Finite Group Databasebeta

← C83×#36856 #35264680

Subgroups — C83×#36856 #35264680

Order 21248.

2112 conjugacy classes of subgroups.

The subgroup lattice has 1674 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×#2797C211yesmaximal, characteristic, complemented
4C83×#2782C211yesmaximal, characteristic, complemented
5C83×#2780C211yesmaximal, characteristic, complemented
6C83×#2750C211yesmaximal, characteristic, complemented
7C83×#2744C211yesmaximal, characteristic, complemented
8C83×#2708C211yesmaximal, characteristic, complemented
9C83×#2697C211yesmaximal, characteristic, complemented
10C83×#2693C211yesmaximal, characteristic, complemented
11C83×#2693C211yesmaximal, characteristic, complemented
12C83×#2688C211yesmaximal, characteristic, complemented
13C83×#2688C211yesmaximal, characteristic, complemented
14C83×#2682C211yesmaximal, characteristic, complemented
15C83×#2678C211yesmaximal, characteristic, complemented
16C83×#2673C211yesmaximal, characteristic, complemented
17C83×#2669C211yesmaximal, characteristic, complemented
18C83×#2668C211yesmaximal, characteristic, complemented
19C83×#2649C211yesmaximal, characteristic, complemented
20C83×#2648C211yesmaximal, characteristic, complemented
21C83×#2530C211yesmaximal, characteristic, complemented
22C83×#2526C211yesmaximal, characteristic, complemented
23C83×#2464C211yesmaximal, characteristic, complemented
24C83×#2457C211yesmaximal, characteristic, complemented
25C83×#2456C211yesmaximal, characteristic, complemented
26C83×#2456C211yesmaximal, characteristic, complemented
27C83×#2444C211yesmaximal, characteristic, complemented
28C83×#2425C211yesmaximal, characteristic, complemented
29C83×#2328C211yesmaximal, characteristic, complemented
30C83×#2325C211yesmaximal, characteristic, complemented
31C4×#120×C83C211yesmaximal, characteristic, complemented
32C24×C4×C83C2211yescharacteristic
33C2×#127×C83C2211yescharacteristic
34C2×#123×C83C2211yescharacteristic
35C2×#123×C83C2211yescharacteristic
36C2×#123×C83C2211yescharacteristic
37C2×#123×C83C2211yescharacteristic
38C2×#123×C83C2211yescharacteristic, complemented
39C2×#123×C83C2211yescharacteristic, complemented
40C2×#121×C83C2211yescharacteristic
41C2×#121×C83C2211yescharacteristic
42C2×#121×C83C2211yescharacteristic
43C2×#121×C83C2211yescharacteristic
44C2×#121×C83C2211yescharacteristic
45C2×#121×C83C2211yescharacteristic
46C2×#121×C83C2211yescharacteristic
47C2×#121×C83C2211yescharacteristic
48C2×#120×C83C2211yescharacteristic
49C2×#120×C83C2211yescharacteristic
50C2×#120×C83C2211yescharacteristic
51C2×#120×C83C2211yescharacteristic
52C2×C4×D4×C83C2211yescharacteristic
53C2×C4×D4×C83C2211yescharacteristic
54C2×C4×D4×C83C2211yescharacteristic
55C2×C4×D4×C83C2211yescharacteristic, complemented
56C2×C4×D4×C83C2211yescharacteristic, complemented
57#400×C83C2211yescharacteristic, complemented
58#400×C83C2211yescharacteristic, complemented
59#400×C83C2211yescharacteristic, complemented
60#400×C83C2211yescharacteristic, complemented
61#400×C83C2211yescharacteristic, complemented
62#400×C83C2211yescharacteristic, complemented
63#400×C83C2211yescharacteristic, complemented
64#400×C83C2211yescharacteristic, complemented
65#399×C83C2211yescharacteristic
66#398×C83C2211yescharacteristic, complemented
67#398×C83C2211yescharacteristic, complemented
68#397×C83C2211yescharacteristic
69#397×C83C2211yescharacteristic
70#397×C83C2211yescharacteristic
71#397×C83C2211yescharacteristic
72#397×C83C2211yescharacteristic
73#397×C83C2211yescharacteristic, complemented
74#397×C83C2211yescharacteristic, complemented
75#397×C83C2211yescharacteristic, complemented
76#397×C83C2211yescharacteristic, complemented
77#397×C83C2211yescharacteristic, complemented
78#396×C83C2211yescharacteristic
79#396×C83C2211yescharacteristic
80#396×C83C2211yescharacteristic
81#396×C83C2211yescharacteristic, complemented
82#396×C83C2211yescharacteristic, complemented
83#396×C83C2211yescharacteristic, complemented
84#396×C83C2211yescharacteristic, complemented
85#394×C83C2211yescharacteristic
86#394×C83C2211yescharacteristic
87#394×C83C2211yescharacteristic
88#394×C83C2211yescharacteristic
89#394×C83C2211yescharacteristic
90#394×C83C2211yescharacteristic
91#394×C83C2211yescharacteristic
92#394×C83C2211yescharacteristic
93#394×C83C2211yescharacteristic, complemented
94#394×C83C2211yescharacteristic, complemented
95#392×C83C2211yescharacteristic
96#392×C83C2211yescharacteristic
