Finite Group Databasebeta

← #28795687

Subgroups — #28795687

Order 15104.

2450 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838027C211yesmaximal, characteristic, complemented
2C2×#123×D59C211yesmaximal, characteristic
3#21432384C211yesmaximal, characteristic, complemented
4#21432382C211yesmaximal, characteristic, complemented
5#21430522C211yesmaximal, characteristic, complemented
6#21430521C211yesmaximal, characteristic, complemented
7#21430518C211yesmaximal, characteristic, complemented
8#21430517C211yesmaximal, characteristic, complemented
9#21430516C211yesmaximal, characteristic, complemented
10#21430513C211yesmaximal, characteristic, complemented
11#21430512C211yesmaximal, characteristic, complemented
12#21430439C211yesmaximal, characteristic, complemented
13#21430438C211yesmaximal, characteristic, complemented
14#21430437C211yesmaximal, characteristic, complemented
15#21430437C211yesmaximal, characteristic, complemented
16#21430434C211yesmaximal, characteristic, complemented
17#21430434C211yesmaximal, characteristic, complemented
18#21430433C211yesmaximal, characteristic, complemented
19#21430432C211yesmaximal, characteristic, complemented
20#21429914C211yesmaximal, characteristic, complemented
21#21429910C211yesmaximal, characteristic, complemented
22#21429252C211yesmaximal, characteristic, complemented
23#21429250C211yesmaximal, characteristic, complemented
24#21428573C211yesmaximal, characteristic, complemented
25#21428569C211yesmaximal, characteristic, complemented
26#21428375C211yesmaximal, characteristic, complemented
27#21428373C211yesmaximal, characteristic, complemented
28#21427422C211yesmaximal, characteristic
29#21427418C211yesmaximal, characteristic
30#21426690C211yesmaximal, characteristic, complemented
31C59×#2687C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16838027—28no—
35C2×#14273712C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273712C2211yescharacteristic
38C2×#14273711C2211yescharacteristic
39C2×#14273711C2211yescharacteristic
40C2×#14273710C2211yescharacteristic
41C2×#14273709C2211yescharacteristic
42C2×#14273709C2211yescharacteristic
43C2×#14273709C2211yescharacteristic
44C2×#14273708C2211yescharacteristic
45C2×#14273708C2211yescharacteristic
46#123×D59—28no—
47C2×#14273707C2211yescharacteristic
48C2×#14273707C2211yescharacteristic, complemented
49C2×#14273707C2211yescharacteristic, complemented
50C2×#14273706C2211yescharacteristic, complemented
51C2×#14273706C2211yescharacteristic, complemented
52C2×#14273705C2211yescharacteristic
53C2×#14273705C2211yescharacteristic
54C2×#14273705C2211yescharacteristic, complemented
55C2×#14273705C2211yescharacteristic, complemented
56C2×#14273705C2211yescharacteristic, complemented
57C2×#14273704C2211yescharacteristic, complemented
58C2×#14273704C2211yescharacteristic, complemented
59C2×#14273704C2211yescharacteristic, complemented
60C2×#14273703C2211yescharacteristic
61C2×#14273703C2211yescharacteristic, complemented
62C2×C4⋊C4×D59C2211yescharacteristic
63C2×C4⋊C4×D59C2211yescharacteristic
64C22×(C2×D59)⋊C4C2211yescharacteristic
65C2×C22⋊C4×D59C2211yescharacteristic
66C2×C22⋊C4×D59C2211yescharacteristic
67C2×C22⋊C4×D59C2211yescharacteristic
68C2×C22⋊C4×D59C2211yescharacteristic
69#16837344C2211yescharacteristic, complemented
70#16837343C2211yescharacteristic, complemented
71#16837340C2211yescharacteristic, complemented
72#16837336C2211yescharacteristic, complemented
73#16837336C2211yescharacteristic, complemented
74#16837336C2211yescharacteristic, complemented
75#16837336C2211yescharacteristic, complemented
76#16837336C2211yescharacteristic, complemented
77#16837336C2211yescharacteristic, complemented
78#16837335C2211yescharacteristic, complemented
79#16837335C2211yescharacteristic, complemented
80#16837334C2211yescharacteristic, complemented
81#16837334C2211yescharacteristic, complemented
82#16837334C2211yescharacteristic, complemented
83#16837333C2211yescharacteristic, complemented
84#16837332C2211yescharacteristic, complemented
