Finite Group Databasebeta

← #2630×D83 #35570779

Subgroups — #2630×D83 #35570779

Order 21248.

3218 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D83C211yesmaximal, characteristic, complemented
2C2×C4×D4×D83C211yesmaximal, characteristic, complemented
3#24913313C211yesmaximal, characteristic, complemented
4#24913312C211yesmaximal, characteristic, complemented
5#24913311C211yesmaximal, characteristic, complemented
6#24913310C211yesmaximal, characteristic, complemented
7#24913309C211yesmaximal, characteristic, complemented
8#24913308C211yesmaximal, characteristic, complemented
9#24913307C211yesmaximal, characteristic, complemented
10#24913306C211yesmaximal, characteristic, complemented
11#24913305C211yesmaximal, characteristic, complemented
12#24913304C211yesmaximal, characteristic, complemented
13#24913303C211yesmaximal, characteristic, complemented
14#24913302C211yesmaximal, characteristic, complemented
15#24913301C211yesmaximal, characteristic, complemented
16#24913300C211yesmaximal, characteristic, complemented
17#24913299C211yesmaximal, characteristic, complemented
18#398×D83C211yesmaximal, characteristic, complemented
19#397×D83C211yesmaximal, characteristic, complemented
20#396×D83C211yesmaximal, characteristic, complemented
21#396×D83C211yesmaximal, characteristic, complemented
22#394×D83C211yesmaximal, characteristic, complemented
23#394×D83C211yesmaximal, characteristic, complemented
24#394×D83C211yesmaximal, characteristic, complemented
25#392×D83C211yesmaximal, characteristic
26#388×D83C211yesmaximal, characteristic, complemented
27#387×D83C211yesmaximal, characteristic, complemented
28#386×D83C211yesmaximal, characteristic, complemented
29#385×D83C211yesmaximal, characteristic, complemented
30#380×D83C211yesmaximal, characteristic, complemented
31C83×#2630C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33C22×D4×D83C2211yescharacteristic
34C22×D4×D83C2211yescharacteristic
35C23×C4×D83C2211yescharacteristic
36C23×C4×D83C2211yescharacteristic
37C2×#14581777C2211yescharacteristic, complemented
38C2×#14581777C2211yescharacteristic, complemented
39C2×#14581776C2211yescharacteristic, complemented
40C2×#14581775C2211yescharacteristic, complemented
41C2×#14581774C2211yescharacteristic, complemented
42C2×#14581774C2211yescharacteristic, complemented
43C2×#14581773C2211yescharacteristic, complemented
44#123×D83—28no—
45C2×C4×D332C2211yescharacteristic, complemented
46C2×D4×Dic83C2211yescharacteristic, complemented
47C2×#14581754C2211yescharacteristic, complemented
48C2×C4×C22⋊D83C2211yescharacteristic, complemented
49C2×C4×C22⋊D83C2211yescharacteristic, complemented
50C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
51C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
52C4×D4×D83—28no—
53C2×C4⋊C4×D83C2211yescharacteristic
54C2×C4⋊C4×D83C2211yescharacteristic
55C2×C4⋊C4×D83C2211yescharacteristic
56C2×C4⋊C4×D83C2211yescharacteristic
57C2×C4⋊C4×D83C2211yescharacteristic
58C2×C4⋊C4×D83C2211yescharacteristic
59C2×C4⋊C4×D83C2211yescharacteristic
60C2×C4⋊C4×D83C2211yescharacteristic
61C2×C22⋊C4×D83C2211yescharacteristic
62C2×C22⋊C4×D83C2211yescharacteristic
63C2×C22⋊C4×D83C2211yescharacteristic
64C2×C22⋊C4×D83C2211yescharacteristic
65C2×C22⋊C4×D83C2211yescharacteristic
66C2×C22⋊C4×D83C2211yescharacteristic
67C2×C22⋊C4×D83C2211yescharacteristic
68C2×C22⋊C4×D83C2211yescharacteristic
69C2×C22⋊C4×D83C2211yescharacteristic
70C2×C22⋊C4×D83C2211yescharacteristic
71C2×C22⋊C4×D83C2211yescharacteristic
72C2×C22⋊C4×D83C2211yescharacteristic
73C2×C22⋊C4×D83C2211yescharacteristic
74C2×C42×D83C2211yescharacteristic
75#19127635C2211yescharacteristic, complemented
76#19127635C2211yescharacteristic, complemented
77#19127634C2211yescharacteristic, complemented
78#19127634C2211yescharacteristic, complemented
79#19127633C2211yescharacteristic, complemented
80#19127632C2211yescharacteristic, complemented
81#19127631C2211yescharacteristic, complemented
82#19127630C2211yescharacteristic, complemented
83#19127630C2211yescharacteristic, complemented
84#19127629C2211yescharacteristic, complemented
85#19127629C2211yescharacteristic, complemented
86#19127628C2211yescharacteristic, complemented
87#19127627C2211yescharacteristic, complemented
88#19127626C2211yescharacteristic, complemented
89#19127625C2211yescharacteristic, complemented
90#19127625C2211yescharacteristic, complemented
91#19127624C2211yescharacteristic, complemented
92#19127624C2211yescharacteristic, complemented
93#19127624C2211yescharacteristic, complemented
94#19127624C2211yescharacteristic, complemented
95#19127624C2211yescharacteristic, complemented
96#19127624C2211yescharacteristic, complemented
97#19127623C2211yescharacteristic, complemented
98#19127623C2211yescharacteristic, complemented
99#19127623C2211yescharacteristic, complemented
100#19127623C2211yescharacteristic, complemented
101#19127623C2211yescharacteristic, complemented
102#19127623C2211yescharacteristic, complemented
103#19127619C2211yescharacteristic, complemented
104#19127619C2211yescharacteristic, complemented
105#19127619C2211yescharacteristic, complemented
106#19127618C2211yescharacteristic, complemented
107#19127618C2211yescharacteristic, complemented
108#19127618C2211yescharacteristic, complemented
109#19127617C2211yescharacteristic, complemented
110#19127617C2211yescharacteristic, complemented
111#19127617C2211yescharacteristic, complemented
112#19127617C2211yescharacteristic, complemented
113#19127617C2211yescharacteristic, complemented
114#19127617C2211yescharacteristic, complemented
115#19127616C2211yescharacteristic, complemented
116#19127616C2211yescharacteristic, complemented
