Finite Group Databasebeta

← #35613311

Subgroups — #35613311

Order 21248.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915758C211yesmaximal, characteristic, complemented
2#24915746C211yesmaximal, characteristic, complemented
3#24915321C211yesmaximal, characteristic, complemented
4#24915177C211yesmaximal, characteristic, complemented
5#24914791C211yesmaximal, characteristic, complemented
6#24914746C211yesmaximal, characteristic, complemented
7#24914726C211yesmaximal, characteristic, complemented
8#24914693C211yesmaximal, characteristic, complemented
9#24914558C211yesmaximal, characteristic, complemented
10#24914195C211yesmaximal, characteristic, complemented
11#24914195C211yesmaximal, characteristic, complemented
12#24914153C211yesmaximal, characteristic, complemented
13#24914105C211yesmaximal, characteristic, complemented
14#24914049C211yesmaximal, characteristic, complemented
15#24913906C211yesmaximal, characteristic, complemented
16#24913732C211yesmaximal, characteristic, complemented
17#24913732C211yesmaximal, characteristic, complemented
18#24913706C211yesmaximal, characteristic, complemented
19#24913241C211yesmaximal, characteristic, complemented
20#24913200C211yesmaximal, characteristic, complemented
21#24912423C211yesmaximal, characteristic, complemented
22#24911100C211yesmaximal, characteristic, complemented
23#24910997C211yesmaximal, characteristic, complemented
24#24910997C211yesmaximal, characteristic, complemented
25#24910931C211yesmaximal, characteristic, complemented
26#24910931C211yesmaximal, characteristic, complemented
27#24910820C211yesmaximal, characteristic, complemented
28#24910163C211yesmaximal, characteristic, complemented
29#24910090C211yesmaximal, characteristic, complemented
30C2×#19127579C211yesmaximal, characteristic, complemented
31C83×#2569C211yesmaximal, characteristic, complemented
32C23×D332C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C2×#14581789C2211yescharacteristic
35C2×#14581789C2211yescharacteristic
36C2×#14581777C2211yescharacteristic, complemented
37C2×#14581777C2211yescharacteristic, complemented
38C2×#14581777C2211yescharacteristic, complemented
39C2×#14581777C2211yescharacteristic, complemented
40C2×#14581767C2211yescharacteristic
41C2×#14581767C2211yescharacteristic
42C2×#14581767C2211yescharacteristic, complemented
43C2×#14581767C2211yescharacteristic, complemented
44C2×#14581767C2211yescharacteristic, complemented
45C2×#14581767C2211yescharacteristic, complemented
46C2×#14581766C2211yescharacteristic
47C2×#14581766C2211yescharacteristic
48C2×#14581766C2211yescharacteristic
49C2×#14581762C2211yescharacteristic
50C2×#14581762C2211yescharacteristic
51C2×#14581762C2211yescharacteristic
52C2×#14581762C2211yescharacteristic
53C2×#14581762C2211yescharacteristic
54C2×#14581762C2211yescharacteristic
55C2×C4×C22⋊D83C2211yescharacteristic
56C2×(C22⋊D83)⋊C4C2211yescharacteristic
57C2×(C22⋊D83)⋊C4C2211yescharacteristic
58C22×(C2×D83)⋊C4C2211yescharacteristic
59C22×(C2×D83)⋊C4C2211yescharacteristic
60C22×(C2×D83)⋊C4C2211yescharacteristic
61#19127636C2211yescharacteristic, complemented
62#19127636C2211yescharacteristic, complemented
63#19127633C2211yescharacteristic, complemented
64#19127630C2211yescharacteristic, complemented
65#19127630C2211yescharacteristic, complemented
66#19127630C2211yescharacteristic, complemented
67#19127630C2211yescharacteristic, complemented
68#19127628C2211yescharacteristic, complemented
69#19127628C2211yescharacteristic, complemented
70#19127628C2211yescharacteristic, complemented
71#19127627C2211yescharacteristic, complemented
72#19127627C2211yescharacteristic, complemented
73#19127623C2211yescharacteristic, complemented
74#19127623C2211yescharacteristic, complemented
75#19127619C2211yescharacteristic
76#19127619C2211yescharacteristic
77#19127619C2211yescharacteristic, complemented
78#19127619C2211yescharacteristic, complemented
79#19127619C2211yescharacteristic, complemented
80#19127619C2211yescharacteristic, complemented
81#19127619C2211yescharacteristic, complemented
82#19127619C2211yescharacteristic, complemented
83#19127619C2211yescharacteristic, complemented
84#19127618C2211yescharacteristic, complemented
85#19127618C2211yescharacteristic, complemented
86#19127618C2211yescharacteristic, complemented
87#19127618C2211yescharacteristic, complemented
88#19127618C2211yescharacteristic, complemented
