Finite Group Databasebeta

← #35610843

Subgroups — #35610843

Order 21248.

2006 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915726C211yesmaximal, characteristic, complemented
2#24915645C211yesmaximal, characteristic, complemented
3#24915570C211yesmaximal, characteristic, complemented
4#24915569C211yesmaximal, characteristic, complemented
5#24915566C211yesmaximal, characteristic, complemented
6#24915565C211yesmaximal, characteristic, complemented
7#24915564C211yesmaximal, characteristic, complemented
8#24915560C211yesmaximal, characteristic, complemented
9#24915557C211yesmaximal, characteristic, complemented
10#24915555C211yesmaximal, characteristic, complemented
11#24915553C211yesmaximal, characteristic, complemented
12#24915549C211yesmaximal, characteristic, complemented
13#24915461C211yesmaximal, characteristic, complemented
14#24915459C211yesmaximal, characteristic, complemented
15#24915459C211yesmaximal, characteristic, complemented
16#24910762C211yesmaximal, characteristic, complemented
17#24910760C211yesmaximal, characteristic, complemented
18#24910743C211yesmaximal, characteristic, complemented
19#24910729C211yesmaximal, characteristic, complemented
20#24910727C211yesmaximal, characteristic, complemented
21#24910721C211yesmaximal, characteristic, complemented
22#24910708C211yesmaximal, characteristic, complemented
23#24910708C211yesmaximal, characteristic, complemented
24#24910706C211yesmaximal, characteristic, complemented
25#24910704C211yesmaximal, characteristic, complemented
26#24910702C211yesmaximal, characteristic, complemented
27#24910700C211yesmaximal, characteristic, complemented
28#24909968C211yesmaximal, characteristic, complemented
29#24909964C211yesmaximal, characteristic, complemented
30#24909964C211yesmaximal, characteristic, complemented
31C83×#2827C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33C2×#14581762C2211yescharacteristic
34C2×#14581762C2211yescharacteristic
35C2×#14581760C2211yescharacteristic
36C2×D4×Dic83C2211yescharacteristic
37C2×#14581754C2211yescharacteristic
38C2×#14581754C2211yescharacteristic
39C2×#14581754C2211yescharacteristic
40C2×#14581754C2211yescharacteristic
41C2×#14581754C2211yescharacteristic, complemented
42C2×(C22⋊D83)⋊C4C2211yescharacteristic
43C2×(C22⋊D83)⋊C4C2211yescharacteristic
44C2×(C22⋊D83)⋊C4C2211yescharacteristic
45C2×(C22⋊D83)⋊C4C2211yescharacteristic
46C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
47C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
48C2×#14581750C2211yescharacteristic, complemented
49C2×#14581750C2211yescharacteristic, complemented
50C2×#14581748C2211yescharacteristic, complemented
51C83⋊#401C2211yescharacteristic, complemented
52C83⋊#401C2211yescharacteristic, complemented
53#19127643C2211yescharacteristic, complemented
54#19127643C2211yescharacteristic, complemented
55#19127642C2211yescharacteristic, complemented
56#19127642C2211yescharacteristic, complemented
57#19127641C2211yescharacteristic, complemented
58#19127640C2211yescharacteristic, complemented
59#19127639C2211yescharacteristic, complemented
60#19127638C2211yescharacteristic
61#19127636C2211yescharacteristic
62#19127636C2211yescharacteristic
63#19127636C2211yescharacteristic
64#19127636C2211yescharacteristic, complemented
65#19127636C2211yescharacteristic, complemented
66#19127635C2211yescharacteristic, complemented
67#19127635C2211yescharacteristic, complemented
68#19127634C2211yescharacteristic, complemented
69#19127634C2211yescharacteristic, complemented
70#19127632C2211yescharacteristic, complemented
71#19127631C2211yescharacteristic, complemented
72#19127631C2211yescharacteristic, complemented
73#19127630C2211yescharacteristic
74#19127630C2211yescharacteristic
75#19127630C2211yescharacteristic, complemented
76#19127630C2211yescharacteristic, complemented
77#19127630C2211yescharacteristic, complemented
78#19127630C2211yescharacteristic, complemented
79#19127629C2211yescharacteristic
80#19127629C2211yescharacteristic
81#19127629C2211yescharacteristic, complemented
82#19127629C2211yescharacteristic, complemented
83#19127628C2211yescharacteristic
84#19127628C2211yescharacteristic
85#19127628C2211yescharacteristic, complemented
86#19127628C2211yescharacteristic, complemented
87#19127628C2211yescharacteristic, complemented
88#19127627C2211yescharacteristic
89#19127627C2211yescharacteristic
