Finite Group Databasebeta

← #29886905

Subgroups — #29886905

Order 15616.

2620 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840364C211yesmaximal, characteristic, complemented
2C2×#16840269C211yesmaximal, characteristic, complemented
3#21454114C211yesmaximal, characteristic, complemented
4#21454100C211yesmaximal, characteristic, complemented
5#21452338C211yesmaximal, characteristic, complemented
6#21452325C211yesmaximal, characteristic, complemented
7#21452284C211yesmaximal, characteristic, complemented
8#21452250C211yesmaximal, characteristic, complemented
9#21452239C211yesmaximal, characteristic, complemented
10#21452137C211yesmaximal, characteristic, complemented
11#21452119C211yesmaximal, characteristic, complemented
12#21452109C211yesmaximal, characteristic, complemented
13#21452087C211yesmaximal, characteristic, complemented
14#21452080C211yesmaximal, characteristic, complemented
15#21452069C211yesmaximal, characteristic, complemented
16#21452056C211yesmaximal, characteristic, complemented
17#21452049C211yesmaximal, characteristic, complemented
18#21452035C211yesmaximal, characteristic, complemented
19#21452031C211yesmaximal, characteristic, complemented
20#21452024C211yesmaximal, characteristic, complemented
21#21451707C211yesmaximal, characteristic, complemented
22#21451664C211yesmaximal, characteristic, complemented
23#21451495C211yesmaximal, characteristic, complemented
24#21451433C211yesmaximal, characteristic, complemented
25#21451384C211yesmaximal, characteristic, complemented
26#21451381C211yesmaximal, characteristic, complemented
27#21450779C211yesmaximal, characteristic, complemented
28#21450719C211yesmaximal, characteristic, complemented
29#21449434C211yesmaximal, characteristic, complemented
30#21448453C211yesmaximal, characteristic, complemented
31C61×#2430C211yesmaximal, characteristic, complemented
32C23×C4×D61C2211yescharacteristic
33#16840364—28no—
34C2×#14519773C2211yescharacteristic
35C2×#14519773C2211yescharacteristic
36C2×#14519767C2211yescharacteristic, complemented
37C2×#14519766C2211yescharacteristic, complemented
38#16840269—28no—
39C2×#14519762C2211yescharacteristic
40C2×#14519762C2211yescharacteristic
41C2×#14519761C2211yescharacteristic
42C2×#14519759C2211yescharacteristic, complemented
43C2×#14519758C2211yescharacteristic
44C2×#14519758C2211yescharacteristic
45C2×#14519753C2211yescharacteristic
46C2×#14519753C2211yescharacteristic
47C2×#14519752C2211yescharacteristic
48C2×#14519751C2211yescharacteristic
49C2×#14519751C2211yescharacteristic
50C2×#14519751C2211yescharacteristic, complemented
51C2×#14519750C2211yescharacteristic
52C2×#14519750C2211yescharacteristic
53C2×#14519750C2211yescharacteristic
54C2×#14519750C2211yescharacteristic
55C2×#14519750C2211yescharacteristic, complemented
56C2×#14519749C2211yescharacteristic
57C2×#14519749C2211yescharacteristic
58C2×#14519749C2211yescharacteristic, complemented
59C2×#14519748C2211yescharacteristic
60C2×#14519748C2211yescharacteristic
61C2×#14519747C2211yescharacteristic
62C2×#14519747C2211yescharacteristic
63C2×#14519745C2211yescharacteristic
64C2×#14519745C2211yescharacteristic
65C2×#14519745C2211yescharacteristic
66C2×C4×C22⋊D61C2211yescharacteristic
67C2×C4×C22⋊D61C2211yescharacteristic
68C2×C4×C22⋊D61C2211yescharacteristic
69C2×C4×C22⋊D61C2211yescharacteristic
70C2×#14519737C2211yescharacteristic, complemented
71C2×#14519736C2211yescharacteristic
72C2×#14519735C2211yescharacteristic, complemented
73#16839704C2211yescharacteristic, complemented
74#16839704C2211yescharacteristic, complemented
75#16839703C2211yescharacteristic, complemented
76#16839698C2211yescharacteristic
77#16839698C2211yescharacteristic, complemented
78#16839697C2211yescharacteristic, complemented
79#16839694C2211yescharacteristic, complemented
80#16839694C2211yescharacteristic, complemented
81#16839693C2211yescharacteristic, complemented
82#16839691C2211yescharacteristic
83#16839690C2211yescharacteristic, complemented
84#16839690C2211yescharacteristic, complemented
85#16839689C2211yescharacteristic
86#16839689C2211yescharacteristic
87#16839686C2211yescharacteristic, complemented
88#16839685C2211yescharacteristic
89#16839685C2211yescharacteristic, complemented
90#16839684C2211yescharacteristic, complemented
91#16839680C2211yescharacteristic
