Finite Group Databasebeta

← D59×#2471 #28757255

Subgroups — D59×#2471 #28757255

Order 15104.

3330 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D59C211yesmaximal, characteristic, complemented
2C2×#117×D59C211yesmaximal, characteristic, complemented
3#21428214C211yesmaximal, characteristic, complemented
4#21428213C211yesmaximal, characteristic, complemented
5#21428212C211yesmaximal, characteristic, complemented
6#21428211C211yesmaximal, characteristic, complemented
7#21428210C211yesmaximal, characteristic, complemented
8#21428209C211yesmaximal, characteristic, complemented
9#21428208C211yesmaximal, characteristic, complemented
10#21428207C211yesmaximal, characteristic, complemented
11#21428206C211yesmaximal, characteristic, complemented
12#21428205C211yesmaximal, characteristic, complemented
13#21428204C211yesmaximal, characteristic, complemented
14#21428203C211yesmaximal, characteristic, complemented
15#21428202C211yesmaximal, characteristic, complemented
16#21428201C211yesmaximal, characteristic, complemented
17#21428200C211yesmaximal, characteristic, complemented
18#399×D59C211yesmaximal, characteristic, complemented
19#397×D59C211yesmaximal, characteristic, complemented
20#396×D59C211yesmaximal, characteristic, complemented
21#392×D59C211yesmaximal, characteristic
22#390×D59C211yesmaximal, characteristic, complemented
23#390×D59C211yesmaximal, characteristic, complemented
24#388×D59C211yesmaximal, characteristic, complemented
25#387×D59C211yesmaximal, characteristic, complemented
26#387×D59C211yesmaximal, characteristic, complemented
27#386×D59C211yesmaximal, characteristic, complemented
28#386×D59C211yesmaximal, characteristic, complemented
29#386×D59C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2471C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic
36C23×C4×D59C2211yescharacteristic
37C2×#14273712C2211yescharacteristic, complemented
38C2×#14273712C2211yescharacteristic, complemented
39C2×#14273711C2211yescharacteristic, complemented
40C2×#14273710C2211yescharacteristic, complemented
41C2×#14273709C2211yescharacteristic, complemented
42C2×#14273709C2211yescharacteristic, complemented
43C2×#14273708C2211yescharacteristic, complemented
44#123×D59—28no—
45C2×#14273686C2211yescharacteristic, complemented
46C2×#14273685C2211yescharacteristic, complemented
47C2×#14273685C2211yescharacteristic, complemented
48C2×#14273684C2211yescharacteristic, complemented
49C2×#14273684C2211yescharacteristic, complemented
50C2×#14273683C2211yescharacteristic, complemented
51C2×#14273683C2211yescharacteristic, complemented
52#117×D59—28no—
53C2×C4⋊C4×D59C2211yescharacteristic
54C2×C4⋊C4×D59C2211yescharacteristic
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×C22⋊C4×D59C2211yescharacteristic
71C2×C22⋊C4×D59C2211yescharacteristic
72C2×C42×D59C2211yescharacteristic
73C2×C42×D59C2211yescharacteristic
74C2×C42×D59C2211yescharacteristic
75#16837339C2211yescharacteristic, complemented
76#16837338C2211yescharacteristic, complemented
77#16837338C2211yescharacteristic, complemented
78#16837338C2211yescharacteristic, complemented
79#16837337C2211yescharacteristic, complemented
80#16837337C2211yescharacteristic, complemented
81#16837337C2211yescharacteristic, complemented
82#16837331C2211yescharacteristic, complemented
83#16837331C2211yescharacteristic, complemented
84#16837330C2211yescharacteristic, complemented
85#16837330C2211yescharacteristic, complemented
86#16837329C2211yescharacteristic, complemented
87#16837328C2211yescharacteristic, complemented
88#16837327C2211yescharacteristic, complemented
89#16837326C2211yescharacteristic, complemented
90#16837325C2211yescharacteristic, complemented
91#16837325C2211yescharacteristic, complemented
92#16837325C2211yescharacteristic, complemented
93#16837324C2211yescharacteristic, complemented
94#16837324C2211yescharacteristic, complemented
95#16837324C2211yescharacteristic, complemented
96#16837312C2211yescharacteristic
97#16837311C2211yescharacteristic
98#16837311C2211yescharacteristic
99#16837311C2211yescharacteristic
100#16837310C2211yescharacteristic
101#16837310C2211yescharacteristic
102#16837310C2211yescharacteristic
103#16837305C2211yescharacteristic, complemented
104#16837305C2211yescharacteristic, complemented
