Finite Group Databasebeta

← #35612841

Subgroups — #35612841

Order 21248.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915777C211yesmaximal, characteristic, complemented
2#24915765C211yesmaximal, characteristic, complemented
3#24915126C211yesmaximal, characteristic, complemented
4#24915083C211yesmaximal, characteristic, complemented
5#24914893C211yesmaximal, characteristic, complemented
6#24914882C211yesmaximal, characteristic, complemented
7#24914851C211yesmaximal, characteristic, complemented
8#24914788C211yesmaximal, characteristic, complemented
9#24914687C211yesmaximal, characteristic, complemented
10#24914601C211yesmaximal, characteristic, complemented
11#24914578C211yesmaximal, characteristic, complemented
12#24914506C211yesmaximal, characteristic, complemented
13#24914503C211yesmaximal, characteristic, complemented
14#24914460C211yesmaximal, characteristic, complemented
15#24914096C211yesmaximal, characteristic, complemented
16#24913852C211yesmaximal, characteristic, complemented
17#24913844C211yesmaximal, characteristic, complemented
18#24913250C211yesmaximal, characteristic, complemented
19#24913210C211yesmaximal, characteristic, complemented
20#24912020C211yesmaximal, characteristic, complemented
21#24911788C211yesmaximal, characteristic, complemented
22#24911216C211yesmaximal, characteristic, complemented
23#24911127C211yesmaximal, characteristic, complemented
24#24911007C211yesmaximal, characteristic, complemented
25#24910856C211yesmaximal, characteristic, complemented
26#24910832C211yesmaximal, characteristic
27#24910785C211yesmaximal, characteristic, complemented
28#24910116C211yesmaximal, characteristic, complemented
29#24910037C211yesmaximal, characteristic, complemented
30#388×D83C211yesmaximal, characteristic, complemented
31C83×#2781C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33C2×#14581785C2211yescharacteristic, complemented
34C2×#14581780C2211yescharacteristic, complemented
35C2×#14581777C2211yescharacteristic
36C2×#14581777C2211yescharacteristic, complemented
37C2×#14581774C2211yescharacteristic
38C2×#14581772C2211yescharacteristic, complemented
39C2×#14581769C2211yescharacteristic, complemented
40C2×#14581767C2211yescharacteristic
41C2×#14581765C2211yescharacteristic
42C2×#14581762C2211yescharacteristic
43C2×#14581762C2211yescharacteristic
44C2×#14581754C2211yescharacteristic, complemented
45C2×C4⋊C4×D83C2211yescharacteristic, complemented
46C22×(C2×D83)⋊C4C2211yescharacteristic
47C2×C22⋊C4×D83C2211yescharacteristic
48C2×C22⋊C4×D83C2211yescharacteristic
49C2×C22⋊C4×D83C2211yescharacteristic
50C2×C42×D83C2211yescharacteristic, complemented
51C83⋊#401C2211yescharacteristic, complemented
52#19127643C2211yescharacteristic, complemented
53#19127643C2211yescharacteristic, complemented
54#19127640C2211yescharacteristic, complemented
55#19127640C2211yescharacteristic, complemented
56#19127639C2211yescharacteristic, complemented
57#19127638C2211yescharacteristic
58#19127638C2211yescharacteristic, complemented
59#19127636C2211yescharacteristic, complemented
60#19127635C2211yescharacteristic, complemented
61#19127635C2211yescharacteristic, complemented
62#19127635C2211yescharacteristic, complemented
63#19127634C2211yescharacteristic, complemented
64#19127630C2211yescharacteristic
65#19127630C2211yescharacteristic, complemented
66#19127630C2211yescharacteristic, complemented
67#19127630C2211yescharacteristic, complemented
68#19127630C2211yescharacteristic, complemented
69#19127627C2211yescharacteristic
70#19127627C2211yescharacteristic, complemented
71#19127627C2211yescharacteristic, complemented
72#19127626C2211yescharacteristic, complemented
73#19127624C2211yescharacteristic, complemented
74#19127623C2211yescharacteristic
75#19127623C2211yescharacteristic
76#19127623C2211yescharacteristic, complemented
77#19127623C2211yescharacteristic, complemented
78#19127623C2211yescharacteristic, complemented
79#19127619C2211yescharacteristic
80#19127619C2211yescharacteristic, complemented
81#19127618C2211yescharacteristic
82#19127617C2211yescharacteristic
83#19127617C2211yescharacteristic, complemented
84#19127617C2211yescharacteristic, complemented
85#19127616C2211yescharacteristic
86#19127616C2211yescharacteristic
87#19127616C2211yescharacteristic, complemented
88#19127615C2211yescharacteristic
89#19127614C2211yescharacteristic
90#19127613C2211yescharacteristic, complemented
91#19127610C2211yescharacteristic
92#19127609C2211yescharacteristic
93#19127606C2211yescharacteristic, complemented
94#19127605C2211yescharacteristic, complemented
95#19127603C2211yescharacteristic
