Finite Group Databasebeta

← #28797126

Subgroups — #28797126

Order 15104.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432410C211yesmaximal, characteristic, complemented
2#21432398C211yesmaximal, characteristic, complemented
3#21431759C211yesmaximal, characteristic, complemented
4#21431716C211yesmaximal, characteristic, complemented
5#21431526C211yesmaximal, characteristic, complemented
6#21431515C211yesmaximal, characteristic, complemented
7#21431484C211yesmaximal, characteristic, complemented
8#21431421C211yesmaximal, characteristic, complemented
9#21431320C211yesmaximal, characteristic, complemented
10#21431234C211yesmaximal, characteristic, complemented
11#21431211C211yesmaximal, characteristic, complemented
12#21431139C211yesmaximal, characteristic, complemented
13#21431136C211yesmaximal, characteristic, complemented
14#21431093C211yesmaximal, characteristic, complemented
15#21430729C211yesmaximal, characteristic, complemented
16#21430485C211yesmaximal, characteristic, complemented
17#21430477C211yesmaximal, characteristic, complemented
18#21429883C211yesmaximal, characteristic, complemented
19#21429843C211yesmaximal, characteristic, complemented
20#21428653C211yesmaximal, characteristic, complemented
21#21428421C211yesmaximal, characteristic, complemented
22#21427849C211yesmaximal, characteristic, complemented
23#21427760C211yesmaximal, characteristic, complemented
24#21427640C211yesmaximal, characteristic, complemented
25#21427489C211yesmaximal, characteristic, complemented
26#21427465C211yesmaximal, characteristic
27#21427418C211yesmaximal, characteristic, complemented
28#21426749C211yesmaximal, characteristic, complemented
29#21426670C211yesmaximal, characteristic, complemented
30#388×D59C211yesmaximal, characteristic, complemented
31C59×#2781C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C2×#14273720C2211yescharacteristic, complemented
34C2×#14273715C2211yescharacteristic, complemented
35C2×#14273712C2211yescharacteristic
36C2×#14273712C2211yescharacteristic, complemented
37C2×#14273709C2211yescharacteristic
38C2×#14273707C2211yescharacteristic, complemented
39C2×#14273704C2211yescharacteristic, complemented
40C2×#14273702C2211yescharacteristic
41C2×#14273700C2211yescharacteristic
42C2×#14273697C2211yescharacteristic
43C2×#14273697C2211yescharacteristic
44C2×#14273689C2211yescharacteristic, complemented
45C2×C4⋊C4×D59C2211yescharacteristic, complemented
46C22×(C2×D59)⋊C4C2211yescharacteristic
47C2×C22⋊C4×D59C2211yescharacteristic
48C2×C22⋊C4×D59C2211yescharacteristic
49C2×C22⋊C4×D59C2211yescharacteristic
50C2×C42×D59C2211yescharacteristic, complemented
51C59⋊#401C2211yescharacteristic, complemented
52#16837344C2211yescharacteristic, complemented
53#16837344C2211yescharacteristic, complemented
54#16837341C2211yescharacteristic, complemented
55#16837341C2211yescharacteristic, complemented
56#16837340C2211yescharacteristic, complemented
57#16837339C2211yescharacteristic
58#16837339C2211yescharacteristic, complemented
59#16837337C2211yescharacteristic, complemented
60#16837336C2211yescharacteristic, complemented
61#16837336C2211yescharacteristic, complemented
62#16837336C2211yescharacteristic, complemented
63#16837335C2211yescharacteristic, complemented
64#16837331C2211yescharacteristic
65#16837331C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837331C2211yescharacteristic, complemented
68#16837331C2211yescharacteristic, complemented
69#16837328C2211yescharacteristic
70#16837328C2211yescharacteristic, complemented
71#16837328C2211yescharacteristic, complemented
72#16837327C2211yescharacteristic, complemented
73#16837325C2211yescharacteristic, complemented
74#16837324C2211yescharacteristic
75#16837324C2211yescharacteristic
76#16837324C2211yescharacteristic, complemented
77#16837324C2211yescharacteristic, complemented
78#16837324C2211yescharacteristic, complemented
79#16837320C2211yescharacteristic
80#16837320C2211yescharacteristic, complemented
81#16837319C2211yescharacteristic
82#16837318C2211yescharacteristic
