Finite Group Databasebeta

← #29888913

Subgroups — #29888913

Order 15616.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454114C211yesmaximal, characteristic, complemented
2#21454102C211yesmaximal, characteristic, complemented
3#21453670C211yesmaximal, characteristic, complemented
4#21453142C211yesmaximal, characteristic, complemented
5#21453091C211yesmaximal, characteristic, complemented
6#21453082C211yesmaximal, characteristic, complemented
7#21453047C211yesmaximal, characteristic, complemented
8#21452926C211yesmaximal, characteristic, complemented
9#21452551C211yesmaximal, characteristic, complemented
10#21452545C211yesmaximal, characteristic, complemented
11#21452513C211yesmaximal, characteristic, complemented
12#21452464C211yesmaximal, characteristic, complemented
13#21452403C211yesmaximal, characteristic, complemented
14#21452248C211yesmaximal, characteristic, complemented
15#21452088C211yesmaximal, characteristic, complemented
16#21452082C211yesmaximal, characteristic, complemented
17#21452058C211yesmaximal, characteristic, complemented
18#21451593C211yesmaximal, characteristic, complemented
19#21451554C211yesmaximal, characteristic, complemented
20#21451042C211yesmaximal, characteristic, complemented
21#21450780C211yesmaximal, characteristic, complemented
22#21449455C211yesmaximal, characteristic, complemented
23#21449360C211yesmaximal, characteristic, complemented
24#21449350C211yesmaximal, characteristic, complemented
25#21449286C211yesmaximal, characteristic, complemented
26#21449282C211yesmaximal, characteristic, complemented
27#21449170C211yesmaximal, characteristic, complemented
28#21448518C211yesmaximal, characteristic, complemented
29#21448451C211yesmaximal, characteristic, complemented
30#386×D61C211yesmaximal, characteristic, complemented
31C61×#2786C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C2×#14519774C2211yescharacteristic
35C2×#14519773C2211yescharacteristic
36C2×#14519762C2211yescharacteristic, complemented
37C2×#14519762C2211yescharacteristic, complemented
38C2×#14519759C2211yescharacteristic, complemented
39C2×#14519759C2211yescharacteristic, complemented
40C2×#14519752C2211yescharacteristic
41C2×#14519752C2211yescharacteristic
42C2×#14519752C2211yescharacteristic
43C2×#14519752C2211yescharacteristic, complemented
44C2×#14519752C2211yescharacteristic, complemented
45C2×#14519751C2211yescharacteristic, complemented
46C2×#14519750C2211yescharacteristic
47C2×#14519750C2211yescharacteristic
48C2×#14519750C2211yescharacteristic, complemented
49C2×#14519747C2211yescharacteristic
50C2×#14519747C2211yescharacteristic
51C2×#14519747C2211yescharacteristic
52C2×#14519747C2211yescharacteristic
53C2×#14519747C2211yescharacteristic
54C2×#14519747C2211yescharacteristic
55C2×C4×D244C2211yescharacteristic
56C2×#14519739C2211yescharacteristic
57C2×#14519739C2211yescharacteristic
58C2×C22⋊C4×D61C2211yescharacteristic
59C2×C22⋊C4×D61C2211yescharacteristic
60C2×C22⋊C4×D61C2211yescharacteristic
61#16839703C2211yescharacteristic, complemented
62#16839703C2211yescharacteristic, complemented
63#16839699C2211yescharacteristic, complemented
64#16839697C2211yescharacteristic, complemented
65#16839695C2211yescharacteristic, complemented
66#16839692C2211yescharacteristic, complemented
67#16839691C2211yescharacteristic, complemented
68#16839690C2211yescharacteristic, complemented
69#16839689C2211yescharacteristic, complemented
70#16839688C2211yescharacteristic, complemented
71#16839688C2211yescharacteristic, complemented
72#16839687C2211yescharacteristic, complemented
73#16839684C2211yescharacteristic, complemented
74#16839680C2211yescharacteristic, complemented
75#16839680C2211yescharacteristic, complemented
76#16839680C2211yescharacteristic, complemented
77#16839680C2211yescharacteristic, complemented
78#16839680C2211yescharacteristic, complemented
79#16839679C2211yescharacteristic
80#16839679C2211yescharacteristic, complemented
81#16839679C2211yescharacteristic, complemented
82#16839679C2211yescharacteristic, complemented
83#16839679C2211yescharacteristic, complemented
84#16839678C2211yescharacteristic, complemented
85#16839678C2211yescharacteristic, complemented
86#16839678C2211yescharacteristic, complemented
87#16839678C2211yescharacteristic, complemented
