Finite Group Databasebeta

← #28758859

Subgroups — #28758859

Order 15104.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837934C211yesmaximal, characteristic, complemented
2C2×#16837909C211yesmaximal, characteristic, complemented
3#21429243C211yesmaximal, characteristic, complemented
4#21429220C211yesmaximal, characteristic, complemented
5#21429211C211yesmaximal, characteristic, complemented
6#21429188C211yesmaximal, characteristic, complemented
7#21429183C211yesmaximal, characteristic, complemented
8#21429166C211yesmaximal, characteristic, complemented
9#21429157C211yesmaximal, characteristic, complemented
10#21429134C211yesmaximal, characteristic, complemented
11#21429101C211yesmaximal, characteristic, complemented
12#21429051C211yesmaximal, characteristic, complemented
13#21429021C211yesmaximal, characteristic, complemented
14#21428981C211yesmaximal, characteristic, complemented
15#21428415C211yesmaximal, characteristic, complemented
16#21428223C211yesmaximal, characteristic, complemented
17#21427648C211yesmaximal, characteristic, complemented
18#21427635C211yesmaximal, characteristic, complemented
19#21427370C211yesmaximal, characteristic, complemented
20#21427356C211yesmaximal, characteristic, complemented
21#21427338C211yesmaximal, characteristic, complemented
22C4×#14273713C211yesmaximal, characteristic, complemented
23C4×#14273709C211yesmaximal, characteristic, complemented
24C4×#14273699C211yesmaximal, characteristic, complemented
25C4×#14273698C211yesmaximal, characteristic, complemented
26C4×#14273695C211yesmaximal, characteristic, complemented
27#21426587C211yesmaximal, characteristic, complemented
28#21426561C211yesmaximal, characteristic, complemented
29C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2388C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33#16837934—28no—
34C2×#14273720C2211yescharacteristic, complemented
35C2×#14273720C2211yescharacteristic, complemented
36C2×#14273718C2211yescharacteristic, complemented
37C2×#14273714C2211yescharacteristic, complemented
38C2×#14273713C2211yescharacteristic
39#16837909—28no—
40C2×#14273709C2211yescharacteristic
41C2×#14273709C2211yescharacteristic
42C2×#14273709C2211yescharacteristic
43C2×#14273708C2211yescharacteristic
44C2×#14273708C2211yescharacteristic
45C2×#14273707C2211yescharacteristic
46C2×#14273703C2211yescharacteristic
47C2×#14273703C2211yescharacteristic
48C2×#14273699C2211yescharacteristic
49C2×#14273698C2211yescharacteristic
50C2×#14273698C2211yescharacteristic
51C2×#14273698C2211yescharacteristic
52C2×#14273698C2211yescharacteristic
53C2×#14273695C2211yescharacteristic
54C2×#14273695C2211yescharacteristic
55C2×#14273695C2211yescharacteristic
56C2×C4×Dic118C2211yescharacteristic, complemented
57C2×C4×C22⋊D59C2211yescharacteristic
58C2×C4×C22⋊D59C2211yescharacteristic
59C2×C4×C22⋊D59C2211yescharacteristic
60C2×C4×C22⋊D59C2211yescharacteristic
61C2×C4×C22⋊D59C2211yescharacteristic
62C2×C4×C22⋊D59C2211yescharacteristic
63C2×(C22⋊D59)⋊C4C2211yescharacteristic
64C2×(C22⋊D59)⋊C4C2211yescharacteristic
65C2×#14273686C2211yescharacteristic
66C2×#14273686C2211yescharacteristic, complemented
67C2×#14273686C2211yescharacteristic, complemented
68C2×C22⋊C4×D59C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic
70C22×C4×Dic59C2211yescharacteristic, complemented
71C2×C42×D59C2211yescharacteristic
72C2×C42×D59C2211yescharacteristic
73#16837344C2211yescharacteristic, complemented
74#16837342C2211yescharacteristic, complemented
75#16837339C2211yescharacteristic
76#16837338C2211yescharacteristic
77#16837336C2211yescharacteristic, complemented
78#16837335C2211yescharacteristic, complemented
79#16837334C2211yescharacteristic, complemented
80#16837334C2211yescharacteristic, complemented
81#16837330C2211yescharacteristic, complemented
82#16837329C2211yescharacteristic
83#16837327C2211yescharacteristic, complemented
