Finite Group Databasebeta

← #28797536

Subgroups — #28797536

Order 15104.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432385C211yesmaximal, characteristic, complemented
2#21432380C211yesmaximal, characteristic, complemented
3#21431945C211yesmaximal, characteristic, complemented
4#21431485C211yesmaximal, characteristic, complemented
5#21431431C211yesmaximal, characteristic, complemented
6#21431347C211yesmaximal, characteristic, complemented
7#21431155C211yesmaximal, characteristic, complemented
8#21431089C211yesmaximal, characteristic, complemented
9#21431020C211yesmaximal, characteristic, complemented
10#21430914C211yesmaximal, characteristic, complemented
11#21430869C211yesmaximal, characteristic, complemented
12#21430844C211yesmaximal, characteristic, complemented
13#21430765C211yesmaximal, characteristic, complemented
14#21430705C211yesmaximal, characteristic, complemented
15#21430690C211yesmaximal, characteristic, complemented
16#21430577C211yesmaximal, characteristic, complemented
17#21430506C211yesmaximal, characteristic, complemented
18#21429902C211yesmaximal, characteristic, complemented
19#21429868C211yesmaximal, characteristic, complemented
20#21429281C211yesmaximal, characteristic, complemented
21#21429101C211yesmaximal, characteristic, complemented
22#21428348C211yesmaximal, characteristic, complemented
23#21428345C211yesmaximal, characteristic, complemented
24#21428223C211yesmaximal, characteristic, complemented
25#21428218C211yesmaximal, characteristic, complemented
26#21427742C211yesmaximal, characteristic, complemented
27#21427448C211yesmaximal, characteristic
28#21426830C211yesmaximal, characteristic, complemented
29#21426731C211yesmaximal, characteristic, complemented
30#386×D59C211yesmaximal, characteristic, complemented
31C59×#2672C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273722C2211yescharacteristic, complemented
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273713C2211yescharacteristic
37C2×#14273713C2211yescharacteristic
38C2×#14273713C2211yescharacteristic, complemented
39C2×#14273708C2211yescharacteristic, complemented
40C2×#14273707C2211yescharacteristic
41C2×#14273705C2211yescharacteristic
42C2×#14273703C2211yescharacteristic
43C2×#14273703C2211yescharacteristic, complemented
44C2×#14273701C2211yescharacteristic
45C2×#14273695C2211yescharacteristic
46C2×#14273695C2211yescharacteristic
47C2×C4×C22⋊D59C2211yescharacteristic
48C2×C22⋊C4×D59C2211yescharacteristic
49C2×C22⋊C4×D59C2211yescharacteristic
50C2×C22⋊C4×D59C2211yescharacteristic
51#16837343C2211yescharacteristic, complemented
52#16837338C2211yescharacteristic, complemented
53#16837337C2211yescharacteristic, complemented
54#16837335C2211yescharacteristic, complemented
55#16837334C2211yescharacteristic, complemented
56#16837331C2211yescharacteristic, complemented
57#16837331C2211yescharacteristic, complemented
58#16837331C2211yescharacteristic, complemented
59#16837331C2211yescharacteristic, complemented
60#16837330C2211yescharacteristic, complemented
61#16837330C2211yescharacteristic, complemented
62#16837330C2211yescharacteristic, complemented
63#16837329C2211yescharacteristic, complemented
64#16837328C2211yescharacteristic, complemented
65#16837328C2211yescharacteristic, complemented
66#16837327C2211yescharacteristic, complemented
67#16837327C2211yescharacteristic, complemented
68#16837325C2211yescharacteristic, complemented
69#16837325C2211yescharacteristic, complemented
70#16837325C2211yescharacteristic, complemented
71#16837324C2211yescharacteristic, complemented
72#16837324C2211yescharacteristic, complemented
73#16837323C2211yescharacteristic, complemented
74#16837322C2211yescharacteristic, complemented
75#16837320C2211yescharacteristic
76#16837319C2211yescharacteristic
77#16837318C2211yescharacteristic, complemented
