Finite Group Databasebeta

← #28761381

Subgroups — #28761381

Order 15104.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837999C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D59C211yesmaximal, characteristic, complemented
3#21432413C211yesmaximal, characteristic, complemented
4#21432402C211yesmaximal, characteristic, complemented
5#21432391C211yesmaximal, characteristic, complemented
6#21432382C211yesmaximal, characteristic, complemented
7#21430017C211yesmaximal, characteristic, complemented
8#21429999C211yesmaximal, characteristic, complemented
9#21429968C211yesmaximal, characteristic, complemented
10#21429941C211yesmaximal, characteristic, complemented
11#21428344C211yesmaximal, characteristic, complemented
12#21428239C211yesmaximal, characteristic, complemented
13#21428134C211yesmaximal, characteristic, complemented
14#21428092C211yesmaximal, characteristic, complemented
15#21428050C211yesmaximal, characteristic, complemented
16#21427978C211yesmaximal, characteristic, complemented
17#21427907C211yesmaximal, characteristic, complemented
18#21427905C211yesmaximal, characteristic, complemented
19#21427831C211yesmaximal, characteristic, complemented
20#21427757C211yesmaximal, characteristic, complemented
21#21427647C211yesmaximal, characteristic, complemented
22#21427573C211yesmaximal, characteristic, complemented
23#21427560C211yesmaximal, characteristic, complemented
24#21427492C211yesmaximal, characteristic, complemented
25#21427464C211yesmaximal, characteristic
26#21427423C211yesmaximal, characteristic, complemented
27#21426799C211yesmaximal, characteristic, complemented
28#21426765C211yesmaximal, characteristic, complemented
29#21426730C211yesmaximal, characteristic, complemented
30C4×#14273696C211yesmaximal, characteristic, complemented
31C2×C59×#385C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16837999—28no—
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273717C2211yescharacteristic, complemented
38C2×#14273717C2211yescharacteristic, complemented
39C2×#14273712C2211yescharacteristic, complemented
40C2×#14273712C2211yescharacteristic, complemented
41C2×#14273712C2211yescharacteristic, complemented
42C2×#14273710C2211yescharacteristic
43C2×#14273710C2211yescharacteristic
44C2×#14273710C2211yescharacteristic, complemented
45C2×#14273706C2211yescharacteristic, complemented
46C2×#14273705C2211yescharacteristic, complemented
47C2×#14273705C2211yescharacteristic, complemented
48C2×#14273705C2211yescharacteristic, complemented
49C2×#14273704C2211yescharacteristic
50C2×#14273701C2211yescharacteristic
51C2×#14273701C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273696C2211yescharacteristic
54C2×C4×C22⋊D59—28no—
55C2×C4×C22⋊D59C2211yescharacteristic
56C2×C4×C22⋊D59C2211yescharacteristic
57C2×C4×C22⋊D59C2211yescharacteristic
58C2×C4×C22⋊D59C2211yescharacteristic
59C2×C4×C22⋊D59C2211yescharacteristic
60C2×C4×C22⋊D59C2211yescharacteristic
61C2×C4×C22⋊D59C2211yescharacteristic
62C2×C4×C22⋊D59C2211yescharacteristic
63C2×C4×C22⋊D59C2211yescharacteristic
64C2×C4×C22⋊D59C2211yescharacteristic, complemented
65C2×C4×C22⋊D59C2211yescharacteristic, complemented
66C22×Dic59⋊C4C2211yescharacteristic
67C22×C22⋊Dic59C2211yescharacteristic
68C22×(C2×D59)⋊C4C2211yescharacteristic
69C22×C4×Dic59C2211yescharacteristic
70#16837343C2211yescharacteristic, complemented
71#16837338C2211yescharacteristic, complemented
72#16837337C2211yescharacteristic, complemented
73#16837337C2211yescharacteristic, complemented
74#16837336C2211yescharacteristic, complemented
75#16837336C2211yescharacteristic, complemented
76#16837335C2211yescharacteristic, complemented
77#16837333C2211yescharacteristic, complemented
78#16837331C2211yescharacteristic, complemented
79#16837331C2211yescharacteristic, complemented
80#16837330C2211yescharacteristic, complemented
81#16837330C2211yescharacteristic, complemented
82#16837329C2211yescharacteristic, complemented
83#16837328C2211yescharacteristic, complemented
84#16837326C2211yescharacteristic, complemented
85#16837325C2211yescharacteristic, complemented
86#16837325C2211yescharacteristic, complemented
87#16837324C2211yescharacteristic, complemented
88#16837322C2211yescharacteristic, complemented
