Finite Group Databasebeta

← #29887528

Subgroups — #29887528

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×#16840363C211yesmaximal, characteristic, complemented
2#21454162C211yesmaximal, characteristic, complemented
3#21454148C211yesmaximal, characteristic, complemented
4#21452710C211yesmaximal, characteristic, complemented
5#21452611C211yesmaximal, characteristic, complemented
6#21452335C211yesmaximal, characteristic, complemented
7#21452167C211yesmaximal, characteristic, complemented
8#21452158C211yesmaximal, characteristic, complemented
9#21452140C211yesmaximal, characteristic, complemented
10#21452115C211yesmaximal, characteristic, complemented
11#21452109C211yesmaximal, characteristic, complemented
12#21452085C211yesmaximal, characteristic, complemented
13#21452081C211yesmaximal, characteristic, complemented
14#21452065C211yesmaximal, characteristic, complemented
15#21452051C211yesmaximal, characteristic, complemented
16#21452050C211yesmaximal, characteristic, complemented
17#21452036C211yesmaximal, characteristic, complemented
18#21452033C211yesmaximal, characteristic, complemented
19#21452023C211yesmaximal, characteristic, complemented
20#21451948C211yesmaximal, characteristic, complemented
21#21451947C211yesmaximal, characteristic, complemented
22#21451508C211yesmaximal, characteristic, complemented
23#21451448C211yesmaximal, characteristic, complemented
24#21451431C211yesmaximal, characteristic, complemented
25#21451418C211yesmaximal, characteristic, complemented
26#21450759C211yesmaximal, characteristic, complemented
27#21450750C211yesmaximal, characteristic, complemented
28#21449237C211yesmaximal, characteristic, complemented
29#21449204C211yesmaximal, characteristic, complemented
30#21448264C211yesmaximal, characteristic, complemented
31C2×C61×#538C211yesmaximal, characteristic, complemented
32#16840363—28no—
33C2×#14519773C2211yescharacteristic
34C2×#14519773C2211yescharacteristic
35C2×#14519768C2211yescharacteristic, complemented
36C2×#14519760C2211yescharacteristic
37C2×#14519760C2211yescharacteristic
38C2×#14519760C2211yescharacteristic
39C2×#14519760C2211yescharacteristic, complemented
40C2×#14519759C2211yescharacteristic
41C2×#14519759C2211yescharacteristic, complemented
42C2×#14519753C2211yescharacteristic, complemented
43C2×#14519753C2211yescharacteristic, complemented
44C2×#14519752C2211yescharacteristic, complemented
45C2×#14519751C2211yescharacteristic
46C2×#14519751C2211yescharacteristic, complemented
47C2×#14519751C2211yescharacteristic, complemented
48C2×#14519750C2211yescharacteristic
49C2×#14519750C2211yescharacteristic, complemented
50C2×#14519749C2211yescharacteristic
51C2×#14519749C2211yescharacteristic
52C2×#14519749C2211yescharacteristic
53C2×#14519749C2211yescharacteristic, complemented
54C2×#14519749C2211yescharacteristic, complemented
55C2×#14519748C2211yescharacteristic
56C2×#14519748C2211yescharacteristic
57C2×#14519748C2211yescharacteristic
58C2×#14519746C2211yescharacteristic
59C2×#14519746C2211yescharacteristic
60C2×#14519746C2211yescharacteristic
61C2×C4×D244C2211yescharacteristic, complemented
62C2×#14519736C2211yescharacteristic
63C2×#14519734C2211yescharacteristic, complemented
64C22×C4×Dic61C2211yescharacteristic, complemented
65#16839698C2211yescharacteristic
66#16839698C2211yescharacteristic
67#16839698C2211yescharacteristic
68#16839698C2211yescharacteristic, complemented
69#16839695C2211yescharacteristic, complemented
70#16839693C2211yescharacteristic, complemented
71#16839692C2211yescharacteristic, complemented
