Finite Group Databasebeta

← #29848186

Subgroups — #29848186

Order 15616.

2992 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840295C211yesmaximal, characteristic, complemented
2C2×C4×D4×D61C211yesmaximal, characteristic, complemented
3#21450069C211yesmaximal, characteristic, complemented
4#21450061C211yesmaximal, characteristic, complemented
5#21449885C211yesmaximal, characteristic, complemented
6#21449728C211yesmaximal, characteristic, complemented
7#21449720C211yesmaximal, characteristic, complemented
8#21449688C211yesmaximal, characteristic, complemented
9#21449603C211yesmaximal, characteristic, complemented
10#21449538C211yesmaximal, characteristic, complemented
11#21449465C211yesmaximal, characteristic, complemented
12#21449395C211yesmaximal, characteristic, complemented
13#21449310C211yesmaximal, characteristic, complemented
14#21449288C211yesmaximal, characteristic, complemented
15#21449286C211yesmaximal, characteristic, complemented
16#21449265C211yesmaximal, characteristic, complemented
17#21449170C211yesmaximal, characteristic
18#21449083C211yesmaximal, characteristic, complemented
19#21449075C211yesmaximal, characteristic, complemented
20#21449062C211yesmaximal, characteristic, complemented
21#21449060C211yesmaximal, characteristic, complemented
22#21448360C211yesmaximal, characteristic, complemented
23#21448353C211yesmaximal, characteristic, complemented
24#21448331C211yesmaximal, characteristic, complemented
25#21448320C211yesmaximal, characteristic, complemented
26#21448320C211yesmaximal, characteristic, complemented
27#21448279C211yesmaximal, characteristic, complemented
28#21448201C211yesmaximal, characteristic, complemented
29#21448199C211yesmaximal, characteristic, complemented
30C4×#14519739C211yesmaximal, characteristic, complemented
31C61×#2468C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840295—28no—
36C2×#14519771C2211yescharacteristic, complemented
37C2×#14519767C2211yescharacteristic, complemented
38C2×#14519763C2211yescharacteristic
39C2×#14519763C2211yescharacteristic
40C2×#14519762C2211yescharacteristic, complemented
41C2×#14519759C2211yescharacteristic, complemented
42C2×#14519755C2211yescharacteristic
43C2×#14519755C2211yescharacteristic, complemented
44C2×#14519750C2211yescharacteristic
45C2×#14519750C2211yescharacteristic
46C2×#14519747C2211yescharacteristic
47C2×#14519747C2211yescharacteristic
48C2×#14519742C2211yescharacteristic, complemented
49C2×C4×D244C2211yescharacteristic
50C2×C4×D244C2211yescharacteristic
51C2×D4×Dic61C2211yescharacteristic
52C2×#14519739C2211yescharacteristic
53C2×#14519739C2211yescharacteristic
54C2×#14519739C2211yescharacteristic
55C2×#14519739C2211yescharacteristic, complemented
56C2×#14519739C2211yescharacteristic, complemented
57C2×C4×C22⋊D61C2211yescharacteristic
58C2×C4×C22⋊D61C2211yescharacteristic
59C2×#14519737C2211yescharacteristic
60C2×#14519737C2211yescharacteristic
61C2×#14519737C2211yescharacteristic, complemented
62C2×#14519737C2211yescharacteristic, complemented
63C4×D4×D61—28no—
64C2×#14519735C2211yescharacteristic, complemented
65C2×#14519735C2211yescharacteristic, complemented
66C2×#14519733C2211yescharacteristic, complemented
67C2×#14519733C2211yescharacteristic, complemented
68C2×C4⋊C4×D61C2211yescharacteristic
69C2×C22⋊C4×D61C2211yescharacteristic
70C2×C22⋊C4×D61C2211yescharacteristic
71C2×C42×D61C2211yescharacteristic
72C2×C42×D61C2211yescharacteristic, complemented
73#16839704C2211yescharacteristic, complemented
74#16839701C2211yescharacteristic, complemented
75#16839699C2211yescharacteristic, complemented
76#16839698C2211yescharacteristic, complemented
77#16839696C2211yescharacteristic, complemented
78#16839695C2211yescharacteristic, complemented
79#16839690C2211yescharacteristic, complemented
80#16839690C2211yescharacteristic, complemented
81#16839690C2211yescharacteristic, complemented
82#16839689C2211yescharacteristic, complemented
83#16839689C2211yescharacteristic, complemented
84#16839688C2211yescharacteristic, complemented
85#16839688C2211yescharacteristic, complemented
86#16839687C2211yescharacteristic, complemented
87#16839685C2211yescharacteristic, complemented
88#16839684C2211yescharacteristic, complemented
89#16839684C2211yescharacteristic, complemented
90#16839684C2211yescharacteristic, complemented
91#16839680C2211yescharacteristic
92#16839680C2211yescharacteristic, complemented
93#16839679C2211yescharacteristic
94#16839679C2211yescharacteristic
95#16839679C2211yescharacteristic, complemented
96#16839678C2211yescharacteristic, complemented
