Finite Group Databasebeta

← #28796067

Subgroups — #28796067

Order 15104.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837988C211yesmaximal, characteristic, complemented
2C2×#16837986C211yesmaximal, characteristic, complemented
3#21432379C211yesmaximal, characteristic, complemented
4#21432375C211yesmaximal, characteristic, complemented
5#21431001C211yesmaximal, characteristic, complemented
6#21430911C211yesmaximal, characteristic, complemented
7#21430909C211yesmaximal, characteristic, complemented
8#21430862C211yesmaximal, characteristic, complemented
9#21430638C211yesmaximal, characteristic, complemented
10#21430632C211yesmaximal, characteristic, complemented
11#21430601C211yesmaximal, characteristic, complemented
12#21430576C211yesmaximal, characteristic, complemented
13#21430570C211yesmaximal, characteristic, complemented
14#21430404C211yesmaximal, characteristic, complemented
15#21430393C211yesmaximal, characteristic, complemented
16#21430386C211yesmaximal, characteristic, complemented
17#21430350C211yesmaximal, characteristic, complemented
18#21430337C211yesmaximal, characteristic, complemented
19#21430330C211yesmaximal, characteristic, complemented
20#21429835C211yesmaximal, characteristic, complemented
21#21429835C211yesmaximal, characteristic, complemented
22#21429277C211yesmaximal, characteristic, complemented
23#21429271C211yesmaximal, characteristic, complemented
24#21429061C211yesmaximal, characteristic, complemented
25#21429055C211yesmaximal, characteristic, complemented
26#21427545C211yesmaximal, characteristic, complemented
27#21427543C211yesmaximal, characteristic, complemented
28#21427531C211yesmaximal, characteristic, complemented
29#21427529C211yesmaximal, characteristic, complemented
30#385×D59C211yesmaximal, characteristic, complemented
31C59×#2672C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33#16837988—28no—
34#16837986—28no—
35C2×#14273722C2211yescharacteristic
36C2×#14273721C2211yescharacteristic
37C2×#14273720C2211yescharacteristic
38C2×#14273720C2211yescharacteristic
39C2×#14273716C2211yescharacteristic
40C2×#14273713C2211yescharacteristic
41C2×#14273713C2211yescharacteristic
42C2×#14273712C2211yescharacteristic
43C2×#14273711C2211yescharacteristic
44C2×#14273709C2211yescharacteristic
45C2×#14273707C2211yescharacteristic
46C2×#14273707C2211yescharacteristic, complemented
47C2×#14273703C2211yescharacteristic
48C2×#14273702C2211yescharacteristic
49C2×#14273702C2211yescharacteristic
50C2×#14273701C2211yescharacteristic
51C2×#14273701C2211yescharacteristic
52C2×#14273700C2211yescharacteristic
53C2×#14273700C2211yescharacteristic
54C2×#14273700C2211yescharacteristic
55C2×#14273700C2211yescharacteristic
56C2×#14273700C2211yescharacteristic
57C2×#14273700C2211yescharacteristic, complemented
58C2×#14273699C2211yescharacteristic
59C2×#14273699C2211yescharacteristic, complemented
60C2×#14273698C2211yescharacteristic
61C2×#14273698C2211yescharacteristic
62C2×#14273698C2211yescharacteristic
63C2×#14273697C2211yescharacteristic
64C2×#14273697C2211yescharacteristic
65C2×#14273695C2211yescharacteristic
66C2×#14273695C2211yescharacteristic
67C2×C4×D236C2211yescharacteristic
68C2×#14273689C2211yescharacteristic
69C2×C4×C22⋊D59C2211yescharacteristic
70C2×(C22⋊D59)⋊C4C2211yescharacteristic
71C2×C4⋊C4×D59C2211yescharacteristic
72C2×C4⋊C4×D59C2211yescharacteristic
73C2×C22⋊C4×D59C2211yescharacteristic
74C2×C22⋊C4×D59C2211yescharacteristic
75#16837341C2211yescharacteristic, complemented
76#16837340C2211yescharacteristic, complemented
77#16837339C2211yescharacteristic, complemented
78#16837336C2211yescharacteristic, complemented
79#16837335C2211yescharacteristic, complemented
