Finite Group Databasebeta

← #35576961

Subgroups — #35576961

Order 21248.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128261C211yesmaximal, characteristic
2C2×C4×D4×D83C211yesmaximal, characteristic, complemented
3#24915783C211yesmaximal, characteristic, complemented
4#24915783C211yesmaximal, characteristic, complemented
5#24915754C211yesmaximal, characteristic, complemented
6#24915752C211yesmaximal, characteristic, complemented
7#24913248C211yesmaximal, characteristic, complemented
8#24913242C211yesmaximal, characteristic, complemented
9#24913235C211yesmaximal, characteristic, complemented
10#24913235C211yesmaximal, characteristic, complemented
11#24911220C211yesmaximal, characteristic, complemented
12#24911216C211yesmaximal, characteristic, complemented
13#24911210C211yesmaximal, characteristic, complemented
14#24911206C211yesmaximal, characteristic, complemented
15#24911205C211yesmaximal, characteristic, complemented
16#24911201C211yesmaximal, characteristic, complemented
17#24911195C211yesmaximal, characteristic, complemented
18#24911191C211yesmaximal, characteristic, complemented
19#24910946C211yesmaximal, characteristic, complemented
20#24910942C211yesmaximal, characteristic, complemented
21#24910938C211yesmaximal, characteristic, complemented
22#24910934C211yesmaximal, characteristic, complemented
23#24910929C211yesmaximal, characteristic, complemented
24#24910925C211yesmaximal, characteristic, complemented
25#24910921C211yesmaximal, characteristic, complemented
26#24910076C211yesmaximal, characteristic, complemented
27#24910039C211yesmaximal, characteristic, complemented
28#24910037C211yesmaximal, characteristic, complemented
29C2×#19127577C211yesmaximal, characteristic, complemented
30#385×D83C211yesmaximal, characteristic, complemented
31C83×#2418C211yesmaximal, characteristic, complemented
32C23×C22⋊D83C2211yescharacteristic
33C22×D4×D83C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic
35C23×C4×D83C2211yescharacteristic, complemented
36#19128261—28no—
37C2×#14581776C2211yescharacteristic
38C2×#14581774C2211yescharacteristic
39C2×#14581774C2211yescharacteristic
40C2×#14581774C2211yescharacteristic, complemented
41C2×#14581774C2211yescharacteristic, complemented
42C2×#14581773C2211yescharacteristic
43C2×#14581773C2211yescharacteristic, complemented
44C2×#14581765C2211yescharacteristic
45C2×#14581765C2211yescharacteristic
46C2×#14581763C2211yescharacteristic
47C2×#14581763C2211yescharacteristic
48C2×#14581761C2211yescharacteristic
49C2×#14581760C2211yescharacteristic
50C2×#14581760C2211yescharacteristic
51C2×C4×D332C2211yescharacteristic, complemented
52C2×D4×Dic83C2211yescharacteristic
53C2×#14581754C2211yescharacteristic, complemented
54C2×C4×C22⋊D83C2211yescharacteristic
55C2×C4×C22⋊D83C2211yescharacteristic, complemented
56C2×(C22⋊D83)⋊C4C2211yescharacteristic
57C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
58C4×D4×D83—28no—
59C2×C4⋊C4×D83C2211yescharacteristic, complemented
60C2×C4⋊C4×D83C2211yescharacteristic, complemented
61C2×C4⋊C4×D83C2211yescharacteristic, complemented
62C22×C22⋊Dic83C2211yescharacteristic, complemented
63C22×(C2×D83)⋊C4C2211yescharacteristic
64C2×C22⋊C4×D83C2211yescharacteristic
65C2×C22⋊C4×D83C2211yescharacteristic
66C2×C22⋊C4×D83C2211yescharacteristic
67C2×C22⋊C4×D83C2211yescharacteristic, complemented
68C2×C42×D83C2211yescharacteristic, complemented
69#19127643C2211yescharacteristic, complemented
70#19127643C2211yescharacteristic, complemented
71#19127641C2211yescharacteristic, complemented
72#19127639C2211yescharacteristic, complemented
73#19127637C2211yescharacteristic, complemented
74#19127637C2211yescharacteristic, complemented
75#19127637C2211yescharacteristic, complemented
76#19127634C2211yescharacteristic, complemented
77#19127634C2211yescharacteristic, complemented
78#19127633C2211yescharacteristic, complemented
79#19127632C2211yescharacteristic, complemented
80#19127630C2211yescharacteristic, complemented
81#19127630C2211yescharacteristic, complemented
82#19127629C2211yescharacteristic, complemented
83#19127629C2211yescharacteristic, complemented
84#19127629C2211yescharacteristic, complemented
85#19127629C2211yescharacteristic, complemented
86#19127627C2211yescharacteristic, complemented
87#19127627C2211yescharacteristic, complemented
88#19127626C2211yescharacteristic, complemented
89#19127626C2211yescharacteristic, complemented
90#19127626C2211yescharacteristic, complemented
91#19127617C2211yescharacteristic, complemented
92#19127617C2211yescharacteristic, complemented
93#19127616C2211yescharacteristic, complemented
94#19127616C2211yescharacteristic, complemented
95#19127615C2211yescharacteristic, complemented
96#19127615C2211yescharacteristic, complemented
97#19127595C2211yescharacteristic, complemented
98#19127595C2211yescharacteristic, complemented
99#19127594C2211yescharacteristic, complemented
100#19127594C2211yescharacteristic, complemented
101#19127589C2211yescharacteristic, complemented
102#19127589C2211yescharacteristic, complemented
103#19127588C2211yescharacteristic, complemented
