Finite Group Databasebeta

← #28761294

Subgroups — #28761294

Order 15104.

2902 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837991C211yesmaximal, characteristic, complemented
2C2×C4×D4×D59C211yesmaximal, characteristic, complemented
3#21432431C211yesmaximal, characteristic, complemented
4#21432429C211yesmaximal, characteristic, complemented
5#21432391C211yesmaximal, characteristic, complemented
6#21432389C211yesmaximal, characteristic, complemented
7#21429906C211yesmaximal, characteristic, complemented
8#21429831C211yesmaximal, characteristic, complemented
9#21429809C211yesmaximal, characteristic, complemented
10#21429809C211yesmaximal, characteristic, complemented
11#21428137C211yesmaximal, characteristic, complemented
12#21428133C211yesmaximal, characteristic, complemented
13#21428128C211yesmaximal, characteristic, complemented
14#21428037C211yesmaximal, characteristic, complemented
15#21428033C211yesmaximal, characteristic, complemented
16#21428030C211yesmaximal, characteristic, complemented
17#21428026C211yesmaximal, characteristic, complemented
18#21427991C211yesmaximal, characteristic, complemented
19#21427988C211yesmaximal, characteristic, complemented
20#21427986C211yesmaximal, characteristic, complemented
21#21427985C211yesmaximal, characteristic, complemented
22#21427980C211yesmaximal, characteristic, complemented
23#21427978C211yesmaximal, characteristic, complemented
24#21427977C211yesmaximal, characteristic, complemented
25#21427974C211yesmaximal, characteristic, complemented
26#21426769C211yesmaximal, characteristic, complemented
27#21426760C211yesmaximal, characteristic, complemented
28#21426690C211yesmaximal, characteristic, complemented
29C4×#14273697C211yesmaximal, characteristic, complemented
30#21426597C211yesmaximal, characteristic, complemented
31C59×#2466C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837991—28no—
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273715C2211yescharacteristic, complemented
38C2×#14273713C2211yescharacteristic, complemented
39C2×#14273712C2211yescharacteristic
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic, complemented
42C2×#14273712C2211yescharacteristic, complemented
43C2×#14273712C2211yescharacteristic, complemented
44C2×#14273711C2211yescharacteristic, complemented
45C2×#14273710C2211yescharacteristic, complemented
46C2×#14273709C2211yescharacteristic, complemented
47C2×#14273705C2211yescharacteristic
48C2×#14273702C2211yescharacteristic
49C2×#14273702C2211yescharacteristic, complemented
50C2×#14273700C2211yescharacteristic, complemented
51C2×#14273697C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273697C2211yescharacteristic
54C2×#14273697C2211yescharacteristic
55C2×C4×D236C2211yescharacteristic
56C2×C4×D236C2211yescharacteristic
57C2×C4×D236C2211yescharacteristic, complemented
58C2×D4×Dic59C2211yescharacteristic
59C2×#14273689C2211yescharacteristic
60C2×#14273689C2211yescharacteristic
61C2×#14273689C2211yescharacteristic, complemented
62C2×C4×C22⋊D59C2211yescharacteristic
63C2×C4×C22⋊D59C2211yescharacteristic
64C2×C4×C22⋊D59C2211yescharacteristic, complemented
65C2×(C22⋊D59)⋊C4C2211yescharacteristic
66C2×(C22⋊D59)⋊C4C2211yescharacteristic
67C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
68C4×D4×D59—28no—
69C2×C4⋊C4×D59C2211yescharacteristic
70C2×C22⋊C4×D59C2211yescharacteristic
71C2×C22⋊C4×D59C2211yescharacteristic
72C2×C42×D59C2211yescharacteristic
73#16837338C2211yescharacteristic, complemented
74#16837337C2211yescharacteristic, complemented
75#16837328C2211yescharacteristic, complemented
76#16837325C2211yescharacteristic, complemented
77#16837324C2211yescharacteristic, complemented
78#16837324C2211yescharacteristic, complemented
79#16837320C2211yescharacteristic, complemented
80#16837320C2211yescharacteristic, complemented
81#16837319C2211yescharacteristic
82#16837319C2211yescharacteristic
83#16837317C2211yescharacteristic
84#16837317C2211yescharacteristic
85#16837317C2211yescharacteristic
86#16837317C2211yescharacteristic
87#16837317C2211yescharacteristic, complemented
88#16837317C2211yescharacteristic, complemented
89#16837315C2211yescharacteristic, complemented
90#16837314C2211yescharacteristic, complemented
91#16837312C2211yescharacteristic
92#16837312C2211yescharacteristic
93#16837312C2211yescharacteristic, complemented
94#16837311C2211yescharacteristic
95#16837311C2211yescharacteristic
96#16837311C2211yescharacteristic
97#16837311C2211yescharacteristic
