Finite Group Databasebeta

← #35611809

Subgroups — #35611809

Order 21248.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128290C211yesmaximal, characteristic, complemented
2C2×#19128261C211yesmaximal, characteristic, complemented
3#24915807C211yesmaximal, characteristic, complemented
4#24915761C211yesmaximal, characteristic, complemented
5#24914307C211yesmaximal, characteristic, complemented
6#24914306C211yesmaximal, characteristic, complemented
7#24914211C211yesmaximal, characteristic, complemented
8#24914208C211yesmaximal, characteristic, complemented
9#24914157C211yesmaximal, characteristic, complemented
10#24914156C211yesmaximal, characteristic, complemented
11#24914104C211yesmaximal, characteristic, complemented
12#24914101C211yesmaximal, characteristic, complemented
13#24913849C211yesmaximal, characteristic, complemented
14#24913795C211yesmaximal, characteristic, complemented
15#24913792C211yesmaximal, characteristic, complemented
16#24913689C211yesmaximal, characteristic, complemented
17#24913686C211yesmaximal, characteristic, complemented
18#24913679C211yesmaximal, characteristic, complemented
19#24913677C211yesmaximal, characteristic, complemented
20#24913566C211yesmaximal, characteristic, complemented
21#24913394C211yesmaximal, characteristic, complemented
22#24912428C211yesmaximal, characteristic, complemented
23#24912426C211yesmaximal, characteristic, complemented
24#24910906C211yesmaximal, characteristic, complemented
25#24910898C211yesmaximal, characteristic, complemented
26#24910839C211yesmaximal, characteristic, complemented
27#24910839C211yesmaximal, characteristic, complemented
28#24910832C211yesmaximal, characteristic, complemented
29#24910832C211yesmaximal, characteristic, complemented
30#388×D83C211yesmaximal, characteristic, complemented
31C83×#2685C211yesmaximal, characteristic, complemented
32C23×C22⋊D83C2211yescharacteristic
33C22×D4×D83C2211yescharacteristic
34#19128290—28no—
35#19128261—28no—
36C2×#14581788C2211yescharacteristic, complemented
37C2×#14581787C2211yescharacteristic, complemented
38C2×#14581780C2211yescharacteristic, complemented
39C2×#14581778C2211yescharacteristic, complemented
40C2×#14581778C2211yescharacteristic, complemented
41C2×#14581777C2211yescharacteristic, complemented
42C2×#14581776C2211yescharacteristic
43C2×#14581774C2211yescharacteristic
44C2×#14581774C2211yescharacteristic
45C2×#14581774C2211yescharacteristic, complemented
46C2×#14581773C2211yescharacteristic
47C2×#14581770C2211yescharacteristic, complemented
48C2×#14581767C2211yescharacteristic, complemented
49C2×#14581767C2211yescharacteristic, complemented
50C2×#14581767C2211yescharacteristic, complemented
51C2×#14581767C2211yescharacteristic, complemented
52C2×#14581765C2211yescharacteristic
53C2×#14581765C2211yescharacteristic
54C2×#14581765C2211yescharacteristic, complemented
55C2×#14581765C2211yescharacteristic, complemented
56C2×#14581765C2211yescharacteristic, complemented
57C2×#14581765C2211yescharacteristic, complemented
58C2×#14581765C2211yescharacteristic, complemented
59C2×#14581765C2211yescharacteristic, complemented
60C2×#14581765C2211yescharacteristic, complemented
61C2×#14581765C2211yescharacteristic, complemented
62C2×#14581763C2211yescharacteristic
63C2×#14581763C2211yescharacteristic
64C2×#14581763C2211yescharacteristic, complemented
65C2×#14581762C2211yescharacteristic
66C2×#14581762C2211yescharacteristic
67C2×#14581762C2211yescharacteristic, complemented
68C2×#14581762C2211yescharacteristic, complemented
69C2×#14581761C2211yescharacteristic
70C2×#14581761C2211yescharacteristic, complemented
71C2×#14581761C2211yescharacteristic, complemented
72C2×#14581760C2211yescharacteristic
73C2×#14581760C2211yescharacteristic
74C2×C4×D332C2211yescharacteristic, complemented
75C2×#14581754C2211yescharacteristic, complemented
76C2×C4⋊C4×D83C2211yescharacteristic, complemented
77C2×C22⋊C4×D83C2211yescharacteristic
78C2×C22⋊C4×D83C2211yescharacteristic
79C2×C22⋊C4×D83C2211yescharacteristic
80C2×C42×D83C2211yescharacteristic, complemented
81#19127641C2211yescharacteristic, complemented
82#19127640C2211yescharacteristic, complemented
83#19127636C2211yescharacteristic, complemented
84#19127636C2211yescharacteristic, complemented
85#19127636C2211yescharacteristic, complemented
86#19127634C2211yescharacteristic, complemented
87#19127631C2211yescharacteristic, complemented
88#19127630C2211yescharacteristic, complemented
89#19127629C2211yescharacteristic, complemented
90#19127629C2211yescharacteristic, complemented
91#19127628C2211yescharacteristic, complemented
92#19127624C2211yescharacteristic, complemented
93#19127624C2211yescharacteristic, complemented
94#19127623C2211yescharacteristic, complemented
95#19127618C2211yescharacteristic, complemented
96#19127617C2211yescharacteristic, complemented
97#19127617C2211yescharacteristic, complemented
98#19127616C2211yescharacteristic
99#19127616C2211yescharacteristic
100#19127616C2211yescharacteristic
101#19127616C2211yescharacteristic
102#19127616C2211yescharacteristic
103#19127616C2211yescharacteristic
104#19127616C2211yescharacteristic, complemented
105#19127616C2211yescharacteristic, complemented
106#19127615C2211yescharacteristic, complemented
107#19127613C2211yescharacteristic, complemented
108#19127613C2211yescharacteristic, complemented
109#19127611C2211yescharacteristic, complemented
110#19127610C2211yescharacteristic
111#19127610C2211yescharacteristic
112#19127610C2211yescharacteristic
113#19127610C2211yescharacteristic
114#19127610C2211yescharacteristic
115#19127610C2211yescharacteristic
116#19127610C2211yescharacteristic, complemented
117#19127610C2211yescharacteristic, complemented
118#19127610C2211yescharacteristic, complemented
119#19127610C2211yescharacteristic, complemented
120#19127609C2211yescharacteristic
121#19127609C2211yescharacteristic
