Finite Group Databasebeta

← #28756465

Subgroups — #28756465

Order 15104.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837933C211yesmaximal, characteristic, complemented
2C2×C4×D4×D59C211yesmaximal, characteristic, complemented
3#21428352C211yesmaximal, characteristic, complemented
4#21428337C211yesmaximal, characteristic, complemented
5#21428232C211yesmaximal, characteristic, complemented
6#21428217C211yesmaximal, characteristic, complemented
7#21428146C211yesmaximal, characteristic, complemented
8#21428131C211yesmaximal, characteristic, complemented
9#21428047C211yesmaximal, characteristic, complemented
10#21428032C211yesmaximal, characteristic, complemented
11#21427920C211yesmaximal, characteristic, complemented
12#21427761C211yesmaximal, characteristic, complemented
13#21427649C211yesmaximal, characteristic, complemented
14#21427567C211yesmaximal, characteristic, complemented
15#21427495C211yesmaximal, characteristic, complemented
16#21427467C211yesmaximal, characteristic
17#21427422C211yesmaximal, characteristic, complemented
18#21427385C211yesmaximal, characteristic, complemented
19#21427354C211yesmaximal, characteristic, complemented
20#21427339C211yesmaximal, characteristic, complemented
21#21427333C211yesmaximal, characteristic, complemented
22#21426630C211yesmaximal, characteristic, complemented
23#21426615C211yesmaximal, characteristic, complemented
24#21426606C211yesmaximal, characteristic, complemented
25#21426601C211yesmaximal, characteristic, complemented
26#21426601C211yesmaximal, characteristic, complemented
27#21426538C211yesmaximal, characteristic, complemented
28#21426536C211yesmaximal, characteristic, complemented
29#21426476C211yesmaximal, characteristic, complemented
30C2×#16837249C211yesmaximal, characteristic, complemented
31C59×#2444C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837933—28no—
36C2×#14273720C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273718C2211yescharacteristic, complemented
39C2×#14273714C2211yescharacteristic, complemented
40C2×#14273711C2211yescharacteristic
41C2×#14273708C2211yescharacteristic
42C2×#14273708C2211yescharacteristic, complemented
43C2×#14273706C2211yescharacteristic, complemented
44C2×#14273705C2211yescharacteristic
45C2×#14273699C2211yescharacteristic
46C2×#14273695C2211yescharacteristic
47C2×#14273695C2211yescharacteristic
48C2×#14273692C2211yescharacteristic, complemented
49C2×C4×D236C2211yescharacteristic
50C2×D4×Dic59C2211yescharacteristic
51C2×D4×Dic59C2211yescharacteristic, complemented
52C2×D4×Dic59C2211yescharacteristic, complemented
53C2×#14273689C2211yescharacteristic
54C2×C4×C22⋊D59C2211yescharacteristic
55C2×C4×C22⋊D59C2211yescharacteristic
56C2×(C22⋊D59)⋊C4C2211yescharacteristic
57C2×(C22⋊D59)⋊C4C2211yescharacteristic
58C2×(C22⋊D59)⋊C4C2211yescharacteristic
59C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
60C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
61C4×D4×D59—28no—
62C2×#14273683C2211yescharacteristic, complemented
63C2×#14273683C2211yescharacteristic, complemented
64C2×#14273683C2211yescharacteristic, complemented
65C2×C4⋊C4×D59C2211yescharacteristic
66C22×(C2×D59)⋊C4C2211yescharacteristic
67C22×(C2×D59)⋊C4C2211yescharacteristic
68C2×C22⋊C4×D59C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic
70C22×C4×Dic59C2211yescharacteristic, complemented
71C22×C4×Dic59C2211yescharacteristic, complemented
72C2×C42×D59C2211yescharacteristic
73#16837343C2211yescharacteristic, complemented
74#16837340C2211yescharacteristic, complemented
75#16837337C2211yescharacteristic, complemented
76#16837336C2211yescharacteristic, complemented
77#16837336C2211yescharacteristic, complemented
78#16837333C2211yescharacteristic, complemented
79#16837331C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837330C2211yescharacteristic, complemented
83#16837330C2211yescharacteristic, complemented
84#16837326C2211yescharacteristic, complemented
85#16837326C2211yescharacteristic, complemented
