Finite Group Databasebeta

← #28795600

Subgroups — #28795600

Order 15104.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838004C211yesmaximal, characteristic, complemented
2C2×#16837908C211yesmaximal, characteristic, complemented
3#21432390C211yesmaximal, characteristic, complemented
4#21432376C211yesmaximal, characteristic, complemented
5#21430611C211yesmaximal, characteristic, complemented
6#21430608C211yesmaximal, characteristic, complemented
7#21430555C211yesmaximal, characteristic, complemented
8#21430534C211yesmaximal, characteristic, complemented
9#21430511C211yesmaximal, characteristic, complemented
10#21430394C211yesmaximal, characteristic, complemented
11#21430386C211yesmaximal, characteristic, complemented
12#21430368C211yesmaximal, characteristic, complemented
13#21430364C211yesmaximal, characteristic, complemented
14#21430345C211yesmaximal, characteristic, complemented
15#21430331C211yesmaximal, characteristic, complemented
16#21430330C211yesmaximal, characteristic, complemented
17#21430310C211yesmaximal, characteristic, complemented
18#21430310C211yesmaximal, characteristic, complemented
19#21430304C211yesmaximal, characteristic, complemented
20#21429979C211yesmaximal, characteristic, complemented
21#21429934C211yesmaximal, characteristic, complemented
22#21429769C211yesmaximal, characteristic, complemented
23#21429705C211yesmaximal, characteristic, complemented
24#21429659C211yesmaximal, characteristic, complemented
25#21429657C211yesmaximal, characteristic, complemented
26#21429053C211yesmaximal, characteristic, complemented
27#21428995C211yesmaximal, characteristic, complemented
28#21427714C211yesmaximal, characteristic, complemented
29#21427699C211yesmaximal, characteristic, complemented
30#21426726C211yesmaximal, characteristic, complemented
31C59×#2678C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C24×Dic59C2211yescharacteristic
34#16838004—28no—
35C2×#14273723C2211yescharacteristic
36C2×#14273723C2211yescharacteristic
37C2×#14273717C2211yescharacteristic, complemented
38C2×#14273715C2211yescharacteristic, complemented
39#16837908—28no—
40C2×#14273712C2211yescharacteristic, complemented
41C2×#14273711C2211yescharacteristic
42C2×#14273711C2211yescharacteristic
43C2×#14273711C2211yescharacteristic
44C2×#14273709C2211yescharacteristic, complemented
45C2×#14273708C2211yescharacteristic
46C2×#14273704C2211yescharacteristic
47C2×#14273704C2211yescharacteristic
48C2×#14273702C2211yescharacteristic, complemented
49C2×#14273701C2211yescharacteristic, complemented
50C2×#14273700C2211yescharacteristic
51C2×#14273700C2211yescharacteristic
52C2×#14273700C2211yescharacteristic
53C2×#14273700C2211yescharacteristic
54C2×#14273700C2211yescharacteristic, complemented
55C2×#14273699C2211yescharacteristic
56C2×#14273699C2211yescharacteristic
57C2×#14273699C2211yescharacteristic
58C2×#14273699C2211yescharacteristic
59C2×#14273699C2211yescharacteristic
60C2×#14273698C2211yescharacteristic
61C2×#14273698C2211yescharacteristic
62C2×#14273698C2211yescharacteristic, complemented
63C2×#14273696C2211yescharacteristic
64C2×#14273696C2211yescharacteristic
65C2×#14273696C2211yescharacteristic
66C2×D4×Dic59C2211yescharacteristic
67C2×D4×Dic59C2211yescharacteristic
68C2×C4×C22⋊D59C2211yescharacteristic, complemented
69C2×(C22⋊D59)⋊C4C2211yescharacteristic
70C2×(C22⋊D59)⋊C4C2211yescharacteristic
71C2×#14273685C2211yescharacteristic, complemented
72C2×#14273683C2211yescharacteristic
73#16837344C2211yescharacteristic, complemented
74#16837343C2211yescharacteristic, complemented
75#16837341C2211yescharacteristic, complemented
76#16837339C2211yescharacteristic, complemented
77#16837338C2211yescharacteristic
78#16837338C2211yescharacteristic, complemented
79#16837335C2211yescharacteristic, complemented
80#16837334C2211yescharacteristic, complemented
81#16837333C2211yescharacteristic, complemented
82#16837330C2211yescharacteristic
83#16837330C2211yescharacteristic
84#16837330C2211yescharacteristic, complemented
85#16837328C2211yescharacteristic, complemented
86#16837325C2211yescharacteristic, complemented
87#16837324C2211yescharacteristic, complemented
88#16837324C2211yescharacteristic, complemented
