Finite Group Databasebeta

← #28795577

Subgroups — #28795577

Order 15104.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838004C211yesmaximal, characteristic, complemented
2C2×#16837911C211yesmaximal, characteristic, complemented
3#21432391C211yesmaximal, characteristic, complemented
4#21432377C211yesmaximal, characteristic, complemented
5#21430613C211yesmaximal, characteristic, complemented
6#21430600C211yesmaximal, characteristic, complemented
7#21430559C211yesmaximal, characteristic, complemented
8#21430525C211yesmaximal, characteristic, complemented
9#21430514C211yesmaximal, characteristic, complemented
10#21430416C211yesmaximal, characteristic, complemented
11#21430394C211yesmaximal, characteristic, complemented
12#21430385C211yesmaximal, characteristic, complemented
13#21430363C211yesmaximal, characteristic, complemented
14#21430355C211yesmaximal, characteristic, complemented
15#21430344C211yesmaximal, characteristic, complemented
16#21430325C211yesmaximal, characteristic, complemented
17#21430325C211yesmaximal, characteristic, complemented
18#21430311C211yesmaximal, characteristic, complemented
19#21430307C211yesmaximal, characteristic, complemented
20#21430303C211yesmaximal, characteristic, complemented
21#21429987C211yesmaximal, characteristic, complemented
22#21429945C211yesmaximal, characteristic, complemented
23#21429775C211yesmaximal, characteristic, complemented
24#21429661C211yesmaximal, characteristic, complemented
25#21429660C211yesmaximal, characteristic, complemented
26#21429052C211yesmaximal, characteristic, complemented
27#21428996C211yesmaximal, characteristic, complemented
28#21427715C211yesmaximal, characteristic, complemented
29#21427708C211yesmaximal, characteristic, complemented
30#21426723C211yesmaximal, characteristic, complemented
31C59×#2602C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16838004—28no—
35C2×#14273724C2211yescharacteristic
36C2×#14273723C2211yescharacteristic
37C2×#14273717C2211yescharacteristic, complemented
38C2×#14273715C2211yescharacteristic, complemented
39#16837911—28no—
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic
42C2×#14273712C2211yescharacteristic
43C2×#14273711C2211yescharacteristic
44C2×#14273709C2211yescharacteristic
45C2×#14273709C2211yescharacteristic, complemented
46C2×#14273705C2211yescharacteristic
47C2×#14273704C2211yescharacteristic
48C2×#14273702C2211yescharacteristic
49C2×#14273701C2211yescharacteristic, complemented
50C2×#14273700C2211yescharacteristic
51C2×#14273700C2211yescharacteristic
52C2×#14273700C2211yescharacteristic
53C2×#14273700C2211yescharacteristic
54C2×#14273700C2211yescharacteristic
55C2×#14273700C2211yescharacteristic, complemented
56C2×#14273699C2211yescharacteristic
57C2×#14273699C2211yescharacteristic
58C2×#14273699C2211yescharacteristic
59C2×#14273699C2211yescharacteristic
60C2×#14273699C2211yescharacteristic
61C2×#14273699C2211yescharacteristic
62C2×#14273699C2211yescharacteristic, complemented
63C2×#14273699C2211yescharacteristic, complemented
64C2×#14273697C2211yescharacteristic
65C2×#14273697C2211yescharacteristic
66C2×#14273697C2211yescharacteristic
67C2×#14273695C2211yescharacteristic
68C2×#14273695C2211yescharacteristic
69C2×C4×D236C2211yescharacteristic
70C2×C4×C22⋊D59C2211yescharacteristic
71C2×C4×C22⋊D59C2211yescharacteristic
72C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
73C2×#14273685C2211yescharacteristic, complemented
74C2×#14273684C2211yescharacteristic
75#16837344C2211yescharacteristic, complemented
76#16837344C2211yescharacteristic, complemented
77#16837343C2211yescharacteristic, complemented
78#16837337C2211yescharacteristic
79#16837337C2211yescharacteristic, complemented
80#16837337C2211yescharacteristic, complemented
