Finite Group Databasebeta

← #28752039

Subgroups — #28752039

Order 15104.

2874 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837965C211yesmaximal, characteristic
2#21427271C211yesmaximal, characteristic, complemented
3#21427267C211yesmaximal, characteristic, complemented
4#21427254C211yesmaximal, characteristic, complemented
5#21427247C211yesmaximal, characteristic, complemented
6#21427206C211yesmaximal, characteristic, complemented
7#21427159C211yesmaximal, characteristic, complemented
8#21427144C211yesmaximal, characteristic, complemented
9#21427141C211yesmaximal, characteristic, complemented
10#21427079C211yesmaximal, characteristic, complemented
11#21427077C211yesmaximal, characteristic, complemented
12#21427076C211yesmaximal, characteristic, complemented
13#21427073C211yesmaximal, characteristic, complemented
14#21426957C211yesmaximal, characteristic, complemented
15#21426949C211yesmaximal, characteristic, complemented
16#21426922C211yesmaximal, characteristic, complemented
17#21426922C211yesmaximal, characteristic, complemented
18#21426905C211yesmaximal, characteristic, complemented
19#21426905C211yesmaximal, characteristic, complemented
20#21426862C211yesmaximal, characteristic, complemented
21#21426855C211yesmaximal, characteristic, complemented
22#21426822C211yesmaximal, characteristic, complemented
23#21426797C211yesmaximal, characteristic, complemented
24#21426794C211yesmaximal, characteristic, complemented
25#21426755C211yesmaximal, characteristic, complemented
26#21426752C211yesmaximal, characteristic, complemented
27#21426670C211yesmaximal, characteristic, complemented
28#21426601C211yesmaximal, characteristic, complemented
29C4×#14273695C211yesmaximal, characteristic, complemented
30#386×D59C211yesmaximal, characteristic, complemented
31C59×#2328C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837965C4116yescomplemented
36C2×#14273723C2211yescharacteristic
37C2×#14273715C2211yescharacteristic
38C2×#14273714C2211yescharacteristic
39C2×#14273699C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273699C2211yescharacteristic
42C2×#14273699C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×#14273695C2211yescharacteristic
45C2×#14273695C2211yescharacteristic
46C2×#14273695C2211yescharacteristic
47C2×D4×Dic59C2211yescharacteristic, complemented
48C2×D4×Dic59C2211yescharacteristic, complemented
49C2×C4×C22⋊D59C2211yescharacteristic
50C2×C4×C22⋊D59C2211yescharacteristic
51C2×C4×C22⋊D59C2211yescharacteristic, complemented
52C2×C4×C22⋊D59C2211yescharacteristic, complemented
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic
55C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
56C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
57C2×#14273684C2211yescharacteristic
58C22×(C2×D59)⋊C4C2211yescharacteristic
59C2×C22⋊C4×D59C2211yescharacteristic
60C2×C22⋊C4×D59C2211yescharacteristic
61C2×C22⋊C4×D59C2211yescharacteristic
62C2×C22⋊C4×D59C2211yescharacteristic
63#16837306C2211yescharacteristic, complemented
64#16837306C2211yescharacteristic, complemented
65#16837306C2211yescharacteristic, complemented
66#16837306C2211yescharacteristic, complemented
67#16837305C2211yescharacteristic, complemented
68#16837305C2211yescharacteristic, complemented
69#16837302C2211yescharacteristic, complemented
70#16837302C2211yescharacteristic, complemented
71#16837302C2211yescharacteristic, complemented
72#16837302C2211yescharacteristic, complemented
73#16837296C2211yescharacteristic, complemented
74#16837296C2211yescharacteristic, complemented
75#16837296C2211yescharacteristic, complemented
76#16837296C2211yescharacteristic, complemented
77#16837294C2211yescharacteristic, complemented
78#16837294C2211yescharacteristic, complemented
79#16837293C2211yescharacteristic, complemented
80#16837293C2211yescharacteristic, complemented
81#16837292C2211yescharacteristic, complemented
82#16837292C2211yescharacteristic, complemented
83#16837291C2211yescharacteristic, complemented
84#16837291C2211yescharacteristic, complemented
85#16837290C2211yescharacteristic, complemented
86#16837290C2211yescharacteristic, complemented
87#16837290C2211yescharacteristic, complemented
88#16837290C2211yescharacteristic, complemented
89#16837289C2211yescharacteristic, complemented
90#16837289C2211yescharacteristic, complemented
91#16837286C2211yescharacteristic, complemented
92#16837286C2211yescharacteristic, complemented
