Finite Group Databasebeta

← #29852706

Subgroups — #29852706

Order 15616.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840361C211yesmaximal, characteristic, complemented
2C22×#14519737C211yesmaximal, characteristic, complemented
3#21454136C211yesmaximal, characteristic, complemented
4#21454127C211yesmaximal, characteristic, complemented
5#21454114C211yesmaximal, characteristic, complemented
6#21454103C211yesmaximal, characteristic, complemented
7#21451742C211yesmaximal, characteristic, complemented
8#21451723C211yesmaximal, characteristic, complemented
9#21451693C211yesmaximal, characteristic, complemented
10#21451665C211yesmaximal, characteristic, complemented
11#21450072C211yesmaximal, characteristic, complemented
12#21449967C211yesmaximal, characteristic, complemented
13#21449858C211yesmaximal, characteristic, complemented
14#21449816C211yesmaximal, characteristic, complemented
15#21449774C211yesmaximal, characteristic, complemented
16#21449702C211yesmaximal, characteristic, complemented
17#21449624C211yesmaximal, characteristic, complemented
18#21449624C211yesmaximal, characteristic, complemented
19#21449558C211yesmaximal, characteristic, complemented
20#21449368C211yesmaximal, characteristic, complemented
21#21449302C211yesmaximal, characteristic, complemented
22#21449287C211yesmaximal, characteristic, complemented
23#21449209C211yesmaximal, characteristic, complemented
24#21449187C211yesmaximal, characteristic
25#21449147C211yesmaximal, characteristic, complemented
26#21448519C211yesmaximal, characteristic, complemented
27#21448487C211yesmaximal, characteristic, complemented
28#21448447C211yesmaximal, characteristic, complemented
29#21448318C211yesmaximal, characteristic, complemented
30C2×#16839634C211yesmaximal, characteristic, complemented
31C61×#2437C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C24×Dic61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840361—28no—
36C2×#14519772C2211yescharacteristic, complemented
37C2×#14519772C2211yescharacteristic, complemented
38C2×#14519768C2211yescharacteristic, complemented
39C2×#14519768C2211yescharacteristic, complemented
40C2×#14519762C2211yescharacteristic, complemented
41C2×#14519762C2211yescharacteristic, complemented
42C2×#14519762C2211yescharacteristic, complemented
43C2×#14519761C2211yescharacteristic
44C2×#14519761C2211yescharacteristic
45C2×#14519761C2211yescharacteristic, complemented
46C2×#14519753C2211yescharacteristic, complemented
47C2×#14519753C2211yescharacteristic, complemented
48C2×#14519753C2211yescharacteristic, complemented
49C2×#14519751C2211yescharacteristic
50C2×#14519751C2211yescharacteristic
51C2×#14519747C2211yescharacteristic
52C2×#14519746C2211yescharacteristic
53C2×#14519737—28no—
54C2×#14519737C2211yescharacteristic
55C2×#14519737C2211yescharacteristic
56C2×#14519737C2211yescharacteristic
57C2×#14519737C2211yescharacteristic
58C2×#14519737C2211yescharacteristic
59C2×#14519737C2211yescharacteristic
60C2×#14519737C2211yescharacteristic
61C2×#14519737C2211yescharacteristic
62C2×#14519737C2211yescharacteristic
63C2×#14519737C2211yescharacteristic, complemented
64C2×#14519737C2211yescharacteristic, complemented
65C22×#11758196C2211yescharacteristic
66C22×#11758196C2211yescharacteristic, complemented
67C22×#11758196C2211yescharacteristic, complemented
68C22×C22⋊Dic61C2211yescharacteristic
69C22×#11758198C2211yescharacteristic
70C22×C4×Dic61C2211yescharacteristic
71#16839704C2211yescharacteristic, complemented
72#16839697C2211yescharacteristic, complemented
73#16839697C2211yescharacteristic, complemented
74#16839695C2211yescharacteristic, complemented
75#16839695C2211yescharacteristic, complemented
76#16839695C2211yescharacteristic, complemented
77#16839694C2211yescharacteristic, complemented
78#16839691C2211yescharacteristic, complemented
79#16839691C2211yescharacteristic, complemented
80#16839689C2211yescharacteristic, complemented
81#16839688C2211yescharacteristic, complemented
82#16839687C2211yescharacteristic, complemented
83#16839687C2211yescharacteristic, complemented
84#16839684C2211yescharacteristic, complemented
85#16839684C2211yescharacteristic, complemented
86#16839681C2211yescharacteristic, complemented
87#16839680C2211yescharacteristic, complemented
88#16839679C2211yescharacteristic, complemented
89#16839678C2211yescharacteristic
