Finite Group Databasebeta

← #28757353

Subgroups — #28757353

Order 15104.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837912C211yesmaximal, characteristic, complemented
2C2×C4×#11745687C211yesmaximal, characteristic, complemented
3#21428301C211yesmaximal, characteristic, complemented
4#21428278C211yesmaximal, characteristic, complemented
5#21428213C211yesmaximal, characteristic, complemented
6#21428190C211yesmaximal, characteristic, complemented
7#21428117C211yesmaximal, characteristic, complemented
8#21428020C211yesmaximal, characteristic, complemented
9#21427997C211yesmaximal, characteristic, complemented
10#21427925C211yesmaximal, characteristic, complemented
11#21427843C211yesmaximal, characteristic, complemented
12#21427773C211yesmaximal, characteristic, complemented
13#21427699C211yesmaximal, characteristic, complemented
14#21427629C211yesmaximal, characteristic, complemented
15#21427555C211yesmaximal, characteristic, complemented
16#21427474C211yesmaximal, characteristic, complemented
17#21427410C211yesmaximal, characteristic, complemented
18#21427384C211yesmaximal, characteristic, complemented
19#21427373C211yesmaximal, characteristic, complemented
20#21427331C211yesmaximal, characteristic, complemented
21#21427308C211yesmaximal, characteristic, complemented
22#21426623C211yesmaximal, characteristic, complemented
23#123×Dic59C211yesmaximal, characteristic, complemented
24#21426612C211yesmaximal, characteristic, complemented
25#121×Dic59C211yesmaximal, characteristic, complemented
26#21426601C211yesmaximal, characteristic, complemented
27#21426581C211yesmaximal, characteristic, complemented
28#21426538C211yesmaximal, characteristic, complemented
29#21426532C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2464C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C22×#11745687C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837912—28no—
36C2×#14273709C2211yescharacteristic
37C2×#14273709C2211yescharacteristic
38C2×#14273709C2211yescharacteristic
39C2×#14273707C2211yescharacteristic
40C2×#14273706C2211yescharacteristic
41C2×#14273698C2211yescharacteristic
42C2×#14273698C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×#14273695C2211yescharacteristic
45C2×#14273695C2211yescharacteristic
46C4×#11745687—28no—
47C2×C4×Dic118C2211yescharacteristic, complemented
48C2×#14273692C2211yescharacteristic, complemented
49C2×D4×Dic59C2211yescharacteristic
50C2×D4×Dic59C2211yescharacteristic
51C2×D4×Dic59C2211yescharacteristic
52C2×D4×Dic59C2211yescharacteristic, complemented
53C2×D4×Dic59C2211yescharacteristic, complemented
54C2×C4×C22⋊D59C2211yescharacteristic
55C2×C4×C22⋊D59C2211yescharacteristic
56C2×(C22⋊D59)⋊C4C2211yescharacteristic
57C2×(C22⋊D59)⋊C4C2211yescharacteristic
58C2×(C22⋊D59)⋊C4C2211yescharacteristic
59C2×(C22⋊D59)⋊C4C2211yescharacteristic
60C2×#14273685C2211yescharacteristic
61C2×#14273685C2211yescharacteristic
62C2×#14273683C2211yescharacteristic, complemented
63C2×#14273683C2211yescharacteristic, complemented
64C2×#14273683C2211yescharacteristic, complemented
65C2×C22⋊C4×D59C2211yescharacteristic
66C2×C22⋊C4×D59C2211yescharacteristic
67C22×C4×Dic59C2211yescharacteristic, complemented
68C22×C4×Dic59C2211yescharacteristic, complemented
69C2×C42×D59C2211yescharacteristic
70C2×C42×D59C2211yescharacteristic
71#16837344C2211yescharacteristic, complemented
72#16837342C2211yescharacteristic, complemented
73#16837341C2211yescharacteristic, complemented
74#16837337C2211yescharacteristic
75#16837335C2211yescharacteristic, complemented
76#16837334C2211yescharacteristic, complemented
77#16837330C2211yescharacteristic
78#16837330C2211yescharacteristic, complemented
79#16837327C2211yescharacteristic, complemented
80#16837325C2211yescharacteristic
81#16837325C2211yescharacteristic, complemented
82#16837324C2211yescharacteristic
83#16837324C2211yescharacteristic
84#16837323C2211yescharacteristic, complemented
85#16837323C2211yescharacteristic, complemented
86#16837318C2211yescharacteristic