78#16837318C2211yescharacteristic, complemented
79#16837318C2211yescharacteristic, complemented
80#16837317C2211yescharacteristic
81#16837317C2211yescharacteristic
82#16837317C2211yescharacteristic, complemented
83#16837316C2211yescharacteristic
84#16837316C2211yescharacteristic, complemented
85#16837316C2211yescharacteristic, complemented
86#16837315C2211yescharacteristic, complemented
87#16837314C2211yescharacteristic, complemented
88#16837314C2211yescharacteristic, complemented
89#16837314C2211yescharacteristic, complemented
90#16837313C2211yescharacteristic, complemented
91#16837310C2211yescharacteristic
92#16837310C2211yescharacteristic
93#16837309C2211yescharacteristic, complemented
94#16837307C2211yescharacteristic, complemented
95#16837306C2211yescharacteristic, complemented
96#16837306C2211yescharacteristic, complemented
97#16837305C2211yescharacteristic
98#16837305C2211yescharacteristic, complemented
99#16837303C2211yescharacteristic
100#16837302C2211yescharacteristic
101#16837302C2211yescharacteristic
102#16837302C2211yescharacteristic, complemented
103#16837301C2211yescharacteristic, complemented
104#16837297C2211yescharacteristic, complemented
105#16837297C2211yescharacteristic, complemented
106#16837296C2211yescharacteristic, complemented
107#16837296C2211yescharacteristic, complemented
108#16837296C2211yescharacteristic, complemented
109#16837295C2211yescharacteristic, complemented
110#16837295C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic, complemented
113#16837292C2211yescharacteristic, complemented
114#16837292C2211yescharacteristic, complemented
115#16837290C2211yescharacteristic, complemented
116#16837290C2211yescharacteristic, complemented
117#16837289C2211yescharacteristic, complemented
118#16837288C2211yescharacteristic, complemented
119#16837287C2211yescharacteristic, complemented
120#16837286C2211yescharacteristic, complemented
121#16837283C2211yescharacteristic, complemented
122#16837283C2211yescharacteristic, complemented
123#16837283C2211yescharacteristic, complemented
124#16837283C2211yescharacteristic, complemented
125#16837282C2211yescharacteristic
126#16837281C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837279C2211yescharacteristic
130#16837278C2211yescharacteristic
131#16837278C2211yescharacteristic
132#16837278C2211yescharacteristic
133#16837278C2211yescharacteristic
134#16837278C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic, complemented
137#16837278C2211yescharacteristic, complemented
138#16837276C2211yescharacteristic
139#16837275C2211yescharacteristic, complemented
140#16837274C2211yescharacteristic, complemented
141#16837274C2211yescharacteristic, complemented
142#16837273C2211yescharacteristic
143#16837273C2211yescharacteristic
144#16837273C2211yescharacteristic
145#16837273C2211yescharacteristic
146#16837273C2211yescharacteristic
147#16837273C2211yescharacteristic, complemented
148#16837273C2211yescharacteristic, complemented
149#16837273C2211yescharacteristic, complemented
150#16837273C2211yescharacteristic, complemented
151#16837269C2211yescharacteristic, complemented
152#16837266C2211yescharacteristic, complemented
153#16837265C2211yescharacteristic, complemented
154#16837265C2211yescharacteristic, complemented
155#16837263C2211yescharacteristic, complemented
156#16837262C2211yescharacteristic, complemented
157#16837261C2211yescharacteristic
158#16837259C2211yescharacteristic
159#16837259C2211yescharacteristic
160#16837259C2211yescharacteristic, complemented
161#16837257C2211yescharacteristic
162#16837257C2211yescharacteristic
163#16837257C2211yescharacteristic
164#16837257C2211yescharacteristic
165#16837257C2211yescharacteristic
166#16837257C2211yescharacteristic
167C4×(C2×D59)⋊C4C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C2×#124×C59C2211yescharacteristic, complemented