122#19127609C2211yescharacteristic, complemented
123#19127605C2211yescharacteristic, complemented
124#19127603C2211yescharacteristic, complemented
125#19127601C2211yescharacteristic, complemented
126#19127601C2211yescharacteristic, complemented
127#19127601C2211yescharacteristic, complemented
128#19127601C2211yescharacteristic, complemented
129#19127601C2211yescharacteristic, complemented
130#19127601C2211yescharacteristic, complemented
131#19127599C2211yescharacteristic, complemented
132#19127596C2211yescharacteristic, complemented
133#19127595C2211yescharacteristic, complemented
134#19127595C2211yescharacteristic, complemented
135#19127595C2211yescharacteristic, complemented
136#19127595C2211yescharacteristic, complemented
137#19127594C2211yescharacteristic, complemented
138#19127593C2211yescharacteristic, complemented
139#19127592C2211yescharacteristic, complemented
140#19127592C2211yescharacteristic, complemented
141#19127592C2211yescharacteristic, complemented
142#19127591C2211yescharacteristic, complemented
143#19127591C2211yescharacteristic, complemented
144#19127590C2211yescharacteristic, complemented
145#19127589C2211yescharacteristic, complemented
146#19127579C2211yescharacteristic, complemented
147#19127579C2211yescharacteristic, complemented
148#19127579C2211yescharacteristic, complemented
149#19127579C2211yescharacteristic, complemented
150#19127579C2211yescharacteristic, complemented
151#19127578C2211yescharacteristic, complemented
152#19127578C2211yescharacteristic, complemented
153#19127577C2211yescharacteristic, complemented
154#19127577C2211yescharacteristic, complemented
155#19127577C2211yescharacteristic, complemented
156#19127577C2211yescharacteristic, complemented
157#19127577C2211yescharacteristic, complemented
158#19127577C2211yescharacteristic, complemented
159#19127577C2211yescharacteristic, complemented
160#19127577C2211yescharacteristic, complemented
161#19127577C2211yescharacteristic, complemented
162#19127573C2211yescharacteristic, complemented
163#19127573C2211yescharacteristic, complemented
164#19127572C2211yescharacteristic, complemented
165#19127572C2211yescharacteristic, complemented
166#19127570C2211yescharacteristic, complemented
167#19127565C2211yescharacteristic, complemented
168#19127560C2211yescharacteristic, complemented
169#19127558C2211yescharacteristic, complemented
170#19127556C2211yescharacteristic, complemented
171#19127556C2211yescharacteristic, complemented
172#95×D83C2211yescharacteristic, complemented
173#95×D83C2211yescharacteristic, complemented
174C2×#126×C83C2211yescharacteristic, complemented
175C2×#120×C83C2211yescharacteristic
176#399×C83C2211yescharacteristic, complemented
177#396×C83C2211yescharacteristic, complemented
178#394×C83C2211yescharacteristic
179#394×C83C2211yescharacteristic
180#394×C83C2211yescharacteristic, complemented
181#394×C83C2211yescharacteristic, complemented
182#390×C83C2211yescharacteristic, complemented
183#390×C83C2211yescharacteristic, complemented
184#388×C83C2211yescharacteristic, complemented
185#388×C83C2211yescharacteristic, complemented
186#388×C83C2211yescharacteristic, complemented
187#379×C83C2211yescharacteristic, complemented
188#379×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C22×Dic166C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×D332C2311yescharacteristic
200C22×C22⋊D83—24no—
201C22×C22⋊D83—42no—
202C22×C22⋊D83—42no—
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C22×C22⋊D83C2311yescharacteristic
207C22×C22⋊D83C2311yescharacteristic
208C22×C22⋊D83C2311yescharacteristic
209C22×C22⋊D83C2311yescharacteristic
210C22×C22⋊D83C2311yescharacteristic
211C22×C22⋊D83C2311yescharacteristic
212C22×C22⋊D83C2311yescharacteristic
213C22×C22⋊D83C2311yescharacteristic
214C22×C22⋊D83C2311yescharacteristic
215C22×C22⋊D83C2311yescharacteristic
216C22×C22⋊D83C2311yescharacteristic
217C22×C22⋊D83C2311yescharacteristic
218C22×C22⋊D83C2311yescharacteristic
219C2×D4×D83—24no—
220C2×D4×D83—42no—
221C2×D4×D83—42no—
222C23×Dic83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224C22×C4×D83C2311yescharacteristic
225C22×C4×D83C2311yescharacteristic
226C22×C4×D83C2311yescharacteristic
227C22×C4×D83C2311yescharacteristic
228C22×C4×D83C2311yescharacteristic
229C22×C4×D83C2311yescharacteristic
230C22×C4×D83C2311yescharacteristic
231C22×C4×D83C2311yescharacteristic
232#14581788—42no—
233#14581787—24no—
234#14581780—24no—
235#14581778—24no—
236#14581778—42no—
237#14581777—24no—
238#14581776—24no—
239#14581774—24no—
240#14581774—24no—
241#14581774—24no—
242#14581773—24no—
243#14581770—24no—
244#14581767—24no—
245#14581767—24no—
246#14581767—42no—
247#14581767—42no—
248#14581765—24no—
249#14581765—24no—
250#14581765—24no—
251#14581765—42no—
252#14581765—42no—
253#14581765—42no—
254#14581765—42no—
255#14581765—42no—
256#14581765—42no—
257#14581765—42no—
258#14581763—24no—
259#14581763—24no—
260#14581763—42no—
261#14581762—24no—
262#14581762—24no—
263#14581762—42no—
264#14581762—42no—
265#14581761—24no—
266#14581761—42no—
267#14581761—42no—
268#14581760—24no—
269#14581760—24no—
270C4×D332—24no—
271#14581754—24no—
272C2×C4⋊Dic83C2311yescharacteristic
273C2×C4⋊Dic83C2311yescharacteristic
274C2×C4⋊Dic83C2311yescharacteristic
275C2×C4⋊Dic83C2311yescharacteristic
276C2×Dic83⋊C4C2311yescharacteristic
277C2×Dic83⋊C4C2311yescharacteristic
278C2×Dic83⋊C4C2311yescharacteristic
279C2×Dic83⋊C4C2311yescharacteristic
280C2×Dic83⋊C4C2311yescharacteristic
281C2×Dic83⋊C4C2311yescharacteristic
282C2×Dic83⋊C4C2311yescharacteristic
283C2×Dic83⋊C4C2311yescharacteristic
284C2×Dic83⋊C4C2311yescharacteristic
285C2×Dic83⋊C4C2311yescharacteristic
286C2×Dic83⋊C4C2311yescharacteristic
287C2×Dic83⋊C4C2311yescharacteristic
288C4⋊C4×D83—42no—
289C2×C22⋊Dic83C2311yescharacteristic
290C2×C22⋊Dic83C2311yescharacteristic