90#16839678C2211yescharacteristic
91#16839678C2211yescharacteristic
92#16839678C2211yescharacteristic
93#16839678C2211yescharacteristic
94#16839678C2211yescharacteristic
95#16839678C2211yescharacteristic, complemented
96#16839678C2211yescharacteristic, complemented
97#16839671C2211yescharacteristic
98#16839671C2211yescharacteristic
99#16839661C2211yescharacteristic, complemented
100#16839658C2211yescharacteristic, complemented
101#16839658C2211yescharacteristic, complemented
102#16839658C2211yescharacteristic, complemented
103#16839654C2211yescharacteristic, complemented
104#16839654C2211yescharacteristic, complemented
105#16839652C2211yescharacteristic, complemented
106#16839652C2211yescharacteristic, complemented
107#16839652C2211yescharacteristic, complemented
108#16839651C2211yescharacteristic, complemented
109#16839651C2211yescharacteristic, complemented
110#16839651C2211yescharacteristic, complemented
111#16839649C2211yescharacteristic, complemented
112#16839649C2211yescharacteristic, complemented
113#16839649C2211yescharacteristic, complemented
114#16839648C2211yescharacteristic, complemented
115#16839645C2211yescharacteristic, complemented
116#16839645C2211yescharacteristic, complemented
117#16839645C2211yescharacteristic, complemented
118#16839645C2211yescharacteristic, complemented
119#16839643C2211yescharacteristic, complemented
120#16839643C2211yescharacteristic, complemented
121#16839641C2211yescharacteristic
122#16839641C2211yescharacteristic
123#16839641C2211yescharacteristic
124#16839641C2211yescharacteristic
125#16839640C2211yescharacteristic, complemented
126#16839640C2211yescharacteristic, complemented
127#16839640C2211yescharacteristic, complemented
128#16839639C2211yescharacteristic
129#16839639C2211yescharacteristic
130#16839639C2211yescharacteristic
131#16839639C2211yescharacteristic
132#16839639C2211yescharacteristic, complemented
133#16839639C2211yescharacteristic, complemented
134#16839639C2211yescharacteristic, complemented
135#16839637C2211yescharacteristic
136#16839637C2211yescharacteristic
137#16839637C2211yescharacteristic
138#16839637C2211yescharacteristic, complemented
139#16839634C2211yescharacteristic
140#16839634C2211yescharacteristic
141#16839634C2211yescharacteristic
142#16839634C2211yescharacteristic
143#16839634C2211yescharacteristic
144#16839634C2211yescharacteristic, complemented
145#16839634C2211yescharacteristic, complemented
146#16839634C2211yescharacteristic, complemented
147#16839634C2211yescharacteristic, complemented
148#16839634C2211yescharacteristic, complemented
149#16839634C2211yescharacteristic, complemented
150#16839633C2211yescharacteristic, complemented
151#16839633C2211yescharacteristic, complemented
152#16839633C2211yescharacteristic, complemented
153#16839633C2211yescharacteristic, complemented
154#16839633C2211yescharacteristic, complemented
155#16839633C2211yescharacteristic, complemented
156#16839633C2211yescharacteristic, complemented
157#16839629C2211yescharacteristic, complemented
158#16839627C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic, complemented
160#16839624C2211yescharacteristic, complemented
161#16839623C2211yescharacteristic, complemented
162#16839622C2211yescharacteristic
163#16839622C2211yescharacteristic
164#16839619C2211yescharacteristic, complemented
165#16839619C2211yescharacteristic, complemented
166#16839617C2211yescharacteristic
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic
169C22⋊C4×Dic61C2211yescharacteristic
170C22⋊C4×Dic61C2211yescharacteristic, complemented
171C22⋊C4×Dic61C2211yescharacteristic, complemented
172C2×#14519684C2211yescharacteristic, complemented
173C2×#14519684C2211yescharacteristic, complemented
174C2×C22⋊Q8×C61C2211yescharacteristic
175C2×C22⋊Q8×C61C2211yescharacteristic, complemented
176C22×C22⋊C4×C61C2211yescharacteristic
177C22×C22⋊C4×C61C2211yescharacteristic
178C61×#399C2211yescharacteristic, complemented
179C61×#396C2211yescharacteristic, complemented
180C61×#396C2211yescharacteristic, complemented
181C61×#393C2211yescharacteristic, complemented
182C61×#385C2211yescharacteristic
183C61×#385C2211yescharacteristic
184C61×#385C2211yescharacteristic, complemented
185C61×#385C2211yescharacteristic, complemented
186C61×#380C2211yescharacteristic
187C61×#380C2211yescharacteristic, complemented
