Finite Group Databasebeta

← D61×#2648 #29846468

Subgroups — D61×#2648 #29846468

Order 15616.

2654 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21451814C211yesmaximal, characteristic, complemented
2#21451813C211yesmaximal, characteristic, complemented
3#21451812C211yesmaximal, characteristic, complemented
4#21451811C211yesmaximal, characteristic, complemented
5#21451810C211yesmaximal, characteristic, complemented
6#21451809C211yesmaximal, characteristic, complemented
7#21451808C211yesmaximal, characteristic, complemented
8#21451807C211yesmaximal, characteristic, complemented
9#21451806C211yesmaximal, characteristic, complemented
10#21451805C211yesmaximal, characteristic, complemented
11#21451804C211yesmaximal, characteristic, complemented
12#21451803C211yesmaximal, characteristic, complemented
13#21451802C211yesmaximal, characteristic, complemented
14#21451801C211yesmaximal, characteristic, complemented
15#21451800C211yesmaximal, characteristic, complemented
16#400×D61C211yesmaximal, characteristic, complemented
17#397×D61C211yesmaximal, characteristic, complemented
18#397×D61C211yesmaximal, characteristic, complemented
19#396×D61C211yesmaximal, characteristic, complemented
20#394×D61C211yesmaximal, characteristic, complemented
21#394×D61C211yesmaximal, characteristic, complemented
22#394×D61C211yesmaximal, characteristic, complemented
23#392×D61C211yesmaximal, characteristic
24#390×D61C211yesmaximal, characteristic, complemented
25#388×D61C211yesmaximal, characteristic, complemented
26#388×D61C211yesmaximal, characteristic, complemented
27#387×D61C211yesmaximal, characteristic, complemented
28#386×D61C211yesmaximal, characteristic, complemented
29#386×D61C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D61C211yesmaximal, characteristic, complemented
31C61×#2648C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C23×C4×D61C2211yescharacteristic
36C2×C4⋊C4×D61C2211yescharacteristic
37C2×C4⋊C4×D61C2211yescharacteristic
38C2×C4⋊C4×D61C2211yescharacteristic
39C2×C4⋊C4×D61C2211yescharacteristic
40C2×C4⋊C4×D61C2211yescharacteristic
41C2×C22⋊C4×D61C2211yescharacteristic
42C2×C22⋊C4×D61C2211yescharacteristic
43C2×C22⋊C4×D61C2211yescharacteristic
44C2×C22⋊C4×D61C2211yescharacteristic
45C2×C22⋊C4×D61C2211yescharacteristic
46C2×C22⋊C4×D61C2211yescharacteristic
47C2×C22⋊C4×D61C2211yescharacteristic
48C2×C22⋊C4×D61C2211yescharacteristic
49C2×C22⋊C4×D61C2211yescharacteristic
50C2×C22⋊C4×D61C2211yescharacteristic
51C2×C22⋊C4×D61C2211yescharacteristic
52C2×C22⋊C4×D61C2211yescharacteristic
53C2×C22⋊C4×D61C2211yescharacteristic
54C2×C22⋊C4×D61C2211yescharacteristic
55C2×C42×D61C2211yescharacteristic
56C2×C42×D61C2211yescharacteristic
57#16839704C2211yescharacteristic, complemented
58#16839704C2211yescharacteristic, complemented
59#16839703C2211yescharacteristic, complemented
60#16839703C2211yescharacteristic, complemented
61#16839702C2211yescharacteristic, complemented
62#16839701C2211yescharacteristic, complemented
63#16839700C2211yescharacteristic, complemented
64#16839691C2211yescharacteristic, complemented
65#16839691C2211yescharacteristic, complemented
66#16839691C2211yescharacteristic, complemented
67#16839691C2211yescharacteristic, complemented
68#16839690C2211yescharacteristic, complemented
69#16839690C2211yescharacteristic, complemented
70#16839690C2211yescharacteristic, complemented
71#16839690C2211yescharacteristic, complemented
72#16839689C2211yescharacteristic, complemented
73#16839689C2211yescharacteristic, complemented
74#16839688C2211yescharacteristic, complemented
75#16839688C2211yescharacteristic, complemented
76#16839687C2211yescharacteristic, complemented
77#16839687C2211yescharacteristic, complemented
78#16839686C2211yescharacteristic, complemented
79#16839685C2211yescharacteristic, complemented
80#16839685C2211yescharacteristic, complemented
81#16839685C2211yescharacteristic, complemented
82#16839684C2211yescharacteristic, complemented
83#16839684C2211yescharacteristic, complemented
84#16839684C2211yescharacteristic, complemented
85#16839680C2211yescharacteristic, complemented
86#16839680C2211yescharacteristic, complemented
87#16839680C2211yescharacteristic, complemented
88#16839679C2211yescharacteristic, complemented
89#16839679C2211yescharacteristic, complemented
90#16839679C2211yescharacteristic, complemented