89#19127618C2211yescharacteristic, complemented
90#19127618C2211yescharacteristic, complemented
91#19127618C2211yescharacteristic, complemented
92#19127618C2211yescharacteristic, complemented
93#19127618C2211yescharacteristic, complemented
94#19127611C2211yescharacteristic
95#19127611C2211yescharacteristic
96#19127611C2211yescharacteristic
97#19127611C2211yescharacteristic
98#19127611C2211yescharacteristic
99#19127611C2211yescharacteristic
100#19127611C2211yescharacteristic, complemented
101#19127611C2211yescharacteristic, complemented
102#19127611C2211yescharacteristic, complemented
103#19127611C2211yescharacteristic, complemented
104#19127611C2211yescharacteristic, complemented
105#19127603C2211yescharacteristic
106#19127603C2211yescharacteristic
107#19127602C2211yescharacteristic
108#19127602C2211yescharacteristic
109#19127602C2211yescharacteristic, complemented
110#19127602C2211yescharacteristic, complemented
111#19127593C2211yescharacteristic, complemented
112#19127593C2211yescharacteristic, complemented
113#19127593C2211yescharacteristic, complemented
114#19127593C2211yescharacteristic, complemented
115#19127592C2211yescharacteristic, complemented
116#19127592C2211yescharacteristic, complemented
117#19127591C2211yescharacteristic, complemented
118#19127591C2211yescharacteristic, complemented
119#19127591C2211yescharacteristic, complemented
120#19127591C2211yescharacteristic, complemented
121#19127590C2211yescharacteristic, complemented
122#19127590C2211yescharacteristic, complemented
123#19127585C2211yescharacteristic, complemented
124#19127585C2211yescharacteristic, complemented
125#19127584C2211yescharacteristic, complemented
126#19127584C2211yescharacteristic, complemented
127#19127580C2211yescharacteristic
128#19127580C2211yescharacteristic
129#19127579C2211yescharacteristic
130#19127579C2211yescharacteristic
131#19127579C2211yescharacteristic
132#19127579C2211yescharacteristic
133#19127579C2211yescharacteristic
134#19127579C2211yescharacteristic
135#19127579C2211yescharacteristic
136#19127579C2211yescharacteristic
137#19127579C2211yescharacteristic, complemented
138#19127579C2211yescharacteristic, complemented
139#19127579C2211yescharacteristic, complemented
140#19127579C2211yescharacteristic, complemented
141#19127579C2211yescharacteristic, complemented
142#19127579C2211yescharacteristic, complemented
143#19127579C2211yescharacteristic, complemented
144#19127579C2211yescharacteristic, complemented
145#19127579C2211yescharacteristic, complemented
146#19127579C2211yescharacteristic, complemented
147#19127579C2211yescharacteristic, complemented
148#19127579C2211yescharacteristic, complemented
149#19127579C2211yescharacteristic, complemented
150#19127579C2211yescharacteristic, complemented
151#19127578C2211yescharacteristic
152#19127578C2211yescharacteristic
153#19127578C2211yescharacteristic
154#19127578C2211yescharacteristic
155#19127573C2211yescharacteristic
156#19127573C2211yescharacteristic
157#19127572C2211yescharacteristic, complemented
158#19127572C2211yescharacteristic, complemented
159#19127572C2211yescharacteristic, complemented
160#19127572C2211yescharacteristic, complemented
161#19127568C2211yescharacteristic, complemented
162#19127565C2211yescharacteristic, complemented
163#19127563C2211yescharacteristic, complemented
164#19127563C2211yescharacteristic, complemented
165#19127563C2211yescharacteristic, complemented
166#19127560C2211yescharacteristic, complemented
167#19127558C2211yescharacteristic, complemented
168#19127558C2211yescharacteristic, complemented
169#19127556C2211yescharacteristic
170#19127556C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172#400×C83C2211yescharacteristic, complemented
173#400×C83C2211yescharacteristic, complemented
174#398×C83C2211yescharacteristic, complemented
175#398×C83C2211yescharacteristic, complemented
176#387×C83C2211yescharacteristic, complemented
177#387×C83C2211yescharacteristic, complemented
178#387×C83C2211yescharacteristic, complemented
179#387×C83C2211yescharacteristic, complemented
180#385×C83C2211yescharacteristic
181#385×C83C2211yescharacteristic
182#380×C83C2211yescharacteristic
183#380×C83C2211yescharacteristic
184#380×C83C2211yescharacteristic
185C4×C22⋊C4×C83C2211yescharacteristic
186C2×#95×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C24×D83C2311yescharacteristic
189C22×D332—24no—
190C22×D332—42no—
