Finite Group Databasebeta

← #28758888

Subgroups — #28758888

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×#16837935C211yesmaximal, characteristic, complemented
2C2×#16837915C211yesmaximal, characteristic, complemented
3#21429225C211yesmaximal, characteristic, complemented
4#21429204C211yesmaximal, characteristic, complemented
5#21429197C211yesmaximal, characteristic, complemented
6#21429178C211yesmaximal, characteristic, complemented
7#21429168C211yesmaximal, characteristic, complemented
8#21429154C211yesmaximal, characteristic, complemented
9#21429147C211yesmaximal, characteristic, complemented
10#21429105C211yesmaximal, characteristic, complemented
11#21429061C211yesmaximal, characteristic, complemented
12#21429025C211yesmaximal, characteristic, complemented
13#21428990C211yesmaximal, characteristic, complemented
14#21428415C211yesmaximal, characteristic, complemented
15#21428215C211yesmaximal, characteristic, complemented
16#21427640C211yesmaximal, characteristic, complemented
17#21427625C211yesmaximal, characteristic, complemented
18#21427373C211yesmaximal, characteristic, complemented
19#21427358C211yesmaximal, characteristic, complemented
20#21427339C211yesmaximal, characteristic, complemented
21#21427313C211yesmaximal, characteristic, complemented
22#21426637C211yesmaximal, characteristic, complemented
23#21426617C211yesmaximal, characteristic, complemented
24#21426612C211yesmaximal, characteristic, complemented
25#21426608C211yesmaximal, characteristic, complemented
26#21426601C211yesmaximal, characteristic, complemented
27#21426585C211yesmaximal, characteristic, complemented
28#21426556C211yesmaximal, characteristic, complemented
29C4×#14273689C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2560C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16837935—28no—
35C2×#14273721C2211yescharacteristic, complemented
36C2×#14273717C2211yescharacteristic, complemented
37C2×#14273713C2211yescharacteristic
38C2×#14273713C2211yescharacteristic, complemented
39#16837915—28no—
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic
42C2×#14273712C2211yescharacteristic
43C2×#14273712C2211yescharacteristic
44C2×#14273709C2211yescharacteristic
45C2×#14273705C2211yescharacteristic
46C2×#14273703C2211yescharacteristic
47C2×#14273702C2211yescharacteristic
48C2×#14273701C2211yescharacteristic
49C2×#14273700C2211yescharacteristic
50C2×#14273700C2211yescharacteristic
51C2×#14273698C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273697C2211yescharacteristic
54C2×#14273695C2211yescharacteristic
55C2×#14273692C2211yescharacteristic, complemented
56C2×C4×D236C2211yescharacteristic
57C2×D4×Dic59C2211yescharacteristic
58C2×#14273689C2211yescharacteristic
59C2×#14273689C2211yescharacteristic
60C2×#14273689C2211yescharacteristic
61C2×(C22⋊D59)⋊C4C2211yescharacteristic
62C2×(C22⋊D59)⋊C4C2211yescharacteristic
63C2×(C22⋊D59)⋊C4C2211yescharacteristic
64C2×(C22⋊D59)⋊C4C2211yescharacteristic
65C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
66C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
67C2×#14273685C2211yescharacteristic
68C2×#14273685C2211yescharacteristic, complemented
69C2×#14273683C2211yescharacteristic, complemented
70C2×C22⋊C4×D59C2211yescharacteristic
71C2×C22⋊C4×D59C2211yescharacteristic
72C2×C42×D59C2211yescharacteristic
73C2×C42×D59C2211yescharacteristic
74C2×C42×D59C2211yescharacteristic, complemented
75#16837344C2211yescharacteristic, complemented
76#16837342C2211yescharacteristic, complemented
77#16837338C2211yescharacteristic
78#16837337C2211yescharacteristic
79#16837336C2211yescharacteristic, complemented
80#16837335C2211yescharacteristic, complemented
81#16837333C2211yescharacteristic, complemented
82#16837331C2211yescharacteristic, complemented
83#16837331C2211yescharacteristic, complemented