92#16839680C2211yescharacteristic, complemented
93#16839679C2211yescharacteristic
94#16839678C2211yescharacteristic
95#16839678C2211yescharacteristic
96#16839678C2211yescharacteristic, complemented
97#16839677C2211yescharacteristic
98#16839677C2211yescharacteristic
99#16839677C2211yescharacteristic
100#16839677C2211yescharacteristic, complemented
101#16839677C2211yescharacteristic, complemented
102#16839676C2211yescharacteristic, complemented
103#16839672C2211yescharacteristic
104#16839671C2211yescharacteristic
105#16839671C2211yescharacteristic
106#16839671C2211yescharacteristic
107#16839671C2211yescharacteristic
108#16839670C2211yescharacteristic
109#16839670C2211yescharacteristic
110#16839670C2211yescharacteristic
111#16839670C2211yescharacteristic
112#16839670C2211yescharacteristic
113#16839670C2211yescharacteristic, complemented
114#16839670C2211yescharacteristic, complemented
115#16839670C2211yescharacteristic, complemented
116#16839670C2211yescharacteristic, complemented
117#16839669C2211yescharacteristic, complemented
118#16839665C2211yescharacteristic
119#16839662C2211yescharacteristic
120#16839657C2211yescharacteristic, complemented
121#16839656C2211yescharacteristic, complemented
122#16839656C2211yescharacteristic, complemented
123#16839655C2211yescharacteristic
124#16839654C2211yescharacteristic, complemented
125#16839654C2211yescharacteristic, complemented
126#16839652C2211yescharacteristic
127#16839652C2211yescharacteristic
128#16839651C2211yescharacteristic
129#16839651C2211yescharacteristic
130#16839650C2211yescharacteristic, complemented
131#16839648C2211yescharacteristic, complemented
132#16839644C2211yescharacteristic, complemented
133#16839644C2211yescharacteristic, complemented
134#16839643C2211yescharacteristic, complemented
135#16839642C2211yescharacteristic
136#16839641C2211yescharacteristic
137#16839641C2211yescharacteristic
138#16839641C2211yescharacteristic
139#16839641C2211yescharacteristic
140#16839641C2211yescharacteristic, complemented
141#16839641C2211yescharacteristic, complemented
142#16839641C2211yescharacteristic, complemented
143#16839641C2211yescharacteristic, complemented
144#16839640C2211yescharacteristic
145#16839640C2211yescharacteristic
146#16839640C2211yescharacteristic
147#16839640C2211yescharacteristic
148#16839640C2211yescharacteristic
149#16839639C2211yescharacteristic
150#16839638C2211yescharacteristic
151#16839638C2211yescharacteristic
152#16839638C2211yescharacteristic
153#16839638C2211yescharacteristic
154#16839638C2211yescharacteristic, complemented
155#16839637C2211yescharacteristic, complemented
156#16839636C2211yescharacteristic, complemented
157#16839636C2211yescharacteristic, complemented
158#16839635C2211yescharacteristic, complemented
159#16839635C2211yescharacteristic, complemented
160#16839634C2211yescharacteristic
161#16839633C2211yescharacteristic
162#16839633C2211yescharacteristic
163#16839629C2211yescharacteristic, complemented
164#16839626C2211yescharacteristic, complemented
165#16839624C2211yescharacteristic
166#16839624C2211yescharacteristic
167#16839621C2211yescharacteristic
168#16839621C2211yescharacteristic
169#16839621C2211yescharacteristic, complemented
170#16839620C2211yescharacteristic
171#16839620C2211yescharacteristic, complemented
172#16839617C2211yescharacteristic
173C4×C22⋊Dic61C2211yescharacteristic, complemented
174C22×#41×C61C2211yescharacteristic
175C2×#123×C61C2211yescharacteristic, complemented
176C2×#121×C61C2211yescharacteristic
177C2×#121×C61C2211yescharacteristic, complemented
178C61×#395C2211yescharacteristic, complemented
179C61×#394C2211yescharacteristic
180C61×#393C2211yescharacteristic, complemented
181C61×#392C2211yescharacteristic
182C61×#386C2211yescharacteristic
183C61×#386C2211yescharacteristic
184C61×#386C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#385C2211yescharacteristic
187C61×#385C2211yescharacteristic, complemented
188C2×#95×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C22×C4×D61—24no—
212C22×C4×D61—42no—
213C22×C4×D61—42no—
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220#14519773—24no—
221#14519773—42no—
222#14519767—24no—
223#14519766—42no—
224#14519762—24no—
225#14519762—42no—
226#14519761—24no—
227#14519759—24no—
228#14519758—24no—
229#14519758—24no—