98#16837311C2211yescharacteristic, complemented
99#16837310C2211yescharacteristic
100#16837310C2211yescharacteristic
101#16837306C2211yescharacteristic, complemented
102#16837306C2211yescharacteristic, complemented
103#16837304C2211yescharacteristic, complemented
104#16837303C2211yescharacteristic, complemented
105#16837301C2211yescharacteristic, complemented
106#16837299C2211yescharacteristic, complemented
107#16837299C2211yescharacteristic, complemented
108#16837298C2211yescharacteristic, complemented
109#16837297C2211yescharacteristic, complemented
110#16837297C2211yescharacteristic, complemented
111#16837296C2211yescharacteristic, complemented
112#16837295C2211yescharacteristic, complemented
113#16837294C2211yescharacteristic, complemented
114#16837294C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837293C2211yescharacteristic, complemented
117#16837292C2211yescharacteristic, complemented
118#16837292C2211yescharacteristic, complemented
119#16837292C2211yescharacteristic, complemented
120#16837292C2211yescharacteristic, complemented
121#16837291C2211yescharacteristic, complemented
122#16837291C2211yescharacteristic, complemented
123#16837291C2211yescharacteristic, complemented
124#16837291C2211yescharacteristic, complemented
125#16837290C2211yescharacteristic, complemented
126#16837288C2211yescharacteristic, complemented
127#16837287C2211yescharacteristic, complemented
128#16837286C2211yescharacteristic, complemented
129#16837286C2211yescharacteristic, complemented
130#16837284C2211yescharacteristic, complemented
131#16837283C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic, complemented
133#16837281C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic
137#16837280C2211yescharacteristic
138#16837280C2211yescharacteristic, complemented
139#16837280C2211yescharacteristic, complemented
140#16837280C2211yescharacteristic, complemented
141#16837280C2211yescharacteristic, complemented
142#16837279C2211yescharacteristic, complemented
143#16837279C2211yescharacteristic, complemented
144#16837277C2211yescharacteristic, complemented
145#16837276C2211yescharacteristic
146#16837276C2211yescharacteristic
147#16837276C2211yescharacteristic, complemented
148#16837276C2211yescharacteristic, complemented
149#16837276C2211yescharacteristic, complemented
150#16837276C2211yescharacteristic, complemented
151#16837276C2211yescharacteristic, complemented
152#16837274C2211yescharacteristic, complemented
153#16837273C2211yescharacteristic
154#16837273C2211yescharacteristic
155#16837273C2211yescharacteristic, complemented
156#16837273C2211yescharacteristic, complemented
157#16837273C2211yescharacteristic, complemented
158#16837264C2211yescharacteristic
159#16837264C2211yescharacteristic
160#16837264C2211yescharacteristic, complemented
161#16837264C2211yescharacteristic, complemented
162#16837263C2211yescharacteristic, complemented
163#16837261C2211yescharacteristic
164#16837259C2211yescharacteristic
165#16837257C2211yescharacteristic
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic
168#16837257C2211yescharacteristic
169C22⋊C4×Dic59C2211yescharacteristic, complemented
170C4×(C2×D59)⋊C4C2211yescharacteristic
171C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
172#16837249C2211yescharacteristic
173#16837249C2211yescharacteristic, complemented
174C2×#126×C59C2211yescharacteristic, complemented
175C2×C4×D4×C59C2211yescharacteristic
176C59×#397C2211yescharacteristic, complemented
177C59×#396C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#389C2211yescharacteristic, complemented
181C59×#389C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#387C2211yescharacteristic, complemented
185C59×#385C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C59×#381C2211yescharacteristic, complemented
188C4×C22⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C2×D4×D59—24no—
207C2×D4×D59—24no—
208C2×D4×D59—24no—
209C23×Dic59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C22×C4×D59—24no—
212C22×C4×D59—24no—
213C22×C4×D59—42no—
214C22×C4×D59—42no—
215C22×C4×D59—42no—
216C22×C4×D59—42no—
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228#14273722—24no—
229#14273715—24no—
230#14273713—24no—
231#14273712—24no—
232#14273712—24no—
233#14273712—24no—
234#14273712—42no—
235#14273712—42no—
236#14273711—42no—
237#14273710—42no—
238#14273709—24no—
239#14273705—24no—
240#14273702—24no—
241#14273702—24no—
242#14273700—24no—
243#14273697—24no—
244#14273697—24no—
245#14273697—24no—
246#14273697—24no—
247C4×D236—24no—
