Finite Group Databasebeta

← #28795993

Subgroups — #28795993

Order 15104.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432388C211yesmaximal, characteristic, complemented
2#21432378C211yesmaximal, characteristic, complemented
3#21431291C211yesmaximal, characteristic, complemented
4#21431192C211yesmaximal, characteristic, complemented
5#21431181C211yesmaximal, characteristic, complemented
6#21431151C211yesmaximal, characteristic, complemented
7#21431147C211yesmaximal, characteristic, complemented
8#21430932C211yesmaximal, characteristic, complemented
9#21430739C211yesmaximal, characteristic, complemented
10#21430659C211yesmaximal, characteristic, complemented
11#21430646C211yesmaximal, characteristic, complemented
12#21430605C211yesmaximal, characteristic, complemented
13#21430532C211yesmaximal, characteristic, complemented
14#21430502C211yesmaximal, characteristic, complemented
15#21430476C211yesmaximal, characteristic, complemented
16#21430425C211yesmaximal, characteristic, complemented
17#21430348C211yesmaximal, characteristic, complemented
18#21430322C211yesmaximal, characteristic, complemented
19#21430266C211yesmaximal, characteristic, complemented
20#21430222C211yesmaximal, characteristic, complemented
21#21429641C211yesmaximal, characteristic, complemented
22#21429424C211yesmaximal, characteristic, complemented
23#21429189C211yesmaximal, characteristic, complemented
24#21429189C211yesmaximal, characteristic, complemented
25#21428291C211yesmaximal, characteristic, complemented
26#21428276C211yesmaximal, characteristic, complemented
27#21428246C211yesmaximal, characteristic, complemented
28#21428201C211yesmaximal, characteristic, complemented
29#21426886C211yesmaximal, characteristic, complemented
30#21426861C211yesmaximal, characteristic, complemented
31C59×#2280C211yesmaximal, characteristic, complemented
32C2×#14273713C2211yescharacteristic
33C2×#14273713C2211yescharacteristic
34C2×#14273713C2211yescharacteristic
35C2×#14273712C2211yescharacteristic, complemented
36C2×#14273710C2211yescharacteristic
37C2×#14273710C2211yescharacteristic
38C2×#14273709C2211yescharacteristic
39C2×#14273709C2211yescharacteristic
40C2×#14273705C2211yescharacteristic, complemented
41C2×#14273701C2211yescharacteristic
42C2×#14273701C2211yescharacteristic
43C2×#14273701C2211yescharacteristic
44C2×#14273700C2211yescharacteristic
45C2×#14273696C2211yescharacteristic
46C2×#14273696C2211yescharacteristic
47C2×#14273696C2211yescharacteristic
48#16837344C2211yescharacteristic, complemented
49#16837344C2211yescharacteristic, complemented
50#16837343C2211yescharacteristic, complemented
51#16837343C2211yescharacteristic, complemented
52#16837340C2211yescharacteristic, complemented
53#16837337C2211yescharacteristic, complemented
54#16837335C2211yescharacteristic, complemented
55#16837334C2211yescharacteristic, complemented
56#16837331C2211yescharacteristic, complemented
57#16837331C2211yescharacteristic, complemented
58#16837330C2211yescharacteristic
59#16837330C2211yescharacteristic
60#16837330C2211yescharacteristic
61#16837329C2211yescharacteristic, complemented
62#16837329C2211yescharacteristic, complemented
63#16837329C2211yescharacteristic, complemented
64#16837328C2211yescharacteristic, complemented
65#16837328C2211yescharacteristic, complemented
66#16837327C2211yescharacteristic
67#16837327C2211yescharacteristic
