Finite Group Databasebeta

← #35611497

Subgroups — #35611497

Order 21248.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128290C211yesmaximal, characteristic, complemented
2C2×#19128213C211yesmaximal, characteristic, complemented
3#24915758C211yesmaximal, characteristic, complemented
4#24915744C211yesmaximal, characteristic, complemented
5#24914135C211yesmaximal, characteristic, complemented
6#24914090C211yesmaximal, characteristic, complemented
7#24914056C211yesmaximal, characteristic, complemented
8#24914049C211yesmaximal, characteristic, complemented
9#24913881C211yesmaximal, characteristic, complemented
10#24913831C211yesmaximal, characteristic, complemented
11#24913820C211yesmaximal, characteristic, complemented
12#24913810C211yesmaximal, characteristic, complemented
13#24913796C211yesmaximal, characteristic, complemented
14#24913793C211yesmaximal, characteristic, complemented
15#24913793C211yesmaximal, characteristic, complemented
16#24913783C211yesmaximal, characteristic, complemented
17#24913711C211yesmaximal, characteristic, complemented
18#24913686C211yesmaximal, characteristic, complemented
19#24913678C211yesmaximal, characteristic, complemented
20#24913678C211yesmaximal, characteristic, complemented
21#24913354C211yesmaximal, characteristic, complemented
22#24913312C211yesmaximal, characteristic, complemented
23#24913150C211yesmaximal, characteristic, complemented
24#24913092C211yesmaximal, characteristic, complemented
25#24913052C211yesmaximal, characteristic, complemented
26#24912434C211yesmaximal, characteristic, complemented
27#24912357C211yesmaximal, characteristic, complemented
28#24910807C211yesmaximal, characteristic, complemented
29#24910780C211yesmaximal, characteristic, complemented
30#24910101C211yesmaximal, characteristic, complemented
31C83×#2601C211yesmaximal, characteristic, complemented
32C22×#13050590C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic, complemented
34#19128290—28no—
35C2×#14581789C2211yescharacteristic
36C2×#14581787C2211yescharacteristic, complemented
37C2×#14581780C2211yescharacteristic, complemented
38C2×#14581780C2211yescharacteristic, complemented
39C2×#14581778C2211yescharacteristic
40#19128213—28no—
41C2×#14581777C2211yescharacteristic
42C2×#14581777C2211yescharacteristic
43C2×#14581777C2211yescharacteristic
44C2×#14581776C2211yescharacteristic
45C2×#14581776C2211yescharacteristic, complemented
46C2×#14581774C2211yescharacteristic, complemented
47C2×#14581772C2211yescharacteristic, complemented
48C2×#14581772C2211yescharacteristic, complemented
49C2×#14581770C2211yescharacteristic, complemented
50C2×#14581770C2211yescharacteristic, complemented
51C2×#14581767C2211yescharacteristic
52C2×#14581767C2211yescharacteristic
53C2×#14581767C2211yescharacteristic
54C2×#14581767C2211yescharacteristic
55C2×#14581765C2211yescharacteristic
56C2×#14581765C2211yescharacteristic
57C2×#14581765C2211yescharacteristic, complemented
58C2×#14581764C2211yescharacteristic
59C2×#14581762C2211yescharacteristic
60C2×#14581762C2211yescharacteristic
61C2×#14581762C2211yescharacteristic
62C2×#14581762C2211yescharacteristic
63C2×#14581762C2211yescharacteristic, complemented
64C2×#14581762C2211yescharacteristic, complemented
65C2×#14581762C2211yescharacteristic, complemented
66C2×#14581762C2211yescharacteristic, complemented
67C2×#14581760C2211yescharacteristic
68C2×#14581760C2211yescharacteristic
69C2×C4×D332C2211yescharacteristic
70C2×C4×D332C2211yescharacteristic
71C2×C4×D332C2211yescharacteristic, complemented
72C2×C4×D332C2211yescharacteristic, complemented
73C2×#14581754C2211yescharacteristic, complemented
74C2×C22⋊C4×D83C2211yescharacteristic, complemented
75#19127643C2211yescharacteristic, complemented
76#19127636C2211yescharacteristic, complemented
77#19127635C2211yescharacteristic, complemented
78#19127631C2211yescharacteristic, complemented
79#19127630C2211yescharacteristic, complemented
80#19127630C2211yescharacteristic, complemented
81#19127626C2211yescharacteristic, complemented
82#19127625C2211yescharacteristic, complemented
83#19127624C2211yescharacteristic, complemented
84#19127623C2211yescharacteristic, complemented
85#19127623C2211yescharacteristic, complemented
86#19127621C2211yescharacteristic, complemented
87#19127619C2211yescharacteristic
88#19127619C2211yescharacteristic
89#19127619C2211yescharacteristic
90#19127619C2211yescharacteristic, complemented
91#19127618C2211yescharacteristic
92#19127618C2211yescharacteristic, complemented
93#19127618C2211yescharacteristic, complemented
94#19127618C2211yescharacteristic, complemented
95#19127618C2211yescharacteristic, complemented
96#19127618C2211yescharacteristic, complemented
97#19127618C2211yescharacteristic, complemented
98#19127618C2211yescharacteristic, complemented
99#19127618C2211yescharacteristic, complemented
100#19127618C2211yescharacteristic, complemented
101#19127617C2211yescharacteristic, complemented
102#19127616C2211yescharacteristic
103#19127616C2211yescharacteristic
104#19127616C2211yescharacteristic
105#19127614C2211yescharacteristic, complemented
106#19127613C2211yescharacteristic, complemented
107#19127613C2211yescharacteristic, complemented
