Finite Group Databasebeta

← #28796200

Subgroups — #28796200

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×#16837985C211yesmaximal, characteristic, complemented
3#21432441C211yesmaximal, characteristic, complemented
4#21432427C211yesmaximal, characteristic, complemented
5#21430989C211yesmaximal, characteristic, complemented
6#21430890C211yesmaximal, characteristic, complemented
7#21430614C211yesmaximal, characteristic, complemented
8#21430446C211yesmaximal, characteristic, complemented
9#21430434C211yesmaximal, characteristic, complemented
10#21430419C211yesmaximal, characteristic, complemented
11#21430400C211yesmaximal, characteristic, complemented
12#21430387C211yesmaximal, characteristic, complemented
13#21430365C211yesmaximal, characteristic, complemented
14#21430360C211yesmaximal, characteristic, complemented
15#21430350C211yesmaximal, characteristic, complemented
16#21430335C211yesmaximal, characteristic, complemented
17#21430330C211yesmaximal, characteristic, complemented
18#21430314C211yesmaximal, characteristic, complemented
19#21430311C211yesmaximal, characteristic, complemented
20#21430302C211yesmaximal, characteristic, complemented
21#21430222C211yesmaximal, characteristic, complemented
22#21430222C211yesmaximal, characteristic, complemented
23#21429777C211yesmaximal, characteristic, complemented
24#21429723C211yesmaximal, characteristic, complemented
25#21429702C211yesmaximal, characteristic, complemented
26#21429687C211yesmaximal, characteristic, complemented
27#21429030C211yesmaximal, characteristic, complemented
28#21429022C211yesmaximal, characteristic, complemented
29#21427508C211yesmaximal, characteristic, complemented
30#21427475C211yesmaximal, characteristic, complemented
31C59×#2290C211yesmaximal, characteristic, complemented
32#16838003—28no—
33#16837985—28no—
34C2×#14273724C2211yescharacteristic
35C2×#14273723C2211yescharacteristic
36C2×#14273722C2211yescharacteristic
37C2×#14273721C2211yescharacteristic
38C2×#14273718C2211yescharacteristic, complemented
39C2×#14273715C2211yescharacteristic
40C2×#14273713C2211yescharacteristic
41C2×#14273712C2211yescharacteristic
42C2×#14273711C2211yescharacteristic
43C2×#14273711C2211yescharacteristic
44C2×#14273710C2211yescharacteristic
45C2×#14273710C2211yescharacteristic
46C2×#14273710C2211yescharacteristic, complemented
47C2×#14273709C2211yescharacteristic
48C2×#14273709C2211yescharacteristic, complemented
49C2×#14273707C2211yescharacteristic, complemented
50C2×#14273707C2211yescharacteristic, complemented
51C2×#14273704C2211yescharacteristic
52C2×#14273702C2211yescharacteristic
53C2×#14273702C2211yescharacteristic
54C2×#14273702C2211yescharacteristic, complemented
55C2×#14273702C2211yescharacteristic, complemented
56C2×#14273701C2211yescharacteristic
57C2×#14273701C2211yescharacteristic
58C2×#14273701C2211yescharacteristic
59C2×#14273701C2211yescharacteristic
60C2×#14273701C2211yescharacteristic
61C2×#14273701C2211yescharacteristic, complemented
62C2×#14273701C2211yescharacteristic, complemented
63C2×#14273701C2211yescharacteristic, complemented
64C2×#14273700C2211yescharacteristic
65C2×#14273700C2211yescharacteristic
66C2×#14273700C2211yescharacteristic, complemented
67C2×#14273699C2211yescharacteristic
68C2×#14273698C2211yescharacteristic
69C2×#14273697C2211yescharacteristic
70C2×#14273697C2211yescharacteristic
71C2×#14273697C2211yescharacteristic
72C2×#14273697C2211yescharacteristic
73C2×#14273695C2211yescharacteristic
74C2×C4×D236C2211yescharacteristic, complemented
75C2×C4×C22⋊D59C2211yescharacteristic
