Finite Group Databasebeta

← #29887072

Subgroups — #29887072

Order 15616.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840360C211yesmaximal, characteristic, complemented
2C2×#16840275C211yesmaximal, characteristic, complemented
3#21454114C211yesmaximal, characteristic, complemented
4#21454107C211yesmaximal, characteristic, complemented
5#21452516C211yesmaximal, characteristic, complemented
6#21452509C211yesmaximal, characteristic, complemented
7#21452462C211yesmaximal, characteristic, complemented
8#21452431C211yesmaximal, characteristic, complemented
9#21452396C211yesmaximal, characteristic, complemented
10#21452379C211yesmaximal, characteristic, complemented
11#21452213C211yesmaximal, characteristic, complemented
12#21452189C211yesmaximal, characteristic, complemented
13#21452181C211yesmaximal, characteristic, complemented
14#21452172C211yesmaximal, characteristic, complemented
15#21452166C211yesmaximal, characteristic, complemented
16#21452163C211yesmaximal, characteristic, complemented
17#21452160C211yesmaximal, characteristic, complemented
18#21452149C211yesmaximal, characteristic, complemented
19#21452149C211yesmaximal, characteristic, complemented
20#21451744C211yesmaximal, characteristic, complemented
21#21451669C211yesmaximal, characteristic, complemented
22#21451516C211yesmaximal, characteristic, complemented
23#21451444C211yesmaximal, characteristic, complemented
24#21451411C211yesmaximal, characteristic, complemented
25#21451404C211yesmaximal, characteristic, complemented
26#21451161C211yesmaximal, characteristic, complemented
27#21451014C211yesmaximal, characteristic, complemented
28#21449167C211yesmaximal, characteristic, complemented
29#21449155C211yesmaximal, characteristic, complemented
30#21448458C211yesmaximal, characteristic, complemented
31C61×#2704C211yesmaximal, characteristic, complemented
32C22×#11758226C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34#16840360—28no—
35C2×#14519772C2211yescharacteristic, complemented
36C2×#14519771C2211yescharacteristic
37C2×#14519767C2211yescharacteristic, complemented
38#16840275—28no—
39C2×#14519762C2211yescharacteristic
40C2×#14519762C2211yescharacteristic
41C2×#14519762C2211yescharacteristic
42C2×#14519762C2211yescharacteristic
43C2×#14519762C2211yescharacteristic
44C2×#14519762C2211yescharacteristic
45C2×#14519762C2211yescharacteristic
46C2×#14519762C2211yescharacteristic, complemented
47C2×#14519762C2211yescharacteristic, complemented
48C2×#14519757C2211yescharacteristic
49C2×#14519757C2211yescharacteristic
50C2×#14519756C2211yescharacteristic
51C2×#14519755C2211yescharacteristic, complemented
52C2×#14519755C2211yescharacteristic, complemented
53C2×#14519753C2211yescharacteristic
54C2×#14519753C2211yescharacteristic, complemented
55C2×#14519752C2211yescharacteristic
56C2×#14519752C2211yescharacteristic
57C2×#14519752C2211yescharacteristic
58C2×#14519751C2211yescharacteristic
59C2×#14519747C2211yescharacteristic
60C2×#14519747C2211yescharacteristic
61C2×#14519747C2211yescharacteristic
62C2×C4×D244C2211yescharacteristic, complemented
63C2×#14519739C2211yescharacteristic
64C2×#14519739C2211yescharacteristic
65C2×#14519737C2211yescharacteristic
66C2×#14519737C2211yescharacteristic
67C2×#14519735C2211yescharacteristic
68C2×C4⋊C4×D61C2211yescharacteristic, complemented
69#16839704C2211yescharacteristic, complemented
70#16839697C2211yescharacteristic
71#16839696C2211yescharacteristic, complemented
72#16839695C2211yescharacteristic, complemented
73#16839695C2211yescharacteristic, complemented
74#16839692C2211yescharacteristic, complemented
75#16839691C2211yescharacteristic
76#16839691C2211yescharacteristic
77#16839691C2211yescharacteristic
78#16839691C2211yescharacteristic
79#16839691C2211yescharacteristic, complemented
80#16839689C2211yescharacteristic, complemented
81#16839688C2211yescharacteristic, complemented
82#16839685C2211yescharacteristic