97#392×C83C2211yescharacteristic
98#392×C83C2211yescharacteristic
99#392×C83C2211yescharacteristic
100#392×C83C2211yescharacteristic
101#392×C83C2211yescharacteristic
102#392×C83C2211yescharacteristic, complemented
103#392×C83C2211yescharacteristic, complemented
104#392×C83C2211yescharacteristic, complemented
105#390×C83C2211yescharacteristic
106#390×C83C2211yescharacteristic
107#390×C83C2211yescharacteristic
108#390×C83C2211yescharacteristic, complemented
109#390×C83C2211yescharacteristic, complemented
110#389×C83C2211yescharacteristic, complemented
111#389×C83C2211yescharacteristic, complemented
112#388×C83C2211yescharacteristic
113#388×C83C2211yescharacteristic
114#388×C83C2211yescharacteristic
115#388×C83C2211yescharacteristic
116#388×C83C2211yescharacteristic
117#388×C83C2211yescharacteristic, complemented
118#388×C83C2211yescharacteristic, complemented
119#388×C83C2211yescharacteristic, complemented
120#388×C83C2211yescharacteristic, complemented
121#388×C83C2211yescharacteristic, complemented
122#388×C83C2211yescharacteristic, complemented
123#388×C83C2211yescharacteristic, complemented
124#387×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
148#386×C83C2211yescharacteristic
149#386×C83C2211yescharacteristic
150#386×C83C2211yescharacteristic
151#386×C83C2211yescharacteristic
152#386×C83C2211yescharacteristic, complemented
153#386×C83C2211yescharacteristic, complemented
154#386×C83C2211yescharacteristic, complemented
155#386×C83C2211yescharacteristic, complemented
156#386×C83C2211yescharacteristic, complemented
157#386×C83C2211yescharacteristic, complemented
158#386×C83C2211yescharacteristic, complemented
159#385×C83C2211yescharacteristic
160#385×C83C2211yescharacteristic
161#385×C83C2211yescharacteristic
162#385×C83C2211yescharacteristic
163#385×C83C2211yescharacteristic
164#385×C83C2211yescharacteristic
165#385×C83C2211yescharacteristic
166#385×C83C2211yescharacteristic, complemented
167#385×C83C2211yescharacteristic, complemented
168#385×C83C2211yescharacteristic, complemented
169#385×C83C2211yescharacteristic, complemented
170#385×C83C2211yescharacteristic, complemented
171#382×C83C2211yescharacteristic, complemented
172#381×C83C2211yescharacteristic
173#381×C83C2211yescharacteristic
174#381×C83C2211yescharacteristic, complemented
175#380×C83C2211yescharacteristic
176#380×C83C2211yescharacteristic
177#380×C83C2211yescharacteristic
178#380×C83C2211yescharacteristic, complemented
179#380×C83C2211yescharacteristic, complemented
180#379×C83C2211yescharacteristic
181#379×C83C2211yescharacteristic
182C4×C22⋊C4×C83C2211yescharacteristic
183C4×C22⋊C4×C83C2211yescharacteristic
184C4×C22⋊C4×C83C2211yescharacteristic
185#376×C83C2211yescharacteristic, complemented
186C2×#95×C83C2211yescharacteristic, complemented
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
200C22×D4×C83C2311yescharacteristic
201C22×D4×C83C2311yescharacteristic
202C22×D4×C83C2311yescharacteristic
203C22×D4×C83C2311yescharacteristic
204C22×D4×C83C2311yescharacteristic
205C22×D4×C83C2311yescharacteristic
206C23×C4×C83—42no—
207C23×C4×C83—42no—
208C23×C4×C83—42no—
209C23×C4×C83C2311yescharacteristic
210C23×C4×C83C2311yescharacteristic
211C23×C4×C83C2311yescharacteristic
212C23×C4×C83C2311yescharacteristic
213C23×C4×C83C2311yescharacteristic
214C23×C4×C83C2311yescharacteristic
215C23×C4×C83C2311yescharacteristic
216C23×C4×C83C2311yescharacteristic
217C23×C4×C83C2311yescharacteristic
218C23×C4×C83C2311yescharacteristic
219C23×C4×C83C2311yescharacteristic
220C23×C4×C83C2311yescharacteristic
221#127×C83—24no—
222#123×C83—42no—
223#123×C83—42no—
224#123×C83—42no—
225#123×C83—42no—
226#123×C83—42no—
227#123×C83—42no—
228#121×C83—24no—
229#121×C83—42no—
230#121×C83—42no—
231#121×C83—42no—
232#121×C83—42no—
233#121×C83—42no—
234#121×C83—42no—
235#121×C83—42no—
236#120×C83—24no—
237#120×C83—42no—
238#120×C83—42no—
239#120×C83—42no—
240C4×D4×C83—42no—
241C4×D4×C83—42no—
242C4×D4×C83—42no—
243C4×D4×C83—42no—
244C4×D4×C83—42no—
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×C22⋊C4×C83C2311yescharacteristic
270C2×C22⋊C4×C83C2311yescharacteristic
271C2×C22⋊C4×C83C2311yescharacteristic
272C2×C22⋊C4×C83C2311yescharacteristic
273C2×C22⋊C4×C83C2311yescharacteristic
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×C42×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—41no—
373C24×C83—41no—
374C24×C83—41no—
375C24×C83—41no—
376C24×C83C2411yescharacteristic