91#16839678C2211yescharacteristic, complemented
92#16839678C2211yescharacteristic, complemented
93#16839678C2211yescharacteristic, complemented
94#16839678C2211yescharacteristic, complemented
95#16839678C2211yescharacteristic, complemented
96#16839678C2211yescharacteristic, complemented
97#16839677C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic, complemented
99#16839677C2211yescharacteristic, complemented
100#16839677C2211yescharacteristic, complemented
101#16839677C2211yescharacteristic, complemented
102#16839677C2211yescharacteristic, complemented
103#16839676C2211yescharacteristic, complemented
104#16839676C2211yescharacteristic, complemented
105#16839676C2211yescharacteristic, complemented
106#16839672C2211yescharacteristic
107#16839671C2211yescharacteristic
108#16839671C2211yescharacteristic
109#16839671C2211yescharacteristic
110#16839670C2211yescharacteristic
111#16839670C2211yescharacteristic
112#16839670C2211yescharacteristic
113#16839665C2211yescharacteristic, complemented
114#16839664C2211yescharacteristic, complemented
115#16839663C2211yescharacteristic, complemented
116#16839662C2211yescharacteristic, complemented
117#16839662C2211yescharacteristic, complemented
118#16839662C2211yescharacteristic, complemented
119#16839662C2211yescharacteristic, complemented
120#16839656C2211yescharacteristic, complemented
121#16839656C2211yescharacteristic, complemented
122#16839655C2211yescharacteristic, complemented
123#16839655C2211yescharacteristic, complemented
124#16839654C2211yescharacteristic, complemented
125#16839654C2211yescharacteristic, complemented
126#16839653C2211yescharacteristic, complemented
127#16839653C2211yescharacteristic, complemented
128#16839652C2211yescharacteristic, complemented
129#16839652C2211yescharacteristic, complemented
130#16839651C2211yescharacteristic, complemented
131#16839651C2211yescharacteristic, complemented
132#16839650C2211yescharacteristic, complemented
133#16839650C2211yescharacteristic, complemented
134#16839649C2211yescharacteristic, complemented
135#16839648C2211yescharacteristic, complemented
136#16839647C2211yescharacteristic, complemented
137#16839646C2211yescharacteristic, complemented
138#16839645C2211yescharacteristic, complemented
139#16839644C2211yescharacteristic, complemented
140#16839643C2211yescharacteristic, complemented
141#16839642C2211yescharacteristic, complemented
142#16839642C2211yescharacteristic, complemented
143#16839641C2211yescharacteristic, complemented
144#16839641C2211yescharacteristic, complemented
145#16839640C2211yescharacteristic, complemented
146#16839640C2211yescharacteristic, complemented
147#16839640C2211yescharacteristic, complemented
148#16839640C2211yescharacteristic, complemented
149#16839639C2211yescharacteristic, complemented
150#16839639C2211yescharacteristic, complemented
151#16839638C2211yescharacteristic, complemented
152#16839638C2211yescharacteristic, complemented
153#16839638C2211yescharacteristic, complemented
154#16839638C2211yescharacteristic, complemented
155C22⋊C4×Dic61C2211yescharacteristic, complemented
156C22⋊C4×Dic61C2211yescharacteristic, complemented
157C4×#11758198C2211yescharacteristic, complemented
158C4×#11758198C2211yescharacteristic, complemented
159C4×C22⋊Dic61C2211yescharacteristic, complemented
160#16839609C2211yescharacteristic, complemented
161#16839609C2211yescharacteristic, complemented
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
172C61×#400C2211yescharacteristic, complemented
173C61×#397C2211yescharacteristic, complemented
174C61×#397C2211yescharacteristic, complemented
175C61×#396C2211yescharacteristic, complemented
176C61×#394C2211yescharacteristic, complemented
177C61×#394C2211yescharacteristic, complemented
178C61×#394C2211yescharacteristic, complemented
179C61×#392C2211yescharacteristic
180C61×#390C2211yescharacteristic, complemented
181C61×#388C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic, complemented
183C61×#387C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C4×C22⋊C4×C61C2211yescharacteristic, complemented
187C24×D61C2311yescharacteristic
188C24×D61C2311yescharacteristic
189C24×D61C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C2×D4×D61—24no—
200C2×D4×D61—24no—
201C2×D4×D61—24no—
202C2×D4×D61—42no—
203C2×D4×D61—42no—
204C2×D4×D61—42no—
205C2×D4×D61—42no—
206C2×D4×D61—42no—
207C2×D4×D61—42no—
