Finite Group Databasebeta

← #29886942

Subgroups — #29886942

Order 15616.

3034 conjugacy classes of subgroups.

The subgroup lattice has 1928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840322C211yesmaximal, characteristic, complemented
2C2×#121×D61C211yesmaximal, characteristic, complemented
3#21454110C211yesmaximal, characteristic, complemented
4#21454108C211yesmaximal, characteristic, complemented
5#21452439C211yesmaximal, characteristic, complemented
6#21452437C211yesmaximal, characteristic, complemented
7#21452430C211yesmaximal, characteristic, complemented
8#21452428C211yesmaximal, characteristic, complemented
9#21452409C211yesmaximal, characteristic, complemented
10#21452408C211yesmaximal, characteristic, complemented
11#21452403C211yesmaximal, characteristic, complemented
12#21452401C211yesmaximal, characteristic, complemented
13#21452186C211yesmaximal, characteristic, complemented
14#21452184C211yesmaximal, characteristic, complemented
15#21452182C211yesmaximal, characteristic, complemented
16#21452179C211yesmaximal, characteristic, complemented
17#21452148C211yesmaximal, characteristic, complemented
18#21452144C211yesmaximal, characteristic, complemented
19#21452140C211yesmaximal, characteristic, complemented
20#21451530C211yesmaximal, characteristic, complemented
21#21451530C211yesmaximal, characteristic, complemented
22#21450096C211yesmaximal, characteristic, complemented
23#21449225C211yesmaximal, characteristic, complemented
24#21449221C211yesmaximal, characteristic, complemented
25#21449201C211yesmaximal, characteristic, complemented
26#21449197C211yesmaximal, characteristic, complemented
27#21449144C211yesmaximal, characteristic, complemented
28#21449141C211yesmaximal, characteristic, complemented
29#21449130C211yesmaximal, characteristic, complemented
30#21448398C211yesmaximal, characteristic, complemented
31C61×#2678C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C22×D4×D61C2211yescharacteristic, complemented
36C23×C4×D61C2211yescharacteristic, complemented
37#16840322—28no—
38C2×#14519762C2211yescharacteristic, complemented
39C2×#14519761C2211yescharacteristic, complemented
40C2×#14519759C2211yescharacteristic
41C2×#14519759C2211yescharacteristic
42C2×#14519759C2211yescharacteristic
43C2×#14519759C2211yescharacteristic
44C2×#14519759C2211yescharacteristic, complemented
45C2×#14519759C2211yescharacteristic, complemented
46C2×#14519759C2211yescharacteristic, complemented
47C2×#14519758C2211yescharacteristic, complemented
48C2×#14519758C2211yescharacteristic, complemented
49C2×#14519752C2211yescharacteristic, complemented
50C2×#14519751C2211yescharacteristic, complemented
51C2×#14519750C2211yescharacteristic
52C2×#14519750C2211yescharacteristic, complemented
53C2×#14519750C2211yescharacteristic, complemented
54C2×#14519750C2211yescharacteristic, complemented
55C2×#14519749C2211yescharacteristic
56C2×#14519749C2211yescharacteristic, complemented
57C2×#14519748C2211yescharacteristic
58C2×#14519748C2211yescharacteristic, complemented
59C2×#14519748C2211yescharacteristic, complemented
60#121×D61—28no—
61C2×#14519746C2211yescharacteristic, complemented
62C2×#14519746C2211yescharacteristic, complemented
63C2×#14519745C2211yescharacteristic
64C2×#14519745C2211yescharacteristic
65C2×#14519745C2211yescharacteristic
66C2×#14519745C2211yescharacteristic
67C2×#14519735C2211yescharacteristic, complemented
68C2×#14519734C2211yescharacteristic, complemented
69C2×C4⋊C4×D61C2211yescharacteristic, complemented
70C2×C22⋊C4×D61C2211yescharacteristic
71C2×C22⋊C4×D61C2211yescharacteristic
72C2×C22⋊C4×D61C2211yescharacteristic, complemented
73#16839696C2211yescharacteristic, complemented
74#16839695C2211yescharacteristic, complemented
75#16839694C2211yescharacteristic, complemented
76#16839692C2211yescharacteristic, complemented
77#16839690C2211yescharacteristic, complemented
78#16839690C2211yescharacteristic, complemented
79#16839687C2211yescharacteristic, complemented
80#16839685C2211yescharacteristic, complemented
81#16839685C2211yescharacteristic, complemented
82#16839685C2211yescharacteristic, complemented
83#16839685C2211yescharacteristic, complemented
84#16839685C2211yescharacteristic, complemented
85#16839684C2211yescharacteristic, complemented
86#16839684C2211yescharacteristic, complemented
87#16839680C2211yescharacteristic, complemented
88#16839680C2211yescharacteristic, complemented
89#16839678C2211yescharacteristic, complemented
90#16839678C2211yescharacteristic, complemented
91#16839678C2211yescharacteristic, complemented
92#16839678C2211yescharacteristic, complemented
93#16839678C2211yescharacteristic, complemented
94#16839678C2211yescharacteristic, complemented
95#16839678C2211yescharacteristic, complemented
96#16839678C2211yescharacteristic, complemented
97#16839677C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic, complemented
99#16839677C2211yescharacteristic, complemented
100#16839677C2211yescharacteristic, complemented
101#16839676C2211yescharacteristic, complemented
102#16839676C2211yescharacteristic, complemented
103#16839676C2211yescharacteristic, complemented
104#16839676C2211yescharacteristic, complemented
105#16839671C2211yescharacteristic, complemented
106#16839671C2211yescharacteristic, complemented
107#16839671C2211yescharacteristic, complemented
108#16839671C2211yescharacteristic, complemented
