Finite Group Databasebeta

← #28761924

Subgroups — #28761924

Order 15104.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432402C211yesmaximal, characteristic, complemented
2#21432393C211yesmaximal, characteristic, complemented
3#21432382C211yesmaximal, characteristic, complemented
4#21432377C211yesmaximal, characteristic
5#21430052C211yesmaximal, characteristic, complemented
6#21430051C211yesmaximal, characteristic, complemented
7#21429874C211yesmaximal, characteristic, complemented
8#21429873C211yesmaximal, characteristic, complemented
9#21429645C211yesmaximal, characteristic, complemented
10#21429643C211yesmaximal, characteristic, complemented
11#21429615C211yesmaximal, characteristic, complemented
12#21429613C211yesmaximal, characteristic, complemented
13#21429428C211yesmaximal, characteristic, complemented
14#21429426C211yesmaximal, characteristic, complemented
15#21429398C211yesmaximal, characteristic, complemented
16#21429396C211yesmaximal, characteristic, complemented
17#21428506C211yesmaximal, characteristic, complemented
18#21428495C211yesmaximal, characteristic, complemented
19#21428447C211yesmaximal, characteristic, complemented
20#21428436C211yesmaximal, characteristic, complemented
21#21427672C211yesmaximal, characteristic, complemented
22#21427661C211yesmaximal, characteristic, complemented
23#21427598C211yesmaximal, characteristic, complemented
24#21427587C211yesmaximal, characteristic, complemented
25#21426756C211yesmaximal, characteristic, complemented
26#21426750C211yesmaximal, characteristic, complemented
27#21426730C211yesmaximal, characteristic, complemented
28C4×#14273704C211yesmaximal, characteristic, complemented
29C4×#14273699C211yesmaximal, characteristic, complemented
30C2×#16837249C211yesmaximal, characteristic, complemented
31C59×#2318C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C2×#14273717C2211yescharacteristic, complemented
34C2×#14273713C2211yescharacteristic, complemented
35C2×#14273705C2211yescharacteristic
36C2×#14273705C2211yescharacteristic
37C2×#14273704C2211yescharacteristic
38C2×#14273700C2211yescharacteristic
39C2×#14273700C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273697C2211yescharacteristic
42C2×#14273695C2211yescharacteristic
43C2×C4×Dic118C2211yescharacteristic, complemented
44C2×C4×C22⋊D59C2211yescharacteristic
45C2×C4×C22⋊D59C2211yescharacteristic, complemented
46C22×(C2×D59)⋊C4C2211yescharacteristic
47C22×(C2×D59)⋊C4C2211yescharacteristic
48C22×C4×Dic59C2211yescharacteristic
49C22×C4×Dic59C2211yescharacteristic
50C59⋊#401C2211yescharacteristic, complemented
51C59⋊#401C2211yescharacteristic, complemented
52#16837344C2211yescharacteristic, complemented
53#16837344C2211yescharacteristic, complemented
54#16837343C2211yescharacteristic, complemented
55#16837342C2211yescharacteristic, complemented
56#16837341C2211yescharacteristic, complemented
57#16837340C2211yescharacteristic, complemented
58#16837331C2211yescharacteristic
59#16837331C2211yescharacteristic
60#16837331C2211yescharacteristic
61#16837331C2211yescharacteristic
62#16837331C2211yescharacteristic, complemented
63#16837330C2211yescharacteristic, complemented
64#16837330C2211yescharacteristic, complemented
65#16837329C2211yescharacteristic
66#16837329C2211yescharacteristic
67#16837329C2211yescharacteristic, complemented
68#16837328C2211yescharacteristic
69#16837328C2211yescharacteristic
70#16837328C2211yescharacteristic, complemented
71#16837327C2211yescharacteristic, complemented
72#16837325C2211yescharacteristic, complemented
73#16837324C2211yescharacteristic, complemented
74#16837320C2211yescharacteristic
75#16837320C2211yescharacteristic
76#16837319C2211yescharacteristic
77#16837319C2211yescharacteristic
78#16837318C2211yescharacteristic
79#16837318C2211yescharacteristic
80#16837317C2211yescharacteristic
81#16837317C2211yescharacteristic
82#16837306C2211yescharacteristic, complemented
83#16837306C2211yescharacteristic, complemented
84#16837304C2211yescharacteristic
85#16837304C2211yescharacteristic
86#16837302C2211yescharacteristic
87#16837302C2211yescharacteristic
88#16837302C2211yescharacteristic, complemented
