Finite Group Databasebeta

← #35566861

Subgroups — #35566861

Order 21248.

2772 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128369C211yesmaximal, characteristic
2#24910526C211yesmaximal, characteristic, complemented
3#24910526C211yesmaximal, characteristic, complemented
4#24910524C211yesmaximal, characteristic, complemented
5#24910515C211yesmaximal, characteristic, complemented
6#24910511C211yesmaximal, characteristic, complemented
7#24910509C211yesmaximal, characteristic, complemented
8#24910507C211yesmaximal, characteristic, complemented
9#24910498C211yesmaximal, characteristic, complemented
10#24910496C211yesmaximal, characteristic, complemented
11#24910433C211yesmaximal, characteristic, complemented
12#24910431C211yesmaximal, characteristic, complemented
13#24910417C211yesmaximal, characteristic, complemented
14#24910409C211yesmaximal, characteristic, complemented
15#24910289C211yesmaximal, characteristic, complemented
16#24910287C211yesmaximal, characteristic, complemented
17#24910227C211yesmaximal, characteristic, complemented
18#24910223C211yesmaximal, characteristic, complemented
19#24910222C211yesmaximal, characteristic, complemented
20#24910184C211yesmaximal, characteristic, complemented
21#24910184C211yesmaximal, characteristic, complemented
22#24910027C211yesmaximal, characteristic, complemented
23C4×#14581765C211yesmaximal, characteristic, complemented
24#24909973C211yesmaximal, characteristic, complemented
25#24909949C211yesmaximal, characteristic, complemented
26#24909948C211yesmaximal, characteristic, complemented
27#24909936C211yesmaximal, characteristic, complemented
28#24909822C211yesmaximal, characteristic, complemented
29#24909822C211yesmaximal, characteristic, complemented
30C4×(C22⋊D83)⋊C4C211yesmaximal, characteristic, complemented
31C83×#2333C211yesmaximal, 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×D4×Dic83C2211yescharacteristic
46C2×D4×Dic83C2211yescharacteristic
47C2×#14581754C2211yescharacteristic
48C2×C4×C22⋊D83C2211yescharacteristic
49C2×C4×C22⋊D83C2211yescharacteristic
50C2×C4×C22⋊D83C2211yescharacteristic
51C2×C4×C22⋊D83C2211yescharacteristic
52C2×C4×C22⋊D83C2211yescharacteristic
53C2×(C22⋊D83)⋊C4C2211yescharacteristic
54C2×(C22⋊D83)⋊C4C2211yescharacteristic
55C2×(C22⋊D83)⋊C4C2211yescharacteristic
56C2×(C22⋊D83)⋊C4C2211yescharacteristic
57C2×(C22⋊D83)⋊C4C2211yescharacteristic
58C2×(C22⋊D83)⋊C4C2211yescharacteristic
59C2×(C22⋊D83)⋊C4C2211yescharacteristic
60C2×(C22⋊D83)⋊C4C2211yescharacteristic
61C2×(C22⋊D83)⋊C4C2211yescharacteristic
62C2×(C22⋊D83)⋊C4C2211yescharacteristic
63C2×#14581749C2211yescharacteristic
64C2×#14581748C2211yescharacteristic
65C22×C4×Dic83C2211yescharacteristic
66C2×C42×D83C2211yescharacteristic
67#19127605C2211yescharacteristic
68#19127605C2211yescharacteristic
69#19127605C2211yescharacteristic
70#19127605C2211yescharacteristic
71#19127603C2211yescharacteristic
72#19127602C2211yescharacteristic
73#19127601C2211yescharacteristic
74#19127601C2211yescharacteristic
75#19127601C2211yescharacteristic
76#19127601C2211yescharacteristic
77#19127601C2211yescharacteristic
78#19127601C2211yescharacteristic
79#19127601C2211yescharacteristic
80#19127601C2211yescharacteristic
81#19127601C2211yescharacteristic
82#19127601C2211yescharacteristic
83#19127601C2211yescharacteristic
84#19127601C2211yescharacteristic
85#19127598C2211yescharacteristic
86#19127596C2211yescharacteristic
87#19127594C2211yescharacteristic
88#19127594C2211yescharacteristic
89#19127593C2211yescharacteristic
90#19127593C2211yescharacteristic
91#19127591C2211yescharacteristic
92#19127591C2211yescharacteristic
93#19127590C2211yescharacteristic
94#19127590C2211yescharacteristic
95#19127589C2211yescharacteristic
96#19127589C2211yescharacteristic
97#19127588C2211yescharacteristic
98#19127587C2211yescharacteristic
99#19127587C2211yescharacteristic
100#19127585C2211yescharacteristic
101#19127583C2211yescharacteristic
102#19127582C2211yescharacteristic
103#19127581C2211yescharacteristic
104#19127581C2211yescharacteristic
105#19127581C2211yescharacteristic
106#19127581C2211yescharacteristic