86#16837325C2211yescharacteristic, complemented
87#16837324C2211yescharacteristic, complemented
88#16837320C2211yescharacteristic
89#16837320C2211yescharacteristic
90#16837319C2211yescharacteristic
91#16837318C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837317C2211yescharacteristic
94#16837317C2211yescharacteristic, complemented
95#16837317C2211yescharacteristic, complemented
96#16837317C2211yescharacteristic, complemented
97#16837315C2211yescharacteristic, complemented
98#16837315C2211yescharacteristic, complemented
99#16837311C2211yescharacteristic
100#16837310C2211yescharacteristic
101#16837306C2211yescharacteristic, complemented
102#16837302C2211yescharacteristic, complemented
103#16837299C2211yescharacteristic, complemented
104#16837299C2211yescharacteristic, complemented
105#16837296C2211yescharacteristic, complemented
106#16837295C2211yescharacteristic, complemented
107#16837294C2211yescharacteristic, complemented
108#16837292C2211yescharacteristic, complemented
109#16837292C2211yescharacteristic, complemented
110#16837290C2211yescharacteristic, complemented
111#16837290C2211yescharacteristic, complemented
112#16837287C2211yescharacteristic, complemented
113#16837286C2211yescharacteristic, complemented
114#16837286C2211yescharacteristic, complemented
115#16837285C2211yescharacteristic, complemented
116#16837285C2211yescharacteristic, complemented
117#16837285C2211yescharacteristic, complemented
118#16837284C2211yescharacteristic, complemented
119#16837282C2211yescharacteristic
120#16837281C2211yescharacteristic
121#16837281C2211yescharacteristic
122#16837278C2211yescharacteristic
123#16837278C2211yescharacteristic
124#16837278C2211yescharacteristic
125#16837278C2211yescharacteristic
126#16837278C2211yescharacteristic, complemented
127#16837278C2211yescharacteristic, complemented
128#16837276C2211yescharacteristic
129#16837276C2211yescharacteristic
130#16837276C2211yescharacteristic
131#16837276C2211yescharacteristic
132#16837276C2211yescharacteristic, complemented
133#16837276C2211yescharacteristic, complemented
134#16837275C2211yescharacteristic, complemented
135#16837275C2211yescharacteristic, complemented
136#16837275C2211yescharacteristic, complemented
137#16837274C2211yescharacteristic, complemented
138#16837273C2211yescharacteristic
139#16837273C2211yescharacteristic
140#16837265C2211yescharacteristic, complemented
141#16837263C2211yescharacteristic, complemented
142#16837261C2211yescharacteristic
143#16837261C2211yescharacteristic
144#16837261C2211yescharacteristic
145#16837261C2211yescharacteristic, complemented
146#16837261C2211yescharacteristic, complemented
147#16837260C2211yescharacteristic, complemented
148#16837257C2211yescharacteristic
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151#16837257C2211yescharacteristic
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4⋊C4×Dic59C2211yescharacteristic, complemented
154#16837253C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic, complemented
159#16837249C2211yescharacteristic
160#16837249C2211yescharacteristic
161#16837249C2211yescharacteristic
162#16837249C2211yescharacteristic
163#16837249C2211yescharacteristic
164#16837249C2211yescharacteristic, complemented
165#16837249C2211yescharacteristic, complemented
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#16837247C2211yescharacteristic, complemented
173C2×C59⋊#95C2211yescharacteristic, complemented
174C2×#121×C59C2211yescharacteristic
175C2×C4×D4×C59C2211yescharacteristic
176C59×#400C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic, complemented
178C59×#397C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#387C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C59×#381C2211yescharacteristic, complemented
188C2×#95×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C2×D4×D59—24no—
199C2×D4×D59—24no—
200C2×D4×D59—24no—
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C22×C4×D59—24no—
207C22×C4×D59—24no—
208C22×C4×D59—24no—
209C22×C4×D59—24no—
