Finite Group Databasebeta

← #29843406

Subgroups — #29843406

Order 15616.

2810 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840320C211yesmaximal, characteristic
2#21448970C211yesmaximal, characteristic, complemented
3#21448966C211yesmaximal, characteristic, complemented
4#21448959C211yesmaximal, characteristic, complemented
5#21448951C211yesmaximal, characteristic, complemented
6#21448861C211yesmaximal, characteristic, complemented
7#21448860C211yesmaximal, characteristic, complemented
8#21448802C211yesmaximal, characteristic, complemented
9#21448799C211yesmaximal, characteristic, complemented
10#21448797C211yesmaximal, characteristic, complemented
11#21448795C211yesmaximal, characteristic, complemented
12#21448795C211yesmaximal, characteristic, complemented
13#21448665C211yesmaximal, characteristic, complemented
14#21448661C211yesmaximal, characteristic, complemented
15#21448640C211yesmaximal, characteristic, complemented
16#21448637C211yesmaximal, characteristic, complemented
17#21448607C211yesmaximal, characteristic, complemented
18#21448604C211yesmaximal, characteristic, complemented
19#21448581C211yesmaximal, characteristic, complemented
20#21448578C211yesmaximal, characteristic, complemented
21#21448509C211yesmaximal, characteristic, complemented
22#21448508C211yesmaximal, characteristic, complemented
23#21448492C211yesmaximal, characteristic, complemented
24#21448486C211yesmaximal, characteristic, complemented
25#21448482C211yesmaximal, characteristic, complemented
26#21448475C211yesmaximal, characteristic, complemented
27#21448393C211yesmaximal, characteristic, complemented
28#21448346C211yesmaximal, characteristic, complemented
29#21448340C211yesmaximal, characteristic, complemented
30#390×D61C211yesmaximal, characteristic, complemented
31C61×#2377C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34#16840320C4116yescomplemented
35C2×#14519762C2211yescharacteristic
36C2×#14519762C2211yescharacteristic
37C2×#14519759C2211yescharacteristic
38C2×#14519759C2211yescharacteristic
39C2×#14519751C2211yescharacteristic
40C2×#14519749C2211yescharacteristic
41C2×#14519749C2211yescharacteristic
42C2×#14519747C2211yescharacteristic
43C2×#14519747C2211yescharacteristic
44C2×#14519745C2211yescharacteristic
45C2×#14519745C2211yescharacteristic
46C2×C4×D244C2211yescharacteristic
47C2×D4×Dic61C2211yescharacteristic, complemented
48C2×#14519739C2211yescharacteristic
49C2×#14519739C2211yescharacteristic, complemented
50C2×C4×C22⋊D61C2211yescharacteristic
51C2×C4×C22⋊D61C2211yescharacteristic, complemented
52C2×C4×C22⋊D61C2211yescharacteristic, complemented
53C2×#14519737C2211yescharacteristic
54C2×#14519736C2211yescharacteristic, complemented
55C2×#14519733C2211yescharacteristic, complemented
56C2×C4⋊C4×D61C2211yescharacteristic, complemented
57C22×#11758198C2211yescharacteristic
58C22×#11758198C2211yescharacteristic, complemented
59C22×#11758198C2211yescharacteristic, complemented
60C2×C22⋊C4×D61C2211yescharacteristic
61C2×C22⋊C4×D61C2211yescharacteristic
62C2×C22⋊C4×D61C2211yescharacteristic, complemented
63C2×C22⋊C4×D61C2211yescharacteristic, complemented
64C2×C22⋊C4×D61C2211yescharacteristic, complemented
65C2×C22⋊C4×D61C2211yescharacteristic, complemented
66C2×C42×D61C2211yescharacteristic, complemented
67#16839665C2211yescharacteristic, complemented
68#16839665C2211yescharacteristic, complemented
69#16839665C2211yescharacteristic, complemented
70#16839664C2211yescharacteristic
71#16839663C2211yescharacteristic
72#16839663C2211yescharacteristic, complemented
73#16839662C2211yescharacteristic
74#16839662C2211yescharacteristic
75#16839662C2211yescharacteristic, complemented
76#16839662C2211yescharacteristic, complemented
77#16839662C2211yescharacteristic, complemented
78#16839662C2211yescharacteristic, complemented
79#16839662C2211yescharacteristic, complemented
80#16839662C2211yescharacteristic, complemented
81#16839661C2211yescharacteristic, complemented
82#16839659C2211yescharacteristic, complemented
83#16839659C2211yescharacteristic, complemented
84#16839658C2211yescharacteristic, complemented
85#16839656C2211yescharacteristic, complemented
86#16839656C2211yescharacteristic, complemented
87#16839655C2211yescharacteristic, complemented
88#16839655C2211yescharacteristic, complemented
89#16839654C2211yescharacteristic, complemented
90#16839654C2211yescharacteristic, complemented
91#16839654C2211yescharacteristic, complemented
92#16839654C2211yescharacteristic, complemented
93#16839654C2211yescharacteristic, complemented
94#16839653C2211yescharacteristic, complemented
95#16839652C2211yescharacteristic, complemented
96#16839652C2211yescharacteristic, complemented
97#16839652C2211yescharacteristic, complemented
