Finite Group Databasebeta

← #29888901

Subgroups — #29888901

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#21454112C211yesmaximal, characteristic, complemented
2#21454100C211yesmaximal, characteristic, complemented
3#21453681C211yesmaximal, characteristic, complemented
4#21453534C211yesmaximal, characteristic, complemented
5#21453137C211yesmaximal, characteristic, complemented
6#21453100C211yesmaximal, characteristic, complemented
7#21453083C211yesmaximal, characteristic, complemented
8#21452925C211yesmaximal, characteristic, complemented
9#21452550C211yesmaximal, characteristic, complemented
10#21452550C211yesmaximal, characteristic, complemented
11#21452502C211yesmaximal, characteristic, complemented
12#21452465C211yesmaximal, characteristic, complemented
13#21452409C211yesmaximal, characteristic, complemented
14#21452262C211yesmaximal, characteristic, complemented
15#21452092C211yesmaximal, characteristic, complemented
16#21452083C211yesmaximal, characteristic, complemented
17#21452059C211yesmaximal, characteristic, complemented
18#21451591C211yesmaximal, characteristic, complemented
19#21451554C211yesmaximal, characteristic, complemented
20#21451039C211yesmaximal, characteristic, complemented
21#21450784C211yesmaximal, characteristic, complemented
22#21449451C211yesmaximal, characteristic, complemented
23#21449354C211yesmaximal, characteristic, complemented
24#21449350C211yesmaximal, characteristic, complemented
25#21449282C211yesmaximal, characteristic, complemented
26#21449280C211yesmaximal, characteristic, complemented
27#21449173C211yesmaximal, characteristic, complemented
28#21448516C211yesmaximal, characteristic, complemented
29#21448450C211yesmaximal, characteristic, complemented
30#386×D61C211yesmaximal, characteristic, complemented
31C61×#2749C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C2×#14519773C2211yescharacteristic
35C2×#14519773C2211yescharacteristic
36C2×#14519761C2211yescharacteristic, complemented
37C2×#14519760C2211yescharacteristic, complemented
38C2×#14519760C2211yescharacteristic, complemented
39C2×#14519759C2211yescharacteristic, complemented
40C2×#14519752C2211yescharacteristic
41C2×#14519752C2211yescharacteristic
42C2×#14519752C2211yescharacteristic, complemented
43C2×#14519751C2211yescharacteristic, complemented
44C2×#14519750C2211yescharacteristic
45C2×#14519750C2211yescharacteristic
46C2×#14519750C2211yescharacteristic, complemented
47C2×#14519749C2211yescharacteristic, complemented
48C2×#14519748C2211yescharacteristic
49C2×#14519747C2211yescharacteristic
50C2×#14519747C2211yescharacteristic
51C2×#14519747C2211yescharacteristic
52C2×#14519747C2211yescharacteristic
53C2×#14519745C2211yescharacteristic
54C2×#14519745C2211yescharacteristic
55C2×C4×D244C2211yescharacteristic
56C2×#14519739C2211yescharacteristic
57C2×C4×C22⋊D61C2211yescharacteristic
58C2×C22⋊C4×D61C2211yescharacteristic
59C2×C22⋊C4×D61C2211yescharacteristic
60C2×C22⋊C4×D61C2211yescharacteristic
61#16839704C2211yescharacteristic, complemented
62#16839698C2211yescharacteristic, complemented
63#16839697C2211yescharacteristic, complemented
64#16839696C2211yescharacteristic, complemented
65#16839695C2211yescharacteristic, complemented
66#16839695C2211yescharacteristic, complemented
67#16839691C2211yescharacteristic, complemented
68#16839691C2211yescharacteristic, complemented
69#16839691C2211yescharacteristic, complemented
70#16839690C2211yescharacteristic, complemented
71#16839688C2211yescharacteristic, complemented
72#16839688C2211yescharacteristic, complemented
73#16839687C2211yescharacteristic, complemented
74#16839685C2211yescharacteristic, complemented
75#16839680C2211yescharacteristic, complemented
76#16839680C2211yescharacteristic, complemented
77#16839680C2211yescharacteristic, complemented
78#16839680C2211yescharacteristic, complemented
79#16839680C2211yescharacteristic, complemented
80#16839679C2211yescharacteristic, complemented
81#16839678C2211yescharacteristic
82#16839678C2211yescharacteristic
