Finite Group Databasebeta

← D61×#2473 #29847599

Subgroups — D61×#2473 #29847599

Order 15616.

2942 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#125×D61C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D61C211yesmaximal, characteristic
3#21449967C211yesmaximal, characteristic, complemented
4#21449966C211yesmaximal, characteristic, complemented
5#21449965C211yesmaximal, characteristic, complemented
6#21449964C211yesmaximal, characteristic, complemented
7#21449963C211yesmaximal, characteristic, complemented
8#21449962C211yesmaximal, characteristic, complemented
9#21449961C211yesmaximal, characteristic, complemented
10#21449960C211yesmaximal, characteristic, complemented
11#21449959C211yesmaximal, characteristic, complemented
12#21449958C211yesmaximal, characteristic, complemented
13#21449957C211yesmaximal, characteristic, complemented
14#21449956C211yesmaximal, characteristic, complemented
15#21449955C211yesmaximal, characteristic, complemented
16#21449954C211yesmaximal, characteristic, complemented
17#21449953C211yesmaximal, characteristic, complemented
18#400×D61C211yesmaximal, characteristic, complemented
19#398×D61C211yesmaximal, characteristic, complemented
20#398×D61C211yesmaximal, characteristic, complemented
21#398×D61C211yesmaximal, characteristic, complemented
22#389×D61C211yesmaximal, characteristic, complemented
23#387×D61C211yesmaximal, characteristic, complemented
24#387×D61C211yesmaximal, characteristic, complemented
25#385×D61C211yesmaximal, characteristic
26#385×D61C211yesmaximal, characteristic
27#385×D61C211yesmaximal, characteristic
28#385×D61C211yesmaximal, characteristic
29#380×D61C211yesmaximal, characteristic
30C4×C22⋊C4×D61C211yesmaximal, characteristic
31C61×#2473C211yesmaximal, characteristic, complemented
32C23×C4×D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35C2×#14519769C2211yescharacteristic, complemented
36C2×#14519768C2211yescharacteristic, complemented
37C2×#14519768C2211yescharacteristic, complemented
38C2×#14519767C2211yescharacteristic, complemented
39C2×#14519767C2211yescharacteristic, complemented
40C2×#14519767C2211yescharacteristic, complemented
41C2×#14519767C2211yescharacteristic, complemented
42#125×D61—28no—
43C22×C4⋊Dic61C2211yescharacteristic
44C22×#11758196C2211yescharacteristic
45C22×#11758196C2211yescharacteristic
46C2×C4⋊C4×D61—28no—
47C2×C4⋊C4×D61C2211yescharacteristic
48C2×C4⋊C4×D61C2211yescharacteristic
49C2×C4⋊C4×D61C2211yescharacteristic
50C2×C4⋊C4×D61C2211yescharacteristic
51C2×C4⋊C4×D61C2211yescharacteristic
52C2×C4⋊C4×D61C2211yescharacteristic
53C2×C4⋊C4×D61C2211yescharacteristic
54C2×C4⋊C4×D61C2211yescharacteristic
55C2×C4⋊C4×D61C2211yescharacteristic
56C2×C4⋊C4×D61C2211yescharacteristic
57C2×C4⋊C4×D61C2211yescharacteristic
58C2×C4⋊C4×D61C2211yescharacteristic
59C2×C4⋊C4×D61C2211yescharacteristic
60C2×C4⋊C4×D61C2211yescharacteristic
61C2×C4⋊C4×D61C2211yescharacteristic
62C2×C4⋊C4×D61C2211yescharacteristic
63C2×C4⋊C4×D61C2211yescharacteristic
64C2×C4⋊C4×D61C2211yescharacteristic
65C2×C22⋊C4×D61C2211yescharacteristic
66C2×C22⋊C4×D61C2211yescharacteristic
67C2×C22⋊C4×D61C2211yescharacteristic
68C2×C22⋊C4×D61C2211yescharacteristic
69C2×C42×D61C2211yescharacteristic
70C2×C42×D61C2211yescharacteristic
71#16839704C2211yescharacteristic, complemented
72#16839704C2211yescharacteristic, complemented
73#16839703C2211yescharacteristic, complemented
74#16839703C2211yescharacteristic, complemented
75#16839702C2211yescharacteristic, complemented
76#16839701C2211yescharacteristic, complemented
77#16839700C2211yescharacteristic, complemented
78#16839696C2211yescharacteristic, complemented
79#16839696C2211yescharacteristic, complemented
80#16839696C2211yescharacteristic, complemented
81#16839696C2211yescharacteristic, complemented
82#16839696C2211yescharacteristic, complemented
83#16839696C2211yescharacteristic, complemented
84#16839695C2211yescharacteristic, complemented
85#16839695C2211yescharacteristic, complemented
86#16839695C2211yescharacteristic, complemented
87#16839695C2211yescharacteristic, complemented
88#16839695C2211yescharacteristic, complemented
89#16839695C2211yescharacteristic, complemented
90#16839694C2211yescharacteristic, complemented
91#16839694C2211yescharacteristic, complemented
92#16839694C2211yescharacteristic, complemented
93#16839693C2211yescharacteristic, complemented
94#16839693C2211yescharacteristic, complemented