377C24×C83C2411yescharacteristic
378C24×C83C2411yescharacteristic
379C24×C83C2411yescharacteristic
380C24×C83C2411yescharacteristic
381C24×C83C2411yescharacteristic
382C24×C83C2411yescharacteristic
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—22no—
400C2×D4×C83—22no—
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—
418C2×D4×C83—41no—
419C2×D4×C83—41no—
420C2×D4×C83—41no—
421C2×D4×C83—41no—
422C2×D4×C83—41no—
423C2×D4×C83—41no—
424C2×D4×C83—41no—
425C2×D4×C83—41no—
426C2×D4×C83—41no—
427C2×D4×C83—41no—
428C2×D4×C83—41no—
429C2×D4×C83—41no—
430C2×D4×C83—41no—
431C2×D4×C83—41no—
432C2×D4×C83—41no—
433C2×D4×C83—41no—
434C2×D4×C83—41no—
435C2×D4×C83—41no—
436C2×D4×C83#4114yes—
437C22×C4×C83—22no—
438C22×C4×C83—22no—
439C22×C4×C83—22no—
440C22×C4×C83—22no—
441C22×C4×C83—22no—
442C22×C4×C83—22no—
443C22×C4×C83—22no—
444C22×C4×C83—22no—
445C22×C4×C83—22no—
446C22×C4×C83—22no—
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—41no—
457C22×C4×C83—41no—
458C22×C4×C83—41no—
459C22×C4×C83—41no—
460C22×C4×C83—41no—
461C22×C4×C83—41no—
462C22×C4×C83—41no—
463C22×C4×C83—41no—
464C22×C4×C83—41no—
465C22×C4×C83—41no—
466C22×C4×C83—41no—
467C22×C4×C83—41no—
468C22×C4×C83—41no—
469C22×C4×C83—41no—
470C22×C4×C83—41no—
471C22×C4×C83—41no—
472C22×C4×C83—41no—
473C22×C4×C83—416no—
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
483C22×C4×C83C2411yescharacteristic
484C22×C4×C83C2411yescharacteristic
485C22×C4×C83C2411yescharacteristic
486C22×C4×C83C2411yescharacteristic
487C22×C4×C83C2411yescharacteristic
488C22×C4×C83C2411yescharacteristic
489C22×C4×C83C2411yescharacteristic
490C22×C4×C83C2411yescharacteristic
491C22×C4×C83C2411yescharacteristic
492C22×C4×C83C2411yescharacteristic
493C22×C4×C83C2411yescharacteristic
494C22×C4×C83C2411yescharacteristic
495C22×C4×C83C2411yescharacteristic
496C22×C4×C83C2411yescharacteristic
497C22×C4×C83C2411yescharacteristic
498C4⋊C4×C83—22no—
499C4⋊C4×C83—22no—
500C4⋊C4×C83—22no—
501C4⋊C4×C83—22no—
502C4⋊C4×C83—22no—
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—
517C4⋊C4×C83—41no—
518C4⋊C4×C83—41no—
519C4⋊C4×C83—41no—
520C4⋊C4×C83—41no—
521C4⋊C4×C83—41no—
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—22no—
535C22⋊C4×C83—22no—
536C22⋊C4×C83—22no—
537C22⋊C4×C83—22no—
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—
567C22⋊C4×C83—41no—
568C22⋊C4×C83—41no—
569C22⋊C4×C83—41no—
570C22⋊C4×C83—41no—
571C22⋊C4×C83—41no—
572C22⋊C4×C83—41no—
573C22⋊C4×C83—41no—
574C22⋊C4×C83—41no—
575C22⋊C4×C83—41no—
576C42×C83—22no—
577C42×C83—22no—
578C42×C83—41no—
579C42×C83—41no—
580C42×C83—41no—
581C42×C83—41no—
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—21no—
611C23×C83—21no—
612C23×C83—21no—
613C23×C83—21no—
614C23×C83—21no—
615C23×C83—21no—
616C23×C83—21no—
617C23×C83—21no—
618C23×C83—21no—
619C23×C83—21no—
620C23×C83—21no—
621C23×C83—21no—
622C23×C83—21no—
623C23×C83—21no—
624C23×C83—21no—
625C23×C83—21no—
626C23×C83—21no—
627C23×C83—44no—
628C23×C83—44no—
629C23×C83—44no—
630C23×C83—44no—
631C23×C83—44no—
632C23×C83—44no—
633C23×C83—44no—
634C23×C83C2×#4112yes—
635C23×C83C2×#4112yes—
636C23×C83H(5,𝔽2)12yes—
637C23×C83H(5,𝔽2)12yes—
638C23×C83C2511yescharacteristic
639D4×C83—44no—
640D4×C83—44no—
641D4×C83—44no—
642D4×C83—44no—
643D4×C83—44no—
644D4×C83—82no—
645D4×C83—82no—
646D4×C83—82no—
647D4×C83—82no—
648D4×C83—82no—
649D4×C83—82no—
650D4×C83—82no—
651D4×C83—82no—
652D4×C83—82no—
653D4×C83—82no—
654D4×C83—82no—
655D4×C83—82no—
656D4×C83—82no—
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—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—21no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—44no—
727C2×C4×C83—44no—
728C2×C4×C83—44no—
729C2×C4×C83—44no—
730C2×C4×C83—44no—
731C2×C4×C83—44no—
732C2×C4×C83—82no—
733C2×C4×C83—82no—
734C2×C4×C83—82no—
735C2×C4×C83—82no—
736C2×C4×C83—82no—
737C2×C4×C83—82no—
738C2×C4×C83C2×#4112yes—
739C2×C4×C83H(5,𝔽2)12yes—
740C2×C4×C83H(5,𝔽2)12yes—
741C22×C83—22no—
742C22×C83—22no—
743C22×C83—22no—
744C22×C83—22no—
745C22×C83—22no—
746C22×C83—22no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—22no—
750C22×C83—22no—
751C22×C83—22no—
752C22×C83—22no—
753C22×C83—416no—
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—41no—
765C22×C83—41no—
766C22×C83—41no—
767C22×C83—41no—
768C22×C83—41no—
769C22×C83—41no—
770C22×C83—41no—
771C22×C83—41no—
772C22×C83—41no—
773C22×C83—41no—
774C22×C83—41no—
775C22×C83—41no—