84#16837330C2211yescharacteristic, complemented
85#16837325C2211yescharacteristic
86#16837324C2211yescharacteristic
87#16837324C2211yescharacteristic
88#16837324C2211yescharacteristic, complemented
89#16837323C2211yescharacteristic, complemented
90#16837321C2211yescharacteristic, complemented
91#16837320C2211yescharacteristic
92#16837320C2211yescharacteristic
93#16837320C2211yescharacteristic, complemented
94#16837318C2211yescharacteristic, complemented
95#16837317C2211yescharacteristic
96#16837317C2211yescharacteristic
97#16837317C2211yescharacteristic
98#16837315C2211yescharacteristic
99#16837311C2211yescharacteristic
100#16837311C2211yescharacteristic
101#16837311C2211yescharacteristic, complemented
102#16837310C2211yescharacteristic
103#16837309C2211yescharacteristic, complemented
104#16837306C2211yescharacteristic, complemented
105#16837304C2211yescharacteristic
106#16837303C2211yescharacteristic
107#16837302C2211yescharacteristic
108#16837302C2211yescharacteristic
109#16837302C2211yescharacteristic
110#16837302C2211yescharacteristic, complemented
111#16837300C2211yescharacteristic, complemented
112#16837299C2211yescharacteristic, complemented
113#16837297C2211yescharacteristic, complemented
114#16837297C2211yescharacteristic, complemented
115#16837296C2211yescharacteristic
116#16837296C2211yescharacteristic
117#16837296C2211yescharacteristic, complemented
118#16837295C2211yescharacteristic, complemented
119#16837294C2211yescharacteristic, complemented
120#16837293C2211yescharacteristic
121#16837293C2211yescharacteristic, complemented
122#16837293C2211yescharacteristic, complemented
123#16837293C2211yescharacteristic, complemented
124#16837292C2211yescharacteristic, complemented
125#16837291C2211yescharacteristic
126#16837283C2211yescharacteristic, complemented
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic, complemented
132#16837280C2211yescharacteristic, complemented
133#16837278C2211yescharacteristic
134#16837278C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic, complemented
138#16837276C2211yescharacteristic
139#16837276C2211yescharacteristic
140#16837276C2211yescharacteristic
141#16837275C2211yescharacteristic
142#16837266C2211yescharacteristic, complemented
143#16837264C2211yescharacteristic
144#16837261C2211yescharacteristic
145#16837259C2211yescharacteristic, complemented
146#16837257C2211yescharacteristic
147C4⋊C4×Dic59C2211yescharacteristic, complemented
148C4⋊C4×Dic59C2211yescharacteristic, complemented
149C4⋊C4×Dic59C2211yescharacteristic, complemented
150#16837253C2211yescharacteristic, complemented
151#16837253C2211yescharacteristic, complemented
152C22⋊C4×Dic59C2211yescharacteristic
153C22⋊C4×Dic59C2211yescharacteristic
154C22⋊C4×Dic59C2211yescharacteristic
155C22⋊C4×Dic59C2211yescharacteristic, complemented
156C4×(C2×D59)⋊C4C2211yescharacteristic
157C4×(C2×D59)⋊C4C2211yescharacteristic
158C4×(C2×D59)⋊C4C2211yescharacteristic
159C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
160C4×C22⋊Dic59C2211yescharacteristic
161#16837249C2211yescharacteristic
162#16837249C2211yescharacteristic
163#16837249C2211yescharacteristic
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic
172#95×D59C2211yescharacteristic
173C42×Dic59C2211yescharacteristic, complemented
174C2×#126×C59C2211yescharacteristic, complemented
175C2×C22⋊Q8×C59C2211yescharacteristic
176C59×#398C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic
178C59×#394C2211yescharacteristic
179C59×#393C2211yescharacteristic, complemented
180C59×#391C2211yescharacteristic, complemented
181C59×#390C2211yescharacteristic
182C59×#388C2211yescharacteristic
183C59×#388C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#387C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic
187C4×C4⋊C4×C59C2211yescharacteristic, complemented