68#16837325C2211yescharacteristic
69#16837325C2211yescharacteristic
70#16837325C2211yescharacteristic
71#16837324C2211yescharacteristic, complemented
72#16837323C2211yescharacteristic, complemented
73#16837323C2211yescharacteristic, complemented
74#16837322C2211yescharacteristic, complemented
75#16837320C2211yescharacteristic, complemented
76#16837319C2211yescharacteristic, complemented
77#16837318C2211yescharacteristic
78#16837318C2211yescharacteristic
79#16837318C2211yescharacteristic
80#16837317C2211yescharacteristic
81#16837317C2211yescharacteristic
82#16837317C2211yescharacteristic
83#16837317C2211yescharacteristic
84#16837317C2211yescharacteristic
85#16837315C2211yescharacteristic, complemented
86#16837315C2211yescharacteristic, complemented
87#16837314C2211yescharacteristic
88#16837314C2211yescharacteristic
89#16837314C2211yescharacteristic
90#16837312C2211yescharacteristic, complemented
91#16837311C2211yescharacteristic
92#16837311C2211yescharacteristic
93#16837311C2211yescharacteristic
94#16837311C2211yescharacteristic
95#16837311C2211yescharacteristic
96#16837308C2211yescharacteristic, complemented
97#16837308C2211yescharacteristic, complemented
98#16837304C2211yescharacteristic, complemented
99#16837304C2211yescharacteristic, complemented
100#16837302C2211yescharacteristic
101#16837302C2211yescharacteristic
102#16837302C2211yescharacteristic
103#16837302C2211yescharacteristic
104#16837302C2211yescharacteristic
105#16837299C2211yescharacteristic, complemented
106#16837296C2211yescharacteristic
107#16837296C2211yescharacteristic
108#16837296C2211yescharacteristic
109#16837295C2211yescharacteristic
110#16837295C2211yescharacteristic
111#16837294C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic, complemented
113#16837293C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837293C2211yescharacteristic, complemented
117#16837292C2211yescharacteristic, complemented
118#16837292C2211yescharacteristic, complemented
119#16837291C2211yescharacteristic, complemented
120#16837290C2211yescharacteristic
121#16837290C2211yescharacteristic
122#16837289C2211yescharacteristic, complemented
123#16837288C2211yescharacteristic, complemented
124#16837288C2211yescharacteristic, complemented
125#16837287C2211yescharacteristic, complemented
126#16837287C2211yescharacteristic, complemented
127#16837286C2211yescharacteristic, complemented
128#16837286C2211yescharacteristic, complemented
129#16837286C2211yescharacteristic, complemented
130#16837285C2211yescharacteristic, complemented
131#16837285C2211yescharacteristic, complemented
132#16837284C2211yescharacteristic, complemented
133#16837283C2211yescharacteristic, complemented
134#16837281C2211yescharacteristic
135#16837281C2211yescharacteristic
136#16837281C2211yescharacteristic
137#16837281C2211yescharacteristic
138#16837281C2211yescharacteristic
139#16837281C2211yescharacteristic
140#16837281C2211yescharacteristic
141#16837281C2211yescharacteristic
142#16837281C2211yescharacteristic
143#16837281C2211yescharacteristic
144#16837280C2211yescharacteristic, complemented
145#16837280C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic, complemented
147#16837280C2211yescharacteristic, complemented
148#16837278C2211yescharacteristic
149#16837278C2211yescharacteristic
150#16837278C2211yescharacteristic
151#16837278C2211yescharacteristic
152#16837278C2211yescharacteristic
