Finite Group Databasebeta

← #29887402

Subgroups — #29887402

Order 15616.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840344C211yesmaximal, characteristic, complemented
2C2×#16840322C211yesmaximal, characteristic, complemented
3#21454161C211yesmaximal, characteristic, complemented
4#21454117C211yesmaximal, characteristic, complemented
5#21452667C211yesmaximal, characteristic, complemented
6#21452666C211yesmaximal, characteristic, complemented
7#21452568C211yesmaximal, characteristic, complemented
8#21452563C211yesmaximal, characteristic, complemented
9#21452514C211yesmaximal, characteristic, complemented
10#21452511C211yesmaximal, characteristic, complemented
11#21452458C211yesmaximal, characteristic, complemented
12#21452455C211yesmaximal, characteristic, complemented
13#21452209C211yesmaximal, characteristic, complemented
14#21452206C211yesmaximal, characteristic, complemented
15#21452147C211yesmaximal, characteristic, complemented
16#21452144C211yesmaximal, characteristic, complemented
17#21452046C211yesmaximal, characteristic, complemented
18#21452041C211yesmaximal, characteristic, complemented
19#21452032C211yesmaximal, characteristic, complemented
20#21451920C211yesmaximal, characteristic, complemented
21#21451750C211yesmaximal, characteristic, complemented
22#21450778C211yesmaximal, characteristic, complemented
23#21450774C211yesmaximal, characteristic, complemented
24#21449255C211yesmaximal, characteristic, complemented
25#21449252C211yesmaximal, characteristic, complemented
26#21449189C211yesmaximal, characteristic, complemented
27#21449189C211yesmaximal, characteristic, complemented
28#21449186C211yesmaximal, characteristic, complemented
29#21449186C211yesmaximal, characteristic, complemented
30#388×D61C211yesmaximal, characteristic, complemented
31C61×#2669C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34#16840344—28no—
35#16840322—28no—
36C2×#14519772C2211yescharacteristic, complemented
37C2×#14519770C2211yescharacteristic, complemented
38C2×#14519764C2211yescharacteristic, complemented
39C2×#14519763C2211yescharacteristic, complemented
40C2×#14519763C2211yescharacteristic, complemented
41C2×#14519761C2211yescharacteristic
42C2×#14519760C2211yescharacteristic, complemented
43C2×#14519759C2211yescharacteristic
44C2×#14519759C2211yescharacteristic
45C2×#14519758C2211yescharacteristic
46C2×#14519758C2211yescharacteristic, complemented
47C2×#14519755C2211yescharacteristic, complemented
48C2×#14519750C2211yescharacteristic
49C2×#14519750C2211yescharacteristic
50C2×#14519750C2211yescharacteristic, complemented
51C2×#14519750C2211yescharacteristic, complemented
52C2×#14519749C2211yescharacteristic, complemented
53C2×#14519749C2211yescharacteristic, complemented
54C2×#14519748C2211yescharacteristic
55C2×#14519748C2211yescharacteristic
56C2×#14519748C2211yescharacteristic, complemented
57C2×#14519748C2211yescharacteristic, complemented
58C2×#14519748C2211yescharacteristic, complemented
59C2×#14519748C2211yescharacteristic, complemented
60C2×#14519748C2211yescharacteristic, complemented
61C2×#14519748C2211yescharacteristic, complemented
62C2×#14519748C2211yescharacteristic, complemented
63C2×#14519746C2211yescharacteristic
64C2×#14519745C2211yescharacteristic
65C2×#14519745C2211yescharacteristic
66C2×#14519745C2211yescharacteristic
67C2×#14519745C2211yescharacteristic
68C2×#14519745C2211yescharacteristic, complemented
69C2×#14519745C2211yescharacteristic, complemented
70C2×C4×C22⋊D61C2211yescharacteristic, complemented
71C2×#14519737C2211yescharacteristic, complemented
72C2×C4⋊C4×D61C2211yescharacteristic, complemented
73C2×C22⋊C4×D61C2211yescharacteristic
74C2×C22⋊C4×D61C2211yescharacteristic
75C2×C22⋊C4×D61C2211yescharacteristic
76C2×C42×D61C2211yescharacteristic, complemented
77#16839702C2211yescharacteristic, complemented
78#16839701C2211yescharacteristic, complemented
79#16839699C2211yescharacteristic, complemented
80#16839698C2211yescharacteristic, complemented
81#16839698C2211yescharacteristic, complemented
82#16839698C2211yescharacteristic, complemented
83#16839696C2211yescharacteristic, complemented
84#16839694C2211yescharacteristic, complemented
85#16839690C2211yescharacteristic, complemented
86#16839690C2211yescharacteristic, complemented
87#16839690C2211yescharacteristic, complemented
88#16839687C2211yescharacteristic, complemented
89#16839685C2211yescharacteristic, complemented
90#16839685C2211yescharacteristic, complemented
91#16839685C2211yescharacteristic, complemented
92#16839684C2211yescharacteristic, complemented
93#16839678C2211yescharacteristic
94#16839678C2211yescharacteristic
95#16839678C2211yescharacteristic
96#16839678C2211yescharacteristic
97#16839678C2211yescharacteristic
98#16839678C2211yescharacteristic
99#16839678C2211yescharacteristic, complemented
100#16839677C2211yescharacteristic, complemented
101#16839676C2211yescharacteristic
102#16839676C2211yescharacteristic
103#16839676C2211yescharacteristic, complemented
104#16839676C2211yescharacteristic, complemented
105#16839676C2211yescharacteristic, complemented
106#16839676C2211yescharacteristic, complemented
107#16839674C2211yescharacteristic, complemented
108#16839674C2211yescharacteristic, complemented
109#16839670C2211yescharacteristic
110#16839670C2211yescharacteristic
111#16839670C2211yescharacteristic