173C2×#123×C59C2211yescharacteristic, complemented
174C2×C22⋊Q8×C59C2211yescharacteristic, complemented
175C2×#121×C59C2211yescharacteristic
176C59×#399C2211yescharacteristic, complemented
177C59×#396C2211yescharacteristic, complemented
178C59×#395C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic
180C59×#394C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#389C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#385C2211yescharacteristic, complemented
186C59×#380C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C2×D4×D59—24no—
198C2×D4×D59—42no—
199C2×D4×D59—42no—
200C23×Dic59C2311yescharacteristic
201C22×C4×D59—42no—
202C22×C4×D59—42no—
203C22×C4×D59—42no—
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211#14273722—42no—
212#14273722—42no—
213#14273713—42no—
214#14273713—42no—
215#14273713—42no—
216#14273708—42no—
217#14273707—42no—
218#14273705—24no—
219#14273703—42no—
220#14273703—42no—
221#14273701—42no—
222#14273695—42no—
223#14273695—42no—
224C4×C22⋊D59—24no—
225C2×C4⋊Dic59C2311yescharacteristic
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×C4⋊Dic59C2311yescharacteristic
230C2×C4⋊Dic59C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C22⋊C4×D59—42no—
288C22⋊C4×D59—42no—
289C22⋊C4×D59—42no—
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
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
330C22×Q8×C59C2311yescharacteristic
331C22×D4×C59C2311yescharacteristic
332C22×D4×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336#124×C59—42no—
337#123×C59—42no—
338C22⋊Q8×C59—42no—
339#121×C59—42no—
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59C2411yescharacteristic
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—22no—
376C23×D59—22no—
377C23×D59—22no—
378C23×D59—22no—
379C23×D59—22no—
380C23×D59—41no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59—41no—
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×Q8×C59—22no—
390C2×Q8×C59—41no—
391C2×Q8×C59—41no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C22×C4×C59—22no—
402C22×C4×C59—22no—
403C22×C4×C59—22no—
404C22×C4×C59—41no—
405C22×C4×C59—41no—
406C22×C4×C59—41no—
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
418C22×C4×C59C2411yescharacteristic
419C2×C22⋊D59—22no—
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—22no—
423C2×C22⋊D59—22no—
424C2×C22⋊D59—22no—
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—41no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C22×Dic59—22no—
435C22×Dic59—41no—
436C22×Dic59—41no—
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450D4×D59—416no—
451C2×D236—22no—
452C2×D236—22no—
453C2×D236—41no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
456C2×C4×D59—22no—
457C2×C4×D59—22no—
458C2×C4×D59—22no—
459C2×C4×D59—22no—
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—416no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59#4114yes—
476C2×Dic118—22no—
477C2×Dic118—41no—
478C2×Dic118—41no—
479C2×Dic118—41no—
480C2×Dic118—41no—
481C2×Dic118—41no—
482C4⋊C4×C59—22no—
483C4⋊C4×C59—22no—
484C4⋊C4×C59—41no—
485C4⋊C4×C59—41no—
486C4⋊C4×C59—41no—
487C4⋊C4×C59—41no—
488C4⋊C4×C59—41no—
489C4⋊C4×C59—41no—
490C4⋊C4×C59—41no—
491C22⋊C4×C59—22no—
492C22⋊C4×C59—22no—
493C22⋊C4×C59—22no—
494C22⋊C4×C59—22no—
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×C59—41no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C42×C59—41no—
505C22⋊Dic59—22no—
506C22⋊Dic59—22no—
507C22⋊Dic59—41no—
508C22⋊Dic59—41no—
509C22⋊Dic59—41no—
510C22⋊Dic59—41no—
511C22⋊Dic59—41no—
512C22⋊Dic59—41no—
513C22⋊Dic59—41no—
514C22⋊Dic59—41no—
515C22⋊Dic59—41no—
516C22⋊Dic59—41no—
517C22⋊Dic59—41no—
518C22⋊Dic59—41no—
519C22⋊Dic59—41no—
520C22⋊Dic59—41no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
