
1094C2×C42—611no—
1095C2×C42—611no—
1096C2×C42—611no—
1097C2×C42—611no—
1098C2×C42—611no—
1099C2×C42—611no—
1100C2×C42—611no—
1101C2×C42—611no—
1102C2×C42—611no—
1103C2×C42—1224no—
1104C2×C42—1224no—
1105C2×C42—2442no—
1106C2×C42—2442no—
1107C2×C42—2442no—
1108C2×C42C22×D6111yescharacteristic
1109C2×C42C22×D6111yescharacteristic
1110C2×C42C22×D6111yescharacteristic
1111C2×C42C22×D6111yescharacteristic
1112#95—611no—
1113#95—611no—
1114#95—611no—
1115#95—611no—
1116#95—611no—
1117#95—611no—
1118#95—611no—
1119#95—611no—
1120#95—611no—
1121#95—611no—
1122#95—611no—
1123#95—611no—
1124#95—611no—
1125#95—611no—
1126#95—611no—
1127#95—611no—
1128#95—611no—
1129#95—611no—
1130#95—611no—
1131#95—611no—
1132#95—611no—
1133#95—611no—
1134#95—611no—
1135#95—611no—
1136#95—611no—
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#95C22×D6111yescharacteristic
1149#95C22×D6111yescharacteristic
1150#95C22×D6111yescharacteristic
1151#95C22×D6111yescharacteristic
1152#95C22×D6111yescharacteristic
1153#95C22×D6111yescharacteristic
1154#95C22×D6111yescharacteristic
1155#95C22×D6111yescharacteristic
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—41no—
1161C24—41no—
1162C24—611no—
1163C24C2×C4×D6114yes—
1164C24C23×D6111yescharacteristic
1165C24C23×D6111yescharacteristic
1166C24C23×D6111yescharacteristic
1167C2×Q8—614no—
1168C2×Q8—2441no—
1169C2×Q8—2441no—
1170C2×D4—614no—
1171C2×D4—614no—
1172C2×D4—614no—
1173C2×D4—1222no—
1174C2×D4—1222no—
1175C2×D4—1222no—
1176C2×D4—1222no—
1177C2×D4—2441no—
1178C2×D4—2441no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—611no—
1190C22×C4—614no—
1191C22×C4—614no—
1192C22×C4—614no—
1193C22×C4—611no—
1194C22×C4—611no—
1195C22×C4—611no—
1196C22×C4—611no—
1197C22×C4—611no—
1198C22×C4—611no—
1199C22×C4—611no—
1200C22×C4—611no—
1201C22×C4—611no—
1202C22×C4—611no—
1203C22×C4—611no—
1204C22×C4—614no—
1205C22×C4—614no—
1206C22×C4—611no—
1207C22×C4—611no—
1208C22×C4—611no—
1209C22×C4—1222no—
1210C22×C4—1222no—
1211C22×C4—1222no—
1212C22×C4—1222no—
1213C22×C4—1222no—
1214C22×C4—1222no—
1215C22×C4—1222no—
1216C22×C4—1222no—
1217C22×C4—1222no—
1218C22×C4—1222no—
1219C22×C4—1222no—
1220C22×C4—1222no—
1221C22×C4—1222no—
1222C22×C4—1222no—
1223C22×C4—1222no—
1224C22×C4—1222no—
1225C22×C4—1222no—
1226C22×C4—1222no—
1227C22×C4—1222no—
1228C22×C4—1222no—
1229C22×C4—1222no—
1230C22×C4—1222no—
1231C22×C4—1222no—
1232C22×C4—1222no—
1233C22×C4—2441no—
1234C22×C4—2441no—
1235C22×C4—2441no—
1236C22×C4—2441no—
1237C22×C4—2441no—
1238C22×C4—2441no—
1239C22×C4—2441no—
1240C22×C4—2441no—
1241C22×C4—2441no—
1242C22×C4—2441no—
1243C22×C4—24416no—
1244C22×C4C2×C4×D6114yes—
1245C22×C4C2×C4×D6114yes—
1246C22×C4C23×D6111yescharacteristic
1247C22×C4C23×D6111yescharacteristic
1248C22×C4C23×D6111yescharacteristic
1249C22×C4C23×D6111yescharacteristic
1250C22×C4C23×D6111yescharacteristic
1251C22×C4C23×D6111yescharacteristic
