Finite Group Databasebeta

← C83×#36777 #35264601

Subgroups — C83×#36777 #35264601

Order 21248.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C83×#2849C211yesmaximal, characteristic, complemented
2C83×#2847C211yesmaximal, characteristic, complemented
3C83×#2780C211yesmaximal, characteristic, complemented
4C83×#2780C211yesmaximal, characteristic, complemented
5C83×#2768C211yesmaximal, characteristic, complemented
6C83×#2761C211yesmaximal, characteristic, complemented
7C83×#2753C211yesmaximal, characteristic, complemented
8C83×#2749C211yesmaximal, characteristic, complemented
9C83×#2748C211yesmaximal, characteristic, complemented
10C83×#2743C211yesmaximal, characteristic, complemented
11C83×#2738C211yesmaximal, characteristic, complemented
12C83×#2711C211yesmaximal, characteristic, complemented
13C83×#2707C211yesmaximal, characteristic, complemented
14C83×#2706C211yesmaximal, characteristic, complemented
15C83×#2701C211yesmaximal, characteristic, complemented
16C83×#2701C211yesmaximal, characteristic, complemented
17C83×#2688C211yesmaximal, characteristic, complemented
18C83×#2671C211yesmaximal, characteristic, complemented
19C83×#2623C211yesmaximal, characteristic, complemented
20C83×#2618C211yesmaximal, characteristic, complemented
21C83×#2539C211yesmaximal, characteristic, complemented
22C83×#2534C211yesmaximal, characteristic, complemented
23C83×#2442C211yesmaximal, characteristic, complemented
24C83×#2425C211yesmaximal, characteristic, complemented
25C83×#2424C211yesmaximal, characteristic, complemented
26C83×#2419C211yesmaximal, characteristic, complemented
27C83×#2418C211yesmaximal, characteristic, complemented
28C83×#2416C211yesmaximal, characteristic, complemented
29C83×#2325C211yesmaximal, characteristic, complemented
30C83×#2318C211yesmaximal, characteristic, complemented
31C2×#385×C83C211yesmaximal, characteristic, complemented
32C24×C4×C83C2211yescharacteristic
33C2×#125×C83C2211yescharacteristic, complemented
34C2×#123×C83C2211yescharacteristic
35C2×#123×C83C2211yescharacteristic
36C2×#123×C83C2211yescharacteristic
37C2×#123×C83C2211yescharacteristic
38C2×#123×C83C2211yescharacteristic
39C2×#123×C83C2211yescharacteristic
40C2×#121×C83C2211yescharacteristic
41C2×#121×C83C2211yescharacteristic
42C2×#121×C83C2211yescharacteristic
43C2×#121×C83C2211yescharacteristic
44C2×#121×C83C2211yescharacteristic
45C2×#121×C83C2211yescharacteristic
46C2×#121×C83C2211yescharacteristic, complemented
47C2×#120×C83C2211yescharacteristic
48C2×#120×C83C2211yescharacteristic
49C2×#120×C83C2211yescharacteristic
50C2×C4×D4×C83C2211yescharacteristic
51C2×C4×D4×C83C2211yescharacteristic
52C2×C4×D4×C83C2211yescharacteristic
53C22×C4⋊C4×C83C2211yescharacteristic
54C22×C4⋊C4×C83C2211yescharacteristic
55C22×C22⋊C4×C83C2211yescharacteristic
56C22×C22⋊C4×C83C2211yescharacteristic
57#400×C83C2211yescharacteristic, complemented
58#400×C83C2211yescharacteristic, complemented
59#400×C83C2211yescharacteristic, complemented
60#400×C83C2211yescharacteristic, complemented
61#400×C83C2211yescharacteristic, complemented
62#399×C83C2211yescharacteristic
63#399×C83C2211yescharacteristic
64#399×C83C2211yescharacteristic
65#399×C83C2211yescharacteristic, complemented
66#399×C83C2211yescharacteristic, complemented
67#398×C83C2211yescharacteristic, complemented
68#398×C83C2211yescharacteristic, complemented
69#398×C83C2211yescharacteristic, complemented
70#398×C83C2211yescharacteristic, complemented
71#398×C83C2211yescharacteristic, complemented
72#398×C83C2211yescharacteristic, complemented
73#398×C83C2211yescharacteristic, complemented
74#398×C83C2211yescharacteristic, complemented
75#397×C83C2211yescharacteristic
76#397×C83C2211yescharacteristic, complemented
77#397×C83C2211yescharacteristic, complemented
78#397×C83C2211yescharacteristic, complemented
79#397×C83C2211yescharacteristic, complemented
80#397×C83C2211yescharacteristic, complemented
81#396×C83C2211yescharacteristic
82#396×C83C2211yescharacteristic
83#396×C83C2211yescharacteristic
84#396×C83C2211yescharacteristic, complemented
85#396×C83C2211yescharacteristic, complemented
86#396×C83C2211yescharacteristic, complemented
87#396×C83C2211yescharacteristic, complemented
88#396×C83C2211yescharacteristic, complemented
89#396×C83C2211yescharacteristic, complemented
90#396×C83C2211yescharacteristic, complemented
91#394×C83C2211yescharacteristic
92#394×C83C2211yescharacteristic
93#394×C83C2211yescharacteristic
94#394×C83C2211yescharacteristic
95#394×C83C2211yescharacteristic
96#394×C83C2211yescharacteristic
97#394×C83C2211yescharacteristic, complemented
98#394×C83C2211yescharacteristic, complemented
99#394×C83C2211yescharacteristic, complemented
100#394×C83C2211yescharacteristic, complemented
101#394×C83C2211yescharacteristic, complemented
102#392×C83C2211yescharacteristic
103#392×C83C2211yescharacteristic
104#392×C83C2211yescharacteristic
105#390×C83C2211yescharacteristic
106#390×C83C2211yescharacteristic
107#390×C83C2211yescharacteristic
108#390×C83C2211yescharacteristic
109#390×C83C2211yescharacteristic
110#390×C83C2211yescharacteristic, complemented
111#389×C83C2211yescharacteristic, complemented
112#389×C83C2211yescharacteristic, complemented
113#389×C83C2211yescharacteristic, complemented
114#389×C83C2211yescharacteristic, complemented
115#388×C83C2211yescharacteristic
116#388×C83C2211yescharacteristic
117#388×C83C2211yescharacteristic
118#388×C83C2211yescharacteristic
119#388×C83C2211yescharacteristic
