Finite Group Databasebeta

← #35569255

Subgroups — #35569255

Order 21248.

2372 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24910644C211yesmaximal, characteristic, complemented
2#24910629C211yesmaximal, characteristic, complemented
3#24910620C211yesmaximal, characteristic, complemented
4#24910611C211yesmaximal, characteristic, complemented
5#24910599C211yesmaximal, characteristic, complemented
6#24910548C211yesmaximal, characteristic, complemented
7#24910515C211yesmaximal, characteristic, complemented
8#24910459C211yesmaximal, characteristic, complemented
9#24910459C211yesmaximal, characteristic, complemented
10#24910403C211yesmaximal, characteristic, complemented
11#24910403C211yesmaximal, characteristic, complemented
12#24910340C211yesmaximal, characteristic, complemented
13#24910332C211yesmaximal, characteristic, complemented
14#24910293C211yesmaximal, characteristic, complemented
15#24910293C211yesmaximal, characteristic, complemented
16#24910257C211yesmaximal, characteristic, complemented
17#24910257C211yesmaximal, characteristic, complemented
18#24910230C211yesmaximal, characteristic, complemented
19#24910221C211yesmaximal, characteristic, complemented
20#24910212C211yesmaximal, characteristic, complemented
21#24910198C211yesmaximal, characteristic, complemented
22#24910168C211yesmaximal, characteristic, complemented
23#24910135C211yesmaximal, characteristic, complemented
24#24910096C211yesmaximal, characteristic, complemented
25#24910096C211yesmaximal, characteristic, complemented
26#24910066C211yesmaximal, characteristic, complemented
27#24910055C211yesmaximal, characteristic, complemented
28#123×Dic83C211yesmaximal, characteristic, complemented
29#24909954C211yesmaximal, characteristic, complemented
30C2×#19127587C211yesmaximal, characteristic, complemented
31C2×#547×C83C211yesmaximal, characteristic
32C2×D4×Dic83C2211yescharacteristic
33C2×D4×Dic83C2211yescharacteristic
34C2×D4×Dic83C2211yescharacteristic
35C2×D4×Dic83C2211yescharacteristic
36C2×#14581751C2211yescharacteristic
37C2×#14581751C2211yescharacteristic
38C22×C4⋊Dic83C2211yescharacteristic
39C22×C4×Dic83C2211yescharacteristic
40#19127608C2211yescharacteristic
41#19127608C2211yescharacteristic
42#19127608C2211yescharacteristic
43#19127608C2211yescharacteristic
44#19127608C2211yescharacteristic
45#19127608C2211yescharacteristic
46#19127608C2211yescharacteristic
47#19127608C2211yescharacteristic
48#19127604C2211yescharacteristic
49#19127604C2211yescharacteristic
50#19127604C2211yescharacteristic
51#19127604C2211yescharacteristic
52#19127600C2211yescharacteristic
53#19127600C2211yescharacteristic
54#19127600C2211yescharacteristic
55#19127600C2211yescharacteristic
56#19127600C2211yescharacteristic
57#19127600C2211yescharacteristic
58#19127594C2211yescharacteristic
59#19127594C2211yescharacteristic
60#19127594C2211yescharacteristic
61#19127594C2211yescharacteristic
62#19127594C2211yescharacteristic
63#19127594C2211yescharacteristic
64#19127594C2211yescharacteristic
65#19127594C2211yescharacteristic
66#19127594C2211yescharacteristic
67#19127594C2211yescharacteristic
68#19127594C2211yescharacteristic
69#19127594C2211yescharacteristic
70#19127594C2211yescharacteristic
71#19127594C2211yescharacteristic
72#19127594C2211yescharacteristic