191C22×D332—42no—
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×D332C2311yescharacteristic
200C22×D332C2311yescharacteristic
201C22×D332C2311yescharacteristic
202C22×D332C2311yescharacteristic
203C22×D332C2311yescharacteristic
204C22×D332C2311yescharacteristic
205C22×D332C2311yescharacteristic
206C22×D332C2311yescharacteristic
207C22×D332C2311yescharacteristic
208C22×D332C2311yescharacteristic
209C22×D332C2311yescharacteristic
210C22×D332C2311yescharacteristic
211C22×C22⋊D83C2311yescharacteristic
212C22×C22⋊D83C2311yescharacteristic
213C22×C22⋊D83C2311yescharacteristic
214C23×Dic83C2311yescharacteristic
215C23×Dic83C2311yescharacteristic
216C22×C4×D83—42no—
217C22×C4×D83—42no—
218C22×C4×D83—42no—
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224C22×C4×D83C2311yescharacteristic
225C22×C4×D83C2311yescharacteristic
226#14581789—42no—
227#14581789—42no—
228#14581777—42no—
229#14581777—42no—
230#14581777—42no—
231#14581777—42no—
232#14581767—42no—
233#14581767—42no—
234#14581767—42no—
235#14581767—42no—
236#14581767—42no—
237#14581767—42no—
238#14581766—24no—
239#14581766—42no—
240#14581766—42no—
241#14581762—42no—
242#14581762—42no—
243#14581762—42no—
244#14581762—42no—
245#14581762—42no—
246#14581762—42no—
247C4×C22⋊D83—24no—
248(C22⋊D83)⋊C4—42no—
249(C22⋊D83)⋊C4—42no—
250C2×C4⋊Dic83C2311yescharacteristic
251C2×C4⋊Dic83C2311yescharacteristic
252C2×C4⋊Dic83C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×(C2×D83)⋊C4—42no—
262C2×(C2×D83)⋊C4—42no—
263C2×(C2×D83)⋊C4—42no—
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
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
307C2×(C2×D83)⋊C4C2311yescharacteristic
308C2×(C2×D83)⋊C4C2311yescharacteristic
309C2×(C2×D83)⋊C4C2311yescharacteristic
310C2×(C2×D83)⋊C4C2311yescharacteristic
311C2×(C2×D83)⋊C4C2311yescharacteristic
312C2×(C2×D83)⋊C4C2311yescharacteristic
313C2×(C2×D83)⋊C4C2311yescharacteristic
314C2×(C2×D83)⋊C4C2311yescharacteristic
315C2×(C2×D83)⋊C4C2311yescharacteristic
316C2×(C2×D83)⋊C4C2311yescharacteristic
317C2×C4×Dic83C2311yescharacteristic
318C2×C4×Dic83C2311yescharacteristic
319C2×C4×Dic83C2311yescharacteristic
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
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C23×C4×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C4⋊C4×C83C2311yescharacteristic
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C4⋊C4×C83C2311yescharacteristic
350C2×C4⋊C4×C83C2311yescharacteristic
351C2×C4⋊C4×C83C2311yescharacteristic
352C2×C4⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C42×C83C2311yescharacteristic
358C2×C42×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
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×D83C2411yescharacteristic
390C23×D83C2411yescharacteristic
391C23×D83C2411yescharacteristic
392C23×D83C2411yescharacteristic
393C23×D83C2411yescharacteristic
394C23×D83C2411yescharacteristic
395C23×D83C2411yescharacteristic
396C2×D332—22no—
397C2×D332—22no—
398C2×D332—22no—
399C2×D332—22no—
400C2×D332—22no—
401C2×D332—22no—
402C2×D332—22no—
403C2×D332—22no—
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—41no—
413C2×D332—41no—
414C2×D332—41no—
415C2×D332—41no—
416C2×D332—416no—
417C2×D332—41no—
418C2×D332—41no—
419C2×D332—41no—
420C2×D332—41no—
421C2×D332—41no—
422C2×D332—41no—
423C2×D332—41no—
424C2×D332—41no—
425C2×D332—41no—
426C2×D332—41no—
427C2×D332—41no—
428C2×D332—41no—
429C2×D332—41no—
430C2×D332—41no—
431C2×D332—41no—
432C2×D332—41no—
433C2×D332—41no—
434C2×D332—41no—
435C2×D332—41no—
436C2×D332—41no—
437C2×D332—41no—
438C2×D332—41no—
439C2×D332—41no—
440C2×D332—41no—
441C2×D332—41no—
442C2×D332—41no—
443C2×D332—41no—
444C2×D332—41no—
445C2×D332—41no—
446C2×D332—41no—
447C2×D332—41no—
448C2×D332—41no—
449C2×D332—41no—
450C2×D332—41no—
451C2×D332—41no—
452C2×D332—41no—
453C2×D332—41no—
454C2×C22⋊D83—22no—
455C2×C22⋊D83—22no—
456C2×C22⋊D83—22no—
457C2×C22⋊D83—22no—
458C2×C22⋊D83—22no—
459C2×C22⋊D83—22no—
460C2×C22⋊D83—22no—
461C2×C22⋊D83—22no—
462C2×C22⋊D83—22no—
463C22×Dic83—22no—
464C22×Dic83—22no—
465C22×Dic83—41no—
466C22×Dic83—41no—
467C22×Dic83—41no—
468C22×Dic83—41no—
469C22×Dic83C2411yescharacteristic
470C22×Dic83C2411yescharacteristic
471C22×Dic83C2411yescharacteristic
472C22×Dic83C2411yescharacteristic
473C22×Dic83C2411yescharacteristic
474C22×Dic83C2411yescharacteristic
475C22×Dic83C2411yescharacteristic
476C22×Dic83C2411yescharacteristic