104#19127588C2211yescharacteristic, complemented
105#19127587C2211yescharacteristic, complemented
106#19127587C2211yescharacteristic, complemented
107#19127586C2211yescharacteristic, complemented
108#19127586C2211yescharacteristic, complemented
109#19127585C2211yescharacteristic, complemented
110#19127585C2211yescharacteristic, complemented
111#19127581C2211yescharacteristic
112#19127581C2211yescharacteristic, complemented
113#19127580C2211yescharacteristic
114#19127579C2211yescharacteristic, complemented
115#19127579C2211yescharacteristic, complemented
116#19127578C2211yescharacteristic
117#19127577C2211yescharacteristic
118#19127577C2211yescharacteristic
119#19127577C2211yescharacteristic
120#19127577C2211yescharacteristic
121#19127577C2211yescharacteristic
122#19127577C2211yescharacteristic
123#19127577C2211yescharacteristic
124#19127577C2211yescharacteristic
125#19127577C2211yescharacteristic, complemented
126#19127577C2211yescharacteristic, complemented
127#19127577C2211yescharacteristic, complemented
128#19127577C2211yescharacteristic, complemented
129#19127577C2211yescharacteristic, complemented
130#19127577C2211yescharacteristic, complemented
131#19127577C2211yescharacteristic, complemented
132#19127577C2211yescharacteristic, complemented
133#19127577C2211yescharacteristic, complemented
134#19127577C2211yescharacteristic, complemented
135#19127577C2211yescharacteristic, complemented
136#19127577C2211yescharacteristic, complemented
137#19127576C2211yescharacteristic, complemented
138#19127576C2211yescharacteristic, complemented
139#19127575C2211yescharacteristic, complemented
140#19127575C2211yescharacteristic, complemented
141#19127575C2211yescharacteristic, complemented
142#19127575C2211yescharacteristic, complemented
143#19127575C2211yescharacteristic, complemented
144#19127575C2211yescharacteristic, complemented
145#19127574C2211yescharacteristic, complemented
146#19127574C2211yescharacteristic, complemented
147#19127573C2211yescharacteristic, complemented
148#19127572C2211yescharacteristic, complemented
149#19127572C2211yescharacteristic, complemented
150#19127572C2211yescharacteristic, complemented
151#19127572C2211yescharacteristic, complemented
152#19127572C2211yescharacteristic, complemented
153#19127572C2211yescharacteristic, complemented
154#19127572C2211yescharacteristic, complemented
155#19127572C2211yescharacteristic, complemented
156#19127564C2211yescharacteristic, complemented
157#19127563C2211yescharacteristic, complemented
158#19127563C2211yescharacteristic, complemented
159#19127563C2211yescharacteristic, complemented
160#19127563C2211yescharacteristic, complemented
161#19127562C2211yescharacteristic, complemented
162#19127562C2211yescharacteristic, complemented
163#19127562C2211yescharacteristic, complemented
164#19127561C2211yescharacteristic, complemented
165#19127559C2211yescharacteristic, complemented
166#19127559C2211yescharacteristic, complemented
167#19127557C2211yescharacteristic, complemented
168#19127556C2211yescharacteristic, complemented
169#19127556C2211yescharacteristic, complemented
170C2×C83⋊#95C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
172#95×D83C2211yescharacteristic, complemented
173#95×D83C2211yescharacteristic, complemented
174C2×#123×C83C2211yescharacteristic, complemented
175C2×#120×C83C2211yescharacteristic
176C2×C4×D4×C83C2211yescharacteristic
177C22×C22⋊C4×C83C2211yescharacteristic, complemented
178#399×C83C2211yescharacteristic, complemented
179#397×C83C2211yescharacteristic, complemented
180#394×C83C2211yescharacteristic, complemented
181#394×C83C2211yescharacteristic, complemented
182#388×C83C2211yescharacteristic, complemented
183#388×C83C2211yescharacteristic, complemented
184#386×C83C2211yescharacteristic
185#386×C83C2211yescharacteristic, complemented
186#385×C83C2211yescharacteristic, complemented
187#380×C83C2211yescharacteristic, complemented
188#379×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×C22⋊D83—24no—
193C22×C22⋊D83—24no—
194C22×C22⋊D83—24no—
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C2×D4×D83—24no—
204C2×D4×D83—24no—
205C2×D4×D83D418yes—
206C23×Dic83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C23×Dic83C2311yescharacteristic
210C22×C4×D83—24no—
211C22×C4×D83—24no—
212C22×C4×D83—42no—
213C22×C4×D83—42no—
214C22×C4×D83—42no—
215C22×C4×D83—42no—
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
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
229#14581776—24no—
230#14581774—24no—
231#14581774—24no—
232#14581774—42no—
233#14581774—42no—
234#14581773—24no—
235#14581773—42no—
236#14581765—24no—
237#14581765—24no—
238#14581763—24no—
239#14581763—24no—
240#14581761—24no—
241#14581760—24no—
242#14581760—24no—
243C4×D332—24no—
244D4×Dic83—24no—
245#14581754—24no—
246C4×C22⋊D83—24no—
247C4×C22⋊D83—24no—
248(C22⋊D83)⋊C4—24no—
249(C22⋊D83)⋊C4—24no—
250C2×C4⋊Dic83C2311yescharacteristic
251C2×C4⋊Dic83C2311yescharacteristic
252C2×C4⋊Dic83C2311yescharacteristic
253C2×C4⋊Dic83C2311yescharacteristic
254C2×C4⋊Dic83C2311yescharacteristic
