Finite Group Databasebeta

← #28797061

Subgroups — #28797061

Order 15104.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432391C211yesmaximal, characteristic, complemented
2#21432379C211yesmaximal, characteristic, complemented
3#21431738C211yesmaximal, characteristic, complemented
4#21431738C211yesmaximal, characteristic, complemented
5#21431582C211yesmaximal, characteristic, complemented
6#21431486C211yesmaximal, characteristic, complemented
7#21431369C211yesmaximal, characteristic, complemented
8#21431326C211yesmaximal, characteristic, complemented
9#21431308C211yesmaximal, characteristic, complemented
10#21431234C211yesmaximal, characteristic, complemented
11#21431165C211yesmaximal, characteristic, complemented
12#21430849C211yesmaximal, characteristic, complemented
13#21430793C211yesmaximal, characteristic, complemented
14#21430786C211yesmaximal, characteristic, complemented
15#21430704C211yesmaximal, characteristic, complemented
16#21430704C211yesmaximal, characteristic, complemented
17#21430539C211yesmaximal, characteristic, complemented
18#21430339C211yesmaximal, characteristic, complemented
19#21429882C211yesmaximal, characteristic, complemented
20#21429841C211yesmaximal, characteristic, complemented
21#21429022C211yesmaximal, characteristic, complemented
22#21428988C211yesmaximal, characteristic, complemented
23#21427645C211yesmaximal, characteristic, complemented
24#21427630C211yesmaximal, characteristic, complemented
25#21427579C211yesmaximal, characteristic, complemented
26#21427564C211yesmaximal, characteristic, complemented
27#21427530C211yesmaximal, characteristic, complemented
28#21426796C211yesmaximal, characteristic, complemented
29#21426723C211yesmaximal, characteristic, complemented
30C2×#16837273C211yesmaximal, characteristic, complemented
31C59×#2442C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C2×#14273712C2211yescharacteristic
34C2×#14273712C2211yescharacteristic
35C2×#14273712C2211yescharacteristic
36C2×#14273711C2211yescharacteristic
37C2×#14273711C2211yescharacteristic
38C2×#14273711C2211yescharacteristic
39C2×#14273702C2211yescharacteristic
40C2×#14273702C2211yescharacteristic
41C2×#14273702C2211yescharacteristic
42C2×#14273702C2211yescharacteristic, complemented
43C2×#14273701C2211yescharacteristic
44C2×#14273701C2211yescharacteristic
45C2×#14273701C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273697C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50C2×(C22⋊D59)⋊C4C2211yescharacteristic
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52C22×Dic59⋊C4C2211yescharacteristic
53C22×(C2×D59)⋊C4C2211yescharacteristic
54C22×(C2×D59)⋊C4C2211yescharacteristic
55#16837344C2211yescharacteristic, complemented
56#16837344C2211yescharacteristic, complemented
57#16837344C2211yescharacteristic, complemented
58#16837339C2211yescharacteristic
59#16837339C2211yescharacteristic
60#16837337C2211yescharacteristic
61#16837337C2211yescharacteristic, complemented
62#16837337C2211yescharacteristic, complemented
63#16837335C2211yescharacteristic, complemented
64#16837335C2211yescharacteristic, complemented
65#16837335C2211yescharacteristic, complemented
66#16837334C2211yescharacteristic, complemented
67#16837334C2211yescharacteristic, complemented
68#16837334C2211yescharacteristic, complemented
69#16837331C2211yescharacteristic
70#16837331C2211yescharacteristic, complemented
71#16837331C2211yescharacteristic, complemented
72#16837331C2211yescharacteristic, complemented
73#16837329C2211yescharacteristic, complemented
74#16837328C2211yescharacteristic, complemented
