Finite Group Databasebeta

← #2473×D83 #35571990

Subgroups — #2473×D83 #35571990

Order 21248.

2942 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#125×D83C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D83C211yesmaximal, characteristic
3#24911611C211yesmaximal, characteristic, complemented
4#24911610C211yesmaximal, characteristic, complemented
5#24911609C211yesmaximal, characteristic, complemented
6#24911608C211yesmaximal, characteristic, complemented
7#24911607C211yesmaximal, characteristic, complemented
8#24911606C211yesmaximal, characteristic, complemented
9#24911605C211yesmaximal, characteristic, complemented
10#24911604C211yesmaximal, characteristic, complemented
11#24911603C211yesmaximal, characteristic, complemented
12#24911602C211yesmaximal, characteristic, complemented
13#24911601C211yesmaximal, characteristic, complemented
14#24911600C211yesmaximal, characteristic, complemented
15#24911599C211yesmaximal, characteristic, complemented
16#24911598C211yesmaximal, characteristic, complemented
17#24911597C211yesmaximal, characteristic, complemented
18#400×D83C211yesmaximal, characteristic, complemented
19#398×D83C211yesmaximal, characteristic, complemented
20#398×D83C211yesmaximal, characteristic, complemented
21#398×D83C211yesmaximal, characteristic, complemented
22#389×D83C211yesmaximal, characteristic, complemented
23#387×D83C211yesmaximal, characteristic, complemented
24#387×D83C211yesmaximal, characteristic, complemented
25#385×D83C211yesmaximal, characteristic
26#385×D83C211yesmaximal, characteristic
27#385×D83C211yesmaximal, characteristic
28#385×D83C211yesmaximal, characteristic
29#380×D83C211yesmaximal, characteristic
30C4×C22⋊C4×D83C211yesmaximal, characteristic
31C83×#2473C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic
35C2×#14581784C2211yescharacteristic, complemented
36C2×#14581783C2211yescharacteristic, complemented
37C2×#14581783C2211yescharacteristic, complemented
38C2×#14581782C2211yescharacteristic, complemented
39C2×#14581782C2211yescharacteristic, complemented
40C2×#14581782C2211yescharacteristic, complemented
41C2×#14581782C2211yescharacteristic, complemented
42#125×D83—28no—
43C22×C4⋊Dic83C2211yescharacteristic
44C22×Dic83⋊C4C2211yescharacteristic
45C22×Dic83⋊C4C2211yescharacteristic
46C2×C4⋊C4×D83—28no—
47C2×C4⋊C4×D83C2211yescharacteristic
48C2×C4⋊C4×D83C2211yescharacteristic
49C2×C4⋊C4×D83C2211yescharacteristic
50C2×C4⋊C4×D83C2211yescharacteristic
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×C4⋊C4×D83C2211yescharacteristic
61C2×C4⋊C4×D83C2211yescharacteristic
62C2×C4⋊C4×D83C2211yescharacteristic
63C2×C4⋊C4×D83C2211yescharacteristic
64C2×C4⋊C4×D83C2211yescharacteristic
65C2×C22⋊C4×D83C2211yescharacteristic
66C2×C22⋊C4×D83C2211yescharacteristic
67C2×C22⋊C4×D83C2211yescharacteristic
68C2×C22⋊C4×D83C2211yescharacteristic
69C2×C42×D83C2211yescharacteristic
70C2×C42×D83C2211yescharacteristic
71#19127643C2211yescharacteristic, complemented
72#19127643C2211yescharacteristic, complemented
73#19127642C2211yescharacteristic, complemented
74#19127642C2211yescharacteristic, complemented
75#19127641C2211yescharacteristic, complemented
76#19127640C2211yescharacteristic, complemented
77#19127639C2211yescharacteristic, complemented
78#19127635C2211yescharacteristic, complemented
79#19127635C2211yescharacteristic, complemented
80#19127635C2211yescharacteristic, complemented
81#19127635C2211yescharacteristic, complemented
82#19127635C2211yescharacteristic, complemented
83#19127635C2211yescharacteristic, complemented
84#19127634C2211yescharacteristic, complemented
85#19127634C2211yescharacteristic, complemented
86#19127634C2211yescharacteristic, complemented
87#19127634C2211yescharacteristic, complemented
88#19127634C2211yescharacteristic, complemented
89#19127634C2211yescharacteristic, complemented
90#19127633C2211yescharacteristic, complemented
91#19127633C2211yescharacteristic, complemented
92#19127633C2211yescharacteristic, complemented
93#19127632C2211yescharacteristic, complemented
94#19127632C2211yescharacteristic, complemented
95#19127632C2211yescharacteristic, complemented
96#19127631C2211yescharacteristic, complemented
97#19127631C2211yescharacteristic, complemented
98#19127631C2211yescharacteristic, complemented
99#19127600C2211yescharacteristic, complemented