525(C2×D59)⋊C4—22no—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—22no—
532(C2×D59)⋊C4—22no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548C4⋊Dic59—22no—
549C4⋊Dic59—41no—
550C4⋊Dic59—41no—
551C4⋊Dic59—41no—
552C4⋊Dic59—41no—
553C4⋊Dic59—41no—
554Dic59⋊C4—22no—
555Dic59⋊C4—22no—
556Dic59⋊C4—22no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559Dic59⋊C4—41no—
560Dic59⋊C4—41no—
561Dic59⋊C4—41no—
562Dic59⋊C4—41no—
563Dic59⋊C4—41no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567C4×Dic59—22no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C4×Dic59—41no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
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×C59H(5,𝔽2)12yes—
594C23×C59C2511yescharacteristic
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—28no—
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—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—44no—
614C22×D59—44no—
615C22×D59—44no—
616C22×D59—44no—
617C22×D59—44no—
618C22×D59—44no—
619C22×D59—44no—
620C22×D59—44no—
621C22×D59—44no—
622C22×D59—82no—
623C22×D59—82no—
624C22×D59—82no—
625C22×D59—82no—
626C22×D59C2×#4112yes—
627C22×D59H(5,𝔽2)12yes—
628C22×D59H(5,𝔽2)12yes—
629C22×D592−1+412yes—
630Q8×C59—82no—
631D4×C59—44no—
632D4×C59—82no—
633D4×C59—82no—
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—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—44no—
669C2×C4×C59—82no—
670C2×C4×C59C2×#4112yes—
671C2×C4×C59H(5,𝔽2)12yes—
672C22⋊D59—44no—
673C22⋊D59—44no—
674C22⋊D59—44no—
675C22⋊D59—82no—
676C22⋊D59—82no—
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—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—44no—
716C2×Dic59C2×#4112yes—
717D236—44no—
718C4×D59—44no—
719C4×D59—44no—
720C4×D59—44no—
721C4×D59—44no—
722C4×D59—44no—
723C4×D59—82no—
724C4×D59—82no—
725Dic118—82no—
726Dic118—82no—
727#36793—591nomaximal, Sylow
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×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59C22×#4111yescharacteristic
750C22×C59C2×H(5,𝔽2)11yescharacteristic
751C22×C59C2×H(5,𝔽2)11yescharacteristic
752C22×C59C2×H(5,𝔽2)11yescharacteristic
753C22×C59C2×H(5,𝔽2)11yescharacteristic
754C22×C59C2×2−1+411yescharacteristic
755C22×C59#58511yescharacteristic
756C2×D59—22no—
757C2×D59—22no—
758C2×D59—22no—
759C2×D59—22no—
760C2×D59—22no—
761C2×D59—22no—
762C2×D59—22no—
763C2×D59—22no—
764C2×D59—22no—
765C2×D59—416no—
766C2×D59—41no—
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C2×D59—41no—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—88no—
778C2×D59#54214yes—
779C4×C59—22no—
780C4×C59—22no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789C4×C59—41no—
790C4×C59—41no—
791Dic59—22no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59—41no—
799Dic59—41no—
800Dic59—41no—
801Dic59—41no—
802Dic59—41no—
803Dic59—41no—
804#2849—591no—
805#2848—591no—
806#2796—591no—
807#2761—591no—
808#2757—591no—
809#2751—591no—
810#2737—591no—
811#2730—591no—
812#2723—591no—
813#2715—591no—
814#2712—591no—
815#2710—591no—
816#2705—591no—
817#2701—591no—
818#2700—591no—
819#2691—591no—
820#2686—591no—
821#2672D5911yescharacteristic, complemented
822#2626—591no—
823#2622—591no—
824#2564—591no—
825#2549—591no—
826#2480—591no—
827#2480—591no—
828#2472—591no—
829#2472—591no—
830#2435—591no—
831#2408—591no—
832#2329—591no—
833#2318—591no—
834C2×#386—591no—
835C2×C59—42no—
836C2×C59—81no—
837C2×C59—81no—
838C2×C59C2×#54211yescharacteristic
839C2×C59#349011yescharacteristic
840C2×C59#350611yescharacteristic
841C2×C59#353211yescharacteristic
842C2×C59#353411yescharacteristic
843C2×C59#353511yescharacteristic
844C2×C59#353611yescharacteristic
845D59—24no—
846D59—42no—
847D59—81no—
848C23×D4—591no—
849C24×C4—591no—
850C2×#126—591no—
851C2×#126—591no—
852C2×#124—591no—
853C2×#124—591no—