230#14519753—24no—
231#14519753—24no—
232#14519752—24no—
233#14519751—24no—
234#14519751—42no—
235#14519751—42no—
236#14519750—24no—
237#14519750—24no—
238#14519750—24no—
239#14519750—42no—
240#14519750—42no—
241#14519749—24no—
242#14519749—42no—
243#14519749—42no—
244#14519748—24no—
245#14519748—24no—
246#14519747—42no—
247#14519747—42no—
248#14519745—24no—
249#14519745—24no—
250#14519745—42no—
251C4×C22⋊D61—24no—
252C4×C22⋊D61—24no—
253C4×C22⋊D61—24no—
254C4×C22⋊D61D418yescomplemented
255#14519737—24no—
256#14519736—24no—
257#14519735—24no—
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×C4⋊Dic61C2311yescharacteristic
263C2×C4⋊Dic61C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
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
350C2×#41×C61—24no—
351C2×#41×C61—42no—
352C2×#41×C61—42no—
353C22×Q8×C61C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C22×D4×C61C2311yescharacteristic
358C22×D4×C61C2311yescharacteristic
359C22×D4×C61C2311yescharacteristic
360C23×C4×C61C2311yescharacteristic
361C23×C4×C61C2311yescharacteristic
362C23×C4×C61C2311yescharacteristic
363C23×C4×C61C2311yescharacteristic
364C23×C4×C61C2311yescharacteristic
365#123×C61—24no—
366#121×C61—42no—
367#121×C61—42no—
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C4⋊C4×C61C2311yescharacteristic
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C4⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×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
394C24×C61C2411yescharacteristic
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61—41no—
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C23×D61C2411yescharacteristic
405C23×D61C2411yescharacteristic
406#41×C61—416no—
407C2×Q8×C61—22no—
408C2×Q8×C61—22no—
409C2×Q8×C61—41no—
410C2×D4×C61—22no—
411C2×D4×C61—22no—
412C2×D4×C61—22no—
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—22no—
416C2×D4×C61—22no—
417C2×D4×C61—22no—
418C2×D4×C61—41no—
419C2×D4×C61—41no—
420C2×D4×C61—41no—
421C2×D4×C61—41no—
422C2×D4×C61—41no—
423C2×D4×C61—41no—
424C2×D4×C61—41no—
425C2×D4×C61—41no—
426C2×D4×C61—41no—
427C2×D4×C61—41no—
428C22×C4×C61—22no—
429C22×C4×C61—22no—
430C22×C4×C61—22no—
431C22×C4×C61—22no—
432C22×C4×C61—41no—
433C22×C4×C61—41no—
434C22×C4×C61—41no—
435C22×C4×C61—41no—
436C22×C4×C61—41no—
437C22×C4×C61—41no—
438C22×C4×C61—41no—
439C22×C4×C61—41no—
440C22×C4×C61—41no—
441C22×C4×C61—41no—
442C22×C4×C61C2×D414yes—
443C22×C4×C61C2411yescharacteristic
444C22×C4×C61C2411yescharacteristic
445C22×C4×C61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C2×C22⋊D61—22no—
455C2×C22⋊D61—22no—
456C2×C22⋊D61—22no—
457C2×C22⋊D61—22no—
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—22no—
465C2×C22⋊D61—22no—
466C2×C22⋊D61—22no—
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—
476C2×C22⋊D61—41no—
477C2×C22⋊D61—41no—
478C2×C22⋊D61—41no—
479C2×C22⋊D61—41no—
480C2×C22⋊D61—41no—
481C2×C22⋊D61—41no—
482C2×C22⋊D61—41no—
483C2×C22⋊D61—41no—
484C2×C22⋊D61—41no—
485C2×C22⋊D61—41no—
486C2×C22⋊D61—41no—
487C2×C22⋊D61—41no—
488C2×C22⋊D61—41no—
489C2×C22⋊D61—41no—
490C2×C22⋊D61—41no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61—41no—
494C2×C22⋊D61—41no—
495C2×C22⋊D61C2×D414yes—
496C22×Dic61—22no—
497C22×Dic61—22no—
498C22×Dic61—22no—
499C22×Dic61—41no—
500C22×Dic61—41no—
501C22×Dic61—41no—
502C22×Dic61C2411yescharacteristic
503C22×Dic61C2411yescharacteristic
504C22×Dic61C2411yescharacteristic
505C22×Dic61C2411yescharacteristic
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C2×D244—22no—
515C2×D244—22no—
516C2×D244—22no—
517C2×D244—22no—
518C2×D244—22no—
519C2×D244—41no—
520C2×D244—41no—
521C2×D244—41no—
522C2×D244—41no—
523C2×D244—41no—
524C2×D244—41no—
525C2×D244—41no—
526C2×D244—41no—
527C2×D244—41no—
528C2×D244—41no—
529C2×C4×D61—22no—
530C2×C4×D61—22no—
531C2×C4×D61—22no—
532C2×C4×D61—22no—
533C2×C4×D61—22no—
534C2×C4×D61—22no—
535C2×C4×D61—22no—
536C2×C4×D61—41no—
537C2×C4×D61—41no—
538C2×C4×D61—41no—
539C2×C4×D61—41no—
540C2×C4×D61—41no—
541C2×C4×D61—41no—
542C2×C4×D61—41no—
543C2×C4×D61—41no—
544C2×C4×D61—416no—
545C2×C4×D61—41no—
546C2×C4×D61—41no—
547C2×C4×D61C2×D414yes—
548C4⋊C4×C61—22no—
549C4⋊C4×C61—22no—
550C4⋊C4×C61—22no—
551C4⋊C4×C61—41no—
552C22⋊C4×C61—22no—
553C22⋊C4×C61—22no—
554C22⋊C4×C61—22no—
555C22⋊C4×C61—22no—
556C22⋊C4×C61—22no—
