Finite Group Databasebeta

← #29887123

Subgroups — #29887123

Order 15616.

3282 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454097C211yesmaximal, characteristic, complemented
2#21454097C211yesmaximal, characteristic, complemented
3#21452864C211yesmaximal, characteristic, complemented
4#21452862C211yesmaximal, characteristic, complemented
5#21452859C211yesmaximal, characteristic, complemented
6#21452384C211yesmaximal, characteristic, complemented
7#21452379C211yesmaximal, characteristic, complemented
8#21452210C211yesmaximal, characteristic, complemented
9#21452208C211yesmaximal, characteristic, complemented
10#21452207C211yesmaximal, characteristic, complemented
11#21452203C211yesmaximal, characteristic, complemented
12#21452200C211yesmaximal, characteristic, complemented
13#21452199C211yesmaximal, characteristic, complemented
14#21452149C211yesmaximal, characteristic, complemented
15#21452148C211yesmaximal, characteristic, complemented
16#21452043C211yesmaximal, characteristic, complemented
17#21452029C211yesmaximal, characteristic, complemented
18#21451629C211yesmaximal, characteristic, complemented
19#21451554C211yesmaximal, characteristic, complemented
20#21450071C211yesmaximal, characteristic, complemented
21#21450060C211yesmaximal, characteristic, complemented
22#21449949C211yesmaximal, characteristic, complemented
23#21449938C211yesmaximal, characteristic, complemented
24#21449360C211yesmaximal, characteristic, complemented
25#21449350C211yesmaximal, characteristic, complemented
26#21449286C211yesmaximal, characteristic, complemented
27#21449284C211yesmaximal, characteristic, complemented
28#21448481C211yesmaximal, characteristic, complemented
29#21448472C211yesmaximal, characteristic, complemented
30#379×D61C211yesmaximal, characteristic, complemented
31C61×#2735C211yesmaximal, characteristic, complemented
32C25×D61C2211yescharacteristic
33C2×#14519772C2211yescharacteristic, complemented
34C2×#14519770C2211yescharacteristic, complemented
35C2×#14519765C2211yescharacteristic, complemented
36C2×#14519763C2211yescharacteristic, complemented
37C2×#14519762C2211yescharacteristic, complemented
38C2×#14519759C2211yescharacteristic, complemented
39C2×#14519755C2211yescharacteristic, complemented
40C2×#14519752C2211yescharacteristic, complemented
41C2×#14519752C2211yescharacteristic, complemented
42C2×#14519750C2211yescharacteristic, complemented
43C2×#14519747C2211yescharacteristic
44C2×#14519747C2211yescharacteristic
45C2×#14519747C2211yescharacteristic
46C2×#14519747C2211yescharacteristic
47C2×#14519747C2211yescharacteristic
48C2×#14519747C2211yescharacteristic
49C2×#14519747C2211yescharacteristic
50C2×#14519747C2211yescharacteristic
51C2×#14519747C2211yescharacteristic
52C2×#14519747C2211yescharacteristic
53C2×#14519747C2211yescharacteristic
54C2×#14519747C2211yescharacteristic
55C2×#14519746C2211yescharacteristic
56C2×#14519746C2211yescharacteristic
57C2×C4×D244C2211yescharacteristic, complemented
58C2×#14519739C2211yescharacteristic, complemented
59C2×C22⋊C4×D61C2211yescharacteristic
60C2×C22⋊C4×D61C2211yescharacteristic
61C2×C22⋊C4×D61C2211yescharacteristic
62C2×C22⋊C4×D61C2211yescharacteristic
63C2×C22⋊C4×D61C2211yescharacteristic
64C2×C22⋊C4×D61C2211yescharacteristic
65#16839699C2211yescharacteristic, complemented
66#16839698C2211yescharacteristic, complemented
67#16839697C2211yescharacteristic, complemented
68#16839691C2211yescharacteristic, complemented
69#16839691C2211yescharacteristic, complemented
70#16839691C2211yescharacteristic, complemented
71#16839691C2211yescharacteristic, complemented
72#16839690C2211yescharacteristic, complemented
73#16839690C2211yescharacteristic, complemented
74#16839688C2211yescharacteristic, complemented
75#16839688C2211yescharacteristic, complemented
76#16839687C2211yescharacteristic, complemented
77#16839686C2211yescharacteristic, complemented
78#16839685C2211yescharacteristic, complemented
79#16839685C2211yescharacteristic, complemented
80#16839684C2211yescharacteristic, complemented
81#16839684C2211yescharacteristic, complemented
82#16839684C2211yescharacteristic, complemented
83#16839680C2211yescharacteristic, complemented
84#16839680C2211yescharacteristic, complemented
85#16839680C2211yescharacteristic, complemented
86#16839680C2211yescharacteristic, complemented
87#16839679C2211yescharacteristic, complemented
88#16839679C2211yescharacteristic, complemented
89#16839679C2211yescharacteristic, complemented
90#16839679C2211yescharacteristic, complemented
91#16839678C2211yescharacteristic, complemented
92#16839678C2211yescharacteristic, complemented
93#16839678C2211yescharacteristic, complemented
94#16839678C2211yescharacteristic, complemented
95#16839677C2211yescharacteristic, complemented
96#16839677C2211yescharacteristic, complemented
97#16839677C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic, complemented
99#16839675C2211yescharacteristic, complemented
100#16839675C2211yescharacteristic, complemented
101#16839674C2211yescharacteristic, complemented
102#16839674C2211yescharacteristic, complemented
103#16839672C2211yescharacteristic, complemented
104#16839672C2211yescharacteristic, complemented
105#16839671C2211yescharacteristic, complemented
106#16839671C2211yescharacteristic, complemented
107#16839664C2211yescharacteristic, complemented
108#16839664C2211yescharacteristic, complemented
109#16839663C2211yescharacteristic, complemented
110#16839663C2211yescharacteristic, complemented
111#16839662C2211yescharacteristic, complemented
112#16839662C2211yescharacteristic, complemented
113#16839662C2211yescharacteristic, complemented
114#16839662C2211yescharacteristic, complemented
