Finite Group Databasebeta

← #28752006

Subgroups — #28752006

Order 15104.

2586 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837910C211yesmaximal, characteristic
2#21427244C211yesmaximal, characteristic, complemented
3#21427240C211yesmaximal, characteristic, complemented
4#21427240C211yesmaximal, characteristic, complemented
5#21427115C211yesmaximal, characteristic, complemented
6#21427109C211yesmaximal, characteristic, complemented
7#21427104C211yesmaximal, characteristic, complemented
8#21427098C211yesmaximal, characteristic, complemented
9#21427035C211yesmaximal, characteristic, complemented
10#21427031C211yesmaximal, characteristic, complemented
11#21427005C211yesmaximal, characteristic, complemented
12#21427002C211yesmaximal, characteristic, complemented
13#21426986C211yesmaximal, characteristic, complemented
14#21426978C211yesmaximal, characteristic, complemented
15#21426935C211yesmaximal, characteristic, complemented
16#21426922C211yesmaximal, characteristic, complemented
17#21426788C211yesmaximal, characteristic, complemented
18#21426784C211yesmaximal, characteristic, complemented
19#21426777C211yesmaximal, characteristic, complemented
20#21426773C211yesmaximal, characteristic, complemented
21#21426758C211yesmaximal, characteristic, complemented
22#21426755C211yesmaximal, characteristic, complemented
23#21426752C211yesmaximal, characteristic, complemented
24#21426749C211yesmaximal, characteristic, complemented
25#21426737C211yesmaximal, characteristic, complemented
26#21426735C211yesmaximal, characteristic, complemented
27#21426728C211yesmaximal, characteristic, complemented
28#21426724C211yesmaximal, characteristic, complemented
29#21426478C211yesmaximal, characteristic, complemented
30#380×D59C211yesmaximal, characteristic, complemented
31C59×#2376C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16837910C4116yescomplemented
35C2×#14273710C2211yescharacteristic
36C2×#14273705C2211yescharacteristic
37C2×#14273705C2211yescharacteristic
38C2×#14273700C2211yescharacteristic
39C2×#14273700C2211yescharacteristic
40C2×#14273697C2211yescharacteristic
41C2×#14273695C2211yescharacteristic
42C2×C4×Dic118C2211yescharacteristic, complemented
43C2×#14273692C2211yescharacteristic, complemented
44C2×C4×D236C2211yescharacteristic
45C2×#14273689C2211yescharacteristic
46C2×#14273689C2211yescharacteristic
47C2×#14273689C2211yescharacteristic
48C2×C4×C22⋊D59C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic, complemented
50C2×(C22⋊D59)⋊C4C2211yescharacteristic
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
54C2×#14273685C2211yescharacteristic
55C2×#14273685C2211yescharacteristic
56C2×#14273683C2211yescharacteristic
57C2×C4⋊C4×D59C2211yescharacteristic
58C2×C4⋊C4×D59C2211yescharacteristic
59C2×C22⋊C4×D59C2211yescharacteristic
60C2×C22⋊C4×D59C2211yescharacteristic
61#16837306C2211yescharacteristic, complemented
62#16837306C2211yescharacteristic, complemented
63#16837305C2211yescharacteristic
64#16837304C2211yescharacteristic
65#16837303C2211yescharacteristic
66#16837302C2211yescharacteristic
67#16837302C2211yescharacteristic
68#16837302C2211yescharacteristic
69#16837302C2211yescharacteristic
70#16837302C2211yescharacteristic, complemented
71#16837302C2211yescharacteristic, complemented
72#16837301C2211yescharacteristic, complemented
73#16837301C2211yescharacteristic, complemented
74#16837299C2211yescharacteristic, complemented
75#16837299C2211yescharacteristic, complemented
76#16837299C2211yescharacteristic, complemented
77#16837299C2211yescharacteristic, complemented
78#16837297C2211yescharacteristic, complemented
79#16837297C2211yescharacteristic, complemented
80#16837297C2211yescharacteristic, complemented
81#16837297C2211yescharacteristic, complemented
82#16837296C2211yescharacteristic
83#16837296C2211yescharacteristic
84#16837295C2211yescharacteristic
85#16837295C2211yescharacteristic
86#16837295C2211yescharacteristic, complemented
87#16837295C2211yescharacteristic, complemented