255C2×C4⋊Dic83C2311yescharacteristic
256C2×C4⋊Dic83C2311yescharacteristic
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
269C4⋊C4×D83—24no—
270C4⋊C4×D83—42no—
271C4⋊C4×D83—42no—
272C2×C22⋊Dic83—42no—
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×C22⋊Dic83C2311yescharacteristic
279C2×C22⋊Dic83C2311yescharacteristic
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×(C2×D83)⋊C4—24no—
292C2×(C2×D83)⋊C4C2311yescharacteristic
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
310C22⋊C4×D83—24no—
311C22⋊C4×D83—24no—
312C22⋊C4×D83—24no—
313C22⋊C4×D83—24no—
314C2×C4×Dic83C2311yescharacteristic
315C2×C4×Dic83C2311yescharacteristic
316C2×C4×Dic83C2311yescharacteristic
317C42×D83—24no—
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
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
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
352C25×C83C2311yescharacteristic
353C22×D4×C83C2311yescharacteristic
354C22×D4×C83C2311yescharacteristic
355C22×D4×C83C2311yescharacteristic
356C23×C4×C83C2311yescharacteristic
357C23×C4×C83C2311yescharacteristic
358C23×C4×C83C2311yescharacteristic
359#123×C83—42no—
360#120×C83—24no—
361C4×D4×C83—24no—
362C2×C4⋊C4×C83C2311yescharacteristic
363C2×C4⋊C4×C83C2311yescharacteristic
364C2×C4⋊C4×C83C2311yescharacteristic
365C2×C4⋊C4×C83C2311yescharacteristic
366C2×C4⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83—42no—
368C2×C22⋊C4×C83C2311yescharacteristic
369C2×C22⋊C4×C83C2311yescharacteristic
370C2×C22⋊C4×C83C2311yescharacteristic
371C2×C22⋊C4×C83C2311yescharacteristic
372C2×C22⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊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×C42×C83C2311yescharacteristic
385#95×C83C2311yescharacteristic
386#95×C83C2311yescharacteristic
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—22no—
393C23×D83—41no—
394C23×D83—41no—
395C23×D83—41no—
396C23×D83—41no—
397C23×D83—41no—
398C23×D83—41no—
399C23×D83—41no—
400C23×D83—41no—
401C23×D83C2×D414yes—
402C23×D83C2×D414yes—
403C23×D83#4114yes—
404C23×D83#4114yes—
405C23×D83C2411yescharacteristic
406C23×D83C2411yescharacteristic
407C23×D83C2411yescharacteristic
408C2×D332—22no—
409C2×D332—22no—
410C2×D332C2×D414yes—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—22no—
415C2×C22⋊D83—22no—
416C2×C22⋊D83—22no—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—22no—
420C2×C22⋊D83—22no—
421C2×C22⋊D83—22no—
422C2×C22⋊D83—22no—
423C2×C22⋊D83—22no—
424C2×C22⋊D83—22no—
425C2×C22⋊D83—22no—
426C2×C22⋊D83—22no—
427C2×C22⋊D83—22no—
428C2×C22⋊D83—22no—
429C2×C22⋊D83—41no—
430C2×C22⋊D83—41no—
431C2×C22⋊D83—41no—
432C2×C22⋊D83—41no—
433C2×C22⋊D83—416no—
434C2×C22⋊D83C2×D414yes—
435C2×C22⋊D83C2×D414yes—
436D4×D83—232no—
437C22×Dic83—22no—
438C22×Dic83—22no—
439C22×Dic83—22no—
440C22×Dic83—22no—
441C22×Dic83—22no—
442C22×Dic83—22no—
443C22×Dic83—22no—
444C22×Dic83—22no—
445C22×Dic83—41no—
446C22×Dic83—41no—
447C22×Dic83—41no—
448C22×Dic83—41no—
449C22×Dic83C2411yescharacteristic
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C22×Dic83C2411yescharacteristic
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C2×C4×D83—22no—
463C2×C4×D83—22no—
464C2×C4×D83—22no—
465C2×C4×D83—22no—
466C2×C4×D83—22no—
467C2×C4×D83—22no—
468C2×C4×D83—22no—
469C2×C4×D83—22no—
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—416no—
483C2×C4×D83—416no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83—41no—
487C2×C4×D83—41no—
488C2×C4×D83—41no—
489C2×C4×D83—41no—
490C2×C4×D83—41no—
491C2×C4×D83—41no—
492C2×C4×D83—41no—
493C2×C4×D83—41no—
494C2×C4×D83—41no—
495C2×C4×D83—41no—
496C2×C4×D83—41no—
497C2×C4×D83—41no—
498C2×C4×D83—41no—
499C2×C4×D83—41no—
500C2×C4×D83—41no—
501C2×C4×D83—41no—
502C2×C4×D83C2×D414yes—
503C4⋊Dic83—22no—
504C4⋊Dic83—22no—
505C4⋊Dic83—22no—
506C4⋊Dic83—22no—
507C4⋊Dic83—41no—
508C4⋊Dic83—41no—
509C4⋊Dic83—41no—
510Dic83⋊C4—22no—
511Dic83⋊C4—22no—
512Dic83⋊C4—22no—
513Dic83⋊C4—22no—
514Dic83⋊C4—22no—
515Dic83⋊C4—22no—
516Dic83⋊C4—41no—
517Dic83⋊C4—41no—
518Dic83⋊C4—41no—
519Dic83⋊C4—41no—
520Dic83⋊C4—41no—
521Dic83⋊C4—41no—
522C22⋊Dic83—22no—
523C22⋊Dic83—22no—
524C22⋊Dic83—22no—
525C22⋊Dic83—22no—
526C22⋊Dic83—22no—
527C22⋊Dic83—22no—
528C22⋊Dic83—22no—
529C22⋊Dic83—22no—
530C22⋊Dic83—22no—
531C22⋊Dic83—22no—
532C22⋊Dic83—41no—
533C22⋊Dic83—41no—
534C22⋊Dic83—41no—
535C22⋊Dic83—41no—
536C22⋊Dic83—41no—
537C22⋊Dic83—41no—
538C22⋊Dic83—41no—
539C22⋊Dic83—41no—
540(C2×D83)⋊C4—22no—
541(C2×D83)⋊C4—22no—
542(C2×D83)⋊C4—22no—
543(C2×D83)⋊C4—22no—
544(C2×D83)⋊C4—22no—
545(C2×D83)⋊C4—22no—
546(C2×D83)⋊C4—22no—
547(C2×D83)⋊C4—22no—
548(C2×D83)⋊C4—22no—
549(C2×D83)⋊C4—22no—
550(C2×D83)⋊C4—22no—
551(C2×D83)⋊C4—22no—
552(C2×D83)⋊C4—22no—
553(C2×D83)⋊C4—22no—
554(C2×D83)⋊C4—41no—
555(C2×D83)⋊C4—41no—
556(C2×D83)⋊C4—41no—
557(C2×D83)⋊C4—41no—
558C4×Dic83—22no—
559C4×Dic83—22no—
560C4×Dic83—22no—
561C24×C83—22no—
562C24×C83—22no—
563C24×C83—22no—
564C24×C83—41no—
565C24×C83—41no—
566C24×C83—41no—
567C24×C83—41no—
568C24×C83C2411yescharacteristic
569C24×C83C2411yescharacteristic
570C24×C83C2411yescharacteristic
