Finite Group Databasebeta

← #35569761

Subgroups — #35569761

Order 21248.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128347C211yesmaximal, characteristic
2#24910631C211yesmaximal, characteristic, complemented
3#24910617C211yesmaximal, characteristic, complemented
4#24910610C211yesmaximal, characteristic, complemented
5#24910601C211yesmaximal, characteristic, complemented
6#24910573C211yesmaximal, characteristic, complemented
7#24910514C211yesmaximal, characteristic, complemented
8#24910502C211yesmaximal, characteristic, complemented
9#24910462C211yesmaximal, characteristic, complemented
10#24910446C211yesmaximal, characteristic, complemented
11#24910396C211yesmaximal, characteristic, complemented
12#24910311C211yesmaximal, characteristic, complemented
13#24910307C211yesmaximal, characteristic, complemented
14#24910290C211yesmaximal, characteristic, complemented
15C22⋊C4×D332C211yesmaximal, characteristic, complemented
16#24910273C211yesmaximal, characteristic, complemented
17#24910252C211yesmaximal, characteristic, complemented
18#24910223C211yesmaximal, characteristic, complemented
19#24910219C211yesmaximal, characteristic, complemented
20#24910166C211yesmaximal, characteristic, complemented
21#24910136C211yesmaximal, characteristic, complemented
22#24910119C211yesmaximal, characteristic, complemented
23#24910119C211yesmaximal, characteristic, complemented
24#24910106C211yesmaximal, characteristic, complemented
25#24910057C211yesmaximal, characteristic, complemented
26#24910052C211yesmaximal, characteristic, complemented
27#24910040C211yesmaximal, characteristic, complemented
28C4×#14581765C211yesmaximal, characteristic, complemented
29#24909907C211yesmaximal, characteristic, complemented
30#388×D83C211yesmaximal, characteristic, complemented
31C83×#2353C211yesmaximal, characteristic, complemented
32C22×#13050590C2211yescharacteristic
33C23×D332C2211yescharacteristic
34#19128347C4116yescomplemented
35C2×#14581780C2211yescharacteristic
36C2×#14581777C2211yescharacteristic
37C2×#14581777C2211yescharacteristic
38C2×#14581771C2211yescharacteristic
39C2×#14581766C2211yescharacteristic
40C2×#14581765C2211yescharacteristic
41C2×#14581765C2211yescharacteristic
42C2×#14581760C2211yescharacteristic
43C2×#14581760C2211yescharacteristic
44C2×C4×D332C2211yescharacteristic
45C2×C4×D332C2211yescharacteristic
46C2×C4×D332C2211yescharacteristic
47C2×C4×C22⋊D83C2211yescharacteristic, complemented
48C2×C4×C22⋊D83C2211yescharacteristic, complemented
49C2×C4×C22⋊D83C2211yescharacteristic, complemented
50C2×C4×C22⋊D83C2211yescharacteristic, complemented
51C2×#14581750C2211yescharacteristic, complemented
52C2×#14581749C2211yescharacteristic, complemented
53C2×C4⋊C4×D83C2211yescharacteristic, complemented
54C2×C22⋊C4×D83C2211yescharacteristic
55C2×C22⋊C4×D83C2211yescharacteristic
56C2×C22⋊C4×D83C2211yescharacteristic
57C2×C22⋊C4×D83C2211yescharacteristic
58C2×C22⋊C4×D83C2211yescharacteristic
59C2×C22⋊C4×D83C2211yescharacteristic
60C2×C42×D83C2211yescharacteristic, complemented
61#19127605C2211yescharacteristic, complemented
62#19127605C2211yescharacteristic, complemented
63#19127605C2211yescharacteristic, complemented
64#19127605C2211yescharacteristic, complemented
65#19127604C2211yescharacteristic
66#19127604C2211yescharacteristic
67#19127603C2211yescharacteristic
68#19127603C2211yescharacteristic
69#19127601C2211yescharacteristic, complemented
70#19127601C2211yescharacteristic, complemented
71#19127601C2211yescharacteristic, complemented
72#19127601C2211yescharacteristic, complemented
73#19127600C2211yescharacteristic, complemented
74#19127600C2211yescharacteristic, complemented
75#19127598C2211yescharacteristic, complemented
76#19127598C2211yescharacteristic, complemented
77#19127595C2211yescharacteristic
78#19127595C2211yescharacteristic
79#19127595C2211yescharacteristic
80#19127595C2211yescharacteristic
81#19127594C2211yescharacteristic
82#19127594C2211yescharacteristic
83#19127594C2211yescharacteristic, complemented
84#19127594C2211yescharacteristic, complemented
85#19127593C2211yescharacteristic, complemented