80#16837334C2211yescharacteristic, complemented
81#16837334C2211yescharacteristic, complemented
82#16837333C2211yescharacteristic, complemented
83#16837333C2211yescharacteristic, complemented
84#16837331C2211yescharacteristic
85#16837331C2211yescharacteristic
86#16837331C2211yescharacteristic, complemented
87#16837330C2211yescharacteristic
88#16837330C2211yescharacteristic
89#16837330C2211yescharacteristic, complemented
90#16837325C2211yescharacteristic, complemented
91#16837325C2211yescharacteristic, complemented
92#16837325C2211yescharacteristic, complemented
93#16837324C2211yescharacteristic, complemented
94#16837324C2211yescharacteristic, complemented
95#16837324C2211yescharacteristic, complemented
96#16837324C2211yescharacteristic, complemented
97#16837323C2211yescharacteristic, complemented
98#16837319C2211yescharacteristic
99#16837319C2211yescharacteristic
100#16837319C2211yescharacteristic, complemented
101#16837318C2211yescharacteristic
102#16837318C2211yescharacteristic
103#16837318C2211yescharacteristic
104#16837318C2211yescharacteristic
105#16837318C2211yescharacteristic, complemented
106#16837318C2211yescharacteristic, complemented
107#16837318C2211yescharacteristic, complemented
108#16837317C2211yescharacteristic, complemented
109#16837314C2211yescharacteristic, complemented
110#16837313C2211yescharacteristic, complemented
111#16837311C2211yescharacteristic
112#16837311C2211yescharacteristic
113#16837311C2211yescharacteristic, complemented
114#16837310C2211yescharacteristic
115#16837310C2211yescharacteristic
116#16837310C2211yescharacteristic, complemented
117#16837309C2211yescharacteristic, complemented
118#16837308C2211yescharacteristic, complemented
119#16837302C2211yescharacteristic, complemented
120#16837302C2211yescharacteristic, complemented
121#16837301C2211yescharacteristic, complemented
122#16837299C2211yescharacteristic, complemented
123#16837297C2211yescharacteristic, complemented
124#16837294C2211yescharacteristic, complemented
125#16837293C2211yescharacteristic, complemented
126#16837290C2211yescharacteristic, complemented
127#16837288C2211yescharacteristic, complemented
128#16837288C2211yescharacteristic, complemented
129#16837285C2211yescharacteristic, complemented
130#16837285C2211yescharacteristic, complemented
131#16837282C2211yescharacteristic
132#16837282C2211yescharacteristic
133#16837281C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic
137#16837280C2211yescharacteristic
138#16837280C2211yescharacteristic
139#16837280C2211yescharacteristic
140#16837280C2211yescharacteristic, complemented
141#16837279C2211yescharacteristic
142#16837279C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic
146#16837278C2211yescharacteristic
147#16837278C2211yescharacteristic
148#16837278C2211yescharacteristic
149#16837278C2211yescharacteristic, complemented
150#16837277C2211yescharacteristic
151#16837277C2211yescharacteristic, complemented
152#16837277C2211yescharacteristic, complemented
153#16837276C2211yescharacteristic
154#16837276C2211yescharacteristic
155#16837275C2211yescharacteristic
156#16837274C2211yescharacteristic
157#16837273C2211yescharacteristic
158#16837273C2211yescharacteristic
159#16837273C2211yescharacteristic, complemented
160#16837273C2211yescharacteristic, complemented
161#16837262C2211yescharacteristic
162#16837262C2211yescharacteristic, complemented
163#16837261C2211yescharacteristic, complemented
164#16837260C2211yescharacteristic, complemented
165#16837259C2211yescharacteristic
166#16837259C2211yescharacteristic
167#16837259C2211yescharacteristic
168#16837259C2211yescharacteristic
169#16837259C2211yescharacteristic
170#16837259C2211yescharacteristic
171#16837259C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic
