Finite Group Databasebeta

← #28797587

Subgroups — #28797587

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#21432387C211yesmaximal, characteristic, complemented
2#21432377C211yesmaximal, characteristic, complemented
3#21431949C211yesmaximal, characteristic, complemented
4#21431805C211yesmaximal, characteristic, complemented
5#21431420C211yesmaximal, characteristic, complemented
6#21431367C211yesmaximal, characteristic, complemented
7#21431362C211yesmaximal, characteristic, complemented
8#21431326C211yesmaximal, characteristic, complemented
9#21431201C211yesmaximal, characteristic, complemented
10#21430824C211yesmaximal, characteristic, complemented
11#21430824C211yesmaximal, characteristic, complemented
12#21430785C211yesmaximal, characteristic, complemented
13#21430743C211yesmaximal, characteristic, complemented
14#21430683C211yesmaximal, characteristic, complemented
15#21430367C211yesmaximal, characteristic, complemented
16#21430358C211yesmaximal, characteristic, complemented
17#21430327C211yesmaximal, characteristic, complemented
18#21429870C211yesmaximal, characteristic, complemented
19#21429829C211yesmaximal, characteristic, complemented
20#21429316C211yesmaximal, characteristic, complemented
21#21429055C211yesmaximal, characteristic, complemented
22#21427728C211yesmaximal, characteristic, complemented
23#21427629C211yesmaximal, characteristic, complemented
24#21427625C211yesmaximal, characteristic, complemented
25#21427559C211yesmaximal, characteristic, complemented
26#21427557C211yesmaximal, characteristic, complemented
27#21427448C211yesmaximal, characteristic, complemented
28#21426793C211yesmaximal, characteristic, complemented
29#21426725C211yesmaximal, characteristic, complemented
30#386×D59C211yesmaximal, characteristic, complemented
31C59×#2688C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273723C2211yescharacteristic
35C2×#14273723C2211yescharacteristic
36C2×#14273710C2211yescharacteristic, complemented
37C2×#14273709C2211yescharacteristic, complemented
38C2×#14273709C2211yescharacteristic, complemented
39C2×#14273709C2211yescharacteristic, complemented
40C2×#14273701C2211yescharacteristic
41C2×#14273700C2211yescharacteristic
42C2×#14273700C2211yescharacteristic
43C2×#14273700C2211yescharacteristic, complemented
44C2×#14273699C2211yescharacteristic, complemented
45C2×#14273698C2211yescharacteristic
46C2×#14273698C2211yescharacteristic, complemented
47C2×#14273697C2211yescharacteristic
48C2×#14273697C2211yescharacteristic
49C2×#14273695C2211yescharacteristic
50C2×#14273695C2211yescharacteristic
51C2×#14273695C2211yescharacteristic
52C2×#14273695C2211yescharacteristic
53C2×#14273689C2211yescharacteristic
54C2×C4×C22⋊D59C2211yescharacteristic
55C2×C4×C22⋊D59C2211yescharacteristic
56C2×C22⋊C4×D59C2211yescharacteristic
57C2×C22⋊C4×D59C2211yescharacteristic
58C2×C22⋊C4×D59C2211yescharacteristic
59#16837344C2211yescharacteristic, complemented
60#16837338C2211yescharacteristic, complemented
61#16837337C2211yescharacteristic, complemented
62#16837336C2211yescharacteristic, complemented
63#16837336C2211yescharacteristic, complemented
64#16837335C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837330C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837329C2211yescharacteristic, complemented
70#16837329C2211yescharacteristic, complemented
71#16837327C2211yescharacteristic, complemented
72#16837324C2211yescharacteristic, complemented
73#16837324C2211yescharacteristic, complemented
74#16837320C2211yescharacteristic, complemented
75#16837320C2211yescharacteristic, complemented
76#16837319C2211yescharacteristic, complemented
77#16837318C2211yescharacteristic, complemented
78#16837318C2211yescharacteristic, complemented
79#16837317C2211yescharacteristic
80#16837317C2211yescharacteristic
81#16837317C2211yescharacteristic, complemented
82#16837317C2211yescharacteristic, complemented
83#16837317C2211yescharacteristic, complemented
84#16837317C2211yescharacteristic, complemented
85#16837317C2211yescharacteristic, complemented
86#16837317C2211yescharacteristic, complemented
87#16837316C2211yescharacteristic, complemented
88#16837316C2211yescharacteristic, complemented
