Finite Group Databasebeta

← D59×#2444 #28756419

Subgroups — D59×#2444 #28756419

Order 15104.

3546 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#121×D59C211yesmaximal, characteristic
2C2×C4×D4×D59C211yesmaximal, characteristic, complemented
3#21427853C211yesmaximal, characteristic, complemented
4#21427852C211yesmaximal, characteristic, complemented
5#21427851C211yesmaximal, characteristic, complemented
6#21427850C211yesmaximal, characteristic, complemented
7#21427849C211yesmaximal, characteristic, complemented
8#21427848C211yesmaximal, characteristic, complemented
9#21427847C211yesmaximal, characteristic, complemented
10#21427846C211yesmaximal, characteristic, complemented
11#21427845C211yesmaximal, characteristic, complemented
12#21427844C211yesmaximal, characteristic, complemented
13#21427843C211yesmaximal, characteristic, complemented
14#21427842C211yesmaximal, characteristic, complemented
15#21427841C211yesmaximal, characteristic, complemented
16#21427840C211yesmaximal, characteristic, complemented
17#21427839C211yesmaximal, characteristic, complemented
18#400×D59C211yesmaximal, characteristic, complemented
19#397×D59C211yesmaximal, characteristic, complemented
20#397×D59C211yesmaximal, characteristic, complemented
21#394×D59C211yesmaximal, characteristic, complemented
22#388×D59C211yesmaximal, characteristic, complemented
23#387×D59C211yesmaximal, characteristic, complemented
24#386×D59C211yesmaximal, characteristic, complemented
25#386×D59C211yesmaximal, characteristic, complemented
26#386×D59C211yesmaximal, characteristic, complemented
27#386×D59C211yesmaximal, characteristic, complemented
28#385×D59C211yesmaximal, characteristic, complemented
29#381×D59C211yesmaximal, characteristic, complemented
30C2×#95×D59C211yesmaximal, characteristic, complemented
31C59×#2444C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic
36C23×C4×D59C2211yescharacteristic
37C23×C4×D59C2211yescharacteristic
38C23×C4×D59C2211yescharacteristic
39C2×#14273702C2211yescharacteristic
40C2×#14273701C2211yescharacteristic
41C2×#14273700C2211yescharacteristic
42C2×#14273700C2211yescharacteristic
43C2×#14273699C2211yescharacteristic
44C2×#14273699C2211yescharacteristic
45C2×#14273698C2211yescharacteristic
46#121×D59—28no—
47C2×C4×D236C2211yescharacteristic, complemented
48C2×D4×Dic59C2211yescharacteristic, complemented
49C2×#14273689C2211yescharacteristic, complemented
50C2×C4×C22⋊D59C2211yescharacteristic, complemented
51C2×C4×C22⋊D59C2211yescharacteristic, complemented
52C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
53C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
54C4×D4×D59—28no—
55C2×C4⋊C4×D59C2211yescharacteristic
56C2×C4⋊C4×D59C2211yescharacteristic
57C2×C4⋊C4×D59C2211yescharacteristic
58C2×C4⋊C4×D59C2211yescharacteristic
59C2×C22⋊C4×D59C2211yescharacteristic
60C2×C22⋊C4×D59C2211yescharacteristic
61C2×C22⋊C4×D59C2211yescharacteristic
62C2×C22⋊C4×D59C2211yescharacteristic
63C2×C22⋊C4×D59C2211yescharacteristic
64C2×C22⋊C4×D59C2211yescharacteristic
65C2×C22⋊C4×D59C2211yescharacteristic
66C2×C22⋊C4×D59C2211yescharacteristic
67C2×C22⋊C4×D59C2211yescharacteristic
68C2×C22⋊C4×D59C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic
70C2×C42×D59C2211yescharacteristic
71#16837344C2211yescharacteristic, complemented
72#16837344C2211yescharacteristic, complemented
73#16837343C2211yescharacteristic, complemented
74#16837343C2211yescharacteristic, complemented
75#16837342C2211yescharacteristic, complemented
76#16837341C2211yescharacteristic, complemented
77#16837340C2211yescharacteristic, complemented
78#16837331C2211yescharacteristic, complemented
79#16837331C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837330C2211yescharacteristic, complemented
83#16837330C2211yescharacteristic, complemented
84#16837330C2211yescharacteristic, complemented
85#16837330C2211yescharacteristic, complemented
86#16837329C2211yescharacteristic, complemented
87#16837329C2211yescharacteristic, complemented
88#16837328C2211yescharacteristic, complemented
89#16837328C2211yescharacteristic, complemented
90#16837327C2211yescharacteristic, complemented
91#16837327C2211yescharacteristic, complemented
92#16837320C2211yescharacteristic, complemented
93#16837319C2211yescharacteristic, complemented
94#16837318C2211yescharacteristic, complemented
95#16837318C2211yescharacteristic, complemented
96#16837317C2211yescharacteristic, complemented
97#16837317C2211yescharacteristic, complemented
98#16837316C2211yescharacteristic, complemented
99#16837296C2211yescharacteristic, complemented
100#16837295C2211yescharacteristic, complemented
101#16837294C2211yescharacteristic, complemented
102#16837293C2211yescharacteristic, complemented
103#16837292C2211yescharacteristic, complemented
104#16837291C2211yescharacteristic, complemented
