Finite Group Databasebeta

← #29848824

Subgroups — #29848824

Order 15616.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840290C211yesmaximal, characteristic, complemented
2C2×#117×D61C211yesmaximal, characteristic, complemented
3#21450078C211yesmaximal, characteristic, complemented
4#21450063C211yesmaximal, characteristic, complemented
5#21450048C211yesmaximal, characteristic, complemented
6#21450033C211yesmaximal, characteristic, complemented
7#21450018C211yesmaximal, characteristic, complemented
8#21450003C211yesmaximal, characteristic, complemented
9#21449988C211yesmaximal, characteristic, complemented
10#21449973C211yesmaximal, characteristic, complemented
11#21449958C211yesmaximal, characteristic, complemented
12#21449943C211yesmaximal, characteristic, complemented
13#21449928C211yesmaximal, characteristic, complemented
14#21449913C211yesmaximal, characteristic, complemented
15#21449633C211yesmaximal, characteristic, complemented
16#21449559C211yesmaximal, characteristic, complemented
17#21449360C211yesmaximal, characteristic
18#21449286C211yesmaximal, characteristic, complemented
19#21449091C211yesmaximal, characteristic, complemented
20#21449079C211yesmaximal, characteristic, complemented
21#21449079C211yesmaximal, characteristic, complemented
22#21449059C211yesmaximal, characteristic, complemented
23C4×#14519757C211yesmaximal, characteristic, complemented
24C4×#14519752C211yesmaximal, characteristic, complemented
25C4×#14519747C211yesmaximal, characteristic, complemented
26C4×#14519747C211yesmaximal, characteristic, complemented
27#21448283C211yesmaximal, characteristic, complemented
28#21448263C211yesmaximal, characteristic, complemented
29#21448263C211yesmaximal, characteristic, complemented
30C42×D244C211yesmaximal, characteristic, complemented
31C61×#2298C211yesmaximal, characteristic, complemented
32C23×C4×D61C2211yescharacteristic
33#16840290—28no—
34C2×#14519772C2211yescharacteristic, complemented
35C2×#14519770C2211yescharacteristic
36C2×#14519767C2211yescharacteristic, complemented
37C2×#14519763C2211yescharacteristic
38C2×#14519762C2211yescharacteristic, complemented
39C2×#14519759C2211yescharacteristic
40C2×#14519757C2211yescharacteristic
41C2×#14519755C2211yescharacteristic, complemented
42C2×#14519752C2211yescharacteristic
43C2×#14519750C2211yescharacteristic
44C2×#14519747C2211yescharacteristic
45C2×#14519747C2211yescharacteristic
46C2×C4×Dic122C2211yescharacteristic, complemented
47C2×C4×D244C2211yescharacteristic
48C2×C4×D244C2211yescharacteristic
49C2×C4×D244C2211yescharacteristic
50C2×C4×D244C2211yescharacteristic
51C2×C4×D244C2211yescharacteristic
52C2×C4×D244C2211yescharacteristic
53C2×C4×D244C2211yescharacteristic, complemented
54C2×C4×C22⋊D61C2211yescharacteristic
55C2×C4×C22⋊D61C2211yescharacteristic
56C2×#14519736C2211yescharacteristic
57C2×#14519735C2211yescharacteristic
58C2×#14519735C2211yescharacteristic
59C2×#14519734C2211yescharacteristic
60C2×#14519734C2211yescharacteristic
61C2×#14519734C2211yescharacteristic, complemented
62C2×#14519733C2211yescharacteristic
63C2×#14519733C2211yescharacteristic
64#117×D61—28no—
65C2×C4⋊C4×D61C2211yescharacteristic
66C2×C4⋊C4×D61C2211yescharacteristic
67C2×C22⋊C4×D61C2211yescharacteristic
68C2×C22⋊C4×D61C2211yescharacteristic
69C2×C42×D61C2211yescharacteristic
70C2×C42×D61C2211yescharacteristic
71C2×C42×D61C2211yescharacteristic, complemented
72#16839702C2211yescharacteristic, complemented
73#16839702C2211yescharacteristic, complemented
74#16839702C2211yescharacteristic, complemented
75#16839699C2211yescharacteristic
76#16839699C2211yescharacteristic, complemented
77#16839699C2211yescharacteristic, complemented
78#16839694C2211yescharacteristic, complemented
79#16839694C2211yescharacteristic, complemented
80#16839694C2211yescharacteristic, complemented
81#16839692C2211yescharacteristic, complemented
82#16839692C2211yescharacteristic, complemented
83#16839689C2211yescharacteristic
84#16839689C2211yescharacteristic, complemented
85#16839689C2211yescharacteristic, complemented
86#16839687C2211yescharacteristic
87#16839687C2211yescharacteristic
88#16839687C2211yescharacteristic
89#16839687C2211yescharacteristic
90#16839684C2211yescharacteristic
91#16839684C2211yescharacteristic
92#16839684C2211yescharacteristic, complemented
93#16839684C2211yescharacteristic, complemented
94#16839683C2211yescharacteristic, complemented
95#16839680C2211yescharacteristic, complemented