120#388×C83C2211yescharacteristic, complemented
121#388×C83C2211yescharacteristic, complemented
122#388×C83C2211yescharacteristic, complemented
123#388×C83C2211yescharacteristic, complemented
124#388×C83C2211yescharacteristic, complemented
125#387×C83C2211yescharacteristic, complemented
126#387×C83C2211yescharacteristic, complemented
127#387×C83C2211yescharacteristic, complemented
128#387×C83C2211yescharacteristic, complemented
129#387×C83C2211yescharacteristic, complemented
130#387×C83C2211yescharacteristic, complemented
131#386×C83C2211yescharacteristic
132#386×C83C2211yescharacteristic
133#386×C83C2211yescharacteristic
134#386×C83C2211yescharacteristic
135#386×C83C2211yescharacteristic
136#386×C83C2211yescharacteristic
137#386×C83C2211yescharacteristic
138#386×C83C2211yescharacteristic
139#386×C83C2211yescharacteristic
140#386×C83C2211yescharacteristic
141#386×C83C2211yescharacteristic
142#386×C83C2211yescharacteristic
143#386×C83C2211yescharacteristic
144#386×C83C2211yescharacteristic
145#386×C83C2211yescharacteristic
146#386×C83C2211yescharacteristic
147#386×C83C2211yescharacteristic, complemented
148#386×C83C2211yescharacteristic, complemented
149#386×C83C2211yescharacteristic, complemented
150#385×C83C2211yescharacteristic
151#385×C83C2211yescharacteristic
152#385×C83C2211yescharacteristic
153#385×C83C2211yescharacteristic
154#385×C83C2211yescharacteristic
155#385×C83C2211yescharacteristic
156#385×C83C2211yescharacteristic
157#385×C83C2211yescharacteristic
158#385×C83C2211yescharacteristic
159#385×C83C2211yescharacteristic
160#385×C83C2211yescharacteristic
161#385×C83C2211yescharacteristic
162#385×C83C2211yescharacteristic
163#385×C83C2211yescharacteristic
164#385×C83C2211yescharacteristic, complemented
165#385×C83C2211yescharacteristic, complemented
166#385×C83C2211yescharacteristic, complemented
167#383×C83C2211yescharacteristic, complemented
168#382×C83C2211yescharacteristic, complemented
169#382×C83C2211yescharacteristic, complemented
170#381×C83C2211yescharacteristic
171#381×C83C2211yescharacteristic
172#381×C83C2211yescharacteristic
173#381×C83C2211yescharacteristic, complemented
174#381×C83C2211yescharacteristic, complemented
175#380×C83C2211yescharacteristic
176#380×C83C2211yescharacteristic
177#380×C83C2211yescharacteristic
178#380×C83C2211yescharacteristic
179#380×C83C2211yescharacteristic
180#380×C83C2211yescharacteristic, complemented
181#380×C83C2211yescharacteristic, complemented
182#380×C83C2211yescharacteristic, complemented
183#379×C83C2211yescharacteristic
184C4×C22⋊C4×C83C2211yescharacteristic
185C2×#95×C83C2211yescharacteristic
186C2×#95×C83C2211yescharacteristic
187C25×C83C2311yescharacteristic
188C22×D4×C83C2311yescharacteristic
189C22×D4×C83C2311yescharacteristic
190C22×D4×C83C2311yescharacteristic
191C22×D4×C83C2311yescharacteristic
192C22×D4×C83C2311yescharacteristic
193C22×D4×C83C2311yescharacteristic
194C22×D4×C83C2311yescharacteristic
195C22×D4×C83C2311yescharacteristic
196C22×D4×C83C2311yescharacteristic
197C22×D4×C83C2311yescharacteristic
198C22×D4×C83C2311yescharacteristic
199C22×D4×C83C2311yescharacteristic
200C23×C4×C83—42no—
201C23×C4×C83—42no—
202C23×C4×C83—42no—
203C23×C4×C83C2311yescharacteristic
204C23×C4×C83C2311yescharacteristic
205C23×C4×C83C2311yescharacteristic
206C23×C4×C83C2311yescharacteristic
207C23×C4×C83C2311yescharacteristic
208C23×C4×C83C2311yescharacteristic
209C23×C4×C83C2311yescharacteristic
210C23×C4×C83C2311yescharacteristic
211C23×C4×C83C2311yescharacteristic
212C23×C4×C83C2311yescharacteristic
213C23×C4×C83C2311yescharacteristic
214C23×C4×C83C2311yescharacteristic
215C23×C4×C83C2311yescharacteristic
216#125×C83—42no—
217#123×C83—42no—
218#123×C83—42no—
219#123×C83—42no—
220#123×C83—42no—
221#123×C83—42no—
222#123×C83—42no—
223#121×C83—24no—
224#121×C83—42no—
225#121×C83—42no—
226#121×C83—42no—
227#121×C83—42no—
228#121×C83—42no—
229#121×C83—42no—
230#120×C83—42no—
231#120×C83—42no—
232#120×C83—42no—
233C4×D4×C83—24no—
234C4×D4×C83—42no—
235C4×D4×C83—42no—
236C2×C4⋊C4×C83—42no—
237C2×C4⋊C4×C83—42no—
238C2×C4⋊C4×C83C2311yescharacteristic
239C2×C4⋊C4×C83C2311yescharacteristic
240C2×C4⋊C4×C83C2311yescharacteristic
241C2×C4⋊C4×C83C2311yescharacteristic
242C2×C4⋊C4×C83C2311yescharacteristic
243C2×C4⋊C4×C83C2311yescharacteristic
244C2×C4⋊C4×C83C2311yescharacteristic
245C2×C4⋊C4×C83C2311yescharacteristic
246C2×C4⋊C4×C83C2311yescharacteristic
247C2×C4⋊C4×C83C2311yescharacteristic
248C2×C4⋊C4×C83C2311yescharacteristic
249C2×C4⋊C4×C83C2311yescharacteristic
250C2×C4⋊C4×C83C2311yescharacteristic
251C2×C4⋊C4×C83C2311yescharacteristic
252C2×C4⋊C4×C83C2311yescharacteristic
253C2×C4⋊C4×C83C2311yescharacteristic
254C2×C4⋊C4×C83C2311yescharacteristic
255C2×C4⋊C4×C83C2311yescharacteristic
256C2×C4⋊C4×C83C2311yescharacteristic
257C2×C4⋊C4×C83C2311yescharacteristic
258C2×C4⋊C4×C83C2311yescharacteristic
259C2×C4⋊C4×C83C2311yescharacteristic
260C2×C4⋊C4×C83C2311yescharacteristic
261C2×C4⋊C4×C83C2311yescharacteristic
262C2×C4⋊C4×C83C2311yescharacteristic
263C2×C4⋊C4×C83C2311yescharacteristic
264C2×C4⋊C4×C83C2311yescharacteristic
265C2×C4⋊C4×C83C2311yescharacteristic
266C2×C4⋊C4×C83C2311yescharacteristic
267C2×C4⋊C4×C83C2311yescharacteristic
268C2×C4⋊C4×C83C2311yescharacteristic
269C2×C4⋊C4×C83C2311yescharacteristic
270C2×C4⋊C4×C83C2311yescharacteristic
271C2×C4⋊C4×C83C2311yescharacteristic
272C2×C22⋊C4×C83—24no—
273C2×C22⋊C4×C83—42no—
274C2×C22⋊C4×C83C2311yescharacteristic
