Finite Group Databasebeta

← #29852629

Subgroups — #29852629

Order 15616.

2902 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840353C211yesmaximal, characteristic, complemented
2C2×C4×D4×D61C211yesmaximal, characteristic, complemented
3#21454143C211yesmaximal, characteristic, complemented
4#21454139C211yesmaximal, characteristic, complemented
5#21454107C211yesmaximal, characteristic, complemented
6#21454100C211yesmaximal, characteristic, complemented
7#21451625C211yesmaximal, characteristic, complemented
8#21451558C211yesmaximal, characteristic, complemented
9#21451532C211yesmaximal, characteristic, complemented
10#21451530C211yesmaximal, characteristic, complemented
11#21449877C211yesmaximal, characteristic, complemented
12#21449873C211yesmaximal, characteristic, complemented
13#21449866C211yesmaximal, characteristic, complemented
14#21449817C211yesmaximal, characteristic, complemented
15#21449814C211yesmaximal, characteristic, complemented
16#21449811C211yesmaximal, characteristic, complemented
17#21449810C211yesmaximal, characteristic, complemented
18#21449775C211yesmaximal, characteristic, complemented
19#21449771C211yesmaximal, characteristic, complemented
20#21449770C211yesmaximal, characteristic, complemented
21#21449766C211yesmaximal, characteristic, complemented
22#21449717C211yesmaximal, characteristic, complemented
23#21449713C211yesmaximal, characteristic, complemented
24#21449708C211yesmaximal, characteristic, complemented
25#21449704C211yesmaximal, characteristic, complemented
26#21448481C211yesmaximal, characteristic, complemented
27#21448478C211yesmaximal, characteristic, complemented
28#21448418C211yesmaximal, characteristic, complemented
29#21448324C211yesmaximal, characteristic, complemented
30C4×#14519747C211yesmaximal, characteristic, complemented
31C61×#2467C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840353—28no—
36C2×#14519772C2211yescharacteristic, complemented
37C2×#14519769C2211yescharacteristic, complemented
38C2×#14519768C2211yescharacteristic, complemented
39C2×#14519762C2211yescharacteristic
40C2×#14519761C2211yescharacteristic, complemented
41C2×#14519759C2211yescharacteristic
42C2×#14519759C2211yescharacteristic, complemented
43C2×#14519757C2211yescharacteristic
44C2×#14519757C2211yescharacteristic, complemented
45C2×#14519756C2211yescharacteristic, complemented
46C2×#14519755C2211yescharacteristic, complemented
47C2×#14519754C2211yescharacteristic, complemented
48C2×#14519750C2211yescharacteristic
49C2×#14519750C2211yescharacteristic, complemented
50C2×#14519749C2211yescharacteristic, complemented
51C2×#14519747C2211yescharacteristic
52C2×#14519747C2211yescharacteristic
53C2×#14519745C2211yescharacteristic
54C2×#14519745C2211yescharacteristic
55C2×C4×D244C2211yescharacteristic
56C2×C4×D244C2211yescharacteristic
57C2×C4×D244C2211yescharacteristic, complemented
58C2×D4×Dic61C2211yescharacteristic
59C2×D4×Dic61C2211yescharacteristic, complemented
60C2×#14519739C2211yescharacteristic
61C2×C4×C22⋊D61C2211yescharacteristic
62C2×C4×C22⋊D61C2211yescharacteristic
63C2×C4×C22⋊D61C2211yescharacteristic, complemented
64C2×#14519737C2211yescharacteristic
65C2×#14519737C2211yescharacteristic
66C2×#14519737C2211yescharacteristic
67C2×#14519737C2211yescharacteristic, complemented
68C4×D4×D61—28no—
69C2×C4⋊C4×D61C2211yescharacteristic
70C2×C22⋊C4×D61C2211yescharacteristic
71C2×C22⋊C4×D61C2211yescharacteristic
72C2×C42×D61C2211yescharacteristic
73#16839697C2211yescharacteristic, complemented
74#16839691C2211yescharacteristic, complemented
75#16839690C2211yescharacteristic, complemented
76#16839685C2211yescharacteristic, complemented
77#16839685C2211yescharacteristic, complemented
