Finite Group Databasebeta

← #28761693

Subgroups — #28761693

Order 15104.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837994C211yesmaximal, characteristic, complemented
2C2×#16837985C211yesmaximal, characteristic, complemented
3#21432468C211yesmaximal, characteristic, complemented
4#21432463C211yesmaximal, characteristic, complemented
5#21432427C211yesmaximal, characteristic, complemented
6#21432397C211yesmaximal, characteristic, complemented
7#21430255C211yesmaximal, characteristic, complemented
8#21430244C211yesmaximal, characteristic, complemented
9#21430233C211yesmaximal, characteristic, complemented
10#21430222C211yesmaximal, characteristic, complemented
11#21429234C211yesmaximal, characteristic, complemented
12#21429219C211yesmaximal, characteristic, complemented
13#21429204C211yesmaximal, characteristic, complemented
14#21429189C211yesmaximal, characteristic, complemented
15#21429102C211yesmaximal, characteristic, complemented
16#21429052C211yesmaximal, characteristic, complemented
17#21429022C211yesmaximal, characteristic, complemented
18#21428982C211yesmaximal, characteristic, complemented
19#21428799C211yesmaximal, characteristic, complemented
20#21428769C211yesmaximal, characteristic, complemented
21#21428416C211yesmaximal, characteristic, complemented
22#21428222C211yesmaximal, characteristic, complemented
23#21428102C211yesmaximal, characteristic, complemented
24#21428063C211yesmaximal, characteristic, complemented
25#21427641C211yesmaximal, characteristic, complemented
26#21427626C211yesmaximal, characteristic, complemented
27#21426767C211yesmaximal, characteristic, complemented
28#21426756C211yesmaximal, characteristic, complemented
29C4×#14273701C211yesmaximal, characteristic, complemented
30C2×#16837293C211yesmaximal, characteristic, complemented
31C42×D4×C59C211yesmaximal, characteristic, complemented
32#16837994—28no—
33#16837985—28no—
34C2×#14273722C2211yescharacteristic
35C2×#14273721C2211yescharacteristic
36C2×#14273721C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273719C2211yescharacteristic, complemented
39C2×#14273717C2211yescharacteristic, complemented
40C2×#14273715C2211yescharacteristic
41C2×#14273715C2211yescharacteristic
42C2×#14273713C2211yescharacteristic
43C2×#14273712C2211yescharacteristic
44C2×#14273711C2211yescharacteristic
45C2×#14273711C2211yescharacteristic
46C2×#14273710C2211yescharacteristic
47C2×#14273710C2211yescharacteristic, complemented
48C2×#14273709C2211yescharacteristic, complemented
49C2×#14273708C2211yescharacteristic
50C2×#14273706C2211yescharacteristic, complemented
51C2×#14273705C2211yescharacteristic, complemented
52C2×#14273704C2211yescharacteristic
53C2×#14273704C2211yescharacteristic
54C2×#14273701C2211yescharacteristic
55C2×#14273701C2211yescharacteristic
56C2×#14273701C2211yescharacteristic
57C2×#14273700C2211yescharacteristic
58C2×#14273699C2211yescharacteristic
59C2×#14273699C2211yescharacteristic
60C2×#14273697C2211yescharacteristic
61C2×#14273697C2211yescharacteristic
62C2×#14273695C2211yescharacteristic
63C2×C4×D236C2211yescharacteristic, complemented
64C2×C4×C22⋊D59C2211yescharacteristic
65C2×C4×C22⋊D59C2211yescharacteristic
66C22×Dic59⋊C4C2211yescharacteristic
67C22×(C2×D59)⋊C4C2211yescharacteristic
68C22×(C2×D59)⋊C4C2211yescharacteristic
69C22×(C2×D59)⋊C4C2211yescharacteristic
70#16837342C2211yescharacteristic, complemented
71#16837342C2211yescharacteristic, complemented
72#16837339C2211yescharacteristic
73#16837339C2211yescharacteristic
74#16837334C2211yescharacteristic, complemented
75#16837334C2211yescharacteristic, complemented
76#16837332C2211yescharacteristic, complemented
77#16837332C2211yescharacteristic, complemented