109#16839670C2211yescharacteristic, complemented
110#16839670C2211yescharacteristic, complemented
111#16839670C2211yescharacteristic, complemented
112#16839670C2211yescharacteristic, complemented
113#16839670C2211yescharacteristic, complemented
114#16839670C2211yescharacteristic, complemented
115#16839665C2211yescharacteristic, complemented
116#16839665C2211yescharacteristic, complemented
117#16839664C2211yescharacteristic, complemented
118#16839663C2211yescharacteristic, complemented
119#16839662C2211yescharacteristic, complemented
120#16839662C2211yescharacteristic, complemented
121#16839662C2211yescharacteristic, complemented
122#16839662C2211yescharacteristic, complemented
123#16839662C2211yescharacteristic, complemented
124#16839662C2211yescharacteristic, complemented
125#16839661C2211yescharacteristic, complemented
126#16839660C2211yescharacteristic, complemented
127#16839659C2211yescharacteristic, complemented
128#16839657C2211yescharacteristic, complemented
129#16839656C2211yescharacteristic, complemented
130#16839656C2211yescharacteristic, complemented
131#16839655C2211yescharacteristic, complemented
132#16839655C2211yescharacteristic, complemented
133#16839654C2211yescharacteristic, complemented
134#16839653C2211yescharacteristic, complemented
135#16839650C2211yescharacteristic, complemented
136#16839642C2211yescharacteristic, complemented
137#16839642C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839639C2211yescharacteristic, complemented
140#16839638C2211yescharacteristic
141#16839638C2211yescharacteristic
142#16839638C2211yescharacteristic
143#16839638C2211yescharacteristic
144#16839638C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839638C2211yescharacteristic, complemented
147#16839637C2211yescharacteristic, complemented
148#16839637C2211yescharacteristic, complemented
149#16839636C2211yescharacteristic, complemented
150#16839636C2211yescharacteristic, complemented
151#16839636C2211yescharacteristic, complemented
152#16839635C2211yescharacteristic, complemented
153#16839634C2211yescharacteristic, complemented
154#16839633C2211yescharacteristic, complemented
155#16839633C2211yescharacteristic, complemented
156#16839633C2211yescharacteristic, complemented
157#16839633C2211yescharacteristic, complemented
158#16839633C2211yescharacteristic, complemented
159#16839625C2211yescharacteristic, complemented
160#16839624C2211yescharacteristic, complemented
161#16839624C2211yescharacteristic, complemented
162#16839624C2211yescharacteristic, complemented
163#16839624C2211yescharacteristic, complemented
164#16839624C2211yescharacteristic, complemented
165#16839624C2211yescharacteristic, complemented
166#16839623C2211yescharacteristic, complemented
167#16839618C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic
169#16839617C2211yescharacteristic
170#16839617C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic, complemented
172#16839617C2211yescharacteristic, complemented
173#16839617C2211yescharacteristic, complemented
174C2×#123×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic
176C2×#120×C61C2211yescharacteristic, complemented
177C2×#120×C61C2211yescharacteristic, complemented
178C61×#397C2211yescharacteristic, complemented
179C61×#396C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#392C2211yescharacteristic, complemented
183C61×#392C2211yescharacteristic, complemented
184C61×#390C2211yescharacteristic, complemented
185C61×#390C2211yescharacteristic, complemented
186C61×#388C2211yescharacteristic, complemented
187C61×#386C2211yescharacteristic, complemented
188C61×#379C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C24×D61C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×C22⋊D61—24no—
196C22×C22⋊D61—42no—
197C22×C22⋊D61—42no—
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C2×D4×D61—24no—
213C2×D4×D61—24no—
214C2×D4×D61—42no—
215C2×D4×D61—42no—
216C2×D4×D61—42no—
217C2×D4×D61—42no—
218C2×D4×D61—42no—
219C2×D4×D61—42no—
220C2×D4×D61D418yescomplemented
221C23×Dic61C2311yescharacteristic
222C23×Dic61C2311yescharacteristic
223C22×C4×D61—24no—
224C22×C4×D61—42no—
225C22×C4×D61—42no—
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230C22×C4×D61C2311yescharacteristic
231C22×C4×D61C2311yescharacteristic
232C22×C4×D61C2311yescharacteristic
233C22×C4×D61C2311yescharacteristic
234#14519762—42no—
235#14519761—24no—
236#14519759—24no—
237#14519759—24no—
238#14519759—42no—
239#14519759—42no—
240#14519759—42no—
241#14519759—42no—
242#14519759—42no—
243#14519758—24no—
244#14519758—42no—
245#14519752—24no—
246#14519751—24no—
247#14519750—24no—
248#14519750—24no—
249#14519750—24no—
250#14519750—24no—
251#14519749—24no—
252#14519749—24no—
253#14519748—24no—
254#14519748—24no—
255#14519748—24no—
256#14519746—24no—
257#14519746—42no—
258#14519745—24no—
259#14519745—24no—
260#14519745—42no—
261#14519745—42no—
262#14519735—42no—
263#14519734—42no—
264C2×C4⋊Dic61C2311yescharacteristic
265C2×C4⋊Dic61C2311yescharacteristic
266C2×C4⋊Dic61C2311yescharacteristic
267C2×C4⋊Dic61C2311yescharacteristic
268C2×C4⋊Dic61C2311yescharacteristic
269C2×C4⋊Dic61C2311yescharacteristic
270C2×C4⋊Dic61C2311yescharacteristic
271C2×C4⋊Dic61C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×#11758196C2311yescharacteristic
279C2×#11758196C2311yescharacteristic
280C2×#11758196C2311yescharacteristic
281C2×#11758196C2311yescharacteristic
282C2×#11758196C2311yescharacteristic
