Finite Group Databasebeta

← D59×#2450 #28756435

Subgroups — D59×#2450 #28756435

Order 15104.

3374 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D59C211yesmaximal, characteristic, complemented
2C2×C4×D4×D59C211yesmaximal, characteristic
3#21427927C211yesmaximal, characteristic, complemented
4#21427926C211yesmaximal, characteristic, complemented
5#21427925C211yesmaximal, characteristic, complemented
6#21427924C211yesmaximal, characteristic, complemented
7#21427923C211yesmaximal, characteristic, complemented
8#21427922C211yesmaximal, characteristic, complemented
9#21427921C211yesmaximal, characteristic, complemented
10#21427920C211yesmaximal, characteristic, complemented
11#21427919C211yesmaximal, characteristic, complemented
12#21427918C211yesmaximal, characteristic, complemented
13#21427917C211yesmaximal, characteristic, complemented
14#21427916C211yesmaximal, characteristic, complemented
15#21427915C211yesmaximal, characteristic, complemented
16#21427914C211yesmaximal, characteristic, complemented
17#21427913C211yesmaximal, characteristic, complemented
18#400×D59C211yesmaximal, characteristic, complemented
19#398×D59C211yesmaximal, characteristic, complemented
20#396×D59C211yesmaximal, characteristic, complemented
21#393×D59C211yesmaximal, characteristic, complemented
22#391×D59C211yesmaximal, characteristic, complemented
23#387×D59C211yesmaximal, characteristic, complemented
24#386×D59C211yesmaximal, characteristic
25#386×D59C211yesmaximal, characteristic
26#385×D59C211yesmaximal, characteristic, complemented
27#385×D59C211yesmaximal, characteristic, complemented
28#385×D59C211yesmaximal, characteristic, complemented
29#380×D59C211yesmaximal, characteristic, complemented
30C2×#95×D59C211yesmaximal, characteristic, complemented
31C59×#2450C211yesmaximal, characteristic, complemented
32C22×Q8×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic
36C23×C4×D59C2211yescharacteristic
37C23×C4×D59C2211yescharacteristic
38C2×#14273707C2211yescharacteristic, complemented
39C2×#14273706C2211yescharacteristic, complemented
40C2×#14273705C2211yescharacteristic, complemented
41C2×#14273705C2211yescharacteristic, complemented
42C2×#14273704C2211yescharacteristic, complemented
43C2×#14273704C2211yescharacteristic, complemented
44C2×#14273703C2211yescharacteristic, complemented
45C22⋊Q8×D59—28no—
46C2×C4×D236C2211yescharacteristic
47C2×D4×Dic59C2211yescharacteristic
48C2×#14273689C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50C2×C4×C22⋊D59C2211yescharacteristic
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C4×D4×D59—28no—
54C2×C4⋊C4×D59C2211yescharacteristic
55C2×C4⋊C4×D59C2211yescharacteristic
56C2×C4⋊C4×D59C2211yescharacteristic
57C2×C4⋊C4×D59C2211yescharacteristic
58C2×C4⋊C4×D59C2211yescharacteristic
59C2×C4⋊C4×D59C2211yescharacteristic
60C2×C4⋊C4×D59C2211yescharacteristic
61C2×C4⋊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#16837336C2211yescharacteristic, complemented
79#16837336C2211yescharacteristic, complemented
80#16837335C2211yescharacteristic, complemented
81#16837335C2211yescharacteristic, complemented
82#16837334C2211yescharacteristic, complemented
83#16837333C2211yescharacteristic, complemented
84#16837332C2211yescharacteristic, complemented
85#16837326C2211yescharacteristic, complemented
86#16837325C2211yescharacteristic, complemented
87#16837325C2211yescharacteristic, complemented
88#16837325C2211yescharacteristic, complemented
89#16837324C2211yescharacteristic, complemented
90#16837324C2211yescharacteristic, complemented
91#16837324C2211yescharacteristic, complemented
92#16837315C2211yescharacteristic, complemented
93#16837315C2211yescharacteristic, complemented
94#16837315C2211yescharacteristic, complemented
95#16837314C2211yescharacteristic, complemented
96#16837314C2211yescharacteristic, complemented
97#16837314C2211yescharacteristic, complemented
98#16837313C2211yescharacteristic, complemented
99#16837309C2211yescharacteristic, complemented
100#16837308C2211yescharacteristic, complemented
101#16837307C2211yescharacteristic, complemented
102#16837306C2211yescharacteristic, complemented
103#16837306C2211yescharacteristic, complemented
104#16837306C2211yescharacteristic, complemented
105#16837306C2211yescharacteristic, complemented
106#16837289C2211yescharacteristic, complemented
107#16837288C2211yescharacteristic, complemented