153#16837278C2211yescharacteristic
154#16837276C2211yescharacteristic, complemented
155#16837275C2211yescharacteristic
156#16837275C2211yescharacteristic
157#16837275C2211yescharacteristic
158#16837275C2211yescharacteristic
159#16837273C2211yescharacteristic, complemented
160#16837269C2211yescharacteristic, complemented
161#16837265C2211yescharacteristic
162#16837265C2211yescharacteristic
163#16837262C2211yescharacteristic
164#16837262C2211yescharacteristic
165#16837262C2211yescharacteristic
166#16837261C2211yescharacteristic, complemented
167#16837258C2211yescharacteristic
168C4×Dic59⋊C4C2211yescharacteristic, complemented
169C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
170C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
171C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
172C24×C4×C59C2211yescharacteristic
173C2×#117×C59C2211yescharacteristic
174C2×#117×C59C2211yescharacteristic
175C59×#381C2211yescharacteristic
176C59×#381C2211yescharacteristic
177C59×#380C2211yescharacteristic
178C59×#380C2211yescharacteristic
179C59×#380C2211yescharacteristic
180C59×#380C2211yescharacteristic
181C59×#379C2211yescharacteristic
182C59×#379C2211yescharacteristic
183C4×C22⋊C4×C59C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C22×Dic118C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204#14273713—42no—
205#14273713—42no—
206#14273713—42no—
207#14273712—42no—
208#14273710—24no—
209#14273710—42no—
210#14273709—42no—
211#14273709—42no—
212#14273705—42no—
213#14273701—24no—
214#14273701—42no—
215#14273701—42no—
216#14273700—42no—
217#14273696—42no—
218#14273696—42no—
219#14273696—42no—
220C2×C4⋊Dic59C2311yescharacteristic
221C2×C4⋊Dic59C2311yescharacteristic
222C2×C4⋊Dic59C2311yescharacteristic
223C2×C4⋊Dic59C2311yescharacteristic
224C2×C4⋊Dic59C2311yescharacteristic
225C2×C4⋊Dic59C2311yescharacteristic
226C2×C4⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
283C2×C4×Dic59C2311yescharacteristic
284C2×C4×Dic59C2311yescharacteristic
285C2×C4×Dic59C2311yescharacteristic
286C2×C4×Dic59C2311yescharacteristic
287C59⋊#95C2311yescharacteristic
288C59⋊#95C2311yescharacteristic
289C59⋊#95C2311yescharacteristic
290C59⋊#95C2311yescharacteristic
291C59⋊#95C2311yescharacteristic
292C59⋊#95C2311yescharacteristic
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
323C25×C59C2311yescharacteristic
324C23×C4×C59—24no—
325C23×C4×C59—42no—
326C23×C4×C59—42no—
327C23×C4×C59C2311yescharacteristic
328C23×C4×C59C2311yescharacteristic
329C23×C4×C59C2311yescharacteristic
330C23×C4×C59C2311yescharacteristic
331C23×C4×C59C2311yescharacteristic
332C23×C4×C59C2311yescharacteristic
333#117×C59—42no—
334#117×C59—42no—
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C42×C59C2311yescharacteristic
352C2×C42×C59C2311yescharacteristic
353C2×C42×C59C2311yescharacteristic
354C2×C42×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×C59—22no—
364C24×C59—22no—
365C24×C59—22no—
366C24×C59—41no—
367C24×C59—41no—
368C24×C59—41no—
369C24×C59—41no—
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C24×C59C2411yescharacteristic
373C23×D59C2411yescharacteristic
374C23×D59C2411yescharacteristic
375C23×D59C2411yescharacteristic
376C22×C4×C59—22no—
377C22×C4×C59—22no—
378C22×C4×C59—22no—
379C22×C4×C59—22no—
380C22×C4×C59—22no—
381C22×C4×C59—22no—
382C22×C4×C59—22no—
383C22×C4×C59—22no—
384C22×C4×C59—22no—
385C22×C4×C59—22no—