93#16837284C2211yescharacteristic, complemented
94#16837284C2211yescharacteristic, complemented
95#16837283C2211yescharacteristic, complemented
96#16837283C2211yescharacteristic, complemented
97#16837282C2211yescharacteristic
98#16837282C2211yescharacteristic
99#16837282C2211yescharacteristic, complemented
100#16837282C2211yescharacteristic, complemented
101#16837282C2211yescharacteristic, complemented
102#16837282C2211yescharacteristic, complemented
103#16837282C2211yescharacteristic, complemented
104#16837282C2211yescharacteristic, complemented
105#16837281C2211yescharacteristic
106#16837281C2211yescharacteristic
107#16837281C2211yescharacteristic, complemented
108#16837281C2211yescharacteristic, complemented
109#16837280C2211yescharacteristic
110#16837280C2211yescharacteristic
111#16837280C2211yescharacteristic
112#16837280C2211yescharacteristic
113#16837279C2211yescharacteristic
114#16837279C2211yescharacteristic
115#16837279C2211yescharacteristic, complemented
116#16837279C2211yescharacteristic, complemented
117#16837278C2211yescharacteristic
118#16837278C2211yescharacteristic
119#16837278C2211yescharacteristic
120#16837278C2211yescharacteristic
121#16837278C2211yescharacteristic
122#16837278C2211yescharacteristic
123#16837278C2211yescharacteristic
124#16837278C2211yescharacteristic
125#16837278C2211yescharacteristic, complemented
126#16837278C2211yescharacteristic, complemented
127#16837278C2211yescharacteristic, complemented
128#16837278C2211yescharacteristic, complemented
129#16837276C2211yescharacteristic
130#16837276C2211yescharacteristic
131#16837276C2211yescharacteristic, complemented
132#16837276C2211yescharacteristic, complemented
133#16837275C2211yescharacteristic, complemented
134#16837275C2211yescharacteristic, complemented
135#16837274C2211yescharacteristic, complemented
136#16837274C2211yescharacteristic, complemented
137#16837273C2211yescharacteristic
138#16837273C2211yescharacteristic
139#16837273C2211yescharacteristic, complemented
140#16837273C2211yescharacteristic, complemented
141#16837269C2211yescharacteristic, complemented
142#16837269C2211yescharacteristic, complemented
143#16837268C2211yescharacteristic, complemented
144#16837264C2211yescharacteristic
145#16837264C2211yescharacteristic
146#16837263C2211yescharacteristic, complemented
147#16837263C2211yescharacteristic, complemented
148#16837260C2211yescharacteristic, complemented
149#16837260C2211yescharacteristic, complemented
150#16837257C2211yescharacteristic
151#16837257C2211yescharacteristic
152#16837253C2211yescharacteristic, complemented
153#16837253C2211yescharacteristic, complemented
154C22⋊C4×Dic59C2211yescharacteristic, complemented
155C22⋊C4×Dic59C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic, complemented
158C4×(C2×D59)⋊C4C2211yescharacteristic
159C4×(C2×D59)⋊C4C2211yescharacteristic
160C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162C4×C22⋊Dic59C2211yescharacteristic, complemented
163C4×C22⋊Dic59C2211yescharacteristic, complemented
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837248C2211yescharacteristic, complemented
169C2×C59⋊#95C2211yescharacteristic, complemented
170C2×C59⋊#95C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic
172#95×D59C2211yescharacteristic
173C2×#127×C59C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic, complemented
175C2×C4×D4×C59C2211yescharacteristic, complemented
176C59×#390C2211yescharacteristic, complemented
177C59×#390C2211yescharacteristic, complemented
178C59×#386C2211yescharacteristic
179C59×#386C2211yescharacteristic
180C59×#386C2211yescharacteristic, complemented
181C59×#386C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#382C2211yescharacteristic, complemented
187C59×#376C2211yescharacteristic, complemented
188C24×D59C2311yescharacteristic
189C24×D59C2311yescharacteristic
190C2×#11745687—42no—
191C2×#11745687—42no—
192C2×#11745687C2×C418yescomplemented
193C22×Dic118C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C2×D4×D59—42no—
204C2×D4×D59—42no—
205C2×D4×D59C2×C418yescomplemented
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C22×C4×D59—42no—
213C22×C4×D59—42no—
214C22×C4×D59—42no—
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224#14273723C2×C418yescomplemented
225#14273715C2×C418yescomplemented
226#14273714C2×C418yescomplemented
227#14273699C2×C418yescomplemented
228#14273699C2×C418yescomplemented