89#16837320C2211yescharacteristic, complemented
90#16837319C2211yescharacteristic, complemented
91#16837318C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837317C2211yescharacteristic
94#16837317C2211yescharacteristic
95#16837317C2211yescharacteristic
96#16837317C2211yescharacteristic
97#16837317C2211yescharacteristic, complemented
98#16837317C2211yescharacteristic, complemented
99#16837314C2211yescharacteristic, complemented
100#16837311C2211yescharacteristic
101#16837311C2211yescharacteristic
102#16837299C2211yescharacteristic, complemented
103#16837297C2211yescharacteristic, complemented
104#16837297C2211yescharacteristic, complemented
105#16837297C2211yescharacteristic, complemented
106#16837294C2211yescharacteristic, complemented
107#16837294C2211yescharacteristic, complemented
108#16837292C2211yescharacteristic, complemented
109#16837292C2211yescharacteristic, complemented
110#16837292C2211yescharacteristic, complemented
111#16837291C2211yescharacteristic, complemented
112#16837291C2211yescharacteristic, complemented
113#16837291C2211yescharacteristic, complemented
114#16837288C2211yescharacteristic, complemented
115#16837288C2211yescharacteristic, complemented
116#16837287C2211yescharacteristic, complemented
117#16837287C2211yescharacteristic, complemented
118#16837285C2211yescharacteristic, complemented
119#16837284C2211yescharacteristic, complemented
120#16837284C2211yescharacteristic, complemented
121#16837284C2211yescharacteristic, complemented
122#16837283C2211yescharacteristic, complemented
123#16837283C2211yescharacteristic, complemented
124#16837281C2211yescharacteristic
125#16837281C2211yescharacteristic
126#16837281C2211yescharacteristic
127#16837281C2211yescharacteristic
128#16837281C2211yescharacteristic
129#16837281C2211yescharacteristic, complemented
130#16837281C2211yescharacteristic, complemented
131#16837281C2211yescharacteristic, complemented
132#16837280C2211yescharacteristic, complemented
133#16837280C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic, complemented
135#16837279C2211yescharacteristic
136#16837279C2211yescharacteristic
137#16837279C2211yescharacteristic
138#16837277C2211yescharacteristic
139#16837277C2211yescharacteristic
140#16837276C2211yescharacteristic, complemented
141#16837276C2211yescharacteristic, complemented
142#16837276C2211yescharacteristic, complemented
143#16837275C2211yescharacteristic
144#16837275C2211yescharacteristic, complemented
145#16837275C2211yescharacteristic, complemented
146#16837275C2211yescharacteristic, complemented
147#16837275C2211yescharacteristic, complemented
148#16837275C2211yescharacteristic, complemented
149#16837274C2211yescharacteristic
150#16837274C2211yescharacteristic
151#16837274C2211yescharacteristic
152#16837273C2211yescharacteristic, complemented
153#16837273C2211yescharacteristic, complemented
154#16837273C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic, complemented
156#16837269C2211yescharacteristic, complemented
157#16837266C2211yescharacteristic, complemented
158#16837265C2211yescharacteristic, complemented
159#16837264C2211yescharacteristic, complemented
160#16837264C2211yescharacteristic, complemented
161#16837262C2211yescharacteristic, complemented
162#16837261C2211yescharacteristic, complemented
163#16837261C2211yescharacteristic, complemented
164#16837260C2211yescharacteristic
165#16837260C2211yescharacteristic
166#16837260C2211yescharacteristic
167#16837258C2211yescharacteristic
168#16837257C2211yescharacteristic
169#16837257C2211yescharacteristic
170#16837257C2211yescharacteristic
171C4×C22⋊Dic59C2211yescharacteristic
172C4×C22⋊Dic59C2211yescharacteristic, complemented
173C4×C22⋊Dic59C2211yescharacteristic, complemented
174C24×C4×C59C2211yescharacteristic
175C22×C4⋊C4×C59C2211yescharacteristic, complemented
176C22×C4⋊C4×C59C2211yescharacteristic, complemented
177C22×C22⋊C4×C59C2211yescharacteristic
178C22×C22⋊C4×C59C2211yescharacteristic
179C59×#385C2211yescharacteristic
180C59×#385C2211yescharacteristic
181C59×#385C2211yescharacteristic
182C59×#385C2211yescharacteristic
183C59×#385C2211yescharacteristic, complemented
184C59×#385C2211yescharacteristic, complemented
185C59×#385C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C2×#95×C59C2211yescharacteristic, complemented
