Finite Group Databasebeta

← #29887512

Subgroups — #29887512

Order 15616.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840345C211yesmaximal, characteristic, complemented
2#21454162C211yesmaximal, characteristic, complemented
3#21454148C211yesmaximal, characteristic, complemented
4#21452708C211yesmaximal, characteristic, complemented
5#21452609C211yesmaximal, characteristic, complemented
6#21452333C211yesmaximal, characteristic, complemented
7#21452165C211yesmaximal, characteristic, complemented
8#21452156C211yesmaximal, characteristic, complemented
9#21452138C211yesmaximal, characteristic, complemented
10#21452120C211yesmaximal, characteristic, complemented
11#21452109C211yesmaximal, characteristic, complemented
12#21452080C211yesmaximal, characteristic, complemented
13#21452079C211yesmaximal, characteristic, complemented
14#21452070C211yesmaximal, characteristic, complemented
15#21452055C211yesmaximal, characteristic, complemented
16#21452049C211yesmaximal, characteristic, complemented
17#21452032C211yesmaximal, characteristic, complemented
18#21452031C211yesmaximal, characteristic, complemented
19#21452022C211yesmaximal, characteristic, complemented
20#21451948C211yesmaximal, characteristic, complemented
21#21451947C211yesmaximal, characteristic, complemented
22#21451506C211yesmaximal, characteristic, complemented
23#21451440C211yesmaximal, characteristic, complemented
24#21451433C211yesmaximal, characteristic, complemented
25#21451416C211yesmaximal, characteristic, complemented
26#21450758C211yesmaximal, characteristic, complemented
27#21450751C211yesmaximal, characteristic, complemented
28#21449238C211yesmaximal, characteristic, complemented
29#21449205C211yesmaximal, characteristic, complemented
30#21448264C211yesmaximal, characteristic, complemented
31C2×C61×#540C211yesmaximal, characteristic, complemented
32#16840345—28no—
33C2×#14519773C2211yescharacteristic
34C2×#14519772C2211yescharacteristic
35C2×#14519771C2211yescharacteristic
36C2×#14519765C2211yescharacteristic
37C2×#14519763C2211yescharacteristic
38C2×#14519762C2211yescharacteristic
39C2×#14519760C2211yescharacteristic
40C2×#14519758C2211yescharacteristic
41C2×#14519758C2211yescharacteristic
42C2×#14519756C2211yescharacteristic, complemented
43C2×#14519756C2211yescharacteristic, complemented
44C2×#14519754C2211yescharacteristic
45C2×#14519751C2211yescharacteristic
46C2×#14519751C2211yescharacteristic
47C2×#14519751C2211yescharacteristic
48C2×#14519750C2211yescharacteristic
49C2×#14519749C2211yescharacteristic
50C2×#14519749C2211yescharacteristic
51C2×#14519749C2211yescharacteristic
52C2×#14519749C2211yescharacteristic
53C2×#14519749C2211yescharacteristic, complemented
54C2×#14519749C2211yescharacteristic, complemented
55C2×#14519748C2211yescharacteristic, complemented
56C2×#14519747C2211yescharacteristic
57C2×#14519745C2211yescharacteristic
58C2×#14519745C2211yescharacteristic
59C2×#14519745C2211yescharacteristic
60C2×#14519745C2211yescharacteristic
61C2×C4×C22⋊D61C2211yescharacteristic
62C2×#14519736C2211yescharacteristic
63C22×#11758198C2211yescharacteristic
64C22×C4×Dic61C2211yescharacteristic, complemented
65#16839697C2211yescharacteristic
66#16839697C2211yescharacteristic
67#16839697C2211yescharacteristic
68#16839697C2211yescharacteristic, complemented
69#16839695C2211yescharacteristic, complemented
70#16839693C2211yescharacteristic, complemented
71#16839693C2211yescharacteristic, complemented
72#16839692C2211yescharacteristic, complemented
73#16839690C2211yescharacteristic
74#16839688C2211yescharacteristic
75#16839688C2211yescharacteristic
76#16839687C2211yescharacteristic, complemented
77#16839685C2211yescharacteristic, complemented
78#16839684C2211yescharacteristic
79#16839684C2211yescharacteristic
80#16839684C2211yescharacteristic
81#16839682C2211yescharacteristic, complemented
82#16839679C2211yescharacteristic
83#16839679C2211yescharacteristic
84#16839678C2211yescharacteristic
85#16839678C2211yescharacteristic
86#16839678C2211yescharacteristic
87#16839677C2211yescharacteristic
88#16839677C2211yescharacteristic
89#16839677C2211yescharacteristic, complemented
90#16839676C2211yescharacteristic
91#16839676C2211yescharacteristic
92#16839676C2211yescharacteristic
93#16839676C2211yescharacteristic, complemented
94#16839676C2211yescharacteristic, complemented