107#19127580C2211yescharacteristic
108#19127580C2211yescharacteristic
109#19127579C2211yescharacteristic
110#19127579C2211yescharacteristic
111#19127579C2211yescharacteristic
112#19127579C2211yescharacteristic
113#19127579C2211yescharacteristic
114#19127579C2211yescharacteristic
115#19127579C2211yescharacteristic
116#19127579C2211yescharacteristic
117#19127578C2211yescharacteristic
118#19127578C2211yescharacteristic
119#19127578C2211yescharacteristic
120#19127578C2211yescharacteristic
121#19127577C2211yescharacteristic
122#19127577C2211yescharacteristic
123#19127577C2211yescharacteristic
124#19127577C2211yescharacteristic
125#19127577C2211yescharacteristic
126#19127577C2211yescharacteristic
127#19127570C2211yescharacteristic
128#19127565C2211yescharacteristic
129#19127565C2211yescharacteristic
130#19127563C2211yescharacteristic
131#19127563C2211yescharacteristic
132#19127562C2211yescharacteristic
133#19127560C2211yescharacteristic
134#19127559C2211yescharacteristic
135C4⋊C4×Dic83C2211yescharacteristic
136C4×Dic83⋊C4C2211yescharacteristic
137C4×Dic83⋊C4C2211yescharacteristic
138C4×Dic83⋊C4C2211yescharacteristic
139C4×Dic83⋊C4C2211yescharacteristic
140#19127552C2211yescharacteristic
141#19127552C2211yescharacteristic
142#19127552C2211yescharacteristic
143#19127552C2211yescharacteristic
144#19127552C2211yescharacteristic
145#19127552C2211yescharacteristic
146#19127552C2211yescharacteristic
147C22⋊C4×Dic83C2211yescharacteristic
148C22⋊C4×Dic83C2211yescharacteristic
149C22⋊C4×Dic83C2211yescharacteristic
150C22⋊C4×Dic83C2211yescharacteristic
151C22⋊C4×Dic83C2211yescharacteristic
152C22⋊C4×Dic83C2211yescharacteristic
153C22⋊C4×Dic83C2211yescharacteristic
154C4×(C2×D83)⋊C4C2211yescharacteristic
155C4×(C2×D83)⋊C4C2211yescharacteristic
156C4×(C2×D83)⋊C4C2211yescharacteristic
157C4×(C2×D83)⋊C4C2211yescharacteristic
158C4×(C2×D83)⋊C4C2211yescharacteristic
159C4×(C2×D83)⋊C4C2211yescharacteristic
160C4×C22⋊Dic83C2211yescharacteristic
161#19127548C2211yescharacteristic
162#19127548C2211yescharacteristic
163#19127548C2211yescharacteristic
164#19127548C2211yescharacteristic
165#19127548C2211yescharacteristic
166#19127546C2211yescharacteristic
167#19127546C2211yescharacteristic
168C2×C83⋊#95C2211yescharacteristic
169C2×C83⋊#95C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172C42×Dic83C2211yescharacteristic
173C2×#121×C83C2211yescharacteristic
174#390×C83C2211yescharacteristic
175#390×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#381×C83C2211yescharacteristic
185C4×C22⋊C4×C83C2211yescharacteristic
186C4×C22⋊C4×C83C2211yescharacteristic
187C4×C22⋊C4×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
211C23×Dic83C2311yescharacteristic
212C23×Dic83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222#14581788C2×C418yescomplemented
223#14581788C2×C418yescomplemented
224#14581788C2×C418yescomplemented
225#14581767C2×C418yescomplemented
226#14581765C2×C418yescomplemented
227#14581765C2×C418yescomplemented
228#14581764C2×C418yescomplemented
229#14581764C2×C418yescomplemented
230#14581757C2×C418yescomplemented
231C4×D332—42no—
232D4×Dic83—42no—
233D4×Dic83—42no—
234#14581754—42no—
235C4×C22⋊D83—24no—
236C4×C22⋊D83—24no—
237C4×C22⋊D83—42no—
238C4×C22⋊D83—42no—
239C4×C22⋊D83C2×C418yescomplemented
240(C22⋊D83)⋊C4—24no—
241(C22⋊D83)⋊C4—24no—
242(C22⋊D83)⋊C4—24no—
243(C22⋊D83)⋊C4—24no—
244(C22⋊D83)⋊C4—42no—
245(C22⋊D83)⋊C4—42no—
246(C22⋊D83)⋊C4—42no—
247(C22⋊D83)⋊C4—42no—
248(C22⋊D83)⋊C4C2×C418yescomplemented
249(C22⋊D83)⋊C4C2×C418yescomplemented
250#14581749—42no—
251#14581748—42no—
252C2×C4⋊Dic83C2311yescharacteristic
253C2×C4⋊Dic83C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
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
297C2×C4×Dic83—42no—
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C2×C4×Dic83C2311yescharacteristic
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C2×C4×Dic83C2311yescharacteristic
305C2×C4×Dic83C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
308C2×C4×Dic83C2311yescharacteristic
309C2×C4×Dic83C2311yescharacteristic
310C2×C4×Dic83C2311yescharacteristic
311C2×C4×Dic83C2311yescharacteristic