98#16839651C2211yescharacteristic, complemented
99#16839651C2211yescharacteristic, complemented
100#16839651C2211yescharacteristic, complemented
101#16839651C2211yescharacteristic, complemented
102#16839651C2211yescharacteristic, complemented
103#16839651C2211yescharacteristic, complemented
104#16839651C2211yescharacteristic, complemented
105#16839650C2211yescharacteristic, complemented
106#16839650C2211yescharacteristic, complemented
107#16839647C2211yescharacteristic, complemented
108#16839647C2211yescharacteristic, complemented
109#16839646C2211yescharacteristic, complemented
110#16839646C2211yescharacteristic, complemented
111#16839643C2211yescharacteristic, complemented
112#16839643C2211yescharacteristic, complemented
113#16839642C2211yescharacteristic, complemented
114#16839642C2211yescharacteristic, complemented
115#16839641C2211yescharacteristic
116#16839640C2211yescharacteristic
117#16839640C2211yescharacteristic
118#16839640C2211yescharacteristic
119#16839640C2211yescharacteristic
120#16839640C2211yescharacteristic, complemented
121#16839640C2211yescharacteristic, complemented
122#16839639C2211yescharacteristic
123#16839639C2211yescharacteristic, complemented
124#16839639C2211yescharacteristic, complemented
125#16839638C2211yescharacteristic
126#16839638C2211yescharacteristic
127#16839638C2211yescharacteristic, complemented
128#16839638C2211yescharacteristic, complemented
129#16839638C2211yescharacteristic, complemented
130#16839638C2211yescharacteristic, complemented
131#16839638C2211yescharacteristic, complemented
132#16839638C2211yescharacteristic, complemented
133#16839636C2211yescharacteristic, complemented
134#16839636C2211yescharacteristic, complemented
135#16839636C2211yescharacteristic, complemented
136#16839636C2211yescharacteristic, complemented
137#16839636C2211yescharacteristic, complemented
138#16839635C2211yescharacteristic, complemented
139#16839634C2211yescharacteristic, complemented
140#16839633C2211yescharacteristic, complemented
141#16839633C2211yescharacteristic, complemented
142#16839633C2211yescharacteristic, complemented
143#16839624C2211yescharacteristic, complemented
144#16839624C2211yescharacteristic, complemented
145#16839623C2211yescharacteristic, complemented
146#16839621C2211yescharacteristic, complemented
147#16839620C2211yescharacteristic, complemented
148#16839619C2211yescharacteristic, complemented
149#16839617C2211yescharacteristic
150#16839617C2211yescharacteristic
151#16839617C2211yescharacteristic, complemented
152#16839617C2211yescharacteristic, complemented
153C4⋊C4×Dic61C2211yescharacteristic, complemented
154C4⋊C4×Dic61C2211yescharacteristic, complemented
155#16839613C2211yescharacteristic, complemented
156#16839613C2211yescharacteristic, complemented
157C22⋊C4×Dic61C2211yescharacteristic, complemented
158C22⋊C4×Dic61C2211yescharacteristic, complemented
159C22⋊C4×Dic61C2211yescharacteristic, complemented
160C22⋊C4×Dic61C2211yescharacteristic, complemented
161C4×#11758198C2211yescharacteristic, complemented
162C4×#11758198C2211yescharacteristic, complemented
163C4×C22⋊Dic61C2211yescharacteristic, complemented
164C4×C22⋊Dic61C2211yescharacteristic, complemented
165#16839609C2211yescharacteristic, complemented
166#16839609C2211yescharacteristic, complemented
167#16839609C2211yescharacteristic, complemented
168#16839609C2211yescharacteristic, complemented
169#16839609C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic, complemented
171#16839609C2211yescharacteristic, complemented
172#16839609C2211yescharacteristic, complemented
173C2×#121×C61C2211yescharacteristic
174C61×#390C2211yescharacteristic, complemented
175C61×#390C2211yescharacteristic, complemented
176C61×#388C2211yescharacteristic, complemented
177C61×#388C2211yescharacteristic, complemented
178C61×#387C2211yescharacteristic, complemented
179C61×#387C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic, complemented
181C61×#386C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic, complemented
184C61×#385C2211yescharacteristic, complemented
185C61×#385C2211yescharacteristic, complemented
186C61×#381C2211yescharacteristic, complemented
187C61×#380C2211yescharacteristic, complemented
188C24×D61C2311yescharacteristic
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C2×D4×D61—42no—
201C2×D4×D61—42no—
202C2×D4×D61—42no—
203C2×D4×D61—42no—
204C2×D4×D61C2×C418yescomplemented
205C2×D4×D61C2×C418yescomplemented
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219#14519762C2×C418yescomplemented
220#14519762C2×C418yescomplemented
221#14519759C2×C418yescomplemented
222#14519759C2×C418yescomplemented
223#14519751C2×C418yescomplemented
224#14519749C2×C418yescomplemented
225#14519749C2×C418yescomplemented
