Finite Group Databasebeta

← #35566749

Subgroups — #35566749

Order 21248.

2372 conjugacy classes of subgroups.

The subgroup lattice has 1516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24910599C211yesmaximal, characteristic, complemented
2#24910587C211yesmaximal, characteristic, complemented
3#24910587C211yesmaximal, characteristic, complemented
4#24910569C211yesmaximal, characteristic, complemented
5#24910515C211yesmaximal, characteristic, complemented
6#24910515C211yesmaximal, characteristic, complemented
7#24910515C211yesmaximal, characteristic, complemented
8#24910483C211yesmaximal, characteristic, complemented
9#24910459C211yesmaximal, characteristic, complemented
10#24910403C211yesmaximal, characteristic, complemented
11#24910403C211yesmaximal, characteristic, complemented
12#24910403C211yesmaximal, characteristic, complemented
13#24910392C211yesmaximal, characteristic, complemented
14#24910340C211yesmaximal, characteristic, complemented
15#24910323C211yesmaximal, characteristic, complemented
16#24910269C211yesmaximal, characteristic, complemented
17#24910257C211yesmaximal, characteristic, complemented
18#24910242C211yesmaximal, characteristic, complemented
19#24910230C211yesmaximal, characteristic, complemented
20#24910168C211yesmaximal, characteristic, complemented
21#24910168C211yesmaximal, characteristic, complemented
22#126×Dic83C211yesmaximal, characteristic, complemented
23#123×Dic83C211yesmaximal, characteristic, complemented
24#121×Dic83C211yesmaximal, characteristic, complemented
25#24909961C211yesmaximal, characteristic, complemented
26#24909908C211yesmaximal, characteristic, complemented
27C2×#19127587C211yesmaximal, characteristic, complemented
28#24909824C211yesmaximal, characteristic, complemented
29#24909824C211yesmaximal, characteristic, complemented
30C4×D4×Dic83C211yesmaximal, characteristic, complemented
31C2×#553×C83C211yesmaximal, characteristic
32C2×D4×Dic83C2211yescharacteristic
33C2×D4×Dic83C2211yescharacteristic
34C2×D4×Dic83C2211yescharacteristic
35C2×D4×Dic83C2211yescharacteristic
36C2×D4×Dic83C2211yescharacteristic
37C2×D4×Dic83C2211yescharacteristic
38C2×D4×Dic83C2211yescharacteristic
39C2×D4×Dic83C2211yescharacteristic
40C2×#14581751C2211yescharacteristic
41C22×C4⋊Dic83C2211yescharacteristic
42C22×C4×Dic83C2211yescharacteristic
43C22×C4×Dic83C2211yescharacteristic
44#19127604C2211yescharacteristic
45#19127604C2211yescharacteristic
46#19127600C2211yescharacteristic
47#19127600C2211yescharacteristic
48#19127600C2211yescharacteristic
49#19127600C2211yescharacteristic
50#19127594C2211yescharacteristic
51#19127594C2211yescharacteristic
52#19127594C2211yescharacteristic
53#19127594C2211yescharacteristic
54#19127594C2211yescharacteristic
55#19127594C2211yescharacteristic
56#19127594C2211yescharacteristic
57#19127594C2211yescharacteristic
58#19127594C2211yescharacteristic
59#19127594C2211yescharacteristic
60#19127594C2211yescharacteristic
61#19127594C2211yescharacteristic
62#19127594C2211yescharacteristic
63#19127594C2211yescharacteristic
64#19127594C2211yescharacteristic
65#19127594C2211yescharacteristic
66#19127594C2211yescharacteristic
67#19127594C2211yescharacteristic
68#19127587C2211yescharacteristic
69#19127587C2211yescharacteristic
70#19127587C2211yescharacteristic
71#19127587C2211yescharacteristic
72#19127587C2211yescharacteristic
73#19127587C2211yescharacteristic
74#19127587C2211yescharacteristic
75#19127587C2211yescharacteristic
76#19127587C2211yescharacteristic
77#19127587C2211yescharacteristic
78#19127587C2211yescharacteristic
79#19127587C2211yescharacteristic
80#19127587C2211yescharacteristic
81#19127587C2211yescharacteristic
82#19127587C2211yescharacteristic
83#19127587C2211yescharacteristic
84#19127587C2211yescharacteristic
85#19127587C2211yescharacteristic
86#19127587C2211yescharacteristic
87#19127587C2211yescharacteristic
88#19127587C2211yescharacteristic
89#19127587C2211yescharacteristic
90#19127587C2211yescharacteristic
91#19127587C2211yescharacteristic
92#19127587C2211yescharacteristic
93#19127587C2211yescharacteristic
94#19127581C2211yescharacteristic
95#19127581C2211yescharacteristic
96#19127581C2211yescharacteristic
97#19127581C2211yescharacteristic
98#19127581C2211yescharacteristic
99#19127581C2211yescharacteristic
100#19127581C2211yescharacteristic
101#19127581C2211yescharacteristic
102#19127581C2211yescharacteristic
103#19127581C2211yescharacteristic
104#19127581C2211yescharacteristic
105#19127581C2211yescharacteristic
106#19127581C2211yescharacteristic
107#19127581C2211yescharacteristic
108#19127576C2211yescharacteristic
