Finite Group Databasebeta

← #29888916

Subgroups — #29888916

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#21454109C211yesmaximal, characteristic, complemented
2#21454099C211yesmaximal, characteristic, complemented
3#21453670C211yesmaximal, characteristic, complemented
4#21453532C211yesmaximal, characteristic, complemented
5#21453143C211yesmaximal, characteristic, complemented
6#21453098C211yesmaximal, characteristic, complemented
7#21453081C211yesmaximal, characteristic, complemented
8#21453044C211yesmaximal, characteristic, complemented
9#21452917C211yesmaximal, characteristic, complemented
10#21452546C211yesmaximal, characteristic, complemented
11#21452546C211yesmaximal, characteristic, complemented
12#21452514C211yesmaximal, characteristic, complemented
13#21452469C211yesmaximal, characteristic, complemented
14#21452409C211yesmaximal, characteristic, complemented
15#21452254C211yesmaximal, characteristic, complemented
16#21452079C211yesmaximal, characteristic, complemented
17#21452079C211yesmaximal, characteristic, complemented
18#21452057C211yesmaximal, characteristic, complemented
19#21451594C211yesmaximal, characteristic, complemented
20#21451557C211yesmaximal, characteristic, complemented
21#21451038C211yesmaximal, characteristic, complemented
22#21450781C211yesmaximal, characteristic, complemented
23#21449359C211yesmaximal, characteristic, complemented
24#21449359C211yesmaximal, characteristic, complemented
25#21449277C211yesmaximal, characteristic, complemented
26#21449277C211yesmaximal, characteristic, complemented
27#21449169C211yesmaximal, characteristic, complemented
28#21448524C211yesmaximal, characteristic, complemented
29#21448446C211yesmaximal, characteristic, complemented
30C2×#16839642C211yesmaximal, characteristic, complemented
31C61×#2433C211yesmaximal, characteristic, complemented
32C24×Dic61C2211yescharacteristic
33C2×#14519758C2211yescharacteristic, complemented
34C2×#14519758C2211yescharacteristic, complemented
35C2×#14519758C2211yescharacteristic, complemented
36C2×#14519758C2211yescharacteristic, complemented
37C2×#14519749C2211yescharacteristic
38C2×#14519749C2211yescharacteristic
39C2×#14519749C2211yescharacteristic, complemented
40C2×#14519749C2211yescharacteristic, complemented
41C2×#14519749C2211yescharacteristic, complemented
42C2×#14519749C2211yescharacteristic, complemented
43C2×#14519748C2211yescharacteristic
44C2×#14519748C2211yescharacteristic
45C2×#14519746C2211yescharacteristic
46C2×#14519746C2211yescharacteristic
47C2×D4×Dic61C2211yescharacteristic
48C2×D4×Dic61C2211yescharacteristic
49C2×C4×C22⋊D61C2211yescharacteristic
50C22×C22⋊Dic61C2211yescharacteristic
51C22×C22⋊Dic61C2211yescharacteristic
52C22×C22⋊Dic61C2211yescharacteristic
53#16839704C2211yescharacteristic, complemented
54#16839704C2211yescharacteristic, complemented
55#16839698C2211yescharacteristic, complemented
56#16839698C2211yescharacteristic, complemented
57#16839696C2211yescharacteristic, complemented
58#16839696C2211yescharacteristic, complemented
59#16839693C2211yescharacteristic, complemented
60#16839690C2211yescharacteristic, complemented
61#16839690C2211yescharacteristic, complemented
62#16839690C2211yescharacteristic, complemented
63#16839690C2211yescharacteristic, complemented
64#16839690C2211yescharacteristic, complemented
65#16839690C2211yescharacteristic, complemented
66#16839688C2211yescharacteristic, complemented
67#16839687C2211yescharacteristic, complemented
68#16839687C2211yescharacteristic, complemented
69#16839685C2211yescharacteristic, complemented
70#16839685C2211yescharacteristic, complemented
