Finite Group Databasebeta

← #35612753

Subgroups — #35612753

Order 21248.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915758C211yesmaximal, characteristic, complemented
2#24915742C211yesmaximal, characteristic, complemented
3#24915087C211yesmaximal, characteristic, complemented
4#24915079C211yesmaximal, characteristic, complemented
5#24914840C211yesmaximal, characteristic, complemented
6#24914698C211yesmaximal, characteristic, complemented
7#24914691C211yesmaximal, characteristic, complemented
8#24914685C211yesmaximal, characteristic, complemented
9#24914601C211yesmaximal, characteristic, complemented
10#24914108C211yesmaximal, characteristic, complemented
11#24914023C211yesmaximal, characteristic, complemented
12#24914011C211yesmaximal, characteristic, complemented
13#24913899C211yesmaximal, characteristic, complemented
14#24913894C211yesmaximal, characteristic, complemented
15#24913845C211yesmaximal, characteristic, complemented
16#24913795C211yesmaximal, characteristic, complemented
17#24913771C211yesmaximal, characteristic, complemented
18#24913669C211yesmaximal, characteristic, complemented
19#24913418C211yesmaximal, characteristic, complemented
20#24913393C211yesmaximal, characteristic, complemented
21#24912023C211yesmaximal, characteristic, complemented
22#24911591C211yesmaximal, characteristic, complemented
23#24911127C211yesmaximal, characteristic, complemented
24#24910993C211yesmaximal, characteristic, complemented
25#24910840C211yesmaximal, characteristic, complemented
26#24910834C211yesmaximal, characteristic, complemented
27#24910775C211yesmaximal, characteristic, complemented
28#24910117C211yesmaximal, characteristic, complemented
29#24910037C211yesmaximal, characteristic, complemented
30C2×#19127579C211yesmaximal, characteristic, complemented
31C83×#2444C211yesmaximal, characteristic, complemented
32C23×D332C2211yescharacteristic
33C22×D4×D83C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic, complemented
35C2×#14581778C2211yescharacteristic, complemented
36C2×#14581777C2211yescharacteristic, complemented
37C2×#14581777C2211yescharacteristic, complemented
38C2×#14581772C2211yescharacteristic, complemented
39C2×#14581769C2211yescharacteristic, complemented
40C2×#14581766C2211yescharacteristic, complemented
41C2×#14581765C2211yescharacteristic, complemented
42C2×#14581765C2211yescharacteristic, complemented
43C2×#14581764C2211yescharacteristic
44C2×#14581763C2211yescharacteristic, complemented
45C2×#14581763C2211yescharacteristic, complemented
46C2×#14581762C2211yescharacteristic
47C2×#14581762C2211yescharacteristic
48C2×#14581762C2211yescharacteristic
49C2×#14581760C2211yescharacteristic
50C2×#14581760C2211yescharacteristic
51C2×#14581760C2211yescharacteristic, complemented
52C2×#14581760C2211yescharacteristic, complemented
53C22×(C2×D83)⋊C4C2211yescharacteristic
54C22×(C2×D83)⋊C4C2211yescharacteristic
55C22×(C2×D83)⋊C4C2211yescharacteristic, complemented
56C2×C22⋊C4×D83C2211yescharacteristic
57C83⋊#401C2211yescharacteristic, complemented
58C83⋊#401C2211yescharacteristic, complemented
59#19127643C2211yescharacteristic, complemented
60#19127643C2211yescharacteristic, complemented
61#19127643C2211yescharacteristic, complemented
62#19127642C2211yescharacteristic, complemented
63#19127642C2211yescharacteristic, complemented
64#19127641C2211yescharacteristic, complemented
65#19127638C2211yescharacteristic, complemented
66#19127630C2211yescharacteristic, complemented
67#19127630C2211yescharacteristic, complemented
68#19127630C2211yescharacteristic, complemented
69#19127629C2211yescharacteristic, complemented
70#19127629C2211yescharacteristic, complemented
71#19127629C2211yescharacteristic, complemented
72#19127628C2211yescharacteristic, complemented
73#19127626C2211yescharacteristic, complemented
74#19127624C2211yescharacteristic, complemented
75#19127623C2211yescharacteristic, complemented
76#19127623C2211yescharacteristic, complemented
77#19127623C2211yescharacteristic, complemented
78#19127619C2211yescharacteristic
79#19127619C2211yescharacteristic
80#19127618C2211yescharacteristic, complemented
81#19127618C2211yescharacteristic, complemented
82#19127617C2211yescharacteristic, complemented
83#19127617C2211yescharacteristic, complemented
84#19127617C2211yescharacteristic, complemented
85#19127616C2211yescharacteristic, complemented
86#19127616C2211yescharacteristic, complemented
87#19127616C2211yescharacteristic, complemented
88#19127614C2211yescharacteristic, complemented
89#19127614C2211yescharacteristic, complemented
90#19127614C2211yescharacteristic, complemented
91#19127613C2211yescharacteristic, complemented
92#19127611C2211yescharacteristic
93#19127611C2211yescharacteristic
94#19127610C2211yescharacteristic
95#19127610C2211yescharacteristic
96#19127610C2211yescharacteristic
97#19127610C2211yescharacteristic
98#19127610C2211yescharacteristic, complemented
99#19127610C2211yescharacteristic, complemented
100#19127609C2211yescharacteristic, complemented
101#19127603C2211yescharacteristic, complemented
