Finite Group Databasebeta

← #29886903

Subgroups — #29886903

Order 15616.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840271C211yesmaximal, characteristic, complemented
2#21454108C211yesmaximal, characteristic, complemented
3#21454098C211yesmaximal, characteristic, complemented
4#21452333C211yesmaximal, characteristic, complemented
5#21452324C211yesmaximal, characteristic, complemented
6#21452279C211yesmaximal, characteristic, complemented
7#21452249C211yesmaximal, characteristic, complemented
8#21452234C211yesmaximal, characteristic, complemented
9#21452138C211yesmaximal, characteristic, complemented
10#21452114C211yesmaximal, characteristic, complemented
11#21452109C211yesmaximal, characteristic, complemented
12#21452080C211yesmaximal, characteristic, complemented
13#21452079C211yesmaximal, characteristic, complemented
14#21452064C211yesmaximal, characteristic, complemented
15#21452055C211yesmaximal, characteristic, complemented
16#21452050C211yesmaximal, characteristic, complemented
17#21452032C211yesmaximal, characteristic, complemented
18#21452031C211yesmaximal, characteristic, complemented
19#21452022C211yesmaximal, characteristic, complemented
20#21451704C211yesmaximal, characteristic, complemented
21#21451658C211yesmaximal, characteristic, complemented
22#21451491C211yesmaximal, characteristic, complemented
23#21451433C211yesmaximal, characteristic, complemented
24#21451385C211yesmaximal, characteristic, complemented
25#21451379C211yesmaximal, characteristic, complemented
26#21450781C211yesmaximal, characteristic, complemented
27#21450720C211yesmaximal, characteristic, complemented
28#21449439C211yesmaximal, characteristic, complemented
29#21449431C211yesmaximal, characteristic, complemented
30#21448452C211yesmaximal, characteristic, complemented
31C2×C61×#540C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C2×#14519773C2211yescharacteristic
35C2×#14519764C2211yescharacteristic, complemented
36#16840271—28no—
37C2×#14519762C2211yescharacteristic
38C2×#14519759C2211yescharacteristic
39C2×#14519758C2211yescharacteristic
40C2×#14519755C2211yescharacteristic
41C2×#14519754C2211yescharacteristic
42C2×#14519751C2211yescharacteristic
43C2×#14519751C2211yescharacteristic
44C2×#14519750C2211yescharacteristic
45C2×#14519749C2211yescharacteristic
46C2×#14519749C2211yescharacteristic
47C2×#14519749C2211yescharacteristic
48C2×#14519749C2211yescharacteristic
49C2×#14519749C2211yescharacteristic, complemented
50C2×#14519748C2211yescharacteristic
51C2×#14519748C2211yescharacteristic
52C2×#14519747C2211yescharacteristic
53C2×#14519745C2211yescharacteristic
54C2×#14519745C2211yescharacteristic
55C2×#14519745C2211yescharacteristic
56C2×#14519745C2211yescharacteristic
57C2×C4×D244C2211yescharacteristic
58C2×C4×C22⋊D61C2211yescharacteristic
59C2×C4×C22⋊D61C2211yescharacteristic
60C2×#14519734C2211yescharacteristic
61#16839701C2211yescharacteristic, complemented
62#16839700C2211yescharacteristic, complemented
63#16839700C2211yescharacteristic, complemented
64#16839698C2211yescharacteristic, complemented
65#16839697C2211yescharacteristic
66#16839697C2211yescharacteristic, complemented
67#16839695C2211yescharacteristic, complemented
68#16839695C2211yescharacteristic, complemented
69#16839693C2211yescharacteristic, complemented
70#16839690C2211yescharacteristic
71#16839690C2211yescharacteristic, complemented
72#16839688C2211yescharacteristic
73#16839688C2211yescharacteristic
74#16839688C2211yescharacteristic, complemented
75#16839685C2211yescharacteristic, complemented
76#16839685C2211yescharacteristic, complemented
77#16839684C2211yescharacteristic
78#16839684C2211yescharacteristic, complemented
79#16839682C2211yescharacteristic, complemented
80#16839679C2211yescharacteristic
81#16839679C2211yescharacteristic
82#16839678C2211yescharacteristic
83#16839678C2211yescharacteristic, complemented
84#16839677C2211yescharacteristic
85#16839677C2211yescharacteristic
86#16839676C2211yescharacteristic
87#16839676C2211yescharacteristic
88#16839676C2211yescharacteristic
89#16839676C2211yescharacteristic, complemented
90#16839676C2211yescharacteristic, complemented
91#16839676C2211yescharacteristic, complemented
92#16839676C2211yescharacteristic, complemented
93#16839674C2211yescharacteristic, complemented
94#16839671C2211yescharacteristic
95#16839671C2211yescharacteristic
