Finite Group Databasebeta

← #29846430

Subgroups — #29846430

Order 15616.

2982 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840270C211yesmaximal, characteristic, complemented
2C2×C4×D4×D61C211yesmaximal, characteristic, complemented
3#21451743C211yesmaximal, characteristic, complemented
4#21451740C211yesmaximal, characteristic, complemented
5#21451710C211yesmaximal, characteristic, complemented
6#21451707C211yesmaximal, characteristic, complemented
7#21451660C211yesmaximal, characteristic, complemented
8#21451658C211yesmaximal, characteristic, complemented
9#21451656C211yesmaximal, characteristic, complemented
10#21451637C211yesmaximal, characteristic, complemented
11#21451629C211yesmaximal, characteristic, complemented
12#21451593C211yesmaximal, characteristic, complemented
13#21451591C211yesmaximal, characteristic, complemented
14#21451566C211yesmaximal, characteristic, complemented
15#21451558C211yesmaximal, characteristic, complemented
16#21451532C211yesmaximal, characteristic, complemented
17#21451530C211yesmaximal, characteristic, complemented
18#21449077C211yesmaximal, characteristic, complemented
19#21449075C211yesmaximal, characteristic, complemented
20#21449064C211yesmaximal, characteristic, complemented
21#21449064C211yesmaximal, characteristic, complemented
22#21449060C211yesmaximal, characteristic, complemented
23#21449058C211yesmaximal, characteristic, complemented
24#21449033C211yesmaximal, characteristic, complemented
25#21449031C211yesmaximal, characteristic, complemented
26#21448346C211yesmaximal, characteristic, complemented
27#21448340C211yesmaximal, characteristic, complemented
28#21448324C211yesmaximal, characteristic, complemented
29#21448320C211yesmaximal, characteristic, complemented
30#21448201C211yesmaximal, characteristic, complemented
31C61×#2630C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic, complemented
33C22×D4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35C23×C4×D61C2211yescharacteristic
36#16840270—28no—
37C2×#14519762C2211yescharacteristic
38C2×#14519760C2211yescharacteristic, complemented
39C2×#14519759C2211yescharacteristic
40C2×#14519755C2211yescharacteristic
41C2×#14519755C2211yescharacteristic, complemented
42C2×#14519750C2211yescharacteristic
43C2×#14519750C2211yescharacteristic, complemented
44C2×#14519747C2211yescharacteristic
45C2×#14519747C2211yescharacteristic
46C2×#14519745C2211yescharacteristic
47C2×#14519745C2211yescharacteristic
48C2×C4×D244C2211yescharacteristic
49C2×D4×Dic61C2211yescharacteristic
50C2×D4×Dic61C2211yescharacteristic, complemented
51C2×#14519739C2211yescharacteristic
52C2×#14519739C2211yescharacteristic
53C2×#14519739C2211yescharacteristic, complemented
54C2×#14519739C2211yescharacteristic, complemented
55C2×C4×C22⋊D61C2211yescharacteristic
56C2×C4×C22⋊D61C2211yescharacteristic
57C2×#14519737C2211yescharacteristic
58C2×#14519737C2211yescharacteristic
59C2×#14519737C2211yescharacteristic
60C2×#14519737C2211yescharacteristic, complemented
61C2×#14519737C2211yescharacteristic, complemented
62C2×#14519737C2211yescharacteristic, complemented
63C4×D4×D61—28no—
64C2×#14519735C2211yescharacteristic, complemented
65C2×#14519735C2211yescharacteristic, complemented
66C2×#14519733C2211yescharacteristic, complemented
67C2×C4⋊C4×D61C2211yescharacteristic
68C2×C22⋊C4×D61C2211yescharacteristic
69C2×C22⋊C4×D61C2211yescharacteristic
70C2×C42×D61C2211yescharacteristic
71#16839704C2211yescharacteristic, complemented
72#16839703C2211yescharacteristic, complemented
73#16839698C2211yescharacteristic, complemented
74#16839697C2211yescharacteristic, complemented
75#16839696C2211yescharacteristic, complemented
76#16839695C2211yescharacteristic, complemented
77#16839695C2211yescharacteristic, complemented
78#16839695C2211yescharacteristic, complemented
79#16839692C2211yescharacteristic, complemented
80#16839691C2211yescharacteristic, complemented
81#16839691C2211yescharacteristic, complemented
82#16839691C2211yescharacteristic, complemented
83#16839690C2211yescharacteristic, complemented
84#16839690C2211yescharacteristic, complemented
85#16839690C2211yescharacteristic, complemented
86#16839689C2211yescharacteristic, complemented
87#16839688C2211yescharacteristic, complemented
88#16839687C2211yescharacteristic, complemented
89#16839685C2211yescharacteristic, complemented
90#16839685C2211yescharacteristic, complemented
91#16839684C2211yescharacteristic, complemented