173#95×D59C2211yescharacteristic
174C2×#124×C59C2211yescharacteristic
175C2×#123×C59C2211yescharacteristic
176C2×C22⋊Q8×C59C2211yescharacteristic, complemented
177C2×#121×C59C2211yescharacteristic
178C59×#399C2211yescharacteristic, complemented
179C59×#396C2211yescharacteristic, complemented
180C59×#395C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic
182C59×#394C2211yescharacteristic
183C59×#394C2211yescharacteristic, complemented
184C59×#389C2211yescharacteristic, complemented
185C59×#388C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic
188C59×#380C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C22×C4×D59—42no—
209C22×C4×D59—42no—
210C22×C4×D59—42no—
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221#14273722—24no—
222#14273721—24no—
223#14273720—24no—
224#14273720—24no—
225#14273716—24no—
226#14273713—24no—
227#14273713—24no—
228#14273712—24no—
229#14273711—24no—
230#14273709—24no—
231#14273707—24no—
232#14273707—42no—
233#14273703—24no—
234#14273702—42no—
235#14273702—42no—
236#14273701—24no—
237#14273701—42no—
238#14273700—24no—
239#14273700—24no—
240#14273700—24no—
241#14273700—42no—
242#14273700—42no—
243#14273700—42no—
244#14273699—24no—
245#14273699—42no—
246#14273698—24no—
247#14273698—42no—
248#14273698—42no—
249#14273697—24no—
250#14273697—24no—
251#14273695—24no—
252#14273695—24no—
253C4×D236—24no—
254#14273689—24no—
255C4×C22⋊D59—24no—
256(C22⋊D59)⋊C4—24no—
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×C4⋊Dic59C2311yescharacteristic
263C2×C4⋊Dic59C2311yescharacteristic
264C2×C4⋊Dic59C2311yescharacteristic
265C2×C4⋊Dic59C2311yescharacteristic
266C2×C4⋊Dic59C2311yescharacteristic
267C2×C4⋊Dic59C2311yescharacteristic
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
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C4⋊C4×D59—42no—
281C4⋊C4×D59—42no—
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×(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
321C22⋊C4×D59—42no—
322C22⋊C4×D59D418yescomplemented
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C22×Q8×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358#124×C59—24no—
359#123×C59—24no—
360C22⋊Q8×C59—42no—
361#121×C59—42no—
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×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C42×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—22no—
396C23×D59—41no—
397C23×D59—41no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59C2×D414yes—
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C23×D59C2411yescharacteristic
405C2×Q8×C59—22no—
406C2×Q8×C59—41no—
407C2×Q8×C59—41no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C2×D4×C59—41no—
417C22×C4×C59—22no—
418C22×C4×C59—22no—
419C22×C4×C59—22no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59—41no—
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
434C22×C4×C59C2411yescharacteristic
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—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
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—
465C22×Dic59—22no—
466C22×Dic59—41no—
467C22×Dic59—41no—
468C22×Dic59—41no—
469C22×Dic59—41no—
470C22×Dic59—41no—
471C22×Dic59C2411yescharacteristic
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—22no—
491C2×D236—22no—
492C2×D236—41no—
493C2×D236—41no—
494C2×D236—41no—
495C2×D236—41no—
496C2×D236—41no—
497C2×D236—41no—
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—41no—
509C2×C4×D59—41no—
510C2×C4×D59—41no—
511C2×C4×D59—41no—
512C2×C4×D59—41no—
513C2×C4×D59—41no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59—416no—
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×D59C2×D414yes—
