Finite Group Databasebeta

← #29887511

Subgroups — #29887511

Order 15616.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840362C211yesmaximal, characteristic, complemented
2C2×#16840352C211yesmaximal, characteristic, complemented
3#21454163C211yesmaximal, characteristic, complemented
4#21454152C211yesmaximal, characteristic, complemented
5#21452713C211yesmaximal, characteristic, complemented
6#21452610C211yesmaximal, characteristic, complemented
7#21452336C211yesmaximal, characteristic, complemented
8#21452158C211yesmaximal, characteristic, complemented
9#21452142C211yesmaximal, characteristic, complemented
10#21452119C211yesmaximal, characteristic, complemented
11#21452112C211yesmaximal, characteristic, complemented
12#21452089C211yesmaximal, characteristic, complemented
13#21452078C211yesmaximal, characteristic, complemented
14#21452066C211yesmaximal, characteristic, complemented
15#21452059C211yesmaximal, characteristic, complemented
16#21452055C211yesmaximal, characteristic, complemented
17#21452035C211yesmaximal, characteristic, complemented
18#21452031C211yesmaximal, characteristic, complemented
19#21452026C211yesmaximal, characteristic, complemented
20#21451954C211yesmaximal, characteristic, complemented
21#21451952C211yesmaximal, characteristic, complemented
22#21451507C211yesmaximal, characteristic, complemented
23#21451445C211yesmaximal, characteristic, complemented
24#21451434C211yesmaximal, characteristic, complemented
25#21451417C211yesmaximal, characteristic, complemented
26#21450757C211yesmaximal, characteristic, complemented
27#21450749C211yesmaximal, characteristic, complemented
28#21449232C211yesmaximal, characteristic, complemented
29#21449207C211yesmaximal, characteristic, complemented
30#21448261C211yesmaximal, characteristic, complemented
31C61×#2681C211yesmaximal, characteristic, complemented
32#16840362—28no—
33#16840352—28no—
34C2×#14519773C2211yescharacteristic
35C2×#14519773C2211yescharacteristic
36C2×#14519772C2211yescharacteristic
37C2×#14519772C2211yescharacteristic
38C2×#14519767C2211yescharacteristic, complemented
39C2×#14519766C2211yescharacteristic
40C2×#14519766C2211yescharacteristic
41C2×#14519762C2211yescharacteristic
42C2×#14519762C2211yescharacteristic
43C2×#14519762C2211yescharacteristic, complemented
44C2×#14519760C2211yescharacteristic
45C2×#14519760C2211yescharacteristic, complemented
46C2×#14519759C2211yescharacteristic
47C2×#14519758C2211yescharacteristic
48C2×#14519753C2211yescharacteristic, complemented
49C2×#14519752C2211yescharacteristic
50C2×#14519752C2211yescharacteristic
51C2×#14519752C2211yescharacteristic
52C2×#14519752C2211yescharacteristic
53C2×#14519751C2211yescharacteristic
54C2×#14519751C2211yescharacteristic
55C2×#14519750C2211yescharacteristic
56C2×#14519750C2211yescharacteristic
57C2×#14519750C2211yescharacteristic, complemented
58C2×#14519750C2211yescharacteristic, complemented
59C2×#14519750C2211yescharacteristic, complemented
60C2×#14519750C2211yescharacteristic, complemented
61C2×#14519749C2211yescharacteristic
62C2×#14519749C2211yescharacteristic
63C2×#14519749C2211yescharacteristic, complemented
64C2×#14519748C2211yescharacteristic, complemented
65C2×#14519747C2211yescharacteristic
66C2×#14519747C2211yescharacteristic
67C2×#14519747C2211yescharacteristic
68C2×#14519745C2211yescharacteristic
69C2×#14519745C2211yescharacteristic
70C2×C4×C22⋊D61C2211yescharacteristic, complemented
71C2×#14519737C2211yescharacteristic
72C2×#14519737C2211yescharacteristic
73C2×#14519733C2211yescharacteristic
74C2×#14519733C2211yescharacteristic, complemented
75C22×#11758198C2211yescharacteristic
76C2×C42×D61C2211yescharacteristic, complemented
77#16839697C2211yescharacteristic
78#16839697C2211yescharacteristic
79#16839697C2211yescharacteristic
80#16839697C2211yescharacteristic, complemented
81#16839695C2211yescharacteristic, complemented
82#16839695C2211yescharacteristic, complemented
83#16839692C2211yescharacteristic, complemented
84#16839691C2211yescharacteristic
85#16839690C2211yescharacteristic
86#16839689C2211yescharacteristic
