Finite Group Databasebeta

← #35611617

Subgroups — #35611617

Order 21248.

2130 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915746C211yesmaximal, characteristic, complemented
2#24915744C211yesmaximal, characteristic, complemented
3#24914607C211yesmaximal, characteristic, complemented
4#24914598C211yesmaximal, characteristic, complemented
5#24914595C211yesmaximal, characteristic, complemented
6#24914569C211yesmaximal, characteristic, complemented
7#24914562C211yesmaximal, characteristic, complemented
8#24914558C211yesmaximal, characteristic, complemented
9#24914557C211yesmaximal, characteristic, complemented
10#24914052C211yesmaximal, characteristic, complemented
11#24914050C211yesmaximal, characteristic, complemented
12#24914050C211yesmaximal, characteristic, complemented
13#24914047C211yesmaximal, characteristic, complemented
14#24913906C211yesmaximal, characteristic, complemented
15#24913902C211yesmaximal, characteristic, complemented
16#24913901C211yesmaximal, characteristic, complemented
17#24913897C211yesmaximal, characteristic, complemented
18#24913566C211yesmaximal, characteristic, complemented
19#24913434C211yesmaximal, characteristic, complemented
20#24911220C211yesmaximal, characteristic, complemented
21#24911214C211yesmaximal, characteristic, complemented
22#24911214C211yesmaximal, characteristic, complemented
23#24911212C211yesmaximal, characteristic, complemented
24#24911004C211yesmaximal, characteristic, complemented
25#24910998C211yesmaximal, characteristic, complemented
26#24910994C211yesmaximal, characteristic, complemented
27#24910992C211yesmaximal, characteristic, complemented
28#24910162C211yesmaximal, characteristic, complemented
29#24910160C211yesmaximal, characteristic, complemented
30#381×D83C211yesmaximal, characteristic, complemented
31C83×#2743C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33C2×#14581767C2211yescharacteristic
34C2×#14581767C2211yescharacteristic
35C2×#14581767C2211yescharacteristic
36C2×#14581767C2211yescharacteristic
37C2×#14581767C2211yescharacteristic
38C2×#14581766C2211yescharacteristic
39C2×#14581766C2211yescharacteristic
40C2×#14581765C2211yescharacteristic
41C2×#14581765C2211yescharacteristic
42C2×#14581765C2211yescharacteristic
43C2×#14581765C2211yescharacteristic
44C2×#14581765C2211yescharacteristic
45C2×#14581764C2211yescharacteristic
46C2×#14581763C2211yescharacteristic
47C2×#14581762C2211yescharacteristic
48C2×#14581762C2211yescharacteristic
49C2×#14581762C2211yescharacteristic
50C2×#14581760C2211yescharacteristic
51C2×C4×D332C2211yescharacteristic
52C2×#14581754C2211yescharacteristic
53C2×#14581754C2211yescharacteristic
54C2×C4×C22⋊D83C2211yescharacteristic
55C2×C22⋊C4×D83C2211yescharacteristic
56C2×C22⋊C4×D83C2211yescharacteristic
57#19127642C2211yescharacteristic, complemented
58#19127642C2211yescharacteristic, complemented
59#19127641C2211yescharacteristic, complemented
60#19127641C2211yescharacteristic, complemented
61#19127640C2211yescharacteristic, complemented
62#19127636C2211yescharacteristic, complemented
63#19127636C2211yescharacteristic, complemented
64#19127636C2211yescharacteristic, complemented
65#19127635C2211yescharacteristic, complemented
66#19127635C2211yescharacteristic, complemented
67#19127634C2211yescharacteristic, complemented
68#19127633C2211yescharacteristic, complemented
69#19127630C2211yescharacteristic, complemented
70#19127629C2211yescharacteristic, complemented
71#19127628C2211yescharacteristic, complemented
72#19127628C2211yescharacteristic, complemented
73#19127627C2211yescharacteristic, complemented
74#19127627C2211yescharacteristic, complemented
75#19127627C2211yescharacteristic, complemented
76#19127626C2211yescharacteristic, complemented
77#19127624C2211yescharacteristic
78#19127623C2211yescharacteristic
79#19127623C2211yescharacteristic
80#19127619C2211yescharacteristic
81#19127619C2211yescharacteristic
82#19127619C2211yescharacteristic, complemented
83#19127619C2211yescharacteristic, complemented
84#19127618C2211yescharacteristic
85#19127617C2211yescharacteristic
86#19127617C2211yescharacteristic
87#19127617C2211yescharacteristic, complemented
88#19127616C2211yescharacteristic