71#16839678C2211yescharacteristic, complemented
72#16839678C2211yescharacteristic, complemented
73#16839677C2211yescharacteristic, complemented
74#16839677C2211yescharacteristic, complemented
75#16839676C2211yescharacteristic
76#16839676C2211yescharacteristic
77#16839676C2211yescharacteristic, complemented
78#16839676C2211yescharacteristic, complemented
79#16839676C2211yescharacteristic, complemented
80#16839676C2211yescharacteristic, complemented
81#16839676C2211yescharacteristic, complemented
82#16839676C2211yescharacteristic, complemented
83#16839676C2211yescharacteristic, complemented
84#16839676C2211yescharacteristic, complemented
85#16839676C2211yescharacteristic, complemented
86#16839676C2211yescharacteristic, complemented
87#16839676C2211yescharacteristic, complemented
88#16839676C2211yescharacteristic, complemented
89#16839676C2211yescharacteristic, complemented
90#16839670C2211yescharacteristic
91#16839670C2211yescharacteristic
92#16839670C2211yescharacteristic, complemented
93#16839670C2211yescharacteristic, complemented
94#16839670C2211yescharacteristic, complemented
95#16839670C2211yescharacteristic, complemented
96#16839670C2211yescharacteristic, complemented
97#16839665C2211yescharacteristic
98#16839665C2211yescharacteristic
99#16839662C2211yescharacteristic, complemented
100#16839662C2211yescharacteristic, complemented
101#16839656C2211yescharacteristic, complemented
102#16839656C2211yescharacteristic, complemented
103#16839655C2211yescharacteristic, complemented
104#16839655C2211yescharacteristic, complemented
105#16839653C2211yescharacteristic, complemented
106#16839653C2211yescharacteristic, complemented
107#16839650C2211yescharacteristic, complemented
108#16839650C2211yescharacteristic, complemented
109#16839650C2211yescharacteristic, complemented
110#16839650C2211yescharacteristic, complemented
111#16839650C2211yescharacteristic, complemented
112#16839650C2211yescharacteristic, complemented
113#16839648C2211yescharacteristic, complemented
114#16839648C2211yescharacteristic, complemented
115#16839646C2211yescharacteristic, complemented
116#16839646C2211yescharacteristic, complemented
117#16839646C2211yescharacteristic, complemented
118#16839646C2211yescharacteristic, complemented
119#16839646C2211yescharacteristic, complemented
120#16839646C2211yescharacteristic, complemented
121#16839642C2211yescharacteristic
122#16839642C2211yescharacteristic
123#16839642C2211yescharacteristic
124#16839642C2211yescharacteristic
125#16839642C2211yescharacteristic
126#16839642C2211yescharacteristic
127#16839642C2211yescharacteristic
128#16839642C2211yescharacteristic
129#16839642C2211yescharacteristic
130#16839642C2211yescharacteristic
131#16839642C2211yescharacteristic
132#16839642C2211yescharacteristic
133#16839642C2211yescharacteristic, complemented
134#16839642C2211yescharacteristic, complemented
135#16839642C2211yescharacteristic, complemented
136#16839642C2211yescharacteristic, complemented
137#16839642C2211yescharacteristic, complemented
138#16839642C2211yescharacteristic, complemented
139#16839642C2211yescharacteristic, complemented
140#16839642C2211yescharacteristic, complemented
141#16839642C2211yescharacteristic, complemented
142#16839642C2211yescharacteristic, complemented
143#16839639C2211yescharacteristic
144#16839639C2211yescharacteristic
145#16839639C2211yescharacteristic, complemented
146#16839639C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic, complemented
149#16839637C2211yescharacteristic, complemented
150#16839637C2211yescharacteristic, complemented
151#16839634C2211yescharacteristic
152#16839634C2211yescharacteristic
