Finite Group Databasebeta

← #29451743

Subgroups — #29451743

Order 15104.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21430488C211yesmaximal, characteristic, complemented
2#21430485C211yesmaximal, characteristic, complemented
3#21430473C211yesmaximal, characteristic, complemented
4#21430308C211yesmaximal, characteristic
5#21429722C211yesmaximal, characteristic, complemented
6#21429719C211yesmaximal, characteristic, complemented
7#21429680C211yesmaximal, characteristic, complemented
8#21429678C211yesmaximal, characteristic, complemented
9#21429622C211yesmaximal, characteristic, complemented
10#21429617C211yesmaximal, characteristic, complemented
11#21429552C211yesmaximal, characteristic, complemented
12#21429545C211yesmaximal, characteristic, complemented
13#21429443C211yesmaximal, characteristic, complemented
14#21429225C211yesmaximal, characteristic, complemented
15#21429221C211yesmaximal, characteristic, complemented
16#21429065C211yesmaximal, characteristic, complemented
17#21428152C211yesmaximal, characteristic, complemented
18#21428141C211yesmaximal, characteristic, complemented
19#21428138C211yesmaximal, characteristic, complemented
20#21428129C211yesmaximal, characteristic, complemented
21#21428039C211yesmaximal, characteristic, complemented
22#21428027C211yesmaximal, characteristic, complemented
23#21427212C211yesmaximal, characteristic, complemented
24#21427211C211yesmaximal, characteristic, complemented
25#21427204C211yesmaximal, characteristic, complemented
26#21427158C211yesmaximal, characteristic, complemented
27#21427112C211yesmaximal, characteristic, complemented
28#21426597C211yesmaximal, characteristic, complemented
29C4×#14273695C211yesmaximal, characteristic, complemented
30C4×#14273695C211yesmaximal, characteristic, complemented
31C59×#2361C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C2×#14273723C2211yescharacteristic
34C2×#14273722C2211yescharacteristic, complemented
35C2×#14273721C2211yescharacteristic
36C2×#14273720C2211yescharacteristic
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273713C2211yescharacteristic
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273701C2211yescharacteristic
41C2×#14273697C2211yescharacteristic
42C2×#14273695C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×#14273689C2211yescharacteristic
45C2×#14273689C2211yescharacteristic
46C2×C4×C22⋊D59C2211yescharacteristic
47C2×C4×C22⋊D59C2211yescharacteristic
48C2×C4×C22⋊D59C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50C2×C4×C22⋊D59C2211yescharacteristic, complemented
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52#16837344C2211yescharacteristic, complemented
53#16837341C2211yescharacteristic, complemented
54#16837339C2211yescharacteristic
55#16837338C2211yescharacteristic
56#16837335C2211yescharacteristic, complemented
57#16837335C2211yescharacteristic, complemented
58#16837331C2211yescharacteristic
59#16837331C2211yescharacteristic
60#16837331C2211yescharacteristic, complemented
61#16837330C2211yescharacteristic, complemented
62#16837324C2211yescharacteristic
63#16837324C2211yescharacteristic
64#16837320C2211yescharacteristic
65#16837320C2211yescharacteristic
66#16837319C2211yescharacteristic
67#16837318C2211yescharacteristic
68#16837318C2211yescharacteristic
69#16837318C2211yescharacteristic
70#16837318C2211yescharacteristic
71#16837317C2211yescharacteristic
72#16837317C2211yescharacteristic