88#16839677C2211yescharacteristic, complemented
89#16839677C2211yescharacteristic, complemented
90#16839677C2211yescharacteristic, complemented
91#16839677C2211yescharacteristic, complemented
92#16839672C2211yescharacteristic
93#16839672C2211yescharacteristic, complemented
94#16839672C2211yescharacteristic, complemented
95#16839672C2211yescharacteristic, complemented
96#16839671C2211yescharacteristic
97#16839671C2211yescharacteristic
98#16839671C2211yescharacteristic
99#16839671C2211yescharacteristic
100#16839671C2211yescharacteristic, complemented
101#16839671C2211yescharacteristic, complemented
102#16839670C2211yescharacteristic
103#16839664C2211yescharacteristic, complemented
104#16839663C2211yescharacteristic
105#16839662C2211yescharacteristic
106#16839662C2211yescharacteristic
107#16839662C2211yescharacteristic, complemented
108#16839654C2211yescharacteristic, complemented
109#16839653C2211yescharacteristic, complemented
110#16839653C2211yescharacteristic, complemented
111#16839653C2211yescharacteristic, complemented
112#16839652C2211yescharacteristic, complemented
113#16839652C2211yescharacteristic, complemented
114#16839652C2211yescharacteristic, complemented
115#16839651C2211yescharacteristic, complemented
116#16839651C2211yescharacteristic, complemented
117#16839650C2211yescharacteristic, complemented
118#16839648C2211yescharacteristic, complemented
119#16839648C2211yescharacteristic, complemented
120#16839646C2211yescharacteristic, complemented
121#16839645C2211yescharacteristic, complemented
122#16839645C2211yescharacteristic, complemented
123#16839642C2211yescharacteristic
124#16839641C2211yescharacteristic
125#16839641C2211yescharacteristic, complemented
126#16839640C2211yescharacteristic
127#16839640C2211yescharacteristic
128#16839640C2211yescharacteristic
129#16839640C2211yescharacteristic
130#16839640C2211yescharacteristic
131#16839640C2211yescharacteristic
132#16839640C2211yescharacteristic
133#16839640C2211yescharacteristic
134#16839640C2211yescharacteristic, complemented
135#16839640C2211yescharacteristic, complemented
136#16839640C2211yescharacteristic, complemented
137#16839640C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839640C2211yescharacteristic, complemented
140#16839640C2211yescharacteristic, complemented
141#16839640C2211yescharacteristic, complemented
142#16839640C2211yescharacteristic, complemented
143#16839639C2211yescharacteristic
144#16839639C2211yescharacteristic, complemented
145#16839639C2211yescharacteristic, complemented
146#16839639C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic
148#16839638C2211yescharacteristic
149#16839638C2211yescharacteristic, complemented
150#16839636C2211yescharacteristic
151#16839636C2211yescharacteristic
152#16839636C2211yescharacteristic, complemented
153#16839634C2211yescharacteristic, complemented
154#16839633C2211yescharacteristic
155#16839633C2211yescharacteristic
156#16839633C2211yescharacteristic, complemented
157#16839629C2211yescharacteristic, complemented
158#16839626C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic, complemented
160#16839624C2211yescharacteristic, complemented
161#16839624C2211yescharacteristic, complemented
162#16839621C2211yescharacteristic
163#16839621C2211yescharacteristic
164#16839619C2211yescharacteristic
165#16839619C2211yescharacteristic, complemented
166#16839619C2211yescharacteristic, complemented
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic
169C4×#11758198C2211yescharacteristic
170#95×D61C2211yescharacteristic
171#95×D61C2211yescharacteristic
172C61×#398C2211yescharacteristic, complemented
173C61×#397C2211yescharacteristic, complemented
174C61×#397C2211yescharacteristic, complemented
175C61×#397C2211yescharacteristic, complemented
176C61×#396C2211yescharacteristic, complemented
177C61×#394C2211yescharacteristic
178C61×#390C2211yescharacteristic
179C61×#388C2211yescharacteristic, complemented
180C61×#388C2211yescharacteristic, complemented
181C61×#387C2211yescharacteristic, complemented
182C61×#387C2211yescharacteristic, complemented
183C61×#387C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic
185C61×#385C2211yescharacteristic, complemented
186C61×#380C2211yescharacteristic, complemented
187C24×D61C2311yescharacteristic