283C2×#11758196C2311yescharacteristic
284C4⋊C4×D61—24no—
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
295C2×C22⋊Dic61C2311yescharacteristic
296C2×C22⋊Dic61C2311yescharacteristic
297C2×C22⋊Dic61C2311yescharacteristic
298C2×C22⋊Dic61C2311yescharacteristic
299C2×C22⋊Dic61C2311yescharacteristic
300C2×C22⋊Dic61C2311yescharacteristic
301C2×C22⋊Dic61C2311yescharacteristic
302C2×C22⋊Dic61C2311yescharacteristic
303C2×C22⋊Dic61C2311yescharacteristic
304C2×C22⋊Dic61C2311yescharacteristic
305C2×C22⋊Dic61C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×#11758198C2311yescharacteristic
326C2×#11758198C2311yescharacteristic
327C2×#11758198C2311yescharacteristic
328C2×#11758198C2311yescharacteristic
329C2×#11758198C2311yescharacteristic
330C2×#11758198C2311yescharacteristic
331C2×#11758198C2311yescharacteristic
332C22⋊C4×D61—24no—
333C22⋊C4×D61—24no—
334C22⋊C4×D61—24no—
335C2×C4×Dic61C2311yescharacteristic
336C2×C4×Dic61C2311yescharacteristic
337C2×C4×Dic61C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354#14519684C2311yescharacteristic
355#14519684C2311yescharacteristic
356#14519684C2311yescharacteristic
357#14519684C2311yescharacteristic
358C25×C61C2311yescharacteristic
359C22×D4×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C22×D4×C61C2311yescharacteristic
364C22×D4×C61C2311yescharacteristic
365C22×D4×C61C2311yescharacteristic
366C23×C4×C61C2311yescharacteristic
367#123×C61—42no—
368#121×C61—24no—
369#120×C61—24no—
370#120×C61—42no—
371C2×C4⋊C4×C61C2311yescharacteristic
372C2×C4⋊C4×C61C2311yescharacteristic
373C2×C4⋊C4×C61C2311yescharacteristic
374C2×C4⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389C2×C22⋊C4×C61C2311yescharacteristic
390C2×C22⋊C4×C61C2311yescharacteristic
391C2×C22⋊C4×C61C2311yescharacteristic
392C2×C42×C61C2311yescharacteristic
393#95×C61C2311yescharacteristic
394#95×C61C2311yescharacteristic
395#95×C61C2311yescharacteristic
396#95×C61C2311yescharacteristic
397C24×C61—22no—
398C24×C61—41no—
399C24×C61—41no—
400C24×C61—41no—
401C24×C61—41no—
402C24×C61—41no—
403C24×C61—41no—
404C24×C61C2411yescharacteristic
405C24×C61C2411yescharacteristic
406C24×C61C2411yescharacteristic
407C24×C61C2411yescharacteristic
408C24×C61C2411yescharacteristic
409C23×D61—22no—
410C23×D61—22no—
411C23×D61—22no—
412C23×D61—22no—
413C23×D61—22no—
414C23×D61—22no—
415C23×D61—22no—
416C23×D61—41no—
417C23×D61—41no—
418C23×D61—41no—
419C23×D61—41no—
420C23×D61—41no—
421C23×D61—41no—
422C23×D61—41no—
423C23×D61—41no—
424C23×D61—41no—
425C23×D61—41no—
426C23×D61—41no—
427C23×D61—41no—
428C23×D61C2×D414yes—
429C23×D61C2×D414yes—
430C23×D61C2411yescharacteristic
431C23×D61C2411yescharacteristic
432C23×D61C2411yescharacteristic
433C23×D61C2411yescharacteristic
434C2×D4×C61—22no—
435C2×D4×C61—22no—
436C2×D4×C61—22no—
437C2×D4×C61—22no—
438C2×D4×C61—22no—
439C2×D4×C61—41no—
440C2×D4×C61—41no—
441C2×D4×C61—41no—
442C2×D4×C61—41no—
443C2×D4×C61—41no—
444C2×D4×C61—41no—
445C2×D4×C61—41no—
446C2×D4×C61—41no—
447C2×D4×C61—41no—
448C2×D4×C61—41no—
449C2×D4×C61—41no—
450C2×D4×C61—41no—
451C2×D4×C61—41no—
452C2×D4×C61—41no—
453C2×D4×C61—41no—
454C2×D4×C61C2×D414yes—
455C22×C4×C61—22no—
456C22×C4×C61—22no—
457C22×C4×C61—41no—
458C22×C4×C61C2411yescharacteristic
459C22×C4×C61C2411yescharacteristic
460C22×C4×C61C2411yescharacteristic
461C22×C4×C61C2411yescharacteristic
462C22×C4×C61C2411yescharacteristic
463C22×C4×C61C2411yescharacteristic
464C22×C4×C61C2411yescharacteristic
465C22×C4×C61C2411yescharacteristic
466C22×C4×C61C2411yescharacteristic
467C22×C4×C61C2411yescharacteristic
468C2×C22⋊D61—22no—
469C2×C22⋊D61—22no—
470C2×C22⋊D61—22no—
471C2×C22⋊D61—22no—
472C2×C22⋊D61—22no—
473C2×C22⋊D61—22no—
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—22no—
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—
498C2×C22⋊D61—41no—
499C2×C22⋊D61—41no—
500C2×C22⋊D61—41no—
501C2×C22⋊D61—41no—
502C2×C22⋊D61—41no—
503C2×C22⋊D61—41no—
504C2×C22⋊D61—41no—
505C2×C22⋊D61—41no—
506C2×C22⋊D61—41no—
507C2×C22⋊D61—41no—
508C2×C22⋊D61—416no—
509C2×C22⋊D61C2×D414yes—
510C2×C22⋊D61C2×D414yes—
511C22×Dic61—22no—
512C22×Dic61—22no—
513C22×Dic61—22no—
514C22×Dic61—41no—
515C22×Dic61—41no—
516C22×Dic61—41no—
517C22×Dic61C2411yescharacteristic
518C22×Dic61C2411yescharacteristic
519C22×Dic61C2411yescharacteristic
520C22×Dic61C2411yescharacteristic
521C22×Dic61C2411yescharacteristic
522C22×Dic61C2411yescharacteristic
523C22×Dic61C2411yescharacteristic
524C22×Dic61C2411yescharacteristic
525C22×Dic61C2411yescharacteristic
526C22×Dic61C2411yescharacteristic
527C22×Dic61C2411yescharacteristic
528C22×Dic61C2411yescharacteristic
529D4×D61—416no—
530D4×D61—416no—
531D4×D61—416no—
532C2×D244—22no—
533C2×D244—22no—
534C2×D244—22no—
535C2×D244—41no—
536C2×D244—41no—
537C2×D244—41no—
538C2×D244—41no—
539C2×D244—41no—
540C2×D244C2×D414yes—
541C2×C4×D61—22no—
542C2×C4×D61—22no—
543C2×C4×D61—22no—
544C2×C4×D61—22no—
545C2×C4×D61—22no—
546C2×C4×D61—22no—
547C2×C4×D61—22no—
548C2×C4×D61—22no—
549C2×C4×D61—22no—
550C2×C4×D61—22no—
551C2×C4×D61—22no—
552C2×C4×D61—22no—
553C2×C4×D61—22no—
554C2×C4×D61—22no—
555C2×C4×D61—22no—
556C2×C4×D61—416no—
557C2×C4×D61—41no—
558C2×C4×D61—41no—
559C2×C4×D61—41no—
560C2×C4×D61—41no—
561C2×C4×D61—41no—
562C2×C4×D61—41no—
563C2×C4×D61—41no—
564C2×C4×D61—41no—
565C2×C4×D61C2×D414yes—
566C4⋊C4×C61—22no—
567C4⋊C4×C61—22no—
568C4⋊C4×C61—41no—
569C4⋊C4×C61—41no—