776C22×C83—41no—
777C22×C83—41no—
778C22×C83—41no—
779C22×C83—41no—
780C22×C83—41no—
781C22×C83—41no—
782C22×C83—41no—
783C22×C83—41no—
784C22×C83—41no—
785C22×C83—41no—
786C22×C83—41no—
787C22×C83—41no—
788C22×C83—41no—
789C22×C83—41no—
790C22×C83—41no—
791C22×C83C22×#4111yescharacteristic
792C22×C83C2×H(5,𝔽2)11yescharacteristic
793C22×C83C2×H(5,𝔽2)11yescharacteristic
794C22×C83C2×H(5,𝔽2)11yescharacteristic
795C22×C83C2×H(5,𝔽2)11yescharacteristic
796C22×C83#58511yescharacteristic
797C22×C83#58511yescharacteristic
798C4×C83—22no—
799C4×C83—22no—
800C4×C83—22no—
801C4×C83—41no—
802C4×C83—41no—
803C4×C83—41no—
804C4×C83—41no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808C4×C83—41no—
809C4×C83—41no—
810C4×C83—41no—
811C4×C83—41no—
812C4×C83—41no—
813C4×C83—41no—
814C4×C83—41no—
815C4×C83—41no—
816C4×C83—41no—
817C4×C83—41no—
818C4×C83—41no—
819C4×C83—41no—
820C4×C83—41no—
821C4×C83—41no—
822#36856C8311yesmaximal, characteristic, direct product factor, Sylow
823C2×C83—42no—
824C2×C83—42no—
825C2×C83—42no—
826C2×C83—42no—
827C2×C83—81no—
828C2×C83—81no—
829C2×C83—81no—
830C2×C83#345911yescharacteristic
831C2×C83#351311yescharacteristic
832C2×C83#351911yescharacteristic
833C2×C83#353211yescharacteristic
834C2×C83#353411yescharacteristic
835C2×C83#353911yescharacteristic
836C2×C83#354211yescharacteristic
837#2849C2×C8311yescharacteristic, complemented
838#2847C2×C8311yescharacteristic, complemented
839#2797C2×C8311yescharacteristic, complemented
840#2782C2×C8311yescharacteristic, complemented
841#2780C2×C8311yescharacteristic, complemented
842#2750C2×C8311yescharacteristic, complemented
843#2744C2×C8311yescharacteristic, complemented
844#2708C2×C8311yescharacteristic, complemented
845#2697C2×C8311yescharacteristic, complemented
846#2693C2×C8311yescharacteristic, complemented
847#2693C2×C8311yescharacteristic, complemented
848#2688C2×C8311yescharacteristic, complemented
849#2688C2×C8311yescharacteristic, complemented
850#2682C2×C8311yescharacteristic, complemented
851#2678C2×C8311yescharacteristic, complemented
852#2673C2×C8311yescharacteristic, complemented
853#2669C2×C8311yescharacteristic, complemented
854#2668C2×C8311yescharacteristic, complemented
855#2649C2×C8311yescharacteristic, complemented
856#2648C2×C8311yescharacteristic, complemented
857#2530C2×C8311yescharacteristic, complemented
858#2526C2×C8311yescharacteristic, complemented
859#2464C2×C8311yescharacteristic, complemented
860#2457C2×C8311yescharacteristic, complemented
861#2456C2×C8311yescharacteristic, complemented
862#2456C2×C8311yescharacteristic, complemented
863#2444C2×C8311yescharacteristic, complemented
864#2425C2×C8311yescharacteristic, complemented
865#2328C2×C8311yescharacteristic, complemented
866#2325C2×C8311yescharacteristic, complemented
867C4×#120C2×C8311yescharacteristic, complemented
868C83#3685611yescharacteristic, direct product factor, Sylow
869C24×C4C22×C8311yescharacteristic
870C2×#127C22×C8311yescharacteristic
871C2×#123C22×C8311yescharacteristic
872C2×#123C22×C8311yescharacteristic
873C2×#123C22×C8311yescharacteristic
874C2×#123C22×C8311yescharacteristic
875C2×#123C22×C8311yescharacteristic, complemented
876C2×#123C22×C8311yescharacteristic, complemented
877C2×#121C22×C8311yescharacteristic
878C2×#121C22×C8311yescharacteristic
879C2×#121C22×C8311yescharacteristic
880C2×#121C22×C8311yescharacteristic
881C2×#121C22×C8311yescharacteristic
882C2×#121C22×C8311yescharacteristic
883C2×#121C22×C8311yescharacteristic
884C2×#121C22×C8311yescharacteristic
885C2×#120C22×C8311yescharacteristic
886C2×#120C22×C8311yescharacteristic
887C2×#120C22×C8311yescharacteristic
888C2×#120C22×C8311yescharacteristic
889C2×C4×D4C22×C8311yescharacteristic
890C2×C4×D4C22×C8311yescharacteristic
891C2×C4×D4C22×C8311yescharacteristic
892C2×C4×D4C22×C8311yescharacteristic, complemented
893C2×C4×D4C22×C8311yescharacteristic, complemented
894#400C22×C8311yescharacteristic, complemented
895#400C22×C8311yescharacteristic, complemented
896#400C22×C8311yescharacteristic, complemented
897#400C22×C8311yescharacteristic, complemented
898#400C22×C8311yescharacteristic, complemented
899#400C22×C8311yescharacteristic, complemented
900#400C22×C8311yescharacteristic, complemented
901#400C22×C8311yescharacteristic, complemented
902#399C22×C8311yescharacteristic
903#398C22×C8311yescharacteristic, complemented
904#398C22×C8311yescharacteristic, complemented
905#397C22×C8311yescharacteristic