477C22×Dic83C2411yescharacteristic
478C2×C4×D83—22no—
479C2×C4×D83—22no—
480C2×C4×D83—22no—
481C2×C4×D83—22no—
482C2×C4×D83—22no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83—41no—
487C2×C4×D83—41no—
488C2×C4×D83—41no—
489C2×C4×D83—41no—
490C2×C4×D83—41no—
491C2×C4×D83—416no—
492C2×C4×D83—41no—
493C2×C4×D83—41no—
494C2×C4×D83—41no—
495C2×C4×D83—41no—
496C2×C4×D83—41no—
497C2×C4×D83—41no—
498C2×C4×D83—41no—
499C2×C4×D83—41no—
500C4⋊Dic83—22no—
501C4⋊Dic83—41no—
502C4⋊Dic83—41no—
503Dic83⋊C4—22no—
504Dic83⋊C4—41no—
505Dic83⋊C4—41no—
506Dic83⋊C4—41no—
507Dic83⋊C4—41no—
508Dic83⋊C4—41no—
509Dic83⋊C4—41no—
510C22⋊Dic83—22no—
511(C2×D83)⋊C4—22no—
512(C2×D83)⋊C4—22no—
513(C2×D83)⋊C4—22no—
514(C2×D83)⋊C4—22no—
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—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—
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—
554(C2×D83)⋊C4—41no—
555(C2×D83)⋊C4—41no—
556(C2×D83)⋊C4—41no—
557(C2×D83)⋊C4—41no—
558(C2×D83)⋊C4—41no—
559(C2×D83)⋊C4—41no—
560(C2×D83)⋊C4—41no—
561(C2×D83)⋊C4—41no—
562(C2×D83)⋊C4—41no—
563(C2×D83)⋊C4—41no—
564C4×Dic83—22no—
565C4×Dic83—41no—
566C4×Dic83—41no—
567C24×C83C2411yescharacteristic
568C22×C4×C83—22no—
569C22×C4×C83—22no—
570C22×C4×C83—22no—
571C22×C4×C83—41no—
572C22×C4×C83—41no—
573C22×C4×C83—41no—
574C22×C4×C83—41no—
575C22×C4×C83—41no—
576C22×C4×C83#4114yes—
577C22×C4×C83C2411yescharacteristic
578C22×C4×C83C2411yescharacteristic
579C22×C4×C83C2411yescharacteristic
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
591C4⋊C4×C83—22no—
592C4⋊C4×C83—22no—
593C4⋊C4×C83—41no—
594C4⋊C4×C83—41no—
595C4⋊C4×C83—41no—
596C4⋊C4×C83—41no—
597C4⋊C4×C83—41no—
598C4⋊C4×C83—41no—
599C4⋊C4×C83—41no—
600C4⋊C4×C83—41no—
601C22⋊C4×C83—22no—
602C22⋊C4×C83—22no—
603C22⋊C4×C83—22no—
604C22⋊C4×C83—22no—
605C42×C83—41no—
606C42×C83—41no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—21no—
611C23×C83C2×#4112yes—
612C23×C83H(5,𝔽2)12yes—
613C23×C83H(5,𝔽2)12yes—
614C23×C83C2511yescharacteristic
615C22×D83—28no—
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—21no—
630C22×D83—21no—
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—21no—
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×D83H(5,𝔽2)12yes—
677C22×D83H(5,𝔽2)12yes—
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—44no—
718C2×C4×C83—44no—
719C2×C4×C83—82no—
720C2×C4×C83C2×#4112yes—
721C2×C4×C83C2×#4112yes—
722C2×C4×C83H(5,𝔽2)12yes—
723C22⋊D83—44no—
724C22⋊D83—44no—
725C22⋊D83—44no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—21no—
729C2×Dic83—21no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—21no—
735C2×Dic83—21no—
736C2×Dic83—21no—
737C2×Dic83—21no—
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—44no—
754C2×Dic83—82no—
755D332—44no—
756D332—44no—
757D332—44no—
758D332—44no—
759D332—82no—
760D332—82no—
761D332—82no—
762D332—82no—
763D332—82no—
764D332—82no—
765D332—82no—
766D332—82no—
767D332—82no—
768D332—82no—
769D332—82no—
770D332—82no—
771D332—82no—
772D332—82no—
773D332—82no—
774C4×D83—44no—
775C4×D83—44no—
776C4×D83—44no—
777C4×D83—44no—
778C4×D83—82no—
779C4×D83—82no—
780C4×D83—82no—
781C22×C83—22no—
782C22×C83—22no—
783C22×C83—22no—
784C22×C83—22no—
785C22×C83—22no—
786C22×C83—22no—
787C22×C83#54014yes—
788C22×C83C22×#4111yescharacteristic
789C22×C83C2×H(5,𝔽2)11yescharacteristic
790C22×C83C2×H(5,𝔽2)11yescharacteristic
791C22×C83C2×H(5,𝔽2)11yescharacteristic
792C22×C83C2×H(5,𝔽2)11yescharacteristic
793C22×C83C2×H(5,𝔽2)11yescharacteristic
794C22×C83#58511yescharacteristic
795C2×D83—22no—
796C2×D83—22no—
797C2×D83—22no—
798C2×D83—22no—
799C2×D83—22no—
800C2×D83—22no—
801C2×D83—416no—
802C2×D83—41no—
803C2×D83—41no—
804C2×D83—41no—
805C2×D83—41no—
806C2×D83—41no—
807C2×D83—41no—
808C2×D83—41no—
809C2×D83—41no—
810C2×D83—41no—
811C2×D83—41no—
812C2×D83—41no—
813C2×D83—41no—
814C2×D83—41no—
815C2×D83—41no—
816C2×D83—41no—
817C2×D83—41no—
818C2×D83—41no—
819C2×D83—41no—
820C2×D83—41no—
821C2×D83—41no—
822C2×D83—41no—
823C2×D83—41no—
824C2×D83—41no—
825C2×D83—41no—
826C2×D83—41no—
827C2×D83—41no—
828C2×D83—41no—
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—88no—
846C4×C83—22no—
847C4×C83—22no—
848C4×C83—22no—
849C4×C83—41no—
850C4×C83—41no—
851C4×C83—41no—
852C4×C83—41no—
853C4×C83—41no—
854C4×C83—41no—
855C4×C83—41no—
856C4×C83—41no—
857C4×C83—41no—
858C4×C83—41no—
859C4×C83—41no—
860Dic83—41no—