188C24×D61C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C2×D4×D61—24no—
211C2×D4×D61—42no—
212C2×D4×D61—42no—
213C23×Dic61C2311yescharacteristic
214C22×C4×D61—42no—
215C22×C4×D61—42no—
216C22×C4×D61—42no—
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
226C22×C4×D61C2311yescharacteristic
227#14519774—42no—
228#14519773—42no—
229#14519762—42no—
230#14519762—42no—
231#14519759—42no—
232#14519759—42no—
233#14519752—24no—
234#14519752—42no—
235#14519752—42no—
236#14519752—42no—
237#14519752—42no—
238#14519751—42no—
239#14519750—42no—
240#14519750—42no—
241#14519750—42no—
242#14519747—42no—
243#14519747—42no—
244#14519747—42no—
245#14519747—42no—
246#14519747—42no—
247#14519747—42no—
248C4×D244—42no—
249#14519739—24no—
250#14519739—42no—
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×C4⋊Dic61C2311yescharacteristic
254C2×C4⋊Dic61C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
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
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C22⋊C4×D61—42no—
311C22⋊C4×D61—42no—
312C22⋊C4×D61—42no—
313C2×C4×Dic61C2311yescharacteristic
314C2×C4×Dic61C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
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
341C23×C4×C61C2311yescharacteristic
342C2×C4⋊C4×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×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×C42×C61C2311yescharacteristic
362C2×C42×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×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
377C23×D61—22no—
378C23×D61—22no—
379C23×D61—22no—
380C23×D61—22no—
381C23×D61—22no—
382C23×D61—22no—
383C23×D61—22no—
384C23×D61—22no—
385C23×D61—41no—
386C23×D61—41no—
387C23×D61—41no—
388C23×D61—41no—
389C23×D61—41no—
390C23×D61—41no—
391C23×D61C2411yescharacteristic
392C23×D61C2411yescharacteristic
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C2×D4×C61—22no—
398C2×D4×C61—22no—
399C2×D4×C61—41no—
400C22×C4×C61—22no—
401C22×C4×C61—41no—
402C22×C4×C61—41no—
403C22×C4×C61C2411yescharacteristic
404C22×C4×C61C2411yescharacteristic
405C22×C4×C61C2411yescharacteristic
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C2×C22⋊D61—22no—
417C2×C22⋊D61—22no—
418C2×C22⋊D61—22no—
419C2×C22⋊D61—22no—
420C2×C22⋊D61—22no—
421C2×C22⋊D61—22no—
422C2×C22⋊D61—22no—
423C2×C22⋊D61—41no—
424C2×C22⋊D61—41no—
425C2×C22⋊D61—41no—
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—
440C22×Dic61—41no—
441C22×Dic61—41no—
442C22×Dic61—41no—
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C22×Dic61C2411yescharacteristic
446C22×Dic61C2411yescharacteristic
447C22×Dic61C2411yescharacteristic
448C22×Dic61C2411yescharacteristic
449C22×Dic61C2411yescharacteristic
450C22×Dic61C2411yescharacteristic
451C22×Dic61C2411yescharacteristic
452C22×Dic61C2411yescharacteristic
453D4×D61—416no—
454C2×D244—22no—
455C2×D244—22no—
456C2×D244—22no—
457C2×D244—22no—
458C2×D244—22no—
459C2×D244—22no—
460C2×D244—22no—
461C2×D244—22no—
462C2×D244—22no—
463C2×D244—22no—
464C2×D244—22no—
465C2×D244—22no—
466C2×D244—22no—
467C2×D244—22no—
468C2×D244—22no—
469C2×D244—22no—
470C2×D244—41no—
471C2×D244—41no—
472C2×D244—41no—
473C2×D244—41no—
474C2×D244—41no—
475C2×D244—41no—
476C2×D244—41no—
477C2×D244—41no—
478C2×D244—41no—
479C2×D244—41no—
480C2×D244—41no—
481C2×D244—41no—
482C2×D244—41no—
483C2×D244—41no—
484C2×D244—41no—
485C2×D244—41no—
486C2×D244—41no—
487C2×D244—41no—
488C2×D244—41no—
489C2×D244—41no—
490C2×D244—41no—
491C2×D244—41no—
492C2×D244—41no—
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—41no—
503C2×C4×D61—41no—
504C2×C4×D61—41no—
505C2×C4×D61—41no—
506C2×C4×D61—41no—
507C2×C4×D61—41no—
508C2×C4×D61—41no—
509C2×C4×D61—41no—
510C2×C4×D61—416no—
511C2×C4×D61—41no—
512C2×C4×D61—41no—
513C2×C4×D61—41no—
514C2×C4×D61—41no—
515C2×C4×D61—41no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61#4114yes—
524C4⋊C4×C61—22no—
525C4⋊C4×C61—22no—
526C4⋊C4×C61—22no—
527C4⋊C4×C61—41no—
528C4⋊C4×C61—41no—
529C4⋊C4×C61—41no—
530C4⋊C4×C61—41no—
531C4⋊C4×C61—41no—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—22no—
534C22⋊C4×C61—22no—
535C22⋊C4×C61—41no—
536C22⋊C4×C61—41no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊C4×C61—41no—
542C22⋊C4×C61—41no—
543C42×C61—41no—
544C42×C61—41no—
545C22⋊Dic61—22no—
