Finite Group Databasebeta

← #29848687

Subgroups — #29848687

Order 15616.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840270C211yesmaximal, characteristic, complemented
2C2×#16840230C211yesmaximal, characteristic, complemented
3#21450014C211yesmaximal, characteristic, complemented
4#21450007C211yesmaximal, characteristic, complemented
5#21449915C211yesmaximal, characteristic, complemented
6#21449838C211yesmaximal, characteristic, complemented
7#21449831C211yesmaximal, characteristic, complemented
8#21449737C211yesmaximal, characteristic, complemented
9#21449730C211yesmaximal, characteristic, complemented
10#21449638C211yesmaximal, characteristic, complemented
11#21449572C211yesmaximal, characteristic, complemented
12#21449494C211yesmaximal, characteristic, complemented
13#21449426C211yesmaximal, characteristic, complemented
14#21449358C211yesmaximal, characteristic, complemented
15#21449284C211yesmaximal, characteristic, complemented
16#21449201C211yesmaximal, characteristic, complemented
17#21449136C211yesmaximal, characteristic, complemented
18#21449104C211yesmaximal, characteristic, complemented
19#21449088C211yesmaximal, characteristic, complemented
20#21449064C211yesmaximal, characteristic, complemented
21#21449031C211yesmaximal, characteristic, complemented
22#21448346C211yesmaximal, characteristic, complemented
23#21448340C211yesmaximal, characteristic, complemented
24#21448335C211yesmaximal, characteristic, complemented
25#21448329C211yesmaximal, characteristic, complemented
26#21448324C211yesmaximal, characteristic, complemented
27#21448306C211yesmaximal, characteristic, complemented
28#21448259C211yesmaximal, characteristic, complemented
29#21448257C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D61C211yesmaximal, characteristic, complemented
31C61×#2471C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C22×#11758224C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840270—28no—
36C2×#14519762C2211yescharacteristic
37C2×#14519760C2211yescharacteristic
38C2×#14519759C2211yescharacteristic
39C2×#14519755C2211yescharacteristic
40C2×#14519755C2211yescharacteristic
41C2×#14519750C2211yescharacteristic
42C2×#14519750C2211yescharacteristic
43C2×#14519749C2211yescharacteristic
44C2×#14519748C2211yescharacteristic
45C2×#14519747C2211yescharacteristic
46C2×#14519745C2211yescharacteristic
47C2×#14519745C2211yescharacteristic
48#16840230—28no—
49C2×#14519742C2211yescharacteristic, complemented
50C2×#14519742C2211yescharacteristic, complemented
51C2×D4×Dic61C2211yescharacteristic
52C2×D4×Dic61C2211yescharacteristic, complemented
53C2×#14519739C2211yescharacteristic
54C2×#14519739C2211yescharacteristic
55C2×#14519739C2211yescharacteristic
56C2×#14519737C2211yescharacteristic
57C2×#14519737C2211yescharacteristic
58C2×#14519737C2211yescharacteristic
59C2×#14519737C2211yescharacteristic
60C2×#14519737C2211yescharacteristic
61C2×#14519737C2211yescharacteristic, complemented
62C2×#14519737C2211yescharacteristic, complemented
63C2×#14519735C2211yescharacteristic, complemented
64C2×#14519734C2211yescharacteristic
65C2×#14519734C2211yescharacteristic, complemented
66C2×#14519733C2211yescharacteristic
67C2×C22⋊C4×D61C2211yescharacteristic
68C2×C22⋊C4×D61C2211yescharacteristic
69C22×C4×Dic61C2211yescharacteristic, complemented
70C2×C42×D61C2211yescharacteristic
71C2×C42×D61C2211yescharacteristic
72C2×C42×D61C2211yescharacteristic, complemented
73#16839703C2211yescharacteristic, complemented
74#16839703C2211yescharacteristic, complemented
75#16839700C2211yescharacteristic, complemented
76#16839695C2211yescharacteristic, complemented
77#16839693C2211yescharacteristic, complemented
78#16839693C2211yescharacteristic, complemented
79#16839691C2211yescharacteristic, complemented
80#16839688C2211yescharacteristic
81#16839685C2211yescharacteristic
82#16839685C2211yescharacteristic
83#16839684C2211yescharacteristic
84#16839683C2211yescharacteristic, complemented
85#16839683C2211yescharacteristic, complemented
86#16839679C2211yescharacteristic
87#16839678C2211yescharacteristic
88#16839678C2211yescharacteristic
89#16839678C2211yescharacteristic, complemented
90#16839678C2211yescharacteristic, complemented
91#16839677C2211yescharacteristic
92#16839677C2211yescharacteristic
93#16839676C2211yescharacteristic