88#16837294C2211yescharacteristic
89#16837294C2211yescharacteristic
90#16837294C2211yescharacteristic, complemented
91#16837294C2211yescharacteristic, complemented
92#16837293C2211yescharacteristic
93#16837293C2211yescharacteristic
94#16837292C2211yescharacteristic
95#16837292C2211yescharacteristic
96#16837292C2211yescharacteristic, complemented
97#16837292C2211yescharacteristic, complemented
98#16837291C2211yescharacteristic
99#16837291C2211yescharacteristic
100#16837290C2211yescharacteristic
101#16837290C2211yescharacteristic
102#16837289C2211yescharacteristic, complemented
103#16837289C2211yescharacteristic, complemented
104#16837288C2211yescharacteristic, complemented
105#16837288C2211yescharacteristic, complemented
106#16837283C2211yescharacteristic, complemented
107#16837283C2211yescharacteristic, complemented
108#16837282C2211yescharacteristic
109#16837281C2211yescharacteristic
110#16837280C2211yescharacteristic
111#16837280C2211yescharacteristic
112#16837280C2211yescharacteristic
113#16837280C2211yescharacteristic
114#16837279C2211yescharacteristic
115#16837278C2211yescharacteristic
116#16837278C2211yescharacteristic
117#16837278C2211yescharacteristic
118#16837278C2211yescharacteristic
119#16837277C2211yescharacteristic, complemented
120#16837277C2211yescharacteristic, complemented
121#16837276C2211yescharacteristic
122#16837276C2211yescharacteristic
123#16837276C2211yescharacteristic, complemented
124#16837276C2211yescharacteristic, complemented
125#16837273C2211yescharacteristic
126#16837273C2211yescharacteristic
127#16837273C2211yescharacteristic, complemented
128#16837273C2211yescharacteristic, complemented
129#16837269C2211yescharacteristic, complemented
130#16837269C2211yescharacteristic, complemented
131#16837267C2211yescharacteristic, complemented
132#16837266C2211yescharacteristic, complemented
133#16837264C2211yescharacteristic
134#16837264C2211yescharacteristic
135#16837264C2211yescharacteristic, complemented
136#16837263C2211yescharacteristic, complemented
137#16837262C2211yescharacteristic
138#16837262C2211yescharacteristic
139#16837261C2211yescharacteristic
140#16837261C2211yescharacteristic
141#16837260C2211yescharacteristic
142#16837260C2211yescharacteristic
143#16837260C2211yescharacteristic, complemented
144#16837259C2211yescharacteristic
145#16837259C2211yescharacteristic
146#16837259C2211yescharacteristic
147#16837259C2211yescharacteristic
148#16837259C2211yescharacteristic, complemented
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151C4⋊C4×Dic59C2211yescharacteristic, complemented
152C4×Dic59⋊C4C2211yescharacteristic, complemented
153C4×Dic59⋊C4C2211yescharacteristic, complemented
154C4×Dic59⋊C4C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156#16837253C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic
158C22⋊C4×Dic59C2211yescharacteristic
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C4×(C2×D59)⋊C4C2211yescharacteristic
161C4×(C2×D59)⋊C4C2211yescharacteristic
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163#16837249C2211yescharacteristic
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837248C2211yescharacteristic, complemented
168#16837247C2211yescharacteristic, complemented
169C2×C59⋊#95C2211yescharacteristic, complemented
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172#95×D59C2211yescharacteristic, complemented
173C2×#123×C59C2211yescharacteristic
174C59×#390C2211yescharacteristic
175C59×#389C2211yescharacteristic, complemented
176C59×#389C2211yescharacteristic, complemented
177C59×#388C2211yescharacteristic
178C59×#388C2211yescharacteristic
179C59×#388C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#387C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic
184C59×#385C2211yescharacteristic, complemented
185C59×#385C2211yescharacteristic, complemented
186C59×#380C2211yescharacteristic
187C59×#380C2211yescharacteristic
188C24×D59C2311yescharacteristic
189C2×#11745687—42no—
190C2×#11745687—42no—
191C2×#11745687C2×C418yescomplemented
