Finite Group Databasebeta

← D61×#2829 #29886328

Subgroups — D61×#2829 #29886328

Order 15616.

2434 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21453958C211yesmaximal, characteristic, complemented
2#21453957C211yesmaximal, characteristic, complemented
3#21453956C211yesmaximal, characteristic, complemented
4#21453955C211yesmaximal, characteristic, complemented
5#21453954C211yesmaximal, characteristic, complemented
6#21453953C211yesmaximal, characteristic, complemented
7#21453952C211yesmaximal, characteristic, complemented
8#21453951C211yesmaximal, characteristic, complemented
9#21453950C211yesmaximal, characteristic, complemented
10#21453949C211yesmaximal, characteristic, complemented
11#21453948C211yesmaximal, characteristic, complemented
12#21453947C211yesmaximal, characteristic, complemented
13#21453946C211yesmaximal, characteristic, complemented
14#21453945C211yesmaximal, characteristic, complemented
15#21453944C211yesmaximal, characteristic, complemented
16#399×D61C211yesmaximal, characteristic, complemented
17#398×D61C211yesmaximal, characteristic, complemented
18#397×D61C211yesmaximal, characteristic, complemented
19#397×D61C211yesmaximal, characteristic, complemented
20#396×D61C211yesmaximal, characteristic, complemented
21#396×D61C211yesmaximal, characteristic, complemented
22#394×D61C211yesmaximal, characteristic, complemented
23#394×D61C211yesmaximal, characteristic, complemented
24#394×D61C211yesmaximal, characteristic, complemented
25#394×D61C211yesmaximal, characteristic, complemented
26#394×D61C211yesmaximal, characteristic, complemented
27#392×D61C211yesmaximal, characteristic
28#390×D61C211yesmaximal, characteristic, complemented
29#388×D61C211yesmaximal, characteristic, complemented
30#387×D61C211yesmaximal, characteristic, complemented
31C61×#2829C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C2×C4⋊C4×D61C2211yescharacteristic
36C2×C4⋊C4×D61C2211yescharacteristic
37C2×C4⋊C4×D61C2211yescharacteristic
38C2×C4⋊C4×D61C2211yescharacteristic
39C2×C4⋊C4×D61C2211yescharacteristic
40C2×C4⋊C4×D61C2211yescharacteristic
41C2×C4⋊C4×D61C2211yescharacteristic
42C2×C4⋊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×C22⋊C4×D61C2211yescharacteristic
56C2×C22⋊C4×D61C2211yescharacteristic
57C2×C22⋊C4×D61C2211yescharacteristic
58C2×C42×D61C2211yescharacteristic
59#16839699C2211yescharacteristic, complemented
60#16839698C2211yescharacteristic, complemented
61#16839698C2211yescharacteristic, complemented
62#16839698C2211yescharacteristic, complemented
63#16839697C2211yescharacteristic, complemented
64#16839697C2211yescharacteristic, complemented
65#16839697C2211yescharacteristic, complemented
66#16839696C2211yescharacteristic, complemented
67#16839696C2211yescharacteristic, complemented
68#16839695C2211yescharacteristic, complemented
69#16839695C2211yescharacteristic, complemented
70#16839694C2211yescharacteristic, complemented
71#16839693C2211yescharacteristic, complemented
72#16839692C2211yescharacteristic, complemented
73#16839691C2211yescharacteristic, complemented
74#16839691C2211yescharacteristic, complemented
75#16839691C2211yescharacteristic, complemented
76#16839691C2211yescharacteristic, complemented
77#16839690C2211yescharacteristic, complemented
78#16839690C2211yescharacteristic, complemented
79#16839690C2211yescharacteristic, complemented
80#16839690C2211yescharacteristic, complemented
81#16839689C2211yescharacteristic, complemented
82#16839689C2211yescharacteristic, complemented
83#16839688C2211yescharacteristic, complemented
84#16839688C2211yescharacteristic, complemented
85#16839687C2211yescharacteristic, complemented
86#16839687C2211yescharacteristic, complemented
87#16839686C2211yescharacteristic, complemented
88#16839686C2211yescharacteristic, complemented
89#16839685C2211yescharacteristic, complemented
90#16839685C2211yescharacteristic, complemented