81#16837336C2211yescharacteristic, complemented
82#16837336C2211yescharacteristic, complemented
83#16837332C2211yescharacteristic, complemented
84#16837331C2211yescharacteristic
85#16837331C2211yescharacteristic, complemented
86#16837330C2211yescharacteristic
87#16837327C2211yescharacteristic
88#16837326C2211yescharacteristic, complemented
89#16837326C2211yescharacteristic, complemented
90#16837324C2211yescharacteristic
91#16837324C2211yescharacteristic, complemented
92#16837322C2211yescharacteristic, complemented
93#16837320C2211yescharacteristic
94#16837320C2211yescharacteristic
95#16837320C2211yescharacteristic, complemented
96#16837319C2211yescharacteristic
97#16837319C2211yescharacteristic
98#16837319C2211yescharacteristic
99#16837319C2211yescharacteristic, complemented
100#16837318C2211yescharacteristic
101#16837318C2211yescharacteristic, complemented
102#16837317C2211yescharacteristic
103#16837317C2211yescharacteristic, complemented
104#16837314C2211yescharacteristic, complemented
105#16837312C2211yescharacteristic
106#16837312C2211yescharacteristic
107#16837311C2211yescharacteristic
108#16837311C2211yescharacteristic
109#16837311C2211yescharacteristic
110#16837311C2211yescharacteristic
111#16837311C2211yescharacteristic
112#16837311C2211yescharacteristic
113#16837311C2211yescharacteristic
114#16837311C2211yescharacteristic, complemented
115#16837311C2211yescharacteristic, complemented
116#16837311C2211yescharacteristic, complemented
117#16837311C2211yescharacteristic, complemented
118#16837310C2211yescharacteristic
119#16837308C2211yescharacteristic, complemented
120#16837304C2211yescharacteristic
121#16837296C2211yescharacteristic
122#16837293C2211yescharacteristic
123#16837293C2211yescharacteristic
124#16837293C2211yescharacteristic, complemented
125#16837293C2211yescharacteristic, complemented
126#16837292C2211yescharacteristic, complemented
127#16837291C2211yescharacteristic
128#16837286C2211yescharacteristic, complemented
129#16837286C2211yescharacteristic, complemented
130#16837284C2211yescharacteristic, complemented
131#16837281C2211yescharacteristic
132#16837281C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic
137#16837280C2211yescharacteristic
138#16837280C2211yescharacteristic
139#16837280C2211yescharacteristic, complemented
140#16837280C2211yescharacteristic, complemented
141#16837280C2211yescharacteristic, complemented
142#16837279C2211yescharacteristic
143#16837279C2211yescharacteristic
144#16837279C2211yescharacteristic
145#16837279C2211yescharacteristic
146#16837279C2211yescharacteristic
147#16837279C2211yescharacteristic, complemented
148#16837279C2211yescharacteristic, complemented
149#16837279C2211yescharacteristic, complemented
150#16837278C2211yescharacteristic
151#16837278C2211yescharacteristic
152#16837278C2211yescharacteristic
153#16837278C2211yescharacteristic, complemented
154#16837274C2211yescharacteristic
155#16837274C2211yescharacteristic, complemented
156#16837274C2211yescharacteristic, complemented
157#16837274C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic
159#16837273C2211yescharacteristic
160#16837273C2211yescharacteristic, complemented
161#16837273C2211yescharacteristic, complemented
162#16837273C2211yescharacteristic, complemented
163#16837269C2211yescharacteristic, complemented
164#16837266C2211yescharacteristic, complemented
165#16837264C2211yescharacteristic
166#16837264C2211yescharacteristic
167#16837261C2211yescharacteristic
168#16837261C2211yescharacteristic
169#16837261C2211yescharacteristic, complemented
170#16837260C2211yescharacteristic
171#16837260C2211yescharacteristic, complemented
172#16837257C2211yescharacteristic
173C2×C59⋊#95C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic, complemented