291C2×C22⋊Dic83C2311yescharacteristic
292C2×C22⋊Dic83C2311yescharacteristic
293C2×C22⋊Dic83C2311yescharacteristic
294C2×C22⋊Dic83C2311yescharacteristic
295C2×C22⋊Dic83C2311yescharacteristic
296C2×C22⋊Dic83C2311yescharacteristic
297C2×C22⋊Dic83C2311yescharacteristic
298C2×C22⋊Dic83C2311yescharacteristic
299C2×C22⋊Dic83C2311yescharacteristic
300C2×C22⋊Dic83C2311yescharacteristic
301C2×C22⋊Dic83C2311yescharacteristic
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×(C2×D83)⋊C4C2311yescharacteristic
318C2×(C2×D83)⋊C4C2311yescharacteristic
319C2×(C2×D83)⋊C4C2311yescharacteristic
320C2×(C2×D83)⋊C4C2311yescharacteristic
321C2×(C2×D83)⋊C4C2311yescharacteristic
322C2×(C2×D83)⋊C4C2311yescharacteristic
323C2×(C2×D83)⋊C4C2311yescharacteristic
324C2×(C2×D83)⋊C4C2311yescharacteristic
325C2×(C2×D83)⋊C4C2311yescharacteristic
326C2×(C2×D83)⋊C4C2311yescharacteristic
327C2×(C2×D83)⋊C4C2311yescharacteristic
328C2×(C2×D83)⋊C4C2311yescharacteristic
329C2×(C2×D83)⋊C4C2311yescharacteristic
330C2×(C2×D83)⋊C4C2311yescharacteristic
331C2×(C2×D83)⋊C4C2311yescharacteristic
332C22⋊C4×D83—42no—
333C22⋊C4×D83—42no—
334C22⋊C4×D83D418yescomplemented
335C2×C4×Dic83C2311yescharacteristic
336C2×C4×Dic83C2311yescharacteristic
337C2×C4×Dic83C2311yescharacteristic
338C2×C4×Dic83C2311yescharacteristic
339C42×D83—42no—
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C83⋊#95C2311yescharacteristic
349C83⋊#95C2311yescharacteristic
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C83⋊#95C2311yescharacteristic
353C83⋊#95C2311yescharacteristic
354C83⋊#95C2311yescharacteristic
355C83⋊#95C2311yescharacteristic
356C83⋊#95C2311yescharacteristic
357C83⋊#95C2311yescharacteristic
358C83⋊#95C2311yescharacteristic
359C83⋊#95C2311yescharacteristic
360C25×C83C2311yescharacteristic
361C22×D4×C83C2311yescharacteristic
362C22×D4×C83C2311yescharacteristic
363C22×D4×C83C2311yescharacteristic
364#126×C83—24no—
365#120×C83—24no—
366C2×C4⋊C4×C83C2311yescharacteristic
367C2×C4⋊C4×C83C2311yescharacteristic
368C2×C4⋊C4×C83C2311yescharacteristic
369C2×C4⋊C4×C83C2311yescharacteristic
370C2×C4⋊C4×C83C2311yescharacteristic
371C2×C4⋊C4×C83C2311yescharacteristic
372C2×C22⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C22⋊C4×C83C2311yescharacteristic
376C2×C22⋊C4×C83C2311yescharacteristic
377C2×C22⋊C4×C83C2311yescharacteristic
378C2×C22⋊C4×C83C2311yescharacteristic
379C2×C22⋊C4×C83C2311yescharacteristic
380C2×C22⋊C4×C83C2311yescharacteristic
381C2×C22⋊C4×C83C2311yescharacteristic
382C2×C22⋊C4×C83C2311yescharacteristic
383C2×C22⋊C4×C83C2311yescharacteristic
384C2×C22⋊C4×C83C2311yescharacteristic
385C2×C22⋊C4×C83C2311yescharacteristic
386C2×C22⋊C4×C83C2311yescharacteristic
387C2×C22⋊C4×C83C2311yescharacteristic
388C2×C22⋊C4×C83C2311yescharacteristic
389C2×C22⋊C4×C83C2311yescharacteristic
390C2×C22⋊C4×C83C2311yescharacteristic
391C2×C42×C83C2311yescharacteristic
392C2×C42×C83C2311yescharacteristic
393#95×C83C2311yescharacteristic
394#95×C83C2311yescharacteristic
395#95×C83C2311yescharacteristic
396#95×C83C2311yescharacteristic
397C23×D83—22no—
398C23×D83—22no—
399C23×D83—22no—
400C23×D83—41no—
401C23×D83—41no—
402C23×D83—41no—
403C23×D83—41no—
404C23×D83—41no—
405C23×D83—41no—
406C23×D83—41no—
407C23×D83—41no—
408C23×D83—41no—
409C23×D83—41no—
410C23×D83C2×D414yes—
411C23×D83C2411yescharacteristic
412C23×D83C2411yescharacteristic
413C23×D83C2411yescharacteristic
414C23×D83C2411yescharacteristic
415C23×D83C2411yescharacteristic
416C2×Dic166—22no—
417C2×Dic166—41no—
418C2×Dic166—41no—
419C2×D332—22no—
420C2×D332—22no—
421C2×D332—22no—
422C2×D332—22no—
423C2×D332—22no—
424C2×D332—22no—
425C2×D332—22no—
426C2×D332—22no—
427C2×D332—22no—
428C2×D332—22no—
429C2×D332—22no—
430C2×D332—22no—
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×C22⋊D83—22no—
444C2×C22⋊D83—22no—
445C2×C22⋊D83—22no—
446C2×C22⋊D83—22no—
447C2×C22⋊D83—22no—
448C2×C22⋊D83—22no—
449C2×C22⋊D83—22no—
450C2×C22⋊D83—22no—
451C2×C22⋊D83—22no—
452C2×C22⋊D83—22no—
453C2×C22⋊D83—22no—
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—
463C2×C22⋊D83—41no—
464C2×C22⋊D83—41no—
465C2×C22⋊D83—41no—
466C2×C22⋊D83—41no—
467C2×C22⋊D83—41no—
468C2×C22⋊D83—41no—
469C2×C22⋊D83—41no—
470C2×C22⋊D83—41no—
471C2×C22⋊D83—41no—
472C2×C22⋊D83—41no—
473C2×C22⋊D83—41no—
474C2×C22⋊D83—41no—
475C2×C22⋊D83—41no—
476C2×C22⋊D83—41no—
477C2×C22⋊D83—41no—
478C2×C22⋊D83—41no—
479C2×C22⋊D83—41no—
480C2×C22⋊D83—41no—
481C2×C22⋊D83—41no—
482C2×C22⋊D83—41no—
483C2×C22⋊D83—41no—
484C2×C22⋊D83—41no—
485C2×C22⋊D83—41no—
486C2×C22⋊D83—41no—
487C2×C22⋊D83—41no—
488C2×C22⋊D83—41no—
489C2×C22⋊D83—41no—
490C2×C22⋊D83—41no—
491C2×C22⋊D83—416no—
492D4×D83—416no—
493C22×Dic83—22no—
494C22×Dic83—41no—
495C22×Dic83—41no—
496C22×Dic83C2411yescharacteristic
497C22×Dic83C2411yescharacteristic
498C22×Dic83C2411yescharacteristic
499C22×Dic83C2411yescharacteristic
500C22×Dic83C2411yescharacteristic
501C22×Dic83C2411yescharacteristic
502C22×Dic83C2411yescharacteristic
503C22×Dic83C2411yescharacteristic
504C22×Dic83C2411yescharacteristic
505C22×Dic83C2411yescharacteristic
506C22×Dic83C2411yescharacteristic
507C2×C4×D83—22no—
508C2×C4×D83—22no—
509C2×C4×D83—22no—
510C2×C4×D83—22no—
511C2×C4×D83—22no—
512C2×C4×D83—22no—
513C2×C4×D83—22no—
514C2×C4×D83—22no—
515C2×C4×D83—22no—
516C2×C4×D83—41no—
517C2×C4×D83—41no—
518C2×C4×D83—41no—
519C2×C4×D83—41no—
520C2×C4×D83—41no—
521C2×C4×D83—41no—
522C2×C4×D83—41no—
523C2×C4×D83—41no—
524C2×C4×D83—41no—
525C2×C4×D83—41no—
526C2×C4×D83—41no—
527C2×C4×D83—41no—
528C2×C4×D83—41no—
529C2×C4×D83—41no—
530C2×C4×D83—41no—
531C2×C4×D83—41no—
532C2×C4×D83C2×D414yes—
533C2×C4×D83C2×D414yes—
534C4⋊Dic83—22no—
535C4⋊Dic83—22no—
536C4⋊Dic83—22no—
537C4⋊Dic83—22no—
538Dic83⋊C4—22no—
539Dic83⋊C4—22no—
540Dic83⋊C4—22no—
541Dic83⋊C4—22no—
542Dic83⋊C4—22no—
543Dic83⋊C4—41no—
544Dic83⋊C4—41no—
545Dic83⋊C4—41no—
546Dic83⋊C4—41no—