83#16839685C2211yescharacteristic
84#16839684C2211yescharacteristic
85#16839684C2211yescharacteristic, complemented
86#16839684C2211yescharacteristic, complemented
87#16839684C2211yescharacteristic, complemented
88#16839684C2211yescharacteristic, complemented
89#16839684C2211yescharacteristic, complemented
90#16839682C2211yescharacteristic, complemented
91#16839681C2211yescharacteristic, complemented
92#16839680C2211yescharacteristic
93#16839680C2211yescharacteristic
94#16839680C2211yescharacteristic
95#16839680C2211yescharacteristic, complemented
96#16839679C2211yescharacteristic
97#16839679C2211yescharacteristic
98#16839679C2211yescharacteristic
99#16839679C2211yescharacteristic
100#16839679C2211yescharacteristic
101#16839679C2211yescharacteristic, complemented
102#16839679C2211yescharacteristic, complemented
103#16839677C2211yescharacteristic
104#16839677C2211yescharacteristic
105#16839675C2211yescharacteristic, complemented
106#16839672C2211yescharacteristic
107#16839672C2211yescharacteristic
108#16839672C2211yescharacteristic, complemented
109#16839671C2211yescharacteristic
110#16839671C2211yescharacteristic
111#16839664C2211yescharacteristic
112#16839664C2211yescharacteristic
113#16839664C2211yescharacteristic, complemented
114#16839663C2211yescharacteristic
115#16839663C2211yescharacteristic
116#16839662C2211yescharacteristic
117#16839662C2211yescharacteristic
118#16839662C2211yescharacteristic
119#16839661C2211yescharacteristic, complemented
120#16839659C2211yescharacteristic, complemented
121#16839657C2211yescharacteristic, complemented
122#16839654C2211yescharacteristic
123#16839654C2211yescharacteristic, complemented
124#16839654C2211yescharacteristic, complemented
125#16839653C2211yescharacteristic
126#16839652C2211yescharacteristic
127#16839652C2211yescharacteristic
128#16839652C2211yescharacteristic, complemented
129#16839652C2211yescharacteristic, complemented
130#16839651C2211yescharacteristic
131#16839651C2211yescharacteristic, complemented
132#16839648C2211yescharacteristic, complemented
133#16839648C2211yescharacteristic, complemented
134#16839646C2211yescharacteristic, complemented
135#16839644C2211yescharacteristic, complemented
136#16839641C2211yescharacteristic
137#16839640C2211yescharacteristic
138#16839640C2211yescharacteristic
139#16839640C2211yescharacteristic
140#16839640C2211yescharacteristic, complemented
141#16839640C2211yescharacteristic, complemented
142#16839639C2211yescharacteristic
143#16839638C2211yescharacteristic
144#16839638C2211yescharacteristic
145#16839638C2211yescharacteristic
146#16839637C2211yescharacteristic
147#16839637C2211yescharacteristic
148#16839636C2211yescharacteristic
149#16839636C2211yescharacteristic
150#16839636C2211yescharacteristic
151#16839636C2211yescharacteristic
152#16839636C2211yescharacteristic, complemented
153#16839636C2211yescharacteristic, complemented
154#16839636C2211yescharacteristic, complemented
155#16839636C2211yescharacteristic, complemented
156#16839634C2211yescharacteristic
157#16839633C2211yescharacteristic
158#16839633C2211yescharacteristic
159#16839633C2211yescharacteristic, complemented
160#16839633C2211yescharacteristic, complemented
161#16839631C2211yescharacteristic, complemented
162#16839626C2211yescharacteristic, complemented
163#16839624C2211yescharacteristic
164#16839624C2211yescharacteristic
165#16839624C2211yescharacteristic, complemented
166#16839619C2211yescharacteristic
167#16839619C2211yescharacteristic
168#16839619C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic
170#16839617C2211yescharacteristic
171#16839617C2211yescharacteristic
172C4⋊C4×Dic61C2211yescharacteristic, complemented
173#16839608C2211yescharacteristic, complemented
174C2×#125×C61C2211yescharacteristic, complemented
175C2×C22⋊Q8×C61C2211yescharacteristic
176C61×#398C2211yescharacteristic, complemented
177C61×#398C2211yescharacteristic, complemented
