Finite Group Databasebeta

← #28761480

Subgroups — #28761480

Order 15104.

2378 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432391C211yesmaximal, characteristic, complemented
2#21432391C211yesmaximal, characteristic, complemented
3#21432382C211yesmaximal, characteristic, complemented
4#21432379C211yesmaximal, characteristic
5#21430065C211yesmaximal, characteristic, complemented
6#21430050C211yesmaximal, characteristic, complemented
7#21430050C211yesmaximal, characteristic, complemented
8#21430028C211yesmaximal, characteristic, complemented
9#21428662C211yesmaximal, characteristic, complemented
10#21428650C211yesmaximal, characteristic, complemented
11#21428593C211yesmaximal, characteristic, complemented
12#21428482C211yesmaximal, characteristic, complemented
13#21428480C211yesmaximal, characteristic, complemented
14#21428419C211yesmaximal, characteristic, complemented
15#21428417C211yesmaximal, characteristic, complemented
16#21427922C211yesmaximal, characteristic, complemented
17#21427918C211yesmaximal, characteristic, complemented
18#21427850C211yesmaximal, characteristic, complemented
19#21427846C211yesmaximal, characteristic, complemented
20#21427654C211yesmaximal, characteristic, complemented
21#21427640C211yesmaximal, characteristic, complemented
22#21427578C211yesmaximal, characteristic, complemented
23#21427576C211yesmaximal, characteristic, complemented
24#21426830C211yesmaximal, characteristic, complemented
25#21426795C211yesmaximal, characteristic, complemented
26#21426732C211yesmaximal, characteristic, complemented
27#21426728C211yesmaximal, characteristic, complemented
28C4×#14273697C211yesmaximal, characteristic, complemented
29#21426597C211yesmaximal, characteristic, complemented
30C2×#95×D59C211yesmaximal, characteristic, complemented
31C59×#2505C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35C2×#14273712C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273712C2211yescharacteristic
38C2×#14273712C2211yescharacteristic
39C2×#14273705C2211yescharacteristic
40C2×#14273705C2211yescharacteristic
41C2×#14273704C2211yescharacteristic
42C2×#14273702C2211yescharacteristic
43C2×#14273702C2211yescharacteristic
44C2×#14273701C2211yescharacteristic
45C2×#14273697C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×C4×D236C2211yescharacteristic
48C2×C4×D236C2211yescharacteristic
49C2×#14273689C2211yescharacteristic
50C2×#14273689C2211yescharacteristic
51C2×C4×C22⋊D59C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C59⋊#401C2211yescharacteristic, complemented
54C59⋊#401C2211yescharacteristic, complemented
55#16837344C2211yescharacteristic, complemented
56#16837344C2211yescharacteristic, complemented
57#16837343C2211yescharacteristic, complemented
58#16837343C2211yescharacteristic, complemented
59#16837343C2211yescharacteristic, complemented
60#16837342C2211yescharacteristic, complemented
61#16837342C2211yescharacteristic, complemented
62#16837340C2211yescharacteristic, complemented
63#16837340C2211yescharacteristic, complemented
64#16837335C2211yescharacteristic, complemented
65#16837333C2211yescharacteristic, complemented
66#16837332C2211yescharacteristic, complemented
67#16837331C2211yescharacteristic, complemented
68#16837331C2211yescharacteristic, complemented
69#16837331C2211yescharacteristic, complemented
70#16837331C2211yescharacteristic, complemented
71#16837331C2211yescharacteristic, complemented
72#16837331C2211yescharacteristic, complemented
73#16837328C2211yescharacteristic, complemented
74#16837328C2211yescharacteristic, complemented
75#16837324C2211yescharacteristic, complemented
76#16837324C2211yescharacteristic, complemented
77#16837320C2211yescharacteristic, complemented
78#16837319C2211yescharacteristic, complemented