89#19127616C2211yescharacteristic
90#19127616C2211yescharacteristic, complemented
91#19127611C2211yescharacteristic
92#19127611C2211yescharacteristic, complemented
93#19127610C2211yescharacteristic
94#19127610C2211yescharacteristic
95#19127610C2211yescharacteristic, complemented
96#19127610C2211yescharacteristic, complemented
97#19127610C2211yescharacteristic, complemented
98#19127609C2211yescharacteristic
99#19127603C2211yescharacteristic
100#19127601C2211yescharacteristic
101#19127601C2211yescharacteristic
102#19127601C2211yescharacteristic
103#19127595C2211yescharacteristic
104#19127594C2211yescharacteristic, complemented
105#19127593C2211yescharacteristic, complemented
106#19127593C2211yescharacteristic, complemented
107#19127593C2211yescharacteristic, complemented
108#19127592C2211yescharacteristic, complemented
109#19127591C2211yescharacteristic
110#19127590C2211yescharacteristic
111#19127590C2211yescharacteristic, complemented
112#19127590C2211yescharacteristic, complemented
113#19127587C2211yescharacteristic, complemented
114#19127585C2211yescharacteristic, complemented
115#19127584C2211yescharacteristic, complemented
116#19127583C2211yescharacteristic, complemented
117#19127582C2211yescharacteristic, complemented
118#19127582C2211yescharacteristic, complemented
119#19127582C2211yescharacteristic, complemented
120#19127580C2211yescharacteristic
121#19127580C2211yescharacteristic, complemented
122#19127580C2211yescharacteristic, complemented
123#19127579C2211yescharacteristic
124#19127579C2211yescharacteristic
125#19127579C2211yescharacteristic
126#19127579C2211yescharacteristic
127#19127579C2211yescharacteristic
128#19127579C2211yescharacteristic
129#19127579C2211yescharacteristic
130#19127579C2211yescharacteristic
131#19127579C2211yescharacteristic
132#19127579C2211yescharacteristic
133#19127579C2211yescharacteristic
134#19127579C2211yescharacteristic, complemented
135#19127579C2211yescharacteristic, complemented
136#19127579C2211yescharacteristic, complemented
137#19127579C2211yescharacteristic, complemented
138#19127578C2211yescharacteristic
139#19127578C2211yescharacteristic
140#19127577C2211yescharacteristic
141#19127577C2211yescharacteristic
142#19127577C2211yescharacteristic
143#19127577C2211yescharacteristic
144#19127577C2211yescharacteristic, complemented
145#19127577C2211yescharacteristic, complemented
146#19127575C2211yescharacteristic
147#19127575C2211yescharacteristic
148#19127575C2211yescharacteristic
149#19127575C2211yescharacteristic, complemented
150#19127572C2211yescharacteristic
151#19127572C2211yescharacteristic, complemented
152#19127572C2211yescharacteristic, complemented
153#19127564C2211yescharacteristic
154#19127563C2211yescharacteristic
155#19127563C2211yescharacteristic
156#19127563C2211yescharacteristic
157#19127563C2211yescharacteristic
158#19127563C2211yescharacteristic, complemented
159#19127563C2211yescharacteristic, complemented
160#19127563C2211yescharacteristic, complemented
161#19127562C2211yescharacteristic
162#19127562C2211yescharacteristic
163#19127560C2211yescharacteristic
164#19127560C2211yescharacteristic
165#19127559C2211yescharacteristic
166#19127558C2211yescharacteristic
167#19127558C2211yescharacteristic
168#95×D83C2211yescharacteristic
169#95×D83C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172#400×C83C2211yescharacteristic, complemented
173#400×C83C2211yescharacteristic, complemented
174#400×C83C2211yescharacteristic, complemented
175#399×C83C2211yescharacteristic, complemented
176#396×C83C2211yescharacteristic
177#394×C83C2211yescharacteristic
178#388×C83C2211yescharacteristic
179#388×C83C2211yescharacteristic, complemented
180#387×C83C2211yescharacteristic, complemented
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#385×C83C2211yescharacteristic, complemented
184#381×C83C2211yescharacteristic
185#381×C83C2211yescharacteristic, complemented
186#380×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C22×D332C2311yescharacteristic
189C22×D332C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C22×C4×D83—24no—
207C22×C4×D83—42no—
208C22×C4×D83—42no—
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220#14581767—24no—
221#14581767—42no—