100#19127599C2211yescharacteristic, complemented
101#19127598C2211yescharacteristic, complemented
102#19127598C2211yescharacteristic, complemented
103#19127597C2211yescharacteristic, complemented
104#19127596C2211yescharacteristic, complemented
105#19127596C2211yescharacteristic, complemented
106#19127588C2211yescharacteristic, complemented
107#19127588C2211yescharacteristic, complemented
108#19127587C2211yescharacteristic, complemented
109#19127587C2211yescharacteristic, complemented
110#19127586C2211yescharacteristic, complemented
111#19127586C2211yescharacteristic, complemented
112#19127585C2211yescharacteristic, complemented
113#19127585C2211yescharacteristic, complemented
114#19127584C2211yescharacteristic, complemented
115#19127584C2211yescharacteristic, complemented
116#19127583C2211yescharacteristic, complemented
117#19127583C2211yescharacteristic, complemented
118#19127582C2211yescharacteristic, complemented
119#19127582C2211yescharacteristic, complemented
120#19127576C2211yescharacteristic
121#19127576C2211yescharacteristic
122#19127576C2211yescharacteristic
123#19127576C2211yescharacteristic
124#19127575C2211yescharacteristic
125#19127575C2211yescharacteristic
126#19127575C2211yescharacteristic
127#19127575C2211yescharacteristic
128#19127575C2211yescharacteristic
129#19127575C2211yescharacteristic
130#19127575C2211yescharacteristic
131#19127575C2211yescharacteristic
132#19127574C2211yescharacteristic
133#19127574C2211yescharacteristic
134#19127574C2211yescharacteristic
135#19127574C2211yescharacteristic
136#19127573C2211yescharacteristic
137#19127573C2211yescharacteristic
138#19127573C2211yescharacteristic
139#19127573C2211yescharacteristic
140#19127572C2211yescharacteristic
141#19127572C2211yescharacteristic
142#19127572C2211yescharacteristic
143#19127572C2211yescharacteristic
144#19127572C2211yescharacteristic
145#19127572C2211yescharacteristic
146#19127572C2211yescharacteristic
147#19127572C2211yescharacteristic
148#19127561C2211yescharacteristic
149#19127560C2211yescharacteristic
150#19127560C2211yescharacteristic
151#19127559C2211yescharacteristic
152#19127559C2211yescharacteristic
153#19127558C2211yescharacteristic
154#19127558C2211yescharacteristic
155C22⋊C4×Dic83C2211yescharacteristic
156C22⋊C4×Dic83C2211yescharacteristic
157C4×(C2×D83)⋊C4C2211yescharacteristic
158C4×(C2×D83)⋊C4C2211yescharacteristic
159C4×C22⋊Dic83C2211yescharacteristic
160#19127548C2211yescharacteristic
161#19127548C2211yescharacteristic
162#95×D83C2211yescharacteristic
163#95×D83C2211yescharacteristic
164#95×D83C2211yescharacteristic
165#95×D83C2211yescharacteristic
166#95×D83C2211yescharacteristic
167#95×D83C2211yescharacteristic
168#95×D83C2211yescharacteristic
169#95×D83C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172#95×D83C2211yescharacteristic
173#95×D83C2211yescharacteristic
174C2×#125×C83C2211yescharacteristic, complemented
175C22×C4⋊C4×C83C2211yescharacteristic
176#400×C83C2211yescharacteristic, complemented
177#398×C83C2211yescharacteristic, complemented
178#398×C83C2211yescharacteristic, complemented
179#398×C83C2211yescharacteristic, complemented
180#389×C83C2211yescharacteristic, complemented
181#387×C83C2211yescharacteristic, complemented
182#387×C83C2211yescharacteristic, complemented
183#385×C83C2211yescharacteristic
184#385×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic
186#385×C83C2211yescharacteristic
187#380×C83C2211yescharacteristic
188C4×C22⋊C4×C83C2211yescharacteristic
189C24×D83C2311yescharacteristic
190C23×Dic83C2311yescharacteristic
191C23×Dic83C2311yescharacteristic
192C23×Dic83C2311yescharacteristic
193C22×C4×D83—24no—
194C22×C4×D83—24no—
195C22×C4×D83—24no—
196C22×C4×D83—24no—
197C22×C4×D83—24no—
198C22×C4×D83—24no—
199C22×C4×D83—24no—
200C22×C4×D83—42no—
201C22×C4×D83—42no—
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
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#14581784—24no—
223#14581783—24no—
224#14581783—24no—
225#14581782—24no—
226#14581782—24no—
227#14581782—24no—
228#14581782—24no—
229C2×C4⋊Dic83—24no—
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×C4⋊Dic83C2311yescharacteristic
235C2×C4⋊Dic83C2311yescharacteristic
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×Dic83⋊C4—24no—
245C2×Dic83⋊C4—24no—
