Finite Group Databasebeta

← #28752418

Subgroups — #28752418

Order 15104.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837984C211yesmaximal, characteristic
2#21427286C211yesmaximal, characteristic, complemented
3#21427283C211yesmaximal, characteristic, complemented
4#21427247C211yesmaximal, characteristic, complemented
5#21427211C211yesmaximal, characteristic, complemented
6#21427209C211yesmaximal, characteristic, complemented
7#21427116C211yesmaximal, characteristic, complemented
8#21427107C211yesmaximal, characteristic, complemented
9#21427079C211yesmaximal, characteristic, complemented
10#21427077C211yesmaximal, characteristic, complemented
11#21427076C211yesmaximal, characteristic, complemented
12#21427076C211yesmaximal, characteristic, complemented
13#21427033C211yesmaximal, characteristic, complemented
14#21427031C211yesmaximal, characteristic, complemented
15#21426994C211yesmaximal, characteristic, complemented
16#21426992C211yesmaximal, characteristic, complemented
17#21426905C211yesmaximal, characteristic, complemented
18#21426903C211yesmaximal, characteristic, complemented
19#21426887C211yesmaximal, characteristic, complemented
20#21426882C211yesmaximal, characteristic, complemented
21#21426823C211yesmaximal, characteristic, complemented
22#21426806C211yesmaximal, characteristic, complemented
23#21426802C211yesmaximal, characteristic, complemented
24#21426798C211yesmaximal, characteristic, complemented
25#21426770C211yesmaximal, characteristic, complemented
26#21426762C211yesmaximal, characteristic, complemented
27#21426707C211yesmaximal, characteristic, complemented
28#21426630C211yesmaximal, characteristic, complemented
29#21426612C211yesmaximal, characteristic, complemented
30#388×D59C211yesmaximal, characteristic, complemented
31C59×#2377C211yesmaximal, characteristic, complemented
32#16837984C4116yescomplemented
33C2×#14273722C2211yescharacteristic
34C2×#14273720C2211yescharacteristic
35C2×#14273714C2211yescharacteristic
36C2×#14273713C2211yescharacteristic
37C2×#14273710C2211yescharacteristic
38C2×#14273708C2211yescharacteristic
39C2×#14273705C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273698C2211yescharacteristic
42C2×#14273695C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×#14273692C2211yescharacteristic, complemented
45C2×D4×Dic59C2211yescharacteristic
46C2×D4×Dic59C2211yescharacteristic
47C2×D4×Dic59C2211yescharacteristic, complemented
48C2×C4×C22⋊D59C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50C2×C4×C22⋊D59C2211yescharacteristic
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic
55C2×(C22⋊D59)⋊C4C2211yescharacteristic
56C22×C4⋊Dic59C2211yescharacteristic, complemented
57C22×Dic59⋊C4C2211yescharacteristic, complemented
58C2×C4⋊C4×D59C2211yescharacteristic
59C22×(C2×D59)⋊C4C2211yescharacteristic
60C2×C22⋊C4×D59C2211yescharacteristic
61C2×C22⋊C4×D59C2211yescharacteristic
62C2×C22⋊C4×D59C2211yescharacteristic
63C2×C22⋊C4×D59C2211yescharacteristic
64C2×C42×D59C2211yescharacteristic
65#16837308C2211yescharacteristic, complemented
66#16837306C2211yescharacteristic, complemented
67#16837306C2211yescharacteristic, complemented
68#16837305C2211yescharacteristic
69#16837302C2211yescharacteristic
70#16837302C2211yescharacteristic
71#16837301C2211yescharacteristic, complemented
72#16837300C2211yescharacteristic, complemented
73#16837299C2211yescharacteristic, complemented
74#16837299C2211yescharacteristic, complemented
75#16837299C2211yescharacteristic, complemented
76#16837299C2211yescharacteristic, complemented
77#16837299C2211yescharacteristic, complemented
78#16837297C2211yescharacteristic, complemented