248C4×D236—24no—
249C4×D236—42no—
250D4×Dic59—24no—
251#14273689—24no—
252#14273689—24no—
253#14273689—42no—
254C4×C22⋊D59—24no—
255C4×C22⋊D59—24no—
256C4×C22⋊D59—42no—
257(C22⋊D59)⋊C4—24no—
258(C22⋊D59)⋊C4—24no—
259(C22⋊D59)⋊C4—42no—
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×C4⋊Dic59C2311yescharacteristic
263C2×C4⋊Dic59C2311yescharacteristic
264C2×C4⋊Dic59C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C4⋊C4×D59—24no—
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4C2311yescharacteristic
318C2×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2311yescharacteristic
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C22⋊C4×D59—24no—
323C22⋊C4×D59D418yescomplemented
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C2×C4×Dic59C2311yescharacteristic
328C2×C4×Dic59C2311yescharacteristic
329C2×C4×Dic59C2311yescharacteristic
330C2×C4×Dic59C2311yescharacteristic
331C42×D59—24no—
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
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357#126×C59—24no—
358C4×D4×C59—24no—
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C22⋊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×C42×C59C2311yescharacteristic
379C2×C42×C59C2311yescharacteristic
380C2×C42×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×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×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C23×D59—22no—
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—41no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59—41no—
402C23×D59—41no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59C2×D414yes—
406C23×D59#4114yes—
407C23×D59C2411yescharacteristic
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C23×D59C2411yescharacteristic
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C22×C4×C59—22no—
416C22×C4×C59—22no—
417C22×C4×C59—22no—
418C22×C4×C59—22no—
419C22×C4×C59—41no—
420C22×C4×C59—41no—
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
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
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—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C22×Dic59—22no—
453C22×Dic59—22no—
454C22×Dic59—22no—
455C22×Dic59—22no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469D4×D59—232no—
470C2×D236—22no—
471C2×D236—22no—
472C2×D236—22no—
473C2×D236—22no—
474C2×D236—22no—
475C2×D236—22no—
476C2×D236—22no—
477C2×D236—22no—
478C2×D236—22no—
479C2×D236—22no—
480C2×D236—22no—
481C2×D236—22no—
482C2×D236—22no—
483C2×D236—22no—
484C2×D236—41no—
485C2×D236—41no—
486C2×D236—41no—
487C2×D236—41no—
488C2×D236—41no—
489C2×D236—41no—
490C2×D236—41no—
491C2×D236—41no—
492C2×D236—41no—
493C2×D236—41no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—22no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
501C2×C4×D59—22no—
502C2×C4×D59—22no—
503C2×C4×D59—22no—
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—416no—
511C2×C4×D59—416no—
512C2×C4×D59—41no—
513C2×C4×D59—41no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59—41no—
520C2×C4×D59—41no—
521C2×C4×D59—41no—
522C2×C4×D59—41no—
523C2×C4×D59—41no—
524C2×C4×D59—41no—
525C2×C4×D59—41no—
526C2×C4×D59C2×D414yes—
527C2×C4×D59C2×D414yes—
528C2×C4×D59#4114yes—
529C2×Dic118—22no—
530C2×Dic118—41no—
531C2×Dic118—41no—
532C4⋊C4×C59—22no—
533C4⋊C4×C59—22no—
534C4⋊C4×C59—22no—
535C4⋊C4×C59—22no—
536C4⋊C4×C59—22no—
537C4⋊C4×C59—22no—
538C4⋊C4×C59—22no—
539C4⋊C4×C59—41no—
540C4⋊C4×C59—41no—
541C22⋊C4×C59—22no—
542C22⋊C4×C59—22no—
543C22⋊C4×C59—22no—
544C22⋊C4×C59—22no—
545C22⋊C4×C59—22no—
546C22⋊C4×C59—41no—
547C22⋊C4×C59—41no—
548C22⋊C4×C59—41no—
549C22⋊C4×C59—41no—
550C22⋊C4×C59C2×D414yes—
551C42×C59—22no—
552C42×C59—22no—
553C42×C59—41no—
554C22⋊Dic59—22no—
555C22⋊Dic59—41no—
556C22⋊Dic59—41no—
557C22⋊Dic59—41no—
558C22⋊Dic59—41no—
559C22⋊Dic59C2×D414yes—
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—22no—
568(C2×D59)⋊C4—22no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—22no—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—22no—
575(C2×D59)⋊C4—22no—
576(C2×D59)⋊C4—22no—
577(C2×D59)⋊C4—22no—
578(C2×D59)⋊C4—22no—
579(C2×D59)⋊C4—22no—
580(C2×D59)⋊C4—22no—
581(C2×D59)⋊C4—22no—
582(C2×D59)⋊C4—22no—
583(C2×D59)⋊C4—22no—
584(C2×D59)⋊C4—41no—
585(C2×D59)⋊C4—41no—
586(C2×D59)⋊C4—41no—
587(C2×D59)⋊C4—41no—
588(C2×D59)⋊C4—41no—
589(C2×D59)⋊C4—41no—
590(C2×D59)⋊C4—41no—
591(C2×D59)⋊C4—41no—
592(C2×D59)⋊C4—41no—
593(C2×D59)⋊C4—41no—
594(C2×D59)⋊C4—41no—
595(C2×D59)⋊C4—41no—