87#16839688C2211yescharacteristic, complemented
88#16839686C2211yescharacteristic
89#16839686C2211yescharacteristic
90#16839684C2211yescharacteristic
91#16839681C2211yescharacteristic, complemented
92#16839680C2211yescharacteristic
93#16839679C2211yescharacteristic
94#16839679C2211yescharacteristic
95#16839679C2211yescharacteristic, complemented
96#16839678C2211yescharacteristic
97#16839678C2211yescharacteristic
98#16839678C2211yescharacteristic, complemented
99#16839677C2211yescharacteristic
100#16839677C2211yescharacteristic
101#16839677C2211yescharacteristic
102#16839677C2211yescharacteristic, complemented
103#16839677C2211yescharacteristic, complemented
104#16839672C2211yescharacteristic
105#16839672C2211yescharacteristic
106#16839672C2211yescharacteristic, complemented
107#16839671C2211yescharacteristic
108#16839671C2211yescharacteristic
109#16839671C2211yescharacteristic
110#16839671C2211yescharacteristic
111#16839671C2211yescharacteristic
112#16839671C2211yescharacteristic
113#16839671C2211yescharacteristic
114#16839671C2211yescharacteristic
115#16839671C2211yescharacteristic, complemented
116#16839670C2211yescharacteristic
117#16839670C2211yescharacteristic
118#16839670C2211yescharacteristic
119#16839664C2211yescharacteristic
120#16839664C2211yescharacteristic
121#16839663C2211yescharacteristic
122#16839663C2211yescharacteristic
123#16839663C2211yescharacteristic, complemented
124#16839662C2211yescharacteristic
125#16839662C2211yescharacteristic
126#16839662C2211yescharacteristic
127#16839662C2211yescharacteristic
128#16839662C2211yescharacteristic, complemented
129#16839662C2211yescharacteristic, complemented
130#16839662C2211yescharacteristic, complemented
131#16839658C2211yescharacteristic, complemented
132#16839657C2211yescharacteristic, complemented
133#16839655C2211yescharacteristic
134#16839655C2211yescharacteristic, complemented
135#16839652C2211yescharacteristic
136#16839652C2211yescharacteristic
137#16839652C2211yescharacteristic, complemented
138#16839651C2211yescharacteristic
139#16839651C2211yescharacteristic
140#16839651C2211yescharacteristic
141#16839651C2211yescharacteristic, complemented
142#16839651C2211yescharacteristic, complemented
143#16839651C2211yescharacteristic, complemented
144#16839650C2211yescharacteristic, complemented
145#16839650C2211yescharacteristic, complemented
146#16839649C2211yescharacteristic, complemented
147#16839646C2211yescharacteristic, complemented
148#16839644C2211yescharacteristic, complemented
149#16839644C2211yescharacteristic, complemented
150#16839641C2211yescharacteristic
151#16839640C2211yescharacteristic
152#16839640C2211yescharacteristic
153#16839640C2211yescharacteristic, complemented
154#16839639C2211yescharacteristic
155#16839639C2211yescharacteristic
156#16839639C2211yescharacteristic, complemented
157#16839638C2211yescharacteristic
158#16839638C2211yescharacteristic
159#16839638C2211yescharacteristic, complemented
160#16839637C2211yescharacteristic, complemented
161#16839636C2211yescharacteristic, complemented
162#16839635C2211yescharacteristic
163#16839633C2211yescharacteristic, complemented
164#16839633C2211yescharacteristic, complemented
165#16839633C2211yescharacteristic, complemented
166#16839631C2211yescharacteristic, complemented
167#16839621C2211yescharacteristic, complemented
168#16839619C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic
170C4⋊C4×Dic61C2211yescharacteristic, complemented
171C22⋊C4×Dic61C2211yescharacteristic
172#16839609C2211yescharacteristic, complemented
173#16839607C2211yescharacteristic, complemented
174C2×#123×C61C2211yescharacteristic
175C2×C22⋊Q8×C61C2211yescharacteristic
176C2×C22⋊Q8×C61C2211yescharacteristic, complemented
177C2×#121×C61C2211yescharacteristic
178C61×#398C2211yescharacteristic, complemented
179C61×#396C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic
181C61×#394C2211yescharacteristic
182C61×#394C2211yescharacteristic, complemented
183C61×#393C2211yescharacteristic, complemented
184C61×#390C2211yescharacteristic, complemented
