Finite Group Databasebeta

← #29845362

Subgroups — #29845362

Order 15616.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840405C211yesmaximal, characteristic
2#21448980C211yesmaximal, characteristic, complemented
3#21448971C211yesmaximal, characteristic, complemented
4#21448961C211yesmaximal, characteristic, complemented
5#21448959C211yesmaximal, characteristic, complemented
6#21448863C211yesmaximal, characteristic, complemented
7#21448852C211yesmaximal, characteristic, complemented
8#21448812C211yesmaximal, characteristic, complemented
9#21448801C211yesmaximal, characteristic, complemented
10#21448760C211yesmaximal, characteristic, complemented
11#21448760C211yesmaximal, characteristic, complemented
12#21448662C211yesmaximal, characteristic, complemented
13#21448662C211yesmaximal, characteristic, complemented
14#21448648C211yesmaximal, characteristic, complemented
15#21448637C211yesmaximal, characteristic, complemented
16#21448634C211yesmaximal, characteristic, complemented
17#21448611C211yesmaximal, characteristic, complemented
18#21448579C211yesmaximal, characteristic, complemented
19#21448574C211yesmaximal, characteristic, complemented
20#21448521C211yesmaximal, characteristic, complemented
21#21448489C211yesmaximal, characteristic, complemented
22#21448479C211yesmaximal, characteristic, complemented
23#21448472C211yesmaximal, characteristic, complemented
24#21448463C211yesmaximal, characteristic, complemented
25#21448413C211yesmaximal, characteristic, complemented
26#21448410C211yesmaximal, characteristic, complemented
27#21448393C211yesmaximal, characteristic, complemented
28C4×#14519750C211yesmaximal, characteristic, complemented
29#21448263C211yesmaximal, characteristic, complemented
30#388×D61C211yesmaximal, characteristic, complemented
31C61×#2372C211yesmaximal, characteristic, complemented
32C22×#11758226C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34#16840405C4116yescomplemented
35C2×#14519759C2211yescharacteristic
36C2×#14519759C2211yescharacteristic
37C2×#14519753C2211yescharacteristic
38C2×#14519750C2211yescharacteristic
39C2×#14519750C2211yescharacteristic
40C2×#14519748C2211yescharacteristic
41C2×#14519747C2211yescharacteristic
42C2×#14519747C2211yescharacteristic
43C2×C4×D244C2211yescharacteristic
44C2×C4×D244C2211yescharacteristic
45C2×C4×D244C2211yescharacteristic, complemented
46C2×#14519739C2211yescharacteristic, complemented
47C2×C4×C22⋊D61C2211yescharacteristic
48C2×C4×C22⋊D61C2211yescharacteristic, complemented
49C2×#14519737C2211yescharacteristic
50C2×#14519737C2211yescharacteristic, complemented
51C2×#14519734C2211yescharacteristic, complemented
52C2×#14519734C2211yescharacteristic, complemented
53C2×C4⋊C4×D61C2211yescharacteristic, complemented
54C22×#11758198C2211yescharacteristic
55C22×#11758198C2211yescharacteristic
56C2×C22⋊C4×D61C2211yescharacteristic
57C2×C22⋊C4×D61C2211yescharacteristic
58C2×C22⋊C4×D61C2211yescharacteristic
59C2×C22⋊C4×D61C2211yescharacteristic
60C2×C42×D61C2211yescharacteristic, complemented
61#16839669C2211yescharacteristic, complemented
62#16839669C2211yescharacteristic, complemented
63#16839664C2211yescharacteristic
64#16839664C2211yescharacteristic
65#16839664C2211yescharacteristic, complemented
66#16839663C2211yescharacteristic, complemented
67#16839662C2211yescharacteristic
68#16839662C2211yescharacteristic
69#16839662C2211yescharacteristic, complemented
70#16839662C2211yescharacteristic, complemented
71#16839660C2211yescharacteristic, complemented
72#16839660C2211yescharacteristic, complemented
73#16839659C2211yescharacteristic, complemented
74#16839657C2211yescharacteristic, complemented
75#16839656C2211yescharacteristic, complemented
76#16839656C2211yescharacteristic, complemented
77#16839655C2211yescharacteristic, complemented
78#16839655C2211yescharacteristic, complemented
79#16839655C2211yescharacteristic, complemented
80#16839655C2211yescharacteristic, complemented
81#16839654C2211yescharacteristic
82#16839654C2211yescharacteristic
83#16839654C2211yescharacteristic, complemented
84#16839654C2211yescharacteristic, complemented
85#16839653C2211yescharacteristic
86#16839653C2211yescharacteristic
87#16839653C2211yescharacteristic
88#16839653C2211yescharacteristic
89#16839653C2211yescharacteristic, complemented
90#16839653C2211yescharacteristic, complemented
91#16839652C2211yescharacteristic
92#16839652C2211yescharacteristic
93#16839651C2211yescharacteristic
94#16839651C2211yescharacteristic
95#16839651C2211yescharacteristic
96#16839651C2211yescharacteristic
97#16839651C2211yescharacteristic, complemented