85#16837332C2211yescharacteristic, complemented
86#16837331C2211yescharacteristic, complemented
87#16837331C2211yescharacteristic, complemented
88#16837331C2211yescharacteristic, complemented
89#16837330C2211yescharacteristic, complemented
90#16837330C2211yescharacteristic, complemented
91#16837330C2211yescharacteristic, complemented
92#16837329C2211yescharacteristic, complemented
93#16837329C2211yescharacteristic, complemented
94#16837329C2211yescharacteristic, complemented
95#16837327C2211yescharacteristic, complemented
96#16837327C2211yescharacteristic, complemented
97#16837323C2211yescharacteristic, complemented
98#16837323C2211yescharacteristic, complemented
99#16837322C2211yescharacteristic, complemented
100#16837322C2211yescharacteristic, complemented
101#16837320C2211yescharacteristic
102#16837320C2211yescharacteristic
103#16837318C2211yescharacteristic
104#16837318C2211yescharacteristic
105#16837318C2211yescharacteristic
106#16837317C2211yescharacteristic
107#16837316C2211yescharacteristic
108#16837315C2211yescharacteristic, complemented
109#16837314C2211yescharacteristic, complemented
110#16837313C2211yescharacteristic, complemented
111#16837309C2211yescharacteristic, complemented
112#16837306C2211yescharacteristic, complemented
113#16837306C2211yescharacteristic, complemented
114#16837296C2211yescharacteristic, complemented
115#16837296C2211yescharacteristic, complemented
116#16837295C2211yescharacteristic, complemented
117#16837294C2211yescharacteristic, complemented
118#16837293C2211yescharacteristic, complemented
119#16837293C2211yescharacteristic, complemented
120#16837292C2211yescharacteristic, complemented
121#16837292C2211yescharacteristic, complemented
122#16837291C2211yescharacteristic, complemented
123#16837291C2211yescharacteristic, complemented
124#16837291C2211yescharacteristic, complemented
125#16837290C2211yescharacteristic, complemented
126#16837290C2211yescharacteristic, complemented
127#16837290C2211yescharacteristic, complemented
128#16837281C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837278C2211yescharacteristic
131#16837277C2211yescharacteristic, complemented
132#16837277C2211yescharacteristic, complemented
133#16837277C2211yescharacteristic, complemented
134#16837276C2211yescharacteristic
135#16837276C2211yescharacteristic
136#16837276C2211yescharacteristic
137#16837276C2211yescharacteristic
138#16837276C2211yescharacteristic
139#16837276C2211yescharacteristic
140#16837276C2211yescharacteristic, complemented
141#16837276C2211yescharacteristic, complemented
142#16837276C2211yescharacteristic, complemented
143#16837276C2211yescharacteristic, complemented
144#16837275C2211yescharacteristic, complemented
145#16837274C2211yescharacteristic, complemented
146#16837273C2211yescharacteristic
147#16837273C2211yescharacteristic
148#16837273C2211yescharacteristic, complemented
149#16837273C2211yescharacteristic, complemented
150#16837272C2211yescharacteristic, complemented
151#16837271C2211yescharacteristic, complemented
152#16837271C2211yescharacteristic, complemented
153#16837271C2211yescharacteristic, complemented
154#16837265C2211yescharacteristic, complemented
155#16837264C2211yescharacteristic
156#16837264C2211yescharacteristic
157#16837264C2211yescharacteristic
158#16837264C2211yescharacteristic
159#16837264C2211yescharacteristic, complemented
160#16837264C2211yescharacteristic, complemented
161#16837261C2211yescharacteristic
162#16837261C2211yescharacteristic, complemented
163#16837260C2211yescharacteristic, complemented
164#16837259C2211yescharacteristic
165#16837259C2211yescharacteristic, complemented
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic
168#16837257C2211yescharacteristic
169#16837257C2211yescharacteristic
170#16837257C2211yescharacteristic
171#16837257C2211yescharacteristic
172C4×(C2×D59)⋊C4C2211yescharacteristic
173#16837249C2211yescharacteristic
174C2×#123×C59C2211yescharacteristic
175C2×C22⋊Q8×C59C2211yescharacteristic, complemented