95#16839693C2211yescharacteristic, complemented
96#16839692C2211yescharacteristic, complemented
97#16839692C2211yescharacteristic, complemented
98#16839692C2211yescharacteristic, complemented
99#16839661C2211yescharacteristic, complemented
100#16839660C2211yescharacteristic, complemented
101#16839659C2211yescharacteristic, complemented
102#16839659C2211yescharacteristic, complemented
103#16839658C2211yescharacteristic, complemented
104#16839657C2211yescharacteristic, complemented
105#16839657C2211yescharacteristic, complemented
106#16839649C2211yescharacteristic, complemented
107#16839649C2211yescharacteristic, complemented
108#16839648C2211yescharacteristic, complemented
109#16839648C2211yescharacteristic, complemented
110#16839647C2211yescharacteristic, complemented
111#16839647C2211yescharacteristic, complemented
112#16839646C2211yescharacteristic, complemented
113#16839646C2211yescharacteristic, complemented
114#16839645C2211yescharacteristic, complemented
115#16839645C2211yescharacteristic, complemented
116#16839644C2211yescharacteristic, complemented
117#16839644C2211yescharacteristic, complemented
118#16839643C2211yescharacteristic, complemented
119#16839643C2211yescharacteristic, complemented
120#16839637C2211yescharacteristic
121#16839637C2211yescharacteristic
122#16839637C2211yescharacteristic
123#16839637C2211yescharacteristic
124#16839636C2211yescharacteristic
125#16839636C2211yescharacteristic
126#16839636C2211yescharacteristic
127#16839636C2211yescharacteristic
128#16839636C2211yescharacteristic
129#16839636C2211yescharacteristic
130#16839636C2211yescharacteristic
131#16839636C2211yescharacteristic
132#16839635C2211yescharacteristic
133#16839635C2211yescharacteristic
134#16839635C2211yescharacteristic
135#16839635C2211yescharacteristic
136#16839634C2211yescharacteristic
137#16839634C2211yescharacteristic
138#16839634C2211yescharacteristic
139#16839634C2211yescharacteristic
140#16839633C2211yescharacteristic
141#16839633C2211yescharacteristic
142#16839633C2211yescharacteristic
143#16839633C2211yescharacteristic
144#16839633C2211yescharacteristic
145#16839633C2211yescharacteristic
146#16839633C2211yescharacteristic
147#16839633C2211yescharacteristic
148#16839622C2211yescharacteristic
149#16839621C2211yescharacteristic
150#16839621C2211yescharacteristic
151#16839620C2211yescharacteristic
152#16839620C2211yescharacteristic
153#16839619C2211yescharacteristic
154#16839619C2211yescharacteristic
155C22⋊C4×Dic61C2211yescharacteristic
156C22⋊C4×Dic61C2211yescharacteristic
157C4×#11758198C2211yescharacteristic
158C4×#11758198C2211yescharacteristic
159C4×C22⋊Dic61C2211yescharacteristic
160#16839609C2211yescharacteristic
161#16839609C2211yescharacteristic
162#95×D61C2211yescharacteristic
163#95×D61C2211yescharacteristic
164#95×D61C2211yescharacteristic
165#95×D61C2211yescharacteristic
166#95×D61C2211yescharacteristic
167#95×D61C2211yescharacteristic
168#95×D61C2211yescharacteristic
169#95×D61C2211yescharacteristic
170#95×D61C2211yescharacteristic
171#95×D61C2211yescharacteristic
172#95×D61C2211yescharacteristic
173#95×D61C2211yescharacteristic
174C2×#125×C61C2211yescharacteristic, complemented
175C22×C4⋊C4×C61C2211yescharacteristic
176C61×#400C2211yescharacteristic, complemented
177C61×#398C2211yescharacteristic, complemented
178C61×#398C2211yescharacteristic, complemented
179C61×#398C2211yescharacteristic, complemented
180C61×#389C2211yescharacteristic, complemented
181C61×#387C2211yescharacteristic, complemented
182C61×#387C2211yescharacteristic, complemented
183C61×#385C2211yescharacteristic
184C61×#385C2211yescharacteristic
185C61×#385C2211yescharacteristic
186C61×#385C2211yescharacteristic
187C61×#380C2211yescharacteristic
188C4×C22⋊C4×C61C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C23×Dic61C2311yescharacteristic
191C23×Dic61C2311yescharacteristic
192C23×Dic61C2311yescharacteristic
193C22×C4×D61—24no—
194C22×C4×D61—24no—
195C22×C4×D61—24no—
196C22×C4×D61—24no—
197C22×C4×D61—24no—
198C22×C4×D61—24no—
199C22×C4×D61—24no—
200C22×C4×D61—42no—
201C22×C4×D61—42no—
202C22×C4×D61C2311yescharacteristic
203C22×C4×D61C2311yescharacteristic
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
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
222#14519769—24no—
223#14519768—24no—
224#14519768—24no—
225#14519767—24no—
226#14519767—24no—
227#14519767—24no—
228#14519767—24no—
229C2×C4⋊Dic61—24no—
