Finite Group Databasebeta

← D59×#2653 #28755176

Subgroups — D59×#2653 #28755176

Order 15104.

2394 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21430166C211yesmaximal, characteristic, complemented
2#21430165C211yesmaximal, characteristic, complemented
3#21430164C211yesmaximal, characteristic, complemented
4#21430163C211yesmaximal, characteristic, complemented
5#21430162C211yesmaximal, characteristic, complemented
6#21430161C211yesmaximal, characteristic, complemented
7#21430160C211yesmaximal, characteristic, complemented
8#21430159C211yesmaximal, characteristic, complemented
9#21430158C211yesmaximal, characteristic, complemented
10#21430157C211yesmaximal, characteristic, complemented
11#21430156C211yesmaximal, characteristic, complemented
12#21430155C211yesmaximal, characteristic, complemented
13#21430154C211yesmaximal, characteristic, complemented
14#21430153C211yesmaximal, characteristic, complemented
15#21430152C211yesmaximal, characteristic, complemented
16#401×D59C211yesmaximal, characteristic, complemented
17#398×D59C211yesmaximal, characteristic, complemented
18#397×D59C211yesmaximal, characteristic, complemented
19#397×D59C211yesmaximal, characteristic, complemented
20#394×D59C211yesmaximal, characteristic
21#394×D59C211yesmaximal, characteristic
22#393×D59C211yesmaximal, characteristic, complemented
23#393×D59C211yesmaximal, characteristic, complemented
24#391×D59C211yesmaximal, characteristic, complemented
25#388×D59C211yesmaximal, characteristic, complemented
26#388×D59C211yesmaximal, characteristic, complemented
27#387×D59C211yesmaximal, characteristic, complemented
28#386×D59C211yesmaximal, characteristic
29#385×D59C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2653C211yesmaximal, characteristic, complemented
32C22×Q8×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35C2×C4⋊C4×D59C2211yescharacteristic
36C2×C4⋊C4×D59C2211yescharacteristic
37C2×C4⋊C4×D59C2211yescharacteristic
38C2×C4⋊C4×D59C2211yescharacteristic
39C2×C4⋊C4×D59C2211yescharacteristic
40C2×C22⋊C4×D59C2211yescharacteristic
41C2×C22⋊C4×D59C2211yescharacteristic
42C2×C22⋊C4×D59C2211yescharacteristic
43C2×C22⋊C4×D59C2211yescharacteristic
44C2×C22⋊C4×D59C2211yescharacteristic
45C2×C22⋊C4×D59C2211yescharacteristic
46C2×C22⋊C4×D59C2211yescharacteristic
47C2×C22⋊C4×D59C2211yescharacteristic
48C2×C22⋊C4×D59C2211yescharacteristic
49C2×C22⋊C4×D59C2211yescharacteristic
50C2×C22⋊C4×D59C2211yescharacteristic
51C2×C42×D59C2211yescharacteristic
52C2×C42×D59C2211yescharacteristic
53C59⋊#401C2211yescharacteristic, complemented
54C59⋊#401C2211yescharacteristic, complemented
55C59⋊#401C2211yescharacteristic, complemented
56C59⋊#401C2211yescharacteristic, complemented
57C59⋊#401C2211yescharacteristic, complemented
58C59⋊#401C2211yescharacteristic, complemented
59C59⋊#401C2211yescharacteristic, complemented
60#16837336C2211yescharacteristic, complemented
61#16837336C2211yescharacteristic, complemented
62#16837335C2211yescharacteristic, complemented
63#16837335C2211yescharacteristic, complemented
64#16837334C2211yescharacteristic, complemented
65#16837333C2211yescharacteristic, complemented
66#16837332C2211yescharacteristic, complemented
67#16837331C2211yescharacteristic, complemented
68#16837331C2211yescharacteristic, complemented
69#16837331C2211yescharacteristic, complemented
70#16837331C2211yescharacteristic, complemented
71#16837330C2211yescharacteristic, complemented
72#16837330C2211yescharacteristic, complemented
73#16837330C2211yescharacteristic, complemented
74#16837330C2211yescharacteristic, complemented
75#16837329C2211yescharacteristic, complemented
76#16837329C2211yescharacteristic, complemented
77#16837328C2211yescharacteristic, complemented
78#16837328C2211yescharacteristic, complemented
79#16837327C2211yescharacteristic, complemented
80#16837327C2211yescharacteristic, complemented
81#16837320C2211yescharacteristic
82#16837320C2211yescharacteristic
83#16837319C2211yescharacteristic
84#16837319C2211yescharacteristic
85#16837318C2211yescharacteristic
86#16837318C2211yescharacteristic