222#14581767—42no—
223#14581767—42no—
224#14581767—42no—
225#14581766—42no—
226#14581766—42no—
227#14581765—24no—
228#14581765—42no—
229#14581765—42no—
230#14581765—42no—
231#14581765—42no—
232#14581764—42no—
233#14581763—42no—
234#14581762—42no—
235#14581762—42no—
236#14581762—42no—
237#14581760—42no—
238C4×D332—42no—
239#14581754—42no—
240#14581754—42no—
241C4×C22⋊D83—42no—
242C2×C4⋊Dic83C2311yescharacteristic
243C2×C4⋊Dic83C2311yescharacteristic
244C2×C4⋊Dic83C2311yescharacteristic
245C2×C4⋊Dic83C2311yescharacteristic
246C2×C4⋊Dic83C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C22⋊C4×D83—42no—
300C22⋊C4×D83—42no—
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C23×C4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337C2×C4⋊C4×C83C2311yescharacteristic
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C4⋊C4×C83C2311yescharacteristic
340C2×C4⋊C4×C83C2311yescharacteristic
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C22⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C42×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
369C23×D83—22no—
370C23×D83—22no—
371C23×D83—22no—
372C23×D83—22no—
373C23×D83—22no—
374C23×D83—41no—
375C23×D83—41no—
376C23×D83C2411yescharacteristic
377C23×D83C2411yescharacteristic
378C23×D83C2411yescharacteristic
379C23×D83C2411yescharacteristic
380C23×D83C2411yescharacteristic
381C2×D332—22no—
382C2×D332—22no—
383C2×D332—22no—
384C2×D332—22no—
385C2×D332—22no—
386C2×D332—22no—
387C2×D332—22no—
388C2×D332—22no—
389C2×D332—22no—
390C2×D332—22no—
391C2×D332—22no—
392C2×D332—22no—
393C2×D332—22no—
394C2×D332—41no—
395C2×D332—41no—
396C2×D332—41no—
397C2×D332—41no—
398C2×D332—41no—
399C2×D332—41no—
400C2×D332—41no—
401C2×D332—41no—
402C2×D332—41no—
403C2×D332—41no—
404C2×D332—41no—
405C2×D332—41no—
406C2×D332—41no—
407C2×D332—41no—
408C2×C22⋊D83—22no—
409C2×C22⋊D83—22no—
410C2×C22⋊D83—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—22no—
415C2×C22⋊D83—22no—
416C2×C22⋊D83—41no—
417C2×C22⋊D83—41no—
418C2×C22⋊D83—41no—
419C2×C22⋊D83—41no—
420C2×C22⋊D83—41no—
421C2×C22⋊D83—41no—
422C2×C22⋊D83—41no—
423C2×C22⋊D83—41no—
424C2×C22⋊D83—41no—
425C2×C22⋊D83—41no—
426C2×C22⋊D83—41no—
427C2×C22⋊D83—41no—
428C2×C22⋊D83—41no—
429C2×C22⋊D83—41no—
430C2×C22⋊D83—41no—
431C2×C22⋊D83—41no—
432C22×Dic83—22no—
433C22×Dic83—22no—
434C22×Dic83—41no—
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
440C22×Dic83C2411yescharacteristic
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C2×C4×D83—22no—
447C2×C4×D83—22no—
448C2×C4×D83—22no—
449C2×C4×D83—22no—
450C2×C4×D83—22no—
451C2×C4×D83—22no—
452C2×C4×D83—22no—
453C2×C4×D83—22no—
454C2×C4×D83—22no—
455C2×C4×D83—41no—
456C2×C4×D83—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83—41no—
460C2×C4×D83—41no—
461C2×C4×D83—416no—
462C2×C4×D83—41no—
463C2×C4×D83—41no—
464C2×C4×D83—41no—
465C2×C4×D83—41no—
466C2×C4×D83—41no—
467C2×C4×D83—41no—
468C2×C4×D83—41no—
469C2×C4×D83—41no—
470C2×C4×D83—41no—
471C2×C4×D83—41no—
472C2×C4×D83—41no—
473C2×C4×D83—41no—
474C2×C4×D83—41no—
475C2×C4×D83—41no—
476C2×C4×D83—41no—
477C2×C4×D83—41no—
478C2×C4×D83—41no—
479C2×C4×D83#4114yes—
480C4⋊Dic83—41no—
481C4⋊Dic83—41no—
482C4⋊Dic83—41no—
483C4⋊Dic83—41no—
484C4⋊Dic83—41no—
485Dic83⋊C4—22no—
486Dic83⋊C4—41no—
487Dic83⋊C4—41no—
488Dic83⋊C4—41no—
489Dic83⋊C4—41no—
490Dic83⋊C4—41no—
491Dic83⋊C4—41no—
492Dic83⋊C4—41no—
493Dic83⋊C4—41no—
494Dic83⋊C4—41no—
495C22⋊Dic83—22no—
496C22⋊Dic83—41no—
497C22⋊Dic83—41no—
498C22⋊Dic83—41no—
499C22⋊Dic83—41no—
500C22⋊Dic83—41no—
501(C2×D83)⋊C4—22no—
502(C2×D83)⋊C4—22no—
503(C2×D83)⋊C4—22no—
504(C2×D83)⋊C4—22no—
505(C2×D83)⋊C4—22no—
506(C2×D83)⋊C4—22no—
507(C2×D83)⋊C4—22no—
508(C2×D83)⋊C4—22no—
509(C2×D83)⋊C4—22no—
510(C2×D83)⋊C4—41no—
511(C2×D83)⋊C4—41no—
512(C2×D83)⋊C4—41no—
513(C2×D83)⋊C4—41no—
514(C2×D83)⋊C4—41no—
515(C2×D83)⋊C4—41no—
516(C2×D83)⋊C4—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4—41no—
521(C2×D83)⋊C4—41no—
522(C2×D83)⋊C4—41no—
523(C2×D83)⋊C4—41no—
524(C2×D83)⋊C4—41no—
525(C2×D83)⋊C4—41no—
526(C2×D83)⋊C4—41no—
527(C2×D83)⋊C4—41no—
528(C2×D83)⋊C4—41no—
529(C2×D83)⋊C4—41no—
530(C2×D83)⋊C4—41no—
531(C2×D83)⋊C4—41no—
532(C2×D83)⋊C4—41no—
533(C2×D83)⋊C4—41no—