175C2×C4×D4×C59C2211yescharacteristic
176C59×#397C2211yescharacteristic, complemented
177C59×#394C2211yescharacteristic
178C59×#394C2211yescharacteristic, complemented
179C59×#392C2211yescharacteristic
180C59×#390C2211yescharacteristic
181C59×#389C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic
183C59×#388C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#387C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic
187C59×#385C2211yescharacteristic
188C4×C22⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C2×#11745685—24no—
191C2×#11745685—42no—
192C2×#11745685—42no—
193C22×Dic118C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C22×C22⋊D59C2311yescharacteristic
212C22×C22⋊D59C2311yescharacteristic
213C22×C22⋊D59C2311yescharacteristic
214C22×C22⋊D59C2311yescharacteristic
215C22×C22⋊D59C2311yescharacteristic
216C23×Dic59C2311yescharacteristic
217C23×Dic59C2311yescharacteristic
218C23×Dic59C2311yescharacteristic
219C23×Dic59C2311yescharacteristic
220C22×C4×D59—24no—
221C22×C4×D59—42no—
222C22×C4×D59—42no—
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230#14273724—42no—
231#14273723—24no—
232#14273717—24no—
233#14273715—42no—
234#14273712—24no—
235#14273712—24no—
236#14273712—42no—
237#14273711—24no—
238#14273709—24no—
239#14273709—24no—
240#14273705—24no—
241#14273704—24no—
242#14273702—24no—
243#14273701—24no—
244#14273700—24no—
245#14273700—24no—
246#14273700—24no—
247#14273700—24no—
248#14273700—42no—
249#14273700—42no—
250#14273699—24no—
251#14273699—24no—
252#14273699—42no—
253#14273699—42no—
254#14273699—42no—
255#14273699—42no—
256#14273699—42no—
257#14273699—42no—
258#14273697—24no—
259#14273697—42no—
260#14273697—42no—
261#14273695—24no—
262#14273695—42no—
263C4×D236—24no—
264C4×C22⋊D59—24no—
265C4×C22⋊D59D418yescomplemented
266(C22⋊D59)⋊C4—24no—
267#14273685—24no—
268#14273684—24no—
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×Dic59⋊C4C2311yescharacteristic
285C2×Dic59⋊C4C2311yescharacteristic
286C2×Dic59⋊C4C2311yescharacteristic
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
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×C4×Dic59C2311yescharacteristic
329C2×C4×Dic59C2311yescharacteristic
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
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359#123×C59—24no—
360C4×D4×C59—24no—
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C42×C59C2311yescharacteristic
381C2×C42×C59C2311yescharacteristic
382C2×C42×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—41no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C23×D59C2411yescharacteristic
405C23×D59C2411yescharacteristic
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C22×C4×C59—22no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
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
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—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—
465C2×C22⋊D59—41no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59C2×D414yes—
472C22×Dic59—22no—
473C22×Dic59—22no—
474C22×Dic59—22no—
475C22×Dic59—41no—
476C22×Dic59—41no—
477C22×Dic59—41no—
478C22×Dic59—41no—
479C22×Dic59—41no—
480C22×Dic59—41no—
481C22×Dic59—41no—
482C22×Dic59—41no—
483C22×Dic59—41no—
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2411yescharacteristic
495#11745685—416no—
496C2×D236—22no—
497C2×D236—22no—
498C2×D236—22no—
499C2×D236—22no—
500C2×D236—22no—
501C2×D236—22no—
502C2×D236—22no—
503C2×D236—22no—
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×D236—41no—
520C2×D236—41no—
521C2×D236—41no—
522C2×D236—41no—
523C2×C4×D59—22no—
524C2×C4×D59—22no—
525C2×C4×D59—22no—
526C2×C4×D59—22no—
527C2×C4×D59—22no—
528C2×C4×D59—22no—
529C2×C4×D59—22no—
530C2×C4×D59—22no—