178C61×#398C2211yescharacteristic, complemented
179C61×#396C2211yescharacteristic
180C61×#396C2211yescharacteristic
181C61×#395C2211yescharacteristic, complemented
182C61×#391C2211yescharacteristic, complemented
183C61×#389C2211yescharacteristic, complemented
184C61×#389C2211yescharacteristic, complemented
185C61×#388C2211yescharacteristic
186C61×#388C2211yescharacteristic
187C61×#385C2211yescharacteristic
188C61×#380C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C2×#11758226—24no—
191C2×#11758226—42no—
192C2×#11758226—42no—
193C22×Dic122C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×D244C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C22×C4×D61—24no—
208C22×C4×D61—42no—
209C22×C4×D61—42no—
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219#14519772—24no—
220#14519771—24no—
221#14519767—24no—
222#14519762—24no—
223#14519762—24no—
224#14519762—24no—
225#14519762—24no—
226#14519762—24no—
227#14519762—24no—
228#14519762—42no—
229#14519762—42no—
230#14519762—42no—
231#14519757—24no—
232#14519757—42no—
233#14519756—42no—
234#14519755—24no—
235#14519755—24no—
236#14519753—24no—
237#14519753—42no—
238#14519752—24no—
239#14519752—24no—
240#14519752—42no—
241#14519751—24no—
242#14519747—24no—
243#14519747—24no—
244#14519747—42no—
245C4×D244—24no—
246#14519739—24no—
247#14519739D418yescomplemented
248#14519737—24no—
249#14519737—24no—
250#14519735—24no—
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×#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
273C2×#11758196C2311yescharacteristic
274C4⋊C4×D61—24no—
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
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#125×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×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊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×C42×C61C2311yescharacteristic
374C2×C42×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—22no—
389C23×D61—41no—
390C23×D61—41no—
391C23×D61—41no—
392C23×D61—41no—
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C23×D61C2411yescharacteristic
398C2×Q8×C61—22no—
399C2×Q8×C61—22no—
400C2×Q8×C61—41no—
401C22×C4×C61—22no—
402C22×C4×C61—22no—
403C22×C4×C61—41no—
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
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—41no—
424C2×C22⋊D61—41no—
425C2×C22⋊D61—41no—
426C2×C22⋊D61—41no—
427C22×Dic61—22no—
428C22×Dic61—41no—
429C22×Dic61—41no—
430C22×Dic61C2411yescharacteristic
431C22×Dic61C2411yescharacteristic
432C22×Dic61C2411yescharacteristic
433C22×Dic61C2411yescharacteristic
434C22×Dic61C2411yescharacteristic
435C22×Dic61C2411yescharacteristic
436C22×Dic61C2411yescharacteristic
437C22×Dic61C2411yescharacteristic
438C22×Dic61C2411yescharacteristic
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441#11758226—416no—
442C2×D244—22no—
443C2×D244—22no—
444C2×D244—22no—
445C2×D244—22no—
446C2×D244—22no—
447C2×D244—22no—
448C2×D244—22no—
449C2×D244—22no—
450C2×D244—22no—
451C2×D244—22no—
452C2×D244—41no—
453C2×D244—41no—
454C2×D244—41no—
455C2×D244—41no—
456C2×D244—41no—
457C2×D244—41no—
458C2×D244—41no—
459C2×D244—41no—
460C2×D244—41no—
461C2×D244—41no—
462C2×D244—41no—
463C2×D244—41no—
464C2×D244—41no—
465C2×D244—41no—
466C2×D244—41no—
467C2×D244—41no—
468C2×D244C2×D414yes—
469C2×C4×D61—22no—
470C2×C4×D61—22no—
471C2×C4×D61—22no—
472C2×C4×D61—22no—
473C2×C4×D61—22no—
474C2×C4×D61—22no—
475C2×C4×D61—22no—
476C2×C4×D61—22no—
477C2×C4×D61—22no—
478C2×C4×D61—22no—
479C2×C4×D61—22no—
480C2×C4×D61—416no—
481C2×C4×D61—41no—
482C2×C4×D61—41no—
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×D61—41no—
494C2×C4×D61—41no—
495C2×C4×D61C2×D414yes—
496C2×C4×D61C2×D414yes—
497C2×Dic122—22no—
498C2×Dic122—41no—
499C2×Dic122—41no—
500C4⋊C4×C61—22no—
501C4⋊C4×C61—22no—
502C4⋊C4×C61—22no—
503C4⋊C4×C61—22no—
504C4⋊C4×C61—22no—
505C4⋊C4×C61—22no—
506C4⋊C4×C61—22no—
