Finite Group Databasebeta

← #35577250

Subgroups — #35577250

Order 21248.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915804C211yesmaximal, characteristic, complemented
2#24915783C211yesmaximal, characteristic, complemented
3#24915777C211yesmaximal, characteristic, complemented
4#24915774C211yesmaximal, characteristic, complemented
5#24913523C211yesmaximal, characteristic, complemented
6#24913508C211yesmaximal, characteristic, complemented
7#24913508C211yesmaximal, characteristic, complemented
8#24913463C211yesmaximal, characteristic, complemented
9#24912193C211yesmaximal, characteristic, complemented
10#24912108C211yesmaximal, characteristic, complemented
11#24911957C211yesmaximal, characteristic, complemented
12#24911849C211yesmaximal, characteristic, complemented
13#24911848C211yesmaximal, characteristic, complemented
14#24911742C211yesmaximal, characteristic, complemented
15#24911726C211yesmaximal, characteristic, complemented
16#24911604C211yesmaximal, characteristic, complemented
17#24911497C211yesmaximal, characteristic, complemented
18#24911419C211yesmaximal, characteristic, complemented
19#24911280C211yesmaximal, characteristic, complemented
20#24911126C211yesmaximal, characteristic, complemented
21#24910933C211yesmaximal, characteristic, complemented
22#24910858C211yesmaximal, characteristic
23#24910855C211yesmaximal, characteristic
24#24910198C211yesmaximal, characteristic, complemented
25#24910135C211yesmaximal, characteristic, complemented
26#24910089C211yesmaximal, characteristic, complemented
27#24910064C211yesmaximal, characteristic, complemented
28#24909968C211yesmaximal, characteristic
29C2×#19127575C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D83C211yesmaximal, characteristic, complemented
31C83×#2488C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33C2×#14581785C2211yescharacteristic, complemented
34C2×#14581784C2211yescharacteristic, complemented
35C2×#14581774C2211yescharacteristic
36C2×#14581768C2211yescharacteristic
37C2×#14581760C2211yescharacteristic
38C2×D4×Dic83C2211yescharacteristic
39C2×(C22⋊D83)⋊C4C2211yescharacteristic
40C2×(C22⋊D83)⋊C4C2211yescharacteristic
41C22×C4⋊Dic83C2211yescharacteristic
42C22×Dic83⋊C4C2211yescharacteristic
43C22×(C2×D83)⋊C4C2211yescharacteristic
44C22×(C2×D83)⋊C4C2211yescharacteristic
45C2×C22⋊C4×D83C2211yescharacteristic
46C2×C22⋊C4×D83C2211yescharacteristic
47C2×C42×D83C2211yescharacteristic
48C2×C42×D83C2211yescharacteristic
49C83⋊#401C2211yescharacteristic, complemented
50#19127643C2211yescharacteristic, complemented
51#19127643C2211yescharacteristic, complemented
52#19127643C2211yescharacteristic, complemented
53#19127642C2211yescharacteristic, complemented
54#19127642C2211yescharacteristic, complemented
55#19127641C2211yescharacteristic, complemented
56#19127636C2211yescharacteristic
57#19127635C2211yescharacteristic, complemented
58#19127635C2211yescharacteristic, complemented
59#19127635C2211yescharacteristic, complemented
60#19127630C2211yescharacteristic
61#19127630C2211yescharacteristic
62#19127630C2211yescharacteristic
63#19127629C2211yescharacteristic, complemented
64#19127628C2211yescharacteristic
65#19127628C2211yescharacteristic
66#19127628C2211yescharacteristic
67#19127627C2211yescharacteristic
68#19127627C2211yescharacteristic
69#19127624C2211yescharacteristic, complemented
70#19127623C2211yescharacteristic
71#19127623C2211yescharacteristic
72#19127617C2211yescharacteristic
73#19127617C2211yescharacteristic
74#19127617C2211yescharacteristic
75#19127616C2211yescharacteristic
76#19127612C2211yescharacteristic
77#19127608C2211yescharacteristic, complemented
78#19127608C2211yescharacteristic, complemented
79#19127600C2211yescharacteristic, complemented
80#19127600C2211yescharacteristic, complemented
81#19127600C2211yescharacteristic, complemented
82#19127600C2211yescharacteristic, complemented
83#19127599C2211yescharacteristic, complemented
84#19127595C2211yescharacteristic, complemented
85#19127595C2211yescharacteristic, complemented
86#19127594C2211yescharacteristic, complemented
87#19127594C2211yescharacteristic, complemented
88#19127589C2211yescharacteristic, complemented
89#19127588C2211yescharacteristic, complemented
90#19127587C2211yescharacteristic, complemented
91#19127587C2211yescharacteristic, complemented
92#19127587C2211yescharacteristic, complemented
93#19127587C2211yescharacteristic, complemented
94#19127587C2211yescharacteristic, complemented