109#19127576C2211yescharacteristic
110#19127576C2211yescharacteristic
111#19127576C2211yescharacteristic
112#19127576C2211yescharacteristic
113#19127576C2211yescharacteristic
114#19127569C2211yescharacteristic
115#19127569C2211yescharacteristic
116#19127567C2211yescharacteristic
117#19127564C2211yescharacteristic
118#19127564C2211yescharacteristic
119#19127561C2211yescharacteristic
120#19127561C2211yescharacteristic
121#19127561C2211yescharacteristic
122#19127561C2211yescharacteristic
123C4⋊C4×Dic83C2211yescharacteristic
124C4⋊C4×Dic83C2211yescharacteristic
125C4⋊C4×Dic83C2211yescharacteristic
126C4⋊C4×Dic83C2211yescharacteristic
127C4⋊C4×Dic83C2211yescharacteristic
128C4⋊C4×Dic83C2211yescharacteristic
129C4⋊C4×Dic83C2211yescharacteristic
130C4⋊C4×Dic83C2211yescharacteristic
131C4⋊C4×Dic83C2211yescharacteristic
132C4⋊C4×Dic83C2211yescharacteristic
133C4×C4⋊Dic83C2211yescharacteristic
134C4×C4⋊Dic83C2211yescharacteristic
135C4×C4⋊Dic83C2211yescharacteristic
136C4×C4⋊Dic83C2211yescharacteristic
137C22⋊C4×Dic83C2211yescharacteristic
138C22⋊C4×Dic83C2211yescharacteristic
139C22⋊C4×Dic83C2211yescharacteristic
140C22⋊C4×Dic83C2211yescharacteristic
141C22⋊C4×Dic83C2211yescharacteristic
142C22⋊C4×Dic83C2211yescharacteristic
143C22⋊C4×Dic83C2211yescharacteristic
144C22⋊C4×Dic83C2211yescharacteristic
145C22⋊C4×Dic83C2211yescharacteristic
146C22⋊C4×Dic83C2211yescharacteristic
147C22⋊C4×Dic83C2211yescharacteristic
148C22⋊C4×Dic83C2211yescharacteristic
149C22⋊C4×Dic83C2211yescharacteristic
150C22⋊C4×Dic83C2211yescharacteristic
151C22⋊C4×Dic83C2211yescharacteristic
152C22⋊C4×Dic83C2211yescharacteristic
153C4×C22⋊Dic83C2211yescharacteristic
154C4×C22⋊Dic83C2211yescharacteristic
155C4×C22⋊Dic83C2211yescharacteristic
156C4×C22⋊Dic83C2211yescharacteristic
157C4×C22⋊Dic83C2211yescharacteristic
158C4×C22⋊Dic83C2211yescharacteristic
159C4×C22⋊Dic83C2211yescharacteristic
160C4×C22⋊Dic83C2211yescharacteristic
161#19127547C2211yescharacteristic
162#19127547C2211yescharacteristic
163#19127547C2211yescharacteristic
164#19127547C2211yescharacteristic
165C2×C83⋊#95C2211yescharacteristic
166C2×C83⋊#95C2211yescharacteristic
167C2×C83⋊#95C2211yescharacteristic
168C2×C83⋊#95C2211yescharacteristic
169C2×C83⋊#95C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C42×Dic83C2211yescharacteristic
172#553×C83C4116yescomplemented
173C2×#126×C83C2211yescharacteristic
174C2×#126×C83C2211yescharacteristic
175C2×#125×C83C2211yescharacteristic
176C2×#123×C83C2211yescharacteristic
177C2×#123×C83C2211yescharacteristic
178C2×#121×C83C2211yescharacteristic
179C2×#121×C83C2211yescharacteristic
180C2×#121×C83C2211yescharacteristic
181C2×#121×C83C2211yescharacteristic
182C2×C4×D4×C83C2211yescharacteristic
183C2×C4×D4×C83C2211yescharacteristic
184C2×C4×D4×C83C2211yescharacteristic
185C2×C4×D4×C83C2211yescharacteristic
186C2×#117×C83C2211yescharacteristic
187C22×C4⋊C4×C83C2211yescharacteristic
188C23×Dic83C2311yescharacteristic
189C23×Dic83C2311yescharacteristic
190C23×Dic83C2311yescharacteristic
191C23×Dic83C2311yescharacteristic
192C23×Dic83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196C23×Dic83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198D4×Dic83—24no—
199D4×Dic83—24no—
200D4×Dic83—24no—
201D4×Dic83—24no—
202D4×Dic83—24no—
203D4×Dic83—24no—
204D4×Dic83—42no—
205D4×Dic83—42no—
206#14581751—42no—
207C2×C4⋊Dic83—42no—
208C2×C4⋊Dic83C2311yescharacteristic
209C2×C4⋊Dic83C2311yescharacteristic
210C2×C4⋊Dic83C2311yescharacteristic
211C2×C4⋊Dic83C2311yescharacteristic
212C2×C4⋊Dic83C2311yescharacteristic
213C2×C4⋊Dic83C2311yescharacteristic
214C2×C4⋊Dic83C2311yescharacteristic
215C2×C4⋊Dic83C2311yescharacteristic
216C2×C4⋊Dic83C2311yescharacteristic
217C2×C4⋊Dic83C2311yescharacteristic
218C2×C4⋊Dic83C2311yescharacteristic
219C2×C4⋊Dic83C2311yescharacteristic
220C2×C4⋊Dic83C2311yescharacteristic
221C2×C4⋊Dic83C2311yescharacteristic
222C2×C4⋊Dic83C2311yescharacteristic
223C2×C4⋊Dic83C2311yescharacteristic
224C2×C22⋊Dic83C2311yescharacteristic
225C2×C22⋊Dic83C2311yescharacteristic
226C2×C22⋊Dic83C2311yescharacteristic
227C2×C22⋊Dic83C2311yescharacteristic
228C2×C22⋊Dic83C2311yescharacteristic
229C2×C22⋊Dic83C2311yescharacteristic
230C2×C22⋊Dic83C2311yescharacteristic
231C2×C22⋊Dic83C2311yescharacteristic
232C2×C22⋊Dic83C2311yescharacteristic
233C2×C22⋊Dic83C2311yescharacteristic
234C2×C22⋊Dic83C2311yescharacteristic
235C2×C22⋊Dic83C2311yescharacteristic
236C2×C22⋊Dic83C2311yescharacteristic
237C2×C22⋊Dic83C2311yescharacteristic
238C2×C22⋊Dic83C2311yescharacteristic
239C2×C22⋊Dic83C2311yescharacteristic
240C2×C22⋊Dic83C2311yescharacteristic