89#16837323C2211yescharacteristic, complemented
90#16837320C2211yescharacteristic, complemented
91#16837318C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837318C2211yescharacteristic
94#16837318C2211yescharacteristic
95#16837318C2211yescharacteristic, complemented
96#16837318C2211yescharacteristic, complemented
97#16837317C2211yescharacteristic, complemented
98#16837317C2211yescharacteristic, complemented
99#16837316C2211yescharacteristic
100#16837316C2211yescharacteristic
101#16837314C2211yescharacteristic, complemented
102#16837311C2211yescharacteristic
103#16837311C2211yescharacteristic
104#16837311C2211yescharacteristic
105#16837311C2211yescharacteristic, complemented
106#16837311C2211yescharacteristic, complemented
107#16837310C2211yescharacteristic
108#16837310C2211yescharacteristic
109#16837310C2211yescharacteristic
110#16837310C2211yescharacteristic
111#16837310C2211yescharacteristic
112#16837310C2211yescharacteristic
113#16837310C2211yescharacteristic, complemented
114#16837310C2211yescharacteristic, complemented
115#16837307C2211yescharacteristic, complemented
116#16837300C2211yescharacteristic, complemented
117#16837296C2211yescharacteristic
118#16837296C2211yescharacteristic
119#16837296C2211yescharacteristic, complemented
120#16837295C2211yescharacteristic
121#16837295C2211yescharacteristic
122#16837295C2211yescharacteristic, complemented
123#16837295C2211yescharacteristic, complemented
124#16837291C2211yescharacteristic, complemented
125#16837291C2211yescharacteristic, complemented
126#16837288C2211yescharacteristic, complemented
127#16837286C2211yescharacteristic, complemented
128#16837285C2211yescharacteristic, complemented
129#16837284C2211yescharacteristic, complemented
130#16837282C2211yescharacteristic
131#16837282C2211yescharacteristic
132#16837282C2211yescharacteristic
133#16837282C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic, complemented
135#16837280C2211yescharacteristic, complemented
136#16837279C2211yescharacteristic
137#16837279C2211yescharacteristic
138#16837279C2211yescharacteristic
139#16837279C2211yescharacteristic
140#16837279C2211yescharacteristic
141#16837279C2211yescharacteristic
142#16837279C2211yescharacteristic
143#16837279C2211yescharacteristic, complemented
144#16837279C2211yescharacteristic, complemented
145#16837278C2211yescharacteristic
146#16837278C2211yescharacteristic
147#16837278C2211yescharacteristic
148#16837278C2211yescharacteristic
149#16837278C2211yescharacteristic
150#16837278C2211yescharacteristic
151#16837278C2211yescharacteristic, complemented
152#16837278C2211yescharacteristic, complemented
153#16837277C2211yescharacteristic
154#16837277C2211yescharacteristic
155#16837277C2211yescharacteristic
156#16837277C2211yescharacteristic
157#16837277C2211yescharacteristic, complemented
158#16837276C2211yescharacteristic, complemented
159#16837276C2211yescharacteristic, complemented
160#16837275C2211yescharacteristic, complemented
161#16837273C2211yescharacteristic, complemented
162#16837273C2211yescharacteristic, complemented
163#16837269C2211yescharacteristic, complemented
164#16837267C2211yescharacteristic, complemented
165#16837263C2211yescharacteristic
166#16837263C2211yescharacteristic
167#16837262C2211yescharacteristic, complemented
168#16837260C2211yescharacteristic
169#16837260C2211yescharacteristic
170#16837260C2211yescharacteristic
171#16837259C2211yescharacteristic, complemented
172C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic
176C2×#120×C59C2211yescharacteristic
177C2×#120×C59C2211yescharacteristic
178C59×#397C2211yescharacteristic
179C59×#396C2211yescharacteristic
180C59×#394C2211yescharacteristic
181C59×#394C2211yescharacteristic
182C59×#392C2211yescharacteristic
183C59×#392C2211yescharacteristic
184C59×#390C2211yescharacteristic
185C59×#390C2211yescharacteristic
186C59×#388C2211yescharacteristic
187C59×#386C2211yescharacteristic
188C59×#379C2211yescharacteristic
189C2×#11745687—24no—
190C2×#11745687—42no—
191C2×#11745687—42no—
192C22×Dic118C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C23×Dic59—24no—
212C23×Dic59—42no—
213C23×Dic59—42no—
214C23×Dic59C2311yescharacteristic
215C23×Dic59C2311yescharacteristic
