Finite Group Databasebeta

← #29852657

Subgroups — #29852657

Order 15616.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840358C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D61C211yesmaximal, characteristic, complemented
3#21454114C211yesmaximal, characteristic, complemented
4#21454110C211yesmaximal, characteristic, complemented
5#21454103C211yesmaximal, characteristic, complemented
6#21454100C211yesmaximal, characteristic
7#21451631C211yesmaximal, characteristic, complemented
8#21451604C211yesmaximal, characteristic, complemented
9#21451600C211yesmaximal, characteristic, complemented
10#21451566C211yesmaximal, characteristic, complemented
11#21450085C211yesmaximal, characteristic, complemented
12#21450081C211yesmaximal, characteristic, complemented
13#21450078C211yesmaximal, characteristic, complemented
14#21450074C211yesmaximal, characteristic, complemented
15#21449966C211yesmaximal, characteristic, complemented
16#21449962C211yesmaximal, characteristic, complemented
17#21449957C211yesmaximal, characteristic, complemented
18#21449953C211yesmaximal, characteristic, complemented
19#21449625C211yesmaximal, characteristic, complemented
20#21449624C211yesmaximal, characteristic, complemented
21#21449621C211yesmaximal, characteristic, complemented
22#21449560C211yesmaximal, characteristic, complemented
23#21449557C211yesmaximal, characteristic, complemented
24#21449553C211yesmaximal, characteristic, complemented
25#21449548C211yesmaximal, characteristic, complemented
26#21448486C211yesmaximal, characteristic, complemented
27#21448483C211yesmaximal, characteristic, complemented
28#21448418C211yesmaximal, characteristic, complemented
29#21448320C211yesmaximal, characteristic, complemented
30C4×#14519745C211yesmaximal, characteristic, complemented
31C61×#2449C211yesmaximal, characteristic, complemented
32C23×C4×D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840358—28no—
36C2×#14519772C2211yescharacteristic, complemented
37C2×#14519770C2211yescharacteristic, complemented
38C2×#14519767C2211yescharacteristic, complemented
39C2×#14519767C2211yescharacteristic, complemented
40C2×#14519762C2211yescharacteristic
41C2×#14519762C2211yescharacteristic
42C2×#14519760C2211yescharacteristic, complemented
43C2×#14519759C2211yescharacteristic
44C2×#14519759C2211yescharacteristic
45C2×#14519759C2211yescharacteristic, complemented
46C2×#14519753C2211yescharacteristic
47C2×#14519753C2211yescharacteristic
48C2×#14519753C2211yescharacteristic, complemented
49C2×#14519750C2211yescharacteristic
50C2×#14519750C2211yescharacteristic
51C2×#14519749C2211yescharacteristic
52C2×#14519747C2211yescharacteristic
53C2×#14519745C2211yescharacteristic
54C2×#14519739C2211yescharacteristic
55C2×#14519739C2211yescharacteristic
56C2×C4×C22⋊D61C2211yescharacteristic
57C2×C4×C22⋊D61C2211yescharacteristic
58C2×#14519737C2211yescharacteristic
59C22×C4⋊Dic61C2211yescharacteristic
60C22×#11758196C2211yescharacteristic
61C22×#11758196C2211yescharacteristic
62C2×C4⋊C4×D61—28no—
63C2×C4⋊C4×D61C2211yescharacteristic
64C2×C4⋊C4×D61C2211yescharacteristic
65C2×C4⋊C4×D61C2211yescharacteristic
66C2×C4⋊C4×D61C2211yescharacteristic
67C2×C4⋊C4×D61C2211yescharacteristic
68C2×C4⋊C4×D61C2211yescharacteristic
69C2×C4⋊C4×D61C2211yescharacteristic
70C2×C4⋊C4×D61C2211yescharacteristic
71#16839703C2211yescharacteristic, complemented
72#16839703C2211yescharacteristic, complemented
73#16839702C2211yescharacteristic, complemented
74#16839702C2211yescharacteristic, complemented
75#16839701C2211yescharacteristic, complemented
76#16839700C2211yescharacteristic, complemented
77#16839698C2211yescharacteristic, complemented
78#16839697C2211yescharacteristic, complemented
79#16839697C2211yescharacteristic, complemented
80#16839696C2211yescharacteristic, complemented
81#16839696C2211yescharacteristic, complemented
82#16839696C2211yescharacteristic, complemented
83#16839695C2211yescharacteristic, complemented
84#16839695C2211yescharacteristic, complemented
85#16839695C2211yescharacteristic, complemented
86#16839693C2211yescharacteristic, complemented
87#16839693C2211yescharacteristic, complemented