115#16839656C2211yescharacteristic, complemented
116#16839656C2211yescharacteristic, complemented
117#16839655C2211yescharacteristic, complemented
118#16839655C2211yescharacteristic, complemented
119#16839654C2211yescharacteristic, complemented
120#16839654C2211yescharacteristic, complemented
121#16839654C2211yescharacteristic, complemented
122#16839653C2211yescharacteristic, complemented
123#16839653C2211yescharacteristic, complemented
124#16839653C2211yescharacteristic, complemented
125#16839652C2211yescharacteristic, complemented
126#16839652C2211yescharacteristic, complemented
127#16839652C2211yescharacteristic, complemented
128#16839651C2211yescharacteristic, complemented
129#16839651C2211yescharacteristic, complemented
130#16839651C2211yescharacteristic, complemented
131#16839650C2211yescharacteristic, complemented
132#16839650C2211yescharacteristic, complemented
133#16839640C2211yescharacteristic, complemented
134#16839640C2211yescharacteristic, complemented
135#16839640C2211yescharacteristic, complemented
136#16839640C2211yescharacteristic, complemented
137#16839640C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839640C2211yescharacteristic, complemented
140#16839640C2211yescharacteristic, complemented
141#16839638C2211yescharacteristic, complemented
142#16839638C2211yescharacteristic, complemented
143#16839638C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839636C2211yescharacteristic, complemented
146#16839636C2211yescharacteristic, complemented
147#16839633C2211yescharacteristic, complemented
148#16839633C2211yescharacteristic, complemented
149#16839621C2211yescharacteristic, complemented
150#16839619C2211yescharacteristic, complemented
151#16839618C2211yescharacteristic
152#16839617C2211yescharacteristic
153#16839617C2211yescharacteristic
154#16839617C2211yescharacteristic
155#16839617C2211yescharacteristic
156#16839617C2211yescharacteristic
157#16839617C2211yescharacteristic
158#16839617C2211yescharacteristic
159#16839617C2211yescharacteristic
160#16839617C2211yescharacteristic
161#16839617C2211yescharacteristic
162#16839617C2211yescharacteristic
163#16839617C2211yescharacteristic
164#16839617C2211yescharacteristic
165#16839617C2211yescharacteristic
166#16839617C2211yescharacteristic
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic
169#16839617C2211yescharacteristic
170C4×#11758198C2211yescharacteristic, complemented
171#16839609C2211yescharacteristic, complemented
172C61×#399C2211yescharacteristic, complemented
173C61×#397C2211yescharacteristic, complemented
174C61×#397C2211yescharacteristic, complemented
175C61×#397C2211yescharacteristic, complemented
176C61×#396C2211yescharacteristic, complemented
177C61×#396C2211yescharacteristic, complemented
178C61×#388C2211yescharacteristic, complemented
179C61×#388C2211yescharacteristic, complemented
180C61×#388C2211yescharacteristic, complemented
181C61×#388C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic, complemented
183C61×#388C2211yescharacteristic, complemented
184C61×#379C2211yescharacteristic
185C61×#379C2211yescharacteristic
186C61×#379C2211yescharacteristic
187C24×D61—24no—
188C24×D61—42no—
189C24×D61—42no—
190C24×D61—42no—
191C24×D61—42no—
192C24×D61—42no—
193C24×D61—42no—
194C24×D61C2311yescharacteristic
195C24×D61C2311yescharacteristic
196C24×D61C2311yescharacteristic
197C24×D61C2311yescharacteristic
198C24×D61C2311yescharacteristic
199C24×D61C2311yescharacteristic
200C22×Dic122C2311yescharacteristic, complemented
201C22×D244C2311yescharacteristic
202C22×D244C2311yescharacteristic
203C22×D244C2311yescharacteristic
204C22×D244C2311yescharacteristic
205C22×D244C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C22×D244C2311yescharacteristic, complemented
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C22×C22⋊D61C2311yescharacteristic
215C22×C22⋊D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic, complemented
221C22×C4×D61C2311yescharacteristic, complemented
222#14519772—42no—
223#14519770—42no—
224#14519765—42no—
225#14519763—42no—
226#14519762—42no—
227#14519759—42no—
228#14519755—42no—
229#14519752—42no—
230#14519752—42no—
231#14519750—42no—
232#14519747—24no—
233#14519747—24no—
234#14519747—42no—
235#14519747—42no—
236#14519747—42no—
237#14519747—42no—
238#14519747—42no—
239#14519747—42no—
240#14519747—42no—
241#14519747—42no—
242#14519747—42no—
243#14519747—42no—
244#14519746—42no—
245#14519746—42no—
246C4×D244—42no—
247#14519739—42no—
248C2×C4⋊Dic61C2311yescharacteristic, complemented
249C2×C4⋊Dic61C2311yescharacteristic, complemented
250C2×C4⋊Dic61C2311yescharacteristic, complemented
251C2×C4⋊Dic61C2311yescharacteristic, complemented
252C2×#11758196C2311yescharacteristic, complemented
253C2×#11758196C2311yescharacteristic, complemented
254C2×#11758196C2311yescharacteristic, complemented
255C2×#11758196C2311yescharacteristic, complemented
256C2×#11758196C2311yescharacteristic, complemented
257C2×#11758196C2311yescharacteristic, complemented
258C2×#11758196C2311yescharacteristic, complemented
259C2×#11758196C2311yescharacteristic, complemented
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#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, complemented
309C2×#11758198C2311yescharacteristic, complemented
310C2×#11758198C2311yescharacteristic, complemented
311C2×#11758198C2311yescharacteristic, complemented
312C2×#11758198C2311yescharacteristic, complemented
313C2×#11758198C2311yescharacteristic, complemented
314C2×#11758198C2311yescharacteristic, complemented
315C2×#11758198C2311yescharacteristic, complemented
316C2×#11758198C2311yescharacteristic, complemented