216C23×Dic59C2311yescharacteristic
217C23×Dic59C2311yescharacteristic
218C23×Dic59C2311yescharacteristic
219C23×Dic59C2311yescharacteristic
220C23×Dic59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226#14273723—24no—
227#14273723—42no—
228#14273717—24no—
229#14273715—42no—
230#14273712—24no—
231#14273711—24no—
232#14273711—24no—
233#14273711—42no—
234#14273709—24no—
235#14273708—24no—
236#14273704—24no—
237#14273704—24no—
238#14273702—24no—
239#14273701—24no—
240#14273700—24no—
241#14273700—24no—
242#14273700—24no—
243#14273700—42no—
244#14273700—42no—
245#14273699—24no—
246#14273699—24no—
247#14273699—24no—
248#14273699—42no—
249#14273699—42no—
250#14273698—42no—
251#14273698—42no—
252#14273698—42no—
253#14273696—24no—
254#14273696—42no—
255#14273696—42no—
256D4×Dic59—24no—
257D4×Dic59—24no—
258C4×C22⋊D59—24no—
259(C22⋊D59)⋊C4—24no—
260(C22⋊D59)⋊C4D418yescomplemented
261#14273685—24no—
262#14273683—24no—
263C2×C4⋊Dic59C2311yescharacteristic
264C2×C4⋊Dic59C2311yescharacteristic
265C2×C4⋊Dic59C2311yescharacteristic
266C2×C4⋊Dic59C2311yescharacteristic
267C2×C4⋊Dic59C2311yescharacteristic
268C2×C4⋊Dic59C2311yescharacteristic
269C2×C4⋊Dic59C2311yescharacteristic
270C2×C4⋊Dic59C2311yescharacteristic
271C2×C4⋊Dic59C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C2×Dic59⋊C4C2311yescharacteristic
281C2×Dic59⋊C4C2311yescharacteristic
282C2×Dic59⋊C4C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
295C2×C22⋊Dic59C2311yescharacteristic
296C2×C22⋊Dic59C2311yescharacteristic
297C2×C22⋊Dic59C2311yescharacteristic
298C2×C22⋊Dic59C2311yescharacteristic
299C2×C22⋊Dic59C2311yescharacteristic
300C2×C22⋊Dic59C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C25×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C22×D4×C59C2311yescharacteristic
358C22×D4×C59C2311yescharacteristic
359C22×D4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361#123×C59—24no—
362#121×C59—42no—
363#120×C59—24no—
364#120×C59—42no—
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C42×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59—22no—
392C24×C59—22no—
393C24×C59—22no—
394C24×C59—41no—
395C24×C59—41no—
396C24×C59—41no—
397C24×C59—41no—
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C24×C59C2411yescharacteristic
401C24×C59C2411yescharacteristic
402C24×C59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C23×D59C2411yescharacteristic
405C23×D59C2411yescharacteristic
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C2×D4×C59—41no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
426C2×D4×C59—41no—
427C22×C4×C59—22no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59—41no—
459C2×C22⋊D59—41no—
460C2×C22⋊D59—41no—
461C2×C22⋊D59—41no—
462C2×C22⋊D59—41no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59—41no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59—41no—
480C2×C22⋊D59—41no—
481C2×C22⋊D59—41no—
482C2×C22⋊D59—41no—
483C2×C22⋊D59—41no—
484C2×C22⋊D59C2×D414yes—
485C22×Dic59—22no—
486C22×Dic59—22no—
487C22×Dic59—22no—
488C22×Dic59—22no—
489C22×Dic59—22no—
490C22×Dic59—22no—
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—416no—
506C22×Dic59C2×D414yes—
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C22×Dic59C2411yescharacteristic
513C22×Dic59C2411yescharacteristic
514C22×Dic59C2411yescharacteristic
515C22×Dic59C2411yescharacteristic
516C22×Dic59C2411yescharacteristic
517C22×Dic59C2411yescharacteristic
518C22×Dic59C2411yescharacteristic
519C22×Dic59C2411yescharacteristic
520#11745687—416no—
521C2×D236—22no—
522C2×D236—22no—
523C2×D236—22no—
524C2×D236—41no—
525C2×D236—41no—
526C2×D236—41no—
527C2×D236—41no—
528C2×D236—41no—
529C2×D236—41no—
530C2×C4×D59—22no—
531C2×C4×D59—22no—
532C2×C4×D59—41no—
533C2×C4×D59—41no—
534C2×C4×D59—41no—
535C2×C4×D59—41no—
536C2×C4×D59—41no—
537C2×C4×D59—41no—
538C2×C4×D59—41no—
539C2×C4×D59—41no—
540C2×C4×D59—41no—
541C2×C4×D59—41no—
542C2×C4×D59—41no—
543C2×C4×D59—41no—
544C2×C4×D59C2×D414yes—
545C2×Dic118—22no—
546C2×Dic118—22no—
547C2×Dic118—41no—
548C4⋊C4×C59—22no—
549C4⋊C4×C59—22no—
550C4⋊C4×C59—41no—
551C4⋊C4×C59—41no—
552C22⋊C4×C59—22no—
553C22⋊C4×C59—22no—
554C22⋊C4×C59—22no—
555C22⋊C4×C59—22no—
556C22⋊C4×C59—22no—
