Finite Group Databasebeta

← #35570298

Subgroups — #35570298

Order 21248.

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#24910629C211yesmaximal, characteristic, complemented
2#24910620C211yesmaximal, characteristic, complemented
3#24910611C211yesmaximal, characteristic, complemented
4#24910599C211yesmaximal, characteristic, complemented
5#24910599C211yesmaximal, characteristic, complemented
6#24910563C211yesmaximal, characteristic, complemented
7#24910548C211yesmaximal, characteristic, complemented
8#24910538C211yesmaximal, characteristic, complemented
9#24910538C211yesmaximal, characteristic, complemented
10#24910505C211yesmaximal, characteristic, complemented
11#24910483C211yesmaximal, characteristic, complemented
12#24910483C211yesmaximal, characteristic, complemented
13#24910472C211yesmaximal, characteristic, complemented
14#24910472C211yesmaximal, characteristic, complemented
15#24910459C211yesmaximal, characteristic, complemented
16#24910278C211yesmaximal, characteristic, complemented
17#24910278C211yesmaximal, characteristic, complemented
18#24910269C211yesmaximal, characteristic, complemented
19#24910257C211yesmaximal, characteristic, complemented
20#24910230C211yesmaximal, characteristic, complemented
21#24910230C211yesmaximal, characteristic, complemented
22#24910221C211yesmaximal, characteristic, complemented
23#24910221C211yesmaximal, characteristic, complemented
24#24910168C211yesmaximal, characteristic, complemented
25#24910147C211yesmaximal, characteristic, complemented
26#24910135C211yesmaximal, characteristic, complemented
27#24910135C211yesmaximal, characteristic, complemented
28C22⋊Q8×Dic83C211yesmaximal, characteristic, complemented
29#123×Dic83C211yesmaximal, characteristic, complemented
30#121×Dic83C211yesmaximal, characteristic, complemented
31C2×#562×C83C211yesmaximal, characteristic
32C2×Q8×Dic83C2211yescharacteristic
33C2×Q8×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#19127608C2211yescharacteristic
45#19127608C2211yescharacteristic
46#19127608C2211yescharacteristic
47#19127608C2211yescharacteristic
48#19127608C2211yescharacteristic
49#19127608C2211yescharacteristic
50#19127604C2211yescharacteristic
51#19127604C2211yescharacteristic
52#19127604C2211yescharacteristic
53#19127604C2211yescharacteristic
54#19127604C2211yescharacteristic
55#19127604C2211yescharacteristic
56#19127600C2211yescharacteristic
57#19127600C2211yescharacteristic
58#19127600C2211yescharacteristic
59#19127600C2211yescharacteristic
60#19127600C2211yescharacteristic
61#19127600C2211yescharacteristic
62#19127600C2211yescharacteristic
63#19127600C2211yescharacteristic
64#19127600C2211yescharacteristic
65#19127600C2211yescharacteristic
66#19127594C2211yescharacteristic
67#19127594C2211yescharacteristic
68#19127594C2211yescharacteristic
69#19127594C2211yescharacteristic
70#19127594C2211yescharacteristic
71#19127594C2211yescharacteristic
72#19127594C2211yescharacteristic
73#19127594C2211yescharacteristic
74#19127594C2211yescharacteristic
75#19127594C2211yescharacteristic
76#19127594C2211yescharacteristic
77#19127594C2211yescharacteristic