90#19127627C2211yescharacteristic, complemented
91#19127625C2211yescharacteristic
92#19127625C2211yescharacteristic, complemented
93#19127624C2211yescharacteristic
94#19127624C2211yescharacteristic
95#19127624C2211yescharacteristic
96#19127624C2211yescharacteristic, complemented
97#19127623C2211yescharacteristic
98#19127623C2211yescharacteristic
99#19127623C2211yescharacteristic
100#19127623C2211yescharacteristic, complemented
101#19127623C2211yescharacteristic, complemented
102#19127623C2211yescharacteristic, complemented
103#19127619C2211yescharacteristic
104#19127619C2211yescharacteristic
105#19127619C2211yescharacteristic
106#19127619C2211yescharacteristic
107#19127619C2211yescharacteristic, complemented
108#19127618C2211yescharacteristic
109#19127618C2211yescharacteristic
110#19127618C2211yescharacteristic
111#19127618C2211yescharacteristic
112#19127618C2211yescharacteristic, complemented
113#19127617C2211yescharacteristic
114#19127617C2211yescharacteristic
115#19127617C2211yescharacteristic
116#19127617C2211yescharacteristic
117#19127617C2211yescharacteristic, complemented
118#19127617C2211yescharacteristic, complemented
119#19127616C2211yescharacteristic
120#19127616C2211yescharacteristic
121#19127616C2211yescharacteristic
122#19127616C2211yescharacteristic
123#19127616C2211yescharacteristic, complemented
124#19127616C2211yescharacteristic, complemented
125#19127611C2211yescharacteristic
126#19127611C2211yescharacteristic
127#19127610C2211yescharacteristic
128#19127610C2211yescharacteristic
129#19127610C2211yescharacteristic
130#19127610C2211yescharacteristic
131#19127610C2211yescharacteristic
132#19127610C2211yescharacteristic, complemented
133#19127609C2211yescharacteristic
134#19127609C2211yescharacteristic
135#19127580C2211yescharacteristic
136#19127580C2211yescharacteristic
137#19127579C2211yescharacteristic
138#19127579C2211yescharacteristic
139#19127579C2211yescharacteristic
140#19127579C2211yescharacteristic
141#19127577C2211yescharacteristic
142#19127577C2211yescharacteristic
143#19127575C2211yescharacteristic
144#19127575C2211yescharacteristic
145#19127574C2211yescharacteristic
146#19127572C2211yescharacteristic
147#19127572C2211yescharacteristic
148#19127572C2211yescharacteristic
149#19127572C2211yescharacteristic
150#19127556C2211yescharacteristic
151#19127556C2211yescharacteristic
152#19127556C2211yescharacteristic
153C4⋊C4×Dic83C2211yescharacteristic, complemented
154C4⋊C4×Dic83C2211yescharacteristic, complemented
155C4⋊C4×Dic83C2211yescharacteristic, complemented
156#19127552C2211yescharacteristic, complemented
157#19127552C2211yescharacteristic, complemented
158#19127552C2211yescharacteristic, complemented
159C22⋊C4×Dic83C2211yescharacteristic
160C22⋊C4×Dic83C2211yescharacteristic
161C22⋊C4×Dic83C2211yescharacteristic
162C22⋊C4×Dic83C2211yescharacteristic, complemented
163#19127548C2211yescharacteristic
164#19127548C2211yescharacteristic
165#19127548C2211yescharacteristic
166#19127548C2211yescharacteristic
167#19127548C2211yescharacteristic
168#19127548C2211yescharacteristic
169#19127548C2211yescharacteristic, complemented
170#19127548C2211yescharacteristic, complemented
171#19127546C2211yescharacteristic, complemented
172#400×C83C2211yescharacteristic, complemented
173#400×C83C2211yescharacteristic, complemented
174#399×C83C2211yescharacteristic, complemented
175#398×C83C2211yescharacteristic, complemented
176#398×C83C2211yescharacteristic, complemented
177#397×C83C2211yescharacteristic
178#397×C83C2211yescharacteristic, complemented
179#397×C83C2211yescharacteristic, complemented
180#396×C83C2211yescharacteristic
181#396×C83C2211yescharacteristic, complemented
182#394×C83C2211yescharacteristic
183#394×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic
186#385×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C22×D332C2311yescharacteristic
189C22×D332C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C23×Dic83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C22×C4×D83—42no—
202C22×C4×D83—42no—
203C22×C4×D83—42no—
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210#14581762—24no—
211#14581762—24no—
212#14581760—24no—
213D4×Dic83—42no—
214#14581754—42no—
215#14581754—42no—
216#14581754—42no—
217#14581754—42no—
218#14581754—42no—
219(C22⋊D83)⋊C4—42no—
220(C22⋊D83)⋊C4—42no—
221(C22⋊D83)⋊C4—42no—
