Finite Group Databasebeta

← #28752046

Subgroups — #28752046

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×#16837966C211yesmaximal, characteristic
2#21427271C211yesmaximal, characteristic, complemented
3#21427268C211yesmaximal, characteristic, complemented
4#21427255C211yesmaximal, characteristic, complemented
5#21427250C211yesmaximal, characteristic, complemented
6#21427207C211yesmaximal, characteristic, complemented
7#21427159C211yesmaximal, characteristic, complemented
8#21427146C211yesmaximal, characteristic, complemented
9#21427143C211yesmaximal, characteristic, complemented
10#21427076C211yesmaximal, characteristic, complemented
11#21427076C211yesmaximal, characteristic, complemented
12#21427073C211yesmaximal, characteristic, complemented
13#21427073C211yesmaximal, characteristic, complemented
14#21426958C211yesmaximal, characteristic, complemented
15#21426952C211yesmaximal, characteristic, complemented
16#21426926C211yesmaximal, characteristic, complemented
17#21426908C211yesmaximal, characteristic, complemented
18#21426908C211yesmaximal, characteristic, complemented
19#21426861C211yesmaximal, characteristic, complemented
20#21426858C211yesmaximal, characteristic, complemented
21#21426817C211yesmaximal, characteristic, complemented
22#21426817C211yesmaximal, characteristic, complemented
23#21426799C211yesmaximal, characteristic, complemented
24#21426796C211yesmaximal, characteristic, complemented
25#21426759C211yesmaximal, characteristic, complemented
26#21426750C211yesmaximal, characteristic, complemented
27#21426673C211yesmaximal, characteristic, complemented
28#21426601C211yesmaximal, characteristic, complemented
29C4×#14273695C211yesmaximal, characteristic, complemented
30C2×#16837280C211yesmaximal, characteristic, complemented
31C59×#2339C211yesmaximal, characteristic, complemented
32C23×D236C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16837966C4116yescomplemented
35C2×#14273723C2211yescharacteristic
36C2×#14273723C2211yescharacteristic
37C2×#14273716C2211yescharacteristic
38C2×#14273716C2211yescharacteristic
39C2×#14273701C2211yescharacteristic
40C2×#14273701C2211yescharacteristic
41C2×#14273701C2211yescharacteristic
42C2×#14273701C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×#14273695C2211yescharacteristic
45C2×#14273695C2211yescharacteristic
46C2×#14273695C2211yescharacteristic
47C2×D4×Dic59C2211yescharacteristic
48C2×D4×Dic59C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic, complemented
50C2×C4×C22⋊D59C2211yescharacteristic, complemented
51C2×C4×C22⋊D59C2211yescharacteristic, complemented
52C2×C4×C22⋊D59C2211yescharacteristic, complemented
53C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
54C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
55C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
56C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
57C2×#14273686C2211yescharacteristic
58C22×(C2×D59)⋊C4C2211yescharacteristic
59C22×(C2×D59)⋊C4C2211yescharacteristic
60C22×(C2×D59)⋊C4C2211yescharacteristic
61C2×C22⋊C4×D59C2211yescharacteristic
62C2×C22⋊C4×D59C2211yescharacteristic
63#16837309C2211yescharacteristic, complemented
64#16837309C2211yescharacteristic, complemented
65#16837302C2211yescharacteristic, complemented
66#16837302C2211yescharacteristic, complemented
67#16837302C2211yescharacteristic, complemented
68#16837302C2211yescharacteristic, complemented
69#16837302C2211yescharacteristic, complemented
70#16837302C2211yescharacteristic, complemented
71#16837302C2211yescharacteristic, complemented
72#16837302C2211yescharacteristic, complemented
73#16837294C2211yescharacteristic, complemented
74#16837294C2211yescharacteristic, complemented
75#16837294C2211yescharacteristic, complemented
