Finite Group Databasebeta

← #28797007

Subgroups — #28797007

Order 15104.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432391C211yesmaximal, characteristic, complemented
2#21432384C211yesmaximal, characteristic, complemented
3#21431770C211yesmaximal, characteristic, complemented
4#21431339C211yesmaximal, characteristic, complemented
5#21431285C211yesmaximal, characteristic, complemented
6#21431283C211yesmaximal, characteristic, complemented
7#21431238C211yesmaximal, characteristic, complemented
8#21431070C211yesmaximal, characteristic, complemented
9#21430821C211yesmaximal, characteristic, complemented
10#21430819C211yesmaximal, characteristic, complemented
11#21430781C211yesmaximal, characteristic, complemented
12#21430644C211yesmaximal, characteristic, complemented
13#21430632C211yesmaximal, characteristic, complemented
14#21430606C211yesmaximal, characteristic, complemented
15#21430606C211yesmaximal, characteristic, complemented
16#21430580C211yesmaximal, characteristic, complemented
17#21430524C211yesmaximal, characteristic, complemented
18#21430443C211yesmaximal, characteristic, complemented
19#21430068C211yesmaximal, characteristic, complemented
20#21430052C211yesmaximal, characteristic, complemented
21#21428342C211yesmaximal, characteristic, complemented
22#21427920C211yesmaximal, characteristic, complemented
23#21427761C211yesmaximal, characteristic, complemented
24#21427560C211yesmaximal, characteristic, complemented
25#21427489C211yesmaximal, characteristic, complemented
26#21427468C211yesmaximal, characteristic
27#21427425C211yesmaximal, characteristic, complemented
28#21426756C211yesmaximal, characteristic, complemented
29#21426707C211yesmaximal, characteristic, complemented
30C2×#16837280C211yesmaximal, characteristic, complemented
31C59×#2505C211yesmaximal, characteristic, complemented
32C23×D236C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273721C2211yescharacteristic, complemented
35C2×#14273712C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273712C2211yescharacteristic, complemented
38C2×#14273712C2211yescharacteristic, complemented
39C2×#14273712C2211yescharacteristic, complemented
40C2×#14273712C2211yescharacteristic, complemented
41C2×#14273707C2211yescharacteristic, complemented
42C2×#14273707C2211yescharacteristic, complemented
43C2×#14273706C2211yescharacteristic
44C2×#14273705C2211yescharacteristic, complemented
45C2×#14273702C2211yescharacteristic
46C2×#14273702C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273697C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50C22×(C2×D59)⋊C4C2211yescharacteristic
51C22×(C2×D59)⋊C4C2211yescharacteristic
52C22×(C2×D59)⋊C4C2211yescharacteristic
53C2×C22⋊C4×D59C2211yescharacteristic
54C2×C22⋊C4×D59C2211yescharacteristic
55C59⋊#401C2211yescharacteristic, complemented
56#16837344C2211yescharacteristic, complemented
57#16837343C2211yescharacteristic, complemented
58#16837343C2211yescharacteristic, complemented
59#16837343C2211yescharacteristic, complemented
60#16837342C2211yescharacteristic, complemented
61#16837341C2211yescharacteristic, complemented
62#16837340C2211yescharacteristic, complemented
63#16837340C2211yescharacteristic, complemented
64#16837337C2211yescharacteristic, complemented
65#16837337C2211yescharacteristic, complemented
66#16837336C2211yescharacteristic, complemented
67#16837336C2211yescharacteristic, complemented
68#16837335C2211yescharacteristic, complemented
69#16837333C2211yescharacteristic, complemented
