Finite Group Databasebeta

← #35568950

Subgroups — #35568950

Order 21248.

2844 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128347C211yesmaximal, characteristic
2#24910634C211yesmaximal, characteristic, complemented
3#24910622C211yesmaximal, characteristic, complemented
4#24910616C211yesmaximal, characteristic, complemented
5#24910610C211yesmaximal, characteristic, complemented
6#24910546C211yesmaximal, characteristic, complemented
7#24910476C211yesmaximal, characteristic, complemented
8#24910462C211yesmaximal, characteristic, complemented
9#24910443C211yesmaximal, characteristic, complemented
10#24910443C211yesmaximal, characteristic, complemented
11#24910389C211yesmaximal, characteristic, complemented
12#24910373C211yesmaximal, characteristic, complemented
13#24910310C211yesmaximal, characteristic, complemented
14#24910310C211yesmaximal, characteristic, complemented
15#24910287C211yesmaximal, characteristic, complemented
16C22⋊C4×D332C211yesmaximal, characteristic, complemented
17#24910273C211yesmaximal, characteristic, complemented
18#24910252C211yesmaximal, characteristic, complemented
19#24910196C211yesmaximal, characteristic, complemented
20#24910167C211yesmaximal, characteristic, complemented
21#24910163C211yesmaximal, characteristic, complemented
22#24910151C211yesmaximal, characteristic, complemented
23#24910136C211yesmaximal, characteristic, complemented
24#24910126C211yesmaximal, characteristic, complemented
25#24910094C211yesmaximal, characteristic, complemented
26#24910074C211yesmaximal, characteristic, complemented
27#24910052C211yesmaximal, characteristic, complemented
28#24909968C211yesmaximal, characteristic, complemented
29C2×#19127579C211yesmaximal, characteristic, complemented
30#385×D83C211yesmaximal, characteristic, complemented
31C83×#2318C211yesmaximal, characteristic, complemented
32C22×#13050590C2211yescharacteristic
33C23×D332C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic
35#19128347C4116yescomplemented
36C2×#14581780C2211yescharacteristic
37C2×#14581777C2211yescharacteristic
38C2×#14581777C2211yescharacteristic
39C2×#14581771C2211yescharacteristic
40C2×#14581766C2211yescharacteristic
41C2×#14581765C2211yescharacteristic
42C2×#14581765C2211yescharacteristic
43C2×#14581760C2211yescharacteristic
44C2×#14581760C2211yescharacteristic
45C2×C4×D332C2211yescharacteristic
46C2×C4×D332C2211yescharacteristic
47C2×C4×D332C2211yescharacteristic
48C2×D4×Dic83C2211yescharacteristic
49C2×D4×Dic83C2211yescharacteristic
50C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
51C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
52C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
53C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
54C2×#14581750C2211yescharacteristic, complemented
55C2×#14581750C2211yescharacteristic, complemented
56C2×C4⋊C4×D83C2211yescharacteristic, complemented
57C2×C4⋊C4×D83C2211yescharacteristic, complemented
58C22×(C2×D83)⋊C4C2211yescharacteristic
59C22×(C2×D83)⋊C4C2211yescharacteristic
60C22×(C2×D83)⋊C4C2211yescharacteristic
61C2×C22⋊C4×D83C2211yescharacteristic
62C2×C22⋊C4×D83C2211yescharacteristic
63C2×C22⋊C4×D83C2211yescharacteristic
64C2×C22⋊C4×D83C2211yescharacteristic
65#19127605C2211yescharacteristic, complemented
66#19127605C2211yescharacteristic, complemented
67#19127605C2211yescharacteristic, complemented
68#19127605C2211yescharacteristic, complemented
69#19127603C2211yescharacteristic
70#19127603C2211yescharacteristic
71#19127601C2211yescharacteristic, complemented
72#19127601C2211yescharacteristic, complemented
73#19127601C2211yescharacteristic, complemented
74#19127601C2211yescharacteristic, complemented
75#19127600C2211yescharacteristic, complemented
76#19127600C2211yescharacteristic, complemented
77#19127598C2211yescharacteristic, complemented
78#19127598C2211yescharacteristic, complemented
79#19127593C2211yescharacteristic, complemented
80#19127593C2211yescharacteristic, complemented
81#19127593C2211yescharacteristic, complemented
82#19127593C2211yescharacteristic, complemented
83#19127593C2211yescharacteristic, complemented
84#19127593C2211yescharacteristic, complemented
85#19127593C2211yescharacteristic, complemented
86#19127593C2211yescharacteristic, complemented
87#19127591C2211yescharacteristic, complemented
88#19127591C2211yescharacteristic, complemented
89#19127591C2211yescharacteristic, complemented
90#19127591C2211yescharacteristic, complemented
91#19127590C2211yescharacteristic, complemented
92#19127590C2211yescharacteristic, complemented
93#19127590C2211yescharacteristic, complemented
94#19127590C2211yescharacteristic, complemented
95#19127588C2211yescharacteristic, complemented
96#19127588C2211yescharacteristic, complemented
97#19127585C2211yescharacteristic, complemented
98#19127585C2211yescharacteristic, complemented
99#19127584C2211yescharacteristic, complemented
100#19127584C2211yescharacteristic, complemented
