Finite Group Databasebeta

← #29887890

Subgroups — #29887890

Order 15616.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454104C211yesmaximal, characteristic, complemented
2#21454099C211yesmaximal, characteristic, complemented
3#21453670C211yesmaximal, characteristic, complemented
4#21453477C211yesmaximal, characteristic, complemented
5#21453453C211yesmaximal, characteristic, complemented
6#21453437C211yesmaximal, characteristic, complemented
7#21453434C211yesmaximal, characteristic, complemented
8#21453141C211yesmaximal, characteristic, complemented
9#21453091C211yesmaximal, characteristic, complemented
10#21453037C211yesmaximal, characteristic, complemented
11#21452935C211yesmaximal, characteristic, complemented
12#21452816C211yesmaximal, characteristic, complemented
13#21452610C211yesmaximal, characteristic, complemented
14#21452463C211yesmaximal, characteristic, complemented
15#21452444C211yesmaximal, characteristic, complemented
16#21452373C211yesmaximal, characteristic, complemented
17#21452252C211yesmaximal, characteristic, complemented
18#21452117C211yesmaximal, characteristic, complemented
19#21451534C211yesmaximal, characteristic, complemented
20#21451533C211yesmaximal, characteristic, complemented
21#21450198C211yesmaximal, characteristic, complemented
22#21450147C211yesmaximal, characteristic, complemented
23#21450067C211yesmaximal, characteristic, complemented
24#21449945C211yesmaximal, characteristic, complemented
25#21449364C211yesmaximal, characteristic, complemented
26#21449357C211yesmaximal, characteristic, complemented
27#21449298C211yesmaximal, characteristic, complemented
28#21449275C211yesmaximal, characteristic, complemented
29#21448477C211yesmaximal, characteristic, complemented
30C2×#16839639C211yesmaximal, characteristic, complemented
31C61×#2321C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C24×Dic61C2211yescharacteristic
34C2×#14519772C2211yescharacteristic, complemented
35C2×#14519765C2211yescharacteristic, complemented
36C2×#14519761C2211yescharacteristic
37C2×#14519760C2211yescharacteristic, complemented
38C2×#14519758C2211yescharacteristic
39C2×#14519754C2211yescharacteristic
40C2×#14519754C2211yescharacteristic, complemented
41C2×#14519754C2211yescharacteristic, complemented
42C2×#14519750C2211yescharacteristic, complemented
43C2×#14519749C2211yescharacteristic
44C2×#14519749C2211yescharacteristic, complemented
45C2×#14519749C2211yescharacteristic, complemented
46C2×#14519747C2211yescharacteristic
47C2×#14519746C2211yescharacteristic
48C2×#14519745C2211yescharacteristic
49C2×C4×C22⋊D61C2211yescharacteristic
50C22×#11758198C2211yescharacteristic
51C22×#11758198C2211yescharacteristic
52C61⋊#401C2211yescharacteristic, complemented
53#16839704C2211yescharacteristic, complemented
54#16839704C2211yescharacteristic, complemented
55#16839703C2211yescharacteristic, complemented
56#16839703C2211yescharacteristic, complemented
57#16839703C2211yescharacteristic, complemented
58#16839703C2211yescharacteristic, complemented
59#16839697C2211yescharacteristic, complemented
60#16839695C2211yescharacteristic, complemented
61#16839692C2211yescharacteristic, complemented
62#16839691C2211yescharacteristic, complemented
63#16839691C2211yescharacteristic, complemented
64#16839690C2211yescharacteristic, complemented
65#16839689C2211yescharacteristic, complemented
66#16839689C2211yescharacteristic, complemented
67#16839688C2211yescharacteristic, complemented
68#16839688C2211yescharacteristic, complemented
69#16839688C2211yescharacteristic, complemented
70#16839687C2211yescharacteristic, complemented
71#16839686C2211yescharacteristic, complemented
72#16839684C2211yescharacteristic, complemented
73#16839684C2211yescharacteristic, complemented
74#16839680C2211yescharacteristic, complemented
75#16839680C2211yescharacteristic, complemented
76#16839680C2211yescharacteristic, complemented
77#16839678C2211yescharacteristic
78#16839678C2211yescharacteristic
79#16839678C2211yescharacteristic
80#16839678C2211yescharacteristic
81#16839678C2211yescharacteristic, complemented
82#16839677C2211yescharacteristic
83#16839677C2211yescharacteristic
84#16839677C2211yescharacteristic
85#16839677C2211yescharacteristic
