Finite Group Databasebeta

← #28795775

Subgroups — #28795775

Order 15104.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837992C211yesmaximal, characteristic, complemented
2C2×#16837910C211yesmaximal, characteristic, complemented
3#21432391C211yesmaximal, characteristic, complemented
4#21432379C211yesmaximal, characteristic, complemented
5#21430769C211yesmaximal, characteristic, complemented
6#21430726C211yesmaximal, characteristic, complemented
7#21430691C211yesmaximal, characteristic, complemented
8#21430683C211yesmaximal, characteristic, complemented
9#21430462C211yesmaximal, characteristic, complemented
10#21430441C211yesmaximal, characteristic, complemented
11#21430441C211yesmaximal, characteristic, complemented
12#21430429C211yesmaximal, characteristic, complemented
13#21430422C211yesmaximal, characteristic, complemented
14#21430420C211yesmaximal, characteristic, complemented
15#21430415C211yesmaximal, characteristic, complemented
16#21430343C211yesmaximal, characteristic, complemented
17#21430316C211yesmaximal, characteristic, complemented
18#21430311C211yesmaximal, characteristic, complemented
19#21430311C211yesmaximal, characteristic, complemented
20#21429989C211yesmaximal, characteristic, complemented
21#21429946C211yesmaximal, characteristic, complemented
22#21429784C211yesmaximal, characteristic, complemented
23#21429724C211yesmaximal, characteristic, complemented
24#21429698C211yesmaximal, characteristic, complemented
25#21429684C211yesmaximal, characteristic, complemented
26#21429069C211yesmaximal, characteristic, complemented
27#21428991C211yesmaximal, characteristic, complemented
28#21427436C211yesmaximal, characteristic, complemented
29#21427414C211yesmaximal, characteristic, complemented
30#21426737C211yesmaximal, characteristic, complemented
31C59×#2687C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic, complemented
34#16837992—28no—
35C2×#14273724C2211yescharacteristic
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273722C2211yescharacteristic, complemented
38C2×#14273716C2211yescharacteristic
39C2×#14273716C2211yescharacteristic, complemented
40C2×#14273716C2211yescharacteristic, complemented
41#16837910—28no—
42C2×#14273712C2211yescharacteristic
43C2×#14273712C2211yescharacteristic
44C2×#14273712C2211yescharacteristic, complemented
45C2×#14273710C2211yescharacteristic
46C2×#14273710C2211yescharacteristic, complemented
47C2×#14273705C2211yescharacteristic, complemented
48C2×#14273705C2211yescharacteristic, complemented
49C2×#14273705C2211yescharacteristic, complemented
50C2×#14273702C2211yescharacteristic
51C2×#14273702C2211yescharacteristic
52C2×#14273702C2211yescharacteristic
53C2×#14273701C2211yescharacteristic
54C2×#14273701C2211yescharacteristic
55C2×#14273700C2211yescharacteristic
56C2×#14273700C2211yescharacteristic
57C2×#14273700C2211yescharacteristic, complemented
58C2×#14273697C2211yescharacteristic
59C2×#14273697C2211yescharacteristic
60C2×#14273697C2211yescharacteristic
61C2×#14273697C2211yescharacteristic
62C2×#14273697C2211yescharacteristic, complemented
63C2×#14273697C2211yescharacteristic, complemented
64C2×#14273697C2211yescharacteristic, complemented
65C2×#14273697C2211yescharacteristic, complemented
66C2×#14273695C2211yescharacteristic
67C2×#14273695C2211yescharacteristic
68C2×#14273689C2211yescharacteristic, complemented
69C2×#14273689C2211yescharacteristic, complemented
70C2×(C22⋊D59)⋊C4C2211yescharacteristic
71C2×(C22⋊D59)⋊C4C2211yescharacteristic
72C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
73C2×#14273683C2211yescharacteristic, complemented
74C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
75#16837337C2211yescharacteristic, complemented
76#16837336C2211yescharacteristic, complemented
77#16837331C2211yescharacteristic, complemented
78#16837328C2211yescharacteristic, complemented
79#16837326C2211yescharacteristic, complemented
80#16837326C2211yescharacteristic, complemented
81#16837326C2211yescharacteristic, complemented
82#16837325C2211yescharacteristic, complemented
83#16837324C2211yescharacteristic, complemented
84#16837324C2211yescharacteristic, complemented
85#16837321C2211yescharacteristic, complemented
86#16837320C2211yescharacteristic
87#16837320C2211yescharacteristic
88#16837320C2211yescharacteristic
89#16837320C2211yescharacteristic
90#16837320C2211yescharacteristic, complemented
91#16837320C2211yescharacteristic, complemented
92#16837320C2211yescharacteristic, complemented
93#16837320C2211yescharacteristic, complemented
94#16837320C2211yescharacteristic, complemented
95#16837320C2211yescharacteristic, complemented
96#16837319C2211yescharacteristic