210C22×C4×D59—42no—
211C22×C4×D59—42no—
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221#14273720—24no—
222#14273720—24no—
223#14273718—24no—
224#14273714—24no—
225#14273711—24no—
226#14273708—24no—
227#14273708—24no—
228#14273706—24no—
229#14273705—24no—
230#14273699—24no—
231#14273695—24no—
232#14273695—24no—
233#14273692—24no—
234C4×D236—24no—
235D4×Dic59—24no—
236D4×Dic59—24no—
237D4×Dic59D418yescomplemented
238#14273689—24no—
239C4×C22⋊D59—24no—
240C4×C22⋊D59—24no—
241(C22⋊D59)⋊C4—24no—
242(C22⋊D59)⋊C4—24no—
243(C22⋊D59)⋊C4—24no—
244(C22⋊D59)⋊C4—42no—
245(C22⋊D59)⋊C4—42no—
246#14273683—24no—
247#14273683—24no—
248#14273683—42no—
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
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C4⋊C4×D59—24no—
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×(C2×D59)⋊C4—24no—
285C2×(C2×D59)⋊C4—24no—
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C22⋊C4×D59—24no—
312C22⋊C4×D59—24no—
313C2×C4×Dic59—24no—
314C2×C4×Dic59—42no—
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C2×C4×Dic59C2311yescharacteristic
328C2×C4×Dic59C2311yescharacteristic
329C42×D59—24no—
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
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359C23×C4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361#121×C59—24no—
362C4×D4×C59—24no—
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C42×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—22no—
400C23×D59—22no—
401C23×D59—22no—
402C23×D59—22no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59—41no—
407C23×D59#4114yes—
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C2×D4×C59—22no—
418C2×D4×C59—41no—
419C2×D4×C59C2×D414yes—
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
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59#4114yes—
459C22×Dic59—22no—
460C22×Dic59—22no—
461C22×Dic59—22no—
462C22×Dic59—22no—
463C22×Dic59—22no—
464C22×Dic59—22no—
465C22×Dic59—22no—
466C22×Dic59—22no—
467C22×Dic59—22no—
468C22×Dic59—22no—
469C22×Dic59—22no—
470C22×Dic59—22no—
471C22×Dic59—41no—
472C22×Dic59C2×D414yes—
473C22×Dic59C2×D414yes—
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487D4×D59—232no—
488C2×D236—22no—
489C2×D236—22no—
490C2×D236—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—416no—
513C2×C4×D59—416no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59#4114yes—
520C2×Dic118—22no—
521C2×Dic118—22no—
522C2×Dic118—41no—
523C4⋊C4×C59—22no—
524C4⋊C4×C59—22no—
525C4⋊C4×C59—22no—
526C4⋊C4×C59—41no—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—41no—
534C22⋊C4×C59—41no—
535C22⋊C4×C59—41no—
536C22⋊C4×C59—41no—
537C22⋊C4×C59—41no—
538C42×C59—22no—
539C22⋊Dic59—22no—
540C22⋊Dic59—22no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—22no—
546C22⋊Dic59—22no—
547C22⋊Dic59—22no—
548C22⋊Dic59—41no—
549C22⋊Dic59C2×D414yes—
550C22⋊Dic59C2×D414yes—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—22no—
559(C2×D59)⋊C4—22no—
560(C2×D59)⋊C4—22no—
561(C2×D59)⋊C4—22no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—22no—
568(C2×D59)⋊C4—22no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4—41no—
574(C2×D59)⋊C4—41no—
575(C2×D59)⋊C4#4114yes—
576C4⋊Dic59—22no—
577C4⋊Dic59—22no—
578C4⋊Dic59—22no—
579C4⋊Dic59—22no—
580C4⋊Dic59C2×D414yes—
581Dic59⋊C4—22no—
582Dic59⋊C4—22no—
583Dic59⋊C4—22no—
584Dic59⋊C4—22no—
585Dic59⋊C4—22no—
586Dic59⋊C4—22no—
587Dic59⋊C4—22no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593Dic59⋊C4—41no—
594Dic59⋊C4—41no—
595Dic59⋊C4—41no—
596Dic59⋊C4—41no—
597Dic59⋊C4—41no—
598C4×Dic59—22no—
599C4×Dic59—22no—
600C4×Dic59—22no—
601C4×Dic59—22no—
602C4×Dic59—22no—
603C4×Dic59—22no—
604C4×Dic59—22no—
605C4×Dic59—22no—
606C4×Dic59—22no—
607C4×Dic59—22no—
608C4×Dic59—22no—
609C4×Dic59—41no—
610C4×Dic59—41no—
611C4×Dic59C2×D414yes—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59C22×D412yes—
630C23×C59C22×D412yes—
631C23×C59C2×#4112yes—
632C23×C59C2×#4112yes—
633C23×C59C2511yescharacteristic