86#16839677C2211yescharacteristic, complemented
87#16839677C2211yescharacteristic, complemented
88#16839677C2211yescharacteristic, complemented
89#16839675C2211yescharacteristic, complemented
90#16839674C2211yescharacteristic, complemented
91#16839671C2211yescharacteristic
92#16839671C2211yescharacteristic
93#16839671C2211yescharacteristic
94#16839671C2211yescharacteristic
95#16839671C2211yescharacteristic, complemented
96#16839670C2211yescharacteristic
97#16839670C2211yescharacteristic
98#16839670C2211yescharacteristic
99#16839670C2211yescharacteristic
100#16839666C2211yescharacteristic, complemented
101#16839664C2211yescharacteristic, complemented
102#16839662C2211yescharacteristic, complemented
103#16839662C2211yescharacteristic, complemented
104#16839662C2211yescharacteristic, complemented
105#16839660C2211yescharacteristic, complemented
106#16839656C2211yescharacteristic, complemented
107#16839656C2211yescharacteristic, complemented
108#16839655C2211yescharacteristic, complemented
109#16839654C2211yescharacteristic, complemented
110#16839653C2211yescharacteristic, complemented
111#16839653C2211yescharacteristic, complemented
112#16839653C2211yescharacteristic, complemented
113#16839653C2211yescharacteristic, complemented
114#16839653C2211yescharacteristic, complemented
115#16839652C2211yescharacteristic, complemented
116#16839651C2211yescharacteristic, complemented
117#16839651C2211yescharacteristic, complemented
118#16839650C2211yescharacteristic, complemented
119#16839650C2211yescharacteristic, complemented
120#16839650C2211yescharacteristic, complemented
121#16839649C2211yescharacteristic, complemented
122#16839648C2211yescharacteristic, complemented
123#16839646C2211yescharacteristic, complemented
124#16839646C2211yescharacteristic, complemented
125#16839646C2211yescharacteristic, complemented
126#16839642C2211yescharacteristic
127#16839642C2211yescharacteristic, complemented
128#16839642C2211yescharacteristic, complemented
129#16839641C2211yescharacteristic
130#16839641C2211yescharacteristic, complemented
131#16839641C2211yescharacteristic, complemented
132#16839640C2211yescharacteristic, complemented
133#16839639C2211yescharacteristic
134#16839639C2211yescharacteristic
135#16839639C2211yescharacteristic
136#16839639C2211yescharacteristic
137#16839639C2211yescharacteristic
138#16839639C2211yescharacteristic
139#16839639C2211yescharacteristic
140#16839639C2211yescharacteristic
141#16839639C2211yescharacteristic
142#16839639C2211yescharacteristic, complemented
143#16839639C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839637C2211yescharacteristic
147#16839637C2211yescharacteristic, complemented
148#16839637C2211yescharacteristic, complemented
149#16839635C2211yescharacteristic
150#16839634C2211yescharacteristic
151#16839634C2211yescharacteristic, complemented
152#16839634C2211yescharacteristic, complemented
153#16839633C2211yescharacteristic, complemented
154#16839630C2211yescharacteristic, complemented
155#16839626C2211yescharacteristic, complemented
156#16839624C2211yescharacteristic, complemented
157#16839623C2211yescharacteristic
158#16839623C2211yescharacteristic
159#16839622C2211yescharacteristic, complemented
160#16839620C2211yescharacteristic
161#16839620C2211yescharacteristic
162#16839620C2211yescharacteristic, complemented
163#16839620C2211yescharacteristic, complemented
164#16839620C2211yescharacteristic, complemented
165#16839620C2211yescharacteristic, complemented
166#16839618C2211yescharacteristic
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic
169C4×C22⋊Dic61C2211yescharacteristic
170C2×#14519684C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C2×#120×C61C2211yescharacteristic
173C2×C4×D4×C61C2211yescharacteristic
174C22×C22⋊C4×C61C2211yescharacteristic
175C61×#390C2211yescharacteristic, complemented
176C61×#390C2211yescharacteristic, complemented
177C61×#388C2211yescharacteristic, complemented
178C61×#388C2211yescharacteristic, complemented
179C61×#388C2211yescharacteristic, complemented
180C61×#388C2211yescharacteristic, complemented
181C61×#386C2211yescharacteristic
182C61×#386C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic, complemented
184C61×#385C2211yescharacteristic