105#16837290C2211yescharacteristic, complemented
106#16837289C2211yescharacteristic, complemented
107#16837288C2211yescharacteristic, complemented
108#16837287C2211yescharacteristic, complemented
109#16837286C2211yescharacteristic, complemented
110#16837285C2211yescharacteristic, complemented
111#16837284C2211yescharacteristic, complemented
112#16837283C2211yescharacteristic, complemented
113#16837282C2211yescharacteristic, complemented
114#16837282C2211yescharacteristic, complemented
115#16837282C2211yescharacteristic, complemented
116#16837282C2211yescharacteristic, complemented
117#16837281C2211yescharacteristic, complemented
118#16837281C2211yescharacteristic, complemented
119#16837281C2211yescharacteristic, complemented
120#16837281C2211yescharacteristic, complemented
121#16837280C2211yescharacteristic, complemented
122#16837280C2211yescharacteristic, complemented
123#16837280C2211yescharacteristic, complemented
124#16837280C2211yescharacteristic, complemented
125#16837280C2211yescharacteristic, complemented
126#16837280C2211yescharacteristic, complemented
127#16837280C2211yescharacteristic, complemented
128#16837280C2211yescharacteristic, complemented
129#16837279C2211yescharacteristic, complemented
130#16837279C2211yescharacteristic, complemented
131#16837279C2211yescharacteristic, complemented
132#16837279C2211yescharacteristic, complemented
133#16837278C2211yescharacteristic, complemented
134#16837278C2211yescharacteristic, complemented
135#16837278C2211yescharacteristic, complemented
136#16837278C2211yescharacteristic, complemented
137#16837278C2211yescharacteristic, complemented
138#16837278C2211yescharacteristic, complemented
139#16837278C2211yescharacteristic, complemented
140#16837278C2211yescharacteristic, complemented
141#16837277C2211yescharacteristic, complemented
142#16837276C2211yescharacteristic, complemented
143#16837276C2211yescharacteristic, complemented
144#16837275C2211yescharacteristic, complemented
145#16837274C2211yescharacteristic, complemented
146#16837273C2211yescharacteristic, complemented
147#16837273C2211yescharacteristic, complemented
148#16837265C2211yescharacteristic, complemented
149#16837264C2211yescharacteristic, complemented
150#16837264C2211yescharacteristic, complemented
151#16837264C2211yescharacteristic, complemented
152#16837264C2211yescharacteristic, complemented
153#16837263C2211yescharacteristic, complemented
154#16837263C2211yescharacteristic, complemented
155C2×C59⋊#95C2211yescharacteristic, complemented
156C2×C59⋊#95C2211yescharacteristic, complemented
157C2×C59⋊#95C2211yescharacteristic, complemented
158#95×D59C2211yescharacteristic
159#95×D59C2211yescharacteristic
160#95×D59C2211yescharacteristic
161#95×D59C2211yescharacteristic
162#95×D59C2211yescharacteristic
163#95×D59C2211yescharacteristic
164#95×D59C2211yescharacteristic
165#95×D59C2211yescharacteristic
166#95×D59C2211yescharacteristic
167#95×D59C2211yescharacteristic
168#95×D59C2211yescharacteristic
169#95×D59C2211yescharacteristic
170#95×D59C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×#121×C59C2211yescharacteristic
175C2×C4×D4×C59C2211yescharacteristic, complemented
176C59×#400C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic, complemented
178C59×#397C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#387C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C59×#381C2211yescharacteristic, complemented
188C2×#95×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C24×D59C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C2×D4×D59—24no—
202C2×D4×D59—24no—
203C2×D4×D59—24no—
204C2×D4×D59—24no—
205C2×D4×D59—24no—
206C2×D4×D59—24no—
207C2×D4×D59—24no—
208C2×D4×D59—42no—
209C2×D4×D59D418yes—
210C23×Dic59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C23×Dic59C2311yescharacteristic
213C23×Dic59C2311yescharacteristic
214C22×C4×D59—24no—
215C22×C4×D59—24no—
216C22×C4×D59—24no—
217C22×C4×D59—24no—
218C22×C4×D59—24no—
219C22×C4×D59—24no—
220C22×C4×D59—24no—
221C22×C4×D59—42no—
222C22×C4×D59—42no—
223C22×C4×D59—42no—
224C22×C4×D59—42no—
225C22×C4×D59—42no—
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233C22×C4×D59C2311yescharacteristic
234C22×C4×D59C2311yescharacteristic
235C22×C4×D59C2311yescharacteristic
236C22×C4×D59C2311yescharacteristic
237C22×C4×D59C2311yescharacteristic
238C22×C4×D59C2311yescharacteristic
239C22×C4×D59C2311yescharacteristic
240C22×C4×D59C2311yescharacteristic
241C22×C4×D59C2311yescharacteristic
242C22×C4×D59C2311yescharacteristic
243C22×C4×D59C2311yescharacteristic
244C22×C4×D59C2311yescharacteristic
245C22×C4×D59C2311yescharacteristic
246#14273702—24no—
247#14273701—24no—
248#14273700—24no—
249#14273700—24no—
250#14273699—24no—
251#14273699—24no—
252#14273698—24no—
253C4×D236—24no—
254D4×Dic59—24no—
255#14273689—24no—
256C4×C22⋊D59—24no—
257C4×C22⋊D59—24no—
258(C22⋊D59)⋊C4—24no—