185C61×#389C2211yescharacteristic, complemented
186C61×#388C2211yescharacteristic
187C61×#386C2211yescharacteristic
188C61×#385C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219#14519773—24no—
220#14519773—42no—
221#14519772—24no—
222#14519772—24no—
223#14519767—24no—
224#14519766—24no—
225#14519766—24no—
226#14519762—24no—
227#14519762—24no—
228#14519762—24no—
229#14519760—24no—
230#14519760—42no—
231#14519759—24no—
232#14519758—24no—
233#14519753—42no—
234#14519752—24no—
235#14519752—24no—
236#14519752—42no—
237#14519752—42no—
238#14519751—24no—
239#14519751—42no—
240#14519750—24no—
241#14519750—42no—
242#14519750—42no—
243#14519750—42no—
244#14519750—42no—
245#14519750—42no—
246#14519749—24no—
247#14519749—24no—
248#14519749—24no—
249#14519748—24no—
250#14519747—24no—
251#14519747—24no—
252#14519747—42no—
253#14519745—42no—
254#14519745—42no—
255C4×C22⋊D61—24no—
256#14519737—24no—
257#14519737D418yescomplemented
258#14519733—24no—
259#14519733—42no—
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×#11758196C2311yescharacteristic
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×#11758198—24no—
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
326C2×C4×Dic61C2311yescharacteristic
327C2×C4×Dic61C2311yescharacteristic
328C2×C4×Dic61C2311yescharacteristic
329C2×C4×Dic61C2311yescharacteristic
330C2×C4×Dic61C2311yescharacteristic
331C2×C4×Dic61C2311yescharacteristic
332C2×C4×Dic61C2311yescharacteristic
333C42×D61—42no—
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
352C22×Q8×C61C2311yescharacteristic
353C22×D4×C61C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358#123×C61—42no—
359C22⋊Q8×C61—24no—
360C22⋊Q8×C61—42no—
361#121×C61—24no—
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊C4×C61C2311yescharacteristic
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C4⋊C4×C61C2311yescharacteristic
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C42×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—41no—
396C23×D61—41no—
397C23×D61—41no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C23×D61C2411yescharacteristic
405C23×D61C2411yescharacteristic
406C2×Q8×C61—22no—
407C2×Q8×C61—41no—
408C2×Q8×C61—41no—
409C2×D4×C61—22no—
410C2×D4×C61—22no—
411C2×D4×C61—22no—
412C2×D4×C61—41no—
413C2×D4×C61—41no—
414C2×D4×C61—41no—
415C2×D4×C61—41no—
416C2×D4×C61—41no—
417C2×D4×C61—41no—
418C22×C4×C61—22no—
419C22×C4×C61—22no—
420C22×C4×C61—41no—
421C22×C4×C61—41no—
422C22×C4×C61—41no—
423C22×C4×C61—41no—
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61—41no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
458C2×C22⋊D61—41no—
459C2×C22⋊D61—41no—
460C2×C22⋊D61—41no—
461C2×C22⋊D61—41no—
462C2×C22⋊D61—41no—
463C2×C22⋊D61—41no—
464C2×C22⋊D61—41no—
465C2×C22⋊D61—41no—
466C2×C22⋊D61—41no—
467C2×C22⋊D61—41no—
468C2×C22⋊D61—41no—
469C2×C22⋊D61—41no—
470C2×C22⋊D61—41no—
471C2×C22⋊D61—41no—
472C2×C22⋊D61—41no—
473C2×C22⋊D61—41no—
474C2×C22⋊D61C2×D414yes—
475C22×Dic61—22no—
476C22×Dic61—41no—
477C22×Dic61—41no—
478C22×Dic61—41no—
479C22×Dic61—41no—
480C22×Dic61C2×D414yes—
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C22×Dic61C2411yescharacteristic
487C22×Dic61C2411yescharacteristic
488C22×Dic61C2411yescharacteristic
489C22×Dic61C2411yescharacteristic
490C22×Dic61C2411yescharacteristic
491C22×Dic61C2411yescharacteristic
492C2×D244—22no—
493C2×D244—22no—
494C2×D244—22no—
495C2×D244—22no—
496C2×D244—22no—
497C2×D244—22no—
498C2×D244—22no—
499C2×D244—41no—
500C2×D244—41no—
501C2×D244—41no—
502C2×D244—41no—
503C2×D244—41no—
504C2×D244—41no—
505C2×D244—41no—
506C2×D244—41no—
507C2×D244—41no—
508C2×D244—41no—
509C2×D244—41no—
510C2×D244—41no—
511C2×D244—41no—
512C2×D244—41no—
513C2×D244—41no—
514C2×D244—41no—
515C2×D244—41no—
516C2×D244—41no—
517C2×D244—41no—
518C2×D244—41no—
519C2×C4×D61—22no—
520C2×C4×D61—22no—
521C2×C4×D61—22no—
522C2×C4×D61—22no—
523C2×C4×D61—22no—
524C2×C4×D61—41no—
525C2×C4×D61—41no—
526C2×C4×D61—41no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×C4×D61—41no—
532C2×C4×D61—41no—
533C2×C4×D61C2×D414yes—