95#19127587C2211yescharacteristic, complemented
96#19127586C2211yescharacteristic, complemented
97#19127586C2211yescharacteristic, complemented
98#19127586C2211yescharacteristic, complemented
99#19127586C2211yescharacteristic, complemented
100#19127586C2211yescharacteristic, complemented
101#19127586C2211yescharacteristic, complemented
102#19127586C2211yescharacteristic, complemented
103#19127585C2211yescharacteristic, complemented
104#19127585C2211yescharacteristic, complemented
105#19127584C2211yescharacteristic, complemented
106#19127584C2211yescharacteristic, complemented
107#19127584C2211yescharacteristic, complemented
108#19127584C2211yescharacteristic, complemented
109#19127584C2211yescharacteristic, complemented
110#19127583C2211yescharacteristic, complemented
111#19127583C2211yescharacteristic, complemented
112#19127581C2211yescharacteristic
113#19127581C2211yescharacteristic
114#19127577C2211yescharacteristic
115#19127577C2211yescharacteristic
116#19127577C2211yescharacteristic
117#19127577C2211yescharacteristic
118#19127577C2211yescharacteristic
119#19127576C2211yescharacteristic
120#19127576C2211yescharacteristic
121#19127576C2211yescharacteristic
122#19127576C2211yescharacteristic, complemented
123#19127576C2211yescharacteristic, complemented
124#19127575C2211yescharacteristic
125#19127575C2211yescharacteristic
126#19127575C2211yescharacteristic
127#19127575C2211yescharacteristic
128#19127575C2211yescharacteristic
129#19127575C2211yescharacteristic
130#19127575C2211yescharacteristic
131#19127575C2211yescharacteristic
132#19127575C2211yescharacteristic
133#19127575C2211yescharacteristic
134#19127575C2211yescharacteristic
135#19127575C2211yescharacteristic
136#19127575C2211yescharacteristic
137#19127574C2211yescharacteristic
138#19127574C2211yescharacteristic
139#19127573C2211yescharacteristic
140#19127572C2211yescharacteristic
141#19127572C2211yescharacteristic
142#19127568C2211yescharacteristic, complemented
143#19127568C2211yescharacteristic, complemented
144#19127565C2211yescharacteristic, complemented
145#19127564C2211yescharacteristic
146#19127564C2211yescharacteristic
147#19127563C2211yescharacteristic
148#19127563C2211yescharacteristic
149#19127563C2211yescharacteristic
150#19127562C2211yescharacteristic, complemented
151#19127561C2211yescharacteristic
152#19127559C2211yescharacteristic
153#19127559C2211yescharacteristic
154#19127559C2211yescharacteristic, complemented
155#19127558C2211yescharacteristic
156#19127558C2211yescharacteristic
157#19127558C2211yescharacteristic
158#19127556C2211yescharacteristic
159C22⋊C4×Dic83C2211yescharacteristic
160C22⋊C4×Dic83C2211yescharacteristic
161C22⋊C4×Dic83C2211yescharacteristic
162C4×(C2×D83)⋊C4C2211yescharacteristic
163C4×(C2×D83)⋊C4C2211yescharacteristic
164C4×C22⋊Dic83C2211yescharacteristic
165#19127548C2211yescharacteristic
166#19127548C2211yescharacteristic
167#19127548C2211yescharacteristic
168#19127548C2211yescharacteristic
169C2×C83⋊#95C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172C2×#123×C83C2211yescharacteristic
173C2×C22⋊Q8×C83C2211yescharacteristic
174#400×C83C2211yescharacteristic, complemented
175#400×C83C2211yescharacteristic, complemented
176#397×C83C2211yescharacteristic, complemented
177#393×C83C2211yescharacteristic, complemented
178#391×C83C2211yescharacteristic, complemented
179#388×C83C2211yescharacteristic, complemented
180#388×C83C2211yescharacteristic, complemented
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#382×C83C2211yescharacteristic, complemented
184#381×C83C2211yescharacteristic
185C4×C22⋊C4×C83C2211yescharacteristic
186C2×#95×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C22×C22⋊D83C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C23×Dic83C2311yescharacteristic
191C23×Dic83C2311yescharacteristic
192C23×Dic83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C22×C4×D83—24no—
195C22×C4×D83—42no—
196C22×C4×D83—42no—
197C22×C4×D83C2311yescharacteristic
198C22×C4×D83C2311yescharacteristic
199C22×C4×D83C2311yescharacteristic
200C22×C4×D83C2311yescharacteristic
201C22×C4×D83C2311yescharacteristic
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205#14581785—42no—
206#14581784—42no—
207#14581774—42no—
208#14581768—42no—
209#14581760—24no—
210D4×Dic83—24no—
211(C22⋊D83)⋊C4—42no—
212(C22⋊D83)⋊C4—42no—
213C2×C4⋊Dic83—24no—
214C2×C4⋊Dic83C2311yescharacteristic
215C2×C4⋊Dic83C2311yescharacteristic
216C2×C4⋊Dic83C2311yescharacteristic