507C4⋊C4×C61—22no—
508C4⋊C4×C61—41no—
509C4⋊C4×C61—41no—
510C4⋊C4×C61—41no—
511C4⋊C4×C61—41no—
512C4⋊C4×C61—41no—
513C4⋊C4×C61—41no—
514C4⋊C4×C61C2×D414yes—
515C22⋊C4×C61—22no—
516C22⋊C4×C61—22no—
517C22⋊C4×C61—22no—
518C22⋊C4×C61—41no—
519C22⋊C4×C61—41no—
520C22⋊C4×C61—41no—
521C42×C61—22no—
522C42×C61—41no—
523C22⋊Dic61—41no—
524C22⋊Dic61—41no—
525C22⋊Dic61—41no—
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—22no—
539#11758198—22no—
540#11758198—22no—
541#11758198—22no—
542#11758198—22no—
543#11758198—22no—
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#11758198—41no—
555#11758198—41no—
556#11758198—41no—
557#11758198—41no—
558#11758198—41no—
559#11758198—41no—
560#11758198—41no—
561#11758198—41no—
562#11758198—41no—
563#11758198—41no—
564#11758198—41no—
565#11758198—41no—
566#11758198—41no—
567#11758198C2×D414yes—
568#11758198C2×D414yes—
569C4⋊Dic61—22no—
570C4⋊Dic61—22no—
571C4⋊Dic61—22no—
572C4⋊Dic61—41no—
573C4⋊Dic61—41no—
574C4⋊Dic61—41no—
575C4⋊Dic61—41no—
576C4⋊Dic61—41no—
577#11758196—22no—
578#11758196—22no—
579#11758196—22no—
580#11758196—22no—
581#11758196—22no—
582#11758196—22no—
583#11758196—22no—
584#11758196—22no—
585#11758196—22no—
586#11758196—22no—
587#11758196—41no—
588#11758196—41no—
589#11758196—41no—
590#11758196—41no—
591#11758196—41no—
592C4×Dic61—22no—
593C4×Dic61—41no—
594C4×Dic61—41no—
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×C612−1+412yes—
604C23×C61C2511yescharacteristic
605C22×D61—21no—
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—21no—
621C22×D61—21no—
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—21no—
627C22×D61—21no—
628C22×D61—21no—
629C22×D61—21no—
630C22×D61—21no—
631C22×D61—21no—
632C22×D61—21no—
633C22×D61—21no—
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—44no—
638C22×D61—44no—
639C22×D61—44no—
640C22×D61—44no—
641C22×D61—44no—
642C22×D61—44no—
643C22×D61—44no—
644C22×D61C22×D412yes—
645C22×D61C22×D412yes—
646C22×D61H(5,𝔽2)12yes—
647Q8×C61—44no—
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—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—44no—
687C2×C4×C61C22×D412yes—
688C2×C4×C61C22×D412yes—
689C2×C4×C61C22×D412yes—
690C2×C4×C61H(5,𝔽2)12yes—
691C22⋊D61—44no—
692C22⋊D61—44no—
693C22⋊D61—82no—
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—44no—
726C2×Dic61C22×D412yes—
727C2×Dic61C22×D412yes—
728D244—44no—
729D244—44no—
730D244—44no—
731D244—44no—
732D244—44no—
733D244—44no—
734D244—82no—
735D244—82no—
736D244—82no—
737C4×D61—28no—
738C4×D61—44no—
739C4×D61—44no—
740C4×D61—44no—
741C4×D61—44no—
742C4×D61—44no—
743C4×D61—44no—
744C4×D61—82no—
745C4×D61—82no—
746Dic122—82no—
747#36723—611nomaximal, Sylow
748C22×C61—22no—
749C22×C61—22no—
750C22×C61—22no—
751C22×C61—41no—
752C22×C61—41no—
753C22×C61—41no—
754C22×C61—41no—
755C22×C61C23×D411yescharacteristic
756C22×C61C2×H(5,𝔽2)11yescharacteristic
757C22×C61C2×H(5,𝔽2)11yescharacteristic
758C22×C61C2×2−1+411yescharacteristic
759C22×C61#58511yescharacteristic
760C22×C61#58511yescharacteristic
761C22×C61#58511yescharacteristic
762C2×D61—22no—
763C2×D61—22no—
764C2×D61—22no—
765C2×D61—22no—
766C2×D61—22no—
767C2×D61—22no—
768C2×D61—22no—
769C2×D61—22no—
770C2×D61—22no—
771C2×D61—416no—
772C2×D61—41no—
773C2×D61—41no—
774C2×D61—41no—
775C2×D61—41no—
776C2×D61—41no—
777C2×D61—41no—
778C2×D61—41no—
779C2×D61—41no—
780C2×D61—41no—
781C2×D61—41no—
782C2×D61—41no—
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—41no—
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—
798C4×C61—22no—
799C4×C61—22no—
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—
811C4×C61—41no—
812Dic61—22no—
813Dic61—22no—
814Dic61—41no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823C2×#539—611no—
824C2×#525—611no—
825#2849—611no—
826#2848—611no—
827#2707—611no—
828#2706—611no—
829#2704D6111yescharacteristic, complemented
830#2703—611no—
831#2701—611no—
832#2698—611no—