96#19127602C2211yescharacteristic, complemented
97#19127601C2211yescharacteristic, complemented
98#19127596C2211yescharacteristic, complemented
99#19127595C2211yescharacteristic, complemented
100#19127595C2211yescharacteristic, complemented
101#19127594C2211yescharacteristic, complemented
102#19127594C2211yescharacteristic, complemented
103#19127594C2211yescharacteristic, complemented
104#19127594C2211yescharacteristic, complemented
105#19127593C2211yescharacteristic
106#19127593C2211yescharacteristic, complemented
107#19127593C2211yescharacteristic, complemented
108#19127593C2211yescharacteristic, complemented
109#19127593C2211yescharacteristic, complemented
110#19127593C2211yescharacteristic, complemented
111#19127592C2211yescharacteristic
112#19127592C2211yescharacteristic, complemented
113#19127591C2211yescharacteristic
114#19127591C2211yescharacteristic
115#19127591C2211yescharacteristic, complemented
116#19127590C2211yescharacteristic
117#19127590C2211yescharacteristic
118#19127589C2211yescharacteristic, complemented
119#19127589C2211yescharacteristic, complemented
120#19127587C2211yescharacteristic, complemented
121#19127586C2211yescharacteristic, complemented
122#19127585C2211yescharacteristic, complemented
123#19127584C2211yescharacteristic, complemented
124#19127581C2211yescharacteristic
125#19127580C2211yescharacteristic
126#19127580C2211yescharacteristic, complemented
127#19127579C2211yescharacteristic
128#19127579C2211yescharacteristic
129#19127579C2211yescharacteristic
130#19127579C2211yescharacteristic
131#19127579C2211yescharacteristic
132#19127579C2211yescharacteristic
133#19127579C2211yescharacteristic, complemented
134#19127579C2211yescharacteristic, complemented
135#19127579C2211yescharacteristic, complemented
136#19127578C2211yescharacteristic
137#19127578C2211yescharacteristic, complemented
138#19127577C2211yescharacteristic
139#19127577C2211yescharacteristic
140#19127577C2211yescharacteristic
141#19127577C2211yescharacteristic
142#19127577C2211yescharacteristic, complemented
143#19127577C2211yescharacteristic, complemented
144#19127576C2211yescharacteristic, complemented
145#19127575C2211yescharacteristic
146#19127575C2211yescharacteristic, complemented
147#19127575C2211yescharacteristic, complemented
148#19127575C2211yescharacteristic, complemented
149#19127572C2211yescharacteristic
150#19127572C2211yescharacteristic
151#19127572C2211yescharacteristic, complemented
152#19127568C2211yescharacteristic, complemented
153#19127568C2211yescharacteristic, complemented
154#19127567C2211yescharacteristic, complemented
155#19127563C2211yescharacteristic
156#19127563C2211yescharacteristic
157#19127563C2211yescharacteristic, complemented
158#19127563C2211yescharacteristic, complemented
159#19127561C2211yescharacteristic, complemented
160#19127559C2211yescharacteristic, complemented
161#19127558C2211yescharacteristic, complemented
162#19127558C2211yescharacteristic, complemented
163#19127556C2211yescharacteristic
164#19127556C2211yescharacteristic
165#19127556C2211yescharacteristic
166#19127556C2211yescharacteristic
167#19127556C2211yescharacteristic
168#19127556C2211yescharacteristic
169C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
170#95×D83C2211yescharacteristic, complemented
171#95×D83C2211yescharacteristic, complemented
172#400×C83C2211yescharacteristic, complemented
173#398×C83C2211yescharacteristic, complemented
174#397×C83C2211yescharacteristic, complemented
175#396×C83C2211yescharacteristic, complemented
176#394×C83C2211yescharacteristic
177#394×C83C2211yescharacteristic
178#388×C83C2211yescharacteristic, complemented
179#388×C83C2211yescharacteristic, complemented
180#388×C83C2211yescharacteristic, complemented
181#388×C83C2211yescharacteristic, complemented
182#387×C83C2211yescharacteristic, complemented
183#386×C83C2211yescharacteristic
184#385×C83C2211yescharacteristic, complemented
185#382×C83C2211yescharacteristic, complemented
186#380×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C24×D83C2311yescharacteristic
189C22×Dic166C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C2×D4×D83—24no—
199C2×D4×D83—42no—
200C2×D4×D83—42no—
201C23×Dic83C2311yescharacteristic
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210#14581785—42no—
211#14581780—42no—
212#14581777—42no—
213#14581777—42no—
214#14581774—42no—
215#14581772—42no—
216#14581769—42no—
217#14581767—42no—
218#14581765—42no—
219#14581762—24no—
220#14581762—42no—
221#14581754—42no—
222C2×C4⋊Dic83C2311yescharacteristic
223C2×C4⋊Dic83C2311yescharacteristic
224C2×C4⋊Dic83C2311yescharacteristic