75#16837324C2211yescharacteristic
76#16837324C2211yescharacteristic
77#16837324C2211yescharacteristic
78#16837324C2211yescharacteristic, complemented
79#16837324C2211yescharacteristic, complemented
80#16837324C2211yescharacteristic, complemented
81#16837324C2211yescharacteristic, complemented
82#16837324C2211yescharacteristic, complemented
83#16837324C2211yescharacteristic, complemented
84#16837324C2211yescharacteristic, complemented
85#16837320C2211yescharacteristic
86#16837320C2211yescharacteristic
87#16837320C2211yescharacteristic, complemented
88#16837320C2211yescharacteristic, complemented
89#16837319C2211yescharacteristic
90#16837319C2211yescharacteristic
91#16837319C2211yescharacteristic
92#16837319C2211yescharacteristic
93#16837319C2211yescharacteristic, complemented
94#16837319C2211yescharacteristic, complemented
95#16837319C2211yescharacteristic, complemented
96#16837312C2211yescharacteristic
97#16837312C2211yescharacteristic
98#16837312C2211yescharacteristic
99#16837304C2211yescharacteristic
100#16837304C2211yescharacteristic
101#16837304C2211yescharacteristic
102#16837304C2211yescharacteristic
103#16837303C2211yescharacteristic
104#16837303C2211yescharacteristic, complemented
105#16837301C2211yescharacteristic, complemented
106#16837301C2211yescharacteristic, complemented
107#16837294C2211yescharacteristic
108#16837294C2211yescharacteristic
109#16837294C2211yescharacteristic
110#16837294C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic, complemented
113#16837292C2211yescharacteristic
114#16837292C2211yescharacteristic, complemented
115#16837292C2211yescharacteristic, complemented
116#16837291C2211yescharacteristic
117#16837289C2211yescharacteristic, complemented
118#16837288C2211yescharacteristic, complemented
119#16837286C2211yescharacteristic, complemented
120#16837286C2211yescharacteristic, complemented
121#16837285C2211yescharacteristic, complemented
122#16837285C2211yescharacteristic, complemented
123#16837281C2211yescharacteristic
124#16837281C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic, complemented
136#16837280C2211yescharacteristic, complemented
137#16837280C2211yescharacteristic, complemented
138#16837279C2211yescharacteristic
139#16837279C2211yescharacteristic
140#16837279C2211yescharacteristic
141#16837279C2211yescharacteristic
142#16837274C2211yescharacteristic
143#16837274C2211yescharacteristic
144#16837273C2211yescharacteristic
145#16837273C2211yescharacteristic
146#16837273C2211yescharacteristic
147#16837273C2211yescharacteristic
148#16837273C2211yescharacteristic
149#16837273C2211yescharacteristic
150#16837273C2211yescharacteristic
151#16837273C2211yescharacteristic
152#16837273C2211yescharacteristic
153#16837273C2211yescharacteristic
154#16837273C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic, complemented
156#16837273C2211yescharacteristic, complemented
157#16837269C2211yescharacteristic, complemented
158#16837266C2211yescharacteristic, complemented
159#16837264C2211yescharacteristic
160#16837264C2211yescharacteristic
161#16837264C2211yescharacteristic, complemented
162#16837264C2211yescharacteristic, complemented
163#16837263C2211yescharacteristic
164#16837261C2211yescharacteristic, complemented
165#16837259C2211yescharacteristic
166#16837259C2211yescharacteristic
167#16837259C2211yescharacteristic, complemented
168#16837259C2211yescharacteristic, complemented
169#16837257C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C2×#125×C59C2211yescharacteristic, complemented
173C22×C4⋊C4×C59C2211yescharacteristic
174C59×#400C2211yescharacteristic, complemented