101#19127584C2211yescharacteristic, complemented
102#19127584C2211yescharacteristic, complemented
103#19127579C2211yescharacteristic
104#19127579C2211yescharacteristic
105#19127579C2211yescharacteristic
106#19127579C2211yescharacteristic
107#19127579C2211yescharacteristic
108#19127579C2211yescharacteristic
109#19127579C2211yescharacteristic
110#19127579C2211yescharacteristic
111#19127579C2211yescharacteristic
112#19127579C2211yescharacteristic
113#19127579C2211yescharacteristic
114#19127579C2211yescharacteristic
115#19127578C2211yescharacteristic, complemented
116#19127578C2211yescharacteristic, complemented
117#19127578C2211yescharacteristic, complemented
118#19127578C2211yescharacteristic, complemented
119#19127577C2211yescharacteristic, complemented
120#19127577C2211yescharacteristic, complemented
121#19127577C2211yescharacteristic, complemented
122#19127577C2211yescharacteristic, complemented
123#19127576C2211yescharacteristic
124#19127576C2211yescharacteristic
125#19127576C2211yescharacteristic, complemented
126#19127576C2211yescharacteristic, complemented
127#19127575C2211yescharacteristic, complemented
128#19127575C2211yescharacteristic, complemented
129#19127575C2211yescharacteristic, complemented
130#19127575C2211yescharacteristic, complemented
131#19127575C2211yescharacteristic, complemented
132#19127575C2211yescharacteristic, complemented
133#19127575C2211yescharacteristic, complemented
134#19127575C2211yescharacteristic, complemented
135#19127574C2211yescharacteristic
136#19127574C2211yescharacteristic
137#19127573C2211yescharacteristic
138#19127573C2211yescharacteristic
139#19127572C2211yescharacteristic, complemented
140#19127572C2211yescharacteristic, complemented
141#19127572C2211yescharacteristic, complemented
142#19127572C2211yescharacteristic, complemented
143#19127567C2211yescharacteristic, complemented
144#19127563C2211yescharacteristic, complemented
145#19127563C2211yescharacteristic, complemented
146#19127561C2211yescharacteristic
147#19127561C2211yescharacteristic, complemented
148#19127560C2211yescharacteristic, complemented
149#19127560C2211yescharacteristic, complemented
150#19127558C2211yescharacteristic, complemented
151#19127558C2211yescharacteristic, complemented
152#19127558C2211yescharacteristic, complemented
153#19127558C2211yescharacteristic, complemented
154#19127556C2211yescharacteristic
155#19127556C2211yescharacteristic
156C4×Dic83⋊C4C2211yescharacteristic, complemented
157C4×Dic83⋊C4C2211yescharacteristic, complemented
158C4×C4⋊Dic83C2211yescharacteristic, complemented
159C22⋊C4×Dic83C2211yescharacteristic
160C22⋊C4×Dic83C2211yescharacteristic
161C4×C22⋊Dic83C2211yescharacteristic
162C4×C22⋊Dic83C2211yescharacteristic
163#19127548C2211yescharacteristic, complemented
164#19127548C2211yescharacteristic, complemented
165#19127548C2211yescharacteristic, complemented
166#19127548C2211yescharacteristic, complemented
167#19127548C2211yescharacteristic, complemented
168#19127548C2211yescharacteristic, complemented
169C2×C83⋊#95C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic, complemented
171#95×D83C2211yescharacteristic, complemented
172#95×D83C2211yescharacteristic, complemented
173C2×C4×D4×C83C2211yescharacteristic
174#388×C83C2211yescharacteristic, complemented
175#388×C83C2211yescharacteristic, complemented
176#387×C83C2211yescharacteristic, complemented
177#387×C83C2211yescharacteristic, complemented
178#386×C83C2211yescharacteristic
179#386×C83C2211yescharacteristic
180#385×C83C2211yescharacteristic
181#385×C83C2211yescharacteristic
182#383×C83C2211yescharacteristic, complemented
183#382×C83C2211yescharacteristic, complemented
184#381×C83C2211yescharacteristic, complemented
185#380×C83C2211yescharacteristic, complemented
186C4×C22⋊C4×C83C2211yescharacteristic
187C2×#95×C83C2211yescharacteristic
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
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C22×C4×D83—42no—
210C22×C4×D83—42no—
211C22×C4×D83—42no—
212C22×C4×D83C2311yescharacteristic
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
222C22×C4×D83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224#14581780C2×C418yescomplemented
225#14581777C2×C418yescomplemented
226#14581777C2×C418yescomplemented
227#14581771C2×C418yescomplemented
228#14581766C2×C418yescomplemented
229#14581765C2×C418yescomplemented
230#14581765C2×C418yescomplemented
231#14581760C2×C418yescomplemented
232#14581760C2×C418yescomplemented
233C4×D332—42no—
234C4×D332—42no—
235C4×D332C2×C418yescomplemented
236D4×Dic83—42no—
237D4×Dic83—42no—
238(C22⋊D83)⋊C4—42no—
239(C22⋊D83)⋊C4—42no—
240(C22⋊D83)⋊C4—42no—
241(C22⋊D83)⋊C4—42no—
242#14581750—42no—
243#14581750—42no—
244C2×C4⋊Dic83C2311yescharacteristic
245C2×C4⋊Dic83C2311yescharacteristic
246C2×C4⋊Dic83C2311yescharacteristic
247C2×C4⋊Dic83C2311yescharacteristic
248C2×C4⋊Dic83C2311yescharacteristic
249C2×C4⋊Dic83C2311yescharacteristic