531C2×C4×D59—22no—
532C2×C4×D59—22no—
533C2×C4×D59—416no—
534C2×C4×D59—41no—
535C2×C4×D59—41no—
536C2×C4×D59—41no—
537C2×C4×D59—41no—
538C2×C4×D59—41no—
539C2×C4×D59—41no—
540C2×C4×D59—41no—
541C2×C4×D59—41no—
542C2×C4×D59—41no—
543C2×C4×D59—41no—
544C2×C4×D59C2×D414yes—
545C2×Dic118—22no—
546C2×Dic118—22no—
547C2×Dic118—41no—
548C4⋊C4×C59—22no—
549C4⋊C4×C59—22no—
550C4⋊C4×C59—22no—
551C4⋊C4×C59—41no—
552C4⋊C4×C59—41no—
553C4⋊C4×C59—41no—
554C22⋊C4×C59—22no—
555C22⋊C4×C59—22no—
556C22⋊C4×C59—22no—
557C22⋊C4×C59—22no—
558C22⋊C4×C59—22no—
559C22⋊C4×C59—22no—
560C22⋊C4×C59—41no—
561C22⋊C4×C59—41no—
562C22⋊C4×C59—41no—
563C22⋊C4×C59—41no—
564C22⋊C4×C59—41no—
565C22⋊C4×C59—41no—
566C22⋊C4×C59—41no—
567C42×C59—22no—
568C42×C59—41no—
569C42×C59—41no—
570C22⋊Dic59—22no—
571C22⋊Dic59—22no—
572C22⋊Dic59—22no—
573C22⋊Dic59—22no—
574C22⋊Dic59—41no—
575C22⋊Dic59C2×D414yes—
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—22no—
588(C2×D59)⋊C4—22no—
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)⋊C4—41no—
605(C2×D59)⋊C4—41no—
606(C2×D59)⋊C4—41no—
607(C2×D59)⋊C4—41no—
608(C2×D59)⋊C4—41no—
609(C2×D59)⋊C4—41no—
610(C2×D59)⋊C4C2×D414yes—
611C4⋊Dic59—22no—
612C4⋊Dic59—22no—
613C4⋊Dic59—22no—
614Dic59⋊C4—22no—
615Dic59⋊C4—22no—
616Dic59⋊C4—22no—
617Dic59⋊C4—22no—
618Dic59⋊C4—22no—
619Dic59⋊C4—22no—
620Dic59⋊C4—22no—
621Dic59⋊C4—41no—
622Dic59⋊C4—41no—
623Dic59⋊C4—41no—
624Dic59⋊C4—41no—
625Dic59⋊C4—41no—
626Dic59⋊C4—41no—
627Dic59⋊C4—41no—
628Dic59⋊C4C2×D414yes—
629C4×Dic59—22no—
630C4×Dic59C2×D414yes—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59C22×D412yes—
651C23×C59H(5,𝔽2)12yes—
652C23×C59C2511yescharacteristic
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—44no—
688C22×D59—44no—
689C22×D59—44no—
690C22×D59—44no—
691C22×D59—44no—
692C22×D59—44no—
693C22×D59C22×D412yes—
694C22×D59H(5,𝔽2)12yes—
695D4×C59—44no—
696D4×C59—82no—
697D4×C59—82no—
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—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—44no—
733C2×C4×C59—44no—
734C2×C4×C59C22×D412yes—
735C2×C4×C59C22×D412yes—
736C22⋊D59—44no—
737C22⋊D59—44no—
738C22⋊D59—44no—
739C22⋊D59—44no—
740C22⋊D59—44no—
741C22⋊D59—82no—
742C22⋊D59—82no—
743C22⋊D59—82no—
744C22⋊D59—82no—
745C22⋊D59—82no—
746C22⋊D59—82no—
747C22⋊D59—82no—
748C22⋊D59—82no—
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—21no—
778C2×Dic59—44no—
779C2×Dic59—82no—
780C2×Dic59—82no—
781C2×Dic59—82no—
782C2×Dic59C22×D412yes—
783C2×Dic59C22×D412yes—
784C2×Dic59C22×D412yes—
785C2×Dic59H(5,𝔽2)12yes—
786D236—44no—
787D236—44no—
788D236—82no—
789D236—82no—
790D236—82no—
791D236—82no—
792D236—82no—
793D236—82no—
794D236—82no—
795C4×D59—28no—
796C4×D59—44no—
797C4×D59—44no—
798C4×D59—44no—
799C4×D59—44no—
800C4×D59—44no—
801C4×D59—82no—
802Dic118—44no—
803#36713—591nomaximal, Sylow
804C22×C59—22no—
805C22×C59—22no—
806C22×C59—22no—
807C22×C59—22no—
808C22×C59—22no—
809C22×C59—22no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59C23×D411yescharacteristic
826C22×C59C2×H(5,𝔽2)11yescharacteristic
827C22×C59C2×H(5,𝔽2)11yescharacteristic
828C22×C59C2×H(5,𝔽2)11yescharacteristic
829C22×C59#58511yescharacteristic
830C22×C59#58511yescharacteristic
831C22×C59#58511yescharacteristic
832C2×D59—22no—
833C2×D59—22no—
834C2×D59—22no—
835C2×D59—22no—
836C2×D59—22no—
837C2×D59—22no—
838C2×D59—416no—
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—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C4×C59—22no—
869C4×C59—22no—
870C4×C59—41no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59—41no—
880Dic59—22no—
881Dic59—22no—
882Dic59—22no—
883Dic59—22no—
884Dic59—41no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891C2×#540—591no—
892C2×#525—591no—
893#2849—591no—
894#2847—591no—
895#2694—591no—