84#16837327C2211yescharacteristic, complemented
85#16837325C2211yescharacteristic
86#16837325C2211yescharacteristic
87#16837325C2211yescharacteristic, complemented
88#16837324C2211yescharacteristic
89#16837323C2211yescharacteristic, complemented
90#16837318C2211yescharacteristic
91#16837318C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837317C2211yescharacteristic
94#16837316C2211yescharacteristic, complemented
95#16837314C2211yescharacteristic
96#16837310C2211yescharacteristic
97#16837309C2211yescharacteristic, complemented
98#16837309C2211yescharacteristic, complemented
99#16837306C2211yescharacteristic, complemented
100#16837305C2211yescharacteristic
101#16837305C2211yescharacteristic
102#16837305C2211yescharacteristic
103#16837305C2211yescharacteristic
104#16837305C2211yescharacteristic, complemented
105#16837302C2211yescharacteristic
106#16837302C2211yescharacteristic
107#16837301C2211yescharacteristic, complemented
108#16837301C2211yescharacteristic, complemented
109#16837298C2211yescharacteristic, complemented
110#16837297C2211yescharacteristic, complemented
111#16837296C2211yescharacteristic, complemented
112#16837296C2211yescharacteristic, complemented
113#16837295C2211yescharacteristic
114#16837295C2211yescharacteristic
115#16837295C2211yescharacteristic, complemented
116#16837295C2211yescharacteristic, complemented
117#16837295C2211yescharacteristic, complemented
118#16837295C2211yescharacteristic, complemented
119#16837294C2211yescharacteristic
120#16837292C2211yescharacteristic
121#16837291C2211yescharacteristic
122#16837290C2211yescharacteristic, complemented
123#16837290C2211yescharacteristic, complemented
124#16837290C2211yescharacteristic, complemented
125#16837285C2211yescharacteristic, complemented
126#16837284C2211yescharacteristic, complemented
127#16837282C2211yescharacteristic
128#16837282C2211yescharacteristic
129#16837282C2211yescharacteristic
130#16837282C2211yescharacteristic, complemented
131#16837282C2211yescharacteristic, complemented
132#16837282C2211yescharacteristic, complemented
133#16837279C2211yescharacteristic
134#16837278C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic
139#16837276C2211yescharacteristic
140#16837274C2211yescharacteristic
141#16837273C2211yescharacteristic
142#16837273C2211yescharacteristic
143#16837266C2211yescharacteristic, complemented
144#16837264C2211yescharacteristic
145#16837260C2211yescharacteristic, complemented
146#16837259C2211yescharacteristic
147#16837257C2211yescharacteristic
148C4×Dic59⋊C4C2211yescharacteristic, complemented
149C4×Dic59⋊C4C2211yescharacteristic, complemented
150C4×C4⋊Dic59C2211yescharacteristic, complemented
151C4×C4⋊Dic59C2211yescharacteristic, complemented
152#16837253C2211yescharacteristic, complemented
153#16837253C2211yescharacteristic, complemented
154C22⋊C4×Dic59C2211yescharacteristic
155C22⋊C4×Dic59C2211yescharacteristic
156C22⋊C4×Dic59C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic, complemented
158C4×(C2×D59)⋊C4C2211yescharacteristic
159C4×(C2×D59)⋊C4C2211yescharacteristic
160C4×(C2×D59)⋊C4C2211yescharacteristic
161C4×(C2×D59)⋊C4C2211yescharacteristic
162C4×C22⋊Dic59C2211yescharacteristic
163C4×C22⋊Dic59C2211yescharacteristic
164C4×C22⋊Dic59C2211yescharacteristic, complemented
165C4×C22⋊Dic59C2211yescharacteristic, complemented
166C4×C22⋊Dic59C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic
170#16837249C2211yescharacteristic
171#95×D59C2211yescharacteristic
172#95×D59C2211yescharacteristic
173C42×Dic59C2211yescharacteristic, complemented
174C22×#41×C59C2211yescharacteristic
175C2×C4×D4×C59C2211yescharacteristic
176C2×C4×D4×C59C2211yescharacteristic, complemented
177C2×C4×D4×C59C2211yescharacteristic, complemented
178C59×#395C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic
180C59×#394C2211yescharacteristic
181C59×#394C2211yescharacteristic, complemented