275C2×C22⋊C4×C83C2311yescharacteristic
276C2×C22⋊C4×C83C2311yescharacteristic
277C2×C22⋊C4×C83C2311yescharacteristic
278C2×C22⋊C4×C83C2311yescharacteristic
279C2×C22⋊C4×C83C2311yescharacteristic
280C2×C22⋊C4×C83C2311yescharacteristic
281C2×C22⋊C4×C83C2311yescharacteristic
282C2×C22⋊C4×C83C2311yescharacteristic
283C2×C22⋊C4×C83C2311yescharacteristic
284C2×C22⋊C4×C83C2311yescharacteristic
285C2×C22⋊C4×C83C2311yescharacteristic
286C2×C22⋊C4×C83C2311yescharacteristic
287C2×C22⋊C4×C83C2311yescharacteristic
288C2×C22⋊C4×C83C2311yescharacteristic
289C2×C22⋊C4×C83C2311yescharacteristic
290C2×C22⋊C4×C83C2311yescharacteristic
291C2×C22⋊C4×C83C2311yescharacteristic
292C2×C22⋊C4×C83C2311yescharacteristic
293C2×C22⋊C4×C83C2311yescharacteristic
294C2×C22⋊C4×C83C2311yescharacteristic
295C2×C22⋊C4×C83C2311yescharacteristic
296C2×C22⋊C4×C83C2311yescharacteristic
297C2×C22⋊C4×C83C2311yescharacteristic
298C2×C22⋊C4×C83C2311yescharacteristic
299C2×C22⋊C4×C83C2311yescharacteristic
300C2×C22⋊C4×C83C2311yescharacteristic
301C2×C22⋊C4×C83C2311yescharacteristic
302C2×C22⋊C4×C83C2311yescharacteristic
303C2×C22⋊C4×C83C2311yescharacteristic
304C2×C22⋊C4×C83C2311yescharacteristic
305C2×C22⋊C4×C83C2311yescharacteristic
306C2×C22⋊C4×C83C2311yescharacteristic
307C2×C22⋊C4×C83C2311yescharacteristic
308C2×C22⋊C4×C83C2311yescharacteristic
309C2×C22⋊C4×C83C2311yescharacteristic
310C2×C22⋊C4×C83C2311yescharacteristic
311C2×C22⋊C4×C83C2311yescharacteristic
312C2×C22⋊C4×C83C2311yescharacteristic
313C2×C22⋊C4×C83C2311yescharacteristic
314C2×C22⋊C4×C83C2311yescharacteristic
315C2×C22⋊C4×C83C2311yescharacteristic
316C2×C22⋊C4×C83C2311yescharacteristic
317C2×C22⋊C4×C83C2311yescharacteristic
318C2×C22⋊C4×C83C2311yescharacteristic
319C2×C22⋊C4×C83C2311yescharacteristic
320C2×C22⋊C4×C83C2311yescharacteristic
321C2×C22⋊C4×C83C2311yescharacteristic
322C2×C22⋊C4×C83C2311yescharacteristic
323C2×C22⋊C4×C83C2311yescharacteristic
324C2×C42×C83C2311yescharacteristic
325C2×C42×C83C2311yescharacteristic
326C2×C42×C83C2311yescharacteristic
327C2×C42×C83C2311yescharacteristic
328C2×C42×C83C2311yescharacteristic
329#95×C83C2311yescharacteristic
330#95×C83C2311yescharacteristic
331#95×C83C2311yescharacteristic
332#95×C83C2311yescharacteristic
333#95×C83C2311yescharacteristic
334#95×C83C2311yescharacteristic
335#95×C83C2311yescharacteristic
336#95×C83C2311yescharacteristic
337#95×C83C2311yescharacteristic
338#95×C83C2311yescharacteristic
339#95×C83C2311yescharacteristic
340#95×C83C2311yescharacteristic
341#95×C83C2311yescharacteristic
342#95×C83C2311yescharacteristic
343#95×C83C2311yescharacteristic
344#95×C83C2311yescharacteristic
345#95×C83C2311yescharacteristic
346#95×C83C2311yescharacteristic
347#95×C83C2311yescharacteristic
348#95×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
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369C24×C83—22no—
370C24×C83—22no—
371C24×C83—22no—
372C24×C83—22no—
373C24×C83—22no—
374C24×C83—41no—
375C24×C83—41no—
376C24×C83C2411yescharacteristic
377C24×C83C2411yescharacteristic
378C24×C83C2411yescharacteristic
379C24×C83C2411yescharacteristic
380C24×C83C2411yescharacteristic
381C24×C83C2411yescharacteristic
382C2×D4×C83—22no—
383C2×D4×C83—22no—
384C2×D4×C83—22no—
385C2×D4×C83—22no—
386C2×D4×C83—22no—
387C2×D4×C83—22no—
388C2×D4×C83—22no—
389C2×D4×C83—22no—
390C2×D4×C83—22no—
391C2×D4×C83—22no—
392C2×D4×C83—22no—
393C2×D4×C83—22no—
394C2×D4×C83—22no—
395C2×D4×C83—22no—
396C2×D4×C83—22no—
397C2×D4×C83—22no—
398C2×D4×C83—22no—
399C2×D4×C83—41no—
400C2×D4×C83—41no—
401C2×D4×C83—41no—
402C2×D4×C83—41no—
403C2×D4×C83—41no—
404C2×D4×C83—41no—
405C2×D4×C83—41no—
406C2×D4×C83—41no—
407C2×D4×C83—41no—
408C2×D4×C83—41no—
409C2×D4×C83—41no—
410C2×D4×C83—41no—
411C2×D4×C83—41no—
412C2×D4×C83—41no—
413C2×D4×C83—41no—
414C2×D4×C83—41no—
415C2×D4×C83—41no—
416C2×D4×C83—41no—
417C2×D4×C83—41no—
418C22×C4×C83—22no—
419C22×C4×C83—22no—
420C22×C4×C83—22no—
421C22×C4×C83—22no—
422C22×C4×C83—22no—
423C22×C4×C83—22no—
424C22×C4×C83—22no—
425C22×C4×C83—22no—
426C22×C4×C83—22no—
427C22×C4×C83—22no—
428C22×C4×C83—22no—
429C22×C4×C83—22no—
430C22×C4×C83—22no—
431C22×C4×C83—41no—
432C22×C4×C83—41no—
433C22×C4×C83—41no—
434C22×C4×C83—41no—
435C22×C4×C83—41no—
436C22×C4×C83—41no—
437C22×C4×C83—41no—
438C22×C4×C83—41no—
439C22×C4×C83—41no—
440C22×C4×C83—41no—
441C22×C4×C83—41no—
442C22×C4×C83—41no—
443C22×C4×C83—41no—
444C22×C4×C83—41no—
445C22×C4×C83—41no—
446C22×C4×C83—41no—
447C22×C4×C83—41no—
448C22×C4×C83—41no—
449C22×C4×C83—41no—
450C22×C4×C83—41no—
451C22×C4×C83—41no—
452C22×C4×C83—41no—
453C22×C4×C83—41no—
454C22×C4×C83—41no—
455C22×C4×C83—41no—
456C22×C4×C83—416no—
457C22×C4×C83#4114yes—
458C22×C4×C83C2411yescharacteristic
459C22×C4×C83C2411yescharacteristic
460C22×C4×C83C2411yescharacteristic
461C22×C4×C83C2411yescharacteristic
462C22×C4×C83C2411yescharacteristic
463C22×C4×C83C2411yescharacteristic
464C22×C4×C83C2411yescharacteristic
465C22×C4×C83C2411yescharacteristic
466C22×C4×C83C2411yescharacteristic
467C22×C4×C83C2411yescharacteristic
468C22×C4×C83C2411yescharacteristic
469C22×C4×C83C2411yescharacteristic
470C22×C4×C83C2411yescharacteristic
471C22×C4×C83C2411yescharacteristic
472C22×C4×C83C2411yescharacteristic
473C22×C4×C83C2411yescharacteristic
474C22×C4×C83C2411yescharacteristic
475C22×C4×C83C2411yescharacteristic
476C22×C4×C83C2411yescharacteristic
477C22×C4×C83C2411yescharacteristic
478C22×C4×C83C2411yescharacteristic
479C22×C4×C83C2411yescharacteristic