92#16839684C2211yescharacteristic, complemented
93#16839684C2211yescharacteristic, complemented
94#16839684C2211yescharacteristic, complemented
95#16839683C2211yescharacteristic, complemented
96#16839682C2211yescharacteristic, complemented
97#16839680C2211yescharacteristic
98#16839680C2211yescharacteristic, complemented
99#16839679C2211yescharacteristic
100#16839679C2211yescharacteristic, complemented
101#16839679C2211yescharacteristic, complemented
102#16839678C2211yescharacteristic
103#16839678C2211yescharacteristic
104#16839678C2211yescharacteristic, complemented
105#16839678C2211yescharacteristic, complemented
106#16839678C2211yescharacteristic, complemented
107#16839678C2211yescharacteristic, complemented
108#16839678C2211yescharacteristic, complemented
109#16839677C2211yescharacteristic
110#16839677C2211yescharacteristic
111#16839677C2211yescharacteristic, complemented
112#16839677C2211yescharacteristic, complemented
113#16839677C2211yescharacteristic, complemented
114#16839676C2211yescharacteristic
115#16839676C2211yescharacteristic, complemented
116#16839675C2211yescharacteristic, complemented
117#16839674C2211yescharacteristic, complemented
118#16839672C2211yescharacteristic
119#16839671C2211yescharacteristic
120#16839671C2211yescharacteristic
121#16839671C2211yescharacteristic
122#16839671C2211yescharacteristic, complemented
123#16839670C2211yescharacteristic
124#16839670C2211yescharacteristic
125#16839670C2211yescharacteristic
126#16839670C2211yescharacteristic, complemented
127#16839654C2211yescharacteristic, complemented
128#16839653C2211yescharacteristic, complemented
129#16839650C2211yescharacteristic, complemented
130#16839647C2211yescharacteristic, complemented
131#16839646C2211yescharacteristic, complemented
132#16839643C2211yescharacteristic, complemented
133#16839641C2211yescharacteristic, complemented
134#16839640C2211yescharacteristic
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic, complemented
137#16839638C2211yescharacteristic
138#16839638C2211yescharacteristic
139#16839638C2211yescharacteristic, complemented
140#16839636C2211yescharacteristic
141#16839636C2211yescharacteristic
142#16839636C2211yescharacteristic, complemented
143#16839635C2211yescharacteristic, complemented
144#16839633C2211yescharacteristic
145#16839633C2211yescharacteristic
146#16839633C2211yescharacteristic, complemented
147#16839624C2211yescharacteristic
148#16839624C2211yescharacteristic
149#16839624C2211yescharacteristic, complemented
150#16839624C2211yescharacteristic, complemented
151#16839622C2211yescharacteristic, complemented
152#16839619C2211yescharacteristic
153#16839619C2211yescharacteristic
154#16839617C2211yescharacteristic
155#16839617C2211yescharacteristic
156#16839617C2211yescharacteristic
157#16839617C2211yescharacteristic
158C4⋊C4×Dic61C2211yescharacteristic, complemented
159C4⋊C4×Dic61C2211yescharacteristic, complemented
160#16839613C2211yescharacteristic, complemented
161#16839613C2211yescharacteristic, complemented
162C22⋊C4×Dic61C2211yescharacteristic, complemented
163C22⋊C4×Dic61C2211yescharacteristic, complemented
164C22⋊C4×Dic61C2211yescharacteristic, complemented
165C22⋊C4×Dic61C2211yescharacteristic, complemented
166C22⋊C4×Dic61C2211yescharacteristic, complemented
167C22⋊C4×Dic61C2211yescharacteristic, complemented
168#16839609C2211yescharacteristic
169#16839609C2211yescharacteristic
170#16839609C2211yescharacteristic, complemented
171#16839609C2211yescharacteristic, complemented
172#16839609C2211yescharacteristic, complemented
173#16839609C2211yescharacteristic, complemented
174C2×#123×C61C2211yescharacteristic, complemented
175C2×C4×D4×C61C2211yescharacteristic
176C61×#398C2211yescharacteristic, complemented
177C61×#397C2211yescharacteristic, complemented
178C61×#396C2211yescharacteristic, complemented
179C61×#396C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic
181C61×#394C2211yescharacteristic, complemented
182C61×#394C2211yescharacteristic, complemented
183C61×#392C2211yescharacteristic
184C61×#388C2211yescharacteristic, complemented
185C61×#387C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic, complemented
187C61×#385C2211yescharacteristic, complemented
188C61×#380C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C2×#11758224—24no—
192C2×#11758224—42no—
193C2×#11758224—42no—
194C22×Dic122C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C2×D4×D61—24no—
208C2×D4×D61—24no—