76C2×#14273684C2211yescharacteristic, complemented
77C22×(C2×D59)⋊C4C2211yescharacteristic
78#16837339C2211yescharacteristic
79#16837339C2211yescharacteristic
80#16837339C2211yescharacteristic
81#16837339C2211yescharacteristic, complemented
82#16837334C2211yescharacteristic, complemented
83#16837334C2211yescharacteristic, complemented
84#16837334C2211yescharacteristic, complemented
85#16837332C2211yescharacteristic, complemented
86#16837329C2211yescharacteristic
87#16837329C2211yescharacteristic
88#16837329C2211yescharacteristic, complemented
89#16837327C2211yescharacteristic
90#16837324C2211yescharacteristic
91#16837324C2211yescharacteristic
92#16837324C2211yescharacteristic
93#16837324C2211yescharacteristic, complemented
94#16837323C2211yescharacteristic, complemented
95#16837320C2211yescharacteristic
96#16837320C2211yescharacteristic
97#16837320C2211yescharacteristic, complemented
98#16837320C2211yescharacteristic, complemented
99#16837319C2211yescharacteristic
100#16837319C2211yescharacteristic
101#16837319C2211yescharacteristic
102#16837318C2211yescharacteristic
103#16837318C2211yescharacteristic
104#16837318C2211yescharacteristic
105#16837318C2211yescharacteristic
106#16837318C2211yescharacteristic
107#16837318C2211yescharacteristic, complemented
108#16837318C2211yescharacteristic, complemented
109#16837318C2211yescharacteristic, complemented
110#16837315C2211yescharacteristic, complemented
111#16837312C2211yescharacteristic
112#16837312C2211yescharacteristic
113#16837312C2211yescharacteristic
114#16837312C2211yescharacteristic
115#16837312C2211yescharacteristic
116#16837312C2211yescharacteristic
117#16837312C2211yescharacteristic
118#16837312C2211yescharacteristic, complemented
119#16837311C2211yescharacteristic
120#16837311C2211yescharacteristic
121#16837311C2211yescharacteristic
122#16837311C2211yescharacteristic
123#16837311C2211yescharacteristic
124#16837311C2211yescharacteristic
125#16837311C2211yescharacteristic, complemented
126#16837304C2211yescharacteristic
127#16837304C2211yescharacteristic
128#16837304C2211yescharacteristic
129#16837304C2211yescharacteristic
130#16837304C2211yescharacteristic
131#16837304C2211yescharacteristic
132#16837304C2211yescharacteristic
133#16837304C2211yescharacteristic
134#16837304C2211yescharacteristic, complemented
135#16837304C2211yescharacteristic, complemented
136#16837304C2211yescharacteristic, complemented
137#16837304C2211yescharacteristic, complemented
138#16837303C2211yescharacteristic, complemented
139#16837301C2211yescharacteristic, complemented
140#16837300C2211yescharacteristic, complemented
141#16837300C2211yescharacteristic, complemented
142#16837294C2211yescharacteristic
143#16837294C2211yescharacteristic
144#16837294C2211yescharacteristic, complemented
145#16837294C2211yescharacteristic, complemented
146#16837293C2211yescharacteristic
147#16837293C2211yescharacteristic
148#16837293C2211yescharacteristic
149#16837293C2211yescharacteristic, complemented
150#16837293C2211yescharacteristic, complemented
151#16837293C2211yescharacteristic, complemented
152#16837293C2211yescharacteristic, complemented
153#16837293C2211yescharacteristic, complemented
154#16837287C2211yescharacteristic, complemented
155#16837287C2211yescharacteristic, complemented
156#16837281C2211yescharacteristic
157#16837281C2211yescharacteristic, complemented
158#16837280C2211yescharacteristic
159#16837280C2211yescharacteristic
160#16837280C2211yescharacteristic
161#16837280C2211yescharacteristic
162#16837280C2211yescharacteristic, complemented