78#16839684C2211yescharacteristic, complemented
79#16839684C2211yescharacteristic, complemented
80#16839680C2211yescharacteristic
81#16839679C2211yescharacteristic
82#16839679C2211yescharacteristic, complemented
83#16839678C2211yescharacteristic
84#16839678C2211yescharacteristic
85#16839678C2211yescharacteristic, complemented
86#16839678C2211yescharacteristic, complemented
87#16839677C2211yescharacteristic
88#16839677C2211yescharacteristic
89#16839676C2211yescharacteristic
90#16839675C2211yescharacteristic, complemented
91#16839674C2211yescharacteristic, complemented
92#16839672C2211yescharacteristic
93#16839671C2211yescharacteristic
94#16839671C2211yescharacteristic
95#16839671C2211yescharacteristic
96#16839671C2211yescharacteristic, complemented
97#16839670C2211yescharacteristic
98#16839670C2211yescharacteristic
99#16839670C2211yescharacteristic
100#16839670C2211yescharacteristic, complemented
101#16839663C2211yescharacteristic, complemented
102#16839662C2211yescharacteristic, complemented
103#16839662C2211yescharacteristic, complemented
104#16839656C2211yescharacteristic, complemented
105#16839656C2211yescharacteristic, complemented
106#16839656C2211yescharacteristic, complemented
107#16839655C2211yescharacteristic, complemented
108#16839655C2211yescharacteristic, complemented
109#16839654C2211yescharacteristic, complemented
110#16839654C2211yescharacteristic, complemented
111#16839653C2211yescharacteristic, complemented
112#16839653C2211yescharacteristic, complemented
113#16839653C2211yescharacteristic, complemented
114#16839652C2211yescharacteristic, complemented
115#16839652C2211yescharacteristic, complemented
116#16839651C2211yescharacteristic, complemented
117#16839650C2211yescharacteristic, complemented
118#16839649C2211yescharacteristic, complemented
119#16839649C2211yescharacteristic, complemented
120#16839648C2211yescharacteristic, complemented
121#16839648C2211yescharacteristic, complemented
122#16839647C2211yescharacteristic, complemented
123#16839647C2211yescharacteristic, complemented
124#16839646C2211yescharacteristic, complemented
125#16839646C2211yescharacteristic, complemented
126#16839645C2211yescharacteristic, complemented
127#16839645C2211yescharacteristic, complemented
128#16839644C2211yescharacteristic, complemented
129#16839644C2211yescharacteristic, complemented
130#16839643C2211yescharacteristic, complemented
131#16839643C2211yescharacteristic, complemented
132#16839642C2211yescharacteristic, complemented
133#16839641C2211yescharacteristic, complemented
134#16839640C2211yescharacteristic
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic, complemented
137#16839640C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839639C2211yescharacteristic, complemented
140#16839639C2211yescharacteristic, complemented
141#16839638C2211yescharacteristic
142#16839638C2211yescharacteristic
143#16839638C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839637C2211yescharacteristic, complemented
147#16839637C2211yescharacteristic, complemented
148#16839637C2211yescharacteristic, complemented
149#16839636C2211yescharacteristic
150#16839636C2211yescharacteristic
151#16839636C2211yescharacteristic, complemented
152#16839636C2211yescharacteristic, complemented
153#16839636C2211yescharacteristic, complemented
154#16839636C2211yescharacteristic, complemented
155#16839635C2211yescharacteristic, complemented
156#16839633C2211yescharacteristic
157#16839633C2211yescharacteristic
158#16839624C2211yescharacteristic
159#16839624C2211yescharacteristic
160#16839621C2211yescharacteristic
161#16839621C2211yescharacteristic, complemented
162#16839620C2211yescharacteristic, complemented
163#16839619C2211yescharacteristic