87#16837318C2211yescharacteristic
88#16837316C2211yescharacteristic
89#16837316C2211yescharacteristic
90#16837316C2211yescharacteristic
91#16837316C2211yescharacteristic, complemented
92#16837316C2211yescharacteristic, complemented
93#16837315C2211yescharacteristic
94#16837314C2211yescharacteristic
95#16837314C2211yescharacteristic, complemented
96#16837314C2211yescharacteristic, complemented
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic
99#16837306C2211yescharacteristic, complemented
100#16837306C2211yescharacteristic, complemented
101#16837305C2211yescharacteristic
102#16837302C2211yescharacteristic
103#16837302C2211yescharacteristic
104#16837301C2211yescharacteristic, complemented
105#16837300C2211yescharacteristic, complemented
106#16837296C2211yescharacteristic, complemented
107#16837296C2211yescharacteristic, complemented
108#16837295C2211yescharacteristic
109#16837295C2211yescharacteristic
110#16837295C2211yescharacteristic
111#16837295C2211yescharacteristic, complemented
112#16837295C2211yescharacteristic, complemented
113#16837294C2211yescharacteristic
114#16837292C2211yescharacteristic
115#16837290C2211yescharacteristic, complemented
116#16837289C2211yescharacteristic, complemented
117#16837288C2211yescharacteristic, complemented
118#16837288C2211yescharacteristic, complemented
119#16837287C2211yescharacteristic, complemented
120#16837286C2211yescharacteristic, complemented
121#16837286C2211yescharacteristic, complemented
122#16837284C2211yescharacteristic, complemented
123#16837283C2211yescharacteristic, complemented
124#16837282C2211yescharacteristic
125#16837282C2211yescharacteristic
126#16837282C2211yescharacteristic, complemented
127#16837282C2211yescharacteristic, complemented
128#16837281C2211yescharacteristic
129#16837281C2211yescharacteristic
130#16837279C2211yescharacteristic
131#16837279C2211yescharacteristic
132#16837278C2211yescharacteristic
133#16837278C2211yescharacteristic
134#16837278C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic
139#16837277C2211yescharacteristic, complemented
140#16837277C2211yescharacteristic, complemented
141#16837276C2211yescharacteristic
142#16837276C2211yescharacteristic
143#16837276C2211yescharacteristic
144#16837275C2211yescharacteristic
145#16837273C2211yescharacteristic
146#16837273C2211yescharacteristic
147#16837265C2211yescharacteristic, complemented
148#16837264C2211yescharacteristic
149#16837262C2211yescharacteristic, complemented
150#16837259C2211yescharacteristic
151#16837257C2211yescharacteristic
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4⋊C4×Dic59C2211yescharacteristic, complemented
154C4⋊C4×Dic59C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic
157C22⋊C4×Dic59C2211yescharacteristic
158C22⋊C4×Dic59C2211yescharacteristic
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic, complemented
161C22⋊C4×Dic59C2211yescharacteristic, complemented
162C22⋊C4×Dic59C2211yescharacteristic, complemented
163C22⋊C4×Dic59C2211yescharacteristic, complemented
164C4×(C2×D59)⋊C4C2211yescharacteristic
165C4×(C2×D59)⋊C4C2211yescharacteristic
166C4×C22⋊Dic59C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic
170#16837249C2211yescharacteristic
171#16837247C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic
173#95×D59C2211yescharacteristic
174C2×#123×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic
176C2×#121×C59C2211yescharacteristic
177C2×C4×D4×C59C2211yescharacteristic, complemented
178C59×#398C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic
180C59×#392C2211yescharacteristic
181C59×#392C2211yescharacteristic, complemented
182C59×#390C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic
186C59×#386C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C4×C22⋊C4×C59C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C2×#11745687—24no—
191C2×#11745687—24no—
192C2×#11745687—24no—
193C2×#11745687—24no—
194C2×#11745687—24no—
195C2×#11745687—42no—
196C22×Dic118C2311yescharacteristic
197C22×Dic118C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C22×C4×D59—24no—
