Finite Group Databasebeta

← #26389379

Subgroups — #26389379

Order 12032.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251768C211yesmaximal, characteristic, complemented
2#20251764C211yesmaximal, characteristic, complemented
3#20251738C211yesmaximal, characteristic, complemented
4#20251725C211yesmaximal, characteristic, complemented
5#20249571C211yesmaximal, characteristic, complemented
6#20249569C211yesmaximal, characteristic, complemented
7#20249561C211yesmaximal, characteristic, complemented
8#20249560C211yesmaximal, characteristic, complemented
9#20248798C211yesmaximal, characteristic, complemented
10#20248796C211yesmaximal, characteristic, complemented
11#20248669C211yesmaximal, characteristic, complemented
12#20248661C211yesmaximal, characteristic, complemented
13#20247962C211yesmaximal, characteristic, complemented
14#20247895C211yesmaximal, characteristic, complemented
15#20247893C211yesmaximal, characteristic, complemented
16#20247759C211yesmaximal, characteristic, complemented
17#20247218C211yesmaximal, characteristic
18#20247216C211yesmaximal, characteristic
19#20247163C211yesmaximal, characteristic, complemented
20#20247089C211yesmaximal, characteristic, complemented
21#20247030C211yesmaximal, characteristic, complemented
22#20246984C211yesmaximal, characteristic, complemented
23#20246836C211yesmaximal, characteristic
24#20246750C211yesmaximal, characteristic
25#20246121C211yesmaximal, characteristic, complemented
26#20246116C211yesmaximal, characteristic, complemented
27#20246021C211yesmaximal, characteristic
28C4×#13094001C211yesmaximal, characteristic, complemented
29C2×#15689027C211yesmaximal, characteristic, complemented
30C4×D4×Dic47C211yesmaximal, characteristic
31C47×#2318C211yesmaximal, characteristic
32C23×Dic94C2211yescharacteristic
33C2×#13094023C2211yescharacteristic
34C2×#13094023C2211yescharacteristic
35C2×#13094023C2211yescharacteristic
36C2×#13094003C2211yescharacteristic
37C2×#13094001C2211yescharacteristic
38C2×#13094001C2211yescharacteristic
39C2×#13094001C2211yescharacteristic
40C2×#13094001C2211yescharacteristic
41C2×#13094001C2211yescharacteristic
42C2×C4×Dic94C2211yescharacteristic
43C2×D4×Dic47C2211yescharacteristic
44C2×D4×Dic47C2211yescharacteristic
45C22×Dic47⋊C4C2211yescharacteristic
46C22×C4×Dic47C2211yescharacteristic
47C22×C4×Dic47C2211yescharacteristic
48#15689065C2211yescharacteristic
49#15689065C2211yescharacteristic
50#15689065C2211yescharacteristic
51#15689065C2211yescharacteristic
52#15689065C2211yescharacteristic
53#15689062C2211yescharacteristic
54#15689062C2211yescharacteristic
55#15689062C2211yescharacteristic
56#15689057C2211yescharacteristic
57#15689057C2211yescharacteristic
58#15689057C2211yescharacteristic
59#15689056C2211yescharacteristic
60#15689056C2211yescharacteristic
61#15689055C2211yescharacteristic
62#15689055C2211yescharacteristic
63#15689055C2211yescharacteristic
64#15689046C2211yescharacteristic
65#15689046C2211yescharacteristic
66#15689046C2211yescharacteristic
67#15689046C2211yescharacteristic
68#15689044C2211yescharacteristic
69#15689044C2211yescharacteristic
70#15689044C2211yescharacteristic
71#15689044C2211yescharacteristic
72#15689044C2211yescharacteristic
73#15689043C2211yescharacteristic
74#15689043C2211yescharacteristic
75#15689043C2211yescharacteristic
76#15689035C2211yescharacteristic
77#15689035C2211yescharacteristic
78#15689035C2211yescharacteristic
79#15689035C2211yescharacteristic
80#15689029C2211yescharacteristic
81#15689027C2211yescharacteristic
82#15689027C2211yescharacteristic
83#15689027C2211yescharacteristic
84#15689027C2211yescharacteristic
85#15689027C2211yescharacteristic
86#15689027C2211yescharacteristic
87#15689027C2211yescharacteristic
88#15689027C2211yescharacteristic
