Finite Group Databasebeta

← #28757507

Subgroups — #28757507

Order 15104.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837938C211yesmaximal, characteristic, complemented
2C22×#14273685C211yesmaximal, characteristic, complemented
3#21428351C211yesmaximal, characteristic, complemented
4#21428344C211yesmaximal, characteristic, complemented
5#21428325C211yesmaximal, characteristic, complemented
6#21428318C211yesmaximal, characteristic, complemented
7#21428293C211yesmaximal, characteristic, complemented
8#21428286C211yesmaximal, characteristic, complemented
9#21428262C211yesmaximal, characteristic, complemented
10#21428255C211yesmaximal, characteristic, complemented
11#21428236C211yesmaximal, characteristic, complemented
12#21428229C211yesmaximal, characteristic, complemented
13#21428200C211yesmaximal, characteristic, complemented
14#21428193C211yesmaximal, characteristic, complemented
15#21427829C211yesmaximal, characteristic, complemented
16#21427626C211yesmaximal, characteristic
17#21427556C211yesmaximal, characteristic, complemented
18#21427367C211yesmaximal, characteristic, complemented
19#21427361C211yesmaximal, characteristic, complemented
20#21427360C211yesmaximal, characteristic, complemented
21#21427341C211yesmaximal, characteristic, complemented
22C22⋊Q8×Dic59C211yesmaximal, characteristic, complemented
23#21426606C211yesmaximal, characteristic, complemented
24#21426601C211yesmaximal, characteristic, complemented
25#21426597C211yesmaximal, characteristic, complemented
26#21426588C211yesmaximal, characteristic, complemented
27#21426554C211yesmaximal, characteristic, complemented
28#21426532C211yesmaximal, characteristic, complemented
29#21426532C211yesmaximal, characteristic, complemented
30C4×D4×Dic59C211yesmaximal, characteristic, complemented
31C59×#2449C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33#16837938—28no—
34C2×#14273722C2211yescharacteristic
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273718C2211yescharacteristic, complemented
37C2×#14273716C2211yescharacteristic
38C2×#14273711C2211yescharacteristic
39C2×#14273711C2211yescharacteristic, complemented
40C2×#14273701C2211yescharacteristic
41C2×#14273699C2211yescharacteristic
42C2×#14273697C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×Q8×Dic59C2211yescharacteristic, complemented
45C2×D4×Dic59C2211yescharacteristic
46C2×D4×Dic59C2211yescharacteristic
47C2×#14273689C2211yescharacteristic
48C2×#14273689C2211yescharacteristic
49C2×(C22⋊D59)⋊C4C2211yescharacteristic
50C2×(C22⋊D59)⋊C4C2211yescharacteristic
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
53C2×#14273685—28no—
54C2×#14273685C2211yescharacteristic
55C2×#14273685C2211yescharacteristic
56C2×#14273685C2211yescharacteristic
57C2×#14273685C2211yescharacteristic
58C2×#14273685C2211yescharacteristic
59C2×#14273685C2211yescharacteristic
60C2×#14273685C2211yescharacteristic
61C2×#14273685C2211yescharacteristic
62C2×#14273685C2211yescharacteristic, complemented
63C22×C4⋊Dic59C2211yescharacteristic
64C22×(C2×D59)⋊C4C2211yescharacteristic
65C22×(C2×D59)⋊C4C2211yescharacteristic
66C22×C4×Dic59C2211yescharacteristic
67C22×C4×Dic59C2211yescharacteristic
68C22×C4×Dic59C2211yescharacteristic, complemented
69#16837341C2211yescharacteristic, complemented
70#16837341C2211yescharacteristic, complemented
71#16837340C2211yescharacteristic, complemented
72#16837339C2211yescharacteristic
73#16837339C2211yescharacteristic, complemented
74#16837335C2211yescharacteristic, complemented
75#16837334C2211yescharacteristic, complemented
76#16837334C2211yescharacteristic, complemented
77#16837334C2211yescharacteristic, complemented
78#16837331C2211yescharacteristic
79#16837329C2211yescharacteristic