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊Dic83C2311yescharacteristic
229C2×C4⋊Dic83C2311yescharacteristic
230C2×Dic83⋊C4C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C4⋊C4×D83—42no—
241C2×C22⋊Dic83C2311yescharacteristic
242C2×C22⋊Dic83C2311yescharacteristic
243C2×C22⋊Dic83C2311yescharacteristic
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×(C2×D83)⋊C4—42no—
251C2×(C2×D83)⋊C4C2311yescharacteristic
252C2×(C2×D83)⋊C4C2311yescharacteristic
253C2×(C2×D83)⋊C4C2311yescharacteristic
254C2×(C2×D83)⋊C4C2311yescharacteristic
255C2×(C2×D83)⋊C4C2311yescharacteristic
256C2×(C2×D83)⋊C4C2311yescharacteristic
257C2×(C2×D83)⋊C4C2311yescharacteristic
258C2×(C2×D83)⋊C4C2311yescharacteristic
259C2×(C2×D83)⋊C4C2311yescharacteristic
260C2×(C2×D83)⋊C4C2311yescharacteristic
261C2×(C2×D83)⋊C4C2311yescharacteristic
262C2×(C2×D83)⋊C4C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C22⋊C4×D83—24no—
288C22⋊C4×D83—42no—
289C22⋊C4×D83—42no—
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C42×D83—42no—
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C22×D4×C83C2311yescharacteristic
329C23×C4×C83C2311yescharacteristic
330C2×C4⋊C4×C83C2311yescharacteristic
331C2×C4⋊C4×C83C2311yescharacteristic
332C2×C4⋊C4×C83C2311yescharacteristic
333C2×C4⋊C4×C83C2311yescharacteristic
334C2×C4⋊C4×C83C2311yescharacteristic
335C2×C4⋊C4×C83C2311yescharacteristic
336C2×C4⋊C4×C83C2311yescharacteristic
337C2×C4⋊C4×C83C2311yescharacteristic
338C2×C22⋊C4×C83C2311yescharacteristic
339C2×C22⋊C4×C83C2311yescharacteristic
340C2×C22⋊C4×C83C2311yescharacteristic
341C2×C22⋊C4×C83C2311yescharacteristic
342C2×C22⋊C4×C83C2311yescharacteristic
343C2×C22⋊C4×C83C2311yescharacteristic
344C2×C22⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C42×C83C2311yescharacteristic
350C2×C42×C83C2311yescharacteristic
351#95×C83C2311yescharacteristic
352#95×C83C2311yescharacteristic
353#95×C83C2311yescharacteristic
354#95×C83C2311yescharacteristic
355#95×C83C2311yescharacteristic
356#95×C83C2311yescharacteristic
357#95×C83C2311yescharacteristic
358#95×C83C2311yescharacteristic
359#95×C83C2311yescharacteristic
360#95×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363C23×D83—22no—
364C23×D83—22no—
365C23×D83—22no—
366C23×D83—41no—
367C23×D83—41no—
368C23×D83—41no—
369C23×D83—41no—
370C23×D83—41no—
371C23×D83—41no—
372C23×D83—41no—
373C23×D83—41no—
374C23×D83—41no—
375C23×D83—41no—
376C23×D83#4114yes—
377C23×D83C2411yescharacteristic
378C23×D83C2411yescharacteristic
379C23×D83C2411yescharacteristic
380C23×D83C2411yescharacteristic
381C2×Dic166—22no—
382C2×Dic166—41no—
383C2×Dic166—41no—
384C2×D332—22no—
385C2×D332—22no—
386C2×D332—22no—
387C2×D332—22no—
388C2×D332—22no—
389C2×D332—22no—
390C2×D332—22no—
391C2×D332—22no—
392C2×D332—41no—
393C2×D332—41no—
394C2×D332—41no—
395C2×D332—41no—
396C2×C22⋊D83—22no—
397C2×C22⋊D83—22no—
398C2×C22⋊D83—22no—
399C2×C22⋊D83—22no—
400C2×C22⋊D83—22no—
401C2×C22⋊D83—41no—
402C2×C22⋊D83—41no—
403C2×C22⋊D83—41no—
404C2×C22⋊D83—41no—
405C2×C22⋊D83—41no—
406C2×C22⋊D83—41no—
407C2×C22⋊D83—41no—
408D4×D83—416no—
409C22×Dic83—41no—
410C22×Dic83—41no—
411C22×Dic83—41no—
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C2×C4×D83—22no—
425C2×C4×D83—22no—
426C2×C4×D83—22no—
427C2×C4×D83—22no—
428C2×C4×D83—22no—
429C2×C4×D83—22no—
430C2×C4×D83—22no—
431C2×C4×D83—22no—
432C2×C4×D83—22no—
433C2×C4×D83—22no—
434C2×C4×D83—41no—
435C2×C4×D83—41no—
436C2×C4×D83—41no—
437C2×C4×D83—41no—
438C2×C4×D83—41no—
439C2×C4×D83—41no—
440C2×C4×D83—41no—
441C2×C4×D83—41no—
442C2×C4×D83—41no—
443C2×C4×D83—41no—
444C2×C4×D83—41no—
445C2×C4×D83—41no—
446C2×C4×D83—41no—
447C2×C4×D83—41no—
448C4⋊Dic83—41no—
449C4⋊Dic83—41no—
450C4⋊Dic83—41no—
451C4⋊Dic83—41no—
452C4⋊Dic83—41no—
453C4⋊Dic83—41no—
454C4⋊Dic83—41no—
455C4⋊Dic83—41no—
456Dic83⋊C4—22no—
457Dic83⋊C4—41no—
458Dic83⋊C4—41no—
459Dic83⋊C4—41no—
460Dic83⋊C4—41no—
461Dic83⋊C4—41no—
462Dic83⋊C4—41no—
463Dic83⋊C4—41no—
464Dic83⋊C4—41no—
465Dic83⋊C4—41no—
466C22⋊Dic83—22no—
467C22⋊Dic83—41no—
468C22⋊Dic83—41no—
469C22⋊Dic83—41no—
470C22⋊Dic83—41no—
471C22⋊Dic83—41no—
472C22⋊Dic83—41no—
473C22⋊Dic83—41no—
474C22⋊Dic83—41no—
475(C2×D83)⋊C4—22no—
476(C2×D83)⋊C4—22no—
477(C2×D83)⋊C4—22no—
478(C2×D83)⋊C4—22no—
479(C2×D83)⋊C4—22no—
480(C2×D83)⋊C4—22no—
481(C2×D83)⋊C4—22no—
482(C2×D83)⋊C4—22no—
483(C2×D83)⋊C4—22no—
484(C2×D83)⋊C4—41no—
485(C2×D83)⋊C4—41no—
486(C2×D83)⋊C4—41no—
487(C2×D83)⋊C4—41no—
488(C2×D83)⋊C4—41no—
489(C2×D83)⋊C4—41no—
490(C2×D83)⋊C4—41no—
491(C2×D83)⋊C4—41no—
492(C2×D83)⋊C4—41no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495(C2×D83)⋊C4—41no—
496(C2×D83)⋊C4—41no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