83#16837318C2211yescharacteristic, complemented
84#16837318C2211yescharacteristic, complemented
85#16837317C2211yescharacteristic
86#16837317C2211yescharacteristic
87#16837317C2211yescharacteristic, complemented
88#16837316C2211yescharacteristic
89#16837315C2211yescharacteristic
90#16837314C2211yescharacteristic, complemented
91#16837311C2211yescharacteristic
92#16837310C2211yescharacteristic
93#16837307C2211yescharacteristic, complemented
94#16837306C2211yescharacteristic, complemented
95#16837304C2211yescharacteristic
96#16837303C2211yescharacteristic, complemented
97#16837302C2211yescharacteristic, complemented
98#16837297C2211yescharacteristic, complemented
99#16837296C2211yescharacteristic, complemented
100#16837296C2211yescharacteristic, complemented
101#16837295C2211yescharacteristic, complemented
102#16837295C2211yescharacteristic, complemented
103#16837295C2211yescharacteristic, complemented
104#16837295C2211yescharacteristic, complemented
105#16837294C2211yescharacteristic
106#16837294C2211yescharacteristic, complemented
107#16837294C2211yescharacteristic, complemented
108#16837294C2211yescharacteristic, complemented
109#16837294C2211yescharacteristic, complemented
110#16837294C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic
112#16837293C2211yescharacteristic, complemented
113#16837292C2211yescharacteristic
114#16837292C2211yescharacteristic
115#16837292C2211yescharacteristic, complemented
116#16837291C2211yescharacteristic
117#16837291C2211yescharacteristic
118#16837290C2211yescharacteristic, complemented
119#16837290C2211yescharacteristic, complemented
120#16837288C2211yescharacteristic, complemented
121#16837287C2211yescharacteristic, complemented
122#16837286C2211yescharacteristic, complemented
123#16837285C2211yescharacteristic, complemented
124#16837282C2211yescharacteristic
125#16837281C2211yescharacteristic
126#16837281C2211yescharacteristic, complemented
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic, complemented
135#16837280C2211yescharacteristic, complemented
136#16837279C2211yescharacteristic
137#16837279C2211yescharacteristic, complemented
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic, complemented
143#16837278C2211yescharacteristic, complemented
144#16837277C2211yescharacteristic, complemented
145#16837276C2211yescharacteristic
146#16837276C2211yescharacteristic, complemented
147#16837276C2211yescharacteristic, complemented
148#16837276C2211yescharacteristic, complemented
149#16837273C2211yescharacteristic
150#16837273C2211yescharacteristic
151#16837273C2211yescharacteristic, complemented
152#16837269C2211yescharacteristic, complemented
153#16837269C2211yescharacteristic, complemented
154#16837268C2211yescharacteristic, complemented
155#16837264C2211yescharacteristic
156#16837264C2211yescharacteristic
157#16837264C2211yescharacteristic, complemented
158#16837264C2211yescharacteristic, complemented
159#16837262C2211yescharacteristic, complemented
160#16837260C2211yescharacteristic, complemented
161#16837259C2211yescharacteristic, complemented
162#16837259C2211yescharacteristic, complemented
163#16837257C2211yescharacteristic
164#16837257C2211yescharacteristic
165#16837257C2211yescharacteristic
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic
168#16837257C2211yescharacteristic
169C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
170#95×D59C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic, complemented
172C59×#400C2211yescharacteristic, complemented
173C59×#398C2211yescharacteristic, complemented
174C59×#397C2211yescharacteristic, complemented
175C59×#396C2211yescharacteristic, complemented
176C59×#394C2211yescharacteristic
177C59×#394C2211yescharacteristic
178C59×#388C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic
184C59×#385C2211yescharacteristic, complemented
185C59×#382C2211yescharacteristic, complemented
186C59×#380C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C2×D4×D59—24no—
199C2×D4×D59—42no—
200C2×D4×D59—42no—
201C23×Dic59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210#14273720—42no—
