Finite Group Databasebeta

← #29451791

Subgroups — #29451791

Order 15104.

2288 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21431306C211yesmaximal, characteristic, complemented
2#21430739C211yesmaximal, characteristic, complemented
3#21430735C211yesmaximal, characteristic, complemented
4#21430308C211yesmaximal, characteristic, complemented
5#21429707C211yesmaximal, characteristic, complemented
6#21429702C211yesmaximal, characteristic, complemented
7#21429552C211yesmaximal, characteristic, complemented
8#21429541C211yesmaximal, characteristic, complemented
9#21429200C211yesmaximal, characteristic, complemented
10#21429189C211yesmaximal, characteristic, complemented
11#21429025C211yesmaximal, characteristic, complemented
12#21429022C211yesmaximal, characteristic, complemented
13#21428732C211yesmaximal, characteristic, complemented
14#21428724C211yesmaximal, characteristic, complemented
15#21428206C211yesmaximal, characteristic, complemented
16#21428204C211yesmaximal, characteristic, complemented
17#21428104C211yesmaximal, characteristic, complemented
18#21428096C211yesmaximal, characteristic, complemented
19#21427988C211yesmaximal, characteristic, complemented
20#21427982C211yesmaximal, characteristic, complemented
21#21427713C211yesmaximal, characteristic, complemented
22#21427413C211yesmaximal, characteristic, complemented
23#21427226C211yesmaximal, characteristic, complemented
24#21427225C211yesmaximal, characteristic, complemented
25#21427158C211yesmaximal, characteristic, complemented
26#21427074C211yesmaximal, characteristic, complemented
27#21427073C211yesmaximal, characteristic, complemented
28#21427073C211yesmaximal, characteristic, complemented
29C4×#14273701C211yesmaximal, characteristic, complemented
30#21426586C211yesmaximal, characteristic, complemented
31C4×#121×C59C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C2×#14273723C2211yescharacteristic
34C2×#14273713C2211yescharacteristic, complemented
35C2×#14273712C2211yescharacteristic
36C2×#14273712C2211yescharacteristic, complemented
37C2×#14273711C2211yescharacteristic
38C2×#14273711C2211yescharacteristic
39C2×#14273710C2211yescharacteristic, complemented
40C2×#14273709C2211yescharacteristic
41C2×#14273701C2211yescharacteristic
42C2×#14273701C2211yescharacteristic
43C2×#14273700C2211yescharacteristic
44C2×#14273700C2211yescharacteristic, complemented
45C2×#14273697C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273695C2211yescharacteristic
48C2×#14273695C2211yescharacteristic
49C2×C4×D236C2211yescharacteristic
50C2×#14273689C2211yescharacteristic
51C2×C4×C22⋊D59C2211yescharacteristic
52C2×C4×C22⋊D59C2211yescharacteristic
53C2×C4×C22⋊D59C2211yescharacteristic, complemented
54C2×#14273686C2211yescharacteristic, complemented
55C22×(C2×D59)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D59C2211yescharacteristic
57C2×C22⋊C4×D59C2211yescharacteristic
58#16837344C2211yescharacteristic, complemented
59#16837341C2211yescharacteristic, complemented
60#16837339C2211yescharacteristic
61#16837339C2211yescharacteristic
62#16837338C2211yescharacteristic
63#16837337C2211yescharacteristic
64#16837336C2211yescharacteristic, complemented
65#16837335C2211yescharacteristic, complemented
66#16837329C2211yescharacteristic, complemented
67#16837328C2211yescharacteristic, complemented
68#16837327C2211yescharacteristic, complemented
69#16837327C2211yescharacteristic, complemented
70#16837325C2211yescharacteristic, complemented
71#16837325C2211yescharacteristic, complemented
72#16837319C2211yescharacteristic
73#16837319C2211yescharacteristic, complemented
74#16837318C2211yescharacteristic
75#16837318C2211yescharacteristic, complemented
76#16837315C2211yescharacteristic
77#16837314C2211yescharacteristic
78#16837312C2211yescharacteristic
79#16837312C2211yescharacteristic