73#16837317C2211yescharacteristic
74#16837317C2211yescharacteristic, complemented
75#16837316C2211yescharacteristic
76#16837316C2211yescharacteristic
77#16837316C2211yescharacteristic, complemented
78#16837315C2211yescharacteristic
79#16837314C2211yescharacteristic
80#16837311C2211yescharacteristic
81#16837310C2211yescharacteristic
82#16837310C2211yescharacteristic
83#16837310C2211yescharacteristic
84#16837308C2211yescharacteristic, complemented
85#16837306C2211yescharacteristic, complemented
86#16837306C2211yescharacteristic, complemented
87#16837305C2211yescharacteristic, complemented
88#16837304C2211yescharacteristic
89#16837303C2211yescharacteristic
90#16837302C2211yescharacteristic
91#16837302C2211yescharacteristic, complemented
92#16837302C2211yescharacteristic, complemented
93#16837299C2211yescharacteristic, complemented
94#16837298C2211yescharacteristic, complemented
95#16837297C2211yescharacteristic, complemented
96#16837296C2211yescharacteristic
97#16837296C2211yescharacteristic, complemented
98#16837295C2211yescharacteristic
99#16837295C2211yescharacteristic, complemented
100#16837295C2211yescharacteristic, complemented
101#16837294C2211yescharacteristic
102#16837293C2211yescharacteristic
103#16837293C2211yescharacteristic
104#16837293C2211yescharacteristic, complemented
105#16837293C2211yescharacteristic, complemented
106#16837293C2211yescharacteristic, complemented
107#16837292C2211yescharacteristic
108#16837292C2211yescharacteristic
109#16837292C2211yescharacteristic, complemented
110#16837291C2211yescharacteristic
111#16837290C2211yescharacteristic
112#16837290C2211yescharacteristic, complemented
113#16837290C2211yescharacteristic, complemented
114#16837289C2211yescharacteristic, complemented
115#16837288C2211yescharacteristic, complemented
116#16837287C2211yescharacteristic, complemented
117#16837286C2211yescharacteristic, complemented
118#16837286C2211yescharacteristic, complemented
119#16837285C2211yescharacteristic, complemented
120#16837284C2211yescharacteristic, complemented
121#16837283C2211yescharacteristic, complemented
122#16837283C2211yescharacteristic, complemented
123#16837283C2211yescharacteristic, complemented
124#16837282C2211yescharacteristic
125#16837282C2211yescharacteristic
126#16837281C2211yescharacteristic
127#16837281C2211yescharacteristic
128#16837281C2211yescharacteristic
129#16837281C2211yescharacteristic
130#16837281C2211yescharacteristic, complemented
131#16837281C2211yescharacteristic, complemented
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837278C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic, complemented
139#16837275C2211yescharacteristic, complemented
140#16837275C2211yescharacteristic, complemented
141#16837274C2211yescharacteristic
142#16837274C2211yescharacteristic
143#16837273C2211yescharacteristic
144#16837273C2211yescharacteristic
145#16837273C2211yescharacteristic
146#16837273C2211yescharacteristic
147#16837273C2211yescharacteristic
148#16837273C2211yescharacteristic
149#16837273C2211yescharacteristic, complemented
150#16837265C2211yescharacteristic, complemented
151#16837264C2211yescharacteristic, complemented
152#16837262C2211yescharacteristic, complemented
153#16837257C2211yescharacteristic
154#16837257C2211yescharacteristic
155#16837257C2211yescharacteristic
156C4⋊C4×Dic59C2211yescharacteristic, complemented
157C4⋊C4×Dic59C2211yescharacteristic, complemented