97#16837319C2211yescharacteristic, complemented
98#16837319C2211yescharacteristic, complemented
99#16837319C2211yescharacteristic, complemented
100#16837317C2211yescharacteristic
101#16837317C2211yescharacteristic
102#16837317C2211yescharacteristic, complemented
103#16837317C2211yescharacteristic, complemented
104#16837315C2211yescharacteristic, complemented
105#16837315C2211yescharacteristic, complemented
106#16837312C2211yescharacteristic
107#16837312C2211yescharacteristic
108#16837312C2211yescharacteristic
109#16837312C2211yescharacteristic, complemented
110#16837312C2211yescharacteristic, complemented
111#16837311C2211yescharacteristic
112#16837311C2211yescharacteristic
113#16837311C2211yescharacteristic
114#16837311C2211yescharacteristic
115#16837311C2211yescharacteristic, complemented
116#16837310C2211yescharacteristic
117#16837306C2211yescharacteristic, complemented
118#16837303C2211yescharacteristic
119#16837303C2211yescharacteristic, complemented
120#16837303C2211yescharacteristic, complemented
121#16837302C2211yescharacteristic
122#16837302C2211yescharacteristic
123#16837302C2211yescharacteristic
124#16837302C2211yescharacteristic
125#16837302C2211yescharacteristic, complemented
126#16837302C2211yescharacteristic, complemented
127#16837299C2211yescharacteristic, complemented
128#16837297C2211yescharacteristic, complemented
129#16837297C2211yescharacteristic, complemented
130#16837295C2211yescharacteristic, complemented
131#16837294C2211yescharacteristic, complemented
132#16837294C2211yescharacteristic, complemented
133#16837293C2211yescharacteristic, complemented
134#16837293C2211yescharacteristic, complemented
135#16837291C2211yescharacteristic, complemented
136#16837291C2211yescharacteristic, complemented
137#16837291C2211yescharacteristic, complemented
138#16837291C2211yescharacteristic, complemented
139#16837291C2211yescharacteristic, complemented
140#16837291C2211yescharacteristic, complemented
141#16837291C2211yescharacteristic, complemented
142#16837284C2211yescharacteristic, complemented
143#16837284C2211yescharacteristic, complemented
144#16837281C2211yescharacteristic
145#16837281C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic
147#16837280C2211yescharacteristic
148#16837280C2211yescharacteristic
149#16837280C2211yescharacteristic
150#16837280C2211yescharacteristic, complemented
151#16837280C2211yescharacteristic, complemented
152#16837280C2211yescharacteristic, complemented
153#16837280C2211yescharacteristic, complemented
154#16837280C2211yescharacteristic, complemented
155#16837280C2211yescharacteristic, complemented
156#16837279C2211yescharacteristic
157#16837279C2211yescharacteristic
158#16837279C2211yescharacteristic, complemented
159#16837274C2211yescharacteristic, complemented
160#16837273C2211yescharacteristic, complemented
161#16837273C2211yescharacteristic, complemented
162#16837273C2211yescharacteristic, complemented
163#16837273C2211yescharacteristic, complemented
164#16837264C2211yescharacteristic, complemented
165#16837264C2211yescharacteristic, complemented
166#16837263C2211yescharacteristic, complemented
167#16837260C2211yescharacteristic, complemented
168#16837259C2211yescharacteristic, complemented
169#16837259C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic, complemented
171#16837257C2211yescharacteristic, complemented
172C4×Dic59⋊C4C2211yescharacteristic, complemented
173#16837247C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic
175C2×C22⋊Q8×C59C2211yescharacteristic, complemented
176C59×#400C2211yescharacteristic, complemented
177C59×#398C2211yescharacteristic, complemented
178C59×#398C2211yescharacteristic, complemented
179C59×#397C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic
181C59×#393C2211yescharacteristic, complemented
182C59×#391C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic
186C59×#385C2211yescharacteristic, complemented
187C59×#381C2211yescharacteristic, complemented
188C59×#380C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C2×#11745687—24no—
192C2×#11745687—42no—
193C2×#11745687—42no—
194C22×Dic118C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
203C22×D236C2311yescharacteristic
204C22×D236C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C22×C22⋊D59C2311yescharacteristic
212C22×C22⋊D59C2311yescharacteristic
213C22×C22⋊D59C2311yescharacteristic
214C22×C22⋊D59C2311yescharacteristic
215C22×C22⋊D59C2311yescharacteristic
216C23×Dic59C2311yescharacteristic
217C23×Dic59C2311yescharacteristic
218C22×C4×D59—24no—
219C22×C4×D59—42no—
220C22×C4×D59—42no—
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227#14273724—42no—
