Finite Group Databasebeta

← #28756458

Subgroups — #28756458

Order 15104.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837932C211yesmaximal, characteristic, complemented
2#21428351C211yesmaximal, characteristic, complemented
3#21428336C211yesmaximal, characteristic, complemented
4#21428231C211yesmaximal, characteristic, complemented
5#21428216C211yesmaximal, characteristic, complemented
6#21428141C211yesmaximal, characteristic, complemented
7#21428126C211yesmaximal, characteristic, complemented
8#21428042C211yesmaximal, characteristic, complemented
9#21428027C211yesmaximal, characteristic, complemented
10#21427914C211yesmaximal, characteristic, complemented
11#21427840C211yesmaximal, characteristic, complemented
12#21427757C211yesmaximal, characteristic, complemented
13#21427641C211yesmaximal, characteristic, complemented
14#21427567C211yesmaximal, characteristic, complemented
15#21427486C211yesmaximal, characteristic, complemented
16#21427470C211yesmaximal, characteristic
17#21427419C211yesmaximal, characteristic, complemented
18#21427380C211yesmaximal, characteristic, complemented
19#21427355C211yesmaximal, characteristic, complemented
20#21427338C211yesmaximal, characteristic, complemented
21#21427334C211yesmaximal, characteristic, complemented
22C4×#14273706C211yesmaximal, characteristic, complemented
23C4×#14273708C211yesmaximal, characteristic, complemented
24C4×#14273699C211yesmaximal, characteristic, complemented
25C4×#14273696C211yesmaximal, characteristic, complemented
26C4×#14273696C211yesmaximal, characteristic, complemented
27#21426541C211yesmaximal, characteristic, complemented
28#21426539C211yesmaximal, characteristic, complemented
29#21426479C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic59C211yesmaximal, characteristic, complemented
31C22×C4×D4×C59C211yesmaximal, characteristic, complemented
32#16837932—28no—
33C2×#14273722C2211yescharacteristic, complemented
34C2×#14273720C2211yescharacteristic, complemented
35C2×#14273717C2211yescharacteristic, complemented
36C2×#14273713C2211yescharacteristic, complemented
37C2×#14273711C2211yescharacteristic, complemented
38C2×#14273708C2211yescharacteristic
39C2×#14273708C2211yescharacteristic
40C2×#14273706C2211yescharacteristic
41C2×#14273704C2211yescharacteristic, complemented
42C2×#14273699C2211yescharacteristic
43C2×#14273699C2211yescharacteristic
44C2×#14273696C2211yescharacteristic
45C2×#14273696C2211yescharacteristic
46C2×C4×Dic118C2211yescharacteristic, complemented
47C2×C4×C22⋊D59C2211yescharacteristic
48C2×C4×C22⋊D59C2211yescharacteristic, complemented
49C2×C4×C22⋊D59C2211yescharacteristic, complemented
50C2×C4×C22⋊D59C2211yescharacteristic, complemented
51C2×C4×C22⋊D59C2211yescharacteristic, complemented
52C2×#14273686C2211yescharacteristic, complemented
53C2×#14273686C2211yescharacteristic, complemented
54C2×#14273684C2211yescharacteristic, complemented
55C22×C22⋊Dic59C2211yescharacteristic
56C22×C22⋊Dic59C2211yescharacteristic
57C22×C4×Dic59C2211yescharacteristic, complemented
58C22×C4×Dic59C2211yescharacteristic, complemented
59#16837341C2211yescharacteristic, complemented
60#16837340C2211yescharacteristic, complemented
61#16837340C2211yescharacteristic, complemented
62#16837338C2211yescharacteristic, complemented
63#16837335C2211yescharacteristic, complemented
64#16837333C2211yescharacteristic, complemented
65#16837332C2211yescharacteristic, complemented
66#16837330C2211yescharacteristic, complemented
67#16837330C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837328C2211yescharacteristic, complemented
70#16837327C2211yescharacteristic, complemented
71#16837327C2211yescharacteristic, complemented
72#16837327C2211yescharacteristic, complemented
73#16837325C2211yescharacteristic, complemented
74#16837325C2211yescharacteristic, complemented
75#16837325C2211yescharacteristic, complemented
76#16837324C2211yescharacteristic, complemented
77#16837318C2211yescharacteristic, complemented
78#16837318C2211yescharacteristic, complemented
79#16837318C2211yescharacteristic, complemented
80#16837317C2211yescharacteristic, complemented
81#16837316C2211yescharacteristic
82#16837316C2211yescharacteristic
83#16837316C2211yescharacteristic
84#16837316C2211yescharacteristic
85#16837316C2211yescharacteristic
86#16837316C2211yescharacteristic
87#16837314C2211yescharacteristic, complemented