158C4×Dic59⋊C4C2211yescharacteristic, complemented
159#16837253C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic
161C4×(C2×D59)⋊C4C2211yescharacteristic
162C4×(C2×D59)⋊C4C2211yescharacteristic
163C4×(C2×D59)⋊C4C2211yescharacteristic
164C4×(C2×D59)⋊C4C2211yescharacteristic
165C4×C22⋊Dic59C2211yescharacteristic
166C4×C22⋊Dic59C2211yescharacteristic
167C4×C22⋊Dic59C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic
170#16837248C2211yescharacteristic, complemented
171#16837247C2211yescharacteristic, complemented
172C2×#121×C59C2211yescharacteristic
173C2×C4×D4×C59C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic
175C2×C4×D4×C59C2211yescharacteristic, complemented
176C22×C4⋊C4×C59C2211yescharacteristic, complemented
177C59×#390C2211yescharacteristic
178C59×#389C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic
180C59×#388C2211yescharacteristic, complemented
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic, complemented
183C59×#385C2211yescharacteristic
184C59×#385C2211yescharacteristic, complemented
185C4×C4⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C22×C4×D59—42no—
200C22×C4×D59—42no—
201C22×C4×D59—42no—
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207#14273723—24no—
208#14273722—42no—
209#14273721—24no—
210#14273720—24no—
211#14273720—42no—
212#14273713—24no—
213#14273713—42no—
214#14273701—24no—
215#14273697—24no—
216#14273695—24no—
217#14273695—24no—
218#14273689—42no—
219#14273689—42no—
220C4×C22⋊D59—42no—
221C4×C22⋊D59—42no—
222C4×C22⋊D59—42no—
223C4×C22⋊D59—42no—
224C4×C22⋊D59—42no—
225(C22⋊D59)⋊C4—42no—
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×C4⋊Dic59C2311yescharacteristic
230C2×C4⋊Dic59C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
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×(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×C4×Dic59C2311yescharacteristic
287C2×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
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
329C22×D4×C59C2311yescharacteristic
330C22×D4×C59C2311yescharacteristic
331C22×D4×C59C2311yescharacteristic
332C23×C4×C59C2311yescharacteristic
333C23×C4×C59C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337#121×C59—24no—
338C4×D4×C59—42no—
339C4×D4×C59—42no—
340C4×D4×C59—42no—
341C2×C4⋊C4×C59—42no—
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×C42×C59C2311yescharacteristic
360C2×C42×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362C2×C42×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—41no—
376C23×D59—41no—
377C23×D59—41no—
378C23×D59—41no—
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
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—
390C2×D4×C59—41no—
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—41no—
398C22×C4×C59—41no—
399C22×C4×C59—41no—
400C22×C4×C59—41no—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59—41no—
405C22×C4×C59—41no—
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
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—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—41no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59#4114yes—
439C22×Dic59—22no—
440C22×Dic59—41no—
441C22×Dic59—41no—
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C2×D236—22no—
456C2×D236—22no—
457C2×D236—22no—
458C2×D236—22no—
459C2×D236—41no—
460C2×D236—41no—