229#14273699C2×C418yescomplemented
230#14273699C2×C418yescomplemented
231#14273695C2×C418yescomplemented
232#14273695C2×C418yescomplemented
233#14273695C2×C418yescomplemented
234#14273695C2×C418yescomplemented
235D4×Dic59—42no—
236D4×Dic59—42no—
237C4×C22⋊D59—42no—
238C4×C22⋊D59—42no—
239C4×C22⋊D59—42no—
240C4×C22⋊D59—42no—
241(C22⋊D59)⋊C4—42no—
242(C22⋊D59)⋊C4—42no—
243(C22⋊D59)⋊C4—42no—
244(C22⋊D59)⋊C4—42no—
245#14273684C2×C418yescomplemented
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×(C2×D59)⋊C4—42no—
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
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
297C22⋊C4×D59—42no—
298C22⋊C4×D59—42no—
299C22⋊C4×D59—42no—
300C22⋊C4×D59—42no—
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C22×D4×C59C2311yescharacteristic
345C22×D4×C59C2311yescharacteristic
346C22×D4×C59C2311yescharacteristic
347C22×D4×C59C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353C23×C4×C59C2311yescharacteristic
354#127×C59C2×C418yescomplemented
355C4×D4×C59—42no—
356C4×D4×C59—42no—
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊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×C42×C59C2311yescharacteristic
372C2×C42×C59C2311yescharacteristic
373C2×C42×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376#95×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382C24×C59C2411yescharacteristic
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C23×D59—22no—
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59—41no—
395C23×D59—41no—
396C23×D59—41no—
397C23×D59—41no—
398C23×D59C22×C414yes—
399C23×D59C22×C414yes—
400C23×D59C2411yescharacteristic
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59C22×C414yes—
416C2×D4×C59C22×C414yes—
417C2×D4×C59C22×C414yes—
418C2×D4×C59C22×C414yescomplemented
419C2×D4×C59C22×C414yescomplemented
420C2×D4×C59C22×C414yescomplemented
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
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⋊D59C22×C414yes—
461C2×C22⋊D59C22×C414yes—
462C2×C22⋊D59C22×C414yes—
463C2×C22⋊D59C22×C414yes—
464C2×C22⋊D59C22×C414yes—
465C2×C22⋊D59C22×C414yes—
466C2×C22⋊D59C22×C414yescomplemented
467C2×C22⋊D59C22×C414yescomplemented
468C22×Dic59—22no—
469C22×Dic59—22no—
470C22×Dic59—41no—
471C22×Dic59—41no—
472C22×Dic59—41no—
473C22×Dic59—41no—
474C22×Dic59—41no—
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×Dic59C22×C414yescomplemented
485C22×Dic59C22×C414yescomplemented
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2411yescharacteristic
495C22×Dic59C2411yescharacteristic
496C22×Dic59C2411yescharacteristic
497C22×Dic59C2411yescharacteristic
498C22×Dic59C2411yescharacteristic
499#11745687—416no—
500D4×D59—416no—
501C2×D236—41no—
502C2×D236—41no—
503C2×D236C22×C414yes—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
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—416no—
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×D59—41no—
530C2×C4×D59—41no—
531C2×C4×D59C22×C414yes—
532C2×Dic118—41no—
533C2×Dic118—41no—
534C2×Dic118C22×C414yescomplemented
535C4⋊C4×C59—41no—
536C4⋊C4×C59—41no—
537C22⋊C4×C59—22no—
538C22⋊C4×C59—22no—
539C22⋊C4×C59—41no—
540C22⋊C4×C59—41no—
541C22⋊C4×C59—41no—
542C22⋊C4×C59—41no—
543C22⋊C4×C59—41no—
544C22⋊C4×C59—41no—
545C22⋊C4×C59—41no—
546C22⋊C4×C59—41no—
547C22⋊C4×C59—41no—
548C22⋊C4×C59—41no—
549C42×C59—22no—
550C42×C59—41no—
551C42×C59C22×C414yescomplemented
552C22⋊Dic59—22no—
553C22⋊Dic59—22no—
554C22⋊Dic59—41no—
555C22⋊Dic59—41no—
556C22⋊Dic59—41no—
557C22⋊Dic59—41no—
558C22⋊Dic59—41no—
559C22⋊Dic59—41no—
560C22⋊Dic59—41no—
561C22⋊Dic59—41no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
564C22⋊Dic59C22×C414yes—
565C22⋊Dic59C22×C414yes—
566C22⋊Dic59C22×C414yescomplemented
567C22⋊Dic59C22×C414yescomplemented
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—41no—
575(C2×D59)⋊C4—41no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4—41no—
581(C2×D59)⋊C4—41no—
582(C2×D59)⋊C4—41no—
583(C2×D59)⋊C4—41no—
584(C2×D59)⋊C4C22×C414yes—
585(C2×D59)⋊C4C22×C414yes—
586(C2×D59)⋊C4C22×C414yes—
587(C2×D59)⋊C4C22×C414yes—
588(C2×D59)⋊C4C22×C414yescomplemented
589(C2×D59)⋊C4C22×C414yescomplemented
590C4⋊Dic59—41no—
591C4⋊Dic59—41no—
592Dic59⋊C4—22no—
593Dic59⋊C4—22no—
594Dic59⋊C4—41no—
595Dic59⋊C4—41no—
596Dic59⋊C4—41no—
597Dic59⋊C4—41no—
598Dic59⋊C4—41no—
599Dic59⋊C4—41no—
600Dic59⋊C4C22×C414yescomplemented
601Dic59⋊C4C22×C414yescomplemented
602C4×Dic59—22no—
