Finite Group Databasebeta

← #35611797

Subgroups — #35611797

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×#19128283C211yesmaximal, characteristic, complemented
2C2×#19128262C211yesmaximal, characteristic, complemented
3#24915807C211yesmaximal, characteristic, complemented
4#24915761C211yesmaximal, characteristic, complemented
5#24914312C211yesmaximal, characteristic, complemented
6#24914309C211yesmaximal, characteristic, complemented
7#24914210C211yesmaximal, characteristic, complemented
8#24914205C211yesmaximal, characteristic, complemented
9#24914154C211yesmaximal, characteristic, complemented
10#24914151C211yesmaximal, characteristic, complemented
11#24914103C211yesmaximal, characteristic, complemented
12#24913852C211yesmaximal, characteristic, complemented
13#24913851C211yesmaximal, characteristic, complemented
14#24913790C211yesmaximal, characteristic, complemented
15#24913789C211yesmaximal, characteristic, complemented
16#24913691C211yesmaximal, characteristic, complemented
17#24913688C211yesmaximal, characteristic, complemented
18#24913675C211yesmaximal, characteristic, complemented
19#24913674C211yesmaximal, characteristic, complemented
20#24913564C211yesmaximal, characteristic, complemented
21#24913395C211yesmaximal, characteristic, complemented
22#24912422C211yesmaximal, characteristic, complemented
23#24912420C211yesmaximal, characteristic, complemented
24#24910905C211yesmaximal, characteristic, complemented
25#24910896C211yesmaximal, characteristic, complemented
26#24910840C211yesmaximal, characteristic, complemented
27#24910840C211yesmaximal, characteristic, complemented
28#24910830C211yesmaximal, characteristic, complemented
29#24910830C211yesmaximal, characteristic, complemented
30#388×D83C211yesmaximal, characteristic, complemented
31C83×#2703C211yesmaximal, characteristic, complemented
32C23×D332C2211yescharacteristic
33C22×D4×D83C2211yescharacteristic
34#19128283—28no—
35#19128262—28no—
36C2×#14581788C2211yescharacteristic, complemented
37C2×#14581787C2211yescharacteristic, complemented
38C2×#14581785C2211yescharacteristic, complemented
39C2×#14581779C2211yescharacteristic, complemented
40C2×#14581778C2211yescharacteristic, complemented
41C2×#14581778C2211yescharacteristic, complemented
42C2×#14581777C2211yescharacteristic
43C2×#14581777C2211yescharacteristic
44C2×#14581775C2211yescharacteristic
45C2×#14581775C2211yescharacteristic, complemented
46C2×#14581773C2211yescharacteristic, complemented
47C2×#14581770C2211yescharacteristic, complemented
48C2×#14581767C2211yescharacteristic
49C2×#14581767C2211yescharacteristic
50C2×#14581766C2211yescharacteristic, complemented
51C2×#14581765C2211yescharacteristic
52C2×#14581765C2211yescharacteristic
53C2×#14581765C2211yescharacteristic, complemented
54C2×#14581765C2211yescharacteristic, complemented
55C2×#14581765C2211yescharacteristic, complemented
56C2×#14581765C2211yescharacteristic, complemented
57C2×#14581765C2211yescharacteristic, complemented
58C2×#14581765C2211yescharacteristic, complemented
59C2×#14581764C2211yescharacteristic, complemented
60C2×#14581764C2211yescharacteristic, complemented
61C2×#14581763C2211yescharacteristic, complemented
62C2×#14581763C2211yescharacteristic, complemented
63C2×#14581763C2211yescharacteristic, complemented
64C2×#14581762C2211yescharacteristic
65C2×#14581762C2211yescharacteristic
66C2×#14581762C2211yescharacteristic
67C2×#14581760C2211yescharacteristic
68C2×#14581760C2211yescharacteristic
69C2×#14581760C2211yescharacteristic
70C2×#14581760C2211yescharacteristic, complemented
71C2×#14581760C2211yescharacteristic, complemented
72C2×#14581760C2211yescharacteristic, complemented
