Finite Group Databasebeta

← #29886834

Subgroups — #29886834

Order 15616.

2630 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840346C211yesmaximal, characteristic, complemented
2C2×#123×D61C211yesmaximal, characteristic, complemented
3#21454103C211yesmaximal, characteristic, complemented
4#21454100C211yesmaximal, characteristic, complemented
5#21452357C211yesmaximal, characteristic, complemented
6#21452355C211yesmaximal, characteristic, complemented
7#21452353C211yesmaximal, characteristic, complemented
8#21452351C211yesmaximal, characteristic, complemented
9#21452331C211yesmaximal, characteristic, complemented
10#21452330C211yesmaximal, characteristic, complemented
11#21452326C211yesmaximal, characteristic, complemented
12#21452324C211yesmaximal, characteristic, complemented
13#21452069C211yesmaximal, characteristic, complemented
14#21452066C211yesmaximal, characteristic, complemented
15#21452065C211yesmaximal, characteristic, complemented
16#21452061C211yesmaximal, characteristic, complemented
17#21452060C211yesmaximal, characteristic, complemented
18#21452049C211yesmaximal, characteristic, complemented
19#21452048C211yesmaximal, characteristic, complemented
20#21451631C211yesmaximal, characteristic, complemented
21#21451566C211yesmaximal, characteristic, complemented
22#21450713C211yesmaximal, characteristic, complemented
23#21450704C211yesmaximal, characteristic, complemented
24#21450134C211yesmaximal, characteristic, complemented
25#21450129C211yesmaximal, characteristic, complemented
26#21449212C211yesmaximal, characteristic, complemented
27#21449210C211yesmaximal, characteristic, complemented
28#21449190C211yesmaximal, characteristic, complemented
29#21449188C211yesmaximal, characteristic, complemented
30#21448430C211yesmaximal, characteristic, complemented
31C61×#2672C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34#16840346—28no—
35C2×#14519771C2211yescharacteristic, complemented
36C2×#14519770C2211yescharacteristic, complemented
37C2×#14519766C2211yescharacteristic, complemented
38C2×#14519762C2211yescharacteristic
39C2×#14519762C2211yescharacteristic
40C2×#14519762C2211yescharacteristic
41C2×#14519761C2211yescharacteristic
42C2×#14519761C2211yescharacteristic, complemented
43C2×#14519760C2211yescharacteristic
44C2×#14519759C2211yescharacteristic
45C2×#14519759C2211yescharacteristic
46C2×#14519759C2211yescharacteristic
47C2×#14519759C2211yescharacteristic, complemented
48C2×#14519758C2211yescharacteristic
49#123×D61—28no—
50C2×#14519753C2211yescharacteristic
51C2×#14519753C2211yescharacteristic, complemented
52C2×#14519752C2211yescharacteristic
53C2×#14519750C2211yescharacteristic
54C2×#14519750C2211yescharacteristic
55C2×#14519750C2211yescharacteristic, complemented
56C2×#14519750C2211yescharacteristic, complemented
57C2×#14519749C2211yescharacteristic
58C2×#14519749C2211yescharacteristic, complemented
59C2×#14519749C2211yescharacteristic, complemented
60C2×#14519747C2211yescharacteristic
61C2×#14519747C2211yescharacteristic
62C2×#14519745C2211yescharacteristic
63C2×#14519745C2211yescharacteristic
64C2×C4×D244C2211yescharacteristic
65C2×#14519737C2211yescharacteristic
66C2×C4⋊C4×D61C2211yescharacteristic
67C2×C4⋊C4×D61C2211yescharacteristic
68C22×#11758198C2211yescharacteristic
69C2×C22⋊C4×D61C2211yescharacteristic
70C2×C22⋊C4×D61C2211yescharacteristic
71C2×C22⋊C4×D61C2211yescharacteristic
72C2×C22⋊C4×D61C2211yescharacteristic
73#16839704C2211yescharacteristic, complemented
74#16839704C2211yescharacteristic, complemented
75#16839702C2211yescharacteristic, complemented
76#16839702C2211yescharacteristic, complemented
77#16839701C2211yescharacteristic, complemented
78#16839700C2211yescharacteristic, complemented
79#16839698C2211yescharacteristic, complemented
80#16839697C2211yescharacteristic, complemented
81#16839697C2211yescharacteristic, complemented
82#16839696C2211yescharacteristic, complemented
83#16839696C2211yescharacteristic, complemented
84#16839696C2211yescharacteristic, complemented
85#16839695C2211yescharacteristic, complemented
86#16839693C2211yescharacteristic, complemented
87#16839693C2211yescharacteristic, complemented
88#16839691C2211yescharacteristic, complemented
89#16839690C2211yescharacteristic, complemented
90#16839688C2211yescharacteristic, complemented
91#16839687C2211yescharacteristic, complemented
92#16839685C2211yescharacteristic, complemented