222(C22⋊D83)⋊C4—42no—
223(C22⋊D83)⋊C4—42no—
224(C22⋊D83)⋊C4—42no—
225#14581750—42no—
226#14581750—42no—
227#14581748—42no—
228C2×C4⋊Dic83C2311yescharacteristic
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×(C2×D83)⋊C4C2311yescharacteristic
256C2×(C2×D83)⋊C4C2311yescharacteristic
257C2×(C2×D83)⋊C4C2311yescharacteristic
258C2×(C2×D83)⋊C4C2311yescharacteristic
259C2×(C2×D83)⋊C4C2311yescharacteristic
260C2×(C2×D83)⋊C4C2311yescharacteristic
261C2×(C2×D83)⋊C4C2311yescharacteristic
262C2×(C2×D83)⋊C4C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
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×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C22×D4×C83C2311yescharacteristic
329C23×C4×C83C2311yescharacteristic
330C2×C4⋊C4×C83C2311yescharacteristic
331C2×C4⋊C4×C83C2311yescharacteristic
332C2×C4⋊C4×C83C2311yescharacteristic
333C2×C4⋊C4×C83C2311yescharacteristic
334C2×C4⋊C4×C83C2311yescharacteristic
335C2×C4⋊C4×C83C2311yescharacteristic
336C2×C4⋊C4×C83C2311yescharacteristic
337C2×C4⋊C4×C83C2311yescharacteristic
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C4⋊C4×C83C2311yescharacteristic
340C2×C22⋊C4×C83C2311yescharacteristic
341C2×C22⋊C4×C83C2311yescharacteristic
342C2×C22⋊C4×C83C2311yescharacteristic
343C2×C22⋊C4×C83C2311yescharacteristic
344C2×C22⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351#95×C83C2311yescharacteristic
352#95×C83C2311yescharacteristic
353#95×C83C2311yescharacteristic
354#95×C83C2311yescharacteristic
355#95×C83C2311yescharacteristic
356#95×C83C2311yescharacteristic
357#95×C83C2311yescharacteristic
358#95×C83C2311yescharacteristic
359#95×C83C2311yescharacteristic
360#95×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363C23×D83—41no—
364C23×D83—41no—
365C23×D83—41no—
366C23×D83—41no—
367C23×D83—41no—
368C23×D83—41no—
369C23×D83#4114yes—
370C23×D83C2411yescharacteristic
371C23×D83C2411yescharacteristic
372C23×D83C2411yescharacteristic
373C23×D83C2411yescharacteristic
374C2×D332—22no—
375C2×D332—22no—
376C2×D332—22no—
377C2×D332—22no—
378C2×D332—41no—
379C2×D332—41no—
380C2×D332—41no—
381C2×D332—41no—
382C2×D332—41no—
383C2×D332—41no—
384C2×D332—41no—
385C2×D332—41no—
386C2×D332—41no—
387C2×D332—41no—
388C2×D332—41no—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—22no—
391C2×C22⋊D83—22no—
392C2×C22⋊D83—22no—
393C2×C22⋊D83—41no—
394C2×C22⋊D83—41no—
395C2×C22⋊D83—41no—
396C2×C22⋊D83—41no—
397C2×C22⋊D83—41no—
398C2×C22⋊D83—41no—
399C2×C22⋊D83—41no—
400C2×C22⋊D83—41no—
401C2×C22⋊D83—41no—
402C2×C22⋊D83—41no—
403C2×C22⋊D83—41no—
404C2×C22⋊D83—41no—
405C2×C22⋊D83—41no—
406C2×C22⋊D83—41no—
407C22×Dic83—22no—
408C22×Dic83—22no—
409C22×Dic83—22no—
410C22×Dic83—22no—
411C22×Dic83—22no—
412C22×Dic83—22no—
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
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—41no—
438C2×C4×D83—41no—
439C2×C4×D83—41no—
440C2×C4×D83—41no—
441C2×C4×D83—41no—
442C2×C4×D83—41no—
443C2×C4×D83—416no—
444C4⋊Dic83—41no—
445C4⋊Dic83—41no—
446C4⋊Dic83—41no—
447C4⋊Dic83—41no—
448C4⋊Dic83—41no—
449C4⋊Dic83—41no—
450Dic83⋊C4—41no—
451Dic83⋊C4—41no—
452Dic83⋊C4—41no—
453Dic83⋊C4—41no—
454Dic83⋊C4—41no—
455Dic83⋊C4—41no—
456Dic83⋊C4—41no—
457Dic83⋊C4—41no—
458Dic83⋊C4—41no—
459Dic83⋊C4—41no—
460Dic83⋊C4—41no—
461Dic83⋊C4—41no—
462Dic83⋊C4—41no—
463Dic83⋊C4—41no—
464C22⋊Dic83—22no—
465C22⋊Dic83—41no—
466C22⋊Dic83—41no—
467C22⋊Dic83—41no—
468C22⋊Dic83—41no—
469C22⋊Dic83—41no—
470C22⋊Dic83—41no—
471(C2×D83)⋊C4—22no—
472(C2×D83)⋊C4—22no—
473(C2×D83)⋊C4—22no—
474(C2×D83)⋊C4—22no—
475(C2×D83)⋊C4—22no—
476(C2×D83)⋊C4—22no—
477(C2×D83)⋊C4—41no—
478(C2×D83)⋊C4—41no—
479(C2×D83)⋊C4—41no—
480(C2×D83)⋊C4—41no—
481(C2×D83)⋊C4—41no—
482(C2×D83)⋊C4—41no—
483(C2×D83)⋊C4—41no—
484(C2×D83)⋊C4—41no—
485(C2×D83)⋊C4—41no—
486(C2×D83)⋊C4—41no—
487(C2×D83)⋊C4—41no—
488(C2×D83)⋊C4—41no—
489(C2×D83)⋊C4—41no—
490(C2×D83)⋊C4—41no—
491(C2×D83)⋊C4—41no—
492(C2×D83)⋊C4—41no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495(C2×D83)⋊C4—41no—
496(C2×D83)⋊C4—41no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
499(C2×D83)⋊C4—41no—
500(C2×D83)⋊C4—41no—
501(C2×D83)⋊C4—41no—
502(C2×D83)⋊C4—41no—
503(C2×D83)⋊C4—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507C4×Dic83—22no—
508C4×Dic83—22no—
509C4×Dic83—22no—
510C4×Dic83—22no—
511C4×Dic83—22no—
512C4×Dic83—22no—
513C4×Dic83—22no—
514C4×Dic83—22no—