188C2×#95×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59—24no—
194C22×C22⋊D59—24no—
195C22×C22⋊D59—24no—
196C22×C22⋊D59C2311yescharacteristic
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×D59—24no—
207C22×C4×D59—42no—
208C22×C4×D59—42no—
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214#14273722—24no—
215#14273722—24no—
216#14273717—24no—
217#14273717—24no—
218#14273712—24no—
219#14273712—24no—
220#14273712—42no—
221#14273710—24no—
222#14273710—24no—
223#14273710—24no—
224#14273706—24no—
225#14273705—24no—
226#14273705—24no—
227#14273705—42no—
228#14273704—42no—
229#14273701—24no—
230#14273701—24no—
231#14273697—42no—
232#14273696—24no—
233C4×C22⋊D59—24no—
234C4×C22⋊D59—24no—
235C4×C22⋊D59—24no—
236C4×C22⋊D59—24no—
237C4×C22⋊D59—24no—
238C4×C22⋊D59—24no—
239C4×C22⋊D59—24no—
240C4×C22⋊D59—24no—
241C4×C22⋊D59—42no—
242C4×C22⋊D59—42no—
243C4×C22⋊D59D418yescomplemented
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×Dic59⋊C4—24no—
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×C22⋊Dic59—24no—
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×(C2×D59)⋊C4—24no—
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×C4×Dic59—24no—
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
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
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C25×C59C2311yescharacteristic
350C23×C4×C59—24no—
351C23×C4×C59—42no—
352C23×C4×C59—42no—
353C23×C4×C59C2311yescharacteristic
354C23×C4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359C23×C4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361C23×C4×C59C2311yescharacteristic
362C23×C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59—24no—
364C2×C4⋊C4×C59—42no—
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59—24no—
374C2×C22⋊C4×C59—42no—
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
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59—22no—
392C24×C59—22no—
393C24×C59—22no—
394C24×C59—22no—
395C24×C59—41no—
396C24×C59—41no—
397C24×C59#4114yes—
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C24×C59C2411yescharacteristic
401C23×D59—22no—
402C23×D59—22no—
403C23×D59—22no—
404C23×D59—22no—
405C23×D59—22no—
406C23×D59—41no—
407C23×D59—41no—
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C22×C4×C59—22no—
412C22×C4×C59—22no—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—22no—
416C22×C4×C59—22no—
417C22×C4×C59—22no—
418C22×C4×C59—22no—
419C22×C4×C59—22no—
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—22no—
424C22×C4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—22no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—41no—
437C22×C4×C59—41no—
438C22×C4×C59—41no—
439C22×C4×C59—41no—
440C22×C4×C59—416no—
441C22×C4×C59C2×D414yes—
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C2×C22⋊D59—232no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—22no—
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
465C2×C22⋊D59—22no—
466C2×C22⋊D59—22no—
467C2×C22⋊D59—22no—
468C2×C22⋊D59—22no—
469C2×C22⋊D59—22no—
470C2×C22⋊D59—22no—
471C2×C22⋊D59—22no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59C2×D414yes—
475C2×C22⋊D59#4114yes—
476C22×Dic59—22no—
477C22×Dic59—22no—
478C22×Dic59—22no—
479C22×Dic59—22no—
480C22×Dic59—22no—
481C22×Dic59—22no—
482C22×Dic59—22no—
483C22×Dic59—41no—
484C22×Dic59—41no—
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2411yescharacteristic
495C22×Dic59C2411yescharacteristic
496C22×Dic59C2411yescharacteristic
497C22×Dic59C2411yescharacteristic
498C2×D236—22no—
499C2×D236—22no—
500C2×D236—41no—
501C2×D236—41no—
502C2×D236—41no—
503C2×D236—41no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—22no—
510C2×C4×D59—41no—
511C2×C4×D59—41no—
512C2×C4×D59—41no—
513C2×C4×D59—41no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59—416no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59C2×D414yes—
520C2×Dic118—22no—
521C2×Dic118—41no—
522C2×Dic118—41no—
523C4⋊C4×C59—22no—
524C4⋊C4×C59—22no—
525C4⋊C4×C59—22no—
526C4⋊C4×C59—22no—
527C4⋊C4×C59—22no—
528C4⋊C4×C59—22no—
529C4⋊C4×C59—41no—
530C4⋊C4×C59—41no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—22no—
534C22⋊C4×C59—22no—
