Finite Group Databasebeta

← #2553×D83 #35574451

Subgroups — #2553×D83 #35574451

Order 21248.

2942 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D83C211yesmaximal, characteristic, complemented
2C2×#123×D83C211yesmaximal, characteristic
3#24912515C211yesmaximal, characteristic, complemented
4#24912514C211yesmaximal, characteristic, complemented
5#24912513C211yesmaximal, characteristic, complemented
6#24912512C211yesmaximal, characteristic, complemented
7#24912511C211yesmaximal, characteristic, complemented
8#24912510C211yesmaximal, characteristic, complemented
9#24912509C211yesmaximal, characteristic, complemented
10#24912508C211yesmaximal, characteristic, complemented
11#24912507C211yesmaximal, characteristic, complemented
12#24912506C211yesmaximal, characteristic, complemented
13#24912505C211yesmaximal, characteristic, complemented
14#24912504C211yesmaximal, characteristic, complemented
15#24912503C211yesmaximal, characteristic, complemented
16#24912502C211yesmaximal, characteristic, complemented
17#24912501C211yesmaximal, characteristic, complemented
18#399×D83C211yesmaximal, characteristic, complemented
19#398×D83C211yesmaximal, characteristic, complemented
20#397×D83C211yesmaximal, characteristic, complemented
21#394×D83C211yesmaximal, characteristic
22#389×D83C211yesmaximal, characteristic, complemented
23#388×D83C211yesmaximal, characteristic, complemented
24#387×D83C211yesmaximal, characteristic, complemented
25#386×D83C211yesmaximal, characteristic
26#385×D83C211yesmaximal, characteristic, complemented
27#382×D83C211yesmaximal, characteristic, complemented
28#380×D83C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D83C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D83C211yesmaximal, characteristic, complemented
31C83×#2553C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic
35C2×#14581787C2211yescharacteristic, complemented
36C2×#14581787C2211yescharacteristic, complemented
37C2×#14581787C2211yescharacteristic, complemented
38C2×#14581786C2211yescharacteristic, complemented
39C2×#14581785C2211yescharacteristic, complemented
40C2×#14581785C2211yescharacteristic, complemented
41C2×#14581785C2211yescharacteristic, complemented
42#126×D83—28no—
43C2×#14581777C2211yescharacteristic
44C2×#14581777C2211yescharacteristic
45C2×#14581776C2211yescharacteristic
46C2×#14581775C2211yescharacteristic
47C2×#14581774C2211yescharacteristic
48C2×#14581774C2211yescharacteristic
49C2×#14581773C2211yescharacteristic
50#123×D83—28no—
51C2×C4⋊C4×D83C2211yescharacteristic
52C2×C4⋊C4×D83C2211yescharacteristic
53C2×C4⋊C4×D83C2211yescharacteristic
54C2×C4⋊C4×D83C2211yescharacteristic
55C2×C4⋊C4×D83C2211yescharacteristic
56C2×C4⋊C4×D83C2211yescharacteristic
57C2×C4⋊C4×D83C2211yescharacteristic
58C2×C4⋊C4×D83C2211yescharacteristic
59C2×C4⋊C4×D83C2211yescharacteristic
60C2×C22⋊C4×D83C2211yescharacteristic
61C2×C22⋊C4×D83C2211yescharacteristic
62C2×C22⋊C4×D83C2211yescharacteristic
63C2×C22⋊C4×D83C2211yescharacteristic
64C2×C22⋊C4×D83C2211yescharacteristic
65C2×C22⋊C4×D83C2211yescharacteristic
66C2×C22⋊C4×D83C2211yescharacteristic
67C2×C22⋊C4×D83C2211yescharacteristic
68C2×C22⋊C4×D83C2211yescharacteristic
69C2×C22⋊C4×D83C2211yescharacteristic
70C2×C42×D83C2211yescharacteristic
71C2×C42×D83C2211yescharacteristic
72C2×C42×D83C2211yescharacteristic
73#19127638C2211yescharacteristic, complemented
74#19127637C2211yescharacteristic, complemented
75#19127637C2211yescharacteristic, complemented
76#19127637C2211yescharacteristic, complemented
77#19127636C2211yescharacteristic, complemented
78#19127636C2211yescharacteristic, complemented
79#19127636C2211yescharacteristic, complemented
80#19127635C2211yescharacteristic, complemented
81#19127635C2211yescharacteristic, complemented
82#19127634C2211yescharacteristic, complemented
83#19127634C2211yescharacteristic, complemented
84#19127633C2211yescharacteristic, complemented
85#19127632C2211yescharacteristic, complemented
86#19127631C2211yescharacteristic, complemented
87#19127630C2211yescharacteristic, complemented
88#19127630C2211yescharacteristic, complemented
89#19127629C2211yescharacteristic, complemented
90#19127629C2211yescharacteristic, complemented
91#19127628C2211yescharacteristic, complemented
92#19127627C2211yescharacteristic, complemented
93#19127626C2211yescharacteristic, complemented
94#19127619C2211yescharacteristic
95#19127618C2211yescharacteristic
96#19127617C2211yescharacteristic
97#19127617C2211yescharacteristic
98#19127616C2211yescharacteristic
99#19127616C2211yescharacteristic
100#19127615C2211yescharacteristic
101#19127600C2211yescharacteristic, complemented