906#397C22×C8311yescharacteristic
907#397C22×C8311yescharacteristic
908#397C22×C8311yescharacteristic
909#397C22×C8311yescharacteristic
910#397C22×C8311yescharacteristic, complemented
911#397C22×C8311yescharacteristic, complemented
912#397C22×C8311yescharacteristic, complemented
913#397C22×C8311yescharacteristic, complemented
914#397C22×C8311yescharacteristic, complemented
915#396C22×C8311yescharacteristic
916#396C22×C8311yescharacteristic
917#396C22×C8311yescharacteristic
918#396C22×C8311yescharacteristic, complemented
919#396C22×C8311yescharacteristic, complemented
920#396C22×C8311yescharacteristic, complemented
921#396C22×C8311yescharacteristic, complemented
922#394C22×C8311yescharacteristic
923#394C22×C8311yescharacteristic
924#394C22×C8311yescharacteristic
925#394C22×C8311yescharacteristic
926#394C22×C8311yescharacteristic
927#394C22×C8311yescharacteristic
928#394C22×C8311yescharacteristic
929#394C22×C8311yescharacteristic
930#394C22×C8311yescharacteristic, complemented
931#394C22×C8311yescharacteristic, complemented
932#392C22×C8311yescharacteristic
933#392C22×C8311yescharacteristic
934#392C22×C8311yescharacteristic
935#392C22×C8311yescharacteristic
936#392C22×C8311yescharacteristic
937#392C22×C8311yescharacteristic
938#392C22×C8311yescharacteristic
939#392C22×C8311yescharacteristic, complemented
940#392C22×C8311yescharacteristic, complemented
941#392C22×C8311yescharacteristic, complemented
942#390C22×C8311yescharacteristic
943#390C22×C8311yescharacteristic
944#390C22×C8311yescharacteristic
945#390C22×C8311yescharacteristic, complemented
946#390C22×C8311yescharacteristic, complemented
947#389C22×C8311yescharacteristic, complemented
948#389C22×C8311yescharacteristic, complemented
949#388C22×C8311yescharacteristic
950#388C22×C8311yescharacteristic
951#388C22×C8311yescharacteristic
952#388C22×C8311yescharacteristic
953#388C22×C8311yescharacteristic
954#388C22×C8311yescharacteristic, complemented
955#388C22×C8311yescharacteristic, complemented
956#388C22×C8311yescharacteristic, complemented
957#388C22×C8311yescharacteristic, complemented
958#388C22×C8311yescharacteristic, complemented
959#388C22×C8311yescharacteristic, complemented
960#388C22×C8311yescharacteristic, complemented
961#387C22×C8311yescharacteristic, complemented
962#387C22×C8311yescharacteristic, complemented
963#387C22×C8311yescharacteristic, complemented
964#387C22×C8311yescharacteristic, complemented
965#387C22×C8311yescharacteristic, complemented
966#387C22×C8311yescharacteristic, complemented
967#387C22×C8311yescharacteristic, complemented
968#386C22×C8311yescharacteristic
969#386C22×C8311yescharacteristic
970#386C22×C8311yescharacteristic
971#386C22×C8311yescharacteristic
972#386C22×C8311yescharacteristic
973#386C22×C8311yescharacteristic
974#386C22×C8311yescharacteristic
975#386C22×C8311yescharacteristic
976#386C22×C8311yescharacteristic
977#386C22×C8311yescharacteristic
978#386C22×C8311yescharacteristic
979#386C22×C8311yescharacteristic
980#386C22×C8311yescharacteristic
981#386C22×C8311yescharacteristic
982#386C22×C8311yescharacteristic
983#386C22×C8311yescharacteristic
984#386C22×C8311yescharacteristic
985#386C22×C8311yescharacteristic
986#386C22×C8311yescharacteristic
987#386C22×C8311yescharacteristic
988#386C22×C8311yescharacteristic
989#386C22×C8311yescharacteristic, complemented
990#386C22×C8311yescharacteristic, complemented
991#386C22×C8311yescharacteristic, complemented
992#386C22×C8311yescharacteristic, complemented
993#386C22×C8311yescharacteristic, complemented
994#386C22×C8311yescharacteristic, complemented
995#386C22×C8311yescharacteristic, complemented
996#385C22×C8311yescharacteristic
997#385C22×C8311yescharacteristic
998#385C22×C8311yescharacteristic
999#385C22×C8311yescharacteristic
1000#385C22×C8311yescharacteristic
1001#385C22×C8311yescharacteristic
1002#385C22×C8311yescharacteristic
1003#385C22×C8311yescharacteristic, complemented
1004#385C22×C8311yescharacteristic, complemented
1005#385C22×C8311yescharacteristic, complemented
1006#385C22×C8311yescharacteristic, complemented
1007#385C22×C8311yescharacteristic, complemented
1008#382C22×C8311yescharacteristic, complemented
1009#381C22×C8311yescharacteristic
1010#381C22×C8311yescharacteristic
1011#381C22×C8311yescharacteristic, complemented
1012#380C22×C8311yescharacteristic
1013#380C22×C8311yescharacteristic
1014#380C22×C8311yescharacteristic
1015#380C22×C8311yescharacteristic, complemented