153#16839634C2211yescharacteristic
154#16839634C2211yescharacteristic
155#16839634C2211yescharacteristic, complemented
156#16839634C2211yescharacteristic, complemented
157#16839629C2211yescharacteristic, complemented
158#16839626C2211yescharacteristic, complemented
159#16839624C2211yescharacteristic, complemented
160#16839623C2211yescharacteristic, complemented
161#16839623C2211yescharacteristic, complemented
162#16839622C2211yescharacteristic
163#16839621C2211yescharacteristic, complemented
164#16839620C2211yescharacteristic
165#16839620C2211yescharacteristic
166#16839620C2211yescharacteristic, complemented
167#16839620C2211yescharacteristic, complemented
168#16839618C2211yescharacteristic
169#16839618C2211yescharacteristic
170C2×#14519684C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C23×D4×C61C2211yescharacteristic
173C2×#127×C61C2211yescharacteristic
174C2×#127×C61C2211yescharacteristic
175C2×#121×C61C2211yescharacteristic
176C2×#120×C61C2211yescharacteristic
177C2×#120×C61C2211yescharacteristic
178C2×#120×C61C2211yescharacteristic
179C2×#120×C61C2211yescharacteristic
180C61×#392C2211yescharacteristic
181C61×#392C2211yescharacteristic
182C61×#392C2211yescharacteristic
183C61×#392C2211yescharacteristic
184C61×#390C2211yescharacteristic
185C61×#390C2211yescharacteristic
186C4×C22⋊C4×C61C2211yescharacteristic
187C22×C22⋊D61C2311yescharacteristic
188C22×C22⋊D61C2311yescharacteristic
189C22×C22⋊D61C2311yescharacteristic
190C22×C22⋊D61C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C23×Dic61—42no—
195C23×Dic61—42no—
196C23×Dic61—42no—
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208#14519758—42no—
209#14519758—42no—
210#14519758—42no—
211#14519758—42no—
212#14519749—42no—
213#14519749—42no—
214#14519749—42no—
215#14519749—42no—
216#14519749—42no—
217#14519749—42no—
218#14519748—42no—
219#14519748—42no—
220#14519746—42no—
221#14519746—42no—
222D4×Dic61—42no—
223D4×Dic61—42no—
224C4×C22⋊D61—24no—
225C2×C4⋊Dic61C2311yescharacteristic
226C2×C4⋊Dic61C2311yescharacteristic
227C2×C4⋊Dic61C2311yescharacteristic
228C2×C4⋊Dic61C2311yescharacteristic
229C2×#11758196C2311yescharacteristic
230C2×#11758196C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×C22⋊Dic61—42no—
245C2×C22⋊Dic61—42no—
246C2×C22⋊Dic61—42no—
247C2×C22⋊Dic61C2311yescharacteristic
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
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×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×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×C4×Dic61C2311yescharacteristic
294C2×C4×Dic61C2311yescharacteristic
295C2×C4×Dic61C2311yescharacteristic
296#14519684C2311yescharacteristic
297#14519684C2311yescharacteristic
298#14519684C2311yescharacteristic
299#14519684C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
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
330C25×C61C2311yescharacteristic
331C25×C61C2311yescharacteristic
332C22×D4×C61—24no—
333C22×D4×C61—42no—
334C22×D4×C61—42no—
335C22×D4×C61C2311yescharacteristic
336C22×D4×C61C2311yescharacteristic
337C22×D4×C61C2311yescharacteristic
338C22×D4×C61C2311yescharacteristic
339C22×D4×C61C2311yescharacteristic
340C22×D4×C61C2311yescharacteristic
341C22×D4×C61C2311yescharacteristic
342C22×D4×C61C2311yescharacteristic
343C22×D4×C61C2311yescharacteristic
344C22×D4×C61C2311yescharacteristic
345C22×D4×C61C2311yescharacteristic
346C22×D4×C61C2311yescharacteristic
347C22×D4×C61C2311yescharacteristic
348C22×D4×C61C2311yescharacteristic
349C22×D4×C61C2311yescharacteristic
350C23×C4×C61C2311yescharacteristic
351#127×C61—42no—
352#127×C61—42no—
353#121×C61—24no—
354#120×C61—42no—