528C2×C4×D59C2×D414yes—
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—41no—
538C4⋊C4×C59—41no—
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—22no—
547C22⋊C4×C59—22no—
548C22⋊C4×C59—41no—
549C22⋊C4×C59—41no—
550C22⋊C4×C59—41no—
551C22⋊C4×C59—41no—
552C22⋊C4×C59—41no—
553C22⋊C4×C59C2×D414yes—
554C42×C59—22no—
555C22⋊Dic59—22no—
556C22⋊Dic59—22no—
557C22⋊Dic59—22no—
558C22⋊Dic59—41no—
559C22⋊Dic59—41no—
560C22⋊Dic59—41no—
561C22⋊Dic59—41no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
564C22⋊Dic59—41no—
565C22⋊Dic59C2×D414yes—
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—41no—
581(C2×D59)⋊C4—41no—
582(C2×D59)⋊C4—41no—
583(C2×D59)⋊C4—41no—
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)⋊C4C2×D414yes—
593(C2×D59)⋊C4C2×D414yes—
594C4⋊Dic59—22no—
595C4⋊Dic59—22no—
596C4⋊Dic59—22no—
597C4⋊Dic59—22no—
598C4⋊Dic59—22no—
599C4⋊Dic59—41no—
600C4⋊Dic59—41no—
601C4⋊Dic59—41no—
602C4⋊Dic59—41no—
603C4⋊Dic59—41no—
604C4⋊Dic59—41no—
605Dic59⋊C4—22no—
606Dic59⋊C4—22no—
607Dic59⋊C4—22no—
608Dic59⋊C4—22no—
609Dic59⋊C4—22no—
610Dic59⋊C4—22no—
611Dic59⋊C4—22no—
612Dic59⋊C4—22no—
613Dic59⋊C4—41no—
614Dic59⋊C4—41no—
615Dic59⋊C4—41no—
616Dic59⋊C4—41no—
617C4×Dic59—22no—
618C4×Dic59—22no—
619C4×Dic59—22no—
620C23×C59—21no—
621C23×C59—21no—
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×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59C22×D412yes—
641C23×C59C2511yescharacteristic
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—28no—
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—44no—
668C22×D59—44no—
669C22×D59—44no—
670C22×D59—44no—
671C22×D59—44no—
672C22×D59—44no—
673C22×D59C22×D412yes—
674C22×D59C22×D412yes—
675C22×D59H(5,𝔽2)12yes—
676C22×D592−1+412yes—
677Q8×C59—82no—
678D4×C59—82no—
679D4×C59—82no—
680D4×C59—82no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—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—44no—
714C2×C4×C59—82no—
715C2×C4×C59C22×D412yes—
716C2×C4×C59C22×D412yes—
717C2×C4×C59H(5,𝔽2)12yes—
718C2×C4×C59H(5,𝔽2)12yes—
719C22⋊D59—44no—
720C22⋊D59—44no—
721C22⋊D59—82no—
722C22⋊D59—82no—
723C22⋊D59—82no—
724C22⋊D59—82no—
725C22⋊D59—82no—
726C22⋊D59—82no—
727C22⋊D59—82no—
728C22⋊D59—82no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—44no—
764C2×Dic59—82no—
765C2×Dic59C22×D412yes—
766C2×Dic59C22×D412yes—
767D236—44no—
768D236—44no—
769D236—82no—
770D236—82no—
771D236—82no—
772C4×D59—44no—
773C4×D59—44no—
774C4×D59—44no—
775C4×D59—44no—
776C4×D59—44no—
777C4×D59—44no—
778C4×D59—82no—
779C4×D59—82no—
780C4×D59—82no—
781C4×D59—82no—
782Dic118—82no—
783#36738—591nomaximal, Sylow
784C22×C59—22no—
785C22×C59—22no—
786C22×C59—22no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59—41no—
793C22×C59—41no—
794C22×C59—41no—
795C22×C59—41no—
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×C59—41no—
805C22×C59C23×D411yescharacteristic
806C22×C59C2×H(5,𝔽2)11yescharacteristic
807C22×C59C2×H(5,𝔽2)11yescharacteristic
808C22×C59C2×H(5,𝔽2)11yescharacteristic
809C22×C59C2×2−1+411yescharacteristic
810C22×C59#58511yescharacteristic
811C22×C59#58511yescharacteristic
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—416no—
822C2×D59—41no—
823C2×D59—41no—
824C2×D59—41no—
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#53714yes—
841C4×C59—22no—
842C4×C59—22no—
843C4×C59—22no—
844C4×C59—22no—
845C4×C59—41no—
846C4×C59—41no—
847C4×C59—41no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853Dic59—22no—
854Dic59—22no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59—41no—
861Dic59—41no—
862Dic59—41no—
863Dic59—41no—
864Dic59—41no—
865C2×#538—591no—
866C2×#538—591no—
867#2847—591no—
868#2847—591no—
869#2722—591no—
870#2715—591no—
871#2715—591no—
872#2712—591no—