108#19127611C2211yescharacteristic
109#19127611C2211yescharacteristic
110#19127611C2211yescharacteristic, complemented
111#19127611C2211yescharacteristic, complemented
112#19127610C2211yescharacteristic
113#19127610C2211yescharacteristic
114#19127610C2211yescharacteristic
115#19127610C2211yescharacteristic
116#19127610C2211yescharacteristic
117#19127610C2211yescharacteristic, complemented
118#19127609C2211yescharacteristic
119#19127607C2211yescharacteristic, complemented
120#19127605C2211yescharacteristic, complemented
121#19127603C2211yescharacteristic, complemented
122#19127602C2211yescharacteristic
123#19127602C2211yescharacteristic
124#19127601C2211yescharacteristic
125#19127601C2211yescharacteristic
126#19127601C2211yescharacteristic, complemented
127#19127601C2211yescharacteristic, complemented
128#19127601C2211yescharacteristic, complemented
129#19127597C2211yescharacteristic, complemented
130#19127597C2211yescharacteristic, complemented
131#19127592C2211yescharacteristic, complemented
132#19127592C2211yescharacteristic, complemented
133#19127592C2211yescharacteristic, complemented
134#19127592C2211yescharacteristic, complemented
135#19127592C2211yescharacteristic, complemented
136#19127592C2211yescharacteristic, complemented
137#19127591C2211yescharacteristic, complemented
138#19127591C2211yescharacteristic, complemented
139#19127591C2211yescharacteristic, complemented
140#19127591C2211yescharacteristic, complemented
141#19127591C2211yescharacteristic, complemented
142#19127588C2211yescharacteristic, complemented
143#19127580C2211yescharacteristic
144#19127580C2211yescharacteristic, complemented
145#19127579C2211yescharacteristic
146#19127579C2211yescharacteristic
147#19127579C2211yescharacteristic, complemented
148#19127579C2211yescharacteristic, complemented
149#19127579C2211yescharacteristic, complemented
150#19127579C2211yescharacteristic, complemented
151#19127579C2211yescharacteristic, complemented
152#19127579C2211yescharacteristic, complemented
153#19127578C2211yescharacteristic
154#19127577C2211yescharacteristic
155#19127577C2211yescharacteristic
156#19127577C2211yescharacteristic
157#19127577C2211yescharacteristic, complemented
158#19127575C2211yescharacteristic, complemented
159#19127573C2211yescharacteristic, complemented
160#19127572C2211yescharacteristic, complemented
161#19127572C2211yescharacteristic, complemented
162#19127572C2211yescharacteristic, complemented
163#19127563C2211yescharacteristic, complemented
164#19127563C2211yescharacteristic, complemented
165#19127563C2211yescharacteristic, complemented
166#19127563C2211yescharacteristic, complemented
167#19127560C2211yescharacteristic, complemented
168#19127560C2211yescharacteristic, complemented
169#19127560C2211yescharacteristic, complemented
170#19127559C2211yescharacteristic, complemented
171#19127556C2211yescharacteristic, complemented
172#19127556C2211yescharacteristic, complemented
173#19127547C2211yescharacteristic, complemented
174C2×#126×C83C2211yescharacteristic, complemented
175C2×#117×C83C2211yescharacteristic, complemented
176#398×C83C2211yescharacteristic, complemented
177#396×C83C2211yescharacteristic, complemented
178#396×C83C2211yescharacteristic, complemented
179#394×C83C2211yescharacteristic
180#390×C83C2211yescharacteristic
181#389×C83C2211yescharacteristic, complemented
182#388×C83C2211yescharacteristic, complemented
183#388×C83C2211yescharacteristic, complemented
184#388×C83C2211yescharacteristic, complemented
185#387×C83C2211yescharacteristic, complemented
186#386×C83C2211yescharacteristic
187#385×C83C2211yescharacteristic, complemented
188C4×C4⋊C4×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C2×#13050590—24no—
192C2×#13050590—42no—
193C2×#13050590—42no—
194C22×Dic166C2311yescharacteristic
195C22×Dic166C2311yescharacteristic
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×C22⋊D83C2311yescharacteristic
210C22×C22⋊D83C2311yescharacteristic
211C22×C22⋊D83C2311yescharacteristic
212C22×C22⋊D83C2311yescharacteristic
213C22×C22⋊D83C2311yescharacteristic
214C22×C22⋊D83C2311yescharacteristic
215C22×C22⋊D83C2311yescharacteristic
216C22×C22⋊D83C2311yescharacteristic
217C23×Dic83C2311yescharacteristic
218C22×C4×D83—24no—
219C22×C4×D83—42no—
220C22×C4×D83—42no—
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224C22×C4×D83C2311yescharacteristic
225C22×C4×D83C2311yescharacteristic
226C22×C4×D83C2311yescharacteristic
227C22×C4×D83C2311yescharacteristic
228C22×C4×D83C2311yescharacteristic
229#14581789—42no—
230#14581787—24no—
231#14581780—24no—
232#14581780—42no—
233#14581778—24no—
234#14581777—24no—
235#14581777—42no—
236#14581777—42no—
237#14581776—24no—
238#14581776—24no—
239#14581774—24no—
240#14581772—24no—
241#14581772—24no—
242#14581770—24no—
243#14581770—42no—
244#14581767—24no—
245#14581767—24no—
246#14581767—24no—
247#14581767—24no—
248#14581765—24no—
249#14581765—42no—
250#14581765—42no—
251#14581764—42no—
252#14581762—24no—
253#14581762—24no—
254#14581762—24no—
255#14581762—24no—
256#14581762—42no—
257#14581762—42no—
258#14581762—42no—
259#14581762—42no—
260#14581760—42no—
261#14581760—42no—
262C4×D332—24no—
263C4×D332—24no—
264C4×D332—24no—
265C4×D332D418yescomplemented