88#16837314C2211yescharacteristic, complemented
89#16837310C2211yescharacteristic
90#16837310C2211yescharacteristic
91#16837308C2211yescharacteristic, complemented
92#16837302C2211yescharacteristic, complemented
93#16837300C2211yescharacteristic, complemented
94#16837297C2211yescharacteristic, complemented
95#16837296C2211yescharacteristic, complemented
96#16837295C2211yescharacteristic, complemented
97#16837295C2211yescharacteristic, complemented
98#16837293C2211yescharacteristic, complemented
99#16837293C2211yescharacteristic, complemented
100#16837292C2211yescharacteristic, complemented
101#16837290C2211yescharacteristic, complemented
102#16837290C2211yescharacteristic, complemented
103#16837288C2211yescharacteristic, complemented
104#16837288C2211yescharacteristic, complemented
105#16837286C2211yescharacteristic, complemented
106#16837286C2211yescharacteristic, complemented
107#16837286C2211yescharacteristic, complemented
108#16837286C2211yescharacteristic, complemented
109#16837283C2211yescharacteristic, complemented
110#16837283C2211yescharacteristic, complemented
111#16837282C2211yescharacteristic
112#16837282C2211yescharacteristic
113#16837282C2211yescharacteristic
114#16837282C2211yescharacteristic
115#16837281C2211yescharacteristic
116#16837281C2211yescharacteristic
117#16837281C2211yescharacteristic
118#16837281C2211yescharacteristic
119#16837281C2211yescharacteristic, complemented
120#16837281C2211yescharacteristic, complemented
121#16837281C2211yescharacteristic, complemented
122#16837281C2211yescharacteristic, complemented
123#16837279C2211yescharacteristic, complemented
124#16837277C2211yescharacteristic, complemented
125#16837277C2211yescharacteristic, complemented
126#16837275C2211yescharacteristic
127#16837275C2211yescharacteristic
128#16837275C2211yescharacteristic
129#16837275C2211yescharacteristic
130#16837275C2211yescharacteristic
131#16837275C2211yescharacteristic
132#16837275C2211yescharacteristic, complemented
133#16837275C2211yescharacteristic, complemented
134#16837275C2211yescharacteristic, complemented
135#16837275C2211yescharacteristic, complemented
136#16837274C2211yescharacteristic, complemented
137#16837265C2211yescharacteristic, complemented
138#16837265C2211yescharacteristic, complemented
139#16837263C2211yescharacteristic, complemented
140#16837262C2211yescharacteristic
141#16837262C2211yescharacteristic
142#16837262C2211yescharacteristic
143#16837262C2211yescharacteristic, complemented
144#16837262C2211yescharacteristic, complemented
145#16837260C2211yescharacteristic, complemented
146#16837258C2211yescharacteristic
147#16837258C2211yescharacteristic
148#16837258C2211yescharacteristic
149#16837258C2211yescharacteristic
150C4×Dic59⋊C4C2211yescharacteristic, complemented
151C4×Dic59⋊C4C2211yescharacteristic, complemented
152C4×Dic59⋊C4C2211yescharacteristic, complemented
153C4×C4⋊Dic59C2211yescharacteristic, complemented
154C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
155C4×C22⋊Dic59C2211yescharacteristic
156C4×C22⋊Dic59C2211yescharacteristic
157C4×C22⋊Dic59C2211yescharacteristic
158C4×C22⋊Dic59C2211yescharacteristic
159C4×C22⋊Dic59C2211yescharacteristic
160C4×C22⋊Dic59C2211yescharacteristic, complemented
161C4×C22⋊Dic59C2211yescharacteristic, complemented
162C4×C22⋊Dic59C2211yescharacteristic, complemented
163C4×C22⋊Dic59C2211yescharacteristic, complemented
164C4×C22⋊Dic59C2211yescharacteristic, complemented
165C4×C22⋊Dic59C2211yescharacteristic, complemented
166C4×C22⋊Dic59C2211yescharacteristic, complemented
167C4×C22⋊Dic59C2211yescharacteristic, complemented
168C4×C22⋊Dic59C2211yescharacteristic, complemented
169C4×C22⋊Dic59C2211yescharacteristic, complemented
170#16837248C2211yescharacteristic, complemented
171C2×C59⋊#95C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic, complemented
173C23×D4×C59C2211yescharacteristic
174C24×C4×C59C2211yescharacteristic
175C24×C4×C59C2211yescharacteristic
176C2×C4×D4×C59—28no—
177C2×C4×D4×C59C2211yescharacteristic
178C2×C4×D4×C59C2211yescharacteristic
179C2×C4×D4×C59C2211yescharacteristic
180C2×C4×D4×C59C2211yescharacteristic
181C2×C4×D4×C59C2211yescharacteristic
182C2×C4×D4×C59C2211yescharacteristic
183C2×C4×D4×C59C2211yescharacteristic
184C2×C4×D4×C59C2211yescharacteristic
185C22×C4⋊C4×C59C2211yescharacteristic
186C22×C22⋊C4×C59C2211yescharacteristic