73#19127594C2211yescharacteristic
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#19127587C2211yescharacteristic
95#19127587C2211yescharacteristic
96#19127587C2211yescharacteristic
97#19127587C2211yescharacteristic
98#19127587C2211yescharacteristic
99#19127587C2211yescharacteristic
100#19127587C2211yescharacteristic
101#19127587C2211yescharacteristic
102#19127581C2211yescharacteristic
103#19127581C2211yescharacteristic
104#19127581C2211yescharacteristic
105#19127581C2211yescharacteristic
106#19127581C2211yescharacteristic
107#19127581C2211yescharacteristic
108#19127581C2211yescharacteristic
109#19127581C2211yescharacteristic
110#19127581C2211yescharacteristic
111#19127581C2211yescharacteristic
112#19127581C2211yescharacteristic
113#19127581C2211yescharacteristic
114#19127581C2211yescharacteristic
115#19127581C2211yescharacteristic
116#19127581C2211yescharacteristic
117#19127581C2211yescharacteristic
118#19127576C2211yescharacteristic
119#19127576C2211yescharacteristic
120#19127576C2211yescharacteristic
121#19127576C2211yescharacteristic
122#19127576C2211yescharacteristic
123#19127576C2211yescharacteristic
124#19127576C2211yescharacteristic
125#19127576C2211yescharacteristic
126#19127569C2211yescharacteristic
127#19127569C2211yescharacteristic
128#19127567C2211yescharacteristic
129#19127564C2211yescharacteristic
130#19127564C2211yescharacteristic
131#19127564C2211yescharacteristic
132#19127564C2211yescharacteristic
133#19127564C2211yescharacteristic
134#19127564C2211yescharacteristic
135#19127561C2211yescharacteristic
136#19127561C2211yescharacteristic
137#19127561C2211yescharacteristic
138#19127561C2211yescharacteristic
139#19127561C2211yescharacteristic
140#19127561C2211yescharacteristic
141#19127561C2211yescharacteristic
142#19127561C2211yescharacteristic
143C4⋊C4×Dic83C2211yescharacteristic
144C4⋊C4×Dic83C2211yescharacteristic
145C4⋊C4×Dic83C2211yescharacteristic
146C4⋊C4×Dic83C2211yescharacteristic
147C4⋊C4×Dic83C2211yescharacteristic
148C4⋊C4×Dic83C2211yescharacteristic
149C22⋊C4×Dic83C2211yescharacteristic
150C22⋊C4×Dic83C2211yescharacteristic
151C22⋊C4×Dic83C2211yescharacteristic
152C22⋊C4×Dic83C2211yescharacteristic
153C22⋊C4×Dic83C2211yescharacteristic
154C22⋊C4×Dic83C2211yescharacteristic
155C22⋊C4×Dic83C2211yescharacteristic
156C22⋊C4×Dic83C2211yescharacteristic
157C4×C22⋊Dic83C2211yescharacteristic
158C4×C22⋊Dic83C2211yescharacteristic
159C4×C22⋊Dic83C2211yescharacteristic
160C4×C22⋊Dic83C2211yescharacteristic
161C4×C22⋊Dic83C2211yescharacteristic
162C4×C22⋊Dic83C2211yescharacteristic
163C4×C22⋊Dic83C2211yescharacteristic
164C4×C22⋊Dic83C2211yescharacteristic
165#19127547C2211yescharacteristic
166C2×C83⋊#95C2211yescharacteristic
167C2×C83⋊#95C2211yescharacteristic
168C2×C83⋊#95C2211yescharacteristic
169C2×C83⋊#95C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C22×#41×C83C2211yescharacteristic
173C22×#41×C83C2211yescharacteristic
174#547×C83C4116yescomplemented
175C2×C4⋊Q8×C83C2211yescharacteristic
176C2×#123×C83C2211yescharacteristic
177C2×#123×C83C2211yescharacteristic
178C2×#123×C83C2211yescharacteristic
179C2×#123×C83C2211yescharacteristic
180C2×C22⋊Q8×C83C2211yescharacteristic
181C2×C22⋊Q8×C83C2211yescharacteristic
182C2×#121×C83C2211yescharacteristic
183C2×#121×C83C2211yescharacteristic