78#16837329C2211yescharacteristic
79#16837329C2211yescharacteristic, complemented
80#16837327C2211yescharacteristic, complemented
81#16837327C2211yescharacteristic, complemented
82#16837324C2211yescharacteristic
83#16837324C2211yescharacteristic
84#16837324C2211yescharacteristic
85#16837324C2211yescharacteristic, complemented
86#16837323C2211yescharacteristic, complemented
87#16837323C2211yescharacteristic, complemented
88#16837320C2211yescharacteristic
89#16837320C2211yescharacteristic
90#16837319C2211yescharacteristic
91#16837319C2211yescharacteristic, complemented
92#16837318C2211yescharacteristic
93#16837318C2211yescharacteristic
94#16837318C2211yescharacteristic
95#16837318C2211yescharacteristic, complemented
96#16837315C2211yescharacteristic
97#16837315C2211yescharacteristic, complemented
98#16837312C2211yescharacteristic
99#16837312C2211yescharacteristic
100#16837311C2211yescharacteristic
101#16837311C2211yescharacteristic, complemented
102#16837308C2211yescharacteristic, complemented
103#16837308C2211yescharacteristic, complemented
104#16837308C2211yescharacteristic, complemented
105#16837304C2211yescharacteristic
106#16837304C2211yescharacteristic
107#16837304C2211yescharacteristic
108#16837304C2211yescharacteristic
109#16837304C2211yescharacteristic
110#16837304C2211yescharacteristic
111#16837304C2211yescharacteristic
112#16837304C2211yescharacteristic
113#16837304C2211yescharacteristic, complemented
114#16837300C2211yescharacteristic, complemented
115#16837300C2211yescharacteristic, complemented
116#16837300C2211yescharacteristic, complemented
117#16837300C2211yescharacteristic, complemented
118#16837300C2211yescharacteristic, complemented
119#16837300C2211yescharacteristic, complemented
120#16837294C2211yescharacteristic
121#16837294C2211yescharacteristic
122#16837293C2211yescharacteristic
123#16837293C2211yescharacteristic
124#16837293C2211yescharacteristic
125#16837293C2211yescharacteristic
126#16837293C2211yescharacteristic
127#16837293C2211yescharacteristic
128#16837293C2211yescharacteristic
129#16837293C2211yescharacteristic
130#16837293C2211yescharacteristic
131#16837293C2211yescharacteristic
132#16837293C2211yescharacteristic
133#16837293C2211yescharacteristic
134#16837293C2211yescharacteristic
135#16837293C2211yescharacteristic
136#16837293C2211yescharacteristic
137#16837293C2211yescharacteristic, complemented
138#16837293C2211yescharacteristic, complemented
139#16837293C2211yescharacteristic, complemented
140#16837293C2211yescharacteristic, complemented
141#16837293C2211yescharacteristic, complemented
142#16837293C2211yescharacteristic, complemented
143#16837293C2211yescharacteristic, complemented
144#16837293C2211yescharacteristic, complemented
145#16837293C2211yescharacteristic, complemented
146#16837287C2211yescharacteristic, complemented
147#16837287C2211yescharacteristic, complemented
148#16837281C2211yescharacteristic
149#16837281C2211yescharacteristic
150#16837281C2211yescharacteristic
151#16837281C2211yescharacteristic
152#16837281C2211yescharacteristic
153#16837281C2211yescharacteristic, complemented
154#16837281C2211yescharacteristic, complemented
155#16837281C2211yescharacteristic, complemented
156#16837280C2211yescharacteristic
157#16837280C2211yescharacteristic
158#16837279C2211yescharacteristic
159#16837279C2211yescharacteristic
160#16837277C2211yescharacteristic
161#16837277C2211yescharacteristic
162#16837276C2211yescharacteristic, complemented
163#16837276C2211yescharacteristic, complemented
164#16837268C2211yescharacteristic, complemented
165#16837263C2211yescharacteristic
166#16837262C2211yescharacteristic
