Finite Group Databasebeta

← #29887370

Subgroups — #29887370

Order 15616.

2954 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840327C211yesmaximal, characteristic, complemented
2C2×#16840322C211yesmaximal, characteristic, complemented
3#21454101C211yesmaximal, characteristic, complemented
4#21452655C211yesmaximal, characteristic, complemented
5#21452547C211yesmaximal, characteristic, complemented
6#21452534C211yesmaximal, characteristic, complemented
7#21452532C211yesmaximal, characteristic, complemented
8#21452252C211yesmaximal, characteristic, complemented
9#21452250C211yesmaximal, characteristic, complemented
10#21452222C211yesmaximal, characteristic, complemented
11#21452220C211yesmaximal, characteristic, complemented
12#21452196C211yesmaximal, characteristic, complemented
13#21452082C211yesmaximal, characteristic, complemented
14#21452080C211yesmaximal, characteristic, complemented
15#21452052C211yesmaximal, characteristic, complemented
16#21452050C211yesmaximal, characteristic, complemented
17#21452031C211yesmaximal, characteristic, complemented
18#21452024C211yesmaximal, characteristic, complemented
19#21452022C211yesmaximal, characteristic, complemented
20#21451557C211yesmaximal, characteristic, complemented
21#21451557C211yesmaximal, characteristic, complemented
22#21450261C211yesmaximal, characteristic, complemented
23#21450259C211yesmaximal, characteristic, complemented
24#21449427C211yesmaximal, characteristic, complemented
25#21449425C211yesmaximal, characteristic, complemented
26#21449214C211yesmaximal, characteristic, complemented
27#21449212C211yesmaximal, characteristic, complemented
28#21449192C211yesmaximal, characteristic, complemented
29#21449190C211yesmaximal, characteristic, complemented
30C2×#16839641C211yesmaximal, characteristic, complemented
31C61×#2847C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic, complemented
33C23×C22⋊D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35#16840327—28no—
36#16840322—28no—
37C2×#14519773C2211yescharacteristic
38C2×#14519773C2211yescharacteristic, complemented
39C2×#14519763C2211yescharacteristic
40C2×#14519763C2211yescharacteristic, complemented
41C2×#14519762C2211yescharacteristic, complemented
42C2×#14519761C2211yescharacteristic
43C2×#14519759C2211yescharacteristic
44C2×#14519759C2211yescharacteristic
45C2×#14519759C2211yescharacteristic, complemented
46C2×#14519758C2211yescharacteristic
47C2×#14519751C2211yescharacteristic
48C2×#14519751C2211yescharacteristic, complemented
49C2×#14519751C2211yescharacteristic, complemented
50C2×#14519750C2211yescharacteristic
51C2×#14519750C2211yescharacteristic
52C2×#14519750C2211yescharacteristic
53C2×#14519750C2211yescharacteristic, complemented
54C2×#14519749C2211yescharacteristic
55C2×#14519749C2211yescharacteristic
56C2×#14519749C2211yescharacteristic
57C2×#14519749C2211yescharacteristic, complemented
58C2×#14519748C2211yescharacteristic
59C2×#14519748C2211yescharacteristic
60C2×#14519747C2211yescharacteristic
61C2×#14519747C2211yescharacteristic, complemented
62C2×#14519746C2211yescharacteristic
63C2×#14519746C2211yescharacteristic, complemented
64C2×#14519745C2211yescharacteristic
65C2×#14519745C2211yescharacteristic
66C2×#14519745C2211yescharacteristic
67C2×#14519745C2211yescharacteristic, complemented
68C2×#14519733C2211yescharacteristic, complemented
69C22×C22⋊Dic61C2211yescharacteristic, complemented
70C22×#11758198C2211yescharacteristic
71C22×#11758198C2211yescharacteristic
72C2×C22⋊C4×D61C2211yescharacteristic
73#16839704C2211yescharacteristic, complemented
74#16839703C2211yescharacteristic, complemented
75#16839698C2211yescharacteristic, complemented
76#16839697C2211yescharacteristic, complemented
77#16839696C2211yescharacteristic, complemented
78#16839695C2211yescharacteristic, complemented
79#16839691C2211yescharacteristic, complemented
80#16839691C2211yescharacteristic, complemented
81#16839691C2211yescharacteristic, complemented
82#16839690C2211yescharacteristic, complemented
83#16839690C2211yescharacteristic, complemented
84#16839690C2211yescharacteristic, complemented
85#16839690C2211yescharacteristic, complemented
86#16839690C2211yescharacteristic, complemented
87#16839689C2211yescharacteristic, complemented
88#16839688C2211yescharacteristic, complemented
89#16839683C2211yescharacteristic, complemented
90#16839682C2211yescharacteristic, complemented
91#16839680C2211yescharacteristic, complemented
92#16839680C2211yescharacteristic, complemented
93#16839679C2211yescharacteristic, complemented
94#16839679C2211yescharacteristic, complemented
95#16839678C2211yescharacteristic, complemented
96#16839678C2211yescharacteristic, complemented
97#16839678C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic, complemented
99#16839677C2211yescharacteristic, complemented
100#16839677C2211yescharacteristic, complemented
101#16839677C2211yescharacteristic, complemented
102#16839677C2211yescharacteristic, complemented
103#16839677C2211yescharacteristic, complemented
104#16839677C2211yescharacteristic, complemented
105#16839676C2211yescharacteristic, complemented
106#16839676C2211yescharacteristic, complemented
107#16839676C2211yescharacteristic, complemented
108#16839676C2211yescharacteristic, complemented
109#16839675C2211yescharacteristic, complemented
110#16839674C2211yescharacteristic, complemented
111#16839672C2211yescharacteristic, complemented