534(C2×D83)⋊C4—41no—
535(C2×D83)⋊C4—41no—
536(C2×D83)⋊C4—41no—
537C4×Dic83—41no—
538C4×Dic83—41no—
539C4×Dic83—41no—
540C24×C83C2411yescharacteristic
541C24×C83C2411yescharacteristic
542C2×D4×C83—22no—
543C2×D4×C83—41no—
544C2×D4×C83—41no—
545C22×C4×C83—22no—
546C22×C4×C83—22no—
547C22×C4×C83—41no—
548C22×C4×C83—41no—
549C22×C4×C83—41no—
550C22×C4×C83—41no—
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22×C4×C83C2411yescharacteristic
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564C4⋊C4×C83—22no—
565C4⋊C4×C83—41no—
566C4⋊C4×C83—41no—
567C4⋊C4×C83—41no—
568C4⋊C4×C83—41no—
569C4⋊C4×C83—41no—
570C4⋊C4×C83—41no—
571C22⋊C4×C83—22no—
572C22⋊C4×C83—22no—
573C22⋊C4×C83—41no—
574C22⋊C4×C83—41no—
575C22⋊C4×C83—41no—
576C22⋊C4×C83—41no—
577C22⋊C4×C83—41no—
578C22⋊C4×C83—41no—
579C22⋊C4×C83—41no—
580C22⋊C4×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×C83H(5,𝔽2)12yes—
596C23×C83C2511yescharacteristic
597C22×D83—21no—
598C22×D83—21no—
599C22×D83—21no—
600C22×D83—21no—
601C22×D83—28no—
602C22×D83—21no—
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
606C22×D83—21no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—21no—
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—21no—
623C22×D83—21no—
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×D83—21no—
629C22×D83—44no—
630C22×D83—44no—
631C22×D83—44no—
632C22×D83—44no—
633C22×D83—44no—
634C22×D83—44no—
635C22×D83C2×#4112yes—
636C22×D83H(5,𝔽2)12yes—
637C22×D83H(5,𝔽2)12yes—
638C22×D83H(5,𝔽2)12yes—
639D4×C83—82no—
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—44no—
679C2×C4×C83—82no—
680C2×C4×C83C2×#4112yes—
681C22⋊D83—44no—
682C22⋊D83—82no—
683C22⋊D83—82no—
684C22⋊D83—82no—
685C22⋊D83—82no—
686C22⋊D83—82no—
687C22⋊D83—82no—
688C22⋊D83—82no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717C2×Dic83—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—44no—
722C2×Dic83C2×#4112yes—
723D332—44no—
724D332—44no—
725D332—44no—
726D332—82no—
727D332—82no—
728D332—82no—
729D332—82no—
730D332—82no—
731D332—82no—
732C4×D83—44no—
733C4×D83—44no—
734C4×D83—44no—
735C4×D83—44no—
736C4×D83—82no—
737C4×D83—82no—
738C4×D83—82no—
739C4×D83—82no—
740C4×D83—82no—
741C4×D83—82no—
742C4×D83—82no—
743C22×C83—22no—
744C22×C83—22no—
745C22×C83—22no—
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×C83C22×#4111yescharacteristic
758C22×C83C2×H(5,𝔽2)11yescharacteristic
759C22×C83C2×H(5,𝔽2)11yescharacteristic
760C22×C83C2×H(5,𝔽2)11yescharacteristic
761C22×C83C2×H(5,𝔽2)11yescharacteristic
762C22×C83#58511yescharacteristic
763C22×C83#58511yescharacteristic
764C2×D83—22no—
765C2×D83—22no—
766C2×D83—22no—
767C2×D83—22no—
768C2×D83—22no—
769C2×D83—22no—
770C2×D83—22no—
771C2×D83—22no—
772C2×D83—22no—
773C2×D83—416no—
774C2×D83—41no—
775C2×D83—41no—
776C2×D83—41no—
777C2×D83—41no—
778C2×D83—41no—
779C2×D83—41no—
780C2×D83—41no—
781C2×D83—41no—
782C2×D83—41no—
783C2×D83—41no—
784C2×D83—41no—
785C2×D83—41no—
786C2×D83—41no—
787C2×D83—41no—
788C2×D83—41no—
789C2×D83—41no—
790C2×D83—41no—
791C2×D83—41no—
792C2×D83—41no—
793C2×D83—41no—
794C2×D83—41no—
795C2×D83—41no—
796C2×D83—41no—
797C2×D83—41no—
798C2×D83—41no—
799C2×D83#54014yes—
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—
813Dic83—22no—
814Dic83—41no—
815Dic83—41no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822Dic83—41no—
823Dic83—41no—
824#36731—831nomaximal, Sylow
825C2×C83—42no—
826C2×C83—81no—
827C2×C83C2×#54011yescharacteristic
828C2×C83#349011yescharacteristic
829C2×C83#349311yescharacteristic
830C2×C83#353411yescharacteristic
831C2×C83#353411yescharacteristic
832C2×C83#353411yescharacteristic
833C2×C83#353411yescharacteristic
834D83—24no—
835D83—42no—
836D83—81no—
837D83—81no—
838D83—81no—
839#2847—831no—
840#2847—831no—
841#2743—831no—
842#2743—831no—
843#2743—831no—
844#2743D8311yescharacteristic, complemented
845#2740—831no—
846#2740—831no—
847#2740—831no—
848#2740—831no—
849#2699—831no—
850#2699—831no—
851#2699—831no—
852#2699—831no—
853#2688—831no—
854#2688—831no—
855#2688—831no—
856#2688—831no—
857#2656—831no—
858#2646—831no—
859#2444—831no—
860#2444—831no—
861#2444—831no—
862#2444—831no—
863#2424—831no—
864#2424—831no—
865#2424—831no—
866#2424—831no—
867#2325—831no—