93#16839685C2211yescharacteristic, complemented
94#16839685C2211yescharacteristic, complemented
95#16839684C2211yescharacteristic, complemented
96#16839684C2211yescharacteristic, complemented
97#16839684C2211yescharacteristic, complemented
98#16839684C2211yescharacteristic, complemented
99#16839681C2211yescharacteristic, complemented
100#16839680C2211yescharacteristic, complemented
101#16839680C2211yescharacteristic, complemented
102#16839679C2211yescharacteristic
103#16839679C2211yescharacteristic, complemented
104#16839678C2211yescharacteristic, complemented
105#16839678C2211yescharacteristic, complemented
106#16839677C2211yescharacteristic
107#16839677C2211yescharacteristic
108#16839677C2211yescharacteristic, complemented
109#16839677C2211yescharacteristic, complemented
110#16839676C2211yescharacteristic, complemented
111#16839671C2211yescharacteristic
112#16839671C2211yescharacteristic
113#16839670C2211yescharacteristic
114#16839670C2211yescharacteristic
115#16839660C2211yescharacteristic, complemented
116#16839657C2211yescharacteristic, complemented
117#16839657C2211yescharacteristic, complemented
118#16839655C2211yescharacteristic, complemented
119#16839653C2211yescharacteristic, complemented
120#16839651C2211yescharacteristic, complemented
121#16839642C2211yescharacteristic
122#16839642C2211yescharacteristic, complemented
123#16839641C2211yescharacteristic
124#16839641C2211yescharacteristic, complemented
125#16839641C2211yescharacteristic, complemented
126#16839640C2211yescharacteristic
127#16839640C2211yescharacteristic
128#16839640C2211yescharacteristic
129#16839640C2211yescharacteristic, complemented
130#16839640C2211yescharacteristic, complemented
131#16839639C2211yescharacteristic, complemented
132#16839639C2211yescharacteristic, complemented
133#16839638C2211yescharacteristic
134#16839638C2211yescharacteristic
135#16839638C2211yescharacteristic
136#16839638C2211yescharacteristic, complemented
137#16839638C2211yescharacteristic, complemented
138#16839638C2211yescharacteristic, complemented
139#16839638C2211yescharacteristic, complemented
140#16839637C2211yescharacteristic, complemented
141#16839636C2211yescharacteristic, complemented
142#16839636C2211yescharacteristic, complemented
143#16839635C2211yescharacteristic, complemented
144#16839634C2211yescharacteristic, complemented
145#16839634C2211yescharacteristic, complemented
146#16839634C2211yescharacteristic, complemented
147#16839633C2211yescharacteristic
148#16839633C2211yescharacteristic
149#16839633C2211yescharacteristic
150#16839633C2211yescharacteristic
151#16839633C2211yescharacteristic, complemented
152#16839633C2211yescharacteristic, complemented
153#16839633C2211yescharacteristic, complemented
154#16839633C2211yescharacteristic, complemented
155#16839624C2211yescharacteristic
156#16839624C2211yescharacteristic
157#16839622C2211yescharacteristic, complemented
158#16839621C2211yescharacteristic
159#16839621C2211yescharacteristic
160#16839621C2211yescharacteristic, complemented
161#16839621C2211yescharacteristic, complemented
162#16839620C2211yescharacteristic, complemented
163#16839620C2211yescharacteristic, complemented
164#16839620C2211yescharacteristic, complemented
165#16839620C2211yescharacteristic, complemented
166#16839619C2211yescharacteristic
167#16839619C2211yescharacteristic
168#16839619C2211yescharacteristic, complemented
169#16839619C2211yescharacteristic, complemented
170#16839619C2211yescharacteristic, complemented
171#16839619C2211yescharacteristic, complemented
172#16839617C2211yescharacteristic
173#16839617C2211yescharacteristic
174C2×#124×C61C2211yescharacteristic, complemented
175C2×#123×C61C2211yescharacteristic
176C2×C22⋊Q8×C61C2211yescharacteristic, complemented
177C2×#121×C61C2211yescharacteristic
178C61×#399C2211yescharacteristic, complemented
179C61×#396C2211yescharacteristic, complemented
180C61×#395C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic
182C61×#394C2211yescharacteristic, complemented
183C61×#394C2211yescharacteristic, complemented
184C61×#389C2211yescharacteristic, complemented
185C61×#388C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic, complemented
187C61×#385C2211yescharacteristic, complemented
188C61×#380C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C2×D4×D61—24no—
204C2×D4×D61—42no—
205C2×D4×D61—42no—
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C22×C4×D61—24no—
210C22×C4×D61—42no—
