Finite Group Databasebeta

← #29887115

Subgroups — #29887115

Order 15616.

3282 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454096C211yesmaximal, characteristic, complemented
2#21452865C211yesmaximal, characteristic, complemented
3#21452860C211yesmaximal, characteristic, complemented
4#21452856C211yesmaximal, characteristic, complemented
5#21452856C211yesmaximal, characteristic, complemented
6#21452382C211yesmaximal, characteristic, complemented
7#21452380C211yesmaximal, characteristic, complemented
8#21452214C211yesmaximal, characteristic, complemented
9#21452210C211yesmaximal, characteristic, complemented
10#21452206C211yesmaximal, characteristic, complemented
11#21452206C211yesmaximal, characteristic, complemented
12#21452199C211yesmaximal, characteristic, complemented
13#21452197C211yesmaximal, characteristic, complemented
14#21452144C211yesmaximal, characteristic, complemented
15#21452140C211yesmaximal, characteristic, complemented
16#21452041C211yesmaximal, characteristic, complemented
17#21452023C211yesmaximal, characteristic, complemented
18#21451628C211yesmaximal, characteristic, complemented
19#21451557C211yesmaximal, characteristic, complemented
20#21450064C211yesmaximal, characteristic, complemented
21#21450062C211yesmaximal, characteristic, complemented
22#21449944C211yesmaximal, characteristic, complemented
23#21449942C211yesmaximal, characteristic, complemented
24#21449359C211yesmaximal, characteristic, complemented
25#21449351C211yesmaximal, characteristic, complemented
26#21449285C211yesmaximal, characteristic, complemented
27#21449277C211yesmaximal, characteristic, complemented
28#21448480C211yesmaximal, characteristic, complemented
29#21448474C211yesmaximal, characteristic, complemented
30C2×#16839618C211yesmaximal, characteristic, complemented
31C61×#2846C211yesmaximal, characteristic, complemented
32C2×#14519770C2211yescharacteristic, complemented
33C2×#14519770C2211yescharacteristic, complemented
34C2×#14519764C2211yescharacteristic, complemented
35C2×#14519763C2211yescharacteristic, complemented
36C2×#14519759C2211yescharacteristic, complemented
37C2×#14519758C2211yescharacteristic, complemented
38C2×#14519754C2211yescharacteristic, complemented
39C2×#14519749C2211yescharacteristic, complemented
40C2×#14519749C2211yescharacteristic, complemented
41C2×#14519748C2211yescharacteristic, complemented
42C2×#14519746C2211yescharacteristic
43C2×#14519746C2211yescharacteristic
44C2×#14519746C2211yescharacteristic
45C2×#14519746C2211yescharacteristic
46C2×#14519746C2211yescharacteristic
47C2×#14519746C2211yescharacteristic
48C2×#14519746C2211yescharacteristic
49C2×D4×Dic61C2211yescharacteristic, complemented
50C2×#14519737C2211yescharacteristic, complemented
51C22×C22⋊Dic61C2211yescharacteristic
52C22×C22⋊Dic61C2211yescharacteristic
53C22×C22⋊Dic61C2211yescharacteristic
54C22×C22⋊Dic61C2211yescharacteristic
55C22×C22⋊Dic61C2211yescharacteristic
56C22×C22⋊Dic61C2211yescharacteristic
57#16839698C2211yescharacteristic, complemented
58#16839698C2211yescharacteristic, complemented
59#16839698C2211yescharacteristic, complemented
60#16839698C2211yescharacteristic, complemented
61#16839690C2211yescharacteristic, complemented
62#16839690C2211yescharacteristic, complemented
63#16839690C2211yescharacteristic, complemented
64#16839690C2211yescharacteristic, complemented
65#16839690C2211yescharacteristic, complemented
66#16839690C2211yescharacteristic, complemented
67#16839690C2211yescharacteristic, complemented
68#16839690C2211yescharacteristic, complemented
69#16839687C2211yescharacteristic, complemented
70#16839687C2211yescharacteristic, complemented
71#16839687C2211yescharacteristic, complemented
72#16839687C2211yescharacteristic, complemented
73#16839685C2211yescharacteristic, complemented
74#16839685C2211yescharacteristic, complemented
75#16839685C2211yescharacteristic, complemented
76#16839685C2211yescharacteristic, complemented
77#16839685C2211yescharacteristic, complemented
78#16839685C2211yescharacteristic, complemented
79#16839685C2211yescharacteristic, complemented
80#16839685C2211yescharacteristic, complemented
81#16839678C2211yescharacteristic, complemented
82#16839678C2211yescharacteristic, complemented
83#16839678C2211yescharacteristic, complemented
84#16839678C2211yescharacteristic, complemented
85#16839677C2211yescharacteristic, complemented
86#16839677C2211yescharacteristic, complemented
87#16839677C2211yescharacteristic, complemented
88#16839677C2211yescharacteristic, complemented
89#16839676C2211yescharacteristic, complemented
90#16839676C2211yescharacteristic, complemented
91#16839676C2211yescharacteristic, complemented
92#16839676C2211yescharacteristic, complemented
93#16839676C2211yescharacteristic, complemented
94#16839676C2211yescharacteristic, complemented
95#16839676C2211yescharacteristic, complemented
96#16839676C2211yescharacteristic, complemented
97#16839674C2211yescharacteristic, complemented
98#16839674C2211yescharacteristic, complemented
99#16839674C2211yescharacteristic, complemented
100#16839674C2211yescharacteristic, complemented
101#16839670C2211yescharacteristic, complemented
102#16839670C2211yescharacteristic, complemented
103#16839670C2211yescharacteristic, complemented
104#16839670C2211yescharacteristic, complemented
105#16839665C2211yescharacteristic, complemented
106#16839665C2211yescharacteristic, complemented
107#16839665C2211yescharacteristic, complemented
108#16839665C2211yescharacteristic, complemented
109#16839662C2211yescharacteristic, complemented
110#16839662C2211yescharacteristic, complemented
111#16839662C2211yescharacteristic, complemented