355#120×C61—42no—
356#120×C61—42no—
357#120×C61—42no—
358C2×C4⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C42×C61C2311yescharacteristic
372C2×C42×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375C24×C61—22no—
376C24×C61—22no—
377C24×C61—22no—
378C24×C61—22no—
379C24×C61—22no—
380C24×C61—22no—
381C24×C61—22no—
382C24×C61—22no—
383C24×C61—41no—
384C24×C61—41no—
385C24×C61—41no—
386C24×C61—41no—
387C24×C61—41no—
388C24×C61—41no—
389C24×C61C2411yescharacteristic
390C24×C61C2411yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C24×C61C2411yescharacteristic
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—22no—
404C2×D4×C61—22no—
405C2×D4×C61—22no—
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—22no—
411C2×D4×C61—22no—
412C2×D4×C61—22no—
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—22no—
416C2×D4×C61—41no—
417C2×D4×C61—41no—
418C2×D4×C61—41no—
419C2×D4×C61—41no—
420C2×D4×C61—41no—
421C2×D4×C61—41no—
422C2×D4×C61—41no—
423C2×D4×C61—41no—
424C2×D4×C61—41no—
425C2×D4×C61—41no—
426C2×D4×C61—41no—
427C2×D4×C61—41no—
428C2×D4×C61—41no—
429C2×D4×C61—41no—
430C2×D4×C61—41no—
431C2×D4×C61—41no—
432C2×D4×C61—41no—
433C2×D4×C61—41no—
434C2×D4×C61—41no—
435C2×D4×C61—41no—
436C2×D4×C61—41no—
437C2×D4×C61—41no—
438C2×D4×C61—41no—
439C2×D4×C61—41no—
440C2×D4×C61—41no—
441C2×D4×C61—41no—
442C2×D4×C61—416no—
443C22×C4×C61—41no—
444C22×C4×C61—41no—
445C22×C4×C61#4114yes—
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C2×C22⋊D61—22no—
455C2×C22⋊D61—22no—
456C2×C22⋊D61—22no—
457C2×C22⋊D61—22no—
458C2×C22⋊D61—22no—
459C2×C22⋊D61—22no—
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—41no—
474C2×C22⋊D61—41no—
475C22×Dic61—22no—
476C22×Dic61—22no—
477C22×Dic61—22no—
478C22×Dic61—22no—
479C22×Dic61—22no—
480C22×Dic61—22no—
481C22×Dic61—22no—
482C22×Dic61—22no—
483C22×Dic61—22no—
484C22×Dic61—41no—
485C22×Dic61—41no—
486C22×Dic61—41no—
487C22×Dic61—41no—
488C22×Dic61—41no—
489C22×Dic61—41no—
490C22×Dic61—41no—
491C22×Dic61—41no—
492C22×Dic61—41no—
493C22×Dic61—41no—
494C22×Dic61—41no—
495C22×Dic61—41no—
496C22×Dic61—41no—
497C22×Dic61—41no—
498C22×Dic61—41no—
499C22×Dic61—41no—
500C22×Dic61—41no—
501C22×Dic61—41no—
502C22×Dic61—41no—
503C22×Dic61—41no—
504C22×Dic61—41no—
505C22×Dic61—416no—
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C22×Dic61C2411yescharacteristic
516C22×Dic61C2411yescharacteristic
517C22×Dic61C2411yescharacteristic
518C22×Dic61C2411yescharacteristic
519C22×Dic61C2411yescharacteristic
520C22×Dic61C2411yescharacteristic
521C2×C4×D61—22no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C4⋊C4×C61—22no—
525C22⋊C4×C61—22no—
526C22⋊C4×C61—22no—
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—
537C42×C61—41no—
538C42×C61—41no—
539C22⋊Dic61—22no—
540C22⋊Dic61—22no—
541C22⋊Dic61—22no—
542C22⋊Dic61—22no—
543C22⋊Dic61—22no—
544C22⋊Dic61—22no—
545C22⋊Dic61—22no—
546C22⋊Dic61—22no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—41no—
550C22⋊Dic61—41no—
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—
564C22⋊Dic61—41no—
565C22⋊Dic61—41no—
566C22⋊Dic61—41no—
567C22⋊Dic61—41no—
568C22⋊Dic61—41no—
569C22⋊Dic61—41no—
570C22⋊Dic61—41no—
571C22⋊Dic61—41no—
572C22⋊Dic61—41no—
573C22⋊Dic61—41no—
574C22⋊Dic61—41no—
575C22⋊Dic61—41no—
576C22⋊Dic61—41no—
577C22⋊Dic61—41no—
578#11758198—22no—
579#11758198—41no—
580#11758198—41no—
581#11758198—41no—
582#11758198—41no—
583#11758198—41no—
584#11758198—41no—
585C4⋊Dic61—41no—
586C4⋊Dic61—41no—
587C4⋊Dic61—41no—
588C4⋊Dic61—41no—
589#11758196—22no—
590#11758196—22no—
591#11758196—22no—
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—
