Finite Group Databasebeta

← #28795564

Subgroups — #28795564

Order 15104.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838017C211yesmaximal, characteristic, complemented
2C2×#16837911C211yesmaximal, characteristic, complemented
3#21432389C211yesmaximal, characteristic, complemented
4#21432384C211yesmaximal, characteristic, complemented
5#21430644C211yesmaximal, characteristic, complemented
6#21430629C211yesmaximal, characteristic, complemented
7#21430590C211yesmaximal, characteristic, complemented
8#21430575C211yesmaximal, characteristic, complemented
9#21430545C211yesmaximal, characteristic, complemented
10#21430500C211yesmaximal, characteristic, complemented
11#21430485C211yesmaximal, characteristic, complemented
12#21430475C211yesmaximal, characteristic, complemented
13#21430409C211yesmaximal, characteristic, complemented
14#21430400C211yesmaximal, characteristic, complemented
15#21430380C211yesmaximal, characteristic, complemented
16#21430375C211yesmaximal, characteristic, complemented
17#21430350C211yesmaximal, characteristic, complemented
18#21430330C211yesmaximal, characteristic, complemented
19#21430320C211yesmaximal, characteristic, complemented
20#21430302C211yesmaximal, characteristic, complemented
21#21430016C211yesmaximal, characteristic, complemented
22#21429937C211yesmaximal, characteristic, complemented
23#21429773C211yesmaximal, characteristic, complemented
24#21429702C211yesmaximal, characteristic, complemented
25#21429675C211yesmaximal, characteristic, complemented
26#21429664C211yesmaximal, characteristic, complemented
27#21429455C211yesmaximal, characteristic, complemented
28#21429276C211yesmaximal, characteristic, complemented
29#21427724C211yesmaximal, characteristic, complemented
30#21427706C211yesmaximal, characteristic, complemented
31C59×#2318C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16838017—28no—
35C2×#14273727C2211yescharacteristic, complemented
36C2×#14273726C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic
38C2×#14273720C2211yescharacteristic, complemented
39C2×#14273715C2211yescharacteristic
40C2×#14273714C2211yescharacteristic
41C2×#14273713C2211yescharacteristic
42C2×#14273713C2211yescharacteristic, complemented
43#16837911—28no—
44C2×#14273712C2211yescharacteristic
45C2×#14273711C2211yescharacteristic
46C2×#14273710C2211yescharacteristic
47C2×#14273710C2211yescharacteristic, complemented
48C2×#14273709C2211yescharacteristic
49C2×#14273707C2211yescharacteristic
50C2×#14273707C2211yescharacteristic
51C2×#14273707C2211yescharacteristic, complemented
52C2×#14273706C2211yescharacteristic
53C2×#14273706C2211yescharacteristic, complemented
54C2×#14273705C2211yescharacteristic
55C2×#14273704C2211yescharacteristic
56C2×#14273701C2211yescharacteristic
57C2×#14273701C2211yescharacteristic, complemented
58C2×#14273700C2211yescharacteristic
59C2×#14273699C2211yescharacteristic
60C2×#14273698C2211yescharacteristic
61C2×#14273697C2211yescharacteristic
62C2×#14273697C2211yescharacteristic
63C2×#14273695C2211yescharacteristic
64C2×C4×Dic118C2211yescharacteristic, complemented
65C2×C4×D236C2211yescharacteristic
66C2×C4×C22⋊D59C2211yescharacteristic
67C2×C4×C22⋊D59C2211yescharacteristic
68C2×#14273684C2211yescharacteristic
69C2×#14273684C2211yescharacteristic, complemented
70#16837342C2211yescharacteristic, complemented
71#16837342C2211yescharacteristic, complemented
72#16837339C2211yescharacteristic
73#16837339C2211yescharacteristic
74#16837339C2211yescharacteristic, complemented
75#16837339C2211yescharacteristic, complemented
76#16837334C2211yescharacteristic, complemented
77#16837334C2211yescharacteristic, complemented
78#16837332C2211yescharacteristic, complemented
79#16837332C2211yescharacteristic, complemented
80#16837329C2211yescharacteristic
81#16837329C2211yescharacteristic, complemented