117#19127616C2211yescharacteristic, complemented
118#19127616C2211yescharacteristic, complemented
119#19127616C2211yescharacteristic, complemented
120#19127616C2211yescharacteristic, complemented
121#19127615C2211yescharacteristic, complemented
122#19127615C2211yescharacteristic, complemented
123#19127615C2211yescharacteristic, complemented
124#19127611C2211yescharacteristic
125#19127610C2211yescharacteristic
126#19127610C2211yescharacteristic
127#19127610C2211yescharacteristic
128#19127609C2211yescharacteristic
129#19127609C2211yescharacteristic
130#19127609C2211yescharacteristic
131#19127595C2211yescharacteristic, complemented
132#19127594C2211yescharacteristic, complemented
133#19127593C2211yescharacteristic, complemented
134#19127592C2211yescharacteristic, complemented
135#19127591C2211yescharacteristic, complemented
136#19127590C2211yescharacteristic, complemented
137#19127589C2211yescharacteristic, complemented
138#19127588C2211yescharacteristic, complemented
139#19127587C2211yescharacteristic, complemented
140#19127586C2211yescharacteristic, complemented
141#19127585C2211yescharacteristic, complemented
142#19127584C2211yescharacteristic, complemented
143#19127583C2211yescharacteristic, complemented
144#19127582C2211yescharacteristic, complemented
145#19127581C2211yescharacteristic, complemented
146#19127580C2211yescharacteristic, complemented
147#19127579C2211yescharacteristic, complemented
148#19127579C2211yescharacteristic, complemented
149#19127578C2211yescharacteristic, complemented
150#19127577C2211yescharacteristic, complemented
151#19127577C2211yescharacteristic, complemented
152#19127576C2211yescharacteristic, complemented
153#19127575C2211yescharacteristic, complemented
154#19127575C2211yescharacteristic, complemented
155#19127574C2211yescharacteristic, complemented
156#19127573C2211yescharacteristic, complemented
157#19127572C2211yescharacteristic, complemented
158#19127572C2211yescharacteristic, complemented
159#19127561C2211yescharacteristic, complemented
160#19127560C2211yescharacteristic, complemented
161#19127560C2211yescharacteristic, complemented
162#19127559C2211yescharacteristic, complemented
163#19127559C2211yescharacteristic, complemented
164#19127558C2211yescharacteristic, complemented
165#19127558C2211yescharacteristic, complemented
166#95×D83C2211yescharacteristic
167#95×D83C2211yescharacteristic
168#95×D83C2211yescharacteristic
169#95×D83C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172#95×D83C2211yescharacteristic
173#95×D83C2211yescharacteristic
174C2×#123×C83C2211yescharacteristic, complemented
175C2×C4×D4×C83C2211yescharacteristic, complemented
176#398×C83C2211yescharacteristic, complemented
177#397×C83C2211yescharacteristic, complemented
178#396×C83C2211yescharacteristic, complemented
179#396×C83C2211yescharacteristic, complemented
180#394×C83C2211yescharacteristic, complemented
181#394×C83C2211yescharacteristic, complemented
182#394×C83C2211yescharacteristic, complemented
183#392×C83C2211yescharacteristic
184#388×C83C2211yescharacteristic, complemented
185#387×C83C2211yescharacteristic, complemented
186#386×C83C2211yescharacteristic, complemented
187#385×C83C2211yescharacteristic, complemented
188#380×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C24×D83C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C2×D4×D83—24no—
202C2×D4×D83—24no—
203C2×D4×D83—24no—
204C2×D4×D83—24no—
205C2×D4×D83—24no—
206C2×D4×D83—42no—
207C2×D4×D83—42no—
208C2×D4×D83—42no—
209C2×D4×D83—42no—
210C23×Dic83C2311yescharacteristic
211C23×Dic83C2311yescharacteristic
212C22×C4×D83—24no—
213C22×C4×D83—42no—
214C22×C4×D83—42no—
215C22×C4×D83—42no—
216C22×C4×D83—42no—
217C22×C4×D83D418yescomplemented
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224C22×C4×D83C2311yescharacteristic
225C22×C4×D83C2311yescharacteristic
226C22×C4×D83C2311yescharacteristic
227C22×C4×D83C2311yescharacteristic
228C22×C4×D83C2311yescharacteristic
229C22×C4×D83C2311yescharacteristic
230C22×C4×D83C2311yescharacteristic
231C22×C4×D83C2311yescharacteristic
232C22×C4×D83C2311yescharacteristic
233C22×C4×D83C2311yescharacteristic
234#14581777—24no—
235#14581777—24no—
236#14581776—24no—
237#14581775—24no—
238#14581774—24no—
239#14581774—24no—
240#14581773—24no—
241C4×D332—24no—
242D4×Dic83—24no—
243#14581754—24no—
244C4×C22⋊D83—24no—
245C4×C22⋊D83—24no—
246(C22⋊D83)⋊C4—24no—
247(C22⋊D83)⋊C4—24no—
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×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×Dic83⋊C4C2311yescharacteristic
269C2×Dic83⋊C4C2311yescharacteristic
270C2×Dic83⋊C4C2311yescharacteristic
271C2×Dic83⋊C4C2311yescharacteristic
272C4⋊C4×D83—24no—
273C4⋊C4×D83—24no—
274C4⋊C4×D83—24no—
275C4⋊C4×D83—24no—
276C4⋊C4×D83—42no—
277C4⋊C4×D83—42no—
278C4⋊C4×D83—42no—
279C4⋊C4×D83—42no—
280C2×C22⋊Dic83C2311yescharacteristic
281C2×C22⋊Dic83C2311yescharacteristic
282C2×C22⋊Dic83C2311yescharacteristic
283C2×C22⋊Dic83C2311yescharacteristic
284C2×C22⋊Dic83C2311yescharacteristic
285C2×C22⋊Dic83C2311yescharacteristic
286C2×C22⋊Dic83C2311yescharacteristic
287C2×C22⋊Dic83C2311yescharacteristic
288C2×C22⋊Dic83C2311yescharacteristic
289C2×C22⋊Dic83C2311yescharacteristic
290C2×C22⋊Dic83C2311yescharacteristic
291C2×C22⋊Dic83C2311yescharacteristic
292C2×C22⋊Dic83C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C2×(C2×D83)⋊C4C2311yescharacteristic
306C2×(C2×D83)⋊C4C2311yescharacteristic
307C2×(C2×D83)⋊C4C2311yescharacteristic
308C2×(C2×D83)⋊C4C2311yescharacteristic
309C2×(C2×D83)⋊C4C2311yescharacteristic
310C2×(C2×D83)⋊C4C2311yescharacteristic
311C2×(C2×D83)⋊C4C2311yescharacteristic