96#16839670C2211yescharacteristic
97#16839670C2211yescharacteristic
98#16839670C2211yescharacteristic
99#16839670C2211yescharacteristic
100#16839670C2211yescharacteristic
101#16839670C2211yescharacteristic
102#16839670C2211yescharacteristic
103#16839670C2211yescharacteristic
104#16839670C2211yescharacteristic
105#16839670C2211yescharacteristic, complemented
106#16839670C2211yescharacteristic, complemented
107#16839670C2211yescharacteristic, complemented
108#16839670C2211yescharacteristic, complemented
109#16839667C2211yescharacteristic, complemented
110#16839663C2211yescharacteristic
111#16839662C2211yescharacteristic
112#16839657C2211yescharacteristic, complemented
113#16839656C2211yescharacteristic, complemented
114#16839655C2211yescharacteristic
115#16839655C2211yescharacteristic
116#16839653C2211yescharacteristic
117#16839653C2211yescharacteristic
118#16839653C2211yescharacteristic, complemented
119#16839652C2211yescharacteristic
120#16839650C2211yescharacteristic, complemented
121#16839650C2211yescharacteristic, complemented
122#16839650C2211yescharacteristic, complemented
123#16839648C2211yescharacteristic, complemented
124#16839648C2211yescharacteristic, complemented
125#16839646C2211yescharacteristic, complemented
126#16839643C2211yescharacteristic, complemented
127#16839642C2211yescharacteristic
128#16839642C2211yescharacteristic
129#16839642C2211yescharacteristic
130#16839642C2211yescharacteristic
131#16839642C2211yescharacteristic, complemented
132#16839642C2211yescharacteristic, complemented
133#16839641C2211yescharacteristic
134#16839641C2211yescharacteristic
135#16839641C2211yescharacteristic
136#16839641C2211yescharacteristic
137#16839641C2211yescharacteristic, complemented
138#16839639C2211yescharacteristic
139#16839639C2211yescharacteristic, complemented
140#16839638C2211yescharacteristic
141#16839638C2211yescharacteristic
142#16839638C2211yescharacteristic
143#16839638C2211yescharacteristic
144#16839638C2211yescharacteristic
145#16839638C2211yescharacteristic
146#16839638C2211yescharacteristic
147#16839638C2211yescharacteristic
148#16839638C2211yescharacteristic, complemented
149#16839638C2211yescharacteristic, complemented
150#16839638C2211yescharacteristic, complemented
151#16839637C2211yescharacteristic, complemented
152#16839637C2211yescharacteristic, complemented
153#16839635C2211yescharacteristic, complemented
154#16839635C2211yescharacteristic, complemented
155#16839635C2211yescharacteristic, complemented
156#16839633C2211yescharacteristic
157#16839633C2211yescharacteristic
158#16839633C2211yescharacteristic
159#16839633C2211yescharacteristic
160#16839633C2211yescharacteristic, complemented
161#16839630C2211yescharacteristic, complemented
162#16839628C2211yescharacteristic, complemented
163#16839625C2211yescharacteristic
164#16839623C2211yescharacteristic
165#16839622C2211yescharacteristic
166#16839622C2211yescharacteristic, complemented
167#16839622C2211yescharacteristic, complemented
168#16839619C2211yescharacteristic
169#16839619C2211yescharacteristic
170#16839617C2211yescharacteristic
171C4×C22⋊Dic61C2211yescharacteristic, complemented
172C2×#14519684C2211yescharacteristic, complemented
173C61×#540—28no—
174C2×#127×C61C2211yescharacteristic
175C2×#125×C61C2211yescharacteristic, complemented
176C2×#123×C61C2211yescharacteristic
177C2×#123×C61C2211yescharacteristic
178C2×#123×C61C2211yescharacteristic, complemented
179C2×#123×C61C2211yescharacteristic, complemented
180C2×#121×C61C2211yescharacteristic
181C2×#121×C61C2211yescharacteristic
182C2×#121×C61C2211yescharacteristic
183C2×#121×C61C2211yescharacteristic, complemented
184C2×#121×C61C2211yescharacteristic, complemented
185C2×#121×C61C2211yescharacteristic, complemented
186C2×C4×D4×C61C2211yescharacteristic
187C2×C4×D4×C61C2211yescharacteristic, complemented
188C2×#117×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C2×#11758222—24no—
191C2×#11758222—42no—
192C2×#11758222—42no—
193C22×Dic122C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C22×C4×D61—24no—
213C22×C4×D61—42no—
214C22×C4×D61—42no—
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220#14519773—42no—
221#14519764—42no—
222#14519762—24no—
223#14519759—24no—
224#14519758—42no—
225#14519755—24no—
226#14519754—24no—
227#14519751—42no—
228#14519751—42no—
229#14519750—24no—
230#14519749—24no—
231#14519749—42no—
