Finite Group Databasebeta

← #2651×D83 #35571027

Subgroups — #2651×D83 #35571027

Order 21248.

2222 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24913503C211yesmaximal, characteristic, complemented
2#24913502C211yesmaximal, characteristic, complemented
3#24913501C211yesmaximal, characteristic, complemented
4#24913500C211yesmaximal, characteristic, complemented
5#24913499C211yesmaximal, characteristic, complemented
6#24913498C211yesmaximal, characteristic, complemented
7#24913497C211yesmaximal, characteristic, complemented
8#24913496C211yesmaximal, characteristic, complemented
9#24913495C211yesmaximal, characteristic, complemented
10#24913494C211yesmaximal, characteristic, complemented
11#24913493C211yesmaximal, characteristic, complemented
12#24913492C211yesmaximal, characteristic, complemented
13#24913491C211yesmaximal, characteristic, complemented
14#24913490C211yesmaximal, characteristic, complemented
15#24913489C211yesmaximal, characteristic, complemented
16#399×D83C211yesmaximal, characteristic, complemented
17#398×D83C211yesmaximal, characteristic, complemented
18#398×D83C211yesmaximal, characteristic, complemented
19#397×D83C211yesmaximal, characteristic, complemented
20#397×D83C211yesmaximal, characteristic, complemented
21#396×D83C211yesmaximal, characteristic, complemented
22#394×D83C211yesmaximal, characteristic
23#394×D83C211yesmaximal, characteristic
24#390×D83C211yesmaximal, characteristic
25#388×D83C211yesmaximal, characteristic, complemented
26#388×D83C211yesmaximal, characteristic, complemented
27#388×D83C211yesmaximal, characteristic, complemented
28#388×D83C211yesmaximal, characteristic, complemented
29#387×D83C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D83C211yesmaximal, characteristic, complemented
31C83×#2651C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33C2×C4⋊C4×D83C2211yescharacteristic
34C2×C4⋊C4×D83C2211yescharacteristic
35C2×C4⋊C4×D83C2211yescharacteristic
36C2×C4⋊C4×D83C2211yescharacteristic
37C2×C4⋊C4×D83C2211yescharacteristic
38C2×C4⋊C4×D83C2211yescharacteristic
39C2×C4⋊C4×D83C2211yescharacteristic
40C2×C4⋊C4×D83C2211yescharacteristic
41C2×C4⋊C4×D83C2211yescharacteristic
42C2×C22⋊C4×D83C2211yescharacteristic
43C2×C22⋊C4×D83C2211yescharacteristic
44C2×C22⋊C4×D83C2211yescharacteristic
45C2×C22⋊C4×D83C2211yescharacteristic
46C2×C22⋊C4×D83C2211yescharacteristic
47C2×C22⋊C4×D83C2211yescharacteristic
48C2×C22⋊C4×D83C2211yescharacteristic
49C2×C22⋊C4×D83C2211yescharacteristic
50C2×C22⋊C4×D83C2211yescharacteristic
51C2×C22⋊C4×D83C2211yescharacteristic
52C2×C22⋊C4×D83C2211yescharacteristic
53C2×C22⋊C4×D83C2211yescharacteristic
54C2×C42×D83C2211yescharacteristic
55C2×C42×D83C2211yescharacteristic
56C2×C42×D83C2211yescharacteristic
57#19127638C2211yescharacteristic, complemented
58#19127637C2211yescharacteristic, complemented
59#19127637C2211yescharacteristic, complemented
60#19127637C2211yescharacteristic, complemented
61#19127636C2211yescharacteristic, complemented
62#19127636C2211yescharacteristic, complemented
63#19127636C2211yescharacteristic, complemented
64#19127635C2211yescharacteristic, complemented
65#19127635C2211yescharacteristic, complemented
66#19127635C2211yescharacteristic, complemented
67#19127635C2211yescharacteristic, complemented
68#19127634C2211yescharacteristic, complemented
69#19127634C2211yescharacteristic, complemented
70#19127634C2211yescharacteristic, complemented
71#19127634C2211yescharacteristic, complemented
72#19127633C2211yescharacteristic, complemented
73#19127633C2211yescharacteristic, complemented
74#19127632C2211yescharacteristic, complemented
75#19127632C2211yescharacteristic, complemented
76#19127631C2211yescharacteristic, complemented
77#19127631C2211yescharacteristic, complemented
78#19127630C2211yescharacteristic, complemented
79#19127630C2211yescharacteristic, complemented
80#19127630C2211yescharacteristic, complemented
81#19127630C2211yescharacteristic, complemented
82#19127629C2211yescharacteristic, complemented
83#19127629C2211yescharacteristic, complemented
84#19127629C2211yescharacteristic, complemented
85#19127629C2211yescharacteristic, complemented
86#19127628C2211yescharacteristic, complemented
87#19127628C2211yescharacteristic, complemented
88#19127627C2211yescharacteristic, complemented
89#19127627C2211yescharacteristic, complemented
90#19127626C2211yescharacteristic, complemented
91#19127626C2211yescharacteristic, complemented
92#19127625C2211yescharacteristic, complemented