86#19127593C2211yescharacteristic, complemented
87#19127593C2211yescharacteristic, complemented
88#19127593C2211yescharacteristic, complemented
89#19127593C2211yescharacteristic, complemented
90#19127593C2211yescharacteristic, complemented
91#19127592C2211yescharacteristic, complemented
92#19127592C2211yescharacteristic, complemented
93#19127591C2211yescharacteristic, complemented
94#19127591C2211yescharacteristic, complemented
95#19127590C2211yescharacteristic, complemented
96#19127590C2211yescharacteristic, complemented
97#19127590C2211yescharacteristic, complemented
98#19127590C2211yescharacteristic, complemented
99#19127590C2211yescharacteristic, complemented
100#19127590C2211yescharacteristic, complemented
101#19127589C2211yescharacteristic
102#19127589C2211yescharacteristic
103#19127589C2211yescharacteristic
104#19127589C2211yescharacteristic
105#19127588C2211yescharacteristic, complemented
106#19127588C2211yescharacteristic, complemented
107#19127586C2211yescharacteristic, complemented
108#19127586C2211yescharacteristic, complemented
109#19127586C2211yescharacteristic, complemented
110#19127586C2211yescharacteristic, complemented
111#19127585C2211yescharacteristic, complemented
112#19127585C2211yescharacteristic, complemented
113#19127580C2211yescharacteristic, complemented
114#19127580C2211yescharacteristic, complemented
115#19127580C2211yescharacteristic, complemented
116#19127580C2211yescharacteristic, complemented
117#19127579C2211yescharacteristic
118#19127579C2211yescharacteristic
119#19127579C2211yescharacteristic
120#19127579C2211yescharacteristic
121#19127579C2211yescharacteristic
122#19127579C2211yescharacteristic
123#19127579C2211yescharacteristic
124#19127579C2211yescharacteristic
125#19127579C2211yescharacteristic
126#19127579C2211yescharacteristic
127#19127579C2211yescharacteristic
128#19127579C2211yescharacteristic
129#19127577C2211yescharacteristic, complemented
130#19127577C2211yescharacteristic, complemented
131#19127577C2211yescharacteristic, complemented
132#19127577C2211yescharacteristic, complemented
133#19127575C2211yescharacteristic, complemented
134#19127575C2211yescharacteristic, complemented
135#19127575C2211yescharacteristic, complemented
136#19127575C2211yescharacteristic, complemented
137#19127575C2211yescharacteristic, complemented
138#19127575C2211yescharacteristic, complemented
139#19127572C2211yescharacteristic, complemented
140#19127572C2211yescharacteristic, complemented
141#19127564C2211yescharacteristic
142#19127564C2211yescharacteristic, complemented
143#19127563C2211yescharacteristic, complemented
144#19127563C2211yescharacteristic, complemented
145#19127561C2211yescharacteristic
146#19127561C2211yescharacteristic, complemented
147#19127560C2211yescharacteristic, complemented
148#19127560C2211yescharacteristic, complemented
149#19127558C2211yescharacteristic, complemented
150#19127558C2211yescharacteristic, complemented
151#19127556C2211yescharacteristic
152#19127556C2211yescharacteristic
153#19127556C2211yescharacteristic
154#19127556C2211yescharacteristic
155C4×Dic83⋊C4C2211yescharacteristic, complemented
156C4×Dic83⋊C4C2211yescharacteristic, complemented
157C4×C4⋊Dic83C2211yescharacteristic, complemented
158C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
162#19127548C2211yescharacteristic, complemented
163#19127548C2211yescharacteristic, complemented
164#19127548C2211yescharacteristic, complemented
165#19127548C2211yescharacteristic, complemented
166#19127548C2211yescharacteristic, complemented
167#19127548C2211yescharacteristic, complemented
168#19127548C2211yescharacteristic, complemented
169#19127548C2211yescharacteristic, complemented
170#19127547C2211yescharacteristic, complemented
171#95×D83C2211yescharacteristic, complemented
172#95×D83C2211yescharacteristic, complemented
173C2×C4×D4×C83C2211yescharacteristic
174#388×C83C2211yescharacteristic
175#388×C83C2211yescharacteristic
176#387×C83C2211yescharacteristic, complemented
177#387×C83C2211yescharacteristic, complemented
178#386×C83C2211yescharacteristic
179#386×C83C2211yescharacteristic
180#383×C83C2211yescharacteristic, complemented
