Finite Group Databasebeta

← #28796214

Subgroups — #28796214

Order 15104.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838003C211yesmaximal, characteristic, complemented
2C2×#16837991C211yesmaximal, characteristic, complemented
3#21432440C211yesmaximal, characteristic, complemented
4#21432423C211yesmaximal, characteristic, complemented
5#21430996C211yesmaximal, characteristic, complemented
6#21430897C211yesmaximal, characteristic, complemented
7#21430621C211yesmaximal, characteristic, complemented
8#21430449C211yesmaximal, characteristic, complemented
9#21430438C211yesmaximal, characteristic, complemented
10#21430422C211yesmaximal, characteristic, complemented
11#21430401C211yesmaximal, characteristic, complemented
12#21430387C211yesmaximal, characteristic, complemented
13#21430369C211yesmaximal, characteristic, complemented
14#21430367C211yesmaximal, characteristic, complemented
15#21430351C211yesmaximal, characteristic, complemented
16#21430339C211yesmaximal, characteristic, complemented
17#21430336C211yesmaximal, characteristic, complemented
18#21430315C211yesmaximal, characteristic, complemented
19#21430314C211yesmaximal, characteristic, complemented
20#21430306C211yesmaximal, characteristic, complemented
21#21430228C211yesmaximal, characteristic, complemented
22#21430226C211yesmaximal, characteristic, complemented
23#21429777C211yesmaximal, characteristic, complemented
24#21429715C211yesmaximal, characteristic, complemented
25#21429695C211yesmaximal, characteristic, complemented
26#21429035C211yesmaximal, characteristic, complemented
27#21429025C211yesmaximal, characteristic, complemented
28#21427513C211yesmaximal, characteristic, complemented
29#21427478C211yesmaximal, characteristic, complemented
30#21426540C211yesmaximal, characteristic, complemented
31C59×#2603C211yesmaximal, characteristic, complemented
32#16838003—28no—
33#16837991—28no—
34C2×#14273723C2211yescharacteristic
35C2×#14273723C2211yescharacteristic
36C2×#14273722C2211yescharacteristic
37C2×#14273718C2211yescharacteristic, complemented
38C2×#14273715C2211yescharacteristic
39C2×#14273713C2211yescharacteristic
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic
42C2×#14273710C2211yescharacteristic
43C2×#14273710C2211yescharacteristic, complemented
44C2×#14273709C2211yescharacteristic
45C2×#14273709C2211yescharacteristic
46C2×#14273709C2211yescharacteristic
47C2×#14273709C2211yescharacteristic, complemented
48C2×#14273706C2211yescharacteristic, complemented
49C2×#14273706C2211yescharacteristic, complemented
50C2×#14273705C2211yescharacteristic
51C2×#14273702C2211yescharacteristic
52C2×#14273702C2211yescharacteristic
53C2×#14273702C2211yescharacteristic
54C2×#14273702C2211yescharacteristic, complemented
55C2×#14273701C2211yescharacteristic
56C2×#14273701C2211yescharacteristic
57C2×#14273701C2211yescharacteristic
58C2×#14273701C2211yescharacteristic, complemented
59C2×#14273700C2211yescharacteristic
60C2×#14273700C2211yescharacteristic
61C2×#14273700C2211yescharacteristic
62C2×#14273700C2211yescharacteristic
63C2×#14273700C2211yescharacteristic, complemented
64C2×#14273700C2211yescharacteristic, complemented
65C2×#14273700C2211yescharacteristic, complemented
66C2×#14273698C2211yescharacteristic
67C2×#14273698C2211yescharacteristic, complemented
68C2×#14273697C2211yescharacteristic
69C2×#14273697C2211yescharacteristic
70C2×#14273697C2211yescharacteristic
71C2×#14273695C2211yescharacteristic
72C2×#14273695C2211yescharacteristic
73C2×C4×D236C2211yescharacteristic
74C2×#14273689C2211yescharacteristic
75C2×#14273684C2211yescharacteristic
76C2×#14273684C2211yescharacteristic, complemented
77C2×C22⋊C4×D59C2211yescharacteristic
78C2×C42×D59C2211yescharacteristic, complemented
79#16837338C2211yescharacteristic
80#16837337C2211yescharacteristic
81#16837337C2211yescharacteristic
82#16837337C2211yescharacteristic, complemented
83#16837336C2211yescharacteristic, complemented
84#16837335C2211yescharacteristic, complemented
85#16837335C2211yescharacteristic, complemented
86#16837331C2211yescharacteristic
87#16837331C2211yescharacteristic
88#16837330C2211yescharacteristic, complemented
89#16837325C2211yescharacteristic
90#16837325C2211yescharacteristic
