Finite Group Databasebeta

← #35569452

Subgroups — #35569452

Order 21248.

2568 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128369C211yesmaximal, characteristic
2#24910638C211yesmaximal, characteristic, complemented
3#24910638C211yesmaximal, characteristic, complemented
4#24910620C211yesmaximal, characteristic, complemented
5#24910616C211yesmaximal, characteristic, complemented
6#24910525C211yesmaximal, characteristic, complemented
7#24910509C211yesmaximal, characteristic, complemented
8#24910508C211yesmaximal, characteristic, complemented
9#24910504C211yesmaximal, characteristic, complemented
10#24910476C211yesmaximal, characteristic, complemented
11#24910425C211yesmaximal, characteristic, complemented
12#24910399C211yesmaximal, characteristic, complemented
13#24910398C211yesmaximal, characteristic, complemented
14#24910391C211yesmaximal, characteristic, complemented
15#24910290C211yesmaximal, characteristic, complemented
16#24910289C211yesmaximal, characteristic, complemented
17#24910229C211yesmaximal, characteristic, complemented
18#24910227C211yesmaximal, characteristic, complemented
19#24910185C211yesmaximal, characteristic, complemented
20#24910184C211yesmaximal, characteristic, complemented
21#24910184C211yesmaximal, characteristic, complemented
22#24910160C211yesmaximal, characteristic, complemented
23#24910155C211yesmaximal, characteristic, complemented
24#24910112C211yesmaximal, characteristic, complemented
25#24910098C211yesmaximal, characteristic, complemented
26#24910091C211yesmaximal, characteristic, complemented
27#24910052C211yesmaximal, characteristic, complemented
28C4×#14581764C211yesmaximal, characteristic, complemented
29#24909948C211yesmaximal, characteristic, complemented
30#24909899C211yesmaximal, characteristic, complemented
31C83×#2325C211yesmaximal, characteristic, complemented
32C22×#13050590C2211yescharacteristic
33C22×#13050589C2211yescharacteristic
34#19128369C4116yescomplemented
35C2×#14581788C2211yescharacteristic
36C2×#14581788C2211yescharacteristic
37C2×#14581788C2211yescharacteristic
38C2×#14581767C2211yescharacteristic
39C2×#14581765C2211yescharacteristic
40C2×#14581765C2211yescharacteristic
41C2×#14581764C2211yescharacteristic
42C2×#14581764C2211yescharacteristic
43C2×#14581757C2211yescharacteristic
44C2×C4×D332C2211yescharacteristic
45C2×#14581754C2211yescharacteristic
46C2×C4×C22⋊D83C2211yescharacteristic
47C2×C4×C22⋊D83C2211yescharacteristic
48C2×C4×C22⋊D83C2211yescharacteristic
49C2×C4×C22⋊D83C2211yescharacteristic
50C2×C4×C22⋊D83C2211yescharacteristic
51C2×(C22⋊D83)⋊C4C2211yescharacteristic
52C2×(C22⋊D83)⋊C4C2211yescharacteristic
53C2×(C22⋊D83)⋊C4C2211yescharacteristic
54C2×(C22⋊D83)⋊C4C2211yescharacteristic
55C2×#14581750C2211yescharacteristic
56C2×#14581748C2211yescharacteristic
57C2×C4⋊C4×D83C2211yescharacteristic
58C22×C4×Dic83C2211yescharacteristic
59#19127605C2211yescharacteristic
60#19127605C2211yescharacteristic
61#19127605C2211yescharacteristic
62#19127605C2211yescharacteristic
63#19127604C2211yescharacteristic
64#19127604C2211yescharacteristic
65#19127603C2211yescharacteristic
66#19127602C2211yescharacteristic
67#19127601C2211yescharacteristic
68#19127601C2211yescharacteristic
69#19127601C2211yescharacteristic
70#19127601C2211yescharacteristic
71#19127601C2211yescharacteristic
72#19127601C2211yescharacteristic
73#19127598C2211yescharacteristic
74#19127596C2211yescharacteristic
75#19127595C2211yescharacteristic
76#19127595C2211yescharacteristic
77#19127594C2211yescharacteristic
78#19127594C2211yescharacteristic
79#19127593C2211yescharacteristic
80#19127593C2211yescharacteristic
81#19127593C2211yescharacteristic
82#19127593C2211yescharacteristic
83#19127591C2211yescharacteristic
84#19127591C2211yescharacteristic
85#19127588C2211yescharacteristic
86#19127588C2211yescharacteristic
87#19127588C2211yescharacteristic
88#19127587C2211yescharacteristic
89#19127587C2211yescharacteristic
90#19127585C2211yescharacteristic
91#19127583C2211yescharacteristic