164#16839619C2211yescharacteristic, complemented
165#16839617C2211yescharacteristic
166#16839617C2211yescharacteristic
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic
169C22⋊C4×Dic61C2211yescharacteristic, complemented
170C4×#11758198C2211yescharacteristic
171C4×#11758198C2211yescharacteristic, complemented
172#16839609C2211yescharacteristic
173#16839609C2211yescharacteristic, complemented
174C2×#126×C61C2211yescharacteristic, complemented
175C2×C4×D4×C61C2211yescharacteristic
176C61×#399C2211yescharacteristic, complemented
177C61×#394C2211yescharacteristic
178C61×#394C2211yescharacteristic, complemented
179C61×#392C2211yescharacteristic
180C61×#390C2211yescharacteristic, complemented
181C61×#388C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic, complemented
183C61×#387C2211yescharacteristic, complemented
184C61×#387C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic, complemented
187C61×#380C2211yescharacteristic, complemented
188C4×C22⋊C4×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C2×D4×D61—24no—
205C2×D4×D61—24no—
206C2×D4×D61—24no—
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C22×C4×D61—24no—
211C22×C4×D61—24no—
212C22×C4×D61—42no—
213C22×C4×D61—42no—
214C22×C4×D61—42no—
215C22×C4×D61—42no—
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226#14519772—24no—
227#14519769—24no—
228#14519768—24no—
229#14519762—24no—
230#14519761—24no—
231#14519759—24no—
232#14519759—24no—
233#14519757—24no—
234#14519757—42no—
235#14519756—42no—
236#14519755—24no—
237#14519754—24no—
238#14519750—24no—
239#14519750—42no—
240#14519749—42no—
241#14519747—24no—
242#14519747—24no—
243#14519745—24no—
244#14519745—24no—
245C4×D244—24no—
246C4×D244—24no—
247C4×D244—42no—
248D4×Dic61—24no—
249D4×Dic61—42no—
250#14519739—24no—
251C4×C22⋊D61—24no—
252C4×C22⋊D61—24no—
253C4×C22⋊D61—42no—
254#14519737—24no—
255#14519737—24no—
256#14519737—24no—
257#14519737—42no—
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×C4⋊Dic61C2311yescharacteristic
263C2×C4⋊Dic61C2311yescharacteristic
264C2×C4⋊Dic61C2311yescharacteristic
265C2×C4⋊Dic61C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C4⋊C4×D61D418yescomplemented
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×#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
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C22⋊C4×D61—24no—
321C22⋊C4×D61—24no—
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#126×C61—24no—
360C4×D4×C61—24no—
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C42×C61C2311yescharacteristic
381C2×C42×C61C2311yescharacteristic
382C2×C42×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—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×D61#4114yes—
407C23×D61#4114yes—
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—22no—
423C22×C4×C61—22no—
424C22×C4×C61—22no—
425C22×C4×C61—41no—
426C22×C4×C61—41no—
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—41no—
469C22×Dic61—41no—
470C22×Dic61—41no—
471C22×Dic61—41no—
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484D4×D61—232no—
485C2×D244—22no—
486C2×D244—22no—
487C2×D244—22no—
488C2×D244—22no—
489C2×D244—22no—
490C2×D244—22no—
491C2×D244—22no—
492C2×D244—22no—
493C2×D244—41no—
494C2×D244—41no—
495C2×D244—41no—
496C2×D244—41no—
497C2×C4×D61—22no—
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—416no—
513C2×C4×D61—416no—
514C2×C4×D61—41no—
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×D61—41no—
526C2×C4×D61C2×D414yes—
527C2×C4×D61C2×D414yes—
528C2×C4×D61C2×D414yes—
529C2×Dic122—22no—
530C2×Dic122—41no—
531C2×Dic122—41no—
532C4⋊C4×C61—22no—
533C4⋊C4×C61—22no—
534C4⋊C4×C61—41no—
535C4⋊C4×C61—41no—
536C4⋊C4×C61—41no—
537C4⋊C4×C61C2×D414yes—
538C22⋊C4×C61—22no—
