Finite Group Databasebeta

← #29886893

Subgroups — #29886893

Order 15616.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840378C211yesmaximal, characteristic, complemented
2C2×#16840268C211yesmaximal, characteristic, complemented
3#21454113C211yesmaximal, characteristic, complemented
4#21454104C211yesmaximal, characteristic, complemented
5#21452364C211yesmaximal, characteristic, complemented
6#21452361C211yesmaximal, characteristic, complemented
7#21452308C211yesmaximal, characteristic, complemented
8#21452305C211yesmaximal, characteristic, complemented
9#21452264C211yesmaximal, characteristic, complemented
10#21452227C211yesmaximal, characteristic, complemented
11#21452199C211yesmaximal, characteristic, complemented
12#21452131C211yesmaximal, characteristic, complemented
13#21452117C211yesmaximal, characteristic, complemented
14#21452102C211yesmaximal, characteristic, complemented
15#21452098C211yesmaximal, characteristic, complemented
16#21452068C211yesmaximal, characteristic, complemented
17#21452061C211yesmaximal, characteristic, complemented
18#21452041C211yesmaximal, characteristic, complemented
19#21452027C211yesmaximal, characteristic, complemented
20#21451735C211yesmaximal, characteristic, complemented
21#21451657C211yesmaximal, characteristic, complemented
22#21451492C211yesmaximal, characteristic, complemented
23#21451436C211yesmaximal, characteristic, complemented
24#21451393C211yesmaximal, characteristic, complemented
25#21451380C211yesmaximal, characteristic, complemented
26#21451175C211yesmaximal, characteristic, complemented
27#21450994C211yesmaximal, characteristic, complemented
28#21449449C211yesmaximal, characteristic, complemented
29#21449424C211yesmaximal, characteristic, complemented
30#21448449C211yesmaximal, characteristic, complemented
31C61×#2685C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C24×Dic61C2211yescharacteristic
34#16840378—28no—
35C2×#14519777C2211yescharacteristic, complemented
36C2×#14519776C2211yescharacteristic, complemented
37C2×#14519772C2211yescharacteristic, complemented
38C2×#14519765C2211yescharacteristic, complemented
39C2×#14519764C2211yescharacteristic
40C2×#14519763C2211yescharacteristic
41C2×#14519763C2211yescharacteristic
42#16840268—28no—
43C2×#14519762C2211yescharacteristic, complemented
44C2×#14519761C2211yescharacteristic
45C2×#14519761C2211yescharacteristic
46C2×#14519761C2211yescharacteristic
47C2×#14519758C2211yescharacteristic
48C2×#14519757C2211yescharacteristic, complemented
49C2×#14519755C2211yescharacteristic, complemented
50C2×#14519754C2211yescharacteristic
51C2×#14519754C2211yescharacteristic
52C2×#14519754C2211yescharacteristic
53C2×#14519754C2211yescharacteristic
54C2×#14519754C2211yescharacteristic
55C2×#14519750C2211yescharacteristic
56C2×#14519750C2211yescharacteristic
57C2×#14519750C2211yescharacteristic, complemented
58C2×#14519749C2211yescharacteristic
59C2×#14519749C2211yescharacteristic
60C2×#14519746C2211yescharacteristic
61C2×#14519746C2211yescharacteristic
62C2×C4×Dic122C2211yescharacteristic, complemented
63C2×D4×Dic61C2211yescharacteristic
64C2×D4×Dic61C2211yescharacteristic
65C2×#14519737C2211yescharacteristic
66C2×#14519737C2211yescharacteristic
67C2×#14519735C2211yescharacteristic, complemented
68C2×#14519733C2211yescharacteristic
69#16839701C2211yescharacteristic, complemented
70#16839700C2211yescharacteristic, complemented
71#16839699C2211yescharacteristic, complemented
72#16839698C2211yescharacteristic
73#16839698C2211yescharacteristic, complemented
74#16839696C2211yescharacteristic, complemented
75#16839695C2211yescharacteristic, complemented
76#16839695C2211yescharacteristic, complemented
77#16839694C2211yescharacteristic, complemented
78#16839691C2211yescharacteristic, complemented
79#16839690C2211yescharacteristic
80#16839690C2211yescharacteristic
81#16839690C2211yescharacteristic
82#16839690C2211yescharacteristic, complemented
83#16839687C2211yescharacteristic
84#16839685C2211yescharacteristic, complemented
85#16839684C2211yescharacteristic, complemented
86#16839684C2211yescharacteristic, complemented
