Finite Group Databasebeta

← #28797574

Subgroups — #28797574

Order 15104.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432378C211yesmaximal, characteristic, complemented
2#21431957C211yesmaximal, characteristic, complemented
3#21431816C211yesmaximal, characteristic, complemented
4#21431421C211yesmaximal, characteristic, complemented
5#21431374C211yesmaximal, characteristic, complemented
6#21431360C211yesmaximal, characteristic, complemented
7#21431315C211yesmaximal, characteristic, complemented
8#21431196C211yesmaximal, characteristic, complemented
9#21430825C211yesmaximal, characteristic, complemented
10#21430824C211yesmaximal, characteristic, complemented
11#21430780C211yesmaximal, characteristic, complemented
12#21430733C211yesmaximal, characteristic, complemented
13#21430683C211yesmaximal, characteristic, complemented
14#21430529C211yesmaximal, characteristic, complemented
15#21430362C211yesmaximal, characteristic, complemented
16#21430360C211yesmaximal, characteristic, complemented
17#21430335C211yesmaximal, characteristic, complemented
18#21429874C211yesmaximal, characteristic, complemented
19#21429836C211yesmaximal, characteristic, complemented
20#21429322C211yesmaximal, characteristic, complemented
21#21429060C211yesmaximal, characteristic, complemented
22#21427731C211yesmaximal, characteristic, complemented
23#21427636C211yesmaximal, characteristic, complemented
24#21427630C211yesmaximal, characteristic, complemented
25#21427562C211yesmaximal, characteristic, complemented
26#21427556C211yesmaximal, characteristic, complemented
27#21427451C211yesmaximal, characteristic, complemented
28#21426797C211yesmaximal, characteristic, complemented
29#21426724C211yesmaximal, characteristic, complemented
30C2×#16837281C211yesmaximal, characteristic, complemented
31C59×#2849C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C2×#14273723C2211yescharacteristic
34C2×#14273723C2211yescharacteristic
35C2×#14273711C2211yescharacteristic, complemented
36C2×#14273709C2211yescharacteristic, complemented
37C2×#14273702C2211yescharacteristic, complemented
38C2×#14273701C2211yescharacteristic
39C2×#14273701C2211yescharacteristic, complemented
40C2×#14273701C2211yescharacteristic, complemented
41C2×#14273700C2211yescharacteristic
42C2×#14273700C2211yescharacteristic
43C2×#14273699C2211yescharacteristic
44C2×#14273699C2211yescharacteristic
45C2×#14273699C2211yescharacteristic, complemented
46C2×#14273697C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273696C2211yescharacteristic
49C2×#14273696C2211yescharacteristic
50C2×#14273695C2211yescharacteristic
51C2×D4×Dic59C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C22×C22⋊Dic59C2211yescharacteristic
55C22×(C2×D59)⋊C4C2211yescharacteristic
56C22×(C2×D59)⋊C4C2211yescharacteristic
57#16837343C2211yescharacteristic, complemented
58#16837340C2211yescharacteristic, complemented
59#16837339C2211yescharacteristic, complemented
60#16837338C2211yescharacteristic, complemented
61#16837336C2211yescharacteristic, complemented
62#16837336C2211yescharacteristic, complemented
63#16837332C2211yescharacteristic, complemented
64#16837331C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837331C2211yescharacteristic, complemented
68#16837331C2211yescharacteristic, complemented
69#16837330C2211yescharacteristic, complemented
70#16837329C2211yescharacteristic, complemented
71#16837328C2211yescharacteristic, complemented
72#16837328C2211yescharacteristic, complemented
73#16837325C2211yescharacteristic, complemented
74#16837324C2211yescharacteristic, complemented
75#16837320C2211yescharacteristic, complemented
76#16837320C2211yescharacteristic, complemented
77#16837320C2211yescharacteristic, complemented
78#16837320C2211yescharacteristic, complemented
79#16837320C2211yescharacteristic, complemented
80#16837319C2211yescharacteristic, complemented
81#16837319C2211yescharacteristic, complemented
82#16837319C2211yescharacteristic, complemented
83#16837318C2211yescharacteristic, complemented
84#16837318C2211yescharacteristic, complemented
85#16837318C2211yescharacteristic, complemented
86#16837318C2211yescharacteristic, complemented
