Finite Group Databasebeta

← #29888918

Subgroups — #29888918

Order 15616.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454110C211yesmaximal, characteristic, complemented
2#21454100C211yesmaximal, characteristic, complemented
3#21453683C211yesmaximal, characteristic, complemented
4#21453534C211yesmaximal, characteristic, complemented
5#21453146C211yesmaximal, characteristic, complemented
6#21453103C211yesmaximal, characteristic, complemented
7#21453085C211yesmaximal, characteristic, complemented
8#21453047C211yesmaximal, characteristic, complemented
9#21452912C211yesmaximal, characteristic, complemented
10#21452553C211yesmaximal, characteristic, complemented
11#21452545C211yesmaximal, characteristic, complemented
12#21452512C211yesmaximal, characteristic, complemented
13#21452455C211yesmaximal, characteristic, complemented
14#21452407C211yesmaximal, characteristic, complemented
15#21452261C211yesmaximal, characteristic, complemented
16#21452090C211yesmaximal, characteristic, complemented
17#21452087C211yesmaximal, characteristic, complemented
18#21452054C211yesmaximal, characteristic, complemented
19#21451592C211yesmaximal, characteristic, complemented
20#21451040C211yesmaximal, characteristic, complemented
21#21450777C211yesmaximal, characteristic, complemented
22#21449454C211yesmaximal, characteristic, complemented
23#21449361C211yesmaximal, characteristic, complemented
24#21449351C211yesmaximal, characteristic, complemented
25#21449287C211yesmaximal, characteristic, complemented
26#21449277C211yesmaximal, characteristic, complemented
27#21449172C211yesmaximal, characteristic, complemented
28#21448520C211yesmaximal, characteristic, complemented
29#21448445C211yesmaximal, characteristic, complemented
30C2×#16839638C211yesmaximal, characteristic, complemented
31C61×#2617C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C2×#14519773C2211yescharacteristic
35C2×#14519773C2211yescharacteristic
36C2×#14519762C2211yescharacteristic, complemented
37C2×#14519759C2211yescharacteristic, complemented
38C2×#14519759C2211yescharacteristic, complemented
39C2×#14519758C2211yescharacteristic, complemented
40C2×#14519750C2211yescharacteristic, complemented
41C2×#14519750C2211yescharacteristic, complemented
42C2×#14519749C2211yescharacteristic
43C2×#14519749C2211yescharacteristic
44C2×#14519749C2211yescharacteristic
45C2×#14519749C2211yescharacteristic
46C2×#14519749C2211yescharacteristic, complemented
47C2×#14519748C2211yescharacteristic, complemented
48C2×#14519747C2211yescharacteristic
49C2×#14519746C2211yescharacteristic
50C2×#14519745C2211yescharacteristic
51C2×#14519745C2211yescharacteristic
52C2×D4×Dic61C2211yescharacteristic
53C2×D4×Dic61C2211yescharacteristic
54C2×#14519737C2211yescharacteristic
55C22×C22⋊Dic61C2211yescharacteristic
56C22×#11758198C2211yescharacteristic
57#16839703C2211yescharacteristic, complemented
58#16839702C2211yescharacteristic, complemented
59#16839698C2211yescharacteristic, complemented
60#16839697C2211yescharacteristic, complemented
61#16839695C2211yescharacteristic, complemented
62#16839695C2211yescharacteristic, complemented
63#16839693C2211yescharacteristic, complemented
64#16839691C2211yescharacteristic, complemented
65#16839690C2211yescharacteristic, complemented
66#16839690C2211yescharacteristic, complemented
67#16839690C2211yescharacteristic, complemented
68#16839690C2211yescharacteristic, complemented
69#16839690C2211yescharacteristic, complemented
70#16839687C2211yescharacteristic, complemented
71#16839685C2211yescharacteristic, complemented
72#16839684C2211yescharacteristic, complemented
73#16839680C2211yescharacteristic, complemented
74#16839679C2211yescharacteristic, complemented
75#16839678C2211yescharacteristic
76#16839678C2211yescharacteristic
77#16839678C2211yescharacteristic, complemented
78#16839678C2211yescharacteristic, complemented
79#16839678C2211yescharacteristic, complemented
80#16839677C2211yescharacteristic, complemented
81#16839677C2211yescharacteristic, complemented
82#16839677C2211yescharacteristic, complemented
83#16839677C2211yescharacteristic, complemented
84#16839677C2211yescharacteristic, complemented
85#16839676C2211yescharacteristic, complemented