112#16839670C2211yescharacteristic
113#16839670C2211yescharacteristic
114#16839670C2211yescharacteristic
115#16839670C2211yescharacteristic, complemented
116#16839670C2211yescharacteristic, complemented
117#16839670C2211yescharacteristic, complemented
118#16839670C2211yescharacteristic, complemented
119#16839666C2211yescharacteristic, complemented
120#16839665C2211yescharacteristic, complemented
121#16839665C2211yescharacteristic, complemented
122#16839665C2211yescharacteristic, complemented
123#16839665C2211yescharacteristic, complemented
124#16839665C2211yescharacteristic, complemented
125#16839665C2211yescharacteristic, complemented
126#16839665C2211yescharacteristic, complemented
127#16839662C2211yescharacteristic, complemented
128#16839662C2211yescharacteristic, complemented
129#16839661C2211yescharacteristic, complemented
130#16839659C2211yescharacteristic, complemented
131#16839656C2211yescharacteristic, complemented
132#16839656C2211yescharacteristic, complemented
133#16839655C2211yescharacteristic, complemented
134#16839655C2211yescharacteristic, complemented
135#16839655C2211yescharacteristic, complemented
136#16839654C2211yescharacteristic, complemented
137#16839654C2211yescharacteristic, complemented
138#16839653C2211yescharacteristic, complemented
139#16839653C2211yescharacteristic, complemented
140#16839652C2211yescharacteristic, complemented
141#16839652C2211yescharacteristic, complemented
142#16839651C2211yescharacteristic, complemented
143#16839650C2211yescharacteristic, complemented
144#16839650C2211yescharacteristic, complemented
145#16839642C2211yescharacteristic, complemented
146#16839642C2211yescharacteristic, complemented
147#16839642C2211yescharacteristic, complemented
148#16839642C2211yescharacteristic, complemented
149#16839641C2211yescharacteristic, complemented
150#16839640C2211yescharacteristic, complemented
151#16839640C2211yescharacteristic, complemented
152#16839638C2211yescharacteristic, complemented
153#16839638C2211yescharacteristic, complemented
154#16839638C2211yescharacteristic, complemented
155#16839638C2211yescharacteristic, complemented
156#16839638C2211yescharacteristic, complemented
157#16839638C2211yescharacteristic, complemented
158#16839638C2211yescharacteristic, complemented
159#16839638C2211yescharacteristic, complemented
160#16839637C2211yescharacteristic, complemented
161#16839637C2211yescharacteristic, complemented
162#16839636C2211yescharacteristic, complemented
163#16839636C2211yescharacteristic, complemented
164#16839632C2211yescharacteristic, complemented
165#16839626C2211yescharacteristic, complemented
166#16839622C2211yescharacteristic, complemented
167#16839620C2211yescharacteristic, complemented
168#16839618C2211yescharacteristic, complemented
169#16839618C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173#95×D61C2211yescharacteristic, complemented
174C2×#127×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic, complemented
176C2×#121×C61C2211yescharacteristic, complemented
177C2×#120×C61C2211yescharacteristic
178C2×#120×C61C2211yescharacteristic, complemented
179C2×#120×C61C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#392C2211yescharacteristic
183C61×#392C2211yescharacteristic
184C61×#392C2211yescharacteristic, complemented
185C61×#392C2211yescharacteristic, complemented
186C61×#388C2211yescharacteristic, complemented
187C61×#388C2211yescharacteristic, complemented
188C61×#386C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×C22⋊D61—24no—
194C22×C22⋊D61—42no—
195C22×C22⋊D61—42no—
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
209C22×C22⋊D61C2311yescharacteristic
210C2×D4×D61—24no—
211C2×D4×D61—42no—
212C2×D4×D61—42no—
213C23×Dic61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222#14519772—24no—
223#14519770—24no—
224#14519764—24no—
225#14519763—24no—
226#14519763—42no—
227#14519761—24no—
228#14519760—24no—
229#14519759—24no—
230#14519759—24no—
231#14519758—24no—
232#14519758—24no—
233#14519755—24no—
234#14519750—24no—
235#14519750—24no—
236#14519750—42no—
237#14519750—42no—
238#14519749—24no—
239#14519749—42no—
240#14519748—24no—
241#14519748—24no—
242#14519748—24no—
243#14519748—42no—
244#14519748—42no—
245#14519748—42no—
246#14519748—42no—
247#14519748—42no—
248#14519748—42no—
249#14519746—24no—
250#14519745—24no—
251#14519745—24no—
252#14519745—24no—
253#14519745—24no—
254#14519745—42no—
255#14519745—42no—
256C4×C22⋊D61—24no—
257#14519737—24no—
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×C4⋊Dic61C2311yescharacteristic
267C2×C4⋊Dic61C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C4⋊C4×D61—42no—
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×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
295C2×C22⋊Dic61C2311yescharacteristic
296C2×C22⋊Dic61C2311yescharacteristic
297C2×C22⋊Dic61C2311yescharacteristic
298C2×C22⋊Dic61C2311yescharacteristic
299C2×C22⋊Dic61C2311yescharacteristic
300C2×C22⋊Dic61C2311yescharacteristic
301C2×C22⋊Dic61C2311yescharacteristic
302C2×C22⋊Dic61C2311yescharacteristic
303C2×C22⋊Dic61C2311yescharacteristic
304C2×C22⋊Dic61C2311yescharacteristic
305C2×C22⋊Dic61C2311yescharacteristic
306C2×C22⋊Dic61C2311yescharacteristic
307C2×C22⋊Dic61C2311yescharacteristic
308C2×C22⋊Dic61C2311yescharacteristic
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×#11758198C2311yescharacteristic