108#16837287C2211yescharacteristic, complemented
109#16837286C2211yescharacteristic, complemented
110#16837285C2211yescharacteristic, complemented
111#16837284C2211yescharacteristic, complemented
112#16837283C2211yescharacteristic, complemented
113#16837282C2211yescharacteristic
114#16837282C2211yescharacteristic
115#16837281C2211yescharacteristic
116#16837281C2211yescharacteristic
117#16837280C2211yescharacteristic
118#16837280C2211yescharacteristic
119#16837280C2211yescharacteristic
120#16837280C2211yescharacteristic
121#16837279C2211yescharacteristic
122#16837279C2211yescharacteristic
123#16837278C2211yescharacteristic
124#16837278C2211yescharacteristic
125#16837278C2211yescharacteristic
126#16837278C2211yescharacteristic
127#16837277C2211yescharacteristic, complemented
128#16837277C2211yescharacteristic, complemented
129#16837277C2211yescharacteristic, complemented
130#16837276C2211yescharacteristic, complemented
131#16837276C2211yescharacteristic, complemented
132#16837276C2211yescharacteristic, complemented
133#16837276C2211yescharacteristic, complemented
134#16837276C2211yescharacteristic, complemented
135#16837276C2211yescharacteristic, complemented
136#16837275C2211yescharacteristic, complemented
137#16837275C2211yescharacteristic, complemented
138#16837275C2211yescharacteristic, complemented
139#16837274C2211yescharacteristic, complemented
140#16837274C2211yescharacteristic, complemented
141#16837274C2211yescharacteristic, complemented
142#16837273C2211yescharacteristic, complemented
143#16837273C2211yescharacteristic, complemented
144#16837273C2211yescharacteristic, complemented
145#16837273C2211yescharacteristic, complemented
146#16837273C2211yescharacteristic, complemented
147#16837273C2211yescharacteristic, complemented
148#16837262C2211yescharacteristic, complemented
149#16837261C2211yescharacteristic, complemented
150#16837261C2211yescharacteristic, complemented
151#16837260C2211yescharacteristic, complemented
152#16837260C2211yescharacteristic, complemented
153#16837259C2211yescharacteristic, complemented
154#16837259C2211yescharacteristic, 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×C22⋊Q8×C59C2211yescharacteristic, complemented
175C2×C4×D4×C59C2211yescharacteristic
176C59×#400C2211yescharacteristic, complemented
177C59×#398C2211yescharacteristic, complemented
178C59×#396C2211yescharacteristic, complemented
179C59×#393C2211yescharacteristic, complemented
180C59×#391C2211yescharacteristic, complemented
181C59×#387C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic
184C59×#385C2211yescharacteristic, complemented
185C59×#385C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C59×#380C2211yescharacteristic, complemented
188C2×#95×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×Dic118C2311yescharacteristic
194C2×Q8×D59—24no—
195C2×Q8×D59—24no—
196C2×Q8×D59—42no—
197C22×D236C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C2×D4×D59—24no—
201C2×D4×D59—24no—
202C2×D4×D59Q818yescomplemented
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C22×C4×D59—24no—
208C22×C4×D59—24no—
209C22×C4×D59—24no—
210C22×C4×D59—24no—
211C22×C4×D59—24no—
212C22×C4×D59—24no—
213C22×C4×D59—24no—
214C22×C4×D59—42no—
215C22×C4×D59—42no—
216C22×C4×D59—42no—
217C22×C4×D59—42no—
218C22×C4×D59—42no—
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
234C22×C4×D59C2311yescharacteristic
235C22×C4×D59C2311yescharacteristic
236C22×C4×D59C2311yescharacteristic
237C22×C4×D59C2311yescharacteristic
238C22×C4×D59C2311yescharacteristic
239C22×C4×D59C2311yescharacteristic
240#14273707—24no—
241#14273706—24no—
242#14273705—24no—
243#14273705—24no—
244#14273704—24no—
245#14273704—24no—
246#14273703—24no—
247C4×D236—24no—
248D4×Dic59—24no—
249#14273689—24no—
250C4×C22⋊D59—24no—
251C4×C22⋊D59—24no—
252(C22⋊D59)⋊C4—24no—
253(C22⋊D59)⋊C4—24no—
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C4⋊C4×D59—24no—
279C4⋊C4×D59—24no—
280C4⋊C4×D59—24no—
281C4⋊C4×D59—24no—
282C4⋊C4×D59—24no—
283C4⋊C4×D59—42no—
284C4⋊C4×D59—42no—
285C4⋊C4×D59—42no—
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
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
310C22⋊C4×D59—24no—
311C22⋊C4×D59—24no—
312C22⋊C4×D59—24no—
313C22⋊C4×D59—24no—
314C22⋊C4×D59—42no—
315C22⋊C4×D59—42no—
316C22⋊C4×D59—42no—
317C22⋊C4×D59D418yes—
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C42×D59—24no—
