Finite Group Databasebeta

← #29852581

Subgroups — #29852581

Order 15616.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840323C211yesmaximal, characteristic
2C2×C4×D4×D61C211yesmaximal, characteristic, complemented
3#21454143C211yesmaximal, characteristic, complemented
4#21454143C211yesmaximal, characteristic, complemented
5#21454114C211yesmaximal, characteristic, complemented
6#21454112C211yesmaximal, characteristic, complemented
7#21451606C211yesmaximal, characteristic, complemented
8#21451600C211yesmaximal, characteristic, complemented
9#21451593C211yesmaximal, characteristic, complemented
10#21451593C211yesmaximal, characteristic, complemented
11#21449574C211yesmaximal, characteristic, complemented
12#21449570C211yesmaximal, characteristic, complemented
13#21449568C211yesmaximal, characteristic, complemented
14#21449564C211yesmaximal, characteristic, complemented
15#21449559C211yesmaximal, characteristic, complemented
16#21449555C211yesmaximal, characteristic, complemented
17#21449553C211yesmaximal, characteristic, complemented
18#21449549C211yesmaximal, characteristic, complemented
19#21449300C211yesmaximal, characteristic, complemented
20#21449296C211yesmaximal, characteristic, complemented
21#21449292C211yesmaximal, characteristic, complemented
22#21449287C211yesmaximal, characteristic, complemented
23#21449283C211yesmaximal, characteristic, complemented
24#21449279C211yesmaximal, characteristic, complemented
25#21449275C211yesmaximal, characteristic, complemented
26#21448432C211yesmaximal, characteristic, complemented
27#21448396C211yesmaximal, characteristic, complemented
28#21448393C211yesmaximal, characteristic, complemented
29C2×#16839640C211yesmaximal, characteristic, complemented
30#385×D61C211yesmaximal, characteristic, complemented
31C61×#2419C211yesmaximal, characteristic, complemented
32C23×D244C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35C23×C4×D61C2211yescharacteristic, complemented
36#16840323—28no—
37C2×#14519762C2211yescharacteristic
38C2×#14519762C2211yescharacteristic
39C2×#14519762C2211yescharacteristic, complemented
40C2×#14519762C2211yescharacteristic, complemented
41C2×#14519761C2211yescharacteristic, complemented
42C2×#14519760C2211yescharacteristic
43C2×#14519760C2211yescharacteristic, complemented
44C2×#14519752C2211yescharacteristic
45C2×#14519752C2211yescharacteristic
46C2×#14519750C2211yescharacteristic
47C2×#14519750C2211yescharacteristic
48C2×#14519747C2211yescharacteristic
49C2×#14519747C2211yescharacteristic
50C2×#14519747C2211yescharacteristic
51C2×#14519745C2211yescharacteristic
52C2×C4×D244C2211yescharacteristic, complemented
53C2×D4×Dic61C2211yescharacteristic
54C2×#14519739C2211yescharacteristic, complemented
55C2×C4×C22⋊D61C2211yescharacteristic
56C2×C4×C22⋊D61C2211yescharacteristic, complemented
57C2×#14519737C2211yescharacteristic
58C2×#14519737C2211yescharacteristic, complemented
59C4×D4×D61—28no—
60C2×C4⋊C4×D61C2211yescharacteristic, complemented
61C2×C4⋊C4×D61C2211yescharacteristic, complemented
62C2×C4⋊C4×D61C2211yescharacteristic, complemented
63C22×#11758198C2211yescharacteristic
64C22×#11758198C2211yescharacteristic, complemented
65C22×#11758198C2211yescharacteristic, complemented
66C2×C22⋊C4×D61C2211yescharacteristic
67C2×C22⋊C4×D61C2211yescharacteristic
68C2×C22⋊C4×D61C2211yescharacteristic
69C2×C22⋊C4×D61C2211yescharacteristic, complemented
70C2×C42×D61C2211yescharacteristic, complemented
71#16839703C2211yescharacteristic, complemented
72#16839703C2211yescharacteristic, complemented
73#16839701C2211yescharacteristic, complemented
74#16839699C2211yescharacteristic, complemented
75#16839697C2211yescharacteristic, complemented
76#16839697C2211yescharacteristic, complemented
77#16839697C2211yescharacteristic, complemented
78#16839696C2211yescharacteristic, complemented
79#16839696C2211yescharacteristic, complemented
80#16839692C2211yescharacteristic, complemented
81#16839691C2211yescharacteristic, complemented
82#16839691C2211yescharacteristic, complemented
83#16839691C2211yescharacteristic, complemented
84#16839691C2211yescharacteristic, complemented
85#16839690C2211yescharacteristic, complemented
86#16839690C2211yescharacteristic, complemented
87#16839689C2211yescharacteristic, complemented
88#16839689C2211yescharacteristic, complemented
89#16839689C2211yescharacteristic, complemented
90#16839688C2211yescharacteristic, complemented
91#16839680C2211yescharacteristic, complemented
92#16839680C2211yescharacteristic, complemented
93#16839679C2211yescharacteristic, complemented
94#16839679C2211yescharacteristic, complemented