94#16839675C2211yescharacteristic
95#16839674C2211yescharacteristic
96#16839674C2211yescharacteristic, complemented
97#16839674C2211yescharacteristic, complemented
98#16839671C2211yescharacteristic
99#16839670C2211yescharacteristic
100#16839670C2211yescharacteristic, complemented
101#16839668C2211yescharacteristic, complemented
102#16839667C2211yescharacteristic, complemented
103#16839665C2211yescharacteristic
104#16839662C2211yescharacteristic
105#16839660C2211yescharacteristic, complemented
106#16839659C2211yescharacteristic, complemented
107#16839656C2211yescharacteristic
108#16839656C2211yescharacteristic, complemented
109#16839656C2211yescharacteristic, complemented
110#16839654C2211yescharacteristic
111#16839654C2211yescharacteristic
112#16839653C2211yescharacteristic
113#16839653C2211yescharacteristic, complemented
114#16839651C2211yescharacteristic, complemented
115#16839650C2211yescharacteristic
116#16839650C2211yescharacteristic, complemented
117#16839650C2211yescharacteristic, complemented
118#16839648C2211yescharacteristic, complemented
119#16839647C2211yescharacteristic, complemented
120#16839647C2211yescharacteristic, complemented
121#16839646C2211yescharacteristic, complemented
122#16839645C2211yescharacteristic, complemented
123#16839643C2211yescharacteristic, complemented
124#16839642C2211yescharacteristic
125#16839641C2211yescharacteristic
126#16839640C2211yescharacteristic
127#16839640C2211yescharacteristic
128#16839640C2211yescharacteristic
129#16839638C2211yescharacteristic
130#16839638C2211yescharacteristic
131#16839638C2211yescharacteristic
132#16839638C2211yescharacteristic
133#16839638C2211yescharacteristic
134#16839638C2211yescharacteristic
135#16839638C2211yescharacteristic
136#16839638C2211yescharacteristic, complemented
137#16839638C2211yescharacteristic, complemented
138#16839636C2211yescharacteristic
139#16839636C2211yescharacteristic
140#16839636C2211yescharacteristic
141#16839636C2211yescharacteristic, complemented
142#16839635C2211yescharacteristic
143#16839635C2211yescharacteristic, complemented
144#16839634C2211yescharacteristic, complemented
145#16839633C2211yescharacteristic
146#16839633C2211yescharacteristic
147#16839624C2211yescharacteristic
148#16839624C2211yescharacteristic, complemented
149#16839620C2211yescharacteristic, complemented
150#16839619C2211yescharacteristic
151#16839617C2211yescharacteristic
152C4⋊C4×Dic61C2211yescharacteristic, complemented
153C4⋊C4×Dic61C2211yescharacteristic, complemented
154#16839613C2211yescharacteristic, complemented
155#16839613C2211yescharacteristic, complemented
156C22⋊C4×Dic61C2211yescharacteristic
157C22⋊C4×Dic61C2211yescharacteristic
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic, complemented
160C22⋊C4×Dic61C2211yescharacteristic, complemented
161C22⋊C4×Dic61C2211yescharacteristic, complemented
162C22⋊C4×Dic61C2211yescharacteristic, complemented
163C4×#11758198C2211yescharacteristic
164C4×#11758198C2211yescharacteristic
165C4×C22⋊Dic61C2211yescharacteristic
166#16839609C2211yescharacteristic
167#16839609C2211yescharacteristic
168#16839609C2211yescharacteristic
169#16839609C2211yescharacteristic
170#16839609C2211yescharacteristic, complemented
171#16839607C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic
173#95×D61C2211yescharacteristic
174C2×#123×C61C2211yescharacteristic
175C2×#117×C61C2211yescharacteristic, complemented
176C61×#399C2211yescharacteristic
177C61×#397C2211yescharacteristic, complemented
178C61×#396C2211yescharacteristic, complemented
179C61×#392C2211yescharacteristic
180C61×#390C2211yescharacteristic
181C61×#390C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic, complemented
183C61×#387C2211yescharacteristic, complemented
184C61×#387C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic
186C61×#386C2211yescharacteristic
187C61×#386C2211yescharacteristic, complemented
188C4×C22⋊C4×C61C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C2×#11758222—24no—
191C2×#11758222—24no—
192C2×#11758222—24no—
193C2×#11758224—24no—
194C2×#11758224—24no—
195C2×#11758224—42no—
196C22×Dic122C2311yescharacteristic
197C22×Dic122C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C22×C4×D61—24no—
212C22×C4×D61—24no—
213C22×C4×D61—42no—
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225#14519762—24no—
