Finite Group Databasebeta

← #29886791

Subgroups — #29886791

Order 15616.

2406 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840351C211yesmaximal, characteristic
2C2×C22⋊Q8×D61C211yesmaximal, characteristic, complemented
3#21454114C211yesmaximal, characteristic, complemented
4#21454112C211yesmaximal, characteristic, complemented
5#21452265C211yesmaximal, characteristic, complemented
6#21452264C211yesmaximal, characteristic, complemented
7#21452263C211yesmaximal, characteristic, complemented
8#21452247C211yesmaximal, characteristic, complemented
9#21452245C211yesmaximal, characteristic, complemented
10#21452242C211yesmaximal, characteristic, complemented
11#21452240C211yesmaximal, characteristic, complemented
12#21452106C211yesmaximal, characteristic, complemented
13#21452104C211yesmaximal, characteristic, complemented
14#21452103C211yesmaximal, characteristic, complemented
15#21452101C211yesmaximal, characteristic, complemented
16#21452069C211yesmaximal, characteristic, complemented
17#21452068C211yesmaximal, characteristic, complemented
18#21452067C211yesmaximal, characteristic, complemented
19#21452066C211yesmaximal, characteristic, complemented
20#21451593C211yesmaximal, characteristic, complemented
21#21451593C211yesmaximal, characteristic, complemented
22#21451295C211yesmaximal, characteristic, complemented
23#21451197C211yesmaximal, characteristic, complemented
24#21451170C211yesmaximal, characteristic, complemented
25#21451167C211yesmaximal, characteristic, complemented
26#21450134C211yesmaximal, characteristic, complemented
27#21450131C211yesmaximal, characteristic, complemented
28#21449476C211yesmaximal, characteristic, complemented
29#21449458C211yesmaximal, characteristic, complemented
30#21448413C211yesmaximal, characteristic, complemented
31C61×#2689C211yesmaximal, characteristic, complemented
32C22×Q8×D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34#16840351—28no—
35C2×#14519776C2211yescharacteristic, complemented
36C2×#14519776C2211yescharacteristic, complemented
37C2×#14519772C2211yescharacteristic
38C2×#14519766C2211yescharacteristic, complemented
39C2×#14519765C2211yescharacteristic
40C2×#14519765C2211yescharacteristic, complemented
41C2×#14519763C2211yescharacteristic
42C2×#14519762C2211yescharacteristic
43C2×#14519762C2211yescharacteristic
44C2×#14519762C2211yescharacteristic
45C2×#14519761C2211yescharacteristic
46C2×#14519760C2211yescharacteristic
47C2×#14519759C2211yescharacteristic
48C2×#14519757C2211yescharacteristic
49C2×#14519756C2211yescharacteristic
50C2×#14519755C2211yescharacteristic
51C2×#14519755C2211yescharacteristic
52C2×#14519755C2211yescharacteristic
53C2×#14519754C2211yescharacteristic
54C2×#14519754C2211yescharacteristic
55C2×#14519753C2211yescharacteristic
56C22⋊Q8×D61—28no—
57C2×#14519752C2211yescharacteristic
58C2×#14519752C2211yescharacteristic
59C2×#14519750C2211yescharacteristic
60C2×#14519747C2211yescharacteristic
61C2×#14519747C2211yescharacteristic
62C2×C4×D244C2211yescharacteristic
63C2×#14519739C2211yescharacteristic
64C2×C4⋊C4×D61C2211yescharacteristic
65C2×C4⋊C4×D61C2211yescharacteristic
66C2×C4⋊C4×D61C2211yescharacteristic
67C2×C22⋊C4×D61C2211yescharacteristic
68C2×C22⋊C4×D61C2211yescharacteristic
69#16839704C2211yescharacteristic, complemented
70#16839704C2211yescharacteristic, complemented
71#16839701C2211yescharacteristic, complemented
72#16839700C2211yescharacteristic, complemented
73#16839699C2211yescharacteristic, complemented
74#16839697C2211yescharacteristic, complemented
75#16839697C2211yescharacteristic, complemented
76#16839697C2211yescharacteristic, complemented
77#16839696C2211yescharacteristic, complemented
78#16839696C2211yescharacteristic, complemented
79#16839695C2211yescharacteristic, complemented
80#16839695C2211yescharacteristic, complemented
81#16839694C2211yescharacteristic, complemented
82#16839691C2211yescharacteristic
83#16839691C2211yescharacteristic
84#16839690C2211yescharacteristic
85#16839690C2211yescharacteristic
86#16839689C2211yescharacteristic
87#16839689C2211yescharacteristic
88#16839686C2211yescharacteristic, complemented
89#16839684C2211yescharacteristic, complemented
90#16839684C2211yescharacteristic, complemented
91#16839684C2211yescharacteristic, complemented