72#16839692C2211yescharacteristic, complemented
73#16839690C2211yescharacteristic
74#16839688C2211yescharacteristic, complemented
75#16839687C2211yescharacteristic
76#16839687C2211yescharacteristic
77#16839685C2211yescharacteristic
78#16839685C2211yescharacteristic
79#16839685C2211yescharacteristic
80#16839684C2211yescharacteristic, complemented
81#16839681C2211yescharacteristic, complemented
82#16839679C2211yescharacteristic, complemented
83#16839679C2211yescharacteristic, complemented
84#16839678C2211yescharacteristic
85#16839678C2211yescharacteristic
86#16839678C2211yescharacteristic
87#16839677C2211yescharacteristic
88#16839677C2211yescharacteristic
89#16839677C2211yescharacteristic
90#16839677C2211yescharacteristic, complemented
91#16839677C2211yescharacteristic, complemented
92#16839676C2211yescharacteristic
93#16839676C2211yescharacteristic
94#16839676C2211yescharacteristic
95#16839676C2211yescharacteristic
96#16839676C2211yescharacteristic, complemented
97#16839673C2211yescharacteristic, complemented
98#16839671C2211yescharacteristic
99#16839671C2211yescharacteristic
100#16839671C2211yescharacteristic
101#16839671C2211yescharacteristic
102#16839671C2211yescharacteristic
103#16839671C2211yescharacteristic, complemented
104#16839670C2211yescharacteristic
105#16839670C2211yescharacteristic
106#16839670C2211yescharacteristic
107#16839670C2211yescharacteristic
108#16839670C2211yescharacteristic
109#16839670C2211yescharacteristic
110#16839670C2211yescharacteristic
111#16839670C2211yescharacteristic
112#16839670C2211yescharacteristic, complemented
113#16839665C2211yescharacteristic
114#16839664C2211yescharacteristic, complemented
115#16839663C2211yescharacteristic, complemented
116#16839662C2211yescharacteristic
117#16839662C2211yescharacteristic
118#16839662C2211yescharacteristic
119#16839662C2211yescharacteristic
120#16839662C2211yescharacteristic
121#16839662C2211yescharacteristic
122#16839662C2211yescharacteristic
123#16839662C2211yescharacteristic, complemented
124#16839662C2211yescharacteristic, complemented
125#16839662C2211yescharacteristic, complemented
126#16839660C2211yescharacteristic, complemented
127#16839657C2211yescharacteristic, complemented
128#16839657C2211yescharacteristic, complemented
129#16839656C2211yescharacteristic
130#16839656C2211yescharacteristic
131#16839656C2211yescharacteristic
132#16839656C2211yescharacteristic, complemented
133#16839655C2211yescharacteristic
134#16839655C2211yescharacteristic
135#16839653C2211yescharacteristic, complemented
136#16839652C2211yescharacteristic, complemented
137#16839652C2211yescharacteristic, complemented
138#16839652C2211yescharacteristic, complemented
139#16839652C2211yescharacteristic, complemented
140#16839650C2211yescharacteristic
141#16839650C2211yescharacteristic
142#16839650C2211yescharacteristic, complemented
143#16839648C2211yescharacteristic, complemented
144#16839648C2211yescharacteristic, complemented
145#16839646C2211yescharacteristic, complemented
146#16839643C2211yescharacteristic, complemented
147#16839642C2211yescharacteristic
148#16839642C2211yescharacteristic
149#16839642C2211yescharacteristic
150#16839641C2211yescharacteristic
151#16839641C2211yescharacteristic, complemented
152#16839639C2211yescharacteristic, complemented
153#16839638C2211yescharacteristic
154#16839638C2211yescharacteristic
155#16839638C2211yescharacteristic
156#16839638C2211yescharacteristic
157#16839638C2211yescharacteristic, complemented
158#16839637C2211yescharacteristic, complemented
159#16839637C2211yescharacteristic, complemented