182C59×#393C2211yescharacteristic, complemented
183C59×#392C2211yescharacteristic
184C59×#392C2211yescharacteristic
185C59×#392C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C4×C22⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C22×C4×D59—24no—
201C22×C4×D59—24no—
202C22×C4×D59—42no—
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211#14273720—24no—
212#14273720—24no—
213#14273718—24no—
214#14273714—24no—
215#14273713—24no—
216#14273709—24no—
217#14273709—24no—
218#14273709—24no—
219#14273708—24no—
220#14273708—24no—
221#14273707—24no—
222#14273703—24no—
223#14273703—24no—
224#14273699—24no—
225#14273698—24no—
226#14273698—24no—
227#14273698—24no—
228#14273698—24no—
229#14273695—24no—
230#14273695—24no—
231#14273695—24no—
232C4×Dic118—24no—
233C4×C22⋊D59—24no—
234C4×C22⋊D59—24no—
235C4×C22⋊D59—24no—
236C4×C22⋊D59—24no—
237C4×C22⋊D59—42no—
238C4×C22⋊D59D418yescomplemented
239(C22⋊D59)⋊C4—24no—
240(C22⋊D59)⋊C4—24no—
241#14273686—24no—
242#14273686—24no—
243#14273686—24no—
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
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
303C22⋊C4×D59—24no—
304C22⋊C4×D59—24no—
305C2×C4×Dic59—42no—
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C42×D59—24no—
323C42×D59—42no—
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
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C2×#41×C59—24no—
351C2×#41×C59—24no—
352C2×#41×C59—42no—
353C22×Q8×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C22×D4×C59C2311yescharacteristic
358C22×D4×C59C2311yescharacteristic
359C22×D4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361C23×C4×C59C2311yescharacteristic
362C23×C4×C59C2311yescharacteristic
363C23×C4×C59C2311yescharacteristic
364C4×D4×C59—24no—
365C4×D4×C59—24no—
366C4×D4×C59—42no—
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C42×C59C2311yescharacteristic
383C2×C42×C59C2311yescharacteristic
384C2×C42×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C24×C59C2411yescharacteristic
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—22no—
400C23×D59—41no—
401C23×D59—41no—
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404#41×C59—416no—
405C2×Q8×C59—22no—
406C2×Q8×C59—22no—
407C2×Q8×C59—41no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—22no—
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—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
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×C59C2×D414yes—
437C22×C4×C59#4114yes—
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—22no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59—41no—
466C2×C22⋊D59C2×D414yes—
467C22×Dic59—22no—
468C22×Dic59—22no—
469C22×Dic59—22no—
470C22×Dic59—22no—
471C22×Dic59—22no—
472C22×Dic59—41no—
473C22×Dic59—41no—
474C22×Dic59—41no—
475C22×Dic59—41no—
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C2×C4×D59—22no—
491C2×C4×D59—22no—
492C2×C4×D59—22no—
493C2×C4×D59—22no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—22no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
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—416no—
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×D59C2×D414yes—
514C2×C4×D59#4114yescomplemented
515C2×Dic118—22no—
516C2×Dic118—22no—
517C2×Dic118—41no—
518C4⋊C4×C59—22no—
519C4⋊C4×C59—22no—
520C4⋊C4×C59—41no—
521C22⋊C4×C59—22no—
522C22⋊C4×C59—22no—
523C22⋊C4×C59—22no—
524C22⋊C4×C59—22no—
525C22⋊C4×C59—22no—
526C22⋊C4×C59—22no—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—41no—
532C22⋊C4×C59—41no—
533C42×C59—22no—
534C42×C59—22no—
535C42×C59—22no—
536C22⋊Dic59—22no—
537C22⋊Dic59—22no—
538C22⋊Dic59—22no—
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—41no—
555C22⋊Dic59—41no—
556C22⋊Dic59—41no—
557C22⋊Dic59C2×D414yes—
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—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—22no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4C2×D414yes—