317C2×#11758198C2311yescharacteristic, complemented
318C2×#11758198C2311yescharacteristic, complemented
319C2×#11758198C2311yescharacteristic, complemented
320C22⋊C4×D61—42no—
321C22⋊C4×D61—42no—
322C22⋊C4×D61—42no—
323C22⋊C4×D61—42no—
324C22⋊C4×D61—42no—
325C22⋊C4×D61—42no—
326C2×C4×Dic61C2311yescharacteristic, complemented
327C2×C4×Dic61C2311yescharacteristic, complemented
328C2×C4×Dic61C2311yescharacteristic, complemented
329C2×C4×Dic61C2311yescharacteristic, complemented
330#14519684C2311yescharacteristic, complemented
331#14519684C2311yescharacteristic, complemented
332#14519684C2311yescharacteristic, complemented
333#14519684C2311yescharacteristic, complemented
334#14519684C2311yescharacteristic, complemented
335#14519684C2311yescharacteristic, complemented
336#14519684C2311yescharacteristic, complemented
337#14519684C2311yescharacteristic, complemented
338#14519684C2311yescharacteristic, complemented
339#14519684C2311yescharacteristic, complemented
340#14519684C2311yescharacteristic, complemented
341#14519684C2311yescharacteristic, complemented
342#14519684C2311yescharacteristic, complemented
343#14519684C2311yescharacteristic, complemented
344#14519684C2311yescharacteristic, complemented
345#14519684C2311yescharacteristic, complemented
346C25×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic, complemented
348C2×C4⋊C4×C61C2311yescharacteristic, complemented
349C2×C4⋊C4×C61C2311yescharacteristic, complemented
350C2×C4⋊C4×C61C2311yescharacteristic, complemented
351C2×C4⋊C4×C61C2311yescharacteristic, complemented
352C2×C4⋊C4×C61C2311yescharacteristic, complemented
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C42×C61C2311yescharacteristic, complemented
372C2×C42×C61C2311yescharacteristic, complemented
373#95×C61C2311yescharacteristic, complemented
374#95×C61C2311yescharacteristic, complemented
375#95×C61C2311yescharacteristic, complemented
376#95×C61C2311yescharacteristic, complemented
377#95×C61C2311yescharacteristic, complemented
378#95×C61C2311yescharacteristic, complemented
379#95×C61C2311yescharacteristic, complemented
380#95×C61C2311yescharacteristic, complemented
381C24×C61—22no—
382C24×C61—22no—
383C24×C61—22no—
384C24×C61—41no—
385C24×C61—41no—
386C24×C61—41no—
387C24×C61—41no—
388C24×C61C2411yescharacteristic
389C24×C61C2411yescharacteristic
390C24×C61C2411yescharacteristic
391C23×D61—22no—
392C23×D61—22no—
393C23×D61—22no—
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—22no—
399C23×D61—22no—
400C23×D61—22no—
401C23×D61—22no—
402C23×D61—22no—
403C23×D61—22no—
404C23×D61—22no—
405C23×D61—22no—
406C23×D61—22no—
407C23×D61—22no—
408C23×D61—22no—
409C23×D61—22no—
410C23×D61—22no—
411C23×D61—22no—
412C23×D61—41no—
413C23×D61—41no—
414C23×D61—41no—
415C23×D61—41no—
416C23×D61—41no—
417C23×D61—41no—
418C23×D61—41no—
419C23×D61—41no—
420C23×D61—41no—
421C23×D61—41no—
422C23×D61—41no—
423C23×D61—41no—
424C23×D61—41no—
425C23×D61—41no—
426C23×D61—41no—
427C23×D61—41no—
428C23×D61—41no—
429C23×D61—41no—
430C23×D61—41no—
431C23×D61—41no—
432C23×D61—416no—
433C23×D61—416no—
434C23×D61—416no—
435C23×D61—416no—
436C23×D61—416no—
437C23×D61—416no—
438C23×D61—416no—
439C23×D61#4114yes—
440C23×D61C2411yescharacteristic
441C23×D61C2411yescharacteristic
442C23×D61C2411yescharacteristic
443C23×D61C2411yescharacteristic
444C23×D61C2411yescharacteristic
445C23×D61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2411yescharacteristic
456C22×C4×C61C2411yescharacteristic
457C22×C4×C61C2411yescharacteristic
458C2×C22⋊D61—22no—
459C2×C22⋊D61—22no—
460C2×C22⋊D61—22no—
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
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⋊D61—41no—
472C2×C22⋊D61—41no—
473C2×C22⋊D61—41no—
474C2×C22⋊D61—41no—
475C2×C22⋊D61—41no—
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
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—22no—
495C2×D244—22no—
496C2×D244—22no—
497C2×D244—22no—
498C2×D244—41no—
499C2×D244—41no—
500C2×D244—41no—
501C2×D244—41no—
502C2×D244—41no—
503C2×D244—41no—
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×C4×D61—22no—
514C2×C4×D61—22no—
515C2×C4×D61—22no—
516C2×C4×D61—22no—
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×D61—41no—
526C2×C4×D61—41no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×Dic122—41no—
532C2×Dic122—41no—
533C2×Dic122—41no—
534C4⋊C4×C61—41no—
535C4⋊C4×C61—41no—
536C4⋊C4×C61—41no—
537C4⋊C4×C61—41no—
538C4⋊C4×C61—41no—
539C4⋊C4×C61—41no—
540C22⋊C4×C61—22no—
541C22⋊C4×C61—22no—
542C22⋊C4×C61—22no—
543C22⋊C4×C61—22no—
544C22⋊C4×C61—22no—
545C22⋊C4×C61—22no—
546C22⋊C4×C61—41no—
547C22⋊C4×C61—41no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C22⋊C4×C61—41no—
553C22⋊C4×C61—41no—
554C22⋊C4×C61—41no—
555C22⋊C4×C61—41no—
556C22⋊C4×C61—41no—
557C22⋊C4×C61—41no—
558C42×C61—41no—
559C42×C61—41no—
560C22⋊Dic61—22no—
561C22⋊Dic61—22no—
562C22⋊Dic61—22no—
563C22⋊Dic61—22no—
564C22⋊Dic61—41no—
565C22⋊Dic61—41no—
566C22⋊Dic61—41no—
567C22⋊Dic61—41no—
568C22⋊Dic61—41no—
569C22⋊Dic61—41no—
570C22⋊Dic61—41no—
571C22⋊Dic61—41no—
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—22no—
585#11758198—22no—
586#11758198—22no—
587#11758198—22no—
588#11758198—41no—
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#11758198—41no—
611#11758198—41no—
612#11758198—41no—
613#11758198—41no—
614#11758198—41no—
615#11758198—41no—
616#11758198—41no—
617#11758198—41no—
618#11758198—41no—
619#11758198—41no—
620C4⋊Dic61—41no—
621C4⋊Dic61—41no—
622C4⋊Dic61—41no—
623C4⋊Dic61—41no—
624#11758196—41no—
625#11758196—41no—
626#11758196—41no—
627#11758196—41no—
628#11758196—41no—
629#11758196—41no—
630#11758196—41no—
631#11758196—41no—
632C4×Dic61—41no—