87#16837317C2211yescharacteristic
88#16837317C2211yescharacteristic
89#16837317C2211yescharacteristic, complemented
90#16837317C2211yescharacteristic, complemented
91#16837317C2211yescharacteristic, complemented
92#16837317C2211yescharacteristic, complemented
93#16837316C2211yescharacteristic, complemented
94#16837312C2211yescharacteristic, complemented
95#16837311C2211yescharacteristic
96#16837311C2211yescharacteristic
97#16837311C2211yescharacteristic
98#16837311C2211yescharacteristic
99#16837311C2211yescharacteristic, complemented
100#16837311C2211yescharacteristic, complemented
101#16837311C2211yescharacteristic, complemented
102#16837310C2211yescharacteristic
103#16837310C2211yescharacteristic
104#16837310C2211yescharacteristic, complemented
105#16837303C2211yescharacteristic, complemented
106#16837302C2211yescharacteristic
107#16837302C2211yescharacteristic
108#16837302C2211yescharacteristic
109#16837302C2211yescharacteristic
110#16837302C2211yescharacteristic, complemented
111#16837296C2211yescharacteristic, complemented
112#16837296C2211yescharacteristic, complemented
113#16837296C2211yescharacteristic, complemented
114#16837295C2211yescharacteristic, complemented
115#16837295C2211yescharacteristic, complemented
116#16837294C2211yescharacteristic, complemented
117#16837294C2211yescharacteristic, complemented
118#16837294C2211yescharacteristic, complemented
119#16837294C2211yescharacteristic, complemented
120#16837292C2211yescharacteristic, complemented
121#16837291C2211yescharacteristic, complemented
122#16837291C2211yescharacteristic, complemented
123#16837289C2211yescharacteristic, complemented
124#16837289C2211yescharacteristic, complemented
125#16837288C2211yescharacteristic, complemented
126#16837287C2211yescharacteristic, complemented
127#16837284C2211yescharacteristic, complemented
128#16837284C2211yescharacteristic, complemented
129#16837283C2211yescharacteristic, complemented
130#16837283C2211yescharacteristic, complemented
131#16837282C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic
133#16837281C2211yescharacteristic
134#16837281C2211yescharacteristic
135#16837281C2211yescharacteristic
136#16837281C2211yescharacteristic
137#16837281C2211yescharacteristic
138#16837281C2211yescharacteristic
139#16837281C2211yescharacteristic
140#16837281C2211yescharacteristic
141#16837281C2211yescharacteristic
142#16837281C2211yescharacteristic, complemented
143#16837281C2211yescharacteristic, complemented
144#16837281C2211yescharacteristic, complemented
145#16837281C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic, complemented
147#16837280C2211yescharacteristic, complemented
148#16837279C2211yescharacteristic
149#16837279C2211yescharacteristic
150#16837279C2211yescharacteristic, complemented
151#16837279C2211yescharacteristic, complemented
152#16837278C2211yescharacteristic, complemented
153#16837278C2211yescharacteristic, complemented
154#16837278C2211yescharacteristic, complemented
155#16837277C2211yescharacteristic
156#16837276C2211yescharacteristic, complemented
157#16837274C2211yescharacteristic
158#16837274C2211yescharacteristic, complemented
159#16837269C2211yescharacteristic, complemented
160#16837267C2211yescharacteristic, complemented
161#16837264C2211yescharacteristic, complemented
162#16837262C2211yescharacteristic
163#16837262C2211yescharacteristic, complemented
164#16837262C2211yescharacteristic, complemented
165#16837260C2211yescharacteristic
166#16837260C2211yescharacteristic
167#16837259C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic
169C22⋊C4×Dic59C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C24×C4×C59C2211yescharacteristic
173C2×#123×C59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic, complemented
175C2×#120×C59C2211yescharacteristic
176C59×#386C2211yescharacteristic
177C59×#386C2211yescharacteristic
178C59×#386C2211yescharacteristic, complemented
179C59×#386C2211yescharacteristic, complemented
180C59×#385C2211yescharacteristic
181C59×#385C2211yescharacteristic
182C59×#385C2211yescharacteristic, complemented
183C59×#385C2211yescharacteristic, complemented
