Finite Group Databasebeta

← #28761417

Subgroups — #28761417

Order 15104.

2866 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838027C211yesmaximal, characteristic, complemented
2C2×#16837963C211yesmaximal, characteristic
3#21432400C211yesmaximal, characteristic, complemented
4#21432398C211yesmaximal, characteristic, complemented
5#21432394C211yesmaximal, characteristic, complemented
6#21432394C211yesmaximal, characteristic, complemented
7#21430028C211yesmaximal, characteristic, complemented
8#21430028C211yesmaximal, characteristic, complemented
9#21430025C211yesmaximal, characteristic, complemented
10#21430023C211yesmaximal, characteristic, complemented
11#21428429C211yesmaximal, characteristic, complemented
12#21428426C211yesmaximal, characteristic, complemented
13#21428423C211yesmaximal, characteristic, complemented
14#21428422C211yesmaximal, characteristic, complemented
15#21428419C211yesmaximal, characteristic, complemented
16#21428418C211yesmaximal, characteristic, complemented
17#21428417C211yesmaximal, characteristic, complemented
18#21428229C211yesmaximal, characteristic, complemented
19#21428227C211yesmaximal, characteristic, complemented
20#21428226C211yesmaximal, characteristic, complemented
21#21428225C211yesmaximal, characteristic, complemented
22#21428224C211yesmaximal, characteristic, complemented
23#21428222C211yesmaximal, characteristic, complemented
24#21428220C211yesmaximal, characteristic, complemented
25#21428215C211yesmaximal, characteristic, complemented
26#21426673C211yesmaximal, characteristic, complemented
27#21426670C211yesmaximal, characteristic, complemented
28C2×#16837280C211yesmaximal, characteristic, complemented
29#386×D59C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2488C211yesmaximal, characteristic, complemented
32C23×D236C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16838027—28no—
36#16837963—28no—
37C2×#14273716C2211yescharacteristic, complemented
38C2×#14273715C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273713C2211yescharacteristic, complemented
41C2×#14273712C2211yescharacteristic
42C2×#14273712C2211yescharacteristic
43C2×#14273710C2211yescharacteristic
44C2×#14273707C2211yescharacteristic, complemented
45C2×#14273707C2211yescharacteristic, complemented
46C2×#14273706C2211yescharacteristic, complemented
47C2×#14273705C2211yescharacteristic, complemented
48C2×#14273705C2211yescharacteristic, complemented
49C2×#14273705C2211yescharacteristic, complemented
50C2×#14273705C2211yescharacteristic, complemented
51C2×#14273704C2211yescharacteristic, complemented
52C2×#14273704C2211yescharacteristic, complemented
53C2×#14273703C2211yescharacteristic, complemented
54C2×#14273703C2211yescharacteristic, complemented
55C2×#14273702C2211yescharacteristic
56C2×#14273702C2211yescharacteristic
57C2×#14273700C2211yescharacteristic
58C2×#14273700C2211yescharacteristic
59C2×#14273697C2211yescharacteristic
60C2×#14273697C2211yescharacteristic
61C2×#14273697C2211yescharacteristic
62C2×#14273695C2211yescharacteristic
63C22×(C2×D59)⋊C4C2211yescharacteristic
64C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
65C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
66C2×C22⋊C4×D59C2211yescharacteristic
67C2×C22⋊C4×D59C2211yescharacteristic
68C2×C22⋊C4×D59C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic, complemented
70C2×C22⋊C4×D59C2211yescharacteristic, complemented
71C2×C42×D59C2211yescharacteristic, complemented
72C2×C42×D59C2211yescharacteristic, complemented
73#16837344C2211yescharacteristic, complemented
74#16837344C2211yescharacteristic, complemented
75#16837343C2211yescharacteristic, complemented
76#16837343C2211yescharacteristic, complemented
77#16837340C2211yescharacteristic, complemented
78#16837340C2211yescharacteristic, complemented
79#16837331C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837331C2211yescharacteristic, complemented
83#16837329C2211yescharacteristic, complemented
84#16837328C2211yescharacteristic, complemented
85#16837327C2211yescharacteristic, complemented
86#16837320C2211yescharacteristic, complemented
87#16837320C2211yescharacteristic, complemented
88#16837319C2211yescharacteristic, complemented
89#16837319C2211yescharacteristic, complemented
90#16837318C2211yescharacteristic, complemented
91#16837318C2211yescharacteristic, complemented
92#16837317C2211yescharacteristic, complemented
93#16837317C2211yescharacteristic, complemented
94#16837315C2211yescharacteristic, complemented