250C2×C4⋊Dic83C2311yescharacteristic
251C2×C4⋊Dic83C2311yescharacteristic
252C2×C4⋊Dic83C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
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
263C4⋊C4×D83—42no—
264C4⋊C4×D83—42no—
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×(C2×D83)⋊C4—42no—
272C2×(C2×D83)⋊C4—42no—
273C2×(C2×D83)⋊C4—42no—
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C2×(C2×D83)⋊C4C2311yescharacteristic
306C22⋊C4×D83—42no—
307C22⋊C4×D83—42no—
308C22⋊C4×D83C2×C418yescomplemented
309C22⋊C4×D83C2×C418yescomplemented
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
319C2×C4×Dic83C2311yescharacteristic
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
347C23×C4×C83C2311yescharacteristic
348C23×C4×C83C2311yescharacteristic
349C23×C4×C83C2311yescharacteristic
350C23×C4×C83C2311yescharacteristic
351C4×D4×C83C2×C418yescomplemented
352C2×C4⋊C4×C83C2311yescharacteristic
353C2×C4⋊C4×C83C2311yescharacteristic
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C4⋊C4×C83C2311yescharacteristic
356C2×C4⋊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×C42×C83C2311yescharacteristic
366C2×C42×C83C2311yescharacteristic
367C2×C42×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
376#95×C83C2311yescharacteristic
377#95×C83C2311yescharacteristic
378#95×C83C2311yescharacteristic
379#95×C83C2311yescharacteristic
380#95×C83C2311yescharacteristic
381#95×C83C2311yescharacteristic
382C23×D83—22no—
383C23×D83—22no—
384C23×D83—22no—
385C23×D83—22no—
386C23×D83—22no—
387C23×D83—22no—
388C23×D83—41no—
389C23×D83—41no—
390C23×D83—41no—
391C23×D83—41no—
392C23×D83—41no—
393C23×D83—41no—
394C23×D83C22×C414yes—
395C23×D83C22×C414yes—
396C23×D83C2411yescharacteristic
397C23×D83C2411yescharacteristic
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400#13050590—416no—
401C2×Dic166—41no—
402C2×Dic166—41no—
403C2×Dic166C22×C414yescomplemented
404C2×D332—22no—
405C2×D332—22no—
406C2×D332—22no—
407C2×D332—22no—
408C2×D332—416no—
409C2×D332—41no—
410C2×D332—41no—
411C2×D332—41no—
412C2×D332—41no—
413C2×D332C22×C414yes—
414C2×D332C22×C414yes—
415C2×D332C22×C414yes—
416C2×D332C22×C414yes—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—41no—
420C2×C22⋊D83—41no—
421C2×C22⋊D83—41no—
422C2×C22⋊D83—41no—
423C2×C22⋊D83—41no—
424C2×C22⋊D83—41no—
425C2×C22⋊D83C22×C414yes—
426C2×C22⋊D83C22×C414yes—
427C2×C22⋊D83C22×C414yescomplemented
428C2×C22⋊D83C22×C414yescomplemented
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×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C22×Dic83C2411yescharacteristic
448C22×Dic83C2411yescharacteristic
449C22×Dic83C2411yescharacteristic
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C2×C4×D83—22no—
454C2×C4×D83—22no—
455C2×C4×D83—22no—
456C2×C4×D83—22no—
457C2×C4×D83—22no—
458C2×C4×D83—22no—
459C2×C4×D83—22no—
460C2×C4×D83—22no—
461C2×C4×D83—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×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—416no—
476C2×C4×D83—41no—
477C2×C4×D83—41no—
478C2×C4×D83—41no—
479C2×C4×D83—41no—
480C2×C4×D83—41no—
481C2×C4×D83—41no—
482C2×C4×D83—41no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83C22×C414yes—
487C2×C4×D83C22×C414yes—
488C2×C4×D83C22×C414yescomplemented
489C2×C4×D83C22×C414yescomplemented
490C4⋊Dic83—22no—
491C4⋊Dic83—41no—
492C4⋊Dic83—41no—
493C4⋊Dic83—41no—
494C4⋊Dic83—41no—
495C4⋊Dic83—41no—
496C4⋊Dic83—41no—
497C4⋊Dic83—41no—
498C4⋊Dic83C22×C414yescomplemented
499Dic83⋊C4—22no—
500Dic83⋊C4—41no—
501Dic83⋊C4—41no—
502Dic83⋊C4—41no—
503Dic83⋊C4—41no—
504Dic83⋊C4—41no—
505Dic83⋊C4—41no—
506Dic83⋊C4—41no—
507Dic83⋊C4C22×C414yescomplemented
508Dic83⋊C4C22×C414yescomplemented
509C22⋊Dic83—22no—
510C22⋊Dic83—22no—
511C22⋊Dic83—41no—
512C22⋊Dic83—41no—
513C22⋊Dic83C22×C414yes—
514C22⋊Dic83C22×C414yes—
515(C2×D83)⋊C4—22no—
516(C2×D83)⋊C4—22no—
517(C2×D83)⋊C4—22no—
518(C2×D83)⋊C4—22no—
519(C2×D83)⋊C4—22no—
520(C2×D83)⋊C4—22no—
521(C2×D83)⋊C4—41no—
522(C2×D83)⋊C4—41no—
523(C2×D83)⋊C4—41no—
524(C2×D83)⋊C4—41no—
525(C2×D83)⋊C4—41no—
526(C2×D83)⋊C4—41no—
527(C2×D83)⋊C4—41no—
528(C2×D83)⋊C4—41no—
529(C2×D83)⋊C4—41no—
530(C2×D83)⋊C4—41no—
531(C2×D83)⋊C4—41no—
532(C2×D83)⋊C4—41no—
533(C2×D83)⋊C4—41no—
534(C2×D83)⋊C4—41no—
535(C2×D83)⋊C4—41no—
536(C2×D83)⋊C4—41no—
537(C2×D83)⋊C4—41no—
538(C2×D83)⋊C4—41no—
539(C2×D83)⋊C4C22×C414yes—
540(C2×D83)⋊C4C22×C414yes—
541(C2×D83)⋊C4C22×C414yes—
542(C2×D83)⋊C4C22×C414yes—
543(C2×D83)⋊C4C22×C414yescomplemented
544(C2×D83)⋊C4C22×C414yescomplemented
545(C2×D83)⋊C4C22×C414yescomplemented
546(C2×D83)⋊C4C22×C414yescomplemented
547C4×Dic83—22no—
548C4×Dic83—41no—
549C4×Dic83—41no—
550C4×Dic83—41no—
551C4×Dic83—41no—
552C4×Dic83—41no—
553C4×Dic83—41no—
554C4×Dic83—41no—
555C4×Dic83—41no—
556C4×Dic83—41no—
557C24×C83C2411yescharacteristic
558C24×C83C2411yescharacteristic
559C2×D4×C83—22no—
560C2×D4×C83—22no—
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×C83—41no—
571C22×C4×C83—41no—