91#16839685C2211yescharacteristic, complemented
92#16839685C2211yescharacteristic, complemented
93#16839685C2211yescharacteristic, complemented
94#16839685C2211yescharacteristic, complemented
95#16839684C2211yescharacteristic, complemented
96#16839684C2211yescharacteristic, complemented
97#16839684C2211yescharacteristic, complemented
98#16839684C2211yescharacteristic, complemented
99#16839684C2211yescharacteristic, complemented
100#16839684C2211yescharacteristic, complemented
101#16839680C2211yescharacteristic, complemented
102#16839680C2211yescharacteristic, complemented
103#16839680C2211yescharacteristic, complemented
104#16839680C2211yescharacteristic, complemented
105#16839680C2211yescharacteristic, complemented
106#16839679C2211yescharacteristic, complemented
107#16839679C2211yescharacteristic, complemented
108#16839679C2211yescharacteristic, complemented
109#16839679C2211yescharacteristic, complemented
110#16839679C2211yescharacteristic, complemented
111#16839678C2211yescharacteristic, complemented
112#16839678C2211yescharacteristic, complemented
113#16839678C2211yescharacteristic, complemented
114#16839678C2211yescharacteristic, complemented
115#16839678C2211yescharacteristic, complemented
116#16839678C2211yescharacteristic, complemented
117#16839678C2211yescharacteristic, complemented
118#16839678C2211yescharacteristic, complemented
119#16839678C2211yescharacteristic, complemented
120#16839678C2211yescharacteristic, complemented
121#16839677C2211yescharacteristic, complemented
122#16839677C2211yescharacteristic, complemented
123#16839677C2211yescharacteristic, complemented
124#16839677C2211yescharacteristic, complemented
125#16839677C2211yescharacteristic, complemented
126#16839677C2211yescharacteristic, complemented
127#16839677C2211yescharacteristic, complemented
128#16839677C2211yescharacteristic, complemented
129#16839677C2211yescharacteristic, complemented
130#16839677C2211yescharacteristic, complemented
131#16839676C2211yescharacteristic, complemented
132#16839676C2211yescharacteristic, complemented
133#16839676C2211yescharacteristic, complemented
134#16839676C2211yescharacteristic, complemented
135#16839676C2211yescharacteristic, complemented
136#16839672C2211yescharacteristic
137#16839671C2211yescharacteristic
138#16839671C2211yescharacteristic
139#16839671C2211yescharacteristic
140#16839670C2211yescharacteristic
141#16839670C2211yescharacteristic
142#16839670C2211yescharacteristic
143#16839665C2211yescharacteristic, complemented
144#16839664C2211yescharacteristic, complemented
145#16839663C2211yescharacteristic, complemented
146#16839662C2211yescharacteristic, complemented
147#16839662C2211yescharacteristic, complemented
148#16839662C2211yescharacteristic, complemented
149#16839662C2211yescharacteristic, complemented
150#16839656C2211yescharacteristic, complemented
151#16839655C2211yescharacteristic, complemented
152#16839654C2211yescharacteristic, complemented
153#16839653C2211yescharacteristic, complemented
154#16839652C2211yescharacteristic, complemented
155#16839651C2211yescharacteristic, complemented
156#16839650C2211yescharacteristic, complemented
157#16839649C2211yescharacteristic, complemented
158#16839648C2211yescharacteristic, complemented
159#16839647C2211yescharacteristic, complemented
160#16839646C2211yescharacteristic, complemented
161#16839645C2211yescharacteristic, complemented
162#16839644C2211yescharacteristic, complemented
163#16839643C2211yescharacteristic, complemented
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×#399C2211yescharacteristic, complemented
173C61×#398C2211yescharacteristic, complemented
174C61×#397C2211yescharacteristic, complemented
175C61×#397C2211yescharacteristic, complemented
176C61×#396C2211yescharacteristic, complemented
177C61×#396C2211yescharacteristic, complemented
178C61×#394C2211yescharacteristic, complemented