95#16837315C2211yescharacteristic, complemented
96#16837315C2211yescharacteristic, complemented
97#16837315C2211yescharacteristic, complemented
98#16837315C2211yescharacteristic, complemented
99#16837314C2211yescharacteristic, complemented
100#16837313C2211yescharacteristic, complemented
101#16837307C2211yescharacteristic, complemented
102#16837306C2211yescharacteristic, complemented
103#16837306C2211yescharacteristic, complemented
104#16837304C2211yescharacteristic, complemented
105#16837303C2211yescharacteristic, complemented
106#16837302C2211yescharacteristic, complemented
107#16837302C2211yescharacteristic, complemented
108#16837296C2211yescharacteristic, complemented
109#16837296C2211yescharacteristic, complemented
110#16837294C2211yescharacteristic, complemented
111#16837294C2211yescharacteristic, complemented
112#16837294C2211yescharacteristic, complemented
113#16837294C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837292C2211yescharacteristic, complemented
117#16837292C2211yescharacteristic, complemented
118#16837291C2211yescharacteristic, complemented
119#16837291C2211yescharacteristic, complemented
120#16837291C2211yescharacteristic, complemented
121#16837291C2211yescharacteristic, complemented
122#16837282C2211yescharacteristic
123#16837282C2211yescharacteristic
124#16837281C2211yescharacteristic
125#16837281C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic, complemented
135#16837280C2211yescharacteristic, complemented
136#16837280C2211yescharacteristic, complemented
137#16837280C2211yescharacteristic, complemented
138#16837280C2211yescharacteristic, complemented
139#16837280C2211yescharacteristic, complemented
140#16837280C2211yescharacteristic, complemented
141#16837280C2211yescharacteristic, complemented
142#16837280C2211yescharacteristic, complemented
143#16837280C2211yescharacteristic, complemented
144#16837280C2211yescharacteristic, complemented
145#16837280C2211yescharacteristic, complemented
146#16837279C2211yescharacteristic
147#16837279C2211yescharacteristic
148#16837278C2211yescharacteristic, complemented
149#16837278C2211yescharacteristic, complemented
150#16837278C2211yescharacteristic, complemented
151#16837278C2211yescharacteristic, complemented
152#16837267C2211yescharacteristic, complemented
153#16837266C2211yescharacteristic, complemented
154#16837266C2211yescharacteristic, complemented
155#16837265C2211yescharacteristic, complemented
156#16837264C2211yescharacteristic, complemented
157#16837264C2211yescharacteristic, complemented
158#16837257C2211yescharacteristic, complemented
159#16837257C2211yescharacteristic, complemented
160#16837257C2211yescharacteristic, complemented
161#16837257C2211yescharacteristic, complemented
162C22⋊C4×Dic59C2211yescharacteristic, complemented
163C22⋊C4×Dic59C2211yescharacteristic, complemented
164C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
166C4×C22⋊Dic59C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169C2×C59⋊#95C2211yescharacteristic, complemented
170#95×D59C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic
175C2×C22⋊Q8×C59C2211yescharacteristic, complemented
176C59×#400C2211yescharacteristic, complemented
177C59×#400C2211yescharacteristic, complemented
178C59×#397C2211yescharacteristic, complemented
179C59×#393C2211yescharacteristic, complemented
180C59×#391C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C59×#382C2211yescharacteristic, complemented
186C59×#381C2211yescharacteristic, complemented
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C2×#95×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C24×D59C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×Dic118C2311yescharacteristic
194C22×Dic118C2311yescharacteristic
195C22×D236—24no—
196C22×D236—24no—
197C22×D236—24no—
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
203C22×D236C2311yescharacteristic
204C22×D236C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C2×D4×D59—24no—
210C2×D4×D59—24no—
211C2×D4×D59—24no—
212C23×Dic59C2311yescharacteristic
213C23×Dic59C2311yescharacteristic
214C22×C4×D59—24no—
215C22×C4×D59—42no—
216C22×C4×D59—42no—
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228#14273716—42no—
229#14273715—42no—
230#14273713—42no—
231#14273713—42no—
232#14273712—24no—
233#14273712—24no—
234#14273710—24no—
235#14273707—24no—
236#14273707—24no—
237#14273706—24no—
238#14273705—24no—
239#14273705—24no—
240#14273705—24no—
241#14273705—24no—
242#14273704—24no—
243#14273704—24no—