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—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—416no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×Dic118—22no—
478C2×Dic118—41no—
479C2×Dic118—41no—
480C4⋊C4×C59—22no—
481C4⋊C4×C59—22no—
482C4⋊C4×C59—22no—
483C4⋊C4×C59—22no—
484C4⋊C4×C59—22no—
485C4⋊C4×C59—41no—
486C4⋊C4×C59—41no—
487C22⋊C4×C59—22no—
488C22⋊C4×C59—22no—
489C22⋊C4×C59—22no—
490C22⋊C4×C59—22no—
491C22⋊C4×C59—41no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C22⋊C4×C59—41no—
495C22⋊C4×C59—41no—
496C22⋊C4×C59#4114yes—
497C42×C59—22no—
498C42×C59—41no—
499C42×C59—41no—
500C42×C59—41no—
501C22⋊Dic59—22no—
502C22⋊Dic59—22no—
503C22⋊Dic59—22no—
504C22⋊Dic59—22no—
505C22⋊Dic59—22no—
506C22⋊Dic59—22no—
507C22⋊Dic59—22no—
508C22⋊Dic59—41no—
509C22⋊Dic59—41no—
510C22⋊Dic59—41no—
511C22⋊Dic59—41no—
512C22⋊Dic59—41no—
513C22⋊Dic59—41no—
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—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#4114yes—
543C4⋊Dic59—22no—
544C4⋊Dic59—22no—
545C4⋊Dic59—41no—
546C4⋊Dic59—41no—
547C4⋊Dic59—41no—
548Dic59⋊C4—22no—
549Dic59⋊C4—22no—
550Dic59⋊C4—22no—
551Dic59⋊C4—22no—
552Dic59⋊C4—22no—
553Dic59⋊C4—22no—
554Dic59⋊C4—22no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559Dic59⋊C4—41no—
560Dic59⋊C4—41no—
561C4×Dic59—22no—
562C4×Dic59—22no—
563C4×Dic59—22no—
564C4×Dic59—22no—
565C4×Dic59—22no—
566C4×Dic59—22no—
567C4×Dic59—41no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
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×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59C2×#4112yes—
592C23×C59C2×#4112yes—
593C23×C59C2511yescharacteristic
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
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—44no—
614C22×D59—44no—
615C22×D59—44no—
616C22×D59—44no—
617C22×D59—44no—
618C22×D59—44no—
619C22×D59—44no—
620C22×D59C2×#4112yes—
621C22×D59C2×#4112yes—
622D4×C59—44no—
623D4×C59—44no—
624D4×C59—44no—
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—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—44no—
657C2×C4×C59—44no—
658C2×C4×C59—82no—
659C2×C4×C59—82no—
660C2×C4×C59—82no—
661C2×C4×C59C2×#4112yes—
662C2×C4×C59C2×#4112yes—
663C2×C4×C59C2×#4112yes—
664C2×C4×C59H(5,𝔽2)12yes—
665C2×C4×C59H(5,𝔽2)12yes—
666C22⋊D59—44no—
667C22⋊D59—44no—
668C22⋊D59—44no—
669C22⋊D59—44no—
670C22⋊D59—44no—
671C22⋊D59—44no—
672C22⋊D59—82no—
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—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—44no—
710C2×Dic59C2×#4112yes—
711C2×Dic59C2×#4112yes—
712C2×Dic59H(5,𝔽2)12yes—
713D236—44no—
714D236—44no—
715C4×D59—44no—
716C4×D59—44no—
717C4×D59—44no—
718C4×D59—44no—
719C4×D59—82no—
720Dic118—82no—
721#60031—591nomaximal, Sylow
722C22×C59—22no—
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—41no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59C22×#4111yescharacteristic
744C22×C59C22×#4111yescharacteristic
745C22×C59C22×#4111yescharacteristic
746C22×C59C2×H(5,𝔽2)11yescharacteristic
747C22×C59C2×H(5,𝔽2)11yescharacteristic
748C22×C59C2×H(5,𝔽2)11yescharacteristic
749C22×C59#58511yescharacteristic
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—
772C4×C59—22no—
773C4×C59—22no—
774C4×C59—22no—
775C4×C59—22no—
776C4×C59—22no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784Dic59—22no—
785Dic59—22no—
786Dic59—22no—
787Dic59—41no—
788Dic59—41no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797#2685—591no—
798#2685—591no—
799#2684—591no—