208C23×Dic61C2311yescharacteristic
209C22×C4×D61—24no—
210C22×C4×D61—42no—
211C22×C4×D61—42no—
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
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C2×C4⋊Dic61C2311yescharacteristic
227C2×C4⋊Dic61C2311yescharacteristic
228C2×C4⋊Dic61C2311yescharacteristic
229C2×C4⋊Dic61C2311yescharacteristic
230C2×C4⋊Dic61C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C4⋊C4×D61—24no—
242C4⋊C4×D61—42no—
243C4⋊C4×D61—42no—
244C4⋊C4×D61—42no—
245C4⋊C4×D61—42no—
246C2×C22⋊Dic61C2311yescharacteristic
247C2×C22⋊Dic61C2311yescharacteristic
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×#11758198C2311yescharacteristic
261C2×#11758198C2311yescharacteristic
262C2×#11758198C2311yescharacteristic
263C2×#11758198C2311yescharacteristic
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C22⋊C4×D61—24no—
289C22⋊C4×D61—24no—
290C22⋊C4×D61—24no—
291C22⋊C4×D61—24no—
292C22⋊C4×D61—42no—
293C22⋊C4×D61—42no—
294C22⋊C4×D61—42no—
295C22⋊C4×D61—42no—
296C22⋊C4×D61—42no—
297C22⋊C4×D61—42no—
298C22⋊C4×D61—42no—
299C22⋊C4×D61—42no—
300C22⋊C4×D61—42no—
301C22⋊C4×D61—42no—
302C2×C4×Dic61C2311yescharacteristic
303C2×C4×Dic61C2311yescharacteristic
304C2×C4×Dic61C2311yescharacteristic
305C2×C4×Dic61C2311yescharacteristic
306C2×C4×Dic61C2311yescharacteristic
307C2×C4×Dic61C2311yescharacteristic
308C42×D61—42no—
309C42×D61—42no—
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340C22×D4×C61C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C22×D4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C42×C61C2311yescharacteristic
364C2×C42×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375C24×C61C2411yescharacteristic
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C23×D61—22no—
379C23×D61—22no—
380C23×D61—22no—
381C23×D61—22no—
382C23×D61—22no—
383C23×D61—22no—
384C23×D61—22no—
385C23×D61—22no—
386C23×D61—22no—
387C23×D61—22no—
388C23×D61—22no—
389C23×D61—22no—
390C23×D61—22no—
391C23×D61—22no—
392C23×D61—22no—
393C23×D61—22no—
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61#4114yes—
399C23×D61C2411yescharacteristic
400C23×D61C2411yescharacteristic
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C2×D4×C61—22no—
404C2×D4×C61—22no—
405C2×D4×C61—22no—
406C2×D4×C61—41no—
407C2×D4×C61—41no—
408C2×D4×C61—41no—
409C2×D4×C61—41no—
410C2×D4×C61—41no—
411C2×D4×C61—41no—
412C22×C4×C61—22no—
413C22×C4×C61—41no—
414C22×C4×C61—41no—
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C2×C22⋊D61—22no—
430C2×C22⋊D61—22no—
431C2×C22⋊D61—22no—
432C2×C22⋊D61—22no—
433C2×C22⋊D61—41no—
434C2×C22⋊D61—41no—
435C2×C22⋊D61—41no—
436C2×C22⋊D61—41no—
437C2×C22⋊D61—41no—
438C2×C22⋊D61—41no—
439C2×C22⋊D61—41no—
440C2×C22⋊D61—41no—
441C2×C22⋊D61—41no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61—41no—
444C2×C22⋊D61—41no—
445C22×Dic61—22no—
446C22×Dic61—41no—
447C22×Dic61—41no—
448C22×Dic61C2411yescharacteristic
449C22×Dic61C2411yescharacteristic
450C22×Dic61C2411yescharacteristic
451C22×Dic61C2411yescharacteristic
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460D4×D61—416no—
461D4×D61—416no—
462D4×D61—416no—
463C2×D244—22no—
464C2×D244—22no—
465C2×D244—22no—
466C2×D244—41no—
467C2×D244—41no—
468C2×D244—41no—
469C2×D244—41no—
470C2×D244—41no—
471C2×D244—41no—
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—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—22no—
504C2×C4×D61—22no—
505C2×C4×D61—22no—
506C2×C4×D61—22no—
507C2×C4×D61—22no—
508C2×C4×D61—416no—
509C2×C4×D61—41no—
510C2×C4×D61—41no—
511C2×C4×D61—41no—
512C2×C4×D61—41no—
513C2×C4×D61#4114yes—
514C2×C4×D61#4114yes—
515C4⋊C4×C61—22no—
516C4⋊C4×C61—41no—
517C4⋊C4×C61—41no—
518C4⋊C4×C61—41no—
519C4⋊C4×C61—41no—
520C22⋊C4×C61—22no—
521C22⋊C4×C61—22no—
522C22⋊C4×C61—22no—
523C22⋊C4×C61—22no—
524C22⋊C4×C61—41no—
525C22⋊C4×C61—41no—
526C22⋊C4×C61—41no—
527C22⋊C4×C61—41no—
528C22⋊C4×C61—41no—
529C22⋊C4×C61—41no—
530C22⋊C4×C61—41no—
531C22⋊C4×C61—41no—
532C22⋊C4×C61—41no—
533C22⋊C4×C61—41no—
534C42×C61—41no—
535C42×C61—41no—
536C22⋊Dic61—22no—
537C22⋊Dic61—22no—
538C22⋊Dic61—22no—
539C22⋊Dic61—22no—
540C22⋊Dic61—41no—
541C22⋊Dic61—41no—
542C22⋊Dic61—41no—
543C22⋊Dic61—41no—
544C22⋊Dic61—41no—
545C22⋊Dic61—41no—
546C22⋊Dic61—41no—
547C22⋊Dic61—41no—
548C22⋊Dic61—41no—
549C22⋊Dic61—41no—
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—41no—
559#11758198—41no—