241C2×C22⋊Dic83C2311yescharacteristic
242C2×C22⋊Dic83C2311yescharacteristic
243C2×C22⋊Dic83C2311yescharacteristic
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C4×Dic83—42no—
247C2×C4×Dic83—42no—
248C2×C4×Dic83C2311yescharacteristic
249C2×C4×Dic83C2311yescharacteristic
250C2×C4×Dic83C2311yescharacteristic
251C2×C4×Dic83C2311yescharacteristic
252C2×C4×Dic83C2311yescharacteristic
253C2×C4×Dic83C2311yescharacteristic
254C2×C4×Dic83C2311yescharacteristic
255C2×C4×Dic83C2311yescharacteristic
256C2×C4×Dic83C2311yescharacteristic
257C2×C4×Dic83C2311yescharacteristic
258C2×C4×Dic83C2311yescharacteristic
259C2×C4×Dic83C2311yescharacteristic
260C2×C4×Dic83C2311yescharacteristic
261C2×C4×Dic83C2311yescharacteristic
262C2×C4×Dic83C2311yescharacteristic
263C2×C4×Dic83C2311yescharacteristic
264C2×C4×Dic83C2311yescharacteristic
265C2×C4×Dic83C2311yescharacteristic
266C2×C4×Dic83C2311yescharacteristic
267C2×C4×Dic83C2311yescharacteristic
268C2×C4×Dic83C2311yescharacteristic
269C2×C4×Dic83C2311yescharacteristic
270C2×C4×Dic83C2311yescharacteristic
271C2×C4×Dic83C2311yescharacteristic
272C83⋊#95C2311yescharacteristic
273C83⋊#95C2311yescharacteristic
274C83⋊#95C2311yescharacteristic
275C83⋊#95C2311yescharacteristic
276C83⋊#95C2311yescharacteristic
277C83⋊#95C2311yescharacteristic
278C83⋊#95C2311yescharacteristic
279C83⋊#95C2311yescharacteristic
280C83⋊#95C2311yescharacteristic
281C83⋊#95C2311yescharacteristic
282C83⋊#95C2311yescharacteristic
283C83⋊#95C2311yescharacteristic
284C83⋊#95C2311yescharacteristic
285C83⋊#95C2311yescharacteristic
286C83⋊#95C2311yescharacteristic
287C83⋊#95C2311yescharacteristic
288C83⋊#95C2311yescharacteristic
289C83⋊#95C2311yescharacteristic
290C83⋊#95C2311yescharacteristic
291C83⋊#95C2311yescharacteristic
292C83⋊#95C2311yescharacteristic
293C83⋊#95C2311yescharacteristic
294C83⋊#95C2311yescharacteristic
295C83⋊#95C2311yescharacteristic
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C22×D4×C83C2311yescharacteristic
321C22×D4×C83C2311yescharacteristic
322C22×D4×C83C2311yescharacteristic
323C22×D4×C83C2311yescharacteristic
324C22×D4×C83C2311yescharacteristic
325C22×D4×C83C2311yescharacteristic
326C23×C4×C83C2311yescharacteristic
327C23×C4×C83C2311yescharacteristic
328C23×C4×C83C2311yescharacteristic
329C23×C4×C83C2311yescharacteristic
330C23×C4×C83C2311yescharacteristic
331C23×C4×C83C2311yescharacteristic
332#126×C83C2×C418yescomplemented
333#126×C83C2×C418yescomplemented
334#125×C83C2×C418yescomplemented
335#123×C83C2×C418yescomplemented
336#123×C83C2×C418yescomplemented
337#121×C83C2×C418yescomplemented
338#121×C83C2×C418yescomplemented
339#121×C83C2×C418yescomplemented
340#121×C83C2×C418yescomplemented
341C4×D4×C83C2×C418yescomplemented
342C4×D4×C83C2×C418yescomplemented
343C4×D4×C83C2×C418yescomplemented
344C4×D4×C83C2×C418yescomplemented
345#117×C83C2×C418yescomplemented
346C2×C4⋊C4×C83C2×C418yescomplemented
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C4⋊C4×C83C2311yescharacteristic
350C2×C4⋊C4×C83C2311yescharacteristic
351C2×C4⋊C4×C83C2311yescharacteristic
352C2×C4⋊C4×C83C2311yescharacteristic
353C2×C4⋊C4×C83C2311yescharacteristic
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C4⋊C4×C83C2311yescharacteristic
356C2×C4⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C22⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C42×C83C2311yescharacteristic
368C2×C42×C83C2311yescharacteristic
369C2×C42×C83C2311yescharacteristic
370C22×Dic83—22no—
371C22×Dic83—22no—
372C22×Dic83—22no—
373C22×Dic83—22no—
374C22×Dic83—22no—
375C22×Dic83—22no—
376C22×Dic83—22no—
377C22×Dic83—22no—
378C22×Dic83—22no—
379C22×Dic83—22no—
380C22×Dic83—22no—
381C22×Dic83—41no—
382C22×Dic83—41no—
383C22×Dic83—41no—
384C22×Dic83—41no—
385C22×Dic83—41no—
386C22×Dic83—41no—
387C22×Dic83—41no—
388C22×Dic83—41no—
389C22×Dic83—41no—
390C22×Dic83—41no—
391C22×Dic83—41no—
392C22×Dic83—41no—
393C22×Dic83—41no—
394C22×Dic83—41no—
395C22×Dic83—41no—
396C22×Dic83—41no—
397C22×Dic83—41no—
398C22×Dic83—41no—
399C22×Dic83#4114yes—
400C22×Dic83C2411yescharacteristic
401C22×Dic83C2411yescharacteristic
402C22×Dic83C2411yescharacteristic
403C22×Dic83C2411yescharacteristic
404C22×Dic83C2411yescharacteristic
405C22×Dic83C2411yescharacteristic
406C22×Dic83C2411yescharacteristic
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C4⋊Dic83—22no—
417C4⋊Dic83—22no—
418C4⋊Dic83—22no—
419C4⋊Dic83—22no—
420C4⋊Dic83—22no—
421C4⋊Dic83—22no—
422C4⋊Dic83—22no—
423C4⋊Dic83—22no—
424C4⋊Dic83—41no—
425C4⋊Dic83—41no—
426C4⋊Dic83—41no—
427C4⋊Dic83—41no—
428C4⋊Dic83—41no—
429C4⋊Dic83—41no—
430C4⋊Dic83—41no—
