Finite Group Databasebeta

← #26382122

Subgroups — #26382122

Order 12032.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20246554C211yesmaximal, characteristic, complemented
2#20246545C211yesmaximal, characteristic, complemented
3#20246536C211yesmaximal, characteristic, complemented
4#20246488C211yesmaximal, characteristic, complemented
5#20246473C211yesmaximal, characteristic, complemented
6#20246463C211yesmaximal, characteristic, complemented
7#20246463C211yesmaximal, characteristic, complemented
8#20246440C211yesmaximal, characteristic, complemented
9#20246440C211yesmaximal, characteristic, complemented
10#20246430C211yesmaximal, characteristic, complemented
11#20246419C211yesmaximal, characteristic, complemented
12#20246419C211yesmaximal, characteristic, complemented
13#20246384C211yesmaximal, characteristic, complemented
14#20246384C211yesmaximal, characteristic, complemented
15#20246384C211yesmaximal, characteristic, complemented
16#20246203C211yesmaximal, characteristic, complemented
17#20246203C211yesmaximal, characteristic, complemented
18#20246194C211yesmaximal, characteristic, complemented
19#20246182C211yesmaximal, characteristic, complemented
20#20246182C211yesmaximal, characteristic, complemented
21#20246182C211yesmaximal, characteristic, complemented
22#20246123C211yesmaximal, characteristic, complemented
23#20246123C211yesmaximal, characteristic, complemented
24#20246093C211yesmaximal, characteristic, complemented
25#20246083C211yesmaximal, characteristic, complemented
26#20246083C211yesmaximal, characteristic, complemented
27#20246072C211yesmaximal, characteristic, complemented
28C22⋊Q8×Dic47C211yesmaximal, characteristic, complemented
29#123×Dic47C211yesmaximal, characteristic, complemented
30#121×Dic47C211yesmaximal, characteristic, complemented
31C2×C47×#562C211yesmaximal, characteristic
32C2×Q8×Dic47C2211yescharacteristic
33C2×Q8×Dic47C2211yescharacteristic
34C2×D4×Dic47C2211yescharacteristic
35C2×D4×Dic47C2211yescharacteristic
36C2×D4×Dic47C2211yescharacteristic
37C2×D4×Dic47C2211yescharacteristic
38C2×D4×Dic47C2211yescharacteristic
39C2×D4×Dic47C2211yescharacteristic
40C2×#13093983C2211yescharacteristic
41C2×#13093983C2211yescharacteristic
42C2×#13093983C2211yescharacteristic
43C22×C4×Dic47C2211yescharacteristic
44#15689030C2211yescharacteristic
45#15689030C2211yescharacteristic
46#15689030C2211yescharacteristic
47#15689030C2211yescharacteristic
48#15689030C2211yescharacteristic
49#15689030C2211yescharacteristic
50#15689026C2211yescharacteristic
51#15689026C2211yescharacteristic
52#15689026C2211yescharacteristic
53#15689026C2211yescharacteristic
54#15689026C2211yescharacteristic
55#15689026C2211yescharacteristic
56#15689022C2211yescharacteristic
57#15689022C2211yescharacteristic
58#15689022C2211yescharacteristic
59#15689022C2211yescharacteristic
60#15689022C2211yescharacteristic
61#15689022C2211yescharacteristic
62#15689022C2211yescharacteristic
63#15689022C2211yescharacteristic
64#15689022C2211yescharacteristic
65#15689022C2211yescharacteristic
66#15689016C2211yescharacteristic
67#15689016C2211yescharacteristic
68#15689016C2211yescharacteristic
69#15689016C2211yescharacteristic
70#15689016C2211yescharacteristic
71#15689016C2211yescharacteristic
72#15689016C2211yescharacteristic
73#15689016C2211yescharacteristic
74#15689016C2211yescharacteristic
75#15689016C2211yescharacteristic
76#15689016C2211yescharacteristic
77#15689016C2211yescharacteristic
78#15689016C2211yescharacteristic
79#15689016C2211yescharacteristic
80#15689016C2211yescharacteristic
81#15689016C2211yescharacteristic
82#15689016C2211yescharacteristic
83#15689016C2211yescharacteristic
84#15689016C2211yescharacteristic
85#15689016C2211yescharacteristic
86#15689016C2211yescharacteristic
87#15689016C2211yescharacteristic
88#15689016C2211yescharacteristic
89#15689016C2211yescharacteristic
90#15689009C2211yescharacteristic
91#15689009C2211yescharacteristic
92#15689009C2211yescharacteristic
93#15689009C2211yescharacteristic
94#15689009C2211yescharacteristic
95#15689009C2211yescharacteristic
96#15689009C2211yescharacteristic
97#15689009C2211yescharacteristic