232#14519749—42no—
233#14519749—42no—
234#14519749—42no—
235#14519748—42no—
236#14519748—42no—
237#14519747—24no—
238#14519745—24no—
239#14519745—42no—
240#14519745—42no—
241#14519745—42no—
242C4×D244—24no—
243C4×C22⋊D61—24no—
244C4×C22⋊D61—24no—
245#14519734—24no—
246C2×C4⋊Dic61C2311yescharacteristic
247C2×C4⋊Dic61C2311yescharacteristic
248C2×C4⋊Dic61C2311yescharacteristic
249C2×C4⋊Dic61C2311yescharacteristic
250C2×C4⋊Dic61C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
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×#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×C4×Dic61C2311yescharacteristic
307C2×C4×Dic61C2311yescharacteristic
308C2×C4×Dic61C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C22×D4×C61C2311yescharacteristic
343C22×D4×C61C2311yescharacteristic
344C22×D4×C61C2311yescharacteristic
345C22×D4×C61C2311yescharacteristic
346C22×D4×C61C2311yescharacteristic
347C22×D4×C61C2311yescharacteristic
348C22×D4×C61C2311yescharacteristic
349C22×D4×C61C2311yescharacteristic
350C22×D4×C61C2311yescharacteristic
351C23×C4×C61C2311yescharacteristic
352C23×C4×C61C2311yescharacteristic
353C23×C4×C61C2311yescharacteristic
354C23×C4×C61C2311yescharacteristic
355C23×C4×C61C2311yescharacteristic
356#127×C61—24no—
357#125×C61—24no—
358#123×C61—24no—
359#123×C61—24no—
360#123×C61—24no—
361#123×C61—24no—
362#121×C61—24no—
363#121×C61—24no—
364#121×C61—24no—
365#121×C61—24no—
366#121×C61—24no—
367#121×C61—24no—
368C4×D4×C61—24no—
369C4×D4×C61D418yescomplemented
370#117×C61—24no—
371C2×C4⋊C4×C61C2311yescharacteristic
372C2×C4⋊C4×C61C2311yescharacteristic
373C2×C4⋊C4×C61C2311yescharacteristic
374C2×C4⋊C4×C61C2311yescharacteristic
375C2×C4⋊C4×C61C2311yescharacteristic
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×C42×C61C2311yescharacteristic
390C2×C42×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C24×C61C2411yescharacteristic
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—22no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61—41no—
402C23×D61—41no—
403C23×D61C2411yescharacteristic
404C23×D61C2411yescharacteristic
405C23×D61C2411yescharacteristic
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—22no—
411C2×D4×C61—22no—
412C2×D4×C61—22no—
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—41no—
416C2×D4×C61—41no—
417C2×D4×C61—41no—
418C2×D4×C61—41no—
419C2×D4×C61—41no—
420C2×D4×C61—41no—
421C2×D4×C61—41no—
422C2×D4×C61—41no—
423C2×D4×C61—41no—
424C2×D4×C61—41no—
425C2×D4×C61—41no—
426C2×D4×C61—41no—
427C2×D4×C61—41no—
428C2×D4×C61—41no—
429C2×D4×C61—41no—
430C2×D4×C61—41no—
431C2×D4×C61—41no—
432C2×D4×C61—41no—
433C2×D4×C61—41no—
434C2×D4×C61—41no—
435C2×D4×C61C2×D414yes—
436C22×C4×C61—22no—
437C22×C4×C61—22no—
438C22×C4×C61—22no—
439C22×C4×C61—41no—
440C22×C4×C61—41no—
441C22×C4×C61—41no—
442C22×C4×C61—41no—
443C22×C4×C61—41no—
444C22×C4×C61—41no—
445C22×C4×C61—41no—
446C22×C4×C61—41no—
447C22×C4×C61—41no—
448C22×C4×C61—41no—
449C22×C4×C61C2×D414yes—
450C22×C4×C61C2×D414yes—
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2411yescharacteristic
456C22×C4×C61C2411yescharacteristic
457C22×C4×C61C2411yescharacteristic
458C22×C4×C61C2411yescharacteristic
459C22×C4×C61C2411yescharacteristic
460C22×C4×C61C2411yescharacteristic
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—22no—
465C2×C22⋊D61—22no—
466C2×C22⋊D61—22no—
467C2×C22⋊D61—22no—
468C2×C22⋊D61—22no—
469C2×C22⋊D61—22no—
470C2×C22⋊D61—22no—
471C2×C22⋊D61—22no—
472C2×C22⋊D61—22no—
473C2×C22⋊D61—22no—
474C2×C22⋊D61—41no—
475C2×C22⋊D61—41no—
476C2×C22⋊D61—41no—
477C2×C22⋊D61—41no—
478C2×C22⋊D61—41no—
479C2×C22⋊D61—41no—
480C2×C22⋊D61—41no—
481C2×C22⋊D61—41no—
482C2×C22⋊D61—41no—
483C2×C22⋊D61—41no—
484C2×C22⋊D61—41no—
485C2×C22⋊D61—41no—
486C2×C22⋊D61—41no—
487C2×C22⋊D61—41no—
488C2×C22⋊D61—41no—
489C2×C22⋊D61—41no—
490C2×C22⋊D61—41no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61—41no—
494C2×C22⋊D61—41no—
495C2×C22⋊D61—41no—
496C2×C22⋊D61—41no—
497C2×C22⋊D61—41no—
498C2×C22⋊D61—41no—
499C2×C22⋊D61—41no—
500C22×Dic61—22no—
501C22×Dic61—22no—
502C22×Dic61—41no—
503C22×Dic61—41no—
504C22×Dic61—41no—
505C22×Dic61—41no—
506C22×Dic61—41no—
507C22×Dic61—41no—
508C22×Dic61—41no—
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C22×Dic61C2411yescharacteristic
516C22×Dic61C2411yescharacteristic
517C22×Dic61C2411yescharacteristic
518C22×Dic61C2411yescharacteristic