539C22⋊C4×C61—22no—
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—
551C42×C61—22no—
552C42×C61—22no—
553C42×C61—41no—
554C22⋊Dic61—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—
565#11758198—22no—
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—22no—
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—
595C4⋊Dic61—22no—
596C4⋊Dic61—22no—
597C4⋊Dic61—22no—
598C4⋊Dic61—22no—
599C4⋊Dic61—22no—
600C4⋊Dic61—22no—
601C4⋊Dic61—41no—
602C4⋊Dic61C2×D414yes—
603#11758196—22no—
604#11758196—22no—
605#11758196—22no—
606#11758196—22no—
607#11758196—22no—
608#11758196—22no—
609#11758196—41no—
610#11758196—41no—
611#11758196—41no—
612#11758196—41no—
613#11758196C2×D414yes—
614#11758196C2×D414yes—
615C4×Dic61—22no—
616C4×Dic61—22no—
617C4×Dic61—22no—
618C4×Dic61—22no—
619C4×Dic61—41no—
620C4×Dic61—41no—
621C4×Dic61—41no—
622C23×C61—21no—
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×C61C2×#4112yes—
642C23×C61C2×#4112yes—
643C23×C61C2511yescharacteristic
644C22×D61—21no—
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—28no—
661C22×D61—28no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—44no—
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×D61C22×D412yes—
682C22×D61C2×#4112yes—
683C22×D61C2×#4112yes—
684C22×D61C2×#4112yes—
685C22×D61C2×#4112yes—
686D4×C61—28no—
687D4×C61—44no—
688D4×C61—82no—
689C2×C4×C61—21no—
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—44no—
722C2×C4×C61—44no—
723C2×C4×C61C22×D412yes—
724C2×C4×C61C22×D412yes—
725C2×C4×C61C22×D412yes—
726C2×C4×C61H(5,𝔽2)12yes—
727C22⋊D61—28no—
728C22⋊D61—28no—
729C22⋊D61—44no—
730C22⋊D61—44no—
731C22⋊D61—44no—
732C22⋊D61—82no—
733C22⋊D61—82no—
734C22⋊D61—82no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
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—44no—
768C2×Dic61—44no—
769C2×Dic61—82no—
770C2×Dic61C22×D412yes—
771C2×Dic61C22×D412yes—
772C2×Dic61C22×D412yes—
773C2×Dic61H(5,𝔽2)12yes—
774D244—28no—
775D244—44no—
776D244—44no—
777D244—82no—
778C4×D61—28no—
779C4×D61—28no—
780C4×D61—44no—
781C4×D61—44no—
782C4×D61—44no—
783C4×D61—44no—
784C4×D61—44no—
785C4×D61—44no—
786C4×D61—44no—
787C4×D61—82no—
788Dic122—82no—
789#34987—611nomaximal, Sylow
790C22×C61—22no—
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—22no—
794C22×C61—22no—
795C22×C61—22no—
796C22×C61—41no—
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×C61C23×D411yescharacteristic
812C22×C61C22×#4111yescharacteristic
813C22×C61C22×#4111yescharacteristic
814C22×C61C2×H(5,𝔽2)11yescharacteristic
815C22×C61C2×H(5,𝔽2)11yescharacteristic
816C22×C61#58511yescharacteristic
817C22×C61#58511yescharacteristic
818C2×D61—22no—
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—416no—
831C2×D61—416no—
832C2×D61—41no—
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#52514yes—
848C4×C61—22no—
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—
860Dic61—22no—
861Dic61—22no—
862Dic61—22no—
863Dic61—22no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870Dic61—41no—
871Dic61—41no—
872C2×#539—611no—
873C22×C4×D4—611no—
874#2853—611no—
875#2853—611no—
876#2848—611no—
877#2847—611no—
878#2626—611no—
879#2617—611no—
880#2613—611no—
881#2613—611no—
882#2467—611no—
883#2467—611no—
884#2467—611no—
885#2467D6111yescharacteristic, complemented
886#2463—611no—
887#2463—611no—
888#2463—611no—
889#2463—611no—
890#2460—611no—
891#2460—611no—
892#2460—611no—
893#2460—611no—
894#2456—611no—
895#2456—611no—
896#2456—611no—
897#2456—611no—
898#2321—611no—
899#2321—611no—
900#2313—611no—
901C4×#120—611no—
902C4×#120—611no—
903C2×C61—42no—
904C2×C61—42no—
905C2×C61—81no—
906C2×C61C2×#52511yescharacteristic
907C2×C61#345911yescharacteristic
908C2×C61#345911yescharacteristic