188C4×C22⋊C4×C59C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C2×#11745689—24no—
191C2×#11745689—24no—
192C2×#11745689—42no—
193C22×Dic118C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C22×C4×D59—24no—
208C22×C4×D59—24no—
209C22×C4×D59—42no—
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222#14273721—24no—
223#14273717—24no—
224#14273713—24no—
225#14273713—24no—
226#14273712—24no—
227#14273712—24no—
228#14273712—24no—
229#14273712—24no—
230#14273709—24no—
231#14273705—24no—
232#14273703—24no—
233#14273702—24no—
234#14273701—24no—
235#14273700—24no—
236#14273700—24no—
237#14273698—24no—
238#14273697—24no—
239#14273697—24no—
240#14273695—24no—
241#14273692—24no—
242C4×D236—24no—
243D4×Dic59—42no—
244#14273689—24no—
245#14273689—24no—
246#14273689D418yescomplemented
247(C22⋊D59)⋊C4—24no—
248(C22⋊D59)⋊C4—24no—
249(C22⋊D59)⋊C4—24no—
250(C22⋊D59)⋊C4—24no—
251(C22⋊D59)⋊C4—24no—
252(C22⋊D59)⋊C4—42no—
253#14273685—24no—
254#14273685—24no—
255#14273683—24no—
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×C4⋊Dic59C2311yescharacteristic
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
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
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
312C22⋊C4×D59—24no—
313C22⋊C4×D59—24no—
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C2×C4×Dic59C2311yescharacteristic
328C2×C4×Dic59C2311yescharacteristic
329C42×D59—24no—
330C42×D59—42no—
331C42×D59—42no—
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
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×Q8×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357#126×C59—24no—
358C22⋊Q8×C59—24no—
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C42×C59C2311yescharacteristic
378C2×C42×C59C2311yescharacteristic
379C2×C42×C59C2311yescharacteristic
380C2×C42×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C23×D59—22no—
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59C2411yescharacteristic
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C2×Q8×C59—22no—
405C2×Q8×C59—22no—
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—41no—
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—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
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—22no—
447C22×Dic59—22no—
448C22×Dic59—22no—
449C22×Dic59—22no—
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462#11745689—416no—
463C2×D236—22no—
464C2×D236—22no—
465C2×D236—22no—
466C2×D236—22no—
467C2×D236—22no—
468C2×D236—22no—
469C2×D236—22no—
470C2×D236—22no—
471C2×D236—22no—
472C2×D236—22no—
473C2×D236—22no—
474C2×D236—41no—
475C2×D236—41no—
476C2×D236—41no—
477C2×D236C2×D414yes—
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—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
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—416no—
502C2×C4×D59—41no—
503C2×C4×D59—41no—
504C2×C4×D59—41no—
505C2×C4×D59—41no—
506C2×C4×D59—41no—
507C2×C4×D59—41no—
508C2×C4×D59—41no—
509C2×C4×D59—41no—
510C2×C4×D59—41no—
511C2×C4×D59C2×D414yes—
512C2×C4×D59C2×D414yes—
513C2×C4×D59#4114yes—
514C2×C4×D59#4114yescomplemented
515C2×Dic118—22no—
516C2×Dic118—22no—
517C2×Dic118—41no—
518C4⋊C4×C59—22no—
519C4⋊C4×C59—22no—
520C4⋊C4×C59—22no—
521C4⋊C4×C59—22no—
522C4⋊C4×C59—22no—
523C4⋊C4×C59—22no—
524C4⋊C4×C59C2×D414yes—
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—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—22no—
534C22⋊C4×C59—22no—
535C22⋊C4×C59—41no—
536C42×C59—22no—
537C42×C59—22no—
538C42×C59—41no—
539C42×C59—41no—
540C22⋊Dic59—22no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—41no—
545C22⋊Dic59—41no—
546C22⋊Dic59#4114yescomplemented
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—22no—
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—22no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—22no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4—41no—