86#16839676C2211yescharacteristic, complemented
87#16839676C2211yescharacteristic, complemented
88#16839671C2211yescharacteristic
89#16839671C2211yescharacteristic
90#16839670C2211yescharacteristic
91#16839670C2211yescharacteristic
92#16839670C2211yescharacteristic
93#16839670C2211yescharacteristic
94#16839670C2211yescharacteristic, complemented
95#16839670C2211yescharacteristic, complemented
96#16839670C2211yescharacteristic, complemented
97#16839665C2211yescharacteristic, complemented
98#16839662C2211yescharacteristic
99#16839662C2211yescharacteristic
100#16839662C2211yescharacteristic
101#16839662C2211yescharacteristic
102#16839662C2211yescharacteristic, complemented
103#16839656C2211yescharacteristic, complemented
104#16839656C2211yescharacteristic, complemented
105#16839656C2211yescharacteristic, complemented
106#16839652C2211yescharacteristic, complemented
107#16839652C2211yescharacteristic, complemented
108#16839652C2211yescharacteristic, complemented
109#16839651C2211yescharacteristic, complemented
110#16839651C2211yescharacteristic, complemented
111#16839650C2211yescharacteristic, complemented
112#16839650C2211yescharacteristic, complemented
113#16839650C2211yescharacteristic, complemented
114#16839650C2211yescharacteristic, complemented
115#16839649C2211yescharacteristic, complemented
116#16839648C2211yescharacteristic, complemented
117#16839647C2211yescharacteristic, complemented
118#16839647C2211yescharacteristic, complemented
119#16839645C2211yescharacteristic, complemented
120#16839644C2211yescharacteristic, complemented
121#16839644C2211yescharacteristic, complemented
122#16839643C2211yescharacteristic, complemented
123#16839642C2211yescharacteristic
124#16839642C2211yescharacteristic
125#16839642C2211yescharacteristic, complemented
126#16839642C2211yescharacteristic, complemented
127#16839641C2211yescharacteristic
128#16839641C2211yescharacteristic
129#16839640C2211yescharacteristic, complemented
130#16839640C2211yescharacteristic, complemented
131#16839640C2211yescharacteristic, complemented
132#16839639C2211yescharacteristic, complemented
133#16839639C2211yescharacteristic, complemented
134#16839639C2211yescharacteristic, complemented
135#16839638C2211yescharacteristic
136#16839638C2211yescharacteristic
137#16839638C2211yescharacteristic
138#16839638C2211yescharacteristic
139#16839638C2211yescharacteristic
140#16839638C2211yescharacteristic
141#16839638C2211yescharacteristic
142#16839638C2211yescharacteristic
143#16839638C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839638C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic, complemented
149#16839637C2211yescharacteristic
150#16839636C2211yescharacteristic, complemented
151#16839636C2211yescharacteristic, complemented
152#16839636C2211yescharacteristic, complemented
153#16839635C2211yescharacteristic
154#16839635C2211yescharacteristic
155#16839634C2211yescharacteristic
156#16839634C2211yescharacteristic, complemented
157#16839629C2211yescharacteristic, complemented
158#16839626C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic, complemented
160#16839624C2211yescharacteristic, complemented
161#16839623C2211yescharacteristic, complemented
162#16839621C2211yescharacteristic, complemented
163#16839621C2211yescharacteristic, complemented
164#16839620C2211yescharacteristic
165#16839620C2211yescharacteristic
166#16839620C2211yescharacteristic, complemented
167#16839618C2211yescharacteristic
168#16839617C2211yescharacteristic
169C22⋊C4×Dic61C2211yescharacteristic
170C2×#14519684C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C2×#121×C61C2211yescharacteristic
173C2×#120×C61C2211yescharacteristic
174C2×#120×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C61×#397C2211yescharacteristic, complemented
177C61×#397C2211yescharacteristic, complemented
178C61×#394C2211yescharacteristic, complemented
179C61×#394C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#392C2211yescharacteristic, complemented
183C61×#392C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#380C2211yescharacteristic
187C24×D61C2311yescharacteristic
188C22×D244C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×C22⋊D61—24no—
191C22×C22⋊D61—42no—
192C22×C22⋊D61—42no—