80#16837311C2211yescharacteristic
81#16837311C2211yescharacteristic
82#16837311C2211yescharacteristic
83#16837311C2211yescharacteristic, complemented
84#16837310C2211yescharacteristic
85#16837310C2211yescharacteristic
86#16837310C2211yescharacteristic
87#16837310C2211yescharacteristic
88#16837310C2211yescharacteristic
89#16837310C2211yescharacteristic, complemented
90#16837308C2211yescharacteristic, complemented
91#16837308C2211yescharacteristic, complemented
92#16837306C2211yescharacteristic, complemented
93#16837305C2211yescharacteristic, complemented
94#16837304C2211yescharacteristic
95#16837304C2211yescharacteristic
96#16837304C2211yescharacteristic
97#16837304C2211yescharacteristic
98#16837304C2211yescharacteristic
99#16837302C2211yescharacteristic
100#16837302C2211yescharacteristic
101#16837302C2211yescharacteristic
102#16837302C2211yescharacteristic
103#16837302C2211yescharacteristic
104#16837302C2211yescharacteristic, complemented
105#16837300C2211yescharacteristic, complemented
106#16837295C2211yescharacteristic
107#16837295C2211yescharacteristic
108#16837295C2211yescharacteristic, complemented
109#16837295C2211yescharacteristic, complemented
110#16837294C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic
112#16837293C2211yescharacteristic
113#16837293C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837292C2211yescharacteristic
117#16837292C2211yescharacteristic
118#16837292C2211yescharacteristic
119#16837292C2211yescharacteristic, complemented
120#16837292C2211yescharacteristic, complemented
121#16837291C2211yescharacteristic, complemented
122#16837289C2211yescharacteristic, complemented
123#16837288C2211yescharacteristic, complemented
124#16837288C2211yescharacteristic, complemented
125#16837287C2211yescharacteristic, complemented
126#16837287C2211yescharacteristic, complemented
127#16837286C2211yescharacteristic, complemented
128#16837285C2211yescharacteristic, complemented
129#16837285C2211yescharacteristic, complemented
130#16837282C2211yescharacteristic
131#16837282C2211yescharacteristic
132#16837281C2211yescharacteristic
133#16837281C2211yescharacteristic
134#16837281C2211yescharacteristic
135#16837281C2211yescharacteristic
136#16837281C2211yescharacteristic, complemented
137#16837281C2211yescharacteristic, complemented
138#16837281C2211yescharacteristic, complemented
139#16837281C2211yescharacteristic, complemented
140#16837280C2211yescharacteristic
141#16837280C2211yescharacteristic
142#16837280C2211yescharacteristic
143#16837280C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic
146#16837278C2211yescharacteristic
147#16837278C2211yescharacteristic
148#16837278C2211yescharacteristic
149#16837278C2211yescharacteristic, complemented
150#16837276C2211yescharacteristic
151#16837275C2211yescharacteristic
152#16837275C2211yescharacteristic
153#16837273C2211yescharacteristic
154#16837273C2211yescharacteristic
155#16837273C2211yescharacteristic
156#16837264C2211yescharacteristic
157#16837262C2211yescharacteristic, complemented
158C4⋊C4×Dic59C2211yescharacteristic, complemented
159C4×Dic59⋊C4C2211yescharacteristic, complemented
160C4×C4⋊Dic59C2211yescharacteristic, complemented
161C22⋊C4×Dic59C2211yescharacteristic
162C22⋊C4×Dic59C2211yescharacteristic
163C4×(C2×D59)⋊C4C2211yescharacteristic
164C4×(C2×D59)⋊C4C2211yescharacteristic
165C4×(C2×D59)⋊C4C2211yescharacteristic
166C4×(C2×D59)⋊C4C2211yescharacteristic
167C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
168C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
169C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic
171#16837249C2211yescharacteristic, complemented
172C2×#121×C59C2211yescharacteristic
173C2×C4×D4×C59C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic
175C2×C4×D4×C59C2211yescharacteristic, complemented
176C22×C42×C59C2211yescharacteristic, complemented