184C59×#381C2211yescharacteristic, complemented
185C59×#381C2211yescharacteristic, complemented
186C59×#379C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×D236C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59—24no—
194C22×C22⋊D59—42no—
195C22×C22⋊D59—42no—
196C22×C22⋊D59C2311yescharacteristic
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
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C23×Dic59C2311yescharacteristic
213C23×Dic59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216#14273723—42no—
217#14273723—42no—
218#14273711—42no—
219#14273709—42no—
220#14273702—42no—
221#14273701—42no—
222#14273701—42no—
223#14273701—42no—
224#14273700—42no—
225#14273700—42no—
226#14273699—24no—
227#14273699—42no—
228#14273699—42no—
229#14273697—42no—
230#14273697—42no—
231#14273696—42no—
232#14273696—42no—
233#14273695—42no—
234D4×Dic59—42no—
235(C22⋊D59)⋊C4—24no—
236(C22⋊D59)⋊C4—42no—
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×C22⋊Dic59—42no—
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×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×(C2×D59)⋊C4—42no—
268C2×(C2×D59)⋊C4—42no—
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C25×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C22×D4×C59C2311yescharacteristic
337C22×D4×C59C2311yescharacteristic
338C23×C4×C59—42no—
339C23×C4×C59—42no—
340C23×C4×C59—42no—
341C23×C4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346C23×C4×C59C2311yescharacteristic
347#123×C59—42no—
348#123×C59—42no—
349#120×C59—42no—
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊C4×C59C2311yescharacteristic
352C2×C4⋊C4×C59C2311yescharacteristic
353C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375C24×C59—22no—
376C24×C59—22no—
377C24×C59—22no—
378C24×C59—22no—
379C24×C59—22no—
380C24×C59—41no—
381C24×C59—41no—
382C24×C59C2411yescharacteristic
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C23×D59—22no—
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—41no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59C2411yescharacteristic
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C2×D4×C59—22no—
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C22×C4×C59—22no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—22no—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—22no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59—41no—
423C22×C4×C59—41no—
424C22×C4×C59—416no—
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59—41no—
459C2×C22⋊D59—41no—
460C2×C22⋊D59—41no—
461C2×C22⋊D59—41no—
462C2×C22⋊D59—41no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59—41no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—416no—
479C22×Dic59—22no—
480C22×Dic59—22no—
481C22×Dic59—41no—
482C22×Dic59—41no—
483C22×Dic59—41no—
484C22×Dic59—41no—
485C22×Dic59—41no—
486C22×Dic59—41no—
487C22×Dic59—41no—
488C22×Dic59—41no—
489C22×Dic59—41no—
490C22×Dic59#4114yes—
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2411yescharacteristic
495C22×Dic59C2411yescharacteristic
496C22×Dic59C2411yescharacteristic
497C22×Dic59C2411yescharacteristic
498C22×Dic59C2411yescharacteristic
499C22×Dic59C2411yescharacteristic
500C22×Dic59C2411yescharacteristic
501C22×Dic59C2411yescharacteristic
502C22×Dic59C2411yescharacteristic
503C2×D236—22no—
504C2×D236—41no—
505C2×D236—41no—
506C2×D236—41no—
507C2×D236—41no—
508C2×D236—41no—
509C2×D236—41no—
510C2×D236—41no—
511C2×D236—41no—
512C2×D236—41no—
513C2×D236—41no—
514C2×D236—41no—
515C2×D236—41no—
516C2×D236—41no—
517C2×D236—41no—
518C2×C4×D59—22no—
519C2×C4×D59—41no—
520C2×C4×D59—41no—
521C2×C4×D59—41no—
522C2×C4×D59—41no—
523C2×C4×D59—41no—
524C4⋊C4×C59—22no—
525C4⋊C4×C59—41no—
526C4⋊C4×C59—41no—
527C4⋊C4×C59—41no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—22no—
534C22⋊C4×C59—41no—
535C22⋊C4×C59—41no—
536C22⋊C4×C59—41no—
537C22⋊C4×C59—41no—
538C22⋊C4×C59—41no—
539C22⋊C4×C59—41no—
540C22⋊C4×C59—41no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—22no—
546C22⋊Dic59—41no—
547C22⋊Dic59—41no—
548C22⋊Dic59—41no—
549C22⋊Dic59—41no—
550C22⋊Dic59—41no—
551C22⋊Dic59—41no—
552C22⋊Dic59—41no—