800#2669—591no—
801#2603—591no—
802#2603—591no—
803#2600—591no—
804#2600—591no—
805#2595—591no—
806#2595—591no—
807#2589—591no—
808#2589—591no—
809#2579—591no—
810#2559—591no—
811#2559—591no—
812#2544—591no—
813#2467—591no—
814#2467—591no—
815#2466—591no—
816#2466—591no—
817#2459—591no—
818#2459—591no—
819#2373—591no—
820#2373—591no—
821#2372—591no—
822#2366—591no—
823#2361—591no—
824#2361D5911yescharacteristic, complemented
825C4×#120—591no—
826C4×#120—591no—
827C4×#120—591no—
828C2×C59—42no—
829C2×C59—42no—
830C2×C59—81no—
831C2×C59#348111yescharacteristic
832C2×C59#348111yescharacteristic
833C2×C59#348111yescharacteristic
834C2×C59#350511yescharacteristic
835C2×C59#350611yescharacteristic
836C2×C59#350611yescharacteristic
837C2×C59#353211yescharacteristic
838D59—42no—
839D59—42no—
840D59—81no—
841C24×C4—591no—
842C2×#127—591no—
843C2×#126—591no—
844C2×#126—591no—
845C2×#126—591no—
846C2×#126—591no—
847C2×#124—591no—
848C2×#124—591no—
849C2×#121—591no—
850C2×#121C2×D5911yescharacteristic
851C2×#120—591no—
852C2×#120—591no—
853C2×#120—591no—
854C2×C4×D4—591no—
855C2×C4×D4—591no—
856C2×C4×D4—591no—
857C2×C4×D4—591no—
858C2×C4×D4—591no—
859C2×C4×D4—591no—
860C2×C4×D4—591no—
861C2×C4×D4—591no—
862C2×C4×D4C2×D5911yescharacteristic
863C2×C4×D4C2×D5911yescharacteristic
864C2×C4×D4C2×D5911yescharacteristic, complemented
865C22×C4⋊C4C2×D5911yescharacteristic, complemented
866#400—591no—
867#400—591no—
868#399—591no—
869#399—591no—
870#398—591no—
871#398—591no—
872#397—591no—
873#397—591no—
874#397—591no—
875#397—591no—
876#396—591no—
877#396—591no—
878#394—591no—
879#394—591no—
880#394—591no—
881#394—591no—
882#394—591no—
883#394—591no—
884#394—591no—
885#394—591no—
886#394—591no—
887#394—591no—
888#394—591no—
889#394—591no—
890#394—591no—
891#394—591no—
892#393—591no—
893#393—591no—
894#392—591no—
895#392—591no—
896#392—591no—
897#392—591no—
898#391—591no—
899#391—591no—
900#391—591no—
901#390—591no—
902#390—591no—
903#390—591no—
904#390—591no—
905#390—591no—
906#390—591no—
907#390C2×D5911yescharacteristic
908#389—591no—
909#389—591no—
910#389—591no—
911#389C2×D5911yescharacteristic, complemented
912#388—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388C2×D5911yescharacteristic
931#388C2×D5911yescharacteristic, complemented
932#387—591no—
933#387—591no—
934#387—591no—
935#387—591no—
936#387—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#387—591no—
942#386—591no—
943#386—591no—
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386C2×D5911yescharacteristic
958#386C2×D5911yescharacteristic, complemented
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#385—591no—
970#385C2×D5911yescharacteristic
971#385C2×D5911yescharacteristic, complemented
972#381—591no—
973#381—591no—
974#380—591no—
975#379—591no—
976#379—591no—
977#379—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⋊C4C2×D5911yescharacteristic, complemented
994#376—591no—
995#376—591no—
996C59#6003111yescharacteristic, complemented, Sylow
997C25—591no—
998C22×Q8—591no—
999C22×D4—591no—
1000C22×D4—591no—
1001C22×D4—591no—
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4—591no—
1005C22×D4—591no—
1006C22×D4—591no—
1007C22×D4—591no—
1008C22×D4C22×D5911yescharacteristic
1009C22×D4C22×D5911yescharacteristic
1010C22×D4C22×D5911yescharacteristic
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—2362no—
1018C23×C4—2362no—
1019C23×C4—2362no—
1020C23×C4C22×D5911yescharacteristic