244#14273703—24no—
245#14273703—24no—
246#14273702—24no—
247#14273702—24no—
248#14273700—24no—
249#14273700—24no—
250#14273697—24no—
251#14273697—24no—
252#14273697—24no—
253#14273695—24no—
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×(C2×D59)⋊C4—24no—
273C2×(C2×D59)⋊C4—42no—
274C2×(C2×D59)⋊C4—42no—
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(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
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C22⋊C4×D59—24no—
316C22⋊C4×D59—24no—
317C22⋊C4×D59—42no—
318C22⋊C4×D59—42no—
319C22⋊C4×D59D418yes—
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C42×D59—42no—
327C42×D59—42no—
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×Q8×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359#123×C59—24no—
360C22⋊Q8×C59—24no—
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×C42×C59C2311yescharacteristic
376C2×C42×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
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—22no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59—41no—
402C23×D59—41no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59—41no—
407C23×D59—41no—
408C23×D59—41no—
409C23×D59—41no—
410C23×D59—41no—
411C23×D59C2×D414yes—
412C23×D59#4114yes—
413C23×D59#4114yes—
414C23×D59C2411yescharacteristic
415C23×D59C2411yescharacteristic
416C23×D59C2411yescharacteristic
417C23×D59C2411yescharacteristic
418C23×D59C2411yescharacteristic
419C2×Q8×C59—22no—
420C2×Q8×C59—41no—
421C2×Q8×C59—41no—
422C2×D4×C59—22no—
423C2×D4×C59—22no—
424C2×D4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—22no—
427C22×C4×C59—22no—
428C22×C4×C59—22no—
429C22×C4×C59—22no—
430C22×C4×C59—22no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59—41no—
459C22×Dic59—22no—
460C22×Dic59—22no—
461C22×Dic59—22no—
462C22×Dic59—41no—
463C22×Dic59—41no—
464C22×Dic59—41no—
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476D4×D59—416no—
477C2×D236—22no—
478C2×D236—22no—
479C2×D236—22no—
480C2×D236—22no—
481C2×D236—22no—
482C2×D236—22no—
483C2×D236—22no—
484C2×D236—22no—
485C2×D236—22no—
486C2×D236—22no—
487C2×D236—22no—
488C2×D236—22no—
489C2×D236—22no—
490C2×D236—22no—
491C2×D236—22no—
492C2×D236—22no—
493C2×D236—22no—
494C2×D236—416no—
495C2×D236—41no—
496C2×D236—41no—
497C2×D236—41no—
498C2×D236—41no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
501C2×C4×D59—22no—
502C2×C4×D59—22no—
503C2×C4×D59—22no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—22no—
510C2×C4×D59—22no—
511C2×C4×D59—22no—
512C2×C4×D59—22no—
513C2×C4×D59—22no—
514C2×C4×D59—416no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59—41no—
520C2×C4×D59—41no—
521C2×C4×D59—41no—
522C2×C4×D59—41no—
523C2×C4×D59—41no—
524C2×C4×D59—41no—
525C2×C4×D59—41no—
526C2×C4×D59—41no—
527C2×C4×D59—41no—
528C2×C4×D59—41no—
529C2×C4×D59—41no—
530C2×C4×D59—41no—
531C2×C4×D59C2×D414yes—
532C2×C4×D59C2×D414yes—
533C2×Dic118—22no—
534C2×Dic118—22no—
535C2×Dic118—22no—
536C2×Dic118—41no—
537C2×Dic118—41no—
538C2×Dic118—41no—
539C2×Dic118—41no—
540C2×Dic118—41no—
541C2×Dic118—41no—
542C4⋊C4×C59—22no—
543C4⋊C4×C59—22no—
544C4⋊C4×C59—22no—
545C4⋊C4×C59—22no—
546C4⋊C4×C59—22no—
547C22⋊C4×C59—22no—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—22no—
550C22⋊C4×C59—22no—
551C22⋊C4×C59—22no—
552C22⋊C4×C59—41no—
553C22⋊C4×C59—41no—
554C22⋊C4×C59—41no—
555C22⋊C4×C59C2×D414yes—
556C42×C59—22no—
557C42×C59—41no—
558C22⋊Dic59—22no—
559C22⋊Dic59—22no—
560C22⋊Dic59—22no—
561C22⋊Dic59—41no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
564C22⋊Dic59C2×D414yes—
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—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—22no—
575(C2×D59)⋊C4—22no—
576(C2×D59)⋊C4—22no—
577(C2×D59)⋊C4—22no—
578(C2×D59)⋊C4—22no—
579(C2×D59)⋊C4—22no—
580(C2×D59)⋊C4—22no—
581(C2×D59)⋊C4—22no—
582(C2×D59)⋊C4—22no—
583(C2×D59)⋊C4—22no—
584(C2×D59)⋊C4—22no—
585(C2×D59)⋊C4—41no—
586(C2×D59)⋊C4—41no—
587(C2×D59)⋊C4—41no—
588(C2×D59)⋊C4—41no—
589(C2×D59)⋊C4—41no—
590(C2×D59)⋊C4—41no—
591(C2×D59)⋊C4—41no—
592(C2×D59)⋊C4—41no—
593(C2×D59)⋊C4—41no—
594(C2×D59)⋊C4—41no—
595(C2×D59)⋊C4—41no—
596(C2×D59)⋊C4—41no—
597(C2×D59)⋊C4—41no—
598(C2×D59)⋊C4—41no—
599(C2×D59)⋊C4—41no—
600(C2×D59)⋊C4—41no—
601(C2×D59)⋊C4—41no—
602(C2×D59)⋊C4—41no—
603(C2×D59)⋊C4C2×D414yes—
604(C2×D59)⋊C4C2×D414yes—
605C4⋊Dic59—22no—
606C4⋊Dic59—22no—
607C4⋊Dic59—22no—
608Dic59⋊C4—22no—
609Dic59⋊C4—22no—
610Dic59⋊C4—22no—
611Dic59⋊C4—22no—
612Dic59⋊C4—22no—
613Dic59⋊C4—22no—
614Dic59⋊C4—22no—