226#14519760—24no—
227#14519759—24no—
228#14519755—24no—
229#14519755—24no—
230#14519750—24no—
231#14519750—24no—
232#14519749—24no—
233#14519748—24no—
234#14519747—24no—
235#14519745—24no—
236#14519745—24no—
237#14519742—24no—
238#14519742—24no—
239D4×Dic61—24no—
240D4×Dic61—42no—
241#14519739—24no—
242#14519739—24no—
243#14519739D418yescomplemented
244#14519737—24no—
245#14519737—24no—
246#14519737—24no—
247#14519737—24no—
248#14519737—24no—
249#14519737—24no—
250#14519737—42no—
251#14519735—42no—
252#14519734—24no—
253#14519734—24no—
254#14519733—24no—
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
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×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
306C22⋊C4×D61—24no—
307C22⋊C4×D61—24no—
308C2×C4×Dic61—24no—
309C2×C4×Dic61C2311yescharacteristic
310C2×C4×Dic61C2311yescharacteristic
311C2×C4×Dic61C2311yescharacteristic
312C2×C4×Dic61C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
314C2×C4×Dic61C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
316C2×C4×Dic61C2311yescharacteristic
317C2×C4×Dic61C2311yescharacteristic
318C2×C4×Dic61C2311yescharacteristic
319C2×C4×Dic61C2311yescharacteristic
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C42×D61—24no—
324C42×D61—24no—
325C42×D61—42no—
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
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C23×C4×C61C2311yescharacteristic
359#123×C61—24no—
360#117×C61—24no—
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C42×C61C2311yescharacteristic
381C2×C42×C61C2311yescharacteristic
382C2×C42×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—22no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C2×D4×C61—22no—
405C2×D4×C61—22no—
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—41no—
411C2×D4×C61—41no—
412C2×D4×C61—41no—
413C22×C4×C61—22no—
414C22×C4×C61—22no—
415C22×C4×C61—22no—
416C22×C4×C61—22no—
417C22×C4×C61—22no—
418C22×C4×C61—41no—
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C2×C22⋊D61—22no—
432C2×C22⋊D61—22no—
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—22no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61#4114yescomplemented
452C22×Dic61—22no—
453C22×Dic61—22no—
454C22×Dic61—22no—
455C22×Dic61—22no—
456C22×Dic61—22no—
457C22×Dic61—22no—
458C22×Dic61—22no—
459C22×Dic61—22no—
460C22×Dic61—22no—
461C22×Dic61—22no—
462C22×Dic61—41no—
463C22×Dic61#4114yescomplemented
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477#11758224—416no—
478#11758222—232no—
479C2×D244—22no—
480C2×D244—22no—
481C2×D244—22no—
482C2×D244—22no—
483C2×D244—41no—
484C2×D244C2×D414yes—
485C2×C4×D61—22no—
486C2×C4×D61—22no—
487C2×C4×D61—22no—
488C2×C4×D61—22no—
489C2×C4×D61—22no—
490C2×C4×D61—22no—
491C2×C4×D61—22no—
492C2×C4×D61—22no—
493C2×C4×D61—22no—
494C2×C4×D61—22no—
495C2×C4×D61—22no—
496C2×C4×D61—22no—
497C2×C4×D61—22no—
498C2×C4×D61—22no—
499C2×C4×D61—22no—
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—416no—
509C2×C4×D61—41no—
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×D61C2×D414yes—
517C2×C4×D61C2×D414yes—
518C2×C4×D61#4114yescomplemented
519C2×Dic122—22no—
520C2×Dic122—22no—
521C2×Dic122—22no—
522C2×Dic122—22no—
523C2×Dic122—22no—
524C2×Dic122—41no—
525C4⋊C4×C61—22no—
526C4⋊C4×C61—22no—
527C4⋊C4×C61—22no—
528C4⋊C4×C61—41no—
529C4⋊C4×C61—41no—
530C4⋊C4×C61C2×D414yes—
531C22⋊C4×C61—22no—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—22no—
534C22⋊C4×C61—22no—
535C22⋊C4×C61—22no—
536C22⋊C4×C61—22no—
537C22⋊C4×C61—22no—
538C22⋊C4×C61—22no—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊C4×C61—41no—
542C22⋊C4×C61—41no—
543C22⋊C4×C61—41no—
544C42×C61—22no—
545C42×C61—22no—
546C42×C61—41no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—22no—
550C22⋊Dic61—22no—
551C22⋊Dic61—22no—
552C22⋊Dic61—22no—
553C22⋊Dic61—22no—
554C22⋊Dic61—22no—
555C22⋊Dic61—22no—
556C22⋊Dic61—22no—
557C22⋊Dic61—41no—
558C22⋊Dic61—41no—
559#11758198—22no—
560#11758198—22no—
561#11758198—22no—
562#11758198—22no—
563#11758198—22no—
564#11758198—22no—
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—41no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198C2×D414yes—
578#11758198C2×D414yes—
579#11758198#4114yescomplemented
580C4⋊Dic61—22no—
581C4⋊Dic61—22no—
582C4⋊Dic61—22no—
583C4⋊Dic61—41no—