228#14273722—24no—
229#14273722—24no—
230#14273716—24no—
231#14273716—24no—
232#14273716—42no—
233#14273712—24no—
234#14273712—24no—
235#14273712—42no—
236#14273710—24no—
237#14273710—42no—
238#14273705—24no—
239#14273705—24no—
240#14273705—42no—
241#14273702—24no—
242#14273702—24no—
243#14273702—42no—
244#14273701—24no—
245#14273701—42no—
246#14273700—24no—
247#14273700—24no—
248#14273700—42no—
249#14273697—24no—
250#14273697—24no—
251#14273697—24no—
252#14273697—42no—
253#14273697—42no—
254#14273697—42no—
255#14273697—42no—
256#14273697—42no—
257#14273695—24no—
258#14273695—42no—
259#14273689—24no—
260#14273689—24no—
261(C22⋊D59)⋊C4—24no—
262(C22⋊D59)⋊C4—24no—
263(C22⋊D59)⋊C4D418yescomplemented
264#14273683—24no—
265C2×C4⋊Dic59C2311yescharacteristic
266C2×C4⋊Dic59C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C2×Dic59⋊C4C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×(C2×D59)⋊C4—24no—
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2311yescharacteristic
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C2311yescharacteristic
325C2×(C2×D59)⋊C4C2311yescharacteristic
326C2×(C2×D59)⋊C4C2311yescharacteristic
327C2×(C2×D59)⋊C4C2311yescharacteristic
328C2×(C2×D59)⋊C4C2311yescharacteristic
329C2×(C2×D59)⋊C4C2311yescharacteristic
330C2×(C2×D59)⋊C4C2311yescharacteristic
331C2×(C2×D59)⋊C4C2311yescharacteristic
332C2×C4×Dic59C2311yescharacteristic
333C2×C4×Dic59C2311yescharacteristic
334C2×C4×Dic59C2311yescharacteristic
335C2×C4×Dic59C2311yescharacteristic
336C2×C4×Dic59C2311yescharacteristic
337C2×C4×Dic59C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×Q8×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358#123×C59—24no—
359C22⋊Q8×C59—24no—
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C42×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C23×D59—22no—
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—41no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59—41no—
402C23×D59—41no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59—41no—
407C23×D59C2411yescharacteristic
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C23×D59C2411yescharacteristic
412C23×D59C2411yescharacteristic
413C2×Q8×C59—22no—
414C2×Q8×C59—41no—
415C2×Q8×C59—41no—
416C2×D4×C59—22no—
417C2×D4×C59—22no—
418C2×D4×C59—41no—
419C22×C4×C59—22no—
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—41no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59—41no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59—41no—
459C2×C22⋊D59—41no—
460C2×C22⋊D59—41no—
461C2×C22⋊D59C2×D414yes—
462C22×Dic59—22no—
463C22×Dic59—22no—
464C22×Dic59—22no—
465C22×Dic59—41no—
466C22×Dic59—41no—
467C22×Dic59C2×D414yes—
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478#11745687—416no—
479C2×D236—22no—
480C2×D236—22no—
481C2×D236—22no—
482C2×D236—22no—
483C2×D236—22no—
484C2×D236—22no—
485C2×D236—22no—
486C2×D236—22no—
487C2×D236—22no—
488C2×D236—22no—
489C2×D236—22no—
490C2×D236—41no—
491C2×D236—41no—
492C2×D236—41no—
493C2×D236—41no—
494C2×D236—41no—
495C2×D236—41no—
496C2×D236—41no—
497C2×D236—41no—
498C2×D236—41no—
499C2×D236—41no—
500C2×D236—41no—
501C2×D236—41no—
502C2×D236—41no—
503C2×D236—41no—
504C2×D236—41no—
505C2×D236—41no—
506C2×D236—41no—
507C2×D236—41no—
508C2×D236—41no—
509C2×D236—41no—
510C2×D236—41no—
511C2×D236—41no—
512C2×D236—41no—
513C2×D236—41no—
514C2×D236—41no—
515C2×D236—41no—
516C2×D236—41no—
517C2×D236—41no—
518C2×C4×D59—22no—
519C2×C4×D59—22no—
520C2×C4×D59—22no—
521C2×C4×D59—22no—
522C2×C4×D59—22no—
523C2×C4×D59—22no—
524C2×C4×D59—22no—
525C2×C4×D59—41no—
526C2×C4×D59—41no—
527C2×C4×D59—41no—
528C2×C4×D59—41no—
529C2×C4×D59—41no—
530C2×C4×D59—41no—
531C2×C4×D59—41no—
532C2×C4×D59—41no—
533C2×C4×D59—416no—
534C2×C4×D59—41no—
535C2×C4×D59—41no—
536C2×C4×D59C2×D414yes—
537C2×Dic118—22no—
538C2×Dic118—22no—
539C2×Dic118—41no—
540C4⋊C4×C59—22no—
541C4⋊C4×C59—22no—
542C4⋊C4×C59—22no—
543C4⋊C4×C59—22no—
544C4⋊C4×C59—22no—
545C4⋊C4×C59—41no—
546C4⋊C4×C59—41no—
547C4⋊C4×C59—41no—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—22no—
550C22⋊C4×C59—22no—
551C22⋊C4×C59—22no—
552C22⋊C4×C59—41no—
553C22⋊C4×C59—41no—
554C22⋊C4×C59—41no—
555C22⋊C4×C59—41no—
556C22⋊C4×C59—41no—
557C22⋊C4×C59C2×D414yes—
558C42×C59—41no—
559C22⋊Dic59—22no—
560C22⋊Dic59—41no—
561C22⋊Dic59—41no—
562C22⋊Dic59—41no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—22no—
568(C2×D59)⋊C4—22no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—22no—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—22no—
575(C2×D59)⋊C4—22no—
576(C2×D59)⋊C4—22no—
577(C2×D59)⋊C4—22no—
578(C2×D59)⋊C4—22no—
579(C2×D59)⋊C4—22no—
580(C2×D59)⋊C4—22no—