76#16837294C2211yescharacteristic, complemented
77#16837293C2211yescharacteristic, complemented
78#16837293C2211yescharacteristic, complemented
79#16837293C2211yescharacteristic, complemented
80#16837293C2211yescharacteristic, complemented
81#16837292C2211yescharacteristic, complemented
82#16837292C2211yescharacteristic, complemented
83#16837292C2211yescharacteristic, complemented
84#16837292C2211yescharacteristic, complemented
85#16837291C2211yescharacteristic, complemented
86#16837291C2211yescharacteristic, complemented
87#16837291C2211yescharacteristic, complemented
88#16837291C2211yescharacteristic, complemented
89#16837287C2211yescharacteristic, complemented
90#16837287C2211yescharacteristic, complemented
91#16837287C2211yescharacteristic, complemented
92#16837287C2211yescharacteristic, complemented
93#16837285C2211yescharacteristic, complemented
94#16837285C2211yescharacteristic, complemented
95#16837285C2211yescharacteristic, complemented
96#16837285C2211yescharacteristic, complemented
97#16837282C2211yescharacteristic
98#16837282C2211yescharacteristic
99#16837282C2211yescharacteristic, complemented
100#16837282C2211yescharacteristic, complemented
101#16837281C2211yescharacteristic, complemented
102#16837281C2211yescharacteristic, complemented
103#16837281C2211yescharacteristic, complemented
104#16837281C2211yescharacteristic, complemented
105#16837280C2211yescharacteristic
106#16837280C2211yescharacteristic
107#16837280C2211yescharacteristic
108#16837280C2211yescharacteristic
109#16837280C2211yescharacteristic
110#16837280C2211yescharacteristic
111#16837280C2211yescharacteristic
112#16837280C2211yescharacteristic
113#16837280C2211yescharacteristic
114#16837280C2211yescharacteristic
115#16837280C2211yescharacteristic
116#16837280C2211yescharacteristic
117#16837280C2211yescharacteristic
118#16837280C2211yescharacteristic
119#16837280C2211yescharacteristic
120#16837280C2211yescharacteristic
121#16837279C2211yescharacteristic, complemented
122#16837279C2211yescharacteristic, complemented
123#16837279C2211yescharacteristic, complemented
124#16837279C2211yescharacteristic, complemented
125#16837278C2211yescharacteristic, complemented
126#16837278C2211yescharacteristic, complemented
127#16837278C2211yescharacteristic, complemented
128#16837278C2211yescharacteristic, complemented
129#16837278C2211yescharacteristic, complemented
130#16837278C2211yescharacteristic, complemented
131#16837278C2211yescharacteristic, complemented
132#16837278C2211yescharacteristic, complemented
133#16837276C2211yescharacteristic, complemented
134#16837276C2211yescharacteristic, complemented
135#16837276C2211yescharacteristic, complemented
136#16837276C2211yescharacteristic, complemented
137#16837275C2211yescharacteristic
138#16837275C2211yescharacteristic
139#16837274C2211yescharacteristic
140#16837274C2211yescharacteristic
141#16837273C2211yescharacteristic, complemented
142#16837273C2211yescharacteristic, complemented
143#16837273C2211yescharacteristic, complemented
144#16837273C2211yescharacteristic, complemented
145#16837269C2211yescharacteristic, complemented
146#16837269C2211yescharacteristic, complemented
147#16837266C2211yescharacteristic, complemented
148#16837266C2211yescharacteristic, complemented
149#16837265C2211yescharacteristic
150#16837265C2211yescharacteristic, complemented
151#16837262C2211yescharacteristic, complemented
152#16837257C2211yescharacteristic
153#16837257C2211yescharacteristic
154#16837253C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic
157C22⋊C4×Dic59C2211yescharacteristic
158C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162C4×C22⋊Dic59C2211yescharacteristic
163C4×C22⋊Dic59C2211yescharacteristic