431C4⋊Dic83—41no—
432C22⋊Dic83—22no—
433C22⋊Dic83—22no—
434C22⋊Dic83—22no—
435C22⋊Dic83—22no—
436C22⋊Dic83—22no—
437C22⋊Dic83—22no—
438C22⋊Dic83—22no—
439C22⋊Dic83—22no—
440C22⋊Dic83—22no—
441C22⋊Dic83—22no—
442C22⋊Dic83—22no—
443C22⋊Dic83—41no—
444C22⋊Dic83—41no—
445C22⋊Dic83—41no—
446C22⋊Dic83—41no—
447C22⋊Dic83—41no—
448C22⋊Dic83—41no—
449C22⋊Dic83—41no—
450C22⋊Dic83—41no—
451C22⋊Dic83—41no—
452C22⋊Dic83—41no—
453C22⋊Dic83#4114yes—
454C4×Dic83—22no—
455C4×Dic83—22no—
456C4×Dic83—22no—
457C4×Dic83—22no—
458C4×Dic83—22no—
459C4×Dic83—22no—
460C4×Dic83—22no—
461C4×Dic83—22no—
462C4×Dic83—22no—
463C4×Dic83—41no—
464C4×Dic83—41no—
465C4×Dic83—41no—
466C4×Dic83—41no—
467C4×Dic83—41no—
468C4×Dic83—41no—
469C4×Dic83—41no—
470C4×Dic83—41no—
471C4×Dic83—41no—
472C4×Dic83—41no—
473C4×Dic83—41no—
474C4×Dic83—41no—
475C4×Dic83—41no—
476C4×Dic83—41no—
477C4×Dic83—41no—
478C24×C83C2411yescharacteristic
479C24×C83C2411yescharacteristic
480C24×C83C2411yescharacteristic
481C24×C83C2411yescharacteristic
482C2×D4×C83—22no—
483C2×D4×C83—22no—
484C2×D4×C83—22no—
485C2×D4×C83—22no—
486C2×D4×C83—22no—
487C2×D4×C83—22no—
488C2×D4×C83—41no—
489C2×D4×C83—41no—
490C2×D4×C83—41no—
491C2×D4×C83—41no—
492C2×D4×C83—41no—
493C2×D4×C83—41no—
494C2×D4×C83C22×C414yes—
495C2×D4×C83C22×C414yes—
496C2×D4×C83C22×C414yes—
497C2×D4×C83C22×C414yes—
498C2×D4×C83C22×C414yes—
499C2×D4×C83C22×C414yes—
500C22×C4×C83—41no—
501C22×C4×C83—41no—
502C22×C4×C83—41no—
503C22×C4×C83—41no—
504C22×C4×C83—41no—
505C22×C4×C83—41no—
506C22×C4×C83—41no—
507C22×C4×C83—41no—
508C22×C4×C83—41no—
509C22×C4×C83—41no—
510C22×C4×C83—41no—
511C22×C4×C83—41no—
512C22×C4×C83C22×C414yes—
513C22×C4×C83C22×C414yes—
514C22×C4×C83C22×C414yes—
515C22×C4×C83C22×C414yes—
516C22×C4×C83C22×C414yes—
517C22×C4×C83C22×C414yes—
518C22×C4×C83C2411yescharacteristic
519C22×C4×C83C2411yescharacteristic
520C22×C4×C83C2411yescharacteristic
521C22×C4×C83C2411yescharacteristic
522C22×C4×C83C2411yescharacteristic
523C22×C4×C83C2411yescharacteristic
524C22×C4×C83C2411yescharacteristic
525C22×C4×C83C2411yescharacteristic
526C22×C4×C83C2411yescharacteristic
527C22×C4×C83C2411yescharacteristic
528C22×C4×C83C2411yescharacteristic
529C4⋊C4×C83C22×C414yes—
530C4⋊C4×C83C22×C414yes—
531C4⋊C4×C83C22×C414yes—
532C4⋊C4×C83C22×C414yes—
533C4⋊C4×C83C22×C414yes—
534C4⋊C4×C83C22×C414yes—
535C4⋊C4×C83C22×C414yes—
536C4⋊C4×C83C22×C414yes—
537C4⋊C4×C83C22×C414yes—
538C4⋊C4×C83C22×C414yes—
539C22⋊C4×C83C22×C414yes—
540C22⋊C4×C83C22×C414yes—
541C22⋊C4×C83C22×C414yes—
542C22⋊C4×C83C22×C414yes—
543C22⋊C4×C83C22×C414yes—
544C22⋊C4×C83C22×C414yes—
545C22⋊C4×C83C22×C414yes—
546C22⋊C4×C83C22×C414yes—
547C22⋊C4×C83C22×C414yes—
548C22⋊C4×C83C22×C414yes—
549C42×C83C22×C414yes—
550C42×C83C22×C414yes—
551C42×C83C22×C414yes—
552C23×C83—21no—
553C23×C83—21no—
554C23×C83—21no—
555C23×C83—21no—
556C23×C83—21no—
557C23×C83—21no—
558C23×C83—21no—
559C23×C83—21no—
560C23×C83—21no—
561C23×C83—21no—
562C23×C83—21no—
563C23×C83—21no—
564C23×C83—21no—
565C23×C83—21no—
566C23×C83—21no—
567C23×C83—21no—
568C23×C83—21no—
569C23×C83—21no—
570C23×C83—21no—
571C23×C83—21no—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83C23×C412yes—
575C23×C83C23×C412yes—
576C23×C83C23×C412yes—
577C23×C83C23×C412yes—
578C23×C83C2×#4112yes—
579C23×C83C2×#4112yes—
580C23×C83C2511yescharacteristic
581D4×C83—28no—
582D4×C83—28no—
583D4×C83—28no—
584D4×C83—44no—
585D4×C83—44no—
586D4×C83—44no—
587C2×C4×C83—21no—
588C2×C4×C83—21no—
589C2×C4×C83—21no—
590C2×C4×C83—21no—
591C2×C4×C83—21no—
592C2×C4×C83—21no—
593C2×C4×C83—21no—
594C2×C4×C83—21no—
595C2×C4×C83—21no—
596C2×C4×C83—21no—
597C2×C4×C83—21no—
598C2×C4×C83—21no—
599C2×C4×C83—21no—
600C2×C4×C83—21no—
601C2×C4×C83—21no—
602C2×C4×C83—21no—
603C2×C4×C83—21no—
604C2×C4×C83—21no—
605C2×C4×C83—21no—
606C2×C4×C83—21no—
607C2×C4×C83—21no—
608C2×C4×C83—21no—
609C2×C4×C83—44no—
610C2×C4×C83—44no—
611C2×C4×C83—44no—
612C2×C4×C83—44no—
613C2×C4×C83—44no—
614C2×C4×C83—44no—
615C2×C4×C83C23×C412yes—
616C2×C4×C83C23×C412yes—
617C2×C4×C83C23×C412yes—
618C2×C4×C83C23×C412yes—
619C2×C4×C83C23×C412yes—
620C2×C4×C83C23×C412yes—
621C2×C4×C83C23×C412yes—
622C2×C4×C83C23×C412yes—
623C2×C4×C83C23×C412yes—
624C2×C4×C83C23×C412yes—
625C2×C4×C83C23×C412yes—
626C2×Dic83—21no—
627C2×Dic83—21no—
628C2×Dic83—21no—
629C2×Dic83—21no—
630C2×Dic83—21no—
631C2×Dic83—21no—
632C2×Dic83—21no—
633C2×Dic83—21no—
634C2×Dic83—21no—
635C2×Dic83—21no—
636C2×Dic83—21no—
637C2×Dic83—21no—
638C2×Dic83—21no—
639C2×Dic83—21no—
640C2×Dic83—21no—
641C2×Dic83—21no—
642C2×Dic83—21no—
643C2×Dic83—21no—
644C2×Dic83—21no—
645C2×Dic83—21no—
646C2×Dic83—21no—