515C4×Dic83—22no—
516C24×C83C2411yescharacteristic
517C24×C83C2411yescharacteristic
518C2×D4×C83—22no—
519C2×D4×C83—41no—
520C2×D4×C83—41no—
521C22×C4×C83—41no—
522C22×C4×C83—41no—
523C22×C4×C83—41no—
524C22×C4×C83C2411yescharacteristic
525C22×C4×C83C2411yescharacteristic
526C22×C4×C83C2411yescharacteristic
527C22×C4×C83C2411yescharacteristic
528C22×C4×C83C2411yescharacteristic
529C22×C4×C83C2411yescharacteristic
530C22×C4×C83C2411yescharacteristic
531C22×C4×C83C2411yescharacteristic
532C22×C4×C83C2411yescharacteristic
533C22×C4×C83C2411yescharacteristic
534C22×C4×C83C2411yescharacteristic
535C22×C4×C83C2411yescharacteristic
536C22×C4×C83C2411yescharacteristic
537C4⋊C4×C83—41no—
538C4⋊C4×C83—41no—
539C4⋊C4×C83—41no—
540C4⋊C4×C83—41no—
541C4⋊C4×C83—41no—
542C4⋊C4×C83—41no—
543C4⋊C4×C83—41no—
544C4⋊C4×C83—41no—
545C4⋊C4×C83—41no—
546C4⋊C4×C83—41no—
547C22⋊C4×C83—22no—
548C22⋊C4×C83—22no—
549C22⋊C4×C83—41no—
550C22⋊C4×C83—41no—
551C22⋊C4×C83—41no—
552C22⋊C4×C83—41no—
553C22⋊C4×C83—41no—
554C22⋊C4×C83—41no—
555C22⋊C4×C83—41no—
556C22⋊C4×C83—41no—
557C22⋊C4×C83—41no—
558C23×C83—21no—
559C23×C83—21no—
560C23×C83—21no—
561C23×C83—21no—
562C23×C83—21no—
563C23×C83—21no—
564C23×C83—21no—
565C23×C83—21no—
566C23×C83—21no—
567C23×C83—21no—
568C23×C83—21no—
569C23×C83—21no—
570C23×C83—21no—
571C23×C83C2×#4112yes—
572C23×C83C2511yescharacteristic
573C22×D83—21no—
574C22×D83—21no—
575C22×D83—21no—
576C22×D83—21no—
577C22×D83—21no—
578C22×D83—21no—
579C22×D83—21no—
580C22×D83—21no—
581C22×D83—21no—
582C22×D83—21no—
583C22×D83—21no—
584C22×D83—21no—
585C22×D83—21no—
586C22×D83—21no—
587C22×D83—21no—
588C22×D83—21no—
589C22×D83—21no—
590C22×D83—21no—
591C22×D83—21no—
592C22×D83—21no—
593C22×D83—21no—
594C22×D83—21no—
595C22×D83—21no—
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—21no—
599C22×D83—44no—
600C22×D83—44no—
601C22×D83—44no—
602C22×D83—44no—
603C22×D83—44no—
604C22×D83—44no—
605C22×D83—44no—
606C22×D83C2×#4112yes—
607C22×D83C2×#4112yes—
608D4×C83—44no—
609C2×C4×C83—21no—
610C2×C4×C83—21no—
611C2×C4×C83—21no—
612C2×C4×C83—21no—
613C2×C4×C83—21no—
614C2×C4×C83—21no—
615C2×C4×C83—21no—
616C2×C4×C83—21no—
617C2×C4×C83—21no—
618C2×C4×C83—21no—
619C2×C4×C83—21no—
620C2×C4×C83—21no—
621C2×C4×C83—21no—
622C2×C4×C83—21no—
623C2×C4×C83—21no—
624C2×C4×C83—21no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—44no—
649C22⋊D83—44no—
650C22⋊D83—44no—
651C22⋊D83—44no—
652C22⋊D83—44no—
653C22⋊D83—44no—
654C22⋊D83—44no—
655C2×Dic83—21no—
656C2×Dic83—21no—
657C2×Dic83—21no—
658C2×Dic83—21no—
659C2×Dic83—21no—
660C2×Dic83—21no—
661C2×Dic83—21no—
662C2×Dic83—21no—
663C2×Dic83—21no—
664C2×Dic83—21no—
665C2×Dic83—21no—
666C2×Dic83—21no—
667C2×Dic83—21no—
668C2×Dic83—21no—
669C2×Dic83—21no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—44no—
689C2×Dic83—44no—
690C2×Dic83H(5,𝔽2)12yes—
691C2×Dic83H(5,𝔽2)12yes—
692C2×Dic83H(5,𝔽2)12yes—
693D332—44no—
694D332—44no—
695D332—44no—
696D332—44no—
697D332—44no—
698C4×D83—44no—
699C4×D83—44no—
700C4×D83—44no—
701C4×D83—44no—
702C4×D83—44no—
703C4×D83—44no—
704C22×C83—22no—
705C22×C83—22no—
706C22×C83—22no—
707C22×C83—41no—
708C22×C83—41no—
709C22×C83—41no—
710C22×C83—41no—
711C22×C83—41no—
712C22×C83—41no—
713C22×C83—41no—
714C22×C83—41no—
715C22×C83—41no—
716C22×C83—41no—
717C22×C83—41no—
718C22×C83C22×#4111yescharacteristic
719C22×C83C2×H(5,𝔽2)11yescharacteristic
720C22×C83C2×H(5,𝔽2)11yescharacteristic
721C22×C83C2×H(5,𝔽2)11yescharacteristic
722C22×C83#58511yescharacteristic
723C22×C83#58511yescharacteristic
724C22×C83#58511yescharacteristic
725C2×D83—22no—
726C2×D83—22no—
727C2×D83—22no—
728C2×D83—22no—
729C2×D83—22no—
730C2×D83—22no—
731C2×D83—416no—
732C2×D83—41no—
733C2×D83—41no—
734C2×D83—41no—
735C2×D83—41no—
736C2×D83—41no—
737C2×D83—41no—
738C2×D83—41no—
739C2×D83—41no—
740C2×D83—41no—
741C2×D83—41no—
742C2×D83—41no—
743C2×D83—41no—
744C2×D83—41no—
745C2×D83—41no—
746C2×D83—41no—
747C2×D83—41no—
748C2×D83—41no—
749C2×D83—41no—
750C2×D83—41no—
751C2×D83—41no—
752C2×D83—41no—
753C2×D83—41no—
754C4×C83—41no—
755C4×C83—41no—
756C4×C83—41no—
757C4×C83—41no—
758C4×C83—41no—
759C4×C83—41no—
760C4×C83—41no—
761C4×C83—41no—
762C4×C83—41no—
763C4×C83—41no—
764C4×C83—41no—
765C4×C83—41no—
766C4×C83—41no—
767Dic83—41no—
768Dic83—41no—
769Dic83—41no—
770Dic83—41no—
771Dic83—41no—
772Dic83—41no—
773Dic83—41no—
774Dic83—41no—
