Finite Group Databasebeta

← #28754040

Subgroups — #28754040

Order 15104.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838041C211yesmaximal, characteristic
2#21427261C211yesmaximal, characteristic, complemented
3#21427254C211yesmaximal, characteristic, complemented
4#21427246C211yesmaximal, characteristic, complemented
5#21427234C211yesmaximal, characteristic, complemented
6#21427204C211yesmaximal, characteristic, complemented
7#21427147C211yesmaximal, characteristic, complemented
8#21427138C211yesmaximal, characteristic, complemented
9#21427081C211yesmaximal, characteristic, complemented
10#21427076C211yesmaximal, characteristic, complemented
11#21427033C211yesmaximal, characteristic, complemented
12#21427030C211yesmaximal, characteristic, complemented
13#21426939C211yesmaximal, characteristic, complemented
14#21426938C211yesmaximal, characteristic, complemented
15#21426922C211yesmaximal, characteristic, complemented
16#21426917C211yesmaximal, characteristic, complemented
17#21426907C211yesmaximal, characteristic, complemented
18#21426887C211yesmaximal, characteristic, complemented
19#21426850C211yesmaximal, characteristic, complemented
20#21426797C211yesmaximal, characteristic, complemented
21#21426769C211yesmaximal, characteristic, complemented
22#21426755C211yesmaximal, characteristic, complemented
23#21426752C211yesmaximal, characteristic, complemented
24#21426737C211yesmaximal, characteristic, complemented
25#21426691C211yesmaximal, characteristic, complemented
26#21426686C211yesmaximal, characteristic, complemented
27#21426670C211yesmaximal, characteristic, complemented
28#21426608C211yesmaximal, characteristic, complemented
29#21426542C211yesmaximal, characteristic, complemented
30#388×D59C211yesmaximal, characteristic, complemented
31C59×#2333C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34#16838041C4116yescomplemented
35C2×#14273713C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273708C2211yescharacteristic
38C2×#14273705C2211yescharacteristic
39C2×#14273700C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273695C2211yescharacteristic
42C2×#14273695C2211yescharacteristic
43C2×C4×D236C2211yescharacteristic
44C2×D4×Dic59C2211yescharacteristic, complemented
45C2×#14273689C2211yescharacteristic
46C2×C4×C22⋊D59C2211yescharacteristic
47C2×C4×C22⋊D59C2211yescharacteristic, complemented
48C2×(C22⋊D59)⋊C4C2211yescharacteristic
49C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
50C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
51C2×#14273686C2211yescharacteristic, complemented
52C2×#14273684C2211yescharacteristic, complemented
53C2×C4⋊C4×D59C2211yescharacteristic, complemented
54C22×(C2×D59)⋊C4C2211yescharacteristic
55C22×(C2×D59)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D59C2211yescharacteristic
57C2×C22⋊C4×D59C2211yescharacteristic
58C2×C22⋊C4×D59C2211yescharacteristic
59C2×C22⋊C4×D59C2211yescharacteristic
60C2×C42×D59C2211yescharacteristic, complemented
61#16837308C2211yescharacteristic, complemented
62#16837307C2211yescharacteristic, complemented
63#16837306C2211yescharacteristic, complemented
64#16837306C2211yescharacteristic, complemented
65#16837305C2211yescharacteristic
66#16837305C2211yescharacteristic, complemented
67#16837305C2211yescharacteristic, complemented
68#16837302C2211yescharacteristic
69#16837302C2211yescharacteristic
70#16837302C2211yescharacteristic, complemented
71#16837301C2211yescharacteristic, complemented
72#16837299C2211yescharacteristic, complemented
73#16837297C2211yescharacteristic, complemented
74#16837297C2211yescharacteristic, complemented
75#16837296C2211yescharacteristic, complemented
76#16837296C2211yescharacteristic, complemented
77#16837296C2211yescharacteristic, complemented
78#16837296C2211yescharacteristic, complemented
79#16837296C2211yescharacteristic, complemented
80#16837295C2211yescharacteristic, complemented