164C4×C22⋊Dic59C2211yescharacteristic, complemented
165#16837249C2211yescharacteristic, complemented
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837247C2211yescharacteristic, complemented
170#16837247C2211yescharacteristic, complemented
171C2×C59⋊#95C2211yescharacteristic
172C2×C59⋊#95C2211yescharacteristic, complemented
173C22×#41×C59C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic
175C2×C4×D4×C59C2211yescharacteristic
176C59×#391C2211yescharacteristic, complemented
177C59×#391C2211yescharacteristic, complemented
178C59×#386C2211yescharacteristic
179C59×#386C2211yescharacteristic
180C59×#386C2211yescharacteristic, complemented
181C59×#386C2211yescharacteristic, complemented
182C59×#381C2211yescharacteristic
183C59×#381C2211yescharacteristic, complemented
184C59×#380C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C2×#95×C59C2211yescharacteristic
187C2×#95×C59C2211yescharacteristic, complemented
188C24×D59C2311yescharacteristic
189C24×D59C2311yescharacteristic
190C22×D236—42no—
191C22×D236—42no—
192C22×D236C2×C418yescomplemented
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C22×C4×D59—42no—
210C22×C4×D59—42no—
211C22×C4×D59—42no—
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220#14273723C2×C418yescomplemented
221#14273723C2×C418yescomplemented
222#14273716C2×C418yescomplemented
223#14273716C2×C418yescomplemented
224#14273701C2×C418yescomplemented
225#14273701C2×C418yescomplemented
226#14273701C2×C418yescomplemented
227#14273701C2×C418yescomplemented
228#14273695C2×C418yescomplemented
229#14273695C2×C418yescomplemented
230#14273695C2×C418yescomplemented
231#14273695C2×C418yescomplemented
232D4×Dic59—42no—
233D4×Dic59—42no—
234C4×C22⋊D59—42no—
235C4×C22⋊D59—42no—
236C4×C22⋊D59—42no—
237C4×C22⋊D59—42no—
238(C22⋊D59)⋊C4—42no—
239(C22⋊D59)⋊C4—42no—
240(C22⋊D59)⋊C4—42no—
241(C22⋊D59)⋊C4—42no—
242#14273686C2×C418yescomplemented
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×(C2×D59)⋊C4—42no—
266C2×(C2×D59)⋊C4—42no—
267C2×(C2×D59)⋊C4—42no—
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×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C22⋊C4×D59—42no—
301C22⋊C4×D59—42no—
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
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
342C2×#41×C59—42no—
343C2×#41×C59—42no—
344C2×#41×C59C2×C418yescomplemented
345C22×Q8×C59C2311yescharacteristic
346C22×D4×C59C2311yescharacteristic
347C22×D4×C59C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C23×C4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353C23×C4×C59C2311yescharacteristic
354C23×C4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C4×D4×C59—42no—
357C4×D4×C59—42no—
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C4⋊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×C42×C59C2311yescharacteristic
369C2×C42×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×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
385C23×D59—22no—
386C23×D59—22no—
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—41no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59—41no—
395C23×D59—41no—
396C23×D59—41no—
397C23×D59C22×C414yes—
398C23×D59C22×C414yes—
399C23×D59C2411yescharacteristic
400C23×D59C2411yescharacteristic
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403#41×C59—416no—
404C2×Q8×C59—41no—
405C2×Q8×C59—41no—
406C2×Q8×C59C22×C414yescomplemented
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59C22×C414yes—
414C2×D4×C59C22×C414yes—
415C2×D4×C59C22×C414yescomplemented
416C22×C4×C59—22no—
417C22×C4×C59—22no—
418C22×C4×C59—22no—
419C22×C4×C59—22no—
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—41no—
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×C59—41no—