185C61×#379C2211yescharacteristic
186C4×C22⋊C4×C61C2211yescharacteristic
187C24×D61C2311yescharacteristic
188C22×Dic122C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×C22⋊D61—24no—
192C22×C22⋊D61—42no—
193C22×C22⋊D61—42no—
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
204C23×Dic61—42no—
205C23×Dic61—42no—
206C23×Dic61—42no—
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215#14519772—42no—
216#14519765—42no—
217#14519761—42no—
218#14519760—42no—
219#14519758—42no—
220#14519754—42no—
221#14519754—42no—
222#14519754—42no—
223#14519750—42no—
224#14519749—42no—
225#14519749—42no—
226#14519749—42no—
227#14519747—42no—
228#14519746—24no—
229#14519745—42no—
230C4×C22⋊D61—42no—
231C2×C4⋊Dic61C2311yescharacteristic
232C2×C4⋊Dic61C2311yescharacteristic
233C2×C4⋊Dic61C2311yescharacteristic
234C2×C4⋊Dic61C2311yescharacteristic
235C2×C4⋊Dic61C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
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×#11758198—42no—
265C2×#11758198—42no—
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×C4×Dic61C2311yescharacteristic
295C2×C4×Dic61C2311yescharacteristic
296C2×C4×Dic61C2311yescharacteristic
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
330#14519684C2311yescharacteristic
331C25×C61C2311yescharacteristic
332C22×D4×C61C2311yescharacteristic
333C22×D4×C61C2311yescharacteristic
334C22×D4×C61C2311yescharacteristic
335C23×C4×C61C2311yescharacteristic
336C23×C4×C61C2311yescharacteristic
337C23×C4×C61C2311yescharacteristic
338#120×C61—24no—
339C4×D4×C61—42no—
340C2×C4⋊C4×C61C2311yescharacteristic
341C2×C4⋊C4×C61C2311yescharacteristic
342C2×C4⋊C4×C61C2311yescharacteristic
343C2×C22⋊C4×C61—42no—
344C2×C22⋊C4×C61C2311yescharacteristic
345C2×C22⋊C4×C61C2311yescharacteristic
346C2×C22⋊C4×C61C2311yescharacteristic
347C2×C22⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61C2311yescharacteristic
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C42×C61C2311yescharacteristic
361C2×C42×C61C2311yescharacteristic
362C2×C42×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369C24×C61—22no—
370C24×C61—22no—
371C24×C61—41no—
372C24×C61—41no—
373C24×C61—41no—
374C24×C61—41no—
375C24×C61#4114yes—
376C24×C61C2411yescharacteristic
377C24×C61C2411yescharacteristic
378C24×C61C2411yescharacteristic
379C24×C61C2411yescharacteristic
380C23×D61—22no—
381C23×D61—22no—
382C23×D61—22no—
383C23×D61—41no—
384C23×D61—41no—
385C23×D61—41no—
386C23×D61—41no—
387C23×D61C2411yescharacteristic
388C23×D61C2411yescharacteristic
389C23×D61C2411yescharacteristic
390C2×D4×C61—22no—
391C2×D4×C61—22no—
392C2×D4×C61—22no—
393C2×D4×C61—22no—
394C2×D4×C61—22no—
395C2×D4×C61—41no—
396C2×D4×C61—41no—
397C2×D4×C61—41no—
398C2×D4×C61—41no—
399C22×C4×C61—22no—
400C22×C4×C61—22no—
401C22×C4×C61—41no—
402C22×C4×C61—41no—
403C22×C4×C61—41no—
404C22×C4×C61—41no—
405C22×C4×C61—41no—
406C22×C4×C61—41no—
407C22×C4×C61—41no—
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C22×C4×C61C2411yescharacteristic
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C2×C22⋊D61—22no—
420C2×C22⋊D61—22no—
421C2×C22⋊D61—22no—
422C2×C22⋊D61—22no—
423C2×C22⋊D61—22no—
424C2×C22⋊D61—22no—
425C2×C22⋊D61—22no—
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C2×C22⋊D61—41no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61—41no—
432C2×C22⋊D61—41no—
433C2×C22⋊D61—41no—
434C2×C22⋊D61—41no—
435C2×C22⋊D61—41no—
436C2×C22⋊D61—41no—
437C2×C22⋊D61—41no—
438C2×C22⋊D61—41no—
439C2×C22⋊D61—41no—
440C2×C22⋊D61—41no—
441C2×C22⋊D61—41no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61—41no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—416no—
450C22×Dic61—22no—
451C22×Dic61—22no—
452C22×Dic61—22no—
453C22×Dic61—22no—
454C22×Dic61—22no—
455C22×Dic61—22no—
456C22×Dic61—22no—
457C22×Dic61—22no—
458C22×Dic61—22no—
459C22×Dic61—22no—
460C22×Dic61—22no—
461C22×Dic61—41no—
462C22×Dic61—41no—
463C22×Dic61—41no—
464C22×Dic61—41no—
465C22×Dic61—41no—
466C22×Dic61—41no—
467C22×Dic61—41no—
468C22×Dic61—41no—
469C22×Dic61—41no—
470C22×Dic61—41no—
471C22×Dic61—416no—
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C2×D244—41no—
486C2×D244—41no—
487C2×D244—41no—
488C2×D244—41no—
489C2×D244—41no—
490C2×D244—41no—
491C2×C4×D61—41no—