581(C2×D59)⋊C4—22no—
582(C2×D59)⋊C4—22no—
583(C2×D59)⋊C4—22no—
584(C2×D59)⋊C4—22no—
585(C2×D59)⋊C4—41no—
586(C2×D59)⋊C4—41no—
587(C2×D59)⋊C4—41no—
588(C2×D59)⋊C4—41no—
589(C2×D59)⋊C4—41no—
590(C2×D59)⋊C4—41no—
591(C2×D59)⋊C4—41no—
592(C2×D59)⋊C4—41no—
593(C2×D59)⋊C4—41no—
594(C2×D59)⋊C4—41no—
595(C2×D59)⋊C4—41no—
596(C2×D59)⋊C4—41no—
597(C2×D59)⋊C4—41no—
598(C2×D59)⋊C4—41no—
599(C2×D59)⋊C4—41no—
600(C2×D59)⋊C4—41no—
601(C2×D59)⋊C4—41no—
602(C2×D59)⋊C4—41no—
603(C2×D59)⋊C4—41no—
604(C2×D59)⋊C4—41no—
605(C2×D59)⋊C4—41no—
606(C2×D59)⋊C4—41no—
607(C2×D59)⋊C4—41no—
608(C2×D59)⋊C4C2×D414yes—
609C4⋊Dic59—22no—
610C4⋊Dic59—41no—
611Dic59⋊C4—22no—
612Dic59⋊C4—22no—
613Dic59⋊C4—22no—
614Dic59⋊C4—22no—
615Dic59⋊C4—22no—
616Dic59⋊C4—41no—
617Dic59⋊C4—41no—
618Dic59⋊C4—41no—
619Dic59⋊C4—41no—
620Dic59⋊C4—41no—
621Dic59⋊C4—41no—
622Dic59⋊C4—41no—
623Dic59⋊C4—41no—
624Dic59⋊C4C2×D414yes—
625C4×Dic59—22no—
626C4×Dic59—22no—
627C4×Dic59—41no—
628C4×Dic59—41no—
629C4×Dic59—41no—
630C4×Dic59C2×D414yes—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59C22×D412yes—
644C23×C59H(5,𝔽2)12yes—
645C23×C59C2511yescharacteristic
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—21no—
672C22×D59—21no—
673C22×D59—21no—
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—21no—
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—21no—
685C22×D59—21no—
686C22×D59—44no—
687C22×D59—44no—
688C22×D59—44no—
689C22×D59—44no—
690C22×D59—44no—
691C22×D59—44no—
692C22×D59—44no—
693C22×D59—44no—
694C22×D59—82no—
695C22×D59—82no—
696C22×D59—82no—
697C22×D59—82no—
698C22×D59—82no—
699C22×D59—82no—
700C22×D59C22×D412yes—
701C22×D59H(5,𝔽2)12yes—
702Q8×C59—82no—
703D4×C59—44no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—44no—
742C2×C4×C59—82no—
743C2×C4×C59C22×D412yes—
744C2×C4×C59C22×D412yes—
745C22⋊D59—44no—
746C22⋊D59—44no—
747C22⋊D59—44no—
748C22⋊D59—44no—
749C22⋊D59—44no—
750C22⋊D59—82no—
751C22⋊D59—82no—
752C22⋊D59—82no—
753C2×Dic59—28no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—44no—
781C2×Dic59C22×D412yes—
782C2×Dic59C22×D412yes—
783C2×Dic59C22×D412yes—
784C2×Dic59H(5,𝔽2)12yes—
785D236—44no—
786D236—44no—
787D236—82no—
788D236—82no—
789D236—82no—
790D236—82no—
791D236—82no—
792D236—82no—
793D236—82no—
794D236—82no—
795D236—82no—
796D236—82no—
797D236—82no—
798C4×D59—44no—
799C4×D59—44no—
800C4×D59—44no—
801C4×D59—44no—
802C4×D59—44no—
803C4×D59—82no—
804Dic118—44no—
805#36724—591nomaximal, Sylow
806C22×C59—22no—
807C22×C59—22no—
808C22×C59—22no—
809C22×C59—22no—
810C22×C59—22no—
811C22×C59—22no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59C23×D411yescharacteristic
821C22×C59C2×H(5,𝔽2)11yescharacteristic
822C22×C59C2×H(5,𝔽2)11yescharacteristic
823C22×C59C2×H(5,𝔽2)11yescharacteristic
824C22×C59#58511yescharacteristic
825C22×C59#58511yescharacteristic
826C22×C59#58511yescharacteristic
827C2×D59—22no—
828C2×D59—22no—
829C2×D59—22no—
830C2×D59—22no—
831C2×D59—22no—
832C2×D59—22no—
833C2×D59—416no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—88no—
871C4×C59—22no—
872C4×C59—22no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59—41no—
880C4×C59—41no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884Dic59—22no—
885Dic59—22no—
886Dic59—22no—
887Dic59—22no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891Dic59—41no—
892Dic59—41no—
893Dic59—41no—
894C2×#538—591no—
895C2×#525—591no—
896#2849—591no—
897#2847—591no—
898#2705—591no—
899#2702—591no—
900#2700—591no—
901#2699—591no—
902#2687D5911yescharacteristic, complemented
903#2682—591no—
904#2681—591no—
905#2681—591no—
906#2679—591no—
907#2678—591no—
908#2678—591no—
909#2678—591no—
910#2672—591no—
911#2670—591no—
912#2669—591no—
913#2669—591no—
914#2635—591no—
915#2630—591no—
916#2610—591no—
917#2603—591no—
918#2601—591no—
919#2600—591no—
920#2544—591no—
921#2534—591no—
922#2407—591no—
923#2404—591no—
924#2319—591no—
925C2×C59—42no—
926C2×C59—42no—
927C2×C59#344911yescharacteristic
928C2×C59#348411yescharacteristic
929C2×C59#348811yescharacteristic
930C2×C59#353311yescharacteristic
931C2×C59#353411yescharacteristic
932C2×C59#354011yescharacteristic
933C2×C59#354211yescharacteristic
934D59—42no—
935D59—42no—
936D59—81no—
937D59—81no—
938D59—81no—
939D59—81no—
940C22×#41—591no—
941C24×C4—591no—
942#538—1188no—
943C2×#127—591no—
944C2×#126—591no—
945C2×#126—591no—
946C2×#124—591no—
947C2×#124—591no—
948C2×#124—591no—
949#525—1188no—
950C2×#123—591no—
951C2×#123—591no—
952C2×#123—591no—
953C2×#123—591no—
954C2×#123—591no—
955C2×#123C2×D5911yescharacteristic
956C2×C22⋊Q8—591no—
957C2×C22⋊Q8—591no—
958C2×C22⋊Q8—591no—
959C2×C22⋊Q8C2×D5911yescharacteristic, complemented
960C2×#121—591no—