188C61×#379C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×C22⋊D61—24no—
193C22×C22⋊D61—24no—
194C22×C22⋊D61—24no—
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C23×Dic61—24no—
203C23×Dic61—42no—
204C23×Dic61—42no—
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C22×C4×D61—24no—
215C22×C4×D61—42no—
216C22×C4×D61—42no—
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222#14519772—24no—
223#14519772—24no—
224#14519768—24no—
225#14519768—24no—
226#14519762—24no—
227#14519762—24no—
228#14519762—42no—
229#14519761—24no—
230#14519761—24no—
231#14519761—24no—
232#14519753—24no—
233#14519753—24no—
234#14519753—42no—
235#14519751—24no—
236#14519751—24no—
237#14519747—42no—
238#14519746—24no—
239#14519737—24no—
240#14519737—24no—
241#14519737—24no—
242#14519737—24no—
243#14519737—24no—
244#14519737—24no—
245#14519737—24no—
246#14519737—24no—
247#14519737—42no—
248#14519737—42no—
249#14519737D418yescomplemented
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×C4⋊Dic61C2311yescharacteristic
254C2×C4⋊Dic61C2311yescharacteristic
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×#11758196—24no—
261C2×#11758196—24no—
262C2×#11758196—42no—
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×C22⋊Dic61—24no—
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×#11758198—24no—
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
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×C4×Dic61—24no—
315C2×C4×Dic61C2311yescharacteristic
316C2×C4×Dic61C2311yescharacteristic
317C2×C4×Dic61C2311yescharacteristic
318C2×C4×Dic61C2311yescharacteristic
319C2×C4×Dic61C2311yescharacteristic
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352C25×C61C2311yescharacteristic
353C22×Q8×C61C2311yescharacteristic
354C23×C4×C61C2311yescharacteristic
355C23×C4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C22⋊Q8×C61—24no—
359C22⋊Q8×C61—42no—
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊C4×C61C2311yescharacteristic
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61—24no—
370C2×C22⋊C4×C61—42no—
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C22⋊C4×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61—22no—
392C24×C61—22no—
393C24×C61—22no—
394C24×C61—22no—
395C24×C61—41no—
396C24×C61—41no—
397C24×C61#4114yes—
398C24×C61C2411yescharacteristic
399C24×C61C2411yescharacteristic
400C24×C61C2411yescharacteristic
401C23×D61—22no—
402C23×D61—22no—
403C23×D61—22no—
404C23×D61—22no—
405C23×D61—22no—
406C23×D61—41no—
407C23×D61—41no—
408C23×D61C2411yescharacteristic
409C23×D61C2411yescharacteristic
410C23×D61C2411yescharacteristic
411C2×Q8×C61—22no—
412C2×Q8×C61—41no—
413C2×Q8×C61—41no—
414C22×C4×C61—22no—
415C22×C4×C61—22no—
416C22×C4×C61—22no—
417C22×C4×C61—22no—
418C22×C4×C61—22no—
419C22×C4×C61—22no—
420C22×C4×C61—41no—
421C22×C4×C61—41no—
422C22×C4×C61—41no—
423C22×C4×C61—41no—
424C22×C4×C61—41no—
425C22×C4×C61—41no—
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
438C2×C22⋊D61—232no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—22no—
447C2×C22⋊D61—22no—
448C2×C22⋊D61—22no—
449C2×C22⋊D61—22no—
450C2×C22⋊D61—22no—
451C2×C22⋊D61—22no—
452C2×C22⋊D61—22no—
453C2×C22⋊D61—22no—
454C2×C22⋊D61—22no—
455C2×C22⋊D61—22no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
458C2×C22⋊D61C2×D414yes—
459C2×C22⋊D61#4114yes—
460C22×Dic61—22no—
461C22×Dic61—22no—
462C22×Dic61—22no—
463C22×Dic61—22no—
464C22×Dic61—22no—
465C22×Dic61—22no—
466C22×Dic61—22no—
467C22×Dic61—22no—
468C22×Dic61—22no—
469C22×Dic61—22no—
470C22×Dic61—22no—
471C22×Dic61—22no—
472C22×Dic61—22no—
473C22×Dic61—22no—
474C22×Dic61—22no—
475C22×Dic61—22no—
476C22×Dic61—22no—
477C22×Dic61—41no—
478C22×Dic61—41no—
479C22×Dic61—41no—
480C22×Dic61—41no—
481C22×Dic61—41no—
482C22×Dic61—41no—
483C22×Dic61—41no—
484C22×Dic61—41no—
485C22×Dic61—41no—
486C22×Dic61—416no—
487C22×Dic61C2×D414yes—
488C22×Dic61C2411yescharacteristic
489C22×Dic61C2411yescharacteristic
490C22×Dic61C2411yescharacteristic
491C22×Dic61C2411yescharacteristic
492C22×Dic61C2411yescharacteristic
493C22×Dic61C2411yescharacteristic
494C22×Dic61C2411yescharacteristic
495C22×Dic61C2411yescharacteristic
496C22×Dic61C2411yescharacteristic
497C22×Dic61C2411yescharacteristic
498C22×Dic61C2411yescharacteristic
499C22×Dic61C2411yescharacteristic
500C22×Dic61C2411yescharacteristic
501C2×D244—22no—
502C2×D244—22no—