92#16839683C2211yescharacteristic, complemented
93#16839683C2211yescharacteristic, complemented
94#16839682C2211yescharacteristic, complemented
95#16839682C2211yescharacteristic, complemented
96#16839681C2211yescharacteristic, complemented
97#16839680C2211yescharacteristic
98#16839680C2211yescharacteristic
99#16839680C2211yescharacteristic, complemented
100#16839679C2211yescharacteristic
101#16839679C2211yescharacteristic
102#16839679C2211yescharacteristic, complemented
103#16839678C2211yescharacteristic
104#16839678C2211yescharacteristic
105#16839677C2211yescharacteristic
106#16839677C2211yescharacteristic
107#16839675C2211yescharacteristic, complemented
108#16839675C2211yescharacteristic, complemented
109#16839675C2211yescharacteristic, complemented
110#16839675C2211yescharacteristic, complemented
111#16839667C2211yescharacteristic, complemented
112#16839666C2211yescharacteristic, complemented
113#16839666C2211yescharacteristic, complemented
114#16839660C2211yescharacteristic, complemented
115#16839660C2211yescharacteristic, complemented
116#16839659C2211yescharacteristic, complemented
117#16839659C2211yescharacteristic, complemented
118#16839657C2211yescharacteristic, complemented
119#16839657C2211yescharacteristic, complemented
120#16839656C2211yescharacteristic
121#16839655C2211yescharacteristic
122#16839654C2211yescharacteristic
123#16839654C2211yescharacteristic, complemented
124#16839654C2211yescharacteristic, complemented
125#16839653C2211yescharacteristic
126#16839652C2211yescharacteristic
127#16839651C2211yescharacteristic
128#16839651C2211yescharacteristic, complemented
129#16839651C2211yescharacteristic, complemented
130#16839650C2211yescharacteristic
131#16839649C2211yescharacteristic, complemented
132#16839646C2211yescharacteristic, complemented
133#16839645C2211yescharacteristic, complemented
134#16839641C2211yescharacteristic
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic
137#16839640C2211yescharacteristic
138#16839640C2211yescharacteristic
139#16839640C2211yescharacteristic
140#16839640C2211yescharacteristic
141#16839640C2211yescharacteristic
142#16839640C2211yescharacteristic
143#16839640C2211yescharacteristic
144#16839640C2211yescharacteristic
145#16839639C2211yescharacteristic
146#16839636C2211yescharacteristic
147#16839636C2211yescharacteristic
148#16839636C2211yescharacteristic
149#16839636C2211yescharacteristic
150#16839636C2211yescharacteristic
151#16839636C2211yescharacteristic
152#16839636C2211yescharacteristic, complemented
153#16839636C2211yescharacteristic, complemented
154#16839634C2211yescharacteristic
155#16839633C2211yescharacteristic
156#16839633C2211yescharacteristic
157#16839633C2211yescharacteristic
158#16839633C2211yescharacteristic
159#16839633C2211yescharacteristic, complemented
160#16839633C2211yescharacteristic, complemented
161#16839624C2211yescharacteristic
162#16839624C2211yescharacteristic
163#16839623C2211yescharacteristic
164#16839621C2211yescharacteristic
165#16839621C2211yescharacteristic, complemented
166#16839621C2211yescharacteristic, complemented
167#16839619C2211yescharacteristic
168#16839619C2211yescharacteristic, complemented
169#16839619C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic
171#16839617C2211yescharacteristic
172C4×#11758198C2211yescharacteristic
173#16839609C2211yescharacteristic
174C2×#126×C61C2211yescharacteristic
175C2×C22⋊Q8×C61C2211yescharacteristic
176C61×#400C2211yescharacteristic, complemented
177C61×#400C2211yescharacteristic, complemented
178C61×#398C2211yescharacteristic, complemented
179C61×#397C2211yescharacteristic
180C61×#397C2211yescharacteristic
181C61×#395C2211yescharacteristic, complemented
182C61×#391C2211yescharacteristic, complemented
183C61×#389C2211yescharacteristic, complemented
184C61×#389C2211yescharacteristic, complemented
185C61×#388C2211yescharacteristic
186C61×#387C2211yescharacteristic, complemented
187C61×#385C2211yescharacteristic
188C61×#381C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×Dic122C2311yescharacteristic
193C22×Dic122C2311yescharacteristic
194C2×Q8×D61—24no—
195C2×Q8×D61—42no—
196C2×Q8×D61—42no—
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C22×C4×D61—24no—
206C22×C4×D61—42no—
207C22×C4×D61—42no—
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218#14519776—42no—
