Finite Group Databasebeta

← #29886901

Subgroups — #29886901

Order 15616.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840364C211yesmaximal, characteristic, complemented
2C2×#16840271C211yesmaximal, characteristic, complemented
3#21454114C211yesmaximal, characteristic, complemented
4#21454100C211yesmaximal, characteristic, complemented
5#21452336C211yesmaximal, characteristic, complemented
6#21452323C211yesmaximal, characteristic, complemented
7#21452282C211yesmaximal, characteristic, complemented
8#21452248C211yesmaximal, characteristic, complemented
9#21452237C211yesmaximal, characteristic, complemented
10#21452139C211yesmaximal, characteristic, complemented
11#21452117C211yesmaximal, characteristic, complemented
12#21452108C211yesmaximal, characteristic, complemented
13#21452086C211yesmaximal, characteristic, complemented
14#21452078C211yesmaximal, characteristic, complemented
15#21452067C211yesmaximal, characteristic, complemented
16#21452048C211yesmaximal, characteristic, complemented
17#21452048C211yesmaximal, characteristic, complemented
18#21452034C211yesmaximal, characteristic, complemented
19#21452030C211yesmaximal, characteristic, complemented
20#21452026C211yesmaximal, characteristic, complemented
21#21451710C211yesmaximal, characteristic, complemented
22#21451668C211yesmaximal, characteristic, complemented
23#21451498C211yesmaximal, characteristic, complemented
24#21451384C211yesmaximal, characteristic, complemented
25#21451383C211yesmaximal, characteristic, complemented
26#21450775C211yesmaximal, characteristic, complemented
27#21450719C211yesmaximal, characteristic, complemented
28#21449438C211yesmaximal, characteristic, complemented
29#21449431C211yesmaximal, characteristic, complemented
30#21448446C211yesmaximal, characteristic, complemented
31C61×#2602C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34#16840364—28no—
35C2×#14519774C2211yescharacteristic
36C2×#14519773C2211yescharacteristic
37C2×#14519767C2211yescharacteristic, complemented
38C2×#14519765C2211yescharacteristic, complemented
39#16840271—28no—
40C2×#14519762C2211yescharacteristic
41C2×#14519762C2211yescharacteristic
42C2×#14519762C2211yescharacteristic
43C2×#14519761C2211yescharacteristic
44C2×#14519759C2211yescharacteristic
45C2×#14519759C2211yescharacteristic, complemented
46C2×#14519755C2211yescharacteristic
47C2×#14519754C2211yescharacteristic
48C2×#14519752C2211yescharacteristic
49C2×#14519751C2211yescharacteristic, complemented
50C2×#14519750C2211yescharacteristic
51C2×#14519750C2211yescharacteristic
52C2×#14519750C2211yescharacteristic
53C2×#14519750C2211yescharacteristic
54C2×#14519750C2211yescharacteristic
55C2×#14519750C2211yescharacteristic, complemented
56C2×#14519749C2211yescharacteristic
57C2×#14519749C2211yescharacteristic
58C2×#14519749C2211yescharacteristic
59C2×#14519749C2211yescharacteristic
60C2×#14519749C2211yescharacteristic
61C2×#14519749C2211yescharacteristic
62C2×#14519749C2211yescharacteristic, complemented
63C2×#14519749C2211yescharacteristic, complemented
64C2×#14519747C2211yescharacteristic
65C2×#14519747C2211yescharacteristic
66C2×#14519747C2211yescharacteristic
67C2×#14519745C2211yescharacteristic
68C2×#14519745C2211yescharacteristic
69C2×C4×D244C2211yescharacteristic
70C2×C4×C22⋊D61C2211yescharacteristic
71C2×C4×C22⋊D61C2211yescharacteristic
72C2×#14519737C2211yescharacteristic, complemented
73C2×#14519735C2211yescharacteristic, complemented
74C2×#14519734C2211yescharacteristic
75#16839704C2211yescharacteristic, complemented
76#16839704C2211yescharacteristic, complemented
77#16839703C2211yescharacteristic, complemented
78#16839697C2211yescharacteristic
79#16839697C2211yescharacteristic, complemented
80#16839697C2211yescharacteristic, complemented
81#16839696C2211yescharacteristic, complemented
82#16839696C2211yescharacteristic, complemented
83#16839692C2211yescharacteristic, complemented
84#16839691C2211yescharacteristic
85#16839691C2211yescharacteristic, complemented
86#16839690C2211yescharacteristic
87#16839687C2211yescharacteristic
88#16839686C2211yescharacteristic, complemented
89#16839686C2211yescharacteristic, complemented
90#16839684C2211yescharacteristic
91#16839684C2211yescharacteristic, complemented
92#16839682C2211yescharacteristic, complemented
93#16839680C2211yescharacteristic
94#16839680C2211yescharacteristic