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
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
358C22×Q8×C59C2311yescharacteristic
359C22×D4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361C23×C4×C59C2311yescharacteristic
362C23×C4×C59C2311yescharacteristic
363C23×C4×C59C2311yescharacteristic
364C22⋊Q8×C59—24no—
365C4×D4×C59—24no—
366C2×C4⋊C4×C59C2311yescharacteristic
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×C4⋊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×C42×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391#95×C59C2311yescharacteristic
392#95×C59C2311yescharacteristic
393#95×C59C2311yescharacteristic
394#95×C59C2311yescharacteristic
395C24×C59C2411yescharacteristic
396C24×C59C2411yescharacteristic
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—22no—
400C23×D59—22no—
401C23×D59—22no—
402C23×D59—22no—
403C23×D59—22no—
404C23×D59—22no—
405C23×D59—22no—
406C23×D59—22no—
407C23×D59C2×D414yes—
408C23×D59C2×Q814yes—
409C23×D59C2×Q814yes—
410C23×D59#4114yes—
411C23×D59C2411yescharacteristic
412C23×D59C2411yescharacteristic
413C23×D59C2411yescharacteristic
414C2×Q8×C59—22no—
415C2×Q8×C59—22no—
416C2×Q8×C59—41no—
417C2×D4×C59—22no—
418C2×D4×C59—22no—
419C2×D4×C59C2×Q814yescomplemented
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—22no—
424C22×C4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—22no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59C2×Q814yescomplemented
450C2×C22⋊D59C2×Q814yescomplemented
451C22×Dic59—22no—
452C22×Dic59—22no—
453C22×Dic59—22no—
454C22×Dic59—22no—
455C22×Dic59—22no—
456C22×Dic59—22no—
457C22×Dic59—22no—
458C22×Dic59—41no—
459C22×Dic59—41no—
460C22×Dic59—41no—
461C22×Dic59—41no—
462C22×Dic59—41no—
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476Q8×D59—416no—
477D4×D59—232no—
478C2×D236—22no—
479C2×D236—22no—
480C2×D236C2×Q814yescomplemented
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
490C2×C4×D59—22no—
491C2×C4×D59—22no—
492C2×C4×D59—22no—
493C2×C4×D59—22no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—22no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
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—416no—
530C2×C4×D59—416no—
531C2×C4×D59—416no—
532C2×C4×D59—41no—
533C2×C4×D59—41no—
534C2×C4×D59—41no—
535C2×C4×D59—41no—
536C2×C4×D59—41no—
537C2×C4×D59—41no—
538C2×C4×D59—41no—
539C2×C4×D59—41no—
540C2×C4×D59—41no—
541C2×C4×D59—41no—
542C2×C4×D59—416no—
543C2×C4×D59C2×D414yes—
544C2×C4×D59C2×D414yes—
545C2×C4×D59C2×Q814yes—
546C2×C4×D59#4114yes—
547C2×C4×D59#4114yes—
548C2×Dic118—22no—
549C2×Dic118—22no—
550C2×Dic118—22no—
551C2×Dic118—22no—
552C2×Dic118—22no—
553C2×Dic118—22no—
554C2×Dic118—41no—
555C2×Dic118—41no—
556C2×Dic118—41no—
557C4⋊C4×C59—22no—
558C4⋊C4×C59—22no—
559C4⋊C4×C59—22no—
560C4⋊C4×C59—22no—
561C4⋊C4×C59—22no—
562C4⋊C4×C59—41no—
563C4⋊C4×C59—41no—
564C4⋊C4×C59—41no—
565C22⋊C4×C59—22no—
566C22⋊C4×C59—22no—
567C22⋊C4×C59—22no—
568C22⋊C4×C59—22no—
569C22⋊C4×C59—41no—
570C22⋊C4×C59—41no—
571C22⋊C4×C59—41no—
572C22⋊C4×C59C2×D414yes—
573C42×C59—22no—
574C22⋊Dic59—22no—
575C22⋊Dic59—22no—
576C22⋊Dic59—22no—
577C22⋊Dic59—22no—
578C22⋊Dic59—41no—
579C22⋊Dic59—41no—
580C22⋊Dic59—41no—
581C22⋊Dic59C2×D414yes—
582(C2×D59)⋊C4—22no—
583(C2×D59)⋊C4—22no—
584(C2×D59)⋊C4—22no—
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—41no—
591(C2×D59)⋊C4—41no—
592(C2×D59)⋊C4—41no—
593(C2×D59)⋊C4—41no—
594(C2×D59)⋊C4—41no—
595(C2×D59)⋊C4—41no—
596(C2×D59)⋊C4C2×D414yes—
597(C2×D59)⋊C4C2×D414yes—
598C4⋊Dic59—22no—
599C4⋊Dic59—22no—
600C4⋊Dic59—22no—
601C4⋊Dic59—22no—
602C4⋊Dic59—22no—
603C4⋊Dic59—41no—
604C4⋊Dic59—41no—
605C4⋊Dic59—41no—
606Dic59⋊C4—22no—
607Dic59⋊C4—22no—
608Dic59⋊C4—22no—
609Dic59⋊C4—22no—
610Dic59⋊C4—22no—
611Dic59⋊C4—22no—
612Dic59⋊C4—22no—
613Dic59⋊C4—22no—
614Dic59⋊C4—22no—
615Dic59⋊C4—22no—
616Dic59⋊C4—41no—
617Dic59⋊C4—41no—
618Dic59⋊C4—41no—
619Dic59⋊C4—41no—
620Dic59⋊C4—41no—
621Dic59⋊C4—41no—
622C4×Dic59—22no—
623C4×Dic59—22no—
624C4×Dic59—22no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59C22×D412yes—
636C23×C59C22×Q812yes—
637C23×C59C22×Q812yes—
638C23×C59C2×#4112yes—
639C23×C59C2511yescharacteristic
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—28no—
645C22×D59—28no—
646C22×D59—28no—
647C22×D59—28no—
648C22×D59—28no—
649C22×D59—28no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—28no—