572C22×C4×C83C22×C414yes—
573C22×C4×C83C22×C414yescomplemented
574C22×C4×C83C2411yescharacteristic
575C22×C4×C83C2411yescharacteristic
576C22×C4×C83C2411yescharacteristic
577C22×C4×C83C2411yescharacteristic
578C22×C4×C83C2411yescharacteristic
579C22×C4×C83C2411yescharacteristic
580C22×C4×C83C2411yescharacteristic
581C22×C4×C83C2411yescharacteristic
582C22×C4×C83C2411yescharacteristic
583C22×C4×C83C2411yescharacteristic
584C22×C4×C83C2411yescharacteristic
585C22×C4×C83C2411yescharacteristic
586C22×C4×C83C2411yescharacteristic
587C4⋊C4×C83—41no—
588C4⋊C4×C83—41no—
589C4⋊C4×C83—41no—
590C4⋊C4×C83—41no—
591C4⋊C4×C83C22×C414yescomplemented
592C22⋊C4×C83—22no—
593C22⋊C4×C83—22no—
594C22⋊C4×C83—41no—
595C22⋊C4×C83—41no—
596C22⋊C4×C83—41no—
597C22⋊C4×C83—41no—
598C22⋊C4×C83C22×C414yes—
599C22⋊C4×C83C22×C414yescomplemented
600C42×C83—41no—
601C42×C83—41no—
602C42×C83C22×C414yescomplemented
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×C83C23×C412yes—
614C23×C83C23×C412yes—
615C23×C83H(5,𝔽2)12yes—
616C23×C832−1+412yes—
617C23×C83C2511yescharacteristic
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—28no—
623C22×D83—21no—
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—28no—
642C22×D83—28no—
643C22×D83—44no—
644C22×D83—44no—
645C22×D83—44no—
646C22×D83—44no—
647C22×D83—44no—
648C22×D83—44no—
649C22×D83—44no—
650C22×D83—82no—
651C22×D83—82no—
652C22×D83—82no—
653C22×D83—82no—
654C22×D83C23×C412yes—
655C22×D83C23×C412yes—
656C22×D83C23×C412yes—
657C22×D83C23×C412yes—
658C22×D83H(5,𝔽2)12yes—
659C22×D83H(5,𝔽2)12yes—
660D4×C83—28no—
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—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—21no—
685C2×C4×C83—21no—
686C2×C4×C83—21no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—21no—
690C2×C4×C83—21no—
691C2×C4×C83—21no—
692C2×C4×C83—21no—
693C2×C4×C83—21no—
694C2×C4×C83—21no—
695C2×C4×C83—44no—
696C2×C4×C83—44no—
697C2×C4×C83—44no—
698C2×C4×C83—82no—
699C2×C4×C83C23×C412yes—
700C2×C4×C83C23×C412yes—
701C2×C4×C83C23×C412yes—
702C2×C4×C83C23×C412yes—
703C2×C4×C83C23×C412yes—
704C22⋊D83—28no—
705C22⋊D83—44no—
706C22⋊D83—44no—
707C22⋊D83—44no—
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×Dic83—21no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—21no—
729C2×Dic83—21no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—21no—
735C2×Dic83—21no—
736C2×Dic83—21no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—44no—
740C2×Dic83—82no—
741C2×Dic83—82no—
742C2×Dic83—82no—
743C2×Dic83C23×C412yes—
744C2×Dic83C23×C412yes—
745C2×Dic83C23×C412yes—
746C2×Dic83C23×C412yes—
747C2×Dic83H(5,𝔽2)12yes—
748D332—28no—
749D332—28no—
750D332—44no—
751D332—44no—
752C4×D83—28no—
753C4×D83—44no—
754C4×D83—44no—
755C4×D83—44no—
756C4×D83—44no—
757C4×D83—44no—
758C4×D83—44no—
759C4×D83—44no—
760C4×D83—82no—
761C4×D83—82no—
762C4×D83—82no—
763C4×D83—82no—
764Dic166—44no—
765C22×C83—22no—
766C22×C83—22no—
767C22×C83—22no—
768C22×C83—22no—
769C22×C83—22no—
770C22×C83—22no—
771C22×C83—22no—
772C22×C83—22no—
773C22×C83—22no—
774C22×C83—41no—
775C22×C83—41no—
776C22×C83—41no—
777C22×C83—41no—
778C22×C83#52014yes—
779C22×C83C24×C411yescharacteristic
780C22×C83C2×H(5,𝔽2)11yescharacteristic
781C22×C83C2×H(5,𝔽2)11yescharacteristic
782C22×C83C2×H(5,𝔽2)11yescharacteristic
783C22×C83C2×H(5,𝔽2)11yescharacteristic
784C22×C83C2×2−1+411yescharacteristic
785C22×C83#58511yescharacteristic
786C2×D83—22no—
787C2×D83—22no—
788C2×D83—22no—
789C2×D83—22no—
790C2×D83—22no—
791C2×D83—22no—
792C2×D83—22no—
793C2×D83—22no—
794C2×D83—22no—
795C2×D83—22no—
796C2×D83—22no—
797C2×D83—22no—
798C2×D83—22no—
799C2×D83—22no—
800C2×D83—22no—
801C2×D83—416no—
802C2×D83—41no—
803C2×D83—41no—
804C2×D83—41no—
805C2×D83—41no—
806C2×D83—41no—
807C2×D83—41no—
808C2×D83—41no—
809C2×D83—41no—
810C2×D83—41no—
811C2×D83—41no—
812C2×D83—41no—
813C2×D83—41no—
814C2×D83—88no—
815C2×D83#51814yes—
816C4×C83—22no—
817C4×C83—22no—
818C4×C83—22no—
819C4×C83—22no—
820C4×C83—22no—
821C4×C83—41no—
822C4×C83—41no—
823C4×C83—41no—
824C4×C83—41no—
825C4×C83—41no—
826C4×C83—41no—
827C4×C83—41no—
828C4×C83—41no—
829Dic83—22no—
830Dic83—22no—
831Dic83—22no—
832Dic83—22no—
833Dic83—22no—
834Dic83—41no—
835Dic83—41no—
836Dic83—41no—
837Dic83—41no—
838Dic83—41no—
839Dic83—41no—
840Dic83—41no—
841#34456—831nomaximal, Sylow
842C2×C83—24no—
843C2×C83—42no—
844C2×C83C2×#51811yescharacteristic
845C2×C83C2×#52011yescharacteristic
846C2×C83C4×H(5,𝔽2)11yescharacteristic
847C2×C83#353211yescharacteristic
848C2×C83#353411yescharacteristic
849C2×C83#353511yescharacteristic
850C2×C83#353611yescharacteristic
851D83—24no—
852D83—42no—
853D83—42no—
854D83—42no—
855C2×#546—831no—
856#2379—831no—
857#2377—831no—
858#2377—831no—
859#2376—831no—
860#2368—831no—
861#2361—831no—
862#2359—831no—
863#2358—831no—
864#2358—831no—
865#2352—831no—
866#2349—831no—
867#2342—831no—
868#2342—831no—
869#2339—831no—
870D4×C22⋊C4—831no—
871#2337—831no—
872#2335—831no—