70#16837332C2211yescharacteristic, complemented
71#16837331C2211yescharacteristic, complemented
72#16837331C2211yescharacteristic, complemented
73#16837331C2211yescharacteristic, complemented
74#16837331C2211yescharacteristic, complemented
75#16837331C2211yescharacteristic, complemented
76#16837331C2211yescharacteristic, complemented
77#16837329C2211yescharacteristic, complemented
78#16837328C2211yescharacteristic, complemented
79#16837328C2211yescharacteristic, complemented
80#16837326C2211yescharacteristic, complemented
81#16837326C2211yescharacteristic, complemented
82#16837326C2211yescharacteristic, 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#16837315C2211yescharacteristic, complemented
96#16837315C2211yescharacteristic, complemented
97#16837312C2211yescharacteristic
98#16837312C2211yescharacteristic
99#16837306C2211yescharacteristic, complemented
100#16837304C2211yescharacteristic, complemented
101#16837304C2211yescharacteristic, complemented
102#16837294C2211yescharacteristic, complemented
103#16837294C2211yescharacteristic, complemented
104#16837293C2211yescharacteristic, complemented
105#16837293C2211yescharacteristic, complemented
106#16837293C2211yescharacteristic, complemented
107#16837293C2211yescharacteristic, complemented
108#16837293C2211yescharacteristic, complemented
109#16837292C2211yescharacteristic, complemented
110#16837291C2211yescharacteristic, complemented
111#16837284C2211yescharacteristic, complemented
112#16837281C2211yescharacteristic
113#16837281C2211yescharacteristic
114#16837280C2211yescharacteristic
115#16837280C2211yescharacteristic
116#16837280C2211yescharacteristic
117#16837280C2211yescharacteristic
118#16837280C2211yescharacteristic
119#16837280C2211yescharacteristic
120#16837280C2211yescharacteristic
121#16837280C2211yescharacteristic
122#16837280C2211yescharacteristic
123#16837280C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic, complemented
127#16837280C2211yescharacteristic, complemented
128#16837280C2211yescharacteristic, complemented
129#16837280C2211yescharacteristic, complemented
130#16837280C2211yescharacteristic, complemented
131#16837280C2211yescharacteristic, complemented
132#16837279C2211yescharacteristic
133#16837279C2211yescharacteristic
134#16837277C2211yescharacteristic
135#16837277C2211yescharacteristic
136#16837276C2211yescharacteristic, complemented
137#16837276C2211yescharacteristic, complemented
138#16837276C2211yescharacteristic, complemented
139#16837276C2211yescharacteristic, complemented
140#16837276C2211yescharacteristic, complemented
141#16837276C2211yescharacteristic, complemented
142#16837276C2211yescharacteristic, complemented
143#16837276C2211yescharacteristic, complemented
144#16837275C2211yescharacteristic
145#16837275C2211yescharacteristic
146#16837274C2211yescharacteristic
147#16837274C2211yescharacteristic
148#16837273C2211yescharacteristic, complemented
149#16837273C2211yescharacteristic, complemented
150#16837273C2211yescharacteristic, complemented
151#16837273C2211yescharacteristic, complemented
152#16837273C2211yescharacteristic, complemented
153#16837273C2211yescharacteristic, complemented
154#16837264C2211yescharacteristic, complemented
155#16837264C2211yescharacteristic, complemented
156#16837264C2211yescharacteristic, complemented
157#16837261C2211yescharacteristic, complemented
158#16837261C2211yescharacteristic, complemented
159#16837261C2211yescharacteristic, complemented
160#16837261C2211yescharacteristic, complemented
161#16837260C2211yescharacteristic