105#16837304C2211yescharacteristic, complemented
106#16837304C2211yescharacteristic, complemented
107#16837303C2211yescharacteristic, complemented
108#16837303C2211yescharacteristic, complemented
109#16837302C2211yescharacteristic, complemented
110#16837302C2211yescharacteristic, complemented
111#16837302C2211yescharacteristic, complemented
112#16837302C2211yescharacteristic, complemented
113#16837302C2211yescharacteristic, complemented
114#16837302C2211yescharacteristic, complemented
115#16837302C2211yescharacteristic, complemented
116#16837302C2211yescharacteristic, complemented
117#16837296C2211yescharacteristic, complemented
118#16837295C2211yescharacteristic, complemented
119#16837294C2211yescharacteristic, complemented
120#16837293C2211yescharacteristic, complemented
121#16837292C2211yescharacteristic, complemented
122#16837291C2211yescharacteristic, complemented
123#16837290C2211yescharacteristic, complemented
124#16837289C2211yescharacteristic, complemented
125#16837289C2211yescharacteristic, complemented
126#16837288C2211yescharacteristic, complemented
127#16837288C2211yescharacteristic, complemented
128#16837287C2211yescharacteristic, complemented
129#16837287C2211yescharacteristic, complemented
130#16837286C2211yescharacteristic, complemented
131#16837286C2211yescharacteristic, complemented
132#16837285C2211yescharacteristic, complemented
133#16837285C2211yescharacteristic, complemented
134#16837284C2211yescharacteristic, complemented
135#16837284C2211yescharacteristic, complemented
136#16837283C2211yescharacteristic, complemented
137#16837283C2211yescharacteristic, complemented
138#16837282C2211yescharacteristic, complemented
139#16837282C2211yescharacteristic, complemented
140#16837282C2211yescharacteristic, complemented
141#16837281C2211yescharacteristic, complemented
142#16837281C2211yescharacteristic, complemented
143#16837281C2211yescharacteristic, complemented
144#16837280C2211yescharacteristic, complemented
145#16837280C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic, complemented
147#16837280C2211yescharacteristic, complemented
148#16837280C2211yescharacteristic, complemented
149#16837280C2211yescharacteristic, complemented
150#16837279C2211yescharacteristic, complemented
151#16837279C2211yescharacteristic, complemented
152#16837279C2211yescharacteristic, complemented
153#16837278C2211yescharacteristic, complemented
154#16837278C2211yescharacteristic, complemented
155#16837278C2211yescharacteristic, complemented
156#16837278C2211yescharacteristic, complemented
157#16837278C2211yescharacteristic, complemented
158#16837278C2211yescharacteristic, complemented
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163C4×C22⋊Dic59C2211yescharacteristic, complemented
164#16837249C2211yescharacteristic, complemented
165#16837249C2211yescharacteristic, complemented
166#95×D59C2211yescharacteristic
167#95×D59C2211yescharacteristic
168#95×D59C2211yescharacteristic
169#95×D59C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172#95×D59C2211yescharacteristic
173#95×D59C2211yescharacteristic
174C2×#123×C59C2211yescharacteristic, complemented
175C2×#117×C59C2211yescharacteristic, complemented
176C59×#399C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic, complemented
178C59×#396C2211yescharacteristic, complemented
179C59×#392C2211yescharacteristic
180C59×#390C2211yescharacteristic, complemented
181C59×#390C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#387C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic, complemented
187C59×#386C2211yescharacteristic, complemented
188C4×C22⋊C4×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—42no—
208C2×D4×D59—42no—
209C2×D4×D59—42no—
210C23×Dic59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C22×C4×D59—24no—
213C22×C4×D59—24no—
214C22×C4×D59—24no—
215C22×C4×D59—24no—
216C22×C4×D59—24no—
217C22×C4×D59—42no—
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233C22×C4×D59C2311yescharacteristic
234#14273712—24no—
235#14273712—24no—
236#14273711—24no—
237#14273710—24no—
238#14273709—24no—
239#14273709—24no—
240#14273708—24no—
241#14273686—24no—
242#14273685—24no—
243#14273685—24no—
244#14273684—24no—
245#14273684—24no—
246#14273683—24no—
247#14273683—24no—
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C4⋊C4×D59—24no—
