Finite Group Databasebeta

← #35568952

Subgroups — #35568952

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×#19128342C211yesmaximal, characteristic
2#24910635C211yesmaximal, characteristic, complemented
3#24910618C211yesmaximal, characteristic, complemented
4#24910618C211yesmaximal, characteristic, complemented
5#24910610C211yesmaximal, characteristic, complemented
6#24910481C211yesmaximal, characteristic, complemented
7#24910460C211yesmaximal, characteristic, complemented
8#24910439C211yesmaximal, characteristic, complemented
9#24910439C211yesmaximal, characteristic, complemented
10#24910387C211yesmaximal, characteristic, complemented
11#24910370C211yesmaximal, characteristic, complemented
12#24910306C211yesmaximal, characteristic, complemented
13#24910306C211yesmaximal, characteristic, complemented
14#24910292C211yesmaximal, characteristic, complemented
15C22⋊C4×D332C211yesmaximal, characteristic, complemented
16#24910275C211yesmaximal, characteristic, complemented
17#24910247C211yesmaximal, characteristic, complemented
18#24910198C211yesmaximal, characteristic, complemented
19#24910162C211yesmaximal, characteristic, complemented
20#24910162C211yesmaximal, characteristic, complemented
21#24910157C211yesmaximal, characteristic, complemented
22#24910136C211yesmaximal, characteristic, complemented
23#24910123C211yesmaximal, characteristic, complemented
24#24910095C211yesmaximal, characteristic, complemented
25#24910090C211yesmaximal, characteristic, complemented
26#24910074C211yesmaximal, characteristic, complemented
27#24910054C211yesmaximal, characteristic, complemented
28C4×#14581762C211yesmaximal, characteristic, complemented
29C2×#19127579C211yesmaximal, characteristic, complemented
30#385×D83C211yesmaximal, characteristic, complemented
31C83×#2368C211yesmaximal, characteristic, complemented
32C22×#13050591C2211yescharacteristic
33C23×D332C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic
35#19128342C4116yescomplemented
36C2×#14581781C2211yescharacteristic
37C2×#14581777C2211yescharacteristic
38C2×#14581777C2211yescharacteristic
39C2×#14581767C2211yescharacteristic
40C2×#14581767C2211yescharacteristic
41C2×#14581767C2211yescharacteristic
42C2×#14581762C2211yescharacteristic
43C2×#14581762C2211yescharacteristic
44C2×C4×D332C2211yescharacteristic
45C2×C4×D332C2211yescharacteristic
46C2×C4×D332C2211yescharacteristic, complemented
47C2×C4×D332C2211yescharacteristic, complemented
48C2×#14581754C2211yescharacteristic
49C2×#14581754C2211yescharacteristic, complemented
50C2×#14581754C2211yescharacteristic, complemented
51C2×C4×C22⋊D83C2211yescharacteristic
52C2×C4×C22⋊D83C2211yescharacteristic
53C2×C4×C22⋊D83C2211yescharacteristic
54C2×#14581749C2211yescharacteristic, complemented
55C2×#14581749C2211yescharacteristic, 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#19127608C2211yescharacteristic, complemented
66#19127608C2211yescharacteristic, complemented
67#19127603C2211yescharacteristic
68#19127603C2211yescharacteristic
69#19127603C2211yescharacteristic, complemented
70#19127603C2211yescharacteristic, complemented
71#19127602C2211yescharacteristic, complemented
72#19127602C2211yescharacteristic, complemented
73#19127600C2211yescharacteristic, complemented
74#19127600C2211yescharacteristic, complemented
75#19127598C2211yescharacteristic, complemented
76#19127598C2211yescharacteristic, complemented
77#19127593C2211yescharacteristic, complemented