868#2325—831no—
869C2×#381—831no—
870C83#3673111yescharacteristic, complemented, Sylow
871C24×C4—831no—
872C2×#121—831no—
873C2×#121—831no—
874C2×#121—831no—
875C2×#121—831no—
876C2×#121—831no—
877C2×#121—831no—
878C2×#121—831no—
879C2×#121—831no—
880C2×#121—831no—
881C2×#121—831no—
882C2×#121—831no—
883C2×#121—831no—
884C2×#121—831no—
885C2×#121—831no—
886C2×#120—831no—
887C2×#120—831no—
888C2×#120—831no—
889C2×#120—831no—
890C2×C4×D4—831no—
891C2×C4×D4—831no—
892C2×C4×D4—831no—
893C2×C4×D4—831no—
894C22×C22⋊C4—831no—
895C22×C22⋊C4—831no—
896#400—831no—
897#400—831no—
898#400—831no—
899#400—831no—
900#400—831no—
901#400C2×D8311yescharacteristic, complemented
902#400C2×D8311yescharacteristic, complemented
903#400C2×D8311yescharacteristic, complemented
904#399—831no—
905#399—831no—
906#399—831no—
907#399C2×D8311yescharacteristic, complemented
908#398—831no—
909#398—831no—
910#398—831no—
911#398—831no—
912#397—831no—
913#397—831no—
914#397—831no—
915#397—831no—
916#397—831no—
917#397—831no—
918#397—831no—
919#397—831no—
920#396—831no—
921#396—831no—
922#396—831no—
923#396C2×D8311yescharacteristic
924#394—831no—
925#394—831no—
926#394—831no—
927#394—831no—
928#394—831no—
929#394—831no—
930#394—831no—
931#394—831no—
932#394—831no—
933#394—831no—
934#394—831no—
935#394C2×D8311yescharacteristic
936#392—831no—
937#392—831no—
938#392—831no—
939#392—831no—
940#392—831no—
941#392—831no—
942#392—831no—
943#392—831no—
944#390—831no—
945#390—831no—
946#390—831no—
947#390—831no—
948#388—831no—
949#388—831no—
950#388—831no—
951#388—831no—
952#388—831no—
953#388—831no—
954#388—831no—
955#388—831no—
956#388—831no—
957#388—831no—
958#388C2×D8311yescharacteristic
959#388C2×D8311yescharacteristic, complemented
960#387—831no—
961#387—831no—
962#387—831no—
963#387—831no—
964#387—831no—
965#387—831no—
966#387—831no—
967#387C2×D8311yescharacteristic, complemented
968#386—831no—
969#386—831no—
970#386—831no—
971#386—831no—
972#386—831no—
973#386—831no—
974#386—831no—
975#386—831no—
976#386—831no—
977#386—831no—
978#386—831no—
979#386—831no—
980#386—831no—
981#386—831no—
982#386—831no—
983#386—831no—
984#386—831no—
985#386—831no—
986#386—831no—
987#386—831no—
988#386—831no—
989#386—831no—
990#386—831no—
991#386—831no—
992#386—831no—
993#386—831no—
994#386C2×D8311yescharacteristic
995#386C2×D8311yescharacteristic
996#385—831no—
997#385—831no—
998#385—831no—
999#385—831no—
1000#385—831no—
1001#385—831no—
1002#385—831no—
1003#385C2×D8311yescharacteristic, complemented
1004#381—831no—
1005#381—831no—
1006#381—831no—
1007#381—831no—
1008#381—831no—
1009#381—831no—
1010#381—831no—
1011#381—831no—
1012#381—831no—
1013#381—831no—
1014#381C2×D8311yescharacteristic
1015#381C2×D8311yescharacteristic, complemented
1016#380—831no—
1017#380—831no—
1018#380—831no—
1019#380—831no—
1020#380—831no—
1021#380C2×D8311yescharacteristic
1022C2×#95—831no—
1023C2×#95—831no—
1024C2×#95—831no—
1025C2×#95—831no—
1026C25—831no—
1027C22×D4—831no—
1028C22×D4—831no—
1029C22×D4—831no—
1030C22×D4—831no—
1031C22×D4—831no—
1032C22×D4—831no—
1033C22×D4—831no—
1034C22×D4—831no—
1035C22×D4—831no—
1036C22×D4—831no—
1037C22×D4—831no—
1038C22×D4—831no—
1039C22×D4—831no—
1040C22×D4—831no—
1041C22×D4—831no—
1042C22×D4—831no—
1043C22×D4—831no—
1044C22×D4C22×D8311yescharacteristic
1045C23×C4—3322no—
1046C23×C4—3322no—
1047C23×C4—831no—
1048C23×C4—831no—
1049C23×C4—831no—
1050C23×C4—831no—
1051C23×C4—831no—
1052C23×C4—831no—
1053C23×C4—831no—
1054C23×C4—831no—
1055C23×C4—831no—
1056C23×C4—831no—
1057C23×C4—831no—
1058C23×C4—831no—
1059C23×C4—1664no—
1060C23×C4C22×D8311yescharacteristic
1061C23×C4C22×D8311yescharacteristic
1062#121—3322no—
1063#121—3322no—
1064#121—3322no—
1065#121—3322no—
1066#121—3322no—
1067#121—3322no—
1068#121—3322no—
1069#121—3322no—
1070#121—3322no—
1071#121—3322no—
1072#121—3322no—
1073#121—3322no—
1074#121—1664no—
1075#121—1664no—
1076#120—3322no—
1077#120—3322no—
1078#120—3322no—
1079#120—3322no—
1080C4×D4—3322no—
1081C4×D4—3322no—
1082C4×D4—3322no—
1083C4×D4—3322no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4—831no—
1089C2×C4⋊C4—831no—
1090C2×C4⋊C4—831no—
1091C2×C4⋊C4—831no—
1092C2×C4⋊C4—831no—
1093C2×C4⋊C4—831no—
1094C2×C4⋊C4—831no—