78#19127594C2211yescharacteristic
79#19127594C2211yescharacteristic
80#19127594C2211yescharacteristic
81#19127594C2211yescharacteristic
82#19127594C2211yescharacteristic
83#19127594C2211yescharacteristic
84#19127594C2211yescharacteristic
85#19127594C2211yescharacteristic
86#19127594C2211yescharacteristic
87#19127594C2211yescharacteristic
88#19127594C2211yescharacteristic
89#19127594C2211yescharacteristic
90#19127587C2211yescharacteristic
91#19127587C2211yescharacteristic
92#19127587C2211yescharacteristic
93#19127587C2211yescharacteristic
94#19127587C2211yescharacteristic
95#19127587C2211yescharacteristic
96#19127587C2211yescharacteristic
97#19127587C2211yescharacteristic
98#19127587C2211yescharacteristic
99#19127587C2211yescharacteristic
100#19127587C2211yescharacteristic
101#19127587C2211yescharacteristic
102#19127587C2211yescharacteristic
103#19127587C2211yescharacteristic
104#19127587C2211yescharacteristic
105#19127587C2211yescharacteristic
106#19127587C2211yescharacteristic
107#19127587C2211yescharacteristic
108#19127587C2211yescharacteristic
109#19127587C2211yescharacteristic
110#19127581C2211yescharacteristic
111#19127581C2211yescharacteristic
112#19127581C2211yescharacteristic
113#19127581C2211yescharacteristic
114#19127581C2211yescharacteristic
115#19127581C2211yescharacteristic
116#19127581C2211yescharacteristic
117#19127581C2211yescharacteristic
118#19127581C2211yescharacteristic
119#19127581C2211yescharacteristic
120#19127581C2211yescharacteristic
121#19127581C2211yescharacteristic
122#19127576C2211yescharacteristic
123#19127576C2211yescharacteristic
124#19127576C2211yescharacteristic
125#19127576C2211yescharacteristic
126#19127576C2211yescharacteristic
127#19127576C2211yescharacteristic
128#19127576C2211yescharacteristic
129#19127576C2211yescharacteristic
130#19127576C2211yescharacteristic
131#19127576C2211yescharacteristic
132#19127576C2211yescharacteristic
133#19127576C2211yescharacteristic
134#19127569C2211yescharacteristic
135#19127564C2211yescharacteristic
136#19127564C2211yescharacteristic
137#19127564C2211yescharacteristic
138#19127561C2211yescharacteristic
139#19127561C2211yescharacteristic
140#19127561C2211yescharacteristic
141C4⋊C4×Dic83C2211yescharacteristic
142C4⋊C4×Dic83C2211yescharacteristic
143C4⋊C4×Dic83C2211yescharacteristic
144C4⋊C4×Dic83C2211yescharacteristic
145C4⋊C4×Dic83C2211yescharacteristic
146C4⋊C4×Dic83C2211yescharacteristic
147C4⋊C4×Dic83C2211yescharacteristic
148C4⋊C4×Dic83C2211yescharacteristic
149C4⋊C4×Dic83C2211yescharacteristic
150C4⋊C4×Dic83C2211yescharacteristic
151C4×C4⋊Dic83C2211yescharacteristic
152C4×C4⋊Dic83C2211yescharacteristic
153C4×C4⋊Dic83C2211yescharacteristic
154C22⋊C4×Dic83C2211yescharacteristic
155C22⋊C4×Dic83C2211yescharacteristic
156C22⋊C4×Dic83C2211yescharacteristic
157C22⋊C4×Dic83C2211yescharacteristic
158C22⋊C4×Dic83C2211yescharacteristic
159C22⋊C4×Dic83C2211yescharacteristic
160C22⋊C4×Dic83C2211yescharacteristic
161C22⋊C4×Dic83C2211yescharacteristic
162C22⋊C4×Dic83C2211yescharacteristic
163C22⋊C4×Dic83C2211yescharacteristic
164C22⋊C4×Dic83C2211yescharacteristic