230C2×C4⋊Dic61C2311yescharacteristic
231C2×C4⋊Dic61C2311yescharacteristic
232C2×C4⋊Dic61C2311yescharacteristic
233C2×C4⋊Dic61C2311yescharacteristic
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×C4⋊Dic61C2311yescharacteristic
239C2×C4⋊Dic61C2311yescharacteristic
240C2×C4⋊Dic61C2311yescharacteristic
241C2×C4⋊Dic61C2311yescharacteristic
242C2×C4⋊Dic61C2311yescharacteristic
243C2×C4⋊Dic61C2311yescharacteristic
244C2×#11758196—24no—
245C2×#11758196—24no—
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×#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
273C2×#11758196C2311yescharacteristic
274C4⋊C4×D61—24no—
275C4⋊C4×D61—24no—
276C4⋊C4×D61—24no—
277C4⋊C4×D61—24no—
278C4⋊C4×D61—24no—
279C4⋊C4×D61—24no—
280C4⋊C4×D61—24no—
281C4⋊C4×D61—24no—
282C4⋊C4×D61—24no—
283C4⋊C4×D61—24no—
284C4⋊C4×D61—24no—
285C4⋊C4×D61—24no—
286C4⋊C4×D61—24no—
287C4⋊C4×D61—24no—
288C4⋊C4×D61—42no—
289C4⋊C4×D61—42no—
290C4⋊C4×D61—42no—
291C4⋊C4×D61D418yes—
292C2×C22⋊Dic61C2311yescharacteristic
293C2×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
295C2×C22⋊Dic61C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C22⋊C4×D61—24no—
305C22⋊C4×D61—24no—
306C22⋊C4×D61—24no—
307C22⋊C4×D61Q818yes—
308C2×C4×Dic61C2311yescharacteristic
309C2×C4×Dic61C2311yescharacteristic
310C2×C4×Dic61C2311yescharacteristic
311C2×C4×Dic61C2311yescharacteristic
312C2×C4×Dic61C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
314C42×D61—24no—
315C42×D61—42no—
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352C23×C4×C61C2311yescharacteristic
353C23×C4×C61C2311yescharacteristic
354C23×C4×C61C2311yescharacteristic
355#125×C61—24no—
356C2×C4⋊C4×C61—24no—
357C2×C4⋊C4×C61C2311yescharacteristic
358C2×C4⋊C4×C61C2311yescharacteristic
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×C4⋊C4×C61C2311yescharacteristic
369C2×C4⋊C4×C61C2311yescharacteristic
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C42×C61C2311yescharacteristic
376C2×C42×C61C2311yescharacteristic
377#95×C61C2311yescharacteristic
378#95×C61C2311yescharacteristic
379#95×C61C2311yescharacteristic
380#95×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
389C24×C61C2411yescharacteristic
390C23×D61—22no—
391C23×D61—22no—
392C23×D61—22no—
393C23×D61—22no—
394C23×D61C2×Q814yes—
395C23×D61#4114yes—
396C23×D61#4114yes—
397C23×D61C2411yescharacteristic
398C23×D61C2411yescharacteristic
399C22×C4×C61—22no—
400C22×C4×C61—22no—
401C22×C4×C61—22no—
402C22×C4×C61—22no—
403C22×C4×C61—22no—
404C22×C4×C61—22no—
405C22×C4×C61—22no—
406C22×C4×C61—41no—
407C22×C4×C61—41no—
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×Dic61—22no—
423C22×Dic61—22no—
424C22×Dic61—22no—
425C22×Dic61—22no—
426C22×Dic61—22no—
427C22×Dic61—22no—
428C22×Dic61—22no—
429C22×Dic61—41no—
430C22×Dic61—41no—
431C22×Dic61C2411yescharacteristic
432C22×Dic61C2411yescharacteristic
433C22×Dic61C2411yescharacteristic
434C22×Dic61C2411yescharacteristic
435C22×Dic61C2411yescharacteristic
436C22×Dic61C2411yescharacteristic
437C22×Dic61C2411yescharacteristic
438C22×Dic61C2411yescharacteristic
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C2×C4×D61—232no—
446C2×C4×D61—22no—
447C2×C4×D61—22no—
448C2×C4×D61—22no—
449C2×C4×D61—22no—
450C2×C4×D61—22no—
451C2×C4×D61—22no—
452C2×C4×D61—22no—
453C2×C4×D61—22no—
454C2×C4×D61—22no—
455C2×C4×D61—22no—
456C2×C4×D61—22no—
457C2×C4×D61—22no—
458C2×C4×D61—22no—
459C2×C4×D61—22no—
460C2×C4×D61—22no—
461C2×C4×D61—22no—
462C2×C4×D61—22no—
463C2×C4×D61—22no—
464C2×C4×D61—22no—
465C2×C4×D61—22no—
466C2×C4×D61—22no—
467C2×C4×D61—22no—
468C2×C4×D61—22no—
469C2×C4×D61—22no—
470C2×C4×D61—22no—
471C2×C4×D61—22no—
472C2×C4×D61—22no—
473C2×C4×D61—22no—
474C2×C4×D61—22no—
475C2×C4×D61—22no—
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—416no—
497C2×C4×D61—416no—
498C2×C4×D61—41no—
499C2×C4×D61—41no—
500C2×C4×D61—41no—
501C2×C4×D61—41no—
502C2×C4×D61C2×D414yes—
503C2×C4×D61C2×D414yes—
504C2×C4×D61C2×D414yes—
505C2×C4×D61C2×Q814yes—
506C2×C4×D61C2×Q814yes—
507C2×C4×D61#4114yes—
508C4⋊C4×C61—22no—
509C4⋊C4×C61—22no—
510C4⋊C4×C61—22no—
511C4⋊C4×C61—22no—
512C4⋊C4×C61—22no—
513C4⋊C4×C61—22no—
514C4⋊C4×C61—22no—
515C4⋊C4×C61—22no—
516C4⋊C4×C61—22no—
517C4⋊C4×C61—22no—
518C4⋊C4×C61—41no—
519C4⋊C4×C61—41no—
520C4⋊C4×C61—41no—
521C4⋊C4×C61C2×D414yes—
522C22⋊C4×C61—22no—
523C22⋊C4×C61—22no—
524C22⋊C4×C61—22no—
525C22⋊C4×C61C2×Q814yes—
526C42×C61—22no—
527C42×C61—41no—
528C22⋊Dic61—22no—