82#16837327C2211yescharacteristic
83#16837327C2211yescharacteristic
84#16837327C2211yescharacteristic
85#16837327C2211yescharacteristic, complemented
86#16837324C2211yescharacteristic
87#16837324C2211yescharacteristic, complemented
88#16837324C2211yescharacteristic, complemented
89#16837324C2211yescharacteristic, complemented
90#16837323C2211yescharacteristic, complemented
91#16837323C2211yescharacteristic, complemented
92#16837323C2211yescharacteristic, complemented
93#16837323C2211yescharacteristic, complemented
94#16837320C2211yescharacteristic
95#16837320C2211yescharacteristic
96#16837319C2211yescharacteristic
97#16837319C2211yescharacteristic, complemented
98#16837318C2211yescharacteristic
99#16837318C2211yescharacteristic
100#16837318C2211yescharacteristic
101#16837318C2211yescharacteristic
102#16837318C2211yescharacteristic
103#16837318C2211yescharacteristic
104#16837318C2211yescharacteristic
105#16837318C2211yescharacteristic, complemented
106#16837318C2211yescharacteristic, complemented
107#16837318C2211yescharacteristic, complemented
108#16837315C2211yescharacteristic
109#16837315C2211yescharacteristic
110#16837315C2211yescharacteristic
111#16837315C2211yescharacteristic, complemented
112#16837315C2211yescharacteristic, complemented
113#16837315C2211yescharacteristic, complemented
114#16837312C2211yescharacteristic
115#16837312C2211yescharacteristic
116#16837311C2211yescharacteristic
117#16837311C2211yescharacteristic
118#16837308C2211yescharacteristic, complemented
119#16837304C2211yescharacteristic
120#16837304C2211yescharacteristic
121#16837303C2211yescharacteristic
122#16837303C2211yescharacteristic
123#16837301C2211yescharacteristic, complemented
124#16837301C2211yescharacteristic, complemented
125#16837300C2211yescharacteristic, complemented
126#16837294C2211yescharacteristic
127#16837294C2211yescharacteristic
128#16837294C2211yescharacteristic
129#16837294C2211yescharacteristic
130#16837294C2211yescharacteristic, complemented
131#16837294C2211yescharacteristic, complemented
132#16837293C2211yescharacteristic
133#16837293C2211yescharacteristic, complemented
134#16837287C2211yescharacteristic, complemented
135#16837287C2211yescharacteristic, complemented
136#16837287C2211yescharacteristic, complemented
137#16837287C2211yescharacteristic, complemented
138#16837287C2211yescharacteristic, complemented
139#16837287C2211yescharacteristic, complemented
140#16837281C2211yescharacteristic
141#16837281C2211yescharacteristic
142#16837281C2211yescharacteristic
143#16837281C2211yescharacteristic, complemented
144#16837280C2211yescharacteristic
145#16837280C2211yescharacteristic
146#16837280C2211yescharacteristic
147#16837280C2211yescharacteristic
148#16837280C2211yescharacteristic
149#16837280C2211yescharacteristic
150#16837280C2211yescharacteristic, complemented
151#16837280C2211yescharacteristic, complemented
152#16837277C2211yescharacteristic
153#16837277C2211yescharacteristic
154#16837276C2211yescharacteristic
155#16837276C2211yescharacteristic
156#16837276C2211yescharacteristic
157#16837276C2211yescharacteristic
158#16837276C2211yescharacteristic
159#16837276C2211yescharacteristic
160#16837276C2211yescharacteristic
161#16837276C2211yescharacteristic
162#16837276C2211yescharacteristic, complemented
163#16837276C2211yescharacteristic, complemented
164#16837276C2211yescharacteristic, complemented
165#16837276C2211yescharacteristic, complemented
166#16837263C2211yescharacteristic
167#16837262C2211yescharacteristic, complemented
168#16837262C2211yescharacteristic, complemented
169#16837259C2211yescharacteristic
170#16837259C2211yescharacteristic
171#16837257C2211yescharacteristic
172#16837257C2211yescharacteristic
173#16837257C2211yescharacteristic
174C2×C4×D4×C59C2211yescharacteristic
175C59×#388C2211yescharacteristic
