Finite Group Databasebeta

← #29886918

Subgroups — #29886918

Order 15616.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840364C211yesmaximal, characteristic, complemented
2C2×#16840272C211yesmaximal, characteristic, complemented
3#21454110C211yesmaximal, characteristic, complemented
4#21454102C211yesmaximal, characteristic, complemented
5#21452341C211yesmaximal, characteristic, complemented
6#21452324C211yesmaximal, characteristic, complemented
7#21452285C211yesmaximal, characteristic, complemented
8#21452250C211yesmaximal, characteristic, complemented
9#21452247C211yesmaximal, characteristic, complemented
10#21452151C211yesmaximal, characteristic, complemented
11#21452124C211yesmaximal, characteristic, complemented
12#21452109C211yesmaximal, characteristic, complemented
13#21452092C211yesmaximal, characteristic, complemented
14#21452084C211yesmaximal, characteristic, complemented
15#21452073C211yesmaximal, characteristic, complemented
16#21452058C211yesmaximal, characteristic, complemented
17#21452031C211yesmaximal, characteristic, complemented
18#21452031C211yesmaximal, characteristic, complemented
19#21452026C211yesmaximal, characteristic, complemented
20#21451709C211yesmaximal, characteristic, complemented
21#21451663C211yesmaximal, characteristic, complemented
22#21451497C211yesmaximal, characteristic, complemented
23#21451432C211yesmaximal, characteristic, complemented
24#21451384C211yesmaximal, characteristic, complemented
25#21451380C211yesmaximal, characteristic, complemented
26#21450777C211yesmaximal, characteristic, complemented
27#21450718C211yesmaximal, characteristic, complemented
28#21449433C211yesmaximal, characteristic, complemented
29#21449427C211yesmaximal, characteristic, complemented
30#21448447C211yesmaximal, characteristic, complemented
31C61×#2671C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34#16840364—28no—
35C2×#14519773C2211yescharacteristic
36C2×#14519773C2211yescharacteristic
37C2×#14519767C2211yescharacteristic, complemented
38C2×#14519763C2211yescharacteristic, complemented
39#16840272—28no—
40C2×#14519762C2211yescharacteristic
41C2×#14519761C2211yescharacteristic, complemented
42C2×#14519759C2211yescharacteristic
43C2×#14519759C2211yescharacteristic
44C2×#14519759C2211yescharacteristic
45C2×#14519759C2211yescharacteristic
46C2×#14519757C2211yescharacteristic
47C2×#14519756C2211yescharacteristic
48C2×#14519752C2211yescharacteristic
49C2×#14519752C2211yescharacteristic
50C2×#14519751C2211yescharacteristic
51C2×#14519751C2211yescharacteristic
52C2×#14519751C2211yescharacteristic
53C2×#14519750C2211yescharacteristic
54C2×#14519750C2211yescharacteristic, complemented
55C2×#14519750C2211yescharacteristic, complemented
56C2×#14519749C2211yescharacteristic
57C2×#14519749C2211yescharacteristic, complemented
58C2×#14519749C2211yescharacteristic, complemented
59C2×#14519748C2211yescharacteristic
60C2×#14519748C2211yescharacteristic
61C2×#14519747C2211yescharacteristic
62C2×#14519747C2211yescharacteristic
63C2×#14519745C2211yescharacteristic
64C2×#14519745C2211yescharacteristic
65C2×#14519745C2211yescharacteristic
66C2×D4×Dic61C2211yescharacteristic
67C2×D4×Dic61C2211yescharacteristic
68C2×C4×C22⋊D61C2211yescharacteristic, complemented
69C2×#14519737C2211yescharacteristic
70C2×#14519737C2211yescharacteristic
71C2×#14519735C2211yescharacteristic
72C2×#14519735C2211yescharacteristic, complemented
73#16839704C2211yescharacteristic, complemented
74#16839701C2211yescharacteristic, complemented
75#16839700C2211yescharacteristic, complemented
76#16839699C2211yescharacteristic, complemented
77#16839697C2211yescharacteristic
78#16839695C2211yescharacteristic, complemented
79#16839692C2211yescharacteristic, complemented
80#16839691C2211yescharacteristic
81#16839690C2211yescharacteristic
82#16839690C2211yescharacteristic
83#16839690C2211yescharacteristic, complemented
84#16839690C2211yescharacteristic, complemented
85#16839685C2211yescharacteristic, complemented
86#16839685C2211yescharacteristic, complemented
87#16839684C2211yescharacteristic