112#16839662C2211yescharacteristic, complemented
113#16839656C2211yescharacteristic, complemented
114#16839656C2211yescharacteristic, complemented
115#16839656C2211yescharacteristic, complemented
116#16839656C2211yescharacteristic, complemented
117#16839656C2211yescharacteristic, complemented
118#16839656C2211yescharacteristic, complemented
119#16839656C2211yescharacteristic, complemented
120#16839656C2211yescharacteristic, complemented
121#16839655C2211yescharacteristic, complemented
122#16839655C2211yescharacteristic, complemented
123#16839655C2211yescharacteristic, complemented
124#16839655C2211yescharacteristic, complemented
125#16839655C2211yescharacteristic, complemented
126#16839655C2211yescharacteristic, complemented
127#16839655C2211yescharacteristic, complemented
128#16839655C2211yescharacteristic, complemented
129#16839650C2211yescharacteristic, complemented
130#16839650C2211yescharacteristic, complemented
131#16839650C2211yescharacteristic, complemented
132#16839650C2211yescharacteristic, complemented
133#16839650C2211yescharacteristic, complemented
134#16839650C2211yescharacteristic, complemented
135#16839650C2211yescharacteristic, complemented
136#16839650C2211yescharacteristic, complemented
137#16839642C2211yescharacteristic, complemented
138#16839642C2211yescharacteristic, complemented
139#16839642C2211yescharacteristic, complemented
140#16839642C2211yescharacteristic, complemented
141#16839642C2211yescharacteristic, complemented
142#16839642C2211yescharacteristic, complemented
143#16839639C2211yescharacteristic, complemented
144#16839639C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839638C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic, complemented
149#16839637C2211yescharacteristic, complemented
150#16839637C2211yescharacteristic, complemented
151#16839634C2211yescharacteristic, complemented
152#16839634C2211yescharacteristic, complemented
153#16839620C2211yescharacteristic, complemented
154#16839620C2211yescharacteristic, complemented
155#16839618C2211yescharacteristic
156#16839618C2211yescharacteristic
157#16839618C2211yescharacteristic
158#16839618C2211yescharacteristic
159#16839618C2211yescharacteristic
160#16839618C2211yescharacteristic
161#16839618C2211yescharacteristic
162#16839618C2211yescharacteristic
163#16839618C2211yescharacteristic
164#16839618C2211yescharacteristic
165#16839618C2211yescharacteristic
166#16839618C2211yescharacteristic
167#16839618C2211yescharacteristic
168#16839618C2211yescharacteristic
169#16839618C2211yescharacteristic
170C22⋊C4×Dic61C2211yescharacteristic, complemented
171C22⋊C4×Dic61C2211yescharacteristic, complemented
172C26×C61C2211yescharacteristic
173C2×#120×C61C2211yescharacteristic
174C2×#120×C61C2211yescharacteristic
175C2×#120×C61C2211yescharacteristic
176C2×#120×C61C2211yescharacteristic
177C2×#120×C61C2211yescharacteristic
178C2×#120×C61C2211yescharacteristic
179C2×#120×C61C2211yescharacteristic
180C61×#379C2211yescharacteristic
181C61×#379C2211yescharacteristic
182C61×#379C2211yescharacteristic
183C61×#379C2211yescharacteristic
184C61×#379C2211yescharacteristic
185C61×#379C2211yescharacteristic
186C61×#379C2211yescharacteristic
187C22×Dic122C2311yescharacteristic, complemented
188C22×C22⋊D61C2311yescharacteristic
189C22×C22⋊D61C2311yescharacteristic
190C22×C22⋊D61C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic, complemented
196C23×Dic61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic, complemented
201C22×C4×D61C2311yescharacteristic, complemented
202#14519770—42no—
203#14519770—42no—
204#14519764—42no—
205#14519763—42no—
206#14519759—42no—
207#14519758—42no—
208#14519754—42no—
209#14519749—42no—
210#14519749—42no—
211#14519748—42no—
212#14519746—24no—
213#14519746—42no—
214#14519746—42no—
215#14519746—42no—
216#14519746—42no—
217#14519746—42no—
218#14519746—42no—
219D4×Dic61—42no—
220#14519737—42no—
221C2×C4⋊Dic61C2311yescharacteristic, complemented
222C2×C4⋊Dic61C2311yescharacteristic, complemented
223C2×C4⋊Dic61C2311yescharacteristic, complemented
224C2×C4⋊Dic61C2311yescharacteristic, complemented
225C2×C4⋊Dic61C2311yescharacteristic, complemented
226C2×C4⋊Dic61C2311yescharacteristic, complemented
227C2×#11758196C2311yescharacteristic, complemented
228C2×#11758196C2311yescharacteristic, complemented
229C2×#11758196C2311yescharacteristic, complemented
230C2×#11758196C2311yescharacteristic, complemented
231C2×#11758196C2311yescharacteristic, complemented
232C2×#11758196C2311yescharacteristic, complemented
233C2×#11758196C2311yescharacteristic, complemented
234C2×#11758196C2311yescharacteristic, complemented
235C2×#11758196C2311yescharacteristic, complemented
236C2×#11758196C2311yescharacteristic, complemented
237C2×#11758196C2311yescharacteristic, complemented
238C2×#11758196C2311yescharacteristic, complemented
239C2×C22⋊Dic61—42no—
240C2×C22⋊Dic61—42no—
241C2×C22⋊Dic61—42no—
242C2×C22⋊Dic61—42no—
243C2×C22⋊Dic61—42no—
244C2×C22⋊Dic61—42no—
245C2×C22⋊Dic61C2311yescharacteristic
246C2×C22⋊Dic61C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic, complemented
291C2×C22⋊Dic61C2311yescharacteristic, complemented
292C2×C22⋊Dic61C2311yescharacteristic, complemented
293C2×C22⋊Dic61C2311yescharacteristic, complemented
294C2×C22⋊Dic61C2311yescharacteristic, complemented
295C2×C22⋊Dic61C2311yescharacteristic, complemented
296C2×#11758198C2311yescharacteristic, complemented
297C2×#11758198C2311yescharacteristic, complemented
298C2×#11758198C2311yescharacteristic, complemented
299C2×#11758198C2311yescharacteristic, complemented
300C2×#11758198C2311yescharacteristic, complemented