102#19127601C2211yescharacteristic, complemented
103#19127601C2211yescharacteristic, complemented
104#19127601C2211yescharacteristic, complemented
105#19127593C2211yescharacteristic, complemented
106#19127593C2211yescharacteristic, complemented
107#19127592C2211yescharacteristic, complemented
108#19127592C2211yescharacteristic, complemented
109#19127592C2211yescharacteristic, complemented
110#19127591C2211yescharacteristic, complemented
111#19127591C2211yescharacteristic, complemented
112#19127590C2211yescharacteristic, complemented
113#19127590C2211yescharacteristic, complemented
114#19127584C2211yescharacteristic, complemented
115#19127581C2211yescharacteristic
116#19127581C2211yescharacteristic
117#19127581C2211yescharacteristic, complemented
118#19127580C2211yescharacteristic
119#19127580C2211yescharacteristic
120#19127580C2211yescharacteristic
121#19127580C2211yescharacteristic, complemented
122#19127580C2211yescharacteristic, complemented
123#19127580C2211yescharacteristic, complemented
124#19127579C2211yescharacteristic
125#19127579C2211yescharacteristic
126#19127579C2211yescharacteristic
127#19127579C2211yescharacteristic
128#19127579C2211yescharacteristic
129#19127579C2211yescharacteristic
130#19127579C2211yescharacteristic, complemented
131#19127579C2211yescharacteristic, complemented
132#19127579C2211yescharacteristic, complemented
133#19127579C2211yescharacteristic, complemented
134#19127579C2211yescharacteristic, complemented
135#19127579C2211yescharacteristic, complemented
136#19127579C2211yescharacteristic, complemented
137#19127579C2211yescharacteristic, complemented
138#19127579C2211yescharacteristic, complemented
139#19127579C2211yescharacteristic, complemented
140#19127578C2211yescharacteristic
141#19127577C2211yescharacteristic, complemented
142#19127577C2211yescharacteristic, complemented
143#19127577C2211yescharacteristic, complemented
144#19127577C2211yescharacteristic, complemented
145#19127577C2211yescharacteristic, complemented
146#19127577C2211yescharacteristic, complemented
147#19127577C2211yescharacteristic, complemented
148#19127576C2211yescharacteristic, complemented
149#19127575C2211yescharacteristic, complemented
150#19127575C2211yescharacteristic, complemented
151#19127574C2211yescharacteristic, complemented
152#19127573C2211yescharacteristic, complemented
153#19127572C2211yescharacteristic, complemented
154#19127572C2211yescharacteristic, complemented
155#19127572C2211yescharacteristic, complemented
156#19127568C2211yescharacteristic, complemented
157#19127563C2211yescharacteristic, complemented
158#19127563C2211yescharacteristic, complemented
159#19127563C2211yescharacteristic, complemented
160#19127563C2211yescharacteristic, complemented
161#19127561C2211yescharacteristic, complemented
162#19127558C2211yescharacteristic, complemented
163#19127558C2211yescharacteristic, complemented
164#19127558C2211yescharacteristic, complemented
165#19127556C2211yescharacteristic
166#19127556C2211yescharacteristic, complemented
167#19127556C2211yescharacteristic, complemented
168#19127556C2211yescharacteristic, complemented
169#19127556C2211yescharacteristic, complemented
170C4×C22⋊Dic83C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
172C2×#121×C83C2211yescharacteristic
173C2×C4×D4×C83C2211yescharacteristic, complemented
174#400×C83C2211yescharacteristic, complemented
175#397×C83C2211yescharacteristic, complemented
176#397×C83C2211yescharacteristic, complemented
177#394×C83C2211yescharacteristic, complemented
178#388×C83C2211yescharacteristic, complemented
179#387×C83C2211yescharacteristic, complemented
180#386×C83C2211yescharacteristic
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic, complemented
183#386×C83C2211yescharacteristic, complemented
184#385×C83C2211yescharacteristic, complemented
185#381×C83C2211yescharacteristic, complemented
186C2×#95×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C24×D83C2311yescharacteristic
189C24×D83C2311yescharacteristic
190C22×Dic166C2311yescharacteristic
191C22×D332—24no—
192C22×D332—42no—
193C22×D332—42no—
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×D332C2311yescharacteristic
200C22×D332C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C22×C22⋊D83C2311yescharacteristic
207C22×C22⋊D83C2311yescharacteristic
208C22×C22⋊D83C2311yescharacteristic
209C22×C22⋊D83C2311yescharacteristic
210C2×D4×D83—24no—
211C2×D4×D83—42no—
212C2×D4×D83—42no—
213C23×Dic83C2311yescharacteristic
214C23×Dic83C2311yescharacteristic
215C22×C4×D83—42no—
216C22×C4×D83—42no—
217C22×C4×D83—42no—
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224C22×C4×D83C2311yescharacteristic
225#14581778—42no—
226#14581777—42no—
227#14581777—42no—
228#14581772—42no—
229#14581769—42no—
230#14581766—42no—
231#14581765—42no—
232#14581765—42no—
233#14581764—42no—
234#14581763—42no—
235#14581763—42no—
236#14581762—42no—
237#14581762—42no—
238#14581762—42no—
239#14581760—24no—
240#14581760—42no—
241#14581760—42no—
242#14581760—42no—
243C2×C4⋊Dic83C2311yescharacteristic