96#16839679C2211yescharacteristic
97#16839679C2211yescharacteristic
98#16839678C2211yescharacteristic
99#16839678C2211yescharacteristic
100#16839678C2211yescharacteristic
101#16839678C2211yescharacteristic
102#16839675C2211yescharacteristic
103#16839672C2211yescharacteristic
104#16839667C2211yescharacteristic, complemented
105#16839664C2211yescharacteristic
106#16839664C2211yescharacteristic
107#16839663C2211yescharacteristic, complemented
108#16839661C2211yescharacteristic, complemented
109#16839661C2211yescharacteristic, complemented
110#16839660C2211yescharacteristic, complemented
111#16839660C2211yescharacteristic, complemented
112#16839654C2211yescharacteristic
113#16839654C2211yescharacteristic
114#16839654C2211yescharacteristic, complemented
115#16839654C2211yescharacteristic, complemented
116#16839654C2211yescharacteristic, complemented
117#16839654C2211yescharacteristic, complemented
118#16839653C2211yescharacteristic
119#16839653C2211yescharacteristic
120#16839653C2211yescharacteristic, complemented
121#16839653C2211yescharacteristic, complemented
122#16839647C2211yescharacteristic, complemented
123#16839647C2211yescharacteristic, complemented
124#16839647C2211yescharacteristic, complemented
125#16839647C2211yescharacteristic, complemented
126#16839647C2211yescharacteristic, complemented
127#16839647C2211yescharacteristic, complemented
128#16839640C2211yescharacteristic
129#16839640C2211yescharacteristic
130#16839640C2211yescharacteristic
131#16839640C2211yescharacteristic
132#16839640C2211yescharacteristic
133#16839640C2211yescharacteristic
134#16839640C2211yescharacteristic
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic
137#16839640C2211yescharacteristic
138#16839639C2211yescharacteristic
139#16839639C2211yescharacteristic
140#16839637C2211yescharacteristic
141#16839637C2211yescharacteristic
142#16839636C2211yescharacteristic
143#16839636C2211yescharacteristic
144#16839636C2211yescharacteristic
145#16839636C2211yescharacteristic
146#16839636C2211yescharacteristic
147#16839636C2211yescharacteristic
148#16839636C2211yescharacteristic
149#16839636C2211yescharacteristic
150#16839636C2211yescharacteristic, complemented
151#16839636C2211yescharacteristic, complemented
152#16839619C2211yescharacteristic
153#16839619C2211yescharacteristic
154#16839617C2211yescharacteristic
155#16839617C2211yescharacteristic
156C4×C4⋊Dic61C2211yescharacteristic, complemented
157C4×C4⋊Dic61C2211yescharacteristic, complemented
158C4×C4⋊Dic61C2211yescharacteristic, complemented
159C4×C4⋊Dic61C2211yescharacteristic, complemented
160C4×C4⋊Dic61C2211yescharacteristic, complemented
161C4×C4⋊Dic61C2211yescharacteristic, complemented
162C4×#11758198C2211yescharacteristic
163C4×#11758198C2211yescharacteristic
164C4×#11758198C2211yescharacteristic
165C4×#11758198C2211yescharacteristic
166C4×#11758198C2211yescharacteristic
167C4×#11758198C2211yescharacteristic
168C4×#11758198C2211yescharacteristic, complemented
169C4×#11758198C2211yescharacteristic, complemented
170C4×#11758198C2211yescharacteristic, complemented
171C4×#11758198C2211yescharacteristic, complemented
172C4×#11758198C2211yescharacteristic, complemented
173C4×#11758198C2211yescharacteristic, complemented
174C2×#117×C61C2211yescharacteristic
175C61×#388C2211yescharacteristic
176C61×#388C2211yescharacteristic
177C61×#388C2211yescharacteristic
178C61×#388C2211yescharacteristic
179C61×#387C2211yescharacteristic, complemented
180C61×#387C2211yescharacteristic, complemented
181C61×#387C2211yescharacteristic, complemented
182C61×#387C2211yescharacteristic, complemented
183C4×C4⋊C4×C61C2211yescharacteristic, complemented
184C4×C4⋊C4×C61C2211yescharacteristic, complemented
185C4×C22⋊C4×C61C2211yescharacteristic
186C4×C22⋊C4×C61C2211yescharacteristic
187C61×#376C2211yescharacteristic, complemented
188C43×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C22×C4×D61—24no—
200C22×C4×D61—24no—
201C22×C4×D61—24no—
202C22×C4×D61C2311yescharacteristic
203C22×C4×D61C2311yescharacteristic
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214#14519772—24no—
215#14519770—24no—
216#14519767—24no—
217#14519763—24no—
218#14519762—24no—
219#14519759—24no—
220#14519757—24no—
221#14519755—24no—
222#14519752—24no—
223#14519750—24no—
224#14519747—24no—
225#14519747—24no—
226C4×Dic122—24no—
227C4×D244—24no—
228C4×D244—24no—
229C4×D244—24no—
230C4×D244—24no—
231C4×D244—24no—
232C4×D244—24no—