92#19127582C2211yescharacteristic
93#19127582C2211yescharacteristic
94#19127582C2211yescharacteristic
95#19127581C2211yescharacteristic
96#19127581C2211yescharacteristic
97#19127581C2211yescharacteristic
98#19127581C2211yescharacteristic
99#19127580C2211yescharacteristic
100#19127580C2211yescharacteristic
101#19127580C2211yescharacteristic
102#19127580C2211yescharacteristic
103#19127580C2211yescharacteristic
104#19127580C2211yescharacteristic
105#19127580C2211yescharacteristic
106#19127580C2211yescharacteristic
107#19127579C2211yescharacteristic
108#19127579C2211yescharacteristic
109#19127579C2211yescharacteristic
110#19127579C2211yescharacteristic
111#19127579C2211yescharacteristic
112#19127579C2211yescharacteristic
113#19127579C2211yescharacteristic
114#19127579C2211yescharacteristic
115#19127578C2211yescharacteristic
116#19127578C2211yescharacteristic
117#19127578C2211yescharacteristic
118#19127578C2211yescharacteristic
119#19127577C2211yescharacteristic
120#19127577C2211yescharacteristic
121#19127577C2211yescharacteristic
122#19127577C2211yescharacteristic
123#19127577C2211yescharacteristic
124#19127577C2211yescharacteristic
125#19127577C2211yescharacteristic
126#19127577C2211yescharacteristic
127#19127577C2211yescharacteristic
128#19127577C2211yescharacteristic
129#19127577C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127576C2211yescharacteristic
132#19127576C2211yescharacteristic
133#19127572C2211yescharacteristic
134#19127572C2211yescharacteristic
135#19127568C2211yescharacteristic
136#19127568C2211yescharacteristic
137#19127568C2211yescharacteristic
138#19127568C2211yescharacteristic
139#19127566C2211yescharacteristic
140#19127565C2211yescharacteristic
141#19127565C2211yescharacteristic
142#19127564C2211yescharacteristic
143#19127563C2211yescharacteristic
144#19127563C2211yescharacteristic
145#19127562C2211yescharacteristic
146#19127561C2211yescharacteristic
147#19127560C2211yescharacteristic
148#19127559C2211yescharacteristic
149#19127558C2211yescharacteristic
150#19127558C2211yescharacteristic
151C4⋊C4×Dic83C2211yescharacteristic
152C4×Dic83⋊C4C2211yescharacteristic
153C4×Dic83⋊C4C2211yescharacteristic
154#19127552C2211yescharacteristic
155C22⋊C4×Dic83C2211yescharacteristic
156C22⋊C4×Dic83C2211yescharacteristic
157C22⋊C4×Dic83C2211yescharacteristic
158C4×(C2×D83)⋊C4C2211yescharacteristic
159C4×(C2×D83)⋊C4C2211yescharacteristic
160C4×C22⋊Dic83C2211yescharacteristic
161C4×C22⋊Dic83C2211yescharacteristic
162#19127548C2211yescharacteristic
163#19127548C2211yescharacteristic
164#19127548C2211yescharacteristic
165#19127548C2211yescharacteristic
166#19127548C2211yescharacteristic
167#19127547C2211yescharacteristic
168#19127546C2211yescharacteristic
169#19127546C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171#95×D83C2211yescharacteristic
172#95×D83C2211yescharacteristic
173C2×#121×C83C2211yescharacteristic
174C2×C4×D4×C83C2211yescharacteristic
175C2×C4×D4×C83C2211yescharacteristic
176#388×C83C2211yescharacteristic
177#388×C83C2211yescharacteristic
178#387×C83C2211yescharacteristic
179#387×C83C2211yescharacteristic
180#386×C83C2211yescharacteristic
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#385×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic
186#380×C83C2211yescharacteristic
187C2×#95×C83C2211yescharacteristic
188C2×#13050590—42no—
189C2×#13050590—42no—
190C2×#13050590C2×C418yescomplemented
191C2×#13050589—42no—
192C2×#13050589—42no—
193C2×#13050589C2×C418yescomplemented
194C22×Dic166C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C22×C22⋊D83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C23×Dic83C2311yescharacteristic
210C23×Dic83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220#14581788C2×C418yescomplemented
221#14581788C2×C418yescomplemented
222#14581788C2×C418yescomplemented
223#14581767C2×C418yescomplemented
224#14581765C2×C418yescomplemented
225#14581765C2×C418yescomplemented
226#14581764C2×C418yescomplemented
227#14581764C2×C418yescomplemented