88#16839684C2211yescharacteristic, complemented
89#16839683C2211yescharacteristic, complemented
90#16839680C2211yescharacteristic, complemented
91#16839679C2211yescharacteristic
92#16839679C2211yescharacteristic
93#16839679C2211yescharacteristic
94#16839678C2211yescharacteristic
95#16839678C2211yescharacteristic
96#16839678C2211yescharacteristic, complemented
97#16839678C2211yescharacteristic, complemented
98#16839678C2211yescharacteristic, complemented
99#16839677C2211yescharacteristic
100#16839675C2211yescharacteristic, complemented
101#16839671C2211yescharacteristic
102#16839671C2211yescharacteristic
103#16839671C2211yescharacteristic
104#16839671C2211yescharacteristic
105#16839671C2211yescharacteristic
106#16839671C2211yescharacteristic, complemented
107#16839670C2211yescharacteristic
108#16839670C2211yescharacteristic
109#16839670C2211yescharacteristic
110#16839670C2211yescharacteristic
111#16839670C2211yescharacteristic
112#16839670C2211yescharacteristic
113#16839670C2211yescharacteristic, complemented
114#16839670C2211yescharacteristic, complemented
115#16839666C2211yescharacteristic, complemented
116#16839662C2211yescharacteristic
117#16839662C2211yescharacteristic
118#16839661C2211yescharacteristic, complemented
119#16839656C2211yescharacteristic, complemented
120#16839655C2211yescharacteristic
121#16839655C2211yescharacteristic
122#16839655C2211yescharacteristic, complemented
123#16839654C2211yescharacteristic
124#16839654C2211yescharacteristic, complemented
125#16839652C2211yescharacteristic
126#16839652C2211yescharacteristic
127#16839652C2211yescharacteristic, complemented
128#16839652C2211yescharacteristic, complemented
129#16839649C2211yescharacteristic, complemented
130#16839649C2211yescharacteristic, complemented
131#16839649C2211yescharacteristic, complemented
132#16839643C2211yescharacteristic, complemented
133#16839642C2211yescharacteristic
134#16839642C2211yescharacteristic, complemented
135#16839642C2211yescharacteristic, complemented
136#16839641C2211yescharacteristic
137#16839641C2211yescharacteristic
138#16839641C2211yescharacteristic, complemented
139#16839640C2211yescharacteristic
140#16839640C2211yescharacteristic
141#16839640C2211yescharacteristic
142#16839640C2211yescharacteristic
143#16839640C2211yescharacteristic
144#16839640C2211yescharacteristic
145#16839639C2211yescharacteristic
146#16839639C2211yescharacteristic
147#16839639C2211yescharacteristic
148#16839639C2211yescharacteristic
149#16839639C2211yescharacteristic, complemented
150#16839639C2211yescharacteristic, complemented
151#16839638C2211yescharacteristic
152#16839638C2211yescharacteristic
153#16839638C2211yescharacteristic
154#16839638C2211yescharacteristic, complemented
155#16839637C2211yescharacteristic
156#16839637C2211yescharacteristic, complemented
157#16839637C2211yescharacteristic, complemented
158#16839636C2211yescharacteristic
159#16839636C2211yescharacteristic
160#16839636C2211yescharacteristic, complemented
161#16839635C2211yescharacteristic
162#16839633C2211yescharacteristic, complemented
163#16839629C2211yescharacteristic, complemented
164#16839627C2211yescharacteristic, complemented
165#16839624C2211yescharacteristic
166#16839624C2211yescharacteristic
167#16839622C2211yescharacteristic, complemented
168#16839619C2211yescharacteristic
169#16839619C2211yescharacteristic
170#16839619C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic
172C22⋊C4×Dic61C2211yescharacteristic, complemented
173C2×#14519684C2211yescharacteristic, complemented
174C2×#123×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic
176C2×#121×C61C2211yescharacteristic
177C2×#121×C61C2211yescharacteristic
178C61×#399C2211yescharacteristic, complemented
179C61×#398C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic
181C61×#394C2211yescharacteristic
182C61×#394C2211yescharacteristic, complemented
183C61×#392C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic, complemented
186C61×#385C2211yescharacteristic, complemented
187C61×#385C2211yescharacteristic, complemented