244C2×C4⋊Dic83C2311yescharacteristic
245C2×C4⋊Dic83C2311yescharacteristic
246C2×C4⋊Dic83C2311yescharacteristic
247C2×C4⋊Dic83C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×(C2×D83)⋊C4—42no—
266C2×(C2×D83)⋊C4—42no—
267C2×(C2×D83)⋊C4—42no—
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
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C2×(C2×D83)⋊C4C2311yescharacteristic
306C2×(C2×D83)⋊C4C2311yescharacteristic
307C22⋊C4×D83—42no—
308C2×C4×Dic83C2311yescharacteristic
309C2×C4×Dic83C2311yescharacteristic
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
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C22×D4×C83C2311yescharacteristic
339C22×D4×C83C2311yescharacteristic
340C22×D4×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343C23×C4×C83C2311yescharacteristic
344C23×C4×C83C2311yescharacteristic
345#121×C83—42no—
346C4×D4×C83—42no—
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C4⋊C4×C83C2311yescharacteristic
350C2×C4⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C42×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369#95×C83C2311yescharacteristic
370#95×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375C23×D83—22no—
376C23×D83—22no—
377C23×D83—22no—
378C23×D83—22no—
379C23×D83—22no—
380C23×D83—22no—
381C23×D83—22no—
382C23×D83—22no—
383C23×D83—41no—
384C23×D83—41no—
385C23×D83—41no—
386C23×D83—41no—
387C23×D83—41no—
388C23×D83—41no—
389C23×D83—41no—
390C23×D83—41no—
391C23×D83—41no—
392C23×D83—41no—
393C23×D83—41no—
394C23×D83—41no—
395C23×D83#4114yes—
396C23×D83C2411yescharacteristic
397C23×D83C2411yescharacteristic
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400C23×D83C2411yescharacteristic
401C2×Dic166—41no—
402C2×Dic166—41no—
403C2×Dic166—41no—
404C2×D332—22no—
405C2×D332—22no—
406C2×D332—22no—
407C2×D332—22no—
408C2×D332—22no—
409C2×D332—22no—
410C2×D332—22no—
411C2×D332—22no—
412C2×D332—22no—
413C2×D332—22no—
414C2×D332—22no—
415C2×D332—41no—
416C2×D332—41no—
417C2×D332—41no—
418C2×D332—41no—
419C2×D332—41no—
420C2×D332—41no—
421C2×D332—416no—
422C2×D332—41no—
423C2×D332—41no—
424C2×D332—41no—
425C2×D332—41no—
426C2×C22⋊D83—22no—
427C2×C22⋊D83—22no—
428C2×C22⋊D83—22no—
429C2×C22⋊D83—22no—
430C2×C22⋊D83—22no—
431C2×C22⋊D83—22no—
432C2×C22⋊D83—22no—
433C2×C22⋊D83—22no—
434C2×C22⋊D83—22no—
435C2×C22⋊D83—22no—
436C2×C22⋊D83—41no—
437C2×C22⋊D83—41no—
438C2×C22⋊D83—41no—
439C2×C22⋊D83—41no—
440C2×C22⋊D83—41no—
441C2×C22⋊D83—41no—
442C2×C22⋊D83—41no—
443C2×C22⋊D83—41no—
444C2×C22⋊D83—41no—
445C2×C22⋊D83—41no—
446C2×C22⋊D83—41no—
447C2×C22⋊D83—41no—
448C2×C22⋊D83—41no—
449C2×C22⋊D83—41no—
450C2×C22⋊D83—41no—
451C2×C22⋊D83—41no—
452C2×C22⋊D83—41no—
453D4×D83—416no—
454C22×Dic83—22no—
455C22×Dic83—22no—
456C22×Dic83—41no—
457C22×Dic83—41no—
458C22×Dic83—41no—
459C22×Dic83—41no—
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C22×Dic83C2411yescharacteristic
463C22×Dic83C2411yescharacteristic
464C22×Dic83C2411yescharacteristic
465C22×Dic83C2411yescharacteristic
466C22×Dic83C2411yescharacteristic
467C22×Dic83C2411yescharacteristic
468C22×Dic83C2411yescharacteristic
469C22×Dic83C2411yescharacteristic
470C22×Dic83C2411yescharacteristic
471C2×C4×D83—22no—
472C2×C4×D83—22no—
473C2×C4×D83—22no—
474C2×C4×D83—22no—
475C2×C4×D83—22no—
476C2×C4×D83—41no—
477C2×C4×D83—41no—
478C2×C4×D83—41no—
479C2×C4×D83—41no—
480C2×C4×D83—41no—
481C2×C4×D83—41no—
482C2×C4×D83—41no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83—416no—
487C2×C4×D83—41no—
488C2×C4×D83—41no—
489C2×C4×D83—41no—
490C2×C4×D83—41no—
491C2×C4×D83—41no—
492C2×C4×D83—41no—
493C4⋊Dic83—22no—
494C4⋊Dic83—41no—
495C4⋊Dic83—41no—
496C4⋊Dic83—41no—
497C4⋊Dic83—41no—
498Dic83⋊C4—41no—
499Dic83⋊C4—41no—
500Dic83⋊C4—41no—
501Dic83⋊C4—41no—
502Dic83⋊C4—41no—
503Dic83⋊C4—41no—
504Dic83⋊C4—41no—
505C22⋊Dic83—22no—
506C22⋊Dic83—22no—
507C22⋊Dic83—22no—
508C22⋊Dic83—41no—
509C22⋊Dic83—41no—
510C22⋊Dic83—41no—
511C22⋊Dic83—41no—
512C22⋊Dic83—41no—
513C22⋊Dic83—41no—
514C22⋊Dic83—41no—
515(C2×D83)⋊C4—22no—
516(C2×D83)⋊C4—22no—
517(C2×D83)⋊C4—22no—
518(C2×D83)⋊C4—22no—
519(C2×D83)⋊C4—22no—
520(C2×D83)⋊C4—22no—
521(C2×D83)⋊C4—22no—
522(C2×D83)⋊C4—22no—
523(C2×D83)⋊C4—22no—
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—
537(C2×D83)⋊C4—41no—
538(C2×D83)⋊C4—41no—
539(C2×D83)⋊C4—41no—
540(C2×D83)⋊C4—41no—
541(C2×D83)⋊C4—41no—
542(C2×D83)⋊C4—41no—
543(C2×D83)⋊C4—41no—
544(C2×D83)⋊C4—41no—
545(C2×D83)⋊C4—41no—
546(C2×D83)⋊C4—41no—
547(C2×D83)⋊C4—41no—
548(C2×D83)⋊C4—41no—
549(C2×D83)⋊C4—41no—
550(C2×D83)⋊C4—41no—
551(C2×D83)⋊C4—41no—
552(C2×D83)⋊C4—41no—
553(C2×D83)⋊C4—41no—
554C4×Dic83—41no—
555C4×Dic83—41no—
556C24×C83C2411yescharacteristic
557C24×C83C2411yescharacteristic
558C24×C83C2411yescharacteristic
559C2×D4×C83—22no—
560C2×D4×C83—22no—
561C2×D4×C83—22no—
562C2×D4×C83—22no—
563C2×D4×C83—22no—
564C2×D4×C83—22no—
565C2×D4×C83—22no—
566C2×D4×C83—41no—
567C2×D4×C83—41no—
568C22×C4×C83—22no—
569C22×C4×C83—22no—
570C22×C4×C83—22no—
571C22×C4×C83—22no—
572C22×C4×C83—41no—
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×C83C2411yescharacteristic