98#16839651C2211yescharacteristic, complemented
99#16839650C2211yescharacteristic, complemented
100#16839650C2211yescharacteristic, complemented
101#16839649C2211yescharacteristic, complemented
102#16839647C2211yescharacteristic, complemented
103#16839647C2211yescharacteristic, complemented
104#16839646C2211yescharacteristic, complemented
105#16839645C2211yescharacteristic, complemented
106#16839645C2211yescharacteristic, complemented
107#16839645C2211yescharacteristic, complemented
108#16839645C2211yescharacteristic, complemented
109#16839644C2211yescharacteristic, complemented
110#16839643C2211yescharacteristic, complemented
111#16839642C2211yescharacteristic
112#16839642C2211yescharacteristic
113#16839641C2211yescharacteristic
114#16839641C2211yescharacteristic, complemented
115#16839640C2211yescharacteristic
116#16839640C2211yescharacteristic
117#16839640C2211yescharacteristic
118#16839640C2211yescharacteristic
119#16839640C2211yescharacteristic
120#16839640C2211yescharacteristic
121#16839640C2211yescharacteristic, complemented
122#16839640C2211yescharacteristic, complemented
123#16839640C2211yescharacteristic, complemented
124#16839640C2211yescharacteristic, complemented
125#16839639C2211yescharacteristic
126#16839639C2211yescharacteristic, complemented
127#16839638C2211yescharacteristic
128#16839638C2211yescharacteristic
129#16839638C2211yescharacteristic, complemented
130#16839638C2211yescharacteristic, complemented
131#16839637C2211yescharacteristic, complemented
132#16839637C2211yescharacteristic, complemented
133#16839636C2211yescharacteristic, complemented
134#16839636C2211yescharacteristic, complemented
135#16839635C2211yescharacteristic, complemented
136#16839635C2211yescharacteristic, complemented
137#16839634C2211yescharacteristic, complemented
138#16839634C2211yescharacteristic, complemented
139#16839630C2211yescharacteristic, complemented
140#16839624C2211yescharacteristic
141#16839624C2211yescharacteristic
142#16839624C2211yescharacteristic, complemented
143#16839624C2211yescharacteristic, complemented
144#16839624C2211yescharacteristic, complemented
145#16839621C2211yescharacteristic
146#16839621C2211yescharacteristic, complemented
147#16839621C2211yescharacteristic, complemented
148#16839621C2211yescharacteristic, complemented
149#16839621C2211yescharacteristic, complemented
150#16839621C2211yescharacteristic, complemented
151#16839619C2211yescharacteristic, complemented
152#16839617C2211yescharacteristic
153#16839617C2211yescharacteristic
154#16839617C2211yescharacteristic
155#16839617C2211yescharacteristic
156C4×#11758196C2211yescharacteristic, complemented
157C4×C4⋊Dic61C2211yescharacteristic, complemented
158#16839613C2211yescharacteristic, complemented
159C22⋊C4×Dic61C2211yescharacteristic, complemented
160C22⋊C4×Dic61C2211yescharacteristic, complemented
161C4×#11758198C2211yescharacteristic, complemented
162C4×#11758198C2211yescharacteristic, complemented
163C4×#11758198C2211yescharacteristic, complemented
164C4×#11758198C2211yescharacteristic, complemented
165C4×#11758198C2211yescharacteristic, complemented
166C4×#11758198C2211yescharacteristic, complemented
167C4×#11758198C2211yescharacteristic, complemented
168#16839609C2211yescharacteristic
169#16839609C2211yescharacteristic, complemented
170#95×D61C2211yescharacteristic, complemented
171#95×D61C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173C2×#124×C61C2211yescharacteristic
174C61×#391C2211yescharacteristic, complemented
175C61×#391C2211yescharacteristic, complemented
176C61×#388C2211yescharacteristic, complemented
177C61×#388C2211yescharacteristic, complemented
178C61×#388C2211yescharacteristic, complemented
179C61×#388C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic
182C4×C22⋊C4×C61C2211yescharacteristic, complemented
183C4×C22⋊C4×C61C2211yescharacteristic, complemented
184C4×C22⋊C4×C61C2211yescharacteristic, complemented
185C4×C22⋊C4×C61C2211yescharacteristic, complemented
186C61×#376C2211yescharacteristic, complemented
187C61×#376C2211yescharacteristic, complemented
188C24×D61C2311yescharacteristic
189C24×D61C2311yescharacteristic
190C2×#11758226—42no—
191C2×#11758226—42no—
192C2×#11758226C2×C418yescomplemented
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C2×D4×D61—42no—
202C2×D4×D61—42no—
203C2×D4×D61C2×C418yescomplemented
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
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
218#14519759C2×C418yescomplemented
219#14519759C2×C418yescomplemented
220#14519753C2×C418yescomplemented