492C2×C4×D61—41no—
493C2×C4×D61—41no—
494C2×Dic122—22no—
495C2×Dic122—41no—
496C2×Dic122—41no—
497C4⋊C4×C61—41no—
498C4⋊C4×C61—41no—
499C4⋊C4×C61—41no—
500C22⋊C4×C61—22no—
501C22⋊C4×C61—22no—
502C22⋊C4×C61—22no—
503C22⋊C4×C61—22no—
504C22⋊C4×C61—22no—
505C22⋊C4×C61—41no—
506C22⋊C4×C61—41no—
507C22⋊C4×C61—41no—
508C22⋊C4×C61—41no—
509C22⋊C4×C61—41no—
510C22⋊C4×C61—41no—
511C22⋊C4×C61—41no—
512C22⋊C4×C61—41no—
513C22⋊C4×C61—41no—
514C22⋊C4×C61—41no—
515C22⋊C4×C61—41no—
516C42×C61—41no—
517C42×C61—41no—
518C42×C61—41no—
519C22⋊Dic61—22no—
520C22⋊Dic61—22no—
521C22⋊Dic61—22no—
522C22⋊Dic61—22no—
523C22⋊Dic61—22no—
524C22⋊Dic61—22no—
525C22⋊Dic61—41no—
526C22⋊Dic61—41no—
527C22⋊Dic61—41no—
528C22⋊Dic61—41no—
529C22⋊Dic61—41no—
530C22⋊Dic61—41no—
531C22⋊Dic61—41no—
532C22⋊Dic61—41no—
533#11758198—22no—
534#11758198—22no—
535#11758198—22no—
536#11758198—22no—
537#11758198—22no—
538#11758198—41no—
539#11758198—41no—
540#11758198—41no—
541#11758198—41no—
542#11758198—41no—
543#11758198—41no—
544#11758198—41no—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548#11758198—41no—
549#11758198—41no—
550#11758198—41no—
551#11758198—41no—
552#11758198—41no—
553#11758198—41no—
554#11758198—41no—
555#11758198—41no—
556#11758198—41no—
557#11758198—41no—
558#11758198—41no—
559#11758198—41no—
560#11758198—41no—
561C4⋊Dic61—22no—
562C4⋊Dic61—41no—
563C4⋊Dic61—41no—
564C4⋊Dic61—41no—
565C4⋊Dic61—41no—
566#11758196—22no—
567#11758196—22no—
568#11758196—22no—
569#11758196—41no—
570#11758196—41no—
571#11758196—41no—
572#11758196—41no—
573#11758196—41no—
574#11758196—41no—
575#11758196—41no—
576#11758196—41no—
577#11758196—41no—
578#11758196—41no—
579#11758196—41no—
580C4×Dic61—41no—
581C4×Dic61—41no—
582C4×Dic61—41no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—28no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61—21no—
605C23×C61—21no—
606C23×C61—21no—
607C23×C61—44no—
608C23×C61—44no—
609C23×C61—44no—
610C23×C61—44no—
611C23×C61—44no—
612C23×C61—44no—
613C23×C61C2×#4112yes—
614C23×C61C2×#4112yes—
615C23×C61C2×#4112yes—
616C23×C61H(5,𝔽2)12yes—
617C23×C61H(5,𝔽2)12yes—
618C23×C61C2511yescharacteristic
619C22×D61—21no—
620C22×D61—21no—
621C22×D61—21no—
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—21no—
631C22×D61—21no—
632C22×D61—21no—
633C22×D61—21no—
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—44no—
641C22×D61—44no—
642C22×D61—44no—
643C22×D61—82no—
644C22×D61—82no—
645C22×D61—82no—
646C22×D61—82no—
647D4×C61—44no—
648D4×C61—82no—
649D4×C61—82no—
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—82no—
684C2×C4×C61—82no—
685C2×C4×C61—82no—
686C22⋊D61—44no—
687C22⋊D61—44no—
688C22⋊D61—44no—
689C22⋊D61—44no—
690C22⋊D61—44no—
691C22⋊D61—82no—
692C22⋊D61—82no—
693C22⋊D61—82no—
694C22⋊D61—82no—
695C22⋊D61—82no—
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—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—44no—
734C2×Dic61—44no—
735C2×Dic61—44no—
736C2×Dic61—44no—
737C2×Dic61—44no—
738C2×Dic61—44no—
739C2×Dic61—44no—
740C2×Dic61H(5,𝔽2)12yes—
741C2×Dic61H(5,𝔽2)12yes—
742D244—82no—
743D244—82no—
744C4×D61—82no—
745Dic122—82no—
746#36758—611nomaximal, Sylow
747C22×C61—22no—
748C22×C61—22no—
749C22×C61—22no—
750C22×C61—22no—
751C22×C61—22no—
752C22×C61—22no—
753C22×C61—22no—
754C22×C61—22no—
755C22×C61—22no—
756C22×C61—22no—
757C22×C61—22no—
758C22×C61—22no—
759C22×C61—416no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61—41no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61#53814yes—
776C22×C61C22×#4111yescharacteristic
777C22×C61C2×H(5,𝔽2)11yescharacteristic
778C22×C61C2×H(5,𝔽2)11yescharacteristic
779C22×C61C2×H(5,𝔽2)11yescharacteristic
780C22×C61C2×H(5,𝔽2)11yescharacteristic
781C22×C61#58511yescharacteristic
782C22×C61#58511yescharacteristic
783C2×D61—41no—
784C2×D61—41no—
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—88no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816Dic61—22no—
817Dic61—22no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829#2848—611no—
830#2847—611no—
831#2797—611no—
832#2781—611no—
833#2779—611no—
834#2778—611no—
835#2778—611no—
836#2756—611no—
837#2753—611no—
838#2749—611no—
839#2741—611no—
840#2730—611no—
841#2714—611no—
842#2703—611no—
843#2702—611no—