560#11758198—41no—
561#11758198—41no—
562#11758198—41no—
563#11758198—41no—
564#11758198—41no—
565#11758198—41no—
566#11758198—41no—
567#11758198—41no—
568#11758198—41no—
569#11758198—41no—
570#11758198—41no—
571#11758198—41no—
572#11758198—41no—
573#11758198—41no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578C4⋊Dic61—22no—
579C4⋊Dic61—41no—
580C4⋊Dic61—41no—
581C4⋊Dic61—41no—
582C4⋊Dic61—41no—
583#11758196—22no—
584#11758196—22no—
585#11758196—41no—
586#11758196—41no—
587#11758196—41no—
588#11758196—41no—
589#11758196—41no—
590#11758196—41no—
591#11758196—41no—
592#11758196—41no—
593C4×Dic61—41no—
594C4×Dic61—41no—
595C4×Dic61—41no—
596C4×Dic61—41no—
597C4×Dic61—41no—
598C4×Dic61—41no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61—21no—
605C23×C61—21no—
606C23×C61—21no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61C2×#4112yes—
620C23×C61C2511yescharacteristic
621C22×D61—21no—
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—21no—
627C22×D61—28no—
628C22×D61—28no—
629C22×D61—28no—
630C22×D61—21no—
631C22×D61—21no—
632C22×D61—21no—
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—44no—
645C22×D61—44no—
646C22×D61—44no—
647C22×D61—44no—
648C22×D61—44no—
649C22×D61—44no—
650C22×D61—44no—
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×D61C2×#4112yes—
663C22×D61C2×#4112yes—
664C22×D61C2×#4112yes—
665C22×D61C2×#4112yes—
666C22×D61H(5,𝔽2)12yes—
667C22×D61H(5,𝔽2)12yes—
668C22×D61H(5,𝔽2)12yes—
669C22×D61H(5,𝔽2)12yes—
670D4×C61—44no—
671D4×C61—44no—
672D4×C61—44no—
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—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—44no—
708C2×C4×C61C2×#4112yes—
709C2×C4×C61C2×#4112yes—
710C22⋊D61—44no—
711C22⋊D61—44no—
712C22⋊D61—44no—
713C22⋊D61—44no—
714C22⋊D61—44no—
715C22⋊D61—44no—
716C2×Dic61—21no—
717C2×Dic61—21no—
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—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—44no—
751C2×Dic61C2×#4112yes—
752C2×Dic61C2×#4112yes—
753D244—44no—
754D244—44no—
755D244—44no—
756C4×D61—28no—
757C4×D61—28no—
758C4×D61—44no—
759C4×D61—44no—
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—
769C4×D61—44no—
770C2×#2648—611nomaximal, Sylow
771C22×C61—22no—
772C22×C61—22no—
773C22×C61—22no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
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×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61C22×#4111yescharacteristic
793C22×C61C22×#4111yescharacteristic
794C22×C61C22×#4111yescharacteristic
795C22×C61C2×H(5,𝔽2)11yescharacteristic
796C22×C61C2×H(5,𝔽2)11yescharacteristic
797C22×C61C2×H(5,𝔽2)11yescharacteristic
798C22×C61C2×H(5,𝔽2)11yescharacteristic
799C2×D61—22no—
800C2×D61—22no—
801C2×D61—22no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—41no—
805C2×D61—41no—
806C2×D61—416no—
807C2×D61—41no—
808C2×D61—41no—
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—88no—
822C2×D61—88no—
823C2×D61#52914yes—
824C2×D61#53814yes—
825C2×D61#53814yes—
826C2×D61#53814yes—
827C2×D61#53814yes—
828C2×D61#54014yes—
829C2×D61#54014yes—
830C4×C61—22no—
831C4×C61—22no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61—41no—
838C4×C61—41no—
839C4×C61—41no—
840C4×C61—41no—
841C4×C61—41no—
842Dic61—22no—
843Dic61—22no—
844Dic61—41no—
845Dic61—41no—
846Dic61—41no—
847Dic61—41no—
848Dic61—41no—
849Dic61—41no—
850Dic61—41no—
851Dic61—41no—
852Dic61—41no—
853Dic61—41no—
854#2648—611no—
855#2648—611no—
856#2648—611no—
857#2648—611no—
858#2648—611no—
859#2648—611no—
860#2648—611no—
861#2648—611no—
862#2648—611no—
863#2648—611no—
864#2648—611no—
865#2648—611no—
866#2648—611no—
867#2648—611no—
868#2648—611no—
869#2648D6111yescharacteristic, direct product factor
870C2×#400—611no—
871C2×#397—611no—
872C2×#397—611no—
873C2×#396—611no—
874C2×#394—611no—
875C2×#394—611no—
876C2×#394—611no—
877C2×#392—611no—
878C2×#390—611no—
879C2×#388—611no—
880C2×#388—611no—
881C2×#387—611no—
882C2×#386—611no—
883C2×#386—611no—
884C2×C4×C22⋊C4—611no—
885C2×C61—42no—
886C2×C61—81no—
887C2×C61—81no—
888C2×C61C2×#52911yescharacteristic
889C2×C61C2×#53811yescharacteristic
890C2×C61C2×#53811yescharacteristic
891C2×C61C2×#53811yescharacteristic
892C2×C61C2×#53811yescharacteristic
893C2×C61C2×#54011yescharacteristic
894C2×C61C2×#54011yescharacteristic
895D61—42no—
896D61—81no—
897D61—81no—
898D61#264818yesdirect product factor