301C2×#11758198C2311yescharacteristic, complemented
302C2×C4×Dic61C2311yescharacteristic, complemented
303C2×C4×Dic61C2311yescharacteristic, complemented
304C2×C4×Dic61C2311yescharacteristic, complemented
305C2×C4×Dic61C2311yescharacteristic, complemented
306C2×C4×Dic61C2311yescharacteristic, complemented
307C2×C4×Dic61C2311yescharacteristic, complemented
308#14519684C2311yescharacteristic, complemented
309#14519684C2311yescharacteristic, complemented
310#14519684C2311yescharacteristic, complemented
311#14519684C2311yescharacteristic, complemented
312#14519684C2311yescharacteristic, complemented
313#14519684C2311yescharacteristic, complemented
314#14519684C2311yescharacteristic, complemented
315#14519684C2311yescharacteristic, complemented
316#14519684C2311yescharacteristic, complemented
317#14519684C2311yescharacteristic, complemented
318#14519684C2311yescharacteristic, complemented
319#14519684C2311yescharacteristic, complemented
320#14519684C2311yescharacteristic, complemented
321#14519684C2311yescharacteristic, complemented
322#14519684C2311yescharacteristic, complemented
323#14519684C2311yescharacteristic, complemented
324#14519684C2311yescharacteristic, complemented
325#14519684C2311yescharacteristic, complemented
326#14519684C2311yescharacteristic, complemented
327#14519684C2311yescharacteristic, complemented
328#14519684C2311yescharacteristic, complemented
329#14519684C2311yescharacteristic, complemented
330#14519684C2311yescharacteristic, complemented
331#14519684C2311yescharacteristic, complemented
332C25×C61—24no—
333C25×C61—42no—
334C25×C61—42no—
335C25×C61—42no—
336C25×C61—42no—
337C25×C61—42no—
338C25×C61—42no—
339C25×C61C2311yescharacteristic
340C25×C61C2311yescharacteristic
341C25×C61C2311yescharacteristic
342C25×C61C2311yescharacteristic
343C25×C61C2311yescharacteristic
344C25×C61C2311yescharacteristic
345C25×C61C2311yescharacteristic
346C22×D4×C61C2311yescharacteristic
347C22×D4×C61C2311yescharacteristic
348C22×D4×C61C2311yescharacteristic
349C22×D4×C61C2311yescharacteristic
350C22×D4×C61C2311yescharacteristic
351C22×D4×C61C2311yescharacteristic
352C22×D4×C61C2311yescharacteristic
353#120×C61—24no—
354#120×C61—42no—
355#120×C61—42no—
356#120×C61—42no—
357#120×C61—42no—
358#120×C61—42no—
359#120×C61—42no—
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×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C24×C61—22no—
382C24×C61—22no—
383C24×C61—22no—
384C24×C61—22no—
385C24×C61—22no—
386C24×C61—22no—
387C24×C61—22no—
388C24×C61—22no—
389C24×C61—22no—
390C24×C61—22no—
391C24×C61—22no—
392C24×C61—22no—
393C24×C61—22no—
394C24×C61—22no—
395C24×C61—22no—
396C24×C61—22no—
397C24×C61—22no—
398C24×C61—22no—
399C24×C61—22no—
400C24×C61—22no—
401C24×C61—22no—
402C24×C61—22no—
403C24×C61—22no—
404C24×C61—22no—
405C24×C61—41no—
406C24×C61—41no—
407C24×C61—41no—
408C24×C61—41no—
409C24×C61—41no—
410C24×C61—41no—
411C24×C61—41no—
412C24×C61—41no—
413C24×C61—41no—
414C24×C61—41no—
415C24×C61—41no—
416C24×C61—41no—
417C24×C61—41no—
418C24×C61—41no—
419C24×C61—41no—
420C24×C61—41no—
421C24×C61—41no—
422C24×C61—41no—
423C24×C61—41no—
424C24×C61—41no—
425C24×C61—41no—
426C24×C61—41no—
427C24×C61—41no—
428C24×C61—41no—
429C24×C61—416no—
430C24×C61—416no—
431C24×C61—416no—
432C24×C61—416no—
433C24×C61—416no—
434C24×C61—416no—
435C24×C61—416no—
436C24×C61#4114yes—
437C24×C61C2411yescharacteristic
438C24×C61C2411yescharacteristic
439C24×C61C2411yescharacteristic
440C24×C61C2411yescharacteristic
441C24×C61C2411yescharacteristic
442C24×C61C2411yescharacteristic
443C24×C61C2411yescharacteristic
444C24×C61C2411yescharacteristic
445C23×D61C2411yescharacteristic
446C2×D4×C61—22no—
447C2×D4×C61—22no—
448C2×D4×C61—22no—
449C2×D4×C61—22no—
450C2×D4×C61—22no—
451C2×D4×C61—22no—
452C2×D4×C61—22no—
453C2×D4×C61—22no—
454C2×D4×C61—22no—
455C2×D4×C61—41no—
456C2×D4×C61—41no—
457C2×D4×C61—41no—
458C2×D4×C61—41no—
459C2×D4×C61—41no—
460C2×D4×C61—41no—
461C2×D4×C61—41no—
462C2×D4×C61—41no—
463C2×D4×C61—41no—
464C2×D4×C61—41no—
465C2×D4×C61—41no—
466C2×D4×C61—41no—
467C22×C4×C61C2411yescharacteristic
468C22×C4×C61C2411yescharacteristic
469C22×C4×C61C2411yescharacteristic
470C22×C4×C61C2411yescharacteristic
471C22×C4×C61C2411yescharacteristic
472C22×C4×C61C2411yescharacteristic
473C22×C4×C61C2411yescharacteristic
474C2×C22⋊D61—22no—
475C2×C22⋊D61—22no—
476C2×C22⋊D61—22no—
477C2×C22⋊D61—22no—
478C2×C22⋊D61—22no—
479C2×C22⋊D61—22no—
480C2×C22⋊D61—22no—
481C2×C22⋊D61—22no—
482C2×C22⋊D61—22no—
483C2×C22⋊D61—41no—
484C2×C22⋊D61—41no—
485C2×C22⋊D61—41no—
486C2×C22⋊D61—41no—
487C2×C22⋊D61—41no—
488C2×C22⋊D61—41no—
489C2×C22⋊D61—41no—
490C2×C22⋊D61—41no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61—41no—
494C2×C22⋊D61—41no—
495C2×C22⋊D61—41no—
496C2×C22⋊D61—41no—
497C2×C22⋊D61—41no—
498C22×Dic61—22no—
499C22×Dic61—22no—
500C22×Dic61—22no—
501C22×Dic61—22no—
502C22×Dic61—41no—
503C22×Dic61—41no—
504C22×Dic61—41no—
505C22×Dic61—41no—
506C22×Dic61—41no—
507C22×Dic61—41no—
508C22×Dic61—41no—
509C22×Dic61—41no—
510C22×Dic61—41no—
511C22×Dic61—41no—
512C22×Dic61—41no—
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C22×Dic61C2411yescharacteristic
516C22×Dic61C2411yescharacteristic
517C22×Dic61C2411yescharacteristic
518C22×Dic61C2411yescharacteristic
519C22×Dic61C2411yescharacteristic
520C22×Dic61C2411yescharacteristic
521C22×Dic61C2411yescharacteristic
522C22×Dic61C2411yescharacteristic
523C22×Dic61C2411yescharacteristic
524C22×Dic61C2411yescharacteristic
525C22×Dic61C2411yescharacteristic
526C22×Dic61C2411yescharacteristic
527C22×Dic61C2411yescharacteristic
528C2×C4×D61—41no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×Dic122—41no—