165C22⋊C4×Dic83C2211yescharacteristic
166C4×C22⋊Dic83C2211yescharacteristic
167C4×C22⋊Dic83C2211yescharacteristic
168C4×C22⋊Dic83C2211yescharacteristic
169C4×C22⋊Dic83C2211yescharacteristic
170C4×C22⋊Dic83C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172#562×C83C4116yescomplemented
173C2×#125×C83C2211yescharacteristic
174C2×#124×C83C2211yescharacteristic
175C2×#124×C83C2211yescharacteristic
176C2×#123×C83C2211yescharacteristic
177C2×#123×C83C2211yescharacteristic
178C2×#123×C83C2211yescharacteristic
179C2×#123×C83C2211yescharacteristic
180C2×C22⋊Q8×C83C2211yescharacteristic
181C2×C22⋊Q8×C83C2211yescharacteristic
182C2×C22⋊Q8×C83C2211yescharacteristic
183C2×C22⋊Q8×C83C2211yescharacteristic
184C2×#121×C83C2211yescharacteristic
185C2×#121×C83C2211yescharacteristic
186C2×#121×C83C2211yescharacteristic
187C2×#121×C83C2211yescharacteristic
188C23×Dic83C2311yescharacteristic
189C23×Dic83C2311yescharacteristic
190C23×Dic83C2311yescharacteristic
191C23×Dic83C2311yescharacteristic
192C23×Dic83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196Q8×Dic83—42no—
197Q8×Dic83—42no—
198D4×Dic83—42no—
199D4×Dic83—42no—
200D4×Dic83—42no—
201D4×Dic83—42no—
202D4×Dic83—42no—
203D4×Dic83—42no—
204#14581751—42no—
205C2×C4⋊Dic83—42no—
206C2×C4⋊Dic83—42no—
207C2×C4⋊Dic83C2311yescharacteristic
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×C4⋊Dic83C2311yescharacteristic
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊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×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C4×Dic83—42no—
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
272C2×C4×Dic83C2311yescharacteristic
273C2×C4×Dic83C2311yescharacteristic
274C2×C4×Dic83C2311yescharacteristic
275C2×C4×Dic83C2311yescharacteristic
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×Q8×C83C2311yescharacteristic
321C22×Q8×C83C2311yescharacteristic
322C22×D4×C83C2311yescharacteristic
323C22×D4×C83C2311yescharacteristic
324C22×D4×C83C2311yescharacteristic
325C22×D4×C83C2311yescharacteristic
326C22×D4×C83C2311yescharacteristic
327C22×D4×C83C2311yescharacteristic
328C23×C4×C83C2311yescharacteristic
329C23×C4×C83C2311yescharacteristic
330C23×C4×C83C2311yescharacteristic
331C23×C4×C83C2311yescharacteristic
332#125×C83C2×C418yescomplemented
333#124×C83C2×C418yescomplemented
334#124×C83C2×C418yescomplemented
335#123×C83C2×C418yescomplemented
336#123×C83C2×C418yescomplemented
337#123×C83C2×C418yescomplemented
338#123×C83C2×C418yescomplemented
339C22⋊Q8×C83C2×C418yescomplemented
340C22⋊Q8×C83C2×C418yescomplemented
341C22⋊Q8×C83C2×C418yescomplemented
342C22⋊Q8×C83C2×C418yescomplemented
343#121×C83C2×C418yescomplemented
344#121×C83C2×C418yescomplemented
345#121×C83C2×C418yescomplemented
346#121×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×C22⋊C4×C83C2311yescharacteristic
368C2×C22⋊C4×C83C2311yescharacteristic
369C2×C42×C83C2311yescharacteristic
370C22×Dic83—22no—
371C22×Dic83—22no—
372C22×Dic83—22no—
373C22×Dic83—22no—
374C22×Dic83—22no—
375C22×Dic83—22no—
376C22×Dic83—41no—
377C22×Dic83—41no—
378C22×Dic83—41no—
379C22×Dic83—41no—
