Finite Group Databasebeta

← #35577092

Subgroups — #35577092

Order 21248.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D83C211yesmaximal, characteristic, complemented
2#24915775C211yesmaximal, characteristic, complemented
3#24915768C211yesmaximal, characteristic, complemented
4#24915752C211yesmaximal, characteristic, complemented
5#24915747C211yesmaximal, characteristic, complemented
6#24913381C211yesmaximal, characteristic, complemented
7#24913360C211yesmaximal, characteristic, complemented
8#24913332C211yesmaximal, characteristic, complemented
9#24913302C211yesmaximal, characteristic, complemented
10#24911705C211yesmaximal, characteristic, complemented
11#24911600C211yesmaximal, characteristic, complemented
12#24911495C211yesmaximal, characteristic, complemented
13#24911456C211yesmaximal, characteristic, complemented
14#24911411C211yesmaximal, characteristic, complemented
15#24911342C211yesmaximal, characteristic, complemented
16#24911269C211yesmaximal, characteristic, complemented
17#24911268C211yesmaximal, characteristic, complemented
18#24911194C211yesmaximal, characteristic, complemented
19#24911126C211yesmaximal, characteristic, complemented
20#24911010C211yesmaximal, characteristic, complemented
21#24910936C211yesmaximal, characteristic, complemented
22#24910922C211yesmaximal, characteristic, complemented
23#24910855C211yesmaximal, characteristic, complemented
24#24910834C211yesmaximal, characteristic
25#24910787C211yesmaximal, characteristic, complemented
26#24910161C211yesmaximal, characteristic, complemented
27#24910132C211yesmaximal, characteristic, complemented
28#24910096C211yesmaximal, characteristic, complemented
29C4×#14581760C211yesmaximal, characteristic, complemented
30C2×#19127572C211yesmaximal, characteristic, complemented
31C2×#539×C83C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic
35C2×#14581775C2211yescharacteristic
36C2×#14581773C2211yescharacteristic, complemented
37C2×#14581768C2211yescharacteristic
38C2×#14581768C2211yescharacteristic, complemented
39C2×#14581764C2211yescharacteristic
40C2×#14581760C2211yescharacteristic
41C2×#14581760C2211yescharacteristic
42C2×C4×D332C2211yescharacteristic
43C2×D4×Dic83C2211yescharacteristic
44C2×#14581754C2211yescharacteristic
45C2×C4×C22⋊D83C2211yescharacteristic
46C2×C4×C22⋊D83C2211yescharacteristic
47C2×C4×C22⋊D83C2211yescharacteristic
48C2×C4×C22⋊D83C2211yescharacteristic, complemented
49C2×(C22⋊D83)⋊C4C2211yescharacteristic
50C2×(C22⋊D83)⋊C4C2211yescharacteristic
51C4×D4×D83—28no—
52C22×Dic83⋊C4C2211yescharacteristic, complemented
53C2×C4⋊C4×D83C2211yescharacteristic
54C22×(C2×D83)⋊C4C2211yescharacteristic
55C22×(C2×D83)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D83C2211yescharacteristic
57C2×C22⋊C4×D83C2211yescharacteristic
58C2×C42×D83C2211yescharacteristic
59#19127640C2211yescharacteristic, complemented
60#19127637C2211yescharacteristic, complemented
61#19127636C2211yescharacteristic, complemented
62#19127636C2211yescharacteristic, complemented
63#19127634C2211yescharacteristic, complemented
64#19127632C2211yescharacteristic, complemented
65#19127631C2211yescharacteristic, complemented
66#19127631C2211yescharacteristic, complemented
67#19127629C2211yescharacteristic, complemented
68#19127629C2211yescharacteristic, complemented
69#19127629C2211yescharacteristic, complemented
70#19127627C2211yescharacteristic, complemented
71#19127627C2211yescharacteristic, complemented
72#19127627C2211yescharacteristic, complemented
73#19127624C2211yescharacteristic, complemented
74#19127623C2211yescharacteristic, complemented
75#19127623C2211yescharacteristic, complemented
76#19127623C2211yescharacteristic, complemented
77#19127620C2211yescharacteristic, complemented
78#19127618C2211yescharacteristic
79#19127618C2211yescharacteristic
80#19127618C2211yescharacteristic
81#19127617C2211yescharacteristic, complemented
82#19127617C2211yescharacteristic, complemented
83#19127617C2211yescharacteristic, complemented
84#19127616C2211yescharacteristic
85#19127616C2211yescharacteristic
86#19127616C2211yescharacteristic
87#19127615C2211yescharacteristic, complemented
88#19127612C2211yescharacteristic, complemented
89#19127610C2211yescharacteristic
90#19127609C2211yescharacteristic
91#19127597C2211yescharacteristic, complemented
92#19127597C2211yescharacteristic, complemented
93#19127596C2211yescharacteristic, complemented
94#19127596C2211yescharacteristic, complemented
95#19127594C2211yescharacteristic, complemented
96#19127594C2211yescharacteristic, complemented
97#19127592C2211yescharacteristic, complemented
98#19127591C2211yescharacteristic, complemented
99#19127591C2211yescharacteristic, complemented
100#19127589C2211yescharacteristic, complemented
101#19127589C2211yescharacteristic, complemented
102#19127589C2211yescharacteristic, complemented
103#19127587C2211yescharacteristic, complemented
104#19127587C2211yescharacteristic, complemented
105#19127585C2211yescharacteristic, complemented
106#19127582C2211yescharacteristic, complemented