603C4×Dic59—41no—
604C4×Dic59—41no—
605C4×Dic59—41no—
606C4×Dic59—41no—
607C4×Dic59—41no—
608C4×Dic59—41no—
609C4×Dic59—41no—
610C4×Dic59—41no—
611C4×Dic59—41no—
612C4×Dic59C22×C414yescomplemented
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59C23×C412yes—
638C23×C59C23×C412yes—
639C23×C59C23×C412yes—
640C23×C59C23×C412yes—
641C23×C59C2511yescharacteristic
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—28no—
659C22×D59—28no—
660C22×D59—44no—
661C22×D59—44no—
662C22×D59—44no—
663C22×D59—44no—
664C22×D59—44no—
665C22×D59—44no—
666C22×D59—44no—
667C22×D59—44no—
668C22×D59—82no—
669C22×D59—82no—
670C22×D59—82no—
671C22×D59—82no—
672C22×D59C23×C412yes—
673C22×D59C23×C412yes—
674C22×D59C23×C412yes—
675C22×D59H(5,𝔽2)12yes—
676C22×D59H(5,𝔽2)12yes—
677D4×C59—44no—
678D4×C59—44no—
679D4×C59—44no—
680D4×C59—44no—
681D4×C59—44no—
682D4×C59—44no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—44no—
713C2×C4×C59—82no—
714C2×C4×C59—82no—
715C2×C4×C59—82no—
716C2×C4×C59C23×C412yes—
717C2×C4×C59C23×C412yes—
718C2×C4×C59C23×C412yes—
719C2×C4×C59H(5,𝔽2)12yes—
720C22⋊D59—28no—
721C22⋊D59—28no—
722C22⋊D59—44no—
723C22⋊D59—44no—
724C22⋊D59—44no—
725C22⋊D59—44no—
726C22⋊D59—44no—
727C22⋊D59—44no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—44no—
762C2×Dic59—44no—
763C2×Dic59—44no—
764C2×Dic59—82no—
765C2×Dic59—82no—
766C2×Dic59—82no—
767C2×Dic59C23×C412yes—
768C2×Dic59C23×C412yes—
769C2×Dic59C23×C412yes—
770C2×Dic59C23×C412yes—
771C2×Dic59C23×C412yes—
772C2×Dic59H(5,𝔽2)12yes—
773D236—44no—
774C4×D59—28no—
775C4×D59—44no—
776C4×D59—44no—
777C4×D59—44no—
778C4×D59—44no—
779C4×D59—82no—
780C4×D59—82no—
781C4×D59—82no—
782C4×D59—82no—
783Dic118—44no—
784#34406—591nomaximal, Sylow
785C22×C59—22no—
786C22×C59—22no—
787C22×C59—22no—
788C22×C59—22no—
789C22×C59—22no—
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—22no—
795C22×C59—22no—
796C22×C59—22no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59—41no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59C24×C411yescharacteristic
814C22×C59C2×H(5,𝔽2)11yescharacteristic
815C22×C59C2×H(5,𝔽2)11yescharacteristic
816C22×C59C2×H(5,𝔽2)11yescharacteristic
817C22×C59C2×H(5,𝔽2)11yescharacteristic
818C22×C59#58511yescharacteristic
819C22×C59#58511yescharacteristic
820C2×D59—22no—
821C2×D59—22no—
822C2×D59—22no—
823C2×D59—22no—
824C2×D59—22no—
825C2×D59—22no—
826C2×D59—22no—
827C2×D59—22no—
828C2×D59—22no—
829C2×D59—22no—
830C2×D59—22no—
831C2×D59—22no—
832C2×D59—416no—
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—88no—
842C2×D59#51814yes—
843C4×C59—22no—
844C4×C59—22no—
845C4×C59—22no—
846C4×C59—22no—
847C4×C59—41no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853C4×C59—41no—
854Dic59—22no—
855Dic59—22no—
856Dic59—22no—
857Dic59—22no—
858Dic59—22no—
859Dic59—22no—
860Dic59—41no—
861Dic59—41no—
862Dic59—41no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867C2×#535—591no—
868#2380—591no—
869#2379—591no—
870#2377—591no—
871#2377—591no—
872#2372—591no—
873#2366—591no—
874#2364—591no—
875#2364—591no—
876#2358—591no—
877#2358—591no—
878#2358—591no—
879#2358—591no—
880#2343—591no—
881#2343—591no—
882#2339—591no—
883#2339—591no—
884#2337—591no—
885#2337—591no—
886#2333—591no—
887#2333—591no—
888#2328—591no—
889#2328D5911yescharacteristic, complemented
890#2325—591no—
891#2325—591no—
892#2321—591no—
893#2321—591no—
894#2308—591no—
895C4×#120—591no—
896C4×#120—591no—
897C2×#386—591no—
898C2×C59—42no—
899C2×C59—42no—
900C2×C59—42no—
901C2×C59—42no—
902C2×C59C2×#51811yescharacteristic
903C2×C59C4×H(5,𝔽2)11yescharacteristic
904C2×C59C4×H(5,𝔽2)11yescharacteristic
905C2×C59#353211yescharacteristic
906C2×C59#353311yescharacteristic
907C2×C59#354211yescharacteristic
908C2×C59#354211yescharacteristic
909D59—24no—
910D59—42no—
911D59—42no—
912C22×#41—591no—
913C23×D4—591no—
914C24×C4—591no—
915#535—5916no—
916C2×#127—591no—
917C2×#127C2×D5911yescharacteristic
918C2×#124—591no—
919C2×#124—591no—
920C2×#121—591no—
921C2×#121—591no—
922C2×#121—591no—
923C2×#121—591no—
924C2×#120—591no—
925C2×#120—591no—
926C2×#120—591no—
927C2×#120—591no—
928C2×C4×D4—591no—
929C2×C4×D4—591no—
930C2×C4×D4—591no—
931C2×C4×D4—591no—
932C2×C4×D4—591no—
933C2×C4×D4—591no—
934C2×C4×D4—591no—
935C2×C4×D4—591no—
936C2×C4×D4—591no—
937C2×C4×D4—591no—
938C2×C4×D4C2×D5911yescharacteristic, complemented
939C2×C4×D4C2×D5911yescharacteristic, complemented
940C2×#117—591no—