80#16837329C2211yescharacteristic
81#16837328C2211yescharacteristic
82#16837328C2211yescharacteristic
83#16837328C2211yescharacteristic, complemented
84#16837327C2211yescharacteristic, complemented
85#16837324C2211yescharacteristic
86#16837324C2211yescharacteristic
87#16837324C2211yescharacteristic, complemented
88#16837319C2211yescharacteristic
89#16837319C2211yescharacteristic
90#16837319C2211yescharacteristic
91#16837318C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837318C2211yescharacteristic
94#16837318C2211yescharacteristic, complemented
95#16837313C2211yescharacteristic
96#16837311C2211yescharacteristic
97#16837309C2211yescharacteristic, complemented
98#16837304C2211yescharacteristic
99#16837303C2211yescharacteristic
100#16837302C2211yescharacteristic, complemented
101#16837301C2211yescharacteristic, complemented
102#16837301C2211yescharacteristic, complemented
103#16837299C2211yescharacteristic, complemented
104#16837294C2211yescharacteristic
105#16837294C2211yescharacteristic
106#16837294C2211yescharacteristic
107#16837294C2211yescharacteristic, complemented
108#16837294C2211yescharacteristic, complemented
109#16837294C2211yescharacteristic, complemented
110#16837293C2211yescharacteristic
111#16837292C2211yescharacteristic
112#16837292C2211yescharacteristic
113#16837292C2211yescharacteristic
114#16837292C2211yescharacteristic, complemented
115#16837292C2211yescharacteristic, complemented
116#16837291C2211yescharacteristic
117#16837290C2211yescharacteristic, complemented
118#16837289C2211yescharacteristic, complemented
119#16837289C2211yescharacteristic, complemented
120#16837288C2211yescharacteristic, complemented
121#16837288C2211yescharacteristic, complemented
122#16837288C2211yescharacteristic, complemented
123#16837287C2211yescharacteristic, complemented
124#16837285C2211yescharacteristic, complemented
125#16837283C2211yescharacteristic, complemented
126#16837283C2211yescharacteristic, complemented
127#16837281C2211yescharacteristic
128#16837281C2211yescharacteristic
129#16837281C2211yescharacteristic
130#16837281C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837279C2211yescharacteristic
134#16837279C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837277C2211yescharacteristic
138#16837277C2211yescharacteristic
139#16837277C2211yescharacteristic
140#16837277C2211yescharacteristic, complemented
141#16837276C2211yescharacteristic
142#16837276C2211yescharacteristic
143#16837275C2211yescharacteristic
144#16837273C2211yescharacteristic
145#16837273C2211yescharacteristic
146#16837262C2211yescharacteristic
147#16837260C2211yescharacteristic
148#16837257C2211yescharacteristic
149#16837257C2211yescharacteristic
150C4⋊C4×Dic59C2211yescharacteristic, complemented
151C4⋊C4×Dic59C2211yescharacteristic, complemented
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4⋊C4×Dic59C2211yescharacteristic, complemented
154C4⋊C4×Dic59C2211yescharacteristic, complemented
155C4⋊C4×Dic59C2211yescharacteristic, complemented
156C4×C4⋊Dic59C2211yescharacteristic, complemented
157#16837253C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic
159C22⋊C4×Dic59C2211yescharacteristic
160C22⋊C4×Dic59C2211yescharacteristic
161C22⋊C4×Dic59C2211yescharacteristic, complemented
162C22⋊C4×Dic59C2211yescharacteristic, complemented
163C22⋊C4×Dic59C2211yescharacteristic, complemented
164C4×C22⋊Dic59C2211yescharacteristic
165C4×C22⋊Dic59C2211yescharacteristic, complemented
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#16837247C2211yescharacteristic, complemented
173C42×Dic59C2211yescharacteristic, complemented
174C2×C22⋊Q8×C59C2211yescharacteristic
175C2×C22⋊Q8×C59C2211yescharacteristic, complemented
176C2×C4×D4×C59C2211yescharacteristic
177C22×C4⋊C4×C59C2211yescharacteristic