647C2×Dic83—21no—
648C2×Dic83—21no—
649C2×Dic83—21no—
650C2×Dic83—21no—
651C2×Dic83—21no—
652C2×Dic83—21no—
653C2×Dic83—21no—
654C2×Dic83—21no—
655C2×Dic83—21no—
656C2×Dic83—21no—
657C2×Dic83—21no—
658C2×Dic83—21no—
659C2×Dic83—21no—
660C2×Dic83—21no—
661C2×Dic83—21no—
662C2×Dic83—21no—
663C2×Dic83—21no—
664C2×Dic83—21no—
665C2×Dic83—21no—
666C2×Dic83—21no—
667C2×Dic83—21no—
668C2×Dic83—21no—
669C2×Dic83—44no—
670C2×Dic83—44no—
671C2×Dic83—44no—
672C2×Dic83—44no—
673C2×Dic83—82no—
674C2×Dic83—82no—
675C2×Dic83—82no—
676C2×Dic83—82no—
677C2×Dic83—82no—
678C2×Dic83—82no—
679C2×Dic83C2×#4112yes—
680C2×Dic83C2×#4112yes—
681C2×Dic83C2×#4112yes—
682C2×Dic83C2×#4112yes—
683C2×Dic83H(5,𝔽2)12yes—
684C22×C83—22no—
685C22×C83—22no—
686C22×C83—22no—
687C22×C83—22no—
688C22×C83—22no—
689C22×C83—22no—
690C22×C83—22no—
691C22×C83—22no—
692C22×C83—22no—
693C22×C83—22no—
694C22×C83—22no—
695C22×C83—22no—
696C22×C83—22no—
697C22×C83—22no—
698C22×C83—22no—
699C22×C83—41no—
700C22×C83—41no—
701C22×C83—41no—
702C22×C83—41no—
703C22×C83—41no—
704C22×C83—41no—
705C22×C83—41no—
706C22×C83—41no—
707C22×C83—41no—
708C22×C83—41no—
709C22×C83—41no—
710C22×C83—41no—
711C22×C83C4×#4114yes—
712C22×C83C24×C411yescharacteristic
713C22×C83C22×#4111yescharacteristic
714C22×C83C22×#4111yescharacteristic
715C22×C83C2×H(5,𝔽2)11yescharacteristic
716C22×C83#58511yescharacteristic
717C22×C83#58511yescharacteristic
718C22×C83#58511yescharacteristic
719C4×C83—22no—
720C4×C83—22no—
721C4×C83—22no—
722C4×C83—22no—
723C4×C83—22no—
724C4×C83—22no—
725C4×C83—22no—
726C4×C83—22no—
727C4×C83—22no—
728C4×C83—22no—
729C4×C83—22no—
730Dic83—22no—
731Dic83—22no—
732Dic83—22no—
733Dic83—22no—
734Dic83—22no—
735Dic83—41no—
736Dic83—41no—
737Dic83—41no—
738Dic83—41no—
739Dic83—41no—
740Dic83—41no—
741Dic83—41no—
742Dic83—41no—
743Dic83—41no—
744Dic83—41no—
745Dic83—41no—
746#34325—831nomaximal, Sylow
747C2×C83—24no—
748C2×C83—42no—
749C2×C83—42no—
750C2×C83—42no—
751C2×C83C2×C4×#4111yescharacteristic
752C2×C83#342811yescharacteristic
753C2×C83C4×H(5,𝔽2)11yescharacteristic
754C2×C83#350511yescharacteristic
755C2×C83#351211yescharacteristic
756C2×C83#351311yescharacteristic
757C2×C83#352111yescharacteristic
758C2×#553D8311yescharacteristic
759#2374—831no—
760#2373—831no—
761#2373—831no—
762#2371—831no—
763#2364—831no—
764#2364—831no—
765#2364—831no—
766#2361—831no—
767#2359—831no—
768#2353—831no—
769#2353—831no—
770#2353—831no—
771#2352—831no—
772#2345—831no—
773#2343—831no—
774#2336—831no—
775#2335—831no—
776#2334—831no—
777#2333—831no—
778#2325—831no—
779#2325—831no—
780C4×#126—831no—
781C4×#123—831no—
782C4×#121—831no—
783#2298—831no—
784#2290—831no—
785C2×#387—831no—
786#2275—831no—
787#2275—831no—
788C42×D4—831no—
789C83#3432511yescharacteristic, complemented, Sylow
790#553Dic83116yescomplemented
791C2×#126C2×D8311yescharacteristic
792C2×#126C2×D8311yescharacteristic
793C2×#125C2×D8311yescharacteristic
794C2×#123C2×D8311yescharacteristic
795C2×#123C2×D8311yescharacteristic
796C2×#121C2×D8311yescharacteristic
797C2×#121C2×D8311yescharacteristic
798C2×#121C2×D8311yescharacteristic
799C2×#121C2×D8311yescharacteristic
800C2×C4×D4—831no—
801C2×C4×D4—831no—
802C2×C4×D4—831no—
803C2×C4×D4—831no—
804C2×C4×D4—831no—
805C2×C4×D4—831no—
806C2×C4×D4—831no—
807C2×C4×D4—831no—
808C2×C4×D4C2×D8311yescharacteristic
809C2×C4×D4C2×D8311yescharacteristic
810C2×C4×D4C2×D8311yescharacteristic
811C2×C4×D4C2×D8311yescharacteristic
812C2×#117—831no—
813C2×#117C2×D8311yescharacteristic
814C22×C4⋊C4—831no—
815C22×C4⋊C4C2×D8311yescharacteristic
816C22×C42—831no—
817C22×C42—831no—
818#390—831no—
819#390—831no—
820#389—831no—
821#389—831no—
822#389—831no—
823#389—831no—
824#388—831no—
825#388—831no—
826#388—831no—
827#388—831no—
828#388—831no—
829#388—831no—
830#388—831no—
831#388—831no—
832#388—831no—
833#388—831no—
834#388—831no—
835#388—831no—
836#388—831no—
837#388—831no—
838#388—831no—
839#388—831no—
840#388—831no—
841#388—831no—
842#387—831no—
843#387—831no—
844#387—831no—
845#387—831no—
846#387—831no—
847#387—831no—
848#387—831no—
849#387—831no—
850#387—831no—
851#387—831no—
852#387—831no—
853#387—831no—
854#387—831no—
855#387—831no—
856#387—831no—
857#387—831no—
858#387—831no—
859#387—831no—
860#387—831no—
861#387—831no—
862#387—831no—
863#387—831no—
864#387—831no—
865#387—831no—
866#387—831no—
867#387—831no—
868#386—831no—
869#386—831no—
870#386—831no—
871#386—831no—
872#386—831no—
873#386—831no—
874#386—831no—
875#386—831no—
876#386—831no—
877#386—831no—
878#386—831no—
879#386—831no—
880#386—831no—
881#386—831no—
882#385—831no—
883#385—831no—
884#385—831no—