79#16837296C2211yescharacteristic
80#16837296C2211yescharacteristic
81#16837296C2211yescharacteristic
82#16837296C2211yescharacteristic, complemented
83#16837296C2211yescharacteristic, complemented
84#16837296C2211yescharacteristic, complemented
85#16837296C2211yescharacteristic, complemented
86#16837296C2211yescharacteristic, complemented
87#16837295C2211yescharacteristic
88#16837295C2211yescharacteristic, complemented
89#16837294C2211yescharacteristic
90#16837294C2211yescharacteristic
91#16837294C2211yescharacteristic
92#16837293C2211yescharacteristic
93#16837292C2211yescharacteristic
94#16837291C2211yescharacteristic
95#16837291C2211yescharacteristic
96#16837291C2211yescharacteristic
97#16837290C2211yescharacteristic
98#16837290C2211yescharacteristic
99#16837290C2211yescharacteristic
100#16837290C2211yescharacteristic, complemented
101#16837289C2211yescharacteristic, complemented
102#16837289C2211yescharacteristic, complemented
103#16837287C2211yescharacteristic, complemented
104#16837286C2211yescharacteristic, complemented
105#16837285C2211yescharacteristic, complemented
106#16837284C2211yescharacteristic, complemented
107#16837284C2211yescharacteristic, complemented
108#16837284C2211yescharacteristic, complemented
109#16837283C2211yescharacteristic, complemented
110#16837283C2211yescharacteristic, complemented
111#16837282C2211yescharacteristic
112#16837282C2211yescharacteristic, complemented
113#16837279C2211yescharacteristic
114#16837279C2211yescharacteristic
115#16837278C2211yescharacteristic
116#16837278C2211yescharacteristic
117#16837278C2211yescharacteristic
118#16837278C2211yescharacteristic
119#16837278C2211yescharacteristic
120#16837278C2211yescharacteristic
121#16837277C2211yescharacteristic
122#16837277C2211yescharacteristic, complemented
123#16837276C2211yescharacteristic
124#16837276C2211yescharacteristic
125#16837276C2211yescharacteristic
126#16837276C2211yescharacteristic
127#16837276C2211yescharacteristic
128#16837276C2211yescharacteristic
129#16837275C2211yescharacteristic
130#16837275C2211yescharacteristic, complemented
131#16837274C2211yescharacteristic
132#16837274C2211yescharacteristic
133#16837274C2211yescharacteristic
134#16837274C2211yescharacteristic, complemented
135#16837274C2211yescharacteristic, complemented
136#16837274C2211yescharacteristic, complemented
137#16837273C2211yescharacteristic
138#16837273C2211yescharacteristic
139#16837273C2211yescharacteristic
140#16837273C2211yescharacteristic
141#16837271C2211yescharacteristic, complemented
142#16837271C2211yescharacteristic, complemented
143#16837269C2211yescharacteristic, complemented
144#16837269C2211yescharacteristic, complemented
145#16837263C2211yescharacteristic, complemented
146#16837261C2211yescharacteristic
147#16837261C2211yescharacteristic
148#16837260C2211yescharacteristic, complemented
149#16837259C2211yescharacteristic
150#16837259C2211yescharacteristic
151C4⋊C4×Dic59C2211yescharacteristic, complemented
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4⋊C4×Dic59C2211yescharacteristic, complemented
154#16837253C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156#16837253C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic, complemented
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C4×(C2×D59)⋊C4C2211yescharacteristic
161C4×(C2×D59)⋊C4C2211yescharacteristic
162C4×C22⋊Dic59C2211yescharacteristic
163C4×C22⋊Dic59C2211yescharacteristic
164C4×C22⋊Dic59C2211yescharacteristic, complemented
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837248C2211yescharacteristic, complemented
170#16837247C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic
172#95×D59C2211yescharacteristic