181#381×C83C2211yescharacteristic
182#380×C83C2211yescharacteristic, complemented
183C4×C22⋊C4×C83C2211yescharacteristic
184C4×C22⋊C4×C83C2211yescharacteristic, complemented
185C4×C22⋊C4×C83C2211yescharacteristic, complemented
186#376×C83C2211yescharacteristic, complemented
187C2×#95×C83C2211yescharacteristic, complemented
188C24×D83C2311yescharacteristic
189C24×D83C2311yescharacteristic
190C2×#13050590—42no—
191C2×#13050590—42no—
192C2×#13050590C2×C418yescomplemented
193C22×Dic166C2311yescharacteristic
194C22×D332—42no—
195C22×D332—42no—
196C22×D332C2×C418yescomplemented
197C22×D332C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×D332C2311yescharacteristic
200C22×D332C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217#14581780C2×C418yescomplemented
218#14581777C2×C418yescomplemented
219#14581777C2×C418yescomplemented
220#14581771C2×C418yescomplemented
221#14581766C2×C418yescomplemented
222#14581765C2×C418yescomplemented
223#14581765C2×C418yescomplemented
224#14581760C2×C418yescomplemented
225#14581760C2×C418yescomplemented
226C4×D332—42no—
227C4×D332—42no—
228C4×D332C2×C418yescomplemented
229C4×C22⋊D83—42no—
230C4×C22⋊D83—42no—
231C4×C22⋊D83—42no—
232C4×C22⋊D83—42no—
233#14581750—42no—
234#14581749—42no—
235C2×C4⋊Dic83C2311yescharacteristic
236C2×C4⋊Dic83C2311yescharacteristic
237C2×C4⋊Dic83C2311yescharacteristic
238C2×C4⋊Dic83C2311yescharacteristic
239C2×C4⋊Dic83C2311yescharacteristic
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
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
252C4⋊C4×D83—42no—
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
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
295C22⋊C4×D83—42no—
296C22⋊C4×D83—42no—
297C22⋊C4×D83—42no—
298C22⋊C4×D83—42no—
299C22⋊C4×D83C2×C418yescomplemented
300C22⋊C4×D83C2×C418yescomplemented
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
313C42×D83—42no—
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
340C22×D4×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343C23×C4×C83C2311yescharacteristic
344C23×C4×C83C2311yescharacteristic
345C4×D4×C83C2×C418yescomplemented
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C42×C83C2311yescharacteristic
358C2×C42×C83C2311yescharacteristic
359C2×C42×C83C2311yescharacteristic
360C2×C42×C83C2311yescharacteristic
361C2×C42×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×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×D83—22no—
377C23×D83—22no—
378C23×D83—41no—
379C23×D83—41no—
380C23×D83—41no—
381C23×D83—41no—
382C23×D83—41no—
383C23×D83—41no—
384C23×D83—41no—
385C23×D83—41no—
386C23×D83—41no—
387C23×D83—41no—
388C23×D83C22×C414yes—
389C23×D83C22×C414yes—
390C23×D83C2411yescharacteristic
391C23×D83C2411yescharacteristic
392C23×D83C2411yescharacteristic
393C23×D83C2411yescharacteristic
394#13050590—416no—
395C2×Dic166—41no—
396C2×Dic166—41no—
397C2×Dic166C22×C414yes—
398C2×D332—22no—
399C2×D332—22no—
400C2×D332—22no—
401C2×D332—22no—
402C2×D332—416no—
403C2×D332—41no—
404C2×D332—41no—
405C2×D332—41no—
406C2×D332—41no—
407C2×D332C22×C414yes—
408C2×D332C22×C414yes—
409C2×D332C22×C414yes—
410C2×D332C22×C414yes—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—41no—
414C2×C22⋊D83—41no—
415C2×C22⋊D83—41no—
416C2×C22⋊D83—41no—
417C2×C22⋊D83—41no—
418C2×C22⋊D83—41no—
419C2×C22⋊D83C22×C414yes—
420C2×C22⋊D83C22×C414yes—
421C2×C22⋊D83C22×C414yes—
422C2×C22⋊D83C22×C414yes—
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C2×C4×D83—22no—
436C2×C4×D83—22no—
437C2×C4×D83—22no—
438C2×C4×D83—22no—
439C2×C4×D83—22no—
440C2×C4×D83—22no—
441C2×C4×D83—22no—
442C2×C4×D83—22no—
443C2×C4×D83—41no—
444C2×C4×D83—41no—
445C2×C4×D83—41no—
446C2×C4×D83—41no—
447C2×C4×D83—41no—
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×D83C22×C414yes—
468C2×C4×D83C22×C414yes—
469C2×C4×D83C22×C414yes—
470C2×C4×D83C22×C414yes—
471C4⋊Dic83—41no—
472C4⋊Dic83—41no—
473C4⋊Dic83—41no—
474C4⋊Dic83—41no—
475C4⋊Dic83—41no—
476C4⋊Dic83—41no—
477C4⋊Dic83C22×C414yes—
478Dic83⋊C4—22no—
479Dic83⋊C4—41no—
480Dic83⋊C4—41no—
481Dic83⋊C4—41no—
482Dic83⋊C4—41no—
483Dic83⋊C4—41no—
484Dic83⋊C4—41no—