615Dic59⋊C4—22no—
616C4×Dic59—22no—
617C4×Dic59—22no—
618C4×Dic59—22no—
619C4×Dic59—41no—
620C4×Dic59—41no—
621C4×Dic59—41no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59C22×D412yes—
634C23×C59C2×#4112yes—
635C23×C59C2×#4112yes—
636C23×C59C2511yescharacteristic
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—21no—
651C22×D59—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—44no—
667C22×D59—44no—
668C22×D59—44no—
669C22×D59—44no—
670C22×D59—44no—
671C22×D59—44no—
672C22×D59—44no—
673C22×D59—44no—
674C22×D59—44no—
675C22×D59—44no—
676C22×D59—44no—
677C22×D59—44no—
678C22×D59—82no—
679C22×D59—82no—
680C22×D59—82no—
681C22×D59—82no—
682C22×D59—82no—
683C22×D59—82no—
684C22×D59—82no—
685C22×D59—82no—
686C22×D59#124116yescomplemented
687C22×D59C22×D412yes—
688C22×D59C22×D412yes—
689C22×D59C2×#4112yes—
690C22×D59C2×#4112yes—
691C22×D59C2×#4112yes—
692C22×D59C2×#4112yes—
693Q8×C59—82no—
694D4×C59—44no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—44no—
732C2×C4×C59—44no—
733C2×C4×C59—82no—
734C2×C4×C59C22×D412yes—
735C2×C4×C59C22×D412yes—
736C2×C4×C59H(5,𝔽2)12yes—
737C22⋊D59—44no—
738C22⋊D59—44no—
739C22⋊D59—82no—
740C22⋊D59—82no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—44no—
772C2×Dic59—82no—
773C2×Dic59C22×D412yes—
774C2×Dic59C22×D412yes—
775C2×Dic59H(5,𝔽2)12yes—
776D236—44no—
777D236—44no—
778D236—44no—
779D236—44no—
780D236—44no—
781D236—82no—
782D236—82no—
783C4×D59—28no—
784C4×D59—44no—
785C4×D59—44no—
786C4×D59—44no—
787C4×D59—44no—
788C4×D59—44no—
789C4×D59—44no—
790C4×D59—44no—
791C4×D59—44no—
792C4×D59—82no—
793C4×D59—82no—
794Dic118—82no—
795Dic118—82no—
796Dic118—82no—
797#34993—591nomaximal, Sylow
798C22×C59—22no—
799C22×C59—22no—
800C22×C59—22no—
801C22×C59—22no—
802C22×C59—22no—
803C22×C59—22no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59C2×#12414yes—
812C22×C59C23×D411yescharacteristic
813C22×C59C22×#4111yescharacteristic
814C22×C59C22×#4111yescharacteristic
815C22×C59C2×H(5,𝔽2)11yescharacteristic
816C22×C59C2×H(5,𝔽2)11yescharacteristic
817C22×C59#58511yescharacteristic
818C22×C59#58511yescharacteristic
819C2×D59—22no—
820C2×D59—22no—
821C2×D59—22no—
822C2×D59—22no—
823C2×D59—22no—
824C2×D59—22no—
825C2×D59—22no—
826C2×D59—22no—
827C2×D59—22no—
828C2×D59—22no—
829C2×D59—22no—
830C2×D59—22no—
831C2×D59—416no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—88no—
854C2×D59—88no—
855C2×D59C2×#12414yes—
856C2×D59C2×#12414yes—
857C4×C59—22no—
858C4×C59—22no—
859C4×C59—22no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870Dic59—22no—
871Dic59—22no—
872Dic59—22no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
878Dic59—41no—
879Dic59—41no—
880Dic59—41no—
881C2×#543—591no—
882C2×#534—591no—
883#2850—591no—
884#2850—591no—
885#2850—591no—
886#2850—591no—
887#2639—591no—
888#2639—591no—
889#2639—591no—
890#2639—591no—
891#2488—591no—
892#2488—591no—
893#2488—591no—
894#2488—591no—
895#2488—591no—
896#2488—591no—
897#2488—591no—
898#2488D5911yescharacteristic, complemented
899#2472—591no—
900#2472—591no—
901#2472—591no—
902#2472—591no—
903#2472—591no—
904#2472—591no—
905#2472—591no—
906#2472—591no—
907#2308—591no—
908#2308—591no—
909C2×#386—591no—
910C2×#386—591no—
911C2×C4×C22⋊C4—591no—
912C2×C59—24no—
913C2×C59—81no—
914C2×C59C22×#12411yescharacteristic
915C2×C59#345911yescharacteristic
916C2×C59#345911yescharacteristic
917C2×C59#349011yescharacteristic
918C2×C59#349111yescharacteristic
919C2×C59#349611yescharacteristic
920C2×C59#349611yescharacteristic
921D59—24no—
922D59—24no—
923D59—81no—
924D59—81no—
925D59—81no—
926C23×D4—591no—
927C23×D4—591no—
928C24×C4—591no—
929#543—1188no—
930#534—1188no—
931C2×#124—591no—
932C2×#124—591no—
933C2×#124—591no—
934C2×#124—591no—
935C2×#123—591no—
936C2×#123—591no—
937C2×#123—591no—
938C2×#123C2×D5911yescharacteristic
939C2×C22⋊Q8—591no—
940C2×C22⋊Q8—591no—
941C2×C22⋊Q8—591no—
942C2×C22⋊Q8—591no—
943C2×C22⋊Q8—591no—
944C2×C22⋊Q8—591no—
945C2×C22⋊Q8—591no—
946C2×C22⋊Q8—591no—
947C2×C22⋊Q8—591no—
948C2×C22⋊Q8—591no—
949C2×C22⋊Q8—591no—
950C2×C22⋊Q8C2×D5911yescharacteristic, complemented
951C2×#121—591no—
952C2×#121—591no—
953C2×#121—591no—
954C2×#121—591no—
955C2×#120—591no—
956C2×#120—591no—
957C2×#120—591no—
958C2×#120—591no—
959C22×C22⋊C4—591no—
960C22×C22⋊C4—591no—
961C22×C22⋊C4—591no—
962C22×C22⋊C4—591no—
963C22×C22⋊C4—591no—
964C22×C22⋊C4—591no—
965C22×C22⋊C4—591no—
966C22×C22⋊C4—591no—
967C22×C42—591no—
968C22×C42—591no—
969#400—591no—
970#400—591no—
971#400—591no—