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—22no—
559#11758198—22no—
560#11758198—22no—
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—
578#11758198—41no—
579#11758198—41no—
580#11758198—41no—
581#11758198—41no—
582#11758198—41no—
583#11758198—41no—
584#11758198—41no—
585#11758198—41no—
586#11758198—41no—
587#11758198—41no—
588#11758198—41no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592C4⋊Dic61—22no—
593C4⋊Dic61—41no—
594C4⋊Dic61—41no—
595C4⋊Dic61—41no—
596#11758196—41no—
597#11758196—41no—
598#11758196—41no—
599#11758196—41no—
600#11758196—41no—
601#11758196—41no—
602#11758196—41no—
603#11758196—41no—
604C4×Dic61—22no—
605C4×Dic61—41no—
606C4×Dic61—41no—
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×C61—21no—
620C23×C61H(5,𝔽2)12yes—
621C23×C61C2511yescharacteristic
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—28no—
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—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—21no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—44no—
662C22×D61—44no—
663C22×D61—44no—
664C22×D61—44no—
665C22×D61—44no—
666C22×D61—44no—
667C22×D61—44no—
668C22×D61—44no—
669C22×D61—44no—
670C22×D61—82no—
671C22×D61—82no—
672C22×D61—82no—
673C22×D61—82no—
674C22×D61C2×#4112yes—
675C22×D61H(5,𝔽2)12yes—
676C22×D61H(5,𝔽2)12yes—
677C22×D61H(5,𝔽2)12yes—
678D4×C61—44no—
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—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—44no—
717C2×C4×C61C2×#4112yes—
718C2×C4×C61H(5,𝔽2)12yes—
719C22⋊D61—44no—
720C22⋊D61—44no—
721C22⋊D61—82no—
722C22⋊D61—82no—
723C22⋊D61—82no—
724C22⋊D61—82no—
725C22⋊D61—82no—
726C22⋊D61—82no—
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—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—44no—
757C2×Dic61C2×#4112yes—
758D244—44no—
759D244—44no—
760D244—44no—
761D244—44no—
762D244—82no—
763D244—82no—
764D244—82no—
765D244—82no—
766D244—82no—
767D244—82no—
768D244—82no—
769D244—82no—
770D244—82no—
771C4×D61—44no—
772C4×D61—44no—
773C4×D61—44no—
774C4×D61—44no—
775C4×D61—44no—
776C4×D61—82no—
777C4×D61—82no—
778C4×D61—82no—
779C4×D61—82no—
780C4×D61—82no—
781#36794—611nomaximal, Sylow
782C22×C61—22no—
783C22×C61—22no—
784C22×C61—22no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61C22×#4111yescharacteristic
797C22×C61C2×H(5,𝔽2)11yescharacteristic
798C22×C61C2×H(5,𝔽2)11yescharacteristic
799C22×C61C2×H(5,𝔽2)11yescharacteristic
800C22×C61C2×H(5,𝔽2)11yescharacteristic
801C22×C61C2×H(5,𝔽2)11yescharacteristic
802C22×C61#58511yescharacteristic
803C2×D61—22no—
804C2×D61—22no—
805C2×D61—22no—
806C2×D61—22no—
807C2×D61—22no—
808C2×D61—22no—
809C2×D61—22no—
810C2×D61—22no—
811C2×D61—22no—
812C2×D61—416no—
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—41no—
822C2×D61—41no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—88no—
846C2×D61#54014yes—
847C4×C61—22no—
848C4×C61—22no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855C4×C61—41no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860Dic61—22no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870#2849—611no—
871#2847—611no—
872#2797—611no—
873#2786D6111yescharacteristic, complemented
874#2756—611no—
875#2753—611no—
876#2752—611no—
877#2749—611no—
878#2740—611no—
879#2709—611no—
880#2709—611no—
881#2706—611no—
882#2703—611no—
883#2699—611no—
884#2688—611no—
885#2673—611no—
886#2673—611no—
887#2671—611no—
888#2622—611no—
889#2617—611no—
890#2569—611no—
891#2543—611no—
892#2433—611no—
893#2424—611no—
894#2424—611no—
895#2418—611no—
896#2418—611no—
897#2408—611no—
898#2325—611no—
899#2318—611no—
900C2×#386—611no—
901C2×C61—42no—
902C2×C61—81no—
903C2×C61C2×#54011yescharacteristic
904C2×C61#349011yescharacteristic
905C2×C61#350611yescharacteristic
906C2×C61#353211yescharacteristic
907C2×C61#353411yescharacteristic
908C2×C61#353411yescharacteristic
909C2×C61#353711yescharacteristic
910D61—24no—
911D61—42no—
912D61—81no—
913D61—81no—
914D61—81no—
915D61—81no—
916C23×D4—611no—
917C24×C4—611no—
918C2×#127—611no—
919C2×#127—611no—
920C2×#123—611no—
921C2×#123—611no—
922C2×#123—611no—
923C2×#123—611no—
924C2×#121—611no—
925C2×#121—611no—
926C2×#121—611no—
927C2×#121—611no—
928C2×#121—611no—
929C2×#121—611no—
930C2×#121—611no—
931C2×#121—611no—
932C2×#121—611no—
933C2×#120—611no—