833#2697—611no—
834#2685—611no—
835#2683—611no—
836#2682—611no—
837#2681—611no—
838#2681—611no—
839#2680—611no—
840#2680—611no—
841#2678—611no—
842#2678—611no—
843#2638—611no—
844#2630—611no—
845#2611—611no—
846#2603—611no—
847#2601—611no—
848#2600—611no—
849#2579—611no—
850#2566—611no—
851#2407—611no—
852#2406—611no—
853#2319—611no—
854C2×C61—42no—
855C2×C61#344911yescharacteristic
856C2×C61#348411yescharacteristic
857C2×C61#348911yescharacteristic
858C2×C61#353311yescharacteristic
859C2×C61#353511yescharacteristic
860C2×C61#353911yescharacteristic
861C2×C61#354111yescharacteristic
862D61—42no—
863D61—42no—
864D61—42no—
865D61—81no—
866D61—81no—
867C22×#41—611no—
868C24×C4—611no—
869#539—1228no—
870C2×#126—611no—
871C2×#126—611no—
872C2×#125—611no—
873C2×#125C2×D6111yescharacteristic, complemented
874#525—1228no—
875C2×#123—611no—
876C2×#123—611no—
877C2×#123—611no—
878C2×#123—611no—
879C2×#123—611no—
880C2×#123—611no—
881C2×#123—611no—
882C2×#123—611no—
883C2×#123—611no—
884C2×C22⋊Q8—611no—
885C2×C22⋊Q8—611no—
886C2×C22⋊Q8—611no—
887C2×C22⋊Q8—611no—
888C2×C22⋊Q8—611no—
889C2×C22⋊Q8—611no—
890C2×C22⋊Q8—611no—
891C2×C22⋊Q8C2×D6111yescharacteristic
892C2×#121—611no—
893C2×#121—611no—
894C2×#121—611no—
895C2×#121—611no—
896C2×#120—611no—
897C2×#120—611no—
898C2×#120—611no—
899C2×C4×D4—611no—
900C2×C4×D4—611no—
901C2×C4×D4—611no—
902C2×C4×D4—611no—
903C2×C4×D4—611no—
904C2×#117—611no—
905C22×C4⋊C4—611no—
906#400—611no—
907#399—611no—
908#398—611no—
909#398—611no—
910#398—611no—
911#398—611no—
912#398C2×D6111yescharacteristic, complemented
913#398C2×D6111yescharacteristic, complemented
914#398C2×D6111yescharacteristic, complemented
915#397—611no—
916#397—611no—
917#397—611no—
918#397—611no—
919#397—611no—
920#397—611no—
921#397—611no—
922#396—611no—
923#396—611no—
924#396—611no—
925#396—611no—
926#396—611no—
927#396—611no—
928#396—611no—
929#396—611no—
930#396C2×D6111yescharacteristic
931#396C2×D6111yescharacteristic
932#395—611no—
933#395—611no—
934#395C2×D6111yescharacteristic, complemented
935#394—611no—
936#394—611no—
937#394—611no—
938#394—611no—
939#394—611no—
940#394—611no—
941#394—611no—
942#394—611no—
943#394—611no—
944#394—611no—
945#394—611no—
946#394—611no—
947#394—611no—
948#393—611no—
949#392—611no—
950#392—611no—
951#392—611no—
952#392—611no—
953#392—611no—
954#391C2×D6111yescharacteristic, complemented
955#390—611no—
956#390—611no—
957#390—611no—
958#390—611no—
959#390—611no—
960#390—611no—
961#390—611no—
962#390—611no—
963#389—611no—
964#389—611no—
965#389—611no—
966#389C2×D6111yescharacteristic, complemented
967#389C2×D6111yescharacteristic, complemented
968#388—611no—
969#388—611no—
970#388—611no—
971#388—611no—
972#388—611no—
973#388—611no—
974#388—611no—
975#388—611no—
976#388—611no—
977#388—611no—
978#388C2×D6111yescharacteristic
979#388C2×D6111yescharacteristic
980#387—611no—
981#387—611no—
982#387—611no—
983#387—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#385—611no—
995#385—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#385C2×D6111yescharacteristic
1010#384—611no—
1011#382—611no—
1012#381—611no—
1013#381—611no—
1014#381—611no—
1015#380—611no—
1016#380—611no—
1017#380—611no—
1018#380C2×D6111yescharacteristic
1019#379—611no—
1020#379—611no—
1021#379—611no—
1022C4×C4⋊C4—611no—
1023#376—611no—
1024C61#3672311yescharacteristic, complemented, Sylow
1025C25—611no—
1026C2×#41—1224no—
1027C2×#41—2442no—
1028C2×#41—2442no—
1029C22×Q8—611no—
1030C22×Q8C22×D6111yescharacteristic
1031C22×D4—611no—
1032C22×D4—611no—
1033C22×D4—611no—
1034C22×D4—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—
1043C23×C4—611no—
1044C23×C4—611no—
1045C23×C4—611no—
1046C23×C4—611no—
1047C23×C4—611no—
1048C23×C4—611no—
1049C23×C4—611no—
1050C23×C4—611no—
1051C23×C4—611no—
1052C23×C4—611no—
1053C23×C4—1224no—
1054C23×C4—2442no—
1055C23×C4—2442no—
1056C23×C4C22×D6111yescharacteristic
1057#126—1224no—