89#16837316C2211yescharacteristic, complemented
90#16837316C2211yescharacteristic, complemented
91#16837316C2211yescharacteristic, complemented
92#16837312C2211yescharacteristic
93#16837311C2211yescharacteristic
94#16837311C2211yescharacteristic, complemented
95#16837310C2211yescharacteristic
96#16837310C2211yescharacteristic
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic, complemented
99#16837310C2211yescharacteristic, complemented
100#16837310C2211yescharacteristic, complemented
101#16837305C2211yescharacteristic
102#16837303C2211yescharacteristic
103#16837302C2211yescharacteristic
104#16837302C2211yescharacteristic
105#16837302C2211yescharacteristic, complemented
106#16837302C2211yescharacteristic, complemented
107#16837296C2211yescharacteristic, complemented
108#16837296C2211yescharacteristic, complemented
109#16837295C2211yescharacteristic, complemented
110#16837295C2211yescharacteristic, complemented
111#16837294C2211yescharacteristic, complemented
112#16837294C2211yescharacteristic, complemented
113#16837294C2211yescharacteristic, complemented
114#16837291C2211yescharacteristic, complemented
115#16837290C2211yescharacteristic, complemented
116#16837290C2211yescharacteristic, complemented
117#16837290C2211yescharacteristic, complemented
118#16837290C2211yescharacteristic, complemented
119#16837289C2211yescharacteristic, complemented
120#16837289C2211yescharacteristic, complemented
121#16837287C2211yescharacteristic, complemented
122#16837284C2211yescharacteristic, complemented
123#16837284C2211yescharacteristic, complemented
124#16837284C2211yescharacteristic, complemented
125#16837283C2211yescharacteristic, complemented
126#16837283C2211yescharacteristic, complemented
127#16837282C2211yescharacteristic
128#16837282C2211yescharacteristic, complemented
129#16837281C2211yescharacteristic
130#16837281C2211yescharacteristic, complemented
131#16837281C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic, complemented
133#16837281C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic
137#16837280C2211yescharacteristic
138#16837280C2211yescharacteristic, complemented
139#16837280C2211yescharacteristic, complemented
140#16837280C2211yescharacteristic, complemented
141#16837279C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic
146#16837278C2211yescharacteristic
147#16837278C2211yescharacteristic
148#16837278C2211yescharacteristic, complemented
149#16837278C2211yescharacteristic, complemented
150#16837277C2211yescharacteristic, complemented
151#16837276C2211yescharacteristic
152#16837276C2211yescharacteristic
153#16837276C2211yescharacteristic
154#16837275C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic
156#16837273C2211yescharacteristic, complemented
157#16837269C2211yescharacteristic, complemented
158#16837266C2211yescharacteristic, complemented
159#16837264C2211yescharacteristic, complemented
160#16837264C2211yescharacteristic, complemented
161#16837262C2211yescharacteristic, complemented
162#16837261C2211yescharacteristic
163#16837261C2211yescharacteristic
164#16837261C2211yescharacteristic, complemented
165#16837260C2211yescharacteristic, complemented
166#16837259C2211yescharacteristic
167#16837257C2211yescharacteristic
168#16837257C2211yescharacteristic
169#16837249C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C2×#121×C59C2211yescharacteristic
173C2×#121×C59C2211yescharacteristic, complemented
174C59×#400C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic, complemented
176C59×#397C2211yescharacteristic, complemented
177C59×#394C2211yescharacteristic, complemented
178C59×#392C2211yescharacteristic
179C59×#392C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C59×#385C2211yescharacteristic, complemented
186C59×#381C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
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
205C2×D4×D59—24no—
206C2×D4×D59—42no—
207C2×D4×D59—42no—
208C23×Dic59C2311yescharacteristic
209C22×C4×D59—42no—
210C22×C4×D59—42no—
211C22×C4×D59—42no—
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220#14273723—42no—
221#14273723—42no—
222#14273710—42no—
223#14273709—42no—