581C22×C4×C83C2411yescharacteristic
582C22×C4×C83C2411yescharacteristic
583C22×C4×C83C2411yescharacteristic
584C22×C4×C83C2411yescharacteristic
585C22×C4×C83C2411yescharacteristic
586C22×C4×C83C2411yescharacteristic
587C22×C4×C83C2411yescharacteristic
588C22×C4×C83C2411yescharacteristic
589C22×C4×C83C2411yescharacteristic
590C22×C4×C83C2411yescharacteristic
591C22×C4×C83C2411yescharacteristic
592C4⋊C4×C83—22no—
593C4⋊C4×C83—41no—
594C4⋊C4×C83—41no—
595C4⋊C4×C83—41no—
596C22⋊C4×C83—22no—
597C22⋊C4×C83—22no—
598C22⋊C4×C83—41no—
599C22⋊C4×C83—41no—
600C22⋊C4×C83—41no—
601C22⋊C4×C83—41no—
602C22⋊C4×C83—41no—
603C22⋊C4×C83—41no—
604C22⋊C4×C83—41no—
605C22⋊C4×C83—41no—
606C22⋊C4×C83—41no—
607C42×C83—41no—
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×C83C2×#4112yes—
627C23×C83H(5,𝔽2)12yes—
628C23×C83H(5,𝔽2)12yes—
629C23×C83C2511yescharacteristic
630C22×D83—28no—
631C22×D83—21no—
632C22×D83—21no—
633C22×D83—21no—
634C22×D83—21no—
635C22×D83—21no—
636C22×D83—21no—
637C22×D83—21no—
638C22×D83—21no—
639C22×D83—21no—
640C22×D83—21no—
641C22×D83—21no—
642C22×D83—21no—
643C22×D83—21no—
644C22×D83—21no—
645C22×D83—21no—
646C22×D83—21no—
647C22×D83—21no—
648C22×D83—21no—
649C22×D83—21no—
650C22×D83—21no—
651C22×D83—21no—
652C22×D83—21no—
653C22×D83—21no—
654C22×D83—21no—
655C22×D83—28no—
656C22×D83—21no—
657C22×D83—21no—
658C22×D83—21no—
659C22×D83—21no—
660C22×D83—21no—
661C22×D83—21no—
662C22×D83—21no—
663C22×D83—44no—
664C22×D83—44no—
665C22×D83—44no—
666C22×D83—44no—
667C22×D83—44no—
668C22×D83—44no—
669C22×D83—44no—
670C22×D83—44no—
671C22×D83—44no—
672C22×D83—82no—
673C22×D83—82no—
674C22×D83—82no—
675C22×D83—82no—
676C22×D83—82no—
677C22×D83—82no—
678C22×D83—82no—
679C22×D83—82no—
680C22×D83—82no—
681C22×D83—82no—
682C22×D83C2×#4112yes—
683C22×D83C2×#4112yes—
684C22×D83H(5,𝔽2)12yes—
685C22×D83H(5,𝔽2)12yes—
686D4×C83—44no—
687D4×C83—44no—
688D4×C83—82no—
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—44no—
725C2×C4×C83—44no—
726C2×C4×C83—82no—
727C2×C4×C83—82no—
728C2×C4×C83H(5,𝔽2)12yes—
729C22⋊D83—44no—
730C22⋊D83—44no—
731C22⋊D83—82no—
732C22⋊D83—82no—
733C22⋊D83—82no—
734C22⋊D83—82no—
735C22⋊D83—82no—
736C22⋊D83—82no—
737C22⋊D83—82no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—21no—
744C2×Dic83—21no—
745C2×Dic83—21no—
746C2×Dic83—21no—
747C2×Dic83—21no—
748C2×Dic83—21no—
749C2×Dic83—21no—
750C2×Dic83—21no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—21no—
756C2×Dic83—21no—
757C2×Dic83—21no—
758C2×Dic83—21no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—21no—
764C2×Dic83—21no—
765C2×Dic83—21no—
766C2×Dic83—21no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—44no—
772C2×Dic83—82no—
773D332—44no—
774D332—44no—
775D332—44no—
776D332—44no—
777D332—44no—
778D332—82no—
779D332—82no—
780C4×D83—44no—
781C4×D83—44no—
782C4×D83—44no—
783C4×D83—44no—
784C4×D83—44no—
785C4×D83—82no—
786C4×D83—82no—
787Dic166—82no—
788C22×C83—22no—
789C22×C83—22no—
790C22×C83—22no—
791C22×C83—22no—
792C22×C83—22no—
793C22×C83—22no—
794C22×C83—41no—
795C22×C83—41no—
796C22×C83—41no—
797C22×C83—41no—
798C22×C83—41no—
799C22×C83—41no—
800C22×C83—41no—
801C22×C83—41no—
802C22×C83—41no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83#53814yes—
809C22×C83C22×#4111yescharacteristic
810C22×C83C2×H(5,𝔽2)11yescharacteristic
811C22×C83C2×H(5,𝔽2)11yescharacteristic
812C22×C83C2×H(5,𝔽2)11yescharacteristic
813C22×C83C2×H(5,𝔽2)11yescharacteristic
814C22×C83C2×H(5,𝔽2)11yescharacteristic
815C22×C83#58511yescharacteristic
816C2×D83—22no—
817C2×D83—22no—
818C2×D83—22no—
819C2×D83—22no—
820C2×D83—22no—
821C2×D83—22no—
822C2×D83—22no—
823C2×D83—22no—
824C2×D83—22no—
825C2×D83—22no—
826C2×D83—22no—
827C2×D83—22no—
828C2×D83—416no—
829C2×D83—41no—
830C2×D83—41no—
831C2×D83—41no—
832C2×D83—41no—
833C2×D83—41no—
834C2×D83—41no—
835C2×D83—41no—
836C2×D83—41no—
837C2×D83—41no—
838C2×D83—41no—
839C2×D83—41no—
840C2×D83—41no—
841C2×D83—41no—
842C2×D83—41no—
843C2×D83—41no—
844C2×D83—41no—
845C2×D83—41no—
846C2×D83—41no—
847C2×D83—41no—
848C2×D83—41no—
849C2×D83—41no—
850C2×D83—41no—
851C2×D83—41no—
852C2×D83—88no—
853C2×D83—88no—
854C4×C83—22no—
855C4×C83—41no—
856C4×C83—41no—
857C4×C83—41no—
858C4×C83—41no—
859C4×C83—41no—
860C4×C83—41no—
861C4×C83—41no—
862C4×C83—41no—
863C4×C83—41no—
864C4×C83—41no—
865C4×C83—41no—
866Dic83—41no—
867Dic83—41no—
868Dic83—41no—
869Dic83—41no—
870Dic83—41no—
871Dic83—41no—
872Dic83—41no—
873Dic83—41no—
874Dic83—41no—
875Dic83—41no—
876Dic83—41no—
877#36776—831nomaximal, Sylow
878C2×C83—24no—
879C2×C83—81no—
880C2×C83—81no—
881C2×C83C2×#53811yescharacteristic
882C2×C83#349011yescharacteristic
883C2×C83#350511yescharacteristic
884C2×C83#353211yescharacteristic
885C2×C83#353411yescharacteristic
886C2×C83#353411yescharacteristic
887C2×C83#353711yescharacteristic
888D83—42no—
889D83—42no—
890D83—42no—
891D83—42no—
892D83—81no—
893#2849—831no—
894#2847—831no—
895#2778—831no—
896#2778—831no—
897#2760—831no—
898#2750—831no—
899#2749—831no—
900#2749—831no—
901#2743—831no—
902#2703—831no—
903#2697—831no—
