Finite Group Databasebeta

← #28797590

Subgroups — #28797590

Order 15104.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432388C211yesmaximal, characteristic, complemented
2#21431949C211yesmaximal, characteristic, complemented
3#21431808C211yesmaximal, characteristic, complemented
4#21431419C211yesmaximal, characteristic, complemented
5#21431376C211yesmaximal, characteristic, complemented
6#21431363C211yesmaximal, characteristic, complemented
7#21431319C211yesmaximal, characteristic, complemented
8#21431192C211yesmaximal, characteristic, complemented
9#21430827C211yesmaximal, characteristic, complemented
10#21430826C211yesmaximal, characteristic, complemented
11#21430784C211yesmaximal, characteristic, complemented
12#21430740C211yesmaximal, characteristic, complemented
13#21430679C211yesmaximal, characteristic, complemented
14#21430530C211yesmaximal, characteristic, complemented
15#21430358C211yesmaximal, characteristic, complemented
16#21430357C211yesmaximal, characteristic, complemented
17#21430326C211yesmaximal, characteristic, complemented
18#21429873C211yesmaximal, characteristic, complemented
19#21429836C211yesmaximal, characteristic, complemented
20#21429317C211yesmaximal, characteristic, complemented
21#21429054C211yesmaximal, characteristic, complemented
22#21427731C211yesmaximal, characteristic, complemented
23#21427638C211yesmaximal, characteristic, complemented
24#21427628C211yesmaximal, characteristic, complemented
25#21427564C211yesmaximal, characteristic, complemented
26#21427554C211yesmaximal, characteristic, complemented
27#21427449C211yesmaximal, characteristic, complemented
28#21426797C211yesmaximal, characteristic, complemented
29#21426722C211yesmaximal, characteristic, complemented
30C2×#16837281C211yesmaximal, characteristic, complemented
31C59×#2847C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C2×#14273723C2211yescharacteristic
34C2×#14273723C2211yescharacteristic
35C2×#14273712C2211yescharacteristic, complemented
36C2×#14273710C2211yescharacteristic, complemented
37C2×#14273710C2211yescharacteristic, complemented
38C2×#14273708C2211yescharacteristic, complemented
39C2×#14273699C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273699C2211yescharacteristic
42C2×#14273699C2211yescharacteristic
43C2×#14273699C2211yescharacteristic, complemented
44C2×#14273698C2211yescharacteristic, complemented
45C2×#14273697C2211yescharacteristic
46C2×#14273696C2211yescharacteristic
47C2×#14273695C2211yescharacteristic
48C2×#14273695C2211yescharacteristic
49C2×D4×Dic59C2211yescharacteristic
50C2×D4×Dic59C2211yescharacteristic
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52C22×C22⋊Dic59C2211yescharacteristic
53C22×(C2×D59)⋊C4C2211yescharacteristic
54C22×(C2×D59)⋊C4C2211yescharacteristic
55#16837343C2211yescharacteristic, complemented
56#16837342C2211yescharacteristic, complemented
57#16837338C2211yescharacteristic, complemented
58#16837337C2211yescharacteristic, complemented
59#16837335C2211yescharacteristic, complemented
60#16837335C2211yescharacteristic, complemented
61#16837333C2211yescharacteristic, complemented
62#16837331C2211yescharacteristic, complemented
63#16837331C2211yescharacteristic, complemented
64#16837331C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837330C2211yescharacteristic, complemented
68#16837329C2211yescharacteristic, complemented
69#16837329C2211yescharacteristic, complemented
70#16837327C2211yescharacteristic, complemented
71#16837325C2211yescharacteristic, complemented
72#16837324C2211yescharacteristic, complemented
73#16837320C2211yescharacteristic, complemented
74#16837320C2211yescharacteristic, complemented
75#16837320C2211yescharacteristic, complemented
76#16837319C2211yescharacteristic, complemented
77#16837318C2211yescharacteristic
78#16837318C2211yescharacteristic
79#16837318C2211yescharacteristic, complemented
80#16837318C2211yescharacteristic, complemented
81#16837318C2211yescharacteristic, complemented
82#16837318C2211yescharacteristic, complemented
83#16837318C2211yescharacteristic, complemented
84#16837317C2211yescharacteristic, complemented