557C22⋊C4×C61—41no—
558C22⋊C4×C61—41no—
559C22⋊C4×C61—41no—
560C22⋊C4×C61—41no—
561C22⋊C4×C61—41no—
562C22⋊C4×C61—41no—
563C22⋊Dic61—22no—
564C22⋊Dic61—22no—
565C22⋊Dic61—22no—
566C22⋊Dic61—22no—
567C22⋊Dic61—22no—
568C22⋊Dic61—41no—
569C22⋊Dic61—41no—
570C22⋊Dic61—41no—
571C22⋊Dic61—41no—
572C22⋊Dic61—41no—
573C22⋊Dic61—41no—
574C22⋊Dic61—41no—
575C22⋊Dic61—41no—
576C22⋊Dic61—41no—
577C22⋊Dic61C2×D414yes—
578#11758198—22no—
579#11758198—22no—
580#11758198—22no—
581#11758198—22no—
582#11758198—22no—
583#11758198—22no—
584#11758198—22no—
585#11758198—22no—
586#11758198—22no—
587#11758198—22no—
588#11758198—22no—
589#11758198—22no—
590#11758198—22no—
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#11758198C2×D414yes—
606C4⋊Dic61—22no—
607C4⋊Dic61—22no—
608C4⋊Dic61—22no—
609C4⋊Dic61—22no—
610C4⋊Dic61—41no—
611C4⋊Dic61—41no—
612#11758196—22no—
613#11758196—22no—
614#11758196—22no—
615#11758196—22no—
616#11758196—22no—
617#11758196—22no—
618#11758196—41no—
619#11758196—41no—
620#11758196—41no—
621#11758196—41no—
622#11758196—41no—
623#11758196—41no—
624#11758196—41no—
625#11758196C2×D414yes—
626C4×Dic61—22no—
627C4×Dic61—22no—
628C4×Dic61—41no—
629C4×Dic61—41no—
630C4×Dic61C2×D414yes—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
647C23×C61—21no—
648C23×C61—21no—
649C23×C61—21no—
650C23×C61—21no—
651C23×C61—21no—
652C23×C61—21no—
653C23×C61—21no—
654C23×C61—21no—
655C23×C61—21no—
656C23×C61—21no—
657C23×C61C22×D412yes—
658C23×C61H(5,𝔽2)12yes—
659C23×C61C2511yescharacteristic
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—21no—
671C22×D61—21no—
672C22×D61—21no—
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—44no—
687C22×D61—44no—
688C22×D61—44no—
689C22×D61—44no—
690C22×D61—44no—
691C22×D61—44no—
692C22×D61—44no—
693C22×D61C22×D412yes—
694C22×D61H(5,𝔽2)12yes—
695Q8×C61—44no—
696D4×C61—44no—
697D4×C61—44no—
698D4×C61—44no—
699D4×C61—82no—
700D4×C61—82no—
701D4×C61—82no—
702C2×C4×C61—28no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—44no—
734C2×C4×C61—44no—
735C2×C4×C61—82no—
736C2×C4×C61—82no—
737C2×C4×C61C22×D412yes—
738C2×C4×C61C22×D412yes—
739C2×C4×C61H(5,𝔽2)12yes—
740C22⋊D61—44no—
741C22⋊D61—44no—
742C22⋊D61—44no—
743C22⋊D61—44no—
744C22⋊D61—44no—
745C22⋊D61—82no—
746C22⋊D61—82no—
747C22⋊D61—82no—
748C22⋊D61—82no—
749C22⋊D61—82no—
750C22⋊D61—82no—
751C22⋊D61—82no—
752C22⋊D61—82no—
753C22⋊D61—82no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—21no—
787C2×Dic61—44no—
788C2×Dic61—82no—
789C2×Dic61C22×D412yes—
790C2×Dic61C22×D412yes—
791C2×Dic61C22×D412yes—
792D244—82no—
793D244—82no—
794D244—82no—
795D244—82no—
796D244—82no—
797C4×D61—44no—
798C4×D61—44no—
799C4×D61—44no—
800C4×D61—44no—
801C4×D61—44no—
802C4×D61—82no—
803#36713—611nomaximal, Sylow
804C22×C61—22no—
805C22×C61—22no—
806C22×C61—22no—
807C22×C61—22no—
808C22×C61—22no—
809C22×C61—22no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61C23×D411yescharacteristic
833C22×C61C2×H(5,𝔽2)11yescharacteristic
834C22×C61C2×H(5,𝔽2)11yescharacteristic
835C22×C61C2×H(5,𝔽2)11yescharacteristic
836C22×C61#58511yescharacteristic
837C22×C61#58511yescharacteristic
838C22×C61#58511yescharacteristic
839C2×D61—22no—
840C2×D61—22no—
841C2×D61—22no—
842C2×D61—22no—
843C2×D61—22no—
844C2×D61—22no—
845C2×D61—416no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—41no—
866C2×D61—41no—
867C2×D61—41no—
868C4×C61—22no—
869C4×C61—22no—
870C4×C61—22no—
871C4×C61—41no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61—41no—
878C4×C61—41no—
879Dic61—22no—
880Dic61—22no—
881Dic61—22no—
882Dic61—41no—
883Dic61—41no—
884Dic61—41no—
885Dic61—41no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890Dic61—41no—
891C2×#540—611no—
892C2×#525—611no—
893#2849—611no—
894#2847—611no—
895#2694—611no—
896#2693—611no—
897#2690—611no—
898#2688—611no—
899#2687—611no—
900#2678—611no—
901#2676—611no—
902#2675—611no—
903#2673—611no—
904#2673—611no—
905#2672—611no—
906#2671—611no—
907#2671—611no—
908#2669—611no—
909#2669—611no—
910#2668—611no—
911#2635—611no—
912#2630—611no—
913#2609—611no—
914#2602—611no—
915#2598—611no—
916#2598—611no—
917#2543—611no—
918#2535—611no—
919#2431—611no—
920#2430D6111yescharacteristic, complemented
921#2318—611no—
922C2×C61—42no—
923C2×C61—42no—
924C2×C61—81no—
925C2×C61—81no—
926C2×C61#344911yescharacteristic