209C2×D4×D61—24no—
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C22×C4×D61—24no—
214C22×C4×D61—42no—
215C22×C4×D61—42no—
216C22×C4×D61—42no—
217C22×C4×D61—42no—
218C22×C4×D61D418yescomplemented
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229#14519762—24no—
230#14519760—24no—
231#14519759—24no—
232#14519755—24no—
233#14519755—24no—
234#14519750—24no—
235#14519750—24no—
236#14519747—24no—
237#14519747—24no—
238#14519745—24no—
239#14519745—24no—
240C4×D244—24no—
241D4×Dic61—24no—
242D4×Dic61—42no—
243#14519739—24no—
244#14519739—24no—
245#14519739—24no—
246#14519739—42no—
247C4×C22⋊D61—24no—
248C4×C22⋊D61—24no—
249#14519737—24no—
250#14519737—24no—
251#14519737—24no—
252#14519737—24no—
253#14519737—42no—
254#14519737—42no—
255#14519735—42no—
256#14519735—42no—
257#14519733—24no—
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×C4⋊Dic61C2311yescharacteristic
263C2×C4⋊Dic61C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C4⋊C4×D61—24no—
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
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
318C22⋊C4×D61—24no—
319C22⋊C4×D61—24no—
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
326C2×C4×Dic61C2311yescharacteristic
327C2×C4×Dic61C2311yescharacteristic
328C2×C4×Dic61C2311yescharacteristic
329C42×D61—24no—
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×C4⋊C4×C61C2311yescharacteristic
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×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—22no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61—41no—
402C23×D61—41no—
403C23×D61—41no—
404C23×D61—41no—
405C23×D61—41no—
406C23×D61C2×D414yes—
407C23×D61#4114yescomplemented
408C23×D61C2411yescharacteristic
409C23×D61C2411yescharacteristic
410C23×D61C2411yescharacteristic
411C23×D61C2411yescharacteristic
412C2×D4×C61—22no—
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—22no—
416C2×D4×C61—22no—
417C2×D4×C61—41no—
418C2×D4×C61—41no—
419C2×D4×C61—41no—
420C2×D4×C61—41no—
421C22×C4×C61—22no—
422C22×C4×C61—41no—
423C22×C4×C61—41no—
424C22×C4×C61—41no—
425C22×C4×C61—41no—
426C22×C4×C61C2×D414yes—
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
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—22no—
448C2×C22⋊D61—22no—
449C2×C22⋊D61—22no—
450C2×C22⋊D61—22no—
451C2×C22⋊D61—22no—
452C2×C22⋊D61—22no—
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—
463C22×Dic61—22no—
464C22×Dic61—22no—
465C22×Dic61—22no—
466C22×Dic61—22no—
467C22×Dic61—22no—
468C22×Dic61—22no—
469C22×Dic61—22no—
470C22×Dic61—22no—
471C22×Dic61C2×D414yes—
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484#11758224—416no—
485D4×D61—232no—
486C2×D244—22no—
487C2×D244—22no—
488C2×D244—22no—
489C2×D244—22no—
490C2×D244—22no—
491C2×D244—22no—
492C2×D244—22no—
493C2×D244—22no—
494C2×D244—41no—
495C2×D244—41no—
496C2×D244—41no—
497C2×D244—41no—
498C2×C4×D61—22no—
499C2×C4×D61—22no—
500C2×C4×D61—22no—
501C2×C4×D61—22no—
502C2×C4×D61—22no—
503C2×C4×D61—22no—
504C2×C4×D61—22no—
505C2×C4×D61—22no—
506C2×C4×D61—22no—
507C2×C4×D61—22no—
508C2×C4×D61—22no—
509C2×C4×D61—22no—
510C2×C4×D61—22no—
511C2×C4×D61—22no—
512C2×C4×D61—22no—
513C2×C4×D61—416no—
514C2×C4×D61—416no—
515C2×C4×D61—41no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C2×C4×D61—41no—
525C2×C4×D61C2×D414yes—
526C2×C4×D61C2×D414yes—
527C2×C4×D61C2×D414yes—
528C2×C4×D61C2×D414yes—
529C2×C4×D61#4114yescomplemented
530C2×Dic122—22no—
531C2×Dic122—41no—
532C2×Dic122—41no—
533C4⋊C4×C61—22no—
534C4⋊C4×C61—22no—
535C4⋊C4×C61—22no—
536C4⋊C4×C61—22no—
537C4⋊C4×C61—41no—
538C4⋊C4×C61—41no—
539C4⋊C4×C61—41no—
540C4⋊C4×C61—41no—
541C22⋊C4×C61—22no—
542C22⋊C4×C61—22no—
543C22⋊C4×C61—22no—
544C22⋊C4×C61—22no—
545C22⋊C4×C61—22no—
546C22⋊C4×C61—22no—
547C22⋊C4×C61—22no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C22⋊C4×C61—41no—
553C22⋊C4×C61—41no—
554C42×C61—22no—
555C22⋊Dic61—22no—
556C22⋊Dic61—22no—
557C22⋊Dic61—22no—
558C22⋊Dic61—22no—
559C22⋊Dic61—22no—
560C22⋊Dic61—41no—
561C22⋊Dic61—41no—
562C22⋊Dic61—41no—
563C22⋊Dic61—41no—
564C22⋊Dic61—41no—
565C22⋊Dic61—41no—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—22no—
570#11758198—22no—
571#11758198—22no—
572#11758198—22no—
573#11758198—22no—
574#11758198—22no—
575#11758198—22no—
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—41no—
585#11758198—41no—
586#11758198—41no—
587#11758198—41no—
588#11758198—41no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592#11758198—41no—