112#16839671C2211yescharacteristic, complemented
113#16839671C2211yescharacteristic, complemented
114#16839671C2211yescharacteristic, complemented
115#16839670C2211yescharacteristic, complemented
116#16839670C2211yescharacteristic, complemented
117#16839670C2211yescharacteristic, complemented
118#16839670C2211yescharacteristic, complemented
119#16839670C2211yescharacteristic, complemented
120#16839670C2211yescharacteristic, complemented
121#16839656C2211yescharacteristic, complemented
122#16839655C2211yescharacteristic, complemented
123#16839652C2211yescharacteristic, complemented
124#16839651C2211yescharacteristic, complemented
125#16839649C2211yescharacteristic, complemented
126#16839648C2211yescharacteristic, complemented
127#16839645C2211yescharacteristic, complemented
128#16839644C2211yescharacteristic, complemented
129#16839642C2211yescharacteristic
130#16839642C2211yescharacteristic, complemented
131#16839642C2211yescharacteristic, complemented
132#16839641C2211yescharacteristic
133#16839641C2211yescharacteristic
134#16839641C2211yescharacteristic
135#16839641C2211yescharacteristic
136#16839641C2211yescharacteristic
137#16839641C2211yescharacteristic, complemented
138#16839641C2211yescharacteristic, complemented
139#16839641C2211yescharacteristic, complemented
140#16839641C2211yescharacteristic, complemented
141#16839641C2211yescharacteristic, complemented
142#16839641C2211yescharacteristic, complemented
143#16839641C2211yescharacteristic, complemented
144#16839641C2211yescharacteristic, complemented
145#16839641C2211yescharacteristic, complemented
146#16839640C2211yescharacteristic, complemented
147#16839640C2211yescharacteristic, complemented
148#16839640C2211yescharacteristic, complemented
149#16839639C2211yescharacteristic
150#16839639C2211yescharacteristic, complemented
151#16839639C2211yescharacteristic, complemented
152#16839638C2211yescharacteristic, complemented
153#16839638C2211yescharacteristic, complemented
154#16839638C2211yescharacteristic, complemented
155#16839637C2211yescharacteristic, complemented
156#16839636C2211yescharacteristic, complemented
157#16839636C2211yescharacteristic, complemented
158#16839636C2211yescharacteristic, complemented
159#16839634C2211yescharacteristic, complemented
160#16839633C2211yescharacteristic, complemented
161#16839633C2211yescharacteristic, complemented
162#16839633C2211yescharacteristic, complemented
163#16839624C2211yescharacteristic, complemented
164#16839624C2211yescharacteristic, complemented
165#16839622C2211yescharacteristic, complemented
166#16839622C2211yescharacteristic, complemented
167#16839622C2211yescharacteristic, complemented
168#16839620C2211yescharacteristic, complemented
169#16839620C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic, complemented
172C2×#14519684C2211yescharacteristic, complemented
173C2×#14519684C2211yescharacteristic, complemented
174C24×C4×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic
176C2×#121×C61C2211yescharacteristic, complemented
177C2×#121×C61C2211yescharacteristic, complemented
178C2×#120×C61C2211yescharacteristic
179C2×#120×C61C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#380C2211yescharacteristic, complemented
187C61×#380C2211yescharacteristic, complemented
188C61×#380C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C2×#11758224—24no—
192C2×#11758224—42no—
193C2×#11758224—42no—
194C22×Dic122C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×C22⋊D61—42no—
200C22×C22⋊D61—42no—
201C22×C22⋊D61D418yescomplemented
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C22×C22⋊D61C2311yescharacteristic
215C22×C22⋊D61C2311yescharacteristic
216C22×C22⋊D61C2311yescharacteristic
217C22×C22⋊D61C2311yescharacteristic
218C2×D4×D61—24no—
219C2×D4×D61—42no—
220C2×D4×D61—42no—
221C23×Dic61C2311yescharacteristic
222C23×Dic61C2311yescharacteristic
223C23×Dic61C2311yescharacteristic
224C23×Dic61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229#14519773—24no—
230#14519773—24no—
231#14519763—24no—
232#14519763—24no—
233#14519762—42no—
234#14519761—24no—
235#14519759—24no—
236#14519759—24no—
237#14519759—42no—
238#14519758—24no—
239#14519751—42no—
240#14519751—42no—
241#14519751—42no—
242#14519750—24no—
243#14519750—24no—
244#14519750—24no—
245#14519750—24no—
246#14519749—24no—
247#14519749—24no—
248#14519749—42no—
249#14519749—42no—
250#14519748—24no—
251#14519748—24no—
252#14519747—24no—
253#14519747—42no—
254#14519746—24no—
255#14519746—24no—
256#14519745—24no—
257#14519745—24no—
258#14519745—24no—
259#14519745—42no—
260#14519733—24no—
261C2×C4⋊Dic61C2311yescharacteristic
262C2×C4⋊Dic61C2311yescharacteristic
263C2×C4⋊Dic61C2311yescharacteristic
264C2×C4⋊Dic61C2311yescharacteristic
265C2×C4⋊Dic61C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×C22⋊Dic61—42no—
277C2×C22⋊Dic61C2311yescharacteristic
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×#11758198—42no—
296C2×#11758198—42no—
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×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C22⋊C4×D61—24no—
326C2×C4×Dic61C2311yescharacteristic
327C2×C4×Dic61C2311yescharacteristic
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
354C25×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C22×D4×C61C2311yescharacteristic
358C22×D4×C61C2311yescharacteristic
359C22×D4×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C23×C4×C61—42no—
363C23×C4×C61—42no—
364C23×C4×C61—42no—
