Finite Group Databasebeta

← #2526×D83 #35574071

Subgroups — #2526×D83 #35574071

Order 21248.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24912242C211yesmaximal, characteristic, complemented
2#24912241C211yesmaximal, characteristic, complemented
3#24912240C211yesmaximal, characteristic, complemented
4#24912239C211yesmaximal, characteristic, complemented
5#24912238C211yesmaximal, characteristic, complemented
6#24912237C211yesmaximal, characteristic, complemented
7#24912236C211yesmaximal, characteristic, complemented
8#24912235C211yesmaximal, characteristic, complemented
9#24912234C211yesmaximal, characteristic, complemented
10#24912233C211yesmaximal, characteristic, complemented
11#24912232C211yesmaximal, characteristic, complemented
12#24912231C211yesmaximal, characteristic, complemented
13#24912230C211yesmaximal, characteristic, complemented
14#24912229C211yesmaximal, characteristic, complemented
15#24912228C211yesmaximal, characteristic, complemented
16#400×D83C211yesmaximal, characteristic, complemented
17#397×D83C211yesmaximal, characteristic, complemented
18#396×D83C211yesmaximal, characteristic, complemented
19#394×D83C211yesmaximal, characteristic
20#390×D83C211yesmaximal, characteristic
21#389×D83C211yesmaximal, characteristic, complemented
22#388×D83C211yesmaximal, characteristic, complemented
23#388×D83C211yesmaximal, characteristic, complemented
24#388×D83C211yesmaximal, characteristic, complemented
25#388×D83C211yesmaximal, characteristic, complemented
26#387×D83C211yesmaximal, characteristic, complemented
27#386×D83C211yesmaximal, characteristic
28#381×D83C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D83C211yesmaximal, characteristic, complemented
30#376×D83C211yesmaximal, characteristic, complemented
31C83×#2526C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33C23×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×C22⋊C4×D83C2211yescharacteristic
41C2×C22⋊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×C42×D83C2211yescharacteristic
52C2×C42×D83C2211yescharacteristic
53C2×C42×D83C2211yescharacteristic
54C2×C42×D83C2211yescharacteristic
55#19127643C2211yescharacteristic, complemented
56#19127643C2211yescharacteristic, complemented
57#19127642C2211yescharacteristic, complemented
58#19127642C2211yescharacteristic, complemented
59#19127641C2211yescharacteristic, complemented
60#19127640C2211yescharacteristic, complemented
61#19127639C2211yescharacteristic, complemented
62#19127630C2211yescharacteristic, complemented
63#19127630C2211yescharacteristic, complemented
64#19127629C2211yescharacteristic, complemented
65#19127629C2211yescharacteristic, complemented
66#19127628C2211yescharacteristic, complemented
67#19127627C2211yescharacteristic, complemented
68#19127626C2211yescharacteristic, complemented
69#19127625C2211yescharacteristic, complemented
70#19127624C2211yescharacteristic, complemented
71#19127624C2211yescharacteristic, complemented
72#19127624C2211yescharacteristic, complemented
73#19127623C2211yescharacteristic, complemented
74#19127623C2211yescharacteristic, complemented
75#19127623C2211yescharacteristic, complemented
76#19127619C2211yescharacteristic
77#19127618C2211yescharacteristic
78#19127617C2211yescharacteristic
79#19127617C2211yescharacteristic
80#19127616C2211yescharacteristic
81#19127616C2211yescharacteristic
82#19127615C2211yescharacteristic
83#19127604C2211yescharacteristic
84#19127603C2211yescharacteristic
85#19127602C2211yescharacteristic
86#19127601C2211yescharacteristic
87#19127601C2211yescharacteristic
88#19127601C2211yescharacteristic
89#19127601C2211yescharacteristic
90#19127600C2211yescharacteristic, complemented
91#19127599C2211yescharacteristic, complemented
92#19127598C2211yescharacteristic, complemented
93#19127598C2211yescharacteristic, complemented
94#19127597C2211yescharacteristic, complemented
95#19127596C2211yescharacteristic, complemented