184C2×C4×D4×C83C2211yescharacteristic
185C2×C4×D4×C83C2211yescharacteristic
186C22×C4⋊C4×C83C2211yescharacteristic
187C22×C4⋊C4×C83C2211yescharacteristic
188C23×Dic83C2311yescharacteristic
189C23×Dic83C2311yescharacteristic
190C23×Dic83C2311yescharacteristic
191C23×Dic83C2311yescharacteristic
192C23×Dic83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196D4×Dic83—42no—
197D4×Dic83—42no—
198D4×Dic83—42no—
199D4×Dic83—42no—
200#14581751—42no—
201#14581751—42no—
202C2×C4⋊Dic83—42no—
203C2×C4⋊Dic83C2311yescharacteristic
204C2×C4⋊Dic83C2311yescharacteristic
205C2×C4⋊Dic83C2311yescharacteristic
206C2×C4⋊Dic83C2311yescharacteristic
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×C22⋊Dic83C2311yescharacteristic
222C2×C22⋊Dic83C2311yescharacteristic
223C2×C22⋊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×C4×Dic83—42no—
246C2×C4×Dic83C2311yescharacteristic
247C2×C4×Dic83C2311yescharacteristic
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
264C83⋊#95C2311yescharacteristic
265C83⋊#95C2311yescharacteristic
266C83⋊#95C2311yescharacteristic
267C83⋊#95C2311yescharacteristic
268C83⋊#95C2311yescharacteristic
269C83⋊#95C2311yescharacteristic
270C83⋊#95C2311yescharacteristic
271C83⋊#95C2311yescharacteristic
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
316C2×#41×C83—42no—
317C2×#41×C83—42no—
318C2×#41×C83—42no—
319C2×#41×C83—42no—
320C2×#41×C83C2×C418yescomplemented
321C2×#41×C83C2×C418yescomplemented
322C22×Q8×C83C2311yescharacteristic
323C22×Q8×C83C2311yescharacteristic
324C22×D4×C83C2311yescharacteristic
325C22×D4×C83C2311yescharacteristic
326C22×D4×C83C2311yescharacteristic
327C22×D4×C83C2311yescharacteristic
328C22×D4×C83C2311yescharacteristic
329C22×D4×C83C2311yescharacteristic
330C23×C4×C83C2311yescharacteristic
331C23×C4×C83C2311yescharacteristic
332C23×C4×C83C2311yescharacteristic
333C23×C4×C83C2311yescharacteristic
334C23×C4×C83C2311yescharacteristic
335C23×C4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337C23×C4×C83C2311yescharacteristic
338C4⋊Q8×C83C2×C418yescomplemented
339#123×C83C2×C418yescomplemented
340#123×C83C2×C418yescomplemented
341#123×C83C2×C418yescomplemented
342#123×C83C2×C418yescomplemented
343C22⋊Q8×C83C2×C418yescomplemented
344C22⋊Q8×C83C2×C418yescomplemented
345#121×C83C2×C418yes—
346#121×C83C2×C418yescomplemented
347C4×D4×C83C2×C418yescomplemented
348C4×D4×C83C2×C418yescomplemented
349C2×C4⋊C4×C83C2×C418yescomplemented
350C2×C4⋊C4×C83C2×C418yescomplemented
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×C4⋊C4×C83C2311yescharacteristic
358C2×C4⋊C4×C83C2311yescharacteristic
359C2×C4⋊C4×C83C2311yescharacteristic
360C2×C4⋊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—41no—
411C4⋊Dic83—41no—
412C4⋊Dic83—41no—
413C4⋊Dic83—41no—
414C4⋊Dic83—41no—
415C4⋊Dic83—41no—
416C4⋊Dic83—41no—
417C4⋊Dic83—41no—
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—
428C22⋊Dic83—22no—
429C22⋊Dic83—22no—
430C22⋊Dic83—22no—
431C22⋊Dic83—22no—
432C22⋊Dic83—22no—
433C22⋊Dic83—22no—
434C22⋊Dic83—41no—
435C22⋊Dic83—41no—
436C22⋊Dic83—41no—
437C22⋊Dic83—41no—
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—
452C4×Dic83—22no—
453C4×Dic83—41no—
454C4×Dic83—41no—
455C4×Dic83—41no—
456C4×Dic83—41no—
457C4×Dic83—41no—
458C4×Dic83—41no—
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—