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
263C2×Dic83⋊C4C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×Dic83⋊C4C2311yescharacteristic
269C2×Dic83⋊C4C2311yescharacteristic
270C2×Dic83⋊C4C2311yescharacteristic
271C2×Dic83⋊C4C2311yescharacteristic
272C2×Dic83⋊C4C2311yescharacteristic
273C2×Dic83⋊C4C2311yescharacteristic
274C4⋊C4×D83—24no—
275C4⋊C4×D83—24no—
276C4⋊C4×D83—24no—
277C4⋊C4×D83—24no—
278C4⋊C4×D83—24no—
279C4⋊C4×D83—24no—
280C4⋊C4×D83—24no—
281C4⋊C4×D83—24no—
282C4⋊C4×D83—24no—
283C4⋊C4×D83—24no—
284C4⋊C4×D83—24no—
285C4⋊C4×D83—24no—
286C4⋊C4×D83—24no—
287C4⋊C4×D83—24no—
288C4⋊C4×D83—42no—
289C4⋊C4×D83—42no—
290C4⋊C4×D83—42no—
291C4⋊C4×D83D418yes—
292C2×C22⋊Dic83C2311yescharacteristic
293C2×C22⋊Dic83C2311yescharacteristic
294C2×C22⋊Dic83C2311yescharacteristic
295C2×C22⋊Dic83C2311yescharacteristic
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
304C22⋊C4×D83—24no—
305C22⋊C4×D83—24no—
306C22⋊C4×D83—24no—
307C22⋊C4×D83Q818yes—
308C2×C4×Dic83C2311yescharacteristic
309C2×C4×Dic83C2311yescharacteristic
310C2×C4×Dic83C2311yescharacteristic
311C2×C4×Dic83C2311yescharacteristic
312C2×C4×Dic83C2311yescharacteristic
313C2×C4×Dic83C2311yescharacteristic
314C42×D83—24no—
315C42×D83—42no—
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
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
352C23×C4×C83C2311yescharacteristic
353C23×C4×C83C2311yescharacteristic
354C23×C4×C83C2311yescharacteristic
355#125×C83—24no—
356C2×C4⋊C4×C83—24no—
357C2×C4⋊C4×C83C2311yescharacteristic
358C2×C4⋊C4×C83C2311yescharacteristic
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×C4⋊C4×C83C2311yescharacteristic
369C2×C4⋊C4×C83C2311yescharacteristic
370C2×C4⋊C4×C83C2311yescharacteristic
371C2×C22⋊C4×C83C2311yescharacteristic
372C2×C22⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C42×C83C2311yescharacteristic
376C2×C42×C83C2311yescharacteristic
377#95×C83C2311yescharacteristic
378#95×C83C2311yescharacteristic
379#95×C83C2311yescharacteristic
380#95×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
389C23×D83—22no—
390C23×D83—22no—
391C23×D83—22no—
392C23×D83—22no—
393C23×D83C2×Q814yes—
394C23×D83#4114yes—
395C23×D83#4114yes—
396C23×D83C2411yescharacteristic
397C23×D83C2411yescharacteristic
398C22×Dic83—22no—
399C22×Dic83—22no—
400C22×Dic83—22no—
401C22×Dic83—22no—
402C22×Dic83—22no—
403C22×Dic83—22no—
404C22×Dic83—22no—
405C22×Dic83—41no—
406C22×Dic83—41no—
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C2×C4×D83—232no—
422C2×C4×D83—22no—
423C2×C4×D83—22no—
424C2×C4×D83—22no—
425C2×C4×D83—22no—
426C2×C4×D83—22no—
427C2×C4×D83—22no—
428C2×C4×D83—22no—
429C2×C4×D83—22no—
430C2×C4×D83—22no—
431C2×C4×D83—22no—
432C2×C4×D83—22no—
433C2×C4×D83—22no—
434C2×C4×D83—22no—
435C2×C4×D83—22no—
436C2×C4×D83—22no—
437C2×C4×D83—22no—
438C2×C4×D83—22no—
439C2×C4×D83—22no—
440C2×C4×D83—22no—
441C2×C4×D83—22no—
442C2×C4×D83—22no—
443C2×C4×D83—22no—
444C2×C4×D83—22no—
445C2×C4×D83—22no—
446C2×C4×D83—22no—
447C2×C4×D83—22no—
448C2×C4×D83—22no—
449C2×C4×D83—22no—
450C2×C4×D83—22no—
451C2×C4×D83—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—416no—
473C2×C4×D83—416no—
474C2×C4×D83—41no—
475C2×C4×D83—41no—
476C2×C4×D83—41no—
477C2×C4×D83—41no—
478C2×C4×D83C2×D414yes—
479C2×C4×D83C2×D414yes—
480C2×C4×D83C2×D414yes—
481C2×C4×D83C2×Q814yes—
482C2×C4×D83C2×Q814yes—
483C2×C4×D83#4114yes—
484C4⋊Dic83—22no—
485C4⋊Dic83—22no—
486C4⋊Dic83—22no—
487C4⋊Dic83—22no—
488C4⋊Dic83—22no—
489C4⋊Dic83—22no—
490C4⋊Dic83—22no—
491C4⋊Dic83—22no—
492C4⋊Dic83—22no—
493C4⋊Dic83—22no—
494C4⋊Dic83—41no—
495C4⋊Dic83—41no—
496C4⋊Dic83—41no—
497C4⋊Dic83C2×D414yes—
498Dic83⋊C4—22no—
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—22no—
514Dic83⋊C4—22no—
515Dic83⋊C4—22no—
516Dic83⋊C4—22no—
517Dic83⋊C4—22no—
518Dic83⋊C4—41no—
519Dic83⋊C4—41no—
520Dic83⋊C4—41no—
521Dic83⋊C4—41no—
522Dic83⋊C4—41no—
523Dic83⋊C4—41no—
524Dic83⋊C4C2×D414yes—
525Dic83⋊C4C2×D414yes—
526C22⋊Dic83—22no—
527C22⋊Dic83—22no—
528C22⋊Dic83—22no—
529C22⋊Dic83C2×Q814yes—
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)⋊C4C2×Q814yes—
537(C2×D83)⋊C4C2×Q814yes—
538C4×Dic83—22no—
539C4×Dic83—22no—
540C4×Dic83—22no—
541C4×Dic83—41no—
542C4×Dic83—41no—
543C4×Dic83—41no—
544C24×C83C2411yescharacteristic
545C22×C4×C83—22no—
546C22×C4×C83—22no—
547C22×C4×C83—22no—