657C22×D59—28no—
658C22×D59—28no—
659C22×D59—44no—
660C22×D59—44no—
661C22×D59—44no—
662C22×D59—44no—
663C22×D59C22⋊Q8116yes—
664C22×D59C22×D412yes—
665C22×D59C22×D412yes—
666C22×D59C22×Q812yes—
667C22×D59C22×Q812yes—
668C22×D59C22×Q812yes—
669C22×D59C2×#4112yes—
670C22×D59C2×#4112yes—
671C22×D59C2×#4112yes—
672C22×D59C2×#4112yes—
673C22×D59H(5,𝔽2)12yes—
674C22×D59H(5,𝔽2)12yes—
675Q8×C59—44no—
676D4×C59—28no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—44no—
712C2×C4×C59—44no—
713C2×C4×C59—44no—
714C2×C4×C59—44no—
715C2×C4×C59C22×D412yes—
716C2×C4×C59C22×D412yes—
717C2×C4×C59C22×Q812yes—
718C2×C4×C59C2×#4112yes—
719C2×C4×C59C2×#4112yes—
720C22⋊D59—28no—
721C22⋊D59—28no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—44no—
757C2×Dic59—44no—
758C2×Dic59—44no—
759C2×Dic59—44no—
760C2×Dic59C22×D412yes—
761C2×Dic59C22×D412yes—
762C2×Dic59C22×Q812yes—
763C2×Dic59C2×#4112yes—
764C2×Dic59C2×#4112yes—
765D236—28no—
766C4×D59—28no—
767C4×D59—28no—
768C4×D59—28no—
769C4×D59—28no—
770C4×D59—28no—
771C4×D59—44no—
772C4×D59—44no—
773C4×D59—44no—
774C4×D59—44no—
775C4×D59—44no—
776C4×D59—44no—
777C4×D59—44no—
778C4×D59—44no—
779C4×D59—44no—
780C4×D59—44no—
781C4×D59—44no—
782C4×D59—44no—
783C4×D59—44no—
784C4×D59—44no—
785C4×D59—44no—
786C4×D59—44no—
787Dic118—44no—
788Dic118—44no—
789Dic118—44no—
790C2×#2450—591nomaximal, Sylow
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—22no—
795C22×C59—22no—
796C22×C59—22no—
797C22×C59—22no—
798C22×C59—22no—
799C22×C59—22no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59C2×C22⋊Q814yes—
805C22×C59C23×D411yescharacteristic
806C22×C59C23×Q811yescharacteristic
807C22×C59C22×#4111yescharacteristic
808C22×C59C22×#4111yescharacteristic
809C22×C59C22×#4111yescharacteristic
810C22×C59C2×H(5,𝔽2)11yescharacteristic
811C22×C59C2×H(5,𝔽2)11yescharacteristic
812C2×D59—22no—
813C2×D59—22no—
814C2×D59—22no—
815C2×D59—22no—
816C2×D59—22no—
817C2×D59—22no—
818C2×D59—232no—
819C2×D59—22no—
820C2×D59—22no—
821C2×D59—22no—
822C2×D59—41no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—416no—
827C2×D59C2×C22⋊Q814yes—
828C2×D59C2×C22⋊Q814yes—
829C2×D59#52914yes—
830C2×D59#53814yes—
831C2×D59#54614yes—
832C2×D59#54614yes—
833C2×D59#55414yes—
834C2×D59#55414yes—
835C4×C59—22no—
836C4×C59—22no—
837C4×C59—22no—
838C4×C59—22no—
839C4×C59—22no—
840C4×C59—41no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59—41no—
847C4×C59—41no—
848Dic59—22no—
849Dic59—22no—
850Dic59—22no—
851Dic59—22no—
852Dic59—22no—
853Dic59—41no—
854Dic59—41no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59—41no—
861C22×C22⋊Q8—591no—
862C22×C4×D4—591no—
863#2450—591no—
864#2450—591no—
865#2450—591no—
866#2450—591no—
867#2450—591no—
868#2450—591no—
869#2450—591no—
870#2450—591no—
871#2450—591no—
872#2450—591no—
873#2450—591no—
874#2450—591no—
875#2450—591no—
876#2450—591no—
877#2450—591no—
878#2450D5911yescharacteristic, direct product factor
879C2×#400—591no—
880C2×#398—591no—
881C2×#396—591no—
882C2×#393—591no—
883C2×#391—591no—
884C2×#387—591no—
885C2×#386—591no—
886C2×#386—591no—
887C2×#385—591no—
888C2×#385—591no—
889C2×#385—591no—
890C2×#380—591no—
891C22×#95—591no—
892C2×C59—24no—
893C2×C59—42no—
894C2×C59C22×C22⋊Q811yescharacteristic
895C2×C59C2×#52911yescharacteristic
896C2×C59C2×#53811yescharacteristic
897C2×C59C2×#54611yescharacteristic
898C2×C59C2×#54611yescharacteristic
899C2×C59C2×#55411yescharacteristic
900C2×C59C2×#55411yescharacteristic
901D59—24no—
902D59—42no—
903D59#245018yesdirect product factor
904C23×Q8—591no—
905C23×D4—591no—
906C24×C4—591no—
907C24×C4—591no—
908C24×C4—591no—
909C24×C4—591no—
910C2×C22⋊Q8—591no—
911C2×C22⋊Q8—591no—
912C2×C22⋊Q8—591no—
913C2×C22⋊Q8—591no—
914C2×C22⋊Q8—591no—
915C2×C22⋊Q8—591no—
916C2×C22⋊Q8—591no—
917C2×C22⋊Q8—1188no—
918C2×C22⋊Q8C2×D5911yescharacteristic, complemented
919C2×C4×D4—591no—
920C2×C4×D4—591no—
921C2×C4×D4—591no—
922C2×C4×D4—591no—
923C2×C4×D4—591no—
924C2×C4×D4—591no—
925C2×C4×D4—591no—
926C2×C4×D4—1188no—
927C2×C4×D4C2×D5911yescharacteristic
928C22×C4⋊C4—591no—
929C22×C4⋊C4—591no—
930C22×C4⋊C4—591no—
931C22×C4⋊C4—591no—
932C22×C4⋊C4—591no—
933C22×C4⋊C4—591no—
934C22×C4⋊C4—591no—
935C22×C4⋊C4—591no—
936C22×C22⋊C4—591no—
937C22×C22⋊C4—591no—
938C22×C22⋊C4—591no—
939C22×C22⋊C4—591no—
940C22×C22⋊C4—591no—
941C22×C22⋊C4—591no—
942C22×C22⋊C4—591no—