519C22×Dic61C2411yescharacteristic
520C22×Dic61C2411yescharacteristic
521C22×Dic61C2411yescharacteristic
522#11758222—416no—
523C2×D244—22no—
524C2×D244—22no—
525C2×D244—22no—
526C2×D244—22no—
527C2×D244—41no—
528C2×D244—41no—
529C2×C4×D61—22no—
530C2×C4×D61—22no—
531C2×C4×D61—22no—
532C2×C4×D61—22no—
533C2×C4×D61—22no—
534C2×C4×D61—22no—
535C2×C4×D61—22no—
536C2×C4×D61—22no—
537C2×C4×D61—22no—
538C2×C4×D61—416no—
539C2×C4×D61—41no—
540C2×C4×D61—41no—
541C2×C4×D61—41no—
542C2×C4×D61—41no—
543C2×C4×D61—41no—
544C2×C4×D61—41no—
545C2×Dic122—22no—
546C2×Dic122—22no—
547C2×Dic122—41no—
548C4⋊C4×C61—22no—
549C4⋊C4×C61—22no—
550C4⋊C4×C61—22no—
551C4⋊C4×C61—22no—
552C4⋊C4×C61—22no—
553C4⋊C4×C61—22no—
554C4⋊C4×C61—22no—
555C4⋊C4×C61C2×D414yes—
556C22⋊C4×C61—22no—
557C22⋊C4×C61—22no—
558C22⋊C4×C61—22no—
559C22⋊C4×C61—22no—
560C22⋊C4×C61—22no—
561C22⋊C4×C61—22no—
562C22⋊C4×C61—22no—
563C22⋊C4×C61—22no—
564C22⋊C4×C61C2×D414yes—
565C22⋊C4×C61C2×D414yes—
566C42×C61—22no—
567C42×C61C2×D414yes—
568C22⋊Dic61—22no—
569C22⋊Dic61—22no—
570C22⋊Dic61—22no—
571C22⋊Dic61—22no—
572C22⋊Dic61—22no—
573C22⋊Dic61—41no—
574C22⋊Dic61—41no—
575C22⋊Dic61—41no—
576C22⋊Dic61—41no—
577C22⋊Dic61—41no—
578C22⋊Dic61—41no—
579C22⋊Dic61—41no—
580C22⋊Dic61—41no—
581C22⋊Dic61—41no—
582C22⋊Dic61—41no—
583C22⋊Dic61—41no—
584C22⋊Dic61—41no—
585C22⋊Dic61—41no—
586C22⋊Dic61—41no—
587C22⋊Dic61—41no—
588C22⋊Dic61—41no—
589C22⋊Dic61—41no—
590C22⋊Dic61—41no—
591#11758198—22no—
592#11758198—22no—
593#11758198—22no—
594#11758198—22no—
595#11758198—22no—
596#11758198—22no—
597#11758198—22no—
598#11758198—22no—
599#11758198—22no—
600#11758198—22no—
601#11758198—41no—
602#11758198—41no—
603#11758198—41no—
604#11758198—41no—
605#11758198—41no—
606#11758198—41no—
607#11758198—41no—
608#11758198—41no—
609#11758198—41no—
610#11758198—41no—
611#11758198—41no—
612C4⋊Dic61—22no—
613C4⋊Dic61—41no—
614C4⋊Dic61—41no—
615C4⋊Dic61—41no—
616C4⋊Dic61—41no—
617#11758196—22no—
618#11758196—22no—
619#11758196—22no—
620#11758196—22no—
621#11758196—22no—
622#11758196—41no—
623#11758196—41no—
624#11758196—41no—
625#11758196—41no—
626#11758196—41no—
627#11758196—41no—
628C4×Dic61—22no—
629C4×Dic61—41no—
630C4×Dic61—41no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
647C23×C61—21no—
648C23×C61—21no—
649C23×C61—21no—
650C23×C61—21no—
651C23×C61—21no—
652C23×C61—21no—
653C23×C61—21no—
654C23×C61—21no—
655C23×C61—21no—
656C23×C61—21no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61C22×D412yes—
665C23×C61C22×D412yes—
666C23×C61C2511yescharacteristic
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—21no—
671C22×D61—21no—
672C22×D61—21no—
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—44no—
687C22×D61—44no—
688C22×D61—44no—
689C22×D61—44no—
690C22×D61—44no—
691C22×D61—44no—
692C22×D61—44no—
693C22×D61H(5,𝔽2)12yes—
694C22×D61H(5,𝔽2)12yes—
695D4×C61—44no—
696D4×C61—44no—
697D4×C61—82no—
698D4×C61—82no—
699D4×C61—82no—
700D4×C61—82no—
701D4×C61—82no—
702D4×C61—82no—
703D4×C61—82no—
704D4×C61—82no—
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—44no—
731C2×C4×C61—44no—
732C2×C4×C61—44no—
733C2×C4×C61—82no—
734C2×C4×C61—82no—
735C2×C4×C61C22×D412yes—
736C2×C4×C61C22×D412yes—
737C2×C4×C61C22×D412yes—
738C2×C4×C61C22×D412yes—
739C2×C4×C61C22×D412yes—
740C22⋊D61—44no—
741C22⋊D61—44no—
742C22⋊D61—44no—
743C22⋊D61—44no—
744C22⋊D61—82no—
745C22⋊D61—82no—
746C22⋊D61—82no—
747C22⋊D61—82no—
748C22⋊D61—82no—
749C22⋊D61—82no—
750C22⋊D61—82no—
751C22⋊D61—82no—
752C22⋊D61—82no—
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—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—44no—
792C2×Dic61—82no—
793C2×Dic61—82no—
794C2×Dic61H(5,𝔽2)12yes—
795D244—44no—
796D244—44no—
797C4×D61—28no—
798C4×D61—44no—
799C4×D61—44no—
800C4×D61—44no—
801C4×D61—44no—
802Dic122—44no—
803#36713—611nomaximal, Sylow
804C22×C61—22no—
805C22×C61—22no—
806C22×C61—22no—
807C22×C61—22no—
808C22×C61—22no—
809C22×C61—22no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61C23×D411yescharacteristic
840C22×C61C2×H(5,𝔽2)11yescharacteristic
841C22×C61C2×H(5,𝔽2)11yescharacteristic
842C22×C61C2×H(5,𝔽2)11yescharacteristic
843C22×C61#58511yescharacteristic
844C22×C61#58511yescharacteristic
845C22×C61#58511yescharacteristic
846C2×D61—22no—
847C2×D61—22no—
848C2×D61—22no—
849C2×D61—22no—
850C2×D61—22no—
851C2×D61—22no—