873#2329—831no—
874#2325—831no—
875#2325—831no—
876#2324—831no—
877#2322—831no—
878#2321—831no—
879#2318—831no—
880#2318D8311yescharacteristic, complemented
881#2315—831no—
882#2311—831no—
883C4×#120—831no—
884C2×#386—831no—
885C2×#385—831no—
886C83#3445611yescharacteristic, complemented, Sylow
887C22×#41—831no—
888C23×D4—831no—
889C24×C4—831no—
890#546—8316no—
891C2×#124—831no—
892C2×#123—831no—
893C2×#123—831no—
894C2×C22⋊Q8—831no—
895C2×#121—831no—
896C2×#121—831no—
897C2×#121—831no—
898C2×#120—831no—
899C2×#120—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×C4×D4—831no—
907C2×C4×D4—831no—
908C2×C4×D4—831no—
909C2×C4×D4C2×D8311yescharacteristic
910C2×#117—831no—
911C2×#117—831no—
912C22×C4⋊C4—831no—
913C22×C4⋊C4—831no—
914C22×C22⋊C4—831no—
915C22×C22⋊C4—831no—
916C22×C22⋊C4—831no—
917C22×C22⋊C4—831no—
918C22×C22⋊C4—831no—
919C22×C22⋊C4—831no—
920C22×C22⋊C4—831no—
921#391—831no—
922#391—831no—
923#391—831no—
924#391—831no—
925#390—831no—
926#390—831no—
927#390—831no—
928#390—831no—
929#390—831no—
930#390—831no—
931#389—831no—
932#389—831no—
933#389—831no—
934#389—831no—
935#388—831no—
936#388—831no—
937#388—831no—
938#388—831no—
939#388—831no—
940#388—831no—
941#388—831no—
942#388—831no—
943#388—831no—
944#388—831no—
945#388—831no—
946#388—831no—
947#388—831no—
948#388—831no—
949#388—831no—
950#388—831no—
951#388C2×D8311yescharacteristic, complemented
952#388C2×D8311yescharacteristic, complemented
953#387—831no—
954#387—831no—
955#387—831no—
956#387—831no—
957#387—831no—
958#387—831no—
959#387—831no—
960#387—831no—
961#387C2×D8311yescharacteristic, complemented
962#387C2×D8311yescharacteristic, complemented
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#386—831no—
977#386—831no—
978#386—831no—
979#386—831no—
980#386—831no—
981#386—831no—
982#386—831no—
983#386C2×D8311yescharacteristic
984#386C2×D8311yescharacteristic
985#385—831no—
986#385—831no—
987#385—831no—
988#385—831no—
989#385—831no—
990#385—831no—
991#385—831no—
992#385—831no—
993#385—831no—
994#385—831no—
995#385—831no—
996#385—831no—
997#385—831no—
998#385—831no—
999#385—831no—
1000#385—831no—
1001#385—831no—
1002#385—831no—
1003#385—831no—
1004#385—831no—
1005#385C2×D8311yescharacteristic
1006#385C2×D8311yescharacteristic
1007#383C2×D8311yescharacteristic, complemented
1008#382—831no—
1009#382C2×D8311yescharacteristic, complemented
1010#381—831no—
1011#381—831no—
1012#381C2×D8311yescharacteristic, complemented
1013#380—831no—
1014#380—831no—
1015#380—831no—
1016#380—831no—
1017#380—831no—
1018#380—831no—
1019#380—831no—
1020#380—831no—
1021#380C2×D8311yescharacteristic, complemented
1022#379—831no—
1023#379—831no—
1024C4×C4⋊C4—831no—
1025C4×C4⋊C4—831no—
1026C4×C4⋊C4—831no—
1027C4×C22⋊C4—831no—
1028C4×C22⋊C4—831no—
1029C4×C22⋊C4—831no—
1030C4×C22⋊C4—831no—
1031C4×C22⋊C4—831no—
1032C4×C22⋊C4—831no—
1033C4×C22⋊C4—831no—
1034C4×C22⋊C4—831no—
1035C4×C22⋊C4—831no—
1036C4×C22⋊C4—831no—
1037C4×C22⋊C4C2×D8311yescharacteristic
1038C2×#95—831no—
1039C2×#95—831no—
1040C2×#95—831no—
1041C2×#95—831no—
1042C2×#95C2×D8311yescharacteristic
1043C25—831no—
1044C25—831no—
1045C2×#41—3322no—
1046C2×#41—3322no—
1047C2×#41—838no—
1048C22×Q8—831no—
1049C22×D4—3322no—
1050C22×D4—3322no—
1051C22×D4—831no—
1052C22×D4—831no—
1053C22×D4—831no—
1054C22×D4—831no—
1055C22×D4—838no—
1056C22×D4—831no—
1057C22×D4—831no—
1058C22×D4—831no—
1059C22×D4—831no—
1060C22×D4C22×D8311yescharacteristic
1061C23×C4—3322no—
1062C23×C4—3322no—
1063C23×C4—3322no—
1064C23×C4—831no—
1065C23×C4—831no—
1066C23×C4—831no—
1067C23×C4—831no—
1068C23×C4—831no—
1069C23×C4—831no—
1070C23×C4—831no—
1071C23×C4—831no—
1072C23×C4—831no—
1073C23×C4—831no—
1074C23×C4—831no—
1075C23×C4—831no—
1076C23×C4—831no—
1077C23×C4—831no—
1078C23×C4—831no—
1079C23×C4—831no—
1080C23×C4C22×D8311yescharacteristic
1081C23×C4C22×D8311yescharacteristic
1082C23×C4C22×D8311yescharacteristic
1083C23×C4C22×D8311yescharacteristic
1084#124—838no—
1085#123—838no—
1086#123—838no—
1087C22⋊Q8—838no—
1088#121—838no—
1089#121—838no—
1090#121—838no—
1091#120—838no—
1092#120—838no—
1093C4×D4—3322no—
1094C4×D4—3322no—
1095C4×D4—3322no—
1096C4×D4—3322no—
1097C4×D4—3322no—
1098C4×D4—3322no—
1099C4×D4—3322no—
1100C4×D4—3322no—
1101C4×D4—838no—
1102C4×D4C4×D8318yescomplemented
1103#117—3322no—
1104#117—3322no—
1105C2×C4⋊C4—3322no—
1106C2×C4⋊C4—3322no—
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⋊C4—831no—
1117C2×C4⋊C4—831no—
1118C2×C4⋊C4—831no—
1119C2×C4⋊C4—831no—
1120C2×C4⋊C4—831no—
1121C2×C4⋊C4—831no—
1122C2×C4⋊C4—831no—
1123C2×C4⋊C4—831no—
1124C2×C4⋊C4—831no—
1125C2×C4⋊C4—831no—
1126C2×C4⋊C4C22×D8311yescharacteristic
1127C2×C4⋊C4C22×D8311yescharacteristic
1128C2×C4⋊C4C22×D8311yescharacteristic
1129C2×C4⋊C4C22×D8311yescharacteristic
1130C2×C4⋊C4C22×D8311yescharacteristic
1131C2×C22⋊C4—3322no—
1132C2×C22⋊C4—3322no—
1133C2×C22⋊C4—3322no—
1134C2×C22⋊C4—3322no—
1135C2×C22⋊C4—3322no—
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⋊C4—831no—