167#16837262C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic
169C4×C4⋊Dic59C2211yescharacteristic, complemented
170C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
171C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic
173C2×C59⋊#95C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic
175C2×C4×D4×C59C2211yescharacteristic
176C2×C4×D4×C59C2211yescharacteristic
177C22×C42×C59C2211yescharacteristic
178C22×C42×C59C2211yescharacteristic, complemented
179C4×C4⋊C4×C59C2211yescharacteristic, complemented
180C4×C4⋊C4×C59C2211yescharacteristic, complemented
181C4×C4⋊C4×C59C2211yescharacteristic, complemented
182C4×C22⋊C4×C59C2211yescharacteristic
183C4×C22⋊C4×C59C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C43×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208#14273722—24no—
209#14273721—24no—
210#14273721—24no—
211#14273720—24no—
212#14273719—24no—
213#14273717—24no—
214#14273715—24no—
215#14273715—42no—
216#14273713—24no—
217#14273712—24no—
218#14273711—24no—
219#14273711—24no—
220#14273710—24no—
221#14273710—24no—
222#14273709—24no—
223#14273708—24no—
224#14273706—24no—
225#14273705—24no—
226#14273704—24no—
227#14273704—24no—
228#14273701—24no—
229#14273701—24no—
230#14273701—42no—
231#14273700—24no—
232#14273699—24no—
233#14273699—24no—
234#14273697—24no—
235#14273697—24no—
236#14273695—24no—
237C4×D236—42no—
238C4×C22⋊D59—24no—
239C4×C22⋊D59—24no—
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×Dic59⋊C4—24no—
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×(C2×D59)⋊C4—24no—
275C2×(C2×D59)⋊C4—24no—
276C2×(C2×D59)⋊C4—42no—
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C22×D4×C59C2311yescharacteristic
346C23×C4×C59C2311yescharacteristic
347C23×C4×C59C2311yescharacteristic
348C23×C4×C59C2311yescharacteristic
349C23×C4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C4×D4×C59—24no—
353C4×D4×C59—24no—
354C4×D4×C59D418yescomplemented
355C2×C4⋊C4×C59C2311yescharacteristic
356C2×C4⋊C4×C59C2311yescharacteristic
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C42×C59—42no—
365C2×C42×C59—42no—
366C2×C42×C59C2311yescharacteristic
367C2×C42×C59C2311yescharacteristic
368C2×C42×C59C2311yescharacteristic
369C2×C42×C59C2311yescharacteristic
370C2×C42×C59C2311yescharacteristic
371C2×C42×C59C2311yescharacteristic
372C2×C42×C59C2311yescharacteristic
373C2×C42×C59C2311yescharacteristic
374C2×C42×C59C2311yescharacteristic
375C2×C42×C59C2311yescharacteristic
376C2×C42×C59C2311yescharacteristic
377C2×C42×C59C2311yescharacteristic
378C2×C42×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C23×D59C2411yescharacteristic
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59C2×D414yes—
401C22×C4×C59—22no—
402C22×C4×C59—22no—
403C22×C4×C59—22no—
404C22×C4×C59—22no—
405C22×C4×C59—22no—
406C22×C4×C59—41no—
407C22×C4×C59—41no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59C2×D414yes—
417C22×C4×C59C2×D414yes—
418C22×C4×C59#4114yes—
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C22×Dic59—22no—
451C22×Dic59—22no—
452C22×Dic59—22no—
453C22×Dic59—22no—
454C22×Dic59—22no—
455C22×Dic59—41no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59—41no—
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C2×D236—22no—
472C2×D236—22no—
473C2×D236—22no—
474C2×D236—22no—
475C2×D236—22no—
476C2×D236—41no—
477C2×D236—41no—
478C2×D236—41no—
479C2×D236—41no—
480C2×D236—41no—
481C2×D236—41no—
482C2×D236—41no—
483C2×D236—41no—
484C2×D236—41no—
485C2×D236—41no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×Dic118—22no—
493C2×Dic118—22no—
494C2×Dic118—41no—
495C2×Dic118—41no—
496C2×Dic118—41no—
497C2×Dic118—41no—
498C4⋊C4×C59—22no—
499C4⋊C4×C59—22no—