95#16839676C2211yescharacteristic, complemented
96#16839676C2211yescharacteristic, complemented
97#16839674C2211yescharacteristic, complemented
98#16839671C2211yescharacteristic
99#16839671C2211yescharacteristic
100#16839670C2211yescharacteristic
101#16839670C2211yescharacteristic
102#16839670C2211yescharacteristic
103#16839670C2211yescharacteristic
104#16839670C2211yescharacteristic
105#16839670C2211yescharacteristic
106#16839670C2211yescharacteristic
107#16839670C2211yescharacteristic
108#16839670C2211yescharacteristic
109#16839670C2211yescharacteristic
110#16839670C2211yescharacteristic
111#16839670C2211yescharacteristic, complemented
112#16839670C2211yescharacteristic, complemented
113#16839665C2211yescharacteristic, complemented
114#16839665C2211yescharacteristic, complemented
115#16839663C2211yescharacteristic
116#16839662C2211yescharacteristic
117#16839662C2211yescharacteristic
118#16839662C2211yescharacteristic
119#16839662C2211yescharacteristic
120#16839662C2211yescharacteristic
121#16839662C2211yescharacteristic
122#16839662C2211yescharacteristic
123#16839662C2211yescharacteristic, complemented
124#16839662C2211yescharacteristic, complemented
125#16839662C2211yescharacteristic, complemented
126#16839658C2211yescharacteristic, complemented
127#16839657C2211yescharacteristic, complemented
128#16839657C2211yescharacteristic, complemented
129#16839656C2211yescharacteristic, complemented
130#16839656C2211yescharacteristic, complemented
131#16839656C2211yescharacteristic, complemented
132#16839656C2211yescharacteristic, complemented
133#16839655C2211yescharacteristic
134#16839655C2211yescharacteristic
135#16839653C2211yescharacteristic
136#16839653C2211yescharacteristic
137#16839653C2211yescharacteristic, complemented
138#16839652C2211yescharacteristic
139#16839652C2211yescharacteristic
140#16839652C2211yescharacteristic
141#16839652C2211yescharacteristic, complemented
142#16839650C2211yescharacteristic, complemented
143#16839648C2211yescharacteristic, complemented
144#16839648C2211yescharacteristic, complemented
145#16839646C2211yescharacteristic, complemented
146#16839643C2211yescharacteristic, complemented
147#16839642C2211yescharacteristic
148#16839642C2211yescharacteristic
149#16839642C2211yescharacteristic
150#16839642C2211yescharacteristic, complemented
151#16839641C2211yescharacteristic
152#16839641C2211yescharacteristic
153#16839641C2211yescharacteristic
154#16839641C2211yescharacteristic
155#16839641C2211yescharacteristic, complemented
156#16839639C2211yescharacteristic
157#16839638C2211yescharacteristic, complemented
158#16839637C2211yescharacteristic, complemented
159#16839637C2211yescharacteristic, complemented
160#16839635C2211yescharacteristic, complemented
161#16839635C2211yescharacteristic, complemented
162#16839635C2211yescharacteristic, complemented
163#16839634C2211yescharacteristic
164#16839633C2211yescharacteristic, complemented
165#16839631C2211yescharacteristic, complemented
166#16839620C2211yescharacteristic, complemented
167#16839619C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic
169C4×C4⋊Dic61C2211yescharacteristic, complemented
170C4×C22⋊Dic61C2211yescharacteristic
171C4×C22⋊Dic61C2211yescharacteristic, complemented
172#16839608C2211yescharacteristic, complemented
173C61×#540—28no—
174C2×#127×C61C2211yescharacteristic
175C2×#125×C61C2211yescharacteristic, complemented
176C2×#123×C61C2211yescharacteristic
177C2×#123×C61C2211yescharacteristic
178C2×#123×C61C2211yescharacteristic, complemented
179C2×#123×C61C2211yescharacteristic, complemented
180C2×#121×C61C2211yescharacteristic
181C2×#121×C61C2211yescharacteristic
182C2×#121×C61C2211yescharacteristic
183C2×#121×C61C2211yescharacteristic, complemented
184C2×#121×C61C2211yescharacteristic, complemented
185C2×#121×C61C2211yescharacteristic, complemented
186C2×C4×D4×C61C2211yescharacteristic
187C2×C4×D4×C61C2211yescharacteristic, complemented
188C2×#117×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
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
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210#14519773—42no—
211#14519772—24no—
212#14519771—24no—
213#14519765—24no—
214#14519763—24no—
215#14519762—24no—
216#14519760—24no—
217#14519758—42no—
218#14519758—42no—
219#14519756—42no—
220#14519756—42no—
221#14519754—24no—
222#14519751—24no—
223#14519751—42no—