192C22×Dic118C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C22×C4×D59—42no—
203C22×C4×D59—42no—
204C22×C4×D59C2×C418yescomplemented
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
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#14273710C2×C418yescomplemented
217#14273705C2×C418yescomplemented
218#14273705C2×C418yescomplemented
219#14273700C2×C418yes—
220#14273700C2×C418yescomplemented
221#14273697C2×C418yescomplemented
222#14273695C2×C418yescomplemented
223C4×Dic118—42no—
224#14273692—42no—
225C4×D236—42no—
226#14273689—42no—
227#14273689C2×C418yescomplemented
228#14273689C2×C418yescomplemented
229C4×C22⋊D59—42no—
230C4×C22⋊D59—42no—
231(C22⋊D59)⋊C4—42no—
232(C22⋊D59)⋊C4—42no—
233(C22⋊D59)⋊C4C2×C418yescomplemented
234(C22⋊D59)⋊C4C2×C418yescomplemented
235#14273685—42no—
236#14273685—42no—
237#14273683C2×C418yescomplemented
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C4⋊C4×D59—42no—
260C4⋊C4×D59—42no—
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
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
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C22⋊C4×D59—42no—
294C22⋊C4×D59—42no—
295C2×C4×Dic59C2311yescharacteristic
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
309C2×C4×Dic59C2311yescharacteristic
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
341C23×C4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343#123×C59C2×C418yescomplemented
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊C4×C59C2311yescharacteristic
352C2×C4⋊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×C22⋊C4×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
378C23×D59—22no—
379C23×D59—22no—
380C23×D59—41no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59C22×C414yes—
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C2×D4×C59—41no—
389C2×D4×C59—41no—
390C2×D4×C59C22×C414yes—
391C22×C4×C59—41no—
392C22×C4×C59—41no—
393C22×C4×C59—41no—
394C22×C4×C59—41no—
395C22×C4×C59—41no—
396C22×C4×C59C22×C414yes—
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—41no—
415C2×C22⋊D59—41no—
416C2×C22⋊D59—41no—
417C2×C22⋊D59—41no—
418C2×C22⋊D59C22×C414yes—
419C2×C22⋊D59C22×C414yes—
420C2×C22⋊D59C22×C414yes—
421C2×C22⋊D59C22×C414yes—
422C22×Dic59—22no—
423C22×Dic59—22no—
424C22×Dic59—41no—
425C22×Dic59—41no—
426C22×Dic59—41no—
427C22×Dic59—41no—
428C22×Dic59—41no—
429C22×Dic59C22×C414yes—
430C22×Dic59C22×C414yes—
431C22×Dic59C2411yescharacteristic
432C22×Dic59C2411yescharacteristic
433C22×Dic59C2411yescharacteristic
434C22×Dic59C2411yescharacteristic
435C22×Dic59C2411yescharacteristic
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444#11745687—416no—
445C2×D236—22no—
446C2×D236—22no—
447C2×D236—41no—
448C2×D236—41no—
449C2×D236C22×C414yes—
450C2×D236C22×C414yes—
451C2×C4×D59—22no—
452C2×C4×D59—22no—
453C2×C4×D59—22no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
456C2×C4×D59—22no—
457C2×C4×D59—22no—
458C2×C4×D59—22no—
459C2×C4×D59—416no—
460C2×C4×D59—41no—
461C2×C4×D59—41no—
462C2×C4×D59—41no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×C4×D59—41no—
466C2×C4×D59—41no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59C22×C414yes—
481C2×C4×D59C22×C414yes—
482C2×C4×D59C22×C414yes—
483C2×C4×D59C22×C414yes—
484C2×C4×D59C22×C414yes—
485C2×Dic118—22no—
486C2×Dic118—22no—
487C2×Dic118C22×C414yes—
488C4⋊C4×C59—41no—
489C4⋊C4×C59—41no—
490C4⋊C4×C59—41no—
491C4⋊C4×C59—41no—
492C4⋊C4×C59—41no—
493C4⋊C4×C59—41no—
494C4⋊C4×C59—41no—
495C4⋊C4×C59C22×C414yes—
496C4⋊C4×C59C22×C414yes—
497C22⋊C4×C59—41no—
498C22⋊C4×C59—41no—
499C22⋊C4×C59—41no—
500C22⋊C4×C59—41no—
501C22⋊C4×C59—41no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59C22×C414yes—
505C22⋊C4×C59C22×C414yes—
506C22⋊C4×C59C22×C414yes—
507C42×C59—41no—
508C42×C59—41no—
509C42×C59—41no—
510C22⋊Dic59—41no—
511C22⋊Dic59—41no—
512C22⋊Dic59—41no—
513C22⋊Dic59—41no—
514C22⋊Dic59—41no—
515C22⋊Dic59—41no—
516C22⋊Dic59—41no—
517C22⋊Dic59C22×C414yes—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—22no—