386C22×C4×C59—41no—
387C22×C4×C59—41no—
388C22×C4×C59—41no—
389C22×C4×C59—41no—
390C22×C4×C59—41no—
391C22×C4×C59—41no—
392C22×C4×C59—41no—
393C22×C4×C59—416no—
394C22×C4×C59#4114yes—
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C2×C22⋊D59—22no—
408C2×C22⋊D59—22no—
409C2×C22⋊D59—22no—
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—22no—
415C2×C22⋊D59—22no—
416C2×C22⋊D59—41no—
417C2×C22⋊D59—41no—
418C2×C22⋊D59—41no—
419C2×C22⋊D59—41no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59—41no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C2×C22⋊D59—41no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C22×Dic59C2411yescharacteristic
435C22×Dic59C2411yescharacteristic
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C2×D236—22no—
448C2×D236—41no—
449C2×D236—41no—
450C2×D236—41no—
451C2×D236—41no—
452C2×D236—41no—
453C2×D236—41no—
454C2×D236—41no—
455C2×D236—41no—
456C2×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×Dic118—41no—
466C2×Dic118—41no—
467C2×Dic118—41no—
468C2×Dic118—41no—
469C2×Dic118—41no—
470C2×Dic118—41no—
471C4⋊C4×C59—22no—
472C4⋊C4×C59—22no—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C22⋊C4×C59—22no—
476C22⋊C4×C59—22no—
477C22⋊C4×C59—22no—
478C22⋊C4×C59—22no—
479C22⋊C4×C59—41no—
480C22⋊C4×C59—41no—
481C22⋊C4×C59—41no—
482C22⋊C4×C59—41no—
483C22⋊C4×C59—41no—
484C22⋊C4×C59—41no—
485C22⋊C4×C59—41no—
486C22⋊C4×C59—41no—
487C42×C59—41no—
488C42×C59—41no—
489C42×C59—41no—
490C42×C59—41no—
491C22⋊Dic59—22no—
492C22⋊Dic59—22no—
493C22⋊Dic59—22no—
494C22⋊Dic59—22no—
495C22⋊Dic59—22no—
496C22⋊Dic59—41no—
497C22⋊Dic59—41no—
498C22⋊Dic59—41no—
499C22⋊Dic59—41no—
500C22⋊Dic59—41no—
501C22⋊Dic59—41no—
502C22⋊Dic59—41no—
503C22⋊Dic59—41no—
504C22⋊Dic59—41no—
505C22⋊Dic59—41no—
506(C2×D59)⋊C4—22no—
507(C2×D59)⋊C4—22no—
508(C2×D59)⋊C4—22no—
509(C2×D59)⋊C4—22no—
510(C2×D59)⋊C4—22no—
511(C2×D59)⋊C4—22no—
512(C2×D59)⋊C4—22no—
513(C2×D59)⋊C4—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—
533C4⋊Dic59—22no—
534C4⋊Dic59—41no—
535C4⋊Dic59—41no—
536C4⋊Dic59—41no—
537C4⋊Dic59—41no—
538C4⋊Dic59—41no—
539C4⋊Dic59—41no—
540Dic59⋊C4—22no—
541Dic59⋊C4—22no—
542Dic59⋊C4—22no—
543Dic59⋊C4—41no—
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—41no—
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×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—44no—
577C23×C59—44no—
578C23×C59—44no—
579C23×C59—44no—
580C23×C59—44no—
581C23×C59—44no—
582C23×C59—44no—
583C23×C59C2×#4112yes—
584C23×C59H(5,𝔽2)12yes—
585C23×C59H(5,𝔽2)12yes—
586C23×C59C2511yescharacteristic
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C2×C4×C59—28no—
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—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—44no—
643C2×C4×C59—44no—
644C2×C4×C59—44no—
645C2×C4×C59—44no—
646C2×C4×C59—44no—
647C2×C4×C59C2×#4112yes—
648C2×C4×C59C2×#4112yes—
649C2×C4×C59H(5,𝔽2)12yes—
650C22⋊D59—82no—
651C22⋊D59—82no—
652C22⋊D59—82no—
653C22⋊D59—82no—
654C22⋊D59—82no—
655C22⋊D59—82no—
656C22⋊D59—82no—
657C22⋊D59—82no—
658C22⋊D59—82no—
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—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698D236—82no—
699D236—82no—
700D236—82no—
701C4×D59—82no—
702C4×D59—82no—
703C4×D59—82no—
704Dic118—82no—
705Dic118—82no—
706#36735—591nomaximal, Sylow
707C22×C59—22no—
708C22×C59—22no—
709C22×C59—22no—
710C22×C59—22no—
711C22×C59—22no—