178C59×#399C2211yescharacteristic, complemented
179C59×#398C2211yescharacteristic, complemented
180C59×#396C2211yescharacteristic, complemented
181C59×#395C2211yescharacteristic, complemented
182C59×#389C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#385C2211yescharacteristic
187C59×#385C2211yescharacteristic
188C59×#385C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C22×C4×D59—24no—
202C22×C4×D59—24no—
203C22×C4×D59—24no—
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209#14273722—24no—
210#14273722—24no—
211#14273718—24no—
212#14273716—24no—
213#14273711—24no—
214#14273711—24no—
215#14273701—24no—
216#14273699—24no—
217#14273697—24no—
218#14273695—24no—
219Q8×Dic59—24no—
220D4×Dic59—24no—
221D4×Dic59—24no—
222#14273689—24no—
223#14273689—24no—
224(C22⋊D59)⋊C4—24no—
225(C22⋊D59)⋊C4—24no—
226(C22⋊D59)⋊C4—24no—
227(C22⋊D59)⋊C4—24no—
228#14273685—24no—
229#14273685—24no—
230#14273685—24no—
231#14273685—24no—
232#14273685—24no—
233#14273685—24no—
234#14273685—24no—
235#14273685—24no—
236#14273685D418yescomplemented
237C2×C4⋊Dic59—24no—
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4—24no—
265C2×(C2×D59)⋊C4—24no—
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59—24no—
297C2×C4×Dic59—24no—
298C2×C4×Dic59—24no—
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
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
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
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
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C22×Q8×C59C2311yescharacteristic
347C22×D4×C59C2311yescharacteristic
348C23×C4×C59C2311yescharacteristic
349C23×C4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C22⋊Q8×C59—24no—
353C22⋊Q8×C59—24no—
354C4×D4×C59—24no—
355C2×C4⋊C4×C59—24no—
356C2×C4⋊C4×C59C2311yescharacteristic
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C42×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—22no—
391C23×D59—22no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C2×Q8×C59—22no—
398C2×Q8×C59—22no—
399C2×Q8×C59—41no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59#4114yes—
403C22×C4×C59—22no—
404C22×C4×C59—22no—
405C22×C4×C59—22no—
406C22×C4×C59—22no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—22no—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C22×Dic59—22no—
441C22×Dic59—22no—
442C22×Dic59—22no—
443C22×Dic59—22no—
444C22×Dic59—22no—
445C22×Dic59—22no—
446C22×Dic59—22no—
447C22×Dic59—22no—
448C22×Dic59—22no—
449C22×Dic59—22no—
450C22×Dic59—22no—
451C22×Dic59—41no—
452C22×Dic59—41no—
453C22×Dic59—41no—
454C22×Dic59#4114yes—
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C2×D236—22no—
469C2×D236—22no—
470C2×D236—22no—
471C2×D236—22no—
472C2×D236—41no—
473C2×D236—41no—
474C2×C4×D59—232no—
475C2×C4×D59—22no—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59C2×D414yes—
489C2×C4×D59#4114yes—
490C4⋊C4×C59—22no—
491C4⋊C4×C59—22no—
492C4⋊C4×C59—22no—
493C4⋊C4×C59—22no—
494C4⋊C4×C59—22no—
495C4⋊C4×C59—22no—
496C4⋊C4×C59—22no—
497C4⋊C4×C59—22no—
498C4⋊C4×C59—22no—
499C4⋊C4×C59—22no—
500C4⋊C4×C59—41no—
501C4⋊C4×C59C2×D414yes—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59#4114yes—
510C42×C59—22no—
511C22⋊Dic59—22no—
512C22⋊Dic59—22no—
513C22⋊Dic59—22no—
514C22⋊Dic59—22no—
515C22⋊Dic59—22no—
516C22⋊Dic59—22no—
517(C2×D59)⋊C4—22no—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—22no—
520(C2×D59)⋊C4—22no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
525(C2×D59)⋊C4—22no—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—22no—
532(C2×D59)⋊C4—22no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4C2×D414yes—
546(C2×D59)⋊C4C2×D414yes—
547C4⋊Dic59—22no—
548C4⋊Dic59—22no—
549C4⋊Dic59—22no—