529C22⋊Dic61—22no—
530C22⋊Dic61—22no—
531C22⋊Dic61C2×Q814yes—
532#11758198—22no—
533#11758198—22no—
534#11758198—22no—
535#11758198—22no—
536#11758198—22no—
537#11758198—22no—
538#11758198C2×Q814yes—
539#11758198C2×Q814yes—
540C4⋊Dic61—22no—
541C4⋊Dic61—22no—
542C4⋊Dic61—22no—
543C4⋊Dic61—22no—
544C4⋊Dic61—22no—
545C4⋊Dic61—22no—
546C4⋊Dic61—22no—
547C4⋊Dic61—22no—
548C4⋊Dic61—22no—
549C4⋊Dic61—22no—
550C4⋊Dic61—41no—
551C4⋊Dic61—41no—
552C4⋊Dic61—41no—
553C4⋊Dic61C2×D414yes—
554#11758196—22no—
555#11758196—22no—
556#11758196—22no—
557#11758196—22no—
558#11758196—22no—
559#11758196—22no—
560#11758196—22no—
561#11758196—22no—
562#11758196—22no—
563#11758196—22no—
564#11758196—22no—
565#11758196—22no—
566#11758196—22no—
567#11758196—22no—
568#11758196—22no—
569#11758196—22no—
570#11758196—22no—
571#11758196—22no—
572#11758196—22no—
573#11758196—22no—
574#11758196—41no—
575#11758196—41no—
576#11758196—41no—
577#11758196—41no—
578#11758196—41no—
579#11758196—41no—
580#11758196C2×D414yes—
581#11758196C2×D414yes—
582C4×Dic61—22no—
583C4×Dic61—22no—
584C4×Dic61—22no—
585C4×Dic61—41no—
586C4×Dic61—41no—
587C4×Dic61—41no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61C22×Q812yes—
593C23×C61C2×#4112yes—
594C23×C61C2×#4112yes—
595C23×C61C2511yescharacteristic
596C22×D61—21no—
597C22×D61—21no—
598C22×D61—21no—
599C22×D61—21no—
600C22×D61—28no—
601C22×D61—28no—
602C22×D61—28no—
603C22×D61—28no—
604C22×D61—28no—
605C22×D61—28no—
606C22×D61#125116yescomplemented
607C22×D61C22×D412yes—
608C22×D61C22×Q812yes—
609C22×D61C22×Q812yes—
610C22×D61C2×#4112yes—
611C22×D61C2×#4112yes—
612C22×D61C2×#4112yes—
613C22×D61C2×#4112yes—
614C22×D61C2×#4112yes—
615C22×D61H(5,𝔽2)12yes—
616C22×D612−1+412yes—
617C2×C4×C61—28no—
618C2×C4×C61—21no—
619C2×C4×C61—21no—
620C2×C4×C61—21no—
621C2×C4×C61—21no—
622C2×C4×C61—21no—
623C2×C4×C61—21no—
624C2×C4×C61—21no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—44no—
655C2×C4×C61—44no—
656C2×C4×C61C22×D412yes—
657C2×C4×C61C22×D412yes—
658C2×C4×C61C22×D412yes—
659C2×C4×C61C22×Q812yes—
660C2×C4×C61C22×Q812yes—
661C2×C4×C61C2×#4112yes—
662C2×Dic61—28no—
663C2×Dic61—21no—
664C2×Dic61—21no—
665C2×Dic61—21no—
666C2×Dic61—21no—
667C2×Dic61—21no—
668C2×Dic61—21no—
669C2×Dic61—21no—
670C2×Dic61—21no—
671C2×Dic61—21no—
672C2×Dic61—21no—
673C2×Dic61—21no—
674C2×Dic61—21no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—44no—
700C2×Dic61—44no—
701C2×Dic61C22×D412yes—
702C2×Dic61C22×D412yes—
703C2×Dic61C22×D412yes—
704C2×Dic61C22×Q812yes—
705C2×Dic61C22×Q812yes—
706C2×Dic61C2×#4112yes—
707C4×D61—28no—
708C4×D61—28no—
709C4×D61—28no—
710C4×D61—28no—
711C4×D61—28no—
712C4×D61—28no—
713C4×D61—28no—
714C4×D61—28no—
715C4×D61—44no—
716C4×D61—44no—
717C4×D61—44no—
718C4×D61—44no—
719C4×D61—44no—
720C4×D61—44no—
721C4×D61—44no—
722C4×D61—44no—
723C4×D61—44no—
724C4×D61—44no—
725C4×D61—44no—
726C4×D61—44no—
727C2×#2473—611nomaximal, Sylow
728C22×C61—22no—
729C22×C61—22no—
730C22×C61—22no—
731C22×C61—22no—
732C22×C61—22no—
733C22×C61—22no—
734C22×C61C2×#12514yescomplemented
735C22×C61C23×D411yescharacteristic
736C22×C61C23×Q811yescharacteristic
737C22×C61C22×#4111yescharacteristic
738C22×C61C22×#4111yescharacteristic
739C22×C61C22×#4111yescharacteristic
740C22×C61C2×H(5,𝔽2)11yescharacteristic
741C22×C61C2×2−1+411yescharacteristic
742C2×D61—22no—
743C2×D61—22no—
744C2×D61—22no—
745C2×D61—22no—
746C2×D61—22no—
747C2×D61—22no—
748C2×D61—232no—
749C2×D61#52514yes—
750C2×D61C2×#12514yes—
751C2×D61C2×#12514yescomplemented
752C2×D61#53914yes—
753C2×D61#54614yes—
754C2×D61D4×Q814yes—
755C2×D61#55214yes—
756C2×D61#55414yes—
757C4×C61—22no—
758C4×C61—22no—
759C4×C61—22no—
760C4×C61—22no—
761C4×C61—22no—
762C4×C61—22no—
763C4×C61—41no—
764C4×C61—41no—
765C4×C61—41no—
766C4×C61—41no—
767C4×C61—41no—
768C4×C61—41no—
769C4×C61—41no—
770C4×C61—41no—
771Dic61—22no—
772Dic61—22no—
773Dic61—22no—
774Dic61—22no—
775Dic61—22no—
776Dic61—22no—
777Dic61—41no—
778Dic61—41no—
779Dic61—41no—
780Dic61—41no—
781Dic61—41no—
782Dic61—41no—
783Dic61—41no—
784Dic61—41no—
785C22×#125—611no—
786C23×C4⋊C4—611no—
787#2473—611no—
788#2473—611no—
789#2473—611no—
790#2473—611no—
791#2473—611no—
792#2473—611no—
793#2473—611no—
794#2473—611no—
795#2473—611no—
796#2473—611no—
797#2473—611no—
798#2473—611no—
799#2473—611no—
800#2473—611no—
801#2473—611no—
802#2473D6111yescharacteristic, direct product factor
803C2×#400—611no—
804C2×#398—611no—