1150C2×C22⋊C4—831no—
1151C2×C22⋊C4—831no—
1152C2×C22⋊C4—831no—
1153C2×C22⋊C4—831no—
1154C2×C22⋊C4—831no—
1155C2×C22⋊C4—831no—
1156C2×C22⋊C4—831no—
1157C2×C22⋊C4—831no—
1158C2×C22⋊C4—831no—
1159C2×C22⋊C4—831no—
1160C2×C22⋊C4—831no—
1161C2×C22⋊C4—831no—
1162C2×C22⋊C4—831no—
1163C2×C22⋊C4—831no—
1164C2×C22⋊C4—831no—
1165C2×C22⋊C4—831no—
1166C2×C22⋊C4—838no—
1167C2×C22⋊C4—838no—
1168C2×C22⋊C4—831no—
1169C2×C22⋊C4—831no—
1170C2×C22⋊C4—831no—
1171C2×C22⋊C4—831no—
1172C2×C22⋊C4—831no—
1173C2×C22⋊C4—831no—
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—831no—
1176C2×C22⋊C4C22×D8311yescharacteristic
1177C2×C22⋊C4C22×D8311yescharacteristic
1178C2×C22⋊C4C22×D8311yescharacteristic
1179C2×C22⋊C4C22×D8311yescharacteristic
1180C2×C22⋊C4C22×D8311yescharacteristic
1181C2×C22⋊C4C22×D8311yescharacteristic
1182C2×C22⋊C4C22×D8311yescharacteristic
1183C2×C22⋊C4C22×D8311yescharacteristic
1184C2×C42—831no—
1185C2×C42—831no—
1186C2×C42—831no—
1187C2×C42—831no—
1188C2×C42—831no—
1189C2×C42—831no—
1190C2×C42—831no—
1191C2×C42—831no—
1192C2×C42—831no—
1193C2×C42—831no—
1194C2×C42C22×D8311yescharacteristic
1195C2×C42C22×D8311yescharacteristic
1196C2×C42C22×D8311yescharacteristic
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#95—831no—
1215#95—831no—
1216#95—831no—
1217#95—831no—
1218#95—831no—
1219#95—831no—
1220#95—831no—
1221#95—831no—
1222#95—831no—
1223#95C22×D8311yescharacteristic
1224#95C22×D8311yescharacteristic
1225#95C22×D8311yescharacteristic
1226#95C22×D8311yescharacteristic
1227#95C22×D8311yescharacteristic
1228#95C22×D8311yescharacteristic
1229#95C22×D8311yescharacteristic
1230#95C22×D8311yescharacteristic
1231#95C22×D8311yescharacteristic
1232#95C22×D8311yescharacteristic
1233#95C22×D8311yescharacteristic
1234#95C22×D8311yescharacteristic
1235#95C22×D8311yescharacteristic
1236#95C22×D8311yescharacteristic
1237C24—3321no—
1238C24—3321no—
1239C24—3321no—
1240C24—3321no—
1241C24—3321no—
1242C24—3321no—
1243C24—834no—
1244C24—834no—
1245C24—831no—
1246C24—831no—
1247C24—831no—
1248C24—831no—
1249C24—1662no—
1250C24—1662no—
1251C24—1662no—
1252C24—1662no—
1253C24—1662no—
1254C24—1662no—
1255C24C23×D8311yescharacteristic
1256C24C23×D8311yescharacteristic
1257#41—33216no—
1258C2×Q8—3321no—
1259C2×Q8—3321no—
1260C2×Q8—834no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—3321no—
1264C2×D4—3321no—
1265C2×D4—3321no—
1266C2×D4—3321no—
1267C2×D4—33216no—
1268C2×D4—3321no—
1269C2×D4—3321no—
1270C2×D4—3321no—
1271C2×D4—3321no—
1272C2×D4—3321no—
1273C2×D4—3321no—
1274C2×D4—834no—
1275C2×D4—834no—
1276C2×D4—834no—
1277C2×D4—834no—
1278C2×D4—834no—
1279C2×D4—834no—
1280C2×D4—834no—
1281C2×D4—834no—
1282C2×D4—1662no—
1283C2×D4—1662no—
1284C2×D4—1662no—
1285C2×D4—1662no—
1286C2×D4—1662no—
1287C2×D4—1662no—
1288C2×D4C2×C4×D8314yes—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
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—3321no—
1313C22×C4—3321no—
1314C22×C4—3321no—
1315C22×C4—3321no—
1316C22×C4—3321no—
1317C22×C4—3321no—
1318C22×C4—3321no—
1319C22×C4—3321no—
1320C22×C4—3321no—
1321C22×C4—3321no—
1322C22×C4—3321no—
1323C22×C4—33216no—
1324C22×C4—3321no—
1325C22×C4—3321no—
1326C22×C4—3321no—
1327C22×C4—3321no—
1328C22×C4—3321no—
1329C22×C4—3321no—
1330C22×C4—3321no—
1331C22×C4—3321no—
1332C22×C4—834no—
1333C22×C4—834no—
1334C22×C4—834no—
1335C22×C4—831no—
1336C22×C4—831no—
1337C22×C4—831no—
1338C22×C4—831no—
1339C22×C4—831no—
1340C22×C4—834no—
1341C22×C4—831no—
1342C22×C4—831no—
1343C22×C4—831no—
1344C22×C4—831no—
1345C22×C4—831no—
1346C22×C4—831no—
1347C22×C4—831no—
1348C22×C4—1662no—
1349C22×C4—1662no—
1350C22×C4—1662no—
1351C22×C4—1662no—
1352C22×C4—1662no—
1353C22×C4—1662no—
1354C22×C4—1662no—
1355C22×C4—1662no—
1356C22×C4—1662no—
1357C22×C4—1662no—
1358C22×C4—1662no—
1359C22×C4—1662no—
1360C22×C4C2×C4×D8314yes—
1361C22×C4C2×C4×D8314yescomplemented
1362C22×C4C23×D8311yescharacteristic
1363C22×C4C23×D8311yescharacteristic
1364C22×C4C23×D8311yescharacteristic
1365C22×C4C23×D8311yescharacteristic
1366C22×C4C23×D8311yescharacteristic
1367C22×C4C23×D8311yescharacteristic
1368C22×C4C23×D8311yescharacteristic
1369C22×C4C23×D8311yescharacteristic
1370C22×C4C23×D8311yescharacteristic
1371C22×C4C23×D8311yescharacteristic
1372C22×C4C23×D8311yescharacteristic
1373C22×C4C23×D8311yescharacteristic
1374C22×C4C23×D8311yescharacteristic
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—41no—
1379C4⋊C4—3321no—
1380C4⋊C4—3321no—
1381C4⋊C4—3321no—
1382C4⋊C4—3321no—
1383C4⋊C4—3321no—
1384C4⋊C4—3321no—
1385C4⋊C4—3321no—
1386C4⋊C4—3321no—
1387C4⋊C4—3321no—
1388C4⋊C4—3321no—
1389C4⋊C4—3321no—
1390C4⋊C4—3321no—
1391C4⋊C4—3321no—
1392C4⋊C4—3321no—
1393C4⋊C4—834no—
1394C4⋊C4—834no—
1395C4⋊C4—834no—
1396C4⋊C4—1662no—
1397C4⋊C4—1662no—
1398C4⋊C4C2×C4×D8314yescomplemented
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—3321no—
1406C22⋊C4—3321no—
1407C22⋊C4—3321no—
1408C22⋊C4—3321no—
1409C22⋊C4—3321no—
1410C22⋊C4—3321no—