904#2696—831no—
905#2688—831no—
906#2688—831no—
907#2684—831no—
908#2678—831no—
909#2676—831no—
910#2668—831no—
911#2643—831no—
912#2639—831no—
913#2510—831no—
914#2472—831no—
915#2444D8311yescharacteristic, complemented
916#2437—831no—
917#2424—831no—
918#2410—831no—
919#2410—831no—
920#2403—831no—
921#2321—831no—
922#2308—831no—
923C2×#386—831no—
924C83#3677611yescharacteristic, complemented, Sylow
925C23×D4—831no—
926C23×D4—831no—
927C24×C4—831no—
928C2×#124—831no—
929C2×#123—831no—
930C2×#123—831no—
931C2×C22⋊Q8—831no—
932C2×C22⋊Q8—831no—
933C2×#121—831no—
934C2×#121—831no—
935C2×#121—831no—
936C2×#121—831no—
937C2×#121—831no—
938C2×#121—831no—
939C2×#121C2×D8311yescharacteristic
940C2×#120—831no—
941C2×#120—831no—
942C2×#120—831no—
943C2×#120—831no—
944C2×#120—831no—
945C2×#120—831no—
946C2×#120—831no—
947C2×C4×D4C2×D8311yescharacteristic, complemented
948C22×C22⋊C4—831no—
949C22×C22⋊C4—831no—
950C22×C22⋊C4—831no—
951C22×C22⋊C4—831no—
952#401—831no—
953#401—831no—
954#400—831no—
955#400—831no—
956#400—831no—
957#400—831no—
958#400—831no—
959#400—831no—
960#400C2×D8311yescharacteristic, complemented
961#399—831no—
962#397—831no—
963#397—831no—
964#397—831no—
965#397—831no—
966#397—831no—
967#397—831no—
968#397—831no—
969#397—831no—
970#397C2×D8311yescharacteristic, complemented
971#397C2×D8311yescharacteristic, complemented
972#396—831no—
973#396—831no—
974#396—831no—
975#396—831no—
976#394—831no—
977#394—831no—
978#394—831no—
979#394—831no—
980#394—831no—
981#394—831no—
982#394—831no—
983#394—831no—
984#394—831no—
985#394—831no—
986#394C2×D8311yescharacteristic, complemented
987#393—831no—
988#393—831no—
989#393—831no—
990#393—831no—
991#392—831no—
992#392—831no—
993#392—831no—
994#392—831no—
995#392—831no—
996#392—831no—
997#392—831no—
998#392—831no—
999#392—831no—
1000#390—831no—
1001#390—831no—
1002#390—831no—
1003#390—831no—
1004#388—831no—
1005#388—831no—
1006#388—831no—
1007#388—831no—
1008#388—831no—
1009#388—831no—
1010#388—831no—
1011#388—831no—
1012#388—831no—
1013#388C2×D8311yescharacteristic, complemented
1014#387—831no—
1015#387C2×D8311yescharacteristic, complemented
1016#386—831no—
1017#386—831no—
1018#386—831no—
1019#386—831no—
1020#386—831no—
1021#386—831no—
1022#386—831no—
1023#386—831no—
1024#386—831no—
1025#386—831no—
1026#386—831no—
1027#386—831no—
1028#386—831no—
1029#386—831no—
1030#386—831no—
1031#386—831no—
1032#386—831no—
1033#386—831no—
1034#386—831no—
1035#386—831no—
1036#386—831no—
1037#386—831no—
1038#386—831no—
1039#386—831no—
1040#386—831no—
1041#386—831no—
1042#386—831no—
1043#386—831no—
1044#386—831no—
1045#386—831no—
1046#386—831no—
1047#386—831no—
1048#386—831no—
1049#386C2×D8311yescharacteristic
1050#386C2×D8311yescharacteristic
1051#386C2×D8311yescharacteristic, complemented
1052#386C2×D8311yescharacteristic, complemented
1053#385—831no—
1054#385—831no—
1055#385—831no—
1056#385—831no—
1057#385—831no—
1058#385—831no—
1059#385—831no—
1060#385—831no—
1061#385C2×D8311yescharacteristic, complemented
1062#383—831no—
1063#381—831no—
1064#381—831no—
1065#381—831no—
1066#381—831no—
1067#381C2×D8311yescharacteristic, complemented
1068#380—831no—
1069#380—831no—
1070#380—831no—
1071#380—831no—
1072#379—831no—
1073#379—831no—
1074#379—831no—
1075#379—831no—
1076#379—831no—
1077C4×C22⋊C4—831no—
1078C2×#95—831no—
1079C2×#95C2×D8311yescharacteristic, complemented
1080C25—831no—
1081C25—831no—
1082C25—831no—
1083C22×Q8—831no—
1084C22×D4—3322no—
1085C22×D4—3322no—
1086C22×D4—3322no—
1087C22×D4—3322no—
1088C22×D4—831no—
1089C22×D4—831no—
1090C22×D4—831no—
1091C22×D4—831no—
1092C22×D4—831no—
1093C22×D4—831no—
1094C22×D4—831no—
1095C22×D4—831no—
1096C22×D4—831no—
1097C22×D4—831no—
1098C22×D4—831no—
1099C22×D4—831no—
1100C22×D4—831no—
1101C22×D4—831no—
1102C22×D4—831no—
1103C22×D4—831no—
1104C22×D4—1664no—
1105C22×D4—1664no—
1106C22×D4C22×D8311yescharacteristic
1107C22×D4C22×D8311yescharacteristic
1108C22×D4C22×D8311yescharacteristic
1109C23×C4—3322no—
1110C23×C4—3322no—
1111C23×C4—3322no—
1112C23×C4—831no—
1113C23×C4—831no—
1114C23×C4—831no—
1115C23×C4—831no—
1116C23×C4—831no—
1117C23×C4—831no—
1118C23×C4—831no—
1119C23×C4—831no—
1120C23×C4—831no—
1121C23×C4C22×D8311yescharacteristic
1122C23×C4C22×D8311yescharacteristic
1123C23×C4C22×D8311yescharacteristic
1124C23×C4C22×D8311yescharacteristic
1125#124—3322no—
1126#123—3322no—
1127#123—3322no—
1128C22⋊Q8—3322no—
1129C22⋊Q8—3322no—
1130#121—42no—
1131#121—3322no—
1132#121—3322no—
1133#121—3322no—
1134#121—3322no—
1135#121—3322no—
1136#121—3322no—
1137#120—3322no—
1138#120—3322no—
1139#120—3322no—
1140#120—3322no—
1141#120—3322no—
1142#120—3322no—
1143#120—1664no—
1144C4×D4—42no—
1145C2×C4⋊C4—831no—
1146C2×C4⋊C4—831no—
1147C2×C4⋊C4—831no—
1148C2×C4⋊C4—831no—
1149C2×C4⋊C4—831no—
1150C2×C4⋊C4—831no—
1151C2×C4⋊C4—831no—
1152C2×C4⋊C4—831no—
1153C2×C4⋊C4—831no—
1154C2×C4⋊C4—831no—
1155C2×C4⋊C4—831no—
1156C2×C4⋊C4—831no—
1157C2×C4⋊C4C22×D8311yescharacteristic
1158C2×C4⋊C4C22×D8311yescharacteristic
1159C2×C4⋊C4C22×D8311yescharacteristic
1160C2×C4⋊C4C22×D8311yescharacteristic