85#16837317C2211yescharacteristic, complemented
86#16837317C2211yescharacteristic, complemented
87#16837317C2211yescharacteristic, complemented
88#16837317C2211yescharacteristic, complemented
89#16837316C2211yescharacteristic, complemented
90#16837316C2211yescharacteristic, complemented
91#16837316C2211yescharacteristic, complemented
92#16837311C2211yescharacteristic
93#16837311C2211yescharacteristic
94#16837311C2211yescharacteristic, complemented
95#16837311C2211yescharacteristic, complemented
96#16837310C2211yescharacteristic
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic
99#16837310C2211yescharacteristic
100#16837310C2211yescharacteristic, complemented
101#16837310C2211yescharacteristic, complemented
102#16837310C2211yescharacteristic, complemented
103#16837305C2211yescharacteristic, complemented
104#16837302C2211yescharacteristic
105#16837302C2211yescharacteristic
106#16837302C2211yescharacteristic
107#16837302C2211yescharacteristic
108#16837302C2211yescharacteristic, complemented
109#16837296C2211yescharacteristic, complemented
110#16837296C2211yescharacteristic, complemented
111#16837296C2211yescharacteristic, complemented
112#16837292C2211yescharacteristic, complemented
113#16837292C2211yescharacteristic, complemented
114#16837292C2211yescharacteristic, complemented
115#16837291C2211yescharacteristic, complemented
116#16837291C2211yescharacteristic, complemented
117#16837290C2211yescharacteristic, complemented
118#16837290C2211yescharacteristic, complemented
119#16837290C2211yescharacteristic, complemented
120#16837290C2211yescharacteristic, complemented
121#16837289C2211yescharacteristic, complemented
122#16837288C2211yescharacteristic, complemented
123#16837287C2211yescharacteristic, complemented
124#16837287C2211yescharacteristic, complemented
125#16837285C2211yescharacteristic, complemented
126#16837284C2211yescharacteristic, complemented
127#16837284C2211yescharacteristic, complemented
128#16837283C2211yescharacteristic, complemented
129#16837282C2211yescharacteristic
130#16837282C2211yescharacteristic
131#16837282C2211yescharacteristic, complemented
132#16837282C2211yescharacteristic, complemented
133#16837281C2211yescharacteristic
134#16837281C2211yescharacteristic
135#16837281C2211yescharacteristic
136#16837281C2211yescharacteristic
137#16837281C2211yescharacteristic
138#16837281C2211yescharacteristic
139#16837281C2211yescharacteristic
140#16837281C2211yescharacteristic
141#16837281C2211yescharacteristic
142#16837281C2211yescharacteristic
143#16837281C2211yescharacteristic, complemented
144#16837281C2211yescharacteristic, complemented
145#16837280C2211yescharacteristic, complemented
146#16837279C2211yescharacteristic, complemented
147#16837279C2211yescharacteristic, complemented
148#16837279C2211yescharacteristic, complemented
149#16837278C2211yescharacteristic, complemented
150#16837278C2211yescharacteristic, complemented
151#16837277C2211yescharacteristic
152#16837276C2211yescharacteristic, complemented
153#16837275C2211yescharacteristic
154#16837275C2211yescharacteristic
155#16837275C2211yescharacteristic, complemented
156#16837275C2211yescharacteristic, complemented
157#16837274C2211yescharacteristic
158#16837274C2211yescharacteristic, complemented
159#16837269C2211yescharacteristic, complemented
160#16837266C2211yescharacteristic, complemented
161#16837265C2211yescharacteristic, complemented
162#16837265C2211yescharacteristic, complemented
163#16837263C2211yescharacteristic, complemented
164#16837260C2211yescharacteristic
165#16837260C2211yescharacteristic
166#16837260C2211yescharacteristic, complemented
167#16837258C2211yescharacteristic
168#16837257C2211yescharacteristic
169C22⋊C4×Dic59C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C24×C4×C59C2211yescharacteristic
173C2×#121×C59C2211yescharacteristic
174C2×#121×C59C2211yescharacteristic, complemented
175C2×#121×C59C2211yescharacteristic, complemented
176C2×#120×C59C2211yescharacteristic
177C2×#120×C59C2211yescharacteristic
178C59×#386C2211yescharacteristic
179C59×#386C2211yescharacteristic