162#16837260C2211yescharacteristic
163#16837259C2211yescharacteristic, complemented
164#16837259C2211yescharacteristic, complemented
165#16837259C2211yescharacteristic, complemented
166#16837259C2211yescharacteristic, complemented
167#16837257C2211yescharacteristic
168#16837257C2211yescharacteristic
169#16837257C2211yescharacteristic
170#16837257C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C59×#400C2211yescharacteristic, complemented
173C59×#400C2211yescharacteristic, complemented
174C59×#400C2211yescharacteristic, complemented
175C59×#398C2211yescharacteristic, complemented
176C59×#389C2211yescharacteristic, complemented
177C59×#387C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#385C2211yescharacteristic
180C59×#385C2211yescharacteristic
181C59×#385C2211yescharacteristic
182C59×#385C2211yescharacteristic
183C59×#382C2211yescharacteristic, complemented
184C59×#380C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×D236—24no—
191C22×D236—42no—
192C22×D236—42no—
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C22×C4×D59—42no—
205C22×C4×D59—42no—
206C22×C4×D59—42no—
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216#14273721—42no—
217#14273712—42no—
218#14273712—42no—
219#14273712—42no—
220#14273712—42no—
221#14273712—42no—
222#14273712—42no—
223#14273707—42no—
224#14273707—42no—
225#14273706—42no—
226#14273705—42no—
227#14273702—42no—
228#14273702—42no—
229#14273697—24no—
230#14273697—42no—
231C4×C22⋊D59—42no—
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×(C2×D59)⋊C4—42no—
256C2×(C2×D59)⋊C4—42no—
257C2×(C2×D59)⋊C4—42no—
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×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C22⋊C4×D59—24no—
304C22⋊C4×D59—42no—
305C2×C4×Dic59C2311yescharacteristic
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
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
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×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C42×C59C2311yescharacteristic
352C2×C42×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×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—22no—
376C23×D59—22no—
377C23×D59—41no—
378C23×D59—41no—
379C23×D59—41no—
380C23×D59—41no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59#4114yes—
384C23×D59C2411yescharacteristic
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C22×C4×C59—22no—
390C22×C4×C59—22no—
391C22×C4×C59—22no—
392C22×C4×C59—22no—
393C22×C4×C59—41no—
394C22×C4×C59—41no—
395C22×C4×C59—41no—
396C22×C4×C59—41no—
397C22×C4×C59—41no—
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—22no—
415C22×Dic59—22no—
416C22×Dic59—22no—
417C22×Dic59—41no—
418C22×Dic59—41no—
419C22×Dic59—41no—
420C22×Dic59—41no—
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C22×Dic59C2411yescharacteristic
432C2×D236—22no—
433C2×D236—22no—
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—22no—
443C2×D236—22no—
444C2×D236—41no—
445C2×D236—41no—
446C2×D236—41no—
447C2×D236—41no—
448C2×D236—416no—
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×C4×D59—22no—
458C2×C4×D59—22no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×C4×D59—41no—
466C2×C4×D59—41no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—416no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×Dic118—22no—
486C2×Dic118—41no—
487C2×Dic118—41no—
488C4⋊C4×C59—22no—
489C4⋊C4×C59—22no—
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—
497C4⋊C4×C59—41no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C42×C59—41no—