177C59×#390C2211yescharacteristic
178C59×#389C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic
180C59×#388C2211yescharacteristic, complemented
181C59×#386C2211yescharacteristic
182C59×#386C2211yescharacteristic, complemented
183C59×#380C2211yescharacteristic, complemented
184C4×C4⋊C4×C59C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C2×#11745685—24no—
189C2×#11745685—42no—
190C2×#11745685—42no—
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214#14273723—24no—
215#14273713—42no—
216#14273712—24no—
217#14273712—42no—
218#14273711—24no—
219#14273711—42no—
220#14273710—42no—
221#14273709—42no—
222#14273701—24no—
223#14273701—42no—
224#14273700—42no—
225#14273700—42no—
226#14273697—24no—
227#14273697—42no—
228#14273695—24no—
229#14273695—24no—
230C4×D236—42no—
231#14273689—42no—
232C4×C22⋊D59—42no—
233C4×C22⋊D59—42no—
234C4×C22⋊D59—42no—
235#14273686—42no—
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
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×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×(C2×D59)⋊C4—42no—
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×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C22⋊C4×D59—42no—
298C22⋊C4×D59—42no—
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
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
334C59⋊#95C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C22×D4×C59C2311yescharacteristic
337C22×D4×C59C2311yescharacteristic
338C23×C4×C59C2311yescharacteristic
339C23×C4×C59C2311yescharacteristic
340C23×C4×C59C2311yescharacteristic
341C23×C4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343#121×C59—24no—
344C4×D4×C59—42no—
345C4×D4×C59—42no—
346C4×D4×C59—42no—
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C42×C59—42no—
363C2×C42×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365C2×C42×C59C2311yescharacteristic
366C2×C42×C59C2311yescharacteristic
367C2×C42×C59C2311yescharacteristic
368C2×C42×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375C24×C59C2411yescharacteristic
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C23×D59—22no—
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C22×C4×C59—22no—
399C22×C4×C59—22no—
400C22×C4×C59—22no—
401C22×C4×C59—22no—
402C22×C4×C59—22no—
403C22×C4×C59—22no—
404C22×C4×C59—22no—
405C22×C4×C59—22no—
406C22×C4×C59—22no—
407C22×C4×C59—41no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59#4114yes—
455C22×Dic59—22no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470#11745685—416no—
471C2×D236—22no—
472C2×D236—22no—
473C2×D236—22no—
474C2×D236—22no—
475C2×D236—22no—
476C2×D236—22no—
477C2×D236—22no—
478C2×D236—41no—
479C2×D236—41no—
480C2×D236—41no—
481C2×D236—41no—
482C2×D236—41no—
483C2×D236—41no—
484C2×D236—41no—
485C2×D236—41no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
490C2×C4×D59—22no—
491C2×C4×D59—22no—
492C2×C4×D59—22no—
493C2×C4×D59—41no—
494C2×C4×D59—41no—
495C2×C4×D59—41no—
496C2×C4×D59—41no—
497C2×C4×D59—41no—
498C2×C4×D59—41no—
499C2×C4×D59—41no—
500C2×C4×D59—41no—
501C2×C4×D59—41no—
502C2×C4×D59—41no—
503C2×C4×D59—41no—
504C2×Dic118—22no—
505C2×Dic118—22no—
506C2×Dic118—41no—
507C4⋊C4×C59—22no—
508C4⋊C4×C59—22no—
509C4⋊C4×C59—22no—
510C4⋊C4×C59—22no—
511C4⋊C4×C59—41no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—22no—
516C22⋊C4×C59—22no—
517C22⋊C4×C59—22no—
518C22⋊C4×C59—22no—
519C22⋊C4×C59—41no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59#4114yescomplemented
522C42×C59—22no—
523C42×C59—22no—
524C42×C59—41no—
525C42×C59—41no—
526C42×C59—41no—
527C42×C59—41no—
528C22⋊Dic59—22no—
529C22⋊Dic59—22no—
530C22⋊Dic59—41no—
531C22⋊Dic59—41no—
532C22⋊Dic59—41no—
533C22⋊Dic59—41no—
534C22⋊Dic59—41no—
535C22⋊Dic59—41no—
536C22⋊Dic59—41no—
537C22⋊Dic59—41no—
538C22⋊Dic59—41no—
