Finite Group Databasebeta

← #28756870

Subgroups — #28756870

Order 15104.

2992 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837929C211yesmaximal, characteristic, complemented
2C2×C4×D4×D59C211yesmaximal, characteristic, complemented
3#21428348C211yesmaximal, characteristic, complemented
4#21428340C211yesmaximal, characteristic, complemented
5#21428164C211yesmaximal, characteristic, complemented
6#21428156C211yesmaximal, characteristic, complemented
7#21428003C211yesmaximal, characteristic, complemented
8#21427967C211yesmaximal, characteristic, complemented
9#21427882C211yesmaximal, characteristic, complemented
10#21427813C211yesmaximal, characteristic, complemented
11#21427742C211yesmaximal, characteristic, complemented
12#21427670C211yesmaximal, characteristic, complemented
13#21427585C211yesmaximal, characteristic, complemented
14#21427557C211yesmaximal, characteristic, complemented
15#21427555C211yesmaximal, characteristic, complemented
16#21427540C211yesmaximal, characteristic, complemented
17#21427445C211yesmaximal, characteristic
18#21427362C211yesmaximal, characteristic, complemented
19#21427352C211yesmaximal, characteristic, complemented
20#21427341C211yesmaximal, characteristic, complemented
21#21427331C211yesmaximal, characteristic, complemented
22#21426637C211yesmaximal, characteristic, complemented
23#21426630C211yesmaximal, characteristic, complemented
24#21426606C211yesmaximal, characteristic, complemented
25#21426601C211yesmaximal, characteristic, complemented
26#21426601C211yesmaximal, characteristic, complemented
27#21426556C211yesmaximal, characteristic, complemented
28#21426478C211yesmaximal, characteristic, complemented
29#21426476C211yesmaximal, characteristic, complemented
30C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
31C59×#2457C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837929—28no—
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273717C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic
40C2×#14273713C2211yescharacteristic
41C2×#14273710C2211yescharacteristic, complemented
42C2×#14273705C2211yescharacteristic
43C2×#14273704C2211yescharacteristic, complemented
44C2×#14273699C2211yescharacteristic
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×C4×C22⋊D59C2211yescharacteristic
57C2×(C22⋊D59)⋊C4C2211yescharacteristic
58C2×(C22⋊D59)⋊C4C2211yescharacteristic
59C2×(C22⋊D59)⋊C4C2211yescharacteristic
60C2×(C22⋊D59)⋊C4C2211yescharacteristic
61C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
62C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
63C4×D4×D59—28no—
64C2×#14273685C2211yescharacteristic, complemented
65C2×#14273685C2211yescharacteristic, complemented
66C2×#14273683C2211yescharacteristic, complemented
67C2×#14273683C2211yescharacteristic, complemented
68C2×C4⋊C4×D59C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic
70C2×C22⋊C4×D59C2211yescharacteristic
71C22×C4×Dic59C2211yescharacteristic, complemented
72C2×C42×D59C2211yescharacteristic
73#16837344C2211yescharacteristic, complemented
74#16837338C2211yescharacteristic, complemented
75#16837337C2211yescharacteristic, complemented
76#16837335C2211yescharacteristic, complemented
77#16837335C2211yescharacteristic, complemented
78#16837334C2211yescharacteristic, complemented
79#16837332C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837331C2211yescharacteristic, complemented
83#16837330C2211yescharacteristic, complemented
84#16837330C2211yescharacteristic, complemented
85#16837329C2211yescharacteristic, complemented
86#16837327C2211yescharacteristic, complemented