503C42×C59—41no—
504C22⋊Dic59—22no—
505C22⋊Dic59—22no—
506C22⋊Dic59—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—22no—
517(C2×D59)⋊C4—22no—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—22no—
520(C2×D59)⋊C4—22no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—41no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊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—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552C4⋊Dic59—41no—
553C4⋊Dic59—41no—
554C4⋊Dic59—41no—
555C4⋊Dic59—41no—
556C4⋊Dic59—41no—
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—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572C4×Dic59—41no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59C2×#4112yes—
578C23×C59H(5,𝔽2)12yes—
579C23×C592−1+412yes—
580C23×C59C2511yescharacteristic
581C22×D59—28no—
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—28no—
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×D59—44no—
621C22×D59—44no—
622C22×D59—82no—
623C22×D59—82no—
624C22×D59—82no—
625C22×D59—82no—
626C22×D59C2×#4112yes—
627C22×D59C2×#4112yes—
628C22×D59H(5,𝔽2)12yes—
629C22×D59H(5,𝔽2)12yes—
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—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—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—44no—
672C2×C4×C59—44no—
673C2×C4×C59—82no—
674C2×C4×C59H(5,𝔽2)12yes—
675C22⋊D59—44no—
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—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—44no—
710C2×Dic59—82no—
711D236—44no—
712D236—44no—
713D236—44no—
714D236—44no—
715D236—82no—
716D236—82no—
717D236—82no—
718D236—82no—
719C4×D59—44no—
720C4×D59—44no—
721C4×D59—44no—
722C4×D59—44no—
723C4×D59—82no—
724C4×D59—82no—
725C4×D59—82no—
726C4×D59—82no—
727C4×D59—82no—
728Dic118—82no—
729#36775—591nomaximal, Sylow
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—22no—
733C22×C59—22no—
734C22×C59—22no—
735C22×C59—22no—
736C22×C59#53914yes—
737C22×C59C22×#4111yescharacteristic
738C22×C59C2×H(5,𝔽2)11yescharacteristic
739C22×C59C2×H(5,𝔽2)11yescharacteristic
740C22×C59C2×H(5,𝔽2)11yescharacteristic
741C22×C59C2×H(5,𝔽2)11yescharacteristic
742C22×C59C2×2−1+411yescharacteristic
743C22×C59#58511yescharacteristic
744C2×D59—22no—
745C2×D59—22no—
746C2×D59—22no—
747C2×D59—22no—
748C2×D59—22no—
749C2×D59—22no—
750C2×D59—22no—
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—416no—
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—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—41no—
779C2×D59—41no—
780C2×D59—88no—
781C4×C59—22no—
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—
791C4×C59—41no—
792C4×C59—41no—
793C4×C59—41no—
794C4×C59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59—41no—
799Dic59—41no—
800Dic59—41no—
801Dic59—41no—
802Dic59—41no—
803Dic59—41no—
804Dic59—41no—
805Dic59—41no—
806#2849—591no—
807#2848—591no—
808#2782—591no—
809#2750—591no—
810#2746—591no—
811#2746—591no—
812#2743—591no—
813#2728—591no—
814#2708—591no—
815#2708—591no—
816#2706—591no—
817#2696—591no—
818#2695—591no—
819#2693—591no—
820#2693—591no—
821#2691—591no—
822#2687—591no—
823#2681—591no—
824#2646—591no—
825#2643—591no—
826#2505D5911yescharacteristic, complemented
827#2480—591no—
828#2450—591no—
829#2437—591no—
830#2418—591no—
831#2412—591no—
832#2410—591no—
833#2405—591no—
834#2321—591no—
835#2315—591no—
836C2×#386—591no—
837C2×C59—24no—
838C2×C59C2×#53911yescharacteristic
839C2×C59#349011yescharacteristic
840C2×C59#350511yescharacteristic
841C2×C59#353211yescharacteristic