79#16837315C2211yescharacteristic, complemented
80#16837315C2211yescharacteristic, complemented
81#16837307C2211yescharacteristic, complemented
82#16837306C2211yescharacteristic, complemented
83#16837297C2211yescharacteristic, complemented
84#16837293C2211yescharacteristic, complemented
85#16837293C2211yescharacteristic, complemented
86#16837292C2211yescharacteristic, complemented
87#16837292C2211yescharacteristic, complemented
88#16837291C2211yescharacteristic, complemented
89#16837291C2211yescharacteristic, complemented
90#16837289C2211yescharacteristic, complemented
91#16837288C2211yescharacteristic, complemented
92#16837288C2211yescharacteristic, complemented
93#16837288C2211yescharacteristic, complemented
94#16837287C2211yescharacteristic, complemented
95#16837287C2211yescharacteristic, complemented
96#16837286C2211yescharacteristic, complemented
97#16837283C2211yescharacteristic, complemented
98#16837281C2211yescharacteristic
99#16837281C2211yescharacteristic
100#16837281C2211yescharacteristic
101#16837280C2211yescharacteristic
102#16837280C2211yescharacteristic
103#16837280C2211yescharacteristic
104#16837280C2211yescharacteristic
105#16837280C2211yescharacteristic
106#16837280C2211yescharacteristic
107#16837280C2211yescharacteristic
108#16837280C2211yescharacteristic
109#16837280C2211yescharacteristic
110#16837280C2211yescharacteristic
111#16837280C2211yescharacteristic
112#16837280C2211yescharacteristic
113#16837280C2211yescharacteristic, complemented
114#16837280C2211yescharacteristic, complemented
115#16837279C2211yescharacteristic
116#16837279C2211yescharacteristic
117#16837279C2211yescharacteristic
118#16837279C2211yescharacteristic
119#16837279C2211yescharacteristic
120#16837277C2211yescharacteristic
121#16837276C2211yescharacteristic
122#16837276C2211yescharacteristic
123#16837276C2211yescharacteristic
124#16837276C2211yescharacteristic
125#16837276C2211yescharacteristic, complemented
126#16837275C2211yescharacteristic
127#16837274C2211yescharacteristic
128#16837274C2211yescharacteristic
129#16837273C2211yescharacteristic
130#16837273C2211yescharacteristic
131#16837273C2211yescharacteristic
132#16837273C2211yescharacteristic
133#16837273C2211yescharacteristic
134#16837273C2211yescharacteristic
135#16837273C2211yescharacteristic
136#16837273C2211yescharacteristic
137#16837273C2211yescharacteristic, complemented
138#16837270C2211yescharacteristic, complemented
139#16837269C2211yescharacteristic, complemented
140#16837266C2211yescharacteristic, complemented
141#16837264C2211yescharacteristic
142#16837264C2211yescharacteristic
143#16837264C2211yescharacteristic
144#16837264C2211yescharacteristic
145#16837264C2211yescharacteristic, complemented
146#16837264C2211yescharacteristic, complemented
147#16837261C2211yescharacteristic
148#16837261C2211yescharacteristic
149#16837261C2211yescharacteristic, complemented
150#16837260C2211yescharacteristic
151#16837259C2211yescharacteristic
152#16837259C2211yescharacteristic
153#16837259C2211yescharacteristic, complemented
154#16837257C2211yescharacteristic
155#16837257C2211yescharacteristic
156C22⋊C4×Dic59C2211yescharacteristic
157C4×(C2×D59)⋊C4C2211yescharacteristic
158C4×(C2×D59)⋊C4C2211yescharacteristic
159#16837249C2211yescharacteristic
160#16837249C2211yescharacteristic
161C2×C59⋊#95C2211yescharacteristic
162C2×C59⋊#95C2211yescharacteristic
163C2×C59⋊#95C2211yescharacteristic
164#95×D59C2211yescharacteristic
165#95×D59C2211yescharacteristic
166#95×D59C2211yescharacteristic
167#95×D59C2211yescharacteristic
168#95×D59C2211yescharacteristic
169#95×D59C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C59×#400C2211yescharacteristic, complemented
173C59×#400C2211yescharacteristic, complemented
174C59×#400C2211yescharacteristic, complemented
