Finite Group Databasebeta

← #29852682

Subgroups — #29852682

Order 15616.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840345C211yesmaximal, characteristic, complemented
2#21454134C211yesmaximal, characteristic, complemented
3#21454120C211yesmaximal, characteristic, complemented
4#21454111C211yesmaximal, characteristic, complemented
5#21454101C211yesmaximal, characteristic, complemented
6#21451714C211yesmaximal, characteristic, complemented
7#21451703C211yesmaximal, characteristic, complemented
8#21451671C211yesmaximal, characteristic, complemented
9#21451656C211yesmaximal, characteristic, complemented
10#21450074C211yesmaximal, characteristic, complemented
11#21449939C211yesmaximal, characteristic, complemented
12#21449864C211yesmaximal, characteristic, complemented
13#21449750C211yesmaximal, characteristic, complemented
14#21449711C211yesmaximal, characteristic, complemented
15#21449705C211yesmaximal, characteristic, complemented
16#21449637C211yesmaximal, characteristic, complemented
17#21449563C211yesmaximal, characteristic, complemented
18#21449554C211yesmaximal, characteristic, complemented
19#21449480C211yesmaximal, characteristic, complemented
20#21449355C211yesmaximal, characteristic, complemented
21#21449349C211yesmaximal, characteristic, complemented
22#21449275C211yesmaximal, characteristic, complemented
23#21449193C211yesmaximal, characteristic, complemented
24#21449187C211yesmaximal, characteristic, complemented
25#21449129C211yesmaximal, characteristic, complemented
26#21448517C211yesmaximal, characteristic, complemented
27#21448473C211yesmaximal, characteristic, complemented
28#21448452C211yesmaximal, characteristic, complemented
29C4×#14519746C211yesmaximal, characteristic, complemented
30C2×#16839641C211yesmaximal, characteristic, complemented
31C22×C4×D4×C61C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33#16840345—28no—
34C2×#14519772C2211yescharacteristic, complemented
35C2×#14519771C2211yescharacteristic, complemented
36C2×#14519765C2211yescharacteristic, complemented
37C2×#14519763C2211yescharacteristic, complemented
38C2×#14519762C2211yescharacteristic, complemented
39C2×#14519760C2211yescharacteristic, complemented
40C2×#14519760C2211yescharacteristic, complemented
41C2×#14519756C2211yescharacteristic, complemented
42C2×#14519754C2211yescharacteristic, complemented
43C2×#14519751C2211yescharacteristic
44C2×#14519751C2211yescharacteristic
45C2×#14519751C2211yescharacteristic, complemented
46C2×#14519751C2211yescharacteristic, complemented
47C2×#14519750C2211yescharacteristic, complemented
48C2×#14519749C2211yescharacteristic
49C2×#14519749C2211yescharacteristic
50C2×#14519747C2211yescharacteristic, complemented
51C2×#14519746C2211yescharacteristic
52C2×#14519746C2211yescharacteristic
53C2×#14519746C2211yescharacteristic
54C2×#14519746C2211yescharacteristic, complemented
55C2×#14519745C2211yescharacteristic
56C2×#14519745C2211yescharacteristic
57C2×C4×C22⋊D61C2211yescharacteristic, complemented
58C2×C4×C22⋊D61C2211yescharacteristic, complemented
59C2×C4×C22⋊D61C2211yescharacteristic, complemented
60C22×C22⋊Dic61C2211yescharacteristic
61C22×#11758198C2211yescharacteristic, complemented
62C22×#11758198C2211yescharacteristic, complemented
63#16839701C2211yescharacteristic, complemented
64#16839700C2211yescharacteristic, complemented
65#16839698C2211yescharacteristic, complemented
66#16839697C2211yescharacteristic, complemented
67#16839695C2211yescharacteristic, complemented
68#16839690C2211yescharacteristic, complemented
69#16839688C2211yescharacteristic, complemented
70#16839688C2211yescharacteristic, complemented
71#16839685C2211yescharacteristic, complemented
72#16839685C2211yescharacteristic, complemented
73#16839685C2211yescharacteristic, complemented
74#16839684C2211yescharacteristic, complemented
75#16839679C2211yescharacteristic, complemented
76#16839678C2211yescharacteristic, complemented
77#16839678C2211yescharacteristic, complemented
78#16839678C2211yescharacteristic, complemented
79#16839677C2211yescharacteristic, complemented
80#16839677C2211yescharacteristic, complemented
81#16839677C2211yescharacteristic, complemented
82#16839676C2211yescharacteristic, complemented
83#16839676C2211yescharacteristic, complemented
84#16839674C2211yescharacteristic, complemented
85#16839674C2211yescharacteristic, complemented
86#16839671C2211yescharacteristic, complemented
87#16839671C2211yescharacteristic, complemented
88#16839671C2211yescharacteristic, complemented
89#16839670C2211yescharacteristic
90#16839670C2211yescharacteristic
91#16839670C2211yescharacteristic
92#16839670C2211yescharacteristic
93#16839670C2211yescharacteristic, complemented
94#16839670C2211yescharacteristic, complemented
95#16839668C2211yescharacteristic, complemented
96#16839664C2211yescharacteristic, complemented
97#16839662C2211yescharacteristic, complemented
98#16839662C2211yescharacteristic, complemented
99#16839655C2211yescharacteristic, complemented
100#16839655C2211yescharacteristic, complemented
101#16839653C2211yescharacteristic, complemented
102#16839653C2211yescharacteristic, complemented
103#16839653C2211yescharacteristic, complemented
104#16839653C2211yescharacteristic, complemented
105#16839653C2211yescharacteristic, complemented
106#16839653C2211yescharacteristic, complemented