224#14519751—42no—
225#14519750—24no—
226#14519749—24no—
227#14519749—42no—
228#14519749—42no—
229#14519749—42no—
230#14519749—42no—
231#14519749—42no—
232#14519748—42no—
233#14519747—24no—
234#14519745—24no—
235#14519745—42no—
236#14519745—42no—
237#14519745—42no—
238C4×C22⋊D61—24no—
239#14519736—42no—
240C2×C4⋊Dic61C2311yescharacteristic
241C2×C4⋊Dic61C2311yescharacteristic
242C2×C4⋊Dic61C2311yescharacteristic
243C2×C4⋊Dic61C2311yescharacteristic
244C2×C4⋊Dic61C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×#11758198—24no—
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×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×C4×Dic61—42no—
310C2×C4×Dic61C2311yescharacteristic
311C2×C4×Dic61C2311yescharacteristic
312C2×C4×Dic61C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
314C2×C4×Dic61C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
316C2×C4×Dic61C2311yescharacteristic
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
341C22×D4×C61C2311yescharacteristic
342C22×D4×C61C2311yescharacteristic
343C22×D4×C61C2311yescharacteristic
344C22×D4×C61C2311yescharacteristic
345C22×D4×C61C2311yescharacteristic
346C22×D4×C61C2311yescharacteristic
347C22×D4×C61C2311yescharacteristic
348C22×D4×C61C2311yescharacteristic
349C22×D4×C61C2311yescharacteristic
350C22×D4×C61C2311yescharacteristic
351C23×C4×C61C2311yescharacteristic
352C23×C4×C61C2311yescharacteristic
353C23×C4×C61C2311yescharacteristic
354C23×C4×C61C2311yescharacteristic
355C23×C4×C61C2311yescharacteristic
356#127×C61—24no—
357#125×C61—24no—
358#123×C61—24no—
359#123×C61—24no—
360#123×C61—24no—
361#123×C61—24no—
362#121×C61—24no—
363#121×C61—24no—
364#121×C61—24no—
365#121×C61—24no—
366#121×C61—24no—
367#121×C61—24no—
368C4×D4×C61—24no—
369C4×D4×C61D418yescomplemented
370#117×C61—24no—
371C2×C4⋊C4×C61C2311yescharacteristic
372C2×C4⋊C4×C61C2311yescharacteristic
373C2×C4⋊C4×C61C2311yescharacteristic
374C2×C4⋊C4×C61C2311yescharacteristic
375C2×C4⋊C4×C61C2311yescharacteristic
376C2×C4⋊C4×C61C2311yescharacteristic
377C2×C4⋊C4×C61C2311yescharacteristic
378C2×C4⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389C2×C42×C61C2311yescharacteristic
390C2×C42×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C24×C61C2411yescharacteristic
396C23×D61—22no—
397C23×D61—41no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61—41no—
402C23×D61—41no—
403C23×D61C2411yescharacteristic
404C23×D61C2411yescharacteristic
405C23×D61C2411yescharacteristic
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—22no—
411C2×D4×C61—22no—
412C2×D4×C61—22no—
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—41no—
416C2×D4×C61—41no—
417C2×D4×C61—41no—
418C2×D4×C61—41no—
419C2×D4×C61—41no—
420C2×D4×C61—41no—
421C2×D4×C61—41no—
422C2×D4×C61—41no—
423C2×D4×C61—41no—
424C2×D4×C61—41no—
425C2×D4×C61—41no—
426C2×D4×C61—41no—
427C2×D4×C61—41no—
428C2×D4×C61—41no—
429C2×D4×C61—41no—
430C2×D4×C61—41no—
431C2×D4×C61—41no—
432C2×D4×C61—41no—
433C2×D4×C61—41no—
434C2×D4×C61—41no—
435C2×D4×C61C2×D414yes—
436C22×C4×C61—22no—
437C22×C4×C61—22no—
438C22×C4×C61—22no—
439C22×C4×C61—41no—
440C22×C4×C61—41no—
441C22×C4×C61—41no—
442C22×C4×C61—41no—
443C22×C4×C61—41no—
444C22×C4×C61—41no—
445C22×C4×C61—41no—
446C22×C4×C61—41no—
447C22×C4×C61—41no—
448C22×C4×C61—41no—
449C22×C4×C61C2×D414yes—
450C22×C4×C61C2×D414yes—
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2411yescharacteristic
456C22×C4×C61C2411yescharacteristic
457C22×C4×C61C2411yescharacteristic
458C22×C4×C61C2411yescharacteristic
459C22×C4×C61C2411yescharacteristic
460C22×C4×C61C2411yescharacteristic
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—22no—
465C2×C22⋊D61—22no—
466C2×C22⋊D61—22no—
467C2×C22⋊D61—22no—
468C2×C22⋊D61—22no—
469C2×C22⋊D61—22no—
470C2×C22⋊D61—41no—
471C2×C22⋊D61—41no—
472C2×C22⋊D61—41no—
473C2×C22⋊D61—41no—
474C2×C22⋊D61—41no—
475C2×C22⋊D61—41no—
476C2×C22⋊D61—41no—
477C2×C22⋊D61—41no—
478C2×C22⋊D61—41no—
479C2×C22⋊D61—41no—
480C2×C22⋊D61—41no—
481C2×C22⋊D61—41no—
482C2×C22⋊D61—41no—
483C2×C22⋊D61—41no—
484C2×C22⋊D61—41no—
485C2×C22⋊D61—41no—
486C2×C22⋊D61—41no—
487C2×C22⋊D61—41no—
488C2×C22⋊D61—41no—
489C2×C22⋊D61—41no—
490C2×C22⋊D61—41no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61—41no—
494C2×C22⋊D61—41no—
495C2×C22⋊D61—41no—
496C2×C22⋊D61—41no—
497C2×C22⋊D61—41no—
498C2×C22⋊D61—41no—
499C2×C22⋊D61—41no—