548C22×C4×C83—22no—
549C22×C4×C83—22no—
550C22×C4×C83—22no—
551C22×C4×C83—22no—
552C22×C4×C83—41no—
553C22×C4×C83—41no—
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22×C4×C83C2411yescharacteristic
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564C22×C4×C83C2411yescharacteristic
565C22×C4×C83C2411yescharacteristic
566C22×C4×C83C2411yescharacteristic
567C22×C4×C83C2411yescharacteristic
568C4⋊C4×C83—22no—
569C4⋊C4×C83—22no—
570C4⋊C4×C83—22no—
571C4⋊C4×C83—22no—
572C4⋊C4×C83—22no—
573C4⋊C4×C83—22no—
574C4⋊C4×C83—22no—
575C4⋊C4×C83—22no—
576C4⋊C4×C83—22no—
577C4⋊C4×C83—22no—
578C4⋊C4×C83—41no—
579C4⋊C4×C83—41no—
580C4⋊C4×C83—41no—
581C4⋊C4×C83C2×D414yes—
582C22⋊C4×C83—22no—
583C22⋊C4×C83—22no—
584C22⋊C4×C83—22no—
585C22⋊C4×C83C2×Q814yes—
586C42×C83—22no—
587C42×C83—41no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83C22×Q812yes—
593C23×C83C2×#4112yes—
594C23×C83C2×#4112yes—
595C23×C83C2511yescharacteristic
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—21no—
599C22×D83—21no—
600C22×D83—28no—
601C22×D83—28no—
602C22×D83—28no—
603C22×D83—28no—
604C22×D83—28no—
605C22×D83—28no—
606C22×D83#125116yescomplemented
607C22×D83C22×D412yes—
608C22×D83C22×Q812yes—
609C22×D83C22×Q812yes—
610C22×D83C2×#4112yes—
611C22×D83C2×#4112yes—
612C22×D83C2×#4112yes—
613C22×D83C2×#4112yes—
614C22×D83C2×#4112yes—
615C22×D83H(5,𝔽2)12yes—
616C22×D832−1+412yes—
617C2×C4×C83—28no—
618C2×C4×C83—21no—
619C2×C4×C83—21no—
620C2×C4×C83—21no—
621C2×C4×C83—21no—
622C2×C4×C83—21no—
623C2×C4×C83—21no—
624C2×C4×C83—21no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—44no—
655C2×C4×C83—44no—
656C2×C4×C83C22×D412yes—
657C2×C4×C83C22×D412yes—
658C2×C4×C83C22×D412yes—
659C2×C4×C83C22×Q812yes—
660C2×C4×C83C22×Q812yes—
661C2×C4×C83C2×#4112yes—
662C2×Dic83—28no—
663C2×Dic83—21no—
664C2×Dic83—21no—
665C2×Dic83—21no—
666C2×Dic83—21no—
667C2×Dic83—21no—
668C2×Dic83—21no—
669C2×Dic83—21no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—44no—
700C2×Dic83—44no—
701C2×Dic83C22×D412yes—
702C2×Dic83C22×D412yes—
703C2×Dic83C22×D412yes—
704C2×Dic83C22×Q812yes—
705C2×Dic83C22×Q812yes—
706C2×Dic83C2×#4112yes—
707C4×D83—28no—
708C4×D83—28no—
709C4×D83—28no—
710C4×D83—28no—
711C4×D83—28no—
712C4×D83—28no—
713C4×D83—28no—
714C4×D83—28no—
715C4×D83—44no—
716C4×D83—44no—
717C4×D83—44no—
718C4×D83—44no—
719C4×D83—44no—
720C4×D83—44no—
721C4×D83—44no—
722C4×D83—44no—
723C4×D83—44no—
724C4×D83—44no—
725C4×D83—44no—
726C4×D83—44no—
727C22×C83—22no—
728C22×C83—22no—
729C22×C83—22no—
730C22×C83—22no—
731C22×C83—22no—
732C22×C83—22no—
733C22×C83C2×#12514yescomplemented
734C22×C83C23×D411yescharacteristic
735C22×C83C23×Q811yescharacteristic
736C22×C83C22×#4111yescharacteristic
737C22×C83C22×#4111yescharacteristic
738C22×C83C22×#4111yescharacteristic
739C22×C83C2×H(5,𝔽2)11yescharacteristic
740C22×C83C2×2−1+411yescharacteristic
741C2×D83—22no—
742C2×D83—22no—
743C2×D83—22no—
744C2×D83—22no—
745C2×D83—22no—
746C2×D83—22no—
747C2×D83—232no—
748C2×D83#52514yes—
749C2×D83C2×#12514yes—
750C2×D83C2×#12514yescomplemented
751C2×D83#53914yes—
752C2×D83#54614yes—
753C2×D83D4×Q814yes—
754C2×D83#55214yes—
755C2×D83#55414yes—
756C4×C83—22no—
757C4×C83—22no—
758C4×C83—22no—
759C4×C83—22no—
760C4×C83—22no—
761C4×C83—22no—
762C4×C83—41no—
763C4×C83—41no—
764C4×C83—41no—
765C4×C83—41no—
766C4×C83—41no—
767C4×C83—41no—
768C4×C83—41no—
769C4×C83—41no—
770Dic83—22no—
771Dic83—22no—
772Dic83—22no—
773Dic83—22no—
774Dic83—22no—
775Dic83—22no—
776Dic83—41no—
777Dic83—41no—
778Dic83—41no—
779Dic83—41no—
780Dic83—41no—
781Dic83—41no—
782Dic83—41no—
783Dic83—41no—
784C2×#2473—831nomaximal, Sylow
785C2×C83—24no—
786C2×C83C2×#52511yescharacteristic
787C2×C83C22×#12511yescharacteristic
788C2×C83C2×#53911yescharacteristic
789C2×C83C2×#54611yescharacteristic
790C2×C83C2×D4×Q811yescharacteristic
791C2×C83C2×#55211yescharacteristic
792C2×C83C2×#55411yescharacteristic
793D83—24no—
794D83#247318yesdirect product factor
795C22×#125—831no—
796C23×C4⋊C4—831no—
797#2473—831no—
798#2473—831no—
799#2473—831no—
800#2473—831no—
801#2473—831no—
802#2473—831no—
803#2473—831no—
804#2473—831no—
805#2473—831no—
806#2473—831no—
807#2473—831no—
808#2473—831no—
809#2473—831no—
810#2473—831no—
811#2473—831no—
812#2473D8311yescharacteristic, direct product factor
813C2×#400—831no—