499(C2×D83)⋊C4—41no—
500(C2×D83)⋊C4—41no—
501(C2×D83)⋊C4—41no—
502(C2×D83)⋊C4—41no—
503(C2×D83)⋊C4—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊C4—41no—
509(C2×D83)⋊C4—41no—
510(C2×D83)⋊C4—41no—
511C4×Dic83—22no—
512C4×Dic83—41no—
513C4×Dic83—41no—
514C4×Dic83—41no—
515C4×Dic83—41no—
516C24×C83C2411yescharacteristic
517C24×C83C2411yescharacteristic
518C2×D4×C83—22no—
519C2×D4×C83—41no—
520C2×D4×C83—41no—
521C22×C4×C83—41no—
522C22×C4×C83—41no—
523C22×C4×C83—41no—
524C22×C4×C83C2411yescharacteristic
525C22×C4×C83C2411yescharacteristic
526C22×C4×C83C2411yescharacteristic
527C22×C4×C83C2411yescharacteristic
528C22×C4×C83C2411yescharacteristic
529C22×C4×C83C2411yescharacteristic
530C22×C4×C83C2411yescharacteristic
531C22×C4×C83C2411yescharacteristic
532C22×C4×C83C2411yescharacteristic
533C22×C4×C83C2411yescharacteristic
534C22×C4×C83C2411yescharacteristic
535C22×C4×C83C2411yescharacteristic
536C22×C4×C83C2411yescharacteristic
537C4⋊C4×C83—41no—
538C4⋊C4×C83—41no—
539C4⋊C4×C83—41no—
540C4⋊C4×C83—41no—
541C4⋊C4×C83—41no—
542C4⋊C4×C83—41no—
543C4⋊C4×C83—41no—
544C4⋊C4×C83—41no—
545C22⋊C4×C83—22no—
546C22⋊C4×C83—22no—
547C22⋊C4×C83—22no—
548C22⋊C4×C83—22no—
549C22⋊C4×C83—41no—
550C22⋊C4×C83—41no—
551C22⋊C4×C83—41no—
552C22⋊C4×C83—41no—
553C22⋊C4×C83—41no—
554C22⋊C4×C83—41no—
555C22⋊C4×C83—41no—
556C42×C83—22no—
557C42×C83—41no—
558C23×C83—21no—
559C23×C83—21no—
560C23×C83—21no—
561C23×C83—21no—
562C23×C83—21no—
563C23×C83—21no—
564C23×C83—21no—
565C23×C83—21no—
566C23×C83—21no—
567C23×C83—21no—
568C23×C83—21no—
569C23×C83—21no—
570C23×C83—21no—
571C23×C83C2×#4112yes—
572C23×C83C2511yescharacteristic
573C22×D83—21no—
574C22×D83—21no—
575C22×D83—21no—
576C22×D83—21no—
577C22×D83—21no—
578C22×D83—21no—
579C22×D83—21no—
580C22×D83—21no—
581C22×D83—21no—
582C22×D83—21no—
583C22×D83—28no—
584C22×D83—21no—
585C22×D83—21no—
586C22×D83—21no—
587C22×D83—21no—
588C22×D83—21no—
589C22×D83—21no—
590C22×D83—21no—
591C22×D83—21no—
592C22×D83—21no—
593C22×D83—21no—
594C22×D83—21no—
595C22×D83—21no—
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—44no—
599C22×D83—44no—
600C22×D83—44no—
601C22×D83—82no—
602C22×D83—82no—
603C22×D83—82no—
604C22×D83—82no—
605C22×D83—82no—
606C22×D83—82no—
607C22×D83—82no—
608C22×D83—82no—
609C22×D83—82no—
610C22×D83—82no—
611C22×D83C2×#4112yes—
612C22×D83C2×#4112yes—
613C22×D83H(5,𝔽2)12yes—
614C22×D83H(5,𝔽2)12yes—
615D4×C83—44no—
616C2×C4×C83—21no—
617C2×C4×C83—21no—
618C2×C4×C83—21no—
619C2×C4×C83—21no—
620C2×C4×C83—21no—
621C2×C4×C83—21no—
622C2×C4×C83—21no—
623C2×C4×C83—21no—
624C2×C4×C83—21no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—82no—
655C2×C4×C83H(5,𝔽2)12yes—
656C22⋊D83—44no—
657C22⋊D83—44no—
658C22⋊D83—82no—
659C22⋊D83—82no—
660C2×Dic83—21no—
661C2×Dic83—21no—
662C2×Dic83—21no—
663C2×Dic83—21no—
664C2×Dic83—21no—
665C2×Dic83—21no—
666C2×Dic83—21no—
667C2×Dic83—21no—
668C2×Dic83—21no—
669C2×Dic83—21no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—82no—
697D332—44no—
698D332—44no—
699D332—82no—
700D332—82no—
701C4×D83—44no—
702C4×D83—44no—
703C4×D83—44no—
704C4×D83—44no—
705C4×D83—44no—
706C4×D83—82no—
707C4×D83—82no—
708C4×D83—82no—
709Dic166—82no—
710C22×C83—22no—
711C22×C83—22no—
712C22×C83—22no—
713C22×C83—41no—
714C22×C83—41no—
715C22×C83—41no—
716C22×C83—41no—
717C22×C83—41no—
718C22×C83—41no—
719C22×C83—41no—
720C22×C83—41no—
721C22×C83—41no—
722C22×C83—41no—
723C22×C83—41no—
724C22×C83C22×#4111yescharacteristic
725C22×C83C2×H(5,𝔽2)11yescharacteristic
726C22×C83C2×H(5,𝔽2)11yescharacteristic
727C22×C83C2×H(5,𝔽2)11yescharacteristic
728C22×C83#58511yescharacteristic
729C22×C83#58511yescharacteristic
730C22×C83#58511yescharacteristic
731C2×D83—22no—
732C2×D83—22no—
733C2×D83—22no—
734C2×D83—22no—
735C2×D83—22no—
736C2×D83—22no—
737C2×D83—22no—
738C2×D83—22no—
739C2×D83—22no—
740C2×D83—41no—
741C2×D83—41no—
742C2×D83—41no—
743C2×D83—41no—
744C2×D83—41no—
745C2×D83—41no—
746C2×D83—41no—
747C2×D83—41no—
748C2×D83—41no—
749C2×D83—41no—
750C2×D83—41no—
751C2×D83—41no—
752C2×D83—41no—
753C2×D83—41no—
754C2×D83—41no—
755C2×D83—41no—
756C2×D83—41no—
757C2×D83—41no—
758C2×D83—88no—
759C2×D83—88no—
760C2×D83#53814yes—
761C4×C83—22no—
762C4×C83—41no—
763C4×C83—41no—
764C4×C83—41no—
765C4×C83—41no—
766C4×C83—41no—
767C4×C83—41no—
768C4×C83—41no—
769C4×C83—41no—
770C4×C83—41no—
771C4×C83—41no—
772C4×C83—41no—
773C4×C83—41no—
774Dic83—41no—
775Dic83—41no—
776Dic83—41no—
777Dic83—41no—
778Dic83—41no—
779Dic83—41no—
780Dic83—41no—
781Dic83—41no—
782Dic83—41no—
783Dic83—41no—
784Dic83—41no—
785Dic83—41no—
786#36779—831nomaximal, Sylow
787C2×C83—42no—
788C2×C83—81no—