532C2×Dic122—41no—
533C2×Dic122—41no—
534C22⋊C4×C61—22no—
535C22⋊C4×C61—22no—
536C22⋊C4×C61—22no—
537C22⋊C4×C61—22no—
538C22⋊C4×C61—22no—
539C22⋊C4×C61—22no—
540C22⋊C4×C61—22no—
541C22⋊C4×C61—22no—
542C22⋊C4×C61—22no—
543C22⋊C4×C61—41no—
544C22⋊C4×C61—41no—
545C22⋊C4×C61—41no—
546C22⋊C4×C61—41no—
547C22⋊C4×C61—41no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C22⋊C4×C61—41no—
553C22⋊C4×C61—41no—
554C22⋊C4×C61—41no—
555C22⋊Dic61—22no—
556C22⋊Dic61—22no—
557C22⋊Dic61—22no—
558C22⋊Dic61—22no—
559C22⋊Dic61—22no—
560C22⋊Dic61—22no—
561C22⋊Dic61—22no—
562C22⋊Dic61—22no—
563C22⋊Dic61—22no—
564C22⋊Dic61—22no—
565C22⋊Dic61—22no—
566C22⋊Dic61—22no—
567C22⋊Dic61—22no—
568C22⋊Dic61—22no—
569C22⋊Dic61—22no—
570C22⋊Dic61—22no—
571C22⋊Dic61—22no—
572C22⋊Dic61—41no—
573C22⋊Dic61—41no—
574C22⋊Dic61—41no—
575C22⋊Dic61—41no—
576C22⋊Dic61—41no—
577C22⋊Dic61—41no—
578C22⋊Dic61—41no—
579C22⋊Dic61—41no—
580C22⋊Dic61—41no—
581C22⋊Dic61—41no—
582C22⋊Dic61—41no—
583C22⋊Dic61—41no—
584C22⋊Dic61—41no—
585C22⋊Dic61—41no—
586C22⋊Dic61—41no—
587C22⋊Dic61—41no—
588C22⋊Dic61—41no—
589C22⋊Dic61—41no—
590C22⋊Dic61—41no—
591C22⋊Dic61—41no—
592C22⋊Dic61—41no—
593C22⋊Dic61—41no—
594C22⋊Dic61—41no—
595C22⋊Dic61—41no—
596C22⋊Dic61—41no—
597C22⋊Dic61—41no—
598C22⋊Dic61—41no—
599C22⋊Dic61—41no—
600C22⋊Dic61—41no—
601C22⋊Dic61—41no—
602C22⋊Dic61—41no—
603C22⋊Dic61—41no—
604C22⋊Dic61—41no—
605C22⋊Dic61—41no—
606#11758198—41no—
607#11758198—41no—
608#11758198—41no—
609#11758198—41no—
610#11758198—41no—
611#11758198—41no—
612C4⋊Dic61—41no—
613C4⋊Dic61—41no—
614C4⋊Dic61—41no—
615C4⋊Dic61—41no—
616C4⋊Dic61—41no—
617C4⋊Dic61—41no—
618#11758196—41no—
619#11758196—41no—
620#11758196—41no—
621#11758196—41no—
622#11758196—41no—
623#11758196—41no—
624#11758196—41no—
625#11758196—41no—
626#11758196—41no—
627#11758196—41no—
628#11758196—41no—
629#11758196—41no—
630C4×Dic61—41no—
631C4×Dic61—41no—
632C4×Dic61—41no—
633C4×Dic61—41no—
634C4×Dic61—41no—
635C4×Dic61—41no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—28no—
641C23×C61—28no—
642C23×C61—28no—
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—21no—
653C23×C61—21no—
654C23×C61—21no—
655C23×C61—21no—
656C23×C61—21no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61—21no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61—21no—
668C23×C61—21no—
669C23×C61—21no—
670C23×C61—21no—
671C23×C61—21no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—21no—
679C23×C61—21no—
680C23×C61—21no—
681C23×C61—21no—
682C23×C61—21no—
683C23×C61—21no—
684C23×C61—21no—
685C23×C61—21no—
686C23×C61—44no—
687C23×C61—44no—
688C23×C61—44no—
689C23×C61—44no—
690C23×C61—44no—
691C23×C61—44no—
692C23×C61—44no—
693C23×C61—44no—
694C23×C61—44no—
695C23×C61—44no—
696C23×C61—44no—
697C23×C61—44no—
698C23×C61—44no—
699C23×C61—44no—
700C23×C61—44no—
701C23×C61—44no—
702C23×C61—44no—
703C23×C61—44no—
704C23×C61—44no—
705C23×C61—44no—
706C23×C61—44no—
707C23×C61—44no—
708C23×C61—44no—
709C23×C61—44no—
710C23×C61—44no—
711C23×C61—44no—
712C23×C61—44no—
713C23×C61—44no—
714C23×C61—44no—
715C23×C61—44no—
716C23×C61—44no—
717C23×C61—44no—
718C23×C61—44no—
719C23×C61—44no—
720C23×C61—44no—
721C23×C61—44no—
722C23×C61—44no—
723C23×C61—44no—
724C23×C61—44no—
725C23×C61—44no—
726C23×C61—4128no—
727C23×C61—44no—
728C23×C61—44no—
729C23×C61—44no—
730C23×C61—44no—
731C23×C61—44no—
732C23×C61—44no—
733C23×C61C2×#4112yes—
734C23×C61C2×#4112yes—
735C23×C61C2×#4112yes—
736C23×C61H(5,𝔽2)12yes—
737C23×C61H(5,𝔽2)12yes—
738C23×C61H(5,𝔽2)12yes—
739C23×C61H(5,𝔽2)12yes—
740C23×C61H(5,𝔽2)12yes—
741C23×C61H(5,𝔽2)12yes—
742C23×C61C2511yescharacteristic
743C22×D61—21no—
744C22×D61—21no—
745C22×D61—21no—
746C22×D61—21no—
747C22×D61—21no—
748C22×D61—21no—
749C22×D61—21no—
750D4×C61—44no—
751D4×C61—82no—
752D4×C61—82no—
753D4×C61—82no—
754D4×C61—82no—
755D4×C61—82no—
756D4×C61—82no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C22⋊D61—44no—
779C22⋊D61—82no—
780C22⋊D61—82no—
781C22⋊D61—82no—
782C22⋊D61—82no—
783C22⋊D61—82no—
784C22⋊D61—82no—
785C22⋊D61—82no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—21no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—21no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—21no—
820C2×Dic61—21no—
821C2×Dic61—21no—
822C2×Dic61—21no—
823C2×Dic61—21no—
824C2×Dic61—21no—
825C2×Dic61—21no—
826C2×Dic61—21no—
827C2×Dic61—21no—
828C2×Dic61—21no—
829C2×Dic61—21no—
830C2×Dic61—21no—
831C2×Dic61—82no—
832C2×Dic61—82no—
833C2×Dic61—82no—
834C2×Dic61—82no—
835C2×Dic61—82no—
836C4×D61—82no—
837Dic122—82no—
838#36725—611nomaximal, Sylow
839C22×C61—22no—
840C22×C61—22no—
841C22×C61—22no—
842C22×C61—22no—
843C22×C61—22no—
844C22×C61—22no—
845C22×C61—22no—
846C22×C61—22no—
847C22×C61—22no—
848C22×C61—22no—
849C22×C61—22no—
850C22×C61—22no—
851C22×C61—22no—
852C22×C61—22no—
853C22×C61—22no—
854C22×C61—22no—
855C22×C61—22no—
856C22×C61—22no—
857C22×C61—22no—
858C22×C61—22no—
859C22×C61—22no—
860C22×C61—22no—
861C22×C61—22no—
862C22×C61—22no—
863C22×C61—416no—
864C22×C61—416no—
865C22×C61—416no—
866C22×C61—416no—
867C22×C61—416no—
868C22×C61—416no—
869C22×C61—416no—
870C22×C61—41no—
871C22×C61—41no—
872C22×C61—41no—
873C22×C61—41no—
874C22×C61—41no—
875C22×C61—41no—
876C22×C61—41no—
877C22×C61—41no—
878C22×C61—41no—
879C22×C61—41no—
880C22×C61—41no—
881C22×C61—41no—
882C22×C61—41no—
883C22×C61—41no—
884C22×C61—41no—
885C22×C61—41no—
886C22×C61—41no—
887C22×C61—41no—
888C22×C61—41no—
889C22×C61—41no—
890C22×C61—41no—
891C22×C61—41no—
892C22×C61—41no—
893C22×C61—41no—
894C22×C61—41no—
895C22×C61—41no—
896C22×C61—41no—
897C22×C61—41no—
898C22×C61—41no—
899C22×C61—41no—
900C22×C61—41no—