312C2×C4×Dic83C2311yescharacteristic
313C2×C4×Dic83C2311yescharacteristic
314C2×C4×Dic83C2311yescharacteristic
315C2×C4×Dic83C2311yescharacteristic
316C2×C4×Dic83C2311yescharacteristic
317C2×C4×Dic83C2311yescharacteristic
318C2×C4×Dic83C2311yescharacteristic
319C42×D83—42no—
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
341C83⋊#95C2311yescharacteristic
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C22×D4×C83C2311yescharacteristic
347C22×D4×C83C2311yescharacteristic
348C22×D4×C83C2311yescharacteristic
349C23×C4×C83C2311yescharacteristic
350C23×C4×C83C2311yescharacteristic
351C23×C4×C83C2311yescharacteristic
352#121×C83C2×C418yescomplemented
353C2×C4⋊C4×C83C2311yescharacteristic
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C4⋊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×C22⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83C2311yescharacteristic
368C2×C42×C83C2311yescharacteristic
369C2×C42×C83C2311yescharacteristic
370C2×C42×C83C2311yescharacteristic
371C2×C42×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375#95×C83C2311yescharacteristic
376#95×C83C2311yescharacteristic
377#95×C83C2311yescharacteristic
378#95×C83C2311yescharacteristic
379#95×C83C2311yescharacteristic
380#95×C83C2311yescharacteristic
381#95×C83C2311yescharacteristic
382C23×D83C2411yescharacteristic
383C23×D83C2411yescharacteristic
384C23×D83C2411yescharacteristic
385#13050590—416no—
386#13050589—416no—
387C2×Dic166—22no—
388C2×Dic166—22no—
389C2×Dic166C22×C414yes—
390C2×D332—41no—
391C2×D332—41no—
392C2×D332—41no—
393C2×D332—41no—
394C2×D332—41no—
395C2×D332—41no—
396C2×D332C22×C414yes—
397C2×D332C22×C414yes—
398C2×D332C22×C414yes—
399C2×C22⋊D83—22no—
400C2×C22⋊D83—22no—
401C2×C22⋊D83—22no—
402C2×C22⋊D83—22no—
403C2×C22⋊D83—22no—
404C2×C22⋊D83—22no—
405C2×C22⋊D83—22no—
406C2×C22⋊D83—22no—
407C2×C22⋊D83—22no—
408C2×C22⋊D83—22no—
409C2×C22⋊D83—41no—
410C2×C22⋊D83—41no—
411C2×C22⋊D83—41no—
412C2×C22⋊D83—41no—
413C2×C22⋊D83—41no—
414C2×C22⋊D83—41no—
415C2×C22⋊D83—41no—
416C2×C22⋊D83—41no—
417C2×C22⋊D83C22×C414yes—
418C2×C22⋊D83C22×C414yes—
419C2×C22⋊D83C22×C414yes—
420C2×C22⋊D83C22×C414yes—
421C2×C22⋊D83C22×C414yes—
422C2×C22⋊D83C22×C414yes—
423C2×C22⋊D83C22×C414yes—
424C2×C22⋊D83C22×C414yes—
425C2×C22⋊D83C22×C414yes—
426C22×Dic83—22no—
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×Dic83—41no—
440C22×Dic83—41no—
441C22×Dic83—41no—
442C22×Dic83C22×C414yes—
443C22×Dic83C22×C414yes—
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C22×Dic83C2411yescharacteristic
448C22×Dic83C2411yescharacteristic
449C22×Dic83C2411yescharacteristic
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C22×Dic83C2411yescharacteristic
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
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—41no—
467C2×C4×D83—41no—
468C2×C4×D83—41no—
469C2×C4×D83—41no—
470C2×C4×D83—41no—
471C2×C4×D83—41no—
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—
481C2×C4×D83C22×C414yes—
482C2×C4×D83C22×C414yes—
483C2×C4×D83C22×C414yes—
484C4⋊Dic83—22no—
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⋊C4C22×C414yes—
496Dic83⋊C4C22×C414yes—
497Dic83⋊C4C22×C414yes—
498Dic83⋊C4#4114yescomplemented
499C22⋊Dic83—22no—
500C22⋊Dic83—22no—
501C22⋊Dic83—22no—
502C22⋊Dic83—22no—
503C22⋊Dic83—41no—
504C22⋊Dic83—41no—
505C22⋊Dic83—41no—
506C22⋊Dic83—41no—
507C22⋊Dic83C22×C414yes—
508(C2×D83)⋊C4—22no—
509(C2×D83)⋊C4—22no—
510(C2×D83)⋊C4—22no—
511(C2×D83)⋊C4—22no—
512(C2×D83)⋊C4—22no—
513(C2×D83)⋊C4—22no—
514(C2×D83)⋊C4—22no—
515(C2×D83)⋊C4—22no—
516(C2×D83)⋊C4—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4—41no—
521(C2×D83)⋊C4—41no—
522(C2×D83)⋊C4—41no—
523(C2×D83)⋊C4—41no—
524(C2×D83)⋊C4—41no—
525(C2×D83)⋊C4—41no—
526(C2×D83)⋊C4C22×C414yes—
527(C2×D83)⋊C4C22×C414yes—
528(C2×D83)⋊C4C22×C414yes—
529C4×Dic83—22no—
530C4×Dic83—22no—
531C4×Dic83—22no—
532C4×Dic83—22no—
533C4×Dic83—22no—
534C4×Dic83—22no—
535C4×Dic83—22no—
536C4×Dic83—22no—
537C4×Dic83—41no—
538C4×Dic83—41no—
539C4×Dic83—41no—
540C4×Dic83—41no—
541C4×Dic83—41no—
542C4×Dic83—41no—
543C4×Dic83—41no—
544C4×Dic83—41no—
545C4×Dic83—41no—