485Dic83⋊C4—41no—
486Dic83⋊C4C22×C414yes—
487Dic83⋊C4C22×C414yes—
488C22⋊Dic83—41no—
489C22⋊Dic83—41no—
490C22⋊Dic83—41no—
491C22⋊Dic83—41no—
492C22⋊Dic83—41no—
493C22⋊Dic83—41no—
494C22⋊Dic83—41no—
495C22⋊Dic83—41no—
496C22⋊Dic83C22×C414yes—
497C22⋊Dic83C22×C414yes—
498(C2×D83)⋊C4—22no—
499(C2×D83)⋊C4—22no—
500(C2×D83)⋊C4—22no—
501(C2×D83)⋊C4—22no—
502(C2×D83)⋊C4—22no—
503(C2×D83)⋊C4—22no—
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)⋊C4—41no—
515(C2×D83)⋊C4—41no—
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)⋊C4C22×C414yes—
523(C2×D83)⋊C4C22×C414yes—
524(C2×D83)⋊C4C22×C414yes—
525(C2×D83)⋊C4C22×C414yes—
526(C2×D83)⋊C4C22×C414yes—
527(C2×D83)⋊C4C22×C414yes—
528(C2×D83)⋊C4C22×C414yes—
529(C2×D83)⋊C4C22×C414yes—
530C4×Dic83—22no—
531C4×Dic83—41no—
532C4×Dic83—41no—
533C4×Dic83—41no—
534C4×Dic83—41no—
535C4×Dic83—41no—
536C4×Dic83—41no—
537C4×Dic83—41no—
538C4×Dic83—41no—
539C4×Dic83—41no—
540C4×Dic83—41no—
541C4×Dic83—41no—
542C24×C83C2411yescharacteristic
543C24×C83C2411yescharacteristic
544C2×D4×C83—41no—
545C2×D4×C83—41no—
546C2×D4×C83C22×C414yes—
547C22×C4×C83—22no—
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×C83C22×C414yes—
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
571C22×C4×C83C2411yescharacteristic
572C4⋊C4×C83—41no—
573C4⋊C4×C83—41no—
574C4⋊C4×C83C22×C414yes—
575C22⋊C4×C83—22no—
576C22⋊C4×C83—41no—
577C22⋊C4×C83—41no—
578C22⋊C4×C83—41no—
579C22⋊C4×C83—41no—
580C22⋊C4×C83—41no—
581C22⋊C4×C83C22×C414yes—
582C22⋊C4×C83C22×C414yes—
583C42×C83—22no—
584C42×C83—41no—
585C42×C83—41no—
586C42×C83—41no—
587C42×C83C22×C414yes—
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×C83C23×C412yes—
601C23×C83C23×C412yes—
602C23×C83C2511yescharacteristic
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
606C22×D83—21no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
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—28no—
626C22×D83—44no—
627C22×D83—44no—
628C22×D83—44no—
629C22×D83—44no—
630C22×D83—44no—
631C22×D83—82no—
632C22×D83—82no—
633C22×D83—82no—
634C22×D83—82no—
635C22×D83—82no—
636C22×D83—82no—
637C22×D83—82no—
638C22×D83—82no—
639C22×D83C23×C412yes—
640C22×D83C23×C412yes—
641C22×D83C23×C412yes—
642C22×D83C23×C412yes—
643C22×D83H(5,𝔽2)12yes—
644C22×D83H(5,𝔽2)12yes—
645D4×C83—44no—
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—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—21no—
679C2×C4×C83—44no—
680C2×C4×C83—44no—
681C2×C4×C83—82no—
682C2×C4×C83—82no—
683C2×C4×C83C23×C412yes—
684C2×C4×C83C23×C412yes—
685C2×C4×C83C23×C412yes—
686C2×C4×C83C23×C412yes—
687C2×C4×C83C23×C412yes—
688C2×C4×C83H(5,𝔽2)12yes—
689C22⋊D83—28no—
690C22⋊D83—44no—
691C22⋊D83—44no—
692C22⋊D83—44no—
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—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—21no—
725C2×Dic83C23×C412yes—
726C2×Dic83C23×C412yes—
727C2×Dic83C23×C412yes—
728C2×Dic83C23×C412yes—
729D332—28no—
730D332—28no—
731D332—44no—
732D332—44no—
733C4×D83—28no—
734C4×D83—44no—
735C4×D83—44no—
736C4×D83—44no—
737C4×D83—44no—
738C4×D83—44no—
739C4×D83—82no—
740C4×D83—82no—
741C4×D83—82no—
742C4×D83—82no—
743C4×D83—82no—
744C4×D83—82no—
745Dic166—44no—
746C22×C83—22no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—22no—
750C22×C83—22no—
751C22×C83—22no—
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×C83C24×C411yescharacteristic
761C22×C83C2×H(5,𝔽2)11yescharacteristic
762C22×C83C2×H(5,𝔽2)11yescharacteristic
763C22×C83C2×H(5,𝔽2)11yescharacteristic
764C22×C83#58511yescharacteristic
765C22×C83#58511yescharacteristic
766C22×C83#58511yescharacteristic
767C2×D83—22no—
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—22no—
778C2×D83—22no—
779C2×D83—22no—
780C2×D83—22no—
781C2×D83—22no—
782C2×D83—41no—
783C2×D83—41no—
784C2×D83—41no—
785C2×D83—41no—
786C2×D83—41no—
787C2×D83—41no—
788C2×D83—41no—
789C2×D83—41no—
790C2×D83—41no—
791C2×D83—41no—
792C2×D83—41no—
793C2×D83—41no—
794C2×D83—88no—
795C2×D83—88no—
796C2×D83#51814yes—
797C4×C83—22no—
798C4×C83—22no—
799C4×C83—22no—
800C4×C83—22no—
801C4×C83—22no—
802C4×C83—22no—
803C4×C83—41no—