160#16839635C2211yescharacteristic
161#16839635C2211yescharacteristic, complemented
162#16839633C2211yescharacteristic, complemented
163#16839633C2211yescharacteristic, complemented
164#16839633C2211yescharacteristic, complemented
165#16839631C2211yescharacteristic, complemented
166#16839622C2211yescharacteristic, complemented
167#16839620C2211yescharacteristic, complemented
168#16839618C2211yescharacteristic
169C4×C4⋊Dic61C2211yescharacteristic, complemented
170C4×C22⋊Dic61C2211yescharacteristic
171C4×C22⋊Dic61C2211yescharacteristic, complemented
172#16839608C2211yescharacteristic, complemented
173C61×#538—28no—
174C2×#126×C61C2211yescharacteristic
175C2×#126×C61C2211yescharacteristic
176C2×#124×C61C2211yescharacteristic
177C2×#124×C61C2211yescharacteristic
178C2×#123×C61C2211yescharacteristic
179C2×#123×C61C2211yescharacteristic
180C2×C22⋊Q8×C61C2211yescharacteristic
181C2×#121×C61C2211yescharacteristic
182C2×#121×C61C2211yescharacteristic
183C2×#121×C61C2211yescharacteristic
184C2×#120×C61C2211yescharacteristic
185C2×#120×C61C2211yescharacteristic
186C2×C4×D4×C61C2211yescharacteristic
187C2×C4×D4×C61C2211yescharacteristic
188C22×C22⋊C4×C61C2211yescharacteristic
189C22×D244C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212#14519773—24no—
213#14519773—42no—
214#14519768—24no—
215#14519760—24no—
216#14519760—24no—
217#14519760—42no—
218#14519760—42no—
219#14519759—24no—
220#14519759—24no—
221#14519753—42no—
222#14519753—42no—
223#14519752—24no—
224#14519751—24no—
225#14519751—24no—
226#14519751—42no—
227#14519750—24no—
228#14519750—24no—
229#14519749—42no—
230#14519749—42no—
231#14519749—42no—
232#14519749—42no—
233#14519749—42no—
234#14519748—24no—
235#14519748—42no—
236#14519748—42no—
237#14519746—42no—
238#14519746—42no—
239#14519746—42no—
240C4×D244—24no—
241#14519736—42no—
242#14519734—24no—
243C2×C4⋊Dic61C2311yescharacteristic
244C2×C4⋊Dic61C2311yescharacteristic
245C2×C4⋊Dic61C2311yescharacteristic
246C2×C4⋊Dic61C2311yescharacteristic
247C2×C4⋊Dic61C2311yescharacteristic
248C2×C4⋊Dic61C2311yescharacteristic
249C2×C4⋊Dic61C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×#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×C4×Dic61—42no—
310C2×C4×Dic61C2311yescharacteristic
311C2×C4×Dic61C2311yescharacteristic
312C2×C4×Dic61C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
314C2×C4×Dic61C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
316C2×C4×Dic61C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341C25×C61C2311yescharacteristic
342C22×Q8×C61C2311yescharacteristic
343C22×D4×C61C2311yescharacteristic
344C22×D4×C61C2311yescharacteristic
345C22×D4×C61C2311yescharacteristic
346C22×D4×C61C2311yescharacteristic
347C22×D4×C61C2311yescharacteristic
348C22×D4×C61C2311yescharacteristic
349C22×D4×C61C2311yescharacteristic
350C23×C4×C61C2311yescharacteristic
351C23×C4×C61C2311yescharacteristic
352C23×C4×C61C2311yescharacteristic
353C23×C4×C61C2311yescharacteristic
354#126×C61—24no—
355#126×C61—24no—
356#124×C61—24no—
357#124×C61—24no—
358#123×C61—24no—
359#123×C61—24no—
360C22⋊Q8×C61—24no—
361#121×C61—24no—
362#121×C61—24no—
363#121×C61—24no—
364#120×C61—24no—
365#120×C61—24no—
366C4×D4×C61—24no—
367C4×D4×C61D418yescomplemented
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C4⋊C4×C61C2311yescharacteristic
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C4⋊C4×C61C2311yescharacteristic
372C2×C4⋊C4×C61C2311yescharacteristic
373C2×C4⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61—24no—