91#16837324C2211yescharacteristic
92#16837324C2211yescharacteristic, complemented
93#16837323C2211yescharacteristic, complemented
94#16837320C2211yescharacteristic
95#16837320C2211yescharacteristic
96#16837320C2211yescharacteristic
97#16837320C2211yescharacteristic, complemented
98#16837319C2211yescharacteristic, complemented
99#16837318C2211yescharacteristic
100#16837318C2211yescharacteristic
101#16837318C2211yescharacteristic
102#16837318C2211yescharacteristic, complemented
103#16837317C2211yescharacteristic
104#16837317C2211yescharacteristic
105#16837317C2211yescharacteristic
106#16837317C2211yescharacteristic, complemented
107#16837316C2211yescharacteristic
108#16837315C2211yescharacteristic, complemented
109#16837312C2211yescharacteristic
110#16837312C2211yescharacteristic
111#16837312C2211yescharacteristic
112#16837311C2211yescharacteristic
113#16837311C2211yescharacteristic
114#16837311C2211yescharacteristic
115#16837311C2211yescharacteristic
116#16837311C2211yescharacteristic
117#16837311C2211yescharacteristic, complemented
118#16837310C2211yescharacteristic
119#16837310C2211yescharacteristic
120#16837310C2211yescharacteristic
121#16837310C2211yescharacteristic
122#16837310C2211yescharacteristic, complemented
123#16837304C2211yescharacteristic
124#16837304C2211yescharacteristic, complemented
125#16837302C2211yescharacteristic
126#16837302C2211yescharacteristic
127#16837302C2211yescharacteristic
128#16837302C2211yescharacteristic
129#16837302C2211yescharacteristic
130#16837302C2211yescharacteristic, complemented
131#16837302C2211yescharacteristic, complemented
132#16837302C2211yescharacteristic, complemented
133#16837302C2211yescharacteristic, complemented
134#16837299C2211yescharacteristic, complemented
135#16837299C2211yescharacteristic, complemented
136#16837297C2211yescharacteristic, complemented
137#16837296C2211yescharacteristic
138#16837296C2211yescharacteristic, complemented
139#16837294C2211yescharacteristic
140#16837294C2211yescharacteristic
141#16837294C2211yescharacteristic
142#16837294C2211yescharacteristic
143#16837294C2211yescharacteristic, complemented
144#16837293C2211yescharacteristic
145#16837293C2211yescharacteristic, complemented
146#16837292C2211yescharacteristic, complemented
147#16837290C2211yescharacteristic
148#16837290C2211yescharacteristic, complemented
149#16837289C2211yescharacteristic, complemented
150#16837287C2211yescharacteristic, complemented
151#16837287C2211yescharacteristic, complemented
152#16837283C2211yescharacteristic, complemented
153#16837280C2211yescharacteristic
154#16837280C2211yescharacteristic
155#16837280C2211yescharacteristic
156#16837280C2211yescharacteristic
157#16837280C2211yescharacteristic, complemented
158#16837278C2211yescharacteristic
159#16837278C2211yescharacteristic
160#16837278C2211yescharacteristic, complemented
161#16837278C2211yescharacteristic, complemented
162#16837276C2211yescharacteristic, complemented
163#16837276C2211yescharacteristic, complemented
164#16837276C2211yescharacteristic, complemented
165#16837273C2211yescharacteristic
166#16837273C2211yescharacteristic, complemented
167#16837271C2211yescharacteristic, complemented
168#16837261C2211yescharacteristic, complemented
169#16837261C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic
171C4×C4⋊Dic59C2211yescharacteristic, complemented
172C4×(C2×D59)⋊C4C2211yescharacteristic
173C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
174C2×#126×C59C2211yescharacteristic
175C2×C4×D4×C59C2211yescharacteristic, complemented
176C59×#398C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic
178C59×#394C2211yescharacteristic, complemented
179C59×#392C2211yescharacteristic
180C59×#390C2211yescharacteristic
181C59×#390C2211yescharacteristic
182C59×#388C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#385C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C59×#376C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
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
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C22×C22⋊D59C2311yescharacteristic
212C22×C22⋊D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220#14273723—24no—
221#14273723—42no—
222#14273722—24no—
223#14273718—24no—