814C2×#398—831no—
815C2×#398—831no—
816C2×#398—831no—
817C2×#389—831no—
818C2×#387—831no—
819C2×#387—831no—
820C2×#385—831no—
821C2×#385—831no—
822C2×#385—831no—
823C2×#385—831no—
824C2×#380—831no—
825C2×C4×C22⋊C4—831no—
826C83C2×#247311yescharacteristic, complemented, Sylow
827C24×C4—831no—
828C24×C4—831no—
829C24×C4—831no—
830C2×#125—831no—
831C2×#125—831no—
832C2×#125—831no—
833C2×#125—831no—
834C2×#125—831no—
835C2×#125—831no—
836C2×#125—831no—
837C2×#125—1668no—
838C2×#125C2×D8311yescharacteristic, complemented
839C22×C4⋊C4—831no—
840C22×C4⋊C4—831no—
841C22×C4⋊C4—831no—
842C22×C4⋊C4—831no—
843C22×C4⋊C4—831no—
844C22×C4⋊C4—831no—
845C22×C4⋊C4—831no—
846C22×C4⋊C4—831no—
847C22×C4⋊C4—831no—
848C22×C4⋊C4—831no—
849C22×C4⋊C4—831no—
850C22×C4⋊C4—831no—
851C22×C4⋊C4—831no—
852C22×C4⋊C4—831no—
853C22×C4⋊C4—831no—
854C22×C4⋊C4—831no—
855C22×C4⋊C4—831no—
856C22×C4⋊C4—831no—
857C22×C4⋊C4—831no—
858C22×C4⋊C4—831no—
859C22×C4⋊C4—831no—
860C22×C4⋊C4—1668no—
861C22×C4⋊C4C2×D8311yescharacteristic
862C22×C22⋊C4—831no—
863C22×C22⋊C4—831no—
864C22×C22⋊C4—831no—
865C22×C22⋊C4—831no—
866C22×C42—831no—
867C22×C42—831no—
868#400—831no—
869#400—831no—
870#400—831no—
871#400—831no—
872#400—831no—
873#400—831no—
874#400—831no—
875#400C2×D8311yescharacteristic, complemented
876#398—831no—
877#398—831no—
878#398—831no—
879#398—831no—
880#398—831no—
881#398—831no—
882#398—831no—
883#398—831no—
884#398—831no—
885#398—831no—
886#398—831no—
887#398—831no—
888#398—831no—
889#398—831no—
890#398—831no—
891#398—831no—
892#398—831no—
893#398—831no—
894#398—831no—
895#398—831no—
896#398—831no—
897#398C2×D8311yescharacteristic, complemented
898#398C2×D8311yescharacteristic, complemented
899#398C2×D8311yescharacteristic, complemented
900#389—831no—
901#389—831no—
902#389—831no—
903#389—831no—
904#389—831no—
905#389—831no—
906#389—831no—
907#389C2×D8311yescharacteristic, complemented
908#387—831no—
909#387—831no—
910#387—831no—
911#387—831no—
912#387—831no—
913#387—831no—
914#387—831no—
915#387—831no—
916#387—831no—
917#387—831no—
918#387—831no—
919#387—831no—
920#387—831no—
921#387—831no—
922#387C2×D8311yescharacteristic, complemented
923#387C2×D8311yescharacteristic, complemented
924#385—831no—
925#385—831no—
926#385—831no—
927#385—831no—
928#385—831no—
929#385—831no—
930#385—831no—
931#385—831no—
932#385—831no—
933#385—831no—
934#385—831no—
935#385—831no—
936#385—831no—
937#385—831no—
938#385—831no—
939#385—831no—
940#385—831no—
941#385—831no—
942#385—831no—
943#385—831no—
944#385—831no—
945#385—831no—
946#385—831no—
947#385—831no—
948#385—831no—
949#385—831no—
950#385—831no—
951#385—831no—
952#385C2×D8311yescharacteristic
953#385C2×D8311yescharacteristic
954#385C2×D8311yescharacteristic
955#385C2×D8311yescharacteristic
956#380—831no—
957#380—831no—
958#380—831no—
959#380—831no—
960#380—831no—
961#380—831no—
962#380—831no—
963#380C2×D8311yescharacteristic
964C4×C22⋊C4—831no—
965C4×C22⋊C4—831no—
966C4×C22⋊C4—831no—
967C4×C22⋊C4—831no—
968C4×C22⋊C4—831no—
969C4×C22⋊C4—831no—
970C4×C22⋊C4—831no—
971C4×C22⋊C4C2×D8311yescharacteristic
972C2×#95—831no—
973C2×#95—831no—
974C2×#95—831no—
975C2×#95—831no—
976C2×#95—831no—
977C2×#95—831no—
978C2×#95—831no—
979C2×#95—831no—
980C2×#95—831no—
981C2×#95—831no—
982C2×#95—831no—
983C2×#95—831no—
984C25—831no—
985C23×C4—3322no—
986C23×C4—3322no—
987C23×C4—831no—
988C23×C4—831no—
989C23×C4—831no—
990C23×C4—831no—
991C23×C4—831no—
992C23×C4—831no—
993C23×C4—831no—
994C23×C4—831no—
995C23×C4—831no—
996C23×C4—831no—
997C23×C4—831no—
998C23×C4—831no—
999C23×C4—831no—
1000C23×C4—831no—
1001C23×C4—831no—
1002C23×C4—831no—
1003C23×C4—831no—
1004C23×C4—831no—
1005C23×C4—831no—
1006C23×C4—831no—
1007C23×C4—831no—
1008C23×C4—831no—
1009C23×C4—831no—
1010C23×C4—1664no—
1011C23×C4—1664no—
1012C23×C4—1664no—
1013C23×C4—1664no—
1014C23×C4—1664no—
1015C23×C4—1664no—
1016C23×C4—1664no—
1017C23×C4C22×D8311yescharacteristic
1018C23×C4C22×D8311yescharacteristic
1019C23×C4C22×D8311yescharacteristic
1020#125—24no—
1021#125—1664no—
1022#125—1664no—
1023#125—1664no—
1024#125—1664no—
1025#125—1664no—
1026#125—1664no—
1027#125—1664no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—3322no—
1030C2×C4⋊C4—3322no—
1031C2×C4⋊C4—3322no—
1032C2×C4⋊C4—831no—
1033C2×C4⋊C4—831no—
1034C2×C4⋊C4—831no—
1035C2×C4⋊C4—831no—
1036C2×C4⋊C4—831no—