550C4⋊Dic59—22no—
551C4⋊Dic59—22no—
552C4⋊Dic59—22no—
553C4⋊Dic59—22no—
554C4⋊Dic59—22no—
555C4⋊Dic59—22no—
556C4⋊Dic59—41no—
557C4⋊Dic59—41no—
558C4⋊Dic59—41no—
559C4⋊Dic59—41no—
560C4⋊Dic59C2×D414yes—
561Dic59⋊C4—22no—
562Dic59⋊C4—22no—
563Dic59⋊C4—22no—
564Dic59⋊C4—22no—
565Dic59⋊C4—22no—
566Dic59⋊C4—41no—
567C4×Dic59—22no—
568C4×Dic59—22no—
569C4×Dic59—22no—
570C4×Dic59—22no—
571C4×Dic59—22no—
572C4×Dic59—22no—
573C4×Dic59—22no—
574C4×Dic59—22no—
575C4×Dic59—22no—
576C4×Dic59—22no—
577C4×Dic59—22no—
578C4×Dic59—22no—
579C4×Dic59—22no—
580C4×Dic59—22no—
581C4×Dic59—22no—
582C4×Dic59—41no—
583C4×Dic59—41no—
584C4×Dic59C2×D414yes—
585C4×Dic59C2×D414yes—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59C2×#4112yes—
597C23×C59C2×#4112yes—
598C23×C59C2×#4112yes—
599C23×C59C2×#4112yes—
600C23×C59C2511yescharacteristic
601C22×D59—28no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—44no—
622C22×D59—44no—
623C22×D59—44no—
624C22×D59—44no—
625C22×D59—44no—
626C22×D59—44no—
627C22×D59C22×D412yes—
628C22×D59C2×#4112yes—
629Q8×C59—44no—
630D4×C59—28no—
631C2×C4×C59—28no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—44no—
665C2×C4×C59—44no—
666C2×C4×C59—44no—
667C2×C4×C59C22×D412yes—
668C2×C4×C59C22×D412yes—
669C2×C4×C59C22×D412yes—
670C2×C4×C59C2×#4112yes—
671C2×C4×C59C2×#4112yes—
672C2×C4×C59C2×#4112yes—
673C2×C4×C59C2×#4112yes—
674C22⋊D59—44no—
675C22⋊D59—44no—
676C22⋊D59—44no—
677C22⋊D59—44no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—28no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—44no—
713C2×Dic59—44no—
714C2×Dic59—44no—
715C2×Dic59—44no—
716C2×Dic59C22×D412yes—
717C2×Dic59C22×D412yes—
718C2×Dic59C22×D412yes—
719C2×Dic59C2×#4112yes—
720C2×Dic59C2×#4112yes—
721C2×Dic59C2×#4112yes—
722D236—44no—
723D236—44no—
724C4×D59—28no—
725C4×D59—28no—
726C4×D59—28no—
727C4×D59—28no—
728C4×D59—44no—
729#34740—591nomaximal, Sylow
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—22no—
733C22×C59—22no—
734C22×C59—22no—
735C22×C59—22no—
736C22×C59—22no—
737C22×C59—22no—
738C22×C59—22no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59#52914yescomplemented
744C22×C59C23×D411yescharacteristic
745C22×C59C22×#4111yescharacteristic
746C22×C59C22×#4111yescharacteristic
747C22×C59C22×#4111yescharacteristic
748C22×C59C22×#4111yescharacteristic
749C22×C59#58511yescharacteristic
750C22×C59#58511yescharacteristic
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—22no—
757C2×D59—416no—
758C2×D59—41no—
759C2×D59—41no—
760C2×D59—41no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—41no—
764C2×D59—41no—
765C2×D59—41no—
766C2×D59—41no—
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C2×D59—41no—
773C4×C59—22no—
774C4×C59—22no—
775C4×C59—22no—
776C4×C59—22no—
777C4×C59—22no—
778C4×C59—22no—
779C4×C59—22no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786Dic59—22no—
787Dic59—22no—
788Dic59—22no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59#52514yes—
799C2×#529—591no—
800C22×#117—591no—
801#2481—591no—
802#2480—591no—
803#2479—591no—
804#2478—591no—
805#2477—591no—
806#2476—591no—
807#2475—591no—
808#2474—591no—
809#2473—591no—
810#2472—591no—
811#2471—591no—
812#2470—591no—
813#2449D5911yescharacteristic, complemented
814#2443—591no—
815#2424—591no—
816#2418—591no—
817#2396—591no—
818#2395—591no—
819#2395—591no—
820#2392—591no—
821C4×C22⋊Q8—591no—
822C4×#121—591no—
823C4×#120—591no—
824C4×#120—591no—
825#2298—591no—
826#2293—591no—
827#2290—591no—
828#2290—591no—
829C42×D4—591no—
830C2×C59—24no—
831C2×C59—42no—
832C2×C59C2×#52511yescharacteristic
833C2×C59C2×#52911yescharacteristic
834C2×C59#345511yescharacteristic
835C2×C59D4×#4111yescharacteristic
836C2×C59D4×#4111yescharacteristic
837C2×C59#347511yescharacteristic