546C4×Dic83C22×C414yes—
547C4×Dic83C22×C414yes—
548C4×Dic83C22×C414yes—
549C4×Dic83#4114yescomplemented
550C24×C83C2411yescharacteristic
551C24×C83C2411yescharacteristic
552C24×C83C2411yescharacteristic
553C2×D4×C83—41no—
554C2×D4×C83—41no—
555C2×D4×C83—41no—
556C2×D4×C83—41no—
557C2×D4×C83—41no—
558C2×D4×C83—41no—
559C2×D4×C83C22×C414yes—
560C2×D4×C83C22×C414yes—
561C2×D4×C83C22×C414yes—
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×C83C22×C414yes—
571C22×C4×C83C2411yescharacteristic
572C22×C4×C83C2411yescharacteristic
573C22×C4×C83C2411yescharacteristic
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
583C4⋊C4×C83—41no—
584C4⋊C4×C83—41no—
585C4⋊C4×C83C22×C414yes—
586C22⋊C4×C83—22no—
587C22⋊C4×C83—22no—
588C22⋊C4×C83—22no—
589C22⋊C4×C83—22no—
590C22⋊C4×C83—41no—
591C22⋊C4×C83—41no—
592C22⋊C4×C83—41no—
593C22⋊C4×C83—41no—
594C22⋊C4×C83—41no—
595C22⋊C4×C83—41no—
596C22⋊C4×C83C22×C414yes—
597C22⋊C4×C83C22×C414yes—
598C42×C83—41no—
599C42×C83—41no—
600C42×C83—41no—
601C42×C83—41no—
602C23×C83—21no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—21no—
611C23×C83—21no—
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×C83C23×C412yes—
621C23×C83C23×C412yes—
622C23×C83C23×C412yes—
623C23×C83C2511yescharacteristic
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×D83—21no—
629C22×D83—21no—
630C22×D83—21no—
631C22×D83—21no—
632C22×D83—21no—
633C22×D83—21no—
634C22×D83—21no—
635C22×D83—21no—
636C22×D83—21no—
637C22×D83—21no—
638C22×D83—21no—
639C22×D83—21no—
640C22×D83—21no—
641C22×D83—21no—
642C22×D83C23×C412yes—
643C22×D83C23×C412yes—
644C22×D83C23×C412yes—
645D4×C83—44no—
646D4×C83—44no—
647D4×C83—44no—
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—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—44no—
679C2×C4×C83—44no—
680C2×C4×C83—82no—
681C2×C4×C83C23×C412yes—
682C2×C4×C83C23×C412yes—
683C2×C4×C83C23×C412yes—
684C2×C4×C83C23×C412yes—
685C2×C4×C83C2×#4112yes—
686C2×C4×C83C2×#4112yes—
687C22⋊D83—28no—
688C22⋊D83—28no—
689C22⋊D83—28no—
690C22⋊D83—28no—
691C22⋊D83—28no—
692C22⋊D83—44no—
693C22⋊D83—44no—
694C22⋊D83—44no—
695C22⋊D83—44no—
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—28no—
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—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—44no—
725C2×Dic83—44no—
726C2×Dic83—82no—
727C2×Dic83—82no—
728C2×Dic83—82no—
729C2×Dic83C23×C412yes—
730C2×Dic83C23×C412yes—
731C2×Dic83C23×C412yes—
732C2×Dic83C23×C412yes—
733C2×Dic83C23×C412yes—
734C2×Dic83C2×#4112yes—
735C2×Dic83C2×#4112yes—
736C2×Dic83C2×#4112yes—
737C2×Dic83C2×#4112yes—
738C2×Dic83H(5,𝔽2)12yes—
739C2×Dic83H(5,𝔽2)12yes—
740C2×Dic83H(5,𝔽2)12yes—
741D332—44no—
742D332—44no—
743D332—44no—
744C4×D83—28no—
745C4×D83—44no—
746C4×D83—44no—
747C4×D83—44no—
748C4×D83—44no—
749C4×D83—82no—
750C4×D83—82no—
751C4×D83—82no—
752C4×D83—82no—
753Dic166—28no—
754C22×C83—22no—
755C22×C83—22no—
756C22×C83—22no—
757C22×C83—22no—
758C22×C83—22no—
759C22×C83—22no—
760C22×C83—22no—
761C22×C83—22no—
762C22×C83—22no—
763C22×C83—41no—
764C22×C83—41no—
765C22×C83—41no—
766C22×C83—41no—
767C22×C83—41no—
768C22×C83—41no—
769C22×C83—41no—
770C22×C83—41no—
771C22×C83—41no—
772C22×C83—41no—
773C22×C83—41no—
774C22×C83—41no—
775C22×C83C24×C411yescharacteristic
776C22×C83C22×#4111yescharacteristic
777C22×C83C22×#4111yescharacteristic
778C22×C83C2×H(5,𝔽2)11yescharacteristic
779C22×C83C2×H(5,𝔽2)11yescharacteristic
780C22×C83C2×H(5,𝔽2)11yescharacteristic
781C22×C83#58511yescharacteristic
782C2×D83—22no—
783C2×D83—22no—
784C2×D83—22no—
785C2×D83—22no—
786C2×D83—22no—
787C2×D83—22no—
788C2×D83—22no—
789C2×D83—22no—
790C2×D83—22no—
791C2×D83—41no—
792C2×D83—41no—
793C2×D83—41no—
794C2×D83—41no—
795C2×D83—41no—
796C2×D83—41no—
797C2×D83—41no—
798C2×D83—41no—
799C2×D83—41no—
800C2×D83—41no—
801C2×D83—41no—
802C2×D83—41no—
803C4×C83—22no—
804C4×C83—22no—
805C4×C83—22no—
806C4×C83—22no—
807C4×C83—22no—
808C4×C83—22no—
809C4×C83—41no—
810C4×C83—41no—
811C4×C83—41no—
812C4×C83—41no—
813C4×C83—41no—
814C4×C83—41no—
815Dic83—22no—
816Dic83—22no—
817Dic83—22no—
818Dic83—22no—
819Dic83—22no—
820Dic83—22no—