854C2×#124—591no—
855C2×#124C2×D5911yescharacteristic, complemented
856C2×#123—591no—
857C2×#123C2×D5911yescharacteristic, complemented
858C2×C22⋊Q8—591no—
859C2×C22⋊Q8—591no—
860C2×C22⋊Q8—591no—
861C2×C22⋊Q8—591no—
862C2×C22⋊Q8C2×D5911yescharacteristic, complemented
863C2×#121—591no—
864C2×#121C2×D5911yescharacteristic
865C2×#120—591no—
866C2×#120—591no—
867C2×C4×D4—591no—
868C22×C22⋊C4—591no—
869C22×C22⋊C4—591no—
870C22×C22⋊C4—591no—
871#400—591no—
872#399—591no—
873#399—591no—
874#399C2×D5911yescharacteristic, complemented
875#398—591no—
876#398—591no—
877#397—591no—
878#397—591no—
879#397—591no—
880#397—591no—
881#397—591no—
882#397—591no—
883#397—591no—
884#397—591no—
885#397—591no—
886#397—591no—
887#397—591no—
888#397—591no—
889#396—591no—
890#396—591no—
891#396—591no—
892#396—591no—
893#396—591no—
894#396C2×D5911yescharacteristic, complemented
895#395—591no—
896#395—591no—
897#395C2×D5911yescharacteristic, complemented
898#394—591no—
899#394—591no—
900#394—591no—
901#394—591no—
902#394—591no—
903#394—591no—
904#394—591no—
905#394—591no—
906#394—591no—
907#394—591no—
908#394—591no—
909#394C2×D5911yescharacteristic
910#394C2×D5911yescharacteristic, complemented
911#394C2×D5911yescharacteristic, complemented
912#393—591no—
913#393—591no—
914#393—591no—
915#393—591no—
916#393—591no—
917#392—591no—
918#392—591no—
919#391—591no—
920#391—591no—
921#391—591no—
922#391—591no—
923#390—591no—
924#390—591no—
925#390—591no—
926#390—591no—
927#390—591no—
928#390—591no—
929#389—591no—
930#389—591no—
931#389—591no—
932#389C2×D5911yescharacteristic, complemented
933#388—591no—
934#388—591no—
935#388—591no—
936#388—591no—
937#388—591no—
938#388—591no—
939#388—591no—
940#388—591no—
941#388—591no—
942#388—591no—
943#388—591no—
944#388C2×D5911yescharacteristic, complemented
945#387—591no—
946#387—591no—
947#387—591no—
948#387—591no—
949#387—591no—
950#387—591no—
951#387—591no—
952#387—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386—591no—
959#386—591no—
960#386—591no—
961#386—591no—
962#386—591no—
963#386—591no—
964#386—591no—
965#386—591no—
966#386C2×D5911yescharacteristic
967#385—591no—
968#385—591no—
969#385—591no—
970#385—591no—
971#385—591no—
972#385—591no—
973#385—591no—
974#385—591no—
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385—591no—
980#385C2×D5911yescharacteristic, complemented
981#383—591no—
982#382—591no—
983#381—591no—
984#381—591no—
985#381—591no—
986#380—591no—
987#380—591no—
988#380—591no—
989#380—591no—
990#380—591no—
991#380C2×D5911yescharacteristic, complemented
992#379—591no—
993#379—591no—
994#379—591no—
995#379—591no—
996#379—591no—
997#379—591no—
998C4×C22⋊C4—591no—
999C4×C22⋊C4—591no—
1000C4×C22⋊C4—591no—
1001C2×#95—591no—
1002C2×#95—591no—
1003C59#3679311yescharacteristic, complemented, Sylow
1004C25—591no—
1005C25—591no—
1006C22×Q8—591no—
1007C22×Q8—591no—
1008C22×Q8C22×D5911yescharacteristic
1009C22×D4—591no—
1010C22×D4—591no—
1011C22×D4—591no—
1012C22×D4—591no—
1013C22×D4—591no—
1014C22×D4—591no—
1015C22×D4—1184no—
1016C22×D4—2362no—
1017C22×D4—2362no—
1018C22×D4C22×D5911yescharacteristic
1019C22×D4C22×D5911yescharacteristic
1020C22×D4C22×D5911yescharacteristic
1021C23×C4—591no—
1022C23×C4—591no—
1023C23×C4—591no—
1024C23×C4—591no—
1025C23×C4—591no—
1026C23×C4—591no—
1027C23×C4—591no—
1028C23×C4—591no—
1029C23×C4—2362no—
1030C23×C4—2362no—
1031C23×C4—2362no—
1032C23×C4C22×D5911yescharacteristic
1033C23×C4C22×D5911yescharacteristic
1034#126—2362no—
1035#126—2362no—
1036#124—42no—
1037#124—2362no—
1038#124—2362no—
1039#124—2362no—
1040#123—42no—
1041#123—2362no—
1042C22⋊Q8—42no—
1043C22⋊Q8—1184no—
1044C22⋊Q8—2362no—
1045C22⋊Q8—2362no—
1046C22⋊Q8—2362no—
1047#121—42no—
1048#121—2362no—
1049#120—2362no—
1050#120—2362no—
1051C4×D4—1184no—