224#14273715—24no—
225#14273713—24no—
226#14273712—24no—
227#14273712—42no—
228#14273710—24no—
229#14273710—24no—
230#14273709—24no—
231#14273709—24no—
232#14273709—24no—
233#14273709—42no—
234#14273706—42no—
235#14273706—42no—
236#14273705—24no—
237#14273702—24no—
238#14273702—24no—
239#14273702—24no—
240#14273702—42no—
241#14273701—24no—
242#14273701—24no—
243#14273701—42no—
244#14273701—42no—
245#14273700—24no—
246#14273700—24no—
247#14273700—24no—
248#14273700—42no—
249#14273700—42no—
250#14273700—42no—
251#14273700—42no—
252#14273698—24no—
253#14273698—42no—
254#14273697—24no—
255#14273697—24no—
256#14273697—42no—
257#14273695—42no—
258#14273695—42no—
259C4×D236D418yescomplemented
260#14273689—24no—
261#14273684—24no—
262#14273684—42no—
263C2×C4⋊Dic59C2311yescharacteristic
264C2×C4⋊Dic59C2311yescharacteristic
265C2×C4⋊Dic59C2311yescharacteristic
266C2×C4⋊Dic59C2311yescharacteristic
267C2×C4⋊Dic59C2311yescharacteristic
268C2×C4⋊Dic59C2311yescharacteristic
269C2×C4⋊Dic59C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C2×Dic59⋊C4C2311yescharacteristic
281C2×Dic59⋊C4C2311yescharacteristic
282C2×Dic59⋊C4C2311yescharacteristic
283C2×Dic59⋊C4C2311yescharacteristic
284C2×Dic59⋊C4C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
295C2×(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
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C2311yescharacteristic
325C2×(C2×D59)⋊C4C2311yescharacteristic
326C2×(C2×D59)⋊C4C2311yescharacteristic
327C2×(C2×D59)⋊C4C2311yescharacteristic
328C2×(C2×D59)⋊C4C2311yescharacteristic
329C2×(C2×D59)⋊C4C2311yescharacteristic
330C22⋊C4×D59—24no—
331C2×C4×Dic59C2311yescharacteristic
332C2×C4×Dic59C2311yescharacteristic
333C2×C4×Dic59C2311yescharacteristic
334C2×C4×Dic59C2311yescharacteristic
335C2×C4×Dic59C2311yescharacteristic
336C2×C4×Dic59C2311yescharacteristic
337C42×D59—42no—
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
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359#126×C59—24no—
360C4×D4×C59—24no—
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×C22⋊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×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C42×C59C2311yescharacteristic
381C2×C42×C59C2311yescharacteristic
382C2×C42×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
393C24×C59C2411yescharacteristic
394C23×D59—22no—
395C23×D59—41no—
396C23×D59—41no—
397C23×D59—41no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C23×D59C2411yescharacteristic
405C23×D59C2411yescharacteristic
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C22×C4×C59—22no—
416C22×C4×C59—22no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
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
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—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—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59—41no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59—41no—
459C2×C22⋊D59—41no—
460C2×C22⋊D59—41no—
461C2×C22⋊D59—41no—
462C2×C22⋊D59—41no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59—41no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C2×D236—22no—
484C2×D236—22no—
485C2×D236—22no—
486C2×D236—22no—
487C2×D236—22no—
488C2×D236—22no—
489C2×D236—22no—
490C2×D236—41no—
491C2×D236—41no—
492C2×D236—41no—
493C2×D236—41no—
494C2×D236—41no—
495C2×D236—41no—
496C2×D236—41no—
497C2×D236—41no—
498C2×D236—41no—
499C2×D236—41no—
500C2×D236—41no—
501C2×D236—41no—
502C2×D236—41no—
503C2×D236—41no—
504C2×D236—41no—
505C2×D236—41no—
506C2×D236—41no—
507C2×D236—41no—
508C2×D236—41no—
509C2×D236C2×D414yes—
510C2×C4×D59—22no—
511C2×C4×D59—22no—
512C2×C4×D59—22no—
513C2×C4×D59—22no—
514C2×C4×D59—22no—
515C2×C4×D59—22no—
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×D59—41no—
527C2×C4×D59—41no—
528C2×C4×D59—41no—
529C2×C4×D59C2×D414yes—
530C2×C4×D59C2×D414yes—
531C2×Dic118—22no—
532C2×Dic118—41no—
533C2×Dic118—41no—
534C4⋊C4×C59—22no—
535C4⋊C4×C59—22no—
536C4⋊C4×C59—22no—
537C4⋊C4×C59—22no—
538C4⋊C4×C59—41no—
539C4⋊C4×C59—41no—
540C22⋊C4×C59—22no—
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×C59—41no—
551C22⋊C4×C59—41no—
552C22⋊C4×C59—41no—
553C42×C59—22no—
554C42×C59—41no—
555C42×C59C2×D414yes—