602#11758196—41no—
603#11758196—41no—
604C4×Dic61—22no—
605C4×Dic61—41no—
606C4×Dic61—41no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—28no—
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—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
647C23×C61—21no—
648C23×C61—21no—
649C23×C61—21no—
650C23×C61—21no—
651C23×C61—21no—
652C23×C61—44no—
653C23×C61—44no—
654C23×C61—44no—
655C23×C61—44no—
656C23×C61—44no—
657C23×C61—44no—
658C23×C61—44no—
659C23×C61—44no—
660C23×C61—44no—
661C23×C61—82no—
662C23×C61—82no—
663C23×C61—82no—
664C23×C61—82no—
665C23×C61C2×#4112yes—
666C23×C61H(5,𝔽2)12yes—
667C23×C61H(5,𝔽2)12yes—
668C23×C61H(5,𝔽2)12yes—
669C23×C61H(5,𝔽2)12yes—
670C23×C61C2511yescharacteristic
671C22×D61—21no—
672C22×D61—21no—
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678D4×C61—44no—
679D4×C61—44no—
680D4×C61—44no—
681D4×C61—44no—
682D4×C61—44no—
683D4×C61—44no—
684D4×C61—82no—
685D4×C61—82no—
686D4×C61—82no—
687D4×C61—82no—
688D4×C61—82no—
689D4×C61—82no—
690D4×C61—82no—
691D4×C61—82no—
692D4×C61—82no—
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×C61C2×#4112yes—
717C2×C4×C61C2×#4112yes—
718C22⋊D61—44no—
719C22⋊D61—82no—
720C22⋊D61—82no—
721C22⋊D61—82no—
722C22⋊D61—82no—
723C22⋊D61—82no—
724C22⋊D61—82no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
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—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—44no—
770C2×Dic61—44no—
771C2×Dic61—44no—
772C2×Dic61—44no—
773C2×Dic61—44no—
774C2×Dic61—44no—
775C2×Dic61—82no—
776C2×Dic61—82no—
777C2×Dic61—82no—
778C2×Dic61—82no—
779C2×Dic61H(5,𝔽2)12yes—
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—22no—
789C22×C61—22no—
790C22×C61—22no—
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—22no—
794C22×C61—416no—
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—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—88no—
832C22×C61#54014yes—
833C22×C61C22×#4111yescharacteristic
834C22×C61C2×H(5,𝔽2)11yescharacteristic
835C22×C61C2×H(5,𝔽2)11yescharacteristic
836C22×C61C2×H(5,𝔽2)11yescharacteristic
837C22×C61C2×H(5,𝔽2)11yescharacteristic
838C22×C61C2×H(5,𝔽2)11yescharacteristic
839C22×C61#58511yescharacteristic
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C4×C61—22no—
848C4×C61—22no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855Dic61—22no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
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#2617—611no—
890#2569—611no—
891#2543—611no—
892#2433D6111yescharacteristic, complemented
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—42no—
903C2×C61—42no—
904C2×C61—81no—
905C2×C61—81no—
906C2×C61—81no—
907C2×C61—81no—
908C2×C61C2×#54011yescharacteristic
909C2×C61#349011yescharacteristic
910C2×C61#350611yescharacteristic
911C2×C61#353211yescharacteristic
912C2×C61#353411yescharacteristic
913C2×C61#353411yescharacteristic
914C2×C61#353711yescharacteristic
915D61—81no—
916C23×D4C2×D6111yescharacteristic
917C24×C4—611no—
918C2×#127C2×D6111yescharacteristic
919C2×#127C2×D6111yescharacteristic
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×#120C2×D6111yescharacteristic
936C2×#120C2×D6111yescharacteristic
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⋊C4—611no—
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#397—611no—
960#397—611no—
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#394—611no—
979#394—611no—
980#394—611no—
981#394—611no—
982#392—611no—
983#392—611no—
984#392—611no—
985#392—611no—
986#392—611no—
987#392—611no—
988#392—611no—
989#392C2×D6111yescharacteristic
990#392C2×D6111yescharacteristic
991#392C2×D6111yescharacteristic