173C2×#121×C59C2211yescharacteristic
174C59×#390C2211yescharacteristic
175C59×#390C2211yescharacteristic, complemented
176C59×#388C2211yescharacteristic
177C59×#388C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#387C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic, complemented
184C59×#385C2211yescharacteristic
185C59×#385C2211yescharacteristic, complemented
186C59×#381C2211yescharacteristic, complemented
187C59×#380C2211yescharacteristic, complemented
188C24×D59C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C23×Dic59C2311yescharacteristic
195C23×Dic59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C22×C4×D59C2311yescharacteristic
200C22×C4×D59C2311yescharacteristic
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207#14273722C2×C418yescomplemented
208#14273720C2×C418yescomplemented
209#14273714C2×C418yescomplemented
210#14273713C2×C418yescomplemented
211#14273710C2×C418yescomplemented
212#14273708C2×C418yescomplemented
213#14273705C2×C418yescomplemented
214#14273699C2×C418yescomplemented
215#14273698C2×C418yescomplemented
216#14273695C2×C418yescomplemented
217#14273695C2×C418yescomplemented
218#14273692—42no—
219D4×Dic59—42no—
220D4×Dic59—42no—
221D4×Dic59—42no—
222C4×C22⋊D59—42no—
223C4×C22⋊D59—42no—
224C4×C22⋊D59C2×C418yescomplemented
225(C22⋊D59)⋊C4—42no—
226(C22⋊D59)⋊C4—42no—
227(C22⋊D59)⋊C4—42no—
228(C22⋊D59)⋊C4—42no—
229(C22⋊D59)⋊C4C2×C418yescomplemented
230C2×C4⋊Dic59—42no—
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×Dic59⋊C4—42no—
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
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C4⋊C4×D59—42no—
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×(C2×D59)⋊C4—42no—
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
289C22⋊C4×D59—42no—
290C22⋊C4×D59—42no—
291C22⋊C4×D59—42no—
292C22⋊C4×D59C2×C418yescomplemented
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
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
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×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×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×D59C22×C414yes—
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C2×D4×C59—41no—
389C2×D4×C59—41no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
394C2×D4×C59C22×C414yes—
395C2×D4×C59C22×C414yes—
396C2×D4×C59C22×C414yes—
397C22×C4×C59—41no—
398C22×C4×C59—41no—
399C22×C4×C59—41no—
400C22×C4×C59—41no—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59—41no—
405C22×C4×C59C22×C414yes—
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C2×C22⋊D59—22no—
419C2×C22⋊D59—22no—
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59C22×C414yes—
427C2×C22⋊D59C22×C414yes—
428C2×C22⋊D59C22×C414yes—
429C2×C22⋊D59C22×C414yes—
430C22×Dic59—22no—
431C22×Dic59—22no—
432C22×Dic59—41no—
433C22×Dic59—41no—
434C22×Dic59—41no—
435C22×Dic59—41no—
436C22×Dic59—41no—
437C22×Dic59—41no—
438C22×Dic59—41no—
439C22×Dic59—41no—
440C22×Dic59—41no—
441C22×Dic59—41no—
442C22×Dic59—41no—
443C22×Dic59—41no—
444C22×Dic59C22×C414yes—
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
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×D59—41no—
481C2×C4×D59C22×C414yes—
482C2×C4×D59C22×C414yes—
483C2×Dic118—41no—
484C2×Dic118—41no—
485C2×Dic118C22×C414yes—
486C4⋊C4×C59—41no—
487C4⋊C4×C59—41no—
488C4⋊C4×C59—41no—
489C4⋊C4×C59—41no—
490C4⋊C4×C59C22×C414yes—
491C22⋊C4×C59—41no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C22⋊C4×C59—41no—
495C22⋊C4×C59—41no—
496C22⋊C4×C59—41no—
497C22⋊C4×C59—41no—
498C22⋊C4×C59—41no—
499C22⋊C4×C59—41no—
500C22⋊C4×C59—41no—
501C22⋊C4×C59C22×C414yes—
502C22⋊C4×C59C22×C414yes—