81#16837295C2211yescharacteristic, complemented
82#16837294C2211yescharacteristic
83#16837294C2211yescharacteristic
84#16837294C2211yescharacteristic
85#16837294C2211yescharacteristic, complemented
86#16837293C2211yescharacteristic
87#16837293C2211yescharacteristic
88#16837293C2211yescharacteristic
89#16837293C2211yescharacteristic, complemented
90#16837293C2211yescharacteristic, complemented
91#16837292C2211yescharacteristic
92#16837291C2211yescharacteristic
93#16837291C2211yescharacteristic
94#16837291C2211yescharacteristic
95#16837291C2211yescharacteristic
96#16837291C2211yescharacteristic
97#16837291C2211yescharacteristic, complemented
98#16837291C2211yescharacteristic, complemented
99#16837291C2211yescharacteristic, complemented
100#16837290C2211yescharacteristic, complemented
101#16837290C2211yescharacteristic, complemented
102#16837290C2211yescharacteristic, complemented
103#16837289C2211yescharacteristic, complemented
104#16837289C2211yescharacteristic, complemented
105#16837289C2211yescharacteristic, complemented
106#16837286C2211yescharacteristic, complemented
107#16837286C2211yescharacteristic, complemented
108#16837284C2211yescharacteristic, complemented
109#16837284C2211yescharacteristic, complemented
110#16837284C2211yescharacteristic, complemented
111#16837282C2211yescharacteristic
112#16837282C2211yescharacteristic, complemented
113#16837281C2211yescharacteristic
114#16837281C2211yescharacteristic
115#16837281C2211yescharacteristic, complemented
116#16837280C2211yescharacteristic
117#16837280C2211yescharacteristic
118#16837279C2211yescharacteristic
119#16837279C2211yescharacteristic
120#16837278C2211yescharacteristic
121#16837278C2211yescharacteristic
122#16837278C2211yescharacteristic
123#16837278C2211yescharacteristic
124#16837278C2211yescharacteristic
125#16837278C2211yescharacteristic
126#16837278C2211yescharacteristic, complemented
127#16837278C2211yescharacteristic, complemented
128#16837278C2211yescharacteristic, complemented
129#16837276C2211yescharacteristic, complemented
130#16837276C2211yescharacteristic, complemented
131#16837276C2211yescharacteristic, complemented
132#16837276C2211yescharacteristic, complemented
133#16837275C2211yescharacteristic, complemented
134#16837274C2211yescharacteristic, complemented
135#16837274C2211yescharacteristic, complemented
136#16837273C2211yescharacteristic, complemented
137#16837269C2211yescharacteristic, complemented
138#16837264C2211yescharacteristic
139#16837264C2211yescharacteristic
140#16837264C2211yescharacteristic, complemented
141#16837263C2211yescharacteristic, complemented
142#16837261C2211yescharacteristic, complemented
143#16837260C2211yescharacteristic, complemented
144#16837260C2211yescharacteristic, complemented
145#16837260C2211yescharacteristic, complemented
146#16837260C2211yescharacteristic, complemented
147#16837260C2211yescharacteristic, complemented
148#16837259C2211yescharacteristic
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151#16837257C2211yescharacteristic
152#16837257C2211yescharacteristic
153C4⋊C4×Dic59C2211yescharacteristic, complemented
154C4×Dic59⋊C4C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic, complemented
159C4×(C2×D59)⋊C4C2211yescharacteristic
160C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162C4×C22⋊Dic59C2211yescharacteristic, complemented
163C4×C22⋊Dic59C2211yescharacteristic, complemented
164#16837249C2211yescharacteristic, complemented
165#16837249C2211yescharacteristic, complemented
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837248C2211yescharacteristic, complemented
169#16837247C2211yescharacteristic, complemented
170C2×C59⋊#95C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173C2×#121×C59C2211yescharacteristic
174C59×#390C2211yescharacteristic
175C59×#390C2211yescharacteristic, complemented
176C59×#388C2211yescharacteristic, complemented
