Finite Group Databasebeta

← #28761471

Subgroups — #28761471

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#21432385C211yesmaximal, characteristic, complemented
2#21432385C211yesmaximal, characteristic, complemented
3#21432382C211yesmaximal, characteristic, complemented
4#21432375C211yesmaximal, characteristic
5#21430065C211yesmaximal, characteristic, complemented
6#21430053C211yesmaximal, characteristic, complemented
7#21430048C211yesmaximal, characteristic, complemented
8#21430027C211yesmaximal, characteristic, complemented
9#21428659C211yesmaximal, characteristic, complemented
10#21428655C211yesmaximal, characteristic, complemented
11#21428602C211yesmaximal, characteristic, complemented
12#21428598C211yesmaximal, characteristic, complemented
13#21428481C211yesmaximal, characteristic, complemented
14#21428479C211yesmaximal, characteristic, complemented
15#21428426C211yesmaximal, characteristic, complemented
16#21428424C211yesmaximal, characteristic, complemented
17#21427927C211yesmaximal, characteristic, complemented
18#21427915C211yesmaximal, characteristic, complemented
19#21427843C211yesmaximal, characteristic, complemented
20#21427839C211yesmaximal, characteristic, complemented
21#21427653C211yesmaximal, characteristic, complemented
22#21427569C211yesmaximal, characteristic, complemented
23#21427567C211yesmaximal, characteristic, complemented
24#21426830C211yesmaximal, characteristic, complemented
25#21426798C211yesmaximal, characteristic, complemented
26#21426731C211yesmaximal, characteristic, complemented
27#21426726C211yesmaximal, characteristic, complemented
28#21426601C211yesmaximal, characteristic, complemented
29C4×#14273695C211yesmaximal, characteristic, complemented
30C2×#95×D59C211yesmaximal, characteristic, complemented
31C59×#2425C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35C2×#14273708C2211yescharacteristic
36C2×#14273708C2211yescharacteristic
37C2×#14273705C2211yescharacteristic
38C2×#14273705C2211yescharacteristic
39C2×#14273704C2211yescharacteristic
40C2×#14273698C2211yescharacteristic
41C2×#14273698C2211yescharacteristic
42C2×#14273695C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×D4×Dic59C2211yescharacteristic
45C2×C4×C22⋊D59C2211yescharacteristic
46C2×C4×C22⋊D59C2211yescharacteristic
47C2×(C22⋊D59)⋊C4C2211yescharacteristic
48C2×(C22⋊D59)⋊C4C2211yescharacteristic
49C59⋊#401C2211yescharacteristic, complemented
50C59⋊#401C2211yescharacteristic, complemented
51#16837344C2211yescharacteristic, complemented
52#16837344C2211yescharacteristic, complemented
53#16837344C2211yescharacteristic, complemented
54#16837343C2211yescharacteristic, complemented
55#16837343C2211yescharacteristic, complemented
56#16837342C2211yescharacteristic, complemented
57#16837341C2211yescharacteristic, complemented
58#16837341C2211yescharacteristic, complemented
59#16837340C2211yescharacteristic, complemented
60#16837340C2211yescharacteristic, complemented
61#16837340C2211yescharacteristic, complemented
62#16837340C2211yescharacteristic, complemented
63#16837335C2211yescharacteristic, complemented
64#16837333C2211yescharacteristic, complemented
65#16837332C2211yescharacteristic, complemented
66#16837330C2211yescharacteristic, complemented
67#16837330C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837330C2211yescharacteristic, complemented
70#16837330C2211yescharacteristic, complemented
71#16837330C2211yescharacteristic, complemented
72#16837327C2211yescharacteristic, complemented
73#16837325C2211yescharacteristic, complemented
74#16837316C2211yescharacteristic, complemented
75#16837314C2211yescharacteristic, complemented
76#16837314C2211yescharacteristic, complemented
77#16837307C2211yescharacteristic, complemented
78#16837306C2211yescharacteristic, complemented
79#16837297C2211yescharacteristic, complemented
80#16837296C2211yescharacteristic, complemented
81#16837296C2211yescharacteristic, complemented