805C2×#398—611no—
806C2×#398—611no—
807C2×#389—611no—
808C2×#387—611no—
809C2×#387—611no—
810C2×#385—611no—
811C2×#385—611no—
812C2×#385—611no—
813C2×#385—611no—
814C2×#380—611no—
815C2×C4×C22⋊C4—611no—
816C2×C61—24no—
817C2×C61C2×#52511yescharacteristic
818C2×C61C22×#12511yescharacteristic
819C2×C61C2×#53911yescharacteristic
820C2×C61C2×#54611yescharacteristic
821C2×C61C2×D4×Q811yescharacteristic
822C2×C61C2×#55211yescharacteristic
823C2×C61C2×#55411yescharacteristic
824D61—24no—
825D61#247318yesdirect product factor
826C24×C4—611no—
827C24×C4—611no—
828C24×C4—611no—
829C2×#125—611no—
830C2×#125—611no—
831C2×#125—611no—
832C2×#125—611no—
833C2×#125—611no—
834C2×#125—611no—
835C2×#125—611no—
836C2×#125—1228no—
837C2×#125C2×D6111yescharacteristic, complemented
838C22×C4⋊C4—611no—
839C22×C4⋊C4—611no—
840C22×C4⋊C4—611no—
841C22×C4⋊C4—611no—
842C22×C4⋊C4—611no—
843C22×C4⋊C4—611no—
844C22×C4⋊C4—611no—
845C22×C4⋊C4—611no—
846C22×C4⋊C4—611no—
847C22×C4⋊C4—611no—
848C22×C4⋊C4—611no—
849C22×C4⋊C4—611no—
850C22×C4⋊C4—611no—
851C22×C4⋊C4—611no—
852C22×C4⋊C4—611no—
853C22×C4⋊C4—611no—
854C22×C4⋊C4—611no—
855C22×C4⋊C4—611no—
856C22×C4⋊C4—611no—
857C22×C4⋊C4—611no—
858C22×C4⋊C4—611no—
859C22×C4⋊C4—1228no—
860C22×C4⋊C4C2×D6111yescharacteristic
861C22×C22⋊C4—611no—
862C22×C22⋊C4—611no—
863C22×C22⋊C4—611no—
864C22×C22⋊C4—611no—
865C22×C42—611no—
866C22×C42—611no—
867#400—611no—
868#400—611no—
869#400—611no—
870#400—611no—
871#400—611no—
872#400—611no—
873#400—611no—
874#400C2×D6111yescharacteristic, complemented
875#398—611no—
876#398—611no—
877#398—611no—
878#398—611no—
879#398—611no—
880#398—611no—
881#398—611no—
882#398—611no—
883#398—611no—
884#398—611no—
885#398—611no—
886#398—611no—
887#398—611no—
888#398—611no—
889#398—611no—
890#398—611no—
891#398—611no—
892#398—611no—
893#398—611no—
894#398—611no—
895#398—611no—
896#398C2×D6111yescharacteristic, complemented
897#398C2×D6111yescharacteristic, complemented
898#398C2×D6111yescharacteristic, complemented
899#389—611no—
900#389—611no—
901#389—611no—
902#389—611no—
903#389—611no—
904#389—611no—
905#389—611no—
906#389C2×D6111yescharacteristic, complemented
907#387—611no—
908#387—611no—
909#387—611no—
910#387—611no—
911#387—611no—
912#387—611no—
913#387—611no—
914#387—611no—
915#387—611no—
916#387—611no—
917#387—611no—
918#387—611no—
919#387—611no—
920#387—611no—
921#387C2×D6111yescharacteristic, complemented
922#387C2×D6111yescharacteristic, complemented
923#385—611no—
924#385—611no—
925#385—611no—
926#385—611no—
927#385—611no—
928#385—611no—
929#385—611no—
930#385—611no—
931#385—611no—
932#385—611no—
933#385—611no—
934#385—611no—
935#385—611no—
936#385—611no—
937#385—611no—
938#385—611no—
939#385—611no—
940#385—611no—
941#385—611no—
942#385—611no—
943#385—611no—
944#385—611no—
945#385—611no—
946#385—611no—
947#385—611no—
948#385—611no—
949#385—611no—
950#385—611no—
951#385C2×D6111yescharacteristic
952#385C2×D6111yescharacteristic
953#385C2×D6111yescharacteristic
954#385C2×D6111yescharacteristic
955#380—611no—
956#380—611no—
957#380—611no—
958#380—611no—
959#380—611no—
960#380—611no—
961#380—611no—
962#380C2×D6111yescharacteristic
963C4×C22⋊C4—611no—
964C4×C22⋊C4—611no—
965C4×C22⋊C4—611no—
966C4×C22⋊C4—611no—
967C4×C22⋊C4—611no—
968C4×C22⋊C4—611no—
969C4×C22⋊C4—611no—
970C4×C22⋊C4C2×D6111yescharacteristic
971C2×#95—611no—
972C2×#95—611no—
973C2×#95—611no—
974C2×#95—611no—
975C2×#95—611no—
976C2×#95—611no—
977C2×#95—611no—
978C2×#95—611no—
979C2×#95—611no—
980C2×#95—611no—
981C2×#95—611no—
982C2×#95—611no—
983C61C2×#247311yescharacteristic, complemented, Sylow
984C25—611no—
985C23×C4—611no—
986C23×C4—611no—
987C23×C4—611no—
988C23×C4—611no—
989C23×C4—611no—
990C23×C4—611no—
991C23×C4—611no—
992C23×C4—611no—
993C23×C4—611no—
994C23×C4—611no—
995C23×C4—611no—
996C23×C4—611no—
997C23×C4—611no—
998C23×C4—611no—
999C23×C4—611no—
1000C23×C4—611no—
1001C23×C4—611no—
1002C23×C4—611no—
1003C23×C4—611no—
1004C23×C4—611no—
1005C23×C4—611no—
1006C23×C4—611no—
1007C23×C4—611no—
1008C23×C4—1224no—
1009C23×C4—1224no—
1010C23×C4—1224no—
1011C23×C4—1224no—
1012C23×C4—1224no—
1013C23×C4—1224no—
1014C23×C4—1224no—
1015C23×C4—2442no—
1016C23×C4—2442no—
1017C23×C4C22×D6111yescharacteristic
1018C23×C4C22×D6111yescharacteristic
1019C23×C4C22×D6111yescharacteristic
1020#125—24no—
1021#125—1224no—
1022#125—1224no—
1023#125—1224no—
1024#125—1224no—
1025#125—1224no—
1026#125—1224no—