1252C22×C4C23×D6111yescharacteristic
1253C22×C4C23×D6111yescharacteristic
1254C22×C4C23×D6111yescharacteristic
1255C22×C4C23×D6111yescharacteristic
1256C22×C4C23×D6111yescharacteristic
1257C22×C4C23×D6111yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—614no—
1263C4⋊C4—614no—
1264C4⋊C4—614no—
1265C4⋊C4—614no—
1266C4⋊C4—614no—
1267C4⋊C4—614no—
1268C4⋊C4—614no—
1269C4⋊C4—614no—
1270C4⋊C4—1222no—
1271C4⋊C4—1222no—
1272C4⋊C4—1222no—
1273C4⋊C4—1222no—
1274C4⋊C4—1222no—
1275C4⋊C4—1222no—
1276C4⋊C4—2441no—
1277C4⋊C4—2441no—
1278C4⋊C4—2441no—
1279C4⋊C4—2441no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—614no—
1290C22⋊C4—614no—
1291C22⋊C4—614no—
1292C22⋊C4—614no—
1293C22⋊C4—614no—
1294C22⋊C4—614no—
1295C22⋊C4—614no—
1296C22⋊C4—614no—
1297C22⋊C4—614no—
1298C22⋊C4—614no—
1299C22⋊C4—614no—
1300C22⋊C4—1222no—
1301C22⋊C4—1222no—
1302C22⋊C4—1222no—
1303C22⋊C4—1222no—
1304C22⋊C4—1222no—
1305C22⋊C4—1222no—
1306C22⋊C4—1222no—
1307C22⋊C4—2441no—
1308C22⋊C4—2441no—
1309C22⋊C4C2×C4×D6114yes—
1310C22⋊C4C2×C4×D6114yes—
1311C22⋊C4C2×C4×D6114yes—
1312C22⋊C4C2×C4×D6114yes—
1313C22⋊C4#1175822414yes—
1314C42—22no—
1315C42—22no—
1316C42—41no—
1317C42—41no—
1318C42—614no—
1319C42—614no—
1320C42—614no—
1321C42—1222no—
1322C42—1222no—
1323C42—1222no—
1324C42—1222no—
1325C42—1222no—
1326C42—1222no—
1327C42—1222no—
1328C42—1222no—
1329C42—1222no—
1330C42—1222no—
1331C42—1222no—
1332C42—1222no—
1333C42—1222no—
1334C42—1222no—
1335C42—1222no—
1336C42—1222no—
1337C42—1222no—
1338C42—1222no—
1339C42—1222no—
1340C42—2441no—
1341C42—2441no—
1342C42—2441no—
1343C42—2441no—
1344C42—2441no—
1345C42—2441no—
1346C42—2441no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—28no—
1356C23—28no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—612no—
1369C23—1221no—
1370C23—1221no—
1371C23—1221no—
1372C23—1221no—
1373C23—1221no—
1374C23—1221no—
1375C23C22×C4×D6112yes—
1376C23C22×C4×D6112yes—
1377C23C22×C4×D6112yes—
1378C23#41×D6112yes—
1379C23#41×D6112yes—
1380C23#41×D6112yes—
1381C23C2×#1175822412yes—
1382C23C24×D6111yescharacteristic
1383Q8—2444no—
1384D4—1228no—
1385D4—1228no—
1386D4—2444no—
1387C2×C4—28no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—612no—
1422C2×C4—612no—
1423C2×C4—612no—
1424C2×C4—612no—
1425C2×C4—612no—
1426C2×C4—612no—
1427C2×C4—612no—
1428C2×C4—612no—
1429C2×C4—612no—
1430C2×C4—612no—
1431C2×C4—612no—
1432C2×C4—612no—
1433C2×C4—612no—
1434C2×C4—612no—
1435C2×C4—1228no—
1436C2×C4—1228no—
1437C2×C4—1228no—
1438C2×C4—1221no—
1439C2×C4—1221no—
1440C2×C4—1221no—
1441C2×C4—1221no—
1442C2×C4—1221no—
1443C2×C4—1221no—
1444C2×C4—1221no—
1445C2×C4—1221no—
1446C2×C4—1221no—
1447C2×C4—1221no—
1448C2×C4—1221no—
1449C2×C4—1221no—
1450C2×C4—1221no—
1451C2×C4—1221no—
1452C2×C4—1221no—
1453C2×C4—1221no—
1454C2×C4—1221no—
1455C2×C4—1221no—
1456C2×C4—1221no—
1457C2×C4—1221no—
1458C2×C4—1221no—
1459C2×C4—1221no—