219#14519776—42no—
220#14519772—24no—
221#14519766—42no—
222#14519765—24no—
223#14519765—42no—
224#14519763—24no—
225#14519762—24no—
226#14519762—42no—
227#14519762—42no—
228#14519761—42no—
229#14519760—42no—
230#14519759—24no—
231#14519757—24no—
232#14519756—24no—
233#14519755—24no—
234#14519755—24no—
235#14519755—24no—
236#14519754—24no—
237#14519754—24no—
238#14519753—24no—
239#14519752—24no—
240#14519752—24no—
241#14519750—24no—
242#14519747—24no—
243#14519747—24no—
244C4×D244—24no—
245#14519739—24no—
246C2×C4⋊Dic61C2311yescharacteristic
247C2×C4⋊Dic61C2311yescharacteristic
248C2×C4⋊Dic61C2311yescharacteristic
249C2×C4⋊Dic61C2311yescharacteristic
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×C4⋊Dic61C2311yescharacteristic
254C2×C4⋊Dic61C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C4⋊C4×D61—24no—
274C4⋊C4×D61—24no—
275C4⋊C4×D61—24no—
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C22⋊C4×D61—24no—
317C22⋊C4×D61D418yes—
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
348C22×Q8×C61C2311yescharacteristic
349C23×C4×C61C2311yescharacteristic
350#126×C61—24no—
351C22⋊Q8×C61—24no—
352C2×C4⋊C4×C61C2311yescharacteristic
353C2×C4⋊C4×C61C2311yescharacteristic
354C2×C4⋊C4×C61C2311yescharacteristic
355C2×C4⋊C4×C61C2311yescharacteristic
356C2×C4⋊C4×C61C2311yescharacteristic
357C2×C4⋊C4×C61C2311yescharacteristic
358C2×C4⋊C4×C61C2311yescharacteristic
359C2×C4⋊C4×C61C2311yescharacteristic
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C42×C61C2311yescharacteristic
370C2×C42×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376#95×C61C2311yescharacteristic
377#95×C61C2311yescharacteristic
378#95×C61C2311yescharacteristic
379#95×C61C2311yescharacteristic
380#95×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382#95×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385C24×C61C2411yescharacteristic
386C23×D61—22no—
387C23×D61—22no—
388C23×D61—41no—
389C23×D61—41no—
390C23×D61—41no—
391C23×D61—41no—
392C23×D61C2×D414yes—
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C2×Q8×C61—22no—
398C2×Q8×C61—22no—
399C2×Q8×C61—41no—
400C22×C4×C61—22no—
401C22×C4×C61—22no—
402C22×C4×C61—41no—
403C22×C4×C61C2411yescharacteristic
404C22×C4×C61C2411yescharacteristic
405C22×C4×C61C2411yescharacteristic
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C2×C22⋊D61—22no—
418C2×C22⋊D61—22no—
419C2×C22⋊D61—41no—
420C2×C22⋊D61—41no—
421C2×C22⋊D61—41no—
422C2×C22⋊D61—41no—
423C22×Dic61—22no—
424C22×Dic61—22no—
425C22×Dic61—41no—
426C22×Dic61C2411yescharacteristic
427C22×Dic61C2411yescharacteristic
428C22×Dic61C2411yescharacteristic
429C22×Dic61C2411yescharacteristic
430C22×Dic61C2411yescharacteristic
431C22×Dic61C2411yescharacteristic
432C22×Dic61C2411yescharacteristic
433C22×Dic61C2411yescharacteristic
434C22×Dic61C2411yescharacteristic
435C22×Dic61C2411yescharacteristic
436C22×Dic61C2411yescharacteristic
437C22×Dic61C2411yescharacteristic
438Q8×D61—416no—
439C2×D244—22no—
440C2×D244—22no—
441C2×D244—22no—
442C2×D244—22no—
443C2×D244—22no—
444C2×D244—22no—
445C2×D244—22no—
446C2×D244—22no—
447C2×D244—22no—
448C2×D244—41no—
449C2×D244—41no—
450C2×D244—41no—
451C2×D244—41no—
452C2×D244—41no—
453C2×D244—41no—
454C2×C4×D61—22no—
455C2×C4×D61—22no—
456C2×C4×D61—22no—
457C2×C4×D61—22no—
458C2×C4×D61—22no—
459C2×C4×D61—22no—
460C2×C4×D61—22no—
461C2×C4×D61—22no—
462C2×C4×D61—22no—
463C2×C4×D61—22no—
464C2×C4×D61—22no—
465C2×C4×D61—22no—
466C2×C4×D61—416no—
467C2×C4×D61—41no—
468C2×C4×D61—41no—
469C2×C4×D61—41no—
470C2×C4×D61—41no—
471C2×C4×D61—41no—
472C2×C4×D61—41no—
473C2×C4×D61—41no—
474C2×C4×D61—41no—
475C2×C4×D61—41no—
476C2×C4×D61—41no—
477C2×C4×D61—41no—
478C2×C4×D61—41no—
479C2×C4×D61—41no—
480C2×C4×D61—41no—
481C2×C4×D61—41no—
482C2×C4×D61—41no—
483C2×C4×D61C2×D414yes—
484C2×C4×D61C2×D414yes—
485C2×Dic122—22no—
486C2×Dic122—22no—
487C2×Dic122—22no—
488C2×Dic122—22no—
489C2×Dic122—22no—
490C2×Dic122—22no—
491C2×Dic122—22no—
492C2×Dic122—41no—
493C2×Dic122—41no—
494C2×Dic122—41no—
495C2×Dic122—41no—
496C2×Dic122—41no—
497C4⋊C4×C61—22no—
498C4⋊C4×C61—22no—
499C4⋊C4×C61—22no—
500C4⋊C4×C61—22no—
501C4⋊C4×C61—22no—
502C4⋊C4×C61—22no—
503C4⋊C4×C61—22no—
504C4⋊C4×C61—41no—
505C4⋊C4×C61—41no—
506C4⋊C4×C61—41no—
507C4⋊C4×C61—41no—
508C22⋊C4×C61—22no—
509C22⋊C4×C61—22no—