87#16837327C2211yescharacteristic, complemented
88#16837325C2211yescharacteristic, complemented
89#16837325C2211yescharacteristic, complemented
90#16837324C2211yescharacteristic, complemented
91#16837320C2211yescharacteristic
92#16837320C2211yescharacteristic
93#16837319C2211yescharacteristic
94#16837318C2211yescharacteristic, complemented
95#16837318C2211yescharacteristic, complemented
96#16837316C2211yescharacteristic
97#16837316C2211yescharacteristic
98#16837316C2211yescharacteristic, complemented
99#16837316C2211yescharacteristic, complemented
100#16837311C2211yescharacteristic
101#16837306C2211yescharacteristic, complemented
102#16837306C2211yescharacteristic, complemented
103#16837302C2211yescharacteristic
104#16837302C2211yescharacteristic
105#16837302C2211yescharacteristic
106#16837302C2211yescharacteristic
107#16837299C2211yescharacteristic, complemented
108#16837299C2211yescharacteristic, complemented
109#16837299C2211yescharacteristic, complemented
110#16837297C2211yescharacteristic, complemented
111#16837296C2211yescharacteristic, complemented
112#16837295C2211yescharacteristic, complemented
113#16837294C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837292C2211yescharacteristic, complemented
117#16837291C2211yescharacteristic, complemented
118#16837290C2211yescharacteristic, complemented
119#16837286C2211yescharacteristic, complemented
120#16837281C2211yescharacteristic, complemented
121#16837278C2211yescharacteristic
122#16837278C2211yescharacteristic
123#16837278C2211yescharacteristic, complemented
124#16837278C2211yescharacteristic, complemented
125#16837276C2211yescharacteristic
126#16837276C2211yescharacteristic
127#16837276C2211yescharacteristic
128#16837276C2211yescharacteristic, complemented
129#16837276C2211yescharacteristic, complemented
130#16837275C2211yescharacteristic, complemented
131#16837275C2211yescharacteristic, complemented
132#16837273C2211yescharacteristic
133#16837266C2211yescharacteristic, complemented
134#16837265C2211yescharacteristic, complemented
135#16837264C2211yescharacteristic, complemented
136#16837264C2211yescharacteristic, complemented
137#16837262C2211yescharacteristic, complemented
138#16837261C2211yescharacteristic
139#16837261C2211yescharacteristic
140#16837261C2211yescharacteristic
141#16837261C2211yescharacteristic, complemented
142#16837261C2211yescharacteristic, complemented
143#16837260C2211yescharacteristic, complemented
144#16837259C2211yescharacteristic
145#16837259C2211yescharacteristic
146#16837257C2211yescharacteristic
147#16837257C2211yescharacteristic
148#16837257C2211yescharacteristic
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151#16837257C2211yescharacteristic
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4×Dic59⋊C4C2211yescharacteristic, complemented
154#16837253C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156#16837253C2211yescharacteristic, complemented
157#16837253C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic, complemented
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic, complemented
161C22⋊C4×Dic59C2211yescharacteristic, complemented
162C22⋊C4×Dic59C2211yescharacteristic, complemented
163C22⋊C4×Dic59C2211yescharacteristic, complemented
164C4×(C2×D59)⋊C4C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#16837249C2211yescharacteristic, complemented
173C42×Dic59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic, complemented
175C2×C4×D4×C59C2211yescharacteristic
176C59×#400C2211yescharacteristic, complemented
177C59×#396C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic
179C59×#392C2211yescharacteristic
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#381C2211yescharacteristic, complemented
187C59×#380C2211yescharacteristic, complemented
188C4×C22⋊C4×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
205C22×C4×D59—24no—
206C22×C4×D59—24no—
207C22×C4×D59—24no—
208C22×C4×D59—24no—
209C22×C4×D59—42no—
210C22×C4×D59—42no—
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220#14273722—24no—
221#14273720—24no—
222#14273717—24no—
223#14273713—24no—
224#14273713—24no—
225#14273710—24no—
226#14273705—24no—
227#14273704—24no—
228#14273699—24no—
229#14273699—24no—
230#14273695—24no—
231#14273695—24no—
232#14273692—24no—
233C4×D236—24no—
234D4×Dic59—24no—
235D4×Dic59—24no—
236D4×Dic59—42no—
237#14273689—24no—
238C4×C22⋊D59—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—24no—
245(C22⋊D59)⋊C4—42no—
246(C22⋊D59)⋊C4D418yescomplemented
247#14273685—24no—
248#14273685—42no—
249#14273683—24no—
250#14273683—42no—
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
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
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C4⋊C4×D59—24no—
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
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
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C22⋊C4×D59—24no—
314C22⋊C4×D59—24no—
315C2×C4×Dic59—24no—
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
329C2×C4×Dic59C2311yescharacteristic
330C2×C4×Dic59C2311yescharacteristic
331C42×D59—24no—
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
360#123×C59—24no—
361C4×D4×C59—24no—
362C2×C4⋊C4×C59C2311yescharacteristic
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×C22⋊C4×C59C2311yescharacteristic
379C2×C42×C59C2311yescharacteristic
380C2×C42×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—22no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59—41no—
407C23×D59—41no—
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×C59—41no—
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—41no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
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
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
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—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59C2×D414yes—
454C2×C22⋊D59#4114yes—
455C2×C22⋊D59#4114yes—
456C22×Dic59—22no—
457C22×Dic59—22no—
458C22×Dic59—22no—
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×Dic59C2×D414yes—
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481D4×D59—232no—
482C2×D236—22no—
483C2×D236—22no—
484C2×D236—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—416no—
505C2×C4×D59—416no—
506C2×C4×D59—41no—
507C2×C4×D59—41no—
508C2×C4×D59—41no—
509C2×C4×D59—41no—
510C2×C4×D59—41no—
511C2×C4×D59C2×D414yes—
512C2×C4×D59#4114yes—
513C2×C4×D59#4114yes—
514C2×Dic118—22no—
515C2×Dic118—22no—
516C2×Dic118—22no—
517C4⋊C4×C59—22no—
518C4⋊C4×C59—22no—
519C4⋊C4×C59—22no—
520C4⋊C4×C59—22no—
521C4⋊C4×C59—41no—
522C22⋊C4×C59—22no—
523C22⋊C4×C59—22no—
524C22⋊C4×C59—22no—
525C22⋊C4×C59—22no—
526C22⋊C4×C59—22no—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—41no—
529C22⋊C4×C59—41no—
530C22⋊C4×C59—41no—
531C22⋊C4×C59—41no—
532C22⋊C4×C59—41no—
533C22⋊C4×C59C2×D414yes—
534C42×C59—22no—
535C42×C59—41no—
536C22⋊Dic59—22no—
537C22⋊Dic59—22no—
538C22⋊Dic59—22no—
539C22⋊Dic59—22no—
540C22⋊Dic59—22no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—22no—
546C22⋊Dic59—41no—
547C22⋊Dic59—41no—
548C22⋊Dic59—41no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—22no—