221#14519750C2×C418yescomplemented
222#14519750C2×C418yescomplemented
223#14519748C2×C418yescomplemented
224#14519747C2×C418yescomplemented
225#14519747C2×C418yescomplemented
226C4×D244—42no—
227C4×D244C2×C418yescomplemented
228C4×D244C2×C418yescomplemented
229#14519739—42no—
230C4×C22⋊D61—42no—
231C4×C22⋊D61—42no—
232#14519737—42no—
233#14519737—42no—
234#14519734—42no—
235#14519734—42no—
236C2×C4⋊Dic61C2311yescharacteristic
237C2×C4⋊Dic61C2311yescharacteristic
238C2×C4⋊Dic61C2311yescharacteristic
239C2×C4⋊Dic61C2311yescharacteristic
240C2×C4⋊Dic61C2311yescharacteristic
241C2×C4⋊Dic61C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C4⋊C4×D61—42no—
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×#11758198—42no—
264C2×#11758198—42no—
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
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
297C22⋊C4×D61—42no—
298C22⋊C4×D61—42no—
299C22⋊C4×D61C2×C418yescomplemented
300C22⋊C4×D61C2×C418yescomplemented
301C2×C4×Dic61C2311yescharacteristic
302C2×C4×Dic61C2311yescharacteristic
303C2×C4×Dic61C2311yescharacteristic
304C2×C4×Dic61C2311yescharacteristic
305C2×C4×Dic61C2311yescharacteristic
306C2×C4×Dic61C2311yescharacteristic
307C2×C4×Dic61C2311yescharacteristic
308C2×C4×Dic61C2311yescharacteristic
309C2×C4×Dic61C2311yescharacteristic
310C2×C4×Dic61C2311yescharacteristic
311C42×D61—42no—
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340C22×Q8×C61C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343C23×C4×C61C2311yescharacteristic
344#124×C61C2×C418yescomplemented
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C22⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61C2311yescharacteristic
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C42×C61C2311yescharacteristic
358C2×C42×C61C2311yescharacteristic
359C2×C42×C61C2311yescharacteristic
360C2×C42×C61C2311yescharacteristic
361C2×C42×C61C2311yescharacteristic
362C2×C42×C61C2311yescharacteristic
363C2×C42×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C23×D61—22no—
379C23×D61—22no—
380C23×D61—41no—
381C23×D61—41no—
382C23×D61—41no—
383C23×D61—41no—
384C23×D61—41no—
385C23×D61—41no—
386C23×D61—41no—
387C23×D61—41no—
388C23×D61—41no—
389C23×D61—41no—
390C23×D61C22×C414yes—
391C23×D61C22×C414yes—
392C23×D61C2411yescharacteristic
393C23×D61C2411yescharacteristic
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C2×Q8×C61—41no—
397C2×Q8×C61—41no—
398C2×Q8×C61C22×C414yes—
399C2×D4×C61—41no—
400C2×D4×C61—41no—
401C2×D4×C61C22×C414yes—
402C22×C4×C61—22no—
403C22×C4×C61—41no—
404C22×C4×C61—41no—
405C22×C4×C61—41no—
406C22×C4×C61—41no—
407C22×C4×C61—41no—
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C2×C22⋊D61—22no—
422C2×C22⋊D61—22no—
423C2×C22⋊D61—41no—
424C2×C22⋊D61—41no—
425C2×C22⋊D61—41no—
426C2×C22⋊D61—41no—
427C2×C22⋊D61—41no—
428C2×C22⋊D61—41no—
429C2×C22⋊D61C22×C414yes—
430C2×C22⋊D61C22×C414yes—
431C2×C22⋊D61C22×C414yes—
432C2×C22⋊D61C22×C414yes—
433C22×Dic61—41no—
434C22×Dic61—41no—
435C22×Dic61—41no—
436C22×Dic61—41no—
437C22×Dic61—41no—
438C22×Dic61—41no—
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C22×Dic61C2411yescharacteristic
446C22×Dic61C2411yescharacteristic
447C22×Dic61C2411yescharacteristic
448C22×Dic61C2411yescharacteristic
449C22×Dic61C2411yescharacteristic
450C22×Dic61C2411yescharacteristic
451#11758226—416no—
452D4×D61—416no—
453C2×D244—22no—
454C2×D244—22no—
455C2×D244—22no—
456C2×D244—22no—
457C2×D244—41no—
458C2×D244—41no—
459C2×D244—41no—
460C2×D244—41no—
461C2×D244C22×C414yes—
462C2×D244C22×C414yes—
463C2×D244C22×C414yes—
464C2×D244C22×C414yes—
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—41no—
474C2×C4×D61—41no—
475C2×C4×D61—41no—
476C2×C4×D61—41no—
477C2×C4×D61—41no—
478C2×C4×D61—41no—
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—41no—
486C2×C4×D61—41no—
487C2×C4×D61—41no—
488C2×C4×D61—41no—
489C2×C4×D61—41no—
490C2×C4×D61—41no—
491C2×C4×D61—41no—
492C2×C4×D61—41no—
493C2×C4×D61—41no—
494C2×C4×D61—41no—
495C2×C4×D61C22×C414yes—
496C2×C4×D61C22×C414yes—
497C2×C4×D61C22×C414yes—
498C2×C4×D61C22×C414yes—
499C2×C4×D61C22×C414yes—
500C2×C4×D61C22×C414yes—
501C4⋊C4×C61—41no—
502C4⋊C4×C61—41no—
503C22⋊C4×C61—22no—
504C22⋊C4×C61—41no—
505C22⋊C4×C61—41no—
506C22⋊C4×C61—41no—
507C22⋊C4×C61—41no—
508C22⋊C4×C61—41no—
509C22⋊C4×C61C22×C414yes—
510C22⋊C4×C61C22×C414yes—
511C22⋊C4×C61C22×C414yes—
512C22⋊C4×C61C22×C414yes—
513C42×C61—22no—
514C42×C61—41no—
515C42×C61—41no—
516C42×C61—41no—
517C42×C61—41no—
518C42×C61—41no—
519C42×C61C22×C414yes—
520C22⋊Dic61—41no—
521C22⋊Dic61—41no—
522C22⋊Dic61—41no—