73C2×#14581760C2211yescharacteristic, complemented
74C2×C4×C22⋊D83C2211yescharacteristic, complemented
75C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
76C2×C4⋊C4×D83C2211yescharacteristic, complemented
77C2×C22⋊C4×D83C2211yescharacteristic
78C2×C22⋊C4×D83C2211yescharacteristic
79C2×C22⋊C4×D83C2211yescharacteristic
80C2×C42×D83C2211yescharacteristic, complemented
81#19127639C2211yescharacteristic, complemented
82#19127638C2211yescharacteristic, complemented
83#19127637C2211yescharacteristic, complemented
84#19127637C2211yescharacteristic, complemented
85#19127637C2211yescharacteristic, complemented
86#19127635C2211yescharacteristic, complemented
87#19127632C2211yescharacteristic, complemented
88#19127630C2211yescharacteristic, complemented
89#19127630C2211yescharacteristic, complemented
90#19127629C2211yescharacteristic, complemented
91#19127625C2211yescharacteristic, complemented
92#19127625C2211yescharacteristic, complemented
93#19127624C2211yescharacteristic, complemented
94#19127623C2211yescharacteristic, complemented
95#19127619C2211yescharacteristic
96#19127619C2211yescharacteristic
97#19127619C2211yescharacteristic
98#19127619C2211yescharacteristic
99#19127619C2211yescharacteristic, complemented
100#19127619C2211yescharacteristic, complemented
101#19127618C2211yescharacteristic, complemented
102#19127617C2211yescharacteristic
103#19127617C2211yescharacteristic
104#19127617C2211yescharacteristic, complemented
105#19127616C2211yescharacteristic, complemented
106#19127616C2211yescharacteristic, complemented
107#19127616C2211yescharacteristic, complemented
108#19127615C2211yescharacteristic
109#19127615C2211yescharacteristic
110#19127614C2211yescharacteristic, complemented
111#19127614C2211yescharacteristic, complemented
112#19127610C2211yescharacteristic
113#19127610C2211yescharacteristic
114#19127610C2211yescharacteristic
115#19127610C2211yescharacteristic
116#19127610C2211yescharacteristic, complemented
117#19127609C2211yescharacteristic
118#19127609C2211yescharacteristic
119#19127609C2211yescharacteristic, complemented
120#19127609C2211yescharacteristic, complemented
121#19127609C2211yescharacteristic, complemented
122#19127609C2211yescharacteristic, complemented
123#19127605C2211yescharacteristic, complemented
124#19127603C2211yescharacteristic, complemented
125#19127602C2211yescharacteristic, complemented
126#19127601C2211yescharacteristic, complemented
127#19127601C2211yescharacteristic, complemented
128#19127601C2211yescharacteristic, complemented
129#19127601C2211yescharacteristic, complemented
130#19127601C2211yescharacteristic, complemented
131#19127601C2211yescharacteristic, complemented
132#19127598C2211yescharacteristic, complemented
133#19127597C2211yescharacteristic, complemented
134#19127595C2211yescharacteristic, complemented
135#19127595C2211yescharacteristic, complemented
136#19127594C2211yescharacteristic, complemented
137#19127593C2211yescharacteristic, complemented
138#19127593C2211yescharacteristic, complemented
139#19127592C2211yescharacteristic, complemented
140#19127592C2211yescharacteristic, complemented
141#19127591C2211yescharacteristic, complemented
142#19127591C2211yescharacteristic, complemented
143#19127590C2211yescharacteristic, complemented
144#19127590C2211yescharacteristic, complemented
145#19127590C2211yescharacteristic, complemented
146#19127589C2211yescharacteristic, complemented
147#19127589C2211yescharacteristic, complemented
148#19127580C2211yescharacteristic, complemented
149#19127579C2211yescharacteristic, complemented
150#19127579C2211yescharacteristic, complemented
151#19127579C2211yescharacteristic, complemented
152#19127579C2211yescharacteristic, complemented