901C22×C61#53814yes—
902C22×C61C22×#4111yescharacteristic
903C22×C61C2×H(5,𝔽2)11yescharacteristic
904C22×C61C2×H(5,𝔽2)11yescharacteristic
905C22×C61C2×H(5,𝔽2)11yescharacteristic
906C22×C61C2×H(5,𝔽2)11yescharacteristic
907C22×C61C2×H(5,𝔽2)11yescharacteristic
908C22×C61C2×H(5,𝔽2)11yescharacteristic
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—41no—
912C2×D61—41no—
913C2×D61—41no—
914C2×D61—41no—
915C2×D61—41no—
916C4×C61—41no—
917C4×C61—41no—
918C4×C61—41no—
919C4×C61—41no—
920C4×C61—41no—
921C4×C61—41no—
922C4×C61—41no—
923Dic61—41no—
924Dic61—41no—
925Dic61—41no—
926Dic61—41no—
927Dic61—41no—
928Dic61—41no—
929Dic61—41no—
930Dic61—41no—
931Dic61—41no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935Dic61—41no—
936Dic61—41no—
937Dic61—41no—
938#2846—611no—
939#2846D6111yescharacteristic, complemented
940#2736—611no—
941#2735—611no—
942#2735—611no—
943#2735—611no—
944#2697—611no—
945#2697—611no—
946#2685—611no—
947#2685—611no—
948#2685—611no—
949#2685—611no—
950#2684—611no—
951#2684—611no—
952#2678—611no—
953#2678—611no—
954#2670—611no—
955#2668—611no—
956#2626—611no—
957#2617—611no—
958#2480—611no—
959#2480—611no—
960#2472—611no—
961#2472—611no—
962#2424—611no—
963#2424—611no—
964#2418—611no—
965#2418—611no—
966#2321—611no—
967#2321—611no—
968C2×#379—611no—
969C2×C61—24no—
970C2×C61—42no—
971C2×C61—42no—
972C2×C61—42no—
973C2×C61—42no—
974C2×C61—42no—
975C2×C61—42no—
976C2×C61—81no—
977C2×C61C2×#53811yescharacteristic
978C2×C61#349011yescharacteristic
979C2×C61#349011yescharacteristic
980C2×C61#353211yescharacteristic
981C2×C61#353211yescharacteristic
982C2×C61#353211yescharacteristic
983C2×C61#353211yescharacteristic
984D61—81no—
985C26C2×D6111yescharacteristic
986C2×#126—611no—
987C2×#126—611no—
988C2×#124—611no—
989C2×#124—611no—
990C2×#123—611no—
991C2×#123—611no—
992C2×C22⋊Q8—611no—
993C2×#121—611no—
994C2×#121—611no—
995C2×#121—611no—
996C2×#120—611no—
997C2×#120—611no—
998C2×#120—611no—
999C2×#120—611no—
1000C2×#120—611no—
1001C2×#120—611no—
1002C2×#120—611no—
1003C2×#120C2×D6111yescharacteristic
1004C2×#120C2×D6111yescharacteristic
1005C2×#120C2×D6111yescharacteristic
1006C2×#120C2×D6111yescharacteristic
1007C2×#120C2×D6111yescharacteristic
1008C2×#120C2×D6111yescharacteristic
1009C2×#120C2×D6111yescharacteristic
1010C2×C4×D4—611no—
1011C2×C4×D4—611no—
1012C22×C22⋊C4—611no—
1013C22×C22⋊C4—611no—
1014C22×C22⋊C4—611no—
1015C22×C22⋊C4—611no—
1016C22×C22⋊C4—611no—
1017C22×C22⋊C4—611no—
1018#399—611no—
1019#399—611no—
1020#399—611no—
1021#399—611no—
1022#397—611no—
1023#397—611no—
1024#397—611no—
1025#397—611no—
1026#397—611no—
1027#397—611no—
1028#397—611no—
1029#397—611no—
1030#397—611no—
1031#397—611no—
1032#397—611no—
1033#397—611no—
1034#396—611no—
1035#396—611no—
1036#396—611no—
1037#396—611no—
1038#396—611no—
1039#396—611no—
1040#396—611no—
1041#396—611no—
1042#394—611no—
1043#394—611no—
1044#394—611no—
1045#394—611no—
1046#394—611no—
1047#394—611no—
1048#394—611no—
1049#394—611no—
1050#394—611no—
1051#394—611no—
1052#394—611no—
1053#394—611no—
1054#394—611no—
1055#394—611no—
1056#394—611no—
1057#394—611no—
1058#393—611no—
1059#393—611no—
1060#393—611no—
1061#393—611no—
1062#392—611no—
1063#392—611no—
1064#392—611no—
1065#392—611no—
1066#390—611no—
1067#390—611no—
1068#390—611no—
1069#390—611no—
1070#390—611no—
1071#390—611no—
1072#390—611no—
1073#390—611no—
1074#388—611no—
1075#388—611no—
1076#388—611no—
1077#388—611no—
1078#388—611no—
1079#388—611no—
1080#388—611no—
1081#388—611no—
1082#388—611no—
1083#388—611no—
1084#388—611no—
1085#388—611no—
1086#388—611no—
1087#388—611no—
1088#388—611no—
1089#388—611no—
1090#388—611no—
1091#388—611no—
1092#388—611no—
1093#388—611no—
1094#388—611no—
1095#388—611no—
1096#388—611no—
1097#388—611no—
1098#386—611no—
1099#386—611no—
1100#386—611no—
1101#386—611no—
1102#386—611no—
1103#386—611no—
1104#386—611no—
1105#386—611no—
1106#386—611no—
1107#386—611no—
1108#386—611no—
1109#386—611no—
1110#385—611no—
1111#385—611no—
1112#385—611no—
1113#385—611no—
1114#380—611no—
1115#380—611no—
1116#379—611no—
1117#379—611no—
1118#379—611no—
1119#379—611no—
1120#379—611no—
1121#379—611no—
1122#379—611no—
1123#379—611no—
1124#379—611no—
1125#379—611no—
1126#379—611no—
1127#379—611no—
1128#379—611no—
1129#379—611no—
1130#379—611no—
1131#379C2×D6111yescharacteristic
1132#379C2×D6111yescharacteristic
1133#379C2×D6111yescharacteristic
1134#379C2×D6111yescharacteristic
1135#379C2×D6111yescharacteristic
1136#379C2×D6111yescharacteristic
1137#379C2×D6111yescharacteristic
1138C4×C22⋊C4—611no—
1139C4×C22⋊C4—611no—
1140C61#3672511yescharacteristic, complemented, Sylow
1141C25—24no—
1142C25—42no—
1143C25—42no—
1144C25—42no—
1145C25—42no—
1146C25—42no—
1147C25—42no—
1148C25C22×D6111yescharacteristic
1149C25C22×D6111yescharacteristic
1150C25C22×D6111yescharacteristic
1151C25C22×D6111yescharacteristic
1152C25C22×D6111yescharacteristic
1153C25C22×D6111yescharacteristic
1154C25C22×D6111yescharacteristic
1155C22×Q8—611no—
1156C22×D4—611no—
1157C22×D4—611no—
1158C22×D4—611no—
1159C22×D4—611no—
1160C22×D4—611no—
1161C22×D4—611no—
1162C22×D4—611no—
1163C22×D4—611no—
1164C22×D4C22×D6111yescharacteristic
1165C22×D4C22×D6111yescharacteristic
1166C22×D4C22×D6111yescharacteristic
1167C22×D4C22×D6111yescharacteristic
1168C22×D4C22×D6111yescharacteristic
1169C22×D4C22×D6111yescharacteristic
1170C22×D4C22×D6111yescharacteristic
1171C23×C4—611no—
1172C23×C4—611no—
1173C23×C4—611no—
1174C23×C4—611no—
1175C23×C4—611no—
1176C23×C4—611no—
1177#126—2442no—
1178#126—2442no—
1179#124—2442no—
1180#124—2442no—
1181#123—2442no—
1182#123—2442no—
1183C22⋊Q8—2442no—
1184#121—2442no—
1185#121—2442no—