97#16839677C2211yescharacteristic, complemented
98#16839676C2211yescharacteristic
99#16839672C2211yescharacteristic
100#16839670C2211yescharacteristic
101#16839666C2211yescharacteristic, complemented
102#16839666C2211yescharacteristic, complemented
103#16839662C2211yescharacteristic
104#16839662C2211yescharacteristic
105#16839662C2211yescharacteristic
106#16839662C2211yescharacteristic
107#16839659C2211yescharacteristic, complemented
108#16839659C2211yescharacteristic, complemented
109#16839657C2211yescharacteristic, complemented
110#16839657C2211yescharacteristic, complemented
111#16839656C2211yescharacteristic, complemented
112#16839655C2211yescharacteristic, complemented
113#16839653C2211yescharacteristic, complemented
114#16839653C2211yescharacteristic, complemented
115#16839653C2211yescharacteristic, complemented
116#16839652C2211yescharacteristic, complemented
117#16839651C2211yescharacteristic, complemented
118#16839646C2211yescharacteristic, complemented
119#16839641C2211yescharacteristic, complemented
120#16839641C2211yescharacteristic, complemented
121#16839640C2211yescharacteristic
122#16839640C2211yescharacteristic
123#16839640C2211yescharacteristic, complemented
124#16839640C2211yescharacteristic, complemented
125#16839640C2211yescharacteristic, complemented
126#16839638C2211yescharacteristic, complemented
127#16839636C2211yescharacteristic
128#16839633C2211yescharacteristic
129#16839633C2211yescharacteristic
130#16839633C2211yescharacteristic
131#16839633C2211yescharacteristic, complemented
132#16839633C2211yescharacteristic, complemented
133#16839626C2211yescharacteristic, complemented
134#16839625C2211yescharacteristic, complemented
135#16839624C2211yescharacteristic, complemented
136#16839624C2211yescharacteristic, complemented
137#16839622C2211yescharacteristic, complemented
138#16839621C2211yescharacteristic
139#16839621C2211yescharacteristic
140#16839621C2211yescharacteristic
141#16839621C2211yescharacteristic, complemented
142#16839621C2211yescharacteristic, complemented
143#16839621C2211yescharacteristic, complemented
144#16839619C2211yescharacteristic
145#16839619C2211yescharacteristic
146#16839617C2211yescharacteristic
147#16839617C2211yescharacteristic
148#16839617C2211yescharacteristic
149#16839617C2211yescharacteristic
150#16839617C2211yescharacteristic
151#16839617C2211yescharacteristic
152C4⋊C4×Dic61C2211yescharacteristic, complemented
153C4⋊C4×Dic61C2211yescharacteristic, complemented
154C4⋊C4×Dic61C2211yescharacteristic, complemented
155#16839613C2211yescharacteristic, complemented
156#16839613C2211yescharacteristic, complemented
157C22⋊C4×Dic61C2211yescharacteristic, complemented
158C22⋊C4×Dic61C2211yescharacteristic, complemented
159C22⋊C4×Dic61C2211yescharacteristic, complemented
160C22⋊C4×Dic61C2211yescharacteristic, complemented
161C4×#11758198C2211yescharacteristic
162C4×#11758198C2211yescharacteristic, complemented
163#16839609C2211yescharacteristic
164#16839609C2211yescharacteristic
165#16839609C2211yescharacteristic
166#16839609C2211yescharacteristic
167#16839609C2211yescharacteristic, complemented
168#16839609C2211yescharacteristic, complemented
169#16839609C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic, complemented
171#16839609C2211yescharacteristic, complemented
172#16839609C2211yescharacteristic, complemented
173C42×Dic61C2211yescharacteristic, complemented
174C2×#126×C61C2211yescharacteristic, complemented
175C2×C4×D4×C61C2211yescharacteristic
176C61×#398C2211yescharacteristic, complemented
177C61×#398C2211yescharacteristic, complemented
178C61×#394C2211yescharacteristic
179C61×#394C2211yescharacteristic
180C61×#388C2211yescharacteristic, complemented
181C61×#388C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic, complemented
183C61×#387C2211yescharacteristic, complemented
184C61×#385C2211yescharacteristic, complemented
185C61×#385C2211yescharacteristic, complemented
186C61×#381C2211yescharacteristic, complemented
187C61×#380C2211yescharacteristic, complemented
188C4×C4⋊C4×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C2×D4×D61—24no—
201C2×D4×D61—24no—
202C2×D4×D61—24no—
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C22×C4×D61—24no—
206C22×C4×D61—24no—
207C22×C4×D61—24no—
208C22×C4×D61—24no—
209C22×C4×D61—42no—
210C22×C4×D61—42no—
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223#14519771—24no—
224#14519767—24no—
225#14519763—24no—
226#14519763—24no—
227#14519762—24no—
228#14519759—24no—
229#14519755—24no—
230#14519755—24no—
231#14519750—24no—
232#14519750—24no—