211C22×C4×D61—42no—
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222#14519771—24no—
223#14519770—24no—
224#14519766—24no—
225#14519762—24no—
226#14519762—24no—
227#14519762—42no—
228#14519761—24no—
229#14519761—24no—
230#14519760—24no—
231#14519759—24no—
232#14519759—24no—
233#14519759—24no—
234#14519759—42no—
235#14519758—24no—
236#14519753—24no—
237#14519753—42no—
238#14519752—42no—
239#14519750—24no—
240#14519750—24no—
241#14519750—42no—
242#14519750—42no—
243#14519749—24no—
244#14519749—42no—
245#14519749—42no—
246#14519747—24no—
247#14519747—42no—
248#14519745—24no—
249#14519745—42no—
250C4×D244—24no—
251#14519737—24no—
252C2×C4⋊Dic61C2311yescharacteristic
253C2×C4⋊Dic61C2311yescharacteristic
254C2×C4⋊Dic61C2311yescharacteristic
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C4⋊C4×D61—24no—
278C4⋊C4×D61—24no—
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×#11758198—42no—
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C22⋊C4×D61—24no—
322C22⋊C4×D61—24no—
323C22⋊C4×D61—42no—
324C22⋊C4×D61D418yescomplemented
325C2×C4×Dic61C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352C22×Q8×C61C2311yescharacteristic
353C22×D4×C61C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358#124×C61—24no—
359#123×C61—24no—
360C22⋊Q8×C61—42no—
361#121×C61—42no—
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊C4×C61C2311yescharacteristic
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C4⋊C4×C61C2311yescharacteristic
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C42×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—22no—
399C23×D61—22no—
400C23×D61—22no—
401C23×D61—41no—
402C23×D61—41no—
403C23×D61—41no—
404C23×D61—41no—
405C23×D61—41no—
406C23×D61—41no—
407C23×D61C2×D414yes—
408C23×D61C2411yescharacteristic
409C23×D61C2411yescharacteristic
410C23×D61C2411yescharacteristic
411C23×D61C2411yescharacteristic
412C2×Q8×C61—22no—
413C2×Q8×C61—41no—
414C2×Q8×C61—41no—
415C2×D4×C61—22no—
416C2×D4×C61—22no—
417C2×D4×C61—22no—
418C2×D4×C61—22no—
419C2×D4×C61—41no—
420C2×D4×C61—41no—
421C2×D4×C61—41no—
422C2×D4×C61—41no—
423C2×D4×C61—41no—
424C22×C4×C61—22no—
425C22×C4×C61—22no—
426C22×C4×C61—41no—
427C22×C4×C61—41no—
428C22×C4×C61—41no—
429C22×C4×C61—41no—
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
439C22×C4×C61C2411yescharacteristic
440C22×C4×C61C2411yescharacteristic
441C22×C4×C61C2411yescharacteristic
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—22no—
447C2×C22⋊D61—22no—
448C2×C22⋊D61—22no—
449C2×C22⋊D61—22no—
450C2×C22⋊D61—22no—
451C2×C22⋊D61—22no—
452C2×C22⋊D61—22no—
453C2×C22⋊D61—22no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
458C2×C22⋊D61—41no—
459C2×C22⋊D61—41no—
460C2×C22⋊D61—41no—
461C2×C22⋊D61—41no—
462C2×C22⋊D61—41no—
463C2×C22⋊D61—41no—
464C2×C22⋊D61—41no—
465C2×C22⋊D61—41no—
466C22×Dic61—22no—
467C22×Dic61—22no—
468C22×Dic61—22no—
469C22×Dic61—41no—
470C22×Dic61—41no—
471C22×Dic61—41no—
472C22×Dic61—41no—
473C22×Dic61—41no—
474C22×Dic61—41no—
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C22×Dic61C2411yescharacteristic
487D4×D61—416no—
488C2×D244—22no—
489C2×D244—22no—
490C2×D244—22no—
491C2×D244—22no—
492C2×D244—22no—
493C2×D244—22no—
494C2×D244—22no—
495C2×D244—41no—
496C2×D244—41no—
497C2×D244—41no—
498C2×D244—41no—
499C2×D244—41no—
500C2×C4×D61—22no—
501C2×C4×D61—22no—
502C2×C4×D61—22no—
503C2×C4×D61—22no—
504C2×C4×D61—22no—
505C2×C4×D61—22no—
506C2×C4×D61—22no—
507C2×C4×D61—22no—
508C2×C4×D61—22no—
509C2×C4×D61—22no—
510C2×C4×D61—41no—
511C2×C4×D61—41no—
512C2×C4×D61—41no—
513C2×C4×D61—41no—
514C2×C4×D61—41no—
515C2×C4×D61—41no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—416no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C2×C4×D61—41no—
525C2×C4×D61—41no—
526C2×C4×D61—41no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C2×C4×D61C2×D414yes—
530C2×C4×D61C2×D414yes—
531C4⋊C4×C61—22no—
532C4⋊C4×C61—22no—
533C4⋊C4×C61—41no—
534C4⋊C4×C61—41no—
535C4⋊C4×C61—41no—
536C4⋊C4×C61—41no—
537C4⋊C4×C61—41no—
538C4⋊C4×C61—41no—
539C4⋊C4×C61—41no—
540C22⋊C4×C61—22no—
541C22⋊C4×C61—22no—
542C22⋊C4×C61—22no—
543C22⋊C4×C61—22no—
544C22⋊C4×C61—22no—
545C22⋊C4×C61—22no—
546C22⋊C4×C61—22no—
547C22⋊C4×C61—41no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C22⋊C4×C61C2×D414yes—
553C42×C61—22no—
554C22⋊Dic61—22no—
555C22⋊Dic61—22no—
556C22⋊Dic61—22no—
557C22⋊Dic61—41no—
558C22⋊Dic61—41no—
559C22⋊Dic61—41no—
560C22⋊Dic61—41no—
561C22⋊Dic61—41no—
