Finite Group Databasebeta

← #28757517

Subgroups — #28757517

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×#16837937C211yesmaximal, characteristic, complemented
2C2×#117×D59C211yesmaximal, characteristic, complemented
3#21428350C211yesmaximal, characteristic, complemented
4#21428343C211yesmaximal, characteristic, complemented
5#21428324C211yesmaximal, characteristic, complemented
6#21428317C211yesmaximal, characteristic, complemented
7#21428296C211yesmaximal, characteristic, complemented
8#21428289C211yesmaximal, characteristic, complemented
9#21428252C211yesmaximal, characteristic, complemented
10#21428233C211yesmaximal, characteristic, complemented
11#21428226C211yesmaximal, characteristic, complemented
12#21428201C211yesmaximal, characteristic, complemented
13#21428194C211yesmaximal, characteristic, complemented
14#21427900C211yesmaximal, characteristic, complemented
15#21427836C211yesmaximal, characteristic, complemented
16#21427627C211yesmaximal, characteristic
17#21427565C211yesmaximal, characteristic, complemented
18#21427371C211yesmaximal, characteristic, complemented
19#21427362C211yesmaximal, characteristic, complemented
20#21427360C211yesmaximal, characteristic, complemented
21#21427333C211yesmaximal, characteristic, complemented
22#21426630C211yesmaximal, characteristic, complemented
23#21426604C211yesmaximal, characteristic, complemented
24#21426597C211yesmaximal, characteristic, complemented
25#21426597C211yesmaximal, characteristic, complemented
26#21426588C211yesmaximal, characteristic, complemented
27#21426556C211yesmaximal, characteristic, complemented
28#21426538C211yesmaximal, characteristic, complemented
29#21426534C211yesmaximal, characteristic, complemented
30C4×#14273689C211yesmaximal, characteristic, complemented
31C59×#2475C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33#16837937—28no—
34C2×#14273722C2211yescharacteristic
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273715C2211yescharacteristic
37C2×#14273712C2211yescharacteristic
38C2×#14273712C2211yescharacteristic, complemented
39C2×#14273707C2211yescharacteristic, complemented
40C2×#14273705C2211yescharacteristic
41C2×#14273702C2211yescharacteristic
42C2×#14273702C2211yescharacteristic
43C2×#14273697C2211yescharacteristic
44C2×#14273697C2211yescharacteristic
45C2×#14273692C2211yescharacteristic, complemented
46C2×C4×D236C2211yescharacteristic
47C2×#14273689C2211yescharacteristic
48C2×#14273689C2211yescharacteristic
49C2×#14273689C2211yescharacteristic
50C2×#14273689C2211yescharacteristic
51C2×#14273689C2211yescharacteristic
52C2×#14273689C2211yescharacteristic, complemented
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic
55C2×#14273686C2211yescharacteristic
56C2×#14273685C2211yescharacteristic
57C2×#14273685C2211yescharacteristic
58C2×#14273685C2211yescharacteristic, complemented
59C2×#14273684C2211yescharacteristic
60C2×#14273684C2211yescharacteristic
61C2×#14273683C2211yescharacteristic
62C2×#14273683C2211yescharacteristic
63#117×D59—28no—
64C2×C4⋊C4×D59C2211yescharacteristic
65C2×C4⋊C4×D59C2211yescharacteristic
66C2×C22⋊C4×D59C2211yescharacteristic
67C2×C22⋊C4×D59C2211yescharacteristic
68C2×C42×D59C2211yescharacteristic
69C2×C42×D59C2211yescharacteristic
70C2×C42×D59C2211yescharacteristic, complemented
71#16837343C2211yescharacteristic, complemented
72#16837341C2211yescharacteristic, complemented
73#16837339C2211yescharacteristic, complemented
74#16837338C2211yescharacteristic
75#16837337C2211yescharacteristic, complemented
76#16837335C2211yescharacteristic, complemented
77#16837333C2211yescharacteristic, complemented
78#16837332C2211yescharacteristic, complemented
79#16837332C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic
81#16837331C2211yescharacteristic
82#16837329C2211yescharacteristic
83#16837329C2211yescharacteristic
84#16837329C2211yescharacteristic, complemented
85#16837328C2211yescharacteristic, complemented
86#16837326C2211yescharacteristic, complemented
87#16837326C2211yescharacteristic, complemented
88#16837325C2211yescharacteristic