547Dic83⋊C4—41no—
548Dic83⋊C4—41no—
549Dic83⋊C4—41no—
550C22⋊Dic83—22no—
551C22⋊Dic83—22no—
552C22⋊Dic83—22no—
553C22⋊Dic83—22no—
554C22⋊Dic83—22no—
555C22⋊Dic83—22no—
556C22⋊Dic83—22no—
557C22⋊Dic83—22no—
558C22⋊Dic83—41no—
559C22⋊Dic83—41no—
560C22⋊Dic83—41no—
561C22⋊Dic83—41no—
562C22⋊Dic83C2×D414yes—
563(C2×D83)⋊C4—22no—
564(C2×D83)⋊C4—22no—
565(C2×D83)⋊C4—22no—
566(C2×D83)⋊C4—22no—
567(C2×D83)⋊C4—22no—
568(C2×D83)⋊C4—22no—
569(C2×D83)⋊C4—22no—
570(C2×D83)⋊C4—22no—
571(C2×D83)⋊C4—22no—
572(C2×D83)⋊C4—22no—
573(C2×D83)⋊C4—22no—
574(C2×D83)⋊C4—22no—
575(C2×D83)⋊C4—22no—
576(C2×D83)⋊C4—22no—
577(C2×D83)⋊C4—41no—
578(C2×D83)⋊C4—41no—
579(C2×D83)⋊C4—41no—
580(C2×D83)⋊C4—41no—
581(C2×D83)⋊C4—41no—
582(C2×D83)⋊C4—41no—
583(C2×D83)⋊C4—41no—
584(C2×D83)⋊C4—41no—
585(C2×D83)⋊C4—41no—
586(C2×D83)⋊C4—41no—
587(C2×D83)⋊C4—41no—
588(C2×D83)⋊C4—41no—
589(C2×D83)⋊C4—41no—
590(C2×D83)⋊C4—41no—
591(C2×D83)⋊C4C2×D414yes—
592(C2×D83)⋊C4C2×D414yes—
593C4×Dic83—22no—
594C4×Dic83—22no—
595C4×Dic83—22no—
596C4×Dic83—41no—
597C24×C83—22no—
598C24×C83—41no—
599C24×C83—41no—
600C24×C83—41no—
601C24×C83—41no—
602C24×C83—41no—
603C24×C83—41no—
604C24×C83C2411yescharacteristic
605C24×C83C2411yescharacteristic
606C24×C83C2411yescharacteristic
607C24×C83C2411yescharacteristic
608C2×D4×C83—22no—
609C2×D4×C83—22no—
610C2×D4×C83—22no—
611C2×D4×C83—41no—
612C2×D4×C83—41no—
613C2×D4×C83—41no—
614C2×D4×C83—41no—
615C2×D4×C83—41no—
616C2×D4×C83—41no—
617C22×C4×C83C2411yescharacteristic
618C22×C4×C83C2411yescharacteristic
619C22×C4×C83C2411yescharacteristic
620C22×C4×C83C2411yescharacteristic
621C22×C4×C83C2411yescharacteristic
622C22×C4×C83C2411yescharacteristic
623C22×C4×C83C2411yescharacteristic
624C22×C4×C83C2411yescharacteristic
625C22×C4×C83C2411yescharacteristic
626C22×C4×C83C2411yescharacteristic
627C22×C4×C83C2411yescharacteristic
628C4⋊C4×C83—22no—
629C4⋊C4×C83—22no—
630C4⋊C4×C83—22no—
631C4⋊C4×C83—41no—
632C4⋊C4×C83—41no—
633C4⋊C4×C83—41no—
634C22⋊C4×C83—22no—
635C22⋊C4×C83—22no—
636C22⋊C4×C83—22no—
637C22⋊C4×C83—22no—
638C22⋊C4×C83—41no—
639C22⋊C4×C83—41no—
640C22⋊C4×C83—41no—
641C22⋊C4×C83—41no—
642C22⋊C4×C83—41no—
643C22⋊C4×C83—41no—
644C22⋊C4×C83—41no—
645C22⋊C4×C83—41no—
646C22⋊C4×C83—41no—
647C22⋊C4×C83—41no—
648C22⋊C4×C83—41no—
649C22⋊C4×C83—41no—
650C22⋊C4×C83—41no—
651C22⋊C4×C83—41no—
652C22⋊C4×C83C2×D414yes—
653C42×C83—22no—
654C42×C83—41no—
655C23×C83—21no—
656C23×C83—21no—
657C23×C83—21no—
658C23×C83—21no—
659C23×C83—21no—
660C23×C83—21no—
661C23×C83—21no—
662C23×C83—21no—
663C23×C83—21no—
664C23×C83—21no—
665C23×C83—21no—
666C23×C83—21no—
667C23×C83—21no—
668C23×C83—21no—
669C23×C83—21no—
670C23×C83—21no—
671C23×C83—21no—
672C23×C83—21no—
673C23×C83—21no—
674C23×C83—21no—
675C23×C83—21no—
676C23×C83—21no—
677C23×C83—21no—
678C23×C83—21no—
679C23×C83—21no—
680C23×C83—21no—
681C23×C83—21no—
682C23×C83—44no—
683C23×C83—82no—
684C23×C83—82no—
685C23×C83—82no—
686C23×C83—82no—
687C23×C83—82no—
688C23×C83—82no—
689C23×C83C22×D412yes—
690C23×C83C2511yescharacteristic
691C22×D83—21no—
692C22×D83—21no—
693C22×D83—21no—
694C22×D83—21no—
695C22×D83—21no—
696C22×D83—21no—
697C22×D83—21no—
698C22×D83—21no—
699C22×D83—21no—
700C22×D83—21no—
701C22×D83—28no—
702C22×D83—21no—
703C22×D83—21no—
704C22×D83—21no—
705C22×D83—21no—
706C22×D83—21no—
707C22×D83—21no—
708C22×D83—21no—
709C22×D83—21no—
710C22×D83—21no—
711C22×D83—21no—
712C22×D83—21no—
713C22×D83—21no—
714C22×D83—21no—
715C22×D83—21no—
716C22×D83—21no—
717C22×D83—21no—
718C22×D83—21no—
719C22×D83—21no—
720C22×D83—21no—
721C22×D83—21no—
722C22×D83—21no—
723C22×D83—44no—
724C22×D83—44no—
725C22×D83—44no—
726C22×D83—82no—
727C22×D83—82no—
728C22×D83—82no—
729C22×D83—82no—
730C22×D83—82no—
731C22×D83—82no—
732C22×D83—82no—
733C22×D83—82no—
734C22×D83—82no—
735C22×D83—82no—
736C22×D83C22×D412yes—
737C22×D83C22×D412yes—
738C22×D83H(5,𝔽2)12yes—
739C22×D83H(5,𝔽2)12yes—
740D4×C83—44no—
741D4×C83—82no—
742D4×C83—82no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—21no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—21no—
752C2×C4×C83—21no—
753C2×C4×C83—21no—
754C2×C4×C83—21no—
755C2×C4×C83—21no—
756C2×C4×C83—21no—
757C2×C4×C83—21no—
758C2×C4×C83—21no—
759C2×C4×C83—21no—
760C2×C4×C83—21no—
761C2×C4×C83—21no—
762C2×C4×C83—21no—
763C2×C4×C83—21no—
764C2×C4×C83—21no—
765C2×C4×C83—21no—
766C2×C4×C83—21no—
767C2×C4×C83—21no—
768C2×C4×C83—21no—
769C2×C4×C83—21no—
770C2×C4×C83—21no—
771C2×C4×C83—21no—
772C2×C4×C83—21no—
773C2×C4×C83—21no—
774C2×C4×C83C22×D412yes—
775C2×C4×C83C22×D412yes—
776C22⋊D83—44no—
777C22⋊D83—44no—
778C22⋊D83—44no—
779C22⋊D83—44no—
780C22⋊D83—44no—
781C22⋊D83—44no—
782C22⋊D83—82no—
783C22⋊D83—82no—
784C22⋊D83—82no—
785C22⋊D83—82no—
786C22⋊D83—82no—
787C22⋊D83—82no—
788C22⋊D83—82no—
789C22⋊D83—82no—
790C22⋊D83—82no—
791C22⋊D83—82no—
792C2×Dic83—21no—
793C2×Dic83—21no—
794C2×Dic83—21no—
795C2×Dic83—21no—
796C2×Dic83—21no—
797C2×Dic83—21no—
798C2×Dic83—21no—
799C2×Dic83—21no—
800C2×Dic83—21no—
801C2×Dic83—21no—
802C2×Dic83—21no—
803C2×Dic83—21no—
804C2×Dic83—21no—
805C2×Dic83—21no—
806C2×Dic83—21no—
807C2×Dic83—21no—
808C2×Dic83—21no—
809C2×Dic83—21no—
810C2×Dic83—21no—
811C2×Dic83—21no—
812C2×Dic83—21no—
813C2×Dic83—21no—
814C2×Dic83—21no—
815C2×Dic83—21no—
816C2×Dic83—21no—
817C2×Dic83—21no—
818C2×Dic83—21no—
819C2×Dic83—21no—
820C2×Dic83—21no—
821C2×Dic83—44no—
822C2×Dic83C22×D412yes—
823C2×Dic83C22×D412yes—
824C2×Dic83H(5,𝔽2)12yes—
825C2×Dic83H(5,𝔽2)12yes—
826D332—44no—
827D332—44no—
828D332—44no—
829D332—82no—
830D332—82no—
831D332—82no—
832D332—82no—
833D332—82no—
834C4×D83—44no—
835C4×D83—44no—
836C4×D83—44no—
837C4×D83—44no—
838C4×D83—44no—
839C4×D83—82no—
840C4×D83—82no—
841C4×D83—82no—
842C4×D83—82no—
843Dic166—82no—
844C22×C83—22no—
845C22×C83—22no—
846C22×C83—22no—
847C22×C83—41no—
848C22×C83—41no—
849C22×C83—41no—
850C22×C83—41no—
851C22×C83—41no—