562C22⋊Dic61—41no—
563C22⋊Dic61—41no—
564C22⋊Dic61C2×D414yes—
565#11758198—22no—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—22no—
570#11758198—22no—
571#11758198—22no—
572#11758198—22no—
573#11758198—22no—
574#11758198—22no—
575#11758198—22no—
576#11758198—22no—
577#11758198—22no—
578#11758198—22no—
579#11758198—22no—
580#11758198—22no—
581#11758198—41no—
582#11758198—41no—
583#11758198—41no—
584#11758198—41no—
585#11758198—41no—
586#11758198—41no—
587#11758198—41no—
588#11758198—41no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592#11758198—41no—
593#11758198C2×D414yes—
594#11758198C2×D414yes—
595C4⋊Dic61—22no—
596C4⋊Dic61—22no—
597C4⋊Dic61—22no—
598C4⋊Dic61—22no—
599C4⋊Dic61—41no—
600C4⋊Dic61—41no—
601C4⋊Dic61—41no—
602#11758196—22no—
603#11758196—22no—
604#11758196—22no—
605#11758196—22no—
606#11758196—22no—
607#11758196—22no—
608#11758196—22no—
609#11758196—22no—
610#11758196—41no—
611#11758196—41no—
612#11758196—41no—
613#11758196—41no—
614#11758196—41no—
615#11758196—41no—
616#11758196—41no—
617#11758196—41no—
618#11758196—41no—
619#11758196—41no—
620C4×Dic61—22no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61C22×D412yes—
641C23×C61H(5,𝔽2)12yes—
642C23×C61C2511yescharacteristic
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—28no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—28no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—44no—
669C22×D61—44no—
670C22×D61—44no—
671C22×D61—44no—
672C22×D61—44no—
673C22×D61—44no—
674C22×D61—44no—
675C22×D61—44no—
676C22×D61—82no—
677C22×D61—82no—
678C22×D61—82no—
679C22×D61—82no—
680C22×D61C22×D412yes—
681C22×D61C22×D412yes—
682C22×D61H(5,𝔽2)12yes—
683C22×D61H(5,𝔽2)12yes—
684C22×D612−1+412yes—
685Q8×C61—82no—
686D4×C61—44no—
687D4×C61—82no—
688D4×C61—82no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—44no—
724C2×C4×C61—82no—
725C2×C4×C61C22×D412yes—
726C2×C4×C61C22×D412yes—
727C22⋊D61—44no—
728C22⋊D61—44no—
729C22⋊D61—44no—
730C22⋊D61—82no—
731C22⋊D61—82no—
732C22⋊D61—82no—
733C22⋊D61—82no—
734C22⋊D61—82no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—44no—
770C2×Dic61—82no—
771C2×Dic61—82no—
772C2×Dic61C22×D412yes—
773C2×Dic61C22×D412yes—
774D244—44no—
775D244—44no—
776D244—82no—
777D244—82no—
778C4×D61—44no—
779C4×D61—44no—
780C4×D61—44no—
781C4×D61—44no—
782C4×D61—44no—
783C4×D61—44no—
784C4×D61—44no—
785C4×D61—82no—
786C4×D61—82no—
787C4×D61—82no—
788#36709—611nomaximal, Sylow
789C22×C61—22no—
790C22×C61—22no—
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—22no—
794C22×C61—22no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61C23×D411yescharacteristic
811C22×C61C2×H(5,𝔽2)11yescharacteristic
812C22×C61C2×H(5,𝔽2)11yescharacteristic
813C22×C61C2×H(5,𝔽2)11yescharacteristic
814C22×C61C2×2−1+411yescharacteristic
815C22×C61#58511yescharacteristic
816C22×C61#58511yescharacteristic
817C2×D61—22no—
818C2×D61—22no—
819C2×D61—22no—
820C2×D61—22no—
821C2×D61—22no—
822C2×D61—22no—
823C2×D61—22no—
824C2×D61—22no—
825C2×D61—22no—
826C2×D61—22no—
827C2×D61—22no—
828C2×D61—22no—
829C2×D61—416no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—88no—
846C2×D61#53714yes—
847C4×C61—22no—
848C4×C61—22no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855C4×C61—41no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859Dic61—22no—
860Dic61—22no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870Dic61—41no—
871C2×#538—611no—
872C22×#123—611no—
873#2848—611no—
874#2847—611no—
875#2695—611no—
876#2695—611no—
877#2695—611no—
878#2695—611no—
879#2693—611no—
880#2693—611no—
881#2693—611no—
882#2693—611no—
883#2672—611no—
884#2672—611no—
885#2672—611no—
886#2672D6111yescharacteristic, complemented
887#2671—611no—
888#2671—611no—
889#2671—611no—
890#2671—611no—
891#2627—611no—
892#2618—611no—
893#2534—611no—
894#2534—611no—
895#2487—611no—
896#2487—611no—
897#2412—611no—
898#2412—611no—
899#2410—611no—
900#2410—611no—
901#2315—611no—
902C2×C61—42no—
903C2×C61—42no—
904C2×C61—81no—
905C2×C61C2×#53711yescharacteristic
906C2×C61#348411yescharacteristic
907C2×C61#348511yescharacteristic
908C2×C61#353411yescharacteristic
909C2×C61#353411yescharacteristic
910C2×C61#353511yescharacteristic
911C2×C61#353511yescharacteristic
912D61—24no—
913D61—42no—
914D61—42no—
915D61—81no—
916C23×D4—611no—
917C24×C4—611no—
918#538—1228no—
919C2×#126—611no—
920C2×#126—611no—
921C2×#124—611no—
922C2×#124C2×D6111yescharacteristic, complemented