98#15689009C2211yescharacteristic
99#15689009C2211yescharacteristic
100#15689009C2211yescharacteristic
101#15689009C2211yescharacteristic
102#15689009C2211yescharacteristic
103#15689009C2211yescharacteristic
104#15689009C2211yescharacteristic
105#15689009C2211yescharacteristic
106#15689009C2211yescharacteristic
107#15689009C2211yescharacteristic
108#15689009C2211yescharacteristic
109#15689009C2211yescharacteristic
110#15689003C2211yescharacteristic
111#15689003C2211yescharacteristic
112#15689003C2211yescharacteristic
113#15689003C2211yescharacteristic
114#15689003C2211yescharacteristic
115#15689003C2211yescharacteristic
116#15689003C2211yescharacteristic
117#15689003C2211yescharacteristic
118#15689003C2211yescharacteristic
119#15689003C2211yescharacteristic
120#15689003C2211yescharacteristic
121#15689003C2211yescharacteristic
122#15688998C2211yescharacteristic
123#15688998C2211yescharacteristic
124#15688998C2211yescharacteristic
125#15688998C2211yescharacteristic
126#15688998C2211yescharacteristic
127#15688998C2211yescharacteristic
128#15688998C2211yescharacteristic
129#15688998C2211yescharacteristic
130#15688998C2211yescharacteristic
131#15688998C2211yescharacteristic
132#15688998C2211yescharacteristic
133#15688998C2211yescharacteristic
134#15688991C2211yescharacteristic
135#15688986C2211yescharacteristic
136#15688983C2211yescharacteristic
137#15688983C2211yescharacteristic
138#15688983C2211yescharacteristic
139#15688983C2211yescharacteristic
140#15688983C2211yescharacteristic
141C4⋊C4×Dic47C2211yescharacteristic
142C4⋊C4×Dic47C2211yescharacteristic
143C4⋊C4×Dic47C2211yescharacteristic
144C4⋊C4×Dic47C2211yescharacteristic
145C4⋊C4×Dic47C2211yescharacteristic
146C4⋊C4×Dic47C2211yescharacteristic
147C4⋊C4×Dic47C2211yescharacteristic
148C4⋊C4×Dic47C2211yescharacteristic
149C4⋊C4×Dic47C2211yescharacteristic
150C4⋊C4×Dic47C2211yescharacteristic
151C4×C4⋊Dic47C2211yescharacteristic
152C4×C4⋊Dic47C2211yescharacteristic
153C4×C4⋊Dic47C2211yescharacteristic
154C22⋊C4×Dic47C2211yescharacteristic
155C22⋊C4×Dic47C2211yescharacteristic
156C22⋊C4×Dic47C2211yescharacteristic
157C22⋊C4×Dic47C2211yescharacteristic
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic
160C22⋊C4×Dic47C2211yescharacteristic
161C22⋊C4×Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C22⋊C4×Dic47C2211yescharacteristic
165C22⋊C4×Dic47C2211yescharacteristic
166C4×C22⋊Dic47C2211yescharacteristic
167C4×C22⋊Dic47C2211yescharacteristic
168C4×C22⋊Dic47C2211yescharacteristic
169C2×C47⋊#95C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C47×#562C4116yescomplemented
173C2×#125×C47C2211yescharacteristic
174C2×#124×C47C2211yescharacteristic
175C2×#124×C47C2211yescharacteristic
176C2×#123×C47C2211yescharacteristic
177C2×#123×C47C2211yescharacteristic
178C2×#123×C47C2211yescharacteristic
179C2×#123×C47C2211yescharacteristic
180C2×C22⋊Q8×C47C2211yescharacteristic
181C2×C22⋊Q8×C47C2211yescharacteristic
182C2×C22⋊Q8×C47C2211yescharacteristic
183C2×C22⋊Q8×C47C2211yescharacteristic
184C2×#121×C47C2211yescharacteristic
185C2×#121×C47C2211yescharacteristic
186C2×#121×C47C2211yescharacteristic
187C2×#121×C47C2211yescharacteristic
188C23×Dic47C2311yescharacteristic
189C23×Dic47C2311yescharacteristic
190C23×Dic47C2311yescharacteristic
191C23×Dic47C2311yescharacteristic
192C23×Dic47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196Q8×Dic47—42no—
197Q8×Dic47—42no—
198D4×Dic47—42no—
199D4×Dic47—42no—
200D4×Dic47—42no—
201D4×Dic47—42no—
202D4×Dic47—42no—
203D4×Dic47—42no—
204#13093983—42no—
205#13093983—42no—
206#13093983—42no—
207C2×C4⋊Dic47C2311yescharacteristic
208C2×C4⋊Dic47C2311yescharacteristic
209C2×C4⋊Dic47C2311yescharacteristic
210C2×C4⋊Dic47C2311yescharacteristic
211C2×C4⋊Dic47C2311yescharacteristic
212C2×C4⋊Dic47C2311yescharacteristic
213C2×C4⋊Dic47C2311yescharacteristic
214C2×C4⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
230C2×C22⋊Dic47C2311yescharacteristic
231C2×C22⋊Dic47C2311yescharacteristic
232C2×C22⋊Dic47C2311yescharacteristic
233C2×C22⋊Dic47C2311yescharacteristic
234C2×C22⋊Dic47C2311yescharacteristic
235C2×C22⋊Dic47C2311yescharacteristic