1411C22⋊C4—3321no—
1412C22⋊C4—3321no—
1413C22⋊C4—3321no—
1414C22⋊C4—3321no—
1415C22⋊C4—3321no—
1416C22⋊C4—3321no—
1417C22⋊C4—3321no—
1418C22⋊C4—3321no—
1419C22⋊C4—3321no—
1420C22⋊C4—3321no—
1421C22⋊C4—3321no—
1422C22⋊C4—3321no—
1423C22⋊C4—3321no—
1424C22⋊C4—3321no—
1425C22⋊C4—834no—
1426C22⋊C4—834no—
1427C22⋊C4—834no—
1428C22⋊C4—834no—
1429C22⋊C4—834no—
1430C22⋊C4—834no—
1431C22⋊C4—834no—
1432C22⋊C4—834no—
1433C22⋊C4—834no—
1434C22⋊C4—834no—
1435C22⋊C4—1662no—
1436C22⋊C4—1662no—
1437C22⋊C4—1662no—
1438C22⋊C4—1662no—
1439C22⋊C4—1662no—
1440C22⋊C4—1662no—
1441C22⋊C4—1662no—
1442C22⋊C4—1662no—
1443C22⋊C4C2×C4×D8314yes—
1444C22⋊C4C2×C4×D8314yescomplemented
1445C42—41no—
1446C42—41no—
1447C42—3321no—
1448C42—3321no—
1449C42—3321no—
1450C42—3321no—
1451C42—3321no—
1452C42—3321no—
1453C42—3321no—
1454C42—3321no—
1455C42—3321no—
1456C42—1662no—
1457C42C2×C4×D8314yescomplemented
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—3324no—
1469C23—3324no—
1470C23—3324no—
1471C23—3324no—
1472C23—3324no—
1473C23—3324no—
1474C23—3324no—
1475C23—832no—
1476C23—832no—
1477C23—832no—
1478C23—832no—
1479C23—832no—
1480C23—832no—
1481C23—6642no—
1482C23—6642no—
1483C23—6642no—
1484C23—6642no—
1485C23—1668no—
1486C23—1668no—
1487C23—1661no—
1488C23—1661no—
1489C23—1661no—
1490C23—1661no—
1491C23—1661no—
1492C23—1661no—
1493C23—1661no—
1494C23—1661no—
1495C23—1661no—
1496C23—1661no—
1497C23—1661no—
1498C23—1661no—
1499C23—1661no—
1500C23—1661no—
1501C23—1661no—
1502C23—1661no—
1503C23—1661no—
1504C23—1661no—
1505C23—1668no—
1506C23—1661no—
1507C23—1661no—
1508C23—1661no—
1509C23—1661no—
1510C23C22×C4×D8312yes—
1511C23C22×C4×D8312yes—
1512C23#1458183812yes—
1513C23#1458183912yes—
1514C23C24×D8311yescharacteristic
1515Q8—3324no—
1516D4—28no—
1517D4—3324no—
1518D4—3324no—
1519D4—3324no—
1520D4—3324no—
1521D4—3324no—
1522D4—1668no—
1523D4—1668no—
1524D4—1668no—
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—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—82no—
1563C2×C4—3324no—
1564C2×C4—3324no—
1565C2×C4—3324no—
1566C2×C4—3324no—
1567C2×C4—3324no—
1568C2×C4—3324no—
1569C2×C4—3324no—
1570C2×C4—3324no—
1571C2×C4—832no—
1572C2×C4—832no—
1573C2×C4—832no—
1574C2×C4—832no—
1575C2×C4—832no—
1576C2×C4—6642no—
1577C2×C4—6642no—
1578C2×C4—6642no—
1579C2×C4—6642no—
1580C2×C4—6642no—
1581C2×C4—6642no—
1582C2×C4—6642no—
1583C2×C4—1668no—
1584C2×C4—1661no—
1585C2×C4—1661no—
1586C2×C4—1661no—
1587C2×C4—1661no—
1588C2×C4—1661no—
1589C2×C4—1661no—
1590C2×C4—1661no—
1591C2×C4—1661no—
1592C2×C4—1661no—
1593C2×C4—1661no—
1594C2×C4—1661no—
1595C2×C4—1661no—
1596C2×C4—1661no—
1597C2×C4—1661no—
1598C2×C4—1661no—
1599C2×C4—1661no—
1600C2×C4—1661no—
1601C2×C4—1661no—
1602C2×C4—1661no—
1603C2×C4—1661no—
1604C2×C4—1661no—
1605C2×C4—1661no—
1606C2×C4—1661no—
1607C2×C4—1661no—
1608C2×C4—1661no—
1609C2×C4—1661no—
1610C2×C4—1661no—
1611C2×C4—1661no—
1612C2×C4—1661no—
1613C2×C4—1661no—
1614C2×C4—1661no—
1615C2×C4C22×C4×D8312yes—
1616C2×C4C22×C4×D8312yes—
1617C2×C4C22×C4×D8312yes—
1618C2×C4C22×C4×D8312yes—
1619C2×C4C22×C4×D8312yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—33216no—
1634C22—3321no—
1635C22—3321no—
1636C22—3321no—
1637C22—3321no—
1638C22—3321no—
1639C22—3321no—
1640C22—3321no—
1641C22—3321no—
1642C22—3321no—
1643C22—3321no—
1644C22—3321no—
1645C22—3321no—
1646C22—834no—
1647C22—6648no—
1648C22—1662no—
1649C22—1662no—
1650C22—1662no—
1651C22—1662no—
1652C22—1662no—
1653C22—1662no—
1654C22—1662no—
1655C22—1662no—
1656C22—1662no—
1657C22—1662no—
1658C22—1662no—
1659C22—1662no—
1660C22—1662no—
1661C22—1662no—
1662C22—1662no—
1663C22#1912818114yes—
1664C22C23×C4×D8311yescharacteristic
1665C22H(5,𝔽2)×D8311yescharacteristic
1666C22H(5,𝔽2)×D8311yescharacteristic
1667C22H(5,𝔽2)×D8311yescharacteristic
1668C22C2×#1458183811yescharacteristic
1669C22C2×#1458183911yescharacteristic
1670C22#1912853811yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—3321no—
1685C4—3321no—
1686C4—3321no—
1687C4—3321no—
1688C4—3321no—
1689C4—3321no—
1690C4—3321no—
1691C4—1662no—
1692C4—1662no—
1693C4—1662no—
1694C4—1662no—
1695C4—1662no—
1696C2—24no—
1697C2—42no—
1698C2—3322no—
1699C2—3322no—
1700C2—3322no—
1701C2—1664no—
1702C2#518×D8311yescharacteristic
1703C2C2×#1912818111yescharacteristic
1704C2#2492066911yescharacteristic
1705C2#2492161411yescharacteristic
1706C2#2492165111yescharacteristic
1707C2#2492166911yescharacteristic
1708C2#2492168411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2318C2
socle, cosocleC23×C83C25
prime radicalC2×#19128347C2
hypercenter#2318D83
hypocenterC83#34456
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
2. #24910634C2semidirect
3. #24910622C2semidirect
4. #24910616C2semidirect
5. #24910610C2semidirect
6. #24910546C2semidirect
7. #24910476C2semidirect
8. #24910462C2semidirect
9. #24910443C2semidirect
10. #24910443C2semidirect
11. #24910389C2semidirect
12. #24910373C2semidirect
13. #24910310C2semidirect