312C2×(C2×D83)⋊C4C2311yescharacteristic
313C2×(C2×D83)⋊C4C2311yescharacteristic
314C2×(C2×D83)⋊C4C2311yescharacteristic
315C2×(C2×D83)⋊C4C2311yescharacteristic
316C2×(C2×D83)⋊C4C2311yescharacteristic
317C2×(C2×D83)⋊C4C2311yescharacteristic
318C2×(C2×D83)⋊C4C2311yescharacteristic
319C22⋊C4×D83—24no—
320C22⋊C4×D83—24no—
321C22⋊C4×D83—24no—
322C22⋊C4×D83—24no—
323C22⋊C4×D83—24no—
324C22⋊C4×D83—24no—
325C22⋊C4×D83—24no—
326C22⋊C4×D83—42no—
327C22⋊C4×D83—42no—
328C22⋊C4×D83—42no—
329C22⋊C4×D83—42no—
330C22⋊C4×D83—42no—
331C22⋊C4×D83—42no—
332C2×C4×Dic83C2311yescharacteristic
333C2×C4×Dic83C2311yescharacteristic
334C2×C4×Dic83C2311yescharacteristic
335C42×D83—24no—
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C83⋊#95C2311yescharacteristic
349C83⋊#95C2311yescharacteristic
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C83⋊#95C2311yescharacteristic
353C83⋊#95C2311yescharacteristic
354C83⋊#95C2311yescharacteristic
355C83⋊#95C2311yescharacteristic
356C83⋊#95C2311yescharacteristic
357C83⋊#95C2311yescharacteristic
358C83⋊#95C2311yescharacteristic
359C83⋊#95C2311yescharacteristic
360C22×D4×C83C2311yescharacteristic
361C22×D4×C83C2311yescharacteristic
362C22×D4×C83C2311yescharacteristic
363C23×C4×C83C2311yescharacteristic
364C23×C4×C83C2311yescharacteristic
365#123×C83—24no—
366C4×D4×C83—24no—
367C2×C4⋊C4×C83C2311yescharacteristic
368C2×C4⋊C4×C83C2311yescharacteristic
369C2×C4⋊C4×C83C2311yescharacteristic
370C2×C4⋊C4×C83C2311yescharacteristic
371C2×C4⋊C4×C83C2311yescharacteristic
372C2×C4⋊C4×C83C2311yescharacteristic
373C2×C4⋊C4×C83C2311yescharacteristic
374C2×C4⋊C4×C83C2311yescharacteristic
375C2×C22⋊C4×C83C2311yescharacteristic
376C2×C22⋊C4×C83C2311yescharacteristic
377C2×C22⋊C4×C83C2311yescharacteristic
378C2×C22⋊C4×C83C2311yescharacteristic
379C2×C22⋊C4×C83C2311yescharacteristic
380C2×C22⋊C4×C83C2311yescharacteristic
381C2×C22⋊C4×C83C2311yescharacteristic
382C2×C22⋊C4×C83C2311yescharacteristic
383C2×C22⋊C4×C83C2311yescharacteristic
384C2×C22⋊C4×C83C2311yescharacteristic
385C2×C22⋊C4×C83C2311yescharacteristic
386C2×C22⋊C4×C83C2311yescharacteristic
387C2×C22⋊C4×C83C2311yescharacteristic
388C2×C42×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391#95×C83C2311yescharacteristic
392#95×C83C2311yescharacteristic
393#95×C83C2311yescharacteristic
394#95×C83C2311yescharacteristic
395#95×C83C2311yescharacteristic
396#95×C83C2311yescharacteristic
397C23×D83—22no—
398C23×D83—22no—
399C23×D83—22no—
400C23×D83—22no—
401C23×D83—22no—
402C23×D83—22no—
403C23×D83—22no—
404C23×D83—22no—
405C23×D83—22no—
406C23×D83—22no—
407C23×D83—22no—
408C23×D83—22no—
409C23×D83—22no—
410C23×D83—22no—
411C23×D83—22no—
412C23×D83—22no—
413C23×D83—22no—
414C23×D83—22no—
415C23×D83—22no—
416C23×D83C2×D414yes—
417C23×D83#4114yes—
418C23×D83C2411yescharacteristic
419C23×D83C2411yescharacteristic
420C23×D83C2411yescharacteristic
421C23×D83C2411yescharacteristic
422C2×D332—22no—
423C2×D332—22no—
424C2×D332—22no—
425C2×D332—22no—
426C2×D332—22no—
427C2×D332—41no—
428C2×D332—41no—
429C2×D332—41no—
430C2×D332—41no—
431C2×C22⋊D83—22no—
432C2×C22⋊D83—22no—
433C2×C22⋊D83—22no—
434C2×C22⋊D83—22no—
435C2×C22⋊D83—22no—
436C2×C22⋊D83—22no—
437C2×C22⋊D83—22no—
438C2×C22⋊D83—22no—
439C2×C22⋊D83—22no—
440C2×C22⋊D83—22no—
441C2×C22⋊D83—41no—
442C2×C22⋊D83—41no—
443C2×C22⋊D83—41no—
444C2×C22⋊D83—41no—
445C2×C22⋊D83—41no—
446C2×C22⋊D83—41no—
447C2×C22⋊D83—41no—
448C2×C22⋊D83—41no—
449D4×D83—232no—
450D4×D83—416no—
451D4×D83—416no—
452C22×Dic83—22no—
453C22×Dic83—41no—
454C22×Dic83—41no—
455C22×Dic83—41no—
456C22×Dic83—41no—
457C22×Dic83C2×D414yescomplemented
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C22×Dic83C2411yescharacteristic
463C22×Dic83C2411yescharacteristic
464C22×Dic83C2411yescharacteristic
465C22×Dic83C2411yescharacteristic
466C22×Dic83C2411yescharacteristic
467C22×Dic83C2411yescharacteristic
468C22×Dic83C2411yescharacteristic
469C22×Dic83C2411yescharacteristic
470C2×C4×D83—22no—
471C2×C4×D83—22no—
472C2×C4×D83—22no—
473C2×C4×D83—22no—
474C2×C4×D83—22no—
475C2×C4×D83—22no—
476C2×C4×D83—22no—
477C2×C4×D83—22no—
478C2×C4×D83—22no—
479C2×C4×D83—22no—
480C2×C4×D83—22no—
481C2×C4×D83—22no—
482C2×C4×D83—22no—
483C2×C4×D83—22no—
484C2×C4×D83—22no—
485C2×C4×D83—22no—
486C2×C4×D83—22no—
487C2×C4×D83—22no—
488C2×C4×D83—22no—
489C2×C4×D83—22no—
490C2×C4×D83—22no—
491C2×C4×D83—22no—
492C2×C4×D83—22no—
493C2×C4×D83—22no—
494C2×C4×D83—22no—
495C2×C4×D83—22no—
496C2×C4×D83—22no—
497C2×C4×D83—22no—
498C2×C4×D83—22no—
499C2×C4×D83—22no—
500C2×C4×D83—22no—
501C2×C4×D83—22no—
502C2×C4×D83—22no—
503C2×C4×D83—22no—
504C2×C4×D83—22no—
505C2×C4×D83—416no—
506C2×C4×D83—416no—
507C2×C4×D83—41no—
508C2×C4×D83—41no—
509C2×C4×D83—41no—
510C2×C4×D83—41no—
511C2×C4×D83—41no—
512C2×C4×D83—41no—
513C2×C4×D83—41no—
514C2×C4×D83—41no—
515C2×C4×D83C2×D414yes—
516C2×C4×D83C2×D414yes—
517C2×C4×D83C2×D414yescomplemented
518C2×C4×D83C2×D414yescomplemented
519C2×C4×D83#4114yes—
520C4⋊Dic83—22no—
521C4⋊Dic83—22no—
522C4⋊Dic83—22no—
523C4⋊Dic83—22no—
524C4⋊Dic83—41no—
525C4⋊Dic83—41no—
526C4⋊Dic83—41no—
527C4⋊Dic83—41no—
528Dic83⋊C4—22no—
529Dic83⋊C4—22no—
530Dic83⋊C4—22no—
531Dic83⋊C4—22no—
532Dic83⋊C4—22no—
533Dic83⋊C4—22no—
534Dic83⋊C4—22no—
535Dic83⋊C4—22no—
536Dic83⋊C4—41no—
537Dic83⋊C4—41no—
538Dic83⋊C4—41no—
539Dic83⋊C4—41no—
540Dic83⋊C4—41no—
541Dic83⋊C4—41no—
542Dic83⋊C4—41no—
543Dic83⋊C4—41no—
544C22⋊Dic83—22no—
545C22⋊Dic83—22no—
546C22⋊Dic83—22no—
547C22⋊Dic83—22no—
548C22⋊Dic83—22no—
549C22⋊Dic83—22no—
550C22⋊Dic83—22no—
551C22⋊Dic83—41no—
552C22⋊Dic83—41no—
553C22⋊Dic83—41no—
554C22⋊Dic83—41no—
555C22⋊Dic83—41no—
556C22⋊Dic83—41no—
557(C2×D83)⋊C4—22no—