82#16837296C2211yescharacteristic, complemented
83#16837295C2211yescharacteristic, complemented
84#16837290C2211yescharacteristic, complemented
85#16837289C2211yescharacteristic, complemented
86#16837288C2211yescharacteristic, complemented
87#16837287C2211yescharacteristic, complemented
88#16837286C2211yescharacteristic, complemented
89#16837286C2211yescharacteristic, complemented
90#16837285C2211yescharacteristic, complemented
91#16837284C2211yescharacteristic, complemented
92#16837283C2211yescharacteristic, complemented
93#16837283C2211yescharacteristic, complemented
94#16837283C2211yescharacteristic, complemented
95#16837282C2211yescharacteristic
96#16837282C2211yescharacteristic
97#16837282C2211yescharacteristic
98#16837282C2211yescharacteristic, complemented
99#16837278C2211yescharacteristic
100#16837278C2211yescharacteristic
101#16837278C2211yescharacteristic
102#16837278C2211yescharacteristic
103#16837278C2211yescharacteristic
104#16837278C2211yescharacteristic
105#16837278C2211yescharacteristic
106#16837278C2211yescharacteristic
107#16837278C2211yescharacteristic
108#16837278C2211yescharacteristic
109#16837278C2211yescharacteristic
110#16837278C2211yescharacteristic
111#16837278C2211yescharacteristic
112#16837278C2211yescharacteristic
113#16837278C2211yescharacteristic
114#16837278C2211yescharacteristic
115#16837276C2211yescharacteristic
116#16837276C2211yescharacteristic
117#16837276C2211yescharacteristic
118#16837276C2211yescharacteristic
119#16837275C2211yescharacteristic
120#16837275C2211yescharacteristic
121#16837275C2211yescharacteristic, complemented
122#16837274C2211yescharacteristic
123#16837274C2211yescharacteristic, complemented
124#16837273C2211yescharacteristic
125#16837273C2211yescharacteristic
126#16837273C2211yescharacteristic
127#16837273C2211yescharacteristic
128#16837273C2211yescharacteristic
129#16837273C2211yescharacteristic
130#16837273C2211yescharacteristic
131#16837273C2211yescharacteristic
132#16837273C2211yescharacteristic
133#16837273C2211yescharacteristic
134#16837273C2211yescharacteristic
135#16837273C2211yescharacteristic
136#16837269C2211yescharacteristic, complemented
137#16837269C2211yescharacteristic, complemented
138#16837267C2211yescharacteristic, complemented
139#16837266C2211yescharacteristic, complemented
140#16837265C2211yescharacteristic
141#16837265C2211yescharacteristic
142#16837265C2211yescharacteristic, complemented
143#16837263C2211yescharacteristic
144#16837263C2211yescharacteristic
145#16837263C2211yescharacteristic, complemented
146#16837262C2211yescharacteristic
147#16837261C2211yescharacteristic
148#16837261C2211yescharacteristic
149#16837260C2211yescharacteristic
150#16837260C2211yescharacteristic, complemented
151#16837259C2211yescharacteristic
152#16837259C2211yescharacteristic
153#16837257C2211yescharacteristic
154#16837257C2211yescharacteristic
155C22⋊C4×Dic59C2211yescharacteristic
156C4×(C2×D59)⋊C4C2211yescharacteristic
157C4×(C2×D59)⋊C4C2211yescharacteristic
158C4×C22⋊Dic59C2211yescharacteristic
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
172C2×#123×C59C2211yescharacteristic
173C2×#123×C59C2211yescharacteristic
174C2×#121×C59C2211yescharacteristic
175C2×C4×D4×C59C2211yescharacteristic
176C59×#398C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic, complemented
178C59×#396C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic, complemented
180C59×#389C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic, complemented
184C59×#385C2211yescharacteristic
185C59×#380C2211yescharacteristic, complemented
186C2×#95×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×C22⋊D59C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C23×Dic59C2311yescharacteristic
194C23×Dic59C2311yescharacteristic
195C23×Dic59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C22×C4×D59—24no—
198C22×C4×D59—24no—
199C22×C4×D59—24no—
200C22×C4×D59—42no—
201C22×C4×D59—42no—
202C22×C4×D59—42no—
203C22×C4×D59—42no—