259(C22⋊D59)⋊C4—24no—
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×C4⋊Dic59C2311yescharacteristic
263C2×C4⋊Dic59C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C4⋊C4×D59—24no—
273C4⋊C4×D59—24no—
274C4⋊C4×D59—24no—
275C4⋊C4×D59—42no—
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
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
309C22⋊C4×D59—24no—
310C22⋊C4×D59—24no—
311C22⋊C4×D59—24no—
312C22⋊C4×D59—24no—
313C22⋊C4×D59—24no—
314C22⋊C4×D59—24no—
315C22⋊C4×D59—42no—
316C22⋊C4×D59—42no—
317C22⋊C4×D59—42no—
318C22⋊C4×D59—42no—
319C22⋊C4×D59—42no—
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C42×D59—24no—
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
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
354C59⋊#95C2311yescharacteristic
355C59⋊#95C2311yescharacteristic
356C59⋊#95C2311yescharacteristic
357C59⋊#95C2311yescharacteristic
358C59⋊#95C2311yescharacteristic
359C59⋊#95C2311yescharacteristic
360C22×D4×C59C2311yescharacteristic
361C22×D4×C59C2311yescharacteristic
362C22×D4×C59C2311yescharacteristic
363C23×C4×C59C2311yescharacteristic
364C23×C4×C59C2311yescharacteristic
365C23×C4×C59C2311yescharacteristic
366C23×C4×C59C2311yescharacteristic
367#121×C59—24no—
368C4×D4×C59—24no—
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C42×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391#95×C59C2311yescharacteristic
392#95×C59C2311yescharacteristic
393#95×C59C2311yescharacteristic
394#95×C59C2311yescharacteristic
395#95×C59C2311yescharacteristic
396#95×C59C2311yescharacteristic
397C24×C59C2411yescharacteristic
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C23×D59—22no—
401C23×D59—22no—
402C23×D59—22no—
403C23×D59—22no—
404C23×D59—22no—
405C23×D59—22no—
406C23×D59—22no—
407C23×D59—22no—
408C23×D59—22no—
409C23×D59—22no—
410C23×D59—22no—
411C23×D59—22no—
412C23×D59—22no—
413C23×D59—22no—
414C23×D59—22no—
415C23×D59—22no—
416C23×D59—22no—
417C23×D59C2×D414yes—
418C23×D59C2×D414yes—
419C23×D59#4114yes—
420C23×D59#4114yes—
421C23×D59C2411yescharacteristic
422C23×D59C2411yescharacteristic
423C23×D59C2411yescharacteristic
424C23×D59C2411yescharacteristic
425C2×D4×C59—22no—
426C2×D4×C59—22no—
427C2×D4×C59—22no—
428C2×D4×C59—22no—
429C2×D4×C59—22no—
430C2×D4×C59—22no—
431C2×D4×C59—22no—
432C2×D4×C59—41no—
433C2×D4×C59C2×D414yes—
434C22×C4×C59—22no—
435C22×C4×C59—22no—
436C22×C4×C59—22no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—22no—
440C22×C4×C59—22no—
441C22×C4×C59—41no—
442C22×C4×C59—41no—
443C22×C4×C59—41no—
444C22×C4×C59—41no—
445C22×C4×C59—41no—
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
457C22×C4×C59C2411yescharacteristic
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—22no—
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
465C2×C22⋊D59—22no—
466C2×C22⋊D59—22no—
467C2×C22⋊D59—22no—
468C2×C22⋊D59—22no—
469C2×C22⋊D59—22no—
470C2×C22⋊D59—22no—
471C2×C22⋊D59—22no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59C2×D414yes—
475C2×C22⋊D59C2×D414yes—
476C22×Dic59—22no—
477C22×Dic59—22no—
478C22×Dic59—22no—
479C22×Dic59—22no—
480C22×Dic59—22no—
481C22×Dic59—22no—
482C22×Dic59—22no—
483C22×Dic59—41no—
484C22×Dic59—41no—
485C22×Dic59—41no—
486C22×Dic59—41no—
487C22×Dic59—41no—
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2411yescharacteristic
495C22×Dic59C2411yescharacteristic
496C22×Dic59C2411yescharacteristic
497C22×Dic59C2411yescharacteristic
498C22×Dic59C2411yescharacteristic
499C22×Dic59C2411yescharacteristic
500D4×D59—232no—
501D4×D59—416no—
502D4×D59—416no—
503C2×D236—22no—
504C2×D236—22no—
505C2×D236—22no—
506C2×D236—22no—
507C2×D236—22no—
508C2×D236—22no—
509C2×D236—22no—
510C2×D236—41no—
511C2×D236C2×D414yes—
512C2×C4×D59—22no—
513C2×C4×D59—22no—
514C2×C4×D59—22no—
515C2×C4×D59—22no—
516C2×C4×D59—22no—
517C2×C4×D59—22no—
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—22no—
526C2×C4×D59—22no—
527C2×C4×D59—22no—
528C2×C4×D59—22no—
529C2×C4×D59—22no—
530C2×C4×D59—22no—
531C2×C4×D59—22no—
532C2×C4×D59—22no—
533C2×C4×D59—22no—
534C2×C4×D59—22no—
535C2×C4×D59—22no—
536C2×C4×D59—22no—
537C2×C4×D59—22no—
538C2×C4×D59—22no—
539C2×C4×D59—22no—
540C2×C4×D59—22no—
541C2×C4×D59—22no—
542C2×C4×D59—22no—
543C2×C4×D59—22no—
544C2×C4×D59—22no—
545C2×C4×D59—22no—
546C2×C4×D59—22no—
547C2×C4×D59—22no—
548C2×C4×D59—22no—
549C2×C4×D59—22no—
550C2×C4×D59—22no—
551C2×C4×D59—22no—
552C2×C4×D59—22no—
553C2×C4×D59—22no—
554C2×C4×D59—22no—
555C2×C4×D59—22no—
556C2×C4×D59—22no—
557C2×C4×D59—22no—
558C2×C4×D59—22no—
559C2×C4×D59—416no—
560C2×C4×D59—416no—
561C2×C4×D59—416no—
562C2×C4×D59—41no—
563C2×C4×D59—41no—
564C2×C4×D59—41no—
565C2×C4×D59—41no—
566C2×C4×D59—41no—
567C2×C4×D59—41no—
568C2×C4×D59—41no—
569C2×C4×D59—41no—
570C2×C4×D59—41no—
571C2×C4×D59—41no—
572C2×C4×D59—416no—
573C2×C4×D59C2×D414yes—
574C2×C4×D59#4114yes—
575C2×C4×D59#4114yes—