87#16839683C2211yescharacteristic, complemented
88#16839683C2211yescharacteristic, complemented
89#16839682C2211yescharacteristic, complemented
90#16839682C2211yescharacteristic, complemented
91#16839680C2211yescharacteristic, complemented
92#16839678C2211yescharacteristic
93#16839678C2211yescharacteristic
94#16839678C2211yescharacteristic
95#16839678C2211yescharacteristic
96#16839678C2211yescharacteristic, complemented
97#16839678C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic
99#16839677C2211yescharacteristic, complemented
100#16839676C2211yescharacteristic
101#16839675C2211yescharacteristic, complemented
102#16839674C2211yescharacteristic
103#16839674C2211yescharacteristic
104#16839674C2211yescharacteristic
105#16839674C2211yescharacteristic, complemented
106#16839674C2211yescharacteristic, complemented
107#16839671C2211yescharacteristic
108#16839670C2211yescharacteristic
109#16839670C2211yescharacteristic
110#16839670C2211yescharacteristic
111#16839667C2211yescharacteristic, complemented
112#16839665C2211yescharacteristic
113#16839662C2211yescharacteristic
114#16839661C2211yescharacteristic, complemented
115#16839660C2211yescharacteristic, complemented
116#16839657C2211yescharacteristic, complemented
117#16839656C2211yescharacteristic
118#16839655C2211yescharacteristic
119#16839655C2211yescharacteristic
120#16839655C2211yescharacteristic, complemented
121#16839653C2211yescharacteristic, complemented
122#16839651C2211yescharacteristic, complemented
123#16839650C2211yescharacteristic
124#16839648C2211yescharacteristic, complemented
125#16839648C2211yescharacteristic, complemented
126#16839647C2211yescharacteristic, complemented
127#16839646C2211yescharacteristic, complemented
128#16839646C2211yescharacteristic, complemented
129#16839645C2211yescharacteristic, complemented
130#16839644C2211yescharacteristic, complemented
131#16839644C2211yescharacteristic, complemented
132#16839639C2211yescharacteristic
133#16839639C2211yescharacteristic
134#16839639C2211yescharacteristic
135#16839639C2211yescharacteristic
136#16839639C2211yescharacteristic, complemented
137#16839638C2211yescharacteristic
138#16839638C2211yescharacteristic
139#16839638C2211yescharacteristic
140#16839638C2211yescharacteristic
141#16839638C2211yescharacteristic
142#16839638C2211yescharacteristic
143#16839638C2211yescharacteristic
144#16839638C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839637C2211yescharacteristic
147#16839637C2211yescharacteristic
148#16839637C2211yescharacteristic
149#16839637C2211yescharacteristic
150#16839637C2211yescharacteristic
151#16839637C2211yescharacteristic
152#16839637C2211yescharacteristic
153#16839637C2211yescharacteristic, complemented
154#16839637C2211yescharacteristic, complemented
155#16839636C2211yescharacteristic, complemented
156#16839634C2211yescharacteristic
157#16839634C2211yescharacteristic
158#16839634C2211yescharacteristic
159#16839634C2211yescharacteristic, complemented
160#16839633C2211yescharacteristic, complemented
161#16839633C2211yescharacteristic, complemented
162#16839629C2211yescharacteristic, complemented
163#16839627C2211yescharacteristic, complemented
164#16839623C2211yescharacteristic
165#16839623C2211yescharacteristic
166#16839620C2211yescharacteristic
167#16839620C2211yescharacteristic
168#16839620C2211yescharacteristic
169#16839619C2211yescharacteristic, complemented
170#16839619C2211yescharacteristic, complemented
171#16839618C2211yescharacteristic
172C4×#11758198C2211yescharacteristic, complemented
173#95×D61C2211yescharacteristic, complemented
174C2×#126×C61C2211yescharacteristic
175C2×#120×C61C2211yescharacteristic
176C61×#399C2211yescharacteristic
177C61×#396C2211yescharacteristic
178C61×#394C2211yescharacteristic
179C61×#394C2211yescharacteristic
180C61×#394C2211yescharacteristic
181C61×#394C2211yescharacteristic
182C61×#390C2211yescharacteristic
183C61×#390C2211yescharacteristic
184C61×#388C2211yescharacteristic
185C61×#388C2211yescharacteristic
186C61×#388C2211yescharacteristic
187C61×#379C2211yescharacteristic
188C61×#379C2211yescharacteristic
189C2×#11758224—24no—
190C2×#11758224—42no—