1161C2×C22⋊C4—3322no—
1162C2×C22⋊C4—3322no—
1163C2×C22⋊C4—3322no—
1164C2×C22⋊C4—3322no—
1165C2×C22⋊C4—831no—
1166C2×C22⋊C4—831no—
1167C2×C22⋊C4—831no—
1168C2×C22⋊C4—831no—
1169C2×C22⋊C4—831no—
1170C2×C22⋊C4—831no—
1171C2×C22⋊C4—831no—
1172C2×C22⋊C4—831no—
1173C2×C22⋊C4—831no—
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—831no—
1176C2×C22⋊C4—831no—
1177C2×C22⋊C4—831no—
1178C2×C22⋊C4—831no—
1179C2×C22⋊C4—831no—
1180C2×C22⋊C4—831no—
1181C2×C22⋊C4—831no—
1182C2×C22⋊C4—831no—
1183C2×C22⋊C4—831no—
1184C2×C22⋊C4—831no—
1185C2×C22⋊C4—831no—
1186C2×C22⋊C4—831no—
1187C2×C22⋊C4—831no—
1188C2×C22⋊C4—831no—
1189C2×C22⋊C4—831no—
1190C2×C22⋊C4—831no—
1191C2×C22⋊C4—831no—
1192C2×C22⋊C4—831no—
1193C2×C22⋊C4—831no—
1194C2×C22⋊C4—831no—
1195C2×C22⋊C4—831no—
1196C2×C22⋊C4—831no—
1197C2×C22⋊C4—831no—
1198C2×C22⋊C4—831no—
1199C2×C22⋊C4—831no—
1200C2×C22⋊C4—831no—
1201C2×C22⋊C4—831no—
1202C2×C22⋊C4—831no—
1203C2×C22⋊C4—831no—
1204C2×C22⋊C4—831no—
1205C2×C22⋊C4—831no—
1206C2×C22⋊C4—831no—
1207C2×C22⋊C4—831no—
1208C2×C22⋊C4—831no—
1209C2×C22⋊C4—831no—
1210C2×C22⋊C4—831no—
1211C2×C22⋊C4—831no—
1212C2×C22⋊C4—831no—
1213C2×C22⋊C4—831no—
1214C2×C22⋊C4C22×D8311yescharacteristic
1215C2×C22⋊C4C22×D8311yescharacteristic
1216C2×C22⋊C4C22×D8311yescharacteristic
1217C2×C22⋊C4C22×D8311yescharacteristic
1218C2×C22⋊C4C22×D8311yescharacteristic
1219C2×C22⋊C4C22×D8311yescharacteristic
1220C2×C22⋊C4C22×D8311yescharacteristic
1221C2×C22⋊C4C22×D8311yescharacteristic
1222C2×C22⋊C4C22×D8311yescharacteristic
1223C2×C22⋊C4C22×D8311yescharacteristic
1224C2×C22⋊C4C22×D8311yescharacteristic
1225C2×C42—831no—
1226C2×C42—831no—
1227C2×C42C22×D8311yescharacteristic
1228#95—831no—
1229#95—831no—
1230#95—831no—
1231#95—831no—
1232#95—831no—
1233#95—831no—
1234#95—831no—
1235#95—831no—
1236#95—831no—
1237#95—831no—
1238#95—831no—
1239#95—831no—
1240#95—831no—
1241#95—831no—
1242#95—831no—
1243#95—831no—
1244#95—831no—
1245#95—831no—
1246#95—831no—
1247#95—831no—
1248#95—831no—
1249#95—831no—
1250#95—831no—
1251#95—831no—
1252#95—831no—
1253#95—831no—
1254#95—831no—
1255#95—831no—
1256#95C22×D8311yescharacteristic
1257#95C22×D8311yescharacteristic
1258#95C22×D8311yescharacteristic
1259#95C22×D8311yescharacteristic
1260#95C22×D8311yescharacteristic
1261#95C22×D8311yescharacteristic
1262#95C22×D8311yescharacteristic
1263#95C22×D8311yescharacteristic
1264#95C22×D8311yescharacteristic
1265#95C22×D8311yescharacteristic
1266#95C22×D8311yescharacteristic
1267#95C22×D8311yescharacteristic
1268C24—3321no—
1269C24—3321no—
1270C24—3321no—
1271C24—3321no—
1272C24—3321no—
1273C24—3321no—
1274C24—3321no—
1275C24—3321no—
1276C24—3321no—
1277C24—3321no—
1278C24—3321no—
1279C24—3321no—
1280C24—834no—
1281C24—831no—
1282C24—831no—
1283C24—831no—
1284C24—831no—
1285C24—831no—
1286C24—1662no—
1287C24—1662no—
1288C24—1662no—
1289C24—1662no—
1290C24—1662no—
1291C24—1662no—
1292C24—1662no—
1293C24—1662no—
1294C24C23×D8311yescharacteristic
1295C24C23×D8311yescharacteristic
1296C24C23×D8311yescharacteristic
1297C2×Q8—3321no—
1298C2×Q8—3321no—
1299C2×Q8—3321no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—3321no—
1310C2×D4—3321no—
1311C2×D4—3321no—
1312C2×D4—3321no—
1313C2×D4—3321no—
1314C2×D4—3321no—
1315C2×D4—3321no—
1316C2×D4—3321no—
1317C2×D4—3321no—
1318C2×D4—3321no—
1319C2×D4—33216no—
1320C2×D4—33216no—
1321C2×D4—3321no—
1322C2×D4—3321no—
1323C2×D4—3321no—
1324C2×D4—3321no—
1325C2×D4—3321no—
1326C2×D4—3321no—
1327C2×D4—3321no—
1328C2×D4—3321no—
1329C2×D4—3321no—
1330C2×D4—3321no—
1331C2×D4—3321no—
1332C2×D4—3321no—
1333C2×D4—3321no—
1334C2×D4—3321no—
1335C2×D4—3321no—
1336C2×D4—3321no—
1337C2×D4—3321no—
1338C2×D4—1662no—
1339C2×D4—1662no—
1340C2×D4—1662no—
1341C2×D4—1662no—
1342C2×D4—1662no—
1343C2×D4—1662no—
1344C2×D4—1662no—
1345C2×D4—1662no—
1346C2×D4—1662no—
1347C2×D4—1662no—
1348C2×D4—1662no—
1349C2×D4—1662no—
1350C2×D4—1662no—
1351C2×D4—1662no—
1352C2×D4—1662no—
1353C2×D4—1662no—
1354C2×D4—1662no—
1355C2×D4—1662no—
1356C2×D4—1662no—
1357C2×D4—1662no—
1358C2×D4—1662no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—3321no—
1372C22×C4—3321no—
1373C22×C4—3321no—
1374C22×C4—3321no—
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—33216no—
1388C22×C4—3321no—
1389C22×C4—3321no—
1390C22×C4—3321no—
1391C22×C4—3321no—
1392C22×C4—831no—
1393C22×C4—831no—
1394C22×C4—831no—
1395C22×C4—831no—
1396C22×C4—831no—
1397C22×C4—831no—
1398C22×C4—831no—
1399C22×C4—831no—
1400C22×C4—831no—
1401C22×C4—831no—
1402C22×C4—831no—
1403C22×C4—1662no—
1404C22×C4—1662no—
1405C22×C4—1662no—
1406C22×C4—1662no—
1407C22×C4—1662no—
1408C22×C4—1662no—
1409C22×C4—1662no—
1410C22×C4C23×D8311yescharacteristic
1411C22×C4C23×D8311yescharacteristic
1412C22×C4C23×D8311yescharacteristic
1413C22×C4C23×D8311yescharacteristic
1414C22×C4C23×D8311yescharacteristic
1415C22×C4C23×D8311yescharacteristic
1416C22×C4C23×D8311yescharacteristic
1417C22×C4C23×D8311yescharacteristic
1418C22×C4C23×D8311yescharacteristic
1419C22×C4C23×D8311yescharacteristic
1420C22×C4C23×D8311yescharacteristic
1421C22×C4C23×D8311yescharacteristic