226#14519747C2×C418yescomplemented
227#14519747C2×C418yescomplemented
228#14519745C2×C418yescomplemented
229#14519745C2×C418yescomplemented
230C4×D244—42no—
231D4×Dic61—42no—
232#14519739—42no—
233#14519739—42no—
234C4×C22⋊D61—42no—
235C4×C22⋊D61—42no—
236C4×C22⋊D61—42no—
237#14519737—42no—
238#14519736—42no—
239#14519733—42no—
240C2×C4⋊Dic61C2311yescharacteristic
241C2×C4⋊Dic61C2311yescharacteristic
242C2×C4⋊Dic61C2311yescharacteristic
243C2×C4⋊Dic61C2311yescharacteristic
244C2×C4⋊Dic61C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C4⋊C4×D61—42no—
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×#11758198—42no—
269C2×#11758198—42no—
270C2×#11758198C2×C418yescomplemented
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C22⋊C4×D61—42no—
304C22⋊C4×D61—42no—
305C22⋊C4×D61—42no—
306C22⋊C4×D61—42no—
307C22⋊C4×D61—42no—
308C22⋊C4×D61—42no—
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—42no—
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
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346C22×D4×C61C2311yescharacteristic
347C22×D4×C61C2311yescharacteristic
348C22×D4×C61C2311yescharacteristic
349C23×C4×C61C2311yescharacteristic
350C23×C4×C61C2311yescharacteristic
351C23×C4×C61C2311yescharacteristic
352#121×C61C2×C418yescomplemented
353C2×C4⋊C4×C61C2311yescharacteristic
354C2×C4⋊C4×C61C2311yescharacteristic
355C2×C4⋊C4×C61C2311yescharacteristic
356C2×C4⋊C4×C61C2311yescharacteristic
357C2×C4⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C42×C61C2311yescharacteristic
371C2×C42×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376#95×C61C2311yescharacteristic
377#95×C61C2311yescharacteristic
378#95×C61C2311yescharacteristic
379#95×C61C2311yescharacteristic
380#95×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382C24×C61C2411yescharacteristic
383C24×C61C2411yescharacteristic
384C24×C61C2411yescharacteristic
385C23×D61—22no—
386C23×D61—22no—
387C23×D61—22no—
388C23×D61—22no—
389C23×D61—41no—
390C23×D61—41no—
391C23×D61—41no—
392C23×D61—41no—
393C23×D61—41no—
394C23×D61—41no—
395C23×D61—41no—
396C23×D61—41no—
397C23×D61—41no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61—41no—
402C23×D61—41no—
403C23×D61C22×C414yes—
404C23×D61C22×C414yes—
405C23×D61C22×C414yes—
406C23×D61C2411yescharacteristic
407C23×D61C2411yescharacteristic
408C23×D61C2411yescharacteristic
409C23×D61C2411yescharacteristic
410C2×D4×C61—41no—
411C2×D4×C61—41no—
412C2×D4×C61—41no—
413C2×D4×C61—41no—
414C2×D4×C61—41no—
415C2×D4×C61—41no—
416C2×D4×C61C22×C414yes—
417C2×D4×C61C22×C414yes—
418C2×D4×C61C22×C414yes—
419C22×C4×C61—41no—
420C22×C4×C61—41no—
421C22×C4×C61—41no—
422C22×C4×C61—41no—
423C22×C4×C61—41no—
424C22×C4×C61—41no—
425C22×C4×C61—41no—
426C22×C4×C61—41no—
427C22×C4×C61C22×C414yes—
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
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
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61—41no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61C22×C414yes—
453C2×C22⋊D61C22×C414yes—
454C2×C22⋊D61C22×C414yes—
455C2×C22⋊D61C22×C414yes—
456C2×C22⋊D61C22×C414yes—
457C2×C22⋊D61C22×C414yes—
458C22×Dic61—22no—
459C22×Dic61—41no—
460C22×Dic61—41no—
461C22×Dic61—41no—
462C22×Dic61—41no—
463C22×Dic61—41no—
464C22×Dic61—41no—
465C22×Dic61—41no—
466C22×Dic61C22×C414yes—
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479D4×D61—416no—
480D4×D61—416no—
481C2×D244—22no—
482C2×D244—22no—
483C2×D244—41no—
484C2×D244—41no—
485C2×D244—41no—
486C2×D244—41no—
487C2×D244C22×C414yes—
488C2×D244C22×C414yes—
489C2×D244C22×C414yes—
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—41no—
500C2×C4×D61—41no—
501C2×C4×D61—41no—
502C2×C4×D61—41no—
503C2×C4×D61—41no—
504C2×C4×D61—41no—
505C2×C4×D61—41no—
506C2×C4×D61—41no—
507C2×C4×D61—41no—
508C2×C4×D61—41no—
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×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61C22×C414yes—
519C2×C4×D61C22×C414yes—
520C4⋊C4×C61—41no—
521C4⋊C4×C61—41no—
522C4⋊C4×C61—41no—
523C4⋊C4×C61—41no—
524C4⋊C4×C61C22×C414yes—
525C22⋊C4×C61—41no—
526C22⋊C4×C61—41no—
527C22⋊C4×C61—41no—
528C22⋊C4×C61—41no—
529C22⋊C4×C61—41no—
530C22⋊C4×C61—41no—
531C22⋊C4×C61—41no—
532C22⋊C4×C61—41no—
533C22⋊C4×C61—41no—
534C22⋊C4×C61—41no—
535C22⋊C4×C61C22×C414yes—
536C22⋊C4×C61C22×C414yes—
537C42×C61—41no—
538C42×C61—41no—
539C22⋊Dic61—22no—
540C22⋊Dic61—22no—
541C22⋊Dic61—22no—
542C22⋊Dic61—22no—
543C22⋊Dic61—22no—
544C22⋊Dic61—41no—
545C22⋊Dic61—41no—
546C22⋊Dic61—41no—
547C22⋊Dic61—41no—
548C22⋊Dic61—41no—
549C22⋊Dic61C22×C414yes—
550C22⋊Dic61C22×C414yes—
551#11758198—22no—
552#11758198—22no—
553#11758198—22no—
554#11758198—22no—
555#11758198—22no—
556#11758198—22no—
557#11758198—22no—
558#11758198—22no—