163#16837280C2211yescharacteristic, complemented
164#16837279C2211yescharacteristic
165#16837277C2211yescharacteristic
166#16837276C2211yescharacteristic, complemented
167#16837276C2211yescharacteristic, complemented
168#16837276C2211yescharacteristic, complemented
169#16837276C2211yescharacteristic, complemented
170#16837272C2211yescharacteristic, complemented
171#16837262C2211yescharacteristic, complemented
172#16837259C2211yescharacteristic, complemented
173#16837257C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic
175C2×#117×C59C2211yescharacteristic
176C22×C42×C59C2211yescharacteristic, complemented
177C59×#388C2211yescharacteristic
178C59×#388C2211yescharacteristic
179C59×#387C2211yescharacteristic, complemented
180C59×#387C2211yescharacteristic, complemented
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#385C2211yescharacteristic, complemented
184C59×#385C2211yescharacteristic, complemented
185C4×C4⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic
187C4×C22⋊C4×C59C2211yescharacteristic, 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×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
215C23×Dic59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220#14273724—42no—
221#14273723—24no—
222#14273722—24no—
223#14273721—24no—
224#14273718—24no—
225#14273715—24no—
226#14273713—24no—
227#14273712—24no—
228#14273711—42no—
229#14273711—42no—
230#14273710—24no—
231#14273710—24no—
232#14273710—24no—
233#14273709—24no—
234#14273709—24no—
235#14273707—42no—
236#14273707—42no—
237#14273704—24no—
238#14273702—24no—
239#14273702—42no—
240#14273702—42no—
241#14273702—42no—
242#14273701—24no—
243#14273701—24no—
244#14273701—24no—
245#14273701—42no—
246#14273701—42no—
247#14273701—42no—
248#14273701—42no—
249#14273701—42no—
250#14273700—24no—
251#14273700—24no—
252#14273700—24no—
253#14273699—24no—
254#14273698—24no—
255#14273697—24no—
256#14273697—42no—
257#14273697—42no—
258#14273697—42no—
259#14273695—24no—
260C4×D236—24no—
261C4×C22⋊D59—24no—
262#14273684—24no—
263C2×C4⋊Dic59C2311yescharacteristic
264C2×C4⋊Dic59C2311yescharacteristic
265C2×C4⋊Dic59C2311yescharacteristic
266C2×C4⋊Dic59C2311yescharacteristic
267C2×C4⋊Dic59C2311yescharacteristic
268C2×C4⋊Dic59C2311yescharacteristic
269C2×C4⋊Dic59C2311yescharacteristic
270C2×C4⋊Dic59C2311yescharacteristic
271C2×C4⋊Dic59C2311yescharacteristic
272C2×C4⋊Dic59C2311yescharacteristic
273C2×C4⋊Dic59C2311yescharacteristic
274C2×C4⋊Dic59C2311yescharacteristic
275C2×C4⋊Dic59C2311yescharacteristic
276C2×C4⋊Dic59C2311yescharacteristic
277C2×C4⋊Dic59C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C2×Dic59⋊C4C2311yescharacteristic
281C2×Dic59⋊C4C2311yescharacteristic
282C2×Dic59⋊C4C2311yescharacteristic
283C2×Dic59⋊C4C2311yescharacteristic
284C2×Dic59⋊C4C2311yescharacteristic
285C2×Dic59⋊C4C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×(C2×D59)⋊C4—24no—
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
331C2×(C2×D59)⋊C4C2311yescharacteristic
332C2×(C2×D59)⋊C4C2311yescharacteristic
333C2×(C2×D59)⋊C4C2311yescharacteristic
334C2×(C2×D59)⋊C4C2311yescharacteristic
335C2×(C2×D59)⋊C4C2311yescharacteristic
336C2×(C2×D59)⋊C4C2311yescharacteristic
337C2×C4×Dic59C2311yescharacteristic
338C2×C4×Dic59C2311yescharacteristic
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
353C22×D4×C59C2311yescharacteristic
354C23×C4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C4×D4×C59D418yescomplemented
359#117×C59—42no—
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊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×C42×C59—42no—