558(C2×D83)⋊C4—22no—
559(C2×D83)⋊C4—22no—
560(C2×D83)⋊C4—22no—
561(C2×D83)⋊C4—22no—
562(C2×D83)⋊C4—22no—
563(C2×D83)⋊C4—22no—
564(C2×D83)⋊C4—22no—
565(C2×D83)⋊C4—22no—
566(C2×D83)⋊C4—22no—
567(C2×D83)⋊C4—22no—
568(C2×D83)⋊C4—22no—
569(C2×D83)⋊C4—22no—
570(C2×D83)⋊C4—22no—
571(C2×D83)⋊C4—41no—
572(C2×D83)⋊C4—41no—
573(C2×D83)⋊C4—41no—
574(C2×D83)⋊C4—41no—
575(C2×D83)⋊C4—41no—
576(C2×D83)⋊C4—41no—
577(C2×D83)⋊C4—41no—
578(C2×D83)⋊C4—41no—
579(C2×D83)⋊C4—41no—
580(C2×D83)⋊C4—41no—
581(C2×D83)⋊C4—41no—
582(C2×D83)⋊C4—41no—
583C4×Dic83—22no—
584C4×Dic83—22no—
585C4×Dic83—22no—
586C24×C83C2411yescharacteristic
587C24×C83C2411yescharacteristic
588C24×C83C2411yescharacteristic
589C2×D4×C83—22no—
590C2×D4×C83—22no—
591C2×D4×C83—22no—
592C2×D4×C83—22no—
593C2×D4×C83—22no—
594C2×D4×C83—41no—
595C2×D4×C83—41no—
596C2×D4×C83—41no—
597C2×D4×C83—41no—
598C22×C4×C83—22no—
599C22×C4×C83—41no—
600C22×C4×C83—41no—
601C22×C4×C83—41no—
602C22×C4×C83—41no—
603C22×C4×C83C2×D414yescomplemented
604C22×C4×C83C2411yescharacteristic
605C22×C4×C83C2411yescharacteristic
606C22×C4×C83C2411yescharacteristic
607C22×C4×C83C2411yescharacteristic
608C22×C4×C83C2411yescharacteristic
609C22×C4×C83C2411yescharacteristic
610C22×C4×C83C2411yescharacteristic
611C22×C4×C83C2411yescharacteristic
612C22×C4×C83C2411yescharacteristic
613C22×C4×C83C2411yescharacteristic
614C22×C4×C83C2411yescharacteristic
615C22×C4×C83C2411yescharacteristic
616C4⋊C4×C83—22no—
617C4⋊C4×C83—22no—
618C4⋊C4×C83—22no—
619C4⋊C4×C83—22no—
620C4⋊C4×C83—41no—
621C4⋊C4×C83—41no—
622C4⋊C4×C83—41no—
623C4⋊C4×C83—41no—
624C22⋊C4×C83—22no—
625C22⋊C4×C83—22no—
626C22⋊C4×C83—22no—
627C22⋊C4×C83—22no—
628C22⋊C4×C83—22no—
629C22⋊C4×C83—22no—
630C22⋊C4×C83—22no—
631C22⋊C4×C83—41no—
632C22⋊C4×C83—41no—
633C22⋊C4×C83—41no—
634C22⋊C4×C83—41no—
635C22⋊C4×C83—41no—
636C22⋊C4×C83—41no—
637C42×C83—22no—
638C23×C83—21no—
639C23×C83—21no—
640C23×C83—21no—
641C23×C83—21no—
642C23×C83—21no—
643C23×C83—21no—
644C23×C83—21no—
645C23×C83—21no—
646C23×C83—21no—
647C23×C83—21no—
648C23×C83—21no—
649C23×C83—21no—
650C23×C83—21no—
651C23×C83—21no—
652C23×C83—21no—
653C23×C83—21no—
654C23×C83—21no—
655C23×C83—21no—
656C23×C83—21no—
657C23×C83C22×D412yes—
658C23×C83C2×#4112yes—
659C23×C83C2511yescharacteristic
660C22×D83—21no—
661C22×D83—21no—
662C22×D83—21no—
663C22×D83—21no—
664C22×D83—21no—
665C22×D83—21no—
666C22×D83—21no—
667C22×D83—21no—
668C22×D83—21no—
669C22×D83—21no—
670C22×D83—21no—
671C22×D83—21no—
672C22×D83—28no—
673C22×D83—28no—
674C22×D83—28no—
675C22×D83—28no—
676C22×D83—28no—
677C22×D83—28no—
678C22×D83—21no—
679C22×D83—21no—
680C22×D83—21no—
681C22×D83—21no—
682C22×D83—21no—
683C22×D83—21no—
684C22×D83—21no—
685C22×D83—44no—
686C22×D83—44no—
687C22×D83—44no—
688C22×D83—44no—
689C22×D83—44no—
690C22×D83—44no—
691C22×D83—44no—
692C22×D83—44no—
693C22×D83—44no—
694C22×D83—44no—
695C22×D83—44no—
696C22×D83—44no—
697C22×D83—44no—
698C22×D83—44no—
699C22×D83—44no—
700C22×D83C22×D412yes—
701C22×D83C22×D412yes—
702C22×D83C2×#4112yes—
703C22×D83C2×#4112yes—
704C22×D83C2×#4112yes—
705C22×D83H(5,𝔽2)12yes—
706C22×D83H(5,𝔽2)12yes—
707C22×D83H(5,𝔽2)12yes—
708C22×D832−1+412yes—
709D4×C83—28no—
710D4×C83—44no—
711D4×C83—44no—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—21no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—21no—
727C2×C4×C83—21no—
728C2×C4×C83—21no—
729C2×C4×C83—21no—
730C2×C4×C83—21no—
731C2×C4×C83—21no—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—21no—
738C2×C4×C83—21no—
739C2×C4×C83—21no—
740C2×C4×C83—21no—
741C2×C4×C83—21no—
742C2×C4×C83—21no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—44no—
746C2×C4×C83—44no—
747C2×C4×C83C22×D412yes—
748C2×C4×C83C22×D412yes—
749C2×C4×C83C2×#4112yes—
750C22⋊D83—28no—
751C22⋊D83—28no—
752C22⋊D83—44no—
753C22⋊D83—44no—
754C22⋊D83—44no—
755C22⋊D83—44no—
756C2×Dic83—21no—
757C2×Dic83—21no—
758C2×Dic83—21no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—21no—
764C2×Dic83—21no—
765C2×Dic83—21no—
766C2×Dic83—21no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—21no—
772C2×Dic83—21no—
773C2×Dic83—21no—
774C2×Dic83—21no—
775C2×Dic83—21no—
776C2×Dic83—21no—
777C2×Dic83—21no—
778C2×Dic83—21no—
779C2×Dic83—21no—
780C2×Dic83—21no—
781C2×Dic83—21no—
782C2×Dic83—21no—
783C2×Dic83—21no—
784C2×Dic83—21no—
785C2×Dic83—21no—
786C2×Dic83—21no—
787C2×Dic83—21no—
788C2×Dic83—21no—
789C2×Dic83—44no—
790C2×Dic83—44no—
791C2×Dic83C22×D412yes—
792C2×Dic83C22×D412yes—
793C2×Dic83C2×#4112yes—
794D332—28no—
795D332—44no—
796D332—44no—
797C4×D83—28no—
798C4×D83—28no—
799C4×D83—28no—
800C4×D83—44no—
801C4×D83—44no—
802C4×D83—44no—
803C4×D83—44no—
804C4×D83—44no—
805C4×D83—44no—
806C4×D83—44no—
807C4×D83—44no—
808C4×D83—44no—
809C4×D83—44no—
810C4×D83—44no—
811C4×D83—44no—
812C4×D83—44no—
813C22×C83—22no—
814C22×C83—22no—
815C22×C83—22no—
816C22×C83—22no—
817C22×C83—22no—
818C22×C83—22no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83—41no—
822C22×C83—41no—
823C22×C83—41no—
824C22×C83—41no—
825C22×C83—41no—
826C22×C83—41no—
827C22×C83—41no—
828C22×C83—41no—
829C22×C83—41no—
830C22×C83—41no—
831C22×C83—41no—
832C22×C83—41no—
833C22×C83—41no—
834C22×C83C23×D411yescharacteristic
835C22×C83C22×#4111yescharacteristic
836C22×C83C22×#4111yescharacteristic
837C22×C83C2×H(5,𝔽2)11yescharacteristic
838C22×C83C2×H(5,𝔽2)11yescharacteristic
839C22×C83C2×H(5,𝔽2)11yescharacteristic
840C22×C83C2×2−1+411yescharacteristic
841C2×D83—22no—
842C2×D83—22no—
843C2×D83—22no—
844C2×D83—22no—
845C2×D83—22no—
846C2×D83—22no—
847C2×D83—41no—
848C2×D83—41no—
849C2×D83—41no—
850C2×D83—41no—
851C2×D83—41no—
852C2×D83—41no—
853C2×D83—41no—
854C2×D83—41no—