927C2×C61#348411yescharacteristic
928C2×C61#348811yescharacteristic
929C2×C61#353311yescharacteristic
930C2×C61#353411yescharacteristic
931C2×C61#353911yescharacteristic
932C2×C61#354211yescharacteristic
933D61—42no—
934D61—42no—
935D61—81no—
936D61—81no—
937C22×#41C2×D6111yescharacteristic
938C24×C4—611no—
939#540—1228no—
940C2×#127—611no—
941C2×#127—611no—
942C2×#125—611no—
943C2×#124—611no—
944#525—1228no—
945C2×#123—611no—
946C2×#123—611no—
947C2×#123—611no—
948C2×#123—611no—
949C2×#123—611no—
950C2×#123—611no—
951C2×#123C2×D6111yescharacteristic, complemented
952C2×C22⋊Q8—611no—
953C2×C22⋊Q8—611no—
954C2×#121—611no—
955C2×#121—611no—
956C2×#121—611no—
957C2×#121—611no—
958C2×#121—611no—
959C2×#121—611no—
960C2×#121—611no—
961C2×#121—611no—
962C2×#121—611no—
963C2×#121—611no—
964C2×#121—611no—
965C2×#121—611no—
966C2×#121—611no—
967C2×#121—611no—
968C2×#121C2×D6111yescharacteristic
969C2×#121C2×D6111yescharacteristic, complemented
970C2×#120—611no—
971C2×#120—611no—
972C2×#120—611no—
973C2×#120—611no—
974C2×#120—611no—
975C2×C4×D4—611no—
976C2×C4×D4—611no—
977C2×C4×D4—611no—
978C2×C4×D4—611no—
979C2×C4×D4—611no—
980C2×#117—611no—
981C2×#117—611no—
982#400—611no—
983#400—611no—
984#400—611no—
985#399—611no—
986#399—611no—
987#399—611no—
988#398—611no—
989#398—611no—
990#398—611no—
991#397—611no—
992#397—611no—
993#397—611no—
994#397—611no—
995#397—611no—
996#396—611no—
997#396—611no—
998#396—611no—
999#396—611no—
1000#395C2×D6111yescharacteristic, complemented
1001#394—611no—
1002#394—611no—
1003#394—611no—
1004#394—611no—
1005#394—611no—
1006#394—611no—
1007#394—611no—
1008#394—611no—
1009#394—611no—
1010#394—611no—
1011#394—611no—
1012#394—611no—
1013#394C2×D6111yescharacteristic
1014#393C2×D6111yescharacteristic, complemented
1015#392—611no—
1016#392—611no—
1017#392—611no—
1018#392—611no—
1019#392—611no—
1020#392—611no—
1021#392—611no—
1022#392—611no—
1023#392—611no—
1024#392—611no—
1025#392—611no—
1026#392—611no—
1027#392—611no—
1028#392—611no—
1029#392C2×D6111yescharacteristic
1030#391—611no—
1031#390—611no—
1032#390—611no—
1033#389—611no—
1034#388—611no—
1035#388—611no—
1036#388—611no—
1037#388—611no—
1038#388—611no—
1039#388—611no—
1040#388—611no—
1041#388—611no—
1042#388—611no—
1043#388—611no—
1044#387—611no—
1045#387—611no—
1046#387—611no—
1047#387—611no—
1048#386—611no—
1049#386—611no—
1050#386—611no—
1051#386—611no—
1052#386—611no—
1053#386—611no—
1054#386—611no—
1055#386—611no—
1056#386—611no—
1057#386—611no—
1058#386—611no—
1059#386—611no—
1060#386—611no—
1061#386—611no—
1062#386—611no—
1063#386—611no—
1064#386—611no—
1065#386—611no—
1066#386—611no—
1067#386—611no—
1068#386C2×D6111yescharacteristic
1069#386C2×D6111yescharacteristic
1070#386C2×D6111yescharacteristic, complemented
1071#386C2×D6111yescharacteristic, complemented
1072#385—611no—
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385—611no—
1080#385C2×D6111yescharacteristic
1081#385C2×D6111yescharacteristic, complemented
1082#383—611no—
1083#382—611no—
1084#381—611no—
1085#381—611no—
1086#380—611no—
1087#380—611no—
1088#380—611no—
1089#380—611no—
1090#380—611no—
1091#379—611no—
1092C4×C22⋊C4—611no—
1093C2×#95C2×D6111yescharacteristic, complemented
1094C61#3671311yescharacteristic, complemented, Sylow
1095C25—611no—
1096C2×#41—24no—
1097C2×#41—42no—
1098C2×#41—42no—
1099C22×Q8C22×D6111yescharacteristic
1100C22×D4—611no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—611no—
1104C22×D4—611no—
1105C22×D4—611no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—611no—
1109C22×D4—611no—
1110C22×D4—611no—
1111C22×D4—611no—
1112C22×D4—611no—
1113C22×D4—611no—
1114C22×D4—611no—
1115C22×D4—611no—
1116C22×D4—611no—
1117C22×D4—611no—
1118C22×D4—611no—
1119C22×D4C22×D6111yescharacteristic
1120C22×D4C22×D6111yescharacteristic
1121C22×D4C22×D6111yescharacteristic
1122C22×D4C22×D6111yescharacteristic
1123C22×D4C22×D6111yescharacteristic
1124C22×D4C22×D6111yescharacteristic
1125C23×C4—611no—
1126C23×C4—611no—
1127C23×C4—611no—
1128C23×C4—611no—
1129C23×C4—611no—
1130C23×C4—611no—
1131C23×C4—611no—
1132C23×C4—611no—
1133C23×C4—1224no—
1134C23×C4—2442no—
1135C23×C4—2442no—
1136C23×C4C22×D6111yescharacteristic
1137C23×C4C22×D6111yescharacteristic
1138C23×C4C22×D6111yescharacteristic
1139C23×C4C22×D6111yescharacteristic