233#14519747—24no—
234#14519747—24no—
235#14519742—24no—
236C4×D244—24no—
237C4×D244—24no—
238D4×Dic61—24no—
239#14519739—24no—
240#14519739—24no—
241#14519739—24no—
242#14519739—24no—
243#14519739—42no—
244C4×C22⋊D61—24no—
245C4×C22⋊D61—24no—
246#14519737—24no—
247#14519737—24no—
248#14519737—42no—
249#14519737D418yescomplemented
250#14519735—24no—
251#14519735—42no—
252#14519733—24no—
253#14519733—42no—
254C2×C4⋊Dic61C2311yescharacteristic
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C4⋊C4×D61—24no—
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×#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×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C22⋊C4×D61—24no—
315C22⋊C4×D61—24no—
316C2×C4×Dic61C2311yescharacteristic
317C2×C4×Dic61C2311yescharacteristic
318C2×C4×Dic61C2311yescharacteristic
319C2×C4×Dic61C2311yescharacteristic
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
326C2×C4×Dic61C2311yescharacteristic
327C2×C4×Dic61C2311yescharacteristic
328C2×C4×Dic61C2311yescharacteristic
329C2×C4×Dic61C2311yescharacteristic
330C42×D61—24no—
331C42×D61—24no—
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
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C23×C4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357#126×C61—24no—
358C4×D4×C61—24no—
359C2×C4⋊C4×C61C2311yescharacteristic
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊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×C42×C61C2311yescharacteristic
379C2×C42×C61C2311yescharacteristic
380C2×C42×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382#95×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C23×D61—22no—
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—22no—
399C23×D61—22no—
400C23×D61—22no—
401C23×D61—22no—
402C23×D61—22no—
403C23×D61—41no—
404C23×D61—41no—
405C23×D61—41no—
406C23×D61—41no—
407C23×D61C2411yescharacteristic
408C23×D61C2411yescharacteristic
409C23×D61C2411yescharacteristic
410C23×D61C2411yescharacteristic
411C2×D4×C61—22no—
412C2×D4×C61—22no—
413C2×D4×C61—22no—
414C22×C4×C61—22no—
415C22×C4×C61—22no—
416C22×C4×C61—22no—
417C22×C4×C61—22no—
418C22×C4×C61—41no—
419C22×C4×C61—41no—
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—41no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61C2×D414yes—
444C2×C22⋊D61#4114yes—
445C22×Dic61—22no—
446C22×Dic61—22no—
447C22×Dic61—22no—
448C22×Dic61—22no—
449C22×Dic61—22no—
450C22×Dic61C2×D414yes—
451C22×Dic61C2411yescharacteristic
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463D4×D61—232no—
464C2×D244—22no—
465C2×D244—22no—
466C2×D244—22no—
467C2×D244—22no—
468C2×D244—22no—
469C2×D244—22no—
470C2×D244—22no—
471C2×D244—22no—
472C2×D244—22no—
473C2×D244—41no—
474C2×D244—41no—
475C2×D244#4114yes—
476C2×C4×D61—22no—
477C2×C4×D61—22no—
478C2×C4×D61—22no—
479C2×C4×D61—22no—
480C2×C4×D61—22no—
481C2×C4×D61—22no—
482C2×C4×D61—22no—
483C2×C4×D61—22no—
484C2×C4×D61—22no—
485C2×C4×D61—22no—
486C2×C4×D61—22no—
487C2×C4×D61—22no—
488C2×C4×D61—22no—
489C2×C4×D61—22no—
490C2×C4×D61—22no—
491C2×C4×D61—22no—
492C2×C4×D61—22no—
493C2×C4×D61—22no—
494C2×C4×D61—22no—
495C2×C4×D61—22no—
496C2×C4×D61—22no—
497C2×C4×D61—22no—
498C2×C4×D61—22no—
499C2×C4×D61—22no—
500C2×C4×D61—22no—
501C2×C4×D61—22no—
502C2×C4×D61—22no—
503C2×C4×D61—416no—
504C2×C4×D61—416no—
505C2×C4×D61—41no—
506C2×C4×D61—41no—
507C2×C4×D61—41no—
508C2×C4×D61—41no—
509C2×C4×D61—41no—
510C2×C4×D61—41no—
511C2×C4×D61C2×D414yes—
512C2×C4×D61#4114yes—
513C2×C4×D61#4114yes—
514C2×Dic122—22no—
515C2×Dic122—22no—
516C2×Dic122—22no—
517C4⋊C4×C61—22no—
518C4⋊C4×C61—22no—
519C4⋊C4×C61—22no—
520C4⋊C4×C61—22no—
521C4⋊C4×C61—22no—
522C4⋊C4×C61—22no—
523C4⋊C4×C61—22no—
524C4⋊C4×C61—41no—
525C4⋊C4×C61—41no—
526C22⋊C4×C61—22no—
527C22⋊C4×C61—22no—
528C22⋊C4×C61—22no—
529C22⋊C4×C61—22no—
530C22⋊C4×C61—22no—
531C22⋊C4×C61—22no—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—41no—
534C22⋊C4×C61—41no—
535C22⋊C4×C61C2×D414yes—
536C42×C61—22no—
537C42×C61—22no—
538C42×C61—22no—
539C22⋊Dic61—22no—
540C22⋊Dic61—22no—
541C22⋊Dic61—22no—
542C22⋊Dic61—22no—
543C22⋊Dic61—41no—
544C22⋊Dic61—41no—
545C22⋊Dic61—41no—
546C22⋊Dic61—41no—
547#11758198—22no—
548#11758198—22no—
549#11758198—22no—
550#11758198—22no—
551#11758198—22no—
552#11758198—22no—
553#11758198—22no—
554#11758198—22no—
555#11758198—22no—
556#11758198—22no—
557#11758198—22no—
558#11758198—22no—
559#11758198—22no—
560#11758198—22no—
561#11758198—22no—
562#11758198—22no—
563#11758198—22no—
564#11758198—22no—
565#11758198—22no—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—22no—