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—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4—41no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4C2×D414yes—
574C4⋊Dic59—22no—
575C4⋊Dic59—22no—
576C4⋊Dic59—22no—
577C4⋊Dic59—41no—
578C4⋊Dic59—41no—
579C4⋊Dic59—41no—
580Dic59⋊C4—22no—
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—41no—
593Dic59⋊C4—41no—
594Dic59⋊C4—41no—
595Dic59⋊C4—41no—
596Dic59⋊C4C2×D414yes—
597C4×Dic59—22no—
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—22no—
610C4×Dic59—22no—
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×C59—21no—
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—44no—
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×D59C22×D412yes—
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—44no—
705C2×C4×C59—44no—
706C2×C4×C59—44no—
707C2×C4×C59C22×D412yes—
708C2×C4×C59C22×D412yes—
709C2×C4×C59C2×#4112yes—
710C2×C4×C59C2×#4112yes—
711C22⋊D59—28no—
712C22⋊D59—28no—
713C22⋊D59—28no—
714C22⋊D59—44no—
715C22⋊D59—44no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—28no—
721C2×Dic59—21no—
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—44no—
749C2×Dic59—44no—
750C2×Dic59—44no—
751C2×Dic59C22×D412yes—
752C2×Dic59C22×D412yes—
753C2×Dic59C22×D412yes—
754C2×Dic59C2×#4112yes—
755C2×Dic59C2×#4112yes—
756C2×Dic59C2×#4112yes—
757C2×Dic59C2×#4112yes—
758C2×Dic59H(5,𝔽2)12yes—
759D236—28no—
760C4×D59—28no—
761C4×D59—28no—
762C4×D59—28no—
763C4×D59—44no—
764C4×D59—44no—
765C4×D59—44no—
766C4×D59—44no—
767C4×D59—44no—
768C4×D59—44no—
769Dic118—44no—
770#34700—591nomaximal, Sylow
771C22×C59—22no—
772C22×C59—22no—
773C22×C59—22no—
774C22×C59—22no—
775C22×C59—22no—
776C22×C59—22no—
777C22×C59—22no—
778C22×C59—22no—
779C22×C59—22no—
780C22×C59—41no—
781C22×C59—41no—
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×C59C23×D411yescharacteristic
793C22×C59C22×#4111yescharacteristic
794C22×C59C22×#4111yescharacteristic
795C22×C59C22×#4111yescharacteristic
796C22×C59C22×#4111yescharacteristic
797C22×C59C2×H(5,𝔽2)11yescharacteristic
798C22×C59#58511yescharacteristic
799C2×D59—22no—
800C2×D59—22no—
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—416no—
812C2×D59—416no—
813C2×D59—41no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59#52914yescomplemented
822C4×C59—22no—
823C4×C59—22no—
824C4×C59—22no—
825C4×C59—22no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834Dic59—22no—
835Dic59—22no—
836Dic59—41no—
837Dic59—41no—
838Dic59—41no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59#52514yes—
846Dic59#54614yes—
847C2×#529—591no—
848C22×C4×D4—591no—
849#2480—591no—
850#2480—591no—
851#2468—591no—
852#2468—591no—
853#2457—591no—
854#2457D5911yescharacteristic, complemented
855#2454—591no—
856#2447—591no—
857#2442—591no—
858#2435—591no—
859#2427—591no—
860#2420—591no—
861#2418—591no—
862#2418—591no—
863#2417—591no—
864#2408—591no—
865#2395—591no—
866#2395—591no—
867#2392—591no—
868#2392—591no—
869C4×#124—591no—
870C4×C22⋊Q8—591no—
871C4×#121—591no—
872C4×#120—591no—
873C4×#120—591no—
874#2293—591no—
875#2280—591no—
876#2280—591no—
877C42×D4—591no—
878C2×C59—42no—
879C2×C59—42no—
880C2×C59—42no—
881C2×C59C2×#52511yescharacteristic
882C2×C59C2×#52911yescharacteristic
883C2×C59#346011yescharacteristic
884C2×C59C2×#54611yescharacteristic
885C2×C59D4×#4111yescharacteristic
886C2×C59#347511yescharacteristic
887C2×C59#348111yescharacteristic
888D59—24no—
889D59—42no—
890D59—42no—
891C23×D4—591no—
892C24×C4—591no—
893C24×C4—591no—
894#529—1188no—
895C2×#126—591no—
896C2×#126—591no—
897C2×#125—591no—