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C22×C4×D61—42no—
212C22×C4×D61—42no—
213C22×C4×D61—42no—
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219#14519773—42no—
220#14519773—42no—
221#14519762—42no—
222#14519759—42no—
223#14519759—42no—
224#14519758—42no—
225#14519750—42no—
226#14519750—42no—
227#14519749—24no—
228#14519749—42no—
229#14519749—42no—
230#14519749—42no—
231#14519749—42no—
232#14519748—42no—
233#14519747—42no—
234#14519746—42no—
235#14519745—42no—
236#14519745—42no—
237D4×Dic61—24no—
238D4×Dic61—42no—
239#14519737—42no—
240C2×C4⋊Dic61C2311yescharacteristic
241C2×C4⋊Dic61C2311yescharacteristic
242C2×C4⋊Dic61C2311yescharacteristic
243C2×C4⋊Dic61C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×C22⋊Dic61—42no—
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×#11758198—42no—
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×C4×Dic61C2311yescharacteristic
302C2×C4×Dic61C2311yescharacteristic
303C2×C4×Dic61C2311yescharacteristic
304C2×C4×Dic61C2311yescharacteristic
305C2×C4×Dic61C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
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
336C25×C61C2311yescharacteristic
337C22×D4×C61C2311yescharacteristic
338C22×D4×C61C2311yescharacteristic
339C22×D4×C61C2311yescharacteristic
340C22×D4×C61C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C22×D4×C61C2311yescharacteristic
343C22×D4×C61C2311yescharacteristic
344C23×C4×C61C2311yescharacteristic
345C23×C4×C61C2311yescharacteristic
346#121×C61—42no—
347#120×C61—42no—
348#120×C61—42no—
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C4⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61—42no—
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊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×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375C24×C61—22no—
376C24×C61—22no—
377C24×C61—22no—
378C24×C61—41no—
379C24×C61—41no—
380C24×C61—41no—
381C24×C61—41no—
382C24×C61C2411yescharacteristic
383C24×C61C2411yescharacteristic
384C24×C61C2411yescharacteristic
385C24×C61C2411yescharacteristic
386C24×C61C2411yescharacteristic
387C23×D61—22no—
388C23×D61—22no—
389C23×D61—22no—
390C23×D61—22no—
391C23×D61—22no—
392C23×D61—41no—
393C23×D61—41no—
394C23×D61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C23×D61C2411yescharacteristic
397C2×D4×C61—22no—
398C2×D4×C61—22no—
399C2×D4×C61—22no—
400C2×D4×C61—22no—
401C2×D4×C61—22no—
402C2×D4×C61—22no—
403C2×D4×C61—41no—
404C2×D4×C61—41no—
405C2×D4×C61—41no—
406C2×D4×C61—41no—
407C2×D4×C61—41no—
408C2×D4×C61—41no—
409C2×D4×C61—41no—
410C2×D4×C61—41no—
411C2×D4×C61—41no—
412C2×D4×C61—41no—
413C2×D4×C61—41no—
414C2×D4×C61—41no—
415C2×D4×C61—41no—
416C2×D4×C61—41no—
417C2×D4×C61—41no—
418C22×C4×C61—22no—
419C22×C4×C61—22no—
420C22×C4×C61—41no—
421C22×C4×C61—41no—
422C22×C4×C61—41no—
423C22×C4×C61—41no—
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—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—22no—
447C2×C22⋊D61—22no—
448C2×C22⋊D61—22no—
449C2×C22⋊D61—22no—
450C2×C22⋊D61—22no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61—41no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
458C2×C22⋊D61—41no—
459C2×C22⋊D61—41no—
460C2×C22⋊D61—41no—
461C2×C22⋊D61—41no—
462C2×C22⋊D61—41no—
463C2×C22⋊D61—41no—
464C2×C22⋊D61—41no—
465C2×C22⋊D61—41no—
466C2×C22⋊D61—41no—
467C2×C22⋊D61—41no—
468C2×C22⋊D61—41no—
469C2×C22⋊D61—41no—
470C2×C22⋊D61—41no—
471C2×C22⋊D61—41no—
472C2×C22⋊D61—41no—
473C2×C22⋊D61—416no—
474C22×Dic61—22no—
475C22×Dic61—22no—
476C22×Dic61—22no—
477C22×Dic61—22no—
478C22×Dic61—41no—
479C22×Dic61—41no—
480C22×Dic61—41no—
481C22×Dic61—41no—
482C22×Dic61—41no—
483C22×Dic61—41no—
484C22×Dic61—41no—
485C22×Dic61—41no—
486C22×Dic61—41no—
487C22×Dic61—41no—
488C22×Dic61#4114yes—
489C22×Dic61C2411yescharacteristic
490C22×Dic61C2411yescharacteristic
491C22×Dic61C2411yescharacteristic
492C22×Dic61C2411yescharacteristic
493C22×Dic61C2411yescharacteristic
494C22×Dic61C2411yescharacteristic
495C22×Dic61C2411yescharacteristic
496C22×Dic61C2411yescharacteristic
497C22×Dic61C2411yescharacteristic
498C22×Dic61C2411yescharacteristic
499C22×Dic61C2411yescharacteristic
500C22×Dic61C2411yescharacteristic
501C22×Dic61C2411yescharacteristic
502C2×D244—22no—