236C2×C22⋊Dic47C2311yescharacteristic
237C2×C22⋊Dic47C2311yescharacteristic
238C2×C22⋊Dic47C2311yescharacteristic
239C2×C22⋊Dic47C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C4×Dic47—42no—
254C2×C4×Dic47C2311yescharacteristic
255C2×C4×Dic47C2311yescharacteristic
256C2×C4×Dic47C2311yescharacteristic
257C2×C4×Dic47C2311yescharacteristic
258C2×C4×Dic47C2311yescharacteristic
259C2×C4×Dic47C2311yescharacteristic
260C2×C4×Dic47C2311yescharacteristic
261C2×C4×Dic47C2311yescharacteristic
262C2×C4×Dic47C2311yescharacteristic
263C2×C4×Dic47C2311yescharacteristic
264C2×C4×Dic47C2311yescharacteristic
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
276C47⋊#95C2311yescharacteristic
277C47⋊#95C2311yescharacteristic
278C47⋊#95C2311yescharacteristic
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
320C22×Q8×C47C2311yescharacteristic
321C22×Q8×C47C2311yescharacteristic
322C22×D4×C47C2311yescharacteristic
323C22×D4×C47C2311yescharacteristic
324C22×D4×C47C2311yescharacteristic
325C22×D4×C47C2311yescharacteristic
326C22×D4×C47C2311yescharacteristic
327C22×D4×C47C2311yescharacteristic
328C23×C4×C47C2311yescharacteristic
329C23×C4×C47C2311yescharacteristic
330C23×C4×C47C2311yescharacteristic
331C23×C4×C47C2311yescharacteristic
332#125×C47C2×C418yescomplemented
333#124×C47C2×C418yescomplemented
334#124×C47C2×C418yescomplemented
335#123×C47C2×C418yescomplemented
336#123×C47C2×C418yescomplemented
337#123×C47C2×C418yescomplemented
338#123×C47C2×C418yescomplemented
339C22⋊Q8×C47C2×C418yescomplemented
340C22⋊Q8×C47C2×C418yescomplemented
341C22⋊Q8×C47C2×C418yescomplemented
342C22⋊Q8×C47C2×C418yescomplemented
343#121×C47C2×C418yescomplemented
344#121×C47C2×C418yescomplemented
345#121×C47C2×C418yescomplemented
346#121×C47C2×C418yescomplemented
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C4⋊C4×C47C2311yescharacteristic
351C2×C4⋊C4×C47C2311yescharacteristic
352C2×C4⋊C4×C47C2311yescharacteristic
353C2×C4⋊C4×C47C2311yescharacteristic
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C42×C47C2311yescharacteristic
370C24×C47C2411yescharacteristic
371C24×C47C2411yescharacteristic
372C24×C47C2411yescharacteristic
373C24×C47C2411yescharacteristic
374C2×Q8×C47—41no—
375C2×Q8×C47—41no—
376C2×Q8×C47—41no—
377C2×Q8×C47—41no—
378C2×Q8×C47C22×C414yes—
379C2×Q8×C47C22×C414yes—
380C2×D4×C47—41no—
381C2×D4×C47—41no—
382C2×D4×C47—41no—
383C2×D4×C47—41no—
384C2×D4×C47—41no—
385C2×D4×C47—41no—
386C2×D4×C47—41no—
387C2×D4×C47—41no—
388C2×D4×C47—41no—
389C2×D4×C47—41no—
390C2×D4×C47—41no—
391C2×D4×C47—41no—
392C2×D4×C47C22×C414yes—
393C2×D4×C47C22×C414yes—
394C2×D4×C47C22×C414yes—
395C2×D4×C47C22×C414yes—
396C2×D4×C47C22×C414yes—
397C2×D4×C47C22×C414yes—
398C22×C4×C47—41no—
399C22×C4×C47—41no—
400C22×C4×C47—41no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47C22×C414yes—
407C22×C4×C47C22×C414yes—
408C22×C4×C47C22×C414yes—
409C22×C4×C47C22×C414yes—
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×Dic47—22no—
422C22×Dic47—22no—
423C22×Dic47—22no—
424C22×Dic47—22no—
425C22×Dic47—22no—
426C22×Dic47—22no—
427C22×Dic47—41no—
428C22×Dic47—41no—
429C22×Dic47—41no—
430C22×Dic47—41no—
431C22×Dic47—41no—
432C22×Dic47—41no—
433C22×Dic47—41no—
434C22×Dic47—41no—
435C22×Dic47—41no—
436C22×Dic47—41no—
437C22×Dic47—41no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47—41no—
441C22×Dic47—41no—
442C22×Dic47—41no—
443C22×Dic47—41no—
444C22×Dic47—41no—
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C4⋊C4×C47C22×C414yes—
462C4⋊C4×C47C22×C414yes—
463C4⋊C4×C47C22×C414yes—
464C4⋊C4×C47C22×C414yes—
465C4⋊C4×C47C22×C414yes—
466C4⋊C4×C47C22×C414yes—
467C4⋊C4×C47C22×C414yes—
468C4⋊C4×C47C22×C414yes—
469C4⋊C4×C47C22×C414yes—
470C4⋊C4×C47C22×C414yes—
471C22⋊C4×C47C22×C414yes—
472C22⋊C4×C47C22×C414yes—
473C22⋊C4×C47C22×C414yes—
474C22⋊C4×C47C22×C414yes—
475C22⋊C4×C47C22×C414yes—
476C22⋊C4×C47C22×C414yes—
477C22⋊C4×C47C22×C414yes—
478C22⋊C4×C47C22×C414yes—
479C22⋊C4×C47C22×C414yes—
480C22⋊C4×C47C22×C414yes—
481C22⋊C4×C47C22×C414yes—
482C22⋊C4×C47C22×C414yes—
483C42×C47C22×C414yes—
484C22⋊Dic47—22no—
485C22⋊Dic47—22no—
486C22⋊Dic47—22no—
487C22⋊Dic47—22no—