89#16837322C2211yescharacteristic, complemented
90#16837320C2211yescharacteristic
91#16837320C2211yescharacteristic
92#16837320C2211yescharacteristic, complemented
93#16837319C2211yescharacteristic
94#16837319C2211yescharacteristic
95#16837317C2211yescharacteristic
96#16837317C2211yescharacteristic
97#16837314C2211yescharacteristic
98#16837311C2211yescharacteristic
99#16837306C2211yescharacteristic, complemented
100#16837304C2211yescharacteristic, complemented
101#16837302C2211yescharacteristic
102#16837302C2211yescharacteristic
103#16837299C2211yescharacteristic, complemented
104#16837299C2211yescharacteristic, complemented
105#16837297C2211yescharacteristic, complemented
106#16837295C2211yescharacteristic
107#16837295C2211yescharacteristic
108#16837294C2211yescharacteristic
109#16837293C2211yescharacteristic
110#16837293C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic, complemented
112#16837292C2211yescharacteristic
113#16837292C2211yescharacteristic, complemented
114#16837292C2211yescharacteristic, complemented
115#16837291C2211yescharacteristic
116#16837291C2211yescharacteristic, complemented
117#16837291C2211yescharacteristic, complemented
118#16837288C2211yescharacteristic, complemented
119#16837288C2211yescharacteristic, complemented
120#16837287C2211yescharacteristic, complemented
121#16837286C2211yescharacteristic, complemented
122#16837286C2211yescharacteristic, complemented
123#16837285C2211yescharacteristic, complemented
124#16837284C2211yescharacteristic, complemented
125#16837281C2211yescharacteristic
126#16837281C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837276C2211yescharacteristic
138#16837276C2211yescharacteristic
139#16837276C2211yescharacteristic, complemented
140#16837273C2211yescharacteristic
141#16837273C2211yescharacteristic
142#16837273C2211yescharacteristic
143#16837273C2211yescharacteristic
144#16837273C2211yescharacteristic
145#16837273C2211yescharacteristic
146#16837273C2211yescharacteristic, complemented
147#16837261C2211yescharacteristic
148#16837259C2211yescharacteristic
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151C4⋊C4×Dic59C2211yescharacteristic, complemented
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4⋊C4×Dic59C2211yescharacteristic, complemented
154C4⋊C4×Dic59C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156#16837253C2211yescharacteristic, complemented
157#16837253C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic
159C22⋊C4×Dic59C2211yescharacteristic
160C4×(C2×D59)⋊C4C2211yescharacteristic
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162#16837249C2211yescharacteristic
163#16837249C2211yescharacteristic
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#16837247C2211yescharacteristic, complemented
173C42×Dic59C2211yescharacteristic, complemented
174C2×#125×C59C2211yescharacteristic, complemented
175C2×#117×C59C2211yescharacteristic
176C59×#400C2211yescharacteristic, complemented
177C59×#398C2211yescharacteristic, complemented
178C59×#397C2211yescharacteristic
179C59×#396C2211yescharacteristic
180C59×#389C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic
182C59×#388C2211yescharacteristic
183C59×#387C2211yescharacteristic, complemented
184C59×#387C2211yescharacteristic, complemented
185C59×#387C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic
187C59×#385C2211yescharacteristic
188C4×C4⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C22×C4×D59—24no—
200C22×C4×D59—24no—
201C22×C4×D59—24no—
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214#14273722—24no—
215#14273722—24no—
216#14273715—24no—
217#14273712—24no—
218#14273712—24no—
219#14273707—24no—
220#14273705—24no—
221#14273702—24no—
222#14273702—24no—
223#14273697—24no—
224#14273697—24no—
225#14273692—24no—
226C4×D236—24no—
227#14273689—24no—
228#14273689—24no—
229#14273689—24no—
230#14273689—24no—
231#14273689—24no—
232#14273689—24no—
233(C22⋊D59)⋊C4—24no—
234(C22⋊D59)⋊C4—24no—
235#14273686—24no—
236#14273685—24no—
237#14273685—24no—
238#14273685D418yescomplemented
239#14273684—24no—
240#14273684—24no—
241#14273683—24no—