480C22×C4×C83C2411yescharacteristic
481C22×C4×C83C2411yescharacteristic
482C22×C4×C83C2411yescharacteristic
483C4⋊C4×C83—22no—
484C4⋊C4×C83—22no—
485C4⋊C4×C83—22no—
486C4⋊C4×C83—22no—
487C4⋊C4×C83—22no—
488C4⋊C4×C83—22no—
489C4⋊C4×C83—41no—
490C4⋊C4×C83—41no—
491C4⋊C4×C83—41no—
492C4⋊C4×C83—41no—
493C4⋊C4×C83—41no—
494C4⋊C4×C83—41no—
495C4⋊C4×C83—41no—
496C4⋊C4×C83—41no—
497C4⋊C4×C83—41no—
498C4⋊C4×C83—41no—
499C4⋊C4×C83—41no—
500C4⋊C4×C83—41no—
501C4⋊C4×C83—41no—
502C4⋊C4×C83—41no—
503C4⋊C4×C83—41no—
504C4⋊C4×C83—41no—
505C4⋊C4×C83—41no—
506C4⋊C4×C83—41no—
507C4⋊C4×C83—41no—
508C4⋊C4×C83—41no—
509C4⋊C4×C83—41no—
510C4⋊C4×C83—41no—
511C4⋊C4×C83—41no—
512C4⋊C4×C83—41no—
513C4⋊C4×C83—41no—
514C4⋊C4×C83—41no—
515C4⋊C4×C83—41no—
516C4⋊C4×C83—41no—
517C22⋊C4×C83—22no—
518C22⋊C4×C83—22no—
519C22⋊C4×C83—22no—
520C22⋊C4×C83—22no—
521C22⋊C4×C83—22no—
522C22⋊C4×C83—22no—
523C22⋊C4×C83—22no—
524C22⋊C4×C83—22no—
525C22⋊C4×C83—22no—
526C22⋊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—22no—
533C22⋊C4×C83—22no—
534C22⋊C4×C83—41no—
535C22⋊C4×C83—41no—
536C22⋊C4×C83—41no—
537C22⋊C4×C83—41no—
538C22⋊C4×C83—41no—
539C22⋊C4×C83—41no—
540C22⋊C4×C83—41no—
541C22⋊C4×C83—41no—
542C22⋊C4×C83—41no—
543C22⋊C4×C83—41no—
544C22⋊C4×C83—41no—
545C22⋊C4×C83—41no—
546C22⋊C4×C83—41no—
547C22⋊C4×C83—41no—
548C22⋊C4×C83—41no—
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—
558C22⋊C4×C83—41no—
559C22⋊C4×C83—41no—
560C22⋊C4×C83—41no—
561C22⋊C4×C83—41no—
562C22⋊C4×C83—41no—
563C22⋊C4×C83—41no—
564C22⋊C4×C83—41no—
565C22⋊C4×C83—41no—
566C22⋊C4×C83—41no—
567C42×C83—22no—
568C42×C83—41no—
569C42×C83—41no—
570C42×C83—41no—
571C42×C83—41no—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—28no—
577C23×C83—21no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
581C23×C83—21no—
582C23×C83—21no—
583C23×C83—21no—
584C23×C83—21no—
585C23×C83—21no—
586C23×C83—21no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83—21no—
599C23×C83—21no—
600C23×C83—21no—
601C23×C83—21no—
602C23×C83—21no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—44no—
611C23×C83—44no—
612C23×C83—44no—
613C23×C83—44no—
614C23×C83—44no—
615C23×C83—44no—
616C23×C83C2×#4112yes—
617C23×C83H(5,𝔽2)12yes—
618C23×C83H(5,𝔽2)12yes—
619C23×C83H(5,𝔽2)12yes—
620C23×C832−1+412yes—
621C23×C83C2511yescharacteristic
622D4×C83—44no—
623D4×C83—44no—
624D4×C83—44no—
625D4×C83—82no—
626D4×C83—82no—
627D4×C83—82no—
628D4×C83—82no—
629D4×C83—82no—
630D4×C83—82no—
631D4×C83—82no—
632D4×C83—82no—
633D4×C83—82no—
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—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—21no—
679C2×C4×C83—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—21no—
685C2×C4×C83—21no—
686C2×C4×C83—21no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—21no—
690C2×C4×C83—21no—
691C2×C4×C83—21no—
692C2×C4×C83—21no—
693C2×C4×C83—21no—
694C2×C4×C83—21no—
695C2×C4×C83—21no—
696C2×C4×C83—21no—
697C2×C4×C83—21no—
698C2×C4×C83—21no—
699C2×C4×C83—21no—
700C2×C4×C83—21no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—44no—
707C2×C4×C83—44no—
708C2×C4×C83—44no—
709C2×C4×C83—44no—
710C2×C4×C83—44no—
711C2×C4×C83—44no—
712C2×C4×C83—44no—
713C2×C4×C83—44no—
714C2×C4×C83—82no—
715C2×C4×C83—82no—
716C2×C4×C83—82no—
717C2×C4×C83—82no—
718C2×C4×C83—82no—
719C2×C4×C83C2×#4112yes—
720C2×C4×C83C2×#4112yes—
721C2×C4×C83H(5,𝔽2)12yes—
722C22×C83—22no—
723C22×C83—22no—
724C22×C83—22no—
725C22×C83—22no—
726C22×C83—22no—
727C22×C83—22no—
728C22×C83—22no—
729C22×C83—22no—
730C22×C83—22no—
731C22×C83—22no—
732C22×C83—22no—
733C22×C83—22no—
734C22×C83—416no—
735C22×C83—41no—
736C22×C83—41no—
737C22×C83—41no—
738C22×C83—41no—
739C22×C83—41no—
740C22×C83—41no—
741C22×C83—41no—
742C22×C83—41no—
743C22×C83—41no—
744C22×C83—41no—
745C22×C83—41no—
746C22×C83—41no—
747C22×C83—41no—
748C22×C83—41no—
749C22×C83—41no—
750C22×C83—41no—
751C22×C83—41no—
752C22×C83—41no—
753C22×C83—41no—
754C22×C83—41no—
755C22×C83—41no—
756C22×C83—41no—
757C22×C83—41no—
758C22×C83—41no—
759C22×C83—41no—
760C22×C83—41no—
761C22×C83—41no—
762C22×C83—41no—
763C22×C83—41no—
764C22×C83#54014yes—
765C22×C83C22×#4111yescharacteristic
766C22×C83C2×H(5,𝔽2)11yescharacteristic
767C22×C83C2×H(5,𝔽2)11yescharacteristic
768C22×C83C2×H(5,𝔽2)11yescharacteristic
769C22×C83C2×H(5,𝔽2)11yescharacteristic
770C22×C83C2×2−1+411yescharacteristic
771C22×C83#58511yescharacteristic
772C4×C83—22no—
773C4×C83—22no—
774C4×C83—22no—
775C4×C83—41no—
776C4×C83—41no—
777C4×C83—41no—
778C4×C83—41no—
779C4×C83—41no—
780C4×C83—41no—
781C4×C83—41no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788C4×C83—41no—
789C4×C83—41no—
790C4×C83—41no—
791C4×C83—41no—
792C4×C83—41no—
793C4×C83—41no—
794C4×C83—41no—
795C4×C83—41no—
796C4×C83—41no—
797#36777C8311yesmaximal, characteristic, direct product factor, Sylow
798C2×C83—24no—
799C2×C83—42no—
800C2×C83—42no—
801C2×C83—81no—
802C2×C83—81no—
803C2×C83—81no—
804C2×C83C2×#54011yescharacteristic
805C2×C83#349211yescharacteristic
806C2×C83#350511yescharacteristic
807C2×C83#353211yescharacteristic
808C2×C83#353411yescharacteristic
809C2×C83#353511yescharacteristic
810C2×C83#353611yescharacteristic
811#2849C2×C8311yescharacteristic, complemented
812#2847C2×C8311yescharacteristic, complemented
813#2780C2×C8311yescharacteristic, complemented
814#2780C2×C8311yescharacteristic, complemented
815#2768C2×C8311yescharacteristic, complemented
816#2761C2×C8311yescharacteristic, complemented
817#2753C2×C8311yescharacteristic, complemented