88#16839692C2211yescharacteristic, complemented
89#16839690C2211yescharacteristic, complemented
90#16839690C2211yescharacteristic, complemented
91#16839689C2211yescharacteristic, complemented
92#16839688C2211yescharacteristic, complemented
93#16839685C2211yescharacteristic, complemented
94#16839684C2211yescharacteristic, complemented
95#16839684C2211yescharacteristic, complemented
96#16839681C2211yescharacteristic, complemented
97#16839678C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic, complemented
99#16839659C2211yescharacteristic, complemented
100#16839658C2211yescharacteristic, complemented
101#16839657C2211yescharacteristic, complemented
102#16839655C2211yescharacteristic, complemented
103#16839653C2211yescharacteristic, complemented
104#16839652C2211yescharacteristic, complemented
105#16839650C2211yescharacteristic, complemented
106#16839649C2211yescharacteristic, complemented
107#16839648C2211yescharacteristic, complemented
108#16839648C2211yescharacteristic, complemented
109#16839647C2211yescharacteristic, complemented
110#16839647C2211yescharacteristic, complemented
111#16839646C2211yescharacteristic, complemented
112#16839645C2211yescharacteristic, complemented
113#16839644C2211yescharacteristic, complemented
114#16839644C2211yescharacteristic, complemented
115#16839643C2211yescharacteristic, complemented
116#16839643C2211yescharacteristic, complemented
117#16839642C2211yescharacteristic
118#16839642C2211yescharacteristic
119#16839641C2211yescharacteristic
120#16839641C2211yescharacteristic
121#16839641C2211yescharacteristic
122#16839640C2211yescharacteristic
123#16839640C2211yescharacteristic
124#16839640C2211yescharacteristic
125#16839640C2211yescharacteristic
126#16839640C2211yescharacteristic
127#16839640C2211yescharacteristic
128#16839639C2211yescharacteristic
129#16839638C2211yescharacteristic
130#16839638C2211yescharacteristic
131#16839638C2211yescharacteristic
132#16839638C2211yescharacteristic
133#16839638C2211yescharacteristic
134#16839638C2211yescharacteristic
135#16839637C2211yescharacteristic
136#16839636C2211yescharacteristic
137#16839636C2211yescharacteristic
138#16839636C2211yescharacteristic, complemented
139#16839635C2211yescharacteristic
140#16839635C2211yescharacteristic, complemented
141#16839634C2211yescharacteristic
142#16839634C2211yescharacteristic
143#16839634C2211yescharacteristic
144#16839634C2211yescharacteristic
145#16839633C2211yescharacteristic
146#16839633C2211yescharacteristic
147#16839633C2211yescharacteristic
148#16839633C2211yescharacteristic
149#16839633C2211yescharacteristic
150#16839633C2211yescharacteristic
151#16839633C2211yescharacteristic
152#16839633C2211yescharacteristic
153#16839633C2211yescharacteristic
154#16839633C2211yescharacteristic
155#16839633C2211yescharacteristic, complemented
156#16839624C2211yescharacteristic
157#16839624C2211yescharacteristic
158#16839624C2211yescharacteristic
159#16839624C2211yescharacteristic
160#16839622C2211yescharacteristic
161#16839621C2211yescharacteristic
162#16839621C2211yescharacteristic
163#16839620C2211yescharacteristic
164#16839619C2211yescharacteristic
165#16839619C2211yescharacteristic
166#16839617C2211yescharacteristic
167#16839617C2211yescharacteristic
168C22⋊C4×Dic61C2211yescharacteristic
169C4×#11758198C2211yescharacteristic
170C4×#11758198C2211yescharacteristic
171C4×C22⋊Dic61C2211yescharacteristic
172#16839609C2211yescharacteristic
173#16839609C2211yescharacteristic
174C2×C22⋊Q8×C61C2211yescharacteristic
175C2×C22⋊Q8×C61C2211yescharacteristic, complemented
176C2×C4×D4×C61C2211yescharacteristic
177C22×C4⋊C4×C61C2211yescharacteristic
178C61×#399C2211yescharacteristic, complemented
179C61×#398C2211yescharacteristic, complemented
180C61×#396C2211yescharacteristic, complemented
181C61×#395C2211yescharacteristic, complemented
182C61×#389C2211yescharacteristic, complemented
183C61×#387C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#385C2211yescharacteristic
187C61×#385C2211yescharacteristic
188C61×#385C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C23×Dic61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C22×C4×D61—24no—
200C22×C4×D61—24no—
201C22×C4×D61—24no—