539C22⋊Dic59—41no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—22no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—22no—
559(C2×D59)⋊C4—22no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4—41no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4—41no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4#4114yescomplemented
572C4⋊Dic59—22no—
573C4⋊Dic59—22no—
574C4⋊Dic59—22no—
575C4⋊Dic59—22no—
576C4⋊Dic59—22no—
577C4⋊Dic59—41no—
578C4⋊Dic59—41no—
579C4⋊Dic59—41no—
580Dic59⋊C4—22no—
581Dic59⋊C4—22no—
582Dic59⋊C4—22no—
583Dic59⋊C4—41no—
584Dic59⋊C4—41no—
585Dic59⋊C4—41no—
586Dic59⋊C4—41no—
587Dic59⋊C4—41no—
588C4×Dic59—22no—
589C4×Dic59—41no—
590C4×Dic59—41no—
591C4×Dic59—41no—
592C4×Dic59—41no—
593C4×Dic59—41no—
594C4×Dic59—41no—
595C4×Dic59—41no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59C2×#4112yes—
616C23×C59C2×#4112yes—
617C23×C59C2511yescharacteristic
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—44no—
645C22×D59—44no—
646C22×D59—44no—
647C22×D59—82no—
648C22×D59—82no—
649C22×D59—82no—
650C22×D59—82no—
651C22×D59C2×#4112yes—
652C22×D59C2×#4112yes—
653D4×C59—44no—
654D4×C59—44no—
655D4×C59—44no—
656C2×C4×C59—28no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—44no—
687C2×C4×C59—44no—
688C2×C4×C59—82no—
689C2×C4×C59—82no—
690C2×C4×C59C2×#4112yes—
691C2×C4×C59C2×#4112yes—
692C2×C4×C59C2×#4112yes—
693C2×C4×C59H(5,𝔽2)12yes—
694C2×C4×C59H(5,𝔽2)12yes—
695C2×C4×C59H(5,𝔽2)12yes—
696C2×C4×C59H(5,𝔽2)12yes—
697C22⋊D59—44no—
698C22⋊D59—44no—
699C22⋊D59—44no—
700C22⋊D59—44no—
701C22⋊D59—44no—
702C22⋊D59—82no—
703C22⋊D59—82no—
704C22⋊D59—82no—
705C22⋊D59—82no—
706C22⋊D59—82no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—82no—
742C2×Dic59C2×#4112yes—
743C2×Dic59C2×#4112yes—
744D236—44no—
745D236—44no—
746D236—44no—
747D236—82no—
748D236—82no—
749C4×D59—44no—
750C4×D59—44no—
751C4×D59—82no—
752C4×D59—82no—
753C4×D59—82no—
754C4×D59—82no—
755Dic118—44no—
756#60034—591nomaximal, Sylow
757C22×C59—22no—
758C22×C59—22no—
759C22×C59—22no—
760C22×C59—22no—
761C22×C59—22no—
762C22×C59—22no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59—41no—
777C22×C59—41no—
778C22×C59C22×#4111yescharacteristic
779C22×C59C22×#4111yescharacteristic
780C22×C59C22×#4111yescharacteristic
781C22×C59C2×H(5,𝔽2)11yescharacteristic
782C22×C59C2×H(5,𝔽2)11yescharacteristic
783C22×C59C2×H(5,𝔽2)11yescharacteristic
784C22×C59C2×H(5,𝔽2)11yescharacteristic
785C2×D59—22no—
786C2×D59—22no—
787C2×D59—22no—
788C2×D59—22no—
789C2×D59—22no—
790C2×D59—22no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—41no—
798C2×D59—41no—
799C2×D59—41no—
800C2×D59—41no—
801C2×D59—41no—
802C2×D59—41no—
803C2×D59—41no—
804C2×D59—41no—
805C2×D59—41no—
806C2×D59—41no—
807C2×D59—41no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—88no—
814C4×C59—22no—
815C4×C59—22no—
816C4×C59—22no—
817C4×C59—22no—
818C4×C59—22no—
819C4×C59—22no—
820C4×C59—22no—
821C4×C59—41no—
822C4×C59—41no—
823C4×C59—41no—
824C4×C59—41no—
825C4×C59—41no—
826Dic59—22no—
827Dic59—22no—
828Dic59—41no—
829Dic59—41no—
830Dic59—41no—
831Dic59—41no—
832Dic59—41no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838#2748—591no—
839#2703—591no—
840#2703—591no—
841#2669—591no—
842#2602—591no—
843#2602—591no—
844#2589—591no—
845#2589—591no—
846#2557—591no—
847#2557—591no—
848#2539—591no—
849#2539—591no—
850#2516—591no—
851#2516—591no—
852#2471—591no—
853#2471—591no—
854#2464—591no—
855#2464—591no—
856#2456—591no—
857#2456—591no—
858#2431—591no—
859#2404—591no—
860#2374—591no—
861#2374—591no—
862#2366—591no—
863#2358—591no—
864#2358—591no—
865#2358—591no—
866C4×#121—591no—
867C4×#121D5911yescharacteristic, complemented
868#2297—591no—
869C2×C59—42no—
870C2×C59—42no—
871C2×C59—81no—
872C2×C59#348111yescharacteristic
873C2×C59#348111yescharacteristic
874C2×C59#348111yescharacteristic
875C2×C59#349011yescharacteristic
876C2×C59#350811yescharacteristic