818#2749C2×C8311yescharacteristic, complemented
819#2748C2×C8311yescharacteristic, complemented
820#2743C2×C8311yescharacteristic, complemented
821#2738C2×C8311yescharacteristic, complemented
822#2711C2×C8311yescharacteristic, complemented
823#2707C2×C8311yescharacteristic, complemented
824#2706C2×C8311yescharacteristic, complemented
825#2701C2×C8311yescharacteristic, complemented
826#2701C2×C8311yescharacteristic, complemented
827#2688C2×C8311yescharacteristic, complemented
828#2671C2×C8311yescharacteristic, complemented
829#2623C2×C8311yescharacteristic, complemented
830#2618C2×C8311yescharacteristic, complemented
831#2539C2×C8311yescharacteristic, complemented
832#2534C2×C8311yescharacteristic, complemented
833#2442C2×C8311yescharacteristic, complemented
834#2425C2×C8311yescharacteristic, complemented
835#2424C2×C8311yescharacteristic, complemented
836#2419C2×C8311yescharacteristic, complemented
837#2418C2×C8311yescharacteristic, complemented
838#2416C2×C8311yescharacteristic, complemented
839#2325C2×C8311yescharacteristic, complemented
840#2318C2×C8311yescharacteristic, complemented
841C2×#385C2×C8311yescharacteristic, complemented
842C83#3677711yescharacteristic, direct product factor, Sylow
843C24×C4C22×C8311yescharacteristic
844C2×#125C22×C8311yescharacteristic, complemented
845C2×#123C22×C8311yescharacteristic
846C2×#123C22×C8311yescharacteristic
847C2×#123C22×C8311yescharacteristic
848C2×#123C22×C8311yescharacteristic
849C2×#123C22×C8311yescharacteristic
850C2×#123C22×C8311yescharacteristic
851C2×#121C22×C8311yescharacteristic
852C2×#121C22×C8311yescharacteristic
853C2×#121C22×C8311yescharacteristic
854C2×#121C22×C8311yescharacteristic
855C2×#121C22×C8311yescharacteristic
856C2×#121C22×C8311yescharacteristic
857C2×#121C22×C8311yescharacteristic, complemented
858C2×#120C22×C8311yescharacteristic
859C2×#120C22×C8311yescharacteristic
860C2×#120C22×C8311yescharacteristic
861C2×C4×D4C22×C8311yescharacteristic
862C2×C4×D4C22×C8311yescharacteristic
863C2×C4×D4C22×C8311yescharacteristic
864C22×C4⋊C4C22×C8311yescharacteristic
865C22×C4⋊C4C22×C8311yescharacteristic
866C22×C22⋊C4C22×C8311yescharacteristic
867C22×C22⋊C4C22×C8311yescharacteristic
868#400C22×C8311yescharacteristic, complemented
869#400C22×C8311yescharacteristic, complemented
870#400C22×C8311yescharacteristic, complemented
871#400C22×C8311yescharacteristic, complemented
872#400C22×C8311yescharacteristic, complemented
873#399C22×C8311yescharacteristic
874#399C22×C8311yescharacteristic
875#399C22×C8311yescharacteristic
876#399C22×C8311yescharacteristic, complemented
877#399C22×C8311yescharacteristic, complemented
878#398C22×C8311yescharacteristic, complemented
879#398C22×C8311yescharacteristic, complemented
880#398C22×C8311yescharacteristic, complemented
881#398C22×C8311yescharacteristic, complemented
882#398C22×C8311yescharacteristic, complemented
883#398C22×C8311yescharacteristic, complemented
884#398C22×C8311yescharacteristic, complemented
885#398C22×C8311yescharacteristic, complemented
886#397C22×C8311yescharacteristic
887#397C22×C8311yescharacteristic, complemented
888#397C22×C8311yescharacteristic, complemented
889#397C22×C8311yescharacteristic, complemented
890#397C22×C8311yescharacteristic, complemented
891#397C22×C8311yescharacteristic, complemented
892#396C22×C8311yescharacteristic
893#396C22×C8311yescharacteristic
894#396C22×C8311yescharacteristic
895#396C22×C8311yescharacteristic, complemented
896#396C22×C8311yescharacteristic, complemented
897#396C22×C8311yescharacteristic, complemented
898#396C22×C8311yescharacteristic, complemented
899#396C22×C8311yescharacteristic, complemented
900#396C22×C8311yescharacteristic, complemented
901#396C22×C8311yescharacteristic, complemented
902#394C22×C8311yescharacteristic
903#394C22×C8311yescharacteristic
904#394C22×C8311yescharacteristic
905#394C22×C8311yescharacteristic
906#394C22×C8311yescharacteristic
907#394C22×C8311yescharacteristic
908#394C22×C8311yescharacteristic, complemented
909#394C22×C8311yescharacteristic, complemented
910#394C22×C8311yescharacteristic, complemented
911#394C22×C8311yescharacteristic, complemented
912#394C22×C8311yescharacteristic, complemented
913#392C22×C8311yescharacteristic
914#392C22×C8311yescharacteristic
915#392C22×C8311yescharacteristic
916#390C22×C8311yescharacteristic
917#390C22×C8311yescharacteristic
918#390C22×C8311yescharacteristic
919#390C22×C8311yescharacteristic
920#390C22×C8311yescharacteristic
921#390C22×C8311yescharacteristic, complemented
922#389C22×C8311yescharacteristic, complemented
923#389C22×C8311yescharacteristic, complemented
924#389C22×C8311yescharacteristic, complemented
925#389C22×C8311yescharacteristic, complemented
926#388C22×C8311yescharacteristic
927#388C22×C8311yescharacteristic
928#388C22×C8311yescharacteristic
929#388C22×C8311yescharacteristic
930#388C22×C8311yescharacteristic
931#388C22×C8311yescharacteristic, complemented
932#388C22×C8311yescharacteristic, complemented
933#388C22×C8311yescharacteristic, complemented
934#388C22×C8311yescharacteristic, complemented
935#388C22×C8311yescharacteristic, complemented
936#387C22×C8311yescharacteristic, complemented
937#387C22×C8311yescharacteristic, complemented
938#387C22×C8311yescharacteristic, complemented
939#387C22×C8311yescharacteristic, complemented
940#387C22×C8311yescharacteristic, complemented
941#387C22×C8311yescharacteristic, complemented
942#386C22×C8311yescharacteristic