107#16839653C2211yescharacteristic, complemented
108#16839652C2211yescharacteristic, complemented
109#16839652C2211yescharacteristic, complemented
110#16839650C2211yescharacteristic, complemented
111#16839648C2211yescharacteristic, complemented
112#16839648C2211yescharacteristic, complemented
113#16839646C2211yescharacteristic, complemented
114#16839646C2211yescharacteristic, complemented
115#16839646C2211yescharacteristic, complemented
116#16839643C2211yescharacteristic, complemented
117#16839642C2211yescharacteristic
118#16839642C2211yescharacteristic
119#16839642C2211yescharacteristic
120#16839642C2211yescharacteristic
121#16839641C2211yescharacteristic
122#16839641C2211yescharacteristic
123#16839641C2211yescharacteristic
124#16839641C2211yescharacteristic
125#16839641C2211yescharacteristic
126#16839641C2211yescharacteristic
127#16839641C2211yescharacteristic
128#16839641C2211yescharacteristic
129#16839641C2211yescharacteristic, complemented
130#16839641C2211yescharacteristic, complemented
131#16839641C2211yescharacteristic, complemented
132#16839641C2211yescharacteristic, complemented
133#16839641C2211yescharacteristic, complemented
134#16839641C2211yescharacteristic, complemented
135#16839641C2211yescharacteristic, complemented
136#16839641C2211yescharacteristic, complemented
137#16839641C2211yescharacteristic, complemented
138#16839641C2211yescharacteristic, complemented
139#16839641C2211yescharacteristic, complemented
140#16839641C2211yescharacteristic, complemented
141#16839641C2211yescharacteristic, complemented
142#16839641C2211yescharacteristic, complemented
143#16839639C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839637C2211yescharacteristic, complemented
146#16839637C2211yescharacteristic, complemented
147#16839635C2211yescharacteristic, complemented
148#16839635C2211yescharacteristic, complemented
149#16839635C2211yescharacteristic, complemented
150#16839635C2211yescharacteristic, complemented
151#16839635C2211yescharacteristic, complemented
152#16839635C2211yescharacteristic, complemented
153#16839635C2211yescharacteristic, complemented
154#16839635C2211yescharacteristic, complemented
155#16839634C2211yescharacteristic, complemented
156#16839633C2211yescharacteristic, complemented
157#16839630C2211yescharacteristic, complemented
158#16839628C2211yescharacteristic, complemented
159#16839625C2211yescharacteristic, complemented
160#16839625C2211yescharacteristic, complemented
161#16839622C2211yescharacteristic, complemented
162#16839622C2211yescharacteristic, complemented
163#16839622C2211yescharacteristic, complemented
164#16839620C2211yescharacteristic, complemented
165#16839618C2211yescharacteristic
166#16839618C2211yescharacteristic, complemented
167#16839617C2211yescharacteristic, complemented
168C4×C22⋊Dic61C2211yescharacteristic, complemented
169C4×C22⋊Dic61C2211yescharacteristic, complemented
170C4×C22⋊Dic61C2211yescharacteristic, complemented
171C2×#14519684C2211yescharacteristic, complemented
172C2×#14519684C2211yescharacteristic, complemented
173C23×D4×C61C2211yescharacteristic
174C24×C4×C61C2211yescharacteristic
175C24×C4×C61C2211yescharacteristic, complemented
176C2×C4×D4×C61—28no—
177C2×C4×D4×C61C2211yescharacteristic
178C2×C4×D4×C61C2211yescharacteristic
179C2×C4×D4×C61C2211yescharacteristic
180C2×C4×D4×C61C2211yescharacteristic
181C2×C4×D4×C61C2211yescharacteristic, complemented
182C2×C4×D4×C61C2211yescharacteristic, complemented
183C2×C4×D4×C61C2211yescharacteristic, complemented
184C2×C4×D4×C61C2211yescharacteristic, complemented
185C22×C4⋊C4×C61C2211yescharacteristic, complemented
186C22×C22⋊C4×C61C2211yescharacteristic
187C22×C22⋊C4×C61C2211yescharacteristic, complemented
188C22×C42×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×C22⋊D61—24no—
194C22×C22⋊D61—42no—
195C22×C22⋊D61—42no—
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213#14519772—24no—
214#14519771—24no—
215#14519765—24no—
216#14519763—24no—
217#14519762—24no—
218#14519760—24no—
219#14519760—42no—
220#14519756—42no—
221#14519754—24no—
222#14519751—24no—
223#14519751—42no—
224#14519751—42no—
225#14519751—42no—
226#14519750—24no—
227#14519749—24no—
228#14519749—24no—
229#14519747—24no—
230#14519746—24no—
231#14519746—42no—
232#14519746—42no—
233#14519746—42no—
234#14519745—24no—
235#14519745—24no—
236C4×C22⋊D61—24no—
237C4×C22⋊D61—42no—
238C4×C22⋊D61—42no—
239C2×C4⋊Dic61C2311yescharacteristic
240C2×C4⋊Dic61C2311yescharacteristic
241C2×C4⋊Dic61C2311yescharacteristic
242C2×C4⋊Dic61C2311yescharacteristic
243C2×C4⋊Dic61C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×C22⋊Dic61—42no—
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×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×#11758198—24no—
280C2×#11758198—42no—
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×C4×Dic61C2311yescharacteristic
307C2×C4×Dic61C2311yescharacteristic
308C2×C4×Dic61C2311yescharacteristic
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
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341C25×C61C2311yescharacteristic
342C25×C61C2311yescharacteristic
343C22×D4×C61—24no—
344C22×D4×C61—24no—
345C22×D4×C61—24no—
346C22×D4×C61C2311yescharacteristic
347C22×D4×C61C2311yescharacteristic
348C22×D4×C61C2311yescharacteristic
349C22×D4×C61C2311yescharacteristic
350C23×C4×C61—24no—
351C23×C4×C61—24no—