87#16837318C2211yescharacteristic
88#16837318C2211yescharacteristic
89#16837317C2211yescharacteristic
90#16837317C2211yescharacteristic
91#16837317C2211yescharacteristic
92#16837317C2211yescharacteristic
93#16837316C2211yescharacteristic
94#16837316C2211yescharacteristic
95#16837315C2211yescharacteristic, complemented
96#16837315C2211yescharacteristic, complemented
97#16837315C2211yescharacteristic, complemented
98#16837315C2211yescharacteristic, complemented
99#16837315C2211yescharacteristic, complemented
100#16837315C2211yescharacteristic, complemented
101#16837314C2211yescharacteristic, complemented
102#16837314C2211yescharacteristic, complemented
103#16837314C2211yescharacteristic, complemented
104#16837314C2211yescharacteristic, complemented
105#16837314C2211yescharacteristic, complemented
106#16837314C2211yescharacteristic, complemented
107#16837313C2211yescharacteristic, complemented
108#16837313C2211yescharacteristic, complemented
109#16837309C2211yescharacteristic, complemented
110#16837308C2211yescharacteristic, complemented
111#16837307C2211yescharacteristic, complemented
112#16837306C2211yescharacteristic, complemented
113#16837306C2211yescharacteristic, complemented
114#16837306C2211yescharacteristic, complemented
115#16837306C2211yescharacteristic, complemented
116#16837296C2211yescharacteristic, complemented
117#16837296C2211yescharacteristic, complemented
118#16837295C2211yescharacteristic, complemented
119#16837295C2211yescharacteristic, complemented
120#16837294C2211yescharacteristic, complemented
121#16837294C2211yescharacteristic, complemented
122#16837293C2211yescharacteristic, complemented
123#16837293C2211yescharacteristic, complemented
124#16837292C2211yescharacteristic, complemented
125#16837292C2211yescharacteristic, complemented
126#16837291C2211yescharacteristic, complemented
127#16837291C2211yescharacteristic, complemented
128#16837290C2211yescharacteristic, complemented
129#16837290C2211yescharacteristic, complemented
130#16837289C2211yescharacteristic, complemented
131#16837288C2211yescharacteristic, complemented
132#16837287C2211yescharacteristic, complemented
133#16837286C2211yescharacteristic, complemented
134#16837285C2211yescharacteristic, complemented
135#16837284C2211yescharacteristic, complemented
136#16837283C2211yescharacteristic, complemented
137#16837282C2211yescharacteristic
138#16837281C2211yescharacteristic
139#16837280C2211yescharacteristic
140#16837280C2211yescharacteristic
141#16837279C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837277C2211yescharacteristic, complemented
145#16837276C2211yescharacteristic, complemented
146#16837276C2211yescharacteristic, complemented
147#16837275C2211yescharacteristic, complemented
148#16837274C2211yescharacteristic, complemented
149#16837273C2211yescharacteristic, complemented
150#16837273C2211yescharacteristic, complemented
151C22⋊C4×Dic59C2211yescharacteristic, complemented
152C22⋊C4×Dic59C2211yescharacteristic, complemented
153C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
154C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
155C4×C22⋊Dic59C2211yescharacteristic, complemented
156#16837249C2211yescharacteristic, complemented
157#16837249C2211yescharacteristic, complemented
158#95×D59C2211yescharacteristic
159#95×D59C2211yescharacteristic
160#95×D59C2211yescharacteristic
161#95×D59C2211yescharacteristic
162#95×D59C2211yescharacteristic
163#95×D59C2211yescharacteristic
164#95×D59C2211yescharacteristic
165#95×D59C2211yescharacteristic
166#95×D59C2211yescharacteristic
167#95×D59C2211yescharacteristic
168#95×D59C2211yescharacteristic
169#95×D59C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C59×#401C2211yescharacteristic, complemented
173C59×#398C2211yescharacteristic, complemented
174C59×#397C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic, complemented
176C59×#394C2211yescharacteristic
177C59×#394C2211yescharacteristic
178C59×#393C2211yescharacteristic, complemented
179C59×#393C2211yescharacteristic, complemented
180C59×#391C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#385C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C2×Q8×D59—24no—