534C4⋊C4×C61—22no—
535C4⋊C4×C61—22no—
536C4⋊C4×C61—22no—
537C4⋊C4×C61—22no—
538C4⋊C4×C61—22no—
539C4⋊C4×C61—22no—
540C4⋊C4×C61—41no—
541C4⋊C4×C61—41no—
542C4⋊C4×C61—41no—
543C22⋊C4×C61—22no—
544C22⋊C4×C61—22no—
545C22⋊C4×C61—22no—
546C22⋊C4×C61—22no—
547C22⋊C4×C61—22no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C22⋊C4×C61—41no—
553C22⋊C4×C61—41no—
554C22⋊C4×C61—41no—
555C22⋊C4×C61C2×D414yes—
556C42×C61—41no—
557C22⋊Dic61—22no—
558C22⋊Dic61—22no—
559C22⋊Dic61—22no—
560C22⋊Dic61—22no—
561C22⋊Dic61—22no—
562C22⋊Dic61—22no—
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—
595#11758198—41no—
596#11758198—41no—
597#11758198—41no—
598#11758198—41no—
599#11758198—41no—
600#11758198—41no—
601#11758198C2×D414yes—
602C4⋊Dic61—22no—
603C4⋊Dic61—22no—
604C4⋊Dic61—22no—
605C4⋊Dic61—41no—
606#11758196—22no—
607#11758196—22no—
608#11758196—22no—
609#11758196—22no—
610#11758196—22no—
611#11758196—22no—
612#11758196—22no—
613#11758196—22no—
614#11758196—22no—
615#11758196—41no—
616#11758196—41no—
617#11758196—41no—
618#11758196—41no—
619#11758196—41no—
620#11758196C2×D414yes—
621C4×Dic61—22no—
622C4×Dic61—22no—
623C4×Dic61—22no—
624C4×Dic61—22no—
625C4×Dic61—41no—
626C4×Dic61—41no—
627C4×Dic61—41no—
628C4×Dic61C2×D414yes—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
647C23×C61—21no—
648C23×C61—21no—
649C23×C61C22×D412yes—
650C23×C61C2511yescharacteristic
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—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—44no—
686C22×D61—82no—
687C22×D61—82no—
688C22×D61—82no—
689C22×D61—82no—
690C22×D61—82no—
691C22×D61—82no—
692C22×D61C22×D412yes—
693Q8×C61—82no—
694D4×C61—82no—
695D4×C61—82no—
696D4×C61—82no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—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—82no—
731C2×C4×C61—82no—
732C2×C4×C61C22×D412yes—
733C2×C4×C61C22×D412yes—
734C2×C4×C61H(5,𝔽2)12yes—
735C22⋊D61—44no—
736C22⋊D61—44no—
737C22⋊D61—44no—
738C22⋊D61—82no—
739C22⋊D61—82no—
740C22⋊D61—82no—
741C22⋊D61—82no—
742C22⋊D61—82no—
743C22⋊D61—82no—
744C22⋊D61—82no—
745C22⋊D61—82no—
746C22⋊D61—82no—
747C22⋊D61—82no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—44no—
777C2×Dic61—44no—
778C2×Dic61C22×D412yes—
779C2×Dic61C22×D412yes—
780C2×Dic61C22×D412yes—
781C2×Dic61H(5,𝔽2)12yes—
782C2×Dic61H(5,𝔽2)12yes—
783D244—82no—
784D244—82no—
785D244—82no—
786D244—82no—
787D244—82no—
788D244—82no—
789D244—82no—
790D244—82no—
791D244—82no—
792C4×D61—44no—
793C4×D61—44no—
794C4×D61—44no—
795C4×D61—82no—
796C4×D61—82no—
797#36744—611nomaximal, Sylow
798C22×C61—22no—
799C22×C61—22no—
800C22×C61—22no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61C23×D411yescharacteristic
820C22×C61C2×H(5,𝔽2)11yescharacteristic
821C22×C61C2×H(5,𝔽2)11yescharacteristic
822C22×C61C2×H(5,𝔽2)11yescharacteristic
823C22×C61#58511yescharacteristic
824C22×C61#58511yescharacteristic
825C22×C61#58511yescharacteristic
826C2×D61—22no—
827C2×D61—22no—
828C2×D61—22no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
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—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—88no—
862C4×C61—22no—
863C4×C61—22no—
864C4×C61—22no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61—41no—
870C4×C61—41no—
871C4×C61—41no—
872C4×C61—41no—
873C4×C61—41no—
874Dic61—22no—
875Dic61—22no—
876Dic61—22no—
877Dic61—22no—
878Dic61—22no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882Dic61—41no—
883Dic61—41no—
884Dic61—41no—
885C2×#540—611no—
886C2×#538—611no—
887#2856—611no—
888#2854—611no—
889#2721—611no—
890#2714—611no—
891#2694—611no—
892#2681D6111yescharacteristic, complemented
893#2680—611no—
894#2678—611no—
895#2676—611no—
896#2675—611no—
897#2673—611no—
898#2673—611no—
899#2672—611no—
900#2671—611no—
901#2671—611no—
902#2669—611no—
903#2669—611no—
904#2668—611no—
905#2661—611no—
906#2661—611no—
907#2610—611no—
908#2603—611no—
909#2602—611no—
910#2601—611no—
911#2540—611no—
912#2539—611no—
913#2414—611no—
914#2411—611no—
915#2290—611no—
916C2×C61—42no—
917C2×C61—81no—
918C2×C61—81no—
919C2×C61#344911yescharacteristic