352C23×C4×C61—42no—
353C23×C4×C61—42no—
354C23×C4×C61—42no—
355C23×C4×C61—42no—
356C23×C4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C23×C4×C61C2311yescharacteristic
359C23×C4×C61C2311yescharacteristic
360C23×C4×C61C2311yescharacteristic
361C23×C4×C61C2311yescharacteristic
362C23×C4×C61C2311yescharacteristic
363C23×C4×C61C2311yescharacteristic
364C23×C4×C61C2311yescharacteristic
365C23×C4×C61C2311yescharacteristic
366C23×C4×C61C2311yescharacteristic
367C23×C4×C61C2311yescharacteristic
368C23×C4×C61C2311yescharacteristic
369C4×D4×C61—24no—
370C4×D4×C61—24no—
371C4×D4×C61—24no—
372C4×D4×C61—24no—
373C4×D4×C61—24no—
374C4×D4×C61—24no—
375C4×D4×C61—24no—
376C4×D4×C61D418yescomplemented
377C2×C4⋊C4×C61—24no—
378C2×C4⋊C4×C61C2311yescharacteristic
379C2×C4⋊C4×C61C2311yescharacteristic
380C2×C4⋊C4×C61C2311yescharacteristic
381C2×C4⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61—24no—
383C2×C22⋊C4×C61—24no—
384C2×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389C2×C22⋊C4×C61C2311yescharacteristic
390C2×C22⋊C4×C61C2311yescharacteristic
391C2×C22⋊C4×C61C2311yescharacteristic
392C2×C42×C61—24no—
393C2×C42×C61C2311yescharacteristic
394C2×C42×C61C2311yescharacteristic
395C2×C42×C61C2311yescharacteristic
396C2×C42×C61C2311yescharacteristic
397C24×C61—22no—
398C24×C61—22no—
399C24×C61—22no—
400C24×C61—22no—
401C24×C61—22no—
402C24×C61—22no—
403C24×C61—22no—
404C24×C61—22no—
405C24×C61—22no—
406C24×C61—41no—
407C24×C61—41no—
408C24×C61—41no—
409C24×C61—41no—
410C24×C61#4114yes—
411C24×C61C2411yescharacteristic
412C24×C61C2411yescharacteristic
413C24×C61C2411yescharacteristic
414C24×C61C2411yescharacteristic
415C24×C61C2411yescharacteristic
416C23×D61—22no—
417C23×D61—22no—
418C23×D61—22no—
419C23×D61—41no—
420C23×D61—41no—
421C23×D61—41no—
422C23×D61—41no—
423C23×D61C2411yescharacteristic
424C23×D61C2411yescharacteristic
425C23×D61C2411yescharacteristic
426C2×D4×C61—232no—
427C2×D4×C61—22no—
428C2×D4×C61—22no—
429C2×D4×C61—22no—
430C2×D4×C61—22no—
431C2×D4×C61—22no—
432C2×D4×C61—22no—
433C2×D4×C61—22no—
434C2×D4×C61—22no—
435C2×D4×C61—22no—
436C2×D4×C61—22no—
437C2×D4×C61C2×D414yes—
438C2×D4×C61#4114yes—
439C22×C4×C61—22no—
440C22×C4×C61—22no—
441C22×C4×C61—22no—
442C22×C4×C61—22no—
443C22×C4×C61—22no—
444C22×C4×C61—22no—
445C22×C4×C61—22no—
446C22×C4×C61—22no—
447C22×C4×C61—22no—
448C22×C4×C61—22no—
449C22×C4×C61—22no—
450C22×C4×C61—22no—
451C22×C4×C61—22no—
452C22×C4×C61—22no—
453C22×C4×C61—22no—
454C22×C4×C61—22no—
455C22×C4×C61—22no—
456C22×C4×C61—22no—
457C22×C4×C61—22no—
458C22×C4×C61—22no—
459C22×C4×C61—22no—
460C22×C4×C61—22no—
461C22×C4×C61—41no—
462C22×C4×C61—41no—
463C22×C4×C61—41no—
464C22×C4×C61—41no—
465C22×C4×C61—41no—
466C22×C4×C61—41no—
467C22×C4×C61—41no—
468C22×C4×C61—41no—
469C22×C4×C61—41no—
470C22×C4×C61—41no—
471C22×C4×C61—41no—
472C22×C4×C61—41no—
473C22×C4×C61—41no—
474C22×C4×C61—41no—
475C22×C4×C61—41no—
476C22×C4×C61—416no—
477C22×C4×C61—416no—
478C22×C4×C61C2×D414yes—
479C22×C4×C61C2×D414yescomplemented
480C22×C4×C61C2411yescharacteristic
481C22×C4×C61C2411yescharacteristic
482C22×C4×C61C2411yescharacteristic
483C22×C4×C61C2411yescharacteristic
484C22×C4×C61C2411yescharacteristic
485C22×C4×C61C2411yescharacteristic
486C22×C4×C61C2411yescharacteristic
487C22×C4×C61C2411yescharacteristic
488C22×C4×C61C2411yescharacteristic
489C22×C4×C61C2411yescharacteristic
490C2×C22⋊D61—22no—
491C2×C22⋊D61—22no—
492C2×C22⋊D61—22no—
493C2×C22⋊D61—22no—
494C2×C22⋊D61—22no—
495C2×C22⋊D61—22no—
496C2×C22⋊D61—22no—
497C2×C22⋊D61—22no—
498C2×C22⋊D61—22no—
499C2×C22⋊D61—22no—
500C2×C22⋊D61—22no—
501C2×C22⋊D61—22no—
502C2×C22⋊D61—22no—
503C2×C22⋊D61—22no—
504C2×C22⋊D61—22no—
505C2×C22⋊D61—22no—
506C2×C22⋊D61—22no—
507C2×C22⋊D61—22no—
508C2×C22⋊D61—22no—
509C2×C22⋊D61—22no—
510C2×C22⋊D61—22no—
511C2×C22⋊D61—41no—
512C2×C22⋊D61—41no—
513C2×C22⋊D61—41no—
514C2×C22⋊D61—41no—
515C2×C22⋊D61—41no—
516C2×C22⋊D61—41no—
517C2×C22⋊D61—41no—
518C2×C22⋊D61—41no—
519C2×C22⋊D61—41no—
520C2×C22⋊D61—41no—
521C2×C22⋊D61—41no—
522C2×C22⋊D61—41no—
523C2×C22⋊D61—41no—
524C2×C22⋊D61—41no—
525C2×C22⋊D61—41no—
526C2×C22⋊D61—41no—
527C2×C22⋊D61—41no—
528C2×C22⋊D61—41no—
529C2×C22⋊D61—416no—
530C22×Dic61—22no—
531C22×Dic61—22no—
532C22×Dic61—22no—
533C22×Dic61—41no—
534C22×Dic61—41no—
535C22×Dic61—41no—
536C22×Dic61—41no—
537C22×Dic61—41no—
538C22×Dic61—41no—
539C22×Dic61C2411yescharacteristic
540C22×Dic61C2411yescharacteristic
541C22×Dic61C2411yescharacteristic
542C22×Dic61C2411yescharacteristic
543C22×Dic61C2411yescharacteristic
544C22×Dic61C2411yescharacteristic
545C22×Dic61C2411yescharacteristic
546C22×Dic61C2411yescharacteristic
547C22×Dic61C2411yescharacteristic
548C22×Dic61C2411yescharacteristic
549C22×Dic61C2411yescharacteristic
550C22×Dic61C2411yescharacteristic
551C22×Dic61C2411yescharacteristic
552C2×D244—22no—
553C2×D244—22no—
554C2×D244—41no—
555C2×D244—41no—
556C2×D244—41no—
557C2×D244—41no—
558C2×C4×D61—22no—
559C2×C4×D61—41no—
560C2×C4×D61—41no—
561C2×Dic122—22no—
562C2×Dic122—41no—
563C2×Dic122—41no—
564C4⋊C4×C61—22no—
565C4⋊C4×C61—22no—
566C4⋊C4×C61—22no—
567C4⋊C4×C61C2×D414yescomplemented
568C22⋊C4×C61—22no—
569C22⋊C4×C61—22no—
570C22⋊C4×C61—22no—
571C22⋊C4×C61—22no—
572C22⋊C4×C61—22no—
573C22⋊C4×C61—22no—
574C22⋊C4×C61C2×D414yes—
575C22⋊C4×C61C2×D414yescomplemented
576C42×C61—22no—