233C4×D244—24no—
234C4×C22⋊D61—24no—
235C4×C22⋊D61—24no—
236#14519736—24no—
237#14519735—24no—
238#14519735—24no—
239#14519734—24no—
240#14519734—24no—
241#14519734—24no—
242#14519733—24no—
243#14519733—24no—
244C2×C4⋊Dic61C2311yescharacteristic
245C2×C4⋊Dic61C2311yescharacteristic
246C2×C4⋊Dic61C2311yescharacteristic
247C2×C4⋊Dic61C2311yescharacteristic
248C2×C4⋊Dic61C2311yescharacteristic
249C2×C4⋊Dic61C2311yescharacteristic
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×C4⋊Dic61C2311yescharacteristic
254C2×C4⋊Dic61C2311yescharacteristic
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
270C4⋊C4×D61—24no—
271C4⋊C4×D61—24no—
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
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
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C22⋊C4×D61—24no—
311C22⋊C4×D61—24no—
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
322C42×D61—24no—
323C42×D61—24no—
324C42×D61—24no—
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
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349C23×C4×C61C2311yescharacteristic
350#117×C61D418yescomplemented
351C2×C4⋊C4×C61C2311yescharacteristic
352C2×C4⋊C4×C61C2311yescharacteristic
353C2×C4⋊C4×C61C2311yescharacteristic
354C2×C4⋊C4×C61C2311yescharacteristic
355C2×C4⋊C4×C61C2311yescharacteristic
356C2×C4⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C42×C61C2311yescharacteristic
364C2×C42×C61C2311yescharacteristic
365C2×C42×C61C2311yescharacteristic
366C2×C42×C61C2311yescharacteristic
367C2×C42×C61C2311yescharacteristic
368C2×C42×C61C2311yescharacteristic
369C2×C42×C61C2311yescharacteristic
370C2×C42×C61C2311yescharacteristic
371C2×C42×C61C2311yescharacteristic
372C2×C42×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
382#95×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385C24×C61C2411yescharacteristic
386C23×D61—22no—
387C23×D61—22no—
388C23×D61—22no—
389C23×D61—22no—
390C23×D61—22no—
391C23×D61—41no—
392C23×D61—41no—
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C22×C4×C61—22no—
398C22×C4×C61—22no—
399C22×C4×C61C2×D414yes—
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C22×C4×C61C2411yescharacteristic
405C22×C4×C61C2411yescharacteristic
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C2×C22⋊D61—22no—
415C2×C22⋊D61—22no—
416C2×C22⋊D61—22no—
417C2×C22⋊D61—22no—
418C2×C22⋊D61—41no—
419C2×C22⋊D61—41no—
420C22×Dic61—22no—
421C22×Dic61—22no—
422C22×Dic61—22no—
423C22×Dic61C2411yescharacteristic
424C22×Dic61C2411yescharacteristic
425C22×Dic61C2411yescharacteristic
426C22×Dic61C2411yescharacteristic
427C22×Dic61C2411yescharacteristic
428C22×Dic61C2411yescharacteristic
429C22×Dic61C2411yescharacteristic
430C22×Dic61C2411yescharacteristic
431C22×Dic61C2411yescharacteristic
432C22×Dic61C2411yescharacteristic
433C22×Dic61C2411yescharacteristic
434C22×Dic61C2411yescharacteristic
435C2×D244—22no—
436C2×D244—22no—
437C2×D244—22no—
438C2×D244—22no—
439C2×D244—22no—
440C2×D244—22no—
441C2×D244—22no—
442C2×D244—22no—
443C2×D244—22no—
444C2×D244—22no—
445C2×D244—22no—
446C2×D244—41no—
447C2×D244—41no—
448C2×D244—41no—
449C2×D244#4114yes—
450C2×C4×D61—232no—
451C2×C4×D61—22no—
452C2×C4×D61—22no—
453C2×C4×D61—22no—
454C2×C4×D61—22no—
455C2×C4×D61—22no—
456C2×C4×D61—22no—
457C2×C4×D61—22no—
458C2×C4×D61—22no—
459C2×C4×D61—22no—
460C2×C4×D61—22no—
461C2×C4×D61—22no—
462C2×C4×D61—22no—
463C2×C4×D61—22no—
464C2×C4×D61—22no—
465C2×C4×D61—22no—
466C2×C4×D61—22no—
467C2×C4×D61—22no—
468C2×C4×D61—22no—
469C2×C4×D61—22no—
470C2×C4×D61—22no—
471C2×C4×D61—22no—
472C2×C4×D61—22no—
473C2×C4×D61—22no—
474C2×C4×D61—22no—
475C2×C4×D61—22no—
476C2×C4×D61—22no—
477C2×C4×D61—22no—
478C2×C4×D61—22no—
479C2×C4×D61—41no—
480C2×C4×D61—41no—
481C2×C4×D61—41no—
482C2×C4×D61—41no—
483C2×C4×D61—41no—
484C2×C4×D61—41no—
485C2×C4×D61#4114yes—
486C2×C4×D61#4114yes—
487C2×Dic122—22no—
488C2×Dic122—22no—
489C2×Dic122—41no—
490C4⋊C4×C61—22no—
491C4⋊C4×C61—22no—
492C4⋊C4×C61—41no—
493C4⋊C4×C61—41no—
494C4⋊C4×C61C2×D414yes—
495C4⋊C4×C61C2×D414yes—
496C22⋊C4×C61—22no—
497C22⋊C4×C61—22no—
498C22⋊C4×C61—41no—
499C22⋊C4×C61—41no—
500C22⋊C4×C61C2×D414yes—
501C22⋊C4×C61C2×D414yes—
502C42×C61—22no—
503C42×C61—22no—
504C42×C61—22no—
505C42×C61—22no—
506C42×C61—22no—
507C42×C61—22no—
508C42×C61—41no—
509C42×C61—41no—
510C42×C61C2×D414yes—
511C42×C61C2×D414yes—
512C22⋊Dic61—22no—
513C22⋊Dic61—22no—
514C22⋊Dic61—22no—
515C22⋊Dic61—22no—
516#11758198—22no—