972#400—591no—
973#400—591no—
974#400—591no—
975#400C2×D5911yescharacteristic, complemented
976#400C2×D5911yescharacteristic, complemented
977#397—591no—
978#397—591no—
979#397—591no—
980#397—591no—
981#397—591no—
982#397—591no—
983#397—591no—
984#397C2×D5911yescharacteristic, complemented
985#394—591no—
986#394—591no—
987#394—591no—
988#394—591no—
989#394—591no—
990#394—591no—
991#394—591no—
992#394—591no—
993#393—591no—
994#393—591no—
995#393—591no—
996#393—591no—
997#393—591no—
998#393—591no—
999#393—591no—
1000#393C2×D5911yescharacteristic, complemented
1001#391—591no—
1002#391—591no—
1003#391—591no—
1004#391C2×D5911yescharacteristic, complemented
1005#390—591no—
1006#390—591no—
1007#390—591no—
1008#390—591no—
1009#388—591no—
1010#388—591no—
1011#388—591no—
1012#388—591no—
1013#388—591no—
1014#388—591no—
1015#388—591no—
1016#388—591no—
1017#388—591no—
1018#388—591no—
1019#388—591no—
1020#388—591no—
1021#388—591no—
1022#388—591no—
1023#388C2×D5911yescharacteristic, complemented
1024#388C2×D5911yescharacteristic, complemented
1025#386—591no—
1026#386—591no—
1027#386—591no—
1028#386—591no—
1029#386—591no—
1030#386—591no—
1031#386—591no—
1032#386—591no—
1033#386—591no—
1034#386—591no—
1035#386—591no—
1036#386—591no—
1037#386—591no—
1038#386—591no—
1039#386—591no—
1040#386—591no—
1041#386—591no—
1042#386—591no—
1043#386—591no—
1044#386—591no—
1045#386—591no—
1046#386—591no—
1047#386—591no—
1048#386—591no—
1049#386—591no—
1050#386—591no—
1051#386—591no—
1052#386—591no—
1053#386—591no—
1054#386—591no—
1055#386C2×D5911yescharacteristic
1056#386C2×D5911yescharacteristic
1057#382—591no—
1058#382—591no—
1059#382—591no—
1060#382C2×D5911yescharacteristic, complemented
1061#381—591no—
1062#381—591no—
1063#381—591no—
1064#381C2×D5911yescharacteristic, complemented
1065#379—591no—
1066#379—591no—
1067#379—591no—
1068#379—591no—
1069C4×C22⋊C4—591no—
1070C4×C22⋊C4—591no—
1071C4×C22⋊C4—591no—
1072C4×C22⋊C4—591no—
1073C4×C22⋊C4—591no—
1074C4×C22⋊C4—591no—
1075C4×C22⋊C4—591no—
1076C4×C22⋊C4C2×D5911yescharacteristic, complemented
1077C2×#95—591no—
1078C2×#95—591no—
1079C2×#95—591no—
1080C2×#95—591no—
1081C2×#95—591no—
1082C2×#95C2×D5911yescharacteristic, complemented
1083C59#3499311yescharacteristic, complemented, Sylow
1084C25—591no—
1085C25—591no—
1086C25—591no—
1087C22×Q8—591no—
1088C22×Q8—591no—
1089C22×Q8—591no—
1090C22×Q8C22×D5911yescharacteristic
1091C22×D4—591no—
1092C22×D4—591no—
1093C22×D4—591no—
1094C22×D4—591no—
1095C22×D4—591no—
1096C22×D4—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—591no—
1101C22×D4—591no—
1102C22×D4—1184no—
1103C22×D4—1184no—
1104C22×D4—1184no—
1105C22×D4—1184no—
1106C22×D4—1184no—
1107C22×D4—1184no—
1108C22×D4C22×D5911yescharacteristic
1109C23×C4—591no—
1110C23×C4—591no—
1111C23×C4—591no—
1112C23×C4—591no—
1113C23×C4—591no—
1114C23×C4—591no—
1115C23×C4—591no—
1116C23×C4—591no—
1117C23×C4—591no—
1118C23×C4—591no—
1119C23×C4—591no—
1120C23×C4—591no—
1121C23×C4—591no—
1122C23×C4—1184no—
1123C23×C4—2362no—
1124C23×C4—2362no—
1125C23×C4C22×D5911yescharacteristic
1126C23×C4C22×D5911yescharacteristic
1127C23×C4C22×D5911yescharacteristic
1128#124—2362no—
1129#124—2362no—
1130#124—2362no—
1131#124—2362no—
1132#123—24no—
1133#123—1184no—
1134#123—1184no—
1135#123—1184no—
1136C22⋊Q8—24no—
1137C22⋊Q8—1184no—
1138C22⋊Q8—1184no—
1139C22⋊Q8—1184no—
1140C22⋊Q8—1184no—
1141C22⋊Q8—1184no—
1142C22⋊Q8—1184no—
1143C22⋊Q8—1184no—
1144C22⋊Q8—1184no—
1145C22⋊Q8—1184no—
1146C22⋊Q8—1184no—
1147C22⋊Q8—1184no—
1148#121—1184no—
1149#121—1184no—
1150#121—1184no—
1151#121—1184no—
1152#120—1184no—
1153#120—1184no—
1154#120—1184no—
1155#120—1184no—
1156C2×C4⋊C4—591no—
1157C2×C4⋊C4—591no—
1158C2×C4⋊C4—591no—
1159C2×C4⋊C4—591no—
1160C2×C4⋊C4—591no—
1161C2×C4⋊C4—591no—
1162C2×C4⋊C4—591no—
1163C2×C4⋊C4—591no—
1164C2×C4⋊C4—591no—
1165C2×C4⋊C4—591no—
1166C2×C4⋊C4—591no—
1167C2×C4⋊C4C22×D5911yescharacteristic
1168C2×C4⋊C4C22×D5911yescharacteristic
1169C2×C4⋊C4C22×D5911yescharacteristic
1170C2×C4⋊C4C22×D5911yescharacteristic
1171C2×C4⋊C4C22×D5911yescharacteristic
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—598no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—591no—
1204C2×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—591no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—1184no—
1221C2×C22⋊C4—1184no—
1222C2×C22⋊C4—1184no—
1223C2×C22⋊C4—2362no—
1224C2×C22⋊C4—2362no—
1225C2×C22⋊C4—2362no—
1226C2×C22⋊C4—2362no—
1227C2×C22⋊C4C22×D5911yescharacteristic