571C24×C83C2411yescharacteristic
572C2×D4×C83—22no—
573C2×D4×C83—22no—
574C2×D4×C83—22no—
575C2×D4×C83—22no—
576C2×D4×C83—41no—
577C2×D4×C83—41no—
578C2×D4×C83—41no—
579C2×D4×C83—41no—
580C2×D4×C83C2×D414yes—
581C22×C4×C83—22no—
582C22×C4×C83—22no—
583C22×C4×C83—22no—
584C22×C4×C83—22no—
585C22×C4×C83—22no—
586C22×C4×C83—41no—
587C22×C4×C83—41no—
588C22×C4×C83—41no—
589C22×C4×C83—41no—
590C22×C4×C83C2411yescharacteristic
591C22×C4×C83C2411yescharacteristic
592C22×C4×C83C2411yescharacteristic
593C22×C4×C83C2411yescharacteristic
594C22×C4×C83C2411yescharacteristic
595C22×C4×C83C2411yescharacteristic
596C22×C4×C83C2411yescharacteristic
597C22×C4×C83C2411yescharacteristic
598C22×C4×C83C2411yescharacteristic
599C22×C4×C83C2411yescharacteristic
600C22×C4×C83C2411yescharacteristic
601C4⋊C4×C83—22no—
602C4⋊C4×C83—22no—
603C4⋊C4×C83—41no—
604C4⋊C4×C83—41no—
605C4⋊C4×C83—41no—
606C22⋊C4×C83—22no—
607C22⋊C4×C83—22no—
608C22⋊C4×C83—22no—
609C22⋊C4×C83—22no—
610C22⋊C4×C83—22no—
611C22⋊C4×C83—22no—
612C22⋊C4×C83—22no—
613C22⋊C4×C83—22no—
614C22⋊C4×C83—41no—
615C22⋊C4×C83—41no—
616C22⋊C4×C83—41no—
617C22⋊C4×C83—41no—
618C22⋊C4×C83—41no—
619C22⋊C4×C83—41no—
620C22⋊C4×C83—41no—
621C22⋊C4×C83—41no—
622C42×C83—22no—
623C23×C83—21no—
624C23×C83—21no—
625C23×C83—21no—
626C23×C83—21no—
627C23×C83—21no—
628C23×C83—21no—
629C23×C83—21no—
630C23×C83—21no—
631C23×C83—21no—
632C23×C83—21no—
633C23×C83—21no—
634C23×C83—21no—
635C23×C83—21no—
636C23×C83—21no—
637C23×C83—21no—
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—44no—
648C23×C83—44no—
649C23×C83—44no—
650C23×C83—82no—
651C23×C83—82no—
652C23×C83—82no—
653C23×C83—82no—
654C23×C83C22×D412yes—
655C23×C83C22×D412yes—
656C23×C83C2×#4112yes—
657C23×C83C2×#4112yes—
658C23×C83C2511yescharacteristic
659C22×D83—21no—
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—21no—
673C22×D83—28no—
674C22×D83—44no—
675C22×D83—44no—
676C22×D83—44no—
677C22×D83—44no—
678C22×D83—44no—
679C22×D83—44no—
680C22×D83—44no—
681C22×D83—44no—
682C22×D83—44no—
683C22×D83—44no—
684C22×D83—44no—
685C22×D83—44no—
686C22×D83#123116yescomplemented
687C22×D83C22×D412yes—
688C22×D83C22×D412yes—
689C22×D83C22×D412yes—
690C22×D83C2×#4112yes—
691C22×D83C2×#4112yes—
692C22×D83C2×#4112yes—
693C22×D83C2×#4112yes—
694D4×C83—28no—
695D4×C83—82no—
696D4×C83—82no—
697C2×C4×C83—21no—
698C2×C4×C83—21no—
699C2×C4×C83—21no—
700C2×C4×C83—21no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
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—44no—
729C2×C4×C83—44no—
730C2×C4×C83—82no—
731C2×C4×C83C22×D412yes—
732C2×C4×C83H(5,𝔽2)12yes—
733C22⋊D83—28no—
734C22⋊D83—28no—
735C22⋊D83—44no—
736C22⋊D83—44no—
737C22⋊D83—44no—
738C22⋊D83—44no—
739C22⋊D83—82no—
740C22⋊D83—82no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—21no—
744C2×Dic83—21no—
745C2×Dic83—21no—
746C2×Dic83—21no—
747C2×Dic83—21no—
748C2×Dic83—21no—
749C2×Dic83—21no—
750C2×Dic83—21no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—21no—
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—44no—
779C2×Dic83—44no—
780C2×Dic83—44no—
781C2×Dic83—82no—
782C2×Dic83C22×D412yes—
783C2×Dic83H(5,𝔽2)12yes—
784D332—28no—
785C4×D83—28no—
786C4×D83—28no—
787C4×D83—44no—
788C4×D83—44no—
789C4×D83—44no—
790C4×D83—44no—
791C4×D83—44no—
792C4×D83—44no—
793C4×D83—44no—
794C4×D83—44no—
795C4×D83—44no—
796C4×D83—82no—
797C4×D83—82no—
798C22×C83—22no—
799C22×C83—22no—
800C22×C83—22no—
801C22×C83—22no—
802C22×C83—22no—
803C22×C83—22no—
804C22×C83—22no—
805C22×C83—22no—
806C22×C83—22no—
807C22×C83—41no—
808C22×C83—41no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83—41no—
812C22×C83—41no—
813C22×C83—41no—
814C22×C83—41no—
815C22×C83—41no—
816C22×C83—41no—
817C22×C83—41no—
818C22×C83—41no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83—41no—
822C22×C83—41no—
823C22×C83—41no—
824C22×C83—41no—
825C22×C83—88no—
826C22×C83C2×#12314yes—
827C22×C83C23×D411yescharacteristic
828C22×C83C22×#4111yescharacteristic
829C22×C83C22×#4111yescharacteristic
830C22×C83C2×H(5,𝔽2)11yescharacteristic
831C22×C83C2×H(5,𝔽2)11yescharacteristic
832C22×C83#58511yescharacteristic
833C22×C83#58511yescharacteristic
834C2×D83—22no—
835C2×D83—22no—
836C2×D83—22no—
837C2×D83—22no—
838C2×D83—22no—
839C2×D83—22no—
840C2×D83—22no—
841C2×D83—22no—
842C2×D83—22no—
843C2×D83—22no—
844C2×D83—22no—
845C2×D83—22no—
846C2×D83—22no—
847C2×D83—22no—
848C2×D83—22no—
849C2×D83—416no—
850C2×D83—416no—
851C2×D83—41no—
852C2×D83—41no—
853C2×D83—41no—
854C2×D83—41no—
855C2×D83C2×#12314yes—
856C2×D83C2×#12314yes—
857C4×C83—22no—
858C4×C83—22no—
859C4×C83—41no—
860C4×C83—41no—
861C4×C83—41no—
862C4×C83—41no—
863C4×C83—41no—
864C4×C83—41no—
865C4×C83—41no—
866C4×C83—41no—
867C4×C83—41no—
868Dic83—22no—
869Dic83—22no—
870Dic83—41no—
871Dic83—41no—
872Dic83—41no—
873Dic83—41no—
874Dic83—41no—
875Dic83—41no—
876Dic83—41no—
877Dic83—41no—
878Dic83—41no—
879Dic83—41no—
880Dic83—41no—
881#34983—831nomaximal, Sylow
882C2×C83—24no—
883C2×C83—42no—
884C2×C83—81no—
885C2×C83—81no—
886C2×C83C22×#12311yescharacteristic
887C2×C83#345911yescharacteristic