374C2×C42×C59C2311yescharacteristic
375C2×C42×C59C2311yescharacteristic
376C2×C42×C59C2311yescharacteristic
377C2×C42×C59C2311yescharacteristic
378C2×C42×C59C2311yescharacteristic
379C2×C42×C59C2311yescharacteristic
380C2×C42×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C23×D59—22no—
394C23×D59—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—41no—
407C2×D4×C59—41no—
408C2×D4×C59C2×D414yes—
409C22×C4×C59—22no—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59C2×D414yes—
420C22×C4×C59C2×D414yes—
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
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—
464C22×Dic59—22no—
465C22×Dic59—41no—
466C22×Dic59—41no—
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C2×D236—22no—
478C2×D236—22no—
479C2×D236—22no—
480C2×D236—22no—
481C2×D236—22no—
482C2×D236—22no—
483C2×D236—22no—
484C2×D236—22no—
485C2×D236—22no—
486C2×D236—22no—
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×D236—41no—
507C2×D236—41no—
508C2×D236—41no—
509C2×D236—41no—
510C2×D236—41no—
511C2×D236—41no—
512C2×D236—41no—
513C2×D236—41no—
514C2×D236—41no—
515C2×D236—41no—
516C2×D236—41no—
517C2×D236—41no—
518C2×D236—41no—
519C2×C4×D59—22no—
520C2×C4×D59—22no—
521C2×C4×D59—22no—
522C2×C4×D59—22no—
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×D59—41no—
530C2×C4×D59—41no—
531C2×Dic118—22no—
532C2×Dic118—41no—
533C2×Dic118—41no—
534C4⋊C4×C59—22no—
535C4⋊C4×C59—22no—
536C4⋊C4×C59—22no—
537C4⋊C4×C59—41no—
538C4⋊C4×C59C2×D414yes—
539C22⋊C4×C59—22no—
540C22⋊C4×C59—22no—
541C22⋊C4×C59—22no—
542C22⋊C4×C59—41no—
543C22⋊C4×C59—41no—
544C22⋊C4×C59—41no—
545C22⋊C4×C59C2×D414yes—
546C22⋊C4×C59C2×D414yes—
547C42×C59—22no—
548C42×C59—22no—
549C42×C59—41no—
550C42×C59—41no—
551C42×C59—41no—
552C42×C59—41no—
553C42×C59C2×D414yes—
554C22⋊Dic59—22no—
555C22⋊Dic59—22no—
556C22⋊Dic59—22no—
557C22⋊Dic59—22no—
558(C2×D59)⋊C4—22no—
559(C2×D59)⋊C4—22no—
560(C2×D59)⋊C4—22no—
561(C2×D59)⋊C4—22no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—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—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)⋊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—
604C4⋊Dic59—22no—
605C4⋊Dic59—22no—
606C4⋊Dic59—22no—
607C4⋊Dic59—22no—
608C4⋊Dic59—22no—
609C4⋊Dic59—22no—
610C4⋊Dic59—22no—
611C4⋊Dic59—41no—
612C4⋊Dic59—41no—
613C4⋊Dic59—41no—
614C4⋊Dic59—41no—
615C4⋊Dic59—41no—
616C4⋊Dic59—41no—
617C4⋊Dic59—41no—
618C4⋊Dic59—41no—
619Dic59⋊C4—22no—
620Dic59⋊C4—22no—
621Dic59⋊C4—22no—
622Dic59⋊C4—22no—
623Dic59⋊C4—22no—
624Dic59⋊C4—22no—
625Dic59⋊C4—22no—
626Dic59⋊C4—22no—
627C4×Dic59—22no—
628C4×Dic59—22no—
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×C59C22×D412yes—
642C23×C59C22×D412yes—
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—21no—
685C22×D59—21no—
686C22×D59—44no—
687C22×D59—82no—
688C22×D59—82no—
689C22×D59—82no—
690C22×D59—82no—
691C22×D59—82no—
692C22×D59—82no—
693D4×C59—44no—
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—44no—
726C2×C4×C59—44no—
727C2×C4×C59—44no—
728C2×C4×C59—44no—
729C2×C4×C59C22×D412yes—
730C2×C4×C59C22×D412yes—
731C2×C4×C59C22×D412yes—
732C2×C4×C59C22×D412yes—
733C2×C4×C59C22×D412yes—
734C2×C4×C59H(5,𝔽2)12yes—
735C2×C4×C59H(5,𝔽2)12yes—
736C2×C4×C59H(5,𝔽2)12yes—
737C22⋊D59—44no—
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×Dic59—21no—
777C2×Dic59—82no—
778D236—44no—
779D236—82no—
780D236—82no—
781D236—82no—
782D236—82no—
783D236—82no—
784D236—82no—
785D236—82no—
786D236—82no—