217C2×C4⋊Dic83C2311yescharacteristic
218C2×C4⋊Dic83C2311yescharacteristic
219C2×C4⋊Dic83C2311yescharacteristic
220C2×C4⋊Dic83C2311yescharacteristic
221C2×C4⋊Dic83C2311yescharacteristic
222C2×C4⋊Dic83C2311yescharacteristic
223C2×C4⋊Dic83C2311yescharacteristic
224C2×C4⋊Dic83C2311yescharacteristic
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×Dic83⋊C4—42no—
228C2×Dic83⋊C4C2311yescharacteristic
229C2×Dic83⋊C4C2311yescharacteristic
230C2×Dic83⋊C4C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
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×C22⋊Dic83C2311yescharacteristic
243C2×C22⋊Dic83C2311yescharacteristic
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×(C2×D83)⋊C4—24no—
252C2×(C2×D83)⋊C4—42no—
253C2×(C2×D83)⋊C4C2311yescharacteristic
254C2×(C2×D83)⋊C4C2311yescharacteristic
255C2×(C2×D83)⋊C4C2311yescharacteristic
256C2×(C2×D83)⋊C4C2311yescharacteristic
257C2×(C2×D83)⋊C4C2311yescharacteristic
258C2×(C2×D83)⋊C4C2311yescharacteristic
259C2×(C2×D83)⋊C4C2311yescharacteristic
260C2×(C2×D83)⋊C4C2311yescharacteristic
261C2×(C2×D83)⋊C4C2311yescharacteristic
262C2×(C2×D83)⋊C4C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C22⋊C4×D83—24no—
272C22⋊C4×D83—24no—
273C2×C4×Dic83C2311yescharacteristic
274C2×C4×Dic83C2311yescharacteristic
275C2×C4×Dic83C2311yescharacteristic
276C2×C4×Dic83C2311yescharacteristic
277C2×C4×Dic83C2311yescharacteristic
278C2×C4×Dic83C2311yescharacteristic
279C2×C4×Dic83C2311yescharacteristic
280C2×C4×Dic83C2311yescharacteristic
281C2×C4×Dic83C2311yescharacteristic
282C42×D83—42no—
283C42×D83—42no—
284C83⋊#95C2311yescharacteristic
285C83⋊#95C2311yescharacteristic
286C83⋊#95C2311yescharacteristic
287C83⋊#95C2311yescharacteristic
288C83⋊#95C2311yescharacteristic
289C83⋊#95C2311yescharacteristic
290C83⋊#95C2311yescharacteristic
291C83⋊#95C2311yescharacteristic
292C83⋊#95C2311yescharacteristic
293C83⋊#95C2311yescharacteristic
294C83⋊#95C2311yescharacteristic
295C83⋊#95C2311yescharacteristic
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C22×Q8×C83C2311yescharacteristic
327C22×D4×C83C2311yescharacteristic
328C23×C4×C83C2311yescharacteristic
329C23×C4×C83C2311yescharacteristic
330C23×C4×C83C2311yescharacteristic
331#123×C83—24no—
332C22⋊Q8×C83—24no—
333C2×C4⋊C4×C83C2311yescharacteristic
334C2×C4⋊C4×C83C2311yescharacteristic
335C2×C4⋊C4×C83C2311yescharacteristic
336C2×C4⋊C4×C83C2311yescharacteristic
337C2×C4⋊C4×C83C2311yescharacteristic
338C2×C22⋊C4×C83C2311yescharacteristic
339C2×C22⋊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×C42×C83C2311yescharacteristic
348C2×C42×C83C2311yescharacteristic
349#95×C83C2311yescharacteristic
350#95×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—22no—
364C23×D83—22no—
365C23×D83—22no—
366C23×D83—22no—
367C23×D83—41no—
368C23×D83—41no—
369C23×D83#4114yes—
370C23×D83C2411yescharacteristic
371C23×D83C2411yescharacteristic
372C2×C22⋊D83—22no—
373C2×C22⋊D83—22no—
374C2×C22⋊D83—22no—
375C2×C22⋊D83—22no—
376C2×C22⋊D83—41no—
377C2×C22⋊D83—41no—
378C22×Dic83—22no—
379C22×Dic83—22no—
380C22×Dic83—22no—
381C22×Dic83—41no—
382C22×Dic83—41no—
383C22×Dic83—41no—
384C22×Dic83—41no—
385C22×Dic83—41no—
386C22×Dic83—41no—
387C22×Dic83—41no—
388C22×Dic83—41no—
389C22×Dic83#4114yes—
390C22×Dic83C2411yescharacteristic
391C22×Dic83C2411yescharacteristic
392C22×Dic83C2411yescharacteristic
393C22×Dic83C2411yescharacteristic
394C22×Dic83C2411yescharacteristic
395C22×Dic83C2411yescharacteristic
396C22×Dic83C2411yescharacteristic
397C22×Dic83C2411yescharacteristic
398C22×Dic83C2411yescharacteristic
399C22×Dic83C2411yescharacteristic
400C22×Dic83C2411yescharacteristic
401C22×Dic83C2411yescharacteristic
402C22×Dic83C2411yescharacteristic
403C22×Dic83C2411yescharacteristic
404C2×C4×D83—22no—
405C2×C4×D83—22no—
406C2×C4×D83—22no—
407C2×C4×D83—22no—
408C2×C4×D83—22no—
409C2×C4×D83—22no—
410C2×C4×D83—22no—
411C2×C4×D83—22no—
412C2×C4×D83—22no—
413C2×C4×D83—22no—
414C2×C4×D83—22no—
415C2×C4×D83—22no—
416C2×C4×D83—22no—
417C2×C4×D83—22no—
418C2×C4×D83—22no—
419C2×C4×D83—22no—
420C2×C4×D83—416no—
421C2×C4×D83—41no—
422C2×C4×D83—41no—
423C2×C4×D83—41no—
424C2×C4×D83—41no—
425C2×C4×D83—41no—
426C2×C4×D83—41no—
427C2×C4×D83—41no—
428C2×C4×D83—41no—
429C4⋊Dic83—22no—
430C4⋊Dic83—22no—
431C4⋊Dic83—22no—
432C4⋊Dic83—22no—
433C4⋊Dic83—22no—
434C4⋊Dic83—41no—
435C4⋊Dic83—41no—
436C4⋊Dic83—41no—
437C4⋊Dic83—41no—
438C4⋊Dic83—41no—
439C4⋊Dic83—41no—
440C4⋊Dic83—41no—
441C4⋊Dic83—41no—
442Dic83⋊C4—22no—
443Dic83⋊C4—22no—