488C22⋊Dic47—22no—
489C22⋊Dic47—22no—
490C22⋊Dic47—41no—
491C22⋊Dic47—41no—
492C22⋊Dic47—41no—
493C22⋊Dic47—41no—
494C22⋊Dic47—41no—
495C22⋊Dic47—41no—
496C22⋊Dic47—41no—
497C22⋊Dic47—41no—
498C22⋊Dic47—41no—
499C22⋊Dic47—41no—
500C22⋊Dic47—41no—
501C22⋊Dic47—41no—
502C22⋊Dic47—41no—
503C22⋊Dic47—41no—
504C22⋊Dic47—41no—
505C22⋊Dic47—41no—
506C22⋊Dic47—41no—
507C22⋊Dic47—41no—
508C4⋊Dic47—22no—
509C4⋊Dic47—22no—
510C4⋊Dic47—22no—
511C4⋊Dic47—22no—
512C4⋊Dic47—22no—
513C4⋊Dic47—22no—
514C4⋊Dic47—41no—
515C4⋊Dic47—41no—
516C4⋊Dic47—41no—
517C4⋊Dic47—41no—
518C4⋊Dic47—41no—
519C4⋊Dic47—41no—
520C4⋊Dic47—41no—
521C4⋊Dic47—41no—
522C4⋊Dic47—41no—
523C4⋊Dic47—41no—
524C4⋊Dic47—41no—
525C4⋊Dic47—41no—
526C4⋊Dic47—41no—
527C4⋊Dic47—41no—
528C4⋊Dic47—41no—
529C4⋊Dic47—41no—
530C4×Dic47—22no—
531C4×Dic47—22no—
532C4×Dic47—22no—
533C4×Dic47—22no—
534C4×Dic47—22no—
535C4×Dic47—41no—
536C4×Dic47—41no—
537C4×Dic47—41no—
538C4×Dic47—41no—
539C4×Dic47—41no—
540C4×Dic47—41no—
541C4×Dic47—41no—
542C4×Dic47—41no—
543C4×Dic47—41no—
544C4×Dic47—41no—
545C4×Dic47—41no—
546C4×Dic47—41no—
547C4×Dic47—41no—
548C4×Dic47—41no—
549C4×Dic47—41no—
550C4×Dic47—41no—
551C4×Dic47—41no—
552C23×C47—21no—
553C23×C47—21no—
554C23×C47—21no—
555C23×C47—21no—
556C23×C47—21no—
557C23×C47—21no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47—21no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47C23×C412yes—
577C23×C47C23×C412yes—
578C23×C47C23×C412yes—
579C23×C47C23×C412yes—
580C23×C47C2511yescharacteristic
581Q8×C47—44no—
582Q8×C47—44no—
583D4×C47—44no—
584D4×C47—44no—
585D4×C47—44no—
586D4×C47—44no—
587D4×C47—44no—
588D4×C47—44no—
589C2×C4×C47—21no—
590C2×C4×C47—21no—
591C2×C4×C47—21no—
592C2×C4×C47—21no—
593C2×C4×C47—21no—
594C2×C4×C47—21no—
595C2×C4×C47—21no—
596C2×C4×C47—21no—
597C2×C4×C47—21no—
598C2×C4×C47—21no—
599C2×C4×C47—21no—
600C2×C4×C47—21no—
601C2×C4×C47—21no—
602C2×C4×C47—21no—
603C2×C4×C47—21no—
604C2×C4×C47—21no—
605C2×C4×C47—21no—
606C2×C4×C47—21no—
607C2×C4×C47—21no—
608C2×C4×C47—21no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—44no—
612C2×C4×C47—44no—
613C2×C4×C47—44no—
614C2×C4×C47—44no—
615C2×C4×C47C23×C412yes—
616C2×C4×C47C23×C412yes—
617C2×C4×C47C23×C412yes—
618C2×C4×C47C23×C412yes—
619C2×C4×C47C23×C412yes—
620C2×C4×C47C23×C412yes—
621C2×C4×C47C23×C412yes—
622C2×C4×C47C23×C412yes—
623C2×C4×C47C23×C412yes—
624C2×C4×C47C23×C412yes—
625C2×C4×C47C23×C412yes—
626C2×Dic47—21no—
627C2×Dic47—21no—
628C2×Dic47—21no—
629C2×Dic47—21no—
630C2×Dic47—21no—
631C2×Dic47—21no—
632C2×Dic47—21no—
633C2×Dic47—21no—
634C2×Dic47—21no—
635C2×Dic47—21no—
636C2×Dic47—21no—
637C2×Dic47—21no—
638C2×Dic47—21no—
639C2×Dic47—21no—
640C2×Dic47—21no—
641C2×Dic47—21no—
642C2×Dic47—21no—
643C2×Dic47—21no—
644C2×Dic47—21no—
645C2×Dic47—21no—
646C2×Dic47—21no—
647C2×Dic47—21no—
648C2×Dic47—21no—
649C2×Dic47—21no—
650C2×Dic47—21no—
651C2×Dic47—21no—
652C2×Dic47—21no—
653C2×Dic47—21no—
654C2×Dic47—21no—
655C2×Dic47—21no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—44no—
672C2×Dic47—44no—
673C2×Dic47—82no—
674C2×Dic47—82no—
675C2×Dic47—82no—
676C2×Dic47—82no—
677C2×Dic47—82no—
678C2×Dic47—82no—
679C2×Dic47H(5,𝔽2)12yes—
680C2×Dic47H(5,𝔽2)12yes—
681C2×Dic472−1+412yes—
682#34513—471nomaximal, Sylow
683C22×C47—22no—
684C22×C47—22no—
685C22×C47—22no—
686C22×C47—22no—
687C22×C47—22no—
688C22×C47—22no—
689C22×C47—22no—
690C22×C47—22no—
691C22×C47—22no—
692C22×C47—22no—
693C22×C47—22no—
694C22×C47—22no—
695C22×C47—41no—
696C22×C47—41no—
697C22×C47—41no—
698C22×C47—41no—
699C22×C47—41no—
700C22×C47—41no—
701C22×C47—41no—
702C22×C47—41no—
703C22×C47—41no—
704C22×C47—41no—
705C22×C47—41no—
706C22×C47—41no—
707C22×C47—41no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47C24×C411yescharacteristic
712C22×C47C2×H(5,𝔽2)11yescharacteristic
713C22×C47C2×H(5,𝔽2)11yescharacteristic
714C22×C47C2×2−1+411yescharacteristic
715C22×C47#58511yescharacteristic
716C22×C47#58511yescharacteristic
717C22×C47#58511yescharacteristic
718C4×C47—22no—
719C4×C47—22no—
720C4×C47—22no—
721C4×C47—22no—
722C4×C47—22no—
723C4×C47—22no—
724C4×C47—22no—
725C4×C47—22no—
726C4×C47—22no—
727C4×C47—22no—