78#19127593C2211yescharacteristic, complemented
79#19127592C2211yescharacteristic, complemented
80#19127592C2211yescharacteristic, complemented
81#19127592C2211yescharacteristic, complemented
82#19127592C2211yescharacteristic, complemented
83#19127592C2211yescharacteristic, complemented
84#19127592C2211yescharacteristic, complemented
85#19127592C2211yescharacteristic, complemented
86#19127592C2211yescharacteristic, complemented
87#19127591C2211yescharacteristic, complemented
88#19127591C2211yescharacteristic, complemented
89#19127590C2211yescharacteristic, complemented
90#19127590C2211yescharacteristic, complemented
91#19127590C2211yescharacteristic, complemented
92#19127590C2211yescharacteristic, complemented
93#19127590C2211yescharacteristic, complemented
94#19127590C2211yescharacteristic, complemented
95#19127587C2211yescharacteristic, complemented
96#19127587C2211yescharacteristic, complemented
97#19127587C2211yescharacteristic, complemented
98#19127587C2211yescharacteristic, complemented
99#19127585C2211yescharacteristic, complemented
100#19127585C2211yescharacteristic, complemented
101#19127579C2211yescharacteristic
102#19127579C2211yescharacteristic
103#19127579C2211yescharacteristic
104#19127579C2211yescharacteristic
105#19127579C2211yescharacteristic
106#19127579C2211yescharacteristic
107#19127579C2211yescharacteristic
108#19127579C2211yescharacteristic
109#19127579C2211yescharacteristic
110#19127579C2211yescharacteristic
111#19127579C2211yescharacteristic
112#19127579C2211yescharacteristic
113#19127579C2211yescharacteristic, complemented
114#19127579C2211yescharacteristic, complemented
115#19127579C2211yescharacteristic, complemented
116#19127579C2211yescharacteristic, complemented
117#19127579C2211yescharacteristic, complemented
118#19127579C2211yescharacteristic, complemented
119#19127579C2211yescharacteristic, complemented
120#19127579C2211yescharacteristic, complemented
121#19127578C2211yescharacteristic
122#19127578C2211yescharacteristic
123#19127576C2211yescharacteristic
124#19127576C2211yescharacteristic
125#19127575C2211yescharacteristic, complemented
126#19127575C2211yescharacteristic, complemented
127#19127575C2211yescharacteristic, complemented
128#19127575C2211yescharacteristic, complemented
129#19127575C2211yescharacteristic, complemented
130#19127575C2211yescharacteristic, complemented
131#19127575C2211yescharacteristic, complemented
132#19127575C2211yescharacteristic, complemented
133#19127574C2211yescharacteristic
134#19127574C2211yescharacteristic
135#19127573C2211yescharacteristic
136#19127573C2211yescharacteristic
137#19127572C2211yescharacteristic, complemented
138#19127572C2211yescharacteristic, complemented
139#19127572C2211yescharacteristic, complemented
140#19127572C2211yescharacteristic, complemented
141#19127572C2211yescharacteristic, complemented
142#19127572C2211yescharacteristic, complemented
143#19127568C2211yescharacteristic, complemented
144#19127565C2211yescharacteristic, complemented
145#19127565C2211yescharacteristic, complemented
146#19127563C2211yescharacteristic, complemented
147#19127563C2211yescharacteristic, complemented
148#19127563C2211yescharacteristic, complemented
149#19127561C2211yescharacteristic
150#19127560C2211yescharacteristic, complemented
151#19127560C2211yescharacteristic, complemented
152#19127560C2211yescharacteristic, complemented
153#19127560C2211yescharacteristic, complemented
154#19127560C2211yescharacteristic, complemented