202C22×C4×D61—24no—
203C22×C4×D61—24no—
204C22×C4×D61—42no—
205C22×C4×D61—42no—
206C22×C4×D61—42no—
207C22×C4×D61—42no—
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
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221#14519772—24no—
222#14519770—24no—
223#14519767—24no—
224#14519767—24no—
225#14519762—24no—
226#14519762—24no—
227#14519760—24no—
228#14519759—24no—
229#14519759—24no—
230#14519759—24no—
231#14519753—24no—
232#14519753—24no—
233#14519753—42no—
234#14519750—24no—
235#14519750—42no—
236#14519749—42no—
237#14519747—24no—
238#14519745—24no—
239#14519739—24no—
240#14519739—42no—
241C4×C22⋊D61—24no—
242C4×C22⋊D61—42no—
243#14519737—42no—
244C2×C4⋊Dic61—24no—
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×#11758196—24no—
254C2×#11758196—24no—
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C4⋊C4×D61—24no—
278C4⋊C4×D61—24no—
279C4⋊C4×D61—24no—
280C4⋊C4×D61—24no—
281C4⋊C4×D61—24no—
282C4⋊C4×D61—24no—
283C4⋊C4×D61—24no—
284C4⋊C4×D61D418yescomplemented
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
316C2×C4×Dic61C2311yescharacteristic
317C2×C4×Dic61C2311yescharacteristic
318C2×C4×Dic61C2311yescharacteristic
319C2×C4×Dic61C2311yescharacteristic
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
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352C22×Q8×C61C2311yescharacteristic
353C22×D4×C61C2311yescharacteristic
354C23×C4×C61C2311yescharacteristic
355C23×C4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C22⋊Q8×C61—24no—
359C22⋊Q8×C61—42no—
360C4×D4×C61—42no—
361C2×C4⋊C4×C61—24no—
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊C4×C61C2311yescharacteristic
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C4⋊C4×C61C2311yescharacteristic
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C4⋊C4×C61C2311yescharacteristic
372C2×C4⋊C4×C61C2311yescharacteristic
373C2×C4⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C42×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C23×D61—22no—
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—22no—
399C23×D61#4114yes—
400C23×D61C2411yescharacteristic
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C2×Q8×C61—22no—
404C2×Q8×C61—41no—
405C2×Q8×C61—41no—
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C22×C4×C61—22no—
410C22×C4×C61—22no—
411C22×C4×C61—22no—
412C22×C4×C61—22no—
413C22×C4×C61—22no—
414C22×C4×C61—22no—
415C22×C4×C61—22no—
416C22×C4×C61—22no—
417C22×C4×C61—41no—
418C22×C4×C61—41no—
419C22×C4×C61—41no—
420C22×C4×C61—41no—
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C22×Dic61—22no—
447C22×Dic61—22no—
448C22×Dic61—22no—
449C22×Dic61—22no—
450C22×Dic61—22no—
451C22×Dic61—22no—
452C22×Dic61—22no—
453C22×Dic61—41no—
454C22×Dic61—41no—
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C2×D244—22no—
469C2×D244—22no—
470C2×D244—22no—
471C2×D244—22no—
472C2×D244—22no—
473C2×D244—22no—
474C2×C4×D61—232no—
475C2×C4×D61—22no—
476C2×C4×D61—22no—
477C2×C4×D61—22no—
478C2×C4×D61—22no—
479C2×C4×D61—22no—
480C2×C4×D61—22no—
481C2×C4×D61—22no—
482C2×C4×D61—22no—
483C2×C4×D61—22no—
484C2×C4×D61—22no—
485C2×C4×D61—22no—
486C2×C4×D61—22no—
487C2×C4×D61—22no—
488C2×C4×D61—22no—
489C2×C4×D61—22no—
490C2×C4×D61—22no—
491C2×C4×D61—22no—
492C2×C4×D61—22no—
493C2×C4×D61—22no—
494C2×C4×D61—22no—
495C2×C4×D61—22no—
496C2×C4×D61—41no—
497C2×C4×D61—41no—
498C2×C4×D61—41no—
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—416no—
509C2×C4×D61—416no—
510C2×C4×D61—41no—
511C2×C4×D61—41no—
512C2×C4×D61C2×D414yes—
513C2×C4×D61C2×D414yes—
514C2×C4×D61C2×D414yes—
515C2×C4×D61#4114yes—
516C4⋊C4×C61—22no—
517C4⋊C4×C61—22no—
518C4⋊C4×C61—22no—
519C4⋊C4×C61—22no—
520C4⋊C4×C61—22no—
521C4⋊C4×C61—22no—
522C4⋊C4×C61—41no—
523C4⋊C4×C61—41no—
524C4⋊C4×C61—41no—
525C4⋊C4×C61—41no—
526C4⋊C4×C61—41no—
527C4⋊C4×C61C2×D414yes—
528C22⋊C4×C61—22no—
529C22⋊C4×C61—22no—
530C22⋊C4×C61—22no—
531C22⋊C4×C61—22no—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—22no—
534C22⋊C4×C61—41no—
535C22⋊C4×C61—41no—
536C42×C61—41no—
537C22⋊Dic61—22no—
538C22⋊Dic61—22no—
539C22⋊Dic61—22no—
540C22⋊Dic61—22no—
541C22⋊Dic61—22no—
542C22⋊Dic61—22no—
543C22⋊Dic61—41no—
544C22⋊Dic61—41no—