570C22⋊C4×C61—22no—
571C22⋊C4×C61—22no—
572C22⋊C4×C61—22no—
573C22⋊C4×C61—22no—
574C22⋊C4×C61—22no—
575C22⋊C4×C61—22no—
576C22⋊C4×C61—22no—
577C22⋊C4×C61—41no—
578C22⋊C4×C61—41no—
579C22⋊C4×C61—41no—
580C22⋊C4×C61—41no—
581C22⋊C4×C61—41no—
582C22⋊C4×C61—41no—
583C22⋊C4×C61—41no—
584C22⋊C4×C61—41no—
585C22⋊C4×C61—41no—
586C22⋊C4×C61—41no—
587C42×C61—41no—
588C22⋊Dic61—22no—
589C22⋊Dic61—22no—
590C22⋊Dic61—22no—
591C22⋊Dic61—22no—
592C22⋊Dic61—22no—
593C22⋊Dic61—22no—
594C22⋊Dic61—22no—
595C22⋊Dic61—22no—
596C22⋊Dic61—22no—
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—
606C22⋊Dic61—41no—
607C22⋊Dic61—41no—
608C22⋊Dic61—41no—
609#11758198—22no—
610#11758198—22no—
611#11758198—22no—
612#11758198—22no—
613#11758198—22no—
614#11758198—22no—
615#11758198—22no—
616#11758198—22no—
617#11758198—22no—
618#11758198—22no—
619#11758198—22no—
620#11758198—22no—
621#11758198—41no—
622#11758198—41no—
623#11758198—41no—
624#11758198—41no—
625#11758198—41no—
626#11758198—41no—
627#11758198—41no—
628#11758198—41no—
629#11758198—41no—
630#11758198—41no—
631#11758198—41no—
632#11758198—41no—
633#11758198—41no—
634#11758198—41no—
635C4⋊Dic61—22no—
636C4⋊Dic61—22no—
637C4⋊Dic61—22no—
638C4⋊Dic61—22no—
639C4⋊Dic61—41no—
640C4⋊Dic61—41no—
641C4⋊Dic61—41no—
642C4⋊Dic61—41no—
643#11758196—22no—
644#11758196—22no—
645#11758196—22no—
646#11758196—22no—
647#11758196—22no—
648#11758196—22no—
649#11758196—41no—
650#11758196—41no—
651#11758196—41no—
652#11758196—41no—
653#11758196—41no—
654#11758196—41no—
655C4×Dic61—41no—
656C4×Dic61—41no—
657C4×Dic61—41no—
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—21no—
687C23×C61—21no—
688C23×C61—21no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—44no—
692C23×C61—82no—
693C23×C61—82no—
694C23×C61—82no—
695C23×C61—82no—
696C23×C61—82no—
697C23×C61—82no—
698C23×C61C22×D412yes—
699C23×C61C22×D412yes—
700C23×C61C2511yescharacteristic
701C22×D61—21no—
702C22×D61—21no—
703C22×D61—21no—
704C22×D61—21no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—28no—
718C22×D61—28no—
719C22×D61—21no—
720C22×D61—21no—
721C22×D61—21no—
722C22×D61—21no—
723C22×D61—21no—
724C22×D61—21no—
725C22×D61—21no—
726C22×D61—44no—
727C22×D61—44no—
728C22×D61—44no—
729C22×D61—44no—
730C22×D61—44no—
731C22×D61—44no—
732C22×D61—44no—
733C22×D61—44no—
734C22×D61—44no—
735C22×D61—44no—
736C22×D61—44no—
737C22×D61—82no—
738C22×D61—82no—
739C22×D61—82no—
740C22×D61—82no—
741C22×D61—82no—
742C22×D61—82no—
743C22×D61—82no—
744C22×D61—82no—
745C22×D61C22×D412yes—
746C22×D61C22×D412yes—
747C22×D61C22×D412yes—
748C22×D61H(5,𝔽2)12yes—
749C22×D61H(5,𝔽2)12yes—
750D4×C61—44no—
751D4×C61—44no—
752D4×C61—44no—
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—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—21no—
784C2×C4×C61—21no—
785C2×C4×C61—44no—
786C2×C4×C61C22×D412yes—
787C2×C4×C61H(5,𝔽2)12yes—
788C22⋊D61—44no—
789C22⋊D61—44no—
790C22⋊D61—44no—
791C22⋊D61—44no—
792C22⋊D61—44no—
793C22⋊D61—44no—
794C22⋊D61—44no—
795C22⋊D61—44no—
796C22⋊D61—44no—
797C22⋊D61—44no—
798C22⋊D61—82no—
799C22⋊D61—82no—
800C22⋊D61—82no—
801C22⋊D61—82no—
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—21no—
832C2×Dic61—21no—
833C2×Dic61—21no—
834C2×Dic61—21no—
835C2×Dic61—21no—
836C2×Dic61—44no—
837C2×Dic61—44no—
838C2×Dic61C22×D412yes—
839C2×Dic61H(5,𝔽2)12yes—
840D244—44no—
841D244—44no—
842D244—44no—
843C4×D61—28no—
844C4×D61—28no—
845C4×D61—44no—
846C4×D61—44no—
847C4×D61—44no—
848C4×D61—44no—
849C4×D61—82no—
850C4×D61—82no—
851#36715—611nomaximal, Sylow
852C22×C61—22no—
853C22×C61—22no—
854C22×C61—22no—
855C22×C61—22no—
856C22×C61—22no—
857C22×C61—22no—
858C22×C61—41no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61—41no—
868C22×C61—41no—
869C22×C61—41no—
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—88no—
888C22×C61C23×D411yescharacteristic
889C22×C61C2×H(5,𝔽2)11yescharacteristic
890C22×C61C2×H(5,𝔽2)11yescharacteristic
891C22×C61C2×H(5,𝔽2)11yescharacteristic
892C22×C61C2×H(5,𝔽2)11yescharacteristic
893C22×C61#58511yescharacteristic
894C22×C61#58511yescharacteristic
895C2×D61—22no—
896C2×D61—22no—
897C2×D61—22no—
898C2×D61—22no—
899C2×D61—22no—
900C2×D61—22no—
901C2×D61—22no—
902C2×D61—22no—
903C2×D61—22no—
904C2×D61—22no—
905C2×D61—22no—
906C2×D61—22no—
907C2×D61—416no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—41no—
912C2×D61—41no—
913C2×D61—41no—
914C2×D61—41no—
915C2×D61—41no—
916C2×D61—41no—
917C2×D61—41no—
918C2×D61—41no—
919C2×D61—41no—
920C2×D61—41no—
921C2×D61—41no—
922C2×D61—41no—
923C2×D61—88no—
924C2×D61—88no—
925C2×D61#53414yes—
926C4×C61—22no—
927C4×C61—22no—
928C4×C61—41no—
929C4×C61—41no—
930C4×C61—41no—
931C4×C61—41no—
932C4×C61—41no—
933C4×C61—41no—
934C4×C61—41no—
935C4×C61—41no—
936Dic61—22no—
937Dic61—22no—
938Dic61—41no—
939Dic61—41no—
940Dic61—41no—
941Dic61—41no—
942Dic61—41no—
943Dic61—41no—
944Dic61—41no—
945Dic61—41no—
946Dic61—41no—
947Dic61—41no—
948C2×#534—611no—
949C22×#121—611no—
950#2849—611no—
951#2849—611no—
952#2701—611no—
953#2701—611no—
954#2701—611no—
955#2701—611no—
956#2699—611no—
957#2699—611no—
958#2699—611no—
959#2699—611no—
960#2682—611no—
961#2682—611no—
962#2682—611no—
963#2682—611no—
964#2678—611no—
965#2678—611no—
966#2678—611no—
967#2678D6111yescharacteristic, complemented
968#2613—611no—
969#2613—611no—
970#2483—611no—
971#2413—611no—
972#2413—611no—
973#2411—611no—
974#2411—611no—
975#2405—611no—
976#2405—611no—