155#19127560C2211yescharacteristic, complemented
156#19127558C2211yescharacteristic, complemented
157#19127558C2211yescharacteristic, complemented
158#19127556C2211yescharacteristic
159#19127556C2211yescharacteristic
160#19127552C2211yescharacteristic, complemented
161C22⋊C4×Dic83C2211yescharacteristic
162C22⋊C4×Dic83C2211yescharacteristic
163C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
167#19127548C2211yescharacteristic, complemented
168#19127548C2211yescharacteristic, complemented
169C2×C83⋊#95C2211yescharacteristic
170#95×D83C2211yescharacteristic, complemented
171#95×D83C2211yescharacteristic, complemented
172#95×D83C2211yescharacteristic, complemented
173C2×C22⋊Q8×C83C2211yescharacteristic
174#391×C83C2211yescharacteristic, complemented
175#391×C83C2211yescharacteristic, complemented
176#387×C83C2211yescharacteristic, complemented
177#387×C83C2211yescharacteristic, complemented
178#387×C83C2211yescharacteristic, complemented
179#387×C83C2211yescharacteristic, complemented
180#385×C83C2211yescharacteristic
181#385×C83C2211yescharacteristic
182C4×C4⋊C4×C83C2211yescharacteristic, complemented
183C4×C4⋊C4×C83C2211yescharacteristic, complemented
184C4×C22⋊C4×C83C2211yescharacteristic
185C4×C22⋊C4×C83C2211yescharacteristic
186C4×C22⋊C4×C83C2211yescharacteristic
187C2×#95×C83C2211yescharacteristic
188C24×D83C2311yescharacteristic
189C24×D83C2311yescharacteristic
190C2×#13050591—42no—
191C2×#13050591—42no—
192C2×#13050591C2×C418yescomplemented
193C22×D332—42no—
194C22×D332—42no—
195C22×D332C2×C418yescomplemented
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×D332C2311yescharacteristic
200C22×D332C2311yescharacteristic
201C22×D332C2311yescharacteristic
202C22×D332C2311yescharacteristic
203C22×D332C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C22×C4×D83—42no—
208C22×C4×D83—42no—
209C22×C4×D83—42no—
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224C22×C4×D83C2311yescharacteristic
225#14581781C2×C418yescomplemented
226#14581777C2×C418yescomplemented
227#14581777C2×C418yescomplemented
228#14581767C2×C418yescomplemented
229#14581767C2×C418yescomplemented
230#14581767C2×C418yescomplemented
231#14581762C2×C418yescomplemented
232#14581762C2×C418yescomplemented
233C4×D332—42no—
234C4×D332—42no—
235C4×D332—42no—
236C4×D332—42no—
237#14581754—42no—
238#14581754—42no—
239#14581754C2×C418yescomplemented
240C4×C22⋊D83—42no—
241C4×C22⋊D83—42no—
242C4×C22⋊D83C2×C418yescomplemented
243#14581749—42no—
244#14581749—42no—
245C2×C4⋊Dic83C2311yescharacteristic
246C2×C4⋊Dic83C2311yescharacteristic
247C2×C4⋊Dic83C2311yescharacteristic
248C2×C4⋊Dic83C2311yescharacteristic
249C2×C4⋊Dic83C2311yescharacteristic
250C2×C4⋊Dic83C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
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
262C4⋊C4×D83—42no—
263C4⋊C4×D83—42no—
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×(C2×D83)⋊C4—42no—
268C2×(C2×D83)⋊C4—42no—
269C2×(C2×D83)⋊C4—42no—
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
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
306C2×(C2×D83)⋊C4C2311yescharacteristic
307C2×(C2×D83)⋊C4C2311yescharacteristic
308C2×(C2×D83)⋊C4C2311yescharacteristic
309C22⋊C4×D83—42no—
310C22⋊C4×D83—42no—
311C22⋊C4×D83C2×C418yescomplemented
312C22⋊C4×D83C2×C418yescomplemented
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×Q8×C83C2311yescharacteristic
347C23×C4×C83C2311yescharacteristic
348C23×C4×C83C2311yescharacteristic