943#386C22×C8311yescharacteristic
944#386C22×C8311yescharacteristic
945#386C22×C8311yescharacteristic
946#386C22×C8311yescharacteristic
947#386C22×C8311yescharacteristic
948#386C22×C8311yescharacteristic
949#386C22×C8311yescharacteristic
950#386C22×C8311yescharacteristic
951#386C22×C8311yescharacteristic
952#386C22×C8311yescharacteristic
953#386C22×C8311yescharacteristic
954#386C22×C8311yescharacteristic
955#386C22×C8311yescharacteristic
956#386C22×C8311yescharacteristic
957#386C22×C8311yescharacteristic
958#386C22×C8311yescharacteristic, complemented
959#386C22×C8311yescharacteristic, complemented
960#386C22×C8311yescharacteristic, complemented
961#385C22×C8311yescharacteristic
962#385C22×C8311yescharacteristic
963#385C22×C8311yescharacteristic
964#385C22×C8311yescharacteristic
965#385C22×C8311yescharacteristic
966#385C22×C8311yescharacteristic
967#385C22×C8311yescharacteristic
968#385C22×C8311yescharacteristic
969#385C22×C8311yescharacteristic
970#385C22×C8311yescharacteristic
971#385C22×C8311yescharacteristic
972#385C22×C8311yescharacteristic
973#385C22×C8311yescharacteristic
974#385C22×C8311yescharacteristic
975#385C22×C8311yescharacteristic, complemented
976#385C22×C8311yescharacteristic, complemented
977#385C22×C8311yescharacteristic, complemented
978#383C22×C8311yescharacteristic, complemented
979#382C22×C8311yescharacteristic, complemented
980#382C22×C8311yescharacteristic, complemented
981#381C22×C8311yescharacteristic
982#381C22×C8311yescharacteristic
983#381C22×C8311yescharacteristic
984#381C22×C8311yescharacteristic, complemented
985#381C22×C8311yescharacteristic, complemented
986#380C22×C8311yescharacteristic
987#380C22×C8311yescharacteristic
988#380C22×C8311yescharacteristic
989#380C22×C8311yescharacteristic
990#380C22×C8311yescharacteristic
991#380C22×C8311yescharacteristic, complemented
992#380C22×C8311yescharacteristic, complemented
993#380C22×C8311yescharacteristic, complemented
994#379C22×C8311yescharacteristic
995C4×C22⋊C4C22×C8311yescharacteristic
996C2×#95C22×C8311yescharacteristic
997C2×#95C22×C8311yescharacteristic
998C25C23×C8311yescharacteristic
999C22×D4C23×C8311yescharacteristic
1000C22×D4C23×C8311yescharacteristic
1001C22×D4C23×C8311yescharacteristic
1002C22×D4C23×C8311yescharacteristic
1003C22×D4C23×C8311yescharacteristic
1004C22×D4C23×C8311yescharacteristic
1005C22×D4C23×C8311yescharacteristic
1006C22×D4C23×C8311yescharacteristic
1007C22×D4C23×C8311yescharacteristic
1008C22×D4C23×C8311yescharacteristic
1009C22×D4C23×C8311yescharacteristic
1010C22×D4C23×C8311yescharacteristic
1011C23×C4—42no—
1012C23×C4—42no—
1013C23×C4—42no—
1014C23×C4C23×C8311yescharacteristic
1015C23×C4C23×C8311yescharacteristic
1016C23×C4C23×C8311yescharacteristic
1017C23×C4C23×C8311yescharacteristic
1018C23×C4C23×C8311yescharacteristic
1019C23×C4C23×C8311yescharacteristic
1020C23×C4C23×C8311yescharacteristic
1021C23×C4C23×C8311yescharacteristic
1022C23×C4C23×C8311yescharacteristic
1023C23×C4C23×C8311yescharacteristic
1024C23×C4C23×C8311yescharacteristic
1025C23×C4C23×C8311yescharacteristic
1026C23×C4C23×C8311yescharacteristic
1027#125—42no—
1028#123—42no—
1029#123—42no—
1030#123—42no—
1031#123—42no—
1032#123—42no—
1033#123—42no—
1034#121—24no—
1035#121—42no—
1036#121—42no—
1037#121—42no—
1038#121—42no—
1039#121—42no—
1040#121—42no—
1041#120—42no—
1042#120—42no—
1043#120—42no—
1044C4×D4—24no—
1045C4×D4—42no—
1046C4×D4—42no—
1047C2×C4⋊C4—42no—
1048C2×C4⋊C4—42no—
1049C2×C4⋊C4C23×C8311yescharacteristic
1050C2×C4⋊C4C23×C8311yescharacteristic
1051C2×C4⋊C4C23×C8311yescharacteristic
1052C2×C4⋊C4C23×C8311yescharacteristic
1053C2×C4⋊C4C23×C8311yescharacteristic
1054C2×C4⋊C4C23×C8311yescharacteristic
1055C2×C4⋊C4C23×C8311yescharacteristic
1056C2×C4⋊C4C23×C8311yescharacteristic
1057C2×C4⋊C4C23×C8311yescharacteristic
1058C2×C4⋊C4C23×C8311yescharacteristic
1059C2×C4⋊C4C23×C8311yescharacteristic
1060C2×C4⋊C4C23×C8311yescharacteristic
1061C2×C4⋊C4C23×C8311yescharacteristic
1062C2×C4⋊C4C23×C8311yescharacteristic
1063C2×C4⋊C4C23×C8311yescharacteristic
1064C2×C4⋊C4C23×C8311yescharacteristic
1065C2×C4⋊C4C23×C8311yescharacteristic
1066C2×C4⋊C4C23×C8311yescharacteristic
1067C2×C4⋊C4C23×C8311yescharacteristic
1068C2×C4⋊C4C23×C8311yescharacteristic
1069C2×C4⋊C4C23×C8311yescharacteristic
1070C2×C4⋊C4C23×C8311yescharacteristic
1071C2×C4⋊C4C23×C8311yescharacteristic
1072C2×C4⋊C4C23×C8311yescharacteristic
1073C2×C4⋊C4C23×C8311yescharacteristic
1074C2×C4⋊C4C23×C8311yescharacteristic
1075C2×C4⋊C4C23×C8311yescharacteristic
1076C2×C4⋊C4C23×C8311yescharacteristic
1077C2×C4⋊C4C23×C8311yescharacteristic
1078C2×C4⋊C4C23×C8311yescharacteristic
1079C2×C4⋊C4C23×C8311yescharacteristic
1080C2×C4⋊C4C23×C8311yescharacteristic
1081C2×C4⋊C4C23×C8311yescharacteristic
1082C2×C4⋊C4C23×C8311yescharacteristic
1083C2×C22⋊C4—24no—
1084C2×C22⋊C4—42no—
1085C2×C22⋊C4C23×C8311yescharacteristic
1086C2×C22⋊C4C23×C8311yescharacteristic
1087C2×C22⋊C4C23×C8311yescharacteristic
1088C2×C22⋊C4C23×C8311yescharacteristic
1089C2×C22⋊C4C23×C8311yescharacteristic
1090C2×C22⋊C4C23×C8311yescharacteristic
1091C2×C22⋊C4C23×C8311yescharacteristic
1092C2×C22⋊C4C23×C8311yescharacteristic
1093C2×C22⋊C4C23×C8311yescharacteristic
1094C2×C22⋊C4C23×C8311yescharacteristic
1095C2×C22⋊C4C23×C8311yescharacteristic
1096C2×C22⋊C4C23×C8311yescharacteristic
1097C2×C22⋊C4C23×C8311yescharacteristic
1098C2×C22⋊C4C23×C8311yescharacteristic
1099C2×C22⋊C4C23×C8311yescharacteristic
1100C2×C22⋊C4C23×C8311yescharacteristic