961C2×#121—591no—
962C2×#121—591no—
963C2×#121—591no—
964C2×#121—591no—
965C2×#121—591no—
966C2×#121—591no—
967C2×#121—591no—
968C2×#120—591no—
969C2×#120—591no—
970C2×#120—591no—
971C2×#120—591no—
972C2×#120—591no—
973C2×#120—591no—
974C2×#120—591no—
975C2×#120—591no—
976C2×#120—591no—
977C2×#120—591no—
978C2×C4×D4—591no—
979C2×C4×D4—591no—
980C2×C4×D4—591no—
981C2×C4×D4—591no—
982C2×C4×D4—591no—
983C2×#117—591no—
984C22×C22⋊C4—591no—
985#400C2×D5911yescharacteristic, complemented
986#399—591no—
987#398—591no—
988#398C2×D5911yescharacteristic, complemented
989#398C2×D5911yescharacteristic, complemented
990#397—591no—
991#397—591no—
992#397C2×D5911yescharacteristic, complemented
993#396—591no—
994#396—591no—
995#396—591no—
996#396—591no—
997#396—591no—
998#396—591no—
999#395—591no—
1000#394—591no—
1001#394—591no—
1002#394—591no—
1003#394—591no—
1004#394—591no—
1005#394—591no—
1006#394—591no—
1007#394—591no—
1008#394—591no—
1009#394—591no—
1010#394—591no—
1011#394—591no—
1012#394—591no—
1013#394—591no—
1014#394—591no—
1015#394—591no—
1016#394—591no—
1017#394—591no—
1018#394C2×D5911yescharacteristic
1019#393—591no—
1020#393—591no—
1021#393C2×D5911yescharacteristic, complemented
1022#392—591no—
1023#392—591no—
1024#392—591no—
1025#392—591no—
1026#392—591no—
1027#392—591no—
1028#392—591no—
1029#392—591no—
1030#392—591no—
1031#392—591no—
1032#392—591no—
1033#391—591no—
1034#391C2×D5911yescharacteristic, complemented
1035#390—591no—
1036#390—591no—
1037#390—591no—
1038#390—591no—
1039#390—591no—
1040#390—591no—
1041#390—591no—
1042#390—591no—
1043#390—591no—
1044#389—591no—
1045#389—591no—
1046#389—591no—
1047#388—591no—
1048#388—591no—
1049#388—591no—
1050#388—591no—
1051#388—591no—
1052#388—591no—
1053#388—591no—
1054#388—591no—
1055#388—591no—
1056#388—591no—
1057#388—591no—
1058#388—591no—
1059#388C2×D5911yescharacteristic, complemented
1060#388C2×D5911yescharacteristic, complemented
1061#387—591no—
1062#387—591no—
1063#386—591no—
1064#386—591no—
1065#386—591no—
1066#386—591no—
1067#386—591no—
1068#386—591no—
1069#386—591no—
1070#386—591no—
1071#386—591no—
1072#386—591no—
1073#386—591no—
1074#386—591no—
1075#386—591no—
1076#386—591no—
1077#386—591no—
1078#386C2×D5911yescharacteristic
1079#385—591no—
1080#385—591no—
1081#385—591no—
1082#385—591no—
1083#385—591no—
1084#385C2×D5911yescharacteristic, complemented
1085#381—591no—
1086#381—591no—
1087#381—591no—
1088#381C2×D5911yescharacteristic, complemented
1089#380—591no—
1090#380—591no—
1091#380—591no—
1092#380C2×D5911yescharacteristic, complemented
1093#379—591no—
1094#379—591no—
1095C4×C4⋊C4—591no—
1096#376—591no—
1097C59#3672411yescharacteristic, complemented, Sylow
1098C25—591no—
1099C25—591no—
1100C2×#41—1184no—
1101C2×#41—2362no—
1102C2×#41—2362no—
1103C22×Q8—591no—
1104C22×Q8C22×D5911yescharacteristic
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—591no—
1111C22×D4—591no—
1112C22×D4—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4—591no—
1119C22×D4—591no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—591no—
1126C22×D4C22×D5911yescharacteristic
1127C23×C4—591no—
1128C23×C4—591no—
1129C23×C4—591no—
1130C23×C4—591no—
1131C23×C4—591no—
1132C23×C4—591no—
1133C23×C4—591no—
1134C23×C4—591no—
1135C23×C4—1184no—
1136C23×C4—2362no—
1137C23×C4—2362no—
1138C23×C4C22×D5911yescharacteristic
1139C23×C4C22×D5911yescharacteristic
1140#127—2362no—
1141#126—1184no—
1142#126—1184no—
1143#124—1184no—
1144#124—1184no—
1145#124—2362no—
1146#123—24no—
1147#123—1184no—
1148#123—1184no—
1149#123—1184no—
1150#123—2362no—
1151#123—2362no—
1152C22⋊Q8—24no—
1153C22⋊Q8—1184no—
1154C22⋊Q8—1184no—
1155C22⋊Q8—2362no—
1156#121—1184no—
1157#121—1184no—
1158#121—1184no—
1159#121—1184no—
1160#121—1184no—
1161#121—2362no—
1162#121—2362no—
1163#121—2362no—
1164#120—1184no—
1165#120—1184no—
1166#120—1184no—
1167#120—1184no—
1168#120—2362no—
1169#120—2362no—
1170#120—2362no—
1171#120—2362no—
1172#120—2362no—
1173#120—2362no—
1174C4×D4—598no—
1175C4×D4—1184no—
1176C4×D4—1184no—
1177C4×D4—1184no—
1178C4×D4—1184no—
1179#117—1184no—
1180C2×C4⋊C4—591no—
1181C2×C4⋊C4—591no—
1182C2×C4⋊C4—591no—
1183C2×C4⋊C4—591no—
1184C2×C4⋊C4—591no—
1185C2×C4⋊C4—591no—
1186C2×C4⋊C4—591no—
1187C2×C4⋊C4—591no—
1188C2×C4⋊C4—591no—
1189C2×C4⋊C4—591no—
1190C2×C4⋊C4—591no—
1191C2×C4⋊C4—591no—
1192C2×C4⋊C4—591no—
1193C2×C4⋊C4—591no—
1194C2×C4⋊C4—591no—
1195C2×C4⋊C4—591no—
1196C2×C4⋊C4C22×D5911yescharacteristic
1197C2×C4⋊C4C22×D5911yescharacteristic
1198C2×C4⋊C4C22×D5911yescharacteristic
1199C2×C4⋊C4C22×D5911yescharacteristic
1200C2×C4⋊C4C22×D5911yescharacteristic
1201C2×C4⋊C4C22×D5911yescharacteristic
1202C2×C4⋊C4C22×D5911yescharacteristic