503C2×D244—22no—
504C2×D244—41no—
505C2×D244—41no—
506C2×D244—41no—
507C2×D244—41no—
508C2×C4×D61—22no—
509C2×C4×D61—22no—
510C2×C4×D61—22no—
511C2×C4×D61—22no—
512C2×C4×D61—41no—
513C2×C4×D61—41no—
514C2×C4×D61—41no—
515C2×C4×D61—41no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—416no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C4⋊C4×C61—41no—
525C4⋊C4×C61—41no—
526C4⋊C4×C61—41no—
527C22⋊C4×C61—22no—
528C22⋊C4×C61—22no—
529C22⋊C4×C61—41no—
530C22⋊C4×C61—41no—
531C22⋊C4×C61—41no—
532C22⋊C4×C61—41no—
533C22⋊C4×C61—41no—
534C22⋊C4×C61—41no—
535C22⋊C4×C61—41no—
536C22⋊C4×C61—41no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊C4×C61—41no—
542C22⋊C4×C61—41no—
543C22⋊Dic61—22no—
544C22⋊Dic61—22no—
545C22⋊Dic61—22no—
546C22⋊Dic61—22no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—22no—
550C22⋊Dic61—22no—
551C22⋊Dic61—41no—
552C22⋊Dic61—41no—
553C22⋊Dic61—41no—
554C22⋊Dic61—41no—
555C22⋊Dic61—41no—
556C22⋊Dic61—41no—
557C22⋊Dic61—41no—
558C22⋊Dic61—41no—
559C22⋊Dic61—41no—
560C22⋊Dic61—41no—
561C22⋊Dic61—41no—
562C22⋊Dic61—41no—
563C22⋊Dic61—41no—
564#11758198—22no—
565#11758198—22no—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—41no—
570#11758198—41no—
571#11758198—41no—
572#11758198—41no—
573#11758198—41no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578#11758198—41no—
579#11758198—41no—
580#11758198—41no—
581#11758198—41no—
582#11758198—41no—
583#11758198—41no—
584#11758198—41no—
585C4⋊Dic61—22no—
586C4⋊Dic61—22no—
587C4⋊Dic61—41no—
588C4⋊Dic61—41no—
589#11758196—22no—
590#11758196—22no—
591#11758196—41no—
592#11758196—41no—
593#11758196—41no—
594#11758196—41no—
595#11758196—41no—
596#11758196—41no—
597#11758196—41no—
598#11758196—41no—
599#11758196—41no—
600#11758196—41no—
601#11758196—41no—
602C4×Dic61—22no—
603C4×Dic61—41no—
604C4×Dic61—41no—
605C4×Dic61—41no—
606C4×Dic61—41no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—44no—
640C23×C61—44no—
641C23×C61—44no—
642C23×C61—82no—
643C23×C61—82no—
644C23×C61—82no—
645C23×C61—82no—
646C23×C61C2×#4112yes—
647C23×C61H(5,𝔽2)12yes—
648C23×C61H(5,𝔽2)12yes—
649C23×C61C2511yescharacteristic
650C22×D61—28no—
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—44no—
671C22×D61—44no—
672C22×D61—44no—
673C22×D61—44no—
674C22×D61—44no—
675C22×D61—44no—
676C22×D61H(5,𝔽2)12yes—
677C22×D61H(5,𝔽2)12yes—
678D4×C61—44no—
679D4×C61—44no—
680D4×C61—82no—
681D4×C61—82no—
682D4×C61—82no—
683D4×C61—82no—
684D4×C61—82no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—44no—
716C2×C4×C61—82no—
717C22⋊D61—44no—
718C22⋊D61—44no—
719C22⋊D61—44no—
720C22⋊D61—44no—
721C22⋊D61—44no—
722C22⋊D61—82no—
723C22⋊D61—82no—
724C22⋊D61—82no—
725C22⋊D61—82no—
726C22⋊D61—82no—
727C22⋊D61—82no—
728C22⋊D61—82no—
729C22⋊D61—82no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—44no—
767C2×Dic61—44no—
768C2×Dic61—82no—
769C2×Dic61—82no—
770C2×Dic61—82no—
771C2×Dic61C2×#4112yes—
772C2×Dic61C2×#4112yes—
773C2×Dic61H(5,𝔽2)12yes—
774D244—82no—
775D244—82no—
776C4×D61—44no—
777C4×D61—44no—
778C4×D61—44no—
779C4×D61—44no—
780C4×D61—82no—
781#36794—611nomaximal, Sylow
782C22×C61—22no—
783C22×C61—22no—
784C22×C61—22no—
785C22×C61—22no—
786C22×C61—22no—
787C22×C61—22no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—88no—
817C22×C61#54014yes—
818C22×C61C22×#4111yescharacteristic
819C22×C61C2×H(5,𝔽2)11yescharacteristic
820C22×C61C2×H(5,𝔽2)11yescharacteristic
821C22×C61C2×H(5,𝔽2)11yescharacteristic
822C22×C61C2×H(5,𝔽2)11yescharacteristic
823C22×C61C2×H(5,𝔽2)11yescharacteristic
824C22×C61#58511yescharacteristic
825C2×D61—22no—
826C2×D61—22no—
827C2×D61—22no—
828C2×D61—22no—
829C2×D61—22no—
830C2×D61—22no—
831C2×D61—416no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855C4×C61—41no—
856C4×C61—41no—
857Dic61—22no—
858Dic61—22no—
859Dic61—22no—
860Dic61—41no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870#2849—611no—
871#2847—611no—
872#2797—611no—
873#2786—611no—
874#2756—611no—
875#2753—611no—
876#2752—611no—
877#2749—611no—
878#2740—611no—
879#2709—611no—
880#2709—611no—
881#2706—611no—
882#2703—611no—
883#2699—611no—
884#2688—611no—
885#2673—611no—
886#2673—611no—
887#2671—611no—
888#2622—611no—
889#2617D6111yescharacteristic, complemented
890#2569—611no—
891#2543—611no—