107#19127582C2211yescharacteristic, complemented
108#19127582C2211yescharacteristic, complemented
109#19127582C2211yescharacteristic, complemented
110#19127582C2211yescharacteristic, complemented
111#19127582C2211yescharacteristic, complemented
112#19127582C2211yescharacteristic, complemented
113#19127581C2211yescharacteristic
114#19127581C2211yescharacteristic
115#19127581C2211yescharacteristic, complemented
116#19127581C2211yescharacteristic, complemented
117#19127580C2211yescharacteristic
118#19127580C2211yescharacteristic, complemented
119#19127578C2211yescharacteristic
120#19127577C2211yescharacteristic
121#19127577C2211yescharacteristic
122#19127577C2211yescharacteristic
123#19127577C2211yescharacteristic
124#19127577C2211yescharacteristic, complemented
125#19127577C2211yescharacteristic, complemented
126#19127577C2211yescharacteristic, complemented
127#19127576C2211yescharacteristic, complemented
128#19127576C2211yescharacteristic, complemented
129#19127574C2211yescharacteristic, complemented
130#19127574C2211yescharacteristic, complemented
131#19127573C2211yescharacteristic, complemented
132#19127573C2211yescharacteristic, complemented
133#19127573C2211yescharacteristic, complemented
134#19127572C2211yescharacteristic
135#19127572C2211yescharacteristic
136#19127572C2211yescharacteristic
137#19127572C2211yescharacteristic
138#19127572C2211yescharacteristic
139#19127572C2211yescharacteristic
140#19127572C2211yescharacteristic
141#19127572C2211yescharacteristic
142#19127572C2211yescharacteristic
143#19127572C2211yescharacteristic
144#19127572C2211yescharacteristic, complemented
145#19127572C2211yescharacteristic, complemented
146#19127572C2211yescharacteristic, complemented
147#19127572C2211yescharacteristic, complemented
148#19127572C2211yescharacteristic, complemented
149#19127572C2211yescharacteristic, complemented
150#19127572C2211yescharacteristic, complemented
151#19127572C2211yescharacteristic, complemented
152#19127572C2211yescharacteristic, complemented
153#19127569C2211yescharacteristic, complemented
154#19127567C2211yescharacteristic, complemented
155#19127564C2211yescharacteristic, complemented
156#19127564C2211yescharacteristic, complemented
157#19127562C2211yescharacteristic, complemented
158#19127561C2211yescharacteristic, complemented
159#19127559C2211yescharacteristic, complemented
160#19127558C2211yescharacteristic
161#19127558C2211yescharacteristic
162#19127558C2211yescharacteristic
163#19127558C2211yescharacteristic, complemented
164#19127556C2211yescharacteristic
165#19127556C2211yescharacteristic
166#19127556C2211yescharacteristic
167#19127556C2211yescharacteristic
168C4×(C2×D83)⋊C4C2211yescharacteristic
169C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
170C4×C22⋊Dic83C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
172C2×C83⋊#95C2211yescharacteristic, complemented
173#539×C83—28no—
174C2×#126×C83C2211yescharacteristic, complemented
175C2×#126×C83C2211yescharacteristic, complemented
176C2×#125×C83C2211yescharacteristic, complemented
177C2×#125×C83C2211yescharacteristic, complemented
178C2×#123×C83C2211yescharacteristic
179C2×#123×C83C2211yescharacteristic, complemented
180C2×#123×C83C2211yescharacteristic, complemented
181C2×#123×C83C2211yescharacteristic, complemented
182C2×C22⋊Q8×C83C2211yescharacteristic, complemented
183C2×C22⋊Q8×C83C2211yescharacteristic, complemented
184C2×C22⋊Q8×C83C2211yescharacteristic, complemented
185C2×#121×C83C2211yescharacteristic
186C2×C4×D4×C83C2211yescharacteristic
187C2×C4×D4×C83C2211yescharacteristic, complemented
188C22×C4⋊C4×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C2×D4×D83—24no—
198C2×D4×D83—24no—
199C2×D4×D83—24no—
200C23×Dic83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C22×C4×D83—24no—
205C22×C4×D83—24no—
206C22×C4×D83—42no—
207C22×C4×D83—42no—
208C22×C4×D83—42no—
209C22×C4×D83—42no—
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219#14581775—24no—
220#14581773—42no—
221#14581768—42no—
222#14581768—42no—
223#14581764—24no—
224#14581760—24no—
225#14581760—42no—
226C4×D332—24no—
227D4×Dic83—24no—
228#14581754—24no—
229C4×C22⋊D83—24no—
230C4×C22⋊D83—24no—
231C4×C22⋊D83—42no—
232C4×C22⋊D83—42no—
233(C22⋊D83)⋊C4—24no—
234(C22⋊D83)⋊C4—24no—
235C2×C4⋊Dic83C2311yescharacteristic
236C2×C4⋊Dic83C2311yescharacteristic
237C2×C4⋊Dic83C2311yescharacteristic
238C2×C4⋊Dic83C2311yescharacteristic
239C2×C4⋊Dic83C2311yescharacteristic
240C2×Dic83⋊C4—42no—
241C2×Dic83⋊C4C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C4⋊C4×D83—24no—
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×(C2×D83)⋊C4—24no—
271C2×(C2×D83)⋊C4—42no—
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C22⋊C4×D83—24no—
298C22⋊C4×D83—24no—
299C2×C4×Dic83C2311yescharacteristic
300C2×C4×Dic83C2311yescharacteristic
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C42×D83—24no—
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
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C22×Q8×C83C2311yescharacteristic