175C59×#400C2211yescharacteristic, complemented
176C59×#398C2211yescharacteristic, complemented
177C59×#398C2211yescharacteristic, complemented
178C59×#389C2211yescharacteristic, complemented
179C59×#389C2211yescharacteristic, complemented
180C59×#385C2211yescharacteristic
181C59×#385C2211yescharacteristic
182C59×#382C2211yescharacteristic, complemented
183C59×#380C2211yescharacteristic
184C59×#380C2211yescharacteristic
185C59×#380C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×D236C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C22×C4×D59—42no—
204C22×C4×D59—42no—
205C22×C4×D59—42no—
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213#14273712—42no—
214#14273712—42no—
215#14273712—42no—
216#14273711—42no—
217#14273711—42no—
218#14273711—42no—
219#14273702—42no—
220#14273702—42no—
221#14273702—42no—
222#14273702—42no—
223#14273701—24no—
224#14273701—42no—
225#14273701—42no—
226#14273697—42no—
227#14273697—42no—
228#14273697—42no—
229C4×C22⋊D59—24no—
230(C22⋊D59)⋊C4—42no—
231(C22⋊D59)⋊C4—42no—
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×Dic59⋊C4—42no—
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×C22⋊Dic59C2311yescharacteristic
254C2×(C2×D59)⋊C4—24no—
255C2×(C2×D59)⋊C4—42no—
256C2×(C2×D59)⋊C4C2311yescharacteristic
257C2×(C2×D59)⋊C4C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
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
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×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
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
332C23×C4×C59C2311yescharacteristic
333C23×C4×C59C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335#125×C59—42no—
336C2×C4⋊C4×C59—42no—
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
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×C4⋊C4×C59C2311yescharacteristic
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C42×C59C2311yescharacteristic
356C2×C42×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59C2411yescharacteristic
370C23×D59—22no—
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—41no—
376C23×D59—41no—
377C23×D59C2411yescharacteristic
378C23×D59C2411yescharacteristic
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C22×C4×C59—22no—
383C22×C4×C59—22no—
384C22×C4×C59—22no—
385C22×C4×C59—41no—
386C22×C4×C59—41no—
387C22×C4×C59—41no—
388C22×C4×C59—41no—
389C22×C4×C59—41no—
390C22×C4×C59#4114yes—
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C2×C22⋊D59—22no—
406C2×C22⋊D59—22no—
407C2×C22⋊D59—22no—
408C2×C22⋊D59—22no—
409C2×C22⋊D59—22no—
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C22×Dic59—22no—
415C22×Dic59—22no—
416C22×Dic59—22no—
417C22×Dic59—22no—
418C22×Dic59—22no—
419C22×Dic59—41no—
420C22×Dic59—41no—
421C22×Dic59—41no—
422C22×Dic59—41no—
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C22×Dic59C2411yescharacteristic
432C22×Dic59C2411yescharacteristic
433C22×Dic59C2411yescharacteristic
434C2×D236—22no—
435C2×D236—22no—
436C2×D236—22no—
437C2×D236—22no—
438C2×D236—22no—
439C2×D236—22no—
440C2×D236—22no—
441C2×D236—22no—
442C2×D236—41no—
443C2×D236—41no—
444C2×D236—41no—
445C2×D236—41no—
446C2×D236—41no—
447C2×D236—41no—
448C2×D236—41no—
449C2×D236—41no—
450C2×D236—41no—
451C2×D236—41no—
452C2×D236—41no—
453C2×D236—41no—
454C2×D236—41no—
455C2×D236—41no—
456C2×D236—41no—
457C2×D236—41no—
458C2×D236—41no—
459C2×D236—41no—
460C2×D236—41no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
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—416no—
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×D59—41no—
482C2×C4×D59—41no—