211C22×C4×D59—24no—
212C22×C4×D59—42no—
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221#14273709—24no—
222#14273709—24no—
223#14273709—24no—
224#14273707—24no—
225#14273706—24no—
226#14273698—24no—
227#14273698—24no—
228#14273695—24no—
229#14273695—24no—
230#14273695—24no—
231C4×Dic118—24no—
232#14273692—24no—
233D4×Dic59—24no—
234D4×Dic59—24no—
235D4×Dic59—24no—
236D4×Dic59—42no—
237D4×Dic59—42no—
238C4×C22⋊D59—24no—
239C4×C22⋊D59—24no—
240(C22⋊D59)⋊C4—24no—
241(C22⋊D59)⋊C4—24no—
242(C22⋊D59)⋊C4—24no—
243(C22⋊D59)⋊C4D418yescomplemented
244#14273685—24no—
245#14273685—24no—
246#14273683—24no—
247#14273683—24no—
248#14273683—42no—
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
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
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C22⋊C4×D59—24no—
302C22⋊C4×D59—24no—
303C2×C4×Dic59—24no—
304C2×C4×Dic59—24no—
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C42×D59—24no—
321C42×D59—42no—
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
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C22×D4×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C22×D4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359C23×C4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361#123×C59—24no—
362#121×C59—24no—
363#121×C59—24no—
364C4×D4×C59—24no—
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C42×C59C2311yescharacteristic
384C2×C42×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C24×C59C2411yescharacteristic
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—22no—
400C23×D59—41no—
401C23×D59—41no—
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C2×D4×C59—22no—
405C2×D4×C59—22no—
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C22×C4×C59—22no—
423C22×C4×C59—22no—
424C22×C4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—22no—
427C22×C4×C59—22no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
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
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59C2×D414yes—
459C2×C22⋊D59#4114yescomplemented
460C22×Dic59—22no—
461C22×Dic59—22no—
462C22×Dic59—22no—
463C22×Dic59—22no—
464C22×Dic59—22no—
465C22×Dic59—22no—
466C22×Dic59—22no—
467C22×Dic59—22no—
468C22×Dic59—22no—
469C22×Dic59—22no—
470C22×Dic59—22no—
471C22×Dic59—22no—
472C22×Dic59—22no—
473C22×Dic59—22no—
474C22×Dic59—22no—
475C22×Dic59—22no—
476C22×Dic59—22no—
477C22×Dic59C2×D414yes—
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492#11745687—232no—
493#11745687—416no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—22no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
501C2×C4×D59—22no—
502C2×C4×D59—22no—
503C2×C4×D59—22no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—416no—
510C2×C4×D59—41no—
511C2×C4×D59—41no—
512C2×C4×D59—41no—
513C2×C4×D59—41no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59C2×D414yes—
517C2×C4×D59#4114yescomplemented
518C2×C4×D59#4114yescomplemented
519C2×Dic118—22no—
520C2×Dic118—22no—
521C2×Dic118—22no—
522C2×Dic118—22no—
523C2×Dic118—22no—
524C2×Dic118—41no—
525C4⋊C4×C59—22no—
526C4⋊C4×C59—22no—
527C4⋊C4×C59—22no—
528C4⋊C4×C59—22no—
529C4⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—22no—
534C22⋊C4×C59—22no—
535C22⋊C4×C59—22no—
536C22⋊C4×C59—22no—
537C22⋊C4×C59—22no—
538C22⋊C4×C59—41no—
539C22⋊C4×C59—41no—
540C22⋊C4×C59—41no—
541C22⋊C4×C59C2×D414yes—
542C22⋊C4×C59#4114yescomplemented
543C42×C59—22no—
544C42×C59—41no—
545C22⋊Dic59—22no—
546C22⋊Dic59—22no—
547C22⋊Dic59—22no—
548C22⋊Dic59—22no—
549C22⋊Dic59—22no—
550C22⋊Dic59—22no—
551C22⋊Dic59—22no—
552C22⋊Dic59—22no—
553C22⋊Dic59—22no—
554C22⋊Dic59—22no—
555C22⋊Dic59—22no—
556C22⋊Dic59—22no—
557C22⋊Dic59—41no—
558C22⋊Dic59—41no—
559C22⋊Dic59—41no—
560C22⋊Dic59—41no—
561C22⋊Dic59—41no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—22no—
568(C2×D59)⋊C4—22no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—22no—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—22no—