789C2×C83C2×#53811yescharacteristic
790C2×C83#349111yescharacteristic
791C2×C83#350511yescharacteristic
792C2×C83#353411yescharacteristic
793C2×C83#354211yescharacteristic
794C2×C83#354511yescharacteristic
795C2×C83#356011yescharacteristic
796D83—24no—
797D83—42no—
798D83—81no—
799D83—81no—
800#2852—831no—
801#2850—831no—
802#2781—831no—
803#2781D8311yescharacteristic, complemented
804#2778—831no—
805#2765—831no—
806#2764—831no—
807#2761—831no—
808#2756—831no—
809#2749—831no—
810#2743—831no—
811#2741—831no—
812#2735—831no—
813#2735—831no—
814#2730—831no—
815#2702—831no—
816#2685—831no—
817#2684—831no—
818#2623—831no—
819#2618—831no—
820#2510—831no—
821#2488—831no—
822#2444—831no—
823#2437—831no—
824#2425—831no—
825#2412—831no—
826#2410—831no—
827#2405—831no—
828#2321—831no—
829#2308—831no—
830C2×#388—831no—
831C83#3677911yescharacteristic, complemented, Sylow
832C23×D4—831no—
833C2×#126—831no—
834C2×#124—831no—
835C2×#123—831no—
836C2×#123—831no—
837C2×#123—831no—
838C2×C22⋊Q8—831no—
839C2×C22⋊Q8—831no—
840C2×#121—831no—
841C2×#121—831no—
842C2×#120—831no—
843C2×#120—831no—
844C2×C4×D4—831no—
845C22×C4⋊C4—831no—
846C22×C22⋊C4—831no—
847C22×C22⋊C4—831no—
848C22×C22⋊C4—831no—
849C22×C22⋊C4—831no—
850C22×C42—831no—
851#401—831no—
852#400—831no—
853#400—831no—
854#400—831no—
855#400—831no—
856#400—831no—
857#400C2×D8311yescharacteristic, complemented
858#399—831no—
859#399—831no—
860#399—831no—
861#398—831no—
862#398—831no—
863#398—831no—
864#398—831no—
865#398C2×D8311yescharacteristic, complemented
866#397—831no—
867#397—831no—
868#397—831no—
869#397—831no—
870#397—831no—
871#397—831no—
872#397—831no—
873#397—831no—
874#397—831no—
875#397C2×D8311yescharacteristic, complemented
876#396—831no—
877#396—831no—
878#396—831no—
879#396—831no—
880#396—831no—
881#396—831no—
882#396C2×D8311yescharacteristic, complemented
883#394—831no—
884#394—831no—
885#394—831no—
886#394—831no—
887#394—831no—
888#394—831no—
889#394—831no—
890#394—831no—
891#394—831no—
892#394—831no—
893#394C2×D8311yescharacteristic
894#394C2×D8311yescharacteristic
895#393—831no—
896#393—831no—
897#392—831no—
898#392—831no—
899#391—831no—
900#391—831no—
901#390—831no—
902#390—831no—
903#390—831no—
904#389—831no—
905#388—831no—
906#388—831no—
907#388—831no—
908#388—831no—
909#388—831no—
910#388—831no—
911#388—831no—
912#388—831no—
913#388—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388C2×D8311yescharacteristic, complemented
927#388C2×D8311yescharacteristic, complemented
928#388C2×D8311yescharacteristic, complemented
929#388C2×D8311yescharacteristic, complemented
930#387—831no—
931#387—831no—
932#387—831no—
933#387—831no—
934#387C2×D8311yescharacteristic, complemented
935#386—831no—
936#386—831no—
937#386—831no—
938#386—831no—
939#386—831no—
940#386—831no—
941#386—831no—
942#386—831no—
943#386—831no—
944#386—831no—
945#386—831no—
946#386—831no—
947#386—831no—
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#386—831no—
953#386—831no—
954#386—831no—
955#386C2×D8311yescharacteristic
956#385—831no—
957#385—831no—
958#385—831no—
959#385—831no—
960#385—831no—
961#385—831no—
962#385—831no—
963#385—831no—
964#385C2×D8311yescharacteristic, complemented
965#383—831no—
966#383—831no—
967#382—831no—
968#382C2×D8311yescharacteristic, complemented
969#381—831no—
970#381—831no—
971#381—831no—
972#381—831no—
973#380—831no—
974#380—831no—
975#380—831no—
976#380—831no—
977#380C2×D8311yescharacteristic, complemented
978#379—831no—
979#379—831no—
980#379—831no—
981#379—831no—
982#379—831no—
983#379—831no—
984C4×C22⋊C4—831no—
985C2×#95—831no—
986C2×#95—831no—
987C25—831no—
988C25—831no—
989C22×Q8—831no—
990C22×D4—3322no—
991C22×D4—3322no—
992C22×D4—831no—
993C22×D4—831no—
994C22×D4—831no—
995C22×D4—831no—
996C22×D4—831no—
997C22×D4—831no—
998C22×D4—831no—
999C22×D4—831no—
1000C22×D4—1664no—
1001C22×D4C22×D8311yescharacteristic
1002C23×C4—831no—
1003C23×C4—831no—
1004C23×C4—831no—
1005C23×C4—831no—
1006C23×C4—831no—
1007C23×C4—831no—
1008C23×C4—831no—
1009C23×C4—831no—
1010C23×C4—831no—
1011C23×C4C22×D8311yescharacteristic
1012#126—3322no—
1013#124—3322no—
1014#123—3322no—
1015#123—3322no—
1016#123—3322no—
1017C22⋊Q8—3322no—
1018C22⋊Q8—3322no—
1019#121—3322no—
1020#121—3322no—
1021#120—3322no—
1022#120—1664no—
1023C4×D4—3322no—
1024C2×C4⋊C4—3322no—
1025C2×C4⋊C4—831no—
1026C2×C4⋊C4—831no—
1027C2×C4⋊C4—831no—
1028C2×C4⋊C4—831no—
1029C2×C4⋊C4—831no—
1030C2×C4⋊C4—831no—
1031C2×C4⋊C4—831no—
1032C2×C4⋊C4—831no—
1033C2×C4⋊C4—831no—
1034C2×C4⋊C4—831no—
1035C2×C4⋊C4—831no—
1036C2×C4⋊C4—831no—
1037C2×C4⋊C4—831no—
1038C2×C4⋊C4—831no—
1039C2×C4⋊C4—831no—
1040C2×C4⋊C4—831no—