1058#126—1224no—
1059#125—24no—
1060#125—1224no—
1061#123—1224no—
1062#123—1224no—
1063#123—1224no—
1064#123—1224no—
1065#123—1224no—
1066#123—1224no—
1067#123—2442no—
1068#123—2442no—
1069#123—2442no—
1070C22⋊Q8—24no—
1071C22⋊Q8—1224no—
1072C22⋊Q8—1224no—
1073C22⋊Q8—1224no—
1074C22⋊Q8—1224no—
1075C22⋊Q8—2442no—
1076C22⋊Q8—2442no—
1077C22⋊Q8—2442no—
1078#121—1224no—
1079#121—1224no—
1080#121—1224no—
1081#121—2442no—
1082#120—1224no—
1083#120—1224no—
1084#120—2442no—
1085C4×D4—618no—
1086C4×D4—1224no—
1087C4×D4—1224no—
1088C4×D4—1224no—
1089C4×D4—1224no—
1090#117—1224no—
1091C2×C4⋊C4—611no—
1092C2×C4⋊C4—611no—
1093C2×C4⋊C4—611no—
1094C2×C4⋊C4—611no—
1095C2×C4⋊C4—611no—
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—1224no—
1115C2×C4⋊C4C22×D6111yescharacteristic
1116C2×C4⋊C4C22×D6111yescharacteristic
1117C2×C4⋊C4C22×D6111yescharacteristic
1118C2×C4⋊C4C22×D6111yescharacteristic
1119C2×C4⋊C4C22×D6111yescharacteristic
1120C2×C4⋊C4C22×D6111yescharacteristic
1121C2×C4⋊C4C22×D6111yescharacteristic
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×C4⋊C4C22×D6111yescharacteristic
1129C2×C4⋊C4C22×D6111yescharacteristic
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⋊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⋊C4C22×D6111yescharacteristic
1177C2×C22⋊C4C22×D6111yescharacteristic
1178C2×C22⋊C4C22×D6111yescharacteristic
1179C2×C22⋊C4C22×D6111yescharacteristic
1180C2×C22⋊C4C22×D6111yescharacteristic
1181C2×C22⋊C4C22×D6111yescharacteristic
1182C2×C42—611no—
1183C2×C42—611no—
1184C2×C42—611no—
1185C2×C42—611no—
1186C2×C42—611no—
1187C2×C42C22×D6111yescharacteristic
1188C2×C42C22×D6111yescharacteristic
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#95C22×D6111yescharacteristic
1212#95C22×D6111yescharacteristic
1213#95C22×D6111yescharacteristic
1214#95C22×D6111yescharacteristic
1215#95C22×D6111yescharacteristic
1216#95C22×D6111yescharacteristic
1217#95C22×D6111yescharacteristic
1218#95C22×D6111yescharacteristic
1219#95C22×D6111yescharacteristic
1220#95C22×D6111yescharacteristic
1221C24—611no—
1222C24—611no—
1223C24—611no—
1224C24—611no—
1225C24—611no—
1226C24—1222no—
1227C24—1222no—
1228C24—1222no—
1229C24—2441no—
1230C24—2441no—
1231C24—2441no—
1232C24—2441no—
1233C24C23×D6111yescharacteristic
1234#41—24416no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—41no—
1238C2×Q8—1222no—
1239C2×Q8—2441no—
1240C2×Q8—2441no—
1241C2×D4—614no—
1242C2×D4—1222no—
1243C2×D4—1222no—
1244C2×D4—1222no—
1245C2×D4—1222no—
1246C2×D4—1222no—
1247C2×D4—1222no—
1248C2×D4—1222no—
1249C2×D4—1222no—
1250C2×D4—1222no—
1251C2×D4—1222no—
1252C2×D4—1222no—
1253C2×D4—1222no—
1254C2×D4—1222no—
1255C2×D4—1222no—
1256C2×D4—1222no—
1257C2×D4—2441no—
1258C2×D4—2441no—
1259C2×D4—2441no—
1260C2×D4—2441no—
1261C2×D4—2441no—
1262C2×D4—2441no—
1263C2×D4—2441no—
1264C2×D4—2441no—
1265C2×D4—2441no—
1266C2×D4—2441no—
1267C2×D4—2441no—
1268C2×D4—2441no—
1269C2×D4—2441no—
1270C2×D4—2441no—
1271C2×D4—2441no—
1272C2×D4—2441no—
1273C2×D4—2441no—
1274C2×D4—2441no—
1275C2×D4—2441no—
1276C2×D4—2441no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—41no—
1280C22×C4—611no—
1281C22×C4—611no—
1282C22×C4—614no—
1283C22×C4—614no—
1284C22×C4—611no—
1285C22×C4—611no—
1286C22×C4—611no—
1287C22×C4—611no—
1288C22×C4—611no—
1289C22×C4—611no—
1290C22×C4—611no—
1291C22×C4—611no—
1292C22×C4—611no—
1293C22×C4—1222no—
1294C22×C4—1222no—
1295C22×C4—1222no—
1296C22×C4—1222no—
1297C22×C4—1222no—
1298C22×C4—1222no—
1299C22×C4—1222no—
1300C22×C4—1222no—
1301C22×C4—1222no—
1302C22×C4—1222no—
1303C22×C4—1222no—
1304C22×C4—1222no—
1305C22×C4—2441no—
1306C22×C4—2441no—
1307C22×C4—2441no—
1308C22×C4—2441no—
1309C22×C4—2441no—
1310C22×C4—2441no—
1311C22×C4—2441no—
1312C22×C4—2441no—
1313C22×C4—2441no—
1314C22×C4—2441no—
1315C22×C4—2441no—
1316C22×C4—2441no—
1317C22×C4—2441no—
1318C22×C4—2441no—
1319C22×C4—24416no—
1320C22×C4—2441no—
1321C22×C4—2441no—