177C59×#388C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#387C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic, complemented
184C59×#381C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C24×D59C2311yescharacteristic
189C24×D59C2311yescharacteristic
190C2×#11745687—42no—
191C2×#11745687—42no—
192C2×#11745687C2×C418yescomplemented
193C22×Dic118C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C2×D4×D59—42no—
201C2×D4×D59—42no—
202C2×D4×D59C2×C418yescomplemented
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216#14273713C2×C418yescomplemented
217#14273712C2×C418yescomplemented
218#14273708C2×C418yescomplemented
219#14273705C2×C418yescomplemented
220#14273700C2×C418yescomplemented
221#14273699C2×C418yescomplemented
222#14273695C2×C418yescomplemented
223#14273695C2×C418yescomplemented
224C4×D236—42no—
225D4×Dic59—42no—
226#14273689—42no—
227C4×C22⋊D59—42no—
228C4×C22⋊D59C2×C418yescomplemented
229(C22⋊D59)⋊C4—42no—
230(C22⋊D59)⋊C4—42no—
231(C22⋊D59)⋊C4C2×C418yescomplemented
232#14273686—42no—
233#14273684—42no—
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C4⋊C4×D59—42no—
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×(C2×D59)⋊C4—42no—
266C2×(C2×D59)⋊C4C2×C418yescomplemented
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C22⋊C4×D59—42no—
293C22⋊C4×D59—42no—
294C22⋊C4×D59—42no—
295C22⋊C4×D59C2×C418yescomplemented
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C42×D59—42no—
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C22×D4×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C22×D4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346#121×C59C2×C418yescomplemented
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365C2×C42×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59—41no—
386C23×D59—41no—
387C23×D59—41no—
388C23×D59—41no—
389C23×D59—41no—
390C23×D59—41no—
391C23×D59C22×C414yes—
392C23×D59C22×C414yes—
393C23×D59C2411yescharacteristic
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59C22×C414yes—
403C2×D4×C59C22×C414yes—
404C2×D4×C59C22×C414yes—
405C22×C4×C59—41no—
406C22×C4×C59—41no—
407C22×C4×C59—41no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59C22×C414yes—
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59C22×C414yes—
437C2×C22⋊D59C22×C414yes—
438C2×C22⋊D59C22×C414yes—
439C2×C22⋊D59C22×C414yes—
440C2×C22⋊D59C22×C414yes—
441C22×Dic59—22no—
442C22×Dic59—41no—
443C22×Dic59—41no—
444C22×Dic59—41no—
445C22×Dic59—41no—
446C22×Dic59—41no—
447C22×Dic59—41no—
448C22×Dic59—41no—
449C22×Dic59—41no—
450C22×Dic59—41no—
451C22×Dic59C22×C414yes—
452C22×Dic59C22×C414yes—
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466#11745687—416no—
467D4×D59—416no—
468C2×D236—22no—
469C2×D236—22no—
470C2×D236C22×C414yes—
471C2×C4×D59—22no—
472C2×C4×D59—22no—
473C2×C4×D59—22no—
474C2×C4×D59—22no—
475C2×C4×D59—22no—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59—41no—
494C2×C4×D59—41no—
495C2×C4×D59C22×C414yes—
496C2×C4×D59C22×C414yes—
497C2×C4×D59C22×C414yes—
498C2×Dic118—41no—
499C2×Dic118—41no—
500C2×Dic118C22×C414yes—
501C4⋊C4×C59—41no—
502C4⋊C4×C59—41no—
503C4⋊C4×C59C22×C414yes—
504C22⋊C4×C59—41no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59C22×C414yes—
515C22⋊C4×C59C22×C414yes—
516C42×C59—41no—
517C42×C59—41no—
518C42×C59—41no—
519C42×C59—41no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—41no—
523C22⋊Dic59—41no—
524C22⋊Dic59—41no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529C22⋊Dic59—41no—
530C22⋊Dic59C22×C414yes—
531C22⋊Dic59C22×C414yes—
532C22⋊Dic59C22×C414yes—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4C22×C414yes—
552(C2×D59)⋊C4C22×C414yes—
553(C2×D59)⋊C4C22×C414yes—
554(C2×D59)⋊C4C22×C414yes—
555(C2×D59)⋊C4C22×C414yes—
556(C2×D59)⋊C4C22×C414yes—
557(C2×D59)⋊C4C22×C414yes—
558C4⋊Dic59—22no—
559C4⋊Dic59—41no—
560C4⋊Dic59—41no—
561C4⋊Dic59—41no—
562Dic59⋊C4—41no—
563Dic59⋊C4—41no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572Dic59⋊C4C22×C414yes—