483C4⋊C4×C59—22no—
484C4⋊C4×C59—22no—
485C4⋊C4×C59—22no—
486C4⋊C4×C59—22no—
487C4⋊C4×C59—41no—
488C4⋊C4×C59—41no—
489C4⋊C4×C59—41no—
490C4⋊C4×C59—41no—
491C4⋊C4×C59—41no—
492C4⋊C4×C59—41no—
493C4⋊C4×C59—41no—
494C4⋊C4×C59—41no—
495C4⋊C4×C59—41no—
496C4⋊C4×C59—41no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C42×C59—41no—
502C42×C59—41no—
503C22⋊Dic59—22no—
504(C2×D59)⋊C4—22no—
505(C2×D59)⋊C4—22no—
506(C2×D59)⋊C4—22no—
507(C2×D59)⋊C4—22no—
508(C2×D59)⋊C4—22no—
509(C2×D59)⋊C4—22no—
510(C2×D59)⋊C4—22no—
511(C2×D59)⋊C4—22no—
512(C2×D59)⋊C4—22no—
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—22no—
515(C2×D59)⋊C4—22no—
516(C2×D59)⋊C4—41no—
517(C2×D59)⋊C4—41no—
518(C2×D59)⋊C4—41no—
519(C2×D59)⋊C4—41no—
520(C2×D59)⋊C4—41no—
521(C2×D59)⋊C4—41no—
522(C2×D59)⋊C4—41no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊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—
548(C2×D59)⋊C4—41no—
549C4⋊Dic59—22no—
550C4⋊Dic59—41no—
551C4⋊Dic59—41no—
552C4⋊Dic59—41no—
553C4⋊Dic59—41no—
554C4⋊Dic59—41no—
555C4⋊Dic59—41no—
556C4⋊Dic59—41no—
557C4⋊Dic59—41no—
558Dic59⋊C4—22no—
559Dic59⋊C4—41no—
560Dic59⋊C4—41no—
561Dic59⋊C4—41no—
562Dic59⋊C4—41no—
563Dic59⋊C4—41no—
564Dic59⋊C4—41no—
565Dic59⋊C4—41no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569C4×Dic59—22no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59C2×#4112yes—
577C23×C59H(5,𝔽2)12yes—
578C23×C59H(5,𝔽2)12yes—
579C23×C59C2511yescharacteristic
580C22×D59—28no—
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—21no—
585C22×D59—21no—
586C22×D59—21no—
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—44no—
615C22×D59—44no—
616C22×D59—44no—
617C22×D59—44no—
618C22×D59—44no—
619C22×D59—44no—
620C22×D59H(5,𝔽2)12yes—
621C22×D592−1+412yes—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—44no—
662C2×C4×C59—44no—
663C2×C4×C59—82no—
664C2×C4×C59C2×#4112yes—
665C2×C4×C59C2×#4112yes—
666C2×C4×C59H(5,𝔽2)12yes—
667C22⋊D59—44no—
668C22⋊D59—44no—
669C22⋊D59—44no—
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—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—44no—
704C2×Dic59—44no—
705C2×Dic59—82no—
706D236—82no—
707D236—82no—
708D236—82no—
709D236—82no—
710D236—82no—
711D236—82no—
712D236—82no—
713D236—82no—
714D236—82no—
715C4×D59—44no—
716C4×D59—44no—
717C4×D59—44no—
718C4×D59—44no—
719C4×D59—82no—
720C4×D59—82no—
721C4×D59—82no—
722#36777—591nomaximal, Sylow
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59#54014yes—
730C22×C59C22×#4111yescharacteristic
731C22×C59C2×H(5,𝔽2)11yescharacteristic
732C22×C59C2×H(5,𝔽2)11yescharacteristic
733C22×C59C2×H(5,𝔽2)11yescharacteristic
734C22×C59C2×H(5,𝔽2)11yescharacteristic
735C22×C59C2×2−1+411yescharacteristic
736C22×C59#58511yescharacteristic
737C2×D59—22no—
738C2×D59—22no—
739C2×D59—22no—
740C2×D59—22no—
741C2×D59—22no—
742C2×D59—22no—
743C2×D59—416no—
744C2×D59—41no—
745C2×D59—41no—
746C2×D59—41no—
747C2×D59—41no—
748C2×D59—41no—
749C2×D59—41no—
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—41no—
755C2×D59—41no—
756C2×D59—41no—
757C2×D59—41no—
758C2×D59—41no—
759C2×D59—41no—
760C2×D59—41no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—41no—
764C2×D59—41no—
765C2×D59—41no—
766C2×D59—41no—
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C2×D59—41no—
773C4×C59—22no—
774C4×C59—22no—
775C4×C59—22no—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787Dic59—41no—
788Dic59—41no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798#2849—591no—
799#2847—591no—
800#2780—591no—
801#2780—591no—
802#2768—591no—
803#2761—591no—
804#2753—591no—
805#2749—591no—
806#2748—591no—