83#16839678C2211yescharacteristic, complemented
84#16839678C2211yescharacteristic, complemented
85#16839678C2211yescharacteristic, complemented
86#16839677C2211yescharacteristic, complemented
87#16839677C2211yescharacteristic, complemented
88#16839677C2211yescharacteristic, complemented
89#16839677C2211yescharacteristic, complemented
90#16839677C2211yescharacteristic, complemented
91#16839676C2211yescharacteristic, complemented
92#16839676C2211yescharacteristic, complemented
93#16839672C2211yescharacteristic
94#16839672C2211yescharacteristic, complemented
95#16839671C2211yescharacteristic
96#16839671C2211yescharacteristic
97#16839671C2211yescharacteristic
98#16839671C2211yescharacteristic, complemented
99#16839671C2211yescharacteristic, complemented
100#16839671C2211yescharacteristic, complemented
101#16839670C2211yescharacteristic
102#16839670C2211yescharacteristic, complemented
103#16839664C2211yescharacteristic
104#16839662C2211yescharacteristic
105#16839662C2211yescharacteristic
106#16839662C2211yescharacteristic, complemented
107#16839662C2211yescharacteristic, complemented
108#16839656C2211yescharacteristic, complemented
109#16839655C2211yescharacteristic, complemented
110#16839654C2211yescharacteristic, complemented
111#16839654C2211yescharacteristic, complemented
112#16839654C2211yescharacteristic, complemented
113#16839654C2211yescharacteristic, complemented
114#16839653C2211yescharacteristic, complemented
115#16839652C2211yescharacteristic, complemented
116#16839651C2211yescharacteristic, complemented
117#16839651C2211yescharacteristic, complemented
118#16839650C2211yescharacteristic, complemented
119#16839647C2211yescharacteristic, complemented
120#16839645C2211yescharacteristic, complemented
121#16839645C2211yescharacteristic, complemented
122#16839644C2211yescharacteristic, complemented
123#16839644C2211yescharacteristic, complemented
124#16839644C2211yescharacteristic, complemented
125#16839643C2211yescharacteristic, complemented
126#16839643C2211yescharacteristic, complemented
127#16839642C2211yescharacteristic
128#16839641C2211yescharacteristic
129#16839641C2211yescharacteristic, complemented
130#16839641C2211yescharacteristic, complemented
131#16839640C2211yescharacteristic
132#16839640C2211yescharacteristic
133#16839640C2211yescharacteristic
134#16839640C2211yescharacteristic
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic
137#16839640C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839640C2211yescharacteristic, complemented
140#16839640C2211yescharacteristic, complemented
141#16839640C2211yescharacteristic, complemented
142#16839639C2211yescharacteristic
143#16839638C2211yescharacteristic
144#16839638C2211yescharacteristic
145#16839638C2211yescharacteristic
146#16839638C2211yescharacteristic
147#16839638C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic, complemented
149#16839638C2211yescharacteristic, complemented
150#16839638C2211yescharacteristic, complemented
151#16839636C2211yescharacteristic
152#16839636C2211yescharacteristic
153#16839636C2211yescharacteristic
154#16839636C2211yescharacteristic, complemented
155#16839636C2211yescharacteristic, complemented
156#16839633C2211yescharacteristic
157#16839633C2211yescharacteristic, complemented
158#16839628C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic, complemented
160#16839623C2211yescharacteristic, complemented
161#16839621C2211yescharacteristic
162#16839621C2211yescharacteristic
163#16839621C2211yescharacteristic, complemented
164#16839621C2211yescharacteristic, complemented
165#16839620C2211yescharacteristic, complemented
166#16839619C2211yescharacteristic
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic
169#16839609C2211yescharacteristic
170#95×D61C2211yescharacteristic
171#95×D61C2211yescharacteristic
172C61×#400C2211yescharacteristic, complemented
173C61×#397C2211yescharacteristic, complemented
174C61×#397C2211yescharacteristic, complemented
175C61×#396C2211yescharacteristic, complemented
176C61×#394C2211yescharacteristic, complemented