266#14581754—24no—
267C2×C4⋊Dic83C2311yescharacteristic
268C2×C4⋊Dic83C2311yescharacteristic
269C2×C4⋊Dic83C2311yescharacteristic
270C2×C4⋊Dic83C2311yescharacteristic
271C2×Dic83⋊C4C2311yescharacteristic
272C2×Dic83⋊C4C2311yescharacteristic
273C2×Dic83⋊C4C2311yescharacteristic
274C2×Dic83⋊C4C2311yescharacteristic
275C2×Dic83⋊C4C2311yescharacteristic
276C2×Dic83⋊C4C2311yescharacteristic
277C2×Dic83⋊C4C2311yescharacteristic
278C2×Dic83⋊C4C2311yescharacteristic
279C2×Dic83⋊C4C2311yescharacteristic
280C2×Dic83⋊C4C2311yescharacteristic
281C2×C22⋊Dic83C2311yescharacteristic
282C2×C22⋊Dic83C2311yescharacteristic
283C2×C22⋊Dic83C2311yescharacteristic
284C2×C22⋊Dic83C2311yescharacteristic
285C2×C22⋊Dic83C2311yescharacteristic
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×(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
330C22⋊C4×D83—24no—
331C2×C4×Dic83C2311yescharacteristic
332C2×C4×Dic83C2311yescharacteristic
333C2×C4×Dic83C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
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
354C22×D4×C83C2311yescharacteristic
355C23×C4×C83C2311yescharacteristic
356#126×C83—24no—
357#117×C83—24no—
358C2×C4⋊C4×C83C2311yescharacteristic
359C2×C4⋊C4×C83C2311yescharacteristic
360C2×C4⋊C4×C83C2311yescharacteristic
361C2×C4⋊C4×C83C2311yescharacteristic
362C2×C4⋊C4×C83C2311yescharacteristic
363C2×C4⋊C4×C83C2311yescharacteristic
364C2×C4⋊C4×C83C2311yescharacteristic
365C2×C4⋊C4×C83C2311yescharacteristic
366C2×C4⋊C4×C83C2311yescharacteristic
367C2×C4⋊C4×C83C2311yescharacteristic
368C2×C22⋊C4×C83C2311yescharacteristic
369C2×C22⋊C4×C83C2311yescharacteristic
370C2×C22⋊C4×C83C2311yescharacteristic
371C2×C22⋊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×C42×C83C2311yescharacteristic
380C2×C42×C83C2311yescharacteristic
381C2×C42×C83C2311yescharacteristic
382C2×C42×C83C2311yescharacteristic
383#95×C83C2311yescharacteristic
384#95×C83C2311yescharacteristic
385#95×C83C2311yescharacteristic
386#95×C83C2311yescharacteristic
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—22no—
393C23×D83—22no—
394C23×D83—22no—
395C23×D83—41no—
396C23×D83—41no—
397C23×D83—41no—
398C23×D83—41no—
399C23×D83—41no—
400C23×D83—41no—
401C23×D83—41no—
402C23×D83—41no—
403C23×D83—41no—
404C23×D83—41no—
405C23×D83C2411yescharacteristic
406C23×D83C2411yescharacteristic
407C23×D83C2411yescharacteristic
408C23×D83C2411yescharacteristic
409C23×D83C2411yescharacteristic
410C23×D83C2411yescharacteristic
411#13050590—416no—
412C2×Dic166—22no—
413C2×Dic166—22no—
414C2×Dic166—22no—
415C2×Dic166—41no—
416C2×Dic166—41no—
417C2×Dic166—41no—
418C2×D332—22no—
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×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×D332—41no—
455C2×D332—41no—
456C2×D332C2×D414yes—
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—22no—
464C2×C22⋊D83—22no—
465C2×C22⋊D83—22no—
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—
481C22×Dic83—22no—
482C22×Dic83—22no—
483C22×Dic83—41no—
484C22×Dic83C2411yescharacteristic
485C22×Dic83C2411yescharacteristic
486C22×Dic83C2411yescharacteristic
487C22×Dic83C2411yescharacteristic
488C22×Dic83C2411yescharacteristic
489C22×Dic83C2411yescharacteristic
490C22×Dic83C2411yescharacteristic
491C22×Dic83C2411yescharacteristic
492C22×Dic83C2411yescharacteristic
493C22×Dic83C2411yescharacteristic
494C2×C4×D83—22no—
495C2×C4×D83—22no—
496C2×C4×D83—22no—
497C2×C4×D83—22no—
498C2×C4×D83—22no—
499C2×C4×D83—22no—
500C2×C4×D83—22no—
501C2×C4×D83—22no—
502C2×C4×D83—41no—
503C2×C4×D83—41no—
504C2×C4×D83—41no—
505C2×C4×D83—41no—
506C2×C4×D83—41no—
507C2×C4×D83—41no—
508C2×C4×D83—41no—
509C2×C4×D83—41no—
510C2×C4×D83—41no—
511C2×C4×D83—41no—
512C2×C4×D83—416no—
513C2×C4×D83—41no—
514C2×C4×D83—41no—
515C2×C4×D83—41no—
516C2×C4×D83—41no—
517C2×C4×D83C2×D414yes—
518C2×C4×D83C2×D414yes—
519C4⋊Dic83—22no—
520C4⋊Dic83—22no—
521C4⋊Dic83—22no—
522C4⋊Dic83C2×D414yes—
523Dic83⋊C4—22no—
524Dic83⋊C4—22no—
525Dic83⋊C4—41no—
526Dic83⋊C4—41no—
527Dic83⋊C4—41no—
528Dic83⋊C4—41no—
529Dic83⋊C4—41no—
530Dic83⋊C4—41no—
531Dic83⋊C4—41no—
532Dic83⋊C4—41no—
533C22⋊Dic83—22no—
534C22⋊Dic83—41no—
535C22⋊Dic83—41no—
536C22⋊Dic83—41no—
537C22⋊Dic83—41no—
538(C2×D83)⋊C4—22no—
539(C2×D83)⋊C4—22no—
540(C2×D83)⋊C4—22no—
541(C2×D83)⋊C4—22no—
542(C2×D83)⋊C4—22no—
543(C2×D83)⋊C4—22no—
544(C2×D83)⋊C4—22no—
545(C2×D83)⋊C4—22no—
546(C2×D83)⋊C4—22no—
547(C2×D83)⋊C4—22no—
548(C2×D83)⋊C4—22no—
549(C2×D83)⋊C4—22no—
550(C2×D83)⋊C4—22no—
551(C2×D83)⋊C4—22no—
552(C2×D83)⋊C4—22no—
553(C2×D83)⋊C4—22no—
554(C2×D83)⋊C4—22no—
555(C2×D83)⋊C4—22no—
556(C2×D83)⋊C4—22no—
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—
564(C2×D83)⋊C4—41no—
565(C2×D83)⋊C4—41no—
566(C2×D83)⋊C4—41no—
567(C2×D83)⋊C4—41no—
568(C2×D83)⋊C4—41no—
569(C2×D83)⋊C4—41no—
570(C2×D83)⋊C4—41no—
571(C2×D83)⋊C4—41no—
572(C2×D83)⋊C4—41no—
573(C2×D83)⋊C4—41no—
574(C2×D83)⋊C4—41no—
575(C2×D83)⋊C4—41no—
576(C2×D83)⋊C4—41no—
577(C2×D83)⋊C4—41no—
578(C2×D83)⋊C4—41no—
579(C2×D83)⋊C4—41no—
580(C2×D83)⋊C4C2×D414yes—
581(C2×D83)⋊C4C2×D414yes—
582C4×Dic83—22no—
583C4×Dic83—41no—
584C4×Dic83—41no—
585C24×C83C2411yescharacteristic
586C24×C83C2411yescharacteristic
587C2×D4×C83—22no—
588C2×D4×C83—41no—