102#19127599C2211yescharacteristic, complemented
103#19127598C2211yescharacteristic, complemented
104#19127598C2211yescharacteristic, complemented
105#19127597C2211yescharacteristic, complemented
106#19127596C2211yescharacteristic, complemented
107#19127596C2211yescharacteristic, complemented
108#19127595C2211yescharacteristic, complemented
109#19127594C2211yescharacteristic, complemented
110#19127593C2211yescharacteristic, complemented
111#19127592C2211yescharacteristic, complemented
112#19127591C2211yescharacteristic, complemented
113#19127590C2211yescharacteristic, complemented
114#19127589C2211yescharacteristic, complemented
115#19127588C2211yescharacteristic, complemented
116#19127587C2211yescharacteristic, complemented
117#19127586C2211yescharacteristic, complemented
118#19127585C2211yescharacteristic, complemented
119#19127584C2211yescharacteristic, complemented
120#19127583C2211yescharacteristic, complemented
121#19127582C2211yescharacteristic, complemented
122#19127581C2211yescharacteristic
123#19127580C2211yescharacteristic
124#19127579C2211yescharacteristic
125#19127579C2211yescharacteristic
126#19127578C2211yescharacteristic
127#19127577C2211yescharacteristic
128#19127577C2211yescharacteristic
129#19127576C2211yescharacteristic, complemented
130#19127575C2211yescharacteristic, complemented
131#19127575C2211yescharacteristic, complemented
132#19127574C2211yescharacteristic, complemented
133#19127573C2211yescharacteristic, complemented
134#19127572C2211yescharacteristic, complemented
135#19127572C2211yescharacteristic, complemented
136#19127567C2211yescharacteristic, complemented
137#19127566C2211yescharacteristic, complemented
138#19127566C2211yescharacteristic, complemented
139#19127565C2211yescharacteristic, complemented
140#19127565C2211yescharacteristic, complemented
141#19127565C2211yescharacteristic, complemented
142#19127565C2211yescharacteristic, complemented
143#19127561C2211yescharacteristic, complemented
144#19127560C2211yescharacteristic, complemented
145#19127560C2211yescharacteristic, complemented
146#19127559C2211yescharacteristic, complemented
147#19127559C2211yescharacteristic, complemented
148#19127558C2211yescharacteristic, complemented
149#19127558C2211yescharacteristic, complemented
150C22⋊C4×Dic83C2211yescharacteristic, complemented
151C22⋊C4×Dic83C2211yescharacteristic, complemented
152C22⋊C4×Dic83C2211yescharacteristic, complemented
153C22⋊C4×Dic83C2211yescharacteristic, complemented
154C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
155C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
158C4×C22⋊Dic83C2211yescharacteristic, complemented
159C4×C22⋊Dic83C2211yescharacteristic, complemented
160#19127548C2211yescharacteristic, complemented
161#19127548C2211yescharacteristic, complemented
162#19127548C2211yescharacteristic, complemented
163#19127548C2211yescharacteristic, complemented
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#95×D83C2211yescharacteristic
173#95×D83C2211yescharacteristic
174C2×#126×C83C2211yescharacteristic, complemented
175C2×#123×C83C2211yescharacteristic
176#399×C83C2211yescharacteristic, complemented
177#398×C83C2211yescharacteristic, complemented
178#397×C83C2211yescharacteristic, complemented
179#394×C83C2211yescharacteristic
180#389×C83C2211yescharacteristic, complemented
181#388×C83C2211yescharacteristic, complemented
182#387×C83C2211yescharacteristic, complemented
183#386×C83C2211yescharacteristic
184#385×C83C2211yescharacteristic, complemented
185#382×C83C2211yescharacteristic, complemented
186#380×C83C2211yescharacteristic, complemented
187C4×C22⋊C4×C83C2211yescharacteristic, complemented
188C4×C22⋊C4×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C2×D4×D83—24no—
195C2×D4×D83—24no—
196C2×D4×D83—42no—
197C23×Dic83C2311yescharacteristic
198C23×Dic83C2311yescharacteristic
199C22×C4×D83—24no—
200C22×C4×D83—24no—
201C22×C4×D83—24no—
202C22×C4×D83—24no—
203C22×C4×D83—42no—
204C22×C4×D83—42no—
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
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222#14581787—24no—
223#14581787—24no—
224#14581787—24no—
225#14581786—24no—
226#14581785—24no—
227#14581785—24no—
228#14581785—24no—
229#14581777—24no—
230#14581777—24no—
231#14581776—24no—
232#14581775—24no—
233#14581774—24no—
234#14581774—24no—
235#14581773—24no—
236C2×C4⋊Dic83C2311yescharacteristic
237C2×C4⋊Dic83C2311yescharacteristic
238C2×C4⋊Dic83C2311yescharacteristic
239C2×C4⋊Dic83C2311yescharacteristic
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
242C2×C4⋊Dic83C2311yescharacteristic
243C2×C4⋊Dic83C2311yescharacteristic