807#2743—591no—
808#2738—591no—
809#2711—591no—
810#2707—591no—
811#2706—591no—
812#2701—591no—
813#2701—591no—
814#2688—591no—
815#2671—591no—
816#2623—591no—
817#2618—591no—
818#2539—591no—
819#2534—591no—
820#2442D5911yescharacteristic, complemented
821#2425—591no—
822#2424—591no—
823#2419—591no—
824#2418—591no—
825#2416—591no—
826#2325—591no—
827#2318—591no—
828C2×#385—591no—
829C2×C59—24no—
830C2×C59C2×#54011yescharacteristic
831C2×C59#349211yescharacteristic
832C2×C59#350511yescharacteristic
833C2×C59#353211yescharacteristic
834C2×C59#353411yescharacteristic
835C2×C59#353511yescharacteristic
836C2×C59#353611yescharacteristic
837D59—42no—
838D59—42no—
839D59—81no—
840D59—81no—
841D59—81no—
842C24×C4—591no—
843C2×#125C2×D5911yescharacteristic, complemented
844C2×#123—591no—
845C2×#123—591no—
846C2×#123—591no—
847C2×#123—591no—
848C2×#123—591no—
849C2×#123—591no—
850C2×#121—591no—
851C2×#121—591no—
852C2×#121—591no—
853C2×#121—591no—
854C2×#121—591no—
855C2×#121—591no—
856C2×#121—591no—
857C2×#120—591no—
858C2×#120—591no—
859C2×#120—591no—
860C2×C4×D4—591no—
861C2×C4×D4—591no—
862C2×C4×D4—591no—
863C22×C4⋊C4—591no—
864C22×C4⋊C4C2×D5911yescharacteristic
865C22×C22⋊C4—591no—
866C22×C22⋊C4—591no—
867#400—591no—
868#400—591no—
869#400—591no—
870#400C2×D5911yescharacteristic, complemented
871#400C2×D5911yescharacteristic, complemented
872#399—591no—
873#399—591no—
874#399—591no—
875#399—591no—
876#399—591no—
877#398—591no—
878#398—591no—
879#398—591no—
880#398—591no—
881#398—591no—
882#398—591no—
883#398C2×D5911yescharacteristic, complemented
884#398C2×D5911yescharacteristic, complemented
885#397—591no—
886#397—591no—
887#397—591no—
888#397—591no—
889#397—591no—
890#397—591no—
891#396—591no—
892#396—591no—
893#396—591no—
894#396—591no—
895#396—591no—
896#396—591no—
897#396—591no—
898#396—591no—
899#396—591no—
900#396—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#394—591no—
910#394—591no—
911#394—591no—
912#392—591no—
913#392—591no—
914#392—591no—
915#390—591no—
916#390—591no—
917#390—591no—
918#390—591no—
919#390—591no—
920#390—591no—
921#389—591no—
922#389—591no—
923#389C2×D5911yescharacteristic, complemented
924#389C2×D5911yescharacteristic, complemented
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#388—591no—
935#387—591no—
936#387—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#386—591no—
942#386—591no—
943#386—591no—
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386—591no—
959#386—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
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#385C2×D5911yescharacteristic
976#385C2×D5911yescharacteristic
977#383—591no—
978#382—591no—
979#382C2×D5911yescharacteristic, complemented
980#381—591no—
981#381—591no—
982#381—591no—
983#381—591no—
984#381—591no—
985#380—591no—
986#380—591no—
987#380—591no—
988#380—591no—
989#380—591no—
990#380C2×D5911yescharacteristic
991#380C2×D5911yescharacteristic
992#380C2×D5911yescharacteristic
993#379—591no—
994C4×C22⋊C4C2×D5911yescharacteristic
995C2×#95—591no—
996C2×#95—591no—
997C59#3677711yescharacteristic, complemented, Sylow
998C25—591no—
999C22×D4—591no—
1000C22×D4—591no—
1001C22×D4—591no—
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4—591no—
1005C22×D4—591no—
1006C22×D4—591no—
1007C22×D4—591no—
1008C22×D4—591no—
1009C22×D4—591no—
1010C22×D4—591no—
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—591no—
1019C23×C4—591no—
1020C23×C4—591no—
1021C23×C4—2362no—
1022C23×C4—2362no—
1023C23×C4—2362no—
1024C23×C4C22×D5911yescharacteristic
1025C23×C4C22×D5911yescharacteristic
1026C23×C4C22×D5911yescharacteristic