191C2×#11758224—42no—
192C22×Dic122C2311yescharacteristic
193C22×Dic122C2311yescharacteristic
194C22×Dic122C2311yescharacteristic
195C22×Dic122C2311yescharacteristic
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
205C23×Dic61—24no—
206C23×Dic61—42no—
207C23×Dic61—42no—
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219#14519777—42no—
220#14519776—24no—
221#14519772—24no—
222#14519765—24no—
223#14519764—42no—
224#14519763—24no—
225#14519763—24no—
226#14519762—24no—
227#14519761—24no—
228#14519761—24no—
229#14519761—42no—
230#14519758—24no—
231#14519757—24no—
232#14519755—24no—
233#14519754—24no—
234#14519754—24no—
235#14519754—24no—
236#14519754—42no—
237#14519754—42no—
238#14519750—24no—
239#14519750—42no—
240#14519750—42no—
241#14519749—24no—
242#14519749—24no—
243#14519746—24no—
244#14519746—42no—
245C4×Dic122—24no—
246D4×Dic61—24no—
247D4×Dic61—24no—
248#14519737—24no—
249#14519737D418yescomplemented
250#14519735—24no—
251#14519733—24no—
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×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×C4⋊Dic61C2311yescharacteristic
263C2×C4⋊Dic61C2311yescharacteristic
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⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
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×C4×Dic61C2311yescharacteristic
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
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348C25×C61C2311yescharacteristic
349C22×D4×C61C2311yescharacteristic
350C22×D4×C61C2311yescharacteristic
351C22×D4×C61C2311yescharacteristic
352#126×C61—24no—
353#120×C61—24no—
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×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊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×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
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×C42×C61C2311yescharacteristic
380C2×C42×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382#95×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385C24×C61—22no—
386C24×C61—22no—
387C24×C61—22no—
388C24×C61—41no—
389C24×C61—41no—
390C24×C61—41no—
391C24×C61—41no—
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C24×C61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C23×D61C2411yescharacteristic
398C2×D4×C61—22no—
399C2×D4×C61—22no—
400C2×D4×C61—22no—
401C2×D4×C61—22no—
402C2×D4×C61—22no—
403C2×D4×C61—41no—
404C2×D4×C61—41no—
405C2×D4×C61—41no—
406C2×D4×C61—41no—
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
417C22×C4×C61C2411yescharacteristic
418C2×C22⋊D61—22no—
419C2×C22⋊D61—22no—
420C2×C22⋊D61—22no—
421C2×C22⋊D61—22no—
422C2×C22⋊D61—22no—
423C2×C22⋊D61—22no—
424C2×C22⋊D61—22no—
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61—41no—
428C2×C22⋊D61—41no—
429C2×C22⋊D61—41no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61—41no—
432C2×C22⋊D61—41no—
433C2×C22⋊D61—41no—
434C2×C22⋊D61—41no—
435C2×C22⋊D61—41no—
436C2×C22⋊D61—41no—
437C2×C22⋊D61—41no—
438C2×C22⋊D61—41no—
439C2×C22⋊D61—41no—
440C2×C22⋊D61—41no—
441C2×C22⋊D61C2×D414yes—
442C22×Dic61—22no—
443C22×Dic61—22no—
444C22×Dic61—22no—
445C22×Dic61—22no—
446C22×Dic61—22no—
447C22×Dic61—22no—
448C22×Dic61—22no—
449C22×Dic61—22no—
450C22×Dic61—22no—
451C22×Dic61—22no—
452C22×Dic61—22no—
453C22×Dic61—41no—
454C22×Dic61—41no—
455C22×Dic61—41no—
456C22×Dic61—41no—
457C22×Dic61—41no—
458C22×Dic61—41no—
459C22×Dic61—41no—
460C22×Dic61—41no—
461C22×Dic61—41no—
462C22×Dic61—416no—
463C22×Dic61C2×D414yes—
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478#11758224—416no—
479C2×D244—22no—
480C2×D244—41no—
481C2×D244—41no—
482C2×C4×D61—22no—
483C2×C4×D61—41no—
484C2×C4×D61—41no—
485C2×C4×D61—41no—
486C2×C4×D61—41no—
487C2×C4×D61—41no—
488C2×C4×D61—41no—
489C2×C4×D61—41no—
490C2×C4×D61—41no—
491C2×C4×D61—41no—
492C2×C4×D61—41no—
493C2×C4×D61C2×D414yes—
494C2×Dic122—22no—
495C2×Dic122—22no—
496C2×Dic122—22no—
497C2×Dic122—22no—
498C2×Dic122—22no—
499C2×Dic122—41no—
500C2×Dic122—41no—
501C2×Dic122—41no—
502C2×Dic122—41no—
503C2×Dic122—41no—
504C2×Dic122—41no—
505C2×Dic122—41no—
506C4⋊C4×C61—22no—
507C4⋊C4×C61—22no—