176C59×#400C2211yescharacteristic, complemented
177C59×#398C2211yescharacteristic, complemented
178C59×#398C2211yescharacteristic, complemented
179C59×#397C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic
181C59×#393C2211yescharacteristic, complemented
182C59×#391C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic
186C59×#385C2211yescharacteristic, complemented
187C59×#381C2211yescharacteristic, complemented
188C59×#380C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×Dic118C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C2×D4×D59—24no—
198C2×D4×D59—42no—
199C2×D4×D59—42no—
200C23×Dic59C2311yescharacteristic
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
214#14273712—24no—
215#14273712—24no—
216#14273712—42no—
217#14273711—24no—
218#14273711—42no—
219#14273710—24no—
220#14273709—24no—
221#14273709—24no—
222#14273709—42no—
223#14273708—24no—
224#14273708—42no—
225#14273707—24no—
226#14273707—24no—
227#14273707—42no—
228#14273706—24no—
229#14273706—42no—
230#14273705—24no—
231#14273705—24no—
232#14273705—24no—
233#14273705—24no—
234#14273705—42no—
235#14273704—24no—
236#14273704—24no—
237#14273704—42no—
238#14273703—24no—
239#14273703—24no—
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C4⋊C4×D59—24no—
273C4⋊C4×D59—24no—
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×(C2×D59)⋊C4—24no—
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C22⋊C4×D59—24no—
314C22⋊C4×D59—24no—
315C22⋊C4×D59—24no—
316C22⋊C4×D59D418yes—
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C22×Q8×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352#123×C59—24no—
353C22⋊Q8×C59—24no—
354C2×C4⋊C4×C59C2311yescharacteristic
355C2×C4⋊C4×C59C2311yescharacteristic
356C2×C4⋊C4×C59C2311yescharacteristic
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C42×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376#95×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—22no—
391C23×D59—22no—
392C23×D59—22no—
393C23×D59—22no—
394C23×D59—41no—
395C23×D59—41no—
396C23×D59—41no—
397C23×D59—41no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59C2×D414yes—
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C2×Q8×C59—22no—
405C2×Q8×C59—41no—
406C2×Q8×C59—41no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—41no—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—22no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C22×Dic59—22no—
436C22×Dic59—22no—
437C22×Dic59—22no—
438C22×Dic59—41no—
439C22×Dic59—41no—
440C22×Dic59—41no—
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454D4×D59—416no—
455C2×D236—22no—
456C2×D236—22no—
457C2×D236—41no—
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—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C2×C4×D59—41no—
479C2×C4×D59—416no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59C2×D414yes—
485C2×C4×D59C2×D414yes—
486C2×Dic118—22no—
487C2×Dic118—22no—
488C2×Dic118—22no—
489C2×Dic118—41no—
490C2×Dic118—41no—
491C2×Dic118—41no—
492C2×Dic118—41no—
493C2×Dic118—41no—
494C2×Dic118—41no—
495C4⋊C4×C59—22no—
496C4⋊C4×C59—22no—
497C4⋊C4×C59—22no—
498C4⋊C4×C59—22no—
499C4⋊C4×C59—22no—
500C4⋊C4×C59—41no—
501C4⋊C4×C59—41no—
502C4⋊C4×C59—41no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59C2×D414yes—
513C42×C59—41no—
514C22⋊Dic59—22no—
515C22⋊Dic59—22no—
516C22⋊Dic59—22no—
517C22⋊Dic59—22no—
518C22⋊Dic59—22no—
519C22⋊Dic59—22no—
520C22⋊Dic59—41no—
521C22⋊Dic59—41no—
522C22⋊Dic59—41no—
523C22⋊Dic59C2×D414yes—
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—22no—
532(C2×D59)⋊C4—22no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—22no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4C2×D414yes—
551(C2×D59)⋊C4C2×D414yes—
552C4⋊Dic59—22no—
553C4⋊Dic59—22no—
554C4⋊Dic59—22no—
555C4⋊Dic59—22no—
556C4⋊Dic59—22no—
557C4⋊Dic59—41no—
558C4⋊Dic59—41no—
559C4⋊Dic59—41no—
560C4⋊Dic59—41no—
561C4⋊Dic59—41no—
562C4⋊Dic59—41no—
563C4⋊Dic59—41no—
564Dic59⋊C4—22no—
565Dic59⋊C4—22no—
566Dic59⋊C4—22no—
567Dic59⋊C4—22no—
568Dic59⋊C4—22no—
569Dic59⋊C4—22no—
570Dic59⋊C4—22no—