575(C2×D59)⋊C4—22no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4C2×D414yes—
578C4⋊Dic59—22no—
579C4⋊Dic59—22no—
580C4⋊Dic59—22no—
581C4⋊Dic59—22no—
582C4⋊Dic59—22no—
583C4⋊Dic59—22no—
584C4⋊Dic59—41no—
585C4⋊Dic59—41no—
586C4⋊Dic59—41no—
587Dic59⋊C4—22no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593Dic59⋊C4—41no—
594Dic59⋊C4—41no—
595Dic59⋊C4—41no—
596Dic59⋊C4C2×D414yes—
597C4×Dic59—22no—
598C4×Dic59—22no—
599C4×Dic59—22no—
600C4×Dic59—22no—
601C4×Dic59—22no—
602C4×Dic59—22no—
603C4×Dic59—22no—
604C4×Dic59—22no—
605C4×Dic59—22no—
606C4×Dic59—22no—
607C4×Dic59—22no—
608C4×Dic59—22no—
609C4×Dic59—22no—
610C4×Dic59—41no—
611C4×Dic59C2×D414yes—
612C23×C59—21no—
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×C59C22×D412yes—
638C23×C59C2×#4112yes—
639C23×C59C2×#4112yes—
640C23×C59C2511yescharacteristic
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—21no—
645C22×D59—28no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—44no—
653C22×D59—44no—
654C22×D59—44no—
655C22×D59—44no—
656C22×D59—44no—
657C22×D59—44no—
658C22×D59C22×D412yes—
659C22×D59C2×#4112yes—
660C22×D59C2×#4112yes—
661C22×D59C2×#4112yes—
662D4×C59—28no—
663D4×C59—44no—
664D4×C59—44no—
665D4×C59—44no—
666D4×C59—44no—
667D4×C59—44no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—44no—
696C2×C4×C59—44no—
697C2×C4×C59—44no—
698C2×C4×C59C22×D412yes—
699C2×C4×C59C22×D412yes—
700C2×C4×C59C2×#4112yes—
701C2×C4×C59C2×#4112yes—
702C2×C4×C59C2×#4112yes—
703C2×C4×C59C2×#4112yes—
704C22⋊D59—28no—
705C22⋊D59—28no—
706C22⋊D59—44no—
707C22⋊D59—44no—
708C22⋊D59—44no—
709C22⋊D59—44no—
710C2×Dic59—28no—
711C2×Dic59—28no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—28no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
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—44no—
749C2×Dic59—44no—
750C2×Dic59—44no—
751C2×Dic59C22×D412yes—
752C2×Dic59C22×D412yes—
753C2×Dic59C22×D412yes—
754C2×Dic59C2×#4112yes—
755C2×Dic59C2×#4112yes—
756C2×Dic59C2×#4112yes—
757C2×Dic59H(5,𝔽2)12yes—
758C4×D59—28no—
759C4×D59—28no—
760C4×D59—28no—
761C4×D59—44no—
762C4×D59—44no—
763C4×D59—44no—
764C4×D59—44no—
765C4×D59—44no—
766Dic118—28no—
767Dic118—44no—
768#34732—591nomaximal, Sylow
769C22×C59—22no—
770C22×C59—22no—
771C22×C59—22no—
772C22×C59—22no—
773C22×C59—22no—
774C22×C59—22no—
775C22×C59—22no—
776C22×C59—22no—
777C22×C59—22no—
778C22×C59—41no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59—41no—
793C22×C59—41no—
794C22×C59—41no—
795C22×C59—41no—
796C22×C59—41no—
797C22×C59C23×D411yescharacteristic
798C22×C59C22×#4111yescharacteristic
799C22×C59C22×#4111yescharacteristic
800C22×C59C22×#4111yescharacteristic
801C22×C59C22×#4111yescharacteristic
802C22×C59C2×H(5,𝔽2)11yescharacteristic
803C22×C59#58511yescharacteristic
804C2×D59—22no—
805C2×D59—22no—
806C2×D59—22no—
807C2×D59—22no—
808C2×D59—22no—
809C2×D59—22no—
810C2×D59—22no—
811C2×D59—22no—
812C2×D59—22no—
813C2×D59—416no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59#52514yes—
819C4×C59—22no—
820C4×C59—22no—
821C4×C59—22no—
822C4×C59—22no—
823C4×C59—22no—
824C4×C59—22no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830Dic59—22no—
831Dic59—22no—
832Dic59—22no—
833Dic59—22no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838Dic59—41no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59#54614yes—
844C2×#525—591no—
845C2×C4×#41—591no—
846#2477—591no—
847#2476—591no—
848#2471—591no—
849#2470—591no—
850#2465—591no—
851#2464D5911yescharacteristic, complemented
852#2458—591no—
853#2457—591no—
854#2450—591no—
855#2444—591no—
856#2438—591no—
857#2430—591no—
858#2424—591no—
859#2418—591no—
860#2411—591no—
861#2404—591no—
862#2398—591no—
863#2396—591no—
864#2392—591no—
865#2388—591no—
866C4×#123—591no—
867C4×#123—591no—
868C4×#121—591no—
869C4×#121—591no—
870C4×#120—591no—
871#2297—591no—
872#2290—591no—
873#2290—591no—
874C2×C4×C22⋊C4—591no—
875C2×C59—42no—
876C2×C59—42no—
877C2×C59—42no—
878C2×C59—81no—
879C2×C59C2×#52511yescharacteristic
880C2×C59#344411yescharacteristic
881C2×C59#346011yescharacteristic