633C4×Dic61—41no—
634C4×Dic61—41no—
635C4×Dic61—41no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—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×C61—21no—
651C23×C61—21no—
652C23×C61—21no—
653C23×C61—21no—
654C23×C61—44no—
655C23×C61—44no—
656C23×C61—44no—
657C23×C61—44no—
658C23×C61—44no—
659C23×C61—44no—
660C23×C61—44no—
661C23×C61C2×#4112yes—
662C23×C61H(5,𝔽2)12yes—
663C23×C61H(5,𝔽2)12yes—
664C23×C61C2511yescharacteristic
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—28no—
670C22×D61—28no—
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—21no—
687C22×D61—21no—
688C22×D61—21no—
689C22×D61—28no—
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—21no—
693C22×D61—21no—
694C22×D61—21no—
695C22×D61—21no—
696C22×D61—21no—
697C22×D61—21no—
698C22×D61—21no—
699C22×D61—21no—
700C22×D61—21no—
701C22×D61—21no—
702C22×D61—21no—
703C22×D61—21no—
704C22×D61—44no—
705C22×D61—44no—
706C22×D61—44no—
707C22×D61—44no—
708C22×D61—44no—
709C22×D61—44no—
710C22×D61—44no—
711C22×D61—44no—
712C22×D61—44no—
713C22×D61—44no—
714C22×D61—44no—
715C22×D61—44no—
716C22×D61—44no—
717C22×D61—44no—
718C22×D61—44no—
719C22×D61—44no—
720C22×D61—44no—
721C22×D61—44no—
722C22×D61—44no—
723C22×D61—44no—
724C22×D61—44no—
725C22×D61—44no—
726C22×D61—44no—
727C22×D61—44no—
728C22×D61—44no—
729C22×D61—44no—
730C22×D61—44no—
731C22×D61—44no—
732C22×D61—44no—
733C22×D61—44no—
734C22×D61—44no—
735C22×D61—44no—
736C22×D61—44no—
737C22×D61—44no—
738C22×D61—4128no—
739C22×D61—44no—
740C22×D61—44no—
741C22×D61—44no—
742C22×D61—44no—
743C22×D61—44no—
744C22×D61C2×#4112yes—
745C22×D61C2×#4112yes—
746C22×D61H(5,𝔽2)12yes—
747C22×D61H(5,𝔽2)12yes—
748C22×D61H(5,𝔽2)12yes—
749C22×D61H(5,𝔽2)12yes—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—21no—
784C2×C4×C61—21no—
785C2×C4×C61—21no—
786C22⋊D61—82no—
787C22⋊D61—82no—
788C22⋊D61—82no—
789C22⋊D61—82no—
790C22⋊D61—82no—
791C22⋊D61—82no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—21no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—21no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—21no—
820C2×Dic61—21no—
821C2×Dic61—21no—
822D244—44no—
823D244—44no—
824D244—82no—
825D244—82no—
826D244—82no—
827D244—82no—
828D244—82no—
829D244—82no—
830D244—82no—
831C4×D61—82no—
832C4×D61—82no—
833C4×D61—82no—
834C4×D61—82no—
835C4×D61—82no—
836C4×D61—82no—
837Dic122—82no—
838#36725—611nomaximal, Sylow
839C22×C61—22no—
840C22×C61—22no—
841C22×C61—22no—
842C22×C61—22no—
843C22×C61—22no—
844C22×C61—22no—
845C22×C61—22no—
846C22×C61—22no—
847C22×C61—22no—
848C22×C61—416no—
849C22×C61—41no—
850C22×C61—41no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61—41no—
854C22×C61—41no—
855C22×C61—41no—
856C22×C61—41no—
857C22×C61—41no—
858C22×C61—41no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61C22×#4111yescharacteristic
862C22×C61C2×H(5,𝔽2)11yescharacteristic
863C22×C61C2×H(5,𝔽2)11yescharacteristic
864C22×C61C2×H(5,𝔽2)11yescharacteristic
865C22×C61C2×H(5,𝔽2)11yescharacteristic
866C22×C61C2×H(5,𝔽2)11yescharacteristic
867C22×C61C2×H(5,𝔽2)11yescharacteristic
868C2×D61—22no—
869C2×D61—22no—
870C2×D61—22no—
871C2×D61—22no—
872C2×D61—22no—
873C2×D61—22no—
874C2×D61—22no—
875C2×D61—22no—
876C2×D61—22no—
877C2×D61—22no—
878C2×D61—22no—
879C2×D61—22no—
880C2×D61—22no—
881C2×D61—22no—
882C2×D61—22no—
883C2×D61—416no—
884C2×D61—416no—
885C2×D61—416no—
886C2×D61—416no—
887C2×D61—416no—
888C2×D61—416no—
889C2×D61—41no—
890C2×D61—41no—
891C2×D61—41no—
892C2×D61—41no—
893C2×D61—41no—
894C2×D61—41no—
895C2×D61—41no—
896C2×D61—41no—
897C2×D61—41no—
898C2×D61—41no—
899C2×D61—41no—
900C2×D61—41no—
901C2×D61—41no—
902C2×D61—41no—
903C2×D61—41no—
904C2×D61—41no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—41no—
912C2×D61—41no—
913C2×D61—41no—
914C2×D61—41no—
915C2×D61#53814yes—
916C4×C61—41no—
917C4×C61—41no—
918C4×C61—41no—
919C4×C61—41no—
920C4×C61—41no—
921C4×C61—41no—
922C4×C61—41no—
923C4×C61—41no—
924C4×C61—41no—
925C4×C61—41no—
926C4×C61—41no—
927C4×C61—41no—
928Dic61—41no—
929Dic61—41no—
930Dic61—41no—
931Dic61—41no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935Dic61—41no—
936Dic61—41no—
937Dic61—41no—
938#2846—611no—
939#2846—611no—
940#2736—611no—
941#2735—611no—
942#2735—611no—
943#2735D6111yescharacteristic, complemented
944#2697—611no—
945#2697—611no—
946#2685—611no—
947#2685—611no—
948#2685—611no—
949#2685—611no—
950#2684—611no—
951#2684—611no—
952#2678—611no—
953#2678—611no—
954#2670—611no—
955#2668—611no—
956#2626—611no—
957#2617—611no—
958#2480—611no—
959#2480—611no—
960#2472—611no—
961#2472—611no—
962#2424—611no—
963#2424—611no—
964#2418—611no—
965#2418—611no—
966#2321—611no—
967#2321—611no—
968C2×#379—611no—
969C2×C61—42no—
970C2×C61—42no—
971C2×C61—42no—
972C2×C61C2×#53811yescharacteristic
973C2×C61#349011yescharacteristic
974C2×C61#349011yescharacteristic
975C2×C61#353211yescharacteristic
976C2×C61#353211yescharacteristic
977C2×C61#353211yescharacteristic
978C2×C61#353211yescharacteristic
979D61—24no—
980D61—42no—
981D61—42no—
982D61—42no—
983D61—81no—
984D61—81no—
985C26—611no—
986C2×#126—611no—
987C2×#126—611no—
988C2×#124—611no—
989C2×#124—611no—
990C2×#123—611no—
991C2×#123—611no—
992C2×C22⋊Q8—611no—
993C2×#121—611no—
994C2×#121—611no—
995C2×#121—611no—
996C2×#120—611no—
997C2×#120—611no—
998C2×#120—611no—
999C2×#120—611no—
1000C2×#120—611no—
1001C2×#120—611no—
1002C2×#120—611no—
1003C2×#120—611no—
1004C2×#120—611no—
1005C2×#120—611no—
1006C2×#120—611no—
1007C2×#120—611no—
1008C2×#120—611no—
1009C2×#120—611no—
1010C2×C4×D4—611no—
1011C2×C4×D4—611no—
1012C22×C22⋊C4—611no—
1013C22×C22⋊C4—611no—
1014C22×C22⋊C4—611no—
1015C22×C22⋊C4—611no—
1016C22×C22⋊C4—611no—
1017C22×C22⋊C4—611no—