180C59×#386C2211yescharacteristic, complemented
181C59×#386C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic, complemented
184C59×#380C2211yescharacteristic
185C59×#380C2211yescharacteristic, complemented
186C59×#380C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C22×D236C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×C22⋊D59—24no—
191C22×C22⋊D59—42no—
192C22×C22⋊D59—42no—
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212#14273723—42no—
213#14273723—42no—
214#14273712—42no—
215#14273710—42no—
216#14273710—42no—
217#14273708—42no—
218#14273699—24no—
219#14273699—42no—
220#14273699—42no—
221#14273699—42no—
222#14273699—42no—
223#14273698—42no—
224#14273697—42no—
225#14273696—42no—
226#14273695—42no—
227#14273695—42no—
228D4×Dic59—24no—
229D4×Dic59—42no—
230(C22⋊D59)⋊C4—42no—
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
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×C22⋊Dic59—42no—
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×(C2×D59)⋊C4—42no—
271C2×(C2×D59)⋊C4—42no—
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
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
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
332C25×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C22×D4×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C22×D4×C59C2311yescharacteristic
337C22×D4×C59C2311yescharacteristic
338C22×D4×C59C2311yescharacteristic
339C22×D4×C59C2311yescharacteristic
340C23×C4×C59—42no—
341C23×C4×C59—42no—
342C23×C4×C59—42no—
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346C23×C4×C59C2311yescharacteristic
347C23×C4×C59C2311yescharacteristic
348C23×C4×C59C2311yescharacteristic
349#121×C59—42no—
350#121×C59—42no—
351#121×C59—42no—
352#120×C59—42no—
353#120×C59—42no—
354C2×C4⋊C4×C59C2311yescharacteristic
355C2×C4⋊C4×C59C2311yescharacteristic
356C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375C24×C59—22no—
376C24×C59—22no—
377C24×C59—22no—
378C24×C59—22no—
379C24×C59—22no—
380C24×C59—41no—
381C24×C59—41no—
382C24×C59C2411yescharacteristic
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C2×D4×C59—22no—
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—22no—
403C2×D4×C59—22no—
404C2×D4×C59—22no—
405C2×D4×C59—22no—
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C2×D4×C59—41no—
417C2×D4×C59—41no—
418C22×C4×C59—22no—
419C22×C4×C59—22no—
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—22no—
424C22×C4×C59—22no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—416no—
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—41no—
462C2×C22⋊D59—41no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59—41no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59—41no—
480C2×C22⋊D59—41no—
481C2×C22⋊D59—41no—
482C2×C22⋊D59—41no—
483C2×C22⋊D59—41no—
484C2×C22⋊D59—41no—
485C2×C22⋊D59—41no—
486C2×C22⋊D59—416no—
487C22×Dic59—22no—
488C22×Dic59—22no—
489C22×Dic59—22no—
490C22×Dic59—41no—
491C22×Dic59—41no—
492C22×Dic59—41no—
493C22×Dic59—41no—
494C22×Dic59—41no—
495C22×Dic59—41no—
496C22×Dic59—41no—
497C22×Dic59—41no—
498C22×Dic59—41no—
499C22×Dic59—41no—
500C22×Dic59—41no—
501C22×Dic59#4114yes—
502C22×Dic59C2411yescharacteristic
503C22×Dic59C2411yescharacteristic
504C22×Dic59C2411yescharacteristic
505C22×Dic59C2411yescharacteristic
506C22×Dic59C2411yescharacteristic
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C22×Dic59C2411yescharacteristic
513C22×Dic59C2411yescharacteristic
514C22×Dic59C2411yescharacteristic
515C2×D236—41no—
516C2×D236—41no—
517C2×D236—41no—
518C2×D236—41no—
519C2×D236—41no—
520C2×D236—41no—
521C2×C4×D59—41no—
522C2×C4×D59—41no—
523C2×C4×D59—41no—
524C4⋊C4×C59—22no—
525C4⋊C4×C59—41no—
526C4⋊C4×C59—41no—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—41no—
530C22⋊C4×C59—41no—
531C22⋊C4×C59—41no—
532C22⋊C4×C59—41no—
533C22⋊C4×C59—41no—
534C22⋊C4×C59—41no—
535C22⋊C4×C59—41no—
536C22⋊C4×C59—41no—
537C22⋊C4×C59—41no—
538C22⋊C4×C59—41no—
539C22⋊Dic59—22no—
540C22⋊Dic59—22no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—22no—
546C22⋊Dic59—22no—
547C22⋊Dic59—22no—
548C22⋊Dic59—41no—
549C22⋊Dic59—41no—
550C22⋊Dic59—41no—