96#19127596C2211yescharacteristic, complemented
97#19127595C2211yescharacteristic, complemented
98#19127595C2211yescharacteristic, complemented
99#19127595C2211yescharacteristic, complemented
100#19127595C2211yescharacteristic, complemented
101#19127594C2211yescharacteristic, complemented
102#19127594C2211yescharacteristic, complemented
103#19127594C2211yescharacteristic, complemented
104#19127594C2211yescharacteristic, complemented
105#19127593C2211yescharacteristic, complemented
106#19127593C2211yescharacteristic, complemented
107#19127593C2211yescharacteristic, complemented
108#19127593C2211yescharacteristic, complemented
109#19127592C2211yescharacteristic, complemented
110#19127592C2211yescharacteristic, complemented
111#19127592C2211yescharacteristic, complemented
112#19127592C2211yescharacteristic, complemented
113#19127591C2211yescharacteristic, complemented
114#19127591C2211yescharacteristic, complemented
115#19127591C2211yescharacteristic, complemented
116#19127591C2211yescharacteristic, complemented
117#19127590C2211yescharacteristic, complemented
118#19127590C2211yescharacteristic, complemented
119#19127590C2211yescharacteristic, complemented
120#19127590C2211yescharacteristic, complemented
121#19127589C2211yescharacteristic, complemented
122#19127589C2211yescharacteristic, complemented
123#19127589C2211yescharacteristic, complemented
124#19127589C2211yescharacteristic, complemented
125#19127588C2211yescharacteristic, complemented
126#19127587C2211yescharacteristic, complemented
127#19127586C2211yescharacteristic, complemented
128#19127585C2211yescharacteristic, complemented
129#19127584C2211yescharacteristic, complemented
130#19127583C2211yescharacteristic, complemented
131#19127582C2211yescharacteristic, complemented
132#19127581C2211yescharacteristic
133#19127580C2211yescharacteristic
134#19127579C2211yescharacteristic
135#19127579C2211yescharacteristic
136#19127578C2211yescharacteristic
137#19127577C2211yescharacteristic
138#19127577C2211yescharacteristic
139#19127564C2211yescharacteristic, complemented
140#19127563C2211yescharacteristic, complemented
141#19127563C2211yescharacteristic, complemented
142#19127563C2211yescharacteristic, complemented
143#19127563C2211yescharacteristic, complemented
144#19127562C2211yescharacteristic, complemented
145#19127562C2211yescharacteristic, complemented
146C22⋊C4×Dic83C2211yescharacteristic, complemented
147C22⋊C4×Dic83C2211yescharacteristic, complemented
148C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
150C4×C22⋊Dic83C2211yescharacteristic, complemented
151#19127548C2211yescharacteristic, complemented
152#19127548C2211yescharacteristic, complemented
153#19127547C2211yescharacteristic, complemented
154#19127547C2211yescharacteristic, complemented
155#19127547C2211yescharacteristic, complemented
156#19127546C2211yescharacteristic, complemented
157#19127546C2211yescharacteristic, complemented
158#19127546C2211yescharacteristic, complemented
159#19127546C2211yescharacteristic, complemented
160#95×D83C2211yescharacteristic
161#95×D83C2211yescharacteristic
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#400×C83C2211yescharacteristic, complemented
173#397×C83C2211yescharacteristic, complemented
174#396×C83C2211yescharacteristic, complemented
175#394×C83C2211yescharacteristic
176#390×C83C2211yescharacteristic
177#389×C83C2211yescharacteristic, complemented
178#388×C83C2211yescharacteristic, complemented
179#388×C83C2211yescharacteristic, complemented
180#388×C83C2211yescharacteristic, complemented
181#388×C83C2211yescharacteristic, complemented
182#387×C83C2211yescharacteristic, complemented
183#386×C83C2211yescharacteristic
184#381×C83C2211yescharacteristic, complemented
185C4×C22⋊C4×C83C2211yescharacteristic, complemented
186#376×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C24×D83C2311yescharacteristic