153#19127579C2211yescharacteristic, complemented
154#19127579C2211yescharacteristic, complemented
155#19127578C2211yescharacteristic, complemented
156#19127578C2211yescharacteristic, complemented
157#19127577C2211yescharacteristic, complemented
158#19127577C2211yescharacteristic, complemented
159#19127577C2211yescharacteristic, complemented
160#19127577C2211yescharacteristic, complemented
161#19127575C2211yescharacteristic, complemented
162#19127575C2211yescharacteristic, complemented
163#19127574C2211yescharacteristic, complemented
164#19127574C2211yescharacteristic, complemented
165#19127570C2211yescharacteristic, complemented
166#19127565C2211yescharacteristic, complemented
167#19127559C2211yescharacteristic, complemented
168#19127556C2211yescharacteristic, complemented
169#19127556C2211yescharacteristic, complemented
170#19127556C2211yescharacteristic, complemented
171#19127556C2211yescharacteristic, complemented
172#95×D83C2211yescharacteristic, complemented
173#95×D83C2211yescharacteristic, complemented
174C2×#123×C83C2211yescharacteristic
175C2×#121×C83C2211yescharacteristic, complemented
176#400×C83C2211yescharacteristic, complemented
177#397×C83C2211yescharacteristic, complemented
178#394×C83C2211yescharacteristic, complemented
179#392×C83C2211yescharacteristic
180#392×C83C2211yescharacteristic
181#392×C83C2211yescharacteristic, complemented
182#390×C83C2211yescharacteristic, complemented
183#388×C83C2211yescharacteristic, complemented
184#388×C83C2211yescharacteristic, complemented
185#386×C83C2211yescharacteristic, complemented
186#386×C83C2211yescharacteristic, complemented
187#386×C83C2211yescharacteristic, complemented
188#380×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C24×D83C2311yescharacteristic
192C22×Dic166C2311yescharacteristic
193C22×D332—24no—
194C22×D332—42no—
195C22×D332—42no—
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×D332C2311yescharacteristic
200C22×D332C2311yescharacteristic
201C22×D332C2311yescharacteristic
202C22×D332C2311yescharacteristic
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
217C2×D4×D83—24no—
218C2×D4×D83—42no—
219C2×D4×D83—42no—
220C23×Dic83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224C22×C4×D83C2311yescharacteristic
225C22×C4×D83C2311yescharacteristic
226C22×C4×D83C2311yescharacteristic
227C22×C4×D83C2311yescharacteristic
228#14581788—42no—
229#14581787—24no—
230#14581785—24no—
231#14581779—24no—
232#14581778—24no—
233#14581778—42no—
234#14581777—24no—
235#14581777—24no—
236#14581775—24no—
237#14581775—24no—
238#14581773—24no—
239#14581770—24no—
240#14581767—24no—
241#14581767—24no—
242#14581766—42no—
243#14581765—24no—
244#14581765—24no—
245#14581765—42no—
246#14581765—42no—
247#14581765—42no—
248#14581765—42no—
249#14581765—42no—
250#14581765—42no—
251#14581764—24no—
252#14581764—42no—
253#14581763—24no—
254#14581763—42no—
255#14581763—42no—
256#14581762—24no—
257#14581762—24no—
258#14581762—24no—
259#14581760—24no—
260#14581760—24no—
261#14581760—24no—
262#14581760—42no—
263#14581760—42no—
264#14581760—42no—
265#14581760—42no—
266C4×C22⋊D83—24no—
267(C22⋊D83)⋊C4—24no—
268C2×C4⋊Dic83C2311yescharacteristic
269C2×C4⋊Dic83C2311yescharacteristic
270C2×C4⋊Dic83C2311yescharacteristic
271C2×C4⋊Dic83C2311yescharacteristic
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×Dic83⋊C4C2311yescharacteristic
282C2×Dic83⋊C4C2311yescharacteristic
283C2×Dic83⋊C4C2311yescharacteristic
284C2×Dic83⋊C4C2311yescharacteristic
285C2×Dic83⋊C4C2311yescharacteristic
286C4⋊C4×D83—42no—
287C2×C22⋊Dic83C2311yescharacteristic
288C2×C22⋊Dic83C2311yescharacteristic
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×(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