992#392C2×D6111yescharacteristic
993#390—611no—
994#390—611no—
995#390—611no—
996#390—611no—
997#390C2×D6111yescharacteristic
998#390C2×D6111yescharacteristic
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#386—611no—
1046#386—611no—
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#380—611no—
1066#379—611no—
1067#379—611no—
1068C4×C22⋊C4C2×D6111yescharacteristic
1069C2×#95—611no—
1070C2×#95—611no—
1071C61#3679411yescharacteristic, complemented, Sylow
1072C25C22×D6111yescharacteristic
1073C25C22×D6111yescharacteristic
1074C22×D4—24no—
1075C22×D4—42no—
1076C22×D4—42no—
1077C22×D4—611no—
1078C22×D4—611no—
1079C22×D4—611no—
1080C22×D4—611no—
1081C22×D4—611no—
1082C22×D4—611no—
1083C22×D4—611no—
1084C22×D4C22×D6111yescharacteristic
1085C22×D4C22×D6111yescharacteristic
1086C22×D4C22×D6111yescharacteristic
1087C22×D4C22×D6111yescharacteristic
1088C22×D4C22×D6111yescharacteristic
1089C22×D4C22×D6111yescharacteristic
1090C22×D4C22×D6111yescharacteristic
1091C22×D4C22×D6111yescharacteristic
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—611no—
1110C23×C4—2442no—
1111C23×C4—2442no—
1112C23×C4—2442no—
1113C23×C4C22×D6111yescharacteristic
1114#127—42no—
1115#127—42no—
1116#123—2442no—
1117#123—2442no—
1118#123—2442no—
1119#123—2442no—
1120#121—24no—
1121#121—2442no—
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—42no—
1132#120—42no—
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⋊C4—611no—
1156C2×C4⋊C4—611no—
1157C2×C4⋊C4C22×D6111yescharacteristic
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—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—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—2442no—
1205C2×C22⋊C4—2442no—
1206C2×C22⋊C4—2442no—
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×C42C22×D6111yescharacteristic
1223C2×C42C22×D6111yescharacteristic
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#95—611no—
1255#95—611no—
1256#95—611no—
1257#95—611no—
1258#95C22×D6111yescharacteristic
1259#95C22×D6111yescharacteristic
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—611no—
1275C24C23×D6111yescharacteristic
1276C24C23×D6111yescharacteristic
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—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—416no—
1328C2×D4—1222no—
1329C2×D4—1222no—
1330C2×D4—1222no—
1331C2×D4—1222no—
1332C2×D4—1222no—
1333C2×D4—1222no—
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—2441no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—611no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—1222no—
1367C22×C4—1222no—
1368C22×C4—1222no—
1369C22×C4—1222no—
1370C22×C4—1222no—
1371C22×C4—1222no—
1372C22×C4—1222no—
1373C22×C4—1222no—
1374C22×C4—1222no—
1375C22×C4—1222no—
1376C22×C4—2441no—
1377C22×C4—2441no—
1378C22×C4—2441no—
1379C22×C4—2441no—
1380C22×C4—2441no—
1381C22×C4—2441no—
1382C22×C4—2441no—
1383C22×C4—2441no—
1384C22×C4—2441no—
1385C22×C4—2441no—
1386C22×C4—2441no—
1387C22×C4—2441no—
1388C22×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—24416no—
1400C22×C4#1175822414yes—
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—22no—
1410C4⋊C4—1222no—
1411C4⋊C4—1222no—
1412C4⋊C4—1222no—
1413C4⋊C4—2441no—
1414C4⋊C4—2441no—
1415C4⋊C4—2441no—
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—22no—
1432C22⋊C4—22no—
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—1222no—
1442C22⋊C4—1222no—
1443C22⋊C4—1222no—
1444C22⋊C4—1222no—
1445C22⋊C4—1222no—
1446C22⋊C4—1222no—
1447C22⋊C4—1222no—
1448C22⋊C4—1222no—
1449C22⋊C4—1222no—
1450C22⋊C4—1222no—
1451C22⋊C4—1222no—
1452C22⋊C4—2441no—
1453C22⋊C4—2441no—
1454C22⋊C4—2441no—
1455C22⋊C4—2441no—