545#11758198—22no—
546#11758198—22no—
547#11758198—22no—
548#11758198—22no—
549#11758198—22no—
550#11758198—22no—
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—22no—
561#11758198—22no—
562#11758198—22no—
563#11758198—41no—
564#11758198—41no—
565#11758198—41no—
566#11758198—41no—
567C4⋊Dic61—22no—
568C4⋊Dic61—22no—
569C4⋊Dic61—22no—
570C4⋊Dic61—22no—
571C4⋊Dic61—22no—
572C4⋊Dic61—22no—
573C4⋊Dic61—41no—
574C4⋊Dic61C2×D414yes—
575#11758196—22no—
576#11758196—22no—
577#11758196—22no—
578#11758196—22no—
579#11758196—22no—
580#11758196—22no—
581#11758196—22no—
582#11758196—22no—
583#11758196—22no—
584#11758196—22no—
585#11758196—22no—
586#11758196—22no—
587#11758196—22no—
588#11758196—22no—
589#11758196—41no—
590#11758196—41no—
591#11758196—41no—
592#11758196—41no—
593#11758196—41no—
594#11758196—41no—
595#11758196C2×D414yes—
596#11758196C2×D414yes—
597C4×Dic61—22no—
598C4×Dic61—22no—
599C4×Dic61—41no—
600C4×Dic61—41no—
601C4×Dic61—41no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61—21no—
605C23×C61—21no—
606C23×C61—21no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61C2×#4112yes—
614C23×C61H(5,𝔽2)12yes—
615C23×C612−1+412yes—
616C23×C61C2511yescharacteristic
617C22×D61—28no—
618C22×D61—28no—
619C22×D61—28no—
620C22×D61—28no—
621C22×D61—28no—
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—21no—
627C22×D61—21no—
628C22×D61—21no—
629C22×D61—21no—
630C22×D61—28no—
631C22×D61—28no—
632C22×D61—21no—
633C22×D61—21no—
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—21no—
639C22×D61C22×D412yes—
640C22×D61C2×#4112yes—
641C22×D61C2×#4112yes—
642C22×D61C2×#4112yes—
643C22×D61H(5,𝔽2)12yes—
644C22×D612−1+412yes—
645Q8×C61—82no—
646D4×C61—44no—
647C2×C4×C61—28no—
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—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—44no—
684C2×C4×C61—44no—
685C2×C4×C61—82no—
686C2×C4×C61C22×D412yes—
687C2×C4×C61C22×D412yes—
688C2×C4×C61C22×D412yes—
689C2×C4×C61C2×#4112yes—
690C22⋊D61—44no—
691C22⋊D61—44no—
692C22⋊D61—44no—
693C22⋊D61—82no—
694C2×Dic61—28no—
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—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—44no—
731C2×Dic61—44no—
732C2×Dic61C22×D412yes—
733C2×Dic61C22×D412yes—
734C2×Dic61C22×D412yes—
735C2×Dic61C2×#4112yes—
736D244—44no—
737D244—44no—
738C4×D61—28no—
739C4×D61—28no—
740C4×D61—28no—
741C4×D61—28no—
742C4×D61—44no—
743C4×D61—44no—
744C4×D61—44no—
745C4×D61—44no—
746C4×D61—44no—
747C4×D61—44no—
748C4×D61—44no—
749C4×D61—44no—
750C4×D61—82no—
751#34989—611nomaximal, Sylow
752C22×C61—22no—
753C22×C61—22no—
754C22×C61—22no—
755C22×C61—22no—
756C22×C61—22no—
757C22×C61—22no—
758C22×C61—41no—
759C22×C61—41no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61#53914yescomplemented
766C22×C61C23×D411yescharacteristic
767C22×C61C22×#4111yescharacteristic
768C22×C61C22×#4111yescharacteristic
769C22×C61C2×H(5,𝔽2)11yescharacteristic
770C22×C61C2×H(5,𝔽2)11yescharacteristic
771C22×C61C2×2−1+411yescharacteristic
772C22×C61C2×2−1+411yescharacteristic
773C2×D61—232no—
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—22no—
784C2×D61—22no—
785C2×D61—22no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61#52514yes—
794C2×D61#53914yescomplemented
795C4×C61—22no—
796C4×C61—22no—
797C4×C61—22no—
798C4×C61—22no—
799C4×C61—41no—
800C4×C61—41no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808Dic61—22no—
809Dic61—22no—
810Dic61—22no—
811Dic61—22no—
812Dic61—41no—
813Dic61—41no—
814Dic61—41no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821C2×#539—611no—
822C23×C4⋊C4—611no—
823#2849—611no—
824#2849—611no—
825#2848—611no—
826#2847—611no—
827#2627—611no—
828#2623—611no—
829#2623—611no—
830#2618—611no—
831#2481—611no—
832#2481—611no—
833#2481—611no—
834#2481—611no—
835#2473—611no—
836#2473—611no—
837#2473—611no—
838#2473—611no—
839#2449—611no—
840#2449—611no—
841#2449—611no—
842#2449D6111yescharacteristic, complemented
843#2443—611no—
844#2443—611no—
845#2443—611no—
846#2443—611no—
847#2322—611no—
848#2322—611no—
849#2313—611no—
850C4×#120—611no—
851C4×#120—611no—
852C2×C61—24no—
853C2×C61—81no—
854C2×C61C2×#52511yescharacteristic