175C59×#398C2211yescharacteristic, complemented
176C59×#389C2211yescharacteristic, complemented
177C59×#387C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#385C2211yescharacteristic
180C59×#385C2211yescharacteristic
181C59×#385C2211yescharacteristic
182C59×#385C2211yescharacteristic
183C59×#382C2211yescharacteristic, complemented
184C59×#380C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C22×C4×D59—24no—
200C22×C4×D59—24no—
201C22×C4×D59—24no—
202C22×C4×D59—42no—
203C22×C4×D59—42no—
204C22×C4×D59—42no—
205C22×C4×D59—42no—
206C22×C4×D59—42no—
207C22×C4×D59—42no—
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222#14273712—42no—
223#14273712—42no—
224#14273712—42no—
225#14273712—42no—
226#14273705—24no—
227#14273705—42no—
228#14273704—42no—
229#14273702—24no—
230#14273702—42no—
231#14273701—42no—
232#14273697—24no—
233#14273697—24no—
234C4×D236—24no—
235C4×D236—42no—
236#14273689—24no—
237#14273689—42no—
238C4×C22⋊D59—42no—
239(C22⋊D59)⋊C4—42no—
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C42×C59C2311yescharacteristic
352C2×C42×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59C2411yescharacteristic
370C23×D59—22no—
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—22no—
376C23×D59#4114yes—
377C23×D59C2411yescharacteristic
378C23×D59C2411yescharacteristic
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C22×C4×C59—22no—
382C22×C4×C59—22no—
383C22×C4×C59—22no—
384C22×C4×C59—22no—
385C22×C4×C59—22no—
386C22×C4×C59—41no—
387C22×C4×C59—41no—
388C22×C4×C59—41no—
389C22×C4×C59—41no—
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C2×C22⋊D59—22no—
405C2×C22⋊D59—22no—
406C2×C22⋊D59—22no—
407C2×C22⋊D59—22no—
408C2×C22⋊D59—22no—
409C2×C22⋊D59—22no—
410C22×Dic59—22no—
411C22×Dic59—22no—
412C22×Dic59—22no—
413C22×Dic59—22no—
414C22×Dic59—22no—
415C22×Dic59—41no—
416C22×Dic59—41no—
417C22×Dic59—41no—
418C22×Dic59—41no—
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C2×D236—22no—
432C2×D236—22no—
433C2×D236—22no—
434C2×D236—22no—
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—41no—
445C2×D236—41no—
446C2×C4×D59—22no—
447C2×C4×D59—22no—
448C2×C4×D59—22no—
449C2×C4×D59—22no—
450C2×C4×D59—22no—
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—41no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—416no—
483C2×C4×D59—416no—
484C2×C4×D59—416no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×C4×D59#4114yes—
490C2×C4×D59#4114yes—
491C2×Dic118—22no—
492C2×Dic118—41no—
493C2×Dic118—41no—
494C4⋊C4×C59—22no—
495C4⋊C4×C59—22no—
496C4⋊C4×C59—22no—
497C4⋊C4×C59—41no—
498C4⋊C4×C59—41no—
499C4⋊C4×C59—41no—
500C4⋊C4×C59—41no—
501C4⋊C4×C59—41no—
502C4⋊C4×C59—41no—
503C4⋊C4×C59—41no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C42×C59—22no—
509C42×C59—41no—
510C22⋊Dic59—22no—
511C22⋊Dic59—22no—
512(C2×D59)⋊C4—22no—
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—22no—
515(C2×D59)⋊C4—22no—
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—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
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—
544C4⋊Dic59—22no—
545C4⋊Dic59—41no—
546C4⋊Dic59—41no—
547C4⋊Dic59—41no—
548Dic59⋊C4—22no—
549Dic59⋊C4—22no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552Dic59⋊C4—41no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559Dic59⋊C4—41no—
560C4×Dic59—22no—
561C4×Dic59—41no—
562C4×Dic59—41no—
563C4×Dic59—41no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59C2×#4112yes—
569C23×C59H(5,𝔽2)12yes—
570C23×C592−1+412yes—
571C23×C59C2511yescharacteristic
572C22×D59—28no—
573C22×D59—28no—
574C22×D59—28no—
575C22×D59—28no—
576C22×D59—28no—
577C22×D59—21no—
578C22×D59—21no—
579C22×D59—21no—
580C22×D59—21no—
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—21no—
585C22×D59—28no—
586C22×D59—28no—