861Dic83—41no—
862Dic83—41no—
863Dic83—41no—
864Dic83—41no—
865Dic83—41no—
866Dic83—41no—
867Dic83—41no—
868Dic83—41no—
869#36794—831nomaximal, Sylow
870C2×C83—24no—
871C2×C83C2×#54011yescharacteristic
872C2×C83#349011yescharacteristic
873C2×C83#350611yescharacteristic
874C2×C83#353211yescharacteristic
875C2×C83#353411yescharacteristic
876C2×C83#353411yescharacteristic
877C2×C83#353711yescharacteristic
878D83—42no—
879D83—42no—
880D83—81no—
881D83—81no—
882D83—81no—
883D83—81no—
884D83—81no—
885#2849—831no—
886#2847—831no—
887#2797—831no—
888#2786—831no—
889#2756—831no—
890#2753—831no—
891#2752—831no—
892#2749—831no—
893#2740—831no—
894#2709—831no—
895#2709—831no—
896#2706—831no—
897#2703—831no—
898#2699—831no—
899#2688—831no—
900#2673—831no—
901#2673—831no—
902#2671—831no—
903#2622—831no—
904#2617—831no—
905#2569D8311yescharacteristic, complemented
906#2543—831no—
907#2433—831no—
908#2424—831no—
909#2424—831no—
910#2418—831no—
911#2418—831no—
912#2408—831no—
913#2325—831no—
914#2318—831no—
915C2×#386—831no—
916C83#3679411yescharacteristic, complemented, Sylow
917C23×D4—831no—
918C24×C4—831no—
919C2×#127—831no—
920C2×#127—831no—
921C2×#123—831no—
922C2×#123—831no—
923C2×#123—831no—
924C2×#123—831no—
925C2×#121—831no—
926C2×#121—831no—
927C2×#121—831no—
928C2×#121—831no—
929C2×#121—831no—
930C2×#121—831no—
931C2×#121—831no—
932C2×#121—831no—
933C2×#121—831no—
934C2×#120—831no—
935C2×#120—831no—
936C2×#120—831no—
937C2×#120—831no—
938C2×#120—831no—
939C2×#120—831no—
940C2×C4×D4—831no—
941C2×C4×D4—831no—
942C2×C4×D4—831no—
943C22×C22⋊C4—831no—
944C22×C22⋊C4—831no—
945C22×C22⋊C4—831no—
946#400C2×D8311yescharacteristic, complemented
947#400C2×D8311yescharacteristic, complemented
948#399—831no—
949#399—831no—
950#398—831no—
951#398C2×D8311yescharacteristic, complemented
952#398C2×D8311yescharacteristic, complemented
953#397—831no—
954#397—831no—
955#397—831no—
956#397—831no—
957#397—831no—
958#397—831no—
959#397—831no—
960#397—831no—
961#397—831no—
962#396—831no—
963#396—831no—
964#394—831no—
965#394—831no—
966#394—831no—
967#394—831no—
968#394—831no—
969#394—831no—
970#394—831no—
971#394—831no—
972#394—831no—
973#394—831no—
974#394—831no—
975#394—831no—
976#394—831no—
977#394—831no—
978#394—831no—
979#394—831no—
980#394—831no—
981#394—831no—
982#394—831no—
983#392—831no—
984#392—831no—
985#392—831no—
986#392—831no—
987#392—831no—
988#392—831no—
989#392—831no—
990#392—831no—
991#392—831no—
992#392—831no—
993#392—831no—
994#390—831no—
995#390—831no—
996#390—831no—
997#390—831no—
998#390—831no—
999#390—831no—
1000#388—831no—
1001#388—831no—
1002#388—831no—
1003#388—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#387—831no—
1013#387—831no—
1014#387—831no—
1015#387—831no—
1016#387C2×D8311yescharacteristic, complemented
1017#387C2×D8311yescharacteristic, complemented
1018#387C2×D8311yescharacteristic, complemented
1019#387C2×D8311yescharacteristic, complemented
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#385—831no—
1049#385—831no—
1050#385—831no—
1051#385—831no—
1052#385—831no—
1053#385—831no—
1054#385C2×D8311yescharacteristic
1055#385C2×D8311yescharacteristic
1056#383—831no—
1057#382—831no—
1058#381—831no—
1059#381—831no—
1060#381—831no—
1061#380—831no—
1062#380—831no—
1063#380—831no—
1064#380C2×D8311yescharacteristic
1065#380C2×D8311yescharacteristic
1066#380C2×D8311yescharacteristic
1067#379—831no—
1068#379—831no—
1069C4×C22⋊C4C2×D8311yescharacteristic
1070C2×#95—831no—
1071C2×#95C2×D8311yescharacteristic
1072C25—831no—
1073C25—831no—
1074C22×D4—3322no—
1075C22×D4—3322no—
1076C22×D4—831no—
1077C22×D4—831no—
1078C22×D4—831no—
1079C22×D4—831no—
1080C22×D4—831no—
1081C22×D4—831no—
1082C22×D4—831no—
1083C22×D4—831no—
1084C22×D4—831no—
1085C22×D4—831no—
1086C22×D4—831no—
1087C22×D4—831no—
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—1664no—
1099C23×C4—3322no—
1100C23×C4—3322no—
1101C23×C4—3322no—
1102C23×C4—831no—
1103C23×C4—831no—
1104C23×C4—831no—
1105C23×C4—831no—
1106C23×C4—831no—
1107C23×C4—831no—
1108C23×C4—831no—
1109C23×C4—831no—
1110C23×C4—831no—
1111C23×C4C22×D8311yescharacteristic
1112C23×C4C22×D8311yescharacteristic
1113C23×C4C22×D8311yescharacteristic
1114#127—3322no—
1115#127—3322no—
1116#123—3322no—
1117#123—3322no—
1118#123—3322no—
1119#123—3322no—
1120#121—3322no—
1121#121—3322no—
1122#121—3322no—
1123#121—3322no—
1124#121—3322no—
1125#121—3322no—
1126#121—3322no—