909C2×C61#348411yescharacteristic
910C2×C61#348711yescharacteristic
911C2×C61#350511yescharacteristic
912C2×C61#350511yescharacteristic
913D61—24no—
914D61—42no—
915D61—42no—
916D61—81no—
917C23×D4—611no—
918C24×C4—611no—
919C24×C4—611no—
920#539—1228no—
921C2×#126—611no—
922C2×#126C2×D6111yescharacteristic, complemented
923C2×#125—611no—
924C2×#125—611no—
925C2×#123—611no—
926C2×#123—611no—
927C2×#123—611no—
928C2×#123—611no—
929C2×C22⋊Q8—611no—
930C2×C22⋊Q8—611no—
931C2×C22⋊Q8—611no—
932C2×C22⋊Q8—611no—
933C2×C22⋊Q8—611no—
934C2×#121—611no—
935C2×#121—611no—
936C2×#121—611no—
937C2×#120—611no—
938C2×#120—611no—
939C2×#120—611no—
940C2×#120—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—611no—
951C2×C4×D4—611no—
952C2×C4×D4—611no—
953C2×C4×D4—611no—
954C2×C4×D4—1228no—
955C2×C4×D4C2×D6111yescharacteristic
956C22×C4⋊C4—611no—
957C22×C22⋊C4—611no—
958C22×C22⋊C4—611no—
959C22×C42—611no—
960#399—611no—
961#399C2×D6111yescharacteristic, complemented
962#397—611no—
963#397—611no—
964#396—611no—
965#396—611no—
966#396—611no—
967#396—611no—
968#394—611no—
969#394—611no—
970#394—611no—
971#394—611no—
972#394—611no—
973#394—611no—
974#394—611no—
975#394—611no—
976#394—611no—
977#394—611no—
978#394C2×D6111yescharacteristic
979#394C2×D6111yescharacteristic, complemented
980#393—611no—
981#393—611no—
982#392—611no—
983#392—611no—
984#392—611no—
985#392—611no—
986#392—611no—
987#392—611no—
988#392—611no—
989#392—611no—
990#392—611no—
991#392C2×D6111yescharacteristic
992#390—611no—
993#390—611no—
994#390—611no—
995#390C2×D6111yescharacteristic, complemented
996#388—611no—
997#388—611no—
998#388—611no—
999#388—611no—
1000#388—611no—
1001#388—611no—
1002#388—611no—
1003#388—611no—
1004#388—611no—
1005#388—611no—
1006#388—611no—
1007#388—611no—
1008#388—611no—
1009#388—611no—
1010#388C2×D6111yescharacteristic, complemented
1011#388C2×D6111yescharacteristic, complemented
1012#387—611no—
1013#387—611no—
1014#387—611no—
1015#387—611no—
1016#387—611no—
1017#387—611no—
1018#387—611no—
1019#387—611no—
1020#387—611no—
1021#387—611no—
1022#387—611no—
1023#387—611no—
1024#387—611no—
1025#387—611no—
1026#387C2×D6111yescharacteristic, complemented
1027#387C2×D6111yescharacteristic, complemented
1028#386—611no—
1029#386—611no—
1030#386—611no—
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386—611no—
1035#386—611no—
1036#386—611no—
1037#386—611no—
1038#386—611no—
1039#386—611no—
1040#386—611no—
1041#386—611no—
1042#386C2×D6111yescharacteristic, complemented
1043#386C2×D6111yescharacteristic, complemented
1044#385—611no—
1045#385—611no—
1046#385—611no—
1047#385—611no—
1048#385—611no—
1049#385—611no—
1050#385—611no—
1051#385—611no—
1052#385—611no—
1053#385—611no—
1054#385—611no—
1055#385—611no—
1056#381—611no—
1057#381—611no—
1058#380—611no—
1059#380—611no—
1060#380—611no—
1061#380—611no—
1062#380—611no—
1063#380C2×D6111yescharacteristic, complemented
1064#379—611no—
1065#379—611no—
1066#379—611no—
1067#379—611no—
1068C4×C22⋊C4—611no—
1069C4×C22⋊C4—611no—
1070C4×C22⋊C4—611no—
1071C4×C22⋊C4—611no—
1072C4×C22⋊C4—611no—
1073C4×C22⋊C4C2×D6111yescharacteristic, complemented
1074C61#3498711yescharacteristic, complemented, Sylow
1075C25—611no—
1076C25—611no—
1077C22×Q8—611no—
1078C22×D4—611no—
1079C22×D4—611no—
1080C22×D4—611no—
1081C22×D4—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—1224no—
1091C22×D4—1224no—
1092C22×D4—1224no—
1093C22×D4C22×D6111yescharacteristic
1094C22×D4C22×D6111yescharacteristic
1095C22×D4C22×D6111yescharacteristic
1096C23×C4—611no—
1097C23×C4—611no—
1098C23×C4—611no—
1099C23×C4—611no—
1100C23×C4—611no—
1101C23×C4—611no—
1102C23×C4—611no—
1103C23×C4—611no—
1104C23×C4—611no—
1105C23×C4—611no—
1106C23×C4—611no—
1107C23×C4—611no—