821Dic83—41no—
822Dic83—41no—
823Dic83—41no—
824Dic83—41no—
825Dic83—41no—
826Dic83C4×#4114yes—
827Dic83#51814yes—
828#34330—831nomaximal, Sylow
829C2×C83—42no—
830C2×C83—42no—
831C2×C83—42no—
832C2×C83C2×C4×#4111yescharacteristic
833C2×C83C2×#51811yescharacteristic
834C2×C83C4×H(5,𝔽2)11yescharacteristic
835C2×C83#350611yescharacteristic
836C2×C83#350811yescharacteristic
837C2×C83#351711yescharacteristic
838C2×C83#351911yescharacteristic
839D83—42no—
840D83—42no—
841D83—42no—
842C2×#550—831no—
843#2366—831no—
844#2366—831no—
845#2366—831no—
846#2364—831no—
847#2364—831no—
848#2364—831no—
849#2364—831no—
850#2363—831no—
851#2363—831no—
852#2357—831no—
853#2357—831no—
854#2355—831no—
855#2354—831no—
856#2339—831no—
857#2339—831no—
858#2333—831no—
859#2333—831no—
860#2333—831no—
861#2333D8311yescharacteristic, complemented
862#2328—831no—
863#2328—831no—
864C4×#127—831no—
865C4×#121—831no—
866C4×#121—831no—
867#2297—831no—
868#2297—831no—
869#2295—831no—
870#2275—831no—
871#2275—831no—
872C42×D4—831no—
873C83#3433011yescharacteristic, complemented, Sylow
874C22×#41—831no—
875C22×#41—831no—
876#550—8316no—
877C2×#127—831no—
878C2×#127—831no—
879C2×#127—831no—
880C2×#121—831no—
881C2×#121—831no—
882C2×#121—831no—
883C2×#121—831no—
884C2×#121—831no—
885C2×#121C2×D8311yescharacteristic
886C2×C4×Q8—831no—
887C2×C4×D4—831no—
888C2×C4×D4—831no—
889C2×C4×D4—831no—
890C2×C4×D4—831no—
891C2×C4×D4—831no—
892C2×C4×D4—831no—
893C2×C4×D4—831no—
894C2×C4×D4—831no—
895C2×C4×D4—831no—
896C2×C4×D4—831no—
897C2×C4×D4—831no—
898C2×C4×D4—831no—
899C2×C4×D4—831no—
900C2×C4×D4—831no—
901C2×C4×D4—831no—
902C2×C4×D4—831no—
903C2×C4×D4—831no—
904C2×C4×D4—831no—
905C2×C4×D4—831no—
906C2×#117—831no—
907C2×#117—831no—
908C22×C42—831no—
909C22×C42—831no—
910#391—831no—
911#391—831no—
912#391—831no—
913#391—831no—
914#390—831no—
915#390—831no—
916#390—831no—
917#390—831no—
918#390—831no—
919#390—831no—
920#390—831no—
921#390—831no—
922#390—831no—
923#390—831no—
924#390—831no—
925#390—831no—
926#390—831no—
927#390—831no—
928#390C2×D8311yescharacteristic
929#390C2×D8311yescharacteristic
930#389—831no—
931#389—831no—
932#388—831no—
933#388—831no—
934#388—831no—
935#388—831no—
936#388—831no—
937#388—831no—
938#388—831no—
939#388—831no—
940#388—831no—
941#388—831no—
942#388C2×D8311yescharacteristic
943#388C2×D8311yescharacteristic
944#387—831no—
945#387—831no—
946#387—831no—
947#387—831no—
948#387—831no—
949#387—831no—
950#387C2×D8311yescharacteristic
951#387C2×D8311yescharacteristic
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#386—831no—
967#386—831no—
968#386—831no—
969#386—831no—
970#386—831no—
971#386—831no—
972#386—831no—
973#386—831no—
974#386—831no—
975#386—831no—
976#386C2×D8311yescharacteristic
977#386C2×D8311yescharacteristic
978#386C2×D8311yescharacteristic
979#386C2×D8311yescharacteristic
980#384—831no—
981#382—831no—
982#382—831no—
983#381—831no—
984#381—831no—
985#381—831no—
986#381C2×D8311yescharacteristic
987#380—831no—
988#380—831no—
989C4×C4⋊C4—831no—
990C4×C4⋊C4—831no—
991C4×C4⋊C4—831no—
992C4×C4⋊C4—831no—
993C4×C4⋊C4—831no—
994C4×C4⋊C4—831no—
995C4×C4⋊C4—831no—
996C4×C4⋊C4—831no—
997C4×C4⋊C4—831no—
998C4×C4⋊C4—831no—
999C4×C4⋊C4—831no—
1000C4×C4⋊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—
1009C4×C22⋊C4—831no—
1010C4×C22⋊C4—831no—
1011C4×C22⋊C4—831no—
1012C4×C22⋊C4—831no—
1013C4×C22⋊C4—831no—
1014C4×C22⋊C4—831no—
1015C4×C22⋊C4—831no—
1016C4×C22⋊C4—831no—
1017C4×C22⋊C4—831no—
1018C4×C22⋊C4—831no—
1019C4×C22⋊C4—831no—
1020C4×C22⋊C4C2×D8311yescharacteristic
1021C4×C22⋊C4C2×D8311yescharacteristic
1022C4×C22⋊C4C2×D8311yescharacteristic
1023#376—831no—
1024#376—831no—
1025C2×#95—831no—
1026C2×#95—831no—
1027C2×#95—831no—
1028C2×#95—831no—
1029C43—831no—
1030C2×#41—3322no—
1031C2×#41—3322no—
1032C2×#41—3322no—
1033C2×#41—3322no—
1034C2×#41—838no—
1035C2×#41—838no—
1036C22×Q8—831no—
1037C22×D4—831no—
1038C22×D4—831no—
1039C22×D4—831no—
1040C22×D4—831no—
1041C22×D4—831no—
1042C22×D4—831no—
1043C22×D4—831no—
1044C22×D4—831no—
1045C22×D4—831no—
1046C22×D4—831no—
1047C22×D4—831no—
1048C22×D4—831no—
1049C22×D4C22×D8311yescharacteristic