89#15689027C2211yescharacteristic
90#15689027C2211yescharacteristic
91#15689027C2211yescharacteristic
92#15689027C2211yescharacteristic
93#15689027C2211yescharacteristic
94#15689027C2211yescharacteristic
95#15689027C2211yescharacteristic
96#15689027C2211yescharacteristic
97#15689027C2211yescharacteristic
98#15689027C2211yescharacteristic
99#15689027C2211yescharacteristic
100#15689022C2211yescharacteristic
101#15689021C2211yescharacteristic
102#15689020C2211yescharacteristic
103#15689020C2211yescharacteristic
104#15689020C2211yescharacteristic
105#15689020C2211yescharacteristic
106#15689020C2211yescharacteristic
107#15689020C2211yescharacteristic
108#15689020C2211yescharacteristic
109#15689019C2211yescharacteristic
110#15689016C2211yescharacteristic
111#15689016C2211yescharacteristic
112#15689010C2211yescharacteristic
113#15689010C2211yescharacteristic
114#15689010C2211yescharacteristic
115#15689010C2211yescharacteristic
116#15689010C2211yescharacteristic
117#15689010C2211yescharacteristic
118#15689010C2211yescharacteristic
119#15689009C2211yescharacteristic
120#15689009C2211yescharacteristic
121#15689007C2211yescharacteristic
122#15689007C2211yescharacteristic
123#15689006C2211yescharacteristic
124#15689006C2211yescharacteristic
125#15689006C2211yescharacteristic
126#15689006C2211yescharacteristic
127#15689006C2211yescharacteristic
128#15689006C2211yescharacteristic
129#15689006C2211yescharacteristic
130#15689003C2211yescharacteristic
131#15689003C2211yescharacteristic
132#15688998C2211yescharacteristic
133#15688998C2211yescharacteristic
134#15688998C2211yescharacteristic
135#15688998C2211yescharacteristic
136#15688998C2211yescharacteristic
137#15688996C2211yescharacteristic
138#15688996C2211yescharacteristic
139#15688995C2211yescharacteristic
140#15688995C2211yescharacteristic
141#15688995C2211yescharacteristic
142#15688992C2211yescharacteristic
143#15688991C2211yescharacteristic
144#15688989C2211yescharacteristic
145#15688988C2211yescharacteristic
146#15688988C2211yescharacteristic
147#15688986C2211yescharacteristic
148#15688983C2211yescharacteristic
149#15688983C2211yescharacteristic
150#15688981C2211yescharacteristic
151#15688981C2211yescharacteristic
152#15688981C2211yescharacteristic
153#15688981C2211yescharacteristic
154#15688981C2211yescharacteristic
155C4⋊C4×Dic47C2211yescharacteristic
156C4⋊C4×Dic47C2211yescharacteristic
157C4×Dic47⋊C4C2211yescharacteristic
158C4×Dic47⋊C4C2211yescharacteristic
159C4×C4⋊Dic47C2211yescharacteristic
160C4×C4⋊Dic47C2211yescharacteristic
161C22⋊C4×Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C22⋊C4×Dic47C2211yescharacteristic
165C4×C22⋊Dic47C2211yescharacteristic
166C4×C22⋊Dic47C2211yescharacteristic
167C4×C22⋊Dic47C2211yescharacteristic
168C2×C47⋊#95C2211yescharacteristic
169C2×C47⋊#95C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C2×C4×D4×C47C2211yescharacteristic
173C47×#388C2211yescharacteristic
174C47×#388C2211yescharacteristic
175C47×#387C2211yescharacteristic
176C47×#387C2211yescharacteristic
177C47×#386C2211yescharacteristic
178C47×#386C2211yescharacteristic
179C47×#385C2211yescharacteristic
180C47×#385C2211yescharacteristic
181C47×#383C2211yescharacteristic
182C47×#382C2211yescharacteristic
183C47×#381C2211yescharacteristic
184C47×#380C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C22×Dic94—24no—
188C22×Dic94—42no—
189C22×Dic94—42no—
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×Dic94C2311yescharacteristic
196C22×Dic94C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203#13094023—42no—
204#13094023—42no—
205#13094023—42no—
206#13094003—24no—
207#13094001—24no—
208#13094001—24no—
209#13094001—42no—
210#13094001—42no—
211#13094001—42no—
212C4×Dic94—42no—
213D4×Dic47—24no—
214D4×Dic47—24no—