577C42×C61—22no—
578C42×C61—22no—
579C42×C61C2×D414yescomplemented
580C22⋊Dic61—22no—
581C22⋊Dic61—22no—
582C22⋊Dic61—22no—
583C22⋊Dic61—22no—
584C22⋊Dic61—22no—
585C22⋊Dic61—22no—
586C22⋊Dic61—22no—
587C22⋊Dic61—22no—
588C22⋊Dic61—22no—
589C22⋊Dic61—22no—
590C22⋊Dic61—22no—
591C22⋊Dic61—41no—
592C22⋊Dic61—41no—
593C22⋊Dic61—41no—
594C22⋊Dic61—41no—
595C22⋊Dic61—41no—
596C22⋊Dic61—41no—
597C22⋊Dic61—41no—
598C22⋊Dic61—41no—
599C22⋊Dic61—41no—
600C22⋊Dic61—41no—
601C22⋊Dic61—41no—
602C22⋊Dic61—41no—
603#11758198—22no—
604#11758198—22no—
605#11758198—22no—
606#11758198—22no—
607#11758198—22no—
608#11758198—22no—
609#11758198—22no—
610#11758198—22no—
611#11758198—22no—
612#11758198—22no—
613#11758198—22no—
614#11758198—22no—
615#11758198—22no—
616#11758198—22no—
617#11758198—22no—
618#11758198—22no—
619#11758198—41no—
620#11758198—41no—
621#11758198—41no—
622#11758198—41no—
623#11758198—41no—
624#11758198—41no—
625#11758198—41no—
626#11758198—41no—
627#11758198—41no—
628C4⋊Dic61—22no—
629C4⋊Dic61—41no—
630C4⋊Dic61—41no—
631C4⋊Dic61—41no—
632C4⋊Dic61—41no—
633#11758196—22no—
634#11758196—22no—
635#11758196—22no—
636#11758196—22no—
637#11758196—22no—
638#11758196—22no—
639#11758196—41no—
640#11758196—41no—
641#11758196—41no—
642#11758196—41no—
643#11758196—41no—
644C4×Dic61—22no—
645C4×Dic61—41no—
646C4×Dic61—41no—
647C23×C61—21no—
648C23×C61—21no—
649C23×C61—21no—
650C23×C61—21no—
651C23×C61—21no—
652C23×C61—21no—
653C23×C61—21no—
654C23×C61—21no—
655C23×C61—28no—
656C23×C61—28no—
657C23×C61—28no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61—21no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61—21no—
668C23×C61—21no—
669C23×C61—21no—
670C23×C61—21no—
671C23×C61—21no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—21no—
676C23×C61—44no—
677C23×C61—44no—
678C23×C61—44no—
679C23×C61—44no—
680C23×C61—44no—
681C23×C61—44no—
682C23×C61—44no—
683C23×C61—44no—
684C23×C61—44no—
685C23×C61—44no—
686C23×C61—44no—
687C23×C61C22×D412yes—
688C23×C61C22×D412yes—
689C23×C61C2×#4112yes—
690C23×C61C2×#4112yes—
691C23×C61C2×#4112yes—
692C23×C61C2×#4112yes—
693C23×C61C2×#4112yes—
694C23×C61H(5,𝔽2)12yes—
695C23×C61H(5,𝔽2)12yes—
696C23×C61C2511yescharacteristic
697C22×D61—21no—
698C22×D61—21no—
699C22×D61—21no—
700C22×D61—21no—
701C22×D61—21no—
702C22×D61—21no—
703C22×D61—21no—
704C22×D61—21no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—21no—
718C22×D61—44no—
719C22×D61—44no—
720C22×D61—44no—
721C22×D61—82no—
722C22×D61—82no—
723C22×D61—82no—
724C22×D61—82no—
725D4×C61—28no—
726D4×C61—28no—
727D4×C61—28no—
728D4×C61—28no—
729C2×C4×C61—28no—
730C2×C4×C61—28no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—44no—
755C2×C4×C61—44no—
756C2×C4×C61—44no—
757C2×C4×C61—44no—
758C2×C4×C61—44no—
759C2×C4×C61—44no—
760C2×C4×C61—44no—
761C2×C4×C61—44no—
762C2×C4×C61—44no—
763C2×C4×C61—44no—
764C2×C4×C61—44no—
765C2×C4×C61C22×D412yes—
766C2×C4×C61C22×D412yes—
767C2×C4×C61C22×D412yes—
768C2×C4×C61C22×D412yes—
769C2×C4×C61C22×D412yes—
770C2×C4×C61C2×#4112yes—
771C2×C4×C61H(5,𝔽2)12yes—
772C22⋊D61—44no—
773C22⋊D61—44no—
774C22⋊D61—44no—
775C22⋊D61—44no—
776C22⋊D61—44no—
777C22⋊D61—44no—
778C22⋊D61—44no—
779C22⋊D61—82no—
780C22⋊D61—82no—
781C22⋊D61—82no—
782C22⋊D61—82no—
783C22⋊D61—82no—
784C22⋊D61—82no—
785C2×Dic61—21no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—21no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—21no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—21no—
820C2×Dic61—21no—
821C2×Dic61—21no—
822C2×Dic61—21no—
823C2×Dic61—21no—
824C2×Dic61—44no—
825C2×Dic61—82no—
826C2×Dic61—82no—
827D244—82no—
828D244—82no—
829C4×D61—82no—
830Dic122—82no—
831#34990—611nomaximal, Sylow
832C22×C61—22no—
833C22×C61—22no—
834C22×C61—22no—
835C22×C61—22no—
836C22×C61—22no—
837C22×C61—22no—
838C22×C61—22no—
839C22×C61—22no—
840C22×C61—22no—
841C22×C61—22no—
842C22×C61—22no—
843C22×C61—22no—
844C22×C61—22no—
845C22×C61—22no—
846C22×C61—22no—
847C22×C61—22no—
848C22×C61—22no—
849C22×C61—22no—
850C22×C61—22no—
851C22×C61—22no—
852C22×C61—22no—
853C22×C61—416no—
854C22×C61—416no—
855C22×C61—41no—
856C22×C61—41no—
857C22×C61—41no—
858C22×C61—41no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61#52514yes—
868C22×C61#53814yescomplemented
869C22×C61C23×D411yescharacteristic
870C22×C61C22×#4111yescharacteristic
871C22×C61C22×#4111yescharacteristic
872C22×C61C2×H(5,𝔽2)11yescharacteristic
873C22×C61C2×H(5,𝔽2)11yescharacteristic
874C22×C61C2×H(5,𝔽2)11yescharacteristic
875C22×C61#58511yescharacteristic
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—41no—
881C2×D61—41no—
882C2×D61—41no—
883C2×D61—41no—
884C2×D61—41no—
885C2×D61—41no—
886C2×D61—41no—
887C2×D61—41no—
888C2×D61—41no—
889C2×D61—41no—
890C2×D61—41no—
891C2×D61—41no—
892C2×D61—41no—
893C2×D61—41no—
894C2×D61—41no—
895C2×D61—41no—
896C2×D61—41no—
897C2×D61—88no—
898C4×C61—22no—
899C4×C61—22no—
900C4×C61—22no—
901C4×C61—22no—
902C4×C61—22no—
903C4×C61—22no—
904C4×C61—22no—
905C4×C61—41no—
906C4×C61—41no—
907C4×C61—41no—
908Dic61—41no—
909Dic61—41no—
910Dic61—41no—
911Dic61—41no—
912Dic61—41no—
913Dic61—41no—
914Dic61—41no—
915Dic61—41no—
916Dic61—41no—
917Dic61—41no—
918Dic61—41no—
919Dic61—41no—
920Dic61—41no—
921C2×#538—611no—
922C22×C4×D4D6111yescharacteristic, complemented
923#2852—611no—
924#2850—611no—
925#2849—611no—
926#2847—611no—