177C61×#392C2211yescharacteristic
178C61×#390C2211yescharacteristic
179C61×#388C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic, complemented
184C61×#385C2211yescharacteristic, complemented
185C61×#383C2211yescharacteristic, complemented
186C61×#381C2211yescharacteristic, complemented
187C24×D61C2311yescharacteristic
188C24×D61C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C2×D4×D61—24no—
209C2×D4×D61—42no—
210C2×D4×D61—42no—
211C23×Dic61C2311yescharacteristic
212C22×C4×D61—42no—
213C22×C4×D61—42no—
214C22×C4×D61—42no—
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224#14519773—42no—
225#14519773—42no—
226#14519761—42no—
227#14519760—42no—
228#14519760—42no—
229#14519759—42no—
230#14519752—42no—
231#14519752—42no—
232#14519752—42no—
233#14519751—42no—
234#14519750—24no—
235#14519750—42no—
236#14519750—42no—
237#14519749—42no—
238#14519748—42no—
239#14519747—42no—
240#14519747—42no—
241#14519747—42no—
242#14519747—42no—
243#14519745—42no—
244#14519745—42no—
245C4×D244—24no—
246#14519739—42no—
247C4×C22⋊D61—42no—
248C2×C4⋊Dic61C2311yescharacteristic
249C2×C4⋊Dic61C2311yescharacteristic
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
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
309C22⋊C4×D61—42no—
310C22⋊C4×D61—42no—
311C22⋊C4×D61—42no—
312C2×C4×Dic61C2311yescharacteristic
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
341C22×D4×C61C2311yescharacteristic
342C22×D4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344C23×C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×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
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—41no—
387C23×D61—41no—
388C23×D61—41no—
389C23×D61—41no—
390C23×D61—41no—
391C23×D61—41no—
392C23×D61C2411yescharacteristic
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C2×D4×C61—22no—
398C2×D4×C61—22no—
399C2×D4×C61—22no—
400C2×D4×C61—41no—
401C2×D4×C61—41no—
402C2×D4×C61—41no—
403C2×D4×C61—41no—
404C2×D4×C61—41no—
405C2×D4×C61—41no—
406C22×C4×C61—22no—
407C22×C4×C61—41no—
408C22×C4×C61—41no—
409C22×C4×C61—41no—
410C22×C4×C61—41no—
411C22×C4×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—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C2×C22⋊D61—22no—
430C2×C22⋊D61—22no—
431C2×C22⋊D61—22no—
432C2×C22⋊D61—22no—
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—41no—
437C2×C22⋊D61—41no—
438C2×C22⋊D61—41no—
439C2×C22⋊D61—41no—
440C2×C22⋊D61—41no—
441C2×C22⋊D61—41no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61—41no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61—41no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C22×Dic61—22no—
458C22×Dic61—22no—
459C22×Dic61—41no—
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471D4×D61—416no—
472C2×D244—22no—
473C2×D244—22no—
474C2×D244—22no—
475C2×D244—22no—
476C2×D244—22no—
477C2×D244—22no—
478C2×D244—22no—
479C2×D244—22no—
480C2×D244—22no—
481C2×D244—22no—
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×D244—41no—
494C2×D244—41no—
495C2×D244—41no—
496C2×C4×D61—22no—
497C2×C4×D61—22no—
498C2×C4×D61—22no—
499C2×C4×D61—22no—
500C2×C4×D61—22no—
501C2×C4×D61—22no—
502C2×C4×D61—22no—
503C2×C4×D61—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—41no—
511C2×C4×D61—41no—
512C2×C4×D61—41no—
513C2×C4×D61—416no—
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—41no—
525C4⋊C4×C61—41no—
526C4⋊C4×C61—41no—
527C4⋊C4×C61—41no—
528C22⋊C4×C61—22no—
529C22⋊C4×C61—41no—
530C22⋊C4×C61—41no—
531C22⋊C4×C61—41no—
532C22⋊C4×C61—41no—
533C22⋊C4×C61—41no—
534C22⋊C4×C61—41no—
535C22⋊C4×C61—41no—
536C22⋊C4×C61—41no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C42×C61—22no—
542C22⋊Dic61—22no—
543C22⋊Dic61—22no—
544C22⋊Dic61—41no—
545C22⋊Dic61—41no—
546C22⋊Dic61—41no—
547C22⋊Dic61—41no—
548C22⋊Dic61—41no—
549C22⋊Dic61—41no—
550C22⋊Dic61—41no—
551C22⋊Dic61—41no—
552#11758198—22no—
553#11758198—22no—
554#11758198—22no—
555#11758198—22no—
556#11758198—22no—
557#11758198—22no—
558#11758198—22no—
559#11758198—22no—
560#11758198—22no—