517#11758198—22no—
518#11758198—22no—
519#11758198—22no—
520#11758198—22no—
521#11758198—22no—
522#11758198—22no—
523#11758198—22no—
524#11758198—22no—
525#11758198—22no—
526#11758198—22no—
527#11758198—22no—
528#11758198—22no—
529#11758198—22no—
530#11758198—22no—
531#11758198—22no—
532#11758198—22no—
533#11758198—22no—
534#11758198—22no—
535#11758198—22no—
536#11758198—22no—
537#11758198—22no—
538#11758198—22no—
539#11758198—22no—
540#11758198—22no—
541#11758198—22no—
542#11758198—22no—
543#11758198—41no—
544#11758198—41no—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548#11758198—41no—
549#11758198#4114yes—
550C4⋊Dic61—22no—
551C4⋊Dic61—22no—
552C4⋊Dic61—22no—
553C4⋊Dic61—22no—
554C4⋊Dic61—22no—
555C4⋊Dic61—22no—
556C4⋊Dic61—22no—
557C4⋊Dic61—22no—
558C4⋊Dic61—22no—
559C4⋊Dic61—22no—
560C4⋊Dic61—22no—
561C4⋊Dic61—22no—
562C4⋊Dic61—41no—
563C4⋊Dic61—41no—
564C4⋊Dic61—41no—
565C4⋊Dic61—41no—
566#11758196—22no—
567#11758196—22no—
568#11758196—22no—
569#11758196—22no—
570#11758196—22no—
571#11758196—22no—
572#11758196—22no—
573#11758196—22no—
574#11758196—22no—
575#11758196—22no—
576C4×Dic61—22no—
577C4×Dic61—22no—
578C4×Dic61—22no—
579C4×Dic61—22no—
580C4×Dic61—22no—
581C4×Dic61—22no—
582C4×Dic61—22no—
583C4×Dic61—22no—
584C4×Dic61—22no—
585C4×Dic61—22no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61C22×D412yes—
593C23×C61C2511yescharacteristic
594C22×D61—21no—
595C22×D61—21no—
596C22×D61—21no—
597C22×D61—21no—
598C22×D61—28no—
599C22×D61—21no—
600C22×D61—21no—
601C22×D61—21no—
602C22×D61—21no—
603C22×D61—21no—
604C22×D61—21no—
605C22×D61—21no—
606C22×D61—21no—
607C22×D61—21no—
608C22×D61—21no—
609C22×D61—21no—
610C22×D61—21no—
611C22×D61—21no—
612C22×D61—21no—
613C22×D61—21no—
614C22×D61—21no—
615C22×D61—21no—
616C22×D61—21no—
617C22×D61—21no—
618C22×D61—44no—
619C22×D61—44no—
620C22×D61—44no—
621C22×D61—44no—
622C22×D61—44no—
623C22×D61—44no—
624C22×D61C2×#4112yes—
625C22×D61C2×#4112yes—
626C22×D61C2×#4112yes—
627C22×D61C2×#4112yes—
628C22×D61C2×#4112yes—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—28no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61C22×D412yes—
663C2×C4×C61C22×D412yes—
664C2×C4×C61C22×D412yes—
665C2×C4×C61C22×D412yes—
666C2×C4×C61C22×D412yes—
667C2×C4×C61C22×D412yes—
668C2×C4×C61C2×#4112yes—
669C2×C4×C61C2×#4112yes—
670C2×C4×C61C2×#4112yes—
671C2×C4×C61C2×#4112yes—
672C22⋊D61—44no—
673C22⋊D61—44no—
674C2×Dic61—28no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61C2×#4112yes—
709C2×Dic61C2×#4112yes—
710C2×Dic61C2×#4112yes—
711D244—28no—
712D244—44no—
713D244—44no—
714D244—44no—
715D244—44no—
716C4×D61—28no—
717C4×D61—28no—
718C4×D61—28no—
719C4×D61—28no—
720C4×D61—44no—
721C4×D61—44no—
722C4×D61—44no—
723C4×D61—44no—
724C4×D61—44no—
725C4×D61—44no—
726C4×D61—44no—
727C4×D61—44no—
728Dic122—44no—
729#34740—611nomaximal, Sylow
730C22×C61—22no—
731C22×C61—22no—
732C22×C61—22no—
733C22×C61—41no—
734C22×C61—41no—
735C22×C61—41no—
736C22×C61—41no—
737C22×C61C23×D411yescharacteristic
738C22×C61C22×#4111yescharacteristic
739C22×C61C22×#4111yescharacteristic
740C22×C61C22×#4111yescharacteristic
741C22×C61C22×#4111yescharacteristic
742C22×C61#58511yescharacteristic
743C22×C61#58511yescharacteristic
744C2×D61—22no—
745C2×D61—22no—
746C2×D61—22no—
747C2×D61—22no—
748C2×D61—22no—
749C2×D61—22no—
750C2×D61—22no—
751C2×D61—22no—
752C2×D61—22no—
753C2×D61—22no—
754C2×D61—22no—
755C2×D61—22no—
756C2×D61—416no—
757C2×D61—41no—
758C2×D61—41no—
759C2×D61—41no—
760C2×D61—41no—
761C2×D61—41no—
762C2×D61—41no—
763C2×D61—41no—
764C2×D61—41no—
765C2×D61—41no—
766C2×D61—41no—
767C2×D61—41no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61#52914yescomplemented
773C4×C61—22no—
774C4×C61—22no—
775C4×C61—22no—
776C4×C61—22no—
777C4×C61—22no—
778C4×C61—22no—
779C4×C61—22no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61#52514yes—
787Dic61—22no—
788Dic61—22no—
789Dic61—22no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799C2×#529—611no—
800C22×#117—611no—
801#2481—611no—
802#2480—611no—
803#2479—611no—
804#2478—611no—
805#2477—611no—
806#2476—611no—
807#2475—611no—
808#2474—611no—
809#2473—611no—
810#2472—611no—
811#2471—611no—
812#2470—611no—
813#2449—611no—
814#2443—611no—
815#2424—611no—
816#2418—611no—
817#2396—611no—
818#2395—611no—
819#2395—611no—
820#2392—611no—
821C4×C22⋊Q8—611no—
822C4×#121—611no—
823C4×#120—611no—
824C4×#120—611no—
825#2298D6111yescharacteristic, complemented
