Finite Group Databasebeta

← #28797605

Subgroups — #28797605

Order 15104.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432411C211yesmaximal, characteristic, complemented
2#21432071C211yesmaximal, characteristic, complemented
3#21432026C211yesmaximal, characteristic, complemented
4#21432024C211yesmaximal, characteristic, complemented
5#21431813C211yesmaximal, characteristic, complemented
6#21431755C211yesmaximal, characteristic, complemented
7#21431726C211yesmaximal, characteristic, complemented
8#21431709C211yesmaximal, characteristic, complemented
9#21431670C211yesmaximal, characteristic, complemented
10#21431463C211yesmaximal, characteristic, complemented
11#21431418C211yesmaximal, characteristic, complemented
12#21431416C211yesmaximal, characteristic, complemented
13#21431347C211yesmaximal, characteristic, complemented
14#21431120C211yesmaximal, characteristic, complemented
15#21430907C211yesmaximal, characteristic, complemented
16#21430892C211yesmaximal, characteristic, complemented
17#21430496C211yesmaximal, characteristic, complemented
18#21429873C211yesmaximal, characteristic, complemented
19#21429836C211yesmaximal, characteristic, complemented
20#21428654C211yesmaximal, characteristic, complemented
21#21428229C211yesmaximal, characteristic, complemented
22#21427844C211yesmaximal, characteristic, complemented
23#21427768C211yesmaximal, characteristic, complemented
24#21427702C211yesmaximal, characteristic, complemented
25#21427638C211yesmaximal, characteristic, complemented
26#21427484C211yesmaximal, characteristic, complemented
27#21427414C211yesmaximal, characteristic, complemented
28#21426770C211yesmaximal, characteristic, complemented
29#21426683C211yesmaximal, characteristic, complemented
30C2×#16837293C211yesmaximal, characteristic, complemented
31C59×#2850C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C2×#14273721C2211yescharacteristic, complemented
34C2×#14273716C2211yescharacteristic
35C2×#14273708C2211yescharacteristic
36C2×#14273699C2211yescharacteristic
37C2×#14273699C2211yescharacteristic
38C2×#14273697C2211yescharacteristic
39C2×#14273695C2211yescharacteristic
40C2×#14273695C2211yescharacteristic
41C2×D4×Dic59C2211yescharacteristic
42C2×#14273683C2211yescharacteristic
43C22×Dic59⋊C4C2211yescharacteristic
44C22×(C2×D59)⋊C4C2211yescharacteristic
45C22×(C2×D59)⋊C4C2211yescharacteristic
46C22×(C2×D59)⋊C4C2211yescharacteristic
47C59⋊#401C2211yescharacteristic, complemented
48#16837343C2211yescharacteristic, complemented
49#16837342C2211yescharacteristic, complemented
50#16837340C2211yescharacteristic, complemented
51#16837335C2211yescharacteristic, complemented
52#16837335C2211yescharacteristic, complemented
53#16837331C2211yescharacteristic
54#16837331C2211yescharacteristic
55#16837331C2211yescharacteristic
56#16837331C2211yescharacteristic
57#16837330C2211yescharacteristic, complemented
58#16837330C2211yescharacteristic, complemented
59#16837329C2211yescharacteristic
60#16837329C2211yescharacteristic
61#16837329C2211yescharacteristic, complemented
62#16837328C2211yescharacteristic
63#16837327C2211yescharacteristic, complemented
64#16837326C2211yescharacteristic
65#16837326C2211yescharacteristic
66#16837324C2211yescharacteristic
67#16837322C2211yescharacteristic, complemented
68#16837321C2211yescharacteristic, complemented
69#16837320C2211yescharacteristic
70#16837320C2211yescharacteristic
71#16837319C2211yescharacteristic
72#16837319C2211yescharacteristic
73#16837318C2211yescharacteristic
74#16837318C2211yescharacteristic
75#16837318C2211yescharacteristic
76#16837318C2211yescharacteristic, complemented
77#16837317C2211yescharacteristic
78#16837317C2211yescharacteristic
79#16837317C2211yescharacteristic
80#16837317C2211yescharacteristic
81#16837317C2211yescharacteristic
82#16837317C2211yescharacteristic
83#16837317C2211yescharacteristic
84#16837317C2211yescharacteristic, complemented
85#16837315C2211yescharacteristic