95#16839678C2211yescharacteristic, complemented
96#16839678C2211yescharacteristic, complemented
97#16839677C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic, complemented
99#16839654C2211yescharacteristic, complemented
100#16839654C2211yescharacteristic, complemented
101#16839653C2211yescharacteristic, complemented
102#16839653C2211yescharacteristic, complemented
103#16839652C2211yescharacteristic, complemented
104#16839652C2211yescharacteristic, complemented
105#16839651C2211yescharacteristic, complemented
106#16839651C2211yescharacteristic, complemented
107#16839645C2211yescharacteristic, complemented
108#16839645C2211yescharacteristic, complemented
109#16839644C2211yescharacteristic, complemented
110#16839644C2211yescharacteristic, complemented
111#16839643C2211yescharacteristic, complemented
112#16839643C2211yescharacteristic, complemented
113#16839642C2211yescharacteristic
114#16839641C2211yescharacteristic
115#16839641C2211yescharacteristic, complemented
116#16839640C2211yescharacteristic
117#16839640C2211yescharacteristic
118#16839640C2211yescharacteristic
119#16839640C2211yescharacteristic
120#16839640C2211yescharacteristic
121#16839640C2211yescharacteristic
122#16839640C2211yescharacteristic
123#16839640C2211yescharacteristic
124#16839640C2211yescharacteristic, complemented
125#16839640C2211yescharacteristic, complemented
126#16839640C2211yescharacteristic, complemented
127#16839640C2211yescharacteristic, complemented
128#16839640C2211yescharacteristic, complemented
129#16839640C2211yescharacteristic, complemented
130#16839640C2211yescharacteristic, complemented
131#16839640C2211yescharacteristic, complemented
132#16839640C2211yescharacteristic, complemented
133#16839640C2211yescharacteristic, complemented
134#16839640C2211yescharacteristic, complemented
135#16839640C2211yescharacteristic, complemented
136#16839639C2211yescharacteristic
137#16839639C2211yescharacteristic, complemented
138#16839638C2211yescharacteristic, complemented
139#16839638C2211yescharacteristic, complemented
140#16839637C2211yescharacteristic, complemented
141#16839636C2211yescharacteristic, complemented
142#16839636C2211yescharacteristic, complemented
143#16839636C2211yescharacteristic, complemented
144#16839636C2211yescharacteristic, complemented
145#16839636C2211yescharacteristic, complemented
146#16839636C2211yescharacteristic, complemented
147#16839636C2211yescharacteristic, complemented
148#16839636C2211yescharacteristic, complemented
149#16839635C2211yescharacteristic, complemented
150#16839634C2211yescharacteristic, complemented
151#16839634C2211yescharacteristic, complemented
152#16839633C2211yescharacteristic, complemented
153#16839633C2211yescharacteristic, complemented
154#16839633C2211yescharacteristic, complemented
155#16839633C2211yescharacteristic, complemented
156#16839633C2211yescharacteristic, complemented
157#16839633C2211yescharacteristic, complemented
158#16839625C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic, complemented
160#16839624C2211yescharacteristic, complemented
161#16839624C2211yescharacteristic, complemented
162#16839624C2211yescharacteristic, complemented
163#16839623C2211yescharacteristic, complemented
164#16839622C2211yescharacteristic, complemented
165#16839620C2211yescharacteristic, complemented
166#16839620C2211yescharacteristic, complemented
167#16839617C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic, complemented
171C2×#14519684C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173#95×D61C2211yescharacteristic, complemented
174C2×#123×C61C2211yescharacteristic
175C2×C4×D4×C61C2211yescharacteristic
176C61×#400C2211yescharacteristic, complemented
177C61×#398C2211yescharacteristic, complemented
178C61×#397C2211yescharacteristic, complemented
179C61×#397C2211yescharacteristic, complemented
180C61×#387C2211yescharacteristic, complemented
181C61×#387C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic
183C61×#385C2211yescharacteristic, complemented
184C61×#385C2211yescharacteristic, complemented
185C61×#381C2211yescharacteristic, complemented
186C61×#381C2211yescharacteristic, complemented
187C61×#380C2211yescharacteristic, complemented
188C2×#95×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C24×D61C2311yescharacteristic
192C22×D244—24no—
193C22×D244—24no—
194C22×D244—24no—
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C2×D4×D61—24no—
207C2×D4×D61—24no—
208C2×D4×D61D418yes—
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C22×C4×D61—24no—
213C22×C4×D61—24no—
214C22×C4×D61—42no—
215C22×C4×D61—42no—
216C22×C4×D61—42no—
217C22×C4×D61—42no—