574(C2×D59)⋊C4C2×D414yes—
575(C2×D59)⋊C4C2×D414yes—
576(C2×D59)⋊C4#4114yescomplemented
577C4⋊Dic59—22no—
578C4⋊Dic59—22no—
579C4⋊Dic59—22no—
580C4⋊Dic59—22no—
581C4⋊Dic59—41no—
582Dic59⋊C4—22no—
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⋊C4—41no—
595Dic59⋊C4—41no—
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—22no—
606C4×Dic59—22no—
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×C59C2×#4112yes—
625C23×C59C2511yescharacteristic
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—28no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—44no—
651C22×D59—44no—
652C22×D59—44no—
653C22×D59—44no—
654C22×D59—44no—
655C22×D59—44no—
656C22×D59C22×D412yes—
657C22×D59C22×D412yes—
658C22×D59C2×#4112yes—
659C22×D59C2×#4112yes—
660C22×D59C2×#4112yes—
661Q8×C59—44no—
662D4×C59—44no—
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—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—21no—
696C2×C4×C59—44no—
697C2×C4×C59C22×D412yes—
698C2×C4×C59C22×D412yes—
699C2×C4×C59C22×D412yes—
700C2×C4×C59C2×#4112yes—
701C2×C4×C59C2×#4112yes—
702C2×C4×C59C2×#4112yes—
703C22⋊D59—44no—
704C22⋊D59—44no—
705C22⋊D59—44no—
706C22⋊D59—44no—
707C22⋊D59—44no—
708C22⋊D59—44no—
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—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—44no—
738C2×Dic59—44no—
739C2×Dic59C22×D412yes—
740C2×Dic59C22×D412yes—
741C2×Dic59C2×#4112yes—
742C2×Dic59C2×#4112yes—
743C2×Dic59C2×#4112yes—
744C2×Dic59C2×#4112yes—
745C2×Dic59C2×#4112yes—
746C2×Dic59H(5,𝔽2)12yes—
747D236—28no—
748D236—44no—
749D236—44no—
750D236—44no—
751D236—44no—
752C4×D59—28no—
753C4×D59—28no—
754C4×D59—28no—
755C4×D59—44no—
756C4×D59—44no—
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—41no—
770C22×C59—41no—
771C22×C59—41no—
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×C59C23×D411yescharacteristic
781C22×C59C22×#4111yescharacteristic
782C22×C59C22×#4111yescharacteristic
783C22×C59C22×#4111yescharacteristic
784C22×C59C22×#4111yescharacteristic
785C22×C59C2×H(5,𝔽2)11yescharacteristic
786C22×C59#58511yescharacteristic
787C2×D59—22no—
788C2×D59—22no—
789C2×D59—22no—
790C2×D59—22no—
791C2×D59—22no—
792C2×D59—22no—
793C2×D59—22no—
794C2×D59—22no—
795C2×D59—22no—
796C2×D59—22no—
797C2×D59—22no—
798C2×D59—22no—
799C2×D59—416no—
800C2×D59—41no—
801C2×D59—41no—
802C2×D59—41no—
803C2×D59—41no—
804C2×D59—41no—
805C2×D59—41no—
806C2×D59—41no—
807C2×D59—41no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
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—22no—
822C4×C59—41no—
823C4×C59—41no—
824C4×C59—41no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829Dic59—22no—
830Dic59—22no—
831Dic59—22no—
832Dic59—22no—
833Dic59—22no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838Dic59—41no—
839Dic59—41no—
840Dic59#54614yes—
841C2×#529—591no—
842C2×#525—591no—
843#2560D5911yescharacteristic, complemented
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#2388—591no—
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—81no—
874C2×C59C2×#53211yescharacteristic
875C2×C59#344411yescharacteristic
876C2×C59#345911yescharacteristic
877C2×C59C2×#54611yescharacteristic
878C2×C59D4×#4111yescharacteristic
879C2×C59#347511yescharacteristic
880C2×C59#348111yescharacteristic
881D59—24no—
882D59—42no—
883D59—42no—
884D59—81no—
885C22×#41—591no—
886C24×C4—591no—
887#529—1188no—
888C2×#126—591no—
889C2×#126C2×D5911yescharacteristic, complemented
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⋊Q8C2×D5911yescharacteristic
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×D4—591no—
920C2×C4×D4—591no—
921C2×C4×D4—591no—
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#398C2×D5911yescharacteristic, complemented
938#397—591no—
939#397—591no—
940#397—591no—