89#16837302C2211yescharacteristic, complemented
90#16837299C2211yescharacteristic, complemented
91#16837299C2211yescharacteristic, complemented
92#16837297C2211yescharacteristic, complemented
93#16837297C2211yescharacteristic, complemented
94#16837296C2211yescharacteristic, complemented
95#16837295C2211yescharacteristic, complemented
96#16837294C2211yescharacteristic
97#16837294C2211yescharacteristic
98#16837294C2211yescharacteristic, complemented
99#16837293C2211yescharacteristic
100#16837293C2211yescharacteristic
101#16837293C2211yescharacteristic
102#16837293C2211yescharacteristic
103#16837292C2211yescharacteristic
104#16837292C2211yescharacteristic
105#16837292C2211yescharacteristic, complemented
106#16837291C2211yescharacteristic, complemented
107#16837291C2211yescharacteristic, complemented
108#16837291C2211yescharacteristic, complemented
109#16837290C2211yescharacteristic, complemented
110#16837289C2211yescharacteristic, complemented
111#16837288C2211yescharacteristic, complemented
112#16837287C2211yescharacteristic, complemented
113#16837285C2211yescharacteristic, complemented
114#16837284C2211yescharacteristic, complemented
115#16837284C2211yescharacteristic, complemented
116#16837284C2211yescharacteristic, complemented
117#16837283C2211yescharacteristic, complemented
118#16837282C2211yescharacteristic
119#16837282C2211yescharacteristic
120#16837281C2211yescharacteristic
121#16837281C2211yescharacteristic
122#16837281C2211yescharacteristic
123#16837281C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837279C2211yescharacteristic
129#16837279C2211yescharacteristic
130#16837278C2211yescharacteristic
131#16837278C2211yescharacteristic
132#16837277C2211yescharacteristic
133#16837277C2211yescharacteristic
134#16837276C2211yescharacteristic
135#16837276C2211yescharacteristic
136#16837275C2211yescharacteristic
137#16837275C2211yescharacteristic
138#16837274C2211yescharacteristic
139#16837274C2211yescharacteristic
140#16837273C2211yescharacteristic
141#16837273C2211yescharacteristic
142#16837269C2211yescharacteristic, complemented
143#16837266C2211yescharacteristic, complemented
144#16837266C2211yescharacteristic, complemented
145#16837266C2211yescharacteristic, complemented
146#16837264C2211yescharacteristic, complemented
147#16837261C2211yescharacteristic
148#16837261C2211yescharacteristic
149#16837261C2211yescharacteristic
150#16837261C2211yescharacteristic
151#16837261C2211yescharacteristic, complemented
152#16837260C2211yescharacteristic
153#16837260C2211yescharacteristic
154#16837257C2211yescharacteristic
155#16837257C2211yescharacteristic
156C4×Dic59⋊C4C2211yescharacteristic, complemented
157C4×Dic59⋊C4C2211yescharacteristic, complemented
158C4×Dic59⋊C4C2211yescharacteristic, complemented
159C4×C4⋊Dic59C2211yescharacteristic, complemented
160C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
161C4×C22⋊Dic59C2211yescharacteristic
162C4×C22⋊Dic59C2211yescharacteristic, complemented
163#16837249C2211yescharacteristic
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic
170#16837249C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C2×C4×D4×C59C2211yescharacteristic
173C59×#388C2211yescharacteristic, complemented
174C59×#388C2211yescharacteristic, complemented
175C59×#387C2211yescharacteristic, complemented
176C59×#387C2211yescharacteristic, complemented
177C59×#386C2211yescharacteristic
178C59×#386C2211yescharacteristic
179C59×#385C2211yescharacteristic
180C59×#385C2211yescharacteristic
181C59×#383C2211yescharacteristic, complemented
182C59×#382C2211yescharacteristic, complemented
183C59×#381C2211yescharacteristic, complemented
184C59×#380C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C23×Dic59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C22×C4×D59—24no—
199C22×C4×D59—42no—
200C22×C4×D59—42no—
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206#14273717—42no—
207#14273713—42no—
208#14273705—42no—
209#14273705—42no—
210#14273704—24no—
211#14273700—42no—
212#14273700—42no—
213#14273699—24no—
214#14273697—24no—
215#14273695—24no—
216C4×Dic118—42no—
217C4×C22⋊D59—24no—