95#16839680C2211yescharacteristic, complemented
96#16839679C2211yescharacteristic
97#16839679C2211yescharacteristic
98#16839679C2211yescharacteristic
99#16839679C2211yescharacteristic, complemented
100#16839678C2211yescharacteristic
101#16839678C2211yescharacteristic, complemented
102#16839677C2211yescharacteristic
103#16839677C2211yescharacteristic, complemented
104#16839674C2211yescharacteristic, complemented
105#16839672C2211yescharacteristic
106#16839672C2211yescharacteristic
107#16839671C2211yescharacteristic
108#16839671C2211yescharacteristic
109#16839671C2211yescharacteristic
110#16839671C2211yescharacteristic
111#16839671C2211yescharacteristic
112#16839671C2211yescharacteristic
113#16839671C2211yescharacteristic
114#16839671C2211yescharacteristic, complemented
115#16839671C2211yescharacteristic, complemented
116#16839671C2211yescharacteristic, complemented
117#16839671C2211yescharacteristic, complemented
118#16839670C2211yescharacteristic
119#16839668C2211yescharacteristic, complemented
120#16839664C2211yescharacteristic
121#16839656C2211yescharacteristic
122#16839653C2211yescharacteristic
123#16839653C2211yescharacteristic
124#16839653C2211yescharacteristic, complemented
125#16839653C2211yescharacteristic, complemented
126#16839652C2211yescharacteristic, complemented
127#16839651C2211yescharacteristic
128#16839646C2211yescharacteristic, complemented
129#16839646C2211yescharacteristic, complemented
130#16839644C2211yescharacteristic, complemented
131#16839641C2211yescharacteristic
132#16839641C2211yescharacteristic
133#16839640C2211yescharacteristic
134#16839640C2211yescharacteristic
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic
137#16839640C2211yescharacteristic
138#16839640C2211yescharacteristic
139#16839640C2211yescharacteristic, complemented
140#16839640C2211yescharacteristic, complemented
141#16839640C2211yescharacteristic, complemented
142#16839639C2211yescharacteristic
143#16839639C2211yescharacteristic
144#16839639C2211yescharacteristic
145#16839639C2211yescharacteristic
146#16839639C2211yescharacteristic
147#16839639C2211yescharacteristic, complemented
148#16839639C2211yescharacteristic, complemented
149#16839639C2211yescharacteristic, complemented
150#16839638C2211yescharacteristic
151#16839638C2211yescharacteristic
152#16839638C2211yescharacteristic
153#16839638C2211yescharacteristic, complemented
154#16839634C2211yescharacteristic
155#16839634C2211yescharacteristic, complemented
156#16839634C2211yescharacteristic, complemented
157#16839634C2211yescharacteristic, complemented
158#16839633C2211yescharacteristic
159#16839633C2211yescharacteristic
160#16839633C2211yescharacteristic, complemented
161#16839633C2211yescharacteristic, complemented
162#16839633C2211yescharacteristic, complemented
163#16839629C2211yescharacteristic, complemented
164#16839626C2211yescharacteristic, complemented
165#16839624C2211yescharacteristic
166#16839624C2211yescharacteristic
167#16839621C2211yescharacteristic
168#16839621C2211yescharacteristic
169#16839621C2211yescharacteristic, complemented
170#16839620C2211yescharacteristic
171#16839620C2211yescharacteristic, complemented
172#16839617C2211yescharacteristic
173C2×#14519684C2211yescharacteristic, complemented
174C2×#123×C61C2211yescharacteristic, complemented
175C2×C4×D4×C61C2211yescharacteristic
176C61×#397C2211yescharacteristic, complemented
177C61×#394C2211yescharacteristic
178C61×#394C2211yescharacteristic, complemented
179C61×#392C2211yescharacteristic
180C61×#390C2211yescharacteristic
181C61×#389C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic
183C61×#388C2211yescharacteristic, complemented
184C61×#388C2211yescharacteristic, complemented
185C61×#387C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic
187C61×#385C2211yescharacteristic
188C4×C22⋊C4×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C2×#11758222—24no—
191C2×#11758222—42no—
192C2×#11758222—42no—
193C22×Dic122C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×D244C2311yescharacteristic
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
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C22×C22⋊D61C2311yescharacteristic
215C22×C22⋊D61C2311yescharacteristic
216C23×Dic61C2311yescharacteristic
217C23×Dic61C2311yescharacteristic
218C23×Dic61C2311yescharacteristic