211#14273715—42no—
212#14273712—42no—
213#14273712—42no—
214#14273709—42no—
215#14273707—42no—
216#14273704—42no—
217#14273702—42no—
218#14273700—42no—
219#14273697—24no—
220#14273697—42no—
221#14273689—42no—
222C2×C4⋊Dic59C2311yescharacteristic
223C2×C4⋊Dic59C2311yescharacteristic
224C2×C4⋊Dic59C2311yescharacteristic
225C2×C4⋊Dic59C2311yescharacteristic
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×C4⋊Dic59C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
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
240C4⋊C4×D59—42no—
241C2×C22⋊Dic59C2311yescharacteristic
242C2×C22⋊Dic59C2311yescharacteristic
243C2×C22⋊Dic59C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×(C2×D59)⋊C4—42no—
251C2×(C2×D59)⋊C4C2311yescharacteristic
252C2×(C2×D59)⋊C4C2311yescharacteristic
253C2×(C2×D59)⋊C4C2311yescharacteristic
254C2×(C2×D59)⋊C4C2311yescharacteristic
255C2×(C2×D59)⋊C4C2311yescharacteristic
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
287C22⋊C4×D59—24no—
288C22⋊C4×D59—42no—
289C22⋊C4×D59—42no—
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C42×D59—42no—
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
328C22×D4×C59C2311yescharacteristic
329C23×C4×C59C2311yescharacteristic
330C2×C4⋊C4×C59C2311yescharacteristic
331C2×C4⋊C4×C59C2311yescharacteristic
332C2×C4⋊C4×C59C2311yescharacteristic
333C2×C4⋊C4×C59C2311yescharacteristic
334C2×C4⋊C4×C59C2311yescharacteristic
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C22⋊C4×C59C2311yescharacteristic
339C2×C22⋊C4×C59C2311yescharacteristic
340C2×C22⋊C4×C59C2311yescharacteristic
341C2×C22⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C42×C59C2311yescharacteristic
350C2×C42×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×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
363C24×C59C2411yescharacteristic
364C24×C59C2411yescharacteristic
365C23×D59—22no—
366C23×D59—22no—
367C23×D59—22no—
368C23×D59—41no—
369C23×D59—41no—
370C23×D59—41no—
371C23×D59—41no—
372C23×D59—41no—
373C23×D59—41no—
374C23×D59—41no—
375C23×D59—41no—
376C23×D59—41no—
377C23×D59—41no—
378C23×D59#4114yes—
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C23×D59C2411yescharacteristic
383C2×D4×C59—22no—
384C2×D4×C59—41no—
385C2×D4×C59—41no—
386C22×C4×C59—41no—
387C22×C4×C59—41no—
388C22×C4×C59—41no—
389C22×C4×C59C2411yescharacteristic
390C22×C4×C59C2411yescharacteristic
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
402C2×C22⋊D59—22no—
403C2×C22⋊D59—22no—
404C2×C22⋊D59—22no—
405C2×C22⋊D59—22no—
406C2×C22⋊D59—22no—
407C2×C22⋊D59—41no—
408C2×C22⋊D59—41no—
409C2×C22⋊D59—41no—
410C2×C22⋊D59—41no—
411C2×C22⋊D59—41no—
412C2×C22⋊D59—41no—
413C2×C22⋊D59—41no—
414C22×Dic59—41no—
415C22×Dic59—41no—
416C22×Dic59—41no—
417C22×Dic59C2411yescharacteristic
418C22×Dic59C2411yescharacteristic
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429D4×D59—416no—
430C2×D236—22no—
431C2×D236—22no—
432C2×D236—22no—
433C2×D236—22no—
434C2×D236—22no—
435C2×D236—22no—
436C2×D236—22no—
437C2×D236—22no—
438C2×D236—41no—
439C2×D236—41no—
440C2×D236—41no—
441C2×D236—41no—
442C2×C4×D59—22no—
443C2×C4×D59—22no—
444C2×C4×D59—22no—
445C2×C4×D59—22no—
446C2×C4×D59—22no—
447C2×C4×D59—22no—
448C2×C4×D59—22no—
449C2×C4×D59—22no—
450C2×C4×D59—22no—
451C2×C4×D59—22no—
452C2×C4×D59—41no—
453C2×C4×D59—41no—
454C2×C4×D59—41no—
455C2×C4×D59—41no—
456C2×C4×D59—41no—
457C2×C4×D59—41no—
458C2×C4×D59—41no—
459C2×C4×D59—41no—
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×Dic118—22no—
467C2×Dic118—41no—
468C2×Dic118—41no—
469C4⋊C4×C59—41no—
470C4⋊C4×C59—41no—
471C4⋊C4×C59—41no—
472C4⋊C4×C59—41no—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C4⋊C4×C59—41no—
476C4⋊C4×C59—41no—
477C22⋊C4×C59—22no—
478C22⋊C4×C59—22no—
479C22⋊C4×C59—22no—
480C22⋊C4×C59—22no—
481C22⋊C4×C59—41no—
482C22⋊C4×C59—41no—
483C22⋊C4×C59—41no—
484C22⋊C4×C59—41no—
485C22⋊C4×C59—41no—
486C22⋊C4×C59—41no—
487C22⋊C4×C59—41no—
488C42×C59—22no—
489C42×C59—41no—
490C22⋊Dic59—22no—
491C22⋊Dic59—41no—
492C22⋊Dic59—41no—
493C22⋊Dic59—41no—