1140C23×C4C22×D6111yescharacteristic
1141#127—1224no—
1142#127—2442no—
1143#125—1224no—
1144#124—2442no—
1145#123—24no—
1146#123—1224no—
1147#123—1224no—
1148#123—1224no—
1149#123—1224no—
1150#123—1224no—
1151#123—2442no—
1152C22⋊Q8—1224no—
1153C22⋊Q8—1224no—
1154#121—42no—
1155#121—42no—
1156#121—1224no—
1157#121—1224no—
1158#121—1224no—
1159#121—1224no—
1160#121—1224no—
1161#121—1224no—
1162#121—1224no—
1163#121—1224no—
1164#121—2442no—
1165#121—2442no—
1166#121—2442no—
1167#121—2442no—
1168#121—2442no—
1169#121—2442no—
1170#120—1224no—
1171#120—1224no—
1172#120—2442no—
1173#120—2442no—
1174#120—2442no—
1175C4×D4—618no—
1176C4×D4—1224no—
1177C4×D4—1224no—
1178C4×D4—1224no—
1179C4×D4—1224no—
1180#117—1224no—
1181#117—1224no—
1182C2×C4⋊C4—611no—
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—611no—
1187C2×C4⋊C4—611no—
1188C2×C4⋊C4—611no—
1189C2×C4⋊C4—611no—
1190C2×C4⋊C4—611no—
1191C2×C4⋊C4—611no—
1192C2×C4⋊C4—611no—
1193C2×C4⋊C4—611no—
1194C2×C4⋊C4—611no—
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4—611no—
1197C2×C4⋊C4—611no—
1198C2×C4⋊C4—611no—
1199C2×C4⋊C4—611no—
1200C2×C4⋊C4—611no—
1201C2×C4⋊C4—611no—
1202C2×C4⋊C4C22×D6111yescharacteristic
1203C2×C4⋊C4C22×D6111yescharacteristic
1204C2×C4⋊C4C22×D6111yescharacteristic
1205C2×C4⋊C4C22×D6111yescharacteristic
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—611no—
1243C2×C22⋊C4—611no—
1244C2×C22⋊C4—611no—
1245C2×C22⋊C4—611no—
1246C2×C22⋊C4—611no—
1247C2×C22⋊C4—611no—
1248C2×C22⋊C4—611no—
1249C2×C22⋊C4C22×D6111yescharacteristic
1250C2×C22⋊C4C22×D6111yescharacteristic
1251C2×C22⋊C4C22×D6111yescharacteristic
1252C2×C22⋊C4C22×D6111yescharacteristic
1253C2×C22⋊C4C22×D6111yescharacteristic
1254C2×C22⋊C4C22×D6111yescharacteristic
1255C2×C22⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4C22×D6111yescharacteristic
1257C2×C22⋊C4C22×D6111yescharacteristic
1258C2×C22⋊C4C22×D6111yescharacteristic
1259C2×C22⋊C4C22×D6111yescharacteristic
1260C2×C42—611no—
1261C2×C42—611no—
1262C2×C42—611no—
1263C2×C42—611no—
1264C2×C42—611no—
1265#95—611no—
1266#95—611no—
1267#95—611no—
1268#95—611no—
1269#95—611no—
1270#95—611no—
1271#95—611no—
1272#95—611no—
1273#95—611no—
1274#95—611no—
1275#95—611no—
1276#95—611no—
1277#95—611no—
1278#95—611no—
1279#95—611no—
1280#95—611no—
1281#95—611no—
1282#95—611no—
1283#95—611no—
1284#95—611no—
1285#95—611no—
1286#95—611no—
1287#95—611no—
1288#95—611no—
1289#95C22×D6111yescharacteristic
1290#95C22×D6111yescharacteristic
1291#95C22×D6111yescharacteristic
1292#95C22×D6111yescharacteristic
1293#95C22×D6111yescharacteristic
1294#95C22×D6111yescharacteristic
1295#95C22×D6111yescharacteristic
1296#95C22×D6111yescharacteristic
1297C24—611no—
1298C24—611no—
1299C24—611no—
1300C24—611no—
1301C24—1222no—
1302C24—1222no—
1303C24—1222no—
1304C24—2441no—
1305C24—2441no—
1306C24—2441no—
1307C24—2441no—
1308C24C23×D6111yescharacteristic
1309C24C23×D6111yescharacteristic
1310C24C23×D6111yescharacteristic
1311C24C23×D6111yescharacteristic
1312#41—416no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—614no—
1335C2×D4—1222no—
1336C2×D4—1222no—
1337C2×D4—1222no—
1338C2×D4—1222no—
1339C2×D4—1222no—
1340C2×D4—1222no—
1341C2×D4—1222no—
1342C2×D4—1222no—
1343C2×D4—1222no—
1344C2×D4—1222no—
1345C2×D4—1222no—
1346C2×D4—1222no—
1347C2×D4—1222no—
1348C2×D4—1222no—
1349C2×D4—1222no—
1350C2×D4—1222no—
1351C2×D4—1222no—
1352C2×D4—1222no—
1353C2×D4—2441no—
1354C2×D4—2441no—
1355C2×D4—2441no—
1356C2×D4—2441no—
1357C2×D4—2441no—
1358C2×D4—2441no—
1359C2×D4—2441no—
1360C2×D4—2441no—
1361C2×D4—2441no—
1362C2×D4—2441no—
1363C2×D4—2441no—
1364C2×D4—2441no—
1365C2×D4—2441no—
1366C2×D4—2441no—
1367C2×D4—2441no—
1368C2×D4—2441no—
1369C2×D4—2441no—
1370C2×D4—2441no—
1371C2×D4—2441no—
1372C2×D4—2441no—
1373C2×D4—2441no—
1374C2×D4—2441no—
1375C2×D4—2441no—
1376C2×D4—2441no—
1377C2×D4—2441no—
1378C2×D4—2441no—
1379C2×D4—2441no—
1380C2×D4—2441no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4—2441no—
1384C2×D4—2441no—
1385C2×D4—2441no—
1386C2×D4—2441no—
1387C2×D4—2441no—
1388C2×D4—2441no—
1389C2×D4—2441no—
1390C2×D4—2441no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—611no—
1408C22×C4—614no—
1409C22×C4—611no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—611no—
1415C22×C4—611no—
1416C22×C4—611no—
1417C22×C4—611no—
1418C22×C4—1222no—
1419C22×C4—1222no—