503C2×D244—41no—
504C2×D244—41no—
505C2×D244—41no—
506C2×D244—41no—
507C2×C4×D61—22no—
508C2×C4×D61—22no—
509C2×C4×D61—22no—
510C2×C4×D61—22no—
511C2×C4×D61—22no—
512C2×C4×D61—22no—
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—416no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61C2×D414yes—
523C4⋊C4×C61—22no—
524C4⋊C4×C61—22no—
525C4⋊C4×C61—22no—
526C4⋊C4×C61—41no—
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—22no—
536C22⋊C4×C61—22no—
537C22⋊C4×C61—22no—
538C22⋊C4×C61—22no—
539C22⋊C4×C61—22no—
540C22⋊C4×C61—22no—
541C22⋊C4×C61—41no—
542C22⋊C4×C61—41no—
543C22⋊C4×C61—41no—
544C22⋊C4×C61—41no—
545C22⋊C4×C61C2×D414yes—
546C22⋊Dic61—22no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—22no—
550C22⋊Dic61—22no—
551C22⋊Dic61—22no—
552C22⋊Dic61—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—22no—
565#11758198—22no—
566#11758198—22no—
567#11758198—22no—
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#11758198C2×D414yes—
580C4⋊Dic61—22no—
581C4⋊Dic61—22no—
582C4⋊Dic61—22no—
583C4⋊Dic61—22no—
584C4⋊Dic61—22no—
585C4⋊Dic61—22no—
586C4⋊Dic61—22no—
587C4⋊Dic61—22no—
588C4⋊Dic61—41no—
589C4⋊Dic61—41no—
590#11758196—22no—
591#11758196—22no—
592#11758196—22no—
593#11758196—22no—
594#11758196—22no—
595#11758196—22no—
596#11758196—22no—
597#11758196—22no—
598#11758196—22no—
599#11758196—22no—
600#11758196—22no—
601#11758196—41no—
602#11758196—41no—
603#11758196—41no—
604#11758196C2×D414yes—
605C4×Dic61—22no—
606C4×Dic61—22no—
607C4×Dic61—22no—
608C4×Dic61—22no—
609C4×Dic61—41no—
610C4×Dic61—41no—
611C4×Dic61C2×D414yes—
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—28no—
621C23×C61—28no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—44no—
629C23×C61—44no—
630C23×C61—44no—
631C23×C61—44no—
632C23×C61—44no—
633C23×C61C22×D412yes—
634C23×C61C2×#4112yes—
635C23×C61C2×#4112yes—
636C23×C61C2×#4112yes—
637C23×C61C2×#4112yes—
638C23×C61H(5,𝔽2)12yes—
639C23×C612−1+412yes—
640C23×C61C2511yescharacteristic
641C22×D61—28no—
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×D61C22×D412yes—
668C22×D61C2×#4112yes—
669Q8×C61—82no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—44no—
705C2×C4×C61—44no—
706C2×C4×C61—82no—
707C2×C4×C61—82no—
708C2×C4×C61C22×D412yes—
709C2×C4×C61C22×D412yes—
710C22⋊D61—28no—
711C22⋊D61—28no—
712C22⋊D61—28no—
713C22⋊D61—28no—
714C22⋊D61—44no—
715C22⋊D61—44no—
716C22⋊D61—44no—
717C2×Dic61—28no—
718C2×Dic61—28no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—44no—
754C2×Dic61—44no—
755C2×Dic61—44no—
756C2×Dic61—44no—
757C2×Dic61—44no—
758C2×Dic61—44no—
759C2×Dic61—44no—
760C2×Dic61C22×D412yes—
761C2×Dic61C22×D412yes—
762C2×Dic61C22×D412yes—
763C2×Dic61C2×#4112yes—
764C2×Dic61H(5,𝔽2)12yes—
765D244—82no—
766D244—82no—
767C4×D61—44no—
768C4×D61—44no—
769C4×D61—44no—
770C4×D61—44no—
771C4×D61—82no—
772#34991—611nomaximal, Sylow
773C22×C61—22no—
774C22×C61—22no—
775C22×C61—22no—
776C22×C61—22no—
777C22×C61—22no—
778C22×C61—22no—
779C22×C61—22no—
780C22×C61—22no—
781C22×C61—22no—
782C22×C61—22no—
783C22×C61—22no—
784C22×C61—22no—
785C22×C61—22no—
786C22×C61—22no—
787C22×C61—22no—
788C22×C61—416no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61#52514yes—
794C22×C61#53914yescomplemented
795C22×C61C23×D411yescharacteristic
796C22×C61C22×#4111yescharacteristic
797C22×C61C22×#4111yescharacteristic
798C22×C61C2×H(5,𝔽2)11yescharacteristic
799C22×C61C2×H(5,𝔽2)11yescharacteristic
800C22×C61C2×2−1+411yescharacteristic
801C22×C61#58511yescharacteristic
802C2×D61—22no—
803C2×D61—22no—
804C2×D61—22no—
805C2×D61—22no—
806C2×D61—22no—
807C2×D61—22no—
808C2×D61—416no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—41no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61—41no—
824C4×C61—22no—
825C4×C61—22no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836Dic61—22no—
837Dic61—22no—
838Dic61—22no—
839Dic61—22no—
840Dic61—22no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61—41no—
845Dic61—41no—
846Dic61—41no—
847Dic61—41no—
848Dic61—41no—
849C2×#539—611no—
850C22×C4×D4—611no—
851#2852—611no—
852#2851—611no—
853#2849—611no—
854#2848—611no—
855#2638—611no—
856#2636—611no—
857#2633—611no—
858#2630—611no—
859#2480—611no—
860#2473—611no—
861#2466—611no—
862#2463—611no—
863#2460—611no—
864#2455—611no—
865#2449—611no—
866#2449—611no—
867#2443—611no—