1460C2×C4—1221no—
1461C2×C4—1221no—
1462C2×C4—1221no—
1463C2×C4—1221no—
1464C2×C4—1221no—
1465C2×C4—1221no—
1466C2×C4—1221no—
1467C2×C4—1221no—
1468C2×C4—1221no—
1469C2×C4—2444no—
1470C2×C4—2444no—
1471C2×C4—2444no—
1472C2×C4—2444no—
1473C2×C4—2444no—
1474C2×C4—2444no—
1475C2×C4—2444no—
1476C2×C4—2444no—
1477C2×C4—2444no—
1478C2×C4—2444no—
1479C2×C4C22×C4×D6112yes—
1480C2×C4C22×C4×D6112yes—
1481C2×C4C22×C4×D6112yes—
1482C2×C4C22×C4×D6112yes—
1483C2×C4C2×#1175822412yes—
1484C2×C4C2×#1175822412yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—416no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—1222no—
1506C22—1222no—
1507C22—1222no—
1508C22—2441no—
1509C22—2441no—
1510C22—2441no—
1511C22—2441no—
1512C22C4×#1175822414yes—
1513C22#1684023014yes—
1514C22C23×C4×D6111yescharacteristic
1515C22C2×#41×D6111yescharacteristic
1516C22C2×#41×D6111yescharacteristic
1517C22C2×#41×D6111yescharacteristic
1518C22C22×#1175822411yescharacteristic
1519C22H(5,𝔽2)×D6111yescharacteristic
1520C22#1684059711yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—614no—
1534C4—1222no—
1535C4—1222no—
1536C4—1222no—
1537C4—1222no—
1538C4—1222no—
1539C4—1222no—
1540C4—1222no—
1541C4—1222no—
1542C4—1222no—
1543C4—1222no—
1544C4—1222no—
1545C4—2441no—
1546C4—2441no—
1547C4—2441no—
1548C2—24no—
1549C2—24no—
1550C2—42no—
1551C2—2442no—
1552C2C2×C4×#1175822411yescharacteristic
1553C2C2×#1684023011yescharacteristic
1554C2#2145902311yescharacteristic
1555C2#551×D6111yescharacteristic
1556C2#2145937011yescharacteristic
1557C2#2145937411yescharacteristic
1558C2#2145942411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2342C2
socle, cosocleC23×C61C25
prime radicalC2×#14519746C22
hypercenter#2342D61
hypocenterC61C4×#551
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #21448947C2semidirect
3. #21448937C2semidirect
4. #21448936C2semidirect
5. #21448926C2semidirect
6. #21448902C2semidirect
7. #21448900C2semidirect
8. #21448811C2semidirect
9. #21448809C2semidirect
11. #21448761C2semidirect
12. #21448753C2semidirect
13. #21448681C2semidirect
14. #21448673C2semidirect
15. #21448670C2semidirect
16. #21448373C2semidirect
17. #21448373C2semidirect
18. #21448360C2semidirect
19. #21448351C2semidirect
20. #21448347C2semidirect
21. #21448346C2semidirect
22. #21448338C2semidirect
23. #21448336C2semidirect
25. C4×#14519737C2semidirect
26. C4×#14519737C2semidirect
27. #117×Dic61C2semidirect
28. C4×#14519733C2semidirect
29. C2×C22⋊C4×Dic61C2semidirect
30. C2×C22⋊C4×Dic61C2semidirect
31. C61×#2342C2semidirect
33. #16840438C4semidirect
43. C2×#14519742C22semidirect
60. C2×C42×D61C22semidirect
61. #16839667C22semidirect
62. #16839666C22semidirect
63. #16839666C22semidirect
65. #16839658C22semidirect
66. #16839657C22semidirect
70. #16839653C22semidirect
71. #16839652C22semidirect
72. #16839652C22semidirect
73. #16839652C22semidirect
74. #16839651C22semidirect