365C23×C4×C61C2311yescharacteristic
366C23×C4×C61C2311yescharacteristic
367C23×C4×C61C2311yescharacteristic
368C23×C4×C61C2311yescharacteristic
369C23×C4×C61C2311yescharacteristic
370C23×C4×C61C2311yescharacteristic
371#121×C61—42no—
372#121×C61—42no—
373#121×C61—42no—
374#120×C61—24no—
375#120×C61—24no—
376C2×C4⋊C4×C61C2311yescharacteristic
377C2×C4⋊C4×C61C2311yescharacteristic
378C2×C4⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389C2×C22⋊C4×C61C2311yescharacteristic
390C2×C22⋊C4×C61C2311yescharacteristic
391#95×C61C2311yescharacteristic
392#95×C61C2311yescharacteristic
393#95×C61C2311yescharacteristic
394#95×C61C2311yescharacteristic
395#95×C61C2311yescharacteristic
396#95×C61C2311yescharacteristic
397C24×C61—22no—
398C24×C61—22no—
399C24×C61—41no—
400C24×C61—41no—
401C24×C61—41no—
402C24×C61—41no—
403C24×C61C2×D414yes—
404C24×C61C2411yescharacteristic
405C24×C61C2411yescharacteristic
406C24×C61C2411yescharacteristic
407C24×C61C2411yescharacteristic
408C24×C61C2411yescharacteristic
409C23×D61—22no—
410C23×D61—22no—
411C23×D61—22no—
412C23×D61—41no—
413C23×D61—41no—
414C23×D61—41no—
415C23×D61—41no—
416C23×D61—41no—
417C23×D61—41no—
418C23×D61—41no—
419C23×D61—41no—
420C23×D61—41no—
421C23×D61—41no—
422C23×D61C2×D414yes—
423C23×D61C2411yescharacteristic
424C23×D61C2411yescharacteristic
425C23×D61C2411yescharacteristic
426C23×D61C2411yescharacteristic
427C2×D4×C61—22no—
428C2×D4×C61—22no—
429C2×D4×C61—22no—
430C2×D4×C61—22no—
431C2×D4×C61—22no—
432C2×D4×C61—22no—
433C2×D4×C61—22no—
434C2×D4×C61—22no—
435C2×D4×C61—22no—
436C2×D4×C61—22no—
437C2×D4×C61—22no—
438C2×D4×C61—41no—
439C2×D4×C61—41no—
440C2×D4×C61—41no—
441C2×D4×C61—41no—
442C2×D4×C61—41no—
443C2×D4×C61—41no—
444C2×D4×C61—41no—
445C2×D4×C61—41no—
446C2×D4×C61—41no—
447C2×D4×C61—41no—
448C22×C4×C61—22no—
449C22×C4×C61—22no—
450C22×C4×C61—22no—
451C22×C4×C61—22no—
452C22×C4×C61—22no—
453C22×C4×C61—22no—
454C22×C4×C61—22no—
455C22×C4×C61—22no—
456C22×C4×C61—41no—
457C22×C4×C61—41no—
458C22×C4×C61—41no—
459C22×C4×C61—41no—
460C22×C4×C61—41no—
461C22×C4×C61—41no—
462C22×C4×C61—41no—
463C22×C4×C61—41no—
464C22×C4×C61—41no—
465C22×C4×C61—41no—
466C22×C4×C61—416no—
467C22×C4×C61C2411yescharacteristic
468C22×C4×C61C2411yescharacteristic
469C22×C4×C61C2411yescharacteristic
470C22×C4×C61C2411yescharacteristic
471C22×C4×C61C2411yescharacteristic
472C22×C4×C61C2411yescharacteristic
473C22×C4×C61C2411yescharacteristic
474C22×C4×C61C2411yescharacteristic
475C22×C4×C61C2411yescharacteristic
476C22×C4×C61C2411yescharacteristic
477C2×C22⋊D61—22no—
478C2×C22⋊D61—22no—
479C2×C22⋊D61—22no—
480C2×C22⋊D61—22no—
481C2×C22⋊D61—22no—
482C2×C22⋊D61—22no—
483C2×C22⋊D61—22no—
484C2×C22⋊D61—22no—
485C2×C22⋊D61—22no—
486C2×C22⋊D61—22no—
487C2×C22⋊D61—22no—
488C2×C22⋊D61—22no—
489C2×C22⋊D61—22no—
490C2×C22⋊D61—22no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61—416no—
494C2×C22⋊D61—41no—
495C2×C22⋊D61—41no—
496C2×C22⋊D61—41no—
497C2×C22⋊D61—41no—
498C2×C22⋊D61—41no—
499C2×C22⋊D61—41no—
500C2×C22⋊D61—41no—
501C2×C22⋊D61—41no—
502C2×C22⋊D61—41no—
503C2×C22⋊D61—41no—
504C2×C22⋊D61—41no—
505C2×C22⋊D61—41no—
506C2×C22⋊D61—41no—
507C2×C22⋊D61—41no—
508C2×C22⋊D61—41no—
509C2×C22⋊D61—41no—
510C2×C22⋊D61—41no—
511C2×C22⋊D61—41no—
512C2×C22⋊D61—41no—
513C2×C22⋊D61—41no—
514C2×C22⋊D61—41no—
515C2×C22⋊D61—41no—
516C2×C22⋊D61—41no—
517C2×C22⋊D61—41no—
518C2×C22⋊D61—41no—
519C2×C22⋊D61—41no—
520C2×C22⋊D61—41no—
521C2×C22⋊D61—41no—
522C2×C22⋊D61C2×D414yes—
523C2×C22⋊D61C2×D414yes—
524C2×C22⋊D61C2×D414yes—
525C2×C22⋊D61C2×D414yes—
526C22×Dic61—22no—
527C22×Dic61—22no—
528C22×Dic61—22no—
529C22×Dic61—22no—
530C22×Dic61—22no—
531C22×Dic61—41no—
532C22×Dic61—41no—
533C22×Dic61—41no—
534C22×Dic61—41no—
535C22×Dic61—41no—
536C22×Dic61—41no—
537C22×Dic61C2×D414yes—
538C22×Dic61C2411yescharacteristic
539C22×Dic61C2411yescharacteristic
540C22×Dic61C2411yescharacteristic
541C22×Dic61C2411yescharacteristic
542C22×Dic61C2411yescharacteristic
543C22×Dic61C2411yescharacteristic
544C22×Dic61C2411yescharacteristic
545C22×Dic61C2411yescharacteristic
546C22×Dic61C2411yescharacteristic
547C22×Dic61C2411yescharacteristic
548C22×Dic61C2411yescharacteristic
549C22×Dic61C2411yescharacteristic
550#11758224—416no—
551D4×D61—416no—
552C2×D244—22no—
553C2×D244—22no—
554C2×D244—22no—
555C2×D244—22no—
556C2×D244—41no—
557C2×D244—41no—
558C2×D244—41no—
559C2×D244—41no—
560C2×D244—41no—
561C2×D244—41no—
562C2×D244—41no—
563C2×D244—41no—
564C2×C4×D61—22no—
565C2×C4×D61—22no—
566C2×C4×D61—22no—
567C2×C4×D61—22no—
568C2×C4×D61—41no—
569C2×C4×D61—41no—
570C2×C4×D61—41no—
571C2×C4×D61—41no—
572C2×C4×D61—41no—
573C2×C4×D61—41no—
574C2×C4×D61—41no—
575C2×C4×D61—41no—
576C2×Dic122—22no—
577C2×Dic122—41no—
578C2×Dic122—41no—
579C4⋊C4×C61—22no—
580C4⋊C4×C61—41no—
581C4⋊C4×C61—41no—
582C22⋊C4×C61—22no—
583C22⋊C4×C61—22no—
584C22⋊C4×C61—22no—
585C22⋊C4×C61—22no—
586C22⋊C4×C61—22no—
587C22⋊C4×C61—22no—
588C22⋊C4×C61—22no—
589C22⋊C4×C61—22no—
590C22⋊C4×C61—41no—
591C22⋊C4×C61—41no—
592C22⋊C4×C61—41no—
593C22⋊C4×C61—41no—
594C22⋊Dic61—22no—
595C22⋊Dic61—22no—
596C22⋊Dic61—22no—
597C22⋊Dic61—22no—
598C22⋊Dic61—22no—
599C22⋊Dic61—22no—
600C22⋊Dic61—22no—
601C22⋊Dic61—22no—
602C22⋊Dic61—41no—
603C22⋊Dic61—41no—
604C22⋊Dic61—41no—
605C22⋊Dic61—41no—
606C22⋊Dic61—41no—
607C22⋊Dic61—41no—
608C22⋊Dic61—41no—
609C22⋊Dic61—41no—
610C22⋊Dic61—41no—
611C22⋊Dic61—41no—
612#11758198—22no—
613#11758198—22no—