244C2×C4⋊Dic83C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C4⋊C4×D83—24no—
264C4⋊C4×D83—24no—
265C4⋊C4×D83—24no—
266C4⋊C4×D83—24no—
267C4⋊C4×D83—24no—
268C4⋊C4×D83—24no—
269C4⋊C4×D83—24no—
270C4⋊C4×D83—42no—
271C4⋊C4×D83—42no—
272C2×C22⋊Dic83C2311yescharacteristic
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×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
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
302C22⋊C4×D83—24no—
303C22⋊C4×D83—24no—
304C22⋊C4×D83—24no—
305C22⋊C4×D83—24no—
306C22⋊C4×D83—24no—
307C22⋊C4×D83—24no—
308C22⋊C4×D83—24no—
309C22⋊C4×D83—24no—
310C22⋊C4×D83—24no—
311C22⋊C4×D83D418yes—
312C2×C4×Dic83C2311yescharacteristic
313C2×C4×Dic83C2311yescharacteristic
314C2×C4×Dic83C2311yescharacteristic
315C2×C4×Dic83C2311yescharacteristic
316C2×C4×Dic83C2311yescharacteristic
317C2×C4×Dic83C2311yescharacteristic
318C2×C4×Dic83C2311yescharacteristic
319C2×C4×Dic83C2311yescharacteristic
320C2×C4×Dic83C2311yescharacteristic
321C42×D83—24no—
322C42×D83—24no—
323C42×D83—42no—
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
352C83⋊#95C2311yescharacteristic
353C83⋊#95C2311yescharacteristic
354C22×D4×C83C2311yescharacteristic
355C23×C4×C83C2311yescharacteristic
356C23×C4×C83C2311yescharacteristic
357#126×C83—24no—
358#123×C83—24no—
359C2×C4⋊C4×C83C2311yescharacteristic
360C2×C4⋊C4×C83C2311yescharacteristic
361C2×C4⋊C4×C83C2311yescharacteristic
362C2×C4⋊C4×C83C2311yescharacteristic
363C2×C4⋊C4×C83C2311yescharacteristic
364C2×C4⋊C4×C83C2311yescharacteristic
365C2×C4⋊C4×C83C2311yescharacteristic
366C2×C4⋊C4×C83C2311yescharacteristic
367C2×C4⋊C4×C83C2311yescharacteristic
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×C42×C83C2311yescharacteristic
379C2×C42×C83C2311yescharacteristic
380C2×C42×C83C2311yescharacteristic
381#95×C83C2311yescharacteristic
382#95×C83C2311yescharacteristic
383#95×C83C2311yescharacteristic
384#95×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—22no—
394C23×D83—22no—
395C23×D83—22no—
396C23×D83—22no—
397C23×D83—22no—
398C23×D83—22no—
399C23×D83—22no—
400C23×D83—22no—
401C23×D83—22no—
402C23×D83—22no—
403C23×D83C2×D414yes—
404C23×D83#4114yes—
405C23×D83C2411yescharacteristic
406C23×D83C2411yescharacteristic
407C23×D83C2411yescharacteristic
408C2×D332—22no—
409C2×D332—22no—
410C2×D332—41no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—22no—
415C2×C22⋊D83—41no—
416C2×C22⋊D83—41no—
417D4×D83—416no—
418C22×Dic83—22no—
419C22×Dic83—22no—
420C22×Dic83—22no—
421C22×Dic83—22no—
422C22×Dic83—41no—
423C22×Dic83—41no—
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
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—22no—
452C2×C4×D83—22no—
453C2×C4×D83—22no—
454C2×C4×D83—22no—
455C2×C4×D83—22no—
456C2×C4×D83—22no—
457C2×C4×D83—22no—
458C2×C4×D83—22no—
459C2×C4×D83—22no—
460C2×C4×D83—22no—
461C2×C4×D83—22no—
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—416no—
480C2×C4×D83—416no—
481C2×C4×D83—41no—
482C2×C4×D83—41no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83C2×D414yes—
486C2×C4×D83C2×D414yes—
487C2×C4×D83#4114yes—
488C2×C4×D83#4114yes—
489C2×C4×D83#4114yes—
490C4⋊Dic83—22no—
491C4⋊Dic83—22no—
492C4⋊Dic83—22no—
493C4⋊Dic83—22no—
494C4⋊Dic83—22no—
495C4⋊Dic83—22no—
496C4⋊Dic83—22no—
497C4⋊Dic83—41no—
498C4⋊Dic83—41no—
499Dic83⋊C4—22no—
500Dic83⋊C4—22no—
501Dic83⋊C4—22no—
502Dic83⋊C4—22no—
503Dic83⋊C4—22no—
504Dic83⋊C4—22no—
505Dic83⋊C4—22no—
506Dic83⋊C4—22no—
507Dic83⋊C4—22no—
508Dic83⋊C4—22no—
509Dic83⋊C4—22no—
510Dic83⋊C4—22no—
511Dic83⋊C4—22no—
512Dic83⋊C4—22no—
513Dic83⋊C4—41no—
514Dic83⋊C4—41no—
515Dic83⋊C4—41no—
516Dic83⋊C4—41no—
517C22⋊Dic83—22no—
518C22⋊Dic83—22no—
519C22⋊Dic83—22no—
520C22⋊Dic83—22no—
521C22⋊Dic83—22no—
522C22⋊Dic83—22no—
523C22⋊Dic83—22no—
524C22⋊Dic83—22no—
525C22⋊Dic83—22no—
526C22⋊Dic83C2×D414yes—
527(C2×D83)⋊C4—22no—
528(C2×D83)⋊C4—22no—
529(C2×D83)⋊C4—22no—
530(C2×D83)⋊C4—22no—
531(C2×D83)⋊C4—22no—
532(C2×D83)⋊C4—22no—
533(C2×D83)⋊C4—22no—
534(C2×D83)⋊C4—22no—
535(C2×D83)⋊C4—22no—
536(C2×D83)⋊C4—22no—
537(C2×D83)⋊C4—22no—
538(C2×D83)⋊C4—22no—
539(C2×D83)⋊C4—22no—
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)⋊C4C2×D414yes—
546(C2×D83)⋊C4C2×D414yes—
547C4×Dic83—22no—
548C4×Dic83—22no—
549C4×Dic83—22no—
550C4×Dic83—22no—
551C4×Dic83—22no—
552C4×Dic83—22no—
553C4×Dic83—41no—
554C4×Dic83—41no—
555C4×Dic83—41no—
556C24×C83C2411yescharacteristic
557C24×C83C2411yescharacteristic
558C2×D4×C83—22no—
559C2×D4×C83—22no—
560C2×D4×C83—41no—
561C22×C4×C83—22no—
562C22×C4×C83—22no—
563C22×C4×C83—22no—
564C22×C4×C83—22no—
565C22×C4×C83—41no—
566C22×C4×C83—41no—
567C22×C4×C83C2411yescharacteristic