1018#399—611no—
1019#399—611no—
1020#399—611no—
1021#399C2×D6111yescharacteristic, complemented
1022#397—611no—
1023#397—611no—
1024#397—611no—
1025#397—611no—
1026#397—611no—
1027#397—611no—
1028#397—611no—
1029#397—611no—
1030#397—611no—
1031#397C2×D6111yescharacteristic, complemented
1032#397C2×D6111yescharacteristic, complemented
1033#397C2×D6111yescharacteristic, complemented
1034#396—611no—
1035#396—611no—
1036#396—611no—
1037#396—611no—
1038#396—611no—
1039#396—611no—
1040#396C2×D6111yescharacteristic, complemented
1041#396C2×D6111yescharacteristic, complemented
1042#394—611no—
1043#394—611no—
1044#394—611no—
1045#394—611no—
1046#394—611no—
1047#394—611no—
1048#394—611no—
1049#394—611no—
1050#394—611no—
1051#394—611no—
1052#394—611no—
1053#394—611no—
1054#394—611no—
1055#394—611no—
1056#394—611no—
1057#394—611no—
1058#393—611no—
1059#393—611no—
1060#393—611no—
1061#393—611no—
1062#392—611no—
1063#392—611no—
1064#392—611no—
1065#392—611no—
1066#390—611no—
1067#390—611no—
1068#390—611no—
1069#390—611no—
1070#390—611no—
1071#390—611no—
1072#390—611no—
1073#390—611no—
1074#388—611no—
1075#388—611no—
1076#388—611no—
1077#388—611no—
1078#388—611no—
1079#388—611no—
1080#388—611no—
1081#388—611no—
1082#388—611no—
1083#388—611no—
1084#388—611no—
1085#388—611no—
1086#388—611no—
1087#388—611no—
1088#388—611no—
1089#388—611no—
1090#388—611no—
1091#388—611no—
1092#388C2×D6111yescharacteristic, complemented
1093#388C2×D6111yescharacteristic, complemented
1094#388C2×D6111yescharacteristic, complemented
1095#388C2×D6111yescharacteristic, complemented
1096#388C2×D6111yescharacteristic, complemented
1097#388C2×D6111yescharacteristic, complemented
1098#386—611no—
1099#386—611no—
1100#386—611no—
1101#386—611no—
1102#386—611no—
1103#386—611no—
1104#386—611no—
1105#386—611no—
1106#386—611no—
1107#386—611no—
1108#386—611no—
1109#386—611no—
1110#385—611no—
1111#385—611no—
1112#385—611no—
1113#385—611no—
1114#380—611no—
1115#380—611no—
1116#379—611no—
1117#379—611no—
1118#379—611no—
1119#379—611no—
1120#379—611no—
1121#379—611no—
1122#379—611no—
1123#379—611no—
1124#379—611no—
1125#379—611no—
1126#379—611no—
1127#379—611no—
1128#379—611no—
1129#379—611no—
1130#379—611no—
1131#379—611no—
1132#379—611no—
1133#379—611no—
1134#379—611no—
1135#379C2×D6111yescharacteristic
1136#379C2×D6111yescharacteristic
1137#379C2×D6111yescharacteristic
1138C4×C22⋊C4—611no—
1139C4×C22⋊C4—611no—
1140C61#3672511yescharacteristic, complemented, Sylow
1141C25—611no—
1142C25—611no—
1143C25—611no—
1144C25—611no—
1145C25—611no—
1146C25—611no—
1147C25—1224no—
1148C25—2442no—
1149C25—2442no—
1150C25—2442no—
1151C25—2442no—
1152C25—2442no—
1153C25—2442no—
1154C25C22×D6111yescharacteristic
1155C22×Q8—611no—
1156C22×D4—611no—
1157C22×D4—611no—
1158C22×D4—611no—
1159C22×D4—611no—
1160C22×D4—611no—
1161C22×D4—611no—
1162C22×D4—611no—
1163C22×D4—611no—
1164C22×D4—611no—
1165C22×D4—611no—
1166C22×D4—611no—
1167C22×D4—611no—
1168C22×D4—611no—
1169C22×D4—611no—
1170C22×D4—611no—
1171C23×C4—611no—
1172C23×C4—611no—
1173C23×C4—611no—
1174C23×C4—611no—
1175C23×C4—611no—
1176C23×C4—611no—
1177#126—2442no—
1178#126—2442no—
1179#124—2442no—
1180#124—2442no—
1181#123—2442no—
1182#123—2442no—
1183C22⋊Q8—2442no—
1184#121—2442no—
1185#121—2442no—
1186#121—2442no—
1187#120—1224no—
1188#120—1224no—
1189#120—2442no—
1190#120—2442no—
1191#120—2442no—
1192#120—2442no—
1193#120—2442no—
1194#120—2442no—
1195#120—2442no—
1196#120—2442no—
1197#120—2442no—
1198#120—2442no—
1199#120—2442no—
1200#120—2442no—
1201C4×D4—2442no—
1202C4×D4—2442no—
1203C2×C4⋊C4—611no—
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—611no—
1206C2×C4⋊C4—611no—
1207C2×C4⋊C4—611no—
1208C2×C4⋊C4—611no—
1209C2×C4⋊C4—611no—
1210C2×C4⋊C4—611no—
1211C2×C4⋊C4—611no—
1212C2×C4⋊C4—611no—
1213C2×C4⋊C4—611no—
1214C2×C4⋊C4—611no—
1215C2×C4⋊C4C22×D6111yescharacteristic, complemented
1216C2×C4⋊C4C22×D6111yescharacteristic, complemented
1217C2×C4⋊C4C22×D6111yescharacteristic, complemented
1218C2×C4⋊C4C22×D6111yescharacteristic, complemented
1219C2×C4⋊C4C22×D6111yescharacteristic, complemented
1220C2×C4⋊C4C22×D6111yescharacteristic, complemented
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—611no—
1243C2×C22⋊C4—611no—
1244C2×C22⋊C4—611no—
1245C2×C22⋊C4—611no—
1246C2×C22⋊C4—611no—
1247C2×C22⋊C4—611no—
1248C2×C22⋊C4—611no—
1249C2×C22⋊C4—611no—
1250C2×C22⋊C4—611no—
1251C2×C22⋊C4—611no—
1252C2×C22⋊C4—611no—
1253C2×C22⋊C4—611no—
1254C2×C22⋊C4—611no—
1255C2×C22⋊C4—611no—
1256C2×C22⋊C4—611no—
1257C2×C22⋊C4—611no—
1258C2×C22⋊C4—611no—
1259C2×C22⋊C4—611no—
1260C2×C22⋊C4—611no—
1261C2×C22⋊C4—611no—
1262C2×C22⋊C4—611no—
1263C2×C22⋊C4—611no—
1264C2×C22⋊C4—611no—
1265C2×C22⋊C4—611no—
1266C2×C22⋊C4—611no—
1267C2×C22⋊C4—611no—
1268C2×C22⋊C4—611no—
1269C2×C22⋊C4—611no—
1270C2×C22⋊C4—611no—
1271C2×C22⋊C4—611no—
1272C2×C22⋊C4—611no—
1273C2×C22⋊C4—611no—
1274C2×C22⋊C4—611no—
1275C2×C22⋊C4—611no—
1276C2×C22⋊C4—611no—
1277C2×C22⋊C4—611no—
1278C2×C22⋊C4—611no—
1279C2×C22⋊C4—611no—
1280C2×C22⋊C4—611no—
1281C2×C22⋊C4—2442no—
1282C2×C22⋊C4—2442no—
1283C2×C22⋊C4—2442no—
1284C2×C22⋊C4—2442no—
1285C2×C22⋊C4—2442no—
1286C2×C22⋊C4—2442no—
1287C2×C22⋊C4C22×D6111yescharacteristic
1288C2×C22⋊C4C22×D6111yescharacteristic
1289C2×C22⋊C4C22×D6111yescharacteristic
1290C2×C22⋊C4C22×D6111yescharacteristic
1291C2×C22⋊C4C22×D6111yescharacteristic
1292C2×C22⋊C4C22×D6111yescharacteristic
1293C2×C22⋊C4C22×D6111yescharacteristic
1294C2×C22⋊C4C22×D6111yescharacteristic
1295C2×C22⋊C4C22×D6111yescharacteristic
1296C2×C22⋊C4C22×D6111yescharacteristic
1297C2×C22⋊C4C22×D6111yescharacteristic
1298C2×C22⋊C4C22×D6111yescharacteristic
1299C2×C22⋊C4C22×D6111yescharacteristic