179C61×#394C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#394C2211yescharacteristic, complemented
183C61×#392C2211yescharacteristic
184C61×#390C2211yescharacteristic, complemented
185C61×#388C2211yescharacteristic, complemented
186C61×#387C2211yescharacteristic, 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—42no—
201C2×D4×D61—42no—
202C2×D4×D61—42no—
203C2×D4×D61—42no—
204C2×D4×D61—42no—
205C2×D4×D61—42no—
206C2×D4×D61—42no—
207C2×D4×D61—42no—
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
220C2×C4⋊Dic61C2311yescharacteristic
221C2×C4⋊Dic61C2311yescharacteristic
222C2×C4⋊Dic61C2311yescharacteristic
223C2×C4⋊Dic61C2311yescharacteristic
224C2×C4⋊Dic61C2311yescharacteristic
225C2×C4⋊Dic61C2311yescharacteristic
226C2×C4⋊Dic61C2311yescharacteristic
227C2×C4⋊Dic61C2311yescharacteristic
228C2×#11758196C2311yescharacteristic
229C2×#11758196C2311yescharacteristic
230C2×#11758196C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C4⋊C4×D61—24no—
245C4⋊C4×D61—42no—
246C4⋊C4×D61—42no—
247C4⋊C4×D61—42no—
248C4⋊C4×D61—42no—
249C4⋊C4×D61—42no—
250C4⋊C4×D61—42no—
251C4⋊C4×D61—42no—
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×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
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
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C22⋊C4×D61—24no—
298C22⋊C4×D61—42no—
299C22⋊C4×D61—42no—
300C22⋊C4×D61—42no—
301C22⋊C4×D61—42no—
302C22⋊C4×D61—42no—
303C22⋊C4×D61—42no—
304C22⋊C4×D61—42no—
305C22⋊C4×D61—42no—
306C22⋊C4×D61—42no—
307C22⋊C4×D61—42no—
308C22⋊C4×D61—42no—
309C22⋊C4×D61—42no—
310C22⋊C4×D61—42no—
311C22⋊C4×D61—42no—
312C2×C4×Dic61C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
314C2×C4×Dic61C2311yescharacteristic
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
340C22×D4×C61C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C22×D4×C61C2311yescharacteristic
343C2×C4⋊C4×C61C2311yescharacteristic
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊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×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C42×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—22no—
399C23×D61C2411yescharacteristic
400C23×D61C2411yescharacteristic
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C2×D4×C61—22no—
404C2×D4×C61—41no—
405C2×D4×C61—41no—
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×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×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C2×C22⋊D61—22no—
425C2×C22⋊D61—22no—
426C2×C22⋊D61—41no—
427C2×C22⋊D61—41no—
428C2×C22⋊D61—41no—
429C2×C22⋊D61—41no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61—41no—
432C2×C22⋊D61—41no—
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—
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C22×Dic61C2411yescharacteristic
446C22×Dic61C2411yescharacteristic
447C22×Dic61C2411yescharacteristic
448C22×Dic61C2411yescharacteristic
449C22×Dic61C2411yescharacteristic
450C22×Dic61C2411yescharacteristic
451C22×Dic61C2411yescharacteristic
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454D4×D61—416no—
455D4×D61—416no—
456D4×D61—416no—
457C2×D244—22no—
458C2×D244—41no—
459C2×D244—41no—
460C2×D244—41no—
461C2×D244—41no—
462C2×D244—41no—
463C2×D244—41no—
464C2×D244—41no—
465C2×D244—41no—
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—22no—
497C2×C4×D61—22no—
498C2×C4×D61—22no—
499C2×C4×D61—22no—
500C2×C4×D61—22no—
501C2×C4×D61#4114yes—
502C4⋊C4×C61—22no—
503C4⋊C4×C61—41no—
504C4⋊C4×C61—41no—
505C4⋊C4×C61—41no—
506C4⋊C4×C61—41no—
507C4⋊C4×C61—41no—
508C4⋊C4×C61—41no—
509C4⋊C4×C61—41no—
510C22⋊C4×C61—22no—
511C22⋊C4×C61—41no—
512C22⋊C4×C61—41no—
513C22⋊C4×C61—41no—
514C22⋊C4×C61—41no—
515C22⋊C4×C61—41no—
516C22⋊C4×C61—41no—
517C22⋊C4×C61—41no—
518C22⋊C4×C61—41no—
519C22⋊C4×C61—41no—
520C22⋊C4×C61—41no—
521C22⋊C4×C61—41no—