1422C4⋊C4—22no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—3321no—
1427C4⋊C4—3321no—
1428C4⋊C4—3321no—
1429C4⋊C4—3321no—
1430C4⋊C4—3321no—
1431C4⋊C4—3321no—
1432C4⋊C4—3321no—
1433C4⋊C4—3321no—
1434C4⋊C4—3321no—
1435C4⋊C4—3321no—
1436C4⋊C4—3321no—
1437C4⋊C4—1662no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—3321no—
1450C22⋊C4—3321no—
1451C22⋊C4—3321no—
1452C22⋊C4—3321no—
1453C22⋊C4—3321no—
1454C22⋊C4—3321no—
1455C22⋊C4—3321no—
1456C22⋊C4—3321no—
1457C22⋊C4—3321no—
1458C22⋊C4—3321no—
1459C22⋊C4—3321no—
1460C22⋊C4—3321no—
1461C22⋊C4—3321no—
1462C22⋊C4—3321no—
1463C22⋊C4—3321no—
1464C22⋊C4—3321no—
1465C22⋊C4—3321no—
1466C22⋊C4—3321no—
1467C22⋊C4—3321no—
1468C22⋊C4—3321no—
1469C22⋊C4—3321no—
1470C22⋊C4—3321no—
1471C22⋊C4—3321no—
1472C22⋊C4—3321no—
1473C22⋊C4—3321no—
1474C22⋊C4—3321no—
1475C22⋊C4—3321no—
1476C22⋊C4—3321no—
1477C22⋊C4—3321no—
1478C22⋊C4—3321no—
1479C22⋊C4—3321no—
1480C22⋊C4—3321no—
1481C22⋊C4—3321no—
1482C22⋊C4—3321no—
1483C22⋊C4—3321no—
1484C22⋊C4—3321no—
1485C22⋊C4—3321no—
1486C22⋊C4—1662no—
1487C22⋊C4—1662no—
1488C22⋊C4—1662no—
1489C22⋊C4—1662no—
1490C22⋊C4—1662no—
1491C22⋊C4—1662no—
1492C22⋊C4—1662no—
1493C22⋊C4—1662no—
1494C22⋊C4—1662no—
1495C22⋊C4—1662no—
1496C22⋊C4—1662no—
1497C22⋊C4—1662no—
1498C42—41no—
1499C42—3321no—
1500C42—3321no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—3324no—
1520C23—3324no—
1521C23—3324no—
1522C23—3324no—
1523C23—3324no—
1524C23—3324no—
1525C23—3324no—
1526C23—3324no—
1527C23—3324no—
1528C23—832no—
1529C23—832no—
1530C23—832no—
1531C23—832no—
1532C23—6642no—
1533C23—6642no—
1534C23—6642no—
1535C23—6642no—
1536C23—6642no—
1537C23—6642no—
1538C23—6642no—
1539C23—6642no—
1540C23—6642no—
1541C23—6642no—
1542C23—1668no—
1543C23—1661no—
1544C23—1661no—
1545C23—1661no—
1546C23—1661no—
1547C23—1661no—
1548C23—1661no—
1549C23—1661no—
1550C23—1661no—
1551C23—1661no—
1552C23—1661no—
1553C23—1661no—
1554C23—1661no—
1555C23—1661no—
1556C23—1661no—
1557C23—1661no—
1558C23—1661no—
1559C23—1661no—
1560C23—1661no—
1561C23—1661no—
1562C23—1661no—
1563C23—1661no—
1564C23—1661no—
1565C23—1661no—
1566C23—1661no—
1567C23—1661no—
1568C23—1661no—
1569C23—1661no—
1570C23—1661no—
1571C23—1661no—
1572C23—1661no—
1573C23—1661no—
1574C23—1668no—
1575C23#41×D8312yes—
1576C23#1458183712yes—
1577C23#1458183812yes—
1578C23C24×D8311yescharacteristic
1579Q8—6642no—
1580D4—44no—
1581D4—44no—
1582D4—82no—
1583D4—3324no—
1584D4—3324no—
1585D4—3324no—
1586D4—3324no—
1587D4—3324no—
1588D4—3324no—
1589D4—3324no—
1590D4—6642no—
1591D4—6642no—
1592D4—6642no—
1593D4—6642no—
1594D4—6642no—
1595D4—6642no—
1596D4—6642no—
1597D4—6642no—
1598D4—6642no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—44no—
1635C2×C4—44no—
1636C2×C4—82no—
1637C2×C4—82no—
1638C2×C4—3324no—
1639C2×C4—3324no—
1640C2×C4—3324no—
1641C2×C4—3324no—
1642C2×C4—3324no—
1643C2×C4—3324no—
1644C2×C4—6642no—
1645C2×C4—6642no—
1646C2×C4—6642no—
1647C2×C4—1661no—
1648C2×C4—1661no—
1649C2×C4—1661no—
1650C2×C4—1661no—
1651C2×C4—1661no—
1652C2×C4—1661no—
1653C2×C4—1661no—
1654C2×C4—1661no—
1655C2×C4—1661no—
1656C2×C4—1661no—
1657C2×C4—1661no—
1658C2×C4—1661no—
1659C2×C4—1661no—
1660C2×C4—1661no—
1661C2×C4—1661no—
1662C2×C4—1661no—
1663C2×C4—1661no—
1664C2×C4—1661no—
1665C2×C4—1661no—
1666C2×C4—1661no—
1667C2×C4—1661no—
1668C2×C4—1661no—
1669C2×C4—1661no—
1670C2×C4—1661no—
1671C2×C4—1661no—
1672C2×C4—1661no—
1673C2×C4—1661no—
1674C2×C4—1661no—
1675C2×C4—1661no—
1676C2×C4—1661no—
1677C2×C4—1661no—
1678C2×C4—1661no—
1679C2×C4—1661no—
1680C2×C4#1458183812yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—33216no—
1702C22—3321no—
1703C22—3321no—
1704C22—3321no—
1705C22—3321no—
1706C22—3321no—
1707C22—3321no—
1708C22—3321no—
1709C22—3321no—
1710C22—3321no—
1711C22—3321no—
1712C22—3321no—
1713C22—3321no—
1714C22—3321no—
1715C22—3321no—
1716C22—3321no—
1717C22—3321no—
1718C22—3321no—
1719C22—3321no—
1720C22—3321no—
1721C22—3321no—
1722C22—3321no—
1723C22—3321no—
1724C22—3321no—
1725C22—6648no—
1726C22—6648no—
1727C22—1662no—
1728C22—1662no—
1729C22—1662no—
1730C22—1662no—
1731C22—1662no—
1732C22—1662no—
1733C22—1662no—
1734C22—1662no—
1735C22—1662no—
1736C22—1662no—
1737C22—1662no—
1738C22—1662no—
1739C22#1912828714yes—
1740C22C2×#41×D8311yescharacteristic
1741C22H(5,𝔽2)×D8311yescharacteristic
1742C22H(5,𝔽2)×D8311yescharacteristic
1743C22C2×#1458183711yescharacteristic
1744C22C2×#1458183811yescharacteristic
1745C22C2×#1458183811yescharacteristic
1746C22#1912853711yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—3321no—
1760C4—3321no—
1761C4—3321no—
1762C4—3321no—
1763C4—3321no—
1764C4—3321no—
1765C4—3321no—
1766C4—3321no—
1767C4—3321no—
1768C4—3321no—
1769C4—3321no—
1770C2—24no—
1771C2—81no—
1772C2—81no—
1773C2—3322no—
1774C2—3322no—
1775C2—3322no—
1776C2—3322no—
1777C2—6641no—
1778C2C2×#1912828711yescharacteristic
1779C2#2492114911yescharacteristic
1780C2#2492129811yescharacteristic
1781C2#2492161211yescharacteristic
1782C2#2492164011yescharacteristic
1783C2#2492164511yescharacteristic
1784C2#2492169911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2444C2