852C22×C83—41no—
853C22×C83—41no—
854C22×C83—41no—
855C22×C83—41no—
856C22×C83—41no—
857C22×C83—41no—
858C22×C83—41no—
859C22×C83—41no—
860C22×C83—41no—
861C22×C83—41no—
862C22×C83—41no—
863C22×C83—41no—
864C22×C83—41no—
865C22×C83—41no—
866C22×C83—41no—
867C22×C83—41no—
868C22×C83—41no—
869C22×C83—41no—
870C22×C83—41no—
871C22×C83—41no—
872C22×C83—88no—
873C22×C83C23×D411yescharacteristic
874C22×C83C2×H(5,𝔽2)11yescharacteristic
875C22×C83C2×H(5,𝔽2)11yescharacteristic
876C22×C83C2×H(5,𝔽2)11yescharacteristic
877C22×C83C2×H(5,𝔽2)11yescharacteristic
878C22×C83#58511yescharacteristic
879C22×C83#58511yescharacteristic
880C2×D83—22no—
881C2×D83—22no—
882C2×D83—22no—
883C2×D83—22no—
884C2×D83—22no—
885C2×D83—22no—
886C2×D83—22no—
887C2×D83—22no—
888C2×D83—22no—
889C2×D83—41no—
890C2×D83—41no—
891C2×D83—41no—
892C2×D83—41no—
893C2×D83—41no—
894C2×D83—41no—
895C2×D83—41no—
896C2×D83—41no—
897C2×D83—41no—
898C2×D83—41no—
899C2×D83—41no—
900C2×D83—41no—
901C2×D83—41no—
902C2×D83—41no—
903C2×D83—41no—
904C2×D83—41no—
905C2×D83—41no—
906C2×D83—41no—
907C2×D83—41no—
908C2×D83—41no—
909C2×D83—41no—
910C2×D83—41no—
911C2×D83—41no—
912C2×D83—41no—
913C2×D83—41no—
914C2×D83—88no—
915C2×D83—88no—
916C2×D83#53514yes—
917C4×C83—22no—
918C4×C83—22no—
919C4×C83—41no—
920C4×C83—41no—
921C4×C83—41no—
922C4×C83—41no—
923C4×C83—41no—
924C4×C83—41no—
925C4×C83—41no—
926C4×C83—41no—
927C4×C83—41no—
928Dic83—22no—
929Dic83—22no—
930Dic83—22no—
931Dic83—22no—
932Dic83—41no—
933Dic83—41no—
934Dic83—41no—
935Dic83—41no—
936Dic83—41no—
937Dic83—41no—
938Dic83—41no—
939#36739—831nomaximal, Sylow
940C2×C83—42no—
941C2×C83—81no—
942C2×C83—81no—
943C2×C83—81no—
944C2×C83C2×#53511yescharacteristic
945C2×C83#349611yescharacteristic
946C2×C83#349611yescharacteristic
947C2×C83#353411yescharacteristic
948C2×C83#353711yescharacteristic
949C2×C83#355811yescharacteristic
950C2×C83#356011yescharacteristic
951D83—24no—
952D83—42no—
953D83—81no—
954D83—81no—
955D83—81no—
956C2×#538—831no—
957C2×#534—831no—
958#2856—831no—
959#2850—831no—
960#2718—831no—
961#2718—831no—
962#2710—831no—
963#2710—831no—
964#2706—831no—
965#2706—831no—
966#2703—831no—
967#2703—831no—
968#2685—831no—
969#2685D8311yescharacteristic, complemented
970#2678—831no—
971#2678—831no—
972#2670—831no—
973#2670—831no—
974#2669—831no—
975#2669—831no—
976#2656—831no—
977#2639—831no—
978#2543—831no—
979#2543—831no—
980#2416—831no—
981#2416—831no—
982#2410—831no—
983#2410—831no—
984#2410—831no—
985#2410—831no—
986C2×#388—831no—
987C83#3673911yescharacteristic, complemented, Sylow
988C23×D4—831no—
989C23×D4—831no—
990#538—1668no—
991#534—1668no—
992C2×#127—831no—
993C2×#126—831no—
994C2×#126C2×D8311yescharacteristic, complemented
995C2×#124—831no—
996C2×#124—831no—
997C2×#124—831no—
998C2×#123—831no—
999C2×#123—831no—
1000C2×#123—831no—
1001C2×#123—831no—
1002C2×#123—831no—
1003C2×#123—831no—
1004C2×C22⋊Q8—831no—
1005C2×#121—831no—
1006C2×#121—831no—
1007C2×#121—831no—
1008C2×#121—831no—
1009C2×#121—831no—
1010C2×#121—831no—
1011C2×#121—831no—
1012C2×#121—831no—
1013C2×#121—831no—
1014C2×#121—831no—
1015C2×#121—831no—
1016C2×#121—831no—
1017C2×#121—831no—
1018C2×#121—831no—
1019C2×#121—831no—
1020C2×#121—831no—
1021C2×#121—831no—
1022C2×#120—831no—
1023C2×#120—831no—
1024C2×#120—831no—
1025C2×#120—831no—
1026C2×#120—831no—
1027C2×#120—831no—
1028C2×#120—831no—
1029C2×#120—831no—
1030C2×#120—831no—
1031C2×#120C2×D8311yescharacteristic
1032C2×C4×D4—831no—
1033C2×C4×D4—831no—
1034C22×C4⋊C4—831no—
1035C22×C22⋊C4—831no—
1036C22×C22⋊C4—831no—
1037C22×C22⋊C4—831no—
1038C22×C42—831no—
1039#400—831no—
1040#400—831no—
1041#399—831no—
1042#399—831no—
1043#399—831no—
1044#399C2×D8311yescharacteristic, complemented
1045#398—831no—
1046#398—831no—
1047#397—831no—
1048#397—831no—
1049#397—831no—
1050#397—831no—
1051#396—831no—
1052#396—831no—
1053#396—831no—
1054#396C2×D8311yescharacteristic, complemented
1055#394—831no—
1056#394—831no—
1057#394—831no—
1058#394—831no—
1059#394—831no—
1060#394—831no—
1061#394—831no—
1062#394—831no—
1063#394—831no—
1064#394—831no—
1065#394—831no—
1066#394—831no—
1067#394C2×D8311yescharacteristic
1068#394C2×D8311yescharacteristic
1069#394C2×D8311yescharacteristic, complemented
1070#394C2×D8311yescharacteristic, complemented
1071#393—831no—
1072#393—831no—
1073#392—831no—
1074#392—831no—
1075#392—831no—
1076#392—831no—
1077#392—831no—
1078#392—831no—
1079#392—831no—
1080#392—831no—
1081#392—831no—
1082#392—831no—
1083#392—831no—
1084#392—831no—
1085#392—831no—
1086#392—831no—
1087#391—831no—
1088#390—831no—
1089#390—831no—
1090#390—831no—
1091#390—831no—
1092#390—831no—
1093#390—831no—
1094#390—831no—
1095#390C2×D8311yescharacteristic, complemented
1096#390C2×D8311yescharacteristic, complemented
1097#389—831no—
1098#389—831no—
1099#388—831no—
1100#388—831no—
1101#388—831no—
1102#388—831no—
1103#388—831no—
1104#388—831no—
1105#388—831no—
1106#388—831no—
1107#388—831no—
1108#388—831no—
1109#388—831no—
1110#388—831no—
1111#388—831no—
1112#388C2×D8311yescharacteristic, complemented
1113#388C2×D8311yescharacteristic, complemented
1114#388C2×D8311yescharacteristic, complemented
1115#386—831no—
1116#386—831no—
1117#386—831no—
1118#386—831no—
1119#386—831no—
1120#386—831no—
1121#386—831no—
1122#386—831no—
1123#386—831no—
1124#386—831no—
1125#386—831no—
1126#386—831no—
1127#386—831no—
1128#386—831no—
1129#386—831no—
1130#386—831no—
1131#385—831no—
1132#385—831no—
1133#385—831no—
1134#385—831no—
1135#384—831no—
1136#382—831no—
1137#380—831no—
1138#380—831no—
1139#379—831no—
1140#379—831no—
1141#379C2×D8311yescharacteristic, complemented
1142#379C2×D8311yescharacteristic, complemented
1143C2×#95—831no—
1144C2×#95—831no—
1145C25—831no—
1146C25—831no—
1147C25C22×D8311yescharacteristic
1148C22×Q8—831no—
1149C22×D4—3322no—
1150C22×D4—3322no—
1151C22×D4—3322no—
1152C22×D4—3322no—
1153C22×D4—831no—