728C4×C47—22no—
729Dic47—22no—
730Dic47—22no—
731Dic47—22no—
732Dic47—41no—
733Dic47—41no—
734Dic47—41no—
735Dic47—41no—
736Dic47—41no—
737Dic47—41no—
738Dic47—41no—
739Dic47—41no—
740Dic47—41no—
741Dic47—41no—
742Dic47—41no—
743Dic47—41no—
744Dic47—41no—
745C2×#562D4711yescharacteristic
746#2378—471no—
747#2377—471no—
748#2376—471no—
749#2370—471no—
750#2368—471no—
751#2367—471no—
752#2367—471no—
753#2364—471no—
754#2364—471no—
755#2363—471no—
756#2362—471no—
757#2362—471no—
758#2359—471no—
759#2359—471no—
760#2359—471no—
761#2337—471no—
762#2337—471no—
763#2336—471no—
764#2335—471no—
765#2335—471no—
766#2335—471no—
767#2329—471no—
768#2329—471no—
769#2325—471no—
770#2324—471no—
771#2324—471no—
772#2323—471no—
773C4×C22⋊Q8—471no—
774C4×#123—471no—
775C4×#121—471no—
776C2×C47—42no—
777C2×C47—42no—
778C2×C47—42no—
779C2×C47—42no—
780C2×C47C4×H(5,𝔽2)11yescharacteristic
781C2×C47C4×H(5,𝔽2)11yescharacteristic
782C2×C47C4×2−1+411yescharacteristic
783C2×C47#353311yescharacteristic
784C2×C47#353611yescharacteristic
785C2×C47#356211yescharacteristic
786C2×C47#356511yescharacteristic
787#562Dic47116yescomplemented
788C2×#125C2×D4711yescharacteristic
789C2×#124C2×D4711yescharacteristic
790C2×#124C2×D4711yescharacteristic
791C2×#123C2×D4711yescharacteristic
792C2×#123C2×D4711yescharacteristic
793C2×#123C2×D4711yescharacteristic
794C2×#123C2×D4711yescharacteristic
795C2×C22⋊Q8C2×D4711yescharacteristic
796C2×C22⋊Q8C2×D4711yescharacteristic
797C2×C22⋊Q8C2×D4711yescharacteristic
798C2×C22⋊Q8C2×D4711yescharacteristic
799C2×#121C2×D4711yescharacteristic
800C2×#121C2×D4711yescharacteristic
801C2×#121C2×D4711yescharacteristic
802C2×#121C2×D4711yescharacteristic
803C2×C4×Q8—471no—
804C2×C4×Q8—471no—
805C2×C4×D4—471no—
806C2×C4×D4—471no—
807C2×C4×D4—471no—
808C2×C4×D4—471no—
809C2×C4×D4—471no—
810C2×C4×D4—471no—
811C2×#117—471no—
812C2×#117—471no—
813C2×#117—471no—
814C22×C42—471no—
815#391—471no—
816#391—471no—
817#391—471no—
818#391—471no—
819#391—471no—
820#391—471no—
821#390—471no—
822#390—471no—
823#390—471no—
824#390—471no—
825#390—471no—
826#390—471no—
827#389—471no—
828#389—471no—
829#389—471no—
830#389—471no—
831#389—471no—
832#389—471no—
833#389—471no—
834#389—471no—
835#389—471no—
836#389—471no—
837#388—471no—
838#388—471no—
839#388—471no—
840#388—471no—
841#388—471no—
842#388—471no—
843#388—471no—
844#388—471no—
845#388—471no—
846#388—471no—
847#388—471no—
848#388—471no—
849#388—471no—
850#388—471no—
851#388—471no—
852#388—471no—
853#388—471no—
854#388—471no—
855#388—471no—
856#388—471no—
857#388—471no—
858#388—471no—
859#388—471no—
860#388—471no—
861#387—471no—
862#387—471no—
863#387—471no—
864#387—471no—
865#387—471no—
866#387—471no—
867#387—471no—
868#387—471no—
869#387—471no—
870#387—471no—
871#387—471no—
872#387—471no—
873#387—471no—
874#387—471no—
875#387—471no—
876#387—471no—
877#387—471no—
878#387—471no—
879#387—471no—
880#387—471no—
881#386—471no—
882#386—471no—
883#386—471no—
884#386—471no—
885#386—471no—
886#386—471no—
887#386—471no—
888#386—471no—
889#386—471no—
890#386—471no—
891#386—471no—
892#386—471no—
893#385—471no—
894#385—471no—
895#385—471no—
896#385—471no—
897#385—471no—
898#385—471no—
899#385—471no—
900#385—471no—
901#385—471no—
902#385—471no—
903#385—471no—
904#385—471no—
905#383—471no—
906#381—471no—
907#380—471no—
908#380—471no—
909#380—471no—
910#380—471no—
911#380—471no—
912C4×C4⋊C4—471no—
913C4×C4⋊C4—471no—
914C4×C4⋊C4—471no—
915C4×C4⋊C4—471no—
916C4×C4⋊C4—471no—
917C4×C4⋊C4—471no—
918C4×C4⋊C4—471no—
919C4×C4⋊C4—471no—
920C4×C4⋊C4—471no—
921C4×C4⋊C4—471no—
922C4×C4⋊C4—471no—
923C4×C4⋊C4—471no—
924C4×C4⋊C4—471no—
925C4×C22⋊C4—471no—
926C4×C22⋊C4—471no—
927C4×C22⋊C4—471no—
928C4×C22⋊C4—471no—
929C4×C22⋊C4—471no—
930C4×C22⋊C4—471no—
931C4×C22⋊C4—471no—
932C4×C22⋊C4—471no—
933C4×C22⋊C4—471no—
934C4×C22⋊C4—471no—
935C4×C22⋊C4—471no—
936C4×C22⋊C4—471no—
937C4×C22⋊C4—471no—
938C4×C22⋊C4—471no—
939C4×C22⋊C4—471no—
940C2×#95—471no—
941C2×#95—471no—
942C2×#95—471no—
943C47#3451311yescharacteristic, complemented, Sylow
944C22×Q8C22×D4711yescharacteristic
945C22×Q8C22×D4711yescharacteristic
946C22×D4C22×D4711yescharacteristic