508C4⋊C4×C61—22no—
509C4⋊C4×C61—41no—
510C4⋊C4×C61—41no—
511C4⋊C4×C61—41no—
512C22⋊C4×C61—22no—
513C22⋊C4×C61—22no—
514C22⋊C4×C61—22no—
515C22⋊C4×C61—22no—
516C22⋊C4×C61—22no—
517C22⋊C4×C61—22no—
518C22⋊C4×C61—41no—
519C22⋊C4×C61—41no—
520C22⋊C4×C61—41no—
521C22⋊C4×C61—41no—
522C22⋊C4×C61—41no—
523C22⋊C4×C61—41no—
524C22⋊C4×C61—41no—
525C22⋊C4×C61—41no—
526C22⋊C4×C61—41no—
527C22⋊C4×C61—41no—
528C22⋊C4×C61—41no—
529C22⋊C4×C61—41no—
530C22⋊C4×C61C2×D414yes—
531C42×C61—22no—
532C42×C61—41no—
533C22⋊Dic61—22no—
534C22⋊Dic61—22no—
535C22⋊Dic61—22no—
536C22⋊Dic61—22no—
537C22⋊Dic61—22no—
538C22⋊Dic61—22no—
539C22⋊Dic61—22no—
540C22⋊Dic61—22no—
541C22⋊Dic61—41no—
542C22⋊Dic61—41no—
543C22⋊Dic61—41no—
544C22⋊Dic61—41no—
545C22⋊Dic61—41no—
546C22⋊Dic61—41no—
547C22⋊Dic61—41no—
548C22⋊Dic61—41no—
549C22⋊Dic61—41no—
550#11758198—22no—
551#11758198—22no—
552#11758198—22no—
553#11758198—22no—
554#11758198—22no—
555#11758198—22no—
556#11758198—22no—
557#11758198—22no—
558#11758198—22no—
559#11758198—41no—
560#11758198—41no—
561#11758198—41no—
562#11758198—41no—
563#11758198—41no—
564#11758198—41no—
565#11758198C2×D414yes—
566C4⋊Dic61—22no—
567C4⋊Dic61—22no—
568C4⋊Dic61—22no—
569C4⋊Dic61—22no—
570C4⋊Dic61—22no—
571C4⋊Dic61—22no—
572C4⋊Dic61—22no—
573C4⋊Dic61—41no—
574C4⋊Dic61—41no—
575C4⋊Dic61—41no—
576C4⋊Dic61—41no—
577C4⋊Dic61—41no—
578#11758196—22no—
579#11758196—22no—
580#11758196—22no—
581#11758196—22no—
582#11758196—22no—
583#11758196—22no—
584#11758196—22no—
585#11758196—41no—
586#11758196—41no—
587#11758196—41no—
588#11758196—41no—
589#11758196—41no—
590#11758196—41no—
591#11758196C2×D414yes—
592C4×Dic61—22no—
593C4×Dic61—22no—
594C4×Dic61—22no—
595C4×Dic61—41no—
596C4×Dic61C2×D414yes—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61—21no—
605C23×C61—21no—
606C23×C61—21no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—44no—
623C23×C61—44no—
624C23×C61—44no—
625C23×C61—44no—
626C23×C61—44no—
627C23×C61—44no—
628C23×C61—44no—
629C23×C61C22×D412yes—
630C23×C61H(5,𝔽2)12yes—
631C23×C612−1+412yes—
632C23×C61C2511yescharacteristic
633C22×D61—21no—
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61C22×D412yes—
647D4×C61—44no—
648D4×C61—44no—
649D4×C61—44no—
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—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×C61C22×D412yes—
682C2×C4×C61C22×D412yes—
683C22⋊D61—44no—
684C22⋊D61—44no—
685C22⋊D61—44no—
686C22⋊D61—44no—
687C22⋊D61—82no—
688C22⋊D61—82no—
689C22⋊D61—82no—
690C22⋊D61—82no—
691C2×Dic61—28no—
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—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—44no—
731C2×Dic61—44no—
732C2×Dic61—44no—
733C2×Dic61—44no—
734C2×Dic61—44no—
735C2×Dic61—44no—
736C2×Dic61C22×D412yes—
737C2×Dic61C22×D412yes—
738C2×Dic61C22×D412yes—
739C2×Dic61H(5,𝔽2)12yes—
740D244—82no—
741C4×D61—44no—
742C4×D61—44no—
743C4×D61—82no—
744C4×D61—82no—
745Dic122—44no—
746Dic122—44no—
747Dic122—82no—
748Dic122—82no—
749#36712—611nomaximal, Sylow
750C22×C61—22no—
751C22×C61—22no—
752C22×C61—22no—
753C22×C61—22no—
754C22×C61—22no—
755C22×C61—22no—
756C22×C61—22no—
757C22×C61—22no—
758C22×C61—22no—
759C22×C61—416no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61—41no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61—41no—
778C22×C61—41no—
779C22×C61C23×D411yescharacteristic
780C22×C61C2×H(5,𝔽2)11yescharacteristic
781C22×C61C2×H(5,𝔽2)11yescharacteristic
782C22×C61C2×2−1+411yescharacteristic
783C22×C61#58511yescharacteristic
784C22×C61#58511yescharacteristic
785C22×C61#58511yescharacteristic
786C2×D61—22no—
787C2×D61—22no—
788C2×D61—22no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C4×C61—22no—
801C4×C61—22no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61—41no—
811Dic61—22no—
812Dic61—22no—
813Dic61—22no—
814Dic61—22no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824Dic61—41no—
825C2×#542—611no—
826C2×#525—611no—
827#2849—611no—
828#2848—611no—
829#2696—611no—
830#2695—611no—
831#2692—611no—
832#2691—611no—
833#2689—611no—
834#2686—611no—
835#2685D6111yescharacteristic, complemented
836#2684—611no—
837#2677—611no—