189C22×D332C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C2×D4×D83—24no—
193C2×D4×D83—24no—
194C2×D4×D83—42no—
195C23×Dic83C2311yescharacteristic
196C22×C4×D83—24no—
197C22×C4×D83—24no—
198C22×C4×D83—42no—
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
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C2×C4⋊Dic83C2311yescharacteristic
215C2×C4⋊Dic83C2311yescharacteristic
216C2×C4⋊Dic83C2311yescharacteristic
217C2×C4⋊Dic83C2311yescharacteristic
218C2×C4⋊Dic83C2311yescharacteristic
219C2×C4⋊Dic83C2311yescharacteristic
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
232C4⋊C4×D83—24no—
233C4⋊C4×D83—24no—
234C4⋊C4×D83—42no—
235C4⋊C4×D83—42no—
236C4⋊C4×D83—42no—
237C4⋊C4×D83—42no—
238C2×C22⋊Dic83C2311yescharacteristic
239C2×C22⋊Dic83C2311yescharacteristic
240C2×C22⋊Dic83C2311yescharacteristic
241C2×C22⋊Dic83C2311yescharacteristic
242C2×C22⋊Dic83C2311yescharacteristic
243C2×C22⋊Dic83C2311yescharacteristic
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×(C2×D83)⋊C4C2311yescharacteristic
250C2×(C2×D83)⋊C4C2311yescharacteristic
251C2×(C2×D83)⋊C4C2311yescharacteristic
252C2×(C2×D83)⋊C4C2311yescharacteristic
253C2×(C2×D83)⋊C4C2311yescharacteristic
254C2×(C2×D83)⋊C4C2311yescharacteristic
255C2×(C2×D83)⋊C4C2311yescharacteristic
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
271C22⋊C4×D83—24no—
272C22⋊C4×D83—24no—
273C22⋊C4×D83—24no—
274C22⋊C4×D83—24no—
275C22⋊C4×D83—24no—
276C22⋊C4×D83—24no—
277C22⋊C4×D83—42no—
278C22⋊C4×D83—42no—
279C22⋊C4×D83—42no—
280C22⋊C4×D83—42no—
281C22⋊C4×D83—42no—
282C2×C4×Dic83C2311yescharacteristic
283C2×C4×Dic83C2311yescharacteristic
284C2×C4×Dic83C2311yescharacteristic
285C2×C4×Dic83C2311yescharacteristic
286C2×C4×Dic83C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C42×D83—24no—
295C42×D83—24no—
296C42×D83—24no—
297C42×D83—42no—
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
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
335C23×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×C22⋊C4×C83C2311yescharacteristic
343C2×C22⋊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×C42×C83C2311yescharacteristic
354C2×C42×C83C2311yescharacteristic
355C2×C42×C83C2311yescharacteristic
356C2×C42×C83C2311yescharacteristic
357#95×C83C2311yescharacteristic
358#95×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#4114yes—
383C23×D83C2411yescharacteristic
384C23×D83C2411yescharacteristic
385C23×D83C2411yescharacteristic
386C2×D332—22no—
387C2×D332—22no—
388C2×D332—41no—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—22no—
391C2×C22⋊D83—22no—
392C2×C22⋊D83—22no—
393C2×C22⋊D83—41no—
394C2×C22⋊D83—41no—
395D4×D83—416no—
396C22×Dic83—22no—
397C22×Dic83—22no—
398C22×Dic83—41no—
399C22×Dic83C2411yescharacteristic
400C22×Dic83C2411yescharacteristic
401C22×Dic83C2411yescharacteristic
402C22×Dic83C2411yescharacteristic
403C22×Dic83C2411yescharacteristic
404C22×Dic83C2411yescharacteristic
405C22×Dic83C2411yescharacteristic
406C22×Dic83C2411yescharacteristic
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
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—22no—
446C2×C4×D83—22no—
447C2×C4×D83—22no—
448C2×C4×D83—22no—
449C2×C4×D83—22no—
450C2×C4×D83—22no—
451C2×C4×D83—416no—
452C2×C4×D83—41no—
453C2×C4×D83—41no—
454C2×C4×D83#4114yes—
455C2×C4×D83#4114yes—
456C2×C4×D83#4114yes—
457C2×C4×D83#4114yes—
458C4⋊Dic83—22no—
459C4⋊Dic83—22no—
460C4⋊Dic83—41no—
461C4⋊Dic83—41no—
462C4⋊Dic83—41no—
463C4⋊Dic83—41no—
464Dic83⋊C4—22no—
465Dic83⋊C4—22no—
466Dic83⋊C4—22no—
467Dic83⋊C4—22no—
468Dic83⋊C4—41no—
469Dic83⋊C4—41no—
470Dic83⋊C4—41no—
471Dic83⋊C4—41no—
472Dic83⋊C4—41no—
473Dic83⋊C4—41no—
474Dic83⋊C4—41no—
475Dic83⋊C4—41no—
476C22⋊Dic83—22no—
477C22⋊Dic83—22no—
478C22⋊Dic83—22no—
479C22⋊Dic83—22no—
480C22⋊Dic83—22no—
481C22⋊Dic83—22no—
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—22no—
496(C2×D83)⋊C4—22no—
497(C2×D83)⋊C4—22no—
498(C2×D83)⋊C4—22no—
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—
