Finite Group Databasebeta

← #28796194

Subgroups — #28796194

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×#16838007C211yesmaximal, characteristic, complemented
2C2×#16837991C211yesmaximal, characteristic, complemented
3#21432440C211yesmaximal, characteristic, complemented
4#21432429C211yesmaximal, characteristic, complemented
5#21430992C211yesmaximal, characteristic, complemented
6#21430893C211yesmaximal, characteristic, complemented
7#21430617C211yesmaximal, characteristic, complemented
8#21430453C211yesmaximal, characteristic, complemented
9#21430437C211yesmaximal, characteristic, complemented
10#21430426C211yesmaximal, characteristic, complemented
11#21430404C211yesmaximal, characteristic, complemented
12#21430389C211yesmaximal, characteristic, complemented
13#21430365C211yesmaximal, characteristic, complemented
14#21430359C211yesmaximal, characteristic, complemented
15#21430354C211yesmaximal, characteristic, complemented
16#21430339C211yesmaximal, characteristic, complemented
17#21430335C211yesmaximal, characteristic, complemented
18#21430312C211yesmaximal, characteristic, complemented
19#21430311C211yesmaximal, characteristic, complemented
20#21430302C211yesmaximal, characteristic, complemented
21#21430228C211yesmaximal, characteristic, complemented
22#21430228C211yesmaximal, characteristic, complemented
23#21429783C211yesmaximal, characteristic, complemented
24#21429725C211yesmaximal, characteristic, complemented
25#21429707C211yesmaximal, characteristic, complemented
26#21429030C211yesmaximal, characteristic, complemented
27#21429025C211yesmaximal, characteristic, complemented
28#21427513C211yesmaximal, characteristic, complemented
29#21427480C211yesmaximal, characteristic, complemented
30#21426537C211yesmaximal, characteristic, complemented
31C59×#2601C211yesmaximal, characteristic, complemented
32#16838007—28no—
33#16837991—28no—
34C2×#14273724C2211yescharacteristic
35C2×#14273723C2211yescharacteristic
36C2×#14273722C2211yescharacteristic
37C2×#14273719C2211yescharacteristic, complemented
38C2×#14273715C2211yescharacteristic
39C2×#14273713C2211yescharacteristic
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic
42C2×#14273712C2211yescharacteristic
43C2×#14273712C2211yescharacteristic
44C2×#14273712C2211yescharacteristic, complemented
45C2×#14273712C2211yescharacteristic, complemented
46C2×#14273709C2211yescharacteristic
47C2×#14273709C2211yescharacteristic
48C2×#14273707C2211yescharacteristic, complemented
49C2×#14273707C2211yescharacteristic, complemented
50C2×#14273705C2211yescharacteristic
51C2×#14273702C2211yescharacteristic
52C2×#14273702C2211yescharacteristic
53C2×#14273702C2211yescharacteristic
54C2×#14273702C2211yescharacteristic
55C2×#14273702C2211yescharacteristic
56C2×#14273702C2211yescharacteristic, complemented
57C2×#14273701C2211yescharacteristic
58C2×#14273701C2211yescharacteristic, complemented
59C2×#14273700C2211yescharacteristic
60C2×#14273700C2211yescharacteristic
61C2×#14273700C2211yescharacteristic
62C2×#14273700C2211yescharacteristic
63C2×#14273700C2211yescharacteristic, complemented
64C2×#14273700C2211yescharacteristic, complemented
65C2×#14273700C2211yescharacteristic, complemented
66C2×#14273700C2211yescharacteristic, complemented
67C2×#14273698C2211yescharacteristic
68C2×#14273697C2211yescharacteristic
69C2×#14273697C2211yescharacteristic
70C2×#14273697C2211yescharacteristic
71C2×#14273697C2211yescharacteristic
72C2×#14273695C2211yescharacteristic
73C2×C4×D236C2211yescharacteristic
74C2×C4×D236C2211yescharacteristic, complemented
75C2×#14273689C2211yescharacteristic
76C2×#14273684C2211yescharacteristic
77C2×C22⋊C4×D59C2211yescharacteristic
78C2×C42×D59C2211yescharacteristic, complemented
79#16837339C2211yescharacteristic
80#16837339C2211yescharacteristic, complemented
81#16837338C2211yescharacteristic