977#2403—611no—
978#2309—611no—
979C2×C61—42no—
980C2×C61—42no—
981C2×C61—81no—
982C2×C61—81no—
983C2×C61—81no—
984C2×C61C2×#53411yescharacteristic
985C2×C61#348411yescharacteristic
986C2×C61#348511yescharacteristic
987C2×C61#354211yescharacteristic
988C2×C61#354211yescharacteristic
989C2×C61#354211yescharacteristic
990C2×C61#354211yescharacteristic
991D61—24no—
992D61—42no—
993D61—42no—
994D61—81no—
995C23×D4—611no—
996C23×D4—611no—
997C23×D4—611no—
998C23×D4—611no—
999C24×C4—611no—
1000#534—1228no—
1001C2×#123—611no—
1002C2×#123—611no—
1003C2×#123—611no—
1004C2×#123—611no—
1005C2×#123—611no—
1006C2×#123—611no—
1007C2×#123—611no—
1008C2×#123—611no—
1009C2×#123—611no—
1010C2×#123—611no—
1011C2×#123—611no—
1012C2×#123C2×D6111yescharacteristic, complemented
1013C2×#121—611no—
1014C2×#121—611no—
1015C2×#121—611no—
1016C2×#121—611no—
1017C2×#121—611no—
1018C2×#121—611no—
1019C2×#121—611no—
1020C2×#121—611no—
1021C2×#121—611no—
1022C2×#121—611no—
1023C2×#121—611no—
1024C2×#121—1228no—
1025C2×#121C2×D6111yescharacteristic
1026C2×#120—611no—
1027C2×#120—611no—
1028C2×#120—611no—
1029C2×#120—611no—
1030C2×#120—611no—
1031C2×#120—611no—
1032C2×#120C2×D6111yescharacteristic, complemented
1033C2×#120C2×D6111yescharacteristic, complemented
1034C2×#117—611no—
1035C2×#117—611no—
1036C22×C4⋊C4—611no—
1037C22×C22⋊C4—611no—
1038C22×C22⋊C4—611no—
1039C22×C22⋊C4—611no—
1040#398—611no—
1041#398—611no—
1042#398—611no—
1043#398—611no—
1044#397—611no—
1045#397—611no—
1046#397—611no—
1047#397C2×D6111yescharacteristic, complemented
1048#396—611no—
1049#396—611no—
1050#396—611no—
1051#396—611no—
1052#396—611no—
1053#396—611no—
1054#396—611no—
1055#396C2×D6111yescharacteristic, complemented
1056#394—611no—
1057#394—611no—
1058#394—611no—
1059#394—611no—
1060#394—611no—
1061#394—611no—
1062#394—611no—
1063#394—611no—
1064#394—611no—
1065#394—611no—
1066#394—611no—
1067#394—611no—
1068#394—611no—
1069#394—611no—
1070#394—611no—
1071#394—611no—
1072#394—611no—
1073#394—611no—
1074#394C2×D6111yescharacteristic, complemented
1075#394C2×D6111yescharacteristic, complemented
1076#392—611no—
1077#392—611no—
1078#392—611no—
1079#392—611no—
1080#392—611no—
1081#392—611no—
1082#392—611no—
1083#392—611no—
1084#392—611no—
1085#392—611no—
1086#392C2×D6111yescharacteristic, complemented
1087#392C2×D6111yescharacteristic, complemented
1088#390—611no—
1089#390—611no—
1090#390—611no—
1091#390—611no—
1092#390—611no—
1093#390—611no—
1094#390—611no—
1095#390—611no—
1096#390—611no—
1097#390—611no—
1098#390C2×D6111yescharacteristic, complemented
1099#390C2×D6111yescharacteristic, complemented
1100#389—611no—
1101#389—611no—
1102#389—611no—
1103#389—611no—
1104#388—611no—
1105#388—611no—
1106#388—611no—
1107#388—611no—
1108#388—611no—
1109#388—611no—
1110#388—611no—
1111#388C2×D6111yescharacteristic, complemented
1112#386—611no—
1113#386—611no—
1114#386—611no—
1115#386—611no—
1116#386—611no—
1117#386—611no—
1118#386—611no—
1119#386—611no—
1120#386—611no—
1121#386—611no—
1122#386—611no—
1123#386C2×D6111yescharacteristic, complemented
1124#385—611no—
1125#385—611no—
1126#385—611no—
1127#385—611no—
1128#385—611no—
1129#385—611no—
1130#385—611no—
1131#385—611no—
1132#385—611no—
1133#385—611no—
1134#385—611no—
1135#385—611no—
1136#381—611no—
1137#381—611no—
1138#381—611no—
1139#381—611no—
1140#381—611no—
1141#381—611no—
1142#381—611no—
1143#381—611no—
1144#379—611no—
1145#379—611no—
1146#379—611no—
1147#379—611no—
1148#379—611no—
1149#379—611no—
1150#379—611no—
1151#379C2×D6111yescharacteristic, complemented
1152C61#3671511yescharacteristic, complemented, Sylow
1153C25—611no—
1154C25—611no—
1155C25—611no—
1156C25C22×D6111yescharacteristic
1157C22×D4—611no—
1158C22×D4—611no—
1159C22×D4—618no—
1160C22×D4—611no—
1161C22×D4—611no—
1162C22×D4—611no—
1163C22×D4—611no—
1164C22×D4—611no—
1165C22×D4—611no—
1166C22×D4—611no—
1167C22×D4—611no—
1168C22×D4—611no—
1169C22×D4—611no—
1170C22×D4—611no—
1171C22×D4—611no—
1172C22×D4—611no—
1173C22×D4—611no—
1174C22×D4—611no—
1175C22×D4—1224no—
1176C22×D4—1224no—
1177C22×D4—1224no—
1178C22×D4—2442no—
1179C22×D4—2442no—
1180C22×D4—2442no—
1181C22×D4—2442no—
1182C22×D4—2442no—
1183C22×D4—2442no—
1184C22×D4—2442no—
1185C22×D4—2442no—
1186C22×D4C22×D6111yescharacteristic
1187C22×D4C22×D6111yescharacteristic
1188C22×D4C22×D6111yescharacteristic
1189C22×D4C22×D6111yescharacteristic
1190C22×D4C22×D6111yescharacteristic
1191C22×D4C22×D6111yescharacteristic
1192C22×D4C22×D6111yescharacteristic
1193C23×C4—611no—
1194C23×C4—611no—
1195C23×C4—611no—
1196C23×C4—611no—
1197C23×C4—611no—
1198C23×C4—611no—
1199C23×C4—611no—
1200C23×C4—611no—
1201C23×C4—611no—
1202C23×C4—611no—
1203C23×C4—1224no—
1204C23×C4—2442no—
1205C23×C4—2442no—
1206C23×C4C22×D6111yescharacteristic
1207#123—42no—
1208#123—1224no—
1209#123—1224no—
1210#123—1224no—
1211#123—1224no—
1212#123—2442no—
1213#123—2442no—
1214#123—2442no—
1215#123—2442no—
1216#123—2442no—
1217#123—2442no—
1218#123—2442no—
1219#121—24no—
1220#121—1224no—
1221#121—1224no—
1222#121—1224no—
1223#121—1224no—
1224#121—1224no—
1225#121—1224no—
1226#121—1224no—
1227#121—1224no—
1228#121—1224no—
1229#121—1224no—
1230#121—1224no—
1231#120—24no—
1232#120—42no—
1233#120—1224no—
1234#120—1224no—
1235#120—1224no—
1236#120—2442no—
1237#120—2442no—
1238#120—2442no—
1239#117—2442no—
1240#117—2442no—
1241C2×C4⋊C4—611no—
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—611no—