593#11758198—41no—
594#11758198—41no—
595#11758198—41no—
596C4⋊Dic61—22no—
597C4⋊Dic61—22no—
598C4⋊Dic61—41no—
599C4⋊Dic61—41no—
600C4⋊Dic61—41no—
601C4⋊Dic61—41no—
602#11758196—22no—
603#11758196—22no—
604#11758196—22no—
605#11758196—22no—
606#11758196—22no—
607#11758196—22no—
608#11758196—22no—
609#11758196—22no—
610#11758196—41no—
611#11758196—41no—
612#11758196—41no—
613#11758196—41no—
614C4×Dic61—22no—
615C4×Dic61—22no—
616C4×Dic61—22no—
617C4×Dic61—22no—
618C4×Dic61—22no—
619C4×Dic61—22no—
620C4×Dic61—22no—
621C4×Dic61—22no—
622C4×Dic61—22no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61C22×D412yes—
643C23×C61C2×#4112yes—
644C23×C61C2511yescharacteristic
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—21no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—21no—
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—28no—
662C22×D61—28no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—44no—
671C22×D61—44no—
672C22×D61—44no—
673C22×D61—44no—
674C22×D61—44no—
675C22×D61—44no—
676C22×D61—44no—
677C22×D61—44no—
678C22×D61—44no—
679C22×D61—44no—
680C22×D61—44no—
681C22×D61—44no—
682C22×D61C22×D412yes—
683C22×D61C22×D412yes—
684C22×D61C2×#4112yes—
685C22×D61C2×#4112yes—
686C22×D61C2×#4112yes—
687D4×C61—28no—
688D4×C61—44no—
689D4×C61—44no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—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—44no—
724C2×C4×C61—44no—
725C2×C4×C61C22×D412yes—
726C2×C4×C61C22×D412yes—
727C2×C4×C61C2×#4112yes—
728C22⋊D61—28no—
729C22⋊D61—28no—
730C22⋊D61—44no—
731C22⋊D61—44no—
732C22⋊D61—44no—
733C22⋊D61—44no—
734C22⋊D61—44no—
735C22⋊D61—44no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—28no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—44no—
769C2×Dic61—44no—
770C2×Dic61C22×D412yes—
771C2×Dic61C22×D412yes—
772C2×Dic61C2×#4112yes—
773C2×Dic61H(5,𝔽2)12yes—
774C2×Dic61H(5,𝔽2)12yes—
775D244—28no—
776D244—44no—
777D244—44no—
778D244—44no—
779C4×D61—28no—
780C4×D61—28no—
781C4×D61—28no—
782C4×D61—44no—
783C4×D61—44no—
784C4×D61—44no—
785C4×D61—44no—
786C4×D61—44no—
787C4×D61—44no—
788C4×D61—44no—
789Dic122—44no—
790#34562—611nomaximal, Sylow
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—22no—
794C22×C61—22no—
795C22×C61—22no—
796C22×C61—22no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61C23×D411yescharacteristic
813C22×C61C22×#4111yescharacteristic
814C22×C61C22×#4111yescharacteristic
815C22×C61C2×H(5,𝔽2)11yescharacteristic
816C22×C61C2×H(5,𝔽2)11yescharacteristic
817C22×C61#58511yescharacteristic
818C22×C61#58511yescharacteristic
819C2×D61—22no—
820C2×D61—22no—
821C2×D61—22no—
822C2×D61—22no—
823C2×D61—22no—
824C2×D61—22no—
825C2×D61—22no—
826C2×D61—22no—
827C2×D61—22no—
828C2×D61—22no—
829C2×D61—22no—
830C2×D61—22no—
831C2×D61—416no—
832C2×D61—416no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
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#52514yes—
849C4×C61—22no—
850C4×C61—22no—
851C4×C61—22no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855C4×C61—41no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61—41no—
861Dic61—22no—
862Dic61—22no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870Dic61—41no—
871Dic61—41no—
872Dic61#53414yes—
873C2×#525—611no—
874C22×C4×D4—611no—
875#2638—611no—
876#2638—611no—
877#2635—611no—
878#2635—611no—
879#2630—611no—
880#2630—611no—
881#2630—611no—
882#2630D6111yescharacteristic, complemented
883#2627—611no—
884#2626—611no—
885#2622—611no—
886#2622—611no—
887#2618—611no—
888#2617—611no—
889#2613—611no—
890#2613—611no—
891#2395—611no—
892#2395—611no—
893#2392—611no—
894#2392—611no—
895#2392—611no—
896#2392—611no—
897#2388—611no—
898#2388—611no—
899C4×#123—611no—
900C4×#123—611no—
901C4×#120—611no—
902C4×#120—611no—
903#2280—611no—
904C2×C61—42no—
905C2×C61—42no—
906C2×C61—81no—
907C2×C61C2×#52511yescharacteristic
908C2×C61C2×#53411yescharacteristic
909C2×C61#344911yescharacteristic
910C2×C61#345911yescharacteristic
911C2×C61#345911yescharacteristic
912C2×C61#346011yescharacteristic
913C2×C61#346011yescharacteristic
914D61—24no—
915D61—42no—
916D61—42no—
917D61—81no—
918C22×#41—611no—
919C23×D4—611no—
920C24×C4—611no—
921C24×C4—611no—
922#525—1228no—
923C2×#123—611no—
924C2×#123—611no—
925C2×#123—611no—
926C2×#123C2×D6111yescharacteristic, complemented
927C2×C22⋊Q8—611no—
928C2×C22⋊Q8—611no—
929C2×#121—611no—
930C2×#121—611no—
931C2×#120—611no—
932C2×#120—611no—
933C2×#120—611no—