589C2×D4×C83—41no—
590C22×C4×C83—22no—
591C22×C4×C83—22no—
592C22×C4×C83—22no—
593C22×C4×C83C2411yescharacteristic
594C22×C4×C83C2411yescharacteristic
595C22×C4×C83C2411yescharacteristic
596C22×C4×C83C2411yescharacteristic
597C22×C4×C83C2411yescharacteristic
598C22×C4×C83C2411yescharacteristic
599C22×C4×C83C2411yescharacteristic
600C22×C4×C83C2411yescharacteristic
601C22×C4×C83C2411yescharacteristic
602C22×C4×C83C2411yescharacteristic
603C22×C4×C83C2411yescharacteristic
604C22×C4×C83C2411yescharacteristic
605C22×C4×C83C2411yescharacteristic
606C4⋊C4×C83—22no—
607C4⋊C4×C83—22no—
608C4⋊C4×C83—22no—
609C4⋊C4×C83—22no—
610C4⋊C4×C83—22no—
611C4⋊C4×C83—22no—
612C4⋊C4×C83—41no—
613C4⋊C4×C83—41no—
614C4⋊C4×C83—41no—
615C4⋊C4×C83—41no—
616C22⋊C4×C83—22no—
617C22⋊C4×C83—22no—
618C22⋊C4×C83—22no—
619C22⋊C4×C83—22no—
620C22⋊C4×C83—22no—
621C22⋊C4×C83—22no—
622C22⋊C4×C83—22no—
623C22⋊C4×C83—41no—
624C22⋊C4×C83—41no—
625C22⋊C4×C83—41no—
626C22⋊C4×C83—41no—
627C42×C83—22no—
628C42×C83—41no—
629C42×C83—41no—
630C42×C83C2×D414yes—
631C23×C83—21no—
632C23×C83—21no—
633C23×C83—21no—
634C23×C83—21no—
635C23×C83—21no—
636C23×C83—21no—
637C23×C83—21no—
638C23×C83—21no—
639C23×C83—21no—
640C23×C83—21no—
641C23×C83—21no—
642C23×C83—21no—
643C23×C83—21no—
644C23×C83H(5,𝔽2)12yes—
645C23×C83C2511yescharacteristic
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—21no—
664C22×D83—21no—
665C22×D83—21no—
666C22×D83—21no—
667C22×D83—21no—
668C22×D83—21no—
669C22×D83—21no—
670C22×D83—21no—
671C22×D83—21no—
672C22×D83—21no—
673C22×D83—21no—
674C22×D83—21no—
675C22×D83—21no—
676C22×D83—21no—
677C22×D83—21no—
678C22×D83—21no—
679C22×D83—21no—
680C22×D83—21no—
681C22×D83—21no—
682C22×D83—21no—
683C22×D83—21no—
684C22×D83—21no—
685C22×D83—44no—
686C22×D83—44no—
687C22×D83—44no—
688C22×D83—44no—
689C22×D83—44no—
690C22×D83—44no—
691C22×D83—44no—
692C22×D83—44no—
693C22×D83—82no—
694C22×D83—82no—
695C22×D83—82no—
696C22×D83—82no—
697C22×D83—82no—
698C22×D83—82no—
699C22×D83C22×D412yes—
700C22×D83C22×D412yes—
701C22×D83H(5,𝔽2)12yes—
702D4×C83—82no—
703C2×C4×C83—28no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—21no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—21no—
727C2×C4×C83—21no—
728C2×C4×C83—21no—
729C2×C4×C83—21no—
730C2×C4×C83—21no—
731C2×C4×C83—21no—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—21no—
738C2×C4×C83—21no—
739C2×C4×C83C22×D412yes—
740C2×C4×C83C22×D412yes—
741C2×C4×C83C22×D412yes—
742C2×C4×C83H(5,𝔽2)12yes—
743C22⋊D83—44no—
744C22⋊D83—44no—
745C22⋊D83—82no—
746C22⋊D83—82no—
747C22⋊D83—82no—
748C22⋊D83—82no—
749C22⋊D83—82no—
750C22⋊D83—82no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—21no—
756C2×Dic83—21no—
757C2×Dic83—21no—
758C2×Dic83—21no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—21no—
764C2×Dic83—21no—
765C2×Dic83—21no—
766C2×Dic83—21no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—21no—
772C2×Dic83—21no—
773C2×Dic83—21no—
774C2×Dic83—21no—
775C2×Dic83—21no—
776C2×Dic83—21no—
777C2×Dic83—21no—
778C2×Dic83—21no—
779C2×Dic83—44no—
780C2×Dic83C22×D412yes—
781C2×Dic83C22×D412yes—
782D332—44no—
783D332—44no—
784D332—44no—
785D332—44no—
786D332—44no—
787D332—44no—
788D332—82no—
789D332—82no—
790D332—82no—
791D332—82no—
792D332—82no—
793D332—82no—
794D332—82no—
795C4×D83—44no—
796C4×D83—44no—
797C4×D83—44no—
798C4×D83—44no—
799C4×D83—44no—
800C4×D83—44no—
801C4×D83—82no—
802C4×D83—82no—
803Dic166—44no—
804Dic166—82no—
805C22×C83—22no—
806C22×C83—22no—
807C22×C83—22no—
808C22×C83—41no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83—41no—
812C22×C83—41no—
813C22×C83—41no—
814C22×C83—41no—
815C22×C83—41no—
816C22×C83—41no—
817C22×C83—41no—
818C22×C83—41no—
819C22×C83C23×D411yescharacteristic
820C22×C83C2×H(5,𝔽2)11yescharacteristic
821C22×C83C2×H(5,𝔽2)11yescharacteristic
822C22×C83C2×H(5,𝔽2)11yescharacteristic
823C22×C83#58511yescharacteristic
824C22×C83#58511yescharacteristic
825C22×C83#58511yescharacteristic
826C2×D83—22no—
827C2×D83—22no—
828C2×D83—22no—
829C2×D83—22no—
830C2×D83—22no—
831C2×D83—22no—
832C2×D83—22no—
833C2×D83—22no—
834C2×D83—22no—
835C2×D83—416no—
836C2×D83—41no—
837C2×D83—41no—
838C2×D83—41no—
839C2×D83—41no—
840C2×D83—41no—
841C2×D83—41no—
842C2×D83—41no—
843C2×D83—41no—
844C2×D83—41no—
845C2×D83—41no—
846C2×D83—41no—
847C2×D83—41no—
848C2×D83—41no—
849C2×D83—41no—
850C2×D83—41no—
851C2×D83—41no—
852C2×D83—41no—
853C2×D83—41no—
854C2×D83—41no—
855C2×D83—41no—
856C2×D83—41no—
857C2×D83—41no—
858C2×D83—41no—
859C2×D83—41no—
860C2×D83—41no—
861C2×D83—41no—
862C2×D83—41no—
863C2×D83—41no—
864C2×D83—41no—
865C2×D83—41no—
866C2×D83—41no—
867C2×D83—41no—
868C2×D83—41no—
869C2×D83—88no—
870C4×C83—22no—
871C4×C83—22no—
872C4×C83—22no—
873C4×C83—22no—
874C4×C83—41no—
875C4×C83—41no—
876C4×C83—41no—
877C4×C83—41no—
878C4×C83—41no—
879C4×C83—41no—
880C4×C83—41no—
881C4×C83—41no—
882C4×C83—41no—
883Dic83—22no—
884Dic83—22no—
885Dic83—41no—
886Dic83—41no—
887Dic83—41no—
888Dic83—41no—
889Dic83—41no—
890Dic83—41no—
891Dic83—41no—
892Dic83—41no—
893#36724—831nomaximal, Sylow
894C2×C83—42no—
895C2×C83—81no—
896C2×C83#344911yescharacteristic
897C2×C83#348411yescharacteristic
898C2×C83#348811yescharacteristic
899C2×C83#353311yescharacteristic