82#16837337C2211yescharacteristic
83#16837336C2211yescharacteristic, complemented
84#16837336C2211yescharacteristic, complemented
85#16837332C2211yescharacteristic, complemented
86#16837331C2211yescharacteristic
87#16837331C2211yescharacteristic, complemented
88#16837329C2211yescharacteristic
89#16837327C2211yescharacteristic
90#16837326C2211yescharacteristic
91#16837325C2211yescharacteristic
92#16837322C2211yescharacteristic, complemented
93#16837320C2211yescharacteristic
94#16837320C2211yescharacteristic
95#16837320C2211yescharacteristic, complemented
96#16837320C2211yescharacteristic, complemented
97#16837319C2211yescharacteristic
98#16837319C2211yescharacteristic
99#16837319C2211yescharacteristic
100#16837319C2211yescharacteristic, complemented
101#16837318C2211yescharacteristic
102#16837318C2211yescharacteristic
103#16837318C2211yescharacteristic, complemented
104#16837317C2211yescharacteristic
105#16837317C2211yescharacteristic
106#16837317C2211yescharacteristic, complemented
107#16837314C2211yescharacteristic, complemented
108#16837312C2211yescharacteristic
109#16837312C2211yescharacteristic
110#16837312C2211yescharacteristic
111#16837312C2211yescharacteristic
112#16837312C2211yescharacteristic, complemented
113#16837312C2211yescharacteristic, complemented
114#16837311C2211yescharacteristic
115#16837311C2211yescharacteristic
116#16837311C2211yescharacteristic
117#16837311C2211yescharacteristic
118#16837311C2211yescharacteristic
119#16837311C2211yescharacteristic
120#16837311C2211yescharacteristic
121#16837311C2211yescharacteristic
122#16837310C2211yescharacteristic
123#16837304C2211yescharacteristic
124#16837304C2211yescharacteristic
125#16837304C2211yescharacteristic, complemented
126#16837304C2211yescharacteristic, complemented
127#16837303C2211yescharacteristic
128#16837302C2211yescharacteristic
129#16837302C2211yescharacteristic
130#16837302C2211yescharacteristic
131#16837302C2211yescharacteristic
132#16837302C2211yescharacteristic, complemented
133#16837302C2211yescharacteristic, complemented
134#16837302C2211yescharacteristic, complemented
135#16837299C2211yescharacteristic, complemented
136#16837298C2211yescharacteristic, complemented
137#16837293C2211yescharacteristic
138#16837293C2211yescharacteristic, complemented
139#16837292C2211yescharacteristic
140#16837292C2211yescharacteristic
141#16837292C2211yescharacteristic
142#16837292C2211yescharacteristic, complemented
143#16837292C2211yescharacteristic, complemented
144#16837292C2211yescharacteristic, complemented
145#16837292C2211yescharacteristic, complemented
146#16837291C2211yescharacteristic
147#16837291C2211yescharacteristic, complemented
148#16837285C2211yescharacteristic, complemented
149#16837285C2211yescharacteristic, complemented
150#16837285C2211yescharacteristic, complemented
151#16837281C2211yescharacteristic
152#16837281C2211yescharacteristic, complemented
153#16837280C2211yescharacteristic
154#16837280C2211yescharacteristic
155#16837280C2211yescharacteristic
156#16837280C2211yescharacteristic
157#16837280C2211yescharacteristic, complemented
158#16837280C2211yescharacteristic, complemented
159#16837278C2211yescharacteristic
160#16837278C2211yescharacteristic
161#16837276C2211yescharacteristic
162#16837273C2211yescharacteristic, complemented
163#16837273C2211yescharacteristic, complemented
164#16837273C2211yescharacteristic, complemented
165#16837273C2211yescharacteristic, complemented
166#16837273C2211yescharacteristic, complemented
167#16837271C2211yescharacteristic, complemented
168#16837261C2211yescharacteristic, complemented
169#16837259C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic
171C4×(C2×D59)⋊C4C2211yescharacteristic
172C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
173#16837248C2211yescharacteristic, complemented
174C2×#126×C59C2211yescharacteristic