855C2×D83—416no—
856C2×D83—416no—
857C2×D83—41no—
858C2×D83—41no—
859C2×D83—41no—
860C2×D83—41no—
861C2×D83—41no—
862C2×D83—41no—
863C2×D83—41no—
864C2×D83—88no—
865C2×D83#52514yes—
866C2×D83#53414yes—
867C2×D83#53714yes—
868C2×D83#53814yes—
869C2×D83#53914yes—
870C2×D83#54014yes—
871C2×D83#54214yes—
872C4×C83—22no—
873C4×C83—22no—
874C4×C83—22no—
875C4×C83—41no—
876C4×C83—41no—
877C4×C83—41no—
878C4×C83—41no—
879C4×C83—41no—
880C4×C83—41no—
881C4×C83—41no—
882C4×C83—41no—
883C4×C83—41no—
884Dic83—22no—
885Dic83—22no—
886Dic83—22no—
887Dic83—41no—
888Dic83—41no—
889Dic83—41no—
890Dic83—41no—
891Dic83—41no—
892Dic83—41no—
893Dic83—41no—
894Dic83—41no—
895Dic83—41no—
896C2×#2630—831nomaximal, Sylow
897C2×C83—42no—
898C2×C83—42no—
899C2×C83—81no—
900C2×C83C2×#52511yescharacteristic
901C2×C83C2×#53411yescharacteristic
902C2×C83C2×#53711yescharacteristic
903C2×C83C2×#53811yescharacteristic
904C2×C83C2×#53911yescharacteristic
905C2×C83C2×#54011yescharacteristic
906C2×C83C2×#54211yescharacteristic
907D83—42no—
908D83—42no—
909D83—81no—
910D83#263018yesdirect product factor
911C22×#123—831no—
912C22×C4×D4—831no—
913#2630—831no—
914#2630—831no—
915#2630—831no—
916#2630—831no—
917#2630—831no—
918#2630—831no—
919#2630—831no—
920#2630—831no—
921#2630—831no—
922#2630—831no—
923#2630—831no—
924#2630—831no—
925#2630—831no—
926#2630—831no—
927#2630—831no—
928#2630D8311yescharacteristic, direct product factor
929C2×#398—831no—
930C2×#397—831no—
931C2×#396—831no—
932C2×#396—831no—
933C2×#394—831no—
934C2×#394—831no—
935C2×#394—831no—
936C2×#392—831no—
937C2×#388—831no—
938C2×#387—831no—
939C2×#386—831no—
940C2×#385—831no—
941C2×#380—831no—
942C83C2×#263011yescharacteristic, complemented, Sylow
943C23×D4—831no—
944C23×D4—831no—
945C23×D4—831no—
946C24×C4—831no—
947C24×C4—831no—
948C2×#123—831no—
949C2×#123—831no—
950C2×#123—831no—
951C2×#123—831no—
952C2×#123—831no—
953C2×#123—831no—
954C2×#123—831no—
955C2×#123—1668no—
956C2×#123C2×D8311yescharacteristic, complemented
957C2×C4×D4—831no—
958C2×C4×D4—831no—
959C2×C4×D4—831no—
960C2×C4×D4—831no—
961C2×C4×D4—831no—
962C2×C4×D4—831no—
963C2×C4×D4—831no—
964C2×C4×D4—1668no—
965C2×C4×D4C2×D8311yescharacteristic, complemented
966C22×C4⋊C4—831no—
967C22×C4⋊C4—831no—
968C22×C4⋊C4—831no—
969C22×C4⋊C4—831no—
970C22×C4⋊C4—831no—
971C22×C4⋊C4—831no—
972C22×C4⋊C4—831no—
973C22×C4⋊C4—831no—
974C22×C22⋊C4—831no—
975C22×C22⋊C4—831no—
976C22×C22⋊C4—831no—
977C22×C22⋊C4—831no—
978C22×C22⋊C4—831no—
979C22×C22⋊C4—831no—
980C22×C22⋊C4—831no—
981C22×C22⋊C4—831no—
982C22×C22⋊C4—831no—
983C22×C22⋊C4—831no—
984C22×C22⋊C4—831no—
985C22×C22⋊C4—831no—
986C22×C22⋊C4—831no—
987C22×C42—831no—
988#398—831no—
989#398—831no—
990#398—831no—
991#398—831no—
992#398—831no—
993#398—831no—
994#398—831no—
995#398C2×D8311yescharacteristic, complemented
996#397—831no—
997#397—831no—
998#397—831no—
999#397—831no—
1000#397—831no—
1001#397—831no—
1002#397—831no—
1003#397C2×D8311yescharacteristic, complemented
1004#396—831no—
1005#396—831no—
1006#396—831no—
1007#396—831no—
1008#396—831no—
1009#396—831no—
1010#396—831no—
1011#396—831no—
1012#396—831no—
1013#396—831no—
1014#396—831no—
1015#396—831no—
1016#396—831no—
1017#396—831no—
1018#396C2×D8311yescharacteristic, complemented
1019#396C2×D8311yescharacteristic, complemented
1020#394—831no—
1021#394—831no—
1022#394—831no—
1023#394—831no—
1024#394—831no—
1025#394—831no—
1026#394—831no—
1027#394—831no—
1028#394—831no—
1029#394—831no—
1030#394—831no—
1031#394—831no—
1032#394—831no—
1033#394—831no—
1034#394—831no—
1035#394—831no—
1036#394—831no—
1037#394—831no—
1038#394—831no—
1039#394—831no—
1040#394—831no—
1041#394C2×D8311yescharacteristic, complemented
1042#394C2×D8311yescharacteristic, complemented
1043#394C2×D8311yescharacteristic, complemented
1044#392—831no—
1045#392—831no—
1046#392—831no—
1047#392—831no—
1048#392—831no—
1049#392—831no—
1050#392—831no—
1051#392C2×D8311yescharacteristic
1052#388—831no—
1053#388—831no—
1054#388—831no—
1055#388—831no—
1056#388—831no—
1057#388—831no—
1058#388—831no—
1059#388C2×D8311yescharacteristic, complemented
1060#387—831no—
1061#387—831no—
1062#387—831no—
1063#387—831no—
1064#387—831no—
1065#387—831no—
1066#387—831no—
1067#387C2×D8311yescharacteristic, complemented
1068#386—831no—
1069#386—831no—
1070#386—831no—
1071#386—831no—
1072#386—831no—
1073#386—831no—
1074#386—831no—
1075#386C2×D8311yescharacteristic, complemented
1076#385—831no—
1077#385—831no—
1078#385—831no—
1079#385—831no—
1080#385—831no—
1081#385—831no—
1082#385—831no—
1083#385C2×D8311yescharacteristic, complemented
1084#380—831no—
1085#380—831no—
1086#380—831no—
1087#380—831no—
1088#380—831no—
1089#380—831no—
1090#380—831no—
1091#380C2×D8311yescharacteristic, complemented
1092C2×#95—831no—
1093C2×#95—831no—
1094C2×#95—831no—
1095C2×#95—831no—
1096C2×#95—831no—
1097C2×#95—831no—
1098C2×#95—831no—
1099C2×#95—831no—
1100C25—831no—
1101C25—831no—
1102C25—831no—
1103C22×D4—3322no—
1104C22×D4—3322no—
1105C22×D4—3322no—
1106C22×D4—3322no—
1107C22×D4—831no—
1108C22×D4—831no—
1109C22×D4—831no—
1110C22×D4—831no—
1111C22×D4—831no—
1112C22×D4—831no—
1113C22×D4—831no—
1114C22×D4—831no—
1115C22×D4—831no—
1116C22×D4—1664no—
1117C22×D4—1664no—
1118C22×D4—1664no—
1119C22×D4—1664no—
1120C22×D4—1664no—
1121C22×D4C22×D8311yescharacteristic
1122C22×D4C22×D8311yescharacteristic
1123C22×D4C22×D8311yescharacteristic
1124C23×C4—3322no—
1125C23×C4—3322no—
1126C23×C4—3322no—
1127C23×C4—3322no—
1128C23×C4—831no—
1129C23×C4—838no—
1130C23×C4—831no—
1131C23×C4—831no—
1132C23×C4—831no—
1133C23×C4—831no—
1134C23×C4—831no—
1135C23×C4—831no—
1136C23×C4—831no—
1137C23×C4—831no—
1138C23×C4—831no—
1139C23×C4—831no—