176C59×#388C2211yescharacteristic
177C59×#387C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#386C2211yescharacteristic
180C59×#386C2211yescharacteristic
181C59×#385C2211yescharacteristic, complemented
182C59×#385C2211yescharacteristic, complemented
183C59×#383C2211yescharacteristic, complemented
184C59×#382C2211yescharacteristic, complemented
185C59×#381C2211yescharacteristic
186C59×#380C2211yescharacteristic
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C2×#95×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C2×#11745685—24no—
191C2×#11745685—42no—
192C2×#11745685—42no—
193C22×Dic118C2311yescharacteristic
194C22×Dic118C2311yescharacteristic
195C22×Dic118C2311yescharacteristic
196C22×Dic118C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C22×C4×D59—24no—
210C22×C4×D59—42no—
211C22×C4×D59—42no—
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218#14273727—42no—
219#14273726—24no—
220#14273720—24no—
221#14273720—24no—
222#14273715—42no—
223#14273714—24no—
224#14273713—24no—
225#14273713—24no—
226#14273712—24no—
227#14273711—42no—
228#14273710—24no—
229#14273710—24no—
230#14273709—24no—
231#14273707—24no—
232#14273707—42no—
233#14273707—42no—
234#14273706—24no—
235#14273706—24no—
236#14273705—24no—
237#14273704—24no—
238#14273701—42no—
239#14273701—42no—
240#14273700—24no—
241#14273699—24no—
242#14273698—24no—
243#14273697—24no—
244#14273697—42no—
245#14273695—24no—
246C4×Dic118—24no—
247C4×D236—24no—
248C4×C22⋊D59—24no—
249C4×C22⋊D59—24no—
250#14273684—24no—
251#14273684—24no—
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×C4⋊Dic59C2311yescharacteristic
263C2×C4⋊Dic59C2311yescharacteristic
264C2×C4⋊Dic59C2311yescharacteristic
265C2×C4⋊Dic59C2311yescharacteristic
266C2×C4⋊Dic59C2311yescharacteristic
267C2×C4⋊Dic59C2311yescharacteristic
268C2×C4⋊Dic59C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
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×(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
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2311yescharacteristic
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
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
349C22×D4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353C23×C4×C59C2311yescharacteristic
354C4×D4×C59D418yescomplemented
355C2×C4⋊C4×C59C2311yescharacteristic
356C2×C4⋊C4×C59C2311yescharacteristic
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊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×C42×C59C2311yescharacteristic
369C2×C42×C59C2311yescharacteristic
370C2×C42×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×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—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C23×D59C2411yescharacteristic
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59C2×D414yes—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59—41no—
405C22×C4×C59—41no—
406C22×C4×C59—41no—
407C22×C4×C59—41no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—41no—
411C22×C4×C59C2×D414yes—
412C22×C4×C59C2×D414yes—
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
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
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C22×Dic59—22no—
445C22×Dic59—22no—
446C22×Dic59—41no—
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459#11745685—416no—
460C2×D236—22no—
461C2×D236—22no—
462C2×D236—22no—
463C2×D236—22no—
464C2×D236—22no—
465C2×D236—22no—
466C2×D236—41no—
467C2×D236—41no—
468C2×D236—41no—
469C2×D236—41no—
470C2×D236—41no—
471C2×D236—41no—
472C2×D236—41no—
473C2×D236—41no—
474C2×D236—41no—
475C2×C4×D59—22no—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—416no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59—41no—
494C2×Dic118—22no—
495C2×Dic118—22no—
496C2×Dic118—22no—
497C2×Dic118—22no—
498C2×Dic118—22no—