86#16837315C2211yescharacteristic
87#16837314C2211yescharacteristic, complemented
88#16837313C2211yescharacteristic
89#16837311C2211yescharacteristic
90#16837311C2211yescharacteristic
91#16837311C2211yescharacteristic
92#16837311C2211yescharacteristic
93#16837310C2211yescharacteristic
94#16837310C2211yescharacteristic, complemented
95#16837309C2211yescharacteristic, complemented
96#16837306C2211yescharacteristic, complemented
97#16837306C2211yescharacteristic, complemented
98#16837303C2211yescharacteristic
99#16837302C2211yescharacteristic
100#16837302C2211yescharacteristic
101#16837302C2211yescharacteristic
102#16837302C2211yescharacteristic, complemented
103#16837302C2211yescharacteristic, complemented
104#16837299C2211yescharacteristic, complemented
105#16837299C2211yescharacteristic, complemented
106#16837298C2211yescharacteristic, complemented
107#16837296C2211yescharacteristic, complemented
108#16837294C2211yescharacteristic, complemented
109#16837293C2211yescharacteristic
110#16837293C2211yescharacteristic
111#16837293C2211yescharacteristic
112#16837293C2211yescharacteristic
113#16837293C2211yescharacteristic
114#16837293C2211yescharacteristic
115#16837293C2211yescharacteristic
116#16837293C2211yescharacteristic
117#16837293C2211yescharacteristic, complemented
118#16837293C2211yescharacteristic, complemented
119#16837293C2211yescharacteristic, complemented
120#16837292C2211yescharacteristic
121#16837292C2211yescharacteristic
122#16837292C2211yescharacteristic
123#16837291C2211yescharacteristic
124#16837291C2211yescharacteristic
125#16837290C2211yescharacteristic, complemented
126#16837290C2211yescharacteristic, complemented
127#16837290C2211yescharacteristic, complemented
128#16837287C2211yescharacteristic, complemented
129#16837286C2211yescharacteristic, complemented
130#16837286C2211yescharacteristic, complemented
131#16837286C2211yescharacteristic, complemented
132#16837284C2211yescharacteristic, complemented
133#16837284C2211yescharacteristic, complemented
134#16837284C2211yescharacteristic, complemented
135#16837283C2211yescharacteristic, complemented
136#16837283C2211yescharacteristic, complemented
137#16837282C2211yescharacteristic
138#16837282C2211yescharacteristic
139#16837282C2211yescharacteristic, complemented
140#16837281C2211yescharacteristic
141#16837281C2211yescharacteristic
142#16837281C2211yescharacteristic
143#16837280C2211yescharacteristic
144#16837280C2211yescharacteristic
145#16837279C2211yescharacteristic
146#16837279C2211yescharacteristic
147#16837279C2211yescharacteristic
148#16837279C2211yescharacteristic
149#16837279C2211yescharacteristic, complemented
150#16837278C2211yescharacteristic, complemented
151#16837277C2211yescharacteristic
152#16837275C2211yescharacteristic
153#16837275C2211yescharacteristic
154#16837275C2211yescharacteristic
155#16837274C2211yescharacteristic, complemented
156#16837274C2211yescharacteristic, complemented
157#16837274C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic, complemented
159#16837270C2211yescharacteristic, complemented
160#16837269C2211yescharacteristic, complemented
161#16837263C2211yescharacteristic
162#16837263C2211yescharacteristic, complemented
163#16837261C2211yescharacteristic, complemented
164#16837261C2211yescharacteristic, complemented
165#16837260C2211yescharacteristic
166#16837260C2211yescharacteristic, complemented
167#16837260C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic
169C22⋊C4×Dic59C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C2×#124×C59C2211yescharacteristic, complemented
173C2×C22⋊Q8×C59C2211yescharacteristic
174C2×#121×C59C2211yescharacteristic
175C22×C42×C59C2211yescharacteristic
176C59×#391C2211yescharacteristic, complemented
177C59×#390C2211yescharacteristic, complemented
178C59×#388C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#382C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C2×#11745687—24no—
189C2×#11745687—42no—