1050C22×D4C22×D8311yescharacteristic
1051C22×D4C22×D8311yescharacteristic
1052C23×C4—831no—
1053C23×C4—831no—
1054C23×C4—831no—
1055C23×C4—831no—
1056C23×C4—831no—
1057C23×C4—831no—
1058C23×C4—831no—
1059C23×C4—831no—
1060C23×C4—831no—
1061C23×C4—831no—
1062C23×C4—831no—
1063C23×C4—831no—
1064C23×C4—831no—
1065C23×C4—831no—
1066C23×C4—831no—
1067C23×C4C22×D8311yescharacteristic
1068C23×C4C22×D8311yescharacteristic
1069C23×C4C22×D8311yescharacteristic
1070#127—838no—
1071#127—838no—
1072#127—838no—
1073#121—838no—
1074#121—838no—
1075#121—838no—
1076#121—838no—
1077#121—838no—
1078#121C4×D8318yescomplemented
1079C4×Q8—838no—
1080C4×D4—3322no—
1081C4×D4—3322no—
1082C4×D4—3322no—
1083C4×D4—3322no—
1084C4×D4—3322no—
1085C4×D4—3322no—
1086C4×D4—3322no—
1087C4×D4—3322no—
1088C4×D4—3322no—
1089C4×D4—3322no—
1090C4×D4—838no—
1091C4×D4—838no—
1092C4×D4—838no—
1093C4×D4—1664no—
1094C4×D4—1664no—
1095C4×D4—1664no—
1096C4×D4—1664no—
1097C4×D4—1664no—
1098C4×D4—1664no—
1099#117—3322no—
1100#117—3322no—
1101C2×C4⋊C4—831no—
1102C2×C4⋊C4—831no—
1103C2×C4⋊C4—831no—
1104C2×C4⋊C4—831no—
1105C2×C4⋊C4—831no—
1106C2×C4⋊C4—831no—
1107C2×C4⋊C4—831no—
1108C2×C4⋊C4—831no—
1109C2×C4⋊C4—831no—
1110C2×C4⋊C4—831no—
1111C2×C4⋊C4—831no—
1112C2×C4⋊C4—831no—
1113C2×C4⋊C4—831no—
1114C2×C4⋊C4—831no—
1115C2×C4⋊C4—831no—
1116C2×C4⋊C4C22×D8311yescharacteristic
1117C2×C4⋊C4C22×D8311yescharacteristic
1118C2×C4⋊C4C22×D8311yescharacteristic
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⋊C4—831no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—831no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4—831no—
1138C2×C22⋊C4—831no—
1139C2×C22⋊C4—831no—
1140C2×C22⋊C4—831no—
1141C2×C22⋊C4—831no—
1142C2×C22⋊C4—831no—
1143C2×C22⋊C4—831no—
1144C2×C22⋊C4—831no—
1145C2×C22⋊C4—831no—
1146C2×C22⋊C4—831no—
1147C2×C22⋊C4—831no—
1148C2×C22⋊C4—831no—
1149C2×C22⋊C4C22×D8311yescharacteristic
1150C2×C22⋊C4C22×D8311yescharacteristic
1151C2×C22⋊C4C22×D8311yescharacteristic
1152C2×C22⋊C4C22×D8311yescharacteristic
1153C2×C22⋊C4C22×D8311yescharacteristic
1154C2×C22⋊C4C22×D8311yescharacteristic
1155C2×C22⋊C4C22×D8311yescharacteristic
1156C2×C22⋊C4C22×D8311yescharacteristic
1157C2×C22⋊C4C22×D8311yescharacteristic
1158C2×C22⋊C4C22×D8311yescharacteristic
1159C2×C22⋊C4C22×D8311yescharacteristic
1160C2×C22⋊C4C22×D8311yescharacteristic
1161C2×C42—3322no—
1162C2×C42—3322no—
1163C2×C42—831no—
1164C2×C42—831no—
1165C2×C42—831no—
1166C2×C42—831no—
1167C2×C42—831no—
1168C2×C42—831no—
1169C2×C42—831no—
1170C2×C42—831no—
1171C2×C42—831no—
1172C2×C42—831no—
1173C2×C42—831no—
1174C2×C42—831no—
1175C2×C42—831no—
1176C2×C42—831no—
1177C2×C42—831no—
1178C2×C42—831no—
1179C2×C42—831no—
1180C2×C42—831no—
1181C2×C42—831no—
1182C2×C42—831no—
1183C2×C42—831no—
1184C2×C42C22×D8311yescharacteristic
1185C2×C42C22×D8311yescharacteristic
1186C2×C42C22×D8311yescharacteristic
1187C2×C42C22×D8311yescharacteristic
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#95—831no—
1199#95—831no—
1200#95—831no—
1201#95—831no—
1202#95—831no—
1203#95—831no—
1204#95—831no—
1205#95—831no—
1206#95—831no—
1207#95—831no—
1208#95—831no—
1209#95—831no—
1210#95—831no—
1211#95—831no—
1212#95—831no—
1213#95—831no—
1214#95C22×D8311yescharacteristic
1215#95C22×D8311yescharacteristic
1216#95C22×D8311yescharacteristic
1217#95C22×D8311yescharacteristic
1218#95C22×D8311yescharacteristic
1219#95C22×D8311yescharacteristic
1220#95C22×D8311yescharacteristic
1221#95C22×D8311yescharacteristic
1222#95C22×D8311yescharacteristic
1223#95C22×D8311yescharacteristic
1224C24—831no—
1225C24—831no—
1226C24—831no—
1227C24C23×D8311yescharacteristic
1228C24C23×D8311yescharacteristic
1229C24C23×D8311yescharacteristic
1230#41—33216no—
1231#41—33216no—
1232C2×Q8—834no—
1233C2×Q8—1662no—
1234C2×Q8—1662no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—3321no—
1242C2×D4—3321no—
1243C2×D4—3321no—
1244C2×D4—3321no—
1245C2×D4—3321no—
1246C2×D4—3321no—
1247C2×D4—3321no—
1248C2×D4—3321no—
1249C2×D4—3321no—
1250C2×D4—3321no—
1251C2×D4—3321no—
1252C2×D4—3321no—
1253C2×D4—3321no—
1254C2×D4—3321no—
1255C2×D4—834no—
1256C2×D4—834no—
1257C2×D4—834no—