877C2×C59#350811yescharacteristic
878C2×C59#353711yescharacteristic
879D59—42no—
880D59—42no—
881D59—81no—
882D59—81no—
883C22×#41—591no—
884C2×#127—591no—
885C2×#124—591no—
886C2×#123—591no—
887C2×#123—591no—
888C2×#123—591no—
889C2×#123—591no—
890C2×#123—591no—
891C2×#123—591no—
892C2×#121—591no—
893C2×#121—591no—
894C2×#121—591no—
895C2×#121—591no—
896C2×#121C2×D5911yescharacteristic
897C2×#120—591no—
898C2×#120—591no—
899C2×#120—591no—
900C2×#120—591no—
901C2×C4×D4—591no—
902C2×C4×D4—591no—
903C2×C4×D4—591no—
904C2×C4×D4—591no—
905C2×C4×D4—591no—
906C2×C4×D4C2×D5911yescharacteristic
907C2×C4×D4C2×D5911yescharacteristic
908C2×C4×D4C2×D5911yescharacteristic, complemented
909C2×#117—591no—
910C22×C22⋊C4—591no—
911C22×C22⋊C4—591no—
912C22×C22⋊C4—591no—
913C22×C42C2×D5911yescharacteristic, complemented
914#400—591no—
915#400—591no—
916#399—591no—
917#399—591no—
918#399—591no—
919#399—591no—
920#398—591no—
921#398—591no—
922#397—591no—
923#397—591no—
924#397—591no—
925#397—591no—
926#396—591no—
927#396—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
932#393—591no—
933#393—591no—
934#392—591no—
935#392—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#392—591no—
941#392—591no—
942#392—591no—
943#392—591no—
944#392—591no—
945#392—591no—
946#391—591no—
947#391—591no—
948#391—591no—
949#390—591no—
950#390—591no—
951#390—591no—
952#390—591no—
953#390—591no—
954#390—591no—
955#390—591no—
956#390—591no—
957#390—591no—
958#390—591no—
959#390—591no—
960#390—591no—
961#390C2×D5911yescharacteristic
962#389—591no—
963#389C2×D5911yescharacteristic, complemented
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388C2×D5911yescharacteristic
981#388C2×D5911yescharacteristic, complemented
982#387—591no—
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#387—591no—
989#387—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#386—591no—
1005#386—591no—
1006#386—591no—
1007#386—591no—
1008#386—591no—
1009#386—591no—
1010#386C2×D5911yescharacteristic
1011#386C2×D5911yescharacteristic, complemented
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385—591no—
1017#385—591no—
1018#381—591no—
1019#380—591no—
1020#380C2×D5911yescharacteristic, complemented
1021C4×C4⋊C4—591no—
1022C4×C4⋊C4—591no—
1023C4×C4⋊C4—591no—
1024C4×C4⋊C4C2×D5911yescharacteristic, complemented
1025C4×C22⋊C4—591no—
1026C4×C22⋊C4—591no—
1027C4×C22⋊C4—591no—
1028C4×C22⋊C4—591no—
1029C4×C22⋊C4—591no—
1030C4×C22⋊C4—591no—
1031C4×C22⋊C4—591no—
1032C4×C22⋊C4—591no—
1033C4×C22⋊C4—591no—
1034C4×C22⋊C4—591no—
1035C4×C22⋊C4—591no—
1036C4×C22⋊C4C2×D5911yescharacteristic
1037C4×C22⋊C4C2×D5911yescharacteristic, complemented
1038C59#6003411yescharacteristic, complemented, Sylow
1039C25—591no—
1040C2×#41—1184no—
1041C2×#41—2362no—
1042C2×#41—2362no—
1043C22×Q8—591no—
1044C22×D4—591no—
1045C22×D4—591no—
1046C22×D4—591no—
1047C22×D4—591no—
1048C22×D4—591no—
1049C22×D4—591no—
1050C22×D4—591no—
1051C22×D4—591no—
1052C22×D4—591no—
1053C22×D4—591no—
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4C22×D5911yescharacteristic
1060C22×D4C22×D5911yescharacteristic
1061C22×D4C22×D5911yescharacteristic
1062C23×C4—591no—
1063C23×C4—591no—
1064C23×C4—591no—
1065C23×C4—591no—
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4C22×D5911yescharacteristic
1070C23×C4C22×D5911yescharacteristic
1071C23×C4C22×D5911yescharacteristic
1072C23×C4C22×D5911yescharacteristic
1073C23×C4C22×D5911yescharacteristic
1074#127—1184no—
1075#124—2362no—
1076#123—1184no—
1077#123—1184no—
1078#123—2362no—
1079#123—2362no—
1080#123—2362no—
1081#123—2362no—
1082#121—24no—
1083#121—1184no—
1084#121—2362no—
1085#121—2362no—
1086#121—2362no—
1087#120—1184no—
1088#120—1184no—
1089#120—1184no—
1090#120—2362no—
1091C4×D4—42no—
1092C4×D4—42no—
1093C4×D4—42no—
1094C4×D4—2362no—
1095C4×D4—2362no—
1096C4×D4—2362no—
1097C4×D4—2362no—