190C2×#11745687—42no—
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207#14273721—42no—
208#14273716—42no—
209#14273708—24no—
210#14273699—42no—
211#14273699—42no—
212#14273697—42no—
213#14273695—42no—
214#14273695—42no—
215D4×Dic59—42no—
216#14273683—42no—
217C2×C4⋊Dic59C2311yescharacteristic
218C2×C4⋊Dic59C2311yescharacteristic
219C2×C4⋊Dic59C2311yescharacteristic
220C2×Dic59⋊C4—42no—
221C2×Dic59⋊C4C2311yescharacteristic
222C2×Dic59⋊C4C2311yescharacteristic
223C2×Dic59⋊C4C2311yescharacteristic
224C2×Dic59⋊C4C2311yescharacteristic
225C2×Dic59⋊C4C2311yescharacteristic
226C2×Dic59⋊C4C2311yescharacteristic
227C2×Dic59⋊C4C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×C22⋊Dic59C2311yescharacteristic
239C2×C22⋊Dic59C2311yescharacteristic
240C2×C22⋊Dic59C2311yescharacteristic
241C2×C22⋊Dic59C2311yescharacteristic
242C2×C22⋊Dic59C2311yescharacteristic
243C2×C22⋊Dic59C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×(C2×D59)⋊C4—24no—
250C2×(C2×D59)⋊C4—42no—
251C2×(C2×D59)⋊C4—42no—
252C2×(C2×D59)⋊C4C2311yescharacteristic
253C2×(C2×D59)⋊C4C2311yescharacteristic
254C2×(C2×D59)⋊C4C2311yescharacteristic
255C2×(C2×D59)⋊C4C2311yescharacteristic
256C2×(C2×D59)⋊C4C2311yescharacteristic
257C2×(C2×D59)⋊C4C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×C4×Dic59C2311yescharacteristic
284C2×C4×Dic59C2311yescharacteristic
285C2×C4×Dic59C2311yescharacteristic
286C2×C4×Dic59C2311yescharacteristic
287C2×C4×Dic59C2311yescharacteristic
288C59⋊#95C2311yescharacteristic
289C59⋊#95C2311yescharacteristic
290C59⋊#95C2311yescharacteristic
291C59⋊#95C2311yescharacteristic
292C59⋊#95C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C22×Q8×C59C2311yescharacteristic
325C22×D4×C59C2311yescharacteristic
326C22×D4×C59C2311yescharacteristic
327C22×D4×C59C2311yescharacteristic
328C23×C4×C59C2311yescharacteristic
329C23×C4×C59C2311yescharacteristic
330C23×C4×C59C2311yescharacteristic
331#124×C59—42no—
332C22⋊Q8×C59—42no—
333#121×C59—42no—
334C2×C4⋊C4×C59C2311yescharacteristic
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C22⋊C4×C59C2311yescharacteristic
339C2×C22⋊C4×C59C2311yescharacteristic
340C2×C22⋊C4×C59C2311yescharacteristic
341C2×C22⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C42×C59—42no—
351C2×C42×C59C2311yescharacteristic
352C2×C42×C59C2311yescharacteristic
353C2×C42×C59C2311yescharacteristic
354C2×C42×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363C24×C59C2411yescharacteristic
364C24×C59C2411yescharacteristic
365C24×C59C2411yescharacteristic
366C23×D59—22no—
367C23×D59—22no—
368C23×D59—22no—
369C23×D59—41no—
370C23×D59—41no—
371C23×D59—41no—
372C23×D59—41no—
373C23×D59C2411yescharacteristic
374C23×D59C2411yescharacteristic
375C23×D59C2411yescharacteristic
376C2×Q8×C59—22no—
377C2×Q8×C59—41no—
378C2×Q8×C59—41no—
379C2×D4×C59—22no—
380C2×D4×C59—22no—
381C2×D4×C59—22no—
382C2×D4×C59—22no—
383C2×D4×C59—22no—
384C2×D4×C59—22no—
385C2×D4×C59—22no—
386C2×D4×C59—41no—
387C2×D4×C59—41no—
388C22×C4×C59—22no—
389C22×C4×C59—22no—
390C22×C4×C59—22no—
391C22×C4×C59—22no—
392C22×C4×C59—41no—
393C22×C4×C59—41no—
394C22×C4×C59—41no—
395C22×C4×C59—41no—
396C22×C4×C59—41no—
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C2×C22⋊D59—22no—
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—41no—
414C2×C22⋊D59—41no—
415C2×C22⋊D59—41no—
416C2×C22⋊D59—41no—
417C2×C22⋊D59—41no—
418C2×C22⋊D59—41no—
419C2×C22⋊D59—41no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59—41no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C2×C22⋊D59—41no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C22×Dic59—22no—
431C22×Dic59—22no—
432C22×Dic59—22no—
433C22×Dic59—22no—
434C22×Dic59—22no—
435C22×Dic59—41no—
436C22×Dic59—41no—
437C22×Dic59—41no—
438C22×Dic59—41no—
439C22×Dic59—41no—
440C22×Dic59—41no—
441C22×Dic59—41no—
442C22×Dic59—41no—
443C22×Dic59—41no—
444C22×Dic59#4114yes—
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458#11745687—416no—