943C22×C22⋊C4—591no—
944C22×C42—591no—
945#400—591no—
946#400—591no—
947#400—591no—
948#400—591no—
949#400—591no—
950#400—591no—
951#400—591no—
952#400C2×D5911yescharacteristic, complemented
953#398—591no—
954#398—591no—
955#398—591no—
956#398—591no—
957#398—591no—
958#398—591no—
959#398—591no—
960#398C2×D5911yescharacteristic, complemented
961#396—591no—
962#396—591no—
963#396—591no—
964#396—591no—
965#396—591no—
966#396—591no—
967#396—591no—
968#396C2×D5911yescharacteristic, complemented
969#393—591no—
970#393—591no—
971#393—591no—
972#393—591no—
973#393—591no—
974#393—591no—
975#393—591no—
976#393C2×D5911yescharacteristic, complemented
977#391—591no—
978#391—591no—
979#391—591no—
980#391—591no—
981#391—591no—
982#391—591no—
983#391—591no—
984#391C2×D5911yescharacteristic, complemented
985#387—591no—
986#387—591no—
987#387—591no—
988#387—591no—
989#387—591no—
990#387—591no—
991#387—591no—
992#387C2×D5911yescharacteristic, complemented
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#386—591no—
1005#386—591no—
1006#386—591no—
1007#386C2×D5911yescharacteristic
1008#386C2×D5911yescharacteristic
1009#385—591no—
1010#385—591no—
1011#385—591no—
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385—591no—
1017#385—591no—
1018#385—591no—
1019#385—591no—
1020#385—591no—
1021#385—591no—
1022#385—591no—
1023#385—591no—
1024#385—591no—
1025#385—591no—
1026#385—591no—
1027#385—591no—
1028#385—591no—
1029#385—591no—
1030#385C2×D5911yescharacteristic, complemented
1031#385C2×D5911yescharacteristic, complemented
1032#385C2×D5911yescharacteristic, complemented
1033#380—591no—
1034#380—591no—
1035#380—591no—
1036#380—591no—
1037#380—591no—
1038#380—591no—
1039#380—591no—
1040#380C2×D5911yescharacteristic, complemented
1041C2×#95—591no—
1042C2×#95—591no—
1043C2×#95—591no—
1044C2×#95—591no—
1045C2×#95—591no—
1046C2×#95—591no—
1047C2×#95—591no—
1048C2×#95—591no—
1049C2×#95—591no—
1050C2×#95—591no—
1051C2×#95—591no—
1052C2×#95—591no—
1053C2×#95—591no—
1054C2×#95—591no—
1055C2×#95—591no—
1056C2×#95—591no—
1057C2×#95—591no—
1058C2×#95—591no—
1059C2×#95—591no—
1060C2×#95C2×D5911yescharacteristic, complemented
1061C59C2×#245011yescharacteristic, complemented, Sylow
1062C25—591no—
1063C25—591no—
1064C22×Q8—591no—
1065C22×Q8—591no—
1066C22×Q8—591no—
1067C22×Q8—1184no—
1068C22×Q8—1184no—
1069C22×Q8—2362no—
1070C22×Q8C22×D5911yescharacteristic
1071C22×D4—591no—
1072C22×D4—591no—
1073C22×D4—598no—
1074C22×D4—591no—
1075C22×D4—1184no—
1076C22×D4—1184no—
1077C22×D4C22×D5911yescharacteristic
1078C23×C4—591no—
1079C23×C4—591no—
1080C23×C4—591no—
1081C23×C4—591no—
1082C23×C4—591no—
1083C23×C4—591no—
1084C23×C4—591no—
1085C23×C4—591no—
1086C23×C4—591no—
1087C23×C4—591no—
1088C23×C4—591no—
1089C23×C4—591no—
1090C23×C4—591no—
1091C23×C4—591no—
1092C23×C4—591no—
1093C23×C4—591no—
1094C23×C4—591no—
1095C23×C4—591no—
1096C23×C4—591no—
1097C23×C4—591no—
1098C23×C4—591no—
1099C23×C4—591no—
1100C23×C4—591no—
1101C23×C4—591no—
1102C23×C4—591no—
1103C23×C4—1184no—
1104C23×C4—1184no—
1105C23×C4—1184no—
1106C23×C4—1184no—
1107C23×C4—1184no—
1108C23×C4—1184no—
1109C23×C4—1184no—
1110C23×C4—2362no—
1111C23×C4—2362no—
1112C23×C4—2362no—
1113C23×C4—2362no—
1114C23×C4—2362no—
1115C23×C4C22×D5911yescharacteristic
1116C23×C4C22×D5911yescharacteristic
1117C23×C4C22×D5911yescharacteristic
1118C23×C4C22×D5911yescharacteristic
1119C22⋊Q8—24no—
1120C22⋊Q8—1184no—
1121C22⋊Q8—1184no—
1122C22⋊Q8—1184no—
1123C22⋊Q8—1184no—
1124C22⋊Q8—1184no—
1125C22⋊Q8—1184no—
1126C22⋊Q8—1184no—
1127C4×D4—24no—
1128C4×D4—1184no—
1129C4×D4—1184no—
1130C4×D4—1184no—
1131C4×D4—1184no—
1132C4×D4—1184no—
1133C4×D4—1184no—
1134C4×D4—1184no—
1135C2×C4⋊C4—591no—
1136C2×C4⋊C4—591no—
1137C2×C4⋊C4—591no—
1138C2×C4⋊C4—591no—
1139C2×C4⋊C4—591no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—591no—
1142C2×C4⋊C4—591no—
1143C2×C4⋊C4—591no—
1144C2×C4⋊C4—591no—
1145C2×C4⋊C4—591no—
1146C2×C4⋊C4—591no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
1151C2×C4⋊C4—591no—
1152C2×C4⋊C4—591no—
1153C2×C4⋊C4—591no—
1154C2×C4⋊C4—591no—
1155C2×C4⋊C4—591no—
1156C2×C4⋊C4—591no—
1157C2×C4⋊C4—591no—
1158C2×C4⋊C4—591no—
1159C2×C4⋊C4—1184no—
1160C2×C4⋊C4—1184no—
1161C2×C4⋊C4—1184no—
1162C2×C4⋊C4—1184no—
1163C2×C4⋊C4—1184no—
1164C2×C4⋊C4—2362no—
1165C2×C4⋊C4—2362no—
1166C2×C4⋊C4—2362no—
1167C2×C4⋊C4C22×D5911yescharacteristic
1168C2×C4⋊C4C22×D5911yescharacteristic