775Dic83—41no—
776Dic83—41no—
777Dic83—41no—
778Dic83#56014yes—
779#36676—831nomaximal, Sylow
780C2×C83—42no—
781C2×C83—81no—
782C2×C83#345911yescharacteristic
783C2×C83#345911yescharacteristic
784C2×C83#345911yescharacteristic
785C2×C83C2×#56011yescharacteristic
786C2×C83#352911yescharacteristic
787C2×C83#352911yescharacteristic
788C2×C83#352911yescharacteristic
789D83—42no—
790D83—42no—
791D83—81no—
792D83—81no—
793#2842—831no—
794#2834—831no—
795#2827—831no—
796#2827—831no—
797#2827—831no—
798#2827—831no—
799#2827—831no—
800#2827D8311yescharacteristic, complemented
801#2826—831no—
802#2826—831no—
803#2826—831no—
804#2825—831no—
805#2825—831no—
806#2812—831no—
807#2812—831no—
808#2812—831no—
809#2401—831no—
810#2401—831no—
811#2397—831no—
812#2395—831no—
813#2395—831no—
814#2395—831no—
815#2392—831no—
816#2392—831no—
817#2392—831no—
818#2392—831no—
819#2392—831no—
820#2392—831no—
821C4×#120—831no—
822C4×#120—831no—
823C4×#120—831no—
824C83#3667611yescharacteristic, complemented, Sylow
825C24×C4—831no—
826C2×#120—831no—
827C2×#120—831no—
828C2×#120—831no—
829C2×C4×D4—831no—
830C2×C4×D4—831no—
831C2×C4×D4—831no—
832C2×C4×D4—831no—
833C2×C4×D4—831no—
834C2×C4×D4—831no—
835C2×C4×D4—831no—
836C2×C4×D4—831no—
837C2×C4×D4—831no—
838C2×C4×D4—831no—
839C2×C4×D4—831no—
840C2×C4×D4—831no—
841C2×#117—831no—
842C2×#117—831no—
843C2×#117—831no—
844#401—831no—
845#401—831no—
846#400—831no—
847#400—831no—
848#400—831no—
849#400—831no—
850#400—831no—
851#400—831no—
852#400—831no—
853#400C2×D8311yescharacteristic, complemented
854#400C2×D8311yescharacteristic, complemented
855#399—831no—
856#399—831no—
857#399—831no—
858#399—831no—
859#399—831no—
860#399—831no—
861#399C2×D8311yescharacteristic, complemented
862#398—831no—
863#398—831no—
864#398—831no—
865#398—831no—
866#398—831no—
867#398—831no—
868#398—831no—
869#398C2×D8311yescharacteristic, complemented
870#398C2×D8311yescharacteristic, complemented
871#397—831no—
872#397—831no—
873#397—831no—
874#397—831no—
875#397—831no—
876#397—831no—
877#397—831no—
878#397—831no—
879#397—831no—
880#397—831no—
881#397—831no—
882#397—831no—
883#397—831no—
884#397—831no—
885#397—831no—
886#397—831no—
887#397—831no—
888#397—831no—
889#397C2×D8311yescharacteristic
890#397C2×D8311yescharacteristic, complemented
891#397C2×D8311yescharacteristic, complemented
892#396—831no—
893#396—831no—
894#396—831no—
895#396—831no—
896#396—831no—
897#396—831no—
898#396—831no—
899#396—831no—
900#396—831no—
901#396—831no—
902#396—831no—
903#396—831no—
904#396C2×D8311yescharacteristic
905#396C2×D8311yescharacteristic, complemented
906#394—831no—
907#394—831no—
908#394—831no—
909#394—831no—
910#394—831no—
911#394—831no—
912#394—831no—
913#394—831no—
914#394—831no—
915#394—831no—
916#394—831no—
917#394—831no—
918#394—831no—
919#394—831no—
920#394—831no—
921#394—831no—
922#394—831no—
923#394—831no—
924#394—831no—
925#394—831no—
926#394—831no—
927#394—831no—
928#394C2×D8311yescharacteristic
929#394C2×D8311yescharacteristic
930#392—831no—
931#392—831no—
932#392—831no—
933#392—831no—
934#392—831no—
935#392—831no—
936#392—831no—
937#392—831no—
938#392—831no—
939#392—831no—
940#386—831no—
941#386—831no—
942#386—831no—
943#386—831no—
944#386—831no—
945#386—831no—
946#386—831no—
947#386—831no—
948#386C2×D8311yescharacteristic
949#385—831no—
950#385—831no—
951#385—831no—
952#385—831no—
953#385—831no—
954#385—831no—
955#385—831no—
956#385C2×D8311yescharacteristic
957#385C2×D8311yescharacteristic
958#379—831no—
959#379—831no—
960#379—831no—
961C4×C4⋊C4—831no—
962C4×C4⋊C4—831no—
963C4×C4⋊C4—831no—
964C4×C4⋊C4—831no—
965C4×C4⋊C4—831no—
966C4×C4⋊C4—831no—
967C4×C22⋊C4—831no—
968C4×C22⋊C4—831no—
969C4×C22⋊C4—831no—
970C4×C22⋊C4—831no—
971C4×C22⋊C4—831no—
972C4×C22⋊C4—831no—
973C4×C22⋊C4—831no—
974C4×C22⋊C4—831no—
975C4×C22⋊C4—831no—
976C4×C22⋊C4—831no—
977C4×C22⋊C4—831no—
978C4×C22⋊C4—831no—
979#376—831no—
980C25—831no—
981C22×D4—831no—
982C22×D4—831no—
983C22×D4—831no—
984C22×D4—831no—
985C22×D4—831no—
986C22×D4—831no—
987C22×D4—831no—
988C22×D4—831no—
989C22×D4—831no—
990C22×D4—831no—
991C22×D4—831no—
992C22×D4C22×D8311yescharacteristic
993C23×C4—3322no—
994C23×C4—3322no—
995C23×C4—3322no—
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×C4C22×D8311yescharacteristic
1005#120—1664no—
1006#120—1664no—
1007#120—1664no—
1008C4×D4—3322no—
1009C4×D4—3322no—
1010C4×D4—3322no—