218C4×C22⋊D59—42no—
219C2×C4⋊Dic59C2311yescharacteristic
220C2×C4⋊Dic59C2311yescharacteristic
221C2×C4⋊Dic59C2311yescharacteristic
222C2×C4⋊Dic59C2311yescharacteristic
223C2×C4⋊Dic59C2311yescharacteristic
224C2×Dic59⋊C4C2311yescharacteristic
225C2×Dic59⋊C4C2311yescharacteristic
226C2×Dic59⋊C4C2311yescharacteristic
227C2×Dic59⋊C4C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
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
240C2×C22⋊Dic59C2311yescharacteristic
241C2×C22⋊Dic59C2311yescharacteristic
242C2×C22⋊Dic59C2311yescharacteristic
243C2×C22⋊Dic59C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×(C2×D59)⋊C4—24no—
249C2×(C2×D59)⋊C4—24no—
250C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59—42no—
281C2×C4×Dic59—42no—
282C2×C4×Dic59C2311yescharacteristic
283C2×C4×Dic59C2311yescharacteristic
284C2×C4×Dic59C2311yescharacteristic
285C2×C4×Dic59C2311yescharacteristic
286C2×C4×Dic59C2311yescharacteristic
287C2×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
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
327C22×D4×C59C2311yescharacteristic
328C23×C4×C59C2311yescharacteristic
329C23×C4×C59C2311yescharacteristic
330C23×C4×C59C2311yescharacteristic
331C23×C4×C59C2311yescharacteristic
332C4×D4×C59—24no—
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×C42×C59C2311yescharacteristic
347C2×C42×C59C2311yescharacteristic
348C2×C42×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×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—41no—
368C23×D59—41no—
369C23×D59—41no—
370C23×D59—41no—
371C23×D59#4114yes—
372C23×D59C2411yescharacteristic
373C23×D59C2411yescharacteristic
374C23×D59C2411yescharacteristic
375C2×D4×C59—22no—
376C2×D4×C59—22no—
377C2×D4×C59—22no—
378C22×C4×C59—22no—
379C22×C4×C59—22no—
380C22×C4×C59—22no—
381C22×C4×C59—41no—
382C22×C4×C59—41no—
383C22×C4×C59—41no—
384C22×C4×C59—41no—
385C22×C4×C59—41no—
386C22×C4×C59—41no—
387C22×C4×C59—41no—
388C22×C4×C59—41no—
389C22×C4×C59#4114yes—
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
402C22×C4×C59C2411yescharacteristic
403C2×C22⋊D59—22no—
404C2×C22⋊D59—22no—
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—41no—
412C2×C22⋊D59—41no—
413C2×C22⋊D59—41no—
414C2×C22⋊D59—41no—
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×Dic59#4114yes—
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C22×Dic59C2411yescharacteristic
432C22×Dic59C2411yescharacteristic
433C22×Dic59C2411yescharacteristic
434C22×Dic59C2411yescharacteristic
435C22×Dic59C2411yescharacteristic
436C22×Dic59C2411yescharacteristic
437C2×D236—22no—
438C2×D236—22no—
439C2×D236—41no—
440C2×D236—41no—
441C2×D236—41no—
442C2×D236—41no—
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—416no—
457C2×C4×D59—41no—
458C2×C4×D59—41no—
459C2×Dic118—22no—
460C2×Dic118—22no—
461C2×Dic118—22no—
462C4⋊C4×C59—22no—
463C4⋊C4×C59—41no—
464C4⋊C4×C59—41no—
465C4⋊C4×C59—41no—
466C4⋊C4×C59—41no—
467C22⋊C4×C59—22no—
468C22⋊C4×C59—22no—
469C22⋊C4×C59—22no—
470C22⋊C4×C59—22no—
471C22⋊C4×C59—41no—
472C22⋊C4×C59—41no—
473C22⋊C4×C59—41no—
474C22⋊C4×C59—41no—
475C42×C59—22no—
476C42×C59—41no—
477C42×C59—41no—
478C22⋊Dic59—22no—
479C22⋊Dic59—22no—
480C22⋊Dic59—22no—
481C22⋊Dic59—22no—
482C22⋊Dic59—41no—
483C22⋊Dic59—41no—
484C22⋊Dic59—41no—
485C22⋊Dic59—41no—
486(C2×D59)⋊C4—22no—
487(C2×D59)⋊C4—22no—
488(C2×D59)⋊C4—22no—
489(C2×D59)⋊C4—22no—
490(C2×D59)⋊C4—22no—
491(C2×D59)⋊C4—22no—
492(C2×D59)⋊C4—22no—
493(C2×D59)⋊C4—22no—
494(C2×D59)⋊C4—22no—
495(C2×D59)⋊C4—22no—
496(C2×D59)⋊C4—22no—
497(C2×D59)⋊C4—22no—
498(C2×D59)⋊C4—22no—
499(C2×D59)⋊C4—22no—
500(C2×D59)⋊C4—41no—
501(C2×D59)⋊C4—41no—
502(C2×D59)⋊C4—41no—
503(C2×D59)⋊C4—41no—
504(C2×D59)⋊C4—41no—
505(C2×D59)⋊C4—41no—
506(C2×D59)⋊C4—41no—
507(C2×D59)⋊C4—41no—
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—
516C4⋊Dic59—22no—
517C4⋊Dic59—41no—
518C4⋊Dic59—41no—
519C4⋊Dic59—41no—
520C4⋊Dic59—41no—
521Dic59⋊C4—22no—
522Dic59⋊C4—22no—
523Dic59⋊C4—22no—
524Dic59⋊C4—22no—
525Dic59⋊C4—22no—
526Dic59⋊C4—22no—
527Dic59⋊C4—22no—
528Dic59⋊C4—22no—
529Dic59⋊C4—41no—
530Dic59⋊C4—41no—
531Dic59⋊C4—41no—
532Dic59⋊C4—41no—
533Dic59⋊C4—41no—
534Dic59⋊C4—41no—