900C2×C83#353411yescharacteristic
901C2×C83#354011yescharacteristic
902C2×C83#354211yescharacteristic
903D83—42no—
904D83—42no—
905D83—42no—
906D83—81no—
907D83—81no—
908D83—81no—
909C2×#538—831no—
910C2×#525—831no—
911#2849—831no—
912#2847—831no—
913#2705—831no—
914#2702—831no—
915#2700—831no—
916#2699—831no—
917#2687—831no—
918#2682—831no—
919#2681—831no—
920#2681—831no—
921#2679—831no—
922#2678—831no—
923#2678—831no—
924#2678—831no—
925#2672—831no—
926#2670—831no—
927#2669—831no—
928#2669—831no—
929#2635—831no—
930#2630—831no—
931#2610—831no—
932#2603—831no—
933#2601D8311yescharacteristic, complemented
934#2600—831no—
935#2544—831no—
936#2534—831no—
937#2407—831no—
938#2404—831no—
939#2319—831no—
940C83#3672411yescharacteristic, complemented, Sylow
941C22×#41—831no—
942C24×C4—831no—
943#538—1668no—
944C2×#127—831no—
945C2×#126—831no—
946C2×#126C2×D8311yescharacteristic, complemented
947C2×#124—831no—
948C2×#124—831no—
949C2×#124—831no—
950#525—1668no—
951C2×#123—831no—
952C2×#123—831no—
953C2×#123—831no—
954C2×#123—831no—
955C2×#123—831no—
956C2×#123—831no—
957C2×C22⋊Q8—831no—
958C2×C22⋊Q8—831no—
959C2×C22⋊Q8—831no—
960C2×C22⋊Q8—831no—
961C2×#121—831no—
962C2×#121—831no—
963C2×#121—831no—
964C2×#121—831no—
965C2×#121—831no—
966C2×#121—831no—
967C2×#121—831no—
968C2×#121—831no—
969C2×#120—831no—
970C2×#120—831no—
971C2×#120—831no—
972C2×#120—831no—
973C2×#120—831no—
974C2×#120—831no—
975C2×#120—831no—
976C2×#120—831no—
977C2×#120—831no—
978C2×#120—831no—
979C2×C4×D4—831no—
980C2×C4×D4—831no—
981C2×C4×D4—831no—
982C2×C4×D4—831no—
983C2×C4×D4—831no—
984C2×#117C2×D8311yescharacteristic, complemented
985C22×C22⋊C4—831no—
986#400—831no—
987#399—831no—
988#398—831no—
989#398—831no—
990#398C2×D8311yescharacteristic, complemented
991#397—831no—
992#397—831no—
993#397—831no—
994#396—831no—
995#396—831no—
996#396—831no—
997#396—831no—
998#396C2×D8311yescharacteristic, complemented
999#396C2×D8311yescharacteristic, complemented
1000#395—831no—
1001#394—831no—
1002#394—831no—
1003#394—831no—
1004#394—831no—
1005#394—831no—
1006#394—831no—
1007#394—831no—
1008#394—831no—
1009#394—831no—
1010#394—831no—
1011#394—831no—
1012#394—831no—
1013#394—831no—
1014#394—831no—
1015#394—831no—
1016#394—831no—
1017#394—831no—
1018#394—831no—
1019#394C2×D8311yescharacteristic
1020#393—831no—
1021#393—831no—
1022#393—831no—
1023#392—831no—
1024#392—831no—
1025#392—831no—
1026#392—831no—
1027#392—831no—
1028#392—831no—
1029#392—831no—
1030#392—831no—
1031#392—831no—
1032#392—831no—
1033#392—831no—
1034#391—831no—
1035#391—831no—
1036#390—831no—
1037#390—831no—
1038#390—831no—
1039#390—831no—
1040#390—831no—
1041#390—831no—
1042#390—831no—
1043#390—831no—
1044#390C2×D8311yescharacteristic
1045#389—831no—
1046#389—831no—
1047#389C2×D8311yescharacteristic, complemented
1048#388—831no—
1049#388—831no—
1050#388—831no—
1051#388—831no—
1052#388—831no—
1053#388—831no—
1054#388—831no—
1055#388—831no—
1056#388—831no—
1057#388—831no—
1058#388—831no—
1059#388C2×D8311yescharacteristic, complemented
1060#388C2×D8311yescharacteristic, complemented
1061#388C2×D8311yescharacteristic, complemented
1062#387—831no—
1063#387C2×D8311yescharacteristic, complemented
1064#386—831no—
1065#386—831no—
1066#386—831no—
1067#386—831no—
1068#386—831no—
1069#386—831no—
1070#386—831no—
1071#386—831no—
1072#386—831no—
1073#386—831no—
1074#386—831no—
1075#386—831no—
1076#386—831no—
1077#386—831no—
1078#386—831no—
1079#386C2×D8311yescharacteristic
1080#385—831no—
1081#385—831no—
1082#385—831no—
1083#385—831no—
1084#385—831no—
1085#385C2×D8311yescharacteristic, complemented
1086#381—831no—
1087#381—831no—
1088#381—831no—
1089#381—831no—
1090#380—831no—
1091#380—831no—
1092#380—831no—
1093#380—831no—
1094#379—831no—
1095#379—831no—
1096C4×C4⋊C4C2×D8311yescharacteristic, complemented
1097#376—831no—
1098C25—831no—
1099C25—831no—
1100C2×#41—3322no—
1101C2×#41—3322no—
1102C2×#41—1664no—
1103C22×Q8—831no—
1104C22×Q8—831no—
1105C22×D4—831no—
1106C22×D4—831no—
1107C22×D4—831no—
1108C22×D4—831no—
1109C22×D4—831no—
1110C22×D4—831no—
1111C22×D4—831no—
1112C22×D4—831no—
1113C22×D4—831no—
1114C22×D4—831no—
1115C22×D4—831no—
1116C22×D4—831no—
1117C22×D4—831no—
1118C22×D4—831no—
1119C22×D4—831no—
1120C22×D4—831no—
1121C22×D4—831no—
1122C22×D4—831no—
1123C22×D4—831no—
1124C22×D4—831no—
1125C22×D4—831no—
1126C22×D4C22×D8311yescharacteristic
1127C23×C4—3322no—
1128C23×C4—3322no—
1129C23×C4—831no—
1130C23×C4—831no—
1131C23×C4—831no—
1132C23×C4—831no—
1133C23×C4—831no—
1134C23×C4—831no—
1135C23×C4—831no—
1136C23×C4—831no—
1137C23×C4—831no—
1138C23×C4—1664no—
1139C23×C4C22×D8311yescharacteristic
1140#127—3322no—
1141#126—24no—
1142#126—1664no—
1143#124—3322no—
1144#124—1664no—
1145#124—1664no—
1146#123—3322no—
1147#123—3322no—
1148#123—1664no—
1149#123—1664no—
1150#123—1664no—
1151#123—1664no—
1152C22⋊Q8—3322no—
1153C22⋊Q8—1664no—
1154C22⋊Q8—1664no—
1155C22⋊Q8—1664no—
1156#121—3322no—
1157#121—3322no—
1158#121—3322no—
1159#121—1664no—
1160#121—1664no—
1161#121—1664no—
1162#121—1664no—
1163#121—1664no—
1164#120—3322no—
1165#120—3322no—
1166#120—3322no—
1167#120—3322no—
1168#120—3322no—
1169#120—3322no—
1170#120—1664no—
1171#120—1664no—
1172#120—1664no—