568C22×C4×C83C2411yescharacteristic
569C22×C4×C83C2411yescharacteristic
570C22×C4×C83C2411yescharacteristic
571C22×C4×C83C2411yescharacteristic
572C22×C4×C83C2411yescharacteristic
573C22×C4×C83C2411yescharacteristic
574C22×C4×C83C2411yescharacteristic
575C22×C4×C83C2411yescharacteristic
576C22×C4×C83C2411yescharacteristic
577C22×C4×C83C2411yescharacteristic
578C22×C4×C83C2411yescharacteristic
579C22×C4×C83C2411yescharacteristic
580C4⋊C4×C83—22no—
581C4⋊C4×C83—22no—
582C4⋊C4×C83—22no—
583C4⋊C4×C83—22no—
584C4⋊C4×C83—22no—
585C4⋊C4×C83—22no—
586C4⋊C4×C83—22no—
587C4⋊C4×C83—41no—
588C4⋊C4×C83—41no—
589C22⋊C4×C83—22no—
590C22⋊C4×C83—22no—
591C22⋊C4×C83—22no—
592C22⋊C4×C83—22no—
593C22⋊C4×C83—22no—
594C22⋊C4×C83—22no—
595C22⋊C4×C83—22no—
596C22⋊C4×C83—22no—
597C22⋊C4×C83—22no—
598C22⋊C4×C83C2×D414yes—
599C42×C83—22no—
600C42×C83—22no—
601C42×C83—41no—
602C23×C83—21no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—21no—
611C23×C83—21no—
612C23×C83—21no—
613C23×C83—21no—
614C23×C83C22×D412yes—
615C23×C83C2×#4112yes—
616C23×C83C2511yescharacteristic
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—21no—
623C22×D83—21no—
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×D83—21no—
629C22×D83—28no—
630C22×D83—28no—
631C22×D83—28no—
632C22×D83—28no—
633C22×D83—28no—
634C22×D83—28no—
635C22×D83—44no—
636C22×D83—44no—
637C22×D83—44no—
638C22×D83—44no—
639C22×D83—44no—
640C22×D83—44no—
641C22×D83—44no—
642C22×D83—44no—
643C22×D83C22×D412yes—
644C22×D83C22×D412yes—
645C22×D83C2×#4112yes—
646C22×D83C2×#4112yes—
647C22×D83C2×#4112yes—
648C22×D83C2×#4112yes—
649C22×D83C2×#4112yes—
650C22×D83H(5,𝔽2)12yes—
651C22×D832−1+412yes—
652D4×C83—44no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—21no—
679C2×C4×C83—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—21no—
685C2×C4×C83—21no—
686C2×C4×C83—21no—
687C2×C4×C83—44no—
688C2×C4×C83—44no—
689C2×C4×C83C22×D412yes—
690C2×C4×C83C22×D412yes—
691C2×C4×C83C2×#4112yes—
692C2×C4×C83C2×#4112yes—
693C2×C4×C83C2×#4112yes—
694C22⋊D83—44no—
695C22⋊D83—44no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717C2×Dic83—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—21no—
725C2×Dic83—21no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—21no—
729C2×Dic83—21no—
730C2×Dic83—44no—
731C2×Dic83—44no—
732C2×Dic83C22×D412yes—
733C2×Dic83C22×D412yes—
734C2×Dic83C2×#4112yes—
735C2×Dic83C2×#4112yes—
736C2×Dic83C2×#4112yes—
737D332—44no—
738C4×D83—28no—
739C4×D83—28no—
740C4×D83—28no—
741C4×D83—28no—
742C4×D83—28no—
743C4×D83—44no—
744C4×D83—44no—
745C4×D83—44no—
746C4×D83—44no—
747C4×D83—44no—
748C4×D83—44no—
749C4×D83—44no—
750C4×D83—44no—
751C4×D83—44no—
752C4×D83—44no—
753C4×D83—44no—
754C4×D83—44no—
755C22×C83—22no—
756C22×C83—22no—
757C22×C83—22no—
758C22×C83—22no—
759C22×C83—22no—
760C22×C83—22no—
761C22×C83—41no—
762C22×C83—41no—
763C22×C83—41no—
764C22×C83—41no—
765C22×C83—41no—
766C22×C83—41no—
767C22×C83—41no—
768C22×C83—41no—
769C22×C83C23×D411yescharacteristic
770C22×C83C22×#4111yescharacteristic
771C22×C83C22×#4111yescharacteristic
772C22×C83C22×#4111yescharacteristic
773C22×C83C22×#4111yescharacteristic
774C22×C83C2×H(5,𝔽2)11yescharacteristic
775C22×C83C2×2−1+411yescharacteristic
776C2×D83—22no—
777C2×D83—22no—
778C2×D83—22no—
779C2×D83—22no—
780C2×D83—22no—
781C2×D83—22no—
782C2×D83—41no—
783C2×D83—41no—
784C2×D83—41no—
785C2×D83—41no—
786C2×D83—41no—
787C2×D83—41no—
788C2×D83—41no—
789C2×D83—41no—
790C2×D83—416no—
791C2×D83—416no—
792C2×D83#52914yes—
793C2×D83#53214yes—
794C2×D83#53914yes—
795C2×D83#54614yes—
796C2×D83#54714yes—
797C2×D83#55114yes—
798C2×D83#55214yes—
799C4×C83—22no—
800C4×C83—22no—
801C4×C83—22no—
802C4×C83—22no—
803C4×C83—22no—
804C4×C83—41no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808C4×C83—41no—
809C4×C83—41no—
810C4×C83—41no—
811C4×C83—41no—
812Dic83—22no—
813Dic83—22no—
814Dic83—22no—
815Dic83—22no—
816Dic83—22no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822Dic83—41no—
823Dic83—41no—
824Dic83—41no—
825C2×#2553—831nomaximal, Sylow
826C2×C83—42no—
827C2×C83—42no—
828C2×C83C2×#52911yescharacteristic
829C2×C83C2×#53211yescharacteristic
830C2×C83C2×#53911yescharacteristic
831C2×C83C2×#54611yescharacteristic
832C2×C83C2×#54711yescharacteristic
833C2×C83C2×#55111yescharacteristic
834C2×C83C2×#55211yescharacteristic
835D83—42no—
836D83—42no—
837D83#255318yesdirect product factor
838C22×#126—831no—
839C22×#123—831no—
840#2553—831no—
841#2553—831no—
842#2553—831no—
843#2553—831no—
844#2553—831no—
845#2553—831no—
846#2553—831no—
847#2553—831no—
848#2553—831no—
849#2553—831no—
850#2553—831no—
851#2553—831no—
852#2553—831no—