535C22⋊C4×C59—22no—
536C22⋊C4×C59—22no—
537C22⋊C4×C59—41no—
538C22⋊C4×C59—41no—
539C22⋊Dic59—22no—
540C22⋊Dic59—22no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—22no—
546C22⋊Dic59—22no—
547C22⋊Dic59—22no—
548C22⋊Dic59—22no—
549C22⋊Dic59—41no—
550C22⋊Dic59—41no—
551C22⋊Dic59C2×D414yes—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—22no—
559(C2×D59)⋊C4—22no—
560(C2×D59)⋊C4—22no—
561(C2×D59)⋊C4—22no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4—41no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4—41no—
574(C2×D59)⋊C4—41no—
575(C2×D59)⋊C4—41no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4C2×D414yes—
579C4⋊Dic59—22no—
580C4⋊Dic59—22no—
581C4⋊Dic59—22no—
582C4⋊Dic59—41no—
583C4⋊Dic59—41no—
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—
593Dic59⋊C4—22no—
594Dic59⋊C4—22no—
595Dic59⋊C4—22no—
596Dic59⋊C4—22no—
597Dic59⋊C4—41no—
598Dic59⋊C4—41no—
599Dic59⋊C4—41no—
600Dic59⋊C4—41no—
601Dic59⋊C4—41no—
602Dic59⋊C4—41no—
603Dic59⋊C4—41no—
604Dic59⋊C4C2×D414yes—
605C4×Dic59—22no—
606C4×Dic59—22no—
607C4×Dic59—22no—
608C4×Dic59—22no—
609C4×Dic59—41no—
610C4×Dic59—41no—
611C4×Dic59C2×D414yes—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—28no—
621C23×C59—28no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—44no—
629C23×C59—44no—
630C23×C59—44no—
631C23×C59—44no—
632C23×C59—44no—
633C23×C59C22×D412yes—
634C23×C59C2×#4112yes—
635C23×C59C2×#4112yes—
636C23×C59C2×#4112yes—
637C23×C59C2×#4112yes—
638C23×C59H(5,𝔽2)12yes—
639C23×C592−1+412yes—
640C23×C59C2511yescharacteristic
641C22×D59—28no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—44no—
662C22×D59—44no—
663C22×D59—44no—
664C22×D59—44no—
665C22×D59—44no—
666C22×D59—44no—
667C22×D59C22×D412yes—
668C22×D59C2×#4112yes—
669C2×C4×C59—28no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—44no—
704C2×C4×C59—44no—
705C2×C4×C59—44no—
706C2×C4×C59—44no—
707C2×C4×C59—44no—
708C2×C4×C59—44no—
709C2×C4×C59—44no—
710C2×C4×C59—82no—
711C2×C4×C59—82no—
712C2×C4×C59C22×D412yes—
713C2×C4×C59C22×D412yes—
714C2×C4×C59H(5,𝔽2)12yes—
715C22⋊D59—28no—
716C22⋊D59—28no—
717C22⋊D59—28no—
718C22⋊D59—28no—
719C22⋊D59—44no—
720C22⋊D59—44no—
721C22⋊D59—44no—
722C2×Dic59—28no—
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—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
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—44no—
759C2×Dic59—44no—
760C2×Dic59C22×D412yes—
761C2×Dic59C22×D412yes—
762C2×Dic59C22×D412yes—
763C2×Dic59C2×#4112yes—
764D236—82no—
765D236—82no—
766C4×D59—44no—
767C4×D59—44no—
768C4×D59—44no—
769C4×D59—44no—
770C4×D59—82no—
771Dic118—82no—
772#34991—591nomaximal, Sylow
773C22×C59—22no—
774C22×C59—22no—
775C22×C59—22no—
776C22×C59—22no—
777C22×C59—22no—
778C22×C59—22no—
779C22×C59—22no—
780C22×C59—22no—
781C22×C59—22no—
782C22×C59—22no—
783C22×C59—22no—
784C22×C59—22no—
785C22×C59—22no—
786C22×C59—22no—
787C22×C59—22no—
788C22×C59—416no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59—41no—
793C22×C59#52514yes—
794C22×C59#53914yescomplemented
795C22×C59C23×D411yescharacteristic
796C22×C59C22×#4111yescharacteristic
797C22×C59C22×#4111yescharacteristic
798C22×C59C2×H(5,𝔽2)11yescharacteristic
799C22×C59C2×H(5,𝔽2)11yescharacteristic
800C22×C59C2×2−1+411yescharacteristic
801C22×C59#58511yescharacteristic
802C2×D59—22no—
803C2×D59—22no—
804C2×D59—22no—
805C2×D59—22no—
806C2×D59—22no—
807C2×D59—22no—
808C2×D59—416no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—41no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59—41no—
824C4×C59—22no—
825C4×C59—22no—
826C4×C59—22no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836Dic59—22no—
837Dic59—22no—
838Dic59—22no—
839Dic59—22no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849C2×#539—591no—
850C22×C4×D4—591no—
851#2852—591no—
852#2851—591no—
853#2849—591no—
854#2848—591no—
855#2638—591no—
856#2636—591no—
857#2633—591no—
858#2630—591no—
859#2480—591no—
860#2473—591no—
861#2466—591no—
862#2463—591no—
863#2460—591no—
864#2455—591no—
865#2449—591no—
866#2449—591no—
867#2443—591no—
868#2437—591no—
869#2425—591no—
870#2419—591no—
871#2418—591no—
872#2412—591no—
873#2410—591no—
874#2405—591no—
875#2325—591no—
876#2322—591no—
877#2318—591no—
878C4×#120—591no—