553C22⋊Dic59—41no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
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—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4—41no—
574(C2×D59)⋊C4—41no—
575(C2×D59)⋊C4—41no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4—41no—
581(C2×D59)⋊C4—41no—
582(C2×D59)⋊C4—41no—
583(C2×D59)⋊C4—41no—
584(C2×D59)⋊C4—41no—
585(C2×D59)⋊C4—41no—
586C4⋊Dic59—22no—
587C4⋊Dic59—41no—
588C4⋊Dic59—41no—
589C4⋊Dic59—41no—
590C4⋊Dic59—41no—
591C4⋊Dic59—41no—
592Dic59⋊C4—22no—
593Dic59⋊C4—22no—
594Dic59⋊C4—41no—
595Dic59⋊C4—41no—
596Dic59⋊C4—41no—
597Dic59⋊C4—41no—
598Dic59⋊C4—41no—
599Dic59⋊C4—41no—
600Dic59⋊C4—41no—
601Dic59⋊C4—41no—
602C4×Dic59—22no—
603C4×Dic59—41no—
604C4×Dic59—41no—
605C4×Dic59—41no—
606C4×Dic59—41no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—28no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—44no—
632C23×C59—44no—
633C23×C59—44no—
634C23×C59—44no—
635C23×C59—44no—
636C23×C59—44no—
637C23×C59C2×#4112yes—
638C23×C59H(5,𝔽2)12yes—
639C23×C59H(5,𝔽2)12yes—
640C23×C59H(5,𝔽2)12yes—
641C23×C59H(5,𝔽2)12yes—
642C23×C59C2511yescharacteristic
643C22×D59—21no—
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—44no—
672C22×D59—44no—
673C22×D59—44no—
674C22×D59—82no—
675C22×D59—82no—
676C22×D59—82no—
677C22×D59—82no—
678D4×C59—44no—
679D4×C59—82no—
680D4×C59—82no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—44no—
714C2×C4×C59—44no—
715C2×C4×C59—44no—
716C2×C4×C59—44no—
717C2×C4×C59—44no—
718C2×C4×C59—44no—
719C2×C4×C59H(5,𝔽2)12yes—
720C22⋊D59—44no—
721C22⋊D59—44no—
722C22⋊D59—44no—
723C22⋊D59—44no—
724C22⋊D59—44no—
725C22⋊D59—44no—
726C22⋊D59—82no—
727C22⋊D59—82no—
728C22⋊D59—82no—
729C22⋊D59—82no—
730C22⋊D59—82no—
731C22⋊D59—82no—
732C22⋊D59—82no—
733C22⋊D59—82no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—44no—
769C2×Dic59—82no—
770C2×Dic59—82no—
771C2×Dic59—82no—
772C2×Dic59C2×#4112yes—
773C2×Dic59C2×#4112yes—
774D236—82no—
775D236—82no—
776D236—82no—
777D236—82no—
778D236—82no—
779C4×D59—82no—
780C4×D59—82no—
781#36794—591nomaximal, Sylow
782C22×C59—22no—
783C22×C59—22no—
784C22×C59—22no—
785C22×C59—22no—
786C22×C59—22no—
787C22×C59—22no—
788C22×C59—22no—
789C22×C59—22no—
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—416no—
795C22×C59—41no—
796C22×C59—41no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59—41no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59#54014yes—
811C22×C59C22×#4111yescharacteristic
812C22×C59C2×H(5,𝔽2)11yescharacteristic
813C22×C59C2×H(5,𝔽2)11yescharacteristic
814C22×C59C2×H(5,𝔽2)11yescharacteristic
815C22×C59C2×H(5,𝔽2)11yescharacteristic
816C22×C59C2×H(5,𝔽2)11yescharacteristic
817C22×C59#58511yescharacteristic
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—88no—
847C4×C59—22no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853C4×C59—41no—
854C4×C59—41no—
855C4×C59—41no—
856C4×C59—41no—
857C4×C59—41no—
858Dic59—22no—
859Dic59—22no—
860Dic59—41no—
861Dic59—41no—
862Dic59—41no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868Dic59—41no—
869Dic59—41no—
870#2849D5911yescharacteristic, complemented
871#2847—591no—
872#2797—591no—
873#2786—591no—
874#2756—591no—
875#2753—591no—
876#2752—591no—
877#2749—591no—
878#2740—591no—
879#2709—591no—
880#2709—591no—
881#2706—591no—
882#2703—591no—
883#2699—591no—
884#2688—591no—
885#2673—591no—
886#2673—591no—
887#2671—591no—
888#2622—591no—
889#2617—591no—
890#2569—591no—
891#2543—591no—
892#2433—591no—
893#2424—591no—
894#2424—591no—
895#2418—591no—
896#2418—591no—
897#2408—591no—
898#2325—591no—
899#2318—591no—
900C2×#386—591no—
901C2×C59—24no—
902C2×C59—42no—
903C2×C59—42no—
904C2×C59—81no—
905C2×C59C2×#54011yescharacteristic
906C2×C59#349011yescharacteristic
907C2×C59#350611yescharacteristic
908C2×C59#353211yescharacteristic
909C2×C59#353411yescharacteristic
910C2×C59#353411yescharacteristic
911C2×C59#353711yescharacteristic
912D59—81no—
913D59—81no—
914D59—81no—
915D59—81no—
916C23×D4—591no—
917C24×C4C2×D5911yescharacteristic
918C2×#127—591no—
919C2×#127—591no—
920C2×#123—591no—
921C2×#123—591no—
922C2×#123C2×D5911yescharacteristic, complemented
923C2×#123C2×D5911yescharacteristic, complemented