934C2×#120—611no—
935C2×#120—611no—
936C2×#120—611no—
937C2×#120—611no—
938C2×#120—611no—
939C2×C4×D4—611no—
940C2×C4×D4—611no—
941C2×C4×D4—611no—
942C22×C22⋊C4—611no—
943C22×C22⋊C4—611no—
944C22×C22⋊C4—611no—
945#400—611no—
946#400—611no—
947#399—611no—
948#399—611no—
949#398—611no—
950#398—611no—
951#398C2×D6111yescharacteristic, complemented
952#397—611no—
953#397—611no—
954#397—611no—
955#397—611no—
956#397—611no—
957#397—611no—
958#397C2×D6111yescharacteristic, complemented
959#397C2×D6111yescharacteristic, complemented
960#397C2×D6111yescharacteristic, complemented
961#396—611no—
962#396C2×D6111yescharacteristic, complemented
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#394—611no—
978#394—611no—
979#394—611no—
980#394—611no—
981#394C2×D6111yescharacteristic
982#392—611no—
983#392—611no—
984#392—611no—
985#392—611no—
986#392—611no—
987#392—611no—
988#392—611no—
989#392—611no—
990#392—611no—
991#392—611no—
992#392—611no—
993#390—611no—
994#390—611no—
995#390—611no—
996#390—611no—
997#390—611no—
998#390C2×D6111yescharacteristic
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#388C2×D6111yescharacteristic, complemented
1010#388C2×D6111yescharacteristic, complemented
1011#387—611no—
1012#387—611no—
1013#387—611no—
1014#387—611no—
1015#387—611no—
1016#387C2×D6111yescharacteristic, complemented
1017#387C2×D6111yescharacteristic, complemented
1018#387C2×D6111yescharacteristic, complemented
1019#386—611no—
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#386—611no—
1035#386—611no—
1036#386—611no—
1037#386—611no—
1038#386—611no—
1039#386—611no—
1040#386—611no—
1041#386—611no—
1042#386—611no—
1043#386—611no—
1044#386—611no—
1045#386—611no—
1046#386C2×D6111yescharacteristic
1047#385—611no—
1048#385—611no—
1049#385—611no—
1050#385—611no—
1051#385—611no—
1052#385—611no—
1053#385—611no—
1054#385C2×D6111yescharacteristic, complemented
1055#383—611no—
1056#382—611no—
1057#381—611no—
1058#381—611no—
1059#381—611no—
1060#380—611no—
1061#380—611no—
1062#380—611no—
1063#380—611no—
1064#380—611no—
1065#380C2×D6111yescharacteristic, complemented
1066#379—611no—
1067#379—611no—
1068C4×C22⋊C4—611no—
1069C2×#95—611no—
1070C2×#95—611no—
1071C61#3679411yescharacteristic, complemented, Sylow
1072C25—611no—
1073C25—611no—
1074C22×D4—611no—
1075C22×D4—611no—
1076C22×D4—611no—
1077C22×D4—611no—
1078C22×D4—611no—
1079C22×D4—611no—
1080C22×D4—611no—
1081C22×D4—611no—
1082C22×D4—611no—
1083C22×D4—611no—
1084C22×D4—611no—
1085C22×D4—611no—
1086C22×D4—611no—
1087C22×D4—611no—
1088C22×D4—611no—
1089C22×D4—611no—
1090C22×D4—611no—
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—611no—
1095C22×D4—1224no—
1096C22×D4—2442no—
1097C22×D4—2442no—
1098C22×D4C22×D6111yescharacteristic
1099C23×C4—611no—
1100C23×C4—611no—
1101C23×C4—611no—
1102C23×C4—611no—
1103C23×C4—611no—
1104C23×C4—611no—
1105C23×C4—611no—
1106C23×C4—611no—
1107C23×C4—611no—
1108C23×C4—611no—
1109C23×C4—611no—
1110C23×C4—2442no—
1111C23×C4—2442no—
1112C23×C4—2442no—
1113C23×C4C22×D6111yescharacteristic
1114#127—2442no—
1115#127—2442no—
1116#123—2442no—
1117#123—2442no—
1118#123—2442no—
1119#123—2442no—
1120#121—1224no—
1121#121—2442no—
1122#121—2442no—
1123#121—2442no—
1124#121—2442no—
1125#121—2442no—
1126#121—2442no—
1127#121—2442no—
1128#121—2442no—
1129#120—2442no—
1130#120—2442no—
1131#120—2442no—
1132#120—2442no—
1133#120—2442no—
1134#120—2442no—
1135C4×D4—1224no—
1136C4×D4—2442no—
1137C4×D4—2442no—
1138C2×C4⋊C4—611no—
1139C2×C4⋊C4—611no—
1140C2×C4⋊C4—611no—
1141C2×C4⋊C4—611no—
1142C2×C4⋊C4—611no—
1143C2×C4⋊C4—611no—
1144C2×C4⋊C4—611no—
1145C2×C4⋊C4—611no—
1146C2×C4⋊C4—611no—
1147C2×C4⋊C4—611no—
1148C2×C4⋊C4—611no—
1149C2×C4⋊C4—611no—
1150C2×C4⋊C4C22×D6111yescharacteristic
1151C2×C4⋊C4C22×D6111yescharacteristic
1152C2×C4⋊C4C22×D6111yescharacteristic
1153C2×C4⋊C4C22×D6111yescharacteristic
1154C2×C4⋊C4C22×D6111yescharacteristic
1155C2×C4⋊C4C22×D6111yescharacteristic
1156C2×C4⋊C4C22×D6111yescharacteristic
1157C2×C4⋊C4C22×D6111yescharacteristic
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—2442no—
1206C2×C22⋊C4—2442no—
1207C2×C22⋊C4—2442no—
1208C2×C22⋊C4C22×D6111yescharacteristic
1209C2×C22⋊C4C22×D6111yescharacteristic
1210C2×C22⋊C4C22×D6111yescharacteristic
1211C2×C22⋊C4C22×D6111yescharacteristic
1212C2×C22⋊C4C22×D6111yescharacteristic