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—28no—
639C22×D59—28no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—28no—
653C22×D59—44no—
654C22×D59—44no—
655C22×D59—44no—
656C22×D59—44no—
657C22×D59—44no—
658C22×D59—44no—
659C22×D59—44no—
660C22×D59—44no—
661C22×D59—44no—
662C22×D59—44no—
663C22×D59—44no—
664C22×D59C2×#4112yes—
665C22×D59C2×#4112yes—
666C22×D59C2×#4112yes—
667C22×D59C2×#4112yes—
668C22×D59C2×#4112yes—
669D4×C59—28no—
670D4×C59—44no—
671D4×C59—44no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
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—44no—
706C2×C4×C59—44no—
707C2×C4×C59—44no—
708C2×C4×C59—44no—
709C2×C4×C59C22×D412yes—
710C2×C4×C59C2×#4112yes—
711C2×C4×C59C2×#4112yes—
712C22⋊D59—28no—
713C22⋊D59—28no—
714C22⋊D59—44no—
715C22⋊D59—44no—
716C22⋊D59—44no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—28no—
728C2×Dic59—28no—
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—44no—
751C2×Dic59—44no—
752C2×Dic59—44no—
753C2×Dic59C22×D412yes—
754C2×Dic59C22×D412yes—
755C2×Dic59C22×D412yes—
756C2×Dic59C22×D412yes—
757C2×Dic59C2×#4112yes—
758C2×Dic59C2×#4112yes—
759C2×Dic59C2×#4112yes—
760C2×Dic59H(5,𝔽2)12yes—
761D236—28no—
762C4×D59—28no—
763C4×D59—28no—
764C4×D59—44no—
765C4×D59—44no—
766C4×D59—44no—
767C4×D59—44no—
768C4×D59—44no—
769C4×D59—44no—
770C4×D59—44no—
771Dic118—44no—
772#34670—591nomaximal, Sylow
773C22×C59—22no—
774C22×C59—22no—
775C22×C59—22no—
776C22×C59—22no—
777C22×C59—22no—
778C22×C59—22no—
779C22×C59—22no—
780C22×C59—22no—
781C22×C59—22no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59—41no—
793C22×C59#52514yes—
794C22×C59C23×D411yescharacteristic
795C22×C59C22×#4111yescharacteristic
796C22×C59C22×#4111yescharacteristic
797C22×C59C22×#4111yescharacteristic
798C22×C59C22×#4111yescharacteristic
799C22×C59C2×H(5,𝔽2)11yescharacteristic
800C22×C59#58511yescharacteristic
801C2×D59—22no—
802C2×D59—22no—
803C2×D59—22no—
804C2×D59—22no—
805C2×D59—22no—
806C2×D59—22no—
807C2×D59—22no—
808C2×D59—22no—
809C2×D59—22no—
810C2×D59—22no—
811C2×D59—22no—
812C2×D59—22no—
813C2×D59—416no—
814C2×D59—416no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59#52914yescomplemented
824C4×C59—22no—
825C4×C59—22no—
826C4×C59—22no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836Dic59—22no—
837Dic59—22no—
838Dic59—22no—
839Dic59—22no—
840Dic59—22no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59#54614yes—
849C2×#529—591no—
850C22×C4×D4—591no—
851#2481—591no—
852#2480—591no—
853#2473—591no—
854#2472—591no—
855#2467—591no—
856#2466—591no—
857#2460—591no—
858#2459—591no—
859#2450—591no—
860#2444D5911yescharacteristic, complemented
861#2437—591no—
862#2425—591no—
863#2419—591no—
864#2412—591no—
865#2410—591no—
866#2405—591no—
867#2398—591no—
868#2395—591no—
869#2392—591no—
870#2392—591no—
871C4×C22⋊Q8—591no—
872C4×#123—591no—
873C4×#121—591no—
874C4×#120—591no—
875C4×#120—591no—
876#2290—591no—
877#2290—591no—
878#2280—591no—
879C2×C4×C22⋊C4—591no—
880C2×C59—24no—
881C2×C59—42no—
882C2×C59—81no—
883C2×C59C2×#52511yescharacteristic
884C2×C59C2×#52911yescharacteristic
885C2×C59#345911yescharacteristic
886C2×C59C2×#54611yescharacteristic
887C2×C59D4×#4111yescharacteristic
888C2×C59#347511yescharacteristic
889C2×C59#348111yescharacteristic
890D59—24no—
891D59—42no—
892D59—42no—
893C23×D4—591no—
894C24×C4—591no—
895C24×C4—591no—
896#529—1188no—
897C2×#126—591no—
898C2×#126—591no—
899C2×#125—591no—
900C2×#124—591no—
901C2×#123—591no—
902C2×#123—591no—
903C2×#123—591no—
904C2×C22⋊Q8—591no—
905C2×C22⋊Q8—591no—
906C2×#121—591no—
907C2×#121C2×D5911yescharacteristic
908C2×#120—591no—
909C2×#120—591no—
910C2×C4×Q8—591no—
911C2×C4×D4—591no—
912C2×C4×D4—591no—
913C2×C4×D4—591no—
914C2×C4×D4—591no—
915C2×C4×D4—591no—
916C2×C4×D4—591no—
917C2×C4×D4—591no—
918C2×C4×D4—591no—
919C2×C4×D4—591no—
920C2×C4×D4—591no—
921C2×C4×D4—591no—
922C2×C4×D4—591no—
923C2×C4×D4—1188no—
924C2×C4×D4C2×D5911yescharacteristic
925C2×#117—591no—
926C2×#117—591no—
927C2×#117—591no—