947C22×D4C22×D4711yescharacteristic
948C22×D4C22×D4711yescharacteristic
949C22×D4C22×D4711yescharacteristic
950C22×D4C22×D4711yescharacteristic
951C22×D4C22×D4711yescharacteristic
952C23×C4—471no—
953C23×C4—471no—
954C23×C4—471no—
955C23×C4—471no—
956C23×C4—471no—
957C23×C4—471no—
958C23×C4—471no—
959C23×C4—471no—
960C23×C4C22×D4711yescharacteristic
961C23×C4C22×D4711yescharacteristic
962C23×C4C22×D4711yescharacteristic
963C23×C4C22×D4711yescharacteristic
964#125C2×Dic4718yescomplemented
965#124C2×Dic4718yescomplemented
966#124C2×Dic4718yescomplemented
967#123C2×Dic4718yescomplemented
968#123C2×Dic4718yescomplemented
969#123C2×Dic4718yescomplemented
970#123C2×Dic4718yescomplemented
971C22⋊Q8C2×Dic4718yescomplemented
972C22⋊Q8C2×Dic4718yescomplemented
973C22⋊Q8C2×Dic4718yescomplemented
974C22⋊Q8C2×Dic4718yescomplemented
975#121C2×Dic4718yescomplemented
976#121C2×Dic4718yescomplemented
977#121C2×Dic4718yescomplemented
978#121C2×Dic4718yescomplemented
979C4×Q8—1882no—
980C4×Q8—1882no—
981C4×D4—1882no—
982C4×D4—1882no—
983C4×D4—1882no—
984C4×D4—1882no—
985C4×D4—1882no—
986C4×D4—1882no—
987#117—1882no—
988#117—1882no—
989#117—1882no—
990C2×C4⋊C4—471no—
991C2×C4⋊C4—471no—
992C2×C4⋊C4—471no—
993C2×C4⋊C4—471no—
994C2×C4⋊C4—471no—
995C2×C4⋊C4—471no—
996C2×C4⋊C4—471no—
997C2×C4⋊C4—471no—
998C2×C4⋊C4—471no—
999C2×C4⋊C4—471no—
1000C2×C4⋊C4—471no—
1001C2×C4⋊C4—471no—
1002C2×C4⋊C4—471no—
1003C2×C4⋊C4—471no—
1004C2×C4⋊C4—471no—
1005C2×C4⋊C4—471no—
1006C2×C4⋊C4—471no—
1007C2×C4⋊C4—471no—
1008C2×C4⋊C4—471no—
1009C2×C4⋊C4—471no—
1010C2×C4⋊C4—471no—
1011C2×C4⋊C4—471no—
1012C2×C4⋊C4C22×D4711yescharacteristic
1013C2×C4⋊C4C22×D4711yescharacteristic
1014C2×C4⋊C4C22×D4711yescharacteristic
1015C2×C4⋊C4C22×D4711yescharacteristic
1016C2×C4⋊C4C22×D4711yescharacteristic
1017C2×C4⋊C4C22×D4711yescharacteristic
1018C2×C4⋊C4C22×D4711yescharacteristic
1019C2×C4⋊C4C22×D4711yescharacteristic
1020C2×C4⋊C4C22×D4711yescharacteristic
1021C2×C4⋊C4C22×D4711yescharacteristic
1022C2×C22⋊C4—471no—
1023C2×C22⋊C4—471no—
1024C2×C22⋊C4—471no—
1025C2×C22⋊C4—471no—
1026C2×C22⋊C4—471no—
1027C2×C22⋊C4—471no—
1028C2×C22⋊C4—471no—
1029C2×C22⋊C4—471no—
1030C2×C22⋊C4—471no—
1031C2×C22⋊C4—471no—
1032C2×C22⋊C4—471no—
1033C2×C22⋊C4—471no—
1034C2×C22⋊C4—471no—
1035C2×C22⋊C4—471no—
1036C2×C22⋊C4—471no—
1037C2×C22⋊C4—471no—
1038C2×C22⋊C4—471no—
1039C2×C22⋊C4—471no—
1040C2×C22⋊C4—471no—
1041C2×C22⋊C4—471no—
1042C2×C22⋊C4—471no—
1043C2×C22⋊C4—471no—
1044C2×C22⋊C4—471no—
1045C2×C22⋊C4—471no—
1046C2×C22⋊C4C22×D4711yescharacteristic
1047C2×C22⋊C4C22×D4711yescharacteristic
1048C2×C22⋊C4C22×D4711yescharacteristic
1049C2×C22⋊C4C22×D4711yescharacteristic
1050C2×C22⋊C4C22×D4711yescharacteristic
1051C2×C22⋊C4C22×D4711yescharacteristic
1052C2×C22⋊C4C22×D4711yescharacteristic
1053C2×C22⋊C4C22×D4711yescharacteristic
1054C2×C22⋊C4C22×D4711yescharacteristic
1055C2×C22⋊C4C22×D4711yescharacteristic
1056C2×C22⋊C4C22×D4711yescharacteristic
1057C2×C22⋊C4C22×D4711yescharacteristic
1058C2×C42—471no—
1059C2×C42—471no—
1060C2×C42—471no—
1061C2×C42—471no—
1062C2×C42—471no—
1063C2×C42—471no—
1064C2×C42—471no—
1065C2×C42—471no—
1066C2×C42—471no—
1067C2×C42—471no—
1068C2×C42—471no—
1069C2×C42—471no—
1070C2×C42—471no—
1071C2×C42—471no—
1072C2×C42—471no—
1073C2×C42—471no—
1074C2×C42—471no—
1075C2×C42—471no—
1076C2×C42—471no—
1077C2×C42—471no—
1078C2×C42—471no—
1079C2×C42—471no—
1080C2×C42—1882no—
1081C2×C42C22×D4711yescharacteristic
1082#95—471no—
1083#95—471no—
1084#95—471no—
1085#95—471no—
1086#95—471no—
1087#95—471no—
1088#95—471no—
1089#95—471no—
1090#95—471no—
1091#95—471no—
1092#95—471no—
1093#95—471no—
1094#95—471no—
1095#95—471no—
1096#95—471no—
1097#95—471no—
1098#95—471no—
1099#95—471no—
1100#95—471no—
1101#95—471no—
1102#95—471no—
1103#95—471no—
1104#95—471no—
1105#95—471no—
1106#95—471no—
1107#95—471no—
1108#95—471no—
1109#95—471no—
1110#95—471no—
1111#95—471no—
1112#95—471no—
1113#95—471no—
1114#95—471no—
1115#95—471no—
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126C24C23×D4711yescharacteristic
1127C24C23×D4711yescharacteristic
1128C24C23×D4711yescharacteristic
1129C24C23×D4711yescharacteristic