873#2695—591no—
874#2695—591no—
875#2693—591no—
876#2691—591no—
877#2691—591no—
878#2676—591no—
879#2676—591no—
880#2675—591no—
881#2672—591no—
882#2672D5911yescharacteristic, complemented
883#2671—591no—
884#2671—591no—
885#2617—591no—
886#2617—591no—
887#2564—591no—
888#2564—591no—
889#2543—591no—
890#2543—591no—
891#2417—591no—
892#2417—591no—
893#2416—591no—
894#2416—591no—
895C2×#385—591no—
896C2×C59—42no—
897C2×C59—81no—
898C2×C59—81no—
899C2×C59C2×#53711yescharacteristic
900C2×C59#349611yescharacteristic
901C2×C59#349611yescharacteristic
902C2×C59#353211yescharacteristic
903C2×C59#353311yescharacteristic
904C2×C59#354111yescharacteristic
905C2×C59#354111yescharacteristic
906D59—24no—
907D59—42no—
908D59—81no—
909D59—81no—
910C24×C4—591no—
911#538—1188no—
912#538—1188no—
913C2×#126—591no—
914C2×#126—591no—
915C2×#126—591no—
916C2×#126—591no—
917C2×#124—591no—
918C2×#124—591no—
919C2×#124—591no—
920C2×#124C2×D5911yescharacteristic
921C2×#123—591no—
922C2×#123—591no—
923C2×#123—591no—
924C2×#123C2×D5911yescharacteristic
925C2×C22⋊Q8—591no—
926C2×C22⋊Q8—591no—
927C2×C22⋊Q8—591no—
928C2×C22⋊Q8C2×D5911yescharacteristic, complemented
929C2×#121—591no—
930C2×#121—591no—
931C2×#121—591no—
932C2×#121—591no—
933C2×#121—591no—
934C2×#121—591no—
935C2×#121—591no—
936C2×#121—591no—
937C2×#121—591no—
938C2×#121—591no—
939C2×#121—591no—
940C2×#121—591no—
941C2×#121—591no—
942C2×#121—591no—
943C2×#121—591no—
944C2×#121C2×D5911yescharacteristic
945C2×#120—591no—
946C2×#120—591no—
947C2×#120—591no—
948C2×#120—591no—
949C2×C4×D4—591no—
950C2×C4×D4—591no—
951C2×C4×D4—591no—
952C2×C4×D4—591no—
953C22×C4⋊C4—591no—
954C22×C4⋊C4—591no—
955C22×C22⋊C4—591no—
956C22×C22⋊C4—591no—
957#400—591no—
958#400—591no—
959#399—591no—
960#399C2×D5911yescharacteristic, complemented
961#398—591no—
962#398—591no—
963#398—591no—
964#398—591no—
965#398—591no—
966#398—591no—
967#397—591no—
968#397—591no—
969#397—591no—
970#397—591no—
971#397—591no—
972#397—591no—
973#396—591no—
974#396—591no—
975#396—591no—
976#396—591no—
977#396—591no—
978#396—591no—
979#396—591no—
980#396C2×D5911yescharacteristic, complemented
981#395—591no—
982#395C2×D5911yescharacteristic, complemented
983#394—591no—
984#394—591no—
985#394—591no—
986#394—591no—
987#394—591no—
988#394—591no—
989#394—591no—
990#394—591no—
991#394—591no—
992#394—591no—
993#394—591no—
994#394C2×D5911yescharacteristic
995#394C2×D5911yescharacteristic
996#394C2×D5911yescharacteristic, complemented
997#393—591no—
998#393—591no—
999#392—591no—
1000#392—591no—
1001#392—591no—
1002#392—591no—
1003#392—591no—
1004#392—591no—
1005#391—591no—
1006#391—591no—
1007#390—591no—
1008#390—591no—
1009#389—591no—
1010#389—591no—
1011#389—591no—
1012#389C2×D5911yescharacteristic, complemented
1013#388—591no—
1014#388—591no—
1015#388—591no—
1016#388C2×D5911yescharacteristic, complemented
1017#387—591no—
1018#387—591no—
1019#387—591no—
1020#387—591no—
1021#386—591no—
1022#386—591no—
1023#386—591no—
1024#386—591no—
1025#386—591no—
1026#386—591no—
1027#386—591no—
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#386C2×D5911yescharacteristic, complemented
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#385C2×D5911yescharacteristic
1053#380—591no—
1054#380—591no—
1055#380—591no—
1056#380—591no—
1057#380—591no—
1058#380—591no—
1059#380—591no—
1060#380—591no—
1061#380—591no—
1062#380—591no—
1063#380—591no—
1064#380C2×D5911yescharacteristic
1065C2×#95—591no—
1066C2×#95—591no—
1067C59#3673811yescharacteristic, complemented, Sylow
1068C25—591no—
1069C22×Q8—591no—
1070C22×Q8C22×D5911yescharacteristic
1071C22×D4—591no—
1072C22×D4—591no—
1073C22×D4—591no—
1074C22×D4—591no—
1075C22×D4—591no—
1076C22×D4—591no—