1228C2×C22⋊C4C22×D5911yescharacteristic
1229C2×C22⋊C4C22×D5911yescharacteristic
1230C2×C22⋊C4C22×D5911yescharacteristic
1231C2×C22⋊C4C22×D5911yescharacteristic
1232C2×C22⋊C4C22×D5911yescharacteristic
1233C2×C22⋊C4C22×D5911yescharacteristic
1234C2×C22⋊C4C22×D5911yescharacteristic
1235C2×C22⋊C4C22×D5911yescharacteristic
1236C2×C42—591no—
1237C2×C42—591no—
1238C2×C42—591no—
1239C2×C42—591no—
1240C2×C42—591no—
1241C2×C42—591no—
1242C2×C42—2362no—
1243C2×C42—2362no—
1244C2×C42C22×D5911yescharacteristic
1245C2×C42C22×D5911yescharacteristic
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253#95—591no—
1254#95—591no—
1255#95—591no—
1256#95—591no—
1257#95—591no—
1258#95—591no—
1259#95—591no—
1260#95—591no—
1261#95—591no—
1262#95—591no—
1263#95—591no—
1264#95—591no—
1265#95—591no—
1266#95—591no—
1267#95—591no—
1268#95—591no—
1269#95—591no—
1270#95—591no—
1271#95—591no—
1272#95C22×D5911yescharacteristic
1273#95C22×D5911yescharacteristic
1274#95C22×D5911yescharacteristic
1275#95C22×D5911yescharacteristic
1276#95C22×D5911yescharacteristic
1277#95C22×D5911yescharacteristic
1278#95C22×D5911yescharacteristic
1279#95C22×D5911yescharacteristic
1280#95C22×D5911yescharacteristic
1281#95C22×D5911yescharacteristic
1282#95C22×D5911yescharacteristic
1283#95C22×D5911yescharacteristic
1284#95C22×D5911yescharacteristic
1285#95C22×D5911yescharacteristic
1286C24—591no—
1287C24—591no—
1288C24—594no—
1289C24—594no—
1290C24—594no—
1291C24—591no—
1292C24—591no—
1293C24—591no—
1294C24—1182no—
1295C24—1182no—
1296C24—1182no—
1297C24—1182no—
1298C24—1182no—
1299C24—1182no—
1300C24—2361no—
1301C24—2361no—
1302C24—2361no—
1303C24—2361no—
1304C24—2361no—
1305C24—2361no—
1306C24—2361no—
1307C24—2361no—
1308C24—2361no—
1309C24—2361no—
1310C24—2361no—
1311C24—2361no—
1312C24C23×D5911yescharacteristic
1313C24C23×D5911yescharacteristic
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×Q8—41no—
1317C2×Q8—1182no—
1318C2×Q8—1182no—
1319C2×Q8—1182no—
1320C2×Q8—2361no—
1321C2×Q8—2361no—
1322C2×Q8—2361no—
1323C2×Q8—2361no—
1324C2×Q8—2361no—
1325C2×Q8—2361no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—1182no—
1330C2×D4—1182no—
1331C2×D4—1182no—
1332C2×D4—1182no—
1333C2×D4—1182no—
1334C2×D4—1182no—
1335C2×D4—1182no—
1336C2×D4—1182no—
1337C2×D4—1182no—
1338C2×D4—1182no—
1339C2×D4—1182no—
1340C2×D4—1182no—
1341C2×D4—1182no—
1342C2×D4—1182no—
1343C2×D4—1182no—
1344C2×D4—1182no—
1345C2×D4—1182no—
1346C2×D4—1182no—
1347C2×D4—1182no—
1348C2×D4—1182no—
1349C2×D4—1182no—
1350C2×D4—1182no—
1351C2×D4—1182no—
1352C2×D4—1182no—
1353C2×D4—1182no—
1354C2×D4—2361no—
1355C2×D4—2361no—
1356C2×D4—2361no—
1357C2×D4—2361no—
1358C2×D4—23616no—
1359C2×D4—2361no—
1360C2×D4—2361no—
1361C2×D4—2361no—
1362C2×D4—2361no—
1363C2×D4—23616no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—591no—
1374C22×C4—591no—
1375C22×C4—591no—
1376C22×C4—594no—
1377C22×C4—594no—
1378C22×C4—591no—
1379C22×C4—591no—
1380C22×C4—591no—
1381C22×C4—591no—
1382C22×C4—591no—
1383C22×C4—591no—
1384C22×C4—591no—
1385C22×C4—591no—
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—2361no—
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—23616no—
1421C22×C4—2361no—
1422C22×C4—2361no—
1423C22×C4—2361no—
1424C22×C4C23×D5911yescharacteristic
1425C22×C4C23×D5911yescharacteristic
1426C22×C4C23×D5911yescharacteristic
1427C22×C4C23×D5911yescharacteristic
1428C22×C4C23×D5911yescharacteristic
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431C22×C4C23×D5911yescharacteristic
1432C22×C4C23×D5911yescharacteristic
1433C22×C4C23×D5911yescharacteristic
1434C22×C4C23×D5911yescharacteristic
1435C22×C4C23×D5911yescharacteristic
1436C22×C4C23×D5911yescharacteristic
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—1182no—
1443C4⋊C4—1182no—
1444C4⋊C4—1182no—
1445C4⋊C4—1182no—
1446C4⋊C4—1182no—
1447C4⋊C4—1182no—
1448C4⋊C4—1182no—
1449C4⋊C4—1182no—
1450C4⋊C4—1182no—
1451C4⋊C4—1182no—
1452C4⋊C4—1182no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—594no—
1462C22⋊C4—594no—
1463C22⋊C4—594no—
1464C22⋊C4—1182no—
1465C22⋊C4—1182no—
1466C22⋊C4—1182no—
1467C22⋊C4—1182no—
1468C22⋊C4—1182no—
1469C22⋊C4—1182no—
1470C22⋊C4—1182no—
1471C22⋊C4—1182no—
1472C22⋊C4—1182no—
1473C22⋊C4—1182no—
1474C22⋊C4—1182no—
1475C22⋊C4—1182no—
1476C22⋊C4—1182no—
1477C22⋊C4—1182no—
1478C22⋊C4—1182no—
1479C22⋊C4—1182no—
1480C22⋊C4—1182no—
1481C22⋊C4—1182no—
1482C22⋊C4—1182no—
1483C22⋊C4—1182no—
1484C22⋊C4—1182no—
1485C22⋊C4—1182no—
1486C22⋊C4—1182no—
1487C22⋊C4—2361no—
1488C22⋊C4—2361no—
1489C22⋊C4—2361no—