559#11758198—22no—
560#11758198—41no—
561#11758198—41no—
562#11758198—41no—
563#11758198—41no—
564#11758198—41no—
565#11758198—41no—
566#11758198—41no—
567#11758198—41no—
568#11758198—41no—
569#11758198—41no—
570#11758198—41no—
571#11758198—41no—
572#11758198—41no—
573#11758198—41no—
574#11758198—41no—
575#11758198C22×C414yes—
576#11758198C22×C414yes—
577#11758198C22×C414yes—
578#11758198C22×C414yes—
579#11758198C22×C414yes—
580#11758198C22×C414yes—
581#11758198C22×C414yes—
582#11758198C22×C414yes—
583C4⋊Dic61—22no—
584C4⋊Dic61—41no—
585C4⋊Dic61—41no—
586C4⋊Dic61—41no—
587C4⋊Dic61C22×C414yes—
588#11758196—22no—
589#11758196—41no—
590#11758196—41no—
591#11758196—41no—
592#11758196—41no—
593#11758196—41no—
594#11758196—41no—
595#11758196—41no—
596#11758196C22×C414yes—
597#11758196C22×C414yes—
598C4×Dic61—22no—
599C4×Dic61—22no—
600C4×Dic61—41no—
601C4×Dic61—41no—
602C4×Dic61—41no—
603C4×Dic61—41no—
604C4×Dic61—41no—
605C4×Dic61—41no—
606C4×Dic61—41no—
607C4×Dic61—41no—
608C4×Dic61—41no—
609C4×Dic61—41no—
610C4×Dic61—41no—
611C4×Dic61—41no—
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×C61C23×C412yes—
631C23×C61C23×C412yes—
632C23×C61C23×C412yes—
633C23×C61C2511yescharacteristic
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—21no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—28no—
657C22×D61—28no—
658C22×D61—44no—
659C22×D61—44no—
660C22×D61—44no—
661C22×D61—44no—
662C22×D61—44no—
663C22×D61—44no—
664C22×D61—44no—
665C22×D61—82no—
666C22×D61—82no—
667C22×D61—82no—
668C22×D61—82no—
669C22×D61—82no—
670C22×D61—82no—
671C22×D61—82no—
672C22×D61—82no—
673C22×D61—82no—
674C22×D61—82no—
675C22×D61—82no—
676C22×D61—82no—
677C22×D61C23×C412yes—
678C22×D61C23×C412yes—
679C22×D61C23×C412yes—
680C22×D61C23×C412yes—
681C22×D61H(5,𝔽2)12yes—
682C22×D61H(5,𝔽2)12yes—
683D4×C61—44no—
684D4×C61—44no—
685D4×C61—44no—
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—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—44no—
719C2×C4×C61—82no—
720C2×C4×C61—82no—
721C2×C4×C61C23×C412yes—
722C2×C4×C61C23×C412yes—
723C2×C4×C61C23×C412yes—
724C2×C4×C61C23×C412yes—
725C22⋊D61—28no—
726C22⋊D61—44no—
727C22⋊D61—44no—
728C22⋊D61—44no—
729C22⋊D61—44no—
730C22⋊D61—44no—
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—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—44no—
762C2×Dic61—82no—
763C2×Dic61—82no—
764C2×Dic61C23×C412yes—
765C2×Dic61C23×C412yes—
766C2×Dic61C23×C412yes—
767C2×Dic61C23×C412yes—
768C2×Dic61H(5,𝔽2)12yes—
769C2×Dic61H(5,𝔽2)12yes—
770D244—28no—
771D244—44no—
772D244—44no—
773C4×D61—28no—
774C4×D61—44no—
775C4×D61—44no—
776C4×D61—44no—
777C4×D61—82no—
778C4×D61—82no—
779C4×D61—82no—
780C4×D61—82no—
781C4×D61—82no—
782C4×D61—82no—
783#34408—611nomaximal, Sylow
784C22×C61—22no—
785C22×C61—22no—
786C22×C61—22no—
787C22×C61—22no—
788C22×C61—22no—
789C22×C61—22no—
790C22×C61—22no—
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—41no—
794C22×C61—41no—
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×C61C24×C411yescharacteristic
806C22×C61C2×H(5,𝔽2)11yescharacteristic
807C22×C61C2×H(5,𝔽2)11yescharacteristic
808C22×C61C2×H(5,𝔽2)11yescharacteristic
809C22×C61C2×H(5,𝔽2)11yescharacteristic
810C22×C61#58511yescharacteristic
811C22×C61#58511yescharacteristic
812C2×D61—22no—
813C2×D61—22no—
814C2×D61—22no—
815C2×D61—22no—
816C2×D61—22no—
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—41no—
828C2×D61—41no—
829C2×D61—41no—
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—88no—
840C2×D61—88no—
841C2×D61—88no—
842C2×D61#51814yes—
843C4×C61—22no—
844C4×C61—22no—
845C4×C61—22no—
846C4×C61—22no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855Dic61—22no—
856Dic61—22no—
857Dic61—22no—
858Dic61—22no—
859Dic61—22no—
860Dic61—22no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867C2×#534—611no—
868#2377—611no—
869#2377D6111yescharacteristic, complemented
870#2376—611no—
871#2375—611no—
872#2374—611no—
873#2363—611no—
874#2363—611no—
875#2358—611no—
876#2358—611no—
877#2358—611no—
878#2358—611no—
879#2358—611no—
880#2342—611no—
881#2342—611no—
882D4×C22⋊C4—611no—
883D4×C22⋊C4—611no—
884#2335—611no—
885#2335—611no—
886#2333—611no—
887#2333—611no—
888#2324—611no—
889#2324—611no—
890#2322—611no—
891#2322—611no—
892#2321—611no—
893#2321—611no—
894#2308—611no—
895C4×#123—611no—
896C4×#123—611no—
897C2×#390—611no—
898C2×C61—42no—
899C2×C61—42no—
900C2×C61—42no—
901C2×C61C2×#51811yescharacteristic
902C2×C61C4×H(5,𝔽2)11yescharacteristic
903C2×C61C4×H(5,𝔽2)11yescharacteristic
904C2×C61#353411yescharacteristic
905C2×C61#353411yescharacteristic
906C2×C61#354311yescharacteristic
907C2×C61#354511yescharacteristic
908D61—24no—
909D61—42no—
910D61—42no—
911D61—42no—
912C23×D4—611no—
913C23×D4—611no—
914#534—6116no—