941#397C2×D5911yescharacteristic
942#396—591no—
943#396—591no—
944#396—591no—
945#396—591no—
946#395—591no—
947#395—591no—
948#394—591no—
949#394—591no—
950#394—591no—
951#394—591no—
952#394—591no—
953#394—591no—
954#394—591no—
955#394C2×D5911yescharacteristic
956#393—591no—
957#393C2×D5911yescharacteristic, complemented
958#392—591no—
959#392—591no—
960#392—591no—
961#392—591no—
962#391—591no—
963#391—591no—
964#391C2×D5911yescharacteristic, complemented
965#390—591no—
966#390—591no—
967#390—591no—
968#390—591no—
969#390—591no—
970#390—591no—
971#390C2×D5911yescharacteristic
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#388C2×D5911yescharacteristic
988#388C2×D5911yescharacteristic, complemented
989#388C2×D5911yescharacteristic, complemented
990#387—591no—
991#387C2×D5911yescharacteristic, complemented
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#386C2×D5911yescharacteristic
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⋊C4C2×D5911yescharacteristic, complemented
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⋊C4—591no—
1037C4×C22⋊C4—591no—
1038C4×C22⋊C4C2×D5911yescharacteristic
1039C2×#95—591no—
1040C2×#95—591no—
1041C43—591no—
1042C59#3482911yescharacteristic, complemented, Sylow
1043C25—591no—
1044C2×#41—1184no—
1045C2×#41—1184no—
1046C2×#41—2362no—
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×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
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—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—1184no—
1076C23×C4—1184no—
1077C23×C4—2362no—
1078C23×C4C22×D5911yescharacteristic
1079#126—24no—
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—24no—
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—598no—
1102C4×D4—1184no—
1103C4×D4—1184no—
1104C4×D4—1184no—
1105C4×D4—1184no—
1106C4×D4—1184no—
1107C4×D4—1184no—
1108C4×D4—1184no—
1109C4×D4—1184no—
1110C4×D4—2362no—
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⋊C4C22×D5911yescharacteristic
1135C2×C4⋊C4C22×D5911yescharacteristic
1136C2×C4⋊C4C22×D5911yescharacteristic
1137C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1178C2×C22⋊C4—1184no—
1179C2×C22⋊C4—1184no—
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—1184no—
1207C2×C42—2362no—
1208C2×C42—2362no—
1209C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1236#95C22×D5911yescharacteristic
1237#95C22×D5911yescharacteristic
1238#95C22×D5911yescharacteristic
1239#95C22×D5911yescharacteristic
1240#95C22×D5911yescharacteristic
1241#95C22×D5911yescharacteristic
1242#95C22×D5911yescharacteristic
1243#95C22×D5911yescharacteristic
1244#95C22×D5911yescharacteristic
1245C24—591no—
1246C24—591no—
1247C24—591no—
1248C24—591no—
1249C24—1182no—
1250C24—1182no—
1251C24—1182no—
1252C24—1182no—
1253C24—1182no—
1254C24—2361no—
1255C24—2361no—
1256C24C23×D5911yescharacteristic
1257C24C23×D5911yescharacteristic
1258#41—23616no—
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—41no—
1268C2×D4—594no—
1269C2×D4—1182no—
1270C2×D4—1182no—
1271C2×D4—1182no—
1272C2×D4—1182no—
1273C2×D4—1182no—
1274C2×D4—1182no—
1275C2×D4—1182no—
1276C2×D4—1182no—
1277C2×D4—1182no—
1278C2×D4—1182no—
1279C2×D4—1182no—
1280C2×D4—1182no—
1281C2×D4—1182no—
1282C2×D4—1182no—
1283C2×D4—1182no—
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—2361no—
1293C2×D4—2361no—
1294C2×D4—2361no—
1295C2×D4—2361no—
1296C2×D4—2361no—
1297C2×D4—2361no—
1298C2×D4—2361no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—41no—
1304C22×C4—591no—
1305C22×C4—591no—
1306C22×C4—591no—
1307C22×C4—591no—
1308C22×C4—591no—
1309C22×C4—591no—
1310C22×C4—594no—
1311C22×C4—594no—
1312C22×C4—594no—
1313C22×C4—594no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—591no—
1317C22×C4—591no—
1318C22×C4—591no—
1319C22×C4—591no—
1320C22×C4—1182no—
1321C22×C4—1182no—