267C4⋊C4×D59—24no—
268C4⋊C4×D59—24no—
269C4⋊C4×D59—42no—
270C4⋊C4×D59—42no—
271C4⋊C4×D59D418yescomplemented
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4C2311yescharacteristic
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
311C22⋊C4×D59—24no—
312C22⋊C4×D59—24no—
313C22⋊C4×D59—24no—
314C22⋊C4×D59—24no—
315C22⋊C4×D59—24no—
316C22⋊C4×D59—24no—
317C22⋊C4×D59—24no—
318C22⋊C4×D59—24no—
319C22⋊C4×D59—42no—
320C22⋊C4×D59—42no—
321C22⋊C4×D59—42no—
322C22⋊C4×D59—42no—
323C22⋊C4×D59—42no—
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C2×C4×Dic59C2311yescharacteristic
328C2×C4×Dic59C2311yescharacteristic
329C2×C4×Dic59C2311yescharacteristic
330C2×C4×Dic59C2311yescharacteristic
331C2×C4×Dic59C2311yescharacteristic
332C2×C4×Dic59C2311yescharacteristic
333C42×D59—24no—
334C42×D59—24no—
335C42×D59—42no—
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
365#123×C59—24no—
366#117×C59—24no—
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C4⋊C4×C59C2311yescharacteristic
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×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C42×C59C2311yescharacteristic
387C2×C42×C59C2311yescharacteristic
388C2×C42×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×D59—22no—
418C23×D59—22no—
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—41no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C22×C4×C59—22no—
435C22×C4×C59—22no—
436C22×C4×C59—22no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—41no—
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
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—41no—
465C2×C22⋊D59—41no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C22×Dic59—22no—
471C22×Dic59—22no—
472C22×Dic59—22no—
473C22×Dic59—22no—
474C22×Dic59—22no—
475C22×Dic59—41no—
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488D4×D59—416no—
489D4×D59—416no—
490D4×D59—416no—
491C2×D236—22no—
492C2×D236—22no—
493C2×D236—22no—
494C2×D236—22no—
495C2×D236—22no—
496C2×D236—22no—
497C2×D236—41no—
498C2×D236—41no—
499C2×D236—41no—
500C2×C4×D59—232no—
501C2×C4×D59—22no—
502C2×C4×D59—22no—
503C2×C4×D59—22no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—22no—
510C2×C4×D59—22no—
511C2×C4×D59—22no—
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—416no—
543C2×C4×D59—41no—
544C2×C4×D59—41no—
545C2×C4×D59C2×D414yes—
546C2×C4×D59C2×D414yes—
547C2×C4×D59C2×D414yes—
548C2×C4×D59#4114yes—
549C2×C4×D59#4114yes—
550C4⋊C4×C59—22no—
551C4⋊C4×C59—22no—
552C4⋊C4×C59—22no—
553C4⋊C4×C59—41no—
554C4⋊C4×C59—41no—
555C4⋊C4×C59C2×D414yescomplemented
556C22⋊C4×C59—22no—
557C22⋊C4×C59—22no—
558C22⋊C4×C59—22no—
559C22⋊C4×C59—22no—
560C22⋊C4×C59—22no—
561C22⋊C4×C59—22no—
562C22⋊C4×C59—22no—
563C22⋊C4×C59—22no—
564C22⋊C4×C59—41no—
565C22⋊C4×C59—41no—
566C22⋊C4×C59—41no—
567C22⋊C4×C59—41no—
568C22⋊C4×C59—41no—
569C42×C59—22no—
570C42×C59—22no—
571C42×C59—41no—
572C22⋊Dic59—22no—
573C22⋊Dic59—22no—
574C22⋊Dic59—22no—
575C22⋊Dic59—22no—
576C22⋊Dic59—22no—
577C22⋊Dic59—22no—
578C22⋊Dic59—22no—
579C22⋊Dic59—22no—
580C22⋊Dic59—41no—
581C22⋊Dic59—41no—
582C22⋊Dic59—41no—
583C22⋊Dic59—41no—
584C22⋊Dic59—41no—
585(C2×D59)⋊C4—22no—
586(C2×D59)⋊C4—22no—
587(C2×D59)⋊C4—22no—
588(C2×D59)⋊C4—22no—
589(C2×D59)⋊C4—22no—
590(C2×D59)⋊C4—22no—
591(C2×D59)⋊C4—22no—
592(C2×D59)⋊C4—22no—
593(C2×D59)⋊C4—22no—
594(C2×D59)⋊C4—22no—
595(C2×D59)⋊C4—22no—
596(C2×D59)⋊C4—22no—
597(C2×D59)⋊C4—22no—
598(C2×D59)⋊C4—22no—
599(C2×D59)⋊C4—22no—
600(C2×D59)⋊C4—22no—
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)⋊C4—41no—
609(C2×D59)⋊C4—41no—
610(C2×D59)⋊C4—41no—
611C4⋊Dic59—22no—
612C4⋊Dic59—22no—
613C4⋊Dic59—22no—
614C4⋊Dic59—41no—
615C4⋊Dic59—41no—
616C4⋊Dic59C2×D414yescomplemented
617Dic59⋊C4—22no—
618Dic59⋊C4—22no—
619Dic59⋊C4—22no—
620Dic59⋊C4—22no—
621Dic59⋊C4—22no—
622Dic59⋊C4—22no—
623Dic59⋊C4—41no—
624Dic59⋊C4—41no—
625Dic59⋊C4—41no—
626Dic59⋊C4—41no—
627Dic59⋊C4C2×D414yescomplemented
628Dic59⋊C4C2×D414yescomplemented
629C4×Dic59—22no—
630C4×Dic59—22no—
631C4×Dic59—22no—
632C4×Dic59—22no—
633C4×Dic59—22no—
634C4×Dic59—22no—
635C4×Dic59—41no—
636C4×Dic59—41no—
637C4×Dic59—41no—
638C23×C59—21no—
639C23×C59—21no—
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×C59C2×#4112yes—
658C23×C59C2×#4112yes—
659C23×C59C2511yescharacteristic