93#19127624C2211yescharacteristic, complemented
94#19127624C2211yescharacteristic, complemented
95#19127624C2211yescharacteristic, complemented
96#19127623C2211yescharacteristic, complemented
97#19127623C2211yescharacteristic, complemented
98#19127623C2211yescharacteristic, complemented
99#19127619C2211yescharacteristic
100#19127619C2211yescharacteristic
101#19127618C2211yescharacteristic
102#19127618C2211yescharacteristic
103#19127617C2211yescharacteristic
104#19127617C2211yescharacteristic
105#19127617C2211yescharacteristic
106#19127617C2211yescharacteristic
107#19127616C2211yescharacteristic
108#19127616C2211yescharacteristic
109#19127616C2211yescharacteristic
110#19127616C2211yescharacteristic
111#19127615C2211yescharacteristic
112#19127615C2211yescharacteristic
113#19127604C2211yescharacteristic
114#19127603C2211yescharacteristic
115#19127602C2211yescharacteristic
116#19127601C2211yescharacteristic
117#19127601C2211yescharacteristic
118#19127601C2211yescharacteristic
119#19127601C2211yescharacteristic
120#19127595C2211yescharacteristic, complemented
121#19127595C2211yescharacteristic, complemented
122#19127595C2211yescharacteristic, complemented
123#19127595C2211yescharacteristic, complemented
124#19127594C2211yescharacteristic, complemented
125#19127594C2211yescharacteristic, complemented
126#19127594C2211yescharacteristic, complemented
127#19127594C2211yescharacteristic, complemented
128#19127593C2211yescharacteristic, complemented
129#19127593C2211yescharacteristic, complemented
130#19127593C2211yescharacteristic, complemented
131#19127593C2211yescharacteristic, complemented
132#19127592C2211yescharacteristic, complemented
133#19127592C2211yescharacteristic, complemented
134#19127592C2211yescharacteristic, complemented
135#19127592C2211yescharacteristic, complemented
136#19127591C2211yescharacteristic, complemented
137#19127591C2211yescharacteristic, complemented
138#19127591C2211yescharacteristic, complemented
139#19127591C2211yescharacteristic, complemented
140#19127590C2211yescharacteristic, complemented
141#19127590C2211yescharacteristic, complemented
142#19127590C2211yescharacteristic, complemented
143#19127590C2211yescharacteristic, complemented
144#19127589C2211yescharacteristic, complemented
145#19127589C2211yescharacteristic, complemented
146#19127589C2211yescharacteristic, complemented
147#19127589C2211yescharacteristic, complemented
148#19127588C2211yescharacteristic, complemented
149#19127587C2211yescharacteristic, complemented
150#19127586C2211yescharacteristic, complemented
151#19127585C2211yescharacteristic, complemented
152#19127584C2211yescharacteristic, complemented
153#19127583C2211yescharacteristic, complemented
154#19127582C2211yescharacteristic, complemented
155C4⋊C4×Dic83C2211yescharacteristic, complemented
156C4⋊C4×Dic83C2211yescharacteristic, complemented
157C4×Dic83⋊C4C2211yescharacteristic, complemented
158C4×Dic83⋊C4C2211yescharacteristic, complemented
159C4×C4⋊Dic83C2211yescharacteristic, complemented
160#19127552C2211yescharacteristic, complemented
161#19127552C2211yescharacteristic, complemented
162#95×D83C2211yescharacteristic
163#95×D83C2211yescharacteristic
164#95×D83C2211yescharacteristic
165#95×D83C2211yescharacteristic
166#95×D83C2211yescharacteristic
167#95×D83C2211yescharacteristic
168#95×D83C2211yescharacteristic
169#95×D83C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172#399×C83C2211yescharacteristic, complemented
173#398×C83C2211yescharacteristic, complemented
174#398×C83C2211yescharacteristic, complemented
175#397×C83C2211yescharacteristic, complemented
176#397×C83C2211yescharacteristic, complemented
177#396×C83C2211yescharacteristic, complemented
178#394×C83C2211yescharacteristic
179#394×C83C2211yescharacteristic
180#390×C83C2211yescharacteristic
181#388×C83C2211yescharacteristic, complemented
182#388×C83C2211yescharacteristic, complemented
183#388×C83C2211yescharacteristic, complemented
184#388×C83C2211yescharacteristic, complemented
185#387×C83C2211yescharacteristic, complemented
186C4×C4⋊C4×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C24×D83C2311yescharacteristic
189C22×D332C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C2×D4×D83—24no—
193C2×D4×D83—42no—
194C2×D4×D83—42no—
195C22×C4×D83C2311yescharacteristic
196C22×C4×D83C2311yescharacteristic
197C22×C4×D83C2311yescharacteristic
198C22×C4×D83C2311yescharacteristic
199C22×C4×D83C2311yescharacteristic