892#2433—611no—
893#2424—611no—
894#2424—611no—
895#2418—611no—
896#2418—611no—
897#2408—611no—
898#2325—611no—
899#2318—611no—
900C2×#386—611no—
901C2×C61—24no—
902C2×C61—81no—
903C2×C61—81no—
904C2×C61—81no—
905C2×C61—81no—
906C2×C61C2×#54011yescharacteristic
907C2×C61#349011yescharacteristic
908C2×C61#350611yescharacteristic
909C2×C61#353211yescharacteristic
910C2×C61#353411yescharacteristic
911C2×C61#353411yescharacteristic
912C2×C61#353711yescharacteristic
913D61—42no—
914D61—42no—
915D61—81no—
916C23×D4—611no—
917C24×C4—611no—
918C2×#127—611no—
919C2×#127—611no—
920C2×#123—611no—
921C2×#123—611no—
922C2×#123—611no—
923C2×#123—611no—
924C2×#121—611no—
925C2×#121—611no—
926C2×#121—611no—
927C2×#121—611no—
928C2×#121—611no—
929C2×#121—611no—
930C2×#121—611no—
931C2×#121—611no—
932C2×#121C2×D6111yescharacteristic
933C2×#120—611no—
934C2×#120—611no—
935C2×#120—611no—
936C2×#120—611no—
937C2×#120C2×D6111yescharacteristic
938C2×#120C2×D6111yescharacteristic
939C2×C4×D4—611no—
940C2×C4×D4—611no—
941C2×C4×D4—611no—
942C22×C22⋊C4—611no—
943C22×C22⋊C4—611no—
944C22×C22⋊C4C2×D6111yescharacteristic
945#400—611no—
946#400—611no—
947#399—611no—
948#399—611no—
949#398—611no—
950#398—611no—
951#398—611no—
952#397—611no—
953#397—611no—
954#397—611no—
955#397—611no—
956#397—611no—
957#397—611no—
958#397—611no—
959#397C2×D6111yescharacteristic, complemented
960#397C2×D6111yescharacteristic, complemented
961#396—611no—
962#396—611no—
963#394—611no—
964#394—611no—
965#394—611no—
966#394—611no—
967#394—611no—
968#394—611no—
969#394—611no—
970#394—611no—
971#394—611no—
972#394—611no—
973#394—611no—
974#394—611no—
975#394—611no—
976#394—611no—
977#394—611no—
978#394C2×D6111yescharacteristic, complemented
979#394C2×D6111yescharacteristic, complemented
980#394C2×D6111yescharacteristic, complemented
981#394C2×D6111yescharacteristic, complemented
982#392—611no—
983#392—611no—
984#392—611no—
985#392—611no—
986#392—611no—
987#392—611no—
988#392—611no—
989#392—611no—
990#392—611no—
991#392C2×D6111yescharacteristic, complemented
992#392C2×D6111yescharacteristic, complemented
993#390—611no—
994#390—611no—
995#390—611no—
996#390—611no—
997#390—611no—
998#390—611no—
999#388—611no—
1000#388—611no—
1001#388—611no—
1002#388—611no—
1003#388—611no—
1004#388—611no—
1005#388—611no—
1006#388—611no—
1007#388—611no—
1008#388—611no—
1009#388—611no—
1010#388—611no—
1011#387—611no—
1012#387—611no—
1013#387—611no—
1014#387—611no—
1015#387—611no—
1016#387—611no—
1017#387—611no—
1018#387—611no—
1019#386—611no—
1020#386—611no—
1021#386—611no—
1022#386—611no—
1023#386—611no—
1024#386—611no—
1025#386—611no—
1026#386—611no—
1027#386—611no—
1028#386—611no—
1029#386—611no—
1030#386—611no—
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386—611no—
1035#386—611no—
1036#386—611no—
1037#386—611no—
1038#386—611no—
1039#386—611no—
1040#386—611no—
1041#386—611no—
1042#386—611no—
1043#386—611no—
1044#386—611no—
1045#386C2×D6111yescharacteristic
1046#386C2×D6111yescharacteristic
1047#385—611no—
1048#385—611no—
1049#385—611no—
1050#385—611no—
1051#385—611no—
1052#385—611no—
1053#385—611no—
1054#385—611no—
1055#383—611no—
1056#382—611no—
1057#381—611no—
1058#381—611no—
1059#381—611no—
1060#380—611no—
1061#380—611no—
1062#380—611no—
1063#380—611no—
1064#380—611no—
1065#380C2×D6111yescharacteristic
1066#379—611no—
1067#379—611no—
1068C4×C22⋊C4—611no—
1069C2×#95—611no—
1070C2×#95—611no—
1071C61#3679411yescharacteristic, complemented, Sylow
1072C25—611no—
1073C25C22×D6111yescharacteristic
1074C22×D4—611no—
1075C22×D4—611no—
1076C22×D4—611no—
1077C22×D4—611no—
1078C22×D4—611no—
1079C22×D4—611no—
1080C22×D4—611no—
1081C22×D4—611no—
1082C22×D4—611no—
1083C22×D4—611no—
1084C22×D4—611no—
1085C22×D4—611no—
1086C22×D4—611no—
1087C22×D4—611no—
1088C22×D4—611no—
1089C22×D4—1224no—
1090C22×D4—2442no—
1091C22×D4—2442no—
1092C22×D4C22×D6111yescharacteristic
1093C22×D4C22×D6111yescharacteristic
1094C22×D4C22×D6111yescharacteristic
1095C22×D4C22×D6111yescharacteristic
1096C22×D4C22×D6111yescharacteristic
1097C22×D4C22×D6111yescharacteristic
1098C22×D4C22×D6111yescharacteristic
1099C23×C4—611no—
1100C23×C4—611no—
1101C23×C4—611no—
1102C23×C4—611no—
1103C23×C4—611no—
1104C23×C4—611no—
1105C23×C4—611no—