556C22⋊Dic59—22no—
557C22⋊Dic59—22no—
558C22⋊Dic59—22no—
559C22⋊Dic59—22no—
560C22⋊Dic59—22no—
561C22⋊Dic59—22no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
564C22⋊Dic59—41no—
565C22⋊Dic59—41no—
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—22no—
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)⋊C4—41no—
597(C2×D59)⋊C4—41no—
598(C2×D59)⋊C4—41no—
599(C2×D59)⋊C4C2×D414yes—
600(C2×D59)⋊C4C2×D414yes—
601C4⋊Dic59—22no—
602C4⋊Dic59—22no—
603C4⋊Dic59—22no—
604C4⋊Dic59—22no—
605C4⋊Dic59—41no—
606C4⋊Dic59—41no—
607C4⋊Dic59C2×D414yes—
608Dic59⋊C4—22no—
609Dic59⋊C4—22no—
610Dic59⋊C4—22no—
611Dic59⋊C4—22no—
612Dic59⋊C4—22no—
613Dic59⋊C4—22no—
614Dic59⋊C4—22no—
615Dic59⋊C4—22no—
616Dic59⋊C4—22no—
617Dic59⋊C4—22no—
618Dic59⋊C4—41no—
619Dic59⋊C4—41no—
620Dic59⋊C4—41no—
621Dic59⋊C4—41no—
622Dic59⋊C4—41no—
623C4×Dic59—22no—
624C4×Dic59—22no—
625C4×Dic59—22no—
626C4×Dic59—41no—
627C4×Dic59—41no—
628C4×Dic59—41no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59C2511yescharacteristic
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—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—21no—
672C22×D59—21no—
673C22×D59—21no—
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—21no—
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—44no—
685C22×D59—82no—
686C22×D59—82no—
687C22×D59—82no—
688C22×D59—82no—
689C22×D59—82no—
690C22×D59—82no—
691C22×D59C22×D412yes—
692C22×D59C22×D412yes—
693D4×C59—44no—
694D4×C59—82no—
695D4×C59—82no—
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—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—82no—
729C2×C4×C59—82no—
730C2×C4×C59C22×D412yes—
731C2×C4×C59C22×D412yes—
732C2×C4×C59C22×D412yes—
733C2×C4×C59H(5,𝔽2)12yes—
734C22⋊D59—82no—
735C22⋊D59—82no—
736C22⋊D59—82no—
737C22⋊D59—82no—
738C22⋊D59—82no—
739C22⋊D59—82no—
740C22⋊D59—82no—
741C22⋊D59—82no—
742C22⋊D59—82no—
743C22⋊D59—82no—
744C22⋊D59—82no—
745C22⋊D59—82no—
746C22⋊D59—82no—
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—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59C22×D412yes—
777C2×Dic59C22×D412yes—
778C2×Dic59H(5,𝔽2)12yes—
779C2×Dic59H(5,𝔽2)12yes—
780D236—44no—
781D236—44no—
782D236—82no—
783D236—82no—
784D236—82no—
785D236—82no—
786D236—82no—
787D236—82no—
788D236—82no—
789C4×D59—44no—
790C4×D59—44no—
791C4×D59—44no—
792C4×D59—44no—
793C4×D59—44no—
794C4×D59—82no—
795C4×D59—82no—
796Dic118—82no—
797#36744—591nomaximal, Sylow
798C22×C59—41no—
799C22×C59—41no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59C23×D411yescharacteristic
820C22×C59C2×H(5,𝔽2)11yescharacteristic
821C22×C59C2×H(5,𝔽2)11yescharacteristic
822C22×C59C2×H(5,𝔽2)11yescharacteristic
823C22×C59#58511yescharacteristic
824C22×C59#58511yescharacteristic
825C22×C59#58511yescharacteristic
826C2×D59—22no—
827C2×D59—22no—
828C2×D59—22no—
829C2×D59—22no—
830C2×D59—22no—
831C2×D59—22no—
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—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—88no—
862C4×C59—22no—
863C4×C59—22no—
864C4×C59—22no—
865C4×C59—22no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59—41no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874Dic59—22no—
875Dic59—22no—
876Dic59—22no—
877Dic59—22no—
878Dic59—41no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883Dic59—41no—
884Dic59—41no—
885C2×#540—591no—
886C2×#538—591no—
887#2856—591no—
888#2854—591no—
889#2721—591no—
890#2714—591no—
891#2694—591no—
892#2681—591no—
893#2680—591no—
894#2678—591no—
895#2676—591no—
896#2675—591no—
897#2673—591no—
898#2673—591no—
899#2672—591no—
900#2671—591no—
901#2671—591no—
902#2669—591no—
903#2669—591no—
904#2668—591no—
905#2661—591no—
906#2661—591no—
907#2610—591no—
908#2603D5911yescharacteristic, complemented
909#2602—591no—
910#2601—591no—
911#2540—591no—
912#2539—591no—
913#2414—591no—
914#2411—591no—
915#2290—591no—
916C2×C59—81no—
917C2×C59—81no—
918C2×C59—81no—
919C2×C59#344911yescharacteristic
920C2×C59#349611yescharacteristic
921C2×C59#349811yescharacteristic
922C2×C59#353411yescharacteristic
923C2×C59#354211yescharacteristic
924C2×C59#355111yescharacteristic
925C2×C59#356211yescharacteristic
926D59—42no—
927D59—42no—
928D59—81no—
929D59—81no—
930D59—81no—
931#540—1188no—
932#538—1188no—
933C2×#127—591no—