838#2676—611no—
839#2674—611no—
840#2674—611no—
841#2672—611no—
842#2671—611no—
843#2670—611no—
844#2668—611no—
845#2638—611no—
846#2630—611no—
847#2609—611no—
848#2602—611no—
849#2599—611no—
850#2598—611no—
851#2580—611no—
852#2564—611no—
853#2432—611no—
854#2430—611no—
855#2318—611no—
856C2×C61—42no—
857C2×C61—42no—
858C2×C61—42no—
859C2×C61—81no—
860C2×C61#344911yescharacteristic
861C2×C61#348411yescharacteristic
862C2×C61#348911yescharacteristic
863C2×C61#353311yescharacteristic
864C2×C61#353511yescharacteristic
865C2×C61#354011yescharacteristic
866C2×C61#354111yescharacteristic
867D61—42no—
868D61—81no—
869C22×#41—611no—
870C24×C4—611no—
871#542—1228no—
872C2×C4⋊Q8—611no—
873C2×C4⋊Q8—611no—
874C2×#126—611no—
875C2×#126C2×D6111yescharacteristic
876C2×#124—611no—
877C2×#124—611no—
878C2×#124—611no—
879C2×#124—611no—
880#525—1228no—
881C2×#123—611no—
882C2×#123—611no—
883C2×#123—611no—
884C2×#123—611no—
885C2×#123—611no—
886C2×C22⋊Q8—611no—
887C2×C22⋊Q8—611no—
888C2×C22⋊Q8—611no—
889C2×C22⋊Q8—611no—
890C2×C22⋊Q8—611no—
891C2×C22⋊Q8—611no—
892C2×C22⋊Q8—611no—
893C2×#121—611no—
894C2×#121—611no—
895C2×#121—611no—
896C2×#121—611no—
897C2×#121—611no—
898C2×#120—611no—
899C2×#120—611no—
900C2×#120C2×D6111yescharacteristic
901C2×C4×Q8—611no—
902C2×C4×D4—611no—
903C2×C4×D4—611no—
904C2×C4×D4—611no—
905C2×C4×D4—611no—
906C2×#117—611no—
907C2×#117—611no—
908#400—611no—
909#400—611no—
910#399—611no—
911#399—611no—
912#399—611no—
913#399C2×D6111yescharacteristic
914#398—611no—
915#398—611no—
916#398—611no—
917#398—611no—
918#397—611no—
919#397—611no—
920#397—611no—
921#397—611no—
922#397—611no—
923#397—611no—
924#396—611no—
925#396—611no—
926#396—611no—
927#396C2×D6111yescharacteristic
928#395—611no—
929#395—611no—
930#395—611no—
931#395—611no—
932#394—611no—
933#394—611no—
934#394—611no—
935#394—611no—
936#394—611no—
937#394—611no—
938#394—611no—
939#394—611no—
940#394—611no—
941#394—611no—
942#394C2×D6111yescharacteristic
943#394C2×D6111yescharacteristic
944#394C2×D6111yescharacteristic
945#394C2×D6111yescharacteristic
946#393—611no—
947#393—611no—
948#393—611no—
949#393—611no—
950#393—611no—
951#393—611no—
952#392—611no—
953#392—611no—
954#392—611no—
955#392—611no—
956#391—611no—
957#390—611no—
958#390—611no—
959#390C2×D6111yescharacteristic
960#390C2×D6111yescharacteristic
961#389—611no—
962#389—611no—
963#389—611no—
964#388—611no—
965#388—611no—
966#388—611no—
967#388—611no—
968#388—611no—
969#388—611no—
970#388—611no—
971#388C2×D6111yescharacteristic
972#388C2×D6111yescharacteristic
973#388C2×D6111yescharacteristic
974#387—611no—
975#387—611no—
976#387—611no—
977#387—611no—
978#387—611no—
979#387—611no—
980#387—611no—
981#387—611no—
982#386—611no—
983#386—611no—
984#386—611no—
985#386—611no—
986#386—611no—
987#386—611no—
988#386—611no—
989#386—611no—
990#386—611no—
991#386—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#385—611no—
997#385—611no—
998#385—611no—
999#385—611no—
1000#385—611no—
1001#385—611no—
1002#385—611no—
1003#385—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#383—611no—
1013#382—611no—
1014#381—611no—
1015#381—611no—
1016#380—611no—
1017#380—611no—
1018#380—611no—
1019#380—611no—
1020#380—611no—
1021#379—611no—
1022#379C2×D6111yescharacteristic
1023#379C2×D6111yescharacteristic
1024C4×C22⋊C4—611no—
1025C2×#95—611no—
1026C61#3671211yescharacteristic, complemented, Sylow
1027C25C22×D6111yescharacteristic
1028C2×#41—1224no—
1029C2×#41—2442no—
1030C2×#41—2442no—
1031C22×Q8—611no—
1032C22×Q8—611no—
1033C22×Q8—611no—
1034C22×Q8—611no—
1035C22×D4—611no—
1036C22×D4—611no—
1037C22×D4—611no—
1038C22×D4—611no—
1039C22×D4—611no—
1040C22×D4—611no—
1041C22×D4—611no—
1042C22×D4—611no—
1043C22×D4—611no—
1044C22×D4C22×D6111yescharacteristic
1045C22×D4C22×D6111yescharacteristic
1046C22×D4C22×D6111yescharacteristic
1047C23×C4—611no—
1048C23×C4—611no—
1049C23×C4—611no—
1050C23×C4—611no—
1051C23×C4—611no—
1052C23×C4—611no—
1053C23×C4—611no—
1054C23×C4—611no—
1055C23×C4—611no—
1056C23×C4—611no—
1057C23×C4—611no—
1058C23×C4—1224no—
1059C23×C4—2442no—
1060C23×C4—2442no—
1061C4⋊Q8—1224no—
1062C4⋊Q8—2442no—
1063#126—24no—