1027#125—42no—
1028#123—2362no—
1029#123—2362no—
1030#123—2362no—
1031#123—2362no—
1032#123—2362no—
1033#123—2362no—
1034#121—1184no—
1035#121—2362no—
1036#121—2362no—
1037#121—2362no—
1038#121—2362no—
1039#121—2362no—
1040#121—2362no—
1041#120—2362no—
1042#120—2362no—
1043#120—2362no—
1044C4×D4—1184no—
1045C4×D4—2362no—
1046C4×D4—2362no—
1047C2×C4⋊C4—42no—
1048C2×C4⋊C4—591no—
1049C2×C4⋊C4—591no—
1050C2×C4⋊C4—591no—
1051C2×C4⋊C4—591no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—591no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—2362no—
1069C2×C4⋊C4C22×D5911yescharacteristic
1070C2×C4⋊C4C22×D5911yescharacteristic
1071C2×C4⋊C4C22×D5911yescharacteristic
1072C2×C4⋊C4C22×D5911yescharacteristic
1073C2×C4⋊C4C22×D5911yescharacteristic
1074C2×C4⋊C4C22×D5911yescharacteristic
1075C2×C4⋊C4C22×D5911yescharacteristic
1076C2×C4⋊C4C22×D5911yescharacteristic
1077C2×C4⋊C4C22×D5911yescharacteristic
1078C2×C4⋊C4C22×D5911yescharacteristic
1079C2×C4⋊C4C22×D5911yescharacteristic
1080C2×C4⋊C4C22×D5911yescharacteristic
1081C2×C4⋊C4C22×D5911yescharacteristic
1082C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—1184no—
1130C2×C22⋊C4—2362no—
1131C2×C22⋊C4C22×D5911yescharacteristic
1132C2×C22⋊C4C22×D5911yescharacteristic
1133C2×C22⋊C4C22×D5911yescharacteristic
1134C2×C22⋊C4C22×D5911yescharacteristic
1135C2×C42—591no—
1136C2×C42—591no—
1137C2×C42—591no—
1138C2×C42C22×D5911yescharacteristic
1139C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
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
1179#95C22×D5911yescharacteristic
1180C24—591no—
1181C24—591no—
1182C24—591no—
1183C24—591no—
1184C24—591no—
1185C24—1182no—
1186C24—1182no—
1187C24—1182no—
1188C24—1182no—
1189C24—1182no—
1190C24—2361no—
1191C24—2361no—
1192C24C23×D5911yescharacteristic
1193C2×D4—1182no—
1194C2×D4—1182no—
1195C2×D4—1182no—
1196C2×D4—1182no—
1197C2×D4—1182no—
1198C2×D4—1182no—
1199C2×D4—1182no—
1200C2×D4—1182no—
1201C2×D4—1182no—
1202C2×D4—1182no—
1203C2×D4—1182no—
1204C2×D4—1182no—
1205C2×D4—1182no—
1206C2×D4—1182no—
1207C2×D4—1182no—
1208C2×D4—1182no—
1209C2×D4—1182no—
1210C2×D4—2361no—
1211C2×D4—2361no—
1212C2×D4—2361no—
1213C2×D4—2361no—
1214C2×D4—2361no—
1215C2×D4—2361no—
1216C2×D4—2361no—
1217C2×D4—2361no—
1218C2×D4—2361no—
1219C2×D4—2361no—
1220C2×D4—2361no—
1221C2×D4—2361no—
1222C2×D4—2361no—
1223C2×D4—2361no—
1224C2×D4—2361no—
1225C2×D4—2361no—
1226C2×D4—2361no—
1227C2×D4—2361no—
1228C2×D4—2361no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—591no—
1241C22×C4—591no—
1242C22×C4—591no—
1243C22×C4—591no—
1244C22×C4—591no—
1245C22×C4—591no—
1246C22×C4—591no—
1247C22×C4—591no—
1248C22×C4—1182no—
1249C22×C4—1182no—
1250C22×C4—1182no—
1251C22×C4—1182no—
1252C22×C4—1182no—
1253C22×C4—1182no—
1254C22×C4—1182no—
1255C22×C4—1182no—
1256C22×C4—1182no—
1257C22×C4—1182no—
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—23616no—
1275C22×C4—2361no—
1276C22×C4—2361no—
1277C22×C4—2361no—
1278C22×C4—2361no—
1279C22×C4#1174568914yes—
1280C22×C4C23×D5911yescharacteristic
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C22×C4C23×D5911yescharacteristic
1285C22×C4C23×D5911yescharacteristic
1286C22×C4C23×D5911yescharacteristic
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C22×C4C23×D5911yescharacteristic
1291C22×C4C23×D5911yescharacteristic
1292C22×C4C23×D5911yescharacteristic
1293C22×C4C23×D5911yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
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—2361no—
1311C4⋊C4—2361no—
1312C4⋊C4—2361no—
1313C4⋊C4—2361no—
1314C4⋊C4—2361no—
1315C4⋊C4—2361no—
1316C4⋊C4—2361no—