855C2×C61C2×#53911yescharacteristic
856C2×C61C2×#53911yescharacteristic
857C2×C61#348411yescharacteristic
858C2×C61#348611yescharacteristic
859C2×C61#349211yescharacteristic
860C2×C61#349211yescharacteristic
861D61—24no—
862D61—24no—
863D61—81no—
864C24×C4—611no—
865C24×C4—611no—
866C24×C4—611no—
867#539—1228no—
868C2×#126—611no—
869C2×#126—611no—
870C2×#125—611no—
871C2×#125—611no—
872C2×#123—611no—
873C2×#123—611no—
874C2×#123—611no—
875C2×#123—611no—
876C2×#123—611no—
877C2×#123—611no—
878C2×C22⋊Q8—611no—
879C2×C22⋊Q8—611no—
880C2×C22⋊Q8—611no—
881C2×C22⋊Q8C2×D6111yescharacteristic
882C2×C22⋊Q8C2×D6111yescharacteristic, complemented
883C2×#121—611no—
884C2×#121—611no—
885C2×#121—611no—
886C2×#120—611no—
887C2×#120—611no—
888C2×C4×D4—611no—
889C2×C4×D4—611no—
890C2×C4×D4—611no—
891C2×C4×D4—611no—
892C2×C4×D4—611no—
893C2×C4×D4C2×D6111yescharacteristic
894C22×C4⋊C4—611no—
895C22×C4⋊C4—611no—
896C22×C4⋊C4—611no—
897C22×C4⋊C4—611no—
898C22×C4⋊C4—611no—
899C22×C4⋊C4—611no—
900C22×C4⋊C4—611no—
901C22×C4⋊C4—611no—
902C22×C4⋊C4—611no—
903C22×C4⋊C4—611no—
904C22×C4⋊C4—611no—
905C22×C4⋊C4—1228no—
906C22×C4⋊C4C2×D6111yescharacteristic
907#400—611no—
908#400—611no—
909#400—611no—
910#400—611no—
911#400—611no—
912#400—611no—
913#399—611no—
914#399—611no—
915#399—611no—
916#399C2×D6111yescharacteristic, complemented
917#398—611no—
918#398—611no—
919#398—611no—
920#398—611no—
921#398—611no—
922#398—611no—
923#398—611no—
924#398—611no—
925#398—611no—
926#398C2×D6111yescharacteristic, complemented
927#397—611no—
928#397—611no—
929#397—611no—
930#397—611no—
931#396—611no—
932#396—611no—
933#396—611no—
934#396C2×D6111yescharacteristic, complemented
935#395—611no—
936#395C2×D6111yescharacteristic, complemented
937#394—611no—
938#394—611no—
939#389—611no—
940#389—611no—
941#389—611no—
942#389C2×D6111yescharacteristic, complemented
943#388—611no—
944#388—611no—
945#388—611no—
946#388—611no—
947#387—611no—
948#387—611no—
949#387—611no—
950#387—611no—
951#387—611no—
952#387—611no—
953#387—611no—
954#387—611no—
955#387—611no—
956#387—611no—
957#387—611no—
958#387C2×D6111yescharacteristic, complemented
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#386—611no—
974#386—611no—
975#386—611no—
976#386—611no—
977#386C2×D6111yescharacteristic
978#386C2×D6111yescharacteristic
979#385—611no—
980#385—611no—
981#385—611no—
982#385—611no—
983#385—611no—
984#385—611no—
985#385—611no—
986#385—611no—
987#385—611no—
988#385—611no—
989#385—611no—
990#385—611no—
991#385—611no—
992#385—611no—
993#385—611no—
994#385—611no—
995#385—611no—
996#385—611no—
997#385—611no—
998#385—611no—
999#385—611no—
1000#385C2×D6111yescharacteristic
1001#385C2×D6111yescharacteristic
1002#385C2×D6111yescharacteristic, complemented
1003#381—611no—
1004#381—611no—
1005#381—611no—
1006#381—611no—
1007#380—611no—
1008#380—611no—
1009#380—611no—
1010#380—611no—
1011#380—611no—
1012#380—611no—
1013#379—611no—
1014#379—611no—
1015C4×C22⋊C4—611no—
1016C4×C22⋊C4—611no—
1017C4×C22⋊C4—611no—
1018C4×C22⋊C4—611no—
1019C4×C22⋊C4—611no—
1020C4×C22⋊C4—611no—
1021C61#3498911yescharacteristic, complemented, Sylow
1022C25—611no—
1023C22×Q8C22×D6111yescharacteristic
1024C22×D4—611no—
1025C22×D4—611no—
1026C22×D4—611no—
1027C22×D4—611no—
1028C22×D4—611no—
1029C22×D4—611no—
1030C22×D4C22×D6111yescharacteristic
1031C23×C4—611no—
1032C23×C4—611no—
1033C23×C4—611no—
1034C23×C4—611no—
1035C23×C4—611no—
1036C23×C4—611no—
1037C23×C4—611no—
1038C23×C4—611no—
1039C23×C4—611no—
1040C23×C4—611no—
1041C23×C4—611no—
1042C23×C4—611no—
1043C23×C4—611no—
1044C23×C4—611no—
1045C23×C4—611no—
1046C23×C4—611no—
1047C23×C4—1224no—
1048C23×C4—1224no—
1049C23×C4—1224no—
1050C23×C4—1224no—
1051C23×C4—1224no—
1052C23×C4—2442no—
1053C23×C4—2442no—
1054C23×C4—2442no—
1055C23×C4—2442no—
1056C23×C4C22×D6111yescharacteristic
1057C23×C4C22×D6111yescharacteristic
1058C23×C4C22×D6111yescharacteristic
1059C23×C4C22×D6111yescharacteristic
1060#126—1224no—
1061#126—1224no—
1062#125—1224no—
1063#125—1224no—
1064#123—1224no—
1065#123—1224no—
1066#123—1224no—
1067#123—1224no—
1068#123—1224no—
1069#123—1224no—
1070C22⋊Q8—24no—
1071C22⋊Q8—42no—
1072C22⋊Q8—1224no—
1073C22⋊Q8—1224no—
1074C22⋊Q8—2442no—