1322C22×C4—1182no—
1323C22×C4—1182no—
1324C22×C4—1182no—
1325C22×C4—1182no—
1326C22×C4—1182no—
1327C22×C4—1182no—
1328C22×C4—1182no—
1329C22×C4—1182no—
1330C22×C4—1182no—
1331C22×C4—1182no—
1332C22×C4—1182no—
1333C22×C4—1182no—
1334C22×C4—1182no—
1335C22×C4—1182no—
1336C22×C4—1182no—
1337C22×C4—1182no—
1338C22×C4—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—1182no—
1349C22×C4—2361no—
1350C22×C4—2361no—
1351C22×C4—2361no—
1352C22×C4—2361no—
1353C22×C4—2361no—
1354C22×C4—2361no—
1355C22×C4—2361no—
1356C22×C4—2361no—
1357C22×C4—2361no—
1358C22×C4—23616no—
1359C22×C4C23×D5911yescharacteristic
1360C22×C4C23×D5911yescharacteristic
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—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
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—2361no—
1394C4⋊C4—2361no—
1395C4⋊C4—2361no—
1396C4⋊C4—2361no—
1397C4⋊C4D4×D5914yes—
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—594no—
1410C22⋊C4—594no—
1411C22⋊C4—594no—
1412C22⋊C4—594no—
1413C22⋊C4—1182no—
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—2361no—
1442C22⋊C4—2361no—
1443C22⋊C4—2361no—
1444C22⋊C4—2361no—
1445C22⋊C4—2361no—
1446C42—22no—
1447C42—22no—
1448C42—41no—
1449C42—41no—
1450C42—594no—
1451C42—1182no—
1452C42—1182no—
1453C42—1182no—
1454C42—1182no—
1455C42—1182no—
1456C42—1182no—
1457C42—1182no—
1458C42—1182no—
1459C42—1182no—
1460C42—1182no—
1461C42—1182no—
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—592no—
1479C23—592no—
1480C23—592no—
1481C23—592no—
1482C23—592no—
1483C23—1188no—
1484C23—1181no—
1485C23—1181no—
1486C23—1181no—
1487C23—1181no—
1488C23—1181no—
1489C23—1181no—
1490C23—1181no—
1491C23—1181no—
1492C23—1181no—
1493C23—1181no—
1494C23—1181no—
1495C23—1181no—
1496C23—1181no—
1497C23—1181no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1181no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—2364no—
1508C23—2364no—
1509C23—2364no—
1510C23—2364no—
1511C23—2364no—
1512C23—2364no—
1513C23#41×D5912yes—
1514C23C24×D5911yescharacteristic
1515Q8—44no—
1516Q8—2364no—
1517D4—44no—
1518D4—1188no—
1519D4—2364no—
1520D4—2364no—
1521D4—2364no—
1522D4—2364no—
1523D4—2364no—
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—21no—
1540C2×C4—21no—
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—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—44no—
1563C2×C4—592no—
1564C2×C4—592no—
1565C2×C4—592no—
1566C2×C4—592no—
1567C2×C4—592no—
1568C2×C4—592no—
1569C2×C4—592no—
1570C2×C4—592no—
1571C2×C4—1188no—
1572C2×C4—1188no—
1573C2×C4—1188no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—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×C4—2364no—
1612C2×C4—2364no—
1613C2×C4C2×D4×D5912yes—
1614C2×C4C2×D4×D5912yes—
1615C2×C4C2×D4×D5912yes—
1616C2×C4#41×D5912yes—
1617C2×C4#41×D5912yes—
1618C2×C4#41×D5912yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—594no—
1634C22—1182no—
1635C22—1182no—
1636C22—1182no—
1637C22—1182no—
1638C22—1182no—
1639C22—1182no—
1640C22—1182no—
1641C22—1182no—
1642C22—1182no—
1643C22—1182no—
1644C22—1182no—
1645C22—1182no—
1646C22—23616no—
1647C22—2361no—
1648C22—2361no—
1649C22—2361no—
1650C22—2361no—
1651C22—2361no—
1652C22—2361no—
1653C22—2361no—
1654C22—2361no—
1655C22—2361no—
1656C22—2361no—
1657C22—2361no—
1658C22—2361no—
1659C22—2361no—
1660C22—2361no—
1661C22—2361no—
1662C22C22×D4×D5911yescharacteristic
1663C22C2×#41×D5911yescharacteristic
1664C22C2×#41×D5911yescharacteristic
1665C22C2×#41×D5911yescharacteristic
1666C22C2×#41×D5911yescharacteristic
1667C22H(5,𝔽2)×D5911yescharacteristic
1668C22#1683823911yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—594no—
1683C4—1182no—
1684C4—1182no—
1685C4—1182no—
1686C4—1182no—
1687C4—1182no—
1688C4—2361no—
1689C4—2361no—
1690C4—2361no—
1691C4—2361no—
1692C4—2361no—
1693C4—2361no—
1694C2—42no—
1695C2—81no—