1011C4×D4—3322no—
1012C4×D4—3322no—
1013C4×D4—3322no—
1014C4×D4—3322no—
1015C4×D4—3322no—
1016C4×D4—3322no—
1017C4×D4—3322no—
1018C4×D4—3322no—
1019C4×D4—3322no—
1020#117—3322no—
1021#117—3322no—
1022#117—3322no—
1023C2×C4⋊C4—831no—
1024C2×C4⋊C4—831no—
1025C2×C4⋊C4—831no—
1026C2×C4⋊C4—831no—
1027C2×C4⋊C4—831no—
1028C2×C4⋊C4—831no—
1029C2×C4⋊C4—831no—
1030C2×C4⋊C4—831no—
1031C2×C4⋊C4—831no—
1032C2×C4⋊C4—831no—
1033C2×C4⋊C4—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⋊C4C22×D8311yescharacteristic
1044C2×C4⋊C4C22×D8311yescharacteristic
1045C2×C4⋊C4C22×D8311yescharacteristic
1046C2×C4⋊C4C22×D8311yescharacteristic
1047C2×C4⋊C4C22×D8311yescharacteristic
1048C2×C4⋊C4C22×D8311yescharacteristic
1049C2×C4⋊C4C22×D8311yescharacteristic
1050C2×C4⋊C4C22×D8311yescharacteristic
1051C2×C4⋊C4C22×D8311yescharacteristic
1052C2×C4⋊C4C22×D8311yescharacteristic
1053C2×C22⋊C4—831no—
1054C2×C22⋊C4—831no—
1055C2×C22⋊C4—831no—
1056C2×C22⋊C4—831no—
1057C2×C22⋊C4—831no—
1058C2×C22⋊C4—831no—
1059C2×C22⋊C4—831no—
1060C2×C22⋊C4—831no—
1061C2×C22⋊C4—831no—
1062C2×C22⋊C4—831no—
1063C2×C22⋊C4—831no—
1064C2×C22⋊C4—831no—
1065C2×C22⋊C4—831no—
1066C2×C22⋊C4—831no—
1067C2×C22⋊C4—831no—
1068C2×C22⋊C4—831no—
1069C2×C22⋊C4—831no—
1070C2×C22⋊C4—831no—
1071C2×C22⋊C4—831no—
1072C2×C22⋊C4—831no—
1073C2×C22⋊C4—831no—
1074C2×C22⋊C4—831no—
1075C2×C22⋊C4—831no—
1076C2×C22⋊C4—831no—
1077C2×C22⋊C4—831no—
1078C2×C22⋊C4—831no—
1079C2×C22⋊C4—831no—
1080C2×C22⋊C4—831no—
1081C2×C22⋊C4—831no—
1082C2×C22⋊C4—831no—
1083C2×C22⋊C4—831no—
1084C2×C22⋊C4—831no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—831no—
1088C2×C22⋊C4—831no—
1089C2×C22⋊C4—831no—
1090C2×C22⋊C4—831no—
1091C2×C22⋊C4—831no—
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4C22×D8311yescharacteristic
1097C2×C22⋊C4C22×D8311yescharacteristic
1098C2×C22⋊C4C22×D8311yescharacteristic
1099C2×C22⋊C4C22×D8311yescharacteristic
1100C2×C22⋊C4C22×D8311yescharacteristic
1101C2×C22⋊C4C22×D8311yescharacteristic
1102C2×C22⋊C4C22×D8311yescharacteristic
1103C2×C22⋊C4C22×D8311yescharacteristic
1104C2×C22⋊C4C22×D8311yescharacteristic
1105C2×C22⋊C4C22×D8311yescharacteristic
1106C2×C22⋊C4C22×D8311yescharacteristic
1107C2×C42—831no—
1108C2×C42—831no—
1109C2×C42—831no—
1110C2×C42—831no—
1111C2×C42—831no—
1112C2×C42—831no—
1113C2×C42—831no—
1114C2×C42—831no—
1115C2×C42—831no—
1116#95—831no—
1117#95—831no—
1118#95—831no—
1119#95—831no—
1120#95—831no—
1121#95—831no—
1122#95—831no—
1123#95—831no—
1124#95—831no—
1125#95—831no—
1126#95—831no—
1127#95—831no—
1128#95—831no—
1129#95—831no—
1130#95—831no—
1131#95—831no—
1132#95—831no—
1133#95—831no—
1134#95—831no—
1135#95—831no—
1136#95—831no—
1137#95—831no—
1138#95—831no—
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95C22×D8311yescharacteristic
1145#95C22×D8311yescharacteristic
1146#95C22×D8311yescharacteristic
1147#95C22×D8311yescharacteristic
1148#95C22×D8311yescharacteristic
1149#95C22×D8311yescharacteristic
1150#95C22×D8311yescharacteristic
1151#95C22×D8311yescharacteristic
1152#95C22×D8311yescharacteristic
1153#95C22×D8311yescharacteristic
1154#95C22×D8311yescharacteristic
1155#95C22×D8311yescharacteristic
1156C24—3321no—
1157C24—3321no—
1158C24—3321no—
1159C24—3321no—
1160C24—3321no—
1161C24—3321no—
1162C24—834no—
1163C24—831no—
1164C24—831no—
1165C24—831no—
1166C24—831no—
1167C24C23×D8311yescharacteristic
1168C24C23×D8311yescharacteristic
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—3321no—
1173C2×D4—3321no—
1174C2×D4—3321no—
1175C2×D4—3321no—
1176C2×D4—3321no—
1177C2×D4—3321no—
1178C2×D4—3321no—
1179C2×D4—3321no—
1180C2×D4—3321no—
1181C2×D4—3321no—
1182C2×D4—3321no—
1183C2×D4—3321no—
1184C2×D4—3321no—
1185C2×D4—3321no—
1186C2×D4—3321no—
1187C2×D4—3321no—
1188C2×D4—3321no—
1189C2×D4—3321no—
1190C2×D4—3321no—
1191C2×D4—3321no—
1192C2×D4—3321no—
1193C2×D4—3321no—
1194C2×D4—3321no—
1195C2×D4—3321no—
1196C2×D4—3321no—
1197C2×D4—1662no—
1198C2×D4—1662no—
1199C2×D4—1662no—
1200C2×D4—1662no—
1201C2×D4—1662no—
1202C2×D4—1662no—
1203C2×D4—1662no—
1204C2×D4—1662no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—3321no—
1209C22×C4—3321no—
1210C22×C4—3321no—
1211C22×C4—3321no—
1212C22×C4—3321no—
1213C22×C4—3321no—
1214C22×C4—33216no—
1215C22×C4—831no—
1216C22×C4—831no—
1217C22×C4—831no—
1218C22×C4—831no—
1219C22×C4—831no—
1220C22×C4—831no—
1221C22×C4—831no—
1222C22×C4—831no—