924C2×#121—591no—
925C2×#121—591no—
926C2×#121—591no—
927C2×#121—591no—
928C2×#121—591no—
929C2×#121—591no—
930C2×#121—591no—
931C2×#121—591no—
932C2×#121—591no—
933C2×#120—591no—
934C2×#120—591no—
935C2×#120—591no—
936C2×#120—591no—
937C2×#120—591no—
938C2×#120C2×D5911yescharacteristic
939C2×C4×D4—591no—
940C2×C4×D4—591no—
941C2×C4×D4—591no—
942C22×C22⋊C4—591no—
943C22×C22⋊C4—591no—
944C22×C22⋊C4—591no—
945#400—591no—
946#400—591no—
947#399—591no—
948#399—591no—
949#398—591no—
950#398—591no—
951#398—591no—
952#397—591no—
953#397—591no—
954#397—591no—
955#397—591no—
956#397—591no—
957#397—591no—
958#397—591no—
959#397—591no—
960#397—591no—
961#396—591no—
962#396—591no—
963#394—591no—
964#394—591no—
965#394—591no—
966#394—591no—
967#394—591no—
968#394—591no—
969#394—591no—
970#394—591no—
971#394—591no—
972#394—591no—
973#394—591no—
974#394—591no—
975#394—591no—
976#394—591no—
977#394—591no—
978#394—591no—
979#394—591no—
980#394—591no—
981#394—591no—
982#392—591no—
983#392—591no—
984#392—591no—
985#392—591no—
986#392—591no—
987#392—591no—
988#392—591no—
989#392—591no—
990#392—591no—
991#392—591no—
992#392—591no—
993#390—591no—
994#390—591no—
995#390—591no—
996#390—591no—
997#390—591no—
998#390—591no—
999#388—591no—
1000#388—591no—
1001#388—591no—
1002#388—591no—
1003#388—591no—
1004#388—591no—
1005#388—591no—
1006#388—591no—
1007#388—591no—
1008#388—591no—
1009#388—591no—
1010#388—591no—
1011#387—591no—
1012#387—591no—
1013#387—591no—
1014#387—591no—
1015#387—591no—
1016#387—591no—
1017#387—591no—
1018#387—591no—
1019#386—591no—
1020#386—591no—
1021#386—591no—
1022#386—591no—
1023#386—591no—
1024#386—591no—
1025#386—591no—
1026#386—591no—
1027#386—591no—
1028#386—591no—
1029#386—591no—
1030#386—591no—
1031#386—591no—
1032#386—591no—
1033#386—591no—
1034#386—591no—
1035#386—591no—
1036#386—591no—
1037#386—591no—
1038#386—591no—
1039#386—591no—
1040#386—591no—
1041#386—591no—
1042#386—591no—
1043#386C2×D5911yescharacteristic
1044#386C2×D5911yescharacteristic
1045#386C2×D5911yescharacteristic, complemented
1046#386C2×D5911yescharacteristic, complemented
1047#385—591no—
1048#385—591no—
1049#385—591no—
1050#385—591no—
1051#385C2×D5911yescharacteristic
1052#385C2×D5911yescharacteristic
1053#385C2×D5911yescharacteristic, complemented
1054#385C2×D5911yescharacteristic, complemented
1055#383—591no—
1056#382—591no—
1057#381—591no—
1058#381C2×D5911yescharacteristic, complemented
1059#381C2×D5911yescharacteristic, complemented
1060#380—591no—
1061#380—591no—
1062#380—591no—
1063#380—591no—
1064#380—591no—
1065#380—591no—
1066#379—591no—
1067#379C2×D5911yescharacteristic
1068C4×C22⋊C4—591no—
1069C2×#95—591no—
1070C2×#95—591no—
1071C59#3679411yescharacteristic, complemented, Sylow
1072C25—591no—
1073C25C22×D5911yescharacteristic
1074C22×D4—591no—
1075C22×D4—591no—
1076C22×D4—591no—
1077C22×D4—591no—
1078C22×D4—591no—
1079C22×D4—591no—
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—591no—
1084C22×D4—591no—
1085C22×D4—591no—
1086C22×D4—591no—
1087C22×D4—591no—
1088C22×D4—591no—
1089C22×D4—591no—
1090C22×D4—591no—
1091C22×D4—591no—
1092C22×D4—591no—
1093C22×D4—1184no—
1094C22×D4—2362no—
1095C22×D4—2362no—
1096C22×D4C22×D5911yescharacteristic
1097C22×D4C22×D5911yescharacteristic
1098C22×D4C22×D5911yescharacteristic
1099C23×C4—42no—
1100C23×C4—42no—
1101C23×C4—42no—
1102C23×C4—591no—
1103C23×C4—591no—
1104C23×C4—591no—
1105C23×C4—591no—
1106C23×C4—591no—
1107C23×C4—591no—
1108C23×C4C22×D5911yescharacteristic
1109C23×C4C22×D5911yescharacteristic
1110C23×C4C22×D5911yescharacteristic
1111C23×C4C22×D5911yescharacteristic
1112C23×C4C22×D5911yescharacteristic
1113C23×C4C22×D5911yescharacteristic
1114#127—2362no—
1115#127—2362no—
1116#123—42no—
1117#123—42no—
1118#123—2362no—
1119#123—2362no—
1120#121—1184no—
1121#121—2362no—
1122#121—2362no—
1123#121—2362no—
1124#121—2362no—
1125#121—2362no—
1126#121—2362no—
1127#121—2362no—
1128#121—2362no—
1129#120—42no—
1130#120—2362no—
1131#120—2362no—
1132#120—2362no—
1133#120—2362no—
1134#120—2362no—
1135C4×D4—1184no—
1136C4×D4—2362no—
1137C4×D4—2362no—
1138C2×C4⋊C4—591no—
1139C2×C4⋊C4—591no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—591no—