853#2553—831no—
854#2553—831no—
855#2553D8311yescharacteristic, direct product factor
856C2×#399—831no—
857C2×#398—831no—
858C2×#397—831no—
859C2×#394—831no—
860C2×#389—831no—
861C2×#388—831no—
862C2×#387—831no—
863C2×#386—831no—
864C2×#385—831no—
865C2×#382—831no—
866C2×#380—831no—
867C2×C4×C22⋊C4—831no—
868C2×C4×C22⋊C4—831no—
869C83C2×#255311yescharacteristic, complemented, Sylow
870C23×D4—831no—
871C24×C4—831no—
872C24×C4—831no—
873C2×#126—831no—
874C2×#126—831no—
875C2×#126—831no—
876C2×#126—831no—
877C2×#126—831no—
878C2×#126—831no—
879C2×#126—831no—
880C2×#126—1668no—
881C2×#126C2×D8311yescharacteristic, complemented
882C2×#123—831no—
883C2×#123—831no—
884C2×#123—831no—
885C2×#123—831no—
886C2×#123—831no—
887C2×#123—831no—
888C2×#123—831no—
889C2×#123—1668no—
890C2×#123C2×D8311yescharacteristic
891C22×C4⋊C4—831no—
892C22×C4⋊C4—831no—
893C22×C4⋊C4—831no—
894C22×C4⋊C4—831no—
895C22×C4⋊C4—831no—
896C22×C4⋊C4—831no—
897C22×C4⋊C4—831no—
898C22×C4⋊C4—831no—
899C22×C4⋊C4—831no—
900C22×C22⋊C4—831no—
901C22×C22⋊C4—831no—
902C22×C22⋊C4—831no—
903C22×C22⋊C4—831no—
904C22×C22⋊C4—831no—
905C22×C22⋊C4—831no—
906C22×C22⋊C4—831no—
907C22×C22⋊C4—831no—
908C22×C22⋊C4—831no—
909C22×C22⋊C4—831no—
910C22×C42—831no—
911C22×C42—831no—
912C22×C42—831no—
913#399—831no—
914#399—831no—
915#399—831no—
916#399—831no—
917#399—831no—
918#399—831no—
919#399—831no—
920#399C2×D8311yescharacteristic, complemented
921#398—831no—
922#398—831no—
923#398—831no—
924#398—831no—
925#398—831no—
926#398—831no—
927#398—831no—
928#398C2×D8311yescharacteristic, complemented
929#397—831no—
930#397—831no—
931#397—831no—
932#397—831no—
933#397—831no—
934#397—831no—
935#397—831no—
936#397C2×D8311yescharacteristic, complemented
937#394—831no—
938#394—831no—
939#394—831no—
940#394—831no—
941#394—831no—
942#394—831no—
943#394—831no—
944#394C2×D8311yescharacteristic
945#389—831no—
946#389—831no—
947#389—831no—
948#389—831no—
949#389—831no—
950#389—831no—
951#389—831no—
952#389C2×D8311yescharacteristic, complemented
953#388—831no—
954#388—831no—
955#388—831no—
956#388—831no—
957#388—831no—
958#388—831no—
959#388—831no—
960#388C2×D8311yescharacteristic, complemented
961#387—831no—
962#387—831no—
963#387—831no—
964#387—831no—
965#387—831no—
966#387—831no—
967#387—831no—
968#387C2×D8311yescharacteristic, complemented
969#386—831no—
970#386—831no—
971#386—831no—
972#386—831no—
973#386—831no—
974#386—831no—
975#386—831no—
976#386C2×D8311yescharacteristic
977#385—831no—
978#385—831no—
979#385—831no—
980#385—831no—
981#385—831no—
982#385—831no—
983#385—831no—
984#385C2×D8311yescharacteristic, complemented
985#382—831no—
986#382—831no—
987#382—831no—
988#382—831no—
989#382—831no—
990#382—831no—
991#382—831no—
992#382C2×D8311yescharacteristic, complemented
993#380—831no—
994#380—831no—
995#380—831no—
996#380—831no—
997#380—831no—
998#380—831no—
999#380—831no—
1000#380C2×D8311yescharacteristic, complemented
1001C4×C22⋊C4—831no—
1002C4×C22⋊C4—831no—
1003C4×C22⋊C4—831no—
1004C4×C22⋊C4—831no—
1005C4×C22⋊C4—831no—
1006C4×C22⋊C4—831no—
1007C4×C22⋊C4—831no—
1008C4×C22⋊C4—831no—
1009C4×C22⋊C4—831no—
1010C4×C22⋊C4—831no—
1011C4×C22⋊C4—831no—
1012C4×C22⋊C4—831no—
1013C4×C22⋊C4—831no—
1014C4×C22⋊C4—831no—
1015C4×C22⋊C4C2×D8311yescharacteristic, complemented
1016C4×C22⋊C4C2×D8311yescharacteristic, complemented
1017C2×#95—831no—
1018C2×#95—831no—
1019C2×#95—831no—
1020C2×#95—831no—
1021C2×#95—831no—
1022C2×#95—831no—
1023C2×#95—831no—
1024C2×#95—831no—
1025C2×#95—831no—
1026C2×#95—831no—
1027C25—831no—
1028C25—831no—
1029C22×D4—3322no—
1030C22×D4—831no—
1031C22×D4—831no—
1032C22×D4—831no—
1033C22×D4—1664no—
1034C22×D4—1664no—
1035C22×D4C22×D8311yescharacteristic
1036C23×C4—3322no—
1037C23×C4—3322no—
1038C23×C4—831no—
1039C23×C4—831no—
1040C23×C4—831no—
1041C23×C4—831no—
1042C23×C4—831no—
1043C23×C4—831no—
1044C23×C4—831no—
1045C23×C4—831no—
1046C23×C4—831no—
1047C23×C4—831no—
1048C23×C4—831no—
1049C23×C4—831no—
1050C23×C4—831no—
1051C23×C4—831no—
1052C23×C4—831no—
1053C23×C4—831no—
1054C23×C4—831no—
1055C23×C4—831no—
1056C23×C4—831no—
1057C23×C4—1664no—
1058C23×C4—1664no—
1059C23×C4—1664no—
1060C23×C4—1664no—
1061C23×C4C22×D8311yescharacteristic
1062C23×C4C22×D8311yescharacteristic
1063#126—24no—
1064#126—1664no—
1065#126—1664no—
1066#126—1664no—
1067#126—1664no—
1068#126—1664no—
1069#126—1664no—
1070#126—1664no—
1071#123—24no—
1072#123—1664no—
1073#123—1664no—
1074#123—1664no—
1075#123—1664no—
1076#123—1664no—
1077#123—1664no—
1078#123—1664no—
1079C2×C4⋊C4—3322no—
1080C2×C4⋊C4—3322no—
1081C2×C4⋊C4—831no—
1082C2×C4⋊C4—831no—
1083C2×C4⋊C4—831no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4—831no—