1317C4⋊C4—2361no—
1318C4⋊C4—2361no—
1319C4⋊C4—2361no—
1320C4⋊C4—2361no—
1321C4⋊C4—2361no—
1322C4⋊C4—2361no—
1323C4⋊C4—2361no—
1324C4⋊C4—2361no—
1325C4⋊C4—2361no—
1326C4⋊C4—2361no—
1327C4⋊C4—2361no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—1182no—
1333C22⋊C4—1182no—
1334C22⋊C4—1182no—
1335C22⋊C4—1182no—
1336C22⋊C4—1182no—
1337C22⋊C4—1182no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—1182no—
1344C22⋊C4—1182no—
1345C22⋊C4—2361no—
1346C22⋊C4—2361no—
1347C22⋊C4—2361no—
1348C22⋊C4—2361no—
1349C22⋊C4—2361no—
1350C22⋊C4—2361no—
1351C22⋊C4—2361no—
1352C22⋊C4—2361no—
1353C22⋊C4—2361no—
1354C22⋊C4—2361no—
1355C22⋊C4—2361no—
1356C22⋊C4—2361no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4—2361no—
1360C22⋊C4—2361no—
1361C22⋊C4—2361no—
1362C22⋊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—
1378C42—41no—
1379C42—41no—
1380C42—1182no—
1381C42—2361no—
1382C42—2361no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—592no—
1388C23—592no—
1389C23—1188no—
1390C23—1181no—
1391C23—1181no—
1392C23—1181no—
1393C23—1181no—
1394C23—1181no—
1395C23—1181no—
1396C23—1181no—
1397C23—1181no—
1398C23—1181no—
1399C23—1181no—
1400C23—1181no—
1401C23—1181no—
1402C23—1181no—
1403C23—1181no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
1409C23—1181no—
1410C23—1181no—
1411C23—1181no—
1412C23—1181no—
1413C23—1181no—
1414C23—1181no—
1415C23—1181no—
1416C23—1181no—
1417C23—1181no—
1418C23—1181no—
1419C23—1181no—
1420C23—1181no—
1421C23—1181no—
1422C23—1181no—
1423C23—2364no—
1424C23—2364no—
1425C23—2364no—
1426C23—2364no—
1427C23—2364no—
1428C23—2364no—
1429C23C2×#1174568912yes—
1430C23#1427377312yes—
1431C23#1427377312yes—
1432C23C24×D5911yescharacteristic
1433D4—4722no—
1434D4—4722no—
1435D4—4722no—
1436D4—4722no—
1437D4—4722no—
1438D4—4722no—
1439D4—4722no—
1440D4—4722no—
1441D4—4722no—
1442D4—2364no—
1443D4—2364no—
1444D4—2364no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—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—44no—
1485C2×C4—44no—
1486C2×C4—82no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—4722no—
1521C2×C4—4722no—
1522C2×C4—4722no—
1523C2×C4—4722no—
1524C2×C4—2364no—
1525C2×C4—2364no—
1526C2×C4—2364no—
1527C2×C4—2364no—
1528C2×C4—2364no—
1529C2×C4—2364no—
1530C2×C4C2×#1174568912yes—
1531C2×C4C2×#1174568912yes—
1532C2×C4#1427377212yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—1182no—
1540C22—1182no—
1541C22—1182no—
1542C22—1182no—
1543C22—1182no—
1544C22—1182no—
1545C22—23616no—
1546C22—2361no—
1547C22—2361no—
1548C22—2361no—
1549C22—2361no—
1550C22—2361no—
1551C22—2361no—
1552C22—2361no—
1553C22—2361no—
1554C22—2361no—
1555C22—2361no—
1556C22—2361no—
1557C22—2361no—
1558C22—2361no—
1559C22—2361no—
1560C22—2361no—
1561C22—2361no—
1562C22—2361no—
1563C22—2361no—
1564C22—2361no—
1565C22—2361no—
1566C22—2361no—
1567C22—2361no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22—2361no—
1575C22#1683800814yes—
1576C22C22×#1174568911yescharacteristic
1577C22H(5,𝔽2)×D5911yescharacteristic
1578C22C2×#1427377211yescharacteristic
1579C22C2×#1427377311yescharacteristic
1580C22C2×#1427377311yescharacteristic
1581C222−1+4×D5911yescharacteristic
1582C22#1683823811yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—2361no—
1598C4—2361no—
1599C4—2361no—
1600C4—2361no—
1601C4—2361no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C4—2361no—
1607C4—2361no—
1608C2—24no—
1609C2—4721no—
1610C2—4721no—
1611C2—4721no—
1612C2—2362no—
1613C2—2362no—
1614C2C2×#1683800811yescharacteristic
1615C2#2143780611yescharacteristic
1616C2#2143793711yescharacteristic
1617C2#2143824511yescharacteristic