219C23×Dic61C2311yescharacteristic
220C22×C4×D61—24no—
221C22×C4×D61—42no—
222C22×C4×D61—42no—
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230#14519774—42no—
231#14519773—24no—
232#14519767—24no—
233#14519765—42no—
234#14519762—24no—
235#14519762—24no—
236#14519762—42no—
237#14519761—24no—
238#14519759—24no—
239#14519759—24no—
240#14519755—24no—
241#14519754—24no—
242#14519752—24no—
243#14519751—24no—
244#14519750—24no—
245#14519750—24no—
246#14519750—24no—
247#14519750—24no—
248#14519750—42no—
249#14519750—42no—
250#14519749—24no—
251#14519749—24no—
252#14519749—42no—
253#14519749—42no—
254#14519749—42no—
255#14519749—42no—
256#14519749—42no—
257#14519749—42no—
258#14519747—24no—
259#14519747—42no—
260#14519747—42no—
261#14519745—24no—
262#14519745—42no—
263C4×D244—24no—
264C4×C22⋊D61—24no—
265C4×C22⋊D61D418yescomplemented
266#14519737—24no—
267#14519735—24no—
268#14519734—24no—
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
284C2×#11758196C2311yescharacteristic
285C2×#11758196C2311yescharacteristic
286C2×#11758196C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
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×C4×Dic61C2311yescharacteristic
329C2×C4×Dic61C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
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
354C22×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C23×C4×C61C2311yescharacteristic
359#123×C61—24no—
360C4×D4×C61—24no—
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊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×C42×C61C2311yescharacteristic
381C2×C42×C61C2311yescharacteristic
382C2×C42×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—41no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C23×D61C2411yescharacteristic
405C23×D61C2411yescharacteristic
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—41no—
411C2×D4×C61—41no—
412C2×D4×C61—41no—
413C2×D4×C61—41no—
414C2×D4×C61—41no—
415C22×C4×C61—22no—
416C22×C4×C61—41no—
417C22×C4×C61—41no—
418C22×C4×C61—41no—
419C22×C4×C61—41no—
420C22×C4×C61C2×D414yes—
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—22no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61—41no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
458C2×C22⋊D61—41no—
459C2×C22⋊D61—41no—
460C2×C22⋊D61—41no—
461C2×C22⋊D61—41no—
462C2×C22⋊D61—41no—
463C2×C22⋊D61—41no—
464C2×C22⋊D61—41no—
465C2×C22⋊D61—41no—
466C2×C22⋊D61—41no—
467C2×C22⋊D61—41no—
468C2×C22⋊D61—41no—
469C2×C22⋊D61—41no—
470C2×C22⋊D61—41no—
471C2×C22⋊D61C2×D414yes—
472C22×Dic61—22no—
473C22×Dic61—22no—
474C22×Dic61—22no—
475C22×Dic61—41no—
476C22×Dic61—41no—
477C22×Dic61—41no—
478C22×Dic61—41no—
479C22×Dic61—41no—
480C22×Dic61—41no—
481C22×Dic61—41no—
482C22×Dic61—41no—
483C22×Dic61—41no—
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C22×Dic61C2411yescharacteristic
487C22×Dic61C2411yescharacteristic
488C22×Dic61C2411yescharacteristic
489C22×Dic61C2411yescharacteristic
490C22×Dic61C2411yescharacteristic
491C22×Dic61C2411yescharacteristic
492C22×Dic61C2411yescharacteristic
493C22×Dic61C2411yescharacteristic
494C22×Dic61C2411yescharacteristic
495#11758222—416no—
496C2×D244—22no—
497C2×D244—22no—
498C2×D244—22no—
499C2×D244—22no—
500C2×D244—22no—
501C2×D244—22no—
502C2×D244—22no—
503C2×D244—22no—
504C2×D244—41no—
505C2×D244—41no—
506C2×D244—41no—
507C2×D244—41no—
508C2×D244—41no—
509C2×D244—41no—
510C2×D244—41no—
511C2×D244—41no—
512C2×D244—41no—
513C2×D244—41no—
514C2×D244—41no—
515C2×D244—41no—
516C2×D244—41no—
517C2×D244—41no—
518C2×D244—41no—
519C2×D244—41no—
520C2×D244—41no—
521C2×D244—41no—
522C2×D244—41no—
523C2×C4×D61—22no—
524C2×C4×D61—22no—
525C2×C4×D61—22no—
526C2×C4×D61—22no—
527C2×C4×D61—22no—
528C2×C4×D61—22no—
529C2×C4×D61—22no—
530C2×C4×D61—22no—
531C2×C4×D61—22no—
532C2×C4×D61—22no—
533C2×C4×D61—416no—
534C2×C4×D61—41no—
535C2×C4×D61—41no—
536C2×C4×D61—41no—
537C2×C4×D61—41no—
538C2×C4×D61—41no—
539C2×C4×D61—41no—
540C2×C4×D61—41no—
541C2×C4×D61—41no—
542C2×C4×D61—41no—
543C2×C4×D61—41no—
544C2×C4×D61C2×D414yes—
545C2×Dic122—22no—
546C2×Dic122—22no—
547C2×Dic122—41no—
548C4⋊C4×C61—22no—
549C4⋊C4×C61—22no—
550C4⋊C4×C61—22no—
551C4⋊C4×C61—41no—
552C4⋊C4×C61—41no—
553C4⋊C4×C61—41no—
554C22⋊C4×C61—22no—
555C22⋊C4×C61—22no—
556C22⋊C4×C61—22no—
557C22⋊C4×C61—22no—
558C22⋊C4×C61—22no—
559C22⋊C4×C61—22no—
560C22⋊C4×C61—41no—