1077C22×D4—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×D4C22×D5911yescharacteristic
1087C22×D4C22×D5911yescharacteristic
1088C22×D4C22×D5911yescharacteristic
1089C23×C4—591no—
1090C23×C4—591no—
1091C23×C4—591no—
1092C23×C4—591no—
1093C23×C4—591no—
1094C23×C4—591no—
1095C23×C4—591no—
1096C23×C4—591no—
1097C23×C4—591no—
1098C23×C4—591no—
1099C23×C4—591no—
1100C23×C4—591no—
1101C23×C4—2362no—
1102C23×C4—2362no—
1103C23×C4—2362no—
1104C23×C4C22×D5911yescharacteristic
1105C23×C4C22×D5911yescharacteristic
1106#126—1184no—
1107#126—1184no—
1108#126—1184no—
1109#126—1184no—
1110#124—24no—
1111#124—1184no—
1112#124—1184no—
1113#124—1184no—
1114#123—24no—
1115#123—1184no—
1116#123—1184no—
1117#123—1184no—
1118C22⋊Q8—42no—
1119C22⋊Q8—1184no—
1120C22⋊Q8—1184no—
1121C22⋊Q8—2362no—
1122#121—42no—
1123#121—1184no—
1124#121—1184no—
1125#121—1184no—
1126#121—1184no—
1127#121—1184no—
1128#121—1184no—
1129#121—2362no—
1130#121—2362no—
1131#121—2362no—
1132#121—2362no—
1133#121—2362no—
1134#121—2362no—
1135#121—2362no—
1136#121—2362no—
1137#121—2362no—
1138#120—1184no—
1139#120—1184no—
1140#120—1184no—
1141#120—1184no—
1142C4×D4—1184no—
1143C4×D4—1184no—
1144C4×D4—1184no—
1145C4×D4—1184no—
1146C2×C4⋊C4—591no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
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—591no—
1169C2×C4⋊C4—2362no—
1170C2×C4⋊C4—2362no—
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×C4⋊C4C22×D5911yescharacteristic
1179C2×C4⋊C4C22×D5911yescharacteristic
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—598no—
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—2362no—
1221C2×C22⋊C4C22×D5911yescharacteristic
1222C2×C22⋊C4C22×D5911yescharacteristic
1223C2×C22⋊C4C22×D5911yescharacteristic
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×C42C22×D5911yescharacteristic
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
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#95C22×D5911yescharacteristic
1265#95C22×D5911yescharacteristic
1266#95C22×D5911yescharacteristic
1267#95C22×D5911yescharacteristic
1268#95C22×D5911yescharacteristic
1269#95C22×D5911yescharacteristic
1270C24—591no—
1271C24—591no—
1272C24—594no—
1273C24—591no—
1274C24—591no—
1275C24—1182no—
1276C24—1182no—
1277C24—2361no—
1278C24—2361no—
1279C24—2361no—
1280C24—2361no—
1281C24C23×D5911yescharacteristic
1282C24C23×D5911yescharacteristic
1283C24C23×D5911yescharacteristic
1284C2×Q8—22no—
1285C2×Q8—41no—
1286C2×Q8—41no—
1287C2×Q8—1182no—
1288C2×Q8—2361no—
1289C2×Q8—2361no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—1182no—
1300C2×D4—1182no—
1301C2×D4—1182no—
1302C2×D4—1182no—
1303C2×D4—1182no—
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—1182no—
1319C2×D4—1182no—
1320C2×D4—2361no—
1321C2×D4—2361no—
1322C2×D4—2361no—
1323C2×D4—2361no—
1324C2×D4—2361no—
1325C2×D4—2361no—
1326C2×D4—2361no—
1327C2×D4—2361no—
1328C2×D4—2361no—
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—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—591no—
1351C22×C4—591no—
1352C22×C4—594no—
1353C22×C4—594no—
1354C22×C4—591no—
1355C22×C4—591no—
1356C22×C4—591no—
1357C22×C4—591no—
1358C22×C4—591no—
1359C22×C4—591no—
1360C22×C4—591no—
1361C22×C4—591no—
1362C22×C4—591no—
1363C22×C4—591no—
1364C22×C4—1182no—
1365C22×C4—1182no—
1366C22×C4—1182no—
1367C22×C4—1182no—
1368C22×C4—1182no—
1369C22×C4—1182no—
1370C22×C4—1182no—
1371C22×C4—1182no—
1372C22×C4—1182no—
1373C22×C4—1182no—
1374C22×C4—1182no—
1375C22×C4—2361no—
1376C22×C4—2361no—
1377C22×C4—2361no—
1378C22×C4—2361no—
1379C22×C4—2361no—
1380C22×C4—2361no—
1381C22×C4—2361no—
1382C22×C4—2361no—
1383C22×C4—2361no—
1384C22×C4—2361no—
1385C22×C4—2361no—
1386C22×C4—2361no—
1387C22×C4—2361no—
1388C22×C4—2361no—