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—28no—
673C22×D59—28no—
674C22×D59—28no—
675C22×D59—28no—
676C22×D59—28no—
677C22×D59—28no—
678C22×D59—21no—
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—21no—
685C22×D59—44no—
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—44no—
695C22×D59—44no—
696C22×D59—44no—
697C22×D59—44no—
698C22×D59—44no—
699C22×D59—44no—
700C22×D59C22×D412yes—
701C22×D59C2×#4112yes—
702C22×D59C2×#4112yes—
703C22×D59C2×#4112yes—
704C22×D59C2×#4112yes—
705C22×D59C2×#4112yes—
706C22×D59C2×#4112yes—
707C22×D59H(5,𝔽2)12yes—
708C22×D59H(5,𝔽2)12yes—
709D4×C59—44no—
710D4×C59—44no—
711D4×C59—44no—
712C2×C4×C59—28no—
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—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—44no—
745C2×C4×C59C22×D412yes—
746C2×C4×C59C22×D412yes—
747C2×C4×C59C22×D412yes—
748C2×C4×C59C2×#4112yes—
749C2×C4×C59C2×#4112yes—
750C22⋊D59—44no—
751C22⋊D59—44no—
752C22⋊D59—44no—
753C22⋊D59—44no—
754C22⋊D59—44no—
755C22⋊D59—44no—
756C2×Dic59—28no—
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—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—44no—
789C2×Dic59C22×D412yes—
790C2×Dic59C22×D412yes—
791C2×Dic59C22×D412yes—
792C2×Dic59C2×#4112yes—
793C2×Dic59C2×#4112yes—
794D236—44no—
795D236—44no—
796D236—44no—
797C4×D59—28no—
798C4×D59—28no—
799C4×D59—28no—
800C4×D59—28no—
801C4×D59—28no—
802C4×D59—28no—
803C4×D59—28no—
804C4×D59—44no—
805C4×D59—44no—
806C4×D59—44no—
807C4×D59—44no—
808C4×D59—44no—
809C4×D59—44no—
810C4×D59—44no—
811C4×D59—44no—
812C4×D59—44no—
813C2×#2471—591nomaximal, Sylow
814C22×C59—22no—
815C22×C59—22no—
816C22×C59—22no—
817C22×C59—22no—
818C22×C59—22no—
819C22×C59—22no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59C23×D411yescharacteristic
836C22×C59C22×#4111yescharacteristic
837C22×C59C22×#4111yescharacteristic
838C22×C59C22×#4111yescharacteristic
839C22×C59C22×#4111yescharacteristic
840C22×C59C2×H(5,𝔽2)11yescharacteristic
841C22×C59C2×H(5,𝔽2)11yescharacteristic
842C2×D59—22no—
843C2×D59—22no—
844C2×D59—22no—
845C2×D59—22no—
846C2×D59—22no—
847C2×D59—22no—
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—416no—
857C2×D59—416no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—88no—
866C2×D59#52514yes—
867C2×D59#52914yes—
868C2×D59#54014yes—
869C2×D59#54614yes—
870C2×D59#55014yes—
871C2×D59#55114yes—
872C2×D59#55114yes—
873C4×C59—22no—
874C4×C59—22no—
875C4×C59—22no—
876C4×C59—22no—
877C4×C59—22no—
878C4×C59—41no—
879C4×C59—41no—
880C4×C59—41no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885Dic59—22no—
886Dic59—22no—
887Dic59—22no—
888Dic59—22no—
889Dic59—22no—
890Dic59—41no—
891Dic59—41no—
892Dic59—41no—
893Dic59—41no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897C22×#123—591no—
898C22×#117—591no—
899#2471—591no—
900#2471—591no—
901#2471—591no—
902#2471—591no—
903#2471—591no—
904#2471—591no—
905#2471—591no—
906#2471—591no—
907#2471—591no—
908#2471—591no—
909#2471—591no—
910#2471—591no—
911#2471—591no—
912#2471—591no—
913#2471—591no—
914#2471D5911yescharacteristic, direct product factor
915C2×#399—591no—
916C2×#397—591no—
917C2×#396—591no—
918C2×#392—591no—
919C2×#390—591no—
920C2×#390—591no—
921C2×#388—591no—
922C2×#387—591no—
923C2×#387—591no—
924C2×#386—591no—
925C2×#386—591no—
926C2×#386—591no—
927C2×C4×C22⋊C4—591no—
928C2×C59—42no—
929C2×C59—42no—
930C2×C59—81no—
931C2×C59C2×#52511yescharacteristic
932C2×C59C2×#52911yescharacteristic
933C2×C59C2×#54011yescharacteristic
934C2×C59C2×#54611yescharacteristic
935C2×C59C2×#55011yescharacteristic
936C2×C59C2×#55111yescharacteristic
937C2×C59C2×#55111yescharacteristic
938D59—42no—
939D59—42no—
940D59—81no—
941D59#247118yesdirect product factor
942C23×D4—591no—
943C23×D4—591no—
944C23×D4—591no—
945C24×C4—591no—
946C24×C4—591no—
947C2×#123—591no—
948C2×#123—591no—
949C2×#123—591no—
950C2×#123—591no—
951C2×#123—591no—
952C2×#123—591no—
953C2×#123—591no—
954C2×#123—1188no—
955C2×#123C2×D5911yescharacteristic, complemented
956C2×#117—591no—
957C2×#117—591no—
958C2×#117—591no—
959C2×#117—591no—
960C2×#117—591no—
961C2×#117—591no—
962C2×#117—591no—
963C2×#117—1188no—
964C2×#117C2×D5911yescharacteristic, complemented
965C22×C4⋊C4—591no—
966C22×C4⋊C4—591no—
967C22×C4⋊C4—591no—
968C22×C4⋊C4—591no—
969C22×C4⋊C4—591no—
970C22×C4⋊C4—591no—
971C22×C22⋊C4—591no—