520(C2×D59)⋊C4—22no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—41no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4C22×C414yes—
537(C2×D59)⋊C4C22×C414yes—
538(C2×D59)⋊C4C22×C414yes—
539(C2×D59)⋊C4C22×C414yes—
540(C2×D59)⋊C4C22×C414yes—
541(C2×D59)⋊C4C22×C414yes—
542C4⋊Dic59—41no—
543C4⋊Dic59—41no—
544C4⋊Dic59—41no—
545C4⋊Dic59—41no—
546C4⋊Dic59—41no—
547C4⋊Dic59—41no—
548C4⋊Dic59—41no—
549Dic59⋊C4—22no—
550Dic59⋊C4—22no—
551Dic59⋊C4—22no—
552Dic59⋊C4—22no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559Dic59⋊C4C22×C414yes—
560Dic59⋊C4C22×C414yes—
561Dic59⋊C4C22×C414yes—
562Dic59⋊C4C22×C414yes—
563C4×Dic59—22no—
564C4×Dic59—22no—
565C4×Dic59—22no—
566C4×Dic59—22no—
567C4×Dic59—41no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C4×Dic59—41no—
573C4×Dic59—41no—
574C4×Dic59—41no—
575C4×Dic59—41no—
576C4×Dic59C22×C414yes—
577C4×Dic59C22×C414yes—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59C23×C412yes—
591C23×C59C23×C412yes—
592C23×C59C2511yescharacteristic
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—28no—
610C22×D59—44no—
611C22×D59—44no—
612C22×D59—44no—
613C22×D59—44no—
614C22×D59—44no—
615C22×D59—44no—
616C22×D59C23×C412yes—
617C22×D59C23×C412yes—
618C22×D59C23×C412yes—
619C22×D59H(5,𝔽2)12yes—
620C22×D592−1+412yes—
621D4×C59—44no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
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—44no—
657C2×C4×C59—82no—
658C2×C4×C59C23×C412yes—
659C2×C4×C59C23×C412yes—
660C2×C4×C59C23×C412yes—
661C2×C4×C59C23×C412yes—
662C2×C4×C59C23×C412yes—
663C22⋊D59—28no—
664C22⋊D59—28no—
665C22⋊D59—44no—
666C22⋊D59—44no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—28no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
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—44no—
701C2×Dic59—82no—
702C2×Dic59C23×C412yes—
703C2×Dic59C23×C412yes—
704C2×Dic59C23×C412yes—
705C2×Dic59C23×C412yes—
706C2×Dic59C23×C412yes—
707C2×Dic59H(5,𝔽2)12yes—
708C2×Dic59H(5,𝔽2)12yes—
709D236—28no—
710D236—44no—
711C4×D59—28no—
712C4×D59—28no—
713C4×D59—44no—
714C4×D59—44no—
715C4×D59—44no—
716C4×D59—82no—
717C4×D59—82no—
718C4×D59—82no—
719C4×D59—82no—
720C4×D59—82no—
721C4×D59—82no—
722Dic118—28no—
723#34404—591nomaximal, Sylow
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59—22no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59C24×C411yescharacteristic
739C22×C59C2×H(5,𝔽2)11yescharacteristic
740C22×C59C2×H(5,𝔽2)11yescharacteristic
741C22×C59C2×H(5,𝔽2)11yescharacteristic
742C22×C59C2×2−1+411yescharacteristic
743C22×C59#58511yescharacteristic
744C22×C59#58511yescharacteristic
745C2×D59—22no—
746C2×D59—22no—
747C2×D59—22no—
748C2×D59—22no—
749C2×D59—22no—
750C2×D59—22no—
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—22no—
757C2×D59—416no—
758C2×D59—41no—
759C2×D59—41no—
760C2×D59—41no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—41no—
764C2×D59—41no—
765C2×D59—41no—
766C2×D59#52014yes—
767C4×C59—22no—
768C4×C59—22no—
769C4×C59—22no—
770C4×C59—22no—
771C4×C59—22no—
772C4×C59—41no—
773C4×C59—41no—
774C4×C59—41no—
775C4×C59—41no—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780Dic59—22no—
781Dic59—22no—
782Dic59—22no—
783Dic59—22no—
784Dic59—41no—
785Dic59—41no—
786Dic59—41no—
787Dic59—41no—
788Dic59—41no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792Dic59#51814yes—
793C2×#525—591no—
794#2376—591no—
795#2376—591no—
796#2376—591no—
797#2376D5911yescharacteristic, complemented
798#2361—591no—
799#2361—591no—
800#2360—591no—
801#2360—591no—
802#2353—591no—
803#2353—591no—
804#2349—591no—
805#2349—591no—
806#2347—591no—
807#2346—591no—
808#2341—591no—
809#2339—591no—
810#2324—591no—
811#2324—591no—
812#2323—591no—
813#2323—591no—
814#2321—591no—
815#2321—591no—
816#2321—591no—
817#2321—591no—
818#2319—591no—
819#2319—591no—
820#2318—591no—
821#2318—591no—
822#2280—591no—
823C2×#380—591no—
824C2×C59—42no—
825C2×C59—42no—
826C2×C59C2×#51811yescharacteristic
827C2×C59C2×#52011yescharacteristic