434C22×C4×C59C22×C414yes—
435C22×C4×C59C22×C414yescomplemented
436C22×C4×C59C22×C414yescomplemented
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59—41no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59—41no—
459C2×C22⋊D59—41no—
460C2×C22⋊D59—41no—
461C2×C22⋊D59—41no—
462C2×C22⋊D59—41no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59C22×C414yes—
466C2×C22⋊D59C22×C414yes—
467C2×C22⋊D59C22×C414yes—
468C2×C22⋊D59C22×C414yes—
469C2×C22⋊D59C22×C414yescomplemented
470C2×C22⋊D59C22×C414yescomplemented
471C2×C22⋊D59C22×C414yescomplemented
472C2×C22⋊D59C22×C414yescomplemented
473C22×Dic59—22no—
474C22×Dic59—22no—
475C22×Dic59—22no—
476C22×Dic59—22no—
477C22×Dic59—41no—
478C22×Dic59—41no—
479C22×Dic59—41no—
480C22×Dic59—41no—
481C22×Dic59—41no—
482C22×Dic59—41no—
483C22×Dic59—41no—
484C22×Dic59—41no—
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2411yescharacteristic
495C22×Dic59C2411yescharacteristic
496C22×Dic59C2411yescharacteristic
497C2×D236—416no—
498C2×D236—41no—
499C2×D236—41no—
500C2×D236—41no—
501C2×D236—41no—
502C2×D236—41no—
503C2×D236—41no—
504C2×D236—41no—
505C2×D236—41no—
506C2×D236C22×C414yes—
507C2×D236C22×C414yes—
508C2×D236C22×C414yes—
509C2×D236C22×C414yes—
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—41no—
521C2×C4×D59—41no—
522C2×C4×D59—416no—
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×D59—41no—
532C2×C4×D59—41no—
533C2×C4×D59—41no—
534C2×C4×D59—41no—
535C4⋊C4×C59—41no—
536C4⋊C4×C59—41no—
537C22⋊C4×C59—22no—
538C22⋊C4×C59—22no—
539C22⋊C4×C59—22no—
540C22⋊C4×C59—41no—
541C22⋊C4×C59—41no—
542C22⋊C4×C59—41no—
543C22⋊C4×C59—41no—
544C22⋊C4×C59—41no—
545C42×C59—41no—
546C42×C59—41no—
547C22⋊Dic59—22no—
548C22⋊Dic59—22no—
549C22⋊Dic59—22no—
550C22⋊Dic59—41no—
551C22⋊Dic59—41no—
552C22⋊Dic59—41no—
553C22⋊Dic59—41no—
554C22⋊Dic59—41no—
555C22⋊Dic59C22×C414yes—
556C22⋊Dic59C22×C414yes—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—22no—
559(C2×D59)⋊C4—22no—
560(C2×D59)⋊C4—22no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4—41no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4—41no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4—41no—
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)⋊C4C22×C414yes—
582(C2×D59)⋊C4C22×C414yes—
583(C2×D59)⋊C4C22×C414yes—
584(C2×D59)⋊C4C22×C414yes—
585(C2×D59)⋊C4C22×C414yescomplemented
586(C2×D59)⋊C4C22×C414yescomplemented
587(C2×D59)⋊C4C22×C414yescomplemented
588(C2×D59)⋊C4C22×C414yescomplemented
589C4⋊Dic59—41no—
590C4⋊Dic59—41no—
591C4⋊Dic59C22×C414yescomplemented
592C4⋊Dic59C22×C414yescomplemented
593Dic59⋊C4—22no—
594Dic59⋊C4—22no—
595Dic59⋊C4—41no—
596Dic59⋊C4—41no—
597Dic59⋊C4—41no—
598Dic59⋊C4—41no—
599Dic59⋊C4—41no—
600Dic59⋊C4—41no—
601C4×Dic59—22no—
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×Dic59C22×C414yescomplemented
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×C59C23×C412yes—
630C23×C59C23×C412yes—
631C23×C59C23×C412yes—
632C23×C59H(5,𝔽2)12yes—
633C23×C59H(5,𝔽2)12yes—
634C23×C59C2511yescharacteristic
635C22×D59—28no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
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—21no—
659C22×D59—21no—
660C22×D59—28no—
661C22×D59—44no—
662C22×D59—44no—
663C22×D59—44no—
664C22×D59—44no—
665C22×D59—44no—
666C22×D59—44no—
667C22×D59—44no—
668C22×D59—44no—
669C22×D59—82no—
670C22×D59—82no—
671C22×D59—82no—
672C22×D59—82no—
673C22×D59C23×C412yes—
674C22×D59C23×C412yes—
675C22×D59C23×C412yes—
676C22×D59C23×C412yes—
677Q8×C59—44no—
678D4×C59—28no—
679D4×C59—28no—
680D4×C59—44no—
681C2×C4×C59—28no—
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—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—44no—
714C2×C4×C59—44no—
715C2×C4×C59—44no—
716C2×C4×C59—82no—