885#385—831no—
886#385—831no—
887#385—831no—
888#383—831no—
889#383—831no—
890#382—831no—
891#381—831no—
892#381—831no—
893#380—831no—
894#380—831no—
895#380—831no—
896#380—831no—
897C4×C4⋊C4—831no—
898C4×C4⋊C4—831no—
899C4×C4⋊C4—831no—
900C4×C4⋊C4—831no—
901C4×C4⋊C4—831no—
902C4×C4⋊C4—831no—
903C4×C4⋊C4—831no—
904C4×C4⋊C4—831no—
905C4×C4⋊C4—831no—
906C4×C4⋊C4—831no—
907C4×C4⋊C4—831no—
908C4×C4⋊C4—831no—
909C4×C4⋊C4—831no—
910C4×C4⋊C4—831no—
911C4×C22⋊C4—831no—
912C4×C22⋊C4—831no—
913C4×C22⋊C4—831no—
914C4×C22⋊C4—831no—
915C4×C22⋊C4—831no—
916C4×C22⋊C4—831no—
917C4×C22⋊C4—831no—
918C4×C22⋊C4—831no—
919C4×C22⋊C4—831no—
920C4×C22⋊C4—831no—
921C4×C22⋊C4—831no—
922C4×C22⋊C4—831no—
923C4×C22⋊C4—831no—
924C4×C22⋊C4—831no—
925C4×C22⋊C4—831no—
926C4×C22⋊C4—831no—
927C4×C22⋊C4—831no—
928C4×C22⋊C4—831no—
929C4×C22⋊C4—831no—
930C4×C22⋊C4—831no—
931C4×C22⋊C4—831no—
932C4×C22⋊C4—831no—
933C4×C22⋊C4—831no—
934C4×C22⋊C4—831no—
935#376—831no—
936#376—831no—
937#376—831no—
938#376—831no—
939C2×#95—831no—
940C2×#95—831no—
941C2×#95—831no—
942C2×#95—831no—
943C2×#95—831no—
944C2×#95—831no—
945C43—831no—
946C22×D4C22×D8311yescharacteristic
947C22×D4C22×D8311yescharacteristic
948C22×D4C22×D8311yescharacteristic
949C22×D4C22×D8311yescharacteristic
950C22×D4C22×D8311yescharacteristic
951C22×D4C22×D8311yescharacteristic
952C23×C4—831no—
953C23×C4—831no—
954C23×C4—831no—
955C23×C4—831no—
956C23×C4—831no—
957C23×C4—831no—
958C23×C4—831no—
959C23×C4—831no—
960C23×C4—831no—
961C23×C4—831no—
962C23×C4C22×D8311yescharacteristic
963C23×C4C22×D8311yescharacteristic
964C23×C4C22×D8311yescharacteristic
965C23×C4C22×D8311yescharacteristic
966C23×C4C22×D8311yescharacteristic
967C23×C4C22×D8311yescharacteristic
968#126C2×Dic8318yescomplemented
969#126C2×Dic8318yescomplemented
970#125C2×Dic8318yescomplemented
971#123C2×Dic8318yescomplemented
972#123C2×Dic8318yescomplemented
973#121C2×Dic8318yescomplemented
974#121C2×Dic8318yescomplemented
975#121C2×Dic8318yescomplemented
976#121C2×Dic8318yescomplemented
977C4×D4—3322no—
978C4×D4—3322no—
979C4×D4—1664no—
980C4×D4—1664no—
981C4×D4—1664no—
982C4×D4—1664no—
983C4×D4—1664no—
984C4×D4—1664no—
985C4×D4C2×Dic8318yescomplemented
986C4×D4C2×Dic8318yescomplemented
987C4×D4C2×Dic8318yescomplemented
988C4×D4C2×Dic8318yescomplemented
989#117—3322no—
990#117C2×Dic8318yescomplemented
991C2×C4⋊C4—3322no—
992C2×C4⋊C4—831no—
993C2×C4⋊C4—831no—
994C2×C4⋊C4—831no—
995C2×C4⋊C4—831no—
996C2×C4⋊C4—831no—
997C2×C4⋊C4—831no—
998C2×C4⋊C4—831no—
999C2×C4⋊C4—831no—
1000C2×C4⋊C4—831no—
1001C2×C4⋊C4—831no—
1002C2×C4⋊C4—831no—
1003C2×C4⋊C4—831no—
1004C2×C4⋊C4—831no—
1005C2×C4⋊C4—831no—
1006C2×C4⋊C4—831no—
1007C2×C4⋊C4—831no—
1008C2×C4⋊C4C2×Dic8318yescomplemented
1009C2×C4⋊C4C22×D8311yescharacteristic
1010C2×C4⋊C4C22×D8311yescharacteristic
1011C2×C4⋊C4C22×D8311yescharacteristic
1012C2×C4⋊C4C22×D8311yescharacteristic
1013C2×C4⋊C4C22×D8311yescharacteristic
1014C2×C4⋊C4C22×D8311yescharacteristic
1015C2×C4⋊C4C22×D8311yescharacteristic
1016C2×C4⋊C4C22×D8311yescharacteristic
1017C2×C4⋊C4C22×D8311yescharacteristic
1018C2×C4⋊C4C22×D8311yescharacteristic
1019C2×C22⋊C4—831no—
1020C2×C22⋊C4—831no—
1021C2×C22⋊C4—831no—
1022C2×C22⋊C4—831no—
1023C2×C22⋊C4—831no—
1024C2×C22⋊C4—831no—
1025C2×C22⋊C4—831no—
1026C2×C22⋊C4—831no—
1027C2×C22⋊C4—831no—
1028C2×C22⋊C4—831no—
1029C2×C22⋊C4—831no—
1030C2×C22⋊C4—831no—
1031C2×C22⋊C4—831no—
1032C2×C22⋊C4—831no—
1033C2×C22⋊C4—831no—
1034C2×C22⋊C4—831no—
1035C2×C22⋊C4—831no—
1036C2×C22⋊C4—831no—
1037C2×C22⋊C4—831no—
1038C2×C22⋊C4—831no—
1039C2×C22⋊C4—831no—
1040C2×C22⋊C4—831no—
1041C2×C22⋊C4C22×D8311yescharacteristic
1042C2×C22⋊C4C22×D8311yescharacteristic
1043C2×C22⋊C4C22×D8311yescharacteristic
1044C2×C22⋊C4C22×D8311yescharacteristic
1045C2×C22⋊C4C22×D8311yescharacteristic
1046C2×C22⋊C4C22×D8311yescharacteristic
1047C2×C22⋊C4C22×D8311yescharacteristic
1048C2×C22⋊C4C22×D8311yescharacteristic
1049C2×C22⋊C4C22×D8311yescharacteristic
1050C2×C22⋊C4C22×D8311yescharacteristic
1051C2×C42—3322no—
1052C2×C42—3322no—
1053C2×C42—831no—
1054C2×C42—831no—
1055C2×C42—831no—
1056C2×C42—831no—
1057C2×C42—831no—
1058C2×C42—831no—
1059C2×C42—831no—
1060C2×C42—831no—
1061C2×C42—831no—
1062C2×C42—831no—
1063C2×C42—831no—
1064C2×C42—831no—
1065C2×C42—831no—
1066C2×C42—831no—
1067C2×C42—831no—
1068C2×C42—831no—
1069C2×C42—831no—
1070C2×C42—831no—
1071C2×C42—831no—
1072C2×C42—831no—
1073C2×C42—831no—
1074C2×C42—831no—
1075C2×C42—831no—
1076C2×C42—831no—
1077C2×C42C22×D8311yescharacteristic
1078C2×C42C22×D8311yescharacteristic
1079C2×C42C22×D8311yescharacteristic
1080#95—831no—
1081#95—831no—
1082#95—831no—
1083#95—831no—