842C2×C59#353411yescharacteristic
843C2×C59#353511yescharacteristic
844C2×C59#353611yescharacteristic
845D59—42no—
846D59—42no—
847D59—42no—
848D59—42no—
849D59—81no—
850C23×D4—591no—
851C24×C4—591no—
852C2×#126—591no—
853C2×#123—591no—
854C2×#123—591no—
855C2×#123—591no—
856C2×#123—591no—
857C2×#123—591no—
858C2×#123—591no—
859C2×C22⋊Q8—591no—
860C2×C22⋊Q8—591no—
861C2×C22⋊Q8—591no—
862C2×C22⋊Q8—591no—
863C2×#121—591no—
864C2×#121—591no—
865C2×#120—591no—
866C2×#120—591no—
867C2×C4×D4—591no—
868C22×C22⋊C4—591no—
869C22×C22⋊C4—591no—
870C22×C22⋊C4—591no—
871C22×C22⋊C4—591no—
872C22×C22⋊C4—591no—
873#401—591no—
874#400—591no—
875#400—591no—
876#400—591no—
877#400—591no—
878#400—591no—
879#400—591no—
880#400—591no—
881#400—591no—
882#400C2×D5911yescharacteristic, complemented
883#400C2×D5911yescharacteristic, complemented
884#400C2×D5911yescharacteristic, complemented
885#399—591no—
886#399—591no—
887#398—591no—
888#398—591no—
889#398—591no—
890#398—591no—
891#398—591no—
892#398C2×D5911yescharacteristic, complemented
893#397—591no—
894#397—591no—
895#397—591no—
896#397—591no—
897#397—591no—
898#397—591no—
899#397—591no—
900#397—591no—
901#397—591no—
902#396—591no—
903#396—591no—
904#396—591no—
905#396—591no—
906#396—591no—
907#394—591no—
908#394—591no—
909#394—591no—
910#394—591no—
911#394—591no—
912#394—591no—
913#394—591no—
914#394—591no—
915#394—591no—
916#394—591no—
917#393—591no—
918#393—591no—
919#392—591no—
920#392—591no—
921#391—591no—
922#390—591no—
923#390—591no—
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#387—591no—
935#387C2×D5911yescharacteristic, complemented
936#387C2×D5911yescharacteristic, complemented
937#386—591no—
938#386—591no—
939#386—591no—
940#386—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#385—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#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385C2×D5911yescharacteristic
980#385C2×D5911yescharacteristic
981#385C2×D5911yescharacteristic
982#385C2×D5911yescharacteristic
983#382C2×D5911yescharacteristic, complemented
984#381—591no—
985#381—591no—
986#381—591no—
987#380—591no—
988#380—591no—
989#380—591no—
990#380—591no—
991#380—591no—
992#380—591no—
993#380—591no—
994#380—591no—
995#380—591no—
996#380—591no—
997#380C2×D5911yescharacteristic
998#379—591no—
999#379—591no—
1000#379—591no—
1001#379—591no—
1002C4×C22⋊C4C2×D5911yescharacteristic
1003C2×#95—591no—
1004C2×#95C2×D5911yescharacteristic
1005C59#3677511yescharacteristic, complemented, Sylow
1006C25—591no—
1007C25—591no—
1008C22×Q8—591no—
1009C22×D4—591no—
1010C22×D4—591no—
1011C22×D4—591no—
1012C22×D4—591no—
1013C22×D4—591no—
1014C22×D4—591no—
1015C22×D4—591no—
1016C22×D4—591no—
1017C22×D4—591no—
1018C22×D4—1184no—
1019C22×D4—2362no—
1020C22×D4—2362no—
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—591no—
1030C23×C4—591no—
1031C23×C4—591no—
1032C23×C4—2362no—
1033C23×C4—2362no—
1034C23×C4—2362no—
1035C23×C4C22×D5911yescharacteristic
1036C23×C4C22×D5911yescharacteristic
1037C23×C4C22×D5911yescharacteristic
1038#126—2362no—
1039#123—2362no—
1040#123—2362no—
1041#123—2362no—
1042#123—2362no—
1043#123—2362no—
1044#123—2362no—
1045C22⋊Q8—2362no—
1046C22⋊Q8—2362no—
1047C22⋊Q8—2362no—
1048C22⋊Q8—2362no—
1049#121—2362no—
1050#121—2362no—
1051#120—1184no—
1052#120—2362no—
1053C4×D4—2362no—
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⋊C4—591no—
1072C2×C4⋊C4—591no—
1073C2×C4⋊C4—591no—
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×C4⋊C4C22×D5911yescharacteristic