444Dic83⋊C4—22no—
445Dic83⋊C4—41no—
446Dic83⋊C4—41no—
447Dic83⋊C4—41no—
448Dic83⋊C4—41no—
449Dic83⋊C4—41no—
450Dic83⋊C4—41no—
451Dic83⋊C4—41no—
452Dic83⋊C4—41no—
453Dic83⋊C4—41no—
454Dic83⋊C4—41no—
455Dic83⋊C4—41no—
456C22⋊Dic83—22no—
457C22⋊Dic83—22no—
458C22⋊Dic83—22no—
459C22⋊Dic83—22no—
460C22⋊Dic83—22no—
461C22⋊Dic83—41no—
462C22⋊Dic83—41no—
463C22⋊Dic83—41no—
464C22⋊Dic83—41no—
465(C2×D83)⋊C4—22no—
466(C2×D83)⋊C4—22no—
467(C2×D83)⋊C4—22no—
468(C2×D83)⋊C4—22no—
469(C2×D83)⋊C4—22no—
470(C2×D83)⋊C4—22no—
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—22no—
478(C2×D83)⋊C4—22no—
479(C2×D83)⋊C4—41no—
480(C2×D83)⋊C4—41no—
481(C2×D83)⋊C4—41no—
482(C2×D83)⋊C4—41no—
483C4×Dic83—22no—
484C4×Dic83—22no—
485C4×Dic83—41no—
486C4×Dic83—41no—
487C4×Dic83—41no—
488C4×Dic83—41no—
489C4×Dic83—41no—
490C4×Dic83—41no—
491C4×Dic83—41no—
492C24×C83C2411yescharacteristic
493C24×C83C2411yescharacteristic
494C2×Q8×C83—22no—
495C2×Q8×C83—41no—
496C2×Q8×C83—41no—
497C2×D4×C83—22no—
498C2×D4×C83—22no—
499C2×D4×C83—22no—
500C22×C4×C83—22no—
501C22×C4×C83—22no—
502C22×C4×C83—22no—
503C22×C4×C83—22no—
504C22×C4×C83—22no—
505C22×C4×C83—22no—
506C22×C4×C83—41no—
507C22×C4×C83—41no—
508C22×C4×C83—41no—
509C22×C4×C83C2411yescharacteristic
510C22×C4×C83C2411yescharacteristic
511C22×C4×C83C2411yescharacteristic
512C22×C4×C83C2411yescharacteristic
513C22×C4×C83C2411yescharacteristic
514C22×C4×C83C2411yescharacteristic
515C22×C4×C83C2411yescharacteristic
516C22×C4×C83C2411yescharacteristic
517C22×C4×C83C2411yescharacteristic
518C22×C4×C83C2411yescharacteristic
519C22×C4×C83C2411yescharacteristic
520C22×C4×C83C2411yescharacteristic
521C22×C4×C83C2411yescharacteristic
522C4⋊C4×C83—22no—
523C4⋊C4×C83—22no—
524C4⋊C4×C83—22no—
525C4⋊C4×C83—22no—
526C4⋊C4×C83—22no—
527C22⋊C4×C83—22no—
528C22⋊C4×C83—22no—
529C22⋊C4×C83—22no—
530C22⋊C4×C83—22no—
531C22⋊C4×C83—22no—
532C22⋊C4×C83—41no—
533C22⋊C4×C83—41no—
534C22⋊C4×C83—41no—
535C22⋊C4×C83#4114yes—
536C42×C83—22no—
537C42×C83—41no—
538C23×C83—21no—
539C23×C83—21no—
540C23×C83—21no—
541C23×C83—21no—
542C23×C83—21no—
543C23×C83—21no—
544C23×C83—21no—
545C23×C83—21no—
546C23×C83—21no—
547C23×C83—21no—
548C23×C83—21no—
549C23×C83C2×#4112yes—
550C23×C83C2×#4112yes—
551C23×C83C2×#4112yes—
552C23×C83C2511yescharacteristic
553C22×D83—21no—
554C22×D83—21no—
555C22×D83—21no—
556C22×D83—21no—
557C22×D83—28no—
558C22×D83—21no—
559C22×D83—21no—
560C22×D83—21no—
561C22×D83—21no—
562C22×D83—21no—
563C22×D83—21no—
564C22×D83—28no—
565C22×D83—44no—
566C22×D83—44no—
567C22×D83—44no—
568C22×D83—44no—
569C22×D83—44no—
570C22×D83C2×#4112yes—
571C22×D83C2×#4112yes—
572C22×D83H(5,𝔽2)12yes—
573C22×D832−1+412yes—
574Q8×C83—82no—
575D4×C83—44no—
576C2×C4×C83—21no—
577C2×C4×C83—21no—
578C2×C4×C83—21no—
579C2×C4×C83—21no—
580C2×C4×C83—21no—
581C2×C4×C83—21no—
582C2×C4×C83—21no—
583C2×C4×C83—21no—
584C2×C4×C83—21no—
585C2×C4×C83—21no—
586C2×C4×C83—21no—
587C2×C4×C83—21no—
588C2×C4×C83—21no—
589C2×C4×C83—21no—
590C2×C4×C83—21no—
591C2×C4×C83—21no—
592C2×C4×C83—21no—
593C2×C4×C83—21no—
594C2×C4×C83—21no—
595C2×C4×C83—21no—
596C2×C4×C83—21no—
597C2×C4×C83—21no—
598C2×C4×C83—21no—
599C2×C4×C83—21no—
600C2×C4×C83—21no—
601C2×C4×C83—21no—
602C2×C4×C83—21no—
603C2×C4×C83—21no—
604C2×C4×C83—21no—
605C2×C4×C83—21no—
606C2×C4×C83—21no—
607C2×C4×C83—21no—
608C2×C4×C83—21no—
609C2×C4×C83—21no—
610C2×C4×C83—21no—
611C2×C4×C83—21no—
612C2×C4×C83—44no—
613C2×C4×C83—44no—
614C2×C4×C83—82no—
615C2×C4×C83C2×#4112yes—
616C2×C4×C83C2×#4112yes—
617C2×C4×C83H(5,𝔽2)12yes—
618C22⋊D83—44no—
619C22⋊D83—44no—
620C2×Dic83—21no—
621C2×Dic83—21no—
622C2×Dic83—21no—
623C2×Dic83—21no—
624C2×Dic83—21no—
625C2×Dic83—21no—
626C2×Dic83—21no—
627C2×Dic83—21no—
628C2×Dic83—21no—
629C2×Dic83—21no—
630C2×Dic83—21no—
631C2×Dic83—21no—
632C2×Dic83—21no—
633C2×Dic83—21no—
634C2×Dic83—21no—
635C2×Dic83—21no—
636C2×Dic83—21no—
637C2×Dic83—21no—
638C2×Dic83—21no—
639C2×Dic83—21no—
640C2×Dic83—21no—
641C2×Dic83—21no—
642C2×Dic83—21no—
643C2×Dic83—21no—
644C2×Dic83—21no—
645C2×Dic83—21no—
646C2×Dic83—21no—
647C2×Dic83—21no—
648C2×Dic83—21no—
649C2×Dic83—21no—
650C2×Dic83—21no—
651C2×Dic83—21no—
652C2×Dic83—21no—
653C2×Dic83—21no—
654C2×Dic83—21no—
655C2×Dic83—21no—
656C2×Dic83—21no—
657C2×Dic83—21no—
658C2×Dic83—21no—
659C2×Dic83—21no—
660C2×Dic83—44no—
661C2×Dic83—44no—
662C2×Dic83—82no—
663C2×Dic83—82no—
664C2×Dic83C2×#4112yes—
665C2×Dic83C2×#4112yes—
666C4×D83—28no—
667C4×D83—44no—
668C4×D83—44no—
669C4×D83—44no—