175C2×#117×C59C2211yescharacteristic, complemented
176C59×#398C2211yescharacteristic, complemented
177C59×#396C2211yescharacteristic
178C59×#396C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic
180C59×#390C2211yescharacteristic
181C59×#389C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic
183C59×#388C2211yescharacteristic
184C59×#388C2211yescharacteristic, complemented
185C59×#387C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic
187C59×#385C2211yescharacteristic, complemented
188C4×C4⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
203C22×D236C2311yescharacteristic
204C22×D236C2311yescharacteristic
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×C22⋊D59C2311yescharacteristic
214C22×C22⋊D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223#14273724—24no—
224#14273723—42no—
225#14273722—24no—
226#14273719—24no—
227#14273715—24no—
228#14273713—24no—
229#14273712—24no—
230#14273712—24no—
231#14273712—24no—
232#14273712—24no—
233#14273712—24no—
234#14273712—42no—
235#14273709—24no—
236#14273709—42no—
237#14273707—42no—
238#14273707—42no—
239#14273705—24no—
240#14273702—24no—
241#14273702—24no—
242#14273702—42no—
243#14273702—42no—
244#14273702—42no—
245#14273702—42no—
246#14273701—24no—
247#14273701—24no—
248#14273700—24no—
249#14273700—24no—
250#14273700—24no—
251#14273700—24no—
252#14273700—24no—
253#14273700—42no—
254#14273700—42no—
255#14273700—42no—
256#14273698—42no—
257#14273697—24no—
258#14273697—24no—
259#14273697—42no—
260#14273697—42no—
261#14273695—42no—
262C4×D236—24no—
263C4×D236D418yescomplemented
264#14273689—24no—
265#14273684—42no—
266C2×C4⋊Dic59C2311yescharacteristic
267C2×C4⋊Dic59C2311yescharacteristic
268C2×C4⋊Dic59C2311yescharacteristic
269C2×C4⋊Dic59C2311yescharacteristic
270C2×C4⋊Dic59C2311yescharacteristic
271C2×C4⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
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
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
330C2×(C2×D59)⋊C4C2311yescharacteristic
331C22⋊C4×D59—24no—
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
355C23×C4×C59C2311yescharacteristic
356#126×C59—24no—
357#117×C59—24no—
358C2×C4⋊C4×C59C2311yescharacteristic
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×C22⋊C4×C59C2311yescharacteristic
379C2×C42×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
393C23×D59—22no—
394C23×D59—41no—
395C23×D59—41no—
396C23×D59—41no—
397C23×D59—41no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59C2411yescharacteristic
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C23×D59C2411yescharacteristic
405C23×D59C2411yescharacteristic
406C2×D4×C59—22no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C22×C4×C59—22no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59—41no—
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C2×D236—22no—
466C2×D236—22no—
467C2×D236—22no—
468C2×D236—22no—
469C2×D236—22no—
470C2×D236—22no—
471C2×D236—22no—
472C2×D236—22no—
473C2×D236—22no—
474C2×D236—22no—
475C2×D236—22no—
476C2×D236—41no—
477C2×D236—41no—
478C2×D236—41no—
479C2×D236—41no—
480C2×D236—41no—
481C2×D236—41no—
482C2×D236—41no—
483C2×D236—41no—
484C2×D236—41no—
485C2×D236—41no—
486C2×D236—41no—
487C2×D236—41no—
488C2×D236—41no—
489C2×D236—41no—
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×D236C2×D414yes—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—22no—
510C2×C4×D59—22no—
511C2×C4×D59—22no—
512C2×C4×D59—22no—
513C2×C4×D59—22no—
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×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—22no—
539C4⋊C4×C59—22no—
540C4⋊C4×C59—22no—
541C4⋊C4×C59—22no—
542C4⋊C4×C59—41no—
543C4⋊C4×C59—41no—
544C22⋊C4×C59—22no—
545C22⋊C4×C59—22no—
546C22⋊C4×C59—22no—
547C22⋊C4×C59—22no—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—22no—
550C22⋊C4×C59—22no—
551C22⋊C4×C59—41no—
552C22⋊C4×C59—41no—