923C2×#123—611no—
924C2×#123—611no—
925C2×#123—611no—
926C2×#123—611no—
927C2×#123—611no—
928C2×#123—611no—
929C2×#123—611no—
930C2×#123—611no—
931C2×#123—611no—
932C2×#123—611no—
933C2×#123—611no—
934C2×#123—1228no—
935C2×#123C2×D6111yescharacteristic
936C2×C22⋊Q8—611no—
937C2×C22⋊Q8—611no—
938C2×C22⋊Q8C2×D6111yescharacteristic, complemented
939C2×#121—611no—
940C2×#121—611no—
941C2×#121—611no—
942C2×#121—611no—
943C2×#121—611no—
944C2×#121—611no—
945C2×#121—611no—
946C2×#121—611no—
947C2×#121C2×D6111yescharacteristic
948C2×#120—611no—
949C2×#120—611no—
950C2×#120—611no—
951C2×#120—611no—
952C2×C4×D4—611no—
953C2×C4×D4—611no—
954C22×C4⋊C4—611no—
955C22×C4⋊C4—611no—
956C22×C22⋊C4—611no—
957C22×C22⋊C4—611no—
958C22×C22⋊C4—611no—
959C22×C22⋊C4—611no—
960C22×C22⋊C4—611no—
961#400—611no—
962#400—611no—
963#400—611no—
964#400—611no—
965#400—611no—
966#400—611no—
967#399—611no—
968#399—611no—
969#399—611no—
970#399C2×D6111yescharacteristic, complemented
971#398—611no—
972#398—611no—
973#398—611no—
974#398—611no—
975#398—611no—
976#398—611no—
977#397—611no—
978#397—611no—
979#397—611no—
980#397—611no—
981#396—611no—
982#396—611no—
983#396—611no—
984#396—611no—
985#396—611no—
986#396—611no—
987#396—611no—
988#396C2×D6111yescharacteristic, complemented
989#395—611no—
990#395C2×D6111yescharacteristic, complemented
991#394—611no—
992#394—611no—
993#394—611no—
994#394—611no—
995#394—611no—
996#394—611no—
997#394—611no—
998#394—611no—
999#394—611no—
1000#394—611no—
1001#394—611no—
1002#394C2×D6111yescharacteristic
1003#394C2×D6111yescharacteristic, complemented
1004#394C2×D6111yescharacteristic, complemented
1005#392—611no—
1006#392—611no—
1007#392—611no—
1008#392—611no—
1009#389—611no—
1010#389—611no—
1011#389—611no—
1012#389C2×D6111yescharacteristic, complemented
1013#388—611no—
1014#388—611no—
1015#388—611no—
1016#388C2×D6111yescharacteristic, complemented
1017#386—611no—
1018#386—611no—
1019#386—611no—
1020#386—611no—
1021#386—611no—
1022#386—611no—
1023#386—611no—
1024#386—611no—
1025#386—611no—
1026#386—611no—
1027#386—611no—
1028#386—611no—
1029#386—611no—
1030#386—611no—
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386—611no—
1035#386—611no—
1036#386C2×D6111yescharacteristic, complemented
1037#385—611no—
1038#385—611no—
1039#385—611no—
1040#385—611no—
1041#385—611no—
1042#385—611no—
1043#385—611no—
1044#385—611no—
1045#385—611no—
1046#385—611no—
1047#385—611no—
1048#385—611no—
1049#385—611no—
1050#385—611no—
1051#385—611no—
1052#385C2×D6111yescharacteristic, complemented
1053#381—611no—
1054#381—611no—
1055#380—611no—
1056#380—611no—
1057#380—611no—
1058#380—611no—
1059#380—611no—
1060#380—611no—
1061#380—611no—
1062#380—611no—
1063#380—611no—
1064#380—611no—
1065#380—611no—
1066#380—611no—
1067#380—611no—
1068#380—611no—
1069#380—611no—
1070#380C2×D6111yescharacteristic, complemented
1071#379—611no—
1072#379—611no—
1073C61#3670911yescharacteristic, complemented, Sylow
1074C25—611no—
1075C25—611no—
1076C22×Q8C22×D6111yescharacteristic
1077C22×D4—611no—
1078C22×D4—611no—
1079C22×D4—611no—
1080C22×D4—611no—
1081C22×D4—611no—
1082C22×D4—611no—
1083C22×D4—611no—
1084C22×D4—611no—
1085C22×D4—611no—
1086C22×D4—611no—
1087C22×D4—611no—
1088C22×D4—611no—
1089C22×D4—1224no—
1090C22×D4—2442no—
1091C22×D4—2442no—
1092C22×D4C22×D6111yescharacteristic
1093C22×D4C22×D6111yescharacteristic
1094C22×D4C22×D6111yescharacteristic
1095C23×C4—611no—
1096C23×C4—611no—
1097C23×C4—611no—
1098C23×C4—611no—
1099C23×C4—611no—
1100C23×C4—611no—
1101C23×C4—611no—
1102C23×C4—611no—
1103C23×C4—611no—
1104C23×C4—611no—
1105C23×C4—611no—
1106C23×C4—611no—
1107C23×C4—611no—
1108C23×C4—1224no—
1109C23×C4—2442no—
1110C23×C4—2442no—
1111C23×C4C22×D6111yescharacteristic
1112C23×C4C22×D6111yescharacteristic
1113#126—1224no—
1114#126—1224no—
1115#124—24no—
1116#124—1224no—
1117#123—24no—
1118#123—1224no—
1119#123—1224no—
1120#123—1224no—
1121#123—1224no—
1122#123—1224no—
1123#123—1224no—
1124#123—1224no—
1125#123—1224no—
1126#123—1224no—
1127#123—2442no—
1128#123—2442no—
1129C22⋊Q8—42no—
1130C22⋊Q8—1224no—
1131C22⋊Q8—2442no—
1132#121—42no—
1133#121—1224no—
1134#121—1224no—
1135#121—1224no—
1136#121—2442no—
1137#121—2442no—
1138#121—2442no—
1139#121—2442no—
1140#121—2442no—
1141#120—1224no—
1142#120—1224no—
1143#120—2442no—
1144#120—2442no—
1145C4×D4—1224no—
1146C4×D4—1224no—
1147C2×C4⋊C4—611no—
1148C2×C4⋊C4—611no—
1149C2×C4⋊C4—611no—