1108C23×C4—611no—
1109C23×C4—1224no—
1110C23×C4—1224no—
1111C23×C4—2442no—
1112C23×C4—2442no—
1113C23×C4—2442no—
1114C23×C4—2442no—
1115C23×C4C22×D6111yescharacteristic
1116C23×C4C22×D6111yescharacteristic
1117#126—24no—
1118#126—1224no—
1119#125—1224no—
1120#125—1224no—
1121#123—1224no—
1122#123—1224no—
1123#123—1224no—
1124#123—1224no—
1125C22⋊Q8—1224no—
1126C22⋊Q8—1224no—
1127C22⋊Q8—1224no—
1128C22⋊Q8—2442no—
1129C22⋊Q8—2442no—
1130#121—1224no—
1131#121—2442no—
1132#121—2442no—
1133#120—1224no—
1134#120—1224no—
1135#120—1224no—
1136#120—1224no—
1137C4×D4—24no—
1138C4×D4—1224no—
1139C4×D4—1224no—
1140C4×D4—1224no—
1141C4×D4—1224no—
1142C4×D4—1224no—
1143C4×D4—1224no—
1144C4×D4—1224no—
1145C4×D4—1224no—
1146C4×D4—1224no—
1147C4×D4—2442no—
1148C4×D4—2442no—
1149C4×D4—2442no—
1150C4×D4—2442no—
1151C2×C4⋊C4—611no—
1152C2×C4⋊C4—611no—
1153C2×C4⋊C4—611no—
1154C2×C4⋊C4—618no—
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—611no—
1171C2×C4⋊C4—611no—
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×C22⋊C4—611no—
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—1224no—
1220C2×C22⋊C4—1224no—
1221C2×C22⋊C4C22×D6111yescharacteristic
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×C42—611no—
1235C2×C42—611no—
1236C2×C42—611no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—611no—
1240C2×C42—611no—
1241C2×C42—1224no—
1242C2×C42C22×D6111yescharacteristic
1243C2×C42C22×D6111yescharacteristic
1244C2×C42C22×D6111yescharacteristic
1245#95—611no—
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#95C22×D6111yescharacteristic
1270#95C22×D6111yescharacteristic
1271#95C22×D6111yescharacteristic
1272#95C22×D6111yescharacteristic
1273#95C22×D6111yescharacteristic
1274#95C22×D6111yescharacteristic
1275#95C22×D6111yescharacteristic
1276#95C22×D6111yescharacteristic
1277C24—611no—
1278C24—611no—
1279C24—611no—
1280C24—614no—
1281C24—614no—
1282C24—611no—
1283C24—1222no—
1284C24—1222no—
1285C24—1222no—
1286C24—1222no—
1287C24—2441no—
1288C24—2441no—
1289C24—2441no—
1290C24—2441no—
1291C24—2441no—
1292C24—2441no—
1293C24—2441no—
1294C24—2441no—
1295C24C23×D6111yescharacteristic
1296C24C23×D6111yescharacteristic
1297C24C23×D6111yescharacteristic
1298C2×Q8—1222no—
1299C2×Q8—2441no—
1300C2×Q8—2441no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—1222no—
1311C2×D4—1222no—
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—12232no—
1321C2×D4—1222no—
1322C2×D4—1222no—
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—2441no—
1334C2×D4—2441no—
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—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—614no—
1358C22×C4—614no—
1359C22×C4—614no—
1360C22×C4—611no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—1222no—
1369C22×C4—1222no—
1370C22×C4—1222no—
1371C22×C4—1222no—
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—2441no—
1389C22×C4—2441no—
1390C22×C4—2441no—
1391C22×C4—2441no—
1392C22×C4—2441no—
1393C22×C4—2441no—
1394C22×C4—2441no—
1395C22×C4—2441no—
1396C22×C4—2441no—
1397C22×C4—2441no—
1398C22×C4—2441no—
1399C22×C4—2441no—
1400C22×C4—24416no—
1401C22×C4—24416no—
1402C22×C4—2441no—
1403C22×C4—2441no—
1404C22×C4—2441no—
1405C22×C4—2441no—
1406C22×C4C23×D6111yescharacteristic
1407C22×C4C23×D6111yescharacteristic
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
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—614no—
1424C4⋊C4—614no—
1425C4⋊C4—614no—
1426C4⋊C4—1222no—
1427C4⋊C4—1222no—
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⋊C4D4×D6114yes—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—1222no—
1458C22⋊C4—1222no—
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—1222no—
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—