571Dic59⋊C4—22no—
572Dic59⋊C4—22no—
573Dic59⋊C4—22no—
574Dic59⋊C4—41no—
575Dic59⋊C4—41no—
576Dic59⋊C4—41no—
577Dic59⋊C4—41no—
578Dic59⋊C4—41no—
579Dic59⋊C4—41no—
580Dic59⋊C4—41no—
581Dic59⋊C4—41no—
582Dic59⋊C4—41no—
583Dic59⋊C4—41no—
584C4×Dic59—41no—
585C4×Dic59—41no—
586C4×Dic59—41no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59C22×D412yes—
600C23×C59H(5,𝔽2)12yes—
601C23×C59C2511yescharacteristic
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—28no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—28no—
620C22×D59—44no—
621C22×D59—44no—
622C22×D59—44no—
623C22×D59—44no—
624C22×D59—44no—
625C22×D59—44no—
626C22×D59—44no—
627C22×D59—44no—
628C22×D59—82no—
629C22×D59—82no—
630C22×D59—82no—
631C22×D59—82no—
632C22×D59C22×D412yes—
633C22×D59C22×D412yes—
634C22×D59H(5,𝔽2)12yes—
635C22×D592−1+412yes—
636C22×D592−1+412yes—
637Q8×C59—82no—
638D4×C59—44no—
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—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
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—44no—
677C2×C4×C59—82no—
678C2×C4×C59C22×D412yes—
679C2×C4×C59C22×D412yes—
680C22⋊D59—44no—
681C22⋊D59—44no—
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—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
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—44no—
720C2×Dic59—82no—
721C2×Dic59C22×D412yes—
722C2×Dic59C22×D412yes—
723D236—44no—
724C4×D59—44no—
725C4×D59—44no—
726C4×D59—44no—
727C4×D59—44no—
728C4×D59—44no—
729C4×D59—44no—
730C4×D59—44no—
731C4×D59—82no—
732C4×D59—82no—
733Dic118—82no—
734Dic118—82no—
735Dic118—82no—
736#36720—591nomaximal, Sylow
737C22×C59—22no—
738C22×C59—22no—
739C22×C59—22no—
740C22×C59—22no—
741C22×C59—22no—
742C22×C59—22no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59—41no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59C23×D411yescharacteristic
752C22×C59C2×H(5,𝔽2)11yescharacteristic
753C22×C59C2×H(5,𝔽2)11yescharacteristic
754C22×C59C2×2−1+411yescharacteristic
755C22×C59C2×2−1+411yescharacteristic
756C22×C59#58511yescharacteristic
757C22×C59#58511yescharacteristic
758C2×D59—22no—
759C2×D59—22no—
760C2×D59—22no—
761C2×D59—22no—
762C2×D59—22no—
763C2×D59—22no—
764C2×D59—22no—
765C2×D59—22no—
766C2×D59—22no—
767C2×D59—22no—
768C2×D59—22no—
769C2×D59—22no—
770C2×D59—416no—
771C2×D59—41no—
772C2×D59—41no—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—41no—
779C2×D59—88no—
780C2×D59#53614yes—
781C4×C59—22no—
782C4×C59—22no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789C4×C59—41no—
790C4×C59—41no—
791C4×C59—41no—
792C4×C59—41no—
793C4×C59—41no—
794Dic59—22no—
795Dic59—22no—
796Dic59—41no—
797Dic59—41no—
798Dic59—41no—
799Dic59—41no—
800Dic59—41no—
801Dic59—41no—
802Dic59—41no—
803Dic59—41no—
804Dic59—41no—
805Dic59—41no—
806Dic59—41no—
807C2×#543—591no—
808C22×#123—591no—
809#2848—591no—
810#2848—591no—
811#2687—591no—
812#2687—591no—
813#2687—591no—
814#2687—591no—
815#2687—591no—
816#2687—591no—
817#2687—591no—
818#2687D5911yescharacteristic, complemented
819#2680—591no—
820#2680—591no—
821#2680—591no—
822#2680—591no—
823#2680—591no—
824#2680—591no—
825#2680—591no—
826#2680—591no—
827#2627—591no—
828#2627—591no—
829#2561—591no—
830#2561—591no—
831#2502—591no—
832#2502—591no—
833#2483—591no—
834#2483—591no—
835#2405—591no—
836#2405—591no—
837#2312—591no—
838C2×C59—42no—
839C2×C59—42no—
840C2×C59C2×#53611yescharacteristic
841C2×C59#348411yescharacteristic
842C2×C59#348511yescharacteristic
843C2×C59#353511yescharacteristic
844C2×C59#353511yescharacteristic
845C2×C59#353511yescharacteristic
846C2×C59#353511yescharacteristic
847D59—24no—
848D59—42no—
849D59—42no—
850C23×D4—591no—
851C24×C4—591no—
852#543—1188no—
853C2×#123—591no—
854C2×#123—591no—
855C2×#123—591no—
856C2×#123—591no—
857C2×#123—591no—
858C2×#123—591no—
859C2×#123—591no—
860C2×#123—591no—
861C2×#123—591no—
862C2×#123—591no—
863C2×#123—591no—
864C2×#123—1188no—
865C2×#123C2×D5911yescharacteristic
866C2×C22⋊Q8—591no—
867C2×C22⋊Q8—591no—
868C2×C22⋊Q8—591no—