380C22×Dic83—41no—
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×Dic83C2411yescharacteristic
395C22×Dic83C2411yescharacteristic
396C22×Dic83C2411yescharacteristic
397C22×Dic83C2411yescharacteristic
398C22×Dic83C2411yescharacteristic
399C22×Dic83C2411yescharacteristic
400C22×Dic83C2411yescharacteristic
401C22×Dic83C2411yescharacteristic
402C22×Dic83C2411yescharacteristic
403C22×Dic83C2411yescharacteristic
404C22×Dic83C2411yescharacteristic
405C22×Dic83C2411yescharacteristic
406C22×Dic83C2411yescharacteristic
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C4⋊Dic83—22no—
411C4⋊Dic83—22no—
412C4⋊Dic83—22no—
413C4⋊Dic83—22no—
414C4⋊Dic83—22no—
415C4⋊Dic83—22no—
416C4⋊Dic83—22no—
417C4⋊Dic83—22no—
418C4⋊Dic83—41no—
419C4⋊Dic83—41no—
420C4⋊Dic83—41no—
421C4⋊Dic83—41no—
422C4⋊Dic83—41no—
423C4⋊Dic83—41no—
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—41no—
439C22⋊Dic83—41no—
440C22⋊Dic83—41no—
441C22⋊Dic83—41no—
442C22⋊Dic83—41no—
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—41no—
454C22⋊Dic83—41no—
455C22⋊Dic83—41no—
456C4×Dic83—22no—
457C4×Dic83—22no—
458C4×Dic83—22no—
459C4×Dic83—41no—
460C4×Dic83—41no—
461C4×Dic83—41no—
462C4×Dic83—41no—
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×Q8×C83—41no—
483C2×Q8×C83—41no—
484C2×Q8×C83—41no—
485C2×Q8×C83—41no—
486C2×Q8×C83C22×C414yes—
487C2×Q8×C83C22×C414yes—
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×C83—41no—
495C2×D4×C83—41no—
496C2×D4×C83—41no—
497C2×D4×C83—41no—
498C2×D4×C83—41no—
499C2×D4×C83—41no—
500C2×D4×C83C22×C414yes—
501C2×D4×C83C22×C414yes—
502C2×D4×C83C22×C414yes—
503C2×D4×C83C22×C414yes—
504C2×D4×C83C22×C414yes—
505C2×D4×C83C22×C414yes—
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×C83—41no—
513C22×C4×C83—41no—
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—
549C22⋊C4×C83C22×C414yes—
550C22⋊C4×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×C83—21no—
575C23×C83—21no—
576C23×C83C23×C412yes—
577C23×C83C23×C412yes—
578C23×C83C23×C412yes—
579C23×C83C23×C412yes—
580C23×C83C2511yescharacteristic
581Q8×C83—44no—
582Q8×C83—44no—
583D4×C83—44no—
584D4×C83—44no—
585D4×C83—44no—
586D4×C83—44no—
587D4×C83—44no—
588D4×C83—44no—
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—21no—
610C2×C4×C83—21no—
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—21no—
670C2×Dic83—21no—
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×Dic83H(5,𝔽2)12yes—
680C2×Dic83H(5,𝔽2)12yes—
681C2×Dic832−1+412yes—
682C22×C83—22no—
683C22×C83—22no—
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—41no—
695C22×C83—41no—
696C22×C83—41no—
697C22×C83—41no—
698C22×C83—41no—
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×C83C24×C411yescharacteristic
711C22×C83C2×H(5,𝔽2)11yescharacteristic
712C22×C83C2×H(5,𝔽2)11yescharacteristic
713C22×C83C2×2−1+411yescharacteristic
714C22×C83#58511yescharacteristic
715C22×C83#58511yescharacteristic
716C22×C83#58511yescharacteristic
717C4×C83—22no—
718C4×C83—22no—
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—
728Dic83—22no—
729Dic83—22no—
730Dic83—22no—
731Dic83—41no—
732Dic83—41no—
733Dic83—41no—