188C61×#380C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C2×#11758224—24no—
191C2×#11758224—42no—
192C2×#11758224—42no—
193C22×Dic122C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
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
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C23×Dic61C2311yescharacteristic
216C23×Dic61C2311yescharacteristic
217C22×C4×D61—24no—
218C22×C4×D61—42no—
219C22×C4×D61—42no—
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226#14519773—24no—
227#14519773—42no—
228#14519767—24no—
229#14519763—42no—
230#14519762—24no—
231#14519761—24no—
232#14519759—24no—
233#14519759—24no—
234#14519759—24no—
235#14519759—42no—
236#14519757—24no—
237#14519756—24no—
238#14519752—24no—
239#14519752—42no—
240#14519751—24no—
241#14519751—42no—
242#14519751—42no—
243#14519750—24no—
244#14519750—24no—
245#14519750—24no—
246#14519749—24no—
247#14519749—42no—
248#14519749—42no—
249#14519748—24no—
250#14519748—42no—
251#14519747—42no—
252#14519747—42no—
253#14519745—24no—
254#14519745—24no—
255#14519745—42no—
256D4×Dic61—24no—
257D4×Dic61—24no—
258C4×C22⋊D61—24no—
259#14519737—24no—
260#14519737D418yescomplemented
261#14519735—24no—
262#14519735—24no—
263C2×C4⋊Dic61C2311yescharacteristic
264C2×C4⋊Dic61C2311yescharacteristic
265C2×C4⋊Dic61C2311yescharacteristic
266C2×C4⋊Dic61C2311yescharacteristic
267C2×C4⋊Dic61C2311yescharacteristic
268C2×C4⋊Dic61C2311yescharacteristic
269C2×C4⋊Dic61C2311yescharacteristic
270C2×C4⋊Dic61C2311yescharacteristic
271C2×C4⋊Dic61C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×#11758196C2311yescharacteristic
279C2×#11758196C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
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×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
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
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352C22×D4×C61C2311yescharacteristic
353C22×D4×C61C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C22×D4×C61C2311yescharacteristic
358C23×C4×C61C2311yescharacteristic
359C23×C4×C61C2311yescharacteristic
360C23×C4×C61C2311yescharacteristic
361#123×C61—24no—
362#121×C61—24no—
363#121×C61—42no—
364#121×C61—42no—
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊C4×C61C2311yescharacteristic
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C4⋊C4×C61C2311yescharacteristic
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C4⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊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
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61—41no—
402C23×D61C2411yescharacteristic
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—41no—
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—
424C22×C4×C61—22no—
425C22×C4×C61—22no—
426C22×C4×C61—22no—
427C22×C4×C61—41no—
428C22×C4×C61—41no—
429C22×C4×C61—41no—
430C22×C4×C61—41no—
431C22×C4×C61—41no—
432C22×C4×C61—41no—
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
439C22×C4×C61C2411yescharacteristic
440C22×C4×C61C2411yescharacteristic
441C22×C4×C61C2411yescharacteristic
442C22×C4×C61C2411yescharacteristic
443C22×C4×C61C2411yescharacteristic
444C2×C22⋊D61—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—22no—
447C2×C22⋊D61—22no—
448C2×C22⋊D61—22no—
449C2×C22⋊D61—22no—
450C2×C22⋊D61—22no—
451C2×C22⋊D61—22no—
452C2×C22⋊D61—22no—
453C2×C22⋊D61—22no—
454C2×C22⋊D61—22no—
455C2×C22⋊D61—22no—
456C2×C22⋊D61—22no—
457C2×C22⋊D61—41no—
458C2×C22⋊D61—41no—
459C2×C22⋊D61—41no—
460C2×C22⋊D61—41no—
461C2×C22⋊D61—41no—
462C2×C22⋊D61—41no—
463C2×C22⋊D61—41no—
464C2×C22⋊D61—41no—
465C2×C22⋊D61—41no—
466C2×C22⋊D61—41no—
467C2×C22⋊D61—41no—
468C2×C22⋊D61—41no—
469C2×C22⋊D61—41no—
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⋊D61C2×D414yes—
486C22×Dic61—22no—
487C22×Dic61—22no—
488C22×Dic61—41no—
489C22×Dic61—41no—
490C22×Dic61—41no—
491C22×Dic61—41no—
492C22×Dic61—41no—
493C22×Dic61—41no—
494C22×Dic61—41no—
495C22×Dic61—41no—
496C22×Dic61—41no—
497C22×Dic61C2×D414yes—
498C22×Dic61C2411yescharacteristic