215C2×C4⋊Dic47C2311yescharacteristic
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×C4⋊Dic47C2311yescharacteristic
219C2×C4⋊Dic47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×Dic47⋊C4—42no—
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C4×Dic47—42no—
264C2×C4×Dic47—42no—
265C2×C4×Dic47C2311yescharacteristic
266C2×C4×Dic47C2311yescharacteristic
267C2×C4×Dic47C2311yescharacteristic
268C2×C4×Dic47C2311yescharacteristic
269C2×C4×Dic47C2311yescharacteristic
270C2×C4×Dic47C2311yescharacteristic
271C2×C4×Dic47C2311yescharacteristic
272C2×C4×Dic47C2311yescharacteristic
273C2×C4×Dic47C2311yescharacteristic
274C2×C4×Dic47C2311yescharacteristic
275C2×C4×Dic47C2311yescharacteristic
276C2×C4×Dic47C2311yescharacteristic
277C2×C4×Dic47C2311yescharacteristic
278C2×C4×Dic47C2311yescharacteristic
279C47⋊#95C2311yescharacteristic
280C47⋊#95C2311yescharacteristic
281C47⋊#95C2311yescharacteristic
282C47⋊#95C2311yescharacteristic
283C47⋊#95C2311yescharacteristic
284C47⋊#95C2311yescharacteristic
285C47⋊#95C2311yescharacteristic
286C47⋊#95C2311yescharacteristic
287C47⋊#95C2311yescharacteristic
288C47⋊#95C2311yescharacteristic
289C47⋊#95C2311yescharacteristic
290C47⋊#95C2311yescharacteristic
291C47⋊#95C2311yescharacteristic
292C47⋊#95C2311yescharacteristic
293C47⋊#95C2311yescharacteristic
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C22×D4×C47C2311yescharacteristic
326C23×C4×C47C2311yescharacteristic
327C23×C4×C47C2311yescharacteristic
328C23×C4×C47C2311yescharacteristic
329C23×C4×C47C2311yescharacteristic
330C4×D4×C47Q818yescomplemented
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C22⋊C4×C47C2311yescharacteristic
337C2×C22⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C42×C47C2311yescharacteristic
345C2×C42×C47C2311yescharacteristic
346C2×C42×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361C24×C47C2411yescharacteristic
362C24×C47C2411yescharacteristic
363C2×D4×C47—22no—
364C2×D4×C47—22no—
365C2×D4×C47C2×Q814yes—
366C22×C4×C47—22no—
367C22×C4×C47—22no—
368C22×C4×C47—41no—
369C22×C4×C47—41no—
370C22×C4×C47—41no—
371C22×C4×C47—41no—
372C22×C4×C47—41no—
373C22×C4×C47—41no—
374C22×C4×C47—41no—
375C22×C4×C47—41no—
376C22×C4×C47C2×Q814yes—
377C22×C4×C47C2×Q814yescomplemented
378C22×C4×C47C2411yescharacteristic
379C22×C4×C47C2411yescharacteristic
380C22×C4×C47C2411yescharacteristic
381C22×C4×C47C2411yescharacteristic
382C22×C4×C47C2411yescharacteristic
383C22×C4×C47C2411yescharacteristic
384C22×C4×C47C2411yescharacteristic
385C22×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×C4×C47C2411yescharacteristic
388C22×C4×C47C2411yescharacteristic
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×Dic47—22no—
392C22×Dic47—22no—
393C22×Dic47—22no—
394C22×Dic47—22no—
395C22×Dic47—22no—
396C22×Dic47—22no—
397C22×Dic47—22no—
398C22×Dic47—22no—
399C22×Dic47—22no—
400C22×Dic47—22no—
401C22×Dic47—22no—
402C22×Dic47—41no—
403C22×Dic47—41no—
404C22×Dic47—41no—
405C22×Dic47—41no—
406C22×Dic47—41no—
407C22×Dic47—41no—
408C22×Dic47#4114yes—
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C2×Dic94—22no—
426C2×Dic94—22no—
427C2×Dic94—22no—
428C2×Dic94—22no—
429C2×Dic94—22no—
430C2×Dic94—22no—
431C2×Dic94—22no—
432C2×Dic94—22no—
433C2×Dic94—22no—
434C2×Dic94—22no—
435C2×Dic94—22no—
436C2×Dic94—22no—
437C2×Dic94—22no—
438C2×Dic94—41no—
439C2×Dic94—41no—
440C2×Dic94—41no—
441C2×Dic94—41no—
442C2×Dic94—416no—
443C2×Dic94—41no—
444C2×Dic94—41no—
445C2×Dic94—41no—
446C2×Dic94—41no—
447C4⋊C4×C47—41no—
448C4⋊C4×C47—41no—
449C4⋊C4×C47—41no—
450C4⋊C4×C47—41no—
451C4⋊C4×C47C2×Q814yescomplemented
452C22⋊C4×C47—22no—
453C22⋊C4×C47—22no—
454C22⋊C4×C47—41no—
455C22⋊C4×C47—41no—
456C22⋊C4×C47—41no—
457C22⋊C4×C47—41no—
458C22⋊C4×C47C2×Q814yes—
459C22⋊C4×C47C2×Q814yescomplemented
460C42×C47—41no—