503C42×C59—41no—
504C42×C59—41no—
505C22⋊Dic59—22no—
506C22⋊Dic59—22no—
507C22⋊Dic59—22no—
508C22⋊Dic59—22no—
509C22⋊Dic59—41no—
510C22⋊Dic59—41no—
511C22⋊Dic59—41no—
512C22⋊Dic59—41no—
513C22⋊Dic59C22×C414yes—
514C22⋊Dic59C22×C414yes—
515C22⋊Dic59C22×C414yes—
516C22⋊Dic59C22×C414yes—
517C22⋊Dic59C22×C414yes—
518C22⋊Dic59C22×C414yes—
519(C2×D59)⋊C4—22no—
520(C2×D59)⋊C4—22no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4C22×C414yes—
530(C2×D59)⋊C4C22×C414yes—
531(C2×D59)⋊C4C22×C414yes—
532(C2×D59)⋊C4C22×C414yes—
533(C2×D59)⋊C4C22×C414yes—
534(C2×D59)⋊C4C22×C414yes—
535C4⋊Dic59—22no—
536C4⋊Dic59—22no—
537C4⋊Dic59—41no—
538C4⋊Dic59—41no—
539C4⋊Dic59—41no—
540C4⋊Dic59—41no—
541C4⋊Dic59C22×C414yes—
542Dic59⋊C4—22no—
543Dic59⋊C4—22no—
544Dic59⋊C4—41no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552Dic59⋊C4—41no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4C22×C414yes—
557Dic59⋊C4C22×C414yes—
558Dic59⋊C4C22×C414yes—
559Dic59⋊C4C22×C414yes—
560C4×Dic59—22no—
561C4×Dic59—22no—
562C4×Dic59—22no—
563C4×Dic59—22no—
564C4×Dic59—41no—
565C4×Dic59—41no—
566C4×Dic59—41no—
567C4×Dic59—41no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C4×Dic59—41no—
573C4×Dic59—41no—
574C4×Dic59C22×C414yes—
575C4×Dic59C22×C414yes—
576C23×C59—21no—
577C23×C59—21no—
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×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59C23×C412yes—
595C23×C59C23×C412yes—
596C23×C59C23×C412yes—
597C23×C59C2511yescharacteristic
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—28no—
609C22×D59—44no—
610C22×D59—44no—
611C22×D59—82no—
612C22×D59—82no—
613C22×D59—82no—
614C22×D59—82no—
615C22×D59C23×C412yes—
616C22×D59C23×C412yes—
617C22×D59H(5,𝔽2)12yes—
618C22×D592−1+412yes—
619D4×C59—44no—
620D4×C59—44no—
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—44no—
655C2×C4×C59—82no—
656C2×C4×C59—82no—
657C2×C4×C59C23×C412yes—
658C2×C4×C59C23×C412yes—
659C2×C4×C59C23×C412yes—
660C2×C4×C59C23×C412yes—
661C22⋊D59—28no—
662C22⋊D59—28no—
663C22⋊D59—44no—
664C22⋊D59—44no—
665C2×Dic59—21no—
666C2×Dic59—21no—
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—21no—
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—44no—
700C2×Dic59—82no—
701C2×Dic59—82no—
702C2×Dic59—82no—
703C2×Dic59—82no—
704C2×Dic59C23×C412yes—
705C2×Dic59C23×C412yes—
706C2×Dic59C23×C412yes—
707C2×Dic59C23×C412yes—
708C2×Dic59C23×C412yes—
709C2×Dic59C23×C412yes—
710C2×Dic59H(5,𝔽2)12yes—
711C2×Dic59H(5,𝔽2)12yes—
712C4×D59—44no—
713C4×D59—44no—
714C4×D59—44no—
715C4×D59—44no—
716C4×D59—82no—
717C4×D59—82no—
718C4×D59—82no—
719C4×D59—82no—
720Dic118—44no—
721#34426—591nomaximal, Sylow
722C22×C59—22no—
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59—22no—
730C22×C59—22no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59C24×C411yescharacteristic
744C22×C59C2×H(5,𝔽2)11yescharacteristic
745C22×C59C2×H(5,𝔽2)11yescharacteristic
746C22×C59C2×H(5,𝔽2)11yescharacteristic
747C22×C59C2×2−1+411yescharacteristic
748C22×C59#58511yescharacteristic
749C22×C59#58511yescharacteristic
750C2×D59—22no—
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—22no—
757C2×D59—22no—
758C2×D59—22no—
759C2×D59—41no—
760C2×D59—41no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—88no—
764C2×D59#52014yes—
765C4×C59—22no—
766C4×C59—22no—
767C4×C59—22no—
768C4×C59—22no—
769C4×C59—41no—
770C4×C59—41no—
771C4×C59—41no—
772C4×C59—41no—
773C4×C59—41no—
774C4×C59—41no—
775C4×C59—41no—
776C4×C59—41no—
777Dic59—22no—
778Dic59—22no—
779Dic59—22no—
780Dic59—22no—
781Dic59—22no—
782Dic59—22no—
783Dic59—22no—
784Dic59—22no—
785Dic59—41no—
786Dic59—41no—
787Dic59—41no—
788Dic59—41no—
789Dic59—41no—