570#11758198—41no—
571#11758198—41no—
572#11758198—41no—
573#11758198—41no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578#11758198C2×D414yes—
579C4⋊Dic61—22no—
580C4⋊Dic61—22no—
581C4⋊Dic61—22no—
582C4⋊Dic61—41no—
583C4⋊Dic61—41no—
584#11758196—22no—
585#11758196—22no—
586#11758196—22no—
587#11758196—22no—
588#11758196—22no—
589#11758196—22no—
590#11758196—22no—
591#11758196—22no—
592#11758196—22no—
593#11758196—41no—
594#11758196—41no—
595#11758196—41no—
596#11758196—41no—
597#11758196C2×D414yes—
598C4×Dic61—22no—
599C4×Dic61—22no—
600C4×Dic61—22no—
601C4×Dic61—22no—
602C4×Dic61—22no—
603C4×Dic61—22no—
604C4×Dic61—22no—
605C4×Dic61—22no—
606C4×Dic61—22no—
607C4×Dic61—22no—
608C4×Dic61—22no—
609C4×Dic61—22no—
610C4×Dic61—41no—
611C4×Dic61C2×D414yes—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61C22×D412yes—
625C23×C61C2×#4112yes—
626C23×C61C2511yescharacteristic
627C22×D61—21no—
628C22×D61—21no—
629C22×D61—21no—
630C22×D61—21no—
631C22×D61—28no—
632C22×D61—28no—
633C22×D61—21no—
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—21no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—44no—
652C22×D61—44no—
653C22×D61—44no—
654C22×D61—44no—
655C22×D61—44no—
656C22×D61—44no—
657C22×D61—44no—
658C22×D61—44no—
659C22×D61—44no—
660C22×D61—44no—
661C22×D61—44no—
662C22×D61—44no—
663C22×D61C22×D412yes—
664C22×D61C2×#4112yes—
665C22×D61C2×#4112yes—
666C22×D61C2×#4112yes—
667C22×D61C2×#4112yes—
668C22×D61C2×#4112yes—
669D4×C61—28no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—44no—
705C2×C4×C61—44no—
706C2×C4×C61C22×D412yes—
707C2×C4×C61C22×D412yes—
708C2×C4×C61C2×#4112yes—
709C2×C4×C61C2×#4112yes—
710C2×C4×C61C2×#4112yes—
711C22⋊D61—28no—
712C22⋊D61—28no—
713C22⋊D61—44no—
714C22⋊D61—44no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—28no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—44no—
746C2×Dic61C22×D412yes—
747C2×Dic61C22×D412yes—
748C2×Dic61C22×D412yes—
749C2×Dic61C2×#4112yes—
750C2×Dic61C2×#4112yes—
751C2×Dic61C2×#4112yes—
752C2×Dic61H(5,𝔽2)12yes—
753D244—28no—
754D244—28no—
755D244—44no—
756D244—44no—
757C4×D61—28no—
758C4×D61—28no—
759C4×D61—28no—
760C4×D61—44no—
761C4×D61—44no—
762C4×D61—44no—
763C4×D61—44no—
764C4×D61—44no—
765C4×D61—44no—
766C4×D61—44no—
767C4×D61—44no—
768C4×D61—44no—
769Dic122—44no—
770#34700—611nomaximal, Sylow
771C22×C61—22no—
772C22×C61—22no—
773C22×C61—22no—
774C22×C61—22no—
775C22×C61—22no—
776C22×C61—22no—
777C22×C61—41no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61C23×D411yescharacteristic
786C22×C61C22×#4111yescharacteristic
787C22×C61C22×#4111yescharacteristic
788C22×C61C22×#4111yescharacteristic
789C22×C61C22×#4111yescharacteristic
790C22×C61C2×H(5,𝔽2)11yescharacteristic
791C22×C61#58511yescharacteristic
792C2×D61—22no—
793C2×D61—22no—
794C2×D61—22no—
795C2×D61—22no—
796C2×D61—22no—
797C2×D61—22no—
798C2×D61—22no—
799C2×D61—22no—
800C2×D61—22no—
801C2×D61—22no—
802C2×D61—22no—
803C2×D61—22no—
804C2×D61—22no—
805C2×D61—22no—
806C2×D61—22no—
807C2×D61—416no—
808C2×D61—416no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—41no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61#52914yescomplemented
822C4×C61—22no—
823C4×C61—22no—
824C4×C61—22no—
825C4×C61—22no—
826C4×C61—22no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835Dic61—22no—
836Dic61—41no—
837Dic61—41no—
838Dic61—41no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61—41no—
845Dic61#52514yes—
846Dic61#54614yes—
847C2×#529—611no—
848C22×C4×D4—611no—
849#2480—611no—
850#2480—611no—
851#2468—611no—
852#2468D6111yescharacteristic, complemented
853#2457—611no—
854#2457—611no—
855#2454—611no—
856#2447—611no—
857#2442—611no—
858#2435—611no—
859#2427—611no—
860#2420—611no—
861#2418—611no—
862#2418—611no—
863#2417—611no—
864#2408—611no—
865#2395—611no—
866#2395—611no—
867#2392—611no—
868#2392—611no—
869C4×#124—611no—
870C4×C22⋊Q8—611no—
871C4×#121—611no—
872C4×#120—611no—
873C4×#120—611no—
874#2293—611no—
875#2280—611no—
876#2280—611no—
877C42×D4—611no—
878C2×C61—42no—
879C2×C61—42no—
880C2×C61C2×#52511yescharacteristic
881C2×C61C2×#52911yescharacteristic
882C2×C61#346011yescharacteristic
883C2×C61C2×#54611yescharacteristic
884C2×C61D4×#4111yescharacteristic
885C2×C61#347511yescharacteristic
886C2×C61#348111yescharacteristic
887D61—24no—
888D61—42no—
889D61—42no—
890D61—42no—
891C23×D4—611no—
892C24×C4—611no—
893C24×C4—611no—
894#529—1228no—
895C2×#126—611no—
896C2×#126C2×D6111yescharacteristic, complemented
897C2×#125—611no—
898C2×#124—611no—
899C2×#124—611no—
900C2×#123—611no—
901C2×#123—611no—