826#2293—611no—
827#2290—611no—
828#2290—611no—
829C42×D4—611no—
830C2×C61—42no—
831C2×C61C2×#52511yescharacteristic
832C2×C61C2×#52911yescharacteristic
833C2×C61#345511yescharacteristic
834C2×C61D4×#4111yescharacteristic
835C2×C61D4×#4111yescharacteristic
836C2×C61#347511yescharacteristic
837C2×C61#347511yescharacteristic
838D61—24no—
839D61—42no—
840D61—42no—
841D61—81no—
842C24×C4—611no—
843#529—1228no—
844C2×#126—611no—
845C2×#126—611no—
846C2×#125—611no—
847C2×#124—611no—
848C2×#123—611no—
849C2×#123—611no—
850C2×C22⋊Q8—611no—
851C2×C22⋊Q8—611no—
852C2×#121—611no—
853C2×#121—611no—
854C2×#120—611no—
855C2×#120—611no—
856C2×C4×Q8—611no—
857C2×C4×D4—611no—
858C2×C4×D4—611no—
859C2×C4×D4—611no—
860C2×C4×D4—611no—
861C2×C4×D4—611no—
862C2×C4×D4—611no—
863C2×C4×D4—611no—
864C2×C4×D4—611no—
865C2×C4×D4—611no—
866C2×#117—611no—
867C2×#117—611no—
868C2×#117—611no—
869C2×#117—611no—
870C2×#117—611no—
871C2×#117—611no—
872C2×#117—611no—
873C2×#117—611no—
874C2×#117—1228no—
875C2×#117C2×D6111yescharacteristic
876C22×C4⋊C4—611no—
877C22×C4⋊C4—611no—
878C22×C22⋊C4—611no—
879C22×C22⋊C4—611no—
880C22×C42—611no—
881C22×C42—611no—
882C22×C42—611no—
883#400—611no—
884#400—611no—
885#400—611no—
886#399—611no—
887#399—611no—
888#399—611no—
889#398—611no—
890#398—611no—
891#398—611no—
892#398—611no—
893#398—611no—
894#397—611no—
895#397—611no—
896#397—611no—
897#397—611no—
898#397—611no—
899#397—611no—
900#397—611no—
901#396—611no—
902#396—611no—
903#396—611no—
904#396—611no—
905#395—611no—
906#394—611no—
907#394—611no—
908#394—611no—
909#394—611no—
910#394—611no—
911#394—611no—
912#394—611no—
913#393—611no—
914#392—611no—
915#391—611no—
916#390—611no—
917#390—611no—
918#390—611no—
919#389—611no—
920#389—611no—
921#389—611no—
922#389—611no—
923#388—611no—
924#388—611no—
925#388—611no—
926#388—611no—
927#388—611no—
928#388—611no—
929#388—611no—
930#388—611no—
931#388—611no—
932#388—611no—
933#388C2×D6111yescharacteristic
934#388C2×D6111yescharacteristic
935#388C2×D6111yescharacteristic
936#388C2×D6111yescharacteristic
937#387—611no—
938#387—611no—
939#387—611no—
940#387—611no—
941#387—611no—
942#387—611no—
943#387C2×D6111yescharacteristic, complemented
944#387C2×D6111yescharacteristic, complemented
945#387C2×D6111yescharacteristic, complemented
946#387C2×D6111yescharacteristic, complemented
947#386—611no—
948#386—611no—
949#386—611no—
950#386—611no—
951#386—611no—
952#386—611no—
953#386—611no—
954#386—611no—
955#386—611no—
956#386—611no—
957#386—611no—
958#386—611no—
959#385—611no—
960#385—611no—
961#385—611no—
962#385—611no—
963#385—611no—
964#385—611no—
965#385—611no—
966#385—611no—
967#385—611no—
968#385—611no—
969#385—611no—
970#385—611no—
971#380—611no—
972#380—611no—
973#379—611no—
974#379—611no—
975C4×C4⋊C4—611no—
976C4×C4⋊C4—611no—
977C4×C4⋊C4—611no—
978C4×C4⋊C4—611no—
979C4×C4⋊C4—611no—
980C4×C4⋊C4—611no—
981C4×C4⋊C4C2×D6111yescharacteristic, complemented
982C4×C4⋊C4C2×D6111yescharacteristic, complemented
983C4×C22⋊C4—611no—
984C4×C22⋊C4—611no—
985C4×C22⋊C4—611no—
986C4×C22⋊C4—611no—
987C4×C22⋊C4—611no—
988C4×C22⋊C4—611no—
989C4×C22⋊C4—611no—
990C4×C22⋊C4—611no—
991C4×C22⋊C4—611no—
992C4×C22⋊C4—611no—
993C4×C22⋊C4—611no—
994C4×C22⋊C4—611no—
995C4×C22⋊C4C2×D6111yescharacteristic
996C4×C22⋊C4C2×D6111yescharacteristic
997#376C2×D6111yescharacteristic, complemented
998C43C2×D6111yescharacteristic, complemented
999C61#3474011yescharacteristic, complemented, Sylow
1000C25—611no—
1001C22×Q8—611no—
1002C22×D4—611no—
1003C22×D4—611no—
1004C22×D4—611no—
1005C22×D4—611no—
1006C22×D4—611no—
1007C22×D4—611no—
1008C22×D4—611no—
1009C23×C4—611no—
1010C23×C4—611no—
1011C23×C4—611no—
1012C23×C4—611no—
1013C23×C4—611no—
1014C23×C4—611no—
1015C23×C4—611no—
1016C23×C4—611no—
1017C23×C4—611no—
1018C23×C4—611no—
1019C23×C4—611no—
1020C23×C4—611no—
1021C23×C4—611no—
1022C23×C4—1224no—
1023C23×C4—1224no—
1024C23×C4—1224no—
1025C23×C4C22×D6111yescharacteristic
1026#126—1224no—
1027#126—1224no—
1028#125—1224no—
1029#124—1224no—
1030#123—1224no—
1031#123—1224no—
1032C22⋊Q8—1224no—
1033C22⋊Q8—1224no—
1034#121—1224no—
1035#121—1224no—
1036#120—1224no—
1037#120—1224no—
1038C4×Q8—1224no—
1039C4×D4—1224no—
1040C4×D4—1224no—
1041C4×D4—1224no—
1042C4×D4—1224no—
1043C4×D4—1224no—
1044C4×D4—1224no—
1045C4×D4—1224no—
1046C4×D4—1224no—
1047C4×D4—1224no—
1048#117—1224no—
1049#117—1224no—
1050#117—1224no—
1051#117—1224no—
1052#117—1224no—
1053#117—1224no—
1054#117—1224no—