500C22×Dic61—22no—
501C22×Dic61—22no—
502C22×Dic61—22no—
503C22×Dic61—22no—
504C22×Dic61—41no—
505C22×Dic61—41no—
506C22×Dic61—41no—
507C22×Dic61—41no—
508C22×Dic61—41no—
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C22×Dic61C2411yescharacteristic
516C22×Dic61C2411yescharacteristic
517C22×Dic61C2411yescharacteristic
518C22×Dic61C2411yescharacteristic
519C22×Dic61C2411yescharacteristic
520C22×Dic61C2411yescharacteristic
521C22×Dic61C2411yescharacteristic
522C2×D244—22no—
523C2×D244—22no—
524C2×D244—41no—
525C2×D244—41no—
526C2×D244—41no—
527C2×D244—41no—
528C2×C4×D61—22no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×Dic122—22no—
532C2×Dic122—41no—
533C2×Dic122—41no—
534C4⋊C4×C61—22no—
535C4⋊C4×C61—22no—
536C4⋊C4×C61—22no—
537C4⋊C4×C61—22no—
538C4⋊C4×C61—22no—
539C4⋊C4×C61—22no—
540C4⋊C4×C61—22no—
541C4⋊C4×C61C2×D414yes—
542C22⋊C4×C61—22no—
543C22⋊C4×C61—22no—
544C22⋊C4×C61—22no—
545C22⋊C4×C61—22no—
546C22⋊C4×C61—22no—
547C22⋊C4×C61—22no—
548C22⋊C4×C61—22no—
549C22⋊C4×C61—22no—
550C22⋊C4×C61C2×D414yes—
551C22⋊C4×C61C2×D414yes—
552C42×C61—22no—
553C42×C61C2×D414yes—
554C22⋊Dic61—22no—
555C22⋊Dic61—22no—
556C22⋊Dic61—22no—
557C22⋊Dic61—22no—
558C22⋊Dic61—22no—
559C22⋊Dic61—22no—
560C22⋊Dic61—22no—
561C22⋊Dic61—22no—
562C22⋊Dic61—22no—
563C22⋊Dic61—41no—
564C22⋊Dic61—41no—
565C22⋊Dic61—41no—
566C22⋊Dic61—41no—
567C22⋊Dic61—41no—
568C22⋊Dic61—41no—
569C22⋊Dic61—41no—
570C22⋊Dic61—41no—
571C22⋊Dic61—41no—
572C22⋊Dic61—41no—
573C22⋊Dic61—41no—
574C22⋊Dic61—41no—
575C22⋊Dic61—41no—
576C22⋊Dic61—41no—
577#11758198—22no—
578#11758198—22no—
579#11758198—22no—
580#11758198—22no—
581#11758198—22no—
582#11758198—22no—
583#11758198—22no—
584#11758198—22no—
585#11758198—22no—
586#11758198—22no—
587#11758198—22no—
588#11758198—22no—
589#11758198—22no—
590#11758198—22no—
591#11758198—41no—
592#11758198—41no—
593#11758198—41no—
594#11758198—41no—
595#11758198—41no—
596#11758198—41no—
597#11758198—41no—
598#11758198—41no—
599#11758198—41no—
600#11758198—41no—
601#11758198—41no—
602C4⋊Dic61—22no—
603C4⋊Dic61—22no—
604C4⋊Dic61—22no—
605C4⋊Dic61—22no—
606C4⋊Dic61—41no—
607#11758196—22no—
608#11758196—22no—
609#11758196—22no—
610#11758196—22no—
611#11758196—22no—
612#11758196—22no—
613#11758196—22no—
614#11758196—41no—
615#11758196—41no—
616#11758196—41no—
617#11758196—41no—
618#11758196—41no—
619#11758196—41no—
620#11758196—41no—
621#11758196—41no—
622C4×Dic61—22no—
623C4×Dic61—22no—
624C4×Dic61—22no—
625C4×Dic61—41no—
626C4×Dic61—41no—
627C4×Dic61—41no—
628C4×Dic61—41no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
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—21no—
656C23×C61—21no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61C22×D412yes—
663C23×C61C22×D412yes—
664C23×C61C2511yescharacteristic
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—21no—
671C22×D61—21no—
672C22×D61—21no—
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—44no—
687C22×D61—82no—
688C22×D61—82no—
689C22×D61—82no—
690C22×D61—82no—
691C22×D61—82no—
692C22×D61—82no—
693D4×C61—44no—
694D4×C61—44no—
695D4×C61—82no—
696D4×C61—82no—
697D4×C61—82no—
698D4×C61—82no—
699D4×C61—82no—
700D4×C61—82no—
701D4×C61—82no—
702D4×C61—82no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—44no—
729C2×C4×C61—44no—
730C2×C4×C61—44no—
731C2×C4×C61—82no—
732C2×C4×C61—82no—
733C2×C4×C61C22×D412yes—
734C2×C4×C61C22×D412yes—
735C2×C4×C61C22×D412yes—
736C2×C4×C61C22×D412yes—
737C2×C4×C61C22×D412yes—
738C22⋊D61—44no—
739C22⋊D61—82no—
740C22⋊D61—82no—
741C22⋊D61—82no—
742C22⋊D61—82no—
743C22⋊D61—82no—
744C22⋊D61—82no—
745C22⋊D61—82no—
746C22⋊D61—82no—
747C22⋊D61—82no—
748C22⋊D61—82no—
749C22⋊D61—82no—
750C22⋊D61—82no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—21no—
787C2×Dic61—44no—
788C2×Dic61—44no—
789C2×Dic61—82no—
790C2×Dic61H(5,𝔽2)12yes—
791C2×Dic61H(5,𝔽2)12yes—
792C2×Dic61H(5,𝔽2)12yes—
793D244—82no—
794D244—82no—
795C4×D61—82no—
796Dic122—82no—
797#36744—611nomaximal, Sylow
798C22×C61—22no—
799C22×C61—22no—
800C22×C61—22no—
801C22×C61—22no—
802C22×C61—22no—
803C22×C61—22no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61C23×D411yescharacteristic
834C22×C61C2×H(5,𝔽2)11yescharacteristic
835C22×C61C2×H(5,𝔽2)11yescharacteristic
836C22×C61C2×H(5,𝔽2)11yescharacteristic
837C22×C61#58511yescharacteristic
838C22×C61#58511yescharacteristic
839C22×C61#58511yescharacteristic