1041C2×C4⋊C4—831no—
1042C2×C4⋊C4—831no—
1043C2×C4⋊C4C22×D8311yescharacteristic
1044C2×C4⋊C4C22×D8311yescharacteristic
1045C2×C4⋊C4C22×D8311yescharacteristic
1046C2×C4⋊C4C22×D8311yescharacteristic
1047C2×C4⋊C4C22×D8311yescharacteristic
1048C2×C4⋊C4C22×D8311yescharacteristic
1049C2×C4⋊C4C22×D8311yescharacteristic
1050C2×C4⋊C4C22×D8311yescharacteristic
1051C2×C22⋊C4—3322no—
1052C2×C22⋊C4—3322no—
1053C2×C22⋊C4—3322no—
1054C2×C22⋊C4—831no—
1055C2×C22⋊C4—831no—
1056C2×C22⋊C4—831no—
1057C2×C22⋊C4—831no—
1058C2×C22⋊C4—831no—
1059C2×C22⋊C4—831no—
1060C2×C22⋊C4—831no—
1061C2×C22⋊C4—831no—
1062C2×C22⋊C4—831no—
1063C2×C22⋊C4—831no—
1064C2×C22⋊C4—831no—
1065C2×C22⋊C4—831no—
1066C2×C22⋊C4—831no—
1067C2×C22⋊C4—831no—
1068C2×C22⋊C4—831no—
1069C2×C22⋊C4—831no—
1070C2×C22⋊C4—831no—
1071C2×C22⋊C4—831no—
1072C2×C22⋊C4—831no—
1073C2×C22⋊C4—831no—
1074C2×C22⋊C4—831no—
1075C2×C22⋊C4—831no—
1076C2×C22⋊C4—831no—
1077C2×C22⋊C4—831no—
1078C2×C22⋊C4—831no—
1079C2×C22⋊C4—831no—
1080C2×C22⋊C4—831no—
1081C2×C22⋊C4—831no—
1082C2×C22⋊C4—831no—
1083C2×C22⋊C4—831no—
1084C2×C22⋊C4—831no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—831no—
1088C2×C22⋊C4—831no—
1089C2×C22⋊C4—831no—
1090C2×C22⋊C4—831no—
1091C2×C22⋊C4—831no—
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4—831no—
1099C2×C22⋊C4—1664no—
1100C2×C22⋊C4C22×D8311yescharacteristic
1101C2×C22⋊C4C22×D8311yescharacteristic
1102C2×C22⋊C4C22×D8311yescharacteristic
1103C2×C22⋊C4C22×D8311yescharacteristic
1104C2×C22⋊C4C22×D8311yescharacteristic
1105C2×C22⋊C4C22×D8311yescharacteristic
1106C2×C22⋊C4C22×D8311yescharacteristic
1107C2×C22⋊C4C22×D8311yescharacteristic
1108C2×C22⋊C4C22×D8311yescharacteristic
1109C2×C22⋊C4C22×D8311yescharacteristic
1110C2×C22⋊C4C22×D8311yescharacteristic
1111C2×C42—3322no—
1112C2×C42—831no—
1113C2×C42—831no—
1114C2×C42—831no—
1115C2×C42—831no—
1116C2×C42—831no—
1117C2×C42C22×D8311yescharacteristic
1118C2×C42C22×D8311yescharacteristic
1119#95—831no—
1120#95—831no—
1121#95—831no—
1122#95—831no—
1123#95—831no—
1124#95—831no—
1125#95—831no—
1126#95—831no—
1127#95—831no—
1128#95—831no—
1129#95—831no—
1130#95—831no—
1131#95—831no—
1132#95—831no—
1133#95—831no—
1134#95—831no—
1135#95—831no—
1136#95—831no—
1137#95—831no—
1138#95—831no—
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95—831no—
1150#95—831no—
1151#95C22×D8311yescharacteristic
1152#95C22×D8311yescharacteristic
1153#95C22×D8311yescharacteristic
1154#95C22×D8311yescharacteristic
1155#95C22×D8311yescharacteristic
1156#95C22×D8311yescharacteristic
1157#95C22×D8311yescharacteristic
1158#95C22×D8311yescharacteristic
1159#95C22×D8311yescharacteristic
1160#95C22×D8311yescharacteristic
1161#95C22×D8311yescharacteristic
1162#95C22×D8311yescharacteristic
1163C24—3321no—
1164C24—3321no—
1165C24—3321no—
1166C24—3321no—
1167C24—3321no—
1168C24—3321no—
1169C24—3321no—
1170C24—3321no—
1171C24—3321no—
1172C24—3321no—
1173C24—834no—
1174C24—831no—
1175C24—831no—
1176C24—831no—
1177C24—831no—
1178C24—1662no—
1179C24—1662no—
1180C24—1662no—
1181C24C23×D8311yescharacteristic
1182C24C23×D8311yescharacteristic
1183C2×Q8—3321no—
1184C2×Q8—3321no—
1185C2×Q8—1662no—
1186C2×D4—22no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—3321no—
1190C2×D4—3321no—
1191C2×D4—3321no—
1192C2×D4—3321no—
1193C2×D4—33216no—
1194C2×D4—3321no—
1195C2×D4—3321no—
1196C2×D4—3321no—
1197C2×D4—3321no—
1198C2×D4—3321no—
1199C2×D4—3321no—
1200C2×D4—3321no—
1201C2×D4—1662no—
1202C2×D4—1662no—
1203C2×D4—1662no—
1204C2×D4—1662no—
1205C2×D4—1662no—
1206C2×D4—1662no—
1207C2×D4—1662no—
1208C2×D4—1662no—
1209C2×D4—1662no—
1210C2×D4—1662no—
1211C2×D4—1662no—
1212C2×D4—1662no—
1213C2×D4—1662no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—3321no—
1218C22×C4—3321no—
1219C22×C4—3321no—
1220C22×C4—3321no—
1221C22×C4—3321no—
1222C22×C4—3321no—
1223C22×C4—3321no—
1224C22×C4—3321no—
1225C22×C4—3321no—
1226C22×C4—3321no—
1227C22×C4—3321no—
1228C22×C4—3321no—
1229C22×C4—3321no—
1230C22×C4—3321no—
1231C22×C4—3321no—
1232C22×C4—3321no—
1233C22×C4—3321no—
1234C22×C4—831no—
1235C22×C4—831no—
1236C22×C4—831no—
1237C22×C4—831no—
1238C22×C4—831no—
1239C22×C4—831no—
1240C22×C4—831no—
1241C22×C4—831no—
1242C22×C4—831no—
1243C22×C4—831no—
1244C22×C4—831no—
1245C22×C4—831no—
1246C22×C4—1662no—
1247C22×C4—1662no—
1248C22×C4—1662no—
1249C22×C4—1662no—
1250C22×C4—1662no—
1251C22×C4—1662no—
1252C22×C4—1662no—
1253C22×C4—1662no—
1254C22×C4—1662no—
1255C22×C4—1662no—
1256C22×C4C23×D8311yescharacteristic
1257C22×C4C23×D8311yescharacteristic
1258C22×C4C23×D8311yescharacteristic
1259C22×C4C23×D8311yescharacteristic
1260C22×C4C23×D8311yescharacteristic
1261C22×C4C23×D8311yescharacteristic