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59C2×#4112yes—
602C22×D59C2×#4112yes—
603C22×D59C2×#4112yes—
604C22×D59C2×#4112yes—
605C22×D59H(5,𝔽2)12yes—
606C22×D59H(5,𝔽2)12yes—
607C2×C4×C59—21no—
608C2×C4×C59—21no—
609C2×C4×C59—21no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
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—44no—
648C2×C4×C59—44no—
649C2×C4×C59—44no—
650C2×C4×C59C2×#4112yes—
651C2×C4×C59C2×#4112yes—
652C22⋊D59—44no—
653C22⋊D59—44no—
654C2×Dic59—21no—
655C2×Dic59—21no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—21no—
659C2×Dic59—21no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
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—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—44no—
689C2×Dic59—44no—
690C2×Dic59—44no—
691C2×Dic59C2×#4112yes—
692C2×Dic59C2×#4112yes—
693D236—44no—
694D236—44no—
695D236—44no—
696D236—44no—
697D236—82no—
698C4×D59—44no—
699C4×D59—44no—
700C4×D59—44no—
701C4×D59—44no—
702C4×D59—44no—
703C4×D59—44no—
704C4×D59—44no—
705C4×D59—44no—
706C4×D59—44no—
707C4×D59—44no—
708C4×D59—44no—
709C4×D59—44no—
710C4×D59—82no—
711C4×D59—82no—
712Dic118—82no—
713#34997—591nomaximal, Sylow
714C22×C59—22no—
715C22×C59—22no—
716C22×C59—22no—
717C22×C59—22no—
718C22×C59—22no—
719C22×C59—22no—
720C22×C59#53914yes—
721C22×C59C22×#4111yescharacteristic
722C22×C59C22×#4111yescharacteristic
723C22×C59C22×#4111yescharacteristic
724C22×C59C2×H(5,𝔽2)11yescharacteristic
725C22×C59C2×H(5,𝔽2)11yescharacteristic
726C22×C59C2×H(5,𝔽2)11yescharacteristic
727C22×C59C2×2−1+411yescharacteristic
728C2×D59—232no—
729C2×D59—22no—
730C2×D59—22no—
731C2×D59—22no—
732C2×D59—22no—
733C2×D59—22no—
734C2×D59—22no—
735C2×D59—22no—
736C2×D59—22no—
737C2×D59—22no—
738C2×D59—22no—
739C2×D59—22no—
740C2×D59—22no—
741C2×D59—41no—
742C2×D59—41no—
743C2×D59—41no—
744C2×D59—41no—
745C2×D59—41no—
746C2×D59—41no—
747C2×D59—41no—
748C2×D59—41no—
749C2×D59—41no—
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—41no—
755C2×D59#52914yes—
756C2×D59#53814yes—
757C4×C59—22no—
758C4×C59—22no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768C4×C59—41no—
769C4×C59—41no—
770C4×C59—41no—
771Dic59—22no—
772Dic59—22no—
773Dic59—41no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780Dic59—41no—
781Dic59—41no—
782Dic59—41no—
783#2849—591no—
784#2849—591no—
785#2848—591no—
786#2847—591no—
787#2646—591no—
788#2643—591no—
789#2643—591no—
790#2639—591no—
791#2510—591no—
792#2510—591no—
793#2505—591no—
794#2505D5911yescharacteristic, complemented
795#2493—591no—
796#2493—591no—
797#2488—591no—
798#2488—591no—
799#2450—591no—
800#2450—591no—
801#2444—591no—
802#2444—591no—
803#2425—591no—
804#2425—591no—
805#2419—591no—
806#2419—591no—
807#2329—591no—
808#2325—591no—
809#2318—591no—
810#2318—591no—
811C4×#120—591no—
812C4×#120—591no—
813C22×#95—591no—
814C2×C59—24no—
815C2×C59C2×#52911yescharacteristic
816C2×C59C2×#53811yescharacteristic
817C2×C59C2×#53911yescharacteristic
818C2×C59#349011yescharacteristic
819C2×C59#349011yescharacteristic
820C2×C59#349211yescharacteristic
821C2×C59#349211yescharacteristic
822D59—24no—
823D59—24no—
824D59—81no—
825D59—81no—
826C24×C4—591no—
827C24×C4—591no—
828C24×C4—591no—
829C2×#123—591no—
830C2×#123—591no—
831C2×#123—591no—
832C2×#123—591no—
833C2×C22⋊Q8—591no—
834C2×C22⋊Q8—591no—
835C2×C22⋊Q8—591no—
836C2×#121—591no—
837C2×#121—591no—
838C2×#121—591no—
839C2×#120—591no—
840C2×#120—591no—
841C2×C4×D4—591no—
842C2×C4×D4—591no—
843C2×C4×D4—591no—
844C2×C4×D4—591no—
845C2×C4×D4—591no—
846C2×C4×D4—591no—
847#401—591no—
848#401—591no—
849#400—591no—
850#400—591no—
851#400—591no—
852#400—591no—
853#400—591no—
854#400—591no—
855#400—591no—
856#400—591no—
857#400—591no—
858#400C2×D5911yescharacteristic, complemented