461C42×C47—41no—
462C42×C47C2×Q814yescomplemented
463C22⋊Dic47—22no—
464C22⋊Dic47—22no—
465C22⋊Dic47—22no—
466C22⋊Dic47—22no—
467C22⋊Dic47—22no—
468C22⋊Dic47—41no—
469C22⋊Dic47—41no—
470C22⋊Dic47—41no—
471C22⋊Dic47—41no—
472C22⋊Dic47#4114yes—
473C4⋊Dic47—22no—
474C4⋊Dic47—22no—
475C4⋊Dic47—22no—
476C4⋊Dic47—22no—
477C4⋊Dic47—22no—
478C4⋊Dic47—22no—
479C4⋊Dic47—41no—
480C4⋊Dic47—41no—
481C4⋊Dic47—41no—
482C4⋊Dic47—41no—
483C4⋊Dic47—41no—
484C4⋊Dic47—41no—
485C4⋊Dic47—41no—
486C4⋊Dic47—41no—
487C4⋊Dic47—41no—
488Dic47⋊C4—22no—
489Dic47⋊C4—22no—
490Dic47⋊C4—22no—
491Dic47⋊C4—22no—
492Dic47⋊C4—22no—
493Dic47⋊C4—22no—
494Dic47⋊C4—22no—
495Dic47⋊C4—22no—
496Dic47⋊C4—22no—
497Dic47⋊C4—22no—
498Dic47⋊C4—22no—
499Dic47⋊C4—41no—
500Dic47⋊C4—41no—
501Dic47⋊C4—41no—
502Dic47⋊C4—41no—
503Dic47⋊C4—41no—
504Dic47⋊C4—41no—
505Dic47⋊C4—41no—
506Dic47⋊C4—41no—
507Dic47⋊C4—41no—
508Dic47⋊C4—41no—
509Dic47⋊C4—41no—
510C4×Dic47—22no—
511C4×Dic47—22no—
512C4×Dic47—22no—
513C4×Dic47—22no—
514C4×Dic47—22no—
515C4×Dic47—22no—
516C4×Dic47—22no—
517C4×Dic47—41no—
518C4×Dic47—41no—
519C4×Dic47—41no—
520C4×Dic47—41no—
521C4×Dic47—41no—
522C4×Dic47—41no—
523C4×Dic47—41no—
524C23×C47—21no—
525C23×C47—21no—
526C23×C47—21no—
527C23×C47—21no—
528C23×C47—21no—
529C23×C47—21no—
530C23×C47—21no—
531C23×C47—21no—
532C23×C47—21no—
533C23×C47—21no—
534C23×C47C22×Q812yes—
535C23×C47C22×Q812yes—
536C23×C47C2×#4112yes—
537C23×C47C2×#4112yes—
538C23×C47C2511yescharacteristic
539D4×C47—28no—
540C2×C4×C47—21no—
541C2×C4×C47—21no—
542C2×C4×C47—21no—
543C2×C4×C47—21no—
544C2×C4×C47—21no—
545C2×C4×C47—21no—
546C2×C4×C47—21no—
547C2×C4×C47—21no—
548C2×C4×C47—21no—
549C2×C4×C47—21no—
550C2×C4×C47—21no—
551C2×C4×C47—21no—
552C2×C4×C47—21no—
553C2×C4×C47—21no—
554C2×C4×C47—21no—
555C2×C4×C47—21no—
556C2×C4×C47—21no—
557C2×C4×C47—21no—
558C2×C4×C47—21no—
559C2×C4×C47—21no—
560C2×C4×C47—21no—
561C2×C4×C47—21no—
562C2×C4×C47—21no—
563C2×C4×C47—21no—
564C2×C4×C47—21no—
565C2×C4×C47—21no—
566C2×C4×C47—21no—
567C2×C4×C47—21no—
568C2×C4×C47—21no—
569C2×C4×C47—21no—
570C2×C4×C47—21no—
571C2×C4×C47—21no—
572C2×C4×C47—21no—
573C2×C4×C47—21no—
574C2×C4×C47—44no—
575C2×C4×C47—44no—
576C2×C4×C47—44no—
577C2×C4×C47—82no—
578C2×C4×C47C22×Q812yes—
579C2×C4×C47C22×Q812yes—
580C2×C4×C47C22×Q812yes—
581C2×C4×C47C22×Q812yes—
582C2×C4×C47C22×Q812yes—
583C2×Dic47—21no—
584C2×Dic47—21no—
585C2×Dic47—21no—
586C2×Dic47—21no—
587C2×Dic47—21no—
588C2×Dic47—21no—
589C2×Dic47—21no—
590C2×Dic47—21no—
591C2×Dic47—28no—
592C2×Dic47—21no—
593C2×Dic47—21no—
594C2×Dic47—21no—
595C2×Dic47—21no—
596C2×Dic47—21no—
597C2×Dic47—21no—
598C2×Dic47—21no—
599C2×Dic47—21no—
600C2×Dic47—21no—
601C2×Dic47—21no—
602C2×Dic47—21no—
603C2×Dic47—21no—
604C2×Dic47—21no—
605C2×Dic47—21no—
606C2×Dic47—21no—
607C2×Dic47—21no—
608C2×Dic47—21no—
609C2×Dic47—21no—
610C2×Dic47—21no—
611C2×Dic47—21no—
612C2×Dic47—21no—
613C2×Dic47—21no—
614C2×Dic47—21no—
615C2×Dic47—21no—
616C2×Dic47—21no—
617C2×Dic47—21no—
618C2×Dic47—21no—
619C2×Dic47—21no—
620C2×Dic47—21no—
621C2×Dic47—21no—
622C2×Dic47—21no—
623C2×Dic47—21no—
624C2×Dic47—21no—
625C2×Dic47—44no—
626C2×Dic47—44no—
627C2×Dic47—44no—
628C2×Dic47—44no—
629C2×Dic47—82no—
630C2×Dic47C2×#4112yes—
631C2×Dic47C2×#4112yes—
632C2×Dic47C2×#4112yes—
633C2×Dic47C2×#4112yes—
634C2×Dic47H(5,𝔽2)12yes—
635C2×Dic47H(5,𝔽2)12yes—
636C2×Dic472−1+412yes—
637Dic94—44no—
638Dic94—44no—
639Dic94—44no—
640Dic94—44no—
641Dic94—44no—
642Dic94—82no—
643Dic94—82no—
644#35016—471nomaximal, Sylow
645C22×C47—22no—
646C22×C47—22no—
647C22×C47—22no—
648C22×C47—22no—
649C22×C47—22no—
650C22×C47—22no—
651C22×C47—22no—
652C22×C47—22no—
653C22×C47—22no—
654C22×C47—41no—
655C22×C47—41no—
656C22×C47—41no—
657C22×C47—41no—
658C22×C47#53314yes—
659C22×C47C23×Q811yescharacteristic