844#2696—611no—
845#2688—611no—
846#2676—611no—
847#2613—611no—
848#2613—611no—
849#2493—611no—
850#2488—611no—
851#2480—611no—
852#2472—611no—
853#2425—611no—
854#2424—611no—
855#2419—611no—
856#2418—611no—
857#2321—611no—
858#2321D6111yescharacteristic, complemented
859C2×#386—611no—
860C2×C61—24no—
861C2×C61—42no—
862C2×C61—42no—
863C2×C61—81no—
864C2×C61C2×#53811yescharacteristic
865C2×C61#350511yescharacteristic
866C2×C61#350511yescharacteristic
867C2×C61#353211yescharacteristic
868C2×C61#353311yescharacteristic
869C2×C61#354211yescharacteristic
870C2×C61#354211yescharacteristic
871D61—81no—
872D61—81no—
873D61—81no—
874C23×D4—611no—
875C24×C4—611no—
876C2×#126—611no—
877C2×#124—611no—
878C2×#123—611no—
879C2×#123—611no—
880C2×#123—611no—
881C2×C22⋊Q8—611no—
882C2×C22⋊Q8—611no—
883C2×C22⋊Q8—611no—
884C2×#121—611no—
885C2×#121—611no—
886C2×#121—611no—
887C2×#121—611no—
888C2×#120—611no—
889C2×#120—611no—
890C2×#120—611no—
891C2×#120C2×D6111yescharacteristic
892C2×C4×D4—611no—
893C2×C4×D4C2×D6111yescharacteristic
894C22×C22⋊C4—611no—
895C22×C22⋊C4—611no—
896C22×C22⋊C4C2×D6111yescharacteristic
897#401—611no—
898#400—611no—
899#400—611no—
900#400—611no—
901#400—611no—
902#400—611no—
903#400—611no—
904#399—611no—
905#398—611no—
906#398—611no—
907#397—611no—
908#397—611no—
909#397—611no—
910#397—611no—
911#397—611no—
912#397—611no—
913#397—611no—
914#397—611no—
915#397—611no—
916#396—611no—
917#396—611no—
918#396—611no—
919#394—611no—
920#394—611no—
921#394—611no—
922#394—611no—
923#394—611no—
924#394—611no—
925#394—611no—
926#394—611no—
927#394—611no—
928#394—611no—
929#394—611no—
930#394—611no—
931#394—611no—
932#394—611no—
933#394—611no—
934#393—611no—
935#393—611no—
936#392—611no—
937#392—611no—
938#392—611no—
939#392—611no—
940#392—611no—
941#392—611no—
942#392—611no—
943#392—611no—
944#392—611no—
945#391—611no—
946#390—611no—
947#390—611no—
948#390—611no—
949#390—611no—
950#390C2×D6111yescharacteristic, complemented
951#390C2×D6111yescharacteristic, complemented
952#389—611no—
953#388—611no—
954#388—611no—
955#388—611no—
956#388—611no—
957#388—611no—
958#388—611no—
959#388—611no—
960#388—611no—
961#388—611no—
962#388—611no—
963#388—611no—
964#388—611no—
965#388—611no—
966#388—611no—
967#388—611no—
968#388C2×D6111yescharacteristic, complemented
969#388C2×D6111yescharacteristic, complemented
970#388C2×D6111yescharacteristic, complemented
971#388C2×D6111yescharacteristic, complemented
972#387—611no—
973#387—611no—
974#387—611no—
975#387—611no—
976#387—611no—
977#386—611no—
978#386—611no—
979#386—611no—
980#386—611no—
981#386—611no—
982#386—611no—
983#386—611no—
984#386—611no—
985#386—611no—
986#386—611no—
987#386—611no—
988#386—611no—
989#386—611no—
990#386—611no—
991#386—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#386—611no—
997#386C2×D6111yescharacteristic
998#386C2×D6111yescharacteristic, complemented
999#386C2×D6111yescharacteristic, complemented
1000#385—611no—
1001#385—611no—
1002#385—611no—
1003#385—611no—
1004#385—611no—
1005#385—611no—
1006#385—611no—
1007#385—611no—
1008#385C2×D6111yescharacteristic
1009#383—611no—
1010#382—611no—
1011#381—611no—
1012#381—611no—
1013#381—611no—
1014#380—611no—
1015#380—611no—
1016#380—611no—
1017#380—611no—
1018#380—611no—
1019#380—611no—
1020#380—611no—
1021#379—611no—
1022#379—611no—
1023#379—611no—
1024#379C2×D6111yescharacteristic
1025C4×C22⋊C4—611no—
1026C4×C22⋊C4C2×D6111yescharacteristic
1027C2×#95—611no—
1028C2×#95—611no—
1029C61#3675811yescharacteristic, complemented, Sylow
1030C25—611no—
1031C25C22×D6111yescharacteristic
1032C22×Q8—611no—
1033C22×D4—611no—
1034C22×D4—611no—
1035C22×D4—611no—
1036C22×D4—611no—
1037C22×D4—611no—
1038C22×D4—611no—
1039C22×D4—611no—
1040C22×D4—611no—
1041C22×D4—611no—
1042C22×D4—611no—
1043C22×D4—611no—
1044C22×D4—611no—
1045C22×D4—1224no—
1046C22×D4—2442no—
1047C22×D4—2442no—
1048C22×D4C22×D6111yescharacteristic
1049C22×D4C22×D6111yescharacteristic
1050C22×D4C22×D6111yescharacteristic
1051C23×C4—611no—
1052C23×C4—611no—
1053C23×C4—611no—
1054C23×C4—611no—
1055C23×C4—611no—
1056C23×C4—611no—
1057C23×C4—611no—
1058C23×C4—611no—
1059C23×C4—2442no—
1060C23×C4—2442no—
1061C23×C4—2442no—
1062C23×C4C22×D6111yescharacteristic