1262C22×C4C23×D8311yescharacteristic
1263C22×C4C23×D8311yescharacteristic
1264C22×C4C23×D8311yescharacteristic
1265C22×C4C23×D8311yescharacteristic
1266C22×C4C23×D8311yescharacteristic
1267C22×C4C23×D8311yescharacteristic
1268C22×C4C23×D8311yescharacteristic
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—3321no—
1278C4⋊C4—3321no—
1279C4⋊C4—3321no—
1280C4⋊C4—3321no—
1281C4⋊C4—3321no—
1282C4⋊C4—3321no—
1283C4⋊C4—3321no—
1284C4⋊C4—3321no—
1285C4⋊C4—3321no—
1286C4⋊C4—3321no—
1287C4⋊C4—3321no—
1288C4⋊C4—3321no—
1289C4⋊C4—3321no—
1290C4⋊C4—3321no—
1291C4⋊C4—3321no—
1292C4⋊C4—3321no—
1293C4⋊C4—3321no—
1294C4⋊C4—1662no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—3321no—
1307C22⋊C4—3321no—
1308C22⋊C4—3321no—
1309C22⋊C4—3321no—
1310C22⋊C4—3321no—
1311C22⋊C4—3321no—
1312C22⋊C4—3321no—
1313C22⋊C4—3321no—
1314C22⋊C4—3321no—
1315C22⋊C4—3321no—
1316C22⋊C4—3321no—
1317C22⋊C4—3321no—
1318C22⋊C4—3321no—
1319C22⋊C4—3321no—
1320C22⋊C4—3321no—
1321C22⋊C4—3321no—
1322C22⋊C4—3321no—
1323C22⋊C4—3321no—
1324C22⋊C4—3321no—
1325C22⋊C4—3321no—
1326C22⋊C4—3321no—
1327C22⋊C4—3321no—
1328C22⋊C4—3321no—
1329C22⋊C4—3321no—
1330C22⋊C4—3321no—
1331C22⋊C4—3321no—
1332C22⋊C4—3321no—
1333C22⋊C4—3321no—
1334C22⋊C4—3321no—
1335C22⋊C4—3321no—
1336C22⋊C4—3321no—
1337C22⋊C4—3321no—
1338C22⋊C4—3321no—
1339C22⋊C4—3321no—
1340C22⋊C4—3321no—
1341C22⋊C4—1662no—
1342C22⋊C4—1662no—
1343C22⋊C4—1662no—
1344C22⋊C4—1662no—
1345C22⋊C4—1662no—
1346C22⋊C4—1662no—
1347C22⋊C4—1662no—
1348C22⋊C4—1662no—
1349C22⋊C4—1662no—
1350C22⋊C4—1662no—
1351C42—22no—
1352C42—41no—
1353C42—3321no—
1354C42—3321no—
1355C42—3321no—
1356C42—3321no—
1357C42—1662no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—3324no—
1372C23—3324no—
1373C23—3324no—
1374C23—832no—
1375C23—832no—
1376C23—832no—
1377C23—832no—
1378C23—6642no—
1379C23—6642no—
1380C23—6642no—
1381C23—6642no—
1382C23—6642no—
1383C23—6642no—
1384C23—6642no—
1385C23—6642no—
1386C23—6642no—
1387C23—6642no—
1388C23—1668no—
1389C23—1661no—
1390C23—1661no—
1391C23—1661no—
1392C23—1661no—
1393C23—1661no—
1394C23—1661no—
1395C23—1661no—
1396C23—1661no—
1397C23—1661no—
1398C23—1661no—
1399C23—1661no—
1400C23—1661no—
1401C23—1661no—
1402C23—1661no—
1403C23—1661no—
1404C23—1661no—
1405C23—1661no—
1406C23—1661no—
1407C23—1661no—
1408C23—1661no—
1409C23—1661no—
1410C23—1661no—
1411C23—1661no—
1412C23—1661no—
1413C23#41×D8312yes—
1414C23C24×D8311yescharacteristic
1415Q8—6642no—
1416D4—44no—
1417D4—3324no—
1418D4—3324no—
1419D4—3324no—
1420D4—3324no—
1421D4—6642no—
1422D4—6642no—
1423D4—6642no—
1424D4—6642no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—82no—
1464C2×C4—3324no—
1465C2×C4—3324no—
1466C2×C4—3324no—
1467C2×C4—3324no—
1468C2×C4—3324no—
1469C2×C4—6642no—
1470C2×C4—6642no—
1471C2×C4—6642no—
1472C2×C4—6642no—
1473C2×C4—1661no—
1474C2×C4—1661no—
1475C2×C4—1661no—
1476C2×C4—1661no—
1477C2×C4—1661no—
1478C2×C4—1661no—
1479C2×C4—1661no—
1480C2×C4—1661no—
1481C2×C4—1661no—
1482C2×C4—1661no—
1483C2×C4—1661no—
1484C2×C4—1661no—
1485C2×C4—1661no—
1486C2×C4—1661no—
1487C2×C4—1661no—
1488C2×C4—1661no—
1489C2×C4—1661no—
1490C2×C4—1661no—
1491C2×C4—1661no—
1492C2×C4—1661no—
1493C2×C4—1661no—
1494C2×C4—1661no—
1495C2×C4—1661no—
1496C2×C4—1661no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4—1661no—
1500C2×C4—1661no—
1501C2×C4—1661no—
1502C2×C4—1661no—
1503C2×C4—1661no—
1504C2×C4—1661no—
1505C2×C4—1661no—
1506C2×C4—1661no—
1507C2×C4—1661no—
1508C2×C4—1661no—
1509C2×C4#1458183812yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—3321no—
1525C22—3321no—
1526C22—3321no—
1527C22—3321no—
1528C22—3321no—
1529C22—3321no—
1530C22—3321no—
1531C22—3321no—
1532C22—3321no—
1533C22—3321no—
1534C22—3321no—
1535C22—3321no—
1536C22—3321no—
1537C22—3321no—
1538C22—3321no—
1539C22—3321no—
1540C22—3321no—
1541C22—3321no—
1542C22—834no—
1543C22—6648no—
1544C22—6648no—
1545C22—1662no—
1546C22—1662no—
1547C22—1662no—
1548C22—1662no—
1549C22—1662no—
1550C22—1662no—
1551C22—1662no—
1552C22—1662no—
1553C22—1662no—
1554C22C2×#41×D8311yescharacteristic
1555C22H(5,𝔽2)×D8311yescharacteristic
1556C22H(5,𝔽2)×D8311yescharacteristic
1557C22C2×#1458183811yescharacteristic
1558C22#1912853611yescharacteristic
1559C22#1912853711yescharacteristic
1560C22#1912853811yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—3321no—
1575C4—3321no—
1576C4—3321no—
1577C4—3321no—
1578C4—3321no—
1579C4—3321no—
1580C4—3321no—
1581C4—3321no—
1582C4—3321no—
1583C4—3321no—
1584C4—3321no—
1585C4—3321no—
1586C2—42no—
1587C2—81no—
1588C2—3322no—
1589C2—6641no—
1590C2—6641no—
1591C2—1664no—
1592C2#538×D8311yescharacteristic
1593C2#2492115811yescharacteristic