902C2×C22⋊Q8—611no—
903C2×C22⋊Q8—611no—
904C2×#121—611no—
905C2×#121—611no—
906C2×#120—611no—
907C2×#120—611no—
908C2×C4×Q8—611no—
909C2×C4×D4—611no—
910C2×C4×D4—611no—
911C2×C4×D4—611no—
912C2×C4×D4—611no—
913C2×C4×D4—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—611no—
917C2×C4×D4—611no—
918C2×C4×D4—611no—
919C2×C4×D4—611no—
920C2×C4×D4—611no—
921C2×C4×D4—611no—
922C2×C4×D4—611no—
923C2×C4×D4—1228no—
924C2×C4×D4C2×D6111yescharacteristic
925C2×#117—611no—
926C2×#117—611no—
927C2×#117—611no—
928C2×#117—611no—
929C22×C4⋊C4—611no—
930C22×C22⋊C4—611no—
931C22×C22⋊C4—611no—
932C22×C42—611no—
933C22×C42—611no—
934#400—611no—
935#400—611no—
936#399—611no—
937#399—611no—
938#398—611no—
939#398—611no—
940#398C2×D6111yescharacteristic, complemented
941#398C2×D6111yescharacteristic, complemented
942#397—611no—
943#397—611no—
944#397—611no—
945#397—611no—
946#397—611no—
947#397—611no—
948#397—611no—
949#397—611no—
950#396—611no—
951#396—611no—
952#396—611no—
953#396—611no—
954#394—611no—
955#394—611no—
956#394—611no—
957#394—611no—
958#394—611no—
959#394—611no—
960#394—611no—
961#394—611no—
962#394C2×D6111yescharacteristic
963#394C2×D6111yescharacteristic
964#392—611no—
965#392—611no—
966#391—611no—
967#391—611no—
968#390—611no—
969#390—611no—
970#390—611no—
971#390—611no—
972#389—611no—
973#389—611no—
974#389—611no—
975#389—611no—
976#388—611no—
977#388—611no—
978#388—611no—
979#388—611no—
980#388—611no—
981#388—611no—
982#388—611no—
983#388C2×D6111yescharacteristic, complemented
984#388C2×D6111yescharacteristic, complemented
985#388C2×D6111yescharacteristic, complemented
986#387—611no—
987#387C2×D6111yescharacteristic, complemented
988#386—611no—
989#386—611no—
990#386—611no—
991#386—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#385—611no—
997#385—611no—
998#385—611no—
999#385—611no—
1000#385—611no—
1001#385—611no—
1002#385C2×D6111yescharacteristic, complemented
1003#385C2×D6111yescharacteristic, complemented
1004#382—611no—
1005#381—611no—
1006#381—611no—
1007#381—611no—
1008#381C2×D6111yescharacteristic, complemented
1009#380—611no—
1010#380—611no—
1011#380—611no—
1012#380—611no—
1013#380—611no—
1014#380—611no—
1015#380—611no—
1016#380—611no—
1017#380—611no—
1018#380C2×D6111yescharacteristic, complemented
1019#379—611no—
1020#379—611no—
1021#379—611no—
1022#379—611no—
1023#379—611no—
1024#379—611no—
1025C4×C4⋊C4—611no—
1026C4×C4⋊C4—611no—
1027C4×C4⋊C4—611no—
1028C4×C4⋊C4—611no—
1029C4×C4⋊C4—611no—
1030C4×C4⋊C4C2×D6111yescharacteristic, complemented
1031C4×C22⋊C4—611no—
1032C4×C22⋊C4—611no—
1033C4×C22⋊C4—611no—
1034C4×C22⋊C4—611no—
1035C4×C22⋊C4—611no—
1036C4×C22⋊C4—611no—
1037C4×C22⋊C4—611no—
1038C4×C22⋊C4—611no—
1039C4×C22⋊C4—611no—
1040C4×C22⋊C4—611no—
1041C4×C22⋊C4—611no—
1042C4×C22⋊C4—611no—
1043C4×C22⋊C4—611no—
1044C4×C22⋊C4—611no—
1045C4×C22⋊C4—611no—
1046C4×C22⋊C4—611no—
1047C43—611no—
1048C61#3470011yescharacteristic, complemented, Sylow
1049C25—611no—
1050C25—611no—
1051C22×Q8—611no—
1052C22×D4—611no—
1053C22×D4—611no—
1054C22×D4—611no—
1055C22×D4—611no—
1056C22×D4—611no—
1057C22×D4—611no—
1058C22×D4—611no—
1059C22×D4—611no—
1060C22×D4—1224no—
1061C22×D4—1224no—
1062C22×D4—1224no—
1063C22×D4C22×D6111yescharacteristic
1064C23×C4—611no—
1065C23×C4—611no—
1066C23×C4—611no—
1067C23×C4—611no—
1068C23×C4—611no—
1069C23×C4—611no—
1070C23×C4—611no—
1071C23×C4—611no—
1072C23×C4—611no—
1073C23×C4—611no—
1074C23×C4—611no—
1075C23×C4—611no—
1076C23×C4—611no—
1077C23×C4—611no—
1078C23×C4—1224no—
1079C23×C4—1224no—
1080C23×C4—1224no—
1081C23×C4—1224no—
1082C23×C4—2442no—
1083C23×C4—2442no—
1084C23×C4C22×D6111yescharacteristic
1085C23×C4C22×D6111yescharacteristic
1086#126—24no—
1087#126—1224no—
1088#125—1224no—
1089#124—1224no—
1090#124—1224no—
1091#123—1224no—
1092#123—1224no—
1093C22⋊Q8—1224no—
1094C22⋊Q8—1224no—
1095#121—1224no—
1096#121—1224no—
1097#120—1224no—
1098#120—1224no—
1099C4×Q8—1224no—
1100C4×D4—24no—
1101C4×D4—618no—
1102C4×D4—1224no—
1103C4×D4—1224no—
1104C4×D4—1224no—
1105C4×D4—1224no—
1106C4×D4—1224no—
1107C4×D4—1224no—
1108C4×D4—1224no—
1109C4×D4—1224no—
1110C4×D4—1224no—
1111C4×D4—1224no—
1112C4×D4—1224no—
1113C4×D4—2442no—
1114C4×D4—2442no—
1115#117—1224no—
1116#117—1224no—
1117#117—2442no—
1118#117—2442no—
1119C2×C4⋊C4—611no—
1120C2×C4⋊C4—611no—
1121C2×C4⋊C4—611no—
1122C2×C4⋊C4—611no—
1123C2×C4⋊C4—611no—
1124C2×C4⋊C4—611no—
1125C2×C4⋊C4—611no—
1126C2×C4⋊C4—611no—
1127C2×C4⋊C4—611no—
1128C2×C4⋊C4—611no—
1129C2×C4⋊C4—611no—
1130C2×C4⋊C4—611no—
1131C2×C4⋊C4—611no—
1132C2×C4⋊C4—611no—
1133C2×C4⋊C4—611no—
1134C2×C4⋊C4—611no—