941C22×C22⋊C4—591no—
942C22×C22⋊C4—591no—
943C22×C22⋊C4—591no—
944C22×C22⋊C4—591no—
945C22×C22⋊C4—591no—
946#391—591no—
947#391—591no—
948#391—591no—
949#391—591no—
950#390—591no—
951#390—591no—
952#390—591no—
953#390—591no—
954#390—591no—
955#390—591no—
956#390C2×D5911yescharacteristic, complemented
957#390C2×D5911yescharacteristic, complemented
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388—591no—
973#388—591no—
974#387—591no—
975#387—591no—
976#387—591no—
977#387—591no—
978#387—591no—
979#387—591no—
980#387—591no—
981#387—591no—
982#386—591no—
983#386—591no—
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#386—591no—
1005#386—591no—
1006#386—591no—
1007#386—591no—
1008#386—591no—
1009#386—591no—
1010#386—591no—
1011#386—591no—
1012#386—591no—
1013#386—591no—
1014#386C2×D5911yescharacteristic
1015#386C2×D5911yescharacteristic
1016#386C2×D5911yescharacteristic, complemented
1017#386C2×D5911yescharacteristic, complemented
1018#386C2×D5911yescharacteristic, complemented
1019#386C2×D5911yescharacteristic, complemented
1020#386C2×D5911yescharacteristic, complemented
1021#386C2×D5911yescharacteristic, complemented
1022#385—591no—
1023#385—591no—
1024#385—591no—
1025#385—591no—
1026#385—591no—
1027#385—591no—
1028#385—591no—
1029#385—591no—
1030#385—591no—
1031#385—591no—
1032#385—591no—
1033#385—591no—
1034#383—591no—
1035#383—591no—
1036#382—591no—
1037#382C2×D5911yescharacteristic, complemented
1038#381—591no—
1039#381—591no—
1040#381—591no—
1041#381—591no—
1042#380—591no—
1043#380—591no—
1044#379—591no—
1045#379—591no—
1046C4×C4⋊C4—591no—
1047C4×C4⋊C4—591no—
1048C4×C22⋊C4—591no—
1049C4×C22⋊C4—591no—
1050C4×C22⋊C4—591no—
1051C4×C22⋊C4—591no—
1052C4×C22⋊C4—591no—
1053C4×C22⋊C4—591no—
1054C4×C22⋊C4—591no—
1055C4×C22⋊C4—591no—
1056C4×C22⋊C4—591no—
1057C4×C22⋊C4—591no—
1058C4×C22⋊C4—591no—
1059C4×C22⋊C4—591no—
1060C4×C22⋊C4—591no—
1061C4×C22⋊C4—591no—
1062#376—591no—
1063#376C2×D5911yescharacteristic, complemented
1064C2×#95—591no—
1065C2×#95—591no—
1066C2×#95—591no—
1067C2×#95—591no—
1068C59#3440611yescharacteristic, complemented, Sylow
1069C25—591no—
1070C25—591no—
1071C2×#41—598no—
1072C2×#41—2362no—
1073C2×#41—2362no—
1074C22×Q8—591no—
1075C22×D4—591no—
1076C22×D4—591no—
1077C22×D4—591no—
1078C22×D4—591no—
1079C22×D4—591no—
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—598no—
1084C22×D4—591no—
1085C22×D4—2362no—
1086C22×D4—2362no—
1087C22×D4C22×D5911yescharacteristic
1088C22×D4C22×D5911yescharacteristic
1089C22×D4C22×D5911yescharacteristic
1090C22×D4C22×D5911yescharacteristic
1091C22×D4C22×D5911yescharacteristic
1092C22×D4C22×D5911yescharacteristic
1093C23×C4—591no—
1094C23×C4—591no—
1095C23×C4—591no—
1096C23×C4—591no—
1097C23×C4—591no—
1098C23×C4—591no—
1099C23×C4—591no—
1100C23×C4—591no—
1101C23×C4—591no—
1102C23×C4—591no—
1103C23×C4—591no—
1104C23×C4—591no—
1105C23×C4—591no—
1106C23×C4—591no—
1107C23×C4—591no—
1108C23×C4—2362no—
1109C23×C4—2362no—
1110C23×C4—2362no—
1111C23×C4C22×D5911yescharacteristic
1112C23×C4C22×D5911yescharacteristic
1113C23×C4C22×D5911yescharacteristic
1114C23×C4C22×D5911yescharacteristic
1115#127—598no—
1116#127C4×D5918yescomplemented
1117#124—598no—
1118#124—598no—
1119#121—598no—
1120#121—598no—
1121#121—598no—
1122#121—598no—
1123#120—598no—
1124#120—598no—
1125#120—598no—
1126#120—598no—
1127C4×D4—42no—
1128C4×D4—42no—
1129C4×D4—2362no—
1130C4×D4—2362no—
1131C4×D4—2362no—
1132C4×D4—2362no—
1133C4×D4—2362no—
1134C4×D4—2362no—
1135C4×D4—2362no—
1136C4×D4—2362no—
1137C4×D4—2362no—
1138C4×D4—2362no—
1139#117—598no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—591no—
1142C2×C4⋊C4—591no—
1143C2×C4⋊C4—591no—
1144C2×C4⋊C4—591no—
1145C2×C4⋊C4—591no—
1146C2×C4⋊C4—591no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
1151C2×C4⋊C4—591no—
1152C2×C4⋊C4C22×D5911yescharacteristic
1153C2×C4⋊C4C22×D5911yescharacteristic
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—2362no—
1193C2×C22⋊C4—2362no—
1194C2×C22⋊C4—2362no—
1195C2×C22⋊C4—2362no—
1196C2×C22⋊C4—2362no—
1197C2×C22⋊C4C22×D5911yescharacteristic
1198C2×C22⋊C4C22×D5911yescharacteristic
1199C2×C22⋊C4C22×D5911yescharacteristic
1200C2×C22⋊C4C22×D5911yescharacteristic
1201C2×C22⋊C4C22×D5911yescharacteristic
1202C2×C22⋊C4C22×D5911yescharacteristic
1203C2×C22⋊C4C22×D5911yescharacteristic
1204C2×C22⋊C4C22×D5911yescharacteristic
1205C2×C22⋊C4C22×D5911yescharacteristic
1206C2×C22⋊C4C22×D5911yescharacteristic