584C4⋊Dic61—41no—
585#11758196—22no—
586#11758196—22no—
587#11758196—22no—
588#11758196—22no—
589#11758196—22no—
590#11758196—22no—
591#11758196—22no—
592#11758196—22no—
593#11758196—22no—
594#11758196—22no—
595#11758196—22no—
596#11758196—41no—
597#11758196—41no—
598C4×Dic61—22no—
599C4×Dic61—22no—
600C4×Dic61—22no—
601C4×Dic61—22no—
602C4×Dic61—22no—
603C4×Dic61—22no—
604C4×Dic61—22no—
605C4×Dic61—22no—
606C4×Dic61—22no—
607C4×Dic61—22no—
608C4×Dic61—22no—
609C4×Dic61—22no—
610C4×Dic61—41no—
611C4×Dic61C2×D414yes—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
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×C61C2×#4112yes—
632C23×C61C2×#4112yes—
633C23×C61C2511yescharacteristic
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—28no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—21no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—44no—
652C22×D61—44no—
653C22×D61—44no—
654C22×D61—44no—
655C22×D61—44no—
656C22×D61—44no—
657C22×D61C22×D412yes—
658C22×D61C22×D412yes—
659C22×D61C2×#4112yes—
660C22×D61C2×#4112yes—
661C22×D61C2×#4112yes—
662D4×C61—44no—
663D4×C61—44no—
664D4×C61—44no—
665C2×C4×C61—28no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
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—44no—
698C2×C4×C61C22×D412yes—
699C2×C4×C61C22×D412yes—
700C2×C4×C61C22×D412yes—
701C2×C4×C61C2×#4112yes—
702C2×C4×C61C2×#4112yes—
703C22⋊D61—28no—
704C22⋊D61—28no—
705C22⋊D61—44no—
706C22⋊D61—44no—
707C22⋊D61—44no—
708C22⋊D61—44no—
709C22⋊D61—44no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—28no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—44no—
743C2×Dic61—44no—
744C2×Dic61—44no—
745C2×Dic61C22×D412yes—
746C2×Dic61C22×D412yes—
747C2×Dic61C2×#4112yes—
748C2×Dic61C2×#4112yes—
749C2×Dic61C2×#4112yes—
750C2×Dic61C2×#4112yes—
751C2×Dic61C2×#4112yes—
752C2×Dic61H(5,𝔽2)12yes—
753D244—28no—
754D244—44no—
755C4×D61—28no—
756C4×D61—28no—
757C4×D61—28no—
758C4×D61—28no—
759C4×D61—44no—
760C4×D61—44no—
761C4×D61—44no—
762C4×D61—44no—
763C4×D61—44no—
764C4×D61—44no—
765C4×D61—44no—
766Dic122—28no—
767Dic122—44no—
768#34732—611nomaximal, Sylow
769C22×C61—22no—
770C22×C61—22no—
771C22×C61—22no—
772C22×C61—22no—
773C22×C61—22no—
774C22×C61—22no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61—41no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61C23×D411yescharacteristic
791C22×C61C22×#4111yescharacteristic
792C22×C61C22×#4111yescharacteristic
793C22×C61C22×#4111yescharacteristic
794C22×C61C22×#4111yescharacteristic
795C22×C61C2×H(5,𝔽2)11yescharacteristic
796C22×C61#58511yescharacteristic
797C2×D61—22no—
798C2×D61—22no—
799C2×D61—22no—
800C2×D61—22no—
801C2×D61—22no—
802C2×D61—22no—
803C2×D61—22no—
804C2×D61—22no—
805C2×D61—22no—
806C2×D61—22no—
807C2×D61—22no—
808C2×D61—22no—
809C2×D61—416no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—41no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61#52514yes—
819C4×C61—22no—
820C4×C61—22no—
821C4×C61—22no—
822C4×C61—22no—
823C4×C61—22no—
824C4×C61—41no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831Dic61—22no—
832Dic61—22no—
833Dic61—22no—
834Dic61—22no—
835Dic61—22no—
836Dic61—41no—
837Dic61—41no—
838Dic61—41no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61#54614yes—
844C2×#525—611no—
845C2×C4×#41—611no—
846#2477—611no—
847#2476—611no—
848#2471D6111yescharacteristic, complemented
849#2470—611no—
850#2465—611no—
851#2464—611no—
852#2458—611no—
853#2457—611no—
854#2450—611no—
855#2444—611no—
856#2438—611no—
857#2430—611no—
858#2424—611no—
859#2418—611no—
860#2411—611no—
861#2404—611no—
862#2398—611no—
863#2396—611no—
864#2392—611no—
865#2388—611no—
866C4×#123—611no—
867C4×#123—611no—
868C4×#121—611no—
869C4×#121—611no—
870C4×#120—611no—
871#2297—611no—
872#2290—611no—
873#2290—611no—
874C2×C4×C22⋊C4—611no—
875C2×C61—42no—
876C2×C61—42no—
877C2×C61—81no—
878C2×C61C2×#52511yescharacteristic
879C2×C61#344411yescharacteristic
880C2×C61#346011yescharacteristic
881C2×C61C2×#54611yescharacteristic
882C2×C61D4×#4111yescharacteristic
883C2×C61#347511yescharacteristic
884C2×C61#348111yescharacteristic
885D61—24no—
886D61—42no—
887D61—42no—
888C22×#41—611no—
889C22×#41—611no—
890C24×C4—611no—
891#525—1228no—
892C2×#123—611no—
893C2×#123—611no—
894C2×#123—611no—
895C2×#123C2×D6111yescharacteristic
896C2×C22⋊Q8—611no—