499C22×Dic61C2411yescharacteristic
500C22×Dic61C2411yescharacteristic
501C22×Dic61C2411yescharacteristic
502C22×Dic61C2411yescharacteristic
503C22×Dic61C2411yescharacteristic
504C22×Dic61C2411yescharacteristic
505C22×Dic61C2411yescharacteristic
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510#11758224—416no—
511C2×D244—22no—
512C2×D244—22no—
513C2×D244—22no—
514C2×D244—22no—
515C2×D244—22no—
516C2×D244—41no—
517C2×D244—41no—
518C2×D244—41no—
519C2×D244—41no—
520C2×D244—41no—
521C2×D244—41no—
522C2×D244—41no—
523C2×D244—41no—
524C2×D244—41no—
525C2×D244—41no—
526C2×C4×D61—22no—
527C2×C4×D61—22no—
528C2×C4×D61—22no—
529C2×C4×D61—22no—
530C2×C4×D61—22no—
531C2×C4×D61—22no—
532C2×C4×D61—22no—
533C2×C4×D61—22no—
534C2×C4×D61—22no—
535C2×C4×D61—416no—
536C2×C4×D61—41no—
537C2×C4×D61—41no—
538C2×C4×D61—41no—
539C2×C4×D61—41no—
540C2×C4×D61—41no—
541C2×C4×D61—41no—
542C2×C4×D61—41no—
543C2×C4×D61—41no—
544C2×C4×D61C2×D414yes—
545C2×Dic122—22no—
546C2×Dic122—22no—
547C2×Dic122—41no—
548C4⋊C4×C61—22no—
549C4⋊C4×C61—22no—
550C4⋊C4×C61—22no—
551C4⋊C4×C61—41no—
552C4⋊C4×C61—41no—
553C4⋊C4×C61—41no—
554C4⋊C4×C61—41no—
555C22⋊C4×C61—22no—
556C22⋊C4×C61—22no—
557C22⋊C4×C61—22no—
558C22⋊C4×C61—22no—
559C22⋊C4×C61—22no—
560C22⋊C4×C61—22no—
561C22⋊C4×C61—41no—
562C22⋊C4×C61—41no—
563C22⋊C4×C61—41no—
564C22⋊C4×C61—41no—
565C22⋊C4×C61—41no—
566C22⋊C4×C61—41no—
567C22⋊C4×C61C2×D414yes—
568C22⋊Dic61—22no—
569C22⋊Dic61—22no—
570C22⋊Dic61—22no—
571C22⋊Dic61—22no—
572C22⋊Dic61—22no—
573C22⋊Dic61—22no—
574C22⋊Dic61—41no—
575C22⋊Dic61—41no—
576C22⋊Dic61—41no—
577C22⋊Dic61—41no—
578C22⋊Dic61—41no—
579C22⋊Dic61—41no—
580C22⋊Dic61—41no—
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—22no—
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—
602#11758198—41no—
603#11758198—41no—
604#11758198—41no—
605#11758198—41no—
606#11758198—41no—
607#11758198—41no—
608#11758198C2×D414yes—
609C4⋊Dic61—22no—
610C4⋊Dic61—22no—
611C4⋊Dic61—22no—
612C4⋊Dic61—22no—
613C4⋊Dic61—22no—
614C4⋊Dic61—41no—
615C4⋊Dic61—41no—
616C4⋊Dic61—41no—
617C4⋊Dic61—41no—
618#11758196—22no—
619#11758196—22no—
620#11758196—22no—
621#11758196—22no—
622#11758196—22no—
623#11758196—41no—
624#11758196—41no—
625#11758196C2×D414yes—
626C4×Dic61—22no—
627C4×Dic61—22no—
628C4×Dic61—41no—
629C4×Dic61—41no—
630C4×Dic61C2×D414yes—
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×C61C22×D412yes—
658C23×C61H(5,𝔽2)12yes—
659C23×C61C2511yescharacteristic
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
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—44no—
688C22×D61—44no—
689C22×D61—44no—
690C22×D61—44no—
691C22×D61—44no—
692C22×D61—44no—
693C22×D61C22×D412yes—
694C22×D61H(5,𝔽2)12yes—
695D4×C61—44no—
696D4×C61—44no—
697D4×C61—44no—
698D4×C61—82no—
699D4×C61—82no—
700D4×C61—82no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
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—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—44no—
732C2×C4×C61—82no—
733C2×C4×C61—82no—
734C2×C4×C61C22×D412yes—
735C2×C4×C61C22×D412yes—
736C2×C4×C61H(5,𝔽2)12yes—
737C22⋊D61—44no—
738C22⋊D61—44no—
739C22⋊D61—44no—
740C22⋊D61—44no—
741C22⋊D61—44no—
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—44no—
785C2×Dic61—44no—
786C2×Dic61—44no—
787C2×Dic61—82no—
788C2×Dic61C22×D412yes—
789C2×Dic61C22×D412yes—
790C2×Dic61C22×D412yes—
791D244—82no—
792D244—82no—
793D244—82no—
794D244—82no—
795D244—82no—
796C4×D61—28no—
797C4×D61—44no—
798C4×D61—44no—
799C4×D61—44no—
800C4×D61—44no—
801C4×D61—82no—
802Dic122—44no—
803#36713—611nomaximal, Sylow
804C22×C61—22no—
805C22×C61—22no—
806C22×C61—22no—
807C22×C61—22no—
808C22×C61—22no—
809C22×C61—22no—
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×C61C23×D411yescharacteristic
833C22×C61C2×H(5,𝔽2)11yescharacteristic
834C22×C61C2×H(5,𝔽2)11yescharacteristic
835C22×C61C2×H(5,𝔽2)11yescharacteristic
836C22×C61#58511yescharacteristic
837C22×C61#58511yescharacteristic
838C22×C61#58511yescharacteristic
839C2×D61—22no—
840C2×D61—22no—
841C2×D61—22no—
842C2×D61—22no—
843C2×D61—22no—
844C2×D61—22no—