459C2×D236—41no—
460C2×D236—41no—
461C2×D236—41no—
462C2×D236—41no—
463C2×D236—41no—
464C2×D236—41no—
465C2×C4×D59—22no—
466C2×C4×D59—41no—
467C2×C4×D59—41no—
468C2×Dic118—22no—
469C2×Dic118—41no—
470C2×Dic118—41no—
471C4⋊C4×C59—41no—
472C4⋊C4×C59—41no—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C22⋊C4×C59—22no—
476C22⋊C4×C59—22no—
477C22⋊C4×C59—41no—
478C22⋊C4×C59—41no—
479C22⋊C4×C59—41no—
480C22⋊C4×C59—41no—
481C22⋊C4×C59—41no—
482C22⋊C4×C59—41no—
483C22⋊C4×C59—41no—
484C22⋊C4×C59—41no—
485C22⋊C4×C59—41no—
486C22⋊C4×C59—41no—
487C42×C59—22no—
488C42×C59—22no—
489C42×C59—41no—
490C42×C59—41no—
491C22⋊Dic59—22no—
492C22⋊Dic59—22no—
493C22⋊Dic59—22no—
494C22⋊Dic59—22no—
495C22⋊Dic59—22no—
496C22⋊Dic59—41no—
497C22⋊Dic59—41no—
498C22⋊Dic59—41no—
499C22⋊Dic59—41no—
500C22⋊Dic59—41no—
501C22⋊Dic59—41no—
502(C2×D59)⋊C4—22no—
503(C2×D59)⋊C4—22no—
504(C2×D59)⋊C4—22no—
505(C2×D59)⋊C4—22no—
506(C2×D59)⋊C4—22no—
507(C2×D59)⋊C4—22no—
508(C2×D59)⋊C4—22no—
509(C2×D59)⋊C4—41no—
510(C2×D59)⋊C4—41no—
511(C2×D59)⋊C4—41no—
512(C2×D59)⋊C4—41no—
513(C2×D59)⋊C4—41no—
514(C2×D59)⋊C4—41no—
515(C2×D59)⋊C4—41no—
516(C2×D59)⋊C4—41no—
517(C2×D59)⋊C4—41no—
518(C2×D59)⋊C4—41no—
519(C2×D59)⋊C4—41no—
520(C2×D59)⋊C4—41no—
521(C2×D59)⋊C4—41no—
522(C2×D59)⋊C4—41no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533C4⋊Dic59—41no—
534C4⋊Dic59—41no—
535C4⋊Dic59—41no—
536Dic59⋊C4—22no—
537Dic59⋊C4—22no—
538Dic59⋊C4—22no—
539Dic59⋊C4—41no—
540Dic59⋊C4—41no—
541Dic59⋊C4—41no—
542Dic59⋊C4—41no—
543Dic59⋊C4—41no—
544Dic59⋊C4—41no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552Dic59⋊C4—41no—
553C4×Dic59—41no—
554C4×Dic59—41no—
555C4×Dic59—41no—
556C4×Dic59—41no—
557C4×Dic59—41no—
558C23×C59—21no—
559C23×C59—21no—
560C23×C59—21no—
561C23×C59—21no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59C2×#4112yes—
577C23×C59H(5,𝔽2)12yes—
578C23×C59H(5,𝔽2)12yes—
579C23×C59C2511yescharacteristic
580C22×D59—21no—
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—21no—
585C22×D59—21no—
586C22×D59—21no—
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—44no—
602C22×D59—44no—
603C22×D59—44no—
604C22×D59—82no—
605C22×D59—82no—
606C22×D59—82no—
607C22×D59—82no—
608Q8×C59—82no—
609D4×C59—44no—
610D4×C59—44no—
611D4×C59—82no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—44no—
648C2×C4×C59—44no—
649C2×C4×C59—44no—
650C2×C4×C59H(5,𝔽2)12yes—
651C22⋊D59—44no—
652C22⋊D59—44no—
653C22⋊D59—82no—
654C22⋊D59—82no—
655C22⋊D59—82no—
656C22⋊D59—82no—
657C22⋊D59—82no—
658C2×Dic59—28no—
659C2×Dic59—21no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—44no—
697C2×Dic59—82no—
698C2×Dic59—82no—
699C2×Dic59—82no—
700C2×Dic59C2×#4112yes—
701C2×Dic59C2×#4112yes—
702D236—82no—
703D236—82no—
704C4×D59—44no—
705Dic118—44no—
706#36795—591nomaximal, Sylow
707C22×C59—22no—
708C22×C59—22no—
709C22×C59—22no—
710C22×C59—22no—
711C22×C59—22no—
712C22×C59—22no—
713C22×C59—41no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59—41no—
720C22×C59—41no—
721C22×C59—41no—
722C22×C59—41no—
723C22×C59—41no—
724C22×C59—41no—
725C22×C59—41no—
726C22×C59—41no—
727C22×C59#53814yes—
728C22×C59C22×#4111yescharacteristic
729C22×C59C2×H(5,𝔽2)11yescharacteristic
730C22×C59C2×H(5,𝔽2)11yescharacteristic
731C22×C59C2×H(5,𝔽2)11yescharacteristic
732C22×C59#58511yescharacteristic
733C22×C59#58511yescharacteristic
734C22×C59#58511yescharacteristic
735C2×D59—41no—
736C2×D59—41no—
737C2×D59—41no—
738C2×D59—41no—
739C2×D59—41no—
740C2×D59—41no—
741C2×D59—41no—
742C2×D59—41no—
743C2×D59—41no—
744C2×D59—41no—
745C2×D59—41no—
746C2×D59—41no—
747C2×D59—41no—
748C2×D59—41no—
749C2×D59—41no—
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—41no—
755C2×D59—41no—
756C2×D59—88no—
757C4×C59—22no—
758C4×C59—41no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768C4×C59—41no—
769Dic59—22no—
770Dic59—22no—
771Dic59—41no—
772Dic59—41no—
773Dic59—41no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780Dic59—41no—