888C2×C83#345911yescharacteristic
889C2×C83#348411yescharacteristic
890C2×C83#348511yescharacteristic
891C2×C83#350511yescharacteristic
892C2×C83#350511yescharacteristic
893D83—24no—
894D83—24no—
895D83—42no—
896C2×#534—831no—
897C22×C4×D4—831no—
898#2853—831no—
899#2853—831no—
900#2849—831no—
901#2849—831no—
902#2623—831no—
903#2623—831no—
904#2622—831no—
905#2622—831no—
906#2444—831no—
907#2444—831no—
908#2444—831no—
909#2444—831no—
910#2443—831no—
911#2443—831no—
912#2443—831no—
913#2443—831no—
914#2419—831no—
915#2419—831no—
916#2419—831no—
917#2419—831no—
918#2418—831no—
919#2418—831no—
920#2418—831no—
921#2418D8311yescharacteristic, complemented
922#2315—831no—
923#2308—831no—
924#2308—831no—
925C2×#386—831no—
926C2×#385—831no—
927C83#3498311yescharacteristic, complemented, Sylow
928C23×D4—831no—
929C23×D4—831no—
930C24×C4—831no—
931C24×C4—831no—
932#534—1668no—
933C2×#123—831no—
934C2×#123—831no—
935C2×#123—831no—
936C2×#123—831no—
937C2×#123—831no—
938C2×#123—831no—
939C2×#123—831no—
940C2×#123C2×D8311yescharacteristic, complemented
941C2×#121—831no—
942C2×#121—831no—
943C2×#121—831no—
944C2×#121—831no—
945C2×#120—831no—
946C2×#120—831no—
947C2×#120—831no—
948C2×#120C2×D8311yescharacteristic
949C2×C4×D4—831no—
950C2×C4×D4—831no—
951C2×C4×D4—831no—
952C2×C4×D4—831no—
953C2×C4×D4—831no—
954C2×C4×D4—831no—
955C2×C4×D4—831no—
956C2×C4×D4—1668no—
957C2×C4×D4C2×D8311yescharacteristic
958C22×C4⋊C4—831no—
959C22×C4⋊C4—831no—
960C22×C4⋊C4—831no—
961C22×C22⋊C4—831no—
962C22×C22⋊C4—831no—
963C22×C22⋊C4—831no—
964C22×C22⋊C4—831no—
965C22×C22⋊C4—831no—
966C22×C22⋊C4—831no—
967C22×C22⋊C4C2×D8311yescharacteristic, complemented
968C22×C42—831no—
969#400—831no—
970#400—831no—
971#400—831no—
972#400—831no—
973#399—831no—
974#399—831no—
975#399—831no—
976#399C2×D8311yescharacteristic, complemented
977#398—831no—
978#398—831no—
979#398—831no—
980#398—831no—
981#397—831no—
982#397—831no—
983#397—831no—
984#397—831no—
985#397—831no—
986#397—831no—
987#397—831no—
988#397—831no—
989#397—831no—
990#397—831no—
991#397—831no—
992#397C2×D8311yescharacteristic, complemented
993#394—831no—
994#394—831no—
995#394—831no—
996#394—831no—
997#394—831no—
998#394—831no—
999#394C2×D8311yescharacteristic, complemented
1000#394C2×D8311yescharacteristic, complemented
1001#388—831no—
1002#388—831no—
1003#388—831no—
1004#388—831no—
1005#388—831no—
1006#388—831no—
1007#388C2×D8311yescharacteristic, complemented
1008#388C2×D8311yescharacteristic, complemented
1009#387—831no—
1010#387—831no—
1011#387—831no—
1012#387—831no—
1013#387—831no—
1014#387—831no—
1015#387—831no—
1016#387—831no—
1017#386—831no—
1018#386—831no—
1019#386—831no—
1020#386—831no—
1021#386—831no—
1022#386—831no—
1023#386—831no—
1024#386—831no—
1025#386—831no—
1026#386—831no—
1027#386—831no—
1028#386—831no—
1029#386—831no—
1030#386—831no—
1031#386—831no—
1032#386—831no—
1033#386—831no—
1034#386—831no—
1035#386—831no—
1036#386—831no—
1037#386—831no—
1038#386—831no—
1039#386—831no—
1040#386—831no—
1041#386—831no—
1042#386—831no—
1043#386C2×D8311yescharacteristic
1044#386C2×D8311yescharacteristic, complemented
1045#385—831no—
1046#385—831no—
1047#385—831no—
1048#385—831no—
1049#385—831no—
1050#385—831no—
1051#385—831no—
1052#385—831no—
1053#385—831no—
1054#385—831no—
1055#385—831no—
1056#385—831no—
1057#385—831no—
1058#385—831no—
1059#385—831no—
1060#385—831no—
1061#385—831no—
1062#385—831no—
1063#385—831no—
1064#385C2×D8311yescharacteristic, complemented
1065#381—831no—
1066#381—831no—
1067#381—831no—
1068#381—831no—
1069#381—831no—
1070#381—831no—
1071#381—831no—
1072#381—831no—
1073#380—831no—
1074#380—831no—
1075#380—831no—
1076#380C2×D8311yescharacteristic, complemented
1077#379—831no—
1078#379—831no—
1079#379—831no—
1080#379C2×D8311yescharacteristic, complemented
1081C2×#95—831no—
1082C2×#95—831no—
1083C2×#95—831no—
1084C2×#95—831no—
1085C25—831no—
1086C25—831no—
1087C25C22×D8311yescharacteristic
1088C22×D4—831no—
1089C22×D4—831no—
1090C22×D4—831no—
1091C22×D4—831no—
1092C22×D4—838no—
1093C22×D4—831no—
1094C22×D4—831no—
1095C22×D4—831no—
1096C22×D4—831no—
1097C22×D4—831no—
1098C22×D4—1664no—
1099C22×D4—1664no—
1100C22×D4—1664no—
1101C22×D4—1664no—
1102C22×D4—1664no—
1103C22×D4C22×D8311yescharacteristic
1104C22×D4C22×D8311yescharacteristic
1105C22×D4C22×D8311yescharacteristic
1106C23×C4—3322no—
1107C23×C4—3322no—
1108C23×C4—3322no—
1109C23×C4—3322no—
1110C23×C4—831no—
1111C23×C4—831no—
1112C23×C4—831no—
1113C23×C4—831no—
1114C23×C4—831no—
1115C23×C4—831no—
1116C23×C4—831no—
1117C23×C4—831no—
1118C23×C4—831no—
1119C23×C4—831no—
1120C23×C4—831no—
1121C23×C4—831no—
1122C23×C4—831no—
1123C23×C4—831no—
1124C23×C4—831no—
1125C23×C4—831no—
1126C23×C4—831no—
1127C23×C4—1664no—
1128C23×C4—1664no—
1129C23×C4C22×D8311yescharacteristic
1130C23×C4C22×D8311yescharacteristic
1131C23×C4C22×D8311yescharacteristic
1132#123—42no—
1133#123—3322no—
1134#123—3322no—
1135#123—3322no—
1136#123—1664no—
1137#123—1664no—
1138#123—1664no—
1139#123—1664no—
1140#121—1664no—
1141#121—1664no—
1142#121—1664no—
1143#121—1664no—
1144#120—24no—
1145#120—1664no—