869C2×C22⋊Q8—591no—
870C2×C22⋊Q8—591no—
871C2×C22⋊Q8—591no—
872C2×C22⋊Q8—591no—
873C2×C22⋊Q8—591no—
874C2×C22⋊Q8—591no—
875C2×C22⋊Q8—591no—
876C2×C22⋊Q8—591no—
877C2×C22⋊Q8—591no—
878C2×C22⋊Q8—591no—
879C2×C22⋊Q8—591no—
880C2×C22⋊Q8—591no—
881C2×C22⋊Q8C2×D5911yescharacteristic, complemented
882C22×C4⋊C4—591no—
883C22×C4⋊C4—591no—
884C22×C22⋊C4—591no—
885C22×C22⋊C4—591no—
886C22×C22⋊C4—591no—
887C22×C22⋊C4—591no—
888C22×C22⋊C4—591no—
889#400—591no—
890#400—591no—
891#400—591no—
892#400C2×D5911yescharacteristic, complemented
893#398—591no—
894#398—591no—
895#398—591no—
896#398—591no—
897#398—591no—
898#398—591no—
899#398—591no—
900#398—591no—
901#398—591no—
902#398—591no—
903#398—591no—
904#398—591no—
905#398—591no—
906#398—591no—
907#398C2×D5911yescharacteristic, complemented
908#398C2×D5911yescharacteristic, complemented
909#397—591no—
910#397—591no—
911#397—591no—
912#397—591no—
913#397—591no—
914#397—591no—
915#397—591no—
916#397—591no—
917#397—591no—
918#397—591no—
919#397—591no—
920#397C2×D5911yescharacteristic, complemented
921#395—591no—
922#395—591no—
923#395—591no—
924#395—591no—
925#394—591no—
926#394—591no—
927#394—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
932#394C2×D5911yescharacteristic
933#393—591no—
934#393—591no—
935#393—591no—
936#393C2×D5911yescharacteristic, complemented
937#391—591no—
938#391—591no—
939#391—591no—
940#391C2×D5911yescharacteristic, complemented
941#388—591no—
942#388—591no—
943#388—591no—
944#388—591no—
945#388—591no—
946#388—591no—
947#388—591no—
948#388—591no—
949#388—591no—
950#388—591no—
951#388—591no—
952#388—591no—
953#388—591no—
954#388—591no—
955#388C2×D5911yescharacteristic, complemented
956#388C2×D5911yescharacteristic, complemented
957#386—591no—
958#386—591no—
959#386—591no—
960#386C2×D5911yescharacteristic
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
967#385—591no—
968#385—591no—
969#385—591no—
970#385—591no—
971#385—591no—
972#385—591no—
973#385—591no—
974#385—591no—
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385—591no—
980#385C2×D5911yescharacteristic, complemented
981#384—591no—
982#384—591no—
983#384—591no—
984#384—591no—
985#381—591no—
986#381—591no—
987#381—591no—
988#381—591no—
989#381—591no—
990#381—591no—
991#381—591no—
992#381C2×D5911yescharacteristic, complemented
993#380—591no—
994#380—591no—
995#380—591no—
996#380—591no—
997#380—591no—
998#380C2×D5911yescharacteristic, complemented
999#379—591no—
1000#379—591no—
1001#379—591no—
1002#379—591no—
1003#379—591no—
1004#379—591no—
1005C4×C22⋊C4—591no—
1006C4×C22⋊C4—591no—
1007C59#3672011yescharacteristic, complemented, Sylow
1008C25—591no—
1009C25—591no—
1010C22×Q8—591no—
1011C22×Q8—591no—
1012C22×Q8—591no—
1013C22×Q8C22×D5911yescharacteristic
1014C22×D4—591no—
1015C22×D4—591no—
1016C22×D4—591no—
1017C22×D4—1184no—
1018C22×D4—2362no—
1019C22×D4—2362no—
1020C22×D4C22×D5911yescharacteristic
1021C23×C4—591no—
1022C23×C4—591no—
1023C23×C4—591no—
1024C23×C4—591no—
1025C23×C4—591no—
1026C23×C4—591no—
1027C23×C4—591no—
1028C23×C4—591no—
1029C23×C4—591no—
1030C23×C4—591no—
1031C23×C4—591no—
1032C23×C4—1184no—
1033C23×C4—2362no—
1034C23×C4—2362no—
1035C23×C4C22×D5911yescharacteristic
1036C23×C4C22×D5911yescharacteristic
1037#123—24no—
1038#123—1184no—
1039#123—1184no—
1040#123—1184no—
1041#123—1184no—
1042#123—1184no—
1043#123—1184no—
1044#123—1184no—
1045#123—2362no—
1046#123—2362no—
1047#123—2362no—
1048#123—2362no—
1049C22⋊Q8—24no—
1050C22⋊Q8—1184no—
1051C22⋊Q8—1184no—
1052C22⋊Q8—1184no—
1053C22⋊Q8—1184no—
1054C22⋊Q8—1184no—
1055C22⋊Q8—1184no—
1056C22⋊Q8—1184no—
1057C22⋊Q8—1184no—
1058C22⋊Q8—1184no—
1059C22⋊Q8—1184no—
1060C22⋊Q8—1184no—
1061C22⋊Q8—2362no—
1062C22⋊Q8—2362no—
1063C22⋊Q8—2362no—
1064C22⋊Q8—2362no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—591no—
1071C2×C4⋊C4—591no—
1072C2×C4⋊C4—591no—
1073C2×C4⋊C4—591no—
1074C2×C4⋊C4—591no—
1075C2×C4⋊C4—591no—
1076C2×C4⋊C4—591no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—591no—
1095C2×C4⋊C4—591no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—1184no—