898C2×#124—591no—
899C2×#124—591no—
900C2×#123—591no—
901C2×#123C2×D5911yescharacteristic, complemented
902C2×C22⋊Q8—591no—
903C2×C22⋊Q8—591no—
904C2×#121—591no—
905C2×#121—591no—
906C2×#120—591no—
907C2×#120—591no—
908C2×C4×Q8—591no—
909C2×C4×D4—591no—
910C2×C4×D4—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—
928C2×#117—591no—
929C22×C4⋊C4—591no—
930C22×C22⋊C4—591no—
931C22×C22⋊C4—591no—
932C22×C42—591no—
933C22×C42—591no—
934#400—591no—
935#400C2×D5911yescharacteristic, complemented
936#399—591no—
937#399—591no—
938#398—591no—
939#398—591no—
940#398—591no—
941#398—591no—
942#397—591no—
943#397—591no—
944#397—591no—
945#397—591no—
946#397—591no—
947#397—591no—
948#397—591no—
949#397—591no—
950#396—591no—
951#396—591no—
952#396—591no—
953#396C2×D5911yescharacteristic, complemented
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
964#392—591no—
965#392C2×D5911yescharacteristic
966#391—591no—
967#391—591no—
968#390—591no—
969#390—591no—
970#390—591no—
971#390—591no—
972#389—591no—
973#389—591no—
974#389—591no—
975#389—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388—591no—
982#388—591no—
983#388—591no—
984#388C2×D5911yescharacteristic, complemented
985#388C2×D5911yescharacteristic, complemented
986#387—591no—
987#387C2×D5911yescharacteristic, complemented
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386C2×D5911yescharacteristic, complemented
994#386C2×D5911yescharacteristic, complemented
995#386C2×D5911yescharacteristic, complemented
996#385—591no—
997#385—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#385—591no—
1003#385—591no—
1004#382—591no—
1005#381—591no—
1006#381—591no—
1007#381—591no—
1008#381C2×D5911yescharacteristic, complemented
1009#380—591no—
1010#380—591no—
1011#380—591no—
1012#380—591no—
1013#380—591no—
1014#380—591no—
1015#380—591no—
1016#380—591no—
1017#380—591no—
1018#380C2×D5911yescharacteristic, complemented
1019#379—591no—
1020#379—591no—
1021#379—591no—
1022#379—591no—
1023#379—591no—
1024#379—591no—
1025C4×C4⋊C4—591no—
1026C4×C4⋊C4—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⋊C4C2×D5911yescharacteristic, complemented
1047C43—591no—
1048C59#3470011yescharacteristic, complemented, Sylow
1049C25—591no—
1050C25—591no—
1051C22×Q8—591no—
1052C22×D4—591no—
1053C22×D4—591no—
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—1184no—
1059C22×D4—1184no—
1060C22×D4—1184no—
1061C22×D4C22×D5911yescharacteristic
1062C22×D4C22×D5911yescharacteristic
1063C22×D4C22×D5911yescharacteristic
1064C23×C4—591no—
1065C23×C4—591no—
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—1184no—
1078C23×C4—1184no—
1079C23×C4—1184no—
1080C23×C4—1184no—
1081C23×C4—2362no—
1082C23×C4—2362no—
1083C23×C4C22×D5911yescharacteristic
1084C23×C4C22×D5911yescharacteristic
1085C23×C4C22×D5911yescharacteristic
1086#126—1184no—
1087#126—1184no—
1088#125—1184no—
1089#124—1184no—
1090#124—1184no—
1091#123—24no—
1092#123—1184no—
1093C22⋊Q8—1184no—
1094C22⋊Q8—1184no—
1095#121—1184no—
1096#121—1184no—
1097#120—1184no—
1098#120—1184no—
1099C4×Q8—1184no—
1100C4×D4—24no—
1101C4×D4—598no—
1102C4×D4—1184no—
1103C4×D4—1184no—
1104C4×D4—1184no—
1105C4×D4—1184no—
1106C4×D4—1184no—
1107C4×D4—1184no—
1108C4×D4—1184no—
1109C4×D4—1184no—
1110C4×D4—1184no—
1111C4×D4—1184no—
1112C4×D4—1184no—
1113C4×D4—2362no—
1114C4×D4—2362no—
1115#117—1184no—
1116#117—1184no—
1117#117—2362no—
1118#117—2362no—
1119C2×C4⋊C4—591no—
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×C4⋊C4C22×D5911yescharacteristic
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—591no—
1185C2×C22⋊C4—591no—