790Dic59—41no—
791C2×#538—591no—
792#2383—591no—
793#2383—591no—
794#2377—591no—
795#2377D5911yescharacteristic, complemented
796#2373—591no—
797#2373—591no—
798#2361—591no—
799#2361—591no—
800#2358—591no—
801#2358—591no—
802#2358—591no—
803#2358—591no—
804#2353—591no—
805#2353—591no—
806D4×C4⋊C4—591no—
807D4×C4⋊C4—591no—
808#2337—591no—
809#2337—591no—
810#2335—591no—
811#2335—591no—
812#2329—591no—
813#2326—591no—
814#2326—591no—
815#2325—591no—
816#2322—591no—
817#2322—591no—
818#2315—591no—
819C4×C22⋊Q8—591no—
820C4×#121—591no—
821C2×#388—591no—
822C2×C59—42no—
823C2×C59—42no—
824C2×C59—42no—
825C2×C59C2×#52011yescharacteristic
826C2×C59C4×H(5,𝔽2)11yescharacteristic
827C2×C59C4×H(5,𝔽2)11yescharacteristic
828C2×C59#353511yescharacteristic
829C2×C59#353711yescharacteristic
830C2×C59#356011yescharacteristic
831C2×C59#356111yescharacteristic
832D59—24no—
833D59—42no—
834#538—5916no—
835C2×#126—591no—
836C2×#126—591no—
837C2×#124—591no—
838C2×#124—591no—
839C2×#123—591no—
840C2×#123—591no—
841C2×C22⋊Q8—591no—
842C2×#121—591no—
843C2×#121—591no—
844C2×#121C2×D5911yescharacteristic
845C2×#120—591no—
846C2×#120—591no—
847C2×C4×Q8—591no—
848C2×C4×D4—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—
859C22×C4⋊C4—591no—
860C22×C4⋊C4—591no—
861C22×C4⋊C4—591no—
862C22×C22⋊C4—591no—
863C22×C22⋊C4—591no—
864C22×C22⋊C4—591no—
865C22×C22⋊C4—591no—
866C22×C22⋊C4—591no—
867C22×C42—591no—
868#391—591no—
869#391—591no—
870#391—591no—
871#390—591no—
872#390—591no—
873#390—591no—
874#390C2×D5911yescharacteristic
875#390C2×D5911yescharacteristic, complemented
876#389—591no—
877#389—591no—
878#389—591no—
879#389—591no—
880#389—591no—
881#389—591no—
882#389—591no—
883#389—591no—
884#388—591no—
885#388—591no—
886#388—591no—
887#388—591no—
888#388—591no—
889#388—591no—
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#388C2×D5911yescharacteristic
907#388C2×D5911yescharacteristic, complemented
908#387—591no—
909#387—591no—
910#387—591no—
911#387—591no—
912#387—591no—
913#387—591no—
914#387—591no—
915#387—591no—
916#387—591no—
917#387—591no—
918#387C2×D5911yescharacteristic, complemented
919#387C2×D5911yescharacteristic, complemented
920#386—591no—
921#386—591no—
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#386C2×D5911yescharacteristic
931#386C2×D5911yescharacteristic
932#386C2×D5911yescharacteristic
933#386C2×D5911yescharacteristic, complemented
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#385—591no—
945#385—591no—
946#385—591no—
947#385—591no—
948#385—591no—
949#385—591no—
950#385—591no—
951#385—591no—
952#385—591no—
953#385—591no—
954#385C2×D5911yescharacteristic
955#385C2×D5911yescharacteristic, complemented
956#384—591no—
957#384—591no—
958#383—591no—
959#383—591no—
960#381—591no—
961#381C2×D5911yescharacteristic, complemented
962#380—591no—
963#380—591no—
964#380—591no—
965#380—591no—
966#380—591no—
967#380C2×D5911yescharacteristic, complemented
968C4×C4⋊C4—591no—
969C4×C4⋊C4—591no—
970C4×C4⋊C4—591no—
971C4×C4⋊C4—591no—
972C4×C4⋊C4—591no—
973C4×C4⋊C4—591no—
974C4×C22⋊C4—591no—
975C4×C22⋊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—
990C59#3442611yescharacteristic, complemented, Sylow
991C25—591no—
992C22×Q8—591no—
993C22×D4—591no—
994C22×D4—591no—
995C22×D4—591no—
996C22×D4—591no—
997C22×D4C22×D5911yescharacteristic
998C22×D4C22×D5911yescharacteristic
999C22×D4C22×D5911yescharacteristic
1000C23×C4—591no—
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4—591no—
1007C23×C4—591no—
1008C23×C4—591no—
1009C23×C4—591no—
1010C23×C4—591no—
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4C22×D5911yescharacteristic
1014C23×C4C22×D5911yescharacteristic