868#2437D6111yescharacteristic, complemented
869#2425—611no—
870#2419—611no—
871#2418—611no—
872#2412—611no—
873#2410—611no—
874#2405—611no—
875#2325—611no—
876#2322—611no—
877#2318—611no—
878C4×#120—611no—
879C2×#385—611no—
880C2×C61—24no—
881C2×C61—24no—
882C2×C61—42no—
883C2×C61C2×#52511yescharacteristic
884C2×C61C2×#53911yescharacteristic
885C2×C61#345911yescharacteristic
886C2×C61#348411yescharacteristic
887C2×C61#348911yescharacteristic
888C2×C61#351311yescharacteristic
889C2×C61#352011yescharacteristic
890D61—42no—
891D61—42no—
892D61—81no—
893C23×D4—611no—
894C24×C4—611no—
895C24×C4—611no—
896#539—1228no—
897C2×#126—611no—
898C2×#126—611no—
899C2×#125—611no—
900C2×#125—611no—
901C2×#123—611no—
902C2×#123—611no—
903C2×#123—611no—
904C2×#123—611no—
905C2×#123—611no—
906C2×#123—611no—
907C2×C22⋊Q8—611no—
908C2×C22⋊Q8—611no—
909C2×C22⋊Q8—611no—
910C2×C22⋊Q8C2×D6111yescharacteristic
911C2×C22⋊Q8C2×D6111yescharacteristic, complemented
912C2×#121—611no—
913C2×#121—611no—
914C2×#120—611no—
915C2×#120—611no—
916C2×C4×D4—611no—
917C2×C4×D4—611no—
918C2×C4×D4—611no—
919C2×C4×D4—611no—
920C2×C4×D4—611no—
921C2×C4×D4—611no—
922C2×C4×D4—611no—
923C2×C4×D4—611no—
924C2×C4×D4—611no—
925C2×C4×D4—611no—
926C2×C4×D4—611no—
927C2×C4×D4—1228no—
928C22×C4⋊C4—611no—
929C22×C4⋊C4—611no—
930C22×C4⋊C4—611no—
931C22×C22⋊C4—611no—
932C22×C22⋊C4—611no—
933C22×C22⋊C4C2×D6111yescharacteristic
934C22×C22⋊C4C2×D6111yescharacteristic
935C22×C42—611no—
936#400—611no—
937#399—611no—
938#399—611no—
939#399C2×D6111yescharacteristic, complemented
940#398—611no—
941#398—611no—
942#398—611no—
943#398—611no—
944#397—611no—
945#397—611no—
946#397—611no—
947#397—611no—
948#397—611no—
949#397—611no—
950#396—611no—
951#396—611no—
952#396C2×D6111yescharacteristic, complemented
953#396C2×D6111yescharacteristic, complemented
954#395—611no—
955#394—611no—
956#394—611no—
957#394—611no—
958#394—611no—
959#394—611no—
960#394—611no—
961#394—611no—
962#394—611no—
963#394—611no—
964#394—611no—
965#393C2×D6111yescharacteristic, complemented
966#392—611no—
967#392—611no—
968#389—611no—
969#389—611no—
970#389—611no—
971#389—611no—
972#388—611no—
973#388—611no—
974#388—611no—
975#388—611no—
976#388—611no—
977#388—611no—
978#388—611no—
979#388—611no—
980#387—611no—
981#387—611no—
982#387—611no—
983#387—611no—
984#387—611no—
985#387—611no—
986#387—611no—
987#387—611no—
988#387—611no—
989#387—611no—
990#386—611no—
991#386—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#386—611no—
997#386—611no—
998#386—611no—
999#386—611no—
1000#386—611no—
1001#386—611no—
1002#386—611no—
1003#386—611no—
1004#385—611no—
1005#385—611no—
1006#385—611no—
1007#385—611no—
1008#385—611no—
1009#385—611no—
1010#385—611no—
1011#385—611no—
1012#385—611no—
1013#385—611no—
1014#385—611no—
1015#385—611no—
1016#385—611no—
1017#385—611no—
1018#385—611no—
1019#385—611no—
1020#385—611no—
1021#385—611no—
1022#385—611no—
1023#385—611no—
1024#385—611no—
1025#385—611no—
1026#385C2×D6111yescharacteristic
1027#385C2×D6111yescharacteristic
1028#385C2×D6111yescharacteristic, complemented
1029#385C2×D6111yescharacteristic, complemented
1030#383—611no—
1031#382—611no—
1032#381—611no—
1033#381—611no—
1034#381—611no—
1035#380—611no—
1036#380—611no—
1037#380—611no—
1038#380—611no—
1039#380C2×D6111yescharacteristic
1040#380C2×D6111yescharacteristic, complemented
1041#379—611no—
1042#379—611no—
1043#379—611no—
1044#379C2×D6111yescharacteristic
1045C4×C22⋊C4—611no—
1046C4×C22⋊C4—611no—
1047C4×C22⋊C4—611no—
1048C2×#95—611no—
1049C2×#95—611no—
1050C61#3499111yescharacteristic, complemented, Sylow
1051C25—611no—
1052C25C22×D6111yescharacteristic
1053C22×Q8C22×D6111yescharacteristic
1054C22×D4—611no—
1055C22×D4—611no—
1056C22×D4—611no—
1057C22×D4—611no—
1058C22×D4—611no—
1059C22×D4—611no—
1060C22×D4—611no—
1061C22×D4—611no—
1062C22×D4—611no—
1063C22×D4—1224no—
1064C22×D4—1224no—
1065C22×D4—1224no—
1066C23×C4—611no—
1067C23×C4—611no—
1068C23×C4—611no—
1069C23×C4—611no—
1070C23×C4—611no—
1071C23×C4—611no—
1072C23×C4—611no—
1073C23×C4—611no—
1074C23×C4—611no—
1075C23×C4—611no—
1076C23×C4—611no—
1077C23×C4—611no—
1078C23×C4—611no—
1079C23×C4—611no—
1080C23×C4—1224no—
1081C23×C4—1224no—
1082C23×C4—2442no—
1083C23×C4—2442no—
1084C23×C4—2442no—
1085C23×C4—2442no—
1086C23×C4C22×D6111yescharacteristic
1087C23×C4C22×D6111yescharacteristic
1088C23×C4C22×D6111yescharacteristic