927#2636—611no—
928#2635—611no—
929#2631—611no—
930#2630—611no—
931#2481—611no—
932#2472—611no—
933#2467—611no—
934#2459—611no—
935#2456—611no—
936#2456—611no—
937#2450—611no—
938#2444—611no—
939#2443—611no—
940#2437—611no—
941#2424—611no—
942#2424—611no—
943#2418—611no—
944#2410—611no—
945#2410—611no—
946#2403—611no—
947#2325—611no—
948#2321—611no—
949#2318—611no—
950C4×#120—611no—
951C2×#386—611no—
952C2×C61—24no—
953C2×C61—24no—
954C2×C61—42no—
955C2×C61—42no—
956C2×C61—42no—
957C2×C61C2×#52511yescharacteristic
958C2×C61C2×#53811yescharacteristic
959C2×C61#345911yescharacteristic
960C2×C61#348411yescharacteristic
961C2×C61#348811yescharacteristic
962C2×C61#351311yescharacteristic
963C2×C61#351911yescharacteristic
964D61—81no—
965D61—81no—
966D61—81no—
967C23×D4—611no—
968C23×D4C2×D6111yescharacteristic
969C24×C4C2×D6111yescharacteristic
970C24×C4C2×D6111yescharacteristic, complemented
971#538—1228no—
972C2×#126—611no—
973C2×#126—611no—
974C2×#124—611no—
975C2×#124—611no—
976C2×#123—611no—
977C2×#123—611no—
978C2×#123—611no—
979C2×C22⋊Q8—611no—
980C2×C22⋊Q8—611no—
981C2×#121—611no—
982C2×#121—611no—
983C2×#121—611no—
984C2×#121—611no—
985C2×#121—611no—
986C2×#121—611no—
987C2×#121—611no—
988C2×#120—611no—
989C2×#120—611no—
990C2×#120—611no—
991C2×#120—611no—
992C2×#120—611no—
993C2×#120—611no—
994C2×#120—611no—
995C2×C4×D4—28no—
996C2×C4×D4—611no—
997C2×C4×D4—611no—
998C2×C4×D4—611no—
999C2×C4×D4C2×D6111yescharacteristic
1000C2×C4×D4C2×D6111yescharacteristic
1001C2×C4×D4C2×D6111yescharacteristic
1002C2×C4×D4C2×D6111yescharacteristic
1003C2×C4×D4C2×D6111yescharacteristic, complemented
1004C2×C4×D4C2×D6111yescharacteristic, complemented
1005C2×C4×D4C2×D6111yescharacteristic, complemented
1006C2×C4×D4C2×D6111yescharacteristic, complemented
1007C22×C4⋊C4C2×D6111yescharacteristic, complemented
1008C22×C22⋊C4—611no—
1009C22×C22⋊C4—611no—
1010C22×C22⋊C4—611no—
1011C22×C22⋊C4C2×D6111yescharacteristic
1012C22×C22⋊C4C2×D6111yescharacteristic, complemented
1013C22×C42C2×D6111yescharacteristic, complemented
1014#400—611no—
1015#400—611no—
1016#399—611no—
1017#399—611no—
1018#398—611no—
1019#397—611no—
1020#397—611no—
1021#397—611no—
1022#396—611no—
1023#396—611no—
1024#396—611no—
1025#396—611no—
1026#394—611no—
1027#394—611no—
1028#394—611no—
1029#394—611no—
1030#394—611no—
1031#394—611no—
1032#394—611no—
1033#394—611no—
1034#394—611no—
1035#393—611no—
1036#393—611no—
1037#392—611no—
1038#392—611no—
1039#392—611no—
1040#392—611no—
1041#392—611no—
1042#392—611no—
1043#392—611no—
1044#392—611no—
1045#392—611no—
1046#391—611no—
1047#390—611no—
1048#390—611no—
1049#390—611no—
1050#388—611no—
1051#388—611no—
1052#388—611no—
1053#388—611no—
1054#388—611no—
1055#388—611no—
1056#388—611no—
1057#388—611no—
1058#388—611no—
1059#388—611no—
1060#388—611no—
1061#388—611no—
1062#387—611no—
1063#387—611no—
1064#387—611no—
1065#387—611no—
1066#387—611no—
1067#387—611no—
1068#386—611no—
1069#386—611no—
1070#386—611no—
1071#386—611no—
1072#386—611no—
1073#386—611no—
1074#386—611no—
1075#386—611no—
1076#386—611no—
1077#386—611no—
1078#386—611no—
1079#386—611no—
1080#386—611no—
1081#386—611no—
1082#386—611no—
1083#386—611no—
1084#386—611no—
1085#386—611no—
1086#386—611no—
1087#386—611no—
1088#386—611no—
1089#386—611no—
1090#386—611no—
1091#386—611no—
1092#386—611no—
1093#386—611no—
1094#386—611no—
1095#386—611no—
1096#385—611no—
1097#385—611no—
1098#385—611no—
1099#385—611no—
1100#385—611no—
1101#385—611no—
1102#385—611no—
1103#385—611no—
1104#385—611no—
1105#385—611no—
1106#385—611no—
1107#385—611no—
1108#383—611no—
1109#382—611no—
1110#381—611no—
1111#381—611no—
1112#380—611no—
1113#380—611no—
1114#380—611no—
1115#380—611no—
1116#379—611no—
1117#379—611no—
1118#379—611no—
1119C4×C22⋊C4—611no—
1120C4×C22⋊C4—611no—
1121C4×C22⋊C4—611no—
1122C2×#95—611no—
1123C2×#95—611no—
1124C61#3499011yescharacteristic, complemented, Sylow
1125C25—611no—
1126C25C22×D6111yescharacteristic
1127C25C22×D6111yescharacteristic
1128C22×Q8—611no—
1129C22×D4—24no—
1130C22×D4—24no—
1131C22×D4—24no—
1132C22×D4—611no—
1133C22×D4—611no—
1134C22×D4—611no—
1135C22×D4—611no—
1136C22×D4—611no—
1137C22×D4—611no—
1138C22×D4—611no—
1139C22×D4—611no—
1140C22×D4—611no—
1141C22×D4—611no—
1142C22×D4—611no—
1143C22×D4—611no—
1144C22×D4—611no—
1145C22×D4—611no—
1146C22×D4—611no—
1147C22×D4—1224no—
1148C22×D4—2442no—
1149C22×D4—2442no—
1150C22×D4C22×D6111yescharacteristic
1151C22×D4C22×D6111yescharacteristic
1152C22×D4C22×D6111yescharacteristic
1153C22×D4C22×D6111yescharacteristic
1154C23×C4—24no—
1155C23×C4—24no—
1156C23×C4—42no—
1157C23×C4—42no—
1158C23×C4—42no—
1159C23×C4—42no—
1160C23×C4—611no—
1161C23×C4—611no—
1162C23×C4—611no—
1163C23×C4—611no—
1164C23×C4C22×D6111yescharacteristic
1165C23×C4C22×D6111yescharacteristic
1166C23×C4C22×D6111yescharacteristic
1167C23×C4C22×D6111yescharacteristic
1168C23×C4C22×D6111yescharacteristic
1169C23×C4C22×D6111yescharacteristic
1170C23×C4C22×D6111yescharacteristic
1171C23×C4C22×D6111yescharacteristic
1172C23×C4C22×D6111yescharacteristic
1173C23×C4C22×D6111yescharacteristic
1174C23×C4C22×D6111yescharacteristic
1175C23×C4C22×D6111yescharacteristic
1176C23×C4C22×D6111yescharacteristic
1177#126—1224no—
1178#126—1224no—
1179#124—1224no—
1180#124—1224no—
1181#123—1224no—
1182#123—1224no—
1183#123—2442no—
1184C22⋊Q8—1224no—
1185C22⋊Q8—2442no—