500C4⋊C4×C59C2×D414yes—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59C2×D414yes—
505C22⋊C4×C59C2×D414yes—
506C22⋊C4×C59#4114yes—
507C42×C59—22no—
508C42×C59—22no—
509C42×C59—22no—
510C42×C59—22no—
511C42×C59—22no—
512C42×C59—41no—
513C42×C59—41no—
514C42×C59—41no—
515C42×C59—41no—
516C42×C59—41no—
517C42×C59—41no—
518C42×C59—41no—
519C42×C59C2×D414yes—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—22no—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—22no—
532(C2×D59)⋊C4—22no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—22no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4—41no—
566C4⋊Dic59—22no—
567C4⋊Dic59—22no—
568C4⋊Dic59—22no—
569C4⋊Dic59—22no—
570C4⋊Dic59—22no—
571C4⋊Dic59—22no—
572C4⋊Dic59—22no—
573C4⋊Dic59—41no—
574C4⋊Dic59—41no—
575C4⋊Dic59—41no—
576C4⋊Dic59—41no—
577C4⋊Dic59—41no—
578C4⋊Dic59—41no—
579Dic59⋊C4—22no—
580Dic59⋊C4—22no—
581Dic59⋊C4—22no—
582Dic59⋊C4—22no—
583Dic59⋊C4—22no—
584Dic59⋊C4—22no—
585Dic59⋊C4—22no—
586Dic59⋊C4—22no—
587Dic59⋊C4—22no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593C4×Dic59—22no—
594C4×Dic59—22no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59C22×D412yes—
606C23×C59C22×D412yes—
607C23×C59C2×#4112yes—
608C23×C59C2×#4112yes—
609C23×C59C2511yescharacteristic
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—44no—
639C22×D59—44no—
640C22×D59—44no—
641C22×D59—82no—
642C22×D59—82no—
643C22×D59—82no—
644C22×D59—82no—
645D4×C59—28no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—44no—
676C2×C4×C59—44no—
677C2×C4×C59—44no—
678C2×C4×C59—44no—
679C2×C4×C59—44no—
680C2×C4×C59—44no—
681C2×C4×C59C22×D412yes—
682C2×C4×C59C22×D412yes—
683C2×C4×C59C22×D412yes—
684C2×C4×C59C22×D412yes—
685C2×C4×C59C22×D412yes—
686C2×C4×C59C2×#4112yes—
687C2×C4×C59C2×#4112yes—
688C2×C4×C59C2×#4112yes—
689C2×C4×C59C2×#4112yes—
690C2×C4×C59H(5,𝔽2)12yes—
691C22⋊D59—44no—
692C22⋊D59—44no—
693C22⋊D59—82no—
694C22⋊D59—82no—
695C22⋊D59—82no—
696C22⋊D59—82no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—44no—
734C2×Dic59—82no—
735C2×Dic59—82no—
736D236—44no—
737D236—82no—
738D236—82no—
739D236—82no—
740D236—82no—
741C4×D59—82no—
742C4×D59—82no—
743Dic118—82no—
744Dic118—82no—
745#35009—591nomaximal, Sylow
746C22×C59—22no—
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—22no—
754C22×C59—22no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59#53214yes—
760C22×C59C23×D411yescharacteristic
761C22×C59C22×#4111yescharacteristic
762C22×C59C22×#4111yescharacteristic
763C22×C59C2×H(5,𝔽2)11yescharacteristic
764C22×C59#58511yescharacteristic
765C22×C59#58511yescharacteristic
766C22×C59#58511yescharacteristic
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C2×D59—41no—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—41no—
779C2×D59—41no—
780C2×D59—41no—
781C2×D59—41no—
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—88no—
796C4×C59—22no—
797C4×C59—22no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—22no—
802C4×C59—22no—
803C4×C59—22no—
804C4×C59—22no—
805C4×C59—22no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809Dic59—41no—
810Dic59—41no—
811Dic59—41no—
812Dic59—41no—
813Dic59—41no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821C2×#539—591no—
822C2×#538—591no—
823#2861—591no—
824#2860—591no—
825#2854—591no—
826#2850—591no—
827#2664—591no—
828#2663—591no—
829#2662—591no—
830#2661—591no—
831#2560—591no—
832#2559—591no—
833#2558—591no—
834#2557—591no—
835#2549—591no—
836#2543—591no—
837#2539—591no—
838#2534—591no—
839#2521—591no—
840#2519—591no—
841#2488—591no—
842#2472—591no—
843#2464—591no—
844#2461—591no—
845#2425—591no—
846#2424—591no—
847#2322—591no—
848#2321—591no—
849C4×#121—591no—
850C2×#388—591no—