557C22⋊C4×C59—22no—
558C22⋊C4×C59—41no—
559C22⋊C4×C59—41no—
560C22⋊C4×C59—41no—
561C22⋊C4×C59—41no—
562C22⋊C4×C59—41no—
563C22⋊C4×C59—41no—
564C22⋊C4×C59—41no—
565C22⋊C4×C59—41no—
566C22⋊C4×C59—41no—
567C22⋊C4×C59—41no—
568C22⋊C4×C59C2×D414yes—
569C42×C59—41no—
570C22⋊Dic59—22no—
571C22⋊Dic59—22no—
572C22⋊Dic59—22no—
573C22⋊Dic59—22no—
574C22⋊Dic59—22no—
575C22⋊Dic59—22no—
576C22⋊Dic59—22no—
577C22⋊Dic59—22no—
578C22⋊Dic59—22no—
579C22⋊Dic59—41no—
580C22⋊Dic59—41no—
581C22⋊Dic59—41no—
582C22⋊Dic59—41no—
583C22⋊Dic59—41no—
584C22⋊Dic59—41no—
585C22⋊Dic59—41no—
586C22⋊Dic59—41no—
587C22⋊Dic59—41no—
588(C2×D59)⋊C4—22no—
589(C2×D59)⋊C4—22no—
590(C2×D59)⋊C4—22no—
591(C2×D59)⋊C4—22no—
592(C2×D59)⋊C4—22no—
593(C2×D59)⋊C4—22no—
594(C2×D59)⋊C4—22no—
595(C2×D59)⋊C4—22no—
596(C2×D59)⋊C4—41no—
597(C2×D59)⋊C4—41no—
598(C2×D59)⋊C4—41no—
599(C2×D59)⋊C4—41no—
600(C2×D59)⋊C4—41no—
601(C2×D59)⋊C4—41no—
602(C2×D59)⋊C4—41no—
603(C2×D59)⋊C4—41no—
604(C2×D59)⋊C4—41no—
605(C2×D59)⋊C4—41no—
606(C2×D59)⋊C4C2×D414yes—
607C4⋊Dic59—22no—
608C4⋊Dic59—22no—
609C4⋊Dic59—22no—
610C4⋊Dic59—22no—
611C4⋊Dic59—22no—
612C4⋊Dic59—41no—
613C4⋊Dic59—41no—
614C4⋊Dic59—41no—
615C4⋊Dic59—41no—
616Dic59⋊C4—22no—
617Dic59⋊C4—22no—
618Dic59⋊C4—22no—
619Dic59⋊C4—22no—
620Dic59⋊C4—22no—
621Dic59⋊C4—22no—
622Dic59⋊C4—41no—
623Dic59⋊C4—41no—
624Dic59⋊C4—41no—
625Dic59⋊C4—41no—
626Dic59⋊C4C2×D414yes—
627C4×Dic59—22no—
628C4×Dic59—22no—
629C4×Dic59—41no—
630C4×Dic59C2×D414yes—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—44no—
664C23×C59—44no—
665C23×C59—44no—
666C23×C59—44no—
667C23×C59—44no—
668C23×C59—44no—
669C23×C59—44no—
670C23×C59C22×D412yes—
671C23×C59H(5,𝔽2)12yes—
672C23×C59H(5,𝔽2)12yes—
673C23×C59C2511yescharacteristic
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—21no—
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—21no—
685C22×D59—21no—
686C22×D59—21no—
687C22×D59—21no—
688C22×D59—21no—
689C22×D59—21no—
690C22×D59—21no—
691C22×D59—21no—
692C22×D59—21no—
693C22×D59—21no—
694C22×D59C22×D412yes—
695D4×C59—44no—
696D4×C59—44no—
697D4×C59—44no—
698D4×C59—82no—
699D4×C59—82no—
700D4×C59—82no—
701D4×C59—82no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—82no—
731C2×C4×C59C22×D412yes—
732C2×C4×C59C22×D412yes—
733C22⋊D59—44no—
734C22⋊D59—44no—
735C22⋊D59—44no—
736C22⋊D59—44no—
737C22⋊D59—44no—
738C22⋊D59—82no—
739C22⋊D59—82no—
740C22⋊D59—82no—
741C22⋊D59—82no—
742C22⋊D59—82no—
743C22⋊D59—82no—
744C22⋊D59—82no—
745C22⋊D59—82no—
746C22⋊D59—82no—
747C22⋊D59—82no—
748C2×Dic59—28no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—44no—
785C2×Dic59—44no—
786C2×Dic59—44no—
787C2×Dic59—44no—
788C2×Dic59—44no—
789C2×Dic59—44no—
790C2×Dic59C22×D412yes—
791C2×Dic59C22×D412yes—
792C2×Dic59C22×D412yes—
793C2×Dic59H(5,𝔽2)12yes—
794D236—82no—
795D236—82no—
796D236—82no—
797C4×D59—44no—
798C4×D59—44no—
799C4×D59—82no—
800C4×D59—82no—
801C4×D59—82no—
802Dic118—44no—
803#36713—591nomaximal, Sylow
804C22×C59—22no—
805C22×C59—22no—
806C22×C59—22no—
807C22×C59—22no—
808C22×C59—22no—
809C22×C59—22no—
810C22×C59—22no—
811C22×C59—22no—
812C22×C59—22no—
813C22×C59—416no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59C23×D411yescharacteristic
841C22×C59C2×H(5,𝔽2)11yescharacteristic
842C22×C59C2×H(5,𝔽2)11yescharacteristic
843C22×C59C2×H(5,𝔽2)11yescharacteristic
844C22×C59#58511yescharacteristic
845C22×C59#58511yescharacteristic
846C22×C59#58511yescharacteristic
847C2×D59—22no—
848C2×D59—22no—
849C2×D59—22no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C4×C59—22no—
869C4×C59—22no—
870C4×C59—41no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878Dic59—22no—
879Dic59—22no—
880Dic59—22no—
881Dic59—22no—
882Dic59—41no—
883Dic59—41no—
884Dic59—41no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891C2×#540—591no—
892C2×#525—591no—
893#2849—591no—
894#2847—591no—
895#2694—591no—
896#2693—591no—
897#2690—591no—
898#2688—591no—
899#2687—591no—
900#2678D5911yescharacteristic, complemented
901#2676—591no—
902#2675—591no—
903#2673—591no—
904#2673—591no—
905#2672—591no—
906#2671—591no—
907#2671—591no—
908#2669—591no—
909#2669—591no—
910#2668—591no—
911#2635—591no—
912#2630—591no—
913#2609—591no—
914#2602—591no—
915#2598—591no—