200C22×C4×D83C2311yescharacteristic
201C22×C4×D83C2311yescharacteristic
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
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×Dic83⋊C4C2311yescharacteristic
218C2×Dic83⋊C4C2311yescharacteristic
219C2×Dic83⋊C4C2311yescharacteristic
220C2×Dic83⋊C4C2311yescharacteristic
221C2×Dic83⋊C4C2311yescharacteristic
222C2×Dic83⋊C4C2311yescharacteristic
223C2×Dic83⋊C4C2311yescharacteristic
224C2×Dic83⋊C4C2311yescharacteristic
225C2×Dic83⋊C4C2311yescharacteristic
226C2×Dic83⋊C4C2311yescharacteristic
227C2×Dic83⋊C4C2311yescharacteristic
228C2×Dic83⋊C4C2311yescharacteristic
229C2×Dic83⋊C4C2311yescharacteristic
230C2×Dic83⋊C4C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C4⋊C4×D83—24no—
236C4⋊C4×D83—24no—
237C4⋊C4×D83—24no—
238C4⋊C4×D83—42no—
239C4⋊C4×D83—42no—
240C4⋊C4×D83—42no—
241C4⋊C4×D83—42no—
242C4⋊C4×D83—42no—
243C4⋊C4×D83—42no—
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×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×(C2×D83)⋊C4C2311yescharacteristic
257C2×(C2×D83)⋊C4C2311yescharacteristic
258C2×(C2×D83)⋊C4C2311yescharacteristic
259C2×(C2×D83)⋊C4C2311yescharacteristic
260C2×(C2×D83)⋊C4C2311yescharacteristic
261C2×(C2×D83)⋊C4C2311yescharacteristic
262C2×(C2×D83)⋊C4C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C22⋊C4×D83—24no—
281C22⋊C4×D83—24no—
282C22⋊C4×D83—24no—
283C22⋊C4×D83—24no—
284C22⋊C4×D83—42no—
285C22⋊C4×D83—42no—
286C22⋊C4×D83—42no—
287C22⋊C4×D83—42no—
288C22⋊C4×D83—42no—
289C22⋊C4×D83—42no—
290C22⋊C4×D83—42no—
291C22⋊C4×D83—42no—
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C2×C4×Dic83C2311yescharacteristic
301C42×D83—24no—
302C42×D83—42no—
303C42×D83—42no—
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
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C2×C4⋊C4×C83C2311yescharacteristic
336C2×C4⋊C4×C83C2311yescharacteristic
337C2×C4⋊C4×C83C2311yescharacteristic
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C4⋊C4×C83C2311yescharacteristic
340C2×C4⋊C4×C83C2311yescharacteristic
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C22⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C42×C83C2311yescharacteristic
357C2×C42×C83C2311yescharacteristic
358C2×C42×C83C2311yescharacteristic
359#95×C83C2311yescharacteristic
360#95×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369C23×D83—22no—
370C23×D83—22no—
371C23×D83—22no—
372C23×D83—22no—
373C23×D83—22no—
374C23×D83—22no—
375C23×D83—22no—
376C23×D83—22no—
377C23×D83—22no—
378C23×D83—22no—
379C23×D83—22no—
380C23×D83—22no—
381C23×D83—22no—
382C23×D83—22no—
383C23×D83C2411yescharacteristic
384C23×D83C2411yescharacteristic
385C23×D83C2411yescharacteristic
386C2×D332—22no—
387C2×D332—41no—
388C2×D332—41no—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—22no—
391C2×C22⋊D83—41no—
392C2×C22⋊D83—41no—
393C2×C22⋊D83—41no—
394C2×C22⋊D83—41no—
395D4×D83—416no—
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
409C2×C4×D83—22no—
410C2×C4×D83—22no—
411C2×C4×D83—22no—
412C2×C4×D83—22no—
413C2×C4×D83—22no—
414C2×C4×D83—22no—
415C2×C4×D83—22no—
416C2×C4×D83—22no—
417C2×C4×D83—22no—
418C2×C4×D83—22no—
419C2×C4×D83—22no—
420C2×C4×D83—22no—
421C2×C4×D83—22no—
422C2×C4×D83—22no—
423C2×C4×D83—22no—
424C2×C4×D83—22no—
425C2×C4×D83—22no—
426C2×C4×D83—22no—
427C2×C4×D83—22no—
428C2×C4×D83—22no—
429C2×C4×D83—22no—
430C2×C4×D83—22no—
431C2×C4×D83—22no—
432C2×C4×D83—22no—
433C2×C4×D83—22no—
434C2×C4×D83—22no—
435C2×C4×D83—22no—
436C2×C4×D83—22no—
437C2×C4×D83—22no—
438C2×C4×D83—22no—
439C2×C4×D83—22no—
440C2×C4×D83—22no—
441C2×C4×D83—22no—
442C2×C4×D83—22no—
443C2×C4×D83—22no—
444C2×C4×D83—22no—
445C2×C4×D83#4114yes—
446C2×C4×D83#4114yes—
447C2×C4×D83#4114yes—
448C4⋊Dic83—22no—
449C4⋊Dic83—22no—
450C4⋊Dic83—22no—
451C4⋊Dic83—41no—
452C4⋊Dic83—41no—
453C4⋊Dic83—41no—
454C4⋊Dic83—41no—
455C4⋊Dic83—41no—
456C4⋊Dic83—41no—
457Dic83⋊C4—22no—
458Dic83⋊C4—22no—
459Dic83⋊C4—22no—
460Dic83⋊C4—22no—
461Dic83⋊C4—22no—
462Dic83⋊C4—22no—
463Dic83⋊C4—41no—
464Dic83⋊C4—41no—
465Dic83⋊C4—41no—
466Dic83⋊C4—41no—
467Dic83⋊C4—41no—
468Dic83⋊C4—41no—
469Dic83⋊C4—41no—
470Dic83⋊C4—41no—
471Dic83⋊C4—41no—
472Dic83⋊C4—41no—
473Dic83⋊C4—41no—
474Dic83⋊C4—41no—
475C22⋊Dic83—22no—
476C22⋊Dic83—22no—
477C22⋊Dic83—22no—
478C22⋊Dic83—22no—
479C22⋊Dic83—41no—
480C22⋊Dic83—41no—
481C22⋊Dic83—41no—
482C22⋊Dic83—41no—
483C22⋊Dic83—41no—
484C22⋊Dic83—41no—
485C22⋊Dic83—41no—
486C22⋊Dic83—41no—
487(C2×D83)⋊C4—22no—
488(C2×D83)⋊C4—22no—