1089C2×C4⋊C4—831no—
1090C2×C4⋊C4—831no—
1091C2×C4⋊C4—831no—
1092C2×C4⋊C4—831no—
1093C2×C4⋊C4—831no—
1094C2×C4⋊C4—831no—
1095C2×C4⋊C4—831no—
1096C2×C4⋊C4—831no—
1097C2×C4⋊C4—831no—
1098C2×C4⋊C4—831no—
1099C2×C4⋊C4—831no—
1100C2×C4⋊C4—831no—
1101C2×C4⋊C4—831no—
1102C2×C4⋊C4—831no—
1103C2×C4⋊C4—831no—
1104C2×C4⋊C4—831no—
1105C2×C4⋊C4—831no—
1106C2×C4⋊C4—831no—
1107C2×C4⋊C4—831no—
1108C2×C4⋊C4—1664no—
1109C2×C4⋊C4—1664no—
1110C2×C4⋊C4—1664no—
1111C2×C4⋊C4—1664no—
1112C2×C4⋊C4—1664no—
1113C2×C4⋊C4—1664no—
1114C2×C4⋊C4—1664no—
1115C2×C4⋊C4C22×D8311yescharacteristic
1116C2×C4⋊C4C22×D8311yescharacteristic
1117C2×C4⋊C4C22×D8311yescharacteristic
1118C2×C4⋊C4C22×D8311yescharacteristic
1119C2×C4⋊C4C22×D8311yescharacteristic
1120C2×C4⋊C4C22×D8311yescharacteristic
1121C2×C4⋊C4C22×D8311yescharacteristic
1122C2×C4⋊C4C22×D8311yescharacteristic
1123C2×C4⋊C4C22×D8311yescharacteristic
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—838no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—831no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4—831no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—831no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4—831no—
1138C2×C22⋊C4—831no—
1139C2×C22⋊C4—831no—
1140C2×C22⋊C4—831no—
1141C2×C22⋊C4—831no—
1142C2×C22⋊C4—831no—
1143C2×C22⋊C4—831no—
1144C2×C22⋊C4—831no—
1145C2×C22⋊C4—831no—
1146C2×C22⋊C4—831no—
1147C2×C22⋊C4—831no—
1148C2×C22⋊C4—831no—
1149C2×C22⋊C4—831no—
1150C2×C22⋊C4—831no—
1151C2×C22⋊C4—831no—
1152C2×C22⋊C4—831no—
1153C2×C22⋊C4—831no—
1154C2×C22⋊C4—831no—
1155C2×C22⋊C4—1664no—
1156C2×C22⋊C4—1664no—
1157C2×C22⋊C4—1664no—
1158C2×C22⋊C4—1664no—
1159C2×C22⋊C4—1664no—
1160C2×C22⋊C4—1664no—
1161C2×C22⋊C4—1664no—
1162C2×C22⋊C4—1664no—
1163C2×C22⋊C4—1664no—
1164C2×C22⋊C4C22×D8311yescharacteristic
1165C2×C22⋊C4C22×D8311yescharacteristic
1166C2×C22⋊C4C22×D8311yescharacteristic
1167C2×C22⋊C4C22×D8311yescharacteristic
1168C2×C22⋊C4C22×D8311yescharacteristic
1169C2×C22⋊C4C22×D8311yescharacteristic
1170C2×C22⋊C4C22×D8311yescharacteristic
1171C2×C22⋊C4C22×D8311yescharacteristic
1172C2×C22⋊C4C22×D8311yescharacteristic
1173C2×C22⋊C4C22×D8311yescharacteristic
1174C2×C42—3322no—
1175C2×C42—831no—
1176C2×C42—831no—
1177C2×C42—831no—
1178C2×C42—831no—
1179C2×C42—831no—
1180C2×C42—831no—
1181C2×C42—831no—
1182C2×C42—831no—
1183C2×C42—831no—
1184C2×C42—1664no—
1185C2×C42—1664no—
1186C2×C42C22×D8311yescharacteristic
1187C2×C42C22×D8311yescharacteristic
1188C2×C42C22×D8311yescharacteristic
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#95—831no—
1199#95—831no—
1200#95—831no—
1201#95—831no—
1202#95—831no—
1203#95—831no—
1204#95—831no—
1205#95—831no—
1206#95—831no—
1207#95—831no—
1208#95—831no—
1209#95—831no—
1210#95—831no—
1211#95—831no—
1212#95—831no—
1213#95—831no—
1214#95—831no—
1215#95—831no—
1216#95—831no—
1217#95—831no—
1218#95—831no—
1219#95C22×D8311yescharacteristic
1220#95C22×D8311yescharacteristic
1221#95C22×D8311yescharacteristic
1222#95C22×D8311yescharacteristic
1223#95C22×D8311yescharacteristic
1224#95C22×D8311yescharacteristic
1225#95C22×D8311yescharacteristic
1226#95C22×D8311yescharacteristic
1227#95C22×D8311yescharacteristic
1228#95C22×D8311yescharacteristic
1229C24—831no—
1230C24—834no—
1231C24—834no—
1232C24—831no—
1233C24—831no—
1234C24—1662no—
1235C24—1662no—
1236C24—1662no—
1237C24—1662no—
1238C24—1662no—
1239C24—1662no—
1240C24—1662no—
1241C24—1662no—
1242C24—1662no—
1243C24—1662no—
1244C24—1662no—
1245C24—1662no—
1246C24C23×D8311yescharacteristic
1247C24C23×D8311yescharacteristic
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—41no—
1251C2×D4—3321no—
1252C2×D4—33216no—
1253C2×D4—3321no—
1254C2×D4—3321no—
1255C2×D4—1662no—
1256C2×D4—1662no—
1257C2×D4—1662no—
1258C2×D4—1662no—
1259C2×D4—1662no—
1260C2×D4—1662no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—3321no—
1268C22×C4—3321no—
1269C22×C4—3321no—
1270C22×C4—3321no—
1271C22×C4—33216no—
1272C22×C4—33216no—
1273C22×C4—3321no—
1274C22×C4—3321no—
1275C22×C4—831no—
1276C22×C4—831no—
1277C22×C4—831no—
1278C22×C4—831no—
1279C22×C4—831no—
1280C22×C4—834no—
1281C22×C4—834no—
1282C22×C4—834no—
1283C22×C4—834no—
1284C22×C4—834no—
1285C22×C4—831no—
1286C22×C4—831no—
1287C22×C4—831no—
1288C22×C4—831no—
1289C22×C4—831no—
1290C22×C4—831no—
1291C22×C4—831no—
1292C22×C4—831no—
1293C22×C4—1662no—
1294C22×C4—1662no—
1295C22×C4—1662no—
1296C22×C4—1662no—
1297C22×C4—1662no—
1298C22×C4—1662no—
1299C22×C4—1662no—
1300C22×C4—1662no—
1301C22×C4—1662no—
1302C22×C4—1662no—
1303C22×C4—1662no—
1304C22×C4—1662no—
1305C22×C4—1662no—
1306C22×C4—1662no—
1307C22×C4—1662no—
1308C22×C4—1662no—
1309C22×C4—1662no—