1186#121—1224no—
1187#121—1224no—
1188#121—1224no—
1189#121—1224no—
1190#121—2442no—
1191#121—2442no—
1192#121—2442no—
1193#120—1224no—
1194#120—1224no—
1195#120—1224no—
1196#120—1224no—
1197#120—2442no—
1198#120—2442no—
1199#120—2442no—
1200C4×D4—24no—
1201C4×D4—24no—
1202C4×D4—24no—
1203C4×D4—24no—
1204C4×D4—24no—
1205C4×D4—24no—
1206C4×D4—24no—
1207C4×D4—1224no—
1208C4×D4—2442no—
1209C4×D4—2442no—
1210C4×D4C22⋊D6118yescomplemented
1211C2×C4⋊C4—24no—
1212C2×C4⋊C4—611no—
1213C2×C4⋊C4—611no—
1214C2×C4⋊C4—611no—
1215C2×C4⋊C4—611no—
1216C2×C4⋊C4—611no—
1217C2×C4⋊C4—611no—
1218C2×C4⋊C4—611no—
1219C2×C4⋊C4—611no—
1220C2×C4⋊C4—611no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4C22×D6111yescharacteristic
1229C2×C4⋊C4C22×D6111yescharacteristic
1230C2×C4⋊C4C22×D6111yescharacteristic
1231C2×C4⋊C4C22×D6111yescharacteristic
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—24no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—611no—
1243C2×C22⋊C4—611no—
1244C2×C22⋊C4—611no—
1245C2×C22⋊C4—611no—
1246C2×C22⋊C4—611no—
1247C2×C22⋊C4—611no—
1248C2×C22⋊C4—611no—
1249C2×C22⋊C4—611no—
1250C2×C22⋊C4—611no—
1251C2×C22⋊C4—611no—
1252C2×C22⋊C4—611no—
1253C2×C22⋊C4—611no—
1254C2×C22⋊C4—611no—
1255C2×C22⋊C4—611no—
1256C2×C22⋊C4—611no—
1257C2×C22⋊C4—611no—
1258C2×C22⋊C4—611no—
1259C2×C22⋊C4—611no—
1260C2×C22⋊C4—611no—
1261C2×C22⋊C4—611no—
1262C2×C22⋊C4—611no—
1263C2×C22⋊C4—611no—
1264C2×C22⋊C4—611no—
1265C2×C22⋊C4—611no—
1266C2×C22⋊C4—611no—
1267C2×C22⋊C4—611no—
1268C2×C22⋊C4—611no—
1269C2×C22⋊C4—611no—
1270C2×C22⋊C4—611no—
1271C2×C22⋊C4—611no—
1272C2×C22⋊C4—611no—
1273C2×C22⋊C4—611no—
1274C2×C22⋊C4—611no—
1275C2×C22⋊C4—611no—
1276C2×C22⋊C4—611no—
1277C2×C22⋊C4—611no—
1278C2×C22⋊C4—611no—
1279C2×C22⋊C4—611no—
1280C2×C22⋊C4—611no—
1281C2×C22⋊C4—611no—
1282C2×C22⋊C4—1224no—
1283C2×C22⋊C4—2442no—
1284C2×C22⋊C4—2442no—
1285C2×C22⋊C4C22×D6111yescharacteristic
1286C2×C22⋊C4C22×D6111yescharacteristic
1287C2×C22⋊C4C22×D6111yescharacteristic
1288C2×C22⋊C4C22×D6111yescharacteristic
1289C2×C22⋊C4C22×D6111yescharacteristic
1290C2×C22⋊C4C22×D6111yescharacteristic
1291C2×C22⋊C4C22×D6111yescharacteristic
1292C2×C22⋊C4C22×D6111yescharacteristic
1293C2×C42—24no—
1294C2×C42—611no—
1295C2×C42—611no—
1296C2×C42—611no—
1297C2×C42C22×D6111yescharacteristic
1298C2×C42C22×D6111yescharacteristic
1299C2×C42C22×D6111yescharacteristic
1300C2×C42C22×D6111yescharacteristic
1301#95—611no—
1302#95—611no—
1303#95—611no—
1304#95—611no—
1305#95—611no—
1306#95—611no—
1307#95—611no—
1308#95—611no—
1309#95—611no—
1310#95—611no—
1311#95—611no—
1312#95—611no—
1313#95—611no—
1314#95—611no—
1315#95—611no—
1316#95—611no—
1317#95—611no—
1318#95—611no—
1319#95—611no—
1320#95—611no—
1321#95—611no—
1322#95—611no—
1323#95—611no—
1324#95—611no—
1325#95—611no—
1326#95—611no—
1327#95—611no—
1328#95—611no—
1329#95—611no—
1330#95—611no—
1331#95—611no—
1332#95—611no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—22no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—41no—
1346C24—611no—
1347C24—611no—
1348C24—611no—
1349C24—1222no—
1350C24—1222no—
1351C24—1222no—
1352C24—2441no—
1353C24—2441no—
1354C24—2441no—
1355C24—2441no—
1356C24#1175822214yes—
1357C24C23×D6111yescharacteristic
1358C24C23×D6111yescharacteristic
1359C24C23×D6111yescharacteristic
1360C24C23×D6111yescharacteristic
1361C24C23×D6111yescharacteristic
1362C2×Q8—1222no—
1363C2×Q8—2441no—
1364C2×Q8—2441no—
1365C2×D4—232no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—1222no—
1377C2×D4—1222no—
1378C2×D4—1222no—
1379C2×D4—1222no—
1380C2×D4—1222no—
1381C2×D4—1222no—
1382C2×D4—1222no—
1383C2×D4—1222no—
1384C2×D4—1222no—
1385C2×D4—1222no—
1386C2×D4—1222no—
1387C2×D4—1222no—
1388C2×D4—1222no—
1389C2×D4—1222no—
1390C2×D4—1222no—
1391C2×D4—1222no—
1392C2×D4—1222no—
1393C2×D4—1222no—
1394C2×D4—1222no—
1395C2×D4—1222no—
1396C2×D4—1222no—
1397C2×D4—1222no—
1398C2×D4—1222no—
1399C2×D4—2441no—
1400C2×D4—2441no—
1401C2×D4—2441no—
1402C2×D4—2441no—
1403C2×D4—2441no—
1404C2×D4—2441no—
1405C2×D4—2441no—
1406C2×D4—2441no—
1407C2×D4—2441no—
1408C2×D4—2441no—
1409C2×D4—2441no—
1410C2×D4—2441no—
1411C2×D4—2441no—
1412C2×D4—2441no—
1413C2×D4—2441no—
1414C2×D4—2441no—
1415C2×D4—2441no—
1416C2×D4—2441no—
1417C2×D4—2441no—
1418C2×D4—2441no—
1419C2×D4—2441no—
1420C2×D4—2441no—
1421C2×D4—24416no—
1422C2×D4#1175822214yes—
1423C2×D4C2×C22⋊D6114yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—41no—
1460C22×C4—41no—
1461C22×C4—416no—
1462C22×C4—416no—
1463C22×C4—611no—
1464C22×C4—611no—
1465C22×C4—611no—
1466C22×C4—611no—
1467C22×C4—611no—
1468C22×C4—611no—
1469C22×C4—611no—
1470C22×C4—611no—
1471C22×C4—611no—
1472C22×C4—611no—
1473C22×C4—611no—
1474C22×C4—611no—
1475C22×C4—611no—
1476C22×C4—1222no—
1477C22×C4—1222no—
1478C22×C4—1222no—
1479C22×C4—1222no—
1480C22×C4—2441no—
1481C22×C4—2441no—
1482C22×C4—2441no—
1483C22×C4—2441no—
1484C22×C4—2441no—
1485C22×C4—2441no—
1486C22×C4—2441no—
1487C22×C4—2441no—
1488C22×C4C2×C22⋊D6114yes—
1489C22×C4C2×C22⋊D6114yescomplemented
1490C22×C4C23×D6111yescharacteristic
1491C22×C4C23×D6111yescharacteristic
1492C22×C4C23×D6111yescharacteristic
1493C22×C4C23×D6111yescharacteristic
1494C22×C4C23×D6111yescharacteristic
1495C22×C4C23×D6111yescharacteristic
1496C22×C4C23×D6111yescharacteristic
1497C22×C4C23×D6111yescharacteristic
1498C22×C4C23×D6111yescharacteristic