494C22⋊Dic59—41no—
495C22⋊Dic59—41no—
496C22⋊Dic59—41no—
497C22⋊Dic59—41no—
498C22⋊Dic59—41no—
499(C2×D59)⋊C4—22no—
500(C2×D59)⋊C4—22no—
501(C2×D59)⋊C4—22no—
502(C2×D59)⋊C4—22no—
503(C2×D59)⋊C4—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—41no—
509(C2×D59)⋊C4—41no—
510(C2×D59)⋊C4—41no—
511(C2×D59)⋊C4—41no—
512(C2×D59)⋊C4—41no—
513(C2×D59)⋊C4—41no—
514(C2×D59)⋊C4—41no—
515(C2×D59)⋊C4—41no—
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—
535C4⋊Dic59—41no—
536C4⋊Dic59—41no—
537C4⋊Dic59—41no—
538C4⋊Dic59—41no—
539C4⋊Dic59—41no—
540C4⋊Dic59—41no—
541C4⋊Dic59—41no—
542C4⋊Dic59—41no—
543Dic59⋊C4—22no—
544Dic59⋊C4—41no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552Dic59⋊C4—41no—
553C4×Dic59—22no—
554C4×Dic59—41no—
555C4×Dic59—41no—
556C4×Dic59—41no—
557C4×Dic59—41no—
558C23×C59—21no—
559C23×C59—21no—
560C23×C59—21no—
561C23×C59—21no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59C2×#4112yes—
572C23×C59C2511yescharacteristic
573C22×D59—21no—
574C22×D59—21no—
575C22×D59—21no—
576C22×D59—21no—
577C22×D59—21no—
578C22×D59—21no—
579C22×D59—21no—
580C22×D59—21no—
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—28no—
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—44no—
599C22×D59—44no—
600C22×D59—44no—
601C22×D59—82no—
602C22×D59—82no—
603C22×D59—82no—
604C22×D59—82no—
605C22×D59—82no—
606C22×D59—82no—
607C22×D59—82no—
608C22×D59—82no—
609C22×D59—82no—
610C22×D59—82no—
611C22×D59C2×#4112yes—
612C22×D59C2×#4112yes—
613C22×D59H(5,𝔽2)12yes—
614C22×D59H(5,𝔽2)12yes—
615D4×C59—44no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
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—82no—
655C2×C4×C59H(5,𝔽2)12yes—
656C22⋊D59—44no—
657C22⋊D59—44no—
658C22⋊D59—82no—
659C22⋊D59—82no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—82no—
697D236—44no—
698D236—44no—
699D236—82no—
700D236—82no—
701C4×D59—44no—
702C4×D59—44no—
703C4×D59—44no—
704C4×D59—44no—
705C4×D59—44no—
706C4×D59—82no—
707C4×D59—82no—
708C4×D59—82no—
709Dic118—82no—
710#36779—591nomaximal, Sylow
711C22×C59—22no—
712C22×C59—22no—
713C22×C59—22no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59—41no—
720C22×C59—41no—
721C22×C59—41no—
722C22×C59—41no—
723C22×C59—41no—
724C22×C59—41no—
725C22×C59C22×#4111yescharacteristic
726C22×C59C2×H(5,𝔽2)11yescharacteristic
727C22×C59C2×H(5,𝔽2)11yescharacteristic
728C22×C59C2×H(5,𝔽2)11yescharacteristic
729C22×C59#58511yescharacteristic
730C22×C59#58511yescharacteristic
731C22×C59#58511yescharacteristic
732C2×D59—22no—
733C2×D59—22no—
734C2×D59—22no—
735C2×D59—22no—
736C2×D59—22no—
737C2×D59—22no—
738C2×D59—22no—
739C2×D59—22no—
740C2×D59—22no—
741C2×D59—41no—
742C2×D59—41no—
743C2×D59—41no—
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—88no—
760C2×D59—88no—
761C2×D59#53814yes—
762C4×C59—22no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768C4×C59—41no—
769C4×C59—41no—
770C4×C59—41no—
771C4×C59—41no—
772C4×C59—41no—
773C4×C59—41no—
774C4×C59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780Dic59—41no—
781Dic59—41no—
782Dic59—41no—
783Dic59—41no—
784Dic59—41no—
785Dic59—41no—
786Dic59—41no—
787#2852—591no—
788#2850—591no—
789#2781—591no—
790#2781D5911yescharacteristic, complemented
791#2778—591no—
792#2765—591no—
793#2764—591no—
794#2761—591no—
795#2756—591no—
796#2749—591no—
797#2743—591no—
798#2741—591no—
799#2735—591no—
800#2735—591no—
801#2730—591no—
802#2702—591no—
803#2685—591no—
804#2684—591no—
805#2623—591no—
806#2618—591no—
807#2510—591no—
808#2488—591no—
809#2444—591no—
810#2437—591no—
811#2425—591no—
812#2412—591no—
813#2410—591no—
814#2405—591no—
815#2321—591no—
816#2308—591no—
817C2×#388—591no—
818C2×C59—42no—
819C2×C59—81no—
820C2×C59C2×#53811yescharacteristic
821C2×C59#349111yescharacteristic
822C2×C59#350511yescharacteristic
823C2×C59#353411yescharacteristic
824C2×C59#354211yescharacteristic
825C2×C59#354511yescharacteristic
826C2×C59#356011yescharacteristic
827D59—24no—
828D59—42no—
829D59—81no—
830D59—81no—
831C23×D4—591no—
832C2×#126—591no—
833C2×#124—591no—
834C2×#123—591no—