535Dic59⋊C4—41no—
536Dic59⋊C4—41no—
537C4×Dic59—22no—
538C4×Dic59—22no—
539C4×Dic59—22no—
540C4×Dic59—22no—
541C4×Dic59—22no—
542C4×Dic59—41no—
543C4×Dic59—41no—
544C4×Dic59—41no—
545C4×Dic59—41no—
546C4×Dic59—41no—
547C4×Dic59—41no—
548C23×C59—21no—
549C23×C59—21no—
550C23×C59—21no—
551C23×C59—21no—
552C23×C59—21no—
553C23×C59—21no—
554C23×C59—21no—
555C23×C59—21no—
556C23×C59—21no—
557C23×C59—21no—
558C23×C59—21no—
559C23×C59C2×#4112yes—
560C23×C59C2×#4112yes—
561C23×C59C2×#4112yes—
562C23×C59C2511yescharacteristic
563C22×D59—28no—
564C22×D59—21no—
565C22×D59—21no—
566C22×D59—21no—
567C22×D59—21no—
568C22×D59—21no—
569C22×D59—21no—
570C22×D59—21no—
571C22×D59—21no—
572C22×D59—21no—
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—44no—
584C22×D59—44no—
585C22×D59—44no—
586C22×D59—44no—
587C22×D59—44no—
588C22×D59—44no—
589C22×D59C2×#4112yes—
590C22×D59C2×#4112yes—
591D4×C59—44no—
592C2×C4×C59—21no—
593C2×C4×C59—21no—
594C2×C4×C59—21no—
595C2×C4×C59—21no—
596C2×C4×C59—21no—
597C2×C4×C59—21no—
598C2×C4×C59—21no—
599C2×C4×C59—21no—
600C2×C4×C59—21no—
601C2×C4×C59—21no—
602C2×C4×C59—21no—
603C2×C4×C59—21no—
604C2×C4×C59—21no—
605C2×C4×C59—21no—
606C2×C4×C59—21no—
607C2×C4×C59—21no—
608C2×C4×C59—21no—
609C2×C4×C59—21no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
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—44no—
630C2×C4×C59—44no—
631C2×C4×C59—44no—
632C2×C4×C59—82no—
633C2×C4×C59C2×#4112yes—
634C2×C4×C59C2×#4112yes—
635C22⋊D59—44no—
636C22⋊D59—44no—
637C22⋊D59—82no—
638C22⋊D59—82no—
639C2×Dic59—21no—
640C2×Dic59—21no—
641C2×Dic59—28no—
642C2×Dic59—21no—
643C2×Dic59—21no—
644C2×Dic59—21no—
645C2×Dic59—21no—
646C2×Dic59—21no—
647C2×Dic59—21no—
648C2×Dic59—21no—
649C2×Dic59—21no—
650C2×Dic59—21no—
651C2×Dic59—21no—
652C2×Dic59—21no—
653C2×Dic59—21no—
654C2×Dic59—21no—
655C2×Dic59—21no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—21no—
659C2×Dic59—21no—
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—44no—
676C2×Dic59—44no—
677C2×Dic59C2×#4112yes—
678C2×Dic59C2×#4112yes—
679C2×Dic59H(5,𝔽2)12yes—
680C2×Dic59H(5,𝔽2)12yes—
681D236—82no—
682D236—82no—
683C4×D59—44no—
684C4×D59—44no—
685C4×D59—44no—
686C4×D59—44no—
687C4×D59—82no—
688Dic118—44no—
689#35023—591nomaximal, Sylow
690C22×C59—22no—
691C22×C59—22no—
692C22×C59—22no—
693C22×C59—22no—
694C22×C59—22no—
695C22×C59—22no—
696C22×C59—41no—
697C22×C59—41no—
698C22×C59—41no—
699C22×C59—41no—
700C22×C59—41no—
701C22×C59—41no—
702C22×C59—41no—
703C22×C59#52914yes—
704C22×C59C22×#4111yescharacteristic
705C22×C59C22×#4111yescharacteristic
706C22×C59C22×#4111yescharacteristic
707C22×C59C2×H(5,𝔽2)11yescharacteristic
708C22×C59C2×H(5,𝔽2)11yescharacteristic
709C22×C59#58511yescharacteristic
710C22×C59#58511yescharacteristic
711C2×D59—22no—
712C2×D59—22no—
713C2×D59—22no—
714C2×D59—22no—
715C2×D59—22no—
716C2×D59—22no—
717C2×D59—416no—
718C2×D59—41no—
719C2×D59—41no—
720C2×D59—41no—
721C2×D59—41no—
722C2×D59—41no—
723C2×D59—41no—
724C2×D59—41no—
725C2×D59—41no—
726C2×D59—41no—
727C2×D59—41no—
728C2×D59—41no—
729C2×D59—41no—
730C2×D59—41no—
731C2×D59—41no—
732C2×D59—41no—
733C4×C59—22no—
734C4×C59—22no—
735C4×C59—41no—
736C4×C59—41no—
737C4×C59—41no—
738C4×C59—41no—
739C4×C59—41no—
740C4×C59—41no—
741C4×C59—41no—
742C4×C59—41no—
743C4×C59—41no—
744C4×C59—41no—
745C4×C59—41no—
746Dic59—22no—
747Dic59—41no—
748Dic59—41no—
749Dic59—41no—
750Dic59—41no—
751Dic59—41no—
752Dic59—41no—
753Dic59—41no—
754Dic59—41no—
755Dic59—41no—
756Dic59—41no—
757Dic59—41no—
758Dic59#53814yes—
759#2851—591no—
760#2850—591no—
761#2848—591no—
762#2847—591no—
763#2643—591no—
764#2643—591no—
765#2622—591no—
766#2622—591no—
767#2597—591no—
768#2597—591no—
769#2595—591no—
770#2595—591no—
771#2578—591no—
772#2578—591no—
773#2576—591no—
774#2576—591no—
775#2495—591no—
776#2494—591no—
777#2490—591no—
778#2489—591no—
779#2427—591no—
780#2426—591no—
781#2421—591no—
782#2420—591no—
783#2321—591no—
784#2321—591no—
785#2318—591no—
786#2318D5911yescharacteristic, complemented
787C4×C22⋊Q8—591no—
788C4×#121—591no—
789C2×C4×C22⋊C4—591no—
790C2×C59—24no—
791C2×C59—81no—
792C2×C59C2×#52911yescharacteristic