570(C2×D59)⋊C4#4114yescomplemented
571(C2×D59)⋊C4#4114yescomplemented
572C4⋊Dic59—22no—
573C4⋊Dic59—22no—
574C4⋊Dic59—22no—
575C4⋊Dic59—22no—
576C4⋊Dic59—22no—
577C4⋊Dic59—22no—
578C4⋊Dic59—22no—
579C4⋊Dic59—22no—
580C4⋊Dic59—22no—
581C4⋊Dic59—41no—
582C4⋊Dic59—41no—
583Dic59⋊C4—22no—
584Dic59⋊C4—22no—
585Dic59⋊C4—22no—
586Dic59⋊C4—22no—
587Dic59⋊C4—22no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593Dic59⋊C4—41no—
594Dic59⋊C4C2×D414yes—
595C4×Dic59—22no—
596C4×Dic59—22no—
597C4×Dic59—22no—
598C4×Dic59—22no—
599C4×Dic59—22no—
600C4×Dic59—22no—
601C4×Dic59—22no—
602C4×Dic59—22no—
603C4×Dic59—22no—
604C4×Dic59—22no—
605C4×Dic59—41no—
606C4×Dic59—41no—
607C4×Dic59—41no—
608C4×Dic59—41no—
609C4×Dic59—41no—
610C4×Dic59C2×D414yes—
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×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59C22×D412yes—
638C23×C59C2×#4112yes—
639C23×C59C2511yescharacteristic
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—28no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—44no—
652C22×D59—44no—
653C22×D59—44no—
654C22×D59—44no—
655C22×D59—44no—
656C22×D59—44no—
657C22×D59C22×D412yes—
658C22×D59C2×#4112yes—
659C22×D59C2×#4112yes—
660C22×D59C2×#4112yes—
661Q8×C59—44no—
662D4×C59—44no—
663D4×C59—44no—
664D4×C59—44no—
665D4×C59—44no—
666D4×C59—44no—
667D4×C59—44no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—28no—
679C2×C4×C59—28no—
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—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—44no—
696C2×C4×C59—44no—
697C2×C4×C59C22×D412yes—
698C2×C4×C59C22×D412yes—
699C2×C4×C59C2×#4112yes—
700C2×C4×C59C2×#4112yes—
701C2×C4×C59C2×#4112yes—
702C2×C4×C59C2×#4112yes—
703C2×C4×C59C2×#4112yes—
704C2×C4×C59H(5,𝔽2)12yes—
705C22⋊D59—28no—
706C22⋊D59—44no—
707C22⋊D59—44no—
708C22⋊D59—44no—
709C22⋊D59—44no—
710C22⋊D59—44no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—44no—
748C2×Dic59—44no—
749C2×Dic59—44no—
750C2×Dic59C22×D412yes—
751C2×Dic59C22×D412yes—
752C2×Dic59C22×D412yes—
753C2×Dic59C2×#4112yes—
754C2×Dic59C2×#4112yes—
755C2×Dic59C2×#4112yes—
756C4×D59—28no—
757C4×D59—44no—
758C4×D59—44no—
759C4×D59—44no—
760C4×D59—44no—
761C4×D59—44no—
762C4×D59—44no—
763C4×D59—44no—
764Dic118—44no—
765#34829—591nomaximal, Sylow
766C22×C59—22no—
767C22×C59—22no—
768C22×C59—22no—
769C22×C59—22no—
770C22×C59—22no—
771C22×C59—22no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59—41no—
777C22×C59—41no—
778C22×C59—41no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
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×C59C23×D411yescharacteristic
795C22×C59C22×#4111yescharacteristic
796C22×C59C22×#4111yescharacteristic
797C22×C59C22×#4111yescharacteristic
798C22×C59C22×#4111yescharacteristic
799C22×C59C2×H(5,𝔽2)11yescharacteristic
800C22×C59#58511yescharacteristic
801C2×D59—22no—
802C2×D59—22no—
803C2×D59—22no—
804C2×D59—22no—
805C2×D59—22no—
806C2×D59—22no—
807C2×D59—22no—
808C2×D59—22no—
809C2×D59—22no—
810C2×D59—416no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—41no—
814C2×D59—41no—
815C2×D59#53214yes—
816C4×C59—22no—
817C4×C59—22no—
818C4×C59—22no—
819C4×C59—22no—
820C4×C59—22no—
821C4×C59—41no—
822C4×C59—41no—
823C4×C59—41no—
824C4×C59—41no—
825C4×C59—41no—
826C4×C59#54614yes—
827Dic59—22no—
828Dic59—22no—
829Dic59—22no—
830Dic59—22no—
831Dic59—22no—
832Dic59—22no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838Dic59—41no—
839Dic59—41no—
840Dic59—41no—
841C2×#529—591no—
842C2×#525—591no—
843#2560—591no—
844#2559—591no—
845#2558—591no—
846#2557—591no—
847#2556—591no—
848#2555—591no—
849#2554—591no—
850#2553—591no—
851#2549—591no—
852#2543—591no—
853#2539—591no—
854#2534—591no—
855#2488—591no—
856#2472—591no—
857#2425—591no—
858#2424—591no—
859#2396—591no—
860#2395—591no—
861#2392—591no—
862#2388D5911yescharacteristic, complemented
863C4×#124—591no—
864C4×#123—591no—