242#14273683—24no—
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C4⋊C4×D59—24no—
264C4⋊C4×D59—24no—
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
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
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C22⋊C4×D59—24no—
304C22⋊C4×D59—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
320C2×C4×Dic59C2311yescharacteristic
321C42×D59—24no—
322C42×D59—24no—
323C42×D59—24no—
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
348C23×C4×C59C2311yescharacteristic
349#125×C59—24no—
350#117×C59—24no—
351C2×C4⋊C4×C59C2311yescharacteristic
352C2×C4⋊C4×C59C2311yescharacteristic
353C2×C4⋊C4×C59C2311yescharacteristic
354C2×C4⋊C4×C59C2311yescharacteristic
355C2×C4⋊C4×C59C2311yescharacteristic
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×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C42×C59C2311yescharacteristic
370C2×C42×C59C2311yescharacteristic
371C2×C42×C59C2311yescharacteristic
372C2×C42×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
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59C2411yescharacteristic
386C23×D59—22no—
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—22no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59C2411yescharacteristic
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C22×C4×C59—22no—
398C22×C4×C59—22no—
399C22×C4×C59—22no—
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C2×C22⋊D59—22no—
415C2×C22⋊D59—22no—
416C2×C22⋊D59—22no—
417C2×C22⋊D59—22no—
418C2×C22⋊D59—41no—
419C2×C22⋊D59—41no—
420C22×Dic59—22no—
421C22×Dic59—22no—
422C22×Dic59#4114yes—
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C22×Dic59C2411yescharacteristic
432C22×Dic59C2411yescharacteristic
433C22×Dic59C2411yescharacteristic
434C22×Dic59C2411yescharacteristic
435C2×D236—22no—
436C2×D236—22no—
437C2×D236—22no—
438C2×D236—22no—
439C2×D236—22no—
440C2×D236—22no—
441C2×D236—22no—
442C2×D236—22no—
443C2×D236—22no—
444C2×D236—22no—
445C2×D236—22no—
446C2×D236—41no—
447C2×D236—41no—
448C2×D236—41no—
449C2×D236#4114yes—
450C2×C4×D59—232no—
451C2×C4×D59—22no—
452C2×C4×D59—22no—
453C2×C4×D59—22no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
456C2×C4×D59—22no—
457C2×C4×D59—22no—
458C2×C4×D59—22no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
469C2×C4×D59—22no—
470C2×C4×D59—22no—
471C2×C4×D59—22no—
472C2×C4×D59—22no—
473C2×C4×D59—22no—
474C2×C4×D59—22no—
475C2×C4×D59—22no—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59C2×D414yes—
486C2×C4×D59#4114yes—
487C2×Dic118—22no—
488C2×Dic118—22no—
489C2×Dic118—41no—
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—22no—
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—
508C42×C59—22no—
509C42×C59—22no—
510C42×C59—22no—
511C42×C59—22no—
512C22⋊Dic59—22no—
513C22⋊Dic59—22no—
514C22⋊Dic59—41no—
515C22⋊Dic59—41no—
516(C2×D59)⋊C4—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—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4C2×D414yes—
548(C2×D59)⋊C4C2×D414yes—
549(C2×D59)⋊C4#4114yes—
550C4⋊Dic59—22no—
551C4⋊Dic59—22no—
552C4⋊Dic59—22no—
553C4⋊Dic59—41no—
554C4⋊Dic59—41no—
555C4⋊Dic59C2×D414yes—
556Dic59⋊C4—22no—
557Dic59⋊C4—22no—
558Dic59⋊C4—22no—
559Dic59⋊C4—22no—
560Dic59⋊C4—22no—
561Dic59⋊C4—22no—
562Dic59⋊C4—22no—
563Dic59⋊C4—22no—
564Dic59⋊C4—22no—
565Dic59⋊C4—22no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
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×C59C2×#4112yes—
593C23×C59C2511yescharacteristic
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—28no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—21no—
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—44no—
619C22×D59—44no—
620C22×D59—44no—
621C22×D59—44no—
622C22×D59—44no—
623C22×D59—44no—
624C22×D59C22×D412yes—
625C22×D59C2×#4112yes—
626C22×D59C2×#4112yes—
627C22×D59C2×#4112yes—
628C22×D59C2×#4112yes—
629C2×C4×C59—28no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
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—21no—
665C2×C4×C59—21no—
666C2×C4×C59C22×D412yes—
667C2×C4×C59C22×D412yes—
668C2×C4×C59C22×D412yes—