835C2×#123—591no—
836C2×#123—591no—
837C2×C22⋊Q8—591no—
838C2×C22⋊Q8—591no—
839C2×#121—591no—
840C2×#121—591no—
841C2×#120—591no—
842C2×#120—591no—
843C2×C4×D4—591no—
844C22×C4⋊C4—591no—
845C22×C22⋊C4—591no—
846C22×C22⋊C4—591no—
847C22×C22⋊C4—591no—
848C22×C22⋊C4—591no—
849C22×C42—591no—
850#401—591no—
851#400—591no—
852#400—591no—
853#400—591no—
854#400—591no—
855#400—591no—
856#400C2×D5911yescharacteristic, complemented
857#399—591no—
858#399—591no—
859#399—591no—
860#398—591no—
861#398—591no—
862#398—591no—
863#398—591no—
864#398C2×D5911yescharacteristic, complemented
865#397—591no—
866#397—591no—
867#397—591no—
868#397—591no—
869#397—591no—
870#397—591no—
871#397—591no—
872#397—591no—
873#397—591no—
874#397C2×D5911yescharacteristic, complemented
875#396—591no—
876#396—591no—
877#396—591no—
878#396—591no—
879#396—591no—
880#396—591no—
881#396C2×D5911yescharacteristic, complemented
882#394—591no—
883#394—591no—
884#394—591no—
885#394—591no—
886#394—591no—
887#394—591no—
888#394—591no—
889#394—591no—
890#394—591no—
891#394—591no—
892#394C2×D5911yescharacteristic
893#394C2×D5911yescharacteristic
894#393—591no—
895#393—591no—
896#392—591no—
897#392—591no—
898#391—591no—
899#391—591no—
900#390—591no—
901#390—591no—
902#390—591no—
903#389—591no—
904#388—591no—
905#388—591no—
906#388—591no—
907#388—591no—
908#388—591no—
909#388—591no—
910#388—591no—
911#388—591no—
912#388—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388C2×D5911yescharacteristic, complemented
926#388C2×D5911yescharacteristic, complemented
927#388C2×D5911yescharacteristic, complemented
928#388C2×D5911yescharacteristic, complemented
929#387—591no—
930#387—591no—
931#387—591no—
932#387—591no—
933#387C2×D5911yescharacteristic, complemented
934#386—591no—
935#386—591no—
936#386—591no—
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#386C2×D5911yescharacteristic
955#385—591no—
956#385—591no—
957#385—591no—
958#385—591no—
959#385—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385C2×D5911yescharacteristic, complemented
964#383—591no—
965#383—591no—
966#382—591no—
967#382C2×D5911yescharacteristic, complemented
968#381—591no—
969#381—591no—
970#381—591no—
971#381—591no—
972#380—591no—
973#380—591no—
974#380—591no—
975#380—591no—
976#380C2×D5911yescharacteristic, complemented
977#379—591no—
978#379—591no—
979#379—591no—
980#379—591no—
981#379—591no—
982#379—591no—
983C4×C22⋊C4—591no—
984C2×#95—591no—
985C2×#95—591no—
986C59#3677911yescharacteristic, complemented, Sylow
987C25—591no—
988C25—591no—
989C22×Q8—591no—
990C22×D4—591no—
991C22×D4—591no—
992C22×D4—591no—
993C22×D4—591no—
994C22×D4—591no—
995C22×D4—591no—
996C22×D4—591no—
997C22×D4—591no—
998C22×D4—1184no—
999C22×D4—2362no—
1000C22×D4—2362no—
1001C22×D4C22×D5911yescharacteristic
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4—591no—
1007C23×C4—591no—
1008C23×C4—591no—
1009C23×C4—591no—
1010C23×C4—591no—
1011C23×C4C22×D5911yescharacteristic
1012#126—2362no—
1013#124—2362no—
1014#123—2362no—
1015#123—2362no—
1016#123—2362no—
1017C22⋊Q8—2362no—
1018C22⋊Q8—2362no—
1019#121—2362no—
1020#121—2362no—
1021#120—1184no—
1022#120—2362no—
1023C4×D4—2362no—
1024C2×C4⋊C4—591no—
1025C2×C4⋊C4—591no—
1026C2×C4⋊C4—591no—
1027C2×C4⋊C4—591no—
1028C2×C4⋊C4—591no—
1029C2×C4⋊C4—591no—
1030C2×C4⋊C4—591no—
1031C2×C4⋊C4—591no—
1032C2×C4⋊C4—591no—
1033C2×C4⋊C4—591no—
1034C2×C4⋊C4—591no—
1035C2×C4⋊C4—591no—
1036C2×C4⋊C4—591no—
1037C2×C4⋊C4—591no—
1038C2×C4⋊C4—591no—
1039C2×C4⋊C4—591no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—2362no—
1043C2×C4⋊C4C22×D5911yescharacteristic
1044C2×C4⋊C4C22×D5911yescharacteristic
1045C2×C4⋊C4C22×D5911yescharacteristic
1046C2×C4⋊C4C22×D5911yescharacteristic
1047C2×C4⋊C4C22×D5911yescharacteristic
1048C2×C4⋊C4C22×D5911yescharacteristic
1049C2×C4⋊C4C22×D5911yescharacteristic
1050C2×C4⋊C4C22×D5911yescharacteristic
1051C2×C22⋊C4—591no—
1052C2×C22⋊C4—591no—
1053C2×C22⋊C4—591no—
1054C2×C22⋊C4—591no—
1055C2×C22⋊C4—591no—
1056C2×C22⋊C4—591no—
1057C2×C22⋊C4—591no—
1058C2×C22⋊C4—591no—
1059C2×C22⋊C4—591no—
1060C2×C22⋊C4—591no—