1021C23×C4C22×D5911yescharacteristic
1022C23×C4C22×D5911yescharacteristic
1023C23×C4C22×D5911yescharacteristic
1024C23×C4C22×D5911yescharacteristic
1025#127—1184no—
1026#126—1184no—
1027#126—1184no—
1028#126—2362no—
1029#126—2362no—
1030#124—1184no—
1031#124—2362no—
1032#121—24no—
1033#121—1184no—
1034#120—1184no—
1035#120—1184no—
1036#120—1184no—
1037C4×D4—42no—
1038C4×D4—42no—
1039C4×D4—42no—
1040C4×D4—2362no—
1041C4×D4—2362no—
1042C4×D4—2362no—
1043C4×D4—2362no—
1044C4×D4—2362no—
1045C4×D4—2362no—
1046C4×D4—2362no—
1047C4×D4—2362no—
1048C2×C4⋊C4—42no—
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⋊C4—591no—
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⋊C4C22×D5911yescharacteristic
1068C2×C4⋊C4C22×D5911yescharacteristic
1069C2×C4⋊C4C22×D5911yescharacteristic
1070C2×C4⋊C4C22×D5911yescharacteristic
1071C2×C4⋊C4C22×D5911yescharacteristic
1072C2×C4⋊C4C22×D5911yescharacteristic
1073C2×C4⋊C4C22×D5911yescharacteristic
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⋊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⋊C4C22×D5911yescharacteristic
1117C2×C22⋊C4C22×D5911yescharacteristic
1118C2×C22⋊C4C22×D5911yescharacteristic
1119C2×C22⋊C4C22×D5911yescharacteristic
1120C2×C22⋊C4C22×D5911yescharacteristic
1121C2×C22⋊C4C22×D5911yescharacteristic
1122C2×C22⋊C4C22×D5911yescharacteristic
1123C2×C22⋊C4C22×D5911yescharacteristic
1124C2×C22⋊C4C22×D5911yescharacteristic
1125C2×C22⋊C4C22×D5911yescharacteristic
1126C2×C42—591no—
1127C2×C42—591no—
1128C2×C42—591no—
1129C2×C42—591no—
1130C2×C42—591no—
1131C2×C42—591no—
1132C2×C42—591no—
1133C2×C42—591no—
1134C2×C42—591no—
1135C2×C42—591no—
1136C2×C42—591no—
1137C2×C42C22×D5911yescharacteristic
1138C2×C42C22×D5911yescharacteristic
1139C2×C42C22×D5911yescharacteristic
1140C2×C42C22×D5911yescharacteristic
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#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
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#95C22×D5911yescharacteristic
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179C24—591no—
1180C24—591no—
1181C24—591no—
1182C24—1182no—
1183C24—1182no—
1184C24—1182no—
1185C24—2361no—
1186C24—2361no—
1187C24—2361no—
1188C24—2361no—
1189C24C23×D5911yescharacteristic
1190C24C23×D5911yescharacteristic
1191C24C23×D5911yescharacteristic
1192C2×Q8—1182no—
1193C2×Q8—2361no—
1194C2×Q8—2361no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—594no—
1205C2×D4—1182no—
1206C2×D4—1182no—
1207C2×D4—1182no—
1208C2×D4—1182no—
1209C2×D4—1182no—
1210C2×D4—1182no—
1211C2×D4—1182no—
1212C2×D4—1182no—
1213C2×D4—1182no—
1214C2×D4—1182no—
1215C2×D4—1182no—
1216C2×D4—1182no—
1217C2×D4—1182no—
1218C2×D4—2361no—
1219C2×D4—2361no—
1220C2×D4—2361no—
1221C2×D4—2361no—
1222C2×D4—2361no—
1223C2×D4—2361no—
1224C2×D4—2361no—
1225C2×D4—2361no—
1226C2×D4—2361no—
1227C2×D4—2361no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—591no—
1247C22×C4—591no—
1248C22×C4—591no—
1249C22×C4—591no—
1250C22×C4—591no—
1251C22×C4—591no—
1252C22×C4—591no—
1253C22×C4—591no—
1254C22×C4—591no—
1255C22×C4—591no—
1256C22×C4—591no—
1257C22×C4—591no—
1258C22×C4—591no—
1259C22×C4—1182no—
1260C22×C4—1182no—
1261C22×C4—1182no—
1262C22×C4—1182no—
1263C22×C4—1182no—
1264C22×C4—1182no—
1265C22×C4—1182no—
1266C22×C4—1182no—
1267C22×C4—2361no—
1268C22×C4—2361no—
1269C22×C4—2361no—
1270C22×C4—2361no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4—23616no—
1276C22×C4—2361no—