915C2×#123—611no—
916C2×#123—611no—
917C2×#123—611no—
918C2×#123—611no—
919C2×#121—611no—
920C2×#121—611no—
921C2×#121—611no—
922C2×#121C2×D6111yescharacteristic
923C2×#120—611no—
924C2×#120—611no—
925C2×#120—611no—
926C2×#120—611no—
927C2×C4×D4—611no—
928C2×C4×D4—611no—
929C2×C4×D4—611no—
930C2×C4×D4—611no—
931C2×C4×D4—611no—
932C2×C4×D4—611no—
933C2×C4×D4—611no—
934C2×C4×D4—611no—
935C2×#117—611no—
936C2×#117—611no—
937C22×C4⋊C4—611no—
938C22×C22⋊C4—611no—
939C22×C22⋊C4—611no—
940C22×C22⋊C4—611no—
941C22×C22⋊C4—611no—
942C22×C22⋊C4—611no—
943C22×C22⋊C4—611no—
944C22×C22⋊C4—611no—
945C22×C22⋊C4—611no—
946C22×C22⋊C4—611no—
947C22×C42—611no—
948#390—611no—
949#390—611no—
950#390—611no—
951#390—611no—
952#390—611no—
953#390—611no—
954#390—611no—
955#390—611no—
956#390—611no—
957#390—611no—
958#390—611no—
959#390—611no—
960#390—611no—
961#390—611no—
962#390C2×D6111yescharacteristic, complemented
963#390C2×D6111yescharacteristic, complemented
964#389—611no—
965#389—611no—
966#389—611no—
967#389—611no—
968#388—611no—
969#388—611no—
970#388—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#388—611no—
983#388—611no—
984#388—611no—
985#388—611no—
986#388—611no—
987#388—611no—
988#388—611no—
989#388—611no—
990#388C2×D6111yescharacteristic, complemented
991#388C2×D6111yescharacteristic, complemented
992#387—611no—
993#387—611no—
994#387—611no—
995#387—611no—
996#387—611no—
997#387—611no—
998#387C2×D6111yescharacteristic, complemented
999#387C2×D6111yescharacteristic, complemented
1000#386—611no—
1001#386—611no—
1002#386—611no—
1003#386—611no—
1004#386—611no—
1005#386—611no—
1006#386—611no—
1007#386—611no—
1008#386—611no—
1009#386—611no—
1010#386—611no—
1011#386—611no—
1012#386—611no—
1013#386—611no—
1014#386—611no—
1015#386—611no—
1016#386—611no—
1017#386—611no—
1018#386—611no—
1019#386—611no—
1020#386C2×D6111yescharacteristic, complemented
1021#386C2×D6111yescharacteristic, complemented
1022#386C2×D6111yescharacteristic, complemented
1023#386C2×D6111yescharacteristic, complemented
1024#385—611no—
1025#385—611no—
1026#385—611no—
1027#385—611no—
1028#385—611no—
1029#385—611no—
1030#385—611no—
1031#385—611no—
1032#385—611no—
1033#385—611no—
1034#385C2×D6111yescharacteristic, complemented
1035#385C2×D6111yescharacteristic, complemented
1036#381—611no—
1037#381—611no—
1038#381—611no—
1039#381C2×D6111yescharacteristic, complemented
1040#380—611no—
1041#380—611no—
1042#380—611no—
1043#380C2×D6111yescharacteristic, complemented
1044#379—611no—
1045#379—611no—
1046#379—611no—
1047#379—611no—
1048C4×C4⋊C4—611no—
1049C4×C4⋊C4—611no—
1050C4×C4⋊C4—611no—
1051C4×C4⋊C4—611no—
1052C4×C22⋊C4—611no—
1053C4×C22⋊C4—611no—
1054C4×C22⋊C4—611no—
1055C4×C22⋊C4—611no—
1056C4×C22⋊C4—611no—
1057C4×C22⋊C4—611no—
1058C4×C22⋊C4—611no—
1059C4×C22⋊C4—611no—
1060C4×C22⋊C4—611no—
1061C4×C22⋊C4—611no—
1062C4×C22⋊C4—611no—
1063C4×C22⋊C4—611no—
1064C4×C22⋊C4—611no—
1065C4×C22⋊C4—611no—
1066C4×C22⋊C4—611no—
1067C4×C22⋊C4—611no—
1068C61#3440811yescharacteristic, complemented, Sylow
1069C25—611no—
1070C25—611no—
1071C25—611no—
1072C22×D4—611no—
1073C22×D4—611no—
1074C22×D4—611no—
1075C22×D4—611no—
1076C22×D4—611no—
1077C22×D4—611no—
1078C22×D4—618no—
1079C22×D4—618no—
1080C22×D4—611no—
1081C22×D4—611no—
1082C22×D4—611no—
1083C22×D4—2442no—
1084C22×D4—2442no—
1085C22×D4—2442no—
1086C22×D4—2442no—
1087C22×D4C22×D6111yescharacteristic
1088C22×D4C22×D6111yescharacteristic
1089C22×D4C22×D6111yescharacteristic
1090C23×C4—611no—
1091C23×C4—611no—
1092C23×C4—611no—
1093C23×C4—611no—
1094C23×C4—611no—
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×C4C22×D6111yescharacteristic
1104C23×C4C22×D6111yescharacteristic
1105C23×C4C22×D6111yescharacteristic
1106#123—618no—
1107#123—618no—
1108#123—618no—
1109#123—618no—
1110#121—618no—
1111#121—618no—
1112#121—618no—
1113#121C4×D6118yescomplemented
1114#120—618no—
1115#120—618no—
1116#120—618no—
1117#120—618no—
1118C4×D4—2442no—
1119C4×D4—2442no—
1120C4×D4—2442no—
1121C4×D4—2442no—
1122C4×D4—2442no—
1123C4×D4—2442no—
1124C4×D4—2442no—
1125C4×D4—2442no—
1126#117—2442no—
1127#117—2442no—
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⋊C4—611no—
1138C2×C4⋊C4—611no—
1139C2×C4⋊C4—611no—
1140C2×C4⋊C4—611no—
1141C2×C4⋊C4—611no—
1142C2×C4⋊C4—611no—
1143C2×C4⋊C4—2442no—
1144C2×C4⋊C4C22×D6111yescharacteristic
1145C2×C4⋊C4C22×D6111yescharacteristic
1146C2×C4⋊C4C22×D6111yescharacteristic
1147C2×C4⋊C4C22×D6111yescharacteristic
1148C2×C4⋊C4C22×D6111yescharacteristic
1149C2×C22⋊C4—611no—
1150C2×C22⋊C4—611no—
1151C2×C22⋊C4—618no—
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—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—2442no—
1195C2×C22⋊C4—2442no—
1196C2×C22⋊C4—2442no—
1197C2×C22⋊C4—2442no—
1198C2×C22⋊C4—2442no—