1223C22×C4—831no—
1224C22×C4—831no—
1225C22×C4—831no—
1226C22×C4—831no—
1227C22×C4—1662no—
1228C22×C4—1662no—
1229C22×C4—1662no—
1230C22×C4—1662no—
1231C22×C4—1662no—
1232C22×C4—1662no—
1233C22×C4—1662no—
1234C22×C4—1662no—
1235C22×C4—1662no—
1236C22×C4—1662no—
1237C22×C4—1662no—
1238C22×C4—1662no—
1239C22×C4—1662no—
1240C22×C4—1662no—
1241C22×C4—1662no—
1242C22×C4—1662no—
1243C22×C4—1662no—
1244C22×C4—1662no—
1245C22×C4C23×D8311yescharacteristic
1246C22×C4C23×D8311yescharacteristic
1247C22×C4C23×D8311yescharacteristic
1248C22×C4C23×D8311yescharacteristic
1249C22×C4C23×D8311yescharacteristic
1250C22×C4C23×D8311yescharacteristic
1251C22×C4C23×D8311yescharacteristic
1252C22×C4C23×D8311yescharacteristic
1253C22×C4C23×D8311yescharacteristic
1254C22×C4C23×D8311yescharacteristic
1255C22×C4C23×D8311yescharacteristic
1256C22×C4C23×D8311yescharacteristic
1257C22×C4C23×D8311yescharacteristic
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—3321no—
1269C4⋊C4—3321no—
1270C4⋊C4—3321no—
1271C4⋊C4—3321no—
1272C4⋊C4—3321no—
1273C4⋊C4—3321no—
1274C4⋊C4—3321no—
1275C4⋊C4—3321no—
1276C4⋊C4—3321no—
1277C4⋊C4—3321no—
1278C4⋊C4—3321no—
1279C4⋊C4—3321no—
1280C4⋊C4—3321no—
1281C4⋊C4—3321no—
1282C4⋊C4—3321no—
1283C4⋊C4—3321no—
1284C4⋊C4—3321no—
1285C4⋊C4—3321no—
1286C4⋊C4—3321no—
1287C4⋊C4—3321no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—3321no—
1300C22⋊C4—3321no—
1301C22⋊C4—3321no—
1302C22⋊C4—3321no—
1303C22⋊C4—3321no—
1304C22⋊C4—3321no—
1305C22⋊C4—3321no—
1306C22⋊C4—3321no—
1307C22⋊C4—3321no—
1308C22⋊C4—3321no—
1309C22⋊C4—3321no—
1310C22⋊C4—3321no—
1311C22⋊C4—3321no—
1312C22⋊C4—3321no—
1313C22⋊C4—3321no—
1314C22⋊C4—3321no—
1315C22⋊C4—3321no—
1316C22⋊C4—3321no—
1317C22⋊C4—3321no—
1318C22⋊C4—3321no—
1319C22⋊C4—3321no—
1320C22⋊C4—3321no—
1321C22⋊C4—3321no—
1322C22⋊C4—3321no—
1323C22⋊C4—3321no—
1324C22⋊C4—3321no—
1325C22⋊C4—3321no—
1326C22⋊C4—3321no—
1327C22⋊C4—3321no—
1328C22⋊C4—3321no—
1329C22⋊C4—3321no—
1330C22⋊C4—3321no—
1331C22⋊C4—3321no—
1332C22⋊C4—3321no—
1333C22⋊C4—3321no—
1334C22⋊C4—3321no—
1335C22⋊C4—1662no—
1336C22⋊C4—1662no—
1337C22⋊C4—1662no—
1338C22⋊C4—1662no—
1339C22⋊C4—1662no—
1340C22⋊C4—1662no—
1341C22⋊C4—1662no—
1342C42—1662no—
1343C42—1662no—
1344C42—1662no—
1345C42—1662no—
1346C42—1662no—
1347C42—1662no—
1348C42—1662no—
1349C42—1662no—
1350C42—1662no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—3324no—
1365C23—3324no—
1366C23—3324no—
1367C23—3324no—
1368C23—3324no—
1369C23—3324no—
1370C23—3324no—
1371C23—832no—
1372C23—832no—
1373C23—1661no—
1374C23—1661no—
1375C23—1661no—
1376C23—1661no—
1377C23—1661no—
1378C23—1661no—
1379C23—1661no—
1380C23—1661no—
1381C23—1661no—
1382C23—1661no—
1383C23—1661no—
1384C23—1661no—
1385C23—1661no—
1386C23—1661no—
1387C23—1661no—
1388C23—1661no—
1389C23—1661no—
1390C23—1661no—
1391C23—1661no—
1392C23—1661no—
1393C23—1661no—
1394C23—1661no—
1395C23—1661no—
1396C23—1661no—
1397C23—1661no—
1398C23—1661no—
1399C23#41×D8312yes—
1400C23C24×D8311yescharacteristic
1401D4—44no—
1402D4—3324no—
1403D4—3324no—
1404D4—3324no—
1405D4—3324no—
1406D4—3324no—
1407D4—3324no—
1408D4—3324no—
1409D4—3324no—
1410D4—3324no—
1411D4—3324no—
1412D4—3324no—
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—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—44no—
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—832no—
1462C2×C4—832no—
1463C2×C4—832no—
1464C2×C4—1661no—
1465C2×C4—1661no—
1466C2×C4—1661no—
1467C2×C4—1661no—
1468C2×C4—1661no—
1469C2×C4—1661no—
1470C2×C4—1661no—
1471C2×C4—1661no—
1472C2×C4—1661no—
1473C2×C4—1661no—
1474C2×C4—1661no—
1475C2×C4—1661no—
1476C2×C4—1661no—
1477C2×C4—1661no—
1478C2×C4—1661no—
1479C2×C4—1661no—
1480C2×C4—1661no—
1481C2×C4—1661no—
1482C2×C4—1661no—
1483C2×C4—1661no—
1484C2×C4—1661no—
1485C2×C4—1661no—
1486C2×C4—1661no—
1487C2×C4—1661no—
1488C2×C4—1661no—
1489C2×C4—1661no—
1490C2×C4—1661no—
1491C2×C4—1661no—
1492C2×C4—1661no—
1493C2×C4—1661no—
1494C2×C4—1661no—
1495C2×C4—1661no—
1496C2×C4—1661no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—33216no—
1512C22—3321no—
1513C22—3321no—
1514C22—3321no—
1515C22—3321no—
1516C22—3321no—
1517C22—3321no—
1518C22—3321no—
1519C22—3321no—
1520C22—3321no—
1521C22—3321no—
1522C22—3321no—
1523C22—3321no—
1524C22—3321no—
1525C22—3321no—
1526C22—3321no—
1527C22—3321no—
1528C22—3321no—
1529C22—3321no—
1530C22—3321no—
1531C22—3321no—
1532C22—3321no—