1016#380C22×C8311yescharacteristic, complemented
1017#379C22×C8311yescharacteristic
1018#379C22×C8311yescharacteristic
1019C4×C22⋊C4C22×C8311yescharacteristic
1020C4×C22⋊C4C22×C8311yescharacteristic
1021C4×C22⋊C4C22×C8311yescharacteristic
1022#376C22×C8311yescharacteristic, complemented
1023C2×#95C22×C8311yescharacteristic, complemented
1024C25C23×C8311yescharacteristic
1025C22×D4C23×C8311yescharacteristic
1026C22×D4C23×C8311yescharacteristic
1027C22×D4C23×C8311yescharacteristic
1028C22×D4C23×C8311yescharacteristic
1029C22×D4C23×C8311yescharacteristic
1030C22×D4C23×C8311yescharacteristic
1031C22×D4C23×C8311yescharacteristic
1032C22×D4C23×C8311yescharacteristic
1033C22×D4C23×C8311yescharacteristic
1034C22×D4C23×C8311yescharacteristic
1035C22×D4C23×C8311yescharacteristic
1036C22×D4C23×C8311yescharacteristic
1037C22×D4C23×C8311yescharacteristic
1038C22×D4C23×C8311yescharacteristic
1039C22×D4C23×C8311yescharacteristic
1040C22×D4C23×C8311yescharacteristic
1041C22×D4C23×C8311yescharacteristic
1042C22×D4C23×C8311yescharacteristic
1043C23×C4—42no—
1044C23×C4—42no—
1045C23×C4—42no—
1046C23×C4C23×C8311yescharacteristic
1047C23×C4C23×C8311yescharacteristic
1048C23×C4C23×C8311yescharacteristic
1049C23×C4C23×C8311yescharacteristic
1050C23×C4C23×C8311yescharacteristic
1051C23×C4C23×C8311yescharacteristic
1052C23×C4C23×C8311yescharacteristic
1053C23×C4C23×C8311yescharacteristic
1054C23×C4C23×C8311yescharacteristic
1055C23×C4C23×C8311yescharacteristic
1056C23×C4C23×C8311yescharacteristic
1057C23×C4C23×C8311yescharacteristic
1058#127—24no—
1059#123—42no—
1060#123—42no—
1061#123—42no—
1062#123—42no—
1063#123—42no—
1064#123—42no—
1065#121—24no—
1066#121—42no—
1067#121—42no—
1068#121—42no—
1069#121—42no—
1070#121—42no—
1071#121—42no—
1072#121—42no—
1073#120—24no—
1074#120—42no—
1075#120—42no—
1076#120—42no—
1077C4×D4—42no—
1078C4×D4—42no—
1079C4×D4—42no—
1080C4×D4—42no—
1081C4×D4—42no—
1082C2×C4⋊C4C23×C8311yescharacteristic
1083C2×C4⋊C4C23×C8311yescharacteristic
1084C2×C4⋊C4C23×C8311yescharacteristic
1085C2×C4⋊C4C23×C8311yescharacteristic
1086C2×C4⋊C4C23×C8311yescharacteristic
1087C2×C4⋊C4C23×C8311yescharacteristic
1088C2×C4⋊C4C23×C8311yescharacteristic
1089C2×C4⋊C4C23×C8311yescharacteristic
1090C2×C4⋊C4C23×C8311yescharacteristic
1091C2×C4⋊C4C23×C8311yescharacteristic
1092C2×C4⋊C4C23×C8311yescharacteristic
1093C2×C4⋊C4C23×C8311yescharacteristic
1094C2×C4⋊C4C23×C8311yescharacteristic
1095C2×C4⋊C4C23×C8311yescharacteristic
1096C2×C4⋊C4C23×C8311yescharacteristic
1097C2×C4⋊C4C23×C8311yescharacteristic
1098C2×C4⋊C4C23×C8311yescharacteristic
1099C2×C4⋊C4C23×C8311yescharacteristic
1100C2×C4⋊C4C23×C8311yescharacteristic
1101C2×C4⋊C4C23×C8311yescharacteristic
1102C2×C4⋊C4C23×C8311yescharacteristic
1103C2×C4⋊C4C23×C8311yescharacteristic
1104C2×C4⋊C4C23×C8311yescharacteristic
1105C2×C4⋊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×C22⋊C4C23×C8311yescharacteristic
1136C2×C22⋊C4C23×C8311yescharacteristic
1137C2×C22⋊C4C23×C8311yescharacteristic
1138C2×C22⋊C4C23×C8311yescharacteristic
1139C2×C22⋊C4C23×C8311yescharacteristic
1140C2×C22⋊C4C23×C8311yescharacteristic
1141C2×C22⋊C4C23×C8311yescharacteristic
1142C2×C22⋊C4C23×C8311yescharacteristic
1143C2×C22⋊C4C23×C8311yescharacteristic
1144C2×C22⋊C4C23×C8311yescharacteristic
1145C2×C22⋊C4C23×C8311yescharacteristic
1146C2×C22⋊C4C23×C8311yescharacteristic
1147C2×C22⋊C4C23×C8311yescharacteristic
1148C2×C22⋊C4C23×C8311yescharacteristic
1149C2×C22⋊C4C23×C8311yescharacteristic
1150C2×C22⋊C4C23×C8311yescharacteristic
1151C2×C22⋊C4C23×C8311yescharacteristic
1152C2×C22⋊C4C23×C8311yescharacteristic
1153C2×C22⋊C4C23×C8311yescharacteristic
1154C2×C22⋊C4C23×C8311yescharacteristic
1155C2×C22⋊C4C23×C8311yescharacteristic
1156C2×C22⋊C4C23×C8311yescharacteristic
1157C2×C22⋊C4C23×C8311yescharacteristic
1158C2×C22⋊C4C23×C8311yescharacteristic
1159C2×C22⋊C4C23×C8311yescharacteristic
1160C2×C42C23×C8311yescharacteristic
1161C2×C42C23×C8311yescharacteristic
1162C2×C42C23×C8311yescharacteristic
1163C2×C42C23×C8311yescharacteristic
1164C2×C42C23×C8311yescharacteristic
1165C2×C42C23×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
1180#95C23×C8311yescharacteristic
1181#95C23×C8311yescharacteristic
1182#95C23×C8311yescharacteristic
1183#95C23×C8311yescharacteristic
1184#95C23×C8311yescharacteristic
1185#95C23×C8311yescharacteristic
1186#95C23×C8311yescharacteristic
1187#95C23×C8311yescharacteristic
1188#95C23×C8311yescharacteristic