734Dic83—41no—
735Dic83—41no—
736Dic83—41no—
737Dic83—41no—
738Dic83—41no—
739Dic83—41no—
740Dic83—41no—
741Dic83—41no—
742Dic83—41no—
743Dic83—41no—
744#34515—831nomaximal, Sylow
745C2×C83—42no—
746C2×C83—42no—
747C2×C83—42no—
748C2×C83—42no—
749C2×C83C4×H(5,𝔽2)11yescharacteristic
750C2×C83C4×H(5,𝔽2)11yescharacteristic
751C2×C83C4×2−1+411yescharacteristic
752C2×C83#353411yescharacteristic
753C2×C83#354111yescharacteristic
754C2×C83#355411yescharacteristic
755C2×C83#356611yescharacteristic
756C2×#562D8311yescharacteristic
757#2378—831no—
758#2377—831no—
759#2376—831no—
760#2374—831no—
761#2374—831no—
762#2370—831no—
763#2368—831no—
764#2367—831no—
765#2367—831no—
766#2363—831no—
767#2361—831no—
768#2361—831no—
769#2360—831no—
770#2360—831no—
771#2359—831no—
772#2337—831no—
773#2337—831no—
774#2336—831no—
775#2335—831no—
776#2333—831no—
777#2333—831no—
778#2332—831no—
779#2332—831no—
780#2325—831no—
781#2323—831no—
782#2322—831no—
783#2322—831no—
784C4×C22⋊Q8—831no—
785C4×#123—831no—
786C4×#121—831no—
787C83#3451511yescharacteristic, complemented, Sylow
788#562Dic83116yescomplemented
789C2×#125C2×D8311yescharacteristic
790C2×#124C2×D8311yescharacteristic
791C2×#124C2×D8311yescharacteristic
792C2×#123C2×D8311yescharacteristic
793C2×#123C2×D8311yescharacteristic
794C2×#123C2×D8311yescharacteristic
795C2×#123C2×D8311yescharacteristic
796C2×C22⋊Q8C2×D8311yescharacteristic
797C2×C22⋊Q8C2×D8311yescharacteristic
798C2×C22⋊Q8C2×D8311yescharacteristic
799C2×C22⋊Q8C2×D8311yescharacteristic
800C2×#121C2×D8311yescharacteristic
801C2×#121C2×D8311yescharacteristic
802C2×#121C2×D8311yescharacteristic
803C2×#121C2×D8311yescharacteristic
804C2×C4×Q8—831no—
805C2×C4×Q8—831no—
806C2×C4×D4—831no—
807C2×C4×D4—831no—
808C2×C4×D4—831no—
809C2×C4×D4—831no—
810C2×C4×D4—831no—
811C2×C4×D4—831no—
812C2×#117—831no—
813C22×C4⋊C4—831no—
814C22×C4⋊C4—831no—
815C22×C42—831no—
816#391—831no—
817#391—831no—
818#391—831no—
819#391—831no—
820#391—831no—
821#391—831no—
822#390—831no—
823#390—831no—
824#390—831no—
825#390—831no—
826#390—831no—
827#390—831no—
828#389—831no—
829#389—831no—
830#389—831no—
831#389—831no—
832#389—831no—
833#389—831no—
834#389—831no—
835#389—831no—
836#389—831no—
837#389—831no—
838#388—831no—
839#388—831no—
840#388—831no—
841#388—831no—
842#388—831no—
843#388—831no—
844#388—831no—
845#388—831no—
846#388—831no—
847#388—831no—
848#388—831no—
849#388—831no—
850#388—831no—
851#388—831no—
852#388—831no—
853#388—831no—
854#388—831no—
855#388—831no—
856#388—831no—
857#388—831no—
858#388—831no—
859#388—831no—
860#388—831no—
861#388—831no—
862#387—831no—
863#387—831no—
864#387—831no—
865#387—831no—
866#387—831no—
867#387—831no—
868#387—831no—
869#387—831no—
870#387—831no—
871#387—831no—
872#387—831no—
873#387—831no—
874#387—831no—
875#387—831no—
876#387—831no—
877#387—831no—
878#387—831no—
879#387—831no—
880#387—831no—
881#387—831no—
882#386—831no—
883#386—831no—
884#386—831no—
885#386—831no—
886#386—831no—
887#386—831no—
888#386—831no—
889#386—831no—
890#386—831no—
891#386—831no—
892#386—831no—
893#386—831no—
894#385—831no—
895#385—831no—