510C22⋊C4×C61—22no—
511C22⋊C4×C61—41no—
512C22⋊C4×C61—41no—
513C22⋊C4×C61C2×D414yes—
514C42×C61—22no—
515C42×C61—41no—
516C22⋊Dic61—22no—
517C22⋊Dic61—41no—
518C22⋊Dic61—41no—
519C22⋊Dic61C2×D414yes—
520#11758198—22no—
521#11758198—22no—
522#11758198—22no—
523#11758198—22no—
524#11758198—22no—
525#11758198—22no—
526#11758198—22no—
527#11758198—22no—
528#11758198—22no—
529#11758198—22no—
530#11758198—22no—
531#11758198—22no—
532#11758198—22no—
533#11758198—22no—
534#11758198—22no—
535#11758198—22no—
536#11758198—22no—
537#11758198—22no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198—41no—
543#11758198—41no—
544#11758198—41no—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548#11758198—41no—
549#11758198—41no—
550#11758198—41no—
551#11758198—41no—
552#11758198—41no—
553#11758198—41no—
554#11758198C2×D414yes—
555#11758198C2×D414yes—
556C4⋊Dic61—22no—
557C4⋊Dic61—22no—
558C4⋊Dic61—22no—
559C4⋊Dic61—22no—
560C4⋊Dic61—22no—
561C4⋊Dic61—41no—
562C4⋊Dic61—41no—
563C4⋊Dic61—41no—
564C4⋊Dic61—41no—
565#11758196—22no—
566#11758196—22no—
567#11758196—22no—
568#11758196—22no—
569#11758196—22no—
570#11758196—22no—
571#11758196—22no—
572#11758196—22no—
573#11758196—22no—
574#11758196—22no—
575#11758196—41no—
576#11758196—41no—
577#11758196—41no—
578#11758196—41no—
579#11758196—41no—
580#11758196—41no—
581#11758196—41no—
582#11758196—41no—
583C4×Dic61—22no—
584C4×Dic61—41no—
585C4×Dic61—41no—
586C4×Dic61—41no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61C22×D412yes—
594C23×C61C2511yescharacteristic
595C22×D61—21no—
596C22×D61—21no—
597C22×D61—21no—
598C22×D61—21no—
599C22×D61—21no—
600C22×D61—21no—
601C22×D61—21no—
602C22×D61—21no—
603C22×D61—21no—
604C22×D61—21no—
605C22×D61—28no—
606C22×D61—21no—
607C22×D61—21no—
608C22×D61—21no—
609C22×D61—21no—
610C22×D61—21no—
611C22×D61—21no—
612C22×D61—21no—
613C22×D61—21no—
614C22×D61—21no—
615C22×D61—21no—
616C22×D61—21no—
617C22×D61—21no—
618C22×D61—21no—
619C22×D61—21no—
620C22×D61—44no—
621C22×D61—44no—
622C22×D61—44no—
623C22×D61—44no—
624C22×D61—44no—
625C22×D61—44no—
626C22×D61C22×D412yes—
627C22×D61C22×D412yes—
628C22×D612−1+412yes—
629C22×D612−1+412yes—
630Q8×C61—44no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—44no—
671C2×C4×C61C22×D412yes—
672C2×C4×C61C22×D412yes—
673C2×C4×C61H(5,𝔽2)12yes—
674C22⋊D61—82no—
675C22⋊D61—82no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—44no—
710C2×Dic61C22×D412yes—
711C2×Dic61C22×D412yes—
712C2×Dic61H(5,𝔽2)12yes—
713D244—44no—
714D244—44no—
715D244—82no—
716D244—82no—
717D244—82no—
718C4×D61—28no—
719C4×D61—44no—
720C4×D61—44no—
721C4×D61—44no—
722C4×D61—44no—
723C4×D61—44no—
724C4×D61—44no—
725C4×D61—44no—
726C4×D61—82no—
727C4×D61—82no—
728Dic122—44no—
729Dic122—44no—
730Dic122—44no—
731Dic122—82no—
732#36705—611nomaximal, Sylow
733C22×C61—22no—
734C22×C61—22no—
735C22×C61—22no—
736C22×C61—41no—
737C22×C61—41no—
738C22×C61—41no—
739C22×C61—41no—
740C22×C61C23×D411yescharacteristic
741C22×C61C2×H(5,𝔽2)11yescharacteristic
742C22×C61C2×H(5,𝔽2)11yescharacteristic
743C22×C61C2×2−1+411yescharacteristic
744C22×C61C2×2−1+411yescharacteristic
745C22×C61#58511yescharacteristic
746C22×C61#58511yescharacteristic
747C2×D61—22no—
748C2×D61—22no—
749C2×D61—22no—
750C2×D61—22no—
751C2×D61—22no—
752C2×D61—22no—
753C2×D61—22no—
754C2×D61—22no—
755C2×D61—22no—
756C2×D61—416no—
757C2×D61—41no—
758C2×D61—41no—
759C2×D61—41no—
760C2×D61—41no—
761C2×D61—41no—
762C2×D61—41no—
763C2×D61—41no—
764C2×D61—41no—
765C2×D61—41no—
766C2×D61—41no—
767C2×D61—41no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61—41no—
773C2×D61—41no—
774C2×D61—41no—
775C2×D61#53614yes—
776C4×C61—22no—
777C4×C61—22no—
778C4×C61—22no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789C4×C61—41no—
790Dic61—22no—
791Dic61—22no—
792Dic61—22no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801Dic61—41no—
802C2×#538—611no—
803C22×C22⋊Q8—611no—
804#2849—611no—
805#2849—611no—
806#2689—611no—
807#2689—611no—
808#2689—611no—
809#2689D6111yescharacteristic, complemented
810#2687—611no—
811#2687—611no—
812#2687—611no—
813#2687—611no—
814#2674—611no—
815#2674—611no—
816#2674—611no—
817#2674—611no—
818#2672—611no—
819#2672—611no—
820#2672—611no—
821#2672—611no—
822#2622—611no—
823#2622—611no—
824#2591—611no—
825#2583—611no—
826#2579—611no—