576C4⋊C4×C59—22no—
577C4⋊C4×C59—22no—
578C4⋊C4×C59—22no—
579C4⋊C4×C59—41no—
580C22⋊C4×C59—22no—
581C22⋊C4×C59—22no—
582C22⋊C4×C59—22no—
583C22⋊C4×C59—22no—
584C22⋊C4×C59—22no—
585C22⋊C4×C59—22no—
586C22⋊C4×C59—41no—
587C22⋊C4×C59—41no—
588C22⋊C4×C59—41no—
589C22⋊C4×C59—41no—
590C22⋊C4×C59—41no—
591C42×C59—22no—
592C22⋊Dic59—22no—
593C22⋊Dic59—22no—
594C22⋊Dic59—22no—
595C22⋊Dic59—22no—
596C22⋊Dic59—22no—
597C22⋊Dic59—22no—
598C22⋊Dic59—41no—
599C22⋊Dic59—41no—
600C22⋊Dic59—41no—
601C22⋊Dic59—41no—
602C22⋊Dic59—41no—
603(C2×D59)⋊C4—22no—
604(C2×D59)⋊C4—22no—
605(C2×D59)⋊C4—22no—
606(C2×D59)⋊C4—22no—
607(C2×D59)⋊C4—22no—
608(C2×D59)⋊C4—22no—
609(C2×D59)⋊C4—22no—
610(C2×D59)⋊C4—22no—
611(C2×D59)⋊C4—22no—
612(C2×D59)⋊C4—22no—
613(C2×D59)⋊C4—22no—
614(C2×D59)⋊C4—22no—
615(C2×D59)⋊C4—41no—
616(C2×D59)⋊C4—41no—
617(C2×D59)⋊C4—41no—
618(C2×D59)⋊C4—41no—
619(C2×D59)⋊C4—41no—
620(C2×D59)⋊C4—41no—
621(C2×D59)⋊C4—41no—
622(C2×D59)⋊C4—41no—
623(C2×D59)⋊C4—41no—
624(C2×D59)⋊C4—41no—
625C4⋊Dic59—22no—
626C4⋊Dic59—22no—
627C4⋊Dic59—22no—
628C4⋊Dic59—41no—
629Dic59⋊C4—22no—
630Dic59⋊C4—22no—
631Dic59⋊C4—22no—
632Dic59⋊C4—22no—
633Dic59⋊C4—22no—
634Dic59⋊C4—22no—
635Dic59⋊C4—41no—
636Dic59⋊C4—41no—
637C4×Dic59—22no—
638C4×Dic59—22no—
639C4×Dic59—22no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59C22×D412yes—
658C23×C59C22×D412yes—
659C23×C59C2×#4112yes—
660C23×C59C2×#4112yes—
661C23×C59C2511yescharacteristic
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—28no—
667C22×D59—28no—
668C22×D59—28no—
669C22×D59—28no—
670C22×D59—28no—
671C22×D59—28no—
672C22×D59—21no—
673C22×D59—21no—
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—28no—
679C22×D59—28no—
680C22×D59—28no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—21no—
685C22×D59—21no—
686C22×D59—21no—
687C22×D59—21no—
688C22×D59—44no—
689C22×D59—44no—
690C22×D59—44no—
691C22×D59—44no—
692C22×D59—44no—
693C22×D59—44no—
694C22×D59—44no—
695C22×D59—44no—
696C22×D59—44no—
697C22×D59—44no—
698C22×D59—44no—
699C22×D59#123116yes—
700C22×D59C22×D412yes—
701C22×D59C22×D412yes—
702C22×D59C22×D412yes—
703C22×D59C2×#4112yes—
704C22×D59C2×#4112yes—
705C22×D59C2×#4112yes—
706C22×D59C2×#4112yes—
707C22×D59C2×#4112yes—
708C22×D59C2×#4112yes—
709C22×D59H(5,𝔽2)12yes—
710C22×D59H(5,𝔽2)12yes—
711D4×C59—28no—
712D4×C59—44no—
713D4×C59—44no—
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—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—44no—
748C2×C4×C59—44no—
749C2×C4×C59—44no—
750C2×C4×C59—44no—
751C2×C4×C59C22×D412yes—
752C2×C4×C59C2×#4112yes—
753C2×C4×C59C2×#4112yes—
754C22⋊D59—28no—
755C22⋊D59—28no—
756C22⋊D59—44no—
757C22⋊D59—44no—
758C22⋊D59—44no—
759C22⋊D59—44no—
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—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—44no—
794C2×Dic59—44no—
795C2×Dic59—44no—
796C2×Dic59—44no—
797C2×Dic59C22×D412yes—
798C2×Dic59C2×#4112yes—
799C2×Dic59C2×#4112yes—
800D236—28no—
801D236—44no—
802D236—44no—
803C4×D59—28no—
804C4×D59—28no—
805C4×D59—28no—
806C4×D59—44no—
807C4×D59—44no—
808C4×D59—44no—
809C4×D59—44no—
810C4×D59—44no—
811C4×D59—44no—
812C4×D59—44no—
813C4×D59—44no—
814C4×D59—44no—
815C4×D59—44no—
816C4×D59—44no—
817C4×D59—44no—
818C4×D59—44no—
819C4×D59—44no—
820C4×D59—44no—
821C4×D59—44no—
822C4×D59—44no—
823C2×#2444—591nomaximal, Sylow
824C22×C59—22no—
825C22×C59—22no—
826C22×C59—22no—
827C22×C59—22no—
828C22×C59—22no—
829C22×C59—22no—
830C22×C59—22no—
831C22×C59—22no—
832C22×C59—22no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59C2×#12314yes—
845C22×C59C23×D411yescharacteristic
846C22×C59C22×#4111yescharacteristic
847C22×C59C22×#4111yescharacteristic
848C22×C59C22×#4111yescharacteristic
849C22×C59C22×#4111yescharacteristic
850C22×C59C2×H(5,𝔽2)11yescharacteristic
851C22×C59C2×H(5,𝔽2)11yescharacteristic
852C2×D59—22no—
853C2×D59—22no—
854C2×D59—22no—
855C2×D59—22no—
856C2×D59—22no—
857C2×D59—22no—
858C2×D59—232no—
859C2×D59—22no—
860C2×D59—22no—
861C2×D59—22no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—416no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—88no—
875C2×D59C2×#12314yes—
876C2×D59C2×#12314yes—
877C2×D59#52914yes—
878C2×D59#53814yes—
879C2×D59#54614yes—
880C2×D59#54614yes—
881C2×D59#55314yes—
882C2×D59#55314yes—
883C4×C59—22no—
884C4×C59—22no—
885C4×C59—22no—
886C4×C59—41no—
887C4×C59—41no—
888C4×C59—41no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59—41no—
895Dic59—22no—
896Dic59—22no—
897Dic59—22no—
898Dic59—41no—
899Dic59—41no—
900Dic59—41no—
901Dic59—41no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59—41no—
907C22×#121—591no—
908C22×C4×D4—591no—
909#2444—591no—
910#2444—591no—
911#2444—591no—
912#2444—591no—
913#2444—591no—
914#2444—591no—
915#2444—591no—
916#2444—591no—
917#2444—591no—
918#2444—591no—
919#2444—591no—
920#2444—591no—
921#2444—591no—
922#2444—591no—