522C22⋊C4×C61—41no—
523C22⋊C4×C61—41no—
524C22⋊C4×C61—41no—
525C42×C61—41no—
526C22⋊Dic61—22no—
527C22⋊Dic61—41no—
528C22⋊Dic61—41no—
529C22⋊Dic61—41no—
530C22⋊Dic61—41no—
531C22⋊Dic61—41no—
532C22⋊Dic61—41no—
533C22⋊Dic61—41no—
534C22⋊Dic61—41no—
535C22⋊Dic61—41no—
536C22⋊Dic61—41no—
537C22⋊Dic61—41no—
538C22⋊Dic61—41no—
539C22⋊Dic61—41no—
540C22⋊Dic61—41no—
541#11758198—22no—
542#11758198—22no—
543#11758198—41no—
544#11758198—41no—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548#11758198—41no—
549#11758198—41no—
550#11758198—41no—
551#11758198—41no—
552#11758198—41no—
553#11758198—41no—
554#11758198—41no—
555#11758198—41no—
556#11758198—41no—
557#11758198—41no—
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—
571C4⋊Dic61—22no—
572C4⋊Dic61—41no—
573C4⋊Dic61—41no—
574C4⋊Dic61—41no—
575C4⋊Dic61—41no—
576C4⋊Dic61—41no—
577C4⋊Dic61—41no—
578C4⋊Dic61—41no—
579#11758196—22no—
580#11758196—22no—
581#11758196—41no—
582#11758196—41no—
583#11758196—41no—
584#11758196—41no—
585#11758196—41no—
586#11758196—41no—
587#11758196—41no—
588#11758196—41no—
589#11758196—41no—
590#11758196—41no—
591#11758196—41no—
592#11758196—41no—
593#11758196—41no—
594#11758196—41no—
595C4×Dic61—41no—
596C4×Dic61—41no—
597C4×Dic61—41no—
598C23×C61—21no—
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×C61C2511yescharacteristic
620C22×D61—21no—
621C22×D61—21no—
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—21no—
627C22×D61—21no—
628C22×D61—21no—
629C22×D61—21no—
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—44no—
642C22×D61—44no—
643C22×D61—44no—
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×D61H(5,𝔽2)12yes—
664C22×D61H(5,𝔽2)12yes—
665C22×D61H(5,𝔽2)12yes—
666C22×D61H(5,𝔽2)12yes—
667C22×D61H(5,𝔽2)12yes—
668C22×D612−1+412yes—
669D4×C61—44no—
670D4×C61—44no—
671D4×C61—44no—
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—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61C2×#4112yes—
708C22⋊D61—44no—
709C22⋊D61—44no—
710C22⋊D61—44no—
711C22⋊D61—44no—
712C22⋊D61—44no—
713C22⋊D61—44no—
714C2×Dic61—21no—
715C2×Dic61—21no—
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×Dic61C2×#4112yes—
750D244—44no—
751D244—44no—
752D244—44no—
753C4×D61—28no—
754C4×D61—44no—
755C4×D61—44no—
756C4×D61—44no—
757C4×D61—44no—
758C4×D61—44no—
759C4×D61—44no—
760C4×D61—44no—
761C4×D61—44no—
762C4×D61—44no—
763C4×D61—44no—
764C4×D61—44no—
765C2×#2829—611nomaximal, Sylow
766C22×C61—41no—
767C22×C61—41no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61—41no—
772C22×C61—41no—
773C22×C61—41no—
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×C61C22×#4111yescharacteristic
788C22×C61C2×H(5,𝔽2)11yescharacteristic
789C22×C61C2×H(5,𝔽2)11yescharacteristic
790C22×C61C2×H(5,𝔽2)11yescharacteristic
791C22×C61C2×H(5,𝔽2)11yescharacteristic
792C22×C61C2×H(5,𝔽2)11yescharacteristic
793C22×C61C2×2−1+411yescharacteristic
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—41no—
805C2×D61—41no—
806C2×D61—41no—
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—88no—
816C2×D61—88no—
817C2×D61—88no—
818C2×D61#53814yes—
819C2×D61#54014yes—
820C2×D61#54214yes—
821C2×D61#56014yes—
822C2×D61#56014yes—
823C2×D61#56214yes—
824C2×D61#56214yes—
825C4×C61—22no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837Dic61—22no—
838Dic61—41no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61—41no—
845Dic61—41no—
846Dic61—41no—
847Dic61—41no—
848Dic61—41no—
849#2829—611no—
850#2829—611no—
851#2829—611no—
852#2829—611no—
853#2829—611no—
854#2829—611no—
855#2829—611no—
856#2829—611no—
857#2829—611no—
858#2829—611no—
859#2829—611no—
860#2829—611no—
861#2829—611no—
862#2829—611no—
863#2829—611no—
864#2829D6111yescharacteristic, direct product factor
865C2×#399—611no—
866C2×#398—611no—
867C2×#397—611no—
868C2×#397—611no—
869C2×#396—611no—
870C2×#396—611no—
871C2×#394—611no—
872C2×#394—611no—
873C2×#394—611no—