470C24×C83C2411yescharacteristic
471C24×C83C2411yescharacteristic
472C24×C83C2411yescharacteristic
473C24×C83C2411yescharacteristic
474#41×C83—416no—
475#41×C83—416no—
476C2×Q8×C83—41no—
477C2×Q8×C83—41no—
478C2×Q8×C83—41no—
479C2×Q8×C83—41no—
480C2×Q8×C83C22×C414yes—
481C2×Q8×C83C22×C414yes—
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—22no—
501C22×C4×C83—22no—
502C22×C4×C83—22no—
503C22×C4×C83—22no—
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×C83—41no—
513C22×C4×C83—41no—
514C22×C4×C83—41no—
515C22×C4×C83—41no—
516C22×C4×C83C22×C414yes—
517C22×C4×C83C22×C414yes—
518C22×C4×C83C22×C414yes—
519C22×C4×C83C22×C414yes—
520C22×C4×C83C22×C414yes—
521C22×C4×C83C22×C414yes—
522C22×C4×C83C22×C414yes—
523C22×C4×C83C22×C414yes—
524C22×C4×C83C2411yescharacteristic
525C22×C4×C83C2411yescharacteristic
526C22×C4×C83C2411yescharacteristic
527C22×C4×C83C2411yescharacteristic
528C22×C4×C83C2411yescharacteristic
529C22×C4×C83C2411yescharacteristic
530C22×C4×C83C2411yescharacteristic
531C22×C4×C83C2411yescharacteristic
532C22×C4×C83C2411yescharacteristic
533C22×C4×C83C2411yescharacteristic
534C22×C4×C83C2411yescharacteristic
535C4⋊C4×C83C22×C414yes—
536C4⋊C4×C83C22×C414yes—
537C4⋊C4×C83C22×C414yes—
538C4⋊C4×C83C22×C414yes—
539C4⋊C4×C83C22×C414yes—
540C4⋊C4×C83C22×C414yes—
541C4⋊C4×C83C22×C414yes—
542C4⋊C4×C83C22×C414yes—
543C4⋊C4×C83C22×C414yes—
544C4⋊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—
551C22⋊C4×C83C22×C414yes—
552C22⋊C4×C83C22×C414yes—
553C42×C83C22×C414yes—
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×C83H(5,𝔽2)12yes—
581C23×C83H(5,𝔽2)12yes—
582C23×C83C2511yescharacteristic
583Q8×C83—44no—
584Q8×C83—44no—
585D4×C83—28no—
586D4×C83—28no—
587D4×C83—28no—
588D4×C83—44no—
589D4×C83—44no—
590D4×C83—44no—
591C2×C4×C83—28no—
592C2×C4×C83—28no—
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—21no—
612C2×C4×C83—21no—
613C2×C4×C83—21no—
614C2×C4×C83—21no—
615C2×C4×C83—44no—
616C2×C4×C83—44no—
617C2×C4×C83—44no—
618C2×C4×C83—44no—
619C2×C4×C83—44no—
620C2×C4×C83—44no—
621C2×C4×C83C23×C412yes—
622C2×C4×C83C23×C412yes—
623C2×C4×C83C23×C412yes—
624C2×C4×C83C23×C412yes—
625C2×C4×C83C23×C412yes—
626C2×C4×C83C23×C412yes—
627C2×C4×C83C23×C412yes—
628C2×C4×C83C23×C412yes—
629C2×C4×C83C23×C412yes—
630C2×C4×C83C23×C412yes—
631C2×C4×C83C23×C412yes—
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—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—44no—
680C2×Dic83—44no—
681C2×Dic83—82no—
682C2×Dic83—82no—
683C2×Dic83—82no—
684C2×Dic83—82no—
685C2×Dic83—82no—
686C2×Dic83—82no—
687C2×Dic832−1+412yes—
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—22no—
700C22×C83—22no—
701C22×C83—22no—
702C22×C83—22no—
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×C83—41no—
712C22×C83—41no—
713C22×C83—41no—
714C22×C83—41no—
715C22×C83#51814yes—
716C22×C83C24×C411yescharacteristic
717C22×C83C2×H(5,𝔽2)11yescharacteristic
718C22×C83C2×H(5,𝔽2)11yescharacteristic
719C22×C83C2×2−1+411yescharacteristic
720C22×C83#58511yescharacteristic
721C22×C83#58511yescharacteristic
722C22×C83#58511yescharacteristic
723C4×C83—22no—
724C4×C83—22no—
725C4×C83—22no—
726C4×C83—22no—
727C4×C83—22no—
728C4×C83—22no—
729C4×C83—22no—
730C4×C83—22no—
731C4×C83—22no—
732C4×C83—22no—
733C4×C83—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—