187C22×C22⋊C4×C59C2211yescharacteristic
188C22×C42×C59C2211yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C23×Dic59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C22×C4×D59C2311yescharacteristic
200#14273722—24no—
201#14273720—24no—
202#14273717—24no—
203#14273713—24no—
204#14273711—24no—
205#14273708—24no—
206#14273708—24no—
207#14273706—24no—
208#14273704—24no—
209#14273699—24no—
210#14273699—24no—
211#14273696—24no—
212#14273696—24no—
213C4×Dic118—24no—
214C4×C22⋊D59—24no—
215C4×C22⋊D59—24no—
216C4×C22⋊D59—24no—
217C4×C22⋊D59—42no—
218C4×C22⋊D59—42no—
219#14273686—24no—
220#14273686—42no—
221#14273684—24no—
222C2×C4⋊Dic59C2311yescharacteristic
223C2×C4⋊Dic59C2311yescharacteristic
224C2×C4⋊Dic59C2311yescharacteristic
225C2×C4⋊Dic59C2311yescharacteristic
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×C22⋊Dic59—24no—
245C2×C22⋊Dic59—24no—
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×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×C22⋊Dic59C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×C4×Dic59—24no—
287C2×C4×Dic59—42no—
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
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
334C59⋊#95C2311yescharacteristic
335C25×C59C2311yescharacteristic
336C25×C59C2311yescharacteristic
337C22×D4×C59—24no—
338C22×D4×C59—24no—
339C22×D4×C59—24no—
340C22×D4×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C22×D4×C59C2311yescharacteristic
343C22×D4×C59C2311yescharacteristic
344C23×C4×C59—24no—
345C23×C4×C59—24no—
346C23×C4×C59—24no—
347C23×C4×C59—24no—
348C23×C4×C59—42no—
349C23×C4×C59—42no—
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353C23×C4×C59C2311yescharacteristic
354C23×C4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359C23×C4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361C23×C4×C59C2311yescharacteristic
362C23×C4×C59C2311yescharacteristic
363C4×D4×C59—24no—
364C4×D4×C59—24no—
365C4×D4×C59—24no—
366C4×D4×C59—24no—
367C4×D4×C59—24no—
368C4×D4×C59—24no—
369C4×D4×C59—24no—
370C4×D4×C59D418yescomplemented
371C2×C4⋊C4×C59—24no—
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C4⋊C4×C59C2311yescharacteristic
374C2×C4⋊C4×C59C2311yescharacteristic
375C2×C4⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59—24no—
377C2×C22⋊C4×C59—24no—
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C42×C59—24no—
387C2×C42×C59C2311yescharacteristic
388C2×C42×C59C2311yescharacteristic
389C2×C42×C59C2311yescharacteristic
390C2×C42×C59C2311yescharacteristic
391C24×C59—22no—
392C24×C59—22no—
393C24×C59—22no—
394C24×C59—22no—
395C24×C59—22no—
396C24×C59—22no—
397C24×C59—22no—
398C24×C59—22no—
399C24×C59—22no—
400C24×C59—41no—
401C24×C59—41no—
402C24×C59—41no—
403C24×C59—41no—
404C24×C59#4114yes—
405C24×C59C2411yescharacteristic
406C24×C59C2411yescharacteristic
407C24×C59C2411yescharacteristic
408C24×C59C2411yescharacteristic
409C24×C59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C2×D4×C59—232no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C2×D4×C59—22no—
418C2×D4×C59—22no—
419C2×D4×C59—22no—
420C2×D4×C59—22no—
421C2×D4×C59—22no—
422C2×D4×C59C2×D414yes—
423C2×D4×C59#4114yes—
424C22×C4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—22no—
427C22×C4×C59—22no—
428C22×C4×C59—22no—
429C22×C4×C59—22no—
430C22×C4×C59—22no—
431C22×C4×C59—22no—
432C22×C4×C59—22no—
433C22×C4×C59—22no—
434C22×C4×C59—22no—
435C22×C4×C59—22no—
436C22×C4×C59—22no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—22no—
440C22×C4×C59—22no—
441C22×C4×C59—22no—
442C22×C4×C59—22no—
443C22×C4×C59—22no—
444C22×C4×C59—22no—
445C22×C4×C59—22no—
446C22×C4×C59—22no—
447C22×C4×C59—22no—
448C22×C4×C59—22no—
449C22×C4×C59—22no—
450C22×C4×C59—22no—
451C22×C4×C59—22no—
452C22×C4×C59—22no—
453C22×C4×C59—41no—
454C22×C4×C59—41no—
455C22×C4×C59—41no—
456C22×C4×C59—41no—
457C22×C4×C59—41no—
458C22×C4×C59—41no—
459C22×C4×C59—41no—
460C22×C4×C59—416no—
461C22×C4×C59—416no—
462C22×C4×C59C2×D414yes—
463C22×C4×C59C2×D414yes—
464C22×C4×C59#4114yes—
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C22×C4×C59C2411yescharacteristic
472C22×C4×C59C2411yescharacteristic
473C22×C4×C59C2411yescharacteristic
474C22×C4×C59C2411yescharacteristic
475C2×C22⋊D59—22no—
476C2×C22⋊D59—22no—
477C2×C22⋊D59—22no—
478C2×C22⋊D59—22no—
479C2×C22⋊D59—22no—
480C2×C22⋊D59—22no—
481C2×C22⋊D59—22no—