934C2×#127—591no—
935C2×#126—591no—
936C2×#126C2×D5911yescharacteristic
937C2×#125—591no—
938C2×#124—591no—
939C2×#124—591no—
940C2×#123—591no—
941C2×#123—591no—
942C2×#123—591no—
943C2×#123—591no—
944C2×#123—591no—
945C2×#123—591no—
946C2×#123—591no—
947C2×#123—591no—
948C2×C22⋊Q8—591no—
949C2×C22⋊Q8—591no—
950C2×C22⋊Q8—591no—
951C2×#121—591no—
952C2×#121—591no—
953C2×#121—591no—
954C2×#121—591no—
955C2×#121—591no—
956C2×#121—591no—
957C2×#121—591no—
958C2×#121—591no—
959C2×#121—591no—
960C2×#121—591no—
961C2×#121—591no—
962C2×#121—591no—
963C2×#121—591no—
964C2×#121—591no—
965C2×#121—591no—
966C2×#121—591no—
967C2×#121—591no—
968C2×#120—591no—
969C2×#120—591no—
970C2×#120—591no—
971C2×#120—591no—
972C2×#120—591no—
973C2×C4×D4—591no—
974C2×C4×D4—591no—
975C2×C4×D4C2×D5911yescharacteristic, complemented
976C2×#117—591no—
977C2×#117—591no—
978C22×C22⋊C4—591no—
979C22×C42—591no—
980#399—591no—
981#399—591no—
982#399—591no—
983#399—591no—
984#398—591no—
985#398—591no—
986#398—591no—
987#398C2×D5911yescharacteristic, complemented
988#397—591no—
989#397—591no—
990#397—591no—
991#397C2×D5911yescharacteristic
992#396—591no—
993#396—591no—
994#396—591no—
995#396—591no—
996#395—591no—
997#394—591no—
998#394—591no—
999#394—591no—
1000#394—591no—
1001#394—591no—
1002#394—591no—
1003#394—591no—
1004#394—591no—
1005#394—591no—
1006#394—591no—
1007#394—591no—
1008#394—591no—
1009#394—591no—
1010#394—591no—
1011#394C2×D5911yescharacteristic, complemented
1012#393—591no—
1013#392—591no—
1014#392—591no—
1015#392—591no—
1016#392—591no—
1017#392—591no—
1018#392—591no—
1019#392—591no—
1020#392—591no—
1021#392—591no—
1022#392—591no—
1023#392—591no—
1024#392—591no—
1025#392—591no—
1026#392—591no—
1027#392C2×D5911yescharacteristic
1028#390—591no—
1029#390—591no—
1030#390—591no—
1031#390—591no—
1032#390—591no—
1033#390—591no—
1034#390—591no—
1035#390—591no—
1036#390—591no—
1037#390—591no—
1038#390—591no—
1039#390C2×D5911yescharacteristic
1040#390C2×D5911yescharacteristic
1041#389—591no—
1042#389—591no—
1043#389—591no—
1044#388—591no—
1045#388—591no—
1046#388—591no—
1047#388—591no—
1048#388—591no—
1049#388—591no—
1050#388—591no—
1051#388—591no—
1052#388—591no—
1053#388—591no—
1054#388—591no—
1055#388—591no—
1056#388C2×D5911yescharacteristic, complemented
1057#388C2×D5911yescharacteristic, complemented
1058#387—591no—
1059#387—591no—
1060#387—591no—
1061#387—591no—
1062#386—591no—
1063#386—591no—
1064#386—591no—
1065#386—591no—
1066#386—591no—
1067#386—591no—
1068#386—591no—
1069#386—591no—
1070#386—591no—
1071#386C2×D5911yescharacteristic
1072#386C2×D5911yescharacteristic
1073#385—591no—
1074#385—591no—
1075#385—591no—
1076#385—591no—
1077#385—591no—
1078#385C2×D5911yescharacteristic, complemented
1079#385C2×D5911yescharacteristic, complemented
1080#384—591no—
1081#380—591no—
1082#380—591no—
1083#379—591no—
1084C4×C4⋊C4—591no—
1085C4×C22⋊C4—591no—
1086C4×C22⋊C4—591no—
1087#376C2×D5911yescharacteristic, complemented
1088C59#3674411yescharacteristic, complemented, Sylow
1089C25—591no—
1090C22×Q8—591no—
1091C22×D4—591no—
1092C22×D4—591no—
1093C22×D4—591no—
1094C22×D4—591no—
1095C22×D4—591no—
1096C22×D4—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—591no—
1101C22×D4—591no—
1102C22×D4—591no—
1103C22×D4—591no—
1104C22×D4—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—591no—
1111C22×D4—591no—
1112C22×D4—591no—
1113C22×D4C22×D5911yescharacteristic
1114C22×D4C22×D5911yescharacteristic
1115C22×D4C22×D5911yescharacteristic
1116C23×C4—591no—
1117C23×C4—591no—
1118C23×C4—591no—
1119C23×C4—591no—
1120C23×C4—591no—
1121C23×C4—591no—
1122C23×C4—591no—
1123C23×C4C22×D5911yescharacteristic
1124C23×C4C22×D5911yescharacteristic
1125#127—1184no—
1126#127—2362no—
1127#126—24no—
1128#126—1184no—
1129#125—1184no—
1130#124—1184no—
1131#124—1184no—
1132#123—1184no—
1133#123—1184no—
1134#123—1184no—
1135#123—1184no—
1136#123—1184no—
1137#123—1184no—
1138#123—2362no—
1139#123—2362no—
1140C22⋊Q8—1184no—
1141C22⋊Q8—2362no—
1142C22⋊Q8—2362no—
1143#121—1184no—
1144#121—1184no—
1145#121—1184no—
1146#121—1184no—
1147#121—1184no—
1148#121—1184no—
1149#121—1184no—
1150#121—1184no—
1151#121—1184no—
1152#121—2362no—
1153#121—2362no—
1154#121—2362no—
1155#121—2362no—