851C42×D4D5911yescharacteristic, complemented
852C2×C59—24no—
853C2×C59—42no—
854C2×C59C2×#53211yescharacteristic
855C2×C59#345511yescharacteristic
856C2×C59#345911yescharacteristic
857C2×C59#349611yescharacteristic
858C2×C59#350011yescharacteristic
859C2×C59#351311yescharacteristic
860C2×C59#352111yescharacteristic
861D59—81no—
862D59—81no—
863D59—81no—
864D59—81no—
865#539—1188no—
866#538—1188no—
867C2×#126—591no—
868C2×#126—591no—
869C2×#126—591no—
870C2×#126—591no—
871C2×#125—591no—
872C2×#125—591no—
873C2×#124—591no—
874C2×#124—591no—
875C2×#124—591no—
876C2×#123—591no—
877C2×#123—591no—
878C2×#123—591no—
879C2×#123—591no—
880C2×#123—591no—
881C2×#123—591no—
882C2×#123—591no—
883C2×C22⋊Q8—591no—
884C2×C22⋊Q8—591no—
885C2×C22⋊Q8—591no—
886C2×C22⋊Q8—591no—
887C2×#121—591no—
888C2×#121—591no—
889C2×#121—591no—
890C2×#121—591no—
891C2×#121—591no—
892C2×#121—591no—
893C2×#120—591no—
894C2×#120—591no—
895C2×#120—591no—
896C2×C4×D4—591no—
897C2×C4×D4—591no—
898C2×C4×D4—591no—
899C2×C4×D4C2×D5911yescharacteristic
900C2×C4×D4C2×D5911yescharacteristic
901C2×C4×D4C2×D5911yescharacteristic
902C22×C4⋊C4—591no—
903C22×C22⋊C4—591no—
904C22×C22⋊C4—591no—
905C22×C22⋊C4—591no—
906C22×C42C2×D5911yescharacteristic
907C22×C42C2×D5911yescharacteristic, complemented
908#400—591no—
909#400—591no—
910#399—591no—
911#399—591no—
912#398—591no—
913#398—591no—
914#398—591no—
915#398—591no—
916#397—591no—
917#397—591no—
918#397—591no—
919#397—591no—
920#396—591no—
921#396—591no—
922#396—591no—
923#396—591no—
924#395—591no—
925#395—591no—
926#394—591no—
927#394—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
932#394—591no—
933#394—591no—
934#393—591no—
935#393—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#391—591no—
941#391—591no—
942#391—591no—
943#390—591no—
944#390—591no—
945#390—591no—
946#390—591no—
947#390—591no—
948#390—591no—
949#390—591no—
950#390—591no—
951#390—591no—
952#389—591no—
953#389—591no—
954#389—591no—
955#389—591no—
956#389—591no—
957#389—591no—
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388—591no—
982#388—591no—
983#388—591no—
984#387—591no—
985#387—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#382—591no—
1003#381—591no—
1004#380—591no—
1005#380—591no—
1006#379—591no—
1007C4×C4⋊C4—591no—
1008C4×C4⋊C4C2×D5911yescharacteristic, complemented
1009C4×C4⋊C4C2×D5911yescharacteristic, complemented
1010C4×C4⋊C4C2×D5911yescharacteristic, complemented
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4C2×D5911yescharacteristic
1014C4×C22⋊C4C2×D5911yescharacteristic
1015C4×C22⋊C4C2×D5911yescharacteristic
1016C4×C22⋊C4C2×D5911yescharacteristic, complemented
1017C4×C22⋊C4C2×D5911yescharacteristic, complemented
1018C4×C22⋊C4C2×D5911yescharacteristic, complemented
1019C2×#95—591no—
1020C2×#95—591no—
1021C43C2×D5911yescharacteristic, complemented
1022C59#3500911yescharacteristic, complemented, Sylow
1023C25—591no—
1024C22×Q8—591no—
1025C22×Q8—591no—
1026C22×D4—591no—
1027C22×D4—591no—
1028C22×D4—591no—
1029C22×D4—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4C22×D5911yescharacteristic
1038C23×C4—591no—
1039C23×C4—591no—
1040C23×C4—591no—
1041C23×C4—591no—
1042C23×C4—591no—
1043C23×C4C22×D5911yescharacteristic
1044C23×C4C22×D5911yescharacteristic
1045C23×C4C22×D5911yescharacteristic
1046C23×C4C22×D5911yescharacteristic
1047C23×C4C22×D5911yescharacteristic
1048C23×C4C22×D5911yescharacteristic
1049#126—1184no—
1050#126—1184no—
1051#126—1184no—
1052#126—1184no—
1053#125—1184no—
1054#125—1184no—
1055#124—1184no—
1056#124—1184no—
1057#124—2362no—
1058#123—1184no—
1059#123—1184no—
1060#123—1184no—
1061#123—1184no—
1062#123—1184no—
1063#123—1184no—
1064#123—1184no—
1065C22⋊Q8—1184no—