804C4×C83—41no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808C4×C83—41no—
809C4×C83—41no—
810Dic83—22no—
811Dic83—22no—
812Dic83—22no—
813Dic83—22no—
814Dic83—41no—
815Dic83—41no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822#34492—831nomaximal, Sylow
823C2×C83—42no—
824C2×C83—42no—
825C2×C83C2×#51811yescharacteristic
826C2×C83#342811yescharacteristic
827C2×C83C4×H(5,𝔽2)11yescharacteristic
828C2×C83#353411yescharacteristic
829C2×C83#354211yescharacteristic
830C2×C83#354511yescharacteristic
831C2×C83#356011yescharacteristic
832D83—24no—
833D83—42no—
834D83—42no—
835D83—42no—
836C2×#546—831no—
837#2378—831no—
838#2377—831no—
839#2376—831no—
840#2375—831no—
841#2372—831no—
842#2364—831no—
843#2363—831no—
844#2359—831no—
845#2358—831no—
846#2353—831no—
847#2353D8311yescharacteristic, complemented
848#2342—831no—
849#2342—831no—
850#2339—831no—
851D4×C22⋊C4—831no—
852#2337—831no—
853#2335—831no—
854#2333—831no—
855#2332—831no—
856#2325—831no—
857#2322—831no—
858#2321—831no—
859#2321—831no—
860#2319—831no—
861#2312—831no—
862#2311—831no—
863#2308—831no—
864C4×#121—831no—
865#2290—831no—
866C2×#388—831no—
867C83#3449211yescharacteristic, complemented, Sylow
868C22×#41—831no—
869C23×D4—831no—
870#546—8316no—
871C2×#124—831no—
872C2×#123—831no—
873C2×#123—831no—
874C2×C22⋊Q8—831no—
875C2×#121—831no—
876C2×#121—831no—
877C2×#121—831no—
878C2×#120—831no—
879C2×#120—831no—
880C2×C4×D4—831no—
881C2×C4×D4—831no—
882C2×C4×D4—831no—
883C2×C4×D4—831no—
884C2×C4×D4—831no—
885C2×C4×D4—831no—
886C2×C4×D4—831no—
887C2×C4×D4C2×D8311yescharacteristic
888C2×#117—831no—
889C2×#117—831no—
890C22×C4⋊C4—831no—
891C22×C22⋊C4—831no—
892C22×C22⋊C4—831no—
893C22×C22⋊C4—831no—
894C22×C22⋊C4—831no—
895C22×C22⋊C4—831no—
896C22×C22⋊C4—831no—
897C22×C42—831no—
898#391—831no—
899#391—831no—
900#391—831no—
901#391—831no—
902#390—831no—
903#390—831no—
904#390—831no—
905#390—831no—
906#390—831no—
907#390—831no—
908#390—831no—
909#390—831no—
910#389—831no—
911#389—831no—
912#389—831no—
913#389—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388—831no—
930#388—831no—
931#388—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#387—831no—
951#387—831no—
952#387C2×D8311yescharacteristic, complemented
953#387C2×D8311yescharacteristic, complemented
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#386C2×D8311yescharacteristic
975#386C2×D8311yescharacteristic
976#385—831no—
977#385—831no—
978#385—831no—
979#385—831no—
980#385—831no—
981#385—831no—
982#385—831no—
983#385—831no—
984#383C2×D8311yescharacteristic, complemented
985#381—831no—
986#381—831no—
987#381—831no—
988#381—831no—
989#381C2×D8311yescharacteristic
990#380—831no—
991#380—831no—
992#380—831no—
993#380—831no—
994#380—831no—
995#380—831no—
996#380C2×D8311yescharacteristic, complemented
997#379—831no—
998#379—831no—
999#379—831no—
1000#379—831no—
1001C4×C4⋊C4—831no—
1002C4×C4⋊C4—831no—
1003C4×C4⋊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⋊C4C2×D8311yescharacteristic
1017C4×C22⋊C4C2×D8311yescharacteristic, complemented
1018C4×C22⋊C4C2×D8311yescharacteristic, complemented
1019#376—831no—
1020#376C2×D8311yescharacteristic, complemented
1021C2×#95—831no—
1022C2×#95—831no—
1023C2×#95C2×D8311yescharacteristic, complemented
1024C25—831no—
1025C25—831no—
1026C2×#41—3322no—
1027C2×#41—3322no—
1028C2×#41—838no—
1029C22×Q8—831no—
1030C22×D4—3322no—
1031C22×D4—3322no—
1032C22×D4—831no—
1033C22×D4—831no—
1034C22×D4—831no—
1035C22×D4—831no—
1036C22×D4—838no—
1037C22×D4—831no—
1038C22×D4—831no—
1039C22×D4—831no—
1040C22×D4—831no—
1041C22×D4C22×D8311yescharacteristic
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×C4—831no—
1052C23×C4—831no—
1053C23×C4—831no—
1054C23×C4C22×D8311yescharacteristic
1055C23×C4C22×D8311yescharacteristic
1056C23×C4C22×D8311yescharacteristic
1057C23×C4C22×D8311yescharacteristic
1058#124—838no—
1059#123—838no—
1060#123—838no—
1061C22⋊Q8—838no—
1062#121—838no—
1063#121—838no—
1064#121—838no—
1065#120—838no—
1066#120—838no—
1067C4×D4—3322no—
1068C4×D4—3322no—
1069C4×D4—3322no—
1070C4×D4—3322no—
1071C4×D4—3322no—
1072C4×D4—3322no—
1073C4×D4—838no—
1074C4×D4C4×D8318yescomplemented