1490C22⋊C4—2361no—
1491C22⋊C4—2361no—
1492C22⋊C4—2361no—
1493C22⋊C4—2361no—
1494C22⋊C4—2361no—
1495C22⋊C4—2361no—
1496C22⋊C4—2361no—
1497C22⋊C4—2361no—
1498C22⋊C4—2361no—
1499C22⋊C4—2361no—
1500C22⋊C4—2361no—
1501C22⋊C4—2361no—
1502C22⋊C4—2361no—
1503C22⋊C4—2361no—
1504C22⋊C4—2361no—
1505C22⋊C4—2361no—
1506C22⋊C4—2361no—
1507C22⋊C4—2361no—
1508C22⋊C4D4×D5914yes—
1509C42—22no—
1510C42—41no—
1511C42—1182no—
1512C42—1182no—
1513C42—1182no—
1514C42—2361no—
1515C42—2361no—
1516C42—2361no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—592no—
1529C23—592no—
1530C23—592no—
1531C23—592no—
1532C23—592no—
1533C23—592no—
1534C23—5916no—
1535C23—1181no—
1536C23—1181no—
1537C23—1181no—
1538C23—1181no—
1539C23—1181no—
1540C23—1181no—
1541C23—1181no—
1542C23—1181no—
1543C23—1181no—
1544C23—1181no—
1545C23—1181no—
1546C23—1181no—
1547C23—1181no—
1548C23—1181no—
1549C23—1181no—
1550C23—1181no—
1551C23—1181no—
1552C23—1181no—
1553C23—1181no—
1554C23—1181no—
1555C23—1181no—
1556C23—1181no—
1557C23—1181no—
1558C23—1181no—
1559C23—1181no—
1560C23—1181no—
1561C23—1181no—
1562C23—1181no—
1563C23—1181no—
1564C23—4722no—
1565C23—4722no—
1566C23—4722no—
1567C23—4722no—
1568C23—4722no—
1569C23—4722no—
1570C23—4722no—
1571C23—4722no—
1572C23—2364no—
1573C23—2364no—
1574C23—2364no—
1575C23—2364no—
1576C23—2364no—
1577C23—2364no—
1578C23—2364no—
1579C23—2364no—
1580C23—2364no—
1581C23—2364no—
1582C23—2364no—
1583C23—2364no—
1584C23C2×D4×D5912yes—
1585C23#41×D5912yes—
1586C23#41×D5912yes—
1587C23C24×D5911yescharacteristic
1588Q8—82no—
1589Q8—4722no—
1590Q8—4722no—
1591Q8—4722no—
1592D4—44no—
1593D4—4722no—
1594D4—4722no—
1595D4—4722no—
1596D4—4722no—
1597D4—2364no—
1598D4—2364no—
1599D4—2364no—
1600D4—2364no—
1601D4—2364no—
1602D4—2364no—
1603D4—2364no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—82no—
1643C2×C4—592no—
1644C2×C4—592no—
1645C2×C4—592no—
1646C2×C4—1188no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—1181no—
1653C2×C4—1181no—
1654C2×C4—1181no—
1655C2×C4—1181no—
1656C2×C4—1181no—
1657C2×C4—1181no—
1658C2×C4—1181no—
1659C2×C4—1181no—
1660C2×C4—1181no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—4722no—
1678C2×C4—4722no—
1679C2×C4—4722no—
1680C2×C4—2364no—
1681C2×C4—2364no—
1682C2×C4—2364no—
1683C2×C4—2364no—
1684C2×C4—2364no—
1685C2×C4—2364no—
1686C2×C4—2364no—
1687C2×C4—2364no—
1688C2×C4—2364no—
1689C2×C4C2×D4×D5912yes—
1690C2×C4C2×D4×D5912yes—
1691C2×C4#1427377312yes—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—594no—
1706C22—594no—
1707C22—1182no—
1708C22—1182no—
1709C22—1182no—
1710C22—1182no—
1711C22—1182no—
1712C22—1182no—
1713C22—1182no—
1714C22—1182no—
1715C22—1182no—
1716C22—1182no—
1717C22—1182no—
1718C22—1182no—
1719C22—4728no—
1720C22—4728no—
1721C22—23616no—
1722C22—2361no—
1723C22—2361no—
1724C22—2361no—
1725C22—2361no—
1726C22—2361no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22—2361no—
1740C22—2361no—
1741C22—2361no—
1742C22—2361no—
1743C22#124×D5914yes—
1744C22C22×D4×D5911yescharacteristic
1745C22C2×#41×D5911yescharacteristic
1746C22C2×#41×D5911yescharacteristic
1747C22H(5,𝔽2)×D5911yescharacteristic
1748C22C2×#1427377311yescharacteristic
1749C22#1683823811yescharacteristic
1750C22#1683823911yescharacteristic
1751C4—22no—
1752C4—22no—
1753C4—22no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—1182no—
1765C4—1182no—
1766C4—1182no—
1767C4—2361no—
1768C4—2361no—
1769C4—2361no—
1770C4—2361no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C2—24no—
1776C2—81no—
1777C2—1184no—
1778C2—1184no—
1779C2—4721no—
1780C2—4721no—
1781C2—4721no—
1782C2C2×#124×D5911yescharacteristic
1783C2#2143750411yescharacteristic
1784C2#2143750611yescharacteristic
1785C2#2143778011yescharacteristic
1786C2#2143779111yescharacteristic
1787C2#2143785411yescharacteristic
1788C2#2143785611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2488C2
prime radicalC2×#16837963C2
hypercenter#2488D59
hypocenterC59#34993
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
1. C2×#16838027C2semidirect
3. #21432400C2semidirect
4. #21432398C2semidirect
5. #21432394C2semidirect
6. #21432394C2semidirect
7. #21430028C2semidirect
8. #21430028C2semidirect
9. #21430025C2semidirect
10. #21430023C2semidirect
11. #21428429C2semidirect
12. #21428426C2semidirect
13. #21428423C2semidirect
14. #21428422C2semidirect
15. #21428419C2semidirect
16. #21428418C2semidirect
17. #21428417C2semidirect
18. #21428229C2semidirect
19. #21428227C2semidirect
20. #21428226C2semidirect
21. #21428225C2semidirect