1015C23×C4C22×D5911yescharacteristic
1016#126—598no—
1017#126—598no—
1018#124—598no—
1019#124—598no—
1020#123—598no—
1021#123—598no—
1022C22⋊Q8—598no—
1023#121—598no—
1024#121—598no—
1025#121C4×D5918yescomplemented
1026#120—598no—
1027#120—598no—
1028C4×Q8—2362no—
1029C4×D4—598no—
1030C4×D4—598no—
1031C4×D4—2362no—
1032C4×D4—2362no—
1033C4×D4—2362no—
1034C4×D4—2362no—
1035C4×D4—2362no—
1036C4×D4—2362no—
1037C4×D4—2362no—
1038C4×D4—2362no—
1039C4×D4—2362no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—591no—
1043C2×C4⋊C4—591no—
1044C2×C4⋊C4—591no—
1045C2×C4⋊C4—591no—
1046C2×C4⋊C4—591no—
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—2362no—
1066C2×C4⋊C4—2362no—
1067C2×C4⋊C4—2362no—
1068C2×C4⋊C4C22×D5911yescharacteristic
1069C2×C4⋊C4C22×D5911yescharacteristic
1070C2×C4⋊C4C22×D5911yescharacteristic
1071C2×C4⋊C4C22×D5911yescharacteristic
1072C2×C4⋊C4C22×D5911yescharacteristic
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
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—598no—
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—2362no—
1105C2×C22⋊C4—2362no—
1106C2×C22⋊C4—2362no—
1107C2×C22⋊C4—2362no—
1108C2×C22⋊C4C22×D5911yescharacteristic
1109C2×C22⋊C4C22×D5911yescharacteristic
1110C2×C22⋊C4C22×D5911yescharacteristic
1111C2×C22⋊C4C22×D5911yescharacteristic
1112C2×C22⋊C4C22×D5911yescharacteristic
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×C42—591no—
1121C2×C42—591no—
1122C2×C42—591no—
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—2362no—
1137C2×C42C22×D5911yescharacteristic
1138C2×C42C22×D5911yescharacteristic
1139#95—591no—
1140#95—591no—
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#95C22×D5911yescharacteristic
1170#95C22×D5911yescharacteristic
1171#95C22×D5911yescharacteristic
1172#95C22×D5911yescharacteristic
1173#95C22×D5911yescharacteristic
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179C24—591no—
1180C24—591no—
1181C24—594no—
1182C24—1182no—
1183C24—1182no—
1184C24—2361no—
1185C24—2361no—
1186C24—2361no—
1187C24—2361no—
1188C24C23×D5911yescharacteristic
1189C24C23×D5911yescharacteristic
1190C24C23×D5911yescharacteristic
1191C2×Q8—594no—
1192C2×Q8—2361no—
1193C2×Q8—2361no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—594no—
1201C2×D4—594no—
1202C2×D4—594no—
1203C2×D4—594no—
1204C2×D4—1182no—
1205C2×D4—1182no—
1206C2×D4—1182no—
1207C2×D4—1182no—
1208C2×D4—2361no—
1209C2×D4—2361no—
1210C2×D4—2361no—
1211C2×D4—2361no—
1212C2×D4C2×C4×D5914yes—
1213C2×D4C2×C4×D5914yes—
1214C2×D4C2×C4×D5914yes—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—591no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
1229C22×C4—591no—
1230C22×C4—591no—
1231C22×C4—594no—
1232C22×C4—594no—
1233C22×C4—594no—
1234C22×C4—591no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—1182no—
1241C22×C4—1182no—
1242C22×C4—1182no—
1243C22×C4—1182no—
1244C22×C4—1182no—
1245C22×C4—1182no—
1246C22×C4—1182no—
1247C22×C4—1182no—
1248C22×C4—2361no—
1249C22×C4—2361no—
1250C22×C4—2361no—
1251C22×C4—2361no—
1252C22×C4—2361no—
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—2361no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4C2×C4×D5914yes—
1277C22×C4C23×D5911yescharacteristic
1278C22×C4C23×D5911yescharacteristic
1279C22×C4C23×D5911yescharacteristic
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
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—594no—
1294C4⋊C4—594no—
1295C4⋊C4—594no—
1296C4⋊C4—594no—
1297C4⋊C4—594no—
1298C4⋊C4—1182no—
1299C4⋊C4—1182no—
1300C4⋊C4—1182no—
1301C4⋊C4—1182no—
1302C4⋊C4—2361no—
1303C4⋊C4—2361no—
1304C4⋊C4—2361no—
1305C4⋊C4—2361no—
1306C4⋊C4—2361no—
1307C4⋊C4—2361no—