879C2×#385D5911yescharacteristic, complemented
880C2×C59—24no—
881C2×C59—24no—
882C2×C59—42no—
883C2×C59C2×#52511yescharacteristic
884C2×C59C2×#53911yescharacteristic
885C2×C59#345911yescharacteristic
886C2×C59#348411yescharacteristic
887C2×C59#348911yescharacteristic
888C2×C59#351311yescharacteristic
889C2×C59#352011yescharacteristic
890D59—42no—
891D59—42no—
892D59—81no—
893C23×D4—591no—
894C24×C4—591no—
895C24×C4C2×D5911yescharacteristic
896#539—1188no—
897C2×#126—591no—
898C2×#126—591no—
899C2×#125—591no—
900C2×#125—591no—
901C2×#123—591no—
902C2×#123—591no—
903C2×#123—591no—
904C2×#123—591no—
905C2×#123—591no—
906C2×#123—591no—
907C2×C22⋊Q8—591no—
908C2×C22⋊Q8—591no—
909C2×C22⋊Q8—591no—
910C2×C22⋊Q8—591no—
911C2×C22⋊Q8—591no—
912C2×#121—591no—
913C2×#121—591no—
914C2×#120—591no—
915C2×#120—591no—
916C2×C4×D4—591no—
917C2×C4×D4—591no—
918C2×C4×D4—591no—
919C2×C4×D4—591no—
920C2×C4×D4—591no—
921C2×C4×D4—591no—
922C2×C4×D4—591no—
923C2×C4×D4—591no—
924C2×C4×D4—591no—
925C2×C4×D4—591no—
926C2×C4×D4—591no—
927C2×C4×D4—1188no—
928C22×C4⋊C4—591no—
929C22×C4⋊C4C2×D5911yescharacteristic, complemented
930C22×C4⋊C4C2×D5911yescharacteristic, complemented
931C22×C22⋊C4—591no—
932C22×C22⋊C4—591no—
933C22×C22⋊C4C2×D5911yescharacteristic
934C22×C22⋊C4C2×D5911yescharacteristic
935C22×C42—591no—
936#400—591no—
937#399—591no—
938#399—591no—
939#399—591no—
940#398—591no—
941#398—591no—
942#398—591no—
943#398—591no—
944#397—591no—
945#397—591no—
946#397—591no—
947#397—591no—
948#397—591no—
949#397—591no—
950#396—591no—
951#396—591no—
952#396—591no—
953#396—591no—
954#395—591no—
955#394—591no—
956#394—591no—
957#394—591no—
958#394—591no—
959#394—591no—
960#394—591no—
961#394—591no—
962#394—591no—
963#394—591no—
964#394—591no—
965#393—591no—
966#392—591no—
967#392—591no—
968#389—591no—
969#389—591no—
970#389—591no—
971#389—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#387—591no—
981#387—591no—
982#387—591no—
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#387—591no—
989#387—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#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#385—591no—
1009#385—591no—
1010#385—591no—
1011#385—591no—
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385—591no—
1017#385—591no—
1018#385—591no—
1019#385—591no—
1020#385—591no—
1021#385—591no—
1022#385C2×D5911yescharacteristic
1023#385C2×D5911yescharacteristic
1024#385C2×D5911yescharacteristic
1025#385C2×D5911yescharacteristic
1026#385C2×D5911yescharacteristic, complemented
1027#385C2×D5911yescharacteristic, complemented
1028#385C2×D5911yescharacteristic, complemented
1029#385C2×D5911yescharacteristic, complemented
1030#383—591no—
1031#382—591no—
1032#381—591no—
1033#381—591no—
1034#381—591no—
1035#380—591no—
1036#380—591no—
1037#380—591no—
1038#380—591no—
1039#380—591no—
1040#380—591no—
1041#379—591no—
1042#379—591no—
1043#379—591no—
1044#379—591no—
1045C4×C22⋊C4—591no—
1046C4×C22⋊C4—591no—
1047C4×C22⋊C4—591no—
1048C2×#95C2×D5911yescharacteristic, complemented
1049C2×#95C2×D5911yescharacteristic, complemented
1050C59#3499111yescharacteristic, complemented, Sylow
1051C25—591no—
1052C25C22×D5911yescharacteristic
1053C22×Q8—591no—
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—591no—
1061C22×D4—591no—
1062C22×D4—591no—
1063C22×D4—1184no—
1064C22×D4—1184no—
1065C22×D4—1184no—
1066C23×C4—24no—
1067C23×C4—42no—
1068C23×C4—42no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—591no—
1076C23×C4—591no—
1077C23×C4—1184no—
1078C23×C4—2362no—
1079C23×C4—2362no—
1080C23×C4C22×D5911yescharacteristic
1081C23×C4C22×D5911yescharacteristic
1082C23×C4C22×D5911yescharacteristic
1083C23×C4C22×D5911yescharacteristic
1084C23×C4C22×D5911yescharacteristic
1085C23×C4C22×D5911yescharacteristic
1086C23×C4C22×D5911yescharacteristic
1087C23×C4C22×D5911yescharacteristic
1088C23×C4C22×D5911yescharacteristic
1089C23×C4C22×D5911yescharacteristic
1090#126—1184no—
1091#126—1184no—
1092#125—1184no—
1093#125—1184no—
1094#123—1184no—
1095#123—1184no—
1096#123—1184no—
1097#123—1184no—
1098#123—1184no—
1099#123—2362no—
1100C22⋊Q8—1184no—
1101C22⋊Q8—1184no—
1102C22⋊Q8—1184no—
1103C22⋊Q8—2362no—
1104C22⋊Q8—2362no—
1105#121—1184no—
1106#121—1184no—
1107#120—1184no—
1108#120—2362no—
1109C4×D4—598no—