499C2×Dic118—41no—
500C2×Dic118—41no—
501C2×Dic118—41no—
502C2×Dic118—41no—
503C2×Dic118—41no—
504C2×Dic118—41no—
505C2×Dic118—41no—
506C4⋊C4×C59—41no—
507C4⋊C4×C59—41no—
508C4⋊C4×C59—41no—
509C4⋊C4×C59—41no—
510C4⋊C4×C59C2×D414yes—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59C2×D414yes—
518C22⋊C4×C59C2×D414yes—
519C42×C59—41no—
520C42×C59—41no—
521C42×C59C2×D414yes—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—22no—
526C22⋊Dic59—22no—
527C22⋊Dic59—22no—
528C22⋊Dic59—22no—
529C22⋊Dic59—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—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
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)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4—41no—
566C4⋊Dic59—22no—
567C4⋊Dic59—22no—
568C4⋊Dic59—22no—
569C4⋊Dic59—22no—
570C4⋊Dic59—22no—
571C4⋊Dic59—22no—
572C4⋊Dic59—22no—
573C4⋊Dic59—41no—
574C4⋊Dic59—41no—
575C4⋊Dic59—41no—
576C4⋊Dic59—41no—
577C4⋊Dic59—41no—
578C4⋊Dic59—41no—
579C4⋊Dic59—41no—
580C4⋊Dic59—41no—
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—
593C4×Dic59—22no—
594C4×Dic59—22no—
595C4×Dic59—22no—
596C4×Dic59—22no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59C22×D412yes—
610C23×C59C22×D412yes—
611C23×C59C2511yescharacteristic
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—44no—
639C22×D59—44no—
640C22×D59—44no—
641C22×D59—44no—
642C22×D59—44no—
643C22×D59—44no—
644C22×D59—44no—
645C22×D59H(5,𝔽2)12yes—
646C22×D592−1+412yes—
647D4×C59—44no—
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—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—44no—
683C2×C4×C59—44no—
684C2×C4×C59—82no—
685C2×C4×C59—82no—
686C2×C4×C59C22×D412yes—
687C2×C4×C59C22×D412yes—
688C2×C4×C59C22×D412yes—
689C2×C4×C59C22×D412yes—
690C2×C4×C59C22×D412yes—
691C22⋊D59—44no—
692C22⋊D59—44no—
693C22⋊D59—44no—
694C22⋊D59—44no—
695C22⋊D59—82no—
696C22⋊D59—82no—
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—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—44no—
733C2×Dic59H(5,𝔽2)12yes—
734D236—44no—
735D236—44no—
736D236—82no—
737D236—82no—
738D236—82no—
739C4×D59—28no—
740C4×D59—44no—
741C4×D59—44no—
742C4×D59—44no—
743C4×D59—44no—
744C4×D59—44no—
745Dic118—44no—
746Dic118—44no—
747Dic118—82no—
748Dic118—82no—
749#36712—591nomaximal, Sylow
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—22no—
754C22×C59—22no—
755C22×C59—22no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59C23×D411yescharacteristic
765C22×C59C2×H(5,𝔽2)11yescharacteristic
766C22×C59C2×H(5,𝔽2)11yescharacteristic
767C22×C59C2×2−1+411yescharacteristic
768C22×C59#58511yescharacteristic
769C22×C59#58511yescharacteristic
770C22×C59#58511yescharacteristic
771C2×D59—22no—
772C2×D59—22no—
773C2×D59—22no—
774C2×D59—22no—
775C2×D59—22no—
776C2×D59—22no—
777C2×D59—416no—
778C2×D59—41no—
779C2×D59—41no—
780C2×D59—41no—
781C2×D59—41no—
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—41no—
798C2×D59—41no—
799C2×D59—41no—
800C4×C59—22no—
801C4×C59—22no—
802C4×C59—22no—
803C4×C59—22no—
804C4×C59—22no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812C4×C59—41no—
813Dic59—22no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824Dic59—41no—
825C2×#542—591no—
826C2×#525—591no—
827#2849—591no—
828#2848—591no—
829#2696—591no—
830#2695—591no—
831#2692—591no—
832#2691—591no—
833#2689—591no—
834#2686—591no—
835#2685—591no—
836#2684—591no—
837#2677—591no—
838#2676—591no—
839#2674—591no—
840#2674—591no—
841#2672—591no—
842#2671—591no—
843#2670—591no—
844#2668—591no—
845#2638—591no—
846#2630—591no—
847#2609—591no—
848#2602—591no—
849#2599—591no—
850#2598—591no—
851#2580—591no—
852#2564—591no—
853#2432—591no—
854#2430—591no—
855#2318D5911yescharacteristic, complemented
856C2×C59—42no—
857C2×C59—42no—
858C2×C59#344911yescharacteristic
859C2×C59#348411yescharacteristic
860C2×C59#348911yescharacteristic