228#14581757C2×C418yescomplemented
229C4×D332—42no—
230#14581754—42no—
231C4×C22⋊D83—42no—
232C4×C22⋊D83—42no—
233C4×C22⋊D83—42no—
234C4×C22⋊D83—42no—
235C4×C22⋊D83C2×C418yescomplemented
236(C22⋊D83)⋊C4—42no—
237(C22⋊D83)⋊C4—42no—
238(C22⋊D83)⋊C4C2×C418yescomplemented
239(C22⋊D83)⋊C4C2×C418yescomplemented
240#14581750—42no—
241#14581748—42no—
242C2×C4⋊Dic83C2311yescharacteristic
243C2×C4⋊Dic83C2311yescharacteristic
244C2×C4⋊Dic83C2311yescharacteristic
245C2×C4⋊Dic83C2311yescharacteristic
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
255C4⋊C4×D83—42no—
256C2×C22⋊Dic83C2311yescharacteristic
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×(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
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×C4×Dic83—42no—
289C2×C4×Dic83C2311yescharacteristic
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C2×C4×Dic83C2311yescharacteristic
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
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
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C22×D4×C83C2311yescharacteristic
339C22×D4×C83C2311yescharacteristic
340C22×D4×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343C23×C4×C83C2311yescharacteristic
344C23×C4×C83C2311yescharacteristic
345C23×C4×C83C2311yescharacteristic
346#121×C83C2×C418yescomplemented
347C4×D4×C83—42no—
348C4×D4×C83—42no—
349C2×C4⋊C4×C83C2311yescharacteristic
350C2×C4⋊C4×C83C2311yescharacteristic
351C2×C4⋊C4×C83C2311yescharacteristic
352C2×C4⋊C4×C83C2311yescharacteristic
353C2×C4⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C42×C83C2311yescharacteristic
365C2×C42×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369#95×C83C2311yescharacteristic
370#95×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375#95×C83C2311yescharacteristic
376C23×D83C2411yescharacteristic
377C23×D83C2411yescharacteristic
378C23×D83C2411yescharacteristic
379#13050590—416no—
380#13050589—416no—
381C2×Dic166—22no—
382C2×Dic166—22no—
383C2×Dic166C22×C414yes—
384C2×D332—41no—
385C2×D332—41no—
386C2×D332—41no—
387C2×D332—41no—
388C2×D332—41no—
389C2×D332—41no—
390C2×D332C22×C414yes—
391C2×D332C22×C414yes—
392C2×D332C22×C414yes—
393C2×C22⋊D83—22no—
394C2×C22⋊D83—22no—
395C2×C22⋊D83—22no—
396C2×C22⋊D83—22no—
397C2×C22⋊D83—41no—
398C2×C22⋊D83—41no—
399C2×C22⋊D83—41no—
400C2×C22⋊D83—41no—
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—
408C2×C22⋊D83—41no—
409C2×C22⋊D83—41no—
410C2×C22⋊D83—41no—
411C2×C22⋊D83C22×C414yes—
412C2×C22⋊D83C22×C414yes—
413C2×C22⋊D83C22×C414yes—
414C2×C22⋊D83C22×C414yes—
415C2×C22⋊D83C22×C414yes—
416C2×C22⋊D83C22×C414yes—
417C2×C22⋊D83C22×C414yes—
418C2×C22⋊D83C22×C414yes—
419C2×C22⋊D83C22×C414yes—
420C22×Dic83—22no—
421C22×Dic83—22no—
422C22×Dic83—41no—
423C22×Dic83—41no—
424C22×Dic83—41no—
425C22×Dic83—41no—
426C22×Dic83—41no—
427C22×Dic83—41no—
428C22×Dic83—41no—
429C22×Dic83—41no—
430C22×Dic83C22×C414yes—
431C22×Dic83C22×C414yes—
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
440C22×Dic83C2411yescharacteristic
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C2×C4×D83—22no—
446C2×C4×D83—22no—
447C2×C4×D83—22no—
448C2×C4×D83—41no—
449C2×C4×D83—41no—
450C2×C4×D83—41no—
451C2×C4×D83—41no—
452C2×C4×D83—41no—
453C2×C4×D83—41no—
454C2×C4×D83—41no—
455C2×C4×D83—41no—
456C2×C4×D83—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83—41no—
460C2×C4×D83—41no—
461C2×C4×D83—41no—
462C2×C4×D83—41no—
463C2×C4×D83—41no—
464C2×C4×D83—41no—
465C2×C4×D83—41no—
466C2×C4×D83—41no—
467C2×C4×D83—41no—
468C2×C4×D83—41no—
469C2×C4×D83C22×C414yes—
470C2×C4×D83C22×C414yes—
471C2×C4×D83C22×C414yes—
472C4⋊Dic83—41no—
473C4⋊Dic83—41no—
474C4⋊Dic83—41no—
475C4⋊Dic83—41no—
476Dic83⋊C4—22no—
477Dic83⋊C4—22no—
478Dic83⋊C4—22no—
479Dic83⋊C4—22no—
480Dic83⋊C4—41no—
481Dic83⋊C4—41no—
482Dic83⋊C4C22×C414yes—
483Dic83⋊C4C22×C414yes—
484Dic83⋊C4C22×C414yes—
485C22⋊Dic83—41no—
486C22⋊Dic83—41no—
487C22⋊Dic83—41no—
488C22⋊Dic83—41no—
489C22⋊Dic83—41no—
490C22⋊Dic83—41no—