1027#125—1224no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—611no—
1030C2×C4⋊C4—611no—
1031C2×C4⋊C4—611no—
1032C2×C4⋊C4—618no—
1033C2×C4⋊C4—611no—
1034C2×C4⋊C4—611no—
1035C2×C4⋊C4—611no—
1036C2×C4⋊C4—611no—
1037C2×C4⋊C4—611no—
1038C2×C4⋊C4—611no—
1039C2×C4⋊C4—611no—
1040C2×C4⋊C4—611no—
1041C2×C4⋊C4—611no—
1042C2×C4⋊C4—611no—
1043C2×C4⋊C4—611no—
1044C2×C4⋊C4—611no—
1045C2×C4⋊C4—611no—
1046C2×C4⋊C4—611no—
1047C2×C4⋊C4—611no—
1048C2×C4⋊C4—611no—
1049C2×C4⋊C4—611no—
1050C2×C4⋊C4—611no—
1051C2×C4⋊C4—611no—
1052C2×C4⋊C4—611no—
1053C2×C4⋊C4—611no—
1054C2×C4⋊C4—611no—
1055C2×C4⋊C4—611no—
1056C2×C4⋊C4—611no—
1057C2×C4⋊C4—611no—
1058C2×C4⋊C4—611no—
1059C2×C4⋊C4—611no—
1060C2×C4⋊C4—611no—
1061C2×C4⋊C4—611no—
1062C2×C4⋊C4—611no—
1063C2×C4⋊C4—611no—
1064C2×C4⋊C4—611no—
1065C2×C4⋊C4—611no—
1066C2×C4⋊C4—611no—
1067C2×C4⋊C4—611no—
1068C2×C4⋊C4—611no—
1069C2×C4⋊C4—611no—
1070C2×C4⋊C4—611no—
1071C2×C4⋊C4—611no—
1072C2×C4⋊C4—1224no—
1073C2×C4⋊C4—1224no—
1074C2×C4⋊C4—1224no—
1075C2×C4⋊C4—1224no—
1076C2×C4⋊C4—1224no—
1077C2×C4⋊C4—1224no—
1078C2×C4⋊C4—1224no—
1079C2×C4⋊C4—1224no—
1080C2×C4⋊C4—1224no—
1081C2×C4⋊C4—1224no—
1082C2×C4⋊C4—1224no—
1083C2×C4⋊C4—1224no—
1084C2×C4⋊C4—1224no—
1085C2×C4⋊C4—1224no—
1086C2×C4⋊C4—1224no—
1087C2×C4⋊C4—1224no—
1088C2×C4⋊C4—1224no—
1089C2×C4⋊C4—2442no—
1090C2×C4⋊C4—2442no—
1091C2×C4⋊C4—2442no—
1092C2×C4⋊C4C22×D6111yescharacteristic
1093C2×C4⋊C4C22×D6111yescharacteristic
1094C2×C4⋊C4C22×D6111yescharacteristic
1095C2×C4⋊C4C22×D6111yescharacteristic
1096C2×C4⋊C4C22×D6111yescharacteristic
1097C2×C4⋊C4C22×D6111yescharacteristic
1098C2×C4⋊C4C22×D6111yescharacteristic
1099C2×C4⋊C4C22×D6111yescharacteristic
1100C2×C4⋊C4C22×D6111yescharacteristic
1101C2×C4⋊C4C22×D6111yescharacteristic
1102C2×C4⋊C4C22×D6111yescharacteristic
1103C2×C4⋊C4C22×D6111yescharacteristic
1104C2×C4⋊C4C22×D6111yescharacteristic
1105C2×C4⋊C4C22×D6111yescharacteristic
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—618no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—1224no—
1120C2×C22⋊C4—1224no—
1121C2×C22⋊C4—1224no—
1122C2×C22⋊C4C22×D6111yescharacteristic
1123C2×C22⋊C4C22×D6111yescharacteristic
1124C2×C22⋊C4C22×D6111yescharacteristic
1125C2×C22⋊C4C22×D6111yescharacteristic
1126C2×C42—611no—
1127C2×C42—611no—
1128C2×C42—611no—
1129C2×C42—611no—
1130C2×C42—611no—
1131C2×C42—611no—
1132C2×C42—1224no—
1133C2×C42—2442no—
1134C2×C42C22×D6111yescharacteristic
1135C2×C42C22×D6111yescharacteristic
1136#95—611no—
1137#95—611no—
1138#95—611no—
1139#95—611no—
1140#95—611no—
1141#95—611no—
1142#95—611no—
1143#95—611no—
1144#95—611no—
1145#95—611no—
1146#95—611no—
1147#95—611no—
1148#95—611no—
1149#95—611no—
1150#95—611no—
1151#95—611no—
1152#95—611no—
1153#95—611no—
1154#95—611no—
1155#95—611no—
1156#95—611no—
1157#95—611no—
1158#95—611no—
1159#95—611no—
1160#95—611no—
1161#95—611no—
1162#95—611no—
1163#95—611no—
1164#95—611no—
1165#95—611no—
1166#95—611no—
1167#95—611no—
1168#95—611no—
1169#95—611no—
1170#95—611no—
1171#95—611no—
1172#95C22×D6111yescharacteristic
1173#95C22×D6111yescharacteristic
1174#95C22×D6111yescharacteristic
1175#95C22×D6111yescharacteristic
1176#95C22×D6111yescharacteristic
1177#95C22×D6111yescharacteristic
1178#95C22×D6111yescharacteristic
1179#95C22×D6111yescharacteristic
1180#95C22×D6111yescharacteristic
1181#95C22×D6111yescharacteristic
1182#95C22×D6111yescharacteristic
1183#95C22×D6111yescharacteristic
1184C24—611no—
1185C24—614no—
1186C24—614no—
1187C24—614no—
1188C24—611no—
1189C24—1222no—
1190C24—1222no—
1191C24—1222no—
1192C24—1222no—
1193C24C23×D6111yescharacteristic
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—611no—
1204C22×C4—611no—
1205C22×C4—611no—
1206C22×C4—611no—
1207C22×C4—611no—
1208C22×C4—611no—
1209C22×C4—614no—
1210C22×C4—614no—
1211C22×C4—614no—
1212C22×C4—614no—
1213C22×C4—614no—
1214C22×C4—614no—
1215C22×C4—611no—
1216C22×C4—611no—
1217C22×C4—611no—
1218C22×C4—611no—
1219C22×C4—611no—
1220C22×C4—611no—
1221C22×C4—611no—
1222C22×C4—611no—
1223C22×C4—1222no—
1224C22×C4—1222no—
1225C22×C4—1222no—
1226C22×C4—1222no—
1227C22×C4—1222no—
1228C22×C4—1222no—
1229C22×C4—1222no—
1230C22×C4—1222no—
1231C22×C4—1222no—
1232C22×C4—1222no—
1233C22×C4—1222no—
1234C22×C4—1222no—
1235C22×C4—1222no—
1236C22×C4—1222no—
1237C22×C4—1222no—
1238C22×C4—1222no—
1239C22×C4—1222no—
1240C22×C4—1222no—
1241C22×C4—12232no—
1242C22×C4—1222no—
1243C22×C4—1222no—
1244C22×C4—1222no—
1245C22×C4—1222no—
1246C22×C4—1222no—