1169C2×C4⋊C4C22×D5911yescharacteristic
1170C2×C4⋊C4C22×D5911yescharacteristic
1171C2×C4⋊C4C22×D5911yescharacteristic
1172C2×C4⋊C4C22×D5911yescharacteristic
1173C2×C4⋊C4C22×D5911yescharacteristic
1174C2×C4⋊C4C22×D5911yescharacteristic
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—598no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—1184no—
1201C2×C22⋊C4—1184no—
1202C2×C22⋊C4—1184no—
1203C2×C22⋊C4—1184no—
1204C2×C22⋊C4—2362no—
1205C2×C22⋊C4—2362no—
1206C2×C22⋊C4—2362no—
1207C2×C22⋊C4C22×D5911yescharacteristic
1208C2×C22⋊C4C22×D5911yescharacteristic
1209C2×C22⋊C4C22×D5911yescharacteristic
1210C2×C22⋊C4C22×D5911yescharacteristic
1211C2×C22⋊C4C22×D5911yescharacteristic
1212C2×C22⋊C4C22×D5911yescharacteristic
1213C2×C22⋊C4C22×D5911yescharacteristic
1214C2×C22⋊C4C22×D5911yescharacteristic
1215C2×C42—591no—
1216C2×C42—591no—
1217C2×C42—591no—
1218C2×C42—1184no—
1219C2×C42C22×D5911yescharacteristic
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253#95—591no—
1254#95—591no—
1255#95—591no—
1256#95C22×D5911yescharacteristic
1257#95C22×D5911yescharacteristic
1258#95C22×D5911yescharacteristic
1259#95C22×D5911yescharacteristic
1260#95C22×D5911yescharacteristic
1261#95C22×D5911yescharacteristic
1262#95C22×D5911yescharacteristic
1263#95C22×D5911yescharacteristic
1264#95C22×D5911yescharacteristic
1265#95C22×D5911yescharacteristic
1266#95C22×D5911yescharacteristic
1267#95C22×D5911yescharacteristic
1268C24—591no—
1269C24—594no—
1270C24—594no—
1271C24—594no—
1272C24—591no—
1273C24—594no—
1274C24—591no—
1275C24—1182no—
1276C24—1182no—
1277C24—1182no—
1278C24—1182no—
1279C24—1182no—
1280C24—1182no—
1281C24—1182no—
1282C24—1182no—
1283C24—1182no—
1284C24—1182no—
1285C24C23×D5911yescharacteristic
1286C24C23×D5911yescharacteristic
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—41no—
1290C2×Q8—1182no—
1291C2×Q8—1182no—
1292C2×Q8—1182no—
1293C2×Q8—1182no—
1294C2×Q8—1182no—
1295C2×Q8—1182no—
1296C2×Q8—2361no—
1297C2×Q8—2361no—
1298C2×Q8—2361no—
1299C2×Q8—23616no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—594no—
1303C2×D4—594no—
1304C2×D4—594no—
1305C2×D4—1182no—
1306C2×D4—1182no—
1307C2×D4—11832no—
1308C2×D4—1182no—
1309C2×D4—1182no—
1310C2×D4—1182no—
1311C2×D4—1182no—
1312C2×D4Q8×D5914yescomplemented
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—591no—
1326C22×C4—591no—
1327C22×C4—591no—
1328C22×C4—591no—
1329C22×C4—591no—
1330C22×C4—594no—
1331C22×C4—594no—
1332C22×C4—594no—
1333C22×C4—594no—
1334C22×C4—594no—
1335C22×C4—591no—
1336C22×C4—591no—
1337C22×C4—591no—
1338C22×C4—591no—
1339C22×C4—591no—
1340C22×C4—591no—
1341C22×C4—591no—
1342C22×C4—591no—
1343C22×C4—1182no—
1344C22×C4—1182no—
1345C22×C4—1182no—
1346C22×C4—1182no—
1347C22×C4—1182no—
1348C22×C4—1182no—
1349C22×C4—1182no—
1350C22×C4—1182no—
1351C22×C4—1182no—
1352C22×C4—1182no—
1353C22×C4—1182no—
1354C22×C4—1182no—
1355C22×C4—1182no—
1356C22×C4—1182no—
1357C22×C4—1182no—
1358C22×C4—1182no—
1359C22×C4—1182no—
1360C22×C4—1182no—
1361C22×C4—1182no—
1362C22×C4—1182no—
1363C22×C4—1182no—
1364C22×C4—1182no—
1365C22×C4—1182no—
1366C22×C4—1182no—
1367C22×C4—1182no—
1368C22×C4—1182no—
1369C22×C4—1182no—
1370C22×C4—1182no—
1371C22×C4—1182no—
1372C22×C4—1182no—
1373C22×C4—1182no—
1374C22×C4—1182no—
1375C22×C4—1182no—
1376C22×C4—1182no—
1377C22×C4—1182no—
1378C22×C4—1182no—
1379C22×C4—1182no—
1380C22×C4—1182no—
1381C22×C4—1182no—
1382C22×C4—1182no—
1383C22×C4—1182no—
1384C22×C4—1182no—
1385C22×C4—1182no—
1386C22×C4—1182no—
1387C22×C4—1182no—
1388C22×C4—1182no—
1389C22×C4—1182no—
1390C22×C4—1182no—
1391C22×C4—1182no—
1392C22×C4—1182no—
1393C22×C4—1182no—
1394C22×C4—1182no—
1395C22×C4—1182no—
1396C22×C4—1182no—
1397C22×C4—1182no—
1398C22×C4—2361no—
1399C22×C4—2361no—
1400C22×C4—2361no—
1401C22×C4—2361no—
1402C22×C4—2361no—
1403C22×C4—2361no—
1404C22×C4—2361no—
1405C22×C4—2361no—
1406C22×C4—2361no—
1407C22×C4—2361no—
1408C22×C4—23616no—
1409C22×C4—23616no—
1410C22×C4—23616no—
1411C22×C4—23616no—
1412C22×C4—2361no—
1413C22×C4—2361no—
1414C22×C4—2361no—
1415C22×C4—2361no—
1416C22×C4—2361no—
1417C22×C4C23×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419C22×C4C23×D5911yescharacteristic
1420C22×C4C23×D5911yescharacteristic
1421C22×C4C23×D5911yescharacteristic
1422C22×C4C23×D5911yescharacteristic
1423C22×C4C23×D5911yescharacteristic
1424C22×C4C23×D5911yescharacteristic