224#14273709—42no—
225#14273709—42no—
226#14273701—42no—
227#14273700—24no—
228#14273700—42no—
229#14273700—42no—
230#14273699—42no—
231#14273698—42no—
232#14273698—42no—
233#14273697—42no—
234#14273697—42no—
235#14273695—42no—
236#14273695—42no—
237#14273695—42no—
238#14273695—42no—
239#14273689—42no—
240C4×C22⋊D59—24no—
241C4×C22⋊D59—42no—
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C22⋊C4×D59—42no—
305C22⋊C4×D59—42no—
306C22⋊C4×D59—42no—
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
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
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C22×D4×C59C2311yescharacteristic
339C22×D4×C59C2311yescharacteristic
340C22×D4×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C22×D4×C59C2311yescharacteristic
343C22×D4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346C23×C4×C59C2311yescharacteristic
347#121×C59—42no—
348#121×C59—42no—
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×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×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×C59C2411yescharacteristic
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—22no—
382C23×D59—22no—
383C23×D59—22no—
384C23×D59—22no—
385C23×D59—22no—
386C23×D59—22no—
387C23×D59—41no—
388C23×D59—41no—
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—41no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C22×C4×C59—22no—
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×C59C2411yescharacteristic
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
435C2×C22⋊D59—22no—
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—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59—41no—
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—
471C22×Dic59—22no—
472C22×Dic59—41no—
473C22×Dic59—41no—
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486D4×D59—416no—
487C2×D236—22no—
488C2×D236—22no—
489C2×D236—22no—
490C2×D236—22no—
491C2×D236—22no—
492C2×D236—22no—
493C2×D236—41no—
494C2×D236—41no—
495C2×D236—41no—
496C2×D236—41no—
497C2×D236—41no—
498C2×D236—41no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
501C2×C4×D59—22no—
502C2×C4×D59—22no—
503C2×C4×D59—22no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—41no—
508C2×C4×D59—41no—
509C2×C4×D59—41no—
510C2×C4×D59—41no—
511C2×C4×D59—41no—
512C2×C4×D59—41no—
513C2×C4×D59—41no—
514C2×C4×D59—41no—
515C2×C4×D59—416no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59—41no—
520C2×C4×D59—41no—
521C2×C4×D59—41no—
522C2×C4×D59—41no—
523C2×C4×D59#4114yes—
524C4⋊C4×C59—41no—
525C4⋊C4×C59—41no—
526C4⋊C4×C59—41no—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—41no—
531C22⋊C4×C59—41no—
532C22⋊C4×C59—41no—
533C22⋊C4×C59—41no—
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⋊Dic59—22no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—41no—
545C22⋊Dic59—41no—
546C22⋊Dic59—41no—
547C22⋊Dic59—41no—
548C22⋊Dic59—41no—
549C22⋊Dic59—41no—
550C22⋊Dic59—41no—
551C22⋊Dic59—41no—
552C22⋊Dic59—41no—
553C22⋊Dic59—41no—
554C22⋊Dic59—41no—
555C22⋊Dic59—41no—
556C22⋊Dic59—41no—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—22no—
559(C2×D59)⋊C4—22no—
560(C2×D59)⋊C4—22no—
561(C2×D59)⋊C4—22no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
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—
585C4⋊Dic59—22no—
586C4⋊Dic59—41no—
587C4⋊Dic59—41no—
588C4⋊Dic59—41no—
589C4⋊Dic59—41no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593Dic59⋊C4—41no—
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—21no—
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—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59H(5,𝔽2)12yes—
635C23×C59C2511yescharacteristic
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—28no—
641C22×D59—21no—
642C22×D59—21no—
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—44no—
662C22×D59—44no—
663C22×D59—44no—
664C22×D59—44no—
665C22×D59—44no—
666C22×D59—44no—
667C22×D59—44no—
668C22×D59—44no—
669C22×D59—44no—
670C22×D59—82no—
671C22×D59—82no—
672C22×D59—82no—
673C22×D59—82no—
674C22×D59C2×#4112yes—
675C22×D59H(5,𝔽2)12yes—
676C22×D59H(5,𝔽2)12yes—
677C22×D59H(5,𝔽2)12yes—
678D4×C59—44no—
679D4×C59—82no—