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—88no—
862C4×C61—22no—
863C4×C61—22no—
864C4×C61—22no—
865C4×C61—22no—
866C4×C61—22no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61—41no—
870C4×C61—41no—
871C4×C61—41no—
872Dic61—22no—
873Dic61—22no—
874Dic61—22no—
875Dic61—41no—
876Dic61—41no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882Dic61—41no—
883Dic61—41no—
884Dic61—41no—
885C2×#540D6111yescharacteristic, complemented
886C2×#538—611no—
887#2856—611no—
888#2854—611no—
889#2721—611no—
890#2714—611no—
891#2694—611no—
892#2681—611no—
893#2680—611no—
894#2678—611no—
895#2676—611no—
896#2675—611no—
897#2673—611no—
898#2673—611no—
899#2672—611no—
900#2671—611no—
901#2671—611no—
902#2669—611no—
903#2669—611no—
904#2668—611no—
905#2661—611no—
906#2661—611no—
907#2610—611no—
908#2603—611no—
909#2602—611no—
910#2601—611no—
911#2540—611no—
912#2539—611no—
913#2414—611no—
914#2411—611no—
915#2290—611no—
916C2×C61—42no—
917C2×C61—42no—
918C2×C61—81no—
919C2×C61—81no—
920C2×C61—81no—
921C2×C61#344911yescharacteristic
922C2×C61#349611yescharacteristic
923C2×C61#349811yescharacteristic
924C2×C61#353411yescharacteristic
925C2×C61#354211yescharacteristic
926C2×C61#355111yescharacteristic
927C2×C61#356211yescharacteristic
928D61—81no—
929D61—81no—
930D61—81no—
931#540—28no—
932#538—1228no—
933C2×#127—611no—
934C2×#127C2×D6111yescharacteristic
935C2×#126—611no—
936C2×#126—611no—
937C2×#125C2×D6111yescharacteristic, complemented
938C2×#124—611no—
939C2×#124—611no—
940C2×#123—611no—
941C2×#123—611no—
942C2×#123—611no—
943C2×#123—611no—
944C2×#123C2×D6111yescharacteristic
945C2×#123C2×D6111yescharacteristic
946C2×#123C2×D6111yescharacteristic, complemented
947C2×#123C2×D6111yescharacteristic, complemented
948C2×C22⋊Q8—611no—
949C2×C22⋊Q8—611no—
950C2×C22⋊Q8—611no—
951C2×#121—611no—
952C2×#121—611no—
953C2×#121—611no—
954C2×#121—611no—
955C2×#121—611no—
956C2×#121—611no—
957C2×#121—611no—
958C2×#121—611no—
959C2×#121—611no—
960C2×#121—611no—
961C2×#121—611no—
962C2×#121C2×D6111yescharacteristic
963C2×#121C2×D6111yescharacteristic
964C2×#121C2×D6111yescharacteristic
965C2×#121C2×D6111yescharacteristic, complemented
966C2×#121C2×D6111yescharacteristic, complemented
967C2×#121C2×D6111yescharacteristic, complemented
968C2×#120—611no—
969C2×#120—611no—
970C2×#120—611no—
971C2×#120—611no—
972C2×#120—611no—
973C2×C4×D4—611no—
974C2×C4×D4C2×D6111yescharacteristic
975C2×C4×D4C2×D6111yescharacteristic, complemented
976C2×#117—611no—
977C2×#117C2×D6111yescharacteristic, complemented
978C22×C22⋊C4—611no—
979C22×C42—611no—
980#399—611no—
981#399—611no—
982#399—611no—
983#399—611no—
984#398—611no—
985#398—611no—
986#398—611no—
987#398—611no—
988#397—611no—
989#397—611no—
990#397—611no—
991#397—611no—
992#396—611no—
993#396—611no—
994#396—611no—
995#396—611no—
996#395—611no—
997#394—611no—
998#394—611no—
999#394—611no—
1000#394—611no—
1001#394—611no—
1002#394—611no—
1003#394—611no—
1004#394—611no—
1005#394—611no—
1006#394—611no—
1007#394—611no—
1008#394—611no—
1009#394—611no—
1010#394—611no—
1011#394—611no—
1012#393—611no—
1013#392—611no—
1014#392—611no—
1015#392—611no—
1016#392—611no—
1017#392—611no—
1018#392—611no—
1019#392—611no—
1020#392—611no—
1021#392—611no—
1022#392—611no—
1023#392—611no—
1024#392—611no—
1025#392—611no—
1026#392—611no—
1027#392—611no—
1028#390—611no—
1029#390—611no—
1030#390—611no—
1031#390—611no—
1032#390—611no—
1033#390—611no—
1034#390—611no—
1035#390—611no—
1036#390—611no—
1037#390—611no—
1038#390—611no—
1039#390—611no—
1040#390—611no—
1041#389—611no—
1042#389—611no—
1043#389—611no—
1044#388—611no—
1045#388—611no—
1046#388—611no—
1047#388—611no—
1048#388—611no—
1049#388—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#387—611no—
1059#387—611no—
1060#387—611no—
1061#387—611no—
1062#386—611no—
1063#386—611no—
1064#386—611no—
1065#386—611no—
1066#386—611no—
1067#386—611no—
1068#386—611no—
1069#386—611no—
1070#386—611no—
1071#386—611no—
1072#386—611no—
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385—611no—
1080#384—611no—
1081#380—611no—
1082#380—611no—
1083#379—611no—
1084C4×C4⋊C4—611no—
1085C4×C22⋊C4—611no—
1086C4×C22⋊C4—611no—
1087#376—611no—
1088C61#3674411yescharacteristic, complemented, Sylow
1089C25—611no—
1090C22×Q8—611no—
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—611no—
1095C22×D4—611no—