717C2×C4×C59—82no—
718C2×C4×C59—82no—
719C2×C4×C59C23×C412yes—
720C2×C4×C59C23×C412yes—
721C2×C4×C59C23×C412yes—
722C2×C4×C59C23×C412yes—
723C2×C4×C59H(5,𝔽2)12yes—
724C22⋊D59—44no—
725C22⋊D59—44no—
726C22⋊D59—44no—
727C22⋊D59—44no—
728C22⋊D59—44no—
729C22⋊D59—44no—
730C22⋊D59—44no—
731C22⋊D59—44no—
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—21no—
762C2×Dic59—21no—
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×Dic59H(5,𝔽2)12yes—
772D236—44no—
773D236—44no—
774D236—44no—
775D236—44no—
776C4×D59—44no—
777C4×D59—44no—
778C4×D59—44no—
779C4×D59—44no—
780C4×D59—82no—
781C4×D59—82no—
782C4×D59—82no—
783C4×D59—82no—
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#51814yes—
806C22×C59C24×C411yescharacteristic
807C22×C59C2×H(5,𝔽2)11yescharacteristic
808C22×C59C2×H(5,𝔽2)11yescharacteristic
809C22×C59C2×H(5,𝔽2)11yescharacteristic
810C22×C59C2×H(5,𝔽2)11yescharacteristic
811C22×C59#58511yescharacteristic
812C22×C59#58511yescharacteristic
813C2×D59—22no—
814C2×D59—22no—
815C2×D59—22no—
816C2×D59—22no—
817C2×D59—22no—
818C2×D59—22no—
819C2×D59—22no—
820C2×D59—22no—
821C2×D59—22no—
822C2×D59—22no—
823C2×D59—22no—
824C2×D59—22no—
825C2×D59—416no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—88no—
843C4×C59—22no—
844C4×C59—22no—
845C4×C59—22no—
846C4×C59—22no—
847C4×C59—22no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853C4×C59—41no—
854C4×C59—41no—
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#2339D5911yescharacteristic, complemented
884#2337—591no—
885#2337—591no—
886#2333—591no—
887#2333—591no—
888#2328—591no—
889#2328—591no—
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—24no—
899C2×C59—42no—
900C2×C59—42no—
901C2×C59C2×#51811yescharacteristic
902C2×C59C4×H(5,𝔽2)11yescharacteristic
903C2×C59C4×H(5,𝔽2)11yescharacteristic
904C2×C59#353211yescharacteristic
905C2×C59#353311yescharacteristic
906C2×C59#354211yescharacteristic
907C2×C59#354211yescharacteristic
908D59—42no—
909D59—42no—
910D59—42no—
911D59—42no—
912C22×#41C2×D5911yescharacteristic
913C23×D4—591no—
914C24×C4—591no—
915#535—5916no—
916C2×#127—591no—
917C2×#127—591no—
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
939C2×C4×D4C2×D5911yescharacteristic
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#391C2×D5911yescharacteristic, complemented
949#391C2×D5911yescharacteristic, complemented
950#390—591no—
951#390—591no—
952#390—591no—
953#390—591no—
954#390—591no—
955#390—591no—
956#390—591no—
957#390—591no—
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#386—591no—
1015#386—591no—
1016#386—591no—
1017#386—591no—
1018#386C2×D5911yescharacteristic
1019#386C2×D5911yescharacteristic
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#382—591no—
1038#381—591no—
1039#381—591no—
1040#381C2×D5911yescharacteristic
1041#381C2×D5911yescharacteristic, complemented
1042#380—591no—
1043#380C2×D5911yescharacteristic, complemented
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⋊C4C2×D5911yescharacteristic, complemented
1062#376—591no—
1063#376—591no—
1064C2×#95—591no—
1065C2×#95—591no—
1066C2×#95C2×D5911yescharacteristic
1067C2×#95C2×D5911yescharacteristic, complemented
1068C59#3440611yescharacteristic, complemented, Sylow
1069C25—591no—
1070C25—591no—
1071C2×#41—42no—
1072C2×#41—42no—
1073C2×#41C4×D5918yescomplemented
1074C22×Q8C22×D5911yescharacteristic
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—591no—
1086C22×D4—591no—
1087C22×D4—591no—
1088C22×D4—2362no—
1089C22×D4—2362no—
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—2362no—
1106C23×C4—2362no—
1107C23×C4—2362no—
1108C23×C4C22×D5911yescharacteristic
1109C23×C4C22×D5911yescharacteristic
1110C23×C4C22×D5911yescharacteristic
1111C23×C4C22×D5911yescharacteristic