680D4×C59—82no—
681D4×C59—82no—
682D4×C59—82no—
683D4×C59—82no—
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—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—44no—
717C2×C4×C59—82no—
718C2×C4×C59—82no—
719C2×C4×C59C2×#4112yes—
720C22⋊D59—44no—
721C22⋊D59—44no—
722C22⋊D59—44no—
723C22⋊D59—44no—
724C22⋊D59—82no—
725C22⋊D59—82no—
726C22⋊D59—82no—
727C22⋊D59—82no—
728C22⋊D59—82no—
729C22⋊D59—82no—
730C22⋊D59—82no—
731C22⋊D59—82no—
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—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—44no—
767C2×Dic59C2×#4112yes—
768C2×Dic59H(5,𝔽2)12yes—
769D236—44no—
770D236—44no—
771D236—82no—
772D236—82no—
773C4×D59—44no—
774C4×D59—44no—
775C4×D59—44no—
776C4×D59—44no—
777C4×D59—44no—
778C4×D59—82no—
779C4×D59—82no—
780C4×D59—82no—
781#36794—591nomaximal, Sylow
782C22×C59—22no—
783C22×C59—22no—
784C22×C59—22no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59—41no—
793C22×C59—41no—
794C22×C59—41no—
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×C59C22×#4111yescharacteristic
811C22×C59C2×H(5,𝔽2)11yescharacteristic
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×C59#58511yescharacteristic
817C2×D59—22no—
818C2×D59—22no—
819C2×D59—22no—
820C2×D59—22no—
821C2×D59—22no—
822C2×D59—22no—
823C2×D59—22no—
824C2×D59—22no—
825C2×D59—22no—
826C2×D59—416no—
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—88no—
846C2×D59#54014yes—
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#2849—591no—
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#2688D5911yescharacteristic, complemented
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—42no—
902C2×C59—81no—
903C2×C59—81no—
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—24no—
913D59—42no—
914D59—81no—
915D59—81no—
916C23×D4—591no—
917C24×C4—591no—
918C2×#127—591no—
919C2×#127—591no—
920C2×#123—591no—
921C2×#123—591no—
922C2×#123—591no—
923C2×#123—591no—
924C2×#121—591no—
925C2×#121—591no—
926C2×#121—591no—
927C2×#121—591no—
928C2×#121—591no—
929C2×#121—591no—
930C2×#121—591no—
931C2×#121C2×D5911yescharacteristic
932C2×#121C2×D5911yescharacteristic, complemented
933C2×#120—591no—
934C2×#120—591no—
935C2×#120—591no—
936C2×#120—591no—
937C2×#120—591no—
938C2×#120—591no—
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#400C2×D5911yescharacteristic, complemented
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#397C2×D5911yescharacteristic, complemented
960#397C2×D5911yescharacteristic, complemented
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#394C2×D5911yescharacteristic, complemented
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#392C2×D5911yescharacteristic
992#392C2×D5911yescharacteristic, complemented
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#386C2×D5911yescharacteristic
1043#386C2×D5911yescharacteristic, complemented
1044#386C2×D5911yescharacteristic, complemented
1045#386C2×D5911yescharacteristic, complemented
1046#386C2×D5911yescharacteristic, complemented
1047#385—591no—
1048#385—591no—
1049#385—591no—
1050#385—591no—
1051#385—591no—
1052#385—591no—
1053#385—591no—
1054#385C2×D5911yescharacteristic, complemented
1055#383—591no—
1056#382—591no—
1057#381—591no—
1058#381—591no—
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#379—591no—
1068C4×C22⋊C4—591no—
1069C2×#95—591no—
1070C2×#95—591no—
1071C59#3679411yescharacteristic, complemented, Sylow
1072C25—591no—
1073C25—591no—
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—1184no—
1091C22×D4—2362no—
1092C22×D4—2362no—
1093C22×D4C22×D5911yescharacteristic
1094C22×D4C22×D5911yescharacteristic
1095C22×D4C22×D5911yescharacteristic
1096C22×D4C22×D5911yescharacteristic
1097C22×D4C22×D5911yescharacteristic
1098C22×D4C22×D5911yescharacteristic
1099C23×C4—591no—
1100C23×C4—591no—
1101C23×C4—591no—
1102C23×C4—591no—
1103C23×C4—591no—
1104C23×C4—591no—
1105C23×C4—591no—
1106C23×C4—591no—
1107C23×C4—591no—
1108C23×C4—2362no—
1109C23×C4—2362no—
1110C23×C4—2362no—
1111C23×C4C22×D5911yescharacteristic
1112C23×C4C22×D5911yescharacteristic
1113C23×C4C22×D5911yescharacteristic
1114#127—2362no—
1115#127—2362no—
1116#123—2362no—
1117#123—2362no—
1118#123—2362no—