1456C22⋊C4—2441no—
1457C22⋊C4—2441no—
1458C22⋊C4—2441no—
1459C22⋊C4—2441no—
1460C22⋊C4—2441no—
1461C22⋊C4—2441no—
1462C22⋊C4—2441no—
1463C22⋊C4—2441no—
1464C22⋊C4—2441no—
1465C22⋊C4—2441no—
1466C22⋊C4—2441no—
1467C22⋊C4—2441no—
1468C22⋊C4—2441no—
1469C22⋊C4—2441no—
1470C22⋊C4—2441no—
1471C22⋊C4—2441no—
1472C22⋊C4—2441no—
1473C22⋊C4—2441no—
1474C22⋊C4—2441no—
1475C22⋊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—41no—
1488C42—41no—
1489C42—1222no—
1490C42—2441no—
1491C42—2441no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—28no—
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—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—44no—
1538C23—44no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—82no—
1547C23—82no—
1548C23—82no—
1549C23—82no—
1550C23—1221no—
1551C23—1221no—
1552C23—1221no—
1553C23—1221no—
1554C23—1221no—
1555C23—1221no—
1556C23—1221no—
1557C23C2×#1175822412yes—
1558C23#1451982212yes—
1559C23#1451982212yes—
1560C23#1451982212yes—
1561C23#1451982212yes—
1562C23C24×D6111yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—44no—
1566D4—44no—
1567D4—44no—
1568D4—44no—
1569D4—82no—
1570D4—82no—
1571D4—82no—
1572D4—82no—
1573D4—82no—
1574D4—82no—
1575D4—82no—
1576D4—82no—
1577D4—82no—
1578D4—4882no—
1579D4—4882no—
1580D4—4882no—
1581D4—4882no—
1582D4—4882no—
1583D4—4882no—
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—44no—
1608C2×C4—612no—
1609C2×C4—1221no—
1610C2×C4—1221no—
1611C2×C4—1221no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—1221no—
1619C2×C4—1221no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—1221no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—4882no—
1654C2×C4—4882no—
1655C2×C4—4882no—
1656C2×C4—4882no—
1657C2×C4—4882no—
1658C2×C4—2444no—
1659C2×C4—2444no—
1660C2×C4—2444no—
1661C2×C4—2444no—
1662C2×C4—2444no—
1663C2×C4—2444no—
1664C2×C4C2×#1175822412yes—
1665C2×C4C2×#1175822412yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—416no—
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—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—88no—
1716C22—2441no—
1717C22—2441no—
1718C22—2441no—
1719C22—2441no—
1720C22—2441no—
1721C22—2441no—
1722C22—2441no—
1723C22#1684036614yes—
1724C22C22×#1175822411yescharacteristic
1725C22H(5,𝔽2)×D6111yescharacteristic
1726C22C2×#1451982211yescharacteristic
1727C22C2×#1451982211yescharacteristic
1728C22C2×#1451982211yescharacteristic
1729C22C2×#1451982211yescharacteristic
1730C22#1684059711yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—1222no—
1740C4—2441no—
1741C4—2441no—
1742C4—2441no—
1743C4—2441no—
1744C4—2441no—
1745C4—2441no—
1746C4—2441no—
1747C4—2441no—
1748C4—2441no—
1749C4—2441no—
1750C4—2441no—
1751C4—2441no—
1752C4—2441no—
1753C4—2441no—
1754C2—24no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—81no—
1759C2—81no—
1760C2—81no—
1761C2—4881no—
1762C2C2×#1684036611yescharacteristic
1763C2#2145950611yescharacteristic
1764C2#2145967011yescharacteristic
1765C2#2145996911yescharacteristic
1766C2#2145999711yescharacteristic
1767C2#2145999711yescharacteristic
1768C2#2146004911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2433C2
hypercenter#2433D61
hypocenterC61#36794
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2433

Complements

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

NH ≅ G/Ntype
1. #21454109C2semidirect
2. #21454099C2semidirect
3. #21453670C2semidirect
4. #21453532C2semidirect
5. #21453143C2semidirect
6. #21453098C2semidirect
7. #21453081C2semidirect
8. #21453044C2semidirect
9. #21452917C2semidirect
10. #21452546C2semidirect
11. #21452546C2semidirect
12. #21452514C2semidirect