828C2×C59#342811yescharacteristic
829C2×C59#354111yescharacteristic
830C2×C59#354111yescharacteristic
831C2×C59#354211yescharacteristic
832C2×C59#354211yescharacteristic
833D59—24no—
834D59—42no—
835D59—42no—
836C22×#41—591no—
837C24×C4—591no—
838#525—5916no—
839C2×#123—591no—
840C2×#123C2×D5911yescharacteristic
841C2×C22⋊Q8—591no—
842C2×C22⋊Q8—591no—
843C2×#121—591no—
844C2×#121—591no—
845C2×#120—591no—
846C2×#120—591no—
847C2×C4×Q8—591no—
848C2×C4×Q8—591no—
849C2×C4×D4—591no—
850C2×C4×D4—591no—
851C2×C4×D4—591no—
852C2×C4×D4—591no—
853C2×C4×D4—591no—
854C2×C4×D4—591no—
855C2×C4×D4—591no—
856C2×C4×D4—591no—
857C2×C4×D4—591no—
858C2×C4×D4—591no—
859C2×#117—591no—
860C2×#117—591no—
861C2×#117—591no—
862C22×C4⋊C4—591no—
863C22×C4⋊C4—591no—
864C22×C22⋊C4—591no—
865C22×C22⋊C4—591no—
866#391—591no—
867#391—591no—
868#390—591no—
869#390—591no—
870#390—591no—
871#390—591no—
872#390—591no—
873#390—591no—
874#390—591no—
875#390—591no—
876#390—591no—
877#390C2×D5911yescharacteristic
878#389—591no—
879#389—591no—
880#389—591no—
881#389—591no—
882#389—591no—
883#389—591no—
884#389—591no—
885#389—591no—
886#389—591no—
887#389—591no—
888#389C2×D5911yescharacteristic, complemented
889#389C2×D5911yescharacteristic, complemented
890#388—591no—
891#388—591no—
892#388—591no—
893#388—591no—
894#388—591no—
895#388—591no—
896#388—591no—
897#388—591no—
898#388—591no—
899#388—591no—
900#388—591no—
901#388—591no—
902#388—591no—
903#388—591no—
904#388—591no—
905#388—591no—
906#388—591no—
907#388—591no—
908#388—591no—
909#388—591no—
910#388C2×D5911yescharacteristic
911#388C2×D5911yescharacteristic
912#388C2×D5911yescharacteristic, complemented
913#388C2×D5911yescharacteristic, complemented
914#387—591no—
915#387—591no—
916#387—591no—
917#387—591no—
918#387—591no—
919#387—591no—
920#387C2×D5911yescharacteristic, complemented
921#387C2×D5911yescharacteristic, complemented
922#386—591no—
923#386—591no—
924#386—591no—
925#386—591no—
926#386—591no—
927#386—591no—
928#386—591no—
929#386—591no—
930#386—591no—
931#386—591no—
932#386—591no—
933#386C2×D5911yescharacteristic
934#385—591no—
935#385—591no—
936#385—591no—
937#385—591no—
938#385—591no—
939#385—591no—
940#385—591no—
941#385—591no—
942#385—591no—
943#385—591no—
944#385C2×D5911yescharacteristic, complemented
945#385C2×D5911yescharacteristic, complemented
946#383—591no—
947#383—591no—
948#382—591no—
949#382—591no—
950#381—591no—
951#381—591no—
952#381—591no—
953#381—591no—
954#380—591no—
955#380—591no—
956#380—591no—
957#380—591no—
958#380—591no—
959#380—591no—
960#380—591no—
961#380—591no—
962#380—591no—
963#380—591no—
964#380—591no—
965#380—591no—
966#380C2×D5911yescharacteristic
967#380C2×D5911yescharacteristic
968#379—591no—
969#379—591no—
970C4×C4⋊C4—591no—
971C4×C4⋊C4—591no—
972C4×C4⋊C4—591no—
973C4×C4⋊C4—591no—
974C4×C4⋊C4—591no—
975C4×C4⋊C4—591no—
976C4×C22⋊C4—591no—
977C4×C22⋊C4—591no—
978C4×C22⋊C4—591no—
979C4×C22⋊C4—591no—
980C4×C22⋊C4—591no—
981C4×C22⋊C4—591no—
982C4×C22⋊C4—591no—
983C4×C22⋊C4—591no—
984C4×C22⋊C4—591no—
985C4×C22⋊C4—591no—
986#376—591no—
987#376—591no—
988C2×#95—591no—
989C2×#95—591no—
990C2×#95—591no—
991C2×#95—591no—
992C59#3440411yescharacteristic, complemented, Sylow
993C25—591no—
994C2×#41—598no—
995C2×#41—2362no—
996C2×#41—2362no—
997C22×Q8—591no—
998C22×D4—591no—
999C22×D4—591no—
1000C22×D4—591no—
1001C22×D4—591no—
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4C22×D5911yescharacteristic
1005C23×C4—591no—
1006C23×C4—591no—
1007C23×C4—591no—
1008C23×C4—591no—
1009C23×C4—598no—
1010C23×C4—591no—
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—591no—
1019C23×C4—591no—
1020C23×C4—2362no—
1021C23×C4—2362no—
1022C23×C4C22×D5911yescharacteristic
1023C23×C4C22×D5911yescharacteristic
1024#123—598no—
1025#123C4×D5918yescomplemented
1026C22⋊Q8—598no—
1027C22⋊Q8—598no—
1028#121—598no—
1029#121—598no—
1030#120—598no—
1031#120—598no—
1032C4×Q8—2362no—
1033C4×Q8—2362no—
1034C4×D4—598no—
1035C4×D4—598no—
1036C4×D4—598no—
1037C4×D4—598no—
1038C4×D4—2362no—
1039C4×D4—2362no—