1064#126—1224no—
1065#124—1224no—
1066#124—1224no—
1067#124—1224no—
1068#124—2442no—
1069#123—1224no—
1070#123—1224no—
1071#123—1224no—
1072#123—1224no—
1073#123—2442no—
1074C22⋊Q8—1224no—
1075C22⋊Q8—1224no—
1076C22⋊Q8—1224no—
1077C22⋊Q8—1224no—
1078C22⋊Q8—1224no—
1079C22⋊Q8—2442no—
1080C22⋊Q8—2442no—
1081#121—1224no—
1082#121—1224no—
1083#121—1224no—
1084#121—2442no—
1085#121—2442no—
1086#120—24no—
1087#120—1224no—
1088#120—2442no—
1089C4×Q8—1224no—
1090C4×D4—618no—
1091C4×D4—1224no—
1092C4×D4—1224no—
1093C4×D4—1224no—
1094#117—1224no—
1095#117—1224no—
1096C2×C4⋊C4—611no—
1097C2×C4⋊C4—611no—
1098C2×C4⋊C4—611no—
1099C2×C4⋊C4—611no—
1100C2×C4⋊C4—611no—
1101C2×C4⋊C4—611no—
1102C2×C4⋊C4—611no—
1103C2×C4⋊C4—611no—
1104C2×C4⋊C4—611no—
1105C2×C4⋊C4—611no—
1106C2×C4⋊C4—611no—
1107C2×C4⋊C4—611no—
1108C2×C4⋊C4—611no—
1109C2×C4⋊C4—611no—
1110C2×C4⋊C4—611no—
1111C2×C4⋊C4—611no—
1112C2×C4⋊C4—611no—
1113C2×C4⋊C4—611no—
1114C2×C4⋊C4—611no—
1115C2×C4⋊C4—611no—
1116C2×C4⋊C4—611no—
1117C2×C4⋊C4—611no—
1118C2×C4⋊C4—611no—
1119C2×C4⋊C4—611no—
1120C2×C4⋊C4—611no—
1121C2×C4⋊C4—611no—
1122C2×C4⋊C4C22×D6111yescharacteristic
1123C2×C4⋊C4C22×D6111yescharacteristic
1124C2×C4⋊C4C22×D6111yescharacteristic
1125C2×C4⋊C4C22×D6111yescharacteristic
1126C2×C4⋊C4C22×D6111yescharacteristic
1127C2×C4⋊C4C22×D6111yescharacteristic
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—611no—
1138C2×C22⋊C4—611no—
1139C2×C22⋊C4—611no—
1140C2×C22⋊C4—611no—
1141C2×C22⋊C4—611no—
1142C2×C22⋊C4—611no—
1143C2×C22⋊C4—611no—
1144C2×C22⋊C4—611no—
1145C2×C22⋊C4—611no—
1146C2×C22⋊C4—611no—
1147C2×C22⋊C4—611no—
1148C2×C22⋊C4—611no—
1149C2×C22⋊C4—611no—
1150C2×C22⋊C4—611no—
1151C2×C22⋊C4—611no—
1152C2×C22⋊C4—611no—
1153C2×C22⋊C4—611no—
1154C2×C22⋊C4—611no—
1155C2×C22⋊C4—611no—
1156C2×C22⋊C4—611no—
1157C2×C22⋊C4—611no—
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4C22×D6111yescharacteristic
1162C2×C22⋊C4C22×D6111yescharacteristic
1163C2×C22⋊C4C22×D6111yescharacteristic
1164C2×C22⋊C4C22×D6111yescharacteristic
1165C2×C22⋊C4C22×D6111yescharacteristic
1166C2×C22⋊C4C22×D6111yescharacteristic
1167C2×C22⋊C4C22×D6111yescharacteristic
1168C2×C22⋊C4C22×D6111yescharacteristic
1169C2×C22⋊C4C22×D6111yescharacteristic
1170C2×C22⋊C4C22×D6111yescharacteristic
1171C2×C22⋊C4C22×D6111yescharacteristic
1172C2×C22⋊C4C22×D6111yescharacteristic
1173C2×C22⋊C4C22×D6111yescharacteristic
1174C2×C22⋊C4C22×D6111yescharacteristic
1175C2×C22⋊C4C22×D6111yescharacteristic
1176C2×C22⋊C4C22×D6111yescharacteristic
1177C2×C22⋊C4C22×D6111yescharacteristic
1178C2×C22⋊C4C22×D6111yescharacteristic
1179C2×C22⋊C4C22×D6111yescharacteristic
1180C2×C42—611no—
1181C2×C42—611no—
1182C2×C42—611no—
1183C2×C42—611no—
1184C2×C42—611no—
1185C2×C42C22×D6111yescharacteristic
1186C2×C42C22×D6111yescharacteristic
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95—611no—
1191#95—611no—
1192#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196#95—611no—
1197#95—611no—
1198#95—611no—
1199#95—611no—
1200#95—611no—
1201#95—611no—
1202#95—611no—
1203#95—611no—
1204#95—611no—
1205#95—611no—
1206#95—611no—
1207#95—611no—
1208#95—611no—
1209#95—611no—
1210#95—611no—
1211#95—611no—
1212#95—611no—
1213#95—611no—
1214#95—611no—
1215#95—611no—
1216#95—611no—
1217#95—611no—
1218#95—611no—
1219#95C22×D6111yescharacteristic
1220#95C22×D6111yescharacteristic
1221#95C22×D6111yescharacteristic
1222#95C22×D6111yescharacteristic
1223C24—22no—
1224C24—22no—
1225C24—22no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—41no—
1230C24—611no—
1231C24—611no—
1232C24C23×D6111yescharacteristic
1233C24C23×D6111yescharacteristic
1234C24C23×D6111yescharacteristic
1235C24C23×D6111yescharacteristic
1236#41—24416no—
1237C2×Q8—1222no—
1238C2×Q8—1222no—
1239C2×Q8—1222no—
1240C2×Q8—1222no—
1241C2×Q8—1222no—
1242C2×Q8—2441no—
1243C2×Q8—2441no—
1244C2×Q8—2441no—
1245C2×Q8—2441no—
1246C2×Q8—2441no—
1247C2×Q8—2441no—
1248C2×Q8—2441no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—614no—
1259C2×D4—1222no—
1260C2×D4—1222no—
1261C2×D4—1222no—
1262C2×D4—1222no—
1263C2×D4—1222no—
1264C2×D4—1222no—
1265C2×D4—1222no—
1266C2×D4—1222no—
1267C2×D4—1222no—
1268C2×D4—1222no—