1154C22×D4—831no—
1155C22×D4—831no—
1156C22×D4—831no—
1157C22×D4—831no—
1158C22×D4—831no—
1159C22×D4—831no—
1160C22×D4—831no—
1161C22×D4—831no—
1162C22×D4—831no—
1163C22×D4—831no—
1164C22×D4—831no—
1165C22×D4—831no—
1166C22×D4—831no—
1167C22×D4—831no—
1168C22×D4—831no—
1169C22×D4—831no—
1170C22×D4—831no—
1171C22×D4—831no—
1172C22×D4—831no—
1173C22×D4—831no—
1174C22×D4—831no—
1175C22×D4—831no—
1176C22×D4—831no—
1177C22×D4—1664no—
1178C22×D4—1664no—
1179C22×D4C22×D8311yescharacteristic
1180C22×D4C22×D8311yescharacteristic
1181C22×D4C22×D8311yescharacteristic
1182C23×C4—831no—
1183C23×C4—831no—
1184C23×C4—831no—
1185C23×C4—831no—
1186C23×C4—831no—
1187C23×C4—831no—
1188C23×C4—831no—
1189C23×C4—831no—
1190C23×C4—831no—
1191C23×C4—831no—
1192#127—3322no—
1193#126—24no—
1194#126—1664no—
1195#124—3322no—
1196#124—1664no—
1197#124—1664no—
1198#123—1664no—
1199#123—1664no—
1200#123—1664no—
1201#123—1664no—
1202#123—1664no—
1203#123—1664no—
1204C22⋊Q8—1664no—
1205#121—3322no—
1206#121—3322no—
1207#121—3322no—
1208#121—3322no—
1209#121—3322no—
1210#121—3322no—
1211#121—3322no—
1212#121—3322no—
1213#121—3322no—
1214#121—3322no—
1215#121—1664no—
1216#121—1664no—
1217#121—1664no—
1218#121—1664no—
1219#121—1664no—
1220#121—1664no—
1221#121—1664no—
1222#120—24no—
1223#120—3322no—
1224#120—3322no—
1225#120—3322no—
1226#120—3322no—
1227#120—1664no—
1228#120—1664no—
1229#120—1664no—
1230#120—1664no—
1231#120—1664no—
1232C4×D4—1664no—
1233C4×D4—1664no—
1234C2×C4⋊C4—3322no—
1235C2×C4⋊C4—831no—
1236C2×C4⋊C4—831no—
1237C2×C4⋊C4—831no—
1238C2×C4⋊C4—831no—
1239C2×C4⋊C4—831no—
1240C2×C4⋊C4—831no—
1241C2×C4⋊C4—831no—
1242C2×C4⋊C4—831no—
1243C2×C4⋊C4—831no—
1244C2×C4⋊C4—831no—
1245C2×C4⋊C4—831no—
1246C2×C4⋊C4—831no—
1247C2×C4⋊C4—831no—
1248C2×C4⋊C4—831no—
1249C2×C4⋊C4—831no—
1250C2×C4⋊C4—831no—
1251C2×C4⋊C4C22×D8311yescharacteristic
1252C2×C4⋊C4C22×D8311yescharacteristic
1253C2×C4⋊C4C22×D8311yescharacteristic
1254C2×C4⋊C4C22×D8311yescharacteristic
1255C2×C4⋊C4C22×D8311yescharacteristic
1256C2×C4⋊C4C22×D8311yescharacteristic
1257C2×C22⋊C4—3322no—
1258C2×C22⋊C4—3322no—
1259C2×C22⋊C4—831no—
1260C2×C22⋊C4—831no—
1261C2×C22⋊C4—831no—
1262C2×C22⋊C4—831no—
1263C2×C22⋊C4—831no—
1264C2×C22⋊C4—831no—
1265C2×C22⋊C4—831no—
1266C2×C22⋊C4—831no—
1267C2×C22⋊C4—831no—
1268C2×C22⋊C4—831no—
1269C2×C22⋊C4—831no—
1270C2×C22⋊C4—831no—
1271C2×C22⋊C4—831no—
1272C2×C22⋊C4—831no—
1273C2×C22⋊C4—831no—
1274C2×C22⋊C4—831no—
1275C2×C22⋊C4—831no—
1276C2×C22⋊C4—831no—
1277C2×C22⋊C4—831no—
1278C2×C22⋊C4—831no—
1279C2×C22⋊C4—831no—
1280C2×C22⋊C4—838no—
1281C2×C22⋊C4—831no—
1282C2×C22⋊C4—831no—
1283C2×C22⋊C4—831no—
1284C2×C22⋊C4—831no—
1285C2×C22⋊C4—831no—
1286C2×C22⋊C4—831no—
1287C2×C22⋊C4—831no—
1288C2×C22⋊C4—831no—
1289C2×C22⋊C4—831no—
1290C2×C22⋊C4—831no—
1291C2×C22⋊C4—831no—
1292C2×C22⋊C4—831no—
1293C2×C22⋊C4—831no—
1294C2×C22⋊C4—831no—
1295C2×C22⋊C4—831no—
1296C2×C22⋊C4—831no—
1297C2×C22⋊C4—831no—
1298C2×C22⋊C4—831no—
1299C2×C22⋊C4—831no—
1300C2×C22⋊C4—831no—
1301C2×C22⋊C4—831no—
1302C2×C22⋊C4—831no—
1303C2×C22⋊C4C22×D8311yescharacteristic
1304C2×C22⋊C4C22×D8311yescharacteristic
1305C2×C22⋊C4C22×D8311yescharacteristic
1306C2×C22⋊C4C22×D8311yescharacteristic
1307C2×C22⋊C4C22×D8311yescharacteristic
1308C2×C22⋊C4C22×D8311yescharacteristic
1309C2×C22⋊C4C22×D8311yescharacteristic
1310C2×C22⋊C4C22×D8311yescharacteristic
1311C2×C22⋊C4C22×D8311yescharacteristic
1312C2×C22⋊C4C22×D8311yescharacteristic
1313C2×C22⋊C4C22×D8311yescharacteristic
1314C2×C22⋊C4C22×D8311yescharacteristic
1315C2×C22⋊C4C22×D8311yescharacteristic
1316C2×C22⋊C4C22×D8311yescharacteristic
1317C2×C22⋊C4C22×D8311yescharacteristic
1318C2×C22⋊C4C22×D8311yescharacteristic
1319C2×C22⋊C4C22×D8311yescharacteristic
1320C2×C22⋊C4C22×D8311yescharacteristic
1321C2×C22⋊C4C22×D8311yescharacteristic
1322C2×C42—3322no—
1323C2×C42—831no—
1324C2×C42—831no—
1325C2×C42—831no—
1326C2×C42—831no—
1327C2×C42C22×D8311yescharacteristic
1328C2×C42C22×D8311yescharacteristic
1329#95—831no—
1330#95—831no—
1331#95—831no—
1332#95—831no—
1333#95—831no—
1334#95—831no—
1335#95—831no—
1336#95—831no—
1337#95—831no—
1338#95—831no—
1339#95—831no—
1340#95—831no—
1341#95—831no—
1342#95—831no—
1343#95—831no—
1344#95—831no—
1345#95—831no—
1346#95—831no—
1347#95—831no—
1348#95—831no—
1349#95C22×D8311yescharacteristic
1350#95C22×D8311yescharacteristic
1351#95C22×D8311yescharacteristic
1352#95C22×D8311yescharacteristic
1353C24—22no—
1354C24—41no—
1355C24—41no—
1356C24—41no—
1357C24—41no—
1358C24—41no—
1359C24—41no—
1360C24—3321no—
1361C24—3321no—
1362C24—3321no—
1363C24—3321no—
1364C24—3321no—
1365C24—3321no—
1366C24—3321no—
1367C24—3321no—
1368C24—3321no—
1369C24—3321no—
1370C24—834no—
1371C24—831no—
1372C24—831no—
1373C24—831no—
1374C24—831no—
1375C24—831no—
1376C24—1662no—
1377C24—1662no—
1378C24—1662no—
1379C24C23×D8311yescharacteristic
1380C24C23×D8311yescharacteristic
1381C24C23×D8311yescharacteristic
1382C24C23×D8311yescharacteristic
1383C2×Q8—3321no—
1384C2×Q8—3321no—
1385C2×Q8—1662no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—3321no—
1396C2×D4—3321no—
1397C2×D4—3321no—
1398C2×D4—3321no—
1399C2×D4—3321no—
1400C2×D4—3321no—
1401C2×D4—3321no—
1402C2×D4—3321no—
1403C2×D4—3321no—
1404C2×D4—3321no—
1405C2×D4—3321no—
1406C2×D4—3321no—
1407C2×D4—33216no—
1408C2×D4—33216no—
1409C2×D4—3321no—
1410C2×D4—3321no—
1411C2×D4—3321no—
1412C2×D4—3321no—
1413C2×D4—3321no—
1414C2×D4—3321no—
1415C2×D4—3321no—
1416C2×D4—3321no—
1417C2×D4—3321no—
1418C2×D4—3321no—
1419C2×D4—3321no—
1420C2×D4—3321no—
1421C2×D4—3321no—
1422C2×D4—3321no—
1423C2×D4—3321no—
1424C2×D4—3321no—
1425C2×D4—3321no—
1426C2×D4—3321no—
1427C2×D4—3321no—
1428C2×D4—3321no—
1429C2×D4—3321no—
1430C2×D4—3321no—
1431C2×D4—3321no—
1432C2×D4—3321no—
1433C2×D4—3321no—
1434C2×D4—3321no—
1435C2×D4—3321no—
1436C2×D4—3321no—
1437C2×D4—1662no—
1438C2×D4—1662no—
1439C2×D4—1662no—