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×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389C2×C42×C61C2311yescharacteristic
390C2×C42×C61C2311yescharacteristic
391C24×C61—22no—
392C24×C61—41no—
393C24×C61—41no—
394C24×C61—41no—
395C24×C61—41no—
396C24×C61—41no—
397C24×C61—41no—
398C24×C61C2411yescharacteristic
399C24×C61C2411yescharacteristic
400C24×C61C2411yescharacteristic
401C24×C61C2411yescharacteristic
402C24×C61C2411yescharacteristic
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—22no—
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—41no—
416C2×D4×C61—41no—
417C2×D4×C61—41no—
418C2×D4×C61—41no—
419C2×D4×C61—41no—
420C2×D4×C61—41no—
421C2×D4×C61—41no—
422C2×D4×C61—41no—
423C2×D4×C61—41no—
424C2×D4×C61—41no—
425C2×D4×C61—41no—
426C2×D4×C61—41no—
427C2×D4×C61—41no—
428C2×D4×C61—41no—
429C2×D4×C61C2×D414yes—
430C22×C4×C61—22no—
431C22×C4×C61—22no—
432C22×C4×C61—41no—
433C22×C4×C61—41no—
434C22×C4×C61—41no—
435C22×C4×C61—41no—
436C22×C4×C61—41no—
437C22×C4×C61—41no—
438C22×C4×C61—41no—
439C22×C4×C61—41no—
440C22×C4×C61C2×D414yes—
441C22×C4×C61C2×D414yes—
442C22×C4×C61C2411yescharacteristic
443C22×C4×C61C2411yescharacteristic
444C22×C4×C61C2411yescharacteristic
445C22×C4×C61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C2×C22⋊D61—22no—
453C2×C22⋊D61—22no—
454C2×C22⋊D61—22no—
455C2×C22⋊D61—22no—
456C2×C22⋊D61—22no—
457C2×C22⋊D61—22no—
458C2×C22⋊D61—22no—
459C2×C22⋊D61—22no—
460C2×C22⋊D61—22no—
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—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⋊D61—41no—
475C2×C22⋊D61—41no—
476C2×C22⋊D61—41no—
477C2×C22⋊D61—41no—
478C2×C22⋊D61—41no—
479C2×C22⋊D61—41no—
480C2×C22⋊D61—41no—
481C2×C22⋊D61—41no—
482C2×C22⋊D61—41no—
483C2×C22⋊D61—41no—
484C2×C22⋊D61—41no—
485C2×C22⋊D61—41no—
486C2×C22⋊D61—41no—
487C2×C22⋊D61—41no—
488C2×C22⋊D61—41no—
489C2×C22⋊D61—41no—
490C2×C22⋊D61—41no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61—41no—
494C2×C22⋊D61—41no—
495C2×C22⋊D61—41no—
496C2×C22⋊D61—41no—
497C22×Dic61—22no—
498C22×Dic61—22no—
499C22×Dic61—22no—
500C22×Dic61—41no—
501C22×Dic61—41no—
502C22×Dic61—41no—
503C22×Dic61C2411yescharacteristic
504C22×Dic61C2411yescharacteristic
505C22×Dic61C2411yescharacteristic
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C22×Dic61C2411yescharacteristic
516C2×D244—22no—
517C2×D244—22no—
518C2×D244—22no—
519C2×D244—41no—
520C2×D244—41no—
521C2×D244—41no—
522C2×D244—41no—
523C2×D244—41no—
524C2×D244—41no—
525C2×C4×D61—22no—
526C2×C4×D61—22no—
527C2×C4×D61—22no—
528C2×C4×D61—41no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×C4×D61—41no—
532C2×C4×D61—41no—
533C2×C4×D61—41no—
534C4⋊C4×C61—22no—
535C4⋊C4×C61—22no—
536C4⋊C4×C61—22no—
537C4⋊C4×C61—22no—
538C4⋊C4×C61—22no—
539C4⋊C4×C61C2×D414yes—
540C22⋊C4×C61—22no—
541C22⋊C4×C61—22no—
542C22⋊C4×C61—22no—
543C22⋊C4×C61—22no—
544C22⋊C4×C61—22no—
545C22⋊C4×C61—22no—
546C22⋊C4×C61—22no—
547C22⋊C4×C61—22no—
548C22⋊C4×C61—22no—
549C22⋊C4×C61—22no—
550C22⋊C4×C61—22no—
551C22⋊C4×C61—22no—
552C22⋊C4×C61C2×D414yes—
553C22⋊C4×C61C2×D414yes—
554C42×C61—22no—
555C42×C61C2×D414yes—
556C22⋊Dic61—22no—
557C22⋊Dic61—22no—
558C22⋊Dic61—22no—
559C22⋊Dic61—22no—
560C22⋊Dic61—22no—
561C22⋊Dic61—22no—
562C22⋊Dic61—22no—
563C22⋊Dic61—22no—
564C22⋊Dic61—22no—
565C22⋊Dic61—41no—
566C22⋊Dic61—41no—
567C22⋊Dic61—41no—
568C22⋊Dic61—41no—
569C22⋊Dic61—41no—
570C22⋊Dic61—41no—
571C22⋊Dic61—41no—
572C22⋊Dic61—41no—
573C22⋊Dic61—41no—
574C22⋊Dic61—41no—
575C22⋊Dic61—41no—
576C22⋊Dic61—41no—
577C22⋊Dic61—41no—
578C22⋊Dic61—41no—
579#11758198—22no—
580#11758198—22no—
581#11758198—22no—
582#11758198—22no—