787D236—82no—
788D236—82no—
789D236—82no—
790D236—82no—
791D236—82no—
792C4×D59—44no—
793C4×D59—82no—
794C4×D59—82no—
795C4×D59—82no—
796Dic118—82no—
797#36744—591nomaximal, Sylow
798C22×C59—22no—
799C22×C59—22no—
800C22×C59—22no—
801C22×C59—22no—
802C22×C59—22no—
803C22×C59—22no—
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—41no—
820C2×D59—41no—
821C2×D59—41no—
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—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—22no—
868C4×C59—22no—
869C4×C59—22no—
870C4×C59—41no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
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#2601—591no—
911#2540—591no—
912#2539—591no—
913#2414—591no—
914#2411—591no—
915#2290D5911yescharacteristic, complemented
916C2×C59—42no—
917C2×C59—42no—
918C2×C59#344911yescharacteristic
919C2×C59#349611yescharacteristic
920C2×C59#349811yescharacteristic
921C2×C59#353411yescharacteristic
922C2×C59#354211yescharacteristic
923C2×C59#355111yescharacteristic
924C2×C59#356211yescharacteristic
925D59—81no—
926D59—81no—
927D59—81no—
928D59—81no—
929D59—81no—
930D59—81no—
931#540—1188no—
932#538—1188no—
933C2×#127—591no—
934C2×#127—591no—
935C2×#126—591no—
936C2×#126—591no—
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
976C2×#117—591no—
977C2×#117C2×D5911yescharacteristic
978C22×C22⋊C4—591no—
979C22×C42C2×D5911yescharacteristic, complemented
980#399—591no—
981#399—591no—
982#399—591no—
983#399—591no—
984#398—591no—
985#398—591no—
986#398—591no—
987#398—591no—
988#397—591no—
989#397—591no—
990#397—591no—
991#397—591no—
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#394—591no—
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#390—591no—
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
1057#388C2×D5911yescharacteristic
1058#387—591no—
1059#387—591no—
1060#387C2×D5911yescharacteristic, complemented
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#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⋊C4C2×D5911yescharacteristic, complemented
1085C4×C22⋊C4C2×D5911yescharacteristic
1086C4×C22⋊C4C2×D5911yescharacteristic, complemented
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×D4—591no—
1114C22×D4—591no—
1115C22×D4C22×D5911yescharacteristic
1116C23×C4—591no—
1117C23×C4—591no—
1118C23×C4—591no—
1119C23×C4—591no—
1120C23×C4—591no—
1121C23×C4C22×D5911yescharacteristic
1122C23×C4C22×D5911yescharacteristic
1123C23×C4C22×D5911yescharacteristic
1124C23×C4C22×D5911yescharacteristic
1125#127—1184no—
1126#127—2362no—
1127#126—1184no—
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—1184no—
1166C4×D4—1184no—
1167C4×D4D23618yescomplemented
1168#117—42no—
1169#117—1184no—
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⋊C4—591no—
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—591no—
1246C2×C22⋊C4—591no—
1247C2×C22⋊C4—591no—
1248C2×C22⋊C4—1184no—
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—42no—
1258C2×C42—591no—
1259C2×C42—591no—
1260C2×C42C22×D5911yescharacteristic
1261C2×C42C22×D5911yescharacteristic
1262C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1282#95C22×D5911yescharacteristic
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—41no—
1310C2×D4—41no—
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—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—2361no—
1332C2×D4—2361no—
1333C2×D4—2361no—
1334C2×D4—2361no—
1335C2×D4—2361no—
1336C2×D4—2361no—
1337C2×D4—2361no—
1338C2×D4—2361no—
1339C2×D4—2361no—
1340C2×D4—2361no—
1341C2×D4—2361no—
1342C2×D4—2361no—
1343C2×D4—2361no—
1344C2×D4—2361no—