523C22⋊Dic61—41no—
524C22⋊Dic61—41no—
525C22⋊Dic61—41no—
526C22⋊Dic61C22×C414yes—
527C22⋊Dic61C22×C414yes—
528#11758198—22no—
529#11758198—22no—
530#11758198—22no—
531#11758198—22no—
532#11758198—22no—
533#11758198—22no—
534#11758198—41no—
535#11758198—41no—
536#11758198—41no—
537#11758198—41no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198—41no—
543#11758198—41no—
544#11758198—41no—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548#11758198—41no—
549#11758198—41no—
550#11758198—41no—
551#11758198—41no—
552#11758198—41no—
553#11758198—41no—
554#11758198C22×C414yes—
555#11758198C22×C414yes—
556#11758198C22×C414yes—
557#11758198C22×C414yes—
558#11758198C22×C414yes—
559#11758198C22×C414yes—
560C4⋊Dic61—41no—
561C4⋊Dic61—41no—
562C4⋊Dic61—41no—
563C4⋊Dic61—41no—
564C4⋊Dic61C22×C414yes—
565C4⋊Dic61C22×C414yes—
566#11758196—22no—
567#11758196—41no—
568#11758196—41no—
569#11758196—41no—
570#11758196—41no—
571#11758196—41no—
572#11758196—41no—
573#11758196—41no—
574#11758196—41no—
575#11758196—41no—
576#11758196C22×C414yes—
577#11758196C22×C414yes—
578C4×Dic61—22no—
579C4×Dic61—41no—
580C4×Dic61—41no—
581C4×Dic61—41no—
582C4×Dic61—41no—
583C4×Dic61—41no—
584C4×Dic61—41no—
585C4×Dic61—41no—
586C4×Dic61—41no—
587C4×Dic61—41no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61C23×C412yes—
601C23×C61C23×C412yes—
602C23×C61C2511yescharacteristic
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—21no—
619C22×D61—21no—
620C22×D61—21no—
621C22×D61—21no—
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—28no—
626C22×D61—44no—
627C22×D61—44no—
628C22×D61—44no—
629C22×D61—44no—
630C22×D61—44no—
631C22×D61—82no—
632C22×D61—82no—
633C22×D61—82no—
634C22×D61—82no—
635C22×D61—82no—
636C22×D61—82no—
637C22×D61—82no—
638C22×D61—82no—
639C22×D61C23×C412yes—
640C22×D61C23×C412yes—
641C22×D61C23×C412yes—
642C22×D61C23×C412yes—
643C22×D61H(5,𝔽2)12yes—
644C22×D61H(5,𝔽2)12yes—
645Q8×C61—44no—
646D4×C61—44no—
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×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
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—82no—
681C2×C4×C61—82no—
682C2×C4×C61C23×C412yes—
683C2×C4×C61C23×C412yes—
684C2×C4×C61C23×C412yes—
685C2×C4×C61C23×C412yes—
686C2×C4×C61C23×C412yes—
687C2×C4×C61H(5,𝔽2)12yes—
688C22⋊D61—28no—
689C22⋊D61—44no—
690C22⋊D61—44no—
691C22⋊D61—44no—
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×Dic61—21no—
709C2×Dic61—21no—
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—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—82no—
725C2×Dic61—82no—
726C2×Dic61C23×C412yes—
727C2×Dic61C23×C412yes—
728C2×Dic61C23×C412yes—
729C2×Dic61C23×C412yes—
730D244—28no—
731D244—28no—
732D244—44no—
733D244—44no—
734C4×D61—28no—
735C4×D61—44no—
736C4×D61—44no—
737C4×D61—44no—
738C4×D61—44no—
739C4×D61—44no—
740C4×D61—44no—
741C4×D61—44no—
742C4×D61—82no—
743C4×D61—82no—
744C4×D61—82no—
745C4×D61—82no—
746#34492—611nomaximal, Sylow
747C22×C61—22no—
748C22×C61—22no—
749C22×C61—22no—
750C22×C61—22no—
751C22×C61—22no—
752C22×C61—22no—
753C22×C61—41no—
754C22×C61—41no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61—41no—
759C22×C61—41no—
760C22×C61—41no—
761C22×C61C24×C411yescharacteristic
762C22×C61C2×H(5,𝔽2)11yescharacteristic
763C22×C61C2×H(5,𝔽2)11yescharacteristic
764C22×C61C2×H(5,𝔽2)11yescharacteristic
765C22×C61#58511yescharacteristic
766C22×C61#58511yescharacteristic
767C22×C61#58511yescharacteristic
768C2×D61—22no—
769C2×D61—22no—
770C2×D61—22no—
771C2×D61—22no—
772C2×D61—22no—
773C2×D61—22no—
774C2×D61—22no—
775C2×D61—22no—
776C2×D61—22no—
777C2×D61—22no—
778C2×D61—22no—
779C2×D61—22no—
780C2×D61—22no—
781C2×D61—22no—
782C2×D61—22no—
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—88no—
796C2×D61—88no—
797C2×D61#51814yes—
798C4×C61—22no—
799C4×C61—22no—
800C4×C61—22no—
801C4×C61—22no—
802C4×C61—22no—
803C4×C61—22no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61—41no—
811Dic61—22no—
812Dic61—22no—
813Dic61—22no—
814Dic61—22no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823C2×#546—611no—
824#2378—611no—
825#2377—611no—
826#2376—611no—
827#2375—611no—
828#2372D6111yescharacteristic, complemented
829#2364—611no—
830#2363—611no—
831#2359—611no—
832#2358—611no—
833#2353—611no—
834#2353—611no—
835#2342—611no—
836#2342—611no—
837#2339—611no—
838D4×C22⋊C4—611no—
839#2337—611no—
840#2335—611no—
841#2333—611no—
842#2332—611no—
843#2325—611no—
844#2322—611no—
845#2321—611no—
846#2321—611no—
847#2319—611no—
848#2312—611no—
849#2311—611no—
850#2308—611no—
851C4×#121—611no—
852#2290—611no—