897C2×C22⋊Q8—611no—
898C2×#121—611no—
899C2×#121—611no—
900C2×#121—611no—
901C2×#121—611no—
902C2×#120—611no—
903C2×#120—611no—
904C2×#120—611no—
905C4×#41—1228no—
906C2×C4×Q8—611no—
907C2×C4×Q8—611no—
908C2×C4×D4—611no—
909C2×C4×D4—611no—
910C2×C4×D4—611no—
911C2×C4×D4—611no—
912C2×C4×D4—611no—
913C2×C4×D4—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—611no—
917C2×C4×D4—611no—
918C2×C4×D4—611no—
919C2×C4×D4—611no—
920C2×#117—611no—
921C2×#117—611no—
922C2×#117—611no—
923C2×#117—611no—
924C2×#117C2×D6111yescharacteristic, complemented
925C22×C22⋊C4—611no—
926C22×C22⋊C4—611no—
927C22×C42—611no—
928C22×C42—611no—
929C22×C42—611no—
930C22×C42—611no—
931#400—611no—
932#400—611no—
933#400—611no—
934#399C2×D6111yescharacteristic
935#398—611no—
936#398—611no—
937#398—611no—
938#397—611no—
939#397—611no—
940#397C2×D6111yescharacteristic, complemented
941#396—611no—
942#396—611no—
943#396—611no—
944#396C2×D6111yescharacteristic, complemented
945#395—611no—
946#395—611no—
947#394—611no—
948#394—611no—
949#394—611no—
950#394—611no—
951#394—611no—
952#394—611no—
953#394—611no—
954#394—611no—
955#393—611no—
956#393—611no—
957#393—611no—
958#393—611no—
959#392—611no—
960#392—611no—
961#392—611no—
962#392C2×D6111yescharacteristic
963#391—611no—
964#391—611no—
965#390—611no—
966#390—611no—
967#390C2×D6111yescharacteristic
968#390C2×D6111yescharacteristic, complemented
969#389—611no—
970#389—611no—
971#388—611no—
972#388—611no—
973#388—611no—
974#388—611no—
975#388—611no—
976#388—611no—
977#388—611no—
978#388—611no—
979#388—611no—
980#388—611no—
981#388—611no—
982#388C2×D6111yescharacteristic, complemented
983#387—611no—
984#387—611no—
985#387—611no—
986#387—611no—
987#387—611no—
988#387—611no—
989#387C2×D6111yescharacteristic, complemented
990#387C2×D6111yescharacteristic, complemented
991#386—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#386—611no—
997#386—611no—
998#386—611no—
999#386—611no—
1000#386—611no—
1001#386—611no—
1002#386—611no—
1003#386—611no—
1004#386—611no—
1005#386C2×D6111yescharacteristic
1006#386C2×D6111yescharacteristic
1007#386C2×D6111yescharacteristic, complemented
1008#385—611no—
1009#385—611no—
1010#385—611no—
1011#385—611no—
1012#385—611no—
1013#385—611no—
1014#385—611no—
1015#385—611no—
1016#385—611no—
1017#381—611no—
1018#381—611no—
1019#380—611no—
1020#380—611no—
1021#379—611no—
1022C4×C4⋊C4—611no—
1023C4×C4⋊C4—611no—
1024C4×C4⋊C4—611no—
1025C4×C4⋊C4—611no—
1026C4×C22⋊C4—611no—
1027C4×C22⋊C4—611no—
1028C4×C22⋊C4—611no—
1029C4×C22⋊C4—611no—
1030C4×C22⋊C4—611no—
1031C4×C22⋊C4—611no—
1032C4×C22⋊C4—611no—
1033C4×C22⋊C4—611no—
1034C4×C22⋊C4—611no—
1035C4×C22⋊C4—611no—
1036C4×C22⋊C4—611no—
1037C4×C22⋊C4—611no—
1038C4×C22⋊C4—611no—
1039C4×C22⋊C4—611no—
1040C4×C22⋊C4—611no—
1041C4×C22⋊C4C2×D6111yescharacteristic
1042#376—611no—
1043C2×#95—611no—
1044C2×#95—611no—
1045C61#3473211yescharacteristic, complemented, Sylow
1046C25—611no—
1047C2×#41—1224no—
1048C2×#41—1224no—
1049C2×#41—1224no—
1050C2×#41—1224no—
1051C2×#41—1224no—
1052C2×#41—2442no—
1053C22×Q8—611no—
1054C22×Q8—611no—
1055C22×D4—611no—
1056C22×D4—611no—
1057C22×D4—611no—
1058C22×D4—611no—
1059C22×D4—611no—
1060C22×D4—611no—
1061C22×D4—611no—
1062C22×D4—611no—
1063C22×D4—611no—
1064C22×D4C22×D6111yescharacteristic
1065C22×D4C22×D6111yescharacteristic
1066C22×D4C22×D6111yescharacteristic
1067C23×C4—611no—
1068C23×C4—611no—
1069C23×C4—611no—
1070C23×C4—611no—
1071C23×C4—611no—
1072C23×C4—611no—
1073C23×C4—611no—
1074C23×C4—611no—
1075C23×C4—611no—
1076C23×C4—611no—
1077C23×C4—611no—
1078C23×C4—611no—
1079C23×C4—611no—
1080C23×C4—611no—
1081C23×C4—611no—
1082C23×C4—1224no—
1083C23×C4—1224no—
1084C23×C4—2442no—
1085C23×C4C22×D6111yescharacteristic
1086C23×C4C22×D6111yescharacteristic
1087#123—24no—
1088#123—1224no—
1089#123—1224no—
1090#123—1224no—
1091C22⋊Q8—1224no—
1092C22⋊Q8—1224no—
1093#121—1224no—
1094#121—1224no—
1095#121—1224no—
1096#121—1224no—
1097#120—1224no—
1098#120—1224no—
1099#120—1224no—
1100C4×Q8—1224no—
1101C4×Q8—1224no—
1102C4×D4—618no—
1103C4×D4—1224no—
1104C4×D4—1224no—
1105C4×D4—1224no—
1106C4×D4—1224no—
1107C4×D4—1224no—
1108C4×D4—1224no—
1109C4×D4—1224no—
1110C4×D4—1224no—
1111C4×D4—1224no—
1112C4×D4—2442no—
1113C4×D4—2442no—
1114#117—24no—
1115#117—1224no—
1116#117—1224no—
1117#117—1224no—
1118#117—2442no—