972C22×C22⋊C4—591no—
973C22×C22⋊C4—591no—
974C22×C22⋊C4—591no—
975C22×C22⋊C4—591no—
976C22×C22⋊C4—591no—
977C22×C22⋊C4—591no—
978C22×C22⋊C4—591no—
979C22×C22⋊C4—591no—
980C22×C22⋊C4—591no—
981C22×C22⋊C4—591no—
982C22×C22⋊C4—591no—
983C22×C22⋊C4—591no—
984C22×C42—591no—
985C22×C42—591no—
986C22×C42—591no—
987#399—591no—
988#399—591no—
989#399—591no—
990#399—591no—
991#399—591no—
992#399—591no—
993#399—591no—
994#399C2×D5911yescharacteristic, complemented
995#397—591no—
996#397—591no—
997#397—591no—
998#397—591no—
999#397—591no—
1000#397—591no—
1001#397—591no—
1002#397C2×D5911yescharacteristic, complemented
1003#396—591no—
1004#396—591no—
1005#396—591no—
1006#396—591no—
1007#396—591no—
1008#396—591no—
1009#396—591no—
1010#396C2×D5911yescharacteristic, complemented
1011#392—591no—
1012#392—591no—
1013#392—591no—
1014#392—591no—
1015#392—591no—
1016#392—591no—
1017#392—591no—
1018#392C2×D5911yescharacteristic
1019#390—591no—
1020#390—591no—
1021#390—591no—
1022#390—591no—
1023#390—591no—
1024#390—591no—
1025#390—591no—
1026#390—591no—
1027#390—591no—
1028#390—591no—
1029#390—591no—
1030#390—591no—
1031#390—591no—
1032#390—591no—
1033#390C2×D5911yescharacteristic, complemented
1034#390C2×D5911yescharacteristic, complemented
1035#388—591no—
1036#388—591no—
1037#388—591no—
1038#388—591no—
1039#388—591no—
1040#388—591no—
1041#388—591no—
1042#388C2×D5911yescharacteristic, complemented
1043#387—591no—
1044#387—591no—
1045#387—591no—
1046#387—591no—
1047#387—591no—
1048#387—591no—
1049#387—591no—
1050#387—591no—
1051#387—591no—
1052#387—591no—
1053#387—591no—
1054#387—591no—
1055#387—591no—
1056#387—591no—
1057#387C2×D5911yescharacteristic, complemented
1058#387C2×D5911yescharacteristic, complemented
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#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#386—591no—
1079#386—591no—
1080#386C2×D5911yescharacteristic, complemented
1081#386C2×D5911yescharacteristic, complemented
1082#386C2×D5911yescharacteristic, complemented
1083C4×C22⋊C4—591no—
1084C4×C22⋊C4—591no—
1085C4×C22⋊C4—591no—
1086C4×C22⋊C4—591no—
1087C4×C22⋊C4—591no—
1088C4×C22⋊C4—591no—
1089C4×C22⋊C4—591no—
1090C4×C22⋊C4C2×D5911yescharacteristic, complemented
1091C2×#95—591no—
1092C2×#95—591no—
1093C2×#95—591no—
1094C2×#95—591no—
1095C2×#95—591no—
1096C2×#95—591no—
1097C2×#95—591no—
1098C2×#95—591no—
1099C59C2×#247111yescharacteristic, complemented, Sylow
1100C25—591no—
1101C25—591no—
1102C25—591no—
1103C22×D4—591no—
1104C22×D4—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—591no—
1111C22×D4—591no—
1112C22×D4—1184no—
1113C22×D4—1184no—
1114C22×D4—1184no—
1115C22×D4—1184no—
1116C22×D4—1184no—
1117C22×D4—1184no—
1118C22×D4—2362no—
1119C22×D4—2362no—
1120C22×D4—2362no—
1121C22×D4C22×D5911yescharacteristic
1122C22×D4C22×D5911yescharacteristic
1123C22×D4C22×D5911yescharacteristic
1124C23×C4—591no—
1125C23×C4—591no—
1126C23×C4—591no—
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—591no—
1136C23×C4—591no—
1137C23×C4—591no—
1138C23×C4—591no—
1139C23×C4—591no—
1140C23×C4—591no—
1141C23×C4—591no—
1142C23×C4—1184no—
1143C23×C4—1184no—
1144C23×C4—1184no—
1145C23×C4—1184no—
1146C23×C4—1184no—
1147C23×C4—2362no—
1148C23×C4C22×D5911yescharacteristic
1149C23×C4C22×D5911yescharacteristic
1150#123—24no—
1151#123—1184no—
1152#123—1184no—
1153#123—1184no—
1154#123—1184no—
1155#123—1184no—
1156#123—1184no—
1157#123—1184no—
1158#117—24no—
1159#117—1184no—
1160#117—1184no—
1161#117—1184no—
1162#117—1184no—
1163#117—1184no—
1164#117—1184no—
1165#117—1184no—
1166C2×C4⋊C4—591no—
1167C2×C4⋊C4—591no—
1168C2×C4⋊C4—591no—
1169C2×C4⋊C4—598no—
1170C2×C4⋊C4—591no—
1171C2×C4⋊C4—591no—
1172C2×C4⋊C4—591no—
1173C2×C4⋊C4—591no—
1174C2×C4⋊C4—591no—
1175C2×C4⋊C4—591no—
1176C2×C4⋊C4—591no—
1177C2×C4⋊C4—591no—
1178C2×C4⋊C4—591no—
1179C2×C4⋊C4—591no—
1180C2×C4⋊C4—591no—
1181C2×C4⋊C4—591no—
1182C2×C4⋊C4—591no—
1183C2×C4⋊C4—591no—
1184C2×C4⋊C4—591no—
1185C2×C4⋊C4—1184no—
1186C2×C4⋊C4—1184no—
1187C2×C4⋊C4—1184no—
1188C2×C4⋊C4—2362no—
1189C2×C4⋊C4—2362no—
1190C2×C4⋊C4C22×D5911yescharacteristic
1191C2×C4⋊C4C22×D5911yescharacteristic
1192C2×C4⋊C4C22×D5911yescharacteristic
1193C2×C4⋊C4C22×D5911yescharacteristic
1194C2×C4⋊C4C22×D5911yescharacteristic
1195C2×C4⋊C4C22×D5911yescharacteristic