1061C2×C22⋊C4—591no—
1062C2×C22⋊C4—591no—
1063C2×C22⋊C4—591no—
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—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—1184no—
1097C2×C22⋊C4—2362no—
1098C2×C22⋊C4—2362no—
1099C2×C22⋊C4—2362no—
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C22⋊C4C22×D5911yescharacteristic
1104C2×C22⋊C4C22×D5911yescharacteristic
1105C2×C22⋊C4C22×D5911yescharacteristic
1106C2×C22⋊C4C22×D5911yescharacteristic
1107C2×C22⋊C4C22×D5911yescharacteristic
1108C2×C22⋊C4C22×D5911yescharacteristic
1109C2×C22⋊C4C22×D5911yescharacteristic
1110C2×C22⋊C4C22×D5911yescharacteristic
1111C2×C42—591no—
1112C2×C42—591no—
1113C2×C42—591no—
1114C2×C42—591no—
1115C2×C42—591no—
1116C2×C42—2362no—
1117C2×C42C22×D5911yescharacteristic
1118C2×C42C22×D5911yescharacteristic
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95—591no—
1125#95—591no—
1126#95—591no—
1127#95—591no—
1128#95—591no—
1129#95—591no—
1130#95—591no—
1131#95—591no—
1132#95—591no—
1133#95—591no—
1134#95—591no—
1135#95—591no—
1136#95—591no—
1137#95—591no—
1138#95—591no—
1139#95—591no—
1140#95—591no—
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95C22×D5911yescharacteristic
1152#95C22×D5911yescharacteristic
1153#95C22×D5911yescharacteristic
1154#95C22×D5911yescharacteristic
1155#95C22×D5911yescharacteristic
1156#95C22×D5911yescharacteristic
1157#95C22×D5911yescharacteristic
1158#95C22×D5911yescharacteristic
1159#95C22×D5911yescharacteristic
1160#95C22×D5911yescharacteristic
1161#95C22×D5911yescharacteristic
1162#95C22×D5911yescharacteristic
1163C24—591no—
1164C24—591no—
1165C24—594no—
1166C24—591no—
1167C24—591no—
1168C24—1182no—
1169C24—1182no—
1170C24—1182no—
1171C24—2361no—
1172C24—2361no—
1173C24—2361no—
1174C24—2361no—
1175C24—2361no—
1176C24—2361no—
1177C24—2361no—
1178C24—2361no—
1179C24—2361no—
1180C24—2361no—
1181C24C23×D5911yescharacteristic
1182C24C23×D5911yescharacteristic
1183C2×Q8—1182no—
1184C2×Q8—2361no—
1185C2×Q8—2361no—
1186C2×D4—22no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—1182no—
1190C2×D4—1182no—
1191C2×D4—1182no—
1192C2×D4—1182no—
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—2361no—
1203C2×D4—2361no—
1204C2×D4—2361no—
1205C2×D4—2361no—
1206C2×D4—2361no—
1207C2×D4—2361no—
1208C2×D4—2361no—
1209C2×D4—2361no—
1210C2×D4—2361no—
1211C2×D4—2361no—
1212C2×D4—2361no—
1213C2×D4—23616no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—591no—
1218C22×C4—591no—
1219C22×C4—591no—
1220C22×C4—591no—
1221C22×C4—591no—
1222C22×C4—591no—
1223C22×C4—591no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
1229C22×C4—1182no—
1230C22×C4—1182no—
1231C22×C4—1182no—
1232C22×C4—1182no—
1233C22×C4—1182no—
1234C22×C4—1182no—
1235C22×C4—1182no—
1236C22×C4—1182no—
1237C22×C4—1182no—
1238C22×C4—1182no—
1239C22×C4—2361no—
1240C22×C4—2361no—
1241C22×C4—2361no—
1242C22×C4—2361no—
1243C22×C4—2361no—
1244C22×C4—2361no—
1245C22×C4—2361no—
1246C22×C4—2361no—
1247C22×C4—2361no—
1248C22×C4—2361no—
1249C22×C4—2361no—
1250C22×C4—2361no—
1251C22×C4—2361no—
1252C22×C4—2361no—
1253C22×C4—2361no—
1254C22×C4—2361no—
1255C22×C4—2361no—
1256C22×C4C23×D5911yescharacteristic
1257C22×C4C23×D5911yescharacteristic
1258C22×C4C23×D5911yescharacteristic
1259C22×C4C23×D5911yescharacteristic
1260C22×C4C23×D5911yescharacteristic
1261C22×C4C23×D5911yescharacteristic
1262C22×C4C23×D5911yescharacteristic
1263C22×C4C23×D5911yescharacteristic
1264C22×C4C23×D5911yescharacteristic
1265C22×C4C23×D5911yescharacteristic
1266C22×C4C23×D5911yescharacteristic
1267C22×C4C23×D5911yescharacteristic
1268C22×C4C23×D5911yescharacteristic
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—1182no—
1278C4⋊C4—2361no—
1279C4⋊C4—2361no—
1280C4⋊C4—2361no—
1281C4⋊C4—2361no—
1282C4⋊C4—2361no—
1283C4⋊C4—2361no—
1284C4⋊C4—2361no—
1285C4⋊C4—2361no—
1286C4⋊C4—2361no—
1287C4⋊C4—2361no—
1288C4⋊C4—2361no—
1289C4⋊C4—2361no—
1290C4⋊C4—2361no—
1291C4⋊C4—2361no—
1292C4⋊C4—2361no—
1293C4⋊C4—2361no—
1294C4⋊C4—2361no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—1182no—
1307C22⋊C4—1182no—