330C2×(C2×D83)⋊C4C2311yescharacteristic
331C2×(C2×D83)⋊C4C2311yescharacteristic
332C2×(C2×D83)⋊C4C2311yescharacteristic
333C2×(C2×D83)⋊C4C2311yescharacteristic
334C2×(C2×D83)⋊C4C2311yescharacteristic
335C22⋊C4×D83—42no—
336C22⋊C4×D83—42no—
337C22⋊C4×D83D418yescomplemented
338C2×C4×Dic83C2311yescharacteristic
339C2×C4×Dic83C2311yescharacteristic
340C2×C4×Dic83C2311yescharacteristic
341C2×C4×Dic83C2311yescharacteristic
342C2×C4×Dic83C2311yescharacteristic
343C42×D83—42no—
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
360C22×D4×C83C2311yescharacteristic
361C22×D4×C83C2311yescharacteristic
362C22×D4×C83C2311yescharacteristic
363C22×D4×C83C2311yescharacteristic
364C22×D4×C83C2311yescharacteristic
365C22×D4×C83C2311yescharacteristic
366C23×C4×C83C2311yescharacteristic
367C23×C4×C83C2311yescharacteristic
368#123×C83—24no—
369#121×C83—24no—
370C2×C4⋊C4×C83C2311yescharacteristic
371C2×C4⋊C4×C83C2311yescharacteristic
372C2×C4⋊C4×C83C2311yescharacteristic
373C2×C4⋊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×C42×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391#95×C83C2311yescharacteristic
392#95×C83C2311yescharacteristic
393#95×C83C2311yescharacteristic
394#95×C83C2311yescharacteristic
395#95×C83C2311yescharacteristic
396#95×C83C2311yescharacteristic
397C23×D83—22no—
398C23×D83—22no—
399C23×D83—22no—
400C23×D83—22no—
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×D83—41no—
411C23×D83—41no—
412C23×D83—41no—
413C23×D83—41no—
414C23×D83—41no—
415C23×D83—41no—
416C23×D83—41no—
417C23×D83C2×D414yes—
418C23×D83C2411yescharacteristic
419C23×D83C2411yescharacteristic
420C23×D83C2411yescharacteristic
421C23×D83C2411yescharacteristic
422C23×D83C2411yescharacteristic
423C2×Dic166—22no—
424C2×Dic166—41no—
425C2×Dic166—41no—
426C2×D332—22no—
427C2×D332—22no—
428C2×D332—22no—
429C2×D332—22no—
430C2×D332—22no—
431C2×D332—22no—
432C2×D332—22no—
433C2×D332—22no—
434C2×D332—22no—
435C2×D332—22no—
436C2×D332—22no—
437C2×D332—22no—
438C2×D332—22no—
439C2×D332—41no—
440C2×D332—41no—
441C2×D332—41no—
442C2×D332—41no—
443C2×D332—416no—
444C2×D332—41no—
445C2×D332—41no—
446C2×D332—41no—
447C2×D332—41no—
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—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—
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—
490D4×D83—416no—
491C22×Dic83—22no—
492C22×Dic83—41no—
493C22×Dic83—41no—
494C22×Dic83C2411yescharacteristic
495C22×Dic83C2411yescharacteristic
496C22×Dic83C2411yescharacteristic
497C22×Dic83C2411yescharacteristic
498C22×Dic83C2411yescharacteristic
499C22×Dic83C2411yescharacteristic
500C22×Dic83C2411yescharacteristic
501C22×Dic83C2411yescharacteristic
502C22×Dic83C2411yescharacteristic
503C22×Dic83C2411yescharacteristic
504C22×Dic83C2411yescharacteristic
505C2×C4×D83—22no—
506C2×C4×D83—22no—
507C2×C4×D83—22no—
508C2×C4×D83—22no—
509C2×C4×D83—22no—
510C2×C4×D83—22no—
511C2×C4×D83—22no—
512C2×C4×D83—41no—
513C2×C4×D83—41no—
514C2×C4×D83—41no—
515C2×C4×D83—41no—
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×D83C2×D414yes—
525C2×C4×D83C2×D414yes—
526C4⋊Dic83—22no—
527C4⋊Dic83—22no—
528C4⋊Dic83—41no—
529C4⋊Dic83—41no—
530Dic83⋊C4—22no—
531Dic83⋊C4—22no—
532Dic83⋊C4—22no—
533Dic83⋊C4—22no—
534Dic83⋊C4—22no—
535Dic83⋊C4—22no—
536Dic83⋊C4—22no—
537Dic83⋊C4—41no—
538Dic83⋊C4—41no—
539Dic83⋊C4—41no—
540Dic83⋊C4—41no—
541Dic83⋊C4—41no—
542Dic83⋊C4—41no—
543Dic83⋊C4—41no—
544C22⋊Dic83—22no—
545C22⋊Dic83—22no—
546C22⋊Dic83—22no—
547C22⋊Dic83—22no—
548C22⋊Dic83—22no—
549C22⋊Dic83—22no—
550C22⋊Dic83—22no—
551C22⋊Dic83—22no—
552C22⋊Dic83—22no—
553C22⋊Dic83—41no—
554C22⋊Dic83—41no—
555C22⋊Dic83—41no—