916#2598—591no—
917#2543—591no—
918#2535—591no—
919#2431—591no—
920#2430—591no—
921#2318—591no—
922C2×C59—42no—
923C2×C59—42no—
924C2×C59—42no—
925C2×C59—81no—
926C2×C59—81no—
927C2×C59#344911yescharacteristic
928C2×C59#348411yescharacteristic
929C2×C59#348811yescharacteristic
930C2×C59#353311yescharacteristic
931C2×C59#353411yescharacteristic
932C2×C59#353911yescharacteristic
933C2×C59#354211yescharacteristic
934D59—42no—
935D59—81no—
936D59—81no—
937C22×#41—591no—
938C24×C4—591no—
939#540—1188no—
940C2×#127—591no—
941C2×#127—591no—
942C2×#125—591no—
943C2×#124—591no—
944#525—1188no—
945C2×#123—591no—
946C2×#123—591no—
947C2×#123—591no—
948C2×#123—591no—
949C2×#123—591no—
950C2×#123—591no—
951C2×#123C2×D5911yescharacteristic
952C2×C22⋊Q8—591no—
953C2×C22⋊Q8—591no—
954C2×#121—591no—
955C2×#121—591no—
956C2×#121—591no—
957C2×#121—591no—
958C2×#121—591no—
959C2×#121—591no—
960C2×#121—591no—
961C2×#121—591no—
962C2×#121—591no—
963C2×#121—591no—
964C2×#121—591no—
965C2×#121—591no—
966C2×#121—591no—
967C2×#121—591no—
968C2×#121—591no—
969C2×#121C2×D5911yescharacteristic
970C2×#120—591no—
971C2×#120—591no—
972C2×#120—591no—
973C2×#120C2×D5911yescharacteristic
974C2×#120C2×D5911yescharacteristic
975C2×C4×D4—591no—
976C2×C4×D4—591no—
977C2×C4×D4—591no—
978C2×C4×D4—591no—
979C2×C4×D4—591no—
980C2×#117—591no—
981C2×#117—591no—
982#400—591no—
983#400—591no—
984#400—591no—
985#399—591no—
986#399—591no—
987#399—591no—
988#398—591no—
989#398—591no—
990#398—591no—
991#397—591no—
992#397—591no—
993#397—591no—
994#397—591no—
995#397C2×D5911yescharacteristic
996#396—591no—
997#396—591no—
998#396—591no—
999#396C2×D5911yescharacteristic
1000#395—591no—
1001#394—591no—
1002#394—591no—
1003#394—591no—
1004#394—591no—
1005#394—591no—
1006#394—591no—
1007#394—591no—
1008#394—591no—
1009#394—591no—
1010#394—591no—
1011#394—591no—
1012#394C2×D5911yescharacteristic
1013#394C2×D5911yescharacteristic
1014#393—591no—
1015#392—591no—
1016#392—591no—
1017#392—591no—
1018#392—591no—
1019#392—591no—
1020#392—591no—
1021#392—591no—
1022#392—591no—
1023#392—591no—
1024#392—591no—
1025#392—591no—
1026#392—591no—
1027#392—591no—
1028#392C2×D5911yescharacteristic
1029#392C2×D5911yescharacteristic
1030#391—591no—
1031#390C2×D5911yescharacteristic
1032#390C2×D5911yescharacteristic
1033#389—591no—
1034#388—591no—
1035#388—591no—
1036#388—591no—
1037#388—591no—
1038#388—591no—
1039#388—591no—
1040#388—591no—
1041#388—591no—
1042#388—591no—
1043#388C2×D5911yescharacteristic
1044#387—591no—
1045#387—591no—
1046#387—591no—
1047#387—591no—
1048#386—591no—
1049#386—591no—
1050#386—591no—
1051#386—591no—
1052#386—591no—
1053#386—591no—
1054#386—591no—
1055#386—591no—
1056#386—591no—
1057#386—591no—
1058#386—591no—
1059#386—591no—
1060#386—591no—
1061#386—591no—
1062#386—591no—
1063#386—591no—
1064#386—591no—
1065#386—591no—
1066#386—591no—
1067#386—591no—
1068#386—591no—
1069#386—591no—
1070#386—591no—
1071#386C2×D5911yescharacteristic
1072#385—591no—
1073#385—591no—
1074#385—591no—
1075#385—591no—
1076#385—591no—
1077#385—591no—
1078#385—591no—
1079#385—591no—
1080#385—591no—
1081#385—591no—
1082#383—591no—
1083#382—591no—
1084#381—591no—
1085#381—591no—
1086#380—591no—
1087#380—591no—
1088#380—591no—
1089#380—591no—
1090#380—591no—
1091#379C2×D5911yescharacteristic
1092C4×C22⋊C4—591no—
1093C2×#95—591no—
1094C59#3671311yescharacteristic, complemented, Sylow
1095C25C22×D5911yescharacteristic
1096C2×#41—1184no—
1097C2×#41—2362no—
1098C2×#41—2362no—
1099C22×Q8—591no—
1100C22×D4—591no—
1101C22×D4—591no—
1102C22×D4—591no—
1103C22×D4—591no—
1104C22×D4—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—591no—
1111C22×D4—591no—
1112C22×D4—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4C22×D5911yescharacteristic
1119C22×D4C22×D5911yescharacteristic
1120C22×D4C22×D5911yescharacteristic
1121C22×D4C22×D5911yescharacteristic
1122C22×D4C22×D5911yescharacteristic
1123C22×D4C22×D5911yescharacteristic
1124C22×D4C22×D5911yescharacteristic
1125C23×C4—591no—
1126C23×C4—591no—
1127C23×C4—591no—
1128C23×C4—591no—
1129C23×C4—591no—
1130C23×C4—591no—
1131C23×C4—591no—
1132C23×C4—591no—
1133C23×C4—591no—
1134C23×C4—591no—
1135C23×C4—591no—