853C2×#388—611no—
854C2×C61—42no—
855C2×C61—42no—
856C2×C61C2×#51811yescharacteristic
857C2×C61#342811yescharacteristic
858C2×C61C4×H(5,𝔽2)11yescharacteristic
859C2×C61#353411yescharacteristic
860C2×C61#354211yescharacteristic
861C2×C61#354511yescharacteristic
862C2×C61#356011yescharacteristic
863D61—24no—
864D61—42no—
865D61—42no—
866D61—42no—
867C22×#41—611no—
868C23×D4—611no—
869#546—6116no—
870C2×#124C2×D6111yescharacteristic
871C2×#123—611no—
872C2×#123—611no—
873C2×C22⋊Q8—611no—
874C2×#121—611no—
875C2×#121—611no—
876C2×#121—611no—
877C2×#120—611no—
878C2×#120—611no—
879C2×C4×D4—611no—
880C2×C4×D4—611no—
881C2×C4×D4—611no—
882C2×C4×D4—611no—
883C2×C4×D4—611no—
884C2×C4×D4—611no—
885C2×C4×D4—611no—
886C2×C4×D4—611no—
887C2×#117—611no—
888C2×#117—611no—
889C22×C4⋊C4—611no—
890C22×C22⋊C4—611no—
891C22×C22⋊C4—611no—
892C22×C22⋊C4—611no—
893C22×C22⋊C4—611no—
894C22×C22⋊C4—611no—
895C22×C22⋊C4—611no—
896C22×C42—611no—
897#391—611no—
898#391—611no—
899#391C2×D6111yescharacteristic, complemented
900#391C2×D6111yescharacteristic, complemented
901#390—611no—
902#390—611no—
903#390—611no—
904#390—611no—
905#390—611no—
906#390—611no—
907#390—611no—
908#390—611no—
909#389—611no—
910#389—611no—
911#389—611no—
912#389—611no—
913#388—611no—
914#388—611no—
915#388—611no—
916#388—611no—
917#388—611no—
918#388—611no—
919#388—611no—
920#388—611no—
921#388—611no—
922#388—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#388—611no—
934#388—611no—
935#388—611no—
936#388—611no—
937#388—611no—
938#388—611no—
939#388C2×D6111yescharacteristic, complemented
940#388C2×D6111yescharacteristic, complemented
941#388C2×D6111yescharacteristic, complemented
942#388C2×D6111yescharacteristic, complemented
943#387—611no—
944#387—611no—
945#387—611no—
946#387—611no—
947#387—611no—
948#387—611no—
949#387—611no—
950#387—611no—
951#387—611no—
952#387—611no—
953#386—611no—
954#386—611no—
955#386—611no—
956#386—611no—
957#386—611no—
958#386—611no—
959#386—611no—
960#386—611no—
961#386—611no—
962#386—611no—
963#386—611no—
964#386—611no—
965#386—611no—
966#386—611no—
967#386—611no—
968#386—611no—
969#386—611no—
970#386—611no—
971#386—611no—
972#386—611no—
973#386C2×D6111yescharacteristic
974#386C2×D6111yescharacteristic
975#385—611no—
976#385—611no—
977#385—611no—
978#385—611no—
979#385—611no—
980#385—611no—
981#385—611no—
982#385—611no—
983#383—611no—
984#381—611no—
985#381—611no—
986#381—611no—
987#381—611no—
988#381—611no—
989#380—611no—
990#380—611no—
991#380—611no—
992#380—611no—
993#380—611no—
994#380—611no—
995#380—611no—
996#379—611no—
997#379—611no—
998#379—611no—
999#379—611no—
1000C4×C4⋊C4—611no—
1001C4×C4⋊C4—611no—
1002C4×C4⋊C4—611no—
1003C4×C22⋊C4—611no—
1004C4×C22⋊C4—611no—
1005C4×C22⋊C4—611no—
1006C4×C22⋊C4—611no—
1007C4×C22⋊C4—611no—
1008C4×C22⋊C4—611no—
1009C4×C22⋊C4—611no—
1010C4×C22⋊C4—611no—
1011C4×C22⋊C4—611no—
1012C4×C22⋊C4—611no—
1013C4×C22⋊C4—611no—
1014C4×C22⋊C4C2×D6111yescharacteristic, complemented
1015C4×C22⋊C4C2×D6111yescharacteristic, complemented
1016C4×C22⋊C4C2×D6111yescharacteristic, complemented
1017C4×C22⋊C4C2×D6111yescharacteristic, complemented
1018#376C2×D6111yescharacteristic, complemented
1019#376C2×D6111yescharacteristic, complemented
1020C2×#95—611no—
1021C2×#95—611no—
1022C2×#95—611no—
1023C61#3449211yescharacteristic, complemented, Sylow
1024C25—611no—
1025C25—611no—
1026C2×#41—618no—
1027C2×#41—2442no—
1028C2×#41—2442no—
1029C22×Q8C22×D6111yescharacteristic
1030C22×D4—611no—
1031C22×D4—611no—
1032C22×D4—611no—
1033C22×D4—611no—
1034C22×D4—618no—
1035C22×D4—611no—
1036C22×D4—611no—
1037C22×D4—611no—
1038C22×D4—611no—
1039C22×D4—2442no—
1040C22×D4—2442no—
1041C22×D4C22×D6111yescharacteristic
1042C23×C4—611no—
1043C23×C4—611no—
1044C23×C4—611no—
1045C23×C4—611no—
1046C23×C4—611no—
1047C23×C4—611no—
1048C23×C4—611no—
1049C23×C4—611no—
1050C23×C4—611no—
1051C23×C4—611no—
1052C23×C4—611no—
1053C23×C4—611no—
1054C23×C4—611no—
1055C23×C4—611no—
1056C23×C4C22×D6111yescharacteristic
1057C23×C4C22×D6111yescharacteristic
1058#124C4×D6118yescomplemented
1059#123—618no—
1060#123—618no—
1061C22⋊Q8—618no—
1062#121—618no—
1063#121—618no—
1064#121—618no—
1065#120—618no—
1066#120—618no—
1067C4×D4—618no—
1068C4×D4—618no—
1069C4×D4—2442no—
1070C4×D4—2442no—
1071C4×D4—2442no—
1072C4×D4—2442no—
1073C4×D4—2442no—
1074C4×D4—2442no—
1075#117—2442no—
1076#117—2442no—
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—611no—
1084C2×C4⋊C4—611no—
1085C2×C4⋊C4—611no—
1086C2×C4⋊C4—611no—
1087C2×C4⋊C4—611no—
1088C2×C4⋊C4—611no—
1089C2×C4⋊C4—611no—
1090C2×C4⋊C4—611no—
1091C2×C4⋊C4—611no—