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⋊C4C2×C4×D5914yes—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—594no—
1330C22⋊C4—594no—
1331C22⋊C4—594no—
1332C22⋊C4—594no—
1333C22⋊C4—594no—
1334C22⋊C4—594no—
1335C22⋊C4—594no—
1336C22⋊C4—594no—
1337C22⋊C4—594no—
1338C22⋊C4—594no—
1339C22⋊C4—594no—
1340C22⋊C4—594no—
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—2361no—
1352C22⋊C4—2361no—
1353C22⋊C4—2361no—
1354C22⋊C4—2361no—
1355C22⋊C4—2361no—
1356C22⋊C4—2361no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4C2×C4×D5914yes—
1360C22⋊C4C2×C4×D5914yes—
1361C42—41no—
1362C42—41no—
1363C42—594no—
1364C42—594no—
1365C42—1182no—
1366C42—1182no—
1367C42—1182no—
1368C42—1182no—
1369C42—2361no—
1370C42—2361no—
1371C42—2361no—
1372C42—2361no—
1373C42—2361no—
1374C42—2361no—
1375C42—2361no—
1376C42—2361no—
1377C42—2361no—
1378C42—2361no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
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—21no—
1396C23—21no—
1397C23—592no—
1398C23—592no—
1399C23—592no—
1400C23—592no—
1401C23—1188no—
1402C23—1181no—
1403C23—1181no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
1409C23—1181no—
1410C23—1181no—
1411C23—1181no—
1412C23—4722no—
1413C23—4722no—
1414C23—4722no—
1415C23—4722no—
1416C23—2364no—
1417C23—2364no—
1418C23C22×C4×D5912yes—
1419C23C22×C4×D5912yes—
1420C23C22×C4×D5912yes—
1421C23C24×D5911yescharacteristic
1422Q8—2364no—
1423D4—44no—
1424D4—44no—
1425D4—44no—
1426D4—1188no—
1427D4—1188no—
1428D4—2364no—
1429D4—2364no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
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—44no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—592no—
1466C2×C4—592no—
1467C2×C4—592no—
1468C2×C4—592no—
1469C2×C4—592no—
1470C2×C4—592no—
1471C2×C4—592no—
1472C2×C4—592no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
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—4722no—
1508C2×C4—4722no—
1509C2×C4—4722no—
1510C2×C4—4722no—
1511C2×C4—4722no—
1512C2×C4—4722no—
1513C2×C4—4722no—
1514C2×C4—4722no—
1515C2×C4—2364no—
1516C2×C4—2364no—
1517C2×C4—2364no—
1518C2×C4—2364no—
1519C2×C4—2364no—
1520C2×C4C22×C4×D5912yes—
1521C2×C4C22×C4×D5912yes—
1522C2×C4C22×C4×D5912yes—
1523C2×C4C22×C4×D5912yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—594no—
1546C22—1182no—
1547C22—1182no—
1548C22—1182no—
1549C22—1182no—
1550C22—1182no—
1551C22—1182no—
1552C22—1182no—
1553C22—1182no—
1554C22—1182no—
1555C22—4728no—
1556C22—2361no—
1557C22—2361no—
1558C22—2361no—
1559C22—2361no—
1560C22C23×C4×D5911yescharacteristic
1561C22H(5,𝔽2)×D5911yescharacteristic
1562C22H(5,𝔽2)×D5911yescharacteristic
1563C22H(5,𝔽2)×D5911yescharacteristic
1564C222−1+4×D5911yescharacteristic
1565C22#1683823711yescharacteristic
1566C22#1683823711yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—1182no—
1580C4—1182no—
1581C4—1182no—
1582C4—1182no—
1583C4—1182no—
1584C4—1182no—
1585C4—1182no—
1586C4—1182no—
1587C4—2361no—
1588C4—2361no—
1589C4—2361no—
1590C4—2361no—
1591C4—2361no—
1592C4—2361no—
1593C2—42no—
1594C2—42no—
1595C2—42no—
1596C2—1184no—
1597C2—2362no—
1598C2#520×D5911yescharacteristic
1599C2#2143730011yescharacteristic
1600C2#2143730011yescharacteristic
1601C2#2143829611yescharacteristic
1602C2#2143833011yescharacteristic
1603C2#2143864611yescharacteristic
1604C2#2143865811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2377C2
socle, cosocleC23×C59C25
prime radicalC2×#16837984C2
hypercenter#2377D59
hypocenterC59#34426
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2377

Complements

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

NH ≅ G/Ntype
2. #21427286C2semidirect
3. #21427283C2semidirect
4. #21427247C2semidirect