934C2×#120—611no—
935C2×C4×D4—611no—
936C2×C4×D4—611no—
937C2×C4×D4—611no—
938C2×C4×D4—611no—
939C2×C4×D4—611no—
940C2×C4×D4—611no—
941C2×C4×D4—611no—
942C2×C4×D4—611no—
943C2×C4×D4—611no—
944C2×C4×D4—611no—
945C2×C4×D4—611no—
946C2×C4×D4—611no—
947C2×C4×D4—611no—
948C2×C4×D4—611no—
949C2×C4×D4—611no—
950C2×C4×D4—1228no—
951C2×C4×D4C2×D6111yescharacteristic
952C2×#117—611no—
953C2×#117—611no—
954C2×#117—611no—
955C22×C4⋊C4—611no—
956C22×C22⋊C4—611no—
957C22×C22⋊C4—611no—
958C22×C42—611no—
959#400—611no—
960#400—611no—
961#399—611no—
962#399—611no—
963#398—611no—
964#398—611no—
965#398—611no—
966#398—611no—
967#398—611no—
968#398C2×D6111yescharacteristic, complemented
969#397—611no—
970#397—611no—
971#397—611no—
972#397—611no—
973#397—611no—
974#397—611no—
975#397—611no—
976#397—611no—
977#397—611no—
978#397C2×D6111yescharacteristic, complemented
979#396—611no—
980#396—611no—
981#396—611no—
982#396—611no—
983#396—611no—
984#396—611no—
985#396C2×D6111yescharacteristic, complemented
986#396C2×D6111yescharacteristic, complemented
987#395—611no—
988#395—611no—
989#394—611no—
990#394—611no—
991#394—611no—
992#394—611no—
993#394—611no—
994#394—611no—
995#394—611no—
996#394—611no—
997#394—611no—
998#394—611no—
999#394—611no—
1000#394—611no—
1001#394—611no—
1002#394—611no—
1003#394—611no—
1004#394—611no—
1005#394—611no—
1006#394—611no—
1007#394—611no—
1008#394C2×D6111yescharacteristic
1009#394C2×D6111yescharacteristic, complemented
1010#394C2×D6111yescharacteristic, complemented
1011#393—611no—
1012#393—611no—
1013#392—611no—
1014#392—611no—
1015#392—611no—
1016#392—611no—
1017#392—611no—
1018#392—611no—
1019#392—611no—
1020#392—611no—
1021#392—611no—
1022#392C2×D6111yescharacteristic
1023#388—611no—
1024#388—611no—
1025#388—611no—
1026#388C2×D6111yescharacteristic, complemented
1027#387—611no—
1028#387—611no—
1029#387—611no—
1030#387C2×D6111yescharacteristic, complemented
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386—611no—
1035#386—611no—
1036#386—611no—
1037#386—611no—
1038#386C2×D6111yescharacteristic, complemented
1039#385—611no—
1040#385—611no—
1041#385—611no—
1042#385—611no—
1043#385—611no—
1044#385—611no—
1045#385—611no—
1046#385C2×D6111yescharacteristic, complemented
1047#381—611no—
1048#381—611no—
1049#381—611no—
1050#381—611no—
1051#380—611no—
1052#380—611no—
1053#380—611no—
1054#380C2×D6111yescharacteristic, complemented
1055#379—611no—
1056#379—611no—
1057#379—611no—
1058#379—611no—
1059C4×C4⋊C4—611no—
1060C4×C4⋊C4—611no—
1061C4×C4⋊C4—611no—
1062C4×C4⋊C4—611no—
1063C4×C22⋊C4—611no—
1064C4×C22⋊C4—611no—
1065C4×C22⋊C4—611no—
1066C4×C22⋊C4—611no—
1067C4×C22⋊C4—611no—
1068C4×C22⋊C4—611no—
1069C4×C22⋊C4—611no—
1070C4×C22⋊C4—611no—
1071C4×C22⋊C4—611no—
1072C4×C22⋊C4—611no—
1073C4×C22⋊C4—611no—
1074C4×C22⋊C4—611no—
1075C61#3456211yescharacteristic, complemented, Sylow
1076C25—611no—
1077C25—611no—
1078C2×#41—1224no—
1079C2×#41—2442no—
1080C2×#41—2442no—
1081C22×Q8—611no—
1082C22×D4—611no—
1083C22×D4—611no—
1084C22×D4—611no—
1085C22×D4—611no—
1086C22×D4—611no—
1087C22×D4—611no—
1088C22×D4—611no—
1089C22×D4—611no—
1090C22×D4—611no—
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—1224no—
1095C22×D4—1224no—
1096C22×D4—1224no—
1097C22×D4C22×D6111yescharacteristic
1098C22×D4C22×D6111yescharacteristic
1099C22×D4C22×D6111yescharacteristic
1100C23×C4—611no—
1101C23×C4—611no—
1102C23×C4—611no—
1103C23×C4—611no—
1104C23×C4—618no—
1105C23×C4—611no—
1106C23×C4—611no—
1107C23×C4—611no—
1108C23×C4—611no—
1109C23×C4—611no—
1110C23×C4—611no—
1111C23×C4—611no—
1112C23×C4—611no—
1113C23×C4—611no—
1114C23×C4—1224no—
1115C23×C4—2442no—
1116C23×C4—2442no—
1117C23×C4—2442no—
1118C23×C4—2442no—
1119C23×C4C22×D6111yescharacteristic
1120C23×C4C22×D6111yescharacteristic
1121#123—24no—
1122#123—1224no—
1123#123—1224no—
1124#123—1224no—
1125C22⋊Q8—1224no—
1126C22⋊Q8—1224no—
1127#121—1224no—
1128#121—1224no—
1129#120—1224no—
1130#120—1224no—
1131#120—1224no—
1132#120—1224no—
1133C4×D4—24no—
1134C4×D4—1224no—
1135C4×D4—1224no—
1136C4×D4—1224no—
1137C4×D4—1224no—
1138C4×D4—1224no—
1139C4×D4—1224no—
1140C4×D4—1224no—
1141C4×D4—1224no—
1142C4×D4—1224no—
1143C4×D4—1224no—
1144C4×D4—1224no—
1145C4×D4—2442no—
1146C4×D4—2442no—
1147C4×D4—2442no—
1148C4×D4—2442no—
1149#117—1224no—
1150#117—2442no—
1151#117—2442no—
1152C2×C4⋊C4—611no—
1153C2×C4⋊C4—611no—
1154C2×C4⋊C4—611no—
1155C2×C4⋊C4—611no—
1156C2×C4⋊C4—611no—
1157C2×C4⋊C4—611no—
1158C2×C4⋊C4—611no—
1159C2×C4⋊C4—611no—