1244C2×C4⋊C4—611no—
1245C2×C4⋊C4—611no—
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—611no—
1250C2×C4⋊C4—611no—
1251C2×C4⋊C4—611no—
1252C2×C4⋊C4—611no—
1253C2×C4⋊C4—611no—
1254C2×C4⋊C4—611no—
1255C2×C4⋊C4—611no—
1256C2×C4⋊C4—611no—
1257C2×C4⋊C4—611no—
1258C2×C4⋊C4—611no—
1259C2×C4⋊C4—611no—
1260C2×C4⋊C4—611no—
1261C2×C4⋊C4—1224no—
1262C2×C4⋊C4C22×D6111yescharacteristic
1263C2×C4⋊C4C22×D6111yescharacteristic
1264C2×C4⋊C4C22×D6111yescharacteristic
1265C2×C4⋊C4C22×D6111yescharacteristic
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—611no—
1279C2×C22⋊C4—611no—
1280C2×C22⋊C4—611no—
1281C2×C22⋊C4—611no—
1282C2×C22⋊C4—611no—
1283C2×C22⋊C4—611no—
1284C2×C22⋊C4—611no—
1285C2×C22⋊C4—611no—
1286C2×C22⋊C4—611no—
1287C2×C22⋊C4—611no—
1288C2×C22⋊C4—611no—
1289C2×C22⋊C4—611no—
1290C2×C22⋊C4—611no—
1291C2×C22⋊C4—611no—
1292C2×C22⋊C4—611no—
1293C2×C22⋊C4—611no—
1294C2×C22⋊C4—611no—
1295C2×C22⋊C4—611no—
1296C2×C22⋊C4—611no—
1297C2×C22⋊C4—611no—
1298C2×C22⋊C4—611no—
1299C2×C22⋊C4—611no—
1300C2×C22⋊C4—611no—
1301C2×C22⋊C4—611no—
1302C2×C22⋊C4—611no—
1303C2×C22⋊C4—611no—
1304C2×C22⋊C4—611no—
1305C2×C22⋊C4—611no—
1306C2×C22⋊C4—611no—
1307C2×C22⋊C4—611no—
1308C2×C22⋊C4—611no—
1309C2×C22⋊C4—611no—
1310C2×C22⋊C4—611no—
1311C2×C22⋊C4—611no—
1312C2×C22⋊C4—611no—
1313C2×C22⋊C4—1224no—
1314C2×C22⋊C4—1224no—
1315C2×C22⋊C4—1224no—
1316C2×C22⋊C4C22×D6111yescharacteristic
1317C2×C22⋊C4C22×D6111yescharacteristic
1318C2×C22⋊C4C22×D6111yescharacteristic
1319C2×C22⋊C4C22×D6111yescharacteristic
1320C2×C22⋊C4C22×D6111yescharacteristic
1321C2×C22⋊C4C22×D6111yescharacteristic
1322C2×C22⋊C4C22×D6111yescharacteristic
1323C2×C22⋊C4C22×D6111yescharacteristic
1324C2×C22⋊C4C22×D6111yescharacteristic
1325C2×C22⋊C4C22×D6111yescharacteristic
1326C2×C22⋊C4C22×D6111yescharacteristic
1327C2×C22⋊C4C22×D6111yescharacteristic
1328C2×C22⋊C4C22×D6111yescharacteristic
1329C2×C22⋊C4C22×D6111yescharacteristic
1330C2×C22⋊C4C22×D6111yescharacteristic
1331C2×C22⋊C4C22×D6111yescharacteristic
1332C2×C22⋊C4C22×D6111yescharacteristic
1333C2×C42—611no—
1334C2×C42—611no—
1335C2×C42—611no—
1336C2×C42C22×D6111yescharacteristic
1337#95—611no—
1338#95—611no—
1339#95—611no—
1340#95—611no—
1341#95—611no—
1342#95—611no—
1343#95—611no—
1344#95—611no—
1345#95—611no—
1346#95—611no—
1347#95—611no—
1348#95—611no—
1349#95—611no—
1350#95—611no—
1351#95—611no—
1352#95—611no—
1353#95—611no—
1354#95—611no—
1355#95—611no—
1356#95—611no—
1357#95C22×D6111yescharacteristic
1358#95C22×D6111yescharacteristic
1359#95C22×D6111yescharacteristic
1360#95C22×D6111yescharacteristic
1361C24—22no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—41no—
1366C24—41no—
1367C24—41no—
1368C24—611no—
1369C24—611no—
1370C24—611no—
1371C24—614no—
1372C24—614no—
1373C24—611no—
1374C24—1222no—
1375C24—1222no—
1376C24—1222no—
1377C24—1222no—
1378C24—1222no—
1379C24—1222no—
1380C24—1222no—
1381C24—2441no—
1382C24—2441no—
1383C24—2441no—
1384C24—2441no—
1385C24—2441no—
1386C24—2441no—
1387C24—2441no—
1388C24—2441no—
1389C24—2441no—
1390C24—2441no—
1391C24—2441no—
1392C24—2441no—
1393C24C23×D6111yescharacteristic
1394C24C23×D6111yescharacteristic
1395C24C23×D6111yescharacteristic
1396C24C23×D6111yescharacteristic
1397C24C23×D6111yescharacteristic
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—614no—
1419C2×D4—614no—
1420C2×D4—614no—
1421C2×D4—1222no—
1422C2×D4—1222no—
1423C2×D4—1222no—
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—1222no—
1434C2×D4—1222no—
1435C2×D4—1222no—
1436C2×D4—1222no—
1437C2×D4—1222no—
1438C2×D4—1222no—
1439C2×D4—1222no—
1440C2×D4—2441no—
1441C2×D4—2441no—
1442C2×D4—2441no—
1443C2×D4—2441no—
1444C2×D4—2441no—
1445C2×D4—24416no—
1446C2×D4—24416no—
1447C2×D4—2441no—
1448C2×D4—2441no—
1449C2×D4—2441no—
1450C2×D4—2441no—
1451C2×D4—2441no—
1452C2×D4—2441no—
1453C2×D4—2441no—
1454C2×D4—2441no—
1455C2×D4—2441no—
1456C2×D4—2441no—
1457C2×D4—2441no—
1458C2×D4—2441no—
1459C2×D4—2441no—
1460C2×D4—2441no—
1461C2×D4—2441no—
1462C2×D4—2441no—
1463C2×D4—2441no—
1464C2×D4—2441no—
1465C2×D4—2441no—
1466C2×D4—2441no—
1467C2×D4—2441no—
1468C2×D4—2441no—
1469C2×D4—2441no—
1470C2×D4—2441no—
1471C2×D4—24416no—
1472C2×D4—24416no—
1473C2×D4D4×D6114yes—
1474C22×C4—22no—
1475C22×C4—22no—
1476C22×C4—41no—
1477C22×C4—611no—
1478C22×C4—611no—
1479C22×C4—614no—
1480C22×C4—611no—
1481C22×C4—611no—
1482C22×C4—611no—
1483C22×C4—611no—
1484C22×C4—611no—
1485C22×C4—611no—
1486C22×C4—611no—
1487C22×C4—611no—
1488C22×C4—611no—
1489C22×C4—611no—
1490C22×C4—1222no—
1491C22×C4—1222no—
1492C22×C4—1222no—
1493C22×C4—1222no—
1494C22×C4—1222no—
1495C22×C4—1222no—
1496C22×C4—1222no—
1497C22×C4—1222no—
1498C22×C4—1222no—
1499C22×C4—1222no—
1500C22×C4—1222no—
1501C22×C4—1222no—
1502C22×C4—1222no—
1503C22×C4—1222no—
1504C22×C4—1222no—
1505C22×C4—1222no—
1506C22×C4—1222no—
1507C22×C4—1222no—
1508C22×C4—2441no—
1509C22×C4—2441no—
1510C22×C4—2441no—
1511C22×C4—2441no—
1512C22×C4—2441no—
1513C22×C4—2441no—
1514C22×C4—2441no—
1515C22×C4—2441no—
1516C22×C4—24416no—
1517C22×C4—2441no—
1518C22×C4—2441no—
1519C22×C4—2441no—
1520C22×C4C23×D6111yescharacteristic
1521C22×C4C23×D6111yescharacteristic
1522C22×C4C23×D6111yescharacteristic
1523C22×C4C23×D6111yescharacteristic
1524C22×C4C23×D6111yescharacteristic
1525C22×C4C23×D6111yescharacteristic
1526C22×C4C23×D6111yescharacteristic
1527C22×C4C23×D6111yescharacteristic
1528C22×C4C23×D6111yescharacteristic