1189#95C23×C8311yescharacteristic
1190#95C23×C8311yescharacteristic
1191#95C23×C8311yescharacteristic
1192#95C23×C8311yescharacteristic
1193#95C23×C8311yescharacteristic
1194#95C23×C8311yescharacteristic
1195#95C23×C8311yescharacteristic
1196#95C23×C8311yescharacteristic
1197#95C23×C8311yescharacteristic
1198#95C23×C8311yescharacteristic
1199#95C23×C8311yescharacteristic
1200#95C23×C8311yescharacteristic
1201#95C23×C8311yescharacteristic
1202#95C23×C8311yescharacteristic
1203#95C23×C8311yescharacteristic
1204#95C23×C8311yescharacteristic
1205#95C23×C8311yescharacteristic
1206C24—22no—
1207C24—22no—
1208C24—22no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24C24×C8311yescharacteristic
1214C24C24×C8311yescharacteristic
1215C24C24×C8311yescharacteristic
1216C24C24×C8311yescharacteristic
1217C24C24×C8311yescharacteristic
1218C24C24×C8311yescharacteristic
1219C24C24×C8311yescharacteristic
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4#41×C8314yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
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—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—416no—
1311C22×C4C24×C8311yescharacteristic
1312C22×C4C24×C8311yescharacteristic
1313C22×C4C24×C8311yescharacteristic
1314C22×C4C24×C8311yescharacteristic
1315C22×C4C24×C8311yescharacteristic
1316C22×C4C24×C8311yescharacteristic
1317C22×C4C24×C8311yescharacteristic
1318C22×C4C24×C8311yescharacteristic
1319C22×C4C24×C8311yescharacteristic
1320C22×C4C24×C8311yescharacteristic
1321C22×C4C24×C8311yescharacteristic
1322C22×C4C24×C8311yescharacteristic
1323C22×C4C24×C8311yescharacteristic
1324C22×C4C24×C8311yescharacteristic
1325C22×C4C24×C8311yescharacteristic
1326C22×C4C24×C8311yescharacteristic
1327C22×C4C24×C8311yescharacteristic
1328C22×C4C24×C8311yescharacteristic
1329C22×C4C24×C8311yescharacteristic
1330C22×C4C24×C8311yescharacteristic
1331C22×C4C24×C8311yescharacteristic
1332C22×C4C24×C8311yescharacteristic
1333C22×C4C24×C8311yescharacteristic
1334C22×C4C24×C8311yescharacteristic
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C42—22no—
1414C42—22no—
1415C42—41no—
1416C42—41no—
1417C42—41no—
1418C42—41no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23C2×#41×C8312yes—
1472C23C2×#41×C8312yes—
1473C23H(5,𝔽2)×C8312yes—
1474C23H(5,𝔽2)×C8312yes—
1475C23C25×C8311yescharacteristic
1476D4—44no—
1477D4—44no—
1478D4—44no—
1479D4—44no—
1480D4—44no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493D4—82no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4C2×#41×C8312yes—
1576C2×C4H(5,𝔽2)×C8312yes—
1577C2×C4H(5,𝔽2)×C8312yes—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—416no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22C22×#41×C8311yescharacteristic
1629C22C2×H(5,𝔽2)×C8311yescharacteristic
1630C22C2×H(5,𝔽2)×C8311yescharacteristic
1631C22C2×H(5,𝔽2)×C8311yescharacteristic
1632C22C2×H(5,𝔽2)×C8311yescharacteristic
1633C22#585×C8311yescharacteristic
1634C22#585×C8311yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—42no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2C83×#345911yescharacteristic
1667C2C83×#351311yescharacteristic
1668C2C83×#351911yescharacteristic
1669C2C83×#353211yescharacteristic
1670C2C83×#353411yescharacteristic
1671C2C83×#353911yescharacteristic
1672C2C83×#354211yescharacteristic
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×#2797C2semidirect
4. C83×#2782C2semidirect
5. C83×#2780C2semidirect
6. C83×#2750C2semidirect
7. C83×#2744C2semidirect
8. C83×#2708C2semidirect
9. C83×#2697C2semidirect
10. C83×#2693C2semidirect
11. C83×#2693C2semidirect
12. C83×#2688C2semidirect
13. C83×#2688C2semidirect
14. C83×#2682C2semidirect
15. C83×#2678C2semidirect
16. C83×#2673C2semidirect
17. C83×#2669C2semidirect
18. C83×#2668C2semidirect
19. C83×#2649C2semidirect
20. C83×#2648C2semidirect
21. C83×#2530C2semidirect
22. C83×#2526C2semidirect
23. C83×#2464C2semidirect
24. C83×#2457C2semidirect
25. C83×#2456C2semidirect
26. C83×#2456C2semidirect
27. C83×#2444C2semidirect
28. C83×#2425C2semidirect
29. C83×#2328C2semidirect
30. C83×#2325C2semidirect
31. C4×#120×C83C2semidirect
38. C2×#123×C83C22semidirect
39. C2×#123×C83C22semidirect
55. C2×C4×D4×C83C22semidirect
56. C2×C4×D4×C83C22semidirect
57. #400×C83C22semidirect
58. #400×C83C22semidirect
59. #400×C83C22semidirect
60. #400×C83C22semidirect
61. #400×C83C22semidirect
62. #400×C83C22semidirect
63. #400×C83C22semidirect