838C2×C59#347511yescharacteristic
839D59—42no—
840D59—42no—
841D59—81no—
842C24×C4—591no—
843#529—1188no—
844C2×#126—591no—
845C2×#126—591no—
846C2×#125—591no—
847C2×#124—591no—
848C2×#123—591no—
849C2×#123—591no—
850C2×C22⋊Q8C2×D5911yescharacteristic
851C2×C22⋊Q8C2×D5911yescharacteristic, complemented
852C2×#121—591no—
853C2×#121—591no—
854C2×#120—591no—
855C2×#120—591no—
856C2×C4×Q8—591no—
857C2×C4×D4—591no—
858C2×C4×D4—591no—
859C2×C4×D4—591no—
860C2×C4×D4—591no—
861C2×C4×D4—591no—
862C2×C4×D4—591no—
863C2×C4×D4—591no—
864C2×C4×D4—591no—
865C2×C4×D4C2×D5911yescharacteristic
866C2×#117—591no—
867C2×#117—591no—
868C2×#117—591no—
869C2×#117—591no—
870C2×#117—591no—
871C2×#117—591no—
872C2×#117—591no—
873C2×#117—591no—
874C2×#117—591no—
875C2×#117—1188no—
876C22×C4⋊C4—591no—
877C22×C4⋊C4C2×D5911yescharacteristic
878C22×C22⋊C4—591no—
879C22×C22⋊C4—591no—
880C22×C42—591no—
881C22×C42—591no—
882C22×C42—591no—
883#400—591no—
884#400—591no—
885#400—591no—
886#399—591no—
887#399—591no—
888#399C2×D5911yescharacteristic, complemented
889#398—591no—
890#398—591no—
891#398—591no—
892#398—591no—
893#398C2×D5911yescharacteristic, complemented
894#397—591no—
895#397—591no—
896#397—591no—
897#397—591no—
898#397—591no—
899#397—591no—
900#397—591no—
901#396—591no—
902#396—591no—
903#396—591no—
904#396C2×D5911yescharacteristic, complemented
905#395C2×D5911yescharacteristic, complemented
906#394—591no—
907#394—591no—
908#394—591no—
909#394—591no—
910#394—591no—
911#394—591no—
912#394—591no—
913#393—591no—
914#392—591no—
915#391—591no—
916#390—591no—
917#390—591no—
918#390—591no—
919#389—591no—
920#389—591no—
921#389—591no—
922#389C2×D5911yescharacteristic, complemented
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#388—591no—
935#388—591no—
936#388—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#387—591no—
942#387—591no—
943#387—591no—
944#387—591no—
945#387—591no—
946#387C2×D5911yescharacteristic, complemented
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386C2×D5911yescharacteristic
958#386C2×D5911yescharacteristic
959#385—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
967#385—591no—
968#385C2×D5911yescharacteristic
969#385C2×D5911yescharacteristic
970#385C2×D5911yescharacteristic, complemented
971#380—591no—
972#380—591no—
973#379—591no—
974#379—591no—
975C4×C4⋊C4—591no—
976C4×C4⋊C4—591no—
977C4×C4⋊C4—591no—
978C4×C4⋊C4—591no—
979C4×C4⋊C4—591no—
980C4×C4⋊C4—591no—
981C4×C4⋊C4—591no—
982C4×C4⋊C4—591no—
983C4×C22⋊C4—591no—
984C4×C22⋊C4—591no—
985C4×C22⋊C4—591no—
986C4×C22⋊C4—591no—
987C4×C22⋊C4—591no—
988C4×C22⋊C4—591no—
989C4×C22⋊C4—591no—
990C4×C22⋊C4—591no—
991C4×C22⋊C4—591no—
992C4×C22⋊C4—591no—
993C4×C22⋊C4—591no—
994C4×C22⋊C4—591no—
995C4×C22⋊C4—591no—
996C4×C22⋊C4—591no—
997#376—591no—
998C43—591no—
999C59#3474011yescharacteristic, complemented, Sylow
1000C25—591no—
1001C22×Q8C22×D5911yescharacteristic
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4—591no—
1005C22×D4—591no—
1006C22×D4—591no—
1007C22×D4—591no—
1008C22×D4C22×D5911yescharacteristic
1009C23×C4—591no—
1010C23×C4—591no—
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—591no—
1019C23×C4—1184no—
1020C23×C4—1184no—
1021C23×C4—1184no—
1022C23×C4C22×D5911yescharacteristic
1023C23×C4C22×D5911yescharacteristic
1024C23×C4C22×D5911yescharacteristic
1025C23×C4C22×D5911yescharacteristic
1026#126—1184no—
1027#126—1184no—
1028#125—1184no—
1029#124—1184no—
1030#123—1184no—
1031#123—1184no—
1032C22⋊Q8—24no—
1033C22⋊Q8—24no—
1034#121—1184no—
1035#121—1184no—
1036#120—1184no—
1037#120—1184no—
1038C4×Q8—1184no—
1039C4×D4—24no—
1040C4×D4—1184no—
1041C4×D4—1184no—
1042C4×D4—1184no—
1043C4×D4—1184no—
1044C4×D4—1184no—
1045C4×D4—1184no—
1046C4×D4—1184no—
1047C4×D4—1184no—