1146#120—1664no—
1147#120—1664no—
1148C4×D4—24no—
1149C4×D4—1664no—
1150C4×D4—1664no—
1151C4×D4—1664no—
1152C4×D4—1664no—
1153C4×D4—1664no—
1154C4×D4—1664no—
1155C4×D4—1664no—
1156C2×C4⋊C4—3322no—
1157C2×C4⋊C4—3322no—
1158C2×C4⋊C4—831no—
1159C2×C4⋊C4—831no—
1160C2×C4⋊C4—831no—
1161C2×C4⋊C4—831no—
1162C2×C4⋊C4—831no—
1163C2×C4⋊C4—831no—
1164C2×C4⋊C4—831no—
1165C2×C4⋊C4—831no—
1166C2×C4⋊C4—831no—
1167C2×C4⋊C4—831no—
1168C2×C4⋊C4—831no—
1169C2×C4⋊C4—831no—
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—1664no—
1178C2×C4⋊C4C22×D8311yescharacteristic
1179C2×C4⋊C4C22×D8311yescharacteristic
1180C2×C4⋊C4C22×D8311yescharacteristic
1181C2×C4⋊C4C22×D8311yescharacteristic
1182C2×C4⋊C4C22×D8311yescharacteristic
1183C2×C22⋊C4—42no—
1184C2×C22⋊C4—3322no—
1185C2×C22⋊C4—831no—
1186C2×C22⋊C4—831no—
1187C2×C22⋊C4—831no—
1188C2×C22⋊C4—831no—
1189C2×C22⋊C4—831no—
1190C2×C22⋊C4—831no—
1191C2×C22⋊C4—831no—
1192C2×C22⋊C4—831no—
1193C2×C22⋊C4—831no—
1194C2×C22⋊C4—831no—
1195C2×C22⋊C4—831no—
1196C2×C22⋊C4—831no—
1197C2×C22⋊C4—831no—
1198C2×C22⋊C4—831no—
1199C2×C22⋊C4—831no—
1200C2×C22⋊C4—831no—
1201C2×C22⋊C4—831no—
1202C2×C22⋊C4—831no—
1203C2×C22⋊C4—831no—
1204C2×C22⋊C4—831no—
1205C2×C22⋊C4—831no—
1206C2×C22⋊C4—831no—
1207C2×C22⋊C4—831no—
1208C2×C22⋊C4—831no—
1209C2×C22⋊C4—831no—
1210C2×C22⋊C4—831no—
1211C2×C22⋊C4—831no—
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—1664no—
1222C2×C22⋊C4—1664no—
1223C2×C22⋊C4—1664no—
1224C2×C22⋊C4—1664no—
1225C2×C22⋊C4—1664no—
1226C2×C22⋊C4C22×D8311yescharacteristic
1227C2×C22⋊C4C22×D8311yescharacteristic
1228C2×C22⋊C4C22×D8311yescharacteristic
1229C2×C22⋊C4C22×D8311yescharacteristic
1230C2×C22⋊C4C22×D8311yescharacteristic
1231C2×C22⋊C4C22×D8311yescharacteristic
1232C2×C22⋊C4C22×D8311yescharacteristic
1233C2×C22⋊C4C22×D8311yescharacteristic
1234C2×C22⋊C4C22×D8311yescharacteristic
1235C2×C22⋊C4C22×D8311yescharacteristic
1236C2×C22⋊C4C22×D8311yescharacteristic
1237C2×C22⋊C4C22×D8311yescharacteristic
1238C2×C22⋊C4C22×D8311yescharacteristic
1239C2×C22⋊C4C22×D8311yescharacteristic
1240C2×C22⋊C4C22×D8311yescharacteristic
1241C2×C22⋊C4C22×D8311yescharacteristic
1242C2×C42—831no—
1243C2×C42—831no—
1244C2×C42—831no—
1245C2×C42—1664no—
1246C2×C42C22×D8311yescharacteristic
1247#95—831no—
1248#95—831no—
1249#95—831no—
1250#95—831no—
1251#95—831no—
1252#95—831no—
1253#95—831no—
1254#95—831no—
1255#95—831no—
1256#95—831no—
1257#95—831no—
1258#95—831no—
1259#95—831no—
1260#95—831no—
1261#95—831no—
1262#95—831no—
1263#95—831no—
1264#95—831no—
1265#95—831no—
1266#95—831no—
1267#95—831no—
1268#95—831no—
1269#95—831no—
1270#95—831no—
1271#95—831no—
1272#95—831no—
1273#95—831no—
1274#95—831no—
1275#95—831no—
1276#95—831no—
1277#95—831no—
1278#95—831no—
1279#95—831no—
1280#95—831no—
1281#95C22×D8311yescharacteristic
1282#95C22×D8311yescharacteristic
1283#95C22×D8311yescharacteristic
1284#95C22×D8311yescharacteristic
1285#95C22×D8311yescharacteristic
1286#95C22×D8311yescharacteristic
1287C24—22no—
1288C24—22no—
1289C24—22no—
1290C24—41no—
1291C24—41no—
1292C24—41no—
1293C24—41no—
1294C24—3321no—
1295C24—3321no—
1296C24—3321no—
1297C24—3321no—
1298C24—3321no—
1299C24—3321no—
1300C24—3321no—
1301C24—3321no—
1302C24—834no—
1303C24—834no—
1304C24—834no—
1305C24—834no—
1306C24—831no—
1307C24—831no—
1308C24—831no—
1309C24—1662no—
1310C24—1662no—
1311C24C23×D8311yescharacteristic
1312C24C23×D8311yescharacteristic
1313C24C23×D8311yescharacteristic
1314C24C23×D8311yescharacteristic
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—33216no—
1324C2×D4—3321no—
1325C2×D4—3321no—
1326C2×D4—3321no—
1327C2×D4—3321no—
1328C2×D4—834no—
1329C2×D4—834no—
1330C2×D4—834no—
1331C2×D4—1662no—
1332C2×D4—1662no—
1333C2×D4—16632no—
1334C2×D4—1662no—
1335C2×D4—1662no—
1336C2×D4—1662no—
1337C2×D4—1662no—
1338C2×D4—1662no—
1339C2×D4—1662no—
1340C2×D4—1662no—
1341C2×D4—1662no—
1342C2×D4—1662no—
1343C2×D4—1662no—
1344C2×D4—1662no—
1345C2×D4—1662no—
1346C2×D4—1662no—
1347C2×D4—1662no—
1348C2×D4—1662no—
1349C2×D4—1662no—
1350C2×D4—1662no—
1351C2×D4—1662no—
1352C2×D4D4×D8314yes—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—3321no—
1363C22×C4—3321no—
1364C22×C4—3321no—
1365C22×C4—3321no—
1366C22×C4—3321no—
1367C22×C4—3321no—
1368C22×C4—3321no—
1369C22×C4—3321no—
1370C22×C4—3321no—
1371C22×C4—3321no—
1372C22×C4—3321no—
1373C22×C4—3321no—
1374C22×C4—3321no—
1375C22×C4—3321no—
1376C22×C4—3321no—
1377C22×C4—3321no—
1378C22×C4—3321no—
1379C22×C4—3321no—
1380C22×C4—33216no—
1381C22×C4—33216no—
1382C22×C4—3321no—
1383C22×C4—3321no—
1384C22×C4—3321no—
1385C22×C4—3321no—
1386C22×C4—831no—
1387C22×C4—831no—
1388C22×C4—834no—
1389C22×C4—831no—
1390C22×C4—831no—
1391C22×C4—831no—
1392C22×C4—831no—
1393C22×C4—831no—
1394C22×C4—831no—
1395C22×C4—831no—
1396C22×C4—831no—
1397C22×C4—831no—
1398C22×C4—831no—
1399C22×C4—831no—
1400C22×C4—1662no—
1401C22×C4—1662no—
1402C22×C4—1662no—
1403C22×C4—1662no—
1404C22×C4—1662no—
1405C22×C4—1662no—
1406C22×C4—1662no—
1407C22×C4—1662no—
1408C22×C4—1662no—
1409C22×C4—1662no—
1410C22×C4—1662no—
1411C22×C4—1662no—