482C2×C22⋊D59—22no—
483C2×C22⋊D59—22no—
484C2×C22⋊D59—22no—
485C2×C22⋊D59—22no—
486C2×C22⋊D59—41no—
487C2×C22⋊D59—41no—
488C2×C22⋊D59—41no—
489C2×C22⋊D59—41no—
490C22×Dic59—22no—
491C22×Dic59—22no—
492C22×Dic59—22no—
493C22×Dic59—22no—
494C22×Dic59—22no—
495C22×Dic59—22no—
496C22×Dic59—22no—
497C22×Dic59—22no—
498C22×Dic59—41no—
499C22×Dic59—41no—
500C22×Dic59—41no—
501C22×Dic59—41no—
502C22×Dic59C2411yescharacteristic
503C22×Dic59C2411yescharacteristic
504C22×Dic59C2411yescharacteristic
505C22×Dic59C2411yescharacteristic
506C22×Dic59C2411yescharacteristic
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C22×Dic59C2411yescharacteristic
513C22×Dic59C2411yescharacteristic
514C22×Dic59C2411yescharacteristic
515C22×Dic59C2411yescharacteristic
516C22×Dic59C2411yescharacteristic
517C2×C4×D59—22no—
518C2×C4×D59—22no—
519C2×C4×D59—22no—
520C2×Dic118—22no—
521C2×Dic118—22no—
522C2×Dic118—41no—
523C4⋊C4×C59—22no—
524C4⋊C4×C59—22no—
525C4⋊C4×C59—22no—
526C4⋊C4×C59C2×D414yes—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59C2×D414yes—
534C22⋊C4×C59C2×D414yes—
535C42×C59—22no—
536C42×C59—22no—
537C42×C59—22no—
538C42×C59C2×D414yes—
539C22⋊Dic59—22no—
540C22⋊Dic59—22no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—22no—
546C22⋊Dic59—22no—
547C22⋊Dic59—22no—
548C22⋊Dic59—22no—
549C22⋊Dic59—22no—
550C22⋊Dic59—22no—
551C22⋊Dic59—22no—
552C22⋊Dic59—22no—
553C22⋊Dic59—22no—
554C22⋊Dic59—22no—
555C22⋊Dic59—22no—
556C22⋊Dic59—22no—
557C22⋊Dic59—22no—
558C22⋊Dic59—22no—
559C22⋊Dic59—22no—
560C22⋊Dic59—22no—
561C22⋊Dic59—41no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
564C22⋊Dic59—41no—
565C22⋊Dic59—41no—
566C22⋊Dic59—41no—
567C22⋊Dic59—41no—
568C22⋊Dic59—41no—
569C22⋊Dic59#4114yes—
570(C2×D59)⋊C4—22no—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—22no—
575(C2×D59)⋊C4—22no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579C4⋊Dic59—22no—
580C4⋊Dic59—22no—
581C4⋊Dic59—22no—
582C4⋊Dic59—22no—
583C4⋊Dic59—41no—
584C4⋊Dic59—41no—
585C4⋊Dic59—41no—
586Dic59⋊C4—22no—
587Dic59⋊C4—22no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593Dic59⋊C4—22no—
594Dic59⋊C4—22no—
595Dic59⋊C4—22no—
596Dic59⋊C4—22no—
597Dic59⋊C4—22no—
598Dic59⋊C4—41no—
599Dic59⋊C4—41no—
600Dic59⋊C4—41no—
601C4×Dic59—22no—
602C4×Dic59—22no—
603C4×Dic59—22no—
604C4×Dic59—22no—
605C4×Dic59—22no—
606C4×Dic59—22no—
607C4×Dic59—22no—
608C4×Dic59—22no—
609C4×Dic59—22no—
610C4×Dic59—41no—
611C4×Dic59—41no—
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—28no—
621C23×C59—28no—
622C23×C59—28no—
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×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—44no—
642C23×C59—44no—
643C23×C59—44no—
644C23×C59—44no—
645C23×C59—44no—
646C23×C59—44no—
647C23×C59—44no—
648C23×C59—44no—
649C23×C59—44no—
650C23×C59—44no—
651C23×C59—44no—
652C23×C59C22×D412yes—
653C23×C59C22×D412yes—
654C23×C59C2×#4112yes—
655C23×C59C2×#4112yes—
656C23×C59C2×#4112yes—
657C23×C59C2×#4112yes—
658C23×C59C2×#4112yes—
659C23×C59C2×#4112yes—
660C23×C59C2×#4112yes—
661C23×C59C2511yescharacteristic
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669D4×C59—28no—
670D4×C59—28no—
671D4×C59—28no—
672D4×C59—28no—
673C2×C4×C59—28no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—28no—
687C2×C4×C59—28no—
688C2×C4×C59—28no—
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—44no—
699C2×C4×C59—44no—
700C2×C4×C59—44no—
701C2×C4×C59—44no—
702C2×C4×C59—44no—
703C2×C4×C59—44no—
704C2×C4×C59—44no—
705C2×C4×C59—44no—
706C2×C4×C59—44no—
707C2×C4×C59C22×D412yes—
708C2×C4×C59C22×D412yes—
709C2×C4×C59C22×D412yes—
710C2×C4×C59C22×D412yes—
711C2×C4×C59C22×D412yes—
712C2×C4×C59C2×#4112yes—
713C2×C4×C59C2×#4112yes—
714C2×C4×C59C2×#4112yes—
715C2×C4×C59H(5,𝔽2)12yes—
716C22⋊D59—44no—
717C22⋊D59—44no—
718C22⋊D59—44no—
719C22⋊D59—44no—
720C22⋊D59—44no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—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—44no—
765C2×Dic59—44no—
766C2×Dic59—44no—
767C2×Dic59—44no—
768C2×Dic59C2×#4112yes—
769C2×Dic59C2×#4112yes—
770C4×D59—44no—
771Dic118—44no—
772#34670—591nomaximal, Sylow
773C22×C59—22no—
774C22×C59—22no—
775C22×C59—22no—
776C22×C59—22no—
777C22×C59—22no—
778C22×C59—22no—
779C22×C59—22no—
780C22×C59—22no—
781C22×C59—22no—
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—416no—
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#52514yes—