489(C2×D83)⋊C4—22no—
490(C2×D83)⋊C4—22no—
491(C2×D83)⋊C4—22no—
492(C2×D83)⋊C4—22no—
493(C2×D83)⋊C4—22no—
494(C2×D83)⋊C4—22no—
495(C2×D83)⋊C4—41no—
496(C2×D83)⋊C4—41no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
499(C2×D83)⋊C4—41no—
500(C2×D83)⋊C4—41no—
501(C2×D83)⋊C4—41no—
502(C2×D83)⋊C4—41no—
503(C2×D83)⋊C4—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊C4—41no—
509(C2×D83)⋊C4—41no—
510(C2×D83)⋊C4—41no—
511C4×Dic83—22no—
512C4×Dic83—22no—
513C4×Dic83—22no—
514C4×Dic83—41no—
515C4×Dic83—41no—
516C4×Dic83—41no—
517C4×Dic83—41no—
518C4×Dic83—41no—
519C4×Dic83—41no—
520C24×C83C2411yescharacteristic
521C24×C83C2411yescharacteristic
522C2×D4×C83—22no—
523C2×D4×C83—41no—
524C2×D4×C83—41no—
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
535C22×C4×C83C2411yescharacteristic
536C22×C4×C83C2411yescharacteristic
537C22×C4×C83C2411yescharacteristic
538C4⋊C4×C83—22no—
539C4⋊C4×C83—22no—
540C4⋊C4×C83—22no—
541C4⋊C4×C83—41no—
542C4⋊C4×C83—41no—
543C4⋊C4×C83—41no—
544C4⋊C4×C83—41no—
545C4⋊C4×C83—41no—
546C4⋊C4×C83—41no—
547C22⋊C4×C83—22no—
548C22⋊C4×C83—22no—
549C22⋊C4×C83—22no—
550C22⋊C4×C83—22no—
551C22⋊C4×C83—41no—
552C22⋊C4×C83—41no—
553C22⋊C4×C83—41no—
554C22⋊C4×C83—41no—
555C22⋊C4×C83—41no—
556C22⋊C4×C83—41no—
557C22⋊C4×C83—41no—
558C22⋊C4×C83—41no—
559C42×C83—22no—
560C42×C83—41no—
561C42×C83—41no—
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×C83C2511yescharacteristic
577C22×D83—21no—
578C22×D83—21no—
579C22×D83—21no—
580C22×D83—21no—
581C22×D83—21no—
582C22×D83—21no—
583C22×D83—21no—
584C22×D83—21no—
585C22×D83—21no—
586C22×D83—21no—
587C22×D83—21no—
588C22×D83—21no—
589C22×D83—21no—
590C22×D83—21no—
591C22×D83—44no—
592C22×D83—44no—
593C22×D83—44no—
594C22×D83—44no—
595C22×D83—44no—
596C22×D83—44no—
597C22×D83—44no—
598C22×D83—44no—
599C22×D83—44no—
600C22×D83—44no—
601C22×D83—44no—
602C22×D83—44no—
603C22×D83—44no—
604C22×D83—44no—
605C22×D83C2×#4112yes—
606C22×D83C2×#4112yes—
607C22×D83C2×#4112yes—
608C22×D83H(5,𝔽2)12yes—
609C22×D83H(5,𝔽2)12yes—
610C22×D83H(5,𝔽2)12yes—
611C22×D832−1+412yes—
612D4×C83—44no—
613C2×C4×C83—21no—
614C2×C4×C83—21no—
615C2×C4×C83—21no—
616C2×C4×C83—21no—
617C2×C4×C83—21no—
618C2×C4×C83—21no—
619C2×C4×C83—21no—
620C2×C4×C83—21no—
621C2×C4×C83—21no—
622C2×C4×C83—21no—
623C2×C4×C83—21no—
624C2×C4×C83—21no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83C2×#4112yes—
650C2×C4×C83C2×#4112yes—
651C2×C4×C83C2×#4112yes—
652C22⋊D83—44no—
653C22⋊D83—44no—
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—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83C2×#4112yes—
691C2×Dic83C2×#4112yes—
692C2×Dic83C2×#4112yes—
693D332—44no—
694C4×D83—28no—
695C4×D83—28no—
696C4×D83—28no—
697C4×D83—44no—
698C4×D83—44no—
699C4×D83—44no—
700C4×D83—44no—
701C4×D83—44no—
702C4×D83—44no—
703C4×D83—44no—
704C4×D83—44no—
705C4×D83—44no—
706C4×D83—44no—
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—41no—
716C22×C83—41no—
717C22×C83—41no—
718C22×C83—41no—
719C22×C83—41no—
720C22×C83—41no—
721C22×C83C22×#4111yescharacteristic
722C22×C83C22×#4111yescharacteristic
723C22×C83C22×#4111yescharacteristic
724C22×C83C2×H(5,𝔽2)11yescharacteristic
725C22×C83C2×H(5,𝔽2)11yescharacteristic
726C22×C83C2×H(5,𝔽2)11yescharacteristic
727C22×C83C2×2−1+411yescharacteristic
728C2×D83—41no—
729C2×D83—41no—
730C2×D83—41no—
731C2×D83—41no—
732C2×D83—41no—
733C2×D83—41no—
734C2×D83—41no—
735C2×D83—41no—
736C2×D83—41no—
737C2×D83—41no—
738C2×D83—41no—
739C2×D83—41no—
740C2×D83—41no—
741C2×D83—41no—
742C2×D83—88no—
743C2×D83—88no—
744C2×D83#52914yes—
745C2×D83#53814yes—
746C2×D83#53914yes—
747C2×D83#54014yes—
748C2×D83#54014yes—
749C2×D83#54214yes—
750C2×D83#54214yes—
751C4×C83—22no—
752C4×C83—22no—
753C4×C83—22no—
754C4×C83—41no—
755C4×C83—41no—
756C4×C83—41no—
757C4×C83—41no—
758C4×C83—41no—
759C4×C83—41no—
760C4×C83—41no—
761C4×C83—41no—
762C4×C83—41no—
763C4×C83—41no—
764Dic83—22no—
765Dic83—22no—
766Dic83—22no—
767Dic83—41no—
768Dic83—41no—
769Dic83—41no—
770Dic83—41no—
771Dic83—41no—
772Dic83—41no—
773Dic83—41no—
774Dic83—41no—
775Dic83—41no—
776Dic83—41no—
777C2×#2651—831nomaximal, Sylow
778C2×C83—81no—
779C2×C83—81no—
780C2×C83C2×#52911yescharacteristic
781C2×C83C2×#53811yescharacteristic
782C2×C83C2×#53911yescharacteristic
783C2×C83C2×#54011yescharacteristic
784C2×C83C2×#54011yescharacteristic
785C2×C83C2×#54211yescharacteristic
786C2×C83C2×#54211yescharacteristic
787D83—81no—
788D83—81no—
789D83#265118yesdirect product factor