669C2×C4×C59C2×#4112yes—
670C2×C4×C59C2×#4112yes—
671C2×C4×C59C2×#4112yes—
672C22⋊D59—44no—
673C22⋊D59—44no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—28no—
683C2×Dic59—21no—
684C2×Dic59—21no—
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×Dic59C22×D412yes—
705C2×Dic59C22×D412yes—
706C2×Dic59C22×D412yes—
707C2×Dic59C2×#4112yes—
708C2×Dic59C2×#4112yes—
709C2×Dic59C2×#4112yes—
710C2×Dic59C2×#4112yes—
711D236—28no—
712D236—44no—
713D236—44no—
714D236—44no—
715D236—44no—
716C4×D59—28no—
717C4×D59—28no—
718C4×D59—28no—
719C4×D59—28no—
720C4×D59—44no—
721C4×D59—44no—
722C4×D59—44no—
723C4×D59—44no—
724C4×D59—44no—
725C4×D59—44no—
726C4×D59—44no—
727C4×D59—44no—
728Dic118—44no—
729#34740—591nomaximal, Sylow
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—22no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59C23×D411yescharacteristic
738C22×C59C22×#4111yescharacteristic
739C22×C59C22×#4111yescharacteristic
740C22×C59C22×#4111yescharacteristic
741C22×C59C22×#4111yescharacteristic
742C22×C59#58511yescharacteristic
743C22×C59#58511yescharacteristic
744C2×D59—22no—
745C2×D59—22no—
746C2×D59—22no—
747C2×D59—22no—
748C2×D59—22no—
749C2×D59—22no—
750C2×D59—22no—
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—416no—
757C2×D59—41no—
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#52914yescomplemented
773C4×C59—22no—
774C4×C59—22no—
775C4×C59—22no—
776C4×C59—22no—
777C4×C59—22no—
778C4×C59—22no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787Dic59—22no—
788Dic59—22no—
789Dic59—22no—
790Dic59—22no—
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#2475D5911yescharacteristic, complemented
808#2474—591no—
809#2473—591no—
810#2472—591no—
811#2471—591no—
812#2470—591no—
813#2449—591no—
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—42no—
831C2×C59C2×#52511yescharacteristic
832C2×C59C2×#52911yescharacteristic
833C2×C59#345511yescharacteristic
834C2×C59D4×#4111yescharacteristic
835C2×C59D4×#4111yescharacteristic
836C2×C59#347511yescharacteristic
837C2×C59#347511yescharacteristic
838D59—24no—
839D59—42no—
840D59—42no—
841D59—81no—
842C24×C4—591no—
843#529—1188no—
844C2×#126—591no—
845C2×#126—591no—
846C2×#125C2×D5911yescharacteristic, complemented
847C2×#124—591no—
848C2×#123—591no—
849C2×#123—591no—
850C2×C22⋊Q8—591no—
851C2×C22⋊Q8—591no—
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×D4—591no—
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—1188no—
875C2×#117C2×D5911yescharacteristic
876C22×C4⋊C4—591no—
877C22×C4⋊C4—591no—
878C22×C22⋊C4—591no—
879C22×C22⋊C4—591no—
880C22×C42—591no—
881C22×C42—591no—
882C22×C42—591no—
883#400—591no—
884#400—591no—
885#400C2×D5911yescharacteristic, complemented
886#399—591no—
887#399—591no—
888#399—591no—
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#397C2×D5911yescharacteristic
901#396—591no—
902#396—591no—
903#396—591no—
904#396C2×D5911yescharacteristic
905#395—591no—
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#388C2×D5911yescharacteristic
936#388C2×D5911yescharacteristic
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#387—591no—
942#387—591no—
943#387—591no—
944#387C2×D5911yescharacteristic, complemented
945#387C2×D5911yescharacteristic, complemented
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#386—591no—
958#386—591no—
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#385—591no—
969#385C2×D5911yescharacteristic
970#385C2×D5911yescharacteristic
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⋊C4C2×D5911yescharacteristic, complemented
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×Q8—591no—
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4—591no—
1005C22×D4—591no—
1006C22×D4—591no—
1007C22×D4—591no—
1008C22×D4—591no—
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—591no—
1020C23×C4—591no—
1021C23×C4—591no—
1022C23×C4—1184no—
1023C23×C4—1184no—
1024C23×C4—1184no—
1025C23×C4C22×D5911yescharacteristic
1026#126—1184no—
1027#126—1184no—
1028#125—24no—
1029#124—1184no—
1030#123—1184no—
1031#123—1184no—
1032C22⋊Q8—1184no—
1033C22⋊Q8—1184no—
1034#121—1184no—