349C23×C4×C83C2311yescharacteristic
350C22⋊Q8×C83C2×C418yescomplemented
351C2×C4⋊C4×C83C2311yescharacteristic
352C2×C4⋊C4×C83C2311yescharacteristic
353C2×C4⋊C4×C83C2311yescharacteristic
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C4⋊C4×C83C2311yescharacteristic
356C2×C4⋊C4×C83C2311yescharacteristic
357C2×C4⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C42×C83C2311yescharacteristic
363C2×C42×C83C2311yescharacteristic
364C2×C42×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
400C23×D83C2411yescharacteristic
401#13050591—416no—
402C2×D332—22no—
403C2×D332—22no—
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×D332—41no—
414C2×D332—41no—
415C2×D332—41no—
416C2×D332—41no—
417C2×D332—41no—
418C2×D332—41no—
419C2×D332C22×C414yes—
420C2×D332C22×C414yes—
421C2×D332C22×C414yes—
422C2×D332C22×C414yes—
423C2×D332C22×C414yes—
424C2×D332C22×C414yes—
425C2×D332C22×C414yescomplemented
426C2×D332C22×C414yescomplemented
427C2×C22⋊D83—22no—
428C2×C22⋊D83—22no—
429C2×C22⋊D83C22×C414yes—
430C22×Dic83—22no—
431C22×Dic83—22no—
432C22×Dic83—41no—
433C22×Dic83—41no—
434C22×Dic83—41no—
435C22×Dic83—41no—
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
440C22×Dic83C2411yescharacteristic
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C2×C4×D83—22no—
448C2×C4×D83—22no—
449C2×C4×D83—22no—
450C2×C4×D83—22no—
451C2×C4×D83—22no—
452C2×C4×D83—22no—
453C2×C4×D83—22no—
454C2×C4×D83—22no—
455C2×C4×D83—22no—
456C2×C4×D83—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83—41no—
460C2×C4×D83—41no—
461C2×C4×D83—41no—
462C2×C4×D83—41no—
463C2×C4×D83—41no—
464C2×C4×D83—41no—
465C2×C4×D83—41no—
466C2×C4×D83—41no—
467C2×C4×D83—41no—
468C2×C4×D83—41no—
469C2×C4×D83—41no—
470C2×C4×D83—41no—
471C2×C4×D83—41no—
472C2×C4×D83—416no—
473C2×C4×D83—41no—
474C2×C4×D83—41no—
475C2×C4×D83—41no—
476C2×C4×D83—41no—
477C2×C4×D83—41no—
478C2×C4×D83—41no—
479C2×C4×D83—41no—
480C2×C4×D83—41no—
481C2×C4×D83—41no—
482C2×C4×D83—41no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83—41no—
487C2×C4×D83—41no—
488C2×C4×D83C22×C414yes—
489C2×C4×D83C22×C414yes—
490C2×C4×D83C22×C414yescomplemented
491C2×C4×D83C22×C414yescomplemented
492C2×C4×D83C22×C414yescomplemented
493C4⋊Dic83—41no—
494C4⋊Dic83—41no—
495C4⋊Dic83—41no—
496C4⋊Dic83—41no—
497C4⋊Dic83—41no—
498C4⋊Dic83—41no—
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⋊C4—41no—
508Dic83⋊C4—41no—
509Dic83⋊C4C22×C414yescomplemented
510C22⋊Dic83—22no—
511C22⋊Dic83—22no—
512C22⋊Dic83C22×C414yes—
513(C2×D83)⋊C4—22no—
514(C2×D83)⋊C4—22no—
515(C2×D83)⋊C4—22no—
516(C2×D83)⋊C4—22no—
517(C2×D83)⋊C4—22no—
518(C2×D83)⋊C4—22no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4—41no—
521(C2×D83)⋊C4—41no—
522(C2×D83)⋊C4—41no—
523(C2×D83)⋊C4—41no—
524(C2×D83)⋊C4—41no—
525(C2×D83)⋊C4—41no—
526(C2×D83)⋊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)⋊C4—41no—
540(C2×D83)⋊C4—41no—
541(C2×D83)⋊C4—41no—
542(C2×D83)⋊C4—41no—
543(C2×D83)⋊C4C22×C414yes—
544(C2×D83)⋊C4C22×C414yes—
545(C2×D83)⋊C4C22×C414yes—
546(C2×D83)⋊C4C22×C414yes—
547(C2×D83)⋊C4C22×C414yescomplemented
548(C2×D83)⋊C4C22×C414yescomplemented
549(C2×D83)⋊C4C22×C414yescomplemented
550(C2×D83)⋊C4C22×C414yescomplemented
551(C2×D83)⋊C4C22×C414yescomplemented
552C4×Dic83—41no—
553C4×Dic83—41no—
554C4×Dic83—41no—
555C4×Dic83—41no—
556C4×Dic83—41no—
557C4×Dic83—41no—
558C4×Dic83C22×C414yescomplemented
559C24×C83C2411yescharacteristic
560C2×Q8×C83—41no—
561C2×Q8×C83—41no—
562C2×Q8×C83C22×C414yescomplemented