1140C23×C4—831no—
1141C23×C4—831no—
1142C23×C4—831no—
1143C23×C4—831no—
1144C23×C4—831no—
1145C23×C4—831no—
1146C23×C4—831no—
1147C23×C4—1664no—
1148C23×C4C22×D8311yescharacteristic
1149C23×C4C22×D8311yescharacteristic
1150#123—24no—
1151#123—1664no—
1152#123—1664no—
1153#123—1664no—
1154#123—1664no—
1155#123—1664no—
1156#123—1664no—
1157#123—1664no—
1158C4×D4—24no—
1159C4×D4—1664no—
1160C4×D4—1664no—
1161C4×D4—1664no—
1162C4×D4—1664no—
1163C4×D4—1664no—
1164C4×D4—1664no—
1165C4×D4—1664no—
1166C2×C4⋊C4—3322no—
1167C2×C4⋊C4—3322no—
1168C2×C4⋊C4—3322no—
1169C2×C4⋊C4—3322no—
1170C2×C4⋊C4—831no—
1171C2×C4⋊C4—831no—
1172C2×C4⋊C4—831no—
1173C2×C4⋊C4—831no—
1174C2×C4⋊C4—831no—
1175C2×C4⋊C4—831no—
1176C2×C4⋊C4—831no—
1177C2×C4⋊C4—831no—
1178C2×C4⋊C4—831no—
1179C2×C4⋊C4—831no—
1180C2×C4⋊C4—831no—
1181C2×C4⋊C4—831no—
1182C2×C4⋊C4—831no—
1183C2×C4⋊C4—831no—
1184C2×C4⋊C4—831no—
1185C2×C4⋊C4—831no—
1186C2×C4⋊C4—831no—
1187C2×C4⋊C4—831no—
1188C2×C4⋊C4—831no—
1189C2×C4⋊C4—831no—
1190C2×C4⋊C4—831no—
1191C2×C4⋊C4—831no—
1192C2×C4⋊C4—831no—
1193C2×C4⋊C4—831no—
1194C2×C4⋊C4—1664no—
1195C2×C4⋊C4—1664no—
1196C2×C4⋊C4—1664no—
1197C2×C4⋊C4—1664no—
1198C2×C4⋊C4C22×D8311yescharacteristic
1199C2×C4⋊C4C22×D8311yescharacteristic
1200C2×C4⋊C4C22×D8311yescharacteristic
1201C2×C4⋊C4C22×D8311yescharacteristic
1202C2×C4⋊C4C22×D8311yescharacteristic
1203C2×C4⋊C4C22×D8311yescharacteristic
1204C2×C4⋊C4C22×D8311yescharacteristic
1205C2×C4⋊C4C22×D8311yescharacteristic
1206C2×C22⋊C4—3322no—
1207C2×C22⋊C4—3322no—
1208C2×C22⋊C4—3322no—
1209C2×C22⋊C4—3322no—
1210C2×C22⋊C4—3322no—
1211C2×C22⋊C4—3322no—
1212C2×C22⋊C4—831no—
1213C2×C22⋊C4—831no—
1214C2×C22⋊C4—831no—
1215C2×C22⋊C4—831no—
1216C2×C22⋊C4—831no—
1217C2×C22⋊C4—831no—
1218C2×C22⋊C4—831no—
1219C2×C22⋊C4—831no—
1220C2×C22⋊C4—831no—
1221C2×C22⋊C4—831no—
1222C2×C22⋊C4—831no—
1223C2×C22⋊C4—831no—
1224C2×C22⋊C4—831no—
1225C2×C22⋊C4—831no—
1226C2×C22⋊C4—831no—
1227C2×C22⋊C4—831no—
1228C2×C22⋊C4—831no—
1229C2×C22⋊C4—831no—
1230C2×C22⋊C4—831no—
1231C2×C22⋊C4—831no—
1232C2×C22⋊C4—831no—
1233C2×C22⋊C4—831no—
1234C2×C22⋊C4—831no—
1235C2×C22⋊C4—831no—
1236C2×C22⋊C4—831no—
1237C2×C22⋊C4—831no—
1238C2×C22⋊C4—831no—
1239C2×C22⋊C4—831no—
1240C2×C22⋊C4—831no—
1241C2×C22⋊C4—831no—
1242C2×C22⋊C4—831no—
1243C2×C22⋊C4—831no—
1244C2×C22⋊C4—831no—
1245C2×C22⋊C4—831no—
1246C2×C22⋊C4—831no—
1247C2×C22⋊C4—831no—
1248C2×C22⋊C4—831no—
1249C2×C22⋊C4—831no—
1250C2×C22⋊C4—831no—
1251C2×C22⋊C4—1664no—
1252C2×C22⋊C4—1664no—
1253C2×C22⋊C4—1664no—
1254C2×C22⋊C4—1664no—
1255C2×C22⋊C4—1664no—
1256C2×C22⋊C4—1664no—
1257C2×C22⋊C4—1664no—
1258C2×C22⋊C4C22×D8311yescharacteristic
1259C2×C22⋊C4C22×D8311yescharacteristic
1260C2×C22⋊C4C22×D8311yescharacteristic
1261C2×C22⋊C4C22×D8311yescharacteristic
1262C2×C22⋊C4C22×D8311yescharacteristic
1263C2×C22⋊C4C22×D8311yescharacteristic
1264C2×C22⋊C4C22×D8311yescharacteristic
1265C2×C22⋊C4C22×D8311yescharacteristic
1266C2×C22⋊C4C22×D8311yescharacteristic
1267C2×C22⋊C4C22×D8311yescharacteristic
1268C2×C22⋊C4C22×D8311yescharacteristic
1269C2×C22⋊C4C22×D8311yescharacteristic
1270C2×C22⋊C4C22×D8311yescharacteristic
1271C2×C42—831no—
1272C2×C42—831no—
1273C2×C42—831no—
1274C2×C42—1664no—
1275C2×C42C22×D8311yescharacteristic
1276#95—831no—
1277#95—831no—
1278#95—831no—
1279#95—831no—
1280#95—831no—
1281#95—831no—
1282#95—831no—
1283#95—831no—
1284#95—831no—
1285#95—831no—
1286#95—831no—
1287#95—831no—
1288#95—831no—
1289#95—831no—
1290#95—831no—
1291#95—831no—
1292#95—831no—
1293#95—831no—
1294#95—831no—
1295#95—831no—
1296#95—831no—
1297#95—831no—
1298#95—831no—
1299#95—831no—
1300#95C22×D8311yescharacteristic
1301#95C22×D8311yescharacteristic
1302#95C22×D8311yescharacteristic
1303#95C22×D8311yescharacteristic
1304#95C22×D8311yescharacteristic
1305#95C22×D8311yescharacteristic
1306#95C22×D8311yescharacteristic
1307#95C22×D8311yescharacteristic
1308C24—831no—
1309C24—834no—
1310C24—834no—
1311C24—831no—
1312C24—831no—
1313C24—831no—
1314C24—1662no—
1315C24—1662no—
1316C24—1662no—
1317C24—1662no—
1318C24—1662no—
1319C24—1662no—
1320C24—1662no—
1321C24—1662no—
1322C24—1662no—
1323C24—1662no—
1324C24—1662no—
1325C24—1662no—
1326C24—1662no—
1327C24—1662no—
1328C24—1662no—
1329C24—1662no—
1330C24—1662no—
1331C24—1662no—
1332C24—1662no—
1333C24C23×D8311yescharacteristic
1334C24C23×D8311yescharacteristic
1335C24C23×D8311yescharacteristic
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—3321no—
1346C2×D4—3321no—
1347C2×D4—3321no—
1348C2×D4—3321no—
1349C2×D4—33216no—
1350C2×D4—33216no—
1351C2×D4—3321no—
1352C2×D4—3321no—
1353C2×D4—3321no—
1354C2×D4—3321no—
1355C2×D4—3321no—
1356C2×D4—3321no—
1357C2×D4—3321no—
1358C2×D4—3321no—
1359C2×D4—1662no—
1360C2×D4—1662no—
1361C2×D4—1662no—
1362C2×D4—1662no—
1363C2×D4—1662no—
1364C2×D4—1662no—
1365C2×D4—16632no—
1366C2×D4—1662no—
1367C2×D4—1662no—
1368C2×D4—1662no—
1369C2×D4—1662no—
1370C2×D4—1662no—
1371C2×D4—1662no—
1372C2×D4—1662no—
1373C2×D4—1662no—
1374C2×D4—1662no—
1375C22×C4—22no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—3321no—
1381C22×C4—3321no—
1382C22×C4—3321no—
1383C22×C4—3321no—
1384C22×C4—3321no—
1385C22×C4—3321no—
1386C22×C4—3321no—
1387C22×C4—3321no—
1388C22×C4—33216no—
1389C22×C4—33216no—
1390C22×C4—3321no—
1391C22×C4—3321no—
1392C22×C4—3321no—
1393C22×C4—3321no—
1394C22×C4—834no—
1395C22×C4—834no—
1396C22×C4—834no—
1397C22×C4—831no—
1398C22×C4—831no—
1399C22×C4—831no—
1400C22×C4—834no—
1401C22×C4—834no—
1402C22×C4—834no—
1403C22×C4—831no—
1404C22×C4—831no—
1405C22×C4—831no—
1406C22×C4—831no—
1407C22×C4—831no—
1408C22×C4—831no—
1409C22×C4—831no—
1410C22×C4—831no—
1411C22×C4—831no—
1412C22×C4—1662no—
1413C22×C4—1662no—