882C2×C59C2×#54611yescharacteristic
883C2×C59D4×#4111yescharacteristic
884C2×C59#347511yescharacteristic
885C2×C59#348111yescharacteristic
886D59—24no—
887D59—42no—
888C22×#41—591no—
889C22×#41—591no—
890C24×C4—591no—
891#525—1188no—
892C2×#123—591no—
893C2×#123—591no—
894C2×#123—591no—
895C2×#123C2×D5911yescharacteristic
896C2×C22⋊Q8—591no—
897C2×C22⋊Q8—591no—
898C2×#121—591no—
899C2×#121—591no—
900C2×#121C2×D5911yescharacteristic
901C2×#121C2×D5911yescharacteristic
902C2×#120—591no—
903C2×#120—591no—
904C2×#120—591no—
905C4×#41—1188no—
906C2×C4×Q8—591no—
907C2×C4×Q8—591no—
908C2×C4×D4—591no—
909C2×C4×D4—591no—
910C2×C4×D4—591no—
911C2×C4×D4—591no—
912C2×C4×D4—591no—
913C2×C4×D4—591no—
914C2×C4×D4—591no—
915C2×C4×D4—591no—
916C2×C4×D4—591no—
917C2×C4×D4—591no—
918C2×C4×D4—591no—
919C2×C4×D4C2×D5911yescharacteristic, complemented
920C2×#117—591no—
921C2×#117—591no—
922C2×#117—591no—
923C2×#117—591no—
924C2×#117—591no—
925C22×C22⋊C4—591no—
926C22×C22⋊C4—591no—
927C22×C42—591no—
928C22×C42—591no—
929C22×C42—591no—
930C22×C42—591no—
931#400—591no—
932#400—591no—
933#400—591no—
934#399—591no—
935#398—591no—
936#398—591no—
937#398C2×D5911yescharacteristic, complemented
938#397—591no—
939#397—591no—
940#397—591no—
941#396—591no—
942#396—591no—
943#396—591no—
944#396—591no—
945#395—591no—
946#395—591no—
947#394—591no—
948#394—591no—
949#394—591no—
950#394—591no—
951#394—591no—
952#394—591no—
953#394—591no—
954#394C2×D5911yescharacteristic
955#393—591no—
956#393—591no—
957#393—591no—
958#393—591no—
959#392—591no—
960#392—591no—
961#392C2×D5911yescharacteristic
962#392C2×D5911yescharacteristic, complemented
963#391—591no—
964#391—591no—
965#390—591no—
966#390—591no—
967#390—591no—
968#390C2×D5911yescharacteristic, complemented
969#389—591no—
970#389—591no—
971#388—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388C2×D5911yescharacteristic, complemented
982#388C2×D5911yescharacteristic, complemented
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#387—591no—
989#387—591no—
990#387—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#386C2×D5911yescharacteristic
1007#386C2×D5911yescharacteristic, complemented
1008#385—591no—
1009#385—591no—
1010#385—591no—
1011#385—591no—
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385C2×D5911yescharacteristic, complemented
1017#381—591no—
1018#381—591no—
1019#380—591no—
1020#380—591no—
1021#379—591no—
1022C4×C4⋊C4—591no—
1023C4×C4⋊C4—591no—
1024C4×C4⋊C4—591no—
1025C4×C4⋊C4—591no—
1026C4×C22⋊C4—591no—
1027C4×C22⋊C4—591no—
1028C4×C22⋊C4—591no—
1029C4×C22⋊C4—591no—
1030C4×C22⋊C4—591no—
1031C4×C22⋊C4—591no—
1032C4×C22⋊C4—591no—
1033C4×C22⋊C4—591no—
1034C4×C22⋊C4—591no—
1035C4×C22⋊C4—591no—
1036C4×C22⋊C4—591no—
1037C4×C22⋊C4—591no—
1038C4×C22⋊C4—591no—
1039C4×C22⋊C4—591no—
1040C4×C22⋊C4—591no—
1041C4×C22⋊C4C2×D5911yescharacteristic
1042#376—591no—
1043C2×#95—591no—
1044C2×#95—591no—
1045C59#3473211yescharacteristic, complemented, Sylow
1046C25—591no—
1047C2×#41—1184no—
1048C2×#41—1184no—
1049C2×#41—1184no—
1050C2×#41—1184no—
1051C2×#41—1184no—
1052C2×#41—2362no—
1053C22×Q8—591no—
1054C22×Q8—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—591no—
1061C22×D4C22×D5911yescharacteristic
1062C22×D4C22×D5911yescharacteristic
1063C22×D4C22×D5911yescharacteristic
1064C22×D4C22×D5911yescharacteristic
1065C22×D4C22×D5911yescharacteristic
1066C22×D4C22×D5911yescharacteristic
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—591no—
1076C23×C4—591no—
1077C23×C4—591no—
1078C23×C4—591no—
1079C23×C4—591no—
1080C23×C4—591no—
1081C23×C4—1184no—
1082C23×C4—1184no—
1083C23×C4—2362no—
1084C23×C4C22×D5911yescharacteristic
1085C23×C4C22×D5911yescharacteristic
1086C23×C4C22×D5911yescharacteristic
1087#123—24no—
1088#123—1184no—
1089#123—1184no—
1090#123—1184no—
1091C22⋊Q8—1184no—
1092C22⋊Q8—1184no—
1093#121—24no—
1094#121—24no—
1095#121—1184no—
1096#121—1184no—
1097#120—1184no—
1098#120—1184no—
1099#120—1184no—
1100C4×Q8—1184no—
1101C4×Q8—1184no—
1102C4×D4—24no—
1103C4×D4—598no—