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—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—591no—
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×C4⋊C4C22×D5911yescharacteristic
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—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—2362no—
1124C2×C22⋊C4—2362no—
1125C2×C22⋊C4—2362no—
1126C2×C22⋊C4C22×D5911yescharacteristic
1127C2×C22⋊C4C22×D5911yescharacteristic
1128C2×C22⋊C4C22×D5911yescharacteristic
1129C2×C22⋊C4C22×D5911yescharacteristic
1130C2×C22⋊C4C22×D5911yescharacteristic
1131C2×C22⋊C4C22×D5911yescharacteristic
1132C2×C22⋊C4C22×D5911yescharacteristic
1133C2×C22⋊C4C22×D5911yescharacteristic
1134C2×C22⋊C4C22×D5911yescharacteristic
1135C2×C22⋊C4C22×D5911yescharacteristic
1136C2×C22⋊C4C22×D5911yescharacteristic
1137C2×C22⋊C4C22×D5911yescharacteristic
1138C2×C22⋊C4C22×D5911yescharacteristic
1139C2×C42—591no—
1140C2×C42—591no—
1141C2×C42—591no—
1142C2×C42—591no—
1143C2×C42—591no—
1144C2×C42—591no—
1145C2×C42C22×D5911yescharacteristic
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#95—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95C22×D5911yescharacteristic
1181#95C22×D5911yescharacteristic
1182#95C22×D5911yescharacteristic
1183#95C22×D5911yescharacteristic
1184#95C22×D5911yescharacteristic
1185#95C22×D5911yescharacteristic
1186C24—591no—
1187C24—591no—
1188C24—591no—
1189C24—1182no—
1190C24—1182no—
1191C24—1182no—
1192C24—1182no—
1193C24—1182no—
1194C24—1182no—
1195C24—1182no—
1196C24—1182no—
1197C24—2361no—
1198C24—2361no—
1199C24—2361no—
1200C24—2361no—
1201C24—2361no—
1202C24—2361no—
1203C24C23×D5911yescharacteristic
1204C24C23×D5911yescharacteristic
1205C24C23×D5911yescharacteristic
1206C2×Q8—22no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—1182no—
1210C2×Q8—2361no—
1211C2×Q8—2361no—
1212C2×Q8—2361no—
1213C2×Q8—2361no—
1214C2×Q8—2361no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—1182no—
1225C2×D4—1182no—
1226C2×D4—1182no—
1227C2×D4—1182no—
1228C2×D4—1182no—
1229C2×D4—1182no—
1230C2×D4—1182no—
1231C2×D4—1182no—
1232C2×D4—1182no—
1233C2×D4—1182no—
1234C2×D4—2361no—
1235C2×D4—2361no—
1236C2×D4—2361no—
1237C2×D4—2361no—
1238C2×D4—2361no—
1239C2×D4—2361no—
1240C2×D4—2361no—
1241C2×D4—2361no—
1242C2×D4—23616no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—591no—
1250C22×C4—594no—
1251C22×C4—591no—
1252C22×C4—591no—
1253C22×C4—591no—
1254C22×C4—591no—
1255C22×C4—591no—
1256C22×C4—591no—
1257C22×C4—591no—
1258C22×C4—591no—
1259C22×C4—591no—
1260C22×C4—591no—
1261C22×C4—591no—
1262C22×C4—591no—
1263C22×C4—1182no—
1264C22×C4—1182no—
1265C22×C4—1182no—
1266C22×C4—1182no—
1267C22×C4—1182no—
1268C22×C4—1182no—
1269C22×C4—1182no—
1270C22×C4—2361no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4—2361no—
1277C22×C4—2361no—
1278C22×C4—2361no—
1279C22×C4—2361no—
1280C22×C4—2361no—
1281C22×C4—2361no—
1282C22×C4—2361no—
1283C22×C4—2361no—
1284C22×C4—23616no—
1285C22×C4—2361no—
1286C22×C4—2361no—
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C22×C4C23×D5911yescharacteristic
1291C22×C4C23×D5911yescharacteristic
1292C22×C4C23×D5911yescharacteristic
1293C22×C4C23×D5911yescharacteristic
1294C22×C4C23×D5911yescharacteristic
1295C22×C4C23×D5911yescharacteristic
1296C22×C4C23×D5911yescharacteristic
1297C22×C4C23×D5911yescharacteristic
1298C22×C4C23×D5911yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—1182no—
1309C4⋊C4—1182no—
1310C4⋊C4—1182no—
1311C4⋊C4—1182no—
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⋊C4—2361no—
1322C4⋊C4—2361no—
1323C4⋊C4—2361no—
1324C4⋊C4—2361no—
1325C4⋊C4—2361no—
1326C4⋊C4—2361no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—1182no—
1344C22⋊C4—1182no—
1345C22⋊C4—1182no—
1346C22⋊C4—1182no—
1347C22⋊C4—1182no—
1348C22⋊C4—1182no—
1349C22⋊C4—1182no—
1350C22⋊C4—1182no—
1351C22⋊C4—1182no—
1352C22⋊C4—1182no—