551C22⋊Dic59—41no—
552C22⋊Dic59—41no—
553C22⋊Dic59—41no—
554C22⋊Dic59—41no—
555C22⋊Dic59—41no—
556C22⋊Dic59—41no—
557C22⋊Dic59—41no—
558C22⋊Dic59—41no—
559C22⋊Dic59—41no—
560(C2×D59)⋊C4—22no—
561(C2×D59)⋊C4—22no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4—41no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4—41no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4—41no—
574(C2×D59)⋊C4—41no—
575(C2×D59)⋊C4—41no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4—41no—
581(C2×D59)⋊C4—41no—
582(C2×D59)⋊C4—41no—
583(C2×D59)⋊C4—41no—
584(C2×D59)⋊C4—41no—
585C4⋊Dic59—22no—
586C4⋊Dic59—41no—
587C4⋊Dic59—41no—
588C4⋊Dic59—41no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—41no—
592Dic59⋊C4—41no—
593Dic59⋊C4—41no—
594Dic59⋊C4—41no—
595Dic59⋊C4—41no—
596Dic59⋊C4—41no—
597Dic59⋊C4—41no—
598Dic59⋊C4—41no—
599Dic59⋊C4—41no—
600Dic59⋊C4—41no—
601Dic59⋊C4—41no—
602C4×Dic59—22no—
603C4×Dic59—41no—
604C4×Dic59—41no—
605C4×Dic59—41no—
606C4×Dic59—41no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—28no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—44no—
639C23×C59—44no—
640C23×C59—44no—
641C23×C59—44no—
642C23×C59—44no—
643C23×C59—44no—
644C23×C59C2×#4112yes—
645C23×C59H(5,𝔽2)12yes—
646C23×C59H(5,𝔽2)12yes—
647C23×C59H(5,𝔽2)12yes—
648C23×C59H(5,𝔽2)12yes—
649C23×C59C2511yescharacteristic
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—44no—
672C22×D59—44no—
673C22×D59—44no—
674C22×D59—82no—
675C22×D59—82no—
676C22×D59—82no—
677C22×D59—82no—
678D4×C59—44no—
679D4×C59—44no—
680D4×C59—82no—
681D4×C59—82no—
682D4×C59—82no—
683D4×C59—82no—
684D4×C59—82no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—44no—
715C2×C4×C59—44no—
716C2×C4×C59—44no—
717C2×C4×C59—44no—
718C2×C4×C59—44no—
719C2×C4×C59—44no—
720C2×C4×C59H(5,𝔽2)12yes—
721C22⋊D59—44no—
722C22⋊D59—44no—
723C22⋊D59—44no—
724C22⋊D59—44no—
725C22⋊D59—44no—
726C22⋊D59—82no—
727C22⋊D59—82no—
728C22⋊D59—82no—
729C22⋊D59—82no—
730C22⋊D59—82no—
731C22⋊D59—82no—
732C22⋊D59—82no—
733C22⋊D59—82no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—44no—
772C2×Dic59—82no—
773C2×Dic59—82no—
774C2×Dic59—82no—
775C2×Dic59—82no—
776C2×Dic59C2×#4112yes—
777C2×Dic59C2×#4112yes—
778D236—82no—
779D236—82no—
780C4×D59—82no—
781#36794—591nomaximal, Sylow
782C22×C59—22no—
783C22×C59—22no—
784C22×C59—22no—
785C22×C59—22no—
786C22×C59—22no—
787C22×C59—22no—
788C22×C59—22no—
789C22×C59—22no—
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—416no—
795C22×C59—41no—
796C22×C59—41no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59—41no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59#54014yes—
818C22×C59C22×#4111yescharacteristic
819C22×C59C2×H(5,𝔽2)11yescharacteristic
820C22×C59C2×H(5,𝔽2)11yescharacteristic
821C22×C59C2×H(5,𝔽2)11yescharacteristic
822C22×C59C2×H(5,𝔽2)11yescharacteristic
823C22×C59C2×H(5,𝔽2)11yescharacteristic
824C22×C59#58511yescharacteristic
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—88no—
847C4×C59—22no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853C4×C59—41no—
854C4×C59—41no—
855C4×C59—41no—
856C4×C59—41no—
857Dic59—22no—
858Dic59—22no—
859Dic59—41no—
860Dic59—41no—
861Dic59—41no—
862Dic59—41no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868Dic59—41no—
869Dic59—41no—
870#2849—591no—
871#2847D5911yescharacteristic, complemented
872#2797—591no—
873#2786—591no—
874#2756—591no—
875#2753—591no—
876#2752—591no—
877#2749—591no—
878#2740—591no—
879#2709—591no—
880#2709—591no—
881#2706—591no—
882#2703—591no—
883#2699—591no—
884#2688—591no—
885#2673—591no—
886#2673—591no—
887#2671—591no—
888#2622—591no—
889#2617—591no—
890#2569—591no—
891#2543—591no—
892#2433—591no—
893#2424—591no—
894#2424—591no—
895#2418—591no—
896#2418—591no—
897#2408—591no—
898#2325—591no—
899#2318—591no—
900C2×#386—591no—
901C2×C59—24no—
902C2×C59—42no—
903C2×C59—42no—
904C2×C59—81no—
905C2×C59—81no—
906C2×C59C2×#54011yescharacteristic
907C2×C59#349011yescharacteristic
908C2×C59#350611yescharacteristic
909C2×C59#353211yescharacteristic
910C2×C59#353411yescharacteristic
911C2×C59#353411yescharacteristic
912C2×C59#353711yescharacteristic