1499C22×C4C23×D6111yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—1222no—
1504C4⋊C4—1222no—
1505C4⋊C4—1222no—
1506C4⋊C4—1222no—
1507C4⋊C4—1222no—
1508C4⋊C4—1222no—
1509C4⋊C4—1222no—
1510C4⋊C4—2441no—
1511C4⋊C4—2441no—
1512C4⋊C4—2441no—
1513C4⋊C4—2441no—
1514C4⋊C4—2441no—
1515C4⋊C4—2441no—
1516C4⋊C4—2441no—
1517C4⋊C4—2441no—
1518C4⋊C4—2441no—
1519C4⋊C4C2×C22⋊D6114yescomplemented
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—1222no—
1527C22⋊C4—1222no—
1528C22⋊C4—1222no—
1529C22⋊C4—1222no—
1530C22⋊C4—1222no—
1531C22⋊C4—1222no—
1532C22⋊C4—1222no—
1533C22⋊C4—1222no—
1534C22⋊C4—1222no—
1535C22⋊C4—1222no—
1536C22⋊C4—1222no—
1537C22⋊C4—1222no—
1538C22⋊C4—1222no—
1539C22⋊C4—1222no—
1540C22⋊C4—1222no—
1541C22⋊C4—1222no—
1542C22⋊C4—1222no—
1543C22⋊C4—1222no—
1544C22⋊C4—1222no—
1545C22⋊C4—1222no—
1546C22⋊C4—1222no—
1547C22⋊C4—1222no—
1548C22⋊C4—1222no—
1549C22⋊C4—1222no—
1550C22⋊C4—1222no—
1551C22⋊C4—1222no—
1552C22⋊C4—1222no—
1553C22⋊C4—2441no—
1554C22⋊C4—2441no—
1555C22⋊C4—2441no—
1556C22⋊C4—2441no—
1557C22⋊C4—2441no—
1558C22⋊C4—2441no—
1559C22⋊C4—2441no—
1560C22⋊C4—2441no—
1561C22⋊C4—2441no—
1562C22⋊C4—2441no—
1563C22⋊C4—2441no—
1564C22⋊C4—2441no—
1565C22⋊C4—2441no—
1566C22⋊C4—2441no—
1567C22⋊C4—2441no—
1568C22⋊C4—2441no—
1569C22⋊C4—2441no—
1570C22⋊C4—2441no—
1571C22⋊C4—2441no—
1572C22⋊C4—2441no—
1573C22⋊C4—2441no—
1574C22⋊C4C2×C22⋊D6114yes—
1575C22⋊C4C2×C22⋊D6114yescomplemented
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—1222no—
1580C42—2441no—
1581C42—2441no—
1582C42C2×C22⋊D6114yescomplemented
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—28no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—28no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—1221no—
1624C23—1221no—
1625C23—1221no—
1626C23—1221no—
1627C23—1221no—
1628C23—1221no—
1629C23—1221no—
1630C23—1221no—
1631C23—1221no—
1632C23—1221no—
1633C23—1221no—
1634C23—1221no—
1635C23—1221no—
1636C23—1221no—
1637C23—1221no—
1638C23—1221no—
1639C23—1221no—
1640C23—1221no—
1641C23—1221no—
1642C23—1221no—
1643C23—1221no—
1644C23—4882no—
1645C23—4882no—
1646C23—4882no—
1647C23—4882no—
1648C23—2444no—
1649C23—2444no—
1650C23—2444no—
1651C23C22×C22⋊D6112yes—
1652C23C22×C22⋊D6112yes—
1653C23C2×#1175822212yes—
1654C23C2×#1175822212yes—
1655C23C2×#1175822212yes—
1656C23C2×#1175822212yes—
1657C23C2×#1175822212yes—
1658C23#1451982212yes—
1659C23#1451982312yes—
1660C23C24×D6111yescharacteristic
1661Q8—4882no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—28no—
1666D4—4882no—
1667D4—4882no—
1668D4—4882no—
1669D4—4882no—
1670D4—4882no—
1671D4—4882no—
1672D4—4882no—
1673D4—4882no—
1674D4—2444no—
1675D4—2444no—
1676D4—2444no—
1677D4—2444no—
1678D4—2444no—
1679D4—2444no—
1680D4—2444no—
1681C2×C4—28no—
1682C2×C4—28no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—1221no—
1718C2×C4—1221no—
1719C2×C4—1221no—
1720C2×C4—1221no—
1721C2×C4—1221no—
1722C2×C4—1221no—
1723C2×C4—1221no—
1724C2×C4—1221no—
1725C2×C4—1221no—
1726C2×C4—1221no—
1727C2×C4—1221no—
1728C2×C4—1221no—
1729C2×C4—1221no—
1730C2×C4—1221no—
1731C2×C4—1221no—
1732C2×C4—1221no—
1733C2×C4—1221no—
1734C2×C4—1221no—
1735C2×C4—1221no—
1736C2×C4—1221no—
1737C2×C4—1221no—
1738C2×C4—1221no—
1739C2×C4—1221no—
1740C2×C4—1221no—
1741C2×C4—1221no—
1742C2×C4—1221no—
1743C2×C4—1221no—
1744C2×C4—1221no—
1745C2×C4—1221no—
1746C2×C4—1221no—
1747C2×C4—1221no—
1748C2×C4—1221no—
1749C2×C4—1221no—
1750C2×C4—1221no—
1751C2×C4—1221no—
1752C2×C4—1221no—
1753C2×C4—1221no—
1754C2×C4—1221no—
1755C2×C4—1221no—
1756C2×C4—4882no—
1757C2×C4—4882no—
1758C2×C4—4882no—
1759C2×C4—2444no—
1760C2×C4C22×C22⋊D6112yes—
1761C2×C4C22×C22⋊D6112yes—
1762C2×C4C22×C22⋊D6112yes—
1763C2×C4C22×C22⋊D6112yes—
1764C2×C4C22×C22⋊D6112yes—
1765C2×C4C2×#1175822212yes—
1766C2×C4#1451982212yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—416no—
1789C22—416no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—4888no—
1803C22—2441no—
1804C22—2441no—
1805C22—2441no—
1806C22—2441no—
1807C22—2441no—
1808C22—2441no—
1809C22—2441no—
1810C22—2441no—
1811C22—2441no—
1812C22—2441no—
1813C22—2441no—
1814C22—2441no—
1815C22—2441no—
1816C22—2441no—
1817C22—2441no—
1818C22—2441no—
1819C22—2441no—
1820C22—2441no—
1821C22—2441no—
1822C22—2441no—
1823C22—2441no—
1824C22#1684027314yes—
1825C22#1684034514yescomplemented
1826C22C23×C22⋊D6111yescharacteristic
1827C22C22×#1175822211yescharacteristic
1828C22C22×#1175822211yescharacteristic
1829C22C2×#1451982211yescharacteristic
1830C22C2×#1451982211yescharacteristic
1831C22C2×#1451982311yescharacteristic
1832C22#1684059811yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—2441no—
1844C4—2441no—
1845C4—2441no—
1846C4—2441no—
1847C4—2441no—
1848C4—2441no—
1849C4—2441no—
1850C4—2441no—
1851C4—2441no—
1852C4—2441no—
1853C4—2441no—
1854C4—2441no—
1855C4—2441no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—42no—
1860C2—42no—
1861C2—4881no—
1862C2—4881no—
1863C2—4881no—
1864C2C2×#1684027311yescharacteristic
1865C2C2×#1684034511yescharacteristic
1866C2#2145922811yescharacteristic
1867C2#2145945411yescharacteristic
1868C2#2145948811yescharacteristic
1869C2#2145975911yescharacteristic
1870C2#2145985111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC22×C4×D4×C61C2
hypercenterC22×C4×D4D61
hypocenterC61#34990
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#16840345C2semidirect