1112C23×C4C22×D5911yescharacteristic
1113C23×C4C22×D5911yescharacteristic
1114C23×C4C22×D5911yescharacteristic
1115#127—598no—
1116#127—598no—
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—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—2362no—
1197C2×C22⋊C4—2362no—
1198C2×C22⋊C4—2362no—
1199C2×C22⋊C4—2362no—
1200C2×C22⋊C4—2362no—
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×C42—591no—
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#95C22×D5911yescharacteristic
1252#95C22×D5911yescharacteristic
1253#95C22×D5911yescharacteristic
1254#95C22×D5911yescharacteristic
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—591no—
1267C24—594no—
1268C24—594no—
1269C24—1182no—
1270C24—1182no—
1271C24—1182no—
1272C24—1182no—
1273C24—2361no—
1274C24—2361no—
1275C24—2361no—
1276C24—2361no—
1277C24—2361no—
1278C24—2361no—
1279C24—2361no—
1280C24—2361no—
1281C24C23×D5911yescharacteristic
1282C24C23×D5911yescharacteristic
1283C24C23×D5911yescharacteristic
1284#41—416no—
1285C2×Q8—41no—
1286C2×Q8—41no—
1287C2×Q8C2×C4×D5914yescomplemented
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—594no—
1295C2×D4—594no—
1296C2×D4—594no—
1297C2×D4—594no—
1298C2×D4—594no—
1299C2×D4—594no—
1300C2×D4—594no—
1301C2×D4—594no—
1302C2×D4—594no—
1303C2×D4—594no—
1304C2×D4—594no—
1305C2×D4—594no—
1306C2×D4—2361no—
1307C2×D4—2361no—
1308C2×D4—2361no—
1309C2×D4—2361no—
1310C2×D4—2361no—
1311C2×D4—2361no—
1312C2×D4—2361no—
1313C2×D4—2361no—
1314C2×D4—23616no—
1315C2×D4—2361no—
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×D4—2361no—
1329C2×D4—2361no—
1330C2×D4—2361no—
1331C2×D4C2×C4×D5914yes—
1332C2×D4C2×C4×D5914yes—
1333C2×D4C2×C4×D5914yescomplemented
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—591no—
1353C22×C4—591no—
1354C22×C4—591no—
1355C22×C4—591no—
1356C22×C4—591no—
1357C22×C4—591no—
1358C22×C4—591no—
1359C22×C4—591no—
1360C22×C4—591no—
1361C22×C4—591no—
1362C22×C4—591no—
1363C22×C4—591no—
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—2361no—
1373C22×C4—2361no—
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—2361no—
1391C22×C4—2361no—
1392C22×C4—23616no—
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×C4C2×C4×D5914yes—
1402C22×C4C2×C4×D5914yescomplemented
1403C22×C4C2×C4×D5914yescomplemented
1404C22×C4C23×D5911yescharacteristic
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—22no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—594no—
1439C22⋊C4—594no—
1440C22⋊C4—594no—
1441C22⋊C4—594no—
1442C22⋊C4—594no—
1443C22⋊C4—594no—
1444C22⋊C4—594no—
1445C22⋊C4—594no—
1446C22⋊C4—594no—
1447C22⋊C4—594no—
1448C22⋊C4—1182no—
1449C22⋊C4—1182no—
1450C22⋊C4—1182no—
1451C22⋊C4—1182no—
1452C22⋊C4—1182no—
1453C22⋊C4—1182no—
1454C22⋊C4—1182no—
1455C22⋊C4—2361no—
1456C22⋊C4—2361no—
1457C22⋊C4—2361no—
1458C22⋊C4—2361no—
1459C22⋊C4—2361no—
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—41no—
1481C42—41no—
1482C42—594no—
1483C42—594no—
1484C42—1182no—
1485C42—1182no—
1486C42—2361no—
1487C42—2361no—
1488C42—2361no—
1489C42—2361no—
1490C42—2361no—
1491C42—2361no—
1492C42—2361no—
1493C42—2361no—
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—592no—
1511C23—592no—
1512C23—592no—
1513C23—592no—
1514C23—1188no—
1515C23—1181no—
1516C23—1181no—
1517C23—1181no—
1518C23—1181no—
1519C23—1181no—
1520C23—1181no—
1521C23—1181no—
1522C23—1181no—
1523C23—1181no—
1524C23—1181no—
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—1188no—
1540C23—4722no—
1541C23—4722no—
1542C23—4722no—
1543C23—4722no—
1544C23—2364no—
1545C23—2364no—
1546C23—2364no—
1547C23—2364no—
1548C23—2364no—
1549C23—2364no—
1550C23—2364no—
1551C23—2364no—
1552C23C22×C4×D5912yes—
1553C23C22×C4×D5912yes—
1554C23C22×C4×D5912yes—
1555C23#1427377212yes—
1556C23#1427377212yes—