790#2651—831no—
791#2651—831no—
792#2651—831no—
793#2651—831no—
794#2651—831no—
795#2651—831no—
796#2651—831no—
797#2651—831no—
798#2651—831no—
799#2651—831no—
800#2651—831no—
801#2651—831no—
802#2651—831no—
803#2651—831no—
804#2651—831no—
805#2651D8311yescharacteristic, direct product factor
806C2×#399—831no—
807C2×#398—831no—
808C2×#398—831no—
809C2×#397—831no—
810C2×#397—831no—
811C2×#396—831no—
812C2×#394—831no—
813C2×#394—831no—
814C2×#390—831no—
815C2×#388—831no—
816C2×#388—831no—
817C2×#388—831no—
818C2×#388—831no—
819C2×#387—831no—
820C2×C4×C4⋊C4—831no—
821C83C2×#265111yescharacteristic, complemented, Sylow
822C23×D4—831no—
823C22×C4⋊C4—831no—
824C22×C4⋊C4—831no—
825C22×C4⋊C4—831no—
826C22×C4⋊C4—831no—
827C22×C4⋊C4—831no—
828C22×C4⋊C4—831no—
829C22×C4⋊C4—831no—
830C22×C4⋊C4—831no—
831C22×C4⋊C4—831no—
832C22×C22⋊C4—831no—
833C22×C22⋊C4—831no—
834C22×C22⋊C4—831no—
835C22×C22⋊C4—831no—
836C22×C22⋊C4—831no—
837C22×C22⋊C4—831no—
838C22×C22⋊C4—831no—
839C22×C22⋊C4—831no—
840C22×C22⋊C4—831no—
841C22×C22⋊C4—831no—
842C22×C22⋊C4—831no—
843C22×C22⋊C4—831no—
844C22×C42—831no—
845C22×C42—831no—
846C22×C42—831no—
847#399—831no—
848#399—831no—
849#399—831no—
850#399—831no—
851#399—831no—
852#399—831no—
853#399—831no—
854#399C2×D8311yescharacteristic, complemented
855#398—831no—
856#398—831no—
857#398—831no—
858#398—831no—
859#398—831no—
860#398—831no—
861#398—831no—
862#398—831no—
863#398—831no—
864#398—831no—
865#398—831no—
866#398—831no—
867#398—831no—
868#398—831no—
869#398C2×D8311yescharacteristic, complemented
870#398C2×D8311yescharacteristic, complemented
871#397—831no—
872#397—831no—
873#397—831no—
874#397—831no—
875#397—831no—
876#397—831no—
877#397—831no—
878#397—831no—
879#397—831no—
880#397—831no—
881#397—831no—
882#397—831no—
883#397—831no—
884#397—831no—
885#397C2×D8311yescharacteristic, complemented
886#397C2×D8311yescharacteristic, complemented
887#396—831no—
888#396—831no—
889#396—831no—
890#396—831no—
891#396—831no—
892#396—831no—
893#396—831no—
894#396C2×D8311yescharacteristic, complemented
895#394—831no—
896#394—831no—
897#394—831no—
898#394—831no—
899#394—831no—
900#394—831no—
901#394—831no—
902#394—831no—
903#394—831no—
904#394—831no—
905#394—831no—
906#394—831no—
907#394—831no—
908#394—831no—
909#394C2×D8311yescharacteristic
910#394C2×D8311yescharacteristic
911#390—831no—
912#390—831no—
913#390—831no—
914#390—831no—
915#390—831no—
916#390—831no—
917#390—831no—
918#390C2×D8311yescharacteristic
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388—831no—
930#388—831no—
931#388—831no—
932#388—831no—
933#388—831no—
934#388—831no—
935#388—831no—
936#388—831no—
937#388—831no—
938#388—831no—
939#388—831no—
940#388—831no—
941#388—831no—
942#388—831no—
943#388—831no—
944#388—831no—
945#388—831no—
946#388—831no—
947#388C2×D8311yescharacteristic, complemented
948#388C2×D8311yescharacteristic, complemented
949#388C2×D8311yescharacteristic, complemented
950#388C2×D8311yescharacteristic, complemented
951#387—831no—
952#387—831no—
953#387—831no—
954#387—831no—
955#387—831no—
956#387—831no—
957#387—831no—
958#387C2×D8311yescharacteristic, complemented
959C4×C4⋊C4—831no—
960C4×C4⋊C4—831no—
961C4×C4⋊C4—831no—
962C4×C4⋊C4—831no—
963C4×C4⋊C4—831no—
964C4×C4⋊C4—831no—
965C4×C4⋊C4—831no—
966C4×C4⋊C4C2×D8311yescharacteristic, complemented
967C2×#95—831no—
968C2×#95—831no—
969C2×#95—831no—
970C2×#95—831no—
971C2×#95—831no—
972C2×#95—831no—
973C2×#95—831no—
974C2×#95—831no—
975C2×#95—831no—
976C2×#95—831no—
977C25—831no—
978C25—831no—
979C22×D4—3322no—
980C22×D4—3322no—
981C22×D4—831no—
982C22×D4—831no—
983C22×D4—831no—
984C22×D4—1664no—
985C22×D4C22×D8311yescharacteristic
986C23×C4—831no—
987C23×C4—831no—
988C23×C4—831no—
989C23×C4—831no—
990C23×C4—831no—
991C23×C4—831no—
992C23×C4—831no—
993C23×C4—831no—
994C23×C4—831no—
995C23×C4—831no—
996C23×C4—831no—
997C23×C4—831no—
998C23×C4—831no—
999C2×C4⋊C4—3322no—
1000C2×C4⋊C4—3322no—
1001C2×C4⋊C4—3322no—
1002C2×C4⋊C4—3322no—
1003C2×C4⋊C4—3322no—
1004C2×C4⋊C4—3322no—
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⋊C4—831no—
1017C2×C4⋊C4—831no—
1018C2×C4⋊C4—831no—
1019C2×C4⋊C4—831no—
1020C2×C4⋊C4—831no—
1021C2×C4⋊C4—831no—
1022C2×C4⋊C4—831no—
1023C2×C4⋊C4—831no—
1024C2×C4⋊C4—831no—
1025C2×C4⋊C4—831no—
1026C2×C4⋊C4—831no—
1027C2×C4⋊C4—831no—
1028C2×C4⋊C4—831no—
1029C2×C4⋊C4—831no—
1030C2×C4⋊C4—831no—
1031C2×C4⋊C4—831no—
1032C2×C4⋊C4—1664no—
1033C2×C4⋊C4—1664no—
1034C2×C4⋊C4—1664no—
1035C2×C4⋊C4C22×D8311yescharacteristic