899C23×D4—611no—
900C23×D4—611no—
901C23×D4—611no—
902C24×C4—611no—
903C22×C4⋊C4—611no—
904C22×C4⋊C4—611no—
905C22×C4⋊C4—611no—
906C22×C4⋊C4—611no—
907C22×C4⋊C4—611no—
908C22×C22⋊C4—611no—
909C22×C22⋊C4—611no—
910C22×C22⋊C4—611no—
911C22×C22⋊C4—611no—
912C22×C22⋊C4—611no—
913C22×C22⋊C4—611no—
914C22×C22⋊C4—611no—
915C22×C22⋊C4—611no—
916C22×C22⋊C4—611no—
917C22×C22⋊C4—611no—
918C22×C22⋊C4—611no—
919C22×C22⋊C4—611no—
920C22×C22⋊C4—611no—
921C22×C22⋊C4—611no—
922C22×C42—611no—
923C22×C42—611no—
924#400—611no—
925#400—611no—
926#400—611no—
927#400—611no—
928#400—611no—
929#400—611no—
930#400—611no—
931#400C2×D6111yescharacteristic, complemented
932#397—611no—
933#397—611no—
934#397—611no—
935#397—611no—
936#397—611no—
937#397—611no—
938#397—611no—
939#397—611no—
940#397—611no—
941#397—611no—
942#397—611no—
943#397—611no—
944#397—611no—
945#397—611no—
946#397C2×D6111yescharacteristic, complemented
947#397C2×D6111yescharacteristic, complemented
948#396—611no—
949#396—611no—
950#396—611no—
951#396—611no—
952#396—611no—
953#396—611no—
954#396—611no—
955#396C2×D6111yescharacteristic, complemented
956#394—611no—
957#394—611no—
958#394—611no—
959#394—611no—
960#394—611no—
961#394—611no—
962#394—611no—
963#394—611no—
964#394—611no—
965#394—611no—
966#394—611no—
967#394—611no—
968#394—611no—
969#394—611no—
970#394—611no—
971#394—611no—
972#394—611no—
973#394—611no—
974#394—611no—
975#394—611no—
976#394—611no—
977#394C2×D6111yescharacteristic, complemented
978#394C2×D6111yescharacteristic, complemented
979#394C2×D6111yescharacteristic, complemented
980#392—611no—
981#392—611no—
982#392—611no—
983#392—611no—
984#392—611no—
985#392—611no—
986#392—611no—
987#392C2×D6111yescharacteristic
988#390—611no—
989#390—611no—
990#390—611no—
991#390—611no—
992#390—611no—
993#390—611no—
994#390—611no—
995#390C2×D6111yescharacteristic, complemented
996#388—611no—
997#388—611no—
998#388—611no—
999#388—611no—
1000#388—611no—
1001#388—611no—
1002#388—611no—
1003#388—611no—
1004#388—611no—
1005#388—611no—
1006#388—611no—
1007#388—611no—
1008#388—611no—
1009#388—611no—
1010#388C2×D6111yescharacteristic, complemented
1011#388C2×D6111yescharacteristic, complemented
1012#387—611no—
1013#387—611no—
1014#387—611no—
1015#387—611no—
1016#387—611no—
1017#387—611no—
1018#387—611no—
1019#387C2×D6111yescharacteristic, complemented
1020#386—611no—
1021#386—611no—
1022#386—611no—
1023#386—611no—
1024#386—611no—
1025#386—611no—
1026#386—611no—
1027#386—611no—
1028#386—611no—
1029#386—611no—
1030#386—611no—
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386C2×D6111yescharacteristic, complemented
1035#386C2×D6111yescharacteristic, complemented
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⋊C4C2×D6111yescharacteristic, complemented
1044C2×#95—611no—
1045C2×#95—611no—
1046C2×#95—611no—
1047C2×#95—611no—
1048C2×#95—611no—
1049C2×#95—611no—
1050C2×#95—611no—
1051C2×#95—611no—
1052C2×#95—611no—
1053C2×#95—611no—
1054C61C2×#264811yescharacteristic, complemented, Sylow
1055C25—611no—
1056C25—611no—
1057C25—611no—
1058C22×D4—611no—
1059C22×D4—611no—
1060C22×D4—611no—
1061C22×D4—611no—
1062C22×D4—611no—
1063C22×D4—611no—
1064C22×D4—611no—
1065C22×D4—611no—
1066C22×D4—611no—
1067C22×D4—1224no—
1068C22×D4—1224no—
1069C22×D4—1224no—
1070C22×D4—2442no—
1071C22×D4—2442no—
1072C22×D4—2442no—
1073C22×D4—2442no—
1074C22×D4—2442no—
1075C22×D4—2442no—
1076C22×D4C22×D6111yescharacteristic
1077C22×D4C22×D6111yescharacteristic
1078C22×D4C22×D6111yescharacteristic
1079C23×C4—611no—
1080C23×C4—611no—
1081C23×C4—611no—
1082C23×C4—611no—
1083C23×C4—611no—
1084C23×C4—611no—
1085C23×C4—611no—
1086C23×C4—611no—
1087C23×C4—611no—
1088C23×C4—611no—
1089C23×C4—611no—
1090C23×C4—611no—
1091C23×C4—611no—
1092C23×C4—611no—
1093C23×C4—611no—
1094C23×C4—1224no—
1095C23×C4—2442no—
1096C23×C4—2442no—
1097C23×C4C22×D6111yescharacteristic
1098C2×C4⋊C4—611no—
1099C2×C4⋊C4—611no—
1100C2×C4⋊C4—611no—
1101C2×C4⋊C4—611no—
1102C2×C4⋊C4—611no—
1103C2×C4⋊C4—611no—
1104C2×C4⋊C4—611no—
1105C2×C4⋊C4—611no—
1106C2×C4⋊C4—611no—
1107C2×C4⋊C4—611no—
1108C2×C4⋊C4—611no—
1109C2×C4⋊C4—611no—
1110C2×C4⋊C4—611no—
1111C2×C4⋊C4—611no—
1112C2×C4⋊C4—611no—
1113C2×C4⋊C4—1224no—
1114C2×C4⋊C4—2442no—
1115C2×C4⋊C4—2442no—
1116C2×C4⋊C4—2442no—
1117C2×C4⋊C4—2442no—
1118C2×C4⋊C4C22×D6111yescharacteristic
1119C2×C4⋊C4C22×D6111yescharacteristic