1101C2×C22⋊C4C23×C8311yescharacteristic
1102C2×C22⋊C4C23×C8311yescharacteristic
1103C2×C22⋊C4C23×C8311yescharacteristic
1104C2×C22⋊C4C23×C8311yescharacteristic
1105C2×C22⋊C4C23×C8311yescharacteristic
1106C2×C22⋊C4C23×C8311yescharacteristic
1107C2×C22⋊C4C23×C8311yescharacteristic
1108C2×C22⋊C4C23×C8311yescharacteristic
1109C2×C22⋊C4C23×C8311yescharacteristic
1110C2×C22⋊C4C23×C8311yescharacteristic
1111C2×C22⋊C4C23×C8311yescharacteristic
1112C2×C22⋊C4C23×C8311yescharacteristic
1113C2×C22⋊C4C23×C8311yescharacteristic
1114C2×C22⋊C4C23×C8311yescharacteristic
1115C2×C22⋊C4C23×C8311yescharacteristic
1116C2×C22⋊C4C23×C8311yescharacteristic
1117C2×C22⋊C4C23×C8311yescharacteristic
1118C2×C22⋊C4C23×C8311yescharacteristic
1119C2×C22⋊C4C23×C8311yescharacteristic
1120C2×C22⋊C4C23×C8311yescharacteristic
1121C2×C22⋊C4C23×C8311yescharacteristic
1122C2×C22⋊C4C23×C8311yescharacteristic
1123C2×C22⋊C4C23×C8311yescharacteristic
1124C2×C22⋊C4C23×C8311yescharacteristic
1125C2×C22⋊C4C23×C8311yescharacteristic
1126C2×C22⋊C4C23×C8311yescharacteristic
1127C2×C22⋊C4C23×C8311yescharacteristic
1128C2×C22⋊C4C23×C8311yescharacteristic
1129C2×C22⋊C4C23×C8311yescharacteristic
1130C2×C22⋊C4C23×C8311yescharacteristic
1131C2×C22⋊C4C23×C8311yescharacteristic
1132C2×C22⋊C4C23×C8311yescharacteristic
1133C2×C22⋊C4C23×C8311yescharacteristic
1134C2×C22⋊C4C23×C8311yescharacteristic
1135C2×C42C23×C8311yescharacteristic
1136C2×C42C23×C8311yescharacteristic
1137C2×C42C23×C8311yescharacteristic
1138C2×C42C23×C8311yescharacteristic
1139C2×C42C23×C8311yescharacteristic
1140#95C23×C8311yescharacteristic
1141#95C23×C8311yescharacteristic
1142#95C23×C8311yescharacteristic
1143#95C23×C8311yescharacteristic
1144#95C23×C8311yescharacteristic
1145#95C23×C8311yescharacteristic
1146#95C23×C8311yescharacteristic
1147#95C23×C8311yescharacteristic
1148#95C23×C8311yescharacteristic
1149#95C23×C8311yescharacteristic
1150#95C23×C8311yescharacteristic
1151#95C23×C8311yescharacteristic
1152#95C23×C8311yescharacteristic
1153#95C23×C8311yescharacteristic
1154#95C23×C8311yescharacteristic
1155#95C23×C8311yescharacteristic
1156#95C23×C8311yescharacteristic
1157#95C23×C8311yescharacteristic
1158#95C23×C8311yescharacteristic
1159#95C23×C8311yescharacteristic
1160#95C23×C8311yescharacteristic
1161#95C23×C8311yescharacteristic
1162#95C23×C8311yescharacteristic
1163#95C23×C8311yescharacteristic
1164#95C23×C8311yescharacteristic
1165#95C23×C8311yescharacteristic
1166#95C23×C8311yescharacteristic
1167#95C23×C8311yescharacteristic
1168#95C23×C8311yescharacteristic
1169#95C23×C8311yescharacteristic
1170#95C23×C8311yescharacteristic
1171#95C23×C8311yescharacteristic
1172#95C23×C8311yescharacteristic
1173#95C23×C8311yescharacteristic
1174#95C23×C8311yescharacteristic
1175#95C23×C8311yescharacteristic
1176#95C23×C8311yescharacteristic
1177#95C23×C8311yescharacteristic
1178#95C23×C8311yescharacteristic
1179#95C23×C8311yescharacteristic
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—41no—
1187C24C24×C8311yescharacteristic
1188C24C24×C8311yescharacteristic
1189C24C24×C8311yescharacteristic
1190C24C24×C8311yescharacteristic
1191C24C24×C8311yescharacteristic
1192C24C24×C8311yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—416no—
1268C22×C4#41×C8314yes—
1269C22×C4C24×C8311yescharacteristic
1270C22×C4C24×C8311yescharacteristic
1271C22×C4C24×C8311yescharacteristic
1272C22×C4C24×C8311yescharacteristic
1273C22×C4C24×C8311yescharacteristic
1274C22×C4C24×C8311yescharacteristic
1275C22×C4C24×C8311yescharacteristic
1276C22×C4C24×C8311yescharacteristic
1277C22×C4C24×C8311yescharacteristic
1278C22×C4C24×C8311yescharacteristic
1279C22×C4C24×C8311yescharacteristic
1280C22×C4C24×C8311yescharacteristic
1281C22×C4C24×C8311yescharacteristic
1282C22×C4C24×C8311yescharacteristic
1283C22×C4C24×C8311yescharacteristic
1284C22×C4C24×C8311yescharacteristic
1285C22×C4C24×C8311yescharacteristic
1286C22×C4C24×C8311yescharacteristic
1287C22×C4C24×C8311yescharacteristic
1288C22×C4C24×C8311yescharacteristic
1289C22×C4C24×C8311yescharacteristic
1290C22×C4C24×C8311yescharacteristic
1291C22×C4C24×C8311yescharacteristic
1292C22×C4C24×C8311yescharacteristic
1293C22×C4C24×C8311yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C42—22no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23C2×#41×C8312yes—
1428C23H(5,𝔽2)×C8312yes—
1429C23H(5,𝔽2)×C8312yes—
1430C23H(5,𝔽2)×C8312yes—
1431C232−1+4×C8312yes—
1432C23C25×C8311yescharacteristic
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4C2×#41×C8312yes—
1531C2×C4C2×#41×C8312yes—
1532C2×C4H(5,𝔽2)×C8312yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22#540×C8314yes—
1576C22C22×#41×C8311yescharacteristic
1577C22C2×H(5,𝔽2)×C8311yescharacteristic
1578C22C2×H(5,𝔽2)×C8311yescharacteristic
1579C22C2×H(5,𝔽2)×C8311yescharacteristic
1580C22C2×H(5,𝔽2)×C8311yescharacteristic
1581C22C2×2−1+4×C8311yescharacteristic
1582C22#585×C8311yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C2—24no—
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—81no—
1613C2—81no—
1614C2C2×#540×C8311yescharacteristic
1615C2C83×#349211yescharacteristic
1616C2C83×#350511yescharacteristic
1617C2C83×#353211yescharacteristic
1618C2C83×#353411yescharacteristic
1619C2C83×#353511yescharacteristic
1620C2C83×#353611yescharacteristic
subgroupG/H
center, socleC23×C83C25
commutator, Frattini, cosocleC23C25×C83
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#2849C2semidirect
2. C83×#2847C2semidirect
3. C83×#2780C2semidirect