14. #24910310C2semidirect
15. #24910287C2semidirect
16. C22⋊C4×D332C2semidirect
17. #24910273C2semidirect
18. #24910252C2semidirect
19. #24910196C2semidirect
20. #24910167C2semidirect
21. #24910163C2semidirect
22. #24910151C2semidirect
23. #24910136C2semidirect
24. #24910126C2semidirect
25. #24910094C2semidirect
26. #24910074C2semidirect
27. #24910052C2semidirect
28. #24909968C2semidirect
29. C2×#19127579C2semidirect
30. #385×D83C2semidirect
31. C83×#2318C2semidirect
35. #19128347C4semidirect
50. C2×(C22⋊D83)⋊C4C22semidirect
51. C2×(C22⋊D83)⋊C4C22semidirect
52. C2×(C22⋊D83)⋊C4C22semidirect
53. C2×(C22⋊D83)⋊C4C22semidirect
54. C2×#14581750C22semidirect
55. C2×#14581750C22semidirect
56. C2×C4⋊C4×D83C22semidirect
57. C2×C4⋊C4×D83C22semidirect
65. #19127605C22semidirect
66. #19127605C22semidirect
67. #19127605C22semidirect
68. #19127605C22semidirect
71. #19127601C22semidirect
72. #19127601C22semidirect
73. #19127601C22semidirect
74. #19127601C22semidirect
75. #19127600C22semidirect
76. #19127600C22semidirect
77. #19127598C22semidirect
78. #19127598C22semidirect
79. #19127593C22semidirect
80. #19127593C22semidirect
81. #19127593C22semidirect
82. #19127593C22semidirect
83. #19127593C22semidirect
84. #19127593C22semidirect
85. #19127593C22semidirect
86. #19127593C22semidirect
87. #19127591C22semidirect
88. #19127591C22semidirect
89. #19127591C22semidirect
90. #19127591C22semidirect
91. #19127590C22semidirect
92. #19127590C22semidirect
93. #19127590C22semidirect
94. #19127590C22semidirect
95. #19127588C22semidirect
96. #19127588C22semidirect
97. #19127585C22semidirect
98. #19127585C22semidirect
99. #19127584C22semidirect
100. #19127584C22semidirect
101. #19127584C22semidirect
102. #19127584C22semidirect
115. #19127578C22semidirect
116. #19127578C22semidirect
117. #19127578C22semidirect
118. #19127578C22semidirect
119. #19127577C22semidirect
120. #19127577C22semidirect
121. #19127577C22semidirect
122. #19127577C22semidirect
125. #19127576C22semidirect
126. #19127576C22semidirect
127. #19127575C22semidirect
128. #19127575C22semidirect
129. #19127575C22semidirect
130. #19127575C22semidirect
131. #19127575C22semidirect
132. #19127575C22semidirect
133. #19127575C22semidirect
134. #19127575C22semidirect
139. #19127572C22semidirect
140. #19127572C22semidirect
141. #19127572C22semidirect
142. #19127572C22semidirect
143. #19127567C22semidirect
144. #19127563C22semidirect
145. #19127563C22semidirect
147. #19127561C22semidirect
148. #19127560C22semidirect
149. #19127560C22semidirect
150. #19127558C22semidirect
151. #19127558C22semidirect
152. #19127558C22semidirect
153. #19127558C22semidirect
156. C4×Dic83⋊C4C22semidirect
157. C4×Dic83⋊C4C22semidirect
158. C4×C4⋊Dic83C22semidirect
163. #19127548C22semidirect
164. #19127548C22semidirect
165. #19127548C22semidirect
166. #19127548C22semidirect
167. #19127548C22semidirect
168. #19127548C22semidirect
170. C2×C83⋊#95C22semidirect
171. #95×D83C22semidirect
172. #95×D83C22semidirect
174. #388×C83C22semidirect
175. #388×C83C22semidirect
176. #387×C83C22semidirect
177. #387×C83C22semidirect
182. #383×C83C22semidirect
183. #382×C83C22semidirect
184. #381×C83C22semidirect
185. #380×C83C22semidirect
192. C2×#13050590C2×C4semidirect
196. C22×D332C2×C4semidirect
224. #14581780C2×C4semidirect
225. #14581777C2×C4semidirect
226. #14581777C2×C4semidirect
227. #14581771C2×C4semidirect
228. #14581766C2×C4semidirect
229. #14581765C2×C4semidirect
230. #14581765C2×C4semidirect
231. #14581760C2×C4semidirect
232. #14581760C2×C4semidirect
235. C4×D332C2×C4semidirect
308. C22⋊C4×D83C2×C4semidirect
309. C22⋊C4×D83C2×C4semidirect
351. C4×D4×C83C2×C4semidirect
403. C2×Dic166C22×C4semidirect
427. C2×C22⋊D83C22×C4semidirect
428. C2×C22⋊D83C22×C4semidirect
488. C2×C4×D83C22×C4semidirect
489. C2×C4×D83C22×C4semidirect
498. C4⋊Dic83C22×C4semidirect
507. Dic83⋊C4C22×C4semidirect
508. Dic83⋊C4C22×C4semidirect
543. (C2×D83)⋊C4C22×C4semidirect
544. (C2×D83)⋊C4C22×C4semidirect
545. (C2×D83)⋊C4C22×C4semidirect
546. (C2×D83)⋊C4C22×C4semidirect
573. C22×C4×C83C22×C4semidirect
591. C4⋊C4×C83C22×C4semidirect
599. C22⋊C4×C83C22×C4semidirect
602. C42×C83C22×C4semidirect
880. #2318D83semidirect
886. C83#34456semidirect
951. #388C2×D83semidirect
952. #388C2×D83semidirect
961. #387C2×D83semidirect
962. #387C2×D83semidirect
1007. #383C2×D83semidirect
1009. #382C2×D83semidirect
1012. #381C2×D83semidirect
1021. #380C2×D83semidirect
1102. C4×D4C4×D83semidirect
1361. C22×C4C2×C4×D83semidirect
1398. C4⋊C4C2×C4×D83semidirect
1444. C22⋊C4C2×C4×D83semidirect
1457. C42C2×C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283472
#249106342
#249106222
#249106162
#249106102
#249105462
#249104762
#249104622
#249104432
#249103892
#249103732
#249103102
#249102872
C22⋊C4×D3322
#249102732
#249102522
#249101962
#249101672
#249101632
#249101512
#249101362
#249101262
#249100942
#249100742
#249100522
#249099682
C2×#191275792
#385×D832
C83×#23182
#3445683