1119C2×C4⋊C4—611no—
1120C2×C4⋊C4—611no—
1121C2×C4⋊C4—611no—
1122C2×C4⋊C4—611no—
1123C2×C4⋊C4—611no—
1124C2×C4⋊C4—611no—
1125C2×C4⋊C4—611no—
1126C2×C4⋊C4—611no—
1127C2×C4⋊C4—611no—
1128C2×C4⋊C4—611no—
1129C2×C4⋊C4—611no—
1130C2×C4⋊C4—611no—
1131C2×C4⋊C4—611no—
1132C2×C4⋊C4—611no—
1133C2×C4⋊C4—611no—
1134C2×C4⋊C4—611no—
1135C2×C4⋊C4—611no—
1136C2×C4⋊C4—611no—
1137C2×C4⋊C4C22×D6111yescharacteristic
1138C2×C4⋊C4C22×D6111yescharacteristic
1139C2×C4⋊C4C22×D6111yescharacteristic
1140C2×C4⋊C4C22×D6111yescharacteristic
1141C2×C4⋊C4C22×D6111yescharacteristic
1142C2×C4⋊C4C22×D6111yescharacteristic
1143C2×C22⋊C4—611no—
1144C2×C22⋊C4—611no—
1145C2×C22⋊C4—611no—
1146C2×C22⋊C4—611no—
1147C2×C22⋊C4—611no—
1148C2×C22⋊C4—611no—
1149C2×C22⋊C4—611no—
1150C2×C22⋊C4—611no—
1151C2×C22⋊C4—611no—
1152C2×C22⋊C4—611no—
1153C2×C22⋊C4—611no—
1154C2×C22⋊C4—611no—
1155C2×C22⋊C4—611no—
1156C2×C22⋊C4—611no—
1157C2×C22⋊C4—611no—
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—1224no—
1177C2×C22⋊C4—1224no—
1178C2×C22⋊C4C22×D6111yescharacteristic
1179C2×C22⋊C4C22×D6111yescharacteristic
1180C2×C22⋊C4C22×D6111yescharacteristic
1181C2×C22⋊C4C22×D6111yescharacteristic
1182C2×C22⋊C4C22×D6111yescharacteristic
1183C2×C22⋊C4C22×D6111yescharacteristic
1184C2×C22⋊C4C22×D6111yescharacteristic
1185C2×C22⋊C4C22×D6111yescharacteristic
1186C2×C22⋊C4C22×D6111yescharacteristic
1187C2×C22⋊C4C22×D6111yescharacteristic
1188C2×C22⋊C4C22×D6111yescharacteristic
1189C2×C22⋊C4C22×D6111yescharacteristic
1190C2×C22⋊C4C22×D6111yescharacteristic
1191C2×C42—611no—
1192C2×C42—611no—
1193C2×C42—611no—
1194C2×C42—611no—
1195C2×C42—611no—
1196C2×C42—611no—
1197C2×C42—611no—
1198C2×C42—611no—
1199C2×C42—611no—
1200C2×C42—611no—
1201C2×C42—611no—
1202C2×C42—611no—
1203C2×C42—611no—
1204C2×C42—611no—
1205C2×C42—1224no—
1206C2×C42—1224no—
1207C2×C42—1224no—
1208C2×C42—2442no—
1209C2×C42C22×D6111yescharacteristic
1210C2×C42C22×D6111yescharacteristic
1211C2×C42C22×D6111yescharacteristic
1212#95—611no—
1213#95—611no—
1214#95—611no—
1215#95—611no—
1216#95—611no—
1217#95—611no—
1218#95—611no—
1219#95—611no—
1220#95—611no—
1221#95—611no—
1222#95—611no—
1223#95—611no—
1224#95—611no—
1225#95—611no—
1226#95—611no—
1227#95—611no—
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#95—611no—
1234#95—611no—
1235#95—611no—
1236#95—611no—
1237#95—611no—
1238#95—611no—
1239#95—611no—
1240#95C22×D6111yescharacteristic
1241#95C22×D6111yescharacteristic
1242#95C22×D6111yescharacteristic
1243#95C22×D6111yescharacteristic
1244#95C22×D6111yescharacteristic
1245#95C22×D6111yescharacteristic
1246#95C22×D6111yescharacteristic
1247#95C22×D6111yescharacteristic
1248C24—611no—
1249C24—611no—
1250C24—611no—
1251C24—1222no—
1252C24—1222no—
1253C24—1222no—
1254C24—1222no—
1255C24—1222no—
1256C24—2441no—
1257C24—2441no—
1258C24C23×D6111yescharacteristic
1259C24C23×D6111yescharacteristic
1260C24C23×D6111yescharacteristic
1261#41—12232no—
1262#41—24416no—
1263C2×Q8—1222no—
1264C2×Q8—1222no—
1265C2×Q8—1222no—
1266C2×Q8—1222no—
1267C2×Q8—1222no—
1268C2×Q8—2441no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—614no—
1279C2×D4—614no—
1280C2×D4—1222no—
1281C2×D4—1222no—
1282C2×D4—1222no—
1283C2×D4—1222no—
1284C2×D4—1222no—
1285C2×D4—1222no—
1286C2×D4—1222no—
1287C2×D4—1222no—
1288C2×D4—1222no—
1289C2×D4—1222no—
1290C2×D4—1222no—
1291C2×D4—1222no—
1292C2×D4—1222no—
1293C2×D4—1222no—
1294C2×D4—1222no—
1295C2×D4—1222no—
1296C2×D4—1222no—
1297C2×D4—1222no—
1298C2×D4—1222no—
1299C2×D4—1222no—
1300C2×D4—2441no—
1301C2×D4—2441no—
1302C2×D4—2441no—
1303C2×D4—2441no—
1304C2×D4—2441no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—611no—
1312C22×C4—614no—
1313C22×C4—611no—
1314C22×C4—611no—
1315C22×C4—611no—
1316C22×C4—611no—
1317C22×C4—611no—
1318C22×C4—614no—
1319C22×C4—614no—
1320C22×C4—614no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—611no—
1325C22×C4—611no—
1326C22×C4—611no—
1327C22×C4—611no—
1328C22×C4—1222no—
1329C22×C4—1222no—
1330C22×C4—1222no—
1331C22×C4—1222no—
1332C22×C4—1222no—
1333C22×C4—1222no—
1334C22×C4—1222no—
1335C22×C4—1222no—
1336C22×C4—1222no—
1337C22×C4—1222no—
1338C22×C4—1222no—
1339C22×C4—1222no—
1340C22×C4—1222no—
1341C22×C4—1222no—
1342C22×C4—1222no—
1343C22×C4—1222no—
1344C22×C4—1222no—
1345C22×C4—1222no—
1346C22×C4—1222no—
1347C22×C4—1222no—
1348C22×C4—1222no—
1349C22×C4—1222no—