573Dic59⋊C4C22×C414yes—
574Dic59⋊C4C22×C414yes—
575C4×Dic59—22no—
576C4×Dic59—22no—
577C4×Dic59—41no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
582C4×Dic59—41no—
583C4×Dic59—41no—
584C4×Dic59—41no—
585C4×Dic59—41no—
586C4×Dic59—41no—
587C4×Dic59C22×C414yes—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59C23×C412yes—
607C23×C59C23×C412yes—
608C23×C59C23×C412yes—
609C23×C59C2511yescharacteristic
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—28no—
627C22×D59—44no—
628C22×D59—44no—
629C22×D59—44no—
630C22×D59—44no—
631C22×D59—44no—
632C22×D59—82no—
633C22×D59—82no—
634C22×D59—82no—
635C22×D59—82no—
636C22×D59—82no—
637C22×D59—82no—
638C22×D59—82no—
639C22×D59—82no—
640C22×D59C23×C412yes—
641C22×D59C23×C412yes—
642C22×D59C23×C412yes—
643C22×D59H(5,𝔽2)12yes—
644C22×D59H(5,𝔽2)12yes—
645D4×C59—44no—
646D4×C59—44no—
647D4×C59—44no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
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—44no—
681C2×C4×C59—82no—
682C2×C4×C59—82no—
683C2×C4×C59C23×C412yes—
684C2×C4×C59C23×C412yes—
685C2×C4×C59C23×C412yes—
686C2×C4×C59C23×C412yes—
687C22⋊D59—28no—
688C22⋊D59—28no—
689C22⋊D59—44no—
690C22⋊D59—44no—
691C22⋊D59—44no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
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—44no—
726C2×Dic59—44no—
727C2×Dic59—82no—
728C2×Dic59—82no—
729C2×Dic59C23×C412yes—
730C2×Dic59C23×C412yes—
731C2×Dic59C23×C412yes—
732C2×Dic59C23×C412yes—
733C2×Dic59C23×C412yes—
734C2×Dic59H(5,𝔽2)12yes—
735D236—28no—
736C4×D59—28no—
737C4×D59—44no—
738C4×D59—44no—
739C4×D59—44no—
740C4×D59—44no—
741C4×D59—82no—
742C4×D59—82no—
743C4×D59—82no—
744C4×D59—82no—
745Dic118—44no—
746#34492—591nomaximal, Sylow
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—22no—
754C22×C59—22no—
755C22×C59—22no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59C24×C411yescharacteristic
769C22×C59C2×H(5,𝔽2)11yescharacteristic
770C22×C59C2×H(5,𝔽2)11yescharacteristic
771C22×C59C2×H(5,𝔽2)11yescharacteristic
772C22×C59#58511yescharacteristic
773C22×C59#58511yescharacteristic
774C22×C59#58511yescharacteristic
775C2×D59—22no—
776C2×D59—22no—
777C2×D59—22no—
778C2×D59—22no—
779C2×D59—22no—
780C2×D59—22no—
781C2×D59—22no—
782C2×D59—22no—
783C2×D59—22no—
784C2×D59—22no—
785C2×D59—22no—
786C2×D59—22no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—88no—
796C2×D59—88no—
797C2×D59#51814yes—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—22no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—22no—
814Dic59—22no—
815Dic59—22no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823C2×#546—591no—
824#2378—591no—
825#2377—591no—
826#2376—591no—
827#2375—591no—
828#2372—591no—
829#2364—591no—
830#2363—591no—
831#2359—591no—
832#2358—591no—
833#2353—591no—
834#2353—591no—
835#2342—591no—
836#2342—591no—
837#2339—591no—
838D4×C22⋊C4—591no—
839#2337—591no—
840#2335—591no—
841#2333D5911yescharacteristic, complemented
842#2332—591no—
843#2325—591no—
844#2322—591no—
845#2321—591no—
846#2321—591no—
847#2319—591no—
848#2312—591no—
849#2311—591no—
850#2308—591no—
851C4×#121—591no—
852#2290—591no—
853C2×#388—591no—
854C2×C59—42no—
855C2×C59—42no—
856C2×C59—42no—
857C2×C59C2×#51811yescharacteristic
858C2×C59#342811yescharacteristic
859C2×C59C4×H(5,𝔽2)11yescharacteristic
860C2×C59#353411yescharacteristic
861C2×C59#354211yescharacteristic
862C2×C59#354511yescharacteristic
863C2×C59#356011yescharacteristic
864D59—24no—
865D59—42no—
866D59—42no—
867C22×#41—591no—
868C23×D4—591no—
869#546—5916no—
870C2×#124—591no—
871C2×#123—591no—
872C2×#123—591no—
873C2×C22⋊Q8—591no—
874C2×#121—591no—
875C2×#121—591no—
876C2×#121C2×D5911yescharacteristic
877C2×#120—591no—
878C2×#120—591no—
879C2×C4×D4—591no—
880C2×C4×D4—591no—
881C2×C4×D4—591no—
882C2×C4×D4—591no—
883C2×C4×D4—591no—
884C2×C4×D4—591no—
885C2×C4×D4—591no—
886C2×C4×D4—591no—
887C2×#117—591no—
888C2×#117—591no—
889C22×C4⋊C4—591no—