660C22×C47C22×#4111yescharacteristic
661C22×C47C22×#4111yescharacteristic
662C22×C47C2×H(5,𝔽2)11yescharacteristic
663C22×C47C2×H(5,𝔽2)11yescharacteristic
664C22×C47C2×2−1+411yescharacteristic
665C22×C47#58511yescharacteristic
666C4×C47—22no—
667C4×C47—22no—
668C4×C47—22no—
669C4×C47—22no—
670C4×C47—22no—
671C4×C47—41no—
672C4×C47—41no—
673C4×C47—41no—
674C4×C47—41no—
675C4×C47—41no—
676C4×C47—41no—
677C4×C47—41no—
678C4×C47—41no—
679Dic47—22no—
680Dic47—22no—
681Dic47—22no—
682Dic47—22no—
683Dic47—41no—
684Dic47—41no—
685Dic47—41no—
686Dic47—41no—
687Dic47—41no—
688Dic47—41no—
689Dic47—41no—
690Dic47—41no—
691Dic47—41no—
692Dic47—41no—
693Dic47—41no—
694Dic47#53814yes—
695#2863—471no—
696#2862—471no—
697#2857—471no—
698#2855—471no—
699#2666—471no—
700#2666—471no—
701#2665—471no—
702#2665—471no—
703#2586—471no—
704#2586—471no—
705#2574—471no—
706#2574—471no—
707#2511—471no—
708#2505—471no—
709#2505—471no—
710#2492—471no—
711#2450—471no—
712#2450—471no—
713#2446—471no—
714#2440—471no—
715#2434—471no—
716#2429—471no—
717#2417—471no—
718#2409—471no—
719#2329—471no—
720#2329—471no—
721#2318—471no—
722#2318D4711yescharacteristic
723C4×C22⋊Q8—471no—
724C2×#391—471no—
725C42×D4—471no—
726C2×C47—24no—
727C2×C47—42no—
728C2×C47C2×#53311yescharacteristic
729C2×C47C2×#53811yescharacteristic
730C2×C47#346111yescharacteristic
731C2×C47#350111yescharacteristic
732C2×C47#350311yescharacteristic
733C2×C47#351411yescharacteristic
734C2×C47#352011yescharacteristic
735C23×Q8—471no—
736C2×C4⋊Q8—471no—
737C2×C4⋊Q8—471no—
738C2×C4⋊Q8—471no—
739C2×C22⋊Q8—471no—
740C2×C22⋊Q8—471no—
741C2×C22⋊Q8—471no—
742C2×C22⋊Q8—471no—
743C2×C22⋊Q8—471no—
744C2×C22⋊Q8—471no—
745C2×C4×Q8—471no—
746C2×C4×D4—471no—
747C2×C4×D4—471no—
748C2×C4×D4C2×D4711yescharacteristic
749C22×C4⋊C4—471no—
750C22×C42—471no—
751C22×C42—471no—
752#400—471no—
753#400—471no—
754#400—471no—
755#400—471no—
756#400—471no—
757#400—471no—
758#400—471no—
759#400—471no—
760#398—471no—
761#398—471no—
762#398—471no—
763#398—471no—
764#398—471no—
765#398—471no—
766#398—471no—
767#398—471no—
768#396—471no—
769#396—471no—
770#396—471no—
771#396—471no—
772#395—471no—
773#395—471no—
774#395—471no—
775#395—471no—
776#395—471no—
777#395—471no—
778#395—471no—
779#395—471no—
780#393—471no—
781#393—471no—
782#393—471no—
783#393—471no—
784#391—471no—
785#391—471no—
786#391—471no—
787#391—471no—
788#391—471no—
789#391—471no—
790#391—471no—
791#391—471no—
792#391—471no—
793#391—471no—
794#391—471no—
795#391—471no—
796#391—471no—
797#391—471no—
798#391—471no—
799#391—471no—
800#391—471no—
801#391—471no—
802#391—471no—
803#391—471no—
804#389—471no—
805#389—471no—
806#389—471no—
807#389—471no—
808#389—471no—
809#389—471no—
810#389—471no—
811#389—471no—
812#389—471no—
813#389—471no—
814#388—471no—
815#388—471no—
816#388C2×D4711yescharacteristic
817#388C2×D4711yescharacteristic
818#387—471no—
819#387—471no—
820#387—471no—
821#387—471no—
822#387—471no—
823#387—471no—
824#387—471no—
825#387—471no—
826#387—471no—
827#387—471no—
828#387—471no—
829#387—471no—
830#387—471no—
831#387—471no—
832#387—471no—
833#387—471no—
834#387—471no—
835#387—471no—
836#387C2×D4711yescharacteristic
837#387C2×D4711yescharacteristic
838#386—471no—
839#386—471no—
840#386C2×D4711yescharacteristic
841#386C2×D4711yescharacteristic
842#385—471no—
843#385—471no—
844#385—471no—
845#385—471no—
846#385—471no—
847#385—471no—
848#385—471no—
849#385—471no—
850#385—471no—
851#385—471no—
852#385C2×D4711yescharacteristic
853#385C2×D4711yescharacteristic
854#384—471no—
855#383—471no—
856#383C2×D4711yescharacteristic
857#382—471no—
858#382—471no—
859#382—471no—
860#382C2×D4711yescharacteristic
861#381—471no—
862#381C2×D4711yescharacteristic
863#380—471no—
864#380—471no—
865#380—471no—
866#380—471no—