556C22⋊Dic83—41no—
557C22⋊Dic83C2×D414yes—
558(C2×D83)⋊C4—22no—
559(C2×D83)⋊C4—22no—
560(C2×D83)⋊C4—22no—
561(C2×D83)⋊C4—22no—
562(C2×D83)⋊C4—22no—
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—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)⋊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)⋊C4C2×D414yes—
591(C2×D83)⋊C4C2×D414yes—
592C4×Dic83—22no—
593C4×Dic83—22no—
594C4×Dic83—22no—
595C4×Dic83—22no—
596C4×Dic83—41no—
597C24×C83C2411yescharacteristic
598C24×C83C2411yescharacteristic
599C24×C83C2411yescharacteristic
600C24×C83C2411yescharacteristic
601C2×D4×C83—22no—
602C2×D4×C83—22no—
603C2×D4×C83—22no—
604C2×D4×C83—22no—
605C2×D4×C83—41no—
606C2×D4×C83—41no—
607C2×D4×C83—41no—
608C2×D4×C83—41no—
609C2×D4×C83—41no—
610C2×D4×C83—41no—
611C2×D4×C83—41no—
612C2×D4×C83—41no—
613C2×D4×C83—41no—
614C2×D4×C83—41no—
615C2×D4×C83—41no—
616C2×D4×C83—41no—
617C2×D4×C83—41no—
618C2×D4×C83—41no—
619C22×C4×C83—22no—
620C22×C4×C83—22no—
621C22×C4×C83—41no—
622C22×C4×C83—41no—
623C22×C4×C83—41no—
624C22×C4×C83—41no—
625C22×C4×C83C2411yescharacteristic
626C22×C4×C83C2411yescharacteristic
627C22×C4×C83C2411yescharacteristic
628C22×C4×C83C2411yescharacteristic
629C22×C4×C83C2411yescharacteristic
630C22×C4×C83C2411yescharacteristic
631C22×C4×C83C2411yescharacteristic
632C22×C4×C83C2411yescharacteristic
633C22×C4×C83C2411yescharacteristic
634C22×C4×C83C2411yescharacteristic
635C22×C4×C83C2411yescharacteristic
636C4⋊C4×C83—22no—
637C4⋊C4×C83—22no—
638C4⋊C4×C83—22no—
639C4⋊C4×C83—41no—
640C22⋊C4×C83—22no—
641C22⋊C4×C83—22no—
642C22⋊C4×C83—22no—
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×C83—41no—
653C22⋊C4×C83C2×D414yes—
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×C83C22×D412yes—
683C23×C83C2511yescharacteristic
684C22×D83—21no—
685C22×D83—21no—
686C22×D83—21no—
687C22×D83—21no—
688C22×D83—21no—
689C22×D83—21no—
690C22×D83—21no—
691C22×D83—21no—
692C22×D83—21no—
693C22×D83—21no—
694C22×D83—28no—
695C22×D83—21no—
696C22×D83—21no—
697C22×D83—21no—
698C22×D83—21no—
699C22×D83—21no—
700C22×D83—21no—
701C22×D83—21no—
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—44no—
717C22×D83—44no—
718C22×D83—44no—
719C22×D83—44no—
720C22×D83—82no—
721C22×D83—82no—
722C22×D83—82no—
723C22×D83—82no—
724C22×D83—82no—
725C22×D83—82no—
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—
743D4×C83—82no—
744D4×C83—82no—
745D4×C83—82no—
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×C83—21no—
775C2×C4×C83—21no—
776C2×C4×C83—21no—
777C2×C4×C83—44no—
778C2×C4×C83—82no—
779C2×C4×C83C22×D412yes—
780C2×C4×C83C22×D412yes—
781C22⋊D83—44no—
782C22⋊D83—44no—
783C22⋊D83—44no—
784C22⋊D83—44no—
785C22⋊D83—82no—
786C22⋊D83—82no—
787C22⋊D83—82no—
788C22⋊D83—82no—
789C22⋊D83—82no—
790C22⋊D83—82no—
791C22⋊D83—82no—
792C22⋊D83—82no—
793C22⋊D83—82no—
794C22⋊D83—82no—
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—21no—
822C2×Dic83—21no—
823C2×Dic83—21no—
824C2×Dic83—82no—
825C2×Dic83C22×D412yes—
826C2×Dic83C22×D412yes—
827C2×Dic83H(5,𝔽2)12yes—
828C2×Dic83H(5,𝔽2)12yes—
829D332—44no—
830D332—44no—
831D332—44no—
832D332—44no—
833D332—44no—
834D332—82no—
835D332—82no—
836C4×D83—44no—
837C4×D83—44no—
838C4×D83—44no—
839C4×D83—44no—
840C4×D83—44no—
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×C83C23×D411yescharacteristic
873C22×C83C2×H(5,𝔽2)11yescharacteristic
874C22×C83C2×H(5,𝔽2)11yescharacteristic
875C22×C83C2×H(5,𝔽2)11yescharacteristic
876C22×C83C2×H(5,𝔽2)11yescharacteristic
877C22×C83#58511yescharacteristic
878C22×C83#58511yescharacteristic
879C2×D83—22no—
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—41no—
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—88no—