1048#117—598no—
1049#117—1184no—
1050#117—1184no—
1051#117—1184no—
1052#117—1184no—
1053#117—1184no—
1054#117—1184no—
1055#117—1184no—
1056#117—1184no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—591no—
1071C2×C4⋊C4—591no—
1072C2×C4⋊C4—591no—
1073C2×C4⋊C4—591no—
1074C2×C4⋊C4—591no—
1075C2×C4⋊C4—591no—
1076C2×C4⋊C4—591no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—1184no—
1079C2×C4⋊C4C22×D5911yescharacteristic
1080C2×C4⋊C4C22×D5911yescharacteristic
1081C2×C4⋊C4C22×D5911yescharacteristic
1082C2×C4⋊C4C22×D5911yescharacteristic
1083C2×C4⋊C4C22×D5911yescharacteristic
1084C2×C4⋊C4C22×D5911yescharacteristic
1085C2×C4⋊C4C22×D5911yescharacteristic
1086C2×C4⋊C4C22×D5911yescharacteristic
1087C2×C4⋊C4C22×D5911yescharacteristic
1088C2×C4⋊C4C22×D5911yescharacteristic
1089C2×C4⋊C4C22×D5911yescharacteristic
1090C2×C4⋊C4C22×D5911yescharacteristic
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—1184no—
1128C2×C22⋊C4—1184no—
1129C2×C22⋊C4C22×D5911yescharacteristic
1130C2×C22⋊C4C22×D5911yescharacteristic
1131C2×C22⋊C4C22×D5911yescharacteristic
1132C2×C22⋊C4C22×D5911yescharacteristic
1133C2×C22⋊C4C22×D5911yescharacteristic
1134C2×C22⋊C4C22×D5911yescharacteristic
1135C2×C22⋊C4C22×D5911yescharacteristic
1136C2×C22⋊C4C22×D5911yescharacteristic
1137C2×C42—591no—
1138C2×C42—591no—
1139C2×C42—591no—
1140C2×C42—591no—
1141C2×C42—591no—
1142C2×C42—591no—
1143C2×C42—591no—
1144C2×C42—591no—
1145C2×C42—591no—
1146C2×C42—591no—
1147C2×C42—591no—
1148C2×C42—591no—
1149C2×C42—591no—
1150C2×C42—591no—
1151C2×C42—591no—
1152C2×C42—591no—
1153C2×C42—591no—
1154C2×C42—591no—
1155C2×C42—591no—
1156C2×C42—1184no—
1157C2×C42—1184no—
1158C2×C42—1184no—
1159C2×C42C22×D5911yescharacteristic
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95C22×D5911yescharacteristic
1189#95C22×D5911yescharacteristic
1190#95C22×D5911yescharacteristic
1191#95C22×D5911yescharacteristic
1192#95C22×D5911yescharacteristic
1193#95C22×D5911yescharacteristic
1194#95C22×D5911yescharacteristic
1195#95C22×D5911yescharacteristic
1196C24—591no—
1197C24—591no—
1198C24—591no—
1199C24—1182no—
1200C24—1182no—
1201C24—1182no—
1202C24—1182no—
1203C24—1182no—
1204C24—2361no—
1205C24—2361no—
1206C24C23×D5911yescharacteristic
1207C24C23×D5911yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—41no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—1182no—
1214C2×D4—1182no—
1215C2×D4—1182no—
1216C2×D4—1182no—
1217C2×D4—1182no—
1218C2×D4—1182no—
1219C2×D4—1182no—
1220C2×D4—1182no—
1221C2×D4—1182no—
1222C2×D4—1182no—
1223C2×D4—1182no—
1224C2×D4—1182no—
1225C2×D4—1182no—
1226C2×D4—2361no—
1227C2×D4—2361no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C2×D4#1174568914yes—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—591no—
1245C22×C4—594no—
1246C22×C4—591no—
1247C22×C4—591no—
1248C22×C4—591no—
1249C22×C4—594no—
1250C22×C4—594no—
1251C22×C4—591no—
1252C22×C4—591no—
1253C22×C4—591no—
1254C22×C4—591no—
1255C22×C4—591no—
1256C22×C4—591no—
1257C22×C4—591no—
1258C22×C4—591no—
1259C22×C4—591no—
1260C22×C4—1182no—
1261C22×C4—1182no—
1262C22×C4—1182no—
1263C22×C4—1182no—
1264C22×C4—1182no—
1265C22×C4—1182no—
1266C22×C4—1182no—
1267C22×C4—1182no—
1268C22×C4—1182no—
1269C22×C4—1182no—
1270C22×C4—1182no—
1271C22×C4—11832no—
1272C22×C4—1182no—
1273C22×C4—1182no—
1274C22×C4—1182no—
1275C22×C4—1182no—
1276C22×C4—1182no—
1277C22×C4—1182no—
1278C22×C4—1182no—
1279C22×C4—1182no—
1280C22×C4—1182no—
1281C22×C4—1182no—
1282C22×C4—1182no—
1283C22×C4—1182no—
1284C22×C4—1182no—
1285C22×C4—2361no—
1286C22×C4—2361no—
1287C22×C4—2361no—
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C22×C4C23×D5911yescharacteristic
1291C22×C4C23×D5911yescharacteristic
1292C22×C4C23×D5911yescharacteristic