1142C2×C4⋊C4—591no—
1143C2×C4⋊C4—591no—
1144C2×C4⋊C4—591no—
1145C2×C4⋊C4—591no—
1146C2×C4⋊C4—591no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
1151C2×C4⋊C4—591no—
1152C2×C4⋊C4—591no—
1153C2×C4⋊C4—591no—
1154C2×C4⋊C4C22×D5911yescharacteristic
1155C2×C4⋊C4C22×D5911yescharacteristic
1156C2×C4⋊C4C22×D5911yescharacteristic
1157C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—2362no—
1204C2×C22⋊C4—2362no—
1205C2×C22⋊C4—2362no—
1206C2×C22⋊C4C22×D5911yescharacteristic
1207C2×C22⋊C4C22×D5911yescharacteristic
1208C2×C22⋊C4C22×D5911yescharacteristic
1209C2×C22⋊C4C22×D5911yescharacteristic
1210C2×C22⋊C4C22×D5911yescharacteristic
1211C2×C22⋊C4C22×D5911yescharacteristic
1212C2×C22⋊C4C22×D5911yescharacteristic
1213C2×C22⋊C4C22×D5911yescharacteristic
1214C2×C22⋊C4C22×D5911yescharacteristic
1215C2×C22⋊C4C22×D5911yescharacteristic
1216C2×C22⋊C4C22×D5911yescharacteristic
1217C2×C22⋊C4C22×D5911yescharacteristic
1218C2×C22⋊C4C22×D5911yescharacteristic
1219C2×C42—591no—
1220C2×C42—591no—
1221C2×C42—591no—
1222C2×C42—591no—
1223C2×C42—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95C22×D5911yescharacteristic
1253#95C22×D5911yescharacteristic
1254#95C22×D5911yescharacteristic
1255#95C22×D5911yescharacteristic
1256#95C22×D5911yescharacteristic
1257#95C22×D5911yescharacteristic
1258#95C22×D5911yescharacteristic
1259#95C22×D5911yescharacteristic
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—41no—
1266C24—41no—
1267C24—591no—
1268C24—591no—
1269C24—591no—
1270C24—591no—
1271C24—1182no—
1272C24—1182no—
1273C24—1182no—
1274C24—2361no—
1275C24—2361no—
1276C24—2361no—
1277C24—2361no—
1278C24C23×D5911yescharacteristic
1279C24C23×D5911yescharacteristic
1280C24C23×D5911yescharacteristic
1281C24C23×D5911yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—1182no—
1292C2×D4—1182no—
1293C2×D4—1182no—
1294C2×D4—1182no—
1295C2×D4—1182no—
1296C2×D4—1182no—
1297C2×D4—1182no—
1298C2×D4—1182no—
1299C2×D4—1182no—
1300C2×D4—1182no—
1301C2×D4—1182no—
1302C2×D4—1182no—
1303C2×D4—1182no—
1304C2×D4—1182no—
1305C2×D4—1182no—
1306C2×D4—1182no—
1307C2×D4—1182no—
1308C2×D4—1182no—
1309C2×D4—1182no—
1310C2×D4—1182no—
1311C2×D4—2361no—
1312C2×D4—2361no—
1313C2×D4—2361no—
1314C2×D4—2361no—
1315C2×D4—2361no—
1316C2×D4—2361no—
1317C2×D4—2361no—
1318C2×D4—2361no—
1319C2×D4—2361no—
1320C2×D4—2361no—
1321C2×D4—2361no—
1322C2×D4—2361no—
1323C2×D4—2361no—
1324C2×D4—2361no—
1325C2×D4—2361no—
1326C2×D4—2361no—
1327C2×D4—2361no—
1328C2×D4—2361no—
1329C2×D4—2361no—
1330C2×D4—2361no—
1331C2×D4—2361no—
1332C2×D4—2361no—
1333C2×D4—2361no—
1334C2×D4—2361no—
1335C2×D4—2361no—
1336C2×D4—2361no—
1337C2×D4—2361no—
1338C2×D4—2361no—
1339C2×D4—2361no—
1340C2×D4—2361no—
1341C2×D4—2361no—
1342C2×D4—2361no—
1343C2×D4—2361no—
1344C2×D4—2361no—
1345C2×D4—2361no—
1346C2×D4—2361no—
1347C2×D4—2361no—
1348C2×D4—23616no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—416no—
1368C22×C4—591no—
1369C22×C4—591no—
1370C22×C4—594no—
1371C22×C4—591no—
1372C22×C4—591no—
1373C22×C4—591no—
1374C22×C4—591no—
1375C22×C4—591no—
1376C22×C4—591no—
1377C22×C4—591no—
1378C22×C4—591no—
1379C22×C4—591no—
1380C22×C4—591no—
1381C22×C4—1182no—
1382C22×C4—1182no—
1383C22×C4—1182no—
1384C22×C4—2361no—
1385C22×C4—2361no—
1386C22×C4—2361no—
1387C22×C4—2361no—
1388C22×C4—2361no—
1389C22×C4—2361no—
1390C22×C4—2361no—
1391C22×C4—2361no—
1392C22×C4—2361no—
1393C22×C4—2361no—
1394C22×C4—2361no—
1395C22×C4—2361no—
1396C22×C4—2361no—
1397C22×C4—2361no—
1398C22×C4C23×D5911yescharacteristic
1399C22×C4C23×D5911yescharacteristic
1400C22×C4C23×D5911yescharacteristic
1401C22×C4C23×D5911yescharacteristic
1402C22×C4C23×D5911yescharacteristic
1403C22×C4C23×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405C22×C4C23×D5911yescharacteristic
1406C22×C4C23×D5911yescharacteristic
1407C22×C4C23×D5911yescharacteristic
1408C22×C4C23×D5911yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—1182no—
1414C4⋊C4—1182no—
1415C4⋊C4—1182no—
1416C4⋊C4—2361no—
1417C4⋊C4—2361no—
1418C4⋊C4—2361no—
1419C4⋊C4—2361no—
1420C4⋊C4—2361no—
1421C4⋊C4—2361no—
1422C4⋊C4—2361no—
1423C4⋊C4—2361no—
1424C4⋊C4—2361no—