1533C22—3321no—
1534C22—1662no—
1535C22—1662no—
1536C22—1662no—
1537C22—1662no—
1538C22—1662no—
1539C22—1662no—
1540C22C2×#41×D8311yescharacteristic
1541C22H(5,𝔽2)×D8311yescharacteristic
1542C22H(5,𝔽2)×D8311yescharacteristic
1543C22H(5,𝔽2)×D8311yescharacteristic
1544C22#1912853611yescharacteristic
1545C22#1912853811yescharacteristic
1546C22#1912853811yescharacteristic
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—3321no—
1561C4—3321no—
1562C4—3321no—
1563C4—3321no—
1564C4—3321no—
1565C4—3321no—
1566C4—3321no—
1567C4—3321no—
1568C4—3321no—
1569C4—3321no—
1570C4—3321no—
1571C4—834no—
1572C2—42no—
1573C2—81no—
1574C2—3322no—
1575C2—3322no—
1576C2—6641no—
1577C2—6641no—
1578C2#2492087111yescharacteristic
1579C2#2492087111yescharacteristic
1580C2#2492087411yescharacteristic
1581C2#560×D8311yescharacteristic
1582C2#2492160011yescharacteristic
1583C2#2492160011yescharacteristic
1584C2#2492160411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2827C2
hypercenter#2827D83
hypocenterC83#36676
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2827

Complements

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

NH ≅ G/Ntype
1. #24915726C2semidirect
2. #24915645C2semidirect
3. #24915570C2semidirect
4. #24915569C2semidirect
5. #24915566C2semidirect
6. #24915565C2semidirect
7. #24915564C2semidirect
8. #24915560C2semidirect
9. #24915557C2semidirect
10. #24915555C2semidirect
11. #24915553C2semidirect
12. #24915549C2semidirect
13. #24915461C2semidirect
14. #24915459C2semidirect
15. #24915459C2semidirect
16. #24910762C2semidirect
17. #24910760C2semidirect
18. #24910743C2semidirect
19. #24910729C2semidirect
20. #24910727C2semidirect
21. #24910721C2semidirect
22. #24910708C2semidirect
23. #24910708C2semidirect
24. #24910706C2semidirect
25. #24910704C2semidirect
26. #24910702C2semidirect
27. #24910700C2semidirect
28. #24909968C2semidirect
29. #24909964C2semidirect
30. #24909964C2semidirect
31. C83×#2827C2semidirect
41. C2×#14581754C22semidirect
46. C2×(C22⋊D83)⋊C4C22semidirect
47. C2×(C22⋊D83)⋊C4C22semidirect
48. C2×#14581750C22semidirect
49. C2×#14581750C22semidirect
50. C2×#14581748C22semidirect
51. C83⋊#401C22semidirect
52. C83⋊#401C22semidirect
53. #19127643C22semidirect
54. #19127643C22semidirect
55. #19127642C22semidirect
56. #19127642C22semidirect
57. #19127641C22semidirect
58. #19127640C22semidirect
59. #19127639C22semidirect
64. #19127636C22semidirect
65. #19127636C22semidirect
66. #19127635C22semidirect
67. #19127635C22semidirect
68. #19127634C22semidirect
69. #19127634C22semidirect
70. #19127632C22semidirect
71. #19127631C22semidirect
72. #19127631C22semidirect
75. #19127630C22semidirect
76. #19127630C22semidirect
77. #19127630C22semidirect
78. #19127630C22semidirect
81. #19127629C22semidirect
82. #19127629C22semidirect
85. #19127628C22semidirect
86. #19127628C22semidirect
87. #19127628C22semidirect
90. #19127627C22semidirect
92. #19127625C22semidirect
96. #19127624C22semidirect
100. #19127623C22semidirect
101. #19127623C22semidirect
102. #19127623C22semidirect
107. #19127619C22semidirect
112. #19127618C22semidirect
117. #19127617C22semidirect
118. #19127617C22semidirect
123. #19127616C22semidirect
124. #19127616C22semidirect
132. #19127610C22semidirect
153. C4⋊C4×Dic83C22semidirect
154. C4⋊C4×Dic83C22semidirect
155. C4⋊C4×Dic83C22semidirect
156. #19127552C22semidirect
157. #19127552C22semidirect
158. #19127552C22semidirect
162. C22⋊C4×Dic83C22semidirect
169. #19127548C22semidirect
170. #19127548C22semidirect
171. #19127546C22semidirect
172. #400×C83C22semidirect
173. #400×C83C22semidirect
174. #399×C83C22semidirect
175. #398×C83C22semidirect
176. #398×C83C22semidirect
178. #397×C83C22semidirect
179. #397×C83C22semidirect
181. #396×C83C22semidirect
800. #2827D83semidirect
824. C83#36676semidirect
853. #400C2×D83semidirect
854. #400C2×D83semidirect
861. #399C2×D83semidirect
869. #398C2×D83semidirect
870. #398C2×D83semidirect
890. #397C2×D83semidirect
891. #397C2×D83semidirect
905. #396C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157262
#249156452
#249155702
#249155692
#249155662
#249155652
#249155642
#249155602
#249155572
#249155552
#249155532
#249155492
#249154612
#249154592
#249107622
#249107602
#249107432
#249107292
#249107272
#249107212
#249107082
#249107062
#249107042
#249107022
#249107002
#249099682
#249099642
C83×#28272
#3667683