896#385—831no—
897#385—831no—
898#385—831no—
899#385—831no—
900#385—831no—
901#385—831no—
902#385—831no—
903#385—831no—
904#385—831no—
905#385—831no—
906#383—831no—
907#381—831no—
908#381—831no—
909#381—831no—
910#380—831no—
911#380—831no—
912#380—831no—
913C4×C4⋊C4—831no—
914C4×C4⋊C4—831no—
915C4×C4⋊C4—831no—
916C4×C4⋊C4—831no—
917C4×C4⋊C4—831no—
918C4×C4⋊C4—831no—
919C4×C4⋊C4—831no—
920C4×C4⋊C4—831no—
921C4×C4⋊C4—831no—
922C4×C4⋊C4—831no—
923C4×C4⋊C4—831no—
924C4×C4⋊C4—831no—
925C4×C4⋊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—
935C4×C22⋊C4—831no—
936C4×C22⋊C4—831no—
937C4×C22⋊C4—831no—
938C4×C22⋊C4—831no—
939C4×C22⋊C4—831no—
940C4×C22⋊C4—831no—
941C4×C22⋊C4—831no—
942C4×C22⋊C4—831no—
943C2×#95—831no—
944C22×Q8C22×D8311yescharacteristic
945C22×Q8C22×D8311yescharacteristic
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×C4C22×D8311yescharacteristic
961C23×C4C22×D8311yescharacteristic
962C23×C4C22×D8311yescharacteristic
963C23×C4C22×D8311yescharacteristic
964#125C2×Dic8318yescomplemented
965#124C2×Dic8318yescomplemented
966#124C2×Dic8318yescomplemented
967#123C2×Dic8318yescomplemented
968#123C2×Dic8318yescomplemented
969#123C2×Dic8318yescomplemented
970#123C2×Dic8318yescomplemented
971C22⋊Q8C2×Dic8318yescomplemented
972C22⋊Q8C2×Dic8318yescomplemented
973C22⋊Q8C2×Dic8318yescomplemented
974C22⋊Q8C2×Dic8318yescomplemented
975#121C2×Dic8318yescomplemented
976#121C2×Dic8318yescomplemented
977#121C2×Dic8318yescomplemented
978#121C2×Dic8318yescomplemented
979C4×Q8—3322no—
980C4×Q8—3322no—
981C4×D4—3322no—
982C4×D4—3322no—
983C4×D4—3322no—
984C4×D4—3322no—
985C4×D4—3322no—
986C4×D4—3322no—
987#117—3322no—
988C2×C4⋊C4—3322no—
989C2×C4⋊C4—3322no—
990C2×C4⋊C4—831no—
991C2×C4⋊C4—831no—
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⋊C4—831no—
1009C2×C4⋊C4—831no—
1010C2×C4⋊C4—831no—
1011C2×C4⋊C4—831no—
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×C4⋊C4C22×D8311yescharacteristic
1020C2×C4⋊C4C22×D8311yescharacteristic
1021C2×C4⋊C4C22×D8311yescharacteristic
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⋊C4—831no—
1042C2×C22⋊C4—831no—
1043C2×C22⋊C4—831no—
1044C2×C22⋊C4—831no—
1045C2×C22⋊C4—831no—
1046C2×C22⋊C4C22×D8311yescharacteristic
1047C2×C22⋊C4C22×D8311yescharacteristic
1048C2×C22⋊C4C22×D8311yescharacteristic
1049C2×C22⋊C4C22×D8311yescharacteristic
1050C2×C22⋊C4C22×D8311yescharacteristic
1051C2×C22⋊C4C22×D8311yescharacteristic
1052C2×C22⋊C4C22×D8311yescharacteristic
1053C2×C22⋊C4C22×D8311yescharacteristic
1054C2×C22⋊C4C22×D8311yescharacteristic
1055C2×C22⋊C4C22×D8311yescharacteristic
1056C2×C22⋊C4C22×D8311yescharacteristic
1057C2×C22⋊C4C22×D8311yescharacteristic
1058C2×C42—3322no—
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×C42—831no—
1078C2×C42—831no—
1079C2×C42—831no—
1080C2×C42—831no—
1081C2×C42C22×D8311yescharacteristic
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—
1126C24C23×D8311yescharacteristic
1127C24C23×D8311yescharacteristic
1128C24C23×D8311yescharacteristic
1129C24C23×D8311yescharacteristic
1130C2×Q8—41no—
1131C2×Q8—41no—
1132C2×Q8—41no—
1133C2×Q8—41no—
1134C2×Q8C22×Dic8314yes—