1104C4×D4—1184no—
1105C4×D4—1184no—
1106C4×D4—1184no—
1107C4×D4—1184no—
1108C4×D4—1184no—
1109C4×D4—1184no—
1110C4×D4—1184no—
1111C4×D4—1184no—
1112C4×D4—2362no—
1113C4×D4—2362no—
1114#117—1184no—
1115#117—1184no—
1116#117—1184no—
1117#117—1184no—
1118#117—2362no—
1119C2×C4⋊C4—591no—
1120C2×C4⋊C4—591no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4—591no—
1124C2×C4⋊C4—591no—
1125C2×C4⋊C4—591no—
1126C2×C4⋊C4—591no—
1127C2×C4⋊C4—591no—
1128C2×C4⋊C4—591no—
1129C2×C4⋊C4—591no—
1130C2×C4⋊C4—591no—
1131C2×C4⋊C4—591no—
1132C2×C4⋊C4—591no—
1133C2×C4⋊C4—591no—
1134C2×C4⋊C4—591no—
1135C2×C4⋊C4—591no—
1136C2×C4⋊C4—591no—
1137C2×C4⋊C4—591no—
1138C2×C4⋊C4C22×D5911yescharacteristic
1139C2×C4⋊C4C22×D5911yescharacteristic
1140C2×C4⋊C4C22×D5911yescharacteristic
1141C2×C4⋊C4C22×D5911yescharacteristic
1142C2×C4⋊C4C22×D5911yescharacteristic
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
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—1184no—
1177C2×C22⋊C4—1184no—
1178C2×C22⋊C4C22×D5911yescharacteristic
1179C2×C22⋊C4C22×D5911yescharacteristic
1180C2×C22⋊C4C22×D5911yescharacteristic
1181C2×C22⋊C4C22×D5911yescharacteristic
1182C2×C22⋊C4C22×D5911yescharacteristic
1183C2×C22⋊C4C22×D5911yescharacteristic
1184C2×C22⋊C4C22×D5911yescharacteristic
1185C2×C22⋊C4C22×D5911yescharacteristic
1186C2×C22⋊C4C22×D5911yescharacteristic
1187C2×C22⋊C4C22×D5911yescharacteristic
1188C2×C22⋊C4C22×D5911yescharacteristic
1189C2×C22⋊C4C22×D5911yescharacteristic
1190C2×C22⋊C4C22×D5911yescharacteristic
1191C2×C42—591no—
1192C2×C42—591no—
1193C2×C42—591no—
1194C2×C42—591no—
1195C2×C42—591no—
1196C2×C42—591no—
1197C2×C42—591no—
1198C2×C42—591no—
1199C2×C42—591no—
1200C2×C42—591no—
1201C2×C42—591no—
1202C2×C42—591no—
1203C2×C42—591no—
1204C2×C42—591no—
1205C2×C42—591no—
1206C2×C42—1184no—
1207C2×C42—1184no—
1208C2×C42—1184no—
1209C2×C42—2362no—
1210C2×C42C22×D5911yescharacteristic
1211C2×C42C22×D5911yescharacteristic
1212#95—591no—
1213#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
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#95C22×D5911yescharacteristic
1243#95C22×D5911yescharacteristic
1244#95C22×D5911yescharacteristic
1245#95C22×D5911yescharacteristic
1246#95C22×D5911yescharacteristic
1247#95C22×D5911yescharacteristic
1248C24—591no—
1249C24—591no—
1250C24—1182no—
1251C24—1182no—
1252C24—1182no—
1253C24—1182no—
1254C24—1182no—
1255C24—2361no—
1256C24—2361no—
1257C24C23×D5911yescharacteristic
1258C24C23×D5911yescharacteristic
1259C24C23×D5911yescharacteristic
1260C24C23×D5911yescharacteristic
1261#41—11832no—
1262#41—23616no—
1263C2×Q8—1182no—
1264C2×Q8—1182no—
1265C2×Q8—1182no—
1266C2×Q8—1182no—
1267C2×Q8—1182no—
1268C2×Q8—2361no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—594no—
1288C2×D4—594no—
1289C2×D4—1182no—
1290C2×D4—1182no—
1291C2×D4—1182no—
1292C2×D4—1182no—
1293C2×D4—1182no—
1294C2×D4—1182no—
1295C2×D4—1182no—
1296C2×D4—1182no—
1297C2×D4—1182no—
1298C2×D4—1182no—
1299C2×D4—1182no—
1300C2×D4—1182no—
1301C2×D4—1182no—
1302C2×D4—2361no—
1303C2×D4—2361no—
1304C2×D4—2361no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—591no—
1315C22×C4—594no—
1316C22×C4—591no—
1317C22×C4—591no—
1318C22×C4—591no—
1319C22×C4—591no—
1320C22×C4—594no—
1321C22×C4—594no—
1322C22×C4—594no—
1323C22×C4—591no—
1324C22×C4—591no—
1325C22×C4—591no—
1326C22×C4—591no—
1327C22×C4—591no—
1328C22×C4—591no—
1329C22×C4—591no—
1330C22×C4—591no—
1331C22×C4—591no—
1332C22×C4—1182no—
1333C22×C4—1182no—
1334C22×C4—1182no—
1335C22×C4—1182no—
1336C22×C4—1182no—
1337C22×C4—1182no—
1338C22×C4—1182no—
1339C22×C4—1182no—
1340C22×C4—1182no—
1341C22×C4—1182no—
1342C22×C4—1182no—
1343C22×C4—1182no—
1344C22×C4—1182no—
1345C22×C4—1182no—
1346C22×C4—1182no—
1347C22×C4—1182no—
1348C22×C4—1182no—
1349C22×C4—1182no—
1350C22×C4—1182no—
1351C22×C4—1182no—
1352C22×C4—1182no—
1353C22×C4—1182no—
1354C22×C4—1182no—
1355C22×C4—1182no—
1356C22×C4—1182no—
1357C22×C4—1182no—
1358C22×C4—1182no—
1359C22×C4—1182no—
1360C22×C4—1182no—
1361C22×C4—1182no—
1362C22×C4—1182no—
1363C22×C4—1182no—