hypercenter#2444D83
hypocenterC83#36776
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. #24915758C2semidirect
2. #24915742C2semidirect
3. #24915087C2semidirect
4. #24915079C2semidirect
5. #24914840C2semidirect
6. #24914698C2semidirect
7. #24914691C2semidirect
8. #24914685C2semidirect
9. #24914601C2semidirect
10. #24914108C2semidirect
11. #24914023C2semidirect
12. #24914011C2semidirect
13. #24913899C2semidirect
14. #24913894C2semidirect
15. #24913845C2semidirect
16. #24913795C2semidirect
17. #24913771C2semidirect
18. #24913669C2semidirect
19. #24913418C2semidirect
20. #24913393C2semidirect
21. #24912023C2semidirect
22. #24911591C2semidirect
23. #24911127C2semidirect
24. #24910993C2semidirect
25. #24910840C2semidirect
26. #24910834C2semidirect
27. #24910775C2semidirect
28. #24910117C2semidirect
29. #24910037C2semidirect
30. C2×#19127579C2semidirect
31. C83×#2444C2semidirect
34. C23×C4×D83C22semidirect
35. C2×#14581778C22semidirect
36. C2×#14581777C22semidirect
37. C2×#14581777C22semidirect
38. C2×#14581772C22semidirect
39. C2×#14581769C22semidirect
40. C2×#14581766C22semidirect
41. C2×#14581765C22semidirect
42. C2×#14581765C22semidirect
44. C2×#14581763C22semidirect
45. C2×#14581763C22semidirect
51. C2×#14581760C22semidirect
52. C2×#14581760C22semidirect
55. C22×(C2×D83)⋊C4C22semidirect
57. C83⋊#401C22semidirect
58. C83⋊#401C22semidirect
59. #19127643C22semidirect
60. #19127643C22semidirect
61. #19127643C22semidirect
62. #19127642C22semidirect
63. #19127642C22semidirect
64. #19127641C22semidirect
65. #19127638C22semidirect
66. #19127630C22semidirect
67. #19127630C22semidirect
68. #19127630C22semidirect
69. #19127629C22semidirect
70. #19127629C22semidirect
71. #19127629C22semidirect
72. #19127628C22semidirect
73. #19127626C22semidirect
74. #19127624C22semidirect
75. #19127623C22semidirect
76. #19127623C22semidirect
77. #19127623C22semidirect
80. #19127618C22semidirect
81. #19127618C22semidirect
82. #19127617C22semidirect
83. #19127617C22semidirect
84. #19127617C22semidirect
85. #19127616C22semidirect
86. #19127616C22semidirect
87. #19127616C22semidirect
88. #19127614C22semidirect
89. #19127614C22semidirect
90. #19127614C22semidirect
91. #19127613C22semidirect
98. #19127610C22semidirect
99. #19127610C22semidirect
100. #19127609C22semidirect
101. #19127603C22semidirect
102. #19127601C22semidirect
103. #19127601C22semidirect
104. #19127601C22semidirect
105. #19127593C22semidirect
106. #19127593C22semidirect
107. #19127592C22semidirect
108. #19127592C22semidirect
109. #19127592C22semidirect
110. #19127591C22semidirect
111. #19127591C22semidirect
112. #19127590C22semidirect
113. #19127590C22semidirect
114. #19127584C22semidirect
117. #19127581C22semidirect
121. #19127580C22semidirect
122. #19127580C22semidirect
123. #19127580C22semidirect
130. #19127579C22semidirect
131. #19127579C22semidirect
132. #19127579C22semidirect
133. #19127579C22semidirect
134. #19127579C22semidirect
135. #19127579C22semidirect
136. #19127579C22semidirect
137. #19127579C22semidirect
138. #19127579C22semidirect
139. #19127579C22semidirect
141. #19127577C22semidirect
142. #19127577C22semidirect
143. #19127577C22semidirect
144. #19127577C22semidirect
145. #19127577C22semidirect
146. #19127577C22semidirect
147. #19127577C22semidirect
148. #19127576C22semidirect
149. #19127575C22semidirect
150. #19127575C22semidirect
151. #19127574C22semidirect
152. #19127573C22semidirect
153. #19127572C22semidirect
154. #19127572C22semidirect
155. #19127572C22semidirect
156. #19127568C22semidirect
157. #19127563C22semidirect
158. #19127563C22semidirect
159. #19127563C22semidirect
160. #19127563C22semidirect
161. #19127561C22semidirect
162. #19127558C22semidirect
163. #19127558C22semidirect
164. #19127558C22semidirect
166. #19127556C22semidirect
167. #19127556C22semidirect
168. #19127556C22semidirect
169. #19127556C22semidirect
170. C4×C22⋊Dic83C22semidirect
171. C2×C83⋊#95C22semidirect
173. C2×C4×D4×C83C22semidirect
174. #400×C83C22semidirect
175. #397×C83C22semidirect
176. #397×C83C22semidirect
177. #394×C83C22semidirect
178. #388×C83C22semidirect
179. #387×C83C22semidirect
182. #386×C83C22semidirect
183. #386×C83C22semidirect
184. #385×C83C22semidirect
185. #381×C83C22semidirect
186. C2×#95×C83C22semidirect
915. #2444D83semidirect
924. C83#36776semidirect
947. C2×C4×D4C2×D83semidirect
960. #400C2×D83semidirect
970. #397C2×D83semidirect
971. #397C2×D83semidirect
986. #394C2×D83semidirect
1013. #388C2×D83semidirect
1015. #387C2×D83semidirect
1051. #386C2×D83semidirect
1052. #386C2×D83semidirect
1061. #385C2×D83semidirect
1067. #381C2×D83semidirect
1079. C2×#95C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157582
#249157422
#249150872
#249150792
#249148402
#249146982
#249146912
#249146852
#249146012
#249141082
#249140232
#249140112
#249138992
#249138942
#249138452
#249137952
#249137712
#249136692
#249134182
#249133932
#249120232
#249115912
#249111272
#249109932
#249108402
#249108342
#249107752
#249101172
#249100372
C2×#191275792
C83×#24442
#3677683