1089C23×C4C22×D6111yescharacteristic
1090#126—1224no—
1091#126—1224no—
1092#125—1224no—
1093#125—1224no—
1094#123—1224no—
1095#123—1224no—
1096#123—1224no—
1097#123—1224no—
1098#123—1224no—
1099#123—2442no—
1100C22⋊Q8—24no—
1101C22⋊Q8—42no—
1102C22⋊Q8—1224no—
1103C22⋊Q8—1224no—
1104C22⋊Q8—2442no—
1105#121—1224no—
1106#121—1224no—
1107#120—1224no—
1108#120—2442no—
1109C4×D4—618no—
1110C4×D4—1224no—
1111C4×D4—1224no—
1112C4×D4—1224no—
1113C4×D4—1224no—
1114C4×D4—1224no—
1115C4×D4—1224no—
1116C4×D4—1224no—
1117C4×D4—1224no—
1118C4×D4—2442no—
1119C4×D4—2442no—
1120C2×C4⋊C4—611no—
1121C2×C4⋊C4—611no—
1122C2×C4⋊C4—611no—
1123C2×C4⋊C4—611no—
1124C2×C4⋊C4—611no—
1125C2×C4⋊C4—611no—
1126C2×C4⋊C4—611no—
1127C2×C4⋊C4—611no—
1128C2×C4⋊C4—611no—
1129C2×C4⋊C4—611no—
1130C2×C4⋊C4—611no—
1131C2×C4⋊C4—611no—
1132C2×C4⋊C4—611no—
1133C2×C4⋊C4—611no—
1134C2×C4⋊C4—611no—
1135C2×C4⋊C4—611no—
1136C2×C4⋊C4—611no—
1137C2×C4⋊C4—611no—
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—1224no—
1146C2×C4⋊C4—1224no—
1147C2×C4⋊C4—2442no—
1148C2×C4⋊C4C22×D6111yescharacteristic
1149C2×C4⋊C4C22×D6111yescharacteristic
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×C22⋊C4—24no—
1158C2×C22⋊C4—42no—
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—1224no—
1194C2×C22⋊C4—1224no—
1195C2×C22⋊C4C22×D6111yescharacteristic
1196C2×C22⋊C4C22×D6111yescharacteristic
1197C2×C22⋊C4C22×D6111yescharacteristic
1198C2×C22⋊C4C22×D6111yescharacteristic
1199C2×C22⋊C4C22×D6111yescharacteristic
1200C2×C22⋊C4C22×D6111yescharacteristic
1201C2×C22⋊C4C22×D6111yescharacteristic
1202C2×C22⋊C4C22×D6111yescharacteristic
1203C2×C22⋊C4C22×D6111yescharacteristic
1204C2×C22⋊C4C22×D6111yescharacteristic
1205C2×C22⋊C4C22×D6111yescharacteristic
1206C2×C22⋊C4C22×D6111yescharacteristic
1207C2×C22⋊C4C22×D6111yescharacteristic
1208C2×C22⋊C4C22×D6111yescharacteristic
1209C2×C42—611no—
1210C2×C42—611no—
1211C2×C42—611no—
1212C2×C42—611no—
1213C2×C42—611no—
1214C2×C42—611no—
1215C2×C42—611no—
1216C2×C42—1224no—
1217#95—611no—
1218#95—611no—
1219#95—611no—
1220#95—611no—
1221#95—611no—
1222#95—611no—
1223#95—611no—
1224#95—611no—
1225#95—611no—
1226#95—611no—
1227#95—611no—
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#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#95C22×D6111yescharacteristic
1248#95C22×D6111yescharacteristic
1249#95C22×D6111yescharacteristic
1250#95C22×D6111yescharacteristic
1251#95C22×D6111yescharacteristic
1252#95C22×D6111yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—41no—
1258C24—41no—
1259C24—611no—
1260C24—611no—
1261C24—611no—
1262C24—1222no—
1263C24—1222no—
1264C24—1222no—
1265C24—1222no—
1266C24—1222no—
1267C24—2441no—
1268C24—2441no—
1269C24#1175822614yes—
1270C24C23×D6111yescharacteristic
1271C24C23×D6111yescharacteristic
1272C24C23×D6111yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×D4—614no—
1277C2×D4—614no—
1278C2×D4—1222no—
1279C2×D4—1222no—
1280C2×D4—1222no—
1281C2×D4—1222no—
1282C2×D4—1222no—
1283C2×D4—1222no—
1284C2×D4—12232no—
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—2441no—
1299C2×D4—2441no—
1300C2×D4—2441no—
1301C2×D4—2441no—
1302C2×D4—2441no—
1303C2×D4—2441no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—611no—
1317C22×C4—611no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—614no—
1322C22×C4—614no—
1323C22×C4—611no—
1324C22×C4—611no—
1325C22×C4—611no—
1326C22×C4—611no—
1327C22×C4—611no—
1328C22×C4—611no—
1329C22×C4—611no—
1330C22×C4—611no—
1331C22×C4—1222no—
1332C22×C4—1222no—
1333C22×C4—1222no—
1334C22×C4—1222no—
1335C22×C4—1222no—
1336C22×C4—1222no—
1337C22×C4—1222no—
1338C22×C4—1222no—
1339C22×C4—1222no—
1340C22×C4—1222no—
1341C22×C4—1222no—
1342C22×C4—1222no—
1343C22×C4—1222no—
1344C22×C4—1222no—
1345C22×C4—1222no—
1346C22×C4—1222no—
1347C22×C4—1222no—
1348C22×C4—1222no—
1349C22×C4—1222no—
1350C22×C4—1222no—
1351C22×C4—1222no—
1352C22×C4—1222no—
1353C22×C4—1222no—
1354C22×C4—2441no—
1355C22×C4—2441no—
1356C22×C4—2441no—
1357C22×C4—2441no—
1358C22×C4—2441no—
1359C22×C4—2441no—
1360C22×C4—2441no—
1361C22×C4—2441no—
1362C22×C4—24416no—
1363C22×C4—2441no—
1364C22×C4—2441no—
1365C22×C4—2441no—
1366C22×C4—2441no—
1367C22×C4—2441no—
1368C22×C4—2441no—
1369C22×C4—2441no—
1370C22×C4—2441no—
1371C22×C4—2441no—
1372C22×C4—24416no—
1373C22×C4C23×D6111yescharacteristic
1374C22×C4C23×D6111yescharacteristic