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230C22×C4×D61C2311yescharacteristic
231#14519762—24no—
232#14519762—24no—
233#14519762—42no—
234#14519762—42no—
235#14519761—42no—
236#14519760—24no—
237#14519760—42no—
238#14519752—24no—
239#14519752—24no—
240#14519750—24no—
241#14519750—24no—
242#14519747—24no—
243#14519747—24no—
244#14519747—24no—
245#14519745—24no—
246C4×D244—24no—
247D4×Dic61—24no—
248#14519739—24no—
249C4×C22⋊D61—24no—
250C4×C22⋊D61—24no—
251#14519737—24no—
252#14519737—24no—
253C2×C4⋊Dic61C2311yescharacteristic
254C2×C4⋊Dic61C2311yescharacteristic
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C4⋊C4×D61—24no—
271C4⋊C4×D61—42no—
272C4⋊C4×D61—42no—
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×#11758198—24no—
280C2×#11758198—42no—
281C2×#11758198—42no—
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
320C22⋊C4×D61—24no—
321C22⋊C4×D61—24no—
322C22⋊C4×D61—24no—
323C22⋊C4×D61—24no—
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
326C2×C4×Dic61C2311yescharacteristic
327C42×D61—24no—
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C23×C4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C23×C4×C61C2311yescharacteristic
359#123×C61—24no—
360C4×D4×C61—24no—
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊C4×C61C2311yescharacteristic
368C2×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×C42×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
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C23×D61—22no—
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61—41no—
402C23×D61—41no—
403C23×D61—41no—
404C23×D61—41no—
405C23×D61—41no—
406C23×D61—41no—
407C23×D61—41no—
408C23×D61—41no—
409C23×D61—41no—
410C23×D61C2×D414yes—
411C23×D61C2×D414yes—
412C23×D61#4114yes—
413C23×D61#4114yes—
414C23×D61C2411yescharacteristic
415C23×D61C2411yescharacteristic
416C23×D61C2411yescharacteristic
417C23×D61C2411yescharacteristic
418C23×D61C2411yescharacteristic
419C2×D4×C61—22no—
420C2×D4×C61—22no—
421C2×D4×C61C2×D414yes—
422C22×C4×C61—22no—
423C22×C4×C61—22no—
424C22×C4×C61—22no—
425C22×C4×C61—22no—
426C22×C4×C61—22no—
427C22×C4×C61—22no—
428C22×C4×C61—22no—
429C22×C4×C61—22no—
430C22×C4×C61—41no—
431C22×C4×C61—41no—
432C22×C4×C61—41no—
433C22×C4×C61—41no—
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
439C22×C4×C61C2411yescharacteristic
440C22×C4×C61C2411yescharacteristic
441C22×C4×C61C2411yescharacteristic
442C22×C4×C61C2411yescharacteristic
443C22×C4×C61C2411yescharacteristic
444C22×C4×C61C2411yescharacteristic
445C22×C4×C61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
447C2×C22⋊D61—22no—
448C2×C22⋊D61—22no—
449C2×C22⋊D61—22no—
450C2×C22⋊D61—22no—
451C2×C22⋊D61—22no—
452C2×C22⋊D61—22no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61C2×D414yes—
458C2×C22⋊D61C2×D414yes—
459C22×Dic61—22no—
460C22×Dic61—22no—
461C22×Dic61—22no—
462C22×Dic61—22no—
463C22×Dic61—22no—
464C22×Dic61—41no—
465C22×Dic61—41no—
466C22×Dic61—41no—
467C22×Dic61—41no—
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479D4×D61—232no—
480C2×D244—22no—
481C2×D244—22no—
482C2×D244—22no—
483C2×D244—22no—
484C2×D244—22no—
485C2×D244—22no—
486C2×D244—22no—
487C2×D244—22no—
488C2×D244—22no—
489C2×D244—22no—
490C2×D244—22no—
491C2×D244—22no—
492C2×D244—22no—
493C2×D244—22no—
494C2×D244—22no—
495C2×D244—22no—
496C2×D244—416no—
497C2×D244—41no—
498C2×D244—41no—
499C2×D244—41no—
500C2×D244—41no—
501C2×D244C2×D414yes—
502C2×C4×D61—22no—
503C2×C4×D61—22no—
504C2×C4×D61—22no—
505C2×C4×D61—22no—
506C2×C4×D61—22no—
507C2×C4×D61—22no—
508C2×C4×D61—22no—
509C2×C4×D61—22no—
510C2×C4×D61—22no—
511C2×C4×D61—22no—
512C2×C4×D61—22no—
513C2×C4×D61—22no—
514C2×C4×D61—22no—
515C2×C4×D61—22no—
516C2×C4×D61—22no—
517C2×C4×D61—22no—
518C2×C4×D61—22no—
519C2×C4×D61—22no—
520C2×C4×D61—22no—
521C2×C4×D61—22no—
522C2×C4×D61—416no—
523C2×C4×D61—416no—
524C2×C4×D61—41no—
525C2×C4×D61—41no—
526C2×C4×D61—41no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×C4×D61—41no—
532C2×C4×D61—41no—
533C2×C4×D61—41no—
534C2×C4×D61—41no—
535C2×C4×D61—41no—
536C2×C4×D61—41no—
537C2×C4×D61—41no—
538C2×C4×D61—41no—
539C2×C4×D61—41no—
540C2×C4×D61—41no—
541C2×C4×D61—41no—
542C2×C4×D61C2×D414yes—
543C4⋊C4×C61—22no—
544C4⋊C4×C61—22no—
545C4⋊C4×C61—22no—
546C4⋊C4×C61—22no—
547C4⋊C4×C61—41no—
548C4⋊C4×C61—41no—
549C4⋊C4×C61—41no—
550C22⋊C4×C61—22no—
551C22⋊C4×C61—22no—
552C22⋊C4×C61—22no—
553C22⋊C4×C61—22no—
554C22⋊C4×C61—22no—
555C22⋊C4×C61—22no—
556C22⋊C4×C61—41no—
557C22⋊C4×C61—41no—
558C42×C61—22no—
559C22⋊Dic61—22no—
560C22⋊Dic61—22no—
561C22⋊Dic61—22no—
562C22⋊Dic61—22no—
563C22⋊Dic61—41no—
564C22⋊Dic61—41no—
565#11758198—22no—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—22no—