746Dic83—41no—
747Dic83—41no—
748Dic83—41no—
749Dic83—41no—
750#34469—831nomaximal, Sylow
751C2×C83—24no—
752C2×C83—42no—
753C2×C83—42no—
754C2×C83—42no—
755C2×C83C2×#51811yescharacteristic
756C2×C83#342811yescharacteristic
757C2×C83C4×2−1+411yescharacteristic
758C2×C83#353311yescharacteristic
759C2×C83#353511yescharacteristic
760C2×C83#355911yescharacteristic
761C2×C83#356011yescharacteristic
762C2×#547D8311yescharacteristic
763#2381—831no—
764#2378—831no—
765#2377—831no—
766#2376—831no—
767#2374—831no—
768#2368—831no—
769#2364—831no—
770#2359—831no—
771#2359—831no—
772#2353—831no—
773#2353—831no—
774#2345—831no—
775#2344—831no—
776#2339—831no—
777#2339—831no—
778#2335—831no—
779#2335—831no—
780#2333—831no—
781#2332—831no—
782#2331—831no—
783#2329—831no—
784#2325—831no—
785#2322—831no—
786#2318—831no—
787#2318—831no—
788#2313—831no—
789#2311—831no—
790C4×#123—831no—
791#2297—831no—
792C2×#387—831no—
793C83#3446911yescharacteristic, complemented, Sylow
794C22×#41C2×D8311yescharacteristic
795C22×#41C2×D8311yescharacteristic
796#547Dic83116yescomplemented
797C2×C4⋊Q8C2×D8311yescharacteristic
798C2×#123C2×D8311yescharacteristic
799C2×#123C2×D8311yescharacteristic
800C2×#123C2×D8311yescharacteristic
801C2×#123C2×D8311yescharacteristic
802C2×C22⋊Q8C2×D8311yescharacteristic
803C2×C22⋊Q8C2×D8311yescharacteristic
804C2×#121C2×D8311yescharacteristic
805C2×#121C2×D8311yescharacteristic
806C2×C4×D4—831no—
807C2×C4×D4—831no—
808C2×C4×D4—831no—
809C2×C4×D4—831no—
810C2×C4×D4C2×D8311yescharacteristic
811C2×C4×D4C2×D8311yescharacteristic
812C2×#117—831no—
813C2×#117—831no—
814C22×C4⋊C4—831no—
815C22×C4⋊C4C2×D8311yescharacteristic
816C22×C4⋊C4C2×D8311yescharacteristic
817C22×C42—831no—
818#391—831no—
819#391—831no—
820#391—831no—
821#391—831no—
822#391—831no—
823#391—831no—
824#391—831no—
825#391—831no—
826#390—831no—
827#390—831no—
828#390—831no—
829#390—831no—
830#389—831no—
831#389—831no—
832#389—831no—
833#389—831no—
834#389—831no—
835#389—831no—
836#388—831no—
837#388—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#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#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#386—831no—
881#386—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#386—831no—
895#386—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#383—831no—
905#383—831no—
906#382—831no—
907#381—831no—
908#381—831no—
909#381—831no—
910#381—831no—
911#381—831no—
912#381—831no—
913#380—831no—
914#380—831no—
915#380—831no—
916#380—831no—
917#380—831no—
918#380—831no—
919#380—831no—
920#380—831no—
921C4×C4⋊C4—831no—
922C4×C4⋊C4—831no—
923C4×C4⋊C4—831no—
924C4×C4⋊C4—831no—
925C4×C4⋊C4—831no—
926C4×C4⋊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—
943#376—831no—
944C2×#95—831no—
945C2×#95—831no—
946C2×#95—831no—
947C2×#95—831no—
948C2×#95—831no—
949C2×#95—831no—
950C2×#41—42no—
951C2×#41—42no—
952C2×#41—42no—
953C2×#41—42no—
954C2×#41C2×Dic8318yescomplemented
955C2×#41C2×Dic8318yescomplemented
956C22×Q8C22×D8311yescharacteristic
957C22×Q8C22×D8311yescharacteristic
958C22×D4C22×D8311yescharacteristic
959C22×D4C22×D8311yescharacteristic
960C22×D4C22×D8311yescharacteristic
961C22×D4C22×D8311yescharacteristic
962C22×D4C22×D8311yescharacteristic
963C22×D4C22×D8311yescharacteristic