563C22×C4×C83—22no—
564C22×C4×C83—22no—
565C22×C4×C83—22no—
566C22×C4×C83—41no—
567C22×C4×C83—41no—
568C22×C4×C83—41no—
569C22×C4×C83—41no—
570C22×C4×C83—41no—
571C22×C4×C83C22×C414yes—
572C22×C4×C83C2411yescharacteristic
573C22×C4×C83C2411yescharacteristic
574C22×C4×C83C2411yescharacteristic
575C22×C4×C83C2411yescharacteristic
576C22×C4×C83C2411yescharacteristic
577C22×C4×C83C2411yescharacteristic
578C22×C4×C83C2411yescharacteristic
579C22×C4×C83C2411yescharacteristic
580C22×C4×C83C2411yescharacteristic
581C22×C4×C83C2411yescharacteristic
582C22×C4×C83C2411yescharacteristic
583C22×C4×C83C2411yescharacteristic
584C22×C4×C83C2411yescharacteristic
585C22×C4×C83C2411yescharacteristic
586C4⋊C4×C83—22no—
587C4⋊C4×C83—41no—
588C4⋊C4×C83—41no—
589C4⋊C4×C83—41no—
590C4⋊C4×C83C22×C414yescomplemented
591C4⋊C4×C83C22×C414yescomplemented
592C4⋊C4×C83C22×C414yescomplemented
593C22⋊C4×C83—22no—
594C22⋊C4×C83—22no—
595C22⋊C4×C83C22×C414yes—
596C22⋊C4×C83C22×C414yes—
597C42×C83—22no—
598C42×C83—41no—
599C42×C83—41no—
600C42×C83—41no—
601C42×C83—41no—
602C42×C83—41no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83C23×C412yes—
608C23×C83H(5,𝔽2)12yes—
609C23×C832−1+412yes—
610C23×C83C2511yescharacteristic
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—21no—
615C22×D83—28no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—21no—
623C22×D83—21no—
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×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—28no—
641C22×D83—28no—
642C22×D83—44no—
643C22×D83—44no—
644C22×D83—44no—
645C22×D83—44no—
646C22×D83—44no—
647C22×D83—44no—
648C22×D83—44no—
649C22×D83—82no—
650C22×D83—82no—
651C22×D83—82no—
652C22×D83—82no—
653C22×D83C23×C412yes—
654C22×D83C23×C412yes—
655C22×D83C23×C412yes—
656C22×D83C23×C412yes—
657C22×D83C23×C412yes—
658C22×D83H(5,𝔽2)12yes—
659C22×D83H(5,𝔽2)12yes—
660Q8×C83—44no—
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—21no—
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—
704C2×C4×C83C23×C412yes—
705C2×C4×C83H(5,𝔽2)12yes—
706C22⋊D83—28no—
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×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—44no—
738C2×Dic83—82no—
739C2×Dic83C23×C412yes—
740C2×Dic83C23×C412yes—
741C2×Dic83C23×C412yes—
742D332—28no—
743D332—28no—
744D332—28no—
745D332—44no—
746D332—44no—
747D332—44no—
748D332—44no—
749D332—44no—
750C4×D83—28no—
751C4×D83—44no—
752C4×D83—44no—
753C4×D83—44no—
754C4×D83—44no—
755C4×D83—44no—
756C4×D83—44no—
757C4×D83—44no—
758C4×D83—44no—
759C4×D83—82no—
760C4×D83—82no—
761C4×D83—82no—
762C4×D83—82no—
763C4×D83—82no—
764C4×D83—82no—
765C22×C83—22no—
766C22×C83—22no—
767C22×C83—22no—
768C22×C83—22no—
769C22×C83—22no—
770C22×C83—22no—
771C22×C83#52014yes—
772C22×C83C24×C411yescharacteristic
773C22×C83C2×H(5,𝔽2)11yescharacteristic
774C22×C83C2×H(5,𝔽2)11yescharacteristic
775C22×C83C2×H(5,𝔽2)11yescharacteristic
776C22×C83C2×H(5,𝔽2)11yescharacteristic
777C22×C83C2×2−1+411yescharacteristic
778C22×C83#58511yescharacteristic
779C2×D83—22no—
780C2×D83—22no—
781C2×D83—22no—
782C2×D83—22no—
783C2×D83—22no—
784C2×D83—22no—
785C2×D83—22no—
786C2×D83—22no—
787C2×D83—22no—
788C2×D83—22no—
789C2×D83—22no—
790C2×D83—22no—
791C2×D83—22no—
792C2×D83—22no—
793C2×D83—22no—
794C2×D83—22no—
795C2×D83—22no—
796C2×D83—22no—
797C2×D83—416no—
798C2×D83—41no—
799C2×D83—41no—
800C2×D83—41no—
801C2×D83—41no—
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—22no—
822C4×C83—22no—