865C4×#121—591no—
866C4×#121—591no—
867C4×#120—591no—
868#2297—591no—
869#2293—591no—
870C42×D4—591no—
871C2×C4×C22⋊C4—591no—
872C2×C59—42no—
873C2×C59—42no—
874C2×C59—81no—
875C2×C59—81no—
876C2×C59C2×#53211yescharacteristic
877C2×C59#344411yescharacteristic
878C2×C59#345911yescharacteristic
879C2×C59C2×#54611yescharacteristic
880C2×C59D4×#4111yescharacteristic
881C2×C59#347511yescharacteristic
882C2×C59#348111yescharacteristic
883D59—24no—
884D59—42no—
885C22×#41C2×D5911yescharacteristic
886C24×C4—591no—
887#529—1188no—
888C2×#126—591no—
889C2×#126—591no—
890C2×#125—591no—
891C2×#124—591no—
892C2×#124—591no—
893#525—1188no—
894C2×#123—591no—
895C2×#123—591no—
896C2×#123—591no—
897C2×#123—591no—
898C2×#123—591no—
899C2×C22⋊Q8—591no—
900C2×C22⋊Q8—591no—
901C2×C22⋊Q8—591no—
902C2×#121—591no—
903C2×#121—591no—
904C2×#121—591no—
905C2×#121—591no—
906C2×#121—591no—
907C2×#120—591no—
908C2×#120—591no—
909C2×#120—591no—
910C2×C4×Q8—591no—
911C2×C4×D4—591no—
912C2×C4×D4—591no—
913C2×C4×D4—591no—
914C2×C4×D4—591no—
915C2×C4×D4—591no—
916C2×C4×D4—591no—
917C2×C4×D4—591no—
918C2×C4×D4—591no—
919C2×C4×D4C2×D5911yescharacteristic
920C2×C4×D4C2×D5911yescharacteristic, complemented
921C2×C4×D4C2×D5911yescharacteristic, complemented
922C2×#117—591no—
923C2×#117—591no—
924C2×#117—591no—
925C22×C22⋊C4—591no—
926C22×C22⋊C4—591no—
927C22×C42—591no—
928C22×C42—591no—
929C22×C42—591no—
930#400—591no—
931#400—591no—
932#399—591no—
933#399—591no—
934#398—591no—
935#398—591no—
936#398—591no—
937#398—591no—
938#397—591no—
939#397—591no—
940#397—591no—
941#397—591no—
942#396—591no—
943#396—591no—
944#396—591no—
945#396—591no—
946#395—591no—
947#395C2×D5911yescharacteristic, complemented
948#394—591no—
949#394—591no—
950#394—591no—
951#394—591no—
952#394—591no—
953#394C2×D5911yescharacteristic
954#394C2×D5911yescharacteristic
955#394C2×D5911yescharacteristic, complemented
956#393—591no—
957#393C2×D5911yescharacteristic, complemented
958#392—591no—
959#392C2×D5911yescharacteristic
960#392C2×D5911yescharacteristic
961#392C2×D5911yescharacteristic, complemented
962#391—591no—
963#391—591no—
964#391—591no—
965#390—591no—
966#390—591no—
967#390—591no—
968#390—591no—
969#390—591no—
970#390—591no—
971#390—591no—
972#389—591no—
973#389—591no—
974#389—591no—
975#389—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388—591no—
982#388—591no—
983#388—591no—
984#388—591no—
985#388—591no—
986#388—591no—
987#388—591no—
988#388—591no—
989#388—591no—
990#387—591no—
991#387—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#382—591no—
1009#381—591no—
1010#380—591no—
1011#380—591no—
1012#379—591no—
1013C4×C4⋊C4—591no—
1014C4×C4⋊C4—591no—
1015C4×C4⋊C4—591no—
1016C4×C4⋊C4—591no—
1017C4×C4⋊C4—591no—
1018C4×C4⋊C4—591no—
1019C4×C22⋊C4—591no—
1020C4×C22⋊C4—591no—
1021C4×C22⋊C4—591no—
1022C4×C22⋊C4—591no—
1023C4×C22⋊C4—591no—
1024C4×C22⋊C4—591no—
1025C4×C22⋊C4—591no—
1026C4×C22⋊C4—591no—
1027C4×C22⋊C4—591no—
1028C4×C22⋊C4—591no—
1029C4×C22⋊C4—591no—
1030C4×C22⋊C4—591no—
1031C4×C22⋊C4—591no—
1032C4×C22⋊C4—591no—
1033C4×C22⋊C4—591no—
1034C4×C22⋊C4—591no—
1035C4×C22⋊C4—591no—
1036C4×C22⋊C4C2×D5911yescharacteristic
1037C4×C22⋊C4C2×D5911yescharacteristic, complemented
1038C4×C22⋊C4C2×D5911yescharacteristic, complemented
1039C2×#95—591no—
1040C2×#95—591no—
1041C43—591no—
1042C59#3482911yescharacteristic, complemented, Sylow
1043C25—591no—
1044C2×#41—24no—
1045C2×#41—24no—
1046C2×#41—42no—
1047C22×Q8—591no—
1048C22×Q8C22×D5911yescharacteristic
1049C22×D4—591no—
1050C22×D4—591no—
1051C22×D4—591no—
1052C22×D4—591no—
1053C22×D4—591no—
1054C22×D4—591no—
1055C22×D4C22×D5911yescharacteristic
1056C22×D4C22×D5911yescharacteristic
1057C22×D4C22×D5911yescharacteristic
1058C22×D4C22×D5911yescharacteristic
1059C22×D4C22×D5911yescharacteristic
1060C22×D4C22×D5911yescharacteristic
1061C23×C4—591no—
1062C23×C4—591no—
1063C23×C4—591no—
1064C23×C4—591no—