1096C22×D4—611no—
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—611no—
1100C22×D4—611no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—611no—
1104C22×D4—611no—
1105C22×D4—611no—
1106C22×D4C22×D6111yescharacteristic
1107C22×D4C22×D6111yescharacteristic
1108C22×D4C22×D6111yescharacteristic
1109C22×D4C22×D6111yescharacteristic
1110C22×D4C22×D6111yescharacteristic
1111C22×D4C22×D6111yescharacteristic
1112C22×D4C22×D6111yescharacteristic
1113C22×D4C22×D6111yescharacteristic
1114C22×D4C22×D6111yescharacteristic
1115C22×D4C22×D6111yescharacteristic
1116C23×C4—611no—
1117C23×C4—611no—
1118C23×C4—611no—
1119C23×C4—611no—
1120C23×C4C22×D6111yescharacteristic
1121C23×C4C22×D6111yescharacteristic
1122C23×C4C22×D6111yescharacteristic
1123C23×C4C22×D6111yescharacteristic
1124C23×C4C22×D6111yescharacteristic
1125#127—24no—
1126#127—2442no—
1127#126—1224no—
1128#126—1224no—
1129#125—24no—
1130#124—1224no—
1131#124—1224no—
1132#123—24no—
1133#123—24no—
1134#123—24no—
1135#123—24no—
1136#123—1224no—
1137#123—1224no—
1138#123—2442no—
1139#123—2442no—
1140C22⋊Q8—1224no—
1141C22⋊Q8—2442no—
1142C22⋊Q8—2442no—
1143#121—24no—
1144#121—24no—
1145#121—24no—
1146#121—24no—
1147#121—24no—
1148#121—24no—
1149#121—1224no—
1150#121—1224no—
1151#121—1224no—
1152#121—2442no—
1153#121—2442no—
1154#121—2442no—
1155#121—2442no—
1156#121—2442no—
1157#121—2442no—
1158#121—2442no—
1159#121—2442no—
1160#120—1224no—
1161#120—1224no—
1162#120—2442no—
1163#120—2442no—
1164#120—2442no—
1165C4×D4—24no—
1166C4×D4—1224no—
1167C4×D4C22⋊D6118yescomplemented
1168#117—24no—
1169#117—2442no—
1170C2×C4⋊C4—611no—
1171C2×C4⋊C4—611no—
1172C2×C4⋊C4—611no—
1173C2×C4⋊C4—611no—
1174C2×C4⋊C4—611no—
1175C2×C4⋊C4—611no—
1176C2×C4⋊C4—611no—
1177C2×C4⋊C4—611no—
1178C2×C4⋊C4—611no—
1179C2×C4⋊C4—611no—
1180C2×C4⋊C4—611no—
1181C2×C4⋊C4—611no—
1182C2×C4⋊C4—611no—
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—611no—
1187C2×C4⋊C4—611no—
1188C2×C4⋊C4—611no—
1189C2×C4⋊C4—611no—
1190C2×C4⋊C4C22×D6111yescharacteristic
1191C2×C4⋊C4C22×D6111yescharacteristic
1192C2×C4⋊C4C22×D6111yescharacteristic
1193C2×C4⋊C4C22×D6111yescharacteristic
1194C2×C4⋊C4C22×D6111yescharacteristic
1195C2×C4⋊C4C22×D6111yescharacteristic
1196C2×C4⋊C4C22×D6111yescharacteristic
1197C2×C4⋊C4C22×D6111yescharacteristic
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
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—1224no—
1247C2×C22⋊C4C22×D6111yescharacteristic
1248C2×C22⋊C4C22×D6111yescharacteristic
1249C2×C22⋊C4C22×D6111yescharacteristic
1250C2×C22⋊C4C22×D6111yescharacteristic
1251C2×C22⋊C4C22×D6111yescharacteristic
1252C2×C22⋊C4C22×D6111yescharacteristic
1253C2×C22⋊C4C22×D6111yescharacteristic
1254C2×C22⋊C4C22×D6111yescharacteristic
1255C2×C22⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4C22×D6111yescharacteristic
1257C2×C42—611no—
1258C2×C42—611no—
1259C2×C42—611no—
1260C2×C42—611no—
1261C2×C42—611no—
1262C2×C42—611no—
1263C2×C42—611no—
1264C2×C42—2442no—
1265C2×C42C22×D6111yescharacteristic
1266C2×C42C22×D6111yescharacteristic
1267#95—611no—
1268#95—611no—
1269#95—611no—
1270#95—611no—
1271#95—611no—
1272#95—611no—
1273#95—611no—
1274#95—611no—
1275#95—611no—
1276#95—611no—
1277#95—611no—
1278#95—611no—
1279#95—611no—
1280#95—611no—
1281#95—611no—
1282#95—611no—
1283#95—611no—
1284#95—611no—
1285#95—611no—
1286#95—611no—
1287#95—611no—
1288#95—611no—
1289#95—611no—
1290#95—611no—
1291C24—611no—
1292C24—611no—
1293C24—611no—
1294C24—1222no—
1295C24—2441no—
1296C24—2441no—
1297C24—2441no—
1298C24—2441no—
1299C24—2441no—
1300C24—2441no—
1301C24C23×D6111yescharacteristic
1302C24C23×D6111yescharacteristic
1303C24C23×D6111yescharacteristic
1304C24C23×D6111yescharacteristic
1305C24C23×D6111yescharacteristic
1306C2×Q8—1222no—
1307C2×Q8—2441no—
1308C2×Q8—2441no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—1222no—
1339C2×D4—1222no—
1340C2×D4—1222no—
1341C2×D4—1222no—
1342C2×D4—1222no—
1343C2×D4—1222no—
1344C2×D4—1222no—
1345C2×D4—1222no—
1346C2×D4—1222no—
1347C2×D4—1222no—
1348C2×D4—1222no—
1349C2×D4—2441no—
1350C2×D4—2441no—
1351C2×D4—2441no—
1352C2×D4—2441no—
1353C2×D4—2441no—
1354C2×D4—2441no—
1355C2×D4—2441no—
1356C2×D4—2441no—
1357C2×D4—2441no—
1358C2×D4—2441no—
1359C2×D4—2441no—
1360C2×D4—2441no—
1361C2×D4—2441no—
1362C2×D4—2441no—
1363C2×D4—2441no—
1364C2×D4—2441no—
1365C2×D4—2441no—
1366C2×D4—2441no—