1310C22×C4—1662no—
1311C22×C4—1662no—
1312C22×C4—1662no—
1313C22×C4—1662no—
1314C22×C4—1662no—
1315C22×C4—1662no—
1316C22×C4—1662no—
1317C22×C4—1662no—
1318C22×C4—1662no—
1319C22×C4—1662no—
1320C22×C4—1662no—
1321C22×C4—1662no—
1322C22×C4—1662no—
1323C22×C4—1662no—
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×C4C23×D8311yescharacteristic
1340C22×C4C23×D8311yescharacteristic
1341C22×C4C23×D8311yescharacteristic
1342C22×C4C23×D8311yescharacteristic
1343C22×C4C23×D8311yescharacteristic
1344C22×C4C23×D8311yescharacteristic
1345C22×C4C23×D8311yescharacteristic
1346C22×C4C23×D8311yescharacteristic
1347C22×C4C23×D8311yescharacteristic
1348C22×C4C23×D8311yescharacteristic
1349C22×C4C23×D8311yescharacteristic
1350C22×C4C23×D8311yescharacteristic
1351C22×C4C23×D8311yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—3321no—
1362C4⋊C4—3321no—
1363C4⋊C4—3321no—
1364C4⋊C4—3321no—
1365C4⋊C4—3321no—
1366C4⋊C4—3321no—
1367C4⋊C4—1662no—
1368C4⋊C4—1662no—
1369C4⋊C4—1662no—
1370C4⋊C4—1662no—
1371C4⋊C4—1662no—
1372C4⋊C4—1662no—
1373C4⋊C4—1662no—
1374C4⋊C4—1662no—
1375C4⋊C4—1662no—
1376C4⋊C4—1662no—
1377C4⋊C4—1662no—
1378C4⋊C4—1662no—
1379C4⋊C4—1662no—
1380C4⋊C4—1662no—
1381C4⋊C4—1662no—
1382C4⋊C4—1662no—
1383C4⋊C4—1662no—
1384C4⋊C4—1662no—
1385C4⋊C4—1662no—
1386C4⋊C4—1662no—
1387C4⋊C4—1662no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—834no—
1398C22⋊C4—834no—
1399C22⋊C4—834no—
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⋊C4D4×D8314yes—
1428C42—22no—
1429C42—22no—
1430C42—41no—
1431C42—3321no—
1432C42—3321no—
1433C42—3321no—
1434C42—1662no—
1435C42—1662no—
1436C42—1662no—
1437C42—1662no—
1438C42—1662no—
1439C42—1662no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—3324no—
1453C23—3324no—
1454C23—3324no—
1455C23—3324no—
1456C23—3324no—
1457C23—3324no—
1458C23—3324no—
1459C23—3324no—
1460C23—832no—
1461C23—832no—
1462C23—832no—
1463C23—832no—
1464C23—832no—
1465C23—832no—
1466C23—832no—
1467C23—832no—
1468C23—832no—
1469C23—1668no—
1470C23—1668no—
1471C23—1668no—
1472C23—1668no—
1473C23—1668no—
1474C23—1668no—
1475C23—1661no—
1476C23—1661no—
1477C23—1661no—
1478C23—1661no—
1479C23—1661no—
1480C23—1661no—
1481C23—1661no—
1482C23—1661no—
1483C23—1661no—
1484C23—1661no—
1485C23—1661no—
1486C23—1661no—
1487C23C2×D4×D8312yes—
1488C23#41×D8312yes—
1489C23C24×D8311yescharacteristic
1490D4—44no—
1491D4—3324no—
1492D4—3324no—
1493D4—3324no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—3324no—
1531C2×C4—3324no—
1532C2×C4—3324no—
1533C2×C4—3324no—
1534C2×C4—3324no—
1535C2×C4—3324no—
1536C2×C4—3324no—
1537C2×C4—3324no—
1538C2×C4—3324no—
1539C2×C4—3324no—
1540C2×C4—3324no—
1541C2×C4—3324no—
1542C2×C4—3324no—
1543C2×C4—3324no—
1544C2×C4—832no—
1545C2×C4—832no—
1546C2×C4—832no—
1547C2×C4—832no—
1548C2×C4—832no—
1549C2×C4—1668no—
1550C2×C4—1668no—
1551C2×C4—1668no—
1552C2×C4—1668no—
1553C2×C4—1668no—
1554C2×C4—1661no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4—1661no—
1562C2×C4—1661no—
1563C2×C4—1661no—
1564C2×C4—1661no—
1565C2×C4—1661no—
1566C2×C4—1661no—
1567C2×C4—1661no—
1568C2×C4—1661no—
1569C2×C4—1661no—
1570C2×C4—1661no—
1571C2×C4—1661no—
1572C2×C4—1661no—
1573C2×C4—1661no—
1574C2×C4—1661no—
1575C2×C4—1661no—
1576C2×C4—1661no—
1577C2×C4—1661no—
1578C2×C4—1661no—
1579C2×C4—1661no—
1580C2×C4—1661no—
1581C2×C4—1661no—
1582C2×C4—1661no—
1583C2×C4—1661no—
1584C2×C4—1661no—
1585C2×C4—1661no—
1586C2×C4—1661no—
1587C2×C4—1661no—
1588C2×C4C2×D4×D8312yes—
1589C2×C4C2×D4×D8312yes—
1590C2×C4#41×D8312yes—
1591C2×C4#41×D8312yes—
1592C2×C4#41×D8312yes—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—33216no—
1608C22—33216no—
1609C22—3321no—
1610C22—3321no—
1611C22—3321no—
1612C22—3321no—
1613C22—3321no—
1614C22—3321no—
1615C22—3321no—
1616C22—3321no—
1617C22—834no—
1618C22—834no—
1619C22—834no—
1620C22—834no—
1621C22—834no—
1622C22—834no—
1623C22—834no—
1624C22—1662no—
1625C22—1662no—
1626C22—1662no—
1627C22—1662no—
1628C22—1662no—
1629C22—1662no—
1630C22C22×D4×D8311yescharacteristic
1631C22C2×#41×D8311yescharacteristic
1632C22C2×#41×D8311yescharacteristic
1633C22C2×#41×D8311yescharacteristic
1634C22C2×#41×D8311yescharacteristic
1635C22H(5,𝔽2)×D8311yescharacteristic
1636C222−1+4×D8311yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—3321no—
1651C4—3321no—
1652C4—3321no—
1653C4—3321no—
1654C4—3321no—
1655C4—3321no—
1656C4—3321no—
1657C4—3321no—
1658C4—1662no—
1659C4—1662no—
1660C4—1662no—
1661C4—1662no—
1662C4—1662no—
1663C2—42no—
1664C2—42no—
1665C2—3322no—
1666C2—3322no—
1667C2—838no—
1668C2#529×D8311yescharacteristic
1669C2#532×D8311yescharacteristic
1670C2#539×D8311yescharacteristic