781Dic59—41no—
782#2852—591no—
783#2850D5911yescharacteristic, complemented
784#2808—591no—
785#2803—591no—
786#2803—591no—
787#2786—591no—
788#2781—591no—
789#2779—591no—
790#2778—591no—
791#2775—591no—
792#2759—591no—
793#2756—591no—
794#2756—591no—
795#2751—591no—
796#2733—591no—
797#2715—591no—
798#2714—591no—
799#2686—591no—
800#2622—591no—
801#2617—591no—
802#2510—591no—
803#2472—591no—
804#2444—591no—
805#2438—591no—
806#2430—591no—
807#2424—591no—
808#2411—591no—
809#2404—591no—
810#2322—591no—
811#2311—591no—
812C2×#388—591no—
813C2×C59—24no—
814C2×C59—81no—
815C2×C59—81no—
816C2×C59C2×#53811yescharacteristic
817C2×C59#349311yescharacteristic
818C2×C59#350611yescharacteristic
819C2×C59#353411yescharacteristic
820C2×C59#354211yescharacteristic
821C2×C59#354511yescharacteristic
822C2×C59#356011yescharacteristic
823D59—81no—
824D59—81no—
825D59—81no—
826C22×#41—591no—
827C2×#126—591no—
828C2×#124—591no—
829C2×#124C2×D5911yescharacteristic, complemented
830C2×#123—591no—
831C2×C22⋊Q8C2×D5911yescharacteristic
832C2×#121—591no—
833C2×#121—591no—
834C2×#121C2×D5911yescharacteristic
835C2×#120—591no—
836C2×#120—591no—
837C2×#120—591no—
838C2×C4×D4—591no—
839C2×#117—591no—
840C22×C4⋊C4—591no—
841C22×C22⋊C4—591no—
842C22×C22⋊C4—591no—
843C22×C22⋊C4—591no—
844C22×C42C2×D5911yescharacteristic
845#401—591no—
846#400—591no—
847#400—591no—
848#400—591no—
849#398—591no—
850#398—591no—
851#397—591no—
852#397—591no—
853#397—591no—
854#397—591no—
855#397—591no—
856#397—591no—
857#397—591no—
858#397—591no—
859#397—591no—
860#397—591no—
861#397—591no—
862#396—591no—
863#396—591no—
864#396—591no—
865#395—591no—
866#395—591no—
867#394—591no—
868#394—591no—
869#394—591no—
870#394—591no—
871#394—591no—
872#394—591no—
873#394—591no—
874#394—591no—
875#394—591no—
876#394—591no—
877#394—591no—
878#394—591no—
879#394—591no—
880#394—591no—
881#394—591no—
882#394—591no—
883#393—591no—
884#393—591no—
885#393—591no—
886#393—591no—
887#392—591no—
888#392—591no—
889#392—591no—
890#392—591no—
891#392—591no—
892#392—591no—
893#391—591no—
894#391—591no—
895#391—591no—
896#391C2×D5911yescharacteristic, complemented
897#390—591no—
898#390—591no—
899#390—591no—
900#390—591no—
901#390—591no—
902#390—591no—
903#390C2×D5911yescharacteristic, complemented
904#389—591no—
905#389—591no—
906#389—591no—
907#388—591no—
908#388—591no—
909#388—591no—
910#388—591no—
911#388—591no—
912#388—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388C2×D5911yescharacteristic, complemented
929#388C2×D5911yescharacteristic, complemented
930#388C2×D5911yescharacteristic, complemented
931#388C2×D5911yescharacteristic, complemented
932#387—591no—
933#387—591no—
934#387—591no—
935#387—591no—
936#387—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#386—591no—
942#386—591no—
943#386—591no—
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386C2×D5911yescharacteristic
956#386C2×D5911yescharacteristic
957#386C2×D5911yescharacteristic
958#386C2×D5911yescharacteristic
959#385—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
967#383—591no—
968#383—591no—
969#382C2×D5911yescharacteristic, complemented
970#381—591no—
971#381—591no—
972#380—591no—
973#380—591no—
974#380—591no—
975#380—591no—
976#380—591no—
977#379—591no—
978C4×C22⋊C4—591no—
979C2×#95—591no—
980C2×#95—591no—
981C59#3679511yescharacteristic, complemented, Sylow
982C25—591no—
983C2×#41—1184no—
984C2×#41—2362no—
985C2×#41—2362no—
986C22×Q8—591no—
987C22×Q8C22×D5911yescharacteristic
988C22×D4—591no—
989C22×D4—591no—
990C22×D4—591no—
991C22×D4—591no—
992C22×D4—591no—
993C22×D4—591no—
994C22×D4—591no—
995C22×D4—591no—
996C22×D4—591no—
997C22×D4C22×D5911yescharacteristic
998C22×D4C22×D5911yescharacteristic
999C22×D4C22×D5911yescharacteristic
1000C23×C4—591no—
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4C22×D5911yescharacteristic
1007C23×C4C22×D5911yescharacteristic
1008C23×C4C22×D5911yescharacteristic
1009#126—2362no—