890C22×C22⋊C4—591no—
891C22×C22⋊C4—591no—
892C22×C22⋊C4—591no—
893C22×C22⋊C4—591no—
894C22×C22⋊C4—591no—
895C22×C22⋊C4—591no—
896C22×C42—591no—
897#391—591no—
898#391—591no—
899#391—591no—
900#391—591no—
901#390—591no—
902#390—591no—
903#390—591no—
904#390—591no—
905#390—591no—
906#390—591no—
907#390C2×D5911yescharacteristic
908#390C2×D5911yescharacteristic, complemented
909#389—591no—
910#389—591no—
911#389—591no—
912#389—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#388—591no—
935#388—591no—
936#388—591no—
937#388—591no—
938#388—591no—
939#388—591no—
940#388—591no—
941#388C2×D5911yescharacteristic, complemented
942#388C2×D5911yescharacteristic, complemented
943#387—591no—
944#387—591no—
945#387—591no—
946#387—591no—
947#387—591no—
948#387—591no—
949#387—591no—
950#387—591no—
951#387C2×D5911yescharacteristic, complemented
952#387C2×D5911yescharacteristic, complemented
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386—591no—
959#386—591no—
960#386—591no—
961#386—591no—
962#386—591no—
963#386—591no—
964#386—591no—
965#386—591no—
966#386—591no—
967#386—591no—
968#386—591no—
969#386—591no—
970#386—591no—
971#386C2×D5911yescharacteristic
972#386C2×D5911yescharacteristic, complemented
973#386C2×D5911yescharacteristic, complemented
974#386C2×D5911yescharacteristic, complemented
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385—591no—
980#385—591no—
981#385—591no—
982#385—591no—
983#383—591no—
984#381—591no—
985#381—591no—
986#381—591no—
987#381—591no—
988#381C2×D5911yescharacteristic, complemented
989#380—591no—
990#380—591no—
991#380—591no—
992#380—591no—
993#380—591no—
994#380—591no—
995#380—591no—
996#379—591no—
997#379—591no—
998#379—591no—
999#379—591no—
1000C4×C4⋊C4—591no—
1001C4×C4⋊C4—591no—
1002C4×C4⋊C4—591no—
1003C4×C22⋊C4—591no—
1004C4×C22⋊C4—591no—
1005C4×C22⋊C4—591no—
1006C4×C22⋊C4—591no—
1007C4×C22⋊C4—591no—
1008C4×C22⋊C4—591no—
1009C4×C22⋊C4—591no—
1010C4×C22⋊C4—591no—
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4—591no—
1014C4×C22⋊C4—591no—
1015C4×C22⋊C4C2×D5911yescharacteristic, complemented
1016C4×C22⋊C4C2×D5911yescharacteristic, complemented
1017C4×C22⋊C4C2×D5911yescharacteristic, complemented
1018#376—591no—
1019#376—591no—
1020C2×#95—591no—
1021C2×#95—591no—
1022C2×#95—591no—
1023C59#3449211yescharacteristic, complemented, Sylow
1024C25—591no—
1025C25—591no—
1026C2×#41—598no—
1027C2×#41—2362no—
1028C2×#41—2362no—
1029C22×Q8—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—598no—
1036C22×D4—591no—
1037C22×D4—2362no—
1038C22×D4—2362no—
1039C22×D4C22×D5911yescharacteristic
1040C22×D4C22×D5911yescharacteristic
1041C22×D4C22×D5911yescharacteristic
1042C23×C4—591no—
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4—591no—
1046C23×C4—591no—
1047C23×C4—591no—
1048C23×C4—591no—
1049C23×C4—591no—
1050C23×C4—591no—
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4—591no—
1054C23×C4—591no—
1055C23×C4C22×D5911yescharacteristic
1056C23×C4C22×D5911yescharacteristic
1057C23×C4C22×D5911yescharacteristic
1058#124—598no—
1059#123—598no—
1060#123—598no—
1061C22⋊Q8—598no—
1062#121—598no—
1063#121—598no—
1064#121C4×D5918yescomplemented
1065#120—598no—
1066#120—598no—
1067C4×D4—598no—
1068C4×D4—598no—
1069C4×D4—2362no—
1070C4×D4—2362no—
1071C4×D4—2362no—
1072C4×D4—2362no—
1073C4×D4—2362no—
1074C4×D4—2362no—
1075#117—2362no—
1076#117—2362no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—2362no—
1095C2×C4⋊C4C22×D5911yescharacteristic
1096C2×C4⋊C4C22×D5911yescharacteristic
1097C2×C4⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—598no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—598no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—2362no—
1139C2×C22⋊C4—2362no—
1140C2×C22⋊C4—2362no—
1141C2×C22⋊C4—2362no—
1142C2×C22⋊C4C22×D5911yescharacteristic
1143C2×C22⋊C4C22×D5911yescharacteristic
1144C2×C22⋊C4C22×D5911yescharacteristic
1145C2×C22⋊C4C22×D5911yescharacteristic