896#2693—591no—
897#2690—591no—
898#2688—591no—
899#2687—591no—
900#2678—591no—
901#2676—591no—
902#2675—591no—
903#2673—591no—
904#2673—591no—
905#2672—591no—
906#2671—591no—
907#2671—591no—
908#2669—591no—
909#2669—591no—
910#2668—591no—
911#2635—591no—
912#2630—591no—
913#2609—591no—
914#2602D5911yescharacteristic, complemented
915#2598—591no—
916#2598—591no—
917#2543—591no—
918#2535—591no—
919#2431—591no—
920#2430—591no—
921#2318—591no—
922C2×C59—42no—
923C2×C59—42no—
924C2×C59—81no—
925C2×C59#344911yescharacteristic
926C2×C59#348411yescharacteristic
927C2×C59#348811yescharacteristic
928C2×C59#353311yescharacteristic
929C2×C59#353411yescharacteristic
930C2×C59#353911yescharacteristic
931C2×C59#354211yescharacteristic
932D59—42no—
933D59—42no—
934D59—81no—
935D59—81no—
936D59—81no—
937C22×#41—591no—
938C24×C4—591no—
939#540—1188no—
940C2×#127—591no—
941C2×#127—591no—
942C2×#125—591no—
943C2×#124—591no—
944#525—1188no—
945C2×#123—591no—
946C2×#123—591no—
947C2×#123—591no—
948C2×#123—591no—
949C2×#123—591no—
950C2×#123—591no—
951C2×#123C2×D5911yescharacteristic, complemented
952C2×C22⋊Q8—591no—
953C2×C22⋊Q8—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×#121—591no—
969C2×#121—591no—
970C2×#120—591no—
971C2×#120—591no—
972C2×#120—591no—
973C2×#120—591no—
974C2×#120—591no—
975C2×C4×D4—591no—
976C2×C4×D4—591no—
977C2×C4×D4—591no—
978C2×C4×D4—591no—
979C2×C4×D4C2×D5911yescharacteristic
980C2×#117—591no—
981C2×#117—591no—
982#400—591no—
983#400—591no—
984#400—591no—
985#399—591no—
986#399—591no—
987#399—591no—
988#398—591no—
989#398—591no—
990#398—591no—
991#397—591no—
992#397—591no—
993#397—591no—
994#397—591no—
995#397C2×D5911yescharacteristic, complemented
996#396—591no—
997#396—591no—
998#396—591no—
999#396—591no—
1000#395—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#394C2×D5911yescharacteristic
1013#394C2×D5911yescharacteristic, complemented
1014#393—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#392—591no—
1029#392C2×D5911yescharacteristic
1030#391—591no—
1031#390—591no—
1032#390C2×D5911yescharacteristic
1033#389C2×D5911yescharacteristic, complemented
1034#388—591no—
1035#388—591no—
1036#388—591no—
1037#388—591no—
1038#388—591no—
1039#388—591no—
1040#388—591no—
1041#388C2×D5911yescharacteristic
1042#388C2×D5911yescharacteristic, complemented
1043#388C2×D5911yescharacteristic, complemented
1044#387—591no—
1045#387—591no—
1046#387—591no—
1047#387C2×D5911yescharacteristic, complemented
1048#386—591no—
1049#386—591no—
1050#386—591no—
1051#386—591no—
1052#386—591no—
1053#386—591no—
1054#386—591no—
1055#386—591no—
1056#386—591no—
1057#386—591no—
1058#386—591no—
1059#386—591no—
1060#386—591no—
1061#386—591no—
1062#386—591no—
1063#386—591no—
1064#386—591no—
1065#386—591no—
1066#386—591no—
1067#386—591no—
1068#386—591no—
1069#386—591no—
1070#386—591no—
1071#386C2×D5911yescharacteristic
1072#385—591no—
1073#385—591no—
1074#385—591no—
1075#385—591no—
1076#385—591no—
1077#385—591no—
1078#385—591no—
1079#385—591no—
1080#385—591no—
1081#385C2×D5911yescharacteristic
1082#383—591no—
1083#382—591no—
1084#381—591no—
1085#381—591no—
1086#380—591no—
1087#380—591no—
1088#380—591no—
1089#380—591no—
1090#380—591no—
1091#379—591no—
1092C4×C22⋊C4C2×D5911yescharacteristic, complemented
1093C2×#95—591no—
1094C59#3671311yescharacteristic, complemented, Sylow
1095C25—591no—
1096C2×#41—1184no—
1097C2×#41—2362no—
1098C2×#41—2362no—
1099C22×Q8—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×D4—591no—
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4—591no—
1119C22×D4—591no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4C22×D5911yescharacteristic
1123C22×D4C22×D5911yescharacteristic
1124C22×D4C22×D5911yescharacteristic
1125C23×C4—591no—
1126C23×C4—591no—