1055#117—1224no—
1056#117D24418yescomplemented
1057C2×C4⋊C4—611no—
1058C2×C4⋊C4—611no—
1059C2×C4⋊C4—611no—
1060C2×C4⋊C4—611no—
1061C2×C4⋊C4—611no—
1062C2×C4⋊C4—611no—
1063C2×C4⋊C4—611no—
1064C2×C4⋊C4—611no—
1065C2×C4⋊C4—611no—
1066C2×C4⋊C4—611no—
1067C2×C4⋊C4—611no—
1068C2×C4⋊C4—611no—
1069C2×C4⋊C4—611no—
1070C2×C4⋊C4—611no—
1071C2×C4⋊C4—611no—
1072C2×C4⋊C4—611no—
1073C2×C4⋊C4—611no—
1074C2×C4⋊C4—611no—
1075C2×C4⋊C4—611no—
1076C2×C4⋊C4—611no—
1077C2×C4⋊C4—611no—
1078C2×C4⋊C4—611no—
1079C2×C4⋊C4—611no—
1080C2×C4⋊C4—611no—
1081C2×C4⋊C4—611no—
1082C2×C4⋊C4—611no—
1083C2×C4⋊C4—1224no—
1084C2×C4⋊C4—1224no—
1085C2×C4⋊C4C22×D6111yescharacteristic
1086C2×C4⋊C4C22×D6111yescharacteristic
1087C2×C4⋊C4C22×D6111yescharacteristic
1088C2×C4⋊C4C22×D6111yescharacteristic
1089C2×C4⋊C4C22×D6111yescharacteristic
1090C2×C4⋊C4C22×D6111yescharacteristic
1091C2×C22⋊C4—611no—
1092C2×C22⋊C4—611no—
1093C2×C22⋊C4—611no—
1094C2×C22⋊C4—611no—
1095C2×C22⋊C4—611no—
1096C2×C22⋊C4—611no—
1097C2×C22⋊C4—611no—
1098C2×C22⋊C4—611no—
1099C2×C22⋊C4—611no—
1100C2×C22⋊C4—611no—
1101C2×C22⋊C4—611no—
1102C2×C22⋊C4—611no—
1103C2×C22⋊C4—611no—
1104C2×C22⋊C4—611no—
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—611no—
1121C2×C22⋊C4—611no—
1122C2×C22⋊C4—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—611no—
1125C2×C22⋊C4—611no—
1126C2×C22⋊C4—611no—
1127C2×C22⋊C4—611no—
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—1224no—
1130C2×C22⋊C4—1224no—
1131C2×C22⋊C4C22×D6111yescharacteristic
1132C2×C22⋊C4C22×D6111yescharacteristic
1133C2×C22⋊C4C22×D6111yescharacteristic
1134C2×C22⋊C4C22×D6111yescharacteristic
1135C2×C22⋊C4C22×D6111yescharacteristic
1136C2×C22⋊C4C22×D6111yescharacteristic
1137C2×C42—611no—
1138C2×C42—611no—
1139C2×C42—611no—
1140C2×C42—611no—
1141C2×C42—611no—
1142C2×C42—611no—
1143C2×C42—611no—
1144C2×C42—611no—
1145C2×C42—611no—
1146C2×C42—611no—
1147C2×C42—1224no—
1148C2×C42—1224no—
1149C2×C42—1224no—
1150C2×C42C22×D6111yescharacteristic
1151C2×C42C22×D6111yescharacteristic
1152C2×C42C22×D6111yescharacteristic
1153C2×C42C22×D6111yescharacteristic
1154C2×C42C22×D6111yescharacteristic
1155C2×C42C22×D6111yescharacteristic
1156C2×C42C22×D6111yescharacteristic
1157C2×C42C22×D6111yescharacteristic
1158C2×C42C22×D6111yescharacteristic
1159C2×C42C22×D6111yescharacteristic
1160#95—611no—
1161#95—611no—
1162#95—611no—
1163#95—611no—
1164#95—611no—
1165#95—611no—
1166#95—611no—
1167#95—611no—
1168#95—611no—
1169#95—611no—
1170#95—611no—
1171#95—611no—
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95—611no—
1180#95—611no—
1181#95—611no—
1182#95—611no—
1183#95—611no—
1184#95C22×D6111yescharacteristic
1185#95C22×D6111yescharacteristic
1186#95C22×D6111yescharacteristic
1187#95C22×D6111yescharacteristic
1188#95C22×D6111yescharacteristic
1189#95C22×D6111yescharacteristic
1190#95C22×D6111yescharacteristic
1191#95C22×D6111yescharacteristic
1192#95C22×D6111yescharacteristic
1193#95C22×D6111yescharacteristic
1194#95C22×D6111yescharacteristic
1195#95C22×D6111yescharacteristic
1196C24—611no—
1197C24—611no—
1198C24—611no—
1199C24—611no—
1200C24—1222no—
1201C24—1222no—
1202C24—1222no—
1203C24—1222no—
1204C24—1222no—
1205C24—2441no—
1206C24—2441no—
1207C24C23×D6111yescharacteristic
1208C2×Q8—1222no—
1209C2×Q8—1222no—
1210C2×Q8—2441no—
1211C2×D4—614no—
1212C2×D4—1222no—
1213C2×D4—1222no—
1214C2×D4—1222no—
1215C2×D4—1222no—
1216C2×D4—1222no—
1217C2×D4—1222no—
1218C2×D4—1222no—
1219C2×D4—1222no—
1220C2×D4—1222no—
1221C2×D4—1222no—
1222C2×D4—1222no—
1223C2×D4—1222no—
1224C2×D4—1222no—
1225C2×D4—1222no—
1226C2×D4—1222no—
1227C2×D4—2441no—
1228C2×D4—2441no—
1229C2×D4—2441no—
1230C2×D4—2441no—
1231C2×D4—2441no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—611no—
1235C22×C4—611no—
1236C22×C4—611no—
1237C22×C4—614no—
1238C22×C4—614no—
1239C22×C4—611no—
1240C22×C4—611no—
1241C22×C4—611no—
1242C22×C4—611no—
1243C22×C4—611no—
1244C22×C4—611no—
1245C22×C4—611no—
1246C22×C4—611no—
1247C22×C4—611no—
1248C22×C4—1222no—
1249C22×C4—1222no—
1250C22×C4—1222no—
1251C22×C4—1222no—
1252C22×C4—1222no—
1253C22×C4—12232no—
1254C22×C4—1222no—
1255C22×C4—1222no—
1256C22×C4—1222no—
1257C22×C4—1222no—
1258C22×C4—1222no—
1259C22×C4—1222no—
1260C22×C4—1222no—
1261C22×C4—1222no—
1262C22×C4—1222no—
1263C22×C4—1222no—
1264C22×C4—1222no—
1265C22×C4—1222no—
1266C22×C4—1222no—
1267C22×C4—1222no—
1268C22×C4—1222no—
1269C22×C4—1222no—
1270C22×C4—1222no—
1271C22×C4—1222no—
1272C22×C4—1222no—