670C4×D83—44no—
671C4×D83—44no—
672C4×D83—44no—
673C4×D83—44no—
674C22×C83—22no—
675C22×C83—22no—
676C22×C83—22no—
677C22×C83—22no—
678C22×C83—22no—
679C22×C83—22no—
680C22×C83—41no—
681C22×C83—41no—
682C22×C83—41no—
683C22×C83—41no—
684C22×C83—41no—
685C22×C83—41no—
686C22×C83—41no—
687C22×C83#52914yes—
688C22×C83C22×#4111yescharacteristic
689C22×C83C22×#4111yescharacteristic
690C22×C83C22×#4111yescharacteristic
691C22×C83C2×H(5,𝔽2)11yescharacteristic
692C22×C83C2×H(5,𝔽2)11yescharacteristic
693C22×C83C2×2−1+411yescharacteristic
694C22×C83#58511yescharacteristic
695C2×D83—22no—
696C2×D83—22no—
697C2×D83—22no—
698C2×D83—22no—
699C2×D83—22no—
700C2×D83—22no—
701C2×D83—22no—
702C2×D83—22no—
703C2×D83—22no—
704C2×D83—416no—
705C2×D83—41no—
706C2×D83—41no—
707C2×D83—41no—
708C2×D83—41no—
709C2×D83#53914yes—
710C4×C83—22no—
711C4×C83—22no—
712C4×C83—22no—
713C4×C83—41no—
714C4×C83—41no—
715C4×C83—41no—
716C4×C83—41no—
717C4×C83—41no—
718C4×C83—41no—
719C4×C83—41no—
720C4×C83—41no—
721C4×C83—41no—
722C4×C83—41no—
723Dic83—22no—
724Dic83—22no—
725Dic83—41no—
726Dic83—41no—
727Dic83—41no—
728Dic83—41no—
729Dic83—41no—
730Dic83—41no—
731Dic83—41no—
732Dic83—41no—
733Dic83—41no—
734Dic83—41no—
735Dic83—41no—
736Dic83—41no—
737#34999—831nomaximal, Sylow
738C2×C83—24no—
739C2×C83—81no—
740C2×C83C2×#52911yescharacteristic
741C2×C83C2×#53911yescharacteristic
742C2×C83#345911yescharacteristic
743C2×C83#349011yescharacteristic
744C2×C83#349511yescharacteristic
745C2×C83#351311yescharacteristic
746C2×C83#352011yescharacteristic
747D83—24no—
748D83—42no—
749#2855—831no—
750#2853—831no—
751#2852—831no—
752#2851—831no—
753#2653—831no—
754#2652—831no—
755#2652—831no—
756#2649—831no—
757#2523—831no—
758#2517—831no—
759#2505—831no—
760#2493—831no—
761#2493—831no—
762#2488D8311yescharacteristic, complemented
763#2483—831no—
764#2481—831no—
765#2473—831no—
766#2466—831no—
767#2460—831no—
768#2450—831no—
769#2437—831no—
770#2419—831no—
771#2412—831no—
772#2412—831no—
773#2329—831no—
774#2322—831no—
775#2318—831no—
776#2313—831no—
777C4×#120—831no—
778C2×#385—831no—
779C2×C4×C22⋊C4—831no—
780C83#3499911yescharacteristic, complemented, Sylow
781C24×C4—831no—
782C2×#126—831no—
783C2×#125—831no—
784C2×#123—831no—
785C2×#123C2×D8311yescharacteristic
786C2×C22⋊Q8—831no—
787C2×C22⋊Q8C2×D8311yescharacteristic
788C2×#120—831no—
789C2×C4×D4—831no—
790C2×C4×D4—831no—
791C2×C4×D4—831no—
792C22×C4⋊C4—831no—
793C22×C4⋊C4—831no—
794C22×C22⋊C4—831no—
795C22×C22⋊C4—831no—
796C22×C22⋊C4—831no—
797C22×C22⋊C4—831no—
798C22×C42—831no—
799C22×C42—831no—
800#401—831no—
801#400—831no—
802#400—831no—
803#400—831no—
804#400—831no—
805#400—831no—
806#400—831no—
807#400C2×D8311yescharacteristic, complemented
808#400C2×D8311yescharacteristic, complemented
809#399—831no—
810#398—831no—
811#398—831no—
812#398—831no—
813#397—831no—
814#397—831no—
815#397—831no—
816#397—831no—
817#397—831no—
818#397—831no—
819#397—831no—
820#397—831no—
821#397—831no—
822#397C2×D8311yescharacteristic, complemented
823#396—831no—
824#396—831no—
825#396—831no—
826#394—831no—
827#394—831no—
828#394—831no—
829#394—831no—
830#393—831no—
831#393C2×D8311yescharacteristic, complemented
832#391—831no—
833#391—831no—
834#391C2×D8311yescharacteristic, complemented
835#389—831no—
836#389—831no—
837#389—831no—
838#389—831no—
839#389—831no—
840#388—831no—
841#388—831no—
842#388—831no—
843#388—831no—
844#388—831no—
845#388C2×D8311yescharacteristic, complemented
846#388C2×D8311yescharacteristic, complemented
847#387—831no—
848#387—831no—
849#387—831no—
850#387—831no—
851#387—831no—
852#387—831no—
853#387—831no—
854#387—831no—
855#387—831no—
856#387—831no—
857#387—831no—
858#387—831no—
859#387—831no—
860#387—831no—
861#387—831no—
862#387—831no—
863#387—831no—
864#387—831no—
865#387—831no—
866#387—831no—
867#387—831no—
868#387—831no—
869#387—831no—
870#386—831no—
871#386—831no—
872#386—831no—
873#386—831no—
874#386—831no—
875#386—831no—
876#386—831no—
877#386C2×D8311yescharacteristic
878#386C2×D8311yescharacteristic
879#385—831no—
880#385—831no—
881#385—831no—
882#385—831no—
883#385—831no—
884#385—831no—
885#385—831no—
886#385—831no—
887#385—831no—
888#385—831no—
889#385—831no—
890#385—831no—
891#385—831no—
892#385—831no—
893#385—831no—
894#385—831no—
895#385—831no—
896#385—831no—
897#385—831no—
898#385—831no—
899#385—831no—
900#385—831no—
901#385—831no—
902#383—831no—
903#383—831no—
904#382—831no—
905#382C2×D8311yescharacteristic, complemented
906#381—831no—