1160C2×C4⋊C4—611no—
1161C2×C4⋊C4—611no—
1162C2×C4⋊C4—611no—
1163C2×C4⋊C4—611no—
1164C2×C4⋊C4—611no—
1165C2×C4⋊C4—611no—
1166C2×C4⋊C4—611no—
1167C2×C4⋊C4—611no—
1168C2×C4⋊C4—611no—
1169C2×C4⋊C4—611no—
1170C2×C4⋊C4—1224no—
1171C2×C4⋊C4C22×D6111yescharacteristic
1172C2×C4⋊C4C22×D6111yescharacteristic
1173C2×C4⋊C4C22×D6111yescharacteristic
1174C2×C4⋊C4C22×D6111yescharacteristic
1175C2×C4⋊C4C22×D6111yescharacteristic
1176C2×C4⋊C4C22×D6111yescharacteristic
1177C2×C4⋊C4C22×D6111yescharacteristic
1178C2×C4⋊C4C22×D6111yescharacteristic
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
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—1224no—
1221C2×C22⋊C4—1224no—
1222C2×C22⋊C4C22×D6111yescharacteristic
1223C2×C22⋊C4C22×D6111yescharacteristic
1224C2×C22⋊C4C22×D6111yescharacteristic
1225C2×C22⋊C4C22×D6111yescharacteristic
1226C2×C22⋊C4C22×D6111yescharacteristic
1227C2×C22⋊C4C22×D6111yescharacteristic
1228C2×C22⋊C4C22×D6111yescharacteristic
1229C2×C22⋊C4C22×D6111yescharacteristic
1230C2×C22⋊C4C22×D6111yescharacteristic
1231C2×C22⋊C4C22×D6111yescharacteristic
1232C2×C22⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4C22×D6111yescharacteristic
1234C2×C22⋊C4C22×D6111yescharacteristic
1235C2×C42—611no—
1236C2×C42—611no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—611no—
1240C2×C42—611no—
1241C2×C42—611no—
1242C2×C42—611no—
1243C2×C42—611no—
1244C2×C42—1224no—
1245C2×C42C22×D6111yescharacteristic
1246#95—611no—
1247#95—611no—
1248#95—611no—
1249#95—611no—
1250#95—611no—
1251#95—611no—
1252#95—611no—
1253#95—611no—
1254#95—611no—
1255#95—611no—
1256#95—611no—
1257#95—611no—
1258#95—611no—
1259#95—611no—
1260#95—611no—
1261#95—611no—
1262#95—611no—
1263#95—611no—
1264#95—611no—
1265#95—611no—
1266#95—611no—
1267#95—611no—
1268#95—611no—
1269#95—611no—
1270#95C22×D6111yescharacteristic
1271#95C22×D6111yescharacteristic
1272#95C22×D6111yescharacteristic
1273#95C22×D6111yescharacteristic
1274#95C22×D6111yescharacteristic
1275#95C22×D6111yescharacteristic
1276#95C22×D6111yescharacteristic
1277#95C22×D6111yescharacteristic
1278C24—611no—
1279C24—611no—
1280C24—611no—
1281C24—614no—
1282C24—614no—
1283C24—611no—
1284C24—1222no—
1285C24—1222no—
1286C24—1222no—
1287C24—1222no—
1288C24—2441no—
1289C24—2441no—
1290C24—2441no—
1291C24—2441no—
1292C24—2441no—
1293C24—2441no—
1294C24—2441no—
1295C24—2441no—
1296C24C23×D6111yescharacteristic
1297C24C23×D6111yescharacteristic
1298C24C23×D6111yescharacteristic
1299#41—24416no—
1300C2×Q8—1222no—
1301C2×Q8—2441no—
1302C2×Q8—2441no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—1222no—
1313C2×D4—1222no—
1314C2×D4—1222no—
1315C2×D4—1222no—
1316C2×D4—1222no—
1317C2×D4—1222no—
1318C2×D4—1222no—
1319C2×D4—1222no—
1320C2×D4—1222no—
1321C2×D4—1222no—
1322C2×D4—12232no—
1323C2×D4—1222no—
1324C2×D4—1222no—
1325C2×D4—1222no—
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—2441no—
1336C2×D4—2441no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4—2441no—
1340C2×D4—2441no—
1341C2×D4—2441no—
1342C2×D4—2441no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—2441no—
1348C2×D4—2441no—
1349C22×C4—22no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—611no—
1355C22×C4—614no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—614no—
1359C22×C4—614no—
1360C22×C4—614no—
1361C22×C4—614no—
1362C22×C4—614no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—1222no—
1373C22×C4—1222no—
1374C22×C4—1222no—
1375C22×C4—1222no—
1376C22×C4—1222no—
1377C22×C4—1222no—
1378C22×C4—1222no—
1379C22×C4—1222no—
1380C22×C4—1222no—
1381C22×C4—1222no—
1382C22×C4—1222no—
1383C22×C4—1222no—
1384C22×C4—1222no—
1385C22×C4—1222no—
1386C22×C4—1222no—
1387C22×C4—1222no—
1388C22×C4—1222no—
1389C22×C4—1222no—
1390C22×C4—1222no—
1391C22×C4—1222no—
1392C22×C4—1222no—
1393C22×C4—1222no—
1394C22×C4—1222no—
1395C22×C4—2441no—
1396C22×C4—2441no—
1397C22×C4—2441no—
1398C22×C4—2441no—
1399C22×C4—2441no—
1400C22×C4—2441no—
1401C22×C4—2441no—
1402C22×C4—2441no—
1403C22×C4—2441no—
1404C22×C4—2441no—
1405C22×C4—24416no—
1406C22×C4—24416no—
1407C22×C4D4×D6114yes—
1408C22×C4C23×D6111yescharacteristic
1409C22×C4C23×D6111yescharacteristic
1410C22×C4C23×D6111yescharacteristic
1411C22×C4C23×D6111yescharacteristic
1412C22×C4C23×D6111yescharacteristic
1413C22×C4C23×D6111yescharacteristic
1414C22×C4C23×D6111yescharacteristic
1415C22×C4C23×D6111yescharacteristic
1416C22×C4C23×D6111yescharacteristic
1417C22×C4C23×D6111yescharacteristic