1075#117—3322no—
1076#117—3322no—
1077C2×C4⋊C4—3322no—
1078C2×C4⋊C4—831no—
1079C2×C4⋊C4—831no—
1080C2×C4⋊C4—831no—
1081C2×C4⋊C4—831no—
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×C22⋊C4—3322no—
1099C2×C22⋊C4—3322no—
1100C2×C22⋊C4—3322no—
1101C2×C22⋊C4—3322no—
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⋊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—838no—
1139C2×C22⋊C4—838no—
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⋊C4C22×D8311yescharacteristic
1147C2×C22⋊C4C22×D8311yescharacteristic
1148C2×C22⋊C4C22×D8311yescharacteristic
1149C2×C22⋊C4C22×D8311yescharacteristic
1150C2×C22⋊C4C22×D8311yescharacteristic
1151C2×C22⋊C4C22×D8311yescharacteristic
1152C2×C22⋊C4C22×D8311yescharacteristic
1153C2×C22⋊C4C22×D8311yescharacteristic
1154C2×C42—3322no—
1155C2×C42—831no—
1156C2×C42—831no—
1157C2×C42—831no—
1158C2×C42—831no—
1159C2×C42—831no—
1160C2×C42—831no—
1161C2×C42—831no—
1162C2×C42—831no—
1163C2×C42—831no—
1164C2×C42—831no—
1165C2×C42—831no—
1166C2×C42—831no—
1167C2×C42C22×D8311yescharacteristic
1168C2×C42C22×D8311yescharacteristic
1169C2×C42C22×D8311yescharacteristic
1170C2×C42C22×D8311yescharacteristic
1171C2×C42C22×D8311yescharacteristic
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#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#95C22×D8311yescharacteristic
1199#95C22×D8311yescharacteristic
1200#95C22×D8311yescharacteristic
1201#95C22×D8311yescharacteristic
1202#95C22×D8311yescharacteristic
1203#95C22×D8311yescharacteristic
1204#95C22×D8311yescharacteristic
1205#95C22×D8311yescharacteristic
1206#95C22×D8311yescharacteristic
1207#95C22×D8311yescharacteristic
1208#95C22×D8311yescharacteristic
1209#95C22×D8311yescharacteristic
1210#95C22×D8311yescharacteristic
1211#95C22×D8311yescharacteristic
1212C24—3321no—
1213C24—3321no—
1214C24—3321no—
1215C24—3321no—
1216C24—3321no—
1217C24—3321no—
1218C24—3321no—
1219C24—3321no—
1220C24—3321no—
1221C24—3321no—
1222C24—834no—
1223C24—834no—
1224C24—831no—
1225C24—831no—
1226C24—831no—
1227C24—831no—
1228C24—1662no—
1229C24—1662no—
1230C24C23×D8311yescharacteristic
1231C24C23×D8311yescharacteristic
1232#41—33216no—
1233C2×Q8—3321no—
1234C2×Q8—3321no—
1235C2×Q8—834no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—3321no—
1239C2×D4—3321no—
1240C2×D4—3321no—
1241C2×D4—3321no—
1242C2×D4—33216no—
1243C2×D4—3321no—
1244C2×D4—3321no—
1245C2×D4—3321no—
1246C2×D4—3321no—
1247C2×D4—3321no—
1248C2×D4—3321no—
1249C2×D4—834no—
1250C2×D4—834no—
1251C2×D4—834no—
1252C2×D4—834no—
1253C2×D4—834no—
1254C2×D4—834no—
1255C2×D4—834no—
1256C2×D4—834no—
1257C2×D4—1662no—
1258C2×D4—1662no—
1259C2×D4—1662no—
1260C2×D4—1662no—
1261C2×D4—1662no—
1262C2×D4—1662no—
1263C2×D4C2×C4×D8314yes—
1264C22×C4—22no—
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—834no—
1299C22×C4—834no—
1300C22×C4—834no—
1301C22×C4—831no—
1302C22×C4—831no—
1303C22×C4—831no—
1304C22×C4—831no—
1305C22×C4—834no—
1306C22×C4—831no—
1307C22×C4—831no—
1308C22×C4—831no—
1309C22×C4—831no—
1310C22×C4—831no—
1311C22×C4—831no—
1312C22×C4—831no—
1313C22×C4—831no—
1314C22×C4—1662no—
1315C22×C4—1662no—
1316C22×C4—1662no—
1317C22×C4—1662no—
1318C22×C4—1662no—
1319C22×C4—1662no—
1320C22×C4—1662no—
1321C22×C4—1662no—
1322C22×C4C2×C4×D8314yes—
1323C22×C4C2×C4×D8314yes—
1324C22×C4C23×D8311yescharacteristic
1325C22×C4C23×D8311yescharacteristic
1326C22×C4C23×D8311yescharacteristic
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
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—3321no—
1340C4⋊C4—3321no—
1341C4⋊C4—3321no—
1342C4⋊C4—3321no—
1343C4⋊C4—3321no—
1344C4⋊C4—3321no—
1345C4⋊C4—3321no—
1346C4⋊C4—3321no—
1347C4⋊C4—3321no—
1348C4⋊C4—3321no—
1349C4⋊C4—3321no—
1350C4⋊C4—3321no—
1351C4⋊C4—3321no—
1352C4⋊C4—834no—
1353C4⋊C4—834no—
1354C4⋊C4—834no—
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—3321no—
1364C22⋊C4—3321no—
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—834no—
1390C22⋊C4—834no—
1391C22⋊C4—834no—
1392C22⋊C4—834no—
1393C22⋊C4—834no—
1394C22⋊C4—834no—
1395C22⋊C4—834no—
1396C22⋊C4—834no—
1397C22⋊C4—834no—
1398C22⋊C4—834no—
1399C22⋊C4—1662no—
1400C22⋊C4—1662no—