923#2444—591no—
924#2444D5911yescharacteristic, direct product factor
925C2×#400—591no—
926C2×#397—591no—
927C2×#397—591no—
928C2×#394—591no—
929C2×#388—591no—
930C2×#387—591no—
931C2×#386—591no—
932C2×#386—591no—
933C2×#386—591no—
934C2×#386—591no—
935C2×#385—591no—
936C2×#381—591no—
937C22×#95—591no—
938C2×C59—24no—
939C2×C59—42no—
940C2×C59—81no—
941C2×C59C22×#12311yescharacteristic
942C2×C59C2×#52911yescharacteristic
943C2×C59C2×#53811yescharacteristic
944C2×C59C2×#54611yescharacteristic
945C2×C59C2×#54611yescharacteristic
946C2×C59C2×#55311yescharacteristic
947C2×C59C2×#55311yescharacteristic
948D59—24no—
949D59—42no—
950D59—81no—
951D59#244418yesdirect product factor
952C23×D4—591no—
953C23×D4—591no—
954C23×D4—591no—
955C24×C4—591no—
956C24×C4—591no—
957C24×C4—591no—
958C24×C4—591no—
959C2×#121—591no—
960C2×#121—591no—
961C2×#121—591no—
962C2×#121—591no—
963C2×#121—591no—
964C2×#121—591no—
965C2×#121—591no—
966C2×#121—1188no—
967C2×#121C2×D5911yescharacteristic
968C2×C4×D4—591no—
969C2×C4×D4—591no—
970C2×C4×D4—591no—
971C2×C4×D4—591no—
972C2×C4×D4—591no—
973C2×C4×D4—591no—
974C2×C4×D4—591no—
975C2×C4×D4—1188no—
976C2×C4×D4C2×D5911yescharacteristic, complemented
977C22×C4⋊C4—591no—
978C22×C4⋊C4—591no—
979C22×C4⋊C4—591no—
980C22×C4⋊C4—591no—
981C22×C22⋊C4—591no—
982C22×C22⋊C4—591no—
983C22×C22⋊C4—591no—
984C22×C22⋊C4—591no—
985C22×C22⋊C4—591no—
986C22×C22⋊C4—591no—
987C22×C22⋊C4—591no—
988C22×C22⋊C4—591no—
989C22×C22⋊C4—591no—
990C22×C22⋊C4—591no—
991C22×C22⋊C4—591no—
992C22×C42—591no—
993#400—591no—
994#400—591no—
995#400—591no—
996#400—591no—
997#400—591no—
998#400—591no—
999#400—591no—
1000#400C2×D5911yescharacteristic, complemented
1001#397—591no—
1002#397—591no—
1003#397—591no—
1004#397—591no—
1005#397—591no—
1006#397—591no—
1007#397—591no—
1008#397—591no—
1009#397—591no—
1010#397—591no—
1011#397—591no—
1012#397—591no—
1013#397—591no—
1014#397—591no—
1015#397C2×D5911yescharacteristic, complemented
1016#397C2×D5911yescharacteristic, complemented
1017#394—591no—
1018#394—591no—
1019#394—591no—
1020#394—591no—
1021#394—591no—
1022#394—591no—
1023#394—591no—
1024#394C2×D5911yescharacteristic, complemented
1025#388—591no—
1026#388—591no—
1027#388—591no—
1028#388—591no—
1029#388—591no—
1030#388—591no—
1031#388—591no—
1032#388C2×D5911yescharacteristic, complemented
1033#387—591no—
1034#387—591no—
1035#387—591no—
1036#387—591no—
1037#387—591no—
1038#387—591no—
1039#387—591no—
1040#387C2×D5911yescharacteristic, complemented
1041#386—591no—
1042#386—591no—
1043#386—591no—
1044#386—591no—
1045#386—591no—
1046#386—591no—
1047#386—591no—
1048#386—591no—
1049#386—591no—
1050#386—591no—
1051#386—591no—
1052#386—591no—
1053#386—591no—
1054#386—591no—
1055#386—591no—
1056#386—591no—
1057#386—591no—
1058#386—591no—
1059#386—591no—
1060#386—591no—
1061#386—591no—
1062#386—591no—
1063#386—591no—
1064#386—591no—
1065#386—591no—
1066#386—591no—
1067#386—591no—
1068#386—591no—
1069#386C2×D5911yescharacteristic, complemented
1070#386C2×D5911yescharacteristic, complemented
1071#386C2×D5911yescharacteristic, complemented
1072#386C2×D5911yescharacteristic, complemented
1073#385—591no—
1074#385—591no—
1075#385—591no—
1076#385—591no—
1077#385—591no—
1078#385—591no—
1079#385—591no—
1080#385C2×D5911yescharacteristic, complemented
1081#381—591no—
1082#381—591no—
1083#381—591no—
1084#381—591no—
1085#381—591no—
1086#381—591no—
1087#381—591no—
1088#381C2×D5911yescharacteristic, complemented
1089C2×#95—591no—
1090C2×#95—591no—
1091C2×#95—591no—
1092C2×#95—591no—
1093C2×#95—591no—
1094C2×#95—591no—
1095C2×#95—591no—
1096C2×#95—591no—
1097C2×#95—591no—
1098C2×#95—591no—
1099C2×#95—591no—
1100C2×#95—591no—
1101C2×#95—591no—
1102C2×#95—591no—
1103C2×#95—591no—
1104C2×#95—591no—
1105C2×#95—591no—
1106C2×#95—591no—
1107C2×#95—591no—
1108C2×#95C2×D5911yescharacteristic, complemented
1109C59C2×#244411yescharacteristic, complemented, Sylow
1110C25—591no—
1111C25—591no—
1112C25—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—598no—
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4—591no—
1119C22×D4—591no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—1184no—
1124C22×D4—1184no—
1125C22×D4—1184no—
1126C22×D4—1184no—
1127C22×D4—1184no—
1128C22×D4—1184no—
1129C22×D4—1184no—
1130C22×D4—2362no—
1131C22×D4C22×D5911yescharacteristic
1132C22×D4C22×D5911yescharacteristic
1133C22×D4C22×D5911yescharacteristic
1134C23×C4—591no—
1135C23×C4—591no—
1136C23×C4—591no—
1137C23×C4—591no—
1138C23×C4—591no—
1139C23×C4—591no—
1140C23×C4—591no—
1141C23×C4—591no—
1142C23×C4—591no—
1143C23×C4—591no—
1144C23×C4—591no—
1145C23×C4—591no—
1146C23×C4—591no—
1147C23×C4—591no—
1148C23×C4—591no—
1149C23×C4—591no—
1150C23×C4—591no—
1151C23×C4—591no—
1152C23×C4—591no—
1153C23×C4—591no—
1154C23×C4—591no—
1155C23×C4—591no—
1156C23×C4—591no—
1157C23×C4—591no—
1158C23×C4—1184no—