1414C22×C4—1662no—
1415C22×C4—1662no—
1416C22×C4—1662no—
1417C22×C4—1662no—
1418C22×C4—1662no—
1419C22×C4—1662no—
1420C22×C4—1662no—
1421C22×C4—1662no—
1422C22×C4—1662no—
1423C22×C4—1662no—
1424C22×C4—1662no—
1425C22×C4—1662no—
1426C22×C4—1662no—
1427C22×C4—1662no—
1428C22×C4—1662no—
1429C22×C4—1662no—
1430C22×C4—1662no—
1431C22×C4—1662no—
1432C22×C4—1662no—
1433C22×C4—1662no—
1434C22×C4—1662no—
1435C22×C4—1662no—
1436C22×C4—1662no—
1437C22×C4—1662no—
1438C22×C4—1662no—
1439C22×C4—1662no—
1440C22×C4—1662no—
1441C22×C4—1662no—
1442C22×C4—1662no—
1443C22×C4—1662no—
1444C22×C4—1662no—
1445C22×C4—1662no—
1446C22×C4—1662no—
1447C22×C4—1662no—
1448C22×C4D4×D8314yescomplemented
1449C22×C4C23×D8311yescharacteristic
1450C22×C4C23×D8311yescharacteristic
1451C22×C4C23×D8311yescharacteristic
1452C22×C4C23×D8311yescharacteristic
1453C22×C4C23×D8311yescharacteristic
1454C22×C4C23×D8311yescharacteristic
1455C22×C4C23×D8311yescharacteristic
1456C22×C4C23×D8311yescharacteristic
1457C22×C4C23×D8311yescharacteristic
1458C22×C4C23×D8311yescharacteristic
1459C22×C4C23×D8311yescharacteristic
1460C22×C4C23×D8311yescharacteristic
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—41no—
1466C4⋊C4—41no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—3321no—
1470C4⋊C4—3321no—
1471C4⋊C4—3321no—
1472C4⋊C4—3321no—
1473C4⋊C4—3321no—
1474C4⋊C4—3321no—
1475C4⋊C4—3321no—
1476C4⋊C4—3321no—
1477C4⋊C4—3321no—
1478C4⋊C4—3321no—
1479C4⋊C4—3321no—
1480C4⋊C4—3321no—
1481C4⋊C4—1662no—
1482C4⋊C4—1662no—
1483C4⋊C4—1662no—
1484C4⋊C4—1662no—
1485C4⋊C4—1662no—
1486C4⋊C4—1662no—
1487C4⋊C4—1662no—
1488C4⋊C4—1662no—
1489C4⋊C4—1662no—
1490C4⋊C4—1662no—
1491C4⋊C4—1662no—
1492C4⋊C4—1662no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—3321no—
1507C22⋊C4—3321no—
1508C22⋊C4—3321no—
1509C22⋊C4—3321no—
1510C22⋊C4—3321no—
1511C22⋊C4—3321no—
1512C22⋊C4—3321no—
1513C22⋊C4—3321no—
1514C22⋊C4—3321no—
1515C22⋊C4—3321no—
1516C22⋊C4—3321no—
1517C22⋊C4—3321no—
1518C22⋊C4—3321no—
1519C22⋊C4—3321no—
1520C22⋊C4—3321no—
1521C22⋊C4—3321no—
1522C22⋊C4—3321no—
1523C22⋊C4—3321no—
1524C22⋊C4—1662no—
1525C22⋊C4—1662no—
1526C22⋊C4—1662no—
1527C22⋊C4—1662no—
1528C22⋊C4—1662no—
1529C22⋊C4—1662no—
1530C22⋊C4—1662no—
1531C22⋊C4—1662no—
1532C22⋊C4—1662no—
1533C22⋊C4—1662no—
1534C22⋊C4—1662no—
1535C22⋊C4—1662no—
1536C22⋊C4—1662no—
1537C22⋊C4—1662no—
1538C22⋊C4—1662no—
1539C22⋊C4—1662no—
1540C22⋊C4—1662no—
1541C22⋊C4—1662no—
1542C22⋊C4—1662no—
1543C22⋊C4—1662no—
1544C22⋊C4—1662no—
1545C42—22no—
1546C42—1662no—
1547C42—1662no—
1548C42—1662no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—3324no—
1569C23—3324no—
1570C23—3324no—
1571C23—3324no—
1572C23—3324no—
1573C23—3324no—
1574C23—3324no—
1575C23—3324no—
1576C23—3324no—
1577C23—3324no—
1578C23—3324no—
1579C23—3324no—
1580C23—3324no—
1581C23—3324no—
1582C23—3324no—
1583C23—832no—
1584C23—832no—
1585C23—832no—
1586C23—832no—
1587C23—832no—
1588C23—832no—
1589C23—832no—
1590C23—832no—
1591C23—832no—
1592C23—1668no—
1593C23—1668no—
1594C23—1668no—
1595C23—1668no—
1596C23—1668no—
1597C23—1668no—
1598C23—1661no—
1599C23—1661no—
1600C23—1661no—
1601C23—1661no—
1602C23—1661no—
1603C23—1661no—
1604C23—1661no—
1605C23—1661no—
1606C23—1661no—
1607C23—1661no—
1608C23—1661no—
1609C23—1661no—
1610C23—1661no—
1611C23—1661no—
1612C23—1661no—
1613C23—1661no—
1614C23—1661no—
1615C23—1661no—
1616C23—1661no—
1617C23C2×D4×D8312yes—
1618C23#41×D8312yes—
1619C23C24×D8311yescharacteristic
1620D4—28no—
1621D4—44no—
1622D4—44no—
1623D4—3324no—
1624D4—3324no—
1625D4—3324no—
1626D4—3324no—
1627D4—3324no—
1628D4—3324no—
1629D4—1668no—
1630D4—1668no—
1631D4—1668no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—3324no—
1668C2×C4—3324no—
1669C2×C4—3324no—
1670C2×C4—3324no—
1671C2×C4—3324no—
1672C2×C4—3324no—
1673C2×C4—3324no—
1674C2×C4—3324no—
1675C2×C4—3324no—
1676C2×C4—3324no—
1677C2×C4—3324no—
1678C2×C4—3324no—
1679C2×C4—3324no—
1680C2×C4—3324no—
1681C2×C4—3324no—
1682C2×C4—832no—
1683C2×C4—832no—
1684C2×C4—832no—
1685C2×C4—1668no—
1686C2×C4—1668no—
1687C2×C4—1668no—
1688C2×C4—1661no—
1689C2×C4—1661no—
1690C2×C4—1661no—
1691C2×C4—1661no—
1692C2×C4—1661no—
1693C2×C4—1661no—
1694C2×C4—1661no—
1695C2×C4—1661no—
1696C2×C4—1661no—
1697C2×C4—1661no—
1698C2×C4—1661no—
1699C2×C4—1661no—
1700C2×C4—1661no—
1701C2×C4—1661no—
1702C2×C4—1661no—
1703C2×C4—1661no—
1704C2×C4—1661no—
1705C2×C4—1661no—
1706C2×C4—1661no—
1707C2×C4—1661no—
1708C2×C4—1661no—
1709C2×C4—1661no—
1710C2×C4—1661no—
1711C2×C4—1661no—
1712C2×C4—1661no—
1713C2×C4—1661no—
1714C2×C4—1661no—
1715C2×C4—1661no—
1716C2×C4—1661no—
1717C2×C4—1661no—
1718C2×C4—1661no—
1719C2×C4—1661no—
1720C2×C4—1661no—
1721C2×C4C2×D4×D8312yes—
1722C2×C4C2×D4×D8312yes—
1723C2×C4#41×D8312yes—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—33216no—
1746C22—33216no—
1747C22—3321no—
1748C22—3321no—
1749C22—3321no—
1750C22—3321no—
1751C22—3321no—
1752C22—3321no—
1753C22—3321no—
1754C22—3321no—
1755C22—3321no—
1756C22—3321no—
1757C22—3321no—
1758C22—3321no—
1759C22—3321no—
1760C22—3321no—
1761C22—3321no—
1762C22—834no—
1763C22—834no—
1764C22—834no—
1765C22—834no—
1766C22—834no—
1767C22—834no—
1768C22—834no—
1769C22—6648no—
1770C22—1662no—
1771C22—1662no—
1772C22—1662no—
1773C22—1662no—
1774C22—1662no—
1775C22—1662no—
1776C22C22×D4×D8311yescharacteristic
1777C22C2×#41×D8311yescharacteristic
1778C22C2×#41×D8311yescharacteristic
1779C22H(5,𝔽2)×D8311yescharacteristic
1780C22H(5,𝔽2)×D8311yescharacteristic
1781C22H(5,𝔽2)×D8311yescharacteristic
1782C222−1+4×D8311yescharacteristic
1783C4—22no—
1784C4—22no—
1785C4—22no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—3321no—
1796C4—3321no—
1797C4—3321no—