1010#124—42no—
1011#124—2362no—
1012#123—1184no—
1013C22⋊Q8—42no—
1014#121—42no—
1015#121—2362no—
1016#121—2362no—
1017#120—2362no—
1018#120—2362no—
1019#120—2362no—
1020C4×D4—2362no—
1021#117—2362no—
1022C2×C4⋊C4—591no—
1023C2×C4⋊C4—591no—
1024C2×C4⋊C4—591no—
1025C2×C4⋊C4—591no—
1026C2×C4⋊C4—591no—
1027C2×C4⋊C4—591no—
1028C2×C4⋊C4—591no—
1029C2×C4⋊C4—591no—
1030C2×C4⋊C4—591no—
1031C2×C4⋊C4—591no—
1032C2×C4⋊C4—591no—
1033C2×C4⋊C4—591no—
1034C2×C4⋊C4—591no—
1035C2×C4⋊C4—591no—
1036C2×C4⋊C4—591no—
1037C2×C4⋊C4—591no—
1038C2×C4⋊C4—591no—
1039C2×C4⋊C4—591no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—2362no—
1043C2×C4⋊C4C22×D5911yescharacteristic
1044C2×C4⋊C4C22×D5911yescharacteristic
1045C2×C4⋊C4C22×D5911yescharacteristic
1046C2×C4⋊C4C22×D5911yescharacteristic
1047C2×C22⋊C4—591no—
1048C2×C22⋊C4—591no—
1049C2×C22⋊C4—591no—
1050C2×C22⋊C4—591no—
1051C2×C22⋊C4—591no—
1052C2×C22⋊C4—591no—
1053C2×C22⋊C4—591no—
1054C2×C22⋊C4—591no—
1055C2×C22⋊C4—591no—
1056C2×C22⋊C4—591no—
1057C2×C22⋊C4—591no—
1058C2×C22⋊C4—591no—
1059C2×C22⋊C4—591no—
1060C2×C22⋊C4—591no—
1061C2×C22⋊C4—591no—
1062C2×C22⋊C4—591no—
1063C2×C22⋊C4—591no—
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—1184no—
1090C2×C22⋊C4—2362no—
1091C2×C22⋊C4—2362no—
1092C2×C22⋊C4C22×D5911yescharacteristic
1093C2×C22⋊C4C22×D5911yescharacteristic
1094C2×C22⋊C4C22×D5911yescharacteristic
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C22⋊C4C22×D5911yescharacteristic
1104C2×C42—42no—
1105C2×C42—591no—
1106C2×C42—591no—
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—591no—
1110C2×C42C22×D5911yescharacteristic
1111C2×C42C22×D5911yescharacteristic
1112C2×C42C22×D5911yescharacteristic
1113C2×C42C22×D5911yescharacteristic
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95—591no—
1125#95—591no—
1126#95—591no—
1127#95—591no—
1128#95—591no—
1129#95—591no—
1130#95—591no—
1131#95—591no—
1132#95—591no—
1133#95—591no—
1134#95—591no—
1135#95—591no—
1136#95—591no—
1137#95—591no—
1138#95—591no—
1139#95—591no—
1140#95—591no—
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95C22×D5911yescharacteristic
1151#95C22×D5911yescharacteristic
1152#95C22×D5911yescharacteristic
1153#95C22×D5911yescharacteristic
1154#95C22×D5911yescharacteristic
1155#95C22×D5911yescharacteristic
1156#95C22×D5911yescharacteristic
1157#95C22×D5911yescharacteristic
1158C24—591no—
1159C24—591no—
1160C24—591no—
1161C24—1182no—
1162C24—1182no—
1163C24—1182no—
1164C24—2361no—
1165C24—2361no—
1166C24—2361no—
1167C24—2361no—
1168C24C23×D5911yescharacteristic
1169C24C23×D5911yescharacteristic
1170C24C23×D5911yescharacteristic
1171#41—23616no—
1172C2×Q8—22no—
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8—1182no—
1176C2×Q8—2361no—
1177C2×Q8—2361no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—1182no—
1188C2×D4—1182no—
1189C2×D4—1182no—
1190C2×D4—1182no—
1191C2×D4—2361no—
1192C2×D4—2361no—
1193C2×D4—2361no—
1194C2×D4—2361no—
1195C2×D4—2361no—
1196C2×D4—2361no—
1197C2×D4—2361no—
1198C2×D4—2361no—
1199C2×D4—2361no—
1200C2×D4—2361no—
1201C2×D4—2361no—
1202C2×D4—2361no—
1203C2×D4—2361no—
1204C2×D4—2361no—
1205C2×D4—2361no—
1206C2×D4—2361no—
1207C2×D4—2361no—
1208C2×D4—2361no—
1209C2×D4—2361no—
1210C2×D4—2361no—
1211C2×D4—2361no—
1212C2×D4—2361no—
1213C2×D4—2361no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—594no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
1229C22×C4—591no—
1230C22×C4—591no—
1231C22×C4—591no—
1232C22×C4—591no—
1233C22×C4—591no—
1234C22×C4—591no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—1182no—
1238C22×C4—1182no—
1239C22×C4—1182no—
1240C22×C4—1182no—
1241C22×C4—1182no—
1242C22×C4—1182no—
1243C22×C4—2361no—
1244C22×C4—2361no—
1245C22×C4—2361no—
1246C22×C4—2361no—
1247C22×C4—2361no—
1248C22×C4—2361no—
1249C22×C4—2361no—
1250C22×C4—2361no—
1251C22×C4—2361no—
1252C22×C4—2361no—
1253C22×C4—2361no—
1254C22×C4C23×D5911yescharacteristic
1255C22×C4C23×D5911yescharacteristic