852C2×D61—416no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—41no—
866C2×D61—41no—
867C2×D61—41no—
868C4×C61—22no—
869C4×C61—22no—
870C4×C61—22no—
871C4×C61—22no—
872C4×C61—22no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61—41no—
878Dic61—22no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882Dic61—41no—
883Dic61—41no—
884Dic61—41no—
885Dic61—41no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890Dic61—41no—
891C2×#540D6111yescharacteristic, complemented
892C2×#525—611no—
893#2849—611no—
894#2847—611no—
895#2694—611no—
896#2693—611no—
897#2690—611no—
898#2688—611no—
899#2687—611no—
900#2678—611no—
901#2676—611no—
902#2675—611no—
903#2673—611no—
904#2673—611no—
905#2672—611no—
906#2671—611no—
907#2671—611no—
908#2669—611no—
909#2669—611no—
910#2668—611no—
911#2635—611no—
912#2630—611no—
913#2609—611no—
914#2602—611no—
915#2598—611no—
916#2598—611no—
917#2543—611no—
918#2535—611no—
919#2431—611no—
920#2430—611no—
921#2318—611no—
922C2×C61—42no—
923C2×C61—42no—
924C2×C61—81no—
925C2×C61—81no—
926C2×C61—81no—
927C2×C61#344911yescharacteristic
928C2×C61#348411yescharacteristic
929C2×C61#348811yescharacteristic
930C2×C61#353311yescharacteristic
931C2×C61#353411yescharacteristic
932C2×C61#353911yescharacteristic
933C2×C61#354211yescharacteristic
934D61—42no—
935D61—42no—
936D61—81no—
937C22×#41—611no—
938C24×C4—611no—
939#540—28no—
940C2×#127—611no—
941C2×#127C2×D6111yescharacteristic
942C2×#125C2×D6111yescharacteristic, complemented
943C2×#124—611no—
944#525—1228no—
945C2×#123—611no—
946C2×#123—611no—
947C2×#123—611no—
948C2×#123C2×D6111yescharacteristic
949C2×#123C2×D6111yescharacteristic
950C2×#123C2×D6111yescharacteristic, complemented
951C2×#123C2×D6111yescharacteristic, complemented
952C2×C22⋊Q8—611no—
953C2×C22⋊Q8—611no—
954C2×#121—611no—
955C2×#121—611no—
956C2×#121—611no—
957C2×#121—611no—
958C2×#121—611no—
959C2×#121—611no—
960C2×#121—611no—
961C2×#121—611no—
962C2×#121—611no—
963C2×#121—611no—
964C2×#121C2×D6111yescharacteristic
965C2×#121C2×D6111yescharacteristic
966C2×#121C2×D6111yescharacteristic
967C2×#121C2×D6111yescharacteristic, complemented
968C2×#121C2×D6111yescharacteristic, complemented
969C2×#121C2×D6111yescharacteristic, complemented
970C2×#120—611no—
971C2×#120—611no—
972C2×#120—611no—
973C2×#120—611no—
974C2×#120—611no—
975C2×C4×D4—611no—
976C2×C4×D4—611no—
977C2×C4×D4—611no—
978C2×C4×D4C2×D6111yescharacteristic
979C2×C4×D4C2×D6111yescharacteristic, complemented
980C2×#117—611no—
981C2×#117C2×D6111yescharacteristic, complemented
982#400—611no—
983#400—611no—
984#400—611no—
985#399—611no—
986#399—611no—
987#399—611no—
988#398—611no—
989#398—611no—
990#398—611no—
991#397—611no—
992#397—611no—
993#397—611no—
994#397—611no—
995#397—611no—
996#396—611no—
997#396—611no—
998#396—611no—
999#396—611no—
1000#395—611no—
1001#394—611no—
1002#394—611no—
1003#394—611no—
1004#394—611no—
1005#394—611no—
1006#394—611no—
1007#394—611no—
1008#394—611no—
1009#394—611no—
1010#394—611no—
1011#394—611no—
1012#394—611no—
1013#394—611no—
1014#393—611no—
1015#392—611no—
1016#392—611no—
1017#392—611no—
1018#392—611no—
1019#392—611no—
1020#392—611no—
1021#392—611no—
1022#392—611no—
1023#392—611no—
1024#392—611no—
1025#392—611no—
1026#392—611no—
1027#392—611no—
1028#392—611no—
1029#392—611no—
1030#391—611no—
1031#390—611no—
1032#390—611no—
1033#389—611no—
1034#388—611no—
1035#388—611no—
1036#388—611no—
1037#388—611no—
1038#388—611no—
1039#388—611no—
1040#388—611no—
1041#388—611no—
1042#388—611no—
1043#388—611no—
1044#387—611no—
1045#387—611no—
1046#387—611no—
1047#387—611no—
1048#386—611no—
1049#386—611no—
1050#386—611no—
1051#386—611no—
1052#386—611no—
1053#386—611no—
1054#386—611no—
1055#386—611no—
1056#386—611no—
1057#386—611no—
1058#386—611no—
1059#386—611no—
1060#386—611no—
1061#386—611no—
1062#386—611no—
1063#386—611no—
1064#386—611no—
1065#386—611no—
1066#386—611no—
1067#386—611no—
1068#386—611no—
1069#386—611no—
1070#386—611no—
1071#386—611no—
1072#385—611no—
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385—611no—
1080#385—611no—
1081#385—611no—
1082#383—611no—
1083#382—611no—
1084#381—611no—
1085#381—611no—
1086#380—611no—
1087#380—611no—
1088#380—611no—
1089#380—611no—
1090#380—611no—
1091#379—611no—
1092C4×C22⋊C4—611no—
1093C2×#95—611no—
1094C61#3671311yescharacteristic, complemented, Sylow
1095C25—611no—
1096C2×#41—1224no—
1097C2×#41—2442no—
1098C2×#41—2442no—