1127C23×C4—591no—
1128C23×C4—591no—
1129C23×C4—591no—
1130C23×C4—591no—
1131C23×C4—591no—
1132C23×C4—591no—
1133C23×C4—591no—
1134C23×C4—591no—
1135C23×C4—591no—
1136C23×C4—1184no—
1137C23×C4—2362no—
1138C23×C4—2362no—
1139C23×C4C22×D5911yescharacteristic
1140C23×C4C22×D5911yescharacteristic
1141#127—1184no—
1142#127—2362no—
1143#125—1184no—
1144#124—2362no—
1145#123—24no—
1146#123—1184no—
1147#123—1184no—
1148#123—1184no—
1149#123—1184no—
1150#123—1184no—
1151#123—2362no—
1152C22⋊Q8—1184no—
1153C22⋊Q8—1184no—
1154#121—1184no—
1155#121—1184no—
1156#121—1184no—
1157#121—1184no—
1158#121—1184no—
1159#121—1184no—
1160#121—1184no—
1161#121—1184no—
1162#121—2362no—
1163#121—2362no—
1164#121—2362no—
1165#121—2362no—
1166#121—2362no—
1167#121—2362no—
1168#121—2362no—
1169#121—2362no—
1170#120—1184no—
1171#120—1184no—
1172#120—2362no—
1173#120—2362no—
1174#120—2362no—
1175C4×D4—24no—
1176C4×D4—598no—
1177C4×D4—1184no—
1178C4×D4—1184no—
1179C4×D4—1184no—
1180#117—1184no—
1181#117—1184no—
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⋊C4—591no—
1194C2×C4⋊C4—591no—
1195C2×C4⋊C4—591no—
1196C2×C4⋊C4—591no—
1197C2×C4⋊C4—591no—
1198C2×C4⋊C4—591no—
1199C2×C4⋊C4—591no—
1200C2×C4⋊C4C22×D5911yescharacteristic
1201C2×C4⋊C4C22×D5911yescharacteristic
1202C2×C4⋊C4C22×D5911yescharacteristic
1203C2×C4⋊C4C22×D5911yescharacteristic
1204C2×C4⋊C4C22×D5911yescharacteristic
1205C2×C4⋊C4C22×D5911yescharacteristic
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⋊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×C22⋊C4C22×D5911yescharacteristic
1258C2×C22⋊C4C22×D5911yescharacteristic
1259C2×C22⋊C4C22×D5911yescharacteristic
1260C2×C42—591no—
1261C2×C42—591no—
1262C2×C42C22×D5911yescharacteristic
1263C2×C42C22×D5911yescharacteristic
1264C2×C42C22×D5911yescharacteristic
1265#95—591no—
1266#95—591no—
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#95—591no—
1284#95—591no—
1285#95—591no—
1286#95—591no—
1287#95—591no—
1288#95—591no—
1289#95C22×D5911yescharacteristic
1290#95C22×D5911yescharacteristic
1291#95C22×D5911yescharacteristic
1292#95C22×D5911yescharacteristic
1293#95C22×D5911yescharacteristic
1294#95C22×D5911yescharacteristic
1295#95C22×D5911yescharacteristic
1296#95C22×D5911yescharacteristic
1297C24—591no—
1298C24—591no—
1299C24—591no—
1300C24—591no—
1301C24—591no—
1302C24—1182no—
1303C24—1182no—
1304C24—1182no—
1305C24—2361no—
1306C24—2361no—
1307C24—2361no—
1308C24—2361no—
1309C24C23×D5911yescharacteristic
1310C24C23×D5911yescharacteristic
1311C24C23×D5911yescharacteristic
1312#41—23616no—
1313C2×Q8—1182no—
1314C2×Q8—1182no—
1315C2×Q8—2361no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—594no—
1326C2×D4—1182no—
1327C2×D4—1182no—
1328C2×D4—1182no—
1329C2×D4—1182no—
1330C2×D4—1182no—
1331C2×D4—1182no—
1332C2×D4—1182no—
1333C2×D4—1182no—
1334C2×D4—1182no—
1335C2×D4—1182no—
1336C2×D4—1182no—
1337C2×D4—1182no—
1338C2×D4—1182no—
1339C2×D4—1182no—
1340C2×D4—1182no—
1341C2×D4—1182no—
1342C2×D4—1182no—
1343C2×D4—1182no—
1344C2×D4—1182no—
1345C2×D4—1182no—
1346C2×D4—1182no—
1347C2×D4—1182no—
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—
1384C2×D4—2361no—
1385C2×D4—2361no—
1386C2×D4—2361no—
1387C2×D4—2361no—
1388C2×D4—2361no—
1389C2×D4—2361no—
1390C2×D4—2361no—
1391C22×C4—22no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—591no—
1400C22×C4—594no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—1182no—
1409C22×C4—1182no—
1410C22×C4—1182no—
1411C22×C4—1182no—
1412C22×C4—1182no—
1413C22×C4—1182no—
1414C22×C4—1182no—
1415C22×C4—1182no—
1416C22×C4—1182no—
1417C22×C4—1182no—
1418C22×C4—1182no—
1419C22×C4—1182no—
1420C22×C4—1182no—
1421C22×C4—2361no—
1422C22×C4—2361no—
1423C22×C4—2361no—
1424C22×C4—2361no—
1425C22×C4—2361no—
1426C22×C4—2361no—
1427C22×C4—2361no—