867#380—471no—
868#380—471no—
869#380—471no—
870#380C2×D4711yescharacteristic
871C4×C4⋊C4—471no—
872C4×C4⋊C4—471no—
873C4×C4⋊C4—471no—
874C4×C4⋊C4—471no—
875C4×C4⋊C4—471no—
876C4×C4⋊C4—471no—
877C4×C22⋊C4—471no—
878C4×C22⋊C4—471no—
879C4×C22⋊C4—471no—
880C4×C22⋊C4—471no—
881C4×C22⋊C4—471no—
882C4×C22⋊C4—471no—
883C4×C22⋊C4—471no—
884C4×C22⋊C4C2×D4711yescharacteristic
885C2×#95—471no—
886C2×#95—471no—
887C2×#95—471no—
888C2×#95C2×D4711yescharacteristic
889C43—471no—
890C47#3501611yescharacteristic, complemented, Sylow
891C22×Q8—471no—
892C22×Q8—471no—
893C22×Q8—471no—
894C22×Q8—471no—
895C22×Q8—471no—
896C22×Q8—471no—
897C22×Q8—471no—
898C22×Q8—944no—
899C22×Q8—1882no—
900C22×Q8—1882no—
901C22×D4C22×D4711yescharacteristic
902C23×C4—471no—
903C23×C4—471no—
904C23×C4—471no—
905C23×C4—471no—
906C23×C4—471no—
907C23×C4—471no—
908C23×C4C22×D4711yescharacteristic
909C23×C4C22×D4711yescharacteristic
910C23×C4C22×D4711yescharacteristic
911C23×C4C22×D4711yescharacteristic
912C4⋊Q8—1882no—
913C4⋊Q8—1882no—
914C4⋊Q8—1882no—
915C22⋊Q8—944no—
916C22⋊Q8—944no—
917C22⋊Q8—944no—
918C22⋊Q8—1882no—
919C22⋊Q8—1882no—
920C22⋊Q8—1882no—
921C4×Q8—1882no—
922C4×D4—944no—
923C4×D4—944no—
924C4×D4Dic9418yescomplemented
925C2×C4⋊C4—471no—
926C2×C4⋊C4—471no—
927C2×C4⋊C4—471no—
928C2×C4⋊C4—471no—
929C2×C4⋊C4—471no—
930C2×C4⋊C4—471no—
931C2×C4⋊C4—471no—
932C2×C4⋊C4—471no—
933C2×C4⋊C4—471no—
934C2×C4⋊C4—471no—
935C2×C4⋊C4—471no—
936C2×C4⋊C4—471no—
937C2×C4⋊C4—471no—
938C2×C4⋊C4—471no—
939C2×C4⋊C4—471no—
940C2×C4⋊C4—471no—
941C2×C4⋊C4—471no—
942C2×C4⋊C4—471no—
943C2×C4⋊C4—471no—
944C2×C4⋊C4—471no—
945C2×C4⋊C4—471no—
946C2×C4⋊C4—471no—
947C2×C4⋊C4—471no—
948C2×C4⋊C4—471no—
949C2×C4⋊C4—471no—
950C2×C4⋊C4—471no—
951C2×C4⋊C4—471no—
952C2×C4⋊C4—471no—
953C2×C4⋊C4—471no—
954C2×C4⋊C4—471no—
955C2×C4⋊C4—471no—
956C2×C4⋊C4—471no—
957C2×C4⋊C4—471no—
958C2×C4⋊C4—471no—
959C2×C4⋊C4—471no—
960C2×C4⋊C4—471no—
961C2×C4⋊C4—471no—
962C2×C4⋊C4—1882no—
963C2×C4⋊C4C22×D4711yescharacteristic
964C2×C4⋊C4C22×D4711yescharacteristic
965C2×C4⋊C4C22×D4711yescharacteristic
966C2×C4⋊C4C22×D4711yescharacteristic
967C2×C4⋊C4C22×D4711yescharacteristic
968C2×C22⋊C4—471no—
969C2×C22⋊C4—471no—
970C2×C22⋊C4—471no—
971C2×C22⋊C4—471no—
972C2×C22⋊C4—471no—
973C2×C22⋊C4—471no—
974C2×C22⋊C4—471no—
975C2×C22⋊C4—471no—
976C2×C22⋊C4—471no—
977C2×C22⋊C4—471no—
978C2×C22⋊C4C22×D4711yescharacteristic
979C2×C22⋊C4C22×D4711yescharacteristic
980C2×C22⋊C4C22×D4711yescharacteristic
981C2×C22⋊C4C22×D4711yescharacteristic
982C2×C22⋊C4C22×D4711yescharacteristic
983C2×C22⋊C4C22×D4711yescharacteristic
984C2×C22⋊C4C22×D4711yescharacteristic
985C2×C22⋊C4C22×D4711yescharacteristic
986C2×C42—471no—
987C2×C42—471no—
988C2×C42—471no—
989C2×C42—471no—
990C2×C42—471no—
991C2×C42—471no—
992C2×C42—471no—
993C2×C42—471no—
994C2×C42—471no—
995C2×C42—471no—
996C2×C42—471no—
997C2×C42—471no—
998C2×C42—471no—
999C2×C42—471no—
1000C2×C42—1882no—
1001C2×C42—1882no—
1002C2×C42C22×D4711yescharacteristic
1003C2×C42C22×D4711yescharacteristic
1004C2×C42C22×D4711yescharacteristic
1005#95—471no—
1006#95—471no—
1007#95—471no—
1008#95—471no—
1009#95—471no—
1010#95—471no—
1011#95—471no—
1012#95—471no—
1013#95—471no—
1014#95—471no—
1015#95—471no—
1016#95—471no—
1017#95—471no—
1018#95—471no—
1019#95—471no—
1020#95—471no—
1021#95—471no—
1022#95—471no—
1023#95—471no—
1024#95—471no—
1025#95—471no—
1026#95—471no—
1027#95—471no—
1028#95—471no—
1029#95—471no—
1030#95—471no—
1031#95—471no—
1032#95—471no—
1033#95—471no—
1034#95—471no—
1035#95—471no—
1036#95—471no—
1037#95—471no—
1038#95—471no—
1039#95—471no—
1040#95—471no—
1041#95—471no—
1042#95—471no—
1043#95—471no—
1044#95—471no—
1045#95—471no—
1046#95—471no—
1047#95—471no—
1048#95—471no—
1049#95—471no—
1050#95—471no—
1051#95C22×D4711yescharacteristic