561#11758198—22no—
562#11758198—22no—
563#11758198—22no—
564#11758198—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—
587C4⋊Dic61—22no—
588C4⋊Dic61—22no—
589C4⋊Dic61—41no—
590C4⋊Dic61—41no—
591C4⋊Dic61—41no—
592#11758196—22no—
593#11758196—22no—
594#11758196—41no—
595#11758196—41no—
596#11758196—41no—
597#11758196—41no—
598#11758196—41no—
599#11758196—41no—
600#11758196—41no—
601#11758196—41no—
602#11758196—41no—
603C4×Dic61—41no—
604C4×Dic61—41no—
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×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61H(5,𝔽2)12yes—
628C23×C61C2511yescharacteristic
629C22×D61—21no—
630C22×D61—21no—
631C22×D61—21no—
632C22×D61—21no—
633C22×D61—28no—
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—
679D4×C61—82no—
680D4×C61—82no—
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×C61—82no—
718C2×C4×C61C2×#4112yes—
719C22⋊D61—44no—
720C22⋊D61—44no—
721C22⋊D61—44no—
722C22⋊D61—82no—
723C22⋊D61—82no—
724C22⋊D61—82no—
725C22⋊D61—82no—
726C22⋊D61—82no—
727C22⋊D61—82no—
728C22⋊D61—82no—
729C22⋊D61—82no—
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—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—44no—
762C2×Dic61C2×#4112yes—
763C2×Dic61H(5,𝔽2)12yes—
764D244—44no—
765D244—44no—
766D244—44no—
767D244—82no—
768D244—82no—
769D244—82no—
770D244—82no—
771D244—82no—
772C4×D61—44no—
773C4×D61—44no—
774C4×D61—44no—
775C4×D61—44no—
776C4×D61—44no—
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×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61C22×#4111yescharacteristic
804C22×C61C2×H(5,𝔽2)11yescharacteristic
805C22×C61C2×H(5,𝔽2)11yescharacteristic
806C22×C61C2×H(5,𝔽2)11yescharacteristic
807C22×C61C2×H(5,𝔽2)11yescharacteristic
808C22×C61C2×H(5,𝔽2)11yescharacteristic
809C22×C61#58511yescharacteristic
810C2×D61—22no—
811C2×D61—22no—
812C2×D61—22no—
813C2×D61—22no—
814C2×D61—22no—
815C2×D61—22no—
816C2×D61—22no—
817C2×D61—22no—
818C2×D61—22no—
819C2×D61—416no—
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—41no—
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—
859Dic61—22no—
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#2786—611no—
874#2756—611no—
875#2753—611no—
876#2752—611no—
877#2749D6111yescharacteristic, complemented
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×C61—81no—
904C2×C61C2×#54011yescharacteristic
905C2×C61#349011yescharacteristic
906C2×C61#350611yescharacteristic
907C2×C61#353211yescharacteristic
908C2×C61#353411yescharacteristic
909C2×C61#353411yescharacteristic
910C2×C61#353711yescharacteristic
911D61—24no—
912D61—42no—
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#400C2×D6111yescharacteristic, complemented
947#399—611no—
948#399—611no—
949#398—611no—
950#398—611no—
951#398—611no—
952#397—611no—
953#397—611no—
954#397—611no—
955#397—611no—
956#397—611no—
957#397—611no—
958#397—611no—
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, complemented
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#392C2×D6111yescharacteristic
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#388—611no—
1010#388C2×D6111yescharacteristic, complemented
1011#387—611no—
1012#387—611no—
1013#387—611no—
1014#387—611no—
1015#387—611no—
1016#387—611no—
1017#387—611no—
1018#387—611no—
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#386C2×D6111yescharacteristic
1044#386C2×D6111yescharacteristic, complemented
1045#386C2×D6111yescharacteristic, complemented
1046#386C2×D6111yescharacteristic, complemented
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#383C2×D6111yescharacteristic, complemented
1056#382—611no—
1057#381—611no—
1058#381—611no—
1059#381C2×D6111yescharacteristic, complemented
1060#380—611no—
1061#380—611no—
1062#380—611no—
1063#380—611no—
1064#380—611no—
1065#380—611no—
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—1224no—
1094C22×D4—2442no—
1095C22×D4—2442no—
1096C22×D4C22×D6111yescharacteristic
1097C22×D4C22×D6111yescharacteristic
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—2442no—
1110C23×C4—2442no—