1389C22×C4—2361no—
1390C22×C4—2361no—
1391C22×C4—2361no—
1392C22×C4—2361no—
1393C22×C4—23616no—
1394C22×C4—2361no—
1395C22×C4—2361no—
1396C22×C4—2361no—
1397C22×C4—2361no—
1398C22×C4—2361no—
1399C22×C4C23×D5911yescharacteristic
1400C22×C4C23×D5911yescharacteristic
1401C22×C4C23×D5911yescharacteristic
1402C22×C4C23×D5911yescharacteristic
1403C22×C4C23×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405C22×C4C23×D5911yescharacteristic
1406C22×C4C23×D5911yescharacteristic
1407C22×C4C23×D5911yescharacteristic
1408C22×C4C23×D5911yescharacteristic
1409C22×C4C23×D5911yescharacteristic
1410C22×C4C23×D5911yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—1182no—
1421C4⋊C4—1182no—
1422C4⋊C4—1182no—
1423C4⋊C4—1182no—
1424C4⋊C4—1182no—
1425C4⋊C4—1182no—
1426C4⋊C4—1182no—
1427C4⋊C4—1182no—
1428C4⋊C4—1182no—
1429C4⋊C4—1182no—
1430C4⋊C4—1182no—
1431C4⋊C4—1182no—
1432C4⋊C4—1182no—
1433C4⋊C4—2361no—
1434C4⋊C4—2361no—
1435C4⋊C4—2361no—
1436C4⋊C4—2361no—
1437C4⋊C4—2361no—
1438C4⋊C4—2361no—
1439C4⋊C4—2361no—
1440C4⋊C4—2361no—
1441C4⋊C4—2361no—
1442C4⋊C4—2361no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—594no—
1456C22⋊C4—594no—
1457C22⋊C4—594no—
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—2361no—
1476C22⋊C4—2361no—
1477C22⋊C4—2361no—
1478C22⋊C4—2361no—
1479C22⋊C4—2361no—
1480C22⋊C4—2361no—
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⋊C4D4×D5914yes—
1495C42—22no—
1496C42—1182no—
1497C42—1182no—
1498C42—1182no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—592no—
1520C23—592no—
1521C23—592no—
1522C23—592no—
1523C23—1188no—
1524C23—1181no—
1525C23—1181no—
1526C23—1181no—
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—2364no—
1549C23—2364no—
1550C23—2364no—
1551C23—2364no—
1552C23—2364no—
1553C23—2364no—
1554C23C2×D4×D5912yes—
1555C23C24×D5911yescharacteristic
1556Q8—82no—
1557Q8—4722no—
1558D4—82no—
1559D4—82no—
1560D4—82no—
1561D4—4722no—
1562D4—4722no—
1563D4—4722no—
1564D4—4722no—
1565D4—4722no—
1566D4—4722no—
1567D4—4722no—
1568D4—4722no—
1569D4—4722no—
1570D4—4722no—
1571D4—4722no—
1572D4—2364no—
1573D4—2364no—
1574D4—2364no—
1575D4—2364no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
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—44no—
1609C2×C4—82no—
1610C2×C4—592no—
1611C2×C4—592no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—1181no—
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—4722no—
1647C2×C4—4722no—
1648C2×C4—4722no—
1649C2×C4—4722no—
1650C2×C4—4722no—
1651C2×C4—2364no—
1652C2×C4—2364no—
1653C2×C4—2364no—
1654C2×C4—2364no—
1655C2×C4—2364no—
1656C2×C4—2364no—
1657C2×C4—2364no—
1658C2×C4C2×D4×D5912yes—
1659C2×C4C2×D4×D5912yes—
1660C2×C4#1427377212yes—
1661C2×C4#1427377312yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—594no—
1684C22—1182no—
1685C22—1182no—
1686C22—1182no—
1687C22—1182no—
1688C22—1182no—
1689C22—1182no—
1690C22—1182no—
1691C22—1182no—
1692C22—1182no—
1693C22—23616no—
1694C22—2361no—
1695C22—2361no—
1696C22—2361no—
1697C22—2361no—
1698C22—2361no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22—2361no—
1708C22—2361no—
1709C22—2361no—
1710C22—2361no—
1711C22—2361no—
1712C22C22×D4×D5911yescharacteristic
1713C22H(5,𝔽2)×D5911yescharacteristic
1714C22C2×#1427377211yescharacteristic
1715C22C2×#1427377311yescharacteristic
1716C222−1+4×D5911yescharacteristic
1717C22#1683823711yescharacteristic
1718C22#1683823911yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—1182no—
1732C4—1182no—
1733C4—2361no—
1734C4—2361no—
1735C4—2361no—
1736C4—2361no—
1737C4—2361no—
1738C4—2361no—
1739C4—2361no—
1740C4—2361no—
1741C4—2361no—
1742C4—2361no—
1743C2—42no—
1744C2—81no—
1745C2—81no—
1746C2—1184no—
1747C2—4721no—
1748C2—4721no—