859#400C2×D5911yescharacteristic, complemented
860#400C2×D5911yescharacteristic, complemented
861#398—591no—
862#398—591no—
863#398—591no—
864#398C2×D5911yescharacteristic, complemented
865#397—591no—
866#397—591no—
867#397—591no—
868#397—591no—
869#397—591no—
870#397—591no—
871#397—591no—
872#397—591no—
873#396—591no—
874#396—591no—
875#394—591no—
876#394—591no—
877#393—591no—
878#393—591no—
879#391—591no—
880#391—591no—
881#389—591no—
882#389C2×D5911yescharacteristic, complemented
883#388—591no—
884#388—591no—
885#388—591no—
886#388—591no—
887#388—591no—
888#388—591no—
889#387—591no—
890#387—591no—
891#387—591no—
892#387—591no—
893#387—591no—
894#387—591no—
895#387—591no—
896#387—591no—
897#387C2×D5911yescharacteristic, complemented
898#387C2×D5911yescharacteristic, complemented
899#386—591no—
900#386—591no—
901#386—591no—
902#386—591no—
903#386—591no—
904#386—591no—
905#386—591no—
906#386—591no—
907#386—591no—
908#386—591no—
909#386—591no—
910#386—591no—
911#386—591no—
912#386—591no—
913#386—591no—
914#386—591no—
915#386—591no—
916#386—591no—
917#386—591no—
918#386—591no—
919#386—591no—
920#386—591no—
921#385—591no—
922#385—591no—
923#385—591no—
924#385—591no—
925#385—591no—
926#385—591no—
927#385—591no—
928#385—591no—
929#385—591no—
930#385—591no—
931#385—591no—
932#385—591no—
933#385—591no—
934#385—591no—
935#385—591no—
936#385—591no—
937#385—591no—
938#385—591no—
939#385C2×D5911yescharacteristic
940#385C2×D5911yescharacteristic
941#385C2×D5911yescharacteristic
942#385C2×D5911yescharacteristic
943#383—591no—
944#383—591no—
945#382—591no—
946#382C2×D5911yescharacteristic, complemented
947#381—591no—
948#381—591no—
949#381—591no—
950#381—591no—
951#381—591no—
952#381—591no—
953#380—591no—
954#380—591no—
955#380—591no—
956#380—591no—
957#380—591no—
958#380—591no—
959#380—591no—
960#380C2×D5911yescharacteristic
961#379—591no—
962#379—591no—
963C4×C22⋊C4—591no—
964C4×C22⋊C4—591no—
965C4×C22⋊C4—591no—
966C4×C22⋊C4—591no—
967C4×C22⋊C4—591no—
968C4×C22⋊C4C2×D5911yescharacteristic
969C2×#95—591no—
970C2×#95—591no—
971C2×#95—591no—
972C2×#95—591no—
973C2×#95—591no—
974C2×#95—591no—
975C2×#95—591no—
976C2×#95—591no—
977C2×#95—591no—
978C2×#95—591no—
979C2×#95—591no—
980C2×#95C2×D5911yescharacteristic
981C59#3499711yescharacteristic, complemented, Sylow
982C25—591no—
983C22×Q8—591no—
984C22×D4—591no—
985C22×D4—591no—
986C22×D4—591no—
987C22×D4—591no—
988C22×D4—591no—
989C22×D4—591no—
990C22×D4—591no—
991C23×C4—591no—
992C23×C4—591no—
993C23×C4—591no—
994C23×C4—591no—
995C23×C4—591no—
996C23×C4—591no—
997C23×C4—591no—
998C23×C4—591no—
999C23×C4—591no—
1000C23×C4—591no—
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4—591no—
1007C23×C4—591no—
1008C23×C4—1184no—
1009C23×C4—1184no—
1010C23×C4—1184no—
1011C23×C4—2362no—
1012C23×C4—2362no—
1013C23×C4—2362no—
1014C23×C4—2362no—
1015C23×C4—2362no—
1016C23×C4—2362no—
1017C23×C4C22×D5911yescharacteristic
1018C23×C4C22×D5911yescharacteristic
1019C23×C4C22×D5911yescharacteristic
1020#123—2362no—
1021#123—2362no—
1022#123—2362no—
1023#123—2362no—
1024C22⋊Q8—1184no—
1025C22⋊Q8—2362no—
1026C22⋊Q8—2362no—
1027#121—1184no—
1028#121—2362no—
1029#121—2362no—
1030#120—1184no—
1031#120—1184no—
1032C4×D4—1184no—
1033C4×D4—1184no—
1034C4×D4—2362no—
1035C4×D4—2362no—
1036C4×D4—2362no—
1037C4×D4—2362no—
1038C2×C4⋊C4—591no—
1039C2×C4⋊C4—591no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—591no—
1043C2×C4⋊C4—591no—
1044C2×C4⋊C4—591no—
1045C2×C4⋊C4—591no—
1046C2×C4⋊C4—591no—
1047C2×C4⋊C4—591no—
1048C2×C4⋊C4—591no—
1049C2×C4⋊C4—591no—
1050C2×C4⋊C4—591no—
1051C2×C4⋊C4—591no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4C22×D5911yescharacteristic
1055C2×C4⋊C4C22×D5911yescharacteristic
1056C2×C4⋊C4C22×D5911yescharacteristic
1057C2×C4⋊C4C22×D5911yescharacteristic