1159C23×C4—1184no—
1160C23×C4—1184no—
1161C23×C4—1184no—
1162C23×C4—1184no—
1163C23×C4—1184no—
1164C23×C4—1184no—
1165C23×C4—2362no—
1166C23×C4—2362no—
1167C23×C4—2362no—
1168C23×C4—2362no—
1169C23×C4—2362no—
1170C23×C4C22×D5911yescharacteristic
1171C23×C4C22×D5911yescharacteristic
1172C23×C4C22×D5911yescharacteristic
1173C23×C4C22×D5911yescharacteristic
1174#121—24no—
1175#121—1184no—
1176#121—1184no—
1177#121—1184no—
1178#121—1184no—
1179#121—1184no—
1180#121—1184no—
1181#121—1184no—
1182C4×D4—24no—
1183C4×D4—1184no—
1184C4×D4—1184no—
1185C4×D4—1184no—
1186C4×D4—1184no—
1187C4×D4—1184no—
1188C4×D4—1184no—
1189C4×D4—1184no—
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⋊C4—591no—
1197C2×C4⋊C4—591no—
1198C2×C4⋊C4—591no—
1199C2×C4⋊C4—591no—
1200C2×C4⋊C4—591no—
1201C2×C4⋊C4—591no—
1202C2×C4⋊C4—1184no—
1203C2×C4⋊C4—1184no—
1204C2×C4⋊C4—1184no—
1205C2×C4⋊C4—2362no—
1206C2×C4⋊C4C22×D5911yescharacteristic
1207C2×C4⋊C4C22×D5911yescharacteristic
1208C2×C4⋊C4C22×D5911yescharacteristic
1209C2×C4⋊C4C22×D5911yescharacteristic
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—1184no—
1244C2×C22⋊C4—1184no—
1245C2×C22⋊C4—1184no—
1246C2×C22⋊C4—1184no—
1247C2×C22⋊C4—1184no—
1248C2×C22⋊C4—1184no—
1249C2×C22⋊C4—2362no—
1250C2×C22⋊C4—2362no—
1251C2×C22⋊C4—2362no—
1252C2×C22⋊C4—2362no—
1253C2×C22⋊C4—2362no—
1254C2×C22⋊C4C22×D5911yescharacteristic
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—1184no—
1269C2×C42C22×D5911yescharacteristic
1270#95—591no—
1271#95—591no—
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#95—591no—
1289#95—591no—
1290#95—591no—
1291#95—591no—
1292#95—591no—
1293#95—591no—
1294#95—591no—
1295#95—591no—
1296#95—591no—
1297#95—591no—
1298#95—591no—
1299#95—591no—
1300#95—591no—
1301#95—591no—
1302#95—591no—
1303#95—591no—
1304#95—591no—
1305#95—591no—
1306#95C22×D5911yescharacteristic
1307#95C22×D5911yescharacteristic
1308#95C22×D5911yescharacteristic
1309#95C22×D5911yescharacteristic
1310#95C22×D5911yescharacteristic
1311#95C22×D5911yescharacteristic
1312#95C22×D5911yescharacteristic
1313#95C22×D5911yescharacteristic
1314#95C22×D5911yescharacteristic
1315#95C22×D5911yescharacteristic
1316#95C22×D5911yescharacteristic
1317#95C22×D5911yescharacteristic
1318C24—591no—
1319C24—594no—
1320C24—594no—
1321C24—594no—
1322C24—591no—
1323C24—594no—
1324C24—591no—
1325C24—591no—
1326C24—1182no—
1327C24—1182no—
1328C24—1182no—
1329C24—1182no—
1330C24—1182no—
1331C24—1182no—
1332C24—1182no—
1333C24—1182no—
1334C24—1182no—
1335C24—1182no—
1336C24—1182no—
1337C24—1182no—
1338C24—1182no—
1339C24—1182no—
1340C24—1182no—
1341C24—1182no—
1342C24—1182no—
1343C24C23×D5911yescharacteristic
1344C24C23×D5911yescharacteristic
1345C24C23×D5911yescharacteristic
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—41no—
1354C2×D4—594no—
1355C2×D4—594no—
1356C2×D4—594no—
1357C2×D4—1182no—
1358C2×D4—1182no—
1359C2×D4—1182no—
1360C2×D4—1182no—
1361C2×D4—1182no—
1362C2×D4—1182no—
1363C2×D4—1182no—
1364C2×D4—1182no—
1365C2×D4—11832no—
1366C2×D4—1182no—
1367C2×D4—1182no—
1368C2×D4—1182no—
1369C2×D4—1182no—
1370C2×D4—1182no—
1371C2×D4—1182no—
1372C2×D4—1182no—
1373C2×D4—1182no—
1374C2×D4—1182no—
1375C2×D4—1182no—
1376C2×D4—1182no—
1377C2×D4—1182no—
1378C2×D4—1182no—
1379C2×D4—2361no—
1380C2×D4—23616no—
1381C2×D4—2361no—
1382C2×D4—2361no—
1383C2×D4—23616no—
1384C2×D4D4×D5914yes—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—591no—
1400C22×C4—594no—
1401C22×C4—594no—
1402C22×C4—594no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—591no—
1411C22×C4—591no—
1412C22×C4—1182no—
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—1182no—
1424C22×C4—1182no—
1425C22×C4—1182no—
1426C22×C4—1182no—
1427C22×C4—1182no—
1428C22×C4—1182no—
1429C22×C4—1182no—
1430C22×C4—1182no—
1431C22×C4—1182no—
1432C22×C4—1182no—
1433C22×C4—1182no—
1434C22×C4—1182no—
1435C22×C4—1182no—
1436C22×C4—1182no—
1437C22×C4—1182no—
1438C22×C4—1182no—
1439C22×C4—1182no—
1440C22×C4—1182no—
1441C22×C4—1182no—
1442C22×C4—1182no—
1443C22×C4—1182no—
1444C22×C4—1182no—
1445C22×C4—1182no—
1446C22×C4—1182no—
1447C22×C4—1182no—
1448C22×C4—1182no—
1449C22×C4—1182no—
1450C22×C4—1182no—
1451C22×C4—1182no—
1452C22×C4—1182no—
1453C22×C4—1182no—
1454C22×C4—1182no—
1455C22×C4—1182no—
1456C22×C4—1182no—
1457C22×C4—1182no—
1458C22×C4—1182no—
1459C22×C4—1182no—
1460C22×C4—1182no—
1461C22×C4—1182no—
1462C22×C4—1182no—
1463C22×C4—1182no—
1464C22×C4—1182no—
1465C22×C4—1182no—
1466C22×C4—2361no—
1467C22×C4—2361no—
1468C22×C4—2361no—
1469C22×C4—2361no—
1470C22×C4—2361no—
1471C22×C4—2361no—
1472C22×C4—2361no—
1473C22×C4—2361no—
1474C22×C4—2361no—
1475C22×C4—2361no—
1476C22×C4—23616no—
1477C22×C4—23616no—
1478C22×C4—23616no—
1479C22×C4—23616no—
1480C22×C4—2361no—
1481C22×C4—2361no—
1482C22×C4—2361no—
1483C22×C4—2361no—
1484C22×C4—2361no—
1485C22×C4C23×D5911yescharacteristic