1040C4×D4—2362no—
1041C4×D4—2362no—
1042C4×D4—2362no—
1043C4×D4—2362no—
1044#117—598no—
1045#117—2362no—
1046#117—2362no—
1047C2×C4⋊C4—591no—
1048C2×C4⋊C4—591no—
1049C2×C4⋊C4—591no—
1050C2×C4⋊C4—591no—
1051C2×C4⋊C4—591no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—591no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—2362no—
1069C2×C4⋊C4—2362no—
1070C2×C4⋊C4C22×D5911yescharacteristic
1071C2×C4⋊C4C22×D5911yescharacteristic
1072C2×C4⋊C4C22×D5911yescharacteristic
1073C2×C4⋊C4C22×D5911yescharacteristic
1074C2×C4⋊C4C22×D5911yescharacteristic
1075C2×C4⋊C4C22×D5911yescharacteristic
1076C2×C4⋊C4C22×D5911yescharacteristic
1077C2×C4⋊C4C22×D5911yescharacteristic
1078C2×C4⋊C4C22×D5911yescharacteristic
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
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—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—2362no—
1112C2×C22⋊C4—2362no—
1113C2×C22⋊C4C22×D5911yescharacteristic
1114C2×C22⋊C4C22×D5911yescharacteristic
1115C2×C22⋊C4C22×D5911yescharacteristic
1116C2×C22⋊C4C22×D5911yescharacteristic
1117C2×C22⋊C4C22×D5911yescharacteristic
1118C2×C22⋊C4C22×D5911yescharacteristic
1119C2×C22⋊C4C22×D5911yescharacteristic
1120C2×C22⋊C4C22×D5911yescharacteristic
1121C2×C22⋊C4C22×D5911yescharacteristic
1122C2×C22⋊C4C22×D5911yescharacteristic
1123C2×C42—591no—
1124C2×C42—591no—
1125C2×C42—591no—
1126C2×C42—591no—
1127C2×C42—591no—
1128C2×C42—591no—
1129C2×C42—591no—
1130C2×C42—591no—
1131C2×C42—591no—
1132C2×C42—591no—
1133C2×C42—591no—
1134C2×C42—591no—
1135C2×C42—591no—
1136C2×C42—591no—
1137C2×C42—591no—
1138C2×C42C22×D5911yescharacteristic
1139C2×C42C22×D5911yescharacteristic
1140C2×C42C22×D5911yescharacteristic
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95C22×D5911yescharacteristic
1172#95C22×D5911yescharacteristic
1173#95C22×D5911yescharacteristic
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179#95C22×D5911yescharacteristic
1180#95C22×D5911yescharacteristic
1181C24—591no—
1182C24—591no—
1183C24—591no—
1184C24—594no—
1185C24—1182no—
1186C24—1182no—
1187C24—2361no—
1188C24—2361no—
1189C24—2361no—
1190C24—2361no—
1191C24C23×D5911yescharacteristic
1192C24C23×D5911yescharacteristic
1193#41—23616no—
1194C2×Q8—594no—
1195C2×Q8—1182no—
1196C2×Q8—1182no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—594no—
1200C2×D4—594no—
1201C2×D4—594no—
1202C2×D4—594no—
1203C2×D4—594no—
1204C2×D4—594no—
1205C2×D4—1182no—
1206C2×D4—1182no—
1207C2×D4—1182no—
1208C2×D4—1182no—
1209C2×D4—1182no—
1210C2×D4—1182no—
1211C2×D4—2361no—
1212C2×D4—2361no—
1213C2×D4—2361no—
1214C2×D4—2361no—
1215C2×D4—2361no—
1216C2×D4—2361no—
1217C2×D4C2×C4×D5914yes—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—591no—
1224C22×C4—594no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
1229C22×C4—594no—
1230C22×C4—594no—
1231C22×C4—594no—
1232C22×C4—594no—
1233C22×C4—594no—
1234C22×C4—594no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—591no—
1241C22×C4—591no—
1242C22×C4—591no—
1243C22×C4—1182no—
1244C22×C4—1182no—
1245C22×C4—1182no—
1246C22×C4—1182no—
1247C22×C4—1182no—
1248C22×C4—1182no—
1249C22×C4—1182no—
1250C22×C4—1182no—
1251C22×C4—1182no—
1252C22×C4—1182no—
1253C22×C4—2361no—
1254C22×C4—2361no—
1255C22×C4—2361no—
1256C22×C4—2361no—
1257C22×C4—2361no—
1258C22×C4—2361no—
1259C22×C4—2361no—
1260C22×C4—2361no—
1261C22×C4—2361no—
1262C22×C4—2361no—
1263C22×C4—2361no—
1264C22×C4—2361no—
1265C22×C4—2361no—
1266C22×C4—2361no—
1267C22×C4—2361no—
1268C22×C4—2361no—
1269C22×C4—2361no—
1270C22×C4—2361no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—23616no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4—2361no—
1277C22×C4—2361no—
1278C22×C4—2361no—
1279C22×C4C2×C4×D5914yes—
1280C22×C4C23×D5911yescharacteristic
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C22×C4C23×D5911yescharacteristic
1285C22×C4C23×D5911yescharacteristic
1286C22×C4C23×D5911yescharacteristic
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C22×C4C23×D5911yescharacteristic