2. #21454134C2semidirect
3. #21454120C2semidirect
4. #21454111C2semidirect
5. #21454101C2semidirect
6. #21451714C2semidirect
7. #21451703C2semidirect
8. #21451671C2semidirect
9. #21451656C2semidirect
10. #21450074C2semidirect
11. #21449939C2semidirect
12. #21449864C2semidirect
13. #21449750C2semidirect
14. #21449711C2semidirect
15. #21449705C2semidirect
16. #21449637C2semidirect
17. #21449563C2semidirect
18. #21449554C2semidirect
19. #21449480C2semidirect
20. #21449355C2semidirect
21. #21449349C2semidirect
22. #21449275C2semidirect
23. #21449193C2semidirect
24. #21449187C2semidirect
25. #21449129C2semidirect
26. #21448517C2semidirect
27. #21448473C2semidirect
28. #21448452C2semidirect
29. C4×#14519746C2semidirect
30. C2×#16839641C2semidirect
31. C22×C4×D4×C61C2semidirect
34. C2×#14519772C22semidirect
35. C2×#14519771C22semidirect
36. C2×#14519765C22semidirect
37. C2×#14519763C22semidirect
38. C2×#14519762C22semidirect
39. C2×#14519760C22semidirect
40. C2×#14519760C22semidirect
41. C2×#14519756C22semidirect
42. C2×#14519754C22semidirect
45. C2×#14519751C22semidirect
46. C2×#14519751C22semidirect
47. C2×#14519750C22semidirect
50. C2×#14519747C22semidirect
54. C2×#14519746C22semidirect
57. C2×C4×C22⋊D61C22semidirect
58. C2×C4×C22⋊D61C22semidirect
59. C2×C4×C22⋊D61C22semidirect
61. C22×#11758198C22semidirect
62. C22×#11758198C22semidirect
63. #16839701C22semidirect
64. #16839700C22semidirect
65. #16839698C22semidirect
66. #16839697C22semidirect
67. #16839695C22semidirect
68. #16839690C22semidirect
69. #16839688C22semidirect
70. #16839688C22semidirect
71. #16839685C22semidirect
72. #16839685C22semidirect
73. #16839685C22semidirect
74. #16839684C22semidirect
75. #16839679C22semidirect
76. #16839678C22semidirect
77. #16839678C22semidirect
78. #16839678C22semidirect
79. #16839677C22semidirect
80. #16839677C22semidirect
81. #16839677C22semidirect
82. #16839676C22semidirect
83. #16839676C22semidirect
84. #16839674C22semidirect
85. #16839674C22semidirect
86. #16839671C22semidirect
87. #16839671C22semidirect
88. #16839671C22semidirect
93. #16839670C22semidirect
94. #16839670C22semidirect
95. #16839668C22semidirect
96. #16839664C22semidirect
97. #16839662C22semidirect
98. #16839662C22semidirect
99. #16839655C22semidirect
100. #16839655C22semidirect
101. #16839653C22semidirect
102. #16839653C22semidirect
103. #16839653C22semidirect
104. #16839653C22semidirect
105. #16839653C22semidirect
106. #16839653C22semidirect
107. #16839653C22semidirect
108. #16839652C22semidirect
109. #16839652C22semidirect
110. #16839650C22semidirect
111. #16839648C22semidirect
112. #16839648C22semidirect
113. #16839646C22semidirect
114. #16839646C22semidirect
115. #16839646C22semidirect
116. #16839643C22semidirect
129. #16839641C22semidirect
130. #16839641C22semidirect
131. #16839641C22semidirect
132. #16839641C22semidirect
133. #16839641C22semidirect
134. #16839641C22semidirect
135. #16839641C22semidirect
136. #16839641C22semidirect
137. #16839641C22semidirect
138. #16839641C22semidirect
139. #16839641C22semidirect
140. #16839641C22semidirect
141. #16839641C22semidirect
142. #16839641C22semidirect
143. #16839639C22semidirect
144. #16839638C22semidirect
145. #16839637C22semidirect
146. #16839637C22semidirect
147. #16839635C22semidirect
148. #16839635C22semidirect
149. #16839635C22semidirect
150. #16839635C22semidirect
151. #16839635C22semidirect
152. #16839635C22semidirect
153. #16839635C22semidirect
154. #16839635C22semidirect
155. #16839634C22semidirect
156. #16839633C22semidirect
157. #16839630C22semidirect
158. #16839628C22semidirect
159. #16839625C22semidirect
160. #16839625C22semidirect
161. #16839622C22semidirect
162. #16839622C22semidirect
163. #16839622C22semidirect
164. #16839620C22semidirect
166. #16839618C22semidirect
167. #16839617C22semidirect
168. C4×C22⋊Dic61C22semidirect
169. C4×C22⋊Dic61C22semidirect
170. C4×C22⋊Dic61C22semidirect
171. C2×#14519684C22semidirect
172. C2×#14519684C22semidirect
175. C24×C4×C61C22semidirect
181. C2×C4×D4×C61C22semidirect
182. C2×C4×D4×C61C22semidirect
183. C2×C4×D4×C61C22semidirect
184. C2×C4×D4×C61C22semidirect
185. C22×C4⋊C4×C61C22semidirect
187. C22×C22⋊C4×C61C22semidirect
188. C22×C42×C61C22semidirect
376. C4×D4×C61D4semidirect
479. C22×C4×C61C2×D4semidirect
567. C4⋊C4×C61C2×D4semidirect
575. C22⋊C4×C61C2×D4semidirect
579. C42×C61C2×D4semidirect
868. C22×C61#538semidirect
922. C22×C4×D4D61semidirect
970. C24×C4C2×D61semidirect
1003. C2×C4×D4C2×D61semidirect
1004. C2×C4×D4C2×D61semidirect
1005. C2×C4×D4C2×D61semidirect
1006. C2×C4×D4C2×D61semidirect
1007. C22×C4⋊C4C2×D61semidirect
1012. C22×C22⋊C4C2×D61semidirect
1013. C22×C42C2×D61semidirect
1124. C61#34990semidirect
1210. C4×D4C22⋊D61semidirect
1489. C22×C4C2×C22⋊D61semidirect
1519. C4⋊C4C2×C22⋊D61semidirect
1575. C22⋊C4C2×C22⋊D61semidirect
1582. C42C2×C22⋊D61semidirect
1825. C22#16840345semidirect

Maximal subgroups

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

subgroupindex
C2×#168403452
#214541342
#214541202
#214541112
#214541012
#214517142
#214517032
#214516712
#214516562
#214500742
#214499392
#214498642
#214497502
#214497112
#214497052
#214496372
#214495632
#214495542
#214494802
#214493552
#214493492
#214492752
#214491932
#214491872
#214491292
#214485172
#214484732
#214484522
C4×#145197462
C2×#168396412
C22×C4×D4×C612
#3499061