1207C2×C22⋊C4C22×D5911yescharacteristic
1208C2×C22⋊C4C22×D5911yescharacteristic
1209C2×C42—591no—
1210C2×C42—591no—
1211C2×C42—591no—
1212C2×C42—591no—
1213C2×C42—591no—
1214C2×C42—591no—
1215C2×C42—591no—
1216C2×C42—591no—
1217C2×C42—591no—
1218C2×C42—591no—
1219C2×C42—591no—
1220C2×C42C22×D5911yescharacteristic
1221C2×C42C22×D5911yescharacteristic
1222C2×C42C22×D5911yescharacteristic
1223#95—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253#95—591no—
1254#95—591no—
1255#95C22×D5911yescharacteristic
1256#95C22×D5911yescharacteristic
1257#95C22×D5911yescharacteristic
1258#95C22×D5911yescharacteristic
1259#95C22×D5911yescharacteristic
1260#95C22×D5911yescharacteristic
1261#95C22×D5911yescharacteristic
1262#95C22×D5911yescharacteristic
1263C24—591no—
1264C24—591no—
1265C24—591no—
1266C24—594no—
1267C24—594no—
1268C24—1182no—
1269C24—1182no—
1270C24—1182no—
1271C24—1182no—
1272C24—2361no—
1273C24—2361no—
1274C24—2361no—
1275C24—2361no—
1276C24—2361no—
1277C24—2361no—
1278C24—2361no—
1279C24—2361no—
1280C24C23×D5911yescharacteristic
1281C24C23×D5911yescharacteristic
1282C24C23×D5911yescharacteristic
1283C24C23×D5911yescharacteristic
1284#41—23616no—
1285C2×Q8—594no—
1286C2×Q8—2361no—
1287C2×Q8—2361no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—594no—
1301C2×D4—594no—
1302C2×D4—594no—
1303C2×D4—594no—
1304C2×D4—594no—
1305C2×D4—594no—
1306C2×D4—594no—
1307C2×D4—594no—
1308C2×D4—594no—
1309C2×D4—1182no—
1310C2×D4—1182no—
1311C2×D4—1182no—
1312C2×D4—1182no—
1313C2×D4—2361no—
1314C2×D4—2361no—
1315C2×D4—23616no—
1316C2×D4—2361no—
1317C2×D4—2361no—
1318C2×D4—2361no—
1319C2×D4—2361no—
1320C2×D4—2361no—
1321C2×D4—2361no—
1322C2×D4—2361no—
1323C2×D4—2361no—
1324C2×D4—2361no—
1325C2×D4—2361no—
1326C2×D4—2361no—
1327C2×D4—2361no—
1328C2×D4C2×C4×D5914yes—
1329C2×D4C2×C4×D5914yes—
1330C2×D4C2×C4×D5914yes—
1331C2×D4C2×C4×D5914yescomplemented
1332C2×D4C2×C4×D5914yescomplemented
1333C2×D4C2×C4×D5914yescomplemented
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—591no—
1347C22×C4—591no—
1348C22×C4—591no—
1349C22×C4—591no—
1350C22×C4—591no—
1351C22×C4—591no—
1352C22×C4—594no—
1353C22×C4—594no—
1354C22×C4—594no—
1355C22×C4—591no—
1356C22×C4—591no—
1357C22×C4—591no—
1358C22×C4—591no—
1359C22×C4—591no—
1360C22×C4—591no—
1361C22×C4—591no—
1362C22×C4—1182no—
1363C22×C4—1182no—
1364C22×C4—1182no—
1365C22×C4—1182no—
1366C22×C4—1182no—
1367C22×C4—1182no—
1368C22×C4—1182no—
1369C22×C4—1182no—
1370C22×C4—1182no—
1371C22×C4—1182no—
1372C22×C4—1182no—
1373C22×C4—1182no—
1374C22×C4—2361no—
1375C22×C4—2361no—
1376C22×C4—2361no—
1377C22×C4—2361no—
1378C22×C4—2361no—
1379C22×C4—2361no—
1380C22×C4—2361no—
1381C22×C4—2361no—
1382C22×C4—2361no—
1383C22×C4—2361no—
1384C22×C4—2361no—
1385C22×C4—2361no—
1386C22×C4—2361no—
1387C22×C4—2361no—
1388C22×C4—2361no—
1389C22×C4—2361no—
1390C22×C4—23616no—
1391C22×C4—2361no—
1392C22×C4—2361no—
1393C22×C4—2361no—
1394C22×C4—2361no—
1395C22×C4—2361no—
1396C22×C4—2361no—
1397C22×C4—2361no—
1398C22×C4—2361no—
1399C22×C4—2361no—
1400C22×C4—2361no—
1401C22×C4—2361no—
1402C22×C4—2361no—
1403C22×C4—2361no—
1404C22×C4—2361no—
1405C22×C4C23×D5911yescharacteristic
1406C22×C4C23×D5911yescharacteristic
1407C22×C4C23×D5911yescharacteristic
1408C22×C4C23×D5911yescharacteristic
1409C22×C4C23×D5911yescharacteristic
1410C22×C4C23×D5911yescharacteristic
1411C22×C4C23×D5911yescharacteristic
1412C22×C4C23×D5911yescharacteristic
1413C22×C4C23×D5911yescharacteristic
1414C22×C4C23×D5911yescharacteristic
1415C22×C4C23×D5911yescharacteristic
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—594no—
1419C4⋊C4—594no—
1420C4⋊C4—1182no—
1421C4⋊C4—1182no—
1422C4⋊C4—2361no—
1423C4⋊C4—2361no—
1424C4⋊C4—2361no—
1425C4⋊C4—2361no—
1426C4⋊C4—2361no—
1427C4⋊C4—2361no—
1428C4⋊C4—2361no—
1429C4⋊C4—2361no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—594no—
1443C22⋊C4—594no—
1444C22⋊C4—594no—
1445C22⋊C4—594no—
1446C22⋊C4—594no—
1447C22⋊C4—594no—
1448C22⋊C4—594no—
1449C22⋊C4—594no—
1450C22⋊C4—594no—
1451C22⋊C4—594no—
1452C22⋊C4—1182no—
1453C22⋊C4—1182no—
1454C22⋊C4—1182no—
1455C22⋊C4—1182no—
1456C22⋊C4—1182no—
1457C22⋊C4—1182no—
1458C22⋊C4—1182no—
1459C22⋊C4—1182no—
1460C22⋊C4—2361no—
1461C22⋊C4—2361no—
1462C22⋊C4—2361no—
1463C22⋊C4—2361no—
1464C22⋊C4—2361no—
1465C22⋊C4—2361no—
1466C22⋊C4—2361no—
1467C22⋊C4—2361no—
1468C22⋊C4—2361no—
1469C22⋊C4—2361no—
1470C22⋊C4—2361no—
1471C22⋊C4—2361no—
1472C22⋊C4—2361no—