1111C23×C4—2442no—
1112C23×C4C22×D6111yescharacteristic
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⋊C4—611no—
1151C2×C4⋊C4—611no—
1152C2×C4⋊C4—611no—
1153C2×C4⋊C4—611no—
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—2442no—
1204C2×C22⋊C4—2442no—
1205C2×C22⋊C4—2442no—
1206C2×C22⋊C4C22×D6111yescharacteristic
1207C2×C22⋊C4C22×D6111yescharacteristic
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×C42—611no—
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—1222no—
1266C24—1222no—
1267C24—1222no—
1268C24—1222no—
1269C24—1222no—
1270C24—1222no—
1271C24—1222no—
1272C24—1222no—
1273C24—2441no—
1274C24—2441no—
1275C24—2441no—
1276C24—2441no—
1277C24—2441no—
1278C24—2441no—
1279C24C23×D6111yescharacteristic
1280C24C23×D6111yescharacteristic
1281C24C23×D6111yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
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—1222no—
1309C2×D4—1222no—
1310C2×D4—1222no—
1311C2×D4—1222no—
1312C2×D4—1222no—
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—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—614no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—1222no—
1368C22×C4—1222no—
1369C22×C4—1222no—
1370C22×C4—1222no—
1371C22×C4—1222no—
1372C22×C4—1222no—
1373C22×C4—1222no—
1374C22×C4—1222no—
1375C22×C4—1222no—
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—2441no—
1393C22×C4—2441no—
1394C22×C4—2441no—
1395C22×C4—24416no—
1396C22×C4—2441no—
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—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—1222no—
1414C4⋊C4—1222no—
1415C4⋊C4—1222no—
1416C4⋊C4—1222no—
1417C4⋊C4—2441no—
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—41no—
1431C22⋊C4—41no—
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—41no—
1441C22⋊C4—41no—
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—1222no—
1453C22⋊C4—1222no—
1454C22⋊C4—1222no—
1455C22⋊C4—1222no—
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—22no—
1488C42—2441no—
1489C42—2441no—
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—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—612no—
1513C23—612no—
1514C23—612no—
1515C23—612no—
1516C23—1228no—
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—82no—
1565D4—82no—
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—44no—
1621C2×C4—82no—
1622C2×C4—612no—
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—1221no—
1654C2×C4—1221no—
1655C2×C4—4882no—
1656C2×C4—4882no—
1657C2×C4—4882no—
1658C2×C4—4882no—
1659C2×C4—2444no—
1660C2×C4—2444no—
1661C2×C4—2444no—
1662C2×C4—2444no—
1663C2×C4—2444no—
1664C2×C4—2444no—
1665C2×C4#41×D6112yes—
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—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—614no—
1688C22—1222no—
1689C22—1222no—
1690C22—1222no—
1691C22—1222no—
1692C22—1222no—
1693C22—1222no—
1694C22—1222no—
1695C22—1222no—
1696C22—1222no—
1697C22—4888no—
1698C22—24416no—
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
1728C22H(5,𝔽2)×D6111yescharacteristic
1729C22C2×#1451982311yescharacteristic
1730C22#1684059811yescharacteristic
1731C4—22no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—1222no—
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—81no—
1757C2—1224no—
1758C2—4881no—
1759C2—4881no—
1760C2—4881no—
1761C2—2442no—
1762C2#540×D6111yescharacteristic
1763C2#2145950311yescharacteristic
1764C2#2145966511yescharacteristic
1765C2#2145997011yescharacteristic
1766C2#2146000811yescharacteristic
1767C2#2146001211yescharacteristic
1768C2#2146005311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2749C2
hypercenter#2749D61
hypocenterC61#36794
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2749

Complements

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

NH ≅ G/Ntype
1. #21454112C2semidirect
2. #21454100C2semidirect
3. #21453681C2semidirect
4. #21453534C2semidirect
5. #21453137C2semidirect
6. #21453100C2semidirect
7. #21453083C2semidirect
8. #21452925C2semidirect
9. #21452550C2semidirect
10. #21452550C2semidirect