614#11758198—22no—
615#11758198—22no—
616#11758198—22no—
617#11758198—22no—
618#11758198—22no—
619#11758198—22no—
620#11758198—22no—
621#11758198—22no—
622#11758198—22no—
623#11758198—22no—
624#11758198—22no—
625#11758198—22no—
626#11758198—41no—
627#11758198—41no—
628#11758198—41no—
629#11758198—41no—
630#11758198—41no—
631#11758198—41no—
632#11758198—41no—
633#11758198—41no—
634#11758198—41no—
635#11758198—41no—
636#11758198—41no—
637#11758198—41no—
638#11758198—41no—
639#11758198—41no—
640C4⋊Dic61—22no—
641C4⋊Dic61—22no—
642C4⋊Dic61—22no—
643C4⋊Dic61—41no—
644C4⋊Dic61—41no—
645#11758196—22no—
646#11758196—22no—
647#11758196—22no—
648#11758196—22no—
649#11758196—41no—
650#11758196—41no—
651#11758196—41no—
652#11758196—41no—
653#11758196—41no—
654#11758196—41no—
655C4×Dic61—22no—
656C4×Dic61—22no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—28no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61—21no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61—21no—
668C23×C61—21no—
669C23×C61—21no—
670C23×C61—21no—
671C23×C61—21no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—21no—
679C23×C61—21no—
680C23×C61—21no—
681C23×C61—21no—
682C23×C61—21no—
683C23×C61—21no—
684C23×C61—21no—
685C23×C61—21no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61—44no—
689C23×C61—44no—
690C23×C61—44no—
691C23×C61—44no—
692C23×C61—44no—
693C23×C61—44no—
694C23×C61C22×D412yes—
695C23×C61C22×D412yes—
696C23×C61C22×D412yes—
697C23×C61H(5,𝔽2)12yes—
698C23×C61H(5,𝔽2)12yes—
699C23×C61C2511yescharacteristic
700C22×D61—21no—
701C22×D61—21no—
702C22×D61—21no—
703C22×D61—21no—
704C22×D61—21no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—28no—
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—21no—
718C22×D61—21no—
719C22×D61—21no—
720C22×D61—21no—
721C22×D61—21no—
722C22×D61—21no—
723C22×D61—21no—
724C22×D61—21no—
725C22×D61—21no—
726C22×D61—21no—
727C22×D61—44no—
728C22×D61—44no—
729C22×D61—44no—
730C22×D61—82no—
731C22×D61—82no—
732C22×D61—82no—
733C22×D61—82no—
734C22×D61—82no—
735C22×D61—82no—
736C22×D61—82no—
737C22×D61—82no—
738C22×D61—82no—
739C22×D61—82no—
740C22×D61C22×D412yes—
741C22×D61C22×D412yes—
742D4×C61—44no—
743D4×C61—44no—
744D4×C61—82no—
745D4×C61—82no—
746D4×C61—82no—
747D4×C61—82no—
748D4×C61—82no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—44no—
778C2×C4×C61—44no—
779C2×C4×C61—44no—
780C2×C4×C61—44no—
781C2×C4×C61—44no—
782C2×C4×C61—44no—
783C2×C4×C61H(5,𝔽2)12yes—
784C2×C4×C61H(5,𝔽2)12yes—
785C22⋊D61—44no—
786C22⋊D61—44no—
787C22⋊D61—44no—
788C22⋊D61—44no—
789C22⋊D61—44no—
790C22⋊D61—44no—
791C22⋊D61—44no—
792C22⋊D61—44no—
793C22⋊D61—82no—
794C22⋊D61—82no—
795C22⋊D61—82no—
796C22⋊D61—82no—
797C22⋊D61—82no—
798C22⋊D61—82no—
799C22⋊D61—82no—
800C22⋊D61—82no—
801C2×Dic61—28no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—21no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—21no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—21no—
820C2×Dic61—21no—
821C2×Dic61—21no—
822C2×Dic61—21no—
823C2×Dic61—21no—
824C2×Dic61—21no—
825C2×Dic61—21no—
826C2×Dic61—21no—
827C2×Dic61—21no—
828C2×Dic61—21no—
829C2×Dic61—21no—
830C2×Dic61—21no—
831C2×Dic61—21no—
832C2×Dic61—21no—
833C2×Dic61—21no—
834C2×Dic61—21no—
835C2×Dic61—21no—
836C2×Dic61—44no—
837C2×Dic61—82no—
838C2×Dic61—82no—
839C2×Dic61C22×D412yes—
840C2×Dic61C22×D412yes—
841D244—44no—
842D244—82no—
843D244—82no—
844D244—82no—
845C4×D61—44no—
846C4×D61—44no—
847C4×D61—82no—
848C4×D61—82no—
849Dic122—44no—
850#36737—611nomaximal, Sylow
851C22×C61—22no—
852C22×C61—22no—
853C22×C61—22no—
854C22×C61—22no—
855C22×C61—22no—
856C22×C61—22no—
857C22×C61—22no—
858C22×C61—22no—
859C22×C61—22no—
860C22×C61—22no—
861C22×C61—22no—
862C22×C61—22no—
863C22×C61—416no—
864C22×C61—41no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61—41no—
868C22×C61—41no—
869C22×C61—41no—
870C22×C61—41no—
871C22×C61—41no—
872C22×C61—41no—
873C22×C61—41no—
874C22×C61—41no—
875C22×C61—41no—
876C22×C61—41no—
877C22×C61—41no—
878C22×C61—41no—
879C22×C61—41no—
880C22×C61—41no—
881C22×C61—41no—
882C22×C61—41no—
883C22×C61—41no—
884C22×C61—41no—
885C22×C61—41no—
886C22×C61#53414yes—
887C22×C61C23×D411yescharacteristic
888C22×C61C2×H(5,𝔽2)11yescharacteristic
889C22×C61C2×H(5,𝔽2)11yescharacteristic
890C22×C61C2×H(5,𝔽2)11yescharacteristic
891C22×C61C2×H(5,𝔽2)11yescharacteristic
892C22×C61#58511yescharacteristic
893C22×C61#58511yescharacteristic
894C2×D61—22no—
895C2×D61—22no—
896C2×D61—22no—
897C2×D61—22no—
898C2×D61—22no—
899C2×D61—22no—
900C2×D61—41no—
901C2×D61—41no—
902C2×D61—41no—
903C2×D61—41no—
904C2×D61—41no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—41no—
912C2×D61—41no—
913C2×D61—41no—
914C2×D61—41no—
915C2×D61—41no—
916C2×D61—41no—
917C2×D61—41no—
918C2×D61—41no—
919C2×D61—41no—
920C2×D61—41no—
921C2×D61—41no—
922C2×D61—88no—
923C2×D61—88no—
924C4×C61—22no—
925C4×C61—22no—
926C4×C61—41no—
927C4×C61—41no—
928C4×C61—41no—
929C4×C61—41no—
930C4×C61—41no—
931C4×C61—41no—
932C4×C61—41no—
933C4×C61—41no—
934Dic61—22no—
935Dic61—22no—
936Dic61—41no—
937Dic61—41no—
938Dic61—41no—
939Dic61—41no—
940Dic61—41no—
941Dic61—41no—
942Dic61—41no—
943Dic61—41no—
944Dic61—41no—
945Dic61—41no—
946C2×#535—611no—
947C2×#534—611no—
948#2847—611no—
949#2847D6111yescharacteristic, complemented
950#2717—611no—
951#2709—611no—
952#2708—611no—
953#2708—611no—
954#2688—611no—
955#2688—611no—
956#2686—611no—
957#2686—611no—
958#2684—611no—