1473C22⋊C4—2361no—
1474C22⋊C4—2361no—
1475C22⋊C4—2361no—
1476C22⋊C4—2361no—
1477C22⋊C4—2361no—
1478C22⋊C4—2361no—
1479C22⋊C4—2361no—
1480C42—22no—
1481C42—41no—
1482C42—594no—
1483C42—1182no—
1484C42—2361no—
1485C42—2361no—
1486C42—2361no—
1487C42—2361no—
1488C42—2361no—
1489C42—2361no—
1490C42—2361no—
1491C42—2361no—
1492C42—2361no—
1493C42C2×C4×D5914yescomplemented
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—592no—
1519C23—592no—
1520C23—592no—
1521C23—592no—
1522C23—592no—
1523C23—1188no—
1524C23—1188no—
1525C23—1181no—
1526C23—1181no—
1527C23—1181no—
1528C23—1181no—
1529C23—1181no—
1530C23—1181no—
1531C23—1181no—
1532C23—1181no—
1533C23—1181no—
1534C23—1181no—
1535C23—1181no—
1536C23—1181no—
1537C23—1181no—
1538C23—1181no—
1539C23—1181no—
1540C23—1181no—
1541C23—4722no—
1542C23—4722no—
1543C23—4722no—
1544C23—4722no—
1545C23—2364no—
1546C23—2364no—
1547C23—2364no—
1548C23—2364no—
1549C23—2364no—
1550C23—2364no—
1551C23—2364no—
1552C23—2364no—
1553C23C22×C4×D5912yes—
1554C23C22×C4×D5912yes—
1555C23C22×C4×D5912yes—
1556C23C22×C4×D5912yes—
1557C23C24×D5911yescharacteristic
1558Q8—2364no—
1559D4—44no—
1560D4—44no—
1561D4—44no—
1562D4—44no—
1563D4—44no—
1564D4—44no—
1565D4—1188no—
1566D4—1188no—
1567D4—2364no—
1568D4—2364no—
1569D4—2364no—
1570D4—2364no—
1571D4—2364no—
1572D4—2364no—
1573D4—2364no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—44no—
1604C2×C4—82no—
1605C2×C4—82no—
1606C2×C4—82no—
1607C2×C4—592no—
1608C2×C4—592no—
1609C2×C4—592no—
1610C2×C4—592no—
1611C2×C4—592no—
1612C2×C4—592no—
1613C2×C4—1188no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—4722no—
1648C2×C4—4722no—
1649C2×C4—4722no—
1650C2×C4—4722no—
1651C2×C4—4722no—
1652C2×C4—4722no—
1653C2×C4—4722no—
1654C2×C4—2364no—
1655C2×C4—2364no—
1656C2×C4—2364no—
1657C2×C4—2364no—
1658C2×C4—2364no—
1659C2×C4—2364no—
1660C2×C4—2364no—
1661C2×C4C22×C4×D5912yes—
1662C2×C4C22×C4×D5912yes—
1663C2×C4C22×C4×D5912yes—
1664C2×C4#1427377212yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—594no—
1694C22—1182no—
1695C22—1182no—
1696C22—1182no—
1697C22—1182no—
1698C22—1182no—
1699C22—1182no—
1700C22—1182no—
1701C22—1182no—
1702C22—1182no—
1703C22—1182no—
1704C22—1182no—
1705C22—1182no—
1706C22—4728no—
1707C22—23616no—
1708C22—2361no—
1709C22—2361no—
1710C22—2361no—
1711C22—2361no—
1712C22—2361no—
1713C22—2361no—
1714C22—2361no—
1715C22—2361no—
1716C22C23×C4×D5911yescharacteristic
1717C22H(5,𝔽2)×D5911yescharacteristic
1718C22H(5,𝔽2)×D5911yescharacteristic
1719C22H(5,𝔽2)×D5911yescharacteristic
1720C22C2×#1427377211yescharacteristic
1721C22#1683823711yescharacteristic
1722C22#1683823811yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—1182no—
1735C4—1182no—
1736C4—1182no—
1737C4—1182no—
1738C4—1182no—
1739C4—1182no—
1740C4—2361no—
1741C4—2361no—
1742C4—2361no—
1743C4—2361no—
1744C4—2361no—
1745C4—2361no—
1746C4—2361no—
1747C2—42no—
1748C2—42no—
1749C2—42no—
1750C2—42no—
1751C2—1184no—
1752C2—2362no—
1753C2—2362no—
1754C2#518×D5911yescharacteristic
1755C2#2143730011yescharacteristic
1756C2C4×#1427377211yescharacteristic
1757C2#2143825011yescharacteristic
1758C2#2143825611yescharacteristic
1759C2#2143840311yescharacteristic
1760C2#2143841411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2328C2
socle, cosocleC23×C59C25
prime radicalC2×#16837965C2
hypercenter#2328D59
hypocenterC59#34406
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2328

Complements

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

NH ≅ G/Ntype
2. #21427271C2semidirect
3. #21427267C2semidirect
4. #21427254C2semidirect
5. #21427247C2semidirect
6. #21427206C2semidirect
7. #21427159C2semidirect
8. #21427144C2semidirect
9. #21427141C2semidirect
10. #21427079C2semidirect
11. #21427077C2semidirect
12. #21427076C2semidirect
13. #21427073C2semidirect
14. #21426957C2semidirect
15. #21426949C2semidirect
16. #21426922C2semidirect
17. #21426922C2semidirect
18. #21426905C2semidirect
19. #21426905C2semidirect
20. #21426862C2semidirect
21. #21426855C2semidirect
22. #21426822C2semidirect
23. #21426797C2semidirect
24. #21426794C2semidirect
25. #21426755C2semidirect
26. #21426752C2semidirect
27. #21426670C2semidirect
28. #21426601C2semidirect
29. C4×#14273695C2semidirect
30. #386×D59C2semidirect
31. C59×#2328C2semidirect
35. #16837965C4semidirect
47. C2×D4×Dic59C22semidirect
48. C2×D4×Dic59C22semidirect
51. C2×C4×C22⋊D59C22semidirect
52. C2×C4×C22⋊D59C22semidirect