1130C2×Q8—41no—
1131C2×Q8—41no—
1132C2×Q8—41no—
1133C2×Q8—41no—
1134C2×Q8C22×Dic4714yes—
1135C2×Q8C22×Dic4714yes—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4C22×Dic4714yes—
1149C2×D4C22×Dic4714yes—
1150C2×D4C22×Dic4714yes—
1151C2×D4C22×Dic4714yes—
1152C2×D4C22×Dic4714yes—
1153C2×D4C22×Dic4714yes—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—471no—
1163C22×C4—471no—
1164C22×C4—471no—
1165C22×C4—471no—
1166C22×C4—471no—
1167C22×C4—471no—
1168C22×C4—471no—
1169C22×C4—471no—
1170C22×C4—471no—
1171C22×C4—471no—
1172C22×C4—471no—
1173C22×C4—471no—
1174C22×C4—471no—
1175C22×C4—471no—
1176C22×C4—471no—
1177C22×C4—471no—
1178C22×C4—942no—
1179C22×C4—942no—
1180C22×C4—942no—
1181C22×C4—942no—
1182C22×C4—942no—
1183C22×C4—942no—
1184C22×C4—1881no—
1185C22×C4—1881no—
1186C22×C4—1881no—
1187C22×C4—1881no—
1188C22×C4—1881no—
1189C22×C4—1881no—
1190C22×C4—1881no—
1191C22×C4—1881no—
1192C22×C4—1881no—
1193C22×C4—1881no—
1194C22×C4—1881no—
1195C22×C4—1881no—
1196C22×C4—1881no—
1197C22×C4—1881no—
1198C22×C4—1881no—
1199C22×C4—1881no—
1200C22×C4—1881no—
1201C22×C4—1881no—
1202C22×C4C22×Dic4714yes—
1203C22×C4C22×Dic4714yes—
1204C22×C4C22×Dic4714yes—
1205C22×C4C22×Dic4714yes—
1206C22×C4C23×D4711yescharacteristic
1207C22×C4C23×D4711yescharacteristic
1208C22×C4C23×D4711yescharacteristic
1209C22×C4C23×D4711yescharacteristic
1210C22×C4C23×D4711yescharacteristic
1211C22×C4C23×D4711yescharacteristic
1212C22×C4C23×D4711yescharacteristic
1213C22×C4C23×D4711yescharacteristic
1214C22×C4C23×D4711yescharacteristic
1215C22×C4C23×D4711yescharacteristic
1216C22×C4C23×D4711yescharacteristic
1217C4⋊C4—942no—
1218C4⋊C4—942no—
1219C4⋊C4—942no—
1220C4⋊C4—942no—
1221C4⋊C4—942no—
1222C4⋊C4—942no—
1223C4⋊C4—1881no—
1224C4⋊C4—1881no—
1225C4⋊C4—1881no—
1226C4⋊C4—1881no—
1227C4⋊C4—1881no—
1228C4⋊C4—1881no—
1229C4⋊C4—1881no—
1230C4⋊C4—1881no—
1231C4⋊C4—1881no—
1232C4⋊C4—1881no—
1233C4⋊C4—1881no—
1234C4⋊C4—1881no—
1235C4⋊C4—1881no—
1236C4⋊C4—1881no—
1237C4⋊C4—1881no—
1238C4⋊C4—1881no—
1239C4⋊C4C22×Dic4714yes—
1240C4⋊C4C22×Dic4714yes—
1241C4⋊C4C22×Dic4714yes—
1242C4⋊C4C22×Dic4714yes—
1243C4⋊C4C22×Dic4714yes—
1244C4⋊C4C22×Dic4714yes—
1245C4⋊C4C22×Dic4714yes—
1246C4⋊C4C22×Dic4714yes—
1247C4⋊C4C22×Dic4714yes—
1248C4⋊C4C22×Dic4714yes—
1249C22⋊C4—942no—
1250C22⋊C4—942no—
1251C22⋊C4—942no—
1252C22⋊C4—942no—
1253C22⋊C4—942no—
1254C22⋊C4—942no—
1255C22⋊C4—1881no—
1256C22⋊C4—1881no—
1257C22⋊C4—1881no—
1258C22⋊C4—1881no—
1259C22⋊C4—1881no—
1260C22⋊C4—1881no—
1261C22⋊C4—1881no—
1262C22⋊C4—1881no—
1263C22⋊C4—1881no—
1264C22⋊C4—1881no—
1265C22⋊C4—1881no—
1266C22⋊C4—1881no—
1267C22⋊C4—1881no—
1268C22⋊C4—1881no—
1269C22⋊C4—1881no—
1270C22⋊C4—1881no—
1271C22⋊C4—1881no—
1272C22⋊C4—1881no—
1273C22⋊C4C22×Dic4714yes—
1274C22⋊C4C22×Dic4714yes—
1275C22⋊C4C22×Dic4714yes—
1276C22⋊C4C22×Dic4714yes—
1277C22⋊C4C22×Dic4714yes—
1278C22⋊C4C22×Dic4714yes—
1279C22⋊C4C22×Dic4714yes—
1280C22⋊C4C22×Dic4714yes—
1281C22⋊C4C22×Dic4714yes—
1282C22⋊C4C22×Dic4714yes—
1283C22⋊C4C22×Dic4714yes—
1284C22⋊C4C22×Dic4714yes—
1285C42—942no—
1286C42—942no—
1287C42—942no—
1288C42—942no—
1289C42—942no—
1290C42—1881no—
1291C42—1881no—
1292C42—1881no—
1293C42—1881no—
1294C42—1881no—
1295C42—1881no—
1296C42—1881no—
1297C42—1881no—
1298C42—1881no—
1299C42—1881no—
1300C42—1881no—
1301C42—1881no—
1302C42—1881no—
1303C42—1881no—
1304C42—1881no—
1305C42—1881no—
1306C42—1881no—
1307C42C22×Dic4714yes—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23C23×Dic4712yes—
1333C23C23×Dic4712yes—
1334C23C23×Dic4712yes—
1335C23C23×Dic4712yes—
1336C23C24×D4711yescharacteristic
1337Q8—44no—
1338Q8—44no—
1339D4—44no—
1340D4—44no—
1341D4—44no—
1342D4—44no—
1343D4—44no—
1344D4—44no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—44no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—472no—
1372C2×C4—472no—
1373C2×C4—472no—
1374C2×C4—941no—
1375C2×C4—941no—
1376C2×C4—941no—
1377C2×C4—941no—
1378C2×C4—941no—
1379C2×C4—941no—
1380C2×C4—941no—
1381C2×C4—941no—
1382C2×C4—941no—
1383C2×C4—941no—
1384C2×C4—941no—
1385C2×C4—941no—
1386C2×C4—941no—
1387C2×C4—941no—
1388C2×C4—941no—
1389C2×C4—941no—
1390C2×C4—941no—
1391C2×C4—941no—