193C2×Q8×D59—42no—
194C2×Q8×D59—42no—
195C22×D236C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C2×D4×D59—24no—
199C2×D4×D59—42no—
200C2×D4×D59—42no—
201C23×Dic59C2311yescharacteristic
202C22×C4×D59—24no—
203C22×C4×D59—42no—
204C22×C4×D59—42no—
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C2×C4⋊Dic59C2311yescharacteristic
221C2×C4⋊Dic59C2311yescharacteristic
222C2×C4⋊Dic59C2311yescharacteristic
223C2×C4⋊Dic59C2311yescharacteristic
224C2×C4⋊Dic59C2311yescharacteristic
225C2×Dic59⋊C4C2311yescharacteristic
226C2×Dic59⋊C4C2311yescharacteristic
227C2×Dic59⋊C4C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C4⋊C4×D59—24no—
236C4⋊C4×D59—42no—
237C4⋊C4×D59—42no—
238C4⋊C4×D59—42no—
239C4⋊C4×D59—42no—
240C2×C22⋊Dic59C2311yescharacteristic
241C2×C22⋊Dic59C2311yescharacteristic
242C2×C22⋊Dic59C2311yescharacteristic
243C2×C22⋊Dic59C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×(C2×D59)⋊C4C2311yescharacteristic
252C2×(C2×D59)⋊C4C2311yescharacteristic
253C2×(C2×D59)⋊C4C2311yescharacteristic
254C2×(C2×D59)⋊C4C2311yescharacteristic
255C2×(C2×D59)⋊C4C2311yescharacteristic
256C2×(C2×D59)⋊C4C2311yescharacteristic
257C2×(C2×D59)⋊C4C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C22⋊C4×D59—24no—
274C22⋊C4×D59—24no—
275C22⋊C4×D59—24no—
276C22⋊C4×D59—24no—
277C22⋊C4×D59—24no—
278C22⋊C4×D59—42no—
279C22⋊C4×D59—42no—
280C22⋊C4×D59—42no—
281C22⋊C4×D59—42no—
282C22⋊C4×D59—42no—
283C22⋊C4×D59—42no—
284C2×C4×Dic59C2311yescharacteristic
285C2×C4×Dic59C2311yescharacteristic
286C2×C4×Dic59C2311yescharacteristic
287C2×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C42×D59—42no—
291C42×D59—42no—
292C59⋊#95C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C22×Q8×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C42×C59C2311yescharacteristic
354C2×C42×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59C2411yescharacteristic
370C24×C59C2411yescharacteristic
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—22no—
376C23×D59—22no—
377C23×D59—22no—
378C23×D59—22no—
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—22no—
382C23×D59—22no—
383C23×D59—22no—
384C23×D59#4114yes—
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C2×Q8×C59—22no—
389C2×Q8×C59—41no—
390C2×Q8×C59—41no—
391C2×D4×C59—22no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
394C22×C4×C59—22no—
395C22×C4×C59—41no—
396C22×C4×C59—41no—
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—41no—
413C2×C22⋊D59—41no—
414C2×C22⋊D59—41no—
415C2×C22⋊D59—41no—
416C22×Dic59—22no—
417C22×Dic59—41no—
418C22×Dic59—41no—
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C22×Dic59C2411yescharacteristic
432Q8×D59—416no—
433D4×D59—416no—
434C2×D236—22no—
435C2×D236—41no—
436C2×D236—41no—
437C2×C4×D59—22no—
438C2×C4×D59—22no—
439C2×C4×D59—22no—
440C2×C4×D59—22no—
441C2×C4×D59—22no—
442C2×C4×D59—22no—
443C2×C4×D59—22no—
444C2×C4×D59—22no—
445C2×C4×D59—22no—
446C2×C4×D59—22no—
447C2×C4×D59—22no—
448C2×C4×D59—22no—
449C2×C4×D59—22no—
450C2×C4×D59—22no—
451C2×C4×D59—22no—
452C2×C4×D59—22no—
453C2×C4×D59—22no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
456C2×C4×D59—22no—
457C2×C4×D59—22no—
458C2×C4×D59—22no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
469C2×C4×D59—22no—
470C2×C4×D59—22no—
471C2×C4×D59—22no—
472C2×C4×D59—22no—
473C2×C4×D59—22no—
474C2×C4×D59—22no—
475C2×C4×D59—22no—
476C2×C4×D59—416no—
477C2×C4×D59—41no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59#4114yes—
482C2×C4×D59#4114yes—
483C2×Dic118—22no—
484C2×Dic118—22no—
485C2×Dic118—22no—
486C2×Dic118—41no—
487C2×Dic118—41no—
488C2×Dic118—41no—
489C2×Dic118—41no—
490C2×Dic118—41no—
491C2×Dic118—41no—
492C4⋊C4×C59—22no—
493C4⋊C4×C59—41no—
494C4⋊C4×C59—41no—
495C4⋊C4×C59—41no—
496C4⋊C4×C59—41no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59—41no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C42×C59—41no—
509C42×C59—41no—
510C22⋊Dic59—22no—
511C22⋊Dic59—22no—
512C22⋊Dic59—22no—
513C22⋊Dic59—22no—
514C22⋊Dic59—22no—
515C22⋊Dic59—41no—
516C22⋊Dic59—41no—