1106C23×C4—611no—
1107C23×C4—611no—
1108C23×C4—611no—
1109C23×C4—2442no—
1110C23×C4—2442no—
1111C23×C4—2442no—
1112C23×C4C22×D6111yescharacteristic
1113C23×C4C22×D6111yescharacteristic
1114#127—2442no—
1115#127—2442no—
1116#123—2442no—
1117#123—2442no—
1118#123—2442no—
1119#123—2442no—
1120#121—42no—
1121#121—1224no—
1122#121—2442no—
1123#121—2442no—
1124#121—2442no—
1125#121—2442no—
1126#121—2442no—
1127#121—2442no—
1128#121—2442no—
1129#120—42no—
1130#120—42no—
1131#120—2442no—
1132#120—2442no—
1133#120—2442no—
1134#120—2442no—
1135C4×D4—1224no—
1136C4×D4—2442no—
1137C4×D4—2442no—
1138C2×C4⋊C4—611no—
1139C2×C4⋊C4—611no—
1140C2×C4⋊C4—611no—
1141C2×C4⋊C4—611no—
1142C2×C4⋊C4—611no—
1143C2×C4⋊C4—611no—
1144C2×C4⋊C4—611no—
1145C2×C4⋊C4—611no—
1146C2×C4⋊C4—611no—
1147C2×C4⋊C4—611no—
1148C2×C4⋊C4—611no—
1149C2×C4⋊C4—611no—
1150C2×C4⋊C4—611no—
1151C2×C4⋊C4—611no—
1152C2×C4⋊C4—611no—
1153C2×C4⋊C4—611no—
1154C2×C4⋊C4—611no—
1155C2×C4⋊C4C22×D6111yescharacteristic
1156C2×C4⋊C4C22×D6111yescharacteristic
1157C2×C4⋊C4C22×D6111yescharacteristic
1158C2×C22⋊C4—42no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—2442no—
1202C2×C22⋊C4—2442no—
1203C2×C22⋊C4C22×D6111yescharacteristic
1204C2×C22⋊C4C22×D6111yescharacteristic
1205C2×C22⋊C4C22×D6111yescharacteristic
1206C2×C22⋊C4C22×D6111yescharacteristic
1207C2×C22⋊C4C22×D6111yescharacteristic
1208C2×C22⋊C4C22×D6111yescharacteristic
1209C2×C22⋊C4C22×D6111yescharacteristic
1210C2×C22⋊C4C22×D6111yescharacteristic
1211C2×C22⋊C4C22×D6111yescharacteristic
1212C2×C22⋊C4C22×D6111yescharacteristic
1213C2×C22⋊C4C22×D6111yescharacteristic
1214C2×C22⋊C4C22×D6111yescharacteristic
1215C2×C22⋊C4C22×D6111yescharacteristic
1216C2×C22⋊C4C22×D6111yescharacteristic
1217C2×C22⋊C4C22×D6111yescharacteristic
1218C2×C22⋊C4C22×D6111yescharacteristic
1219C2×C42—611no—
1220C2×C42—611no—
1221C2×C42—611no—
1222C2×C42—611no—
1223C2×C42—611no—
1224#95—611no—
1225#95—611no—
1226#95—611no—
1227#95—611no—
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#95—611no—
1234#95—611no—
1235#95—611no—
1236#95—611no—
1237#95—611no—
1238#95—611no—
1239#95—611no—
1240#95—611no—
1241#95—611no—
1242#95—611no—
1243#95—611no—
1244#95—611no—
1245#95—611no—
1246#95—611no—
1247#95—611no—
1248#95—611no—
1249#95—611no—
1250#95—611no—
1251#95—611no—
1252#95—611no—
1253#95—611no—
1254#95C22×D6111yescharacteristic
1255#95C22×D6111yescharacteristic
1256#95C22×D6111yescharacteristic
1257#95C22×D6111yescharacteristic
1258#95C22×D6111yescharacteristic
1259#95C22×D6111yescharacteristic
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—41no—
1267C24—611no—
1268C24—611no—
1269C24—611no—
1270C24—1222no—
1271C24—1222no—
1272C24—1222no—
1273C24—1222no—
1274C24—1222no—
1275C24—2441no—
1276C24—2441no—
1277C24C23×D6111yescharacteristic
1278C24C23×D6111yescharacteristic
1279C24C23×D6111yescharacteristic
1280C24C23×D6111yescharacteristic
1281C24C23×D6111yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—1222no—
1304C2×D4—1222no—
1305C2×D4—1222no—
1306C2×D4—1222no—
1307C2×D4—1222no—
1308C2×D4—1222no—
1309C2×D4—1222no—
1310C2×D4—1222no—
1311C2×D4—1222no—
1312C2×D4—1222no—
1313C2×D4—1222no—
1314C2×D4—1222no—
1315C2×D4—1222no—
1316C2×D4—1222no—
1317C2×D4—1222no—
1318C2×D4—1222no—
1319C2×D4—1222no—
1320C2×D4—1222no—
1321C2×D4—1222no—
1322C2×D4—2441no—
1323C2×D4—2441no—
1324C2×D4—2441no—
1325C2×D4—2441no—
1326C2×D4—2441no—
1327C2×D4—2441no—
1328C2×D4—2441no—
1329C2×D4—2441no—
1330C2×D4—2441no—
1331C2×D4—2441no—
1332C2×D4—2441no—
1333C2×D4—2441no—
1334C2×D4—2441no—
1335C2×D4—2441no—
1336C2×D4—2441no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4—2441no—
1340C2×D4—2441no—
1341C2×D4—2441no—
1342C2×D4—2441no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—2441no—
1348C2×D4—24416no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—614no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—1222no—
1370C22×C4—1222no—
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—24416no—
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×C4C23×D6111yescharacteristic
1400C22×C4C23×D6111yescharacteristic
1401C22×C4C23×D6111yescharacteristic
1402C22×C4C23×D6111yescharacteristic
1403C22×C4C23×D6111yescharacteristic
1404C22×C4C23×D6111yescharacteristic