964C23×C4—831no—
965C23×C4—831no—
966C23×C4—831no—
967C23×C4—831no—
968C23×C4—831no—
969C23×C4—831no—
970C23×C4—831no—
971C23×C4—831no—
972C23×C4C22×D8311yescharacteristic
973C23×C4C22×D8311yescharacteristic
974C23×C4C22×D8311yescharacteristic
975C23×C4C22×D8311yescharacteristic
976C23×C4C22×D8311yescharacteristic
977C23×C4C22×D8311yescharacteristic
978C23×C4C22×D8311yescharacteristic
979C23×C4C22×D8311yescharacteristic
980C4⋊Q8C2×Dic8318yescomplemented
981#123C2×Dic8318yescomplemented
982#123C2×Dic8318yescomplemented
983#123C2×Dic8318yescomplemented
984#123C2×Dic8318yescomplemented
985C22⋊Q8C2×Dic8318yescomplemented
986C22⋊Q8C2×Dic8318yescomplemented
987#121C2×Dic8318yes—
988#121C2×Dic8318yescomplemented
989C4×D4—3322no—
990C4×D4—3322no—
991C4×D4—3322no—
992C4×D4—3322no—
993C4×D4C2×Dic8318yescomplemented
994C4×D4C2×Dic8318yescomplemented
995#117—3322no—
996#117—3322no—
997C2×C4⋊C4—3322no—
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⋊C4—831no—
1013C2×C4⋊C4—831no—
1014C2×C4⋊C4—831no—
1015C2×C4⋊C4—831no—
1016C2×C4⋊C4C2×Dic8318yescomplemented
1017C2×C4⋊C4C2×Dic8318yescomplemented
1018C2×C4⋊C4C22×D8311yescharacteristic
1019C2×C4⋊C4C22×D8311yescharacteristic
1020C2×C4⋊C4C22×D8311yescharacteristic
1021C2×C4⋊C4C22×D8311yescharacteristic
1022C2×C4⋊C4C22×D8311yescharacteristic
1023C2×C4⋊C4C22×D8311yescharacteristic
1024C2×C4⋊C4C22×D8311yescharacteristic
1025C2×C4⋊C4C22×D8311yescharacteristic
1026C2×C4⋊C4C22×D8311yescharacteristic
1027C2×C4⋊C4C22×D8311yescharacteristic
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⋊C4—831no—
1047C2×C22⋊C4—831no—
1048C2×C22⋊C4—831no—
1049C2×C22⋊C4—831no—
1050C2×C22⋊C4—831no—
1051C2×C22⋊C4—831no—
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×C22⋊C4C22×D8311yescharacteristic
1059C2×C22⋊C4C22×D8311yescharacteristic
1060C2×C42—3322no—
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×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—
1128#95—831no—
1129#95—831no—
1130#95—831no—
1131#95—831no—
1132C24C23×D8311yescharacteristic
1133C24C23×D8311yescharacteristic
1134C24C23×D8311yescharacteristic
1135C24C23×D8311yescharacteristic
1136#41—416no—
1137#41—416no—
1138C2×Q8—41no—
1139C2×Q8—41no—
1140C2×Q8—41no—
1141C2×Q8—41no—
1142C2×Q8C22×Dic8314yes—
1143C2×Q8C22×Dic8314yes—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4C22×Dic8314yes—
1157C2×D4C22×Dic8314yes—
1158C2×D4C22×Dic8314yes—
1159C2×D4C22×Dic8314yes—
1160C2×D4C22×Dic8314yes—
1161C2×D4C22×Dic8314yes—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—3321no—
1179C22×C4—3321no—
1180C22×C4—3321no—
1181C22×C4—3321no—
1182C22×C4—3321no—
1183C22×C4—3321no—
1184C22×C4—3321no—
1185C22×C4—3321no—
1186C22×C4—3321no—
1187C22×C4—3321no—
1188C22×C4—3321no—
1189C22×C4—3321no—
1190C22×C4—3321no—
1191C22×C4—3321no—
1192C22×C4—3321no—
1193C22×C4—3321no—
1194C22×C4—3321no—
1195C22×C4—3321no—
1196C22×C4—831no—
1197C22×C4—831no—
1198C22×C4—831no—
1199C22×C4—831no—
1200C22×C4—831no—
1201C22×C4—831no—
1202C22×C4—831no—
1203C22×C4—831no—
1204C22×C4—831no—
1205C22×C4—831no—
1206C22×C4—831no—
1207C22×C4—831no—
1208C22×C4—831no—
1209C22×C4—831no—
1210C22×C4—831no—
1211C22×C4—831no—
1212C22×C4—1662no—
1213C22×C4—1662no—
1214C22×C4—1662no—
1215C22×C4—1662no—
1216C22×C4—1662no—
1217C22×C4—1662no—
1218C22×C4C22×Dic8314yes—