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—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—1184no—
1133C2×C22⋊C4—2362no—
1134C2×C22⋊C4—2362no—
1135C2×C22⋊C4—2362no—
1136C2×C22⋊C4—2362no—
1137C2×C22⋊C4C22×D5911yescharacteristic
1138C2×C22⋊C4C22×D5911yescharacteristic
1139C2×C22⋊C4C22×D5911yescharacteristic
1140C2×C22⋊C4C22×D5911yescharacteristic
1141C2×C42—591no—
1142C2×C42C22×D5911yescharacteristic
1143C2×C42C22×D5911yescharacteristic
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95C22×D5911yescharacteristic
1173#95C22×D5911yescharacteristic
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179#95C22×D5911yescharacteristic
1180#95C22×D5911yescharacteristic
1181#95C22×D5911yescharacteristic
1182#95C22×D5911yescharacteristic
1183#95C22×D5911yescharacteristic
1184#95C22×D5911yescharacteristic
1185#95C22×D5911yescharacteristic
1186#95C22×D5911yescharacteristic
1187#95C22×D5911yescharacteristic
1188C24—591no—
1189C24—591no—
1190C24—591no—
1191C24—591no—
1192C24—594no—
1193C24—591no—
1194C24—1182no—
1195C24—1182no—
1196C24—1182no—
1197C24—1182no—
1198C24—1182no—
1199C24—1182no—
1200C24—1182no—
1201C24—2361no—
1202C24—2361no—
1203C24—2361no—
1204C24—2361no—
1205C24—2361no—
1206C24—2361no—
1207C24C23×D5911yescharacteristic
1208C2×Q8—1182no—
1209C2×Q8—2361no—
1210C2×Q8—2361no—
1211C2×D4—1182no—
1212C2×D4—1182no—
1213C2×D4—1182no—
1214C2×D4—1182no—
1215C2×D4—1182no—
1216C2×D4—1182no—
1217C2×D4—1182no—
1218C2×D4—1182no—
1219C2×D4—1182no—
1220C2×D4—1182no—
1221C2×D4—1182no—
1222C2×D4—1182no—
1223C2×D4—1182no—
1224C2×D4—1182no—
1225C2×D4—1182no—
1226C2×D4—2361no—
1227C2×D4—2361no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C2×D4—2361no—
1232C2×D4—2361no—
1233C2×D4—2361no—
1234C2×D4—2361no—
1235C2×D4—2361no—
1236C2×D4—2361no—
1237C2×D4—2361no—
1238C2×D4—23616no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—591no—
1249C22×C4—591no—
1250C22×C4—591no—
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—1182no—
1260C22×C4—1182no—
1261C22×C4—1182no—
1262C22×C4—1182no—
1263C22×C4—1182no—
1264C22×C4—1182no—
1265C22×C4—1182no—
1266C22×C4—1182no—
1267C22×C4—2361no—
1268C22×C4—2361no—
1269C22×C4—2361no—
1270C22×C4—2361no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×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—2361no—
1285C22×C4—2361no—
1286C22×C4—2361no—
1287C22×C4—2361no—
1288C22×C4—23616no—
1289C22×C4—2361no—
1290C22×C4—2361no—
1291C22×C4—2361no—
1292C22×C4—2361no—
1293C22×C4C23×D5911yescharacteristic
1294C22×C4C23×D5911yescharacteristic
1295C22×C4C23×D5911yescharacteristic
1296C22×C4C23×D5911yescharacteristic
1297C22×C4C23×D5911yescharacteristic
1298C22×C4C23×D5911yescharacteristic
1299C22×C4C23×D5911yescharacteristic
1300C22×C4C23×D5911yescharacteristic
1301C22×C4C23×D5911yescharacteristic
1302C22×C4C23×D5911yescharacteristic
1303C22×C4C23×D5911yescharacteristic
1304C22×C4C23×D5911yescharacteristic
1305C22×C4C23×D5911yescharacteristic
1306C22×C4C23×D5911yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
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—
1328C4⋊C4—2361no—
1329C4⋊C4—2361no—
1330C4⋊C4—2361no—
1331C4⋊C4—2361no—
1332C4⋊C4—2361no—
1333C4⋊C4—2361no—
1334C4⋊C4—2361no—
1335C4⋊C4—2361no—
1336C4⋊C4—2361no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
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—1182no—
1356C22⋊C4—1182no—
1357C22⋊C4—1182no—
1358C22⋊C4—1182no—
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—
1383C22⋊C4—2361no—
1384C22⋊C4—2361no—
1385C22⋊C4—2361no—
1386C22⋊C4—2361no—