1375C22×C4C23×D6111yescharacteristic
1376C22×C4C23×D6111yescharacteristic
1377C22×C4C23×D6111yescharacteristic
1378C22×C4C23×D6111yescharacteristic
1379C22×C4C23×D6111yescharacteristic
1380C22×C4C23×D6111yescharacteristic
1381C22×C4C23×D6111yescharacteristic
1382C22×C4C23×D6111yescharacteristic
1383C22×C4C23×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—614no—
1395C4⋊C4—1222no—
1396C4⋊C4—1222no—
1397C4⋊C4—1222no—
1398C4⋊C4—1222no—
1399C4⋊C4—1222no—
1400C4⋊C4—1222no—
1401C4⋊C4—1222no—
1402C4⋊C4—1222no—
1403C4⋊C4—1222no—
1404C4⋊C4—1222no—
1405C4⋊C4—1222no—
1406C4⋊C4—1222no—
1407C4⋊C4—1222no—
1408C4⋊C4—1222no—
1409C4⋊C4—1222no—
1410C4⋊C4—1222no—
1411C4⋊C4—1222no—
1412C4⋊C4—1222no—
1413C4⋊C4—1222no—
1414C4⋊C4—2441no—
1415C4⋊C4—2441no—
1416C4⋊C4—2441no—
1417C4⋊C4—2441no—
1418C4⋊C4—2441no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—614no—
1433C22⋊C4—1222no—
1434C22⋊C4—1222no—
1435C22⋊C4—1222no—
1436C22⋊C4—1222no—
1437C22⋊C4—1222no—
1438C22⋊C4—1222no—
1439C22⋊C4—1222no—
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—1222no—
1453C22⋊C4—1222no—
1454C22⋊C4—1222no—
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⋊C4D4×D6114yes—
1467C42—614no—
1468C42—1222no—
1469C42—1222no—
1470C42—1222no—
1471C42—1222no—
1472C42—2441no—
1473C42—2441no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—28no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—612no—
1496C23—612no—
1497C23—1228no—
1498C23—1221no—
1499C23—1221no—
1500C23—1221no—
1501C23—1221no—
1502C23—1221no—
1503C23—1221no—
1504C23—1221no—
1505C23—1221no—
1506C23—1221no—
1507C23—1221no—
1508C23—1221no—
1509C23—1221no—
1510C23—1221no—
1511C23—1221no—
1512C23—1221no—
1513C23—1221no—
1514C23—1221no—
1515C23—1221no—
1516C23—1221no—
1517C23—2444no—
1518C23—2444no—
1519C23—2444no—
1520C23—2444no—
1521C23—2444no—
1522C23—2444no—
1523C23C2×D4×D6112yes—
1524C23#41×D6112yes—
1525C23C2×#1175822612yes—
1526C23C2×#1175822612yes—
1527C23C2×#1175822612yes—
1528C23#1451982212yes—
1529C23#1451982412yes—
1530C23C24×D6111yescharacteristic
1531Q8—82no—
1532D4—1228no—
1533D4—1228no—
1534D4—1228no—
1535D4—1228no—
1536D4—4882no—
1537D4—4882no—
1538D4—2444no—
1539D4—2444no—
1540D4—2444no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—82no—
1578C2×C4—82no—
1579C2×C4—612no—
1580C2×C4—612no—
1581C2×C4—612no—
1582C2×C4—612no—
1583C2×C4—612no—
1584C2×C4—1228no—
1585C2×C4—1228no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—1221no—
1593C2×C4—1221no—
1594C2×C4—1221no—
1595C2×C4—1221no—
1596C2×C4—1221no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—1221no—
1611C2×C4—1221no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—1221no—
1619C2×C4—1221no—
1620C2×C4—4882no—
1621C2×C4—2444no—
1622C2×C4—2444no—
1623C2×C4—2444no—
1624C2×C4—2444no—
1625C2×C4—2444no—
1626C2×C4—2444no—
1627C2×C4—2444no—
1628C2×C4—2444no—
1629C2×C4—2444no—
1630C2×C4—2444no—
1631C2×C4—2444no—
1632C2×C4C2×D4×D6112yes—
1633C2×C4C2×D4×D6112yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—416no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—1222no—
1655C22—1222no—
1656C22—1222no—
1657C22—1222no—
1658C22—1222no—
1659C22—1222no—
1660C22—24416no—
1661C22—2441no—
1662C22—2441no—
1663C22—2441no—
1664C22—2441no—
1665C22—2441no—
1666C22—2441no—
1667C22—2441no—
1668C22—2441no—
1669C22—2441no—
1670C22—2441no—
1671C22—2441no—
1672C22—2441no—
1673C22—2441no—
1674C22—2441no—
1675C22—2441no—
1676C22#1684027514yes—
1677C22#1684036114yescomplemented
1678C22C22×D4×D6111yescharacteristic
1679C22C2×#41×D6111yescharacteristic
1680C22C22×#1175822611yescharacteristic
1681C22H(5,𝔽2)×D6111yescharacteristic
1682C22C2×#1451982211yescharacteristic
1683C22C2×#1451982411yescharacteristic
1684C22#1684059711yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—1222no—
1698C4—1222no—
1699C4—1222no—
1700C4—1222no—
1701C4—1222no—
1702C4—2441no—
1703C4—2441no—
1704C4—2441no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—4881no—
1714C2—2442no—
1715C2—2442no—
1716C2C2×#1684027511yescharacteristic
1717C2C2×#1684036111yescharacteristic
1718C2#2145923111yescharacteristic
1719C2#2145944711yescharacteristic
1720C2#2145949011yescharacteristic
1721C2#2145975211yescharacteristic
1722C2#2145985711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2437C2
prime radical#21449187C2
hypercenter#2437D61
hypocenterC61#34991