1219C22×C4C22×Dic8314yes—
1220C22×C4C22×Dic8314yes—
1221C22×C4C22×Dic8314yes—
1222C22×C4C22×Dic8314yes—
1223C22×C4C22×Dic8314yes—
1224C22×C4C22×Dic8314yes—
1225C22×C4C22×Dic8314yes—
1226C22×C4C23×D8311yescharacteristic
1227C22×C4C23×D8311yescharacteristic
1228C22×C4C23×D8311yescharacteristic
1229C22×C4C23×D8311yescharacteristic
1230C22×C4C23×D8311yescharacteristic
1231C22×C4C23×D8311yescharacteristic
1232C22×C4C23×D8311yescharacteristic
1233C22×C4C23×D8311yescharacteristic
1234C22×C4C23×D8311yescharacteristic
1235C22×C4C23×D8311yescharacteristic
1236C22×C4C23×D8311yescharacteristic
1237C4⋊C4—3321no—
1238C4⋊C4—3321no—
1239C4⋊C4—3321no—
1240C4⋊C4—3321no—
1241C4⋊C4—3321no—
1242C4⋊C4—3321no—
1243C4⋊C4—3321no—
1244C4⋊C4—3321no—
1245C4⋊C4—3321no—
1246C4⋊C4—3321no—
1247C4⋊C4—3321no—
1248C4⋊C4—3321no—
1249C4⋊C4—3321no—
1250C4⋊C4—3321no—
1251C4⋊C4—3321no—
1252C4⋊C4—3321no—
1253C4⋊C4—3321no—
1254C4⋊C4—3321no—
1255C4⋊C4C22×Dic8314yes—
1256C4⋊C4C22×Dic8314yes—
1257C4⋊C4C22×Dic8314yes—
1258C4⋊C4C22×Dic8314yes—
1259C4⋊C4C22×Dic8314yes—
1260C4⋊C4C22×Dic8314yes—
1261C4⋊C4C22×Dic8314yes—
1262C4⋊C4C22×Dic8314yes—
1263C4⋊C4C22×Dic8314yes—
1264C4⋊C4C22×Dic8314yes—
1265C22⋊C4—3321no—
1266C22⋊C4—3321no—
1267C22⋊C4—3321no—
1268C22⋊C4—3321no—
1269C22⋊C4—3321no—
1270C22⋊C4—3321no—
1271C22⋊C4—3321no—
1272C22⋊C4—3321no—
1273C22⋊C4—3321no—
1274C22⋊C4—3321no—
1275C22⋊C4—3321no—
1276C22⋊C4—3321no—
1277C22⋊C4—3321no—
1278C22⋊C4—3321no—
1279C22⋊C4—3321no—
1280C22⋊C4—3321no—
1281C22⋊C4—3321no—
1282C22⋊C4—3321no—
1283C22⋊C4—1662no—
1284C22⋊C4—1662no—
1285C22⋊C4—1662no—
1286C22⋊C4—1662no—
1287C22⋊C4—1662no—
1288C22⋊C4—1662no—
1289C22⋊C4C22×Dic8314yes—
1290C22⋊C4C22×Dic8314yes—
1291C22⋊C4C22×Dic8314yes—
1292C22⋊C4C22×Dic8314yes—
1293C22⋊C4C22×Dic8314yes—
1294C22⋊C4C22×Dic8314yes—
1295C22⋊C4C22×Dic8314yes—
1296C22⋊C4C22×Dic8314yes—
1297C42—3321no—
1298C42—3321no—
1299C42—3321no—
1300C42—3321no—
1301C42—3321no—
1302C42—3321no—
1303C42—3321no—
1304C42—3321no—
1305C42—3321no—
1306C42—3321no—
1307C42—3321no—
1308C42—3321no—
1309C42—3321no—
1310C42—3321no—
1311C42—3321no—
1312C42—3321no—
1313C42—3321no—
1314C42—1662no—
1315C42C22×Dic8314yes—
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—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23C23×Dic8312yes—
1339C23C23×Dic8312yes—
1340C23C23×Dic8312yes—
1341C23C23×Dic8312yes—
1342C23#1458183712yes—
1343C23#1458183712yes—
1344C23C24×D8311yescharacteristic
1345Q8—44no—
1346Q8—44no—
1347D4—28no—
1348D4—28no—
1349D4—28no—
1350D4—44no—
1351D4—44no—
1352D4—44no—
1353C2×C4—28no—
1354C2×C4—28no—
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—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—44no—
1378C2×C4—44no—
1379C2×C4—44no—
1380C2×C4—44no—
1381C2×C4—44no—
1382C2×C4—44no—
1383C2×C4—3324no—
1384C2×C4—3324no—
1385C2×C4—832no—
1386C2×C4—6642no—
1387C2×C4—6642no—
1388C2×C4—6642no—
1389C2×C4—6642no—
1390C2×C4—6642no—
1391C2×C4—6642no—
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×C4—1661no—
1432C2×C4—1661no—
1433C2×C4—1661no—
1434C2×C4—1661no—
1435C2×C4—1661no—
1436C2×C4—1661no—
1437C2×C4—1661no—
1438C2×C4—1661no—
1439C2×C4C23×Dic8312yes—
1440C2×C4C23×Dic8312yes—
1441C2×C4C23×Dic8312yes—
1442C2×C4C23×Dic8312yes—
1443C2×C4C23×Dic8312yes—
1444C2×C4C23×Dic8312yes—
1445C2×C4C23×Dic8312yes—