570#11758198—22no—
571#11758198—22no—
572#11758198—22no—
573#11758198—22no—
574#11758198—22no—
575#11758198—22no—
576#11758198—22no—
577#11758198—22no—
578#11758198—22no—
579#11758198—22no—
580#11758198—22no—
581#11758198—22no—
582#11758198—22no—
583#11758198—22no—
584#11758198—22no—
585#11758198—22no—
586#11758198—22no—
587#11758198—41no—
588#11758198—41no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592#11758198—41no—
593#11758198—41no—
594#11758198—41no—
595#11758198—41no—
596#11758198—41no—
597#11758198—41no—
598#11758198—41no—
599#11758198—41no—
600#11758198—41no—
601#11758198—41no—
602#11758198—41no—
603C4⋊Dic61—22no—
604C4⋊Dic61—22no—
605C4⋊Dic61—41no—
606C4⋊Dic61—41no—
607C4⋊Dic61—41no—
608#11758196—22no—
609#11758196—22no—
610#11758196—22no—
611#11758196—22no—
612#11758196—22no—
613#11758196—22no—
614#11758196—41no—
615#11758196—41no—
616#11758196—41no—
617#11758196—41no—
618#11758196—41no—
619#11758196—41no—
620C4×Dic61—22no—
621C4×Dic61—22no—
622C4×Dic61—22no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61C22×D412yes—
634C23×C61C22×D412yes—
635C23×C61C2×#4112yes—
636C23×C61C2×#4112yes—
637C23×C61C2511yescharacteristic
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—21no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—28no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—44no—
668C22×D61—44no—
669C22×D61—44no—
670C22×D61—44no—
671C22×D61—44no—
672C22×D61—44no—
673C22×D61—44no—
674C22×D61—44no—
675C22×D61—44no—
676C22×D61—44no—
677C22×D61—44no—
678C22×D61—44no—
679C22×D61—44no—
680C22×D61—44no—
681C22×D61—44no—
682C22×D61—82no—
683C22×D61—82no—
684C22×D61—82no—
685C22×D61—82no—
686C22×D61#123116yescomplemented
687C22×D61C22×D412yes—
688C22×D61C22×D412yes—
689C22×D61C22×D412yes—
690C22×D61C2×#4112yes—
691C22×D61C2×#4112yes—
692C22×D61C2×#4112yes—
693C22×D61C2×#4112yes—
694D4×C61—28no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—44no—
733C2×C4×C61—44no—
734C2×C4×C61—44no—
735C2×C4×C61—82no—
736C2×C4×C61C22×D412yes—
737C2×C4×C61H(5,𝔽2)12yes—
738C22⋊D61—28no—
739C22⋊D61—28no—
740C22⋊D61—82no—
741C22⋊D61—82no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—44no—
774C2×Dic61—44no—
775C2×Dic61—82no—
776C2×Dic61C22×D412yes—
777C2×Dic61H(5,𝔽2)12yes—
778D244—28no—
779D244—44no—
780D244—44no—
781D244—44no—
782D244—44no—
783D244—82no—
784D244—82no—
785C4×D61—28no—
786C4×D61—28no—
787C4×D61—44no—
788C4×D61—44no—
789C4×D61—44no—
790C4×D61—44no—
791C4×D61—44no—
792C4×D61—44no—
793C4×D61—44no—
794C4×D61—44no—
795C4×D61—44no—
796C4×D61—82no—
797C4×D61—82no—
798#34983—611nomaximal, Sylow
799C22×C61—22no—
800C22×C61—22no—
801C22×C61—22no—
802C22×C61—22no—
803C22×C61—22no—
804C22×C61—22no—
805C22×C61—22no—
806C22×C61—22no—
807C22×C61—22no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61C2×#12314yes—
813C22×C61C23×D411yescharacteristic
814C22×C61C22×#4111yescharacteristic
815C22×C61C22×#4111yescharacteristic
816C22×C61C2×H(5,𝔽2)11yescharacteristic
817C22×C61C2×H(5,𝔽2)11yescharacteristic
818C22×C61#58511yescharacteristic
819C22×C61#58511yescharacteristic
820C2×D61—22no—
821C2×D61—22no—
822C2×D61—22no—
823C2×D61—22no—
824C2×D61—22no—
825C2×D61—22no—
826C2×D61—22no—
827C2×D61—22no—
828C2×D61—22no—
829C2×D61—22no—
830C2×D61—22no—
831C2×D61—22no—
832C2×D61—22no—
833C2×D61—22no—
834C2×D61—22no—
835C2×D61—416no—
836C2×D61—416no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—88no—
856C2×D61C2×#12314yes—
857C2×D61C2×#12314yes—
858C4×C61—22no—
859C4×C61—22no—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61—41no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61—41no—
870C4×C61—41no—
871Dic61—22no—
872Dic61—22no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876Dic61—41no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882C2×#534—611no—
883C22×C4×D4—611no—
884#2853—611no—
885#2853—611no—
886#2849—611no—
887#2849—611no—
888#2623—611no—
889#2623—611no—
890#2622—611no—
891#2622—611no—
892#2444—611no—
893#2444—611no—
894#2444—611no—
895#2444—611no—
896#2443—611no—
897#2443—611no—
898#2443—611no—
899#2443—611no—
900#2419—611no—
901#2419—611no—
902#2419—611no—
903#2419D6111yescharacteristic, complemented
904#2418—611no—
905#2418—611no—
906#2418—611no—
907#2418—611no—
908#2315—611no—
909#2308—611no—
910#2308—611no—
911C2×#386—611no—
912C2×#385—611no—
913C2×C61—24no—
914C2×C61—42no—
915C2×C61C22×#12311yescharacteristic
916C2×C61#345911yescharacteristic
917C2×C61#345911yescharacteristic
918C2×C61#348411yescharacteristic
919C2×C61#348511yescharacteristic
920C2×C61#350511yescharacteristic
921C2×C61#350511yescharacteristic
922D61—24no—