1401C22⋊C4—1662no—
1402C22⋊C4—1662no—
1403C22⋊C4—1662no—
1404C22⋊C4—1662no—
1405C22⋊C4C2×C4×D8314yes—
1406C22⋊C4C2×C4×D8314yes—
1407C42—22no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—3321no—
1412C42—3321no—
1413C42—3321no—
1414C42—3321no—
1415C42—3321no—
1416C42—3321no—
1417C42—3321no—
1418C42—3321no—
1419C42—3321no—
1420C42—3321no—
1421C42—3321no—
1422C42—1662no—
1423C42C2×C4×D8314yes—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—3324no—
1437C23—3324no—
1438C23—3324no—
1439C23—3324no—
1440C23—3324no—
1441C23—832no—
1442C23—832no—
1443C23—832no—
1444C23—832no—
1445C23—832no—
1446C23—832no—
1447C23—6642no—
1448C23—6642no—
1449C23—6642no—
1450C23—6642no—
1451C23—6642no—
1452C23—6642no—
1453C23—6642no—
1454C23—6642no—
1455C23—1668no—
1456C23—1661no—
1457C23—1661no—
1458C23—1661no—
1459C23—1661no—
1460C23—1661no—
1461C23—1661no—
1462C23—1661no—
1463C23—1661no—
1464C23—1661no—
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—
1478C23C22×C4×D8312yes—
1479C23C22×C4×D8312yes—
1480C23C24×D8311yescharacteristic
1481Q8—3324no—
1482D4—44no—
1483D4—3324no—
1484D4—3324no—
1485D4—3324no—
1486D4—3324no—
1487D4—3324no—
1488D4—1668no—
1489D4—1668no—
1490D4—1668no—
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—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—44no—
1525C2×C4—44no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—3324no—
1529C2×C4—3324no—
1530C2×C4—3324no—
1531C2×C4—3324no—
1532C2×C4—3324no—
1533C2×C4—832no—
1534C2×C4—832no—
1535C2×C4—832no—
1536C2×C4—832no—
1537C2×C4—6642no—
1538C2×C4—6642no—
1539C2×C4—6642no—
1540C2×C4—6642no—
1541C2×C4—6642no—
1542C2×C4—6642no—
1543C2×C4—1668no—
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—1661no—
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×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×C4C22×C4×D8312yes—
1577C2×C4C22×C4×D8312yes—
1578C2×C4C22×C4×D8312yes—
1579C2×C4C22×C4×D8312yes—
1580C2×C4C22×C4×D8312yes—
1581C2×C4#1458183812yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—3321no—
1597C22—3321no—
1598C22—3321no—
1599C22—3321no—
1600C22—3321no—
1601C22—3321no—
1602C22—3321no—
1603C22—3321no—
1604C22—3321no—
1605C22—3321no—
1606C22—3321no—
1607C22—3321no—
1608C22—834no—
1609C22—6648no—
1610C22—6648no—
1611C22—1662no—
1612C22—1662no—
1613C22—1662no—
1614C22—1662no—
1615C22—1662no—
1616C22—1662no—
1617C22—1662no—
1618C22—1662no—
1619C22—1662no—
1620C22—1662no—
1621C22—1662no—
1622C22—1662no—
1623C22—1662no—
1624C22—1662no—
1625C22—1662no—
1626C22C23×C4×D8311yescharacteristic
1627C22H(5,𝔽2)×D8311yescharacteristic
1628C22H(5,𝔽2)×D8311yescharacteristic
1629C22C2×#1458183811yescharacteristic
1630C22#1912853711yescharacteristic
1631C22#1912853711yescharacteristic
1632C22#1912853711yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—3321no—
1647C4—3321no—
1648C4—3321no—
1649C4—3321no—
1650C4—3321no—
1651C4—3321no—
1652C4—3321no—
1653C4—3321no—
1654C4—1662no—
1655C4—1662no—
1656C4—1662no—
1657C4—1662no—
1658C2—42no—
1659C2—42no—
1660C2—3322no—
1661C2—3322no—
1662C2—3322no—
1663C2—1664no—
1664C2#518×D8311yescharacteristic
1665C2#2492066411yescharacteristic
1666C2C4×#1458183811yescharacteristic
1667C2#2492165611yescharacteristic
1668C2#2492178211yescharacteristic
1669C2#2492181611yescharacteristic
1670C2#2492200211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2353C2
socle, cosocleC23×C83C25
prime radicalC2×#19128347C2
hypercenter#2353D83
hypocenterC83#34492
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2353

Complements

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

NH ≅ G/Ntype
2. #24910631C2semidirect
3. #24910617C2semidirect
4. #24910610C2semidirect
5. #24910601C2semidirect
6. #24910573C2semidirect
7. #24910514C2semidirect
8. #24910502C2semidirect
9. #24910462C2semidirect
10. #24910446C2semidirect
11. #24910396C2semidirect
12. #24910311C2semidirect
13. #24910307C2semidirect
14. #24910290C2semidirect
15. C22⋊C4×D332C2semidirect
16. #24910273C2semidirect
17. #24910252C2semidirect
18. #24910223C2semidirect
19. #24910219C2semidirect
20. #24910166C2semidirect
21. #24910136C2semidirect
22. #24910119C2semidirect