1258C2×D4—834no—
1259C2×D4—834no—
1260C2×D4—834no—
1261C2×D4—834no—
1262C2×D4—834no—
1263C2×D4—834no—
1264C2×D4—834no—
1265C2×D4—834no—
1266C2×D4—834no—
1267C2×D4—1662no—
1268C2×D4—1662no—
1269C2×D4—1662no—
1270C2×D4—1662no—
1271C2×D4—1662no—
1272C2×D4—1662no—
1273C2×D4—1662no—
1274C2×D4—1662no—
1275C2×D4—1662no—
1276C2×D4—1662no—
1277C2×D4C2×C4×D8314yes—
1278C2×D4C2×C4×D8314yes—
1279C2×D4C2×C4×D8314yes—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
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—3321no—
1304C22×C4—3321no—
1305C22×C4—3321no—
1306C22×C4—3321no—
1307C22×C4—3321no—
1308C22×C4—3321no—
1309C22×C4—3321no—
1310C22×C4—3321no—
1311C22×C4—3321no—
1312C22×C4—834no—
1313C22×C4—834no—
1314C22×C4—834no—
1315C22×C4—831no—
1316C22×C4—831no—
1317C22×C4—834no—
1318C22×C4—831no—
1319C22×C4—831no—
1320C22×C4—831no—
1321C22×C4—831no—
1322C22×C4—831no—
1323C22×C4—831no—
1324C22×C4—834no—
1325C22×C4—831no—
1326C22×C4—831no—
1327C22×C4—831no—
1328C22×C4—831no—
1329C22×C4—831no—
1330C22×C4—1662no—
1331C22×C4—1662no—
1332C22×C4—1662no—
1333C22×C4—1662no—
1334C22×C4—1662no—
1335C22×C4—1662no—
1336C22×C4—1662no—
1337C22×C4—1662no—
1338C22×C4—1662no—
1339C22×C4—1662no—
1340C22×C4—1662no—
1341C22×C4—1662no—
1342C22×C4—1662no—
1343C22×C4—1662no—
1344C22×C4—1662no—
1345C22×C4—1662no—
1346C22×C4C2×C4×D8314yes—
1347C22×C4C23×D8311yescharacteristic
1348C22×C4C23×D8311yescharacteristic
1349C22×C4C23×D8311yescharacteristic
1350C22×C4C23×D8311yescharacteristic
1351C22×C4C23×D8311yescharacteristic
1352C22×C4C23×D8311yescharacteristic
1353C22×C4C23×D8311yescharacteristic
1354C22×C4C23×D8311yescharacteristic
1355C22×C4C23×D8311yescharacteristic
1356C22×C4C23×D8311yescharacteristic
1357C22×C4C23×D8311yescharacteristic
1358C22×C4C23×D8311yescharacteristic
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—3321no—
1362C4⋊C4—3321no—
1363C4⋊C4—834no—
1364C4⋊C4—834no—
1365C4⋊C4—834no—
1366C4⋊C4—834no—
1367C4⋊C4—1662no—
1368C4⋊C4—1662no—
1369C4⋊C4—1662no—
1370C4⋊C4—1662no—
1371C4⋊C4—1662no—
1372C4⋊C4—1662no—
1373C4⋊C4—1662no—
1374C4⋊C4—1662no—
1375C4⋊C4—1662no—
1376C4⋊C4C2×C4×D8314yes—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—3321no—
1388C22⋊C4—3321no—
1389C22⋊C4—3321no—
1390C22⋊C4—3321no—
1391C22⋊C4—3321no—
1392C22⋊C4—3321no—
1393C22⋊C4—3321no—
1394C22⋊C4—3321no—
1395C22⋊C4—3321no—
1396C22⋊C4—3321no—
1397C22⋊C4—3321no—
1398C22⋊C4—3321no—
1399C22⋊C4—3321no—
1400C22⋊C4—3321no—
1401C22⋊C4—834no—
1402C22⋊C4—834no—
1403C22⋊C4—834no—
1404C22⋊C4—834no—
1405C22⋊C4—1662no—
1406C22⋊C4—1662no—
1407C22⋊C4—1662no—
1408C22⋊C4—1662no—
1409C22⋊C4—1662no—
1410C22⋊C4—1662no—
1411C22⋊C4—1662no—
1412C22⋊C4—1662no—
1413C22⋊C4—1662no—
1414C22⋊C4—1662no—
1415C22⋊C4—1662no—
1416C22⋊C4—1662no—
1417C22⋊C4C2×C4×D8314yes—
1418C22⋊C4C2×C4×D8314yes—
1419C42—41no—
1420C42—41no—
1421C42—41no—
1422C42—41no—
1423C42—3321no—
1424C42—3321no—
1425C42—3321no—
1426C42—3321no—
1427C42—3321no—
1428C42—3321no—
1429C42—3321no—
1430C42—3321no—
1431C42—3321no—
1432C42—834no—
1433C42—834no—
1434C42—834no—
1435C42—834no—
1436C42—1662no—
1437C42—1662no—
1438C42—1662no—
1439C42—1662no—
1440C42—1662no—
1441C42—1662no—
1442C42—1662no—
1443C42—1662no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—832no—
1463C23—832no—
1464C23—832no—
1465C23—1661no—
1466C23—1661no—
1467C23—1661no—
1468C23—1661no—
1469C23—1661no—
1470C23—1661no—
1471C23—1661no—
1472C23—1661no—
1473C23—1661no—
1474C23—1661no—
1475C23—1661no—
1476C23—1661no—
1477C23—1661no—
1478C23—1661no—
1479C23—1661no—
1480C23—1661no—
1481C23—1661no—
1482C23—1661no—
1483C23C22×C4×D8312yes—
1484C23C22×C4×D8312yes—
1485C23C22×C4×D8312yes—
1486C23C24×D8311yescharacteristic
1487Q8—1668no—
1488D4—44no—
1489D4—44no—
1490D4—44no—
1491D4—3324no—
1492D4—3324no—
1493D4—3324no—
1494D4—3324no—
1495D4—3324no—
1496D4—3324no—
1497D4—3324no—
1498D4—1668no—
1499D4—1668no—
1500D4—1668no—
1501D4—1668no—
1502D4—1668no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—82no—
1536C2×C4—3324no—
1537C2×C4—3324no—
1538C2×C4—3324no—
1539C2×C4—3324no—
1540C2×C4—3324no—
1541C2×C4—3324no—
1542C2×C4—832no—
1543C2×C4—832no—
1544C2×C4—832no—
1545C2×C4—832no—