1671C2#546×D8311yescharacteristic
1672C2#547×D8311yescharacteristic
1673C2#551×D8311yescharacteristic
1674C2#552×D8311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2553C2
prime radicalC22×D4×D83C22
hypercenter#2553D83
hypocenterC83C2×#2553
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2553

Complements

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

NH ≅ G/Ntype
1. C2×#126×D83C2semidirect
3. #24912515C2semidirect
4. #24912514C2semidirect
5. #24912513C2semidirect
6. #24912512C2semidirect
7. #24912511C2semidirect
8. #24912510C2semidirect
9. #24912509C2semidirect
10. #24912508C2semidirect
11. #24912507C2semidirect
12. #24912506C2semidirect
13. #24912505C2semidirect
14. #24912504C2semidirect
15. #24912503C2semidirect
16. #24912502C2semidirect
17. #24912501C2semidirect
18. #399×D83C2semidirect
19. #398×D83C2semidirect
20. #397×D83C2semidirect
22. #389×D83C2semidirect
23. #388×D83C2semidirect
24. #387×D83C2semidirect
26. #385×D83C2semidirect
27. #382×D83C2semidirect
28. #380×D83C2semidirect
29. C4×C22⋊C4×D83C2semidirect
30. C4×C22⋊C4×D83C2semidirect
31. C83×#2553C2semidirect
35. C2×#14581787C22semidirect
36. C2×#14581787C22semidirect
37. C2×#14581787C22semidirect
38. C2×#14581786C22semidirect
39. C2×#14581785C22semidirect
40. C2×#14581785C22semidirect
41. C2×#14581785C22semidirect
73. #19127638C22semidirect
74. #19127637C22semidirect
75. #19127637C22semidirect
76. #19127637C22semidirect
77. #19127636C22semidirect
78. #19127636C22semidirect
79. #19127636C22semidirect
80. #19127635C22semidirect
81. #19127635C22semidirect
82. #19127634C22semidirect
83. #19127634C22semidirect
84. #19127633C22semidirect
85. #19127632C22semidirect
86. #19127631C22semidirect
87. #19127630C22semidirect
88. #19127630C22semidirect
89. #19127629C22semidirect
90. #19127629C22semidirect
91. #19127628C22semidirect
92. #19127627C22semidirect
93. #19127626C22semidirect
101. #19127600C22semidirect
102. #19127599C22semidirect
103. #19127598C22semidirect
104. #19127598C22semidirect
105. #19127597C22semidirect
106. #19127596C22semidirect
107. #19127596C22semidirect
108. #19127595C22semidirect
109. #19127594C22semidirect
110. #19127593C22semidirect
111. #19127592C22semidirect
112. #19127591C22semidirect
113. #19127590C22semidirect
114. #19127589C22semidirect
115. #19127588C22semidirect
116. #19127587C22semidirect
117. #19127586C22semidirect
118. #19127585C22semidirect
119. #19127584C22semidirect
120. #19127583C22semidirect
121. #19127582C22semidirect
129. #19127576C22semidirect
130. #19127575C22semidirect
131. #19127575C22semidirect
132. #19127574C22semidirect
133. #19127573C22semidirect
134. #19127572C22semidirect
135. #19127572C22semidirect
136. #19127567C22semidirect
137. #19127566C22semidirect
138. #19127566C22semidirect
139. #19127565C22semidirect
140. #19127565C22semidirect
141. #19127565C22semidirect
142. #19127565C22semidirect
143. #19127561C22semidirect
144. #19127560C22semidirect
145. #19127560C22semidirect
146. #19127559C22semidirect
147. #19127559C22semidirect
148. #19127558C22semidirect
149. #19127558C22semidirect
150. C22⋊C4×Dic83C22semidirect
151. C22⋊C4×Dic83C22semidirect
152. C22⋊C4×Dic83C22semidirect
153. C22⋊C4×Dic83C22semidirect
154. C4×(C2×D83)⋊C4C22semidirect
155. C4×(C2×D83)⋊C4C22semidirect
156. C4×(C2×D83)⋊C4C22semidirect
157. C4×(C2×D83)⋊C4C22semidirect
158. C4×C22⋊Dic83C22semidirect
159. C4×C22⋊Dic83C22semidirect
160. #19127548C22semidirect
161. #19127548C22semidirect
162. #19127548C22semidirect
163. #19127548C22semidirect
174. C2×#126×C83C22semidirect
176. #399×C83C22semidirect
177. #398×C83C22semidirect
178. #397×C83C22semidirect
180. #389×C83C22semidirect
181. #388×C83C22semidirect
182. #387×C83C22semidirect
184. #385×C83C22semidirect
185. #382×C83C22semidirect
186. #380×C83C22semidirect
187. C4×C22⋊C4×C83C22semidirect
188. C4×C22⋊C4×C83C22semidirect
837. D83#2553direct (N × H)
855. #2553D83direct (N × H)
869. C83C2×#2553semidirect
881. C2×#126C2×D83semidirect
920. #399C2×D83semidirect
928. #398C2×D83semidirect
936. #397C2×D83semidirect
952. #389C2×D83semidirect
960. #388C2×D83semidirect
968. #387C2×D83semidirect
984. #385C2×D83semidirect
992. #382C2×D83semidirect
1000. #380C2×D83semidirect
1015. C4×C22⋊C4C2×D83semidirect
1016. C4×C22⋊C4C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D832
C2×#123×D832
#249125152
#249125142
#249125132
#249125122
#249125112
#249125102
#249125092
#249125082
#249125072
#249125062
#249125052
#249125042
#249125032
#249125022
#249125012
#399×D832
#398×D832
#397×D832
#394×D832
#389×D832
#388×D832
#387×D832
#386×D832
#385×D832
#382×D832
#380×D832
C4×C22⋊C4×D832
C83×#25532
C2×#255383