509C4×Dic83—22no—
510C4×Dic83—22no—
511C4×Dic83—22no—
512C4×Dic83—22no—
513C4×Dic83—22no—
514C4×Dic83—22no—
515C4×Dic83—22no—
516C4×Dic83—22no—
517C4×Dic83—22no—
518C4×Dic83—41no—
519C4×Dic83—41no—
520C4×Dic83—41no—
521C24×C83C2411yescharacteristic
522C24×C83C2411yescharacteristic
523C2×D4×C83—22no—
524C2×D4×C83—22no—
525C2×D4×C83—41no—
526C22×C4×C83—22no—
527C22×C4×C83—22no—
528C22×C4×C83—41no—
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
538C22×C4×C83C2411yescharacteristic
539C22×C4×C83C2411yescharacteristic
540C22×C4×C83C2411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C4⋊C4×C83—22no—
543C4⋊C4×C83—22no—
544C4⋊C4×C83—41no—
545C4⋊C4×C83—41no—
546C4⋊C4×C83—41no—
547C4⋊C4×C83—41no—
548C22⋊C4×C83—22no—
549C22⋊C4×C83—22no—
550C22⋊C4×C83—22no—
551C22⋊C4×C83—22no—
552C22⋊C4×C83—22no—
553C22⋊C4×C83—22no—
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—22no—
561C42×C83—22no—
562C42×C83—41no—
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×C83C2×#4112yes—
577C23×C83C2511yescharacteristic
578C22×D83—21no—
579C22×D83—21no—
580C22×D83—21no—
581C22×D83—21no—
582C22×D83—21no—
583C22×D83—21no—
584C22×D83—28no—
585C22×D83—28no—
586C22×D83—28no—
587C22×D83—21no—
588C22×D83—21no—
589C22×D83—21no—
590C22×D83—21no—
591C22×D83—21no—
592C22×D83—21no—
593C22×D83—21no—
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×D83C2×#4112yes—
609C22×D83C2×#4112yes—
610C22×D83C2×#4112yes—
611C22×D83H(5,𝔽2)12yes—
612C22×D83H(5,𝔽2)12yes—
613D4×C83—44no—
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×C83—44no—
650C2×C4×C83C2×#4112yes—
651C2×C4×C83C2×#4112yes—
652C2×C4×C83C2×#4112yes—
653C2×C4×C83C2×#4112yes—
654C22⋊D83—44no—
655C22⋊D83—44no—
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×Dic83—21no—
691C2×Dic83—44no—
692C2×Dic83C2×#4112yes—
693C2×Dic83C2×#4112yes—
694C2×Dic83C2×#4112yes—
695C2×Dic83C2×#4112yes—
696D332—44no—
697C4×D83—28no—
698C4×D83—28no—
699C4×D83—28no—
700C4×D83—28no—
701C4×D83—44no—
702C4×D83—44no—
703C4×D83—44no—
704C4×D83—44no—
705C4×D83—44no—
706C4×D83—44no—
707C4×D83—44no—
708C4×D83—44no—
709C4×D83—44no—
710C4×D83—44no—
711C4×D83—44no—
712C22×C83—22no—
713C22×C83—22no—
714C22×C83—22no—
715C22×C83—41no—
716C22×C83—41no—
717C22×C83—41no—
718C22×C83—41no—
719C22×C83—41no—
720C22×C83—41no—
721C22×C83—41no—
722C22×C83—41no—
723C22×C83—41no—
724C22×C83—41no—
725C22×C83—41no—
726C22×C83C22×#4111yescharacteristic
727C22×C83C22×#4111yescharacteristic
728C22×C83C22×#4111yescharacteristic
729C22×C83C22×#4111yescharacteristic
730C22×C83C22×#4111yescharacteristic
731C22×C83C2×H(5,𝔽2)11yescharacteristic
732C22×C83C2×H(5,𝔽2)11yescharacteristic
733C2×D83—22no—
734C2×D83—22no—
735C2×D83—22no—
736C2×D83—41no—
737C2×D83—41no—
738C2×D83—41no—
739C2×D83—41no—
740C2×D83—416no—
741C2×D83—41no—
742C2×D83—41no—
743C2×D83—41no—
744C2×D83—41no—
745C2×D83—41no—
746C2×D83—41no—
747C2×D83—41no—
748C2×D83—88no—
749C2×D83#52914yes—
750C2×D83#52914yes—
751C2×D83#54014yes—
752C2×D83#55114yes—
753C2×D83#55114yes—
754C2×D83#55314yes—
755C2×D83#55514yes—
756C4×C83—22no—
757C4×C83—22no—
758C4×C83—22no—
759C4×C83—22no—
760C4×C83—41no—
761C4×C83—41no—
762C4×C83—41no—
763C4×C83—41no—
764C4×C83—41no—
765C4×C83—41no—
766C4×C83—41no—
767C4×C83—41no—
768C4×C83—41no—
769Dic83—22no—
770Dic83—22no—
771Dic83—22no—
772Dic83—22no—
773Dic83—41no—
774Dic83—41no—
775Dic83—41no—
776Dic83—41no—
777Dic83—41no—
778Dic83—41no—
779Dic83—41no—
780Dic83—41no—
781Dic83—41no—
782C2×#2526—831nomaximal, Sylow
783C2×C83—42no—
784C2×C83—81no—
785C2×C83C2×#52911yescharacteristic
786C2×C83C2×#52911yescharacteristic
787C2×C83C2×#54011yescharacteristic
788C2×C83C2×#55111yescharacteristic
789C2×C83C2×#55111yescharacteristic
790C2×C83C2×#55311yescharacteristic
791C2×C83C2×#55511yescharacteristic
792D83—42no—
793D83—81no—
794D83#252618yesdirect product factor
795#2526—831no—
796#2526—831no—
797#2526—831no—
798#2526—831no—