1135C2×C4⋊C4—611no—
1136C2×C4⋊C4—611no—
1137C2×C4⋊C4—611no—
1138C2×C4⋊C4—1224no—
1139C2×C4⋊C4C22×D6111yescharacteristic
1140C2×C4⋊C4C22×D6111yescharacteristic
1141C2×C4⋊C4C22×D6111yescharacteristic
1142C2×C4⋊C4C22×D6111yescharacteristic
1143C2×C4⋊C4C22×D6111yescharacteristic
1144C2×C4⋊C4C22×D6111yescharacteristic
1145C2×C4⋊C4C22×D6111yescharacteristic
1146C2×C4⋊C4C22×D6111yescharacteristic
1147C2×C4⋊C4C22×D6111yescharacteristic
1148C2×C22⋊C4—611no—
1149C2×C22⋊C4—611no—
1150C2×C22⋊C4—611no—
1151C2×C22⋊C4—611no—
1152C2×C22⋊C4—611no—
1153C2×C22⋊C4—611no—
1154C2×C22⋊C4—611no—
1155C2×C22⋊C4—611no—
1156C2×C22⋊C4—611no—
1157C2×C22⋊C4—611no—
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—1224no—
1189C2×C22⋊C4—1224no—
1190C2×C22⋊C4C22×D6111yescharacteristic
1191C2×C22⋊C4C22×D6111yescharacteristic
1192C2×C22⋊C4C22×D6111yescharacteristic
1193C2×C22⋊C4C22×D6111yescharacteristic
1194C2×C22⋊C4C22×D6111yescharacteristic
1195C2×C22⋊C4C22×D6111yescharacteristic
1196C2×C22⋊C4C22×D6111yescharacteristic
1197C2×C22⋊C4C22×D6111yescharacteristic
1198C2×C22⋊C4C22×D6111yescharacteristic
1199C2×C22⋊C4C22×D6111yescharacteristic
1200C2×C42—611no—
1201C2×C42—611no—
1202C2×C42—611no—
1203C2×C42—611no—
1204C2×C42—611no—
1205C2×C42—611no—
1206C2×C42—611no—
1207C2×C42—611no—
1208C2×C42—611no—
1209C2×C42—611no—
1210C2×C42—611no—
1211C2×C42—611no—
1212C2×C42—611no—
1213C2×C42—611no—
1214C2×C42—1224no—
1215C2×C42—1224no—
1216C2×C42C22×D6111yescharacteristic
1217C2×C42C22×D6111yescharacteristic
1218C2×C42C22×D6111yescharacteristic
1219#95—611no—
1220#95—611no—
1221#95—611no—
1222#95—611no—
1223#95—611no—
1224#95—611no—
1225#95—611no—
1226#95—611no—
1227#95—611no—
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#95—611no—
1234#95—611no—
1235#95—611no—
1236#95—611no—
1237#95—611no—
1238#95—611no—
1239#95—611no—
1240#95—611no—
1241#95C22×D6111yescharacteristic
1242#95C22×D6111yescharacteristic
1243#95C22×D6111yescharacteristic
1244#95C22×D6111yescharacteristic
1245#95C22×D6111yescharacteristic
1246#95C22×D6111yescharacteristic
1247#95C22×D6111yescharacteristic
1248#95C22×D6111yescharacteristic
1249#95C22×D6111yescharacteristic
1250#95C22×D6111yescharacteristic
1251C24—611no—
1252C24—611no—
1253C24—611no—
1254C24—611no—
1255C24—1222no—
1256C24—1222no—
1257C24—1222no—
1258C24—1222no—
1259C24—1222no—
1260C24—1222no—
1261C24—1222no—
1262C24—1222no—
1263C24—1222no—
1264C24—1222no—
1265C24—2441no—
1266C24—2441no—
1267C24—2441no—
1268C24—2441no—
1269C24C23×D6111yescharacteristic
1270C24C23×D6111yescharacteristic
1271C2×Q8—1222no—
1272C2×Q8—1222no—
1273C2×Q8—1222no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—614no—
1278C2×D4—614no—
1279C2×D4—614no—
1280C2×D4—1222no—
1281C2×D4—1222no—
1282C2×D4—1222no—
1283C2×D4—1222no—
1284C2×D4—1222no—
1285C2×D4—1222no—
1286C2×D4—1222no—
1287C2×D4—1222no—
1288C2×D4—1222no—
1289C2×D4—1222no—
1290C2×D4—1222no—
1291C2×D4—1222no—
1292C2×D4—12232no—
1293C2×D4—1222no—
1294C2×D4—1222no—
1295C2×D4—1222no—
1296C2×D4—1222no—
1297C2×D4—1222no—
1298C2×D4—2441no—
1299C2×D4—2441no—
1300C2×D4—2441no—
1301C2×D4—2441no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—611no—
1309C22×C4—611no—
1310C22×C4—614no—
1311C22×C4—611no—
1312C22×C4—614no—
1313C22×C4—614no—
1314C22×C4—614no—
1315C22×C4—611no—
1316C22×C4—611no—
1317C22×C4—611no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—1222no—
1325C22×C4—1222no—
1326C22×C4—1222no—
1327C22×C4—1222no—
1328C22×C4—1222no—
1329C22×C4—1222no—
1330C22×C4—1222no—
1331C22×C4—1222no—
1332C22×C4—1222no—
1333C22×C4—1222no—
1334C22×C4—1222no—
1335C22×C4—1222no—
1336C22×C4—1222no—
1337C22×C4—1222no—
1338C22×C4—1222no—
1339C22×C4—1222no—
1340C22×C4—1222no—
1341C22×C4—1222no—
1342C22×C4—1222no—
1343C22×C4—1222no—
1344C22×C4—1222no—
1345C22×C4—1222no—
1346C22×C4—1222no—
1347C22×C4—1222no—
1348C22×C4—1222no—
1349C22×C4—1222no—
1350C22×C4—1222no—
1351C22×C4—1222no—
1352C22×C4—1222no—
1353C22×C4—1222no—
1354C22×C4—1222no—
1355C22×C4—1222no—
1356C22×C4—2441no—
1357C22×C4—2441no—
1358C22×C4—2441no—
1359C22×C4—2441no—
1360C22×C4—2441no—
1361C22×C4—2441no—
1362C22×C4—24416no—
1363C22×C4—24416no—
1364C22×C4C23×D6111yescharacteristic
1365C22×C4C23×D6111yescharacteristic
1366C22×C4C23×D6111yescharacteristic
1367C22×C4C23×D6111yescharacteristic
1368C22×C4C23×D6111yescharacteristic
1369C22×C4C23×D6111yescharacteristic
1370C22×C4C23×D6111yescharacteristic
1371C22×C4C23×D6111yescharacteristic
1372C22×C4C23×D6111yescharacteristic
1373C22×C4C23×D6111yescharacteristic
1374C22×C4C23×D6111yescharacteristic
1375C22×C4C23×D6111yescharacteristic