1119#123—2362no—
1120#121—42no—
1121#121—42no—
1122#121—1184no—
1123#121—2362no—
1124#121—2362no—
1125#121—2362no—
1126#121—2362no—
1127#121—2362no—
1128#121—2362no—
1129#120—2362no—
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⋊C4—591no—
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#95C22×D5911yescharacteristic
1251#95C22×D5911yescharacteristic
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—591no—
1261C24—591no—
1262C24—591no—
1263C24—591no—
1264C24—1182no—
1265C24—1182no—
1266C24—1182no—
1267C24—1182no—
1268C24—1182no—
1269C24—1182no—
1270C24—1182no—
1271C24—1182no—
1272C24—2361no—
1273C24—2361no—
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—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
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—1182no—
1312C2×D4—1182no—
1313C2×D4—1182no—
1314C2×D4—1182no—
1315C2×D4—1182no—
1316C2×D4—1182no—
1317C2×D4—1182no—
1318C2×D4—1182no—
1319C2×D4—1182no—
1320C2×D4—1182no—
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—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—591no—
1359C22×C4—591no—
1360C22×C4—594no—
1361C22×C4—591no—
1362C22×C4—591no—
1363C22×C4—591no—
1364C22×C4—591no—
1365C22×C4—591no—
1366C22×C4—591no—
1367C22×C4—591no—
1368C22×C4—591no—
1369C22×C4—591no—
1370C22×C4—591no—
1371C22×C4—1182no—
1372C22×C4—1182no—
1373C22×C4—1182no—
1374C22×C4—1182no—
1375C22×C4—1182no—
1376C22×C4—1182no—
1377C22×C4—1182no—
1378C22×C4—1182no—
1379C22×C4—1182no—
1380C22×C4—2361no—
1381C22×C4—2361no—
1382C22×C4—2361no—
1383C22×C4—2361no—
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—23616no—
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—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—1182no—
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—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
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—1182no—
1452C22⋊C4—1182no—
1453C22⋊C4—1182no—
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—21no—
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—21no—
1517C23—21no—
1518C23—21no—
1519C23—592no—
1520C23—592no—
1521C23—592no—
1522C23—592no—
1523C23—1188no—
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—4722no—
1549C23—4722no—
1550C23—4722no—
1551C23—4722no—
1552C23—2364no—
1553C23—2364no—
1554C23—2364no—
1555C23—2364no—
1556C23—2364no—
1557C23—2364no—
1558C23—2364no—
1559C23—2364no—
1560C23—2364no—
1561C23#1427377212yes—
1562C23C24×D5911yescharacteristic
1563D4—44no—
1564D4—82no—
1565D4—82no—
1566D4—82no—
1567D4—82no—
1568D4—82no—
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—82no—
1619C2×C4—82no—
1620C2×C4—592no—
1621C2×C4—592no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
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—4722no—
1657C2×C4—4722no—
1658C2×C4—4722no—
1659C2×C4—2364no—
1660C2×C4—2364no—
1661C2×C4—2364no—
1662C2×C4—2364no—
1663C2×C4—2364no—
1664C2×C4—2364no—
1665C2×C4#41×D5912yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
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—594no—
1695C22—1182no—
1696C22—1182no—
1697C22—1182no—
1698C22—1182no—
1699C22—1182no—
1700C22—1182no—
1701C22—1182no—
1702C22—1182no—
1703C22—1182no—
1704C22—4728no—
1705C22—23616no—
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—2361no—
1724C22C2×#41×D5911yescharacteristic
1725C22H(5,𝔽2)×D5911yescharacteristic
1726C22H(5,𝔽2)×D5911yescharacteristic
1727C22H(5,𝔽2)×D5911yescharacteristic
1728C22H(5,𝔽2)×D5911yescharacteristic
1729C22C2×#1427377211yescharacteristic
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—42no—
1755C2—81no—
1756C2—81no—
1757C2—81no—
1758C2—1184no—
1759C2—4721no—
1760C2—4721no—
1761C2—2362no—
1762C2#540×D5911yescharacteristic
1763C2#2143777811yescharacteristic
1764C2#2143794211yescharacteristic
1765C2#2143824911yescharacteristic
1766C2#2143828111yescharacteristic
1767C2#2143828511yescharacteristic
1768C2#2143833311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2688C2
hypercenter#2688D59
hypocenterC59#36794
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2688

Complements

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

NH ≅ G/Ntype