913D59—81no—
914D59—81no—
915D59—81no—
916C23×D4—591no—
917C24×C4C2×D5911yescharacteristic
918C2×#127—591no—
919C2×#127—591no—
920C2×#123—591no—
921C2×#123—591no—
922C2×#123—591no—
923C2×#123—591no—
924C2×#121—591no—
925C2×#121—591no—
926C2×#121—591no—
927C2×#121—591no—
928C2×#121—591no—
929C2×#121—591no—
930C2×#121C2×D5911yescharacteristic
931C2×#121C2×D5911yescharacteristic, complemented
932C2×#121C2×D5911yescharacteristic, complemented
933C2×#120—591no—
934C2×#120—591no—
935C2×#120—591no—
936C2×#120—591no—
937C2×#120C2×D5911yescharacteristic
938C2×#120C2×D5911yescharacteristic
939C2×C4×D4—591no—
940C2×C4×D4—591no—
941C2×C4×D4—591no—
942C22×C22⋊C4—591no—
943C22×C22⋊C4—591no—
944C22×C22⋊C4—591no—
945#400—591no—
946#400—591no—
947#399—591no—
948#399—591no—
949#398—591no—
950#398—591no—
951#398—591no—
952#397—591no—
953#397—591no—
954#397—591no—
955#397—591no—
956#397—591no—
957#397—591no—
958#397—591no—
959#397—591no—
960#397—591no—
961#396—591no—
962#396—591no—
963#394—591no—
964#394—591no—
965#394—591no—
966#394—591no—
967#394—591no—
968#394—591no—
969#394—591no—
970#394—591no—
971#394—591no—
972#394—591no—
973#394—591no—
974#394—591no—
975#394—591no—
976#394—591no—
977#394—591no—
978#394—591no—
979#394—591no—
980#394—591no—
981#394—591no—
982#392—591no—
983#392—591no—
984#392—591no—
985#392—591no—
986#392—591no—
987#392—591no—
988#392—591no—
989#392—591no—
990#392—591no—
991#392—591no—
992#392—591no—
993#390—591no—
994#390—591no—
995#390—591no—
996#390—591no—
997#390—591no—
998#390—591no—
999#388—591no—
1000#388—591no—
1001#388—591no—
1002#388—591no—
1003#388—591no—
1004#388—591no—
1005#388—591no—
1006#388—591no—
1007#388—591no—
1008#388—591no—
1009#388—591no—
1010#388—591no—
1011#387—591no—
1012#387—591no—
1013#387—591no—
1014#387—591no—
1015#387—591no—
1016#387—591no—
1017#387—591no—
1018#387—591no—
1019#386—591no—
1020#386—591no—
1021#386—591no—
1022#386—591no—
1023#386—591no—
1024#386—591no—
1025#386—591no—
1026#386—591no—
1027#386—591no—
1028#386—591no—
1029#386—591no—
1030#386—591no—
1031#386—591no—
1032#386—591no—
1033#386—591no—
1034#386—591no—
1035#386—591no—
1036#386—591no—
1037#386—591no—
1038#386—591no—
1039#386—591no—
1040#386—591no—
1041#386C2×D5911yescharacteristic
1042#386C2×D5911yescharacteristic
1043#386C2×D5911yescharacteristic, complemented
1044#386C2×D5911yescharacteristic, complemented
1045#386C2×D5911yescharacteristic, complemented
1046#386C2×D5911yescharacteristic, complemented
1047#385—591no—
1048#385—591no—
1049#385—591no—
1050#385—591no—
1051#385—591no—
1052#385—591no—
1053#385—591no—
1054#385—591no—
1055#383—591no—
1056#382—591no—
1057#381—591no—
1058#381—591no—
1059#381—591no—
1060#380—591no—
1061#380—591no—
1062#380—591no—
1063#380C2×D5911yescharacteristic
1064#380C2×D5911yescharacteristic, complemented
1065#380C2×D5911yescharacteristic, complemented
1066#379—591no—
1067#379—591no—
1068C4×C22⋊C4—591no—
1069C2×#95—591no—
1070C2×#95—591no—
1071C59#3679411yescharacteristic, complemented, Sylow
1072C25—591no—
1073C25C22×D5911yescharacteristic
1074C22×D4—591no—
1075C22×D4—591no—
1076C22×D4—591no—
1077C22×D4—591no—
1078C22×D4—591no—
1079C22×D4—591no—
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—591no—
1084C22×D4—591no—
1085C22×D4—591no—
1086C22×D4—591no—
1087C22×D4—591no—
1088C22×D4—591no—
1089C22×D4—1184no—
1090C22×D4—2362no—
1091C22×D4—2362no—
1092C22×D4C22×D5911yescharacteristic
1093C22×D4C22×D5911yescharacteristic
1094C22×D4C22×D5911yescharacteristic
1095C22×D4C22×D5911yescharacteristic
1096C22×D4C22×D5911yescharacteristic
1097C22×D4C22×D5911yescharacteristic
1098C22×D4C22×D5911yescharacteristic
1099C23×C4—42no—
1100C23×C4—42no—
1101C23×C4—42no—
1102C23×C4—591no—
1103C23×C4—591no—
1104C23×C4—591no—
1105C23×C4—591no—
1106C23×C4—591no—
1107C23×C4—591no—
1108C23×C4C22×D5911yescharacteristic
1109C23×C4C22×D5911yescharacteristic
1110C23×C4C22×D5911yescharacteristic
1111C23×C4C22×D5911yescharacteristic
1112C23×C4C22×D5911yescharacteristic
1113C23×C4C22×D5911yescharacteristic
1114#127—2362no—
1115#127—2362no—
1116#123—2362no—
1117#123—2362no—
1118#123—2362no—