517C22⋊Dic59—41no—
518C22⋊Dic59—41no—
519C22⋊Dic59—41no—
520C22⋊Dic59—41no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
525(C2×D59)⋊C4—22no—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543C4⋊Dic59—22no—
544C4⋊Dic59—41no—
545C4⋊Dic59—41no—
546C4⋊Dic59—41no—
547C4⋊Dic59—41no—
548Dic59⋊C4—22no—
549Dic59⋊C4—22no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552Dic59⋊C4—41no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558C4×Dic59—41no—
559C4×Dic59—41no—
560C4×Dic59—41no—
561C4×Dic59—41no—
562C4×Dic59—41no—
563C4×Dic59—41no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59C2×#4112yes—
578C23×C59C2511yescharacteristic
579C22×D59—21no—
580C22×D59—21no—
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—21no—
585C22×D59—28no—
586C22×D59—28no—
587C22×D59—28no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—44no—
596C22×D59—44no—
597C22×D59—44no—
598C22×D59—44no—
599C22×D59—44no—
600C22×D59—44no—
601C22×D59—44no—
602C22×D59—44no—
603C22×D59—44no—
604C22×D59—44no—
605C22×D59—44no—
606C22×D59C2×#4112yes—
607C22×D59C2×#4112yes—
608C22×D59C2×#4112yes—
609C22×D59C2×#4112yes—
610C22×D59H(5,𝔽2)12yes—
611C22×D59H(5,𝔽2)12yes—
612C22×D59H(5,𝔽2)12yes—
613C22×D592−1+412yes—
614Q8×C59—44no—
615D4×C59—44no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—44no—
654C2×C4×C59C2×#4112yes—
655C2×C4×C59C2×#4112yes—
656C22⋊D59—44no—
657C22⋊D59—44no—
658C2×Dic59—21no—
659C2×Dic59—21no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—44no—
696C2×Dic59C2×#4112yes—
697C2×Dic59C2×#4112yes—
698D236—44no—
699C4×D59—28no—
700C4×D59—28no—
701C4×D59—44no—
702C4×D59—44no—
703C4×D59—44no—
704C4×D59—44no—
705C4×D59—44no—
706C4×D59—44no—
707C4×D59—44no—
708C4×D59—44no—
709C4×D59—44no—
710C4×D59—44no—
711C4×D59—44no—
712C4×D59—44no—
713C4×D59—44no—
714Dic118—44no—
715Dic118—44no—
716Dic118—44no—
717C2×#2653—591nomaximal, Sylow
718C22×C59—22no—
719C22×C59—22no—
720C22×C59—22no—
721C22×C59—41no—
722C22×C59—41no—
723C22×C59—41no—
724C22×C59—41no—
725C22×C59—41no—
726C22×C59—41no—
727C22×C59—41no—
728C22×C59—41no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59C22×#4111yescharacteristic
733C22×C59C22×#4111yescharacteristic
734C22×C59C22×#4111yescharacteristic
735C22×C59C2×H(5,𝔽2)11yescharacteristic
736C22×C59C2×H(5,𝔽2)11yescharacteristic
737C22×C59C2×H(5,𝔽2)11yescharacteristic
738C22×C59C2×2−1+411yescharacteristic
739C2×D59—22no—
740C2×D59—22no—
741C2×D59—22no—
742C2×D59—41no—
743C2×D59—41no—
744C2×D59—41no—
745C2×D59—41no—
746C2×D59—416no—
747C2×D59—41no—
748C2×D59—41no—
749C2×D59—41no—
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—88no—
755C2×D59#52914yes—
756C2×D59#53814yes—
757C2×D59#53814yes—
758C2×D59#53814yes—
759C2×D59#53914yes—
760C2×D59#54214yes—
761C2×D59#54214yes—
762C4×C59—22no—
763C4×C59—22no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768C4×C59—41no—
769C4×C59—41no—
770C4×C59—41no—
771C4×C59—41no—
772C4×C59—41no—
773C4×C59—41no—
774C4×C59—41no—
775Dic59—22no—
776Dic59—22no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780Dic59—41no—
781Dic59—41no—
782Dic59—41no—
783Dic59—41no—
784Dic59—41no—
785Dic59—41no—
786Dic59—41no—
787Dic59—41no—
788#2653—591no—
789#2653—591no—
790#2653—591no—
791#2653—591no—
792#2653—591no—
793#2653—591no—
794#2653—591no—
795#2653—591no—
796#2653—591no—
797#2653—591no—
798#2653—591no—
799#2653—591no—
800#2653—591no—
801#2653—591no—
802#2653—591no—
803#2653D5911yescharacteristic, direct product factor
804C2×#401—591no—
805C2×#398—591no—
806C2×#397—591no—
807C2×#397—591no—
808C2×#394—591no—
809C2×#394—591no—
810C2×#393—591no—
811C2×#393—591no—
812C2×#391—591no—
813C2×#388—591no—
814C2×#388—591no—
815C2×#387—591no—
816C2×#386—591no—
817C2×#385—591no—
818C2×C4×C22⋊C4—591no—
819C2×C59—42no—
820C2×C59—81no—
821C2×C59C2×#52911yescharacteristic
822C2×C59C2×#53811yescharacteristic
823C2×C59C2×#53811yescharacteristic
824C2×C59C2×#53811yescharacteristic
825C2×C59C2×#53911yescharacteristic
826C2×C59C2×#54211yescharacteristic
827C2×C59C2×#54211yescharacteristic
828D59—42no—
829D59—81no—
830D59#265318yesdirect product factor
831C23×Q8—591no—