928C22×C4⋊C4—591no—
929C22×C22⋊C4—591no—
930C22×C22⋊C4—591no—
931C22×C22⋊C4—591no—
932C22×C22⋊C4—591no—
933C22×C42—591no—
934C22×C42—591no—
935C22×C42—591no—
936#400—591no—
937#400—591no—
938#400C2×D5911yescharacteristic, complemented
939#399—591no—
940#398—591no—
941#398—591no—
942#398—591no—
943#397—591no—
944#397—591no—
945#397—591no—
946#397—591no—
947#397—591no—
948#397C2×D5911yescharacteristic, complemented
949#397C2×D5911yescharacteristic, complemented
950#396—591no—
951#396—591no—
952#396—591no—
953#396—591no—
954#394—591no—
955#394—591no—
956#394—591no—
957#394—591no—
958#394—591no—
959#394—591no—
960#394—591no—
961#394—591no—
962#394—591no—
963#394C2×D5911yescharacteristic, complemented
964#393—591no—
965#393—591no—
966#392—591no—
967#392—591no—
968#391—591no—
969#390—591no—
970#389—591no—
971#389—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388C2×D5911yescharacteristic, complemented
980#387—591no—
981#387—591no—
982#387—591no—
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387C2×D5911yescharacteristic, complemented
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386C2×D5911yescharacteristic
998#386C2×D5911yescharacteristic, complemented
999#386C2×D5911yescharacteristic, complemented
1000#386C2×D5911yescharacteristic, complemented
1001#385—591no—
1002#385—591no—
1003#385—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#385—591no—
1009#385—591no—
1010#385—591no—
1011#385—591no—
1012#385—591no—
1013#385C2×D5911yescharacteristic, complemented
1014#381—591no—
1015#381—591no—
1016#381C2×D5911yescharacteristic, complemented
1017#380—591no—
1018#380—591no—
1019#380—591no—
1020#380—591no—
1021#380—591no—
1022#380—591no—
1023#379—591no—
1024#379—591no—
1025#379—591no—
1026#379—591no—
1027C4×C4⋊C4—591no—
1028C4×C4⋊C4—591no—
1029C4×C4⋊C4—591no—
1030C4×C4⋊C4—591no—
1031C4×C22⋊C4—591no—
1032C4×C22⋊C4—591no—
1033C4×C22⋊C4—591no—
1034C4×C22⋊C4—591no—
1035C4×C22⋊C4—591no—
1036C4×C22⋊C4—591no—
1037C4×C22⋊C4—591no—
1038C4×C22⋊C4—591no—
1039C4×C22⋊C4—591no—
1040C4×C22⋊C4—591no—
1041C4×C22⋊C4—591no—
1042C4×C22⋊C4—591no—
1043C4×C22⋊C4—591no—
1044C4×C22⋊C4—591no—
1045C4×C22⋊C4—591no—
1046C4×C22⋊C4—591no—
1047#376—591no—
1048C2×#95—591no—
1049C2×#95C2×D5911yescharacteristic, complemented
1050C59#3467011yescharacteristic, complemented, Sylow
1051C25—591no—
1052C25—591no—
1053C22×Q8—591no—
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—1184no—
1061C22×D4—1184no—
1062C22×D4—1184no—
1063C22×D4C22×D5911yescharacteristic
1064C22×D4C22×D5911yescharacteristic
1065C22×D4C22×D5911yescharacteristic
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—591no—
1076C23×C4—591no—
1077C23×C4—591no—
1078C23×C4—591no—
1079C23×C4—591no—
1080C23×C4—1184no—
1081C23×C4—1184no—
1082C23×C4—1184no—
1083C23×C4—1184no—
1084C23×C4—2362no—
1085C23×C4—2362no—
1086C23×C4C22×D5911yescharacteristic
1087C23×C4C22×D5911yescharacteristic
1088C23×C4C22×D5911yescharacteristic
1089C23×C4C22×D5911yescharacteristic
1090#126—1184no—
1091#126—1184no—
1092#125—1184no—
1093#124—1184no—
1094#123—1184no—
1095#123—1184no—
1096#123—1184no—
1097C22⋊Q8—1184no—
1098C22⋊Q8—1184no—
1099#121—24no—
1100#121—1184no—
1101#120—1184no—
1102#120—1184no—
1103C4×Q8—1184no—
1104C4×D4—24no—
1105C4×D4—598no—
1106C4×D4—1184no—
1107C4×D4—1184no—
1108C4×D4—1184no—
1109C4×D4—1184no—
1110C4×D4—1184no—
1111C4×D4—1184no—
1112C4×D4—1184no—
1113C4×D4—1184no—
1114C4×D4—1184no—
1115C4×D4—2362no—
1116C4×D4—2362no—
1117#117—1184no—
1118#117—1184no—
1119#117—2362no—
1120C2×C4⋊C4—591no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4—591no—
1124C2×C4⋊C4—591no—
1125C2×C4⋊C4—591no—
1126C2×C4⋊C4—591no—
1127C2×C4⋊C4—591no—
1128C2×C4⋊C4—591no—
1129C2×C4⋊C4—591no—
1130C2×C4⋊C4—591no—
1131C2×C4⋊C4—591no—
1132C2×C4⋊C4—591no—
1133C2×C4⋊C4—591no—
1134C2×C4⋊C4—591no—
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—1184no—
1143C2×C4⋊C4C22×D5911yescharacteristic
1144C2×C4⋊C4C22×D5911yescharacteristic
1145C2×C4⋊C4C22×D5911yescharacteristic