23. #24910119C2semidirect
24. #24910106C2semidirect
25. #24910057C2semidirect
26. #24910052C2semidirect
27. #24910040C2semidirect
28. C4×#14581765C2semidirect
29. #24909907C2semidirect
30. #388×D83C2semidirect
31. C83×#2353C2semidirect
34. #19128347C4semidirect
47. C2×C4×C22⋊D83C22semidirect
48. C2×C4×C22⋊D83C22semidirect
49. C2×C4×C22⋊D83C22semidirect
50. C2×C4×C22⋊D83C22semidirect
51. C2×#14581750C22semidirect
52. C2×#14581749C22semidirect
53. C2×C4⋊C4×D83C22semidirect
60. C2×C42×D83C22semidirect
61. #19127605C22semidirect
62. #19127605C22semidirect
63. #19127605C22semidirect
64. #19127605C22semidirect
69. #19127601C22semidirect
70. #19127601C22semidirect
71. #19127601C22semidirect
72. #19127601C22semidirect
73. #19127600C22semidirect
74. #19127600C22semidirect
75. #19127598C22semidirect
76. #19127598C22semidirect
83. #19127594C22semidirect
84. #19127594C22semidirect
85. #19127593C22semidirect
86. #19127593C22semidirect
87. #19127593C22semidirect
88. #19127593C22semidirect
89. #19127593C22semidirect
90. #19127593C22semidirect
91. #19127592C22semidirect
92. #19127592C22semidirect
93. #19127591C22semidirect
94. #19127591C22semidirect
95. #19127590C22semidirect
96. #19127590C22semidirect
97. #19127590C22semidirect
98. #19127590C22semidirect
99. #19127590C22semidirect
100. #19127590C22semidirect
105. #19127588C22semidirect
106. #19127588C22semidirect
107. #19127586C22semidirect
108. #19127586C22semidirect
109. #19127586C22semidirect
110. #19127586C22semidirect
111. #19127585C22semidirect
112. #19127585C22semidirect
113. #19127580C22semidirect
114. #19127580C22semidirect
115. #19127580C22semidirect
116. #19127580C22semidirect
129. #19127577C22semidirect
130. #19127577C22semidirect
131. #19127577C22semidirect
132. #19127577C22semidirect
133. #19127575C22semidirect
134. #19127575C22semidirect
135. #19127575C22semidirect
136. #19127575C22semidirect
137. #19127575C22semidirect
138. #19127575C22semidirect
139. #19127572C22semidirect
140. #19127572C22semidirect
142. #19127564C22semidirect
143. #19127563C22semidirect
144. #19127563C22semidirect
146. #19127561C22semidirect
147. #19127560C22semidirect
148. #19127560C22semidirect
149. #19127558C22semidirect
150. #19127558C22semidirect
155. C4×Dic83⋊C4C22semidirect
156. C4×Dic83⋊C4C22semidirect
157. C4×C4⋊Dic83C22semidirect
158. C4×(C2×D83)⋊C4C22semidirect
159. C4×(C2×D83)⋊C4C22semidirect
160. C4×(C2×D83)⋊C4C22semidirect
161. C4×(C2×D83)⋊C4C22semidirect
162. #19127548C22semidirect
163. #19127548C22semidirect
164. #19127548C22semidirect
165. #19127548C22semidirect
166. #19127548C22semidirect
167. #19127548C22semidirect
168. #19127548C22semidirect
169. #19127548C22semidirect
170. #19127547C22semidirect
171. #95×D83C22semidirect
172. #95×D83C22semidirect
176. #387×C83C22semidirect
177. #387×C83C22semidirect
180. #383×C83C22semidirect
182. #380×C83C22semidirect
184. C4×C22⋊C4×C83C22semidirect
185. C4×C22⋊C4×C83C22semidirect
186. #376×C83C22semidirect
187. C2×#95×C83C22semidirect
192. C2×#13050590C2×C4semidirect
196. C22×D332C2×C4semidirect
217. #14581780C2×C4semidirect
218. #14581777C2×C4semidirect
219. #14581777C2×C4semidirect
220. #14581771C2×C4semidirect
221. #14581766C2×C4semidirect
222. #14581765C2×C4semidirect
223. #14581765C2×C4semidirect
224. #14581760C2×C4semidirect
225. #14581760C2×C4semidirect
228. C4×D332C2×C4semidirect
299. C22⋊C4×D83C2×C4semidirect
300. C22⋊C4×D83C2×C4semidirect
345. C4×D4×C83C2×C4semidirect
847. #2353D83semidirect
867. C83#34492semidirect
952. #387C2×D83semidirect
953. #387C2×D83semidirect
984. #383C2×D83semidirect
996. #380C2×D83semidirect
1017. C4×C22⋊C4C2×D83semidirect
1018. C4×C22⋊C4C2×D83semidirect
1020. #376C2×D83semidirect
1023. C2×#95C2×D83semidirect
1074. C4×D4C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283472
#249106312
#249106172
#249106102
#249106012
#249105732
#249105142
#249105022
#249104622
#249104462
#249103962
#249103112
#249103072
#249102902
C22⋊C4×D3322
#249102732
#249102522
#249102232
#249102192
#249101662
#249101362
#249101192
#249101062
#249100572
#249100522
#249100402
C4×#145817652
#249099072
#388×D832
C83×#23532
#3449283