326C2×#11758198C2311yescharacteristic
327C22⋊C4×D61—42no—
328C22⋊C4×D61—42no—
329C22⋊C4×D61D418yescomplemented
330C2×C4×Dic61C2311yescharacteristic
331C2×C4×Dic61C2311yescharacteristic
332C2×C4×Dic61C2311yescharacteristic
333C2×C4×Dic61C2311yescharacteristic
334C2×C4×Dic61C2311yescharacteristic
335C42×D61—42no—
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
354#14519684C2311yescharacteristic
355#14519684C2311yescharacteristic
356C25×C61C2311yescharacteristic
357C22×D4×C61C2311yescharacteristic
358C22×D4×C61C2311yescharacteristic
359C22×D4×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C22×D4×C61C2311yescharacteristic
364C22×D4×C61C2311yescharacteristic
365C22×D4×C61C2311yescharacteristic
366C22×D4×C61C2311yescharacteristic
367C22×D4×C61C2311yescharacteristic
368C22×D4×C61C2311yescharacteristic
369C23×C4×C61C2311yescharacteristic
370#127×C61—42no—
371#121×C61—24no—
372#121×C61—42no—
373#120×C61—24no—
374#120×C61—42no—
375#120×C61—42no—
376C2×C4⋊C4×C61C2311yescharacteristic
377C2×C4⋊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×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389C2×C22⋊C4×C61C2311yescharacteristic
390C2×C22⋊C4×C61C2311yescharacteristic
391C2×C22⋊C4×C61C2311yescharacteristic
392C2×C42×C61C2311yescharacteristic
393#95×C61C2311yescharacteristic
394#95×C61C2311yescharacteristic
395#95×C61C2311yescharacteristic
396#95×C61C2311yescharacteristic
397C24×C61—22no—
398C24×C61—41no—
399C24×C61—41no—
400C24×C61—41no—
401C24×C61—41no—
402C24×C61—41no—
403C24×C61—41no—
404C24×C61C2411yescharacteristic
405C24×C61C2411yescharacteristic
406C24×C61C2411yescharacteristic
407C24×C61C2411yescharacteristic
408C24×C61C2411yescharacteristic
409C24×C61C2411yescharacteristic
410C23×D61—22no—
411C23×D61—22no—
412C23×D61—22no—
413C23×D61—41no—
414C23×D61—41no—
415C23×D61—41no—
416C23×D61—41no—
417C23×D61—41no—
418C23×D61—41no—
419C23×D61—41no—
420C23×D61—41no—
421C23×D61—41no—
422C23×D61—41no—
423C23×D61C2×D414yes—
424C23×D61C2411yescharacteristic
425C23×D61C2411yescharacteristic
426C23×D61C2411yescharacteristic
427C2×D4×C61—22no—
428C2×D4×C61—22no—
429C2×D4×C61—22no—
430C2×D4×C61—22no—
431C2×D4×C61—22no—
432C2×D4×C61—22no—
433C2×D4×C61—22no—
434C2×D4×C61—22no—
435C2×D4×C61—22no—
436C2×D4×C61—22no—
437C2×D4×C61—41no—
438C2×D4×C61—41no—
439C2×D4×C61—41no—
440C2×D4×C61—41no—
441C2×D4×C61—41no—
442C2×D4×C61—41no—
443C2×D4×C61—41no—
444C2×D4×C61—41no—
445C2×D4×C61—41no—
446C2×D4×C61—41no—
447C2×D4×C61—41no—
448C2×D4×C61—41no—
449C2×D4×C61—41no—
450C2×D4×C61—41no—
451C2×D4×C61—41no—
452C2×D4×C61—41no—
453C2×D4×C61—41no—
454C2×D4×C61—41no—
455C2×D4×C61—41no—
456C2×D4×C61—41no—
457C2×D4×C61—41no—
458C2×D4×C61—41no—
459C2×D4×C61—41no—
460C2×D4×C61—41no—
461C2×D4×C61—41no—
462C2×D4×C61—41no—
463C22×C4×C61—22no—
464C22×C4×C61—41no—
465C22×C4×C61—41no—
466C22×C4×C61C2411yescharacteristic
467C22×C4×C61C2411yescharacteristic
468C22×C4×C61C2411yescharacteristic
469C22×C4×C61C2411yescharacteristic
470C22×C4×C61C2411yescharacteristic
471C22×C4×C61C2411yescharacteristic
472C22×C4×C61C2411yescharacteristic
473C22×C4×C61C2411yescharacteristic
474C22×C4×C61C2411yescharacteristic
475C2×C22⋊D61—22no—
476C2×C22⋊D61—22no—
477C2×C22⋊D61—22no—
478C2×C22⋊D61—22no—
479C2×C22⋊D61—22no—
480C2×C22⋊D61—22no—
481C2×C22⋊D61—22no—
482C2×C22⋊D61—22no—
483C2×C22⋊D61—22no—
484C2×C22⋊D61—22no—
485C2×C22⋊D61—22no—
486C2×C22⋊D61—22no—
487C2×C22⋊D61—22no—
488C2×C22⋊D61—22no—
489C2×C22⋊D61—22no—
490C2×C22⋊D61—22no—
491C2×C22⋊D61—22no—
492C2×C22⋊D61—22no—
493C2×C22⋊D61—22no—
494C2×C22⋊D61—22no—
495C2×C22⋊D61—22no—
496C2×C22⋊D61—22no—
497C2×C22⋊D61—41no—
498C2×C22⋊D61—41no—
499C2×C22⋊D61—41no—
500C2×C22⋊D61—41no—
501C2×C22⋊D61—41no—
502C2×C22⋊D61—41no—
503C2×C22⋊D61—41no—
504C2×C22⋊D61—41no—
505C2×C22⋊D61—41no—
506C2×C22⋊D61—41no—
507C2×C22⋊D61—41no—
508C2×C22⋊D61—41no—
509C2×C22⋊D61—41no—
510C2×C22⋊D61—41no—
511C2×C22⋊D61—41no—
512C2×C22⋊D61—41no—
513C2×C22⋊D61—41no—
514C2×C22⋊D61—41no—
515C2×C22⋊D61—41no—
516C2×C22⋊D61—41no—
517C2×C22⋊D61—416no—
518C22×Dic61—22no—
519C22×Dic61—22no—
520C22×Dic61—41no—
521C22×Dic61—41no—
522C22×Dic61—41no—
523C22×Dic61—41no—
524C22×Dic61C2411yescharacteristic
525C22×Dic61C2411yescharacteristic
526C22×Dic61C2411yescharacteristic
527C22×Dic61C2411yescharacteristic
528C22×Dic61C2411yescharacteristic
529C22×Dic61C2411yescharacteristic
530C22×Dic61C2411yescharacteristic
531C22×Dic61C2411yescharacteristic
532C22×Dic61C2411yescharacteristic
533C22×Dic61C2411yescharacteristic
534C22×Dic61C2411yescharacteristic
535C22×Dic61C2411yescharacteristic
536C22×Dic61C2411yescharacteristic
537D4×D61—416no—
538C2×D244—22no—
539C2×D244—22no—
540C2×D244—22no—
541C2×C4×D61—22no—
542C2×C4×D61—22no—
543C2×C4×D61—22no—
544C2×C4×D61—22no—
545C2×C4×D61—22no—
546C2×C4×D61—22no—
547C2×C4×D61—22no—
548C2×C4×D61—41no—
549C2×C4×D61—41no—
550C2×C4×D61—41no—
551C2×C4×D61—41no—
552C2×C4×D61—41no—
553C2×C4×D61—41no—
554C2×C4×D61—41no—
555C2×C4×D61—41no—
556C2×C4×D61—41no—
557C2×C4×D61—41no—
558C2×C4×D61—41no—
559C2×C4×D61—41no—
560C2×C4×D61C2×D414yes—
561C2×C4×D61C2×D414yes—
562C2×Dic122—22no—
563C2×Dic122—41no—
564C2×Dic122—41no—
565C4⋊C4×C61—22no—
566C4⋊C4×C61—22no—
567C22⋊C4×C61—22no—
568C22⋊C4×C61—22no—
569C22⋊C4×C61—22no—
570C22⋊C4×C61—22no—
571C22⋊C4×C61—22no—
572C22⋊C4×C61—22no—
573C22⋊C4×C61—22no—
574C22⋊C4×C61—41no—
575C22⋊C4×C61—41no—
576C22⋊C4×C61—41no—