1269C2×D4—2441no—
1270C2×D4—2441no—
1271C2×D4—2441no—
1272C2×D4—2441no—
1273C2×D4—2441no—
1274C2×D4—2441no—
1275C2×D4—2441no—
1276C2×D4—2441no—
1277C2×D4—2441no—
1278C2×D4—2441no—
1279C2×D4—2441no—
1280C2×D4—2441no—
1281C2×D4—2441no—
1282C2×D4—2441no—
1283C2×D4—2441no—
1284C2×D4—2441no—
1285C22×C4—611no—
1286C22×C4—611no—
1287C22×C4—611no—
1288C22×C4—611no—
1289C22×C4—614no—
1290C22×C4—614no—
1291C22×C4—611no—
1292C22×C4—611no—
1293C22×C4—611no—
1294C22×C4—611no—
1295C22×C4—611no—
1296C22×C4—611no—
1297C22×C4—611no—
1298C22×C4—611no—
1299C22×C4—611no—
1300C22×C4—611no—
1301C22×C4—1222no—
1302C22×C4—1222no—
1303C22×C4—1222no—
1304C22×C4—1222no—
1305C22×C4—1222no—
1306C22×C4—1222no—
1307C22×C4—1222no—
1308C22×C4—1222no—
1309C22×C4—1222no—
1310C22×C4—1222no—
1311C22×C4—1222no—
1312C22×C4—1222no—
1313C22×C4—2441no—
1314C22×C4—2441no—
1315C22×C4—2441no—
1316C22×C4—2441no—
1317C22×C4—2441no—
1318C22×C4—2441no—
1319C22×C4—2441no—
1320C22×C4—2441no—
1321C22×C4—2441no—
1322C22×C4—2441no—
1323C22×C4—2441no—
1324C22×C4—2441no—
1325C22×C4—2441no—
1326C22×C4—2441no—
1327C22×C4—2441no—
1328C22×C4—2441no—
1329C22×C4—2441no—
1330C22×C4—2441no—
1331C22×C4—2441no—
1332C22×C4—24416no—
1333C22×C4C23×D6111yescharacteristic
1334C22×C4C23×D6111yescharacteristic
1335C22×C4C23×D6111yescharacteristic
1336C22×C4C23×D6111yescharacteristic
1337C22×C4C23×D6111yescharacteristic
1338C22×C4C23×D6111yescharacteristic
1339C22×C4C23×D6111yescharacteristic
1340C22×C4C23×D6111yescharacteristic
1341C22×C4C23×D6111yescharacteristic
1342C22×C4C23×D6111yescharacteristic
1343C22×C4C23×D6111yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—614no—
1351C4⋊C4—1222no—
1352C4⋊C4—1222no—
1353C4⋊C4—1222no—
1354C4⋊C4—1222no—
1355C4⋊C4—1222no—
1356C4⋊C4—1222no—
1357C4⋊C4—1222no—
1358C4⋊C4—1222no—
1359C4⋊C4—1222no—
1360C4⋊C4—1222no—
1361C4⋊C4—1222no—
1362C4⋊C4—1222no—
1363C4⋊C4—1222no—
1364C4⋊C4—1222no—
1365C4⋊C4—2441no—
1366C4⋊C4—2441no—
1367C4⋊C4—2441no—
1368C4⋊C4—2441no—
1369C4⋊C4—2441no—
1370C4⋊C4—2441no—
1371C4⋊C4—2441no—
1372C4⋊C4—2441no—
1373C4⋊C4—2441no—
1374C4⋊C4—2441no—
1375C4⋊C4—2441no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—614no—
1395C22⋊C4—1222no—
1396C22⋊C4—1222no—
1397C22⋊C4—1222no—
1398C22⋊C4—1222no—
1399C22⋊C4—1222no—
1400C22⋊C4—1222no—
1401C22⋊C4—1222no—
1402C22⋊C4—1222no—
1403C22⋊C4—1222no—
1404C22⋊C4—1222no—
1405C22⋊C4—1222no—
1406C22⋊C4—1222no—
1407C22⋊C4—1222no—
1408C22⋊C4—1222no—
1409C22⋊C4—1222no—
1410C22⋊C4—1222no—
1411C22⋊C4—1222no—
1412C22⋊C4—2441no—
1413C22⋊C4—2441no—
1414C22⋊C4—2441no—
1415C22⋊C4—2441no—
1416C22⋊C4—2441no—
1417C22⋊C4—2441no—
1418C22⋊C4—2441no—
1419C22⋊C4—2441no—
1420C22⋊C4—2441no—
1421C22⋊C4—2441no—
1422C22⋊C4—2441no—
1423C22⋊C4—2441no—
1424C22⋊C4—2441no—
1425C22⋊C4—2441no—
1426C22⋊C4—2441no—
1427C22⋊C4D4×D6114yes—
1428C42—22no—
1429C42—41no—
1430C42—614no—
1431C42—1222no—
1432C42—1222no—
1433C42—1222no—
1434C42—2441no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—612no—
1468C23—1221no—
1469C23—1221no—
1470C23—1221no—
1471C23—1221no—
1472C23—1221no—
1473C23—1221no—
1474C23—1221no—
1475C23—1221no—
1476C23—1221no—
1477C23—1221no—
1478C23—1221no—
1479C23—1221no—
1480C23—1221no—
1481C23C2×D4×D6112yes—
1482C23#1451982312yes—
1483C23#1451982412yes—
1484C23C24×D6111yescharacteristic
1485Q8—4882no—
1486Q8—4882no—
1487Q8—2444no—
1488Q8—2444no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—4882no—
1493D4—4882no—
1494D4—4882no—
1495D4—4882no—
1496D4—4882no—
1497D4—2444no—
1498D4—2444no—
1499D4—2444no—
1500D4—2444no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—612no—
1533C2×C4—612no—
1534C2×C4—612no—
1535C2×C4—612no—
1536C2×C4—1228no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—1221no—
1564C2×C4—1221no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—4882no—
1576C2×C4—4882no—
1577C2×C4—2444no—
1578C2×C4—2444no—
1579C2×C4—2444no—
1580C2×C4—2444no—
1581C2×C4—2444no—
1582C2×C4—2444no—
1583C2×C4—2444no—
1584C2×C4—2444no—
1585C2×C4C2×D4×D6112yes—
1586C2×C4C2×D4×D6112yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—416no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—1222no—
1617C22—1222no—