1146C2×C22⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4C22×D5911yescharacteristic
1149C2×C22⋊C4C22×D5911yescharacteristic
1150C2×C22⋊C4C22×D5911yescharacteristic
1151C2×C22⋊C4C22×D5911yescharacteristic
1152C2×C22⋊C4C22×D5911yescharacteristic
1153C2×C22⋊C4C22×D5911yescharacteristic
1154C2×C42—591no—
1155C2×C42—591no—
1156C2×C42—591no—
1157C2×C42—591no—
1158C2×C42—591no—
1159C2×C42—591no—
1160C2×C42—591no—
1161C2×C42—591no—
1162C2×C42—591no—
1163C2×C42—591no—
1164C2×C42—591no—
1165C2×C42—591no—
1166C2×C42—591no—
1167C2×C42—2362no—
1168C2×C42C22×D5911yescharacteristic
1169C2×C42C22×D5911yescharacteristic
1170C2×C42C22×D5911yescharacteristic
1171C2×C42C22×D5911yescharacteristic
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95C22×D5911yescharacteristic
1203#95C22×D5911yescharacteristic
1204#95C22×D5911yescharacteristic
1205#95C22×D5911yescharacteristic
1206#95C22×D5911yescharacteristic
1207#95C22×D5911yescharacteristic
1208#95C22×D5911yescharacteristic
1209#95C22×D5911yescharacteristic
1210#95C22×D5911yescharacteristic
1211#95C22×D5911yescharacteristic
1212C24—591no—
1213C24—591no—
1214C24—591no—
1215C24—594no—
1216C24—594no—
1217C24—1182no—
1218C24—1182no—
1219C24—2361no—
1220C24—2361no—
1221C24—2361no—
1222C24—2361no—
1223C24—2361no—
1224C24—2361no—
1225C24—2361no—
1226C24—2361no—
1227C24—2361no—
1228C24—2361no—
1229C24C23×D5911yescharacteristic
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232#41—23616no—
1233C2×Q8—594no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—594no—
1243C2×D4—594no—
1244C2×D4—594no—
1245C2×D4—594no—
1246C2×D4—594no—
1247C2×D4—594no—
1248C2×D4—1182no—
1249C2×D4—1182no—
1250C2×D4—1182no—
1251C2×D4—1182no—
1252C2×D4—1182no—
1253C2×D4—1182no—
1254C2×D4—2361no—
1255C2×D4—2361no—
1256C2×D4—2361no—
1257C2×D4—2361no—
1258C2×D4—2361no—
1259C2×D4—2361no—
1260C2×D4—23616no—
1261C2×D4C2×C4×D5914yes—
1262C2×D4C2×C4×D5914yes—
1263C2×D4C2×C4×D5914yes—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—591no—
1273C22×C4—591no—
1274C22×C4—591no—
1275C22×C4—591no—
1276C22×C4—591no—
1277C22×C4—591no—
1278C22×C4—594no—
1279C22×C4—594no—
1280C22×C4—594no—
1281C22×C4—594no—
1282C22×C4—594no—
1283C22×C4—591no—
1284C22×C4—591no—
1285C22×C4—591no—
1286C22×C4—591no—
1287C22×C4—591no—
1288C22×C4—591no—
1289C22×C4—591no—
1290C22×C4—1182no—
1291C22×C4—1182no—
1292C22×C4—1182no—
1293C22×C4—1182no—
1294C22×C4—1182no—
1295C22×C4—1182no—
1296C22×C4—1182no—
1297C22×C4—1182no—
1298C22×C4—1182no—
1299C22×C4—2361no—
1300C22×C4—2361no—
1301C22×C4—2361no—
1302C22×C4—2361no—
1303C22×C4—2361no—
1304C22×C4—2361no—
1305C22×C4—2361no—
1306C22×C4—2361no—
1307C22×C4—2361no—
1308C22×C4—2361no—
1309C22×C4—2361no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4—2361no—
1321C22×C4—2361no—
1322C22×C4—2361no—
1323C22×C4—2361no—
1324C22×C4C2×C4×D5914yes—
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C22×C4C23×D5911yescharacteristic
1333C22×C4C23×D5911yescharacteristic
1334C22×C4C23×D5911yescharacteristic
1335C22×C4C23×D5911yescharacteristic
1336C22×C4C23×D5911yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—594no—
1340C4⋊C4—594no—
1341C4⋊C4—594no—
1342C4⋊C4—1182no—
1343C4⋊C4—2361no—
1344C4⋊C4—2361no—
1345C4⋊C4—2361no—
1346C4⋊C4—2361no—
1347C4⋊C4—2361no—
1348C4⋊C4—2361no—
1349C4⋊C4—2361no—
1350C4⋊C4—2361no—
1351C4⋊C4—2361no—
1352C4⋊C4—2361no—
1353C4⋊C4—2361no—
1354C4⋊C4—2361no—
1355C4⋊C4—2361no—
1356C4⋊C4C2×C4×D5914yes—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—594no—
1368C22⋊C4—594no—
1369C22⋊C4—594no—
1370C22⋊C4—594no—
1371C22⋊C4—594no—
1372C22⋊C4—594no—
1373C22⋊C4—594no—
1374C22⋊C4—594no—
1375C22⋊C4—594no—
1376C22⋊C4—594no—
1377C22⋊C4—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—1182no—
1381C22⋊C4—1182no—
1382C22⋊C4—1182no—
1383C22⋊C4—1182no—
1384C22⋊C4—2361no—
1385C22⋊C4—2361no—
1386C22⋊C4—2361no—
1387C22⋊C4—2361no—
1388C22⋊C4—2361no—
1389C22⋊C4—2361no—
1390C22⋊C4—2361no—
1391C22⋊C4—2361no—