1418C22×C4C23×D6111yescharacteristic
1419C22×C4C23×D6111yescharacteristic
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—1222no—
1429C4⋊C4—1222no—
1430C4⋊C4—1222no—
1431C4⋊C4—1222no—
1432C4⋊C4—1222no—
1433C4⋊C4—1222no—
1434C4⋊C4—1222no—
1435C4⋊C4—1222no—
1436C4⋊C4—1222no—
1437C4⋊C4—1222no—
1438C4⋊C4—2441no—
1439C4⋊C4—2441no—
1440C4⋊C4—2441no—
1441C4⋊C4—2441no—
1442C4⋊C4—2441no—
1443C4⋊C4—2441no—
1444C4⋊C4—2441no—
1445C4⋊C4—2441no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—1222no—
1460C22⋊C4—1222no—
1461C22⋊C4—1222no—
1462C22⋊C4—1222no—
1463C22⋊C4—1222no—
1464C22⋊C4—1222no—
1465C22⋊C4—1222no—
1466C22⋊C4—1222no—
1467C22⋊C4—1222no—
1468C22⋊C4—1222no—
1469C22⋊C4—1222no—
1470C22⋊C4—1222no—
1471C22⋊C4—1222no—
1472C22⋊C4—1222no—
1473C22⋊C4—1222no—
1474C22⋊C4—1222no—
1475C22⋊C4—1222no—
1476C22⋊C4—1222no—
1477C22⋊C4—1222no—
1478C22⋊C4—1222no—
1479C22⋊C4—1222no—
1480C22⋊C4—1222no—
1481C22⋊C4—1222no—
1482C22⋊C4—2441no—
1483C22⋊C4—2441no—
1484C22⋊C4—2441no—
1485C22⋊C4—2441no—
1486C22⋊C4—2441no—
1487C22⋊C4—2441no—
1488C22⋊C4—2441no—
1489C22⋊C4—2441no—
1490C22⋊C4—2441no—
1491C22⋊C4—2441no—
1492C22⋊C4—2441no—
1493C22⋊C4—2441no—
1494C22⋊C4—2441no—
1495C22⋊C4—2441no—
1496C22⋊C4—2441no—
1497C22⋊C4—2441no—
1498C22⋊C4—2441no—
1499C22⋊C4—2441no—
1500C42—22no—
1501C42—1222no—
1502C42—1222no—
1503C42—1222no—
1504C42—1222no—
1505C42—1222no—
1506C42—1222no—
1507C42—1222no—
1508C42—1222no—
1509C42—1222no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—612no—
1530C23—612no—
1531C23—612no—
1532C23—612no—
1533C23—612no—
1534C23—1228no—
1535C23—1228no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—1221no—
1543C23—1221no—
1544C23—1221no—
1545C23—1221no—
1546C23—1221no—
1547C23—1221no—
1548C23—1221no—
1549C23—1221no—
1550C23—1221no—
1551C23—1221no—
1552C23—1221no—
1553C23—1221no—
1554C23—1221no—
1555C23—1221no—
1556C23—1221no—
1557C23—1221no—
1558C23—1221no—
1559C23—2444no—
1560C23—2444no—
1561C23—2444no—
1562C23—2444no—
1563C23—2444no—
1564C23—2444no—
1565C23—2444no—
1566C23—2444no—
1567C23—2444no—
1568C23—2444no—
1569C23—2444no—
1570C23—2444no—
1571C23C2×D4×D6112yes—
1572C23#41×D6112yes—
1573C23C24×D6111yescharacteristic
1574Q8—2444no—
1575D4—28no—
1576D4—44no—
1577D4—44no—
1578D4—1228no—
1579D4—1228no—
1580D4—1228no—
1581D4—2444no—
1582D4—2444no—
1583D4—2444no—
1584D4—2444no—
1585D4—2444no—
1586D4—2444no—
1587D4—2444no—
1588D4—2444no—
1589D4—2444no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—612no—
1626C2×C4—612no—
1627C2×C4—612no—
1628C2×C4—612no—
1629C2×C4—612no—
1630C2×C4—1228no—
1631C2×C4—1228no—
1632C2×C4—1228no—
1633C2×C4—1228no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—2444no—
1666C2×C4—2444no—
1667C2×C4—2444no—
1668C2×C4—2444no—
1669C2×C4—2444no—
1670C2×C4—2444no—
1671C2×C4—2444no—
1672C2×C4—2444no—
1673C2×C4—2444no—
1674C2×C4C2×D4×D6112yes—
1675C2×C4C2×D4×D6112yes—
1676C2×C4#41×D6112yes—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—614no—
1699C22—1222no—
1700C22—1222no—
1701C22—1222no—
1702C22—1222no—
1703C22—1222no—
1704C22—1222no—
1705C22—1222no—
1706C22—1222no—
1707C22—1222no—
1708C22—1222no—
1709C22—1222no—
1710C22—1222no—
1711C22—24416no—
1712C22—24416no—
1713C22—2441no—
1714C22—2441no—
1715C22—2441no—
1716C22—2441no—
1717C22—2441no—
1718C22—2441no—
1719C22—2441no—
1720C22—2441no—
1721C22—2441no—
1722C22—2441no—
1723C22—2441no—
1724C22—2441no—
1725C22—2441no—
1726C22—2441no—
1727C22—2441no—
1728C22C22×D4×D6111yescharacteristic
1729C22C2×#41×D6111yescharacteristic
1730C22C2×#41×D6111yescharacteristic
1731C22H(5,𝔽2)×D6111yescharacteristic
1732C22H(5,𝔽2)×D6111yescharacteristic
1733C22#1684059711yescharacteristic
1734C22#1684059911yescharacteristic
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—614no—
1748C4—1222no—
1749C4—1222no—
1750C4—2441no—
1751C4—2441no—
1752C4—2441no—
1753C4—2441no—
1754C4—2441no—
1755C4—2441no—
1756C4—2441no—
1757C4—2441no—
1758C4—2441no—
1759C2—42no—
1760C2—42no—
1761C2—81no—
1762C2—1224no—
1763C2—4881no—
1764C2—2442no—
1765C2—2442no—
1766C2#525×D6111yescharacteristic
1767C2#534×D6111yescharacteristic
1768C2#2145914711yescharacteristic
1769C2#2145922711yescharacteristic
1770C2#2145923011yescharacteristic
1771C2#2145923411yescharacteristic
1772C2#2145923911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2630C2
hypercenter#2630D61
hypocenterC61#34562
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2630

Complements

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