583#11758198—22no—
584#11758198—22no—
585#11758198—22no—
586#11758198—22no—
587#11758198—22no—
588#11758198—22no—
589#11758198—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—
600C4⋊Dic61—22no—
601C4⋊Dic61—22no—
602C4⋊Dic61—22no—
603C4⋊Dic61—22no—
604C4⋊Dic61—22no—
605C4⋊Dic61—22no—
606C4⋊Dic61—41no—
607#11758196—22no—
608#11758196—22no—
609#11758196—22no—
610#11758196—22no—
611#11758196—22no—
612#11758196—22no—
613#11758196—22no—
614#11758196—41no—
615#11758196—41no—
616#11758196—41no—
617#11758196—41no—
618#11758196—41no—
619#11758196—41no—
620#11758196—41no—
621#11758196—41no—
622C4×Dic61—22no—
623C4×Dic61—22no—
624C4×Dic61—22no—
625C4×Dic61—41no—
626C4×Dic61—41no—
627C4×Dic61—41no—
628C4×Dic61—41no—
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×C61—21no—
650C23×C61—21no—
651C23×C61—21no—
652C23×C61—21no—
653C23×C61—21no—
654C23×C61—21no—
655C23×C61—21no—
656C23×C61—21no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—44no—
663C23×C61—82no—
664C23×C61—82no—
665C23×C61—82no—
666C23×C61—82no—
667C23×C61—82no—
668C23×C61—82no—
669C23×C61C22×D412yes—
670C23×C61C22×D412yes—
671C23×C61C2511yescharacteristic
672C22×D61—21no—
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—21no—
687C22×D61—21no—
688C22×D61—21no—
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—21no—
693Q8×C61—82no—
694D4×C61—44no—
695D4×C61—44no—
696D4×C61—82no—
697D4×C61—82no—
698D4×C61—82no—
699D4×C61—82no—
700D4×C61—82no—
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—44no—
727C2×C4×C61—44no—
728C2×C4×C61—82no—
729C2×C4×C61—82no—
730C2×C4×C61C22×D412yes—
731C2×C4×C61C22×D412yes—
732C2×C4×C61C22×D412yes—
733C2×C4×C61C22×D412yes—
734C2×C4×C61C22×D412yes—
735C22⋊D61—82no—
736C22⋊D61—82no—
737C22⋊D61—82no—
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—
748C22⋊D61—82no—
749C22⋊D61—82no—
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—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—44no—
787C2×Dic61—44no—
788C2×Dic61H(5,𝔽2)12yes—
789C2×Dic61H(5,𝔽2)12yes—
790C2×Dic61H(5,𝔽2)12yes—
791D244—44no—
792D244—82no—
793D244—82no—
794C4×D61—44no—
795C4×D61—82no—
796C4×D61—82no—
797#36744—611nomaximal, Sylow
798C22×C61—22no—
799C22×C61—22no—
800C22×C61—22no—
801C22×C61—22no—
802C22×C61—22no—
803C22×C61—22no—
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×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—88no—
834C22×C61C23×D411yescharacteristic
835C22×C61C2×H(5,𝔽2)11yescharacteristic
836C22×C61C2×H(5,𝔽2)11yescharacteristic
837C22×C61C2×H(5,𝔽2)11yescharacteristic
838C22×C61#58511yescharacteristic
839C22×C61#58511yescharacteristic
840C22×C61#58511yescharacteristic
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—41no—
862C4×C61—22no—
863C4×C61—22no—
864C4×C61—22no—
865C4×C61—22no—
866C4×C61—22no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61—41no—
870C4×C61—41no—
871C4×C61—41no—
872Dic61—22no—
873Dic61—22no—
874Dic61—22no—
875Dic61—41no—
876Dic61—41no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882Dic61—41no—
883Dic61—41no—
884Dic61—41no—
885C2×#540—611no—
886C2×#538D6111yescharacteristic, complemented
887#2856—611no—
888#2854—611no—
889#2721—611no—
890#2714—611no—
891#2694—611no—
892#2681—611no—
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—42no—
918C2×C61—81no—
919C2×C61—81no—
920C2×C61—81no—
921C2×C61#344911yescharacteristic
922C2×C61#349611yescharacteristic
923C2×C61#349811yescharacteristic
924C2×C61#353411yescharacteristic
925C2×C61#354211yescharacteristic
926C2×C61#355111yescharacteristic
927C2×C61#356211yescharacteristic
928D61—81no—