561C22⋊C4×C61—41no—
562C22⋊C4×C61—41no—
563C22⋊C4×C61—41no—
564C22⋊C4×C61—41no—
565C22⋊C4×C61—41no—
566C22⋊C4×C61—41no—
567C42×C61—22no—
568C42×C61—41no—
569C42×C61—41no—
570C22⋊Dic61—22no—
571C22⋊Dic61—22no—
572C22⋊Dic61—22no—
573C22⋊Dic61—22no—
574C22⋊Dic61—41no—
575C22⋊Dic61C2×D414yes—
576#11758198—22no—
577#11758198—22no—
578#11758198—22no—
579#11758198—22no—
580#11758198—22no—
581#11758198—22no—
582#11758198—22no—
583#11758198—22no—
584#11758198—22no—
585#11758198—22no—
586#11758198—22no—
587#11758198—22no—
588#11758198—22no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592#11758198—41no—
593#11758198—41no—
594#11758198—41no—
595#11758198—41no—
596#11758198—41no—
597#11758198—41no—
598#11758198—41no—
599#11758198—41no—
600#11758198—41no—
601#11758198—41no—
602#11758198—41no—
603#11758198—41no—
604#11758198—41no—
605#11758198—41no—
606#11758198—41no—
607#11758198—41no—
608#11758198—41no—
609#11758198—41no—
610#11758198C2×D414yes—
611C4⋊Dic61—22no—
612C4⋊Dic61—22no—
613C4⋊Dic61—22no—
614#11758196—22no—
615#11758196—22no—
616#11758196—22no—
617#11758196—22no—
618#11758196—22no—
619#11758196—22no—
620#11758196—22no—
621#11758196—41no—
622#11758196—41no—
623#11758196—41no—
624#11758196—41no—
625#11758196—41no—
626#11758196—41no—
627#11758196—41no—
628#11758196C2×D414yes—
629C4×Dic61—22no—
630C4×Dic61C2×D414yes—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
647C23×C61—21no—
648C23×C61—21no—
649C23×C61—21no—
650C23×C61C22×D412yes—
651C23×C61H(5,𝔽2)12yes—
652C23×C61C2511yescharacteristic
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—21no—
671C22×D61—21no—
672C22×D61—21no—
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—44no—
687C22×D61—44no—
688C22×D61—44no—
689C22×D61—44no—
690C22×D61—44no—
691C22×D61—44no—
692C22×D61—44no—
693C22×D61C22×D412yes—
694C22×D61H(5,𝔽2)12yes—
695D4×C61—44no—
696D4×C61—82no—
697D4×C61—82no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—44no—
733C2×C4×C61—44no—
734C2×C4×C61C22×D412yes—
735C2×C4×C61C22×D412yes—
736C22⋊D61—44no—
737C22⋊D61—44no—
738C22⋊D61—44no—
739C22⋊D61—44no—
740C22⋊D61—44no—
741C22⋊D61—82no—
742C22⋊D61—82no—
743C22⋊D61—82no—
744C22⋊D61—82no—
745C22⋊D61—82no—
746C22⋊D61—82no—
747C22⋊D61—82no—
748C22⋊D61—82no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—44no—
779C2×Dic61—82no—
780C2×Dic61—82no—
781C2×Dic61—82no—
782C2×Dic61C22×D412yes—
783C2×Dic61C22×D412yes—
784C2×Dic61C22×D412yes—
785C2×Dic61H(5,𝔽2)12yes—
786D244—44no—
787D244—44no—
788D244—82no—
789D244—82no—
790D244—82no—
791D244—82no—
792D244—82no—
793D244—82no—
794D244—82no—
795C4×D61—28no—
796C4×D61—44no—
797C4×D61—44no—
798C4×D61—44no—
799C4×D61—44no—
800C4×D61—44no—
801C4×D61—82no—
802Dic122—44no—
803#36713—611nomaximal, Sylow
804C22×C61—22no—
805C22×C61—22no—
806C22×C61—22no—
807C22×C61—22no—
808C22×C61—22no—
809C22×C61—22no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61C23×D411yescharacteristic
826C22×C61C2×H(5,𝔽2)11yescharacteristic
827C22×C61C2×H(5,𝔽2)11yescharacteristic
828C22×C61C2×H(5,𝔽2)11yescharacteristic
829C22×C61#58511yescharacteristic
830C22×C61#58511yescharacteristic
831C22×C61#58511yescharacteristic
832C2×D61—22no—
833C2×D61—22no—
834C2×D61—22no—
835C2×D61—22no—
836C2×D61—22no—
837C2×D61—22no—
838C2×D61—416no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—41no—
866C2×D61—41no—
867C2×D61—41no—
868C4×C61—22no—
869C4×C61—22no—
870C4×C61—41no—
871C4×C61—41no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61—41no—
878C4×C61—41no—
879C4×C61—41no—
880Dic61—22no—
881Dic61—22no—
882Dic61—22no—
883Dic61—22no—
884Dic61—41no—
885Dic61—41no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890Dic61—41no—
891C2×#540—611no—
892C2×#525—611no—
893#2849—611no—
894#2847—611no—
895#2694—611no—
896#2693—611no—
897#2690—611no—
898#2688—611no—
899#2687—611no—
900#2678—611no—
901#2676—611no—
902#2675—611no—
903#2673—611no—
904#2673—611no—
905#2672—611no—
906#2671—611no—
907#2671—611no—
908#2669—611no—
909#2669—611no—
910#2668—611no—
911#2635—611no—
912#2630—611no—
913#2609—611no—
914#2602D6111yescharacteristic, complemented
915#2598—611no—
916#2598—611no—
917#2543—611no—
918#2535—611no—
919#2431—611no—
920#2430—611no—
921#2318—611no—
922C2×C61—42no—
923C2×C61—42no—
924C2×C61—81no—
925C2×C61#344911yescharacteristic
926C2×C61#348411yescharacteristic
927C2×C61#348811yescharacteristic