1098C2×C4⋊C4—1184no—
1099C2×C4⋊C4C22×D5911yescharacteristic
1100C2×C4⋊C4C22×D5911yescharacteristic
1101C2×C4⋊C4C22×D5911yescharacteristic
1102C2×C4⋊C4C22×D5911yescharacteristic
1103C2×C4⋊C4C22×D5911yescharacteristic
1104C2×C4⋊C4C22×D5911yescharacteristic
1105C2×C4⋊C4C22×D5911yescharacteristic
1106C2×C4⋊C4C22×D5911yescharacteristic
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—598no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—1184no—
1147C2×C22⋊C4—1184no—
1148C2×C22⋊C4—1184no—
1149C2×C22⋊C4—1184no—
1150C2×C22⋊C4C22×D5911yescharacteristic
1151C2×C22⋊C4C22×D5911yescharacteristic
1152C2×C22⋊C4C22×D5911yescharacteristic
1153C2×C22⋊C4C22×D5911yescharacteristic
1154C2×C22⋊C4C22×D5911yescharacteristic
1155C2×C22⋊C4C22×D5911yescharacteristic
1156C2×C22⋊C4C22×D5911yescharacteristic
1157C2×C22⋊C4C22×D5911yescharacteristic
1158C2×C22⋊C4C22×D5911yescharacteristic
1159C2×C22⋊C4C22×D5911yescharacteristic
1160C2×C42—591no—
1161C2×C42—591no—
1162C2×C42—591no—
1163C2×C42C22×D5911yescharacteristic
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95C22×D5911yescharacteristic
1193#95C22×D5911yescharacteristic
1194#95C22×D5911yescharacteristic
1195#95C22×D5911yescharacteristic
1196#95C22×D5911yescharacteristic
1197#95C22×D5911yescharacteristic
1198#95C22×D5911yescharacteristic
1199#95C22×D5911yescharacteristic
1200#95C22×D5911yescharacteristic
1201#95C22×D5911yescharacteristic
1202#95C22×D5911yescharacteristic
1203#95C22×D5911yescharacteristic
1204C24—591no—
1205C24—591no—
1206C24—591no—
1207C24—594no—
1208C24—1182no—
1209C24—1182no—
1210C24—1182no—
1211C24—1182no—
1212C24—1182no—
1213C24—1182no—
1214C24—1182no—
1215C24—2361no—
1216C24—2361no—
1217C24—2361no—
1218C24—2361no—
1219C24—2361no—
1220C24—2361no—
1221C24C23×D5911yescharacteristic
1222C24C23×D5911yescharacteristic
1223C2×Q8—22no—
1224C2×Q8—41no—
1225C2×Q8—41no—
1226C2×Q8—1182no—
1227C2×Q8—1182no—
1228C2×Q8—1182no—
1229C2×Q8—2361no—
1230C2×Q8—2361no—
1231C2×Q8—2361no—
1232C2×Q8—2361no—
1233C2×Q8—2361no—
1234C2×Q8—2361no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—41no—
1238C2×D4—1182no—
1239C2×D4—1182no—
1240C2×D4—1182no—
1241C2×D4—1182no—
1242C2×D4—1182no—
1243C2×D4—1182no—
1244C2×D4—2361no—
1245C2×D4—2361no—
1246C2×D4—2361no—
1247C2×D4—23616no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—591no—
1255C22×C4—591no—
1256C22×C4—594no—
1257C22×C4—594no—
1258C22×C4—591no—
1259C22×C4—591no—
1260C22×C4—591no—
1261C22×C4—591no—
1262C22×C4—591no—
1263C22×C4—591no—
1264C22×C4—591no—
1265C22×C4—591no—
1266C22×C4—591no—
1267C22×C4—591no—
1268C22×C4—591no—
1269C22×C4—1182no—
1270C22×C4—1182no—
1271C22×C4—1182no—
1272C22×C4—1182no—
1273C22×C4—1182no—
1274C22×C4—1182no—
1275C22×C4—1182no—
1276C22×C4—1182no—
1277C22×C4—1182no—
1278C22×C4—1182no—
1279C22×C4—1182no—
1280C22×C4—1182no—
1281C22×C4—1182no—
1282C22×C4—1182no—
1283C22×C4—2361no—
1284C22×C4—2361no—
1285C22×C4—2361no—
1286C22×C4—2361no—
1287C22×C4—2361no—
1288C22×C4—2361no—
1289C22×C4—2361no—
1290C22×C4—2361no—
1291C22×C4—2361no—
1292C22×C4—2361no—
1293C22×C4—2361no—
1294C22×C4—2361no—
1295C22×C4—2361no—
1296C22×C4—2361no—
1297C22×C4—23616no—
1298C22×C4—2361no—
1299C22×C4—2361no—
1300C22×C4—2361no—
1301C22×C4C23×D5911yescharacteristic
1302C22×C4C23×D5911yescharacteristic
1303C22×C4C23×D5911yescharacteristic
1304C22×C4C23×D5911yescharacteristic
1305C22×C4C23×D5911yescharacteristic
1306C22×C4C23×D5911yescharacteristic
1307C22×C4C23×D5911yescharacteristic
1308C22×C4C23×D5911yescharacteristic
1309C22×C4C23×D5911yescharacteristic
1310C22×C4C23×D5911yescharacteristic
1311C22×C4C23×D5911yescharacteristic
1312C22×C4C23×D5911yescharacteristic
1313C22×C4C23×D5911yescharacteristic
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—1182no—
1323C4⋊C4—1182no—
1324C4⋊C4—1182no—
1325C4⋊C4—1182no—
1326C4⋊C4—1182no—
1327C4⋊C4—1182no—
1328C4⋊C4—1182no—
1329C4⋊C4—1182no—
1330C4⋊C4—1182no—
1331C4⋊C4—1182no—
1332C4⋊C4—1182no—
1333C4⋊C4—1182no—
1334C4⋊C4—1182no—
1335C4⋊C4—1182no—
1336C4⋊C4—1182no—