793C2×C59C2×#53811yescharacteristic
794C2×C59#345511yescharacteristic
795C2×C59#350511yescharacteristic
796C2×C59#350511yescharacteristic
797C2×C59#350511yescharacteristic
798C2×C59#350611yescharacteristic
799D59—42no—
800D59—42no—
801D59—81no—
802C24×C4—591no—
803C2×#125—591no—
804C2×#124—591no—
805C2×C22⋊Q8—591no—
806C2×C22⋊Q8—591no—
807C2×C22⋊Q8—591no—
808C2×#121—591no—
809C2×#121—591no—
810C2×#121—591no—
811C2×#120—591no—
812C2×#120—591no—
813C2×C4×Q8—591no—
814C2×C4×D4—591no—
815C2×C4×D4—591no—
816C2×C4×D4C2×D5911yescharacteristic
817C22×C22⋊C4—591no—
818C22×C22⋊C4—591no—
819C22×C42—591no—
820C22×C42—591no—
821#401—591no—
822#401—591no—
823#400—591no—
824#400—591no—
825#400—591no—
826#400—591no—
827#400—591no—
828#400—591no—
829#397—591no—
830#397—591no—
831#397—591no—
832#397—591no—
833#397—591no—
834#397—591no—
835#397—591no—
836#397—591no—
837#397—591no—
838#397—591no—
839#397—591no—
840#397—591no—
841#397—591no—
842#397—591no—
843#396—591no—
844#396—591no—
845#394—591no—
846#394—591no—
847#394—591no—
848#394—591no—
849#394—591no—
850#394—591no—
851#394—591no—
852#394—591no—
853#391—591no—
854#391—591no—
855#390—591no—
856#390—591no—
857#390—591no—
858#390—591no—
859#390—591no—
860#390—591no—
861#389—591no—
862#389—591no—
863#389—591no—
864#389—591no—
865#388—591no—
866#388—591no—
867#388—591no—
868#388—591no—
869#388—591no—
870#388—591no—
871#388—591no—
872#388—591no—
873#388—591no—
874#388—591no—
875#388—591no—
876#388—591no—
877#388—591no—
878#388—591no—
879#388—591no—
880#388—591no—
881#388C2×D5911yescharacteristic, complemented
882#388C2×D5911yescharacteristic, complemented
883#387—591no—
884#387—591no—
885#387—591no—
886#387—591no—
887#387—591no—
888#387—591no—
889#387—591no—
890#387—591no—
891#387C2×D5911yescharacteristic, complemented
892#387C2×D5911yescharacteristic, complemented
893#386—591no—
894#386—591no—
895#386—591no—
896#386—591no—
897#386—591no—
898#386—591no—
899#386—591no—
900#386—591no—
901#386—591no—
902#386—591no—
903#386—591no—
904#386—591no—
905#386—591no—
906#386—591no—
907#386C2×D5911yescharacteristic
908#386C2×D5911yescharacteristic
909#385—591no—
910#385—591no—
911#385—591no—
912#385—591no—
913#385—591no—
914#385—591no—
915#385—591no—
916#385—591no—
917#385—591no—
918#385—591no—
919#385C2×D5911yescharacteristic
920#385C2×D5911yescharacteristic
921#383—591no—
922#383C2×D5911yescharacteristic, complemented
923#382—591no—
924#382—591no—
925#382—591no—
926#382C2×D5911yescharacteristic, complemented
927#381—591no—
928#381C2×D5911yescharacteristic, complemented
929#380—591no—
930#380—591no—
931#380—591no—
932#380—591no—
933#380—591no—
934#380—591no—
935#380—591no—
936#380C2×D5911yescharacteristic, complemented
937#379—591no—
938#379—591no—
939C4×C4⋊C4—591no—
940C4×C4⋊C4—591no—
941C4×C4⋊C4—591no—
942C4×C4⋊C4—591no—
943C4×C22⋊C4—591no—
944C4×C22⋊C4—591no—
945C4×C22⋊C4—591no—
946C4×C22⋊C4—591no—
947C4×C22⋊C4—591no—
948C4×C22⋊C4—591no—
949C4×C22⋊C4—591no—
950C4×C22⋊C4—591no—
951C4×C22⋊C4—591no—
952C4×C22⋊C4—591no—
953C4×C22⋊C4—591no—
954C4×C22⋊C4C2×D5911yescharacteristic
955C2×#95—591no—
956C2×#95C2×D5911yescharacteristic
957C59#3502311yescharacteristic, complemented, Sylow
958C25—591no—
959C22×Q8—591no—
960C22×D4—591no—
961C22×D4—591no—
962C22×D4—591no—
963C22×D4—591no—
964C22×D4—591no—
965C22×D4—591no—
966C22×D4C22×D5911yescharacteristic
967C23×C4—591no—
968C23×C4—591no—
969C23×C4—591no—
970C23×C4—591no—
971C23×C4—591no—
972C23×C4—591no—
973C23×C4—591no—
974C23×C4—591no—
975C23×C4—1184no—
976C23×C4—2362no—
977C23×C4—2362no—
978C23×C4C22×D5911yescharacteristic
979C23×C4C22×D5911yescharacteristic
980C23×C4C22×D5911yescharacteristic
981C23×C4C22×D5911yescharacteristic
982#125—2362no—
983#124—2362no—
984C22⋊Q8—1184no—
985C22⋊Q8—2362no—
986C22⋊Q8—2362no—
987#121—1184no—
988#121—2362no—
989#121—2362no—
990#120—1184no—
991#120—1184no—
992C4×Q8—2362no—
993C4×D4—24no—
994C4×D4—1184no—
995C4×D4—2362no—
996C2×C4⋊C4—591no—
997C2×C4⋊C4—591no—
998C2×C4⋊C4—591no—
999C2×C4⋊C4—591no—
1000C2×C4⋊C4—591no—
1001C2×C4⋊C4—591no—
1002C2×C4⋊C4—591no—
1003C2×C4⋊C4—591no—
1004C2×C4⋊C4—591no—
1005C2×C4⋊C4—591no—