1425C22×C4C23×D5911yescharacteristic
1426C22×C4C23×D5911yescharacteristic
1427C22×C4C23×D5911yescharacteristic
1428C22×C4C23×D5911yescharacteristic
1429C22×C4C23×D5911yescharacteristic
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—1182no—
1439C4⋊C4—1182no—
1440C4⋊C4—1182no—
1441C4⋊C4—1182no—
1442C4⋊C4—1182no—
1443C4⋊C4—1182no—
1444C4⋊C4—1182no—
1445C4⋊C4—1182no—
1446C4⋊C4—1182no—
1447C4⋊C4—1182no—
1448C4⋊C4—1182no—
1449C4⋊C4—1182no—
1450C4⋊C4—1182no—
1451C4⋊C4—1182no—
1452C4⋊C4—1182no—
1453C4⋊C4—2361no—
1454C4⋊C4—2361no—
1455C4⋊C4—2361no—
1456C4⋊C4—2361no—
1457C4⋊C4—2361no—
1458C4⋊C4—2361no—
1459C4⋊C4—2361no—
1460C4⋊C4—2361no—
1461C4⋊C4—2361no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—594no—
1470C22⋊C4—594no—
1471C22⋊C4—594no—
1472C22⋊C4—1182no—
1473C22⋊C4—1182no—
1474C22⋊C4—1182no—
1475C22⋊C4—1182no—
1476C22⋊C4—1182no—
1477C22⋊C4—1182no—
1478C22⋊C4—1182no—
1479C22⋊C4—1182no—
1480C22⋊C4—1182no—
1481C22⋊C4—1182no—
1482C22⋊C4—1182no—
1483C22⋊C4—1182no—
1484C22⋊C4—2361no—
1485C22⋊C4—2361no—
1486C22⋊C4—2361no—
1487C22⋊C4—2361no—
1488C22⋊C4—2361no—
1489C22⋊C4—2361no—
1490C22⋊C4—2361no—
1491C22⋊C4—2361no—
1492C22⋊C4—2361no—
1493C22⋊C4D4×D5914yes—
1494C42—22no—
1495C42—1182no—
1496C42—1182no—
1497C42—1182no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—592no—
1509C23—592no—
1510C23—592no—
1511C23—592no—
1512C23—592no—
1513C23—592no—
1514C23—592no—
1515C23—5916no—
1516C23—592no—
1517C23—592no—
1518C23—592no—
1519C23—592no—
1520C23—1188no—
1521C23—1188no—
1522C23—1188no—
1523C23—1188no—
1524C23—1188no—
1525C23—1188no—
1526C23—1188no—
1527C23—1188no—
1528C23—1188no—
1529C23—1181no—
1530C23—1181no—
1531C23—1181no—
1532C23—1181no—
1533C23—1181no—
1534C23—1181no—
1535C23—1181no—
1536C23—1181no—
1537C23—1181no—
1538C23—1181no—
1539C23—2364no—
1540C23—2364no—
1541C23—2364no—
1542C23—2364no—
1543C23C2×D4×D5912yes—
1544C23C2×Q8×D5912yes—
1545C23C2×Q8×D5912yes—
1546C23#41×D5912yes—
1547C23C24×D5911yescharacteristic
1548Q8—44no—
1549Q8—2364no—
1550Q8—2364no—
1551Q8—2364no—
1552D4—28no—
1553D4—1188no—
1554D4—1188no—
1555D4—1188no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—592no—
1595C2×C4—592no—
1596C2×C4—592no—
1597C2×C4—592no—
1598C2×C4—592no—
1599C2×C4—1188no—
1600C2×C4—1188no—
1601C2×C4—1188no—
1602C2×C4—1188no—
1603C2×C4—1188no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—1181no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—2364no—
1639C2×C4—2364no—
1640C2×C4—2364no—
1641C2×C4—2364no—
1642C2×C4—2364no—
1643C2×C4—2364no—
1644C2×C4—2364no—
1645C2×C4—2364no—
1646C2×C4—2364no—
1647C2×C4—2364no—
1648C2×C4—2364no—
1649C2×C4—2364no—
1650C2×C4—2364no—
1651C2×C4—2364no—
1652C2×C4—2364no—
1653C2×C4—2364no—
1654C2×C4—2364no—
1655C2×C4—2364no—
1656C2×C4—2364no—
1657C2×C4—2364no—
1658C2×C4C2×D4×D5912yes—
1659C2×C4C2×D4×D5912yes—
1660C2×C4C2×Q8×D5912yes—
1661C2×C4#41×D5912yes—
1662C2×C4#41×D5912yes—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—594no—
1677C22—594no—
1678C22—594no—
1679C22—594no—
1680C22—594no—
1681C22—594no—
1682C22—594no—
1683C22—594no—
1684C22—11832no—
1685C22—1182no—
1686C22—1182no—
1687C22—1182no—
1688C22—1182no—
1689C22—1182no—
1690C22—1182no—
1691C22—1182no—
1692C22—1182no—
1693C22—1182no—
1694C22—23616no—
1695C22—2361no—
1696C22—2361no—
1697C22—2361no—
1698C22—2361no—
1699C22C22⋊Q8×D5914yes—
1700C22C22×D4×D5911yescharacteristic
1701C22C22×Q8×D5911yescharacteristic
1702C22C2×#41×D5911yescharacteristic
1703C22C2×#41×D5911yescharacteristic
1704C22C2×#41×D5911yescharacteristic
1705C22H(5,𝔽2)×D5911yescharacteristic
1706C22H(5,𝔽2)×D5911yescharacteristic
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—22no—
1711C4—22no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—1182no—
1721C4—1182no—
1722C4—1182no—
1723C4—1182no—
1724C4—1182no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4—2361no—
1731C4—2361no—
1732C4—2361no—
1733C2—24no—
1734C2—42no—
1735C2—598no—
1736C2—1184no—
1737C2—2362no—
1738C2C2×C22⋊Q8×D5911yescharacteristic
1739C2#529×D5911yescharacteristic
1740C2#538×D5911yescharacteristic
1741C2#546×D5911yescharacteristic
1742C2#546×D5911yescharacteristic
1743C2#554×D5911yescharacteristic
1744C2#554×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2450C2
prime radicalC22×D4×D59C22
hypercenter#2450D59
hypocenterC59C2×#2450
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. C2×C22⋊Q8×D59C2semidirect