1291C22×C4C23×D5911yescharacteristic
1292C22×C4C23×D5911yescharacteristic
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—594no—
1301C4⋊C4—594no—
1302C4⋊C4—594no—
1303C4⋊C4—594no—
1304C4⋊C4—1182no—
1305C4⋊C4—1182no—
1306C4⋊C4—1182no—
1307C4⋊C4—1182no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C4⋊C4—2361no—
1313C4⋊C4—2361no—
1314C4⋊C4—2361no—
1315C4⋊C4—2361no—
1316C4⋊C4—2361no—
1317C4⋊C4—2361no—
1318C4⋊C4—2361no—
1319C4⋊C4—2361no—
1320C4⋊C4—2361no—
1321C4⋊C4C2×C4×D5914yes—
1322C4⋊C4C2×C4×D5914yes—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—594no—
1331C22⋊C4—594no—
1332C22⋊C4—594no—
1333C22⋊C4—594no—
1334C22⋊C4—594no—
1335C22⋊C4—594no—
1336C22⋊C4—594no—
1337C22⋊C4—1182no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—2361no—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C22⋊C4—2361no—
1345C22⋊C4—2361no—
1346C22⋊C4—2361no—
1347C22⋊C4—2361no—
1348C22⋊C4—2361no—
1349C22⋊C4—2361no—
1350C22⋊C4—2361no—
1351C22⋊C4—2361no—
1352C22⋊C4—2361no—
1353C22⋊C4—2361no—
1354C22⋊C4—2361no—
1355C22⋊C4—2361no—
1356C22⋊C4—2361no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4—2361no—
1360C22⋊C4—2361no—
1361C22⋊C4—2361no—
1362C22⋊C4C2×C4×D5914yes—
1363C22⋊C4C2×C4×D5914yes—
1364C22⋊C4C2×C4×D5914yes—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—594no—
1369C42—594no—
1370C42—1182no—
1371C42—1182no—
1372C42—1182no—
1373C42—1182no—
1374C42—2361no—
1375C42—2361no—
1376C42—2361no—
1377C42—2361no—
1378C42—2361no—
1379C42—2361no—
1380C42—2361no—
1381C42—2361no—
1382C42—2361no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—592no—
1396C23—592no—
1397C23—592no—
1398C23—592no—
1399C23—592no—
1400C23—1188no—
1401C23—1181no—
1402C23—1181no—
1403C23—1181no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
1409C23—1181no—
1410C23—1181no—
1411C23—1181no—
1412C23—1181no—
1413C23—1181no—
1414C23—1181no—
1415C23—1181no—
1416C23—1181no—
1417C23—2364no—
1418C23—2364no—
1419C23—2364no—
1420C23—2364no—
1421C23—2364no—
1422C23—2364no—
1423C23C22×C4×D5912yes—
1424C23C22×C4×D5912yes—
1425C23C24×D5911yescharacteristic
1426Q8—1188no—
1427D4—44no—
1428D4—1188no—
1429D4—1188no—
1430D4—1188no—
1431D4—2364no—
1432D4—2364no—
1433D4—2364no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—44no—
1469C2×C4—82no—
1470C2×C4—592no—
1471C2×C4—592no—
1472C2×C4—592no—
1473C2×C4—592no—
1474C2×C4—592no—
1475C2×C4—592no—
1476C2×C4—592no—
1477C2×C4—1188no—
1478C2×C4—1188no—
1479C2×C4—1188no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—4722no—
1513C2×C4—4722no—
1514C2×C4—4722no—
1515C2×C4—4722no—
1516C2×C4—4722no—
1517C2×C4—4722no—
1518C2×C4—4722no—
1519C2×C4—2364no—
1520C2×C4—2364no—
1521C2×C4—2364no—
1522C2×C4—2364no—
1523C2×C4C22×C4×D5912yes—
1524C2×C4C22×C4×D5912yes—
1525C2×C4C22×C4×D5912yes—
1526C2×C4C22×C4×D5912yes—
1527C2×C4C22×C4×D5912yes—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—594no—
1543C22—1182no—
1544C22—1182no—
1545C22—1182no—
1546C22—1182no—
1547C22—1182no—
1548C22—1182no—
1549C22—1182no—
1550C22—1182no—
1551C22—1182no—
1552C22—1182no—
1553C22—1182no—
1554C22—1182no—
1555C22—23616no—
1556C22—2361no—
1557C22—2361no—
1558C22—2361no—
1559C22—2361no—
1560C22—2361no—
1561C22—2361no—
1562C22—2361no—
1563C22—2361no—
1564C22C23×C4×D5911yescharacteristic
1565C22H(5,𝔽2)×D5911yescharacteristic
1566C22H(5,𝔽2)×D5911yescharacteristic
1567C22H(5,𝔽2)×D5911yescharacteristic
1568C222−1+4×D5911yescharacteristic
1569C22#1683823711yescharacteristic
1570C22#1683823911yescharacteristic
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—594no—
1585C4—1182no—
1586C4—1182no—
1587C4—1182no—
1588C4—1182no—
1589C4—2361no—
1590C4—2361no—
1591C4—2361no—
1592C4—2361no—
1593C4—2361no—
1594C4—2361no—
1595C4—2361no—
1596C4—2361no—
1597C2—42no—
1598C2—42no—
1599C2—1184no—
1600C2—2362no—
1601C2—2362no—
1602C2#518×D5911yescharacteristic
1603C2#520×D5911yescharacteristic
1604C2#2143729611yescharacteristic
1605C2#2143837811yescharacteristic
1606C2#2143838611yescharacteristic
1607C2#2143840111yescharacteristic