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#2703D8311yescharacteristic, complemented
968#2685—831no—
969#2685—831no—
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×#126—831no—
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×#123C2×D8311yescharacteristic
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×#121C2×D8311yescharacteristic, complemented
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×#120—831no—
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#400C2×D8311yescharacteristic, complemented
1041#399—831no—
1042#399—831no—
1043#399—831no—
1044#399—831no—
1045#398—831no—
1046#398—831no—
1047#397—831no—
1048#397—831no—
1049#397—831no—
1050#397C2×D8311yescharacteristic, complemented
1051#396—831no—
1052#396—831no—
1053#396—831no—
1054#396—831no—
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#394—831no—
1068#394—831no—
1069#394—831no—
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#392C2×D8311yescharacteristic
1085#392C2×D8311yescharacteristic
1086#392C2×D8311yescharacteristic, complemented
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#390—831no—
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#388—831no—
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#386C2×D8311yescharacteristic, complemented
1129#386C2×D8311yescharacteristic, complemented
1130#386C2×D8311yescharacteristic, complemented
1131#385—831no—
1132#385—831no—
1133#385—831no—
1134#385—831no—
1135#384—831no—
1136#382—831no—
1137#380—831no—
1138#380C2×D8311yescharacteristic, complemented
1139#379—831no—
1140#379—831no—
1141#379—831no—
1142#379—831no—
1143C2×#95—831no—
1144C2×#95—831no—
1145C25—831no—
1146C25—831no—
1147C25—831no—
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—1664no—
1175C22×D4—1664no—
1176C22×D4C22×D8311yescharacteristic
1177C22×D4C22×D8311yescharacteristic
1178C22×D4C22×D8311yescharacteristic
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×C4C22×D8311yescharacteristic
1191C23×C4C22×D8311yescharacteristic
1192#127—3322no—
1193#126—1664no—
1194#126—1664no—
1195#124—3322no—
1196#124—1664no—
1197#124—1664no—
1198#123—24no—
1199#123—1664no—
1200#123—1664no—
1201#123—1664no—
1202#123—1664no—
1203#123—1664no—
1204C22⋊Q8—1664no—
1205#121—24no—
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—3322no—
1216#121—1664no—
1217#121—1664no—
1218#121—1664no—
1219#121—1664no—
1220#121—1664no—
1221#121—1664no—
1222#120—3322no—
1223#120—3322no—
1224#120—3322no—
1225#120—3322no—
1226#120—1664no—
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⋊C4—831no—
1252C2×C4⋊C4—831no—
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—831no—
1281C2×C22⋊C4—831no—
1282C2×C22⋊C4—831no—
1283C2×C22⋊C4—831no—
1284C2×C22⋊C4—838no—
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⋊C4—831no—
1304C2×C22⋊C4—831no—
1305C2×C22⋊C4—831no—
1306C2×C22⋊C4—831no—
1307C2×C22⋊C4—831no—
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×C42—831no—
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#95C22×D8311yescharacteristic
1346#95C22×D8311yescharacteristic
1347#95C22×D8311yescharacteristic
1348#95C22×D8311yescharacteristic
1349#95C22×D8311yescharacteristic
1350#95C22×D8311yescharacteristic
1351#95C22×D8311yescharacteristic
1352#95C22×D8311yescharacteristic
1353C24—3321no—
1354C24—3321no—
1355C24—3321no—
1356C24—3321no—
1357C24—3321no—
1358C24—3321no—
1359C24—3321no—
1360C24—3321no—
1361C24—3321no—
1362C24—3321no—
1363C24—3321no—
1364C24—3321no—
1365C24—3321no—
1366C24—3321no—
1367C24—3321no—
1368C24—3321no—
1369C24—834no—
1370C24—831no—
1371C24—831no—
1372C24—831no—
1373C24—831no—
1374C24—831no—
1375C24—1662no—
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—22no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—3321no—