491C22⋊Dic83—41no—
492C22⋊Dic83—41no—
493C22⋊Dic83—41no—
494C22⋊Dic83—41no—
495C22⋊Dic83C22×C414yes—
496(C2×D83)⋊C4—22no—
497(C2×D83)⋊C4—22no—
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—
511(C2×D83)⋊C4—41no—
512(C2×D83)⋊C4—41no—
513(C2×D83)⋊C4—41no—
514(C2×D83)⋊C4C22×C414yes—
515(C2×D83)⋊C4C22×C414yes—
516(C2×D83)⋊C4C22×C414yes—
517C4×Dic83—22no—
518C4×Dic83—22no—
519C4×Dic83—22no—
520C4×Dic83—22no—
521C4×Dic83—22no—
522C4×Dic83—41no—
523C4×Dic83—41no—
524C4×Dic83—41no—
525C4×Dic83—41no—
526C4×Dic83—41no—
527C4×Dic83—41no—
528C4×Dic83—41no—
529C4×Dic83C22×C414yes—
530C4×Dic83C22×C414yes—
531C4×Dic83C22×C414yes—
532C24×C83C2411yescharacteristic
533C24×C83C2411yescharacteristic
534C24×C83C2411yescharacteristic
535C2×D4×C83—41no—
536C2×D4×C83—41no—
537C2×D4×C83—41no—
538C2×D4×C83—41no—
539C2×D4×C83—41no—
540C2×D4×C83—41no—
541C2×D4×C83C22×C414yes—
542C2×D4×C83C22×C414yes—
543C2×D4×C83C22×C414yes—
544C22×C4×C83—22no—
545C22×C4×C83—22no—
546C22×C4×C83—41no—
547C22×C4×C83—41no—
548C22×C4×C83—41no—
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—
556C22×C4×C83—41no—
557C22×C4×C83—41no—
558C22×C4×C83C22×C414yes—
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22×C4×C83C2411yescharacteristic
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564C22×C4×C83C2411yescharacteristic
565C22×C4×C83C2411yescharacteristic
566C22×C4×C83C2411yescharacteristic
567C22×C4×C83C2411yescharacteristic
568C22×C4×C83C2411yescharacteristic
569C22×C4×C83C2411yescharacteristic
570C22×C4×C83C2411yescharacteristic
571C4⋊C4×C83—22no—
572C4⋊C4×C83—41no—
573C4⋊C4×C83—41no—
574C4⋊C4×C83—41no—
575C4⋊C4×C83C22×C414yes—
576C22⋊C4×C83—22no—
577C22⋊C4×C83—41no—
578C22⋊C4×C83—41no—
579C22⋊C4×C83—41no—
580C22⋊C4×C83—41no—
581C22⋊C4×C83—41no—
582C22⋊C4×C83—41no—
583C22⋊C4×C83—41no—
584C22⋊C4×C83C22×C414yes—
585C22⋊C4×C83C22×C414yes—
586C42×C83—22no—
587C42×C83—41no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83—21no—
599C23×C83—21no—
600C23×C83—21no—
601C23×C83—21no—
602C23×C83—21no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83C23×C412yes—
607C23×C83C23×C412yes—
608C23×C83C23×C412yes—
609C23×C83C2511yescharacteristic
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—21no—
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—21no—
623C22×D83—21no—
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×D83C23×C412yes—
629C22×D83C23×C412yes—
630C22×D83C23×C412yes—
631D4×C83—44no—
632D4×C83—44no—
633D4×C83—44no—
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—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—21no—
665C2×C4×C83—44no—
666C2×C4×C83—44no—
667C2×C4×C83—82no—
668C2×C4×C83—82no—
669C2×C4×C83—82no—
670C2×C4×C83C23×C412yes—
671C2×C4×C83C23×C412yes—
672C2×C4×C83C23×C412yes—
673C2×C4×C83C23×C412yes—
674C2×C4×C83H(5,𝔽2)12yes—
675C22⋊D83—28no—
676C22⋊D83—28no—
677C22⋊D83—44no—
678C22⋊D83—44no—
679C22⋊D83—44no—
680C22⋊D83—44no—
681C22⋊D83—44no—
682C22⋊D83—44no—
683C22⋊D83—44no—
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—28no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717C2×Dic83—44no—
718C2×Dic83—44no—
719C2×Dic83—82no—
720C2×Dic83C23×C412yes—
721C2×Dic83C23×C412yes—
722C2×Dic83C23×C412yes—
723C2×Dic83C23×C412yes—
724C2×Dic83C23×C412yes—
725C2×Dic83H(5,𝔽2)12yes—
726C2×Dic83H(5,𝔽2)12yes—
727D332—44no—
728D332—44no—
729D332—44no—
730C4×D83—28no—
731C4×D83—44no—
732C4×D83—44no—
733C4×D83—82no—
734C4×D83—82no—
735C4×D83—82no—
736C4×D83—82no—
737C4×D83—82no—
738C4×D83—82no—
739Dic166—28no—
740C22×C83—22no—
741C22×C83—22no—
742C22×C83—22no—
743C22×C83—22no—
744C22×C83—22no—
745C22×C83—22no—
746C22×C83—22no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—41no—
750C22×C83—41no—
751C22×C83—41no—
752C22×C83—41no—
753C22×C83—41no—
754C22×C83—41no—
755C22×C83—41no—
756C22×C83—41no—
757C22×C83—41no—
758C22×C83—41no—
759C22×C83—41no—
760C22×C83—41no—
761C22×C83C24×C411yescharacteristic
762C22×C83C2×H(5,𝔽2)11yescharacteristic
763C22×C83C2×H(5,𝔽2)11yescharacteristic
764C22×C83C2×H(5,𝔽2)11yescharacteristic