1037C2×C4⋊C4—831no—
1038C2×C4⋊C4—831no—
1039C2×C4⋊C4—831no—
1040C2×C4⋊C4—831no—
1041C2×C4⋊C4—831no—
1042C2×C4⋊C4—831no—
1043C2×C4⋊C4—831no—
1044C2×C4⋊C4—838no—
1045C2×C4⋊C4—831no—
1046C2×C4⋊C4—831no—
1047C2×C4⋊C4—831no—
1048C2×C4⋊C4—831no—
1049C2×C4⋊C4—831no—
1050C2×C4⋊C4—831no—
1051C2×C4⋊C4—831no—
1052C2×C4⋊C4—831no—
1053C2×C4⋊C4—831no—
1054C2×C4⋊C4—831no—
1055C2×C4⋊C4—831no—
1056C2×C4⋊C4—831no—
1057C2×C4⋊C4—831no—
1058C2×C4⋊C4—831no—
1059C2×C4⋊C4—831no—
1060C2×C4⋊C4—831no—
1061C2×C4⋊C4—831no—
1062C2×C4⋊C4—831no—
1063C2×C4⋊C4—831no—
1064C2×C4⋊C4—831no—
1065C2×C4⋊C4—831no—
1066C2×C4⋊C4—831no—
1067C2×C4⋊C4—831no—
1068C2×C4⋊C4—831no—
1069C2×C4⋊C4—831no—
1070C2×C4⋊C4—831no—
1071C2×C4⋊C4—831no—
1072C2×C4⋊C4—831no—
1073C2×C4⋊C4—831no—
1074C2×C4⋊C4—831no—
1075C2×C4⋊C4—1664no—
1076C2×C4⋊C4—1664no—
1077C2×C4⋊C4—1664no—
1078C2×C4⋊C4—1664no—
1079C2×C4⋊C4—1664no—
1080C2×C4⋊C4—1664no—
1081C2×C4⋊C4—1664no—
1082C2×C4⋊C4—1664no—
1083C2×C4⋊C4—1664no—
1084C2×C4⋊C4—1664no—
1085C2×C4⋊C4—1664no—
1086C2×C4⋊C4—1664no—
1087C2×C4⋊C4—1664no—
1088C2×C4⋊C4—1664no—
1089C2×C4⋊C4—1664no—
1090C2×C4⋊C4—1664no—
1091C2×C4⋊C4—1664no—
1092C2×C4⋊C4C22×D8311yescharacteristic
1093C2×C4⋊C4C22×D8311yescharacteristic
1094C2×C4⋊C4C22×D8311yescharacteristic
1095C2×C4⋊C4C22×D8311yescharacteristic
1096C2×C4⋊C4C22×D8311yescharacteristic
1097C2×C4⋊C4C22×D8311yescharacteristic
1098C2×C4⋊C4C22×D8311yescharacteristic
1099C2×C4⋊C4C22×D8311yescharacteristic
1100C2×C4⋊C4C22×D8311yescharacteristic
1101C2×C4⋊C4C22×D8311yescharacteristic
1102C2×C4⋊C4C22×D8311yescharacteristic
1103C2×C4⋊C4C22×D8311yescharacteristic
1104C2×C4⋊C4C22×D8311yescharacteristic
1105C2×C4⋊C4C22×D8311yescharacteristic
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—838no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—1664no—
1120C2×C22⋊C4—1664no—
1121C2×C22⋊C4—1664no—
1122C2×C22⋊C4C22×D8311yescharacteristic
1123C2×C22⋊C4C22×D8311yescharacteristic
1124C2×C22⋊C4C22×D8311yescharacteristic
1125C2×C22⋊C4C22×D8311yescharacteristic
1126C2×C42—3322no—
1127C2×C42—831no—
1128C2×C42—831no—
1129C2×C42—831no—
1130C2×C42—831no—
1131C2×C42—831no—
1132C2×C42—831no—
1133C2×C42—1664no—
1134C2×C42C22×D8311yescharacteristic
1135C2×C42C22×D8311yescharacteristic
1136#95—831no—
1137#95—831no—
1138#95—831no—
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95—831no—
1150#95—831no—
1151#95—831no—
1152#95—831no—
1153#95—831no—
1154#95—831no—
1155#95—831no—
1156#95—831no—
1157#95—831no—
1158#95—831no—
1159#95—831no—
1160#95—831no—
1161#95—831no—
1162#95—831no—
1163#95—831no—
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95C22×D8311yescharacteristic
1173#95C22×D8311yescharacteristic
1174#95C22×D8311yescharacteristic
1175#95C22×D8311yescharacteristic
1176#95C22×D8311yescharacteristic
1177#95C22×D8311yescharacteristic
1178#95C22×D8311yescharacteristic
1179#95C22×D8311yescharacteristic
1180#95C22×D8311yescharacteristic
1181#95C22×D8311yescharacteristic
1182#95C22×D8311yescharacteristic
1183#95C22×D8311yescharacteristic
1184C24—831no—
1185C24—834no—
1186C24—834no—
1187C24—834no—
1188C24—831no—
1189C24—1662no—
1190C24—1662no—
1191C24—1662no—
1192C24—1662no—
1193C24C23×D8311yescharacteristic
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—3321no—
1204C22×C4—3321no—
1205C22×C4—3321no—
1206C22×C4—3321no—
1207C22×C4—33216no—
1208C22×C4—33216no—
1209C22×C4—3321no—
1210C22×C4—3321no—
1211C22×C4—831no—
1212C22×C4—831no—
1213C22×C4—831no—
1214C22×C4—831no—
1215C22×C4—831no—
1216C22×C4—831no—
1217C22×C4—834no—
1218C22×C4—834no—
1219C22×C4—834no—
1220C22×C4—834no—
1221C22×C4—834no—
1222C22×C4—834no—
1223C22×C4—831no—
1224C22×C4—831no—
1225C22×C4—831no—
1226C22×C4—831no—
1227C22×C4—831no—
1228C22×C4—831no—
1229C22×C4—831no—
1230C22×C4—831no—
1231C22×C4—1662no—
1232C22×C4—1662no—
1233C22×C4—1662no—
1234C22×C4—1662no—
1235C22×C4—1662no—
1236C22×C4—1662no—
1237C22×C4—1662no—
1238C22×C4—1662no—
1239C22×C4—1662no—
1240C22×C4—1662no—
1241C22×C4—1662no—
1242C22×C4—1662no—
1243C22×C4—1662no—
1244C22×C4—1662no—
1245C22×C4—1662no—
1246C22×C4—1662no—
1247C22×C4—1662no—
1248C22×C4—1662no—
1249C22×C4—1662no—
1250C22×C4—1662no—
1251C22×C4—1662no—
1252C22×C4—1662no—
1253C22×C4—1662no—
1254C22×C4—1662no—
1255C22×C4—1662no—
1256C22×C4—1662no—
1257C22×C4—1662no—
1258C22×C4—1662no—
1259C22×C4—1662no—