1150C2×C4⋊C4—611no—
1151C2×C4⋊C4—611no—
1152C2×C4⋊C4—611no—
1153C2×C4⋊C4—611no—
1154C2×C4⋊C4—611no—
1155C2×C4⋊C4—611no—
1156C2×C4⋊C4—611no—
1157C2×C4⋊C4—611no—
1158C2×C4⋊C4—611no—
1159C2×C4⋊C4—611no—
1160C2×C4⋊C4—611no—
1161C2×C4⋊C4—611no—
1162C2×C4⋊C4—611no—
1163C2×C4⋊C4—611no—
1164C2×C4⋊C4—611no—
1165C2×C4⋊C4—611no—
1166C2×C4⋊C4—611no—
1167C2×C4⋊C4—611no—
1168C2×C4⋊C4—611no—
1169C2×C4⋊C4—611no—
1170C2×C4⋊C4—611no—
1171C2×C4⋊C4—611no—
1172C2×C4⋊C4—1224no—
1173C2×C4⋊C4—1224no—
1174C2×C4⋊C4C22×D6111yescharacteristic
1175C2×C4⋊C4C22×D6111yescharacteristic
1176C2×C4⋊C4C22×D6111yescharacteristic
1177C2×C4⋊C4C22×D6111yescharacteristic
1178C2×C4⋊C4C22×D6111yescharacteristic
1179C2×C4⋊C4C22×D6111yescharacteristic
1180C2×C4⋊C4C22×D6111yescharacteristic
1181C2×C4⋊C4C22×D6111yescharacteristic
1182C2×C4⋊C4C22×D6111yescharacteristic
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—618no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—1224no—
1226C2×C22⋊C4—1224no—
1227C2×C22⋊C4—2442no—
1228C2×C22⋊C4—2442no—
1229C2×C22⋊C4C22×D6111yescharacteristic
1230C2×C22⋊C4C22×D6111yescharacteristic
1231C2×C22⋊C4C22×D6111yescharacteristic
1232C2×C22⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4C22×D6111yescharacteristic
1234C2×C22⋊C4C22×D6111yescharacteristic
1235C2×C22⋊C4C22×D6111yescharacteristic
1236C2×C22⋊C4C22×D6111yescharacteristic
1237C2×C22⋊C4C22×D6111yescharacteristic
1238C2×C22⋊C4C22×D6111yescharacteristic
1239C2×C22⋊C4C22×D6111yescharacteristic
1240C2×C22⋊C4C22×D6111yescharacteristic
1241C2×C22⋊C4C22×D6111yescharacteristic
1242C2×C42—611no—
1243C2×C42C22×D6111yescharacteristic
1244#95—611no—
1245#95—611no—
1246#95—611no—
1247#95—611no—
1248#95—611no—
1249#95—611no—
1250#95—611no—
1251#95—611no—
1252#95—611no—
1253#95—611no—
1254#95—611no—
1255#95—611no—
1256#95—611no—
1257#95—611no—
1258#95—611no—
1259#95—611no—
1260#95—611no—
1261#95—611no—
1262#95—611no—
1263#95—611no—
1264#95—611no—
1265#95—611no—
1266#95—611no—
1267#95—611no—
1268#95—611no—
1269#95—611no—
1270#95C22×D6111yescharacteristic
1271#95C22×D6111yescharacteristic
1272#95C22×D6111yescharacteristic
1273#95C22×D6111yescharacteristic
1274#95C22×D6111yescharacteristic
1275#95C22×D6111yescharacteristic
1276C24—611no—
1277C24—611no—
1278C24—611no—
1279C24—614no—
1280C24—611no—
1281C24—1222no—
1282C24—1222no—
1283C24—1222no—
1284C24—1222no—
1285C24—1222no—
1286C24—1222no—
1287C24—1222no—
1288C24—2441no—
1289C24—2441no—
1290C24—2441no—
1291C24—2441no—
1292C24—2441no—
1293C24—2441no—
1294C24C23×D6111yescharacteristic
1295C24C23×D6111yescharacteristic
1296C24C23×D6111yescharacteristic
1297C2×Q8—22no—
1298C2×Q8—41no—
1299C2×Q8—41no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—1222no—
1310C2×D4—1222no—
1311C2×D4—1222no—
1312C2×D4—1222no—
1313C2×D4—1222no—
1314C2×D4—1222no—
1315C2×D4—1222no—
1316C2×D4—1222no—
1317C2×D4—1222no—
1318C2×D4—1222no—
1319C2×D4—1222no—
1320C2×D4—1222no—
1321C2×D4—1222no—
1322C2×D4—1222no—
1323C2×D4—1222no—
1324C2×D4—1222no—
1325C2×D4—1222no—
1326C2×D4—1222no—
1327C2×D4—1222no—
1328C2×D4—2441no—
1329C2×D4—2441no—
1330C2×D4—2441no—
1331C2×D4—2441no—
1332C2×D4—2441no—
1333C2×D4—2441no—
1334C2×D4—2441no—
1335C2×D4—2441no—
1336C2×D4—2441no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4—2441no—
1340C2×D4—2441no—
1341C2×D4—2441no—
1342C2×D4—2441no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—24416no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—614no—
1355C22×C4—614no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—1222no—
1367C22×C4—1222no—
1368C22×C4—1222no—
1369C22×C4—1222no—
1370C22×C4—1222no—
1371C22×C4—1222no—
1372C22×C4—1222no—
1373C22×C4—1222no—
1374C22×C4—1222no—
1375C22×C4—1222no—
1376C22×C4—1222no—
1377C22×C4—1222no—
1378C22×C4—1222no—
1379C22×C4—2441no—
1380C22×C4—2441no—
1381C22×C4—2441no—
1382C22×C4—2441no—
1383C22×C4—2441no—
1384C22×C4—2441no—
1385C22×C4—2441no—
1386C22×C4—2441no—
1387C22×C4—2441no—
1388C22×C4—2441no—
1389C22×C4—2441no—
1390C22×C4—2441no—
1391C22×C4—2441no—
1392C22×C4—2441no—
1393C22×C4—2441no—
1394C22×C4—2441no—
1395C22×C4—2441no—
1396C22×C4—2441no—
1397C22×C4—24416no—
1398C22×C4—2441no—
1399C22×C4—2441no—
1400C22×C4—2441no—
1401C22×C4—2441no—
1402C22×C4—2441no—
1403C22×C4—2441no—
1404C22×C4C23×D6111yescharacteristic
1405C22×C4C23×D6111yescharacteristic
1406C22×C4C23×D6111yescharacteristic
1407C22×C4C23×D6111yescharacteristic
1408C22×C4C23×D6111yescharacteristic
1409C22×C4C23×D6111yescharacteristic