1127#121—3322no—
1128#121—1664no—
1129#120—3322no—
1130#120—3322no—
1131#120—3322no—
1132#120—3322no—
1133#120—3322no—
1134#120—3322no—
1135C4×D4—3322no—
1136C4×D4—3322no—
1137C4×D4—1664no—
1138C2×C4⋊C4—831no—
1139C2×C4⋊C4—831no—
1140C2×C4⋊C4—831no—
1141C2×C4⋊C4—831no—
1142C2×C4⋊C4—831no—
1143C2×C4⋊C4—831no—
1144C2×C4⋊C4—831no—
1145C2×C4⋊C4—831no—
1146C2×C4⋊C4—831no—
1147C2×C4⋊C4—831no—
1148C2×C4⋊C4C22×D8311yescharacteristic
1149C2×C4⋊C4C22×D8311yescharacteristic
1150C2×C4⋊C4C22×D8311yescharacteristic
1151C2×C4⋊C4C22×D8311yescharacteristic
1152C2×C4⋊C4C22×D8311yescharacteristic
1153C2×C4⋊C4C22×D8311yescharacteristic
1154C2×C4⋊C4C22×D8311yescharacteristic
1155C2×C4⋊C4C22×D8311yescharacteristic
1156C2×C4⋊C4C22×D8311yescharacteristic
1157C2×C4⋊C4C22×D8311yescharacteristic
1158C2×C22⋊C4—3322no—
1159C2×C22⋊C4—3322no—
1160C2×C22⋊C4—3322no—
1161C2×C22⋊C4—831no—
1162C2×C22⋊C4—831no—
1163C2×C22⋊C4—831no—
1164C2×C22⋊C4—831no—
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⋊C4—831no—
1215C2×C22⋊C4C22×D8311yescharacteristic
1216C2×C22⋊C4C22×D8311yescharacteristic
1217C2×C22⋊C4C22×D8311yescharacteristic
1218C2×C22⋊C4C22×D8311yescharacteristic
1219C2×C42—831no—
1220C2×C42—831no—
1221C2×C42—831no—
1222C2×C42C22×D8311yescharacteristic
1223C2×C42C22×D8311yescharacteristic
1224#95—831no—
1225#95—831no—
1226#95—831no—
1227#95—831no—
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#95C22×D8311yescharacteristic
1245#95C22×D8311yescharacteristic
1246#95C22×D8311yescharacteristic
1247#95C22×D8311yescharacteristic
1248#95C22×D8311yescharacteristic
1249#95C22×D8311yescharacteristic
1250#95C22×D8311yescharacteristic
1251#95C22×D8311yescharacteristic
1252#95C22×D8311yescharacteristic
1253#95C22×D8311yescharacteristic
1254#95C22×D8311yescharacteristic
1255#95C22×D8311yescharacteristic
1256#95C22×D8311yescharacteristic
1257#95C22×D8311yescharacteristic
1258#95C22×D8311yescharacteristic
1259#95C22×D8311yescharacteristic
1260C24—3321no—
1261C24—3321no—
1262C24—3321no—
1263C24—3321no—
1264C24—3321no—
1265C24—3321no—
1266C24—831no—
1267C24—831no—
1268C24—831no—
1269C24—831no—
1270C24—831no—
1271C24—831no—
1272C24—831no—
1273C24—1662no—
1274C24—1662no—
1275C24—1662no—
1276C24—1662no—
1277C24—1662no—
1278C24—1662no—
1279C24—1662no—
1280C24—1662no—
1281C24C23×D8311yescharacteristic
1282C2×D4—3321no—
1283C2×D4—3321no—
1284C2×D4—3321no—
1285C2×D4—3321no—
1286C2×D4—3321no—
1287C2×D4—3321no—
1288C2×D4—3321no—
1289C2×D4—3321no—
1290C2×D4—3321no—
1291C2×D4—3321no—
1292C2×D4—3321no—
1293C2×D4—3321no—
1294C2×D4—3321no—
1295C2×D4—3321no—
1296C2×D4—3321no—
1297C2×D4—3321no—
1298C2×D4—3321no—
1299C2×D4—3321no—
1300C2×D4—3321no—
1301C2×D4—3321no—
1302C2×D4—3321no—
1303C2×D4—3321no—
1304C2×D4—3321no—
1305C2×D4—3321no—
1306C2×D4—3321no—
1307C2×D4—3321no—
1308C2×D4—3321no—
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—3321no—
1320C2×D4—3321no—
1321C2×D4—3321no—
1322C2×D4—3321no—
1323C2×D4—33216no—
1324C2×D4—1662no—
1325C2×D4—1662no—
1326C2×D4—1662no—
1327C2×D4—1662no—
1328C2×D4—1662no—
1329C2×D4—1662no—
1330C2×D4—1662no—
1331C2×D4—1662no—
1332C2×D4—1662no—
1333C2×D4—1662no—
1334C2×D4—1662no—
1335C2×D4—1662no—
1336C2×D4—1662no—
1337C2×D4—1662no—
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—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—3321no—
1358C22×C4—3321no—
1359C22×C4—3321no—
1360C22×C4—3321no—
1361C22×C4—3321no—
1362C22×C4—3321no—
1363C22×C4—3321no—
1364C22×C4—3321no—
1365C22×C4—3321no—
1366C22×C4—3321no—
1367C22×C4—3321no—
1368C22×C4—3321no—
1369C22×C4—3321no—
1370C22×C4—3321no—
1371C22×C4—3321no—
1372C22×C4—3321no—
1373C22×C4—33216no—
1374C22×C4—3321no—
1375C22×C4—3321no—
1376C22×C4—3321no—
1377C22×C4—3321no—
1378C22×C4—831no—
1379C22×C4—831no—
1380C22×C4—831no—
1381C22×C4—831no—
1382C22×C4—831no—
1383C22×C4—831no—
1384C22×C4—831no—
1385C22×C4—831no—
1386C22×C4—831no—
1387C22×C4—1662no—
1388C22×C4—1662no—
1389C22×C4—1662no—
1390C22×C4—1662no—
1391C22×C4—1662no—
1392C22×C4—1662no—
1393C22×C4—1662no—
1394C22×C4#1305059114yes—
1395C22×C4C23×D8311yescharacteristic
1396C22×C4C23×D8311yescharacteristic
1397C22×C4C23×D8311yescharacteristic
1398C22×C4C23×D8311yescharacteristic
1399C22×C4C23×D8311yescharacteristic
1400C22×C4C23×D8311yescharacteristic
1401C22×C4C23×D8311yescharacteristic
1402C22×C4C23×D8311yescharacteristic
1403C22×C4C23×D8311yescharacteristic
1404C22×C4C23×D8311yescharacteristic