1618C22—1222no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22—2441no—
1630C22C22×D4×D6111yescharacteristic
1631C22H(5,𝔽2)×D6111yescharacteristic
1632C22C2×#1451982311yescharacteristic
1633C22C2×#1451982411yescharacteristic
1634C22#1684059711yescharacteristic
1635C22#1684059711yescharacteristic
1636C22#1684059711yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—1222no—
1649C4—1222no—
1650C4—1222no—
1651C4—1222no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C4—2441no—
1656C4—2441no—
1657C4—2441no—
1658C4—2441no—
1659C4—2441no—
1660C4—2441no—
1661C4—2441no—
1662C2—42no—
1663C2—42no—
1664C2—42no—
1665C2—81no—
1666C2—4881no—
1667C2—2442no—
1668C2#2145915011yescharacteristic
1669C2#2145944911yescharacteristic
1670C2#2145949011yescharacteristic
1671C2#2145998711yescharacteristic
1672C2#2146002411yescharacteristic
1673C2#2146008611yescharacteristic
1674C2#2146010711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2685C2
hypercenter#2685D61
hypocenterC61#36712
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. C2×#16840378C2semidirect
2. C2×#16840268C2semidirect
3. #21454113C2semidirect
4. #21454104C2semidirect
5. #21452364C2semidirect
6. #21452361C2semidirect
7. #21452308C2semidirect
8. #21452305C2semidirect
9. #21452264C2semidirect
10. #21452227C2semidirect
11. #21452199C2semidirect
12. #21452131C2semidirect
13. #21452117C2semidirect
14. #21452102C2semidirect
15. #21452098C2semidirect
16. #21452068C2semidirect
17. #21452061C2semidirect
18. #21452041C2semidirect
19. #21452027C2semidirect
20. #21451735C2semidirect
21. #21451657C2semidirect
22. #21451492C2semidirect
23. #21451436C2semidirect
24. #21451393C2semidirect
25. #21451380C2semidirect
26. #21451175C2semidirect
27. #21450994C2semidirect
28. #21449449C2semidirect
29. #21449424C2semidirect
30. #21448449C2semidirect
31. C61×#2685C2semidirect
35. C2×#14519777C22semidirect
36. C2×#14519776C22semidirect
37. C2×#14519772C22semidirect
38. C2×#14519765C22semidirect
43. C2×#14519762C22semidirect
48. C2×#14519757C22semidirect
49. C2×#14519755C22semidirect
57. C2×#14519750C22semidirect
62. C2×C4×Dic122C22semidirect
67. C2×#14519735C22semidirect
69. #16839701C22semidirect
70. #16839700C22semidirect
71. #16839699C22semidirect
73. #16839698C22semidirect
74. #16839696C22semidirect
75. #16839695C22semidirect
76. #16839695C22semidirect
77. #16839694C22semidirect
78. #16839691C22semidirect
82. #16839690C22semidirect
84. #16839685C22semidirect
85. #16839684C22semidirect
86. #16839684C22semidirect
87. #16839683C22semidirect
88. #16839683C22semidirect
89. #16839682C22semidirect
90. #16839682C22semidirect
91. #16839680C22semidirect
96. #16839678C22semidirect
97. #16839678C22semidirect
99. #16839677C22semidirect
101. #16839675C22semidirect
105. #16839674C22semidirect
106. #16839674C22semidirect
111. #16839667C22semidirect
114. #16839661C22semidirect
115. #16839660C22semidirect
116. #16839657C22semidirect
120. #16839655C22semidirect
121. #16839653C22semidirect
122. #16839651C22semidirect
124. #16839648C22semidirect
125. #16839648C22semidirect
126. #16839647C22semidirect
127. #16839646C22semidirect
128. #16839646C22semidirect
129. #16839645C22semidirect
130. #16839644C22semidirect
131. #16839644C22semidirect
136. #16839639C22semidirect
144. #16839638C22semidirect
145. #16839638C22semidirect
153. #16839637C22semidirect
154. #16839637C22semidirect
155. #16839636C22semidirect
159. #16839634C22semidirect
160. #16839633C22semidirect
161. #16839633C22semidirect
162. #16839629C22semidirect
163. #16839627C22semidirect
169. #16839619C22semidirect
170. #16839619C22semidirect
172. C4×#11758198C22semidirect
173. #95×D61C22semidirect
249. #14519737D4semidirect
835. #2685D61semidirect
1026. C61#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#168403782
C2×#168402682
#214541132
#214541042
#214523642
#214523612
#214523082
#214523052
#214522642
#214522272
#214521992
#214521312
#214521172
#214521022
#214520982
#214520682
#214520612
#214520412
#214520272
#214517352
#214516572
#214514922
#214514362
#214513932
#214513802
#214511752
#214509942
#214494492
#214494242
#214484492
C61×#26852
#3671261