1203C2×C4⋊C4C22×D5911yescharacteristic
1204C2×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—591no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—591no—
1221C2×C22⋊C4—591no—
1222C2×C22⋊C4—591no—
1223C2×C22⋊C4—591no—
1224C2×C22⋊C4—591no—
1225C2×C22⋊C4—591no—
1226C2×C22⋊C4—591no—
1227C2×C22⋊C4—591no—
1228C2×C22⋊C4—591no—
1229C2×C22⋊C4—591no—
1230C2×C22⋊C4—591no—
1231C2×C22⋊C4—591no—
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4—591no—
1244C2×C22⋊C4—591no—
1245C2×C22⋊C4—591no—
1246C2×C22⋊C4—591no—
1247C2×C22⋊C4—591no—
1248C2×C22⋊C4—591no—
1249C2×C22⋊C4—591no—
1250C2×C22⋊C4—591no—
1251C2×C22⋊C4—591no—
1252C2×C22⋊C4—591no—
1253C2×C22⋊C4—591no—
1254C2×C22⋊C4—1184no—
1255C2×C22⋊C4C22×D5911yescharacteristic
1256C2×C22⋊C4C22×D5911yescharacteristic
1257C2×C22⋊C4C22×D5911yescharacteristic
1258C2×C22⋊C4C22×D5911yescharacteristic
1259C2×C22⋊C4C22×D5911yescharacteristic
1260C2×C22⋊C4C22×D5911yescharacteristic
1261C2×C22⋊C4C22×D5911yescharacteristic
1262C2×C22⋊C4C22×D5911yescharacteristic
1263C2×C22⋊C4C22×D5911yescharacteristic
1264C2×C22⋊C4C22×D5911yescharacteristic
1265C2×C42—591no—
1266C2×C42—591no—
1267C2×C42—591no—
1268C2×C42—591no—
1269C2×C42—591no—
1270C2×C42—591no—
1271C2×C42C22×D5911yescharacteristic
1272#95—591no—
1273#95—591no—
1274#95—591no—
1275#95—591no—
1276#95—591no—
1277#95—591no—
1278#95—591no—
1279#95—591no—
1280#95—591no—
1281#95—591no—
1282#95—591no—
1283#95—591no—
1284#95—591no—
1285#95—591no—
1286#95—591no—
1287#95—591no—
1288#95C22×D5911yescharacteristic
1289#95C22×D5911yescharacteristic
1290#95C22×D5911yescharacteristic
1291#95C22×D5911yescharacteristic
1292#95C22×D5911yescharacteristic
1293#95C22×D5911yescharacteristic
1294#95C22×D5911yescharacteristic
1295#95C22×D5911yescharacteristic
1296#95C22×D5911yescharacteristic
1297#95C22×D5911yescharacteristic
1298#95C22×D5911yescharacteristic
1299#95C22×D5911yescharacteristic
1300C24—591no—
1301C24—591no—
1302C24—591no—
1303C24—591no—
1304C24—591no—
1305C24—591no—
1306C24—1182no—
1307C24—1182no—
1308C24—1182no—
1309C24—1182no—
1310C24—2361no—
1311C24—2361no—
1312C24—2361no—
1313C24—2361no—
1314C24—2361no—
1315C24—2361no—
1316C24—2361no—
1317C24—2361no—
1318C24—2361no—
1319C24—2361no—
1320C24C23×D5911yescharacteristic
1321C24C23×D5911yescharacteristic
1322#41—23616no—
1323C2×Q8—22no—
1324C2×Q8—41no—
1325C2×Q8—41no—
1326C2×Q8—1182no—
1327C2×Q8—1182no—
1328C2×Q8—2361no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—41no—
1332C2×D4—594no—
1333C2×D4—1182no—
1334C2×D4—1182no—
1335C2×D4—1182no—
1336C2×D4—1182no—
1337C2×D4—1182no—
1338C2×D4—1182no—
1339C2×D4—1182no—
1340C2×D4—1182no—
1341C2×D4—1182no—
1342C2×D4—1182no—
1343C2×D4—1182no—
1344C2×D4—1182no—
1345C2×D4—1182no—
1346C2×D4—1182no—
1347C2×D4—1182no—
1348C2×D4—1182no—
1349C2×D4—1182no—
1350C2×D4—1182no—
1351C2×D4—1182no—
1352C2×D4—1182no—
1353C2×D4—1182no—
1354C2×D4—2361no—
1355C2×D4—2361no—
1356C2×D4—2361no—
1357C2×D4—2361no—
1358C2×D4—2361no—
1359C2×D4—2361no—
1360C2×D4—2361no—
1361C2×D4—2361no—
1362C2×D4—2361no—
1363C2×D4—2361no—
1364C2×D4—2361no—
1365C2×D4—2361no—
1366C2×D4—2361no—
1367C2×D4—2361no—
1368C2×D4—2361no—
1369C2×D4—2361no—
1370C2×D4—2361no—
1371C2×D4—2361no—
1372C2×D4—2361no—
1373C2×D4—2361no—
1374C2×D4—2361no—
1375C2×D4—2361no—
1376C2×D4—2361no—
1377C2×D4—2361no—
1378C2×D4—2361no—
1379C2×D4—2361no—
1380C2×D4—2361no—
1381C2×D4—2361no—
1382C2×D4—2361no—
1383C2×D4—2361no—
1384C2×D4—2361no—
1385C2×D4—2361no—
1386C2×D4—2361no—
1387C2×D4—2361no—
1388C2×D4—2361no—
1389C2×D4—2361no—
1390C2×D4—2361no—
1391C2×D4—2361no—
1392C2×D4—2361no—
1393C2×D4—2361no—
1394C2×D4—2361no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—594no—
1406C22×C4—594no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—591no—
1411C22×C4—591no—
1412C22×C4—591no—
1413C22×C4—1182no—
1414C22×C4—1182no—
1415C22×C4—1182no—
1416C22×C4—1182no—
1417C22×C4—1182no—
1418C22×C4—1182no—
1419C22×C4—1182no—
1420C22×C4—1182no—
1421C22×C4—1182no—
1422C22×C4—1182no—
1423C22×C4—2361no—
1424C22×C4—2361no—
1425C22×C4—2361no—
1426C22×C4—2361no—
1427C22×C4—2361no—
1428C22×C4—2361no—
1429C22×C4—2361no—
1430C22×C4—2361no—
1431C22×C4—2361no—
1432C22×C4—2361no—
1433C22×C4—23616no—
1434C22×C4—2361no—
1435C22×C4—2361no—
1436C22×C4C23×D5911yescharacteristic
1437C22×C4C23×D5911yescharacteristic
1438C22×C4C23×D5911yescharacteristic
1439C22×C4C23×D5911yescharacteristic
1440C22×C4C23×D5911yescharacteristic
1441C22×C4C23×D5911yescharacteristic
1442C22×C4C23×D5911yescharacteristic
1443C22×C4C23×D5911yescharacteristic
1444C22×C4C23×D5911yescharacteristic
1445C22×C4C23×D5911yescharacteristic
1446C22×C4C23×D5911yescharacteristic