1353C22⋊C4—1182no—
1354C22⋊C4—1182no—
1355C22⋊C4—2361no—
1356C22⋊C4—2361no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4—2361no—
1360C22⋊C4—2361no—
1361C22⋊C4—2361no—
1362C22⋊C4—2361no—
1363C22⋊C4—2361no—
1364C22⋊C4—2361no—
1365C22⋊C4—2361no—
1366C22⋊C4—2361no—
1367C22⋊C4—2361no—
1368C22⋊C4—2361no—
1369C22⋊C4—2361no—
1370C22⋊C4—2361no—
1371C22⋊C4—2361no—
1372C22⋊C4—2361no—
1373C22⋊C4—2361no—
1374C22⋊C4—2361no—
1375C22⋊C4—2361no—
1376C22⋊C4—2361no—
1377C22⋊C4—2361no—
1378C22⋊C4—2361no—
1379C22⋊C4—2361no—
1380C22⋊C4—2361no—
1381C22⋊C4—2361no—
1382C22⋊C4—2361no—
1383C42—41no—
1384C42—1182no—
1385C42—2361no—
1386C42—2361no—
1387C42—2361no—
1388C42—2361no—
1389C42—2361no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—592no—
1411C23—592no—
1412C23—592no—
1413C23—592no—
1414C23—1188no—
1415C23—1181no—
1416C23—1181no—
1417C23—1181no—
1418C23—1181no—
1419C23—1181no—
1420C23—1181no—
1421C23—1181no—
1422C23—1181no—
1423C23—1181no—
1424C23—1181no—
1425C23—1181no—
1426C23—1181no—
1427C23—1181no—
1428C23—1181no—
1429C23—1181no—
1430C23—1181no—
1431C23—1181no—
1432C23—4722no—
1433C23—4722no—
1434C23—4722no—
1435C23—4722no—
1436C23—2364no—
1437C23—2364no—
1438C23—2364no—
1439C23—2364no—
1440C23—2364no—
1441C23—2364no—
1442C23—2364no—
1443C23—2364no—
1444C23—2364no—
1445C23#1427377212yes—
1446C23C24×D5911yescharacteristic
1447Q8—82no—
1448Q8—4722no—
1449Q8—4722no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—4722no—
1454D4—4722no—
1455D4—2364no—
1456D4—2364no—
1457D4—2364no—
1458D4—2364no—
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—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—44no—
1494C2×C4—82no—
1495C2×C4—592no—
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—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—4722no—
1535C2×C4—4722no—
1536C2×C4—2364no—
1537C2×C4—2364no—
1538C2×C4—2364no—
1539C2×C4—2364no—
1540C2×C4—2364no—
1541C2×C4—2364no—
1542C2×C4#41×D5912yes—
1543C2×C4#1427377212yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—594no—
1566C22—1182no—
1567C22—1182no—
1568C22—1182no—
1569C22—1182no—
1570C22—1182no—
1571C22—1182no—
1572C22—1182no—
1573C22—1182no—
1574C22—1182no—
1575C22—4728no—
1576C22—23616no—
1577C22—2361no—
1578C22—2361no—
1579C22—2361no—
1580C22—2361no—
1581C22—2361no—
1582C22—2361no—
1583C22—2361no—
1584C22—2361no—
1585C22—2361no—
1586C22—2361no—
1587C22—2361no—
1588C22C2×#41×D5911yescharacteristic
1589C22H(5,𝔽2)×D5911yescharacteristic
1590C22H(5,𝔽2)×D5911yescharacteristic
1591C22C2×#1427377211yescharacteristic
1592C22C2×#1427377211yescharacteristic
1593C222−1+4×D5911yescharacteristic
1594C22#1683823911yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—1182no—
1608C4—2361no—
1609C4—2361no—
1610C4—2361no—
1611C4—2361no—
1612C4—2361no—
1613C4—2361no—
1614C4—2361no—
1615C4—2361no—
1616C4—2361no—
1617C4—2361no—
1618C4—2361no—
1619C4—2361no—
1620C2—42no—
1621C2—81no—
1622C2—81no—
1623C2—1184no—
1624C2—4721no—
1625C2—2362no—
1626C2#542×D5911yescharacteristic
1627C2#2143777811yescharacteristic
1628C2#2143794611yescharacteristic
1629C2#2143824611yescharacteristic
1630C2#2143828811yescharacteristic
1631C2#2143829511yescharacteristic
1632C2#2143831411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2672C2
prime radical#21427448C2
hypercenter#2672D59
hypocenterC59#36793
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. #21432385C2semidirect
2. #21432380C2semidirect
3. #21431945C2semidirect
4. #21431485C2semidirect
5. #21431431C2semidirect
6. #21431347C2semidirect
7. #21431155C2semidirect
8. #21431089C2semidirect
9. #21431020C2semidirect
10. #21430914C2semidirect
11. #21430869C2semidirect
12. #21430844C2semidirect
13. #21430765C2semidirect
14. #21430705C2semidirect
15. #21430690C2semidirect
16. #21430577C2semidirect
17. #21430506C2semidirect
18. #21429902C2semidirect