809C22×C59#52914yescomplemented
810C22×C59C23×D411yescharacteristic
811C22×C59C22×#4111yescharacteristic
812C22×C59C22×#4111yescharacteristic
813C22×C59C22×#4111yescharacteristic
814C22×C59C22×#4111yescharacteristic
815C22×C59C2×H(5,𝔽2)11yescharacteristic
816C22×C59#58511yescharacteristic
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59—41no—
824C4×C59—22no—
825C4×C59—22no—
826C4×C59—22no—
827C4×C59—22no—
828C4×C59—22no—
829C4×C59—22no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59#54614yes—
834Dic59—22no—
835Dic59—22no—
836Dic59—41no—
837Dic59—41no—
838Dic59—41no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849C2×#529—591no—
850C22×C4×D4D5911yescharacteristic, complemented
851#2481—591no—
852#2480—591no—
853#2473—591no—
854#2472—591no—
855#2467—591no—
856#2466—591no—
857#2460—591no—
858#2459—591no—
859#2450—591no—
860#2444—591no—
861#2437—591no—
862#2425—591no—
863#2419—591no—
864#2412—591no—
865#2410—591no—
866#2405—591no—
867#2398—591no—
868#2395—591no—
869#2392—591no—
870#2392—591no—
871C4×C22⋊Q8—591no—
872C4×#123—591no—
873C4×#121—591no—
874C4×#120—591no—
875C4×#120—591no—
876#2290—591no—
877#2290—591no—
878#2280—591no—
879C2×C4×C22⋊C4—591no—
880C2×C59—24no—
881C2×C59—24no—
882C2×C59—42no—
883C2×C59—42no—
884C2×C59—42no—
885C2×C59C2×#52511yescharacteristic
886C2×C59C2×#52911yescharacteristic
887C2×C59#345911yescharacteristic
888C2×C59C2×#54611yescharacteristic
889C2×C59D4×#4111yescharacteristic
890C2×C59#347511yescharacteristic
891C2×C59#348111yescharacteristic
892D59—81no—
893C23×D4C2×D5911yescharacteristic
894C24×C4C2×D5911yescharacteristic
895C24×C4C2×D5911yescharacteristic
896#529—1188no—
897C2×#126—591no—
898C2×#126—591no—
899C2×#125—591no—
900C2×#124—591no—
901C2×#123—591no—
902C2×#123—591no—
903C2×#123—591no—
904C2×C22⋊Q8—591no—
905C2×C22⋊Q8—591no—
906C2×#121—591no—
907C2×#121—591no—
908C2×#120—591no—
909C2×#120—591no—
910C2×C4×Q8—591no—
911C2×C4×D4—28no—
912C2×C4×D4—591no—
913C2×C4×D4—591no—
914C2×C4×D4—591no—
915C2×C4×D4—591no—
916C2×C4×D4—591no—
917C2×C4×D4C2×D5911yescharacteristic
918C2×C4×D4C2×D5911yescharacteristic
919C2×C4×D4C2×D5911yescharacteristic
920C2×C4×D4C2×D5911yescharacteristic
921C2×C4×D4C2×D5911yescharacteristic
922C2×C4×D4C2×D5911yescharacteristic
923C2×C4×D4C2×D5911yescharacteristic
924C2×C4×D4C2×D5911yescharacteristic
925C2×#117—591no—
926C2×#117—591no—
927C2×#117—591no—
928C22×C4⋊C4C2×D5911yescharacteristic
929C22×C22⋊C4—591no—
930C22×C22⋊C4—591no—
931C22×C22⋊C4C2×D5911yescharacteristic
932C22×C22⋊C4C2×D5911yescharacteristic
933C22×C42—591no—
934C22×C42—591no—
935C22×C42C2×D5911yescharacteristic
936#400—591no—
937#400—591no—
938#400—591no—
939#399—591no—
940#398—591no—
941#398—591no—
942#398—591no—
943#397—591no—
944#397—591no—
945#397—591no—
946#397—591no—
947#397—591no—
948#397—591no—
949#397—591no—
950#396—591no—
951#396—591no—
952#396—591no—
953#396—591no—
954#394—591no—
955#394—591no—
956#394—591no—
957#394—591no—
958#394—591no—
959#394—591no—
960#394—591no—
961#394—591no—
962#394—591no—
963#394—591no—
964#393—591no—
965#393—591no—
966#392—591no—
967#392—591no—
968#391—591no—
969#390—591no—
970#389—591no—
971#389—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#387—591no—
981#387—591no—
982#387—591no—
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#385—591no—
1002#385—591no—
1003#385—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#385—591no—
1009#385—591no—
1010#385—591no—
1011#385—591no—
1012#385—591no—
1013#385—591no—
1014#381—591no—
1015#381—591no—
1016#381—591no—
1017#380—591no—
1018#380—591no—
1019#380—591no—
1020#380—591no—
1021#380—591no—
1022#380—591no—
1023#379—591no—
1024#379—591no—
1025#379—591no—
1026#379—591no—
1027C4×C4⋊C4—591no—
1028C4×C4⋊C4—591no—
1029C4×C4⋊C4—591no—
1030C4×C4⋊C4—591no—
1031C4×C22⋊C4—591no—
1032C4×C22⋊C4—591no—
1033C4×C22⋊C4—591no—
1034C4×C22⋊C4—591no—
1035C4×C22⋊C4—591no—
1036C4×C22⋊C4—591no—
1037C4×C22⋊C4—591no—
1038C4×C22⋊C4—591no—
1039C4×C22⋊C4—591no—
1040C4×C22⋊C4—591no—
1041C4×C22⋊C4—591no—
1042C4×C22⋊C4—591no—
1043C4×C22⋊C4—591no—
1044C4×C22⋊C4—591no—
1045C4×C22⋊C4—591no—
1046C4×C22⋊C4—591no—
1047#376—591no—
1048C2×#95—591no—
1049C2×#95—591no—
1050C59#3467011yescharacteristic, complemented, Sylow
1051C25C22×D5911yescharacteristic
1052C25C22×D5911yescharacteristic
1053C22×Q8—591no—