959#2673—611no—
960#2673—611no—
961#2671—611no—
962#2671—611no—
963#2669—611no—
964#2668—611no—
965#2668—611no—
966#2617—611no—
967#2617—611no—
968#2498—611no—
969#2498—611no—
970#2430—611no—
971#2430—611no—
972#2412—611no—
973#2412—611no—
974#2410—611no—
975#2410—611no—
976C2×#386—611no—
977C2×C61—24no—
978C2×C61—42no—
979C2×C61—42no—
980C2×C61—81no—
981C2×C61—81no—
982C2×C61C2×#53411yescharacteristic
983C2×C61#349611yescharacteristic
984C2×C61#349611yescharacteristic
985C2×C61#353211yescharacteristic
986C2×C61#353311yescharacteristic
987C2×C61#354211yescharacteristic
988C2×C61#354211yescharacteristic
989D61—42no—
990D61—42no—
991D61—81no—
992D61—81no—
993C22×#41—611no—
994C23×D4—611no—
995C23×D4—611no—
996C24×C4C2×D6111yescharacteristic, complemented
997#535—1228no—
998#534—1228no—
999C2×#127—611no—
1000C2×#127—611no—
1001C2×#124—611no—
1002C2×#124—611no—
1003C2×#123—611no—
1004C2×#123—611no—
1005C2×#123—611no—
1006C2×#123—611no—
1007C2×#123—611no—
1008C2×#123—611no—
1009C2×#121—611no—
1010C2×#121—611no—
1011C2×#121—611no—
1012C2×#121—611no—
1013C2×#121—611no—
1014C2×#121—611no—
1015C2×#121—611no—
1016C2×#121—611no—
1017C2×#121—611no—
1018C2×#121—611no—
1019C2×#121—611no—
1020C2×#121—611no—
1021C2×#121—611no—
1022C2×#121C2×D6111yescharacteristic
1023C2×#121C2×D6111yescharacteristic, complemented
1024C2×#121C2×D6111yescharacteristic, complemented
1025C2×#120—611no—
1026C2×#120—611no—
1027C2×#120—611no—
1028C2×#120—611no—
1029C2×#120—611no—
1030C2×#120—611no—
1031C2×#120—611no—
1032C2×#120—611no—
1033C2×#120C2×D6111yescharacteristic
1034C2×#120C2×D6111yescharacteristic, complemented
1035C2×#117—611no—
1036C22×C22⋊C4—611no—
1037C22×C22⋊C4—611no—
1038C22×C22⋊C4—611no—
1039C22×C22⋊C4—611no—
1040#400—611no—
1041#400—611no—
1042#399—611no—
1043#399—611no—
1044#398—611no—
1045#398—611no—
1046#397—611no—
1047#397—611no—
1048#397—611no—
1049#397—611no—
1050#397—611no—
1051#397—611no—
1052#397—611no—
1053#397—611no—
1054#397—611no—
1055#397—611no—
1056#395—611no—
1057#395—611no—
1058#394—611no—
1059#394—611no—
1060#394—611no—
1061#394—611no—
1062#394—611no—
1063#394—611no—
1064#394—611no—
1065#394—611no—
1066#394—611no—
1067#394—611no—
1068#394—611no—
1069#394—611no—
1070#394—611no—
1071#394—611no—
1072#394—611no—
1073#394—611no—
1074#394—611no—
1075#394—611no—
1076#393—611no—
1077#393—611no—
1078#392—611no—
1079#392—611no—
1080#392—611no—
1081#392—611no—
1082#392—611no—
1083#392—611no—
1084#392—611no—
1085#392—611no—
1086#392—611no—
1087#392—611no—
1088#388—611no—
1089#388—611no—
1090#388—611no—
1091#388—611no—
1092#387—611no—
1093#387—611no—
1094#387—611no—
1095#387—611no—
1096#386—611no—
1097#386—611no—
1098#386—611no—
1099#386—611no—
1100#386—611no—
1101#386—611no—
1102#386—611no—
1103#386—611no—
1104#386—611no—
1105#386—611no—
1106#386—611no—
1107#386—611no—
1108#386—611no—
1109#386—611no—
1110#386—611no—
1111#386—611no—
1112#386—611no—
1113#386—611no—
1114#386—611no—
1115#386—611no—
1116#386—611no—
1117#386—611no—
1118#386—611no—
1119#386—611no—
1120#386—611no—
1121#386—611no—
1122#386C2×D6111yescharacteristic
1123#386C2×D6111yescharacteristic, complemented
1124#386C2×D6111yescharacteristic, complemented
1125#386C2×D6111yescharacteristic, complemented
1126#386C2×D6111yescharacteristic, complemented
1127#386C2×D6111yescharacteristic, complemented
1128#385—611no—
1129#385—611no—
1130#385—611no—
1131#385—611no—
1132#385—611no—
1133#385—611no—
1134#385—611no—
1135#385—611no—
1136#381—611no—
1137#381—611no—
1138#380—611no—
1139#380—611no—
1140#380—611no—
1141#380—611no—
1142#380—611no—
1143#380C2×D6111yescharacteristic, complemented
1144#380C2×D6111yescharacteristic, complemented
1145#380C2×D6111yescharacteristic, complemented
1146#379—611no—
1147#379—611no—
1148C2×#95—611no—
1149C2×#95—611no—
1150C61#3673711yescharacteristic, complemented, Sylow
1151C25—611no—
1152C25—611no—
1153C25C22×D6111yescharacteristic
1154C2×#41—1224no—
1155C2×#41—2442no—
1156C2×#41—2442no—
1157C22×Q8—611no—
1158C22×D4—618no—
1159C22×D4—611no—
1160C22×D4—611no—
1161C22×D4—611no—
1162C22×D4—611no—
1163C22×D4—611no—
1164C22×D4—611no—
1165C22×D4—611no—
1166C22×D4—611no—
1167C22×D4—611no—
1168C22×D4—611no—
1169C22×D4—611no—
1170C22×D4—611no—
1171C22×D4—611no—
1172C22×D4—611no—
1173C22×D4—611no—
1174C22×D4—611no—
1175C22×D4—611no—
1176C22×D4—611no—
1177C22×D4—611no—
1178C22×D4—611no—
1179C22×D4—1224no—
1180C22×D4—2442no—
1181C22×D4—2442no—
1182C22×D4—2442no—
1183C22×D4—2442no—
1184C22×D4C22×D6111yescharacteristic
1185C22×D4C22×D6111yescharacteristic
1186C22×D4C22×D6111yescharacteristic
1187C22×D4C22×D6111yescharacteristic
1188C22×D4C22×D6111yescharacteristic
1189C22×D4C22×D6111yescharacteristic
1190C22×D4C22×D6111yescharacteristic
1191C23×C4—42no—
1192C23×C4—42no—
1193C23×C4—42no—
1194C23×C4—611no—
1195C23×C4—611no—
1196C23×C4—611no—
1197C23×C4—611no—
1198C23×C4—611no—
1199C23×C4—611no—
1200C23×C4—611no—
1201C23×C4—611no—
1202C23×C4C22×D6111yescharacteristic
1203C23×C4C22×D6111yescharacteristic
1204C23×C4C22×D6111yescharacteristic
1205C23×C4C22×D6111yescharacteristic
1206C23×C4C22×D6111yescharacteristic
1207C23×C4C22×D6111yescharacteristic
1208#127—1224no—
1209#127—1224no—
1210#124—1224no—
1211#124—1224no—
1212#123—1224no—
1213#123—1224no—
1214#123—1224no—
1215#123—1224no—
1216#123—2442no—
1217#123—2442no—
1218#121—42no—
1219#121—42no—
1220#121—42no—
1221#121—1224no—
1222#121—1224no—
1223#121—1224no—
1224#121—1224no—
1225#121—1224no—