5. #21427211C2semidirect
6. #21427209C2semidirect
7. #21427116C2semidirect
8. #21427107C2semidirect
9. #21427079C2semidirect
10. #21427077C2semidirect
11. #21427076C2semidirect
12. #21427076C2semidirect
13. #21427033C2semidirect
14. #21427031C2semidirect
15. #21426994C2semidirect
16. #21426992C2semidirect
17. #21426905C2semidirect
18. #21426903C2semidirect
19. #21426887C2semidirect
20. #21426882C2semidirect
21. #21426823C2semidirect
22. #21426806C2semidirect
23. #21426802C2semidirect
24. #21426798C2semidirect
25. #21426770C2semidirect
26. #21426762C2semidirect
27. #21426707C2semidirect
28. #21426630C2semidirect
29. #21426612C2semidirect
30. #388×D59C2semidirect
31. C59×#2377C2semidirect
32. #16837984C4semidirect
44. C2×#14273692C22semidirect
47. C2×D4×Dic59C22semidirect
56. C22×C4⋊Dic59C22semidirect
57. C22×Dic59⋊C4C22semidirect
65. #16837308C22semidirect
66. #16837306C22semidirect
67. #16837306C22semidirect
71. #16837301C22semidirect
72. #16837300C22semidirect
73. #16837299C22semidirect
74. #16837299C22semidirect
75. #16837299C22semidirect
76. #16837299C22semidirect
77. #16837299C22semidirect
78. #16837297C22semidirect
82. #16837296C22semidirect
83. #16837296C22semidirect
84. #16837296C22semidirect
85. #16837296C22semidirect
86. #16837296C22semidirect
88. #16837295C22semidirect
100. #16837290C22semidirect
101. #16837289C22semidirect
102. #16837289C22semidirect
103. #16837287C22semidirect
104. #16837286C22semidirect
105. #16837285C22semidirect
106. #16837284C22semidirect
107. #16837284C22semidirect
108. #16837284C22semidirect
109. #16837283C22semidirect
110. #16837283C22semidirect
112. #16837282C22semidirect
122. #16837277C22semidirect
130. #16837275C22semidirect
134. #16837274C22semidirect
135. #16837274C22semidirect
136. #16837274C22semidirect
141. #16837271C22semidirect
142. #16837271C22semidirect
143. #16837269C22semidirect
144. #16837269C22semidirect
145. #16837263C22semidirect
148. #16837260C22semidirect
151. C4⋊C4×Dic59C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4⋊C4×Dic59C22semidirect
154. #16837253C22semidirect
155. #16837253C22semidirect
156. #16837253C22semidirect
157. C22⋊C4×Dic59C22semidirect
158. C22⋊C4×Dic59C22semidirect
159. C22⋊C4×Dic59C22semidirect
164. C4×C22⋊Dic59C22semidirect
169. #16837248C22semidirect
170. #16837247C22semidirect
175. C59×#390C22semidirect
177. C59×#388C22semidirect
178. C59×#387C22semidirect
179. C59×#387C22semidirect
183. C59×#386C22semidirect
185. C59×#385C22semidirect
186. C59×#381C22semidirect
187. C59×#380C22semidirect
207. #14273722C2×C4semidirect
208. #14273720C2×C4semidirect
209. #14273714C2×C4semidirect
210. #14273713C2×C4semidirect
211. #14273710C2×C4semidirect
212. #14273708C2×C4semidirect
213. #14273705C2×C4semidirect
214. #14273699C2×C4semidirect
215. #14273698C2×C4semidirect
216. #14273695C2×C4semidirect
217. #14273695C2×C4semidirect
224. C4×C22⋊D59C2×C4semidirect
229. (C22⋊D59)⋊C4C2×C4semidirect
292. C22⋊C4×D59C2×C4semidirect
346. #121×C59C2×C4semidirect
795. #2377D59semidirect
875. #390C2×D59semidirect
907. #388C2×D59semidirect
918. #387C2×D59semidirect
919. #387C2×D59semidirect
933. #386C2×D59semidirect
955. #385C2×D59semidirect
961. #381C2×D59semidirect
967. #380C2×D59semidirect
990. C59#34426semidirect
1025. #121C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168379842
#214272862
#214272832
#214272472
#214272112
#214272092
#214271162
#214271072
#214270792
#214270772
#214270762
#214270332
#214270312
#214269942
#214269922
#214269052
#214269032
#214268872
#214268822
#214268232
#214268062
#214268022
#214267982
#214267702
#214267622
#214267072
#214266302
#214266122
#388×D592
C59×#23772
#3442659