1199C2×C22⋊C4—2442no—
1200C2×C22⋊C4—2442no—
1201C2×C22⋊C4—2442no—
1202C2×C22⋊C4C22×D6111yescharacteristic
1203C2×C22⋊C4C22×D6111yescharacteristic
1204C2×C22⋊C4C22×D6111yescharacteristic
1205C2×C22⋊C4C22×D6111yescharacteristic
1206C2×C22⋊C4C22×D6111yescharacteristic
1207C2×C22⋊C4C22×D6111yescharacteristic
1208C2×C22⋊C4C22×D6111yescharacteristic
1209C2×C22⋊C4C22×D6111yescharacteristic
1210C2×C22⋊C4C22×D6111yescharacteristic
1211C2×C22⋊C4C22×D6111yescharacteristic
1212C2×C22⋊C4C22×D6111yescharacteristic
1213C2×C22⋊C4C22×D6111yescharacteristic
1214C2×C42—611no—
1215C2×C42—611no—
1216C2×C42—611no—
1217C2×C42—611no—
1218C2×C42—611no—
1219C2×C42—611no—
1220C2×C42—611no—
1221C2×C42—611no—
1222C2×C42—611no—
1223C2×C42—611no—
1224C2×C42—611no—
1225C2×C42—611no—
1226C2×C42—611no—
1227C2×C42—611no—
1228C2×C42—2442no—
1229C2×C42C22×D6111yescharacteristic
1230C2×C42C22×D6111yescharacteristic
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#95—611no—
1241#95—611no—
1242#95—611no—
1243#95—611no—
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#95C22×D6111yescharacteristic
1254#95C22×D6111yescharacteristic
1255#95C22×D6111yescharacteristic
1256#95C22×D6111yescharacteristic
1257#95C22×D6111yescharacteristic
1258#95C22×D6111yescharacteristic
1259#95C22×D6111yescharacteristic
1260#95C22×D6111yescharacteristic
1261#95C22×D6111yescharacteristic
1262#95C22×D6111yescharacteristic
1263C24—611no—
1264C24—611no—
1265C24—611no—
1266C24—611no—
1267C24—614no—
1268C24—614no—
1269C24—614no—
1270C24—1222no—
1271C24—1222no—
1272C24—1222no—
1273C24—1222no—
1274C24—2441no—
1275C24—2441no—
1276C24—2441no—
1277C24—2441no—
1278C24—2441no—
1279C24—2441no—
1280C24—2441no—
1281C24—2441no—
1282C24—2441no—
1283C24—2441no—
1284C24—2441no—
1285C24—2441no—
1286C24—2441no—
1287C24—2441no—
1288C24C23×D6111yescharacteristic
1289C24C23×D6111yescharacteristic
1290C24C23×D6111yescharacteristic
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—614no—
1298C2×D4—614no—
1299C2×D4—614no—
1300C2×D4—614no—
1301C2×D4—614no—
1302C2×D4—614no—
1303C2×D4—614no—
1304C2×D4—614no—
1305C2×D4—614no—
1306C2×D4—1222no—
1307C2×D4—1222no—
1308C2×D4—1222no—
1309C2×D4—1222no—
1310C2×D4—2441no—
1311C2×D4—2441no—
1312C2×D4—2441no—
1313C2×D4—2441no—
1314C2×D4—24416no—
1315C2×D4—2441no—
1316C2×D4—2441no—
1317C2×D4—2441no—
1318C2×D4—2441no—
1319C2×D4—2441no—
1320C2×D4—2441no—
1321C2×D4—2441no—
1322C2×D4—2441no—
1323C2×D4—2441no—
1324C2×D4—2441no—
1325C2×D4—24416no—
1326C2×D4C2×C4×D6114yes—
1327C2×D4C2×C4×D6114yes—
1328C2×D4C2×C4×D6114yes—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—611no—
1338C22×C4—611no—
1339C22×C4—611no—
1340C22×C4—611no—
1341C22×C4—611no—
1342C22×C4—611no—
1343C22×C4—614no—
1344C22×C4—614no—
1345C22×C4—614no—
1346C22×C4—611no—
1347C22×C4—611no—
1348C22×C4—611no—
1349C22×C4—611no—
1350C22×C4—611no—
1351C22×C4—611no—
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—1222no—
1362C22×C4—2441no—
1363C22×C4—2441no—
1364C22×C4—2441no—
1365C22×C4—2441no—
1366C22×C4—2441no—
1367C22×C4—2441no—
1368C22×C4—2441no—
1369C22×C4—2441no—
1370C22×C4—2441no—
1371C22×C4—2441no—
1372C22×C4—2441no—
1373C22×C4—2441no—
1374C22×C4—2441no—
1375C22×C4—2441no—
1376C22×C4—2441no—
1377C22×C4—2441no—
1378C22×C4—2441no—
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×C4C2×C4×D6114yes—
1389C22×C4C23×D6111yescharacteristic
1390C22×C4C23×D6111yescharacteristic
1391C22×C4C23×D6111yescharacteristic
1392C22×C4C23×D6111yescharacteristic
1393C22×C4C23×D6111yescharacteristic
1394C22×C4C23×D6111yescharacteristic
1395C22×C4C23×D6111yescharacteristic
1396C22×C4C23×D6111yescharacteristic
1397C22×C4C23×D6111yescharacteristic
1398C22×C4C23×D6111yescharacteristic
1399C22×C4C23×D6111yescharacteristic
1400C22×C4C23×D6111yescharacteristic
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—614no—
1406C4⋊C4—614no—
1407C4⋊C4—614no—
1408C4⋊C4—1222no—
1409C4⋊C4—1222no—
1410C4⋊C4—2441no—
1411C4⋊C4—2441no—
1412C4⋊C4—2441no—
1413C4⋊C4—2441no—
1414C4⋊C4—2441no—
1415C4⋊C4—2441no—
1416C4⋊C4—2441no—
1417C4⋊C4—2441no—
1418C4⋊C4—2441no—
1419C4⋊C4—2441no—
1420C4⋊C4C2×C4×D6114yes—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—614no—
1432C22⋊C4—614no—
1433C22⋊C4—614no—
1434C22⋊C4—614no—
1435C22⋊C4—614no—
1436C22⋊C4—614no—
1437C22⋊C4—614no—
1438C22⋊C4—614no—
1439C22⋊C4—614no—
1440C22⋊C4—614no—
1441C22⋊C4—1222no—
1442C22⋊C4—1222no—
1443C22⋊C4—1222no—
1444C22⋊C4—1222no—
1445C22⋊C4—1222no—
1446C22⋊C4—1222no—
1447C22⋊C4—1222no—
1448C22⋊C4—1222no—
1449C22⋊C4—1222no—
1450C22⋊C4—1222no—
1451C22⋊C4—1222no—
1452C22⋊C4—1222no—
1453C22⋊C4—1222no—
1454C22⋊C4—1222no—
1455C22⋊C4—2441no—
1456C22⋊C4—2441no—
1457C22⋊C4—2441no—
1458C22⋊C4—2441no—
1459C22⋊C4—2441no—
1460C22⋊C4—2441no—
1461C22⋊C4—2441no—
1462C22⋊C4—2441no—