861C2×C59#353311yescharacteristic
862C2×C59#353511yescharacteristic
863C2×C59#354011yescharacteristic
864C2×C59#354111yescharacteristic
865D59—42no—
866D59—42no—
867D59—81no—
868D59—81no—
869C22×#41—591no—
870C24×C4—591no—
871#542—1188no—
872C2×C4⋊Q8—591no—
873C2×C4⋊Q8—591no—
874C2×#126—591no—
875C2×#126—591no—
876C2×#124—591no—
877C2×#124—591no—
878C2×#124—591no—
879C2×#124—591no—
880#525—1188no—
881C2×#123—591no—
882C2×#123—591no—
883C2×#123—591no—
884C2×#123—591no—
885C2×#123—591no—
886C2×C22⋊Q8—591no—
887C2×C22⋊Q8—591no—
888C2×C22⋊Q8—591no—
889C2×C22⋊Q8—591no—
890C2×C22⋊Q8—591no—
891C2×C22⋊Q8—591no—
892C2×C22⋊Q8—591no—
893C2×#121—591no—
894C2×#121—591no—
895C2×#121—591no—
896C2×#121—591no—
897C2×#121—591no—
898C2×#120—591no—
899C2×#120—591no—
900C2×#120—591no—
901C2×C4×Q8—591no—
902C2×C4×D4—591no—
903C2×C4×D4—591no—
904C2×C4×D4—591no—
905C2×C4×D4C2×D5911yescharacteristic
906C2×#117—591no—
907C2×#117—591no—
908#400—591no—
909#400—591no—
910#399—591no—
911#399—591no—
912#399—591no—
913#399—591no—
914#398—591no—
915#398—591no—
916#398—591no—
917#398—591no—
918#397—591no—
919#397—591no—
920#397—591no—
921#397—591no—
922#397—591no—
923#397—591no—
924#396—591no—
925#396—591no—
926#396—591no—
927#396—591no—
928#395—591no—
929#395—591no—
930#395—591no—
931#395—591no—
932#394—591no—
933#394—591no—
934#394—591no—
935#394—591no—
936#394—591no—
937#394—591no—
938#394—591no—
939#394—591no—
940#394—591no—
941#394—591no—
942#394—591no—
943#394—591no—
944#394—591no—
945#394—591no—
946#393—591no—
947#393—591no—
948#393—591no—
949#393—591no—
950#393—591no—
951#393—591no—
952#392—591no—
953#392—591no—
954#392—591no—
955#392—591no—
956#391—591no—
957#390—591no—
958#390—591no—
959#390—591no—
960#390—591no—
961#389—591no—
962#389—591no—
963#389—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388C2×D5911yescharacteristic
973#388C2×D5911yescharacteristic
974#387—591no—
975#387—591no—
976#387—591no—
977#387—591no—
978#387—591no—
979#387—591no—
980#387C2×D5911yescharacteristic, complemented
981#387C2×D5911yescharacteristic, complemented
982#386—591no—
983#386—591no—
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386C2×D5911yescharacteristic
995#386C2×D5911yescharacteristic
996#385—591no—
997#385—591no—
998#385—591no—
999#385—591no—
1000#385—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#385C2×D5911yescharacteristic, complemented
1011#385C2×D5911yescharacteristic, complemented
1012#383C2×D5911yescharacteristic, complemented
1013#382C2×D5911yescharacteristic, complemented
1014#381—591no—
1015#381C2×D5911yescharacteristic
1016#380—591no—
1017#380—591no—
1018#380—591no—
1019#380—591no—
1020#380C2×D5911yescharacteristic
1021#379—591no—
1022#379—591no—
1023#379—591no—
1024C4×C22⋊C4C2×D5911yescharacteristic, complemented
1025C2×#95C2×D5911yescharacteristic, complemented
1026C59#3671211yescharacteristic, complemented, Sylow
1027C25—591no—
1028C2×#41—1184no—
1029C2×#41—2362no—
1030C2×#41—2362no—
1031C22×Q8—591no—
1032C22×Q8—591no—
1033C22×Q8—591no—
1034C22×Q8—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4—591no—
1038C22×D4—591no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4—591no—
1042C22×D4—591no—
1043C22×D4—591no—
1044C22×D4—591no—
1045C22×D4—591no—
1046C22×D4C22×D5911yescharacteristic
1047C23×C4—591no—
1048C23×C4—591no—
1049C23×C4—591no—
1050C23×C4—591no—
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4—591no—
1054C23×C4—1184no—
1055C23×C4—2362no—
1056C23×C4—2362no—
1057C23×C4C22×D5911yescharacteristic
1058C23×C4C22×D5911yescharacteristic
1059C23×C4C22×D5911yescharacteristic
1060C23×C4C22×D5911yescharacteristic
1061C4⋊Q8—1184no—
1062C4⋊Q8—2362no—
1063#126—1184no—
1064#126—1184no—
1065#124—1184no—
1066#124—1184no—
1067#124—1184no—
1068#124—2362no—
1069#123—1184no—
1070#123—1184no—
1071#123—1184no—
1072#123—1184no—