1405C2×D4—3321no—
1406C2×D4—3321no—
1407C2×D4—3321no—
1408C2×D4—3321no—
1409C2×D4—3321no—
1410C2×D4—3321no—
1411C2×D4—3321no—
1412C2×D4—33216no—
1413C2×D4—33216no—
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—3321no—
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—22no—
1470C22×C4—22no—
1471C22×C4—41no—
1472C22×C4—41no—
1473C22×C4—41no—
1474C22×C4—41no—
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—3321no—
1488C22×C4—3321no—
1489C22×C4—834no—
1490C22×C4—834no—
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—831no—
1501C22×C4—831no—
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—3321no—
1526C4⋊C4—3321no—
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—41no—
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—3321no—
1557C22⋊C4—3321no—
1558C22⋊C4—3321no—
1559C22⋊C4—3321no—
1560C22⋊C4—3321no—
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—834no—
1579C22⋊C4—834no—
1580C22⋊C4—834no—
1581C22⋊C4—1662no—
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—41no—
1606C42—3321no—
1607C42—1662no—
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—3324no—
1639C23—3324no—
1640C23—3324no—
1641C23—3324no—
1642C23—832no—
1643C23—832no—
1644C23—832no—
1645C23—832no—
1646C23—6642no—
1647C23—6642no—
1648C23—6642no—
1649C23—6642no—
1650C23—6642no—
1651C23—6642no—
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—82no—
1701D4—82no—
1702D4—82no—
1703D4—3324no—
1704D4—3324no—
1705D4—3324no—
1706D4—3324no—
1707D4—3324no—
1708D4—3324no—
1709D4—3324no—
1710D4—3324no—
1711D4—3324no—
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—44no—
1756C2×C4—82no—
1757C2×C4—3324no—
1758C2×C4—3324no—
1759C2×C4—3324no—
1760C2×C4—3324no—
1761C2×C4—3324no—
1762C2×C4—832no—
1763C2×C4—832no—
1764C2×C4—832no—
1765C2×C4—832no—
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—3321no—
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—834no—
1854C22—6648no—
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#2492164611yescharacteristic
1908C2#2492169711yescharacteristic
1909C2#2492197411yescharacteristic
1910C2#2492200211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2703C2
hypercenter#2703D83
hypocenterC83#36739
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2703

Complements

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

NH ≅ G/Ntype
1. C2×#19128283C2semidirect
2. C2×#19128262C2semidirect
3. #24915807C2semidirect
4. #24915761C2semidirect
5. #24914312C2semidirect
6. #24914309C2semidirect
7. #24914210C2semidirect
8. #24914205C2semidirect
9. #24914154C2semidirect
10. #24914151C2semidirect
11. #24914103C2semidirect
12. #24913852C2semidirect
13. #24913851C2semidirect
14. #24913790C2semidirect
15. #24913789C2semidirect
16. #24913691C2semidirect
17. #24913688C2semidirect
18. #24913675C2semidirect
19. #24913674C2semidirect
20. #24913564C2semidirect
21. #24913395C2semidirect
22. #24912422C2semidirect
23. #24912420C2semidirect
24. #24910905C2semidirect
25. #24910896C2semidirect
26. #24910840C2semidirect
27. #24910840C2semidirect
28. #24910830C2semidirect
29. #24910830C2semidirect
30. #388×D83C2semidirect
31. C83×#2703C2semidirect
36. C2×#14581788C22semidirect
37. C2×#14581787C22semidirect
38. C2×#14581785C22semidirect
39. C2×#14581779C22semidirect
40. C2×#14581778C22semidirect
41. C2×#14581778C22semidirect
45. C2×#14581775C22semidirect
46. C2×#14581773C22semidirect
47. C2×#14581770C22semidirect
50. C2×#14581766C22semidirect
53. C2×#14581765C22semidirect
54. C2×#14581765C22semidirect
55. C2×#14581765C22semidirect
56. C2×#14581765C22semidirect
57. C2×#14581765C22semidirect
58. C2×#14581765C22semidirect