1099C22×Q8—611no—
1100C22×D4—611no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—611no—
1104C22×D4—611no—
1105C22×D4—611no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—611no—
1109C22×D4—611no—
1110C22×D4—611no—
1111C22×D4—611no—
1112C22×D4—611no—
1113C22×D4—611no—
1114C22×D4—611no—
1115C22×D4C22×D6111yescharacteristic
1116C22×D4C22×D6111yescharacteristic
1117C22×D4C22×D6111yescharacteristic
1118C22×D4C22×D6111yescharacteristic
1119C22×D4C22×D6111yescharacteristic
1120C22×D4C22×D6111yescharacteristic
1121C22×D4C22×D6111yescharacteristic
1122C22×D4C22×D6111yescharacteristic
1123C22×D4C22×D6111yescharacteristic
1124C22×D4C22×D6111yescharacteristic
1125C23×C4—611no—
1126C23×C4—611no—
1127C23×C4—611no—
1128C23×C4—611no—
1129C23×C4—611no—
1130C23×C4—611no—
1131C23×C4—611no—
1132C23×C4—611no—
1133C23×C4—1224no—
1134C23×C4—2442no—
1135C23×C4—2442no—
1136C23×C4C22×D6111yescharacteristic
1137C23×C4C22×D6111yescharacteristic
1138C23×C4C22×D6111yescharacteristic
1139C23×C4C22×D6111yescharacteristic
1140C23×C4C22×D6111yescharacteristic
1141#127—24no—
1142#127—2442no—
1143#125—24no—
1144#124—2442no—
1145#123—24no—
1146#123—24no—
1147#123—24no—
1148#123—24no—
1149#123—1224no—
1150#123—1224no—
1151#123—2442no—
1152C22⋊Q8—1224no—
1153C22⋊Q8—1224no—
1154#121—24no—
1155#121—24no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—24no—
1160#121—1224no—
1161#121—1224no—
1162#121—2442no—
1163#121—2442no—
1164#121—2442no—
1165#121—2442no—
1166#121—2442no—
1167#121—2442no—
1168#121—2442no—
1169#121—2442no—
1170#120—1224no—
1171#120—1224no—
1172#120—2442no—
1173#120—2442no—
1174#120—2442no—
1175C4×D4—24no—
1176C4×D4—1224no—
1177C4×D4—1224no—
1178C4×D4—1224no—
1179C4×D4C22⋊D6118yescomplemented
1180#117—24no—
1181#117—1224no—
1182C2×C4⋊C4—611no—
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—611no—
1187C2×C4⋊C4—611no—
1188C2×C4⋊C4—611no—
1189C2×C4⋊C4—611no—
1190C2×C4⋊C4—611no—
1191C2×C4⋊C4—611no—
1192C2×C4⋊C4—611no—
1193C2×C4⋊C4—611no—
1194C2×C4⋊C4—611no—
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4—611no—
1197C2×C4⋊C4—611no—
1198C2×C4⋊C4C22×D6111yescharacteristic
1199C2×C4⋊C4C22×D6111yescharacteristic
1200C2×C4⋊C4C22×D6111yescharacteristic
1201C2×C4⋊C4C22×D6111yescharacteristic
1202C2×C4⋊C4C22×D6111yescharacteristic
1203C2×C4⋊C4C22×D6111yescharacteristic
1204C2×C4⋊C4C22×D6111yescharacteristic
1205C2×C4⋊C4C22×D6111yescharacteristic
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—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—611no—
1243C2×C22⋊C4—611no—
1244C2×C22⋊C4—611no—
1245C2×C22⋊C4—611no—
1246C2×C22⋊C4—611no—
1247C2×C22⋊C4—611no—
1248C2×C22⋊C4—611no—
1249C2×C22⋊C4—611no—
1250C2×C22⋊C4C22×D6111yescharacteristic
1251C2×C22⋊C4C22×D6111yescharacteristic
1252C2×C22⋊C4C22×D6111yescharacteristic
1253C2×C22⋊C4C22×D6111yescharacteristic
1254C2×C22⋊C4C22×D6111yescharacteristic
1255C2×C22⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4C22×D6111yescharacteristic
1257C2×C22⋊C4C22×D6111yescharacteristic
1258C2×C22⋊C4C22×D6111yescharacteristic
1259C2×C22⋊C4C22×D6111yescharacteristic
1260C2×C42—611no—
1261C2×C42—611no—
1262C2×C42—611no—
1263C2×C42C22×D6111yescharacteristic
1264C2×C42C22×D6111yescharacteristic
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#95—611no—
1274#95—611no—
1275#95—611no—
1276#95—611no—
1277#95—611no—
1278#95—611no—
1279#95—611no—
1280#95—611no—
1281#95—611no—
1282#95—611no—
1283#95—611no—
1284#95—611no—
1285#95—611no—
1286#95—611no—
1287#95—611no—
1288#95—611no—
1289#95—611no—
1290#95—611no—
1291#95—611no—
1292#95—611no—
1293#95—611no—
1294#95—611no—
1295#95—611no—
1296#95—611no—
1297C24—611no—
1298C24—611no—
1299C24—611no—
1300C24—1222no—
1301C24—1222no—
1302C24—1222no—
1303C24—2441no—
1304C24—2441no—
1305C24—2441no—
1306C24—2441no—
1307C24C23×D6111yescharacteristic
1308C24C23×D6111yescharacteristic
1309C24C23×D6111yescharacteristic
1310C24C23×D6111yescharacteristic
1311C24C23×D6111yescharacteristic
1312#41—24416no—
1313C2×Q8—1222no—
1314C2×Q8—1222no—
1315C2×Q8—2441no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—1222no—
1346C2×D4—1222no—
1347C2×D4—1222no—
1348C2×D4—1222no—
1349C2×D4—1222no—
1350C2×D4—1222no—
1351C2×D4—1222no—
1352C2×D4—1222no—
1353C2×D4—1222no—
1354C2×D4—1222no—
1355C2×D4—1222no—
1356C2×D4—1222no—
1357C2×D4—1222no—
1358C2×D4—1222no—
1359C2×D4—1222no—
1360C2×D4—1222no—
1361C2×D4—1222no—