1066C22⋊Q8—1184no—
1067C22⋊Q8—1184no—
1068C22⋊Q8—1184no—
1069#121—1184no—
1070#121—1184no—
1071#121—1184no—
1072#121—1184no—
1073#121—1184no—
1074#121—2362no—
1075#120—1184no—
1076#120—1184no—
1077#120—1184no—
1078C4×D4—24no—
1079C4×D4—24no—
1080C4×D4—1184no—
1081C4×D4—1184no—
1082C4×D4—2362no—
1083C4×D4D23618yescomplemented
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—591no—
1095C2×C4⋊C4—591no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—591no—
1110C2×C4⋊C4—591no—
1111C2×C4⋊C4—1184no—
1112C2×C4⋊C4C22×D5911yescharacteristic
1113C2×C4⋊C4C22×D5911yescharacteristic
1114C2×C4⋊C4C22×D5911yescharacteristic
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—1184no—
1162C2×C22⋊C4—1184no—
1163C2×C22⋊C4—2362no—
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C22⋊C4C22×D5911yescharacteristic
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C42—42no—
1171C2×C42—42no—
1172C2×C42—591no—
1173C2×C42—591no—
1174C2×C42C22×D5911yescharacteristic
1175C2×C42C22×D5911yescharacteristic
1176C2×C42C22×D5911yescharacteristic
1177C2×C42C22×D5911yescharacteristic
1178C2×C42C22×D5911yescharacteristic
1179C2×C42C22×D5911yescharacteristic
1180C2×C42C22×D5911yescharacteristic
1181C2×C42C22×D5911yescharacteristic
1182C2×C42C22×D5911yescharacteristic
1183C2×C42C22×D5911yescharacteristic
1184C2×C42C22×D5911yescharacteristic
1185C2×C42C22×D5911yescharacteristic
1186C2×C42C22×D5911yescharacteristic
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95—591no—
1212#95—591no—
1213#95C22×D5911yescharacteristic
1214#95C22×D5911yescharacteristic
1215#95C22×D5911yescharacteristic
1216#95C22×D5911yescharacteristic
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219C24—591no—
1220C24—591no—
1221C24—591no—
1222C24—591no—
1223C24—1182no—
1224C24—1182no—
1225C24—1182no—
1226C24—2361no—
1227C24—2361no—
1228C24—2361no—
1229C24—2361no—
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232C2×Q8—1182no—
1233C2×Q8—1182no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×Q8—2361no—
1237C2×Q8—2361no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—1182no—
1241C2×D4—1182no—
1242C2×D4—1182no—
1243C2×D4—1182no—
1244C2×D4—1182no—
1245C2×D4—1182no—
1246C2×D4—1182no—
1247C2×D4—1182no—
1248C2×D4—1182no—
1249C2×D4—1182no—
1250C2×D4—1182no—
1251C2×D4—1182no—
1252C2×D4—1182no—
1253C2×D4—1182no—
1254C2×D4—1182no—
1255C2×D4—2361no—
1256C2×D4—2361no—
1257C2×D4—2361no—
1258C2×D4—2361no—
1259C2×D4—2361no—
1260C2×D4—2361no—
1261C2×D4—2361no—
1262C2×D4—2361no—
1263C2×D4—2361no—
1264C2×D4—2361no—
1265C2×D4—2361no—
1266C2×D4—2361no—
1267C2×D4—2361no—
1268C2×D4—2361no—
1269C2×D4—2361no—
1270C2×D4—2361no—
1271C2×D4—2361no—
1272C2×D4—2361no—
1273C2×D4C2×D23614yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—591no—
1290C22×C4—591no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—591no—
1295C22×C4—591no—
1296C22×C4—591no—
1297C22×C4—591no—
1298C22×C4—591no—
1299C22×C4—591no—
1300C22×C4—591no—
1301C22×C4—1182no—
1302C22×C4—1182no—
1303C22×C4—1182no—
1304C22×C4—1182no—
1305C22×C4—1182no—
1306C22×C4—1182no—
1307C22×C4—1182no—
1308C22×C4—2361no—
1309C22×C4—2361no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—2361no—
1316C22×C4C2×D23614yes—
1317C22×C4C2×D23614yes—
1318C22×C4#1174568514yes—
1319C22×C4C23×D5911yescharacteristic
1320C22×C4C23×D5911yescharacteristic
1321C22×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C22×C4C23×D5911yescharacteristic
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—1182no—
1335C4⋊C4—1182no—
1336C4⋊C4—1182no—
1337C4⋊C4—1182no—
1338C4⋊C4—1182no—
1339C4⋊C4—1182no—
1340C4⋊C4—1182no—
1341C4⋊C4—1182no—
1342C4⋊C4—1182no—
1343C4⋊C4—1182no—
1344C4⋊C4—1182no—
1345C4⋊C4—1182no—