712C22×C59—22no—
713C22×C59—22no—
714C22×C59—22no—
715C22×C59—22no—
716C22×C59—416no—
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×C59—41no—
726C22×C59—41no—
727C22×C59—41no—
728C22×C59—41no—
729C22×C59C22×#4111yescharacteristic
730C22×C59C2×H(5,𝔽2)11yescharacteristic
731C22×C59C2×H(5,𝔽2)11yescharacteristic
732C22×C59C2×H(5,𝔽2)11yescharacteristic
733C22×C59#58511yescharacteristic
734C22×C59#58511yescharacteristic
735C22×C59#58511yescharacteristic
736C2×D59—41no—
737C2×D59—41no—
738C2×D59—41no—
739C2×D59—41no—
740C2×D59—41no—
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—
757C4×C59—22no—
758C4×C59—22no—
759C4×C59—22no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768C4×C59—41no—
769Dic59—41no—
770Dic59—41no—
771Dic59—41no—
772Dic59—41no—
773Dic59—41no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780Dic59—41no—
781Dic59—41no—
782#2849—591no—
783#2847—591no—
784#2747—591no—
785#2740—591no—
786#2739—591no—
787#2737—591no—
788#2737—591no—
789#2717—591no—
790#2703—591no—
791#2697—591no—
792#2696—591no—
793#2693—591no—
794#2688—591no—
795#2686—591no—
796#2684—591no—
797#2678—591no—
798#2672—591no—
799#2670—591no—
800#2665—591no—
801#2661—591no—
802#2597—591no—
803#2578—591no—
804#2557—591no—
805#2557—591no—
806#2477—591no—
807#2476—591no—
808#2474—591no—
809#2471—591no—
810#2335—591no—
811#2333—591no—
812#2280D5911yescharacteristic, complemented
813C2×C59—42no—
814C2×C59—42no—
815C2×C59—42no—
816C2×C59#345511yescharacteristic
817C2×C59#349011yescharacteristic
818C2×C59#349411yescharacteristic
819C2×C59#353311yescharacteristic
820C2×C59#353411yescharacteristic
821C2×C59#354011yescharacteristic
822C2×C59#354211yescharacteristic
823D59—81no—
824D59—81no—
825D59—81no—
826C24×C4C2×D5911yescharacteristic
827C2×#124—591no—
828C2×#124—591no—
829C2×#124—591no—
830C2×#123—591no—
831C2×#123—591no—
832C2×#123—591no—
833C2×#123—591no—
834C2×#123—591no—
835C2×C22⋊Q8—591no—
836C2×#121—591no—
837C2×#121—591no—
838C2×#121—591no—
839C2×#121—591no—
840C2×#120—591no—
841C2×#120—591no—
842C2×#120—591no—
843C2×#117C2×D5911yescharacteristic
844C2×#117C2×D5911yescharacteristic
845#400—591no—
846#400—591no—
847#400—591no—
848#400—591no—
849#400—591no—
850#399—591no—
851#398—591no—
852#398—591no—
853#397—591no—
854#397—591no—
855#397—591no—
856#397—591no—
857#397—591no—
858#397—591no—
859#397—591no—
860#397—591no—
861#397—591no—
862#397—591no—
863#397—591no—
864#397—591no—
865#396—591no—
866#396—591no—
867#396—591no—
868#396—591no—
869#395—591no—
870#395—591no—
871#395—591no—
872#394—591no—
873#394—591no—
874#394—591no—
875#394—591no—
876#394—591no—
877#394—591no—
878#394—591no—
879#394—591no—
880#394—591no—
881#394—591no—
882#393—591no—
883#393—591no—
884#393—591no—
885#393—591no—
886#393—591no—
887#392—591no—
888#392—591no—
889#392—591no—
890#392—591no—
891#392—591no—
892#392—591no—
893#391—591no—
894#391—591no—
895#390—591no—
896#390—591no—
897#390—591no—
898#390—591no—
899#390—591no—
900#390—591no—
901#390—591no—
902#389—591no—
903#388—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#387—591no—
920#387—591no—
921#387—591no—
922#387—591no—
923#387—591no—
924#387—591no—
925#387—591no—
926#387—591no—
927#387—591no—
928#387—591no—
929#387—591no—
930#387—591no—
931#386—591no—
932#386—591no—
933#386—591no—
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#385—591no—
952#385—591no—
953#385—591no—