1226#121—1224no—
1227#121—1224no—
1228#121—1224no—
1229#121—2442no—
1230#121—2442no—
1231#121—2442no—
1232#121—2442no—
1233#121—2442no—
1234#120—24no—
1235#120—24no—
1236#120—1224no—
1237#120—1224no—
1238#120—1224no—
1239#120—1224no—
1240#120—1224no—
1241#120—1224no—
1242#120—2442no—
1243#120—2442no—
1244#117—1224no—
1245C2×C4⋊C4—611no—
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—611no—
1250C2×C4⋊C4—611no—
1251C2×C4⋊C4—611no—
1252C2×C4⋊C4—611no—
1253C2×C4⋊C4—611no—
1254C2×C4⋊C4—611no—
1255C2×C4⋊C4—611no—
1256C2×C4⋊C4—611no—
1257C2×C4⋊C4—611no—
1258C2×C4⋊C4—611no—
1259C2×C4⋊C4—611no—
1260C2×C4⋊C4C22×D6111yescharacteristic
1261C2×C4⋊C4C22×D6111yescharacteristic
1262C2×C4⋊C4C22×D6111yescharacteristic
1263C2×C22⋊C4—611no—
1264C2×C22⋊C4—611no—
1265C2×C22⋊C4—611no—
1266C2×C22⋊C4—611no—
1267C2×C22⋊C4—611no—
1268C2×C22⋊C4—611no—
1269C2×C22⋊C4—611no—
1270C2×C22⋊C4—611no—
1271C2×C22⋊C4—611no—
1272C2×C22⋊C4—611no—
1273C2×C22⋊C4—611no—
1274C2×C22⋊C4—611no—
1275C2×C22⋊C4—611no—
1276C2×C22⋊C4—611no—
1277C2×C22⋊C4—611no—
1278C2×C22⋊C4—611no—
1279C2×C22⋊C4—611no—
1280C2×C22⋊C4—611no—
1281C2×C22⋊C4—611no—
1282C2×C22⋊C4—611no—
1283C2×C22⋊C4—611no—
1284C2×C22⋊C4—611no—
1285C2×C22⋊C4—611no—
1286C2×C22⋊C4—611no—
1287C2×C22⋊C4—611no—
1288C2×C22⋊C4—611no—
1289C2×C22⋊C4—611no—
1290C2×C22⋊C4—611no—
1291C2×C22⋊C4—611no—
1292C2×C22⋊C4—611no—
1293C2×C22⋊C4—611no—
1294C2×C22⋊C4—611no—
1295C2×C22⋊C4—611no—
1296C2×C22⋊C4—611no—
1297C2×C22⋊C4—611no—
1298C2×C22⋊C4—611no—
1299C2×C22⋊C4—611no—
1300C2×C22⋊C4—611no—
1301C2×C22⋊C4—611no—
1302C2×C22⋊C4—611no—
1303C2×C22⋊C4—611no—
1304C2×C22⋊C4—611no—
1305C2×C22⋊C4—611no—
1306C2×C22⋊C4—611no—
1307C2×C22⋊C4—611no—
1308C2×C22⋊C4—611no—
1309C2×C22⋊C4—1224no—
1310C2×C22⋊C4—2442no—
1311C2×C22⋊C4—2442no—
1312C2×C22⋊C4—2442no—
1313C2×C22⋊C4C22×D6111yescharacteristic
1314C2×C22⋊C4C22×D6111yescharacteristic
1315C2×C22⋊C4C22×D6111yescharacteristic
1316C2×C22⋊C4C22×D6111yescharacteristic
1317C2×C22⋊C4C22×D6111yescharacteristic
1318C2×C22⋊C4C22×D6111yescharacteristic
1319C2×C22⋊C4C22×D6111yescharacteristic
1320C2×C22⋊C4C22×D6111yescharacteristic
1321C2×C22⋊C4C22×D6111yescharacteristic
1322C2×C22⋊C4C22×D6111yescharacteristic
1323C2×C22⋊C4C22×D6111yescharacteristic
1324C2×C22⋊C4C22×D6111yescharacteristic
1325C2×C42—611no—
1326C2×C42—611no—
1327#95—611no—
1328#95—611no—
1329#95—611no—
1330#95—611no—
1331#95—611no—
1332#95—611no—
1333#95—611no—
1334#95—611no—
1335#95—611no—
1336#95—611no—
1337#95—611no—
1338#95—611no—
1339#95—611no—
1340#95—611no—
1341#95—611no—
1342#95—611no—
1343#95—611no—
1344#95—611no—
1345#95—611no—
1346#95—611no—
1347#95—611no—
1348#95—611no—
1349#95—611no—
1350#95—611no—
1351#95—611no—
1352#95—611no—
1353#95C22×D6111yescharacteristic
1354#95C22×D6111yescharacteristic
1355#95C22×D6111yescharacteristic
1356#95C22×D6111yescharacteristic
1357#95C22×D6111yescharacteristic
1358#95C22×D6111yescharacteristic
1359C24—22no—
1360C24—22no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—611no—
1366C24—611no—
1367C24—614no—
1368C24—611no—
1369C24—611no—
1370C24—1222no—
1371C24—1222no—
1372C24—1222no—
1373C24—2441no—
1374C24—2441no—
1375C24—2441no—
1376C24—2441no—
1377C24—2441no—
1378C24—2441no—
1379C24—2441no—
1380C24—2441no—
1381C24—2441no—
1382C24—2441no—
1383C24D4×D6114yes—
1384C24C23×D6111yescharacteristic
1385C24C23×D6111yescharacteristic
1386C24C23×D6111yescharacteristic
1387C24C23×D6111yescharacteristic
1388C24C23×D6111yescharacteristic
1389#41—24416no—
1390C2×Q8—1222no—
1391C2×Q8—2441no—
1392C2×Q8—2441no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—614no—
1415C2×D4—614no—
1416C2×D4—614no—
1417C2×D4—614no—
1418C2×D4—1222no—
1419C2×D4—1222no—
1420C2×D4—1222no—
1421C2×D4—1222no—
1422C2×D4—1222no—
1423C2×D4—1222no—
1424C2×D4—1222no—
1425C2×D4—1222no—
1426C2×D4—1222no—
1427C2×D4—1222no—
1428C2×D4—1222no—
1429C2×D4—1222no—
1430C2×D4—1222no—
1431C2×D4—1222no—
1432C2×D4—1222no—
1433C2×D4—1222no—
1434C2×D4—1222no—
1435C2×D4—1222no—
1436C2×D4—2441no—
1437C2×D4—2441no—
1438C2×D4—2441no—
1439C2×D4—2441no—
1440C2×D4—2441no—
1441C2×D4—2441no—
1442C2×D4—2441no—
1443C2×D4—2441no—
1444C2×D4—2441no—
1445C2×D4—2441no—
1446C2×D4—2441no—
1447C2×D4—2441no—
1448C2×D4—2441no—
1449C2×D4—2441no—
1450C2×D4—2441no—
1451C2×D4—2441no—
1452C2×D4—2441no—
1453C2×D4—2441no—
1454C2×D4—2441no—
1455C2×D4—2441no—
1456C2×D4—2441no—
1457C2×D4—2441no—
1458C2×D4—2441no—
1459C2×D4—2441no—
1460C2×D4—2441no—
1461C2×D4—2441no—
1462C2×D4—24416no—
1463C2×D4—2441no—
1464C2×D4—2441no—
1465C2×D4—2441no—
1466C2×D4—2441no—
1467C2×D4—2441no—
1468C2×D4—2441no—
1469C2×D4—2441no—
1470C2×D4—2441no—
1471C2×D4—2441no—
1472C2×D4—2441no—
1473C2×D4—2441no—
1474C2×D4—2441no—
1475C2×D4—24416no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—41no—
1485C22×C4—41no—
1486C22×C4—41no—
1487C22×C4—41no—
1488C22×C4—41no—
1489C22×C4—41no—
1490C22×C4—41no—
1491C22×C4—41no—
1492C22×C4—41no—
1493C22×C4—41no—
1494C22×C4—416no—
1495C22×C4—614no—
1496C22×C4—611no—
1497C22×C4—611no—
1498C22×C4—611no—
1499C22×C4—611no—
1500C22×C4—611no—
1501C22×C4—611no—
1502C22×C4—611no—
1503C22×C4—611no—
1504C22×C4—611no—
1505C22×C4—611no—
1506C22×C4—611no—
1507C22×C4—611no—
1508C22×C4—1222no—
1509C22×C4—1222no—
1510C22×C4—1222no—
1511C22×C4—1222no—
1512C22×C4—1222no—
1513C22×C4—1222no—
1514C22×C4—1222no—
1515C22×C4—1222no—
1516C22×C4—1222no—
1517C22×C4—2441no—
1518C22×C4—2441no—
1519C22×C4—2441no—
1520C22×C4—2441no—
1521C22×C4—2441no—