907#381—831no—
908#381—831no—
909#381—831no—
910#381—831no—
911#381—831no—
912#381C2×D8311yescharacteristic
913#380—831no—
914#380—831no—
915#380—831no—
916#380—831no—
917#380—831no—
918#380—831no—
919#380—831no—
920#379—831no—
921C4×C22⋊C4—831no—
922C4×C22⋊C4—831no—
923C4×C22⋊C4—831no—
924C4×C22⋊C4—831no—
925C4×C22⋊C4—831no—
926C4×C22⋊C4—831no—
927C4×C22⋊C4—831no—
928C4×C22⋊C4—831no—
929C4×C22⋊C4—831no—
930C4×C22⋊C4—831no—
931C4×C22⋊C4C2×D8311yescharacteristic
932C2×#95—831no—
933C2×#95—831no—
934C2×#95—831no—
935C2×#95C2×D8311yescharacteristic
936C25—831no—
937C22×Q8C22×D8311yescharacteristic
938C22×D4—831no—
939C22×D4—831no—
940C22×D4C22×D8311yescharacteristic
941C23×C4—3322no—
942C23×C4—3322no—
943C23×C4—831no—
944C23×C4—831no—
945C23×C4—831no—
946C23×C4—831no—
947C23×C4—831no—
948C23×C4—831no—
949C23×C4—831no—
950C23×C4—831no—
951C23×C4—831no—
952C23×C4—831no—
953C23×C4—831no—
954C23×C4—831no—
955C23×C4—1664no—
956C23×C4C22×D8311yescharacteristic
957C23×C4C22×D8311yescharacteristic
958C23×C4C22×D8311yescharacteristic
959#126—3322no—
960#125—3322no—
961#123—24no—
962#123—3322no—
963C22⋊Q8—24no—
964C22⋊Q8—3322no—
965#120—1664no—
966C4×D4—3322no—
967C4×D4—3322no—
968C4×D4—1664no—
969C2×C4⋊C4—3322no—
970C2×C4⋊C4—831no—
971C2×C4⋊C4—831no—
972C2×C4⋊C4—831no—
973C2×C4⋊C4—831no—
974C2×C4⋊C4—831no—
975C2×C4⋊C4—831no—
976C2×C4⋊C4—831no—
977C2×C4⋊C4—831no—
978C2×C4⋊C4—831no—
979C2×C4⋊C4—831no—
980C2×C4⋊C4—831no—
981C2×C4⋊C4—831no—
982C2×C4⋊C4—831no—
983C2×C4⋊C4—831no—
984C2×C4⋊C4—831no—
985C2×C4⋊C4—831no—
986C2×C4⋊C4—831no—
987C2×C4⋊C4—831no—
988C2×C4⋊C4—831no—
989C2×C4⋊C4—831no—
990C2×C4⋊C4—831no—
991C2×C4⋊C4—831no—
992C2×C4⋊C4—831no—
993C2×C4⋊C4—831no—
994C2×C4⋊C4—831no—
995C2×C4⋊C4—831no—
996C2×C4⋊C4—831no—
997C2×C4⋊C4—1664no—
998C2×C4⋊C4C22×D8311yescharacteristic
999C2×C4⋊C4C22×D8311yescharacteristic
1000C2×C4⋊C4C22×D8311yescharacteristic
1001C2×C4⋊C4C22×D8311yescharacteristic
1002C2×C4⋊C4C22×D8311yescharacteristic
1003C2×C22⋊C4—3322no—
1004C2×C22⋊C4—831no—
1005C2×C22⋊C4—831no—
1006C2×C22⋊C4—831no—
1007C2×C22⋊C4—831no—
1008C2×C22⋊C4—831no—
1009C2×C22⋊C4—831no—
1010C2×C22⋊C4—831no—
1011C2×C22⋊C4—831no—
1012C2×C22⋊C4—831no—
1013C2×C22⋊C4—831no—
1014C2×C22⋊C4—831no—
1015C2×C22⋊C4—831no—
1016C2×C22⋊C4—831no—
1017C2×C22⋊C4—831no—
1018C2×C22⋊C4—831no—
1019C2×C22⋊C4—831no—
1020C2×C22⋊C4—831no—
1021C2×C22⋊C4—831no—
1022C2×C22⋊C4—831no—
1023C2×C22⋊C4—831no—
1024C2×C22⋊C4—831no—
1025C2×C22⋊C4—831no—
1026C2×C22⋊C4—831no—
1027C2×C22⋊C4—831no—
1028C2×C22⋊C4—831no—
1029C2×C22⋊C4—831no—
1030C2×C22⋊C4—831no—
1031C2×C22⋊C4—1664no—
1032C2×C22⋊C4—1664no—
1033C2×C22⋊C4—1664no—
1034C2×C22⋊C4C22×D8311yescharacteristic
1035C2×C22⋊C4C22×D8311yescharacteristic
1036C2×C22⋊C4C22×D8311yescharacteristic
1037C2×C22⋊C4C22×D8311yescharacteristic
1038C2×C22⋊C4C22×D8311yescharacteristic
1039C2×C22⋊C4C22×D8311yescharacteristic
1040C2×C22⋊C4C22×D8311yescharacteristic
1041C2×C22⋊C4C22×D8311yescharacteristic
1042C2×C22⋊C4C22×D8311yescharacteristic
1043C2×C42—3322no—
1044C2×C42—3322no—
1045C2×C42—831no—
1046C2×C42—831no—
1047C2×C42—831no—
1048C2×C42—831no—
1049C2×C42—831no—
1050C2×C42—831no—
1051C2×C42—831no—
1052C2×C42—831no—
1053C2×C42—831no—
1054C2×C42C22×D8311yescharacteristic
1055C2×C42C22×D8311yescharacteristic
1056#95—831no—
1057#95—831no—
1058#95—831no—
1059#95—831no—
1060#95—831no—
1061#95—831no—
1062#95—831no—
1063#95—831no—
1064#95—831no—
1065#95—831no—
1066#95—831no—
1067#95—831no—
1068#95—831no—
1069#95—831no—
1070#95—831no—
1071#95—831no—
1072#95—831no—
1073#95—831no—
1074#95—831no—
1075#95—831no—
1076#95—831no—
1077#95—831no—
1078#95—831no—
1079#95—831no—
1080#95—831no—
1081#95—831no—
1082#95—831no—
1083#95—831no—
1084#95—831no—
1085#95—831no—
1086#95—831no—
1087#95—831no—
1088#95—831no—
1089#95—831no—
1090#95—831no—
1091#95—831no—
1092#95—831no—
1093#95—831no—
1094#95—831no—
1095#95—831no—
1096#95—831no—
1097#95—831no—
1098#95C22×D8311yescharacteristic
1099#95C22×D8311yescharacteristic
1100#95C22×D8311yescharacteristic
1101#95C22×D8311yescharacteristic
1102#95C22×D8311yescharacteristic
1103#95C22×D8311yescharacteristic
1104#95C22×D8311yescharacteristic
1105#95C22×D8311yescharacteristic
1106#95C22×D8311yescharacteristic
1107#95C22×D8311yescharacteristic
1108#95C22×D8311yescharacteristic
1109#95C22×D8311yescharacteristic
1110#95C22×D8311yescharacteristic
1111#95C22×D8311yescharacteristic
1112C24—3321no—
1113C24—3321no—
1114C24—834no—
1115C24—831no—
1116C24—831no—
1117C24—1662no—