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×C22⋊C4C22×D5911yescharacteristic
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—591no—
1214C2×C42—591no—
1215C2×C42—1184no—
1216C2×C42—1184no—
1217C2×C42C22×D5911yescharacteristic
1218C2×C42C22×D5911yescharacteristic
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
1251C24—591no—
1252C24—591no—
1253C24—591no—
1254C24—1182no—
1255C24—1182no—
1256C24—1182no—
1257C24—1182no—
1258C24—1182no—
1259C24—1182no—
1260C24—1182no—
1261C24—1182no—
1262C24—1182no—
1263C24—1182no—
1264C24—2361no—
1265C24—2361no—
1266C24—2361no—
1267C24—2361no—
1268C24C23×D5911yescharacteristic
1269C24C23×D5911yescharacteristic
1270C24C23×D5911yescharacteristic
1271C2×Q8—1182no—
1272C2×Q8—1182no—
1273C2×Q8—1182no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—594no—
1284C2×D4—594no—
1285C2×D4—594no—
1286C2×D4—1182no—
1287C2×D4—1182no—
1288C2×D4—1182no—
1289C2×D4—1182no—
1290C2×D4—1182no—
1291C2×D4—1182no—
1292C2×D4—11832no—
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—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—591no—
1312C22×C4—591no—
1313C22×C4—594no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—594no—
1317C22×C4—594no—
1318C22×C4—594no—
1319C22×C4—591no—
1320C22×C4—591no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—591no—
1325C22×C4—591no—
1326C22×C4—591no—
1327C22×C4—591no—
1328C22×C4—1182no—
1329C22×C4—1182no—
1330C22×C4—1182no—
1331C22×C4—1182no—
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—2361no—
1359C22×C4—2361no—
1360C22×C4—2361no—
1361C22×C4—2361no—
1362C22×C4—2361no—
1363C22×C4—23616no—
1364C22×C4—23616no—
1365C22×C4C23×D5911yescharacteristic
1366C22×C4C23×D5911yescharacteristic
1367C22×C4C23×D5911yescharacteristic
1368C22×C4C23×D5911yescharacteristic
1369C22×C4C23×D5911yescharacteristic
1370C22×C4C23×D5911yescharacteristic
1371C22×C4C23×D5911yescharacteristic
1372C22×C4C23×D5911yescharacteristic
1373C22×C4C23×D5911yescharacteristic
1374C22×C4C23×D5911yescharacteristic
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—41no—
1382C4⋊C4—594no—
1383C4⋊C4—1182no—
1384C4⋊C4—1182no—
1385C4⋊C4—1182no—
1386C4⋊C4—1182no—
1387C4⋊C4—1182no—
1388C4⋊C4—1182no—
1389C4⋊C4—1182no—
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—2361no—
1399C4⋊C4—2361no—
1400C4⋊C4—2361no—
1401C4⋊C4—2361no—
1402C4⋊C4—2361no—
1403C4⋊C4—2361no—
1404C4⋊C4—2361no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—594no—
1417C22⋊C4—1182no—
1418C22⋊C4—1182no—
1419C22⋊C4—1182no—
1420C22⋊C4—1182no—
1421C22⋊C4—1182no—
1422C22⋊C4—1182no—
1423C22⋊C4—1182no—
1424C22⋊C4—1182no—
1425C22⋊C4—1182no—
1426C22⋊C4—1182no—
1427C22⋊C4—1182no—
1428C22⋊C4—1182no—
1429C22⋊C4—1182no—
1430C22⋊C4—1182no—
1431C22⋊C4—1182no—
1432C22⋊C4—1182no—
1433C22⋊C4—1182no—
1434C22⋊C4—1182no—
1435C22⋊C4—1182no—
1436C22⋊C4—1182no—
1437C22⋊C4—1182no—
1438C22⋊C4—1182no—
1439C22⋊C4—1182no—
1440C22⋊C4—1182no—
1441C22⋊C4—1182no—
1442C22⋊C4—1182no—
1443C22⋊C4—1182no—
1444C22⋊C4—1182no—
1445C22⋊C4—2361no—
1446C22⋊C4—2361no—
1447C22⋊C4—2361no—
1448C22⋊C4—2361no—
1449C22⋊C4—2361no—
1450C22⋊C4—2361no—
1451C22⋊C4—2361no—
1452C22⋊C4—2361no—
1453C22⋊C4—2361no—
1454C22⋊C4D4×D5914yes—
1455C42—22no—
1456C42—41no—
1457C42—594no—
1458C42—1182no—
1459C42—1182no—
1460C42—1182no—
1461C42—1182no—
1462C42—1182no—
1463C42—1182no—
1464C42—1182no—
1465C42—1182no—
1466C42—1182no—
1467C42—1182no—
1468C42—1182no—
1469C42—1182no—
1470C42—1182no—
1471C42—1182no—
1472C23—21no—
1473C23—21no—
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—592no—
1491C23—592no—
1492C23—592no—
1493C23—592no—
1494C23—592no—