1058C2×C4⋊C4C22×D5911yescharacteristic
1059C2×C4⋊C4C22×D5911yescharacteristic
1060C2×C4⋊C4C22×D5911yescharacteristic
1061C2×C4⋊C4C22×D5911yescharacteristic
1062C2×C4⋊C4C22×D5911yescharacteristic
1063C2×C4⋊C4C22×D5911yescharacteristic
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
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⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C42—591no—
1103C2×C42—591no—
1104C2×C42—591no—
1105C2×C42—591no—
1106C2×C42C22×D5911yescharacteristic
1107C2×C42C22×D5911yescharacteristic
1108#95—591no—
1109#95—591no—
1110#95—591no—
1111#95—591no—
1112#95—591no—
1113#95—591no—
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95—591no—
1125#95—591no—
1126#95—591no—
1127#95—591no—
1128#95—591no—
1129#95—591no—
1130#95—591no—
1131#95—591no—
1132#95—591no—
1133#95—591no—
1134#95—591no—
1135#95—591no—
1136#95—591no—
1137#95—591no—
1138#95—591no—
1139#95—591no—
1140#95—591no—
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95C22×D5911yescharacteristic
1149#95C22×D5911yescharacteristic
1150#95C22×D5911yescharacteristic
1151#95C22×D5911yescharacteristic
1152#95C22×D5911yescharacteristic
1153#95C22×D5911yescharacteristic
1154#95C22×D5911yescharacteristic
1155#95C22×D5911yescharacteristic
1156#95C22×D5911yescharacteristic
1157#95C22×D5911yescharacteristic
1158#95C22×D5911yescharacteristic
1159#95C22×D5911yescharacteristic
1160#95C22×D5911yescharacteristic
1161#95C22×D5911yescharacteristic
1162#95C22×D5911yescharacteristic
1163#95C22×D5911yescharacteristic
1164C24—591no—
1165C24—591no—
1166C24—594no—
1167C24—591no—
1168C24—591no—
1169C24—1182no—
1170C24—1182no—
1171C24—1182no—
1172C24—1182no—
1173C24—1182no—
1174C24—1182no—
1175C24C23×D5911yescharacteristic
1176C2×Q8—1182no—
1177C2×Q8—2361no—
1178C2×Q8—2361no—
1179C2×D4—1182no—
1180C2×D4—1182no—
1181C2×D4—1182no—
1182C2×D4—1182no—
1183C2×D4—1182no—
1184C2×D4—1182no—
1185C2×D4—1182no—
1186C2×D4—1182no—
1187C2×D4—1182no—
1188C2×D4—1182no—
1189C2×D4—1182no—
1190C2×D4—1182no—
1191C2×D4—1182no—
1192C2×D4—1182no—
1193C2×D4—1182no—
1194C2×D4—1182no—
1195C2×D4—1182no—
1196C2×D4—1182no—
1197C2×D4—1182no—
1198C2×D4—2361no—
1199C2×D4—2361no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—591no—
1210C22×C4—591no—
1211C22×C4—594no—
1212C22×C4—594no—
1213C22×C4—591no—
1214C22×C4—591no—
1215C22×C4—591no—
1216C22×C4—591no—
1217C22×C4—591no—
1218C22×C4—591no—
1219C22×C4—591no—
1220C22×C4—591no—
1221C22×C4—591no—
1222C22×C4—591no—
1223C22×C4—1182no—
1224C22×C4—1182no—
1225C22×C4—1182no—
1226C22×C4—1182no—
1227C22×C4—1182no—
1228C22×C4—1182no—
1229C22×C4—1182no—
1230C22×C4—1182no—
1231C22×C4—1182no—
1232C22×C4—1182no—
1233C22×C4—1182no—
1234C22×C4—1182no—
1235C22×C4—1182no—
1236C22×C4—1182no—
1237C22×C4—1182no—
1238C22×C4—1182no—
1239C22×C4—1182no—
1240C22×C4—1182no—
1241C22×C4—1182no—
1242C22×C4—1182no—
1243C22×C4—1182no—
1244C22×C4—1182no—
1245C22×C4—1182no—
1246C22×C4—1182no—
1247C22×C4—1182no—
1248C22×C4—2361no—
1249C22×C4—2361no—
1250C22×C4—2361no—
1251C22×C4—2361no—
1252C22×C4—2361no—
1253C22×C4—2361no—
1254C22×C4—2361no—
1255C22×C4—2361no—
1256C22×C4—2361no—
1257C22×C4—2361no—
1258C22×C4—2361no—
1259C22×C4—2361no—
1260C22×C4—2361no—
1261C22×C4—2361no—
1262C22×C4—2361no—
1263C22×C4—2361no—
1264C22×C4—2361no—
1265C22×C4—2361no—
1266C22×C4—2361no—
1267C22×C4—2361no—
1268C22×C4—23616no—
1269C22×C4—23616no—
1270C22×C4—23616no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4C23×D5911yescharacteristic
1276C22×C4C23×D5911yescharacteristic
1277C22×C4C23×D5911yescharacteristic
1278C22×C4C23×D5911yescharacteristic
1279C22×C4C23×D5911yescharacteristic
1280C22×C4C23×D5911yescharacteristic
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C22×C4C23×D5911yescharacteristic
1285C22×C4C23×D5911yescharacteristic