1095C2×C4⋊C4—831no—
1096C2×C4⋊C4—831no—
1097C2×C4⋊C4—831no—
1098C2×C4⋊C4—831no—
1099C2×C4⋊C4C22×D8311yescharacteristic
1100C2×C4⋊C4C22×D8311yescharacteristic
1101C2×C4⋊C4C22×D8311yescharacteristic
1102C2×C4⋊C4C22×D8311yescharacteristic
1103C2×C4⋊C4C22×D8311yescharacteristic
1104C2×C4⋊C4C22×D8311yescharacteristic
1105C2×C4⋊C4C22×D8311yescharacteristic
1106C2×C22⋊C4—3322no—
1107C2×C22⋊C4—3322no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—831no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4—831no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—831no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4—831no—
1138C2×C22⋊C4—831no—
1139C2×C22⋊C4—831no—
1140C2×C22⋊C4—831no—
1141C2×C22⋊C4—831no—
1142C2×C22⋊C4—831no—
1143C2×C22⋊C4—831no—
1144C2×C22⋊C4—831no—
1145C2×C22⋊C4—831no—
1146C2×C22⋊C4—831no—
1147C2×C22⋊C4—831no—
1148C2×C22⋊C4—831no—
1149C2×C22⋊C4—831no—
1150C2×C22⋊C4C22×D8311yescharacteristic
1151C2×C22⋊C4C22×D8311yescharacteristic
1152C2×C22⋊C4C22×D8311yescharacteristic
1153C2×C22⋊C4C22×D8311yescharacteristic
1154C2×C22⋊C4C22×D8311yescharacteristic
1155C2×C22⋊C4C22×D8311yescharacteristic
1156C2×C22⋊C4C22×D8311yescharacteristic
1157C2×C22⋊C4C22×D8311yescharacteristic
1158C2×C22⋊C4C22×D8311yescharacteristic
1159C2×C22⋊C4C22×D8311yescharacteristic
1160C2×C42—831no—
1161C2×C42—831no—
1162C2×C42—831no—
1163C2×C42C22×D8311yescharacteristic
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95C22×D8311yescharacteristic
1195#95C22×D8311yescharacteristic
1196#95C22×D8311yescharacteristic
1197#95C22×D8311yescharacteristic
1198#95C22×D8311yescharacteristic
1199#95C22×D8311yescharacteristic
1200#95C22×D8311yescharacteristic
1201#95C22×D8311yescharacteristic
1202#95C22×D8311yescharacteristic
1203#95C22×D8311yescharacteristic
1204#95C22×D8311yescharacteristic
1205#95C22×D8311yescharacteristic
1206#95C22×D8311yescharacteristic
1207#95C22×D8311yescharacteristic
1208C24—3321no—
1209C24—3321no—
1210C24—831no—
1211C24—831no—
1212C24—831no—
1213C24—831no—
1214C24—831no—
1215C24—1662no—
1216C24—1662no—
1217C24—1662no—
1218C24—1662no—
1219C24—1662no—
1220C24C23×D8311yescharacteristic
1221C24C23×D8311yescharacteristic
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—3321no—
1226C2×D4—3321no—
1227C2×D4—3321no—
1228C2×D4—3321no—
1229C2×D4—3321no—
1230C2×D4—3321no—
1231C2×D4—3321no—
1232C2×D4—3321no—
1233C2×D4—3321no—
1234C2×D4—3321no—
1235C2×D4—3321no—
1236C2×D4—3321no—
1237C2×D4—3321no—
1238C2×D4—3321no—
1239C2×D4—3321no—
1240C2×D4—3321no—
1241C2×D4—3321no—
1242C2×D4—3321no—
1243C2×D4—3321no—
1244C2×D4—3321no—
1245C2×D4—3321no—
1246C2×D4—3321no—
1247C2×D4—3321no—
1248C2×D4—3321no—
1249C2×D4—3321no—
1250C2×D4—3321no—
1251C2×D4—3321no—
1252C2×D4—3321no—
1253C2×D4—3321no—
1254C2×D4—3321no—
1255C2×D4—1662no—
1256C2×D4—1662no—
1257C2×D4—1662no—
1258C2×D4—1662no—
1259C2×D4—1662no—
1260C2×D4—1662no—
1261C2×D4—1662no—
1262C2×D4—1662no—
1263C2×D4—1662no—
1264C2×D4—1662no—
1265C2×D4—1662no—
1266C2×D4—1662no—
1267C2×D4—1662no—
1268C2×D4—1662no—
1269C2×D4—1662no—
1270C2×D4—1662no—
1271C2×D4—1662no—
1272C2×D4—1662no—
1273C2×D4—1662no—
1274C2×D4—1662no—
1275C2×D4—1662no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—3321no—
1283C22×C4—3321no—
1284C22×C4—3321no—
1285C22×C4—3321no—
1286C22×C4—3321no—
1287C22×C4—3321no—
1288C22×C4—3321no—
1289C22×C4—3321no—
1290C22×C4—3321no—
1291C22×C4—3321no—
1292C22×C4—3321no—
1293C22×C4—3321no—
1294C22×C4—3321no—
1295C22×C4—3321no—
1296C22×C4—3321no—
1297C22×C4—3321no—
1298C22×C4—3321no—
1299C22×C4—3321no—
1300C22×C4—3321no—
1301C22×C4—3321no—
1302C22×C4—3321no—
1303C22×C4—3321no—
1304C22×C4—3321no—
1305C22×C4—33216no—
1306C22×C4—3321no—
1307C22×C4—834no—
1308C22×C4—831no—
1309C22×C4—831no—
1310C22×C4—831no—
1311C22×C4—831no—
1312C22×C4—831no—
1313C22×C4—831no—
1314C22×C4—831no—
1315C22×C4—831no—
1316C22×C4—831no—
1317C22×C4—831no—
1318C22×C4—831no—
1319C22×C4—1662no—
1320C22×C4—1662no—
1321C22×C4—1662no—
1322C22×C4—1662no—
1323C22×C4—1662no—
1324C22×C4—1662no—
1325C22×C4—1662no—
1326C22×C4—1662no—
1327C22×C4—1662no—
1328C22×C4—1662no—
1329C22×C4—1662no—
1330C22×C4C23×D8311yescharacteristic
1331C22×C4C23×D8311yescharacteristic
1332C22×C4C23×D8311yescharacteristic