929D61—81no—
930D61—81no—
931#540—1228no—
932#538—28no—
933C2×#127—611no—
934C2×#127—611no—
935C2×#126C2×D6111yescharacteristic
936C2×#126C2×D6111yescharacteristic
937C2×#125—611no—
938C2×#124C2×D6111yescharacteristic
939C2×#124C2×D6111yescharacteristic
940C2×#123—611no—
941C2×#123—611no—
942C2×#123—611no—
943C2×#123—611no—
944C2×#123—611no—
945C2×#123—611no—
946C2×#123C2×D6111yescharacteristic
947C2×#123C2×D6111yescharacteristic
948C2×C22⋊Q8—611no—
949C2×C22⋊Q8—611no—
950C2×C22⋊Q8C2×D6111yescharacteristic
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×#121C2×D6111yescharacteristic
966C2×#121C2×D6111yescharacteristic
967C2×#121C2×D6111yescharacteristic
968C2×#120—611no—
969C2×#120—611no—
970C2×#120—611no—
971C2×#120C2×D6111yescharacteristic
972C2×#120C2×D6111yescharacteristic
973C2×C4×D4—611no—
974C2×C4×D4C2×D6111yescharacteristic
975C2×C4×D4C2×D6111yescharacteristic
976C2×#117—611no—
977C2×#117—611no—
978C22×C22⋊C4C2×D6111yescharacteristic
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#398—611no—
988#397—611no—
989#397—611no—
990#397—611no—
991#397—611no—
992#396—611no—
993#396—611no—
994#396—611no—
995#396—611no—
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#394—611no—
1010#394—611no—
1011#394—611no—
1012#393—611no—
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#390—611no—
1041#389—611no—
1042#389—611no—
1043#389—611no—
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#388—611no—
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#386—611no—
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385—611no—
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
1089C25C22×D6111yescharacteristic
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×D4C22×D6111yescharacteristic
1110C22×D4C22×D6111yescharacteristic
1111C22×D4C22×D6111yescharacteristic
1112C22×D4C22×D6111yescharacteristic
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×C4C22×D6111yescharacteristic
1122C23×C4C22×D6111yescharacteristic
1123C23×C4C22×D6111yescharacteristic
1124C23×C4C22×D6111yescharacteristic
1125#127—1224no—
1126#127—2442no—
1127#126—24no—
1128#126—24no—
1129#125—1224no—
1130#124—24no—
1131#124—24no—
1132#123—24no—
1133#123—24no—
1134#123—1224no—
1135#123—1224no—
1136#123—1224no—
1137#123—1224no—
1138#123—2442no—
1139#123—2442no—
1140C22⋊Q8—24no—
1141C22⋊Q8—2442no—
1142C22⋊Q8—2442no—
1143#121—24no—
1144#121—24no—
1145#121—24no—
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—24no—
1161#120—24no—
1162#120—2442no—
1163#120—2442no—
1164#120—2442no—
1165C4×D4—24no—
1166C4×D4—1224no—
1167C4×D4C22⋊D6118yescomplemented
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⋊C4—611no—
1190C2×C4⋊C4—611no—
1191C2×C4⋊C4—611no—
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—24no—
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⋊C4C22×D6111yescharacteristic
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—2442no—
1265C2×C42C22×D6111yescharacteristic
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#95—611no—
1286#95—611no—
1287#95—611no—
1288#95—611no—
1289#95—611no—
1290#95—611no—
1291C24—22no—
1292C24—41no—
1293C24—41no—
1294C24—41no—
1295C24—41no—
1296C24—41no—
1297C24—41no—
1298C24—611no—
1299C24—611no—
1300C24—611no—
1301C24C23×D6111yescharacteristic
1302C24C23×D6111yescharacteristic
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—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—1222no—
1330C2×D4—1222no—
1331C2×D4—1222no—
1332C2×D4—1222no—
1333C2×D4—1222no—
1334C2×D4—1222no—
1335C2×D4—1222no—
1336C2×D4—1222no—
1337C2×D4—1222no—