1798C4—3321no—
1799C4—3321no—
1800C4—3321no—
1801C4—3321no—
1802C4—3321no—
1803C4—3321no—
1804C4—1662no—
1805C4—1662no—
1806C4—1662no—
1807C2—42no—
1808C2—42no—
1809C2—81no—
1810C2—3322no—
1811C2—3322no—
1812C2—838no—
1813C2—6641no—
1814C2#525×D8311yescharacteristic
1815C2#534×D8311yescharacteristic
1816C2#537×D8311yescharacteristic
1817C2#538×D8311yescharacteristic
1818C2#539×D8311yescharacteristic
1819C2#540×D8311yescharacteristic
1820C2#542×D8311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2630C2
prime radical#392×D83C2
hypercenter#2630D83
hypocenterC83C2×#2630
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2630

Complements

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

NH ≅ G/Ntype
1. C2×#123×D83C2semidirect
2. C2×C4×D4×D83C2semidirect
3. #24913313C2semidirect
4. #24913312C2semidirect
5. #24913311C2semidirect
6. #24913310C2semidirect
7. #24913309C2semidirect
8. #24913308C2semidirect
9. #24913307C2semidirect
10. #24913306C2semidirect
11. #24913305C2semidirect
12. #24913304C2semidirect
13. #24913303C2semidirect
14. #24913302C2semidirect
15. #24913301C2semidirect
16. #24913300C2semidirect
17. #24913299C2semidirect
18. #398×D83C2semidirect
19. #397×D83C2semidirect
20. #396×D83C2semidirect
21. #396×D83C2semidirect
22. #394×D83C2semidirect
23. #394×D83C2semidirect
24. #394×D83C2semidirect
26. #388×D83C2semidirect
27. #387×D83C2semidirect
28. #386×D83C2semidirect
29. #385×D83C2semidirect
30. #380×D83C2semidirect
31. C83×#2630C2semidirect
37. C2×#14581777C22semidirect
38. C2×#14581777C22semidirect
39. C2×#14581776C22semidirect
40. C2×#14581775C22semidirect
41. C2×#14581774C22semidirect
42. C2×#14581774C22semidirect
43. C2×#14581773C22semidirect
45. C2×C4×D332C22semidirect
46. C2×D4×Dic83C22semidirect
47. C2×#14581754C22semidirect
48. C2×C4×C22⋊D83C22semidirect
49. C2×C4×C22⋊D83C22semidirect
50. C2×(C22⋊D83)⋊C4C22semidirect
51. C2×(C22⋊D83)⋊C4C22semidirect
75. #19127635C22semidirect
76. #19127635C22semidirect
77. #19127634C22semidirect
78. #19127634C22semidirect
79. #19127633C22semidirect
80. #19127632C22semidirect
81. #19127631C22semidirect
82. #19127630C22semidirect
83. #19127630C22semidirect
84. #19127629C22semidirect
85. #19127629C22semidirect
86. #19127628C22semidirect
87. #19127627C22semidirect
88. #19127626C22semidirect
89. #19127625C22semidirect
90. #19127625C22semidirect
91. #19127624C22semidirect
92. #19127624C22semidirect
93. #19127624C22semidirect
94. #19127624C22semidirect
95. #19127624C22semidirect
96. #19127624C22semidirect
97. #19127623C22semidirect
98. #19127623C22semidirect
99. #19127623C22semidirect
100. #19127623C22semidirect
101. #19127623C22semidirect
102. #19127623C22semidirect
103. #19127619C22semidirect
104. #19127619C22semidirect
105. #19127619C22semidirect
106. #19127618C22semidirect
107. #19127618C22semidirect
108. #19127618C22semidirect
109. #19127617C22semidirect
110. #19127617C22semidirect
111. #19127617C22semidirect
112. #19127617C22semidirect
113. #19127617C22semidirect
114. #19127617C22semidirect
115. #19127616C22semidirect
116. #19127616C22semidirect
117. #19127616C22semidirect
118. #19127616C22semidirect
119. #19127616C22semidirect
120. #19127616C22semidirect
121. #19127615C22semidirect
122. #19127615C22semidirect
123. #19127615C22semidirect
131. #19127595C22semidirect
132. #19127594C22semidirect
133. #19127593C22semidirect
134. #19127592C22semidirect
135. #19127591C22semidirect
136. #19127590C22semidirect
137. #19127589C22semidirect
138. #19127588C22semidirect
139. #19127587C22semidirect
140. #19127586C22semidirect
141. #19127585C22semidirect
142. #19127584C22semidirect
143. #19127583C22semidirect
144. #19127582C22semidirect
145. #19127581C22semidirect
146. #19127580C22semidirect
147. #19127579C22semidirect
148. #19127579C22semidirect
149. #19127578C22semidirect
150. #19127577C22semidirect
151. #19127577C22semidirect
152. #19127576C22semidirect
153. #19127575C22semidirect
154. #19127575C22semidirect
155. #19127574C22semidirect
156. #19127573C22semidirect
157. #19127572C22semidirect
158. #19127572C22semidirect
159. #19127561C22semidirect
160. #19127560C22semidirect
161. #19127560C22semidirect
162. #19127559C22semidirect
163. #19127559C22semidirect
164. #19127558C22semidirect
165. #19127558C22semidirect
174. C2×#123×C83C22semidirect
175. C2×C4×D4×C83C22semidirect
176. #398×C83C22semidirect
177. #397×C83C22semidirect
178. #396×C83C22semidirect
179. #396×C83C22semidirect
180. #394×C83C22semidirect
181. #394×C83C22semidirect
182. #394×C83C22semidirect
184. #388×C83C22semidirect
185. #387×C83C22semidirect
186. #386×C83C22semidirect
187. #385×C83C22semidirect
188. #380×C83C22semidirect
217. C22×C4×D83D4semidirect
457. C22×Dic83C2×D4semidirect
517. C2×C4×D83C2×D4semidirect
518. C2×C4×D83C2×D4semidirect
603. C22×C4×C83C2×D4semidirect
910. D83#2630direct (N × H)
928. #2630D83direct (N × H)
942. C83C2×#2630semidirect
956. C2×#123C2×D83semidirect
965. C2×C4×D4C2×D83semidirect
995. #398C2×D83semidirect
1003. #397C2×D83semidirect
1018. #396C2×D83semidirect
1019. #396C2×D83semidirect
1041. #394C2×D83semidirect
1042. #394C2×D83semidirect
1043. #394C2×D83semidirect
1059. #388C2×D83semidirect
1067. #387C2×D83semidirect
1075. #386C2×D83semidirect
1083. #385C2×D83semidirect
1091. #380C2×D83semidirect
1448. C22×C4D4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D832
C2×C4×D4×D832
#249133132
#249133122
#249133112
#249133102
#249133092
#249133082
#249133072
#249133062
#249133052
#249133042
#249133032
#249133022
#249133012
#249133002
#249132992
#398×D832
#397×D832
#396×D832
#394×D832
#392×D832
#388×D832
#387×D832
#386×D832
#385×D832
#380×D832
C83×#26302
C2×#263083