NH ≅ G/Ntype
1. C2×#16840270C2semidirect
2. C2×C4×D4×D61C2semidirect
3. #21451743C2semidirect
4. #21451740C2semidirect
5. #21451710C2semidirect
6. #21451707C2semidirect
7. #21451660C2semidirect
8. #21451658C2semidirect
9. #21451656C2semidirect
10. #21451637C2semidirect
11. #21451629C2semidirect
12. #21451593C2semidirect
13. #21451591C2semidirect
14. #21451566C2semidirect
15. #21451558C2semidirect
16. #21451532C2semidirect
17. #21451530C2semidirect
18. #21449077C2semidirect
19. #21449075C2semidirect
20. #21449064C2semidirect
21. #21449064C2semidirect
22. #21449060C2semidirect
23. #21449058C2semidirect
24. #21449033C2semidirect
25. #21449031C2semidirect
26. #21448346C2semidirect
27. #21448340C2semidirect
28. #21448324C2semidirect
29. #21448320C2semidirect
30. #21448201C2semidirect
31. C61×#2630C2semidirect
32. C22×#11758224C22semidirect
38. C2×#14519760C22semidirect
41. C2×#14519755C22semidirect
43. C2×#14519750C22semidirect
50. C2×D4×Dic61C22semidirect
53. C2×#14519739C22semidirect
54. C2×#14519739C22semidirect
60. C2×#14519737C22semidirect
61. C2×#14519737C22semidirect
62. C2×#14519737C22semidirect
64. C2×#14519735C22semidirect
65. C2×#14519735C22semidirect
66. C2×#14519733C22semidirect
71. #16839704C22semidirect
72. #16839703C22semidirect
73. #16839698C22semidirect
74. #16839697C22semidirect
75. #16839696C22semidirect
76. #16839695C22semidirect
77. #16839695C22semidirect
78. #16839695C22semidirect
79. #16839692C22semidirect
80. #16839691C22semidirect
81. #16839691C22semidirect
82. #16839691C22semidirect
83. #16839690C22semidirect
84. #16839690C22semidirect
85. #16839690C22semidirect
86. #16839689C22semidirect
87. #16839688C22semidirect
88. #16839687C22semidirect
89. #16839685C22semidirect
90. #16839685C22semidirect
91. #16839684C22semidirect
92. #16839684C22semidirect
93. #16839684C22semidirect
94. #16839684C22semidirect
95. #16839683C22semidirect
96. #16839682C22semidirect
98. #16839680C22semidirect
100. #16839679C22semidirect
101. #16839679C22semidirect
104. #16839678C22semidirect
105. #16839678C22semidirect
106. #16839678C22semidirect
107. #16839678C22semidirect
108. #16839678C22semidirect
111. #16839677C22semidirect
112. #16839677C22semidirect
113. #16839677C22semidirect
115. #16839676C22semidirect
116. #16839675C22semidirect
117. #16839674C22semidirect
122. #16839671C22semidirect
126. #16839670C22semidirect
127. #16839654C22semidirect
128. #16839653C22semidirect
129. #16839650C22semidirect
130. #16839647C22semidirect
131. #16839646C22semidirect
132. #16839643C22semidirect
133. #16839641C22semidirect
136. #16839640C22semidirect
139. #16839638C22semidirect
142. #16839636C22semidirect
143. #16839635C22semidirect
146. #16839633C22semidirect
149. #16839624C22semidirect
150. #16839624C22semidirect
151. #16839622C22semidirect
158. C4⋊C4×Dic61C22semidirect
159. C4⋊C4×Dic61C22semidirect
160. #16839613C22semidirect
161. #16839613C22semidirect
162. C22⋊C4×Dic61C22semidirect
163. C22⋊C4×Dic61C22semidirect
164. C22⋊C4×Dic61C22semidirect
165. C22⋊C4×Dic61C22semidirect
166. C22⋊C4×Dic61C22semidirect
167. C22⋊C4×Dic61C22semidirect
170. #16839609C22semidirect
171. #16839609C22semidirect
172. #16839609C22semidirect
173. #16839609C22semidirect
174. C2×#123×C61C22semidirect
176. C61×#398C22semidirect
177. C61×#397C22semidirect
178. C61×#396C22semidirect
179. C61×#396C22semidirect
181. C61×#394C22semidirect
182. C61×#394C22semidirect
184. C61×#388C22semidirect
185. C61×#387C22semidirect
186. C61×#386C22semidirect
187. C61×#385C22semidirect
188. C61×#380C22semidirect
218. C22×C4×D61D4semidirect
407. C23×D61#41semidirect
529. C2×C4×D61#41semidirect
882. #2630D61semidirect
926. C2×#123C2×D61semidirect
968. #398C2×D61semidirect
978. #397C2×D61semidirect
985. #396C2×D61semidirect
986. #396C2×D61semidirect
1009. #394C2×D61semidirect
1010. #394C2×D61semidirect
1026. #388C2×D61semidirect
1030. #387C2×D61semidirect
1038. #386C2×D61semidirect
1046. #385C2×D61semidirect
1054. #380C2×D61semidirect
1075. C61#34562semidirect

Maximal subgroups

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

subgroupindex
C2×#168402702
C2×C4×D4×D612
#214517432
#214517402
#214517102
#214517072
#214516602
#214516582
#214516562
#214516372
#214516292
#214515932
#214515912
#214515662
#214515582
#214515322
#214515302
#214490772
#214490752
#214490642
#214490602
#214490582
#214490332
#214490312
#214483462
#214483402
#214483242
#214483202
#214482012
C61×#26302
#3456261