954#385—591no—
955#385—591no—
956#385—591no—
957#383—591no—
958#381—591no—
959#381—591no—
960#381C2×D5911yescharacteristic
961#381C2×D5911yescharacteristic
962#380—591no—
963#380—591no—
964#380—591no—
965#380—591no—
966#380C2×D5911yescharacteristic
967#380C2×D5911yescharacteristic
968#380C2×D5911yescharacteristic
969#380C2×D5911yescharacteristic
970#379—591no—
971#379C2×D5911yescharacteristic
972#379C2×D5911yescharacteristic
973C4×C4⋊C4—591no—
974C4×C22⋊C4—591no—
975C4×C22⋊C4—591no—
976C4×C22⋊C4—591no—
977C4×C22⋊C4C2×D5911yescharacteristic
978C4×C22⋊C4C2×D5911yescharacteristic
979C4×C22⋊C4C2×D5911yescharacteristic
980C4×C22⋊C4C2×D5911yescharacteristic
981C59#3673511yescharacteristic, complemented, Sylow
982C25C22×D5911yescharacteristic
983C22×Q8—591no—
984C22×Q8—591no—
985C22×D4—591no—
986C22×D4—591no—
987C22×D4—591no—
988C22×D4—591no—
989C22×D4—591no—
990C22×D4—591no—
991C22×D4—591no—
992C22×D4—591no—
993C22×D4—591no—
994C22×D4—591no—
995C22×D4—591no—
996C22×D4—591no—
997C23×C4—24no—
998C23×C4—42no—
999C23×C4—42no—
1000C23×C4—591no—
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4C22×D5911yescharacteristic
1004C23×C4C22×D5911yescharacteristic
1005C23×C4C22×D5911yescharacteristic
1006C23×C4C22×D5911yescharacteristic
1007C23×C4C22×D5911yescharacteristic
1008C23×C4C22×D5911yescharacteristic
1009#124—2362no—
1010#124—2362no—
1011#124—2362no—
1012#123—1184no—
1013#123—2362no—
1014#123—2362no—
1015#123—2362no—
1016#123—2362no—
1017C22⋊Q8—2362no—
1018#121—1184no—
1019#121—2362no—
1020#121—2362no—
1021#121—2362no—
1022#120—2362no—
1023#120—2362no—
1024#120—2362no—
1025#117—42no—
1026#117—42no—
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—591no—
1043C2×C4⋊C4—591no—
1044C2×C4⋊C4—591no—
1045C2×C4⋊C4—591no—
1046C2×C4⋊C4—591no—
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⋊C4C22×D5911yescharacteristic
1094C2×C22⋊C4C22×D5911yescharacteristic
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C22⋊C4C22×D5911yescharacteristic
1104C2×C22⋊C4C22×D5911yescharacteristic
1105C2×C42—591no—
1106C2×C42—591no—
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—591no—
1110C2×C42C22×D5911yescharacteristic
1111C2×C42C22×D5911yescharacteristic
1112C2×C42C22×D5911yescharacteristic
1113C2×C42C22×D5911yescharacteristic
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
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#95C22×D5911yescharacteristic
1151#95C22×D5911yescharacteristic
1152#95C22×D5911yescharacteristic
1153#95C22×D5911yescharacteristic
1154#95C22×D5911yescharacteristic
1155#95C22×D5911yescharacteristic
1156#95C22×D5911yescharacteristic
1157#95C22×D5911yescharacteristic
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24—591no—
1166C24—591no—
1167C24—591no—
1168C24C23×D5911yescharacteristic
1169C24C23×D5911yescharacteristic
1170C24C23×D5911yescharacteristic
1171C2×Q8—2361no—
1172C2×Q8—2361no—
1173C2×Q8—2361no—
1174C2×Q8—2361no—
1175C2×Q8—2361no—
1176C2×Q8—2361no—
1177C2×D4—1182no—
1178C2×D4—1182no—
1179C2×D4—1182no—
1180C2×D4—1182no—
1181C2×D4—1182no—
1182C2×D4—1182no—
1183C2×D4—1182no—
1184C2×D4—1182no—
1185C2×D4—1182no—
1186C2×D4—1182no—
1187C2×D4—2361no—
1188C2×D4—2361no—
1189C2×D4—2361no—
1190C2×D4—2361no—
1191C2×D4—2361no—
1192C2×D4—2361no—
1193C2×D4—2361no—
1194C2×D4—2361no—
1195C2×D4—2361no—
1196C2×D4—2361no—
1197C2×D4—2361no—
1198C2×D4—2361no—
1199C2×D4—2361no—
1200C2×D4—2361no—