1098C4×D4—2362no—
1099#117—2362no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—591no—
1110C2×C4⋊C4—591no—
1111C2×C4⋊C4—591no—
1112C2×C4⋊C4—591no—
1113C2×C4⋊C4—591no—
1114C2×C4⋊C4—591no—
1115C2×C4⋊C4—591no—
1116C2×C4⋊C4C22×D5911yescharacteristic
1117C2×C4⋊C4C22×D5911yescharacteristic
1118C2×C4⋊C4C22×D5911yescharacteristic
1119C2×C4⋊C4C22×D5911yescharacteristic
1120C2×C4⋊C4C22×D5911yescharacteristic
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—2362no—
1166C2×C22⋊C4—2362no—
1167C2×C22⋊C4—2362no—
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C22⋊C4C22×D5911yescharacteristic
1171C2×C22⋊C4C22×D5911yescharacteristic
1172C2×C22⋊C4C22×D5911yescharacteristic
1173C2×C22⋊C4C22×D5911yescharacteristic
1174C2×C22⋊C4C22×D5911yescharacteristic
1175C2×C22⋊C4C22×D5911yescharacteristic
1176C2×C22⋊C4C22×D5911yescharacteristic
1177C2×C22⋊C4C22×D5911yescharacteristic
1178C2×C42—42no—
1179C2×C42—591no—
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—591no—
1184C2×C42—591no—
1185C2×C42—591no—
1186C2×C42—591no—
1187C2×C42C22×D5911yescharacteristic
1188C2×C42C22×D5911yescharacteristic
1189C2×C42C22×D5911yescharacteristic
1190C2×C42C22×D5911yescharacteristic
1191C2×C42C22×D5911yescharacteristic
1192C2×C42C22×D5911yescharacteristic
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95—591no—
1212#95—591no—
1213#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95C22×D5911yescharacteristic
1222#95C22×D5911yescharacteristic
1223#95C22×D5911yescharacteristic
1224#95C22×D5911yescharacteristic
1225#95C22×D5911yescharacteristic
1226#95C22×D5911yescharacteristic
1227C24—591no—
1228C24—591no—
1229C24—591no—
1230C24—591no—
1231C24—1182no—
1232C24—1182no—
1233C24—1182no—
1234C24—2361no—
1235C24—2361no—
1236C24—2361no—
1237C24—2361no—
1238C24C23×D5911yescharacteristic
1239C24C23×D5911yescharacteristic
1240C24C23×D5911yescharacteristic
1241#41—23616no—
1242C2×Q8—1182no—
1243C2×Q8—1182no—
1244C2×Q8—2361no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—594no—
1255C2×D4—1182no—
1256C2×D4—1182no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
1261C2×D4—1182no—
1262C2×D4—1182no—
1263C2×D4—1182no—
1264C2×D4—1182no—
1265C2×D4—1182no—
1266C2×D4—1182no—
1267C2×D4—1182no—
1268C2×D4—1182no—
1269C2×D4—1182no—
1270C2×D4—1182no—
1271C2×D4—1182no—
1272C2×D4—1182no—
1273C2×D4—2361no—
1274C2×D4—2361no—
1275C2×D4—2361no—
1276C2×D4—2361no—
1277C2×D4—2361no—
1278C2×D4—2361no—
1279C2×D4—2361no—
1280C2×D4—2361no—
1281C2×D4—2361no—
1282C2×D4—2361no—
1283C2×D4—2361no—
1284C2×D4—2361no—
1285C2×D4—2361no—
1286C2×D4—2361no—
1287C2×D4—2361no—
1288C2×D4—2361no—
1289C2×D4—2361no—
1290C2×D4—2361no—
1291C2×D4—2361no—
1292C2×D4—2361no—
1293C2×D4—2361no—
1294C2×D4—2361no—
1295C2×D4—2361no—
1296C2×D4—2361no—
1297C2×D4—2361no—
1298C2×D4—2361no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—591no—
1317C22×C4—591no—
1318C22×C4—591no—
1319C22×C4—591no—
1320C22×C4—591no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—591no—
1325C22×C4—591no—
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—2361no—
1335C22×C4—2361no—
1336C22×C4—2361no—
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×C4C23×D5911yescharacteristic
1348C22×C4C23×D5911yescharacteristic
1349C22×C4C23×D5911yescharacteristic
1350C22×C4C23×D5911yescharacteristic
1351C22×C4C23×D5911yescharacteristic
1352C22×C4C23×D5911yescharacteristic
1353C22×C4C23×D5911yescharacteristic
1354C22×C4C23×D5911yescharacteristic
1355C22×C4C23×D5911yescharacteristic
1356C22×C4C23×D5911yescharacteristic
1357C22×C4C23×D5911yescharacteristic
1358C22×C4C23×D5911yescharacteristic
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—41no—
1364C4⋊C4—1182no—
1365C4⋊C4—1182no—
1366C4⋊C4—1182no—
1367C4⋊C4—1182no—
1368C4⋊C4—1182no—
1369C4⋊C4—1182no—
1370C4⋊C4—1182no—
1371C4⋊C4—1182no—
1372C4⋊C4—2361no—
1373C4⋊C4—2361no—