1118C24—1662no—
1119C24—1662no—
1120C24—1662no—
1121C24C23×D8311yescharacteristic
1122C24C23×D8311yescharacteristic
1123C2×Q8—22no—
1124C2×Q8—41no—
1125C2×Q8—41no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—3321no—
1130C2×D4—3321no—
1131C2×D4—1662no—
1132C2×D4—1662no—
1133C2×D4—1662no—
1134C2×D4—1662no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—3321no—
1145C22×C4—3321no—
1146C22×C4—3321no—
1147C22×C4—3321no—
1148C22×C4—3321no—
1149C22×C4—3321no—
1150C22×C4—3321no—
1151C22×C4—3321no—
1152C22×C4—33216no—
1153C22×C4—3321no—
1154C22×C4—3321no—
1155C22×C4—3321no—
1156C22×C4—3321no—
1157C22×C4—3321no—
1158C22×C4—3321no—
1159C22×C4—3321no—
1160C22×C4—3321no—
1161C22×C4—834no—
1162C22×C4—831no—
1163C22×C4—831no—
1164C22×C4—831no—
1165C22×C4—831no—
1166C22×C4—831no—
1167C22×C4—831no—
1168C22×C4—831no—
1169C22×C4—831no—
1170C22×C4—831no—
1171C22×C4—831no—
1172C22×C4—831no—
1173C22×C4—831no—
1174C22×C4—831no—
1175C22×C4—831no—
1176C22×C4—1662no—
1177C22×C4—1662no—
1178C22×C4—1662no—
1179C22×C4—1662no—
1180C22×C4—1662no—
1181C22×C4—1662no—
1182C22×C4—1662no—
1183C22×C4—1662no—
1184C22×C4—1662no—
1185C22×C4—1662no—
1186C22×C4—1662no—
1187C22×C4—1662no—
1188C22×C4—1662no—
1189C22×C4—1662no—
1190C22×C4—1662no—
1191C22×C4—1662no—
1192C22×C4—1662no—
1193C22×C4—1662no—
1194C22×C4—1662no—
1195C22×C4C23×D8311yescharacteristic
1196C22×C4C23×D8311yescharacteristic
1197C22×C4C23×D8311yescharacteristic
1198C22×C4C23×D8311yescharacteristic
1199C22×C4C23×D8311yescharacteristic
1200C22×C4C23×D8311yescharacteristic
1201C22×C4C23×D8311yescharacteristic
1202C22×C4C23×D8311yescharacteristic
1203C22×C4C23×D8311yescharacteristic
1204C22×C4C23×D8311yescharacteristic
1205C22×C4C23×D8311yescharacteristic
1206C22×C4C23×D8311yescharacteristic
1207C22×C4C23×D8311yescharacteristic
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—3321no—
1214C4⋊C4—3321no—
1215C4⋊C4—3321no—
1216C4⋊C4—3321no—
1217C4⋊C4—3321no—
1218C4⋊C4—3321no—
1219C4⋊C4—3321no—
1220C4⋊C4—3321no—
1221C4⋊C4—3321no—
1222C4⋊C4—3321no—
1223C4⋊C4—3321no—
1224C4⋊C4—3321no—
1225C4⋊C4—3321no—
1226C4⋊C4—3321no—
1227C4⋊C4—3321no—
1228C4⋊C4—3321no—
1229C4⋊C4—3321no—
1230C4⋊C4—3321no—
1231C4⋊C4—3321no—
1232C4⋊C4—1662no—
1233C4⋊C4—1662no—
1234C4⋊C4—1662no—
1235C4⋊C4—1662no—
1236C4⋊C4—1662no—
1237C4⋊C4—1662no—
1238C4⋊C4—1662no—
1239C4⋊C4—1662no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—3321no—
1249C22⋊C4—3321no—
1250C22⋊C4—3321no—
1251C22⋊C4—3321no—
1252C22⋊C4—3321no—
1253C22⋊C4—3321no—
1254C22⋊C4—3321no—
1255C22⋊C4—3321no—
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#1305058914yes—
1276C42—22no—
1277C42—41no—
1278C42—3321no—
1279C42—3321no—
1280C42—3321no—
1281C42—3321no—
1282C42—3321no—
1283C42—3321no—
1284C42—3321no—
1285C42—1662no—
1286C42—1662no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—3324no—
1299C23—3324no—
1300C23—3324no—
1301C23—3324no—
1302C23—3324no—
1303C23—832no—
1304C23—832no—
1305C23—832no—
1306C23—832no—
1307C23—1668no—
1308C23—1668no—
1309C23—1661no—
1310C23—1661no—
1311C23—1661no—
1312C23—1661no—
1313C23—1661no—
1314C23—1661no—
1315C23—1661no—
1316C23—1661no—
1317C23—1661no—
1318C23—1661no—
1319C23#41×D8312yes—
1320C23#41×D8312yes—
1321C23C2×#1305058912yes—
1322C23C24×D8311yescharacteristic
1323Q8—82no—
1324D4—44no—
1325D4—3324no—
1326D4—3324no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—44no—
1364C2×C4—44no—
1365C2×C4—82no—
1366C2×C4—3324no—
1367C2×C4—3324no—
1368C2×C4—3324no—
1369C2×C4—3324no—
1370C2×C4—3324no—
1371C2×C4—3324no—
1372C2×C4—3324no—
1373C2×C4—3324no—
1374C2×C4—3324no—
1375C2×C4—832no—
1376C2×C4—832no—
1377C2×C4—6642no—
1378C2×C4—6642no—
1379C2×C4—1668no—
1380C2×C4—1661no—
1381C2×C4—1661no—
1382C2×C4—1661no—
1383C2×C4—1661no—
1384C2×C4—1661no—
1385C2×C4—1661no—
1386C2×C4—1661no—
1387C2×C4—1661no—
1388C2×C4—1661no—
1389C2×C4—1661no—
1390C2×C4—1661no—
1391C2×C4—1661no—
1392C2×C4—1661no—
1393C2×C4—1661no—
1394C2×C4—1661no—
1395C2×C4—1661no—
1396C2×C4—1661no—
1397C2×C4—1661no—
1398C2×C4—1661no—
1399C2×C4—1661no—
1400C2×C4—1661no—
1401C2×C4—1661no—
1402C2×C4—1661no—
1403C2×C4—1661no—
1404C2×C4—1661no—
1405C2×C4—1661no—
1406C2×C4—1661no—
1407C2×C4—1661no—
1408C2×C4—1661no—
1409C2×C4—1661no—
1410C2×C4—1661no—
1411C2×C4—1661no—
1412C2×C4—1661no—
1413C2×C4—1661no—
1414C2×C4—1661no—
1415C2×C4—1661no—
1416C2×C4—1661no—
1417C2×C4—1661no—
1418C2×C4—1661no—
1419C2×C4—1661no—
1420C2×C4C2×#1305058912yes—
1421C2×C4C2×#1305058912yes—