1486C22×C4C23×D5911yescharacteristic
1487C22×C4C23×D5911yescharacteristic
1488C22×C4C23×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490C22×C4C23×D5911yescharacteristic
1491C22×C4C23×D5911yescharacteristic
1492C22×C4C23×D5911yescharacteristic
1493C22×C4C23×D5911yescharacteristic
1494C22×C4C23×D5911yescharacteristic
1495C22×C4C23×D5911yescharacteristic
1496C22×C4C23×D5911yescharacteristic
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—41no—
1501C4⋊C4—1182no—
1502C4⋊C4—1182no—
1503C4⋊C4—1182no—
1504C4⋊C4—1182no—
1505C4⋊C4—1182no—
1506C4⋊C4—1182no—
1507C4⋊C4—1182no—
1508C4⋊C4—1182no—
1509C4⋊C4—1182no—
1510C4⋊C4—2361no—
1511C4⋊C4—2361no—
1512C4⋊C4—2361no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—1182no—
1525C22⋊C4—1182no—
1526C22⋊C4—1182no—
1527C22⋊C4—1182no—
1528C22⋊C4—1182no—
1529C22⋊C4—1182no—
1530C22⋊C4—1182no—
1531C22⋊C4—1182no—
1532C22⋊C4—1182no—
1533C22⋊C4—1182no—
1534C22⋊C4—1182no—
1535C22⋊C4—1182no—
1536C22⋊C4—1182no—
1537C22⋊C4—1182no—
1538C22⋊C4—1182no—
1539C22⋊C4—1182no—
1540C22⋊C4—1182no—
1541C22⋊C4—1182no—
1542C22⋊C4—2361no—
1543C22⋊C4—2361no—
1544C22⋊C4—2361no—
1545C22⋊C4—2361no—
1546C22⋊C4—2361no—
1547C22⋊C4—2361no—
1548C22⋊C4—2361no—
1549C22⋊C4—2361no—
1550C22⋊C4—2361no—
1551C22⋊C4—2361no—
1552C22⋊C4—2361no—
1553C22⋊C4—2361no—
1554C22⋊C4—2361no—
1555C22⋊C4—2361no—
1556C22⋊C4—2361no—
1557C42—22no—
1558C42—1182no—
1559C42—1182no—
1560C42—1182no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—592no—
1579C23—592no—
1580C23—592no—
1581C23—592no—
1582C23—592no—
1583C23—592no—
1584C23—592no—
1585C23—5916no—
1586C23—592no—
1587C23—592no—
1588C23—592no—
1589C23—592no—
1590C23—1188no—
1591C23—1188no—
1592C23—1188no—
1593C23—1188no—
1594C23—1188no—
1595C23—1188no—
1596C23—1188no—
1597C23—1188no—
1598C23—1188no—
1599C23—1181no—
1600C23—1181no—
1601C23—1181no—
1602C23—1181no—
1603C23—1181no—
1604C23—1181no—
1605C23—1181no—
1606C23—1181no—
1607C23—1181no—
1608C23—1181no—
1609C23—1181no—
1610C23—1181no—
1611C23—1181no—
1612C23—1181no—
1613C23—1181no—
1614C23—1181no—
1615C23—1181no—
1616C23—2364no—
1617C23—2364no—
1618C23—2364no—
1619C23—2364no—
1620C23—2364no—
1621C23—2364no—
1622C23—2364no—
1623C23—2364no—
1624C23—2364no—
1625C23—2364no—
1626C23—2364no—
1627C23C2×D4×D5912yes—
1628C23C2×D4×D5912yes—
1629C23#41×D5912yes—
1630C23#41×D5912yes—
1631C23C24×D5911yescharacteristic
1632D4—28no—
1633D4—44no—
1634D4—44no—
1635D4—1188no—
1636D4—1188no—
1637D4—1188no—
1638D4—2364no—
1639D4—2364no—
1640D4—2364no—
1641D4—2364no—
1642D4—2364no—
1643D4—2364no—
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—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—592no—
1682C2×C4—592no—
1683C2×C4—592no—
1684C2×C4—1188no—
1685C2×C4—1188no—
1686C2×C4—1188no—
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—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—1181no—
1710C2×C4—1181no—
1711C2×C4—1181no—
1712C2×C4—1181no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—2364no—
1721C2×C4—2364no—
1722C2×C4—2364no—
1723C2×C4—2364no—
1724C2×C4—2364no—
1725C2×C4—2364no—
1726C2×C4—2364no—
1727C2×C4—2364no—
1728C2×C4—2364no—
1729C2×C4—2364no—
1730C2×C4—2364no—
1731C2×C4—2364no—
1732C2×C4—2364no—
1733C2×C4—2364no—
1734C2×C4—2364no—
1735C2×C4—2364no—
1736C2×C4—2364no—
1737C2×C4—2364no—
1738C2×C4—2364no—
1739C2×C4—2364no—
1740C2×C4—2364no—
1741C2×C4C2×D4×D5912yes—
1742C2×C4#41×D5912yes—
1743C2×C4#41×D5912yes—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—594no—
1765C22—594no—
1766C22—594no—
1767C22—594no—
1768C22—594no—
1769C22—594no—
1770C22—594no—
1771C22—594no—
1772C22—11832no—
1773C22—1182no—
1774C22—1182no—
1775C22—1182no—
1776C22—1182no—
1777C22—1182no—
1778C22—1182no—
1779C22—1182no—
1780C22—1182no—
1781C22—1182no—
1782C22—4728no—
1783C22—23616no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22—2361no—
1788C22—2361no—
1789C22—2361no—
1790C22—2361no—
1791C22—2361no—
1792C22—2361no—
1793C22—2361no—
1794C22—2361no—
1795C22#123×D5914yes—
1796C22C22×D4×D5911yescharacteristic
1797C22C2×#41×D5911yescharacteristic
1798C22C2×#41×D5911yescharacteristic
1799C22C2×#41×D5911yescharacteristic
1800C22C2×#41×D5911yescharacteristic
1801C22H(5,𝔽2)×D5911yescharacteristic
1802C22H(5,𝔽2)×D5911yescharacteristic
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—1182no—
1816C4—1182no—
1817C4—1182no—
1818C4—2361no—
1819C4—2361no—
1820C4—2361no—
1821C4—2361no—
1822C4—2361no—
1823C4—2361no—
1824C4—2361no—
1825C4—2361no—
1826C4—2361no—
1827C2—24no—
1828C2—42no—
1829C2—81no—
1830C2—598no—
1831C2—1184no—
1832C2—4721no—
1833C2—2362no—
1834C2C2×#123×D5911yescharacteristic
1835C2#529×D5911yescharacteristic
1836C2#538×D5911yescharacteristic
1837C2#546×D5911yescharacteristic
1838C2#546×D5911yescharacteristic
1839C2#553×D5911yescharacteristic
1840C2#553×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2444C2
prime radicalC2×#121×D59C2