1420C22×C4—1222no—
1421C22×C4—1222no—
1422C22×C4—1222no—
1423C22×C4—1222no—
1424C22×C4—1222no—
1425C22×C4—1222no—
1426C22×C4—1222no—
1427C22×C4—1222no—
1428C22×C4—2441no—
1429C22×C4—2441no—
1430C22×C4—2441no—
1431C22×C4—2441no—
1432C22×C4—2441no—
1433C22×C4—2441no—
1434C22×C4—2441no—
1435C22×C4—2441no—
1436C22×C4—2441no—
1437C22×C4—2441no—
1438C22×C4—24416no—
1439C22×C4—2441no—
1440C22×C4—2441no—
1441C22×C4—2441no—
1442C22×C4D4×D6114yes—
1443C22×C4C23×D6111yescharacteristic
1444C22×C4C23×D6111yescharacteristic
1445C22×C4C23×D6111yescharacteristic
1446C22×C4C23×D6111yescharacteristic
1447C22×C4C23×D6111yescharacteristic
1448C22×C4C23×D6111yescharacteristic
1449C22×C4C23×D6111yescharacteristic
1450C22×C4C23×D6111yescharacteristic
1451C22×C4C23×D6111yescharacteristic
1452C22×C4C23×D6111yescharacteristic
1453C22×C4C23×D6111yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—41no—
1458C4⋊C4—614no—
1459C4⋊C4—1222no—
1460C4⋊C4—1222no—
1461C4⋊C4—1222no—
1462C4⋊C4—1222no—
1463C4⋊C4—1222no—
1464C4⋊C4—1222no—
1465C4⋊C4—1222no—
1466C4⋊C4—1222no—
1467C4⋊C4—1222no—
1468C4⋊C4—1222no—
1469C4⋊C4—2441no—
1470C4⋊C4—2441no—
1471C4⋊C4—2441no—
1472C4⋊C4—2441no—
1473C4⋊C4—2441no—
1474C4⋊C4—2441no—
1475C4⋊C4—2441no—
1476C4⋊C4—2441no—
1477C4⋊C4—2441no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—614no—
1490C22⋊C4—614no—
1491C22⋊C4—1222no—
1492C22⋊C4—1222no—
1493C22⋊C4—1222no—
1494C22⋊C4—1222no—
1495C22⋊C4—1222no—
1496C22⋊C4—1222no—
1497C22⋊C4—1222no—
1498C22⋊C4—1222no—
1499C22⋊C4—1222no—
1500C22⋊C4—1222no—
1501C22⋊C4—1222no—
1502C22⋊C4—1222no—
1503C22⋊C4—1222no—
1504C22⋊C4—1222no—
1505C22⋊C4—1222no—
1506C22⋊C4—1222no—
1507C22⋊C4—1222no—
1508C22⋊C4—1222no—
1509C22⋊C4—2441no—
1510C22⋊C4—2441no—
1511C22⋊C4—2441no—
1512C22⋊C4—2441no—
1513C22⋊C4—2441no—
1514C22⋊C4—2441no—
1515C22⋊C4—2441no—
1516C22⋊C4—2441no—
1517C22⋊C4—2441no—
1518C22⋊C4—2441no—
1519C22⋊C4—2441no—
1520C22⋊C4—2441no—
1521C22⋊C4—2441no—
1522C22⋊C4—2441no—
1523C22⋊C4—2441no—
1524C22⋊C4—2441no—
1525C22⋊C4—2441no—
1526C22⋊C4—2441no—
1527C22⋊C4—2441no—
1528C22⋊C4—2441no—
1529C22⋊C4—2441no—
1530C22⋊C4—2441no—
1531C22⋊C4—2441no—
1532C42—614no—
1533C42—1222no—
1534C42—1222no—
1535C42—2441no—
1536C42—2441no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—612no—
1564C23—612no—
1565C23—1221no—
1566C23—1221no—
1567C23—1221no—
1568C23—1221no—
1569C23—1221no—
1570C23—1221no—
1571C23—1221no—
1572C23—1221no—
1573C23—1221no—
1574C23—1221no—
1575C23—1221no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—1221no—
1580C23—1221no—
1581C23—1221no—
1582C23—1221no—
1583C23—1221no—
1584C23—1221no—
1585C23—1221no—
1586C23—1221no—
1587C23—1221no—
1588C23—1221no—
1589C23—1221no—
1590C23—1221no—
1591C23—2444no—
1592C23—2444no—
1593C23—2444no—
1594C23—2444no—
1595C23—2444no—
1596C23—2444no—
1597C23—2444no—
1598C23C2×D4×D6112yes—
1599C23#1451982212yes—
1600C23C24×D6111yescharacteristic
1601Q8—44no—
1602D4—44no—
1603D4—44no—
1604D4—44no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—4882no—
1609D4—4882no—
1610D4—4882no—
1611D4—4882no—
1612D4—4882no—
1613D4—4882no—
1614D4—4882no—
1615D4—4882no—
1616D4—4882no—
1617D4—4882no—
1618D4—4882no—
1619D4—4882no—
1620D4—4882no—
1621D4—4882no—
1622D4—2444no—
1623D4—2444no—
1624D4—2444no—
1625D4—2444no—
1626D4—2444no—
1627C2×C4—28no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—82no—
1661C2×C4—82no—
1662C2×C4—612no—
1663C2×C4—612no—
1664C2×C4—612no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—1221no—
1671C2×C4—1221no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—1221no—
1697C2×C4—1221no—
1698C2×C4—4882no—
1699C2×C4—4882no—
1700C2×C4—2444no—
1701C2×C4—2444no—
1702C2×C4—2444no—
1703C2×C4—2444no—
1704C2×C4—2444no—
1705C2×C4—2444no—
1706C2×C4C2×D4×D6112yes—
1707C2×C4C2×D4×D6112yes—
1708C2×C4#1451982212yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—1222no—
1738C22—1222no—
1739C22—1222no—
1740C22—1222no—
1741C22—1222no—
1742C22—1222no—
1743C22—24416no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22—2441no—
1752C22—2441no—
1753C22—2441no—
1754C22—2441no—
1755C22—2441no—
1756C22—2441no—
1757C22—2441no—
1758C22—2441no—
1759C22—2441no—
1760C22—2441no—
1761C22—2441no—
1762C22—2441no—
1763C22—2441no—
1764C22—2441no—
1765C22—2441no—
1766C22C22×D4×D6111yescharacteristic
1767C22H(5,𝔽2)×D6111yescharacteristic