13. #21452469C2semidirect
14. #21452409C2semidirect
15. #21452254C2semidirect
16. #21452079C2semidirect
17. #21452079C2semidirect
18. #21452057C2semidirect
19. #21451594C2semidirect
20. #21451557C2semidirect
21. #21451038C2semidirect
22. #21450781C2semidirect
23. #21449359C2semidirect
24. #21449359C2semidirect
25. #21449277C2semidirect
26. #21449277C2semidirect
27. #21449169C2semidirect
28. #21448524C2semidirect
29. #21448446C2semidirect
30. C2×#16839642C2semidirect
31. C61×#2433C2semidirect
33. C2×#14519758C22semidirect
34. C2×#14519758C22semidirect
35. C2×#14519758C22semidirect
36. C2×#14519758C22semidirect
39. C2×#14519749C22semidirect
40. C2×#14519749C22semidirect
41. C2×#14519749C22semidirect
42. C2×#14519749C22semidirect
53. #16839704C22semidirect
54. #16839704C22semidirect
55. #16839698C22semidirect
56. #16839698C22semidirect
57. #16839696C22semidirect
58. #16839696C22semidirect
59. #16839693C22semidirect
60. #16839690C22semidirect
61. #16839690C22semidirect
62. #16839690C22semidirect
63. #16839690C22semidirect
64. #16839690C22semidirect
65. #16839690C22semidirect
66. #16839688C22semidirect
67. #16839687C22semidirect
68. #16839687C22semidirect
69. #16839685C22semidirect
70. #16839685C22semidirect
71. #16839678C22semidirect
72. #16839678C22semidirect
73. #16839677C22semidirect
74. #16839677C22semidirect
77. #16839676C22semidirect
78. #16839676C22semidirect
79. #16839676C22semidirect
80. #16839676C22semidirect
81. #16839676C22semidirect
82. #16839676C22semidirect
83. #16839676C22semidirect
84. #16839676C22semidirect
85. #16839676C22semidirect
86. #16839676C22semidirect
87. #16839676C22semidirect
88. #16839676C22semidirect
89. #16839676C22semidirect
92. #16839670C22semidirect
93. #16839670C22semidirect
94. #16839670C22semidirect
95. #16839670C22semidirect
96. #16839670C22semidirect
99. #16839662C22semidirect
100. #16839662C22semidirect
101. #16839656C22semidirect
102. #16839656C22semidirect
103. #16839655C22semidirect
104. #16839655C22semidirect
105. #16839653C22semidirect
106. #16839653C22semidirect
107. #16839650C22semidirect
108. #16839650C22semidirect
109. #16839650C22semidirect
110. #16839650C22semidirect
111. #16839650C22semidirect
112. #16839650C22semidirect
113. #16839648C22semidirect
114. #16839648C22semidirect
115. #16839646C22semidirect
116. #16839646C22semidirect
117. #16839646C22semidirect
118. #16839646C22semidirect
119. #16839646C22semidirect
120. #16839646C22semidirect
133. #16839642C22semidirect
134. #16839642C22semidirect
135. #16839642C22semidirect
136. #16839642C22semidirect
137. #16839642C22semidirect
138. #16839642C22semidirect
139. #16839642C22semidirect
140. #16839642C22semidirect
141. #16839642C22semidirect
142. #16839642C22semidirect
145. #16839639C22semidirect
146. #16839639C22semidirect
147. #16839638C22semidirect
148. #16839638C22semidirect
149. #16839637C22semidirect
150. #16839637C22semidirect
155. #16839634C22semidirect
156. #16839634C22semidirect
157. #16839629C22semidirect
158. #16839626C22semidirect
159. #16839624C22semidirect
160. #16839623C22semidirect
161. #16839623C22semidirect
163. #16839621C22semidirect
166. #16839620C22semidirect
167. #16839620C22semidirect
892. #2433D61semidirect
1071. C61#36794semidirect

Maximal subgroups

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

subgroupindex
#214541092
#214540992
#214536702
#214535322
#214531432
#214530982
#214530812
#214530442
#214529172
#214525462
#214525142
#214524692
#214524092
#214522542
#214520792
#214520572
#214515942
#214515572
#214510382
#214507812
#214493592
#214492772
#214491692
#214485242
#214484462
C2×#168396422
C61×#24332
#3679461