596(C2×D59)⋊C4C2×D414yes—
597(C2×D59)⋊C4C2×D414yes—
598C4⋊Dic59—22no—
599C4⋊Dic59—22no—
600C4⋊Dic59—22no—
601C4⋊Dic59—41no—
602C4⋊Dic59—41no—
603Dic59⋊C4—22no—
604Dic59⋊C4—22no—
605Dic59⋊C4—22no—
606Dic59⋊C4—22no—
607Dic59⋊C4—22no—
608Dic59⋊C4—22no—
609Dic59⋊C4—22no—
610Dic59⋊C4—22no—
611Dic59⋊C4—41no—
612Dic59⋊C4—41no—
613Dic59⋊C4—41no—
614Dic59⋊C4—41no—
615C4×Dic59—22no—
616C4×Dic59—22no—
617C4×Dic59—22no—
618C4×Dic59—22no—
619C4×Dic59—41no—
620C4×Dic59—41no—
621C4×Dic59—41no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59C22×D412yes—
635C23×C59C2×#4112yes—
636C23×C59C2511yescharacteristic
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
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—28no—
654C22×D59—28no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—44no—
670C22×D59—44no—
671C22×D59—44no—
672C22×D59—44no—
673C22×D59—44no—
674C22×D59—44no—
675C22×D59—44no—
676C22×D59—44no—
677C22×D59—44no—
678C22×D59—44no—
679C22×D59—44no—
680C22×D59—44no—
681C22×D59C22×D412yes—
682C22×D59C22×D412yes—
683C22×D59C2×#4112yes—
684C22×D59C2×#4112yes—
685C22×D59C2×#4112yes—
686D4×C59—28no—
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—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—44no—
723C2×C4×C59—44no—
724C2×C4×C59C22×D412yes—
725C2×C4×C59C22×D412yes—
726C2×C4×C59C2×#4112yes—
727C2×C4×C59H(5,𝔽2)12yes—
728C22⋊D59—28no—
729C22⋊D59—28no—
730C22⋊D59—44no—
731C22⋊D59—44no—
732C22⋊D59—82no—
733C22⋊D59—82no—
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—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—44no—
764C2×Dic59—44no—
765C2×Dic59C22×D412yes—
766C2×Dic59C22×D412yes—
767C2×Dic59C2×#4112yes—
768C2×Dic59H(5,𝔽2)12yes—
769D236—28no—
770D236—44no—
771D236—44no—
772D236—44no—
773D236—44no—
774D236—82no—
775D236—82no—
776D236—82no—
777C4×D59—28no—
778C4×D59—28no—
779C4×D59—44no—
780C4×D59—44no—
781C4×D59—44no—
782C4×D59—44no—
783C4×D59—44no—
784C4×D59—44no—
785C4×D59—44no—
786C4×D59—82no—
787C4×D59—82no—
788Dic118—82no—
789#34986—591nomaximal, Sylow
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—22no—
795C22×C59—22no—
796C22×C59—41no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59—41no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59C23×D411yescharacteristic
805C22×C59C22×#4111yescharacteristic
806C22×C59C22×#4111yescharacteristic
807C22×C59C2×H(5,𝔽2)11yescharacteristic
808C22×C59C2×H(5,𝔽2)11yescharacteristic
809C22×C59#58511yescharacteristic
810C22×C59#58511yescharacteristic
811C2×D59—22no—
812C2×D59—22no—
813C2×D59—22no—
814C2×D59—22no—
815C2×D59—22no—
816C2×D59—22no—
817C2×D59—22no—
818C2×D59—22no—
819C2×D59—22no—
820C2×D59—22no—
821C2×D59—22no—
822C2×D59—22no—
823C2×D59—416no—
824C2×D59—416no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59#52514yes—
848C4×C59—22no—
849C4×C59—22no—
850C4×C59—22no—
851C4×C59—22no—
852C4×C59—41no—
853C4×C59—41no—
854C4×C59—41no—
855C4×C59—41no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861Dic59—22no—
862Dic59—22no—
863Dic59—22no—
864Dic59—22no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868Dic59—41no—
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872C2×#538—591no—
873C22×C4×D4—591no—
874#2855—591no—
875#2854—591no—
876#2849—591no—
877#2849—591no—
878#2626—591no—
879#2617—591no—
880#2613—591no—
881#2613—591no—
882#2466—591no—
883#2466—591no—
884#2466—591no—
885#2466D5911yescharacteristic, complemented
886#2459—591no—
887#2459—591no—
888#2459—591no—
889#2459—591no—
890#2456—591no—
891#2456—591no—
892#2456—591no—
893#2456—591no—
894#2455—591no—
895#2455—591no—
896#2455—591no—
897#2455—591no—
898#2322—591no—
899#2322—591no—
900#2312—591no—
901C4×#120—591no—
902C4×#120—591no—
903C2×C59—42no—
904C2×C59—42no—
905C2×C59C2×#52511yescharacteristic
906C2×C59#345911yescharacteristic
907C2×C59#345911yescharacteristic
908C2×C59#348411yescharacteristic
909C2×C59#348511yescharacteristic
910C2×C59#350611yescharacteristic
911C2×C59#350611yescharacteristic
912D59—24no—
913D59—42no—
914D59—42no—
915D59—81no—
916D59—81no—
917C23×D4—591no—
918C24×C4—591no—
919C24×C4—591no—
920#538—1188no—
921C2×#126—591no—
922C2×#126C2×D5911yescharacteristic, complemented
923C2×#124—591no—
924C2×#124—591no—
925C2×#123—591no—
926C2×#123—591no—
927C2×#123—591no—
928C2×#123—591no—
929C2×#123—591no—
930C2×#123—591no—
931C2×#123—591no—
932C2×#123—591no—
933C2×C22⋊Q8—591no—
934C2×#121—591no—
935C2×#121—591no—
936C2×#121—591no—
937C2×#120—591no—
938C2×#120—591no—
939C2×#120—591no—
940C2×#120—591no—
941C2×C4×D4—591no—