1256C22×C4C23×D5911yescharacteristic
1257C22×C4C23×D5911yescharacteristic
1258C22×C4C23×D5911yescharacteristic
1259C22×C4C23×D5911yescharacteristic
1260C22×C4C23×D5911yescharacteristic
1261C22×C4C23×D5911yescharacteristic
1262C22×C4C23×D5911yescharacteristic
1263C22×C4C23×D5911yescharacteristic
1264C22×C4C23×D5911yescharacteristic
1265C22×C4C23×D5911yescharacteristic
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—1182no—
1271C4⋊C4—1182no—
1272C4⋊C4—1182no—
1273C4⋊C4—2361no—
1274C4⋊C4—2361no—
1275C4⋊C4—2361no—
1276C4⋊C4—2361no—
1277C4⋊C4—2361no—
1278C4⋊C4—2361no—
1279C4⋊C4—2361no—
1280C4⋊C4—2361no—
1281C4⋊C4—2361no—
1282C4⋊C4—2361no—
1283C4⋊C4—2361no—
1284C4⋊C4—2361no—
1285C4⋊C4—2361no—
1286C4⋊C4—2361no—
1287C4⋊C4—2361no—
1288C4⋊C4—2361no—
1289C4⋊C4—2361no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—1182no—
1303C22⋊C4—1182no—
1304C22⋊C4—1182no—
1305C22⋊C4—1182no—
1306C22⋊C4—1182no—
1307C22⋊C4—1182no—
1308C22⋊C4—1182no—
1309C22⋊C4—1182no—
1310C22⋊C4—1182no—
1311C22⋊C4—1182no—
1312C22⋊C4—1182no—
1313C22⋊C4—1182no—
1314C22⋊C4—2361no—
1315C22⋊C4—2361no—
1316C22⋊C4—2361no—
1317C22⋊C4—2361no—
1318C22⋊C4—2361no—
1319C22⋊C4—2361no—
1320C22⋊C4—2361no—
1321C22⋊C4—2361no—
1322C22⋊C4—2361no—
1323C22⋊C4—2361no—
1324C22⋊C4—2361no—
1325C22⋊C4—2361no—
1326C22⋊C4—2361no—
1327C22⋊C4—2361no—
1328C22⋊C4—2361no—
1329C22⋊C4—2361no—
1330C22⋊C4—2361no—
1331C22⋊C4—2361no—
1332C22⋊C4—2361no—
1333C22⋊C4—2361no—
1334C22⋊C4—2361no—
1335C22⋊C4—2361no—
1336C22⋊C4—2361no—
1337C22⋊C4—2361no—
1338C22⋊C4—2361no—
1339C22⋊C4—2361no—
1340C22⋊C4—2361no—
1341C22⋊C4—2361no—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C42—22no—
1345C42—22no—
1346C42—41no—
1347C42—41no—
1348C42—2361no—
1349C42—2361no—
1350C42—2361no—
1351C42—2361no—
1352C42—2361no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—1181no—
1372C23—1181no—
1373C23—1181no—
1374C23—1181no—
1375C23—1181no—
1376C23—1181no—
1377C23—1181no—
1378C23—1181no—
1379C23—1181no—
1380C23—1181no—
1381C23—1181no—
1382C23—1181no—
1383C23—1181no—
1384C23—1181no—
1385C23—1181no—
1386C23—1181no—
1387C23—1181no—
1388C23—1181no—
1389C23—1181no—
1390C23—1181no—
1391C23—1181no—
1392C23—4722no—
1393C23—4722no—
1394C23—4722no—
1395C23—4722no—
1396C23—2364no—
1397C23—2364no—
1398C23—2364no—
1399C23#41×D5912yes—
1400C23#1427377212yes—
1401C23#1427377312yes—
1402C23C24×D5911yescharacteristic
1403Q8—82no—
1404Q8—2364no—
1405D4—44no—
1406D4—44no—
1407D4—82no—
1408D4—4722no—
1409D4—4722no—
1410D4—4722no—
1411D4—4722no—
1412D4—4722no—
1413D4—4722no—
1414D4—4722no—
1415D4—2364no—
1416D4—2364no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—44no—
1453C2×C4—44no—
1454C2×C4—44no—
1455C2×C4—592no—
1456C2×C4—592no—
1457C2×C4—1181no—
1458C2×C4—1181no—
1459C2×C4—1181no—
1460C2×C4—1181no—
1461C2×C4—1188no—
1462C2×C4—1181no—
1463C2×C4—1181no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
1468C2×C4—1181no—
1469C2×C4—1181no—
1470C2×C4—1181no—
1471C2×C4—1181no—
1472C2×C4—1181no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—4722no—
1496C2×C4—4722no—
1497C2×C4—4722no—
1498C2×C4—2364no—
1499C2×C4—2364no—
1500C2×C4#1427377212yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—4728no—
1522C22—2361no—
1523C22—2361no—
1524C22—2361no—
1525C22—2361no—
1526C22—2361no—
1527C22—2361no—
1528C22—2361no—
1529C22—2361no—
1530C22—2361no—
1531C22—2361no—
1532C22—2361no—
1533C22—2361no—
1534C22—2361no—
1535C22—2361no—
1536C22—2361no—
1537C22—2361no—
1538C22—2361no—
1539C22—2361no—
1540C22—2361no—
1541C22—2361no—
1542C22—2361no—
1543C22#1683798614yes—
1544C22C2×#41×D5911yescharacteristic
1545C22C2×#1427377211yescharacteristic
1546C22C2×#1427377211yescharacteristic
1547C22C2×#1427377311yescharacteristic
1548C22#1683823811yescharacteristic
1549C22#1683823811yescharacteristic
1550C22#1683823811yescharacteristic
1551C4—22no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—1182no—
1564C4—1182no—
1565C4—2361no—
1566C4—2361no—
1567C4—2361no—
1568C4—2361no—