845C2×D61—416no—
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—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—41no—
866C2×D61—41no—
867C2×D61—41no—
868C4×C61—22no—
869C4×C61—22no—
870C4×C61—22no—
871C4×C61—41no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61—41no—
878C4×C61—41no—
879Dic61—22no—
880Dic61—22no—
881Dic61—22no—
882Dic61—41no—
883Dic61—41no—
884Dic61—41no—
885Dic61—41no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890Dic61—41no—
891C2×#540—611no—
892C2×#525—611no—
893#2849—611no—
894#2847—611no—
895#2694—611no—
896#2693—611no—
897#2690—611no—
898#2688—611no—
899#2687—611no—
900#2678—611no—
901#2676—611no—
902#2675—611no—
903#2673—611no—
904#2673—611no—
905#2672—611no—
906#2671—611no—
907#2671D6111yescharacteristic, complemented
908#2669—611no—
909#2669—611no—
910#2668—611no—
911#2635—611no—
912#2630—611no—
913#2609—611no—
914#2602—611no—
915#2598—611no—
916#2598—611no—
917#2543—611no—
918#2535—611no—
919#2431—611no—
920#2430—611no—
921#2318—611no—
922C2×C61—42no—
923C2×C61—42no—
924C2×C61—81no—
925C2×C61—81no—
926C2×C61#344911yescharacteristic
927C2×C61#348411yescharacteristic
928C2×C61#348811yescharacteristic
929C2×C61#353311yescharacteristic
930C2×C61#353411yescharacteristic
931C2×C61#353911yescharacteristic
932C2×C61#354211yescharacteristic
933D61—42no—
934D61—42no—
935D61—81no—
936D61—81no—
937C22×#41—611no—
938C24×C4—611no—
939#540—1228no—
940C2×#127—611no—
941C2×#127—611no—
942C2×#125—611no—
943C2×#124—611no—
944#525—1228no—
945C2×#123—611no—
946C2×#123—611no—
947C2×#123—611no—
948C2×#123—611no—
949C2×#123—611no—
950C2×#123—611no—
951C2×#123C2×D6111yescharacteristic, complemented
952C2×C22⋊Q8—611no—
953C2×C22⋊Q8—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×#121—611no—
963C2×#121—611no—
964C2×#121—611no—
965C2×#121—611no—
966C2×#121—611no—
967C2×#121C2×D6111yescharacteristic
968C2×#121C2×D6111yescharacteristic
969C2×#121C2×D6111yescharacteristic
970C2×#120—611no—
971C2×#120—611no—
972C2×#120—611no—
973C2×#120—611no—
974C2×#120—611no—
975C2×C4×D4—611no—
976C2×C4×D4—611no—
977C2×C4×D4—611no—
978C2×C4×D4—611no—
979C2×C4×D4—611no—
980C2×#117—611no—
981C2×#117—611no—
982#400—611no—
983#400—611no—
984#400—611no—
985#399—611no—
986#399—611no—
987#399C2×D6111yescharacteristic, complemented
988#398—611no—
989#398—611no—
990#398C2×D6111yescharacteristic, complemented
991#397—611no—
992#397—611no—
993#397—611no—
994#397—611no—
995#397—611no—
996#396—611no—
997#396—611no—
998#396—611no—
999#396—611no—
1000#395—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#394C2×D6111yescharacteristic
1012#394C2×D6111yescharacteristic
1013#394C2×D6111yescharacteristic, complemented
1014#393—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#392—611no—
1029#392C2×D6111yescharacteristic, complemented
1030#391—611no—
1031#390—611no—
1032#390—611no—
1033#389—611no—
1034#388—611no—
1035#388—611no—
1036#388—611no—
1037#388—611no—
1038#388—611no—
1039#388—611no—
1040#388—611no—
1041#388—611no—
1042#388—611no—
1043#388—611no—
1044#387—611no—
1045#387—611no—
1046#387—611no—
1047#387—611no—
1048#386—611no—
1049#386—611no—
1050#386—611no—
1051#386—611no—
1052#386—611no—
1053#386—611no—
1054#386—611no—
1055#386—611no—
1056#386—611no—
1057#386—611no—
1058#386—611no—
1059#386—611no—
1060#386—611no—
1061#386—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#386C2×D6111yescharacteristic
1071#386C2×D6111yescharacteristic, complemented
1072#385—611no—
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385—611no—
1080#385C2×D6111yescharacteristic, complemented
1081#385C2×D6111yescharacteristic, complemented
1082#383—611no—
1083#382—611no—
1084#381—611no—
1085#381—611no—
1086#380—611no—
1087#380—611no—
1088#380—611no—
1089#380—611no—
1090#380C2×D6111yescharacteristic
1091#379—611no—
1092C4×C22⋊C4—611no—
1093C2×#95—611no—
1094C61#3671311yescharacteristic, complemented, Sylow
1095C25—611no—
1096C2×#41—1224no—
1097C2×#41—2442no—
1098C2×#41—2442no—
1099C22×Q8—611no—
1100C22×D4—611no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—611no—