1119#123—2362no—
1120#121—42no—
1121#121—42no—
1122#121—42no—
1123#121—1184no—
1124#121—2362no—
1125#121—2362no—
1126#121—2362no—
1127#121—2362no—
1128#121—2362no—
1129#120—42no—
1130#120—42no—
1131#120—2362no—
1132#120—2362no—
1133#120—2362no—
1134#120—2362no—
1135C4×D4—1184no—
1136C4×D4—2362no—
1137C4×D4—2362no—
1138C2×C4⋊C4—591no—
1139C2×C4⋊C4—591no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—591no—
1142C2×C4⋊C4—591no—
1143C2×C4⋊C4—591no—
1144C2×C4⋊C4—591no—
1145C2×C4⋊C4—591no—
1146C2×C4⋊C4—591no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
1151C2×C4⋊C4—591no—
1152C2×C4⋊C4—591no—
1153C2×C4⋊C4—591no—
1154C2×C4⋊C4—591no—
1155C2×C4⋊C4C22×D5911yescharacteristic
1156C2×C4⋊C4C22×D5911yescharacteristic
1157C2×C4⋊C4C22×D5911yescharacteristic
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—591no—
1204C2×C22⋊C4—2362no—
1205C2×C22⋊C4—2362no—
1206C2×C22⋊C4—2362no—
1207C2×C22⋊C4C22×D5911yescharacteristic
1208C2×C22⋊C4C22×D5911yescharacteristic
1209C2×C22⋊C4C22×D5911yescharacteristic
1210C2×C22⋊C4C22×D5911yescharacteristic
1211C2×C22⋊C4C22×D5911yescharacteristic
1212C2×C22⋊C4C22×D5911yescharacteristic
1213C2×C22⋊C4C22×D5911yescharacteristic
1214C2×C22⋊C4C22×D5911yescharacteristic
1215C2×C22⋊C4C22×D5911yescharacteristic
1216C2×C22⋊C4C22×D5911yescharacteristic
1217C2×C22⋊C4C22×D5911yescharacteristic
1218C2×C22⋊C4C22×D5911yescharacteristic
1219C2×C42—591no—
1220C2×C42—591no—
1221C2×C42—591no—
1222C2×C42—591no—
1223C2×C42—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253#95—591no—
1254#95C22×D5911yescharacteristic
1255#95C22×D5911yescharacteristic
1256#95C22×D5911yescharacteristic
1257#95C22×D5911yescharacteristic
1258#95C22×D5911yescharacteristic
1259#95C22×D5911yescharacteristic
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—41no—
1266C24—41no—
1267C24—591no—
1268C24—591no—
1269C24—591no—
1270C24—1182no—
1271C24—1182no—
1272C24—1182no—
1273C24—2361no—
1274C24—2361no—
1275C24—2361no—
1276C24—2361no—
1277C24C23×D5911yescharacteristic
1278C24C23×D5911yescharacteristic
1279C24C23×D5911yescharacteristic
1280C24C23×D5911yescharacteristic
1281C24C23×D5911yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—1182no—
1304C2×D4—1182no—
1305C2×D4—1182no—
1306C2×D4—1182no—
1307C2×D4—1182no—
1308C2×D4—1182no—
1309C2×D4—1182no—
1310C2×D4—1182no—
1311C2×D4—1182no—
1312C2×D4—1182no—
1313C2×D4—1182no—
1314C2×D4—1182no—
1315C2×D4—1182no—
1316C2×D4—1182no—
1317C2×D4—2361no—
1318C2×D4—2361no—
1319C2×D4—2361no—
1320C2×D4—2361no—
1321C2×D4—2361no—
1322C2×D4—2361no—
1323C2×D4—2361no—
1324C2×D4—2361no—
1325C2×D4—2361no—
1326C2×D4—2361no—
1327C2×D4—2361no—
1328C2×D4—2361no—
1329C2×D4—2361no—
1330C2×D4—2361no—
1331C2×D4—2361no—
1332C2×D4—2361no—
1333C2×D4—2361no—
1334C2×D4—2361no—
1335C2×D4—2361no—
1336C2×D4—2361no—
1337C2×D4—2361no—
1338C2×D4—2361no—
1339C2×D4—2361no—
1340C2×D4—2361no—
1341C2×D4—2361no—
1342C2×D4—2361no—
1343C2×D4—2361no—
1344C2×D4—2361no—
1345C2×D4—2361no—
1346C2×D4—2361no—
1347C2×D4—2361no—
1348C2×D4—23616no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—41no—
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—416no—
1368C22×C4—591no—
1369C22×C4—591no—
1370C22×C4—594no—
1371C22×C4—591no—
1372C22×C4—591no—
1373C22×C4—591no—
1374C22×C4—591no—
1375C22×C4—591no—
1376C22×C4—591no—
1377C22×C4—591no—
1378C22×C4—591no—
1379C22×C4—591no—
1380C22×C4—591no—
1381C22×C4—591no—
1382C22×C4—1182no—
1383C22×C4—1182no—
1384C22×C4—1182no—
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×C4C23×D5911yescharacteristic
1400C22×C4C23×D5911yescharacteristic
1401C22×C4C23×D5911yescharacteristic
1402C22×C4C23×D5911yescharacteristic
1403C22×C4C23×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405C22×C4C23×D5911yescharacteristic
1406C22×C4C23×D5911yescharacteristic
1407C22×C4C23×D5911yescharacteristic
1408C22×C4C23×D5911yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—1182no—
1413C4⋊C4—1182no—
1414C4⋊C4—1182no—
1415C4⋊C4—2361no—
1416C4⋊C4—2361no—
1417C4⋊C4—2361no—
1418C4⋊C4—2361no—
1419C4⋊C4—2361no—
1420C4⋊C4—2361no—
1421C4⋊C4—2361no—
1422C4⋊C4—2361no—
1423C4⋊C4—2361no—
1424C4⋊C4—2361no—