1036C2×C4⋊C4C22×D8311yescharacteristic
1037C2×C4⋊C4C22×D8311yescharacteristic
1038C2×C4⋊C4C22×D8311yescharacteristic
1039C2×C4⋊C4C22×D8311yescharacteristic
1040C2×C4⋊C4C22×D8311yescharacteristic
1041C2×C4⋊C4C22×D8311yescharacteristic
1042C2×C4⋊C4C22×D8311yescharacteristic
1043C2×C4⋊C4C22×D8311yescharacteristic
1044C2×C22⋊C4—3322no—
1045C2×C22⋊C4—3322no—
1046C2×C22⋊C4—3322no—
1047C2×C22⋊C4—3322no—
1048C2×C22⋊C4—3322no—
1049C2×C22⋊C4—3322no—
1050C2×C22⋊C4—3322no—
1051C2×C22⋊C4—3322no—
1052C2×C22⋊C4—831no—
1053C2×C22⋊C4—831no—
1054C2×C22⋊C4—831no—
1055C2×C22⋊C4—831no—
1056C2×C22⋊C4—831no—
1057C2×C22⋊C4—831no—
1058C2×C22⋊C4—831no—
1059C2×C22⋊C4—831no—
1060C2×C22⋊C4—831no—
1061C2×C22⋊C4—831no—
1062C2×C22⋊C4—831no—
1063C2×C22⋊C4—831no—
1064C2×C22⋊C4—831no—
1065C2×C22⋊C4—831no—
1066C2×C22⋊C4—831no—
1067C2×C22⋊C4—831no—
1068C2×C22⋊C4—831no—
1069C2×C22⋊C4—831no—
1070C2×C22⋊C4—831no—
1071C2×C22⋊C4—831no—
1072C2×C22⋊C4—831no—
1073C2×C22⋊C4—831no—
1074C2×C22⋊C4—831no—
1075C2×C22⋊C4—831no—
1076C2×C22⋊C4—831no—
1077C2×C22⋊C4—831no—
1078C2×C22⋊C4—831no—
1079C2×C22⋊C4—831no—
1080C2×C22⋊C4—831no—
1081C2×C22⋊C4—831no—
1082C2×C22⋊C4—831no—
1083C2×C22⋊C4—831no—
1084C2×C22⋊C4—831no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—831no—
1088C2×C22⋊C4—1664no—
1089C2×C22⋊C4—1664no—
1090C2×C22⋊C4—1664no—
1091C2×C22⋊C4—1664no—
1092C2×C22⋊C4C22×D8311yescharacteristic
1093C2×C22⋊C4C22×D8311yescharacteristic
1094C2×C22⋊C4C22×D8311yescharacteristic
1095C2×C22⋊C4C22×D8311yescharacteristic
1096C2×C22⋊C4C22×D8311yescharacteristic
1097C2×C22⋊C4C22×D8311yescharacteristic
1098C2×C22⋊C4C22×D8311yescharacteristic
1099C2×C22⋊C4C22×D8311yescharacteristic
1100C2×C22⋊C4C22×D8311yescharacteristic
1101C2×C22⋊C4C22×D8311yescharacteristic
1102C2×C22⋊C4C22×D8311yescharacteristic
1103C2×C22⋊C4C22×D8311yescharacteristic
1104C2×C42—3322no—
1105C2×C42—3322no—
1106C2×C42—831no—
1107C2×C42—831no—
1108C2×C42—831no—
1109C2×C42—831no—
1110C2×C42—831no—
1111C2×C42—831no—
1112C2×C42—831no—
1113C2×C42—831no—
1114C2×C42—831no—
1115C2×C42—1664no—
1116C2×C42C22×D8311yescharacteristic
1117C2×C42C22×D8311yescharacteristic
1118C2×C42C22×D8311yescharacteristic
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—
1132#95—831no—
1133#95—831no—
1134#95—831no—
1135#95—831no—
1136#95—831no—
1137#95—831no—
1138#95—831no—
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95C22×D8311yescharacteristic
1150#95C22×D8311yescharacteristic
1151#95C22×D8311yescharacteristic
1152#95C22×D8311yescharacteristic
1153#95C22×D8311yescharacteristic
1154#95C22×D8311yescharacteristic
1155#95C22×D8311yescharacteristic
1156#95C22×D8311yescharacteristic
1157#95C22×D8311yescharacteristic
1158#95C22×D8311yescharacteristic
1159C24—831no—
1160C24—831no—
1161C24—831no—
1162C24—1662no—
1163C24—1662no—
1164C24—1662no—
1165C24—1662no—
1166C24—1662no—
1167C24—1662no—
1168C24—1662no—
1169C24—1662no—
1170C24—1662no—
1171C24—1662no—
1172C24—1662no—
1173C24—1662no—
1174C24—1662no—
1175C24—1662no—
1176C24C23×D8311yescharacteristic
1177C24C23×D8311yescharacteristic
1178C2×D4—22no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—3321no—
1182C2×D4—3321no—
1183C2×D4—33216no—
1184C2×D4—3321no—
1185C2×D4—3321no—
1186C2×D4—3321no—
1187C2×D4—3321no—
1188C2×D4—1662no—
1189C2×D4—1662no—
1190C2×D4—1662no—
1191C22×C4—831no—
1192C22×C4—831no—
1193C22×C4—831no—
1194C22×C4—834no—
1195C22×C4—834no—
1196C22×C4—834no—
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—1662no—
1208C22×C4—1662no—
1209C22×C4—1662no—
1210C22×C4—1662no—
1211C22×C4—1662no—
1212C22×C4—1662no—
1213C22×C4—1662no—
1214C22×C4—1662no—
1215C22×C4—1662no—
1216C22×C4—1662no—
1217C22×C4—1662no—
1218C22×C4—1662no—
1219C22×C4—1662no—
1220C22×C4—1662no—
1221C22×C4—1662no—
1222C22×C4—1662no—
1223C22×C4—1662no—
1224C22×C4—1662no—
1225C22×C4—1662no—
1226C22×C4—1662no—
1227C22×C4—1662no—
1228C22×C4—1662no—
1229C22×C4—1662no—
1230C22×C4—1662no—
1231C22×C4—1662no—
1232C22×C4—1662no—
1233C22×C4—1662no—
1234C22×C4—1662no—
1235C22×C4—1662no—
1236C22×C4—1662no—
1237C22×C4—1662no—
1238C22×C4—1662no—
1239C22×C4—1662no—
1240C22×C4—1662no—
1241C22×C4—1662no—
1242C22×C4—1662no—
1243C22×C4C23×D8311yescharacteristic
1244C22×C4C23×D8311yescharacteristic
1245C22×C4C23×D8311yescharacteristic
1246C22×C4C23×D8311yescharacteristic
1247C22×C4C23×D8311yescharacteristic
1248C22×C4C23×D8311yescharacteristic
1249C22×C4C23×D8311yescharacteristic
1250C22×C4C23×D8311yescharacteristic
1251C22×C4C23×D8311yescharacteristic