64. #400×C83C22semidirect
66. #398×C83C22semidirect
67. #398×C83C22semidirect
73. #397×C83C22semidirect
74. #397×C83C22semidirect
75. #397×C83C22semidirect
76. #397×C83C22semidirect
77. #397×C83C22semidirect
81. #396×C83C22semidirect
82. #396×C83C22semidirect
83. #396×C83C22semidirect
84. #396×C83C22semidirect
93. #394×C83C22semidirect
94. #394×C83C22semidirect
102. #392×C83C22semidirect
103. #392×C83C22semidirect
104. #392×C83C22semidirect
108. #390×C83C22semidirect
109. #390×C83C22semidirect
110. #389×C83C22semidirect
111. #389×C83C22semidirect
117. #388×C83C22semidirect
118. #388×C83C22semidirect
119. #388×C83C22semidirect
120. #388×C83C22semidirect
121. #388×C83C22semidirect
122. #388×C83C22semidirect
123. #388×C83C22semidirect
124. #387×C83C22semidirect
125. #387×C83C22semidirect
126. #387×C83C22semidirect
127. #387×C83C22semidirect
128. #387×C83C22semidirect
129. #387×C83C22semidirect
130. #387×C83C22semidirect
152. #386×C83C22semidirect
153. #386×C83C22semidirect
154. #386×C83C22semidirect
155. #386×C83C22semidirect
156. #386×C83C22semidirect
157. #386×C83C22semidirect
158. #386×C83C22semidirect
166. #385×C83C22semidirect
167. #385×C83C22semidirect
168. #385×C83C22semidirect
169. #385×C83C22semidirect
170. #385×C83C22semidirect
171. #382×C83C22semidirect
174. #381×C83C22semidirect
178. #380×C83C22semidirect
179. #380×C83C22semidirect
185. #376×C83C22semidirect
186. C2×#95×C83C22semidirect
822. #36856C83direct (N × H)
837. #2849C2×C83semidirect
838. #2847C2×C83semidirect
839. #2797C2×C83semidirect
840. #2782C2×C83semidirect
841. #2780C2×C83semidirect
842. #2750C2×C83semidirect
843. #2744C2×C83semidirect
844. #2708C2×C83semidirect
845. #2697C2×C83semidirect
846. #2693C2×C83semidirect
847. #2693C2×C83semidirect
848. #2688C2×C83semidirect
849. #2688C2×C83semidirect
850. #2682C2×C83semidirect
851. #2678C2×C83semidirect
852. #2673C2×C83semidirect
853. #2669C2×C83semidirect
854. #2668C2×C83semidirect
855. #2649C2×C83semidirect
856. #2648C2×C83semidirect
857. #2530C2×C83semidirect
858. #2526C2×C83semidirect
859. #2464C2×C83semidirect
860. #2457C2×C83semidirect
861. #2456C2×C83semidirect
862. #2456C2×C83semidirect
863. #2444C2×C83semidirect
864. #2425C2×C83semidirect
865. #2328C2×C83semidirect
866. #2325C2×C83semidirect
867. C4×#120C2×C83semidirect
868. C83#36856direct (N × H)
875. C2×#123C22×C83semidirect
876. C2×#123C22×C83semidirect
892. C2×C4×D4C22×C83semidirect
893. C2×C4×D4C22×C83semidirect
894. #400C22×C83semidirect
895. #400C22×C83semidirect
896. #400C22×C83semidirect
897. #400C22×C83semidirect
898. #400C22×C83semidirect
899. #400C22×C83semidirect
900. #400C22×C83semidirect
901. #400C22×C83semidirect
903. #398C22×C83semidirect
904. #398C22×C83semidirect
910. #397C22×C83semidirect
911. #397C22×C83semidirect
912. #397C22×C83semidirect
913. #397C22×C83semidirect
914. #397C22×C83semidirect
918. #396C22×C83semidirect
919. #396C22×C83semidirect
920. #396C22×C83semidirect
921. #396C22×C83semidirect
930. #394C22×C83semidirect
931. #394C22×C83semidirect
939. #392C22×C83semidirect
940. #392C22×C83semidirect
941. #392C22×C83semidirect
945. #390C22×C83semidirect
946. #390C22×C83semidirect
947. #389C22×C83semidirect
948. #389C22×C83semidirect
954. #388C22×C83semidirect
955. #388C22×C83semidirect
956. #388C22×C83semidirect
957. #388C22×C83semidirect
958. #388C22×C83semidirect
959. #388C22×C83semidirect
960. #388C22×C83semidirect
961. #387C22×C83semidirect
962. #387C22×C83semidirect
963. #387C22×C83semidirect
964. #387C22×C83semidirect
965. #387C22×C83semidirect
966. #387C22×C83semidirect
967. #387C22×C83semidirect
989. #386C22×C83semidirect
990. #386C22×C83semidirect
991. #386C22×C83semidirect
992. #386C22×C83semidirect
993. #386C22×C83semidirect
994. #386C22×C83semidirect
995. #386C22×C83semidirect
1003. #385C22×C83semidirect
1004. #385C22×C83semidirect
1005. #385C22×C83semidirect
1006. #385C22×C83semidirect
1007. #385C22×C83semidirect
1008. #382C22×C83semidirect
1011. #381C22×C83semidirect
1015. #380C22×C83semidirect
1016. #380C22×C83semidirect
1022. #376C22×C83semidirect
1023. C2×#95C22×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×#27972
C83×#27822
C83×#27802
C83×#27502
C83×#27442
C83×#27082
C83×#26972
C83×#26932
C83×#26882
C83×#26822
C83×#26782
C83×#26732
C83×#26692
C83×#26682
C83×#26492
C83×#26482
C83×#25302
C83×#25262
C83×#24642
C83×#24572
C83×#24562
C83×#24442
C83×#24252
C83×#23282
C83×#23252
C4×#120×C832
#3685683