4. C83×#2780C2semidirect
5. C83×#2768C2semidirect
6. C83×#2761C2semidirect
7. C83×#2753C2semidirect
8. C83×#2749C2semidirect
9. C83×#2748C2semidirect
10. C83×#2743C2semidirect
11. C83×#2738C2semidirect
12. C83×#2711C2semidirect
13. C83×#2707C2semidirect
14. C83×#2706C2semidirect
15. C83×#2701C2semidirect
16. C83×#2701C2semidirect
17. C83×#2688C2semidirect
18. C83×#2671C2semidirect
19. C83×#2623C2semidirect
20. C83×#2618C2semidirect
21. C83×#2539C2semidirect
22. C83×#2534C2semidirect
23. C83×#2442C2semidirect
24. C83×#2425C2semidirect
25. C83×#2424C2semidirect
26. C83×#2419C2semidirect
27. C83×#2418C2semidirect
28. C83×#2416C2semidirect
29. C83×#2325C2semidirect
30. C83×#2318C2semidirect
31. C2×#385×C83C2semidirect
33. C2×#125×C83C22semidirect
46. C2×#121×C83C22semidirect
57. #400×C83C22semidirect
58. #400×C83C22semidirect
59. #400×C83C22semidirect
60. #400×C83C22semidirect
61. #400×C83C22semidirect
65. #399×C83C22semidirect
66. #399×C83C22semidirect
67. #398×C83C22semidirect
68. #398×C83C22semidirect
69. #398×C83C22semidirect
70. #398×C83C22semidirect
71. #398×C83C22semidirect
72. #398×C83C22semidirect
73. #398×C83C22semidirect
74. #398×C83C22semidirect
76. #397×C83C22semidirect
77. #397×C83C22semidirect
78. #397×C83C22semidirect
79. #397×C83C22semidirect
80. #397×C83C22semidirect
84. #396×C83C22semidirect
85. #396×C83C22semidirect
86. #396×C83C22semidirect
87. #396×C83C22semidirect
88. #396×C83C22semidirect
89. #396×C83C22semidirect
90. #396×C83C22semidirect
97. #394×C83C22semidirect
98. #394×C83C22semidirect
99. #394×C83C22semidirect
100. #394×C83C22semidirect
101. #394×C83C22semidirect
110. #390×C83C22semidirect
111. #389×C83C22semidirect
112. #389×C83C22semidirect
113. #389×C83C22semidirect
114. #389×C83C22semidirect
120. #388×C83C22semidirect
121. #388×C83C22semidirect
122. #388×C83C22semidirect
123. #388×C83C22semidirect
124. #388×C83C22semidirect
125. #387×C83C22semidirect
126. #387×C83C22semidirect
127. #387×C83C22semidirect
128. #387×C83C22semidirect
129. #387×C83C22semidirect
130. #387×C83C22semidirect
147. #386×C83C22semidirect
148. #386×C83C22semidirect
149. #386×C83C22semidirect
164. #385×C83C22semidirect
165. #385×C83C22semidirect
166. #385×C83C22semidirect
167. #383×C83C22semidirect
168. #382×C83C22semidirect
169. #382×C83C22semidirect
173. #381×C83C22semidirect
174. #381×C83C22semidirect
180. #380×C83C22semidirect
181. #380×C83C22semidirect
182. #380×C83C22semidirect
797. #36777C83direct (N × H)
811. #2849C2×C83semidirect
812. #2847C2×C83semidirect
813. #2780C2×C83semidirect
814. #2780C2×C83semidirect
815. #2768C2×C83semidirect
816. #2761C2×C83semidirect
817. #2753C2×C83semidirect
818. #2749C2×C83semidirect
819. #2748C2×C83semidirect
820. #2743C2×C83semidirect
821. #2738C2×C83semidirect
822. #2711C2×C83semidirect
823. #2707C2×C83semidirect
824. #2706C2×C83semidirect
825. #2701C2×C83semidirect
826. #2701C2×C83semidirect
827. #2688C2×C83semidirect
828. #2671C2×C83semidirect
829. #2623C2×C83semidirect
830. #2618C2×C83semidirect
831. #2539C2×C83semidirect
832. #2534C2×C83semidirect
833. #2442C2×C83semidirect
834. #2425C2×C83semidirect
835. #2424C2×C83semidirect
836. #2419C2×C83semidirect
837. #2418C2×C83semidirect
838. #2416C2×C83semidirect
839. #2325C2×C83semidirect
840. #2318C2×C83semidirect
841. C2×#385C2×C83semidirect
842. C83#36777direct (N × H)
844. C2×#125C22×C83semidirect
857. C2×#121C22×C83semidirect
868. #400C22×C83semidirect
869. #400C22×C83semidirect
870. #400C22×C83semidirect
871. #400C22×C83semidirect
872. #400C22×C83semidirect
876. #399C22×C83semidirect
877. #399C22×C83semidirect
878. #398C22×C83semidirect
879. #398C22×C83semidirect
880. #398C22×C83semidirect
881. #398C22×C83semidirect
882. #398C22×C83semidirect
883. #398C22×C83semidirect
884. #398C22×C83semidirect
885. #398C22×C83semidirect
887. #397C22×C83semidirect
888. #397C22×C83semidirect
889. #397C22×C83semidirect
890. #397C22×C83semidirect
891. #397C22×C83semidirect
895. #396C22×C83semidirect
896. #396C22×C83semidirect
897. #396C22×C83semidirect
898. #396C22×C83semidirect
899. #396C22×C83semidirect
900. #396C22×C83semidirect
901. #396C22×C83semidirect
908. #394C22×C83semidirect
909. #394C22×C83semidirect
910. #394C22×C83semidirect
911. #394C22×C83semidirect
912. #394C22×C83semidirect
921. #390C22×C83semidirect
922. #389C22×C83semidirect
923. #389C22×C83semidirect
924. #389C22×C83semidirect
925. #389C22×C83semidirect
931. #388C22×C83semidirect
932. #388C22×C83semidirect
933. #388C22×C83semidirect
934. #388C22×C83semidirect
935. #388C22×C83semidirect
936. #387C22×C83semidirect
937. #387C22×C83semidirect
938. #387C22×C83semidirect
939. #387C22×C83semidirect
940. #387C22×C83semidirect
941. #387C22×C83semidirect
958. #386C22×C83semidirect
959. #386C22×C83semidirect
960. #386C22×C83semidirect
975. #385C22×C83semidirect
976. #385C22×C83semidirect
977. #385C22×C83semidirect
978. #383C22×C83semidirect
979. #382C22×C83semidirect
980. #382C22×C83semidirect
984. #381C22×C83semidirect
985. #381C22×C83semidirect
991. #380C22×C83semidirect
992. #380C22×C83semidirect
993. #380C22×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#28492
C83×#28472
C83×#27802
C83×#27682
C83×#27612
C83×#27532
C83×#27492
C83×#27482
C83×#27432
C83×#27382
C83×#27112
C83×#27072
C83×#27062
C83×#27012
C83×#26882
C83×#26712
C83×#26232
C83×#26182
C83×#25392
C83×#25342
C83×#24422
C83×#24252
C83×#24242
C83×#24192
C83×#24182
C83×#24162
C83×#23252
C83×#23182
C2×#385×C832
#3677783