1463C22⋊C4—2441no—
1464C22⋊C4—2441no—
1465C22⋊C4—2441no—
1466C22⋊C4—2441no—
1467C22⋊C4—2441no—
1468C22⋊C4—2441no—
1469C22⋊C4—2441no—
1470C22⋊C4—2441no—
1471C22⋊C4—2441no—
1472C22⋊C4—2441no—
1473C22⋊C4—2441no—
1474C22⋊C4—2441no—
1475C22⋊C4C2×C4×D6114yes—
1476C22⋊C4C2×C4×D6114yes—
1477C42—41no—
1478C42—41no—
1479C42—1222no—
1480C42—1222no—
1481C42—2441no—
1482C42—2441no—
1483C42—2441no—
1484C42—2441no—
1485C42—2441no—
1486C42—2441no—
1487C42—2441no—
1488C42—2441no—
1489C42—2441no—
1490C42—2441no—
1491C42—2441no—
1492C42—2441no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—612no—
1512C23—612no—
1513C23—612no—
1514C23—612no—
1515C23—612no—
1516C23—612no—
1517C23—1228no—
1518C23—1228no—
1519C23—1221no—
1520C23—1221no—
1521C23—1221no—
1522C23—1221no—
1523C23—1221no—
1524C23—1221no—
1525C23—1221no—
1526C23—1221no—
1527C23—1221no—
1528C23—1221no—
1529C23—1221no—
1530C23—1221no—
1531C23—1221no—
1532C23—1221no—
1533C23—1221no—
1534C23—1221no—
1535C23—1221no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—4882no—
1542C23—4882no—
1543C23—4882no—
1544C23—4882no—
1545C23—4882no—
1546C23—4882no—
1547C23—4882no—
1548C23—4882no—
1549C23—4882no—
1550C23—4882no—
1551C23—4882no—
1552C23—4882no—
1553C23—2444no—
1554C23—2444no—
1555C23—2444no—
1556C23—2444no—
1557C23—2444no—
1558C23—2444no—
1559C23—2444no—
1560C23C22×C4×D6112yes—
1561C23C22×C4×D6112yes—
1562C23C22×C4×D6112yes—
1563C23C24×D6111yescharacteristic
1564D4—44no—
1565D4—44no—
1566D4—44no—
1567D4—1228no—
1568D4—1228no—
1569D4—2444no—
1570D4—2444no—
1571D4—2444no—
1572D4—2444no—
1573D4—2444no—
1574D4—2444no—
1575D4—2444no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
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—44no—
1609C2×C4—82no—
1610C2×C4—82no—
1611C2×C4—612no—
1612C2×C4—612no—
1613C2×C4—612no—
1614C2×C4—612no—
1615C2×C4—612no—
1616C2×C4—612no—
1617C2×C4—1228no—
1618C2×C4—1221no—
1619C2×C4—1221no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—1221no—
1623C2×C4—1221no—
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—4882no—
1649C2×C4—4882no—
1650C2×C4—4882no—
1651C2×C4—4882no—
1652C2×C4—4882no—
1653C2×C4—4882no—
1654C2×C4—4882no—
1655C2×C4—4882no—
1656C2×C4—2444no—
1657C2×C4—2444no—
1658C2×C4—2444no—
1659C2×C4—2444no—
1660C2×C4C22×C4×D6112yes—
1661C2×C4C22×C4×D6112yes—
1662C2×C4C22×C4×D6112yes—
1663C2×C4C22×C4×D6112yes—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—614no—
1686C22—1222no—
1687C22—1222no—
1688C22—1222no—
1689C22—1222no—
1690C22—1222no—
1691C22—1222no—
1692C22—1222no—
1693C22—1222no—
1694C22—1222no—
1695C22—1222no—
1696C22—1222no—
1697C22—1222no—
1698C22—1222no—
1699C22—1222no—
1700C22—1222no—
1701C22—4888no—
1702C22—4888no—
1703C22—4888no—
1704C22—2441no—
1705C22—2441no—
1706C22—2441no—
1707C22—2441no—
1708C22—2441no—
1709C22—2441no—
1710C22—2441no—
1711C22—2441no—
1712C22—2441no—
1713C22—2441no—
1714C22—2441no—
1715C22—2441no—
1716C22C23×C4×D6111yescharacteristic
1717C22H(5,𝔽2)×D6111yescharacteristic
1718C22H(5,𝔽2)×D6111yescharacteristic
1719C22H(5,𝔽2)×D6111yescharacteristic
1720C22H(5,𝔽2)×D6111yescharacteristic
1721C22#1684059711yescharacteristic
1722C22#1684059911yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—1222no—
1736C4—1222no—
1737C4—1222no—
1738C4—1222no—
1739C4—1222no—
1740C4—1222no—
1741C4—2441no—
1742C4—2441no—
1743C4—2441no—
1744C4—2441no—
1745C4—2441no—
1746C4—2441no—
1747C2—42no—
1748C2—42no—
1749C2—42no—
1750C2—1224no—
1751C2—2442no—
1752C2—2442no—
1753C2—2442no—
1754C2#518×D6111yescharacteristic
1755C2#2145902311yescharacteristic
1756C2#2145902511yescharacteristic
1757C2#2146000011yescharacteristic
1758C2#2146001111yescharacteristic
1759C2#2146014711yescharacteristic
1760C2#2146016911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2377C2
socle, cosocleC23×C61C25
prime radicalC2×#16840320C2
hypercenter#2377D61
hypocenterC61#34408
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2377

Complements

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

NH ≅ G/Ntype
2. #21448970C2semidirect
3. #21448966C2semidirect
4. #21448959C2semidirect
5. #21448951C2semidirect
6. #21448861C2semidirect
7. #21448860C2semidirect
8. #21448802C2semidirect
9. #21448799C2semidirect
10. #21448797C2semidirect
11. #21448795C2semidirect
12. #21448795C2semidirect
13. #21448665C2semidirect
14. #21448661C2semidirect
15. #21448640C2semidirect
16. #21448637C2semidirect
17. #21448607C2semidirect
18. #21448604C2semidirect
19. #21448581C2semidirect
20. #21448578C2semidirect
21. #21448509C2semidirect
22. #21448508C2semidirect
23. #21448492C2semidirect
24. #21448486C2semidirect
25. #21448482C2semidirect
26. #21448475C2semidirect
27. #21448393C2semidirect
28. #21448346C2semidirect
29. #21448340C2semidirect
30. #390×D61C2semidirect