1376C22×C4C23×D6111yescharacteristic
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—614no—
1387C4⋊C4—1222no—
1388C4⋊C4—1222no—
1389C4⋊C4—1222no—
1390C4⋊C4—1222no—
1391C4⋊C4—1222no—
1392C4⋊C4—1222no—
1393C4⋊C4—1222no—
1394C4⋊C4—1222no—
1395C4⋊C4—1222no—
1396C4⋊C4—1222no—
1397C4⋊C4—1222no—
1398C4⋊C4—1222no—
1399C4⋊C4—2441no—
1400C4⋊C4—2441no—
1401C4⋊C4—2441no—
1402C4⋊C4—2441no—
1403C4⋊C4—2441no—
1404C4⋊C4—2441no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—614no—
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—1222no—
1426C22⋊C4—1222no—
1427C22⋊C4—1222no—
1428C22⋊C4—1222no—
1429C22⋊C4—1222no—
1430C22⋊C4—1222no—
1431C22⋊C4—1222no—
1432C22⋊C4—1222no—
1433C22⋊C4—1222no—
1434C22⋊C4—1222no—
1435C22⋊C4—1222no—
1436C22⋊C4—1222no—
1437C22⋊C4—1222no—
1438C22⋊C4—1222no—
1439C22⋊C4—1222no—
1440C22⋊C4—1222no—
1441C22⋊C4—1222no—
1442C22⋊C4—2441no—
1443C22⋊C4—2441no—
1444C22⋊C4—2441no—
1445C22⋊C4—2441no—
1446C22⋊C4—2441no—
1447C22⋊C4—2441no—
1448C22⋊C4—2441no—
1449C22⋊C4—2441no—
1450C22⋊C4—2441no—
1451C22⋊C4—2441no—
1452C22⋊C4—2441no—
1453C22⋊C4—2441no—
1454C22⋊C4D4×D6114yes—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—614no—
1459C42—1222no—
1460C42—1222no—
1461C42—1222no—
1462C42—1222no—
1463C42—1222no—
1464C42—1222no—
1465C42—1222no—
1466C42—1222no—
1467C42—1222no—
1468C42—1222no—
1469C42—1222no—
1470C42—1222no—
1471C42—2441no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—612no—
1485C23—612no—
1486C23—612no—
1487C23—612no—
1488C23—612no—
1489C23—612no—
1490C23—1228no—
1491C23—1228no—
1492C23—1221no—
1493C23—1221no—
1494C23—1221no—
1495C23—1221no—
1496C23—1221no—
1497C23—1221no—
1498C23—1221no—
1499C23—1221no—
1500C23—1221no—
1501C23—1221no—
1502C23—1221no—
1503C23—1221no—
1504C23—1221no—
1505C23—1221no—
1506C23—1221no—
1507C23—1221no—
1508C23—1221no—
1509C23—1221no—
1510C23—1221no—
1511C23—1221no—
1512C23—1221no—
1513C23—1221no—
1514C23—2444no—
1515C23—2444no—
1516C23—2444no—
1517C23—2444no—
1518C23—2444no—
1519C23—2444no—
1520C23—2444no—
1521C23—2444no—
1522C23—2444no—
1523C23—2444no—
1524C23—2444no—
1525C23—2444no—
1526C23C2×D4×D6112yes—
1527C23#41×D6112yes—
1528C23C24×D6111yescharacteristic
1529Q8—2444no—
1530D4—28no—
1531D4—1228no—
1532D4—1228no—
1533D4—1228no—
1534D4—1228no—
1535D4—2444no—
1536D4—2444no—
1537D4—2444no—
1538D4—2444no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—612no—
1576C2×C4—612no—
1577C2×C4—612no—
1578C2×C4—612no—
1579C2×C4—612no—
1580C2×C4—612no—
1581C2×C4—612no—
1582C2×C4—1228no—
1583C2×C4—1228no—
1584C2×C4—1228no—
1585C2×C4—1228no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—1221no—
1593C2×C4—1221no—
1594C2×C4—1221no—
1595C2×C4—1221no—
1596C2×C4—1221no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—1221no—
1611C2×C4—1221no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—2444no—
1616C2×C4—2444no—
1617C2×C4—2444no—
1618C2×C4—2444no—
1619C2×C4—2444no—
1620C2×C4—2444no—
1621C2×C4—2444no—
1622C2×C4—2444no—
1623C2×C4—2444no—
1624C2×C4—2444no—
1625C2×C4C2×D4×D6112yes—
1626C2×C4C2×D4×D6112yes—
1627C2×C4#41×D6112yes—
1628C2×C4#41×D6112yes—
1629C2×C4#41×D6112yes—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—614no—
1645C22—1222no—
1646C22—1222no—
1647C22—1222no—
1648C22—1222no—
1649C22—1222no—
1650C22—1222no—
1651C22—1222no—
1652C22—1222no—
1653C22—1222no—
1654C22—1222no—
1655C22—1222no—
1656C22—1222no—
1657C22—1222no—
1658C22—1222no—
1659C22—1222no—
1660C22—24416no—
1661C22—24416no—
1662C22—2441no—
1663C22—2441no—
1664C22—2441no—
1665C22—2441no—
1666C22—2441no—
1667C22—2441no—
1668C22—2441no—
1669C22—2441no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22—2441no—
1674C22C22×D4×D6111yescharacteristic
1675C22C2×#41×D6111yescharacteristic
1676C22C2×#41×D6111yescharacteristic
1677C22C2×#41×D6111yescharacteristic
1678C22C2×#41×D6111yescharacteristic
1679C22H(5,𝔽2)×D6111yescharacteristic
1680C22#1684059911yescharacteristic
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—22no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—614no—
1695C4—614no—
1696C4—1222no—
1697C4—2441no—
1698C4—2441no—
1699C4—2441no—
1700C4—2441no—
1701C4—2441no—
1702C4—2441no—
1703C4—2441no—
1704C4—2441no—
1705C4—2441no—
1706C2—42no—
1707C2—42no—
1708C2—1224no—
1709C2—2442no—
1710C2—2442no—
1711C2—2442no—
1712C2#525×D6111yescharacteristic
1713C2#529×D6111yescharacteristic
1714C2#2145923911yescharacteristic
1715C2#546×D6111yescharacteristic
1716C2#2145930611yescharacteristic
1717C2#2145937211yescharacteristic
1718C2#2145942611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2468C2
prime radical#21449170C2