1440C2×D4—1662no—
1441C2×D4—1662no—
1442C2×D4—1662no—
1443C2×D4—1662no—
1444C2×D4—1662no—
1445C2×D4—1662no—
1446C2×D4—1662no—
1447C2×D4—1662no—
1448C2×D4—1662no—
1449C2×D4—1662no—
1450C2×D4—1662no—
1451C2×D4—1662no—
1452C2×D4—1662no—
1453C2×D4—1662no—
1454C2×D4—1662no—
1455C2×D4—1662no—
1456C2×D4—1662no—
1457C2×D4—1662no—
1458C2×D4—1662no—
1459C2×D4—1662no—
1460C2×D4—1662no—
1461C2×D4—1662no—
1462C2×D4—1662no—
1463C2×D4—1662no—
1464C2×D4—1662no—
1465C2×D4—1662no—
1466C2×D4—1662no—
1467C2×D4—1662no—
1468C2×D4—1662no—
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—3321no—
1487C22×C4—834no—
1488C22×C4—834no—
1489C22×C4—831no—
1490C22×C4—831no—
1491C22×C4—831no—
1492C22×C4—831no—
1493C22×C4—831no—
1494C22×C4—831no—
1495C22×C4—831no—
1496C22×C4—831no—
1497C22×C4—831no—
1498C22×C4—831no—
1499C22×C4—831no—
1500C22×C4—1662no—
1501C22×C4—1662no—
1502C22×C4—1662no—
1503C22×C4—1662no—
1504C22×C4—1662no—
1505C22×C4—1662no—
1506C22×C4—1662no—
1507C22×C4—1662no—
1508C22×C4—1662no—
1509C22×C4—1662no—
1510C22×C4C23×D8311yescharacteristic
1511C22×C4C23×D8311yescharacteristic
1512C22×C4C23×D8311yescharacteristic
1513C22×C4C23×D8311yescharacteristic
1514C22×C4C23×D8311yescharacteristic
1515C22×C4C23×D8311yescharacteristic
1516C22×C4C23×D8311yescharacteristic
1517C22×C4C23×D8311yescharacteristic
1518C22×C4C23×D8311yescharacteristic
1519C22×C4C23×D8311yescharacteristic
1520C22×C4C23×D8311yescharacteristic
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—41no—
1525C4⋊C4—41no—
1526C4⋊C4—41no—
1527C4⋊C4—3321no—
1528C4⋊C4—3321no—
1529C4⋊C4—3321no—
1530C4⋊C4—3321no—
1531C4⋊C4—3321no—
1532C4⋊C4—3321no—
1533C4⋊C4—3321no—
1534C4⋊C4—1662no—
1535C4⋊C4—1662no—
1536C4⋊C4—1662no—
1537C4⋊C4—1662no—
1538C4⋊C4—1662no—
1539C4⋊C4—1662no—
1540C4⋊C4—1662no—
1541C4⋊C4—1662no—
1542C4⋊C4—1662no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—3321no—
1562C22⋊C4—3321no—
1563C22⋊C4—3321no—
1564C22⋊C4—3321no—
1565C22⋊C4—3321no—
1566C22⋊C4—3321no—
1567C22⋊C4—3321no—
1568C22⋊C4—3321no—
1569C22⋊C4—3321no—
1570C22⋊C4—3321no—
1571C22⋊C4—3321no—
1572C22⋊C4—3321no—
1573C22⋊C4—3321no—
1574C22⋊C4—3321no—
1575C22⋊C4—3321no—
1576C22⋊C4—3321no—
1577C22⋊C4—3321no—
1578C22⋊C4—3321no—
1579C22⋊C4—834no—
1580C22⋊C4—834no—
1581C22⋊C4—834no—
1582C22⋊C4—1662no—
1583C22⋊C4—1662no—
1584C22⋊C4—1662no—
1585C22⋊C4—1662no—
1586C22⋊C4—1662no—
1587C22⋊C4—1662no—
1588C22⋊C4—1662no—
1589C22⋊C4—1662no—
1590C22⋊C4—1662no—
1591C22⋊C4—1662no—
1592C22⋊C4—1662no—
1593C22⋊C4—1662no—
1594C22⋊C4—1662no—
1595C22⋊C4—1662no—
1596C22⋊C4—1662no—
1597C22⋊C4—1662no—
1598C22⋊C4—1662no—
1599C22⋊C4—1662no—
1600C22⋊C4—1662no—
1601C22⋊C4—1662no—
1602C22⋊C4—1662no—
1603C22⋊C4—1662no—
1604C22⋊C4D4×D8314yes—
1605C42—22no—
1606C42—41no—
1607C42—3321no—
1608C42—1662no—
1609C42—1662no—
1610C42—1662no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—44no—
1639C23—82no—
1640C23—82no—
1641C23—82no—
1642C23—82no—
1643C23—82no—
1644C23—82no—
1645C23—3324no—
1646C23—3324no—
1647C23—3324no—
1648C23—832no—
1649C23—832no—
1650C23—832no—
1651C23—832no—
1652C23—6642no—
1653C23—6642no—
1654C23—6642no—
1655C23—6642no—
1656C23—6642no—
1657C23—6642no—
1658C23—6642no—
1659C23—6642no—
1660C23—6642no—
1661C23—6642no—
1662C23—1668no—
1663C23—1661no—
1664C23—1661no—
1665C23—1661no—
1666C23—1661no—
1667C23—1661no—
1668C23—1661no—
1669C23—1661no—
1670C23—1661no—
1671C23—1661no—
1672C23—1661no—
1673C23—1661no—
1674C23—1661no—
1675C23—1661no—
1676C23—1661no—
1677C23—1661no—
1678C23—1661no—
1679C23—1661no—
1680C23—1661no—
1681C23—1661no—
1682C23—1661no—
1683C23—1661no—
1684C23—1661no—
1685C23—1661no—
1686C23—1661no—
1687C23—1661no—
1688C23—1661no—
1689C23—1661no—
1690C23—1661no—
1691C23—1661no—
1692C23—1661no—
1693C23—1661no—
1694C23C2×D4×D8312yes—
1695C23C24×D8311yescharacteristic
1696Q8—6642no—
1697D4—44no—
1698D4—82no—
1699D4—82no—
1700D4—3324no—
1701D4—3324no—
1702D4—3324no—
1703D4—3324no—
1704D4—3324no—
1705D4—3324no—
1706D4—3324no—
1707D4—3324no—
1708D4—3324no—
1709D4—6642no—
1710D4—6642no—
1711D4—6642no—
1712D4—6642no—
1713D4—6642no—
1714D4—6642no—
1715D4—6642no—
1716D4—6642no—
1717D4—6642no—
1718D4—6642no—
1719D4—6642no—
1720D4—6642no—
1721D4—6642no—
1722D4—6642no—
1723D4—6642no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—3324no—
1756C2×C4—3324no—
1757C2×C4—3324no—
1758C2×C4—3324no—
1759C2×C4—3324no—
1760C2×C4—3324no—
1761C2×C4—832no—
1762C2×C4—832no—
1763C2×C4—832no—
1764C2×C4—832no—
1765C2×C4—6642no—
1766C2×C4—6642no—
1767C2×C4—6642no—
1768C2×C4—6642no—
1769C2×C4—1661no—
1770C2×C4—1661no—
1771C2×C4—1661no—
1772C2×C4—1661no—
1773C2×C4—1661no—
1774C2×C4—1661no—
1775C2×C4—1661no—
1776C2×C4—1661no—
1777C2×C4—1661no—
1778C2×C4—1661no—
1779C2×C4—1661no—
1780C2×C4—1661no—
1781C2×C4—1661no—
1782C2×C4—1661no—
1783C2×C4—1661no—
1784C2×C4—1661no—
1785C2×C4—1661no—
1786C2×C4—1661no—
1787C2×C4—1661no—
1788C2×C4—1661no—
1789C2×C4—1661no—
1790C2×C4—1661no—
1791C2×C4—1661no—
1792C2×C4—1661no—
1793C2×C4—1661no—
1794C2×C4—1661no—
1795C2×C4—1661no—
1796C2×C4—1661no—
1797C2×C4—1661no—
1798C2×C4C2×D4×D8312yes—
1799C2×C4C2×D4×D8312yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—88no—
1829C22—3321no—
1830C22—3321no—
1831C22—3321no—
1832C22—3321no—
1833C22—3321no—
1834C22—3321no—
1835C22—3321no—
1836C22—3321no—
1837C22—3321no—
1838C22—3321no—
1839C22—3321no—
1840C22—3321no—
1841C22—3321no—
1842C22—3321no—
1843C22—3321no—
1844C22—3321no—
1845C22—3321no—
1846C22—3321no—
1847C22—3321no—
1848C22—3321no—
1849C22—3321no—
1850C22—3321no—
1851C22—3321no—
1852C22—3321no—
1853C22—3321no—
1854C22—834no—
1855C22—6648no—
1856C22—6648no—
1857C22—1662no—
1858C22—1662no—
1859C22—1662no—
1860C22—1662no—
1861C22—1662no—
1862C22—1662no—
1863C22—1662no—
1864C22—1662no—
1865C22—1662no—
1866C22C22×D4×D8311yescharacteristic
1867C22H(5,𝔽2)×D8311yescharacteristic
1868C22H(5,𝔽2)×D8311yescharacteristic
1869C22H(5,𝔽2)×D8311yescharacteristic