1529C22×C4C23×D6111yescharacteristic
1530C4⋊C4—22no—
1531C4⋊C4—22no—
1532C4⋊C4—41no—
1533C4⋊C4—41no—
1534C4⋊C4—1222no—
1535C4⋊C4—1222no—
1536C4⋊C4—1222no—
1537C4⋊C4—1222no—
1538C4⋊C4—1222no—
1539C4⋊C4—1222no—
1540C4⋊C4—1222no—
1541C4⋊C4—1222no—
1542C4⋊C4—1222no—
1543C4⋊C4—1222no—
1544C4⋊C4—2441no—
1545C4⋊C4—2441no—
1546C4⋊C4—2441no—
1547C4⋊C4—2441no—
1548C4⋊C4—2441no—
1549C4⋊C4—2441no—
1550C4⋊C4—2441no—
1551C4⋊C4—2441no—
1552C4⋊C4—2441no—
1553C4⋊C4—2441no—
1554C22⋊C4—22no—
1555C22⋊C4—22no—
1556C22⋊C4—22no—
1557C22⋊C4—22no—
1558C22⋊C4—22no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—41no—
1562C22⋊C4—41no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—1222no—
1572C22⋊C4—1222no—
1573C22⋊C4—1222no—
1574C22⋊C4—1222no—
1575C22⋊C4—1222no—
1576C22⋊C4—1222no—
1577C22⋊C4—1222no—
1578C22⋊C4—1222no—
1579C22⋊C4—1222no—
1580C22⋊C4—1222no—
1581C22⋊C4—1222no—
1582C22⋊C4—1222no—
1583C22⋊C4—1222no—
1584C22⋊C4—1222no—
1585C22⋊C4—1222no—
1586C22⋊C4—1222no—
1587C22⋊C4—1222no—
1588C22⋊C4—1222no—
1589C22⋊C4—1222no—
1590C22⋊C4—1222no—
1591C22⋊C4—1222no—
1592C22⋊C4—2441no—
1593C22⋊C4—2441no—
1594C22⋊C4—2441no—
1595C22⋊C4—2441no—
1596C22⋊C4—2441no—
1597C22⋊C4—2441no—
1598C22⋊C4—2441no—
1599C22⋊C4—2441no—
1600C22⋊C4—2441no—
1601C22⋊C4—2441no—
1602C22⋊C4—2441no—
1603C22⋊C4—2441no—
1604C22⋊C4—2441no—
1605C22⋊C4—2441no—
1606C22⋊C4—2441no—
1607C22⋊C4—2441no—
1608C22⋊C4—2441no—
1609C22⋊C4—2441no—
1610C22⋊C4—2441no—
1611C22⋊C4—2441no—
1612C22⋊C4—2441no—
1613C22⋊C4—2441no—
1614C22⋊C4—2441no—
1615C22⋊C4—2441no—
1616C22⋊C4—2441no—
1617C22⋊C4—2441no—
1618C42—41no—
1619C42—2441no—
1620C42—2441no—
1621C42—2441no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—44no—
1656C23—82no—
1657C23—82no—
1658C23—82no—
1659C23—82no—
1660C23—82no—
1661C23—82no—
1662C23—612no—
1663C23—612no—
1664C23—612no—
1665C23—612no—
1666C23—612no—
1667C23—1228no—
1668C23—1228no—
1669C23—1221no—
1670C23—1221no—
1671C23—1221no—
1672C23—1221no—
1673C23—1221no—
1674C23—1221no—
1675C23—1221no—
1676C23—1221no—
1677C23—1221no—
1678C23—1221no—
1679C23—1221no—
1680C23—1221no—
1681C23—1221no—
1682C23—1221no—
1683C23—1221no—
1684C23—1221no—
1685C23—1221no—
1686C23—1221no—
1687C23—1221no—
1688C23—1221no—
1689C23—1221no—
1690C23—1221no—
1691C23—1221no—
1692C23—4882no—
1693C23—4882no—
1694C23—4882no—
1695C23—4882no—
1696C23—4882no—
1697C23—4882no—
1698C23—4882no—
1699C23—4882no—
1700C23—2444no—
1701C23—2444no—
1702C23—2444no—
1703C23—2444no—
1704C23—2444no—
1705C23—2444no—
1706C23—2444no—
1707C23—2444no—
1708C23—2444no—
1709C23—2444no—
1710C23—2444no—
1711C23C2×D4×D6112yes—
1712C23C2×D4×D6112yes—
1713C23C24×D6111yescharacteristic
1714D4—44no—
1715D4—44no—
1716D4—44no—
1717D4—82no—
1718D4—82no—
1719D4—82no—
1720D4—82no—
1721D4—4882no—
1722D4—4882no—
1723D4—4882no—
1724D4—4882no—
1725D4—2444no—
1726D4—2444no—
1727D4—2444no—
1728D4—2444no—
1729D4—2444no—
1730D4—2444no—
1731D4—2444no—
1732D4—2444no—
1733D4—2444no—
1734D4—2444no—
1735D4—2444no—
1736D4—2444no—
1737D4—2444no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—44no—
1767C2×C4—612no—
1768C2×C4—612no—
1769C2×C4—1228no—
1770C2×C4—1228no—
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—1221no—
1787C2×C4—1221no—
1788C2×C4—1221no—
1789C2×C4—1221no—
1790C2×C4—1221no—
1791C2×C4—1221no—
1792C2×C4—1221no—
1793C2×C4—1221no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—1221no—
1797C2×C4—1221no—
1798C2×C4—1221no—
1799C2×C4—1221no—
1800C2×C4—1221no—
1801C2×C4—1221no—
1802C2×C4—1221no—
1803C2×C4—1221no—
1804C2×C4—1221no—
1805C2×C4—4882no—
1806C2×C4—4882no—
1807C2×C4—2444no—
1808C2×C4—2444no—
1809C2×C4—2444no—
1810C2×C4—2444no—
1811C2×C4—2444no—
1812C2×C4—2444no—
1813C2×C4C2×D4×D6112yes—
1814C2×C4#1451982212yes—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—41no—
1822C22—41no—
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—88no—
1851C22—614no—
1852C22—1222no—
1853C22—1222no—
1854C22—1222no—
1855C22—1222no—
1856C22—1222no—
1857C22—1222no—
1858C22—1222no—
1859C22—1222no—
1860C22—1222no—
1861C22—1222no—
1862C22—1222no—
1863C22—1222no—
1864C22—4888no—
1865C22—4888no—
1866C22—24416no—
1867C22—2441no—
1868C22—2441no—
1869C22—2441no—
1870C22—2441no—
1871C22—2441no—
1872C22—2441no—
1873C22—2441no—
1874C22—2441no—
1875C22—2441no—
1876C22—2441no—
1877C22—2441no—
1878C22—2441no—
1879C22—2441no—
1880C22—2441no—
1881C22—2441no—
1882C22C22×D4×D6111yescharacteristic
1883C22H(5,𝔽2)×D6111yescharacteristic
1884C22H(5,𝔽2)×D6111yescharacteristic
1885C22H(5,𝔽2)×D6111yescharacteristic
1886C22C2×#1451982211yescharacteristic
1887C22#1684059711yescharacteristic
1888C22#1684059811yescharacteristic
1889C4—22no—
1890C4—22no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—1222no—
1900C4—1222no—
1901C4—2441no—
1902C4—2441no—
1903C4—2441no—
1904C4—2441no—
1905C4—2441no—
1906C4—2441no—
1907C4—2441no—
1908C4—2441no—
1909C4—2441no—
1910C4—2441no—
1911C2—42no—
1912C2—42no—
1913C2—81no—
1914C2—81no—
1915C2—81no—
1916C2—1224no—
1917C2—4881no—
1918C2—2442no—
1919C2—2442no—
1920C2#534×D6111yescharacteristic
1921C2#2145944711yescharacteristic
1922C2#2145945611yescharacteristic
1923C2#2146012411yescharacteristic
1924C2#2146013311yescharacteristic
1925C2#2146013411yescharacteristic
1926C2#2146013711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2678C2
hypercenter#2678D61
hypocenterC61#36715
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#16840322C2semidirect
2. C2×#121×D61C2semidirect