19. #21429868C2semidirect
20. #21429281C2semidirect
21. #21429101C2semidirect
22. #21428348C2semidirect
23. #21428345C2semidirect
24. #21428223C2semidirect
25. #21428218C2semidirect
26. #21427742C2semidirect
28. #21426830C2semidirect
29. #21426731C2semidirect
30. #386×D59C2semidirect
31. C59×#2672C2semidirect
34. C2×#14273722C22semidirect
35. C2×#14273722C22semidirect
38. C2×#14273713C22semidirect
39. C2×#14273708C22semidirect
43. C2×#14273703C22semidirect
51. #16837343C22semidirect
52. #16837338C22semidirect
53. #16837337C22semidirect
54. #16837335C22semidirect
55. #16837334C22semidirect
56. #16837331C22semidirect
57. #16837331C22semidirect
58. #16837331C22semidirect
59. #16837331C22semidirect
60. #16837330C22semidirect
61. #16837330C22semidirect
62. #16837330C22semidirect
63. #16837329C22semidirect
64. #16837328C22semidirect
65. #16837328C22semidirect
66. #16837327C22semidirect
67. #16837327C22semidirect
68. #16837325C22semidirect
69. #16837325C22semidirect
70. #16837325C22semidirect
71. #16837324C22semidirect
72. #16837324C22semidirect
73. #16837323C22semidirect
74. #16837322C22semidirect
77. #16837318C22semidirect
78. #16837318C22semidirect
79. #16837318C22semidirect
82. #16837317C22semidirect
84. #16837316C22semidirect
85. #16837316C22semidirect
86. #16837315C22semidirect
87. #16837314C22semidirect
88. #16837314C22semidirect
89. #16837314C22semidirect
90. #16837313C22semidirect
93. #16837309C22semidirect
94. #16837307C22semidirect
95. #16837306C22semidirect
96. #16837306C22semidirect
98. #16837305C22semidirect
102. #16837302C22semidirect
103. #16837301C22semidirect
104. #16837297C22semidirect
105. #16837297C22semidirect
106. #16837296C22semidirect
107. #16837296C22semidirect
108. #16837296C22semidirect
109. #16837295C22semidirect
110. #16837295C22semidirect
111. #16837293C22semidirect
112. #16837293C22semidirect
113. #16837292C22semidirect
114. #16837292C22semidirect
115. #16837290C22semidirect
116. #16837290C22semidirect
117. #16837289C22semidirect
118. #16837288C22semidirect
119. #16837287C22semidirect
120. #16837286C22semidirect
121. #16837283C22semidirect
122. #16837283C22semidirect
123. #16837283C22semidirect
124. #16837283C22semidirect
136. #16837278C22semidirect
137. #16837278C22semidirect
139. #16837275C22semidirect
140. #16837274C22semidirect
141. #16837274C22semidirect
147. #16837273C22semidirect
148. #16837273C22semidirect
149. #16837273C22semidirect
150. #16837273C22semidirect
151. #16837269C22semidirect
152. #16837266C22semidirect
153. #16837265C22semidirect
154. #16837265C22semidirect
155. #16837263C22semidirect
156. #16837262C22semidirect
160. #16837259C22semidirect
172. C2×#124×C59C22semidirect
173. C2×#123×C59C22semidirect
174. C2×C22⋊Q8×C59C22semidirect
176. C59×#399C22semidirect
177. C59×#396C22semidirect
178. C59×#395C22semidirect
180. C59×#394C22semidirect
181. C59×#394C22semidirect
182. C59×#389C22semidirect
183. C59×#388C22semidirect
185. C59×#385C22semidirect
186. C59×#380C22semidirect
821. #2672D59semidirect
855. C2×#124C2×D59semidirect
857. C2×#123C2×D59semidirect
862. C2×C22⋊Q8C2×D59semidirect
874. #399C2×D59semidirect
894. #396C2×D59semidirect
897. #395C2×D59semidirect
910. #394C2×D59semidirect
911. #394C2×D59semidirect
932. #389C2×D59semidirect
944. #388C2×D59semidirect
980. #385C2×D59semidirect
991. #380C2×D59semidirect
1003. C59#36793semidirect

Maximal subgroups

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

subgroupindex
#214323852
#214323802
#214319452
#214314852
#214314312
#214313472
#214311552
#214310892
#214310202
#214309142
#214308692
#214308442
#214307652
#214307052
#214306902
#214305772
#214305062
#214299022
#214298682
#214292812
#214291012
#214283482
#214283452
#214282232
#214282182
#214277422
#214274482
#214268302
#214267312
#386×D592
C59×#26722
#3679359