1173#120—1664no—
1174C4×D4—838no—
1175C4×D4—1664no—
1176C4×D4—1664no—
1177C4×D4—1664no—
1178C4×D4—1664no—
1179#117—24no—
1180C2×C4⋊C4—831no—
1181C2×C4⋊C4—831no—
1182C2×C4⋊C4—831no—
1183C2×C4⋊C4—831no—
1184C2×C4⋊C4—831no—
1185C2×C4⋊C4—831no—
1186C2×C4⋊C4—831no—
1187C2×C4⋊C4—831no—
1188C2×C4⋊C4—831no—
1189C2×C4⋊C4—831no—
1190C2×C4⋊C4—831no—
1191C2×C4⋊C4—831no—
1192C2×C4⋊C4—831no—
1193C2×C4⋊C4—831no—
1194C2×C4⋊C4C22×D8311yescharacteristic
1195C2×C4⋊C4C22×D8311yescharacteristic
1196C2×C4⋊C4C22×D8311yescharacteristic
1197C2×C4⋊C4C22×D8311yescharacteristic
1198C2×C4⋊C4C22×D8311yescharacteristic
1199C2×C4⋊C4C22×D8311yescharacteristic
1200C2×C4⋊C4C22×D8311yescharacteristic
1201C2×C4⋊C4C22×D8311yescharacteristic
1202C2×C4⋊C4C22×D8311yescharacteristic
1203C2×C4⋊C4C22×D8311yescharacteristic
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⋊C4—831no—
1216C2×C22⋊C4—831no—
1217C2×C22⋊C4—831no—
1218C2×C22⋊C4—831no—
1219C2×C22⋊C4—831no—
1220C2×C22⋊C4—831no—
1221C2×C22⋊C4—831no—
1222C2×C22⋊C4—831no—
1223C2×C22⋊C4—831no—
1224C2×C22⋊C4—831no—
1225C2×C22⋊C4—831no—
1226C2×C22⋊C4—831no—
1227C2×C22⋊C4—831no—
1228C2×C22⋊C4—831no—
1229C2×C22⋊C4—831no—
1230C2×C22⋊C4—831no—
1231C2×C22⋊C4—831no—
1232C2×C22⋊C4—831no—
1233C2×C22⋊C4—831no—
1234C2×C22⋊C4—831no—
1235C2×C22⋊C4—831no—
1236C2×C22⋊C4—831no—
1237C2×C22⋊C4—831no—
1238C2×C22⋊C4—831no—
1239C2×C22⋊C4—831no—
1240C2×C22⋊C4—831no—
1241C2×C22⋊C4—831no—
1242C2×C22⋊C4—831no—
1243C2×C22⋊C4—831no—
1244C2×C22⋊C4—831no—
1245C2×C22⋊C4—831no—
1246C2×C22⋊C4—831no—
1247C2×C22⋊C4—831no—
1248C2×C22⋊C4—831no—
1249C2×C22⋊C4—831no—
1250C2×C22⋊C4—831no—
1251C2×C22⋊C4—831no—
1252C2×C22⋊C4—831no—
1253C2×C22⋊C4—1664no—
1254C2×C22⋊C4C22×D8311yescharacteristic
1255C2×C22⋊C4C22×D8311yescharacteristic
1256C2×C22⋊C4C22×D8311yescharacteristic
1257C2×C22⋊C4C22×D8311yescharacteristic
1258C2×C22⋊C4C22×D8311yescharacteristic
1259C2×C22⋊C4C22×D8311yescharacteristic
1260C2×C22⋊C4C22×D8311yescharacteristic
1261C2×C22⋊C4C22×D8311yescharacteristic
1262C2×C22⋊C4C22×D8311yescharacteristic
1263C2×C22⋊C4C22×D8311yescharacteristic
1264C2×C22⋊C4C22×D8311yescharacteristic
1265C2×C42—831no—
1266C2×C42—831no—
1267C2×C42—831no—
1268C2×C42C22×D8311yescharacteristic
1269C2×C42C22×D8311yescharacteristic
1270C2×C42C22×D8311yescharacteristic
1271C2×C42C22×D8311yescharacteristic
1272#95—831no—
1273#95—831no—
1274#95—831no—
1275#95—831no—
1276#95—831no—
1277#95—831no—
1278#95—831no—
1279#95—831no—
1280#95—831no—
1281#95—831no—
1282#95—831no—
1283#95—831no—
1284#95—831no—
1285#95—831no—
1286#95—831no—
1287#95—831no—
1288#95—831no—
1289#95—831no—
1290#95—831no—
1291#95—831no—
1292#95C22×D8311yescharacteristic
1293#95C22×D8311yescharacteristic
1294#95C22×D8311yescharacteristic
1295#95C22×D8311yescharacteristic
1296#95C22×D8311yescharacteristic
1297#95C22×D8311yescharacteristic
1298#95C22×D8311yescharacteristic
1299#95C22×D8311yescharacteristic
1300C24—3321no—
1301C24—3321no—
1302C24—3321no—
1303C24—3321no—
1304C24—3321no—
1305C24—3321no—
1306C24—3321no—
1307C24—3321no—
1308C24—3321no—
1309C24—3321no—
1310C24—831no—
1311C24—831no—
1312C24—831no—
1313C24—831no—
1314C24—831no—
1315C24—831no—
1316C24—1662no—
1317C24—1662no—
1318C24—1662no—
1319C24—1662no—
1320C24C23×D8311yescharacteristic
1321C24C23×D8311yescharacteristic
1322#41—33216no—
1323C2×Q8—3321no—
1324C2×Q8—3321no—
1325C2×Q8—3321no—
1326C2×Q8—1662no—
1327C2×Q8—1662no—
1328C2×Q8—1662no—
1329C2×D4—22no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—3321no—
1333C2×D4—3321no—
1334C2×D4—3321no—
1335C2×D4—3321no—
1336C2×D4—3321no—
1337C2×D4—3321no—
1338C2×D4—3321no—
1339C2×D4—3321no—
1340C2×D4—3321no—
1341C2×D4—3321no—
1342C2×D4—3321no—
1343C2×D4—3321no—
1344C2×D4—3321no—
1345C2×D4—3321no—
1346C2×D4—3321no—
1347C2×D4—3321no—
1348C2×D4—3321no—
1349C2×D4—3321no—
1350C2×D4—3321no—
1351C2×D4—3321no—
1352C2×D4—3321no—
1353C2×D4—3321no—
1354C2×D4—3321no—
1355C2×D4—3321no—
1356C2×D4—3321no—
1357C2×D4—3321no—
1358C2×D4—3321no—
1359C2×D4—3321no—
1360C2×D4—3321no—
1361C2×D4—3321no—
1362C2×D4—3321no—
1363C2×D4—3321no—
1364C2×D4—3321no—
1365C2×D4—3321no—
1366C2×D4—3321no—
1367C2×D4—3321no—
1368C2×D4—3321no—
1369C2×D4—3321no—
1370C2×D4—3321no—
1371C2×D4—3321no—
1372C2×D4—834no—
1373C2×D4—1662no—
1374C2×D4—1662no—
1375C2×D4—1662no—
1376C2×D4—1662no—
1377C2×D4—1662no—
1378C2×D4—1662no—
1379C2×D4—1662no—
1380C2×D4—1662no—
1381C2×D4—1662no—
1382C2×D4—1662no—
1383C2×D4—1662no—
1384C2×D4—1662no—
1385C2×D4—1662no—
1386C2×D4—1662no—
1387C2×D4—1662no—
1388C2×D4—1662no—
1389C2×D4—1662no—
1390C2×D4—1662no—
1391C2×D4—1662no—
1392C2×D4—1662no—
1393C2×D4—1662no—
1394C2×D4—1662no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—33216no—
1399C22×C4—3321no—
1400C22×C4—3321no—
1401C22×C4—3321no—
1402C22×C4—3321no—
1403C22×C4—3321no—
1404C22×C4—3321no—
1405C22×C4—3321no—
1406C22×C4—3321no—
1407C22×C4—3321no—
1408C22×C4—3321no—
1409C22×C4—3321no—
1410C22×C4—3321no—
1411C22×C4—3321no—
1412C22×C4—3321no—
1413C22×C4—3321no—
1414C22×C4—834no—
1415C22×C4—834no—
1416C22×C4—831no—
1417C22×C4—831no—
1418C22×C4—831no—
1419C22×C4—831no—
1420C22×C4—831no—
1421C22×C4—831no—
1422C22×C4—831no—
1423C22×C4—831no—
1424C22×C4—831no—
1425C22×C4—831no—
1426C22×C4—1662no—
1427C22×C4—1662no—
1428C22×C4—1662no—