923D61—24no—
924D61—42no—
925D61—81no—
926D61—81no—
927C23×D4—611no—
928C23×D4—611no—
929C24×C4—611no—
930C24×C4—611no—
931#534—1228no—
932C2×#123—611no—
933C2×#123—611no—
934C2×#123—611no—
935C2×#123—611no—
936C2×#123—611no—
937C2×#123—611no—
938C2×#123—611no—
939C2×#123C2×D6111yescharacteristic
940C2×#121—611no—
941C2×#121—611no—
942C2×#121—611no—
943C2×#121—611no—
944C2×#120—611no—
945C2×#120—611no—
946C2×#120—611no—
947C2×#120—611no—
948C2×C4×D4—611no—
949C2×C4×D4—611no—
950C2×C4×D4—611no—
951C2×C4×D4—611no—
952C2×C4×D4—611no—
953C2×C4×D4—611no—
954C2×C4×D4—611no—
955C2×C4×D4—1228no—
956C2×C4×D4C2×D6111yescharacteristic
957C22×C4⋊C4—611no—
958C22×C4⋊C4—611no—
959C22×C4⋊C4—611no—
960C22×C22⋊C4—611no—
961C22×C22⋊C4—611no—
962C22×C22⋊C4—611no—
963C22×C22⋊C4—611no—
964C22×C22⋊C4—611no—
965C22×C22⋊C4—611no—
966C22×C22⋊C4—611no—
967C22×C42—611no—
968#400—611no—
969#400—611no—
970#400—611no—
971#400C2×D6111yescharacteristic, complemented
972#399—611no—
973#399—611no—
974#399—611no—
975#399—611no—
976#398—611no—
977#398—611no—
978#398—611no—
979#398C2×D6111yescharacteristic, complemented
980#397—611no—
981#397—611no—
982#397—611no—
983#397—611no—
984#397—611no—
985#397—611no—
986#397—611no—
987#397—611no—
988#397—611no—
989#397—611no—
990#397C2×D6111yescharacteristic, complemented
991#397C2×D6111yescharacteristic, complemented
992#394—611no—
993#394—611no—
994#394—611no—
995#394—611no—
996#394—611no—
997#394—611no—
998#394—611no—
999#394—611no—
1000#388—611no—
1001#388—611no—
1002#388—611no—
1003#388—611no—
1004#388—611no—
1005#388—611no—
1006#388—611no—
1007#388—611no—
1008#387—611no—
1009#387—611no—
1010#387—611no—
1011#387—611no—
1012#387—611no—
1013#387—611no—
1014#387C2×D6111yescharacteristic, complemented
1015#387C2×D6111yescharacteristic, complemented
1016#386—611no—
1017#386—611no—
1018#386—611no—
1019#386—611no—
1020#386—611no—
1021#386—611no—
1022#386—611no—
1023#386—611no—
1024#386—611no—
1025#386—611no—
1026#386—611no—
1027#386—611no—
1028#386—611no—
1029#386—611no—
1030#386—611no—
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386—611no—
1035#386—611no—
1036#386—611no—
1037#386—611no—
1038#386—611no—
1039#386—611no—
1040#386—611no—
1041#386—611no—
1042#386—611no—
1043#386C2×D6111yescharacteristic
1044#385—611no—
1045#385—611no—
1046#385—611no—
1047#385—611no—
1048#385—611no—
1049#385—611no—
1050#385—611no—
1051#385—611no—
1052#385—611no—
1053#385—611no—
1054#385—611no—
1055#385—611no—
1056#385—611no—
1057#385—611no—
1058#385—611no—
1059#385—611no—
1060#385—611no—
1061#385—611no—
1062#385C2×D6111yescharacteristic, complemented
1063#385C2×D6111yescharacteristic, complemented
1064#381—611no—
1065#381—611no—
1066#381—611no—
1067#381—611no—
1068#381—611no—
1069#381—611no—
1070#381C2×D6111yescharacteristic, complemented
1071#381C2×D6111yescharacteristic, complemented
1072#380—611no—
1073#380—611no—
1074#380—611no—
1075#380C2×D6111yescharacteristic, complemented
1076#379—611no—
1077#379—611no—
1078#379—611no—
1079#379—611no—
1080C2×#95—611no—
1081C2×#95—611no—
1082C2×#95—611no—
1083C2×#95C2×D6111yescharacteristic, complemented
1084C61#3498311yescharacteristic, complemented, Sylow
1085C25—611no—
1086C25—611no—
1087C25—611no—
1088C22×D4—611no—
1089C22×D4—611no—
1090C22×D4—618no—
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—611no—
1095C22×D4—611no—
1096C22×D4—611no—
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—611no—
1100C22×D4—1224no—
1101C22×D4—1224no—
1102C22×D4—1224no—
1103C22×D4—1224no—
1104C22×D4—1224no—
1105C22×D4C22×D6111yescharacteristic
1106C23×C4—611no—
1107C23×C4—611no—
1108C23×C4—611no—
1109C23×C4—611no—
1110C23×C4—611no—
1111C23×C4—611no—
1112C23×C4—611no—
1113C23×C4—611no—
1114C23×C4—611no—
1115C23×C4—611no—
1116C23×C4—611no—
1117C23×C4—611no—
1118C23×C4—611no—
1119C23×C4—611no—
1120C23×C4—611no—
1121C23×C4—611no—
1122C23×C4—1224no—
1123C23×C4—1224no—
1124C23×C4—2442no—
1125C23×C4—2442no—
1126C23×C4—2442no—
1127C23×C4—2442no—
1128C23×C4C22×D6111yescharacteristic
1129C23×C4C22×D6111yescharacteristic
1130C23×C4C22×D6111yescharacteristic
1131C23×C4C22×D6111yescharacteristic
1132#123—24no—
1133#123—1224no—
1134#123—1224no—
1135#123—1224no—
1136#123—2442no—
1137#123—2442no—
1138#123—2442no—
1139#123—2442no—
1140#121—1224no—
1141#121—1224no—
1142#121—1224no—
1143#121—1224no—
1144#120—1224no—
1145#120—1224no—
1146#120—1224no—
1147#120—1224no—
1148C4×D4—24no—
1149C4×D4—1224no—
1150C4×D4—1224no—
1151C4×D4—1224no—
1152C4×D4—1224no—
1153C4×D4—1224no—
1154C4×D4—1224no—
1155C4×D4—1224no—
1156C2×C4⋊C4—611no—
1157C2×C4⋊C4—611no—
1158C2×C4⋊C4—611no—
1159C2×C4⋊C4—611no—
1160C2×C4⋊C4—611no—