1286C22×C4C23×D5911yescharacteristic
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—1182no—
1300C4⋊C4—1182no—
1301C4⋊C4—1182no—
1302C4⋊C4—2361no—
1303C4⋊C4—2361no—
1304C4⋊C4—2361no—
1305C4⋊C4—2361no—
1306C4⋊C4—2361no—
1307C4⋊C4—2361no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C4⋊C4—2361no—
1313C4⋊C4—2361no—
1314C4⋊C4—2361no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—1182no—
1320C22⋊C4—1182no—
1321C22⋊C4—1182no—
1322C22⋊C4—1182no—
1323C22⋊C4—1182no—
1324C22⋊C4—1182no—
1325C22⋊C4—1182no—
1326C22⋊C4—1182no—
1327C22⋊C4—1182no—
1328C22⋊C4—1182no—
1329C22⋊C4—1182no—
1330C22⋊C4—1182no—
1331C22⋊C4—1182no—
1332C22⋊C4—1182no—
1333C22⋊C4—1182no—
1334C22⋊C4—1182no—
1335C22⋊C4—1182no—
1336C22⋊C4—1182no—
1337C22⋊C4—2361no—
1338C22⋊C4—2361no—
1339C22⋊C4—2361no—
1340C22⋊C4—2361no—
1341C22⋊C4—2361no—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C22⋊C4—2361no—
1345C22⋊C4—2361no—
1346C22⋊C4—2361no—
1347C22⋊C4—2361no—
1348C22⋊C4—2361no—
1349C22⋊C4—2361no—
1350C22⋊C4—2361no—
1351C22⋊C4—2361no—
1352C22⋊C4—2361no—
1353C42—22no—
1354C42—41no—
1355C42—1182no—
1356C42—2361no—
1357C42—2361no—
1358C42—2361no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—592no—
1364C23—592no—
1365C23—592no—
1366C23—592no—
1367C23—592no—
1368C23—592no—
1369C23—1188no—
1370C23—1188no—
1371C23—1188no—
1372C23—1188no—
1373C23—1188no—
1374C23—1188no—
1375C23—1181no—
1376C23—1181no—
1377C23—1181no—
1378C23—1181no—
1379C23—1181no—
1380C23—1181no—
1381C23—1181no—
1382C23—1181no—
1383C23—1188no—
1384C23—1181no—
1385C23—1181no—
1386C23—1181no—
1387C23—1181no—
1388C23—1181no—
1389C23—1181no—
1390C23—1181no—
1391C23—1181no—
1392C23—1181no—
1393C23—1181no—
1394C23—1181no—
1395C23—1181no—
1396C23—1181no—
1397C23—1181no—
1398C23#41×D5912yes—
1399C23#1427377312yes—
1400C23#1427377512yes—
1401C23C24×D5911yescharacteristic
1402Q8—4722no—
1403D4—4722no—
1404D4—2364no—
1405D4—2364no—
1406D4—2364no—
1407D4—2364no—
1408D4—2364no—
1409D4—2364no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—44no—
1453C2×C4—592no—
1454C2×C4—592no—
1455C2×C4—1181no—
1456C2×C4—1181no—
1457C2×C4—1181no—
1458C2×C4—1181no—
1459C2×C4—1181no—
1460C2×C4—1181no—
1461C2×C4—1181no—
1462C2×C4—1181no—
1463C2×C4—1181no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
1468C2×C4—1181no—
1469C2×C4—1181no—
1470C2×C4—1181no—
1471C2×C4—1181no—
1472C2×C4—1181no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—4722no—
1490C2×C4—4722no—
1491C2×C4—2364no—
1492C2×C4—2364no—
1493C2×C4—2364no—
1494C2×C4—2364no—
1495C2×C4—2364no—
1496C2×C4—2364no—
1497C2×C4—2364no—
1498C2×C4—2364no—
1499C2×C4—2364no—
1500C2×C4—2364no—
1501C2×C4—2364no—
1502C2×C4—2364no—
1503C2×C4—2364no—
1504C2×C4—2364no—
1505C2×C4—2364no—
1506C2×C4#41×D5912yes—
1507C2×C4#41×D5912yes—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—594no—
1515C22—594no—
1516C22—11832no—
1517C22—1182no—
1518C22—1182no—
1519C22—1182no—
1520C22—1182no—
1521C22—1182no—
1522C22—1182no—
1523C22—1182no—
1524C22—1182no—
1525C22—1182no—
1526C22—1182no—
1527C22—1182no—
1528C22—1182no—
1529C22—2361no—
1530C22—2361no—
1531C22—2361no—
1532C22—2361no—
1533C22—2361no—
1534C22—2361no—
1535C22—2361no—
1536C22—2361no—
1537C22—2361no—
1538C22—2361no—
1539C22—2361no—
1540C22—2361no—
1541C22—2361no—
1542C22—2361no—
1543C22#1683800014yes—
1544C22C2×#41×D5911yescharacteristic
1545C22C2×#41×D5911yescharacteristic
1546C22C2×#41×D5911yescharacteristic
1547C22H(5,𝔽2)×D5911yescharacteristic
1548C22H(5,𝔽2)×D5911yescharacteristic
1549C22C2×#1427377311yescharacteristic
1550C22C2×#1427377511yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—1182no—
1566C4—1182no—
1567C4—2361no—
1568C4—2361no—
1569C4—2361no—
1570C4—2361no—
1571C4—2361no—
1572C4—2361no—
1573C4—2361no—
1574C4—2361no—
1575C4—2361no—
1576C4—2361no—