3. #21454110C2semidirect
4. #21454108C2semidirect
5. #21452439C2semidirect
6. #21452437C2semidirect
7. #21452430C2semidirect
8. #21452428C2semidirect
9. #21452409C2semidirect
10. #21452408C2semidirect
11. #21452403C2semidirect
12. #21452401C2semidirect
13. #21452186C2semidirect
14. #21452184C2semidirect
15. #21452182C2semidirect
16. #21452179C2semidirect
17. #21452148C2semidirect
18. #21452144C2semidirect
19. #21452140C2semidirect
20. #21451530C2semidirect
21. #21451530C2semidirect
22. #21450096C2semidirect
23. #21449225C2semidirect
24. #21449221C2semidirect
25. #21449201C2semidirect
26. #21449197C2semidirect
27. #21449144C2semidirect
28. #21449141C2semidirect
29. #21449130C2semidirect
30. #21448398C2semidirect
31. C61×#2678C2semidirect
35. C22×D4×D61C22semidirect
36. C23×C4×D61C22semidirect
38. C2×#14519762C22semidirect
39. C2×#14519761C22semidirect
44. C2×#14519759C22semidirect
45. C2×#14519759C22semidirect
46. C2×#14519759C22semidirect
47. C2×#14519758C22semidirect
48. C2×#14519758C22semidirect
49. C2×#14519752C22semidirect
50. C2×#14519751C22semidirect
52. C2×#14519750C22semidirect
53. C2×#14519750C22semidirect
54. C2×#14519750C22semidirect
56. C2×#14519749C22semidirect
58. C2×#14519748C22semidirect
59. C2×#14519748C22semidirect
61. C2×#14519746C22semidirect
62. C2×#14519746C22semidirect
67. C2×#14519735C22semidirect
68. C2×#14519734C22semidirect
69. C2×C4⋊C4×D61C22semidirect
72. C2×C22⋊C4×D61C22semidirect
73. #16839696C22semidirect
74. #16839695C22semidirect
75. #16839694C22semidirect
76. #16839692C22semidirect
77. #16839690C22semidirect
78. #16839690C22semidirect
79. #16839687C22semidirect
80. #16839685C22semidirect
81. #16839685C22semidirect
82. #16839685C22semidirect
83. #16839685C22semidirect
84. #16839685C22semidirect
85. #16839684C22semidirect
86. #16839684C22semidirect
87. #16839680C22semidirect
88. #16839680C22semidirect
89. #16839678C22semidirect
90. #16839678C22semidirect
91. #16839678C22semidirect
92. #16839678C22semidirect
93. #16839678C22semidirect
94. #16839678C22semidirect
95. #16839678C22semidirect
96. #16839678C22semidirect
97. #16839677C22semidirect
98. #16839677C22semidirect
99. #16839677C22semidirect
100. #16839677C22semidirect
101. #16839676C22semidirect
102. #16839676C22semidirect
103. #16839676C22semidirect
104. #16839676C22semidirect
105. #16839671C22semidirect
106. #16839671C22semidirect
107. #16839671C22semidirect
108. #16839671C22semidirect
109. #16839670C22semidirect
110. #16839670C22semidirect
111. #16839670C22semidirect
112. #16839670C22semidirect
113. #16839670C22semidirect
114. #16839670C22semidirect
115. #16839665C22semidirect
116. #16839665C22semidirect
117. #16839664C22semidirect
118. #16839663C22semidirect
119. #16839662C22semidirect
120. #16839662C22semidirect
121. #16839662C22semidirect
122. #16839662C22semidirect
123. #16839662C22semidirect
124. #16839662C22semidirect
125. #16839661C22semidirect
126. #16839660C22semidirect
127. #16839659C22semidirect
128. #16839657C22semidirect
129. #16839656C22semidirect
130. #16839656C22semidirect
131. #16839655C22semidirect
132. #16839655C22semidirect
133. #16839654C22semidirect
134. #16839653C22semidirect
135. #16839650C22semidirect
136. #16839642C22semidirect
137. #16839642C22semidirect
138. #16839640C22semidirect
139. #16839639C22semidirect
144. #16839638C22semidirect
145. #16839638C22semidirect
146. #16839638C22semidirect
147. #16839637C22semidirect
148. #16839637C22semidirect
149. #16839636C22semidirect
150. #16839636C22semidirect
151. #16839636C22semidirect
152. #16839635C22semidirect
153. #16839634C22semidirect
154. #16839633C22semidirect
155. #16839633C22semidirect
156. #16839633C22semidirect
157. #16839633C22semidirect
158. #16839633C22semidirect
159. #16839625C22semidirect
160. #16839624C22semidirect
161. #16839624C22semidirect
162. #16839624C22semidirect
163. #16839624C22semidirect
164. #16839624C22semidirect
165. #16839624C22semidirect
166. #16839623C22semidirect
167. #16839618C22semidirect
170. #16839617C22semidirect
171. #16839617C22semidirect
172. #16839617C22semidirect
173. #16839617C22semidirect
174. C2×#123×C61C22semidirect
176. C2×#120×C61C22semidirect
177. C2×#120×C61C22semidirect
178. C61×#397C22semidirect
179. C61×#396C22semidirect
180. C61×#394C22semidirect
181. C61×#394C22semidirect
182. C61×#392C22semidirect
183. C61×#392C22semidirect
184. C61×#390C22semidirect
185. C61×#390C22semidirect
186. C61×#388C22semidirect
187. C61×#386C22semidirect
188. C61×#379C22semidirect
220. C2×D4×D61D4semidirect
967. #2678D61semidirect
1012. C2×#123C2×D61semidirect
1032. C2×#120C2×D61semidirect
1033. C2×#120C2×D61semidirect
1047. #397C2×D61semidirect
1055. #396C2×D61semidirect
1074. #394C2×D61semidirect
1075. #394C2×D61semidirect
1086. #392C2×D61semidirect
1087. #392C2×D61semidirect
1098. #390C2×D61semidirect
1099. #390C2×D61semidirect
1111. #388C2×D61semidirect
1123. #386C2×D61semidirect
1151. #379C2×D61semidirect
1152. C61#36715semidirect

Maximal subgroups

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

subgroupindex
C2×#168403222
C2×#121×D612
#214541102
#214541082
#214524392
#214524372
#214524302
#214524282
#214524092
#214524082
#214524032
#214524012
#214521862
#214521842
#214521822
#214521792
#214521482
#214521442
#214521402
#214515302
#214500962
#214492252
#214492212
#214492012
#214491972
#214491442
#214491412
#214491302
#214483982
C61×#26782
#3671561