1161C2×C4⋊C4—611no—
1162C2×C4⋊C4—611no—
1163C2×C4⋊C4—611no—
1164C2×C4⋊C4—611no—
1165C2×C4⋊C4—611no—
1166C2×C4⋊C4—611no—
1167C2×C4⋊C4—611no—
1168C2×C4⋊C4—611no—
1169C2×C4⋊C4—611no—
1170C2×C4⋊C4—611no—
1171C2×C4⋊C4—611no—
1172C2×C4⋊C4—611no—
1173C2×C4⋊C4—1224no—
1174C2×C4⋊C4—2442no—
1175C2×C4⋊C4—2442no—
1176C2×C4⋊C4C22×D6111yescharacteristic
1177C2×C4⋊C4C22×D6111yescharacteristic
1178C2×C4⋊C4C22×D6111yescharacteristic
1179C2×C4⋊C4C22×D6111yescharacteristic
1180C2×C4⋊C4C22×D6111yescharacteristic
1181C2×C4⋊C4C22×D6111yescharacteristic
1182C2×C4⋊C4C22×D6111yescharacteristic
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—1224no—
1228C2×C22⋊C4—1224no—
1229C2×C22⋊C4—1224no—
1230C2×C22⋊C4—1224no—
1231C2×C22⋊C4—1224no—
1232C2×C22⋊C4—2442no—
1233C2×C22⋊C4—2442no—
1234C2×C22⋊C4C22×D6111yescharacteristic
1235C2×C22⋊C4C22×D6111yescharacteristic
1236C2×C22⋊C4C22×D6111yescharacteristic
1237C2×C22⋊C4C22×D6111yescharacteristic
1238C2×C22⋊C4C22×D6111yescharacteristic
1239C2×C22⋊C4C22×D6111yescharacteristic
1240C2×C22⋊C4C22×D6111yescharacteristic
1241C2×C22⋊C4C22×D6111yescharacteristic
1242C2×C42—611no—
1243C2×C42—611no—
1244C2×C42—611no—
1245C2×C42—1224no—
1246C2×C42C22×D6111yescharacteristic
1247#95—611no—
1248#95—611no—
1249#95—611no—
1250#95—611no—
1251#95—611no—
1252#95—611no—
1253#95—611no—
1254#95—611no—
1255#95—611no—
1256#95—611no—
1257#95—611no—
1258#95—611no—
1259#95—611no—
1260#95—611no—
1261#95—611no—
1262#95—611no—
1263#95—611no—
1264#95—611no—
1265#95—611no—
1266#95—611no—
1267#95—611no—
1268#95—611no—
1269#95—611no—
1270#95—611no—
1271#95—611no—
1272#95—611no—
1273#95C22×D6111yescharacteristic
1274#95C22×D6111yescharacteristic
1275#95C22×D6111yescharacteristic
1276#95C22×D6111yescharacteristic
1277#95C22×D6111yescharacteristic
1278#95C22×D6111yescharacteristic
1279#95C22×D6111yescharacteristic
1280#95C22×D6111yescharacteristic
1281#95C22×D6111yescharacteristic
1282#95C22×D6111yescharacteristic
1283#95C22×D6111yescharacteristic
1284#95C22×D6111yescharacteristic
1285#95C22×D6111yescharacteristic
1286#95C22×D6111yescharacteristic
1287C24—611no—
1288C24—611no—
1289C24—614no—
1290C24—614no—
1291C24—614no—
1292C24—611no—
1293C24—614no—
1294C24—611no—
1295C24—611no—
1296C24—1222no—
1297C24—1222no—
1298C24—1222no—
1299C24—1222no—
1300C24—1222no—
1301C24—2441no—
1302C24—2441no—
1303C24—2441no—
1304C24—2441no—
1305C24—2441no—
1306C24—2441no—
1307C24—2441no—
1308C24—2441no—
1309C24—2441no—
1310C24—2441no—
1311C24—2441no—
1312C24—2441no—
1313C24C23×D6111yescharacteristic
1314C24C23×D6111yescharacteristic
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—614no—
1318C2×D4—614no—
1319C2×D4—614no—
1320C2×D4—1222no—
1321C2×D4—1222no—
1322C2×D4—1222no—
1323C2×D4—1222no—
1324C2×D4—1222no—
1325C2×D4—1222no—
1326C2×D4—1222no—
1327C2×D4—1222no—
1328C2×D4—1222no—
1329C2×D4—1222no—
1330C2×D4—1222no—
1331C2×D4—1222no—
1332C2×D4—1222no—
1333C2×D4—1222no—
1334C2×D4—1222no—
1335C2×D4—1222no—
1336C2×D4—12232no—
1337C2×D4—1222no—
1338C2×D4—1222no—
1339C2×D4—1222no—
1340C2×D4—1222no—
1341C2×D4—1222no—
1342C2×D4—1222no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—24416no—
1348C2×D4—2441no—
1349C2×D4—2441no—
1350C2×D4—2441no—
1351C2×D4—2441no—
1352C2×D4D4×D6114yes—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—614no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—611no—
1376C22×C4—611no—
1377C22×C4—1222no—
1378C22×C4—1222no—
1379C22×C4—1222no—
1380C22×C4—1222no—
1381C22×C4—1222no—
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—1222no—
1401C22×C4—1222no—
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—24416no—
1421C22×C4—24416no—
1422C22×C4—2441no—
1423C22×C4—2441no—
1424C22×C4—2441no—
1425C22×C4—2441no—
1426C22×C4C23×D6111yescharacteristic
1427C22×C4C23×D6111yescharacteristic
1428C22×C4C23×D6111yescharacteristic
1429C22×C4C23×D6111yescharacteristic
1430C22×C4C23×D6111yescharacteristic
1431C22×C4C23×D6111yescharacteristic
1432C22×C4C23×D6111yescharacteristic
1433C22×C4C23×D6111yescharacteristic
1434C22×C4C23×D6111yescharacteristic
1435C22×C4C23×D6111yescharacteristic
1436C22×C4C23×D6111yescharacteristic
1437C22×C4C23×D6111yescharacteristic
1438C22×C4C23×D6111yescharacteristic
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—41no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—1222no—
1447C4⋊C4—1222no—
1448C4⋊C4—1222no—
1449C4⋊C4—1222no—
1450C4⋊C4—1222no—
1451C4⋊C4—1222no—
1452C4⋊C4—1222no—
1453C4⋊C4—1222no—
1454C4⋊C4—2441no—
1455C4⋊C4—2441no—
1456C4⋊C4—2441no—
1457C4⋊C4—2441no—
1458C4⋊C4—2441no—
1459C4⋊C4—2441no—
1460C4⋊C4—2441no—
1461C4⋊C4—2441no—
1462C4⋊C4—2441no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—1222no—