22. #21428224C2semidirect
23. #21428222C2semidirect
24. #21428220C2semidirect
25. #21428215C2semidirect
26. #21426673C2semidirect
27. #21426670C2semidirect
28. C2×#16837280C2semidirect
29. #386×D59C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2488C2semidirect
37. C2×#14273716C22semidirect
38. C2×#14273715C22semidirect
39. C2×#14273713C22semidirect
40. C2×#14273713C22semidirect
44. C2×#14273707C22semidirect
45. C2×#14273707C22semidirect
46. C2×#14273706C22semidirect
47. C2×#14273705C22semidirect
48. C2×#14273705C22semidirect
49. C2×#14273705C22semidirect
50. C2×#14273705C22semidirect
51. C2×#14273704C22semidirect
52. C2×#14273704C22semidirect
53. C2×#14273703C22semidirect
54. C2×#14273703C22semidirect
64. C22×(C2×D59)⋊C4C22semidirect
65. C22×(C2×D59)⋊C4C22semidirect
69. C2×C22⋊C4×D59C22semidirect
70. C2×C22⋊C4×D59C22semidirect
71. C2×C42×D59C22semidirect
72. C2×C42×D59C22semidirect
73. #16837344C22semidirect
74. #16837344C22semidirect
75. #16837343C22semidirect
76. #16837343C22semidirect
77. #16837340C22semidirect
78. #16837340C22semidirect
79. #16837331C22semidirect
80. #16837331C22semidirect
81. #16837331C22semidirect
82. #16837331C22semidirect
83. #16837329C22semidirect
84. #16837328C22semidirect
85. #16837327C22semidirect
86. #16837320C22semidirect
87. #16837320C22semidirect
88. #16837319C22semidirect
89. #16837319C22semidirect
90. #16837318C22semidirect
91. #16837318C22semidirect
92. #16837317C22semidirect
93. #16837317C22semidirect
94. #16837315C22semidirect
95. #16837315C22semidirect
96. #16837315C22semidirect
97. #16837315C22semidirect
98. #16837315C22semidirect
99. #16837314C22semidirect
100. #16837313C22semidirect
101. #16837307C22semidirect
102. #16837306C22semidirect
103. #16837306C22semidirect
104. #16837304C22semidirect
105. #16837303C22semidirect
106. #16837302C22semidirect
107. #16837302C22semidirect
108. #16837296C22semidirect
109. #16837296C22semidirect
110. #16837294C22semidirect
111. #16837294C22semidirect
112. #16837294C22semidirect
113. #16837294C22semidirect
114. #16837293C22semidirect
115. #16837293C22semidirect
116. #16837292C22semidirect
117. #16837292C22semidirect
118. #16837291C22semidirect
119. #16837291C22semidirect
120. #16837291C22semidirect
121. #16837291C22semidirect
134. #16837280C22semidirect
135. #16837280C22semidirect
136. #16837280C22semidirect
137. #16837280C22semidirect
138. #16837280C22semidirect
139. #16837280C22semidirect
140. #16837280C22semidirect
141. #16837280C22semidirect
142. #16837280C22semidirect
143. #16837280C22semidirect
144. #16837280C22semidirect
145. #16837280C22semidirect
148. #16837278C22semidirect
149. #16837278C22semidirect
150. #16837278C22semidirect
151. #16837278C22semidirect
152. #16837267C22semidirect
153. #16837266C22semidirect
154. #16837266C22semidirect
155. #16837265C22semidirect
156. #16837264C22semidirect
157. #16837264C22semidirect
158. #16837257C22semidirect
159. #16837257C22semidirect
160. #16837257C22semidirect
161. #16837257C22semidirect
162. C22⋊C4×Dic59C22semidirect
163. C22⋊C4×Dic59C22semidirect
164. C4×(C2×D59)⋊C4C22semidirect
165. C4×(C2×D59)⋊C4C22semidirect
166. C4×C22⋊Dic59C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. C2×C59⋊#95C22semidirect
170. #95×D59C22semidirect
171. #95×D59C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
175. C2×C22⋊Q8×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#400C22semidirect
178. C59×#397C22semidirect
179. C59×#393C22semidirect
180. C59×#391C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
185. C59×#382C22semidirect
186. C59×#381C22semidirect
187. C4×C22⋊C4×C59C22semidirect
188. C2×#95×C59C22semidirect
686. C22×D59#124semidirect
898. #2488D59semidirect
950. C2×C22⋊Q8C2×D59semidirect
975. #400C2×D59semidirect
976. #400C2×D59semidirect
984. #397C2×D59semidirect
1000. #393C2×D59semidirect
1004. #391C2×D59semidirect
1023. #388C2×D59semidirect
1024. #388C2×D59semidirect
1060. #382C2×D59semidirect
1064. #381C2×D59semidirect
1076. C4×C22⋊C4C2×D59semidirect
1082. C2×#95C2×D59semidirect
1083. C59#34993semidirect

Maximal subgroups

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

subgroupindex
C2×#168380272
C2×#168379632
#214324002
#214323982
#214323942
#214300282
#214300252
#214300232
#214284292
#214284262
#214284232
#214284222
#214284192
#214284182
#214284172
#214282292
#214282272
#214282262
#214282252
#214282242
#214282222
#214282202
#214282152
#214266732
#214266702
C2×#168372802
#386×D592
C4×C22⋊C4×D592
C59×#24882
#3499359