799#2526—831no—
800#2526—831no—
801#2526—831no—
802#2526—831no—
803#2526—831no—
804#2526—831no—
805#2526—831no—
806#2526—831no—
807#2526—831no—
808#2526—831no—
809#2526—831no—
810#2526D8311yescharacteristic, direct product factor
811C2×#400—831no—
812C2×#397—831no—
813C2×#396—831no—
814C2×#394—831no—
815C2×#390—831no—
816C2×#389—831no—
817C2×#388—831no—
818C2×#388—831no—
819C2×#388—831no—
820C2×#388—831no—
821C2×#387—831no—
822C2×#386—831no—
823C2×#381—831no—
824C2×C4×C22⋊C4—831no—
825C2×#376—831no—
826C83C2×#252611yescharacteristic, complemented, Sylow
827C23×D4—831no—
828C24×C4—831no—
829C22×C4⋊C4—831no—
830C22×C4⋊C4—831no—
831C22×C4⋊C4—831no—
832C22×C4⋊C4—831no—
833C22×C4⋊C4—831no—
834C22×C4⋊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×C22⋊C4—831no—
845C22×C22⋊C4—831no—
846C22×C42—831no—
847C22×C42—831no—
848C22×C42—831no—
849C22×C42—831no—
850#400—831no—
851#400—831no—
852#400—831no—
853#400—831no—
854#400—831no—
855#400—831no—
856#400—831no—
857#400C2×D8311yescharacteristic, complemented
858#397—831no—
859#397—831no—
860#397—831no—
861#397—831no—
862#397—831no—
863#397—831no—
864#397—831no—
865#397C2×D8311yescharacteristic, complemented
866#396—831no—
867#396—831no—
868#396—831no—
869#396—831no—
870#396—831no—
871#396—831no—
872#396—831no—
873#396C2×D8311yescharacteristic, complemented
874#394—831no—
875#394—831no—
876#394—831no—
877#394—831no—
878#394—831no—
879#394—831no—
880#394—831no—
881#394C2×D8311yescharacteristic
882#390—831no—
883#390—831no—
884#390—831no—
885#390—831no—
886#390—831no—
887#390—831no—
888#390—831no—
889#390C2×D8311yescharacteristic
890#389—831no—
891#389—831no—
892#389—831no—
893#389—831no—
894#389—831no—
895#389—831no—
896#389—831no—
897#389C2×D8311yescharacteristic, complemented
898#388—831no—
899#388—831no—
900#388—831no—
901#388—831no—
902#388—831no—
903#388—831no—
904#388—831no—
905#388—831no—
906#388—831no—
907#388—831no—
908#388—831no—
909#388—831no—
910#388—831no—
911#388—831no—
912#388—831no—
913#388—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388C2×D8311yescharacteristic, complemented
927#388C2×D8311yescharacteristic, complemented
928#388C2×D8311yescharacteristic, complemented
929#388C2×D8311yescharacteristic, complemented
930#387—831no—
931#387—831no—
932#387—831no—
933#387—831no—
934#387—831no—
935#387—831no—
936#387—831no—
937#387C2×D8311yescharacteristic, complemented
938#386—831no—
939#386—831no—
940#386—831no—
941#386—831no—
942#386—831no—
943#386—831no—
944#386—831no—
945#386C2×D8311yescharacteristic
946#381—831no—
947#381—831no—
948#381—831no—
949#381—831no—
950#381—831no—
951#381—831no—
952#381—831no—
953#381C2×D8311yescharacteristic, complemented
954C4×C22⋊C4—831no—
955C4×C22⋊C4—831no—
956C4×C22⋊C4—831no—
957C4×C22⋊C4—831no—
958C4×C22⋊C4—831no—
959C4×C22⋊C4—831no—
960C4×C22⋊C4—831no—
961C4×C22⋊C4C2×D8311yescharacteristic, complemented
962#376—831no—
963#376—831no—
964#376—831no—
965#376—831no—
966#376—831no—
967#376—831no—
968#376—831no—
969#376C2×D8311yescharacteristic, complemented
970C2×#95—831no—
971C2×#95—831no—
972C2×#95—831no—
973C2×#95—831no—
974C2×#95—831no—
975C2×#95—831no—
976C2×#95—831no—
977C2×#95—831no—
978C2×#95—831no—
979C2×#95—831no—
980C2×#95—831no—
981C2×#95—831no—
982C25—831no—
983C25—831no—
984C22×D4—3322no—
985C22×D4—831no—
986C22×D4—831no—
987C22×D4—831no—
988C22×D4—1664no—
989C22×D4—1664no—
990C22×D4C22×D8311yescharacteristic
991C23×C4—3322no—
992C23×C4—831no—
993C23×C4—831no—
994C23×C4—831no—
995C23×C4—831no—
996C23×C4—831no—
997C23×C4—831no—
998C23×C4—831no—
999C23×C4—831no—
1000C23×C4—831no—
1001C23×C4—831no—
1002C23×C4—831no—
1003C23×C4—831no—
1004C23×C4—831no—
1005C23×C4—831no—
1006C23×C4—831no—
1007C23×C4—831no—
1008C23×C4—1664no—
1009C23×C4—1664no—
1010C23×C4C22×D8311yescharacteristic
1011C2×C4⋊C4—3322no—
1012C2×C4⋊C4—3322no—
1013C2×C4⋊C4—3322no—
1014C2×C4⋊C4—3322no—
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—831no—