1410C22×C4C23×D6111yescharacteristic
1411C22×C4C23×D6111yescharacteristic
1412C22×C4C23×D6111yescharacteristic
1413C22×C4C23×D6111yescharacteristic
1414C22×C4C23×D6111yescharacteristic
1415C22×C4C23×D6111yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—1222no—
1426C4⋊C4—1222no—
1427C4⋊C4—1222no—
1428C4⋊C4—1222no—
1429C4⋊C4—1222no—
1430C4⋊C4—1222no—
1431C4⋊C4—1222no—
1432C4⋊C4—1222no—
1433C4⋊C4—1222no—
1434C4⋊C4—1222no—
1435C4⋊C4—1222no—
1436C4⋊C4—1222no—
1437C4⋊C4—2441no—
1438C4⋊C4—2441no—
1439C4⋊C4—2441no—
1440C4⋊C4—2441no—
1441C4⋊C4—2441no—
1442C4⋊C4—2441no—
1443C4⋊C4—2441no—
1444C4⋊C4—2441no—
1445C4⋊C4—2441no—
1446C4⋊C4—2441no—
1447C4⋊C4—2441no—
1448C4⋊C4—2441no—
1449C4⋊C4—2441no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—614no—
1463C22⋊C4—614no—
1464C22⋊C4—614no—
1465C22⋊C4—1222no—
1466C22⋊C4—1222no—
1467C22⋊C4—1222no—
1468C22⋊C4—1222no—
1469C22⋊C4—1222no—
1470C22⋊C4—1222no—
1471C22⋊C4—1222no—
1472C22⋊C4—1222no—
1473C22⋊C4—1222no—
1474C22⋊C4—1222no—
1475C22⋊C4—1222no—
1476C22⋊C4—1222no—
1477C22⋊C4—1222no—
1478C22⋊C4—1222no—
1479C22⋊C4—1222no—
1480C22⋊C4—1222no—
1481C22⋊C4—1222no—
1482C22⋊C4—1222no—
1483C22⋊C4—1222no—
1484C22⋊C4—2441no—
1485C22⋊C4—2441no—
1486C22⋊C4—2441no—
1487C22⋊C4—2441no—
1488C22⋊C4—2441no—
1489C22⋊C4—2441no—
1490C22⋊C4—2441no—
1491C22⋊C4—2441no—
1492C22⋊C4—2441no—
1493C22⋊C4—2441no—
1494C22⋊C4—2441no—
1495C22⋊C4—2441no—
1496C22⋊C4—2441no—
1497C22⋊C4—2441no—
1498C22⋊C4—2441no—
1499C22⋊C4—2441no—
1500C22⋊C4—2441no—
1501C22⋊C4—2441no—
1502C22⋊C4—2441no—
1503C22⋊C4D4×D6114yes—
1504C42—22no—
1505C42—1222no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—612no—
1526C23—612no—
1527C23—612no—
1528C23—612no—
1529C23—612no—
1530C23—1228no—
1531C23—1228no—
1532C23—1221no—
1533C23—1221no—
1534C23—1221no—
1535C23—1221no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—1221no—
1543C23—1221no—
1544C23—1221no—
1545C23—1221no—
1546C23—1221no—
1547C23—1221no—
1548C23—1221no—
1549C23—1221no—
1550C23—1221no—
1551C23—1221no—
1552C23—1221no—
1553C23—1221no—
1554C23—1221no—
1555C23—4882no—
1556C23—4882no—
1557C23—4882no—
1558C23—4882no—
1559C23—2444no—
1560C23—2444no—
1561C23—2444no—
1562C23—2444no—
1563C23—2444no—
1564C23—2444no—
1565C23—2444no—
1566C23—2444no—
1567C23C2×D4×D6112yes—
1568C23#1451982212yes—
1569C23C24×D6111yescharacteristic
1570Q8—82no—
1571D4—44no—
1572D4—82no—
1573D4—82no—
1574D4—4882no—
1575D4—4882no—
1576D4—4882no—
1577D4—4882no—
1578D4—4882no—
1579D4—4882no—
1580D4—4882no—
1581D4—2444no—
1582D4—2444no—
1583D4—2444no—
1584D4—2444no—
1585D4—2444no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—44no—
1621C2×C4—82no—
1622C2×C4—612no—
1623C2×C4—612no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—4882no—
1659C2×C4—4882no—
1660C2×C4—4882no—
1661C2×C4—4882no—
1662C2×C4—4882no—
1663C2×C4—2444no—
1664C2×C4—2444no—
1665C2×C4—2444no—
1666C2×C4—2444no—
1667C2×C4—2444no—
1668C2×C4—2444no—
1669C2×C4—2444no—
1670C2×C4—2444no—
1671C2×C4C2×D4×D6112yes—
1672C2×C4C2×D4×D6112yes—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—614no—
1695C22—1222no—
1696C22—1222no—
1697C22—1222no—
1698C22—1222no—
1699C22—1222no—
1700C22—1222no—
1701C22—1222no—
1702C22—1222no—
1703C22—1222no—
1704C22—1222no—
1705C22—1222no—
1706C22—1222no—
1707C22—4888no—
1708C22—24416no—
1709C22—2441no—
1710C22—2441no—
1711C22—2441no—
1712C22—2441no—
1713C22—2441no—
1714C22—2441no—
1715C22—2441no—
1716C22—2441no—
1717C22—2441no—
1718C22—2441no—
1719C22—2441no—
1720C22—2441no—
1721C22—2441no—
1722C22—2441no—
1723C22—2441no—
1724C22C22×D4×D6111yescharacteristic
1725C22H(5,𝔽2)×D6111yescharacteristic
1726C22H(5,𝔽2)×D6111yescharacteristic
1727C22C2×#1451982211yescharacteristic
1728C222−1+4×D6111yescharacteristic
1729C22#1684059811yescharacteristic
1730C22#1684059911yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—1222no—
1744C4—1222no—
1745C4—2441no—
1746C4—2441no—
1747C4—2441no—
1748C4—2441no—
1749C4—2441no—
1750C4—2441no—
1751C4—2441no—
1752C4—2441no—
1753C4—2441no—
1754C4—2441no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—1224no—
1759C2—4881no—
1760C2—2442no—
1761C2—2442no—
1762C2#537×D6111yescharacteristic
1763C2#2145944711yescharacteristic
1764C2#2145945811yescharacteristic
1765C2#2146000111yescharacteristic
1766C2#2146001111yescharacteristic
1767C2#2146001811yescharacteristic
1768C2#2146002111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2672C2
hypercenter#2672D61