1065C23×C4—591no—
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4—1184no—
1073C23×C4—1184no—
1074C23×C4—2362no—
1075C23×C4C22×D5911yescharacteristic
1076C23×C4C22×D5911yescharacteristic
1077C23×C4C22×D5911yescharacteristic
1078C23×C4C22×D5911yescharacteristic
1079#126—1184no—
1080#126—1184no—
1081#125—1184no—
1082#124—1184no—
1083#124—1184no—
1084#123—1184no—
1085#123—1184no—
1086#123—1184no—
1087#123—1184no—
1088#123—1184no—
1089C22⋊Q8—1184no—
1090C22⋊Q8—1184no—
1091C22⋊Q8—1184no—
1092#121—1184no—
1093#121—1184no—
1094#121—1184no—
1095#121—1184no—
1096#121—1184no—
1097#120—1184no—
1098#120—1184no—
1099#120—1184no—
1100C4×Q8—1184no—
1101C4×D4—24no—
1102C4×D4—24no—
1103C4×D4—42no—
1104C4×D4—598no—
1105C4×D4—1184no—
1106C4×D4—1184no—
1107C4×D4—1184no—
1108C4×D4—1184no—
1109C4×D4—1184no—
1110C4×D4—1184no—
1111C4×D4—2362no—
1112#117—1184no—
1113#117—1184no—
1114#117—1184no—
1115C2×C4⋊C4—591no—
1116C2×C4⋊C4—591no—
1117C2×C4⋊C4—591no—
1118C2×C4⋊C4—591no—
1119C2×C4⋊C4—591no—
1120C2×C4⋊C4—591no—
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⋊C4C22×D5911yescharacteristic
1139C2×C4⋊C4C22×D5911yescharacteristic
1140C2×C4⋊C4C22×D5911yescharacteristic
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—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—1184no—
1178C2×C22⋊C4—1184no—
1179C2×C22⋊C4C22×D5911yescharacteristic
1180C2×C22⋊C4C22×D5911yescharacteristic
1181C2×C22⋊C4C22×D5911yescharacteristic
1182C2×C22⋊C4C22×D5911yescharacteristic
1183C2×C22⋊C4C22×D5911yescharacteristic
1184C2×C22⋊C4C22×D5911yescharacteristic
1185C2×C22⋊C4C22×D5911yescharacteristic
1186C2×C22⋊C4C22×D5911yescharacteristic
1187C2×C22⋊C4C22×D5911yescharacteristic
1188C2×C22⋊C4C22×D5911yescharacteristic
1189C2×C22⋊C4C22×D5911yescharacteristic
1190C2×C22⋊C4C22×D5911yescharacteristic
1191C2×C42—591no—
1192C2×C42—591no—
1193C2×C42—591no—
1194C2×C42—591no—
1195C2×C42—591no—
1196C2×C42—591no—
1197C2×C42—591no—
1198C2×C42—591no—
1199C2×C42—591no—
1200C2×C42—591no—
1201C2×C42—591no—
1202C2×C42—591no—
1203C2×C42—591no—
1204C2×C42—591no—
1205C2×C42—591no—
1206C2×C42—591no—
1207C2×C42—1184no—
1208C2×C42—2362no—
1209C2×C42—2362no—
1210C2×C42C22×D5911yescharacteristic
1211C2×C42C22×D5911yescharacteristic
1212C2×C42C22×D5911yescharacteristic
1213#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#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#95C22×D5911yescharacteristic
1240#95C22×D5911yescharacteristic
1241#95C22×D5911yescharacteristic
1242#95C22×D5911yescharacteristic
1243#95C22×D5911yescharacteristic
1244#95C22×D5911yescharacteristic
1245C24—591no—
1246C24—591no—
1247C24—1182no—
1248C24—1182no—
1249C24—1182no—
1250C24—1182no—
1251C24—1182no—
1252C24—2361no—
1253C24—2361no—
1254C24C23×D5911yescharacteristic
1255C24C23×D5911yescharacteristic
1256C24C23×D5911yescharacteristic
1257C24C23×D5911yescharacteristic
1258#41—416no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—41no—
1262C2×Q8—1182no—
1263C2×Q8—1182no—
1264C2×Q8—2361no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—594no—
1284C2×D4—1182no—
1285C2×D4—1182no—
1286C2×D4—1182no—
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—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—591no—
1312C22×C4—591no—
1313C22×C4—591no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—591no—
1317C22×C4—594no—
1318C22×C4—594no—
1319C22×C4—591no—
1320C22×C4—591no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—591no—
1325C22×C4—591no—
1326C22×C4—591no—
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—1182no—
1339C22×C4—1182no—
1340C22×C4—1182no—
1341C22×C4—1182no—
1342C22×C4—1182no—
1343C22×C4—1182no—
1344C22×C4—1182no—
1345C22×C4—1182no—
1346C22×C4—1182no—
1347C22×C4—1182no—
1348C22×C4—2361no—
1349C22×C4—2361no—
1350C22×C4—2361no—
1351C22×C4—2361no—
1352C22×C4—2361no—
1353C22×C4—2361no—
1354C22×C4—23616no—
1355C22×C4—2361no—
1356C22×C4—2361no—
1357C22×C4—2361no—