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×C22⋊C4—3322no—
1042C2×C22⋊C4—3322no—
1043C2×C22⋊C4—3322no—
1044C2×C22⋊C4—3322no—
1045C2×C22⋊C4—3322no—
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⋊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—1664no—
1080C2×C22⋊C4—1664no—
1081C2×C22⋊C4—1664no—
1082C2×C22⋊C4—1664no—
1083C2×C22⋊C4—1664no—
1084C2×C22⋊C4—1664no—
1085C2×C22⋊C4C22×D8311yescharacteristic
1086C2×C22⋊C4C22×D8311yescharacteristic
1087C2×C22⋊C4C22×D8311yescharacteristic
1088C2×C22⋊C4C22×D8311yescharacteristic
1089C2×C22⋊C4C22×D8311yescharacteristic
1090C2×C22⋊C4C22×D8311yescharacteristic
1091C2×C22⋊C4C22×D8311yescharacteristic
1092C2×C22⋊C4C22×D8311yescharacteristic
1093C2×C22⋊C4C22×D8311yescharacteristic
1094C2×C22⋊C4C22×D8311yescharacteristic
1095C2×C22⋊C4C22×D8311yescharacteristic
1096C2×C42—3322no—
1097C2×C42—831no—
1098C2×C42—831no—
1099C2×C42—831no—
1100C2×C42—831no—
1101C2×C42—831no—
1102C2×C42—831no—
1103C2×C42—831no—
1104C2×C42—831no—
1105C2×C42—831no—
1106C2×C42—831no—
1107C2×C42—831no—
1108C2×C42—831no—
1109C2×C42—1664no—
1110C2×C42—1664no—
1111C2×C42—1664no—
1112C2×C42C22×D8311yescharacteristic
1113C2×C42C22×D8311yescharacteristic
1114C2×C42C22×D8311yescharacteristic
1115C2×C42C22×D8311yescharacteristic
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—
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#95—831no—
1150#95—831no—
1151#95—831no—
1152#95C22×D8311yescharacteristic
1153#95C22×D8311yescharacteristic
1154#95C22×D8311yescharacteristic
1155#95C22×D8311yescharacteristic
1156#95C22×D8311yescharacteristic
1157#95C22×D8311yescharacteristic
1158#95C22×D8311yescharacteristic
1159#95C22×D8311yescharacteristic
1160#95C22×D8311yescharacteristic
1161#95C22×D8311yescharacteristic
1162#95C22×D8311yescharacteristic
1163#95C22×D8311yescharacteristic
1164C24—831no—
1165C24—834no—
1166C24—831no—
1167C24—831no—
1168C24—1662no—
1169C24—1662no—
1170C24—1662no—
1171C24—1662no—
1172C24—1662no—
1173C24—1662no—
1174C24—1662no—
1175C24—1662no—
1176C24—1662no—
1177C24—1662no—
1178C24—1662no—
1179C24—1662no—
1180C24—1662no—
1181C24C23×D8311yescharacteristic
1182C24C23×D8311yescharacteristic
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—3321no—
1187C2×D4—33216no—
1188C2×D4—3321no—
1189C2×D4—3321no—
1190C2×D4—1662no—
1191C2×D4—1662no—
1192C2×D4—1662no—
1193C2×D4—1662no—
1194C2×D4—1662no—
1195C2×D4—1662no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—41no—
1199C22×C4—3321no—
1200C22×C4—3321no—
1201C22×C4—33216no—
1202C22×C4—3321no—
1203C22×C4—831no—
1204C22×C4—831no—
1205C22×C4—831no—
1206C22×C4—831no—
1207C22×C4—834no—
1208C22×C4—834no—
1209C22×C4—834no—
1210C22×C4—834no—
1211C22×C4—831no—
1212C22×C4—831no—
1213C22×C4—831no—
1214C22×C4—831no—
1215C22×C4—831no—
1216C22×C4—831no—
1217C22×C4—831no—
1218C22×C4—831no—
1219C22×C4—831no—
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×C4—1662no—
1244C22×C4—1662no—
1245C22×C4—1662no—
1246C22×C4—1662no—
1247C22×C4—1662no—
1248C22×C4—1662no—
1249C22×C4—1662no—
1250C22×C4—1662no—
1251C22×C4—1662no—
1252C22×C4—1662no—
1253C22×C4—1662no—
1254C22×C4—1662no—
1255C22×C4—1662no—
1256C22×C4—1662no—
1257C22×C4—1662no—
1258C22×C4—1662no—
1259C22×C4—1662no—
1260C22×C4—1662no—
1261C22×C4C23×D8311yescharacteristic
1262C22×C4C23×D8311yescharacteristic
1263C22×C4C23×D8311yescharacteristic
1264C22×C4C23×D8311yescharacteristic
1265C22×C4C23×D8311yescharacteristic
1266C22×C4C23×D8311yescharacteristic
1267C22×C4C23×D8311yescharacteristic
1268C22×C4C23×D8311yescharacteristic
1269C22×C4C23×D8311yescharacteristic
1270C22×C4C23×D8311yescharacteristic
1271C22×C4C23×D8311yescharacteristic
1272C22×C4C23×D8311yescharacteristic
1273C22×C4C23×D8311yescharacteristic
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—3321no—
1281C4⋊C4—3321no—
1282C4⋊C4—3321no—
1283C4⋊C4—3321no—
1284C4⋊C4—3321no—
1285C4⋊C4—3321no—
1286C4⋊C4—3321no—
1287C4⋊C4—3321no—