832C23×D4—591no—
833C24×C4—591no—
834C22×C4⋊C4—591no—
835C22×C4⋊C4—591no—
836C22×C4⋊C4—591no—
837C22×C4⋊C4—591no—
838C22×C4⋊C4—591no—
839C22×C22⋊C4—591no—
840C22×C22⋊C4—591no—
841C22×C22⋊C4—591no—
842C22×C22⋊C4—591no—
843C22×C22⋊C4—591no—
844C22×C22⋊C4—591no—
845C22×C22⋊C4—591no—
846C22×C22⋊C4—591no—
847C22×C22⋊C4—591no—
848C22×C22⋊C4—591no—
849C22×C22⋊C4—591no—
850C22×C42—591no—
851C22×C42—591no—
852#401—591no—
853#401—591no—
854#401—591no—
855#401—591no—
856#401—591no—
857#401—591no—
858#401—591no—
859#401C2×D5911yescharacteristic, complemented
860#398—591no—
861#398—591no—
862#398—591no—
863#398—591no—
864#398—591no—
865#398—591no—
866#398—591no—
867#398C2×D5911yescharacteristic, complemented
868#397—591no—
869#397—591no—
870#397—591no—
871#397—591no—
872#397—591no—
873#397—591no—
874#397—591no—
875#397—591no—
876#397—591no—
877#397—591no—
878#397—591no—
879#397—591no—
880#397—591no—
881#397—591no—
882#397C2×D5911yescharacteristic, complemented
883#397C2×D5911yescharacteristic, complemented
884#394—591no—
885#394—591no—
886#394—591no—
887#394—591no—
888#394—591no—
889#394—591no—
890#394—591no—
891#394—591no—
892#394—591no—
893#394—591no—
894#394—591no—
895#394—591no—
896#394—591no—
897#394—591no—
898#394C2×D5911yescharacteristic
899#394C2×D5911yescharacteristic
900#393—591no—
901#393—591no—
902#393—591no—
903#393—591no—
904#393—591no—
905#393—591no—
906#393—591no—
907#393—591no—
908#393—591no—
909#393—591no—
910#393—591no—
911#393—591no—
912#393—591no—
913#393—591no—
914#393C2×D5911yescharacteristic, complemented
915#393C2×D5911yescharacteristic, complemented
916#391—591no—
917#391—591no—
918#391—591no—
919#391—591no—
920#391—591no—
921#391—591no—
922#391—591no—
923#391C2×D5911yescharacteristic, complemented
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#388—591no—
935#388—591no—
936#388—591no—
937#388—591no—
938#388C2×D5911yescharacteristic, complemented
939#388C2×D5911yescharacteristic, complemented
940#387—591no—
941#387—591no—
942#387—591no—
943#387—591no—
944#387—591no—
945#387—591no—
946#387—591no—
947#387C2×D5911yescharacteristic, complemented
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386C2×D5911yescharacteristic
956#385—591no—
957#385—591no—
958#385—591no—
959#385—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385C2×D5911yescharacteristic, complemented
964C4×C22⋊C4—591no—
965C4×C22⋊C4—591no—
966C4×C22⋊C4—591no—
967C4×C22⋊C4—591no—
968C4×C22⋊C4—591no—
969C4×C22⋊C4—591no—
970C4×C22⋊C4—591no—
971C4×C22⋊C4C2×D5911yescharacteristic, complemented
972C2×#95—591no—
973C2×#95—591no—
974C2×#95—591no—
975C2×#95—591no—
976C2×#95—591no—
977C2×#95—591no—
978C2×#95—591no—
979C2×#95—591no—
980C2×#95—591no—
981C2×#95—591no—
982C2×#95—591no—
983C2×#95—591no—
984C2×#95—591no—
985C2×#95—591no—
986C59C2×#265311yescharacteristic, complemented, Sylow
987C25—591no—
988C25—591no—
989C22×Q8—591no—
990C22×Q8—591no—
991C22×Q8—591no—
992C22×Q8—1184no—
993C22×Q8—2362no—
994C22×Q8—2362no—
995C22×Q8C22×D5911yescharacteristic
996C22×D4—591no—
997C22×D4—591no—
998C22×D4—591no—
999C22×D4—1184no—
1000C22×D4—2362no—
1001C22×D4—2362no—
1002C22×D4C22×D5911yescharacteristic
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4—591no—
1007C23×C4—591no—
1008C23×C4—591no—
1009C23×C4—591no—
1010C23×C4—591no—
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—591no—
1019C23×C4—1184no—
1020C23×C4—2362no—
1021C23×C4—2362no—
1022C23×C4C22×D5911yescharacteristic
1023C2×C4⋊C4—591no—
1024C2×C4⋊C4—591no—
1025C2×C4⋊C4—591no—
1026C2×C4⋊C4—591no—
1027C2×C4⋊C4—591no—
1028C2×C4⋊C4—591no—
1029C2×C4⋊C4—591no—
1030C2×C4⋊C4—591no—
1031C2×C4⋊C4—591no—
1032C2×C4⋊C4—591no—
1033C2×C4⋊C4—591no—
1034C2×C4⋊C4—591no—
1035C2×C4⋊C4—591no—
1036C2×C4⋊C4—591no—
1037C2×C4⋊C4—591no—
1038C2×C4⋊C4—1184no—
1039C2×C4⋊C4—2362no—
1040C2×C4⋊C4—2362no—
1041C2×C4⋊C4—2362no—
1042C2×C4⋊C4—2362no—
1043C2×C4⋊C4C22×D5911yescharacteristic
1044C2×C4⋊C4C22×D5911yescharacteristic
1045C2×C4⋊C4C22×D5911yescharacteristic
1046C2×C4⋊C4C22×D5911yescharacteristic
1047C2×C4⋊C4C22×D5911yescharacteristic
1048C2×C22⋊C4—591no—
1049C2×C22⋊C4—591no—