1073#123—2362no—
1074C22⋊Q8—1184no—
1075C22⋊Q8—1184no—
1076C22⋊Q8—1184no—
1077C22⋊Q8—1184no—
1078C22⋊Q8—1184no—
1079C22⋊Q8—2362no—
1080C22⋊Q8—2362no—
1081#121—1184no—
1082#121—1184no—
1083#121—1184no—
1084#121—2362no—
1085#121—2362no—
1086#120—1184no—
1087#120—1184no—
1088#120—2362no—
1089C4×Q8—1184no—
1090C4×D4—1184no—
1091C4×D4—1184no—
1092C4×D4—1184no—
1093C4×D4D23618yescomplemented
1094#117—1184no—
1095#117—1184no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—591no—
1110C2×C4⋊C4—591no—
1111C2×C4⋊C4—591no—
1112C2×C4⋊C4—591no—
1113C2×C4⋊C4—591no—
1114C2×C4⋊C4—591no—
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⋊C4C22×D5911yescharacteristic
1124C2×C4⋊C4C22×D5911yescharacteristic
1125C2×C4⋊C4C22×D5911yescharacteristic
1126C2×C4⋊C4C22×D5911yescharacteristic
1127C2×C4⋊C4C22×D5911yescharacteristic
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—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⋊C4C22×D5911yescharacteristic
1173C2×C22⋊C4C22×D5911yescharacteristic
1174C2×C22⋊C4C22×D5911yescharacteristic
1175C2×C22⋊C4C22×D5911yescharacteristic
1176C2×C22⋊C4C22×D5911yescharacteristic
1177C2×C22⋊C4C22×D5911yescharacteristic
1178C2×C22⋊C4C22×D5911yescharacteristic
1179C2×C22⋊C4C22×D5911yescharacteristic
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—591no—
1184C2×C42C22×D5911yescharacteristic
1185C2×C42C22×D5911yescharacteristic
1186C2×C42C22×D5911yescharacteristic
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95C22×D5911yescharacteristic
1210#95C22×D5911yescharacteristic
1211#95C22×D5911yescharacteristic
1212#95C22×D5911yescharacteristic
1213#95C22×D5911yescharacteristic
1214#95C22×D5911yescharacteristic
1215#95C22×D5911yescharacteristic
1216#95C22×D5911yescharacteristic
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219#95C22×D5911yescharacteristic
1220#95C22×D5911yescharacteristic
1221#95C22×D5911yescharacteristic
1222#95C22×D5911yescharacteristic
1223C24—591no—
1224C24—591no—
1225C24—591no—
1226C24—591no—
1227C24—1182no—
1228C24—1182no—
1229C24—1182no—
1230C24—2361no—
1231C24—2361no—
1232C24—2361no—
1233C24—2361no—
1234C24C23×D5911yescharacteristic
1235C24C23×D5911yescharacteristic
1236#41—23616no—
1237C2×Q8—1182no—
1238C2×Q8—1182no—
1239C2×Q8—1182no—
1240C2×Q8—1182no—
1241C2×Q8—1182no—
1242C2×Q8—2361no—
1243C2×Q8—2361no—
1244C2×Q8—2361no—
1245C2×Q8—2361no—
1246C2×Q8—2361no—
1247C2×Q8—2361no—
1248C2×Q8—2361no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—1182no—
1252C2×D4—1182no—
1253C2×D4—1182no—
1254C2×D4—1182no—
1255C2×D4—1182no—
1256C2×D4—1182no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
1261C2×D4—1182no—
1262C2×D4—1182no—
1263C2×D4—1182no—
1264C2×D4—1182no—
1265C2×D4—1182no—
1266C2×D4—2361no—
1267C2×D4—2361no—
1268C2×D4—2361no—
1269C2×D4—2361no—
1270C2×D4—2361no—
1271C2×D4—2361no—
1272C2×D4—2361no—
1273C2×D4—2361no—
1274C2×D4—2361no—
1275C2×D4—2361no—
1276C2×D4—2361no—
1277C2×D4—2361no—
1278C2×D4—2361no—
1279C2×D4—2361no—
1280C2×D4—2361no—
1281C2×D4—2361no—
1282C2×D4—2361no—
1283C2×D4—2361no—
1284C2×D4C2×D23614yes—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—591no—
1296C22×C4—591no—
1297C22×C4—591no—
1298C22×C4—591no—
1299C22×C4—591no—
1300C22×C4—591no—
1301C22×C4—591no—
1302C22×C4—591no—
1303C22×C4—591no—
1304C22×C4—591no—
1305C22×C4—591no—
1306C22×C4—591no—
1307C22×C4—1182no—
1308C22×C4—1182no—
1309C22×C4—1182no—
1310C22×C4—1182no—
1311C22×C4—1182no—
1312C22×C4—1182no—
1313C22×C4—1182no—
1314C22×C4—1182no—
1315C22×C4—1182no—
1316C22×C4—1182no—
1317C22×C4—1182no—
1318C22×C4—1182no—
1319C22×C4—2361no—
1320C22×C4—2361no—
1321C22×C4—2361no—
1322C22×C4—2361no—
1323C22×C4—2361no—
1324C22×C4—2361no—
1325C22×C4—2361no—
1326C22×C4—2361no—
1327C22×C4—23616no—
1328C22×C4—2361no—
1329C22×C4C2×D23614yes—
1330C22×C4C2×D23614yes—
1331C22×C4C23×D5911yescharacteristic