1146C2×C4⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—1184no—
1185C2×C22⋊C4—1184no—
1186C2×C22⋊C4—1184no—
1187C2×C22⋊C4—1184no—
1188C2×C22⋊C4C22×D5911yescharacteristic
1189C2×C22⋊C4C22×D5911yescharacteristic
1190C2×C22⋊C4C22×D5911yescharacteristic
1191C2×C22⋊C4C22×D5911yescharacteristic
1192C2×C22⋊C4C22×D5911yescharacteristic
1193C2×C22⋊C4C22×D5911yescharacteristic
1194C2×C22⋊C4C22×D5911yescharacteristic
1195C2×C22⋊C4C22×D5911yescharacteristic
1196C2×C22⋊C4C22×D5911yescharacteristic
1197C2×C22⋊C4C22×D5911yescharacteristic
1198C2×C22⋊C4C22×D5911yescharacteristic
1199C2×C42—591no—
1200C2×C42—591no—
1201C2×C42—591no—
1202C2×C42—591no—
1203C2×C42—591no—
1204C2×C42—591no—
1205C2×C42—591no—
1206C2×C42—591no—
1207C2×C42—591no—
1208C2×C42—591no—
1209C2×C42—591no—
1210C2×C42—591no—
1211C2×C42—591no—
1212C2×C42—591no—
1213C2×C42—1184no—
1214C2×C42—1184no—
1215C2×C42—2362no—
1216C2×C42C22×D5911yescharacteristic
1217#95—591no—
1218#95—591no—
1219#95—591no—
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#95C22×D5911yescharacteristic
1242#95C22×D5911yescharacteristic
1243#95C22×D5911yescharacteristic
1244#95C22×D5911yescharacteristic
1245#95C22×D5911yescharacteristic
1246#95C22×D5911yescharacteristic
1247#95C22×D5911yescharacteristic
1248#95C22×D5911yescharacteristic
1249#95C22×D5911yescharacteristic
1250#95C22×D5911yescharacteristic
1251#95C22×D5911yescharacteristic
1252#95C22×D5911yescharacteristic
1253C24—591no—
1254C24—591no—
1255C24—591no—
1256C24—594no—
1257C24—1182no—
1258C24—1182no—
1259C24—1182no—
1260C24—1182no—
1261C24—1182no—
1262C24—1182no—
1263C24—1182no—
1264C24—1182no—
1265C24—1182no—
1266C24—2361no—
1267C24—2361no—
1268C24—2361no—
1269C24—2361no—
1270C24C23×D5911yescharacteristic
1271C24C23×D5911yescharacteristic
1272C24C23×D5911yescharacteristic
1273C2×Q8—1182no—
1274C2×Q8—1182no—
1275C2×Q8—2361no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—41no—
1284C2×D4—594no—
1285C2×D4—1182no—
1286C2×D4—1182no—
1287C2×D4—1182no—
1288C2×D4—1182no—
1289C2×D4—11832no—
1290C2×D4—1182no—
1291C2×D4—1182no—
1292C2×D4—1182no—
1293C2×D4—1182no—
1294C2×D4—1182no—
1295C2×D4—1182no—
1296C2×D4—1182no—
1297C2×D4—1182no—
1298C2×D4—1182no—
1299C2×D4—1182no—
1300C2×D4—2361no—
1301C2×D4—2361no—
1302C2×D4—2361no—
1303C2×D4D4×D5914yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—591no—
1317C22×C4—594no—
1318C22×C4—594no—
1319C22×C4—591no—
1320C22×C4—591no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—594no—
1325C22×C4—591no—
1326C22×C4—591no—
1327C22×C4—591no—
1328C22×C4—591no—
1329C22×C4—591no—
1330C22×C4—591no—
1331C22×C4—591no—
1332C22×C4—1182no—
1333C22×C4—1182no—
1334C22×C4—1182no—
1335C22×C4—1182no—
1336C22×C4—1182no—
1337C22×C4—1182no—
1338C22×C4—1182no—
1339C22×C4—1182no—
1340C22×C4—1182no—
1341C22×C4—1182no—
1342C22×C4—1182no—
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—2361no—
1366C22×C4—2361no—
1367C22×C4—2361no—
1368C22×C4—2361no—
1369C22×C4—2361no—
1370C22×C4—23616no—
1371C22×C4—23616no—
1372C22×C4—2361no—
1373C22×C4C23×D5911yescharacteristic
1374C22×C4C23×D5911yescharacteristic
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C22×C4C23×D5911yescharacteristic
1378C22×C4C23×D5911yescharacteristic
1379C22×C4C23×D5911yescharacteristic
1380C22×C4C23×D5911yescharacteristic
1381C22×C4C23×D5911yescharacteristic
1382C22×C4C23×D5911yescharacteristic
1383C22×C4C23×D5911yescharacteristic
1384C22×C4C23×D5911yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—41no—
1389C4⋊C4—594no—
1390C4⋊C4—1182no—
1391C4⋊C4—1182no—
1392C4⋊C4—1182no—
1393C4⋊C4—1182no—
1394C4⋊C4—1182no—
1395C4⋊C4—1182no—
1396C4⋊C4—1182no—
1397C4⋊C4—1182no—
1398C4⋊C4—1182no—
1399C4⋊C4—1182no—
1400C4⋊C4—1182no—
1401C4⋊C4—1182no—
1402C4⋊C4—1182no—
1403C4⋊C4—1182no—
1404C4⋊C4—1182no—
1405C4⋊C4—1182no—
1406C4⋊C4—2361no—
1407C4⋊C4—2361no—
1408C4⋊C4—2361no—
1409C4⋊C4—2361no—
1410C4⋊C4—2361no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—594no—
1423C22⋊C4—594no—
1424C22⋊C4—594no—
1425C22⋊C4—1182no—
1426C22⋊C4—1182no—
1427C22⋊C4—1182no—