1308C22⋊C4—1182no—
1309C22⋊C4—1182no—
1310C22⋊C4—1182no—
1311C22⋊C4—1182no—
1312C22⋊C4—1182no—
1313C22⋊C4—1182no—
1314C22⋊C4—1182no—
1315C22⋊C4—1182no—
1316C22⋊C4—2361no—
1317C22⋊C4—2361no—
1318C22⋊C4—2361no—
1319C22⋊C4—2361no—
1320C22⋊C4—2361no—
1321C22⋊C4—2361no—
1322C22⋊C4—2361no—
1323C22⋊C4—2361no—
1324C22⋊C4—2361no—
1325C22⋊C4—2361no—
1326C22⋊C4—2361no—
1327C22⋊C4—2361no—
1328C22⋊C4—2361no—
1329C22⋊C4—2361no—
1330C22⋊C4—2361no—
1331C22⋊C4—2361no—
1332C22⋊C4—2361no—
1333C22⋊C4—2361no—
1334C22⋊C4—2361no—
1335C22⋊C4—2361no—
1336C22⋊C4—2361no—
1337C22⋊C4—2361no—
1338C22⋊C4—2361no—
1339C22⋊C4—2361no—
1340C22⋊C4—2361no—
1341C22⋊C4—2361no—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C22⋊C4—2361no—
1345C22⋊C4—2361no—
1346C22⋊C4—2361no—
1347C22⋊C4—2361no—
1348C22⋊C4—2361no—
1349C22⋊C4—2361no—
1350C22⋊C4—2361no—
1351C42—22no—
1352C42—41no—
1353C42—1182no—
1354C42—2361no—
1355C42—2361no—
1356C42—2361no—
1357C42—2361no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—592no—
1372C23—592no—
1373C23—592no—
1374C23—592no—
1375C23—1188no—
1376C23—1181no—
1377C23—1181no—
1378C23—1181no—
1379C23—1181no—
1380C23—1181no—
1381C23—1181no—
1382C23—1181no—
1383C23—1181no—
1384C23—1181no—
1385C23—1181no—
1386C23—1181no—
1387C23—1181no—
1388C23—1181no—
1389C23—1181no—
1390C23—1181no—
1391C23—1181no—
1392C23—1181no—
1393C23—1181no—
1394C23—1181no—
1395C23—1181no—
1396C23—1181no—
1397C23—1181no—
1398C23—1181no—
1399C23—1181no—
1400C23—4722no—
1401C23—4722no—
1402C23—4722no—
1403C23—4722no—
1404C23—4722no—
1405C23—4722no—
1406C23—4722no—
1407C23—4722no—
1408C23—4722no—
1409C23—4722no—
1410C23—2364no—
1411C23—2364no—
1412C23—2364no—
1413C23#41×D5912yes—
1414C23C24×D5911yescharacteristic
1415Q8—4722no—
1416D4—44no—
1417D4—4722no—
1418D4—4722no—
1419D4—4722no—
1420D4—4722no—
1421D4—2364no—
1422D4—2364no—
1423D4—2364no—
1424D4—2364no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—82no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
1468C2×C4—1181no—
1469C2×C4—1181no—
1470C2×C4—1181no—
1471C2×C4—1181no—
1472C2×C4—1181no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—4722no—
1501C2×C4—4722no—
1502C2×C4—4722no—
1503C2×C4—4722no—
1504C2×C4—2364no—
1505C2×C4—2364no—
1506C2×C4—2364no—
1507C2×C4—2364no—
1508C2×C4—2364no—
1509C2×C4#1427377312yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—594no—
1525C22—1182no—
1526C22—1182no—
1527C22—1182no—
1528C22—1182no—
1529C22—1182no—
1530C22—1182no—
1531C22—1182no—
1532C22—1182no—
1533C22—1182no—
1534C22—4728no—
1535C22—4728no—
1536C22—2361no—
1537C22—2361no—
1538C22—2361no—
1539C22—2361no—
1540C22—2361no—
1541C22—2361no—
1542C22—2361no—
1543C22—2361no—
1544C22—2361no—
1545C22—2361no—
1546C22—2361no—
1547C22—2361no—
1548C22—2361no—
1549C22—2361no—
1550C22—2361no—
1551C22—2361no—
1552C22—2361no—
1553C22—2361no—
1554C22C2×#41×D5911yescharacteristic
1555C22H(5,𝔽2)×D5911yescharacteristic
1556C22H(5,𝔽2)×D5911yescharacteristic
1557C22C2×#1427377311yescharacteristic
1558C22#1683823711yescharacteristic
1559C22#1683823811yescharacteristic
1560C22#1683823911yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—2361no—
1575C4—2361no—
1576C4—2361no—
1577C4—2361no—
1578C4—2361no—
1579C4—2361no—
1580C4—2361no—
1581C4—2361no—
1582C4—2361no—
1583C4—2361no—
1584C4—2361no—
1585C4—2361no—
1586C2—42no—
1587C2—81no—
1588C2—1184no—
1589C2—4721no—
1590C2—4721no—
1591C2—2362no—
1592C2#538×D5911yescharacteristic
1593C2#2143779111yescharacteristic
1594C2#2143792511yescharacteristic
1595C2#2143828411yescharacteristic
1596C2#2143841911yescharacteristic
1597C2#2143844611yescharacteristic
1598C2#2143864111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2781C2
prime radical#21427465C2
hypercenter#2781D59
hypocenterC59#36779
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2781

Complements

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

NH ≅ G/Ntype
1. #21432410C2semidirect
2. #21432398C2semidirect
3. #21431759C2semidirect
4. #21431716C2semidirect
5. #21431526C2semidirect
6. #21431515C2semidirect
7. #21431484C2semidirect