1367C2×D4—2441no—
1368C2×D4—2441no—
1369C2×D4—2441no—
1370C2×D4—2441no—
1371C2×D4—2441no—
1372C2×D4—2441no—
1373C2×D4—2441no—
1374C2×D4—2441no—
1375C2×D4—2441no—
1376C2×D4—2441no—
1377C2×D4—2441no—
1378C2×D4—2441no—
1379C2×D4—2441no—
1380C2×D4—2441no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4C2×C22⋊D6114yes—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—611no—
1404C22×C4—611no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—611no—
1408C22×C4—611no—
1409C22×C4—611no—
1410C22×C4—1222no—
1411C22×C4—1222no—
1412C22×C4—1222no—
1413C22×C4—1222no—
1414C22×C4—1222no—
1415C22×C4—2441no—
1416C22×C4—2441no—
1417C22×C4—2441no—
1418C22×C4—2441no—
1419C22×C4—2441no—
1420C22×C4—2441no—
1421C22×C4—2441no—
1422C22×C4C2×C22⋊D6114yes—
1423C22×C4C2×C22⋊D6114yes—
1424C22×C4C23×D6111yescharacteristic
1425C22×C4C23×D6111yescharacteristic
1426C22×C4C23×D6111yescharacteristic
1427C22×C4C23×D6111yescharacteristic
1428C22×C4C23×D6111yescharacteristic
1429C22×C4C23×D6111yescharacteristic
1430C22×C4C23×D6111yescharacteristic
1431C22×C4C23×D6111yescharacteristic
1432C22×C4C23×D6111yescharacteristic
1433C22×C4C23×D6111yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—1222no—
1442C4⋊C4—1222no—
1443C4⋊C4—1222no—
1444C4⋊C4—1222no—
1445C4⋊C4—1222no—
1446C4⋊C4—1222no—
1447C4⋊C4—1222no—
1448C4⋊C4—1222no—
1449C4⋊C4—1222no—
1450C4⋊C4—1222no—
1451C4⋊C4—1222no—
1452C4⋊C4—2441no—
1453C4⋊C4—2441no—
1454C4⋊C4—2441no—
1455C4⋊C4—2441no—
1456C4⋊C4—2441no—
1457C4⋊C4—2441no—
1458C4⋊C4—2441no—
1459C4⋊C4—2441no—
1460C4⋊C4—2441no—
1461C4⋊C4C2×C22⋊D6114yes—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—1222no—
1471C22⋊C4—1222no—
1472C22⋊C4—1222no—
1473C22⋊C4—1222no—
1474C22⋊C4—1222no—
1475C22⋊C4—1222no—
1476C22⋊C4—1222no—
1477C22⋊C4—1222no—
1478C22⋊C4—1222no—
1479C22⋊C4—1222no—
1480C22⋊C4—1222no—
1481C22⋊C4—1222no—
1482C22⋊C4—1222no—
1483C22⋊C4—1222no—
1484C22⋊C4—1222no—
1485C22⋊C4—1222no—
1486C22⋊C4—1222no—
1487C22⋊C4—1222no—
1488C22⋊C4—1222no—
1489C22⋊C4—1222no—
1490C22⋊C4—1222no—
1491C22⋊C4—1222no—
1492C22⋊C4—1222no—
1493C22⋊C4—2441no—
1494C22⋊C4—2441no—
1495C22⋊C4—2441no—
1496C22⋊C4—2441no—
1497C22⋊C4—2441no—
1498C22⋊C4—2441no—
1499C22⋊C4—2441no—
1500C22⋊C4—2441no—
1501C22⋊C4—2441no—
1502C22⋊C4—2441no—
1503C22⋊C4—2441no—
1504C22⋊C4—2441no—
1505C22⋊C4—2441no—
1506C22⋊C4—2441no—
1507C22⋊C4—2441no—
1508C22⋊C4—2441no—
1509C22⋊C4—2441no—
1510C22⋊C4—2441no—
1511C22⋊C4—2441no—
1512C22⋊C4—2441no—
1513C22⋊C4—2441no—
1514C22⋊C4—2441no—
1515C22⋊C4—2441no—
1516C22⋊C4—2441no—
1517C22⋊C4—2441no—
1518C22⋊C4C2×C22⋊D6114yes—
1519C22⋊C4C2×C22⋊D6114yes—
1520C42—22no—
1521C42—1222no—
1522C42—1222no—
1523C42—1222no—
1524C42—2441no—
1525C42—2441no—
1526C42—2441no—
1527C42—2441no—
1528C42C2×C22⋊D6114yes—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—1221no—
1563C23—1221no—
1564C23—1221no—
1565C23—1221no—
1566C23—1221no—
1567C23—1221no—
1568C23—1221no—
1569C23—1221no—
1570C23—1221no—
1571C23—1221no—
1572C23—1221no—
1573C23—1221no—
1574C23—1221no—
1575C23—1221no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—1221no—
1580C23—1221no—
1581C23—1221no—
1582C23—1221no—
1583C23—4882no—
1584C23—4882no—
1585C23—4882no—
1586C23—4882no—
1587C23—4882no—
1588C23—4882no—
1589C23—2444no—
1590C23C22×C22⋊D6112yes—
1591C23C22×C22⋊D6112yes—
1592C23C24×D6111yescharacteristic
1593Q8—4882no—
1594D4—44no—
1595D4—44no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—82no—
1602D4—82no—
1603D4—82no—
1604D4—4882no—
1605D4—4882no—
1606D4—4882no—
1607D4—4882no—
1608D4—4882no—
1609D4—4882no—
1610D4—4882no—
1611D4—4882no—
1612D4—4882no—
1613D4—4882no—
1614D4—4882no—
1615D4—4882no—
1616D4—4882no—
1617D4—4882no—
1618D4—2444no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—82no—
1648C2×C4—82no—
1649C2×C4—612no—
1650C2×C4—612no—
1651C2×C4—612no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—1221no—
1671C2×C4—1221no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—4882no—
1689C2×C4—4882no—
1690C2×C4—2444no—
1691C2×C4—2444no—
1692C2×C4C22×C22⋊D6112yes—
1693C2×C4C22×C22⋊D6112yes—
1694C2×C4C22×C22⋊D6112yes—
1695C2×C4C22×C22⋊D6112yes—
1696C2×C4C22×C22⋊D6112yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—4888no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22—2441no—
1738C22—2441no—
1739C22—2441no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22—2441no—
1752C22—2441no—