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—24no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—591no—
1061C22×D4—591no—
1062C22×D4C22×D5911yescharacteristic
1063C22×D4C22×D5911yescharacteristic
1064C22×D4C22×D5911yescharacteristic
1065C22×D4C22×D5911yescharacteristic
1066C23×C4—24no—
1067C23×C4—24no—
1068C23×C4—24no—
1069C23×C4—24no—
1070C23×C4—42no—
1071C23×C4—42no—
1072C23×C4—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—591no—
1076C23×C4—591no—
1077C23×C4C22×D5911yescharacteristic
1078C23×C4C22×D5911yescharacteristic
1079C23×C4C22×D5911yescharacteristic
1080C23×C4C22×D5911yescharacteristic
1081C23×C4C22×D5911yescharacteristic
1082C23×C4C22×D5911yescharacteristic
1083C23×C4C22×D5911yescharacteristic
1084C23×C4C22×D5911yescharacteristic
1085C23×C4C22×D5911yescharacteristic
1086C23×C4C22×D5911yescharacteristic
1087C23×C4C22×D5911yescharacteristic
1088C23×C4C22×D5911yescharacteristic
1089C23×C4C22×D5911yescharacteristic
1090#126—1184no—
1091#126—1184no—
1092#125—1184no—
1093#124—1184no—
1094#123—1184no—
1095#123—1184no—
1096#123—1184no—
1097C22⋊Q8—1184no—
1098C22⋊Q8—1184no—
1099#121—1184no—
1100#121—1184no—
1101#120—1184no—
1102#120—1184no—
1103C4×Q8—1184no—
1104C4×D4—24no—
1105C4×D4—24no—
1106C4×D4—24no—
1107C4×D4—24no—
1108C4×D4—24no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—1184no—
1112C4×D4—1184no—
1113C4×D4—1184no—
1114C4×D4—2362no—
1115C4×D4—2362no—
1116C4×D4C22⋊D5918yescomplemented
1117#117—1184no—
1118#117—1184no—
1119#117—2362no—
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4—591no—
1124C2×C4⋊C4—591no—
1125C2×C4⋊C4—591no—
1126C2×C4⋊C4—591no—
1127C2×C4⋊C4—591no—
1128C2×C4⋊C4—591no—
1129C2×C4⋊C4—591no—
1130C2×C4⋊C4—591no—
1131C2×C4⋊C4—591no—
1132C2×C4⋊C4—591no—
1133C2×C4⋊C4—591no—
1134C2×C4⋊C4—591no—
1135C2×C4⋊C4—591no—
1136C2×C4⋊C4—591no—
1137C2×C4⋊C4—591no—
1138C2×C4⋊C4—591no—
1139C2×C4⋊C4—591no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—591no—
1142C2×C4⋊C4—591no—
1143C2×C4⋊C4C22×D5911yescharacteristic
1144C2×C4⋊C4C22×D5911yescharacteristic
1145C2×C4⋊C4C22×D5911yescharacteristic
1146C2×C4⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4—24no—
1148C2×C22⋊C4—24no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—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—1184no—
1190C2×C22⋊C4—1184no—
1191C2×C22⋊C4C22×D5911yescharacteristic
1192C2×C22⋊C4C22×D5911yescharacteristic
1193C2×C22⋊C4C22×D5911yescharacteristic
1194C2×C22⋊C4C22×D5911yescharacteristic
1195C2×C22⋊C4C22×D5911yescharacteristic
1196C2×C22⋊C4C22×D5911yescharacteristic
1197C2×C22⋊C4C22×D5911yescharacteristic
1198C2×C22⋊C4C22×D5911yescharacteristic
1199C2×C42—24no—
1200C2×C42—591no—
1201C2×C42—591no—
1202C2×C42—591no—
1203C2×C42—591no—
1204C2×C42—591no—
1205C2×C42—591no—
1206C2×C42—591no—
1207C2×C42—591no—
1208C2×C42—591no—
1209C2×C42—591no—
1210C2×C42—591no—
1211C2×C42—1184no—
1212C2×C42—2362no—
1213C2×C42C22×D5911yescharacteristic
1214C2×C42C22×D5911yescharacteristic
1215C2×C42C22×D5911yescharacteristic
1216C2×C42C22×D5911yescharacteristic
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—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#95—591no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—591no—
1267C24#1174568514yes—
1268C24C23×D5911yescharacteristic
1269C24C23×D5911yescharacteristic
1270C24C23×D5911yescharacteristic
1271C24C23×D5911yescharacteristic
1272C24C23×D5911yescharacteristic
1273C2×Q8—1182no—
1274C2×Q8—1182no—
1275C2×Q8—2361no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—1182no—
1288C2×D4—1182no—
1289C2×D4—1182no—
1290C2×D4—1182no—
1291C2×D4—1182no—
1292C2×D4—1182no—
1293C2×D4—1182no—
1294C2×D4—1182no—
1295C2×D4—1182no—
1296C2×D4—1182no—
1297C2×D4—1182no—
1298C2×D4—2361no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C2×D4—2361no—
1302C2×D4#1174568514yes—
1303C2×D4C2×C22⋊D5914yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—416no—
1341C22×C4—416no—
1342C22×C4—591no—
1343C22×C4—591no—
1344C22×C4—591no—
1345C22×C4—591no—
1346C22×C4—591no—
1347C22×C4—591no—
1348C22×C4—591no—
1349C22×C4—591no—
1350C22×C4—591no—
1351C22×C4—591no—
1352C22×C4—591no—
1353C22×C4—591no—
1354C22×C4—591no—
1355C22×C4—591no—
1356C22×C4—591no—
1357C22×C4—1182no—
1358C22×C4—1182no—
1359C22×C4—1182no—
1360C22×C4—1182no—
1361C22×C4—1182no—
1362C22×C4—1182no—
1363C22×C4—1182no—
1364C22×C4—1182no—
1365C22×C4—1182no—
1366C22×C4—1182no—