553C22⋊C4×C59—41no—
554C22⋊C4×C59—41no—
555C42×C59—22no—
556C42×C59—41no—
557C42×C59—41no—
558C42×C59C2×D414yes—
559C22⋊Dic59—22no—
560C22⋊Dic59—41no—
561C22⋊Dic59—41no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
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—22no—
585(C2×D59)⋊C4—22no—
586(C2×D59)⋊C4—22no—
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)⋊C4—41no—
600(C2×D59)⋊C4—41no—
601(C2×D59)⋊C4—41no—
602(C2×D59)⋊C4—41no—
603(C2×D59)⋊C4—41no—
604(C2×D59)⋊C4C2×D414yes—
605(C2×D59)⋊C4C2×D414yes—
606C4⋊Dic59—22no—
607C4⋊Dic59—22no—
608C4⋊Dic59—22no—
609C4⋊Dic59—41no—
610C4⋊Dic59—41no—
611C4⋊Dic59C2×D414yes—
612Dic59⋊C4—22no—
613Dic59⋊C4—22no—
614Dic59⋊C4—22no—
615Dic59⋊C4—22no—
616Dic59⋊C4—22no—
617Dic59⋊C4—22no—
618Dic59⋊C4—22no—
619Dic59⋊C4—41no—
620Dic59⋊C4—41no—
621Dic59⋊C4—41no—
622Dic59⋊C4—41no—
623Dic59⋊C4—41no—
624C4×Dic59—22no—
625C4×Dic59—22no—
626C4×Dic59—22no—
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×C59C2511yescharacteristic
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—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—82no—
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—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—44no—
729C2×C4×C59C22×D412yes—
730C2×C4×C59C22×D412yes—
731C2×C4×C59C22×D412yes—
732C2×C4×C59H(5,𝔽2)12yes—
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—
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—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59C22×D412yes—
772C2×Dic59C22×D412yes—
773C2×Dic59H(5,𝔽2)12yes—
774D236—44no—
775D236—44no—
776D236—44no—
777D236—82no—
778D236—82no—
779D236—82no—
780D236—82no—
781D236—82no—
782D236—82no—
783D236—82no—
784D236—82no—
785D236—82no—
786D236—82no—
787D236—82no—
788C4×D59—44no—
789C4×D59—44no—
790C4×D59—44no—
791C4×D59—44no—
792C4×D59—82no—
793C4×D59—82no—
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×C59C23×D411yescharacteristic
813C22×C59C2×H(5,𝔽2)11yescharacteristic
814C22×C59C2×H(5,𝔽2)11yescharacteristic
815C22×C59C2×H(5,𝔽2)11yescharacteristic
816C22×C59#58511yescharacteristic
817C22×C59#58511yescharacteristic
818C22×C59#58511yescharacteristic
819C2×D59—22no—
820C2×D59—22no—
821C2×D59—22no—
822C2×D59—22no—
823C2×D59—22no—
824C2×D59—22no—
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—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—22no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59—41no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
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#2603—591no—
909#2602—591no—
910#2601D5911yescharacteristic, complemented
911#2540—591no—
912#2539—591no—
913#2414—591no—
914#2411—591no—
915#2290—591no—
916C2×C59—81no—
917C2×C59—81no—
918C2×C59#344911yescharacteristic
919C2×C59#349611yescharacteristic
920C2×C59#349811yescharacteristic
921C2×C59#353411yescharacteristic
922C2×C59#354211yescharacteristic
923C2×C59#355111yescharacteristic
924C2×C59#356211yescharacteristic
925D59—42no—
926D59—42no—
927D59—81no—
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×D4—591no—
976C2×#117—591no—
977C2×#117C2×D5911yescharacteristic, complemented
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#397—591no—
992#396—591no—
993#396—591no—
994#396C2×D5911yescharacteristic
995#396C2×D5911yescharacteristic, complemented
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
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#392—591no—
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#390—591no—
1040#390C2×D5911yescharacteristic
1041#389—591no—
1042#389—591no—
1043#389C2×D5911yescharacteristic, complemented
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#388C2×D5911yescharacteristic
1056#388C2×D5911yescharacteristic
1057#388C2×D5911yescharacteristic, complemented
1058#387—591no—
1059#387—591no—
1060#387—591no—
1061#387C2×D5911yescharacteristic, complemented