1472C22⋊C4—1222no—
1473C22⋊C4—1222no—
1474C22⋊C4—1222no—
1475C22⋊C4—1222no—
1476C22⋊C4—1222no—
1477C22⋊C4—1222no—
1478C22⋊C4—1222no—
1479C22⋊C4—1222no—
1480C22⋊C4—1222no—
1481C22⋊C4—1222no—
1482C22⋊C4—1222no—
1483C22⋊C4—1222no—
1484C22⋊C4—1222no—
1485C22⋊C4—1222no—
1486C22⋊C4—1222no—
1487C22⋊C4—1222no—
1488C22⋊C4—1222no—
1489C22⋊C4—1222no—
1490C22⋊C4—1222no—
1491C22⋊C4—1222no—
1492C22⋊C4—1222no—
1493C22⋊C4—1222no—
1494C22⋊C4—1222no—
1495C22⋊C4—1222no—
1496C22⋊C4—1222no—
1497C22⋊C4—2441no—
1498C22⋊C4—2441no—
1499C22⋊C4—2441no—
1500C22⋊C4—2441no—
1501C22⋊C4—2441no—
1502C22⋊C4—2441no—
1503C22⋊C4—2441no—
1504C22⋊C4—2441no—
1505C22⋊C4—2441no—
1506C22⋊C4—2441no—
1507C22⋊C4—2441no—
1508C22⋊C4—2441no—
1509C22⋊C4—2441no—
1510C22⋊C4—2441no—
1511C22⋊C4—2441no—
1512C22⋊C4—2441no—
1513C22⋊C4—2441no—
1514C22⋊C4—2441no—
1515C42—22no—
1516C42—1222no—
1517C42—1222no—
1518C42—1222no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—612no—
1530C23—612no—
1531C23—612no—
1532C23—612no—
1533C23—612no—
1534C23—612no—
1535C23—6116no—
1536C23—612no—
1537C23—1228no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—1221no—
1543C23—1221no—
1544C23—1221no—
1545C23—1221no—
1546C23—1221no—
1547C23—1221no—
1548C23—1221no—
1549C23—1221no—
1550C23—1221no—
1551C23—1221no—
1552C23—1221no—
1553C23—1221no—
1554C23—1221no—
1555C23—1221no—
1556C23—1221no—
1557C23—1221no—
1558C23—1221no—
1559C23—1221no—
1560C23—1221no—
1561C23—1221no—
1562C23—1221no—
1563C23—1221no—
1564C23—1221no—
1565C23—1221no—
1566C23—4882no—
1567C23—4882no—
1568C23—4882no—
1569C23—4882no—
1570C23—2444no—
1571C23—2444no—
1572C23—2444no—
1573C23—2444no—
1574C23—2444no—
1575C23—2444no—
1576C23—2444no—
1577C23—2444no—
1578C23—2444no—
1579C23—2444no—
1580C23—2444no—
1581C23—2444no—
1582C23—2444no—
1583C23—2444no—
1584C23—2444no—
1585C23C2×D4×D6112yes—
1586C23C2×D4×D6112yes—
1587C23#41×D6112yes—
1588C23#41×D6112yes—
1589C23C24×D6111yescharacteristic
1590D4—28no—
1591D4—1228no—
1592D4—1228no—
1593D4—1228no—
1594D4—4882no—
1595D4—4882no—
1596D4—4882no—
1597D4—4882no—
1598D4—2444no—
1599D4—2444no—
1600D4—2444no—
1601D4—2444no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—82no—
1643C2×C4—612no—
1644C2×C4—612no—
1645C2×C4—1228no—
1646C2×C4—1228no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—1221no—
1671C2×C4—1221no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—4882no—
1679C2×C4—4882no—
1680C2×C4—4882no—
1681C2×C4—2444no—
1682C2×C4—2444no—
1683C2×C4—2444no—
1684C2×C4—2444no—
1685C2×C4—2444no—
1686C2×C4—2444no—
1687C2×C4—2444no—
1688C2×C4—2444no—
1689C2×C4—2444no—
1690C2×C4—2444no—
1691C2×C4—2444no—
1692C2×C4C2×D4×D6112yes—
1693C2×C4#1451982312yes—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—614no—
1708C22—614no—
1709C22—1222no—
1710C22—1222no—
1711C22—1222no—
1712C22—1222no—
1713C22—1222no—
1714C22—1222no—
1715C22—1222no—
1716C22—1222no—
1717C22—1222no—
1718C22—1222no—
1719C22—1222no—
1720C22—1222no—
1721C22—1222no—
1722C22—1222no—
1723C22—1222no—
1724C22—4888no—
1725C22—24416no—
1726C22—24416no—
1727C22—2441no—
1728C22—2441no—
1729C22—2441no—
1730C22—2441no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22—2441no—
1738C22—2441no—
1739C22—2441no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22#123×D6114yes—
1746C22C22×D4×D6111yescharacteristic
1747C22C2×#41×D6111yescharacteristic
1748C22C2×#41×D6111yescharacteristic
1749C22H(5,𝔽2)×D6111yescharacteristic
1750C22C2×#1451982311yescharacteristic
1751C22#1684059811yescharacteristic
1752C22#1684059911yescharacteristic
1753C4—22no—
1754C4—22no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—1222no—
1767C4—1222no—
1768C4—2441no—
1769C4—2441no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4—2441no—
1774C4—2441no—
1775C4—2441no—
1776C4—2441no—
1777C2—24no—
1778C2—42no—
1779C2—1224no—
1780C2—1224no—
1781C2—4881no—
1782C2—4881no—
1783C2—2442no—
1784C2C2×#123×D6111yescharacteristic
1785C2#2145922711yescharacteristic
1786C2#2145922911yescharacteristic
1787C2#2145944911yescharacteristic
1788C2#2145945811yescharacteristic
1789C2#2145965011yescharacteristic
1790C2#2145965911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2419C2
prime radicalC2×#16840323C2
hypercenter#2419D61
hypocenterC61#34983
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D61C2semidirect
3. #21454143C2semidirect
4. #21454143C2semidirect
5. #21454114C2semidirect
6. #21454112C2semidirect
7. #21451606C2semidirect
8. #21451600C2semidirect
9. #21451593C2semidirect
10. #21451593C2semidirect
11. #21449574C2semidirect
12. #21449570C2semidirect
13. #21449568C2semidirect
14. #21449564C2semidirect
15. #21449559C2semidirect