1300C2×C22⋊C4C22×D6111yescharacteristic
1301C2×C22⋊C4C22×D6111yescharacteristic
1302C2×C22⋊C4C22×D6111yescharacteristic
1303C2×C22⋊C4C22×D6111yescharacteristic
1304C2×C22⋊C4C22×D6111yescharacteristic
1305C2×C42—611no—
1306C2×C42—611no—
1307C2×C42—611no—
1308C2×C42—611no—
1309C2×C42C22×D6111yescharacteristic, complemented
1310C2×C42C22×D6111yescharacteristic, complemented
1311#95—611no—
1312#95—611no—
1313#95—611no—
1314#95—611no—
1315#95—611no—
1316#95—611no—
1317#95—611no—
1318#95—611no—
1319#95—611no—
1320#95—611no—
1321#95—611no—
1322#95—611no—
1323#95—611no—
1324#95—611no—
1325#95—611no—
1326#95—611no—
1327#95C22×D6111yescharacteristic, complemented
1328#95C22×D6111yescharacteristic, complemented
1329#95C22×D6111yescharacteristic, complemented
1330#95C22×D6111yescharacteristic, complemented
1331#95C22×D6111yescharacteristic, complemented
1332#95C22×D6111yescharacteristic, complemented
1333#95C22×D6111yescharacteristic, complemented
1334#95C22×D6111yescharacteristic, complemented
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—41no—
1339C24—41no—
1340C24—41no—
1341C24—41no—
1342C24—611no—
1343C24—611no—
1344C24—611no—
1345C24—611no—
1346C24—614no—
1347C24—611no—
1348C24—611no—
1349C24—1222no—
1350C24—1222no—
1351C24—1222no—
1352C24—1222no—
1353C24—1222no—
1354C24—1222no—
1355C24—1222no—
1356C24—1222no—
1357C24—1222no—
1358C24—1222no—
1359C24—1222no—
1360C24—1222no—
1361C24—1222no—
1362C24—1222no—
1363C24—1222no—
1364C24—1222no—
1365C24—1222no—
1366C24—1222no—
1367C24—1222no—
1368C24—1222no—
1369C24—1222no—
1370C24—2441no—
1371C24—2441no—
1372C24—2441no—
1373C24—2441no—
1374C24—2441no—
1375C24—2441no—
1376C24—2441no—
1377C24—2441no—
1378C24—2441no—
1379C24—2441no—
1380C24—2441no—
1381C24—2441no—
1382C24—2441no—
1383C24—2441no—
1384C24—2441no—
1385C24—2441no—
1386C24—2441no—
1387C24—2441no—
1388C24—2441no—
1389C24—2441no—
1390C24—24416no—
1391C24—24416no—
1392C24—24416no—
1393C24—24416no—
1394C24—24416no—
1395C24—24416no—
1396C24—24416no—
1397C24C23×D6111yescharacteristic
1398C24C23×D6111yescharacteristic
1399C24C23×D6111yescharacteristic
1400C2×Q8—2441no—
1401C2×Q8—2441no—
1402C2×Q8—2441no—
1403C2×D4—1222no—
1404C2×D4—1222no—
1405C2×D4—1222no—
1406C2×D4—1222no—
1407C2×D4—1222no—
1408C2×D4—1222no—
1409C2×D4—1222no—
1410C2×D4—1222no—
1411C2×D4—1222no—
1412C2×D4—1222no—
1413C2×D4—1222no—
1414C2×D4—1222no—
1415C2×D4—1222no—
1416C2×D4—1222no—
1417C2×D4—1222no—
1418C2×D4—1222no—
1419C2×D4—1222no—
1420C2×D4—1222no—
1421C2×D4—2441no—
1422C2×D4—2441no—
1423C2×D4—2441no—
1424C2×D4—2441no—
1425C2×D4—2441no—
1426C2×D4—2441no—
1427C2×D4—2441no—
1428C2×D4—2441no—
1429C2×D4—2441no—
1430C2×D4—2441no—
1431C2×D4—2441no—
1432C2×D4—2441no—
1433C2×D4—2441no—
1434C2×D4—2441no—
1435C2×D4—2441no—
1436C2×D4—2441no—
1437C2×D4—2441no—
1438C2×D4—2441no—
1439C2×D4—2441no—
1440C2×D4—2441no—
1441C2×D4—2441no—
1442C2×D4—2441no—
1443C2×D4—2441no—
1444C2×D4—2441no—
1445C2×D4—2441no—
1446C2×D4—2441no—
1447C2×D4—2441no—
1448C22×C4—611no—
1449C22×C4—611no—
1450C22×C4—611no—
1451C22×C4—611no—
1452C22×C4—611no—
1453C22×C4—611no—
1454C22×C4—611no—
1455C22×C4—611no—
1456C22×C4—611no—
1457C22×C4—611no—
1458C22×C4—1222no—
1459C22×C4—1222no—
1460C22×C4—1222no—
1461C22×C4—1222no—
1462C22×C4—2441no—
1463C22×C4—2441no—
1464C22×C4—2441no—
1465C22×C4—2441no—
1466C22×C4—2441no—
1467C22×C4—2441no—
1468C22×C4—2441no—
1469C22×C4—2441no—
1470C22×C4—2441no—
1471C22×C4—2441no—
1472C22×C4—2441no—
1473C22×C4—2441no—
1474C22×C4—2441no—
1475C22×C4—2441no—
1476C22×C4C23×D6111yescharacteristic
1477C22×C4C23×D6111yescharacteristic
1478C22×C4C23×D6111yescharacteristic
1479C22×C4C23×D6111yescharacteristic
1480C22×C4C23×D6111yescharacteristic
1481C22×C4C23×D6111yescharacteristic
1482C22×C4C23×D6111yescharacteristic
1483C22×C4C23×D6111yescharacteristic
1484C22×C4C23×D6111yescharacteristic
1485C22×C4C23×D6111yescharacteristic
1486C22×C4C23×D6111yescharacteristic
1487C22×C4C23×D6111yescharacteristic
1488C4⋊C4—41no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—41no—
1492C4⋊C4—41no—
1493C4⋊C4—41no—
1494C4⋊C4—2441no—
1495C4⋊C4—2441no—
1496C4⋊C4—2441no—
1497C4⋊C4—2441no—
1498C4⋊C4—2441no—
1499C4⋊C4—2441no—
1500C4⋊C4—2441no—
1501C4⋊C4—2441no—
1502C4⋊C4—2441no—
1503C4⋊C4—2441no—
1504C4⋊C4—2441no—
1505C4⋊C4—2441no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—1222no—
1525C22⋊C4—1222no—
1526C22⋊C4—1222no—
1527C22⋊C4—1222no—
1528C22⋊C4—1222no—
1529C22⋊C4—1222no—
1530C22⋊C4—1222no—
1531C22⋊C4—1222no—
1532C22⋊C4—1222no—
1533C22⋊C4—1222no—
1534C22⋊C4—1222no—
1535C22⋊C4—1222no—
1536C22⋊C4—1222no—
1537C22⋊C4—1222no—
1538C22⋊C4—1222no—
1539C22⋊C4—1222no—
1540C22⋊C4—1222no—
1541C22⋊C4—1222no—
1542C22⋊C4—1222no—
1543C22⋊C4—1222no—
1544C22⋊C4—2441no—
1545C22⋊C4—2441no—
1546C22⋊C4—2441no—
1547C22⋊C4—2441no—
1548C22⋊C4—2441no—
1549C22⋊C4—2441no—
1550C22⋊C4—2441no—
1551C22⋊C4—2441no—
1552C22⋊C4—2441no—
1553C22⋊C4—2441no—
1554C22⋊C4—2441no—
1555C22⋊C4—2441no—
1556C22⋊C4—2441no—
1557C22⋊C4—2441no—
1558C22⋊C4—2441no—
1559C22⋊C4—2441no—
1560C22⋊C4—2441no—
1561C22⋊C4—2441no—
1562C22⋊C4—2441no—
1563C22⋊C4—2441no—
1564C22⋊C4—2441no—
1565C22⋊C4—2441no—
1566C22⋊C4—2441no—
1567C22⋊C4—2441no—
1568C22⋊C4—2441no—
1569C22⋊C4—2441no—
1570C22⋊C4—2441no—
1571C22⋊C4—2441no—
1572C22⋊C4—2441no—
1573C22⋊C4—2441no—
1574C22⋊C4—2441no—
1575C22⋊C4—2441no—
1576C22⋊C4—2441no—
1577C22⋊C4—2441no—
1578C22⋊C4—2441no—
1579C22⋊C4—2441no—
1580C22⋊C4—2441no—
1581C22⋊C4—2441no—
1582C22⋊C4—2441no—
1583C22⋊C4—2441no—
1584C42—41no—
1585C42—41no—
1586C42—2441no—
1587C42—2441no—
1588C42—2441no—
1589C42—2441no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—612no—
1616C23—612no—
1617C23—612no—
1618C23—612no—
1619C23—612no—