1092C2×C4⋊C4—611no—
1093C2×C4⋊C4—611no—
1094C2×C4⋊C4—611no—
1095C2×C4⋊C4—2442no—
1096C2×C4⋊C4C22×D6111yescharacteristic
1097C2×C4⋊C4C22×D6111yescharacteristic
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—618no—
1107C2×C22⋊C4—618no—
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—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—611no—
1138C2×C22⋊C4—611no—
1139C2×C22⋊C4—611no—
1140C2×C22⋊C4—2442no—
1141C2×C22⋊C4—2442no—
1142C2×C22⋊C4—2442no—
1143C2×C22⋊C4—2442no—
1144C2×C22⋊C4C22×D6111yescharacteristic
1145C2×C22⋊C4C22×D6111yescharacteristic
1146C2×C22⋊C4C22×D6111yescharacteristic
1147C2×C22⋊C4C22×D6111yescharacteristic
1148C2×C22⋊C4C22×D6111yescharacteristic
1149C2×C22⋊C4C22×D6111yescharacteristic
1150C2×C22⋊C4C22×D6111yescharacteristic
1151C2×C22⋊C4C22×D6111yescharacteristic
1152C2×C22⋊C4C22×D6111yescharacteristic
1153C2×C22⋊C4C22×D6111yescharacteristic
1154C2×C42—611no—
1155C2×C42—611no—
1156C2×C42—611no—
1157C2×C42—611no—
1158C2×C42—611no—
1159C2×C42—611no—
1160C2×C42—611no—
1161C2×C42—611no—
1162C2×C42—611no—
1163C2×C42—611no—
1164C2×C42—2442no—
1165C2×C42C22×D6111yescharacteristic
1166C2×C42C22×D6111yescharacteristic
1167C2×C42C22×D6111yescharacteristic
1168C2×C42C22×D6111yescharacteristic
1169C2×C42C22×D6111yescharacteristic
1170C2×C42C22×D6111yescharacteristic
1171C2×C42C22×D6111yescharacteristic
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#95—611no—
1185#95—611no—
1186#95—611no—
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95—611no—
1191#95—611no—
1192#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196#95—611no—
1197#95—611no—
1198#95—611no—
1199#95—611no—
1200#95C22×D6111yescharacteristic
1201#95C22×D6111yescharacteristic
1202#95C22×D6111yescharacteristic
1203#95C22×D6111yescharacteristic
1204#95C22×D6111yescharacteristic
1205#95C22×D6111yescharacteristic
1206#95C22×D6111yescharacteristic
1207#95C22×D6111yescharacteristic
1208#95C22×D6111yescharacteristic
1209#95C22×D6111yescharacteristic
1210#95C22×D6111yescharacteristic
1211#95C22×D6111yescharacteristic
1212C24—611no—
1213C24—611no—
1214C24—611no—
1215C24—611no—
1216C24—614no—
1217C24—614no—
1218C24—1222no—
1219C24—1222no—
1220C24—2441no—
1221C24—2441no—
1222C24—2441no—
1223C24—2441no—
1224C24—2441no—
1225C24—2441no—
1226C24—2441no—
1227C24—2441no—
1228C24—2441no—
1229C24—2441no—
1230C24C23×D6111yescharacteristic
1231C24C23×D6111yescharacteristic
1232#41—24416no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8C2×C4×D6114yes—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—614no—
1239C2×D4—614no—
1240C2×D4—614no—
1241C2×D4—614no—
1242C2×D4—614no—
1243C2×D4—614no—
1244C2×D4—614no—
1245C2×D4—614no—
1246C2×D4—1222no—
1247C2×D4—1222no—
1248C2×D4—1222no—
1249C2×D4—1222no—
1250C2×D4—1222no—
1251C2×D4—1222no—
1252C2×D4—2441no—
1253C2×D4—2441no—
1254C2×D4—2441no—
1255C2×D4—2441no—
1256C2×D4—2441no—
1257C2×D4—2441no—
1258C2×D4—2441no—
1259C2×D4—2441no—
1260C2×D4—2441no—
1261C2×D4—2441no—
1262C2×D4—24416no—
1263C2×D4C2×C4×D6114yes—
1264C22×C4—22no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—611no—
1271C22×C4—611no—
1272C22×C4—611no—
1273C22×C4—611no—
1274C22×C4—614no—
1275C22×C4—614no—
1276C22×C4—614no—
1277C22×C4—614no—
1278C22×C4—614no—
1279C22×C4—614no—
1280C22×C4—611no—
1281C22×C4—611no—
1282C22×C4—611no—
1283C22×C4—611no—
1284C22×C4—611no—
1285C22×C4—611no—
1286C22×C4—611no—
1287C22×C4—611no—
1288C22×C4—1222no—
1289C22×C4—1222no—
1290C22×C4—1222no—
1291C22×C4—1222no—
1292C22×C4—1222no—
1293C22×C4—1222no—
1294C22×C4—1222no—
1295C22×C4—1222no—
1296C22×C4—2441no—
1297C22×C4—2441no—
1298C22×C4—2441no—
1299C22×C4—2441no—
1300C22×C4—2441no—
1301C22×C4—2441no—
1302C22×C4—2441no—
1303C22×C4—2441no—
1304C22×C4—2441no—
1305C22×C4—2441no—
1306C22×C4—2441no—
1307C22×C4—2441no—
1308C22×C4—2441no—
1309C22×C4—2441no—
1310C22×C4—2441no—
1311C22×C4—2441no—
1312C22×C4—2441no—
1313C22×C4—2441no—
1314C22×C4—2441no—
1315C22×C4—2441no—
1316C22×C4—2441no—
1317C22×C4—2441no—
1318C22×C4—2441no—
1319C22×C4—2441no—
1320C22×C4—2441no—
1321C22×C4—2441no—
1322C22×C4—2441no—
1323C22×C4—2441no—
1324C22×C4C23×D6111yescharacteristic
1325C22×C4C23×D6111yescharacteristic
1326C22×C4C23×D6111yescharacteristic
1327C22×C4C23×D6111yescharacteristic
1328C22×C4C23×D6111yescharacteristic
1329C22×C4C23×D6111yescharacteristic
1330C22×C4C23×D6111yescharacteristic
1331C22×C4C23×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333C22×C4C23×D6111yescharacteristic
1334C22×C4C23×D6111yescharacteristic
1335C22×C4C23×D6111yescharacteristic
1336C22×C4C23×D6111yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—614no—