1136C23×C4—591no—
1137C23×C4—1184no—
1138C23×C4—2362no—
1139C23×C4—2362no—
1140C23×C4C22×D5911yescharacteristic
1141#127—1184no—
1142#127—2362no—
1143#125—1184no—
1144#124—2362no—
1145#123—24no—
1146#123—1184no—
1147#123—1184no—
1148#123—1184no—
1149#123—1184no—
1150#123—1184no—
1151#123—2362no—
1152C22⋊Q8—1184no—
1153C22⋊Q8—1184no—
1154#121—42no—
1155#121—1184no—
1156#121—1184no—
1157#121—1184no—
1158#121—1184no—
1159#121—1184no—
1160#121—1184no—
1161#121—1184no—
1162#121—1184no—
1163#121—2362no—
1164#121—2362no—
1165#121—2362no—
1166#121—2362no—
1167#121—2362no—
1168#121—2362no—
1169#121—2362no—
1170#120—24no—
1171#120—42no—
1172#120—1184no—
1173#120—2362no—
1174#120—2362no—
1175C4×D4—598no—
1176C4×D4—1184no—
1177C4×D4—1184no—
1178C4×D4—1184no—
1179C4×D4—1184no—
1180#117—1184no—
1181#117—1184no—
1182C2×C4⋊C4—591no—
1183C2×C4⋊C4—591no—
1184C2×C4⋊C4—591no—
1185C2×C4⋊C4—591no—
1186C2×C4⋊C4—591no—
1187C2×C4⋊C4—591no—
1188C2×C4⋊C4—591no—
1189C2×C4⋊C4—591no—
1190C2×C4⋊C4—591no—
1191C2×C4⋊C4—591no—
1192C2×C4⋊C4—591no—
1193C2×C4⋊C4—591no—
1194C2×C4⋊C4—591no—
1195C2×C4⋊C4—591no—
1196C2×C4⋊C4—591no—
1197C2×C4⋊C4—591no—
1198C2×C4⋊C4—591no—
1199C2×C4⋊C4—591no—
1200C2×C4⋊C4—591no—
1201C2×C4⋊C4—591no—
1202C2×C4⋊C4C22×D5911yescharacteristic
1203C2×C4⋊C4C22×D5911yescharacteristic
1204C2×C4⋊C4C22×D5911yescharacteristic
1205C2×C4⋊C4C22×D5911yescharacteristic
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—591no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—591no—
1221C2×C22⋊C4—591no—
1222C2×C22⋊C4—591no—
1223C2×C22⋊C4—591no—
1224C2×C22⋊C4—591no—
1225C2×C22⋊C4—591no—
1226C2×C22⋊C4—591no—
1227C2×C22⋊C4—591no—
1228C2×C22⋊C4—591no—
1229C2×C22⋊C4—591no—
1230C2×C22⋊C4—591no—
1231C2×C22⋊C4—591no—
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4C22×D5911yescharacteristic
1244C2×C22⋊C4C22×D5911yescharacteristic
1245C2×C22⋊C4C22×D5911yescharacteristic
1246C2×C22⋊C4C22×D5911yescharacteristic
1247C2×C22⋊C4C22×D5911yescharacteristic
1248C2×C22⋊C4C22×D5911yescharacteristic
1249C2×C22⋊C4C22×D5911yescharacteristic
1250C2×C22⋊C4C22×D5911yescharacteristic
1251C2×C22⋊C4C22×D5911yescharacteristic
1252C2×C22⋊C4C22×D5911yescharacteristic
1253C2×C22⋊C4C22×D5911yescharacteristic
1254C2×C22⋊C4C22×D5911yescharacteristic
1255C2×C22⋊C4C22×D5911yescharacteristic
1256C2×C22⋊C4C22×D5911yescharacteristic
1257C2×C22⋊C4C22×D5911yescharacteristic
1258C2×C22⋊C4C22×D5911yescharacteristic
1259C2×C22⋊C4C22×D5911yescharacteristic
1260C2×C42—591no—
1261C2×C42—591no—
1262C2×C42—591no—
1263C2×C42—591no—
1264C2×C42C22×D5911yescharacteristic
1265#95—591no—
1266#95—591no—
1267#95—591no—
1268#95—591no—
1269#95—591no—
1270#95—591no—
1271#95—591no—
1272#95—591no—
1273#95—591no—
1274#95—591no—
1275#95—591no—
1276#95—591no—
1277#95—591no—
1278#95—591no—
1279#95—591no—
1280#95—591no—
1281#95—591no—
1282#95—591no—
1283#95—591no—
1284#95—591no—
1285#95—591no—
1286#95—591no—
1287#95—591no—
1288#95—591no—
1289#95—591no—
1290#95—591no—
1291#95—591no—
1292#95—591no—
1293#95C22×D5911yescharacteristic
1294#95C22×D5911yescharacteristic
1295#95C22×D5911yescharacteristic
1296#95C22×D5911yescharacteristic
1297C24—22no—
1298C24—22no—
1299C24—22no—
1300C24—41no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24—591no—
1305C24—591no—
1306C24—591no—
1307C24C23×D5911yescharacteristic
1308C24C23×D5911yescharacteristic
1309C24C23×D5911yescharacteristic
1310C24C23×D5911yescharacteristic
1311C24C23×D5911yescharacteristic
1312#41—23616no—
1313C2×Q8—1182no—
1314C2×Q8—1182no—
1315C2×Q8—2361no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—594no—
1338C2×D4—1182no—
1339C2×D4—1182no—
1340C2×D4—1182no—
1341C2×D4—1182no—
1342C2×D4—1182no—
1343C2×D4—1182no—
1344C2×D4—1182no—
1345C2×D4—1182no—
1346C2×D4—1182no—
1347C2×D4—1182no—
1348C2×D4—1182no—
1349C2×D4—1182no—
1350C2×D4—1182no—
1351C2×D4—1182no—
1352C2×D4—1182no—
1353C2×D4—1182no—
1354C2×D4—1182no—
1355C2×D4—1182no—
1356C2×D4—2361no—
1357C2×D4—2361no—
1358C2×D4—2361no—
1359C2×D4—2361no—
1360C2×D4—2361no—
1361C2×D4—2361no—
1362C2×D4—2361no—
1363C2×D4—2361no—
1364C2×D4—2361no—
1365C2×D4—2361no—
1366C2×D4—2361no—
1367C2×D4—2361no—
1368C2×D4—2361no—
1369C2×D4—2361no—
1370C2×D4—2361no—
1371C2×D4—2361no—
1372C2×D4—2361no—