8. #21431421C2semidirect
9. #21431320C2semidirect
10. #21431234C2semidirect
11. #21431211C2semidirect
12. #21431139C2semidirect
13. #21431136C2semidirect
14. #21431093C2semidirect
15. #21430729C2semidirect
16. #21430485C2semidirect
17. #21430477C2semidirect
18. #21429883C2semidirect
19. #21429843C2semidirect
20. #21428653C2semidirect
21. #21428421C2semidirect
22. #21427849C2semidirect
23. #21427760C2semidirect
24. #21427640C2semidirect
25. #21427489C2semidirect
27. #21427418C2semidirect
28. #21426749C2semidirect
29. #21426670C2semidirect
30. #388×D59C2semidirect
31. C59×#2781C2semidirect
33. C2×#14273720C22semidirect
34. C2×#14273715C22semidirect
36. C2×#14273712C22semidirect
38. C2×#14273707C22semidirect
39. C2×#14273704C22semidirect
44. C2×#14273689C22semidirect
45. C2×C4⋊C4×D59C22semidirect
50. C2×C42×D59C22semidirect
51. C59⋊#401C22semidirect
52. #16837344C22semidirect
53. #16837344C22semidirect
54. #16837341C22semidirect
55. #16837341C22semidirect
56. #16837340C22semidirect
58. #16837339C22semidirect
59. #16837337C22semidirect
60. #16837336C22semidirect
61. #16837336C22semidirect
62. #16837336C22semidirect
63. #16837335C22semidirect
65. #16837331C22semidirect
66. #16837331C22semidirect
67. #16837331C22semidirect
68. #16837331C22semidirect
70. #16837328C22semidirect
71. #16837328C22semidirect
72. #16837327C22semidirect
73. #16837325C22semidirect
76. #16837324C22semidirect
77. #16837324C22semidirect
78. #16837324C22semidirect
80. #16837320C22semidirect
83. #16837318C22semidirect
84. #16837318C22semidirect
87. #16837317C22semidirect
90. #16837314C22semidirect
93. #16837307C22semidirect
94. #16837306C22semidirect
96. #16837303C22semidirect
97. #16837302C22semidirect
98. #16837297C22semidirect
99. #16837296C22semidirect
100. #16837296C22semidirect
101. #16837295C22semidirect
102. #16837295C22semidirect
103. #16837295C22semidirect
104. #16837295C22semidirect
106. #16837294C22semidirect
107. #16837294C22semidirect
108. #16837294C22semidirect
109. #16837294C22semidirect
110. #16837294C22semidirect
112. #16837293C22semidirect
115. #16837292C22semidirect
118. #16837290C22semidirect
119. #16837290C22semidirect
120. #16837288C22semidirect
121. #16837287C22semidirect
122. #16837286C22semidirect
123. #16837285C22semidirect
126. #16837281C22semidirect
133. #16837280C22semidirect
134. #16837280C22semidirect
135. #16837280C22semidirect
137. #16837279C22semidirect
142. #16837278C22semidirect
143. #16837278C22semidirect
144. #16837277C22semidirect
146. #16837276C22semidirect
147. #16837276C22semidirect
148. #16837276C22semidirect
151. #16837273C22semidirect
152. #16837269C22semidirect
153. #16837269C22semidirect
154. #16837268C22semidirect
157. #16837264C22semidirect
158. #16837264C22semidirect
159. #16837262C22semidirect
160. #16837260C22semidirect
161. #16837259C22semidirect
162. #16837259C22semidirect
169. C4×(C2×D59)⋊C4C22semidirect
170. #95×D59C22semidirect
171. #95×D59C22semidirect
172. C59×#400C22semidirect
173. C59×#398C22semidirect
174. C59×#397C22semidirect
175. C59×#396C22semidirect
178. C59×#388C22semidirect
179. C59×#388C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
182. C59×#387C22semidirect
184. C59×#385C22semidirect
185. C59×#382C22semidirect
186. C59×#380C22semidirect
790. #2781D59semidirect
856. #400C2×D59semidirect
864. #398C2×D59semidirect
874. #397C2×D59semidirect
881. #396C2×D59semidirect
925. #388C2×D59semidirect
926. #388C2×D59semidirect
927. #388C2×D59semidirect
928. #388C2×D59semidirect
933. #387C2×D59semidirect
963. #385C2×D59semidirect
967. #382C2×D59semidirect
976. #380C2×D59semidirect
986. C59#36779semidirect

Maximal subgroups

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

subgroupindex
#214324102
#214323982
#214317592
#214317162
#214315262
#214315152
#214314842
#214314212
#214313202
#214312342
#214312112
#214311392
#214311362
#214310932
#214307292
#214304852
#214304772
#214298832
#214298432
#214286532
#214284212
#214278492
#214277602
#214276402
#214274892
#214274652
#214274182
#214267492
#214266702
#388×D592
C59×#27812
#3677959