1120C2×C4⋊C4C22×D6111yescharacteristic
1121C2×C4⋊C4C22×D6111yescharacteristic
1122C2×C4⋊C4C22×D6111yescharacteristic
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—611no—
1125C2×C22⋊C4—611no—
1126C2×C22⋊C4—611no—
1127C2×C22⋊C4—611no—
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—611no—
1138C2×C22⋊C4—611no—
1139C2×C22⋊C4—611no—
1140C2×C22⋊C4—611no—
1141C2×C22⋊C4—611no—
1142C2×C22⋊C4—611no—
1143C2×C22⋊C4—611no—
1144C2×C22⋊C4—611no—
1145C2×C22⋊C4—611no—
1146C2×C22⋊C4—611no—
1147C2×C22⋊C4—611no—
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—1224no—
1166C2×C22⋊C4—1224no—
1167C2×C22⋊C4—1224no—
1168C2×C22⋊C4—1224no—
1169C2×C22⋊C4—2442no—
1170C2×C22⋊C4—2442no—
1171C2×C22⋊C4—2442no—
1172C2×C22⋊C4—2442no—
1173C2×C22⋊C4—2442no—
1174C2×C22⋊C4—2442no—
1175C2×C22⋊C4—2442no—
1176C2×C22⋊C4—2442no—
1177C2×C22⋊C4—2442no—
1178C2×C22⋊C4—2442no—
1179C2×C22⋊C4C22×D6111yescharacteristic
1180C2×C22⋊C4C22×D6111yescharacteristic
1181C2×C22⋊C4C22×D6111yescharacteristic
1182C2×C22⋊C4C22×D6111yescharacteristic
1183C2×C22⋊C4C22×D6111yescharacteristic
1184C2×C22⋊C4C22×D6111yescharacteristic
1185C2×C22⋊C4C22×D6111yescharacteristic
1186C2×C22⋊C4C22×D6111yescharacteristic
1187C2×C22⋊C4C22×D6111yescharacteristic
1188C2×C22⋊C4C22×D6111yescharacteristic
1189C2×C22⋊C4C22×D6111yescharacteristic
1190C2×C22⋊C4C22×D6111yescharacteristic
1191C2×C22⋊C4C22×D6111yescharacteristic
1192C2×C22⋊C4C22×D6111yescharacteristic
1193C2×C42—611no—
1194C2×C42—611no—
1195C2×C42—611no—
1196C2×C42—611no—
1197C2×C42—611no—
1198C2×C42—611no—
1199C2×C42—2442no—
1200C2×C42—2442no—
1201C2×C42C22×D6111yescharacteristic
1202C2×C42C22×D6111yescharacteristic
1203#95—611no—
1204#95—611no—
1205#95—611no—
1206#95—611no—
1207#95—611no—
1208#95—611no—
1209#95—611no—
1210#95—611no—
1211#95—611no—
1212#95—611no—
1213#95—611no—
1214#95—611no—
1215#95—611no—
1216#95—611no—
1217#95—611no—
1218#95—611no—
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#95C22×D6111yescharacteristic
1234#95C22×D6111yescharacteristic
1235#95C22×D6111yescharacteristic
1236#95C22×D6111yescharacteristic
1237#95C22×D6111yescharacteristic
1238#95C22×D6111yescharacteristic
1239#95C22×D6111yescharacteristic
1240#95C22×D6111yescharacteristic
1241#95C22×D6111yescharacteristic
1242#95C22×D6111yescharacteristic
1243C24—611no—
1244C24—614no—
1245C24—611no—
1246C24—611no—
1247C24—611no—
1248C24—1222no—
1249C24—1222no—
1250C24—1222no—
1251C24—1222no—
1252C24—1222no—
1253C24—1222no—
1254C24—1222no—
1255C24—1222no—
1256C24—1222no—
1257C24—1222no—
1258C24—1222no—
1259C24—1222no—
1260C24—1222no—
1261C24—1222no—
1262C24—1222no—
1263C24—1222no—
1264C24—1222no—
1265C24—1222no—
1266C24—1222no—
1267C24—1222no—
1268C24C23×D6111yescharacteristic
1269C24C23×D6111yescharacteristic
1270C24C23×D6111yescharacteristic
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
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—2441no—
1290C2×D4—2441no—
1291C2×D4—2441no—
1292C2×D4—2441no—
1293C2×D4—2441no—
1294C2×D4—2441no—
1295C2×D4—24416no—
1296C2×D4—2441no—
1297C2×D4—2441no—
1298C2×D4—2441no—
1299C2×D4—2441no—
1300C2×D4—2441no—
1301C2×D4—2441no—
1302C2×D4—2441no—
1303C2×D4—2441no—
1304C2×D4—2441no—
1305C2×D4—2441no—
1306C2×D4—2441no—
1307C2×D4—2441no—
1308C2×D4—24416no—
1309C2×D4—24416no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—611no—
1314C22×C4—611no—
1315C22×C4—614no—
1316C22×C4—614no—
1317C22×C4—611no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—611no—
1325C22×C4—611no—
1326C22×C4—611no—
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—1222no—
1357C22×C4—1222no—
1358C22×C4—1222no—
1359C22×C4—1222no—
1360C22×C4—1222no—
1361C22×C4—1222no—
1362C22×C4—1222no—
1363C22×C4—1222no—
1364C22×C4—2441no—
1365C22×C4—2441no—
1366C22×C4—2441no—
1367C22×C4—2441no—
1368C22×C4—24416no—
1369C22×C4—2441no—
1370C22×C4—2441no—
1371C22×C4C23×D6111yescharacteristic
1372C22×C4C23×D6111yescharacteristic
1373C22×C4C23×D6111yescharacteristic
1374C22×C4C23×D6111yescharacteristic
1375C22×C4C23×D6111yescharacteristic
1376C22×C4C23×D6111yescharacteristic
1377C22×C4C23×D6111yescharacteristic
1378C22×C4C23×D6111yescharacteristic
1379C22×C4C23×D6111yescharacteristic
1380C22×C4C23×D6111yescharacteristic
1381C22×C4C23×D6111yescharacteristic
1382C22×C4C23×D6111yescharacteristic
1383C4⋊C4—22no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—1222no—
1389C4⋊C4—1222no—