1374C4⋊C4—2361no—
1375C4⋊C4—2361no—
1376C4⋊C4—2361no—
1377C4⋊C4—2361no—
1378C4⋊C4—2361no—
1379C4⋊C4—2361no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—594no—
1390C22⋊C4—1182no—
1391C22⋊C4—1182no—
1392C22⋊C4—1182no—
1393C22⋊C4—1182no—
1394C22⋊C4—1182no—
1395C22⋊C4—1182no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—1182no—
1400C22⋊C4—1182no—
1401C22⋊C4—1182no—
1402C22⋊C4—1182no—
1403C22⋊C4—1182no—
1404C22⋊C4—1182no—
1405C22⋊C4—1182no—
1406C22⋊C4—1182no—
1407C22⋊C4—1182no—
1408C22⋊C4—1182no—
1409C22⋊C4—1182no—
1410C22⋊C4—1182no—
1411C22⋊C4—1182no—
1412C22⋊C4—2361no—
1413C22⋊C4—2361no—
1414C22⋊C4—2361no—
1415C22⋊C4—2361no—
1416C22⋊C4—2361no—
1417C22⋊C4—2361no—
1418C22⋊C4—2361no—
1419C22⋊C4—2361no—
1420C22⋊C4—2361no—
1421C22⋊C4—2361no—
1422C22⋊C4—2361no—
1423C22⋊C4—2361no—
1424C22⋊C4—2361no—
1425C22⋊C4—2361no—
1426C22⋊C4—2361no—
1427C22⋊C4—2361no—
1428C22⋊C4—2361no—
1429C22⋊C4—2361no—
1430C22⋊C4—2361no—
1431C22⋊C4—2361no—
1432C22⋊C4—2361no—
1433C22⋊C4#1174568514yescomplemented
1434C42—22no—
1435C42—22no—
1436C42—41no—
1437C42—41no—
1438C42—41no—
1439C42—41no—
1440C42—1182no—
1441C42—2361no—
1442C42—2361no—
1443C42—2361no—
1444C42—2361no—
1445C42—2361no—
1446C42—2361no—
1447C42—2361no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—592no—
1468C23—592no—
1469C23—1181no—
1470C23—1181no—
1471C23—1181no—
1472C23—1181no—
1473C23—1181no—
1474C23—1181no—
1475C23—1181no—
1476C23—1181no—
1477C23—1181no—
1478C23—1181no—
1479C23—1181no—
1480C23—1181no—
1481C23—1181no—
1482C23—1181no—
1483C23—1181no—
1484C23—1181no—
1485C23—1181no—
1486C23—1181no—
1487C23—1181no—
1488C23—1181no—
1489C23—1181no—
1490C23—1181no—
1491C23—1181no—
1492C23—1181no—
1493C23—1181no—
1494C23—1181no—
1495C23—4722no—
1496C23—4722no—
1497C23—4722no—
1498C23—4722no—
1499C23—2364no—
1500C23—2364no—
1501C23—2364no—
1502C23#41×D5912yes—
1503C23C2×#1174568512yes—
1504C23C24×D5911yescharacteristic
1505Q8—2364no—
1506D4—44no—
1507D4—44no—
1508D4—44no—
1509D4—4722no—
1510D4—4722no—
1511D4—4722no—
1512D4—4722no—
1513D4—4722no—
1514D4—4722no—
1515D4—4722no—
1516D4—2364no—
1517D4—2364no—
1518D4—2364no—
1519D4—2364no—
1520D4—2364no—
1521D4—2364no—
1522D4—2364no—
1523D4—2364no—
1524C2×C4—28no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—82no—
1557C2×C4—82no—
1558C2×C4—592no—
1559C2×C4—592no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—4722no—
1595C2×C4—4722no—
1596C2×C4—4722no—
1597C2×C4—4722no—
1598C2×C4—4722no—
1599C2×C4—2364no—
1600C2×C4—2364no—
1601C2×C4#41×D5912yes—
1602C2×C4C2×#1174568512yes—
1603C2×C4C2×#1174568512yes—
1604C2×C4#1427377212yes—
1605C2×C4#1427377212yes—
1606C2×C4#1427377312yes—
1607C2×C4#1427377312yes—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—1182no—
1630C22—1182no—
1631C22—1182no—
1632C22—1182no—
1633C22—1182no—
1634C22—1182no—
1635C22—4728no—
1636C22—2361no—
1637C22—2361no—
1638C22—2361no—
1639C22—2361no—
1640C22—2361no—
1641C22—2361no—
1642C22—2361no—
1643C22—2361no—
1644C22—2361no—
1645C22—2361no—
1646C22—2361no—
1647C22—2361no—
1648C22—2361no—
1649C22—2361no—
1650C22—2361no—
1651C22—2361no—
1652C22—2361no—
1653C22—2361no—
1654C22—2361no—
1655C22—2361no—
1656C22—2361no—
1657C22—2361no—
1658C22C2×#41×D5911yescharacteristic
1659C22C2×#41×D5911yescharacteristic
1660C22C22×#1174568511yescharacteristic
1661C22C2×#1427377211yescharacteristic
1662C22C2×#1427377211yescharacteristic
1663C22C2×#1427377311yescharacteristic
1664C22C2×#1427377311yescharacteristic
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—22no—
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—1182no—
1678C4—1182no—
1679C4—2361no—
1680C4—2361no—
1681C4—2361no—
1682C4—2361no—
1683C4—2361no—
1684C4—2361no—
1685C4—2361no—
1686C4—2361no—
1687C4—2361no—
1688C4—2361no—
1689C2—42no—
1690C2—42no—
1691C2—81no—
1692C2—4721no—
1693C2—4721no—
1694C2—2362no—
1695C2—2362no—