1350C22×C4—1222no—
1351C22×C4—1222no—
1352C22×C4—1222no—
1353C22×C4—1222no—
1354C22×C4—1222no—
1355C22×C4—1222no—
1356C22×C4—1222no—
1357C22×C4—1222no—
1358C22×C4—1222no—
1359C22×C4—1222no—
1360C22×C4—1222no—
1361C22×C4—2441no—
1362C22×C4—2441no—
1363C22×C4—2441no—
1364C22×C4—2441no—
1365C22×C4—2441no—
1366C22×C4—2441no—
1367C22×C4—2441no—
1368C22×C4—24416no—
1369C22×C4—2441no—
1370C22×C4C23×D6111yescharacteristic
1371C22×C4C23×D6111yescharacteristic
1372C22×C4C23×D6111yescharacteristic
1373C22×C4C23×D6111yescharacteristic
1374C22×C4C23×D6111yescharacteristic
1375C22×C4C23×D6111yescharacteristic
1376C22×C4C23×D6111yescharacteristic
1377C22×C4C23×D6111yescharacteristic
1378C22×C4C23×D6111yescharacteristic
1379C22×C4C23×D6111yescharacteristic
1380C22×C4C23×D6111yescharacteristic
1381C22×C4C23×D6111yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—1222no—
1388C4⋊C4—1222no—
1389C4⋊C4—1222no—
1390C4⋊C4—1222no—
1391C4⋊C4—1222no—
1392C4⋊C4—1222no—
1393C4⋊C4—1222no—
1394C4⋊C4—1222no—
1395C4⋊C4—1222no—
1396C4⋊C4—1222no—
1397C4⋊C4—1222no—
1398C4⋊C4—1222no—
1399C4⋊C4—1222no—
1400C4⋊C4—1222no—
1401C4⋊C4—2441no—
1402C4⋊C4—2441no—
1403C4⋊C4—2441no—
1404C4⋊C4—2441no—
1405C4⋊C4D4×D6114yes—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—614no—
1420C22⋊C4—614no—
1421C22⋊C4—614no—
1422C22⋊C4—1222no—
1423C22⋊C4—1222no—
1424C22⋊C4—1222no—
1425C22⋊C4—1222no—
1426C22⋊C4—1222no—
1427C22⋊C4—1222no—
1428C22⋊C4—1222no—
1429C22⋊C4—1222no—
1430C22⋊C4—1222no—
1431C22⋊C4—1222no—
1432C22⋊C4—1222no—
1433C22⋊C4—1222no—
1434C22⋊C4—1222no—
1435C22⋊C4—1222no—
1436C22⋊C4—1222no—
1437C22⋊C4—1222no—
1438C22⋊C4—1222no—
1439C22⋊C4—1222no—
1440C22⋊C4—1222no—
1441C22⋊C4—1222no—
1442C22⋊C4—1222no—
1443C22⋊C4—1222no—
1444C22⋊C4—1222no—
1445C22⋊C4—1222no—
1446C22⋊C4—2441no—
1447C22⋊C4—2441no—
1448C22⋊C4—2441no—
1449C22⋊C4—2441no—
1450C22⋊C4—2441no—
1451C22⋊C4—2441no—
1452C42—22no—
1453C42—22no—
1454C42—41no—
1455C42—614no—
1456C42—1222no—
1457C42—1222no—
1458C42—1222no—
1459C42—1222no—
1460C42—1222no—
1461C42—1222no—
1462C42—1222no—
1463C42—1222no—
1464C42—1222no—
1465C42—1222no—
1466C42—1222no—
1467C42—1222no—
1468C42—2441no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—612no—
1489C23—612no—
1490C23—612no—
1491C23—612no—
1492C23—612no—
1493C23—1228no—
1494C23—1221no—
1495C23—1221no—
1496C23—1221no—
1497C23—1221no—
1498C23—1221no—
1499C23—1221no—
1500C23—1221no—
1501C23—1221no—
1502C23—1221no—
1503C23—1221no—
1504C23—1221no—
1505C23—1221no—
1506C23—1221no—
1507C23—1221no—
1508C23—1221no—
1509C23—1221no—
1510C23—2444no—
1511C23—2444no—
1512C23—2444no—
1513C23—2444no—
1514C23—2444no—
1515C23—2444no—
1516C23#41×D6112yes—
1517C23#41×D6112yes—
1518C23C24×D6111yescharacteristic
1519Q8—1228no—
1520Q8—2444no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—1228no—
1525D4—1228no—
1526D4—1228no—
1527D4—2444no—
1528D4—2444no—
1529D4—2444no—
1530D4—2444no—
1531D4—2444no—
1532D4—2444no—
1533C2×C4—28no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—44no—
1566C2×C4—612no—
1567C2×C4—612no—
1568C2×C4—612no—
1569C2×C4—612no—
1570C2×C4—612no—
1571C2×C4—612no—
1572C2×C4—612no—
1573C2×C4—612no—
1574C2×C4—1228no—
1575C2×C4—1228no—
1576C2×C4—1228no—
1577C2×C4—1228no—
1578C2×C4—1228no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—1221no—
1593C2×C4—1221no—
1594C2×C4—1221no—
1595C2×C4—1221no—
1596C2×C4—1221no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—2444no—
1611C2×C4—2444no—
1612C2×C4—2444no—
1613C2×C4—2444no—
1614C2×C4—2444no—
1615C2×C4—2444no—
1616C2×C4—2444no—
1617C2×C4—2444no—
1618C2×C4—2444no—
1619C2×C4—2444no—
1620C2×C4C2×D4×D6112yes—
1621C2×C4C2×D4×D6112yes—
1622C2×C4C2×D4×D6112yes—
1623C2×C4#41×D6112yes—
1624C2×C4#41×D6112yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—614no—
1647C22—1222no—
1648C22—1222no—
1649C22—1222no—
1650C22—1222no—
1651C22—1222no—
1652C22—1222no—
1653C22—1222no—
1654C22—1222no—
1655C22—1222no—
1656C22—1222no—
1657C22—1222no—
1658C22—1222no—
1659C22—24416no—
1660C22—2441no—
1661C22—2441no—
1662C22—2441no—
1663C22—2441no—
1664C22—2441no—
1665C22—2441no—
1666C22—2441no—
1667C22—2441no—
1668C22C22×D4×D6111yescharacteristic
1669C22C2×#41×D6111yescharacteristic
1670C22C2×#41×D6111yescharacteristic
1671C22C2×#41×D6111yescharacteristic
1672C22C2×#41×D6111yescharacteristic
1673C22H(5,𝔽2)×D6111yescharacteristic