1392C22⋊C4—2361no—
1393C22⋊C4—2361no—
1394C22⋊C4—2361no—
1395C22⋊C4—2361no—
1396C22⋊C4—2361no—
1397C22⋊C4—2361no—
1398C22⋊C4—2361no—
1399C22⋊C4—2361no—
1400C22⋊C4—2361no—
1401C22⋊C4—2361no—
1402C22⋊C4—2361no—
1403C22⋊C4—2361no—
1404C22⋊C4—2361no—
1405C22⋊C4C2×C4×D5914yes—
1406C22⋊C4C2×C4×D5914yes—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—594no—
1412C42—1182no—
1413C42—1182no—
1414C42—2361no—
1415C42—2361no—
1416C42—2361no—
1417C42—2361no—
1418C42—2361no—
1419C42—2361no—
1420C42—2361no—
1421C42—2361no—
1422C42—2361no—
1423C42—2361no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—592no—
1443C23—592no—
1444C23—592no—
1445C23—592no—
1446C23—592no—
1447C23—1188no—
1448C23—1181no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—4722no—
1465C23—4722no—
1466C23—4722no—
1467C23—4722no—
1468C23—4722no—
1469C23—4722no—
1470C23—4722no—
1471C23—4722no—
1472C23—2364no—
1473C23—2364no—
1474C23—2364no—
1475C23—2364no—
1476C23—2364no—
1477C23C22×C4×D5912yes—
1478C23C22×C4×D5912yes—
1479C23C22×C4×D5912yes—
1480C23C24×D5911yescharacteristic
1481Q8—2364no—
1482D4—44no—
1483D4—44no—
1484D4—44no—
1485D4—1188no—
1486D4—1188no—
1487D4—1188no—
1488D4—2364no—
1489D4—2364no—
1490D4—2364no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—44no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4—592no—
1527C2×C4—592no—
1528C2×C4—592no—
1529C2×C4—592no—
1530C2×C4—592no—
1531C2×C4—592no—
1532C2×C4—1188no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—4722no—
1567C2×C4—4722no—
1568C2×C4—4722no—
1569C2×C4—4722no—
1570C2×C4—4722no—
1571C2×C4—4722no—
1572C2×C4—2364no—
1573C2×C4—2364no—
1574C2×C4—2364no—
1575C2×C4—2364no—
1576C2×C4—2364no—
1577C2×C4—2364no—
1578C2×C4C22×C4×D5912yes—
1579C2×C4C22×C4×D5912yes—
1580C2×C4C22×C4×D5912yes—
1581C2×C4C22×C4×D5912yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—594no—
1604C22—1182no—
1605C22—1182no—
1606C22—1182no—
1607C22—1182no—
1608C22—1182no—
1609C22—1182no—
1610C22—1182no—
1611C22—1182no—
1612C22—1182no—
1613C22—1182no—
1614C22—1182no—
1615C22—1182no—
1616C22—4728no—
1617C22—4728no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22C23×C4×D5911yescharacteristic
1627C22H(5,𝔽2)×D5911yescharacteristic
1628C22H(5,𝔽2)×D5911yescharacteristic
1629C22H(5,𝔽2)×D5911yescharacteristic
1630C22#1683823711yescharacteristic
1631C22#1683823811yescharacteristic
1632C22#1683823811yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—1182no—
1646C4—1182no—
1647C4—1182no—
1648C4—1182no—
1649C4—1182no—
1650C4—1182no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C4—2361no—
1658C2—42no—
1659C2—42no—
1660C2—42no—
1661C2—1184no—
1662C2—2362no—
1663C2—2362no—
1664C2#518×D5911yescharacteristic
1665C2#2143729511yescharacteristic
1666C2#2143730011yescharacteristic
1667C2#2143827911yescharacteristic
1668C2#2143840311yescharacteristic
1669C2#2143844711yescharacteristic
1670C2#2143864111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2333C2
socle, cosocleC23×C59C25
prime radicalC2×#16838041C2
hypercenter#2333D59
hypocenterC59#34492
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #21427261C2semidirect
3. #21427254C2semidirect
4. #21427246C2semidirect
5. #21427234C2semidirect
6. #21427204C2semidirect
7. #21427147C2semidirect
8. #21427138C2semidirect
9. #21427081C2semidirect
10. #21427076C2semidirect
11. #21427033C2semidirect
12. #21427030C2semidirect
13. #21426939C2semidirect
14. #21426938C2semidirect
15. #21426922C2semidirect
16. #21426917C2semidirect
17. #21426907C2semidirect
18. #21426887C2semidirect
19. #21426850C2semidirect
20. #21426797C2semidirect
21. #21426769C2semidirect
22. #21426755C2semidirect
23. #21426752C2semidirect
24. #21426737C2semidirect
25. #21426691C2semidirect
26. #21426686C2semidirect
27. #21426670C2semidirect
28. #21426608C2semidirect
29. #21426542C2semidirect
30. #388×D59C2semidirect
31. C59×#2333C2semidirect
34. #16838041C4semidirect
44. C2×D4×Dic59C22semidirect