1201C2×D4—2361no—
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—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—416no—
1231C22×C4—591no—
1232C22×C4—591no—
1233C22×C4—591no—
1234C22×C4—591no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—591no—
1241C22×C4—591no—
1242C22×C4—591no—
1243C22×C4—591no—
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#1174568514yes—
1254C22×C4C23×D5911yescharacteristic
1255C22×C4C23×D5911yescharacteristic
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
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—1182no—
1271C4⋊C4—1182no—
1272C4⋊C4—1182no—
1273C4⋊C4—1182no—
1274C4⋊C4—2361no—
1275C4⋊C4—2361no—
1276C4⋊C4—2361no—
1277C4⋊C4—2361no—
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—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—1182no—
1303C22⋊C4—1182no—
1304C22⋊C4—1182no—
1305C22⋊C4—1182no—
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—2361no—
1315C22⋊C4—2361no—
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—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—2361no—
1349C42—2361no—
1350C42—2361no—
1351C42—2361no—
1352C42—2361no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
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—44no—
1372C23—44no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
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—
1399C23C2×#1174568512yes—
1400C23#1427377212yes—
1401C23#1427377312yes—
1402C23C24×D5911yescharacteristic
1403Q8—4722no—
1404Q8—4722no—
1405D4—4722no—
1406D4—4722no—
1407D4—4722no—
1408D4—4722no—
1409D4—4722no—
1410D4—4722no—
1411D4—4722no—
1412D4—4722no—
1413D4—4722no—
1414D4—4722no—
1415D4—4722no—
1416D4—4722no—
1417C2×C4—28no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
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—44no—
1452C2×C4—44no—
1453C2×C4—44no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—1181no—
1457C2×C4—1181no—
1458C2×C4—1181no—
1459C2×C4—1181no—
1460C2×C4—1181no—
1461C2×C4—1181no—
1462C2×C4—1181no—
1463C2×C4—1181no—
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—4722no—
1496C2×C4—4722no—
1497C2×C4—4722no—
1498C2×C4C2×#1174568512yes—
1499C2×C4C2×#1174568512yes—
1500C2×C4#1427377212yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—416no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—2361no—
1524C22—2361no—
1525C22—2361no—
1526C22—2361no—
1527C22—2361no—
1528C22—2361no—
1529C22—2361no—
1530C22—2361no—
1531C22—2361no—
1532C22—2361no—
1533C22—2361no—
1534C22—2361no—
1535C22—2361no—
1536C22—2361no—
1537C22—2361no—
1538C22—2361no—
1539C22—2361no—
1540C22—2361no—
1541C22—2361no—
1542C22—2361no—
1543C22—2361no—
1544C22C22×#1174568511yescharacteristic
1545C22C2×#1427377211yescharacteristic
1546C22C2×#1427377211yescharacteristic
1547C22C2×#1427377311yescharacteristic
1548C22#1683823811yescharacteristic
1549C22#1683823811yescharacteristic
1550C22#1683823811yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—2361no—
1564C4—2361no—
1565C4—2361no—
1566C4—2361no—
1567C4—2361no—
1568C4—2361no—
1569C4—2361no—
1570C4—2361no—
1571C4—2361no—
1572C4—2361no—
1573C4—2361no—
1574C4—2361no—
1575C4—2361no—
1576C2—42no—
1577C2—42no—
1578C2—42no—
1579C2—4721no—
1580C2—4721no—
1581C2—4721no—
1582C2#2143748611yescharacteristic
1583C2#2143778511yescharacteristic
1584C2#2143783111yescharacteristic
1585C2#2143826011yescharacteristic