1277C22×C4—2361no—
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
1289C22×C4C23×D5911yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—1182no—
1298C4⋊C4—1182no—
1299C4⋊C4—1182no—
1300C4⋊C4—1182no—
1301C4⋊C4—1182no—
1302C4⋊C4—1182no—
1303C4⋊C4—1182no—
1304C4⋊C4—1182no—
1305C4⋊C4—1182no—
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—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—594no—
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—1182no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—1182no—
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—
1353C22⋊C4—2361no—
1354C22⋊C4—2361no—
1355C22⋊C4—2361no—
1356C22⋊C4—2361no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4—2361no—
1360C22⋊C4—2361no—
1361C22⋊C4—2361no—
1362C22⋊C4—2361no—
1363C22⋊C4—2361no—
1364C22⋊C4—2361no—
1365C22⋊C4—2361no—
1366C22⋊C4#1174568514yes—
1367C42—22no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—1182no—
1372C42—1182no—
1373C42—1182no—
1374C42—1182no—
1375C42—1182no—
1376C42—1182no—
1377C42—2361no—
1378C42—2361no—
1379C42—2361no—
1380C42—2361no—
1381C42—2361no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—592no—
1402C23—592no—
1403C23—1181no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
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—2364no—
1423C23—2364no—
1424C23—2364no—
1425C23—2364no—
1426C23—2364no—
1427C23—2364no—
1428C23—2364no—
1429C23#41×D5912yes—
1430C23C2×#1174568512yes—
1431C23C24×D5911yescharacteristic
1432Q8—4722no—
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—4722no—
1437D4—2364no—
1438D4—2364no—
1439D4—2364no—
1440D4—2364no—
1441D4—2364no—
1442D4—2364no—
1443D4—2364no—
1444D4—2364no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
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—44no—
1477C2×C4—44no—
1478C2×C4—82no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4—592no—
1482C2×C4—592no—
1483C2×C4—592no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—4722no—
1521C2×C4—2364no—
1522C2×C4—2364no—
1523C2×C4—2364no—
1524C2×C4—2364no—
1525C2×C4—2364no—
1526C2×C4#41×D5912yes—
1527C2×C4C2×#1174568512yes—
1528C2×C4C2×#1174568512yes—
1529C2×C4#1427377212yes—
1530C2×C4#1427377212yes—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—1182no—
1553C22—1182no—
1554C22—1182no—
1555C22—1182no—
1556C22—1182no—
1557C22—1182no—
1558C22—23616no—
1559C22—2361no—
1560C22—2361no—
1561C22—2361no—
1562C22—2361no—
1563C22—2361no—
1564C22—2361no—
1565C22—2361no—
1566C22—2361no—
1567C22—2361no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22C2×#41×D5911yescharacteristic
1575C22C2×#41×D5911yescharacteristic
1576C22C22×#1174568511yescharacteristic
1577C22H(5,𝔽2)×D5911yescharacteristic
1578C22C2×#1427377211yescharacteristic
1579C22C2×#1427377211yescharacteristic
1580C22#1683823911yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—1182no—
1594C4—1182no—
1595C4—1182no—
1596C4—2361no—
1597C4—2361no—
1598C4—2361no—
1599C4—2361no—
1600C4—2361no—
1601C4—2361no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C2—42no—
1607C2—42no—
1608C2—81no—
1609C2—4721no—
1610C2—2362no—
1611C2—2362no—
1612C2#2143770011yescharacteristic
1613C2#2143770011yescharacteristic
1614C2#2143770311yescharacteristic
1615C2#2143793211yescharacteristic
1616C2#2143794111yescharacteristic
1617C2#2143794611yescharacteristic
1618C2#2143824611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2361C2