1156#121—2362no—
1157#121—2362no—
1158#121—2362no—
1159#121—2362no—
1160#120—1184no—
1161#120—1184no—
1162#120—2362no—
1163#120—2362no—
1164#120—2362no—
1165C4×D4—24no—
1166C4×D4—598no—
1167C4×D4—1184no—
1168#117—1184no—
1169#117—2362no—
1170C2×C4⋊C4—591no—
1171C2×C4⋊C4—591no—
1172C2×C4⋊C4—591no—
1173C2×C4⋊C4—591no—
1174C2×C4⋊C4—591no—
1175C2×C4⋊C4—591no—
1176C2×C4⋊C4—591no—
1177C2×C4⋊C4—591no—
1178C2×C4⋊C4—591no—
1179C2×C4⋊C4—591no—
1180C2×C4⋊C4—591no—
1181C2×C4⋊C4—591no—
1182C2×C4⋊C4—591no—
1183C2×C4⋊C4—591no—
1184C2×C4⋊C4—591no—
1185C2×C4⋊C4—591no—
1186C2×C4⋊C4—591no—
1187C2×C4⋊C4—591no—
1188C2×C4⋊C4—591no—
1189C2×C4⋊C4—591no—
1190C2×C4⋊C4—591no—
1191C2×C4⋊C4—591no—
1192C2×C4⋊C4C22×D5911yescharacteristic
1193C2×C4⋊C4C22×D5911yescharacteristic
1194C2×C4⋊C4C22×D5911yescharacteristic
1195C2×C4⋊C4C22×D5911yescharacteristic
1196C2×C4⋊C4C22×D5911yescharacteristic
1197C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1224C2×C22⋊C4—591no—
1225C2×C22⋊C4—591no—
1226C2×C22⋊C4—591no—
1227C2×C22⋊C4—591no—
1228C2×C22⋊C4—591no—
1229C2×C22⋊C4—591no—
1230C2×C22⋊C4—591no—
1231C2×C22⋊C4—591no—
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4—1184no—
1244C2×C22⋊C4C22×D5911yescharacteristic
1245C2×C22⋊C4C22×D5911yescharacteristic
1246C2×C22⋊C4C22×D5911yescharacteristic
1247C2×C22⋊C4C22×D5911yescharacteristic
1248C2×C22⋊C4C22×D5911yescharacteristic
1249C2×C22⋊C4C22×D5911yescharacteristic
1250C2×C22⋊C4C22×D5911yescharacteristic
1251C2×C22⋊C4C22×D5911yescharacteristic
1252C2×C22⋊C4C22×D5911yescharacteristic
1253C2×C22⋊C4C22×D5911yescharacteristic
1254C2×C22⋊C4C22×D5911yescharacteristic
1255C2×C22⋊C4C22×D5911yescharacteristic
1256C2×C22⋊C4C22×D5911yescharacteristic
1257C2×C42—591no—
1258C2×C42—591no—
1259C2×C42—591no—
1260C2×C42—591no—
1261C2×C42—591no—
1262C2×C42—591no—
1263C2×C42—2362no—
1264C2×C42C22×D5911yescharacteristic
1265C2×C42C22×D5911yescharacteristic
1266C2×C42C22×D5911yescharacteristic
1267#95—591no—
1268#95—591no—
1269#95—591no—
1270#95—591no—
1271#95—591no—
1272#95—591no—
1273#95—591no—
1274#95—591no—
1275#95—591no—
1276#95—591no—
1277#95—591no—
1278#95—591no—
1279#95—591no—
1280#95—591no—
1281#95—591no—
1282#95—591no—
1283#95C22×D5911yescharacteristic
1284#95C22×D5911yescharacteristic
1285#95C22×D5911yescharacteristic
1286#95C22×D5911yescharacteristic
1287#95C22×D5911yescharacteristic
1288#95C22×D5911yescharacteristic
1289#95C22×D5911yescharacteristic
1290#95C22×D5911yescharacteristic
1291C24—591no—
1292C24—591no—
1293C24—591no—
1294C24—591no—
1295C24—591no—
1296C24—1182no—
1297C24—2361no—
1298C24—2361no—
1299C24—2361no—
1300C24—2361no—
1301C24—2361no—
1302C24—2361no—
1303C24C23×D5911yescharacteristic
1304C24C23×D5911yescharacteristic
1305C24C23×D5911yescharacteristic
1306C2×Q8—1182no—
1307C2×Q8—2361no—
1308C2×Q8—2361no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—594no—
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—1182no—
1330C2×D4—1182no—
1331C2×D4—1182no—
1332C2×D4—1182no—
1333C2×D4—1182no—
1334C2×D4—1182no—
1335C2×D4—1182no—
1336C2×D4—1182no—
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—
1347C2×D4—2361no—
1348C2×D4—2361no—
1349C2×D4—2361no—
1350C2×D4—2361no—
1351C2×D4—2361no—
1352C2×D4—2361no—
1353C2×D4—2361no—
1354C2×D4—2361no—
1355C2×D4—2361no—
1356C2×D4—2361no—
1357C2×D4—2361no—
1358C2×D4—2361no—
1359C2×D4—2361no—
1360C2×D4—2361no—
1361C2×D4—2361no—
1362C2×D4—2361no—
1363C2×D4—2361no—
1364C2×D4—2361no—
1365C2×D4—2361no—
1366C2×D4—2361no—
1367C2×D4—2361no—
1368C2×D4—2361no—
1369C2×D4—2361no—
1370C2×D4—2361no—
1371C2×D4—2361no—
1372C2×D4—2361no—
1373C2×D4—2361no—
1374C2×D4—2361no—
1375C2×D4—2361no—
1376C2×D4—2361no—
1377C2×D4—2361no—
1378C2×D4—2361no—
1379C2×D4—2361no—
1380C2×D4—2361no—
1381C2×D4—2361no—
1382C2×D4—2361no—
1383C2×D4—2361no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—591no—
1391C22×C4—591no—
1392C22×C4—591no—
1393C22×C4—591no—
1394C22×C4—594no—
1395C22×C4—594no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—591no—
1400C22×C4—591no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—1182no—
1404C22×C4—1182no—
1405C22×C4—1182no—
1406C22×C4—1182no—
1407C22×C4—1182no—
1408C22×C4—1182no—
1409C22×C4—2361no—
1410C22×C4—2361no—
1411C22×C4—2361no—
1412C22×C4—2361no—