342C22×D4×C83C2311yescharacteristic
343C22×D4×C83C2311yescharacteristic
344C22×D4×C83C2311yescharacteristic
345C23×C4×C83C2311yescharacteristic
346C23×C4×C83C2311yescharacteristic
347C23×C4×C83C2311yescharacteristic
348C23×C4×C83C2311yescharacteristic
349C23×C4×C83C2311yescharacteristic
350#126×C83—24no—
351#126×C83—24no—
352#125×C83—24no—
353#125×C83—24no—
354#123×C83—24no—
355#123×C83—24no—
356#123×C83—24no—
357#123×C83—24no—
358C22⋊Q8×C83—24no—
359C22⋊Q8×C83—24no—
360C22⋊Q8×C83—24no—
361#121×C83—24no—
362C4×D4×C83—24no—
363C4×D4×C83D418yescomplemented
364C2×C4⋊C4×C83—24no—
365C2×C4⋊C4×C83C2311yescharacteristic
366C2×C4⋊C4×C83C2311yescharacteristic
367C2×C4⋊C4×C83C2311yescharacteristic
368C2×C4⋊C4×C83C2311yescharacteristic
369C2×C4⋊C4×C83C2311yescharacteristic
370C2×C4⋊C4×C83C2311yescharacteristic
371C2×C4⋊C4×C83C2311yescharacteristic
372C2×C4⋊C4×C83C2311yescharacteristic
373C2×C4⋊C4×C83C2311yescharacteristic
374C2×C4⋊C4×C83C2311yescharacteristic
375C2×C4⋊C4×C83C2311yescharacteristic
376C2×C4⋊C4×C83C2311yescharacteristic
377C2×C4⋊C4×C83C2311yescharacteristic
378C2×C4⋊C4×C83C2311yescharacteristic
379C2×C22⋊C4×C83C2311yescharacteristic
380C2×C22⋊C4×C83C2311yescharacteristic
381C2×C22⋊C4×C83C2311yescharacteristic
382C2×C22⋊C4×C83C2311yescharacteristic
383C2×C22⋊C4×C83C2311yescharacteristic
384C2×C22⋊C4×C83C2311yescharacteristic
385C2×C22⋊C4×C83C2311yescharacteristic
386C2×C22⋊C4×C83C2311yescharacteristic
387C2×C22⋊C4×C83C2311yescharacteristic
388C2×C22⋊C4×C83C2311yescharacteristic
389C2×C42×C83C2311yescharacteristic
390C2×C42×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—22no—
393C23×D83—22no—
394C23×D83—22no—
395C23×D83—22no—
396C23×D83—22no—
397C23×D83—22no—
398C23×D83—22no—
399C23×D83—22no—
400C23×D83—41no—
401C23×D83—41no—
402C23×D83—41no—
403C23×D83—41no—
404C23×D83#4114yes—
405C23×D83C2411yescharacteristic
406C23×D83C2411yescharacteristic
407C23×D83C2411yescharacteristic
408C2×D332—22no—
409C2×D332—22no—
410C2×D332—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—22no—
415C2×C22⋊D83—22no—
416C2×C22⋊D83—22no—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—22no—
420C2×C22⋊D83—22no—
421C2×C22⋊D83—41no—
422C2×C22⋊D83—41no—
423C2×C22⋊D83—41no—
424C2×C22⋊D83—41no—
425C2×C22⋊D83#4114yes—
426D4×D83—232no—
427C22×Dic83—22no—
428C22×Dic83—22no—
429C22×Dic83—22no—
430C22×Dic83—22no—
431C22×Dic83—22no—
432C22×Dic83—22no—
433C22×Dic83—41no—
434C22×Dic83—41no—
435C22×Dic83—41no—
436C22×Dic83—41no—
437C22×Dic83—41no—
438C22×Dic83—41no—
439C22×Dic83C2411yescharacteristic
440C22×Dic83C2411yescharacteristic
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C22×Dic83C2411yescharacteristic
448C22×Dic83C2411yescharacteristic
449C22×Dic83C2411yescharacteristic
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C2×C4×D83—22no—
453C2×C4×D83—22no—
454C2×C4×D83—22no—
455C2×C4×D83—22no—
456C2×C4×D83—22no—
457C2×C4×D83—22no—
458C2×C4×D83—22no—
459C2×C4×D83—22no—
460C2×C4×D83—22no—
461C2×C4×D83—22no—
462C2×C4×D83—22no—
463C2×C4×D83—22no—
464C2×C4×D83—22no—
465C2×C4×D83—22no—
466C2×C4×D83—22no—
467C2×C4×D83—22no—
468C2×C4×D83—22no—
469C2×C4×D83—22no—
470C2×C4×D83—416no—
471C2×C4×D83—416no—
472C2×C4×D83—41no—
473C2×C4×D83—41no—
474C2×C4×D83—41no—
475C2×C4×D83—41no—
476C2×C4×D83—41no—
477C2×C4×D83—41no—
478C2×C4×D83—41no—
479C2×C4×D83—41no—
480C2×C4×D83—41no—
481C4⋊Dic83—22no—
482C4⋊Dic83—41no—
483C4⋊Dic83—41no—
484C4⋊Dic83—41no—
485C4⋊Dic83—41no—
486Dic83⋊C4—22no—
487Dic83⋊C4—22no—
488Dic83⋊C4—22no—
489Dic83⋊C4—22no—
490Dic83⋊C4—22no—
491Dic83⋊C4—22no—
492Dic83⋊C4—22no—
493Dic83⋊C4—22no—
494Dic83⋊C4—41no—
495Dic83⋊C4—41no—
496Dic83⋊C4—41no—
497Dic83⋊C4—41no—
498Dic83⋊C4—41no—
499Dic83⋊C4—41no—
500Dic83⋊C4—41no—
501C22⋊Dic83—22no—
502C22⋊Dic83—22no—
503C22⋊Dic83—22no—
504C22⋊Dic83—22no—
505C22⋊Dic83—22no—
506C22⋊Dic83—22no—
507C22⋊Dic83—41no—
508C22⋊Dic83—41no—
509C22⋊Dic83—41no—
510C22⋊Dic83—41no—
511C22⋊Dic83—41no—
512C22⋊Dic83—41no—
513C22⋊Dic83—41no—
514(C2×D83)⋊C4—22no—
515(C2×D83)⋊C4—22no—
516(C2×D83)⋊C4—22no—
517(C2×D83)⋊C4—22no—
518(C2×D83)⋊C4—22no—
519(C2×D83)⋊C4—22no—
520(C2×D83)⋊C4—22no—
521(C2×D83)⋊C4—22no—
522(C2×D83)⋊C4—22no—
523(C2×D83)⋊C4—22no—
524(C2×D83)⋊C4—22no—
525(C2×D83)⋊C4—22no—
526(C2×D83)⋊C4—22no—
527(C2×D83)⋊C4—22no—
528(C2×D83)⋊C4—22no—
529(C2×D83)⋊C4—22no—
530(C2×D83)⋊C4—22no—
531(C2×D83)⋊C4—41no—
532(C2×D83)⋊C4—41no—
533(C2×D83)⋊C4—41no—
534(C2×D83)⋊C4—41no—
535(C2×D83)⋊C4—41no—
536(C2×D83)⋊C4—41no—
537(C2×D83)⋊C4—41no—
538(C2×D83)⋊C4—41no—
539C4×Dic83—22no—
540C4×Dic83—22no—
541C4×Dic83—22no—
542C4×Dic83—41no—
543C4×Dic83—41no—
544C24×C83C2411yescharacteristic
545C24×C83C2411yescharacteristic
546C24×C83C2411yescharacteristic
547C2×Q8×C83—22no—
548C2×Q8×C83—41no—
549C2×Q8×C83—41no—
550C2×D4×C83—22no—
551C2×D4×C83—22no—
552C2×D4×C83—22no—
553C2×D4×C83—22no—
554C2×D4×C83—22no—
555C2×D4×C83—22no—
556C2×D4×C83—41no—
557C2×D4×C83—41no—
558C2×D4×C83C2×D414yes—
559C22×C4×C83—22no—
560C22×C4×C83—22no—
561C22×C4×C83—22no—
562C22×C4×C83—22no—
563C22×C4×C83—22no—
564C22×C4×C83—41no—