1405C22×C4C23×D6111yescharacteristic
1406C22×C4C23×D6111yescharacteristic
1407C22×C4C23×D6111yescharacteristic
1408C22×C4C23×D6111yescharacteristic
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—1222no—
1413C4⋊C4—1222no—
1414C4⋊C4—1222no—
1415C4⋊C4—1222no—
1416C4⋊C4—2441no—
1417C4⋊C4—2441no—
1418C4⋊C4—2441no—
1419C4⋊C4—2441no—
1420C4⋊C4—2441no—
1421C4⋊C4—2441no—
1422C4⋊C4—2441no—
1423C4⋊C4—2441no—
1424C4⋊C4—2441no—
1425C4⋊C4—2441no—
1426C4⋊C4—2441no—
1427C4⋊C4—2441no—
1428C4⋊C4—2441no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—1222no—
1446C22⋊C4—1222no—
1447C22⋊C4—1222no—
1448C22⋊C4—1222no—
1449C22⋊C4—1222no—
1450C22⋊C4—1222no—
1451C22⋊C4—1222no—
1452C22⋊C4—1222no—
1453C22⋊C4—1222no—
1454C22⋊C4—1222no—
1455C22⋊C4—1222no—
1456C22⋊C4—1222no—
1457C22⋊C4—1222no—
1458C22⋊C4—2441no—
1459C22⋊C4—2441no—
1460C22⋊C4—2441no—
1461C22⋊C4—2441no—
1462C22⋊C4—2441no—
1463C22⋊C4—2441no—
1464C22⋊C4—2441no—
1465C22⋊C4—2441no—
1466C22⋊C4—2441no—
1467C22⋊C4—2441no—
1468C22⋊C4—2441no—
1469C22⋊C4—2441no—
1470C22⋊C4—2441no—
1471C22⋊C4—2441no—
1472C22⋊C4—2441no—
1473C22⋊C4—2441no—
1474C22⋊C4—2441no—
1475C22⋊C4—2441no—
1476C22⋊C4—2441no—
1477C22⋊C4—2441no—
1478C22⋊C4—2441no—
1479C22⋊C4—2441no—
1480C22⋊C4—2441no—
1481C22⋊C4—2441no—
1482C22⋊C4—2441no—
1483C22⋊C4—2441no—
1484C22⋊C4—2441no—
1485C22⋊C4—2441no—
1486C22⋊C4—2441no—
1487C42—1222no—
1488C42—2441no—
1489C42—2441no—
1490C42—2441no—
1491C42—2441no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—82no—
1528C23—82no—
1529C23—82no—
1530C23—82no—
1531C23—612no—
1532C23—612no—
1533C23—1228no—
1534C23—1221no—
1535C23—1221no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—1221no—
1543C23—1221no—
1544C23—1221no—
1545C23—1221no—
1546C23—1221no—
1547C23—1221no—
1548C23—1221no—
1549C23—1221no—
1550C23—1221no—
1551C23—1221no—
1552C23—1221no—
1553C23—2444no—
1554C23—2444no—
1555C23—2444no—
1556C23—2444no—
1557C23—2444no—
1558C23—2444no—
1559C23#41×D6112yes—
1560C23#1451982212yes—
1561C23#1451982212yes—
1562C23C24×D6111yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—82no—
1566D4—82no—
1567D4—82no—
1568D4—82no—
1569D4—82no—
1570D4—4882no—
1571D4—4882no—
1572D4—4882no—
1573D4—4882no—
1574D4—4882no—
1575D4—4882no—
1576D4—4882no—
1577D4—4882no—
1578D4—4882no—
1579D4—4882no—
1580D4—2444no—
1581D4—2444no—
1582D4—2444no—
1583D4—2444no—
1584D4—2444no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—44no—
1616C2×C4—82no—
1617C2×C4—612no—
1618C2×C4—612no—
1619C2×C4—612no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—1221no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—4882no—
1657C2×C4—4882no—
1658C2×C4—4882no—
1659C2×C4—4882no—
1660C2×C4—2444no—
1661C2×C4—2444no—
1662C2×C4—2444no—
1663C2×C4—2444no—
1664C2×C4—2444no—
1665C2×C4—2444no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—88no—
1701C22—1222no—
1702C22—1222no—
1703C22—1222no—
1704C22—1222no—
1705C22—1222no—
1706C22—1222no—
1707C22—24416no—
1708C22—2441no—
1709C22—2441no—
1710C22—2441no—
1711C22—2441no—
1712C22—2441no—
1713C22—2441no—
1714C22—2441no—
1715C22—2441no—
1716C22—2441no—
1717C22—2441no—
1718C22—2441no—
1719C22—2441no—
1720C22—2441no—
1721C22—2441no—
1722C22—2441no—
1723C22#1684036214yes—
1724C22C2×#41×D6111yescharacteristic
1725C22H(5,𝔽2)×D6111yescharacteristic
1726C22H(5,𝔽2)×D6111yescharacteristic
1727C22H(5,𝔽2)×D6111yescharacteristic
1728C22C2×#1451982211yescharacteristic
1729C22C2×#1451982211yescharacteristic
1730C22#1684059711yescharacteristic
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—1222no—
1742C4—1222no—
1743C4—1222no—
1744C4—2441no—
1745C4—2441no—
1746C4—2441no—
1747C4—2441no—
1748C4—2441no—
1749C4—2441no—
1750C4—2441no—
1751C4—2441no—
1752C4—2441no—
1753C4—2441no—
1754C2—24no—
1755C2—81no—
1756C2—81no—
1757C2—81no—
1758C2—81no—
1759C2—4881no—
1760C2—2442no—
1761C2—2442no—
1762C2C2×#1684036211yescharacteristic
1763C2#2145950511yescharacteristic
1764C2#2145966611yescharacteristic
1765C2#2145997311yescharacteristic
1766C2#2145999911yescharacteristic
1767C2#2146000611yescharacteristic
1768C2#2146005611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2617C2
hypercenter#2617D61
hypocenterC61#36794
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2617

Complements