1373C2×D4—2361no—
1374C2×D4—2361no—
1375C2×D4—2361no—
1376C2×D4—2361no—
1377C2×D4—2361no—
1378C2×D4—2361no—
1379C2×D4—2361no—
1380C2×D4—2361no—
1381C2×D4—2361no—
1382C2×D4—2361no—
1383C2×D4—2361no—
1384C2×D4—2361no—
1385C2×D4—2361no—
1386C2×D4—2361no—
1387C2×D4—2361no—
1388C2×D4—2361no—
1389C2×D4—2361no—
1390C2×D4—2361no—
1391C22×C4—22no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—594no—
1399C22×C4—594no—
1400C22×C4—591no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—1182no—
1410C22×C4—1182no—
1411C22×C4—1182no—
1412C22×C4—1182no—
1413C22×C4—1182no—
1414C22×C4—1182no—
1415C22×C4—1182no—
1416C22×C4—1182no—
1417C22×C4—1182no—
1418C22×C4—1182no—
1419C22×C4—1182no—
1420C22×C4—1182no—
1421C22×C4—1182no—
1422C22×C4—2361no—
1423C22×C4—2361no—
1424C22×C4—2361no—
1425C22×C4—2361no—
1426C22×C4—2361no—
1427C22×C4—2361no—
1428C22×C4—2361no—
1429C22×C4—2361no—
1430C22×C4—2361no—
1431C22×C4—2361no—
1432C22×C4—2361no—
1433C22×C4—2361no—
1434C22×C4—2361no—
1435C22×C4—2361no—
1436C22×C4—2361no—
1437C22×C4—2361no—
1438C22×C4—2361no—
1439C22×C4—2361no—
1440C22×C4—2361no—
1441C22×C4—2361no—
1442C22×C4—2361no—
1443C22×C4—23616no—
1444C22×C4C23×D5911yescharacteristic
1445C22×C4C23×D5911yescharacteristic
1446C22×C4C23×D5911yescharacteristic
1447C22×C4C23×D5911yescharacteristic
1448C22×C4C23×D5911yescharacteristic
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452C22×C4C23×D5911yescharacteristic
1453C22×C4C23×D5911yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—594no—
1459C4⋊C4—1182no—
1460C4⋊C4—1182no—
1461C4⋊C4—1182no—
1462C4⋊C4—1182no—
1463C4⋊C4—1182no—
1464C4⋊C4—1182no—
1465C4⋊C4—1182no—
1466C4⋊C4—1182no—
1467C4⋊C4—1182no—
1468C4⋊C4—1182no—
1469C4⋊C4—1182no—
1470C4⋊C4—2361no—
1471C4⋊C4—2361no—
1472C4⋊C4—2361no—
1473C4⋊C4—2361no—
1474C4⋊C4—2361no—
1475C4⋊C4—2361no—
1476C4⋊C4—2361no—
1477C4⋊C4—2361no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—594no—
1495C22⋊C4—1182no—
1496C22⋊C4—1182no—
1497C22⋊C4—1182no—
1498C22⋊C4—1182no—
1499C22⋊C4—1182no—
1500C22⋊C4—1182no—
1501C22⋊C4—1182no—
1502C22⋊C4—1182no—
1503C22⋊C4—1182no—
1504C22⋊C4—1182no—
1505C22⋊C4—1182no—
1506C22⋊C4—1182no—
1507C22⋊C4—1182no—
1508C22⋊C4—1182no—
1509C22⋊C4—1182no—
1510C22⋊C4—1182no—
1511C22⋊C4—1182no—
1512C22⋊C4—2361no—
1513C22⋊C4—2361no—
1514C22⋊C4—2361no—
1515C22⋊C4—2361no—
1516C22⋊C4—2361no—
1517C22⋊C4—2361no—
1518C22⋊C4—2361no—
1519C22⋊C4—2361no—
1520C22⋊C4—2361no—
1521C22⋊C4—2361no—
1522C22⋊C4—2361no—
1523C22⋊C4—2361no—
1524C22⋊C4—2361no—
1525C22⋊C4—2361no—
1526C22⋊C4—2361no—
1527C22⋊C4—2361no—
1528C22⋊C4—2361no—
1529C22⋊C4—2361no—
1530C22⋊C4—2361no—
1531C22⋊C4D4×D5914yes—
1532C42—41no—
1533C42—594no—
1534C42—1182no—
1535C42—1182no—
1536C42—2361no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—44no—
1570C23—44no—
1571C23—44no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—592no—
1577C23—1181no—
1578C23—1181no—
1579C23—1181no—
1580C23—1181no—
1581C23—1181no—
1582C23—1181no—
1583C23—1181no—
1584C23—1181no—
1585C23—1181no—
1586C23—1181no—
1587C23—1181no—
1588C23—1181no—
1589C23—1181no—
1590C23—1181no—
1591C23—1181no—
1592C23—1181no—
1593C23—1181no—
1594C23—1181no—
1595C23—1181no—
1596C23—1181no—
1597C23C2×D4×D5912yes—
1598C23#1427377212yes—
1599C23#1427377312yes—
1600C23C24×D5911yescharacteristic
1601Q8—2364no—
1602D4—44no—
1603D4—44no—
1604D4—44no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—82no—
1609D4—4722no—
1610D4—4722no—
1611D4—4722no—
1612D4—4722no—
1613D4—4722no—
1614D4—4722no—
1615D4—4722no—
1616D4—4722no—
1617D4—4722no—
1618D4—4722no—
1619D4—4722no—
1620D4—4722no—
1621D4—4722no—
1622D4—2364no—
1623D4—2364no—
1624D4—2364no—
1625D4—2364no—
1626D4—2364no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—82no—
1656C2×C4—592no—
1657C2×C4—592no—
1658C2×C4—592no—
1659C2×C4—592no—
1660C2×C4—1188no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—4722no—
1697C2×C4—4722no—
1698C2×C4—4722no—
1699C2×C4—2364no—
1700C2×C4—2364no—
1701C2×C4—2364no—
1702C2×C4—2364no—
1703C2×C4—2364no—
1704C2×C4—2364no—
1705C2×C4—2364no—
1706C2×C4—2364no—
1707C2×C4C2×D4×D5912yes—
1708C2×C4C2×D4×D5912yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—416no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—1182no—