1577C2—24no—
1578C2—1184no—
1579C2—1184no—
1580C2—4721no—
1581C2—4721no—
1582C2#529×D5911yescharacteristic
1583C2#538×D5911yescharacteristic
1584C2C2×#1683800011yescharacteristic
1585C2#2143778011yescharacteristic
1586C2#2143778011yescharacteristic
1587C2#2143780411yescharacteristic
1588C2#2143780411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2505C2
prime radical#21432379C2
hypercenter#2505D59
hypocenterC59#34997
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2505

Complements

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

NH ≅ G/Ntype
1. #21432391C2semidirect
2. #21432391C2semidirect
3. #21432382C2semidirect
5. #21430065C2semidirect
6. #21430050C2semidirect
7. #21430050C2semidirect
8. #21430028C2semidirect
9. #21428662C2semidirect
10. #21428650C2semidirect
11. #21428593C2semidirect
12. #21428482C2semidirect
13. #21428480C2semidirect
14. #21428419C2semidirect
15. #21428417C2semidirect
16. #21427922C2semidirect
17. #21427918C2semidirect
18. #21427850C2semidirect
19. #21427846C2semidirect
20. #21427654C2semidirect
21. #21427640C2semidirect
22. #21427578C2semidirect
23. #21427576C2semidirect
24. #21426830C2semidirect
25. #21426795C2semidirect
26. #21426732C2semidirect
27. #21426728C2semidirect
28. C4×#14273697C2semidirect
29. #21426597C2semidirect
30. C2×#95×D59C2semidirect
31. C59×#2505C2semidirect
53. C59⋊#401C22semidirect
54. C59⋊#401C22semidirect
55. #16837344C22semidirect
56. #16837344C22semidirect
57. #16837343C22semidirect
58. #16837343C22semidirect
59. #16837343C22semidirect
60. #16837342C22semidirect
61. #16837342C22semidirect
62. #16837340C22semidirect
63. #16837340C22semidirect
64. #16837335C22semidirect
65. #16837333C22semidirect
66. #16837332C22semidirect
67. #16837331C22semidirect
68. #16837331C22semidirect
69. #16837331C22semidirect
70. #16837331C22semidirect
71. #16837331C22semidirect
72. #16837331C22semidirect
73. #16837328C22semidirect
74. #16837328C22semidirect
75. #16837324C22semidirect
76. #16837324C22semidirect
77. #16837320C22semidirect
78. #16837319C22semidirect
79. #16837315C22semidirect
80. #16837315C22semidirect
81. #16837307C22semidirect
82. #16837306C22semidirect
83. #16837297C22semidirect
84. #16837293C22semidirect
85. #16837293C22semidirect
86. #16837292C22semidirect
87. #16837292C22semidirect
88. #16837291C22semidirect
89. #16837291C22semidirect
90. #16837289C22semidirect
91. #16837288C22semidirect
92. #16837288C22semidirect
93. #16837288C22semidirect
94. #16837287C22semidirect
95. #16837287C22semidirect
96. #16837286C22semidirect
97. #16837283C22semidirect
113. #16837280C22semidirect
114. #16837280C22semidirect
125. #16837276C22semidirect
137. #16837273C22semidirect
138. #16837270C22semidirect
139. #16837269C22semidirect
140. #16837266C22semidirect
145. #16837264C22semidirect
146. #16837264C22semidirect
149. #16837261C22semidirect
153. #16837259C22semidirect
172. C59×#400C22semidirect
173. C59×#400C22semidirect
174. C59×#400C22semidirect
175. C59×#398C22semidirect
176. C59×#389C22semidirect
177. C59×#387C22semidirect
178. C59×#387C22semidirect
183. C59×#382C22semidirect
794. #2505D59semidirect
858. #400C2×D59semidirect
859. #400C2×D59semidirect
860. #400C2×D59semidirect
864. #398C2×D59semidirect
882. #389C2×D59semidirect
897. #387C2×D59semidirect
898. #387C2×D59semidirect
946. #382C2×D59semidirect
981. C59#34997semidirect

Maximal subgroups

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

subgroupindex
#214323912
#214323822
#214323792
#214300652
#214300502
#214300282
#214286622
#214286502
#214285932
#214284822
#214284802
#214284192
#214284172
#214279222
#214279182
#214278502
#214278462
#214276542
#214276402
#214275782
#214275762
#214268302
#214267952
#214267322
#214267282
C4×#142736972
#214265972
C2×#95×D592
C59×#25052
#3499759