1447C22×C4C23×D5911yescharacteristic
1448C22×C4C23×D5911yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—594no—
1458C4⋊C4—1182no—
1459C4⋊C4—1182no—
1460C4⋊C4—1182no—
1461C4⋊C4—1182no—
1462C4⋊C4—1182no—
1463C4⋊C4—1182no—
1464C4⋊C4—2361no—
1465C4⋊C4—2361no—
1466C4⋊C4—2361no—
1467C4⋊C4—2361no—
1468C4⋊C4—2361no—
1469C4⋊C4—2361no—
1470C4⋊C4—2361no—
1471C4⋊C4—2361no—
1472C4⋊C4—2361no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—594no—
1483C22⋊C4—1182no—
1484C22⋊C4—1182no—
1485C22⋊C4—1182no—
1486C22⋊C4—1182no—
1487C22⋊C4—1182no—
1488C22⋊C4—1182no—
1489C22⋊C4—1182no—
1490C22⋊C4—1182no—
1491C22⋊C4—1182no—
1492C22⋊C4—1182no—
1493C22⋊C4—1182no—
1494C22⋊C4—1182no—
1495C22⋊C4—1182no—
1496C22⋊C4—1182no—
1497C22⋊C4—1182no—
1498C22⋊C4—1182no—
1499C22⋊C4—1182no—
1500C22⋊C4—1182no—
1501C22⋊C4—1182no—
1502C22⋊C4—1182no—
1503C22⋊C4—1182no—
1504C22⋊C4—1182no—
1505C22⋊C4—1182no—
1506C22⋊C4—2361no—
1507C22⋊C4—2361no—
1508C22⋊C4—2361no—
1509C22⋊C4—2361no—
1510C22⋊C4—2361no—
1511C22⋊C4—2361no—
1512C22⋊C4—2361no—
1513C22⋊C4—2361no—
1514C22⋊C4—2361no—
1515C22⋊C4—2361no—
1516C22⋊C4—2361no—
1517C22⋊C4—2361no—
1518C22⋊C4—2361no—
1519C22⋊C4—2361no—
1520C22⋊C4—2361no—
1521C22⋊C4—2361no—
1522C22⋊C4—2361no—
1523C22⋊C4—2361no—
1524C22⋊C4—2361no—
1525C22⋊C4—2361no—
1526C22⋊C4—2361no—
1527C22⋊C4—2361no—
1528C22⋊C4—2361no—
1529C22⋊C4—2361no—
1530C22⋊C4—2361no—
1531C22⋊C4—2361no—
1532C22⋊C4D4×D5914yes—
1533C42—41no—
1534C42—594no—
1535C42—1182no—
1536C42—1182no—
1537C42—2361no—
1538C42—2361no—
1539C42—2361no—
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—592no—
1553C23—592no—
1554C23—1181no—
1555C23—1181no—
1556C23—1181no—
1557C23—1181no—
1558C23—1181no—
1559C23—1181no—
1560C23—1181no—
1561C23—1181no—
1562C23—1181no—
1563C23—1181no—
1564C23—1181no—
1565C23—1181no—
1566C23—1181no—
1567C23—1181no—
1568C23—1181no—
1569C23—1181no—
1570C23—1181no—
1571C23—1181no—
1572C23—1181no—
1573C23—1181no—
1574C23—1181no—
1575C23—1181no—
1576C23—1181no—
1577C23—1181no—
1578C23—1181no—
1579C23—1181no—
1580C23—1181no—
1581C23—1181no—
1582C23—1181no—
1583C23—1181no—
1584C23—1181no—
1585C23—1181no—
1586C23—1181no—
1587C23—1181no—
1588C23—1181no—
1589C23—1181no—
1590C23—1181no—
1591C23—1181no—
1592C23—1181no—
1593C23—1181no—
1594C23—4722no—
1595C23—4722no—
1596C23—4722no—
1597C23—4722no—
1598C23—4722no—
1599C23—4722no—
1600C23—2364no—
1601C23—2364no—
1602C23—2364no—
1603C23—2364no—
1604C23—2364no—
1605C23—2364no—
1606C23—2364no—
1607C23—2364no—
1608C23C2×D4×D5912yes—
1609C23#1427377312yes—
1610C23C24×D5911yescharacteristic
1611Q8—82no—
1612Q8—2364no—
1613D4—44no—
1614D4—4722no—
1615D4—4722no—
1616D4—4722no—
1617D4—4722no—
1618D4—4722no—
1619D4—4722no—
1620D4—4722no—
1621D4—4722no—
1622D4—4722no—
1623D4—4722no—
1624D4—4722no—
1625D4—4722no—
1626D4—4722no—
1627D4—4722no—
1628D4—2364no—
1629D4—2364no—
1630D4—2364no—
1631D4—2364no—
1632D4—2364no—
1633D4—2364no—
1634D4—2364no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—44no—
1673C2×C4—82no—
1674C2×C4—592no—
1675C2×C4—592no—
1676C2×C4—592no—
1677C2×C4—592no—
1678C2×C4—1188no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—4722no—
1706C2×C4—2364no—
1707C2×C4—2364no—
1708C2×C4—2364no—
1709C2×C4—2364no—
1710C2×C4—2364no—
1711C2×C4—2364no—
1712C2×C4C2×D4×D5912yes—
1713C2×C4C2×D4×D5912yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—1182no—
1729C22—1182no—
1730C22—1182no—
1731C22—1182no—
1732C22—1182no—
1733C22—1182no—
1734C22—4728no—
1735C22—23616no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22—2361no—
1740C22—2361no—
1741C22—2361no—
1742C22—2361no—
1743C22—2361no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22—2361no—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22—2361no—
1770C22—2361no—
1771C22—2361no—
1772C22C22×D4×D5911yescharacteristic
1773C22H(5,𝔽2)×D5911yescharacteristic
1774C22H(5,𝔽2)×D5911yescharacteristic
1775C22C2×#1427377311yescharacteristic
1776C22#1683823811yescharacteristic
1777C22#1683823911yescharacteristic
1778C22#1683823911yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—1182no—
1793C4—1182no—
1794C4—1182no—
1795C4—1182no—
1796C4—2361no—
1797C4—2361no—
1798C4—2361no—
1799C4—2361no—
1800C4—2361no—
1801C4—2361no—
1802C2—42no—
1803C2—42no—
1804C2—4721no—
1805C2—4721no—
1806C2—4721no—
1807C2—4721no—
1808C2—2362no—
1809C2—2362no—
1810C2#2143742811yescharacteristic
1811C2#2143772611yescharacteristic
1812C2#2143775911yescharacteristic
1813C2#2143826211yescharacteristic
1814C2#2143828411yescharacteristic
1815C2#2143836111yescharacteristic
1816C2#2143840911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2687C2
hypercenter#2687D59
hypocenterC59#36724