1746C22—1182no—
1747C22—1182no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22—2361no—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22C22×D4×D5911yescharacteristic
1767C22H(5,𝔽2)×D5911yescharacteristic
1768C22C2×#1427377211yescharacteristic
1769C22C2×#1427377311yescharacteristic
1770C22#1683823711yescharacteristic
1771C22#1683823711yescharacteristic
1772C22#1683823711yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—1182no—
1784C4—1182no—
1785C4—1182no—
1786C4—1182no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4—2361no—
1792C4—2361no—
1793C4—2361no—
1794C4—2361no—
1795C4—2361no—
1796C2—42no—
1797C2—42no—
1798C2—42no—
1799C2—81no—
1800C2—81no—
1801C2—4721no—
1802C2—4721no—
1803C2—2362no—
1804C2#2143742711yescharacteristic
1805C2#2143772611yescharacteristic
1806C2#2143775611yescharacteristic
1807C2#2143826411yescharacteristic
1808C2#2143828211yescharacteristic
1809C2#2143835011yescharacteristic
1810C2#2143840711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2678C2
hypercenter#2678D59
hypocenterC59#36713
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#16838004C2semidirect
2. C2×#16837908C2semidirect
3. #21432390C2semidirect
4. #21432376C2semidirect
5. #21430611C2semidirect
6. #21430608C2semidirect
7. #21430555C2semidirect
8. #21430534C2semidirect
9. #21430511C2semidirect
10. #21430394C2semidirect
11. #21430386C2semidirect
12. #21430368C2semidirect
13. #21430364C2semidirect
14. #21430345C2semidirect
15. #21430331C2semidirect
16. #21430330C2semidirect
17. #21430310C2semidirect
18. #21430310C2semidirect
19. #21430304C2semidirect
20. #21429979C2semidirect
21. #21429934C2semidirect
22. #21429769C2semidirect
23. #21429705C2semidirect
24. #21429659C2semidirect
25. #21429657C2semidirect
26. #21429053C2semidirect
27. #21428995C2semidirect
28. #21427714C2semidirect
29. #21427699C2semidirect
30. #21426726C2semidirect
31. C59×#2678C2semidirect
37. C2×#14273717C22semidirect
38. C2×#14273715C22semidirect
40. C2×#14273712C22semidirect
44. C2×#14273709C22semidirect
48. C2×#14273702C22semidirect
49. C2×#14273701C22semidirect
54. C2×#14273700C22semidirect
62. C2×#14273698C22semidirect
68. C2×C4×C22⋊D59C22semidirect
71. C2×#14273685C22semidirect
73. #16837344C22semidirect
74. #16837343C22semidirect
75. #16837341C22semidirect
76. #16837339C22semidirect
78. #16837338C22semidirect
79. #16837335C22semidirect
80. #16837334C22semidirect
81. #16837333C22semidirect
84. #16837330C22semidirect
85. #16837328C22semidirect
86. #16837325C22semidirect
87. #16837324C22semidirect
88. #16837324C22semidirect
89. #16837323C22semidirect
90. #16837320C22semidirect
95. #16837318C22semidirect
96. #16837318C22semidirect
97. #16837317C22semidirect
98. #16837317C22semidirect
101. #16837314C22semidirect
105. #16837311C22semidirect
106. #16837311C22semidirect
113. #16837310C22semidirect
114. #16837310C22semidirect
115. #16837307C22semidirect
116. #16837300C22semidirect
119. #16837296C22semidirect
122. #16837295C22semidirect
123. #16837295C22semidirect
124. #16837291C22semidirect
125. #16837291C22semidirect
126. #16837288C22semidirect
127. #16837286C22semidirect
128. #16837285C22semidirect
129. #16837284C22semidirect
133. #16837282C22semidirect
134. #16837280C22semidirect
135. #16837280C22semidirect
143. #16837279C22semidirect
144. #16837279C22semidirect
151. #16837278C22semidirect
152. #16837278C22semidirect
157. #16837277C22semidirect
158. #16837276C22semidirect
159. #16837276C22semidirect
160. #16837275C22semidirect
161. #16837273C22semidirect
162. #16837273C22semidirect
163. #16837269C22semidirect
164. #16837267C22semidirect
167. #16837262C22semidirect
171. #16837259C22semidirect
172. C4×(C2×D59)⋊C4C22semidirect
173. #95×D59C22semidirect
260. (C22⋊D59)⋊C4D4semidirect
900. #2678D59semidirect
1094. C59#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#168380042
C2×#168379082
#214323902
#214323762
#214306112
#214306082
#214305552
#214305342
#214305112
#214303942
#214303862
#214303682
#214303642
#214303452
#214303312
#214303302
#214303102
#214303042
#214299792
#214299342
#214297692
#214297052
#214296592
#214296572
#214290532
#214289952
#214277142
#214276992
#214267262
C59×#26782
#3671359