1620C23—612no—
1621C23—1228no—
1622C23—1228no—
1623C23—1228no—
1624C23—1221no—
1625C23—1221no—
1626C23—1221no—
1627C23—1221no—
1628C23—1221no—
1629C23—1221no—
1630C23—1221no—
1631C23—1221no—
1632C23—1221no—
1633C23—1221no—
1634C23—1221no—
1635C23—1221no—
1636C23—1221no—
1637C23—1221no—
1638C23—1221no—
1639C23—1221no—
1640C23—1221no—
1641C23—1221no—
1642C23—1221no—
1643C23—1221no—
1644C23—1221no—
1645C23—1221no—
1646C23—1221no—
1647C23—1221no—
1648C23—1221no—
1649C23—1221no—
1650C23—1221no—
1651C23—1221no—
1652C23—1221no—
1653C23—1221no—
1654C23—1221no—
1655C23—1221no—
1656C23—1221no—
1657C23—1221no—
1658C23—1221no—
1659C23—1221no—
1660C23—2444no—
1661C23—2444no—
1662C23—2444no—
1663C23—2444no—
1664C23—2444no—
1665C23—2444no—
1666C23—2444no—
1667C23—2444no—
1668C23—2444no—
1669C23—2444no—
1670C23—2444no—
1671C23—2444no—
1672C23—2444no—
1673C23—2444no—
1674C23—2444no—
1675C23—2444no—
1676C23—2444no—
1677C23—2444no—
1678C23—2444no—
1679C23—2444no—
1680C23—2444no—
1681C23—2444no—
1682C23—2444no—
1683C23—2444no—
1684C23—2444no—
1685C23—2444no—
1686C23—2444no—
1687C23—2444no—
1688C23—2444no—
1689C23—2444no—
1690C23—2444no—
1691C23—2444no—
1692C23—2444no—
1693C23—2444no—
1694C23—2444no—
1695C23—2444no—
1696C23—244128no—
1697C23—2444no—
1698C23—2444no—
1699C23—2444no—
1700C23#41×D6112yes—
1701C23#1451982312yes—
1702C23#1451982312yes—
1703C23C24×D6111yescharacteristic
1704Q8—4882no—
1705D4—4882no—
1706D4—4882no—
1707D4—4882no—
1708D4—4882no—
1709D4—4882no—
1710D4—4882no—
1711D4—4882no—
1712D4—4882no—
1713D4—4882no—
1714D4—4882no—
1715D4—4882no—
1716D4—4882no—
1717D4—4882no—
1718D4—2444no—
1719D4—2444no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—1221no—
1757C2×C4—1221no—
1758C2×C4—1221no—
1759C2×C4—1221no—
1760C2×C4—1221no—
1761C2×C4—1221no—
1762C2×C4—1221no—
1763C2×C4—1221no—
1764C2×C4—1221no—
1765C2×C4—1221no—
1766C2×C4—1221no—
1767C2×C4—1221no—
1768C2×C4—1221no—
1769C2×C4—1221no—
1770C2×C4—1221no—
1771C2×C4—1221no—
1772C2×C4—1221no—
1773C2×C4—1221no—
1774C2×C4—1221no—
1775C2×C4—1221no—
1776C2×C4—1221no—
1777C2×C4—1221no—
1778C2×C4—1221no—
1779C2×C4—1221no—
1780C2×C4—1221no—
1781C2×C4—1221no—
1782C2×C4—1221no—
1783C2×C4—1221no—
1784C2×C4—1221no—
1785C2×C4—1221no—
1786C2×C4—4882no—
1787C2×C4—4882no—
1788C2×C4—4882no—
1789C2×C4—4882no—
1790C2×C4—4882no—
1791C2×C4—4882no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—416no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—614no—
1815C22—1222no—
1816C22—1222no—
1817C22—1222no—
1818C22—1222no—
1819C22—1222no—
1820C22—1222no—
1821C22—1222no—
1822C22—1222no—
1823C22—1222no—
1824C22—1222no—
1825C22—1222no—
1826C22—1222no—
1827C22—1222no—
1828C22—1222no—
1829C22—1222no—
1830C22—24416no—
1831C22—24416no—
1832C22—24416no—
1833C22—24416no—
1834C22—24416no—
1835C22—24416no—
1836C22—2441no—
1837C22—2441no—
1838C22—2441no—
1839C22—2441no—
1840C22—2441no—
1841C22—2441no—
1842C22—2441no—
1843C22—2441no—
1844C22—2441no—
1845C22—2441no—
1846C22—2441no—
1847C22—2441no—
1848C22—2441no—
1849C22—2441no—
1850C22—2441no—
1851C22—2441no—
1852C22—2441no—
1853C22—2441no—
1854C22—2441no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22—2441no—
1862C22C2×#41×D6111yescharacteristic
1863C22H(5,𝔽2)×D6111yescharacteristic
1864C22H(5,𝔽2)×D6111yescharacteristic
1865C22H(5,𝔽2)×D6111yescharacteristic
1866C22H(5,𝔽2)×D6111yescharacteristic
1867C22C2×#1451982311yescharacteristic
1868C22C2×#1451982311yescharacteristic
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—2441no—
1882C4—2441no—
1883C4—2441no—
1884C4—2441no—
1885C4—2441no—
1886C4—2441no—
1887C4—2441no—
1888C4—2441no—
1889C4—2441no—
1890C4—2441no—
1891C2—42no—
1892C2—42no—
1893C2—42no—
1894C2—1224no—
1895C2—4881no—
1896C2—4881no—
1897C2—2442no—
1898C2—2442no—
1899C2—2442no—
1900C2#538×D6111yescharacteristic
1901C2#2145950311yescharacteristic
1902C2#2145950311yescharacteristic
1903C2#2145997011yescharacteristic
1904C2#2145997011yescharacteristic
1905C2#2145997211yescharacteristic
1906C2#2145997511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2735C2
hypercenter#2735D61
hypocenterC61#36725
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2735

Complements

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

NH ≅ G/Ntype
1. #21454097C2semidirect
2. #21454097C2semidirect
3. #21452864C2semidirect
4. #21452862C2semidirect
5. #21452859C2semidirect
6. #21452384C2semidirect
7. #21452379C2semidirect
8. #21452210C2semidirect
9. #21452208C2semidirect
10. #21452207C2semidirect
11. #21452203C2semidirect
12. #21452200C2semidirect
13. #21452199C2semidirect
14. #21452149C2semidirect
15. #21452148C2semidirect
16. #21452043C2semidirect
17. #21452029C2semidirect
18. #21451629C2semidirect
19. #21451554C2semidirect
20. #21450071C2semidirect
21. #21450060C2semidirect
22. #21449949C2semidirect
23. #21449938C2semidirect
24. #21449360C2semidirect
25. #21449350C2semidirect
26. #21449286C2semidirect
27. #21449284C2semidirect
28. #21448481C2semidirect
29. #21448472C2semidirect
30. #379×D61C2semidirect
31. C61×#2735C2semidirect
33. C2×#14519772C22semidirect
34. C2×#14519770C22semidirect
35. C2×#14519765C22semidirect
36. C2×#14519763C22semidirect
37. C2×#14519762C22semidirect
38. C2×#14519759C22semidirect
39. C2×#14519755C22semidirect
40. C2×#14519752C22semidirect
41. C2×#14519752C22semidirect
42. C2×#14519750C22semidirect
57. C2×C4×D244C22semidirect
58. C2×#14519739C22semidirect
65. #16839699C22semidirect
66. #16839698C22semidirect
67. #16839697C22semidirect
68. #16839691C22semidirect
69. #16839691C22semidirect
70. #16839691C22semidirect
71. #16839691C22semidirect
72. #16839690C22semidirect
73. #16839690C22semidirect
74. #16839688C22semidirect