1495C23—1188no—
1496C23—1188no—
1497C23—1181no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1181no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—1181no—
1508C23—1181no—
1509C23—1181no—
1510C23—1181no—
1511C23—1181no—
1512C23—1181no—
1513C23—2364no—
1514C23—2364no—
1515C23—2364no—
1516C23—2364no—
1517C23—2364no—
1518C23—2364no—
1519C23—2364no—
1520C23—2364no—
1521C23—2364no—
1522C23—2364no—
1523C23—2364no—
1524C23—2364no—
1525C23C2×D4×D5912yes—
1526C23#41×D5912yes—
1527C23#41×D5912yes—
1528C23C24×D5911yescharacteristic
1529Q8—2364no—
1530D4—28no—
1531D4—44no—
1532D4—44no—
1533D4—1188no—
1534D4—1188no—
1535D4—1188no—
1536D4—1188no—
1537D4—2364no—
1538D4—2364no—
1539C2×C4—21no—
1540C2×C4—21no—
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—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—592no—
1575C2×C4—592no—
1576C2×C4—592no—
1577C2×C4—592no—
1578C2×C4—592no—
1579C2×C4—592no—
1580C2×C4—592no—
1581C2×C4—592no—
1582C2×C4—1188no—
1583C2×C4—1188no—
1584C2×C4—1188no—
1585C2×C4—1188no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
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—2364no—
1618C2×C4—2364no—
1619C2×C4—2364no—
1620C2×C4—2364no—
1621C2×C4—2364no—
1622C2×C4—2364no—
1623C2×C4—2364no—
1624C2×C4—2364no—
1625C2×C4—2364no—
1626C2×C4C2×D4×D5912yes—
1627C2×C4C2×D4×D5912yes—
1628C2×C4#41×D5912yes—
1629C2×C4#41×D5912yes—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—594no—
1652C22—1182no—
1653C22—1182no—
1654C22—1182no—
1655C22—1182no—
1656C22—1182no—
1657C22—1182no—
1658C22—1182no—
1659C22—1182no—
1660C22—1182no—
1661C22—1182no—
1662C22—1182no—
1663C22—1182no—
1664C22—23616no—
1665C22—23616no—
1666C22—2361no—
1667C22—2361no—
1668C22—2361no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22—2361no—
1674C22C22×D4×D5911yescharacteristic
1675C22C2×#41×D5911yescharacteristic
1676C22C2×#41×D5911yescharacteristic
1677C22C2×#41×D5911yescharacteristic
1678C22C2×#41×D5911yescharacteristic
1679C22H(5,𝔽2)×D5911yescharacteristic
1680C22#1683823711yescharacteristic
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—594no—
1694C4—594no—
1695C4—1182no—
1696C4—1182no—
1697C4—2361no—
1698C4—2361no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4—2361no—
1705C4—2361no—
1706C2—42no—
1707C2—42no—
1708C2—42no—
1709C2—1184no—
1710C2—2362no—
1711C2—2362no—
1712C2#525×D5911yescharacteristic
1713C2#529×D5911yescharacteristic
1714C2#2143751111yescharacteristic
1715C2#546×D5911yescharacteristic
1716C2#2143758011yescharacteristic
1717C2#2143765511yescharacteristic
1718C2#2143769911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2457C2
prime radical#21427445C2
hypercenter#2457D59
hypocenterC59#34700
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2457

Complements

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

NH ≅ G/Ntype
1. C2×#16837929C2semidirect
2. C2×C4×D4×D59C2semidirect
3. #21428348C2semidirect
4. #21428340C2semidirect
5. #21428164C2semidirect
6. #21428156C2semidirect
7. #21428003C2semidirect
8. #21427967C2semidirect
9. #21427882C2semidirect
10. #21427813C2semidirect
11. #21427742C2semidirect
12. #21427670C2semidirect
13. #21427585C2semidirect
14. #21427557C2semidirect
15. #21427555C2semidirect
16. #21427540C2semidirect
18. #21427362C2semidirect
19. #21427352C2semidirect
20. #21427341C2semidirect
21. #21427331C2semidirect
22. #21426637C2semidirect
23. #21426630C2semidirect
24. #21426606C2semidirect
25. #21426601C2semidirect
26. #21426601C2semidirect
27. #21426556C2semidirect
28. #21426478C2semidirect
29. #21426476C2semidirect
30. C4×(C22⋊D59)⋊C4C2semidirect