1768C22C2×#1451982211yescharacteristic
1769C22C2×#1451982211yescharacteristic
1770C22#1684059811yescharacteristic
1771C22#1684059811yescharacteristic
1772C22#1684059911yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—1222no—
1785C4—1222no—
1786C4—1222no—
1787C4—2441no—
1788C4—2441no—
1789C4—2441no—
1790C4—2441no—
1791C4—2441no—
1792C4—2441no—
1793C4—2441no—
1794C4—2441no—
1795C4—2441no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—81no—
1800C2—4881no—
1801C2—4881no—
1802C2—2442no—
1803C2—2442no—
1804C2#2145914611yescharacteristic
1805C2#2145944811yescharacteristic
1806C2#2145948311yescharacteristic
1807C2#2145998911yescharacteristic
1808C2#2146000111yescharacteristic
1809C2#2146007411yescharacteristic
1810C2#2146013311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2430C2
hypercenter#2430D61
hypocenterC61#36713
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2430

Complements

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

NH ≅ G/Ntype
1. C2×#16840364C2semidirect
2. C2×#16840269C2semidirect
3. #21454114C2semidirect
4. #21454100C2semidirect
5. #21452338C2semidirect
6. #21452325C2semidirect
7. #21452284C2semidirect
8. #21452250C2semidirect
9. #21452239C2semidirect
10. #21452137C2semidirect
11. #21452119C2semidirect
12. #21452109C2semidirect
13. #21452087C2semidirect
14. #21452080C2semidirect
15. #21452069C2semidirect
16. #21452056C2semidirect
17. #21452049C2semidirect
18. #21452035C2semidirect
19. #21452031C2semidirect
20. #21452024C2semidirect
21. #21451707C2semidirect
22. #21451664C2semidirect
23. #21451495C2semidirect
24. #21451433C2semidirect
25. #21451384C2semidirect
26. #21451381C2semidirect
27. #21450779C2semidirect
28. #21450719C2semidirect
29. #21449434C2semidirect
30. #21448453C2semidirect
31. C61×#2430C2semidirect
36. C2×#14519767C22semidirect
37. C2×#14519766C22semidirect
42. C2×#14519759C22semidirect
50. C2×#14519751C22semidirect
55. C2×#14519750C22semidirect
58. C2×#14519749C22semidirect
70. C2×#14519737C22semidirect
72. C2×#14519735C22semidirect
73. #16839704C22semidirect
74. #16839704C22semidirect
75. #16839703C22semidirect
77. #16839698C22semidirect
78. #16839697C22semidirect
79. #16839694C22semidirect
80. #16839694C22semidirect
81. #16839693C22semidirect
83. #16839690C22semidirect
84. #16839690C22semidirect
87. #16839686C22semidirect
89. #16839685C22semidirect
90. #16839684C22semidirect
92. #16839680C22semidirect
96. #16839678C22semidirect
100. #16839677C22semidirect
101. #16839677C22semidirect
102. #16839676C22semidirect
113. #16839670C22semidirect
114. #16839670C22semidirect
115. #16839670C22semidirect
116. #16839670C22semidirect
117. #16839669C22semidirect
120. #16839657C22semidirect
121. #16839656C22semidirect
122. #16839656C22semidirect
124. #16839654C22semidirect
125. #16839654C22semidirect
130. #16839650C22semidirect
131. #16839648C22semidirect
132. #16839644C22semidirect
133. #16839644C22semidirect
134. #16839643C22semidirect
140. #16839641C22semidirect
141. #16839641C22semidirect
142. #16839641C22semidirect
143. #16839641C22semidirect
154. #16839638C22semidirect
155. #16839637C22semidirect
156. #16839636C22semidirect
157. #16839636C22semidirect
158. #16839635C22semidirect
159. #16839635C22semidirect
163. #16839629C22semidirect
164. #16839626C22semidirect
169. #16839621C22semidirect
171. #16839620C22semidirect
173. C4×C22⋊Dic61C22semidirect
175. C2×#123×C61C22semidirect
177. C2×#121×C61C22semidirect
178. C61×#395C22semidirect
180. C61×#393C22semidirect
184. C61×#386C22semidirect
185. C61×#386C22semidirect
187. C61×#385C22semidirect
188. C2×#95×C61C22semidirect
254. C4×C22⋊D61D4semidirect
920. #2430D61semidirect
951. C2×#123C2×D61semidirect
969. C2×#121C2×D61semidirect
1000. #395C2×D61semidirect
1014. #393C2×D61semidirect
1070. #386C2×D61semidirect
1071. #386C2×D61semidirect
1081. #385C2×D61semidirect
1093. C2×#95C2×D61semidirect
1094. C61#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#168403642
C2×#168402692
#214541142
#214541002
#214523382
#214523252
#214522842
#214522502
#214522392
#214521372
#214521192
#214521092
#214520872
#214520802
#214520692
#214520562
#214520492
#214520352
#214520312
#214520242
#214517072
#214516642
#214514952
#214514332
#214513842
#214513812
#214507792
#214507192
#214494342
#214484532
C61×#24302
#3671361