565C22×C4×C83—41no—
566C22×C4×C83—41no—
567C22×C4×C83—41no—
568C22×C4×C83—41no—
569C22×C4×C83—41no—
570C22×C4×C83—41no—
571C22×C4×C83—41no—
572C22×C4×C83C2×D414yes—
573C22×C4×C83C2×D414yes—
574C22×C4×C83C2411yescharacteristic
575C22×C4×C83C2411yescharacteristic
576C22×C4×C83C2411yescharacteristic
577C22×C4×C83C2411yescharacteristic
578C22×C4×C83C2411yescharacteristic
579C22×C4×C83C2411yescharacteristic
580C22×C4×C83C2411yescharacteristic
581C22×C4×C83C2411yescharacteristic
582C22×C4×C83C2411yescharacteristic
583C22×C4×C83C2411yescharacteristic
584C22×C4×C83C2411yescharacteristic
585C22×C4×C83C2411yescharacteristic
586C4⋊C4×C83—22no—
587C4⋊C4×C83—22no—
588C4⋊C4×C83—22no—
589C4⋊C4×C83—22no—
590C4⋊C4×C83—22no—
591C4⋊C4×C83—22no—
592C4⋊C4×C83—22no—
593C4⋊C4×C83—22no—
594C4⋊C4×C83—22no—
595C4⋊C4×C83—22no—
596C4⋊C4×C83—22no—
597C4⋊C4×C83—22no—
598C4⋊C4×C83—22no—
599C4⋊C4×C83C2×D414yes—
600C22⋊C4×C83—22no—
601C22⋊C4×C83—22no—
602C22⋊C4×C83—22no—
603C22⋊C4×C83—22no—
604C22⋊C4×C83—22no—
605C22⋊C4×C83—22no—
606C22⋊C4×C83—22no—
607C22⋊C4×C83—22no—
608C22⋊C4×C83C2×D414yes—
609C22⋊C4×C83C2×D414yes—
610C42×C83—22no—
611C42×C83C2×D414yes—
612C23×C83—21no—
613C23×C83—21no—
614C23×C83—21no—
615C23×C83—21no—
616C23×C83—21no—
617C23×C83—21no—
618C23×C83—21no—
619C23×C83—21no—
620C23×C83—21no—
621C23×C83—21no—
622C23×C83—21no—
623C23×C83—21no—
624C23×C83—21no—
625C23×C83—21no—
626C23×C83—21no—
627C23×C83—21no—
628C23×C83—21no—
629C23×C83C22×D412yes—
630C23×C83C22×D412yes—
631C23×C83C2×#4112yes—
632C23×C83C2×#4112yes—
633C23×C83C2511yescharacteristic
634C22×D83—21no—
635C22×D83—21no—
636C22×D83—21no—
637C22×D83—21no—
638C22×D83—28no—
639C22×D83—28no—
640C22×D83—21no—
641C22×D83—21no—
642C22×D83—21no—
643C22×D83—21no—
644C22×D83—21no—
645C22×D83—21no—
646C22×D83—21no—
647C22×D83—21no—
648C22×D83—21no—
649C22×D83—21no—
650C22×D83—21no—
651C22×D83—21no—
652C22×D83—28no—
653C22×D83—44no—
654C22×D83—44no—
655C22×D83—44no—
656C22×D83—44no—
657C22×D83—44no—
658C22×D83—44no—
659C22×D83—44no—
660C22×D83—44no—
661C22×D83—44no—
662C22×D83—44no—
663C22×D83—44no—
664C22×D83C2×#4112yes—
665C22×D83C2×#4112yes—
666C22×D83C2×#4112yes—
667C22×D83H(5,𝔽2)12yes—
668C22×D832−1+412yes—
669Q8×C83—82no—
670D4×C83—28no—
671D4×C83—44no—
672D4×C83—82no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—21no—
679C2×C4×C83—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—21no—
685C2×C4×C83—21no—
686C2×C4×C83—21no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—21no—
690C2×C4×C83—21no—
691C2×C4×C83—21no—
692C2×C4×C83—21no—
693C2×C4×C83—21no—
694C2×C4×C83—21no—
695C2×C4×C83—21no—
696C2×C4×C83—21no—
697C2×C4×C83—21no—
698C2×C4×C83—21no—
699C2×C4×C83—21no—
700C2×C4×C83—21no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—44no—
705C2×C4×C83—44no—
706C2×C4×C83—44no—
707C2×C4×C83—82no—
708C2×C4×C83—82no—
709C2×C4×C83C22×D412yes—
710C2×C4×C83C22×D412yes—
711C2×C4×C83C22×D412yes—
712C2×C4×C83C22×D412yes—
713C2×C4×C83C22×D412yes—
714C22⋊D83—28no—
715C22⋊D83—28no—
716C22⋊D83—44no—
717C22⋊D83—44no—
718C22⋊D83—82no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—21no—
725C2×Dic83—21no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—21no—
729C2×Dic83—21no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—21no—
735C2×Dic83—21no—
736C2×Dic83—21no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—21no—
744C2×Dic83—21no—
745C2×Dic83—21no—
746C2×Dic83—21no—
747C2×Dic83—21no—
748C2×Dic83—21no—
749C2×Dic83—21no—
750C2×Dic83—21no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—21no—
756C2×Dic83—44no—
757C2×Dic83—44no—
758C2×Dic83—44no—
759C2×Dic83—82no—
760C2×Dic83C2×#4112yes—
761C2×Dic83H(5,𝔽2)12yes—
762D332—28no—
763C4×D83—28no—
764C4×D83—28no—
765C4×D83—44no—
766C4×D83—44no—
767C4×D83—44no—
768C4×D83—44no—
769C4×D83—44no—
770C4×D83—44no—
771C4×D83—44no—
772C22×C83—22no—
773C22×C83—22no—
774C22×C83—22no—
775C22×C83—22no—
776C22×C83—22no—
777C22×C83—22no—
778C22×C83—22no—
779C22×C83—22no—
780C22×C83—22no—
781C22×C83—41no—
782C22×C83—41no—
783C22×C83—41no—
784C22×C83—41no—
785C22×C83—41no—
786C22×C83—41no—
787C22×C83—41no—
788C22×C83—41no—
789C22×C83—41no—
790C22×C83—41no—
791C22×C83—41no—
792C22×C83#52514yes—
793C22×C83C23×D411yescharacteristic
794C22×C83C22×#4111yescharacteristic
795C22×C83C22×#4111yescharacteristic
796C22×C83C2×H(5,𝔽2)11yescharacteristic
797C22×C83C2×H(5,𝔽2)11yescharacteristic
798C22×C83C2×2−1+411yescharacteristic
799C22×C83#58511yescharacteristic
800C2×D83—22no—
801C2×D83—22no—
802C2×D83—22no—
803C2×D83—22no—
804C2×D83—22no—
805C2×D83—22no—
806C2×D83—22no—
807C2×D83—22no—
808C2×D83—22no—
809C2×D83—22no—
810C2×D83—22no—
811C2×D83—22no—
812C2×D83—416no—
813C2×D83—416no—
814C2×D83—41no—
815C2×D83—41no—
816C2×D83—41no—
817C2×D83—41no—
818C2×D83—41no—
819C2×D83—41no—
820C2×D83—41no—
821C2×D83—41no—
822C2×D83#53914yescomplemented
823C4×C83—22no—
824C4×C83—22no—
825C4×C83—22no—
826C4×C83—22no—
827C4×C83—22no—
828C4×C83—41no—
829C4×C83—41no—
830C4×C83—41no—
831C4×C83—41no—
832C4×C83—41no—
833C4×C83—41no—
834C4×C83—41no—