1052#95C22×D4711yescharacteristic
1053#95C22×D4711yescharacteristic
1054#95C22×D4711yescharacteristic
1055#95C22×D4711yescharacteristic
1056#95C22×D4711yescharacteristic
1057#95C22×D4711yescharacteristic
1058#95C22×D4711yescharacteristic
1059#95C22×D4711yescharacteristic
1060#95C22×D4711yescharacteristic
1061#95C22×D4711yescharacteristic
1062#95C22×D4711yescharacteristic
1063#95C22×D4711yescharacteristic
1064#95C22×D4711yescharacteristic
1065C24C23×D4711yescharacteristic
1066C24C23×D4711yescharacteristic
1067C2×Q8—942no—
1068C2×Q8—942no—
1069C2×Q8—942no—
1070C2×Q8—942no—
1071C2×Q8—942no—
1072C2×Q8—942no—
1073C2×Q8—942no—
1074C2×Q8—942no—
1075C2×Q8—942no—
1076C2×Q8—942no—
1077C2×Q8—942no—
1078C2×Q8—942no—
1079C2×Q8—942no—
1080C2×Q8—1881no—
1081C2×Q8—1881no—
1082C2×Q8—1881no—
1083C2×Q8—1881no—
1084C2×Q8—1881no—
1085C2×Q8—1881no—
1086C2×Q8—1881no—
1087C2×Q8—1881no—
1088C2×Q8—18816no—
1089C2×D4—22no—
1090C2×D4—22no—
1091C2×D4C2×Dic9414yes—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—471no—
1103C22×C4—474no—
1104C22×C4—471no—
1105C22×C4—471no—
1106C22×C4—471no—
1107C22×C4—471no—
1108C22×C4—471no—
1109C22×C4—471no—
1110C22×C4—471no—
1111C22×C4—471no—
1112C22×C4—471no—
1113C22×C4—471no—
1114C22×C4—471no—
1115C22×C4—471no—
1116C22×C4—471no—
1117C22×C4—471no—
1118C22×C4—471no—
1119C22×C4—942no—
1120C22×C4—942no—
1121C22×C4—942no—
1122C22×C4—942no—
1123C22×C4—942no—
1124C22×C4—942no—
1125C22×C4—942no—
1126C22×C4—942no—
1127C22×C4—942no—
1128C22×C4—942no—
1129C22×C4—942no—
1130C22×C4—1881no—
1131C22×C4—1881no—
1132C22×C4—1881no—
1133C22×C4—1881no—
1134C22×C4—1881no—
1135C22×C4—1881no—
1136C22×C4C2×Dic9414yes—
1137C22×C4C2×Dic9414yescomplemented
1138C22×C4C23×D4711yescharacteristic
1139C22×C4C23×D4711yescharacteristic
1140C22×C4C23×D4711yescharacteristic
1141C22×C4C23×D4711yescharacteristic
1142C22×C4C23×D4711yescharacteristic
1143C22×C4C23×D4711yescharacteristic
1144C22×C4C23×D4711yescharacteristic
1145C22×C4C23×D4711yescharacteristic
1146C22×C4C23×D4711yescharacteristic
1147C22×C4C23×D4711yescharacteristic
1148C22×C4C23×D4711yescharacteristic
1149C22×C4C23×D4711yescharacteristic
1150C22×C4C23×D4711yescharacteristic
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—942no—
1156C4⋊C4—942no—
1157C4⋊C4—942no—
1158C4⋊C4—942no—
1159C4⋊C4—942no—
1160C4⋊C4—942no—
1161C4⋊C4—942no—
1162C4⋊C4—942no—
1163C4⋊C4—942no—
1164C4⋊C4—942no—
1165C4⋊C4—942no—
1166C4⋊C4—942no—
1167C4⋊C4—942no—
1168C4⋊C4—942no—
1169C4⋊C4—942no—
1170C4⋊C4—942no—
1171C4⋊C4—942no—
1172C4⋊C4—1881no—
1173C4⋊C4—1881no—
1174C4⋊C4—1881no—
1175C4⋊C4—1881no—
1176C4⋊C4—1881no—
1177C4⋊C4—1881no—
1178C4⋊C4—1881no—
1179C4⋊C4—1881no—
1180C4⋊C4—1881no—
1181C4⋊C4—1881no—
1182C4⋊C4—1881no—
1183C4⋊C4—1881no—
1184C4⋊C4—1881no—
1185C4⋊C4—1881no—
1186C4⋊C4—1881no—
1187C4⋊C4—1881no—
1188C4⋊C4—1881no—
1189C4⋊C4—1881no—
1190C4⋊C4—1881no—
1191C4⋊C4—1881no—
1192C4⋊C4C2×Dic9414yescomplemented
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—474no—
1200C22⋊C4—942no—
1201C22⋊C4—942no—
1202C22⋊C4—942no—
1203C22⋊C4—942no—
1204C22⋊C4—942no—
1205C22⋊C4—1881no—
1206C22⋊C4—1881no—
1207C22⋊C4—1881no—
1208C22⋊C4—1881no—
1209C22⋊C4C2×Dic9414yes—
1210C22⋊C4C2×Dic9414yescomplemented
1211C42—41no—
1212C42—41no—
1213C42—942no—
1214C42—942no—
1215C42—942no—
1216C42—942no—
1217C42—942no—
1218C42—942no—
1219C42—942no—
1220C42—1881no—
1221C42—1881no—
1222C42—1881no—
1223C42—1881no—
1224C42—1881no—
1225C42—1881no—
1226C42—1881no—
1227C42C2×Dic9414yescomplemented
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23C22×Dic9412yes—
1239C23C22×Dic9412yes—
1240C23#41×D4712yes—
1241C23#41×D4712yes—
1242C23C24×D4711yescharacteristic
1243Q8—3762no—
1244Q8—3762no—
1245Q8—1884no—
1246Q8—1884no—
1247Q8—1884no—
1248Q8—1884no—
1249Q8—1884no—