1594C2#2492129211yescharacteristic
1595C2#2492165111yescharacteristic
1596C2#2492178611yescharacteristic
1597C2#2492181311yescharacteristic
1598C2#2492200811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2781C2
prime radical#24910832C2
hypercenter#2781D83
hypocenterC83#36779
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2781

Complements

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

NH ≅ G/Ntype
1. #24915777C2semidirect
2. #24915765C2semidirect
3. #24915126C2semidirect
4. #24915083C2semidirect
5. #24914893C2semidirect
6. #24914882C2semidirect
7. #24914851C2semidirect
8. #24914788C2semidirect
9. #24914687C2semidirect
10. #24914601C2semidirect
11. #24914578C2semidirect
12. #24914506C2semidirect
13. #24914503C2semidirect
14. #24914460C2semidirect
15. #24914096C2semidirect
16. #24913852C2semidirect
17. #24913844C2semidirect
18. #24913250C2semidirect
19. #24913210C2semidirect
20. #24912020C2semidirect
21. #24911788C2semidirect
22. #24911216C2semidirect
23. #24911127C2semidirect
24. #24911007C2semidirect
25. #24910856C2semidirect
27. #24910785C2semidirect
28. #24910116C2semidirect
29. #24910037C2semidirect
30. #388×D83C2semidirect
31. C83×#2781C2semidirect
33. C2×#14581785C22semidirect
34. C2×#14581780C22semidirect
36. C2×#14581777C22semidirect
38. C2×#14581772C22semidirect
39. C2×#14581769C22semidirect
44. C2×#14581754C22semidirect
45. C2×C4⋊C4×D83C22semidirect
50. C2×C42×D83C22semidirect
51. C83⋊#401C22semidirect
52. #19127643C22semidirect
53. #19127643C22semidirect
54. #19127640C22semidirect
55. #19127640C22semidirect
56. #19127639C22semidirect
58. #19127638C22semidirect
59. #19127636C22semidirect
60. #19127635C22semidirect
61. #19127635C22semidirect
62. #19127635C22semidirect
63. #19127634C22semidirect
65. #19127630C22semidirect
66. #19127630C22semidirect
67. #19127630C22semidirect
68. #19127630C22semidirect
70. #19127627C22semidirect
71. #19127627C22semidirect
72. #19127626C22semidirect
73. #19127624C22semidirect
76. #19127623C22semidirect
77. #19127623C22semidirect
78. #19127623C22semidirect
80. #19127619C22semidirect
83. #19127617C22semidirect
84. #19127617C22semidirect
87. #19127616C22semidirect
90. #19127613C22semidirect
93. #19127606C22semidirect
94. #19127605C22semidirect
96. #19127602C22semidirect
97. #19127601C22semidirect
98. #19127596C22semidirect
99. #19127595C22semidirect
100. #19127595C22semidirect
101. #19127594C22semidirect
102. #19127594C22semidirect
103. #19127594C22semidirect
104. #19127594C22semidirect
106. #19127593C22semidirect
107. #19127593C22semidirect
108. #19127593C22semidirect
109. #19127593C22semidirect
110. #19127593C22semidirect
112. #19127592C22semidirect
115. #19127591C22semidirect
118. #19127589C22semidirect
119. #19127589C22semidirect
120. #19127587C22semidirect
121. #19127586C22semidirect
122. #19127585C22semidirect
123. #19127584C22semidirect
126. #19127580C22semidirect
133. #19127579C22semidirect
134. #19127579C22semidirect
135. #19127579C22semidirect
137. #19127578C22semidirect
142. #19127577C22semidirect
143. #19127577C22semidirect
144. #19127576C22semidirect
146. #19127575C22semidirect
147. #19127575C22semidirect
148. #19127575C22semidirect
151. #19127572C22semidirect
152. #19127568C22semidirect
153. #19127568C22semidirect
154. #19127567C22semidirect
157. #19127563C22semidirect
158. #19127563C22semidirect
159. #19127561C22semidirect
160. #19127559C22semidirect
161. #19127558C22semidirect
162. #19127558C22semidirect
169. C4×(C2×D83)⋊C4C22semidirect
170. #95×D83C22semidirect
171. #95×D83C22semidirect
172. #400×C83C22semidirect
173. #398×C83C22semidirect
174. #397×C83C22semidirect
175. #396×C83C22semidirect
178. #388×C83C22semidirect
179. #388×C83C22semidirect
180. #388×C83C22semidirect
181. #388×C83C22semidirect
182. #387×C83C22semidirect
184. #385×C83C22semidirect
185. #382×C83C22semidirect
186. #380×C83C22semidirect
803. #2781D83semidirect
831. C83#36779semidirect
857. #400C2×D83semidirect
865. #398C2×D83semidirect
875. #397C2×D83semidirect
882. #396C2×D83semidirect
926. #388C2×D83semidirect
927. #388C2×D83semidirect
928. #388C2×D83semidirect
929. #388C2×D83semidirect
934. #387C2×D83semidirect
964. #385C2×D83semidirect
968. #382C2×D83semidirect
977. #380C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157772
#249157652
#249151262
#249150832
#249148932
#249148822
#249148512
#249147882
#249146872
#249146012
#249145782
#249145062
#249145032
#249144602
#249140962
#249138522
#249138442
#249132502
#249132102
#249120202
#249117882
#249112162
#249111272
#249110072
#249108562
#249108322
#249107852
#249101162
#249100372
#388×D832
C83×#27812
#3677983