827#2579—611no—
828#2487—611no—
829#2487—611no—
830#2436—611no—
831#2434—611no—
832#2312—611no—
833C2×C61—42no—
834C2×C61C2×#53611yescharacteristic
835C2×C61#348411yescharacteristic
836C2×C61#348511yescharacteristic
837C2×C61#354111yescharacteristic
838C2×C61#354111yescharacteristic
839C2×C61#354111yescharacteristic
840C2×C61#354111yescharacteristic
841D61—24no—
842D61—42no—
843D61—81no—
844D61—81no—
845C23×Q8—611no—
846C24×C4—611no—
847#538—1228no—
848C2×C4⋊Q8—611no—
849C2×C4⋊Q8—611no—
850C2×#126—611no—
851C2×#126C2×D6111yescharacteristic
852C2×#124—611no—
853C2×#124—611no—
854C2×#124—611no—
855C2×#124—611no—
856C2×#123—611no—
857C2×#123—611no—
858C2×#123—611no—
859C2×#123—611no—
860C2×#123—611no—
861C2×#123—611no—
862C2×C22⋊Q8—611no—
863C2×C22⋊Q8—611no—
864C2×C22⋊Q8—611no—
865C2×C22⋊Q8—611no—
866C2×C22⋊Q8—611no—
867C2×C22⋊Q8—611no—
868C2×C22⋊Q8—611no—
869C2×C22⋊Q8—611no—
870C2×C22⋊Q8—1228no—
871C2×C22⋊Q8C2×D6111yescharacteristic
872C2×#121—611no—
873C2×#121—611no—
874C2×#121—611no—
875C2×#120—611no—
876C2×#120—611no—
877C2×C4×D4—611no—
878C2×C4×D4—611no—
879C22×C4⋊C4—611no—
880C22×C4⋊C4—611no—
881C22×C4⋊C4—611no—
882C22×C22⋊C4—611no—
883C22×C22⋊C4—611no—
884#400—611no—
885#400—611no—
886#400—611no—
887#400—611no—
888#400C2×D6111yescharacteristic, complemented
889#400C2×D6111yescharacteristic, complemented
890#399—611no—
891#399—611no—
892#399—611no—
893#399—611no—
894#398—611no—
895#398—611no—
896#398—611no—
897#398—611no—
898#398—611no—
899#398C2×D6111yescharacteristic, complemented
900#397—611no—
901#397—611no—
902#397—611no—
903#397—611no—
904#397—611no—
905#397—611no—
906#397C2×D6111yescharacteristic
907#397C2×D6111yescharacteristic
908#396—611no—
909#396—611no—
910#396—611no—
911#396—611no—
912#395—611no—
913#395—611no—
914#395—611no—
915#395—611no—
916#395—611no—
917#395C2×D6111yescharacteristic, complemented
918#394—611no—
919#394—611no—
920#394—611no—
921#394—611no—
922#394—611no—
923#394—611no—
924#394—611no—
925#394—611no—
926#394—611no—
927#394—611no—
928#393—611no—
929#393—611no—
930#393—611no—
931#393—611no—
932#391—611no—
933#391—611no—
934#391—611no—
935#391C2×D6111yescharacteristic, complemented
936#389—611no—
937#389—611no—
938#389—611no—
939#389—611no—
940#389—611no—
941#389—611no—
942#389C2×D6111yescharacteristic, complemented
943#389C2×D6111yescharacteristic, complemented
944#388—611no—
945#388—611no—
946#388—611no—
947#388—611no—
948#388—611no—
949#388—611no—
950#388—611no—
951#388—611no—
952#388—611no—
953#388—611no—
954#388—611no—
955#388C2×D6111yescharacteristic
956#387—611no—
957#387—611no—
958#387—611no—
959#387C2×D6111yescharacteristic, complemented
960#386—611no—
961#386—611no—
962#386—611no—
963#386—611no—
964#386—611no—
965#386—611no—
966#386—611no—
967#386—611no—
968#386—611no—
969#386—611no—
970#386—611no—
971#386—611no—
972#385—611no—
973#385—611no—
974#385—611no—
975#385—611no—
976#385—611no—
977#385—611no—
978#385—611no—
979#385—611no—
980#385—611no—
981#385—611no—
982#385—611no—
983#385—611no—
984#385—611no—
985#385—611no—
986#385—611no—
987#385C2×D6111yescharacteristic
988#381—611no—
989#381—611no—
990#381—611no—
991#381C2×D6111yescharacteristic
992#380—611no—
993#380—611no—
994#380—611no—
995#380—611no—
996#380—611no—
997#380—611no—
998#379—611no—
999#379—611no—
1000C4×C22⋊C4—611no—
1001C4×C22⋊C4—611no—
1002C61#3670511yescharacteristic, complemented, Sylow
1003C25—611no—
1004C22×Q8—611no—
1005C22×Q8—611no—
1006C22×Q8—611no—
1007C22×Q8—611no—
1008C22×Q8—1224no—
1009C22×Q8—2442no—
1010C22×Q8—2442no—
1011C22×Q8C22×D6111yescharacteristic
1012C22×D4—611no—
1013C22×D4—611no—
1014C22×D4—611no—
1015C22×D4—611no—
1016C22×D4—611no—
1017C22×D4—611no—
1018C22×D4—611no—
1019C23×C4—611no—
1020C23×C4—611no—
1021C23×C4—611no—
1022C23×C4—611no—
1023C23×C4—611no—
1024C23×C4—611no—
1025C23×C4—611no—
1026C23×C4—611no—
1027C23×C4—611no—
1028C23×C4—611no—
1029C23×C4—611no—
1030C23×C4—1224no—
1031C23×C4—2442no—
1032C23×C4—2442no—
1033C23×C4C22×D6111yescharacteristic
1034C4⋊Q8—2442no—
1035C4⋊Q8—2442no—
1036#126—24no—
1037#126—1224no—
1038#124—1224no—
1039#124—1224no—
1040#124—2442no—
1041#124—2442no—
1042#123—1224no—
1043#123—1224no—
1044#123—2442no—
1045#123—2442no—
1046#123—2442no—
1047#123—2442no—
1048C22⋊Q8—24no—
1049C22⋊Q8—1224no—
1050C22⋊Q8—1224no—
1051C22⋊Q8—1224no—