1390C4⋊C4—1222no—
1391C4⋊C4—2441no—
1392C4⋊C4—2441no—
1393C4⋊C4—2441no—
1394C4⋊C4—2441no—
1395C4⋊C4—2441no—
1396C4⋊C4—2441no—
1397C4⋊C4—2441no—
1398C4⋊C4—2441no—
1399C4⋊C4—2441no—
1400C4⋊C4—2441no—
1401C4⋊C4—2441no—
1402C4⋊C4—2441no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
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—2441no—
1430C22⋊C4—2441no—
1431C22⋊C4—2441no—
1432C22⋊C4—2441no—
1433C22⋊C4—2441no—
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⋊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⋊C4—2441no—
1455C22⋊C4—2441no—
1456C22⋊C4—2441no—
1457C22⋊C4—2441no—
1458C22⋊C4—2441no—
1459C42—41no—
1460C42—41no—
1461C42—2441no—
1462C42—2441no—
1463C42—2441no—
1464C42—2441no—
1465C42—2441no—
1466C42—2441no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
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—21no—
1485C23—21no—
1486C23—21no—
1487C23—612no—
1488C23—612no—
1489C23—612no—
1490C23—612no—
1491C23—612no—
1492C23—612no—
1493C23—612no—
1494C23—612no—
1495C23—1228no—
1496C23—1228no—
1497C23—1228no—
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—1221no—
1515C23—1221no—
1516C23—1221no—
1517C23—1221no—
1518C23—2444no—
1519C23—2444no—
1520C23—2444no—
1521C23—2444no—
1522C23—2444no—
1523C23—2444no—
1524C23—2444no—
1525C23—2444no—
1526C23—2444no—
1527C23—2444no—
1528C23—2444no—
1529C23—2444no—
1530C23—2444no—
1531C23—2444no—
1532C23—2444no—
1533C23—2444no—
1534C23—2444no—
1535C23—2444no—
1536C23#41×D6112yes—
1537C23C24×D6111yescharacteristic
1538D4—44no—
1539D4—44no—
1540D4—44no—
1541D4—2444no—
1542D4—2444no—
1543D4—2444no—
1544D4—2444no—
1545D4—2444no—
1546D4—2444no—
1547D4—2444no—
1548D4—2444no—
1549D4—2444no—
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—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—44no—
1585C2×C4—612no—
1586C2×C4—612no—
1587C2×C4—1228no—
1588C2×C4—1228no—
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—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—1221no—
1619C2×C4—1221no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—1221no—
1623C2×C4—2444no—
1624C2×C4—2444no—
1625C2×C4—2444no—
1626C2×C4—2444no—
1627C2×C4—2444no—
1628C2×C4—2444no—
1629C2×C4—2444no—
1630C2×C4—2444no—
1631C2×C4—2444no—
1632C2×C4—2444no—
1633C2×C4—2444no—
1634C2×C4—2444no—
1635C2×C4—2444no—
1636C2×C4#41×D6112yes—
1637C2×C4#41×D6112yes—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—614no—
1660C22—614no—
1661C22—614no—
1662C22—614no—
1663C22—614no—
1664C22—614no—
1665C22—614no—
1666C22—1222no—
1667C22—1222no—
1668C22—1222no—
1669C22—4888no—
1670C22—4888no—
1671C22—24416no—
1672C22—2441no—
1673C22—2441no—
1674C22—2441no—
1675C22—2441no—
1676C22—2441no—
1677C22—2441no—
1678C22—2441no—
1679C22—2441no—
1680C22—2441no—
1681C22—2441no—
1682C22—2441no—
1683C22—2441no—
1684C22—2441no—
1685C22—2441no—
1686C22—2441no—
1687C22—2441no—
1688C22—2441no—
1689C22—2441no—
1690C22C2×#41×D6111yescharacteristic
1691C22C2×#41×D6111yescharacteristic
1692C22C2×#41×D6111yescharacteristic
1693C22H(5,𝔽2)×D6111yescharacteristic
1694C22H(5,𝔽2)×D6111yescharacteristic
1695C22H(5,𝔽2)×D6111yescharacteristic
1696C22H(5,𝔽2)×D6111yescharacteristic
1697C4—22no—
1698C4—22no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—1222no—
1710C4—1222no—
1711C4—2441no—
1712C4—2441no—
1713C4—2441no—
1714C4—2441no—
1715C4—2441no—
1716C4—2441no—
1717C4—2441no—
1718C4—2441no—
1719C4—2441no—
1720C4—2441no—
1721C2—42no—
1722C2—81no—
1723C2—81no—
1724C2—618no—
1725C2—4881no—
1726C2—4881no—
1727C2—2442no—
1728C2#529×D6111yescharacteristic
1729C2#538×D6111yescharacteristic
1730C2#538×D6111yescharacteristic
1731C2#538×D6111yescharacteristic
1732C2#538×D6111yescharacteristic
1733C2#540×D6111yescharacteristic
1734C2#540×D6111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2648C2
prime radical#392×D61C2
hypercenter#2648D61
hypocenterC61C2×#2648
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2648

Complements

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

NH ≅ G/Ntype
1. #21451814C2semidirect
2. #21451813C2semidirect
3. #21451812C2semidirect
4. #21451811C2semidirect
5. #21451810C2semidirect
6. #21451809C2semidirect
7. #21451808C2semidirect
8. #21451807C2semidirect
9. #21451806C2semidirect
10. #21451805C2semidirect
11. #21451804C2semidirect
12. #21451803C2semidirect
13. #21451802C2semidirect
14. #21451801C2semidirect
15. #21451800C2semidirect