75. #16839651C22semidirect
79. #16839647C22semidirect
80. #16839647C22semidirect
81. #16839646C22semidirect
82. #16839646C22semidirect
83. #16839646C22semidirect
84. #16839645C22semidirect
85. #16839645C22semidirect
86. #16839645C22semidirect
87. #16839645C22semidirect
88. #16839644C22semidirect
89. #16839644C22semidirect
90. #16839644C22semidirect
91. #16839644C22semidirect
92. #16839643C22semidirect
93. #16839643C22semidirect
94. #16839643C22semidirect
108. #16839633C22semidirect
109. #16839629C22semidirect
110. #16839629C22semidirect
111. #16839626C22semidirect
112. #16839624C22semidirect
115. C4⋊C4×Dic61C22semidirect
116. C4⋊C4×Dic61C22semidirect
117. C4⋊C4×Dic61C22semidirect
118. C4⋊C4×Dic61C22semidirect
119. C4⋊C4×Dic61C22semidirect
120. C4×#11758196C22semidirect
121. C4×#11758196C22semidirect
122. C4×#11758196C22semidirect
123. C4×#11758196C22semidirect
124. #16839613C22semidirect
125. #16839613C22semidirect
126. #16839613C22semidirect
127. #16839613C22semidirect
128. #16839613C22semidirect
129. #16839613C22semidirect
130. #16839613C22semidirect
154. C4×#11758198C22semidirect
155. C4×#11758198C22semidirect
157. #16839609C22semidirect
158. #16839609C22semidirect
159. #16839609C22semidirect
160. #16839609C22semidirect
161. #16839609C22semidirect
162. #16839608C22semidirect
163. #16839608C22semidirect
164. #16839607C22semidirect
165. #16839607C22semidirect
170. C42×Dic61C22semidirect
171. C42×Dic61C22semidirect
172. C42×Dic61C22semidirect
208. #14519770C2×C4semidirect
209. #14519770C2×C4semidirect
210. #14519763C2×C4semidirect
211. #14519761C2×C4semidirect
212. #14519760C2×C4semidirect
213. #14519759C2×C4semidirect
214. #14519756C2×C4semidirect
215. #14519754C2×C4semidirect
219. C4×C22⋊D61C2×C4semidirect
224. #14519737C2×C4semidirect
225. #14519736C2×C4semidirect
227. #14519733C2×C4semidirect
247. C2×C22⋊Dic61C2×C4semidirect
349. C2×C22⋊C4×C61C2×C4semidirect
474. C2×C4×D61C22×C4semidirect
477. C2×Dic122C22×C4semidirect
517. #11758198C22×C4semidirect
518. #11758198C22×C4semidirect
519. #11758198C22×C4semidirect
520. C4⋊Dic61C22×C4semidirect
521. C4⋊Dic61C22×C4semidirect
522. C4⋊Dic61C22×C4semidirect
533. #11758196C22×C4semidirect
534. #11758196C22×C4semidirect
535. #11758196C22×C4semidirect
536. #11758196C22×C4semidirect
537. #11758196C22×C4semidirect
564. C4×Dic61C22×C4semidirect
565. C4×Dic61C22×C4semidirect
566. C4×Dic61C22×C4semidirect
768. Dic61#551semidirect
784. #2342D61semidirect
967. C61C4×#551semidirect
1059. C2×C22⋊C4C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168404382
#214489472
#214489372
#214489362
#214489262
#214489022
#214489002
#214488112
#214488092
#214487982
#214487612
#214487532
#214486812
#214486732
#214486702
#214483732
#214483602
#214483512
#214483472
#214483462
#214483382
#214483362
#214483182
C4×#145197372
#117×Dic612
C4×#145197332
C2×C22⋊C4×Dic612
C61×#23422
C4×#55161