1608C2#2143840911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2376C2
socle, cosocleC23×C59C25
prime radicalC2×#16837910C2
hypercenter#2376D59
hypocenterC59#34404
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2376

Complements

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

NH ≅ G/Ntype
2. #21427244C2semidirect
3. #21427240C2semidirect
4. #21427240C2semidirect
5. #21427115C2semidirect
6. #21427109C2semidirect
7. #21427104C2semidirect
8. #21427098C2semidirect
9. #21427035C2semidirect
10. #21427031C2semidirect
11. #21427005C2semidirect
12. #21427002C2semidirect
13. #21426986C2semidirect
14. #21426978C2semidirect
15. #21426935C2semidirect
16. #21426922C2semidirect
17. #21426788C2semidirect
18. #21426784C2semidirect
19. #21426777C2semidirect
20. #21426773C2semidirect
21. #21426758C2semidirect
22. #21426755C2semidirect
23. #21426752C2semidirect
24. #21426749C2semidirect
25. #21426737C2semidirect
26. #21426735C2semidirect
27. #21426728C2semidirect
28. #21426724C2semidirect
29. #21426478C2semidirect
30. #380×D59C2semidirect
31. C59×#2376C2semidirect
34. #16837910C4semidirect
42. C2×C4×Dic118C22semidirect
43. C2×#14273692C22semidirect
49. C2×C4×C22⋊D59C22semidirect
53. C2×(C22⋊D59)⋊C4C22semidirect
61. #16837306C22semidirect
62. #16837306C22semidirect
70. #16837302C22semidirect
71. #16837302C22semidirect
72. #16837301C22semidirect
73. #16837301C22semidirect
74. #16837299C22semidirect
75. #16837299C22semidirect
76. #16837299C22semidirect
77. #16837299C22semidirect
78. #16837297C22semidirect
79. #16837297C22semidirect
80. #16837297C22semidirect
81. #16837297C22semidirect
86. #16837295C22semidirect
87. #16837295C22semidirect
90. #16837294C22semidirect
91. #16837294C22semidirect
96. #16837292C22semidirect
97. #16837292C22semidirect
102. #16837289C22semidirect
103. #16837289C22semidirect
104. #16837288C22semidirect
105. #16837288C22semidirect
106. #16837283C22semidirect
107. #16837283C22semidirect
119. #16837277C22semidirect
120. #16837277C22semidirect
123. #16837276C22semidirect
124. #16837276C22semidirect
127. #16837273C22semidirect
128. #16837273C22semidirect
129. #16837269C22semidirect
130. #16837269C22semidirect
131. #16837267C22semidirect
132. #16837266C22semidirect
135. #16837264C22semidirect
136. #16837263C22semidirect
143. #16837260C22semidirect
148. #16837259C22semidirect
151. C4⋊C4×Dic59C22semidirect
152. C4×Dic59⋊C4C22semidirect
153. C4×Dic59⋊C4C22semidirect
154. C4×Dic59⋊C4C22semidirect
155. #16837253C22semidirect
156. #16837253C22semidirect
159. C22⋊C4×Dic59C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
167. #16837248C22semidirect
168. #16837247C22semidirect
169. C2×C59⋊#95C22semidirect
172. #95×D59C22semidirect
175. C59×#389C22semidirect
176. C59×#389C22semidirect
179. C59×#388C22semidirect
180. C59×#388C22semidirect
181. C59×#387C22semidirect
182. C59×#387C22semidirect
184. C59×#385C22semidirect
185. C59×#385C22semidirect
191. C2×#11745687C2×C4semidirect
204. C22×C4×D59C2×C4semidirect
216. #14273710C2×C4semidirect
217. #14273705C2×C4semidirect
218. #14273705C2×C4semidirect
220. #14273700C2×C4semidirect
221. #14273697C2×C4semidirect
222. #14273695C2×C4semidirect
227. #14273689C2×C4semidirect
228. #14273689C2×C4semidirect
233. (C22⋊D59)⋊C4C2×C4semidirect
234. (C22⋊D59)⋊C4C2×C4semidirect
237. #14273683C2×C4semidirect
343. #123×C59C2×C4semidirect
797. #2376D59semidirect
888. #389C2×D59semidirect
889. #389C2×D59semidirect
912. #388C2×D59semidirect
913. #388C2×D59semidirect
920. #387C2×D59semidirect
921. #387C2×D59semidirect
944. #385C2×D59semidirect
945. #385C2×D59semidirect
992. C59#34404semidirect
1025. #123C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168379102
#214272442
#214272402
#214271152
#214271092
#214271042
#214270982
#214270352
#214270312
#214270052
#214270022
#214269862
#214269782
#214269352
#214269222
#214267882
#214267842
#214267772
#214267732
#214267582
#214267552
#214267522
#214267492
#214267372
#214267352
#214267282
#214267242
#214264782
#380×D592
C59×#23762
#3440459