hypercenter#2444D59
hypocenterC59C2×#2444
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D59C2semidirect
3. #21427853C2semidirect
4. #21427852C2semidirect
5. #21427851C2semidirect
6. #21427850C2semidirect
7. #21427849C2semidirect
8. #21427848C2semidirect
9. #21427847C2semidirect
10. #21427846C2semidirect
11. #21427845C2semidirect
12. #21427844C2semidirect
13. #21427843C2semidirect
14. #21427842C2semidirect
15. #21427841C2semidirect
16. #21427840C2semidirect
17. #21427839C2semidirect
18. #400×D59C2semidirect
19. #397×D59C2semidirect
20. #397×D59C2semidirect
21. #394×D59C2semidirect
22. #388×D59C2semidirect
23. #387×D59C2semidirect
24. #386×D59C2semidirect
25. #386×D59C2semidirect
26. #386×D59C2semidirect
27. #386×D59C2semidirect
28. #385×D59C2semidirect
29. #381×D59C2semidirect
30. C2×#95×D59C2semidirect
31. C59×#2444C2semidirect
47. C2×C4×D236C22semidirect
48. C2×D4×Dic59C22semidirect
49. C2×#14273689C22semidirect
50. C2×C4×C22⋊D59C22semidirect
51. C2×C4×C22⋊D59C22semidirect
52. C2×(C22⋊D59)⋊C4C22semidirect
53. C2×(C22⋊D59)⋊C4C22semidirect
71. #16837344C22semidirect
72. #16837344C22semidirect
73. #16837343C22semidirect
74. #16837343C22semidirect
75. #16837342C22semidirect
76. #16837341C22semidirect
77. #16837340C22semidirect
78. #16837331C22semidirect
79. #16837331C22semidirect
80. #16837331C22semidirect
81. #16837331C22semidirect
82. #16837330C22semidirect
83. #16837330C22semidirect
84. #16837330C22semidirect
85. #16837330C22semidirect
86. #16837329C22semidirect
87. #16837329C22semidirect
88. #16837328C22semidirect
89. #16837328C22semidirect
90. #16837327C22semidirect
91. #16837327C22semidirect
92. #16837320C22semidirect
93. #16837319C22semidirect
94. #16837318C22semidirect
95. #16837318C22semidirect
96. #16837317C22semidirect
97. #16837317C22semidirect
98. #16837316C22semidirect
99. #16837296C22semidirect
100. #16837295C22semidirect
101. #16837294C22semidirect
102. #16837293C22semidirect
103. #16837292C22semidirect
104. #16837291C22semidirect
105. #16837290C22semidirect
106. #16837289C22semidirect
107. #16837288C22semidirect
108. #16837287C22semidirect
109. #16837286C22semidirect
110. #16837285C22semidirect
111. #16837284C22semidirect
112. #16837283C22semidirect
113. #16837282C22semidirect
114. #16837282C22semidirect
115. #16837282C22semidirect
116. #16837282C22semidirect
117. #16837281C22semidirect
118. #16837281C22semidirect
119. #16837281C22semidirect
120. #16837281C22semidirect
121. #16837280C22semidirect
122. #16837280C22semidirect
123. #16837280C22semidirect
124. #16837280C22semidirect
125. #16837280C22semidirect
126. #16837280C22semidirect
127. #16837280C22semidirect
128. #16837280C22semidirect
129. #16837279C22semidirect
130. #16837279C22semidirect
131. #16837279C22semidirect
132. #16837279C22semidirect
133. #16837278C22semidirect
134. #16837278C22semidirect
135. #16837278C22semidirect
136. #16837278C22semidirect
137. #16837278C22semidirect
138. #16837278C22semidirect
139. #16837278C22semidirect
140. #16837278C22semidirect
141. #16837277C22semidirect
142. #16837276C22semidirect
143. #16837276C22semidirect
144. #16837275C22semidirect
145. #16837274C22semidirect
146. #16837273C22semidirect
147. #16837273C22semidirect
148. #16837265C22semidirect
149. #16837264C22semidirect
150. #16837264C22semidirect
151. #16837264C22semidirect
152. #16837264C22semidirect
153. #16837263C22semidirect
154. #16837263C22semidirect
155. C2×C59⋊#95C22semidirect
156. C2×C59⋊#95C22semidirect
157. C2×C59⋊#95C22semidirect
170. #95×D59C22semidirect
171. #95×D59C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
175. C2×C4×D4×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#397C22semidirect
178. C59×#397C22semidirect
179. C59×#394C22semidirect
180. C59×#388C22semidirect
181. C59×#387C22semidirect
182. C59×#386C22semidirect
183. C59×#386C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
186. C59×#385C22semidirect
187. C59×#381C22semidirect
188. C2×#95×C59C22semidirect
924. #2444D59direct (N × H)
951. D59#2444direct (N × H)
976. C2×C4×D4C2×D59semidirect
1000. #400C2×D59semidirect
1015. #397C2×D59semidirect
1016. #397C2×D59semidirect
1024. #394C2×D59semidirect
1032. #388C2×D59semidirect
1040. #387C2×D59semidirect
1069. #386C2×D59semidirect
1070. #386C2×D59semidirect
1071. #386C2×D59semidirect
1072. #386C2×D59semidirect
1080. #385C2×D59semidirect
1088. #381C2×D59semidirect
1108. C2×#95C2×D59semidirect
1109. C59C2×#2444semidirect

Maximal subgroups

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

subgroupindex
C2×#121×D592
C2×C4×D4×D592
#214278532
#214278522
#214278512
#214278502
#214278492
#214278482
#214278472
#214278462
#214278452
#214278442
#214278432
#214278422
#214278412
#214278402
#214278392
#400×D592
#397×D592
#394×D592
#388×D592
#387×D592
#386×D592
#385×D592
#381×D592
C2×#95×D592
C59×#24442
C2×#244459