hypercenter#2468D61
hypocenterC61#34700
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2468

Complements

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

NH ≅ G/Ntype
1. C2×#16840295C2semidirect
2. C2×C4×D4×D61C2semidirect
3. #21450069C2semidirect
4. #21450061C2semidirect
5. #21449885C2semidirect
6. #21449728C2semidirect
7. #21449720C2semidirect
8. #21449688C2semidirect
9. #21449603C2semidirect
10. #21449538C2semidirect
11. #21449465C2semidirect
12. #21449395C2semidirect
13. #21449310C2semidirect
14. #21449288C2semidirect
15. #21449286C2semidirect
16. #21449265C2semidirect
18. #21449083C2semidirect
19. #21449075C2semidirect
20. #21449062C2semidirect
21. #21449060C2semidirect
22. #21448360C2semidirect
23. #21448353C2semidirect
24. #21448331C2semidirect
25. #21448320C2semidirect
26. #21448320C2semidirect
27. #21448279C2semidirect
28. #21448201C2semidirect
29. #21448199C2semidirect
30. C4×#14519739C2semidirect
31. C61×#2468C2semidirect
36. C2×#14519771C22semidirect
37. C2×#14519767C22semidirect
40. C2×#14519762C22semidirect
41. C2×#14519759C22semidirect
43. C2×#14519755C22semidirect
48. C2×#14519742C22semidirect
55. C2×#14519739C22semidirect
56. C2×#14519739C22semidirect
61. C2×#14519737C22semidirect
62. C2×#14519737C22semidirect
64. C2×#14519735C22semidirect
65. C2×#14519735C22semidirect
66. C2×#14519733C22semidirect
67. C2×#14519733C22semidirect
72. C2×C42×D61C22semidirect
73. #16839704C22semidirect
74. #16839701C22semidirect
75. #16839699C22semidirect
76. #16839698C22semidirect
77. #16839696C22semidirect
78. #16839695C22semidirect
79. #16839690C22semidirect
80. #16839690C22semidirect
81. #16839690C22semidirect
82. #16839689C22semidirect
83. #16839689C22semidirect
84. #16839688C22semidirect
85. #16839688C22semidirect
86. #16839687C22semidirect
87. #16839685C22semidirect
88. #16839684C22semidirect
89. #16839684C22semidirect
90. #16839684C22semidirect
92. #16839680C22semidirect
95. #16839679C22semidirect
96. #16839678C22semidirect
97. #16839677C22semidirect
101. #16839666C22semidirect
102. #16839666C22semidirect
107. #16839659C22semidirect
108. #16839659C22semidirect
109. #16839657C22semidirect
110. #16839657C22semidirect
111. #16839656C22semidirect
112. #16839655C22semidirect
113. #16839653C22semidirect
114. #16839653C22semidirect
115. #16839653C22semidirect
116. #16839652C22semidirect
117. #16839651C22semidirect
118. #16839646C22semidirect
119. #16839641C22semidirect
120. #16839641C22semidirect
123. #16839640C22semidirect
124. #16839640C22semidirect
125. #16839640C22semidirect
126. #16839638C22semidirect
131. #16839633C22semidirect
132. #16839633C22semidirect
133. #16839626C22semidirect
134. #16839625C22semidirect
135. #16839624C22semidirect
136. #16839624C22semidirect
137. #16839622C22semidirect
141. #16839621C22semidirect
142. #16839621C22semidirect
143. #16839621C22semidirect
152. C4⋊C4×Dic61C22semidirect
153. C4⋊C4×Dic61C22semidirect
154. C4⋊C4×Dic61C22semidirect
155. #16839613C22semidirect
156. #16839613C22semidirect
157. C22⋊C4×Dic61C22semidirect
158. C22⋊C4×Dic61C22semidirect
159. C22⋊C4×Dic61C22semidirect
160. C22⋊C4×Dic61C22semidirect
162. C4×#11758198C22semidirect
167. #16839609C22semidirect
168. #16839609C22semidirect
169. #16839609C22semidirect
170. #16839609C22semidirect
171. #16839609C22semidirect
172. #16839609C22semidirect
173. C42×Dic61C22semidirect
174. C2×#126×C61C22semidirect
176. C61×#398C22semidirect
177. C61×#398C22semidirect
180. C61×#388C22semidirect
181. C61×#388C22semidirect
182. C61×#388C22semidirect
183. C61×#387C22semidirect
184. C61×#385C22semidirect
185. C61×#385C22semidirect
186. C61×#381C22semidirect
187. C61×#380C22semidirect
188. C4×C4⋊C4×C61C22semidirect
249. #14519737D4semidirect
821. C2×D61#529semidirect
852. #2468D61semidirect
896. C2×#126C2×D61semidirect
940. #398C2×D61semidirect
941. #398C2×D61semidirect
983. #388C2×D61semidirect
984. #388C2×D61semidirect
985. #388C2×D61semidirect
987. #387C2×D61semidirect
1002. #385C2×D61semidirect
1003. #385C2×D61semidirect
1008. #381C2×D61semidirect
1018. #380C2×D61semidirect
1030. C4×C4⋊C4C2×D61semidirect
1048. C61#34700semidirect

Maximal subgroups

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

subgroupindex
C2×#168402952
C2×C4×D4×D612
#214500692
#214500612
#214498852
#214497282
#214497202
#214496882
#214496032
#214495382
#214494652
#214493952
#214493102
#214492882
#214492862
#214492652
#214491702
#214490832
#214490752
#214490622
#214490602
#214483602
#214483532
#214483312
#214483202
#214482792
#214482012
#214481992
C4×#145197392
C61×#24682
#3470061