1387C22⋊C4—2361no—
1388C22⋊C4—2361no—
1389C42—41no—
1390C42—41no—
1391C42—2361no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—592no—
1397C23—592no—
1398C23—592no—
1399C23—592no—
1400C23—1188no—
1401C23—1188no—
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—1181no—
1424C23—1181no—
1425C23—1181no—
1426C23—1181no—
1427C23—1181no—
1428C23—1181no—
1429C23—1181no—
1430C23—1181no—
1431C23—1181no—
1432C23—1181no—
1433C23—4722no—
1434C23—4722no—
1435C23—4722no—
1436C23—4722no—
1437C23—2364no—
1438C23—2364no—
1439C23—2364no—
1440C23—2364no—
1441C23—2364no—
1442C23—2364no—
1443C23—2364no—
1444C23—2364no—
1445C23#41×D5912yes—
1446C23#1427377312yes—
1447C23#1427377512yes—
1448C23C24×D5911yescharacteristic
1449Q8—4722no—
1450D4—4722no—
1451D4—4722no—
1452D4—4722no—
1453D4—4722no—
1454D4—2364no—
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—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—82no—
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—1181no—
1535C2×C4—1181no—
1536C2×C4—4722no—
1537C2×C4—4722no—
1538C2×C4—4722no—
1539C2×C4—4722no—
1540C2×C4—4722no—
1541C2×C4—4722no—
1542C2×C4—2364no—
1543C2×C4—2364no—
1544C2×C4—2364no—
1545C2×C4—2364no—
1546C2×C4—2364no—
1547C2×C4#1427377312yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—1182no—
1555C22—1182no—
1556C22—1182no—
1557C22—1182no—
1558C22—1182no—
1559C22—1182no—
1560C22—1182no—
1561C22—1182no—
1562C22—1182no—
1563C22—1182no—
1564C22—1182no—
1565C22—1182no—
1566C22—4728no—
1567C22—23616no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22—2361no—
1575C22—2361no—
1576C22—2361no—
1577C22—2361no—
1578C22—2361no—
1579C22—2361no—
1580C22—2361no—
1581C22—2361no—
1582C22—2361no—
1583C22—2361no—
1584C22—2361no—
1585C22—2361no—
1586C22—2361no—
1587C22—2361no—
1588C22—2361no—
1589C22—2361no—
1590C22—2361no—
1591C22#1683800014yes—
1592C22C2×#41×D5911yescharacteristic
1593C22H(5,𝔽2)×D5911yescharacteristic
1594C22H(5,𝔽2)×D5911yescharacteristic
1595C22C2×#1427377311yescharacteristic
1596C22C2×#1427377311yescharacteristic
1597C22C2×#1427377511yescharacteristic
1598C22#1683823811yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—2361no—
1614C4—2361no—
1615C4—2361no—
1616C4—2361no—
1617C4—2361no—
1618C4—2361no—
1619C4—2361no—
1620C4—2361no—
1621C4—2361no—
1622C4—2361no—
1623C4—2361no—
1624C2—24no—
1625C2—4721no—
1626C2—2362no—
1627C2—2362no—
1628C2—2362no—
1629C2—2362no—
1630C2C2×#1683800011yescharacteristic
1631C2#2143778211yescharacteristic
1632C2#2143793111yescharacteristic
1633C2#2143825211yescharacteristic
1634C2#2143828911yescharacteristic
1635C2#2143830011yescharacteristic
1636C2#2143832411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2505C2
prime radical#21427468C2
hypercenter#2505D59
hypocenterC59#36775
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2505

Complements

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

NH ≅ G/Ntype
1. #21432391C2semidirect
2. #21432384C2semidirect
3. #21431770C2semidirect
4. #21431339C2semidirect
5. #21431285C2semidirect
6. #21431283C2semidirect
7. #21431238C2semidirect
8. #21431070C2semidirect
9. #21430821C2semidirect
10. #21430819C2semidirect
11. #21430781C2semidirect
12. #21430644C2semidirect
13. #21430632C2semidirect
14. #21430606C2semidirect
15. #21430606C2semidirect
16. #21430580C2semidirect
17. #21430524C2semidirect
18. #21430443C2semidirect
19. #21430068C2semidirect
20. #21430052C2semidirect
21. #21428342C2semidirect
22. #21427920C2semidirect
23. #21427761C2semidirect
24. #21427560C2semidirect