1346C4⋊C4—1182no—
1347C4⋊C4—1182no—
1348C4⋊C4—1182no—
1349C4⋊C4—1182no—
1350C4⋊C4—1182no—
1351C4⋊C4—1182no—
1352C4⋊C4—1182no—
1353C4⋊C4—1182no—
1354C4⋊C4—1182no—
1355C4⋊C4—2361no—
1356C4⋊C4—2361no—
1357C4⋊C4—2361no—
1358C4⋊C4—2361no—
1359C4⋊C4—2361no—
1360C4⋊C4—2361no—
1361C4⋊C4C2×D23614yes—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—1182no—
1366C22⋊C4—1182no—
1367C22⋊C4—1182no—
1368C22⋊C4—1182no—
1369C22⋊C4—1182no—
1370C22⋊C4—1182no—
1371C22⋊C4—1182no—
1372C22⋊C4—1182no—
1373C22⋊C4—1182no—
1374C22⋊C4—1182no—
1375C22⋊C4—1182no—
1376C22⋊C4—1182no—
1377C22⋊C4—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—1182no—
1381C22⋊C4—1182no—
1382C22⋊C4—1182no—
1383C22⋊C4—1182no—
1384C22⋊C4—1182no—
1385C22⋊C4—1182no—
1386C22⋊C4—1182no—
1387C22⋊C4—1182no—
1388C22⋊C4—1182no—
1389C22⋊C4—1182no—
1390C22⋊C4—1182no—
1391C22⋊C4—1182no—
1392C22⋊C4—1182no—
1393C22⋊C4—1182no—
1394C22⋊C4—1182no—
1395C22⋊C4—1182no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—2361no—
1400C22⋊C4—2361no—
1401C22⋊C4—2361no—
1402C22⋊C4—2361no—
1403C22⋊C4—2361no—
1404C22⋊C4—2361no—
1405C22⋊C4—2361no—
1406C22⋊C4—2361no—
1407C22⋊C4—2361no—
1408C22⋊C4—2361no—
1409C22⋊C4—2361no—
1410C22⋊C4—2361no—
1411C22⋊C4C2×D23614yes—
1412C22⋊C4C2×D23614yes—
1413C22⋊C4#1174568514yes—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—41no—
1420C42—41no—
1421C42—41no—
1422C42—41no—
1423C42—41no—
1424C42—41no—
1425C42—41no—
1426C42—1182no—
1427C42—1182no—
1428C42C2×D23614yes—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—1181no—
1440C23—1181no—
1441C23—1181no—
1442C23—1181no—
1443C23—1181no—
1444C23—1181no—
1445C23—1181no—
1446C23—1181no—
1447C23—1181no—
1448C23—1181no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—4722no—
1468C23—4722no—
1469C23—4722no—
1470C23—4722no—
1471C23—2364no—
1472C23—2364no—
1473C23—2364no—
1474C23C22×D23612yes—
1475C23C22×D23612yes—
1476C23C2×#1174568512yes—
1477C23C2×#1174568512yes—
1478C23C24×D5911yescharacteristic
1479Q8—4722no—
1480Q8—4722no—
1481D4—28no—
1482D4—4722no—
1483D4—4722no—
1484D4—4722no—
1485D4—4722no—
1486D4—4722no—
1487D4—4722no—
1488D4—4722no—
1489D4—4722no—
1490D4—2364no—
1491D4—2364no—
1492D4—2364no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—4722no—
1565C2×C4—4722no—
1566C2×C4—4722no—
1567C2×C4—4722no—
1568C2×C4—2364no—
1569C2×C4C22×D23612yes—
1570C2×C4C22×D23612yes—
1571C2×C4C22×D23612yes—
1572C2×C4C22×D23612yes—
1573C2×C4C22×D23612yes—
1574C2×C4C2×#1174568512yes—
1575C2×C4C2×#1174568512yes—
1576C2×C4C2×#1174568512yes—
1577C2×C4C2×#1174568512yes—
1578C2×C4#1427377212yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—4728no—
1593C22—2361no—
1594C22—2361no—
1595C22—2361no—
1596C22—2361no—
1597C22—2361no—
1598C22—2361no—
1599C22—2361no—
1600C22—2361no—
1601C22—2361no—
1602C22—2361no—
1603C22—2361no—
1604C22—2361no—
1605C22—2361no—
1606C22—2361no—
1607C22—2361no—
1608C22—2361no—
1609C22—2361no—
1610C22—2361no—
1611C22—2361no—
1612C22—2361no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22#1683795214yes—
1622C22C23×D23611yescharacteristic
1623C22C22×#1174568511yescharacteristic
1624C22C22×#1174568511yescharacteristic
1625C22C2×#1427377211yescharacteristic
1626C22#1683823811yescharacteristic
1627C22#1683823811yescharacteristic
1628C22#1683823811yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—2361no—
1643C4—2361no—
1644C4—2361no—
1645C4—2361no—
1646C4—2361no—
1647C4—2361no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C2—24no—
1655C2—42no—
1656C2—4721no—
1657C2—4721no—
1658C2—4721no—
1659C2—4721no—
1660C2C2×#1683795211yescharacteristic
1661C2#2143748111yescharacteristic
1662C2#2143750511yescharacteristic
1663C2#2143786011yescharacteristic