1392C2×C4—941no—
1393C2×C4—941no—
1394C2×C4—941no—
1395C2×C4—941no—
1396C2×C4—941no—
1397C2×C4—941no—
1398C2×C4—941no—
1399C2×C4—941no—
1400C2×C4—941no—
1401C2×C4—941no—
1402C2×C4—941no—
1403C2×C4—941no—
1404C2×C4—941no—
1405C2×C4—941no—
1406C2×C4—941no—
1407C2×C4—941no—
1408C2×C4—941no—
1409C2×C4—941no—
1410C2×C4—941no—
1411C2×C4—941no—
1412C2×C4—941no—
1413C2×C4—941no—
1414C2×C4—941no—
1415C2×C4—941no—
1416C2×C4—941no—
1417C2×C4—941no—
1418C2×C4—941no—
1419C2×C4—3762no—
1420C2×C4—3762no—
1421C2×C4—3762no—
1422C2×C4—3762no—
1423C2×C4—3762no—
1424C2×C4—3762no—
1425C2×C4—1884no—
1426C2×C4—1884no—
1427C2×C4C23×Dic4712yes—
1428C2×C4C23×Dic4712yes—
1429C2×C4C23×Dic4712yes—
1430C2×C4C23×Dic4712yes—
1431C2×C4C23×Dic4712yes—
1432C2×C4C23×Dic4712yes—
1433C2×C4C23×Dic4712yes—
1434C2×C4C23×Dic4712yes—
1435C2×C4C23×Dic4712yes—
1436C2×C4C23×Dic4712yes—
1437C2×C4C23×Dic4712yes—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22C24×Dic4711yescharacteristic
1467C22H(5,𝔽2)×D4711yescharacteristic
1468C22H(5,𝔽2)×D4711yescharacteristic
1469C222−1+4×D4711yescharacteristic
1470C22#1568995811yescharacteristic
1471C22#1568995811yescharacteristic
1472C22#1568996011yescharacteristic
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—22no—
1479C4—22no—
1480C4—22no—
1481C4—22no—
1482C4—22no—
1483C4—22no—
1484C4—942no—
1485C4—942no—
1486C4—942no—
1487C4—1881no—
1488C4—1881no—
1489C4—1881no—
1490C4—1881no—
1491C4—1881no—
1492C4—1881no—
1493C4—1881no—
1494C4—1881no—
1495C4—1881no—
1496C4—1881no—
1497C4—1881no—
1498C4—1881no—
1499C4—1881no—
1500C2—42no—
1501C2—42no—
1502C2—42no—
1503C2—42no—
1504C2H(5,𝔽2)×Dic4711yescharacteristic
1505C2H(5,𝔽2)×Dic4711yescharacteristic
1506C22−1+4×Dic4711yescharacteristic
1507C2#2025755011yescharacteristic
1508C2#2025760711yescharacteristic
1509C2#2025797311yescharacteristic
1510C2#2025802211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
Fitting, prime radicalC2×C47×#562C2
socle, cosocleC23×C47C25
hypercenterC2×#562D47
hypocenterC47#34513
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #20246554C2semidirect
2. #20246545C2semidirect
3. #20246536C2semidirect
4. #20246488C2semidirect
5. #20246473C2semidirect
6. #20246463C2semidirect
7. #20246463C2semidirect
8. #20246440C2semidirect
9. #20246440C2semidirect
10. #20246430C2semidirect
11. #20246419C2semidirect
12. #20246419C2semidirect
13. #20246384C2semidirect
14. #20246384C2semidirect
15. #20246384C2semidirect
16. #20246203C2semidirect
17. #20246203C2semidirect
18. #20246194C2semidirect
19. #20246182C2semidirect
20. #20246182C2semidirect
21. #20246182C2semidirect
22. #20246123C2semidirect
23. #20246123C2semidirect
24. #20246093C2semidirect
25. #20246083C2semidirect
26. #20246083C2semidirect
27. #20246072C2semidirect
28. C22⋊Q8×Dic47C2semidirect
29. #123×Dic47C2semidirect
30. #121×Dic47C2semidirect
172. C47×#562C4semidirect
332. #125×C47C2×C4semidirect
333. #124×C47C2×C4semidirect
334. #124×C47C2×C4semidirect
335. #123×C47C2×C4semidirect
336. #123×C47C2×C4semidirect
337. #123×C47C2×C4semidirect
338. #123×C47C2×C4semidirect
339. C22⋊Q8×C47C2×C4semidirect
340. C22⋊Q8×C47C2×C4semidirect
341. C22⋊Q8×C47C2×C4semidirect
342. C22⋊Q8×C47C2×C4semidirect
343. #121×C47C2×C4semidirect
344. #121×C47C2×C4semidirect
345. #121×C47C2×C4semidirect
346. #121×C47C2×C4semidirect
787. #562Dic47semidirect
943. C47#34513semidirect
964. #125C2×Dic47semidirect
965. #124C2×Dic47semidirect
966. #124C2×Dic47semidirect
967. #123C2×Dic47semidirect
968. #123C2×Dic47semidirect
969. #123C2×Dic47semidirect
970. #123C2×Dic47semidirect
971. C22⋊Q8C2×Dic47semidirect
972. C22⋊Q8C2×Dic47semidirect
973. C22⋊Q8C2×Dic47semidirect
974. C22⋊Q8C2×Dic47semidirect
975. #121C2×Dic47semidirect
976. #121C2×Dic47semidirect
977. #121C2×Dic47semidirect
978. #121C2×Dic47semidirect

Maximal subgroups

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

subgroupindex
#202465542
#202465452
#202465362
#202464882
#202464732
#202464632
#202464402
#202464302
#202464192
#202463842
#202462032
#202461942
#202461822
#202461232
#202460932
#202460832
#202460722
C22⋊Q8×Dic472
#123×Dic472
#121×Dic472
C2×C47×#5622
#3451347