1405C22×C4C23×D8311yescharacteristic
1406C22×C4C23×D8311yescharacteristic
1407C22×C4C23×D8311yescharacteristic
1408C22×C4C23×D8311yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—3321no—
1420C4⋊C4—3321no—
1421C4⋊C4—3321no—
1422C4⋊C4—3321no—
1423C4⋊C4—3321no—
1424C4⋊C4—3321no—
1425C4⋊C4—3321no—
1426C4⋊C4—3321no—
1427C4⋊C4—1662no—
1428C4⋊C4—1662no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—3321no—
1434C22⋊C4—3321no—
1435C22⋊C4—3321no—
1436C22⋊C4—3321no—
1437C22⋊C4—3321no—
1438C22⋊C4—3321no—
1439C22⋊C4—3321no—
1440C22⋊C4—3321no—
1441C22⋊C4—3321no—
1442C22⋊C4—3321no—
1443C22⋊C4—3321no—
1444C22⋊C4—3321no—
1445C22⋊C4—3321no—
1446C22⋊C4—3321no—
1447C22⋊C4—3321no—
1448C22⋊C4—3321no—
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—1662no—
1477C22⋊C4—1662no—
1478C22⋊C4—1662no—
1479C22⋊C4—1662no—
1480C22⋊C4—1662no—
1481C22⋊C4—1662no—
1482C22⋊C4—1662no—
1483C22⋊C4—1662no—
1484C22⋊C4—1662no—
1485C22⋊C4—1662no—
1486C22⋊C4—1662no—
1487C42—41no—
1488C42—41no—
1489C42—3321no—
1490C42—3321no—
1491C42—1662no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—3324no—
1497C23—3324no—
1498C23—3324no—
1499C23—3324no—
1500C23—3324no—
1501C23—3324no—
1502C23—3324no—
1503C23—3324no—
1504C23—3324no—
1505C23—832no—
1506C23—832no—
1507C23—6642no—
1508C23—6642no—
1509C23—6642no—
1510C23—6642no—
1511C23—1668no—
1512C23—1661no—
1513C23—1661no—
1514C23—1661no—
1515C23—1661no—
1516C23—1661no—
1517C23—1661no—
1518C23—1661no—
1519C23—1661no—
1520C23—1661no—
1521C23—1661no—
1522C23—1661no—
1523C23—1661no—
1524C23—1661no—
1525C23—1661no—
1526C23—1661no—
1527C23—1661no—
1528C23—1661no—
1529C23—1661no—
1530C23—1661no—
1531C23—1661no—
1532C23—1661no—
1533C23—1661no—
1534C23—1661no—
1535C23—1661no—
1536C23—1661no—
1537C23—1661no—
1538C23—1661no—
1539C23—1661no—
1540C23—1661no—
1541C23—1661no—
1542C23—1661no—
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—
1559C23C2×#1305059112yes—
1560C23#1458183812yes—
1561C23#1458183812yes—
1562C23C24×D8311yescharacteristic
1563D4—3324no—
1564D4—3324no—
1565D4—3324no—
1566D4—3324no—
1567D4—3324no—
1568D4—3324no—
1569D4—3324no—
1570D4—6642no—
1571D4—6642no—
1572D4—6642no—
1573D4—6642no—
1574D4—6642no—
1575D4—6642no—
1576D4—6642no—
1577D4—6642no—
1578D4—6642no—
1579D4—6642no—
1580D4—6642no—
1581D4—6642no—
1582D4—6642no—
1583D4—6642no—
1584D4—6642no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
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—44no—
1625C2×C4—44no—
1626C2×C4—82no—
1627C2×C4—3324no—
1628C2×C4—3324no—
1629C2×C4—3324no—
1630C2×C4—3324no—
1631C2×C4—3324no—
1632C2×C4—6642no—
1633C2×C4—6642no—
1634C2×C4—6642no—
1635C2×C4—6642no—
1636C2×C4—1661no—
1637C2×C4—1661no—
1638C2×C4—1661no—
1639C2×C4—1661no—
1640C2×C4—1661no—
1641C2×C4—1661no—
1642C2×C4—1661no—
1643C2×C4—1661no—
1644C2×C4—1661no—
1645C2×C4—1661no—
1646C2×C4—1661no—
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×C4C2×#1305059112yes—
1664C2×C4C2×#1305059112yes—
1665C2×C4#1458183812yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—33216no—
1673C22—3321no—
1674C22—3321no—
1675C22—3321no—
1676C22—3321no—
1677C22—3321no—
1678C22—3321no—
1679C22—3321no—
1680C22—3321no—
1681C22—3321no—
1682C22—3321no—
1683C22—3321no—
1684C22—3321no—
1685C22—3321no—
1686C22—3321no—
1687C22—3321no—
1688C22—3321no—
1689C22—3321no—
1690C22—3321no—
1691C22—3321no—
1692C22—3321no—
1693C22—3321no—
1694C22—3321no—
1695C22—3321no—
1696C22—3321no—
1697C22—3321no—
1698C22—3321no—
1699C22—3321no—
1700C22—3321no—
1701C22—3321no—
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—6648no—
1717C22—1662no—
1718C22—1662no—
1719C22—1662no—
1720C22—1662no—
1721C22—1662no—
1722C22—1662no—
1723C22#1912830714yes—
1724C22C22×#1305059111yescharacteristic
1725C22H(5,𝔽2)×D8311yescharacteristic
1726C22H(5,𝔽2)×D8311yescharacteristic
1727C22C2×#1458183811yescharacteristic
1728C22C2×#1458183811yescharacteristic
1729C22C2×#1458183811yescharacteristic
1730C22#1912853711yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—3321no—
1746C4—3321no—
1747C4—3321no—
1748C4—3321no—
1749C4—3321no—
1750C4—3321no—
1751C4—3321no—
1752C4—3321no—
1753C4—3321no—
1754C2—24no—
1755C2—3322no—
1756C2—3322no—
1757C2—6641no—
1758C2—6641no—
1759C2—6641no—
1760C2—6641no—
1761C2—6641no—
1762C2C2×#1912830711yescharacteristic
1763C2#2492115311yescharacteristic
1764C2#2492131711yescharacteristic
1765C2#2492161911yescharacteristic
1766C2#2492164011yescharacteristic