1213C2×C22⋊C4C22×D6111yescharacteristic
1214C2×C22⋊C4C22×D6111yescharacteristic
1215C2×C22⋊C4C22×D6111yescharacteristic
1216C2×C22⋊C4C22×D6111yescharacteristic
1217C2×C22⋊C4C22×D6111yescharacteristic
1218C2×C22⋊C4C22×D6111yescharacteristic
1219C2×C42—611no—
1220C2×C42—611no—
1221C2×C42—611no—
1222C2×C42C22×D6111yescharacteristic
1223C2×C42C22×D6111yescharacteristic
1224#95—611no—
1225#95—611no—
1226#95—611no—
1227#95—611no—
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#95—611no—
1234#95—611no—
1235#95—611no—
1236#95—611no—
1237#95—611no—
1238#95—611no—
1239#95—611no—
1240#95—611no—
1241#95—611no—
1242#95—611no—
1243#95—611no—
1244#95—611no—
1245#95—611no—
1246#95—611no—
1247#95—611no—
1248#95C22×D6111yescharacteristic
1249#95C22×D6111yescharacteristic
1250#95C22×D6111yescharacteristic
1251#95C22×D6111yescharacteristic
1252#95C22×D6111yescharacteristic
1253#95C22×D6111yescharacteristic
1254#95C22×D6111yescharacteristic
1255#95C22×D6111yescharacteristic
1256#95C22×D6111yescharacteristic
1257#95C22×D6111yescharacteristic
1258#95C22×D6111yescharacteristic
1259#95C22×D6111yescharacteristic
1260C24—611no—
1261C24—611no—
1262C24—611no—
1263C24—611no—
1264C24—611no—
1265C24—611no—
1266C24—1222no—
1267C24—1222no—
1268C24—1222no—
1269C24—1222no—
1270C24—1222no—
1271C24—1222no—
1272C24—1222no—
1273C24—1222no—
1274C24—2441no—
1275C24—2441no—
1276C24—2441no—
1277C24—2441no—
1278C24—2441no—
1279C24—2441no—
1280C24C23×D6111yescharacteristic
1281C24C23×D6111yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—41no—
1285C2×D4—1222no—
1286C2×D4—1222no—
1287C2×D4—1222no—
1288C2×D4—1222no—
1289C2×D4—1222no—
1290C2×D4—1222no—
1291C2×D4—1222no—
1292C2×D4—1222no—
1293C2×D4—1222no—
1294C2×D4—1222no—
1295C2×D4—1222no—
1296C2×D4—1222no—
1297C2×D4—1222no—
1298C2×D4—1222no—
1299C2×D4—1222no—
1300C2×D4—1222no—
1301C2×D4—1222no—
1302C2×D4—1222no—
1303C2×D4—1222no—
1304C2×D4—1222no—
1305C2×D4—1222no—
1306C2×D4—1222no—
1307C2×D4—1222no—
1308C2×D4—2441no—
1309C2×D4—2441no—
1310C2×D4—2441no—
1311C2×D4—2441no—
1312C2×D4—2441no—
1313C2×D4—2441no—
1314C2×D4—2441no—
1315C2×D4—2441no—
1316C2×D4—2441no—
1317C2×D4—2441no—
1318C2×D4—2441no—
1319C2×D4—2441no—
1320C2×D4—2441no—
1321C2×D4—2441no—
1322C2×D4—2441no—
1323C2×D4—2441no—
1324C2×D4—2441no—
1325C2×D4—2441no—
1326C2×D4—2441no—
1327C2×D4—2441no—
1328C2×D4—2441no—
1329C2×D4—2441no—
1330C2×D4—2441no—
1331C2×D4—2441no—
1332C2×D4—2441no—
1333C2×D4—2441no—
1334C2×D4—2441no—
1335C2×D4—2441no—
1336C2×D4—2441no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4—2441no—
1340C2×D4—2441no—
1341C2×D4—2441no—
1342C2×D4—2441no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—2441no—
1348C2×D4—24416no—
1349C22×C4—22no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—611no—
1353C22×C4—614no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—1222no—
1364C22×C4—1222no—
1365C22×C4—1222no—
1366C22×C4—1222no—
1367C22×C4—1222no—
1368C22×C4—1222no—
1369C22×C4—1222no—
1370C22×C4—1222no—
1371C22×C4—1222no—
1372C22×C4—2441no—
1373C22×C4—2441no—
1374C22×C4—2441no—
1375C22×C4—2441no—
1376C22×C4—2441no—
1377C22×C4—2441no—
1378C22×C4—2441no—
1379C22×C4—2441no—
1380C22×C4—2441no—
1381C22×C4—2441no—
1382C22×C4—2441no—
1383C22×C4—2441no—
1384C22×C4—2441no—
1385C22×C4—2441no—
1386C22×C4—2441no—
1387C22×C4—2441no—
1388C22×C4—2441no—
1389C22×C4—2441no—
1390C22×C4—2441no—
1391C22×C4—2441no—
1392C22×C4—24416no—
1393C22×C4—2441no—
1394C22×C4—2441no—
1395C22×C4—2441no—
1396C22×C4C23×D6111yescharacteristic
1397C22×C4C23×D6111yescharacteristic
1398C22×C4C23×D6111yescharacteristic
1399C22×C4C23×D6111yescharacteristic
1400C22×C4C23×D6111yescharacteristic
1401C22×C4C23×D6111yescharacteristic
1402C22×C4C23×D6111yescharacteristic
1403C22×C4C23×D6111yescharacteristic
1404C22×C4C23×D6111yescharacteristic
1405C22×C4C23×D6111yescharacteristic
1406C22×C4C23×D6111yescharacteristic
1407C22×C4C23×D6111yescharacteristic
1408C22×C4C23×D6111yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—1222no—
1418C4⋊C4—2441no—
1419C4⋊C4—2441no—
1420C4⋊C4—2441no—
1421C4⋊C4—2441no—
1422C4⋊C4—2441no—
1423C4⋊C4—2441no—
1424C4⋊C4—2441no—
1425C4⋊C4—2441no—
1426C4⋊C4—2441no—
1427C4⋊C4—2441no—
1428C4⋊C4—2441no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—1222no—
1441C22⋊C4—1222no—
1442C22⋊C4—1222no—