577C22⋊C4×C61—41no—
578C22⋊C4×C61—41no—
579C22⋊C4×C61—41no—
580C22⋊C4×C61C2×D414yes—
581C42×C61—22no—
582C22⋊Dic61—22no—
583C22⋊Dic61—22no—
584C22⋊Dic61—22no—
585C22⋊Dic61—22no—
586C22⋊Dic61—22no—
587C22⋊Dic61—22no—
588C22⋊Dic61—22no—
589C22⋊Dic61—22no—
590C22⋊Dic61—22no—
591C22⋊Dic61—41no—
592C22⋊Dic61—41no—
593C22⋊Dic61—41no—
594C22⋊Dic61—41no—
595C22⋊Dic61—41no—
596C22⋊Dic61—41no—
597C22⋊Dic61—41no—
598C22⋊Dic61—41no—
599C22⋊Dic61—41no—
600C22⋊Dic61—41no—
601C22⋊Dic61—41no—
602C22⋊Dic61—41no—
603C22⋊Dic61—41no—
604C22⋊Dic61—41no—
605C22⋊Dic61—41no—
606C22⋊Dic61—41no—
607C22⋊Dic61—41no—
608C22⋊Dic61—41no—
609C22⋊Dic61—41no—
610C22⋊Dic61—41no—
611C22⋊Dic61C2×D414yes—
612#11758198—22no—
613#11758198—22no—
614#11758198—22no—
615#11758198—22no—
616#11758198—22no—
617#11758198—22no—
618#11758198—22no—
619#11758198—22no—
620#11758198—22no—
621#11758198—22no—
622#11758198—41no—
623#11758198—41no—
624#11758198—41no—
625#11758198—41no—
626#11758198—41no—
627#11758198—41no—
628#11758198C2×D414yes—
629#11758198C2×D414yes—
630C4⋊Dic61—22no—
631C4⋊Dic61—22no—
632C4⋊Dic61—22no—
633C4⋊Dic61—41no—
634C4⋊Dic61—41no—
635C4⋊Dic61—41no—
636C4⋊Dic61—41no—
637C4⋊Dic61—41no—
638C4⋊Dic61—41no—
639C4⋊Dic61—41no—
640#11758196—22no—
641#11758196—22no—
642#11758196—22no—
643#11758196—22no—
644#11758196—22no—
645#11758196—22no—
646#11758196—22no—
647#11758196—41no—
648#11758196—41no—
649#11758196—41no—
650C4×Dic61—22no—
651C4×Dic61—22no—
652C4×Dic61—22no—
653C4×Dic61—41no—
654C4×Dic61—41no—
655C23×C61—21no—
656C23×C61—21no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61—21no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61—21no—
668C23×C61—21no—
669C23×C61—21no—
670C23×C61—21no—
671C23×C61—21no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—21no—
679C23×C61—21no—
680C23×C61—21no—
681C23×C61—21no—
682C23×C61—21no—
683C23×C61—21no—
684C23×C61—21no—
685C23×C61—21no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61—21no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—21no—
692C23×C61—21no—
693C23×C61—21no—
694C23×C61—21no—
695C23×C61—21no—
696C23×C61—44no—
697C23×C61—82no—
698C23×C61—82no—
699C23×C61—82no—
700C23×C61—82no—
701C23×C61—82no—
702C23×C61—82no—
703C23×C61C22×D412yes—
704C23×C61C2511yescharacteristic
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—28no—
716C22×D61—21no—
717C22×D61—21no—
718C22×D61—21no—
719C22×D61—21no—
720C22×D61—21no—
721C22×D61—21no—
722C22×D61—21no—
723C22×D61—44no—
724C22×D61—44no—
725C22×D61—44no—
726C22×D61—82no—
727C22×D61—82no—
728C22×D61—82no—
729C22×D61—82no—
730C22×D61—82no—
731C22×D61—82no—
732C22×D61—82no—
733C22×D61—82no—
734C22×D61—82no—
735C22×D61—82no—
736C22×D61C22×D412yes—
737C22×D61C22×D412yes—
738C22×D61H(5,𝔽2)12yes—
739C22×D61H(5,𝔽2)12yes—
740D4×C61—44no—
741D4×C61—82no—
742D4×C61—82no—
743D4×C61—82no—
744D4×C61—82no—
745D4×C61—82no—
746D4×C61—82no—
747D4×C61—82no—
748D4×C61—82no—
749D4×C61—82no—
750D4×C61—82no—
751D4×C61—82no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—82no—
776C2×C4×C61C22×D412yes—
777C2×C4×C61C22×D412yes—
778C2×C4×C61H(5,𝔽2)12yes—
779C2×C4×C61H(5,𝔽2)12yes—
780C22⋊D61—44no—
781C22⋊D61—44no—
782C22⋊D61—44no—
783C22⋊D61—44no—
784C22⋊D61—44no—
785C22⋊D61—44no—
786C22⋊D61—44no—
787C22⋊D61—44no—
788C22⋊D61—82no—
789C22⋊D61—82no—
790C22⋊D61—82no—
791C22⋊D61—82no—
792C22⋊D61—82no—
793C22⋊D61—82no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—21no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—21no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—21no—
820C2×Dic61—21no—
821C2×Dic61—21no—
822C2×Dic61—21no—
823C2×Dic61—21no—
824C2×Dic61—21no—
825C2×Dic61—21no—
826C2×Dic61—21no—
827C2×Dic61—21no—
828C2×Dic61—21no—
829C2×Dic61—21no—
830C2×Dic61—21no—
831C2×Dic61—44no—
832C2×Dic61—82no—
833C2×Dic61C22×D412yes—
834C2×Dic61C22×D412yes—
835D244—44no—
836C4×D61—44no—
837C4×D61—44no—
838C4×D61—44no—
839C4×D61—44no—
840C4×D61—44no—
841C4×D61—82no—
842C4×D61—82no—
843Dic122—82no—
844#36739—611nomaximal, Sylow
845C22×C61—22no—
846C22×C61—22no—
847C22×C61—22no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—41no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61—41no—
854C22×C61—41no—
855C22×C61—41no—
856C22×C61—41no—
857C22×C61—41no—
858C22×C61—41no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61—41no—
868C22×C61—41no—
869C22×C61—41no—
870C22×C61—41no—
871C22×C61—41no—
872C22×C61—41no—
873C22×C61—41no—
874C22×C61—41no—
875C22×C61—41no—
876C22×C61—41no—
877C22×C61—41no—
878C22×C61—41no—
879C22×C61—41no—
880C22×C61—41no—
881C22×C61—41no—
882C22×C61—41no—
883C22×C61—41no—
884C22×C61—41no—
885C22×C61—41no—
886C22×C61—41no—
887C22×C61—88no—
888C22×C61C23×D411yescharacteristic
889C22×C61C2×H(5,𝔽2)11yescharacteristic
890C22×C61C2×H(5,𝔽2)11yescharacteristic
891C22×C61C2×H(5,𝔽2)11yescharacteristic
892C22×C61C2×H(5,𝔽2)11yescharacteristic
893C22×C61#58511yescharacteristic
894C22×C61#58511yescharacteristic
895C2×D61—22no—
896C2×D61—22no—
897C2×D61—22no—
898C2×D61—22no—
899C2×D61—22no—
900C2×D61—22no—
901C2×D61—22no—
902C2×D61—22no—
903C2×D61—22no—
904C2×D61—41no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—41no—
912C2×D61—41no—
913C2×D61—41no—
914C2×D61—41no—
915C2×D61—88no—
916C2×D61—88no—
917C2×D61#53514yes—
918C4×C61—22no—
919C4×C61—22no—
920C4×C61—22no—
921C4×C61—22no—
922C4×C61—41no—
923C4×C61—41no—
924C4×C61—41no—
925C4×C61—41no—