942C2×C4×D4—591no—
943C2×C4×D4—591no—
944C2×C4×D4—591no—
945C2×C4×D4—591no—
946C2×C4×D4—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—591no—
950C2×C4×D4—591no—
951C2×C4×D4—591no—
952C2×C4×D4—591no—
953C2×C4×D4—591no—
954C2×C4×D4—1188no—
955C2×C4×D4C2×D5911yescharacteristic
956C22×C4⋊C4—591no—
957C22×C22⋊C4—591no—
958C22×C22⋊C4—591no—
959C22×C42—591no—
960#399—591no—
961#399—591no—
962#397—591no—
963#397C2×D5911yescharacteristic, complemented
964#396—591no—
965#396—591no—
966#396—591no—
967#396C2×D5911yescharacteristic, complemented
968#394—591no—
969#394—591no—
970#394—591no—
971#394—591no—
972#394—591no—
973#394—591no—
974#394—591no—
975#394—591no—
976#394—591no—
977#394—591no—
978#394C2×D5911yescharacteristic
979#394C2×D5911yescharacteristic
980#393—591no—
981#393—591no—
982#392—591no—
983#392—591no—
984#392—591no—
985#392—591no—
986#392—591no—
987#392—591no—
988#392—591no—
989#392—591no—
990#392—591no—
991#392—591no—
992#391—591no—
993#391—591no—
994#390—591no—
995#390—591no—
996#389—591no—
997#389—591no—
998#389—591no—
999#389—591no—
1000#389—591no—
1001#389—591no—
1002#389C2×D5911yescharacteristic, complemented
1003#389C2×D5911yescharacteristic, complemented
1004#388—591no—
1005#388—591no—
1006#388—591no—
1007#388—591no—
1008#388—591no—
1009#388—591no—
1010#388—591no—
1011#388—591no—
1012#388—591no—
1013#388—591no—
1014#388—591no—
1015#388—591no—
1016#388—591no—
1017#388—591no—
1018#388—591no—
1019#388C2×D5911yescharacteristic, complemented
1020#387—591no—
1021#387—591no—
1022#387—591no—
1023#387—591no—
1024#387—591no—
1025#387—591no—
1026#387C2×D5911yescharacteristic, complemented
1027#387C2×D5911yescharacteristic, complemented
1028#386—591no—
1029#386—591no—
1030#386—591no—
1031#386—591no—
1032#386—591no—
1033#386—591no—
1034#386—591no—
1035#386—591no—
1036#386—591no—
1037#386—591no—
1038#386—591no—
1039#386—591no—
1040#385—591no—
1041#385—591no—
1042#385—591no—
1043#385—591no—
1044#385—591no—
1045#385—591no—
1046#385—591no—
1047#385—591no—
1048#385—591no—
1049#385—591no—
1050#385—591no—
1051#385—591no—
1052#385—591no—
1053#385—591no—
1054#385C2×D5911yescharacteristic, complemented
1055#385C2×D5911yescharacteristic, complemented
1056#381—591no—
1057#381—591no—
1058#381—591no—
1059#381—591no—
1060#381—591no—
1061#381C2×D5911yescharacteristic, complemented
1062#380—591no—
1063#380—591no—
1064#379—591no—
1065#379—591no—
1066#379—591no—
1067#379—591no—
1068C4×C22⋊C4—591no—
1069C4×C22⋊C4—591no—
1070C4×C22⋊C4—591no—
1071C4×C22⋊C4—591no—
1072C4×C22⋊C4—591no—
1073C4×C22⋊C4C2×D5911yescharacteristic, complemented
1074C59#3498611yescharacteristic, complemented, Sylow
1075C25—591no—
1076C25—591no—
1077C22×Q8—591no—
1078C22×D4—591no—
1079C22×D4—591no—
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—591no—
1084C22×D4—591no—
1085C22×D4—591no—
1086C22×D4—591no—
1087C22×D4—591no—
1088C22×D4—591no—
1089C22×D4—591no—
1090C22×D4—591no—
1091C22×D4—591no—
1092C22×D4—1184no—
1093C22×D4—1184no—
1094C22×D4—1184no—
1095C22×D4C22×D5911yescharacteristic
1096C23×C4—591no—
1097C23×C4—591no—
1098C23×C4—591no—
1099C23×C4—591no—
1100C23×C4—591no—
1101C23×C4—591no—
1102C23×C4—591no—
1103C23×C4—591no—
1104C23×C4—591no—
1105C23×C4—591no—
1106C23×C4—591no—
1107C23×C4—591no—
1108C23×C4—591no—
1109C23×C4—1184no—
1110C23×C4—1184no—
1111C23×C4—2362no—
1112C23×C4—2362no—
1113C23×C4—2362no—
1114C23×C4—2362no—
1115C23×C4C22×D5911yescharacteristic
1116C23×C4C22×D5911yescharacteristic
1117#126—24no—
1118#126—1184no—
1119#124—1184no—
1120#124—1184no—
1121#123—1184no—
1122#123—1184no—
1123#123—1184no—
1124#123—1184no—
1125#123—2362no—
1126#123—2362no—
1127#123—2362no—
1128#123—2362no—
1129C22⋊Q8—1184no—
1130#121—1184no—
1131#121—1184no—
1132#121—1184no—
1133#120—1184no—
1134#120—1184no—
1135#120—1184no—
1136#120—1184no—
1137C4×D4—24no—
1138C4×D4—1184no—
1139C4×D4—1184no—
1140C4×D4—1184no—
1141C4×D4—1184no—
1142C4×D4—1184no—
1143C4×D4—1184no—
1144C4×D4—1184no—
1145C4×D4—1184no—
1146C4×D4—1184no—
1147C4×D4—2362no—
1148C4×D4—2362no—
1149C4×D4—2362no—
1150C4×D4—2362no—
1151C2×C4⋊C4—591no—
1152C2×C4⋊C4—591no—
1153C2×C4⋊C4—591no—
1154C2×C4⋊C4—591no—
1155C2×C4⋊C4—591no—
1156C2×C4⋊C4—591no—
1157C2×C4⋊C4—591no—
1158C2×C4⋊C4—591no—
1159C2×C4⋊C4—591no—
1160C2×C4⋊C4—591no—
1161C2×C4⋊C4—591no—
1162C2×C4⋊C4—591no—
1163C2×C4⋊C4—591no—
1164C2×C4⋊C4—591no—
1165C2×C4⋊C4—591no—
1166C2×C4⋊C4—591no—
1167C2×C4⋊C4—591no—
1168C2×C4⋊C4—1184no—
1169C2×C4⋊C4C22×D5911yescharacteristic
1170C2×C4⋊C4C22×D5911yescharacteristic