1052C22⋊Q8—1224no—
1053C22⋊Q8—1224no—
1054C22⋊Q8—1224no—
1055C22⋊Q8—1224no—
1056C22⋊Q8—1224no—
1057#121—1224no—
1058#121—1224no—
1059#121—1224no—
1060#120—1224no—
1061#120—1224no—
1062C4×D4—1224no—
1063C4×D4—1224no—
1064C2×C4⋊C4—611no—
1065C2×C4⋊C4—611no—
1066C2×C4⋊C4—611no—
1067C2×C4⋊C4—611no—
1068C2×C4⋊C4—611no—
1069C2×C4⋊C4—611no—
1070C2×C4⋊C4—611no—
1071C2×C4⋊C4—611no—
1072C2×C4⋊C4—611no—
1073C2×C4⋊C4—611no—
1074C2×C4⋊C4—611no—
1075C2×C4⋊C4—611no—
1076C2×C4⋊C4—611no—
1077C2×C4⋊C4—611no—
1078C2×C4⋊C4—611no—
1079C2×C4⋊C4—611no—
1080C2×C4⋊C4—611no—
1081C2×C4⋊C4—611no—
1082C2×C4⋊C4—611no—
1083C2×C4⋊C4—611no—
1084C2×C4⋊C4—611no—
1085C2×C4⋊C4—611no—
1086C2×C4⋊C4—611no—
1087C2×C4⋊C4—611no—
1088C2×C4⋊C4—611no—
1089C2×C4⋊C4—611no—
1090C2×C4⋊C4—611no—
1091C2×C4⋊C4—1224no—
1092C2×C4⋊C4—1224no—
1093C2×C4⋊C4—1224no—
1094C2×C4⋊C4C22×D6111yescharacteristic
1095C2×C4⋊C4C22×D6111yescharacteristic
1096C2×C4⋊C4C22×D6111yescharacteristic
1097C2×C4⋊C4C22×D6111yescharacteristic
1098C2×C4⋊C4C22×D6111yescharacteristic
1099C2×C4⋊C4C22×D6111yescharacteristic
1100C2×C4⋊C4C22×D6111yescharacteristic
1101C2×C4⋊C4C22×D6111yescharacteristic
1102C2×C4⋊C4C22×D6111yescharacteristic
1103C2×C4⋊C4C22×D6111yescharacteristic
1104C2×C4⋊C4C22×D6111yescharacteristic
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—618no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—611no—
1121C2×C22⋊C4—611no—
1122C2×C22⋊C4—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—611no—
1125C2×C22⋊C4—611no—
1126C2×C22⋊C4—611no—
1127C2×C22⋊C4—611no—
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—611no—
1138C2×C22⋊C4—611no—
1139C2×C22⋊C4—611no—
1140C2×C22⋊C4—611no—
1141C2×C22⋊C4—611no—
1142C2×C22⋊C4—611no—
1143C2×C22⋊C4—611no—
1144C2×C22⋊C4—611no—
1145C2×C22⋊C4—611no—
1146C2×C22⋊C4—1224no—
1147C2×C22⋊C4C22×D6111yescharacteristic
1148C2×C22⋊C4C22×D6111yescharacteristic
1149C2×C22⋊C4C22×D6111yescharacteristic
1150C2×C22⋊C4C22×D6111yescharacteristic
1151C2×C22⋊C4C22×D6111yescharacteristic
1152C2×C22⋊C4C22×D6111yescharacteristic
1153C2×C42—611no—
1154C2×C42—611no—
1155C2×C42—611no—
1156C2×C42—611no—
1157C2×C42C22×D6111yescharacteristic
1158C2×C42C22×D6111yescharacteristic
1159#95—611no—
1160#95—611no—
1161#95—611no—
1162#95—611no—
1163#95—611no—
1164#95—611no—
1165#95—611no—
1166#95—611no—
1167#95—611no—
1168#95—611no—
1169#95—611no—
1170#95—611no—
1171#95—611no—
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95—611no—
1180#95—611no—
1181#95—611no—
1182#95—611no—
1183#95—611no—
1184#95—611no—
1185#95C22×D6111yescharacteristic
1186#95C22×D6111yescharacteristic
1187#95C22×D6111yescharacteristic
1188#95C22×D6111yescharacteristic
1189#95C22×D6111yescharacteristic
1190#95C22×D6111yescharacteristic
1191#95C22×D6111yescharacteristic
1192#95C22×D6111yescharacteristic
1193#95C22×D6111yescharacteristic
1194#95C22×D6111yescharacteristic
1195#95C22×D6111yescharacteristic
1196#95C22×D6111yescharacteristic
1197#95C22×D6111yescharacteristic
1198#95C22×D6111yescharacteristic
1199C24—611no—
1200C24—611no—
1201C24—614no—
1202C24—611no—
1203C24—611no—
1204C24—1222no—
1205C24—1222no—
1206C24—2441no—
1207C24—2441no—
1208C24—2441no—
1209C24—2441no—
1210C24C23×D6111yescharacteristic
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—41no—
1214C2×Q8—1222no—
1215C2×Q8—1222no—
1216C2×Q8—1222no—
1217C2×Q8—1222no—
1218C2×Q8—1222no—
1219C2×Q8—1222no—
1220C2×Q8—1222no—
1221C2×Q8—2441no—
1222C2×Q8—2441no—
1223C2×Q8—2441no—
1224C2×Q8—2441no—
1225C2×Q8—2441no—
1226C2×Q8—24416no—
1227C2×D4—1222no—
1228C2×D4—1222no—
1229C2×D4—1222no—
1230C2×D4—1222no—
1231C2×D4—1222no—
1232C2×D4—1222no—
1233C2×D4—1222no—
1234C2×D4—1222no—
1235C2×D4—1222no—
1236C2×D4—1222no—
1237C2×D4—1222no—
1238C2×D4—2441no—
1239C2×D4—2441no—
1240C2×D4—2441no—
1241C2×D4—2441no—
1242C2×D4—2441no—
1243C2×D4—2441no—
1244C2×D4—2441no—
1245C2×D4—2441no—
1246C2×D4—2441no—
1247C2×D4—2441no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—41no—
1251C22×C4—611no—
1252C22×C4—611no—
1253C22×C4—611no—
1254C22×C4—614no—
1255C22×C4—614no—
1256C22×C4—611no—
1257C22×C4—611no—
1258C22×C4—611no—
1259C22×C4—611no—
1260C22×C4—611no—
1261C22×C4—611no—
1262C22×C4—611no—
1263C22×C4—611no—
1264C22×C4—611no—
1265C22×C4—1222no—
1266C22×C4—1222no—
1267C22×C4—1222no—
1268C22×C4—1222no—
1269C22×C4—1222no—