1293C22×C4C23×D5911yescharacteristic
1294C22×C4C23×D5911yescharacteristic
1295C22×C4C23×D5911yescharacteristic
1296C22×C4C23×D5911yescharacteristic
1297C22×C4C23×D5911yescharacteristic
1298C22×C4C23×D5911yescharacteristic
1299C22×C4C23×D5911yescharacteristic
1300C22×C4C23×D5911yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—41no—
1312C4⋊C4—594no—
1313C4⋊C4—1182no—
1314C4⋊C4—1182no—
1315C4⋊C4—1182no—
1316C4⋊C4—1182no—
1317C4⋊C4—1182no—
1318C4⋊C4—1182no—
1319C4⋊C4—1182no—
1320C4⋊C4—1182no—
1321C4⋊C4—1182no—
1322C4⋊C4—1182no—
1323C4⋊C4—1182no—
1324C4⋊C4—1182no—
1325C4⋊C4—1182no—
1326C4⋊C4—1182no—
1327C4⋊C4—2361no—
1328C4⋊C4—2361no—
1329C4⋊C4—2361no—
1330C4⋊C4—2361no—
1331C4⋊C4—2361no—
1332C4⋊C4D4×D5914yes—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—41no—
1340C22⋊C4—594no—
1341C22⋊C4—594no—
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—1182no—
1365C22⋊C4—1182no—
1366C22⋊C4—1182no—
1367C22⋊C4—1182no—
1368C22⋊C4—1182no—
1369C22⋊C4—2361no—
1370C22⋊C4—2361no—
1371C22⋊C4—2361no—
1372C22⋊C4—2361no—
1373C22⋊C4—2361no—
1374C22⋊C4—2361no—
1375C22⋊C4—2361no—
1376C22⋊C4#1174568714yes—
1377C42—22no—
1378C42—594no—
1379C42—594no—
1380C42—1182no—
1381C42—1182no—
1382C42—1182no—
1383C42—1182no—
1384C42—1182no—
1385C42—1182no—
1386C42—1182no—
1387C42—1182no—
1388C42—1182no—
1389C42—1182no—
1390C42—1182no—
1391C42—1182no—
1392C42—1182no—
1393C42—1182no—
1394C42—1182no—
1395C42—2361no—
1396C42—2361no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—592no—
1408C23—592no—
1409C23—1188no—
1410C23—1181no—
1411C23—1181no—
1412C23—1181no—
1413C23—1181no—
1414C23—1181no—
1415C23—1181no—
1416C23—1181no—
1417C23—1181no—
1418C23—1181no—
1419C23—1181no—
1420C23—1181no—
1421C23—1181no—
1422C23—1181no—
1423C23—1181no—
1424C23—1181no—
1425C23—1181no—
1426C23—1181no—
1427C23—1181no—
1428C23—1181no—
1429C23—2364no—
1430C23—2364no—
1431C23—2364no—
1432C23—2364no—
1433C23—2364no—
1434C23—2364no—
1435C23#41×D5912yes—
1436C23C2×#1174568712yes—
1437C23C2×#1174568912yes—
1438C23C2×#1174568912yes—
1439C23C24×D5911yescharacteristic
1440Q8—44no—
1441D4—28no—
1442D4—2364no—
1443D4—2364no—
1444D4—2364no—
1445D4—2364no—
1446D4—2364no—
1447D4—2364no—
1448C2×C4—28no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—592no—
1485C2×C4—592no—
1486C2×C4—592no—
1487C2×C4—592no—
1488C2×C4—592no—
1489C2×C4—592no—
1490C2×C4—1188no—
1491C2×C4—1188no—
1492C2×C4—1188no—
1493C2×C4—1188no—
1494C2×C4—1188no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—2364no—
1529C2×C4—2364no—
1530C2×C4—2364no—
1531C2×C4—2364no—
1532C2×C4—2364no—
1533C2×C4C2×D4×D5912yes—
1534C2×C4C2×D4×D5912yes—
1535C2×C4C2×D4×D5912yes—
1536C2×C4#41×D5912yes—
1537C2×C4C2×#1174568712yes—
1538C2×C4C2×#1174568712yes—
1539C2×C4C2×#1174568912yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—1182no—
1554C22—1182no—
1555C22—1182no—
1556C22—1182no—
1557C22—1182no—
1558C22—1182no—
1559C22—23616no—
1560C22—2361no—
1561C22—2361no—
1562C22—2361no—
1563C22—2361no—
1564C22—2361no—
1565C22—2361no—
1566C22—2361no—
1567C22—2361no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22—2361no—
1575C22#1683793814yescomplemented
1576C22C22×D4×D5911yescharacteristic
1577C22C2×#41×D5911yescharacteristic
1578C22C2×#41×D5911yescharacteristic
1579C22C22×#1174568711yescharacteristic
1580C22C22×#1174568911yescharacteristic
1581C22#1683823711yescharacteristic
1582C22#1683823911yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—594no—
1597C4—1182no—
1598C4—1182no—
1599C4—1182no—
1600C4—2361no—
1601C4—2361no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C4—2361no—
1607C4—2361no—
1608C4—2361no—
1609C2—24no—
1610C2—42no—
1611C2—4721no—
1612C2—2362no—
1613C2—2362no—
1614C2#525×D5911yescharacteristic
1615C2C2×#1683793811yescharacteristic