1413C22×C4—2361no—
1414C22×C4—2361no—
1415C22×C4—2361no—
1416C22×C4—2361no—
1417C22×C4—2361no—
1418C22×C4—2361no—
1419C22×C4—2361no—
1420C22×C4—2361no—
1421C22×C4—2361no—
1422C22×C4C23×D5911yescharacteristic
1423C22×C4C23×D5911yescharacteristic
1424C22×C4C23×D5911yescharacteristic
1425C22×C4C23×D5911yescharacteristic
1426C22×C4C23×D5911yescharacteristic
1427C22×C4C23×D5911yescharacteristic
1428C22×C4C23×D5911yescharacteristic
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431C22×C4C23×D5911yescharacteristic
1432C22×C4C23×D5911yescharacteristic
1433C22×C4C23×D5911yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—41no—
1439C4⋊C4—41no—
1440C4⋊C4—594no—
1441C4⋊C4—1182no—
1442C4⋊C4—1182no—
1443C4⋊C4—1182no—
1444C4⋊C4—1182no—
1445C4⋊C4—1182no—
1446C4⋊C4—1182no—
1447C4⋊C4—1182no—
1448C4⋊C4—1182no—
1449C4⋊C4—1182no—
1450C4⋊C4—1182no—
1451C4⋊C4—1182no—
1452C4⋊C4—1182no—
1453C4⋊C4—1182no—
1454C4⋊C4—1182no—
1455C4⋊C4—2361no—
1456C4⋊C4—2361no—
1457C4⋊C4—2361no—
1458C4⋊C4—2361no—
1459C4⋊C4—2361no—
1460C4⋊C4—2361no—
1461C4⋊C4—2361no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—594no—
1476C22⋊C4—594no—
1477C22⋊C4—1182no—
1478C22⋊C4—1182no—
1479C22⋊C4—1182no—
1480C22⋊C4—1182no—
1481C22⋊C4—1182no—
1482C22⋊C4—1182no—
1483C22⋊C4—1182no—
1484C22⋊C4—1182no—
1485C22⋊C4—1182no—
1486C22⋊C4—1182no—
1487C22⋊C4—1182no—
1488C22⋊C4—1182no—
1489C22⋊C4—1182no—
1490C22⋊C4—1182no—
1491C22⋊C4—1182no—
1492C22⋊C4—1182no—
1493C22⋊C4—1182no—
1494C22⋊C4—1182no—
1495C22⋊C4—1182no—
1496C22⋊C4—1182no—
1497C22⋊C4—1182no—
1498C22⋊C4—1182no—
1499C22⋊C4—1182no—
1500C22⋊C4—1182no—
1501C22⋊C4—1182no—
1502C22⋊C4—2361no—
1503C22⋊C4—2361no—
1504C22⋊C4—2361no—
1505C22⋊C4—2361no—
1506C22⋊C4—2361no—
1507C22⋊C4—2361no—
1508C22⋊C4—2361no—
1509C22⋊C4—2361no—
1510C22⋊C4—2361no—
1511C22⋊C4—2361no—
1512C22⋊C4—2361no—
1513C22⋊C4—2361no—
1514C22⋊C4—2361no—
1515C22⋊C4—2361no—
1516C22⋊C4—2361no—
1517C22⋊C4—2361no—
1518C22⋊C4—2361no—
1519C22⋊C4—2361no—
1520C42—22no—
1521C42—41no—
1522C42—1182no—
1523C42—1182no—
1524C42—1182no—
1525C42—2361no—
1526C42—2361no—
1527C42—2361no—
1528C42D4×D5914yes—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—592no—
1551C23—592no—
1552C23—1181no—
1553C23—1181no—
1554C23—1181no—
1555C23—1181no—
1556C23—1181no—
1557C23—1181no—
1558C23—1181no—
1559C23—1181no—
1560C23—1181no—
1561C23—1181no—
1562C23—1181no—
1563C23—1181no—
1564C23—1181no—
1565C23—1181no—
1566C23—1181no—
1567C23—1181no—
1568C23—1181no—
1569C23—1181no—
1570C23—1181no—
1571C23—1181no—
1572C23—1181no—
1573C23—1181no—
1574C23—1181no—
1575C23—1181no—
1576C23—1181no—
1577C23—1181no—
1578C23—1181no—
1579C23—1181no—
1580C23—1181no—
1581C23—1181no—
1582C23—1181no—
1583C23—1181no—
1584C23—1181no—
1585C23—4722no—
1586C23—4722no—
1587C23—4722no—
1588C23—4722no—
1589C23—4722no—
1590C23—4722no—
1591C23—2364no—
1592C23C24×D5911yescharacteristic
1593Q8—4722no—
1594D4—44no—
1595D4—82no—
1596D4—82no—
1597D4—4722no—
1598D4—4722no—
1599D4—4722no—
1600D4—4722no—
1601D4—4722no—
1602D4—4722no—
1603D4—4722no—
1604D4—4722no—
1605D4—4722no—
1606D4—4722no—
1607D4—4722no—
1608D4—4722no—
1609D4—4722no—
1610D4—4722no—
1611D4—4722no—
1612D4—4722no—
1613D4—4722no—
1614D4—4722no—
1615D4—4722no—
1616D4—4722no—
1617D4—2364no—
1618D4—2364no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—82no—
1652C2×C4—82no—
1653C2×C4—592no—
1654C2×C4—592no—
1655C2×C4—592no—
1656C2×C4—592no—
1657C2×C4—1181no—
1658C2×C4—1181no—
1659C2×C4—1181no—
1660C2×C4—1181no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—4722no—
1687C2×C4—4722no—
1688C2×C4—2364no—
1689C2×C4—2364no—
1690C2×C4—2364no—
1691C2×C4—2364no—
1692C2×C4—2364no—
1693C2×C4C2×D4×D5912yes—
1694C2×C4C2×D4×D5912yes—
1695C2×C4C2×D4×D5912yes—
1696C2×C4#1427377312yes—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—1182no—
1719C22—1182no—
1720C22—1182no—
1721C22—1182no—
1722C22—1182no—
1723C22—1182no—
1724C22—4728no—
1725C22—2361no—
1726C22—2361no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22—2361no—
1740C22—2361no—
1741C22—2361no—
1742C22—2361no—
1743C22—2361no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22—2361no—
1754C22C22×D4×D5911yescharacteristic
1755C22H(5,𝔽2)×D5911yescharacteristic
1756C22H(5,𝔽2)×D5911yescharacteristic