204C22×C4×D59—42no—
205C22×C4×D59—42no—
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
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
218#14273708—42no—
219#14273708—42no—
220#14273705—24no—
221#14273705—42no—
222#14273704—42no—
223#14273698—24no—
224#14273698—42no—
225#14273695—24no—
226#14273695—24no—
227D4×Dic59—42no—
228C4×C22⋊D59—24no—
229C4×C22⋊D59—42no—
230(C22⋊D59)⋊C4—24no—
231(C22⋊D59)⋊C4—42no—
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
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)⋊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×C4×Dic59C2311yescharacteristic
278C2×C4×Dic59C2311yescharacteristic
279C2×C4×Dic59C2311yescharacteristic
280C2×C4×Dic59C2311yescharacteristic
281C2×C4×Dic59C2311yescharacteristic
282C59⋊#95C2311yescharacteristic
283C59⋊#95C2311yescharacteristic
284C59⋊#95C2311yescharacteristic
285C59⋊#95C2311yescharacteristic
286C59⋊#95C2311yescharacteristic
287C59⋊#95C2311yescharacteristic
288C59⋊#95C2311yescharacteristic
289C59⋊#95C2311yescharacteristic
290C59⋊#95C2311yescharacteristic
291C59⋊#95C2311yescharacteristic
292C59⋊#95C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
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
330C22×D4×C59C2311yescharacteristic
331C22×D4×C59C2311yescharacteristic
332C22×D4×C59C2311yescharacteristic
333C23×C4×C59C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337#123×C59—42no—
338#123×C59—42no—
339#121×C59—42no—
340C4×D4×C59—42no—
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×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C42×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
370C24×C59C2411yescharacteristic
371C24×C59C2411yescharacteristic
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—22no—
376C23×D59—22no—
377C23×D59—22no—
378C23×D59#4114yes—
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C2×D4×C59—22no—
382C2×D4×C59—22no—
383C2×D4×C59—22no—
384C2×D4×C59—22no—
385C2×D4×C59—22no—
386C2×D4×C59—22no—
387C2×D4×C59—22no—
388C2×D4×C59—41no—
389C2×D4×C59—41no—
390C22×C4×C59—22no—
391C22×C4×C59—22no—
392C22×C4×C59—22no—
393C22×C4×C59—22no—
394C22×C4×C59—22no—
395C22×C4×C59—22no—
396C22×C4×C59—22no—
397C22×C4×C59—22no—
398C22×C4×C59—41no—
399C22×C4×C59—41no—
400C22×C4×C59—41no—
401C22×C4×C59—41no—
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—22no—
419C2×C22⋊D59—22no—
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—22no—
423C2×C22⋊D59—22no—
424C2×C22⋊D59—22no—
425C2×C22⋊D59—22no—
426C22×Dic59—22no—
427C22×Dic59—22no—
428C22×Dic59—22no—
429C22×Dic59—22no—
430C22×Dic59—22no—
431C22×Dic59—22no—
432C22×Dic59—22no—
433C22×Dic59—22no—
434C22×Dic59—41no—
435C22×Dic59—41no—
436C22×Dic59—41no—
437C22×Dic59—41no—
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
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—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—416no—
487C2×C4×D59—416no—
488C2×C4×D59—416no—
489C2×C4×D59#4114yes—
490C2×C4×D59#4114yes—
491C2×Dic118—22no—
492C2×Dic118—41no—
493C2×Dic118—41no—
494C4⋊C4×C59—22no—
495C4⋊C4×C59—41no—
496C4⋊C4×C59—41no—
497C4⋊C4×C59—41no—
498C4⋊C4×C59—41no—
499C4⋊C4×C59—41no—
500C4⋊C4×C59—41no—
501C4⋊C4×C59—41no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C42×C59—41no—
514C22⋊Dic59—22no—
515C22⋊Dic59—22no—
516C22⋊Dic59—22no—
517C22⋊Dic59—22no—
518C22⋊Dic59—22no—
519C22⋊Dic59—22no—
520C22⋊Dic59—22no—
521C22⋊Dic59—41no—
522C22⋊Dic59—41no—
523C22⋊Dic59—41no—
524C22⋊Dic59—41no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
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—
541C4⋊Dic59—22no—
542C4⋊Dic59—41no—
543C4⋊Dic59—41no—
544C4⋊Dic59—41no—
545Dic59⋊C4—22no—
546Dic59⋊C4—22no—
547Dic59⋊C4—22no—
548Dic59⋊C4—22no—
549Dic59⋊C4—41no—
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—
559C4×Dic59—22no—
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×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59C2×#4112yes—
583C23×C59H(5,𝔽2)12yes—