835Dic83—22no—
836Dic83—22no—
837Dic83—41no—
838Dic83—41no—
839Dic83—41no—
840Dic83—41no—
841Dic83—41no—
842Dic83—41no—
843Dic83—41no—
844Dic83—41no—
845Dic83—41no—
846Dic83—41no—
847Dic83—41no—
848#34991—831nomaximal, Sylow
849C2×C83—24no—
850C2×C83—42no—
851C2×C83—81no—
852C2×C83C2×#52511yescharacteristic
853C2×C83C2×#53911yescharacteristic
854C2×C83#345911yescharacteristic
855C2×C83#348411yescharacteristic
856C2×C83#348911yescharacteristic
857C2×C83#351311yescharacteristic
858C2×C83#352011yescharacteristic
859D83—24no—
860D83—42no—
861D83—42no—
862C2×#539D8311yescharacteristic, complemented
863C22×C4×D4—831no—
864#2852—831no—
865#2851—831no—
866#2849—831no—
867#2848—831no—
868#2638—831no—
869#2636—831no—
870#2633—831no—
871#2630—831no—
872#2480—831no—
873#2473—831no—
874#2466—831no—
875#2463—831no—
876#2460—831no—
877#2455—831no—
878#2449—831no—
879#2449—831no—
880#2443—831no—
881#2437—831no—
882#2425—831no—
883#2419—831no—
884#2418—831no—
885#2412—831no—
886#2410—831no—
887#2405—831no—
888#2325—831no—
889#2322—831no—
890#2318—831no—
891C4×#120—831no—
892C2×#385—831no—
893C83#3499111yescharacteristic, complemented, Sylow
894C23×D4—831no—
895C24×C4—831no—
896C24×C4—831no—
897#539—28no—
898C2×#126C2×D8311yescharacteristic, complemented
899C2×#126C2×D8311yescharacteristic, complemented
900C2×#125C2×D8311yescharacteristic, complemented
901C2×#125C2×D8311yescharacteristic, complemented
902C2×#123—831no—
903C2×#123—831no—
904C2×#123C2×D8311yescharacteristic
905C2×#123C2×D8311yescharacteristic, complemented
906C2×#123C2×D8311yescharacteristic, complemented
907C2×#123C2×D8311yescharacteristic, complemented
908C2×C22⋊Q8—831no—
909C2×C22⋊Q8—831no—
910C2×C22⋊Q8C2×D8311yescharacteristic, complemented
911C2×C22⋊Q8C2×D8311yescharacteristic, complemented
912C2×C22⋊Q8C2×D8311yescharacteristic, complemented
913C2×#121—831no—
914C2×#121C2×D8311yescharacteristic
915C2×#120—831no—
916C2×#120—831no—
917C2×C4×D4—831no—
918C2×C4×D4—831no—
919C2×C4×D4—831no—
920C2×C4×D4—831no—
921C2×C4×D4—831no—
922C2×C4×D4—831no—
923C2×C4×D4—831no—
924C2×C4×D4—831no—
925C2×C4×D4—831no—
926C2×C4×D4—1668no—
927C2×C4×D4C2×D8311yescharacteristic
928C2×C4×D4C2×D8311yescharacteristic, complemented
929C22×C4⋊C4—831no—
930C22×C4⋊C4—831no—
931C22×C4⋊C4C2×D8311yescharacteristic, complemented
932C22×C22⋊C4—831no—
933C22×C22⋊C4—831no—
934C22×C22⋊C4—831no—
935C22×C22⋊C4—831no—
936C22×C42—831no—
937#400—831no—
938#399—831no—
939#399—831no—
940#399—831no—
941#398—831no—
942#398—831no—
943#398—831no—
944#398—831no—
945#397—831no—
946#397—831no—
947#397—831no—
948#397—831no—
949#397—831no—
950#397—831no—
951#396—831no—
952#396—831no—
953#396—831no—
954#396—831no—
955#395—831no—
956#394—831no—
957#394—831no—
958#394—831no—
959#394—831no—
960#394—831no—
961#394—831no—
962#394—831no—
963#394—831no—
964#394—831no—
965#394—831no—
966#393—831no—
967#392—831no—
968#392—831no—
969#389—831no—
970#389—831no—
971#389—831no—
972#389—831no—
973#388—831no—
974#388—831no—
975#388—831no—
976#388—831no—
977#388—831no—
978#388—831no—
979#388—831no—
980#388—831no—
981#387—831no—
982#387—831no—
983#387—831no—
984#387—831no—
985#387—831no—
986#387—831no—
987#387—831no—
988#387—831no—
989#387—831no—
990#387—831no—
991#386—831no—
992#386—831no—
993#386—831no—
994#386—831no—
995#386—831no—
996#386—831no—
997#386—831no—
998#386—831no—
999#386—831no—
1000#386—831no—
1001#386—831no—
1002#386—831no—
1003#386—831no—
1004#386—831no—
1005#385—831no—
1006#385—831no—
1007#385—831no—
1008#385—831no—
1009#385—831no—
1010#385—831no—
1011#385—831no—
1012#385—831no—
1013#385—831no—
1014#385—831no—
1015#385—831no—
1016#385—831no—
1017#385—831no—
1018#385—831no—
1019#385—831no—
1020#385—831no—
1021#385—831no—
1022#385—831no—
1023#385—831no—
1024#385—831no—
1025#385—831no—
1026#385—831no—
1027#385—831no—
1028#385—831no—
1029#385—831no—
1030#385—831no—
1031#383—831no—
1032#382—831no—
1033#381—831no—
1034#381—831no—
1035#381—831no—
1036#380—831no—
1037#380—831no—
1038#380—831no—
1039#380—831no—
1040#380—831no—
1041#380—831no—
1042#379—831no—
1043#379—831no—
1044#379—831no—
1045#379—831no—
1046C4×C22⋊C4—831no—
1047C4×C22⋊C4—831no—
1048C4×C22⋊C4—831no—
1049C2×#95—831no—
1050C2×#95—831no—
1051C25—831no—
1052C25—831no—
1053C22×Q8C22×D8311yescharacteristic
1054C22×D4—831no—
1055C22×D4—831no—
1056C22×D4—831no—
1057C22×D4—831no—
1058C22×D4—831no—
1059C22×D4—831no—
1060C22×D4—1664no—
1061C22×D4—1664no—
1062C22×D4—1664no—
1063C22×D4C22×D8311yescharacteristic
1064C22×D4C22×D8311yescharacteristic
1065C22×D4C22×D8311yescharacteristic
1066C23×C4—3322no—
1067C23×C4—3322no—
1068C23×C4—3322no—
1069C23×C4—3322no—
1070C23×C4—831no—
1071C23×C4—831no—
1072C23×C4—831no—
1073C23×C4—831no—
1074C23×C4—831no—
1075C23×C4—831no—
1076C23×C4—831no—
1077C23×C4—831no—
1078C23×C4—831no—
1079C23×C4—831no—
1080C23×C4—831no—
1081C23×C4—831no—
1082C23×C4—831no—
1083C23×C4—1664no—
1084C23×C4—1664no—
1085C23×C4C22×D8311yescharacteristic
1086C23×C4C22×D8311yescharacteristic
1087C23×C4C22×D8311yescharacteristic
1088C23×C4C22×D8311yescharacteristic