874C2×#394—611no—
875C2×#394—611no—
876C2×#392—611no—
877C2×#390—611no—
878C2×#388—611no—
879C2×#387—611no—
880C2×C61—81no—
881C2×C61—81no—
882C2×C61—81no—
883C2×C61C2×#53811yescharacteristic
884C2×C61C2×#54011yescharacteristic
885C2×C61C2×#54211yescharacteristic
886C2×C61C2×#56011yescharacteristic
887C2×C61C2×#56011yescharacteristic
888C2×C61C2×#56211yescharacteristic
889C2×C61C2×#56211yescharacteristic
890D61—81no—
891D61—81no—
892D61—81no—
893D61#282918yesdirect product factor
894C23×D4—611no—
895C23×D4—611no—
896C23×D4—611no—
897C22×C4⋊C4—611no—
898C22×C4⋊C4—611no—
899C22×C4⋊C4—611no—
900C22×C4⋊C4—611no—
901C22×C4⋊C4—611no—
902C22×C4⋊C4—611no—
903C22×C4⋊C4—611no—
904C22×C4⋊C4—611no—
905C22×C22⋊C4—611no—
906C22×C22⋊C4—611no—
907C22×C22⋊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×C42—611no—
921#399—611no—
922#399—611no—
923#399—611no—
924#399—611no—
925#399—611no—
926#399—611no—
927#399—611no—
928#399C2×D6111yescharacteristic, complemented
929#398—611no—
930#398—611no—
931#398—611no—
932#398—611no—
933#398—611no—
934#398—611no—
935#398—611no—
936#398C2×D6111yescharacteristic, complemented
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#397—611no—
947#397—611no—
948#397—611no—
949#397—611no—
950#397—611no—
951#397C2×D6111yescharacteristic, complemented
952#397C2×D6111yescharacteristic, complemented
953#396—611no—
954#396—611no—
955#396—611no—
956#396—611no—
957#396—611no—
958#396—611no—
959#396—611no—
960#396—611no—
961#396—611no—
962#396—611no—
963#396—611no—
964#396—611no—
965#396—611no—
966#396—611no—
967#396C2×D6111yescharacteristic, complemented
968#396C2×D6111yescharacteristic, complemented
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#394—611no—
978#394—611no—
979#394—611no—
980#394—611no—
981#394—611no—
982#394—611no—
983#394—611no—
984#394—611no—
985#394—611no—
986#394—611no—
987#394—611no—
988#394—611no—
989#394—611no—
990#394—611no—
991#394—611no—
992#394—611no—
993#394—611no—
994#394—611no—
995#394—611no—
996#394—611no—
997#394—611no—
998#394—611no—
999#394—611no—
1000#394—611no—
1001#394—611no—
1002#394—611no—
1003#394—611no—
1004#394C2×D6111yescharacteristic, complemented
1005#394C2×D6111yescharacteristic, complemented
1006#394C2×D6111yescharacteristic, complemented
1007#394C2×D6111yescharacteristic, complemented
1008#394C2×D6111yescharacteristic, complemented
1009#392—611no—
1010#392—611no—
1011#392—611no—
1012#392—611no—
1013#392—611no—
1014#392—611no—
1015#392—611no—
1016#392C2×D6111yescharacteristic
1017#390—611no—
1018#390—611no—
1019#390—611no—
1020#390—611no—
1021#390—611no—
1022#390—611no—
1023#390—611no—
1024#390C2×D6111yescharacteristic, complemented
1025#388—611no—
1026#388—611no—
1027#388—611no—
1028#388—611no—
1029#388—611no—
1030#388—611no—
1031#388—611no—
1032#388C2×D6111yescharacteristic, complemented
1033#387—611no—
1034#387—611no—
1035#387—611no—
1036#387—611no—
1037#387—611no—
1038#387—611no—
1039#387—611no—
1040#387C2×D6111yescharacteristic, complemented
1041C2×#95—611no—
1042C2×#95—611no—
1043C2×#95—611no—
1044C2×#95—611no—
1045C2×#95—611no—
1046C2×#95—611no—
1047C2×#95—611no—
1048C2×#95—611no—
1049C61C2×#282911yescharacteristic, complemented, Sylow
1050C25—611no—
1051C25—611no—
1052C25—611no—
1053C22×D4—611no—
1054C22×D4—611no—
1055C22×D4—611no—
1056C22×D4—611no—
1057C22×D4—611no—
1058C22×D4—611no—
1059C22×D4—611no—
1060C22×D4—611no—
1061C22×D4—611no—
1062C22×D4—1224no—
1063C22×D4—2442no—
1064C22×D4—2442no—
1065C22×D4—2442no—
1066C22×D4—2442no—
1067C22×D4—2442no—
1068C22×D4—2442no—
1069C22×D4—2442no—
1070C22×D4—2442no—
1071C22×D4C22×D6111yescharacteristic
1072C22×D4C22×D6111yescharacteristic
1073C22×D4C22×D6111yescharacteristic
1074C23×C4—611no—
1075C23×C4—611no—
1076C23×C4—611no—
1077C23×C4—611no—
1078C23×C4—611no—
1079C23×C4—611no—
1080C23×C4—611no—
1081C23×C4—611no—
1082C23×C4—611no—
1083C23×C4—611no—
1084C23×C4—611no—