1362C2×D4—2441no—
1363C2×D4—2441no—
1364C2×D4—2441no—
1365C2×D4—2441no—
1366C2×D4—2441no—
1367C2×D4—2441no—
1368C2×D4—2441no—
1369C2×D4—2441no—
1370C2×D4—2441no—
1371C2×D4—2441no—
1372C2×D4—2441no—
1373C2×D4—2441no—
1374C2×D4—2441no—
1375C2×D4—2441no—
1376C2×D4—2441no—
1377C2×D4—2441no—
1378C2×D4—2441no—
1379C2×D4—2441no—
1380C2×D4—2441no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4—2441no—
1384C2×D4—2441no—
1385C2×D4—2441no—
1386C2×D4—2441no—
1387C2×D4—2441no—
1388C2×D4—2441no—
1389C2×D4—2441no—
1390C2×D4C2×C22⋊D6114yes—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—611no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—611no—
1408C22×C4—611no—
1409C22×C4—611no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—611no—
1415C22×C4—611no—
1416C22×C4—611no—
1417C22×C4—1222no—
1418C22×C4—1222no—
1419C22×C4—1222no—
1420C22×C4—1222no—
1421C22×C4—1222no—
1422C22×C4—1222no—
1423C22×C4—1222no—
1424C22×C4—1222no—
1425C22×C4—1222no—
1426C22×C4—1222no—
1427C22×C4—1222no—
1428C22×C4—2441no—
1429C22×C4—2441no—
1430C22×C4—2441no—
1431C22×C4—2441no—
1432C22×C4—2441no—
1433C22×C4—2441no—
1434C22×C4—24416no—
1435C22×C4—2441no—
1436C22×C4—2441no—
1437C22×C4—2441no—
1438C22×C4—2441no—
1439C22×C4—2441no—
1440C22×C4—2441no—
1441C22×C4—2441no—
1442C22×C4C2×C22⋊D6114yes—
1443C22×C4C2×C22⋊D6114yes—
1444C22×C4C23×D6111yescharacteristic
1445C22×C4C23×D6111yescharacteristic
1446C22×C4C23×D6111yescharacteristic
1447C22×C4C23×D6111yescharacteristic
1448C22×C4C23×D6111yescharacteristic
1449C22×C4C23×D6111yescharacteristic
1450C22×C4C23×D6111yescharacteristic
1451C22×C4C23×D6111yescharacteristic
1452C22×C4C23×D6111yescharacteristic
1453C22×C4C23×D6111yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—1222no—
1462C4⋊C4—1222no—
1463C4⋊C4—1222no—
1464C4⋊C4—1222no—
1465C4⋊C4—1222no—
1466C4⋊C4—1222no—
1467C4⋊C4—2441no—
1468C4⋊C4—2441no—
1469C4⋊C4—2441no—
1470C4⋊C4—2441no—
1471C4⋊C4—2441no—
1472C4⋊C4—2441no—
1473C4⋊C4—2441no—
1474C4⋊C4—2441no—
1475C4⋊C4—2441no—
1476C4⋊C4—2441no—
1477C4⋊C4C2×C22⋊D6114yes—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
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—1222no—
1498C22⋊C4—1222no—
1499C22⋊C4—1222no—
1500C22⋊C4—1222no—
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—
1515C22⋊C4—2441no—
1516C22⋊C4—2441no—
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⋊C4C2×C22⋊D6114yes—
1531C22⋊C4C2×C22⋊D6114yes—
1532C42—22no—
1533C42—1222no—
1534C42—2441no—
1535C42—2441no—
1536C42C2×C22⋊D6114yes—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—612no—
1571C23—612no—
1572C23—1221no—
1573C23—1221no—
1574C23—1221no—
1575C23—1221no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—1221no—
1580C23—1221no—
1581C23—1221no—
1582C23—1221no—
1583C23—1221no—
1584C23—1221no—
1585C23—1221no—
1586C23—1221no—
1587C23—1221no—
1588C23—1221no—
1589C23—1221no—
1590C23—1221no—
1591C23—2444no—
1592C23—2444no—
1593C23—2444no—
1594C23—2444no—
1595C23—2444no—
1596C23—2444no—
1597C23—2444no—
1598C23C22×C22⋊D6112yes—
1599C23C22×C22⋊D6112yes—
1600C23C24×D6111yescharacteristic
1601Q8—2444no—
1602D4—44no—
1603D4—44no—
1604D4—82no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—82no—
1609D4—82no—
1610D4—82no—
1611D4—82no—
1612D4—4882no—
1613D4—4882no—
1614D4—4882no—
1615D4—4882no—
1616D4—4882no—
1617D4—4882no—
1618D4—4882no—
1619D4—4882no—
1620D4—4882no—
1621D4—2444no—
1622D4—2444no—
1623D4—2444no—
1624D4—2444no—
1625D4—2444no—
1626D4—2444no—
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—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—82no—
1656C2×C4—82no—
1657C2×C4—612no—
1658C2×C4—1228no—
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—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—1221no—
1697C2×C4—4882no—
1698C2×C4—4882no—
1699C2×C4—2444no—
1700C2×C4—2444no—
1701C2×C4—2444no—
1702C2×C4—2444no—
1703C2×C4—2444no—
1704C2×C4C22×C22⋊D6112yes—
1705C2×C4C22×C22⋊D6112yes—
1706C2×C4C22×C22⋊D6112yes—
1707C2×C4C22×C22⋊D6112yes—
1708C2×C4C22×C22⋊D6112yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—1222no—
1745C22—1222no—
1746C22—1222no—
1747C22—1222no—
1748C22—1222no—
1749C22—1222no—
1750C22—24416no—
1751C22—2441no—
1752C22—2441no—
1753C22—2441no—
1754C22—2441no—
1755C22—2441no—
1756C22—2441no—
1757C22—2441no—
1758C22—2441no—
1759C22—2441no—
1760C22—2441no—
1761C22—2441no—
1762C22—2441no—
1763C22—2441no—
1764C22—2441no—