1425C4⋊C4—2361no—
1426C4⋊C4—2361no—
1427C4⋊C4—2361no—
1428C4⋊C4—2361no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—1182no—
1442C22⋊C4—1182no—
1443C22⋊C4—1182no—
1444C22⋊C4—1182no—
1445C22⋊C4—1182no—
1446C22⋊C4—1182no—
1447C22⋊C4—1182no—
1448C22⋊C4—1182no—
1449C22⋊C4—1182no—
1450C22⋊C4—1182no—
1451C22⋊C4—1182no—
1452C22⋊C4—1182no—
1453C22⋊C4—1182no—
1454C22⋊C4—2361no—
1455C22⋊C4—2361no—
1456C22⋊C4—2361no—
1457C22⋊C4—2361no—
1458C22⋊C4—2361no—
1459C22⋊C4—2361no—
1460C22⋊C4—2361no—
1461C22⋊C4—2361no—
1462C22⋊C4—2361no—
1463C22⋊C4—2361no—
1464C22⋊C4—2361no—
1465C22⋊C4—2361no—
1466C22⋊C4—2361no—
1467C22⋊C4—2361no—
1468C22⋊C4—2361no—
1469C22⋊C4—2361no—
1470C22⋊C4—2361no—
1471C22⋊C4—2361no—
1472C22⋊C4—2361no—
1473C22⋊C4—2361no—
1474C22⋊C4—2361no—
1475C22⋊C4—2361no—
1476C22⋊C4—2361no—
1477C22⋊C4—2361no—
1478C22⋊C4—2361no—
1479C22⋊C4—2361no—
1480C22⋊C4—2361no—
1481C22⋊C4—2361no—
1482C22⋊C4—2361no—
1483C22⋊C4—2361no—
1484C22⋊C4—2361no—
1485C22⋊C4—2361no—
1486C22⋊C4—2361no—
1487C42—1182no—
1488C42—2361no—
1489C42—2361no—
1490C42—2361no—
1491C42—2361no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—28no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—44no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—44no—
1529C23—1181no—
1530C23—1181no—
1531C23—1181no—
1532C23—1181no—
1533C23—1181no—
1534C23—1181no—
1535C23—1181no—
1536C23—1181no—
1537C23—1181no—
1538C23—1181no—
1539C23—1181no—
1540C23—1181no—
1541C23—1181no—
1542C23—1181no—
1543C23—1181no—
1544C23—1181no—
1545C23—1181no—
1546C23—1181no—
1547C23—1181no—
1548C23—1181no—
1549C23—1181no—
1550C23—4722no—
1551C23—4722no—
1552C23—4722no—
1553C23—4722no—
1554C23—2364no—
1555C23—2364no—
1556C23—2364no—
1557C23#41×D5912yes—
1558C23#1427377212yes—
1559C23#1427377212yes—
1560C23#1427377212yes—
1561C23#1427377312yes—
1562C23C24×D5911yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—82no—
1566D4—82no—
1567D4—82no—
1568D4—82no—
1569D4—82no—
1570D4—4722no—
1571D4—4722no—
1572D4—4722no—
1573D4—4722no—
1574D4—4722no—
1575D4—4722no—
1576D4—4722no—
1577D4—4722no—
1578D4—4722no—
1579D4—4722no—
1580D4—2364no—
1581D4—2364no—
1582D4—2364no—
1583D4—2364no—
1584D4—2364no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—592no—
1621C2×C4—592no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—1181no—
1653C2×C4—1181no—
1654C2×C4—1181no—
1655C2×C4—1181no—
1656C2×C4—1181no—
1657C2×C4—1181no—
1658C2×C4—1181no—
1659C2×C4—4722no—
1660C2×C4—4722no—
1661C2×C4—4722no—
1662C2×C4—4722no—
1663C2×C4—4722no—
1664C2×C4—2364no—
1665C2×C4#1427377212yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—416no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—4728no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22—2361no—
1708C22—2361no—
1709C22—2361no—
1710C22—2361no—
1711C22—2361no—
1712C22—2361no—
1713C22—2361no—
1714C22—2361no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22—2361no—
1719C22—2361no—
1720C22—2361no—
1721C22—2361no—
1722C22—2361no—
1723C22#1683800214yes—
1724C22C2×#41×D5911yescharacteristic
1725C22C2×#1427377211yescharacteristic
1726C22C2×#1427377211yescharacteristic
1727C22C2×#1427377211yescharacteristic
1728C22C2×#1427377211yescharacteristic
1729C22C2×#1427377311yescharacteristic
1730C22#1683823811yescharacteristic
1731C4—22no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—1182no—
1742C4—1182no—
1743C4—2361no—
1744C4—2361no—
1745C4—2361no—
1746C4—2361no—
1747C4—2361no—
1748C4—2361no—
1749C4—2361no—
1750C4—2361no—
1751C4—2361no—
1752C4—2361no—
1753C4—2361no—
1754C2—24no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—81no—
1759C2—4721no—
1760C2—4721no—
1761C2—4721no—
1762C2C2×#1683800211yescharacteristic
1763C2#2143777911yescharacteristic
1764C2#2143793911yescharacteristic
1765C2#2143825111yescharacteristic
1766C2#2143828011yescharacteristic
1767C2#2143828611yescharacteristic
1768C2#2143833111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2847C2
hypercenter#2847D59
hypocenterC59#36794
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. #21432388C2semidirect
2. #21431949C2semidirect
3. #21431808C2semidirect
4. #21431419C2semidirect