1273C22×C4—1222no—
1274C22×C4—1222no—
1275C22×C4—1222no—
1276C22×C4—1222no—
1277C22×C4—1222no—
1278C22×C4—1222no—
1279C22×C4—1222no—
1280C22×C4—2441no—
1281C22×C4—2441no—
1282C22×C4—2441no—
1283C22×C4—2441no—
1284C22×C4—2441no—
1285C22×C4—2441no—
1286C22×C4C2×D24414yes—
1287C22×C4C23×D6111yescharacteristic
1288C22×C4C23×D6111yescharacteristic
1289C22×C4C23×D6111yescharacteristic
1290C22×C4C23×D6111yescharacteristic
1291C22×C4C23×D6111yescharacteristic
1292C22×C4C23×D6111yescharacteristic
1293C22×C4C23×D6111yescharacteristic
1294C22×C4C23×D6111yescharacteristic
1295C22×C4C23×D6111yescharacteristic
1296C22×C4C23×D6111yescharacteristic
1297C22×C4C23×D6111yescharacteristic
1298C22×C4C23×D6111yescharacteristic
1299C22×C4C23×D6111yescharacteristic
1300C22×C4C23×D6111yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—1222no—
1306C4⋊C4—1222no—
1307C4⋊C4—1222no—
1308C4⋊C4—1222no—
1309C4⋊C4—1222no—
1310C4⋊C4—1222no—
1311C4⋊C4—1222no—
1312C4⋊C4—1222no—
1313C4⋊C4—1222no—
1314C4⋊C4—1222no—
1315C4⋊C4—1222no—
1316C4⋊C4—1222no—
1317C4⋊C4—1222no—
1318C4⋊C4—1222no—
1319C4⋊C4—1222no—
1320C4⋊C4—1222no—
1321C4⋊C4—1222no—
1322C4⋊C4—1222no—
1323C4⋊C4—1222no—
1324C4⋊C4—1222no—
1325C4⋊C4—1222no—
1326C4⋊C4—1222no—
1327C4⋊C4—2441no—
1328C4⋊C4—2441no—
1329C4⋊C4—2441no—
1330C4⋊C4—2441no—
1331C4⋊C4C2×D24414yes—
1332C4⋊C4C2×D24414yes—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—614no—
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—1222no—
1362C22⋊C4—1222no—
1363C22⋊C4—1222no—
1364C22⋊C4—1222no—
1365C22⋊C4—1222no—
1366C22⋊C4—1222no—
1367C22⋊C4—1222no—
1368C22⋊C4—1222no—
1369C22⋊C4—2441no—
1370C22⋊C4—2441no—
1371C22⋊C4—2441no—
1372C22⋊C4—2441no—
1373C22⋊C4—2441no—
1374C22⋊C4—2441no—
1375C22⋊C4C2×D24414yes—
1376C22⋊C4C2×D24414yes—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—41no—
1384C42—41no—
1385C42—1222no—
1386C42—1222no—
1387C42—1222no—
1388C42—1222no—
1389C42—1222no—
1390C42—1222no—
1391C42—1222no—
1392C42—1222no—
1393C42—1222no—
1394C42—1222no—
1395C42C2×D24414yes—
1396C42C2×D24414yes—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—612no—
1404C23—612no—
1405C23—612no—
1406C23—612no—
1407C23—612no—
1408C23—1228no—
1409C23—1221no—
1410C23—1221no—
1411C23—1221no—
1412C23—1221no—
1413C23—1221no—
1414C23—1221no—
1415C23—1221no—
1416C23—1221no—
1417C23—1221no—
1418C23—1221no—
1419C23—1221no—
1420C23—1221no—
1421C23—1221no—
1422C23—1221no—
1423C23—1221no—
1424C23—1221no—
1425C23—1221no—
1426C23—1221no—
1427C23—1221no—
1428C23—1221no—
1429C23—1221no—
1430C23—1221no—
1431C23—1221no—
1432C23—2444no—
1433C23—2444no—
1434C23—2444no—
1435C23—2444no—
1436C23—2444no—
1437C23—2444no—
1438C23C22×D24412yes—
1439C23C24×D6111yescharacteristic
1440Q8—2444no—
1441D4—1228no—
1442D4—2444no—
1443D4—2444no—
1444D4—2444no—
1445D4—2444no—
1446D4—2444no—
1447D4—2444no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—28no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—612no—
1482C2×C4—612no—
1483C2×C4—612no—
1484C2×C4—1228no—
1485C2×C4—1228no—
1486C2×C4—1228no—
1487C2×C4—1221no—
1488C2×C4—1221no—
1489C2×C4—1221no—
1490C2×C4—1221no—
1491C2×C4—1221no—
1492C2×C4—1221no—
1493C2×C4—1228no—
1494C2×C4—1228no—
1495C2×C4—1221no—
1496C2×C4—1221no—
1497C2×C4—1221no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—1221no—
1504C2×C4—1221no—
1505C2×C4—1221no—
1506C2×C4—1221no—
1507C2×C4—1221no—
1508C2×C4—1221no—
1509C2×C4—1221no—
1510C2×C4—1221no—
1511C2×C4—1221no—
1512C2×C4—1221no—
1513C2×C4—1221no—
1514C2×C4—1221no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—2444no—
1523C2×C4—2444no—
1524C2×C4—2444no—
1525C2×C4—2444no—
1526C2×C4—2444no—
1527C2×C4—2444no—
1528C2×C4—2444no—
1529C2×C4—2444no—
1530C2×C4C22×D24412yes—
1531C2×C4C22×D24412yes—
1532C2×C4C22×D24412yes—
1533C2×C4C22×D24412yes—
1534C2×C4C22×D24412yes—
1535C2×C4C22×D24412yes—
1536C2×C4#41×D6112yes—
1537C2×C4#41×D6112yes—
1538C2×C4#41×D6112yes—
1539C2×C4#41×D6112yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—614no—
1548C22—1222no—
1549C22—1222no—
1550C22—1222no—
1551C22—1222no—
1552C22—1222no—
1553C22—1222no—
1554C22—1222no—
1555C22—1222no—
1556C22—1222no—
1557C22—1222no—
1558C22—1222no—
1559C22—1222no—
1560C22—24416no—
1561C22—2441no—
1562C22—2441no—
1563C22—2441no—
1564C22—2441no—
1565C22—2441no—
1566C22—2441no—
1567C22—2441no—
1568C22—2441no—
1569C22—2441no—
1570C22—2441no—
1571C22—2441no—
1572C22—2441no—
1573C22—2441no—
1574C22—2441no—
1575C22—2441no—