1270C22×C4—1222no—
1271C22×C4—1222no—
1272C22×C4—1222no—
1273C22×C4—1222no—
1274C22×C4—1222no—
1275C22×C4—1222no—
1276C22×C4—1222no—
1277C22×C4—1222no—
1278C22×C4—1222no—
1279C22×C4—2441no—
1280C22×C4—2441no—
1281C22×C4—2441no—
1282C22×C4—2441no—
1283C22×C4—2441no—
1284C22×C4—2441no—
1285C22×C4—2441no—
1286C22×C4—2441no—
1287C22×C4—2441no—
1288C22×C4—2441no—
1289C22×C4—2441no—
1290C22×C4—2441no—
1291C22×C4—2441no—
1292C22×C4—2441no—
1293C22×C4—2441no—
1294C22×C4—2441no—
1295C22×C4—24416no—
1296C22×C4—2441no—
1297C22×C4C23×D6111yescharacteristic
1298C22×C4C23×D6111yescharacteristic
1299C22×C4C23×D6111yescharacteristic
1300C22×C4C23×D6111yescharacteristic
1301C22×C4C23×D6111yescharacteristic
1302C22×C4C23×D6111yescharacteristic
1303C22×C4C23×D6111yescharacteristic
1304C22×C4C23×D6111yescharacteristic
1305C22×C4C23×D6111yescharacteristic
1306C22×C4C23×D6111yescharacteristic
1307C22×C4C23×D6111yescharacteristic
1308C22×C4C23×D6111yescharacteristic
1309C22×C4C23×D6111yescharacteristic
1310C22×C4C23×D6111yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—1222no—
1323C4⋊C4—1222no—
1324C4⋊C4—1222no—
1325C4⋊C4—1222no—
1326C4⋊C4—1222no—
1327C4⋊C4—1222no—
1328C4⋊C4—1222no—
1329C4⋊C4—1222no—
1330C4⋊C4—1222no—
1331C4⋊C4—1222no—
1332C4⋊C4—1222no—
1333C4⋊C4—1222no—
1334C4⋊C4—1222no—
1335C4⋊C4—1222no—
1336C4⋊C4—1222no—
1337C4⋊C4—2441no—
1338C4⋊C4—2441no—
1339C4⋊C4—2441no—
1340C4⋊C4—2441no—
1341C4⋊C4—2441no—
1342C4⋊C4—2441no—
1343C4⋊C4—2441no—
1344C4⋊C4—2441no—
1345C4⋊C4—2441no—
1346C4⋊C4—2441no—
1347C4⋊C4—2441no—
1348C4⋊C4—2441no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—614no—
1355C22⋊C4—614no—
1356C22⋊C4—614no—
1357C22⋊C4—1222no—
1358C22⋊C4—1222no—
1359C22⋊C4—1222no—
1360C22⋊C4—1222no—
1361C22⋊C4—1222no—
1362C22⋊C4—1222no—
1363C22⋊C4—1222no—
1364C22⋊C4—1222no—
1365C22⋊C4—1222no—
1366C22⋊C4—1222no—
1367C22⋊C4—1222no—
1368C22⋊C4—1222no—
1369C22⋊C4—1222no—
1370C22⋊C4—1222no—
1371C22⋊C4—1222no—
1372C22⋊C4—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⋊C4D4×D6114yes—
1395C42—22no—
1396C42—41no—
1397C42—1222no—
1398C42—2441no—
1399C42—2441no—
1400C42—2441no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—612no—
1408C23—612no—
1409C23—612no—
1410C23—612no—
1411C23—1228no—
1412C23—1221no—
1413C23—1221no—
1414C23—1221no—
1415C23—1221no—
1416C23—1221no—
1417C23—1221no—
1418C23—1221no—
1419C23—1221no—
1420C23—1221no—
1421C23—1221no—
1422C23—1221no—
1423C23—1221no—
1424C23—1221no—
1425C23—1221no—
1426C23—1221no—
1427C23—1221no—
1428C23—1221no—
1429C23—1221no—
1430C23—1221no—
1431C23—1221no—
1432C23—1221no—
1433C23—1221no—
1434C23—1221no—
1435C23—1221no—
1436C23—2444no—
1437C23—2444no—
1438C23—2444no—
1439C23—2444no—
1440C23—2444no—
1441C23—2444no—
1442C23C2×D4×D6112yes—
1443C23C24×D6111yescharacteristic
1444Q8—44no—
1445Q8—4882no—
1446Q8—2444no—
1447Q8—2444no—
1448Q8—2444no—
1449D4—4882no—
1450D4—4882no—
1451D4—4882no—
1452D4—4882no—
1453D4—4882no—
1454D4—2444no—
1455D4—2444no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—44no—
1496C2×C4—612no—
1497C2×C4—612no—
1498C2×C4—612no—
1499C2×C4—1228no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—1221no—
1504C2×C4—1221no—
1505C2×C4—1221no—
1506C2×C4—1221no—
1507C2×C4—1221no—
1508C2×C4—1221no—
1509C2×C4—1221no—
1510C2×C4—1221no—
1511C2×C4—1221no—
1512C2×C4—1221no—
1513C2×C4—1221no—
1514C2×C4—1221no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—1221no—
1526C2×C4—1221no—
1527C2×C4—1221no—
1528C2×C4—1221no—
1529C2×C4—1221no—
1530C2×C4—1221no—
1531C2×C4—1221no—
1532C2×C4—1221no—
1533C2×C4—4882no—
1534C2×C4—4882no—
1535C2×C4—2444no—
1536C2×C4—2444no—
1537C2×C4—2444no—
1538C2×C4—2444no—
1539C2×C4—2444no—
1540C2×C4—2444no—
1541C2×C4—2444no—
1542C2×C4—2444no—
1543C2×C4C2×D4×D6112yes—
1544C2×C4C2×D4×D6112yes—
1545C2×C4#1451982312yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—614no—
1554C22—1222no—
1555C22—1222no—
1556C22—1222no—
1557C22—1222no—
1558C22—1222no—
1559C22—1222no—
1560C22—1222no—
1561C22—1222no—
1562C22—1222no—
1563C22—24416no—
1564C22—2441no—
1565C22—2441no—
1566C22—2441no—
1567C22—2441no—
1568C22—2441no—
1569C22—2441no—
1570C22—2441no—
1571C22—2441no—
1572C22—2441no—
1573C22—2441no—
1574C22—2441no—
1575C22—2441no—
1576C22—2441no—
1577C22—2441no—
1578C22—2441no—
1579C22—2441no—
1580C22—2441no—
1581C22—2441no—