1322C22×C4C23×D6111yescharacteristic
1323C22×C4C23×D6111yescharacteristic
1324C22×C4C23×D6111yescharacteristic
1325C22×C4C23×D6111yescharacteristic
1326C22×C4C23×D6111yescharacteristic
1327C22×C4C23×D6111yescharacteristic
1328C22×C4C23×D6111yescharacteristic
1329C22×C4C23×D6111yescharacteristic
1330C22×C4C23×D6111yescharacteristic
1331C22×C4C23×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333C22×C4C23×D6111yescharacteristic
1334C22×C4C23×D6111yescharacteristic
1335C22×C4C23×D6111yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—1222no—
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—2441no—
1364C4⋊C4—2441no—
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⋊C4D4×D6114yes—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—614no—
1381C22⋊C4—614no—
1382C22⋊C4—1222no—
1383C22⋊C4—1222no—
1384C22⋊C4—1222no—
1385C22⋊C4—1222no—
1386C22⋊C4—1222no—
1387C22⋊C4—1222no—
1388C22⋊C4—1222no—
1389C22⋊C4—1222no—
1390C22⋊C4—1222no—
1391C22⋊C4—1222no—
1392C22⋊C4—1222no—
1393C22⋊C4—1222no—
1394C22⋊C4—1222no—
1395C22⋊C4—1222no—
1396C22⋊C4—1222no—
1397C22⋊C4—1222no—
1398C22⋊C4—1222no—
1399C22⋊C4—1222no—
1400C22⋊C4—2441no—
1401C22⋊C4—2441no—
1402C22⋊C4—2441no—
1403C22⋊C4—2441no—
1404C22⋊C4—2441no—
1405C22⋊C4—2441no—
1406C22⋊C4—2441no—
1407C22⋊C4—2441no—
1408C22⋊C4—2441no—
1409C22⋊C4—2441no—
1410C22⋊C4—2441no—
1411C22⋊C4—2441no—
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—
1426C42—22no—
1427C42—41no—
1428C42—614no—
1429C42—1222no—
1430C42—2441no—
1431C42—2441no—
1432C42—2441no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—612no—
1440C23—612no—
1441C23—612no—
1442C23—1221no—
1443C23—1221no—
1444C23—1221no—
1445C23—1221no—
1446C23—1221no—
1447C23—1221no—
1448C23—1221no—
1449C23—1221no—
1450C23—1221no—
1451C23—1221no—
1452C23—1221no—
1453C23—1221no—
1454C23—1221no—
1455C23—1221no—
1456C23—1221no—
1457C23—1221no—
1458C23—1221no—
1459C23—1221no—
1460C23—1221no—
1461C23—1221no—
1462C23—1221no—
1463C23—1221no—
1464C23—1221no—
1465C23—1221no—
1466C23—1221no—
1467C23—1221no—
1468C23—1221no—
1469C23—1221no—
1470C23—1221no—
1471C23—1221no—
1472C23—1221no—
1473C23—1221no—
1474C23—2444no—
1475C23—2444no—
1476C23—2444no—
1477C23—2444no—
1478C23—2444no—
1479C23—2444no—
1480C23—2444no—
1481C23#1451982512yes—
1482C23C24×D6111yescharacteristic
1483Q8—44no—
1484Q8—4882no—
1485D4—4882no—
1486D4—4882no—
1487D4—4882no—
1488D4—4882no—
1489D4—2444no—
1490D4—2444no—
1491D4—2444no—
1492D4—2444no—
1493D4—2444no—
1494D4—2444no—
1495D4—2444no—
1496D4—2444no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
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—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—44no—
1536C2×C4—612no—
1537C2×C4—612no—
1538C2×C4—1228no—
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—4882no—
1571C2×C4—4882no—
1572C2×C4—2444no—
1573C2×C4—2444no—
1574C2×C4—2444no—
1575C2×C4—2444no—
1576C2×C4—2444no—
1577C2×C4—2444no—
1578C2×C4—2444no—
1579C2×C4C2×D4×D6112yes—
1580C2×C4C2×D4×D6112yes—
1581C2×C4C2×D4×D6112yes—
1582C2×C4#1451982312yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—1222no—
1591C22—1222no—
1592C22—1222no—
1593C22—1222no—
1594C22—1222no—
1595C22—1222no—
1596C22—1222no—
1597C22—1222no—
1598C22—1222no—
1599C22—24416no—
1600C22—2441no—
1601C22—2441no—
1602C22—2441no—
1603C22—2441no—
1604C22—2441no—
1605C22—2441no—
1606C22—2441no—
1607C22—2441no—
1608C22—2441no—
1609C22—2441no—
1610C22—2441no—
1611C22—2441no—
1612C22—2441no—
1613C22—2441no—
1614C22—2441no—
1615C22—2441no—
1616C22—2441no—
1617C22—2441no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22C22×D4×D6111yescharacteristic
1627C22H(5,𝔽2)×D6111yescharacteristic
1628C22C2×#1451982311yescharacteristic
1629C22C2×#1451982511yescharacteristic
1630C22#1684059711yescharacteristic
1631C22#1684059911yescharacteristic
1632C22#1684059911yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—1222no—