1171C2×C4⋊C4C22×D5911yescharacteristic
1172C2×C4⋊C4C22×D5911yescharacteristic
1173C2×C4⋊C4C22×D5911yescharacteristic
1174C2×C4⋊C4C22×D5911yescharacteristic
1175C2×C4⋊C4C22×D5911yescharacteristic
1176C2×C4⋊C4C22×D5911yescharacteristic
1177C2×C4⋊C4C22×D5911yescharacteristic
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—598no—
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—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—591no—
1204C2×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
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—1184no—
1224C2×C22⋊C4C22×D5911yescharacteristic
1225C2×C22⋊C4C22×D5911yescharacteristic
1226C2×C22⋊C4C22×D5911yescharacteristic
1227C2×C22⋊C4C22×D5911yescharacteristic
1228C2×C22⋊C4C22×D5911yescharacteristic
1229C2×C22⋊C4C22×D5911yescharacteristic
1230C2×C22⋊C4C22×D5911yescharacteristic
1231C2×C22⋊C4C22×D5911yescharacteristic
1232C2×C22⋊C4C22×D5911yescharacteristic
1233C2×C22⋊C4C22×D5911yescharacteristic
1234C2×C42—591no—
1235C2×C42—591no—
1236C2×C42—591no—
1237C2×C42—591no—
1238C2×C42—591no—
1239C2×C42—591no—
1240C2×C42—591no—
1241C2×C42—1184no—
1242C2×C42C22×D5911yescharacteristic
1243C2×C42C22×D5911yescharacteristic
1244C2×C42C22×D5911yescharacteristic
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253#95—591no—
1254#95—591no—
1255#95—591no—
1256#95—591no—
1257#95—591no—
1258#95—591no—
1259#95—591no—
1260#95—591no—
1261#95—591no—
1262#95—591no—
1263#95—591no—
1264#95—591no—
1265#95—591no—
1266#95—591no—
1267#95C22×D5911yescharacteristic
1268#95C22×D5911yescharacteristic
1269#95C22×D5911yescharacteristic
1270#95C22×D5911yescharacteristic
1271#95C22×D5911yescharacteristic
1272#95C22×D5911yescharacteristic
1273#95C22×D5911yescharacteristic
1274#95C22×D5911yescharacteristic
1275#95C22×D5911yescharacteristic
1276#95C22×D5911yescharacteristic
1277C24—591no—
1278C24—591no—
1279C24—591no—
1280C24—594no—
1281C24—594no—
1282C24—591no—
1283C24—591no—
1284C24—1182no—
1285C24—1182no—
1286C24—1182no—
1287C24—1182no—
1288C24—2361no—
1289C24—2361no—
1290C24—2361no—
1291C24—2361no—
1292C24—2361no—
1293C24—2361no—
1294C24—2361no—
1295C24—2361no—
1296C24C23×D5911yescharacteristic
1297C24C23×D5911yescharacteristic
1298C2×Q8—1182no—
1299C2×Q8—2361no—
1300C2×Q8—2361no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—1182no—
1305C2×D4—1182no—
1306C2×D4—1182no—
1307C2×D4—1182no—
1308C2×D4—1182no—
1309C2×D4—1182no—
1310C2×D4—1182no—
1311C2×D4—1182no—
1312C2×D4—1182no—
1313C2×D4—1182no—
1314C2×D4—1182no—
1315C2×D4—1182no—
1316C2×D4—1182no—
1317C2×D4—1182no—
1318C2×D4—11832no—
1319C2×D4—1182no—
1320C2×D4—1182no—
1321C2×D4—1182no—
1322C2×D4—1182no—
1323C2×D4—1182no—
1324C2×D4—1182no—
1325C2×D4—1182no—
1326C2×D4—1182no—
1327C2×D4—1182no—
1328C2×D4—1182no—
1329C2×D4—2361no—
1330C2×D4—2361no—
1331C2×D4—2361no—
1332C2×D4—2361no—
1333C2×D4—2361no—
1334C2×D4—2361no—
1335C2×D4—2361no—
1336C2×D4—2361no—
1337C2×D4—2361no—
1338C2×D4—2361no—
1339C2×D4—2361no—
1340C2×D4—2361no—
1341C2×D4—2361no—
1342C2×D4—2361no—
1343C2×D4—2361no—
1344C2×D4—2361no—
1345C2×D4—2361no—
1346C2×D4—2361no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—591no—
1354C22×C4—591no—
1355C22×C4—591no—
1356C22×C4—591no—
1357C22×C4—594no—
1358C22×C4—594no—
1359C22×C4—594no—
1360C22×C4—591no—
1361C22×C4—591no—
1362C22×C4—591no—
1363C22×C4—591no—
1364C22×C4—591no—
1365C22×C4—591no—
1366C22×C4—591no—
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—2361no—
1388C22×C4—2361no—
1389C22×C4—2361no—
1390C22×C4—2361no—
1391C22×C4—2361no—
1392C22×C4—2361no—
1393C22×C4—2361no—
1394C22×C4—2361no—
1395C22×C4—2361no—
1396C22×C4—2361no—
1397C22×C4—2361no—
1398C22×C4—2361no—
1399C22×C4—2361no—
1400C22×C4—2361no—
1401C22×C4—23616no—
1402C22×C4—23616no—
1403C22×C4—2361no—
1404C22×C4—2361no—
1405C22×C4C23×D5911yescharacteristic
1406C22×C4C23×D5911yescharacteristic
1407C22×C4C23×D5911yescharacteristic
1408C22×C4C23×D5911yescharacteristic
1409C22×C4C23×D5911yescharacteristic
1410C22×C4C23×D5911yescharacteristic
1411C22×C4C23×D5911yescharacteristic
1412C22×C4C23×D5911yescharacteristic
1413C22×C4C23×D5911yescharacteristic
1414C22×C4C23×D5911yescharacteristic
1415C22×C4C23×D5911yescharacteristic
1416C22×C4C23×D5911yescharacteristic
1417C22×C4C23×D5911yescharacteristic
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—1182no—
1428C4⋊C4—1182no—
1429C4⋊C4—1182no—
1430C4⋊C4—1182no—
1431C4⋊C4—1182no—
1432C4⋊C4—1182no—
1433C4⋊C4—1182no—
1434C4⋊C4—1182no—
1435C4⋊C4—1182no—
1436C4⋊C4—1182no—
1437C4⋊C4—1182no—
1438C4⋊C4—2361no—