1260C22×C4—1662no—
1261C22×C4—1662no—
1262C22×C4—1662no—
1263C22×C4—1662no—
1264C22×C4—1662no—
1265C22×C4—1662no—
1266C22×C4—1662no—
1267C22×C4—1662no—
1268C22×C4—1662no—
1269C22×C4—1662no—
1270C22×C4—1662no—
1271C22×C4—1662no—
1272C22×C4—1662no—
1273C22×C4—1662no—
1274C22×C4—1662no—
1275C22×C4—1662no—
1276C22×C4—1662no—
1277C22×C4—16632no—
1278C22×C4—1662no—
1279C22×C4—1662no—
1280C22×C4—1662no—
1281C22×C4—1662no—
1282C22×C4—1662no—
1283C22×C4—1662no—
1284C22×C4—1662no—
1285C22×C4—1662no—
1286C22×C4—1662no—
1287C22×C4—1662no—
1288C22×C4—1662no—
1289C22×C4C23×D8311yescharacteristic
1290C22×C4C23×D8311yescharacteristic
1291C22×C4C23×D8311yescharacteristic
1292C22×C4C23×D8311yescharacteristic
1293C22×C4C23×D8311yescharacteristic
1294C22×C4C23×D8311yescharacteristic
1295C22×C4C23×D8311yescharacteristic
1296C22×C4C23×D8311yescharacteristic
1297C22×C4C23×D8311yescharacteristic
1298C22×C4C23×D8311yescharacteristic
1299C22×C4C23×D8311yescharacteristic
1300C22×C4C23×D8311yescharacteristic
1301C22×C4C23×D8311yescharacteristic
1302C22×C4C23×D8311yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—3321no—
1317C4⋊C4—3321no—
1318C4⋊C4—3321no—
1319C4⋊C4—3321no—
1320C4⋊C4—3321no—
1321C4⋊C4—3321no—
1322C4⋊C4—3321no—
1323C4⋊C4—3321no—
1324C4⋊C4—3321no—
1325C4⋊C4—834no—
1326C4⋊C4—834no—
1327C4⋊C4—834no—
1328C4⋊C4—1662no—
1329C4⋊C4—1662no—
1330C4⋊C4—1662no—
1331C4⋊C4—1662no—
1332C4⋊C4—1662no—
1333C4⋊C4—1662no—
1334C4⋊C4—1662no—
1335C4⋊C4—1662no—
1336C4⋊C4—1662no—
1337C4⋊C4—1662no—
1338C4⋊C4—1662no—
1339C4⋊C4—1662no—
1340C4⋊C4—1662no—
1341C4⋊C4—1662no—
1342C4⋊C4—1662no—
1343C4⋊C4—1662no—
1344C4⋊C4—1662no—
1345C4⋊C4—1662no—
1346C4⋊C4—1662no—
1347C4⋊C4—1662no—
1348C4⋊C4—1662no—
1349C4⋊C4—1662no—
1350C4⋊C4—1662no—
1351C4⋊C4—1662no—
1352C4⋊C4—1662no—
1353C4⋊C4—1662no—
1354C4⋊C4—1662no—
1355C4⋊C4—1662no—
1356C4⋊C4—1662no—
1357C4⋊C4—1662no—
1358C4⋊C4D4×D8314yes—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—834no—
1363C22⋊C4—834no—
1364C22⋊C4—834no—
1365C22⋊C4—1662no—
1366C22⋊C4—1662no—
1367C22⋊C4—1662no—
1368C22⋊C4—1662no—
1369C22⋊C4—1662no—
1370C22⋊C4—1662no—
1371C22⋊C4—1662no—
1372C22⋊C4—1662no—
1373C22⋊C4—1662no—
1374C22⋊C4Q8×D8314yes—
1375C42—22no—
1376C42—41no—
1377C42—3321no—
1378C42—3321no—
1379C42—3321no—
1380C42—1662no—
1381C42—1662no—
1382C42—1662no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—832no—
1388C23—832no—
1389C23—832no—
1390C23—832no—
1391C23—832no—
1392C23—832no—
1393C23—832no—
1394C23—8316no—
1395C23—832no—
1396C23—832no—
1397C23—832no—
1398C23—1668no—
1399C23—1668no—
1400C23—1668no—
1401C23—1668no—
1402C23—1668no—
1403C23—1668no—
1404C23—1661no—
1405C23—1661no—
1406C23—1661no—
1407C23—1661no—
1408C23C2×Q8×D8312yes—
1409C23#41×D8312yes—
1410C23#41×D8312yes—
1411C23C24×D8311yescharacteristic
1412C2×C4—28no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—3324no—
1452C2×C4—3324no—
1453C2×C4—3324no—
1454C2×C4—3324no—
1455C2×C4—3324no—
1456C2×C4—3324no—
1457C2×C4—3324no—
1458C2×C4—3324no—
1459C2×C4—3324no—
1460C2×C4—3324no—
1461C2×C4—3324no—
1462C2×C4—3324no—
1463C2×C4—3324no—
1464C2×C4—3324no—
1465C2×C4—832no—
1466C2×C4—832no—
1467C2×C4—832no—
1468C2×C4—832no—
1469C2×C4—832no—
1470C2×C4—832no—
1471C2×C4—1668no—
1472C2×C4—1668no—
1473C2×C4—1668no—
1474C2×C4—1668no—
1475C2×C4—1668no—
1476C2×C4—1668no—
1477C2×C4—1668no—
1478C2×C4—1668no—
1479C2×C4—1661no—
1480C2×C4—1661no—
1481C2×C4—1661no—
1482C2×C4—1661no—
1483C2×C4—1661no—
1484C2×C4—1661no—
1485C2×C4—1661no—
1486C2×C4—1661no—
1487C2×C4—1661no—
1488C2×C4—1661no—
1489C2×C4—1661no—
1490C2×C4—1661no—
1491C2×C4—1661no—
1492C2×C4—1661no—
1493C2×C4—1661no—
1494C2×C4—1661no—
1495C2×C4—1661no—
1496C2×C4—1661no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4—1661no—
1500C2×C4—1661no—
1501C2×C4—1661no—
1502C2×C4—1661no—
1503C2×C4—1668no—
1504C2×C4—1661no—
1505C2×C4—1661no—
1506C2×C4—1661no—
1507C2×C4—1661no—
1508C2×C4—1661no—
1509C2×C4—1661no—
1510C2×C4—1661no—
1511C2×C4—1661no—
1512C2×C4—1661no—
1513C2×C4—1661no—
1514C2×C4—1661no—
1515C2×C4—1661no—
1516C2×C4C2×D4×D8312yes—
1517C2×C4C2×D4×D8312yes—
1518C2×C4C2×D4×D8312yes—
1519C2×C4C2×Q8×D8312yes—
1520C2×C4C2×Q8×D8312yes—
1521C2×C4#41×D8312yes—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—834no—
1529C22—834no—
1530C22—834no—
1531C22—834no—
1532C22—834no—
1533C22—834no—
1534C22—834no—