1050C2×C22⋊C4—591no—
1051C2×C22⋊C4—591no—
1052C2×C22⋊C4—591no—
1053C2×C22⋊C4—591no—
1054C2×C22⋊C4—591no—
1055C2×C22⋊C4—591no—
1056C2×C22⋊C4—591no—
1057C2×C22⋊C4—591no—
1058C2×C22⋊C4—591no—
1059C2×C22⋊C4—591no—
1060C2×C22⋊C4—591no—
1061C2×C22⋊C4—591no—
1062C2×C22⋊C4—591no—
1063C2×C22⋊C4—591no—
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—1184no—
1082C2×C22⋊C4—1184no—
1083C2×C22⋊C4—1184no—
1084C2×C22⋊C4—1184no—
1085C2×C22⋊C4—1184no—
1086C2×C22⋊C4—2362no—
1087C2×C22⋊C4—2362no—
1088C2×C22⋊C4—2362no—
1089C2×C22⋊C4—2362no—
1090C2×C22⋊C4—2362no—
1091C2×C22⋊C4—2362no—
1092C2×C22⋊C4C22×D5911yescharacteristic
1093C2×C22⋊C4C22×D5911yescharacteristic
1094C2×C22⋊C4C22×D5911yescharacteristic
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C42—591no—
1104C2×C42—591no—
1105C2×C42—591no—
1106C2×C42—591no—
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—2362no—
1110C2×C42—2362no—
1111C2×C42C22×D5911yescharacteristic
1112C2×C42C22×D5911yescharacteristic
1113#95—591no—
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95—591no—
1125#95—591no—
1126#95—591no—
1127#95—591no—
1128#95—591no—
1129#95—591no—
1130#95—591no—
1131#95—591no—
1132#95—591no—
1133#95—591no—
1134#95—591no—
1135#95—591no—
1136#95—591no—
1137#95—591no—
1138#95—591no—
1139#95—591no—
1140#95—591no—
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95C22×D5911yescharacteristic
1156#95C22×D5911yescharacteristic
1157#95C22×D5911yescharacteristic
1158#95C22×D5911yescharacteristic
1159#95C22×D5911yescharacteristic
1160#95C22×D5911yescharacteristic
1161#95C22×D5911yescharacteristic
1162#95C22×D5911yescharacteristic
1163#95C22×D5911yescharacteristic
1164#95C22×D5911yescharacteristic
1165#95C22×D5911yescharacteristic
1166#95C22×D5911yescharacteristic
1167#95C22×D5911yescharacteristic
1168#95C22×D5911yescharacteristic
1169C24—591no—
1170C24—594no—
1171C24—591no—
1172C24—591no—
1173C24—1182no—
1174C24—1182no—
1175C24—1182no—
1176C24—1182no—
1177C24—1182no—
1178C24—1182no—
1179C24—1182no—
1180C24—1182no—
1181C24—1182no—
1182C24—1182no—
1183C24—1182no—
1184C24—1182no—
1185C24—1182no—
1186C24C23×D5911yescharacteristic
1187C24C23×D5911yescharacteristic
1188C2×Q8—22no—
1189C2×Q8—41no—
1190C2×Q8—41no—
1191C2×Q8—1182no—
1192C2×Q8—1182no—
1193C2×Q8—1182no—
1194C2×Q8—2361no—
1195C2×Q8—2361no—
1196C2×Q8—2361no—
1197C2×Q8—2361no—
1198C2×Q8—2361no—
1199C2×Q8—2361no—
1200C2×Q8—23616no—
1201C2×D4—22no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—1182no—
1205C2×D4—1182no—
1206C2×D4—1182no—
1207C2×D4—2361no—
1208C2×D4—2361no—
1209C2×D4—2361no—
1210C2×D4—2361no—
1211C2×D4—2361no—
1212C2×D4—2361no—
1213C2×D4—23616no—
1214C22×C4—22no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—591no—
1218C22×C4—591no—
1219C22×C4—594no—
1220C22×C4—594no—
1221C22×C4—591no—
1222C22×C4—591no—
1223C22×C4—591no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
1229C22×C4—591no—
1230C22×C4—591no—
1231C22×C4—591no—
1232C22×C4—1182no—
1233C22×C4—1182no—
1234C22×C4—1182no—
1235C22×C4—1182no—
1236C22×C4—1182no—
1237C22×C4—1182no—
1238C22×C4—1182no—
1239C22×C4—1182no—
1240C22×C4—1182no—
1241C22×C4—1182no—
1242C22×C4—1182no—
1243C22×C4—1182no—
1244C22×C4—1182no—
1245C22×C4—1182no—
1246C22×C4—1182no—
1247C22×C4—1182no—
1248C22×C4—1182no—
1249C22×C4—1182no—
1250C22×C4—1182no—
1251C22×C4—1182no—
1252C22×C4—1182no—
1253C22×C4—1182no—
1254C22×C4—1182no—
1255C22×C4—1182no—
1256C22×C4—1182no—
1257C22×C4—1182no—
1258C22×C4—1182no—
1259C22×C4—1182no—
1260C22×C4—1182no—
1261C22×C4—1182no—
1262C22×C4—1182no—
1263C22×C4—1182no—
1264C22×C4—1182no—
1265C22×C4—1182no—
1266C22×C4—1182no—
1267C22×C4—1182no—
1268C22×C4—1182no—
1269C22×C4—1182no—
1270C22×C4—1182no—
1271C22×C4—1182no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4—23616no—
1277C22×C4—2361no—
1278C22×C4—2361no—
1279C22×C4C23×D5911yescharacteristic
1280C22×C4C23×D5911yescharacteristic
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C22×C4C23×D5911yescharacteristic
1285C22×C4C23×D5911yescharacteristic
1286C22×C4C23×D5911yescharacteristic
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C22×C4C23×D5911yescharacteristic