1498C42—22no—
1499C42—22no—
1500C42—41no—
1501C42—1222no—
1502C42—1222no—
1503C42—1222no—
1504C42—1222no—
1505C42—2441no—
1506C42—2441no—
1507C42—2441no—
1508C23—21no—
1509C23—21no—
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—612no—
1528C23—612no—
1529C23—612no—
1530C23—612no—
1531C23—612no—
1532C23—1228no—
1533C23—1228no—
1534C23—1221no—
1535C23—1221no—
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—2444no—
1558C23—2444no—
1559C23—2444no—
1560C23—2444no—
1561C23—2444no—
1562C23—2444no—
1563C23—2444no—
1564C23—2444no—
1565C23—2444no—
1566C23—2444no—
1567C23—2444no—
1568C23—2444no—
1569C23#41×D6112yes—
1570C23#41×D6112yes—
1571C23C24×D6111yescharacteristic
1572Q8—4882no—
1573D4—28no—
1574D4—44no—
1575D4—82no—
1576D4—1228no—
1577D4—1228no—
1578D4—1228no—
1579D4—4882no—
1580D4—4882no—
1581D4—4882no—
1582D4—4882no—
1583D4—2444no—
1584D4—2444no—
1585D4—2444no—
1586D4—2444no—
1587D4—2444no—
1588C2×C4—21no—
1589C2×C4—21no—
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—44no—
1621C2×C4—44no—
1622C2×C4—612no—
1623C2×C4—612no—
1624C2×C4—612no—
1625C2×C4—612no—
1626C2×C4—1228no—
1627C2×C4—1228no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
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—4882no—
1661C2×C4—4882no—
1662C2×C4—2444no—
1663C2×C4—2444no—
1664C2×C4—2444no—
1665C2×C4—2444no—
1666C2×C4—2444no—
1667C2×C4—2444no—
1668C2×C4—2444no—
1669C2×C4—2444no—
1670C2×C4—2444no—
1671C2×C4C2×D4×D6112yes—
1672C2×C4C2×D4×D6112yes—
1673C2×C4C2×D4×D6112yes—
1674C2×C4#1451982312yes—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—41no—
1682C22—41no—
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—614no—
1697C22—1222no—
1698C22—1222no—
1699C22—1222no—
1700C22—1222no—
1701C22—1222no—
1702C22—1222no—
1703C22—1222no—
1704C22—1222no—
1705C22—1222no—
1706C22—1222no—
1707C22—1222no—
1708C22—1222no—
1709C22—24416no—
1710C22—24416no—
1711C22—2441no—
1712C22—2441no—
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—
1726C22C22×D4×D6111yescharacteristic
1727C22C2×#41×D6111yescharacteristic
1728C22C2×#41×D6111yescharacteristic
1729C22H(5,𝔽2)×D6111yescharacteristic
1730C22C2×#1451982311yescharacteristic
1731C22#1684059711yescharacteristic
1732C22#1684059811yescharacteristic
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—1222no—
1746C4—1222no—
1747C4—1222no—
1748C4—1222no—
1749C4—2441no—
1750C4—2441no—
1751C4—2441no—
1752C4—2441no—
1753C4—2441no—
1754C4—2441no—
1755C4—2441no—
1756C4—2441no—
1757C2—42no—
1758C2—42no—
1759C2—81no—
1760C2—1224no—
1761C2—4881no—
1762C2—2442no—
1763C2—2442no—
1764C2#525×D6111yescharacteristic
1765C2#2145922911yescharacteristic
1766C2#2145923011yescharacteristic
1767C2#2145944911yescharacteristic
1768C2#2145947211yescharacteristic
1769C2#2145964811yescharacteristic
1770C2#2145965011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2467C2
hypercenter#2467D61
hypocenterC61#34987
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2467

Complements

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

NH ≅ G/Ntype
1. C2×#16840353C2semidirect
2. C2×C4×D4×D61C2semidirect
3. #21454143C2semidirect
4. #21454139C2semidirect
5. #21454107C2semidirect
6. #21454100C2semidirect
7. #21451625C2semidirect
8. #21451558C2semidirect
9. #21451532C2semidirect
10. #21451530C2semidirect
11. #21449877C2semidirect
12. #21449873C2semidirect
13. #21449866C2semidirect
14. #21449817C2semidirect
15. #21449814C2semidirect
16. #21449811C2semidirect
17. #21449810C2semidirect
18. #21449775C2semidirect
19. #21449771C2semidirect
20. #21449770C2semidirect
21. #21449766C2semidirect
22. #21449717C2semidirect
23. #21449713C2semidirect
24. #21449708C2semidirect
25. #21449704C2semidirect
26. #21448481C2semidirect