1439C4⋊C4—2361no—
1440C4⋊C4—2361no—
1441C4⋊C4—2361no—
1442C4⋊C4—2361no—
1443C4⋊C4—2361no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—594no—
1454C22⋊C4—594no—
1455C22⋊C4—594no—
1456C22⋊C4—1182no—
1457C22⋊C4—1182no—
1458C22⋊C4—1182no—
1459C22⋊C4—1182no—
1460C22⋊C4—1182no—
1461C22⋊C4—1182no—
1462C22⋊C4—1182no—
1463C22⋊C4—1182no—
1464C22⋊C4—1182no—
1465C22⋊C4—1182no—
1466C22⋊C4—1182no—
1467C22⋊C4—1182no—
1468C22⋊C4—1182no—
1469C22⋊C4—1182no—
1470C22⋊C4—1182no—
1471C22⋊C4—1182no—
1472C22⋊C4—1182no—
1473C22⋊C4—1182no—
1474C22⋊C4—1182no—
1475C22⋊C4—1182no—
1476C22⋊C4—1182no—
1477C22⋊C4—1182no—
1478C22⋊C4—1182no—
1479C22⋊C4—1182no—
1480C22⋊C4—1182no—
1481C22⋊C4—2361no—
1482C22⋊C4—2361no—
1483C22⋊C4—2361no—
1484C22⋊C4—2361no—
1485C22⋊C4—2361no—
1486C22⋊C4—2361no—
1487C22⋊C4—2361no—
1488C22⋊C4—2361no—
1489C22⋊C4—2361no—
1490C22⋊C4—2361no—
1491C22⋊C4—2361no—
1492C22⋊C4—2361no—
1493C22⋊C4—2361no—
1494C22⋊C4—2361no—
1495C22⋊C4—2361no—
1496C22⋊C4—2361no—
1497C22⋊C4D4×D5914yes—
1498C42—22no—
1499C42—22no—
1500C42—41no—
1501C42—1182no—
1502C42—1182no—
1503C42—1182no—
1504C42—1182no—
1505C42—2361no—
1506C42—2361no—
1507C42—2361no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—592no—
1521C23—592no—
1522C23—592no—
1523C23—592no—
1524C23—592no—
1525C23—1188no—
1526C23—1188no—
1527C23—1181no—
1528C23—1181no—
1529C23—1181no—
1530C23—1181no—
1531C23—1181no—
1532C23—1181no—
1533C23—1181no—
1534C23—1181no—
1535C23—1181no—
1536C23—1181no—
1537C23—1181no—
1538C23—1181no—
1539C23—1181no—
1540C23—1181no—
1541C23—1181no—
1542C23—1181no—
1543C23—1181no—
1544C23—1181no—
1545C23—1181no—
1546C23—1181no—
1547C23—1181no—
1548C23—1181no—
1549C23—1181no—
1550C23—1181no—
1551C23—1181no—
1552C23—1181no—
1553C23—1181no—
1554C23—1181no—
1555C23—1181no—
1556C23—1181no—
1557C23—2364no—
1558C23—2364no—
1559C23—2364no—
1560C23—2364no—
1561C23—2364no—
1562C23—2364no—
1563C23—2364no—
1564C23—2364no—
1565C23—2364no—
1566C23—2364no—
1567C23—2364no—
1568C23—2364no—
1569C23C2×D4×D5912yes—
1570C23#41×D5912yes—
1571C23C24×D5911yescharacteristic
1572Q8—4722no—
1573D4—28no—
1574D4—1188no—
1575D4—1188no—
1576D4—1188no—
1577D4—4722no—
1578D4—4722no—
1579D4—4722no—
1580D4—4722no—
1581D4—4722no—
1582D4—2364no—
1583D4—2364no—
1584D4—2364no—
1585D4—2364no—
1586D4—2364no—
1587D4—2364no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—592no—
1626C2×C4—592no—
1627C2×C4—592no—
1628C2×C4—592no—
1629C2×C4—1188no—
1630C2×C4—1188no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—1181no—
1653C2×C4—1181no—
1654C2×C4—1181no—
1655C2×C4—1181no—
1656C2×C4—1181no—
1657C2×C4—1181no—
1658C2×C4—1181no—
1659C2×C4—1181no—
1660C2×C4—4722no—
1661C2×C4—4722no—
1662C2×C4—2364no—
1663C2×C4—2364no—
1664C2×C4—2364no—
1665C2×C4—2364no—
1666C2×C4—2364no—
1667C2×C4—2364no—
1668C2×C4—2364no—
1669C2×C4—2364no—
1670C2×C4—2364no—
1671C2×C4C2×D4×D5912yes—
1672C2×C4C2×D4×D5912yes—
1673C2×C4#41×D5912yes—
1674C2×C4#1427377312yes—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—594no—
1690C22—1182no—
1691C22—1182no—
1692C22—1182no—
1693C22—1182no—
1694C22—1182no—
1695C22—1182no—
1696C22—1182no—
1697C22—1182no—
1698C22—1182no—
1699C22—1182no—
1700C22—1182no—
1701C22—1182no—
1702C22—23616no—
1703C22—23616no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22—2361no—
1708C22—2361no—
1709C22—2361no—
1710C22—2361no—
1711C22—2361no—
1712C22—2361no—
1713C22—2361no—
1714C22—2361no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22—2361no—
1719C22—2361no—
1720C22—2361no—
1721C22—2361no—
1722C22—2361no—
1723C22—2361no—
1724C22—2361no—
1725C22—2361no—
1726C22C22×D4×D5911yescharacteristic
1727C22C2×#41×D5911yescharacteristic
1728C22C2×#41×D5911yescharacteristic
1729C22H(5,𝔽2)×D5911yescharacteristic
1730C22C2×#1427377311yescharacteristic
1731C22#1683823811yescharacteristic
1732C22#1683823911yescharacteristic
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—1182no—
1747C4—1182no—
1748C4—1182no—
1749C4—1182no—
1750C4—2361no—
1751C4—2361no—
1752C4—2361no—
1753C4—2361no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C2—42no—
1758C2—42no—
1759C2—1184no—
1760C2—4721no—
1761C2—4721no—
1762C2—2362no—
1763C2—2362no—
1764C2#525×D5911yescharacteristic
1765C2#2143750411yescharacteristic
1766C2#2143750611yescharacteristic
1767C2#2143772611yescharacteristic
1768C2#2143773511yescharacteristic
1769C2#2143794211yescharacteristic
1770C2#2143794911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2466C2
hypercenter#2466D59
hypocenterC59#34986