1367C22×C4—1182no—
1368C22×C4—2361no—
1369C22×C4—2361no—
1370C22×C4—2361no—
1371C22×C4—2361no—
1372C22×C4#1174568714yes—
1373C22×C4C2×C22⋊D5914yes—
1374C22×C4C2×C22⋊D5914yes—
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C22×C4C23×D5911yescharacteristic
1378C22×C4C23×D5911yescharacteristic
1379C22×C4C23×D5911yescharacteristic
1380C22×C4C23×D5911yescharacteristic
1381C22×C4C23×D5911yescharacteristic
1382C22×C4C23×D5911yescharacteristic
1383C22×C4C23×D5911yescharacteristic
1384C22×C4C23×D5911yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—1182no—
1389C4⋊C4—1182no—
1390C4⋊C4—1182no—
1391C4⋊C4—1182no—
1392C4⋊C4—1182no—
1393C4⋊C4—1182no—
1394C4⋊C4—1182no—
1395C4⋊C4—1182no—
1396C4⋊C4—1182no—
1397C4⋊C4—1182no—
1398C4⋊C4—1182no—
1399C4⋊C4—1182no—
1400C4⋊C4—1182no—
1401C4⋊C4—1182no—
1402C4⋊C4—1182no—
1403C4⋊C4—1182no—
1404C4⋊C4—2361no—
1405C4⋊C4—2361no—
1406C4⋊C4—2361no—
1407C4⋊C4—2361no—
1408C4⋊C4—2361no—
1409C4⋊C4—2361no—
1410C4⋊C4C2×C22⋊D5914yes—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—594no—
1418C22⋊C4—1182no—
1419C22⋊C4—1182no—
1420C22⋊C4—1182no—
1421C22⋊C4—1182no—
1422C22⋊C4—1182no—
1423C22⋊C4—1182no—
1424C22⋊C4—1182no—
1425C22⋊C4—1182no—
1426C22⋊C4—1182no—
1427C22⋊C4—1182no—
1428C22⋊C4—1182no—
1429C22⋊C4—1182no—
1430C22⋊C4—1182no—
1431C22⋊C4—1182no—
1432C22⋊C4—1182no—
1433C22⋊C4—1182no—
1434C22⋊C4—1182no—
1435C22⋊C4—1182no—
1436C22⋊C4—1182no—
1437C22⋊C4—1182no—
1438C22⋊C4—1182no—
1439C22⋊C4—1182no—
1440C22⋊C4—1182no—
1441C22⋊C4—1182no—
1442C22⋊C4—1182no—
1443C22⋊C4—1182no—
1444C22⋊C4—1182no—
1445C22⋊C4—1182no—
1446C22⋊C4—2361no—
1447C22⋊C4—2361no—
1448C22⋊C4—2361no—
1449C22⋊C4—2361no—
1450C22⋊C4—2361no—
1451C22⋊C4—2361no—
1452C22⋊C4—2361no—
1453C22⋊C4—2361no—
1454C22⋊C4—2361no—
1455C22⋊C4—2361no—
1456C22⋊C4—2361no—
1457C22⋊C4C2×C22⋊D5914yes—
1458C22⋊C4C2×C22⋊D5914yes—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—1182no—
1463C42—1182no—
1464C42—1182no—
1465C42—1182no—
1466C42—1182no—
1467C42—1182no—
1468C42—1182no—
1469C42—1182no—
1470C42—1182no—
1471C42—2361no—
1472C42—2361no—
1473C42C2×C22⋊D5914yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—28no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—1181no—
1515C23—1181no—
1516C23—1181no—
1517C23—1181no—
1518C23—1181no—
1519C23—1181no—
1520C23—1181no—
1521C23C22×C22⋊D5912yes—
1522C23C22×C22⋊D5912yes—
1523C23#41×D5912yes—
1524C23C2×#1174568712yes—
1525C23C2×#1174568512yes—
1526C23C2×#1174568512yes—
1527C23C2×#1174568512yes—
1528C23C2×#1174568512yes—
1529C23C2×#1174568512yes—
1530C23C24×D5911yescharacteristic
1531Q8—2364no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—2364no—
1537D4—2364no—
1538D4—2364no—
1539D4—2364no—
1540D4—2364no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—28no—
1555C2×C4—28no—
1556C2×C4—28no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—592no—
1576C2×C4—592no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—1181no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—2364no—
1621C2×C4—2364no—
1622C2×C4—2364no—
1623C2×C4—2364no—
1624C2×C4—2364no—
1625C2×C4C22×C22⋊D5912yes—
1626C2×C4C22×C22⋊D5912yes—
1627C2×C4C22×C22⋊D5912yes—
1628C2×C4C22×C22⋊D5912yes—
1629C2×C4C22×C22⋊D5912yes—
1630C2×C4C2×#1174568712yes—
1631C2×C4C2×#1174568712yes—
1632C2×C4C2×#1174568512yes—
1633C2×C4#1427377212yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22—2361no—
1674C22—2361no—
1675C22—2361no—
1676C22#1683791314yes—
1677C22#1683793214yescomplemented
1678C22C23×C22⋊D5911yescharacteristic
1679C22C2×#41×D5911yescharacteristic
1680C22C22×#1174568711yescharacteristic
1681C22C22×#1174568511yescharacteristic
1682C22C22×#1174568511yescharacteristic
1683C22C2×#1427377211yescharacteristic
1684C22#1683823811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—1182no—
1695C4—1182no—
1696C4—2361no—
1697C4—2361no—
1698C4—2361no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4—2361no—
1705C4—2361no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4#1683804614yes—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—4721no—
1716C2C2×#1683791311yescharacteristic
1717C2C2×#1683793211yescharacteristic
1718C2#2143750511yescharacteristic
1719C2C2×#1683804611yescharacteristic
1720C2#41×C22⋊D5911yescharacteristic
1721C2#2143765411yescharacteristic
1722C2#2143770011yescharacteristic
subgroupG/H
centerC22×C4C23×D59
commutator, socle, cosocleC23×C59C25