928C2×C61#353311yescharacteristic
929C2×C61#353411yescharacteristic
930C2×C61#353911yescharacteristic
931C2×C61#354211yescharacteristic
932D61—42no—
933D61—42no—
934D61—81no—
935D61—81no—
936D61—81no—
937C22×#41—611no—
938C24×C4—611no—
939#540—1228no—
940C2×#127—611no—
941C2×#127—611no—
942C2×#125—611no—
943C2×#124—611no—
944#525—1228no—
945C2×#123—611no—
946C2×#123—611no—
947C2×#123—611no—
948C2×#123—611no—
949C2×#123—611no—
950C2×#123—611no—
951C2×#123C2×D6111yescharacteristic, complemented
952C2×C22⋊Q8—611no—
953C2×C22⋊Q8—611no—
954C2×#121—611no—
955C2×#121—611no—
956C2×#121—611no—
957C2×#121—611no—
958C2×#121—611no—
959C2×#121—611no—
960C2×#121—611no—
961C2×#121—611no—
962C2×#121—611no—
963C2×#121—611no—
964C2×#121—611no—
965C2×#121—611no—
966C2×#121—611no—
967C2×#121—611no—
968C2×#121—611no—
969C2×#121—611no—
970C2×#120—611no—
971C2×#120—611no—
972C2×#120—611no—
973C2×#120—611no—
974C2×#120—611no—
975C2×C4×D4—611no—
976C2×C4×D4—611no—
977C2×C4×D4—611no—
978C2×C4×D4—611no—
979C2×C4×D4C2×D6111yescharacteristic
980C2×#117—611no—
981C2×#117—611no—
982#400—611no—
983#400—611no—
984#400—611no—
985#399—611no—
986#399—611no—
987#399—611no—
988#398—611no—
989#398—611no—
990#398—611no—
991#397—611no—
992#397—611no—
993#397—611no—
994#397—611no—
995#397C2×D6111yescharacteristic, complemented
996#396—611no—
997#396—611no—
998#396—611no—
999#396—611no—
1000#395—611no—
1001#394—611no—
1002#394—611no—
1003#394—611no—
1004#394—611no—
1005#394—611no—
1006#394—611no—
1007#394—611no—
1008#394—611no—
1009#394—611no—
1010#394—611no—
1011#394—611no—
1012#394C2×D6111yescharacteristic
1013#394C2×D6111yescharacteristic, complemented
1014#393—611no—
1015#392—611no—
1016#392—611no—
1017#392—611no—
1018#392—611no—
1019#392—611no—
1020#392—611no—
1021#392—611no—
1022#392—611no—
1023#392—611no—
1024#392—611no—
1025#392—611no—
1026#392—611no—
1027#392—611no—
1028#392—611no—
1029#392C2×D6111yescharacteristic
1030#391—611no—
1031#390—611no—
1032#390C2×D6111yescharacteristic
1033#389C2×D6111yescharacteristic, complemented
1034#388—611no—
1035#388—611no—
1036#388—611no—
1037#388—611no—
1038#388—611no—
1039#388—611no—
1040#388—611no—
1041#388C2×D6111yescharacteristic
1042#388C2×D6111yescharacteristic, complemented
1043#388C2×D6111yescharacteristic, complemented
1044#387—611no—
1045#387—611no—
1046#387—611no—
1047#387C2×D6111yescharacteristic, complemented
1048#386—611no—
1049#386—611no—
1050#386—611no—
1051#386—611no—
1052#386—611no—
1053#386—611no—
1054#386—611no—
1055#386—611no—
1056#386—611no—
1057#386—611no—
1058#386—611no—
1059#386—611no—
1060#386—611no—
1061#386—611no—
1062#386—611no—
1063#386—611no—
1064#386—611no—
1065#386—611no—
1066#386—611no—
1067#386—611no—
1068#386—611no—
1069#386—611no—
1070#386—611no—
1071#386C2×D6111yescharacteristic
1072#385—611no—
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385—611no—
1080#385—611no—
1081#385C2×D6111yescharacteristic
1082#383—611no—
1083#382—611no—
1084#381—611no—
1085#381—611no—
1086#380—611no—
1087#380—611no—
1088#380—611no—
1089#380—611no—
1090#380—611no—
1091#379—611no—
1092C4×C22⋊C4C2×D6111yescharacteristic, complemented
1093C2×#95—611no—
1094C61#3671311yescharacteristic, complemented, Sylow
1095C25—611no—
1096C2×#41—1224no—
1097C2×#41—2442no—
1098C2×#41—2442no—
1099C22×Q8—611no—
1100C22×D4—611no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—611no—
1104C22×D4—611no—
1105C22×D4—611no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—611no—
1109C22×D4—611no—
1110C22×D4—611no—
1111C22×D4—611no—
1112C22×D4—611no—
1113C22×D4—611no—
1114C22×D4—611no—
1115C22×D4—611no—
1116C22×D4—611no—
1117C22×D4—611no—
1118C22×D4—611no—
1119C22×D4—611no—
1120C22×D4—611no—
1121C22×D4—611no—
1122C22×D4C22×D6111yescharacteristic
1123C22×D4C22×D6111yescharacteristic
1124C22×D4C22×D6111yescharacteristic
1125C23×C4—611no—
1126C23×C4—611no—
1127C23×C4—611no—
1128C23×C4—611no—
1129C23×C4—611no—
1130C23×C4—611no—
1131C23×C4—611no—
1132C23×C4—611no—
1133C23×C4—611no—
1134C23×C4—611no—
1135C23×C4—611no—
1136C23×C4—1224no—
1137C23×C4—2442no—
1138C23×C4—2442no—
1139C23×C4C22×D6111yescharacteristic
1140C23×C4C22×D6111yescharacteristic
1141#127—1224no—
1142#127—2442no—
1143#125—1224no—
1144#124—2442no—
1145#123—24no—
1146#123—1224no—
1147#123—1224no—
1148#123—1224no—
1149#123—1224no—
1150#123—1224no—
1151#123—2442no—
1152C22⋊Q8—1224no—