1535C22—834no—
1536C22—16632no—
1537C22—1662no—
1538C22—1662no—
1539C22—1662no—
1540C22—1662no—
1541C22—1662no—
1542C22—1662no—
1543C22#125×D8314yescomplemented
1544C22C22×D4×D8311yescharacteristic
1545C22C22×Q8×D8311yescharacteristic
1546C22C2×#41×D8311yescharacteristic
1547C22C2×#41×D8311yescharacteristic
1548C22C2×#41×D8311yescharacteristic
1549C22H(5,𝔽2)×D8311yescharacteristic
1550C222−1+4×D8311yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—22no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—3321no—
1566C4—3321no—
1567C4—3321no—
1568C4—3321no—
1569C4—3321no—
1570C4—3321no—
1571C4—3321no—
1572C4—3321no—
1573C4—1662no—
1574C4—1662no—
1575C4—1662no—
1576C4—1662no—
1577C4—1662no—
1578C4—1662no—
1579C2—24no—
1580C2—838no—
1581C2—1664no—
1582C2#525×D8311yescharacteristic
1583C2C2×#125×D8311yescharacteristic
1584C2#539×D8311yescharacteristic
1585C2#546×D8311yescharacteristic
1586C2D4×Q8×D8311yescharacteristic
1587C2#552×D8311yescharacteristic
1588C2#554×D8311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2473C2
prime radicalC24×D83C23
hypercenter#2473D83
hypocenterC83C2×#2473
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×#125×D83C2semidirect
3. #24911611C2semidirect
4. #24911610C2semidirect
5. #24911609C2semidirect
6. #24911608C2semidirect
7. #24911607C2semidirect
8. #24911606C2semidirect
9. #24911605C2semidirect
10. #24911604C2semidirect
11. #24911603C2semidirect
12. #24911602C2semidirect
13. #24911601C2semidirect
14. #24911600C2semidirect
15. #24911599C2semidirect
16. #24911598C2semidirect
17. #24911597C2semidirect
18. #400×D83C2semidirect
19. #398×D83C2semidirect
20. #398×D83C2semidirect
21. #398×D83C2semidirect
22. #389×D83C2semidirect
23. #387×D83C2semidirect
24. #387×D83C2semidirect
31. C83×#2473C2semidirect
35. C2×#14581784C22semidirect
36. C2×#14581783C22semidirect
37. C2×#14581783C22semidirect
38. C2×#14581782C22semidirect
39. C2×#14581782C22semidirect
40. C2×#14581782C22semidirect
41. C2×#14581782C22semidirect
71. #19127643C22semidirect
72. #19127643C22semidirect
73. #19127642C22semidirect
74. #19127642C22semidirect
75. #19127641C22semidirect
76. #19127640C22semidirect
77. #19127639C22semidirect
78. #19127635C22semidirect
79. #19127635C22semidirect
80. #19127635C22semidirect
81. #19127635C22semidirect
82. #19127635C22semidirect
83. #19127635C22semidirect
84. #19127634C22semidirect
85. #19127634C22semidirect
86. #19127634C22semidirect
87. #19127634C22semidirect
88. #19127634C22semidirect
89. #19127634C22semidirect
90. #19127633C22semidirect
91. #19127633C22semidirect
92. #19127633C22semidirect
93. #19127632C22semidirect
94. #19127632C22semidirect
95. #19127632C22semidirect
96. #19127631C22semidirect
97. #19127631C22semidirect
98. #19127631C22semidirect
99. #19127600C22semidirect
100. #19127599C22semidirect
101. #19127598C22semidirect
102. #19127598C22semidirect
103. #19127597C22semidirect
104. #19127596C22semidirect
105. #19127596C22semidirect
106. #19127588C22semidirect
107. #19127588C22semidirect
108. #19127587C22semidirect
109. #19127587C22semidirect
110. #19127586C22semidirect
111. #19127586C22semidirect
112. #19127585C22semidirect
113. #19127585C22semidirect
114. #19127584C22semidirect
115. #19127584C22semidirect
116. #19127583C22semidirect
117. #19127583C22semidirect
118. #19127582C22semidirect
119. #19127582C22semidirect
174. C2×#125×C83C22semidirect
176. #400×C83C22semidirect
177. #398×C83C22semidirect
178. #398×C83C22semidirect
179. #398×C83C22semidirect
180. #389×C83C22semidirect
181. #387×C83C22semidirect
182. #387×C83C22semidirect
606. C22×D83#125semidirect
733. C22×C83C2×#125semidirect
750. C2×D83C2×#125semidirect
794. D83#2473direct (N × H)
812. #2473D83direct (N × H)
826. C83C2×#2473semidirect
838. C2×#125C2×D83semidirect
875. #400C2×D83semidirect
897. #398C2×D83semidirect
898. #398C2×D83semidirect
899. #398C2×D83semidirect
907. #389C2×D83semidirect
922. #387C2×D83semidirect
923. #387C2×D83semidirect
1543. C22#125×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#125×D832
C22×C4⋊C4×D832
#249116112
#249116102
#249116092
#249116082
#249116072
#249116062
#249116052
#249116042
#249116032
#249116022
#249116012
#249116002
#249115992
#249115982
#249115972
#400×D832
#398×D832
#389×D832
#387×D832
#385×D832
#380×D832
C4×C22⋊C4×D832
C83×#24732
C2×#247383