1753C22—2441no—
1754C22C23×C22⋊D6111yescharacteristic
1755C22H(5,𝔽2)×D6111yescharacteristic
1756C22H(5,𝔽2)×D6111yescharacteristic
1757C22H(5,𝔽2)×D6111yescharacteristic
1758C22#1684059711yescharacteristic
1759C22#1684059811yescharacteristic
1760C22#1684059811yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—1222no—
1772C4—1222no—
1773C4—1222no—
1774C4—2441no—
1775C4—2441no—
1776C4—2441no—
1777C4—2441no—
1778C4—2441no—
1779C4—2441no—
1780C4—2441no—
1781C4—2441no—
1782C4—2441no—
1783C4—2441no—
1784C2—42no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—4881no—
1790C2—4881no—
1791C2—4881no—
1792C2#2145914811yescharacteristic
1793C2#2145957811yescharacteristic
1794C2#2145959311yescharacteristic
1795C2#2146000211yescharacteristic
1796C2#2146012611yescharacteristic
1797C2#2146024011yescharacteristic
1798C2#2146039811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC2×C61×#540C2
hypercenterC2×#540D61
hypocenterC61#36744
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. C2×#16840345C2semidirect
2. #21454162C2semidirect
3. #21454148C2semidirect
4. #21452708C2semidirect
5. #21452609C2semidirect
6. #21452333C2semidirect
7. #21452165C2semidirect
8. #21452156C2semidirect
9. #21452138C2semidirect
10. #21452120C2semidirect
11. #21452109C2semidirect
12. #21452080C2semidirect
13. #21452079C2semidirect
14. #21452070C2semidirect
15. #21452055C2semidirect
16. #21452049C2semidirect
17. #21452032C2semidirect
18. #21452031C2semidirect
19. #21452022C2semidirect
20. #21451948C2semidirect
21. #21451947C2semidirect
22. #21451506C2semidirect
23. #21451440C2semidirect
24. #21451433C2semidirect
25. #21451416C2semidirect
26. #21450758C2semidirect
27. #21450751C2semidirect
28. #21449238C2semidirect
29. #21449205C2semidirect
30. #21448264C2semidirect
31. C2×C61×#540C2semidirect
42. C2×#14519756C22semidirect
43. C2×#14519756C22semidirect
53. C2×#14519749C22semidirect
54. C2×#14519749C22semidirect
55. C2×#14519748C22semidirect
64. C22×C4×Dic61C22semidirect
68. #16839697C22semidirect
69. #16839695C22semidirect
70. #16839693C22semidirect
71. #16839693C22semidirect
72. #16839692C22semidirect
76. #16839687C22semidirect
77. #16839685C22semidirect
81. #16839682C22semidirect
89. #16839677C22semidirect
93. #16839676C22semidirect
94. #16839676C22semidirect
95. #16839676C22semidirect
96. #16839676C22semidirect
97. #16839674C22semidirect
111. #16839670C22semidirect
112. #16839670C22semidirect
113. #16839665C22semidirect
114. #16839665C22semidirect
123. #16839662C22semidirect
124. #16839662C22semidirect
125. #16839662C22semidirect
126. #16839658C22semidirect
127. #16839657C22semidirect
128. #16839657C22semidirect
129. #16839656C22semidirect
130. #16839656C22semidirect
131. #16839656C22semidirect
132. #16839656C22semidirect
137. #16839653C22semidirect
141. #16839652C22semidirect
142. #16839650C22semidirect
143. #16839648C22semidirect
144. #16839648C22semidirect
145. #16839646C22semidirect
146. #16839643C22semidirect
150. #16839642C22semidirect
155. #16839641C22semidirect
157. #16839638C22semidirect
158. #16839637C22semidirect
159. #16839637C22semidirect
160. #16839635C22semidirect
161. #16839635C22semidirect
162. #16839635C22semidirect
164. #16839633C22semidirect
165. #16839631C22semidirect
166. #16839620C22semidirect
167. #16839619C22semidirect
169. C4×C4⋊Dic61C22semidirect
171. C4×C22⋊Dic61C22semidirect
172. #16839608C22semidirect
175. C2×#125×C61C22semidirect
178. C2×#123×C61C22semidirect
179. C2×#123×C61C22semidirect
183. C2×#121×C61C22semidirect
184. C2×#121×C61C22semidirect
185. C2×#121×C61C22semidirect
187. C2×C4×D4×C61C22semidirect
188. C2×#117×C61C22semidirect
369. C4×D4×C61D4semidirect
885. C2×#540D61semidirect
937. C2×#125C2×D61semidirect
946. C2×#123C2×D61semidirect
947. C2×#123C2×D61semidirect
965. C2×#121C2×D61semidirect
966. C2×#121C2×D61semidirect
967. C2×#121C2×D61semidirect
975. C2×C4×D4C2×D61semidirect
977. C2×#117C2×D61semidirect
1088. C61#36744semidirect
1167. C4×D4C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403452
#214541622
#214541482
#214527082
#214526092
#214523332
#214521652
#214521562
#214521382
#214521202
#214521092
#214520802
#214520792
#214520702
#214520552
#214520492
#214520322
#214520312
#214520222
#214519482
#214519472
#214515062
#214514402
#214514332
#214514162
#214507582
#214507512
#214492382
#214492052
#214482642
C2×C61×#5402
#3674461