765C22×C83#58511yescharacteristic
766C22×C83#58511yescharacteristic
767C22×C83#58511yescharacteristic
768C2×D83—22no—
769C2×D83—22no—
770C2×D83—22no—
771C2×D83—22no—
772C2×D83—22no—
773C2×D83—22no—
774C2×D83—22no—
775C2×D83—22no—
776C2×D83—22no—
777C2×D83—41no—
778C2×D83—41no—
779C2×D83—41no—
780C2×D83—41no—
781C2×D83—41no—
782C2×D83—41no—
783C2×D83—41no—
784C2×D83—41no—
785C2×D83—41no—
786C2×D83—41no—
787C2×D83—41no—
788C2×D83—41no—
789C4×C83—22no—
790C4×C83—22no—
791C4×C83—22no—
792C4×C83—22no—
793C4×C83—22no—
794C4×C83—41no—
795C4×C83—41no—
796C4×C83—41no—
797C4×C83—41no—
798C4×C83—41no—
799C4×C83—41no—
800C4×C83—41no—
801Dic83—22no—
802Dic83—22no—
803Dic83—22no—
804Dic83—22no—
805Dic83—41no—
806Dic83—41no—
807Dic83—41no—
808Dic83—41no—
809Dic83—41no—
810Dic83—41no—
811Dic83—41no—
812Dic83—41no—
813Dic83#51814yes—
814#34477—831nomaximal, Sylow
815C2×C83—42no—
816C2×C83—42no—
817C2×C83—42no—
818C2×C83C2×#51811yescharacteristic
819C2×C83#342811yescharacteristic
820C2×C83C4×H(5,𝔽2)11yescharacteristic
821C2×C83#353911yescharacteristic
822C2×C83#354211yescharacteristic
823C2×C83#354611yescharacteristic
824C2×C83#356211yescharacteristic
825D83—42no—
826D83—42no—
827D83—42no—
828C2×#550—831no—
829#2380—831no—
830#2380—831no—
831#2377—831no—
832#2377—831no—
833#2366—831no—
834#2364—831no—
835#2364—831no—
836#2363—831no—
837#2361—831no—
838#2356—831no—
839#2353—831no—
840#2353—831no—
841#2352—831no—
842#2339—831no—
843#2339—831no—
844#2333—831no—
845#2333—831no—
846#2328—831no—
847#2328—831no—
848#2328—831no—
849#2325—831no—
850#2325D8311yescharacteristic, complemented
851#2324—831no—
852#2320—831no—
853#2318—831no—
854#2318—831no—
855#2311—831no—
856C4×#121—831no—
857#2297—831no—
858#2290—831no—
859C83#3447711yescharacteristic, complemented, Sylow
860C22×#41—831no—
861C22×#41—831no—
862#550—8316no—
863C2×#127—831no—
864C2×#127—831no—
865C2×#127—831no—
866C2×#121—831no—
867C2×#121—831no—
868C2×#121—831no—
869C2×#121—831no—
870C2×#121—831no—
871C2×#121C2×D8311yescharacteristic
872C2×C4×Q8—831no—
873C2×C4×D4—831no—
874C2×C4×D4—831no—
875C2×C4×D4—831no—
876C2×C4×D4—831no—
877C2×C4×D4—831no—
878C2×C4×D4—831no—
879C2×C4×D4—831no—
880C2×C4×D4—831no—
881C2×C4×D4—831no—
882C2×C4×D4—831no—
883C2×C4×D4—831no—
884C2×C4×D4C2×D8311yescharacteristic
885C2×C4×D4C2×D8311yescharacteristic
886C2×#117—831no—
887C2×#117—831no—
888C22×C4⋊C4—831no—
889C22×C42—831no—
890#391—831no—
891#391—831no—
892#391—831no—
893#391—831no—
894#390—831no—
895#390—831no—
896#390—831no—
897#390—831no—
898#390—831no—
899#390—831no—
900#390—831no—
901#390—831no—
902#390—831no—
903#390—831no—
904#389—831no—
905#389—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#388C2×D8311yescharacteristic
917#388C2×D8311yescharacteristic
918#387—831no—
919#387—831no—
920#387—831no—
921#387—831no—
922#387—831no—
923#387—831no—
924#387—831no—
925#387—831no—
926#387—831no—
927#387—831no—
928#387C2×D8311yescharacteristic
929#387C2×D8311yescharacteristic
930#386—831no—
931#386—831no—
932#386—831no—
933#386—831no—
934#386—831no—
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#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#386—831no—
963#386—831no—
964#386—831no—
965#386—831no—
966#386C2×D8311yescharacteristic
967#386C2×D8311yescharacteristic
968#386C2×D8311yescharacteristic
969#386C2×D8311yescharacteristic
970#385—831no—
971#385—831no—
972#385—831no—
973#385—831no—
974#385C2×D8311yescharacteristic
975#385C2×D8311yescharacteristic
976#383—831no—
977#383—831no—
978#383—831no—
979#383—831no—
980#382—831no—
981#382—831no—
982#382—831no—
983#381—831no—
984#381—831no—
985#381—831no—
986#381—831no—
987#380—831no—
988#380—831no—
989#380—831no—
990#380—831no—
991#380—831no—
992#380C2×D8311yescharacteristic
993C4×C4⋊C4—831no—
994C4×C4⋊C4—831no—
995C4×C4⋊C4—831no—
996C4×C4⋊C4—831no—
997C4×C22⋊C4—831no—
998C4×C22⋊C4—831no—
999C4×C22⋊C4—831no—
1000C4×C22⋊C4—831no—
1001C4×C22⋊C4—831no—
1002C4×C22⋊C4—831no—
1003C4×C22⋊C4—831no—
1004C4×C22⋊C4—831no—