75. #16839688C22semidirect
76. #16839687C22semidirect
77. #16839686C22semidirect
78. #16839685C22semidirect
79. #16839685C22semidirect
80. #16839684C22semidirect
81. #16839684C22semidirect
82. #16839684C22semidirect
83. #16839680C22semidirect
84. #16839680C22semidirect
85. #16839680C22semidirect
86. #16839680C22semidirect
87. #16839679C22semidirect
88. #16839679C22semidirect
89. #16839679C22semidirect
90. #16839679C22semidirect
91. #16839678C22semidirect
92. #16839678C22semidirect
93. #16839678C22semidirect
94. #16839678C22semidirect
95. #16839677C22semidirect
96. #16839677C22semidirect
97. #16839677C22semidirect
98. #16839677C22semidirect
99. #16839675C22semidirect
100. #16839675C22semidirect
101. #16839674C22semidirect
102. #16839674C22semidirect
103. #16839672C22semidirect
104. #16839672C22semidirect
105. #16839671C22semidirect
106. #16839671C22semidirect
107. #16839664C22semidirect
108. #16839664C22semidirect
109. #16839663C22semidirect
110. #16839663C22semidirect
111. #16839662C22semidirect
112. #16839662C22semidirect
113. #16839662C22semidirect
114. #16839662C22semidirect
115. #16839656C22semidirect
116. #16839656C22semidirect
117. #16839655C22semidirect
118. #16839655C22semidirect
119. #16839654C22semidirect
120. #16839654C22semidirect
121. #16839654C22semidirect
122. #16839653C22semidirect
123. #16839653C22semidirect
124. #16839653C22semidirect
125. #16839652C22semidirect
126. #16839652C22semidirect
127. #16839652C22semidirect
128. #16839651C22semidirect
129. #16839651C22semidirect
130. #16839651C22semidirect
131. #16839650C22semidirect
132. #16839650C22semidirect
133. #16839640C22semidirect
134. #16839640C22semidirect
135. #16839640C22semidirect
136. #16839640C22semidirect
137. #16839640C22semidirect
138. #16839640C22semidirect
139. #16839640C22semidirect
140. #16839640C22semidirect
141. #16839638C22semidirect
142. #16839638C22semidirect
143. #16839638C22semidirect
144. #16839638C22semidirect
145. #16839636C22semidirect
146. #16839636C22semidirect
147. #16839633C22semidirect
148. #16839633C22semidirect
149. #16839621C22semidirect
150. #16839619C22semidirect
170. C4×#11758198C22semidirect
171. #16839609C22semidirect
172. C61×#399C22semidirect
173. C61×#397C22semidirect
174. C61×#397C22semidirect
175. C61×#397C22semidirect
176. C61×#396C22semidirect
177. C61×#396C22semidirect
178. C61×#388C22semidirect
179. C61×#388C22semidirect
180. C61×#388C22semidirect
181. C61×#388C22semidirect
182. C61×#388C22semidirect
183. C61×#388C22semidirect
200. C22×Dic122C23semidirect
209. C22×D244C23semidirect
220. C22×C4×D61C23semidirect
221. C22×C4×D61C23semidirect
248. C2×C4⋊Dic61C23semidirect
249. C2×C4⋊Dic61C23semidirect
250. C2×C4⋊Dic61C23semidirect
251. C2×C4⋊Dic61C23semidirect
252. C2×#11758196C23semidirect
253. C2×#11758196C23semidirect
254. C2×#11758196C23semidirect
255. C2×#11758196C23semidirect
256. C2×#11758196C23semidirect
257. C2×#11758196C23semidirect
258. C2×#11758196C23semidirect
259. C2×#11758196C23semidirect
308. C2×#11758198C23semidirect
309. C2×#11758198C23semidirect
310. C2×#11758198C23semidirect
311. C2×#11758198C23semidirect
312. C2×#11758198C23semidirect
313. C2×#11758198C23semidirect
314. C2×#11758198C23semidirect
315. C2×#11758198C23semidirect
316. C2×#11758198C23semidirect
317. C2×#11758198C23semidirect
318. C2×#11758198C23semidirect
319. C2×#11758198C23semidirect
326. C2×C4×Dic61C23semidirect
327. C2×C4×Dic61C23semidirect
328. C2×C4×Dic61C23semidirect
329. C2×C4×Dic61C23semidirect
330. #14519684C23semidirect
331. #14519684C23semidirect
332. #14519684C23semidirect
333. #14519684C23semidirect
334. #14519684C23semidirect
335. #14519684C23semidirect
336. #14519684C23semidirect
337. #14519684C23semidirect
338. #14519684C23semidirect
339. #14519684C23semidirect
340. #14519684C23semidirect
341. #14519684C23semidirect
342. #14519684C23semidirect
343. #14519684C23semidirect
344. #14519684C23semidirect
345. #14519684C23semidirect
347. C2×C4⋊C4×C61C23semidirect
348. C2×C4⋊C4×C61C23semidirect
349. C2×C4⋊C4×C61C23semidirect
350. C2×C4⋊C4×C61C23semidirect
351. C2×C4⋊C4×C61C23semidirect
352. C2×C4⋊C4×C61C23semidirect
371. C2×C42×C61C23semidirect
372. C2×C42×C61C23semidirect
373. #95×C61C23semidirect
374. #95×C61C23semidirect
375. #95×C61C23semidirect
376. #95×C61C23semidirect
377. #95×C61C23semidirect
378. #95×C61C23semidirect
379. #95×C61C23semidirect
380. #95×C61C23semidirect
943. #2735D61semidirect
1021. #399C2×D61semidirect
1031. #397C2×D61semidirect
1032. #397C2×D61semidirect
1033. #397C2×D61semidirect
1040. #396C2×D61semidirect
1041. #396C2×D61semidirect
1092. #388C2×D61semidirect
1093. #388C2×D61semidirect
1094. #388C2×D61semidirect
1095. #388C2×D61semidirect
1096. #388C2×D61semidirect
1097. #388C2×D61semidirect
1140. C61#36725semidirect
1215. C2×C4⋊C4C22×D61semidirect
1216. C2×C4⋊C4C22×D61semidirect
1217. C2×C4⋊C4C22×D61semidirect
1218. C2×C4⋊C4C22×D61semidirect
1219. C2×C4⋊C4C22×D61semidirect
1220. C2×C4⋊C4C22×D61semidirect
1309. C2×C42C22×D61semidirect
1310. C2×C42C22×D61semidirect
1327. #95C22×D61semidirect
1328. #95C22×D61semidirect
1329. #95C22×D61semidirect
1330. #95C22×D61semidirect
1331. #95C22×D61semidirect
1332. #95C22×D61semidirect
1333. #95C22×D61semidirect
1334. #95C22×D61semidirect

Maximal subgroups

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

subgroupindex
#214540972
#214528642
#214528622
#214528592
#214523842
#214523792
#214522102
#214522082
#214522072
#214522032
#214522002
#214521992
#214521492
#214521482
#214520432
#214520292
#214516292
#214515542
#214500712
#214500602
#214499492
#214499382
#214493602
#214493502
#214492862
#214492842
#214484812
#214484722
#379×D612
C61×#27352
#3672561