1569C4—2361no—
1570C4—2361no—
1571C4—2361no—
1572C4—2361no—
1573C4—2361no—
1574C4—2361no—
1575C4—2361no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—4721no—
1580C2—4721no—
1581C2—4721no—
1582C2C2×#1683798611yescharacteristic
1583C2#2143780811yescharacteristic
1584C2#2143793911yescharacteristic
1585C2#2143828611yescharacteristic
1586C2#2143840411yescharacteristic
1587C2#2143844811yescharacteristic
1588C2#2143865211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2850C2
hypercenter#2850D59
hypocenterC59#36795
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2850

Complements

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

NH ≅ G/Ntype
1. #21432411C2semidirect
2. #21432071C2semidirect
3. #21432026C2semidirect
4. #21432024C2semidirect
5. #21431813C2semidirect
6. #21431755C2semidirect
7. #21431726C2semidirect
8. #21431709C2semidirect
9. #21431670C2semidirect
10. #21431463C2semidirect
11. #21431418C2semidirect
12. #21431416C2semidirect
13. #21431347C2semidirect
14. #21431120C2semidirect
15. #21430907C2semidirect
16. #21430892C2semidirect
17. #21430496C2semidirect
18. #21429873C2semidirect
19. #21429836C2semidirect
20. #21428654C2semidirect
21. #21428229C2semidirect
22. #21427844C2semidirect
23. #21427768C2semidirect
24. #21427702C2semidirect
25. #21427638C2semidirect
26. #21427484C2semidirect
27. #21427414C2semidirect
28. #21426770C2semidirect
29. #21426683C2semidirect
30. C2×#16837293C2semidirect
31. C59×#2850C2semidirect
33. C2×#14273721C22semidirect
47. C59⋊#401C22semidirect
48. #16837343C22semidirect
49. #16837342C22semidirect
50. #16837340C22semidirect
51. #16837335C22semidirect
52. #16837335C22semidirect
57. #16837330C22semidirect
58. #16837330C22semidirect
61. #16837329C22semidirect
63. #16837327C22semidirect
67. #16837322C22semidirect
68. #16837321C22semidirect
76. #16837318C22semidirect
84. #16837317C22semidirect
87. #16837314C22semidirect
94. #16837310C22semidirect
95. #16837309C22semidirect
96. #16837306C22semidirect
97. #16837306C22semidirect
102. #16837302C22semidirect
103. #16837302C22semidirect
104. #16837299C22semidirect
105. #16837299C22semidirect
106. #16837298C22semidirect
107. #16837296C22semidirect
108. #16837294C22semidirect
117. #16837293C22semidirect
118. #16837293C22semidirect
119. #16837293C22semidirect
125. #16837290C22semidirect
126. #16837290C22semidirect
127. #16837290C22semidirect
128. #16837287C22semidirect
129. #16837286C22semidirect
130. #16837286C22semidirect
131. #16837286C22semidirect
132. #16837284C22semidirect
133. #16837284C22semidirect
134. #16837284C22semidirect
135. #16837283C22semidirect
136. #16837283C22semidirect
139. #16837282C22semidirect
149. #16837279C22semidirect
150. #16837278C22semidirect
155. #16837274C22semidirect
156. #16837274C22semidirect
157. #16837274C22semidirect
158. #16837273C22semidirect
159. #16837270C22semidirect
160. #16837269C22semidirect
162. #16837263C22semidirect
163. #16837261C22semidirect
164. #16837261C22semidirect
166. #16837260C22semidirect
167. #16837260C22semidirect
172. C2×#124×C59C22semidirect
176. C59×#391C22semidirect
177. C59×#390C22semidirect
178. C59×#388C22semidirect
179. C59×#388C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
186. C59×#382C22semidirect
783. #2850D59semidirect
829. C2×#124C2×D59semidirect
896. #391C2×D59semidirect
903. #390C2×D59semidirect
928. #388C2×D59semidirect
929. #388C2×D59semidirect
930. #388C2×D59semidirect
931. #388C2×D59semidirect
969. #382C2×D59semidirect
981. C59#36795semidirect

Maximal subgroups

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

subgroupindex
#214324112
#214320712
#214320262
#214320242
#214318132
#214317552
#214317262
#214317092
#214316702
#214314632
#214314182
#214314162
#214313472
#214311202
#214309072
#214308922
#214304962
#214298732
#214298362
#214286542
#214282292
#214278442
#214277682
#214277022
#214276382
#214274842
#214274142
#214267702
#214266832
C2×#168372932
C59×#28502
#3679559