1005C4×C22⋊C4—831no—
1006C4×C22⋊C4—831no—
1007C4×C22⋊C4—831no—
1008C4×C22⋊C4—831no—
1009#376—831no—
1010#376—831no—
1011#376—831no—
1012C2×#95—831no—
1013C2×#95—831no—
1014C2×#95—831no—
1015C2×#95C2×D8311yescharacteristic
1016C2×#41—3322no—
1017C2×#41—3322no—
1018C2×#41—3322no—
1019C2×#41—3322no—
1020C2×#41—838no—
1021C2×#41—838no—
1022C22×Q8—831no—
1023C22×D4—831no—
1024C22×D4—831no—
1025C22×D4—831no—
1026C22×D4—831no—
1027C22×D4—831no—
1028C22×D4—831no—
1029C22×D4—831no—
1030C22×D4—831no—
1031C22×D4—831no—
1032C22×D4—831no—
1033C22×D4—831no—
1034C22×D4—831no—
1035C22×D4C22×D8311yescharacteristic
1036C22×D4C22×D8311yescharacteristic
1037C22×D4C22×D8311yescharacteristic
1038C23×C4—831no—
1039C23×C4—831no—
1040C23×C4—831no—
1041C23×C4—831no—
1042C23×C4—831no—
1043C23×C4—831no—
1044C23×C4—831no—
1045C23×C4—831no—
1046C23×C4—831no—
1047C23×C4—831no—
1048C23×C4—831no—
1049C23×C4—831no—
1050C23×C4—831no—
1051C23×C4C22×D8311yescharacteristic
1052C23×C4C22×D8311yescharacteristic
1053C23×C4C22×D8311yescharacteristic
1054C23×C4C22×D8311yescharacteristic
1055C23×C4C22×D8311yescharacteristic
1056#127—838no—
1057#127—838no—
1058#127—838no—
1059#121—838no—
1060#121—838no—
1061#121—838no—
1062#121—838no—
1063#121—838no—
1064#121C4×D8318yescomplemented
1065C4×Q8—838no—
1066C4×D4—42no—
1067C4×D4—42no—
1068C4×D4—3322no—
1069C4×D4—3322no—
1070C4×D4—3322no—
1071C4×D4—3322no—
1072C4×D4—3322no—
1073C4×D4—3322no—
1074C4×D4—3322no—
1075C4×D4—3322no—
1076C4×D4—838no—
1077C4×D4—838no—
1078C4×D4—838no—
1079#117—3322no—
1080#117—3322no—
1081C2×C4⋊C4—3322no—
1082C2×C4⋊C4—831no—
1083C2×C4⋊C4—831no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4—831no—
1089C2×C4⋊C4—831no—
1090C2×C4⋊C4—831no—
1091C2×C4⋊C4—831no—
1092C2×C4⋊C4—831no—
1093C2×C4⋊C4—831no—
1094C2×C4⋊C4—831no—
1095C2×C4⋊C4C22×D8311yescharacteristic
1096C2×C4⋊C4C22×D8311yescharacteristic
1097C2×C4⋊C4C22×D8311yescharacteristic
1098C2×C4⋊C4C22×D8311yescharacteristic
1099C2×C4⋊C4C22×D8311yescharacteristic
1100C2×C22⋊C4—831no—
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—831no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4C22×D8311yescharacteristic
1133C2×C22⋊C4C22×D8311yescharacteristic
1134C2×C22⋊C4C22×D8311yescharacteristic
1135C2×C22⋊C4C22×D8311yescharacteristic
1136C2×C22⋊C4C22×D8311yescharacteristic
1137C2×C22⋊C4C22×D8311yescharacteristic
1138C2×C22⋊C4C22×D8311yescharacteristic
1139C2×C22⋊C4C22×D8311yescharacteristic
1140C2×C22⋊C4C22×D8311yescharacteristic
1141C2×C22⋊C4C22×D8311yescharacteristic
1142C2×C42—3322no—
1143C2×C42—831no—
1144C2×C42—831no—
1145C2×C42—831no—
1146C2×C42—831no—
1147C2×C42—831no—
1148C2×C42—831no—
1149C2×C42—831no—
1150C2×C42—831no—
1151C2×C42—831no—
1152C2×C42—831no—
1153C2×C42—831no—
1154C2×C42—831no—
1155C2×C42—831no—
1156C2×C42—831no—
1157C2×C42—831no—
1158C2×C42C22×D8311yescharacteristic
1159C2×C42C22×D8311yescharacteristic
1160#95—831no—
1161#95—831no—
1162#95—831no—
1163#95—831no—
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95C22×D8311yescharacteristic
1195#95C22×D8311yescharacteristic
1196#95C22×D8311yescharacteristic
1197#95C22×D8311yescharacteristic
1198#95C22×D8311yescharacteristic
1199#95C22×D8311yescharacteristic
1200#95C22×D8311yescharacteristic
1201#95C22×D8311yescharacteristic
1202#95C22×D8311yescharacteristic
1203#95C22×D8311yescharacteristic
1204C24—831no—
1205C24—831no—
1206C24—831no—
1207C24C23×D8311yescharacteristic
1208C24C23×D8311yescharacteristic
1209C24C23×D8311yescharacteristic
1210#41—33216no—
1211#41—33216no—
1212C2×Q8—834no—
1213C2×Q8—1662no—
1214C2×Q8—1662no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—3321no—
1222C2×D4—3321no—
1223C2×D4—3321no—
1224C2×D4—3321no—
1225C2×D4—3321no—
1226C2×D4—3321no—
1227C2×D4—3321no—
1228C2×D4—3321no—
1229C2×D4—3321no—
1230C2×D4—3321no—
1231C2×D4—3321no—
1232C2×D4—3321no—
1233C2×D4—3321no—
1234C2×D4—3321no—
1235C2×D4—3321no—
1236C2×D4—3321no—
1237C2×D4—3321no—
1238C2×D4—3321no—
1239C2×D4—3321no—
1240C2×D4—3321no—
1241C2×D4—834no—
1242C2×D4—834no—
1243C2×D4—834no—