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#386—591no—
1072#386C2×D5911yescharacteristic
1073#385—591no—
1074#385—591no—
1075#385—591no—
1076#385—591no—
1077#385—591no—
1078#385—591no—
1079#385C2×D5911yescharacteristic, complemented
1080#384—591no—
1081#380—591no—
1082#380—591no—
1083#379—591no—
1084C4×C4⋊C4C2×D5911yescharacteristic, complemented
1085C4×C22⋊C4—591no—
1086C4×C22⋊C4—591no—
1087#376—591no—
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×D4—591no—
1114C22×D4—591no—
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×C4—591no—
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—598no—
1166C4×D4—1184no—
1167C4×D4—1184no—
1168#117—24no—
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⋊C4C22×D5911yescharacteristic
1189C2×C4⋊C4C22×D5911yescharacteristic
1190C2×C4⋊C4C22×D5911yescharacteristic
1191C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1244C2×C22⋊C4—591no—
1245C2×C22⋊C4—1184no—
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—2362no—
1263C2×C42C22×D5911yescharacteristic
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—591no—
1297C24—1182no—
1298C24—2361no—
1299C24—2361no—
1300C24—2361no—
1301C24—2361no—
1302C24—2361no—
1303C24—2361no—
1304C24C23×D5911yescharacteristic
1305C24C23×D5911yescharacteristic
1306C2×Q8—1182no—
1307C2×Q8—2361no—
1308C2×Q8—2361no—
1309C2×D4—22no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—594no—
1313C2×D4—1182no—
1314C2×D4—1182no—
1315C2×D4—1182no—
1316C2×D4—1182no—
1317C2×D4—1182no—
1318C2×D4—1182no—
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—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—
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—41no—
1386C22×C4—41no—
1387C22×C4—591no—
1388C22×C4—591no—
1389C22×C4—591no—
1390C22×C4—594no—
1391C22×C4—594no—
1392C22×C4—591no—
1393C22×C4—591no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—1182no—
1400C22×C4—1182no—
1401C22×C4—1182no—
1402C22×C4—1182no—
1403C22×C4—1182no—
1404C22×C4—1182no—
1405C22×C4—1182no—
1406C22×C4—2361no—
1407C22×C4—2361no—
1408C22×C4—2361no—
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×C4C23×D5911yescharacteristic
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—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—41no—
1443C4⋊C4—41no—
1444C4⋊C4—594no—
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—22no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—594no—
1474C22⋊C4—594no—
1475C22⋊C4—1182no—
1476C22⋊C4—1182no—
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—2361no—
1500C22⋊C4—2361no—
1501C22⋊C4—2361no—
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—41no—
1523C42—1182no—
1524C42—1182no—
1525C42—1182no—
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—592no—
1544C23—592no—
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—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—82no—
1595D4—4722no—
1596D4—4722no—
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—2364no—
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—21no—
1652C2×C4—21no—
1653C2×C4—44no—
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—4722no—
1685C2×C4—4722no—
1686C2×C4—4722no—
1687C2×C4—4722no—
1688C2×C4—2364no—
1689C2×C4—2364no—
1690C2×C4—2364no—
1691C2×C4—2364no—
1692C2×C4C2×D4×D5912yes—
1693C2×C4C2×D4×D5912yes—
1694C2×C4C2×D4×D5912yes—
1695C2×C4#1427377312yes—
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—1182no—
1712C22—1182no—
1713C22—1182no—
1714C22—1182no—
1715C22—1182no—
1716C22—1182no—
1717C22—4728no—
1718C22—2361no—
1719C22—2361no—
1720C22—2361no—
1721C22—2361no—
1722C22—2361no—
1723C22—2361no—
1724C22—2361no—
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
1756C22C2×#1427377311yescharacteristic
1757C22C2×#1427377311yescharacteristic
1758C22#1683823811yescharacteristic
1759C22#1683823811yescharacteristic