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—591no—
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—1184no—
1236C2×C22⋊C4—1184no—
1237C2×C22⋊C4—1184no—
1238C2×C22⋊C4—1184no—
1239C2×C22⋊C4—1184no—
1240C2×C22⋊C4—1184no—
1241C2×C22⋊C4—1184no—
1242C2×C22⋊C4—1184no—
1243C2×C22⋊C4—2362no—
1244C2×C22⋊C4—2362no—
1245C2×C22⋊C4—2362no—
1246C2×C22⋊C4—2362no—
1247C2×C22⋊C4—2362no—
1248C2×C22⋊C4C22×D5911yescharacteristic
1249C2×C22⋊C4C22×D5911yescharacteristic
1250C2×C22⋊C4C22×D5911yescharacteristic
1251C2×C22⋊C4C22×D5911yescharacteristic
1252C2×C22⋊C4C22×D5911yescharacteristic
1253C2×C22⋊C4C22×D5911yescharacteristic
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×C42—591no—
1262C2×C42—591no—
1263C2×C42—591no—
1264C2×C42—591no—
1265C2×C42—591no—
1266C2×C42—591no—
1267C2×C42—591no—
1268C2×C42—591no—
1269C2×C42—591no—
1270C2×C42—1184no—
1271C2×C42—1184no—
1272C2×C42—2362no—
1273C2×C42C22×D5911yescharacteristic
1274C2×C42C22×D5911yescharacteristic
1275C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1301#95C22×D5911yescharacteristic
1302#95C22×D5911yescharacteristic
1303#95C22×D5911yescharacteristic
1304#95C22×D5911yescharacteristic
1305#95C22×D5911yescharacteristic
1306#95C22×D5911yescharacteristic
1307#95C22×D5911yescharacteristic
1308C24—591no—
1309C24—594no—
1310C24—594no—
1311C24—591no—
1312C24—591no—
1313C24—591no—
1314C24—1182no—
1315C24—1182no—
1316C24—1182no—
1317C24—1182no—
1318C24—1182no—
1319C24—1182no—
1320C24—1182no—
1321C24—1182no—
1322C24—1182no—
1323C24—1182no—
1324C24—1182no—
1325C24—1182no—
1326C24—1182no—
1327C24—1182no—
1328C24—1182no—
1329C24—1182no—
1330C24—1182no—
1331C24—1182no—
1332C24—1182no—
1333C24C23×D5911yescharacteristic
1334C24C23×D5911yescharacteristic
1335C24C23×D5911yescharacteristic
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
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—1182no—
1355C2×D4—1182no—
1356C2×D4—1182no—
1357C2×D4—1182no—
1358C2×D4—1182no—
1359C2×D4—1182no—
1360C2×D4—1182no—
1361C2×D4—1182no—
1362C2×D4—1182no—
1363C2×D4—2361no—
1364C2×D4—2361no—
1365C2×D4—2361no—
1366C2×D4—23616no—
1367C2×D4—23616no—
1368C2×D4—2361no—
1369C2×D4—2361no—
1370C2×D4—2361no—
1371C2×D4—2361no—
1372C2×D4—2361no—
1373C2×D4—2361no—
1374C2×D4—23616no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—41no—
1381C22×C4—591no—
1382C22×C4—591no—
1383C22×C4—591no—
1384C22×C4—591no—
1385C22×C4—591no—
1386C22×C4—594no—
1387C22×C4—594no—
1388C22×C4—594no—
1389C22×C4—594no—
1390C22×C4—594no—
1391C22×C4—591no—
1392C22×C4—591no—
1393C22×C4—591no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—1182no—
1399C22×C4—1182no—
1400C22×C4—1182no—
1401C22×C4—1182no—
1402C22×C4—1182no—
1403C22×C4—1182no—
1404C22×C4—1182no—
1405C22×C4—1182no—
1406C22×C4—1182no—
1407C22×C4—1182no—
1408C22×C4—1182no—
1409C22×C4—1182no—
1410C22×C4—1182no—
1411C22×C4—1182no—
1412C22×C4—1182no—
1413C22×C4—11832no—
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—2361no—
1446C22×C4—2361no—
1447C22×C4—23616no—
1448C22×C4—2361no—
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452C22×C4C23×D5911yescharacteristic
1453C22×C4C23×D5911yescharacteristic
1454C22×C4C23×D5911yescharacteristic
1455C22×C4C23×D5911yescharacteristic
1456C22×C4C23×D5911yescharacteristic
1457C22×C4C23×D5911yescharacteristic
1458C22×C4C23×D5911yescharacteristic
1459C22×C4C23×D5911yescharacteristic
1460C22×C4C23×D5911yescharacteristic
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—41no—
1465C4⋊C4—41no—
1466C4⋊C4—594no—
1467C4⋊C4—594no—
1468C4⋊C4—594no—
1469C4⋊C4—1182no—
1470C4⋊C4—1182no—
1471C4⋊C4—1182no—
1472C4⋊C4—1182no—
1473C4⋊C4—1182no—
1474C4⋊C4—1182no—
1475C4⋊C4—1182no—
1476C4⋊C4—1182no—
1477C4⋊C4—1182no—
1478C4⋊C4—2361no—
1479C4⋊C4—2361no—
1480C4⋊C4—2361no—
1481C4⋊C4—2361no—
1482C4⋊C4—2361no—
1483C4⋊C4—2361no—
1484C4⋊C4D4×D5914yescomplemented
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
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—1182no—
1507C22⋊C4—1182no—
1508C22⋊C4—1182no—
1509C22⋊C4—1182no—
1510C22⋊C4—1182no—
1511C22⋊C4—1182no—
1512C22⋊C4—1182no—
1513C22⋊C4—1182no—
1514C22⋊C4—1182no—
1515C22⋊C4—1182no—
1516C22⋊C4—1182no—
1517C22⋊C4—1182no—
1518C22⋊C4—1182no—
1519C22⋊C4—1182no—
1520C22⋊C4—1182no—
1521C22⋊C4—1182no—
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⋊C4—2361no—
1533C22⋊C4—2361no—