1664C2#2143788911yescharacteristic
1665C2#2143803611yescharacteristic
1666C2#2143816411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC42×D4×C59C2
hypercenterC42×D4D59
hypocenterC59#35009
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
1. C2×#16837994C2semidirect
2. C2×#16837985C2semidirect
3. #21432468C2semidirect
4. #21432463C2semidirect
5. #21432427C2semidirect
6. #21432397C2semidirect
7. #21430255C2semidirect
8. #21430244C2semidirect
9. #21430233C2semidirect
10. #21430222C2semidirect
11. #21429234C2semidirect
12. #21429219C2semidirect
13. #21429204C2semidirect
14. #21429189C2semidirect
15. #21429102C2semidirect
16. #21429052C2semidirect
17. #21429022C2semidirect
18. #21428982C2semidirect
19. #21428799C2semidirect
20. #21428769C2semidirect
21. #21428416C2semidirect
22. #21428222C2semidirect
23. #21428102C2semidirect
24. #21428063C2semidirect
25. #21427641C2semidirect
26. #21427626C2semidirect
27. #21426767C2semidirect
28. #21426756C2semidirect
29. C4×#14273701C2semidirect
30. C2×#16837293C2semidirect
31. C42×D4×C59C2semidirect
36. C2×#14273721C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273719C22semidirect
39. C2×#14273717C22semidirect
47. C2×#14273710C22semidirect
48. C2×#14273709C22semidirect
50. C2×#14273706C22semidirect
51. C2×#14273705C22semidirect
63. C2×C4×D236C22semidirect
70. #16837342C22semidirect
71. #16837342C22semidirect
74. #16837334C22semidirect
75. #16837334C22semidirect
76. #16837332C22semidirect
77. #16837332C22semidirect
79. #16837329C22semidirect
80. #16837327C22semidirect
81. #16837327C22semidirect
85. #16837324C22semidirect
86. #16837323C22semidirect
87. #16837323C22semidirect
91. #16837319C22semidirect
95. #16837318C22semidirect
97. #16837315C22semidirect
101. #16837311C22semidirect
102. #16837308C22semidirect
103. #16837308C22semidirect
104. #16837308C22semidirect
113. #16837304C22semidirect
114. #16837300C22semidirect
115. #16837300C22semidirect
116. #16837300C22semidirect
117. #16837300C22semidirect
118. #16837300C22semidirect
119. #16837300C22semidirect
137. #16837293C22semidirect
138. #16837293C22semidirect
139. #16837293C22semidirect
140. #16837293C22semidirect
141. #16837293C22semidirect
142. #16837293C22semidirect
143. #16837293C22semidirect
144. #16837293C22semidirect
145. #16837293C22semidirect
146. #16837287C22semidirect
147. #16837287C22semidirect
153. #16837281C22semidirect
154. #16837281C22semidirect
155. #16837281C22semidirect
162. #16837276C22semidirect
163. #16837276C22semidirect
164. #16837268C22semidirect
167. #16837262C22semidirect
169. C4×C4⋊Dic59C22semidirect
170. C4×(C2×D59)⋊C4C22semidirect
171. C4×(C2×D59)⋊C4C22semidirect
178. C22×C42×C59C22semidirect
179. C4×C4⋊C4×C59C22semidirect
180. C4×C4⋊C4×C59C22semidirect
181. C4×C4⋊C4×C59C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
187. C4×C22⋊C4×C59C22semidirect
188. C43×C59C22semidirect
354. C4×D4×C59D4semidirect
851. C42×D4D59semidirect
907. C22×C42C2×D59semidirect
1008. C4×C4⋊C4C2×D59semidirect
1009. C4×C4⋊C4C2×D59semidirect
1010. C4×C4⋊C4C2×D59semidirect
1016. C4×C22⋊C4C2×D59semidirect
1017. C4×C22⋊C4C2×D59semidirect
1018. C4×C22⋊C4C2×D59semidirect
1021. C43C2×D59semidirect
1022. C59#35009semidirect
1083. C4×D4D236semidirect

Maximal subgroups

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

subgroupindex
C2×#168379942
C2×#168379852
#214324682
#214324632
#214324272
#214323972
#214302552
#214302442
#214302332
#214302222
#214292342
#214292192
#214292042
#214291892
#214291022
#214290522
#214290222
#214289822
#214287992
#214287692
#214284162
#214282222
#214281022
#214280632
#214276412
#214276262
#214267672
#214267562
C4×#142737012
C2×#168372932
C42×D4×C592
#3500959