1696C2#2143770011yescharacteristic
1697C2#2143770011yescharacteristic
1698C2#2143770211yescharacteristic
1699C2#2143777911yescharacteristic
1700C2#2143796511yescharacteristic
1701C2#2143797211yescharacteristic
1702C2#2143833111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC4×#121×C59C2
hypercenterC4×#121D59
hypocenterC59#60034
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. #21431306C2semidirect
2. #21430739C2semidirect
3. #21430735C2semidirect
4. #21430308C2semidirect
5. #21429707C2semidirect
6. #21429702C2semidirect
7. #21429552C2semidirect
8. #21429541C2semidirect
9. #21429200C2semidirect
10. #21429189C2semidirect
11. #21429025C2semidirect
12. #21429022C2semidirect
13. #21428732C2semidirect
14. #21428724C2semidirect
15. #21428206C2semidirect
16. #21428204C2semidirect
17. #21428104C2semidirect
18. #21428096C2semidirect
19. #21427988C2semidirect
20. #21427982C2semidirect
21. #21427713C2semidirect
22. #21427413C2semidirect
23. #21427226C2semidirect
24. #21427225C2semidirect
25. #21427158C2semidirect
26. #21427074C2semidirect
27. #21427073C2semidirect
28. #21427073C2semidirect
29. C4×#14273701C2semidirect
30. #21426586C2semidirect
31. C4×#121×C59C2semidirect
34. C2×#14273713C22semidirect
36. C2×#14273712C22semidirect
39. C2×#14273710C22semidirect
44. C2×#14273700C22semidirect
53. C2×C4×C22⋊D59C22semidirect
54. C2×#14273686C22semidirect
58. #16837344C22semidirect
59. #16837341C22semidirect
64. #16837336C22semidirect
65. #16837335C22semidirect
66. #16837329C22semidirect
67. #16837328C22semidirect
68. #16837327C22semidirect
69. #16837327C22semidirect
70. #16837325C22semidirect
71. #16837325C22semidirect
73. #16837319C22semidirect
75. #16837318C22semidirect
83. #16837311C22semidirect
89. #16837310C22semidirect
90. #16837308C22semidirect
91. #16837308C22semidirect
92. #16837306C22semidirect
93. #16837305C22semidirect
104. #16837302C22semidirect
105. #16837300C22semidirect
108. #16837295C22semidirect
109. #16837295C22semidirect
110. #16837294C22semidirect
113. #16837293C22semidirect
114. #16837293C22semidirect
115. #16837293C22semidirect
119. #16837292C22semidirect
120. #16837292C22semidirect
121. #16837291C22semidirect
122. #16837289C22semidirect
123. #16837288C22semidirect
124. #16837288C22semidirect
125. #16837287C22semidirect
126. #16837287C22semidirect
127. #16837286C22semidirect
128. #16837285C22semidirect
129. #16837285C22semidirect
136. #16837281C22semidirect
137. #16837281C22semidirect
138. #16837281C22semidirect
139. #16837281C22semidirect
149. #16837278C22semidirect
157. #16837262C22semidirect
158. C4⋊C4×Dic59C22semidirect
159. C4×Dic59⋊C4C22semidirect
160. C4×C4⋊Dic59C22semidirect
167. C4×(C2×D59)⋊C4C22semidirect
168. C4×(C2×D59)⋊C4C22semidirect
169. C4×(C2×D59)⋊C4C22semidirect
171. #16837249C22semidirect
175. C2×C4×D4×C59C22semidirect
176. C22×C42×C59C22semidirect
178. C59×#389C22semidirect
180. C59×#388C22semidirect
182. C59×#386C22semidirect
183. C59×#380C22semidirect
184. C4×C4⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
521. C22⋊C4×C59#41semidirect
571. (C2×D59)⋊C4#41semidirect
867. C4×#121D59semidirect
908. C2×C4×D4C2×D59semidirect
913. C22×C42C2×D59semidirect
963. #389C2×D59semidirect
981. #388C2×D59semidirect
1011. #386C2×D59semidirect
1020. #380C2×D59semidirect
1024. C4×C4⋊C4C2×D59semidirect
1037. C4×C22⋊C4C2×D59semidirect
1038. C59#60034semidirect
1433. C22⋊C4#11745685semidirect

Maximal subgroups

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

subgroupindex
#214313062
#214307392
#214307352
#214303082
#214297072
#214297022
#214295522
#214295412
#214292002
#214291892
#214290252
#214290222
#214287322
#214287242
#214282062
#214282042
#214281042
#214280962
#214279882
#214279822
#214277132
#214274132
#214272262
#214272252
#214271582
#214270742
#214270732
C4×#142737012
#214265862
C4×#121×C592
#6003459