55. C2×(C22⋊D59)⋊C4C22semidirect
56. C2×(C22⋊D59)⋊C4C22semidirect
63. #16837306C22semidirect
64. #16837306C22semidirect
65. #16837306C22semidirect
66. #16837306C22semidirect
67. #16837305C22semidirect
68. #16837305C22semidirect
69. #16837302C22semidirect
70. #16837302C22semidirect
71. #16837302C22semidirect
72. #16837302C22semidirect
73. #16837296C22semidirect
74. #16837296C22semidirect
75. #16837296C22semidirect
76. #16837296C22semidirect
77. #16837294C22semidirect
78. #16837294C22semidirect
79. #16837293C22semidirect
80. #16837293C22semidirect
81. #16837292C22semidirect
82. #16837292C22semidirect
83. #16837291C22semidirect
84. #16837291C22semidirect
85. #16837290C22semidirect
86. #16837290C22semidirect
87. #16837290C22semidirect
88. #16837290C22semidirect
89. #16837289C22semidirect
90. #16837289C22semidirect
91. #16837286C22semidirect
92. #16837286C22semidirect
93. #16837284C22semidirect
94. #16837284C22semidirect
95. #16837283C22semidirect
96. #16837283C22semidirect
99. #16837282C22semidirect
100. #16837282C22semidirect
101. #16837282C22semidirect
102. #16837282C22semidirect
103. #16837282C22semidirect
104. #16837282C22semidirect
107. #16837281C22semidirect
108. #16837281C22semidirect
115. #16837279C22semidirect
116. #16837279C22semidirect
125. #16837278C22semidirect
126. #16837278C22semidirect
127. #16837278C22semidirect
128. #16837278C22semidirect
131. #16837276C22semidirect
132. #16837276C22semidirect
133. #16837275C22semidirect
134. #16837275C22semidirect
135. #16837274C22semidirect
136. #16837274C22semidirect
139. #16837273C22semidirect
140. #16837273C22semidirect
141. #16837269C22semidirect
142. #16837269C22semidirect
143. #16837268C22semidirect
146. #16837263C22semidirect
147. #16837263C22semidirect
148. #16837260C22semidirect
149. #16837260C22semidirect
152. #16837253C22semidirect
153. #16837253C22semidirect
154. C22⋊C4×Dic59C22semidirect
155. C22⋊C4×Dic59C22semidirect
156. C22⋊C4×Dic59C22semidirect
157. C22⋊C4×Dic59C22semidirect
160. C4×(C2×D59)⋊C4C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
162. C4×C22⋊Dic59C22semidirect
163. C4×C22⋊Dic59C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837248C22semidirect
169. C2×C59⋊#95C22semidirect
170. C2×C59⋊#95C22semidirect
174. C2×C4×D4×C59C22semidirect
175. C2×C4×D4×C59C22semidirect
176. C59×#390C22semidirect
177. C59×#390C22semidirect
180. C59×#386C22semidirect
181. C59×#386C22semidirect
182. C59×#386C22semidirect
183. C59×#386C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
186. C59×#382C22semidirect
187. C59×#376C22semidirect
192. C2×#11745687C2×C4semidirect
205. C2×D4×D59C2×C4semidirect
224. #14273723C2×C4semidirect
225. #14273715C2×C4semidirect
226. #14273714C2×C4semidirect
227. #14273699C2×C4semidirect
228. #14273699C2×C4semidirect
229. #14273699C2×C4semidirect
230. #14273699C2×C4semidirect
231. #14273695C2×C4semidirect
232. #14273695C2×C4semidirect
233. #14273695C2×C4semidirect
234. #14273695C2×C4semidirect
245. #14273684C2×C4semidirect
354. #127×C59C2×C4semidirect
418. C2×D4×C59C22×C4semidirect
419. C2×D4×C59C22×C4semidirect
420. C2×D4×C59C22×C4semidirect
466. C2×C22⋊D59C22×C4semidirect
467. C2×C22⋊D59C22×C4semidirect
484. C22×Dic59C22×C4semidirect
485. C22×Dic59C22×C4semidirect
534. C2×Dic118C22×C4semidirect
551. C42×C59C22×C4semidirect
566. C22⋊Dic59C22×C4semidirect
567. C22⋊Dic59C22×C4semidirect
588. (C2×D59)⋊C4C22×C4semidirect
589. (C2×D59)⋊C4C22×C4semidirect
600. Dic59⋊C4C22×C4semidirect
601. Dic59⋊C4C22×C4semidirect
612. C4×Dic59C22×C4semidirect
889. #2328D59semidirect
938. C2×C4×D4C2×D59semidirect
939. C2×C4×D4C2×D59semidirect
956. #390C2×D59semidirect
957. #390C2×D59semidirect
1016. #386C2×D59semidirect
1017. #386C2×D59semidirect
1018. #386C2×D59semidirect
1019. #386C2×D59semidirect
1020. #386C2×D59semidirect
1021. #386C2×D59semidirect
1037. #382C2×D59semidirect
1063. #376C2×D59semidirect
1068. C59#34406semidirect
1116. #127C4×D59semidirect
1331. C2×D4C2×C4×D59semidirect
1332. C2×D4C2×C4×D59semidirect
1333. C2×D4C2×C4×D59semidirect
1493. C42C2×C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168379652
#214272712
#214272672
#214272542
#214272472
#214272062
#214271592
#214271442
#214271412
#214270792
#214270772
#214270762
#214270732
#214269572
#214269492
#214269222
#214269052
#214268622
#214268552
#214268222
#214267972
#214267942
#214267552
#214267522
#214266702
#214266012
C4×#142736952
#386×D592
C59×#23282
#3440659