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×C4C23×D8311yescharacteristic
1429C22×C4C23×D8311yescharacteristic
1430C22×C4C23×D8311yescharacteristic
1431C22×C4C23×D8311yescharacteristic
1432C22×C4C23×D8311yescharacteristic
1433C22×C4C23×D8311yescharacteristic
1434C22×C4C23×D8311yescharacteristic
1435C22×C4C23×D8311yescharacteristic
1436C22×C4C23×D8311yescharacteristic
1437C22×C4C23×D8311yescharacteristic
1438C22×C4C23×D8311yescharacteristic
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—41no—
1442C4⋊C4—41no—
1443C4⋊C4—41no—
1444C4⋊C4—3321no—
1445C4⋊C4—3321no—
1446C4⋊C4—3321no—
1447C4⋊C4—3321no—
1448C4⋊C4—3321no—
1449C4⋊C4—3321no—
1450C4⋊C4—3321no—
1451C4⋊C4—3321no—
1452C4⋊C4—3321no—
1453C4⋊C4—1662no—
1454C4⋊C4—1662no—
1455C4⋊C4—1662no—
1456C4⋊C4—1662no—
1457C4⋊C4—1662no—
1458C4⋊C4—1662no—
1459C4⋊C4—1662no—
1460C4⋊C4—1662no—
1461C4⋊C4—1662no—
1462C4⋊C4—1662no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—3321no—
1480C22⋊C4—3321no—
1481C22⋊C4—3321no—
1482C22⋊C4—3321no—
1483C22⋊C4—3321no—
1484C22⋊C4—3321no—
1485C22⋊C4—3321no—
1486C22⋊C4—3321no—
1487C22⋊C4—3321no—
1488C22⋊C4—3321no—
1489C22⋊C4—3321no—
1490C22⋊C4—3321no—
1491C22⋊C4—1662no—
1492C22⋊C4—1662no—
1493C22⋊C4—1662no—
1494C22⋊C4—1662no—
1495C22⋊C4—1662no—
1496C22⋊C4—1662no—
1497C22⋊C4—1662no—
1498C22⋊C4—1662no—
1499C22⋊C4—1662no—
1500C22⋊C4—1662no—
1501C22⋊C4—1662no—
1502C22⋊C4—1662no—
1503C22⋊C4—1662no—
1504C22⋊C4—1662no—
1505C22⋊C4—1662no—
1506C22⋊C4—1662no—
1507C22⋊C4—1662no—
1508C22⋊C4—1662no—
1509C22⋊C4—1662no—
1510C22⋊C4—1662no—
1511C22⋊C4—1662no—
1512C22⋊C4—1662no—
1513C22⋊C4—1662no—
1514C22⋊C4—1662no—
1515C42—22no—
1516C42—1662no—
1517C42—1662no—
1518C42—1662no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—82no—
1547C23—82no—
1548C23—82no—
1549C23—82no—
1550C23—3324no—
1551C23—3324no—
1552C23—3324no—
1553C23—3324no—
1554C23—3324no—
1555C23—3324no—
1556C23—3324no—
1557C23—3324no—
1558C23—3324no—
1559C23—3324no—
1560C23—3324no—
1561C23—3324no—
1562C23—8316no—
1563C23—832no—
1564C23—832no—
1565C23—832no—
1566C23—832no—
1567C23—832no—
1568C23—832no—
1569C23—832no—
1570C23—1668no—
1571C23—1661no—
1572C23—1661no—
1573C23—1661no—
1574C23—1661no—
1575C23—1661no—
1576C23—1661no—
1577C23—1661no—
1578C23—1661no—
1579C23—1661no—
1580C23—1661no—
1581C23—1661no—
1582C23—1661no—
1583C23—1661no—
1584C23—1661no—
1585C23C2×D4×D8312yes—
1586C23C2×D4×D8312yes—
1587C23#41×D8312yes—
1588C23#41×D8312yes—
1589C23C24×D8311yescharacteristic
1590D4—28no—
1591D4—82no—
1592D4—82no—
1593D4—3324no—
1594D4—3324no—
1595D4—3324no—
1596D4—3324no—
1597D4—6642no—
1598D4—6642no—
1599D4—1668no—
1600D4—1668no—
1601D4—1668no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—82no—
1636C2×C4—3324no—
1637C2×C4—3324no—
1638C2×C4—3324no—
1639C2×C4—3324no—
1640C2×C4—3324no—
1641C2×C4—3324no—
1642C2×C4—3324no—
1643C2×C4—3324no—
1644C2×C4—3324no—
1645C2×C4—3324no—
1646C2×C4—3324no—
1647C2×C4—3324no—
1648C2×C4—832no—
1649C2×C4—832no—
1650C2×C4—6642no—
1651C2×C4—6642no—
1652C2×C4—6642no—
1653C2×C4—1668no—
1654C2×C4—1668no—
1655C2×C4—1661no—
1656C2×C4—1661no—
1657C2×C4—1661no—
1658C2×C4—1661no—
1659C2×C4—1661no—
1660C2×C4—1661no—
1661C2×C4—1661no—
1662C2×C4—1661no—
1663C2×C4—1661no—
1664C2×C4—1661no—
1665C2×C4—1661no—
1666C2×C4—1661no—
1667C2×C4—1661no—
1668C2×C4—1661no—
1669C2×C4—1661no—
1670C2×C4—1661no—
1671C2×C4—1661no—
1672C2×C4—1661no—
1673C2×C4—1661no—
1674C2×C4—1661no—
1675C2×C4—1661no—
1676C2×C4—1661no—
1677C2×C4—1661no—
1678C2×C4—1661no—
1679C2×C4—1661no—
1680C2×C4—1661no—
1681C2×C4—1661no—
1682C2×C4—1661no—
1683C2×C4—1661no—
1684C2×C4—1661no—
1685C2×C4—1661no—
1686C2×C4—1661no—
1687C2×C4—1661no—
1688C2×C4—1661no—
1689C2×C4—1661no—
1690C2×C4—1661no—
1691C2×C4—1661no—
1692C2×C4C2×D4×D8312yes—
1693C2×C4#1458183712yes—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—88no—
1722C22—33216no—
1723C22—33216no—
1724C22—3321no—
1725C22—3321no—
1726C22—3321no—
1727C22—3321no—
1728C22—834no—
1729C22—834no—
1730C22—1662no—
1731C22—1662no—
1732C22—1662no—
1733C22—1662no—
1734C22—1662no—
1735C22—1662no—
1736C22—1662no—
1737C22—1662no—
1738C22—1662no—
1739C22—1662no—
1740C22—1662no—
1741C22—1662no—
1742C22—1662no—
1743C22—1662no—
1744C22—1662no—
1745C22#123×D8314yes—
1746C22C22×D4×D8311yescharacteristic
1747C22C2×#41×D8311yescharacteristic
1748C22C2×#41×D8311yescharacteristic
1749C22H(5,𝔽2)×D8311yescharacteristic
1750C22C2×#1458183711yescharacteristic
1751C22#1912853611yescharacteristic
1752C22#1912853711yescharacteristic
1753C4—22no—
1754C4—22no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—3321no—
1765C4—3321no—
1766C4—3321no—
1767C4—3321no—
1768C4—3321no—
1769C4—3321no—
1770C4—3321no—
1771C4—3321no—
1772C4—3321no—
1773C4—3321no—
1774C4—3321no—
1775C4—1662no—
1776C4—1662no—
1777C2—24no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—3322no—
1782C2—1664no—
1783C2—1664no—
1784C2C2×#123×D8311yescharacteristic
1785C2#2492087011yescharacteristic
1786C2#2492087411yescharacteristic
1787C2#2492109111yescharacteristic
1788C2#2492110011yescharacteristic
1789C2#2492129011yescharacteristic
1790C2#2492129411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2418C2