926C4×C61—41no—
927Dic61—22no—
928Dic61—22no—
929Dic61—41no—
930Dic61—41no—
931Dic61—41no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935Dic61—41no—
936Dic61—41no—
937Dic61—41no—
938Dic61—41no—
939Dic61—41no—
940C2×#538—611no—
941C2×#534—611no—
942#2856—611no—
943#2850—611no—
944#2718—611no—
945#2718—611no—
946#2710—611no—
947#2710—611no—
948#2706—611no—
949#2706—611no—
950#2703—611no—
951#2703—611no—
952#2685—611no—
953#2685—611no—
954#2678—611no—
955#2678—611no—
956#2670—611no—
957#2670—611no—
958#2669—611no—
959#2669D6111yescharacteristic, complemented
960#2656—611no—
961#2639—611no—
962#2543—611no—
963#2543—611no—
964#2416—611no—
965#2416—611no—
966#2410—611no—
967#2410—611no—
968#2410—611no—
969#2410—611no—
970C2×#388—611no—
971C2×C61—42no—
972C2×C61—81no—
973C2×C61—81no—
974C2×C61—81no—
975C2×C61—81no—
976C2×C61—81no—
977C2×C61C2×#53511yescharacteristic
978C2×C61#349611yescharacteristic
979C2×C61#349611yescharacteristic
980C2×C61#353411yescharacteristic
981C2×C61#353711yescharacteristic
982C2×C61#355811yescharacteristic
983C2×C61#356011yescharacteristic
984D61—24no—
985D61—42no—
986D61—81no—
987C23×D4—611no—
988C23×D4—611no—
989#538—1228no—
990#534—1228no—
991C2×#127C2×D6111yescharacteristic, complemented
992C2×#126—611no—
993C2×#126—611no—
994C2×#124—611no—
995C2×#124—611no—
996C2×#124—611no—
997C2×#123—611no—
998C2×#123—611no—
999C2×#123—611no—
1000C2×#123—611no—
1001C2×#123—611no—
1002C2×#123—611no—
1003C2×C22⋊Q8—611no—
1004C2×#121—611no—
1005C2×#121—611no—
1006C2×#121—611no—
1007C2×#121—611no—
1008C2×#121—611no—
1009C2×#121—611no—
1010C2×#121—611no—
1011C2×#121—611no—
1012C2×#121—611no—
1013C2×#121—611no—
1014C2×#121—611no—
1015C2×#121—611no—
1016C2×#121—611no—
1017C2×#121—611no—
1018C2×#121—611no—
1019C2×#121C2×D6111yescharacteristic, complemented
1020C2×#121C2×D6111yescharacteristic, complemented
1021C2×#120—611no—
1022C2×#120—611no—
1023C2×#120—611no—
1024C2×#120—611no—
1025C2×#120—611no—
1026C2×#120—611no—
1027C2×#120—611no—
1028C2×#120C2×D6111yescharacteristic
1029C2×#120C2×D6111yescharacteristic, complemented
1030C2×#120C2×D6111yescharacteristic, complemented
1031C2×C4×D4—611no—
1032C2×C4×D4—611no—
1033C22×C4⋊C4—611no—
1034C22×C22⋊C4—611no—
1035C22×C22⋊C4—611no—
1036C22×C22⋊C4—611no—
1037C22×C42—611no—
1038#400—611no—
1039#400—611no—
1040#399—611no—
1041#399—611no—
1042#399—611no—
1043#399—611no—
1044#398—611no—
1045#398—611no—
1046#397—611no—
1047#397—611no—
1048#397—611no—
1049#397—611no—
1050#396—611no—
1051#396—611no—
1052#396—611no—
1053#396—611no—
1054#394—611no—
1055#394—611no—
1056#394—611no—
1057#394—611no—
1058#394—611no—
1059#394—611no—
1060#394—611no—
1061#394—611no—
1062#394—611no—
1063#394—611no—
1064#394—611no—
1065#394—611no—
1066#394—611no—
1067#394—611no—
1068#394C2×D6111yescharacteristic, complemented
1069#394C2×D6111yescharacteristic, complemented
1070#393—611no—
1071#393—611no—
1072#392—611no—
1073#392—611no—
1074#392—611no—
1075#392—611no—
1076#392—611no—
1077#392—611no—
1078#392—611no—
1079#392—611no—
1080#392—611no—
1081#392—611no—
1082#392C2×D6111yescharacteristic
1083#392C2×D6111yescharacteristic
1084#392C2×D6111yescharacteristic, complemented
1085#392C2×D6111yescharacteristic, complemented
1086#391—611no—
1087#390—611no—
1088#390—611no—
1089#390—611no—
1090#390—611no—
1091#390—611no—
1092#390—611no—
1093#390—611no—
1094#390—611no—
1095#390—611no—
1096#389—611no—
1097#389—611no—
1098#388—611no—
1099#388—611no—
1100#388—611no—
1101#388—611no—
1102#388—611no—
1103#388—611no—
1104#388—611no—
1105#388—611no—
1106#388—611no—
1107#388—611no—
1108#388—611no—
1109#388—611no—
1110#388—611no—
1111#388—611no—
1112#388C2×D6111yescharacteristic, complemented
1113#388C2×D6111yescharacteristic, complemented
1114#386—611no—
1115#386—611no—
1116#386—611no—
1117#386—611no—
1118#386—611no—
1119#386—611no—
1120#386—611no—
1121#386—611no—
1122#386—611no—
1123#386—611no—
1124#386—611no—
1125#386—611no—
1126#386—611no—
1127#386—611no—
1128#386—611no—
1129#386C2×D6111yescharacteristic, complemented
1130#385—611no—
1131#385—611no—
1132#385—611no—
1133#385—611no—
1134#384—611no—
1135#382—611no—
1136#380—611no—
1137#380—611no—
1138#379—611no—
1139#379—611no—
1140#379—611no—
1141#379—611no—
1142C2×#95—611no—
1143C2×#95—611no—
1144C61#3673911yescharacteristic, complemented, Sylow
1145C25—611no—
1146C25—611no—
1147C25C22×D6111yescharacteristic
1148C22×Q8—611no—
1149C22×D4—611no—
1150C22×D4—611no—
1151C22×D4—611no—
1152C22×D4—611no—
1153C22×D4—611no—
1154C22×D4—611no—
1155C22×D4—611no—
1156C22×D4—611no—
1157C22×D4—611no—
1158C22×D4—611no—
1159C22×D4—611no—
1160C22×D4—611no—
1161C22×D4—611no—
1162C22×D4—611no—
1163C22×D4—611no—
1164C22×D4—1224no—
1165C22×D4—1224no—
1166C22×D4—2442no—
1167C22×D4—2442no—
1168C22×D4—2442no—
1169C22×D4—2442no—
1170C22×D4C22×D6111yescharacteristic
1171C22×D4C22×D6111yescharacteristic
1172C22×D4C22×D6111yescharacteristic
1173C22×D4C22×D6111yescharacteristic
1174C22×D4C22×D6111yescharacteristic
1175C22×D4C22×D6111yescharacteristic
1176C22×D4C22×D6111yescharacteristic
1177C22×D4C22×D6111yescharacteristic
1178C22×D4C22×D6111yescharacteristic
1179C22×D4C22×D6111yescharacteristic
1180C22×D4C22×D6111yescharacteristic
1181C22×D4C22×D6111yescharacteristic
1182C23×C4—611no—
1183C23×C4—611no—
1184C23×C4—611no—
1185C23×C4—611no—
1186C23×C4—611no—
1187C23×C4—611no—
1188C23×C4—611no—