1153C22⋊Q8—1224no—
1154#121—1224no—
1155#121—1224no—
1156#121—1224no—
1157#121—1224no—
1158#121—1224no—
1159#121—1224no—
1160#121—1224no—
1161#121—1224no—
1162#121—2442no—
1163#121—2442no—
1164#121—2442no—
1165#121—2442no—
1166#121—2442no—
1167#121—2442no—
1168#121—2442no—
1169#121—2442no—
1170#120—1224no—
1171#120—1224no—
1172#120—2442no—
1173#120—2442no—
1174#120—2442no—
1175C4×D4—24no—
1176C4×D4—618no—
1177C4×D4—1224no—
1178C4×D4—1224no—
1179C4×D4—1224no—
1180#117—1224no—
1181#117—1224no—
1182C2×C4⋊C4—611no—
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—611no—
1187C2×C4⋊C4—611no—
1188C2×C4⋊C4—611no—
1189C2×C4⋊C4—611no—
1190C2×C4⋊C4—611no—
1191C2×C4⋊C4—611no—
1192C2×C4⋊C4—611no—
1193C2×C4⋊C4—611no—
1194C2×C4⋊C4—611no—
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4—611no—
1197C2×C4⋊C4—611no—
1198C2×C4⋊C4—611no—
1199C2×C4⋊C4—611no—
1200C2×C4⋊C4C22×D6111yescharacteristic
1201C2×C4⋊C4C22×D6111yescharacteristic
1202C2×C4⋊C4C22×D6111yescharacteristic
1203C2×C4⋊C4C22×D6111yescharacteristic
1204C2×C4⋊C4C22×D6111yescharacteristic
1205C2×C4⋊C4C22×D6111yescharacteristic
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊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⋊C4C22×D6111yescharacteristic
1248C2×C22⋊C4C22×D6111yescharacteristic
1249C2×C22⋊C4C22×D6111yescharacteristic
1250C2×C22⋊C4C22×D6111yescharacteristic
1251C2×C22⋊C4C22×D6111yescharacteristic
1252C2×C22⋊C4C22×D6111yescharacteristic
1253C2×C22⋊C4C22×D6111yescharacteristic
1254C2×C22⋊C4C22×D6111yescharacteristic
1255C2×C22⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4C22×D6111yescharacteristic
1257C2×C22⋊C4C22×D6111yescharacteristic
1258C2×C22⋊C4C22×D6111yescharacteristic
1259C2×C22⋊C4C22×D6111yescharacteristic
1260C2×C42—611no—
1261C2×C42—611no—
1262C2×C42C22×D6111yescharacteristic
1263C2×C42C22×D6111yescharacteristic
1264C2×C42C22×D6111yescharacteristic
1265#95—611no—
1266#95—611no—
1267#95—611no—
1268#95—611no—
1269#95—611no—
1270#95—611no—
1271#95—611no—
1272#95—611no—
1273#95—611no—
1274#95—611no—
1275#95—611no—
1276#95—611no—
1277#95—611no—
1278#95—611no—
1279#95—611no—
1280#95—611no—
1281#95—611no—
1282#95—611no—
1283#95—611no—
1284#95—611no—
1285#95—611no—
1286#95—611no—
1287#95—611no—
1288#95—611no—
1289#95C22×D6111yescharacteristic
1290#95C22×D6111yescharacteristic
1291#95C22×D6111yescharacteristic
1292#95C22×D6111yescharacteristic
1293#95C22×D6111yescharacteristic
1294#95C22×D6111yescharacteristic
1295#95C22×D6111yescharacteristic
1296#95C22×D6111yescharacteristic
1297C24—611no—
1298C24—611no—
1299C24—611no—
1300C24—611no—
1301C24—611no—
1302C24—1222no—
1303C24—1222no—
1304C24—1222no—
1305C24—2441no—
1306C24—2441no—
1307C24—2441no—
1308C24—2441no—
1309C24C23×D6111yescharacteristic
1310C24C23×D6111yescharacteristic
1311C24C23×D6111yescharacteristic
1312#41—24416no—
1313C2×Q8—1222no—
1314C2×Q8—1222no—
1315C2×Q8—2441no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—614no—
1326C2×D4—1222no—
1327C2×D4—1222no—
1328C2×D4—1222no—
1329C2×D4—1222no—
1330C2×D4—1222no—
1331C2×D4—1222no—
1332C2×D4—1222no—
1333C2×D4—1222no—
1334C2×D4—1222no—
1335C2×D4—1222no—
1336C2×D4—1222no—
1337C2×D4—1222no—
1338C2×D4—1222no—
1339C2×D4—1222no—
1340C2×D4—1222no—
1341C2×D4—1222no—
1342C2×D4—1222no—
1343C2×D4—1222no—
1344C2×D4—1222no—
1345C2×D4—1222no—
1346C2×D4—1222no—
1347C2×D4—1222no—
1348C2×D4—2441no—
1349C2×D4—2441no—
1350C2×D4—2441no—
1351C2×D4—2441no—
1352C2×D4—2441no—
1353C2×D4—2441no—
1354C2×D4—2441no—
1355C2×D4—2441no—
1356C2×D4—2441no—
1357C2×D4—2441no—
1358C2×D4—2441no—
1359C2×D4—2441no—
1360C2×D4—2441no—
1361C2×D4—2441no—
1362C2×D4—2441no—
1363C2×D4—2441no—
1364C2×D4—2441no—
1365C2×D4—2441no—
1366C2×D4—2441no—
1367C2×D4—2441no—
1368C2×D4—2441no—
1369C2×D4—2441no—
1370C2×D4—2441no—
1371C2×D4—2441no—
1372C2×D4—2441no—
1373C2×D4—2441no—
1374C2×D4—2441no—
1375C2×D4—2441no—
1376C2×D4—2441no—
1377C2×D4—2441no—
1378C2×D4—2441no—
1379C2×D4—2441no—
1380C2×D4—2441no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4—2441no—
1384C2×D4—2441no—
1385C2×D4—2441no—
1386C2×D4—2441no—
1387C2×D4—2441no—
1388C2×D4—2441no—
1389C2×D4—2441no—
1390C2×D4—2441no—
1391C22×C4—22no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—611no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—614no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—611no—