1757C22C2×#1427377311yescharacteristic
1758C22#1683823811yescharacteristic
1759C22#1683823811yescharacteristic
1760C22#1683823811yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—1182no—
1774C4—1182no—
1775C4—1182no—
1776C4—1182no—
1777C4—2361no—
1778C4—2361no—
1779C4—2361no—
1780C4—2361no—
1781C4—2361no—
1782C4—2361no—
1783C4—2361no—
1784C2—81no—
1785C2—81no—
1786C2—81no—
1787C2—4721no—
1788C2—4721no—
1789C2—4721no—
1790C2—2362no—
1791C2—2362no—
1792C2#2143742611yescharacteristic
1793C2#2143785811yescharacteristic
1794C2#2143787111yescharacteristic
1795C2#2143828911yescharacteristic
1796C2#2143841511yescharacteristic
1797C2#2143851911yescharacteristic
1798C2#2143866911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2603C2
hypercenter#2603D59
hypocenterC59#36744
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2603

Complements

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

NH ≅ G/Ntype
1. C2×#16838003C2semidirect
2. C2×#16837991C2semidirect
3. #21432440C2semidirect
4. #21432423C2semidirect
5. #21430996C2semidirect
6. #21430897C2semidirect
7. #21430621C2semidirect
8. #21430449C2semidirect
9. #21430438C2semidirect
10. #21430422C2semidirect
11. #21430401C2semidirect
12. #21430387C2semidirect
13. #21430369C2semidirect
14. #21430367C2semidirect
15. #21430351C2semidirect
16. #21430339C2semidirect
17. #21430336C2semidirect
18. #21430315C2semidirect
19. #21430314C2semidirect
20. #21430306C2semidirect
21. #21430228C2semidirect
22. #21430226C2semidirect
23. #21429777C2semidirect
24. #21429715C2semidirect
25. #21429695C2semidirect
26. #21429035C2semidirect
27. #21429025C2semidirect
28. #21427513C2semidirect
29. #21427478C2semidirect
30. #21426540C2semidirect
31. C59×#2603C2semidirect
37. C2×#14273718C22semidirect
43. C2×#14273710C22semidirect
47. C2×#14273709C22semidirect
48. C2×#14273706C22semidirect
49. C2×#14273706C22semidirect
54. C2×#14273702C22semidirect
58. C2×#14273701C22semidirect
63. C2×#14273700C22semidirect
64. C2×#14273700C22semidirect
65. C2×#14273700C22semidirect
67. C2×#14273698C22semidirect
76. C2×#14273684C22semidirect
78. C2×C42×D59C22semidirect
82. #16837337C22semidirect
83. #16837336C22semidirect
84. #16837335C22semidirect
85. #16837335C22semidirect
88. #16837330C22semidirect
92. #16837324C22semidirect
93. #16837323C22semidirect
97. #16837320C22semidirect
98. #16837319C22semidirect
102. #16837318C22semidirect
106. #16837317C22semidirect
108. #16837315C22semidirect
117. #16837311C22semidirect
122. #16837310C22semidirect
124. #16837304C22semidirect
130. #16837302C22semidirect
131. #16837302C22semidirect
132. #16837302C22semidirect
133. #16837302C22semidirect
134. #16837299C22semidirect
135. #16837299C22semidirect
136. #16837297C22semidirect
138. #16837296C22semidirect
143. #16837294C22semidirect
145. #16837293C22semidirect
146. #16837292C22semidirect
148. #16837290C22semidirect
149. #16837289C22semidirect
150. #16837287C22semidirect
151. #16837287C22semidirect
152. #16837283C22semidirect
157. #16837280C22semidirect
160. #16837278C22semidirect
161. #16837278C22semidirect
162. #16837276C22semidirect
163. #16837276C22semidirect
164. #16837276C22semidirect
166. #16837273C22semidirect
167. #16837271C22semidirect
168. #16837261C22semidirect
169. #16837261C22semidirect
171. C4×C4⋊Dic59C22semidirect
173. C4×(C2×D59)⋊C4C22semidirect
175. C2×C4×D4×C59C22semidirect
176. C59×#398C22semidirect
178. C59×#394C22semidirect
182. C59×#388C22semidirect
183. C59×#388C22semidirect
186. C59×#385C22semidirect
187. C59×#385C22semidirect
188. C59×#376C22semidirect
259. C4×D236D4semidirect
908. #2603D59semidirect
975. C2×C4×D4C2×D59semidirect
987. #398C2×D59semidirect
1011. #394C2×D59semidirect
1056. #388C2×D59semidirect
1057. #388C2×D59semidirect
1078. #385C2×D59semidirect
1079. #385C2×D59semidirect
1087. #376C2×D59semidirect
1088. C59#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#168380032
C2×#168379912
#214324402
#214324232
#214309962
#214308972
#214306212
#214304492
#214304382
#214304222
#214304012
#214303872
#214303692
#214303672
#214303512
#214303392
#214303362
#214303152
#214303142
#214303062
#214302282
#214302262
#214297772
#214297152
#214296952
#214290352
#214290252
#214275132
#214274782
#214265402
C59×#26032
#3674459