920C2×C61#349611yescharacteristic
921C2×C61#349811yescharacteristic
922C2×C61#353411yescharacteristic
923C2×C61#354211yescharacteristic
924C2×C61#355111yescharacteristic
925C2×C61#356211yescharacteristic
926D61—42no—
927D61—81no—
928D61—81no—
929D61—81no—
930D61—81no—
931#540—1228no—
932#538—1228no—
933C2×#127—611no—
934C2×#127—611no—
935C2×#126—611no—
936C2×#126—611no—
937C2×#125—611no—
938C2×#124—611no—
939C2×#124—611no—
940C2×#123—611no—
941C2×#123—611no—
942C2×#123—611no—
943C2×#123—611no—
944C2×#123—611no—
945C2×#123—611no—
946C2×#123—611no—
947C2×#123C2×D6111yescharacteristic
948C2×C22⋊Q8—611no—
949C2×C22⋊Q8C2×D6111yescharacteristic
950C2×C22⋊Q8C2×D6111yescharacteristic, complemented
951C2×#121—611no—
952C2×#121—611no—
953C2×#121—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×#121C2×D6111yescharacteristic
968C2×#120—611no—
969C2×#120—611no—
970C2×#120—611no—
971C2×#120—611no—
972C2×#120—611no—
973C2×C4×D4—611no—
974C2×C4×D4—611no—
975C2×C4×D4—611no—
976C2×#117—611no—
977C2×#117—611no—
978C22×C22⋊C4—611no—
979C22×C42—611no—
980#399—611no—
981#399—611no—
982#399—611no—
983#399—611no—
984#398—611no—
985#398—611no—
986#398—611no—
987#398C2×D6111yescharacteristic, complemented
988#397—611no—
989#397—611no—
990#397—611no—
991#397—611no—
992#396—611no—
993#396—611no—
994#396—611no—
995#396C2×D6111yescharacteristic, complemented
996#395—611no—
997#394—611no—
998#394—611no—
999#394—611no—
1000#394—611no—
1001#394—611no—
1002#394—611no—
1003#394—611no—
1004#394—611no—
1005#394—611no—
1006#394—611no—
1007#394—611no—
1008#394—611no—
1009#394C2×D6111yescharacteristic
1010#394C2×D6111yescharacteristic
1011#394C2×D6111yescharacteristic, complemented
1012#393C2×D6111yescharacteristic, complemented
1013#392—611no—
1014#392—611no—
1015#392—611no—
1016#392—611no—
1017#392—611no—
1018#392—611no—
1019#392—611no—
1020#392—611no—
1021#392—611no—
1022#392—611no—
1023#392—611no—
1024#392—611no—
1025#392—611no—
1026#392—611no—
1027#392—611no—
1028#390—611no—
1029#390—611no—
1030#390—611no—
1031#390—611no—
1032#390—611no—
1033#390—611no—
1034#390—611no—
1035#390—611no—
1036#390—611no—
1037#390—611no—
1038#390—611no—
1039#390—611no—
1040#390C2×D6111yescharacteristic, complemented
1041#389—611no—
1042#389—611no—
1043#389C2×D6111yescharacteristic, complemented
1044#388—611no—
1045#388—611no—
1046#388—611no—
1047#388—611no—
1048#388—611no—
1049#388—611no—
1050#388—611no—
1051#388—611no—
1052#388—611no—
1053#388—611no—
1054#388—611no—
1055#388—611no—
1056#388—611no—
1057#388C2×D6111yescharacteristic
1058#387—611no—
1059#387—611no—
1060#387—611no—
1061#387—611no—
1062#386—611no—
1063#386—611no—
1064#386—611no—
1065#386—611no—
1066#386—611no—
1067#386—611no—
1068#386—611no—
1069#386—611no—
1070#386—611no—
1071#386—611no—
1072#386C2×D6111yescharacteristic
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385C2×D6111yescharacteristic, complemented
1080#384—611no—
1081#380—611no—
1082#380—611no—
1083#379—611no—
1084C4×C4⋊C4—611no—
1085C4×C22⋊C4—611no—
1086C4×C22⋊C4—611no—
1087#376—611no—
1088C61#3674411yescharacteristic, complemented, Sylow
1089C25—611no—
1090C22×Q8C22×D6111yescharacteristic
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—611no—
1095C22×D4—611no—
1096C22×D4—611no—
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—611no—
1100C22×D4—611no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—611no—
1104C22×D4—611no—
1105C22×D4—611no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—611no—
1109C22×D4—611no—
1110C22×D4—611no—
1111C22×D4—611no—
1112C22×D4—611no—
1113C22×D4C22×D6111yescharacteristic
1114C22×D4C22×D6111yescharacteristic
1115C22×D4C22×D6111yescharacteristic
1116C23×C4—611no—
1117C23×C4—611no—
1118C23×C4—611no—
1119C23×C4—611no—
1120C23×C4—611no—
1121C23×C4—611no—
1122C23×C4—611no—
1123C23×C4C22×D6111yescharacteristic
1124C23×C4C22×D6111yescharacteristic
1125#127—1224no—
1126#127—2442no—
1127#126—1224no—
1128#126—1224no—
1129#125—1224no—
1130#124—1224no—
1131#124—1224no—
1132#123—42no—
1133#123—1224no—
1134#123—1224no—
1135#123—1224no—