1135C2×Q8C22×Dic8314yes—
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×Dic8314yes—
1149C2×D4C22×Dic8314yes—
1150C2×D4C22×Dic8314yes—
1151C2×D4C22×Dic8314yes—
1152C2×D4C22×Dic8314yes—
1153C2×D4C22×Dic8314yes—
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—831no—
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—1662no—
1197C22×C4—1662no—
1198C22×C4—1662no—
1199C22×C4—1662no—
1200C22×C4—1662no—
1201C22×C4—1662no—
1202C22×C4C22×Dic8314yes—
1203C22×C4C22×Dic8314yes—
1204C22×C4C22×Dic8314yes—
1205C22×C4C22×Dic8314yes—
1206C22×C4C23×D8311yescharacteristic
1207C22×C4C23×D8311yescharacteristic
1208C22×C4C23×D8311yescharacteristic
1209C22×C4C23×D8311yescharacteristic
1210C22×C4C23×D8311yescharacteristic
1211C22×C4C23×D8311yescharacteristic
1212C22×C4C23×D8311yescharacteristic
1213C22×C4C23×D8311yescharacteristic
1214C22×C4C23×D8311yescharacteristic
1215C22×C4C23×D8311yescharacteristic
1216C22×C4C23×D8311yescharacteristic
1217C4⋊C4—3321no—
1218C4⋊C4—3321no—
1219C4⋊C4—3321no—
1220C4⋊C4—3321no—
1221C4⋊C4—3321no—
1222C4⋊C4—3321no—
1223C4⋊C4—3321no—
1224C4⋊C4—3321no—
1225C4⋊C4—3321no—
1226C4⋊C4—3321no—
1227C4⋊C4—3321no—
1228C4⋊C4—3321no—
1229C4⋊C4—3321no—
1230C4⋊C4—3321no—
1231C4⋊C4—1662no—
1232C4⋊C4—1662no—
1233C4⋊C4—1662no—
1234C4⋊C4—1662no—
1235C4⋊C4—1662no—
1236C4⋊C4—1662no—
1237C4⋊C4—1662no—
1238C4⋊C4—1662no—
1239C4⋊C4C22×Dic8314yes—
1240C4⋊C4C22×Dic8314yes—
1241C4⋊C4C22×Dic8314yes—
1242C4⋊C4C22×Dic8314yes—
1243C4⋊C4C22×Dic8314yes—
1244C4⋊C4C22×Dic8314yes—
1245C4⋊C4C22×Dic8314yes—
1246C4⋊C4C22×Dic8314yes—
1247C4⋊C4C22×Dic8314yes—
1248C4⋊C4C22×Dic8314yes—
1249C22⋊C4—3321no—
1250C22⋊C4—3321no—
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—3321no—
1262C22⋊C4—3321no—
1263C22⋊C4—3321no—
1264C22⋊C4—3321no—
1265C22⋊C4—3321no—
1266C22⋊C4—3321no—
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—
1283C22⋊C4C22×Dic8314yes—
1284C22⋊C4C22×Dic8314yes—
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—3321no—
1299C42—3321no—
1300C42—3321no—
1301C42—3321no—
1302C42—3321no—
1303C42—3321no—
1304C42—1662no—
1305C42—1662no—
1306C42—1662no—
1307C42C22×Dic8314yes—
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×Dic8312yes—
1333C23C23×Dic8312yes—
1334C23C23×Dic8312yes—
1335C23C23×Dic8312yes—
1336C23C24×D8311yescharacteristic
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—3324no—
1372C2×C4—3324no—
1373C2×C4—832no—
1374C2×C4—832no—
1375C2×C4—832no—
1376C2×C4—6642no—
1377C2×C4—6642no—
1378C2×C4—6642no—
1379C2×C4—6642no—
1380C2×C4—6642no—
1381C2×C4—6642no—
1382C2×C4—1661no—
1383C2×C4—1661no—
1384C2×C4—1661no—
1385C2×C4—1661no—
1386C2×C4—1661no—
1387C2×C4—1661no—
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×C4C23×Dic8312yes—
1428C2×C4C23×Dic8312yes—
1429C2×C4C23×Dic8312yes—
1430C2×C4C23×Dic8312yes—
1431C2×C4C23×Dic8312yes—
1432C2×C4C23×Dic8312yes—
1433C2×C4C23×Dic8312yes—
1434C2×C4C23×Dic8312yes—
1435C2×C4C23×Dic8312yes—
1436C2×C4C23×Dic8312yes—
1437C2×C4C23×Dic8312yes—
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×Dic8311yescharacteristic
1467C22H(5,𝔽2)×D8311yescharacteristic
1468C22H(5,𝔽2)×D8311yescharacteristic