1252C22×C4C23×D8311yescharacteristic
1253C22×C4C23×D8311yescharacteristic
1254C22×C4C23×D8311yescharacteristic
1255C22×C4C23×D8311yescharacteristic
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—3321no—
1266C4⋊C4—3321no—
1267C4⋊C4—3321no—
1268C4⋊C4—3321no—
1269C4⋊C4—3321no—
1270C4⋊C4—3321no—
1271C4⋊C4—3321no—
1272C4⋊C4—3321no—
1273C4⋊C4—3321no—
1274C4⋊C4—3321no—
1275C4⋊C4—3321no—
1276C4⋊C4—3321no—
1277C4⋊C4—3321no—
1278C4⋊C4—3321no—
1279C4⋊C4—3321no—
1280C4⋊C4—3321no—
1281C4⋊C4—3321no—
1282C4⋊C4—3321no—
1283C4⋊C4—1662no—
1284C4⋊C4—1662no—
1285C4⋊C4—1662no—
1286C4⋊C4—1662no—
1287C4⋊C4—1662no—
1288C4⋊C4—1662no—
1289C4⋊C4—1662no—
1290C4⋊C4—1662no—
1291C4⋊C4—1662no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—3321no—
1305C22⋊C4—3321no—
1306C22⋊C4—3321no—
1307C22⋊C4—3321no—
1308C22⋊C4—3321no—
1309C22⋊C4—3321no—
1310C22⋊C4—3321no—
1311C22⋊C4—3321no—
1312C22⋊C4—3321no—
1313C22⋊C4—3321no—
1314C22⋊C4—3321no—
1315C22⋊C4—3321no—
1316C22⋊C4—3321no—
1317C22⋊C4—3321no—
1318C22⋊C4—3321no—
1319C22⋊C4—3321no—
1320C22⋊C4—3321no—
1321C22⋊C4—3321no—
1322C22⋊C4—3321no—
1323C22⋊C4—3321no—
1324C22⋊C4—3321no—
1325C22⋊C4—3321no—
1326C22⋊C4—3321no—
1327C22⋊C4—3321no—
1328C22⋊C4—1662no—
1329C22⋊C4—1662no—
1330C22⋊C4—1662no—
1331C22⋊C4—1662no—
1332C22⋊C4—1662no—
1333C22⋊C4—1662no—
1334C22⋊C4—1662no—
1335C22⋊C4—1662no—
1336C22⋊C4—1662no—
1337C22⋊C4—1662no—
1338C22⋊C4—1662no—
1339C22⋊C4—1662no—
1340C42—22no—
1341C42—41no—
1342C42—41no—
1343C42—3321no—
1344C42—3321no—
1345C42—3321no—
1346C42—3321no—
1347C42—3321no—
1348C42—3321no—
1349C42—1662no—
1350C42—1662no—
1351C42—1662no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—3324no—
1367C23—3324no—
1368C23—3324no—
1369C23—3324no—
1370C23—3324no—
1371C23—3324no—
1372C23—3324no—
1373C23—3324no—
1374C23—3324no—
1375C23—3324no—
1376C23—3324no—
1377C23—3324no—
1378C23—3324no—
1379C23—3324no—
1380C23—832no—
1381C23—832no—
1382C23—832no—
1383C23—832no—
1384C23—832no—
1385C23—832no—
1386C23—832no—
1387C23—1661no—
1388C23—1661no—
1389C23—1661no—
1390C23—1661no—
1391C23—1661no—
1392C23—1661no—
1393C23—1661no—
1394C23—1661no—
1395C23—1661no—
1396C23—1661no—
1397C23—1661no—
1398C23—1661no—
1399C23—1661no—
1400C23—1661no—
1401C23C24×D8311yescharacteristic
1402D4—44no—
1403D4—3324no—
1404D4—3324no—
1405D4—3324no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—3324no—
1443C2×C4—3324no—
1444C2×C4—3324no—
1445C2×C4—3324no—
1446C2×C4—3324no—
1447C2×C4—3324no—
1448C2×C4—3324no—
1449C2×C4—3324no—
1450C2×C4—3324no—
1451C2×C4—3324no—
1452C2×C4—832no—
1453C2×C4—832no—
1454C2×C4—832no—
1455C2×C4—1668no—
1456C2×C4—1668no—
1457C2×C4—1668no—
1458C2×C4—1661no—
1459C2×C4—1661no—
1460C2×C4—1661no—
1461C2×C4—1661no—
1462C2×C4—1661no—
1463C2×C4—1661no—
1464C2×C4—1661no—
1465C2×C4—1661no—
1466C2×C4—1661no—
1467C2×C4—1661no—
1468C2×C4—1661no—
1469C2×C4—1661no—
1470C2×C4—1661no—
1471C2×C4—1661no—
1472C2×C4—1661no—
1473C2×C4—1661no—
1474C2×C4—1661no—
1475C2×C4—1661no—
1476C2×C4—1661no—
1477C2×C4—1661no—
1478C2×C4—1661no—
1479C2×C4—1661no—
1480C2×C4—1661no—
1481C2×C4—1661no—
1482C2×C4—1661no—
1483C2×C4—1661no—
1484C2×C4—1661no—
1485C2×C4—1661no—
1486C2×C4—1661no—
1487C2×C4—1661no—
1488C2×C4—1661no—
1489C2×C4—1661no—
1490C2×C4—1661no—
1491C2×C4—1661no—
1492C2×C4—1661no—
1493C2×C4—1661no—
1494C2×C4#41×D8312yes—
1495C2×C4#41×D8312yes—
1496C2×C4#41×D8312yes—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—3321no—
1512C22—3321no—
1513C22—3321no—
1514C22—3321no—
1515C22—3321no—
1516C22—3321no—
1517C22—3321no—
1518C22—3321no—
1519C22—3321no—
1520C22—3321no—
1521C22—3321no—
1522C22—3321no—
1523C22—3321no—
1524C22—3321no—
1525C22—834no—
1526C22—834no—
1527C22—834no—
1528C22—834no—
1529C22—834no—
1530C22—834no—
1531C22—834no—
1532C22—6648no—
1533C22—6648no—
1534C22C2×#41×D8311yescharacteristic
1535C22C2×#41×D8311yescharacteristic
1536C22C2×#41×D8311yescharacteristic
1537C22H(5,𝔽2)×D8311yescharacteristic
1538C22H(5,𝔽2)×D8311yescharacteristic
1539C22H(5,𝔽2)×D8311yescharacteristic
1540C222−1+4×D8311yescharacteristic
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—3321no—
1555C4—3321no—
1556C4—3321no—
1557C4—3321no—
1558C4—3321no—
1559C4—3321no—
1560C4—3321no—
1561C4—3321no—
1562C4—3321no—
1563C4—3321no—
1564C4—1662no—
1565C4—1662no—
1566C4—1662no—
1567C2—81no—
1568C2—81no—
1569C2—838no—
1570C2—6641no—
1571C2—6641no—
1572C2#529×D8311yescharacteristic
1573C2#538×D8311yescharacteristic
1574C2#539×D8311yescharacteristic
1575C2#540×D8311yescharacteristic