1345C2×D4—2361no—
1346C2×D4—2361no—
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×D4C2×D23614yes—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—591no—
1400C22×C4—591no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
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×C4C2×D23614yes—
1420C22×C4C2×D23614yes—
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—41no—
1438C4⋊C4—1182no—
1439C4⋊C4—1182no—
1440C4⋊C4—1182no—
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—2361no—
1454C4⋊C4—2361no—
1455C4⋊C4—2361no—
1456C4⋊C4—2361no—
1457C4⋊C4—2361no—
1458C4⋊C4—2361no—
1459C4⋊C4—2361no—
1460C4⋊C4—2361no—
1461C4⋊C4C2×D23614yes—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—1182no—
1469C22⋊C4—1182no—
1470C22⋊C4—1182no—
1471C22⋊C4—1182no—
1472C22⋊C4—1182no—
1473C22⋊C4—1182no—
1474C22⋊C4—1182no—
1475C22⋊C4—1182no—
1476C22⋊C4—1182no—
1477C22⋊C4—1182no—
1478C22⋊C4—1182no—
1479C22⋊C4—1182no—
1480C22⋊C4—1182no—
1481C22⋊C4—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—2361no—
1497C22⋊C4—2361no—
1498C22⋊C4—2361no—
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⋊C4C2×D23614yes—
1519C22⋊C4C2×D23614yes—
1520C42—22no—
1521C42—22no—
1522C42—41no—
1523C42—41no—
1524C42—41no—
1525C42—41no—
1526C42—1182no—
1527C42—1182no—
1528C42C2×D23614yes—
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—1181no—
1542C23—1181no—
1543C23—1181no—
1544C23—1181no—
1545C23—1181no—
1546C23—1181no—
1547C23—1181no—
1548C23—1181no—
1549C23—1181no—
1550C23—1181no—
1551C23—1181no—
1552C23—1181no—
1553C23—1181no—
1554C23—1181no—
1555C23—1181no—
1556C23—1181no—
1557C23—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—4722no—
1584C23—4722no—
1585C23—4722no—
1586C23—4722no—
1587C23—4722no—
1588C23—4722no—
1589C23—2364no—
1590C23C22×D23612yes—
1591C23C22×D23612yes—
1592C23C24×D5911yescharacteristic
1593Q8—4722no—
1594D4—44no—
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—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—44no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—1181no—
1655C2×C4—1181no—
1656C2×C4—1181no—
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×C4C22×D23612yes—
1690C2×C4C22×D23612yes—
1691C2×C4C22×D23612yes—
1692C2×C4C22×D23612yes—
1693C2×C4C22×D23612yes—
1694C2×C4#1427377212yes—
1695C2×C4#1427377312yes—
1696C2×C4#1427377312yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—4728no—
1712C22—2361no—
1713C22—2361no—
1714C22—2361no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22—2361no—
1719C22—2361no—
1720C22—2361no—
1721C22—2361no—
1722C22—2361no—
1723C22—2361no—
1724C22—2361no—
1725C22—2361no—
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—
1754C22C23×D23611yescharacteristic
1755C22C2×#1427377211yescharacteristic
1756C22C2×#1427377311yescharacteristic
1757C22C2×#1427377311yescharacteristic
1758C22#1683823811yescharacteristic
1759C22#1683823811yescharacteristic
1760C22#1683823811yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—2361no—
1775C4—2361no—
1776C4—2361no—
1777C4—2361no—
1778C4—2361no—
1779C4—2361no—
1780C4—2361no—
1781C4—2361no—
1782C4—2361no—
1783C4—2361no—
1784C2—42no—
1785C2—42no—
1786C2—4721no—
1787C2—4721no—
1788C2—4721no—
1789C2—4721no—
1790C2—4721no—
1791C2—4721no—
1792C2#2143742911yescharacteristic
1793C2#2143786011yescharacteristic
1794C2#2143787411yescharacteristic
1795C2#2143828011yescharacteristic
1796C2#2143840411yescharacteristic
1797C2#2143851811yescharacteristic
1798C2#2143867611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2290C2
hypercenter#2290D59