1870C22H(5,𝔽2)×D8311yescharacteristic
1871C22#1912853711yescharacteristic
1872C22#1912853711yescharacteristic
1873C4—22no—
1874C4—22no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—3321no—
1885C4—3321no—
1886C4—3321no—
1887C4—3321no—
1888C4—3321no—
1889C4—3321no—
1890C4—3321no—
1891C4—1662no—
1892C4—1662no—
1893C4—1662no—
1894C4—1662no—
1895C2—42no—
1896C2—81no—
1897C2—81no—
1898C2—81no—
1899C2—3322no—
1900C2—6641no—
1901C2—6641no—
1902C2—6641no—
1903C2—1664no—
1904C2#535×D8311yescharacteristic
1905C2#2492122311yescharacteristic
1906C2#2492122311yescharacteristic
1907C2#2492165211yescharacteristic
1908C2#2492169711yescharacteristic
1909C2#2492197411yescharacteristic
1910C2#2492201011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2685C2
hypercenter#2685D83
hypocenterC83#36739
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. C2×#19128290C2semidirect
2. C2×#19128261C2semidirect
3. #24915807C2semidirect
4. #24915761C2semidirect
5. #24914307C2semidirect
6. #24914306C2semidirect
7. #24914211C2semidirect
8. #24914208C2semidirect
9. #24914157C2semidirect
10. #24914156C2semidirect
11. #24914104C2semidirect
12. #24914101C2semidirect
13. #24913849C2semidirect
14. #24913795C2semidirect
15. #24913792C2semidirect
16. #24913689C2semidirect
17. #24913686C2semidirect
18. #24913679C2semidirect
19. #24913677C2semidirect
20. #24913566C2semidirect
21. #24913394C2semidirect
22. #24912428C2semidirect
23. #24912426C2semidirect
24. #24910906C2semidirect
25. #24910898C2semidirect
26. #24910839C2semidirect
27. #24910839C2semidirect
28. #24910832C2semidirect
29. #24910832C2semidirect
30. #388×D83C2semidirect
31. C83×#2685C2semidirect
36. C2×#14581788C22semidirect
37. C2×#14581787C22semidirect
38. C2×#14581780C22semidirect
39. C2×#14581778C22semidirect
40. C2×#14581778C22semidirect
41. C2×#14581777C22semidirect
45. C2×#14581774C22semidirect
47. C2×#14581770C22semidirect
48. C2×#14581767C22semidirect
49. C2×#14581767C22semidirect
50. C2×#14581767C22semidirect
51. C2×#14581767C22semidirect
54. C2×#14581765C22semidirect
55. C2×#14581765C22semidirect
56. C2×#14581765C22semidirect
57. C2×#14581765C22semidirect
58. C2×#14581765C22semidirect
59. C2×#14581765C22semidirect
60. C2×#14581765C22semidirect
61. C2×#14581765C22semidirect
64. C2×#14581763C22semidirect
67. C2×#14581762C22semidirect
68. C2×#14581762C22semidirect
70. C2×#14581761C22semidirect
71. C2×#14581761C22semidirect
74. C2×C4×D332C22semidirect
75. C2×#14581754C22semidirect
76. C2×C4⋊C4×D83C22semidirect
80. C2×C42×D83C22semidirect
81. #19127641C22semidirect
82. #19127640C22semidirect
83. #19127636C22semidirect
84. #19127636C22semidirect
85. #19127636C22semidirect
86. #19127634C22semidirect
87. #19127631C22semidirect
88. #19127630C22semidirect
89. #19127629C22semidirect
90. #19127629C22semidirect
91. #19127628C22semidirect
92. #19127624C22semidirect
93. #19127624C22semidirect
94. #19127623C22semidirect
95. #19127618C22semidirect
96. #19127617C22semidirect
97. #19127617C22semidirect
104. #19127616C22semidirect
105. #19127616C22semidirect
106. #19127615C22semidirect
107. #19127613C22semidirect
108. #19127613C22semidirect
109. #19127611C22semidirect
116. #19127610C22semidirect
117. #19127610C22semidirect
118. #19127610C22semidirect
119. #19127610C22semidirect
122. #19127609C22semidirect
123. #19127605C22semidirect
124. #19127603C22semidirect
125. #19127601C22semidirect
126. #19127601C22semidirect
127. #19127601C22semidirect
128. #19127601C22semidirect
129. #19127601C22semidirect
130. #19127601C22semidirect
131. #19127599C22semidirect
132. #19127596C22semidirect
133. #19127595C22semidirect
134. #19127595C22semidirect
135. #19127595C22semidirect
136. #19127595C22semidirect
137. #19127594C22semidirect
138. #19127593C22semidirect
139. #19127592C22semidirect
140. #19127592C22semidirect
141. #19127592C22semidirect
142. #19127591C22semidirect
143. #19127591C22semidirect
144. #19127590C22semidirect
145. #19127589C22semidirect
146. #19127579C22semidirect
147. #19127579C22semidirect
148. #19127579C22semidirect
149. #19127579C22semidirect
150. #19127579C22semidirect
151. #19127578C22semidirect
152. #19127578C22semidirect
153. #19127577C22semidirect
154. #19127577C22semidirect
155. #19127577C22semidirect
156. #19127577C22semidirect
157. #19127577C22semidirect
158. #19127577C22semidirect
159. #19127577C22semidirect
160. #19127577C22semidirect
161. #19127577C22semidirect
162. #19127573C22semidirect
163. #19127573C22semidirect
164. #19127572C22semidirect
165. #19127572C22semidirect
166. #19127570C22semidirect
167. #19127565C22semidirect
168. #19127560C22semidirect
169. #19127558C22semidirect
170. #19127556C22semidirect
171. #19127556C22semidirect
172. #95×D83C22semidirect
173. #95×D83C22semidirect
174. C2×#126×C83C22semidirect
176. #399×C83C22semidirect
177. #396×C83C22semidirect
180. #394×C83C22semidirect
181. #394×C83C22semidirect
182. #390×C83C22semidirect
183. #390×C83C22semidirect
184. #388×C83C22semidirect
185. #388×C83C22semidirect
186. #388×C83C22semidirect
187. #379×C83C22semidirect
188. #379×C83C22semidirect
334. C22⋊C4×D83D4semidirect
969. #2685D83semidirect
987. C83#36739semidirect
994. C2×#126C2×D83semidirect
1044. #399C2×D83semidirect
1054. #396C2×D83semidirect
1069. #394C2×D83semidirect
1070. #394C2×D83semidirect
1095. #390C2×D83semidirect
1096. #390C2×D83semidirect
1112. #388C2×D83semidirect
1113. #388C2×D83semidirect
1114. #388C2×D83semidirect
1141. #379C2×D83semidirect
1142. #379C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282902
C2×#191282612
#249158072
#249157612
#249143072
#249143062
#249142112
#249142082
#249141572
#249141562
#249141042
#249141012
#249138492
#249137952
#249137922
#249136892
#249136862
#249136792
#249136772
#249135662
#249133942
#249124282
#249124262
#249109062
#249108982
#249108392
#249108322
#388×D832
C83×#26852
#3673983