1104C22×D4—611no—
1105C22×D4—611no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—611no—
1109C22×D4—611no—
1110C22×D4—611no—
1111C22×D4—611no—
1112C22×D4—611no—
1113C22×D4—611no—
1114C22×D4—611no—
1115C22×D4—611no—
1116C22×D4—611no—
1117C22×D4—611no—
1118C22×D4—611no—
1119C22×D4C22×D6111yescharacteristic
1120C22×D4C22×D6111yescharacteristic
1121C22×D4C22×D6111yescharacteristic
1122C22×D4C22×D6111yescharacteristic
1123C22×D4C22×D6111yescharacteristic
1124C22×D4C22×D6111yescharacteristic
1125C23×C4—611no—
1126C23×C4—611no—
1127C23×C4—611no—
1128C23×C4—611no—
1129C23×C4—611no—
1130C23×C4—611no—
1131C23×C4—611no—
1132C23×C4—611no—
1133C23×C4—611no—
1134C23×C4—611no—
1135C23×C4—1224no—
1136C23×C4—2442no—
1137C23×C4—2442no—
1138C23×C4C22×D6111yescharacteristic
1139C23×C4C22×D6111yescharacteristic
1140C23×C4C22×D6111yescharacteristic
1141#127—1224no—
1142#127—2442no—
1143#125—1224no—
1144#124—2442no—
1145#123—24no—
1146#123—1224no—
1147#123—1224no—
1148#123—1224no—
1149#123—1224no—
1150#123—1224no—
1151#123—2442no—
1152C22⋊Q8—1224no—
1153C22⋊Q8—1224no—
1154#121—24no—
1155#121—42no—
1156#121—42no—
1157#121—1224no—
1158#121—1224no—
1159#121—1224no—
1160#121—1224no—
1161#121—1224no—
1162#121—1224no—
1163#121—1224no—
1164#121—2442no—
1165#121—2442no—
1166#121—2442no—
1167#121—2442no—
1168#121—2442no—
1169#121—2442no—
1170#120—1224no—
1171#120—1224no—
1172#120—2442no—
1173#120—2442no—
1174#120—2442no—
1175C4×D4—618no—
1176C4×D4—1224no—
1177C4×D4—1224no—
1178C4×D4—1224no—
1179C4×D4—1224no—
1180#117—1224no—
1181#117—1224no—
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⋊C4—611no—
1191C2×C4⋊C4—611no—
1192C2×C4⋊C4—611no—
1193C2×C4⋊C4—611no—
1194C2×C4⋊C4—611no—
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4—611no—
1197C2×C4⋊C4—611no—
1198C2×C4⋊C4—611no—
1199C2×C4⋊C4C22×D6111yescharacteristic
1200C2×C4⋊C4C22×D6111yescharacteristic
1201C2×C4⋊C4C22×D6111yescharacteristic
1202C2×C4⋊C4C22×D6111yescharacteristic
1203C2×C4⋊C4C22×D6111yescharacteristic
1204C2×C4⋊C4C22×D6111yescharacteristic
1205C2×C4⋊C4C22×D6111yescharacteristic
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—611no—
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×C22⋊C4C22×D6111yescharacteristic
1258C2×C22⋊C4C22×D6111yescharacteristic
1259C2×C22⋊C4C22×D6111yescharacteristic
1260C2×C42—611no—
1261C2×C42—611no—
1262C2×C42—611no—
1263C2×C42—611no—
1264C2×C42—611no—
1265#95—611no—
1266#95—611no—
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—
1291#95C22×D6111yescharacteristic
1292#95C22×D6111yescharacteristic
1293#95C22×D6111yescharacteristic
1294#95C22×D6111yescharacteristic
1295#95C22×D6111yescharacteristic
1296#95C22×D6111yescharacteristic
1297C24—611no—
1298C24—611no—
1299C24—611no—
1300C24—611no—
1301C24—1222no—
1302C24—1222no—
1303C24—1222no—
1304C24—2441no—
1305C24—2441no—
1306C24—2441no—
1307C24—2441no—
1308C24C23×D6111yescharacteristic
1309C24C23×D6111yescharacteristic
1310C24C23×D6111yescharacteristic
1311C24C23×D6111yescharacteristic
1312#41—24416no—
1313C2×Q8—1222no—
1314C2×Q8—1222no—
1315C2×Q8—2441no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
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—614no—
1335C2×D4—1222no—
1336C2×D4—1222no—
1337C2×D4—1222no—
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—1222no—
1350C2×D4—1222no—
1351C2×D4—1222no—
1352C2×D4—1222no—
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×D4—2441no—
1384C2×D4—2441no—
1385C2×D4—2441no—
1386C2×D4—2441no—
1387C2×D4—2441no—
1388C2×D4—2441no—
1389C2×D4—2441no—
1390C2×D4—2441no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—614no—
1404C22×C4—614no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—611no—
1408C22×C4—611no—
1409C22×C4—611no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—1222no—
1415C22×C4—1222no—
1416C22×C4—1222no—
1417C22×C4—1222no—
1418C22×C4—1222no—
1419C22×C4—1222no—
1420C22×C4—1222no—
1421C22×C4—1222no—
1422C22×C4—1222no—
1423C22×C4—1222no—
1424C22×C4—1222no—
1425C22×C4—2441no—
1426C22×C4—2441no—
1427C22×C4—2441no—
1428C22×C4—2441no—