584C23×C59H(5,𝔽2)12yes—
585C23×C59C2511yescharacteristic
586C22×D59—28no—
587C22×D59—28no—
588C22×D59—28no—
589C22×D59—28no—
590C22×D59—28no—
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—28no—
600C22×D59—28no—
601C22×D59C2×#4112yes—
602C22×D59C2×#4112yes—
603C22×D59C2×#4112yes—
604C22×D59C2×#4112yes—
605C22×D59H(5,𝔽2)12yes—
606C22×D592−1+412yes—
607D4×C59—44no—
608D4×C59—44no—
609D4×C59—82no—
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—44no—
645C2×C4×C59—44no—
646C2×C4×C59—44no—
647C2×C4×C59—82no—
648C2×C4×C59C2×#4112yes—
649C2×C4×C59C2×#4112yes—
650C22⋊D59—44no—
651C22⋊D59—44no—
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—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—44no—
695C2×Dic59—44no—
696C2×Dic59—44no—
697C2×Dic59—82no—
698C2×Dic59C2×#4112yes—
699C2×Dic59C2×#4112yes—
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—44no—
711C4×D59—44no—
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—41no—
721C22×C59—41no—
722C22×C59—41no—
723C22×C59—41no—
724C22×C59—41no—
725C22×C59—41no—
726C22×C59—41no—
727C22×C59—41no—
728C22×C59—41no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59#53814yes—
735C22×C59C22×#4111yescharacteristic
736C22×C59C22×#4111yescharacteristic
737C22×C59C22×#4111yescharacteristic
738C22×C59C2×H(5,𝔽2)11yescharacteristic
739C22×C59C2×H(5,𝔽2)11yescharacteristic
740C22×C59C2×H(5,𝔽2)11yescharacteristic
741C22×C59C2×2−1+411yescharacteristic
742C2×D59—232no—
743C2×D59—22no—
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#52914yes—
756C2×D59#53914yes—
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—
769Dic59—22no—
770Dic59—22no—
771Dic59—41no—
772Dic59—41no—
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#2505—591no—
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#2425D5911yescharacteristic, complemented
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×C59—81no—
816C2×C59—81no—
817C2×C59C2×#52911yescharacteristic
818C2×C59C2×#53811yescharacteristic
819C2×C59C2×#53911yescharacteristic
820C2×C59#349011yescharacteristic
821C2×C59#349011yescharacteristic
822C2×C59#349211yescharacteristic
823C2×C59#349211yescharacteristic
824D59—24no—
825D59—24no—
826C24×C4—591no—
827C24×C4—591no—
828C24×C4—591no—
829C2×#123—591no—
830C2×#123—591no—
831C2×#123C2×D5911yescharacteristic
832C2×#123C2×D5911yescharacteristic
833C2×C22⋊Q8—591no—
834C2×C22⋊Q8—591no—
835C2×C22⋊Q8—591no—
836C2×#121—591no—
837C2×#121—591no—
838C2×#121C2×D5911yescharacteristic
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×D4C2×D5911yescharacteristic
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#400—591no—
859#400—591no—
860#400—591no—
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#397C2×D5911yescharacteristic, complemented
873#396—591no—
874#396C2×D5911yescharacteristic, complemented
875#394—591no—
876#394C2×D5911yescharacteristic, complemented
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#388C2×D5911yescharacteristic, complemented
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#387—591no—
898#387—591no—
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#386C2×D5911yescharacteristic
920#386C2×D5911yescharacteristic, complemented
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#385—591no—
940#385—591no—
941#385—591no—
942#385C2×D5911yescharacteristic
943#383—591no—
944#383—591no—
945#382—591no—
946#382—591no—
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, complemented
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⋊C4—591no—
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×D4C22×D5911yescharacteristic
989C22×D4C22×D5911yescharacteristic
990C22×D4C22×D5911yescharacteristic
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—1184no—
1008C23×C4—1184no—
1009C23×C4—1184no—
1010C23×C4—2362no—
1011C23×C4—2362no—
1012C23×C4—2362no—
1013C23×C4—2362no—
1014C23×C4—2362no—
1015C23×C4—2362no—
1016C23×C4C22×D5911yescharacteristic
1017C23×C4C22×D5911yescharacteristic