1338C2×D4—1222no—
1339C2×D4—1222no—
1340C2×D4—1222no—
1341C2×D4—1222no—
1342C2×D4—1222no—
1343C2×D4—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×D4C2×C22⋊D6114yes—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—611no—
1395C22×C4—611no—
1396C22×C4—611no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—611no—
1404C22×C4—611no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—1222no—
1408C22×C4—1222no—
1409C22×C4—1222no—
1410C22×C4—1222no—
1411C22×C4—1222no—
1412C22×C4—1222no—
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×C4C2×C22⋊D6114yes—
1423C22×C4C2×C22⋊D6114yes—
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—1222no—
1440C4⋊C4—1222no—
1441C4⋊C4—1222no—
1442C4⋊C4—1222no—
1443C4⋊C4—1222no—
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—2441no—
1453C4⋊C4—2441no—
1454C4⋊C4—2441no—
1455C4⋊C4—2441no—
1456C4⋊C4—2441no—
1457C4⋊C4—2441no—
1458C4⋊C4—2441no—
1459C4⋊C4—2441no—
1460C4⋊C4—2441no—
1461C4⋊C4C2×C22⋊D6114yes—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—1222no—
1475C22⋊C4—1222no—
1476C22⋊C4—1222no—
1477C22⋊C4—1222no—
1478C22⋊C4—1222no—
1479C22⋊C4—1222no—
1480C22⋊C4—1222no—
1481C22⋊C4—1222no—
1482C22⋊C4—1222no—
1483C22⋊C4—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—2441no—
1494C22⋊C4—2441no—
1495C22⋊C4—2441no—
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⋊C4—2441no—
1513C22⋊C4—2441no—
1514C22⋊C4—2441no—
1515C22⋊C4—2441no—
1516C22⋊C4—2441no—
1517C22⋊C4—2441no—
1518C22⋊C4C2×C22⋊D6114yes—
1519C22⋊C4C2×C22⋊D6114yes—
1520C42—22no—
1521C42—1222no—
1522C42—1222no—
1523C42—1222no—
1524C42—2441no—
1525C42—2441no—
1526C42—2441no—
1527C42—2441no—
1528C42C2×C22⋊D6114yes—
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—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—44no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23—82no—
1569C23—1221no—
1570C23—1221no—
1571C23—1221no—
1572C23—1221no—
1573C23—1221no—
1574C23—1221no—
1575C23—1221no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—1221no—
1580C23—1221no—
1581C23—1221no—
1582C23—1221no—
1583C23—1221no—
1584C23—1221no—
1585C23—1221no—
1586C23—1221no—
1587C23—1221no—
1588C23—1221no—
1589C23—1221no—
1590C23C22×C22⋊D6112yes—
1591C23C22×C22⋊D6112yes—
1592C23C24×D6111yescharacteristic
1593Q8—82no—
1594D4—44no—
1595D4—44no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
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—4882no—
1617D4—4882no—
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—44no—
1645C2×C4—44no—
1646C2×C4—82no—
1647C2×C4—82no—
1648C2×C4—612no—
1649C2×C4—612no—
1650C2×C4—612no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—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×C4C22×C22⋊D6112yes—
1693C2×C4C22×C22⋊D6112yes—
1694C2×C4C22×C22⋊D6112yes—
1695C2×C4C22×C22⋊D6112yes—
1696C2×C4C22×C22⋊D6112yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
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—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—88no—
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—
1754C22C23×C22⋊D6111yescharacteristic
1755C22H(5,𝔽2)×D6111yescharacteristic
1756C22H(5,𝔽2)×D6111yescharacteristic
1757C22H(5,𝔽2)×D6111yescharacteristic
1758C22#1684059711yescharacteristic
1759C22#1684059811yescharacteristic
1760C22#1684059811yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—1222no—
1772C4—1222no—
1773C4—1222no—
1774C4—2441no—
1775C4—2441no—
1776C4—2441no—
1777C4—2441no—
1778C4—2441no—
1779C4—2441no—
1780C4—2441no—
1781C4—2441no—
1782C4—2441no—
1783C4—2441no—
1784C2—42no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—4881no—