1422C2×C4#1458183812yes—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—33216no—
1437C22—3321no—
1438C22—3321no—
1439C22—3321no—
1440C22—3321no—
1441C22—834no—
1442C22—1662no—
1443C22—1662no—
1444C22—1662no—
1445C22—1662no—
1446C22—1662no—
1447C22—1662no—
1448C22—1662no—
1449C22—1662no—
1450C22—1662no—
1451C22#1912823014yes—
1452C22C2×#41×D8311yescharacteristic
1453C22C2×#41×D8311yescharacteristic
1454C22C22×#1305058911yescharacteristic
1455C22H(5,𝔽2)×D8311yescharacteristic
1456C22C2×#1458183811yescharacteristic
1457C222−1+4×D8311yescharacteristic
1458C22#1912853711yescharacteristic
1459C4—22no—
1460C4—22no—
1461C4—22no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—3321no—
1473C4—3321no—
1474C4—3321no—
1475C4—3321no—
1476C4—3321no—
1477C4—3321no—
1478C4—3321no—
1479C4—3321no—
1480C4—3321no—
1481C4—3321no—
1482C4—3321no—
1483C4—3321no—
1484C4—1662no—
1485C4—1662no—
1486C2—24no—
1487C2—81no—
1488C2—3322no—
1489C2—1664no—
1490C2C2×#1912823011yescharacteristic
1491C2#539×D8311yescharacteristic
1492C2#2492087311yescharacteristic
1493C2#2492114711yescharacteristic
1494C2#2492120611yescharacteristic
1495C2#2492139211yescharacteristic
1496C2#2492150311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2488C2
prime radicalC2×#14581760C22
hypercenter#2488D83
hypocenterC83#34999
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
1. #24915804C2semidirect
2. #24915783C2semidirect
3. #24915777C2semidirect
4. #24915774C2semidirect
5. #24913523C2semidirect
6. #24913508C2semidirect
7. #24913508C2semidirect
8. #24913463C2semidirect
9. #24912193C2semidirect
10. #24912108C2semidirect
11. #24911957C2semidirect
12. #24911849C2semidirect
13. #24911848C2semidirect
14. #24911742C2semidirect
15. #24911726C2semidirect
16. #24911604C2semidirect
17. #24911497C2semidirect
18. #24911419C2semidirect
19. #24911280C2semidirect
20. #24911126C2semidirect
21. #24910933C2semidirect
24. #24910198C2semidirect
25. #24910135C2semidirect
26. #24910089C2semidirect
27. #24910064C2semidirect
29. C2×#19127575C2semidirect
30. C4×C22⋊C4×D83C2semidirect
31. C83×#2488C2semidirect
33. C2×#14581785C22semidirect
34. C2×#14581784C22semidirect
49. C83⋊#401C22semidirect
50. #19127643C22semidirect
51. #19127643C22semidirect
52. #19127643C22semidirect
53. #19127642C22semidirect
54. #19127642C22semidirect
55. #19127641C22semidirect
57. #19127635C22semidirect
58. #19127635C22semidirect
59. #19127635C22semidirect
63. #19127629C22semidirect
69. #19127624C22semidirect
77. #19127608C22semidirect
78. #19127608C22semidirect
79. #19127600C22semidirect
80. #19127600C22semidirect
81. #19127600C22semidirect
82. #19127600C22semidirect
83. #19127599C22semidirect
84. #19127595C22semidirect
85. #19127595C22semidirect
86. #19127594C22semidirect
87. #19127594C22semidirect
88. #19127589C22semidirect
89. #19127588C22semidirect
90. #19127587C22semidirect
91. #19127587C22semidirect
92. #19127587C22semidirect
93. #19127587C22semidirect
94. #19127587C22semidirect
95. #19127587C22semidirect
96. #19127586C22semidirect
97. #19127586C22semidirect
98. #19127586C22semidirect
99. #19127586C22semidirect
100. #19127586C22semidirect
101. #19127586C22semidirect
102. #19127586C22semidirect
103. #19127585C22semidirect
104. #19127585C22semidirect
105. #19127584C22semidirect
106. #19127584C22semidirect
107. #19127584C22semidirect
108. #19127584C22semidirect
109. #19127584C22semidirect
110. #19127583C22semidirect
111. #19127583C22semidirect
122. #19127576C22semidirect
123. #19127576C22semidirect
142. #19127568C22semidirect
143. #19127568C22semidirect
144. #19127565C22semidirect
150. #19127562C22semidirect
154. #19127559C22semidirect
174. #400×C83C22semidirect
175. #400×C83C22semidirect
176. #397×C83C22semidirect
177. #393×C83C22semidirect
178. #391×C83C22semidirect
179. #388×C83C22semidirect
180. #388×C83C22semidirect
183. #382×C83C22semidirect
762. #2488D83semidirect
780. C83#34999semidirect
807. #400C2×D83semidirect
808. #400C2×D83semidirect
822. #397C2×D83semidirect
831. #393C2×D83semidirect
834. #391C2×D83semidirect
845. #388C2×D83semidirect
846. #388C2×D83semidirect
905. #382C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249158042
#249157832
#249157772
#249157742
#249135232
#249135082
#249134632
#249121932
#249121082
#249119572
#249118492
#249118482
#249117422
#249117262
#249116042
#249114972
#249114192
#249112802
#249111262
#249109332
#249108582
#249108552
#249101982
#249101352
#249100892
#249100642
#249099682
C2×#191275752
C4×C22⋊C4×D832
C83×#24882
#3499983