1186#121—2442no—
1187#120—24no—
1188#120—42no—
1189#120—42no—
1190#120—42no—
1191#120—42no—
1192#120—42no—
1193#120—42no—
1194#120—1224no—
1195#120—2442no—
1196#120—2442no—
1197#120—2442no—
1198#120—2442no—
1199#120—2442no—
1200#120—2442no—
1201C4×D4—2442no—
1202C4×D4—2442no—
1203C2×C4⋊C4—611no—
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—611no—
1206C2×C4⋊C4—611no—
1207C2×C4⋊C4—611no—
1208C2×C4⋊C4—611no—
1209C2×C4⋊C4—611no—
1210C2×C4⋊C4—611no—
1211C2×C4⋊C4—611no—
1212C2×C4⋊C4—611no—
1213C2×C4⋊C4—611no—
1214C2×C4⋊C4—611no—
1215C2×C4⋊C4—611no—
1216C2×C4⋊C4—611no—
1217C2×C4⋊C4—611no—
1218C2×C4⋊C4—611no—
1219C2×C4⋊C4—611no—
1220C2×C4⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—611no—
1243C2×C22⋊C4—611no—
1244C2×C22⋊C4—611no—
1245C2×C22⋊C4—611no—
1246C2×C22⋊C4—611no—
1247C2×C22⋊C4—611no—
1248C2×C22⋊C4—611no—
1249C2×C22⋊C4—611no—
1250C2×C22⋊C4—611no—
1251C2×C22⋊C4—611no—
1252C2×C22⋊C4—611no—
1253C2×C22⋊C4—611no—
1254C2×C22⋊C4—611no—
1255C2×C22⋊C4—611no—
1256C2×C22⋊C4—611no—
1257C2×C22⋊C4—611no—
1258C2×C22⋊C4—611no—
1259C2×C22⋊C4—611no—
1260C2×C22⋊C4—611no—
1261C2×C22⋊C4—611no—
1262C2×C22⋊C4—611no—
1263C2×C22⋊C4—611no—
1264C2×C22⋊C4—611no—
1265C2×C22⋊C4—611no—
1266C2×C22⋊C4—611no—
1267C2×C22⋊C4—611no—
1268C2×C22⋊C4—611no—
1269C2×C22⋊C4—611no—
1270C2×C22⋊C4—611no—
1271C2×C22⋊C4—611no—
1272C2×C22⋊C4—611no—
1273C2×C22⋊C4—611no—
1274C2×C22⋊C4—611no—
1275C2×C22⋊C4—611no—
1276C2×C22⋊C4—611no—
1277C2×C22⋊C4—611no—
1278C2×C22⋊C4—2442no—
1279C2×C22⋊C4—2442no—
1280C2×C22⋊C4—2442no—
1281C2×C22⋊C4—2442no—
1282C2×C22⋊C4—2442no—
1283C2×C22⋊C4—2442no—
1284C2×C22⋊C4C22×D6111yescharacteristic
1285C2×C22⋊C4C22×D6111yescharacteristic
1286C2×C22⋊C4C22×D6111yescharacteristic
1287C2×C22⋊C4C22×D6111yescharacteristic
1288C2×C22⋊C4C22×D6111yescharacteristic
1289C2×C22⋊C4C22×D6111yescharacteristic
1290C2×C22⋊C4C22×D6111yescharacteristic
1291C2×C22⋊C4C22×D6111yescharacteristic
1292C2×C22⋊C4C22×D6111yescharacteristic
1293C2×C22⋊C4C22×D6111yescharacteristic
1294C2×C22⋊C4C22×D6111yescharacteristic
1295C2×C22⋊C4C22×D6111yescharacteristic
1296C2×C22⋊C4C22×D6111yescharacteristic
1297C2×C22⋊C4C22×D6111yescharacteristic
1298C2×C22⋊C4C22×D6111yescharacteristic
1299C2×C22⋊C4C22×D6111yescharacteristic
1300C2×C22⋊C4C22×D6111yescharacteristic
1301C2×C22⋊C4C22×D6111yescharacteristic
1302C2×C22⋊C4C22×D6111yescharacteristic
1303C2×C22⋊C4C22×D6111yescharacteristic
1304C2×C22⋊C4C22×D6111yescharacteristic
1305C2×C42—611no—
1306C2×C42—611no—
1307C2×C42—611no—
1308C2×C42—611no—
1309C2×C42—611no—
1310C2×C42—611no—
1311#95—611no—
1312#95—611no—
1313#95—611no—
1314#95—611no—
1315#95—611no—
1316#95—611no—
1317#95—611no—
1318#95—611no—
1319#95—611no—
1320#95—611no—
1321#95—611no—
1322#95—611no—
1323#95—611no—
1324#95—611no—
1325#95—611no—
1326#95—611no—
1327#95—611no—
1328#95—611no—
1329#95—611no—
1330#95—611no—
1331#95—611no—
1332#95—611no—
1333#95—611no—
1334#95—611no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—22no—
1342C24—22no—
1343C24—22no—
1344C24—22no—
1345C24—22no—
1346C24—22no—
1347C24—22no—
1348C24—22no—
1349C24—22no—
1350C24—22no—
1351C24—22no—
1352C24—22no—
1353C24—22no—
1354C24—22no—
1355C24—22no—
1356C24—22no—
1357C24—22no—
1358C24—22no—
1359C24—41no—
1360C24—41no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—41no—
1366C24—41no—
1367C24—41no—
1368C24—41no—
1369C24—41no—
1370C24—41no—
1371C24—41no—
1372C24—41no—
1373C24—41no—
1374C24—41no—
1375C24—41no—
1376C24—41no—
1377C24—41no—
1378C24—41no—
1379C24—41no—
1380C24—41no—
1381C24—41no—
1382C24—41no—
1383C24—416no—
1384C24—416no—
1385C24—416no—
1386C24—416no—
1387C24—416no—
1388C24—416no—
1389C24—416no—
1390C24—611no—
1391C24#1175822414yes—
1392C24C23×D6111yescharacteristic
1393C24C23×D6111yescharacteristic
1394C24C23×D6111yescharacteristic
1395C24C23×D6111yescharacteristic
1396C24C23×D6111yescharacteristic
1397C24C23×D6111yescharacteristic
1398C24C23×D6111yescharacteristic
1399C24C23×D6111yescharacteristic
1400C2×Q8—2441no—
1401C2×Q8—2441no—
1402C2×Q8—2441no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—22no—
1411C2×D4—22no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—1222no—
1425C2×D4—1222no—
1426C2×D4—1222no—
1427C2×D4—1222no—
1428C2×D4—1222no—
1429C2×D4—1222no—
1430C2×D4—1222no—
1431C2×D4—1222no—
1432C2×D4—1222no—
1433C2×D4—2441no—
1434C2×D4—2441no—
1435C2×D4—2441no—
1436C2×D4—2441no—
1437C2×D4—2441no—
1438C2×D4—2441no—
1439C2×D4—2441no—
1440C2×D4—2441no—
1441C2×D4—2441no—
1442C2×D4—2441no—
1443C2×D4—2441no—
1444C2×D4—2441no—
1445C2×D4—2441no—
1446C2×D4—2441no—
1447C2×D4—2441no—
1448C22×C4—611no—
1449C22×C4—611no—
1450C22×C4—611no—
1451C22×C4—611no—
1452C22×C4—611no—
1453C22×C4—611no—
1454C22×C4—611no—
1455C22×C4—611no—
1456C22×C4—611no—
1457C22×C4—611no—
1458C22×C4—611no—
1459C22×C4—611no—
1460C22×C4—611no—
1461C22×C4—611no—
1462C22×C4—611no—
1463C22×C4—1222no—
1464C22×C4—1222no—
1465C22×C4—1222no—
1466C22×C4—1222no—
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×C4C23×D6111yescharacteristic
1482C22×C4C23×D6111yescharacteristic
1483C22×C4C23×D6111yescharacteristic
1484C22×C4C23×D6111yescharacteristic
1485C22×C4C23×D6111yescharacteristic
1486C22×C4C23×D6111yescharacteristic
1487C22×C4C23×D6111yescharacteristic
1488C4⋊C4—2441no—
1489C4⋊C4—2441no—
1490C4⋊C4—2441no—
1491C4⋊C4—2441no—
1492C4⋊C4—2441no—
1493C4⋊C4—2441no—
1494C4⋊C4—2441no—
1495C4⋊C4—2441no—
1496C4⋊C4—2441no—
1497C4⋊C4—2441no—
1498C4⋊C4—2441no—
1499C4⋊C4—2441no—
1500C4⋊C4—2441no—
1501C4⋊C4—2441no—
1502C4⋊C4—2441no—
1503C4⋊C4—2441no—
1504C4⋊C4—2441no—
1505C4⋊C4—2441no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—1222no—
1528C22⋊C4—1222no—
1529C22⋊C4—1222no—