1428C22⋊C4—1182no—
1429C22⋊C4—1182no—
1430C22⋊C4—1182no—
1431C22⋊C4—1182no—
1432C22⋊C4—1182no—
1433C22⋊C4—1182no—
1434C22⋊C4—1182no—
1435C22⋊C4—1182no—
1436C22⋊C4—1182no—
1437C22⋊C4—1182no—
1438C22⋊C4—1182no—
1439C22⋊C4—1182no—
1440C22⋊C4—1182no—
1441C22⋊C4—1182no—
1442C22⋊C4—1182no—
1443C22⋊C4—1182no—
1444C22⋊C4—1182no—
1445C22⋊C4—1182no—
1446C22⋊C4—1182no—
1447C22⋊C4—1182no—
1448C22⋊C4—1182no—
1449C22⋊C4—1182no—
1450C22⋊C4—1182no—
1451C22⋊C4—1182no—
1452C22⋊C4—1182no—
1453C22⋊C4—2361no—
1454C22⋊C4—2361no—
1455C22⋊C4—2361no—
1456C22⋊C4—2361no—
1457C22⋊C4—2361no—
1458C22⋊C4—2361no—
1459C42—22no—
1460C42—594no—
1461C42—1182no—
1462C42—1182no—
1463C42—1182no—
1464C42—1182no—
1465C42—1182no—
1466C42—1182no—
1467C42—1182no—
1468C42—1182no—
1469C42—1182no—
1470C42—1182no—
1471C42—1182no—
1472C42—2361no—
1473C42—2361no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—592no—
1492C23—592no—
1493C23—592no—
1494C23—592no—
1495C23—592no—
1496C23—1188no—
1497C23—1188no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1188no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—1181no—
1508C23—1181no—
1509C23—1181no—
1510C23—1181no—
1511C23—1181no—
1512C23—1181no—
1513C23—1181no—
1514C23—1181no—
1515C23—2364no—
1516C23—2364no—
1517C23—2364no—
1518C23—2364no—
1519C23—2364no—
1520C23—2364no—
1521C23—2364no—
1522C23—2364no—
1523C23—2364no—
1524C23—2364no—
1525C23—2364no—
1526C23C2×D4×D5912yes—
1527C23C2×D4×D5912yes—
1528C23#41×D5912yes—
1529C23#41×D5912yes—
1530C23C24×D5911yescharacteristic
1531Q8—2364no—
1532D4—28no—
1533D4—44no—
1534D4—44no—
1535D4—1188no—
1536D4—1188no—
1537D4—1188no—
1538D4—2364no—
1539D4—2364no—
1540D4—2364no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
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—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—592no—
1579C2×C4—592no—
1580C2×C4—592no—
1581C2×C4—592no—
1582C2×C4—592no—
1583C2×C4—592no—
1584C2×C4—592no—
1585C2×C4—592no—
1586C2×C4—1188no—
1587C2×C4—1188no—
1588C2×C4—1188no—
1589C2×C4—1188no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
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—2364no—
1622C2×C4—2364no—
1623C2×C4—2364no—
1624C2×C4—2364no—
1625C2×C4—2364no—
1626C2×C4—2364no—
1627C2×C4—2364no—
1628C2×C4—2364no—
1629C2×C4—2364no—
1630C2×C4—2364no—
1631C2×C4C2×D4×D5912yes—
1632C2×C4#41×D5912yes—
1633C2×C4#41×D5912yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—594no—
1655C22—1182no—
1656C22—1182no—
1657C22—1182no—
1658C22—1182no—
1659C22—1182no—
1660C22—1182no—
1661C22—1182no—
1662C22—1182no—
1663C22—1182no—
1664C22—1182no—
1665C22—1182no—
1666C22—1182no—
1667C22—23616no—
1668C22—23616no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22—2361no—
1674C22—2361no—
1675C22—2361no—
1676C22—2361no—
1677C22#1683791014yes—
1678C22C22×D4×D5911yescharacteristic
1679C22C2×#41×D5911yescharacteristic
1680C22C2×#41×D5911yescharacteristic
1681C22C2×#41×D5911yescharacteristic
1682C22C2×#41×D5911yescharacteristic
1683C22H(5,𝔽2)×D5911yescharacteristic
1684C22#1683823711yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—594no—
1698C4—1182no—
1699C4—1182no—
1700C4—1182no—
1701C4—1182no—
1702C4—1182no—
1703C4—2361no—
1704C4—2361no—
1705C4—2361no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C2—24no—
1711C2—42no—
1712C2—81no—
1713C2—1184no—
1714C2—2362no—
1715C2—2362no—
1716C2C2×#1683791011yescharacteristic
1717C2#529×D5911yescharacteristic
1718C2#2143750711yescharacteristic
1719C2#546×D5911yescharacteristic
1720C2#2143758011yescharacteristic
1721C2#2143765511yescharacteristic
1722C2#2143770311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2444C2
prime radical#21427467C2
hypercenter#2444D59
hypocenterC59#34670
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. C2×#16837933C2semidirect
2. C2×C4×D4×D59C2semidirect
3. #21428352C2semidirect
4. #21428337C2semidirect
5. #21428232C2semidirect
6. #21428217C2semidirect
7. #21428146C2semidirect
8. #21428131C2semidirect
9. #21428047C2semidirect