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

NH ≅ G/Ntype
1. #21454110C2semidirect
2. #21454100C2semidirect
3. #21453683C2semidirect
4. #21453534C2semidirect
5. #21453146C2semidirect
6. #21453103C2semidirect
7. #21453085C2semidirect
8. #21453047C2semidirect
9. #21452912C2semidirect
10. #21452553C2semidirect
11. #21452545C2semidirect
12. #21452512C2semidirect
13. #21452455C2semidirect
14. #21452407C2semidirect
15. #21452261C2semidirect
16. #21452090C2semidirect
17. #21452087C2semidirect
18. #21452054C2semidirect
19. #21451592C2semidirect
20. #21451040C2semidirect
21. #21450777C2semidirect
22. #21449454C2semidirect
23. #21449361C2semidirect
24. #21449351C2semidirect
25. #21449287C2semidirect
26. #21449277C2semidirect
27. #21449172C2semidirect
28. #21448520C2semidirect
29. #21448445C2semidirect
30. C2×#16839638C2semidirect
31. C61×#2617C2semidirect
36. C2×#14519762C22semidirect
37. C2×#14519759C22semidirect
38. C2×#14519759C22semidirect
39. C2×#14519758C22semidirect
40. C2×#14519750C22semidirect
41. C2×#14519750C22semidirect
46. C2×#14519749C22semidirect
47. C2×#14519748C22semidirect
57. #16839703C22semidirect
58. #16839702C22semidirect
59. #16839698C22semidirect
60. #16839697C22semidirect
61. #16839695C22semidirect
62. #16839695C22semidirect
63. #16839693C22semidirect
64. #16839691C22semidirect
65. #16839690C22semidirect
66. #16839690C22semidirect
67. #16839690C22semidirect
68. #16839690C22semidirect
69. #16839690C22semidirect
70. #16839687C22semidirect
71. #16839685C22semidirect
72. #16839684C22semidirect
73. #16839680C22semidirect
74. #16839679C22semidirect
77. #16839678C22semidirect
78. #16839678C22semidirect
79. #16839678C22semidirect
80. #16839677C22semidirect
81. #16839677C22semidirect
82. #16839677C22semidirect
83. #16839677C22semidirect
84. #16839677C22semidirect
85. #16839676C22semidirect
86. #16839676C22semidirect
87. #16839676C22semidirect
94. #16839670C22semidirect
95. #16839670C22semidirect
96. #16839670C22semidirect
97. #16839665C22semidirect
102. #16839662C22semidirect
103. #16839656C22semidirect
104. #16839656C22semidirect
105. #16839656C22semidirect
106. #16839652C22semidirect
107. #16839652C22semidirect
108. #16839652C22semidirect
109. #16839651C22semidirect
110. #16839651C22semidirect
111. #16839650C22semidirect
112. #16839650C22semidirect
113. #16839650C22semidirect
114. #16839650C22semidirect
115. #16839649C22semidirect
116. #16839648C22semidirect
117. #16839647C22semidirect
118. #16839647C22semidirect
119. #16839645C22semidirect
120. #16839644C22semidirect
121. #16839644C22semidirect
122. #16839643C22semidirect
125. #16839642C22semidirect
126. #16839642C22semidirect
129. #16839640C22semidirect
130. #16839640C22semidirect
131. #16839640C22semidirect
132. #16839639C22semidirect
133. #16839639C22semidirect
134. #16839639C22semidirect
143. #16839638C22semidirect
144. #16839638C22semidirect
145. #16839638C22semidirect
146. #16839638C22semidirect
147. #16839638C22semidirect
148. #16839638C22semidirect
150. #16839636C22semidirect
151. #16839636C22semidirect
152. #16839636C22semidirect
156. #16839634C22semidirect
157. #16839629C22semidirect
158. #16839626C22semidirect
159. #16839624C22semidirect
160. #16839624C22semidirect
161. #16839623C22semidirect
162. #16839621C22semidirect
163. #16839621C22semidirect
166. #16839620C22semidirect
176. C61×#397C22semidirect
177. C61×#397C22semidirect
178. C61×#394C22semidirect
179. C61×#394C22semidirect
180. C61×#394C22semidirect
181. C61×#394C22semidirect
182. C61×#392C22semidirect
183. C61×#392C22semidirect
889. #2617D61semidirect
959. #397C2×D61semidirect
960. #397C2×D61semidirect
978. #394C2×D61semidirect
979. #394C2×D61semidirect
980. #394C2×D61semidirect
981. #394C2×D61semidirect
991. #392C2×D61semidirect
992. #392C2×D61semidirect
1071. C61#36794semidirect

Maximal subgroups

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

subgroupindex
#214541102
#214541002
#214536832
#214535342
#214531462
#214531032
#214530852
#214530472
#214529122
#214525532
#214525452
#214525122
#214524552
#214524072
#214522612
#214520902
#214520872
#214520542
#214515922
#214510402
#214507772
#214494542
#214493612
#214493512
#214492872
#214492772
#214491722
#214485202
#214484452
C2×#168396382
C61×#26172
#3679461