1189C23×C4—611no—
1190C23×C4—611no—
1191C23×C4C22×D6111yescharacteristic
1192#127—42no—
1193#126—1224no—
1194#126—1224no—
1195#124—1224no—
1196#124—1224no—
1197#124—2442no—
1198#123—1224no—
1199#123—1224no—
1200#123—1224no—
1201#123—1224no—
1202#123—1224no—
1203#123—1224no—
1204C22⋊Q8—1224no—
1205#121—24no—
1206#121—42no—
1207#121—1224no—
1208#121—1224no—
1209#121—1224no—
1210#121—1224no—
1211#121—1224no—
1212#121—1224no—
1213#121—2442no—
1214#121—2442no—
1215#121—2442no—
1216#121—2442no—
1217#121—2442no—
1218#121—2442no—
1219#121—2442no—
1220#121—2442no—
1221#121—2442no—
1222#120—24no—
1223#120—42no—
1224#120—42no—
1225#120—1224no—
1226#120—1224no—
1227#120—1224no—
1228#120—1224no—
1229#120—1224no—
1230#120—2442no—
1231#120—2442no—
1232C4×D4—1224no—
1233C4×D4—1224no—
1234C2×C4⋊C4—611no—
1235C2×C4⋊C4—611no—
1236C2×C4⋊C4—611no—
1237C2×C4⋊C4—611no—
1238C2×C4⋊C4—611no—
1239C2×C4⋊C4—611no—
1240C2×C4⋊C4—611no—
1241C2×C4⋊C4—611no—
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—611no—
1244C2×C4⋊C4—611no—
1245C2×C4⋊C4—611no—
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—611no—
1250C2×C4⋊C4—611no—
1251C2×C4⋊C4—611no—
1252C2×C4⋊C4—611no—
1253C2×C4⋊C4—611no—
1254C2×C4⋊C4—2442no—
1255C2×C4⋊C4C22×D6111yescharacteristic
1256C2×C4⋊C4C22×D6111yescharacteristic
1257C2×C22⋊C4—611no—
1258C2×C22⋊C4—611no—
1259C2×C22⋊C4—611no—
1260C2×C22⋊C4—618no—
1261C2×C22⋊C4—611no—
1262C2×C22⋊C4—611no—
1263C2×C22⋊C4—611no—
1264C2×C22⋊C4—611no—
1265C2×C22⋊C4—611no—
1266C2×C22⋊C4—611no—
1267C2×C22⋊C4—611no—
1268C2×C22⋊C4—611no—
1269C2×C22⋊C4—611no—
1270C2×C22⋊C4—611no—
1271C2×C22⋊C4—611no—
1272C2×C22⋊C4—611no—
1273C2×C22⋊C4—611no—
1274C2×C22⋊C4—611no—
1275C2×C22⋊C4—611no—
1276C2×C22⋊C4—611no—
1277C2×C22⋊C4—611no—
1278C2×C22⋊C4—611no—
1279C2×C22⋊C4—611no—
1280C2×C22⋊C4—611no—
1281C2×C22⋊C4—611no—
1282C2×C22⋊C4—611no—
1283C2×C22⋊C4—611no—
1284C2×C22⋊C4—611no—
1285C2×C22⋊C4—611no—
1286C2×C22⋊C4—611no—
1287C2×C22⋊C4—611no—
1288C2×C22⋊C4—611no—
1289C2×C22⋊C4—611no—
1290C2×C22⋊C4—611no—
1291C2×C22⋊C4—611no—
1292C2×C22⋊C4—611no—
1293C2×C22⋊C4—611no—
1294C2×C22⋊C4—611no—
1295C2×C22⋊C4—611no—
1296C2×C22⋊C4—611no—
1297C2×C22⋊C4—611no—
1298C2×C22⋊C4—611no—
1299C2×C22⋊C4—611no—
1300C2×C22⋊C4—611no—
1301C2×C22⋊C4—611no—
1302C2×C22⋊C4—611no—
1303C2×C22⋊C4—611no—
1304C2×C22⋊C4—611no—
1305C2×C22⋊C4—611no—
1306C2×C22⋊C4—2442no—
1307C2×C22⋊C4—2442no—
1308C2×C22⋊C4C22×D6111yescharacteristic
1309C2×C22⋊C4C22×D6111yescharacteristic
1310C2×C22⋊C4C22×D6111yescharacteristic
1311C2×C22⋊C4C22×D6111yescharacteristic
1312C2×C22⋊C4C22×D6111yescharacteristic
1313C2×C22⋊C4C22×D6111yescharacteristic
1314C2×C22⋊C4C22×D6111yescharacteristic
1315C2×C22⋊C4C22×D6111yescharacteristic
1316C2×C22⋊C4C22×D6111yescharacteristic
1317C2×C22⋊C4C22×D6111yescharacteristic
1318C2×C22⋊C4C22×D6111yescharacteristic
1319C2×C22⋊C4C22×D6111yescharacteristic
1320C2×C22⋊C4C22×D6111yescharacteristic
1321C2×C22⋊C4C22×D6111yescharacteristic
1322C2×C42—611no—
1323C2×C42—611no—
1324C2×C42—611no—
1325C2×C42—611no—
1326C2×C42—611no—
1327C2×C42—2442no—
1328C2×C42C22×D6111yescharacteristic
1329#95—611no—
1330#95—611no—
1331#95—611no—
1332#95—611no—
1333#95—611no—
1334#95—611no—
1335#95—611no—
1336#95—611no—
1337#95—611no—
1338#95—611no—
1339#95—611no—
1340#95—611no—
1341#95—611no—
1342#95—611no—
1343#95—611no—
1344#95—611no—
1345#95—611no—
1346#95—611no—
1347#95—611no—
1348#95—611no—
1349#95C22×D6111yescharacteristic
1350#95C22×D6111yescharacteristic
1351#95C22×D6111yescharacteristic
1352#95C22×D6111yescharacteristic
1353C24—22no—
1354C24—41no—
1355C24—41no—
1356C24—41no—
1357C24—41no—
1358C24—41no—
1359C24—41no—
1360C24—611no—
1361C24—611no—
1362C24—614no—
1363C24—611no—
1364C24—1222no—
1365C24—1222no—
1366C24—1222no—
1367C24—2441no—
1368C24—2441no—
1369C24—2441no—
1370C24—2441no—
1371C24—2441no—
1372C24—2441no—
1373C24—2441no—
1374C24—2441no—
1375C24—2441no—
1376C24—2441no—
1377C24C23×D6111yescharacteristic
1378C24C23×D6111yescharacteristic
1379C24C23×D6111yescharacteristic
1380C24C23×D6111yescharacteristic
1381C24C23×D6111yescharacteristic
1382C24C23×D6111yescharacteristic
1383C2×Q8—1222no—
1384C2×Q8—2441no—
1385C2×Q8—2441no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—1222no—
1423C2×D4—1222no—
1424C2×D4—1222no—
1425C2×D4—1222no—
1426C2×D4—1222no—
1427C2×D4—1222no—
1428C2×D4—1222no—
1429C2×D4—1222no—
1430C2×D4—1222no—
1431C2×D4—1222no—
1432C2×D4—1222no—
1433C2×D4—1222no—
1434C2×D4—1222no—
1435C2×D4—1222no—
1436C2×D4—1222no—
1437C2×D4—1222no—
1438C2×D4—1222no—
1439C2×D4—1222no—
1440C2×D4—1222no—
1441C2×D4—1222no—
1442C2×D4—1222no—
1443C2×D4—1222no—
1444C2×D4—1222no—
1445C2×D4—1222no—
1446C2×D4—1222no—
1447C2×D4—2441no—
1448C2×D4—2441no—
1449C2×D4—2441no—
1450C2×D4—2441no—
1451C2×D4—2441no—
1452C2×D4—2441no—
1453C2×D4—2441no—
1454C2×D4—2441no—
1455C2×D4—2441no—
1456C2×D4—2441no—
1457C2×D4—2441no—
1458C2×D4—2441no—
1459C2×D4—2441no—
1460C2×D4—2441no—
1461C2×D4—2441no—
1462C2×D4—2441no—
1463C2×D4—2441no—
1464C2×D4—2441no—
1465C2×D4—2441no—
1466C2×D4—2441no—
1467C2×D4—24416no—
1468C2×D4—24416no—
1469C22×C4—22no—
1470C22×C4—41no—
1471C22×C4—41no—
1472C22×C4—611no—
1473C22×C4—611no—
1474C22×C4—614no—
1475C22×C4—614no—
1476C22×C4—611no—
1477C22×C4—611no—
1478C22×C4—611no—
1479C22×C4—611no—
1480C22×C4—611no—
1481C22×C4—611no—
1482C22×C4—611no—
1483C22×C4—611no—
1484C22×C4—611no—
1485C22×C4—611no—