1340C4⋊C4—614no—
1341C4⋊C4—614no—
1342C4⋊C4—614no—
1343C4⋊C4—1222no—
1344C4⋊C4—2441no—
1345C4⋊C4—2441no—
1346C4⋊C4—2441no—
1347C4⋊C4—2441no—
1348C4⋊C4—2441no—
1349C4⋊C4—2441no—
1350C4⋊C4—2441no—
1351C4⋊C4—2441no—
1352C4⋊C4—2441no—
1353C4⋊C4—2441no—
1354C4⋊C4—2441no—
1355C4⋊C4—2441no—
1356C4⋊C4—2441no—
1357C22⋊C4—22no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—614no—
1364C22⋊C4—614no—
1365C22⋊C4—614no—
1366C22⋊C4—614no—
1367C22⋊C4—614no—
1368C22⋊C4—614no—
1369C22⋊C4—614no—
1370C22⋊C4—614no—
1371C22⋊C4—1222no—
1372C22⋊C4—1222no—
1373C22⋊C4—1222no—
1374C22⋊C4—1222no—
1375C22⋊C4—1222no—
1376C22⋊C4—1222no—
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⋊C4—2441no—
1389C22⋊C4—2441no—
1390C22⋊C4—2441no—
1391C22⋊C4—2441no—
1392C22⋊C4—2441no—
1393C22⋊C4—2441no—
1394C22⋊C4—2441no—
1395C22⋊C4—2441no—
1396C22⋊C4—2441no—
1397C22⋊C4—2441no—
1398C22⋊C4—2441no—
1399C22⋊C4—2441no—
1400C22⋊C4—2441no—
1401C22⋊C4—2441no—
1402C22⋊C4—2441no—
1403C22⋊C4C2×C4×D6114yes—
1404C22⋊C4C2×C4×D6114yes—
1405C22⋊C4C2×C4×D6114yes—
1406C22⋊C4C2×C4×D6114yes—
1407C42—22no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—1222no—
1414C42—2441no—
1415C42—2441no—
1416C42—2441no—
1417C42—2441no—
1418C42—2441no—
1419C42—2441no—
1420C42—2441no—
1421C42—2441no—
1422C42—2441no—
1423C42C2×C4×D6114yes—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—612no—
1437C23—612no—
1438C23—612no—
1439C23—612no—
1440C23—612no—
1441C23—612no—
1442C23—1228no—
1443C23—1221no—
1444C23—1221no—
1445C23—1221no—
1446C23—1221no—
1447C23—1221no—
1448C23—1221no—
1449C23—1221no—
1450C23—1221no—
1451C23—1221no—
1452C23—1221no—
1453C23—1221no—
1454C23—1221no—
1455C23—1221no—
1456C23—1221no—
1457C23—1221no—
1458C23—1221no—
1459C23—1221no—
1460C23—1221no—
1461C23—1221no—
1462C23—1221no—
1463C23—1221no—
1464C23—1221no—
1465C23—4882no—
1466C23—4882no—
1467C23—4882no—
1468C23—4882no—
1469C23—4882no—
1470C23—4882no—
1471C23—4882no—
1472C23—4882no—
1473C23—2444no—
1474C23—2444no—
1475C23—2444no—
1476C23—2444no—
1477C23—2444no—
1478C23C22×C4×D6112yes—
1479C23C22×C4×D6112yes—
1480C23C24×D6111yescharacteristic
1481Q8—44no—
1482D4—44no—
1483D4—1228no—
1484D4—1228no—
1485D4—1228no—
1486D4—2444no—
1487D4—2444no—
1488D4—2444no—
1489D4—2444no—
1490D4—2444no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4—612no—
1527C2×C4—612no—
1528C2×C4—612no—
1529C2×C4—612no—
1530C2×C4—1228no—
1531C2×C4—1221no—
1532C2×C4—1221no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—4882no—
1564C2×C4—4882no—
1565C2×C4—4882no—
1566C2×C4—4882no—
1567C2×C4—4882no—
1568C2×C4—4882no—
1569C2×C4—2444no—
1570C2×C4—2444no—
1571C2×C4—2444no—
1572C2×C4—2444no—
1573C2×C4—2444no—
1574C2×C4—2444no—
1575C2×C4—2444no—
1576C2×C4C22×C4×D6112yes—
1577C2×C4C22×C4×D6112yes—
1578C2×C4C22×C4×D6112yes—
1579C2×C4C22×C4×D6112yes—
1580C2×C4C22×C4×D6112yes—
1581C2×C4#1451982312yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—614no—
1597C22—1222no—
1598C22—1222no—
1599C22—1222no—
1600C22—1222no—
1601C22—1222no—
1602C22—1222no—
1603C22—1222no—
1604C22—1222no—
1605C22—1222no—
1606C22—1222no—
1607C22—1222no—
1608C22—1222no—
1609C22—1222no—
1610C22—1222no—
1611C22—1222no—
1612C22—4888no—
1613C22—4888no—
1614C22—2441no—
1615C22—2441no—
1616C22—2441no—
1617C22—2441no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22C23×C4×D6111yescharacteristic
1627C22H(5,𝔽2)×D6111yescharacteristic
1628C22H(5,𝔽2)×D6111yescharacteristic
1629C22C2×#1451982311yescharacteristic
1630C22#1684059811yescharacteristic
1631C22#1684059811yescharacteristic
1632C22#1684059811yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—1222no—
1647C4—1222no—
1648C4—1222no—
1649C4—1222no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C4—2441no—
1656C4—2441no—
1657C4—2441no—
1658C2—42no—
1659C2—42no—
1660C2—1224no—
1661C2—2442no—
1662C2—2442no—
1663C2—2442no—
1664C2#518×D6111yescharacteristic
1665C2#2145901811yescharacteristic
1666C2C4×#1451982311yescharacteristic
1667C2#2146001211yescharacteristic
1668C2#2146014211yescharacteristic
1669C2#2146016511yescharacteristic
1670C2#2146036611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2372C2
socle, cosocleC23×C61C25
prime radicalC2×#16840405C2
hypercenter#2372D61
hypocenterC61#34492
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2372

Complements

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

NH ≅ G/Ntype
2. #21448980C2semidirect
3. #21448971C2semidirect
4. #21448961C2semidirect
5. #21448959C2semidirect
6. #21448863C2semidirect
7. #21448852C2semidirect
8. #21448812C2semidirect
9. #21448801C2semidirect