1530C22⋊C4—1222no—
1531C22⋊C4—1222no—
1532C22⋊C4—1222no—
1533C22⋊C4—1222no—
1534C22⋊C4—1222no—
1535C22⋊C4—1222no—
1536C22⋊C4—1222no—
1537C22⋊C4—1222no—
1538C22⋊C4—1222no—
1539C22⋊C4—1222no—
1540C22⋊C4—1222no—
1541C22⋊C4—1222no—
1542C22⋊C4—1222no—
1543C22⋊C4—1222no—
1544C22⋊C4—2441no—
1545C22⋊C4—2441no—
1546C22⋊C4—2441no—
1547C22⋊C4—2441no—
1548C22⋊C4—2441no—
1549C22⋊C4—2441no—
1550C22⋊C4—2441no—
1551C22⋊C4—2441no—
1552C22⋊C4—2441no—
1553C22⋊C4—2441no—
1554C22⋊C4—2441no—
1555C22⋊C4—2441no—
1556C22⋊C4—2441no—
1557C22⋊C4—2441no—
1558C22⋊C4—2441no—
1559C22⋊C4—2441no—
1560C22⋊C4—2441no—
1561C22⋊C4—2441no—
1562C22⋊C4—2441no—
1563C22⋊C4—2441no—
1564C22⋊C4—2441no—
1565C22⋊C4—2441no—
1566C22⋊C4—2441no—
1567C22⋊C4—2441no—
1568C22⋊C4—2441no—
1569C22⋊C4—2441no—
1570C22⋊C4—2441no—
1571C22⋊C4—2441no—
1572C22⋊C4—2441no—
1573C22⋊C4—2441no—
1574C22⋊C4—2441no—
1575C22⋊C4—2441no—
1576C22⋊C4—2441no—
1577C22⋊C4—2441no—
1578C22⋊C4—2441no—
1579C22⋊C4—2441no—
1580C22⋊C4—2441no—
1581C22⋊C4—2441no—
1582C22⋊C4—2441no—
1583C22⋊C4—2441no—
1584C42—2441no—
1585C42—2441no—
1586C42—2441no—
1587C42—2441no—
1588C42—2441no—
1589C42—2441no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—28no—
1595C23—28no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—28no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—44no—
1641C23—44no—
1642C23—44no—
1643C23—44no—
1644C23—44no—
1645C23—44no—
1646C23—44no—
1647C23—44no—
1648C23—44no—
1649C23—44no—
1650C23—44no—
1651C23—44no—
1652C23—44no—
1653C23—44no—
1654C23—44no—
1655C23—44no—
1656C23—44no—
1657C23—44no—
1658C23—44no—
1659C23—44no—
1660C23—44no—
1661C23—44no—
1662C23—44no—
1663C23—44no—
1664C23—44no—
1665C23—44no—
1666C23—44no—
1667C23—44no—
1668C23—44no—
1669C23—44no—
1670C23—44no—
1671C23—44no—
1672C23—44no—
1673C23—44no—
1674C23—44no—
1675C23—44no—
1676C23—44no—
1677C23—44no—
1678C23—44no—
1679C23—44no—
1680C23—4128no—
1681C23—44no—
1682C23—44no—
1683C23—44no—
1684C23—44no—
1685C23—44no—
1686C23—44no—
1687C23—1221no—
1688C23—1221no—
1689C23—1221no—
1690C23—1221no—
1691C23—1221no—
1692C23—1221no—
1693C23—1221no—
1694C23C2×#1175822412yes—
1695C23C2×#1175822412yes—
1696C23C2×#1175822412yes—
1697C23#1451982212yes—
1698C23#1451982212yes—
1699C23#1451982212yes—
1700C23#1451982212yes—
1701C23#1451982212yes—
1702C23#1451982212yes—
1703C23C24×D6111yescharacteristic
1704Q8—4882no—
1705D4—44no—
1706D4—82no—
1707D4—82no—
1708D4—82no—
1709D4—82no—
1710D4—82no—
1711D4—82no—
1712D4—4882no—
1713D4—4882no—
1714D4—4882no—
1715D4—4882no—
1716D4—4882no—
1717D4—4882no—
1718D4—4882no—
1719D4—2444no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—1221no—
1742C2×C4—1221no—
1743C2×C4—1221no—
1744C2×C4—1221no—
1745C2×C4—1221no—
1746C2×C4—1221no—
1747C2×C4—1221no—
1748C2×C4—1221no—
1749C2×C4—1221no—
1750C2×C4—1221no—
1751C2×C4—1221no—
1752C2×C4—1221no—
1753C2×C4—1221no—
1754C2×C4—1221no—
1755C2×C4—1221no—
1756C2×C4—1221no—
1757C2×C4—1221no—
1758C2×C4—1221no—
1759C2×C4—1221no—
1760C2×C4—1221no—
1761C2×C4—1221no—
1762C2×C4—1221no—
1763C2×C4—1221no—
1764C2×C4—1221no—
1765C2×C4—1221no—
1766C2×C4—1221no—
1767C2×C4—1221no—
1768C2×C4—1221no—
1769C2×C4—1221no—
1770C2×C4—1221no—
1771C2×C4—1221no—
1772C2×C4—1221no—
1773C2×C4—1221no—
1774C2×C4—1221no—
1775C2×C4—1221no—
1776C2×C4—1221no—
1777C2×C4—1221no—
1778C2×C4—1221no—
1779C2×C4—1221no—
1780C2×C4—1221no—
1781C2×C4—1221no—
1782C2×C4—1221no—
1783C2×C4—1221no—
1784C2×C4—1221no—
1785C2×C4—1221no—
1786C2×C4—4882no—
1787C2×C4—4882no—
1788C2×C4—4882no—
1789C2×C4—4882no—
1790C2×C4—4882no—
1791C2×C4—4882no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—416no—
1817C22—416no—
1818C22—416no—
1819C22—416no—
1820C22—416no—
1821C22—416no—
1822C22—416no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—2441no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22#1684034714yes—
1862C22C22×#1175822411yescharacteristic
1863C22C2×#1451982211yescharacteristic
1864C22C2×#1451982211yescharacteristic
1865C22C2×#1451982211yescharacteristic
1866C22C2×#1451982211yescharacteristic
1867C22C2×#1451982211yescharacteristic
1868C22C2×#1451982211yescharacteristic
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—2441no—
1877C4—2441no—
1878C4—2441no—
1879C4—2441no—
1880C4—2441no—
1881C4—2441no—
1882C4—2441no—
1883C4—2441no—
1884C4—2441no—
1885C4—2441no—
1886C4—2441no—
1887C4—2441no—
1888C4—2441no—
1889C4—2441no—
1890C4—2441no—
1891C2—24no—
1892C2—42no—
1893C2—42no—
1894C2—42no—
1895C2—42no—
1896C2—42no—
1897C2—42no—
1898C2—81no—
1899C2—4881no—
1900C2C2×#1684034711yescharacteristic
1901C2#2145950611yescharacteristic
1902C2#2145950611yescharacteristic
1903C2#2145997411yescharacteristic
1904C2#2145997411yescharacteristic
1905C2#2145997411yescharacteristic
1906C2#2145997411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2846C2
hypercenter#2846D61
hypocenterC61#36725
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2846

Complements

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

NH ≅ G/Ntype
1. #21454096C2semidirect
2. #21452865C2semidirect
3. #21452860C2semidirect
4. #21452856C2semidirect
5. #21452856C2semidirect
6. #21452382C2semidirect
7. #21452380C2semidirect
8. #21452214C2semidirect
9. #21452210C2semidirect
10. #21452206C2semidirect
11. #21452206C2semidirect
12. #21452199C2semidirect
13. #21452197C2semidirect
14. #21452144C2semidirect
15. #21452140C2semidirect
16. #21452041C2semidirect
17. #21452023C2semidirect
18. #21451628C2semidirect
19. #21451557C2semidirect
20. #21450064C2semidirect
21. #21450062C2semidirect
22. #21449944C2semidirect
23. #21449942C2semidirect
24. #21449359C2semidirect
25. #21449351C2semidirect
26. #21449285C2semidirect
27. #21449277C2semidirect