1522C22×C4—2441no—
1523C22×C4—2441no—
1524C22×C4—2441no—
1525C22×C4—2441no—
1526C22×C4—2441no—
1527C22×C4—2441no—
1528C22×C4—2441no—
1529C22×C4—2441no—
1530C22×C4—2441no—
1531C22×C4C23×D6111yescharacteristic
1532C22×C4C23×D6111yescharacteristic
1533C22×C4C23×D6111yescharacteristic
1534C22×C4C23×D6111yescharacteristic
1535C22×C4C23×D6111yescharacteristic
1536C22×C4C23×D6111yescharacteristic
1537C22×C4C23×D6111yescharacteristic
1538C22×C4C23×D6111yescharacteristic
1539C22×C4C23×D6111yescharacteristic
1540C22×C4C23×D6111yescharacteristic
1541C4⋊C4—22no—
1542C4⋊C4—41no—
1543C4⋊C4—41no—
1544C4⋊C4—1222no—
1545C4⋊C4—1222no—
1546C4⋊C4—1222no—
1547C4⋊C4—1222no—
1548C4⋊C4—1222no—
1549C4⋊C4—1222no—
1550C4⋊C4—1222no—
1551C4⋊C4—2441no—
1552C4⋊C4—2441no—
1553C4⋊C4—2441no—
1554C4⋊C4—2441no—
1555C4⋊C4—2441no—
1556C4⋊C4—2441no—
1557C4⋊C4—2441no—
1558C4⋊C4—2441no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—22no—
1566C22⋊C4—22no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—1222no—
1572C22⋊C4—1222no—
1573C22⋊C4—1222no—
1574C22⋊C4—1222no—
1575C22⋊C4—1222no—
1576C22⋊C4—1222no—
1577C22⋊C4—1222no—
1578C22⋊C4—1222no—
1579C22⋊C4—1222no—
1580C22⋊C4—1222no—
1581C22⋊C4—1222no—
1582C22⋊C4—1222no—
1583C22⋊C4—1222no—
1584C22⋊C4—1222no—
1585C22⋊C4—1222no—
1586C22⋊C4—1222no—
1587C22⋊C4—1222no—
1588C22⋊C4—1222no—
1589C22⋊C4—1222no—
1590C22⋊C4—1222no—
1591C22⋊C4—1222no—
1592C22⋊C4—1222no—
1593C22⋊C4—2441no—
1594C22⋊C4—2441no—
1595C22⋊C4—2441no—
1596C22⋊C4—2441no—
1597C22⋊C4—2441no—
1598C22⋊C4—2441no—
1599C22⋊C4—2441no—
1600C22⋊C4—2441no—
1601C22⋊C4—2441no—
1602C22⋊C4—2441no—
1603C22⋊C4—2441no—
1604C22⋊C4—2441no—
1605C22⋊C4—2441no—
1606C22⋊C4—2441no—
1607C22⋊C4—2441no—
1608C22⋊C4—2441no—
1609C22⋊C4—2441no—
1610C22⋊C4—2441no—
1611C22⋊C4—2441no—
1612C22⋊C4—2441no—
1613C22⋊C4—2441no—
1614C22⋊C4—2441no—
1615C22⋊C4—2441no—
1616C22⋊C4—2441no—
1617C42—1222no—
1618C42—1222no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—28no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—44no—
1651C23—44no—
1652C23—44no—
1653C23—44no—
1654C23—44no—
1655C23—44no—
1656C23—612no—
1657C23—612no—
1658C23—1228no—
1659C23—1221no—
1660C23—1221no—
1661C23—1221no—
1662C23—1221no—
1663C23—1221no—
1664C23—1221no—
1665C23—1221no—
1666C23—1221no—
1667C23—1221no—
1668C23—1221no—
1669C23—1221no—
1670C23—1221no—
1671C23—1221no—
1672C23—1221no—
1673C23—1221no—
1674C23—1221no—
1675C23—1221no—
1676C23—1221no—
1677C23—1221no—
1678C23—1221no—
1679C23—1221no—
1680C23—1221no—
1681C23—1221no—
1682C23—1221no—
1683C23—1221no—
1684C23—1221no—
1685C23—4882no—
1686C23—4882no—
1687C23—4882no—
1688C23—4882no—
1689C23—4882no—
1690C23—4882no—
1691C23—4882no—
1692C23—4882no—
1693C23—4882no—
1694C23—4882no—
1695C23—2444no—
1696C23—2444no—
1697C23—2444no—
1698C23C2×D4×D6112yes—
1699C23C2×D4×D6112yes—
1700C23C2×D4×D6112yes—
1701C23#1451982212yes—
1702C23#1451982312yes—
1703C23C24×D6111yescharacteristic
1704Q8—2444no—
1705D4—44no—
1706D4—44no—
1707D4—82no—
1708D4—82no—
1709D4—82no—
1710D4—82no—
1711D4—82no—
1712D4—4882no—
1713D4—4882no—
1714D4—4882no—
1715D4—4882no—
1716D4—4882no—
1717D4—4882no—
1718D4—4882no—
1719D4—4882no—
1720D4—4882no—
1721D4—4882no—
1722D4—4882no—
1723D4—2444no—
1724D4—2444no—
1725D4—2444no—
1726D4—2444no—
1727D4—2444no—
1728D4—2444no—
1729D4—2444no—
1730D4—2444no—
1731D4—2444no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—612no—
1767C2×C4—612no—
1768C2×C4—1228no—
1769C2×C4—1221no—
1770C2×C4—1221no—
1771C2×C4—1221no—
1772C2×C4—1221no—
1773C2×C4—1221no—
1774C2×C4—1221no—
1775C2×C4—1221no—
1776C2×C4—1221no—
1777C2×C4—1221no—
1778C2×C4—1221no—
1779C2×C4—1221no—
1780C2×C4—1221no—
1781C2×C4—1221no—
1782C2×C4—1221no—
1783C2×C4—1221no—
1784C2×C4—1221no—
1785C2×C4—1221no—
1786C2×C4—1221no—
1787C2×C4—1221no—
1788C2×C4—1221no—
1789C2×C4—1221no—
1790C2×C4—1221no—
1791C2×C4—1221no—
1792C2×C4—1221no—
1793C2×C4—1221no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—1221no—
1797C2×C4—1221no—
1798C2×C4—1221no—
1799C2×C4—1221no—
1800C2×C4—1221no—
1801C2×C4—1221no—
1802C2×C4—1221no—
1803C2×C4—4882no—
1804C2×C4—4882no—
1805C2×C4—4882no—
1806C2×C4—4882no—
1807C2×C4—2444no—
1808C2×C4—2444no—
1809C2×C4—2444no—
1810C2×C4#1451982212yes—
1811C2×C4#1451982212yes—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—416no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—1222no—
1848C22—1222no—
1849C22—1222no—
1850C22—1222no—
1851C22—1222no—
1852C22—1222no—
1853C22—4888no—
1854C22—4888no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22—2441no—
1862C22—2441no—
1863C22—2441no—
1864C22—2441no—
1865C22—2441no—
1866C22—2441no—
1867C22—2441no—
1868C22—2441no—
1869C22—2441no—
1870C22—2441no—
1871C22—2441no—
1872C22—2441no—
1873C22—2441no—
1874C22—2441no—
1875C22—2441no—
1876C22—2441no—
1877C22#1684032014yes—
1878C22C22×D4×D6111yescharacteristic
1879C22C2×#1451982211yescharacteristic
1880C22C2×#1451982211yescharacteristic
1881C22C2×#1451982211yescharacteristic
1882C22C2×#1451982311yescharacteristic
1883C22#1684059811yescharacteristic
1884C22#1684059811yescharacteristic
1885C4—22no—
1886C4—22no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—1222no—
1896C4—1222no—
1897C4—2441no—
1898C4—2441no—
1899C4—2441no—
1900C4—2441no—
1901C4—2441no—
1902C4—2441no—
1903C4—2441no—
1904C4—2441no—
1905C4—2441no—
1906C4—2441no—
1907C2—24no—
1908C2—42no—
1909C2—42no—
1910C2—81no—
1911C2—81no—
1912C2—4881no—
1913C2—4881no—
1914C2—2442no—
1915C2—2442no—