1084#95—831no—
1085#95—831no—
1086#95—831no—
1087#95—831no—
1088#95—831no—
1089#95—831no—
1090#95—831no—
1091#95—831no—
1092#95—831no—
1093#95—831no—
1094#95—831no—
1095#95—831no—
1096#95—831no—
1097#95—831no—
1098#95—831no—
1099#95—831no—
1100#95—831no—
1101#95—831no—
1102#95—831no—
1103#95—831no—
1104#95—831no—
1105#95—831no—
1106#95—831no—
1107#95—831no—
1108#95—831no—
1109#95—831no—
1110#95—831no—
1111#95—831no—
1112#95—831no—
1113#95—831no—
1114#95—831no—
1115#95—831no—
1116#95—831no—
1117#95—831no—
1118#95—831no—
1119#95—831no—
1120#95—831no—
1121#95—831no—
1122#95—831no—
1123#95—831no—
1124#95—831no—
1125#95—831no—
1126#95—831no—
1127#95—831no—
1128C24C23×D8311yescharacteristic
1129C24C23×D8311yescharacteristic
1130C24C23×D8311yescharacteristic
1131C24C23×D8311yescharacteristic
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—22no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4C22×Dic8314yes—
1145C2×D4C22×Dic8314yes—
1146C2×D4C22×Dic8314yes—
1147C2×D4C22×Dic8314yes—
1148C2×D4C22×Dic8314yes—
1149C2×D4C22×Dic8314yes—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
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—3321no—
1163C22×C4—3321no—
1164C22×C4—3321no—
1165C22×C4—3321no—
1166C22×C4—3321no—
1167C22×C4—3321no—
1168C22×C4—3321no—
1169C22×C4—3321no—
1170C22×C4—3321no—
1171C22×C4—3321no—
1172C22×C4—3321no—
1173C22×C4—3321no—
1174C22×C4—3321no—
1175C22×C4—3321no—
1176C22×C4—3321no—
1177C22×C4—3321no—
1178C22×C4—3321no—
1179C22×C4—3321no—
1180C22×C4—834no—
1181C22×C4—831no—
1182C22×C4—831no—
1183C22×C4—831no—
1184C22×C4—831no—
1185C22×C4—831no—
1186C22×C4—831no—
1187C22×C4—831no—
1188C22×C4—831no—
1189C22×C4—831no—
1190C22×C4—831no—
1191C22×C4—831no—
1192C22×C4—831no—
1193C22×C4—831no—
1194C22×C4—831no—
1195C22×C4—831no—
1196C22×C4—831no—
1197C22×C4—1662no—
1198C22×C4—1662no—
1199C22×C4—1662no—
1200C22×C4—1662no—
1201C22×C4—1662no—
1202C22×C4—1662no—
1203C22×C4—1662no—
1204C22×C4—1662no—
1205C22×C4—1662no—
1206C22×C4—1662no—
1207C22×C4—1662no—
1208C22×C4C22×Dic8314yes—
1209C22×C4C22×Dic8314yes—
1210C22×C4C22×Dic8314yes—
1211C22×C4C22×Dic8314yes—
1212C22×C4C22×Dic8314yes—
1213C22×C4C22×Dic8314yes—
1214C22×C4C23×D8311yescharacteristic
1215C22×C4C23×D8311yescharacteristic
1216C22×C4C23×D8311yescharacteristic
1217C22×C4C23×D8311yescharacteristic
1218C22×C4C23×D8311yescharacteristic
1219C22×C4C23×D8311yescharacteristic
1220C22×C4C23×D8311yescharacteristic
1221C22×C4C23×D8311yescharacteristic
1222C22×C4C23×D8311yescharacteristic
1223C22×C4C23×D8311yescharacteristic
1224C22×C4C23×D8311yescharacteristic
1225C4⋊C4—3321no—
1226C4⋊C4—3321no—
1227C4⋊C4—3321no—
1228C4⋊C4—3321no—
1229C4⋊C4—3321no—
1230C4⋊C4—3321no—
1231C4⋊C4—3321no—
1232C4⋊C4—3321no—
1233C4⋊C4—1662no—
1234C4⋊C4—1662no—
1235C4⋊C4—1662no—
1236C4⋊C4—1662no—
1237C4⋊C4—1662no—
1238C4⋊C4—1662no—
1239C4⋊C4—1662no—
1240C4⋊C4—1662no—
1241C4⋊C4C22×Dic8314yes—
1242C4⋊C4C22×Dic8314yes—
1243C4⋊C4C22×Dic8314yes—
1244C4⋊C4C22×Dic8314yes—
1245C4⋊C4C22×Dic8314yes—
1246C4⋊C4C22×Dic8314yes—
1247C4⋊C4C22×Dic8314yes—
1248C4⋊C4C22×Dic8314yes—
1249C4⋊C4C22×Dic8314yes—
1250C4⋊C4C22×Dic8314yes—
1251C22⋊C4—3321no—
1252C22⋊C4—3321no—
1253C22⋊C4—3321no—
1254C22⋊C4—3321no—
1255C22⋊C4—3321no—
1256C22⋊C4—3321no—
1257C22⋊C4—3321no—
1258C22⋊C4—3321no—
1259C22⋊C4—3321no—
1260C22⋊C4—3321no—
1261C22⋊C4—834no—
1262C22⋊C4—1662no—
1263C22⋊C4—1662no—
1264C22⋊C4—1662no—
1265C22⋊C4—1662no—
1266C22⋊C4—1662no—
1267C22⋊C4—1662no—
1268C22⋊C4—1662no—
1269C22⋊C4—1662no—
1270C22⋊C4—1662no—
1271C22⋊C4—1662no—
1272C22⋊C4—1662no—
1273C22⋊C4C22×Dic8314yes—
1274C22⋊C4C22×Dic8314yes—
1275C22⋊C4C22×Dic8314yes—
1276C22⋊C4C22×Dic8314yes—
1277C22⋊C4C22×Dic8314yes—
1278C22⋊C4C22×Dic8314yes—
1279C22⋊C4C22×Dic8314yes—
1280C22⋊C4C22×Dic8314yes—
1281C22⋊C4C22×Dic8314yes—
1282C22⋊C4C22×Dic8314yes—
1283C42—3321no—
1284C42—3321no—
1285C42—3321no—
1286C42—3321no—
1287C42—3321no—
1288C42—3321no—
1289C42—3321no—
1290C42—3321no—
1291C42—3321no—
1292C42—3321no—
1293C42—3321no—
1294C42—3321no—
1295C42—3321no—
1296C42—3321no—
1297C42—3321no—
1298C42—1662no—
1299C42—1662no—
1300C42—1662no—
1301C42—1662no—
1302C42—1662no—
1303C42—1662no—
1304C42—1662no—
1305C42—1662no—
1306C42—1662no—
1307C42C22×Dic8314yes—
1308C42C22×Dic8314yes—
1309C42C22×Dic8314yes—
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×Dic8312yes—
1333C23C23×Dic8312yes—
1334C23C23×Dic8312yes—
1335C23C23×Dic8312yes—
1336C23#41×D8312yes—
1337C23#41×D8312yes—
1338C23C24×D8311yescharacteristic
1339D4—28no—
1340D4—28no—
1341D4—28no—
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—44no—
1372C2×C4—44no—
1373C2×C4—3324no—