1089C23×C4C22×D8311yescharacteristic
1090#126—24no—
1091#126—24no—
1092#125—24no—
1093#125—24no—
1094#123—24no—
1095#123—24no—
1096#123—24no—
1097#123—24no—
1098#123—3322no—
1099#123—1664no—
1100C22⋊Q8—24no—
1101C22⋊Q8—24no—
1102C22⋊Q8—24no—
1103C22⋊Q8—3322no—
1104C22⋊Q8—3322no—
1105#121—24no—
1106#121—1664no—
1107#120—3322no—
1108#120—1664no—
1109C4×D4—24no—
1110C4×D4—3322no—
1111C4×D4—3322no—
1112C4×D4—1664no—
1113C4×D4—1664no—
1114C4×D4—1664no—
1115C4×D4—1664no—
1116C4×D4—1664no—
1117C4×D4—1664no—
1118C4×D4—1664no—
1119C4×D4C22⋊D8318yescomplemented
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—3322no—
1122C2×C4⋊C4—831no—
1123C2×C4⋊C4—831no—
1124C2×C4⋊C4—831no—
1125C2×C4⋊C4—831no—
1126C2×C4⋊C4—831no—
1127C2×C4⋊C4—831no—
1128C2×C4⋊C4—831no—
1129C2×C4⋊C4—831no—
1130C2×C4⋊C4—831no—
1131C2×C4⋊C4—831no—
1132C2×C4⋊C4—831no—
1133C2×C4⋊C4—831no—
1134C2×C4⋊C4—831no—
1135C2×C4⋊C4—831no—
1136C2×C4⋊C4—831no—
1137C2×C4⋊C4—831no—
1138C2×C4⋊C4—831no—
1139C2×C4⋊C4—831no—
1140C2×C4⋊C4—831no—
1141C2×C4⋊C4—831no—
1142C2×C4⋊C4—1664no—
1143C2×C4⋊C4C22×D8311yescharacteristic
1144C2×C4⋊C4C22×D8311yescharacteristic
1145C2×C4⋊C4C22×D8311yescharacteristic
1146C2×C4⋊C4C22×D8311yescharacteristic
1147C2×C4⋊C4C22×D8311yescharacteristic
1148C2×C4⋊C4C22×D8311yescharacteristic
1149C2×C4⋊C4C22×D8311yescharacteristic
1150C2×C4⋊C4C22×D8311yescharacteristic
1151C2×C4⋊C4C22×D8311yescharacteristic
1152C2×C4⋊C4C22×D8311yescharacteristic
1153C2×C4⋊C4C22×D8311yescharacteristic
1154C2×C4⋊C4C22×D8311yescharacteristic
1155C2×C4⋊C4C22×D8311yescharacteristic
1156C2×C4⋊C4C22×D8311yescharacteristic
1157C2×C22⋊C4—3322no—
1158C2×C22⋊C4—831no—
1159C2×C22⋊C4—831no—
1160C2×C22⋊C4—831no—
1161C2×C22⋊C4—831no—
1162C2×C22⋊C4—831no—
1163C2×C22⋊C4—831no—
1164C2×C22⋊C4—831no—
1165C2×C22⋊C4—831no—
1166C2×C22⋊C4—831no—
1167C2×C22⋊C4—831no—
1168C2×C22⋊C4—831no—
1169C2×C22⋊C4—831no—
1170C2×C22⋊C4—831no—
1171C2×C22⋊C4—831no—
1172C2×C22⋊C4—831no—
1173C2×C22⋊C4—831no—
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—831no—
1176C2×C22⋊C4—831no—
1177C2×C22⋊C4—831no—
1178C2×C22⋊C4—831no—
1179C2×C22⋊C4—831no—
1180C2×C22⋊C4—831no—
1181C2×C22⋊C4—831no—
1182C2×C22⋊C4—831no—
1183C2×C22⋊C4—831no—
1184C2×C22⋊C4—831no—
1185C2×C22⋊C4—831no—
1186C2×C22⋊C4—831no—
1187C2×C22⋊C4—831no—
1188C2×C22⋊C4—831no—
1189C2×C22⋊C4—831no—
1190C2×C22⋊C4—831no—
1191C2×C22⋊C4—831no—
1192C2×C22⋊C4—831no—
1193C2×C22⋊C4—831no—
1194C2×C22⋊C4—831no—
1195C2×C22⋊C4—831no—
1196C2×C22⋊C4—1664no—
1197C2×C22⋊C4—1664no—
1198C2×C22⋊C4—1664no—
1199C2×C22⋊C4C22×D8311yescharacteristic
1200C2×C22⋊C4C22×D8311yescharacteristic
1201C2×C22⋊C4C22×D8311yescharacteristic
1202C2×C22⋊C4C22×D8311yescharacteristic
1203C2×C22⋊C4C22×D8311yescharacteristic
1204C2×C22⋊C4C22×D8311yescharacteristic
1205C2×C22⋊C4C22×D8311yescharacteristic
1206C2×C22⋊C4C22×D8311yescharacteristic
1207C2×C22⋊C4C22×D8311yescharacteristic
1208C2×C22⋊C4C22×D8311yescharacteristic
1209C2×C42—831no—
1210C2×C42—831no—
1211C2×C42—831no—
1212C2×C42—831no—
1213C2×C42—831no—
1214C2×C42—1664no—
1215C2×C42C22×D8311yescharacteristic
1216C2×C42C22×D8311yescharacteristic
1217#95—831no—
1218#95—831no—
1219#95—831no—
1220#95—831no—
1221#95—831no—
1222#95—831no—
1223#95—831no—
1224#95—831no—
1225#95—831no—
1226#95—831no—
1227#95—831no—
1228#95—831no—
1229#95—831no—
1230#95—831no—
1231#95—831no—
1232#95—831no—
1233#95—831no—
1234#95—831no—
1235#95—831no—
1236#95—831no—
1237#95—831no—
1238#95—831no—
1239#95—831no—
1240#95—831no—
1241#95—831no—
1242#95—831no—
1243#95—831no—
1244#95—831no—
1245#95—831no—
1246#95—831no—
1247#95—831no—
1248#95—831no—
1249#95—831no—
1250#95—831no—
1251#95—831no—
1252#95—831no—
1253C24—3321no—
1254C24—3321no—
1255C24—3321no—
1256C24—3321no—
1257C24—834no—
1258C24—831no—
1259C24—831no—
1260C24—831no—
1261C24—1662no—
1262C24—1662no—
1263C24—1662no—
1264C24—1662no—
1265C24—1662no—
1266C24—1662no—
1267C24—1662no—
1268C24—1662no—
1269C24—1662no—
1270C24C23×D8311yescharacteristic
1271C24C23×D8311yescharacteristic
1272C24C23×D8311yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—3321no—
1285C2×D4—3321no—
1286C2×D4—3321no—
1287C2×D4—3321no—
1288C2×D4—834no—
1289C2×D4—1662no—
1290C2×D4—1662no—
1291C2×D4—1662no—
1292C2×D4—16632no—
1293C2×D4—1662no—
1294C2×D4—1662no—
1295C2×D4—1662no—
1296C2×D4—1662no—
1297C2×D4—1662no—
1298C2×D4—1662no—
1299C2×D4—1662no—
1300C2×D4—1662no—
1301C2×D4—1662no—
1302C2×D4—1662no—
1303C2×D4C2×C22⋊D8314yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
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—33216no—
1327C22×C4—33216no—
1328C22×C4—3321no—
1329C22×C4—3321no—
1330C22×C4—3321no—
1331C22×C4—3321no—
1332C22×C4—3321no—
1333C22×C4—3321no—
1334C22×C4—831no—
1335C22×C4—831no—
1336C22×C4—831no—
1337C22×C4—831no—
1338C22×C4—831no—
1339C22×C4—831no—
1340C22×C4—831no—
1341C22×C4—831no—
1342C22×C4—831no—
1343C22×C4—831no—
1344C22×C4—831no—
1345C22×C4—831no—
1346C22×C4—831no—
1347C22×C4—1662no—
1348C22×C4—1662no—
1349C22×C4—1662no—
1350C22×C4—1662no—
1351C22×C4—1662no—
1352C22×C4—1662no—