16. #21449555C2semidirect
17. #21449553C2semidirect
18. #21449549C2semidirect
19. #21449300C2semidirect
20. #21449296C2semidirect
21. #21449292C2semidirect
22. #21449287C2semidirect
23. #21449283C2semidirect
24. #21449279C2semidirect
25. #21449275C2semidirect
26. #21448432C2semidirect
27. #21448396C2semidirect
28. #21448393C2semidirect
29. C2×#16839640C2semidirect
30. #385×D61C2semidirect
31. C61×#2419C2semidirect
35. C23×C4×D61C22semidirect
39. C2×#14519762C22semidirect
40. C2×#14519762C22semidirect
41. C2×#14519761C22semidirect
43. C2×#14519760C22semidirect
52. C2×C4×D244C22semidirect
54. C2×#14519739C22semidirect
56. C2×C4×C22⋊D61C22semidirect
58. C2×#14519737C22semidirect
60. C2×C4⋊C4×D61C22semidirect
61. C2×C4⋊C4×D61C22semidirect
62. C2×C4⋊C4×D61C22semidirect
64. C22×#11758198C22semidirect
65. C22×#11758198C22semidirect
69. C2×C22⋊C4×D61C22semidirect
70. C2×C42×D61C22semidirect
71. #16839703C22semidirect
72. #16839703C22semidirect
73. #16839701C22semidirect
74. #16839699C22semidirect
75. #16839697C22semidirect
76. #16839697C22semidirect
77. #16839697C22semidirect
78. #16839696C22semidirect
79. #16839696C22semidirect
80. #16839692C22semidirect
81. #16839691C22semidirect
82. #16839691C22semidirect
83. #16839691C22semidirect
84. #16839691C22semidirect
85. #16839690C22semidirect
86. #16839690C22semidirect
87. #16839689C22semidirect
88. #16839689C22semidirect
89. #16839689C22semidirect
90. #16839688C22semidirect
91. #16839680C22semidirect
92. #16839680C22semidirect
93. #16839679C22semidirect
94. #16839679C22semidirect
95. #16839678C22semidirect
96. #16839678C22semidirect
97. #16839677C22semidirect
98. #16839677C22semidirect
99. #16839654C22semidirect
100. #16839654C22semidirect
101. #16839653C22semidirect
102. #16839653C22semidirect
103. #16839652C22semidirect
104. #16839652C22semidirect
105. #16839651C22semidirect
106. #16839651C22semidirect
107. #16839645C22semidirect
108. #16839645C22semidirect
109. #16839644C22semidirect
110. #16839644C22semidirect
111. #16839643C22semidirect
112. #16839643C22semidirect
115. #16839641C22semidirect
124. #16839640C22semidirect
125. #16839640C22semidirect
126. #16839640C22semidirect
127. #16839640C22semidirect
128. #16839640C22semidirect
129. #16839640C22semidirect
130. #16839640C22semidirect
131. #16839640C22semidirect
132. #16839640C22semidirect
133. #16839640C22semidirect
134. #16839640C22semidirect
135. #16839640C22semidirect
137. #16839639C22semidirect
138. #16839638C22semidirect
139. #16839638C22semidirect
140. #16839637C22semidirect
141. #16839636C22semidirect
142. #16839636C22semidirect
143. #16839636C22semidirect
144. #16839636C22semidirect
145. #16839636C22semidirect
146. #16839636C22semidirect
147. #16839636C22semidirect
148. #16839636C22semidirect
149. #16839635C22semidirect
150. #16839634C22semidirect
151. #16839634C22semidirect
152. #16839633C22semidirect
153. #16839633C22semidirect
154. #16839633C22semidirect
155. #16839633C22semidirect
156. #16839633C22semidirect
157. #16839633C22semidirect
158. #16839625C22semidirect
159. #16839624C22semidirect
160. #16839624C22semidirect
161. #16839624C22semidirect
162. #16839624C22semidirect
163. #16839623C22semidirect
164. #16839622C22semidirect
165. #16839620C22semidirect
166. #16839620C22semidirect
167. #16839617C22semidirect
168. #16839617C22semidirect
169. #16839617C22semidirect
170. #16839617C22semidirect
171. C2×#14519684C22semidirect
172. #95×D61C22semidirect
173. #95×D61C22semidirect
176. C61×#400C22semidirect
177. C61×#398C22semidirect
178. C61×#397C22semidirect
179. C61×#397C22semidirect
180. C61×#387C22semidirect
181. C61×#387C22semidirect
183. C61×#385C22semidirect
184. C61×#385C22semidirect
185. C61×#381C22semidirect
186. C61×#381C22semidirect
187. C61×#380C22semidirect
188. C2×#95×C61C22semidirect
686. C22×D61#123semidirect
903. #2419D61semidirect
971. #400C2×D61semidirect
979. #398C2×D61semidirect
990. #397C2×D61semidirect
991. #397C2×D61semidirect
1014. #387C2×D61semidirect
1015. #387C2×D61semidirect
1062. #385C2×D61semidirect
1063. #385C2×D61semidirect
1070. #381C2×D61semidirect
1071. #381C2×D61semidirect
1075. #380C2×D61semidirect
1083. C2×#95C2×D61semidirect
1084. C61#34983semidirect

Maximal subgroups

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

subgroupindex
C2×#168403232
C2×C4×D4×D612
#214541432
#214541142
#214541122
#214516062
#214516002
#214515932
#214495742
#214495702
#214495682
#214495642
#214495592
#214495552
#214495532
#214495492
#214493002
#214492962
#214492922
#214492872
#214492832
#214492792
#214492752
#214484322
#214483962
#214483932
C2×#168396402
#385×D612
C61×#24192
#3498361