1425C4⋊C4—2361no—
1426C4⋊C4—2361no—
1427C4⋊C4—2361no—
1428C4⋊C4—2361no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—1182no—
1443C22⋊C4—1182no—
1444C22⋊C4—1182no—
1445C22⋊C4—1182no—
1446C22⋊C4—1182no—
1447C22⋊C4—1182no—
1448C22⋊C4—1182no—
1449C22⋊C4—1182no—
1450C22⋊C4—1182no—
1451C22⋊C4—2361no—
1452C22⋊C4—2361no—
1453C22⋊C4—2361no—
1454C22⋊C4—2361no—
1455C22⋊C4—2361no—
1456C22⋊C4—2361no—
1457C22⋊C4—2361no—
1458C22⋊C4—2361no—
1459C22⋊C4—2361no—
1460C22⋊C4—2361no—
1461C22⋊C4—2361no—
1462C22⋊C4—2361no—
1463C22⋊C4—2361no—
1464C22⋊C4—2361no—
1465C22⋊C4—2361no—
1466C22⋊C4—2361no—
1467C22⋊C4—2361no—
1468C22⋊C4—2361no—
1469C22⋊C4—2361no—
1470C22⋊C4—2361no—
1471C22⋊C4—2361no—
1472C22⋊C4—2361no—
1473C22⋊C4—2361no—
1474C22⋊C4—2361no—
1475C22⋊C4—2361no—
1476C22⋊C4—2361no—
1477C22⋊C4—2361no—
1478C22⋊C4—2361no—
1479C22⋊C4—2361no—
1480C22⋊C4—2361no—
1481C22⋊C4—2361no—
1482C22⋊C4—2361no—
1483C22⋊C4—2361no—
1484C22⋊C4—2361no—
1485C22⋊C4—2361no—
1486C22⋊C4—2361no—
1487C42—1182no—
1488C42—2361no—
1489C42—2361no—
1490C42—2361no—
1491C42—2361no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—28no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—1181no—
1523C23—1181no—
1524C23—1181no—
1525C23—1181no—
1526C23—1181no—
1527C23—1181no—
1528C23—1181no—
1529C23—1181no—
1530C23—1181no—
1531C23—1181no—
1532C23—1181no—
1533C23—1181no—
1534C23—1181no—
1535C23—1181no—
1536C23—1181no—
1537C23—1181no—
1538C23—1181no—
1539C23—1181no—
1540C23—1181no—
1541C23—1181no—
1542C23—1181no—
1543C23—1181no—
1544C23—1181no—
1545C23—1181no—
1546C23—1181no—
1547C23—1181no—
1548C23—1181no—
1549C23—1181no—
1550C23—4722no—
1551C23—4722no—
1552C23—4722no—
1553C23—4722no—
1554C23—2364no—
1555C23—2364no—
1556C23—2364no—
1557C23#41×D5912yes—
1558C23#1427377212yes—
1559C23#1427377212yes—
1560C23#1427377312yes—
1561C23#1427377312yes—
1562C23C24×D5911yescharacteristic
1563D4—44no—
1564D4—82no—
1565D4—82no—
1566D4—4722no—
1567D4—4722no—
1568D4—4722no—
1569D4—4722no—
1570D4—4722no—
1571D4—4722no—
1572D4—4722no—
1573D4—4722no—
1574D4—4722no—
1575D4—4722no—
1576D4—4722no—
1577D4—4722no—
1578D4—4722no—
1579D4—2364no—
1580D4—2364no—
1581D4—2364no—
1582D4—2364no—
1583D4—2364no—
1584D4—2364no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—592no—
1624C2×C4—592no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—1181no—
1653C2×C4—1181no—
1654C2×C4—1181no—
1655C2×C4—1181no—
1656C2×C4—1181no—
1657C2×C4—1181no—
1658C2×C4—1181no—
1659C2×C4—4722no—
1660C2×C4—4722no—
1661C2×C4—4722no—
1662C2×C4—4722no—
1663C2×C4—4722no—
1664C2×C4—2364no—
1665C2×C4#1427377212yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—416no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—4728no—
1695C22—2361no—
1696C22—2361no—
1697C22—2361no—
1698C22—2361no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22—2361no—
1708C22—2361no—
1709C22—2361no—
1710C22—2361no—
1711C22—2361no—
1712C22—2361no—
1713C22—2361no—
1714C22—2361no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22—2361no—
1719C22—2361no—
1720C22—2361no—
1721C22—2361no—
1722C22—2361no—
1723C22#1683800414yes—
1724C22C2×#41×D5911yescharacteristic
1725C22C2×#1427377211yescharacteristic
1726C22C2×#1427377211yescharacteristic
1727C22C2×#1427377211yescharacteristic
1728C22C2×#1427377311yescharacteristic
1729C22C2×#1427377311yescharacteristic
1730C22#1683823811yescharacteristic
1731C4—22no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—1182no—
1743C4—1182no—
1744C4—2361no—
1745C4—2361no—
1746C4—2361no—
1747C4—2361no—
1748C4—2361no—
1749C4—2361no—
1750C4—2361no—
1751C4—2361no—
1752C4—2361no—
1753C4—2361no—
1754C2—24no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—4721no—
1759C2—4721no—
1760C2—4721no—
1761C2—4721no—
1762C2C2×#1683800411yescharacteristic
1763C2#2143777911yescharacteristic
1764C2#2143793911yescharacteristic
1765C2#2143825111yescharacteristic
1766C2#2143828011yescharacteristic
1767C2#2143829011yescharacteristic
1768C2#2143833511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2849C2
hypercenter#2849D59
hypocenterC59#36794
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. #21432378C2semidirect
2. #21431957C2semidirect