1429C22×C4—1662no—
1430C22×C4—1662no—
1431C22×C4—1662no—
1432C22×C4—1662no—
1433C22×C4—1662no—
1434C22×C4—1662no—
1435C22×C4—1662no—
1436C22×C4C23×D8311yescharacteristic
1437C22×C4C23×D8311yescharacteristic
1438C22×C4C23×D8311yescharacteristic
1439C22×C4C23×D8311yescharacteristic
1440C22×C4C23×D8311yescharacteristic
1441C22×C4C23×D8311yescharacteristic
1442C22×C4C23×D8311yescharacteristic
1443C22×C4C23×D8311yescharacteristic
1444C22×C4C23×D8311yescharacteristic
1445C22×C4C23×D8311yescharacteristic
1446C22×C4C23×D8311yescharacteristic
1447C22×C4C23×D8311yescharacteristic
1448C22×C4C23×D8311yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—3321no—
1460C4⋊C4—3321no—
1461C4⋊C4—3321no—
1462C4⋊C4—3321no—
1463C4⋊C4—3321no—
1464C4⋊C4—3321no—
1465C4⋊C4—3321no—
1466C4⋊C4—3321no—
1467C4⋊C4—834no—
1468C4⋊C4—1662no—
1469C4⋊C4—1662no—
1470C4⋊C4—1662no—
1471C4⋊C4—1662no—
1472C4⋊C4—1662no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—3321no—
1485C22⋊C4—3321no—
1486C22⋊C4—3321no—
1487C22⋊C4—3321no—
1488C22⋊C4—3321no—
1489C22⋊C4—3321no—
1490C22⋊C4—3321no—
1491C22⋊C4—3321no—
1492C22⋊C4—3321no—
1493C22⋊C4—3321no—
1494C22⋊C4—3321no—
1495C22⋊C4—3321no—
1496C22⋊C4—3321no—
1497C22⋊C4—3321no—
1498C22⋊C4—3321no—
1499C22⋊C4—3321no—
1500C22⋊C4—3321no—
1501C22⋊C4—3321no—
1502C22⋊C4—3321no—
1503C22⋊C4—3321no—
1504C22⋊C4—3321no—
1505C22⋊C4—3321no—
1506C22⋊C4—3321no—
1507C22⋊C4—3321no—
1508C22⋊C4—3321no—
1509C22⋊C4—3321no—
1510C22⋊C4—3321no—
1511C22⋊C4—834no—
1512C22⋊C4—834no—
1513C22⋊C4—1662no—
1514C22⋊C4—1662no—
1515C22⋊C4—1662no—
1516C22⋊C4—1662no—
1517C22⋊C4—1662no—
1518C22⋊C4—1662no—
1519C22⋊C4—1662no—
1520C22⋊C4—1662no—
1521C22⋊C4—1662no—
1522C22⋊C4—1662no—
1523C22⋊C4—1662no—
1524C22⋊C4—1662no—
1525C22⋊C4—1662no—
1526C22⋊C4—1662no—
1527C22⋊C4—1662no—
1528C22⋊C4—1662no—
1529C22⋊C4—1662no—
1530C22⋊C4—1662no—
1531C22⋊C4—1662no—
1532C22⋊C4—1662no—
1533C42—22no—
1534C42—41no—
1535C42—41no—
1536C42—3321no—
1537C42—3321no—
1538C42—1662no—
1539C42D4×D8314yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—3324no—
1554C23—3324no—
1555C23—3324no—
1556C23—3324no—
1557C23—3324no—
1558C23—3324no—
1559C23—3324no—
1560C23—3324no—
1561C23—832no—
1562C23—832no—
1563C23—832no—
1564C23—6642no—
1565C23—6642no—
1566C23—6642no—
1567C23—6642no—
1568C23—6642no—
1569C23—6642no—
1570C23—1661no—
1571C23—1661no—
1572C23—1661no—
1573C23—1661no—
1574C23—1661no—
1575C23—1661no—
1576C23—1661no—
1577C23—1661no—
1578C23—1661no—
1579C23—1661no—
1580C23—1661no—
1581C23—1661no—
1582C23—1661no—
1583C23—1661no—
1584C23—1661no—
1585C23—1661no—
1586C23—1661no—
1587C23—1661no—
1588C23—1661no—
1589C23—1661no—
1590C23—1661no—
1591C23—1661no—
1592C23—1661no—
1593C23—1661no—
1594C23—1661no—
1595C23—1661no—
1596C23—1661no—
1597C23—1661no—
1598C23—1661no—
1599C23—1661no—
1600C23—1661no—
1601C23—1661no—
1602C23—1661no—
1603C23—1661no—
1604C23—1661no—
1605C23—1661no—
1606C23—1661no—
1607C23—1661no—
1608C23—1661no—
1609C23#1458183812yes—
1610C23C24×D8311yescharacteristic
1611Q8—3324no—
1612Q8—6642no—
1613D4—82no—
1614D4—3324no—
1615D4—3324no—
1616D4—3324no—
1617D4—3324no—
1618D4—3324no—
1619D4—3324no—
1620D4—3324no—
1621D4—3324no—
1622D4—6642no—
1623D4—6642no—
1624D4—6642no—
1625D4—6642no—
1626D4—6642no—
1627D4—6642no—
1628D4—6642no—
1629D4—6642no—
1630D4—6642no—
1631D4—6642no—
1632D4—6642no—
1633D4—6642no—
1634D4—6642no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—3324no—
1672C2×C4—3324no—
1673C2×C4—3324no—
1674C2×C4—3324no—
1675C2×C4—3324no—
1676C2×C4—3324no—
1677C2×C4—3324no—
1678C2×C4—832no—
1679C2×C4—832no—
1680C2×C4—6642no—
1681C2×C4—6642no—
1682C2×C4—1661no—
1683C2×C4—1661no—
1684C2×C4—1661no—
1685C2×C4—1661no—
1686C2×C4—1661no—
1687C2×C4—1661no—
1688C2×C4—1661no—
1689C2×C4—1661no—
1690C2×C4—1661no—
1691C2×C4—1661no—
1692C2×C4—1661no—
1693C2×C4—1661no—
1694C2×C4—1661no—
1695C2×C4—1661no—
1696C2×C4—1661no—
1697C2×C4—1661no—
1698C2×C4—1661no—
1699C2×C4—1661no—
1700C2×C4—1661no—
1701C2×C4—1661no—
1702C2×C4—1661no—
1703C2×C4—1661no—
1704C2×C4—1661no—
1705C2×C4—1661no—
1706C2×C4—1661no—
1707C2×C4—1661no—
1708C2×C4—1661no—
1709C2×C4—1661no—
1710C2×C4C2×D4×D8312yes—
1711C2×C4C2×D4×D8312yes—
1712C2×C4C2×D4×D8312yes—
1713C2×C4#1458183812yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—33216no—
1729C22—3321no—
1730C22—3321no—
1731C22—3321no—
1732C22—3321no—
1733C22—3321no—
1734C22—3321no—
1735C22—3321no—
1736C22—3321no—
1737C22—3321no—
1738C22—3321no—
1739C22—3321no—
1740C22—3321no—
1741C22—3321no—
1742C22—3321no—
1743C22—3321no—
1744C22—3321no—
1745C22—3321no—
1746C22—3321no—
1747C22—3321no—
1748C22—3321no—
1749C22—3321no—
1750C22—3321no—
1751C22—3321no—
1752C22—3321no—
1753C22—3321no—
1754C22—3321no—
1755C22—3321no—
1756C22—3321no—
1757C22—3321no—
1758C22—3321no—
1759C22—3321no—
1760C22—3321no—
1761C22—3321no—
1762C22—6648no—
1763C22—1662no—
1764C22—1662no—
1765C22—1662no—
1766C22—1662no—
1767C22—1662no—
1768C22—1662no—
1769C22—1662no—
1770C22—1662no—
1771C22—1662no—
1772C22C22×D4×D8311yescharacteristic
1773C22H(5,𝔽2)×D8311yescharacteristic
1774C22C2×#1458183811yescharacteristic
1775C22C2×#1458183811yescharacteristic
1776C22#1912853711yescharacteristic
1777C22#1912853711yescharacteristic