1557C23C24×D5911yescharacteristic
1558Q8—44no—
1559D4—28no—
1560D4—28no—
1561D4—44no—
1562D4—2364no—
1563D4—2364no—
1564D4—2364no—
1565D4—2364no—
1566D4—2364no—
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—28no—
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—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—82no—
1610C2×C4—82no—
1611C2×C4—82no—
1612C2×C4—592no—
1613C2×C4—592no—
1614C2×C4—592no—
1615C2×C4—592no—
1616C2×C4—592no—
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—1181no—
1648C2×C4—4722no—
1649C2×C4—4722no—
1650C2×C4—4722no—
1651C2×C4—4722no—
1652C2×C4—4722no—
1653C2×C4—4722no—
1654C2×C4—4722no—
1655C2×C4—2364no—
1656C2×C4—2364no—
1657C2×C4—2364no—
1658C2×C4—2364no—
1659C2×C4—2364no—
1660C2×C4C22×C4×D5912yes—
1661C2×C4C22×C4×D5912yes—
1662C2×C4C22×C4×D5912yes—
1663C2×C4C22×C4×D5912yes—
1664C2×C4#1427377312yes—
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—1182no—
1686C22—1182no—
1687C22—1182no—
1688C22—1182no—
1689C22—1182no—
1690C22—1182no—
1691C22—1182no—
1692C22—1182no—
1693C22—1182no—
1694C22—1182no—
1695C22—1182no—
1696C22—1182no—
1697C22—4728no—
1698C22—23616no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22—2361no—
1708C22—2361no—
1709C22—2361no—
1710C22—2361no—
1711C22—2361no—
1712C22—2361no—
1713C22—2361no—
1714C22—2361no—
1715C22#1683787514yes—
1716C22C23×C4×D5911yescharacteristic
1717C22H(5,𝔽2)×D5911yescharacteristic
1718C22C2×#1427377211yescharacteristic
1719C22C2×#1427377211yescharacteristic
1720C22C2×#1427377311yescharacteristic
1721C22#1683823811yescharacteristic
1722C22#1683823911yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
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—24no—
1748C2—42no—
1749C2—42no—
1750C2—2362no—
1751C2—2362no—
1752C2—2362no—
1753C2—2362no—
1754C2C2×#1683787511yescharacteristic
1755C2#2143730211yescharacteristic
1756C2C4×#1427377311yescharacteristic
1757C2#2143824511yescharacteristic
1758C2#2143826611yescharacteristic
1759C2#2143839711yescharacteristic
1760C2#2143841311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2339C2
socle, cosocleC23×C59C25
prime radicalC2×#16837966C2
hypercenter#2339D59
hypocenterC59#34406
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #21427271C2semidirect
3. #21427268C2semidirect
4. #21427255C2semidirect
5. #21427250C2semidirect
6. #21427207C2semidirect
7. #21427159C2semidirect
8. #21427146C2semidirect
9. #21427143C2semidirect
10. #21427076C2semidirect
11. #21427076C2semidirect
12. #21427073C2semidirect
13. #21427073C2semidirect
14. #21426958C2semidirect
15. #21426952C2semidirect
16. #21426926C2semidirect
17. #21426908C2semidirect
18. #21426908C2semidirect
19. #21426861C2semidirect
20. #21426858C2semidirect
21. #21426817C2semidirect
22. #21426817C2semidirect
23. #21426799C2semidirect
24. #21426796C2semidirect
25. #21426759C2semidirect
26. #21426750C2semidirect
27. #21426673C2semidirect
28. #21426601C2semidirect
29. C4×#14273695C2semidirect
30. C2×#16837280C2semidirect
31. C59×#2339C2semidirect
34. #16837966C4semidirect
49. C2×C4×C22⋊D59C22semidirect
50. C2×C4×C22⋊D59C22semidirect
51. C2×C4×C22⋊D59C22semidirect
52. C2×C4×C22⋊D59C22semidirect
53. C2×(C22⋊D59)⋊C4C22semidirect
54. C2×(C22⋊D59)⋊C4C22semidirect
55. C2×(C22⋊D59)⋊C4C22semidirect
56. C2×(C22⋊D59)⋊C4C22semidirect
63. #16837309C22semidirect
64. #16837309C22semidirect
65. #16837302C22semidirect
66. #16837302C22semidirect
67. #16837302C22semidirect
68. #16837302C22semidirect
69. #16837302C22semidirect
70. #16837302C22semidirect
71. #16837302C22semidirect
72. #16837302C22semidirect
73. #16837294C22semidirect
74. #16837294C22semidirect
75. #16837294C22semidirect
76. #16837294C22semidirect
77. #16837293C22semidirect
78. #16837293C22semidirect