1374C2×C4—3324no—
1375C2×C4—3324no—
1376C2×C4—3324no—
1377C2×C4—832no—
1378C2×C4—832no—
1379C2×C4—832no—
1380C2×C4—832no—
1381C2×C4—832no—
1382C2×C4—6642no—
1383C2×C4—6642no—
1384C2×C4—6642no—
1385C2×C4—6642no—
1386C2×C4—6642no—
1387C2×C4—6642no—
1388C2×C4—1661no—
1389C2×C4—1661no—
1390C2×C4—1661no—
1391C2×C4—1661no—
1392C2×C4—1661no—
1393C2×C4—1661no—
1394C2×C4—1661no—
1395C2×C4—1661no—
1396C2×C4—1661no—
1397C2×C4—1661no—
1398C2×C4—1661no—
1399C2×C4—1661no—
1400C2×C4—1661no—
1401C2×C4—1661no—
1402C2×C4—1661no—
1403C2×C4—1661no—
1404C2×C4—1661no—
1405C2×C4—1661no—
1406C2×C4—1661no—
1407C2×C4—1661no—
1408C2×C4—1661no—
1409C2×C4—1661no—
1410C2×C4—1661no—
1411C2×C4—1661no—
1412C2×C4—1661no—
1413C2×C4—1661no—
1414C2×C4—1661no—
1415C2×C4—1661no—
1416C2×C4—1661no—
1417C2×C4—1661no—
1418C2×C4—1661no—
1419C2×C4—1661no—
1420C2×C4—1661no—
1421C2×C4—1661no—
1422C2×C4—1661no—
1423C2×C4—1661no—
1424C2×C4—1661no—
1425C2×C4—1661no—
1426C2×C4—1661no—
1427C2×C4—1661no—
1428C2×C4—1661no—
1429C2×C4—1661no—
1430C2×C4—1661no—
1431C2×C4C23×Dic8312yes—
1432C2×C4C23×Dic8312yes—
1433C2×C4C23×Dic8312yes—
1434C2×C4C23×Dic8312yes—
1435C2×C4C23×Dic8312yes—
1436C2×C4C23×Dic8312yes—
1437C2×C4C23×Dic8312yes—
1438C2×C4C23×Dic8312yes—
1439C2×C4C23×Dic8312yes—
1440C2×C4C23×Dic8312yes—
1441C2×C4C23×Dic8312yes—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22#41×Dic8314yes—
1470C22C24×Dic8311yescharacteristic
1471C22C2×#41×D8311yescharacteristic
1472C22C2×#41×D8311yescharacteristic
1473C22H(5,𝔽2)×D8311yescharacteristic
1474C22#1912853611yescharacteristic
1475C22#1912853711yescharacteristic
1476C22#1912853711yescharacteristic
1477C4—22no—
1478C4—22no—
1479C4—22no—
1480C4—22no—
1481C4—22no—
1482C4—22no—
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—3321no—
1489C4—3321no—
1490C4—3321no—
1491C4—3321no—
1492C4—3321no—
1493C4—3321no—
1494C4—3321no—
1495C4—3321no—
1496C4—3321no—
1497C4—3321no—
1498C4—3321no—
1499C4—1662no—
1500C4—1662no—
1501C4—1662no—
1502C4—1662no—
1503C4—1662no—
1504C2—24no—
1505C2—42no—
1506C2—42no—
1507C2—42no—
1508C2C2×#41×Dic8311yescharacteristic
1509C2#2492066611yescharacteristic
1510C2H(5,𝔽2)×Dic8311yescharacteristic
1511C2#2492129611yescharacteristic
1512C2#2492137911yescharacteristic
1513C2#2492139411yescharacteristic
1514C2#2492152211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
Fitting, prime radicalC2×#553×C83C2
socle, cosocleC23×C83C25
hypercenterC2×#553D83
hypocenterC83#34325
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #24910599C2semidirect
2. #24910587C2semidirect
3. #24910587C2semidirect
4. #24910569C2semidirect
5. #24910515C2semidirect
6. #24910515C2semidirect
7. #24910515C2semidirect
8. #24910483C2semidirect
9. #24910459C2semidirect
10. #24910403C2semidirect
11. #24910403C2semidirect
12. #24910403C2semidirect
13. #24910392C2semidirect
14. #24910340C2semidirect
15. #24910323C2semidirect
16. #24910269C2semidirect
17. #24910257C2semidirect
18. #24910242C2semidirect
19. #24910230C2semidirect
20. #24910168C2semidirect
21. #24910168C2semidirect
22. #126×Dic83C2semidirect
23. #123×Dic83C2semidirect
24. #121×Dic83C2semidirect
25. #24909961C2semidirect
26. #24909908C2semidirect
27. C2×#19127587C2semidirect
28. #24909824C2semidirect
29. #24909824C2semidirect
30. C4×D4×Dic83C2semidirect
172. #553×C83C4semidirect
332. #126×C83C2×C4semidirect
333. #126×C83C2×C4semidirect
334. #125×C83C2×C4semidirect
335. #123×C83C2×C4semidirect
336. #123×C83C2×C4semidirect
337. #121×C83C2×C4semidirect
338. #121×C83C2×C4semidirect
339. #121×C83C2×C4semidirect
340. #121×C83C2×C4semidirect
341. C4×D4×C83C2×C4semidirect
342. C4×D4×C83C2×C4semidirect
343. C4×D4×C83C2×C4semidirect
344. C4×D4×C83C2×C4semidirect
345. #117×C83C2×C4semidirect
346. C2×C4⋊C4×C83C2×C4semidirect
789. C83#34325semidirect
790. #553Dic83semidirect
968. #126C2×Dic83semidirect
969. #126C2×Dic83semidirect
970. #125C2×Dic83semidirect
971. #123C2×Dic83semidirect
972. #123C2×Dic83semidirect
973. #121C2×Dic83semidirect
974. #121C2×Dic83semidirect
975. #121C2×Dic83semidirect
976. #121C2×Dic83semidirect
985. C4×D4C2×Dic83semidirect
986. C4×D4C2×Dic83semidirect
987. C4×D4C2×Dic83semidirect
988. C4×D4C2×Dic83semidirect
990. #117C2×Dic83semidirect
1008. C2×C4⋊C4C2×Dic83semidirect

Maximal subgroups

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

subgroupindex
#249105992
#249105872
#249105692
#249105152
#249104832
#249104592
#249104032
#249103922
#249103402
#249103232
#249102692
#249102572
#249102422
#249102302
#249101682
#126×Dic832
#123×Dic832
#121×Dic832
#249099612
#249099082
C2×#191275872
#249098242
C4×D4×Dic832
C2×#553×C832
#3432583