1364C22×C4—2361no—
1365C22×C4—2361no—
1366C22×C4—2361no—
1367C22×C4—2361no—
1368C22×C4—2361no—
1369C22×C4—2361no—
1370C22×C4—23616no—
1371C22×C4C23×D5911yescharacteristic
1372C22×C4C23×D5911yescharacteristic
1373C22×C4C23×D5911yescharacteristic
1374C22×C4C23×D5911yescharacteristic
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C22×C4C23×D5911yescharacteristic
1378C22×C4C23×D5911yescharacteristic
1379C22×C4C23×D5911yescharacteristic
1380C22×C4C23×D5911yescharacteristic
1381C22×C4C23×D5911yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—594no—
1388C4⋊C4—1182no—
1389C4⋊C4—1182no—
1390C4⋊C4—1182no—
1391C4⋊C4—1182no—
1392C4⋊C4—1182no—
1393C4⋊C4—1182no—
1394C4⋊C4—1182no—
1395C4⋊C4—1182no—
1396C4⋊C4—1182no—
1397C4⋊C4—1182no—
1398C4⋊C4—1182no—
1399C4⋊C4—1182no—
1400C4⋊C4—2361no—
1401C4⋊C4—2361no—
1402C4⋊C4—2361no—
1403C4⋊C4—2361no—
1404C4⋊C4—2361no—
1405C4⋊C4—2361no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—594no—
1418C22⋊C4—1182no—
1419C22⋊C4—1182no—
1420C22⋊C4—1182no—
1421C22⋊C4—1182no—
1422C22⋊C4—1182no—
1423C22⋊C4—1182no—
1424C22⋊C4—1182no—
1425C22⋊C4—1182no—
1426C22⋊C4—1182no—
1427C22⋊C4—1182no—
1428C22⋊C4—1182no—
1429C22⋊C4—1182no—
1430C22⋊C4—1182no—
1431C22⋊C4—1182no—
1432C22⋊C4—1182no—
1433C22⋊C4—1182no—
1434C22⋊C4—1182no—
1435C22⋊C4—1182no—
1436C22⋊C4—1182no—
1437C22⋊C4—1182no—
1438C22⋊C4—1182no—
1439C22⋊C4—1182no—
1440C22⋊C4—1182no—
1441C22⋊C4—1182no—
1442C22⋊C4—2361no—
1443C22⋊C4—2361no—
1444C22⋊C4—2361no—
1445C22⋊C4—2361no—
1446C22⋊C4—2361no—
1447C22⋊C4—2361no—
1448C22⋊C4—2361no—
1449C22⋊C4—2361no—
1450C22⋊C4D4×D5914yes—
1451C22⋊C4#1174568714yescomplemented
1452C42—22no—
1453C42—41no—
1454C42—594no—
1455C42—1182no—
1456C42—1182no—
1457C42—1182no—
1458C42—1182no—
1459C42—1182no—
1460C42—1182no—
1461C42—1182no—
1462C42—1182no—
1463C42—1182no—
1464C42—1182no—
1465C42—1182no—
1466C42—1182no—
1467C42—1182no—
1468C42—2361no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—592no—
1495C23—592no—
1496C23—592no—
1497C23—592no—
1498C23—1188no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1181no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—1181no—
1508C23—1181no—
1509C23—2364no—
1510C23—2364no—
1511C23—2364no—
1512C23—2364no—
1513C23—2364no—
1514C23—2364no—
1515C23C2×D4×D5912yes—
1516C23#41×D5912yes—
1517C23C2×#1174568712yes—
1518C23C24×D5911yescharacteristic
1519Q8—1188no—
1520Q8—2364no—
1521D4—28no—
1522D4—44no—
1523D4—44no—
1524D4—44no—
1525D4—44no—
1526D4—44no—
1527D4—1188no—
1528D4—1188no—
1529D4—2364no—
1530D4—2364no—
1531D4—2364no—
1532D4—2364no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—592no—
1564C2×C4—592no—
1565C2×C4—592no—
1566C2×C4—592no—
1567C2×C4—592no—
1568C2×C4—592no—
1569C2×C4—592no—
1570C2×C4—1188no—
1571C2×C4—1188no—
1572C2×C4—1188no—
1573C2×C4—1188no—
1574C2×C4—1188no—
1575C2×C4—1188no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—2364no—
1612C2×C4—2364no—
1613C2×C4—2364no—
1614C2×C4—2364no—
1615C2×C4—2364no—
1616C2×C4—2364no—
1617C2×C4—2364no—
1618C2×C4—2364no—
1619C2×C4C2×D4×D5912yes—
1620C2×C4C2×D4×D5912yes—
1621C2×C4#41×D5912yes—
1622C2×C4#41×D5912yes—
1623C2×C4C2×#1174568712yes—
1624C2×C4C2×#1174568712yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—594no—
1654C22—1182no—
1655C22—1182no—
1656C22—1182no—
1657C22—1182no—
1658C22—1182no—
1659C22—1182no—
1660C22—1182no—
1661C22—1182no—
1662C22—1182no—
1663C22—23616no—
1664C22—2361no—
1665C22—2361no—
1666C22—2361no—
1667C22—2361no—
1668C22C22×D4×D5911yescharacteristic
1669C22C2×#41×D5911yescharacteristic
1670C22C2×#41×D5911yescharacteristic
1671C22C2×#41×D5911yescharacteristic
1672C22C22×#1174568711yescharacteristic
1673C22H(5,𝔽2)×D5911yescharacteristic
1674C22#1683823711yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—594no—
1687C4—1182no—
1688C4—1182no—
1689C4—1182no—
1690C4—1182no—
1691C4—2361no—
1692C4—2361no—
1693C4—2361no—
1694C4—2361no—
1695C4—2361no—
1696C4—2361no—
1697C4—2361no—
1698C4—2361no—
1699C4—2361no—
1700C2—42no—
1701C2—42no—
1702C2—42no—
1703C2—81no—
1704C2—1184no—
1705C2—2362no—