5. #21431376C2semidirect
6. #21431363C2semidirect
7. #21431319C2semidirect
8. #21431192C2semidirect
9. #21430827C2semidirect
10. #21430826C2semidirect
11. #21430784C2semidirect
12. #21430740C2semidirect
13. #21430679C2semidirect
14. #21430530C2semidirect
15. #21430358C2semidirect
16. #21430357C2semidirect
17. #21430326C2semidirect
18. #21429873C2semidirect
19. #21429836C2semidirect
20. #21429317C2semidirect
21. #21429054C2semidirect
22. #21427731C2semidirect
23. #21427638C2semidirect
24. #21427628C2semidirect
25. #21427564C2semidirect
26. #21427554C2semidirect
27. #21427449C2semidirect
28. #21426797C2semidirect
29. #21426722C2semidirect
30. C2×#16837281C2semidirect
31. C59×#2847C2semidirect
35. C2×#14273712C22semidirect
36. C2×#14273710C22semidirect
37. C2×#14273710C22semidirect
38. C2×#14273708C22semidirect
43. C2×#14273699C22semidirect
44. C2×#14273698C22semidirect
55. #16837343C22semidirect
56. #16837342C22semidirect
57. #16837338C22semidirect
58. #16837337C22semidirect
59. #16837335C22semidirect
60. #16837335C22semidirect
61. #16837333C22semidirect
62. #16837331C22semidirect
63. #16837331C22semidirect
64. #16837331C22semidirect
65. #16837331C22semidirect
66. #16837331C22semidirect
67. #16837330C22semidirect
68. #16837329C22semidirect
69. #16837329C22semidirect
70. #16837327C22semidirect
71. #16837325C22semidirect
72. #16837324C22semidirect
73. #16837320C22semidirect
74. #16837320C22semidirect
75. #16837320C22semidirect
76. #16837319C22semidirect
79. #16837318C22semidirect
80. #16837318C22semidirect
81. #16837318C22semidirect
82. #16837318C22semidirect
83. #16837318C22semidirect
84. #16837317C22semidirect
85. #16837317C22semidirect
86. #16837317C22semidirect
87. #16837317C22semidirect
88. #16837317C22semidirect
89. #16837316C22semidirect
90. #16837316C22semidirect
91. #16837316C22semidirect
94. #16837311C22semidirect
95. #16837311C22semidirect
100. #16837310C22semidirect
101. #16837310C22semidirect
102. #16837310C22semidirect
103. #16837305C22semidirect
108. #16837302C22semidirect
109. #16837296C22semidirect
110. #16837296C22semidirect
111. #16837296C22semidirect
112. #16837292C22semidirect
113. #16837292C22semidirect
114. #16837292C22semidirect
115. #16837291C22semidirect
116. #16837291C22semidirect
117. #16837290C22semidirect
118. #16837290C22semidirect
119. #16837290C22semidirect
120. #16837290C22semidirect
121. #16837289C22semidirect
122. #16837288C22semidirect
123. #16837287C22semidirect
124. #16837287C22semidirect
125. #16837285C22semidirect
126. #16837284C22semidirect
127. #16837284C22semidirect
128. #16837283C22semidirect
131. #16837282C22semidirect
132. #16837282C22semidirect
143. #16837281C22semidirect
144. #16837281C22semidirect
145. #16837280C22semidirect
146. #16837279C22semidirect
147. #16837279C22semidirect
148. #16837279C22semidirect
149. #16837278C22semidirect
150. #16837278C22semidirect
152. #16837276C22semidirect
155. #16837275C22semidirect
156. #16837275C22semidirect
158. #16837274C22semidirect
159. #16837269C22semidirect
160. #16837266C22semidirect
161. #16837265C22semidirect
162. #16837265C22semidirect
163. #16837263C22semidirect
166. #16837260C22semidirect
174. C2×#121×C59C22semidirect
175. C2×#121×C59C22semidirect
180. C59×#386C22semidirect
181. C59×#386C22semidirect
182. C59×#386C22semidirect
183. C59×#386C22semidirect
185. C59×#380C22semidirect
186. C59×#380C22semidirect
871. #2847D59semidirect
931. C2×#121C2×D59semidirect
932. C2×#121C2×D59semidirect
1043. #386C2×D59semidirect
1044. #386C2×D59semidirect
1045. #386C2×D59semidirect
1046. #386C2×D59semidirect
1064. #380C2×D59semidirect
1065. #380C2×D59semidirect
1071. C59#36794semidirect

Maximal subgroups

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

subgroupindex
#214323882
#214319492
#214318082
#214314192
#214313762
#214313632
#214313192
#214311922
#214308272
#214308262
#214307842
#214307402
#214306792
#214305302
#214303582
#214303572
#214303262
#214298732
#214298362
#214293172
#214290542
#214277312
#214276382
#214276282
#214275642
#214275542
#214274492
#214267972
#214267222
C2×#168372812
C59×#28472
#3679459