10. #21448760C2semidirect
11. #21448760C2semidirect
12. #21448662C2semidirect
13. #21448662C2semidirect
14. #21448648C2semidirect
15. #21448637C2semidirect
16. #21448634C2semidirect
17. #21448611C2semidirect
18. #21448579C2semidirect
19. #21448574C2semidirect
20. #21448521C2semidirect
21. #21448489C2semidirect
22. #21448479C2semidirect
23. #21448472C2semidirect
24. #21448463C2semidirect
25. #21448413C2semidirect
26. #21448410C2semidirect
27. #21448393C2semidirect
28. C4×#14519750C2semidirect
29. #21448263C2semidirect
30. #388×D61C2semidirect
31. C61×#2372C2semidirect
34. #16840405C4semidirect
45. C2×C4×D244C22semidirect
46. C2×#14519739C22semidirect
48. C2×C4×C22⋊D61C22semidirect
50. C2×#14519737C22semidirect
51. C2×#14519734C22semidirect
52. C2×#14519734C22semidirect
53. C2×C4⋊C4×D61C22semidirect
60. C2×C42×D61C22semidirect
61. #16839669C22semidirect
62. #16839669C22semidirect
65. #16839664C22semidirect
66. #16839663C22semidirect
69. #16839662C22semidirect
70. #16839662C22semidirect
71. #16839660C22semidirect
72. #16839660C22semidirect
73. #16839659C22semidirect
74. #16839657C22semidirect
75. #16839656C22semidirect
76. #16839656C22semidirect
77. #16839655C22semidirect
78. #16839655C22semidirect
79. #16839655C22semidirect
80. #16839655C22semidirect
83. #16839654C22semidirect
84. #16839654C22semidirect
89. #16839653C22semidirect
90. #16839653C22semidirect
97. #16839651C22semidirect
98. #16839651C22semidirect
99. #16839650C22semidirect
100. #16839650C22semidirect
101. #16839649C22semidirect
102. #16839647C22semidirect
103. #16839647C22semidirect
104. #16839646C22semidirect
105. #16839645C22semidirect
106. #16839645C22semidirect
107. #16839645C22semidirect
108. #16839645C22semidirect
109. #16839644C22semidirect
110. #16839643C22semidirect
114. #16839641C22semidirect
121. #16839640C22semidirect
122. #16839640C22semidirect
123. #16839640C22semidirect
124. #16839640C22semidirect
126. #16839639C22semidirect
129. #16839638C22semidirect
130. #16839638C22semidirect
131. #16839637C22semidirect
132. #16839637C22semidirect
133. #16839636C22semidirect
134. #16839636C22semidirect
135. #16839635C22semidirect
136. #16839635C22semidirect
137. #16839634C22semidirect
138. #16839634C22semidirect
139. #16839630C22semidirect
142. #16839624C22semidirect
143. #16839624C22semidirect
144. #16839624C22semidirect
146. #16839621C22semidirect
147. #16839621C22semidirect
148. #16839621C22semidirect
149. #16839621C22semidirect
150. #16839621C22semidirect
151. #16839619C22semidirect
156. C4×#11758196C22semidirect
157. C4×C4⋊Dic61C22semidirect
158. #16839613C22semidirect
159. C22⋊C4×Dic61C22semidirect
160. C22⋊C4×Dic61C22semidirect
161. C4×#11758198C22semidirect
162. C4×#11758198C22semidirect
163. C4×#11758198C22semidirect
164. C4×#11758198C22semidirect
165. C4×#11758198C22semidirect
166. C4×#11758198C22semidirect
167. C4×#11758198C22semidirect
169. #16839609C22semidirect
170. #95×D61C22semidirect
171. #95×D61C22semidirect
172. #95×D61C22semidirect
174. C61×#391C22semidirect
175. C61×#391C22semidirect
176. C61×#388C22semidirect
177. C61×#388C22semidirect
178. C61×#388C22semidirect
179. C61×#388C22semidirect
182. C4×C22⋊C4×C61C22semidirect
183. C4×C22⋊C4×C61C22semidirect
184. C4×C22⋊C4×C61C22semidirect
185. C4×C22⋊C4×C61C22semidirect
186. C61×#376C22semidirect
187. C61×#376C22semidirect
192. C2×#11758226C2×C4semidirect
203. C2×D4×D61C2×C4semidirect
218. #14519759C2×C4semidirect
219. #14519759C2×C4semidirect
220. #14519753C2×C4semidirect
221. #14519750C2×C4semidirect
222. #14519750C2×C4semidirect
223. #14519748C2×C4semidirect
224. #14519747C2×C4semidirect
225. #14519747C2×C4semidirect
227. C4×D244C2×C4semidirect
228. C4×D244C2×C4semidirect
299. C22⋊C4×D61C2×C4semidirect
300. C22⋊C4×D61C2×C4semidirect
344. #124×C61C2×C4semidirect
828. #2372D61semidirect
899. #391C2×D61semidirect
900. #391C2×D61semidirect
939. #388C2×D61semidirect
940. #388C2×D61semidirect
941. #388C2×D61semidirect
942. #388C2×D61semidirect
1014. C4×C22⋊C4C2×D61semidirect
1015. C4×C22⋊C4C2×D61semidirect
1016. C4×C22⋊C4C2×D61semidirect
1017. C4×C22⋊C4C2×D61semidirect
1018. #376C2×D61semidirect
1019. #376C2×D61semidirect
1023. C61#34492semidirect
1058. #124C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168404052
#214489802
#214489712
#214489612
#214489592
#214488632
#214488522
#214488122
#214488012
#214487602
#214486622
#214486482
#214486372
#214486342
#214486112
#214485792
#214485742
#214485212
#214484892
#214484792
#214484722
#214484632
#214484132
#214484102
#214483932
C4×#145197502
#214482632
#388×D612
C61×#23722
#3449261