1443C22⋊C4—1222no—
1444C22⋊C4—1222no—
1445C22⋊C4—1222no—
1446C22⋊C4—1222no—
1447C22⋊C4—1222no—
1448C22⋊C4—1222no—
1449C22⋊C4—1222no—
1450C22⋊C4—1222no—
1451C22⋊C4—1222no—
1452C22⋊C4—2441no—
1453C22⋊C4—2441no—
1454C22⋊C4—2441no—
1455C22⋊C4—2441no—
1456C22⋊C4—2441no—
1457C22⋊C4—2441no—
1458C22⋊C4—2441no—
1459C22⋊C4—2441no—
1460C22⋊C4—2441no—
1461C22⋊C4—2441no—
1462C22⋊C4—2441no—
1463C22⋊C4—2441no—
1464C22⋊C4—2441no—
1465C22⋊C4—2441no—
1466C22⋊C4—2441no—
1467C22⋊C4—2441no—
1468C22⋊C4—2441no—
1469C22⋊C4—2441no—
1470C22⋊C4—2441no—
1471C22⋊C4—2441no—
1472C22⋊C4—2441no—
1473C22⋊C4—2441no—
1474C22⋊C4—2441no—
1475C22⋊C4—2441no—
1476C22⋊C4—2441no—
1477C22⋊C4—2441no—
1478C22⋊C4—2441no—
1479C22⋊C4—2441no—
1480C22⋊C4—2441no—
1481C22⋊C4—2441no—
1482C22⋊C4—2441no—
1483C22⋊C4—2441no—
1484C22⋊C4—2441no—
1485C22⋊C4—2441no—
1486C22⋊C4—2441no—
1487C42—41no—
1488C42—41no—
1489C42—1222no—
1490C42—2441no—
1491C42—2441no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—612no—
1506C23—612no—
1507C23—612no—
1508C23—612no—
1509C23—1228no—
1510C23—1221no—
1511C23—1221no—
1512C23—1221no—
1513C23—1221no—
1514C23—1221no—
1515C23—1221no—
1516C23—1221no—
1517C23—1221no—
1518C23—1221no—
1519C23—1221no—
1520C23—1221no—
1521C23—1221no—
1522C23—1221no—
1523C23—1221no—
1524C23—1221no—
1525C23—1221no—
1526C23—1221no—
1527C23—1221no—
1528C23—1221no—
1529C23—1221no—
1530C23—1221no—
1531C23—1221no—
1532C23—1221no—
1533C23—1221no—
1534C23—1221no—
1535C23—1221no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—1221no—
1543C23—1221no—
1544C23—1221no—
1545C23—1221no—
1546C23—1221no—
1547C23—1221no—
1548C23—4882no—
1549C23—4882no—
1550C23—4882no—
1551C23—4882no—
1552C23—2444no—
1553C23—2444no—
1554C23—2444no—
1555C23—2444no—
1556C23—2444no—
1557C23—2444no—
1558C23—2444no—
1559C23—2444no—
1560C23—2444no—
1561C23#1451982312yes—
1562C23C24×D6111yescharacteristic
1563D4—44no—
1564D4—4882no—
1565D4—4882no—
1566D4—4882no—
1567D4—4882no—
1568D4—4882no—
1569D4—4882no—
1570D4—4882no—
1571D4—4882no—
1572D4—4882no—
1573D4—4882no—
1574D4—4882no—
1575D4—4882no—
1576D4—4882no—
1577D4—4882no—
1578D4—4882no—
1579D4—2444no—
1580D4—2444no—
1581D4—2444no—
1582D4—2444no—
1583D4—2444no—
1584D4—2444no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—44no—
1623C2×C4—612no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—4882no—
1654C2×C4—4882no—
1655C2×C4—4882no—
1656C2×C4—4882no—
1657C2×C4—4882no—
1658C2×C4—2444no—
1659C2×C4—2444no—
1660C2×C4—2444no—
1661C2×C4—2444no—
1662C2×C4—2444no—
1663C2×C4—2444no—
1664C2×C4#41×D6112yes—
1665C2×C4#1451982312yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—614no—
1681C22—1222no—
1682C22—1222no—
1683C22—1222no—
1684C22—1222no—
1685C22—1222no—
1686C22—1222no—
1687C22—1222no—
1688C22—1222no—
1689C22—1222no—
1690C22—4888no—
1691C22—24416no—
1692C22—2441no—
1693C22—2441no—
1694C22—2441no—
1695C22—2441no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22—2441no—
1704C22—2441no—
1705C22—2441no—
1706C22—2441no—
1707C22—2441no—
1708C22—2441no—
1709C22—2441no—
1710C22—2441no—
1711C22—2441no—
1712C22—2441no—
1713C22—2441no—
1714C22—2441no—
1715C22—2441no—
1716C22—2441no—
1717C22—2441no—
1718C22—2441no—
1719C22—2441no—
1720C22—2441no—
1721C22—2441no—
1722C22—2441no—
1723C22—2441no—
1724C22C2×#41×D6111yescharacteristic
1725C22H(5,𝔽2)×D6111yescharacteristic
1726C22H(5,𝔽2)×D6111yescharacteristic
1727C22H(5,𝔽2)×D6111yescharacteristic
1728C22C2×#1451982311yescharacteristic
1729C22C2×#1451982311yescharacteristic
1730C22#1684059911yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—1222no—
1745C4—2441no—
1746C4—2441no—
1747C4—2441no—
1748C4—2441no—
1749C4—2441no—
1750C4—2441no—
1751C4—2441no—
1752C4—2441no—
1753C4—2441no—
1754C2—42no—
1755C2—81no—
1756C2—1224no—
1757C2—4881no—
1758C2—4881no—
1759C2—4881no—
1760C2—4881no—
1761C2—2442no—
1762C2#540×D6111yescharacteristic
1763C2#2145950311yescharacteristic
1764C2#2145967211yescharacteristic
1765C2#2145997011yescharacteristic
1766C2#2146001111yescharacteristic
1767C2#2146001411yescharacteristic
1768C2#2146005511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2786C2
hypercenter#2786D61
hypocenterC61#36794
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2786

Complements

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

NH ≅ G/Ntype