1428C22×C4—2361no—
1429C22×C4—2361no—
1430C22×C4—2361no—
1431C22×C4—23616no—
1432C22×C4—2361no—
1433C22×C4—2361no—
1434C22×C4—2361no—
1435C22×C4—2361no—
1436C22×C4—2361no—
1437C22×C4—2361no—
1438C22×C4—2361no—
1439C22×C4—2361no—
1440C22×C4—2361no—
1441C22×C4D4×D5914yes—
1442C22×C4C23×D5911yescharacteristic
1443C22×C4C23×D5911yescharacteristic
1444C22×C4C23×D5911yescharacteristic
1445C22×C4C23×D5911yescharacteristic
1446C22×C4C23×D5911yescharacteristic
1447C22×C4C23×D5911yescharacteristic
1448C22×C4C23×D5911yescharacteristic
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452C22×C4C23×D5911yescharacteristic
1453C22×C4C23×D5911yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—594no—
1461C4⋊C4—1182no—
1462C4⋊C4—1182no—
1463C4⋊C4—1182no—
1464C4⋊C4—1182no—
1465C4⋊C4—1182no—
1466C4⋊C4—1182no—
1467C4⋊C4—1182no—
1468C4⋊C4—1182no—
1469C4⋊C4—1182no—
1470C4⋊C4—1182no—
1471C4⋊C4—2361no—
1472C4⋊C4—2361no—
1473C4⋊C4—2361no—
1474C4⋊C4—2361no—
1475C4⋊C4—2361no—
1476C4⋊C4—2361no—
1477C4⋊C4—2361no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—594no—
1492C22⋊C4—594no—
1493C22⋊C4—1182no—
1494C22⋊C4—1182no—
1495C22⋊C4—1182no—
1496C22⋊C4—1182no—
1497C22⋊C4—1182no—
1498C22⋊C4—1182no—
1499C22⋊C4—1182no—
1500C22⋊C4—1182no—
1501C22⋊C4—1182no—
1502C22⋊C4—1182no—
1503C22⋊C4—1182no—
1504C22⋊C4—1182no—
1505C22⋊C4—1182no—
1506C22⋊C4—1182no—
1507C22⋊C4—1182no—
1508C22⋊C4—1182no—
1509C22⋊C4—1182no—
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—
1520C22⋊C4—2361no—
1521C22⋊C4—2361no—
1522C22⋊C4—2361no—
1523C22⋊C4—2361no—
1524C22⋊C4—2361no—
1525C22⋊C4—2361no—
1526C22⋊C4—2361no—
1527C22⋊C4—2361no—
1528C22⋊C4—2361no—
1529C22⋊C4—2361no—
1530C22⋊C4—2361no—
1531C22⋊C4—2361no—
1532C42—22no—
1533C42—41no—
1534C42—41no—
1535C42—594no—
1536C42—1182no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—592no—
1557C23—592no—
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—1181no—
1586C23—1181no—
1587C23—1181no—
1588C23—1181no—
1589C23—1181no—
1590C23—1181no—
1591C23—2364no—
1592C23—2364no—
1593C23—2364no—
1594C23—2364no—
1595C23—2364no—
1596C23—2364no—
1597C23—2364no—
1598C23C2×D4×D5912yes—
1599C23#1427377312yes—
1600C23C24×D5911yescharacteristic
1601Q8—2364no—
1602D4—44no—
1603D4—82no—
1604D4—82no—
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—4722no—
1618D4—4722no—
1619D4—4722no—
1620D4—2364no—
1621D4—2364no—
1622D4—2364no—
1623D4—2364no—
1624D4—2364no—
1625D4—2364no—
1626D4—2364no—
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—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—592no—
1664C2×C4—592no—
1665C2×C4—592no—
1666C2×C4—592no—
1667C2×C4—1188no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—4722no—
1698C2×C4—4722no—
1699C2×C4—4722no—
1700C2×C4—4722no—
1701C2×C4—2364no—
1702C2×C4—2364no—
1703C2×C4—2364no—
1704C2×C4—2364no—
1705C2×C4—2364no—
1706C2×C4—2364no—
1707C2×C4C2×D4×D5912yes—
1708C2×C4C2×D4×D5912yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—1182no—
1731C22—1182no—
1732C22—1182no—
1733C22—1182no—
1734C22—1182no—
1735C22—1182no—
1736C22—23616no—
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—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22C22×D4×D5911yescharacteristic
1767C22H(5,𝔽2)×D5911yescharacteristic
1768C22H(5,𝔽2)×D5911yescharacteristic
1769C22C2×#1427377311yescharacteristic
1770C22#1683823811yescharacteristic
1771C22#1683823811yescharacteristic
1772C22#1683823811yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—1182no—
1786C4—1182no—
1787C4—1182no—
1788C4—1182no—
1789C4—2361no—
1790C4—2361no—
1791C4—2361no—
1792C4—2361no—
1793C4—2361no—
1794C4—2361no—
1795C4—2361no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—4721no—
1800C2—4721no—
1801C2—4721no—
1802C2—2362no—
1803C2—2362no—