1018C23×C4C22×D5911yescharacteristic
1019C23×C4C22×D5911yescharacteristic
1020#123—42no—
1021#123—42no—
1022#123—2362no—
1023#123—2362no—
1024C22⋊Q8—1184no—
1025C22⋊Q8—2362no—
1026C22⋊Q8—2362no—
1027#121—42no—
1028#121—1184no—
1029#121—2362no—
1030#120—1184no—
1031#120—1184no—
1032C4×D4—42no—
1033C4×D4—1184no—
1034C4×D4—1184no—
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⋊C4—591no—
1055C2×C4⋊C4—591no—
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⋊C4C22×D5911yescharacteristic
1092C2×C22⋊C4C22×D5911yescharacteristic
1093C2×C22⋊C4C22×D5911yescharacteristic
1094C2×C22⋊C4C22×D5911yescharacteristic
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4C22×D5911yescharacteristic
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×C42—591no—
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#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
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—1182no—
1168C24—1182no—
1169C24—1182no—
1170C24—1182no—
1171C24—1182no—
1172C24—1182no—
1173C24C23×D5911yescharacteristic
1174C24C23×D5911yescharacteristic
1175C24C23×D5911yescharacteristic
1176C2×Q8—1182no—
1177C2×Q8—2361no—
1178C2×Q8—2361no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—41no—
1187C2×D4—41no—
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—1182no—
1199C2×D4—1182no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—591no—
1213C22×C4—591no—
1214C22×C4—594no—
1215C22×C4—594no—
1216C22×C4—591no—
1217C22×C4—591no—
1218C22×C4—591no—
1219C22×C4—591no—
1220C22×C4—591no—
1221C22×C4—591no—
1222C22×C4—591no—
1223C22×C4—591no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
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—1182no—
1249C22×C4—1182no—
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—2361no—
1269C22×C4—2361no—
1270C22×C4—23616no—
1271C22×C4—23616no—
1272C22×C4—23616no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4—2361no—
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—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—1182no—
1298C4⋊C4—1182no—
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—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
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—1182no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—1182no—
1344C22⋊C4—1182no—
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—41no—
1354C42—1182no—
1355C42—1182no—
1356C42—2361no—
1357C42—2361no—
1358C42—2361no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—592no—
1378C23—592no—
1379C23—592no—
1380C23—592no—
1381C23—592no—
1382C23—592no—
1383C23—1188no—
1384C23—1188no—
1385C23—1188no—
1386C23—1188no—
1387C23—1188no—
1388C23—1188no—
1389C23—1181no—
1390C23—1181no—
1391C23—1181no—
1392C23—1181no—
1393C23—1181no—
1394C23—1181no—
1395C23—1181no—
1396C23—1181no—
1397C23—1188no—
1398C23#41×D5912yes—
1399C23#1427377212yes—
1400C23#1427377212yes—
1401C23C24×D5911yescharacteristic
1402Q8—4722no—
1403D4—44no—
1404D4—44no—
1405D4—82no—
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—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—82no—
1448C2×C4—592no—
1449C2×C4—592no—
1450C2×C4—1181no—
1451C2×C4—1181no—
1452C2×C4—1181no—
1453C2×C4—1181no—
1454C2×C4—1181no—
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—1181no—
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—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—594no—
1529C22—594no—
1530C22—11832no—
1531C22—1182no—
1532C22—1182no—
1533C22—1182no—
1534C22—1182no—
1535C22—1182no—
1536C22—1182no—
1537C22—1182no—
1538C22—1182no—
1539C22—1182no—
1540C22—1182no—
1541C22—1182no—
1542C22—1182no—
1543C22#1683798414yes—
1544C22C2×#41×D5911yescharacteristic
1545C22C2×#41×D5911yescharacteristic
1546C22C2×#41×D5911yescharacteristic
1547C22H(5,𝔽2)×D5911yescharacteristic
1548C22C2×#1427377211yescharacteristic
1549C22C2×#1427377211yescharacteristic
1550C222−1+4×D5911yescharacteristic