11. #21452502C2semidirect
12. #21452465C2semidirect
13. #21452409C2semidirect
14. #21452262C2semidirect
15. #21452092C2semidirect
16. #21452083C2semidirect
17. #21452059C2semidirect
18. #21451591C2semidirect
19. #21451554C2semidirect
20. #21451039C2semidirect
21. #21450784C2semidirect
22. #21449451C2semidirect
23. #21449354C2semidirect
24. #21449350C2semidirect
25. #21449282C2semidirect
26. #21449280C2semidirect
27. #21449173C2semidirect
28. #21448516C2semidirect
29. #21448450C2semidirect
30. #386×D61C2semidirect
31. C61×#2749C2semidirect
36. C2×#14519761C22semidirect
37. C2×#14519760C22semidirect
38. C2×#14519760C22semidirect
39. C2×#14519759C22semidirect
42. C2×#14519752C22semidirect
43. C2×#14519751C22semidirect
46. C2×#14519750C22semidirect
47. C2×#14519749C22semidirect
61. #16839704C22semidirect
62. #16839698C22semidirect
63. #16839697C22semidirect
64. #16839696C22semidirect
65. #16839695C22semidirect
66. #16839695C22semidirect
67. #16839691C22semidirect
68. #16839691C22semidirect
69. #16839691C22semidirect
70. #16839690C22semidirect
71. #16839688C22semidirect
72. #16839688C22semidirect
73. #16839687C22semidirect
74. #16839685C22semidirect
75. #16839680C22semidirect
76. #16839680C22semidirect
77. #16839680C22semidirect
78. #16839680C22semidirect
79. #16839680C22semidirect
80. #16839679C22semidirect
83. #16839678C22semidirect
84. #16839678C22semidirect
85. #16839678C22semidirect
86. #16839677C22semidirect
87. #16839677C22semidirect
88. #16839677C22semidirect
89. #16839677C22semidirect
90. #16839677C22semidirect
91. #16839676C22semidirect
92. #16839676C22semidirect
94. #16839672C22semidirect
98. #16839671C22semidirect
99. #16839671C22semidirect
100. #16839671C22semidirect
102. #16839670C22semidirect
106. #16839662C22semidirect
107. #16839662C22semidirect
108. #16839656C22semidirect
109. #16839655C22semidirect
110. #16839654C22semidirect
111. #16839654C22semidirect
112. #16839654C22semidirect
113. #16839654C22semidirect
114. #16839653C22semidirect
115. #16839652C22semidirect
116. #16839651C22semidirect
117. #16839651C22semidirect
118. #16839650C22semidirect
119. #16839647C22semidirect
120. #16839645C22semidirect
121. #16839645C22semidirect
122. #16839644C22semidirect
123. #16839644C22semidirect
124. #16839644C22semidirect
125. #16839643C22semidirect
126. #16839643C22semidirect
129. #16839641C22semidirect
130. #16839641C22semidirect
137. #16839640C22semidirect
138. #16839640C22semidirect
139. #16839640C22semidirect
140. #16839640C22semidirect
141. #16839640C22semidirect
147. #16839638C22semidirect
148. #16839638C22semidirect
149. #16839638C22semidirect
150. #16839638C22semidirect
154. #16839636C22semidirect
155. #16839636C22semidirect
157. #16839633C22semidirect
158. #16839628C22semidirect
159. #16839624C22semidirect
160. #16839623C22semidirect
163. #16839621C22semidirect
164. #16839621C22semidirect
165. #16839620C22semidirect
172. C61×#400C22semidirect
173. C61×#397C22semidirect
174. C61×#397C22semidirect
175. C61×#396C22semidirect
176. C61×#394C22semidirect
179. C61×#388C22semidirect
181. C61×#386C22semidirect
182. C61×#386C22semidirect
183. C61×#386C22semidirect
184. C61×#385C22semidirect
185. C61×#383C22semidirect
186. C61×#381C22semidirect
877. #2749D61semidirect
946. #400C2×D61semidirect
959. #397C2×D61semidirect
960. #397C2×D61semidirect
962. #396C2×D61semidirect
981. #394C2×D61semidirect
1010. #388C2×D61semidirect
1044. #386C2×D61semidirect
1045. #386C2×D61semidirect
1046. #386C2×D61semidirect
1054. #385C2×D61semidirect
1055. #383C2×D61semidirect
1059. #381C2×D61semidirect
1071. C61#36794semidirect

Maximal subgroups

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

subgroupindex
#214541122
#214541002
#214536812
#214535342
#214531372
#214531002
#214530832
#214529252
#214525502
#214525022
#214524652
#214524092
#214522622
#214520922
#214520832
#214520592
#214515912
#214515542
#214510392
#214507842
#214494512
#214493542
#214493502
#214492822
#214492802
#214491732
#214485162
#214484502
#386×D612
C61×#27492
#3679461