1333C22×C4C23×D8311yescharacteristic
1334C22×C4C23×D8311yescharacteristic
1335C22×C4C23×D8311yescharacteristic
1336C22×C4C23×D8311yescharacteristic
1337C22×C4C23×D8311yescharacteristic
1338C22×C4C23×D8311yescharacteristic
1339C22×C4C23×D8311yescharacteristic
1340C22×C4C23×D8311yescharacteristic
1341C22×C4C23×D8311yescharacteristic
1342C22×C4C23×D8311yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—3321no—
1351C4⋊C4—3321no—
1352C4⋊C4—3321no—
1353C4⋊C4—3321no—
1354C4⋊C4—3321no—
1355C4⋊C4—3321no—
1356C4⋊C4—3321no—
1357C4⋊C4—3321no—
1358C4⋊C4—3321no—
1359C4⋊C4—3321no—
1360C4⋊C4—3321no—
1361C4⋊C4—3321no—
1362C4⋊C4—3321no—
1363C4⋊C4—3321no—
1364C4⋊C4—1662no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
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—3321no—
1376C22⋊C4—3321no—
1377C22⋊C4—3321no—
1378C22⋊C4—3321no—
1379C22⋊C4—3321no—
1380C22⋊C4—3321no—
1381C22⋊C4—3321no—
1382C22⋊C4—3321no—
1383C22⋊C4—3321no—
1384C22⋊C4—3321no—
1385C22⋊C4—3321no—
1386C22⋊C4—3321no—
1387C22⋊C4—3321no—
1388C22⋊C4—3321no—
1389C22⋊C4—3321no—
1390C22⋊C4—3321no—
1391C22⋊C4—3321no—
1392C22⋊C4—3321no—
1393C22⋊C4—3321no—
1394C22⋊C4—3321no—
1395C22⋊C4—3321no—
1396C22⋊C4—3321no—
1397C22⋊C4—3321no—
1398C22⋊C4—3321no—
1399C22⋊C4—3321no—
1400C22⋊C4—3321no—
1401C22⋊C4—3321no—
1402C22⋊C4—3321no—
1403C22⋊C4—3321no—
1404C22⋊C4—3321no—
1405C22⋊C4—3321no—
1406C22⋊C4—3321no—
1407C22⋊C4—1662no—
1408C22⋊C4—1662no—
1409C22⋊C4—1662no—
1410C22⋊C4—1662no—
1411C22⋊C4—1662no—
1412C22⋊C4—1662no—
1413C22⋊C4—1662no—
1414C22⋊C4—1662no—
1415C22⋊C4—1662no—
1416C22⋊C4—1662no—
1417C42—41no—
1418C42—3321no—
1419C42—3321no—
1420C42—3321no—
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—3324no—
1435C23—3324no—
1436C23—3324no—
1437C23—3324no—
1438C23—3324no—
1439C23—3324no—
1440C23—832no—
1441C23—832no—
1442C23—832no—
1443C23—832no—
1444C23—1668no—
1445C23—1661no—
1446C23—1661no—
1447C23—1661no—
1448C23—1661no—
1449C23—1661no—
1450C23—1661no—
1451C23—1661no—
1452C23—1661no—
1453C23—1661no—
1454C23—1661no—
1455C23—1661no—
1456C23—1661no—
1457C23—1661no—
1458C23—1661no—
1459C23—1661no—
1460C23—1661no—
1461C23—1661no—
1462C23—1661no—
1463C23—1661no—
1464C23—1661no—
1465C23—1661no—
1466C23—1661no—
1467C23—1661no—
1468C23—1661no—
1469C23—1661no—
1470C23—1661no—
1471C23—1661no—
1472C23—1661no—
1473C23—1661no—
1474C23—1661no—
1475C23—1661no—
1476C23#1458183812yes—
1477C23C24×D8311yescharacteristic
1478D4—82no—
1479D4—3324no—
1480D4—3324no—
1481D4—3324no—
1482D4—3324no—
1483D4—6642no—
1484D4—6642no—
1485D4—6642no—
1486D4—6642no—
1487D4—6642no—
1488D4—6642no—
1489D4—6642no—
1490D4—6642no—
1491D4—6642no—
1492D4—6642no—
1493D4—6642no—
1494D4—6642no—
1495D4—6642no—
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—44no—
1535C2×C4—82no—
1536C2×C4—3324no—
1537C2×C4—3324no—
1538C2×C4—3324no—
1539C2×C4—3324no—
1540C2×C4—3324no—
1541C2×C4—832no—
1542C2×C4—6642no—
1543C2×C4—6642no—
1544C2×C4—6642no—
1545C2×C4—6642no—
1546C2×C4—6642no—
1547C2×C4—6642no—
1548C2×C4—6642no—
1549C2×C4—1661no—
1550C2×C4—1661no—
1551C2×C4—1661no—
1552C2×C4—1661no—
1553C2×C4—1661no—
1554C2×C4—1661no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4—1661no—
1562C2×C4—1661no—
1563C2×C4—1661no—
1564C2×C4—1661no—
1565C2×C4—1661no—
1566C2×C4—1661no—
1567C2×C4—1661no—
1568C2×C4—1661no—
1569C2×C4—1661no—
1570C2×C4—1661no—
1571C2×C4—1661no—
1572C2×C4—1661no—
1573C2×C4—1661no—
1574C2×C4—1661no—
1575C2×C4—1661no—
1576C2×C4—1661no—
1577C2×C4—1661no—
1578C2×C4—1661no—
1579C2×C4—1661no—
1580C2×C4—1661no—
1581C2×C4#41×D8312yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—33216no—
1597C22—3321no—
1598C22—3321no—
1599C22—3321no—
1600C22—3321no—
1601C22—3321no—
1602C22—3321no—
1603C22—3321no—
1604C22—3321no—
1605C22—3321no—
1606C22—3321no—
1607C22—3321no—
1608C22—3321no—
1609C22—3321no—
1610C22—3321no—
1611C22—3321no—
1612C22—3321no—
1613C22—3321no—
1614C22—3321no—
1615C22—3321no—
1616C22—3321no—
1617C22—3321no—
1618C22—3321no—
1619C22—3321no—
1620C22—3321no—
1621C22—3321no—
1622C22—834no—
1623C22—1662no—
1624C22—1662no—
1625C22—1662no—
1626C22—1662no—
1627C22—1662no—
1628C22—1662no—
1629C22—1662no—
1630C22—1662no—
1631C22—1662no—
1632C22C2×#41×D8311yescharacteristic