1075#121—1224no—
1076#121—2442no—
1077#121—2442no—
1078#120—1224no—
1079#120—1224no—
1080C4×D4—42no—
1081C4×D4—1224no—
1082C4×D4—1224no—
1083C4×D4—2442no—
1084C4×D4—2442no—
1085C4×D4—2442no—
1086C2×C4⋊C4—24no—
1087C2×C4⋊C4—611no—
1088C2×C4⋊C4—611no—
1089C2×C4⋊C4—611no—
1090C2×C4⋊C4—618no—
1091C2×C4⋊C4—611no—
1092C2×C4⋊C4—611no—
1093C2×C4⋊C4—611no—
1094C2×C4⋊C4—611no—
1095C2×C4⋊C4—611no—
1096C2×C4⋊C4—611no—
1097C2×C4⋊C4—611no—
1098C2×C4⋊C4—611no—
1099C2×C4⋊C4—611no—
1100C2×C4⋊C4—611no—
1101C2×C4⋊C4—611no—
1102C2×C4⋊C4—611no—
1103C2×C4⋊C4—611no—
1104C2×C4⋊C4—611no—
1105C2×C4⋊C4—611no—
1106C2×C4⋊C4—611no—
1107C2×C4⋊C4—611no—
1108C2×C4⋊C4—611no—
1109C2×C4⋊C4—611no—
1110C2×C4⋊C4—611no—
1111C2×C4⋊C4—611no—
1112C2×C4⋊C4—611no—
1113C2×C4⋊C4—611no—
1114C2×C4⋊C4—611no—
1115C2×C4⋊C4—611no—
1116C2×C4⋊C4—611no—
1117C2×C4⋊C4—611no—
1118C2×C4⋊C4—1224no—
1119C2×C4⋊C4—1224no—
1120C2×C4⋊C4—1224no—
1121C2×C4⋊C4—1224no—
1122C2×C4⋊C4—1224no—
1123C2×C4⋊C4—1224no—
1124C2×C4⋊C4—1224no—
1125C2×C4⋊C4—1224no—
1126C2×C4⋊C4—1224no—
1127C2×C4⋊C4—1224no—
1128C2×C4⋊C4C22×D6111yescharacteristic
1129C2×C4⋊C4C22×D6111yescharacteristic
1130C2×C4⋊C4C22×D6111yescharacteristic
1131C2×C4⋊C4C22×D6111yescharacteristic
1132C2×C4⋊C4C22×D6111yescharacteristic
1133C2×C4⋊C4C22×D6111yescharacteristic
1134C2×C4⋊C4C22×D6111yescharacteristic
1135C2×C4⋊C4C22×D6111yescharacteristic
1136C2×C4⋊C4C22×D6111yescharacteristic
1137C2×C4⋊C4C22×D6111yescharacteristic
1138C2×C4⋊C4C22×D6111yescharacteristic
1139C2×C4⋊C4C22×D6111yescharacteristic
1140C2×C22⋊C4—611no—
1141C2×C22⋊C4—611no—
1142C2×C22⋊C4—611no—
1143C2×C22⋊C4—611no—
1144C2×C22⋊C4—611no—
1145C2×C22⋊C4—611no—
1146C2×C22⋊C4—611no—
1147C2×C22⋊C4—611no—
1148C2×C22⋊C4—611no—
1149C2×C22⋊C4—611no—
1150C2×C22⋊C4—611no—
1151C2×C22⋊C4—611no—
1152C2×C22⋊C4—611no—
1153C2×C22⋊C4—611no—
1154C2×C22⋊C4—611no—
1155C2×C22⋊C4—611no—
1156C2×C22⋊C4—611no—
1157C2×C22⋊C4—611no—
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4C22×D6111yescharacteristic
1171C2×C22⋊C4C22×D6111yescharacteristic
1172C2×C22⋊C4C22×D6111yescharacteristic
1173C2×C22⋊C4C22×D6111yescharacteristic
1174C2×C22⋊C4C22×D6111yescharacteristic
1175C2×C22⋊C4C22×D6111yescharacteristic
1176C2×C22⋊C4C22×D6111yescharacteristic
1177C2×C22⋊C4C22×D6111yescharacteristic
1178C2×C42—611no—
1179C2×C42—611no—
1180C2×C42—611no—
1181C2×C42—611no—
1182C2×C42—611no—
1183C2×C42C22×D6111yescharacteristic
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#95—611no—
1201#95—611no—
1202#95—611no—
1203#95—611no—
1204#95—611no—
1205#95—611no—
1206#95—611no—
1207#95—611no—
1208#95—611no—
1209#95—611no—
1210#95—611no—
1211#95—611no—
1212#95—611no—
1213#95—611no—
1214#95—611no—
1215#95—611no—
1216#95C22×D6111yescharacteristic
1217#95C22×D6111yescharacteristic
1218#95C22×D6111yescharacteristic
1219#95C22×D6111yescharacteristic
1220#95C22×D6111yescharacteristic
1221#95C22×D6111yescharacteristic
1222#95C22×D6111yescharacteristic
1223#95C22×D6111yescharacteristic
1224C24—611no—
1225C24—611no—
1226C24—614no—
1227C24—611no—
1228C24—1222no—
1229C24—1222no—
1230C24—1222no—
1231C24—1222no—
1232C24—1222no—
1233C24—1222no—
1234C24C23×D6111yescharacteristic
1235C24C23×D6111yescharacteristic
1236C2×Q8—22no—
1237C2×Q8—41no—
1238C2×Q8—41no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—1222no—
1243C2×D4—1222no—
1244C2×D4—1222no—
1245C2×D4—1222no—
1246C2×D4—1222no—
1247C2×D4—1222no—
1248C2×D4—1222no—
1249C2×D4—1222no—
1250C2×D4—1222no—
1251C2×D4—1222no—
1252C2×D4—1222no—
1253C2×D4—1222no—
1254C2×D4—1222no—
1255C2×D4—1222no—
1256C2×D4—1222no—
1257C2×D4—1222no—
1258C2×D4—2441no—
1259C2×D4—2441no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—611no—
1273C22×C4—611no—
1274C22×C4—611no—
1275C22×C4—611no—
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—611no—
1289C22×C4—1222no—
1290C22×C4—1222no—
1291C22×C4—1222no—
1292C22×C4—1222no—
1293C22×C4—1222no—
1294C22×C4—1222no—
1295C22×C4—1222no—
1296C22×C4—1222no—
1297C22×C4—1222no—
1298C22×C4—1222no—
1299C22×C4—1222no—
1300C22×C4—12232no—
1301C22×C4—1222no—
1302C22×C4—1222no—
1303C22×C4—1222no—
1304C22×C4—1222no—
1305C22×C4—1222no—
1306C22×C4—1222no—
1307C22×C4—1222no—
1308C22×C4—1222no—