1110C4×D4—1184no—
1111C4×D4—1184no—
1112C4×D4—1184no—
1113C4×D4—1184no—
1114C4×D4—1184no—
1115C4×D4—1184no—
1116C4×D4—1184no—
1117C4×D4—1184no—
1118C4×D4—2362no—
1119C4×D4—2362no—
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—42no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4—591no—
1124C2×C4⋊C4—591no—
1125C2×C4⋊C4—591no—
1126C2×C4⋊C4—591no—
1127C2×C4⋊C4—591no—
1128C2×C4⋊C4—591no—
1129C2×C4⋊C4—591no—
1130C2×C4⋊C4—591no—
1131C2×C4⋊C4—591no—
1132C2×C4⋊C4—591no—
1133C2×C4⋊C4—591no—
1134C2×C4⋊C4—591no—
1135C2×C4⋊C4—591no—
1136C2×C4⋊C4—591no—
1137C2×C4⋊C4—591no—
1138C2×C4⋊C4—591no—
1139C2×C4⋊C4—591no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—591no—
1142C2×C4⋊C4—591no—
1143C2×C4⋊C4—591no—
1144C2×C4⋊C4—591no—
1145C2×C4⋊C4—591no—
1146C2×C4⋊C4—591no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—1184no—
1149C2×C4⋊C4C22×D5911yescharacteristic
1150C2×C4⋊C4C22×D5911yescharacteristic
1151C2×C4⋊C4C22×D5911yescharacteristic
1152C2×C4⋊C4C22×D5911yescharacteristic
1153C2×C4⋊C4C22×D5911yescharacteristic
1154C2×C4⋊C4C22×D5911yescharacteristic
1155C2×C4⋊C4C22×D5911yescharacteristic
1156C2×C4⋊C4C22×D5911yescharacteristic
1157C2×C22⋊C4—24no—
1158C2×C22⋊C4—42no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—1184no—
1200C2×C22⋊C4—1184no—
1201C2×C22⋊C4C22×D5911yescharacteristic
1202C2×C22⋊C4C22×D5911yescharacteristic
1203C2×C22⋊C4C22×D5911yescharacteristic
1204C2×C22⋊C4C22×D5911yescharacteristic
1205C2×C22⋊C4C22×D5911yescharacteristic
1206C2×C22⋊C4C22×D5911yescharacteristic
1207C2×C22⋊C4C22×D5911yescharacteristic
1208C2×C22⋊C4C22×D5911yescharacteristic
1209C2×C42—591no—
1210C2×C42—591no—
1211C2×C42—591no—
1212C2×C42—591no—
1213C2×C42—591no—
1214C2×C42—591no—
1215C2×C42—591no—
1216C2×C42—1184no—
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95C22×D5911yescharacteristic
1246#95C22×D5911yescharacteristic
1247#95C22×D5911yescharacteristic
1248#95C22×D5911yescharacteristic
1249#95C22×D5911yescharacteristic
1250#95C22×D5911yescharacteristic
1251#95C22×D5911yescharacteristic
1252#95C22×D5911yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—41no—
1258C24—41no—
1259C24—591no—
1260C24—591no—
1261C24—591no—
1262C24—1182no—
1263C24—1182no—
1264C24—1182no—
1265C24—1182no—
1266C24—1182no—
1267C24—2361no—
1268C24—2361no—
1269C24#1174568514yes—
1270C24C23×D5911yescharacteristic
1271C24C23×D5911yescharacteristic
1272C24C23×D5911yescharacteristic
1273C2×Q8—1182no—
1274C2×Q8—2361no—
1275C2×Q8—2361no—
1276C2×D4—594no—
1277C2×D4—594no—
1278C2×D4—1182no—
1279C2×D4—1182no—
1280C2×D4—1182no—
1281C2×D4—1182no—
1282C2×D4—1182no—
1283C2×D4—1182no—
1284C2×D4—11832no—
1285C2×D4—1182no—
1286C2×D4—1182no—
1287C2×D4—1182no—
1288C2×D4—1182no—
1289C2×D4—1182no—
1290C2×D4—1182no—
1291C2×D4—1182no—
1292C2×D4—1182no—
1293C2×D4—1182no—
1294C2×D4—1182no—
1295C2×D4—1182no—
1296C2×D4—1182no—
1297C2×D4—1182no—
1298C2×D4—2361no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C2×D4—2361no—
1302C2×D4—2361no—
1303C2×D4—2361no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—416no—
1334C22×C4—591no—
1335C22×C4—591no—
1336C22×C4—591no—
1337C22×C4—591no—
1338C22×C4—594no—
1339C22×C4—591no—
1340C22×C4—591no—
1341C22×C4—591no—
1342C22×C4—591no—
1343C22×C4—591no—
1344C22×C4—591no—
1345C22×C4—591no—
1346C22×C4—591no—
1347C22×C4—591no—
1348C22×C4—1182no—
1349C22×C4—1182no—
1350C22×C4—1182no—
1351C22×C4—1182no—
1352C22×C4—1182no—
1353C22×C4—1182no—
1354C22×C4—1182no—
1355C22×C4—1182no—
1356C22×C4—1182no—
1357C22×C4—1182no—
1358C22×C4—1182no—
1359C22×C4—1182no—
1360C22×C4—1182no—
1361C22×C4—2361no—
1362C22×C4—2361no—
1363C22×C4—2361no—
1364C22×C4—2361no—
1365C22×C4—2361no—
1366C22×C4—2361no—
1367C22×C4—2361no—
1368C22×C4—2361no—
1369C22×C4—23616no—
1370C22×C4—2361no—
1371C22×C4—2361no—
1372C22×C4D4×D5914yes—
1373C22×C4C23×D5911yescharacteristic
1374C22×C4C23×D5911yescharacteristic
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C22×C4C23×D5911yescharacteristic
1378C22×C4C23×D5911yescharacteristic
1379C22×C4C23×D5911yescharacteristic
1380C22×C4C23×D5911yescharacteristic
1381C22×C4C23×D5911yescharacteristic
1382C22×C4C23×D5911yescharacteristic
1383C22×C4C23×D5911yescharacteristic
1384C22×C4C23×D5911yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—594no—