1674C22#1684059711yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—614no—
1688C4—1222no—
1689C4—1222no—
1690C4—1222no—
1691C4—1222no—
1692C4—1222no—
1693C4—2441no—
1694C4—2441no—
1695C4—2441no—
1696C4—2441no—
1697C4—2441no—
1698C4—2441no—
1699C4—2441no—
1700C2—42no—
1701C2—42no—
1702C2—81no—
1703C2—1224no—
1704C2—2442no—
1705C2—2442no—
1706C2#525×D6111yescharacteristic
1707C2#2145911311yescharacteristic
1708C2#2145923411yescharacteristic
1709C2#546×D6111yescharacteristic
1710C2#2145930911yescharacteristic
1711C2#2145937411yescharacteristic
1712C2#2145942211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2471C2
hypercenter#2471D61
hypocenterC61#34732
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2471

Complements

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

NH ≅ G/Ntype
1. C2×#16840270C2semidirect
2. C2×#16840230C2semidirect
3. #21450014C2semidirect
4. #21450007C2semidirect
5. #21449915C2semidirect
6. #21449838C2semidirect
7. #21449831C2semidirect
8. #21449737C2semidirect
9. #21449730C2semidirect
10. #21449638C2semidirect
11. #21449572C2semidirect
12. #21449494C2semidirect
13. #21449426C2semidirect
14. #21449358C2semidirect
15. #21449284C2semidirect
16. #21449201C2semidirect
17. #21449136C2semidirect
18. #21449104C2semidirect
19. #21449088C2semidirect
20. #21449064C2semidirect
21. #21449031C2semidirect
22. #21448346C2semidirect
23. #21448340C2semidirect
24. #21448335C2semidirect
25. #21448329C2semidirect
26. #21448324C2semidirect
27. #21448306C2semidirect
28. #21448259C2semidirect
29. #21448257C2semidirect
30. C4×C22⋊C4×D61C2semidirect
31. C61×#2471C2semidirect
49. C2×#14519742C22semidirect
50. C2×#14519742C22semidirect
52. C2×D4×Dic61C22semidirect
61. C2×#14519737C22semidirect
62. C2×#14519737C22semidirect
63. C2×#14519735C22semidirect
65. C2×#14519734C22semidirect
69. C22×C4×Dic61C22semidirect
72. C2×C42×D61C22semidirect
73. #16839703C22semidirect
74. #16839703C22semidirect
75. #16839700C22semidirect
76. #16839695C22semidirect
77. #16839693C22semidirect
78. #16839693C22semidirect
79. #16839691C22semidirect
84. #16839683C22semidirect
85. #16839683C22semidirect
89. #16839678C22semidirect
90. #16839678C22semidirect
96. #16839674C22semidirect
97. #16839674C22semidirect
100. #16839670C22semidirect
101. #16839668C22semidirect
102. #16839667C22semidirect
105. #16839660C22semidirect
106. #16839659C22semidirect
108. #16839656C22semidirect
109. #16839656C22semidirect
113. #16839653C22semidirect
114. #16839651C22semidirect
116. #16839650C22semidirect
117. #16839650C22semidirect
118. #16839648C22semidirect
119. #16839647C22semidirect
120. #16839647C22semidirect
121. #16839646C22semidirect
122. #16839645C22semidirect
123. #16839643C22semidirect
136. #16839638C22semidirect
137. #16839638C22semidirect
141. #16839636C22semidirect
143. #16839635C22semidirect
144. #16839634C22semidirect
148. #16839624C22semidirect
149. #16839620C22semidirect
152. C4⋊C4×Dic61C22semidirect
153. C4⋊C4×Dic61C22semidirect
154. #16839613C22semidirect
155. #16839613C22semidirect
159. C22⋊C4×Dic61C22semidirect
160. C22⋊C4×Dic61C22semidirect
161. C22⋊C4×Dic61C22semidirect
162. C22⋊C4×Dic61C22semidirect
170. #16839609C22semidirect
171. #16839607C22semidirect
175. C2×#117×C61C22semidirect
177. C61×#397C22semidirect
178. C61×#396C22semidirect
181. C61×#390C22semidirect
182. C61×#388C22semidirect
183. C61×#387C22semidirect
184. C61×#387C22semidirect
187. C61×#386C22semidirect
243. #14519739D4semidirect
451. C2×C22⋊D61#41semidirect
463. C22×Dic61#41semidirect
518. C2×C4×D61#41semidirect
579. #11758198#41semidirect
848. #2471D61semidirect
924. C2×#117C2×D61semidirect
940. #397C2×D61semidirect
944. #396C2×D61semidirect
968. #390C2×D61semidirect
982. #388C2×D61semidirect
989. #387C2×D61semidirect
990. #387C2×D61semidirect
1007. #386C2×D61semidirect
1045. C61#34732semidirect

Maximal subgroups

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

subgroupindex
C2×#168402702
C2×#168402302
#214500142
#214500072
#214499152
#214498382
#214498312
#214497372
#214497302
#214496382
#214495722
#214494942
#214494262
#214493582
#214492842
#214492012
#214491362
#214491042
#214490882
#214490642
#214490312
#214483462
#214483402
#214483352
#214483292
#214483242
#214483062
#214482592
#214482572
C4×C22⋊C4×D612
C61×#24712
#3473261