1749C2—2362no—
1750C2#537×D5911yescharacteristic
1751C2#2143785211yescharacteristic
1752C2#2143785411yescharacteristic
1753C2#2143824511yescharacteristic
1754C2#2143825811yescharacteristic
1755C2#2143838511yescharacteristic
1756C2#2143839111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2672C2
hypercenter#2672D59
hypocenterC59#36738
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#16837988C2semidirect
2. C2×#16837986C2semidirect
3. #21432379C2semidirect
4. #21432375C2semidirect
5. #21431001C2semidirect
6. #21430911C2semidirect
7. #21430909C2semidirect
8. #21430862C2semidirect
9. #21430638C2semidirect
10. #21430632C2semidirect
11. #21430601C2semidirect
12. #21430576C2semidirect
13. #21430570C2semidirect
14. #21430404C2semidirect
15. #21430393C2semidirect
16. #21430386C2semidirect
17. #21430350C2semidirect
18. #21430337C2semidirect
19. #21430330C2semidirect
20. #21429835C2semidirect
21. #21429835C2semidirect
22. #21429277C2semidirect
23. #21429271C2semidirect
24. #21429061C2semidirect
25. #21429055C2semidirect
26. #21427545C2semidirect
27. #21427543C2semidirect
28. #21427531C2semidirect
29. #21427529C2semidirect
30. #385×D59C2semidirect
31. C59×#2672C2semidirect
46. C2×#14273707C22semidirect
57. C2×#14273700C22semidirect
59. C2×#14273699C22semidirect
75. #16837341C22semidirect
76. #16837340C22semidirect
77. #16837339C22semidirect
78. #16837336C22semidirect
79. #16837335C22semidirect
80. #16837334C22semidirect
81. #16837334C22semidirect
82. #16837333C22semidirect
83. #16837333C22semidirect
86. #16837331C22semidirect
89. #16837330C22semidirect
90. #16837325C22semidirect
91. #16837325C22semidirect
92. #16837325C22semidirect
93. #16837324C22semidirect
94. #16837324C22semidirect
95. #16837324C22semidirect
96. #16837324C22semidirect
97. #16837323C22semidirect
100. #16837319C22semidirect
105. #16837318C22semidirect
106. #16837318C22semidirect
107. #16837318C22semidirect
108. #16837317C22semidirect
109. #16837314C22semidirect
110. #16837313C22semidirect
113. #16837311C22semidirect
116. #16837310C22semidirect
117. #16837309C22semidirect
118. #16837308C22semidirect
119. #16837302C22semidirect
120. #16837302C22semidirect
121. #16837301C22semidirect
122. #16837299C22semidirect
123. #16837297C22semidirect
124. #16837294C22semidirect
125. #16837293C22semidirect
126. #16837290C22semidirect
127. #16837288C22semidirect
128. #16837288C22semidirect
129. #16837285C22semidirect
130. #16837285C22semidirect
133. #16837281C22semidirect
140. #16837280C22semidirect
149. #16837278C22semidirect
151. #16837277C22semidirect
152. #16837277C22semidirect
159. #16837273C22semidirect
160. #16837273C22semidirect
162. #16837262C22semidirect
163. #16837261C22semidirect
164. #16837260C22semidirect
171. #16837259C22semidirect
176. C2×C22⋊Q8×C59C22semidirect
178. C59×#399C22semidirect
179. C59×#396C22semidirect
180. C59×#395C22semidirect
183. C59×#394C22semidirect
184. C59×#389C22semidirect
185. C59×#388C22semidirect
186. C59×#386C22semidirect
322. C22⋊C4×D59D4semidirect
882. #2672D59semidirect
928. C2×C22⋊Q8C2×D59semidirect
960. #399C2×D59semidirect
980. #396C2×D59semidirect
982. #395C2×D59semidirect
996. #394C2×D59semidirect
1012. #389C2×D59semidirect
1016. #388C2×D59semidirect
1040. #386C2×D59semidirect
1067. C59#36738semidirect

Maximal subgroups

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

subgroupindex
C2×#168379882
C2×#168379862
#214323792
#214323752
#214310012
#214309112
#214309092
#214308622
#214306382
#214306322
#214306012
#214305762
#214305702
#214304042
#214303932
#214303862
#214303502
#214303372
#214303302
#214298352
#214292772
#214292712
#214290612
#214290552
#214275452
#214275432
#214275312
#214275292
#385×D592
C59×#26722
#3673859