1358C22×C4—2361no—
1359C22×C4D4×D5914yes—
1360C22×C4#1174568714yes—
1361C22×C4C23×D5911yescharacteristic
1362C22×C4C23×D5911yescharacteristic
1363C22×C4C23×D5911yescharacteristic
1364C22×C4C23×D5911yescharacteristic
1365C22×C4C23×D5911yescharacteristic
1366C22×C4C23×D5911yescharacteristic
1367C22×C4C23×D5911yescharacteristic
1368C22×C4C23×D5911yescharacteristic
1369C22×C4C23×D5911yescharacteristic
1370C22×C4C23×D5911yescharacteristic
1371C22×C4C23×D5911yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—41no—
1375C4⋊C4—594no—
1376C4⋊C4—1182no—
1377C4⋊C4—1182no—
1378C4⋊C4—1182no—
1379C4⋊C4—1182no—
1380C4⋊C4—1182no—
1381C4⋊C4—1182no—
1382C4⋊C4—1182no—
1383C4⋊C4—1182no—
1384C4⋊C4—1182no—
1385C4⋊C4—1182no—
1386C4⋊C4—1182no—
1387C4⋊C4—1182no—
1388C4⋊C4—1182no—
1389C4⋊C4—1182no—
1390C4⋊C4—1182no—
1391C4⋊C4—1182no—
1392C4⋊C4—1182no—
1393C4⋊C4—1182no—
1394C4⋊C4—1182no—
1395C4⋊C4—2361no—
1396C4⋊C4—2361no—
1397C4⋊C4—2361no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—594no—
1411C22⋊C4—594no—
1412C22⋊C4—594no—
1413C22⋊C4—594no—
1414C22⋊C4—1182no—
1415C22⋊C4—1182no—
1416C22⋊C4—1182no—
1417C22⋊C4—1182no—
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—2361no—
1443C22⋊C4—2361no—
1444C22⋊C4—2361no—
1445C22⋊C4—2361no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—594no—
1450C42—1182no—
1451C42—1182no—
1452C42—1182no—
1453C42—1182no—
1454C42—1182no—
1455C42—1182no—
1456C42—1182no—
1457C42—1182no—
1458C42—1182no—
1459C42—1182no—
1460C42—2361no—
1461C42—2361no—
1462C42—2361no—
1463C42—2361no—
1464C42—2361no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—592no—
1492C23—592no—
1493C23—592no—
1494C23—592no—
1495C23—1188no—
1496C23—1181no—
1497C23—1181no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1181no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—2364no—
1507C23—2364no—
1508C23—2364no—
1509C23—2364no—
1510C23—2364no—
1511C23—2364no—
1512C23C2×D4×D5912yes—
1513C23C2×#1174568712yes—
1514C23C24×D5911yescharacteristic
1515Q8—44no—
1516Q8—2364no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—1188no—
1524D4—2364no—
1525D4—2364no—
1526D4—2364no—
1527D4—2364no—
1528D4—2364no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—28no—
1540C2×C4—28no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—592no—
1559C2×C4—592no—
1560C2×C4—592no—
1561C2×C4—592no—
1562C2×C4—592no—
1563C2×C4—592no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1188no—
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—2364no—
1602C2×C4—2364no—
1603C2×C4—2364no—
1604C2×C4—2364no—
1605C2×C4—2364no—
1606C2×C4—2364no—
1607C2×C4—2364no—
1608C2×C4—2364no—
1609C2×C4—2364no—
1610C2×C4—2364no—
1611C2×C4C2×D4×D5912yes—
1612C2×C4C2×D4×D5912yes—
1613C2×C4#41×D5912yes—
1614C2×C4#41×D5912yes—
1615C2×C4#41×D5912yes—
1616C2×C4C2×#1174568712yes—
1617C2×C4C2×#1174568712yes—
1618C2×C4#1427377212yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—594no—
1648C22—1182no—
1649C22—1182no—
1650C22—1182no—
1651C22—1182no—
1652C22—1182no—
1653C22—1182no—
1654C22—1182no—
1655C22—1182no—
1656C22—1182no—
1657C22—23616no—
1658C22—2361no—
1659C22—2361no—
1660C22—2361no—
1661C22—2361no—
1662C22C22×D4×D5911yescharacteristic
1663C22C2×#41×D5911yescharacteristic
1664C22C2×#41×D5911yescharacteristic
1665C22C2×#41×D5911yescharacteristic
1666C22C22×#1174568711yescharacteristic
1667C22C2×#1427377211yescharacteristic
1668C22#1683823811yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—1182no—
1680C4—1182no—
1681C4—1182no—
1682C4—1182no—
1683C4—1182no—
1684C4—1182no—
1685C4—2361no—
1686C4—2361no—
1687C4—2361no—
1688C4—2361no—
1689C4—2361no—
1690C4—2361no—
1691C4—2361no—
1692C4—2361no—
1693C4#1683803914yes—
1694C2—42no—
1695C2—42no—
1696C2—81no—
1697C2—81no—
1698C2—1184no—
1699C2—2362no—
1700C2#532×D5911yescharacteristic
1701C2#2143739111yescharacteristic
1702C2#2143750311yescharacteristic
1703C2C2×#1683803911yescharacteristic