1085C23×C4—611no—
1086C2×C4⋊C4—611no—
1087C2×C4⋊C4—611no—
1088C2×C4⋊C4—611no—
1089C2×C4⋊C4—611no—
1090C2×C4⋊C4—611no—
1091C2×C4⋊C4—611no—
1092C2×C4⋊C4—611no—
1093C2×C4⋊C4—611no—
1094C2×C4⋊C4—611no—
1095C2×C4⋊C4—611no—
1096C2×C4⋊C4—611no—
1097C2×C4⋊C4—611no—
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—1224no—
1111C2×C4⋊C4—2442no—
1112C2×C4⋊C4—2442no—
1113C2×C4⋊C4—2442no—
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×C4⋊C4C22×D6111yescharacteristic
1124C2×C4⋊C4C22×D6111yescharacteristic
1125C2×C4⋊C4C22×D6111yescharacteristic
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—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—1224no—
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⋊C4—2442no—
1180C2×C22⋊C4—2442no—
1181C2×C22⋊C4—2442no—
1182C2×C22⋊C4—2442no—
1183C2×C22⋊C4—2442no—
1184C2×C22⋊C4—2442no—
1185C2×C22⋊C4—2442no—
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×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×C22⋊C4C22×D6111yescharacteristic
1201C2×C42—611no—
1202C2×C42—611no—
1203C2×C42—611no—
1204C2×C42—2442no—
1205C2×C42C22×D6111yescharacteristic
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#95C22×D6111yescharacteristic
1231#95C22×D6111yescharacteristic
1232#95C22×D6111yescharacteristic
1233#95C22×D6111yescharacteristic
1234#95C22×D6111yescharacteristic
1235#95C22×D6111yescharacteristic
1236#95C22×D6111yescharacteristic
1237#95C22×D6111yescharacteristic
1238C24—611no—
1239C24—611no—
1240C24—611no—
1241C24—611no—
1242C24—1222no—
1243C24—1222no—
1244C24—1222no—
1245C24—1222no—
1246C24—1222no—
1247C24—1222no—
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—
1263C24C23×D6111yescharacteristic
1264C24C23×D6111yescharacteristic
1265C24C23×D6111yescharacteristic
1266C2×D4—22no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—1222no—
1276C2×D4—1222no—
1277C2×D4—1222no—
1278C2×D4—2441no—
1279C2×D4—2441no—
1280C2×D4—2441no—
1281C2×D4—2441no—
1282C2×D4—2441no—
1283C2×D4—2441no—
1284C2×D4—2441no—
1285C2×D4—2441no—
1286C2×D4—24416no—
1287C2×D4—2441no—
1288C2×D4—2441no—
1289C2×D4—2441no—
1290C2×D4—2441no—
1291C2×D4—2441no—
1292C2×D4—2441no—
1293C2×D4—2441no—
1294C2×D4—2441no—
1295C2×D4—2441no—
1296C2×D4—2441no—
1297C2×D4—2441no—
1298C2×D4—2441no—
1299C2×D4—2441no—
1300C2×D4—2441no—
1301C2×D4—2441no—
1302C2×D4—2441no—
1303C2×D4—24416no—
1304C2×D4—24416no—
1305C22×C4—611no—
1306C22×C4—614no—
1307C22×C4—611no—
1308C22×C4—611no—
1309C22×C4—611no—
1310C22×C4—611no—
1311C22×C4—611no—
1312C22×C4—611no—
1313C22×C4—611no—
1314C22×C4—611no—
1315C22×C4—611no—
1316C22×C4—611no—
1317C22×C4—611no—
1318C22×C4—1222no—
1319C22×C4—1222no—
1320C22×C4—1222no—
1321C22×C4—1222no—
1322C22×C4—1222no—
1323C22×C4—1222no—
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×C4C23×D6111yescharacteristic
1354C22×C4C23×D6111yescharacteristic
1355C22×C4C23×D6111yescharacteristic
1356C22×C4C23×D6111yescharacteristic
1357C22×C4C23×D6111yescharacteristic
1358C22×C4C23×D6111yescharacteristic
1359C22×C4C23×D6111yescharacteristic
1360C22×C4C23×D6111yescharacteristic
1361C22×C4C23×D6111yescharacteristic
1362C22×C4C23×D6111yescharacteristic
1363C22×C4C23×D6111yescharacteristic
1364C22×C4C23×D6111yescharacteristic
1365C4⋊C4—22no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—1222no—
1374C4⋊C4—1222no—
1375C4⋊C4—1222no—
1376C4⋊C4—2441no—
1377C4⋊C4—2441no—
1378C4⋊C4—2441no—
1379C4⋊C4—2441no—
1380C4⋊C4—2441no—
1381C4⋊C4—2441no—
1382C4⋊C4—2441no—
1383C4⋊C4—2441no—
1384C4⋊C4—2441no—
1385C4⋊C4—2441no—
1386C4⋊C4—2441no—
1387C4⋊C4—2441no—
1388C4⋊C4—2441no—
1389C4⋊C4—2441no—
1390C4⋊C4—2441no—
1391C4⋊C4—2441no—
1392C4⋊C4—2441no—
1393C4⋊C4—2441no—
1394C4⋊C4—2441no—
1395C4⋊C4—2441no—
1396C4⋊C4—2441no—
1397C22⋊C4—22no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—1222no—
1413C22⋊C4—1222no—
1414C22⋊C4—1222no—
1415C22⋊C4—2441no—
1416C22⋊C4—2441no—
1417C22⋊C4—2441no—