1353C22×C4—1662no—
1354C22×C4—1662no—
1355C22×C4—1662no—
1356C22×C4—1662no—
1357C22×C4—1662no—
1358C22×C4—1662no—
1359C22×C4—1662no—
1360C22×C4—1662no—
1361C22×C4—1662no—
1362C22×C4—1662no—
1363C22×C4—1662no—
1364C22×C4—1662no—
1365C22×C4—1662no—
1366C22×C4—1662no—
1367C22×C4—1662no—
1368C22×C4—1662no—
1369C22×C4—1662no—
1370C22×C4—1662no—
1371C22×C4C2×C22⋊D8314yes—
1372C22×C4C2×C22⋊D8314yes—
1373C22×C4C23×D8311yescharacteristic
1374C22×C4C23×D8311yescharacteristic
1375C22×C4C23×D8311yescharacteristic
1376C22×C4C23×D8311yescharacteristic
1377C22×C4C23×D8311yescharacteristic
1378C22×C4C23×D8311yescharacteristic
1379C22×C4C23×D8311yescharacteristic
1380C22×C4C23×D8311yescharacteristic
1381C22×C4C23×D8311yescharacteristic
1382C22×C4C23×D8311yescharacteristic
1383C22×C4C23×D8311yescharacteristic
1384C22×C4C23×D8311yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—3321no—
1399C4⋊C4—3321no—
1400C4⋊C4—3321no—
1401C4⋊C4—3321no—
1402C4⋊C4—3321no—
1403C4⋊C4—3321no—
1404C4⋊C4—3321no—
1405C4⋊C4—3321no—
1406C4⋊C4—3321no—
1407C4⋊C4—3321no—
1408C4⋊C4—3321no—
1409C4⋊C4—1662no—
1410C4⋊C4—1662no—
1411C4⋊C4—1662no—
1412C4⋊C4—1662no—
1413C4⋊C4—1662no—
1414C4⋊C4—1662no—
1415C4⋊C4—1662no—
1416C4⋊C4—1662no—
1417C4⋊C4—1662no—
1418C4⋊C4C2×C22⋊D8314yes—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—3321no—
1428C22⋊C4—3321no—
1429C22⋊C4—3321no—
1430C22⋊C4—3321no—
1431C22⋊C4—3321no—
1432C22⋊C4—3321no—
1433C22⋊C4—3321no—
1434C22⋊C4—3321no—
1435C22⋊C4—3321no—
1436C22⋊C4—3321no—
1437C22⋊C4—3321no—
1438C22⋊C4—3321no—
1439C22⋊C4—3321no—
1440C22⋊C4—3321no—
1441C22⋊C4—3321no—
1442C22⋊C4—1662no—
1443C22⋊C4—1662no—
1444C22⋊C4—1662no—
1445C22⋊C4—1662no—
1446C22⋊C4—1662no—
1447C22⋊C4—1662no—
1448C22⋊C4—1662no—
1449C22⋊C4—1662no—
1450C22⋊C4—1662no—
1451C22⋊C4—1662no—
1452C22⋊C4—1662no—
1453C22⋊C4—1662no—
1454C22⋊C4—1662no—
1455C22⋊C4—1662no—
1456C22⋊C4—1662no—
1457C22⋊C4—1662no—
1458C22⋊C4—1662no—
1459C22⋊C4—1662no—
1460C22⋊C4—1662no—
1461C22⋊C4—1662no—
1462C22⋊C4—1662no—
1463C22⋊C4—1662no—
1464C22⋊C4—1662no—
1465C22⋊C4C2×C22⋊D8314yes—
1466C22⋊C4C2×C22⋊D8314yes—
1467C42—22no—
1468C42—3321no—
1469C42—3321no—
1470C42—1662no—
1471C42—1662no—
1472C42—1662no—
1473C42C2×C22⋊D8314yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—3324no—
1492C23—3324no—
1493C23—3324no—
1494C23—3324no—
1495C23—3324no—
1496C23—3324no—
1497C23—3324no—
1498C23—3324no—
1499C23—3324no—
1500C23—3324no—
1501C23—3324no—
1502C23—832no—
1503C23—832no—
1504C23—832no—
1505C23—832no—
1506C23—832no—
1507C23—1668no—
1508C23—1668no—
1509C23—1668no—
1510C23—1661no—
1511C23—1661no—
1512C23—1661no—
1513C23—1661no—
1514C23—1661no—
1515C23—1661no—
1516C23—1661no—
1517C23—1661no—
1518C23—1661no—
1519C23—1661no—
1520C23—1661no—
1521C23—1661no—
1522C23—1661no—
1523C23—1661no—
1524C23—1661no—
1525C23—1661no—
1526C23C22×C22⋊D8312yes—
1527C23C22×C22⋊D8312yes—
1528C23#41×D8312yes—
1529C23#41×D8312yes—
1530C23C24×D8311yescharacteristic
1531Q8—82no—
1532D4—28no—
1533D4—44no—
1534D4—82no—
1535D4—3324no—
1536D4—3324no—
1537D4—6642no—
1538D4—1668no—
1539D4—1668no—
1540D4—1668no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—82no—
1576C2×C4—82no—
1577C2×C4—3324no—
1578C2×C4—3324no—
1579C2×C4—3324no—
1580C2×C4—3324no—
1581C2×C4—3324no—
1582C2×C4—3324no—
1583C2×C4—3324no—
1584C2×C4—3324no—
1585C2×C4—3324no—
1586C2×C4—3324no—
1587C2×C4—832no—
1588C2×C4—832no—
1589C2×C4—6642no—
1590C2×C4—1668no—
1591C2×C4—1668no—
1592C2×C4—1661no—
1593C2×C4—1661no—
1594C2×C4—1661no—
1595C2×C4—1661no—
1596C2×C4—1661no—
1597C2×C4—1661no—
1598C2×C4—1661no—
1599C2×C4—1661no—
1600C2×C4—1661no—
1601C2×C4—1661no—
1602C2×C4—1661no—
1603C2×C4—1661no—
1604C2×C4—1661no—
1605C2×C4—1661no—
1606C2×C4—1661no—
1607C2×C4—1661no—
1608C2×C4—1661no—
1609C2×C4—1661no—
1610C2×C4—1661no—
1611C2×C4—1661no—
1612C2×C4—1661no—
1613C2×C4—1661no—
1614C2×C4—1661no—
1615C2×C4—1661no—
1616C2×C4—1661no—
1617C2×C4—1661no—
1618C2×C4—1661no—
1619C2×C4—1661no—
1620C2×C4—1661no—
1621C2×C4—1661no—
1622C2×C4—1661no—
1623C2×C4—1661no—
1624C2×C4—1661no—
1625C2×C4—1661no—
1626C2×C4—1661no—
1627C2×C4—1661no—
1628C2×C4—1661no—
1629C2×C4C22×C22⋊D8312yes—
1630C2×C4C22×C22⋊D8312yes—
1631C2×C4C22×C22⋊D8312yes—
1632C2×C4C22×C22⋊D8312yes—
1633C2×C4C22×C22⋊D8312yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—33216no—
1655C22—33216no—
1656C22—3321no—
1657C22—3321no—
1658C22—3321no—
1659C22—3321no—
1660C22—3321no—
1661C22—3321no—
1662C22—3321no—
1663C22—3321no—
1664C22—834no—
1665C22—1662no—
1666C22—1662no—
1667C22—1662no—
1668C22—1662no—
1669C22—1662no—
1670C22—1662no—
1671C22—1662no—
1672C22—1662no—
1673C22—1662no—
1674C22—1662no—
1675C22—1662no—
1676C22—1662no—
1677C22#1912820814yes—
1678C22C23×C22⋊D8311yescharacteristic
1679C22C2×#41×D8311yescharacteristic
1680C22C2×#41×D8311yescharacteristic
1681C22H(5,𝔽2)×D8311yescharacteristic
1682C22H(5,𝔽2)×D8311yescharacteristic
1683C222−1+4×D8311yescharacteristic
1684C22#1912853811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—3321no—
1698C4—3321no—
1699C4—3321no—
1700C4—3321no—
1701C4—3321no—