1035#121—1184no—
1036#120—1184no—
1037#120—1184no—
1038C4×Q8—1184no—
1039C4×D4—1184no—
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—24no—
1049#117—598no—
1050#117—1184no—
1051#117—1184no—
1052#117—1184no—
1053#117—1184no—
1054#117—1184no—
1055#117—1184no—
1056#117—1184no—
1057C2×C4⋊C4—591no—
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—1184no—
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—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—1184no—
1130C2×C22⋊C4—1184no—
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—1184no—
1154C2×C42—1184no—
1155C2×C42—1184no—
1156C2×C42C22×D5911yescharacteristic
1157C2×C42C22×D5911yescharacteristic
1158C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1185#95C22×D5911yescharacteristic
1186#95C22×D5911yescharacteristic
1187#95C22×D5911yescharacteristic
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—591no—
1200C24—1182no—
1201C24—1182no—
1202C24—1182no—
1203C24—1182no—
1204C24—1182no—
1205C24—2361no—
1206C24—2361no—
1207C24C23×D5911yescharacteristic
1208C2×Q8—1182no—
1209C2×Q8—1182no—
1210C2×Q8—2361no—
1211C2×D4—594no—
1212C2×D4—1182no—
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—1182no—
1227C2×D4—2361no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C2×D4—2361no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—591no—
1236C22×C4—594no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—591no—
1241C22×C4—594no—
1242C22×C4—594no—
1243C22×C4—591no—
1244C22×C4—591no—
1245C22×C4—591no—
1246C22×C4—591no—
1247C22×C4—591no—
1248C22×C4—591no—
1249C22×C4—591no—
1250C22×C4—1182no—
1251C22×C4—1182no—
1252C22×C4—1182no—
1253C22×C4—1182no—
1254C22×C4—1182no—
1255C22×C4—1182no—
1256C22×C4—1182no—
1257C22×C4—1182no—
1258C22×C4—1182no—
1259C22×C4—1182no—
1260C22×C4—1182no—
1261C22×C4—1182no—
1262C22×C4—1182no—
1263C22×C4—1182no—
1264C22×C4—1182no—
1265C22×C4—1182no—
1266C22×C4—1182no—
1267C22×C4—11832no—
1268C22×C4—1182no—
1269C22×C4—1182no—
1270C22×C4—1182no—
1271C22×C4—1182no—
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—2361no—
1282C22×C4—2361no—
1283C22×C4—2361no—
1284C22×C4—2361no—
1285C22×C4—2361no—
1286C22×C4—2361no—
1287C22×C4C23×D5911yescharacteristic
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—22no—
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—2361no—
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—594no—
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—2361no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—594no—
1382C42—594no—
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—592no—
1404C23—592no—
1405C23—592no—
1406C23—592no—
1407C23—592no—
1408C23—1188no—
1409C23—1181no—
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—1181no—
1430C23—1181no—
1431C23—1181no—
1432C23—2364no—
1433C23—2364no—
1434C23—2364no—
1435C23—2364no—
1436C23—2364no—
1437C23—2364no—
1438C23#41×D5912yes—
1439C23C24×D5911yescharacteristic
1440Q8—2364no—
1441D4—1188no—
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—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—592no—
1486C2×C4—592no—
1487C2×C4—592no—
1488C2×C4—592no—
1489C2×C4—592no—
1490C2×C4—592no—
1491C2×C4—592no—
1492C2×C4—1188no—
1493C2×C4—1188no—
1494C2×C4—1188no—
1495C2×C4—1188no—
1496C2×C4—1188no—
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—2364no—
1527C2×C4—2364no—
1528C2×C4—2364no—
1529C2×C4—2364no—
1530C2×C4—2364no—
1531C2×C4—2364no—
1532C2×C4—2364no—
1533C2×C4—2364no—
1534C2×C4C2×D4×D5912yes—
1535C2×C4C2×D4×D5912yes—
1536C2×C4C2×D4×D5912yes—
1537C2×C4#41×D5912yes—
1538C2×C4#41×D5912yes—
1539C2×C4#41×D5912yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—594no—
1548C22—1182no—
1549C22—1182no—
1550C22—1182no—
1551C22—1182no—
1552C22—1182no—
1553C22—1182no—
1554C22—1182no—
1555C22—1182no—
1556C22—1182no—
1557C22—1182no—
1558C22—1182no—
1559C22—1182no—
1560C22—23616no—
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—2361no—
1576C22C22×D4×D5911yescharacteristic
1577C22C2×#41×D5911yescharacteristic
1578C22C2×#41×D5911yescharacteristic
1579C22C2×#41×D5911yescharacteristic