1. #21454114C2semidirect
2. #21454102C2semidirect
3. #21453670C2semidirect
4. #21453142C2semidirect
5. #21453091C2semidirect
6. #21453082C2semidirect
7. #21453047C2semidirect
8. #21452926C2semidirect
9. #21452551C2semidirect
10. #21452545C2semidirect
11. #21452513C2semidirect
12. #21452464C2semidirect
13. #21452403C2semidirect
14. #21452248C2semidirect
15. #21452088C2semidirect
16. #21452082C2semidirect
17. #21452058C2semidirect
18. #21451593C2semidirect
19. #21451554C2semidirect
20. #21451042C2semidirect
21. #21450780C2semidirect
22. #21449455C2semidirect
23. #21449360C2semidirect
24. #21449350C2semidirect
25. #21449286C2semidirect
26. #21449282C2semidirect
27. #21449170C2semidirect
28. #21448518C2semidirect
29. #21448451C2semidirect
30. #386×D61C2semidirect
31. C61×#2786C2semidirect
36. C2×#14519762C22semidirect
37. C2×#14519762C22semidirect
38. C2×#14519759C22semidirect
39. C2×#14519759C22semidirect
43. C2×#14519752C22semidirect
44. C2×#14519752C22semidirect
45. C2×#14519751C22semidirect
48. C2×#14519750C22semidirect
61. #16839703C22semidirect
62. #16839703C22semidirect
63. #16839699C22semidirect
64. #16839697C22semidirect
65. #16839695C22semidirect
66. #16839692C22semidirect
67. #16839691C22semidirect
68. #16839690C22semidirect
69. #16839689C22semidirect
70. #16839688C22semidirect
71. #16839688C22semidirect
72. #16839687C22semidirect
73. #16839684C22semidirect
74. #16839680C22semidirect
75. #16839680C22semidirect
76. #16839680C22semidirect
77. #16839680C22semidirect
78. #16839680C22semidirect
80. #16839679C22semidirect
81. #16839679C22semidirect
82. #16839679C22semidirect
83. #16839679C22semidirect
84. #16839678C22semidirect
85. #16839678C22semidirect
86. #16839678C22semidirect
87. #16839678C22semidirect
88. #16839677C22semidirect
89. #16839677C22semidirect
90. #16839677C22semidirect
91. #16839677C22semidirect
93. #16839672C22semidirect
94. #16839672C22semidirect
95. #16839672C22semidirect
100. #16839671C22semidirect
101. #16839671C22semidirect
103. #16839664C22semidirect
107. #16839662C22semidirect
108. #16839654C22semidirect
109. #16839653C22semidirect
110. #16839653C22semidirect
111. #16839653C22semidirect
112. #16839652C22semidirect
113. #16839652C22semidirect
114. #16839652C22semidirect
115. #16839651C22semidirect
116. #16839651C22semidirect
117. #16839650C22semidirect
118. #16839648C22semidirect
119. #16839648C22semidirect
120. #16839646C22semidirect
121. #16839645C22semidirect
122. #16839645C22semidirect
125. #16839641C22semidirect
134. #16839640C22semidirect
135. #16839640C22semidirect
136. #16839640C22semidirect
137. #16839640C22semidirect
138. #16839640C22semidirect
139. #16839640C22semidirect
140. #16839640C22semidirect
141. #16839640C22semidirect
142. #16839640C22semidirect
144. #16839639C22semidirect
145. #16839639C22semidirect
146. #16839639C22semidirect
149. #16839638C22semidirect
152. #16839636C22semidirect
153. #16839634C22semidirect
156. #16839633C22semidirect
157. #16839629C22semidirect
158. #16839626C22semidirect
159. #16839624C22semidirect
160. #16839624C22semidirect
161. #16839624C22semidirect
165. #16839619C22semidirect
166. #16839619C22semidirect
172. C61×#398C22semidirect
173. C61×#397C22semidirect
174. C61×#397C22semidirect
175. C61×#397C22semidirect
176. C61×#396C22semidirect
179. C61×#388C22semidirect
180. C61×#388C22semidirect
181. C61×#387C22semidirect
182. C61×#387C22semidirect
183. C61×#387C22semidirect
185. C61×#385C22semidirect
186. C61×#380C22semidirect
873. #2786D61semidirect
951. #398C2×D61semidirect
958. #397C2×D61semidirect
959. #397C2×D61semidirect
960. #397C2×D61semidirect
962. #396C2×D61semidirect
1009. #388C2×D61semidirect
1010. #388C2×D61semidirect
1016. #387C2×D61semidirect
1017. #387C2×D61semidirect
1018. #387C2×D61semidirect
1054. #385C2×D61semidirect
1065. #380C2×D61semidirect
1071. C61#36794semidirect

Maximal subgroups

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

subgroupindex
#214541142
#214541022
#214536702
#214531422
#214530912
#214530822
#214530472
#214529262
#214525512
#214525452
#214525132
#214524642
#214524032
#214522482
#214520882
#214520822
#214520582
#214515932
#214515542
#214510422
#214507802
#214494552
#214493602
#214493502
#214492862
#214492822
#214491702
#214485182
#214484512
#386×D612
C61×#27862
#3679461