1404C22×C4—611no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—611no—
1408C22×C4—1222no—
1409C22×C4—1222no—
1410C22×C4—1222no—
1411C22×C4—1222no—
1412C22×C4—1222no—
1413C22×C4—1222no—
1414C22×C4—1222no—
1415C22×C4—1222no—
1416C22×C4—1222no—
1417C22×C4—1222no—
1418C22×C4—1222no—
1419C22×C4—1222no—
1420C22×C4—1222no—
1421C22×C4—2441no—
1422C22×C4—2441no—
1423C22×C4—2441no—
1424C22×C4—2441no—
1425C22×C4—2441no—
1426C22×C4—2441no—
1427C22×C4—2441no—
1428C22×C4—2441no—
1429C22×C4—2441no—
1430C22×C4—2441no—
1431C22×C4—24416no—
1432C22×C4—2441no—
1433C22×C4—2441no—
1434C22×C4—2441no—
1435C22×C4—2441no—
1436C22×C4—2441no—
1437C22×C4—2441no—
1438C22×C4—2441no—
1439C22×C4—2441no—
1440C22×C4—2441no—
1441C22×C4D4×D6114yes—
1442C22×C4C23×D6111yescharacteristic
1443C22×C4C23×D6111yescharacteristic
1444C22×C4C23×D6111yescharacteristic
1445C22×C4C23×D6111yescharacteristic
1446C22×C4C23×D6111yescharacteristic
1447C22×C4C23×D6111yescharacteristic
1448C22×C4C23×D6111yescharacteristic
1449C22×C4C23×D6111yescharacteristic
1450C22×C4C23×D6111yescharacteristic
1451C22×C4C23×D6111yescharacteristic
1452C22×C4C23×D6111yescharacteristic
1453C22×C4C23×D6111yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—614no—
1461C4⋊C4—1222no—
1462C4⋊C4—1222no—
1463C4⋊C4—1222no—
1464C4⋊C4—1222no—
1465C4⋊C4—1222no—
1466C4⋊C4—1222no—
1467C4⋊C4—1222no—
1468C4⋊C4—1222no—
1469C4⋊C4—1222no—
1470C4⋊C4—1222no—
1471C4⋊C4—2441no—
1472C4⋊C4—2441no—
1473C4⋊C4—2441no—
1474C4⋊C4—2441no—
1475C4⋊C4—2441no—
1476C4⋊C4—2441no—
1477C4⋊C4—2441no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—614no—
1492C22⋊C4—614no—
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—1222no—
1509C22⋊C4—1222no—
1510C22⋊C4—2441no—
1511C22⋊C4—2441no—
1512C22⋊C4—2441no—
1513C22⋊C4—2441no—
1514C22⋊C4—2441no—
1515C22⋊C4—2441no—
1516C22⋊C4—2441no—
1517C22⋊C4—2441no—
1518C22⋊C4—2441no—
1519C22⋊C4—2441no—
1520C22⋊C4—2441no—
1521C22⋊C4—2441no—
1522C22⋊C4—2441no—
1523C22⋊C4—2441no—
1524C22⋊C4—2441no—
1525C22⋊C4—2441no—
1526C22⋊C4—2441no—
1527C22⋊C4—2441no—
1528C22⋊C4—2441no—
1529C22⋊C4—2441no—
1530C22⋊C4—2441no—
1531C22⋊C4—2441no—
1532C42—22no—
1533C42—41no—
1534C42—41no—
1535C42—614no—
1536C42—1222no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—612no—
1557C23—612no—
1558C23—1221no—
1559C23—1221no—
1560C23—1221no—
1561C23—1221no—
1562C23—1221no—
1563C23—1221no—
1564C23—1221no—
1565C23—1221no—
1566C23—1221no—
1567C23—1221no—
1568C23—1221no—
1569C23—1221no—
1570C23—1221no—
1571C23—1221no—
1572C23—1221no—
1573C23—1221no—
1574C23—1221no—
1575C23—1221no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—1221no—
1580C23—1221no—
1581C23—1221no—
1582C23—1221no—
1583C23—1221no—
1584C23—1221no—
1585C23—1221no—
1586C23—1221no—
1587C23—1221no—
1588C23—1221no—
1589C23—1221no—
1590C23—1221no—
1591C23—2444no—
1592C23—2444no—
1593C23—2444no—
1594C23—2444no—
1595C23—2444no—
1596C23—2444no—
1597C23—2444no—
1598C23C2×D4×D6112yes—
1599C23#1451982312yes—
1600C23C24×D6111yescharacteristic
1601Q8—2444no—
1602D4—44no—
1603D4—82no—
1604D4—82no—
1605D4—4882no—
1606D4—4882no—
1607D4—4882no—
1608D4—4882no—
1609D4—4882no—
1610D4—4882no—
1611D4—4882no—
1612D4—4882no—
1613D4—4882no—
1614D4—4882no—
1615D4—4882no—
1616D4—4882no—
1617D4—4882no—
1618D4—4882no—
1619D4—4882no—
1620D4—2444no—
1621D4—2444no—
1622D4—2444no—
1623D4—2444no—
1624D4—2444no—
1625D4—2444no—
1626D4—2444no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—612no—
1664C2×C4—612no—
1665C2×C4—612no—
1666C2×C4—612no—
1667C2×C4—1228no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—1221no—
1671C2×C4—1221no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—1221no—
1697C2×C4—4882no—
1698C2×C4—4882no—
1699C2×C4—4882no—
1700C2×C4—4882no—
1701C2×C4—2444no—
1702C2×C4—2444no—
1703C2×C4—2444no—
1704C2×C4—2444no—
1705C2×C4—2444no—
1706C2×C4—2444no—
1707C2×C4C2×D4×D6112yes—
1708C2×C4C2×D4×D6112yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—1222no—
1731C22—1222no—
1732C22—1222no—
1733C22—1222no—
1734C22—1222no—
1735C22—1222no—
1736C22—24416no—
1737C22—2441no—
1738C22—2441no—
1739C22—2441no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22—2441no—
1752C22—2441no—
1753C22—2441no—
1754C22—2441no—
1755C22—2441no—
1756C22—2441no—
1757C22—2441no—
1758C22—2441no—
1759C22—2441no—
1760C22—2441no—
1761C22—2441no—
1762C22—2441no—
1763C22—2441no—
1764C22—2441no—
1765C22—2441no—