1288C4⋊C4—3321no—
1289C4⋊C4—3321no—
1290C4⋊C4—3321no—
1291C4⋊C4—3321no—
1292C4⋊C4—1662no—
1293C4⋊C4—1662no—
1294C4⋊C4—1662no—
1295C4⋊C4—1662no—
1296C4⋊C4—1662no—
1297C4⋊C4—1662no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
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—1662no—
1325C22⋊C4—1662no—
1326C22⋊C4—1662no—
1327C22⋊C4—1662no—
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—
1340C22⋊C4—1662no—
1341C22⋊C4—1662no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—41no—
1346C42—3321no—
1347C42—3321no—
1348C42—3321no—
1349C42—1662no—
1350C42—1662no—
1351C42—1662no—
1352C42—1662no—
1353C42—1662no—
1354C42—1662no—
1355C42—1662no—
1356C42—1662no—
1357C42—1662no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—3324no—
1372C23—3324no—
1373C23—3324no—
1374C23—3324no—
1375C23—3324no—
1376C23—3324no—
1377C23—3324no—
1378C23—3324no—
1379C23—3324no—
1380C23—3324no—
1381C23—3324no—
1382C23—832no—
1383C23—832no—
1384C23—832no—
1385C23—832no—
1386C23—832no—
1387C23—832no—
1388C23—832no—
1389C23—832no—
1390C23—1668no—
1391C23—1668no—
1392C23—1668no—
1393C23—1661no—
1394C23—1661no—
1395C23—1661no—
1396C23—1661no—
1397C23—1661no—
1398C23—1661no—
1399C23—1661no—
1400C23—1661no—
1401C23—1661no—
1402C23—1661no—
1403C23—1661no—
1404C23—1661no—
1405C23—1661no—
1406C23#41×D8312yes—
1407C23C24×D8311yescharacteristic
1408D4—44no—
1409D4—3324no—
1410D4—3324no—
1411D4—3324no—
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—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—44no—
1448C2×C4—3324no—
1449C2×C4—3324no—
1450C2×C4—3324no—
1451C2×C4—3324no—
1452C2×C4—3324no—
1453C2×C4—3324no—
1454C2×C4—3324no—
1455C2×C4—3324no—
1456C2×C4—3324no—
1457C2×C4—3324no—
1458C2×C4—3324no—
1459C2×C4—3324no—
1460C2×C4—832no—
1461C2×C4—832no—
1462C2×C4—832no—
1463C2×C4—832no—
1464C2×C4—1668no—
1465C2×C4—1668no—
1466C2×C4—1668no—
1467C2×C4—1668no—
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—1661no—
1495C2×C4—1661no—
1496C2×C4—1661no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4—1661no—
1500C2×C4—1661no—
1501C2×C4—1661no—
1502C2×C4—1661no—
1503C2×C4#41×D8312yes—
1504C2×C4#41×D8312yes—
1505C2×C4#41×D8312yes—
1506C2×C4#41×D8312yes—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—33216no—
1522C22—3321no—
1523C22—3321no—
1524C22—3321no—
1525C22—3321no—
1526C22—3321no—
1527C22—3321no—
1528C22—3321no—
1529C22—3321no—
1530C22—3321no—
1531C22—3321no—
1532C22—3321no—
1533C22—834no—
1534C22—834no—
1535C22—834no—
1536C22—834no—
1537C22—834no—
1538C22—834no—
1539C22—834no—
1540C22—6648no—
1541C22—1662no—
1542C22—1662no—
1543C22—1662no—
1544C22C2×#41×D8311yescharacteristic
1545C22C2×#41×D8311yescharacteristic
1546C22C2×#41×D8311yescharacteristic
1547C22C2×#41×D8311yescharacteristic
1548C22C2×#41×D8311yescharacteristic
1549C22H(5,𝔽2)×D8311yescharacteristic
1550C22H(5,𝔽2)×D8311yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—3321no—
1565C4—3321no—
1566C4—3321no—
1567C4—3321no—
1568C4—3321no—
1569C4—3321no—
1570C4—3321no—
1571C4—3321no—
1572C4—3321no—
1573C4—1662no—
1574C4—1662no—
1575C4—1662no—
1576C4—1662no—
1577C2—42no—
1578C2—81no—
1579C2—3322no—
1580C2—838no—
1581C2—6641no—
1582C2#529×D8311yescharacteristic
1583C2#529×D8311yescharacteristic
1584C2#540×D8311yescharacteristic
1585C2#551×D8311yescharacteristic
1586C2#551×D8311yescharacteristic
1587C2#553×D8311yescharacteristic
1588C2#555×D8311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2526C2
prime radicalC22×D4×D83C22
hypercenter#2526D83
hypocenterC83C2×#2526
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2526

Complements

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

NH ≅ G/Ntype
1. #24912242C2semidirect
2. #24912241C2semidirect
3. #24912240C2semidirect
4. #24912239C2semidirect
5. #24912238C2semidirect
6. #24912237C2semidirect
7. #24912236C2semidirect
8. #24912235C2semidirect
9. #24912234C2semidirect
10. #24912233C2semidirect