1429C22×C4—2441no—
1430C22×C4—2441no—
1431C22×C4—2441no—
1432C22×C4—2441no—
1433C22×C4—24416no—
1434C22×C4—2441no—
1435C22×C4—2441no—
1436C22×C4—2441no—
1437C22×C4—2441no—
1438C22×C4—2441no—
1439C22×C4—2441no—
1440C22×C4—2441no—
1441C22×C4—2441no—
1442C22×C4—2441no—
1443C22×C4C23×D6111yescharacteristic
1444C22×C4C23×D6111yescharacteristic
1445C22×C4C23×D6111yescharacteristic
1446C22×C4C23×D6111yescharacteristic
1447C22×C4C23×D6111yescharacteristic
1448C22×C4C23×D6111yescharacteristic
1449C22×C4C23×D6111yescharacteristic
1450C22×C4C23×D6111yescharacteristic
1451C22×C4C23×D6111yescharacteristic
1452C22×C4C23×D6111yescharacteristic
1453C22×C4C23×D6111yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4—614no—
1462C4⋊C4—1222no—
1463C4⋊C4—1222no—
1464C4⋊C4—1222no—
1465C4⋊C4—1222no—
1466C4⋊C4—1222no—
1467C4⋊C4—1222no—
1468C4⋊C4—1222no—
1469C4⋊C4—1222no—
1470C4⋊C4—1222no—
1471C4⋊C4—1222no—
1472C4⋊C4—2441no—
1473C4⋊C4—2441no—
1474C4⋊C4—2441no—
1475C4⋊C4—2441no—
1476C4⋊C4—2441no—
1477C4⋊C4—2441no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—614no—
1491C22⋊C4—1222no—
1492C22⋊C4—1222no—
1493C22⋊C4—1222no—
1494C22⋊C4—1222no—
1495C22⋊C4—1222no—
1496C22⋊C4—1222no—
1497C22⋊C4—1222no—
1498C22⋊C4—1222no—
1499C22⋊C4—1222no—
1500C22⋊C4—1222no—
1501C22⋊C4—1222no—
1502C22⋊C4—1222no—
1503C22⋊C4—1222no—
1504C22⋊C4—1222no—
1505C22⋊C4—1222no—
1506C22⋊C4—1222no—
1507C22⋊C4—1222no—
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⋊C4—2441no—
1519C22⋊C4—2441no—
1520C22⋊C4—2441no—
1521C22⋊C4—2441no—
1522C22⋊C4—2441no—
1523C22⋊C4—2441no—
1524C22⋊C4—2441no—
1525C22⋊C4—2441no—
1526C22⋊C4—2441no—
1527C22⋊C4—2441no—
1528C22⋊C4—2441no—
1529C22⋊C4—2441no—
1530C22⋊C4—2441no—
1531C22⋊C4D4×D6114yes—
1532C42—614no—
1533C42—1222no—
1534C42—1222no—
1535C42—2441no—
1536C42—2441no—
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—21no—
1563C23—612no—
1564C23—612no—
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—1221no—
1584C23—1221no—
1585C23—1221no—
1586C23—1221no—
1587C23—1221no—
1588C23—1221no—
1589C23—1221no—
1590C23—1221no—
1591C23—2444no—
1592C23—2444no—
1593C23—2444no—
1594C23—2444no—
1595C23—2444no—
1596C23—2444no—
1597C23—2444no—
1598C23C2×D4×D6112yes—
1599C23#1451982212yes—
1600C23C24×D6111yescharacteristic
1601Q8—2444no—
1602D4—44no—
1603D4—44no—
1604D4—44no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—4882no—
1609D4—4882no—
1610D4—4882no—
1611D4—4882no—
1612D4—4882no—
1613D4—4882no—
1614D4—4882no—
1615D4—4882no—
1616D4—4882no—
1617D4—4882no—
1618D4—4882no—
1619D4—4882no—
1620D4—4882no—
1621D4—4882no—
1622D4—2444no—
1623D4—2444no—
1624D4—2444no—
1625D4—2444no—
1626D4—2444no—
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—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—44no—
1658C2×C4—82no—
1659C2×C4—82no—
1660C2×C4—612no—
1661C2×C4—612no—
1662C2×C4—612no—
1663C2×C4—1228no—
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—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—1221no—
1697C2×C4—4882no—
1698C2×C4—4882no—
1699C2×C4—2444no—
1700C2×C4—2444no—
1701C2×C4—2444no—
1702C2×C4—2444no—
1703C2×C4—2444no—
1704C2×C4—2444no—
1705C2×C4—2444no—
1706C2×C4C2×D4×D6112yes—
1707C2×C4C2×D4×D6112yes—
1708C2×C4#1451982312yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
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—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—1222no—
1738C22—1222no—
1739C22—1222no—
1740C22—1222no—
1741C22—1222no—
1742C22—1222no—
1743C22—24416no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22—2441no—
1752C22—2441no—
1753C22—2441no—
1754C22—2441no—
1755C22—2441no—
1756C22—2441no—
1757C22—2441no—
1758C22—2441no—
1759C22—2441no—
1760C22—2441no—
1761C22—2441no—
1762C22—2441no—
1763C22—2441no—
1764C22—2441no—
1765C22—2441no—
1766C22C22×D4×D6111yescharacteristic
1767C22H(5,𝔽2)×D6111yescharacteristic
1768C22C2×#1451982211yescharacteristic
1769C22C2×#1451982311yescharacteristic
1770C22#1684059711yescharacteristic
1771C22#1684059711yescharacteristic
1772C22#1684059911yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—1222no—