1702C4—3321no—
1703C4—3321no—
1704C4—3321no—
1705C4—3321no—
1706C4—3321no—
1707C4—3321no—
1708C4—1662no—
1709C4—1662no—
1710C2—24no—
1711C2—42no—
1712C2—81no—
1713C2—3322no—
1714C2—3322no—
1715C2—1664no—
1716C2C2×#1912820811yescharacteristic
1717C2#539×D8311yescharacteristic
1718C2#2492087111yescharacteristic
1719C2#2492109411yescharacteristic
1720C2#2492113611yescharacteristic
1721C2#2492139311yescharacteristic
1722C2#2492150411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC2×#539×C83C2
prime radical#24910834C2
hypercenterC2×#539D83
hypocenterC83#34991
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C2×C4×D4×D83C2semidirect
2. #24915775C2semidirect
3. #24915768C2semidirect
4. #24915752C2semidirect
5. #24915747C2semidirect
6. #24913381C2semidirect
7. #24913360C2semidirect
8. #24913332C2semidirect
9. #24913302C2semidirect
10. #24911705C2semidirect
11. #24911600C2semidirect
12. #24911495C2semidirect
13. #24911456C2semidirect
14. #24911411C2semidirect
15. #24911342C2semidirect
16. #24911269C2semidirect
17. #24911268C2semidirect
18. #24911194C2semidirect
19. #24911126C2semidirect
20. #24911010C2semidirect
21. #24910936C2semidirect
22. #24910922C2semidirect
23. #24910855C2semidirect
25. #24910787C2semidirect
26. #24910161C2semidirect
27. #24910132C2semidirect
28. #24910096C2semidirect
29. C4×#14581760C2semidirect
30. C2×#19127572C2semidirect
31. C2×#539×C83C2semidirect
36. C2×#14581773C22semidirect
38. C2×#14581768C22semidirect
48. C2×C4×C22⋊D83C22semidirect
52. C22×Dic83⋊C4C22semidirect
59. #19127640C22semidirect
60. #19127637C22semidirect
61. #19127636C22semidirect
62. #19127636C22semidirect
63. #19127634C22semidirect
64. #19127632C22semidirect
65. #19127631C22semidirect
66. #19127631C22semidirect
67. #19127629C22semidirect
68. #19127629C22semidirect
69. #19127629C22semidirect
70. #19127627C22semidirect
71. #19127627C22semidirect
72. #19127627C22semidirect
73. #19127624C22semidirect
74. #19127623C22semidirect
75. #19127623C22semidirect
76. #19127623C22semidirect
77. #19127620C22semidirect
81. #19127617C22semidirect
82. #19127617C22semidirect
83. #19127617C22semidirect
87. #19127615C22semidirect
88. #19127612C22semidirect
91. #19127597C22semidirect
92. #19127597C22semidirect
93. #19127596C22semidirect
94. #19127596C22semidirect
95. #19127594C22semidirect
96. #19127594C22semidirect
97. #19127592C22semidirect
98. #19127591C22semidirect
99. #19127591C22semidirect
100. #19127589C22semidirect
101. #19127589C22semidirect
102. #19127589C22semidirect
103. #19127587C22semidirect
104. #19127587C22semidirect
105. #19127585C22semidirect
106. #19127582C22semidirect
107. #19127582C22semidirect
108. #19127582C22semidirect
109. #19127582C22semidirect
110. #19127582C22semidirect
111. #19127582C22semidirect
112. #19127582C22semidirect
115. #19127581C22semidirect
116. #19127581C22semidirect
118. #19127580C22semidirect
124. #19127577C22semidirect
125. #19127577C22semidirect
126. #19127577C22semidirect
127. #19127576C22semidirect
128. #19127576C22semidirect
129. #19127574C22semidirect
130. #19127574C22semidirect
131. #19127573C22semidirect
132. #19127573C22semidirect
133. #19127573C22semidirect
144. #19127572C22semidirect
145. #19127572C22semidirect
146. #19127572C22semidirect
147. #19127572C22semidirect
148. #19127572C22semidirect
149. #19127572C22semidirect
150. #19127572C22semidirect
151. #19127572C22semidirect
152. #19127572C22semidirect
153. #19127569C22semidirect
154. #19127567C22semidirect
155. #19127564C22semidirect
156. #19127564C22semidirect
157. #19127562C22semidirect
158. #19127561C22semidirect
159. #19127559C22semidirect
163. #19127558C22semidirect
169. C4×(C2×D83)⋊C4C22semidirect
170. C4×C22⋊Dic83C22semidirect
171. C2×C83⋊#95C22semidirect
172. C2×C83⋊#95C22semidirect
174. C2×#126×C83C22semidirect
175. C2×#126×C83C22semidirect
176. C2×#125×C83C22semidirect
177. C2×#125×C83C22semidirect
179. C2×#123×C83C22semidirect
180. C2×#123×C83C22semidirect
181. C2×#123×C83C22semidirect
182. C2×C22⋊Q8×C83C22semidirect
183. C2×C22⋊Q8×C83C22semidirect
184. C2×C22⋊Q8×C83C22semidirect
187. C2×C4×D4×C83C22semidirect
188. C22×C4⋊C4×C83C22semidirect
363. C4×D4×C83D4semidirect
822. C2×D83#539semidirect
862. C2×#539D83semidirect
893. C83#34991semidirect
898. C2×#126C2×D83semidirect
899. C2×#126C2×D83semidirect
900. C2×#125C2×D83semidirect
901. C2×#125C2×D83semidirect
905. C2×#123C2×D83semidirect
906. C2×#123C2×D83semidirect
907. C2×#123C2×D83semidirect
910. C2×C22⋊Q8C2×D83semidirect
911. C2×C22⋊Q8C2×D83semidirect
912. C2×C22⋊Q8C2×D83semidirect
928. C2×C4×D4C2×D83semidirect
931. C22×C4⋊C4C2×D83semidirect
1119. C4×D4C22⋊D83semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D832
#249157752
#249157682
#249157522
#249157472
#249133812
#249133602
#249133322
#249133022
#249117052
#249116002
#249114952
#249114562
#249114112
#249113422
#249112692
#249112682
#249111942
#249111262
#249110102
#249109362
#249109222
#249108552
#249108342
#249107872
#249101612
#249101322
#249100962
C4×#145817602
C2×#191275722
C2×#539×C832
#3499183