1696C2—1184no—
1697C2—4721no—
1698C2—2362no—
1699C2—2362no—
1700C2#532×D5911yescharacteristic
1701C2#2143739011yescharacteristic
1702C2#2143750411yescharacteristic
1703C2#546×D5911yescharacteristic
1704C2#2143758511yescharacteristic
1705C2#2143765711yescharacteristic
1706C2#2143769911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2560C2
hypercenter#2560D59
hypocenterC59#34829
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2560

Complements

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

NH ≅ G/Ntype
1. C2×#16837935C2semidirect
2. C2×#16837915C2semidirect
3. #21429225C2semidirect
4. #21429204C2semidirect
5. #21429197C2semidirect
6. #21429178C2semidirect
7. #21429168C2semidirect
8. #21429154C2semidirect
9. #21429147C2semidirect
10. #21429105C2semidirect
11. #21429061C2semidirect
12. #21429025C2semidirect
13. #21428990C2semidirect
14. #21428415C2semidirect
15. #21428215C2semidirect
16. #21427640C2semidirect
17. #21427625C2semidirect
18. #21427373C2semidirect
19. #21427358C2semidirect
20. #21427339C2semidirect
21. #21427313C2semidirect
22. #21426637C2semidirect
23. #21426617C2semidirect
24. #21426612C2semidirect
25. #21426608C2semidirect
26. #21426601C2semidirect
27. #21426585C2semidirect
28. #21426556C2semidirect
29. C4×#14273689C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2560C2semidirect
35. C2×#14273721C22semidirect
36. C2×#14273717C22semidirect
38. C2×#14273713C22semidirect
55. C2×#14273692C22semidirect
65. C2×(C22⋊D59)⋊C4C22semidirect
66. C2×(C22⋊D59)⋊C4C22semidirect
68. C2×#14273685C22semidirect
69. C2×#14273683C22semidirect
74. C2×C42×D59C22semidirect
75. #16837344C22semidirect
76. #16837342C22semidirect
79. #16837336C22semidirect
80. #16837335C22semidirect
81. #16837333C22semidirect
82. #16837331C22semidirect
83. #16837331C22semidirect
84. #16837330C22semidirect
88. #16837324C22semidirect
89. #16837323C22semidirect
90. #16837321C22semidirect
93. #16837320C22semidirect
94. #16837318C22semidirect
101. #16837311C22semidirect
103. #16837309C22semidirect
104. #16837306C22semidirect
110. #16837302C22semidirect
111. #16837300C22semidirect
112. #16837299C22semidirect
113. #16837297C22semidirect
114. #16837297C22semidirect
117. #16837296C22semidirect
118. #16837295C22semidirect
119. #16837294C22semidirect
121. #16837293C22semidirect
122. #16837293C22semidirect
123. #16837293C22semidirect
124. #16837292C22semidirect
126. #16837283C22semidirect
131. #16837280C22semidirect
132. #16837280C22semidirect
137. #16837278C22semidirect
142. #16837266C22semidirect
145. #16837259C22semidirect
147. C4⋊C4×Dic59C22semidirect
148. C4⋊C4×Dic59C22semidirect
149. C4⋊C4×Dic59C22semidirect
150. #16837253C22semidirect
151. #16837253C22semidirect
155. C22⋊C4×Dic59C22semidirect
159. C4×(C2×D59)⋊C4C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
173. C42×Dic59C22semidirect
174. C2×#126×C59C22semidirect
176. C59×#398C22semidirect
179. C59×#393C22semidirect
180. C59×#391C22semidirect
183. C59×#388C22semidirect
184. C59×#388C22semidirect
185. C59×#387C22semidirect
187. C4×C4⋊C4×C59C22semidirect
246. #14273689D4semidirect
514. C2×C4×D59#41semidirect
546. C22⋊Dic59#41semidirect
576. (C2×D59)⋊C4#41semidirect
843. #2560D59semidirect
889. C2×#126C2×D59semidirect
937. #398C2×D59semidirect
957. #393C2×D59semidirect
964. #391C2×D59semidirect
988. #388C2×D59semidirect
989. #388C2×D59semidirect
991. #387C2×D59semidirect
1018. C4×C4⋊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×#168379352
C2×#168379152
#214292252
#214292042
#214291972
#214291782
#214291682
#214291542
#214291472
#214291052
#214290612
#214290252
#214289902
#214284152
#214282152
#214276402
#214276252
#214273732
#214273582
#214273392
#214273132
#214266372
#214266172
#214266122
#214266082
#214266012
#214265852
#214265562
C4×#142736892
C4×C22⋊C4×D592
C59×#25602
#3482959