hypocenterC59#36744
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2290

Complements

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

NH ≅ G/Ntype
1. C2×#16838003C2semidirect
2. C2×#16837985C2semidirect
3. #21432441C2semidirect
4. #21432427C2semidirect
5. #21430989C2semidirect
6. #21430890C2semidirect
7. #21430614C2semidirect
8. #21430446C2semidirect
9. #21430434C2semidirect
10. #21430419C2semidirect
11. #21430400C2semidirect
12. #21430387C2semidirect
13. #21430365C2semidirect
14. #21430360C2semidirect
15. #21430350C2semidirect
16. #21430335C2semidirect
17. #21430330C2semidirect
18. #21430314C2semidirect
19. #21430311C2semidirect
20. #21430302C2semidirect
21. #21430222C2semidirect
22. #21430222C2semidirect
23. #21429777C2semidirect
24. #21429723C2semidirect
25. #21429702C2semidirect
26. #21429687C2semidirect
27. #21429030C2semidirect
28. #21429022C2semidirect
29. #21427508C2semidirect
30. #21427475C2semidirect
31. C59×#2290C2semidirect
38. C2×#14273718C22semidirect
46. C2×#14273710C22semidirect
48. C2×#14273709C22semidirect
49. C2×#14273707C22semidirect
50. C2×#14273707C22semidirect
54. C2×#14273702C22semidirect
55. C2×#14273702C22semidirect
61. C2×#14273701C22semidirect
62. C2×#14273701C22semidirect
63. C2×#14273701C22semidirect
66. C2×#14273700C22semidirect
74. C2×C4×D236C22semidirect
76. C2×#14273684C22semidirect
81. #16837339C22semidirect
82. #16837334C22semidirect
83. #16837334C22semidirect
84. #16837334C22semidirect
85. #16837332C22semidirect
88. #16837329C22semidirect
93. #16837324C22semidirect
94. #16837323C22semidirect
97. #16837320C22semidirect
98. #16837320C22semidirect
107. #16837318C22semidirect
108. #16837318C22semidirect
109. #16837318C22semidirect
110. #16837315C22semidirect
118. #16837312C22semidirect
125. #16837311C22semidirect
134. #16837304C22semidirect
135. #16837304C22semidirect
136. #16837304C22semidirect
137. #16837304C22semidirect
138. #16837303C22semidirect
139. #16837301C22semidirect
140. #16837300C22semidirect
141. #16837300C22semidirect
144. #16837294C22semidirect
145. #16837294C22semidirect
149. #16837293C22semidirect
150. #16837293C22semidirect
151. #16837293C22semidirect
152. #16837293C22semidirect
153. #16837293C22semidirect
154. #16837287C22semidirect
155. #16837287C22semidirect
157. #16837281C22semidirect
162. #16837280C22semidirect
163. #16837280C22semidirect
166. #16837276C22semidirect
167. #16837276C22semidirect
168. #16837276C22semidirect
169. #16837276C22semidirect
170. #16837272C22semidirect
171. #16837262C22semidirect
172. #16837259C22semidirect
176. C22×C42×C59C22semidirect
179. C59×#387C22semidirect
180. C59×#387C22semidirect
183. C59×#385C22semidirect
184. C59×#385C22semidirect
185. C4×C4⋊C4×C59C22semidirect
187. C4×C22⋊C4×C59C22semidirect
188. C59×#376C22semidirect
358. C4×D4×C59D4semidirect
915. #2290D59semidirect
979. C22×C42C2×D59semidirect
1060. #387C2×D59semidirect
1061. #387C2×D59semidirect
1078. #385C2×D59semidirect
1079. #385C2×D59semidirect
1084. C4×C4⋊C4C2×D59semidirect
1086. C4×C22⋊C4C2×D59semidirect
1087. #376C2×D59semidirect
1088. C59#36744semidirect
1167. C4×D4D236semidirect

Maximal subgroups

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

subgroupindex
C2×#168380032
C2×#168379852
#214324412
#214324272
#214309892
#214308902
#214306142
#214304462
#214304342
#214304192
#214304002
#214303872
#214303652
#214303602
#214303502
#214303352
#214303302
#214303142
#214303112
#214303022
#214302222
#214297772
#214297232
#214297022
#214296872
#214290302
#214290222
#214275082
#214274752
C59×#22902
#3674459