1. #21432387C2semidirect
2. #21432377C2semidirect
3. #21431949C2semidirect
4. #21431805C2semidirect
5. #21431420C2semidirect
6. #21431367C2semidirect
7. #21431362C2semidirect
8. #21431326C2semidirect
9. #21431201C2semidirect
10. #21430824C2semidirect
11. #21430824C2semidirect
12. #21430785C2semidirect
13. #21430743C2semidirect
14. #21430683C2semidirect
15. #21430367C2semidirect
16. #21430358C2semidirect
17. #21430327C2semidirect
18. #21429870C2semidirect
19. #21429829C2semidirect
20. #21429316C2semidirect
21. #21429055C2semidirect
22. #21427728C2semidirect
23. #21427629C2semidirect
24. #21427625C2semidirect
25. #21427559C2semidirect
26. #21427557C2semidirect
27. #21427448C2semidirect
28. #21426793C2semidirect
29. #21426725C2semidirect
30. #386×D59C2semidirect
31. C59×#2688C2semidirect
36. C2×#14273710C22semidirect
37. C2×#14273709C22semidirect
38. C2×#14273709C22semidirect
39. C2×#14273709C22semidirect
43. C2×#14273700C22semidirect
44. C2×#14273699C22semidirect
46. C2×#14273698C22semidirect
59. #16837344C22semidirect
60. #16837338C22semidirect
61. #16837337C22semidirect
62. #16837336C22semidirect
63. #16837336C22semidirect
64. #16837335C22semidirect
65. #16837331C22semidirect
66. #16837331C22semidirect
67. #16837330C22semidirect
68. #16837330C22semidirect
69. #16837329C22semidirect
70. #16837329C22semidirect
71. #16837327C22semidirect
72. #16837324C22semidirect
73. #16837324C22semidirect
74. #16837320C22semidirect
75. #16837320C22semidirect
76. #16837319C22semidirect
77. #16837318C22semidirect
78. #16837318C22semidirect
81. #16837317C22semidirect
82. #16837317C22semidirect
83. #16837317C22semidirect
84. #16837317C22semidirect
85. #16837317C22semidirect
86. #16837317C22semidirect
87. #16837316C22semidirect
88. #16837316C22semidirect
89. #16837316C22semidirect
90. #16837316C22semidirect
91. #16837316C22semidirect
94. #16837311C22semidirect
98. #16837310C22semidirect
99. #16837310C22semidirect
100. #16837310C22semidirect
105. #16837302C22semidirect
106. #16837302C22semidirect
107. #16837296C22semidirect
108. #16837296C22semidirect
109. #16837295C22semidirect
110. #16837295C22semidirect
111. #16837294C22semidirect
112. #16837294C22semidirect
113. #16837294C22semidirect
114. #16837291C22semidirect
115. #16837290C22semidirect
116. #16837290C22semidirect
117. #16837290C22semidirect
118. #16837290C22semidirect
119. #16837289C22semidirect
120. #16837289C22semidirect
121. #16837287C22semidirect
122. #16837284C22semidirect
123. #16837284C22semidirect
124. #16837284C22semidirect
125. #16837283C22semidirect
126. #16837283C22semidirect
128. #16837282C22semidirect
130. #16837281C22semidirect
131. #16837281C22semidirect
132. #16837281C22semidirect
133. #16837281C22semidirect
138. #16837280C22semidirect
139. #16837280C22semidirect
140. #16837280C22semidirect
148. #16837278C22semidirect
149. #16837278C22semidirect
150. #16837277C22semidirect
154. #16837275C22semidirect
156. #16837273C22semidirect
157. #16837269C22semidirect
158. #16837266C22semidirect
159. #16837264C22semidirect
160. #16837264C22semidirect
161. #16837262C22semidirect
164. #16837261C22semidirect
165. #16837260C22semidirect
173. C2×#121×C59C22semidirect
174. C59×#400C22semidirect
175. C59×#397C22semidirect
176. C59×#397C22semidirect
177. C59×#394C22semidirect
179. C59×#392C22semidirect
181. C59×#386C22semidirect
182. C59×#386C22semidirect
183. C59×#386C22semidirect
184. C59×#386C22semidirect
185. C59×#385C22semidirect
186. C59×#381C22semidirect
884. #2688D59semidirect
932. C2×#121C2×D59semidirect
946. #400C2×D59semidirect
959. #397C2×D59semidirect
960. #397C2×D59semidirect
981. #394C2×D59semidirect
992. #392C2×D59semidirect
1043. #386C2×D59semidirect
1044. #386C2×D59semidirect
1045. #386C2×D59semidirect
1046. #386C2×D59semidirect
1054. #385C2×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
#214323872
#214323772
#214319492
#214318052
#214314202
#214313672
#214313622
#214313262
#214312012
#214308242
#214307852
#214307432
#214306832
#214303672
#214303582
#214303272
#214298702
#214298292
#214293162
#214290552
#214277282
#214276292
#214276252
#214275592
#214275572
#214274482
#214267932
#214267252
#386×D592
C59×#26882
#3679459