27. #21448478C2semidirect
28. #21448418C2semidirect
29. #21448324C2semidirect
30. C4×#14519747C2semidirect
31. C61×#2467C2semidirect
36. C2×#14519772C22semidirect
37. C2×#14519769C22semidirect
38. C2×#14519768C22semidirect
40. C2×#14519761C22semidirect
42. C2×#14519759C22semidirect
44. C2×#14519757C22semidirect
45. C2×#14519756C22semidirect
46. C2×#14519755C22semidirect
47. C2×#14519754C22semidirect
49. C2×#14519750C22semidirect
50. C2×#14519749C22semidirect
57. C2×C4×D244C22semidirect
59. C2×D4×Dic61C22semidirect
63. C2×C4×C22⋊D61C22semidirect
67. C2×#14519737C22semidirect
73. #16839697C22semidirect
74. #16839691C22semidirect
75. #16839690C22semidirect
76. #16839685C22semidirect
77. #16839685C22semidirect
78. #16839684C22semidirect
79. #16839684C22semidirect
82. #16839679C22semidirect
85. #16839678C22semidirect
86. #16839678C22semidirect
90. #16839675C22semidirect
91. #16839674C22semidirect
96. #16839671C22semidirect
100. #16839670C22semidirect
101. #16839663C22semidirect
102. #16839662C22semidirect
103. #16839662C22semidirect
104. #16839656C22semidirect
105. #16839656C22semidirect
106. #16839656C22semidirect
107. #16839655C22semidirect
108. #16839655C22semidirect
109. #16839654C22semidirect
110. #16839654C22semidirect
111. #16839653C22semidirect
112. #16839653C22semidirect
113. #16839653C22semidirect
114. #16839652C22semidirect
115. #16839652C22semidirect
116. #16839651C22semidirect
117. #16839650C22semidirect
118. #16839649C22semidirect
119. #16839649C22semidirect
120. #16839648C22semidirect
121. #16839648C22semidirect
122. #16839647C22semidirect
123. #16839647C22semidirect
124. #16839646C22semidirect
125. #16839646C22semidirect
126. #16839645C22semidirect
127. #16839645C22semidirect
128. #16839644C22semidirect
129. #16839644C22semidirect
130. #16839643C22semidirect
131. #16839643C22semidirect
132. #16839642C22semidirect
133. #16839641C22semidirect
136. #16839640C22semidirect
137. #16839640C22semidirect
138. #16839640C22semidirect
139. #16839639C22semidirect
140. #16839639C22semidirect
143. #16839638C22semidirect
144. #16839638C22semidirect
145. #16839638C22semidirect
146. #16839637C22semidirect
147. #16839637C22semidirect
148. #16839637C22semidirect
151. #16839636C22semidirect
152. #16839636C22semidirect
153. #16839636C22semidirect
154. #16839636C22semidirect
155. #16839635C22semidirect
161. #16839621C22semidirect
162. #16839620C22semidirect
164. #16839619C22semidirect
169. C22⋊C4×Dic61C22semidirect
171. C4×#11758198C22semidirect
173. #16839609C22semidirect
174. C2×#126×C61C22semidirect
176. C61×#399C22semidirect
178. C61×#394C22semidirect
180. C61×#390C22semidirect
181. C61×#388C22semidirect
182. C61×#388C22semidirect
183. C61×#387C22semidirect
184. C61×#387C22semidirect
185. C61×#386C22semidirect
186. C61×#386C22semidirect
187. C61×#380C22semidirect
188. C4×C22⋊C4×C61C22semidirect
278. C4⋊C4×D61D4semidirect
885. #2467D61semidirect
922. C2×#126C2×D61semidirect
961. #399C2×D61semidirect
979. #394C2×D61semidirect
995. #390C2×D61semidirect
1010. #388C2×D61semidirect
1011. #388C2×D61semidirect
1026. #387C2×D61semidirect
1027. #387C2×D61semidirect
1042. #386C2×D61semidirect
1043. #386C2×D61semidirect
1063. #380C2×D61semidirect
1073. C4×C22⋊C4C2×D61semidirect
1074. C61#34987semidirect

Maximal subgroups

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

subgroupindex
C2×#168403532
C2×C4×D4×D612
#214541432
#214541392
#214541072
#214541002
#214516252
#214515582
#214515322
#214515302
#214498772
#214498732
#214498662
#214498172
#214498142
#214498112
#214498102
#214497752
#214497712
#214497702
#214497662
#214497172
#214497132
#214497082
#214497042
#214484812
#214484782
#214484182
#214483242
C4×#145197472
C61×#24672
#3498761