prime radical#21430308C2
hypercenter#2361D59
hypocenterC59#60031
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
1. #21430488C2semidirect
2. #21430485C2semidirect
3. #21430473C2semidirect
5. #21429722C2semidirect
6. #21429719C2semidirect
7. #21429680C2semidirect
8. #21429678C2semidirect
9. #21429622C2semidirect
10. #21429617C2semidirect
11. #21429552C2semidirect
12. #21429545C2semidirect
13. #21429443C2semidirect
14. #21429225C2semidirect
15. #21429221C2semidirect
16. #21429065C2semidirect
17. #21428152C2semidirect
18. #21428141C2semidirect
19. #21428138C2semidirect
20. #21428129C2semidirect
21. #21428039C2semidirect
22. #21428027C2semidirect
23. #21427212C2semidirect
24. #21427211C2semidirect
25. #21427204C2semidirect
26. #21427158C2semidirect
27. #21427112C2semidirect
28. #21426597C2semidirect
29. C4×#14273695C2semidirect
30. C4×#14273695C2semidirect
31. C59×#2361C2semidirect
34. C2×#14273722C22semidirect
37. C2×#14273720C22semidirect
39. C2×#14273713C22semidirect
50. C2×C4×C22⋊D59C22semidirect
52. #16837344C22semidirect
53. #16837341C22semidirect
56. #16837335C22semidirect
57. #16837335C22semidirect
60. #16837331C22semidirect
61. #16837330C22semidirect
74. #16837317C22semidirect
77. #16837316C22semidirect
84. #16837308C22semidirect
85. #16837306C22semidirect
86. #16837306C22semidirect
87. #16837305C22semidirect
91. #16837302C22semidirect
92. #16837302C22semidirect
93. #16837299C22semidirect
94. #16837298C22semidirect
95. #16837297C22semidirect
97. #16837296C22semidirect
99. #16837295C22semidirect
100. #16837295C22semidirect
104. #16837293C22semidirect
105. #16837293C22semidirect
106. #16837293C22semidirect
109. #16837292C22semidirect
112. #16837290C22semidirect
113. #16837290C22semidirect
114. #16837289C22semidirect
115. #16837288C22semidirect
116. #16837287C22semidirect
117. #16837286C22semidirect
118. #16837286C22semidirect
119. #16837285C22semidirect
120. #16837284C22semidirect
121. #16837283C22semidirect
122. #16837283C22semidirect
123. #16837283C22semidirect
130. #16837281C22semidirect
131. #16837281C22semidirect
138. #16837278C22semidirect
139. #16837275C22semidirect
140. #16837275C22semidirect
149. #16837273C22semidirect
150. #16837265C22semidirect
151. #16837264C22semidirect
152. #16837262C22semidirect
156. C4⋊C4×Dic59C22semidirect
157. C4⋊C4×Dic59C22semidirect
158. C4×Dic59⋊C4C22semidirect
159. #16837253C22semidirect
167. C4×C22⋊Dic59C22semidirect
170. #16837248C22semidirect
171. #16837247C22semidirect
175. C2×C4×D4×C59C22semidirect
176. C22×C4⋊C4×C59C22semidirect
178. C59×#389C22semidirect
180. C59×#388C22semidirect
182. C59×#386C22semidirect
184. C59×#385C22semidirect
185. C4×C4⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
824. #2361D59semidirect
864. C2×C4×D4C2×D59semidirect
865. C22×C4⋊C4C2×D59semidirect
911. #389C2×D59semidirect
931. #388C2×D59semidirect
958. #386C2×D59semidirect
971. #385C2×D59semidirect
982. C4×C4⋊C4C2×D59semidirect
993. C4×C22⋊C4C2×D59semidirect
996. C59#60031semidirect

Maximal subgroups

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

subgroupindex
#214304882
#214304852
#214304732
#214303082
#214297222
#214297192
#214296802
#214296782
#214296222
#214296172
#214295522
#214295452
#214294432
#214292252
#214292212
#214290652
#214281522
#214281412
#214281382
#214281292
#214280392
#214280272
#214272122
#214272112
#214272042
#214271582
#214271122
#214265972
C4×#142736952
C59×#23612
#6003159