prime radicalC2×#19128261C2
hypercenter#2418D83
hypocenterC83#34983
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D83C2semidirect
3. #24915783C2semidirect
4. #24915783C2semidirect
5. #24915754C2semidirect
6. #24915752C2semidirect
7. #24913248C2semidirect
8. #24913242C2semidirect
9. #24913235C2semidirect
10. #24913235C2semidirect
11. #24911220C2semidirect
12. #24911216C2semidirect
13. #24911210C2semidirect
14. #24911206C2semidirect
15. #24911205C2semidirect
16. #24911201C2semidirect
17. #24911195C2semidirect
18. #24911191C2semidirect
19. #24910946C2semidirect
20. #24910942C2semidirect
21. #24910938C2semidirect
22. #24910934C2semidirect
23. #24910929C2semidirect
24. #24910925C2semidirect
25. #24910921C2semidirect
26. #24910076C2semidirect
27. #24910039C2semidirect
28. #24910037C2semidirect
29. C2×#19127577C2semidirect
30. #385×D83C2semidirect
31. C83×#2418C2semidirect
35. C23×C4×D83C22semidirect
40. C2×#14581774C22semidirect
41. C2×#14581774C22semidirect
43. C2×#14581773C22semidirect
51. C2×C4×D332C22semidirect
53. C2×#14581754C22semidirect
55. C2×C4×C22⋊D83C22semidirect
57. C2×(C22⋊D83)⋊C4C22semidirect
59. C2×C4⋊C4×D83C22semidirect
60. C2×C4⋊C4×D83C22semidirect
61. C2×C4⋊C4×D83C22semidirect
62. C22×C22⋊Dic83C22semidirect
67. C2×C22⋊C4×D83C22semidirect
68. C2×C42×D83C22semidirect
69. #19127643C22semidirect
70. #19127643C22semidirect
71. #19127641C22semidirect
72. #19127639C22semidirect
73. #19127637C22semidirect
74. #19127637C22semidirect
75. #19127637C22semidirect
76. #19127634C22semidirect
77. #19127634C22semidirect
78. #19127633C22semidirect
79. #19127632C22semidirect
80. #19127630C22semidirect
81. #19127630C22semidirect
82. #19127629C22semidirect
83. #19127629C22semidirect
84. #19127629C22semidirect
85. #19127629C22semidirect
86. #19127627C22semidirect
87. #19127627C22semidirect
88. #19127626C22semidirect
89. #19127626C22semidirect
90. #19127626C22semidirect
91. #19127617C22semidirect
92. #19127617C22semidirect
93. #19127616C22semidirect
94. #19127616C22semidirect
95. #19127615C22semidirect
96. #19127615C22semidirect
97. #19127595C22semidirect
98. #19127595C22semidirect
99. #19127594C22semidirect
100. #19127594C22semidirect
101. #19127589C22semidirect
102. #19127589C22semidirect
103. #19127588C22semidirect
104. #19127588C22semidirect
105. #19127587C22semidirect
106. #19127587C22semidirect
107. #19127586C22semidirect
108. #19127586C22semidirect
109. #19127585C22semidirect
110. #19127585C22semidirect
112. #19127581C22semidirect
114. #19127579C22semidirect
115. #19127579C22semidirect
125. #19127577C22semidirect
126. #19127577C22semidirect
127. #19127577C22semidirect
128. #19127577C22semidirect
129. #19127577C22semidirect
130. #19127577C22semidirect
131. #19127577C22semidirect
132. #19127577C22semidirect
133. #19127577C22semidirect
134. #19127577C22semidirect
135. #19127577C22semidirect
136. #19127577C22semidirect
137. #19127576C22semidirect
138. #19127576C22semidirect
139. #19127575C22semidirect
140. #19127575C22semidirect
141. #19127575C22semidirect
142. #19127575C22semidirect
143. #19127575C22semidirect
144. #19127575C22semidirect
145. #19127574C22semidirect
146. #19127574C22semidirect
147. #19127573C22semidirect
148. #19127572C22semidirect
149. #19127572C22semidirect
150. #19127572C22semidirect
151. #19127572C22semidirect
152. #19127572C22semidirect
153. #19127572C22semidirect
154. #19127572C22semidirect
155. #19127572C22semidirect
156. #19127564C22semidirect
157. #19127563C22semidirect
158. #19127563C22semidirect
159. #19127563C22semidirect
160. #19127563C22semidirect
161. #19127562C22semidirect
162. #19127562C22semidirect
163. #19127562C22semidirect
164. #19127561C22semidirect
165. #19127559C22semidirect
166. #19127559C22semidirect
167. #19127557C22semidirect
168. #19127556C22semidirect
169. #19127556C22semidirect
170. C2×C83⋊#95C22semidirect
171. C2×C83⋊#95C22semidirect
172. #95×D83C22semidirect
173. #95×D83C22semidirect
174. C2×#123×C83C22semidirect
177. C22×C22⋊C4×C83C22semidirect
178. #399×C83C22semidirect
179. #397×C83C22semidirect
180. #394×C83C22semidirect
181. #394×C83C22semidirect
182. #388×C83C22semidirect
183. #388×C83C22semidirect
185. #386×C83C22semidirect
186. #385×C83C22semidirect
187. #380×C83C22semidirect
188. #379×C83C22semidirect
686. C22×D83#123semidirect
921. #2418D83semidirect
927. C83#34983semidirect
940. C2×#123C2×D83semidirect
967. C22×C22⋊C4C2×D83semidirect
976. #399C2×D83semidirect
992. #397C2×D83semidirect
999. #394C2×D83semidirect
1000. #394C2×D83semidirect
1007. #388C2×D83semidirect
1008. #388C2×D83semidirect
1044. #386C2×D83semidirect
1064. #385C2×D83semidirect
1076. #380C2×D83semidirect
1080. #379C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282612
C2×C4×D4×D832
#249157832
#249157542
#249157522
#249132482
#249132422
#249132352
#249112202
#249112162
#249112102
#249112062
#249112052
#249112012
#249111952
#249111912
#249109462
#249109422
#249109382
#249109342
#249109292
#249109252
#249109212
#249100762
#249100392
#249100372
C2×#191275772
#385×D832
C83×#24182
#3498383