1765C22—2441no—
1766C22C23×C22⋊D6111yescharacteristic
1767C22H(5,𝔽2)×D6111yescharacteristic
1768C22H(5,𝔽2)×D6111yescharacteristic
1769C22H(5,𝔽2)×D6111yescharacteristic
1770C22#1684059711yescharacteristic
1771C22#1684059811yescharacteristic
1772C22#1684059811yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—1222no—
1784C4—2441no—
1785C4—2441no—
1786C4—2441no—
1787C4—2441no—
1788C4—2441no—
1789C4—2441no—
1790C4—2441no—
1791C4—2441no—
1792C4—2441no—
1793C4—2441no—
1794C4—2441no—
1795C4—2441no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—81no—
1800C2—81no—
1801C2—4881no—
1802C2—2442no—
1803C2—2442no—
1804C2#2145914811yescharacteristic
1805C2#2145945011yescharacteristic
1806C2#2145948111yescharacteristic
1807C2#2145997911yescharacteristic
1808C2#2146000211yescharacteristic
1809C2#2146007111yescharacteristic
1810C2#2146012611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC2×C61×#540C2
hypercenterC2×#540D61
hypocenterC61#36713
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. C2×#16840271C2semidirect
2. #21454108C2semidirect
3. #21454098C2semidirect
4. #21452333C2semidirect
5. #21452324C2semidirect
6. #21452279C2semidirect
7. #21452249C2semidirect
8. #21452234C2semidirect
9. #21452138C2semidirect
10. #21452114C2semidirect
11. #21452109C2semidirect
12. #21452080C2semidirect
13. #21452079C2semidirect
14. #21452064C2semidirect
15. #21452055C2semidirect
16. #21452050C2semidirect
17. #21452032C2semidirect
18. #21452031C2semidirect
19. #21452022C2semidirect
20. #21451704C2semidirect
21. #21451658C2semidirect
22. #21451491C2semidirect
23. #21451433C2semidirect
24. #21451385C2semidirect
25. #21451379C2semidirect
26. #21450781C2semidirect
27. #21450720C2semidirect
28. #21449439C2semidirect
29. #21449431C2semidirect
30. #21448452C2semidirect
31. C2×C61×#540C2semidirect
35. C2×#14519764C22semidirect
49. C2×#14519749C22semidirect
61. #16839701C22semidirect
62. #16839700C22semidirect
63. #16839700C22semidirect
64. #16839698C22semidirect
66. #16839697C22semidirect
67. #16839695C22semidirect
68. #16839695C22semidirect
69. #16839693C22semidirect
71. #16839690C22semidirect
74. #16839688C22semidirect
75. #16839685C22semidirect
76. #16839685C22semidirect
78. #16839684C22semidirect
79. #16839682C22semidirect
83. #16839678C22semidirect
89. #16839676C22semidirect
90. #16839676C22semidirect
91. #16839676C22semidirect
92. #16839676C22semidirect
93. #16839674C22semidirect
105. #16839670C22semidirect
106. #16839670C22semidirect
107. #16839670C22semidirect
108. #16839670C22semidirect
109. #16839667C22semidirect
112. #16839657C22semidirect
113. #16839656C22semidirect
118. #16839653C22semidirect
120. #16839650C22semidirect
121. #16839650C22semidirect
122. #16839650C22semidirect
123. #16839648C22semidirect
124. #16839648C22semidirect
125. #16839646C22semidirect
126. #16839643C22semidirect
131. #16839642C22semidirect
132. #16839642C22semidirect
137. #16839641C22semidirect
139. #16839639C22semidirect
148. #16839638C22semidirect
149. #16839638C22semidirect
150. #16839638C22semidirect
151. #16839637C22semidirect
152. #16839637C22semidirect
153. #16839635C22semidirect
154. #16839635C22semidirect
155. #16839635C22semidirect
160. #16839633C22semidirect
161. #16839630C22semidirect
162. #16839628C22semidirect
166. #16839622C22semidirect
167. #16839622C22semidirect
171. C4×C22⋊Dic61C22semidirect
172. C2×#14519684C22semidirect
175. C2×#125×C61C22semidirect
178. C2×#123×C61C22semidirect
179. C2×#123×C61C22semidirect
183. C2×#121×C61C22semidirect
184. C2×#121×C61C22semidirect
185. C2×#121×C61C22semidirect
187. C2×C4×D4×C61C22semidirect
188. C2×#117×C61C22semidirect
369. C4×D4×C61D4semidirect
891. C2×#540D61semidirect
942. C2×#125C2×D61semidirect
950. C2×#123C2×D61semidirect
951. C2×#123C2×D61semidirect
967. C2×#121C2×D61semidirect
968. C2×#121C2×D61semidirect
969. C2×#121C2×D61semidirect
979. C2×C4×D4C2×D61semidirect
981. C2×#117C2×D61semidirect
1094. C61#36713semidirect
1179. C4×D4C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168402712
#214541082
#214540982
#214523332
#214523242
#214522792
#214522492
#214522342
#214521382
#214521142
#214521092
#214520802
#214520792
#214520642
#214520552
#214520502
#214520322
#214520312
#214520222
#214517042
#214516582
#214514912
#214514332
#214513852
#214513792
#214507812
#214507202
#214494392
#214494312
#214484522
C2×C61×#5402
#3671361