1486C22×C4—611no—
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—2441no—
1497C22×C4—2441no—
1498C22×C4—2441no—
1499C22×C4—2441no—
1500C22×C4—2441no—
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×C4C23×D6111yescharacteristic
1513C22×C4C23×D6111yescharacteristic
1514C22×C4C23×D6111yescharacteristic
1515C22×C4C23×D6111yescharacteristic
1516C22×C4C23×D6111yescharacteristic
1517C22×C4C23×D6111yescharacteristic
1518C22×C4C23×D6111yescharacteristic
1519C22×C4C23×D6111yescharacteristic
1520C22×C4C23×D6111yescharacteristic
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—1222no—
1524C4⋊C4—1222no—
1525C4⋊C4—1222no—
1526C4⋊C4—1222no—
1527C4⋊C4—1222no—
1528C4⋊C4—1222no—
1529C4⋊C4—1222no—
1530C4⋊C4—1222no—
1531C4⋊C4—1222no—
1532C4⋊C4—1222no—
1533C4⋊C4—2441no—
1534C4⋊C4—2441no—
1535C4⋊C4—2441no—
1536C4⋊C4—2441no—
1537C4⋊C4—2441no—
1538C4⋊C4—2441no—
1539C4⋊C4—2441no—
1540C4⋊C4—2441no—
1541C4⋊C4—2441no—
1542C4⋊C4—2441no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—22no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—614no—
1557C22⋊C4—614no—
1558C22⋊C4—614no—
1559C22⋊C4—1222no—
1560C22⋊C4—1222no—
1561C22⋊C4—1222no—
1562C22⋊C4—1222no—
1563C22⋊C4—1222no—
1564C22⋊C4—1222no—
1565C22⋊C4—1222no—
1566C22⋊C4—1222no—
1567C22⋊C4—1222no—
1568C22⋊C4—1222no—
1569C22⋊C4—1222no—
1570C22⋊C4—1222no—
1571C22⋊C4—1222no—
1572C22⋊C4—1222no—
1573C22⋊C4—1222no—
1574C22⋊C4—1222no—
1575C22⋊C4—1222no—
1576C22⋊C4—1222no—
1577C22⋊C4—1222no—
1578C22⋊C4—2441no—
1579C22⋊C4—2441no—
1580C22⋊C4—2441no—
1581C22⋊C4—2441no—
1582C22⋊C4—2441no—
1583C22⋊C4—2441no—
1584C22⋊C4—2441no—
1585C22⋊C4—2441no—
1586C22⋊C4—2441no—
1587C22⋊C4—2441no—
1588C22⋊C4—2441no—
1589C22⋊C4—2441no—
1590C22⋊C4—2441no—
1591C22⋊C4—2441no—
1592C22⋊C4—2441no—
1593C22⋊C4—2441no—
1594C22⋊C4—2441no—
1595C22⋊C4—2441no—
1596C22⋊C4—2441no—
1597C22⋊C4—2441no—
1598C22⋊C4—2441no—
1599C22⋊C4—2441no—
1600C22⋊C4—2441no—
1601C22⋊C4—2441no—
1602C22⋊C4—2441no—
1603C22⋊C4—2441no—
1604C22⋊C4D4×D6114yes—
1605C42—22no—
1606C42—1222no—
1607C42—1222no—
1608C42—1222no—
1609C42—2441no—
1610C42—2441no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—44no—
1653C23—82no—
1654C23—82no—
1655C23—82no—
1656C23—82no—
1657C23—82no—
1658C23—82no—
1659C23—612no—
1660C23—612no—
1661C23—612no—
1662C23—612no—
1663C23—1228no—
1664C23—1221no—
1665C23—1221no—
1666C23—1221no—
1667C23—1221no—
1668C23—1221no—
1669C23—1221no—
1670C23—1221no—
1671C23—1221no—
1672C23—1221no—
1673C23—1221no—
1674C23—1221no—
1675C23—1221no—
1676C23—1221no—
1677C23—1221no—
1678C23—1221no—
1679C23—1221no—
1680C23—1221no—
1681C23—4882no—
1682C23—4882no—
1683C23—4882no—
1684C23—4882no—
1685C23—4882no—
1686C23—4882no—
1687C23—4882no—
1688C23—4882no—
1689C23—4882no—
1690C23—4882no—
1691C23—2444no—
1692C23—2444no—
1693C23—2444no—
1694C23C2×D4×D6112yes—
1695C23C24×D6111yescharacteristic
1696Q8—4882no—
1697D4—44no—
1698D4—82no—
1699D4—82no—
1700D4—82no—
1701D4—82no—
1702D4—82no—
1703D4—82no—
1704D4—82no—
1705D4—82no—
1706D4—82no—
1707D4—82no—
1708D4—82no—
1709D4—4882no—
1710D4—4882no—
1711D4—4882no—
1712D4—4882no—
1713D4—4882no—
1714D4—4882no—
1715D4—2444no—
1716D4—2444no—
1717D4—2444no—
1718D4—2444no—
1719D4—2444no—
1720D4—2444no—
1721D4—2444no—
1722D4—2444no—
1723D4—2444no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—82no—
1748C2×C4—612no—
1749C2×C4—612no—
1750C2×C4—1221no—
1751C2×C4—1221no—
1752C2×C4—1221no—
1753C2×C4—1221no—
1754C2×C4—1221no—
1755C2×C4—1221no—
1756C2×C4—1221no—
1757C2×C4—1221no—
1758C2×C4—1221no—
1759C2×C4—1221no—
1760C2×C4—1221no—
1761C2×C4—1221no—
1762C2×C4—1221no—
1763C2×C4—1221no—
1764C2×C4—1221no—
1765C2×C4—1221no—
1766C2×C4—1221no—
1767C2×C4—1221no—
1768C2×C4—1221no—
1769C2×C4—1221no—
1770C2×C4—1221no—
1771C2×C4—1221no—
1772C2×C4—1221no—
1773C2×C4—1221no—
1774C2×C4—1221no—
1775C2×C4—1221no—
1776C2×C4—1221no—
1777C2×C4—1221no—
1778C2×C4—1221no—
1779C2×C4—1221no—
1780C2×C4—1221no—
1781C2×C4—1221no—
1782C2×C4—1221no—
1783C2×C4—1221no—
1784C2×C4—1221no—
1785C2×C4—1221no—
1786C2×C4—1221no—
1787C2×C4—4882no—
1788C2×C4—4882no—
1789C2×C4—4882no—
1790C2×C4—2444no—
1791C2×C4—2444no—
1792C2×C4—2444no—
1793C2×C4—2444no—
1794C2×C4—2444no—
1795C2×C4—2444no—
1796C2×C4C2×D4×D6112yes—
1797C2×C4C2×D4×D6112yes—
1798C2×C4#1451982212yes—
1799C2×C4#1451982212yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—88no—
1843C22—614no—
1844C22—1222no—
1845C22—1222no—
1846C22—1222no—
1847C22—1222no—
1848C22—1222no—
1849C22—1222no—
1850C22—1222no—
1851C22—1222no—
1852C22—1222no—
1853C22—4888no—
1854C22—4888no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22—2441no—
1862C22—2441no—
1863C22—2441no—
1864C22—2441no—
1865C22—2441no—
1866C22C22×D4×D6111yescharacteristic
1867C22H(5,𝔽2)×D6111yescharacteristic
1868C22H(5,𝔽2)×D6111yescharacteristic
1869C22C2×#1451982211yescharacteristic
1870C22C2×#1451982211yescharacteristic
1871C22#1684059711yescharacteristic
1872C22#1684059711yescharacteristic
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—1222no—
1883C4—1222no—
1884C4—2441no—
1885C4—2441no—
1886C4—2441no—
1887C4—2441no—
1888C4—2441no—
1889C4—2441no—
1890C4—2441no—
1891C4—2441no—
1892C4—2441no—
1893C4—2441no—
1894C4—2441no—
1895C2—42no—
1896C2—81no—
1897C2—81no—
1898C2—81no—
1899C2—81no—
1900C2—81no—
1901C2—1224no—
1902C2—4881no—
1903C2—2442no—
1904C2#535×D6111yescharacteristic
1905C2#2145957511yescharacteristic