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2466

Complements

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

NH ≅ G/Ntype
1. C2×#16837991C2semidirect
2. C2×C4×D4×D59C2semidirect
3. #21432431C2semidirect
4. #21432429C2semidirect
5. #21432391C2semidirect
6. #21432389C2semidirect
7. #21429906C2semidirect
8. #21429831C2semidirect
9. #21429809C2semidirect
10. #21429809C2semidirect
11. #21428137C2semidirect
12. #21428133C2semidirect
13. #21428128C2semidirect
14. #21428037C2semidirect
15. #21428033C2semidirect
16. #21428030C2semidirect
17. #21428026C2semidirect
18. #21427991C2semidirect
19. #21427988C2semidirect
20. #21427986C2semidirect
21. #21427985C2semidirect
22. #21427980C2semidirect
23. #21427978C2semidirect
24. #21427977C2semidirect
25. #21427974C2semidirect
26. #21426769C2semidirect
27. #21426760C2semidirect
28. #21426690C2semidirect
29. C4×#14273697C2semidirect
30. #21426597C2semidirect
31. C59×#2466C2semidirect
36. C2×#14273722C22semidirect
37. C2×#14273715C22semidirect
38. C2×#14273713C22semidirect
41. C2×#14273712C22semidirect
42. C2×#14273712C22semidirect
43. C2×#14273712C22semidirect
44. C2×#14273711C22semidirect
45. C2×#14273710C22semidirect
46. C2×#14273709C22semidirect
49. C2×#14273702C22semidirect
50. C2×#14273700C22semidirect
57. C2×C4×D236C22semidirect
61. C2×#14273689C22semidirect
64. C2×C4×C22⋊D59C22semidirect
67. C2×(C22⋊D59)⋊C4C22semidirect
73. #16837338C22semidirect
74. #16837337C22semidirect
75. #16837328C22semidirect
76. #16837325C22semidirect
77. #16837324C22semidirect
78. #16837324C22semidirect
79. #16837320C22semidirect
80. #16837320C22semidirect
87. #16837317C22semidirect
88. #16837317C22semidirect
89. #16837315C22semidirect
90. #16837314C22semidirect
93. #16837312C22semidirect
98. #16837311C22semidirect
101. #16837306C22semidirect
102. #16837306C22semidirect
103. #16837304C22semidirect
104. #16837303C22semidirect
105. #16837301C22semidirect
106. #16837299C22semidirect
107. #16837299C22semidirect
108. #16837298C22semidirect
109. #16837297C22semidirect
110. #16837297C22semidirect
111. #16837296C22semidirect
112. #16837295C22semidirect
113. #16837294C22semidirect
114. #16837294C22semidirect
115. #16837293C22semidirect
116. #16837293C22semidirect
117. #16837292C22semidirect
118. #16837292C22semidirect
119. #16837292C22semidirect
120. #16837292C22semidirect
121. #16837291C22semidirect
122. #16837291C22semidirect
123. #16837291C22semidirect
124. #16837291C22semidirect
125. #16837290C22semidirect
126. #16837288C22semidirect
127. #16837287C22semidirect
128. #16837286C22semidirect
129. #16837286C22semidirect
130. #16837284C22semidirect
131. #16837283C22semidirect
132. #16837281C22semidirect
133. #16837281C22semidirect
138. #16837280C22semidirect
139. #16837280C22semidirect
140. #16837280C22semidirect
141. #16837280C22semidirect
142. #16837279C22semidirect
143. #16837279C22semidirect
144. #16837277C22semidirect
147. #16837276C22semidirect
148. #16837276C22semidirect
149. #16837276C22semidirect
150. #16837276C22semidirect
151. #16837276C22semidirect
152. #16837274C22semidirect
155. #16837273C22semidirect
156. #16837273C22semidirect
157. #16837273C22semidirect
160. #16837264C22semidirect
161. #16837264C22semidirect
162. #16837263C22semidirect
169. C22⋊C4×Dic59C22semidirect
171. C4×(C2×D59)⋊C4C22semidirect
173. #16837249C22semidirect
174. C2×#126×C59C22semidirect
176. C59×#397C22semidirect
177. C59×#396C22semidirect
180. C59×#389C22semidirect
181. C59×#389C22semidirect
182. C59×#388C22semidirect
183. C59×#387C22semidirect
184. C59×#387C22semidirect
185. C59×#385C22semidirect
186. C59×#385C22semidirect
187. C59×#381C22semidirect
188. C4×C22⋊C4×C59C22semidirect
323. C22⋊C4×D59D4semidirect
885. #2466D59semidirect
922. C2×#126C2×D59semidirect
963. #397C2×D59semidirect
967. #396C2×D59semidirect
1002. #389C2×D59semidirect
1003. #389C2×D59semidirect
1019. #388C2×D59semidirect
1026. #387C2×D59semidirect
1027. #387C2×D59semidirect
1054. #385C2×D59semidirect
1055. #385C2×D59semidirect
1061. #381C2×D59semidirect
1073. C4×C22⋊C4C2×D59semidirect
1074. C59#34986semidirect

Maximal subgroups

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

subgroupindex
C2×#168379912
C2×C4×D4×D592
#214324312
#214324292
#214323912
#214323892
#214299062
#214298312
#214298092
#214281372
#214281332
#214281282
#214280372
#214280332
#214280302
#214280262
#214279912
#214279882
#214279862
#214279852
#214279802
#214279782
#214279772
#214279742
#214267692
#214267602
#214266902
C4×#142736972
#214265972
C59×#24662
#3498659