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—1182no—
1564C4—1182no—
1565C4—2361no—
1566C4—2361no—
1567C4—2361no—
1568C4—2361no—
1569C4—2361no—
1570C4—2361no—
1571C4—2361no—
1572C4—2361no—
1573C4—2361no—
1574C4—2361no—
1575C4—2361no—
1576C4—2361no—
1577C2—24no—
1578C2—81no—
1579C2—81no—
1580C2—1184no—
1581C2—1184no—
1582C2#529×D5911yescharacteristic
1583C2C2×#1683798411yescharacteristic
1584C2#539×D5911yescharacteristic
1585C2#2143777811yescharacteristic
1586C2#2143777811yescharacteristic
1587C2#2143779811yescharacteristic
1588C2#2143779811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2425C2
prime radical#21432375C2
hypercenter#2425D59
hypocenterC59#34997
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. #21432385C2semidirect
2. #21432385C2semidirect
3. #21432382C2semidirect
5. #21430065C2semidirect
6. #21430053C2semidirect
7. #21430048C2semidirect
8. #21430027C2semidirect
9. #21428659C2semidirect
10. #21428655C2semidirect
11. #21428602C2semidirect
12. #21428598C2semidirect
13. #21428481C2semidirect
14. #21428479C2semidirect
15. #21428426C2semidirect
16. #21428424C2semidirect
17. #21427927C2semidirect
18. #21427915C2semidirect
19. #21427843C2semidirect
20. #21427839C2semidirect
21. #21427653C2semidirect
22. #21427569C2semidirect
23. #21427567C2semidirect
24. #21426830C2semidirect
25. #21426798C2semidirect
26. #21426731C2semidirect
27. #21426726C2semidirect
28. #21426601C2semidirect
29. C4×#14273695C2semidirect
30. C2×#95×D59C2semidirect
31. C59×#2425C2semidirect
49. C59⋊#401C22semidirect
50. C59⋊#401C22semidirect
51. #16837344C22semidirect
52. #16837344C22semidirect
53. #16837344C22semidirect
54. #16837343C22semidirect
55. #16837343C22semidirect
56. #16837342C22semidirect
57. #16837341C22semidirect
58. #16837341C22semidirect
59. #16837340C22semidirect
60. #16837340C22semidirect
61. #16837340C22semidirect
62. #16837340C22semidirect
63. #16837335C22semidirect
64. #16837333C22semidirect
65. #16837332C22semidirect
66. #16837330C22semidirect
67. #16837330C22semidirect
68. #16837330C22semidirect
69. #16837330C22semidirect
70. #16837330C22semidirect
71. #16837330C22semidirect
72. #16837327C22semidirect
73. #16837325C22semidirect
74. #16837316C22semidirect
75. #16837314C22semidirect
76. #16837314C22semidirect
77. #16837307C22semidirect
78. #16837306C22semidirect
79. #16837297C22semidirect
80. #16837296C22semidirect
81. #16837296C22semidirect
82. #16837296C22semidirect
83. #16837295C22semidirect
84. #16837290C22semidirect
85. #16837289C22semidirect
86. #16837288C22semidirect
87. #16837287C22semidirect
88. #16837286C22semidirect
89. #16837286C22semidirect
90. #16837285C22semidirect
91. #16837284C22semidirect
92. #16837283C22semidirect
93. #16837283C22semidirect
94. #16837283C22semidirect
98. #16837282C22semidirect
121. #16837275C22semidirect
123. #16837274C22semidirect
136. #16837269C22semidirect
137. #16837269C22semidirect
138. #16837267C22semidirect
139. #16837266C22semidirect
142. #16837265C22semidirect
145. #16837263C22semidirect
150. #16837260C22semidirect
176. C59×#398C22semidirect
177. C59×#397C22semidirect
178. C59×#396C22semidirect
179. C59×#394C22semidirect
180. C59×#389C22semidirect
181. C59×#388C22semidirect
183. C59×#386C22semidirect
185. C59×#380C22semidirect
804. #2425D59semidirect
864. #398C2×D59semidirect
872. #397C2×D59semidirect
874. #396C2×D59semidirect
876. #394C2×D59semidirect
882. #389C2×D59semidirect
888. #388C2×D59semidirect
920. #386C2×D59semidirect
960. #380C2×D59semidirect
981. C59#34997semidirect

Maximal subgroups

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

subgroupindex
#214323852
#214323822
#214323752
#214300652
#214300532
#214300482
#214300272
#214286592
#214286552
#214286022
#214285982
#214284812
#214284792
#214284262
#214284242
#214279272
#214279152
#214278432
#214278392
#214276532
#214275692
#214275672
#214268302
#214267982
#214267312
#214267262
#214266012
C4×#142736952
C2×#95×D592
C59×#24252
#3499759