25. #21427489C2semidirect
27. #21427425C2semidirect
28. #21426756C2semidirect
29. #21426707C2semidirect
30. C2×#16837280C2semidirect
31. C59×#2505C2semidirect
34. C2×#14273721C22semidirect
37. C2×#14273712C22semidirect
38. C2×#14273712C22semidirect
39. C2×#14273712C22semidirect
40. C2×#14273712C22semidirect
41. C2×#14273707C22semidirect
42. C2×#14273707C22semidirect
44. C2×#14273705C22semidirect
55. C59⋊#401C22semidirect
56. #16837344C22semidirect
57. #16837343C22semidirect
58. #16837343C22semidirect
59. #16837343C22semidirect
60. #16837342C22semidirect
61. #16837341C22semidirect
62. #16837340C22semidirect
63. #16837340C22semidirect
64. #16837337C22semidirect
65. #16837337C22semidirect
66. #16837336C22semidirect
67. #16837336C22semidirect
68. #16837335C22semidirect
69. #16837333C22semidirect
70. #16837332C22semidirect
71. #16837331C22semidirect
72. #16837331C22semidirect
73. #16837331C22semidirect
74. #16837331C22semidirect
75. #16837331C22semidirect
76. #16837331C22semidirect
77. #16837329C22semidirect
78. #16837328C22semidirect
79. #16837328C22semidirect
80. #16837326C22semidirect
81. #16837326C22semidirect
82. #16837326C22semidirect
83. #16837324C22semidirect
84. #16837324C22semidirect
87. #16837320C22semidirect
88. #16837320C22semidirect
93. #16837319C22semidirect
94. #16837319C22semidirect
95. #16837315C22semidirect
96. #16837315C22semidirect
99. #16837306C22semidirect
100. #16837304C22semidirect
101. #16837304C22semidirect
102. #16837294C22semidirect
103. #16837294C22semidirect
104. #16837293C22semidirect
105. #16837293C22semidirect
106. #16837293C22semidirect
107. #16837293C22semidirect
108. #16837293C22semidirect
109. #16837292C22semidirect
110. #16837291C22semidirect
111. #16837284C22semidirect
126. #16837280C22semidirect
127. #16837280C22semidirect
128. #16837280C22semidirect
129. #16837280C22semidirect
130. #16837280C22semidirect
131. #16837280C22semidirect
136. #16837276C22semidirect
137. #16837276C22semidirect
138. #16837276C22semidirect
139. #16837276C22semidirect
140. #16837276C22semidirect
141. #16837276C22semidirect
142. #16837276C22semidirect
143. #16837276C22semidirect
148. #16837273C22semidirect
149. #16837273C22semidirect
150. #16837273C22semidirect
151. #16837273C22semidirect
152. #16837273C22semidirect
153. #16837273C22semidirect
154. #16837264C22semidirect
155. #16837264C22semidirect
156. #16837264C22semidirect
157. #16837261C22semidirect
158. #16837261C22semidirect
159. #16837261C22semidirect
160. #16837261C22semidirect
163. #16837259C22semidirect
164. #16837259C22semidirect
165. #16837259C22semidirect
166. #16837259C22semidirect
172. C59×#400C22semidirect
173. C59×#400C22semidirect
174. C59×#400C22semidirect
175. C59×#398C22semidirect
176. C59×#389C22semidirect
177. C59×#387C22semidirect
178. C59×#387C22semidirect
183. C59×#382C22semidirect
826. #2505D59semidirect
882. #400C2×D59semidirect
883. #400C2×D59semidirect
884. #400C2×D59semidirect
892. #398C2×D59semidirect
924. #389C2×D59semidirect
935. #387C2×D59semidirect
936. #387C2×D59semidirect
983. #382C2×D59semidirect
1005. C59#36775semidirect

Maximal subgroups

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

subgroupindex
#214323912
#214323842
#214317702
#214313392
#214312852
#214312832
#214312382
#214310702
#214308212
#214308192
#214307812
#214306442
#214306322
#214306062
#214305802
#214305242
#214304432
#214300682
#214300522
#214283422
#214279202
#214277612
#214275602
#214274892
#214274682
#214274252
#214267562
#214267072
C2×#168372802
C59×#25052
#3677559