1580C22C2×#41×D5911yescharacteristic
1581C22#1683823911yescharacteristic
1582C22#1683823911yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—594no—
1598C4—1182no—
1599C4—1182no—
1600C4—1182no—
1601C4—1182no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C4—2361no—
1607C4—2361no—
1608C4—2361no—
1609C2—42no—
1610C2—1184no—
1611C2—4721no—
1612C2—2362no—
1613C2—2362no—
1614C2#525×D5911yescharacteristic
1615C2#529×D5911yescharacteristic
1616C2#2143748711yescharacteristic
1617C2#2143758311yescharacteristic
1618C2#2143758511yescharacteristic
1619C2#2143766111yescharacteristic
1620C2#2143766111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2475C2
prime radical#21427627C2
hypercenter#2475D59
hypocenterC59#34740
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2475

Complements

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

NH ≅ G/Ntype
1. C2×#16837937C2semidirect
2. C2×#117×D59C2semidirect
3. #21428350C2semidirect
4. #21428343C2semidirect
5. #21428324C2semidirect
6. #21428317C2semidirect
7. #21428296C2semidirect
8. #21428289C2semidirect
9. #21428252C2semidirect
10. #21428233C2semidirect
11. #21428226C2semidirect
12. #21428201C2semidirect
13. #21428194C2semidirect
14. #21427900C2semidirect
15. #21427836C2semidirect
17. #21427565C2semidirect
18. #21427371C2semidirect
19. #21427362C2semidirect
20. #21427360C2semidirect
21. #21427333C2semidirect
22. #21426630C2semidirect
23. #21426604C2semidirect
24. #21426597C2semidirect
25. #21426597C2semidirect
26. #21426588C2semidirect
27. #21426556C2semidirect
28. #21426538C2semidirect
29. #21426534C2semidirect
30. C4×#14273689C2semidirect
31. C59×#2475C2semidirect
35. C2×#14273722C22semidirect
38. C2×#14273712C22semidirect
39. C2×#14273707C22semidirect
45. C2×#14273692C22semidirect
52. C2×#14273689C22semidirect
58. C2×#14273685C22semidirect
70. C2×C42×D59C22semidirect
71. #16837343C22semidirect
72. #16837341C22semidirect
73. #16837339C22semidirect
75. #16837337C22semidirect
76. #16837335C22semidirect
77. #16837333C22semidirect
78. #16837332C22semidirect
79. #16837332C22semidirect
84. #16837329C22semidirect
85. #16837328C22semidirect
86. #16837326C22semidirect
87. #16837326C22semidirect
89. #16837322C22semidirect
92. #16837320C22semidirect
99. #16837306C22semidirect
100. #16837304C22semidirect
103. #16837299C22semidirect
104. #16837299C22semidirect
105. #16837297C22semidirect
110. #16837293C22semidirect
111. #16837293C22semidirect
113. #16837292C22semidirect
114. #16837292C22semidirect
116. #16837291C22semidirect
117. #16837291C22semidirect
118. #16837288C22semidirect
119. #16837288C22semidirect
120. #16837287C22semidirect
121. #16837286C22semidirect
122. #16837286C22semidirect
123. #16837285C22semidirect
124. #16837284C22semidirect
139. #16837276C22semidirect
146. #16837273C22semidirect
151. C4⋊C4×Dic59C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4⋊C4×Dic59C22semidirect
154. C4⋊C4×Dic59C22semidirect
155. #16837253C22semidirect
156. #16837253C22semidirect
157. #16837253C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. #16837247C22semidirect
173. C42×Dic59C22semidirect
174. C2×#125×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#398C22semidirect
180. C59×#389C22semidirect
183. C59×#387C22semidirect
184. C59×#387C22semidirect
185. C59×#387C22semidirect
188. C4×C4⋊C4×C59C22semidirect
238. #14273685D4semidirect
772. C2×D59#529semidirect
807. #2475D59semidirect
846. C2×#125C2×D59semidirect
885. #400C2×D59semidirect
893. #398C2×D59semidirect
922. #389C2×D59semidirect
944. #387C2×D59semidirect
945. #387C2×D59semidirect
946. #387C2×D59semidirect
982. C4×C4⋊C4C2×D59semidirect
999. C59#34740semidirect

Maximal subgroups

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

subgroupindex
C2×#168379372
C2×#117×D592
#214283502
#214283432
#214283242
#214283172
#214282962
#214282892
#214282522
#214282332
#214282262
#214282012
#214281942
#214279002
#214278362
#214276272
#214275652
#214273712
#214273622
#214273602
#214273332
#214266302
#214266042
#214265972
#214265882
#214265562
#214265382
#214265342
C4×#142736892
C59×#24752
#3474059