1337C4⋊C4—2361no—
1338C4⋊C4—2361no—
1339C4⋊C4—2361no—
1340C4⋊C4—2361no—
1341C4⋊C4—2361no—
1342C4⋊C4—2361no—
1343C4⋊C4—2361no—
1344C4⋊C4—2361no—
1345C4⋊C4—2361no—
1346C4⋊C4—2361no—
1347C4⋊C4—2361no—
1348C4⋊C4—2361no—
1349C4⋊C4—2361no—
1350C4⋊C4—2361no—
1351C4⋊C4—2361no—
1352C4⋊C4—2361no—
1353C4⋊C4—2361no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—594no—
1364C22⋊C4—594no—
1365C22⋊C4—594no—
1366C22⋊C4—1182no—
1367C22⋊C4—1182no—
1368C22⋊C4—1182no—
1369C22⋊C4—1182no—
1370C22⋊C4—1182no—
1371C22⋊C4—1182no—
1372C22⋊C4—1182no—
1373C22⋊C4—1182no—
1374C22⋊C4—1182no—
1375C22⋊C4—1182no—
1376C22⋊C4—1182no—
1377C22⋊C4—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—1182no—
1381C22⋊C4—1182no—
1382C22⋊C4—1182no—
1383C22⋊C4—1182no—
1384C22⋊C4—1182no—
1385C22⋊C4—1182no—
1386C22⋊C4—1182no—
1387C22⋊C4—1182no—
1388C22⋊C4—1182no—
1389C22⋊C4—1182no—
1390C22⋊C4—2361no—
1391C22⋊C4—2361no—
1392C22⋊C4—2361no—
1393C22⋊C4—2361no—
1394C22⋊C4—2361no—
1395C22⋊C4—2361no—
1396C22⋊C4—2361no—
1397C22⋊C4—2361no—
1398C22⋊C4—2361no—
1399C22⋊C4—2361no—
1400C22⋊C4—2361no—
1401C22⋊C4D4×D5914yes—
1402C42—41no—
1403C42—2361no—
1404C42—2361no—
1405C42—2361no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—592no—
1419C23—592no—
1420C23—592no—
1421C23—592no—
1422C23—592no—
1423C23—1188no—
1424C23—1188no—
1425C23—1181no—
1426C23—1181no—
1427C23—1181no—
1428C23—1181no—
1429C23—1181no—
1430C23—1181no—
1431C23—1181no—
1432C23—1181no—
1433C23—1181no—
1434C23—1181no—
1435C23—1181no—
1436C23—1181no—
1437C23—1181no—
1438C23—1181no—
1439C23—1181no—
1440C23—1181no—
1441C23—4722no—
1442C23—4722no—
1443C23—4722no—
1444C23—4722no—
1445C23—2364no—
1446C23—2364no—
1447C23—2364no—
1448C23—2364no—
1449C23—2364no—
1450C23—2364no—
1451C23—2364no—
1452C23—2364no—
1453C23C2×D4×D5912yes—
1454C23#1427377312yes—
1455C23C24×D5911yescharacteristic
1456Q8—82no—
1457Q8—4722no—
1458Q8—4722no—
1459Q8—4722no—
1460D4—44no—
1461D4—2364no—
1462D4—2364no—
1463D4—2364no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—44no—
1502C2×C4—82no—
1503C2×C4—592no—
1504C2×C4—592no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—4722no—
1543C2×C4—4722no—
1544C2×C4—4722no—
1545C2×C4—2364no—
1546C2×C4—2364no—
1547C2×C4—2364no—
1548C2×C4—2364no—
1549C2×C4—2364no—
1550C2×C4—2364no—
1551C2×C4—2364no—
1552C2×C4—2364no—
1553C2×C4C2×D4×D5912yes—
1554C2×C4C2×D4×D5912yes—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—594no—
1570C22—1182no—
1571C22—1182no—
1572C22—1182no—
1573C22—1182no—
1574C22—1182no—
1575C22—1182no—
1576C22—1182no—
1577C22—1182no—
1578C22—1182no—
1579C22—1182no—
1580C22—1182no—
1581C22—1182no—
1582C22—4728no—
1583C22—23616no—
1584C22—2361no—
1585C22—2361no—
1586C22—2361no—
1587C22—2361no—
1588C22—2361no—
1589C22—2361no—
1590C22—2361no—
1591C22—2361no—
1592C22C22×D4×D5911yescharacteristic
1593C22H(5,𝔽2)×D5911yescharacteristic
1594C22C2×#1427377311yescharacteristic
1595C222−1+4×D5911yescharacteristic
1596C222−1+4×D5911yescharacteristic
1597C22#1683823711yescharacteristic
1598C22#1683823811yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—1182no—
1613C4—1182no—
1614C4—2361no—
1615C4—2361no—
1616C4—2361no—
1617C4—2361no—
1618C4—2361no—
1619C4—2361no—
1620C4—2361no—
1621C4—2361no—
1622C4—2361no—
1623C4—2361no—
1624C4—2361no—
1625C2—42no—
1626C2—42no—
1627C2—1184no—
1628C2—2362no—
1629C2—2362no—
1630C2#536×D5911yescharacteristic
1631C2#2143772611yescharacteristic
1632C2#2143773311yescharacteristic
1633C2#2143829611yescharacteristic
1634C2#2143829811yescharacteristic
1635C2#2143830311yescharacteristic
1636C2#2143830811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2687C2
prime radicalC22×D4×D59C22
hypercenter#2687D59
hypocenterC59#36720
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2687

Complements

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

NH ≅ G/Ntype
1. C2×#16838027C2semidirect
3. #21432384C2semidirect
4. #21432382C2semidirect
5. #21430522C2semidirect
6. #21430521C2semidirect
7. #21430518C2semidirect
8. #21430517C2semidirect
9. #21430516C2semidirect