1309C22×C4—1222no—
1310C22×C4—1222no—
1311C22×C4—1222no—
1312C22×C4—1222no—
1313C22×C4—1222no—
1314C22×C4—1222no—
1315C22×C4—1222no—
1316C22×C4—1222no—
1317C22×C4—1222no—
1318C22×C4—2441no—
1319C22×C4—2441no—
1320C22×C4—2441no—
1321C22×C4—2441no—
1322C22×C4—2441no—
1323C22×C4—2441no—
1324C22×C4—2441no—
1325C22×C4—2441no—
1326C22×C4—2441no—
1327C22×C4—2441no—
1328C22×C4—2441no—
1329C22×C4—2441no—
1330C22×C4—2441no—
1331C22×C4—2441no—
1332C22×C4—24416no—
1333C22×C4—24416no—
1334C22×C4—2441no—
1335C22×C4—2441no—
1336C22×C4C23×D6111yescharacteristic
1337C22×C4C23×D6111yescharacteristic
1338C22×C4C23×D6111yescharacteristic
1339C22×C4C23×D6111yescharacteristic
1340C22×C4C23×D6111yescharacteristic
1341C22×C4C23×D6111yescharacteristic
1342C22×C4C23×D6111yescharacteristic
1343C22×C4C23×D6111yescharacteristic
1344C22×C4C23×D6111yescharacteristic
1345C22×C4C23×D6111yescharacteristic
1346C22×C4C23×D6111yescharacteristic
1347C22×C4C23×D6111yescharacteristic
1348C22×C4C23×D6111yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—614no—
1361C4⋊C4—614no—
1362C4⋊C4—614no—
1363C4⋊C4—1222no—
1364C4⋊C4—1222no—
1365C4⋊C4—1222no—
1366C4⋊C4—1222no—
1367C4⋊C4—1222no—
1368C4⋊C4—1222no—
1369C4⋊C4—1222no—
1370C4⋊C4—1222no—
1371C4⋊C4—1222no—
1372C4⋊C4—1222no—
1373C4⋊C4—1222no—
1374C4⋊C4—1222no—
1375C4⋊C4—1222no—
1376C4⋊C4—1222no—
1377C4⋊C4—1222no—
1378C4⋊C4—1222no—
1379C4⋊C4—1222no—
1380C4⋊C4—1222no—
1381C4⋊C4—1222no—
1382C4⋊C4—1222no—
1383C4⋊C4—2441no—
1384C4⋊C4—2441no—
1385C4⋊C4—2441no—
1386C4⋊C4—2441no—
1387C4⋊C4—2441no—
1388C4⋊C4—2441no—
1389C4⋊C4—2441no—
1390C4⋊C4D4×D6114yes—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—1222no—
1400C22⋊C4—1222no—
1401C22⋊C4—1222no—
1402C22⋊C4—1222no—
1403C22⋊C4—1222no—
1404C22⋊C4—1222no—
1405C22⋊C4—1222no—
1406C22⋊C4—1222no—
1407C22⋊C4—1222no—
1408C22⋊C4—1222no—
1409C22⋊C4—1222no—
1410C22⋊C4—1222no—
1411C22⋊C4—1222no—
1412C22⋊C4—1222no—
1413C22⋊C4—1222no—
1414C22⋊C4—1222no—
1415C22⋊C4—1222no—
1416C22⋊C4—1222no—
1417C22⋊C4—1222no—
1418C22⋊C4—1222no—
1419C22⋊C4—1222no—
1420C22⋊C4—1222no—
1421C22⋊C4—1222no—
1422C22⋊C4—1222no—
1423C22⋊C4—2441no—
1424C22⋊C4—2441no—
1425C22⋊C4—2441no—
1426C22⋊C4—2441no—
1427C22⋊C4—2441no—
1428C22⋊C4—2441no—
1429C42—41no—
1430C42—1222no—
1431C42—1222no—
1432C42—2441no—
1433C42—2441no—
1434C42—2441no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—612no—
1447C23—612no—
1448C23—612no—
1449C23—612no—
1450C23—612no—
1451C23—612no—
1452C23—1228no—
1453C23—1228no—
1454C23—1228no—
1455C23—1228no—
1456C23—1228no—
1457C23—1228no—
1458C23—1221no—
1459C23—1221no—
1460C23—1221no—
1461C23—1221no—
1462C23—1221no—
1463C23—1221no—
1464C23—1221no—
1465C23—1221no—
1466C23—1228no—
1467C23—1221no—
1468C23—1221no—
1469C23—1221no—
1470C23—1221no—
1471C23—1221no—
1472C23—1221no—
1473C23—1221no—
1474C23#41×D6112yes—
1475C23#1451982212yes—
1476C23#1451982512yes—
1477C23C24×D6111yescharacteristic
1478Q8—82no—
1479D4—44no—
1480D4—4882no—
1481D4—2444no—
1482D4—2444no—
1483D4—2444no—
1484D4—2444no—
1485D4—2444no—
1486C2×C4—28no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
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—44no—
1523C2×C4—44no—
1524C2×C4—82no—
1525C2×C4—612no—
1526C2×C4—612no—
1527C2×C4—612no—
1528C2×C4—612no—
1529C2×C4—1228no—
1530C2×C4—1228no—
1531C2×C4—1228no—
1532C2×C4—1228no—
1533C2×C4—1228no—
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—1221no—
1564C2×C4—1221no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—4882no—
1570C2×C4—2444no—
1571C2×C4—2444no—
1572C2×C4—2444no—
1573C2×C4—2444no—
1574C2×C4—2444no—
1575C2×C4—2444no—
1576C2×C4—2444no—
1577C2×C4—2444no—
1578C2×C4—2444no—
1579C2×C4—2444no—
1580C2×C4C2×D4×D6112yes—
1581C2×C4C2×D4×D6112yes—
1582C2×C4C2×D4×D6112yes—
1583C2×C4#41×D6112yes—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—614no—
1598C22—614no—
1599C22—12232no—
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—2441no—
1613C22—2441no—
1614C22—2441no—
1615C22—2441no—
1616C22—2441no—
1617C22—2441no—
1618C22—2441no—
1619C22#1684035814yescomplemented
1620C22C22×D4×D6111yescharacteristic
1621C22C2×#41×D6111yescharacteristic
1622C22C2×#41×D6111yescharacteristic