1469C222−1+4×D8311yescharacteristic
1470C22#1912853611yescharacteristic
1471C22#1912853611yescharacteristic
1472C22#1912853811yescharacteristic
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—22no—
1479C4—22no—
1480C4—22no—
1481C4—22no—
1482C4—22no—
1483C4—22no—
1484C4—3321no—
1485C4—3321no—
1486C4—3321no—
1487C4—3321no—
1488C4—3321no—
1489C4—3321no—
1490C4—3321no—
1491C4—3321no—
1492C4—3321no—
1493C4—3321no—
1494C4—3321no—
1495C4—3321no—
1496C4—3321no—
1497C4—1662no—
1498C4—1662no—
1499C4—1662no—
1500C2—42no—
1501C2—42no—
1502C2—42no—
1503C2—42no—
1504C2H(5,𝔽2)×Dic8311yescharacteristic
1505C2H(5,𝔽2)×Dic8311yescharacteristic
1506C22−1+4×Dic8311yescharacteristic
1507C2#2492165511yescharacteristic
1508C2#2492174511yescharacteristic
1509C2#2492192511yescharacteristic
1510C2#2492212811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
Fitting, prime radicalC2×#562×C83C2
socle, cosocleC23×C83C25
hypercenterC2×#562D83
hypocenterC83#34515
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #24910629C2semidirect
2. #24910620C2semidirect
3. #24910611C2semidirect
4. #24910599C2semidirect
5. #24910599C2semidirect
6. #24910563C2semidirect
7. #24910548C2semidirect
8. #24910538C2semidirect
9. #24910538C2semidirect
10. #24910505C2semidirect
11. #24910483C2semidirect
12. #24910483C2semidirect
13. #24910472C2semidirect
14. #24910472C2semidirect
15. #24910459C2semidirect
16. #24910278C2semidirect
17. #24910278C2semidirect
18. #24910269C2semidirect
19. #24910257C2semidirect
20. #24910230C2semidirect
21. #24910230C2semidirect
22. #24910221C2semidirect
23. #24910221C2semidirect
24. #24910168C2semidirect
25. #24910147C2semidirect
26. #24910135C2semidirect
27. #24910135C2semidirect
28. C22⋊Q8×Dic83C2semidirect
29. #123×Dic83C2semidirect
30. #121×Dic83C2semidirect
172. #562×C83C4semidirect
332. #125×C83C2×C4semidirect
333. #124×C83C2×C4semidirect
334. #124×C83C2×C4semidirect
335. #123×C83C2×C4semidirect
336. #123×C83C2×C4semidirect
337. #123×C83C2×C4semidirect
338. #123×C83C2×C4semidirect
339. C22⋊Q8×C83C2×C4semidirect
340. C22⋊Q8×C83C2×C4semidirect
341. C22⋊Q8×C83C2×C4semidirect
342. C22⋊Q8×C83C2×C4semidirect
343. #121×C83C2×C4semidirect
344. #121×C83C2×C4semidirect
345. #121×C83C2×C4semidirect
346. #121×C83C2×C4semidirect
787. C83#34515semidirect
788. #562Dic83semidirect
964. #125C2×Dic83semidirect
965. #124C2×Dic83semidirect
966. #124C2×Dic83semidirect
967. #123C2×Dic83semidirect
968. #123C2×Dic83semidirect
969. #123C2×Dic83semidirect
970. #123C2×Dic83semidirect
971. C22⋊Q8C2×Dic83semidirect
972. C22⋊Q8C2×Dic83semidirect
973. C22⋊Q8C2×Dic83semidirect
974. C22⋊Q8C2×Dic83semidirect
975. #121C2×Dic83semidirect
976. #121C2×Dic83semidirect
977. #121C2×Dic83semidirect
978. #121C2×Dic83semidirect

Maximal subgroups

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

subgroupindex
#249106292
#249106202
#249106112
#249105992
#249105632
#249105482
#249105382
#249105052
#249104832
#249104722
#249104592
#249102782
#249102692
#249102572
#249102302
#249102212
#249101682
#249101472
#249101352
C22⋊Q8×Dic832
#123×Dic832
#121×Dic832
C2×#562×C832
#3451583