10. #21430513C2semidirect
11. #21430512C2semidirect
12. #21430439C2semidirect
13. #21430438C2semidirect
14. #21430437C2semidirect
15. #21430437C2semidirect
16. #21430434C2semidirect
17. #21430434C2semidirect
18. #21430433C2semidirect
19. #21430432C2semidirect
20. #21429914C2semidirect
21. #21429910C2semidirect
22. #21429252C2semidirect
23. #21429250C2semidirect
24. #21428573C2semidirect
25. #21428569C2semidirect
26. #21428375C2semidirect
27. #21428373C2semidirect
30. #21426690C2semidirect
31. C59×#2687C2semidirect
48. C2×#14273707C22semidirect
49. C2×#14273707C22semidirect
50. C2×#14273706C22semidirect
51. C2×#14273706C22semidirect
54. C2×#14273705C22semidirect
55. C2×#14273705C22semidirect
56. C2×#14273705C22semidirect
57. C2×#14273704C22semidirect
58. C2×#14273704C22semidirect
59. C2×#14273704C22semidirect
61. C2×#14273703C22semidirect
69. #16837344C22semidirect
70. #16837343C22semidirect
71. #16837340C22semidirect
72. #16837336C22semidirect
73. #16837336C22semidirect
74. #16837336C22semidirect
75. #16837336C22semidirect
76. #16837336C22semidirect
77. #16837336C22semidirect
78. #16837335C22semidirect
79. #16837335C22semidirect
80. #16837334C22semidirect
81. #16837334C22semidirect
82. #16837334C22semidirect
83. #16837333C22semidirect
84. #16837332C22semidirect
85. #16837332C22semidirect
86. #16837331C22semidirect
87. #16837331C22semidirect
88. #16837331C22semidirect
89. #16837330C22semidirect
90. #16837330C22semidirect
91. #16837330C22semidirect
92. #16837329C22semidirect
93. #16837329C22semidirect
94. #16837329C22semidirect
95. #16837327C22semidirect
96. #16837327C22semidirect
97. #16837323C22semidirect
98. #16837323C22semidirect
99. #16837322C22semidirect
100. #16837322C22semidirect
108. #16837315C22semidirect
109. #16837314C22semidirect
110. #16837313C22semidirect
111. #16837309C22semidirect
112. #16837306C22semidirect
113. #16837306C22semidirect
114. #16837296C22semidirect
115. #16837296C22semidirect
116. #16837295C22semidirect
117. #16837294C22semidirect
118. #16837293C22semidirect
119. #16837293C22semidirect
120. #16837292C22semidirect
121. #16837292C22semidirect
122. #16837291C22semidirect
123. #16837291C22semidirect
124. #16837291C22semidirect
125. #16837290C22semidirect
126. #16837290C22semidirect
127. #16837290C22semidirect
131. #16837277C22semidirect
132. #16837277C22semidirect
133. #16837277C22semidirect
140. #16837276C22semidirect
141. #16837276C22semidirect
142. #16837276C22semidirect
143. #16837276C22semidirect
144. #16837275C22semidirect
145. #16837274C22semidirect
148. #16837273C22semidirect
149. #16837273C22semidirect
150. #16837272C22semidirect
151. #16837271C22semidirect
152. #16837271C22semidirect
153. #16837271C22semidirect
154. #16837265C22semidirect
159. #16837264C22semidirect
160. #16837264C22semidirect
162. #16837261C22semidirect
163. #16837260C22semidirect
165. #16837259C22semidirect
175. C2×C22⋊Q8×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#398C22semidirect
178. C59×#398C22semidirect
179. C59×#397C22semidirect
181. C59×#393C22semidirect
182. C59×#391C22semidirect
183. C59×#388C22semidirect
184. C59×#388C22semidirect
186. C59×#385C22semidirect
187. C59×#381C22semidirect
188. C59×#380C22semidirect
818. #2687D59semidirect
881. C2×C22⋊Q8C2×D59semidirect
892. #400C2×D59semidirect
907. #398C2×D59semidirect
908. #398C2×D59semidirect
920. #397C2×D59semidirect
936. #393C2×D59semidirect
940. #391C2×D59semidirect
955. #388C2×D59semidirect
956. #388C2×D59semidirect
980. #385C2×D59semidirect
992. #381C2×D59semidirect
998. #380C2×D59semidirect
1007. C59#36720semidirect

Maximal subgroups

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

subgroupindex
C2×#168380272
C2×#123×D592
#214323842
#214323822
#214305222
#214305212
#214305182
#214305172
#214305162
#214305132
#214305122
#214304392
#214304382
#214304372
#214304342
#214304332
#214304322
#214299142
#214299102
#214292522
#214292502
#214285732
#214285692
#214283752
#214283732
#214274222
#214274182
#214266902
C59×#26872
#3672059