1006C2×C4⋊C4—591no—
1007C2×C4⋊C4—591no—
1008C2×C4⋊C4—591no—
1009C2×C4⋊C4—591no—
1010C2×C4⋊C4—591no—
1011C2×C4⋊C4—591no—
1012C2×C4⋊C4—591no—
1013C2×C4⋊C4—591no—
1014C2×C4⋊C4—591no—
1015C2×C4⋊C4—591no—
1016C2×C4⋊C4—591no—
1017C2×C4⋊C4C22×D5911yescharacteristic
1018C2×C4⋊C4C22×D5911yescharacteristic
1019C2×C4⋊C4C22×D5911yescharacteristic
1020C2×C4⋊C4C22×D5911yescharacteristic
1021C2×C4⋊C4C22×D5911yescharacteristic
1022C2×C22⋊C4—591no—
1023C2×C22⋊C4—591no—
1024C2×C22⋊C4—591no—
1025C2×C22⋊C4—591no—
1026C2×C22⋊C4—591no—
1027C2×C22⋊C4—591no—
1028C2×C22⋊C4—591no—
1029C2×C22⋊C4—591no—
1030C2×C22⋊C4—591no—
1031C2×C22⋊C4—591no—
1032C2×C22⋊C4—591no—
1033C2×C22⋊C4—591no—
1034C2×C22⋊C4—591no—
1035C2×C22⋊C4—591no—
1036C2×C22⋊C4—591no—
1037C2×C22⋊C4—591no—
1038C2×C22⋊C4—591no—
1039C2×C22⋊C4—591no—
1040C2×C22⋊C4—591no—
1041C2×C22⋊C4—591no—
1042C2×C22⋊C4—591no—
1043C2×C22⋊C4—591no—
1044C2×C22⋊C4—591no—
1045C2×C22⋊C4—591no—
1046C2×C22⋊C4—591no—
1047C2×C22⋊C4—591no—
1048C2×C22⋊C4—591no—
1049C2×C22⋊C4—591no—
1050C2×C22⋊C4—591no—
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—1184no—
1061C2×C22⋊C4—1184no—
1062C2×C22⋊C4C22×D5911yescharacteristic
1063C2×C22⋊C4C22×D5911yescharacteristic
1064C2×C22⋊C4C22×D5911yescharacteristic
1065C2×C22⋊C4C22×D5911yescharacteristic
1066C2×C22⋊C4C22×D5911yescharacteristic
1067C2×C22⋊C4C22×D5911yescharacteristic
1068C2×C22⋊C4C22×D5911yescharacteristic
1069C2×C22⋊C4C22×D5911yescharacteristic
1070C2×C42—591no—
1071C2×C42—591no—
1072C2×C42—591no—
1073C2×C42—591no—
1074C2×C42—591no—
1075C2×C42—591no—
1076C2×C42—591no—
1077C2×C42—591no—
1078C2×C42—591no—
1079C2×C42—591no—
1080C2×C42—591no—
1081C2×C42—2362no—
1082C2×C42—2362no—
1083C2×C42C22×D5911yescharacteristic
1084C2×C42C22×D5911yescharacteristic
1085C2×C42C22×D5911yescharacteristic
1086#95—591no—
1087#95—591no—
1088#95—591no—
1089#95—591no—
1090#95—591no—
1091#95—591no—
1092#95—591no—
1093#95—591no—
1094#95—591no—
1095#95—591no—
1096#95—591no—
1097#95—591no—
1098#95—591no—
1099#95—591no—
1100#95—591no—
1101#95—591no—
1102#95—591no—
1103#95—591no—
1104#95—591no—
1105#95—591no—
1106#95—591no—
1107#95—591no—
1108#95—591no—
1109#95—591no—
1110#95—591no—
1111#95—591no—
1112#95—591no—
1113#95—591no—
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95C22×D5911yescharacteristic
1121#95C22×D5911yescharacteristic
1122#95C22×D5911yescharacteristic
1123#95C22×D5911yescharacteristic
1124#95C22×D5911yescharacteristic
1125#95C22×D5911yescharacteristic
1126#95C22×D5911yescharacteristic
1127#95C22×D5911yescharacteristic
1128#95C22×D5911yescharacteristic
1129#95C22×D5911yescharacteristic
1130#95C22×D5911yescharacteristic
1131#95C22×D5911yescharacteristic
1132#95C22×D5911yescharacteristic
1133#95C22×D5911yescharacteristic
1134C24—591no—
1135C24—591no—
1136C24—594no—
1137C24—591no—
1138C24—1182no—
1139C24—1182no—
1140C24—2361no—
1141C24—2361no—
1142C24—2361no—
1143C24—2361no—
1144C24C23×D5911yescharacteristic
1145C24C23×D5911yescharacteristic
1146C2×Q8—1182no—
1147C2×Q8—1182no—
1148C2×Q8—1182no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—1182no—
1153C2×D4—1182no—
1154C2×D4—1182no—
1155C2×D4—1182no—
1156C2×D4—1182no—
1157C2×D4—1182no—
1158C2×D4—1182no—
1159C2×D4—1182no—
1160C2×D4—1182no—
1161C2×D4—1182no—
1162C2×D4—2361no—
1163C2×D4—2361no—
1164C2×D4—2361no—
1165C2×D4—2361no—
1166C2×D4—2361no—
1167C2×D4—2361no—
1168C2×D4—2361no—
1169C2×D4—2361no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—591no—
1182C22×C4—594no—
1183C22×C4—591no—
1184C22×C4—591no—
1185C22×C4—591no—
1186C22×C4—591no—
1187C22×C4—591no—
1188C22×C4—591no—
1189C22×C4—591no—
1190C22×C4—591no—
1191C22×C4—591no—
1192C22×C4—591no—
1193C22×C4—591no—
1194C22×C4—591no—
1195C22×C4—1182no—
1196C22×C4—1182no—
1197C22×C4—1182no—
1198C22×C4—1182no—
1199C22×C4—1182no—
1200C22×C4—1182no—
1201C22×C4—1182no—
1202C22×C4—1182no—
1203C22×C4—1182no—
1204C22×C4—1182no—
1205C22×C4—1182no—
1206C22×C4—1182no—
1207C22×C4—1182no—
1208C22×C4—2361no—
1209C22×C4—2361no—
1210C22×C4—2361no—
1211C22×C4—2361no—
1212C22×C4—2361no—
1213C22×C4—2361no—
1214C22×C4—23616no—
1215C22×C4—2361no—
1216C22×C4—2361no—
1217C22×C4—2361no—
1218C22×C4—2361no—