1704C2#2143757911yescharacteristic
1705C2#2143765611yescharacteristic
1706C2#2143770411yescharacteristic
subgroupG/H
centerC22×C4C23×D59
commutator, socle, cosocleC23×C59C25
FrattiniC23C24×D59
FittingC59×#2388C2
hypercenter#2388D59
hypocenterC59#34829
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ #2388

Complements

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

NH ≅ G/Ntype
1. C2×#16837934C2semidirect
2. C2×#16837909C2semidirect
3. #21429243C2semidirect
4. #21429220C2semidirect
5. #21429211C2semidirect
6. #21429188C2semidirect
7. #21429183C2semidirect
8. #21429166C2semidirect
9. #21429157C2semidirect
10. #21429134C2semidirect
11. #21429101C2semidirect
12. #21429051C2semidirect
13. #21429021C2semidirect
14. #21428981C2semidirect
15. #21428415C2semidirect
16. #21428223C2semidirect
17. #21427648C2semidirect
18. #21427635C2semidirect
19. #21427370C2semidirect
20. #21427356C2semidirect
21. #21427338C2semidirect
22. C4×#14273713C2semidirect
23. C4×#14273709C2semidirect
24. C4×#14273699C2semidirect
25. C4×#14273698C2semidirect
26. C4×#14273695C2semidirect
27. #21426587C2semidirect
28. #21426561C2semidirect
29. C4×(C22⋊D59)⋊C4C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2388C2semidirect
34. C2×#14273720C22semidirect
35. C2×#14273720C22semidirect
36. C2×#14273718C22semidirect
37. C2×#14273714C22semidirect
56. C2×C4×Dic118C22semidirect
66. C2×#14273686C22semidirect
67. C2×#14273686C22semidirect
70. C22×C4×Dic59C22semidirect
73. #16837344C22semidirect
74. #16837342C22semidirect
77. #16837336C22semidirect
78. #16837335C22semidirect
79. #16837334C22semidirect
80. #16837334C22semidirect
81. #16837330C22semidirect
83. #16837327C22semidirect
84. #16837327C22semidirect
87. #16837325C22semidirect
89. #16837323C22semidirect
94. #16837316C22semidirect
97. #16837309C22semidirect
98. #16837309C22semidirect
99. #16837306C22semidirect
104. #16837305C22semidirect
107. #16837301C22semidirect
108. #16837301C22semidirect
109. #16837298C22semidirect
110. #16837297C22semidirect
111. #16837296C22semidirect
112. #16837296C22semidirect
115. #16837295C22semidirect
116. #16837295C22semidirect
117. #16837295C22semidirect
118. #16837295C22semidirect
122. #16837290C22semidirect
123. #16837290C22semidirect
124. #16837290C22semidirect
125. #16837285C22semidirect
126. #16837284C22semidirect
130. #16837282C22semidirect
131. #16837282C22semidirect
132. #16837282C22semidirect
143. #16837266C22semidirect
145. #16837260C22semidirect
148. C4×Dic59⋊C4C22semidirect
149. C4×Dic59⋊C4C22semidirect
150. C4×C4⋊Dic59C22semidirect
151. C4×C4⋊Dic59C22semidirect
152. #16837253C22semidirect
153. #16837253C22semidirect
156. C22⋊C4×Dic59C22semidirect
157. C22⋊C4×Dic59C22semidirect
164. C4×C22⋊Dic59C22semidirect
165. C4×C22⋊Dic59C22semidirect
166. C4×C22⋊Dic59C22semidirect
173. C42×Dic59C22semidirect
176. C2×C4×D4×C59C22semidirect
177. C2×C4×D4×C59C22semidirect
178. C59×#395C22semidirect
181. C59×#394C22semidirect
182. C59×#393C22semidirect
185. C59×#392C22semidirect
187. C4×C22⋊C4×C59C22semidirect
188. C4×C22⋊C4×C59C22semidirect
238. C4×C22⋊D59D4semidirect
514. C2×C4×D59#41semidirect
570. (C2×D59)⋊C4#41semidirect
571. (C2×D59)⋊C4#41semidirect
862. #2388D59semidirect
920. C2×C4×D4C2×D59semidirect
921. C2×C4×D4C2×D59semidirect
947. #395C2×D59semidirect
955. #394C2×D59semidirect
957. #393C2×D59semidirect
961. #392C2×D59semidirect
1037. C4×C22⋊C4C2×D59semidirect
1038. C4×C22⋊C4C2×D59semidirect
1042. C59#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#168379342
C2×#168379092
#214292432
#214292202
#214292112
#214291882
#214291832
#214291662
#214291572
#214291342
#214291012
#214290512
#214290212
#214289812
#214284152
#214282232
#214276482
#214276352
#214273702
#214273562
#214273382
C4×#142737132
C4×#142737092
C4×#142736992
C4×#142736982
C4×#142736952
#214265872
#214265612
C4×(C22⋊D59)⋊C42
C4×C22⋊C4×D592
C59×#23882
#3482959