1623C22H(5,𝔽2)×D6111yescharacteristic
1624C22C2×#1451982211yescharacteristic
1625C222−1+4×D6111yescharacteristic
1626C22C2×#1451982511yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—1222no—
1641C4—1222no—
1642C4—1222no—
1643C4—1222no—
1644C4—2441no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C2—24no—
1654C2—81no—
1655C2—1224no—
1656C2—1224no—
1657C2—4881no—
1658C2#525×D6111yescharacteristic
1659C2#539×D6111yescharacteristic
1660C2C2×#1684035811yescharacteristic
1661C2#2145944711yescharacteristic
1662C2#2145946911yescharacteristic
1663C2#2145952111yescharacteristic
1664C2#2145952711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2449C2
prime radical#21454100C2
hypercenter#2449D61
hypocenterC61#34989
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#16840358C2semidirect
2. C22×C4⋊C4×D61C2semidirect
3. #21454114C2semidirect
4. #21454110C2semidirect
5. #21454103C2semidirect
7. #21451631C2semidirect
8. #21451604C2semidirect
9. #21451600C2semidirect
10. #21451566C2semidirect
11. #21450085C2semidirect
12. #21450081C2semidirect
13. #21450078C2semidirect
14. #21450074C2semidirect
15. #21449966C2semidirect
16. #21449962C2semidirect
17. #21449957C2semidirect
18. #21449953C2semidirect
19. #21449625C2semidirect
20. #21449624C2semidirect
21. #21449621C2semidirect
22. #21449560C2semidirect
23. #21449557C2semidirect
24. #21449553C2semidirect
25. #21449548C2semidirect
26. #21448486C2semidirect
27. #21448483C2semidirect
28. #21448418C2semidirect
29. #21448320C2semidirect
30. C4×#14519745C2semidirect
31. C61×#2449C2semidirect
36. C2×#14519772C22semidirect
37. C2×#14519770C22semidirect
38. C2×#14519767C22semidirect
39. C2×#14519767C22semidirect
42. C2×#14519760C22semidirect
45. C2×#14519759C22semidirect
48. C2×#14519753C22semidirect
71. #16839703C22semidirect
72. #16839703C22semidirect
73. #16839702C22semidirect
74. #16839702C22semidirect
75. #16839701C22semidirect
76. #16839700C22semidirect
77. #16839698C22semidirect
78. #16839697C22semidirect
79. #16839697C22semidirect
80. #16839696C22semidirect
81. #16839696C22semidirect
82. #16839696C22semidirect
83. #16839695C22semidirect
84. #16839695C22semidirect
85. #16839695C22semidirect
86. #16839693C22semidirect
87. #16839693C22semidirect
88. #16839692C22semidirect
89. #16839690C22semidirect
90. #16839690C22semidirect
91. #16839689C22semidirect
92. #16839688C22semidirect
93. #16839685C22semidirect
94. #16839684C22semidirect
95. #16839684C22semidirect
96. #16839681C22semidirect
97. #16839678C22semidirect
98. #16839677C22semidirect
99. #16839659C22semidirect
100. #16839658C22semidirect
101. #16839657C22semidirect
102. #16839655C22semidirect
103. #16839653C22semidirect
104. #16839652C22semidirect
105. #16839650C22semidirect
106. #16839649C22semidirect
107. #16839648C22semidirect
108. #16839648C22semidirect
109. #16839647C22semidirect
110. #16839647C22semidirect
111. #16839646C22semidirect
112. #16839645C22semidirect
113. #16839644C22semidirect
114. #16839644C22semidirect
115. #16839643C22semidirect
116. #16839643C22semidirect
138. #16839636C22semidirect
140. #16839635C22semidirect
155. #16839633C22semidirect
175. C2×C22⋊Q8×C61C22semidirect
178. C61×#399C22semidirect
179. C61×#398C22semidirect
180. C61×#396C22semidirect
181. C61×#395C22semidirect
182. C61×#389C22semidirect
183. C61×#387C22semidirect
188. C61×#385C22semidirect
284. C4⋊C4×D61D4semidirect
765. C22×C61#539semidirect
794. C2×D61#539semidirect
842. #2449D61semidirect
882. C2×C22⋊Q8C2×D61semidirect
916. #399C2×D61semidirect
926. #398C2×D61semidirect
934. #396C2×D61semidirect
936. #395C2×D61semidirect
942. #389C2×D61semidirect
958. #387C2×D61semidirect
1002. #385C2×D61semidirect
1021. C61#34989semidirect
1619. C22#16840358semidirect

Maximal subgroups

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

subgroupindex
C2×#168403582
C22×C4⋊C4×D612
#214541142
#214541102
#214541032
#214541002
#214516312
#214516042
#214516002
#214515662
#214500852
#214500812
#214500782
#214500742
#214499662
#214499622
#214499572
#214499532
#214496252
#214496242
#214496212
#214495602
#214495572
#214495532
#214495482
#214484862
#214484832
#214484182
#214483202
C4×#145197452
C61×#24492
#3498961