1136#123—1224no—
1137#123—1224no—
1138#123—1224no—
1139#123—2442no—
1140C22⋊Q8—24no—
1141C22⋊Q8—42no—
1142C22⋊Q8—2442no—
1143#121—24no—
1144#121—1224no—
1145#121—1224no—
1146#121—1224no—
1147#121—1224no—
1148#121—1224no—
1149#121—1224no—
1150#121—1224no—
1151#121—1224no—
1152#121—2442no—
1153#121—2442no—
1154#121—2442no—
1155#121—2442no—
1156#121—2442no—
1157#121—2442no—
1158#121—2442no—
1159#121—2442no—
1160#120—1224no—
1161#120—1224no—
1162#120—2442no—
1163#120—2442no—
1164#120—2442no—
1165C4×D4—618no—
1166C4×D4—1224no—
1167C4×D4—1224no—
1168#117—1224no—
1169#117—2442no—
1170C2×C4⋊C4—611no—
1171C2×C4⋊C4—611no—
1172C2×C4⋊C4—611no—
1173C2×C4⋊C4—611no—
1174C2×C4⋊C4—611no—
1175C2×C4⋊C4—611no—
1176C2×C4⋊C4—611no—
1177C2×C4⋊C4—611no—
1178C2×C4⋊C4—611no—
1179C2×C4⋊C4—611no—
1180C2×C4⋊C4—611no—
1181C2×C4⋊C4—611no—
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⋊C4C22×D6111yescharacteristic
1190C2×C4⋊C4C22×D6111yescharacteristic
1191C2×C4⋊C4C22×D6111yescharacteristic
1192C2×C4⋊C4C22×D6111yescharacteristic
1193C2×C4⋊C4C22×D6111yescharacteristic
1194C2×C4⋊C4C22×D6111yescharacteristic
1195C2×C4⋊C4C22×D6111yescharacteristic
1196C2×C4⋊C4C22×D6111yescharacteristic
1197C2×C4⋊C4C22×D6111yescharacteristic
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—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—1224no—
1244C2×C22⋊C4C22×D6111yescharacteristic
1245C2×C22⋊C4C22×D6111yescharacteristic
1246C2×C22⋊C4C22×D6111yescharacteristic
1247C2×C22⋊C4C22×D6111yescharacteristic
1248C2×C22⋊C4C22×D6111yescharacteristic
1249C2×C22⋊C4C22×D6111yescharacteristic
1250C2×C22⋊C4C22×D6111yescharacteristic
1251C2×C22⋊C4C22×D6111yescharacteristic
1252C2×C22⋊C4C22×D6111yescharacteristic
1253C2×C22⋊C4C22×D6111yescharacteristic
1254C2×C22⋊C4C22×D6111yescharacteristic
1255C2×C22⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4C22×D6111yescharacteristic
1257C2×C42—611no—
1258C2×C42—611no—
1259C2×C42—611no—
1260C2×C42—611no—
1261C2×C42—611no—
1262C2×C42—611no—
1263C2×C42—611no—
1264C2×C42—611no—
1265C2×C42—2442no—
1266C2×C42C22×D6111yescharacteristic
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#95C22×D6111yescharacteristic
1286#95C22×D6111yescharacteristic
1287#95C22×D6111yescharacteristic
1288#95C22×D6111yescharacteristic
1289#95C22×D6111yescharacteristic
1290#95C22×D6111yescharacteristic
1291C24—611no—
1292C24—611no—
1293C24—611no—
1294C24—611no—
1295C24—611no—
1296C24—1222no—
1297C24—2441no—
1298C24—2441no—
1299C24—2441no—
1300C24—2441no—
1301C24—2441no—
1302C24—2441no—
1303C24C23×D6111yescharacteristic
1304C24C23×D6111yescharacteristic
1305C24C23×D6111yescharacteristic
1306C2×Q8—22no—
1307C2×Q8—41no—
1308C2×Q8—41no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—614no—
1319C2×D4—1222no—
1320C2×D4—1222no—
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—1222no—
1334C2×D4—1222no—
1335C2×D4—1222no—
1336C2×D4—2441no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4—2441no—
1340C2×D4—2441no—
1341C2×D4—2441no—
1342C2×D4—2441no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—2441no—
1348C2×D4—2441no—
1349C2×D4—2441no—
1350C2×D4—2441no—
1351C2×D4—2441no—
1352C2×D4—2441no—
1353C2×D4—2441no—
1354C2×D4—2441no—
1355C2×D4—2441no—
1356C2×D4—2441no—
1357C2×D4—2441no—
1358C2×D4—2441no—
1359C2×D4—2441no—
1360C2×D4—2441no—
1361C2×D4—2441no—
1362C2×D4—2441no—
1363C2×D4—2441no—
1364C2×D4—2441no—
1365C2×D4—2441no—
1366C2×D4—2441no—
1367C2×D4—2441no—
1368C2×D4—2441no—
1369C2×D4—2441no—
1370C2×D4—2441no—
1371C2×D4—2441no—
1372C2×D4—2441no—
1373C2×D4—2441no—
1374C2×D4—2441no—
1375C2×D4—2441no—
1376C2×D4—2441no—
1377C2×D4—2441no—
1378C2×D4—2441no—
1379C2×D4—2441no—
1380C2×D4—2441no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4—2441no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—611no—
1391C22×C4—611no—
1392C22×C4—611no—
1393C22×C4—611no—
1394C22×C4—611no—
1395C22×C4—614no—
1396C22×C4—614no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—1222no—
1404C22×C4—1222no—
1405C22×C4—1222no—
1406C22×C4—1222no—
1407C22×C4—1222no—
1408C22×C4—1222no—
1409C22×C4—2441no—