11. #24912232C2semidirect
12. #24912231C2semidirect
13. #24912230C2semidirect
14. #24912229C2semidirect
15. #24912228C2semidirect
16. #400×D83C2semidirect
17. #397×D83C2semidirect
18. #396×D83C2semidirect
21. #389×D83C2semidirect
22. #388×D83C2semidirect
23. #388×D83C2semidirect
24. #388×D83C2semidirect
25. #388×D83C2semidirect
26. #387×D83C2semidirect
28. #381×D83C2semidirect
29. C4×C22⋊C4×D83C2semidirect
30. #376×D83C2semidirect
31. C83×#2526C2semidirect
55. #19127643C22semidirect
56. #19127643C22semidirect
57. #19127642C22semidirect
58. #19127642C22semidirect
59. #19127641C22semidirect
60. #19127640C22semidirect
61. #19127639C22semidirect
62. #19127630C22semidirect
63. #19127630C22semidirect
64. #19127629C22semidirect
65. #19127629C22semidirect
66. #19127628C22semidirect
67. #19127627C22semidirect
68. #19127626C22semidirect
69. #19127625C22semidirect
70. #19127624C22semidirect
71. #19127624C22semidirect
72. #19127624C22semidirect
73. #19127623C22semidirect
74. #19127623C22semidirect
75. #19127623C22semidirect
90. #19127600C22semidirect
91. #19127599C22semidirect
92. #19127598C22semidirect
93. #19127598C22semidirect
94. #19127597C22semidirect
95. #19127596C22semidirect
96. #19127596C22semidirect
97. #19127595C22semidirect
98. #19127595C22semidirect
99. #19127595C22semidirect
100. #19127595C22semidirect
101. #19127594C22semidirect
102. #19127594C22semidirect
103. #19127594C22semidirect
104. #19127594C22semidirect
105. #19127593C22semidirect
106. #19127593C22semidirect
107. #19127593C22semidirect
108. #19127593C22semidirect
109. #19127592C22semidirect
110. #19127592C22semidirect
111. #19127592C22semidirect
112. #19127592C22semidirect
113. #19127591C22semidirect
114. #19127591C22semidirect
115. #19127591C22semidirect
116. #19127591C22semidirect
117. #19127590C22semidirect
118. #19127590C22semidirect
119. #19127590C22semidirect
120. #19127590C22semidirect
121. #19127589C22semidirect
122. #19127589C22semidirect
123. #19127589C22semidirect
124. #19127589C22semidirect
125. #19127588C22semidirect
126. #19127587C22semidirect
127. #19127586C22semidirect
128. #19127585C22semidirect
129. #19127584C22semidirect
130. #19127583C22semidirect
131. #19127582C22semidirect
139. #19127564C22semidirect
140. #19127563C22semidirect
141. #19127563C22semidirect
142. #19127563C22semidirect
143. #19127563C22semidirect
144. #19127562C22semidirect
145. #19127562C22semidirect
146. C22⋊C4×Dic83C22semidirect
147. C22⋊C4×Dic83C22semidirect
148. C4×(C2×D83)⋊C4C22semidirect
149. C4×(C2×D83)⋊C4C22semidirect
150. C4×C22⋊Dic83C22semidirect
151. #19127548C22semidirect
152. #19127548C22semidirect
153. #19127547C22semidirect
154. #19127547C22semidirect
155. #19127547C22semidirect
156. #19127546C22semidirect
157. #19127546C22semidirect
158. #19127546C22semidirect
159. #19127546C22semidirect
172. #400×C83C22semidirect
173. #397×C83C22semidirect
174. #396×C83C22semidirect
177. #389×C83C22semidirect
178. #388×C83C22semidirect
179. #388×C83C22semidirect
180. #388×C83C22semidirect
181. #388×C83C22semidirect
182. #387×C83C22semidirect
184. #381×C83C22semidirect
185. C4×C22⋊C4×C83C22semidirect
186. #376×C83C22semidirect
794. D83#2526direct (N × H)
810. #2526D83direct (N × H)
826. C83C2×#2526semidirect
857. #400C2×D83semidirect
865. #397C2×D83semidirect
873. #396C2×D83semidirect
897. #389C2×D83semidirect
926. #388C2×D83semidirect
927. #388C2×D83semidirect
928. #388C2×D83semidirect
929. #388C2×D83semidirect
937. #387C2×D83semidirect
953. #381C2×D83semidirect
961. C4×C22⋊C4C2×D83semidirect
969. #376C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249122422
#249122412
#249122402
#249122392
#249122382
#249122372
#249122362
#249122352
#249122342
#249122332
#249122322
#249122312
#249122302
#249122292
#249122282
#400×D832
#397×D832
#396×D832
#394×D832
#390×D832
#389×D832
#388×D832
#387×D832
#386×D832
#381×D832
C4×C22⋊C4×D832
#376×D832
C83×#25262
C2×#252683