1804C2#2143742311yescharacteristic
1805C2#2143772811yescharacteristic
1806C2#2143775711yescharacteristic
1807C2#2143827011yescharacteristic
1808C2#2143827311yescharacteristic
1809C2#2143834611yescharacteristic
1810C2#2143840511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2602C2
hypercenter#2602D59
hypocenterC59#36713
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2602

Complements

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

NH ≅ G/Ntype
1. C2×#16838004C2semidirect
2. C2×#16837911C2semidirect
3. #21432391C2semidirect
4. #21432377C2semidirect
5. #21430613C2semidirect
6. #21430600C2semidirect
7. #21430559C2semidirect
8. #21430525C2semidirect
9. #21430514C2semidirect
10. #21430416C2semidirect
11. #21430394C2semidirect
12. #21430385C2semidirect
13. #21430363C2semidirect
14. #21430355C2semidirect
15. #21430344C2semidirect
16. #21430325C2semidirect
17. #21430325C2semidirect
18. #21430311C2semidirect
19. #21430307C2semidirect
20. #21430303C2semidirect
21. #21429987C2semidirect
22. #21429945C2semidirect
23. #21429775C2semidirect
24. #21429661C2semidirect
25. #21429660C2semidirect
26. #21429052C2semidirect
27. #21428996C2semidirect
28. #21427715C2semidirect
29. #21427708C2semidirect
30. #21426723C2semidirect
31. C59×#2602C2semidirect
37. C2×#14273717C22semidirect
38. C2×#14273715C22semidirect
45. C2×#14273709C22semidirect
49. C2×#14273701C22semidirect
55. C2×#14273700C22semidirect
62. C2×#14273699C22semidirect
63. C2×#14273699C22semidirect
72. C2×(C22⋊D59)⋊C4C22semidirect
73. C2×#14273685C22semidirect
75. #16837344C22semidirect
76. #16837344C22semidirect
77. #16837343C22semidirect
79. #16837337C22semidirect
80. #16837337C22semidirect
81. #16837336C22semidirect
82. #16837336C22semidirect
83. #16837332C22semidirect
85. #16837331C22semidirect
88. #16837326C22semidirect
89. #16837326C22semidirect
91. #16837324C22semidirect
92. #16837322C22semidirect
95. #16837320C22semidirect
99. #16837319C22semidirect
101. #16837318C22semidirect
103. #16837317C22semidirect
104. #16837314C22semidirect
114. #16837311C22semidirect
115. #16837311C22semidirect
116. #16837311C22semidirect
117. #16837311C22semidirect
119. #16837308C22semidirect
124. #16837293C22semidirect
125. #16837293C22semidirect
126. #16837292C22semidirect
128. #16837286C22semidirect
129. #16837286C22semidirect
130. #16837284C22semidirect
139. #16837280C22semidirect
140. #16837280C22semidirect
141. #16837280C22semidirect
147. #16837279C22semidirect
148. #16837279C22semidirect
149. #16837279C22semidirect
153. #16837278C22semidirect
155. #16837274C22semidirect
156. #16837274C22semidirect
157. #16837274C22semidirect
160. #16837273C22semidirect
161. #16837273C22semidirect
162. #16837273C22semidirect
163. #16837269C22semidirect
164. #16837266C22semidirect
169. #16837261C22semidirect
171. #16837260C22semidirect
173. C2×C59⋊#95C22semidirect
174. C2×#123×C59C22semidirect
176. C59×#397C22semidirect
178. C59×#394C22semidirect
181. C59×#389C22semidirect
183. C59×#388C22semidirect
184. C59×#388C22semidirect
185. C59×#387C22semidirect
188. C4×C22⋊C4×C59C22semidirect
265. C4×C22⋊D59D4semidirect
914. #2602D59semidirect
951. C2×#123C2×D59semidirect
995. #397C2×D59semidirect
1013. #394C2×D59semidirect
1033. #389C2×D59semidirect
1042. #388C2×D59semidirect
1043. #388C2×D59semidirect
1047. #387C2×D59semidirect
1092. C4×C22⋊C4C2×D59semidirect
1094. C59#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#168380042
C2×#168379112
#214323912
#214323772
#214306132
#214306002
#214305592
#214305252
#214305142
#214304162
#214303942
#214303852
#214303632
#214303552
#214303442
#214303252
#214303112
#214303072
#214303032
#214299872
#214299452
#214297752
#214296612
#214296602
#214290522
#214289962
#214277152
#214277082
#214267232
C59×#26022
#3671359