3. #21431816C2semidirect
4. #21431421C2semidirect
5. #21431374C2semidirect
6. #21431360C2semidirect
7. #21431315C2semidirect
8. #21431196C2semidirect
9. #21430825C2semidirect
10. #21430824C2semidirect
11. #21430780C2semidirect
12. #21430733C2semidirect
13. #21430683C2semidirect
14. #21430529C2semidirect
15. #21430362C2semidirect
16. #21430360C2semidirect
17. #21430335C2semidirect
18. #21429874C2semidirect
19. #21429836C2semidirect
20. #21429322C2semidirect
21. #21429060C2semidirect
22. #21427731C2semidirect
23. #21427636C2semidirect
24. #21427630C2semidirect
25. #21427562C2semidirect
26. #21427556C2semidirect
27. #21427451C2semidirect
28. #21426797C2semidirect
29. #21426724C2semidirect
30. C2×#16837281C2semidirect
31. C59×#2849C2semidirect
35. C2×#14273711C22semidirect
36. C2×#14273709C22semidirect
37. C2×#14273702C22semidirect
39. C2×#14273701C22semidirect
40. C2×#14273701C22semidirect
45. C2×#14273699C22semidirect
57. #16837343C22semidirect
58. #16837340C22semidirect
59. #16837339C22semidirect
60. #16837338C22semidirect
61. #16837336C22semidirect
62. #16837336C22semidirect
63. #16837332C22semidirect
64. #16837331C22semidirect
65. #16837331C22semidirect
66. #16837331C22semidirect
67. #16837331C22semidirect
68. #16837331C22semidirect
69. #16837330C22semidirect
70. #16837329C22semidirect
71. #16837328C22semidirect
72. #16837328C22semidirect
73. #16837325C22semidirect
74. #16837324C22semidirect
75. #16837320C22semidirect
76. #16837320C22semidirect
77. #16837320C22semidirect
78. #16837320C22semidirect
79. #16837320C22semidirect
80. #16837319C22semidirect
81. #16837319C22semidirect
82. #16837319C22semidirect
83. #16837318C22semidirect
84. #16837318C22semidirect
85. #16837318C22semidirect
86. #16837318C22semidirect
89. #16837317C22semidirect
90. #16837317C22semidirect
91. #16837317C22semidirect
92. #16837317C22semidirect
93. #16837316C22semidirect
94. #16837312C22semidirect
99. #16837311C22semidirect
100. #16837311C22semidirect
101. #16837311C22semidirect
104. #16837310C22semidirect
105. #16837303C22semidirect
110. #16837302C22semidirect
111. #16837296C22semidirect
112. #16837296C22semidirect
113. #16837296C22semidirect
114. #16837295C22semidirect
115. #16837295C22semidirect
116. #16837294C22semidirect
117. #16837294C22semidirect
118. #16837294C22semidirect
119. #16837294C22semidirect
120. #16837292C22semidirect
121. #16837291C22semidirect
122. #16837291C22semidirect
123. #16837289C22semidirect
124. #16837289C22semidirect
125. #16837288C22semidirect
126. #16837287C22semidirect
127. #16837284C22semidirect
128. #16837284C22semidirect
129. #16837283C22semidirect
130. #16837283C22semidirect
131. #16837282C22semidirect
142. #16837281C22semidirect
143. #16837281C22semidirect
144. #16837281C22semidirect
145. #16837281C22semidirect
146. #16837280C22semidirect
147. #16837280C22semidirect
150. #16837279C22semidirect
151. #16837279C22semidirect
152. #16837278C22semidirect
153. #16837278C22semidirect
154. #16837278C22semidirect
156. #16837276C22semidirect
158. #16837274C22semidirect
159. #16837269C22semidirect
160. #16837267C22semidirect
161. #16837264C22semidirect
163. #16837262C22semidirect
164. #16837262C22semidirect
167. #16837259C22semidirect
173. C2×#123×C59C22semidirect
174. C2×#123×C59C22semidirect
178. C59×#386C22semidirect
179. C59×#386C22semidirect
182. C59×#385C22semidirect
183. C59×#385C22semidirect
184. C59×#381C22semidirect
185. C59×#381C22semidirect
870. #2849D59semidirect
922. C2×#123C2×D59semidirect
923. C2×#123C2×D59semidirect
1045. #386C2×D59semidirect
1046. #386C2×D59semidirect
1053. #385C2×D59semidirect
1054. #385C2×D59semidirect
1058. #381C2×D59semidirect
1059. #381C2×D59semidirect
1071. C59#36794semidirect

Maximal subgroups

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

subgroupindex
#214323782
#214319572
#214318162
#214314212
#214313742
#214313602
#214313152
#214311962
#214308252
#214308242
#214307802
#214307332
#214306832
#214305292
#214303622
#214303602
#214303352
#214298742
#214298362
#214293222
#214290602
#214277312
#214276362
#214276302
#214275622
#214275562
#214274512
#214267972
#214267242
C2×#168372812
C59×#28492
#3679459