1576C22C23×D24411yescharacteristic
1577C22C2×#41×D6111yescharacteristic
1578C22C2×#41×D6111yescharacteristic
1579C22C2×#41×D6111yescharacteristic
1580C22C2×#41×D6111yescharacteristic
1581C22#1684059811yescharacteristic
1582C22#1684059811yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—1222no—
1597C4—1222no—
1598C4—1222no—
1599C4—2441no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C4—2441no—
1608C4#1684027414yes—
1609C2—42no—
1610C2—1224no—
1611C2—4881no—
1612C2—2442no—
1613C2—2442no—
1614C2C2×#1684027411yescharacteristic
1615C2#529×D6111yescharacteristic
1616C2#2145920211yescharacteristic
1617C2#41×D24411yescharacteristic
1618C2#41×D24411yescharacteristic
1619C2#2145937111yescharacteristic
1620C2#2145937511yescharacteristic
subgroupG/H
centerC22×C4C23×D61
commutator, socle, cosocleC23×C61C25
FrattiniC23C24×D61
FittingC61×#2298C2
prime radical#21449360C2
hypercenter#2298D61
hypocenterC61#34740
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #2298

Complements

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

NH ≅ G/Ntype
1. C2×#16840290C2semidirect
2. C2×#117×D61C2semidirect
3. #21450078C2semidirect
4. #21450063C2semidirect
5. #21450048C2semidirect
6. #21450033C2semidirect
7. #21450018C2semidirect
8. #21450003C2semidirect
9. #21449988C2semidirect
10. #21449973C2semidirect
11. #21449958C2semidirect
12. #21449943C2semidirect
13. #21449928C2semidirect
14. #21449913C2semidirect
15. #21449633C2semidirect
16. #21449559C2semidirect
18. #21449286C2semidirect
19. #21449091C2semidirect
20. #21449079C2semidirect
21. #21449079C2semidirect
22. #21449059C2semidirect
23. C4×#14519757C2semidirect
24. C4×#14519752C2semidirect
25. C4×#14519747C2semidirect
26. C4×#14519747C2semidirect
27. #21448283C2semidirect
28. #21448263C2semidirect
29. #21448263C2semidirect
30. C42×D244C2semidirect
31. C61×#2298C2semidirect
34. C2×#14519772C22semidirect
36. C2×#14519767C22semidirect
38. C2×#14519762C22semidirect
41. C2×#14519755C22semidirect
46. C2×C4×Dic122C22semidirect
53. C2×C4×D244C22semidirect
61. C2×#14519734C22semidirect
71. C2×C42×D61C22semidirect
72. #16839702C22semidirect
73. #16839702C22semidirect
74. #16839702C22semidirect
76. #16839699C22semidirect
77. #16839699C22semidirect
78. #16839694C22semidirect
79. #16839694C22semidirect
80. #16839694C22semidirect
81. #16839692C22semidirect
82. #16839692C22semidirect
84. #16839689C22semidirect
85. #16839689C22semidirect
92. #16839684C22semidirect
93. #16839684C22semidirect
94. #16839683C22semidirect
95. #16839680C22semidirect
104. #16839667C22semidirect
107. #16839663C22semidirect
108. #16839661C22semidirect
109. #16839661C22semidirect
110. #16839660C22semidirect
111. #16839660C22semidirect
114. #16839654C22semidirect
115. #16839654C22semidirect
116. #16839654C22semidirect
117. #16839654C22semidirect
120. #16839653C22semidirect
121. #16839653C22semidirect
122. #16839647C22semidirect
123. #16839647C22semidirect
124. #16839647C22semidirect
125. #16839647C22semidirect
126. #16839647C22semidirect
127. #16839647C22semidirect
150. #16839636C22semidirect
151. #16839636C22semidirect
156. C4×C4⋊Dic61C22semidirect
157. C4×C4⋊Dic61C22semidirect
158. C4×C4⋊Dic61C22semidirect
159. C4×C4⋊Dic61C22semidirect
160. C4×C4⋊Dic61C22semidirect
161. C4×C4⋊Dic61C22semidirect
168. C4×#11758198C22semidirect
169. C4×#11758198C22semidirect
170. C4×#11758198C22semidirect
171. C4×#11758198C22semidirect
172. C4×#11758198C22semidirect
173. C4×#11758198C22semidirect
179. C61×#387C22semidirect
180. C61×#387C22semidirect
181. C61×#387C22semidirect
182. C61×#387C22semidirect
183. C4×C4⋊C4×C61C22semidirect
184. C4×C4⋊C4×C61C22semidirect
187. C61×#376C22semidirect
188. C43×C61C22semidirect
350. #117×C61D4semidirect
772. C2×D61#529semidirect
825. #2298D61semidirect
943. #387C2×D61semidirect
944. #387C2×D61semidirect
945. #387C2×D61semidirect
946. #387C2×D61semidirect
981. C4×C4⋊C4C2×D61semidirect
982. C4×C4⋊C4C2×D61semidirect
997. #376C2×D61semidirect
998. C43C2×D61semidirect
999. C61#34740semidirect
1056. #117D244semidirect

Maximal subgroups

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

subgroupindex
C2×#168402902
C2×#117×D612
#214500782
#214500632
#214500482
#214500332
#214500182
#214500032
#214499882
#214499732
#214499582
#214499432
#214499282
#214499132
#214496332
#214495592
#214493602
#214492862
#214490912
#214490792
#214490592
C4×#145197572
C4×#145197522
C4×#145197472
#214482832
#214482632
C42×D2442
C61×#22982
#3474061