59. C2×#14581764C22semidirect
60. C2×#14581764C22semidirect
61. C2×#14581763C22semidirect
62. C2×#14581763C22semidirect
63. C2×#14581763C22semidirect
70. C2×#14581760C22semidirect
71. C2×#14581760C22semidirect
72. C2×#14581760C22semidirect
73. C2×#14581760C22semidirect
74. C2×C4×C22⋊D83C22semidirect
75. C2×(C22⋊D83)⋊C4C22semidirect
76. C2×C4⋊C4×D83C22semidirect
80. C2×C42×D83C22semidirect
81. #19127639C22semidirect
82. #19127638C22semidirect
83. #19127637C22semidirect
84. #19127637C22semidirect
85. #19127637C22semidirect
86. #19127635C22semidirect
87. #19127632C22semidirect
88. #19127630C22semidirect
89. #19127630C22semidirect
90. #19127629C22semidirect
91. #19127625C22semidirect
92. #19127625C22semidirect
93. #19127624C22semidirect
94. #19127623C22semidirect
99. #19127619C22semidirect
100. #19127619C22semidirect
101. #19127618C22semidirect
104. #19127617C22semidirect
105. #19127616C22semidirect
106. #19127616C22semidirect
107. #19127616C22semidirect
110. #19127614C22semidirect
111. #19127614C22semidirect
116. #19127610C22semidirect
119. #19127609C22semidirect
120. #19127609C22semidirect
121. #19127609C22semidirect
122. #19127609C22semidirect
123. #19127605C22semidirect
124. #19127603C22semidirect
125. #19127602C22semidirect
126. #19127601C22semidirect
127. #19127601C22semidirect
128. #19127601C22semidirect
129. #19127601C22semidirect
130. #19127601C22semidirect
131. #19127601C22semidirect
132. #19127598C22semidirect
133. #19127597C22semidirect
134. #19127595C22semidirect
135. #19127595C22semidirect
136. #19127594C22semidirect
137. #19127593C22semidirect
138. #19127593C22semidirect
139. #19127592C22semidirect
140. #19127592C22semidirect
141. #19127591C22semidirect
142. #19127591C22semidirect
143. #19127590C22semidirect
144. #19127590C22semidirect
145. #19127590C22semidirect
146. #19127589C22semidirect
147. #19127589C22semidirect
148. #19127580C22semidirect
149. #19127579C22semidirect
150. #19127579C22semidirect
151. #19127579C22semidirect
152. #19127579C22semidirect
153. #19127579C22semidirect
154. #19127579C22semidirect
155. #19127578C22semidirect
156. #19127578C22semidirect
157. #19127577C22semidirect
158. #19127577C22semidirect
159. #19127577C22semidirect
160. #19127577C22semidirect
161. #19127575C22semidirect
162. #19127575C22semidirect
163. #19127574C22semidirect
164. #19127574C22semidirect
165. #19127570C22semidirect
166. #19127565C22semidirect
167. #19127559C22semidirect
168. #19127556C22semidirect
169. #19127556C22semidirect
170. #19127556C22semidirect
171. #19127556C22semidirect
172. #95×D83C22semidirect
173. #95×D83C22semidirect
175. C2×#121×C83C22semidirect
176. #400×C83C22semidirect
177. #397×C83C22semidirect
178. #394×C83C22semidirect
181. #392×C83C22semidirect
182. #390×C83C22semidirect
183. #388×C83C22semidirect
184. #388×C83C22semidirect
185. #386×C83C22semidirect
186. #386×C83C22semidirect
187. #386×C83C22semidirect
188. #380×C83C22semidirect
337. C22⋊C4×D83D4semidirect
967. #2703D83semidirect
987. C83#36739semidirect
1021. C2×#121C2×D83semidirect
1040. #400C2×D83semidirect
1050. #397C2×D83semidirect
1070. #394C2×D83semidirect
1086. #392C2×D83semidirect
1096. #390C2×D83semidirect
1113. #388C2×D83semidirect
1114. #388C2×D83semidirect
1128. #386C2×D83semidirect
1129. #386C2×D83semidirect
1130. #386C2×D83semidirect
1138. #380C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282832
C2×#191282622
#249158072
#249157612
#249143122
#249143092
#249142102
#249142052
#249141542
#249141512
#249141032
#249138522
#249138512
#249137902
#249137892
#249136912
#249136882
#249136752
#249136742
#249135642
#249133952
#249124222
#249124202
#249109052
#249108962
#249108402
#249108302
#388×D832
C83×#27032
#3673983