1616C2#2143748211yescharacteristic
1617C2D4×#1174568711yescharacteristic
1618C2D4×#1174568911yescharacteristic
1619C2#2143765911yescharacteristic
1620C2#2143766211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2449C2
prime radical#21427626C2
hypercenter#2449D59
hypocenterC59#34740
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#16837938C2semidirect
2. C22×#14273685C2semidirect
3. #21428351C2semidirect
4. #21428344C2semidirect
5. #21428325C2semidirect
6. #21428318C2semidirect
7. #21428293C2semidirect
8. #21428286C2semidirect
9. #21428262C2semidirect
10. #21428255C2semidirect
11. #21428236C2semidirect
12. #21428229C2semidirect
13. #21428200C2semidirect
14. #21428193C2semidirect
15. #21427829C2semidirect
17. #21427556C2semidirect
18. #21427367C2semidirect
19. #21427361C2semidirect
20. #21427360C2semidirect
21. #21427341C2semidirect
22. C22⋊Q8×Dic59C2semidirect
23. #21426606C2semidirect
24. #21426601C2semidirect
25. #21426597C2semidirect
26. #21426588C2semidirect
27. #21426554C2semidirect
28. #21426532C2semidirect
29. #21426532C2semidirect
30. C4×D4×Dic59C2semidirect
31. C59×#2449C2semidirect
35. C2×#14273722C22semidirect
36. C2×#14273718C22semidirect
39. C2×#14273711C22semidirect
44. C2×Q8×Dic59C22semidirect
52. C2×(C22⋊D59)⋊C4C22semidirect
62. C2×#14273685C22semidirect
68. C22×C4×Dic59C22semidirect
69. #16837341C22semidirect
70. #16837341C22semidirect
71. #16837340C22semidirect
73. #16837339C22semidirect
74. #16837335C22semidirect
75. #16837334C22semidirect
76. #16837334C22semidirect
77. #16837334C22semidirect
83. #16837328C22semidirect
84. #16837327C22semidirect
87. #16837324C22semidirect
94. #16837318C22semidirect
97. #16837309C22semidirect
100. #16837302C22semidirect
101. #16837301C22semidirect
102. #16837301C22semidirect
103. #16837299C22semidirect
107. #16837294C22semidirect
108. #16837294C22semidirect
109. #16837294C22semidirect
114. #16837292C22semidirect
115. #16837292C22semidirect
117. #16837290C22semidirect
118. #16837289C22semidirect
119. #16837289C22semidirect
120. #16837288C22semidirect
121. #16837288C22semidirect
122. #16837288C22semidirect
123. #16837287C22semidirect
124. #16837285C22semidirect
125. #16837283C22semidirect
126. #16837283C22semidirect
140. #16837277C22semidirect
150. C4⋊C4×Dic59C22semidirect
151. C4⋊C4×Dic59C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4⋊C4×Dic59C22semidirect
154. C4⋊C4×Dic59C22semidirect
155. C4⋊C4×Dic59C22semidirect
156. C4×C4⋊Dic59C22semidirect
157. #16837253C22semidirect
161. C22⋊C4×Dic59C22semidirect
162. C22⋊C4×Dic59C22semidirect
163. C22⋊C4×Dic59C22semidirect
165. C4×C22⋊Dic59C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. #16837247C22semidirect
173. C42×Dic59C22semidirect
175. C2×C22⋊Q8×C59C22semidirect
178. C59×#399C22semidirect
179. C59×#398C22semidirect
180. C59×#396C22semidirect
181. C59×#395C22semidirect
182. C59×#389C22semidirect
183. C59×#387C22semidirect
188. C59×#385C22semidirect
236. #14273685D4semidirect
743. C22×C59#529semidirect
813. #2449D59semidirect
851. C2×C22⋊Q8C2×D59semidirect
888. #399C2×D59semidirect
893. #398C2×D59semidirect
904. #396C2×D59semidirect
905. #395C2×D59semidirect
922. #389C2×D59semidirect
946. #387C2×D59semidirect
970. #385C2×D59semidirect
999. C59#34740semidirect
1575. C22#16837938semidirect

Maximal subgroups

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

subgroupindex
C2×#168379382
C22×#142736852
#214283512
#214283442
#214283252
#214283182
#214282932
#214282862
#214282622
#214282552
#214282362
#214282292
#214282002
#214281932
#214278292
#214276262
#214275562
#214273672
#214273612
#214273602
#214273412
C22⋊Q8×Dic592
#214266062
#214266012
#214265972
#214265882
#214265542
#214265322
C4×D4×Dic592
C59×#24492
#3474059