1534C22⋊C4—2361no—
1535C22⋊C4—2361no—
1536C22⋊C4—2361no—
1537C42—22no—
1538C42—22no—
1539C42—41no—
1540C42—1182no—
1541C42—1182no—
1542C42—1182no—
1543C42—1182no—
1544C42—1182no—
1545C42—1182no—
1546C42—2361no—
1547C42—2361no—
1548C42—2361no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—592no—
1569C23—592no—
1570C23—592no—
1571C23—592no—
1572C23—592no—
1573C23—592no—
1574C23—592no—
1575C23—592no—
1576C23—592no—
1577C23—1188no—
1578C23—1188no—
1579C23—1188no—
1580C23—1188no—
1581C23—1188no—
1582C23—1188no—
1583C23—1181no—
1584C23—1181no—
1585C23—1181no—
1586C23—1181no—
1587C23—1181no—
1588C23—1181no—
1589C23—1181no—
1590C23—1181no—
1591C23—1181no—
1592C23—1181no—
1593C23—1181no—
1594C23—1181no—
1595C23—1181no—
1596C23—1181no—
1597C23—1181no—
1598C23—1181no—
1599C23—1181no—
1600C23—1181no—
1601C23—1181no—
1602C23—2364no—
1603C23—2364no—
1604C23—2364no—
1605C23—2364no—
1606C23—2364no—
1607C23—2364no—
1608C23—2364no—
1609C23—2364no—
1610C23—2364no—
1611C23—2364no—
1612C23—2364no—
1613C23—2364no—
1614C23—2364no—
1615C23—2364no—
1616C23—2364no—
1617C23#41×D5912yes—
1618C23#41×D5912yes—
1619C23C24×D5911yescharacteristic
1620D4—44no—
1621D4—44no—
1622D4—44no—
1623D4—2364no—
1624D4—2364no—
1625D4—2364no—
1626D4—2364no—
1627D4—2364no—
1628D4—2364no—
1629D4—2364no—
1630D4—2364no—
1631D4—2364no—
1632C2×C4—28no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—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—44no—
1665C2×C4—592no—
1666C2×C4—592no—
1667C2×C4—592no—
1668C2×C4—592no—
1669C2×C4—592no—
1670C2×C4—1188no—
1671C2×C4—1188no—
1672C2×C4—1188no—
1673C2×C4—1188no—
1674C2×C4—1188no—
1675C2×C4—1188no—
1676C2×C4—1188no—
1677C2×C4—1188no—
1678C2×C4—1181no—
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—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—2364no—
1710C2×C4—2364no—
1711C2×C4—2364no—
1712C2×C4—2364no—
1713C2×C4—2364no—
1714C2×C4—2364no—
1715C2×C4—2364no—
1716C2×C4—2364no—
1717C2×C4—2364no—
1718C2×C4—2364no—
1719C2×C4C2×D4×D5912yes—
1720C2×C4C2×D4×D5912yes—
1721C2×C4C2×D4×D5912yes—
1722C2×C4#41×D5912yes—
1723C2×C4#41×D5912yes—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—594no—
1746C22—594no—
1747C22—594no—
1748C22—594no—
1749C22—594no—
1750C22—594no—
1751C22—594no—
1752C22—1182no—
1753C22—1182no—
1754C22—1182no—
1755C22—1182no—
1756C22—1182no—
1757C22—1182no—
1758C22—4728no—
1759C22—23616no—
1760C22—23616no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22—2361no—
1770C22—2361no—
1771C22—2361no—
1772C22—2361no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22C22×D4×D5911yescharacteristic
1777C22C2×#41×D5911yescharacteristic
1778C22C2×#41×D5911yescharacteristic
1779C22C2×#41×D5911yescharacteristic
1780C22C2×#41×D5911yescharacteristic
1781C22H(5,𝔽2)×D5911yescharacteristic
1782C22H(5,𝔽2)×D5911yescharacteristic
1783C4—22no—
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—22no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—1182no—
1796C4—1182no—
1797C4—1182no—
1798C4—1182no—
1799C4—1182no—
1800C4—2361no—
1801C4—2361no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C2—42no—
1808C2—42no—
1809C2—81no—
1810C2—598no—
1811C2—4721no—
1812C2—2362no—
1813C2—2362no—
1814C2#525×D5911yescharacteristic
1815C2#529×D5911yescharacteristic
1816C2#540×D5911yescharacteristic
1817C2#546×D5911yescharacteristic
1818C2#550×D5911yescharacteristic
1819C2#551×D5911yescharacteristic
1820C2#551×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2471C2
prime radical#392×D59C2
hypercenter#2471D59
hypocenterC59C2×#2471
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2471

Complements

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

NH ≅ G/Ntype
1. C2×#123×D59C2semidirect
2. C2×#117×D59C2semidirect
3. #21428214C2semidirect
4. #21428213C2semidirect
5. #21428212C2semidirect
6. #21428211C2semidirect
7. #21428210C2semidirect
8. #21428209C2semidirect
9. #21428208C2semidirect
10. #21428207C2semidirect
11. #21428206C2semidirect
12. #21428205C2semidirect
13. #21428204C2semidirect
14. #21428203C2semidirect
15. #21428202C2semidirect
16. #21428201C2semidirect
17. #21428200C2semidirect
18. #399×D59C2semidirect
19. #397×D59C2semidirect
20. #396×D59C2semidirect
22. #390×D59C2semidirect
23. #390×D59C2semidirect
24. #388×D59C2semidirect
25. #387×D59C2semidirect