1633C22H(5,𝔽2)×D8311yescharacteristic
1634C22H(5,𝔽2)×D8311yescharacteristic
1635C22H(5,𝔽2)×D8311yescharacteristic
1636C22C2×#1458183811yescharacteristic
1637C22#1912853711yescharacteristic
1638C22#1912853811yescharacteristic
1639C4—22no—
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—3321no—
1653C4—3321no—
1654C4—3321no—
1655C4—3321no—
1656C4—3321no—
1657C4—3321no—
1658C4—3321no—
1659C4—3321no—
1660C4—3321no—
1661C4—3321no—
1662C4—1662no—
1663C2—42no—
1664C2—81no—
1665C2—3322no—
1666C2—6641no—
1667C2—6641no—
1668C2—6641no—
1669C2—1664no—
1670C2#540×D8311yescharacteristic
1671C2#2492114711yescharacteristic
1672C2#2492118111yescharacteristic
1673C2#2492165111yescharacteristic
1674C2#2492165211yescharacteristic
1675C2#2492165511yescharacteristic
1676C2#2492165611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2743C2
hypercenter#2743D83
hypocenterC83#36731
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2743

Complements

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

NH ≅ G/Ntype
1. #24915746C2semidirect
2. #24915744C2semidirect
3. #24914607C2semidirect
4. #24914598C2semidirect
5. #24914595C2semidirect
6. #24914569C2semidirect
7. #24914562C2semidirect
8. #24914558C2semidirect
9. #24914557C2semidirect
10. #24914052C2semidirect
11. #24914050C2semidirect
12. #24914050C2semidirect
13. #24914047C2semidirect
14. #24913906C2semidirect
15. #24913902C2semidirect
16. #24913901C2semidirect
17. #24913897C2semidirect
18. #24913566C2semidirect
19. #24913434C2semidirect
20. #24911220C2semidirect
21. #24911214C2semidirect
22. #24911214C2semidirect
23. #24911212C2semidirect
24. #24911004C2semidirect
25. #24910998C2semidirect
26. #24910994C2semidirect
27. #24910992C2semidirect
28. #24910162C2semidirect
29. #24910160C2semidirect
30. #381×D83C2semidirect
31. C83×#2743C2semidirect
57. #19127642C22semidirect
58. #19127642C22semidirect
59. #19127641C22semidirect
60. #19127641C22semidirect
61. #19127640C22semidirect
62. #19127636C22semidirect
63. #19127636C22semidirect
64. #19127636C22semidirect
65. #19127635C22semidirect
66. #19127635C22semidirect
67. #19127634C22semidirect
68. #19127633C22semidirect
69. #19127630C22semidirect
70. #19127629C22semidirect
71. #19127628C22semidirect
72. #19127628C22semidirect
73. #19127627C22semidirect
74. #19127627C22semidirect
75. #19127627C22semidirect
76. #19127626C22semidirect
82. #19127619C22semidirect
83. #19127619C22semidirect
87. #19127617C22semidirect
90. #19127616C22semidirect
92. #19127611C22semidirect
95. #19127610C22semidirect
96. #19127610C22semidirect
97. #19127610C22semidirect
104. #19127594C22semidirect
105. #19127593C22semidirect
106. #19127593C22semidirect
107. #19127593C22semidirect
108. #19127592C22semidirect
111. #19127590C22semidirect
112. #19127590C22semidirect
113. #19127587C22semidirect
114. #19127585C22semidirect
115. #19127584C22semidirect
116. #19127583C22semidirect
117. #19127582C22semidirect
118. #19127582C22semidirect
119. #19127582C22semidirect
121. #19127580C22semidirect
122. #19127580C22semidirect
134. #19127579C22semidirect
135. #19127579C22semidirect
136. #19127579C22semidirect
137. #19127579C22semidirect
144. #19127577C22semidirect
145. #19127577C22semidirect
149. #19127575C22semidirect
151. #19127572C22semidirect
152. #19127572C22semidirect
158. #19127563C22semidirect
159. #19127563C22semidirect
160. #19127563C22semidirect
172. #400×C83C22semidirect
173. #400×C83C22semidirect
174. #400×C83C22semidirect
175. #399×C83C22semidirect
179. #388×C83C22semidirect
180. #387×C83C22semidirect
183. #385×C83C22semidirect
185. #381×C83C22semidirect
844. #2743D83semidirect
870. C83#36731semidirect
901. #400C2×D83semidirect
902. #400C2×D83semidirect
903. #400C2×D83semidirect
907. #399C2×D83semidirect
959. #388C2×D83semidirect
967. #387C2×D83semidirect
1003. #385C2×D83semidirect
1015. #381C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157462
#249157442
#249146072
#249145982
#249145952
#249145692
#249145622
#249145582
#249145572
#249140522
#249140502
#249140472
#249139062
#249139022
#249139012
#249138972
#249135662
#249134342
#249112202
#249112142
#249112122
#249110042
#249109982
#249109942
#249109922
#249101622
#249101602
#381×D832
C83×#27432
#3673183