1291C22×C4C23×D5911yescharacteristic
1292C4⋊C4—22no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—1182no—
1298C4⋊C4—1182no—
1299C4⋊C4—1182no—
1300C4⋊C4—2361no—
1301C4⋊C4—2361no—
1302C4⋊C4—2361no—
1303C4⋊C4—2361no—
1304C4⋊C4—2361no—
1305C4⋊C4—2361no—
1306C4⋊C4—2361no—
1307C4⋊C4—2361no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—1182no—
1324C22⋊C4—1182no—
1325C22⋊C4—1182no—
1326C22⋊C4—1182no—
1327C22⋊C4—1182no—
1328C22⋊C4—1182no—
1329C22⋊C4—1182no—
1330C22⋊C4—1182no—
1331C22⋊C4—1182no—
1332C22⋊C4—1182no—
1333C22⋊C4—1182no—
1334C22⋊C4—1182no—
1335C22⋊C4—1182no—
1336C22⋊C4—1182no—
1337C22⋊C4—1182no—
1338C22⋊C4—2361no—
1339C22⋊C4—2361no—
1340C22⋊C4—2361no—
1341C22⋊C4—2361no—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C22⋊C4—2361no—
1345C22⋊C4—2361no—
1346C22⋊C4—2361no—
1347C22⋊C4—2361no—
1348C22⋊C4—2361no—
1349C22⋊C4—2361no—
1350C22⋊C4—2361no—
1351C22⋊C4—2361no—
1352C22⋊C4—2361no—
1353C22⋊C4—2361no—
1354C22⋊C4—2361no—
1355C22⋊C4—2361no—
1356C42—41no—
1357C42—41no—
1358C42—2361no—
1359C42—2361no—
1360C42—2361no—
1361C42—2361no—
1362C42—2361no—
1363C42—2361no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—592no—
1378C23—592no—
1379C23—592no—
1380C23—592no—
1381C23—592no—
1382C23—592no—
1383C23—592no—
1384C23—592no—
1385C23—1188no—
1386C23—1188no—
1387C23—1188no—
1388C23—1181no—
1389C23—1181no—
1390C23—1181no—
1391C23—1181no—
1392C23—1181no—
1393C23—1181no—
1394C23—1181no—
1395C23—1181no—
1396C23—1181no—
1397C23—1181no—
1398C23—1181no—
1399C23—1181no—
1400C23—1181no—
1401C23—2364no—
1402C23—2364no—
1403C23—2364no—
1404C23—2364no—
1405C23—2364no—
1406C23—2364no—
1407C23—2364no—
1408C23—2364no—
1409C23—2364no—
1410C23—2364no—
1411C23—2364no—
1412C23#41×D5912yes—
1413C23C24×D5911yescharacteristic
1414Q8—44no—
1415Q8—2364no—
1416Q8—2364no—
1417Q8—2364no—
1418D4—44no—
1419D4—2364no—
1420D4—2364no—
1421D4—2364no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—44no—
1460C2×C4—592no—
1461C2×C4—592no—
1462C2×C4—1188no—
1463C2×C4—1188no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
1468C2×C4—1181no—
1469C2×C4—1181no—
1470C2×C4—1181no—
1471C2×C4—1181no—
1472C2×C4—1181no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—2364no—
1502C2×C4—2364no—
1503C2×C4—2364no—
1504C2×C4—2364no—
1505C2×C4—2364no—
1506C2×C4—2364no—
1507C2×C4—2364no—
1508C2×C4—2364no—
1509C2×C4—2364no—
1510C2×C4—2364no—
1511C2×C4—2364no—
1512C2×C4—2364no—
1513C2×C4—2364no—
1514C2×C4—2364no—
1515C2×C4#41×D5912yes—
1516C2×C4#41×D5912yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—594no—
1532C22—594no—
1533C22—594no—
1534C22—594no—
1535C22—594no—
1536C22—594no—
1537C22—594no—
1538C22—1182no—
1539C22—1182no—
1540C22—1182no—
1541C22—4728no—
1542C22—23616no—
1543C22—2361no—
1544C22—2361no—
1545C22—2361no—
1546C22—2361no—
1547C22—2361no—
1548C22—2361no—
1549C22—2361no—
1550C22—2361no—
1551C22—2361no—
1552C22—2361no—
1553C22—2361no—
1554C22C2×#41×D5911yescharacteristic
1555C22C2×#41×D5911yescharacteristic
1556C22C2×#41×D5911yescharacteristic
1557C22H(5,𝔽2)×D5911yescharacteristic
1558C22H(5,𝔽2)×D5911yescharacteristic
1559C22H(5,𝔽2)×D5911yescharacteristic
1560C222−1+4×D5911yescharacteristic
1561C4—22no—
1562C4—22no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—1182no—
1575C4—1182no—
1576C4—2361no—
1577C4—2361no—
1578C4—2361no—
1579C4—2361no—
1580C4—2361no—
1581C4—2361no—
1582C4—2361no—
1583C4—2361no—
1584C4—2361no—
1585C4—2361no—
1586C4—2361no—
1587C2—42no—
1588C2—81no—
1589C2—598no—
1590C2—4721no—
1591C2—2362no—
1592C2#529×D5911yescharacteristic
1593C2#538×D5911yescharacteristic
1594C2#538×D5911yescharacteristic
1595C2#538×D5911yescharacteristic
1596C2#539×D5911yescharacteristic
1597C2#542×D5911yescharacteristic
1598C2#542×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2653C2
prime radicalC22×D4×D59C22
hypercenter#2653D59
hypocenterC59C2×#2653
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2653

Complements

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

NH ≅ G/Ntype
1. #21430166C2semidirect
2. #21430165C2semidirect
3. #21430164C2semidirect