31. C61×#2377C2semidirect
34. #16840320C4semidirect
47. C2×D4×Dic61C22semidirect
49. C2×#14519739C22semidirect
51. C2×C4×C22⋊D61C22semidirect
52. C2×C4×C22⋊D61C22semidirect
54. C2×#14519736C22semidirect
55. C2×#14519733C22semidirect
56. C2×C4⋊C4×D61C22semidirect
58. C22×#11758198C22semidirect
59. C22×#11758198C22semidirect
62. C2×C22⋊C4×D61C22semidirect
63. C2×C22⋊C4×D61C22semidirect
64. C2×C22⋊C4×D61C22semidirect
65. C2×C22⋊C4×D61C22semidirect
66. C2×C42×D61C22semidirect
67. #16839665C22semidirect
68. #16839665C22semidirect
69. #16839665C22semidirect
72. #16839663C22semidirect
75. #16839662C22semidirect
76. #16839662C22semidirect
77. #16839662C22semidirect
78. #16839662C22semidirect
79. #16839662C22semidirect
80. #16839662C22semidirect
81. #16839661C22semidirect
82. #16839659C22semidirect
83. #16839659C22semidirect
84. #16839658C22semidirect
85. #16839656C22semidirect
86. #16839656C22semidirect
87. #16839655C22semidirect
88. #16839655C22semidirect
89. #16839654C22semidirect
90. #16839654C22semidirect
91. #16839654C22semidirect
92. #16839654C22semidirect
93. #16839654C22semidirect
94. #16839653C22semidirect
95. #16839652C22semidirect
96. #16839652C22semidirect
97. #16839652C22semidirect
98. #16839651C22semidirect
99. #16839651C22semidirect
100. #16839651C22semidirect
101. #16839651C22semidirect
102. #16839651C22semidirect
103. #16839651C22semidirect
104. #16839651C22semidirect
105. #16839650C22semidirect
106. #16839650C22semidirect
107. #16839647C22semidirect
108. #16839647C22semidirect
109. #16839646C22semidirect
110. #16839646C22semidirect
111. #16839643C22semidirect
112. #16839643C22semidirect
113. #16839642C22semidirect
114. #16839642C22semidirect
120. #16839640C22semidirect
121. #16839640C22semidirect
123. #16839639C22semidirect
124. #16839639C22semidirect
127. #16839638C22semidirect
128. #16839638C22semidirect
129. #16839638C22semidirect
130. #16839638C22semidirect
131. #16839638C22semidirect
132. #16839638C22semidirect
133. #16839636C22semidirect
134. #16839636C22semidirect
135. #16839636C22semidirect
136. #16839636C22semidirect
137. #16839636C22semidirect
138. #16839635C22semidirect
139. #16839634C22semidirect
140. #16839633C22semidirect
141. #16839633C22semidirect
142. #16839633C22semidirect
143. #16839624C22semidirect
144. #16839624C22semidirect
145. #16839623C22semidirect
146. #16839621C22semidirect
147. #16839620C22semidirect
148. #16839619C22semidirect
151. #16839617C22semidirect
152. #16839617C22semidirect
153. C4⋊C4×Dic61C22semidirect
154. C4⋊C4×Dic61C22semidirect
155. #16839613C22semidirect
156. #16839613C22semidirect
157. C22⋊C4×Dic61C22semidirect
158. C22⋊C4×Dic61C22semidirect
159. C22⋊C4×Dic61C22semidirect
160. C22⋊C4×Dic61C22semidirect
161. C4×#11758198C22semidirect
162. C4×#11758198C22semidirect
163. C4×C22⋊Dic61C22semidirect
164. C4×C22⋊Dic61C22semidirect
165. #16839609C22semidirect
166. #16839609C22semidirect
167. #16839609C22semidirect
168. #16839609C22semidirect
169. #16839609C22semidirect
170. #16839609C22semidirect
171. #16839609C22semidirect
172. #16839609C22semidirect
174. C61×#390C22semidirect
175. C61×#390C22semidirect
176. C61×#388C22semidirect
177. C61×#388C22semidirect
178. C61×#387C22semidirect
179. C61×#387C22semidirect
180. C61×#386C22semidirect
181. C61×#386C22semidirect
182. C61×#386C22semidirect
183. C61×#386C22semidirect
184. C61×#385C22semidirect
185. C61×#385C22semidirect
186. C61×#381C22semidirect
187. C61×#380C22semidirect
204. C2×D4×D61C2×C4semidirect
205. C2×D4×D61C2×C4semidirect
219. #14519762C2×C4semidirect
220. #14519762C2×C4semidirect
221. #14519759C2×C4semidirect
222. #14519759C2×C4semidirect
223. #14519751C2×C4semidirect
224. #14519749C2×C4semidirect
225. #14519749C2×C4semidirect
226. #14519747C2×C4semidirect
227. #14519747C2×C4semidirect
228. #14519745C2×C4semidirect
229. #14519745C2×C4semidirect
270. C2×#11758198C2×C4semidirect
352. #121×C61C2×C4semidirect
869. #2377D61semidirect
962. #390C2×D61semidirect
963. #390C2×D61semidirect
990. #388C2×D61semidirect
991. #388C2×D61semidirect
998. #387C2×D61semidirect
999. #387C2×D61semidirect
1020. #386C2×D61semidirect
1021. #386C2×D61semidirect
1022. #386C2×D61semidirect
1023. #386C2×D61semidirect
1034. #385C2×D61semidirect
1035. #385C2×D61semidirect
1039. #381C2×D61semidirect
1043. #380C2×D61semidirect
1068. C61#34408semidirect
1113. #121C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403202
#214489702
#214489662
#214489592
#214489512
#214488612
#214488602
#214488022
#214487992
#214487972
#214487952
#214486652
#214486612
#214486402
#214486372
#214486072
#214486042
#214485812
#214485782
#214485092
#214485082
#214484922
#214484862
#214484822
#214484752
#214483932
#214483462
#214483402
#390×D612
C61×#23772
#3440861