1766C22C22×D4×D6111yescharacteristic
1767C22H(5,𝔽2)×D6111yescharacteristic
1768C22H(5,𝔽2)×D6111yescharacteristic
1769C22C2×#1451982311yescharacteristic
1770C22#1684059811yescharacteristic
1771C22#1684059811yescharacteristic
1772C22#1684059811yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—1222no—
1786C4—1222no—
1787C4—1222no—
1788C4—1222no—
1789C4—2441no—
1790C4—2441no—
1791C4—2441no—
1792C4—2441no—
1793C4—2441no—
1794C4—2441no—
1795C4—2441no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—4881no—
1800C2—4881no—
1801C2—4881no—
1802C2—2442no—
1803C2—2442no—
1804C2#2145914611yescharacteristic
1805C2#2145945111yescharacteristic
1806C2#2145948011yescharacteristic
1807C2#2145999311yescharacteristic
1808C2#2145999611yescharacteristic
1809C2#2146006911yescharacteristic
1810C2#2146012811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2602C2
hypercenter#2602D61
hypocenterC61#36713
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2602

Complements

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

NH ≅ G/Ntype
1. C2×#16840364C2semidirect
2. C2×#16840271C2semidirect
3. #21454114C2semidirect
4. #21454100C2semidirect
5. #21452336C2semidirect
6. #21452323C2semidirect
7. #21452282C2semidirect
8. #21452248C2semidirect
9. #21452237C2semidirect
10. #21452139C2semidirect
11. #21452117C2semidirect
12. #21452108C2semidirect
13. #21452086C2semidirect
14. #21452078C2semidirect
15. #21452067C2semidirect
16. #21452048C2semidirect
17. #21452048C2semidirect
18. #21452034C2semidirect
19. #21452030C2semidirect
20. #21452026C2semidirect
21. #21451710C2semidirect
22. #21451668C2semidirect
23. #21451498C2semidirect
24. #21451384C2semidirect
25. #21451383C2semidirect
26. #21450775C2semidirect
27. #21450719C2semidirect
28. #21449438C2semidirect
29. #21449431C2semidirect
30. #21448446C2semidirect
31. C61×#2602C2semidirect
37. C2×#14519767C22semidirect
38. C2×#14519765C22semidirect
45. C2×#14519759C22semidirect
49. C2×#14519751C22semidirect
55. C2×#14519750C22semidirect
62. C2×#14519749C22semidirect
63. C2×#14519749C22semidirect
72. C2×#14519737C22semidirect
73. C2×#14519735C22semidirect
75. #16839704C22semidirect
76. #16839704C22semidirect
77. #16839703C22semidirect
79. #16839697C22semidirect
80. #16839697C22semidirect
81. #16839696C22semidirect
82. #16839696C22semidirect
83. #16839692C22semidirect
85. #16839691C22semidirect
88. #16839686C22semidirect
89. #16839686C22semidirect
91. #16839684C22semidirect
92. #16839682C22semidirect
95. #16839680C22semidirect
99. #16839679C22semidirect
101. #16839678C22semidirect
103. #16839677C22semidirect
104. #16839674C22semidirect
114. #16839671C22semidirect
115. #16839671C22semidirect
116. #16839671C22semidirect
117. #16839671C22semidirect
119. #16839668C22semidirect
124. #16839653C22semidirect
125. #16839653C22semidirect
126. #16839652C22semidirect
128. #16839646C22semidirect
129. #16839646C22semidirect
130. #16839644C22semidirect
139. #16839640C22semidirect
140. #16839640C22semidirect
141. #16839640C22semidirect
147. #16839639C22semidirect
148. #16839639C22semidirect
149. #16839639C22semidirect
153. #16839638C22semidirect
155. #16839634C22semidirect
156. #16839634C22semidirect
157. #16839634C22semidirect
160. #16839633C22semidirect
161. #16839633C22semidirect
162. #16839633C22semidirect
163. #16839629C22semidirect
164. #16839626C22semidirect
169. #16839621C22semidirect
171. #16839620C22semidirect
173. C2×#14519684C22semidirect
174. C2×#123×C61C22semidirect
176. C61×#397C22semidirect
178. C61×#394C22semidirect
181. C61×#389C22semidirect
183. C61×#388C22semidirect
184. C61×#388C22semidirect
185. C61×#387C22semidirect
188. C4×C22⋊C4×C61C22semidirect
265. C4×C22⋊D61D4semidirect
914. #2602D61semidirect
951. C2×#123C2×D61semidirect
995. #397C2×D61semidirect
1013. #394C2×D61semidirect
1033. #389C2×D61semidirect
1042. #388C2×D61semidirect
1043. #388C2×D61semidirect
1047. #387C2×D61semidirect
1092. C4×C22⋊C4C2×D61semidirect
1094. C61#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#168403642
C2×#168402712
#214541142
#214541002
#214523362
#214523232
#214522822
#214522482
#214522372
#214521392
#214521172
#214521082
#214520862
#214520782
#214520672
#214520482
#214520342
#214520302
#214520262
#214517102
#214516682
#214514982
#214513842
#214513832
#214507752
#214507192
#214494382
#214494312
#214484462
C61×#26022
#3671361