1063C23×C4C22×D6111yescharacteristic
1064C23×C4C22×D6111yescharacteristic
1065#126—2442no—
1066#124—2442no—
1067#123—2442no—
1068#123—2442no—
1069#123—2442no—
1070C22⋊Q8—2442no—
1071C22⋊Q8—2442no—
1072C22⋊Q8—2442no—
1073#121—2442no—
1074#121—2442no—
1075#121—2442no—
1076#121—2442no—
1077#120—24no—
1078#120—1224no—
1079#120—2442no—
1080#120—2442no—
1081C4×D4—42no—
1082C4×D4—2442no—
1083C2×C4⋊C4—611no—
1084C2×C4⋊C4—611no—
1085C2×C4⋊C4—611no—
1086C2×C4⋊C4—611no—
1087C2×C4⋊C4—611no—
1088C2×C4⋊C4—611no—
1089C2×C4⋊C4—611no—
1090C2×C4⋊C4—611no—
1091C2×C4⋊C4—611no—
1092C2×C4⋊C4—611no—
1093C2×C4⋊C4—611no—
1094C2×C4⋊C4—611no—
1095C2×C4⋊C4—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⋊C4C22×D6111yescharacteristic
1103C2×C4⋊C4C22×D6111yescharacteristic
1104C2×C4⋊C4C22×D6111yescharacteristic
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—611no—
1121C2×C22⋊C4—611no—
1122C2×C22⋊C4—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—611no—
1125C2×C22⋊C4—611no—
1126C2×C22⋊C4—611no—
1127C2×C22⋊C4—611no—
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—611no—
1138C2×C22⋊C4—611no—
1139C2×C22⋊C4—611no—
1140C2×C22⋊C4—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—2442no—
1149C2×C22⋊C4—2442no—
1150C2×C22⋊C4C22×D6111yescharacteristic
1151C2×C22⋊C4C22×D6111yescharacteristic
1152C2×C22⋊C4C22×D6111yescharacteristic
1153C2×C22⋊C4C22×D6111yescharacteristic
1154C2×C22⋊C4C22×D6111yescharacteristic
1155C2×C22⋊C4C22×D6111yescharacteristic
1156C2×C22⋊C4C22×D6111yescharacteristic
1157C2×C22⋊C4C22×D6111yescharacteristic
1158C2×C22⋊C4C22×D6111yescharacteristic
1159C2×C22⋊C4C22×D6111yescharacteristic
1160C2×C22⋊C4C22×D6111yescharacteristic
1161C2×C22⋊C4C22×D6111yescharacteristic
1162C2×C22⋊C4C22×D6111yescharacteristic
1163C2×C22⋊C4C22×D6111yescharacteristic
1164C2×C22⋊C4C22×D6111yescharacteristic
1165C2×C22⋊C4C22×D6111yescharacteristic
1166C2×C42—611no—
1167C2×C42—611no—
1168C2×C42—611no—
1169C2×C42C22×D6111yescharacteristic
1170C2×C42C22×D6111yescharacteristic
1171C2×C42C22×D6111yescharacteristic
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95—611no—
1180#95—611no—
1181#95—611no—
1182#95—611no—
1183#95—611no—
1184#95—611no—
1185#95—611no—
1186#95—611no—
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95—611no—
1191#95—611no—
1192#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196#95—611no—
1197#95—611no—
1198#95—611no—
1199#95—611no—
1200#95—611no—
1201#95—611no—
1202#95—611no—
1203#95—611no—
1204#95—611no—
1205#95—611no—
1206#95C22×D6111yescharacteristic
1207#95C22×D6111yescharacteristic
1208#95C22×D6111yescharacteristic
1209#95C22×D6111yescharacteristic
1210#95C22×D6111yescharacteristic
1211#95C22×D6111yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—611no—
1219C24—611no—
1220C24—611no—
1221C24—1222no—
1222C24—1222no—
1223C24—1222no—
1224C24—2441no—
1225C24—2441no—
1226C24—2441no—
1227C24—2441no—
1228C24#1175822214yes—
1229C24C23×D6111yescharacteristic
1230C24C23×D6111yescharacteristic
1231C24C23×D6111yescharacteristic
1232C24C23×D6111yescharacteristic
1233C2×Q8—1222no—
1234C2×Q8—2441no—
1235C2×Q8—2441no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
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—2441no—
1256C2×D4—2441no—
1257C2×D4—2441no—
1258C2×D4—2441no—
1259C2×D4—2441no—
1260C2×D4—2441no—
1261C2×D4—2441no—
1262C2×D4—2441no—
1263C2×D4—2441no—
1264C2×D4—2441no—
1265C2×D4—2441no—
1266C2×D4—2441no—
1267C2×D4—2441no—
1268C2×D4—2441no—
1269C2×D4—2441no—
1270C2×D4—2441no—
1271C2×D4—2441no—
1272C2×D4—2441no—
1273C2×D4—2441no—
1274C2×D4—2441no—
1275C2×D4—2441no—
1276C2×D4—2441no—
1277C2×D4—2441no—
1278C2×D4—2441no—
1279C2×D4—2441no—
1280C2×D4—2441no—
1281C2×D4—24416no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—611no—
1292C22×C4—611no—
1293C22×C4—611no—
1294C22×C4—611no—
1295C22×C4—611no—
1296C22×C4—611no—
1297C22×C4—611no—
1298C22×C4—611no—
1299C22×C4—611no—
1300C22×C4—611no—
1301C22×C4—611no—
1302C22×C4—611no—
1303C22×C4—611no—
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—2441no—
1316C22×C4—2441no—
1317C22×C4—2441no—
1318C22×C4—2441no—
1319C22×C4—2441no—
1320C22×C4—2441no—
1321C22×C4—2441no—
1322C22×C4—2441no—
1323C22×C4—2441no—
1324C22×C4—2441no—
1325C22×C4—2441no—
1326C22×C4—2441no—