1706C2#525×D5911yescharacteristic
1707C2#2143739111yescharacteristic
1708C2#2143751111yescharacteristic
1709C2#546×D5911yescharacteristic
1710C2D4×#1174568711yescharacteristic
1711C2#2143765511yescharacteristic
1712C2#2143770111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2464C2
hypercenter#2464D59
hypocenterC59#34732
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2464

Complements

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

NH ≅ G/Ntype
1. C2×#16837912C2semidirect
2. C2×C4×#11745687C2semidirect
3. #21428301C2semidirect
4. #21428278C2semidirect
5. #21428213C2semidirect
6. #21428190C2semidirect
7. #21428117C2semidirect
8. #21428020C2semidirect
9. #21427997C2semidirect
10. #21427925C2semidirect
11. #21427843C2semidirect
12. #21427773C2semidirect
13. #21427699C2semidirect
14. #21427629C2semidirect
15. #21427555C2semidirect
16. #21427474C2semidirect
17. #21427410C2semidirect
18. #21427384C2semidirect
19. #21427373C2semidirect
20. #21427331C2semidirect
21. #21427308C2semidirect
22. #21426623C2semidirect
23. #123×Dic59C2semidirect
24. #21426612C2semidirect
25. #121×Dic59C2semidirect
26. #21426601C2semidirect
27. #21426581C2semidirect
28. #21426538C2semidirect
29. #21426532C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2464C2semidirect
47. C2×C4×Dic118C22semidirect
48. C2×#14273692C22semidirect
52. C2×D4×Dic59C22semidirect
53. C2×D4×Dic59C22semidirect
62. C2×#14273683C22semidirect
63. C2×#14273683C22semidirect
64. C2×#14273683C22semidirect
67. C22×C4×Dic59C22semidirect
68. C22×C4×Dic59C22semidirect
71. #16837344C22semidirect
72. #16837342C22semidirect
73. #16837341C22semidirect
75. #16837335C22semidirect
76. #16837334C22semidirect
78. #16837330C22semidirect
79. #16837327C22semidirect
81. #16837325C22semidirect
84. #16837323C22semidirect
85. #16837323C22semidirect
91. #16837316C22semidirect
92. #16837316C22semidirect
95. #16837314C22semidirect
96. #16837314C22semidirect
99. #16837306C22semidirect
100. #16837306C22semidirect
104. #16837301C22semidirect
105. #16837300C22semidirect
106. #16837296C22semidirect
107. #16837296C22semidirect
111. #16837295C22semidirect
112. #16837295C22semidirect
115. #16837290C22semidirect
116. #16837289C22semidirect
117. #16837288C22semidirect
118. #16837288C22semidirect
119. #16837287C22semidirect
120. #16837286C22semidirect
121. #16837286C22semidirect
122. #16837284C22semidirect
123. #16837283C22semidirect
126. #16837282C22semidirect
127. #16837282C22semidirect
139. #16837277C22semidirect
140. #16837277C22semidirect
147. #16837265C22semidirect
149. #16837262C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4⋊C4×Dic59C22semidirect
154. C4⋊C4×Dic59C22semidirect
155. #16837253C22semidirect
159. C22⋊C4×Dic59C22semidirect
160. C22⋊C4×Dic59C22semidirect
161. C22⋊C4×Dic59C22semidirect
162. C22⋊C4×Dic59C22semidirect
163. C22⋊C4×Dic59C22semidirect
171. #16837247C22semidirect
177. C2×C4×D4×C59C22semidirect
178. C59×#398C22semidirect
181. C59×#392C22semidirect
182. C59×#390C22semidirect
183. C59×#388C22semidirect
184. C59×#388C22semidirect
186. C59×#386C22semidirect
187. C59×#385C22semidirect
243. (C22⋊D59)⋊C4D4semidirect
459. C2×C22⋊D59#41semidirect
517. C2×C4×D59#41semidirect
518. C2×C4×D59#41semidirect
542. C22⋊C4×C59#41semidirect
851. #2464D59semidirect
919. C2×C4×D4C2×D59semidirect
937. #398C2×D59semidirect
962. #392C2×D59semidirect
968. #390C2×D59semidirect
981. #388C2×D59semidirect
982. #388C2×D59semidirect
1007. #386C2×D59semidirect
1016. #385C2×D59semidirect
1045. C59#34732semidirect
1451. C22⋊C4#11745687semidirect

Maximal subgroups

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

subgroupindex
C2×#168379122
C2×C4×#117456872
#214283012
#214282782
#214282132
#214281902
#214281172
#214280202
#214279972
#214279252
#214278432
#214277732
#214276992
#214276292
#214275552
#214274742
#214274102
#214273842
#214273732
#214273312
#214273082
#214266232
#123×Dic592
#214266122
#121×Dic592
#214266012
#214265812
#214265382
#214265322
C4×C22⋊C4×D592
C59×#24642
#3473259