31. C59×#2457C2semidirect
36. C2×#14273722C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273717C22semidirect
41. C2×#14273710C22semidirect
43. C2×#14273704C22semidirect
48. C2×#14273692C22semidirect
51. C2×D4×Dic59C22semidirect
52. C2×D4×Dic59C22semidirect
61. C2×(C22⋊D59)⋊C4C22semidirect
62. C2×(C22⋊D59)⋊C4C22semidirect
64. C2×#14273685C22semidirect
65. C2×#14273685C22semidirect
66. C2×#14273683C22semidirect
67. C2×#14273683C22semidirect
71. C22×C4×Dic59C22semidirect
73. #16837344C22semidirect
74. #16837338C22semidirect
75. #16837337C22semidirect
76. #16837335C22semidirect
77. #16837335C22semidirect
78. #16837334C22semidirect
79. #16837332C22semidirect
80. #16837331C22semidirect
81. #16837331C22semidirect
82. #16837331C22semidirect
83. #16837330C22semidirect
84. #16837330C22semidirect
85. #16837329C22semidirect
86. #16837327C22semidirect
87. #16837327C22semidirect
88. #16837325C22semidirect
89. #16837325C22semidirect
90. #16837324C22semidirect
94. #16837318C22semidirect
95. #16837318C22semidirect
98. #16837316C22semidirect
99. #16837316C22semidirect
101. #16837306C22semidirect
102. #16837306C22semidirect
107. #16837299C22semidirect
108. #16837299C22semidirect
109. #16837299C22semidirect
110. #16837297C22semidirect
111. #16837296C22semidirect
112. #16837295C22semidirect
113. #16837294C22semidirect
114. #16837293C22semidirect
115. #16837293C22semidirect
116. #16837292C22semidirect
117. #16837291C22semidirect
118. #16837290C22semidirect
119. #16837286C22semidirect
120. #16837281C22semidirect
123. #16837278C22semidirect
124. #16837278C22semidirect
128. #16837276C22semidirect
129. #16837276C22semidirect
130. #16837275C22semidirect
131. #16837275C22semidirect
133. #16837266C22semidirect
134. #16837265C22semidirect
135. #16837264C22semidirect
136. #16837264C22semidirect
137. #16837262C22semidirect
141. #16837261C22semidirect
142. #16837261C22semidirect
143. #16837260C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4×Dic59⋊C4C22semidirect
154. #16837253C22semidirect
155. #16837253C22semidirect
156. #16837253C22semidirect
157. #16837253C22semidirect
158. C22⋊C4×Dic59C22semidirect
159. C22⋊C4×Dic59C22semidirect
160. C22⋊C4×Dic59C22semidirect
161. C22⋊C4×Dic59C22semidirect
162. C22⋊C4×Dic59C22semidirect
163. C22⋊C4×Dic59C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. #16837249C22semidirect
173. C42×Dic59C22semidirect
174. C2×#123×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#396C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
182. C59×#387C22semidirect
183. C59×#386C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
186. C59×#381C22semidirect
187. C59×#380C22semidirect
188. C4×C22⋊C4×C59C22semidirect
246. (C22⋊D59)⋊C4D4semidirect
821. C2×D59#529semidirect
854. #2457D59semidirect
901. C2×#123C2×D59semidirect
935. #400C2×D59semidirect
953. #396C2×D59semidirect
984. #388C2×D59semidirect
985. #388C2×D59semidirect
987. #387C2×D59semidirect
993. #386C2×D59semidirect
994. #386C2×D59semidirect
995. #386C2×D59semidirect
1008. #381C2×D59semidirect
1018. #380C2×D59semidirect
1046. C4×C22⋊C4C2×D59semidirect
1048. C59#34700semidirect

Maximal subgroups

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

subgroupindex
C2×#168379292
C2×C4×D4×D592
#214283482
#214283402
#214281642
#214281562
#214280032
#214279672
#214278822
#214278132
#214277422
#214276702
#214275852
#214275572
#214275552
#214275402
#214274452
#214273622
#214273522
#214273412
#214273312
#214266372
#214266302
#214266062
#214266012
#214265562
#214264782
#214264762
C4×(C22⋊D59)⋊C42
C59×#24572
#3470059