1916C2C2×#1684032011yescharacteristic
1917C2#2145957611yescharacteristic
1918C2#2145957611yescharacteristic
1919C2#2145997411yescharacteristic
1920C2#2145998311yescharacteristic
1921C2#2146012711yescharacteristic
1922C2#2146013511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2847C2
hypercenter#2847D61
hypocenterC61#36737
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C2×#16840327C2semidirect
2. C2×#16840322C2semidirect
3. #21454101C2semidirect
4. #21452655C2semidirect
5. #21452547C2semidirect
6. #21452534C2semidirect
7. #21452532C2semidirect
8. #21452252C2semidirect
9. #21452250C2semidirect
10. #21452222C2semidirect
11. #21452220C2semidirect
12. #21452196C2semidirect
13. #21452082C2semidirect
14. #21452080C2semidirect
15. #21452052C2semidirect
16. #21452050C2semidirect
17. #21452031C2semidirect
18. #21452024C2semidirect
19. #21452022C2semidirect
20. #21451557C2semidirect
21. #21451557C2semidirect
22. #21450261C2semidirect
23. #21450259C2semidirect
24. #21449427C2semidirect
25. #21449425C2semidirect
26. #21449214C2semidirect
27. #21449212C2semidirect
28. #21449192C2semidirect
29. #21449190C2semidirect
30. C2×#16839641C2semidirect
31. C61×#2847C2semidirect
32. C22×#11758224C22semidirect
38. C2×#14519773C22semidirect
40. C2×#14519763C22semidirect
41. C2×#14519762C22semidirect
45. C2×#14519759C22semidirect
48. C2×#14519751C22semidirect
49. C2×#14519751C22semidirect
53. C2×#14519750C22semidirect
57. C2×#14519749C22semidirect
61. C2×#14519747C22semidirect
63. C2×#14519746C22semidirect
67. C2×#14519745C22semidirect
68. C2×#14519733C22semidirect
69. C22×C22⋊Dic61C22semidirect
73. #16839704C22semidirect
74. #16839703C22semidirect
75. #16839698C22semidirect
76. #16839697C22semidirect
77. #16839696C22semidirect
78. #16839695C22semidirect
79. #16839691C22semidirect
80. #16839691C22semidirect
81. #16839691C22semidirect
82. #16839690C22semidirect
83. #16839690C22semidirect
84. #16839690C22semidirect
85. #16839690C22semidirect
86. #16839690C22semidirect
87. #16839689C22semidirect
88. #16839688C22semidirect
89. #16839683C22semidirect
90. #16839682C22semidirect
91. #16839680C22semidirect
92. #16839680C22semidirect
93. #16839679C22semidirect
94. #16839679C22semidirect
95. #16839678C22semidirect
96. #16839678C22semidirect
97. #16839678C22semidirect
98. #16839677C22semidirect
99. #16839677C22semidirect
100. #16839677C22semidirect
101. #16839677C22semidirect
102. #16839677C22semidirect
103. #16839677C22semidirect
104. #16839677C22semidirect
105. #16839676C22semidirect
106. #16839676C22semidirect
107. #16839676C22semidirect
108. #16839676C22semidirect
109. #16839675C22semidirect
110. #16839674C22semidirect
111. #16839672C22semidirect
112. #16839671C22semidirect
113. #16839671C22semidirect
114. #16839671C22semidirect
115. #16839670C22semidirect
116. #16839670C22semidirect
117. #16839670C22semidirect
118. #16839670C22semidirect
119. #16839670C22semidirect
120. #16839670C22semidirect
121. #16839656C22semidirect
122. #16839655C22semidirect
123. #16839652C22semidirect
124. #16839651C22semidirect
125. #16839649C22semidirect
126. #16839648C22semidirect
127. #16839645C22semidirect
128. #16839644C22semidirect
130. #16839642C22semidirect
131. #16839642C22semidirect
137. #16839641C22semidirect
138. #16839641C22semidirect
139. #16839641C22semidirect
140. #16839641C22semidirect
141. #16839641C22semidirect
142. #16839641C22semidirect
143. #16839641C22semidirect
144. #16839641C22semidirect
145. #16839641C22semidirect
146. #16839640C22semidirect
147. #16839640C22semidirect
148. #16839640C22semidirect
150. #16839639C22semidirect
151. #16839639C22semidirect
152. #16839638C22semidirect
153. #16839638C22semidirect
154. #16839638C22semidirect
155. #16839637C22semidirect
156. #16839636C22semidirect
157. #16839636C22semidirect
158. #16839636C22semidirect
159. #16839634C22semidirect
160. #16839633C22semidirect
161. #16839633C22semidirect
162. #16839633C22semidirect
163. #16839624C22semidirect
164. #16839624C22semidirect
165. #16839622C22semidirect
166. #16839622C22semidirect
167. #16839622C22semidirect
168. #16839620C22semidirect
169. #16839620C22semidirect
170. #16839617C22semidirect
171. #16839617C22semidirect
172. C2×#14519684C22semidirect
173. C2×#14519684C22semidirect
174. C24×C4×C61C22semidirect
176. C2×#121×C61C22semidirect
177. C2×#121×C61C22semidirect
179. C2×#120×C61C22semidirect
181. C61×#386C22semidirect
182. C61×#386C22semidirect
183. C61×#386C22semidirect
184. C61×#386C22semidirect
185. C61×#386C22semidirect
186. C61×#380C22semidirect
187. C61×#380C22semidirect
188. C61×#380C22semidirect
201. C22×C22⋊D61D4semidirect
949. #2847D61semidirect
996. C24×C4C2×D61semidirect
1023. C2×#121C2×D61semidirect
1024. C2×#121C2×D61semidirect
1034. C2×#120C2×D61semidirect
1123. #386C2×D61semidirect
1124. #386C2×D61semidirect
1125. #386C2×D61semidirect
1126. #386C2×D61semidirect
1127. #386C2×D61semidirect
1143. #380C2×D61semidirect
1144. #380C2×D61semidirect
1145. #380C2×D61semidirect
1150. C61#36737semidirect

Maximal subgroups

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

subgroupindex
C2×#168403272
C2×#168403222
#214541012
#214526552
#214525472
#214525342
#214525322
#214522522
#214522502
#214522222
#214522202
#214521962
#214520822
#214520802
#214520522
#214520502
#214520312
#214520242
#214520222
#214515572
#214502612
#214502592
#214494272
#214494252
#214492142
#214492122
#214491922
#214491902
C2×#168396412
C61×#28472
#3673761