1582C22C22×D4×D6111yescharacteristic
1583C22H(5,𝔽2)×D6111yescharacteristic
1584C22C2×#1451982311yescharacteristic
1585C222−1+4×D6111yescharacteristic
1586C222−1+4×D6111yescharacteristic
1587C22#1684059811yescharacteristic
1588C22#1684059911yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—1222no—
1604C4—1222no—
1605C4—1222no—
1606C4—2441no—
1607C4—2441no—
1608C4—2441no—
1609C4—2441no—
1610C4—2441no—
1611C4—2441no—
1612C4—2441no—
1613C4—2441no—
1614C4—2441no—
1615C2—42no—
1616C2—1224no—
1617C2—4881no—
1618C2—4881no—
1619C2—2442no—
1620C2#536×D6111yescharacteristic
1621C2#2145944911yescharacteristic
1622C2#2145945811yescharacteristic
1623C2#2146010911yescharacteristic
1624C2#2146011111yescharacteristic
1625C2#2146011811yescharacteristic
1626C2#2146011911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2689C2
prime radicalC2×#16840351C2
hypercenter#2689D61
hypocenterC61#36705
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2689

Complements

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

NH ≅ G/Ntype
2. C2×C22⋊Q8×D61C2semidirect
3. #21454114C2semidirect
4. #21454112C2semidirect
5. #21452265C2semidirect
6. #21452264C2semidirect
7. #21452263C2semidirect
8. #21452247C2semidirect
9. #21452245C2semidirect
10. #21452242C2semidirect
11. #21452240C2semidirect
12. #21452106C2semidirect
13. #21452104C2semidirect
14. #21452103C2semidirect
15. #21452101C2semidirect
16. #21452069C2semidirect
17. #21452068C2semidirect
18. #21452067C2semidirect
19. #21452066C2semidirect
20. #21451593C2semidirect
21. #21451593C2semidirect
22. #21451295C2semidirect
23. #21451197C2semidirect
24. #21451170C2semidirect
25. #21451167C2semidirect
26. #21450134C2semidirect
27. #21450131C2semidirect
28. #21449476C2semidirect
29. #21449458C2semidirect
30. #21448413C2semidirect
31. C61×#2689C2semidirect
35. C2×#14519776C22semidirect
36. C2×#14519776C22semidirect
38. C2×#14519766C22semidirect
40. C2×#14519765C22semidirect
69. #16839704C22semidirect
70. #16839704C22semidirect
71. #16839701C22semidirect
72. #16839700C22semidirect
73. #16839699C22semidirect
74. #16839697C22semidirect
75. #16839697C22semidirect
76. #16839697C22semidirect
77. #16839696C22semidirect
78. #16839696C22semidirect
79. #16839695C22semidirect
80. #16839695C22semidirect
81. #16839694C22semidirect
88. #16839686C22semidirect
89. #16839684C22semidirect
90. #16839684C22semidirect
91. #16839684C22semidirect
92. #16839683C22semidirect
93. #16839683C22semidirect
94. #16839682C22semidirect
95. #16839682C22semidirect
96. #16839681C22semidirect
99. #16839680C22semidirect
102. #16839679C22semidirect
107. #16839675C22semidirect
108. #16839675C22semidirect
109. #16839675C22semidirect
110. #16839675C22semidirect
111. #16839667C22semidirect
112. #16839666C22semidirect
113. #16839666C22semidirect
114. #16839660C22semidirect
115. #16839660C22semidirect
116. #16839659C22semidirect
117. #16839659C22semidirect
118. #16839657C22semidirect
119. #16839657C22semidirect
123. #16839654C22semidirect
124. #16839654C22semidirect
128. #16839651C22semidirect
129. #16839651C22semidirect
131. #16839649C22semidirect
132. #16839646C22semidirect
133. #16839645C22semidirect
152. #16839636C22semidirect
153. #16839636C22semidirect
159. #16839633C22semidirect
160. #16839633C22semidirect
165. #16839621C22semidirect
166. #16839621C22semidirect
168. #16839619C22semidirect
169. #16839619C22semidirect
176. C61×#400C22semidirect
177. C61×#400C22semidirect
178. C61×#398C22semidirect
181. C61×#395C22semidirect
182. C61×#391C22semidirect
183. C61×#389C22semidirect
184. C61×#389C22semidirect
186. C61×#387C22semidirect
809. #2689D61semidirect
888. #400C2×D61semidirect
889. #400C2×D61semidirect
899. #398C2×D61semidirect
917. #395C2×D61semidirect
935. #391C2×D61semidirect
942. #389C2×D61semidirect
943. #389C2×D61semidirect
959. #387C2×D61semidirect
1002. C61#36705semidirect

Maximal subgroups

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

subgroupindex
C2×#168403512
C2×C22⋊Q8×D612
#214541142
#214541122
#214522652
#214522642
#214522632
#214522472
#214522452
#214522422
#214522402
#214521062
#214521042
#214521032
#214521012
#214520692
#214520682
#214520672
#214520662
#214515932
#214512952
#214511972
#214511702
#214511672
#214501342
#214501312
#214494762
#214494582
#214484132
C61×#26892
#3670561