1767C2#2492165611yescharacteristic
1768C2#2492169911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2569C2
hypercenter#2569D83
hypocenterC83#36794
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2569

Complements

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

NH ≅ G/Ntype
1. #24915758C2semidirect
2. #24915746C2semidirect
3. #24915321C2semidirect
4. #24915177C2semidirect
5. #24914791C2semidirect
6. #24914746C2semidirect
7. #24914726C2semidirect
8. #24914693C2semidirect
9. #24914558C2semidirect
10. #24914195C2semidirect
11. #24914195C2semidirect
12. #24914153C2semidirect
13. #24914105C2semidirect
14. #24914049C2semidirect
15. #24913906C2semidirect
16. #24913732C2semidirect
17. #24913732C2semidirect
18. #24913706C2semidirect
19. #24913241C2semidirect
20. #24913200C2semidirect
21. #24912423C2semidirect
22. #24911100C2semidirect
23. #24910997C2semidirect
24. #24910997C2semidirect
25. #24910931C2semidirect
26. #24910931C2semidirect
27. #24910820C2semidirect
28. #24910163C2semidirect
29. #24910090C2semidirect
30. C2×#19127579C2semidirect
31. C83×#2569C2semidirect
36. C2×#14581777C22semidirect
37. C2×#14581777C22semidirect
38. C2×#14581777C22semidirect
39. C2×#14581777C22semidirect
42. C2×#14581767C22semidirect
43. C2×#14581767C22semidirect
44. C2×#14581767C22semidirect
45. C2×#14581767C22semidirect
61. #19127636C22semidirect
62. #19127636C22semidirect
63. #19127633C22semidirect
64. #19127630C22semidirect
65. #19127630C22semidirect
66. #19127630C22semidirect
67. #19127630C22semidirect
68. #19127628C22semidirect
69. #19127628C22semidirect
70. #19127628C22semidirect
71. #19127627C22semidirect
72. #19127627C22semidirect
73. #19127623C22semidirect
74. #19127623C22semidirect
77. #19127619C22semidirect
78. #19127619C22semidirect
79. #19127619C22semidirect
80. #19127619C22semidirect
81. #19127619C22semidirect
82. #19127619C22semidirect
83. #19127619C22semidirect
84. #19127618C22semidirect
85. #19127618C22semidirect
86. #19127618C22semidirect
87. #19127618C22semidirect
88. #19127618C22semidirect
89. #19127618C22semidirect
90. #19127618C22semidirect
91. #19127618C22semidirect
92. #19127618C22semidirect
93. #19127618C22semidirect
100. #19127611C22semidirect
101. #19127611C22semidirect
102. #19127611C22semidirect
103. #19127611C22semidirect
104. #19127611C22semidirect
109. #19127602C22semidirect
110. #19127602C22semidirect
111. #19127593C22semidirect
112. #19127593C22semidirect
113. #19127593C22semidirect
114. #19127593C22semidirect
115. #19127592C22semidirect
116. #19127592C22semidirect
117. #19127591C22semidirect
118. #19127591C22semidirect
119. #19127591C22semidirect
120. #19127591C22semidirect
121. #19127590C22semidirect
122. #19127590C22semidirect
123. #19127585C22semidirect
124. #19127585C22semidirect
125. #19127584C22semidirect
126. #19127584C22semidirect
137. #19127579C22semidirect
138. #19127579C22semidirect
139. #19127579C22semidirect
140. #19127579C22semidirect
141. #19127579C22semidirect
142. #19127579C22semidirect
143. #19127579C22semidirect
144. #19127579C22semidirect
145. #19127579C22semidirect
146. #19127579C22semidirect
147. #19127579C22semidirect
148. #19127579C22semidirect
149. #19127579C22semidirect
150. #19127579C22semidirect
157. #19127572C22semidirect
158. #19127572C22semidirect
159. #19127572C22semidirect
160. #19127572C22semidirect
161. #19127568C22semidirect
162. #19127565C22semidirect
163. #19127563C22semidirect
164. #19127563C22semidirect
165. #19127563C22semidirect
166. #19127560C22semidirect
167. #19127558C22semidirect
168. #19127558C22semidirect
172. #400×C83C22semidirect
173. #400×C83C22semidirect
174. #398×C83C22semidirect
175. #398×C83C22semidirect
176. #387×C83C22semidirect
177. #387×C83C22semidirect
178. #387×C83C22semidirect
179. #387×C83C22semidirect
905. #2569D83semidirect
916. C83#36794semidirect
946. #400C2×D83semidirect
947. #400C2×D83semidirect
951. #398C2×D83semidirect
952. #398C2×D83semidirect
1016. #387C2×D83semidirect
1017. #387C2×D83semidirect
1018. #387C2×D83semidirect
1019. #387C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157582
#249157462
#249153212
#249151772
#249147912
#249147462
#249147262
#249146932
#249145582
#249141952
#249141532
#249141052
#249140492
#249139062
#249137322
#249137062
#249132412
#249132002
#249124232
#249111002
#249109972
#249109312
#249108202
#249101632
#249100902
C2×#191275792
C83×#25692
#3679483