16. #400×D61C2semidirect
17. #397×D61C2semidirect
18. #397×D61C2semidirect
19. #396×D61C2semidirect
20. #394×D61C2semidirect
21. #394×D61C2semidirect
22. #394×D61C2semidirect
24. #390×D61C2semidirect
25. #388×D61C2semidirect
26. #388×D61C2semidirect
27. #387×D61C2semidirect
28. #386×D61C2semidirect
29. #386×D61C2semidirect
30. C4×C22⋊C4×D61C2semidirect
31. C61×#2648C2semidirect
57. #16839704C22semidirect
58. #16839704C22semidirect
59. #16839703C22semidirect
60. #16839703C22semidirect
61. #16839702C22semidirect
62. #16839701C22semidirect
63. #16839700C22semidirect
64. #16839691C22semidirect
65. #16839691C22semidirect
66. #16839691C22semidirect
67. #16839691C22semidirect
68. #16839690C22semidirect
69. #16839690C22semidirect
70. #16839690C22semidirect
71. #16839690C22semidirect
72. #16839689C22semidirect
73. #16839689C22semidirect
74. #16839688C22semidirect
75. #16839688C22semidirect
76. #16839687C22semidirect
77. #16839687C22semidirect
78. #16839686C22semidirect
79. #16839685C22semidirect
80. #16839685C22semidirect
81. #16839685C22semidirect
82. #16839684C22semidirect
83. #16839684C22semidirect
84. #16839684C22semidirect
85. #16839680C22semidirect
86. #16839680C22semidirect
87. #16839680C22semidirect
88. #16839679C22semidirect
89. #16839679C22semidirect
90. #16839679C22semidirect
91. #16839678C22semidirect
92. #16839678C22semidirect
93. #16839678C22semidirect
94. #16839678C22semidirect
95. #16839678C22semidirect
96. #16839678C22semidirect
97. #16839677C22semidirect
98. #16839677C22semidirect
99. #16839677C22semidirect
100. #16839677C22semidirect
101. #16839677C22semidirect
102. #16839677C22semidirect
103. #16839676C22semidirect
104. #16839676C22semidirect
105. #16839676C22semidirect
113. #16839665C22semidirect
114. #16839664C22semidirect
115. #16839663C22semidirect
116. #16839662C22semidirect
117. #16839662C22semidirect
118. #16839662C22semidirect
119. #16839662C22semidirect
120. #16839656C22semidirect
121. #16839656C22semidirect
122. #16839655C22semidirect
123. #16839655C22semidirect
124. #16839654C22semidirect
125. #16839654C22semidirect
126. #16839653C22semidirect
127. #16839653C22semidirect
128. #16839652C22semidirect
129. #16839652C22semidirect
130. #16839651C22semidirect
131. #16839651C22semidirect
132. #16839650C22semidirect
133. #16839650C22semidirect
134. #16839649C22semidirect
135. #16839648C22semidirect
136. #16839647C22semidirect
137. #16839646C22semidirect
138. #16839645C22semidirect
139. #16839644C22semidirect
140. #16839643C22semidirect
141. #16839642C22semidirect
142. #16839642C22semidirect
143. #16839641C22semidirect
144. #16839641C22semidirect
145. #16839640C22semidirect
146. #16839640C22semidirect
147. #16839640C22semidirect
148. #16839640C22semidirect
149. #16839639C22semidirect
150. #16839639C22semidirect
151. #16839638C22semidirect
152. #16839638C22semidirect
153. #16839638C22semidirect
154. #16839638C22semidirect
155. C22⋊C4×Dic61C22semidirect
156. C22⋊C4×Dic61C22semidirect
157. C4×#11758198C22semidirect
158. C4×#11758198C22semidirect
159. C4×C22⋊Dic61C22semidirect
160. #16839609C22semidirect
161. #16839609C22semidirect
172. C61×#400C22semidirect
173. C61×#397C22semidirect
174. C61×#397C22semidirect
175. C61×#396C22semidirect
176. C61×#394C22semidirect
177. C61×#394C22semidirect
178. C61×#394C22semidirect
180. C61×#390C22semidirect
181. C61×#388C22semidirect
182. C61×#388C22semidirect
183. C61×#387C22semidirect
184. C61×#386C22semidirect
185. C61×#386C22semidirect
186. C4×C22⋊C4×C61C22semidirect
869. #2648D61direct (N × H)
898. D61#2648direct (N × H)
931. #400C2×D61semidirect
946. #397C2×D61semidirect
947. #397C2×D61semidirect
955. #396C2×D61semidirect
977. #394C2×D61semidirect
978. #394C2×D61semidirect
979. #394C2×D61semidirect
995. #390C2×D61semidirect
1010. #388C2×D61semidirect
1011. #388C2×D61semidirect
1019. #387C2×D61semidirect
1034. #386C2×D61semidirect
1035. #386C2×D61semidirect
1043. C4×C22⋊C4C2×D61semidirect
1054. C61C2×#2648semidirect

Maximal subgroups

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

subgroupindex
#214518142
#214518132
#214518122
#214518112
#214518102
#214518092
#214518082
#214518072
#214518062
#214518052
#214518042
#214518032
#214518022
#214518012
#214518002
#400×D612
#397×D612
#396×D612
#394×D612
#392×D612
#390×D612
#388×D612
#387×D612
#386×D612
C4×C22⋊C4×D612
C61×#26482
C2×#264861