1327C22×C4—2441no—
1328C22×C4—24416no—
1329C22×C4C23×D6111yescharacteristic
1330C22×C4C23×D6111yescharacteristic
1331C22×C4C23×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333C22×C4C23×D6111yescharacteristic
1334C22×C4C23×D6111yescharacteristic
1335C22×C4C23×D6111yescharacteristic
1336C22×C4C23×D6111yescharacteristic
1337C22×C4C23×D6111yescharacteristic
1338C22×C4C23×D6111yescharacteristic
1339C22×C4C23×D6111yescharacteristic
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—1222no—
1344C4⋊C4—1222no—
1345C4⋊C4—1222no—
1346C4⋊C4—1222no—
1347C4⋊C4—2441no—
1348C4⋊C4—2441no—
1349C4⋊C4—2441no—
1350C4⋊C4—2441no—
1351C4⋊C4—2441no—
1352C4⋊C4—2441no—
1353C4⋊C4—2441no—
1354C4⋊C4—2441no—
1355C4⋊C4—2441no—
1356C4⋊C4—2441no—
1357C4⋊C4—2441no—
1358C4⋊C4—2441no—
1359C4⋊C4—2441no—
1360C4⋊C4—2441no—
1361C4⋊C4—2441no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—1222no—
1379C22⋊C4—1222no—
1380C22⋊C4—1222no—
1381C22⋊C4—1222no—
1382C22⋊C4—1222no—
1383C22⋊C4—1222no—
1384C22⋊C4—1222no—
1385C22⋊C4—1222no—
1386C22⋊C4—1222no—
1387C22⋊C4—1222no—
1388C22⋊C4—1222no—
1389C22⋊C4—2441no—
1390C22⋊C4—2441no—
1391C22⋊C4—2441no—
1392C22⋊C4—2441no—
1393C22⋊C4—2441no—
1394C22⋊C4—2441no—
1395C22⋊C4—2441no—
1396C22⋊C4—2441no—
1397C22⋊C4—2441no—
1398C22⋊C4—2441no—
1399C22⋊C4—2441no—
1400C22⋊C4—2441no—
1401C22⋊C4—2441no—
1402C22⋊C4—2441no—
1403C22⋊C4—2441no—
1404C22⋊C4—2441no—
1405C22⋊C4—2441no—
1406C22⋊C4—2441no—
1407C22⋊C4—2441no—
1408C22⋊C4—2441no—
1409C22⋊C4—2441no—
1410C22⋊C4—2441no—
1411C22⋊C4—2441no—
1412C22⋊C4—2441no—
1413C22⋊C4—2441no—
1414C22⋊C4—2441no—
1415C22⋊C4—2441no—
1416C22⋊C4—2441no—
1417C22⋊C4—2441no—
1418C22⋊C4—2441no—
1419C22⋊C4—2441no—
1420C42—41no—
1421C42—41no—
1422C42—41no—
1423C42—2441no—
1424C42—2441no—
1425C42—2441no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—28no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—1221no—
1457C23—1221no—
1458C23—1221no—
1459C23—1221no—
1460C23—1221no—
1461C23—1221no—
1462C23—1221no—
1463C23—1221no—
1464C23—1221no—
1465C23—1221no—
1466C23—1221no—
1467C23—1221no—
1468C23—1221no—
1469C23—1221no—
1470C23—1221no—
1471C23—1221no—
1472C23—1221no—
1473C23—1221no—
1474C23—1221no—
1475C23—1221no—
1476C23—1221no—
1477C23—4882no—
1478C23—4882no—
1479C23—4882no—
1480C23—4882no—
1481C23—2444no—
1482C23—2444no—
1483C23—2444no—
1484C23C2×#1175822212yes—
1485C23C2×#1175822212yes—
1486C23C2×#1175822212yes—
1487C23#1451982212yes—
1488C23#1451982312yes—
1489C23C24×D6111yescharacteristic
1490Q8—4882no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—4882no—
1495D4—4882no—
1496D4—4882no—
1497D4—4882no—
1498D4—4882no—
1499D4—4882no—
1500D4—4882no—
1501D4—2444no—
1502D4—2444no—
1503D4—2444no—
1504D4—2444no—
1505D4—2444no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—82no—
1540C2×C4—82no—
1541C2×C4—82no—
1542C2×C4—612no—
1543C2×C4—612no—
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—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—4882no—
1582C2×C4—2444no—
1583C2×C4—2444no—
1584C2×C4—2444no—
1585C2×C4—2444no—
1586C2×C4—2444no—
1587C2×C4—2444no—
1588C2×C4—2444no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—4888no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22—2441no—
1630C22—2441no—
1631C22—2441no—
1632C22—2441no—
1633C22—2441no—
1634C22—2441no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22#1684034514yes—
1640C22C22×#1175822211yescharacteristic
1641C22H(5,𝔽2)×D6111yescharacteristic
1642C22H(5,𝔽2)×D6111yescharacteristic
1643C22C2×#1451982211yescharacteristic
1644C22C2×#1451982311yescharacteristic
1645C22#1684059711yescharacteristic
1646C22#1684059711yescharacteristic
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—1222no—
1659C4—1222no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4—2441no—
1670C4—2441no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—81no—
1675C2—4881no—
1676C2—4881no—
1677C2—4881no—
1678C2C2×#1684034511yescharacteristic
1679C2#2145964911yescharacteristic
1680C2#2145964911yescharacteristic
1681C2#2145997011yescharacteristic
1682C2#2145998711yescharacteristic
1683C2#2146012211yescharacteristic
1684C2#2146013011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2321C2
hypercenter#2321D61
hypocenterC61#36758