1219C22×C4#1174568514yes—
1220C22×C4C23×D5911yescharacteristic
1221C22×C4C23×D5911yescharacteristic
1222C22×C4C23×D5911yescharacteristic
1223C22×C4C23×D5911yescharacteristic
1224C22×C4C23×D5911yescharacteristic
1225C22×C4C23×D5911yescharacteristic
1226C22×C4C23×D5911yescharacteristic
1227C22×C4C23×D5911yescharacteristic
1228C22×C4C23×D5911yescharacteristic
1229C22×C4C23×D5911yescharacteristic
1230C22×C4C23×D5911yescharacteristic
1231C22×C4C23×D5911yescharacteristic
1232C22×C4C23×D5911yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—1182no—
1239C4⋊C4—1182no—
1240C4⋊C4—1182no—
1241C4⋊C4—1182no—
1242C4⋊C4—1182no—
1243C4⋊C4—1182no—
1244C4⋊C4—1182no—
1245C4⋊C4—1182no—
1246C4⋊C4—1182no—
1247C4⋊C4—2361no—
1248C4⋊C4—2361no—
1249C4⋊C4—2361no—
1250C4⋊C4—2361no—
1251C4⋊C4—2361no—
1252C4⋊C4—2361no—
1253C4⋊C4—2361no—
1254C4⋊C4—2361no—
1255C4⋊C4—2361no—
1256C4⋊C4—2361no—
1257C4⋊C4—2361no—
1258C4⋊C4—2361no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—1182no—
1268C22⋊C4—1182no—
1269C22⋊C4—1182no—
1270C22⋊C4—1182no—
1271C22⋊C4—1182no—
1272C22⋊C4—1182no—
1273C22⋊C4—1182no—
1274C22⋊C4—1182no—
1275C22⋊C4—1182no—
1276C22⋊C4—1182no—
1277C22⋊C4—1182no—
1278C22⋊C4—1182no—
1279C22⋊C4—1182no—
1280C22⋊C4—1182no—
1281C22⋊C4—1182no—
1282C22⋊C4—1182no—
1283C22⋊C4—1182no—
1284C22⋊C4—1182no—
1285C22⋊C4—2361no—
1286C22⋊C4—2361no—
1287C22⋊C4—2361no—
1288C22⋊C4—2361no—
1289C22⋊C4—2361no—
1290C22⋊C4—2361no—
1291C22⋊C4—2361no—
1292C22⋊C4—2361no—
1293C22⋊C4—2361no—
1294C22⋊C4—2361no—
1295C22⋊C4—2361no—
1296C22⋊C4—2361no—
1297C22⋊C4—2361no—
1298C22⋊C4—2361no—
1299C22⋊C4—2361no—
1300C22⋊C4—2361no—
1301C22⋊C4—2361no—
1302C22⋊C4—2361no—
1303C22⋊C4—2361no—
1304C22⋊C4—2361no—
1305C42—22no—
1306C42—41no—
1307C42—41no—
1308C42—1182no—
1309C42—1182no—
1310C42—1182no—
1311C42—1182no—
1312C42—1182no—
1313C42—2361no—
1314C42—2361no—
1315C42—2361no—
1316C42—2361no—
1317C42—2361no—
1318C42—2361no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—592no—
1331C23—592no—
1332C23—1188no—
1333C23—1181no—
1334C23—1181no—
1335C23—1181no—
1336C23—1181no—
1337C23—1181no—
1338C23—1181no—
1339C23—1181no—
1340C23—1181no—
1341C23—1181no—
1342C23—1181no—
1343C23—1181no—
1344C23—1181no—
1345C23—1181no—
1346C23—1181no—
1347C23—1181no—
1348C23—1181no—
1349C23—1181no—
1350C23—1181no—
1351C23—1181no—
1352C23—2364no—
1353C23—2364no—
1354C23—2364no—
1355C23—2364no—
1356C23—2364no—
1357C23—2364no—
1358C23#41×D5912yes—
1359C23#41×D5912yes—
1360C23C2×#1174568512yes—
1361C23C24×D5911yescharacteristic
1362Q8—2364no—
1363D4—44no—
1364D4—4722no—
1365D4—4722no—
1366D4—4722no—
1367D4—4722no—
1368D4—2364no—
1369D4—2364no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—82no—
1411C2×C4—592no—
1412C2×C4—592no—
1413C2×C4—592no—
1414C2×C4—592no—
1415C2×C4—1188no—
1416C2×C4—1181no—
1417C2×C4—1181no—
1418C2×C4—1181no—
1419C2×C4—1181no—
1420C2×C4—1181no—
1421C2×C4—1181no—
1422C2×C4—1181no—
1423C2×C4—1181no—
1424C2×C4—1181no—
1425C2×C4—1181no—
1426C2×C4—1181no—
1427C2×C4—1181no—
1428C2×C4—1181no—
1429C2×C4—1181no—
1430C2×C4—1181no—
1431C2×C4—1181no—
1432C2×C4—1181no—
1433C2×C4—1181no—
1434C2×C4—1181no—
1435C2×C4—1181no—
1436C2×C4—1181no—
1437C2×C4—1181no—
1438C2×C4—1181no—
1439C2×C4—1181no—
1440C2×C4—1181no—
1441C2×C4—1181no—
1442C2×C4—1181no—
1443C2×C4—1181no—
1444C2×C4—1181no—
1445C2×C4—1181no—
1446C2×C4—1181no—
1447C2×C4—1181no—
1448C2×C4—1181no—
1449C2×C4—1181no—
1450C2×C4—1181no—
1451C2×C4—4722no—
1452C2×C4—2364no—
1453C2×C4—2364no—
1454C2×C4—2364no—
1455C2×C4—2364no—
1456C2×C4—2364no—
1457C2×C4—2364no—
1458C2×C4C2×#1174568512yes—
1459C2×C4C2×#1174568512yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—1182no—
1474C22—1182no—
1475C22—1182no—
1476C22—1182no—
1477C22—1182no—
1478C22—1182no—
1479C22—23616no—
1480C22—2361no—
1481C22—2361no—
1482C22—2361no—
1483C22—2361no—
1484C22—2361no—
1485C22—2361no—
1486C22—2361no—
1487C22—2361no—
1488C22—2361no—
1489C22—2361no—
1490C22—2361no—
1491C22—2361no—
1492C22—2361no—
1493C22—2361no—
1494C22—2361no—
1495C22#1683793014yes—
1496C22C2×#41×D5911yescharacteristic
1497C22C2×#41×D5911yescharacteristic
1498C22C22×#1174568511yescharacteristic