1906C2#2145957511yescharacteristic
1907C2#2145999911yescharacteristic
1908C2#2146005011yescharacteristic
1909C2#2146033711yescharacteristic
1910C2#2146036911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2669C2
hypercenter#2669D61
hypocenterC61#36739
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#16840344C2semidirect
2. C2×#16840322C2semidirect
3. #21454161C2semidirect
4. #21454117C2semidirect
5. #21452667C2semidirect
6. #21452666C2semidirect
7. #21452568C2semidirect
8. #21452563C2semidirect
9. #21452514C2semidirect
10. #21452511C2semidirect
11. #21452458C2semidirect
12. #21452455C2semidirect
13. #21452209C2semidirect
14. #21452206C2semidirect
15. #21452147C2semidirect
16. #21452144C2semidirect
17. #21452046C2semidirect
18. #21452041C2semidirect
19. #21452032C2semidirect
20. #21451920C2semidirect
21. #21451750C2semidirect
22. #21450778C2semidirect
23. #21450774C2semidirect
24. #21449255C2semidirect
25. #21449252C2semidirect
26. #21449189C2semidirect
27. #21449189C2semidirect
28. #21449186C2semidirect
29. #21449186C2semidirect
30. #388×D61C2semidirect
31. C61×#2669C2semidirect
36. C2×#14519772C22semidirect
37. C2×#14519770C22semidirect
38. C2×#14519764C22semidirect
39. C2×#14519763C22semidirect
40. C2×#14519763C22semidirect
42. C2×#14519760C22semidirect
46. C2×#14519758C22semidirect
47. C2×#14519755C22semidirect
50. C2×#14519750C22semidirect
51. C2×#14519750C22semidirect
52. C2×#14519749C22semidirect
53. C2×#14519749C22semidirect
56. C2×#14519748C22semidirect
57. C2×#14519748C22semidirect
58. C2×#14519748C22semidirect
59. C2×#14519748C22semidirect
60. C2×#14519748C22semidirect
61. C2×#14519748C22semidirect
62. C2×#14519748C22semidirect
68. C2×#14519745C22semidirect
69. C2×#14519745C22semidirect
70. C2×C4×C22⋊D61C22semidirect
71. C2×#14519737C22semidirect
72. C2×C4⋊C4×D61C22semidirect
76. C2×C42×D61C22semidirect
77. #16839702C22semidirect
78. #16839701C22semidirect
79. #16839699C22semidirect
80. #16839698C22semidirect
81. #16839698C22semidirect
82. #16839698C22semidirect
83. #16839696C22semidirect
84. #16839694C22semidirect
85. #16839690C22semidirect
86. #16839690C22semidirect
87. #16839690C22semidirect
88. #16839687C22semidirect
89. #16839685C22semidirect
90. #16839685C22semidirect
91. #16839685C22semidirect
92. #16839684C22semidirect
99. #16839678C22semidirect
100. #16839677C22semidirect
103. #16839676C22semidirect
104. #16839676C22semidirect
105. #16839676C22semidirect
106. #16839676C22semidirect
107. #16839674C22semidirect
108. #16839674C22semidirect
115. #16839670C22semidirect
116. #16839670C22semidirect
117. #16839670C22semidirect
118. #16839670C22semidirect
119. #16839666C22semidirect
120. #16839665C22semidirect
121. #16839665C22semidirect
122. #16839665C22semidirect
123. #16839665C22semidirect
124. #16839665C22semidirect
125. #16839665C22semidirect
126. #16839665C22semidirect
127. #16839662C22semidirect
128. #16839662C22semidirect
129. #16839661C22semidirect
130. #16839659C22semidirect
131. #16839656C22semidirect
132. #16839656C22semidirect
133. #16839655C22semidirect
134. #16839655C22semidirect
135. #16839655C22semidirect
136. #16839654C22semidirect
137. #16839654C22semidirect
138. #16839653C22semidirect
139. #16839653C22semidirect
140. #16839652C22semidirect
141. #16839652C22semidirect
142. #16839651C22semidirect
143. #16839650C22semidirect
144. #16839650C22semidirect
145. #16839642C22semidirect
146. #16839642C22semidirect
147. #16839642C22semidirect
148. #16839642C22semidirect
149. #16839641C22semidirect
150. #16839640C22semidirect
151. #16839640C22semidirect
152. #16839638C22semidirect
153. #16839638C22semidirect
154. #16839638C22semidirect
155. #16839638C22semidirect
156. #16839638C22semidirect
157. #16839638C22semidirect
158. #16839638C22semidirect
159. #16839638C22semidirect
160. #16839637C22semidirect
161. #16839637C22semidirect
162. #16839636C22semidirect
163. #16839636C22semidirect
164. #16839632C22semidirect
165. #16839626C22semidirect
166. #16839622C22semidirect
167. #16839620C22semidirect
168. #16839618C22semidirect
169. #16839618C22semidirect
170. #16839617C22semidirect
171. #16839617C22semidirect
172. #95×D61C22semidirect
173. #95×D61C22semidirect
174. C2×#127×C61C22semidirect
175. C2×#121×C61C22semidirect
176. C2×#121×C61C22semidirect
178. C2×#120×C61C22semidirect
179. C2×#120×C61C22semidirect
180. C61×#394C22semidirect
181. C61×#394C22semidirect
184. C61×#392C22semidirect
185. C61×#392C22semidirect
186. C61×#388C22semidirect
187. C61×#388C22semidirect
188. C61×#386C22semidirect
329. C22⋊C4×D61D4semidirect
959. #2669D61semidirect
991. C2×#127C2×D61semidirect
1019. C2×#121C2×D61semidirect
1020. C2×#121C2×D61semidirect
1029. C2×#120C2×D61semidirect
1030. C2×#120C2×D61semidirect
1068. #394C2×D61semidirect
1069. #394C2×D61semidirect
1084. #392C2×D61semidirect
1085. #392C2×D61semidirect
1112. #388C2×D61semidirect
1113. #388C2×D61semidirect
1129. #386C2×D61semidirect
1144. C61#36739semidirect

Maximal subgroups

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

subgroupindex
C2×#168403442
C2×#168403222
#214541612
#214541172
#214526672
#214526662
#214525682
#214525632
#214525142
#214525112
#214524582
#214524552
#214522092
#214522062
#214521472
#214521442
#214520462
#214520412
#214520322
#214519202
#214517502
#214507782
#214507742
#214492552
#214492522
#214491892
#214491862
#388×D612
C61×#26692
#3673961