4. #21430163C2semidirect
5. #21430162C2semidirect
6. #21430161C2semidirect
7. #21430160C2semidirect
8. #21430159C2semidirect
9. #21430158C2semidirect
10. #21430157C2semidirect
11. #21430156C2semidirect
12. #21430155C2semidirect
13. #21430154C2semidirect
14. #21430153C2semidirect
15. #21430152C2semidirect
16. #401×D59C2semidirect
17. #398×D59C2semidirect
18. #397×D59C2semidirect
19. #397×D59C2semidirect
22. #393×D59C2semidirect
23. #393×D59C2semidirect
24. #391×D59C2semidirect
25. #388×D59C2semidirect
26. #388×D59C2semidirect
27. #387×D59C2semidirect
29. #385×D59C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2653C2semidirect
53. C59⋊#401C22semidirect
54. C59⋊#401C22semidirect
55. C59⋊#401C22semidirect
56. C59⋊#401C22semidirect
57. C59⋊#401C22semidirect
58. C59⋊#401C22semidirect
59. C59⋊#401C22semidirect
60. #16837336C22semidirect
61. #16837336C22semidirect
62. #16837335C22semidirect
63. #16837335C22semidirect
64. #16837334C22semidirect
65. #16837333C22semidirect
66. #16837332C22semidirect
67. #16837331C22semidirect
68. #16837331C22semidirect
69. #16837331C22semidirect
70. #16837331C22semidirect
71. #16837330C22semidirect
72. #16837330C22semidirect
73. #16837330C22semidirect
74. #16837330C22semidirect
75. #16837329C22semidirect
76. #16837329C22semidirect
77. #16837328C22semidirect
78. #16837328C22semidirect
79. #16837327C22semidirect
80. #16837327C22semidirect
95. #16837315C22semidirect
96. #16837315C22semidirect
97. #16837315C22semidirect
98. #16837315C22semidirect
99. #16837315C22semidirect
100. #16837315C22semidirect
101. #16837314C22semidirect
102. #16837314C22semidirect
103. #16837314C22semidirect
104. #16837314C22semidirect
105. #16837314C22semidirect
106. #16837314C22semidirect
107. #16837313C22semidirect
108. #16837313C22semidirect
109. #16837309C22semidirect
110. #16837308C22semidirect
111. #16837307C22semidirect
112. #16837306C22semidirect
113. #16837306C22semidirect
114. #16837306C22semidirect
115. #16837306C22semidirect
116. #16837296C22semidirect
117. #16837296C22semidirect
118. #16837295C22semidirect
119. #16837295C22semidirect
120. #16837294C22semidirect
121. #16837294C22semidirect
122. #16837293C22semidirect
123. #16837293C22semidirect
124. #16837292C22semidirect
125. #16837292C22semidirect
126. #16837291C22semidirect
127. #16837291C22semidirect
128. #16837290C22semidirect
129. #16837290C22semidirect
130. #16837289C22semidirect
131. #16837288C22semidirect
132. #16837287C22semidirect
133. #16837286C22semidirect
134. #16837285C22semidirect
135. #16837284C22semidirect
136. #16837283C22semidirect
144. #16837277C22semidirect
145. #16837276C22semidirect
146. #16837276C22semidirect
147. #16837275C22semidirect
148. #16837274C22semidirect
149. #16837273C22semidirect
150. #16837273C22semidirect
151. C22⋊C4×Dic59C22semidirect
152. C22⋊C4×Dic59C22semidirect
153. C4×(C2×D59)⋊C4C22semidirect
154. C4×(C2×D59)⋊C4C22semidirect
155. C4×C22⋊Dic59C22semidirect
156. #16837249C22semidirect
157. #16837249C22semidirect
172. C59×#401C22semidirect
173. C59×#398C22semidirect
174. C59×#397C22semidirect
175. C59×#397C22semidirect
178. C59×#393C22semidirect
179. C59×#393C22semidirect
180. C59×#391C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#387C22semidirect
185. C59×#385C22semidirect
186. C4×C22⋊C4×C59C22semidirect
803. #2653D59direct (N × H)
830. D59#2653direct (N × H)
859. #401C2×D59semidirect
867. #398C2×D59semidirect
882. #397C2×D59semidirect
883. #397C2×D59semidirect
914. #393C2×D59semidirect
915. #393C2×D59semidirect
923. #391C2×D59semidirect
938. #388C2×D59semidirect
939. #388C2×D59semidirect
947. #387C2×D59semidirect
963. #385C2×D59semidirect
971. C4×C22⋊C4C2×D59semidirect
986. C59C2×#2653semidirect

Maximal subgroups

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

subgroupindex
#214301662
#214301652
#214301642
#214301632
#214301622
#214301612
#214301602
#214301592
#214301582
#214301572
#214301562
#214301552
#214301542
#214301532
#214301522
#401×D592
#398×D592
#397×D592
#394×D592
#393×D592
#391×D592
#388×D592
#387×D592
#386×D592
#385×D592
C4×C22⋊C4×D592
C59×#26532
C2×#265359