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. C2×#16840361C2semidirect
2. C22×#14519737C2semidirect
3. #21454136C2semidirect
4. #21454127C2semidirect
5. #21454114C2semidirect
6. #21454103C2semidirect
7. #21451742C2semidirect
8. #21451723C2semidirect
9. #21451693C2semidirect
10. #21451665C2semidirect
11. #21450072C2semidirect
12. #21449967C2semidirect
13. #21449858C2semidirect
14. #21449816C2semidirect
15. #21449774C2semidirect
16. #21449702C2semidirect
17. #21449624C2semidirect
18. #21449624C2semidirect
19. #21449558C2semidirect
20. #21449368C2semidirect
21. #21449302C2semidirect
22. #21449287C2semidirect
23. #21449209C2semidirect
25. #21449147C2semidirect
26. #21448519C2semidirect
27. #21448487C2semidirect
28. #21448447C2semidirect
29. #21448318C2semidirect
30. C2×#16839634C2semidirect
31. C61×#2437C2semidirect
36. C2×#14519772C22semidirect
37. C2×#14519772C22semidirect
38. C2×#14519768C22semidirect
39. C2×#14519768C22semidirect
40. C2×#14519762C22semidirect
41. C2×#14519762C22semidirect
42. C2×#14519762C22semidirect
45. C2×#14519761C22semidirect
46. C2×#14519753C22semidirect
47. C2×#14519753C22semidirect
48. C2×#14519753C22semidirect
63. C2×#14519737C22semidirect
64. C2×#14519737C22semidirect
66. C22×#11758196C22semidirect
67. C22×#11758196C22semidirect
71. #16839704C22semidirect
72. #16839697C22semidirect
73. #16839697C22semidirect
74. #16839695C22semidirect
75. #16839695C22semidirect
76. #16839695C22semidirect
77. #16839694C22semidirect
78. #16839691C22semidirect
79. #16839691C22semidirect
80. #16839689C22semidirect
81. #16839688C22semidirect
82. #16839687C22semidirect
83. #16839687C22semidirect
84. #16839684C22semidirect
85. #16839684C22semidirect
86. #16839681C22semidirect
87. #16839680C22semidirect
88. #16839679C22semidirect
95. #16839678C22semidirect
96. #16839678C22semidirect
99. #16839661C22semidirect
100. #16839658C22semidirect
101. #16839658C22semidirect
102. #16839658C22semidirect
103. #16839654C22semidirect
104. #16839654C22semidirect
105. #16839652C22semidirect
106. #16839652C22semidirect
107. #16839652C22semidirect
108. #16839651C22semidirect
109. #16839651C22semidirect
110. #16839651C22semidirect
111. #16839649C22semidirect
112. #16839649C22semidirect
113. #16839649C22semidirect
114. #16839648C22semidirect
115. #16839645C22semidirect
116. #16839645C22semidirect
117. #16839645C22semidirect
118. #16839645C22semidirect
119. #16839643C22semidirect
120. #16839643C22semidirect
125. #16839640C22semidirect
126. #16839640C22semidirect
127. #16839640C22semidirect
132. #16839639C22semidirect
133. #16839639C22semidirect
134. #16839639C22semidirect
138. #16839637C22semidirect
144. #16839634C22semidirect
145. #16839634C22semidirect
146. #16839634C22semidirect
147. #16839634C22semidirect
148. #16839634C22semidirect
149. #16839634C22semidirect
150. #16839633C22semidirect
151. #16839633C22semidirect
152. #16839633C22semidirect
153. #16839633C22semidirect
154. #16839633C22semidirect
155. #16839633C22semidirect
156. #16839633C22semidirect
157. #16839629C22semidirect
158. #16839627C22semidirect
159. #16839624C22semidirect
160. #16839624C22semidirect
161. #16839623C22semidirect
164. #16839619C22semidirect
165. #16839619C22semidirect
170. C22⋊C4×Dic61C22semidirect
171. C22⋊C4×Dic61C22semidirect
172. C2×#14519684C22semidirect
173. C2×#14519684C22semidirect
175. C2×C22⋊Q8×C61C22semidirect
178. C61×#399C22semidirect
179. C61×#396C22semidirect
180. C61×#396C22semidirect
181. C61×#393C22semidirect
184. C61×#385C22semidirect
185. C61×#385C22semidirect
187. C61×#380C22semidirect
249. #14519737D4semidirect
794. C22×C61#539semidirect
868. #2437D61semidirect
911. C2×C22⋊Q8C2×D61semidirect
939. #399C2×D61semidirect
952. #396C2×D61semidirect
953. #396C2×D61semidirect
965. #393C2×D61semidirect
1028. #385C2×D61semidirect
1029. #385C2×D61semidirect
1040. #380C2×D61semidirect
1050. C61#34991semidirect
1677. C22#16840361semidirect

Maximal subgroups

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

subgroupindex
C2×#168403612
C22×#145197372
#214541362
#214541272
#214541142
#214541032
#214517422
#214517232
#214516932
#214516652
#214500722
#214499672
#214498582
#214498162
#214497742
#214497022
#214496242
#214495582
#214493682
#214493022
#214492872
#214492092
#214491872
#214491472
#214485192
#214484872
#214484472
#214483182
C2×#168396342
C61×#24372
#3499161