26. #387×D59C2semidirect
27. #386×D59C2semidirect
28. #386×D59C2semidirect
29. #386×D59C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2471C2semidirect
37. C2×#14273712C22semidirect
38. C2×#14273712C22semidirect
39. C2×#14273711C22semidirect
40. C2×#14273710C22semidirect
41. C2×#14273709C22semidirect
42. C2×#14273709C22semidirect
43. C2×#14273708C22semidirect
45. C2×#14273686C22semidirect
46. C2×#14273685C22semidirect
47. C2×#14273685C22semidirect
48. C2×#14273684C22semidirect
49. C2×#14273684C22semidirect
50. C2×#14273683C22semidirect
51. C2×#14273683C22semidirect
75. #16837339C22semidirect
76. #16837338C22semidirect
77. #16837338C22semidirect
78. #16837338C22semidirect
79. #16837337C22semidirect
80. #16837337C22semidirect
81. #16837337C22semidirect
82. #16837331C22semidirect
83. #16837331C22semidirect
84. #16837330C22semidirect
85. #16837330C22semidirect
86. #16837329C22semidirect
87. #16837328C22semidirect
88. #16837327C22semidirect
89. #16837326C22semidirect
90. #16837325C22semidirect
91. #16837325C22semidirect
92. #16837325C22semidirect
93. #16837324C22semidirect
94. #16837324C22semidirect
95. #16837324C22semidirect
103. #16837305C22semidirect
104. #16837305C22semidirect
105. #16837304C22semidirect
106. #16837304C22semidirect
107. #16837303C22semidirect
108. #16837303C22semidirect
109. #16837302C22semidirect
110. #16837302C22semidirect
111. #16837302C22semidirect
112. #16837302C22semidirect
113. #16837302C22semidirect
114. #16837302C22semidirect
115. #16837302C22semidirect
116. #16837302C22semidirect
117. #16837296C22semidirect
118. #16837295C22semidirect
119. #16837294C22semidirect
120. #16837293C22semidirect
121. #16837292C22semidirect
122. #16837291C22semidirect
123. #16837290C22semidirect
124. #16837289C22semidirect
125. #16837289C22semidirect
126. #16837288C22semidirect
127. #16837288C22semidirect
128. #16837287C22semidirect
129. #16837287C22semidirect
130. #16837286C22semidirect
131. #16837286C22semidirect
132. #16837285C22semidirect
133. #16837285C22semidirect
134. #16837284C22semidirect
135. #16837284C22semidirect
136. #16837283C22semidirect
137. #16837283C22semidirect
138. #16837282C22semidirect
139. #16837282C22semidirect
140. #16837282C22semidirect
141. #16837281C22semidirect
142. #16837281C22semidirect
143. #16837281C22semidirect
144. #16837280C22semidirect
145. #16837280C22semidirect
146. #16837280C22semidirect
147. #16837280C22semidirect
148. #16837280C22semidirect
149. #16837280C22semidirect
150. #16837279C22semidirect
151. #16837279C22semidirect
152. #16837279C22semidirect
153. #16837278C22semidirect
154. #16837278C22semidirect
155. #16837278C22semidirect
156. #16837278C22semidirect
157. #16837278C22semidirect
158. #16837278C22semidirect
159. C22⋊C4×Dic59C22semidirect
160. C22⋊C4×Dic59C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
163. C4×C22⋊Dic59C22semidirect
164. #16837249C22semidirect
165. #16837249C22semidirect
174. C2×#123×C59C22semidirect
175. C2×#117×C59C22semidirect
176. C59×#399C22semidirect
177. C59×#397C22semidirect
178. C59×#396C22semidirect
180. C59×#390C22semidirect
181. C59×#390C22semidirect
182. C59×#388C22semidirect
183. C59×#387C22semidirect
184. C59×#387C22semidirect
185. C59×#386C22semidirect
186. C59×#386C22semidirect
187. C59×#386C22semidirect
188. C4×C22⋊C4×C59C22semidirect
271. C4⋊C4×D59D4semidirect
555. C4⋊C4×C59C2×D4semidirect
616. C4⋊Dic59C2×D4semidirect
627. Dic59⋊C4C2×D4semidirect
628. Dic59⋊C4C2×D4semidirect
914. #2471D59direct (N × H)
941. D59#2471direct (N × H)
955. C2×#123C2×D59semidirect
964. C2×#117C2×D59semidirect
994. #399C2×D59semidirect
1002. #397C2×D59semidirect
1010. #396C2×D59semidirect
1033. #390C2×D59semidirect
1034. #390C2×D59semidirect
1042. #388C2×D59semidirect
1057. #387C2×D59semidirect
1058. #387C2×D59semidirect
1080. #386C2×D59semidirect
1081. #386C2×D59semidirect
1082. #386C2×D59semidirect
1090. C4×C22⋊C4C2×D59semidirect
1099. C59C2×#2471semidirect
1484. C4⋊C4D4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D592
C2×#117×D592
#214282142
#214282132
#214282122
#214282112
#214282102
#214282092
#214282082
#214282072
#214282062
#214282052
#214282042
#214282032
#214282022
#214282012
#214282002
#399×D592
#397×D592
#396×D592
#392×D592
#390×D592
#388×D592
#387×D592
#386×D592
C4×C22⋊C4×D592
C59×#24712
C2×#247159