1418C22⋊C4—2441no—
1419C22⋊C4—2441no—
1420C22⋊C4—2441no—
1421C22⋊C4—2441no—
1422C22⋊C4—2441no—
1423C22⋊C4—2441no—
1424C22⋊C4—2441no—
1425C22⋊C4—2441no—
1426C22⋊C4—2441no—
1427C22⋊C4—2441no—
1428C22⋊C4—2441no—
1429C22⋊C4—2441no—
1430C22⋊C4—2441no—
1431C22⋊C4—2441no—
1432C22⋊C4—2441no—
1433C22⋊C4—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—
1457C42—41no—
1458C42—2441no—
1459C42—2441no—
1460C42—2441no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
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—612no—
1483C23—612no—
1484C23—612no—
1485C23—612no—
1486C23—612no—
1487C23—612no—
1488C23—612no—
1489C23—1221no—
1490C23—1221no—
1491C23—1221no—
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—2444no—
1511C23—2444no—
1512C23—2444no—
1513C23—2444no—
1514C23—2444no—
1515C23—2444no—
1516C23—2444no—
1517C23—2444no—
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—
1531C23C24×D6111yescharacteristic
1532D4—44no—
1533D4—44no—
1534D4—44no—
1535D4—2444no—
1536D4—2444no—
1537D4—2444no—
1538D4—2444no—
1539D4—2444no—
1540D4—2444no—
1541D4—2444no—
1542D4—2444no—
1543D4—2444no—
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—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—612no—
1580C2×C4—1228no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
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—1221no—
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×C4—2444no—
1626C2×C4—2444no—
1627C2×C4#41×D6112yes—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—614no—
1650C22—614no—
1651C22—614no—
1652C22—614no—
1653C22—614no—
1654C22—614no—
1655C22—614no—
1656C22—4888no—
1657C22—4888no—
1658C22—4888no—
1659C22—2441no—
1660C22—2441no—
1661C22—2441no—
1662C22—2441no—
1663C22—2441no—
1664C22—2441no—
1665C22—2441no—
1666C22—2441no—
1667C22—2441no—
1668C22—2441no—
1669C22—2441no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22—2441no—
1674C22—2441no—
1675C22—2441no—
1676C22—2441no—
1677C22—2441no—
1678C22—2441no—
1679C22—2441no—
1680C22C2×#41×D6111yescharacteristic
1681C22H(5,𝔽2)×D6111yescharacteristic
1682C22H(5,𝔽2)×D6111yescharacteristic
1683C22H(5,𝔽2)×D6111yescharacteristic
1684C22H(5,𝔽2)×D6111yescharacteristic
1685C22H(5,𝔽2)×D6111yescharacteristic
1686C222−1+4×D6111yescharacteristic
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—1222no—
1700C4—2441no—
1701C4—2441no—
1702C4—2441no—
1703C4—2441no—
1704C4—2441no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C4—2441no—
1711C2—81no—
1712C2—81no—
1713C2—81no—
1714C2—618no—
1715C2—4881no—
1716C2—4881no—
1717C2—4881no—
1718C2#538×D6111yescharacteristic
1719C2#540×D6111yescharacteristic
1720C2#542×D6111yescharacteristic
1721C2#560×D6111yescharacteristic
1722C2#560×D6111yescharacteristic
1723C2#562×D6111yescharacteristic
1724C2#562×D6111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2829C2
prime radical#392×D61C2
hypercenter#2829D61
hypocenterC61C2×#2829
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2829

Complements

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

NH ≅ G/Ntype
1. #21453958C2semidirect
2. #21453957C2semidirect
3. #21453956C2semidirect
4. #21453955C2semidirect
5. #21453954C2semidirect
6. #21453953C2semidirect
7. #21453952C2semidirect
8. #21453951C2semidirect
9. #21453950C2semidirect
10. #21453949C2semidirect
11. #21453948C2semidirect
12. #21453947C2semidirect
13. #21453946C2semidirect
14. #21453945C2semidirect
15. #21453944C2semidirect
16. #399×D61C2semidirect
17. #398×D61C2semidirect
18. #397×D61C2semidirect
19. #397×D61C2semidirect
20. #396×D61C2semidirect
21. #396×D61C2semidirect
22. #394×D61C2semidirect
23. #394×D61C2semidirect
24. #394×D61C2semidirect
25. #394×D61C2semidirect
26. #394×D61C2semidirect
28. #390×D61C2semidirect
29. #388×D61C2semidirect
30. #387×D61C2semidirect
31. C61×#2829C2semidirect
59. #16839699C22semidirect
60. #16839698C22semidirect