47. C2×C4×C22⋊D59C22semidirect
49. C2×(C22⋊D59)⋊C4C22semidirect
50. C2×(C22⋊D59)⋊C4C22semidirect
51. C2×#14273686C22semidirect
52. C2×#14273684C22semidirect
53. C2×C4⋊C4×D59C22semidirect
60. C2×C42×D59C22semidirect
61. #16837308C22semidirect
62. #16837307C22semidirect
63. #16837306C22semidirect
64. #16837306C22semidirect
66. #16837305C22semidirect
67. #16837305C22semidirect
70. #16837302C22semidirect
71. #16837301C22semidirect
72. #16837299C22semidirect
73. #16837297C22semidirect
74. #16837297C22semidirect
75. #16837296C22semidirect
76. #16837296C22semidirect
77. #16837296C22semidirect
78. #16837296C22semidirect
79. #16837296C22semidirect
80. #16837295C22semidirect
81. #16837295C22semidirect
85. #16837294C22semidirect
89. #16837293C22semidirect
90. #16837293C22semidirect
97. #16837291C22semidirect
98. #16837291C22semidirect
99. #16837291C22semidirect
100. #16837290C22semidirect
101. #16837290C22semidirect
102. #16837290C22semidirect
103. #16837289C22semidirect
104. #16837289C22semidirect
105. #16837289C22semidirect
106. #16837286C22semidirect
107. #16837286C22semidirect
108. #16837284C22semidirect
109. #16837284C22semidirect
110. #16837284C22semidirect
112. #16837282C22semidirect
115. #16837281C22semidirect
126. #16837278C22semidirect
127. #16837278C22semidirect
128. #16837278C22semidirect
129. #16837276C22semidirect
130. #16837276C22semidirect
131. #16837276C22semidirect
132. #16837276C22semidirect
133. #16837275C22semidirect
134. #16837274C22semidirect
135. #16837274C22semidirect
136. #16837273C22semidirect
137. #16837269C22semidirect
140. #16837264C22semidirect
141. #16837263C22semidirect
142. #16837261C22semidirect
143. #16837260C22semidirect
144. #16837260C22semidirect
145. #16837260C22semidirect
146. #16837260C22semidirect
147. #16837260C22semidirect
153. C4⋊C4×Dic59C22semidirect
154. C4×Dic59⋊C4C22semidirect
155. #16837253C22semidirect
156. C22⋊C4×Dic59C22semidirect
157. C22⋊C4×Dic59C22semidirect
158. C22⋊C4×Dic59C22semidirect
160. C4×(C2×D59)⋊C4C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
162. C4×C22⋊Dic59C22semidirect
163. C4×C22⋊Dic59C22semidirect
164. #16837249C22semidirect
165. #16837249C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837248C22semidirect
169. #16837247C22semidirect
170. C2×C59⋊#95C22semidirect
171. #95×D59C22semidirect
172. #95×D59C22semidirect
175. C59×#390C22semidirect
176. C59×#388C22semidirect
177. C59×#388C22semidirect
178. C59×#387C22semidirect
179. C59×#387C22semidirect
181. C59×#386C22semidirect
182. C59×#386C22semidirect
183. C59×#386C22semidirect
184. C59×#381C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
187. C4×C22⋊C4×C59C22semidirect
192. C2×#11745687C2×C4semidirect
202. C2×D4×D59C2×C4semidirect
216. #14273713C2×C4semidirect
217. #14273712C2×C4semidirect
218. #14273708C2×C4semidirect
219. #14273705C2×C4semidirect
220. #14273700C2×C4semidirect
221. #14273699C2×C4semidirect
222. #14273695C2×C4semidirect
223. #14273695C2×C4semidirect
228. C4×C22⋊D59C2×C4semidirect
231. (C22⋊D59)⋊C4C2×C4semidirect
266. C2×(C2×D59)⋊C4C2×C4semidirect
295. C22⋊C4×D59C2×C4semidirect
346. #121×C59C2×C4semidirect
841. #2333D59semidirect
908. #390C2×D59semidirect
941. #388C2×D59semidirect
942. #388C2×D59semidirect
951. #387C2×D59semidirect
952. #387C2×D59semidirect
972. #386C2×D59semidirect
973. #386C2×D59semidirect
974. #386C2×D59semidirect
988. #381C2×D59semidirect
1015. C4×C22⋊C4C2×D59semidirect
1016. C4×C22⋊C4C2×D59semidirect
1017. C4×C22⋊C4C2×D59semidirect
1023. C59#34492semidirect
1064. #121C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168380412
#214272612
#214272542
#214272462
#214272342
#214272042
#214271472
#214271382
#214270812
#214270762
#214270332
#214270302
#214269392
#214269382
#214269222
#214269172
#214269072
#214268872
#214268502
#214267972
#214267692
#214267552
#214267522
#214267372
#214266912
#214266862
#214266702
#214266082
#214265422
#388×D592
C59×#23332
#3449259