1247C22×C4—1222no—
1248C22×C4—1222no—
1249C22×C4—1222no—
1250C22×C4—1222no—
1251C22×C4—1222no—
1252C22×C4—1222no—
1253C22×C4—1222no—
1254C22×C4—1222no—
1255C22×C4—1222no—
1256C22×C4—1222no—
1257C22×C4—1222no—
1258C22×C4—1222no—
1259C22×C4—1222no—
1260C22×C4—1222no—
1261C22×C4—1222no—
1262C22×C4—1222no—
1263C22×C4—1222no—
1264C22×C4—1222no—
1265C22×C4—1222no—
1266C22×C4—1222no—
1267C22×C4—1222no—
1268C22×C4—1222no—
1269C22×C4—1222no—
1270C22×C4—1222no—
1271C22×C4—1222no—
1272C22×C4—1222no—
1273C22×C4—1222no—
1274C22×C4—1222no—
1275C22×C4—1222no—
1276C22×C4—1222no—
1277C22×C4—1222no—
1278C22×C4—1222no—
1279C22×C4—1222no—
1280C22×C4—1222no—
1281C22×C4—2441no—
1282C22×C4—2441no—
1283C22×C4—2441no—
1284C22×C4—2441no—
1285C22×C4—24416no—
1286C22×C4—24416no—
1287C22×C4—2441no—
1288C22×C4—2441no—
1289C22×C4C23×D6111yescharacteristic
1290C22×C4C23×D6111yescharacteristic
1291C22×C4C23×D6111yescharacteristic
1292C22×C4C23×D6111yescharacteristic
1293C22×C4C23×D6111yescharacteristic
1294C22×C4C23×D6111yescharacteristic
1295C22×C4C23×D6111yescharacteristic
1296C22×C4C23×D6111yescharacteristic
1297C22×C4C23×D6111yescharacteristic
1298C22×C4C23×D6111yescharacteristic
1299C22×C4C23×D6111yescharacteristic
1300C22×C4C23×D6111yescharacteristic
1301C22×C4C23×D6111yescharacteristic
1302C22×C4C23×D6111yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—614no—
1317C4⋊C4—614no—
1318C4⋊C4—614no—
1319C4⋊C4—1222no—
1320C4⋊C4—1222no—
1321C4⋊C4—1222no—
1322C4⋊C4—1222no—
1323C4⋊C4—1222no—
1324C4⋊C4—1222no—
1325C4⋊C4—1222no—
1326C4⋊C4—1222no—
1327C4⋊C4—1222no—
1328C4⋊C4—1222no—
1329C4⋊C4—1222no—
1330C4⋊C4—1222no—
1331C4⋊C4—1222no—
1332C4⋊C4—1222no—
1333C4⋊C4—1222no—
1334C4⋊C4—1222no—
1335C4⋊C4—1222no—
1336C4⋊C4—1222no—
1337C4⋊C4—1222no—
1338C4⋊C4—1222no—
1339C4⋊C4—1222no—
1340C4⋊C4—1222no—
1341C4⋊C4—1222no—
1342C4⋊C4—1222no—
1343C4⋊C4—1222no—
1344C4⋊C4—1222no—
1345C4⋊C4—1222no—
1346C4⋊C4—1222no—
1347C4⋊C4—1222no—
1348C4⋊C4—1222no—
1349C4⋊C4—2441no—
1350C4⋊C4—2441no—
1351C4⋊C4—2441no—
1352C4⋊C4—2441no—
1353C4⋊C4—2441no—
1354C4⋊C4—2441no—
1355C4⋊C4—2441no—
1356C4⋊C4—2441no—
1357C4⋊C4—2441no—
1358C4⋊C4D4×D6114yes—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—614no—
1363C22⋊C4—614no—
1364C22⋊C4—614no—
1365C22⋊C4—1222no—
1366C22⋊C4—1222no—
1367C22⋊C4—1222no—
1368C22⋊C4—1222no—
1369C22⋊C4—1222no—
1370C22⋊C4—1222no—
1371C22⋊C4—1222no—
1372C22⋊C4—1222no—
1373C22⋊C4—1222no—
1374C22⋊C4Q8×D6114yes—
1375C42—22no—
1376C42—41no—
1377C42—1222no—
1378C42—1222no—
1379C42—1222no—
1380C42—2441no—
1381C42—2441no—
1382C42—2441no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—612no—
1388C23—612no—
1389C23—612no—
1390C23—612no—
1391C23—612no—
1392C23—612no—
1393C23—612no—
1394C23—6116no—
1395C23—612no—
1396C23—612no—
1397C23—612no—
1398C23—1228no—
1399C23—1228no—
1400C23—1228no—
1401C23—1228no—
1402C23—1228no—
1403C23—1228no—
1404C23—1221no—
1405C23—1221no—
1406C23—1221no—
1407C23—1221no—
1408C23C2×Q8×D6112yes—
1409C23#41×D6112yes—
1410C23#41×D6112yes—
1411C23C24×D6111yescharacteristic
1412C2×C4—28no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—612no—
1452C2×C4—612no—
1453C2×C4—612no—
1454C2×C4—612no—
1455C2×C4—612no—
1456C2×C4—612no—
1457C2×C4—1228no—
1458C2×C4—1228no—
1459C2×C4—1228no—
1460C2×C4—1228no—
1461C2×C4—1228no—
1462C2×C4—1228no—
1463C2×C4—1228no—
1464C2×C4—1228no—
1465C2×C4—1228no—
1466C2×C4—1221no—
1467C2×C4—1221no—
1468C2×C4—1221no—
1469C2×C4—1221no—
1470C2×C4—1221no—
1471C2×C4—1221no—
1472C2×C4—1221no—
1473C2×C4—1221no—
1474C2×C4—1221no—
1475C2×C4—1221no—
1476C2×C4—1221no—
1477C2×C4—1221no—
1478C2×C4—1221no—
1479C2×C4—1221no—
1480C2×C4—1221no—
1481C2×C4—1221no—
1482C2×C4—1221no—
1483C2×C4—1221no—
1484C2×C4—1221no—
1485C2×C4—1221no—
1486C2×C4—1221no—
1487C2×C4—1221no—
1488C2×C4—1221no—
1489C2×C4—1221no—
1490C2×C4—1221no—
1491C2×C4—1221no—
1492C2×C4—1221no—
1493C2×C4—1221no—
1494C2×C4—1221no—
1495C2×C4—1221no—
1496C2×C4—1221no—
1497C2×C4—1221no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—2444no—
1503C2×C4—2444no—
1504C2×C4—2444no—
1505C2×C4—2444no—
1506C2×C4—2444no—
1507C2×C4—2444no—
1508C2×C4—2444no—
1509C2×C4—2444no—
1510C2×C4—2444no—
1511C2×C4—2444no—
1512C2×C4—2444no—
1513C2×C4—2444no—
1514C2×C4—2444no—
1515C2×C4—2444no—
1516C2×C4C2×D4×D6112yes—
1517C2×C4C2×D4×D6112yes—
1518C2×C4C2×D4×D6112yes—
1519C2×C4C2×Q8×D6112yes—
1520C2×C4C2×Q8×D6112yes—
1521C2×C4#41×D6112yes—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—614no—