28. #21448480C2semidirect
29. #21448474C2semidirect
30. C2×#16839618C2semidirect
31. C61×#2846C2semidirect
32. C2×#14519770C22semidirect
33. C2×#14519770C22semidirect
34. C2×#14519764C22semidirect
35. C2×#14519763C22semidirect
36. C2×#14519759C22semidirect
37. C2×#14519758C22semidirect
38. C2×#14519754C22semidirect
39. C2×#14519749C22semidirect
40. C2×#14519749C22semidirect
41. C2×#14519748C22semidirect
49. C2×D4×Dic61C22semidirect
50. C2×#14519737C22semidirect
57. #16839698C22semidirect
58. #16839698C22semidirect
59. #16839698C22semidirect
60. #16839698C22semidirect
61. #16839690C22semidirect
62. #16839690C22semidirect
63. #16839690C22semidirect
64. #16839690C22semidirect
65. #16839690C22semidirect
66. #16839690C22semidirect
67. #16839690C22semidirect
68. #16839690C22semidirect
69. #16839687C22semidirect
70. #16839687C22semidirect
71. #16839687C22semidirect
72. #16839687C22semidirect
73. #16839685C22semidirect
74. #16839685C22semidirect
75. #16839685C22semidirect
76. #16839685C22semidirect
77. #16839685C22semidirect
78. #16839685C22semidirect
79. #16839685C22semidirect
80. #16839685C22semidirect
81. #16839678C22semidirect
82. #16839678C22semidirect
83. #16839678C22semidirect
84. #16839678C22semidirect
85. #16839677C22semidirect
86. #16839677C22semidirect
87. #16839677C22semidirect
88. #16839677C22semidirect
89. #16839676C22semidirect
90. #16839676C22semidirect
91. #16839676C22semidirect
92. #16839676C22semidirect
93. #16839676C22semidirect
94. #16839676C22semidirect
95. #16839676C22semidirect
96. #16839676C22semidirect
97. #16839674C22semidirect
98. #16839674C22semidirect
99. #16839674C22semidirect
100. #16839674C22semidirect
101. #16839670C22semidirect
102. #16839670C22semidirect
103. #16839670C22semidirect
104. #16839670C22semidirect
105. #16839665C22semidirect
106. #16839665C22semidirect
107. #16839665C22semidirect
108. #16839665C22semidirect
109. #16839662C22semidirect
110. #16839662C22semidirect
111. #16839662C22semidirect
112. #16839662C22semidirect
113. #16839656C22semidirect
114. #16839656C22semidirect
115. #16839656C22semidirect
116. #16839656C22semidirect
117. #16839656C22semidirect
118. #16839656C22semidirect
119. #16839656C22semidirect
120. #16839656C22semidirect
121. #16839655C22semidirect
122. #16839655C22semidirect
123. #16839655C22semidirect
124. #16839655C22semidirect
125. #16839655C22semidirect
126. #16839655C22semidirect
127. #16839655C22semidirect
128. #16839655C22semidirect
129. #16839650C22semidirect
130. #16839650C22semidirect
131. #16839650C22semidirect
132. #16839650C22semidirect
133. #16839650C22semidirect
134. #16839650C22semidirect
135. #16839650C22semidirect
136. #16839650C22semidirect
137. #16839642C22semidirect
138. #16839642C22semidirect
139. #16839642C22semidirect
140. #16839642C22semidirect
141. #16839642C22semidirect
142. #16839642C22semidirect
143. #16839639C22semidirect
144. #16839639C22semidirect
145. #16839638C22semidirect
146. #16839638C22semidirect
147. #16839638C22semidirect
148. #16839638C22semidirect
149. #16839637C22semidirect
150. #16839637C22semidirect
151. #16839634C22semidirect
152. #16839634C22semidirect
153. #16839620C22semidirect
154. #16839620C22semidirect
170. C22⋊C4×Dic61C22semidirect
171. C22⋊C4×Dic61C22semidirect
187. C22×Dic122C23semidirect
195. C22×C22⋊D61C23semidirect
200. C23×Dic61C23semidirect
201. C22×C4×D61C23semidirect
221. C2×C4⋊Dic61C23semidirect
222. C2×C4⋊Dic61C23semidirect
223. C2×C4⋊Dic61C23semidirect
224. C2×C4⋊Dic61C23semidirect
225. C2×C4⋊Dic61C23semidirect
226. C2×C4⋊Dic61C23semidirect
227. C2×#11758196C23semidirect
228. C2×#11758196C23semidirect
229. C2×#11758196C23semidirect
230. C2×#11758196C23semidirect
231. C2×#11758196C23semidirect
232. C2×#11758196C23semidirect
233. C2×#11758196C23semidirect
234. C2×#11758196C23semidirect
235. C2×#11758196C23semidirect
236. C2×#11758196C23semidirect
237. C2×#11758196C23semidirect
238. C2×#11758196C23semidirect
290. C2×C22⋊Dic61C23semidirect
291. C2×C22⋊Dic61C23semidirect
292. C2×C22⋊Dic61C23semidirect
293. C2×C22⋊Dic61C23semidirect
294. C2×C22⋊Dic61C23semidirect
295. C2×C22⋊Dic61C23semidirect
296. C2×#11758198C23semidirect
297. C2×#11758198C23semidirect
298. C2×#11758198C23semidirect
299. C2×#11758198C23semidirect
300. C2×#11758198C23semidirect
301. C2×#11758198C23semidirect
302. C2×C4×Dic61C23semidirect
303. C2×C4×Dic61C23semidirect
304. C2×C4×Dic61C23semidirect
305. C2×C4×Dic61C23semidirect
306. C2×C4×Dic61C23semidirect
307. C2×C4×Dic61C23semidirect
308. #14519684C23semidirect
309. #14519684C23semidirect
310. #14519684C23semidirect
311. #14519684C23semidirect
312. #14519684C23semidirect
313. #14519684C23semidirect
314. #14519684C23semidirect
315. #14519684C23semidirect
316. #14519684C23semidirect
317. #14519684C23semidirect
318. #14519684C23semidirect
319. #14519684C23semidirect
320. #14519684C23semidirect
321. #14519684C23semidirect
322. #14519684C23semidirect
323. #14519684C23semidirect
324. #14519684C23semidirect
325. #14519684C23semidirect
326. #14519684C23semidirect
327. #14519684C23semidirect
328. #14519684C23semidirect
329. #14519684C23semidirect
330. #14519684C23semidirect
331. #14519684C23semidirect
939. #2846D61semidirect
1140. C61#36725semidirect

Maximal subgroups

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

subgroupindex
#214540962
#214528652
#214528602
#214528562
#214523822
#214523802
#214522142
#214522102
#214522062
#214521992
#214521972
#214521442
#214521402
#214520412
#214520232
#214516282
#214515572
#214500642
#214500622
#214499442
#214499422
#214493592
#214493512
#214492852
#214492772
#214484802
#214484742
C2×#168396182
C61×#28462
#3672561