1446C2×C4C23×Dic8312yes—
1447C2×C4C23×Dic8312yes—
1448C2×C4C23×Dic8312yes—
1449C2×C4C23×Dic8312yes—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22#1912817614yes—
1478C22C24×Dic8311yescharacteristic
1479C22C2×#1458183711yescharacteristic
1480C22C2×#1458183711yescharacteristic
1481C222−1+4×D8311yescharacteristic
1482C22#1912853711yescharacteristic
1483C22#1912853711yescharacteristic
1484C22#1912853811yescharacteristic
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—3321no—
1497C4—3321no—
1498C4—3321no—
1499C4—3321no—
1500C4—3321no—
1501C4—3321no—
1502C4—3321no—
1503C4—3321no—
1504C4—3321no—
1505C4—3321no—
1506C4—3321no—
1507C4—3321no—
1508C4—3321no—
1509C4—3321no—
1510C4—3321no—
1511C4—1662no—
1512C2—24no—
1513C2—42no—
1514C2—42no—
1515C2—42no—
1516C2C2×#1912817611yescharacteristic
1517C2#2492066611yescharacteristic
1518C22−1+4×Dic8311yescharacteristic
1519C2#2492163311yescharacteristic
1520C2#2492166411yescharacteristic
1521C2#2492198811yescharacteristic
1522C2#2492201111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
Fitting, prime radicalC2×#547×C83C2
socle, cosocleC23×C83C25
hypercenterC2×#547D83
hypocenterC83#34469
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. #24910644C2semidirect
2. #24910629C2semidirect
3. #24910620C2semidirect
4. #24910611C2semidirect
5. #24910599C2semidirect
6. #24910548C2semidirect
7. #24910515C2semidirect
8. #24910459C2semidirect
9. #24910459C2semidirect
10. #24910403C2semidirect
11. #24910403C2semidirect
12. #24910340C2semidirect
13. #24910332C2semidirect
14. #24910293C2semidirect
15. #24910293C2semidirect
16. #24910257C2semidirect
17. #24910257C2semidirect
18. #24910230C2semidirect
19. #24910221C2semidirect
20. #24910212C2semidirect
21. #24910198C2semidirect
22. #24910168C2semidirect
23. #24910135C2semidirect
24. #24910096C2semidirect
25. #24910096C2semidirect
26. #24910066C2semidirect
27. #24910055C2semidirect
28. #123×Dic83C2semidirect
29. #24909954C2semidirect
30. C2×#19127587C2semidirect
174. #547×C83C4semidirect
320. C2×#41×C83C2×C4semidirect
321. C2×#41×C83C2×C4semidirect
338. C4⋊Q8×C83C2×C4semidirect
339. #123×C83C2×C4semidirect
340. #123×C83C2×C4semidirect
341. #123×C83C2×C4semidirect
342. #123×C83C2×C4semidirect
343. C22⋊Q8×C83C2×C4semidirect
344. C22⋊Q8×C83C2×C4semidirect
346. #121×C83C2×C4semidirect
347. C4×D4×C83C2×C4semidirect
348. C4×D4×C83C2×C4semidirect
349. C2×C4⋊C4×C83C2×C4semidirect
350. C2×C4⋊C4×C83C2×C4semidirect
793. C83#34469semidirect
796. #547Dic83semidirect
954. C2×#41C2×Dic83semidirect
955. C2×#41C2×Dic83semidirect
980. C4⋊Q8C2×Dic83semidirect
981. #123C2×Dic83semidirect
982. #123C2×Dic83semidirect
983. #123C2×Dic83semidirect
984. #123C2×Dic83semidirect
985. C22⋊Q8C2×Dic83semidirect
986. C22⋊Q8C2×Dic83semidirect
988. #121C2×Dic83semidirect
993. C4×D4C2×Dic83semidirect
994. C4×D4C2×Dic83semidirect
1016. C2×C4⋊C4C2×Dic83semidirect
1017. C2×C4⋊C4C2×Dic83semidirect

Maximal subgroups

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

subgroupindex
#249106442
#249106292
#249106202
#249106112
#249105992
#249105482
#249105152
#249104592
#249104032
#249103402
#249103322
#249102932
#249102572
#249102302
#249102212
#249102122
#249101982
#249101682
#249101352
#249100962
#249100662
#249100552
#123×Dic832
#249099542
C2×#191275872
C2×#547×C832
#3446983