1529C22—614no—
1530C22—614no—
1531C22—614no—
1532C22—614no—
1533C22—614no—
1534C22—614no—
1535C22—614no—
1536C22—12232no—
1537C22—1222no—
1538C22—1222no—
1539C22—1222no—
1540C22—1222no—
1541C22—1222no—
1542C22—1222no—
1543C22#125×D6114yescomplemented
1544C22C22×D4×D6111yescharacteristic
1545C22C22×Q8×D6111yescharacteristic
1546C22C2×#41×D6111yescharacteristic
1547C22C2×#41×D6111yescharacteristic
1548C22C2×#41×D6111yescharacteristic
1549C22H(5,𝔽2)×D6111yescharacteristic
1550C222−1+4×D6111yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—22no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—1222no—
1566C4—1222no—
1567C4—1222no—
1568C4—1222no—
1569C4—1222no—
1570C4—1222no—
1571C4—2441no—
1572C4—2441no—
1573C4—2441no—
1574C4—2441no—
1575C4—2441no—
1576C4—2441no—
1577C4—2441no—
1578C4—2441no—
1579C2—24no—
1580C2—618no—
1581C2—1224no—
1582C2#525×D6111yescharacteristic
1583C2C2×#125×D6111yescharacteristic
1584C2#539×D6111yescharacteristic
1585C2#546×D6111yescharacteristic
1586C2D4×Q8×D6111yescharacteristic
1587C2#552×D6111yescharacteristic
1588C2#554×D6111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2473C2
prime radicalC24×D61C23
hypercenter#2473D61
hypocenterC61C2×#2473
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×#125×D61C2semidirect
3. #21449967C2semidirect
4. #21449966C2semidirect
5. #21449965C2semidirect
6. #21449964C2semidirect
7. #21449963C2semidirect
8. #21449962C2semidirect
9. #21449961C2semidirect
10. #21449960C2semidirect
11. #21449959C2semidirect
12. #21449958C2semidirect
13. #21449957C2semidirect
14. #21449956C2semidirect
15. #21449955C2semidirect
16. #21449954C2semidirect
17. #21449953C2semidirect
18. #400×D61C2semidirect
19. #398×D61C2semidirect
20. #398×D61C2semidirect
21. #398×D61C2semidirect
22. #389×D61C2semidirect
23. #387×D61C2semidirect
24. #387×D61C2semidirect
31. C61×#2473C2semidirect
35. C2×#14519769C22semidirect
36. C2×#14519768C22semidirect
37. C2×#14519768C22semidirect
38. C2×#14519767C22semidirect
39. C2×#14519767C22semidirect
40. C2×#14519767C22semidirect
41. C2×#14519767C22semidirect
71. #16839704C22semidirect
72. #16839704C22semidirect
73. #16839703C22semidirect
74. #16839703C22semidirect
75. #16839702C22semidirect
76. #16839701C22semidirect
77. #16839700C22semidirect
78. #16839696C22semidirect
79. #16839696C22semidirect
80. #16839696C22semidirect
81. #16839696C22semidirect
82. #16839696C22semidirect
83. #16839696C22semidirect
84. #16839695C22semidirect
85. #16839695C22semidirect
86. #16839695C22semidirect
87. #16839695C22semidirect
88. #16839695C22semidirect
89. #16839695C22semidirect
90. #16839694C22semidirect
91. #16839694C22semidirect
92. #16839694C22semidirect
93. #16839693C22semidirect
94. #16839693C22semidirect
95. #16839693C22semidirect
96. #16839692C22semidirect
97. #16839692C22semidirect
98. #16839692C22semidirect
99. #16839661C22semidirect
100. #16839660C22semidirect
101. #16839659C22semidirect
102. #16839659C22semidirect
103. #16839658C22semidirect
104. #16839657C22semidirect
105. #16839657C22semidirect
106. #16839649C22semidirect
107. #16839649C22semidirect
108. #16839648C22semidirect
109. #16839648C22semidirect
110. #16839647C22semidirect
111. #16839647C22semidirect
112. #16839646C22semidirect
113. #16839646C22semidirect
114. #16839645C22semidirect
115. #16839645C22semidirect
116. #16839644C22semidirect
117. #16839644C22semidirect
118. #16839643C22semidirect
119. #16839643C22semidirect
174. C2×#125×C61C22semidirect
176. C61×#400C22semidirect
177. C61×#398C22semidirect
178. C61×#398C22semidirect
179. C61×#398C22semidirect
180. C61×#389C22semidirect
181. C61×#387C22semidirect
182. C61×#387C22semidirect
606. C22×D61#125semidirect
734. C22×C61C2×#125semidirect
751. C2×D61C2×#125semidirect
802. #2473D61direct (N × H)
825. D61#2473direct (N × H)
837. C2×#125C2×D61semidirect
874. #400C2×D61semidirect
896. #398C2×D61semidirect
897. #398C2×D61semidirect
898. #398C2×D61semidirect
906. #389C2×D61semidirect
921. #387C2×D61semidirect
922. #387C2×D61semidirect
983. C61C2×#2473semidirect
1543. C22#125×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#125×D612
C22×C4⋊C4×D612
#214499672
#214499662
#214499652
#214499642
#214499632
#214499622
#214499612
#214499602
#214499592
#214499582
#214499572
#214499562
#214499552
#214499542
#214499532
#400×D612
#398×D612
#389×D612
#387×D612
#385×D612
#380×D612
C4×C22⋊C4×D612
C61×#24732
C2×#247361