1546C2×C4—832no—
1547C2×C4—832no—
1548C2×C4—832no—
1549C2×C4—832no—
1550C2×C4—832no—
1551C2×C4—832no—
1552C2×C4—832no—
1553C2×C4—832no—
1554C2×C4—6642no—
1555C2×C4—6642no—
1556C2×C4—6642no—
1557C2×C4—6642no—
1558C2×C4—6642no—
1559C2×C4—6642no—
1560C2×C4—6642no—
1561C2×C4—1668no—
1562C2×C4—1661no—
1563C2×C4—1661no—
1564C2×C4—1661no—
1565C2×C4—1661no—
1566C2×C4—1661no—
1567C2×C4—1661no—
1568C2×C4—1661no—
1569C2×C4—1661no—
1570C2×C4—1661no—
1571C2×C4—1661no—
1572C2×C4—1661no—
1573C2×C4—1661no—
1574C2×C4—1661no—
1575C2×C4—1661no—
1576C2×C4—1661no—
1577C2×C4—1668no—
1578C2×C4—1661no—
1579C2×C4—1661no—
1580C2×C4—1661no—
1581C2×C4—1661no—
1582C2×C4—1661no—
1583C2×C4—1661no—
1584C2×C4—1661no—
1585C2×C4—1661no—
1586C2×C4—1661no—
1587C2×C4—1661no—
1588C2×C4—1661no—
1589C2×C4—1661no—
1590C2×C4C22×C4×D8312yes—
1591C2×C4C22×C4×D8312yes—
1592C2×C4C22×C4×D8312yes—
1593C2×C4C22×C4×D8312yes—
1594C2×C4#41×D8312yes—
1595C2×C4#41×D8312yes—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—3321no—
1618C22—3321no—
1619C22—3321no—
1620C22—3321no—
1621C22—3321no—
1622C22—3321no—
1623C22—3321no—
1624C22—3321no—
1625C22—3321no—
1626C22—3321no—
1627C22—3321no—
1628C22—3321no—
1629C22—1662no—
1630C22—1662no—
1631C22—1662no—
1632C22—1662no—
1633C22—1662no—
1634C22—1662no—
1635C22—1662no—
1636C22—1662no—
1637C22—1662no—
1638C22C23×C4×D8311yescharacteristic
1639C22C2×#41×D8311yescharacteristic
1640C22C2×#41×D8311yescharacteristic
1641C22H(5,𝔽2)×D8311yescharacteristic
1642C22H(5,𝔽2)×D8311yescharacteristic
1643C22H(5,𝔽2)×D8311yescharacteristic
1644C22#1912853611yescharacteristic
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—3321no—
1658C4—3321no—
1659C4—3321no—
1660C4—3321no—
1661C4—3321no—
1662C4—834no—
1663C4—834no—
1664C4—1662no—
1665C4—1662no—
1666C4—1662no—
1667C4—1662no—
1668C4—1662no—
1669C4—1662no—
1670C2—42no—
1671C2—42no—
1672C2—42no—
1673C2—3322no—
1674C2—3322no—
1675C2—3322no—
1676C2C4×#41×D8311yescharacteristic
1677C2#518×D8311yescharacteristic
1678C2#2492066711yescharacteristic
1679C2#2492131011yescharacteristic
1680C2#2492133511yescharacteristic
1681C2#2492146511yescharacteristic
1682C2#2492148711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2333C2
socle, cosocleC23×C83C25
prime radicalC2×#19128369C2
hypercenter#2333D83
hypocenterC83#34330
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #24910526C2semidirect
3. #24910526C2semidirect
4. #24910524C2semidirect
5. #24910515C2semidirect
6. #24910511C2semidirect
7. #24910509C2semidirect
8. #24910507C2semidirect
9. #24910498C2semidirect
10. #24910496C2semidirect
11. #24910433C2semidirect
12. #24910431C2semidirect
13. #24910417C2semidirect
14. #24910409C2semidirect
15. #24910289C2semidirect
16. #24910287C2semidirect
17. #24910227C2semidirect
18. #24910223C2semidirect
19. #24910222C2semidirect
20. #24910184C2semidirect
21. #24910184C2semidirect
22. #24910027C2semidirect
23. C4×#14581765C2semidirect
24. #24909973C2semidirect
25. #24909949C2semidirect
26. #24909948C2semidirect
27. #24909936C2semidirect
28. #24909822C2semidirect
29. #24909822C2semidirect
30. C4×(C22⋊D83)⋊C4C2semidirect
31. C83×#2333C2semidirect
34. #19128369C4semidirect
190. C2×#13050590C2×C4semidirect
193. C2×#13050589C2×C4semidirect
222. #14581788C2×C4semidirect
223. #14581788C2×C4semidirect
224. #14581788C2×C4semidirect
225. #14581767C2×C4semidirect
226. #14581765C2×C4semidirect
227. #14581765C2×C4semidirect
228. #14581764C2×C4semidirect
229. #14581764C2×C4semidirect
230. #14581757C2×C4semidirect
239. C4×C22⋊D83C2×C4semidirect
248. (C22⋊D83)⋊C4C2×C4semidirect
249. (C22⋊D83)⋊C4C2×C4semidirect
352. #121×C83C2×C4semidirect
498. Dic83⋊C4#41semidirect
549. C4×Dic83#41semidirect
861. #2333D83semidirect
873. C83#34330semidirect
1078. #121C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283692
#249105262
#249105242
#249105152
#249105112
#249105092
#249105072
#249104982
#249104962
#249104332
#249104312
#249104172
#249104092
#249102892
#249102872
#249102272
#249102232
#249102222
#249101842
#249100272
C4×#145817652
#249099732
#249099492
#249099482
#249099362
#249098222
C4×(C22⋊D83)⋊C42
C83×#23332
#3433083