79. #16837293C22semidirect
80. #16837293C22semidirect
81. #16837292C22semidirect
82. #16837292C22semidirect
83. #16837292C22semidirect
84. #16837292C22semidirect
85. #16837291C22semidirect
86. #16837291C22semidirect
87. #16837291C22semidirect
88. #16837291C22semidirect
89. #16837287C22semidirect
90. #16837287C22semidirect
91. #16837287C22semidirect
92. #16837287C22semidirect
93. #16837285C22semidirect
94. #16837285C22semidirect
95. #16837285C22semidirect
96. #16837285C22semidirect
99. #16837282C22semidirect
100. #16837282C22semidirect
101. #16837281C22semidirect
102. #16837281C22semidirect
103. #16837281C22semidirect
104. #16837281C22semidirect
121. #16837279C22semidirect
122. #16837279C22semidirect
123. #16837279C22semidirect
124. #16837279C22semidirect
125. #16837278C22semidirect
126. #16837278C22semidirect
127. #16837278C22semidirect
128. #16837278C22semidirect
129. #16837278C22semidirect
130. #16837278C22semidirect
131. #16837278C22semidirect
132. #16837278C22semidirect
133. #16837276C22semidirect
134. #16837276C22semidirect
135. #16837276C22semidirect
136. #16837276C22semidirect
141. #16837273C22semidirect
142. #16837273C22semidirect
143. #16837273C22semidirect
144. #16837273C22semidirect
145. #16837269C22semidirect
146. #16837269C22semidirect
147. #16837266C22semidirect
148. #16837266C22semidirect
150. #16837265C22semidirect
151. #16837262C22semidirect
154. #16837253C22semidirect
155. #16837253C22semidirect
158. C4×(C2×D59)⋊C4C22semidirect
159. C4×(C2×D59)⋊C4C22semidirect
160. C4×(C2×D59)⋊C4C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
164. C4×C22⋊Dic59C22semidirect
165. #16837249C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837247C22semidirect
170. #16837247C22semidirect
172. C2×C59⋊#95C22semidirect
176. C59×#391C22semidirect
177. C59×#391C22semidirect
180. C59×#386C22semidirect
181. C59×#386C22semidirect
183. C59×#381C22semidirect
184. C59×#380C22semidirect
185. C4×C22⋊C4×C59C22semidirect
187. C2×#95×C59C22semidirect
192. C22×D236C2×C4semidirect
220. #14273723C2×C4semidirect
221. #14273723C2×C4semidirect
222. #14273716C2×C4semidirect
223. #14273716C2×C4semidirect
224. #14273701C2×C4semidirect
225. #14273701C2×C4semidirect
226. #14273701C2×C4semidirect
227. #14273701C2×C4semidirect
228. #14273695C2×C4semidirect
229. #14273695C2×C4semidirect
230. #14273695C2×C4semidirect
231. #14273695C2×C4semidirect
242. #14273686C2×C4semidirect
344. C2×#41×C59C2×C4semidirect
406. C2×Q8×C59C22×C4semidirect
415. C2×D4×C59C22×C4semidirect
435. C22×C4×C59C22×C4semidirect
436. C22×C4×C59C22×C4semidirect
469. C2×C22⋊D59C22×C4semidirect
470. C2×C22⋊D59C22×C4semidirect
471. C2×C22⋊D59C22×C4semidirect
472. C2×C22⋊D59C22×C4semidirect
585. (C2×D59)⋊C4C22×C4semidirect
586. (C2×D59)⋊C4C22×C4semidirect
587. (C2×D59)⋊C4C22×C4semidirect
588. (C2×D59)⋊C4C22×C4semidirect
591. C4⋊Dic59C22×C4semidirect
592. C4⋊Dic59C22×C4semidirect
611. C4×Dic59C22×C4semidirect
612. C4×Dic59C22×C4semidirect
883. #2339D59semidirect
948. #391C2×D59semidirect
949. #391C2×D59semidirect
1020. #386C2×D59semidirect
1021. #386C2×D59semidirect
1041. #381C2×D59semidirect
1043. #380C2×D59semidirect
1061. C4×C22⋊C4C2×D59semidirect
1067. C2×#95C2×D59semidirect
1068. C59#34406semidirect
1073. C2×#41C4×D59semidirect
1287. C2×Q8C2×C4×D59semidirect
1333. C2×D4C2×C4×D59semidirect
1402. C22×C4C2×C4×D59semidirect
1403. C22×C4C2×C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168379662
#214272712
#214272682
#214272552
#214272502
#214272072
#214271592
#214271462
#214271432
#214270762
#214270732
#214269582
#214269522
#214269262
#214269082
#214268612
#214268582
#214268172
#214267992
#214267962
#214267592
#214267502
#214266732
#214266012
C4×#142736952
C2×#168372802
C59×#23392
#3440659