10. #21428032C2semidirect
11. #21427920C2semidirect
12. #21427761C2semidirect
13. #21427649C2semidirect
14. #21427567C2semidirect
15. #21427495C2semidirect
17. #21427422C2semidirect
18. #21427385C2semidirect
19. #21427354C2semidirect
20. #21427339C2semidirect
21. #21427333C2semidirect
22. #21426630C2semidirect
23. #21426615C2semidirect
24. #21426606C2semidirect
25. #21426601C2semidirect
26. #21426601C2semidirect
27. #21426538C2semidirect
28. #21426536C2semidirect
29. #21426476C2semidirect
30. C2×#16837249C2semidirect
31. C59×#2444C2semidirect
36. C2×#14273720C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273718C22semidirect
39. C2×#14273714C22semidirect
42. C2×#14273708C22semidirect
43. C2×#14273706C22semidirect
48. C2×#14273692C22semidirect
51. C2×D4×Dic59C22semidirect
52. C2×D4×Dic59C22semidirect
59. C2×(C22⋊D59)⋊C4C22semidirect
60. C2×(C22⋊D59)⋊C4C22semidirect
62. C2×#14273683C22semidirect
63. C2×#14273683C22semidirect
64. C2×#14273683C22semidirect
70. C22×C4×Dic59C22semidirect
71. C22×C4×Dic59C22semidirect
73. #16837343C22semidirect
74. #16837340C22semidirect
75. #16837337C22semidirect
76. #16837336C22semidirect
77. #16837336C22semidirect
78. #16837333C22semidirect
79. #16837331C22semidirect
80. #16837331C22semidirect
81. #16837331C22semidirect
82. #16837330C22semidirect
83. #16837330C22semidirect
84. #16837326C22semidirect
85. #16837326C22semidirect
86. #16837325C22semidirect
87. #16837324C22semidirect
94. #16837317C22semidirect
95. #16837317C22semidirect
96. #16837317C22semidirect
97. #16837315C22semidirect
98. #16837315C22semidirect
101. #16837306C22semidirect
102. #16837302C22semidirect
103. #16837299C22semidirect
104. #16837299C22semidirect
105. #16837296C22semidirect
106. #16837295C22semidirect
107. #16837294C22semidirect
108. #16837292C22semidirect
109. #16837292C22semidirect
110. #16837290C22semidirect
111. #16837290C22semidirect
112. #16837287C22semidirect
113. #16837286C22semidirect
114. #16837286C22semidirect
115. #16837285C22semidirect
116. #16837285C22semidirect
117. #16837285C22semidirect
118. #16837284C22semidirect
126. #16837278C22semidirect
127. #16837278C22semidirect
132. #16837276C22semidirect
133. #16837276C22semidirect
134. #16837275C22semidirect
135. #16837275C22semidirect
136. #16837275C22semidirect
137. #16837274C22semidirect
140. #16837265C22semidirect
141. #16837263C22semidirect
145. #16837261C22semidirect
146. #16837261C22semidirect
147. #16837260C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4⋊C4×Dic59C22semidirect
154. #16837253C22semidirect
155. #16837253C22semidirect
156. C22⋊C4×Dic59C22semidirect
157. C22⋊C4×Dic59C22semidirect
158. C22⋊C4×Dic59C22semidirect
164. #16837249C22semidirect
165. #16837249C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. #16837247C22semidirect
173. C2×C59⋊#95C22semidirect
176. C59×#400C22semidirect
177. C59×#397C22semidirect
178. C59×#397C22semidirect
179. C59×#394C22semidirect
180. C59×#388C22semidirect
181. C59×#387C22semidirect
183. C59×#386C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
186. C59×#385C22semidirect
187. C59×#381C22semidirect
188. C2×#95×C59C22semidirect
237. D4×Dic59D4semidirect
823. C2×D59#529semidirect
860. #2444D59semidirect
938. #400C2×D59semidirect
948. #397C2×D59semidirect
949. #397C2×D59semidirect
963. #394C2×D59semidirect
979. #388C2×D59semidirect
987. #387C2×D59semidirect
998. #386C2×D59semidirect
999. #386C2×D59semidirect
1000. #386C2×D59semidirect
1013. #385C2×D59semidirect
1016. #381C2×D59semidirect
1049. C2×#95C2×D59semidirect
1050. C59#34670semidirect

Maximal subgroups

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

subgroupindex
C2×#168379332
C2×C4×D4×D592
#214283522
#214283372
#214282322
#214282172
#214281462
#214281312
#214280472
#214280322
#214279202
#214277612
#214276492
#214275672
#214274952
#214274672
#214274222
#214273852
#214273542
#214273392
#214273332
#214266302
#214266152
#214266062
#214266012
#214265382
#214265362
#214264762
C2×#168372492
C59×#24442
#3467059