1410C22×C4—2441no—
1411C22×C4—2441no—
1412C22×C4—2441no—
1413C22×C4—2441no—
1414C22×C4—2441no—
1415C22×C4—2441no—
1416C22×C4—2441no—
1417C22×C4—2441no—
1418C22×C4—2441no—
1419C22×C4—2441no—
1420C22×C4—2441no—
1421C22×C4—2441no—
1422C22×C4C23×D6111yescharacteristic
1423C22×C4C23×D6111yescharacteristic
1424C22×C4C23×D6111yescharacteristic
1425C22×C4C23×D6111yescharacteristic
1426C22×C4C23×D6111yescharacteristic
1427C22×C4C23×D6111yescharacteristic
1428C22×C4C23×D6111yescharacteristic
1429C22×C4C23×D6111yescharacteristic
1430C22×C4C23×D6111yescharacteristic
1431C22×C4C23×D6111yescharacteristic
1432C22×C4C23×D6111yescharacteristic
1433C22×C4C23×D6111yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—41no—
1441C4⋊C4—41no—
1442C4⋊C4—41no—
1443C4⋊C4—614no—
1444C4⋊C4—1222no—
1445C4⋊C4—1222no—
1446C4⋊C4—1222no—
1447C4⋊C4—1222no—
1448C4⋊C4—1222no—
1449C4⋊C4—1222no—
1450C4⋊C4—1222no—
1451C4⋊C4—1222no—
1452C4⋊C4—1222no—
1453C4⋊C4—1222no—
1454C4⋊C4—1222no—
1455C4⋊C4—1222no—
1456C4⋊C4—2441no—
1457C4⋊C4—2441no—
1458C4⋊C4—2441no—
1459C4⋊C4—2441no—
1460C4⋊C4—2441no—
1461C4⋊C4—2441no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—614no—
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—1222no—
1484C22⋊C4—1222no—
1485C22⋊C4—1222no—
1486C22⋊C4—1222no—
1487C22⋊C4—1222no—
1488C22⋊C4—1222no—
1489C22⋊C4—1222no—
1490C22⋊C4—1222no—
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—2441no—
1502C22⋊C4—2441no—
1503C22⋊C4—2441no—
1504C22⋊C4—2441no—
1505C22⋊C4—2441no—
1506C22⋊C4—2441no—
1507C22⋊C4—2441no—
1508C22⋊C4—2441no—
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⋊C4D4×D6114yes—
1520C42—41no—
1521C42—614no—
1522C42—1222no—
1523C42—1222no—
1524C42—1222no—
1525C42—1222no—
1526C42—2441no—
1527C42—2441no—
1528C42—2441no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
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—612no—
1550C23—1221no—
1551C23—1221no—
1552C23—1221no—
1553C23—1221no—
1554C23—1221no—
1555C23—1221no—
1556C23—1221no—
1557C23—1221no—
1558C23—1221no—
1559C23—1221no—
1560C23—1221no—
1561C23—1221no—
1562C23—1221no—
1563C23—1221no—
1564C23—1221no—
1565C23—1221no—
1566C23—1221no—
1567C23—1221no—
1568C23—1221no—
1569C23—1221no—
1570C23—1221no—
1571C23—1221no—
1572C23—1221no—
1573C23—1221no—
1574C23—1221no—
1575C23—1221no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—1221no—
1580C23—1221no—
1581C23—1221no—
1582C23—1221no—
1583C23—1221no—
1584C23—4882no—
1585C23—4882no—
1586C23—4882no—
1587C23—4882no—
1588C23—4882no—
1589C23—4882no—
1590C23—2444no—
1591C23C2×D4×D6112yes—
1592C23C24×D6111yescharacteristic
1593Q8—82no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—4882no—
1598D4—4882no—
1599D4—4882no—
1600D4—4882no—
1601D4—4882no—
1602D4—4882no—
1603D4—4882no—
1604D4—4882no—
1605D4—4882no—
1606D4—4882no—
1607D4—4882no—
1608D4—4882no—
1609D4—4882no—
1610D4—4882no—
1611D4—4882no—
1612D4—4882no—
1613D4—4882no—
1614D4—4882no—
1615D4—4882no—
1616D4—2444no—
1617D4—2444no—
1618D4—2444no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—82no—
1653C2×C4—82no—
1654C2×C4—612no—
1655C2×C4—612no—
1656C2×C4—612no—
1657C2×C4—612no—
1658C2×C4—612no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
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—4882no—
1688C2×C4—4882no—
1689C2×C4—2444no—
1690C2×C4—2444no—
1691C2×C4—2444no—
1692C2×C4—2444no—
1693C2×C4—2444no—
1694C2×C4C2×D4×D6112yes—
1695C2×C4C2×D4×D6112yes—
1696C2×C4#1451982212yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—1222no—
1719C22—1222no—
1720C22—1222no—
1721C22—4888no—
1722C22—2441no—
1723C22—2441no—
1724C22—2441no—
1725C22—2441no—
1726C22—2441no—
1727C22—2441no—
1728C22—2441no—
1729C22—2441no—
1730C22—2441no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22—2441no—
1738C22—2441no—
1739C22—2441no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22—2441no—
1752C22—2441no—
1753C22—2441no—
1754C22C22×D4×D6111yescharacteristic
1755C22H(5,𝔽2)×D6111yescharacteristic
1756C22H(5,𝔽2)×D6111yescharacteristic
1757C22C2×#1451982211yescharacteristic
1758C22#1684059811yescharacteristic