61. #16839698C22semidirect
62. #16839698C22semidirect
63. #16839697C22semidirect
64. #16839697C22semidirect
65. #16839697C22semidirect
66. #16839696C22semidirect
67. #16839696C22semidirect
68. #16839695C22semidirect
69. #16839695C22semidirect
70. #16839694C22semidirect
71. #16839693C22semidirect
72. #16839692C22semidirect
73. #16839691C22semidirect
74. #16839691C22semidirect
75. #16839691C22semidirect
76. #16839691C22semidirect
77. #16839690C22semidirect
78. #16839690C22semidirect
79. #16839690C22semidirect
80. #16839690C22semidirect
81. #16839689C22semidirect
82. #16839689C22semidirect
83. #16839688C22semidirect
84. #16839688C22semidirect
85. #16839687C22semidirect
86. #16839687C22semidirect
87. #16839686C22semidirect
88. #16839686C22semidirect
89. #16839685C22semidirect
90. #16839685C22semidirect
91. #16839685C22semidirect
92. #16839685C22semidirect
93. #16839685C22semidirect
94. #16839685C22semidirect
95. #16839684C22semidirect
96. #16839684C22semidirect
97. #16839684C22semidirect
98. #16839684C22semidirect
99. #16839684C22semidirect
100. #16839684C22semidirect
101. #16839680C22semidirect
102. #16839680C22semidirect
103. #16839680C22semidirect
104. #16839680C22semidirect
105. #16839680C22semidirect
106. #16839679C22semidirect
107. #16839679C22semidirect
108. #16839679C22semidirect
109. #16839679C22semidirect
110. #16839679C22semidirect
111. #16839678C22semidirect
112. #16839678C22semidirect
113. #16839678C22semidirect
114. #16839678C22semidirect
115. #16839678C22semidirect
116. #16839678C22semidirect
117. #16839678C22semidirect
118. #16839678C22semidirect
119. #16839678C22semidirect
120. #16839678C22semidirect
121. #16839677C22semidirect
122. #16839677C22semidirect
123. #16839677C22semidirect
124. #16839677C22semidirect
125. #16839677C22semidirect
126. #16839677C22semidirect
127. #16839677C22semidirect
128. #16839677C22semidirect
129. #16839677C22semidirect
130. #16839677C22semidirect
131. #16839676C22semidirect
132. #16839676C22semidirect
133. #16839676C22semidirect
134. #16839676C22semidirect
135. #16839676C22semidirect
143. #16839665C22semidirect
144. #16839664C22semidirect
145. #16839663C22semidirect
146. #16839662C22semidirect
147. #16839662C22semidirect
148. #16839662C22semidirect
149. #16839662C22semidirect
150. #16839656C22semidirect
151. #16839655C22semidirect
152. #16839654C22semidirect
153. #16839653C22semidirect
154. #16839652C22semidirect
155. #16839651C22semidirect
156. #16839650C22semidirect
157. #16839649C22semidirect
158. #16839648C22semidirect
159. #16839647C22semidirect
160. #16839646C22semidirect
161. #16839645C22semidirect
162. #16839644C22semidirect
163. #16839643C22semidirect
172. C61×#399C22semidirect
173. C61×#398C22semidirect
174. C61×#397C22semidirect
175. C61×#397C22semidirect
176. C61×#396C22semidirect
177. C61×#396C22semidirect
178. C61×#394C22semidirect
179. C61×#394C22semidirect
180. C61×#394C22semidirect
181. C61×#394C22semidirect
182. C61×#394C22semidirect
184. C61×#390C22semidirect
185. C61×#388C22semidirect
186. C61×#387C22semidirect
864. #2829D61direct (N × H)
893. D61#2829direct (N × H)
928. #399C2×D61semidirect
936. #398C2×D61semidirect
951. #397C2×D61semidirect
952. #397C2×D61semidirect
967. #396C2×D61semidirect
968. #396C2×D61semidirect
1004. #394C2×D61semidirect
1005. #394C2×D61semidirect
1006. #394C2×D61semidirect
1007. #394C2×D61semidirect
1008. #394C2×D61semidirect
1024. #390C2×D61semidirect
1032. #388C2×D61semidirect
1040. #387C2×D61semidirect
1049. C61C2×#2829semidirect

Maximal subgroups

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

subgroupindex
#214539582
#214539572
#214539562
#214539552
#214539542
#214539532
#214539522
#214539512
#214539502
#214539492
#214539482
#214539472
#214539462
#214539452
#214539442
#399×D612
#398×D612
#397×D612
#396×D612
#394×D612
#392×D612
#390×D612
#388×D612
#387×D612
C61×#28292
C2×#282961