FrattiniC23C24×D59
FittingC22×C4×D4×C59C2
prime radical#21427470C2
hypercenterC22×C4×D4D59
hypocenterC59#34670
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#16837932C2semidirect
2. #21428351C2semidirect
3. #21428336C2semidirect
4. #21428231C2semidirect
5. #21428216C2semidirect
6. #21428141C2semidirect
7. #21428126C2semidirect
8. #21428042C2semidirect
9. #21428027C2semidirect
10. #21427914C2semidirect
11. #21427840C2semidirect
12. #21427757C2semidirect
13. #21427641C2semidirect
14. #21427567C2semidirect
15. #21427486C2semidirect
17. #21427419C2semidirect
18. #21427380C2semidirect
19. #21427355C2semidirect
20. #21427338C2semidirect
21. #21427334C2semidirect
22. C4×#14273706C2semidirect
23. C4×#14273708C2semidirect
24. C4×#14273699C2semidirect
25. C4×#14273696C2semidirect
26. C4×#14273696C2semidirect
27. #21426541C2semidirect
28. #21426539C2semidirect
29. #21426479C2semidirect
30. C2×C4×C22⋊Dic59C2semidirect
31. C22×C4×D4×C59C2semidirect
33. C2×#14273722C22semidirect
34. C2×#14273720C22semidirect
35. C2×#14273717C22semidirect
36. C2×#14273713C22semidirect
37. C2×#14273711C22semidirect
41. C2×#14273704C22semidirect
46. C2×C4×Dic118C22semidirect
48. C2×C4×C22⋊D59C22semidirect
49. C2×C4×C22⋊D59C22semidirect
50. C2×C4×C22⋊D59C22semidirect
51. C2×C4×C22⋊D59C22semidirect
52. C2×#14273686C22semidirect
53. C2×#14273686C22semidirect
54. C2×#14273684C22semidirect
57. C22×C4×Dic59C22semidirect
58. C22×C4×Dic59C22semidirect
59. #16837341C22semidirect
60. #16837340C22semidirect
61. #16837340C22semidirect
62. #16837338C22semidirect
63. #16837335C22semidirect
64. #16837333C22semidirect
65. #16837332C22semidirect
66. #16837330C22semidirect
67. #16837330C22semidirect
68. #16837330C22semidirect
69. #16837328C22semidirect
70. #16837327C22semidirect
71. #16837327C22semidirect
72. #16837327C22semidirect
73. #16837325C22semidirect
74. #16837325C22semidirect
75. #16837325C22semidirect
76. #16837324C22semidirect
77. #16837318C22semidirect
78. #16837318C22semidirect
79. #16837318C22semidirect
80. #16837317C22semidirect
87. #16837314C22semidirect
88. #16837314C22semidirect
91. #16837308C22semidirect
92. #16837302C22semidirect
93. #16837300C22semidirect
94. #16837297C22semidirect
95. #16837296C22semidirect
96. #16837295C22semidirect
97. #16837295C22semidirect
98. #16837293C22semidirect
99. #16837293C22semidirect
100. #16837292C22semidirect
101. #16837290C22semidirect
102. #16837290C22semidirect
103. #16837288C22semidirect
104. #16837288C22semidirect
105. #16837286C22semidirect
106. #16837286C22semidirect
107. #16837286C22semidirect
108. #16837286C22semidirect
109. #16837283C22semidirect
110. #16837283C22semidirect
119. #16837281C22semidirect
120. #16837281C22semidirect
121. #16837281C22semidirect
122. #16837281C22semidirect
123. #16837279C22semidirect
124. #16837277C22semidirect
125. #16837277C22semidirect
132. #16837275C22semidirect
133. #16837275C22semidirect
134. #16837275C22semidirect
135. #16837275C22semidirect
136. #16837274C22semidirect
137. #16837265C22semidirect
138. #16837265C22semidirect
139. #16837263C22semidirect
143. #16837262C22semidirect
144. #16837262C22semidirect
145. #16837260C22semidirect
150. C4×Dic59⋊C4C22semidirect
151. C4×Dic59⋊C4C22semidirect
152. C4×Dic59⋊C4C22semidirect
153. C4×C4⋊Dic59C22semidirect
154. C4×(C2×D59)⋊C4C22semidirect
160. C4×C22⋊Dic59C22semidirect
161. C4×C22⋊Dic59C22semidirect
162. C4×C22⋊Dic59C22semidirect
163. C4×C22⋊Dic59C22semidirect
164. C4×C22⋊Dic59C22semidirect
165. C4×C22⋊Dic59C22semidirect
166. C4×C22⋊Dic59C22semidirect
167. C4×C22⋊Dic59C22semidirect
168. C4×C22⋊Dic59C22semidirect
169. C4×C22⋊Dic59C22semidirect
170. #16837248C22semidirect
171. C2×C59⋊#95C22semidirect
172. C2×C59⋊#95C22semidirect
370. C4×D4×C59D4semidirect
809. C22×C59#529semidirect
850. C22×C4×D4D59semidirect
1050. C59#34670semidirect
1116. C4×D4C22⋊D59semidirect
1677. C22#16837932semidirect

Maximal subgroups

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

subgroupindex
C2×#168379322
#214283512
#214283362
#214282312
#214282162
#214281412
#214281262
#214280422
#214280272
#214279142
#214278402
#214277572
#214276412
#214275672
#214274862
#214274702
#214274192
#214273802
#214273552
#214273382
#214273342
C4×#142737062
C4×#142737082
C4×#142736992
C4×#142736962
#214265412
#214265392
#214264792
C2×C4×C22⋊Dic592
C22×C4×D4×C592
#3467059