1648C4—1222no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C4—2441no—
1656C4—2441no—
1657C4—2441no—
1658C2—42no—
1659C2—4881no—
1660C2—4881no—
1661C2—2442no—
1662C2—2442no—
1663C2—2442no—
1664C2#2145914711yescharacteristic
1665C2#2145944911yescharacteristic
1666C2#2145949611yescharacteristic
1667C2#2145998111yescharacteristic
1668C2#2146002911yescharacteristic
1669C2#2146008111yescharacteristic
1670C2#2146011311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2704C2
hypercenter#2704D61
hypocenterC61#36723
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2704

Complements

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

NH ≅ G/Ntype
1. C2×#16840360C2semidirect
2. C2×#16840275C2semidirect
3. #21454114C2semidirect
4. #21454107C2semidirect
5. #21452516C2semidirect
6. #21452509C2semidirect
7. #21452462C2semidirect
8. #21452431C2semidirect
9. #21452396C2semidirect
10. #21452379C2semidirect
11. #21452213C2semidirect
12. #21452189C2semidirect
13. #21452181C2semidirect
14. #21452172C2semidirect
15. #21452166C2semidirect
16. #21452163C2semidirect
17. #21452160C2semidirect
18. #21452149C2semidirect
19. #21452149C2semidirect
20. #21451744C2semidirect
21. #21451669C2semidirect
22. #21451516C2semidirect
23. #21451444C2semidirect
24. #21451411C2semidirect
25. #21451404C2semidirect
26. #21451161C2semidirect
27. #21451014C2semidirect
28. #21449167C2semidirect
29. #21449155C2semidirect
30. #21448458C2semidirect
31. C61×#2704C2semidirect
35. C2×#14519772C22semidirect
37. C2×#14519767C22semidirect
46. C2×#14519762C22semidirect
47. C2×#14519762C22semidirect
51. C2×#14519755C22semidirect
52. C2×#14519755C22semidirect
54. C2×#14519753C22semidirect
62. C2×C4×D244C22semidirect
68. C2×C4⋊C4×D61C22semidirect
69. #16839704C22semidirect
71. #16839696C22semidirect
72. #16839695C22semidirect
73. #16839695C22semidirect
74. #16839692C22semidirect
79. #16839691C22semidirect
80. #16839689C22semidirect
81. #16839688C22semidirect
85. #16839684C22semidirect
86. #16839684C22semidirect
87. #16839684C22semidirect
88. #16839684C22semidirect
89. #16839684C22semidirect
90. #16839682C22semidirect
91. #16839681C22semidirect
95. #16839680C22semidirect
101. #16839679C22semidirect
102. #16839679C22semidirect
105. #16839675C22semidirect
108. #16839672C22semidirect
113. #16839664C22semidirect
119. #16839661C22semidirect
120. #16839659C22semidirect
121. #16839657C22semidirect
123. #16839654C22semidirect
124. #16839654C22semidirect
128. #16839652C22semidirect
129. #16839652C22semidirect
131. #16839651C22semidirect
132. #16839648C22semidirect
133. #16839648C22semidirect
134. #16839646C22semidirect
135. #16839644C22semidirect
140. #16839640C22semidirect
141. #16839640C22semidirect
152. #16839636C22semidirect
153. #16839636C22semidirect
154. #16839636C22semidirect
155. #16839636C22semidirect
159. #16839633C22semidirect
160. #16839633C22semidirect
161. #16839631C22semidirect
162. #16839626C22semidirect
165. #16839624C22semidirect
168. #16839619C22semidirect
172. C4⋊C4×Dic61C22semidirect
173. #16839608C22semidirect
174. C2×#125×C61C22semidirect
176. C61×#398C22semidirect
177. C61×#398C22semidirect
178. C61×#398C22semidirect
181. C61×#395C22semidirect
182. C61×#391C22semidirect
183. C61×#389C22semidirect
184. C61×#389C22semidirect
247. #14519739D4semidirect
829. #2704D61semidirect
873. C2×#125C2×D61semidirect
912. #398C2×D61semidirect
913. #398C2×D61semidirect
914. #398C2×D61semidirect
934. #395C2×D61semidirect
954. #391C2×D61semidirect
966. #389C2×D61semidirect
967. #389C2×D61semidirect
1024. C61#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#168403602
C2×#168402752
#214541142
#214541072
#214525162
#214525092
#214524622
#214524312
#214523962
#214523792
#214522132
#214521892
#214521812
#214521722
#214521662
#214521632
#214521602
#214521492
#214517442
#214516692
#214515162
#214514442
#214514112
#214514042
#214511612
#214510142
#214491672
#214491552
#214484582
C61×#27042
#3672361