hypocenterC61#36709
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#16840346C2semidirect
2. C2×#123×D61C2semidirect
3. #21454103C2semidirect
4. #21454100C2semidirect
5. #21452357C2semidirect
6. #21452355C2semidirect
7. #21452353C2semidirect
8. #21452351C2semidirect
9. #21452331C2semidirect
10. #21452330C2semidirect
11. #21452326C2semidirect
12. #21452324C2semidirect
13. #21452069C2semidirect
14. #21452066C2semidirect
15. #21452065C2semidirect
16. #21452061C2semidirect
17. #21452060C2semidirect
18. #21452049C2semidirect
19. #21452048C2semidirect
20. #21451631C2semidirect
21. #21451566C2semidirect
22. #21450713C2semidirect
23. #21450704C2semidirect
24. #21450134C2semidirect
25. #21450129C2semidirect
26. #21449212C2semidirect
27. #21449210C2semidirect
28. #21449190C2semidirect
29. #21449188C2semidirect
30. #21448430C2semidirect
31. C61×#2672C2semidirect
35. C2×#14519771C22semidirect
36. C2×#14519770C22semidirect
37. C2×#14519766C22semidirect
42. C2×#14519761C22semidirect
47. C2×#14519759C22semidirect
51. C2×#14519753C22semidirect
55. C2×#14519750C22semidirect
56. C2×#14519750C22semidirect
58. C2×#14519749C22semidirect
59. C2×#14519749C22semidirect
73. #16839704C22semidirect
74. #16839704C22semidirect
75. #16839702C22semidirect
76. #16839702C22semidirect
77. #16839701C22semidirect
78. #16839700C22semidirect
79. #16839698C22semidirect
80. #16839697C22semidirect
81. #16839697C22semidirect
82. #16839696C22semidirect
83. #16839696C22semidirect
84. #16839696C22semidirect
85. #16839695C22semidirect
86. #16839693C22semidirect
87. #16839693C22semidirect
88. #16839691C22semidirect
89. #16839690C22semidirect
90. #16839688C22semidirect
91. #16839687C22semidirect
92. #16839685C22semidirect
93. #16839685C22semidirect
94. #16839685C22semidirect
95. #16839684C22semidirect
96. #16839684C22semidirect
97. #16839684C22semidirect
98. #16839684C22semidirect
99. #16839681C22semidirect
100. #16839680C22semidirect
101. #16839680C22semidirect
103. #16839679C22semidirect
104. #16839678C22semidirect
105. #16839678C22semidirect
108. #16839677C22semidirect
109. #16839677C22semidirect
110. #16839676C22semidirect
115. #16839660C22semidirect
116. #16839657C22semidirect
117. #16839657C22semidirect
118. #16839655C22semidirect
119. #16839653C22semidirect
120. #16839651C22semidirect
122. #16839642C22semidirect
124. #16839641C22semidirect
125. #16839641C22semidirect
129. #16839640C22semidirect
130. #16839640C22semidirect
131. #16839639C22semidirect
132. #16839639C22semidirect
136. #16839638C22semidirect
137. #16839638C22semidirect
138. #16839638C22semidirect
139. #16839638C22semidirect
140. #16839637C22semidirect
141. #16839636C22semidirect
142. #16839636C22semidirect
143. #16839635C22semidirect
144. #16839634C22semidirect
145. #16839634C22semidirect
146. #16839634C22semidirect
151. #16839633C22semidirect
152. #16839633C22semidirect
153. #16839633C22semidirect
154. #16839633C22semidirect
157. #16839622C22semidirect
160. #16839621C22semidirect
161. #16839621C22semidirect
162. #16839620C22semidirect
163. #16839620C22semidirect
164. #16839620C22semidirect
165. #16839620C22semidirect
168. #16839619C22semidirect
169. #16839619C22semidirect
170. #16839619C22semidirect
171. #16839619C22semidirect
174. C2×#124×C61C22semidirect
176. C2×C22⋊Q8×C61C22semidirect
178. C61×#399C22semidirect
179. C61×#396C22semidirect
180. C61×#395C22semidirect
182. C61×#394C22semidirect
183. C61×#394C22semidirect
184. C61×#389C22semidirect
185. C61×#388C22semidirect
186. C61×#386C22semidirect
187. C61×#385C22semidirect
188. C61×#380C22semidirect
324. C22⋊C4×D61D4semidirect
886. #2672D61semidirect
922. C2×#124C2×D61semidirect
938. C2×C22⋊Q8C2×D61semidirect
970. #399C2×D61semidirect
988. #396C2×D61semidirect
990. #395C2×D61semidirect
1003. #394C2×D61semidirect
1004. #394C2×D61semidirect
1012. #389C2×D61semidirect
1016. #388C2×D61semidirect
1036. #386C2×D61semidirect
1052. #385C2×D61semidirect
1070. #380C2×D61semidirect
1073. C61#36709semidirect

Maximal subgroups

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

subgroupindex
C2×#168403462
C2×#123×D612
#214541032
#214541002
#214523572
#214523552
#214523532
#214523512
#214523312
#214523302
#214523262
#214523242
#214520692
#214520662
#214520652
#214520612
#214520602
#214520492
#214520482
#214516312
#214515662
#214507132
#214507042
#214501342
#214501292
#214492122
#214492102
#214491902
#214491882
#214484302
C61×#26722
#3670961