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
1. #21454104C2semidirect
2. #21454099C2semidirect
3. #21453670C2semidirect
4. #21453477C2semidirect
5. #21453453C2semidirect
6. #21453437C2semidirect
7. #21453434C2semidirect
8. #21453141C2semidirect
9. #21453091C2semidirect
10. #21453037C2semidirect
11. #21452935C2semidirect
12. #21452816C2semidirect
13. #21452610C2semidirect
14. #21452463C2semidirect
15. #21452444C2semidirect
16. #21452373C2semidirect
17. #21452252C2semidirect
18. #21452117C2semidirect
19. #21451534C2semidirect
20. #21451533C2semidirect
21. #21450198C2semidirect
22. #21450147C2semidirect
23. #21450067C2semidirect
24. #21449945C2semidirect
25. #21449364C2semidirect
26. #21449357C2semidirect
27. #21449298C2semidirect
28. #21449275C2semidirect
29. #21448477C2semidirect
30. C2×#16839639C2semidirect
31. C61×#2321C2semidirect
34. C2×#14519772C22semidirect
35. C2×#14519765C22semidirect
37. C2×#14519760C22semidirect
40. C2×#14519754C22semidirect
41. C2×#14519754C22semidirect
42. C2×#14519750C22semidirect
44. C2×#14519749C22semidirect
45. C2×#14519749C22semidirect
52. C61⋊#401C22semidirect
53. #16839704C22semidirect
54. #16839704C22semidirect
55. #16839703C22semidirect
56. #16839703C22semidirect
57. #16839703C22semidirect
58. #16839703C22semidirect
59. #16839697C22semidirect
60. #16839695C22semidirect
61. #16839692C22semidirect
62. #16839691C22semidirect
63. #16839691C22semidirect
64. #16839690C22semidirect
65. #16839689C22semidirect
66. #16839689C22semidirect
67. #16839688C22semidirect
68. #16839688C22semidirect
69. #16839688C22semidirect
70. #16839687C22semidirect
71. #16839686C22semidirect
72. #16839684C22semidirect
73. #16839684C22semidirect
74. #16839680C22semidirect
75. #16839680C22semidirect
76. #16839680C22semidirect
81. #16839678C22semidirect
86. #16839677C22semidirect
87. #16839677C22semidirect
88. #16839677C22semidirect
89. #16839675C22semidirect
90. #16839674C22semidirect
95. #16839671C22semidirect
100. #16839666C22semidirect
101. #16839664C22semidirect
102. #16839662C22semidirect
103. #16839662C22semidirect
104. #16839662C22semidirect
105. #16839660C22semidirect
106. #16839656C22semidirect
107. #16839656C22semidirect
108. #16839655C22semidirect
109. #16839654C22semidirect
110. #16839653C22semidirect
111. #16839653C22semidirect
112. #16839653C22semidirect
113. #16839653C22semidirect
114. #16839653C22semidirect
115. #16839652C22semidirect
116. #16839651C22semidirect
117. #16839651C22semidirect
118. #16839650C22semidirect
119. #16839650C22semidirect
120. #16839650C22semidirect
121. #16839649C22semidirect
122. #16839648C22semidirect
123. #16839646C22semidirect
124. #16839646C22semidirect
125. #16839646C22semidirect
127. #16839642C22semidirect
128. #16839642C22semidirect
130. #16839641C22semidirect
131. #16839641C22semidirect
132. #16839640C22semidirect
142. #16839639C22semidirect
143. #16839639C22semidirect
144. #16839638C22semidirect
145. #16839638C22semidirect
147. #16839637C22semidirect
148. #16839637C22semidirect
151. #16839634C22semidirect
152. #16839634C22semidirect
153. #16839633C22semidirect
154. #16839630C22semidirect
155. #16839626C22semidirect
156. #16839624C22semidirect
159. #16839622C22semidirect
162. #16839620C22semidirect
163. #16839620C22semidirect
164. #16839620C22semidirect
165. #16839620C22semidirect
175. C61×#390C22semidirect
176. C61×#390C22semidirect
177. C61×#388C22semidirect
178. C61×#388C22semidirect
179. C61×#388C22semidirect
180. C61×#388C22semidirect
182. C61×#386C22semidirect
183. C61×#386C22semidirect
858. #2321D61semidirect
950. #390C2×D61semidirect
951. #390C2×D61semidirect
968. #388C2×D61semidirect
969. #388C2×D61semidirect
970. #388C2×D61semidirect
971. #388C2×D61semidirect
998. #386C2×D61semidirect
999. #386C2×D61semidirect
1029. C61#36758semidirect

Maximal subgroups

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

subgroupindex
#214541042
#214540992
#214536702
#214534772
#214534532
#214534372
#214534342
#214531412
#214530912
#214530372
#214529352
#214528162
#214526102
#214524632
#214524442
#214523732
#214522522
#214521172
#214515342
#214515332
#214501982
#214501472
#214500672
#214499452
#214493642
#214493572
#214492982
#214492752
#214484772
C2×#168396392
C61×#23212
#3675861