1499C22H(5,𝔽2)×D5911yescharacteristic
1500C22H(5,𝔽2)×D5911yescharacteristic
1501C22#1683823711yescharacteristic
1502C22#1683823911yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—594no—
1517C4—1182no—
1518C4—2361no—
1519C4—2361no—
1520C4—2361no—
1521C4—2361no—
1522C4—2361no—
1523C4—2361no—
1524C4—2361no—
1525C4—2361no—
1526C4—2361no—
1527C4—2361no—
1528C4—2361no—
1529C2—24no—
1530C2—81no—
1531C2—4721no—
1532C2—2362no—
1533C2—2362no—
1534C2C2×#1683793011yescharacteristic
1535C2#538×D5911yescharacteristic
1536C2#2143748211yescharacteristic
1537C2#2143792611yescharacteristic
1538C2#2143792811yescharacteristic
1539C2#2143793411yescharacteristic
1540C2#2143794111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2318C2
prime radical#21432377C2
hypercenter#2318D59
hypocenterC59#35023
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
1. #21432402C2semidirect
2. #21432393C2semidirect
3. #21432382C2semidirect
5. #21430052C2semidirect
6. #21430051C2semidirect
7. #21429874C2semidirect
8. #21429873C2semidirect
9. #21429645C2semidirect
10. #21429643C2semidirect
11. #21429615C2semidirect
12. #21429613C2semidirect
13. #21429428C2semidirect
14. #21429426C2semidirect
15. #21429398C2semidirect
16. #21429396C2semidirect
17. #21428506C2semidirect
18. #21428495C2semidirect
19. #21428447C2semidirect
20. #21428436C2semidirect
21. #21427672C2semidirect
22. #21427661C2semidirect
23. #21427598C2semidirect
24. #21427587C2semidirect
25. #21426756C2semidirect
26. #21426750C2semidirect
27. #21426730C2semidirect
28. C4×#14273704C2semidirect
29. C4×#14273699C2semidirect
30. C2×#16837249C2semidirect
31. C59×#2318C2semidirect
33. C2×#14273717C22semidirect
34. C2×#14273713C22semidirect
43. C2×C4×Dic118C22semidirect
45. C2×C4×C22⋊D59C22semidirect
50. C59⋊#401C22semidirect
51. C59⋊#401C22semidirect
52. #16837344C22semidirect
53. #16837344C22semidirect
54. #16837343C22semidirect
55. #16837342C22semidirect
56. #16837341C22semidirect
57. #16837340C22semidirect
62. #16837331C22semidirect
63. #16837330C22semidirect
64. #16837330C22semidirect
67. #16837329C22semidirect
70. #16837328C22semidirect
71. #16837327C22semidirect
72. #16837325C22semidirect
73. #16837324C22semidirect
82. #16837306C22semidirect
83. #16837306C22semidirect
88. #16837302C22semidirect
89. #16837302C22semidirect
90. #16837299C22semidirect
91. #16837299C22semidirect
92. #16837297C22semidirect
93. #16837297C22semidirect
94. #16837296C22semidirect
95. #16837295C22semidirect
98. #16837294C22semidirect
105. #16837292C22semidirect
106. #16837291C22semidirect
107. #16837291C22semidirect
108. #16837291C22semidirect
109. #16837290C22semidirect
110. #16837289C22semidirect
111. #16837288C22semidirect
112. #16837287C22semidirect
113. #16837285C22semidirect
114. #16837284C22semidirect
115. #16837284C22semidirect
116. #16837284C22semidirect
117. #16837283C22semidirect
142. #16837269C22semidirect
143. #16837266C22semidirect
144. #16837266C22semidirect
145. #16837266C22semidirect
146. #16837264C22semidirect
151. #16837261C22semidirect
156. C4×Dic59⋊C4C22semidirect
157. C4×Dic59⋊C4C22semidirect
158. C4×Dic59⋊C4C22semidirect
159. C4×C4⋊Dic59C22semidirect
160. C4×(C2×D59)⋊C4C22semidirect
162. C4×C22⋊Dic59C22semidirect
173. C59×#388C22semidirect
174. C59×#388C22semidirect
175. C59×#387C22semidirect
176. C59×#387C22semidirect
181. C59×#383C22semidirect
182. C59×#382C22semidirect
183. C59×#381C22semidirect
184. C59×#380C22semidirect
786. #2318D59semidirect
881. #388C2×D59semidirect
882. #388C2×D59semidirect
891. #387C2×D59semidirect
892. #387C2×D59semidirect
922. #383C2×D59semidirect
926. #382C2×D59semidirect
928. #381C2×D59semidirect
936. #380C2×D59semidirect
957. C59#35023semidirect

Maximal subgroups

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

subgroupindex
#214324022
#214323932
#214323822
#214323772
#214300522
#214300512
#214298742
#214298732
#214296452
#214296432
#214296152
#214296132
#214294282
#214294262
#214293982
#214293962
#214285062
#214284952
#214284472
#214284362
#214276722
#214276612
#214275982
#214275872
#214267562
#214267502
#214267302
C4×#142737042
C4×#142736992
C2×#168372492
C59×#23182
#3502359