1760C22#1683823911yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
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—4721no—
1787C2—4721no—
1788C2—4721no—
1789C2—4721no—
1790C2—2362no—
1791C2—2362no—
1792C2#2143742611yescharacteristic
1793C2#2143785911yescharacteristic
1794C2#2143786911yescharacteristic
1795C2#2143827311yescharacteristic
1796C2#2143840511yescharacteristic
1797C2#2143852411yescharacteristic
1798C2#2143869111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2601C2
hypercenter#2601D59
hypocenterC59#36744
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×#16838007C2semidirect
2. C2×#16837991C2semidirect
3. #21432440C2semidirect
4. #21432429C2semidirect
5. #21430992C2semidirect
6. #21430893C2semidirect
7. #21430617C2semidirect
8. #21430453C2semidirect
9. #21430437C2semidirect
10. #21430426C2semidirect
11. #21430404C2semidirect
12. #21430389C2semidirect
13. #21430365C2semidirect
14. #21430359C2semidirect
15. #21430354C2semidirect
16. #21430339C2semidirect
17. #21430335C2semidirect
18. #21430312C2semidirect
19. #21430311C2semidirect
20. #21430302C2semidirect
21. #21430228C2semidirect
22. #21430228C2semidirect
23. #21429783C2semidirect
24. #21429725C2semidirect
25. #21429707C2semidirect
26. #21429030C2semidirect
27. #21429025C2semidirect
28. #21427513C2semidirect
29. #21427480C2semidirect
30. #21426537C2semidirect
31. C59×#2601C2semidirect
37. C2×#14273719C22semidirect
44. C2×#14273712C22semidirect
45. C2×#14273712C22semidirect
48. C2×#14273707C22semidirect
49. C2×#14273707C22semidirect
56. C2×#14273702C22semidirect
58. C2×#14273701C22semidirect
63. C2×#14273700C22semidirect
64. C2×#14273700C22semidirect
65. C2×#14273700C22semidirect
66. C2×#14273700C22semidirect
74. C2×C4×D236C22semidirect
78. C2×C42×D59C22semidirect
80. #16837339C22semidirect
83. #16837336C22semidirect
84. #16837336C22semidirect
85. #16837332C22semidirect
87. #16837331C22semidirect
92. #16837322C22semidirect
95. #16837320C22semidirect
96. #16837320C22semidirect
100. #16837319C22semidirect
103. #16837318C22semidirect
106. #16837317C22semidirect
107. #16837314C22semidirect
112. #16837312C22semidirect
113. #16837312C22semidirect
125. #16837304C22semidirect
126. #16837304C22semidirect
132. #16837302C22semidirect
133. #16837302C22semidirect
134. #16837302C22semidirect
135. #16837299C22semidirect
136. #16837298C22semidirect
138. #16837293C22semidirect
142. #16837292C22semidirect
143. #16837292C22semidirect
144. #16837292C22semidirect
145. #16837292C22semidirect
147. #16837291C22semidirect
148. #16837285C22semidirect
149. #16837285C22semidirect
150. #16837285C22semidirect
152. #16837281C22semidirect
157. #16837280C22semidirect
158. #16837280C22semidirect
162. #16837273C22semidirect
163. #16837273C22semidirect
164. #16837273C22semidirect
165. #16837273C22semidirect
166. #16837273C22semidirect
167. #16837271C22semidirect
168. #16837261C22semidirect
169. #16837259C22semidirect
172. C4×(C2×D59)⋊C4C22semidirect
173. #16837248C22semidirect
175. C2×#117×C59C22semidirect
176. C59×#398C22semidirect
178. C59×#396C22semidirect
181. C59×#389C22semidirect
184. C59×#388C22semidirect
185. C59×#387C22semidirect
187. C59×#385C22semidirect
188. C4×C4⋊C4×C59C22semidirect
263. C4×D236D4semidirect
910. #2601D59semidirect
977. C2×#117C2×D59semidirect
987. #398C2×D59semidirect
995. #396C2×D59semidirect
1043. #389C2×D59semidirect
1057. #388C2×D59semidirect
1061. #387C2×D59semidirect
1079. #385C2×D59semidirect
1084. C4×C4⋊C4C2×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×#168380072
C2×#168379912
#214324402
#214324292
#214309922
#214308932
#214306172
#214304532
#214304372
#214304262
#214304042
#214303892
#214303652
#214303592
#214303542
#214303392
#214303352
#214303122
#214303112
#214303022
#214302282
#214297832
#214297252
#214297072
#214290302
#214290252
#214275132
#214274802
#214265372
C59×#26012
#3674459