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2687

Complements

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

NH ≅ G/Ntype
1. C2×#16837992C2semidirect
2. C2×#16837910C2semidirect
3. #21432391C2semidirect
4. #21432379C2semidirect
5. #21430769C2semidirect
6. #21430726C2semidirect
7. #21430691C2semidirect
8. #21430683C2semidirect
9. #21430462C2semidirect
10. #21430441C2semidirect
11. #21430441C2semidirect
12. #21430429C2semidirect
13. #21430422C2semidirect
14. #21430420C2semidirect
15. #21430415C2semidirect
16. #21430343C2semidirect
17. #21430316C2semidirect
18. #21430311C2semidirect
19. #21430311C2semidirect
20. #21429989C2semidirect
21. #21429946C2semidirect
22. #21429784C2semidirect
23. #21429724C2semidirect
24. #21429698C2semidirect
25. #21429684C2semidirect
26. #21429069C2semidirect
27. #21428991C2semidirect
28. #21427436C2semidirect
29. #21427414C2semidirect
30. #21426737C2semidirect
31. C59×#2687C2semidirect
33. C23×C4×D59C22semidirect
36. C2×#14273722C22semidirect
37. C2×#14273722C22semidirect
39. C2×#14273716C22semidirect
40. C2×#14273716C22semidirect
44. C2×#14273712C22semidirect
46. C2×#14273710C22semidirect
47. C2×#14273705C22semidirect
48. C2×#14273705C22semidirect
49. C2×#14273705C22semidirect
57. C2×#14273700C22semidirect
62. C2×#14273697C22semidirect
63. C2×#14273697C22semidirect
64. C2×#14273697C22semidirect
65. C2×#14273697C22semidirect
68. C2×#14273689C22semidirect
69. C2×#14273689C22semidirect
72. C2×(C22⋊D59)⋊C4C22semidirect
73. C2×#14273683C22semidirect
74. C22×(C2×D59)⋊C4C22semidirect
75. #16837337C22semidirect
76. #16837336C22semidirect
77. #16837331C22semidirect
78. #16837328C22semidirect
79. #16837326C22semidirect
80. #16837326C22semidirect
81. #16837326C22semidirect
82. #16837325C22semidirect
83. #16837324C22semidirect
84. #16837324C22semidirect
85. #16837321C22semidirect
90. #16837320C22semidirect
91. #16837320C22semidirect
92. #16837320C22semidirect
93. #16837320C22semidirect
94. #16837320C22semidirect
95. #16837320C22semidirect
97. #16837319C22semidirect
98. #16837319C22semidirect
99. #16837319C22semidirect
102. #16837317C22semidirect
103. #16837317C22semidirect
104. #16837315C22semidirect
105. #16837315C22semidirect
109. #16837312C22semidirect
110. #16837312C22semidirect
115. #16837311C22semidirect
117. #16837306C22semidirect
119. #16837303C22semidirect
120. #16837303C22semidirect
125. #16837302C22semidirect
126. #16837302C22semidirect
127. #16837299C22semidirect
128. #16837297C22semidirect
129. #16837297C22semidirect
130. #16837295C22semidirect
131. #16837294C22semidirect
132. #16837294C22semidirect
133. #16837293C22semidirect
134. #16837293C22semidirect
135. #16837291C22semidirect
136. #16837291C22semidirect
137. #16837291C22semidirect
138. #16837291C22semidirect
139. #16837291C22semidirect
140. #16837291C22semidirect
141. #16837291C22semidirect
142. #16837284C22semidirect
143. #16837284C22semidirect
145. #16837281C22semidirect
150. #16837280C22semidirect
151. #16837280C22semidirect
152. #16837280C22semidirect
153. #16837280C22semidirect
154. #16837280C22semidirect
155. #16837280C22semidirect
158. #16837279C22semidirect
159. #16837274C22semidirect
160. #16837273C22semidirect
161. #16837273C22semidirect
162. #16837273C22semidirect
163. #16837273C22semidirect
164. #16837264C22semidirect
165. #16837264C22semidirect
166. #16837263C22semidirect
167. #16837260C22semidirect
168. #16837259C22semidirect
169. #16837259C22semidirect
170. #16837257C22semidirect
171. #16837257C22semidirect
172. C4×Dic59⋊C4C22semidirect
173. #16837247C22semidirect
175. C2×C22⋊Q8×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#398C22semidirect
178. C59×#398C22semidirect
179. C59×#397C22semidirect
181. C59×#393C22semidirect
182. C59×#391C22semidirect
183. C59×#388C22semidirect
184. C59×#388C22semidirect
186. C59×#385C22semidirect
187. C59×#381C22semidirect
188. C59×#380C22semidirect
263. (C22⋊D59)⋊C4D4semidirect
902. #2687D59semidirect
959. C2×C22⋊Q8C2×D59semidirect
985. #400C2×D59semidirect
988. #398C2×D59semidirect
989. #398C2×D59semidirect
992. #397C2×D59semidirect
1021. #393C2×D59semidirect
1034. #391C2×D59semidirect
1059. #388C2×D59semidirect
1060. #388C2×D59semidirect
1084. #385C2×D59semidirect
1088. #381C2×D59semidirect
1092. #380C2×D59semidirect
1097. C59#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#168379922
C2×#168379102
#214323912
#214323792
#214307692
#214307262
#214306912
#214306832
#214304622
#214304412
#214304292
#214304222
#214304202
#214304152
#214303432
#214303162
#214303112
#214299892
#214299462
#214297842
#214297242
#214296982
#214296842
#214290692
#214289912
#214274362
#214274142
#214267372
C59×#26872
#3672459