3. #21427927C2semidirect
4. #21427926C2semidirect
5. #21427925C2semidirect
6. #21427924C2semidirect
7. #21427923C2semidirect
8. #21427922C2semidirect
9. #21427921C2semidirect
10. #21427920C2semidirect
11. #21427919C2semidirect
12. #21427918C2semidirect
13. #21427917C2semidirect
14. #21427916C2semidirect
15. #21427915C2semidirect
16. #21427914C2semidirect
17. #21427913C2semidirect
18. #400×D59C2semidirect
19. #398×D59C2semidirect
20. #396×D59C2semidirect
21. #393×D59C2semidirect
22. #391×D59C2semidirect
23. #387×D59C2semidirect
26. #385×D59C2semidirect
27. #385×D59C2semidirect
28. #385×D59C2semidirect
29. #380×D59C2semidirect
30. C2×#95×D59C2semidirect
31. C59×#2450C2semidirect
38. C2×#14273707C22semidirect
39. C2×#14273706C22semidirect
40. C2×#14273705C22semidirect
41. C2×#14273705C22semidirect
42. C2×#14273704C22semidirect
43. C2×#14273704C22semidirect
44. C2×#14273703C22semidirect
71. #16837344C22semidirect
72. #16837344C22semidirect
73. #16837343C22semidirect
74. #16837343C22semidirect
75. #16837342C22semidirect
76. #16837341C22semidirect
77. #16837340C22semidirect
78. #16837336C22semidirect
79. #16837336C22semidirect
80. #16837335C22semidirect
81. #16837335C22semidirect
82. #16837334C22semidirect
83. #16837333C22semidirect
84. #16837332C22semidirect
85. #16837326C22semidirect
86. #16837325C22semidirect
87. #16837325C22semidirect
88. #16837325C22semidirect
89. #16837324C22semidirect
90. #16837324C22semidirect
91. #16837324C22semidirect
92. #16837315C22semidirect
93. #16837315C22semidirect
94. #16837315C22semidirect
95. #16837314C22semidirect
96. #16837314C22semidirect
97. #16837314C22semidirect
98. #16837313C22semidirect
99. #16837309C22semidirect
100. #16837308C22semidirect
101. #16837307C22semidirect
102. #16837306C22semidirect
103. #16837306C22semidirect
104. #16837306C22semidirect
105. #16837306C22semidirect
106. #16837289C22semidirect
107. #16837288C22semidirect
108. #16837287C22semidirect
109. #16837286C22semidirect
110. #16837285C22semidirect
111. #16837284C22semidirect
112. #16837283C22semidirect
127. #16837277C22semidirect
128. #16837277C22semidirect
129. #16837277C22semidirect
130. #16837276C22semidirect
131. #16837276C22semidirect
132. #16837276C22semidirect
133. #16837276C22semidirect
134. #16837276C22semidirect
135. #16837276C22semidirect
136. #16837275C22semidirect
137. #16837275C22semidirect
138. #16837275C22semidirect
139. #16837274C22semidirect
140. #16837274C22semidirect
141. #16837274C22semidirect
142. #16837273C22semidirect
143. #16837273C22semidirect
144. #16837273C22semidirect
145. #16837273C22semidirect
146. #16837273C22semidirect
147. #16837273C22semidirect
148. #16837262C22semidirect
149. #16837261C22semidirect
150. #16837261C22semidirect
151. #16837260C22semidirect
152. #16837260C22semidirect
153. #16837259C22semidirect
154. #16837259C22semidirect
155. C2×C59⋊#95C22semidirect
156. C2×C59⋊#95C22semidirect
157. C2×C59⋊#95C22semidirect
170. #95×D59C22semidirect
171. #95×D59C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
174. C2×C22⋊Q8×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#398C22semidirect
178. C59×#396C22semidirect
179. C59×#393C22semidirect
180. C59×#391C22semidirect
181. C59×#387C22semidirect
184. C59×#385C22semidirect
185. C59×#385C22semidirect
186. C59×#385C22semidirect
187. C59×#380C22semidirect
188. C2×#95×C59C22semidirect
202. C2×D4×D59Q8semidirect
419. C2×D4×C59C2×Q8semidirect
449. C2×C22⋊D59C2×Q8semidirect
450. C2×C22⋊D59C2×Q8semidirect
480. C2×D236C2×Q8semidirect
878. #2450D59direct (N × H)
903. D59#2450direct (N × H)
918. C2×C22⋊Q8C2×D59semidirect
952. #400C2×D59semidirect
960. #398C2×D59semidirect
968. #396C2×D59semidirect
976. #393C2×D59semidirect
984. #391C2×D59semidirect
992. #387C2×D59semidirect
1030. #385C2×D59semidirect
1031. #385C2×D59semidirect
1032. #385C2×D59semidirect
1040. #380C2×D59semidirect
1060. C2×#95C2×D59semidirect
1061. C59C2×#2450semidirect
1312. C2×D4Q8×D59semidirect

Maximal subgroups

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

subgroupindex
C2×C22⋊Q8×D592
C2×C4×D4×D592
#214279272
#214279262
#214279252
#214279242
#214279232
#214279222
#214279212
#214279202
#214279192
#214279182
#214279172
#214279162
#214279152
#214279142
#214279132
#400×D592
#398×D592
#396×D592
#393×D592
#391×D592
#387×D592
#386×D592
#385×D592
#380×D592
C2×#95×D592
C59×#24502
C2×#245059