1332C22×C4C23×D5911yescharacteristic
1333C22×C4C23×D5911yescharacteristic
1334C22×C4C23×D5911yescharacteristic
1335C22×C4C23×D5911yescharacteristic
1336C22×C4C23×D5911yescharacteristic
1337C22×C4C23×D5911yescharacteristic
1338C22×C4C23×D5911yescharacteristic
1339C22×C4C23×D5911yescharacteristic
1340C22×C4C23×D5911yescharacteristic
1341C22×C4C23×D5911yescharacteristic
1342C22×C4C23×D5911yescharacteristic
1343C22×C4C23×D5911yescharacteristic
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—1182no—
1349C4⋊C4—1182no—
1350C4⋊C4—1182no—
1351C4⋊C4—1182no—
1352C4⋊C4—1182no—
1353C4⋊C4—1182no—
1354C4⋊C4—1182no—
1355C4⋊C4—1182no—
1356C4⋊C4—1182no—
1357C4⋊C4—1182no—
1358C4⋊C4—1182no—
1359C4⋊C4—1182no—
1360C4⋊C4—1182no—
1361C4⋊C4—1182no—
1362C4⋊C4—1182no—
1363C4⋊C4—1182no—
1364C4⋊C4—1182no—
1365C4⋊C4—2361no—
1366C4⋊C4—2361no—
1367C4⋊C4—2361no—
1368C4⋊C4—2361no—
1369C4⋊C4—2361no—
1370C4⋊C4—2361no—
1371C4⋊C4—2361no—
1372C4⋊C4—2361no—
1373C4⋊C4—2361no—
1374C4⋊C4—2361no—
1375C4⋊C4C2×D23614yes—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
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—1182no—
1391C22⋊C4—1182no—
1392C22⋊C4—1182no—
1393C22⋊C4—1182no—
1394C22⋊C4—1182no—
1395C22⋊C4—1182no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—1182no—
1400C22⋊C4—1182no—
1401C22⋊C4—1182no—
1402C22⋊C4—1182no—
1403C22⋊C4—1182no—
1404C22⋊C4—1182no—
1405C22⋊C4—2361no—
1406C22⋊C4—2361no—
1407C22⋊C4—2361no—
1408C22⋊C4—2361no—
1409C22⋊C4—2361no—
1410C22⋊C4—2361no—
1411C22⋊C4—2361no—
1412C22⋊C4—2361no—
1413C22⋊C4—2361no—
1414C22⋊C4—2361no—
1415C22⋊C4—2361no—
1416C22⋊C4—2361no—
1417C22⋊C4—2361no—
1418C22⋊C4—2361no—
1419C22⋊C4—2361no—
1420C22⋊C4—2361no—
1421C22⋊C4—2361no—
1422C22⋊C4—2361no—
1423C22⋊C4—2361no—
1424C22⋊C4—2361no—
1425C22⋊C4—2361no—
1426C22⋊C4C2×D23614yes—
1427C22⋊C4C2×D23614yes—
1428C42—41no—
1429C42—41no—
1430C42—1182no—
1431C42—1182no—
1432C42—1182no—
1433C42—1182no—
1434C42C2×D23614yes—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—592no—
1448C23—592no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—1181no—
1468C23—1181no—
1469C23—1181no—
1470C23—1181no—
1471C23—1181no—
1472C23—1181no—
1473C23—1181no—
1474C23—1181no—
1475C23—2364no—
1476C23—2364no—
1477C23—2364no—
1478C23—2364no—
1479C23—2364no—
1480C23—2364no—
1481C23—2364no—
1482C23C22×D23612yes—
1483C23C22×D23612yes—
1484C23C24×D5911yescharacteristic
1485Q8—4722no—
1486Q8—4722no—
1487Q8—2364no—
1488Q8—2364no—
1489D4—44no—
1490D4—4722no—
1491D4—4722no—
1492D4—4722no—
1493D4—4722no—
1494D4—4722no—
1495D4—2364no—
1496D4—2364no—
1497D4—2364no—
1498D4—2364no—
1499D4—2364no—
1500D4—2364no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—82no—
1538C2×C4—82no—
1539C2×C4—592no—
1540C2×C4—1188no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
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—2364no—
1577C2×C4—2364no—
1578C2×C4—2364no—
1579C2×C4—2364no—
1580C2×C4—2364no—
1581C2×C4—2364no—
1582C2×C4C22×D23612yes—
1583C2×C4C22×D23612yes—
1584C2×C4C22×D23612yes—
1585C2×C4C22×D23612yes—
1586C2×C4C22×D23612yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—1182no—
1602C22—1182no—
1603C22—1182no—
1604C22—1182no—
1605C22—1182no—
1606C22—1182no—
1607C22—23616no—
1608C22—2361no—
1609C22—2361no—
1610C22—2361no—
1611C22—2361no—
1612C22—2361no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22—2361no—
1627C22—2361no—
1628C22—2361no—
1629C22—2361no—
1630C22C23×D23611yescharacteristic
1631C22H(5,𝔽2)×D5911yescharacteristic
1632C22H(5,𝔽2)×D5911yescharacteristic
1633C222−1+4×D5911yescharacteristic
1634C22#1683823711yescharacteristic
1635C22#1683823811yescharacteristic
1636C22#1683823811yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—1182no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C4—2361no—
1658C4—2361no—
1659C4—2361no—
1660C4—2361no—
1661C4—2361no—
1662C2—42no—
1663C2—42no—