1244C2×D4—834no—
1245C2×D4—834no—
1246C2×D4—834no—
1247C2×D4—834no—
1248C2×D4—834no—
1249C2×D4—834no—
1250C2×D4—834no—
1251C2×D4—834no—
1252C2×D4—834no—
1253C2×D4—1662no—
1254C2×D4—1662no—
1255C2×D4—1662no—
1256C2×D4—1662no—
1257C2×D4C2×C4×D8314yes—
1258C2×D4C2×C4×D8314yes—
1259C2×D4C2×C4×D8314yes—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—3321no—
1275C22×C4—3321no—
1276C22×C4—3321no—
1277C22×C4—3321no—
1278C22×C4—3321no—
1279C22×C4—3321no—
1280C22×C4—3321no—
1281C22×C4—3321no—
1282C22×C4—3321no—
1283C22×C4—3321no—
1284C22×C4—3321no—
1285C22×C4—3321no—
1286C22×C4—3321no—
1287C22×C4—3321no—
1288C22×C4—3321no—
1289C22×C4—3321no—
1290C22×C4—3321no—
1291C22×C4—3321no—
1292C22×C4—3321no—
1293C22×C4—3321no—
1294C22×C4—3321no—
1295C22×C4—3321no—
1296C22×C4—3321no—
1297C22×C4—3321no—
1298C22×C4—3321no—
1299C22×C4—3321no—
1300C22×C4—3321no—
1301C22×C4—3321no—
1302C22×C4—3321no—
1303C22×C4—834no—
1304C22×C4—834no—
1305C22×C4—834no—
1306C22×C4—831no—
1307C22×C4—834no—
1308C22×C4—831no—
1309C22×C4—831no—
1310C22×C4—831no—
1311C22×C4—831no—
1312C22×C4—834no—
1313C22×C4—831no—
1314C22×C4—831no—
1315C22×C4—831no—
1316C22×C4—831no—
1317C22×C4—831no—
1318C22×C4—831no—
1319C22×C4—831no—
1320C22×C4—831no—
1321C22×C4—1662no—
1322C22×C4—1662no—
1323C22×C4—1662no—
1324C22×C4—1662no—
1325C22×C4—1662no—
1326C22×C4C2×C4×D8314yes—
1327C22×C4C23×D8311yescharacteristic
1328C22×C4C23×D8311yescharacteristic
1329C22×C4C23×D8311yescharacteristic
1330C22×C4C23×D8311yescharacteristic
1331C22×C4C23×D8311yescharacteristic
1332C22×C4C23×D8311yescharacteristic
1333C22×C4C23×D8311yescharacteristic
1334C22×C4C23×D8311yescharacteristic
1335C22×C4C23×D8311yescharacteristic
1336C22×C4C23×D8311yescharacteristic
1337C22×C4C23×D8311yescharacteristic
1338C22×C4C23×D8311yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—3321no—
1344C4⋊C4—3321no—
1345C4⋊C4—3321no—
1346C4⋊C4—3321no—
1347C4⋊C4—3321no—
1348C4⋊C4—3321no—
1349C4⋊C4—834no—
1350C4⋊C4—834no—
1351C4⋊C4—834no—
1352C4⋊C4—1662no—
1353C4⋊C4—1662no—
1354C4⋊C4—1662no—
1355C4⋊C4—1662no—
1356C4⋊C4C2×C4×D8314yes—
1357C22⋊C4—22no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—3321no—
1366C22⋊C4—3321no—
1367C22⋊C4—3321no—
1368C22⋊C4—3321no—
1369C22⋊C4—3321no—
1370C22⋊C4—3321no—
1371C22⋊C4—3321no—
1372C22⋊C4—3321no—
1373C22⋊C4—3321no—
1374C22⋊C4—3321no—
1375C22⋊C4—3321no—
1376C22⋊C4—3321no—
1377C22⋊C4—3321no—
1378C22⋊C4—3321no—
1379C22⋊C4—3321no—
1380C22⋊C4—3321no—
1381C22⋊C4—3321no—
1382C22⋊C4—3321no—
1383C22⋊C4—3321no—
1384C22⋊C4—3321no—
1385C22⋊C4—3321no—
1386C22⋊C4—3321no—
1387C22⋊C4—3321no—
1388C22⋊C4—3321no—
1389C22⋊C4—3321no—
1390C22⋊C4—3321no—
1391C22⋊C4—834no—
1392C22⋊C4—834no—
1393C22⋊C4—834no—
1394C22⋊C4—834no—
1395C22⋊C4—1662no—
1396C22⋊C4—1662no—
1397C22⋊C4C2×C4×D8314yes—
1398C22⋊C4C2×C4×D8314yes—
1399C42—22no—
1400C42—41no—
1401C42—3321no—
1402C42—3321no—
1403C42—3321no—
1404C42—3321no—
1405C42—3321no—
1406C42—3321no—
1407C42—3321no—
1408C42—834no—
1409C42—834no—
1410C42—834no—
1411C42—1662no—
1412C42—1662no—
1413C42—1662no—
1414C42—1662no—
1415C42—1662no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—832no—
1435C23—832no—
1436C23—832no—
1437C23—1661no—
1438C23—1661no—
1439C23—1661no—
1440C23—1661no—
1441C23—1661no—
1442C23—1661no—
1443C23—1661no—
1444C23—1661no—
1445C23—1661no—
1446C23—1661no—
1447C23—1661no—
1448C23—1661no—
1449C23—1661no—
1450C23—1661no—
1451C23—1661no—
1452C23—1661no—
1453C23—1661no—
1454C23—1661no—
1455C23C22×C4×D8312yes—
1456C23C22×C4×D8312yes—
1457C23C22×C4×D8312yes—
1458C23C24×D8311yescharacteristic
1459Q8—1668no—
1460D4—44no—
1461D4—44no—
1462D4—44no—
1463D4—3324no—
1464D4—3324no—
1465D4—3324no—
1466D4—3324no—
1467D4—3324no—
1468D4—3324no—
1469D4—3324no—
1470D4—3324no—
1471D4—3324no—
1472D4—3324no—
1473D4—1668no—
1474D4—1668no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—82no—
1509C2×C4—82no—
1510C2×C4—82no—
1511C2×C4—3324no—
1512C2×C4—3324no—
1513C2×C4—3324no—
1514C2×C4—3324no—
1515C2×C4—832no—
1516C2×C4—832no—
1517C2×C4—832no—