1785C4—1222no—
1786C4—1222no—
1787C4—2441no—
1788C4—2441no—
1789C4—2441no—
1790C4—2441no—
1791C4—2441no—
1792C4—2441no—
1793C4—2441no—
1794C4—2441no—
1795C4—2441no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—81no—
1800C2—4881no—
1801C2—4881no—
1802C2—2442no—
1803C2—2442no—
1804C2#2145914711yescharacteristic
1805C2#2145944911yescharacteristic
1806C2#2145947911yescharacteristic
1807C2#2145998111yescharacteristic
1808C2#2146000611yescharacteristic
1809C2#2146007811yescharacteristic
1810C2#2146013611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2671C2
hypercenter#2671D61
hypocenterC61#36713
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2671

Complements

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

NH ≅ G/Ntype
1. C2×#16840364C2semidirect
2. C2×#16840272C2semidirect
3. #21454110C2semidirect
4. #21454102C2semidirect
5. #21452341C2semidirect
6. #21452324C2semidirect
7. #21452285C2semidirect
8. #21452250C2semidirect
9. #21452247C2semidirect
10. #21452151C2semidirect
11. #21452124C2semidirect
12. #21452109C2semidirect
13. #21452092C2semidirect
14. #21452084C2semidirect
15. #21452073C2semidirect
16. #21452058C2semidirect
17. #21452031C2semidirect
18. #21452031C2semidirect
19. #21452026C2semidirect
20. #21451709C2semidirect
21. #21451663C2semidirect
22. #21451497C2semidirect
23. #21451432C2semidirect
24. #21451384C2semidirect
25. #21451380C2semidirect
26. #21450777C2semidirect
27. #21450718C2semidirect
28. #21449433C2semidirect
29. #21449427C2semidirect
30. #21448447C2semidirect
31. C61×#2671C2semidirect
37. C2×#14519767C22semidirect
38. C2×#14519763C22semidirect
41. C2×#14519761C22semidirect
54. C2×#14519750C22semidirect
55. C2×#14519750C22semidirect
57. C2×#14519749C22semidirect
58. C2×#14519749C22semidirect
68. C2×C4×C22⋊D61C22semidirect
72. C2×#14519735C22semidirect
73. #16839704C22semidirect
74. #16839701C22semidirect
75. #16839700C22semidirect
76. #16839699C22semidirect
78. #16839695C22semidirect
79. #16839692C22semidirect
83. #16839690C22semidirect
84. #16839690C22semidirect
85. #16839685C22semidirect
86. #16839685C22semidirect
88. #16839684C22semidirect
89. #16839683C22semidirect
90. #16839680C22semidirect
96. #16839678C22semidirect
97. #16839678C22semidirect
98. #16839678C22semidirect
100. #16839675C22semidirect
106. #16839671C22semidirect
113. #16839670C22semidirect
114. #16839670C22semidirect
115. #16839666C22semidirect
118. #16839661C22semidirect
119. #16839656C22semidirect
122. #16839655C22semidirect
124. #16839654C22semidirect
127. #16839652C22semidirect
128. #16839652C22semidirect
129. #16839649C22semidirect
130. #16839649C22semidirect
131. #16839649C22semidirect
132. #16839643C22semidirect
134. #16839642C22semidirect
135. #16839642C22semidirect
138. #16839641C22semidirect
149. #16839639C22semidirect
150. #16839639C22semidirect
154. #16839638C22semidirect
156. #16839637C22semidirect
157. #16839637C22semidirect
160. #16839636C22semidirect
162. #16839633C22semidirect
163. #16839629C22semidirect
164. #16839627C22semidirect
167. #16839622C22semidirect
170. #16839619C22semidirect
172. C22⋊C4×Dic61C22semidirect
173. C2×#14519684C22semidirect
174. C2×#123×C61C22semidirect
178. C61×#399C22semidirect
179. C61×#398C22semidirect
182. C61×#394C22semidirect
183. C61×#392C22semidirect
185. C61×#386C22semidirect
186. C61×#385C22semidirect
187. C61×#385C22semidirect
260. #14519737D4semidirect
907. #2671D61semidirect
951. C2×#123C2×D61semidirect
987. #399C2×D61semidirect
990. #398C2×D61semidirect
1013. #394C2×D61semidirect
1029. #392C2×D61semidirect
1071. #386C2×D61semidirect
1080. #385C2×D61semidirect
1081. #385C2×D61semidirect
1094. C61#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#168403642
C2×#168402722
#214541102
#214541022
#214523412
#214523242
#214522852
#214522502
#214522472
#214521512
#214521242
#214521092
#214520922
#214520842
#214520732
#214520582
#214520312
#214520262
#214517092
#214516632
#214514972
#214514322
#214513842
#214513802
#214507772
#214507182
#214494332
#214494272
#214484472
C61×#26712
#3671361