1586C2#2143828011yescharacteristic
1587C2#2143836411yescharacteristic
1588C2#2143840411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2280C2
hypercenter#2280D59
hypocenterC59#36735
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2280

Complements

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

NH ≅ G/Ntype
1. #21432388C2semidirect
2. #21432378C2semidirect
3. #21431291C2semidirect
4. #21431192C2semidirect
5. #21431181C2semidirect
6. #21431151C2semidirect
7. #21431147C2semidirect
8. #21430932C2semidirect
9. #21430739C2semidirect
10. #21430659C2semidirect
11. #21430646C2semidirect
12. #21430605C2semidirect
13. #21430532C2semidirect
14. #21430502C2semidirect
15. #21430476C2semidirect
16. #21430425C2semidirect
17. #21430348C2semidirect
18. #21430322C2semidirect
19. #21430266C2semidirect
20. #21430222C2semidirect
21. #21429641C2semidirect
22. #21429424C2semidirect
23. #21429189C2semidirect
24. #21429189C2semidirect
25. #21428291C2semidirect
26. #21428276C2semidirect
27. #21428246C2semidirect
28. #21428201C2semidirect
29. #21426886C2semidirect
30. #21426861C2semidirect
31. C59×#2280C2semidirect
35. C2×#14273712C22semidirect
40. C2×#14273705C22semidirect
48. #16837344C22semidirect
49. #16837344C22semidirect
50. #16837343C22semidirect
51. #16837343C22semidirect
52. #16837340C22semidirect
53. #16837337C22semidirect
54. #16837335C22semidirect
55. #16837334C22semidirect
56. #16837331C22semidirect
57. #16837331C22semidirect
61. #16837329C22semidirect
62. #16837329C22semidirect
63. #16837329C22semidirect
64. #16837328C22semidirect
65. #16837328C22semidirect
71. #16837324C22semidirect
72. #16837323C22semidirect
73. #16837323C22semidirect
74. #16837322C22semidirect
75. #16837320C22semidirect
76. #16837319C22semidirect
85. #16837315C22semidirect
86. #16837315C22semidirect
90. #16837312C22semidirect
96. #16837308C22semidirect
97. #16837308C22semidirect
98. #16837304C22semidirect
99. #16837304C22semidirect
105. #16837299C22semidirect
111. #16837294C22semidirect
112. #16837293C22semidirect
113. #16837293C22semidirect
114. #16837293C22semidirect
115. #16837293C22semidirect
116. #16837293C22semidirect
117. #16837292C22semidirect
118. #16837292C22semidirect
119. #16837291C22semidirect
122. #16837289C22semidirect
123. #16837288C22semidirect
124. #16837288C22semidirect
125. #16837287C22semidirect
126. #16837287C22semidirect
127. #16837286C22semidirect
128. #16837286C22semidirect
129. #16837286C22semidirect
130. #16837285C22semidirect
131. #16837285C22semidirect
132. #16837284C22semidirect
133. #16837283C22semidirect
144. #16837280C22semidirect
145. #16837280C22semidirect
146. #16837280C22semidirect
147. #16837280C22semidirect
154. #16837276C22semidirect
159. #16837273C22semidirect
160. #16837269C22semidirect
166. #16837261C22semidirect
168. C4×Dic59⋊C4C22semidirect
169. C4×(C2×D59)⋊C4C22semidirect
170. C4×(C2×D59)⋊C4C22semidirect
171. C4×(C2×D59)⋊C4C22semidirect
812. #2280D59semidirect
981. C59#36735semidirect

Maximal subgroups

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

subgroupindex
#214323882
#214323782
#214312912
#214311922
#214311812
#214311512
#214311472
#214309322
#214307392
#214306592
#214306462
#214306052
#214305322
#214305022
#214304762
#214304252
#214303482
#214303222
#214302662
#214302222
#214296412
#214294242
#214291892
#214282912
#214282762
#214282462
#214282012
#214268862
#214268612
C59×#22802
#3673559