1518C2×C4—832no—
1519C2×C4—832no—
1520C2×C4—832no—
1521C2×C4—832no—
1522C2×C4—6642no—
1523C2×C4—6642no—
1524C2×C4—6642no—
1525C2×C4—6642no—
1526C2×C4—6642no—
1527C2×C4—6642no—
1528C2×C4—6642no—
1529C2×C4—1668no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4—1661no—
1537C2×C4—1661no—
1538C2×C4—1661no—
1539C2×C4—1661no—
1540C2×C4—1661no—
1541C2×C4—1661no—
1542C2×C4—1661no—
1543C2×C4—1661no—
1544C2×C4—1661no—
1545C2×C4—1661no—
1546C2×C4—1661no—
1547C2×C4—1661no—
1548C2×C4—1661no—
1549C2×C4—1661no—
1550C2×C4—1661no—
1551C2×C4—1661no—
1552C2×C4—1661no—
1553C2×C4—1661no—
1554C2×C4—1668no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4—1661no—
1562C2×C4—1661no—
1563C2×C4C22×C4×D8312yes—
1564C2×C4C22×C4×D8312yes—
1565C2×C4C22×C4×D8312yes—
1566C2×C4C22×C4×D8312yes—
1567C2×C4#1458183712yes—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—3321no—
1590C22—3321no—
1591C22—3321no—
1592C22—3321no—
1593C22—3321no—
1594C22—3321no—
1595C22—3321no—
1596C22—3321no—
1597C22—3321no—
1598C22—3321no—
1599C22—3321no—
1600C22—3321no—
1601C22—1662no—
1602C22—1662no—
1603C22—1662no—
1604C22—1662no—
1605C22—1662no—
1606C22—1662no—
1607C22—1662no—
1608C22—1662no—
1609C22—1662no—
1610C22C23×C4×D8311yescharacteristic
1611C22H(5,𝔽2)×D8311yescharacteristic
1612C22H(5,𝔽2)×D8311yescharacteristic
1613C22C2×#1458183711yescharacteristic
1614C22#1912853611yescharacteristic
1615C22#1912853711yescharacteristic
1616C22#1912853811yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—3321no—
1630C4—3321no—
1631C4—3321no—
1632C4—3321no—
1633C4—3321no—
1634C4—3321no—
1635C4—3321no—
1636C4—3321no—
1637C4—834no—
1638C4—1662no—
1639C4—1662no—
1640C4—1662no—
1641C4—1662no—
1642C2—42no—
1643C2—42no—
1644C2—42no—
1645C2—3322no—
1646C2—3322no—
1647C2—3322no—
1648C2#518×D8311yescharacteristic
1649C2#2492066311yescharacteristic
1650C2C4×#1458183711yescharacteristic
1651C2#2492172111yescharacteristic
1652C2#2492177411yescharacteristic
1653C2#2492182511yescharacteristic
1654C2#2492205011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2325C2
socle, cosocleC23×C83C25
prime radicalC2×#19128369C2
hypercenter#2325D83
hypocenterC83#34477
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2325

Complements

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

NH ≅ G/Ntype
2. #24910638C2semidirect
3. #24910638C2semidirect
4. #24910620C2semidirect
5. #24910616C2semidirect
6. #24910525C2semidirect
7. #24910509C2semidirect
8. #24910508C2semidirect
9. #24910504C2semidirect
10. #24910476C2semidirect
11. #24910425C2semidirect
12. #24910399C2semidirect
13. #24910398C2semidirect
14. #24910391C2semidirect
15. #24910290C2semidirect
16. #24910289C2semidirect
17. #24910229C2semidirect
18. #24910227C2semidirect
19. #24910185C2semidirect
20. #24910184C2semidirect
21. #24910184C2semidirect
22. #24910160C2semidirect
23. #24910155C2semidirect
24. #24910112C2semidirect
25. #24910098C2semidirect
26. #24910091C2semidirect
27. #24910052C2semidirect
28. C4×#14581764C2semidirect
29. #24909948C2semidirect
30. #24909899C2semidirect
31. C83×#2325C2semidirect
34. #19128369C4semidirect
190. C2×#13050590C2×C4semidirect
193. C2×#13050589C2×C4semidirect
220. #14581788C2×C4semidirect
221. #14581788C2×C4semidirect
222. #14581788C2×C4semidirect
223. #14581767C2×C4semidirect
224. #14581765C2×C4semidirect
225. #14581765C2×C4semidirect
226. #14581764C2×C4semidirect
227. #14581764C2×C4semidirect
228. #14581757C2×C4semidirect
235. C4×C22⋊D83C2×C4semidirect
238. (C22⋊D83)⋊C4C2×C4semidirect
239. (C22⋊D83)⋊C4C2×C4semidirect
346. #121×C83C2×C4semidirect
850. #2325D83semidirect
859. C83#34477semidirect
1064. #121C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283692
#249106382
#249106202
#249106162
#249105252
#249105092
#249105082
#249105042
#249104762
#249104252
#249103992
#249103982
#249103912
#249102902
#249102892
#249102292
#249102272
#249101852
#249101842
#249101602
#249101552
#249101122
#249100982
#249100912
#249100522
C4×#145817642
#249099482
#249098992
C83×#23252
#3447783