1394C4⋊C4—1182no—
1395C4⋊C4—1182no—
1396C4⋊C4—1182no—
1397C4⋊C4—1182no—
1398C4⋊C4—1182no—
1399C4⋊C4—1182no—
1400C4⋊C4—1182no—
1401C4⋊C4—1182no—
1402C4⋊C4—1182no—
1403C4⋊C4—1182no—
1404C4⋊C4—1182no—
1405C4⋊C4—1182no—
1406C4⋊C4—1182no—
1407C4⋊C4—1182no—
1408C4⋊C4—1182no—
1409C4⋊C4—1182no—
1410C4⋊C4—2361no—
1411C4⋊C4—2361no—
1412C4⋊C4—2361no—
1413C4⋊C4—2361no—
1414C4⋊C4—2361no—
1415C4⋊C4—2361no—
1416C4⋊C4—2361no—
1417C4⋊C4—2361no—
1418C4⋊C4—2361no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—594no—
1428C22⋊C4—594no—
1429C22⋊C4—1182no—
1430C22⋊C4—1182no—
1431C22⋊C4—1182no—
1432C22⋊C4—1182no—
1433C22⋊C4—1182no—
1434C22⋊C4—1182no—
1435C22⋊C4—1182no—
1436C22⋊C4—1182no—
1437C22⋊C4—1182no—
1438C22⋊C4—1182no—
1439C22⋊C4—1182no—
1440C22⋊C4—1182no—
1441C22⋊C4—1182no—
1442C22⋊C4—1182no—
1443C22⋊C4—1182no—
1444C22⋊C4—1182no—
1445C22⋊C4—1182no—
1446C22⋊C4—1182no—
1447C22⋊C4—1182no—
1448C22⋊C4—1182no—
1449C22⋊C4—1182no—
1450C22⋊C4—1182no—
1451C22⋊C4—1182no—
1452C22⋊C4—1182no—
1453C22⋊C4—1182no—
1454C22⋊C4—2361no—
1455C22⋊C4—2361no—
1456C22⋊C4—2361no—
1457C22⋊C4—2361no—
1458C22⋊C4—2361no—
1459C22⋊C4—2361no—
1460C22⋊C4—2361no—
1461C22⋊C4—2361no—
1462C22⋊C4—2361no—
1463C22⋊C4—2361no—
1464C22⋊C4—2361no—
1465C22⋊C4—2361no—
1466C22⋊C4—2361no—
1467C42—594no—
1468C42—1182no—
1469C42—1182no—
1470C42—1182no—
1471C42—1182no—
1472C42—2361no—
1473C42—2361no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—28no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—592no—
1496C23—592no—
1497C23—1188no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1181no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—1181no—
1508C23—1181no—
1509C23—1181no—
1510C23—1181no—
1511C23—1181no—
1512C23—1181no—
1513C23—1181no—
1514C23—1181no—
1515C23—1181no—
1516C23—1181no—
1517C23—2364no—
1518C23—2364no—
1519C23—2364no—
1520C23—2364no—
1521C23—2364no—
1522C23—2364no—
1523C23C2×D4×D5912yes—
1524C23#41×D5912yes—
1525C23C2×#1174568512yes—
1526C23C2×#1174568512yes—
1527C23C2×#1174568512yes—
1528C23#1427377212yes—
1529C23#1427377512yes—
1530C23C24×D5911yescharacteristic
1531Q8—4722no—
1532D4—1188no—
1533D4—1188no—
1534D4—1188no—
1535D4—1188no—
1536D4—4722no—
1537D4—4722no—
1538D4—2364no—
1539D4—2364no—
1540D4—2364no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—82no—
1583C2×C4—82no—
1584C2×C4—592no—
1585C2×C4—592no—
1586C2×C4—592no—
1587C2×C4—592no—
1588C2×C4—1188no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—1181no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—4722no—
1625C2×C4—2364no—
1626C2×C4—2364no—
1627C2×C4—2364no—
1628C2×C4—2364no—
1629C2×C4—2364no—
1630C2×C4—2364no—
1631C2×C4C2×D4×D5912yes—
1632C2×C4C2×D4×D5912yes—
1633C2×C4#1427377212yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—416no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—1182no—
1655C22—1182no—
1656C22—1182no—
1657C22—1182no—
1658C22—1182no—
1659C22—1182no—
1660C22—23616no—
1661C22—2361no—
1662C22—2361no—
1663C22—2361no—
1664C22—2361no—
1665C22—2361no—
1666C22—2361no—
1667C22—2361no—
1668C22—2361no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22—2361no—
1674C22—2361no—
1675C22—2361no—
1676C22#1683791114yes—
1677C22#1683799914yescomplemented
1678C22C22×D4×D5911yescharacteristic
1679C22C2×#41×D5911yescharacteristic
1680C22C22×#1174568511yescharacteristic
1681C22C2×#1427377211yescharacteristic
1682C22C2×#1427377211yescharacteristic
1683C22C2×#1427377511yescharacteristic
1684C22#1683823811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—1182no—
1698C4—1182no—
1699C4—1182no—
1700C4—1182no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4—2361no—
1705C4—2361no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—4721no—
1714C2—2362no—
1715C2—2362no—
1716C2C2×#1683791111yescharacteristic
1717C2C2×#1683799911yescharacteristic
1718C2#2143750511yescharacteristic
1719C2#2143772511yescharacteristic
1720C2#2143777211yescharacteristic
1721C2#2143802811yescharacteristic
1722C2#2143813911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC2×C59×#385C2
prime radical#21427464C2
hypercenterC2×#385D59
hypocenterC59#34991
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
1. C2×#16837999C2semidirect
2. C22×C4×C22⋊D59C2semidirect
3. #21432413C2semidirect