1759C22#1684059911yescharacteristic
1760C22#1684059911yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—1222no—
1774C4—1222no—
1775C4—1222no—
1776C4—1222no—
1777C4—1222no—
1778C4—2441no—
1779C4—2441no—
1780C4—2441no—
1781C4—2441no—
1782C4—2441no—
1783C4—2441no—
1784C2—42no—
1785C2—81no—
1786C2—81no—
1787C2—4881no—
1788C2—4881no—
1789C2—4881no—
1790C2—4881no—
1791C2—2442no—
1792C2#2145915111yescharacteristic
1793C2#2145957911yescharacteristic
1794C2#2145959111yescharacteristic
1795C2#2145999811yescharacteristic
1796C2#2146013211yescharacteristic
1797C2#2146023511yescharacteristic
1798C2#2146040211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2681C2
hypercenter#2681D61
hypocenterC61#36744
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. C2×#16840362C2semidirect
2. C2×#16840352C2semidirect
3. #21454163C2semidirect
4. #21454152C2semidirect
5. #21452713C2semidirect
6. #21452610C2semidirect
7. #21452336C2semidirect
8. #21452158C2semidirect
9. #21452142C2semidirect
10. #21452119C2semidirect
11. #21452112C2semidirect
12. #21452089C2semidirect
13. #21452078C2semidirect
14. #21452066C2semidirect
15. #21452059C2semidirect
16. #21452055C2semidirect
17. #21452035C2semidirect
18. #21452031C2semidirect
19. #21452026C2semidirect
20. #21451954C2semidirect
21. #21451952C2semidirect
22. #21451507C2semidirect
23. #21451445C2semidirect
24. #21451434C2semidirect
25. #21451417C2semidirect
26. #21450757C2semidirect
27. #21450749C2semidirect
28. #21449232C2semidirect
29. #21449207C2semidirect
30. #21448261C2semidirect
31. C61×#2681C2semidirect
38. C2×#14519767C22semidirect
43. C2×#14519762C22semidirect
45. C2×#14519760C22semidirect
48. C2×#14519753C22semidirect
57. C2×#14519750C22semidirect
58. C2×#14519750C22semidirect
59. C2×#14519750C22semidirect
60. C2×#14519750C22semidirect
63. C2×#14519749C22semidirect
64. C2×#14519748C22semidirect
70. C2×C4×C22⋊D61C22semidirect
74. C2×#14519733C22semidirect
76. C2×C42×D61C22semidirect
80. #16839697C22semidirect
81. #16839695C22semidirect
82. #16839695C22semidirect
83. #16839692C22semidirect
87. #16839688C22semidirect
91. #16839681C22semidirect
95. #16839679C22semidirect
98. #16839678C22semidirect
102. #16839677C22semidirect
103. #16839677C22semidirect
106. #16839672C22semidirect
115. #16839671C22semidirect
123. #16839663C22semidirect
128. #16839662C22semidirect
129. #16839662C22semidirect
130. #16839662C22semidirect
131. #16839658C22semidirect
132. #16839657C22semidirect
134. #16839655C22semidirect
137. #16839652C22semidirect
141. #16839651C22semidirect
142. #16839651C22semidirect
143. #16839651C22semidirect
144. #16839650C22semidirect
145. #16839650C22semidirect
146. #16839649C22semidirect
147. #16839646C22semidirect
148. #16839644C22semidirect
149. #16839644C22semidirect
153. #16839640C22semidirect
156. #16839639C22semidirect
159. #16839638C22semidirect
160. #16839637C22semidirect
161. #16839636C22semidirect
163. #16839633C22semidirect
164. #16839633C22semidirect
165. #16839633C22semidirect
166. #16839631C22semidirect
167. #16839621C22semidirect
168. #16839619C22semidirect
170. C4⋊C4×Dic61C22semidirect
172. #16839609C22semidirect
173. #16839607C22semidirect
176. C2×C22⋊Q8×C61C22semidirect
178. C61×#398C22semidirect
179. C61×#396C22semidirect
182. C61×#394C22semidirect
183. C61×#393C22semidirect
184. C61×#390C22semidirect
185. C61×#389C22semidirect
188. C61×#385C22semidirect
257. #14519737D4semidirect
892. #2681D61semidirect
950. C2×C22⋊Q8C2×D61semidirect
987. #398C2×D61semidirect
995. #396C2×D61semidirect
1011. #394C2×D61semidirect
1012. #393C2×D61semidirect
1040. #390C2×D61semidirect
1043. #389C2×D61semidirect
1079. #385C2×D61semidirect
1088. C61#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#168403622
C2×#168403522
#214541632
#214541522
#214527132
#214526102
#214523362
#214521582
#214521422
#214521192
#214521122
#214520892
#214520782
#214520662
#214520592
#214520552
#214520352
#214520312
#214520262
#214519542
#214519522
#214515072
#214514452
#214514342
#214514172
#214507572
#214507492
#214492322
#214492072
#214482612
C61×#26812
#3674461