1250D4—28no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—44no—
1286C2×C4—44no—
1287C2×C4—44no—
1288C2×C4—82no—
1289C2×C4—472no—
1290C2×C4—472no—
1291C2×C4—472no—
1292C2×C4—472no—
1293C2×C4—472no—
1294C2×C4—472no—
1295C2×C4—472no—
1296C2×C4—948no—
1297C2×C4—941no—
1298C2×C4—941no—
1299C2×C4—941no—
1300C2×C4—941no—
1301C2×C4—941no—
1302C2×C4—941no—
1303C2×C4—941no—
1304C2×C4—941no—
1305C2×C4—941no—
1306C2×C4—941no—
1307C2×C4—941no—
1308C2×C4—941no—
1309C2×C4—941no—
1310C2×C4—941no—
1311C2×C4—941no—
1312C2×C4—941no—
1313C2×C4—941no—
1314C2×C4—941no—
1315C2×C4—941no—
1316C2×C4—941no—
1317C2×C4—941no—
1318C2×C4—941no—
1319C2×C4—941no—
1320C2×C4—941no—
1321C2×C4—941no—
1322C2×C4—941no—
1323C2×C4—941no—
1324C2×C4—941no—
1325C2×C4—941no—
1326C2×C4—941no—
1327C2×C4—941no—
1328C2×C4—941no—
1329C2×C4—941no—
1330C2×C4—941no—
1331C2×C4—941no—
1332C2×C4—941no—
1333C2×C4—941no—
1334C2×C4—941no—
1335C2×C4—941no—
1336C2×C4—941no—
1337C2×C4—941no—
1338C2×C4—3762no—
1339C2×C4—1884no—
1340C2×C4—1884no—
1341C2×C4—1884no—
1342C2×C4—1884no—
1343C2×C4C22×Dic9412yes—
1344C2×C4C22×Dic9412yes—
1345C2×C4C22×Dic9412yes—
1346C2×C4C22×Dic9412yes—
1347C2×C4C22×Dic9412yes—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—22no—
1353C22—22no—
1354C22—22no—
1355C22—22no—
1356C22—22no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22#1568967614yes—
1362C22C23×Dic9411yescharacteristic
1363C22C2×#41×D4711yescharacteristic
1364C22C2×#41×D4711yescharacteristic
1365C22H(5,𝔽2)×D4711yescharacteristic
1366C22H(5,𝔽2)×D4711yescharacteristic
1367C222−1+4×D4711yescharacteristic
1368C22#1568995811yescharacteristic
1369C4—22no—
1370C4—22no—
1371C4—22no—
1372C4—22no—
1373C4—22no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—474no—
1383C4—942no—
1384C4—942no—
1385C4—942no—
1386C4—942no—
1387C4—1881no—
1388C4—1881no—
1389C4—1881no—
1390C4—1881no—
1391C4—1881no—
1392C4—1881no—
1393C4—1881no—
1394C4—1881no—
1395C4—1881no—
1396C4—1881no—
1397C4—1881no—
1398C2—24no—
1399C2—42no—
1400C2C2×#1568967611yescharacteristic
1401C2#538×D4711yescharacteristic
1402C2#2025681811yescharacteristic
1403C2#2025718611yescharacteristic
1404C2#2025720111yescharacteristic
1405C2#2025734111yescharacteristic
1406C2#2025742911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2318C2
prime radicalC22×D4×C47C23
hypercenter#2318D47
hypocenterC47#35016
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
1. #20251768C2semidirect
2. #20251764C2semidirect
3. #20251738C2semidirect
4. #20251725C2semidirect
5. #20249571C2semidirect
6. #20249569C2semidirect
7. #20249561C2semidirect
8. #20249560C2semidirect
9. #20248798C2semidirect
10. #20248796C2semidirect
11. #20248669C2semidirect
12. #20248661C2semidirect
13. #20247962C2semidirect
14. #20247895C2semidirect
15. #20247893C2semidirect
16. #20247759C2semidirect
19. #20247163C2semidirect
20. #20247089C2semidirect
21. #20247030C2semidirect
22. #20246984C2semidirect
25. #20246121C2semidirect
26. #20246116C2semidirect
28. C4×#13094001C2semidirect
29. C2×#15689027C2semidirect
330. C4×D4×C47Q8semidirect
377. C22×C4×C47C2×Q8semidirect
451. C4⋊C4×C47C2×Q8semidirect
459. C22⋊C4×C47C2×Q8semidirect
462. C42×C47C2×Q8semidirect
890. C47#35016semidirect
924. C4×D4Dic94semidirect
1137. C22×C4C2×Dic94semidirect
1192. C4⋊C4C2×Dic94semidirect
1210. C22⋊C4C2×Dic94semidirect
1227. C42C2×Dic94semidirect

Maximal subgroups

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

subgroupindex
#202517682
#202517642
#202517382
#202517252
#202495712
#202495692
#202495612
#202495602
#202487982
#202487962
#202486692
#202486612
#202479622
#202478952
#202478932
#202477592
#202472182
#202472162
#202471632
#202470892
#202470302
#202469842
#202468362
#202467502
#202461212
#202461162
#202460212
C4×#130940012
C2×#156890272
C4×D4×Dic472
C47×#23182
#3501647