1664C2—4721no—
1665C2—4721no—
1666C2—2362no—
1667C2—2362no—
1668C2#2143742911yescharacteristic
1669C2#2143773211yescharacteristic
1670C2#2143777711yescharacteristic
1671C2#2143826311yescharacteristic
1672C2#2143830411yescharacteristic
1673C2#2143836711yescharacteristic
1674C2#2143838811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2318C2
hypercenter#2318D59
hypocenterC59#36712
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
1. C2×#16838017C2semidirect
2. C2×#16837911C2semidirect
3. #21432389C2semidirect
4. #21432384C2semidirect
5. #21430644C2semidirect
6. #21430629C2semidirect
7. #21430590C2semidirect
8. #21430575C2semidirect
9. #21430545C2semidirect
10. #21430500C2semidirect
11. #21430485C2semidirect
12. #21430475C2semidirect
13. #21430409C2semidirect
14. #21430400C2semidirect
15. #21430380C2semidirect
16. #21430375C2semidirect
17. #21430350C2semidirect
18. #21430330C2semidirect
19. #21430320C2semidirect
20. #21430302C2semidirect
21. #21430016C2semidirect
22. #21429937C2semidirect
23. #21429773C2semidirect
24. #21429702C2semidirect
25. #21429675C2semidirect
26. #21429664C2semidirect
27. #21429455C2semidirect
28. #21429276C2semidirect
29. #21427724C2semidirect
30. #21427706C2semidirect
31. C59×#2318C2semidirect
35. C2×#14273727C22semidirect
36. C2×#14273726C22semidirect
38. C2×#14273720C22semidirect
42. C2×#14273713C22semidirect
47. C2×#14273710C22semidirect
51. C2×#14273707C22semidirect
53. C2×#14273706C22semidirect
57. C2×#14273701C22semidirect
64. C2×C4×Dic118C22semidirect
69. C2×#14273684C22semidirect
70. #16837342C22semidirect
71. #16837342C22semidirect
74. #16837339C22semidirect
75. #16837339C22semidirect
76. #16837334C22semidirect
77. #16837334C22semidirect
78. #16837332C22semidirect
79. #16837332C22semidirect
81. #16837329C22semidirect
85. #16837327C22semidirect
87. #16837324C22semidirect
88. #16837324C22semidirect
89. #16837324C22semidirect
90. #16837323C22semidirect
91. #16837323C22semidirect
92. #16837323C22semidirect
93. #16837323C22semidirect
97. #16837319C22semidirect
105. #16837318C22semidirect
106. #16837318C22semidirect
107. #16837318C22semidirect
111. #16837315C22semidirect
112. #16837315C22semidirect
113. #16837315C22semidirect
118. #16837308C22semidirect
123. #16837301C22semidirect
124. #16837301C22semidirect
125. #16837300C22semidirect
130. #16837294C22semidirect
131. #16837294C22semidirect
133. #16837293C22semidirect
134. #16837287C22semidirect
135. #16837287C22semidirect
136. #16837287C22semidirect
137. #16837287C22semidirect
138. #16837287C22semidirect
139. #16837287C22semidirect
143. #16837281C22semidirect
150. #16837280C22semidirect
151. #16837280C22semidirect
162. #16837276C22semidirect
163. #16837276C22semidirect
164. #16837276C22semidirect
165. #16837276C22semidirect
167. #16837262C22semidirect
168. #16837262C22semidirect
177. C59×#387C22semidirect
178. C59×#387C22semidirect
181. C59×#385C22semidirect
182. C59×#385C22semidirect
183. C59×#383C22semidirect
184. C59×#382C22semidirect
187. C4×C22⋊C4×C59C22semidirect
188. C2×#95×C59C22semidirect
354. C4×D4×C59D4semidirect
855. #2318D59semidirect
980. #387C2×D59semidirect
981. #387C2×D59semidirect
1010. #385C2×D59semidirect
1011. #385C2×D59semidirect
1012. #383C2×D59semidirect
1013. #382C2×D59semidirect
1024. C4×C22⋊C4C2×D59semidirect
1025. C2×#95C2×D59semidirect
1026. C59#36712semidirect
1093. C4×D4D236semidirect

Maximal subgroups

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

subgroupindex
C2×#168380172
C2×#168379112
#214323892
#214323842
#214306442
#214306292
#214305902
#214305752
#214305452
#214305002
#214304852
#214304752
#214304092
#214304002
#214303802
#214303752
#214303502
#214303302
#214303202
#214303022
#214300162
#214299372
#214297732
#214297022
#214296752
#214296642
#214294552
#214292762
#214277242
#214277062
C59×#23182
#3671259