1576C2#540×D8311yescharacteristic
1577C2#542×D8311yescharacteristic
1578C2#542×D8311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2651C2
prime radicalC22×D4×D83C22
hypercenter#2651D83
hypocenterC83C2×#2651
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2651

Complements

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

NH ≅ G/Ntype
1. #24913503C2semidirect
2. #24913502C2semidirect
3. #24913501C2semidirect
4. #24913500C2semidirect
5. #24913499C2semidirect
6. #24913498C2semidirect
7. #24913497C2semidirect
8. #24913496C2semidirect
9. #24913495C2semidirect
10. #24913494C2semidirect
11. #24913493C2semidirect
12. #24913492C2semidirect
13. #24913491C2semidirect
14. #24913490C2semidirect
15. #24913489C2semidirect
16. #399×D83C2semidirect
17. #398×D83C2semidirect
18. #398×D83C2semidirect
19. #397×D83C2semidirect
20. #397×D83C2semidirect
21. #396×D83C2semidirect
25. #388×D83C2semidirect
26. #388×D83C2semidirect
27. #388×D83C2semidirect
28. #388×D83C2semidirect
29. #387×D83C2semidirect
30. C4×C4⋊C4×D83C2semidirect
31. C83×#2651C2semidirect
57. #19127638C22semidirect
58. #19127637C22semidirect
59. #19127637C22semidirect
60. #19127637C22semidirect
61. #19127636C22semidirect
62. #19127636C22semidirect
63. #19127636C22semidirect
64. #19127635C22semidirect
65. #19127635C22semidirect
66. #19127635C22semidirect
67. #19127635C22semidirect
68. #19127634C22semidirect
69. #19127634C22semidirect
70. #19127634C22semidirect
71. #19127634C22semidirect
72. #19127633C22semidirect
73. #19127633C22semidirect
74. #19127632C22semidirect
75. #19127632C22semidirect
76. #19127631C22semidirect
77. #19127631C22semidirect
78. #19127630C22semidirect
79. #19127630C22semidirect
80. #19127630C22semidirect
81. #19127630C22semidirect
82. #19127629C22semidirect
83. #19127629C22semidirect
84. #19127629C22semidirect
85. #19127629C22semidirect
86. #19127628C22semidirect
87. #19127628C22semidirect
88. #19127627C22semidirect
89. #19127627C22semidirect
90. #19127626C22semidirect
91. #19127626C22semidirect
92. #19127625C22semidirect
93. #19127624C22semidirect
94. #19127624C22semidirect
95. #19127624C22semidirect
96. #19127623C22semidirect
97. #19127623C22semidirect
98. #19127623C22semidirect
120. #19127595C22semidirect
121. #19127595C22semidirect
122. #19127595C22semidirect
123. #19127595C22semidirect
124. #19127594C22semidirect
125. #19127594C22semidirect
126. #19127594C22semidirect
127. #19127594C22semidirect
128. #19127593C22semidirect
129. #19127593C22semidirect
130. #19127593C22semidirect
131. #19127593C22semidirect
132. #19127592C22semidirect
133. #19127592C22semidirect
134. #19127592C22semidirect
135. #19127592C22semidirect
136. #19127591C22semidirect
137. #19127591C22semidirect
138. #19127591C22semidirect
139. #19127591C22semidirect
140. #19127590C22semidirect
141. #19127590C22semidirect
142. #19127590C22semidirect
143. #19127590C22semidirect
144. #19127589C22semidirect
145. #19127589C22semidirect
146. #19127589C22semidirect
147. #19127589C22semidirect
148. #19127588C22semidirect
149. #19127587C22semidirect
150. #19127586C22semidirect
151. #19127585C22semidirect
152. #19127584C22semidirect
153. #19127583C22semidirect
154. #19127582C22semidirect
155. C4⋊C4×Dic83C22semidirect
156. C4⋊C4×Dic83C22semidirect
157. C4×Dic83⋊C4C22semidirect
158. C4×Dic83⋊C4C22semidirect
159. C4×C4⋊Dic83C22semidirect
160. #19127552C22semidirect
161. #19127552C22semidirect
172. #399×C83C22semidirect
173. #398×C83C22semidirect
174. #398×C83C22semidirect
175. #397×C83C22semidirect
176. #397×C83C22semidirect
177. #396×C83C22semidirect
181. #388×C83C22semidirect
182. #388×C83C22semidirect
183. #388×C83C22semidirect
184. #388×C83C22semidirect
185. #387×C83C22semidirect
186. C4×C4⋊C4×C83C22semidirect
789. D83#2651direct (N × H)
805. #2651D83direct (N × H)
821. C83C2×#2651semidirect
854. #399C2×D83semidirect
869. #398C2×D83semidirect
870. #398C2×D83semidirect
885. #397C2×D83semidirect
886. #397C2×D83semidirect
894. #396C2×D83semidirect
947. #388C2×D83semidirect
948. #388C2×D83semidirect
949. #388C2×D83semidirect
950. #388C2×D83semidirect
958. #387C2×D83semidirect
966. C4×C4⋊C4C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249135032
#249135022
#249135012
#249135002
#249134992
#249134982
#249134972
#249134962
#249134952
#249134942
#249134932
#249134922
#249134912
#249134902
#249134892
#399×D832
#398×D832
#397×D832
#396×D832
#394×D832
#390×D832
#388×D832
#387×D832
C4×C4⋊C4×D832
C83×#26512
C2×#265183