1778C22#1912853811yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—3321no—
1793C4—3321no—
1794C4—3321no—
1795C4—3321no—
1796C4—3321no—
1797C4—3321no—
1798C4—3321no—
1799C4—3321no—
1800C4—1662no—
1801C4—1662no—
1802C2—42no—
1803C2—81no—
1804C2—3322no—
1805C2—3322no—
1806C2—3322no—
1807C2—6641no—
1808C2—6641no—
1809C2—6641no—
1810C2#2492079011yescharacteristic
1811C2#2492109611yescharacteristic
1812C2#2492112711yescharacteristic
1813C2#2492162911yescharacteristic
1814C2#2492165611yescharacteristic
1815C2#2492173911yescharacteristic
1816C2#2492178211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2601C2
hypercenter#2601D83
hypocenterC83#36724
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×#19128290C2semidirect
2. C2×#19128213C2semidirect
3. #24915758C2semidirect
4. #24915744C2semidirect
5. #24914135C2semidirect
6. #24914090C2semidirect
7. #24914056C2semidirect
8. #24914049C2semidirect
9. #24913881C2semidirect
10. #24913831C2semidirect
11. #24913820C2semidirect
12. #24913810C2semidirect
13. #24913796C2semidirect
14. #24913793C2semidirect
15. #24913793C2semidirect
16. #24913783C2semidirect
17. #24913711C2semidirect
18. #24913686C2semidirect
19. #24913678C2semidirect
20. #24913678C2semidirect
21. #24913354C2semidirect
22. #24913312C2semidirect
23. #24913150C2semidirect
24. #24913092C2semidirect
25. #24913052C2semidirect
26. #24912434C2semidirect
27. #24912357C2semidirect
28. #24910807C2semidirect
29. #24910780C2semidirect
30. #24910101C2semidirect
31. C83×#2601C2semidirect
33. C23×C4×D83C22semidirect
36. C2×#14581787C22semidirect
37. C2×#14581780C22semidirect
38. C2×#14581780C22semidirect
45. C2×#14581776C22semidirect
46. C2×#14581774C22semidirect
47. C2×#14581772C22semidirect
48. C2×#14581772C22semidirect
49. C2×#14581770C22semidirect
50. C2×#14581770C22semidirect
57. C2×#14581765C22semidirect
63. C2×#14581762C22semidirect
64. C2×#14581762C22semidirect
65. C2×#14581762C22semidirect
66. C2×#14581762C22semidirect
71. C2×C4×D332C22semidirect
72. C2×C4×D332C22semidirect
73. C2×#14581754C22semidirect
74. C2×C22⋊C4×D83C22semidirect
75. #19127643C22semidirect
76. #19127636C22semidirect
77. #19127635C22semidirect
78. #19127631C22semidirect
79. #19127630C22semidirect
80. #19127630C22semidirect
81. #19127626C22semidirect
82. #19127625C22semidirect
83. #19127624C22semidirect
84. #19127623C22semidirect
85. #19127623C22semidirect
86. #19127621C22semidirect
90. #19127619C22semidirect
92. #19127618C22semidirect
93. #19127618C22semidirect
94. #19127618C22semidirect
95. #19127618C22semidirect
96. #19127618C22semidirect
97. #19127618C22semidirect
98. #19127618C22semidirect
99. #19127618C22semidirect
100. #19127618C22semidirect
101. #19127617C22semidirect
105. #19127614C22semidirect
106. #19127613C22semidirect
107. #19127613C22semidirect
110. #19127611C22semidirect
111. #19127611C22semidirect
117. #19127610C22semidirect
119. #19127607C22semidirect
120. #19127605C22semidirect
121. #19127603C22semidirect
126. #19127601C22semidirect
127. #19127601C22semidirect
128. #19127601C22semidirect
129. #19127597C22semidirect
130. #19127597C22semidirect
131. #19127592C22semidirect
132. #19127592C22semidirect
133. #19127592C22semidirect
134. #19127592C22semidirect
135. #19127592C22semidirect
136. #19127592C22semidirect
137. #19127591C22semidirect
138. #19127591C22semidirect
139. #19127591C22semidirect
140. #19127591C22semidirect
141. #19127591C22semidirect
142. #19127588C22semidirect
144. #19127580C22semidirect
147. #19127579C22semidirect
148. #19127579C22semidirect
149. #19127579C22semidirect
150. #19127579C22semidirect
151. #19127579C22semidirect
152. #19127579C22semidirect
157. #19127577C22semidirect
158. #19127575C22semidirect
159. #19127573C22semidirect
160. #19127572C22semidirect
161. #19127572C22semidirect
162. #19127572C22semidirect
163. #19127563C22semidirect
164. #19127563C22semidirect
165. #19127563C22semidirect
166. #19127563C22semidirect
167. #19127560C22semidirect
168. #19127560C22semidirect
169. #19127560C22semidirect
170. #19127559C22semidirect
171. #19127556C22semidirect
172. #19127556C22semidirect
173. #19127547C22semidirect
174. C2×#126×C83C22semidirect
175. C2×#117×C83C22semidirect
176. #398×C83C22semidirect
177. #396×C83C22semidirect
178. #396×C83C22semidirect
181. #389×C83C22semidirect
182. #388×C83C22semidirect
183. #388×C83C22semidirect
184. #388×C83C22semidirect
185. #387×C83C22semidirect
187. #385×C83C22semidirect
188. C4×C4⋊C4×C83C22semidirect
265. C4×D332D4semidirect
933. #2601D83semidirect
940. C83#36724semidirect
946. C2×#126C2×D83semidirect
984. C2×#117C2×D83semidirect
990. #398C2×D83semidirect
998. #396C2×D83semidirect
999. #396C2×D83semidirect
1047. #389C2×D83semidirect
1059. #388C2×D83semidirect
1060. #388C2×D83semidirect
1061. #388C2×D83semidirect
1063. #387C2×D83semidirect
1085. #385C2×D83semidirect
1096. C4×C4⋊C4C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282902
C2×#191282132
#249157582
#249157442
#249141352
#249140902
#249140562
#249140492
#249138812
#249138312
#249138202
#249138102
#249137962
#249137932
#249137832
#249137112
#249136862
#249136782
#249133542
#249133122
#249131502
#249130922
#249130522
#249124342
#249123572
#249108072
#249107802
#249101012
C83×#26012
#3672483