1790C2—4881no—
1791C2—4881no—
1792C2#2145914811yescharacteristic
1793C2#2145957811yescharacteristic
1794C2#2145959311yescharacteristic
1795C2#2146000811yescharacteristic
1796C2#2146013411yescharacteristic
1797C2#2146023611yescharacteristic
1798C2#2146040611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC2×C61×#538C2
hypercenterC2×#538D61
hypocenterC61#36744
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#16840363C2semidirect
2. #21454162C2semidirect
3. #21454148C2semidirect
4. #21452710C2semidirect
5. #21452611C2semidirect
6. #21452335C2semidirect
7. #21452167C2semidirect
8. #21452158C2semidirect
9. #21452140C2semidirect
10. #21452115C2semidirect
11. #21452109C2semidirect
12. #21452085C2semidirect
13. #21452081C2semidirect
14. #21452065C2semidirect
15. #21452051C2semidirect
16. #21452050C2semidirect
17. #21452036C2semidirect
18. #21452033C2semidirect
19. #21452023C2semidirect
20. #21451948C2semidirect
21. #21451947C2semidirect
22. #21451508C2semidirect
23. #21451448C2semidirect
24. #21451431C2semidirect
25. #21451418C2semidirect
26. #21450759C2semidirect
27. #21450750C2semidirect
28. #21449237C2semidirect
29. #21449204C2semidirect
30. #21448264C2semidirect
31. C2×C61×#538C2semidirect
35. C2×#14519768C22semidirect
39. C2×#14519760C22semidirect
41. C2×#14519759C22semidirect
42. C2×#14519753C22semidirect
43. C2×#14519753C22semidirect
44. C2×#14519752C22semidirect
46. C2×#14519751C22semidirect
47. C2×#14519751C22semidirect
49. C2×#14519750C22semidirect
53. C2×#14519749C22semidirect
54. C2×#14519749C22semidirect
61. C2×C4×D244C22semidirect
63. C2×#14519734C22semidirect
64. C22×C4×Dic61C22semidirect
68. #16839698C22semidirect
69. #16839695C22semidirect
70. #16839693C22semidirect
71. #16839692C22semidirect
72. #16839692C22semidirect
74. #16839688C22semidirect
80. #16839684C22semidirect
81. #16839681C22semidirect
82. #16839679C22semidirect
83. #16839679C22semidirect
90. #16839677C22semidirect
91. #16839677C22semidirect
96. #16839676C22semidirect
97. #16839673C22semidirect
103. #16839671C22semidirect
112. #16839670C22semidirect
114. #16839664C22semidirect
115. #16839663C22semidirect
123. #16839662C22semidirect
124. #16839662C22semidirect
125. #16839662C22semidirect
126. #16839660C22semidirect
127. #16839657C22semidirect
128. #16839657C22semidirect
132. #16839656C22semidirect
135. #16839653C22semidirect
136. #16839652C22semidirect
137. #16839652C22semidirect
138. #16839652C22semidirect
139. #16839652C22semidirect
142. #16839650C22semidirect
143. #16839648C22semidirect
144. #16839648C22semidirect
145. #16839646C22semidirect
146. #16839643C22semidirect
151. #16839641C22semidirect
152. #16839639C22semidirect
157. #16839638C22semidirect
158. #16839637C22semidirect
159. #16839637C22semidirect
161. #16839635C22semidirect
162. #16839633C22semidirect
163. #16839633C22semidirect
164. #16839633C22semidirect
165. #16839631C22semidirect
166. #16839622C22semidirect
167. #16839620C22semidirect
169. C4×C4⋊Dic61C22semidirect
171. C4×C22⋊Dic61C22semidirect
172. #16839608C22semidirect
367. C4×D4×C61D4semidirect
886. C2×#538D61semidirect
1088. C61#36744semidirect
1167. C4×D4C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403632
#214541622
#214541482
#214527102
#214526112
#214523352
#214521672
#214521582
#214521402
#214521152
#214521092
#214520852
#214520812
#214520652
#214520512
#214520502
#214520362
#214520332
#214520232
#214519482
#214519472
#214515082
#214514482
#214514312
#214514182
#214507592
#214507502
#214492372
#214492042
#214482642
C2×C61×#5382
#3674461