4. #21432402C2semidirect
5. #21432391C2semidirect
6. #21432382C2semidirect
7. #21430017C2semidirect
8. #21429999C2semidirect
9. #21429968C2semidirect
10. #21429941C2semidirect
11. #21428344C2semidirect
12. #21428239C2semidirect
13. #21428134C2semidirect
14. #21428092C2semidirect
15. #21428050C2semidirect
16. #21427978C2semidirect
17. #21427907C2semidirect
18. #21427905C2semidirect
19. #21427831C2semidirect
20. #21427757C2semidirect
21. #21427647C2semidirect
22. #21427573C2semidirect
23. #21427560C2semidirect
24. #21427492C2semidirect
26. #21427423C2semidirect
27. #21426799C2semidirect
28. #21426765C2semidirect
29. #21426730C2semidirect
30. C4×#14273696C2semidirect
31. C2×C59×#385C2semidirect
35. C2×#14273722C22semidirect
36. C2×#14273722C22semidirect
37. C2×#14273717C22semidirect
38. C2×#14273717C22semidirect
39. C2×#14273712C22semidirect
40. C2×#14273712C22semidirect
41. C2×#14273712C22semidirect
44. C2×#14273710C22semidirect
45. C2×#14273706C22semidirect
46. C2×#14273705C22semidirect
47. C2×#14273705C22semidirect
48. C2×#14273705C22semidirect
64. C2×C4×C22⋊D59C22semidirect
65. C2×C4×C22⋊D59C22semidirect
70. #16837343C22semidirect
71. #16837338C22semidirect
72. #16837337C22semidirect
73. #16837337C22semidirect
74. #16837336C22semidirect
75. #16837336C22semidirect
76. #16837335C22semidirect
77. #16837333C22semidirect
78. #16837331C22semidirect
79. #16837331C22semidirect
80. #16837330C22semidirect
81. #16837330C22semidirect
82. #16837329C22semidirect
83. #16837328C22semidirect
84. #16837326C22semidirect
85. #16837325C22semidirect
86. #16837325C22semidirect
87. #16837324C22semidirect
88. #16837322C22semidirect
89. #16837320C22semidirect
90. #16837319C22semidirect
97. #16837317C22semidirect
98. #16837317C22semidirect
99. #16837314C22semidirect
102. #16837299C22semidirect
103. #16837297C22semidirect
104. #16837297C22semidirect
105. #16837297C22semidirect
106. #16837294C22semidirect
107. #16837294C22semidirect
108. #16837292C22semidirect
109. #16837292C22semidirect
110. #16837292C22semidirect
111. #16837291C22semidirect
112. #16837291C22semidirect
113. #16837291C22semidirect
114. #16837288C22semidirect
115. #16837288C22semidirect
116. #16837287C22semidirect
117. #16837287C22semidirect
118. #16837285C22semidirect
119. #16837284C22semidirect
120. #16837284C22semidirect
121. #16837284C22semidirect
122. #16837283C22semidirect
123. #16837283C22semidirect
129. #16837281C22semidirect
130. #16837281C22semidirect
131. #16837281C22semidirect
132. #16837280C22semidirect
133. #16837280C22semidirect
134. #16837280C22semidirect
140. #16837276C22semidirect
141. #16837276C22semidirect
142. #16837276C22semidirect
144. #16837275C22semidirect
145. #16837275C22semidirect
146. #16837275C22semidirect
147. #16837275C22semidirect
148. #16837275C22semidirect
152. #16837273C22semidirect
153. #16837273C22semidirect
154. #16837273C22semidirect
155. #16837273C22semidirect
156. #16837269C22semidirect
157. #16837266C22semidirect
158. #16837265C22semidirect
159. #16837264C22semidirect
160. #16837264C22semidirect
161. #16837262C22semidirect
162. #16837261C22semidirect
163. #16837261C22semidirect
172. C4×C22⋊Dic59C22semidirect
173. C4×C22⋊Dic59C22semidirect
175. C22×C4⋊C4×C59C22semidirect
176. C22×C4⋊C4×C59C22semidirect
183. C59×#385C22semidirect
184. C59×#385C22semidirect
185. C59×#385C22semidirect
186. C59×#385C22semidirect
187. C2×#95×C59C22semidirect
188. C2×#95×C59C22semidirect
243. C4×C22⋊D59D4semidirect
794. C22×C59#539semidirect
879. C2×#385D59semidirect
929. C22×C4⋊C4C2×D59semidirect
930. C22×C4⋊C4C2×D59semidirect
1026. #385C2×D59semidirect
1027. #385C2×D59semidirect
1028. #385C2×D59semidirect
1029. #385C2×D59semidirect
1048. C2×#95C2×D59semidirect
1049. C2×#95C2×D59semidirect
1050. C59#34991semidirect
1677. C22#16837999semidirect

Maximal subgroups

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

subgroupindex
C2×#168379992
C22×C4×C22⋊D592
#214324132
#214324022
#214323912
#214323822
#214300172
#214299992
#214299682
#214299412
#214283442
#214282392
#214281342
#214280922
#214280502
#214279782
#214279072
#214279052
#214278312
#214277572
#214276472
#214275732
#214275602
#214274922
#214274642
#214274232
#214267992
#214267652
#214267302
C4×#142736962
C2×C59×#3852
#3499159