1618C2#2143827311yescharacteristic
1619C2#2143830811yescharacteristic
1620C2#2143831211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2442C2
hypercenter#2442D59
hypocenterC59#36777
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2442

Complements

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

NH ≅ G/Ntype
1. #21432391C2semidirect
2. #21432379C2semidirect
3. #21431738C2semidirect
4. #21431738C2semidirect
5. #21431582C2semidirect
6. #21431486C2semidirect
7. #21431369C2semidirect
8. #21431326C2semidirect
9. #21431308C2semidirect
10. #21431234C2semidirect
11. #21431165C2semidirect
12. #21430849C2semidirect
13. #21430793C2semidirect
14. #21430786C2semidirect
15. #21430704C2semidirect
16. #21430704C2semidirect
17. #21430539C2semidirect
18. #21430339C2semidirect
19. #21429882C2semidirect
20. #21429841C2semidirect
21. #21429022C2semidirect
22. #21428988C2semidirect
23. #21427645C2semidirect
24. #21427630C2semidirect
25. #21427579C2semidirect
26. #21427564C2semidirect
27. #21427530C2semidirect
28. #21426796C2semidirect
29. #21426723C2semidirect
30. C2×#16837273C2semidirect
31. C59×#2442C2semidirect
42. C2×#14273702C22semidirect
55. #16837344C22semidirect
56. #16837344C22semidirect
57. #16837344C22semidirect
61. #16837337C22semidirect
62. #16837337C22semidirect
63. #16837335C22semidirect
64. #16837335C22semidirect
65. #16837335C22semidirect
66. #16837334C22semidirect
67. #16837334C22semidirect
68. #16837334C22semidirect
70. #16837331C22semidirect
71. #16837331C22semidirect
72. #16837331C22semidirect
73. #16837329C22semidirect
74. #16837328C22semidirect
78. #16837324C22semidirect
79. #16837324C22semidirect
80. #16837324C22semidirect
81. #16837324C22semidirect
82. #16837324C22semidirect
83. #16837324C22semidirect
84. #16837324C22semidirect
87. #16837320C22semidirect
88. #16837320C22semidirect
93. #16837319C22semidirect
94. #16837319C22semidirect
95. #16837319C22semidirect
104. #16837303C22semidirect
105. #16837301C22semidirect
106. #16837301C22semidirect
110. #16837294C22semidirect
111. #16837293C22semidirect
112. #16837293C22semidirect
114. #16837292C22semidirect
115. #16837292C22semidirect
117. #16837289C22semidirect
118. #16837288C22semidirect
119. #16837286C22semidirect
120. #16837286C22semidirect
121. #16837285C22semidirect
122. #16837285C22semidirect
135. #16837280C22semidirect
136. #16837280C22semidirect
137. #16837280C22semidirect
154. #16837273C22semidirect
155. #16837273C22semidirect
156. #16837273C22semidirect
157. #16837269C22semidirect
158. #16837266C22semidirect
161. #16837264C22semidirect
162. #16837264C22semidirect
164. #16837261C22semidirect
167. #16837259C22semidirect
168. #16837259C22semidirect
172. C2×#125×C59C22semidirect
174. C59×#400C22semidirect
175. C59×#400C22semidirect
176. C59×#398C22semidirect
177. C59×#398C22semidirect
178. C59×#389C22semidirect
179. C59×#389C22semidirect
182. C59×#382C22semidirect
820. #2442D59semidirect
843. C2×#125C2×D59semidirect
870. #400C2×D59semidirect
871. #400C2×D59semidirect
883. #398C2×D59semidirect
884. #398C2×D59semidirect
923. #389C2×D59semidirect
924. #389C2×D59semidirect
979. #382C2×D59semidirect
997. C59#36777semidirect

Maximal subgroups

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

subgroupindex
#214323912
#214323792
#214317382
#214315822
#214314862
#214313692
#214313262
#214313082
#214312342
#214311652
#214308492
#214307932
#214307862
#214307042
#214305392
#214303392
#214298822
#214298412
#214290222
#214289882
#214276452
#214276302
#214275792
#214275642
#214275302
#214267962
#214267232
C2×#168372732
C59×#24422
#3677759