823C4×C83—41no—
824C4×C83—41no—
825C4×C83—41no—
826C4×C83—41no—
827C4×C83—41no—
828C4×C83—41no—
829C4×C83—41no—
830Dic83—22no—
831Dic83—22no—
832Dic83—22no—
833Dic83—41no—
834Dic83—41no—
835Dic83—41no—
836Dic83—41no—
837Dic83—41no—
838Dic83—41no—
839Dic83—41no—
840Dic83—41no—
841#34456—831nomaximal, Sylow
842C2×C83—24no—
843C2×C83C2×#51811yescharacteristic
844C2×C83C2×#52011yescharacteristic
845C2×C83C4×H(5,𝔽2)11yescharacteristic
846C2×C83#353211yescharacteristic
847C2×C83#353411yescharacteristic
848C2×C83#353511yescharacteristic
849C2×C83#353611yescharacteristic
850D83—24no—
851D83—42no—
852D83—42no—
853D83—42no—
854D83—42no—
855C2×#546—831no—
856#2379—831no—
857#2377—831no—
858#2377—831no—
859#2376—831no—
860#2368D8311yescharacteristic, complemented
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#2318—831no—
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⋊Q8C2×D8311yescharacteristic
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×D4—831no—
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#391C2×D8311yescharacteristic, complemented
924#391C2×D8311yescharacteristic, complemented
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#388—831no—
952#388—831no—
953#387—831no—
954#387—831no—
955#387—831no—
956#387—831no—
957#387—831no—
958#387—831no—
959#387C2×D8311yescharacteristic, complemented
960#387C2×D8311yescharacteristic, complemented
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#386—831no—
984#386—831no—
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#383—831no—
1008#382—831no—
1009#382—831no—
1010#381—831no—
1011#381—831no—
1012#381—831no—
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#380—831no—
1022#379—831no—
1023#379—831no—
1024C4×C4⋊C4—831no—
1025C4×C4⋊C4C2×D8311yescharacteristic, complemented
1026C4×C4⋊C4C2×D8311yescharacteristic, complemented
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⋊C4C2×D8311yescharacteristic
1036C4×C22⋊C4C2×D8311yescharacteristic
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×Q8C22×D8311yescharacteristic
1049C22×D4—3322no—
1050C22×D4—3322no—
1051C22×D4—831no—
1052C22×D4—838no—
1053C22×D4—831no—
1054C22×D4—831no—
1055C22×D4—831no—
1056C22×D4—831no—
1057C22×D4—831no—
1058C22×D4—831no—
1059C22×D4—831no—
1060C22×D4—831no—
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×C4—831no—
1081C23×C4C22×D8311yescharacteristic
1082C23×C4C22×D8311yescharacteristic
1083C23×C4C22×D8311yescharacteristic
1084#124—838no—
1085#123—838no—
1086#123—838no—
1087C22⋊Q8C4×D8318yescomplemented
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×D4—838no—
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⋊C4C22×D8311yescharacteristic
1125C2×C4⋊C4C22×D8311yescharacteristic
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—831no—
1167C2×C22⋊C4—831no—
1168C2×C22⋊C4—831no—
1169C2×C22⋊C4—831no—
1170C2×C22⋊C4—838no—
1171C2×C22⋊C4—838no—
1172C2×C22⋊C4—831no—
1173C2×C22⋊C4—831no—
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—831no—
1176C2×C22⋊C4—831no—
1177C2×C22⋊C4—831no—
1178C2×C22⋊C4—831no—
1179C2×C22⋊C4—831no—
1180C2×C22⋊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×C42C22×D8311yescharacteristic
1192C2×C42C22×D8311yescharacteristic
1193C2×C42C22×D8311yescharacteristic
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—831no—
1250C24—1662no—
1251C24—1662no—
1252C24—1662no—
1253C24—1662no—
1254C24—1662no—
1255C24—1662no—
1256C24C23×D8311yescharacteristic
1257#41—33216no—
1258C2×Q8—41no—
1259C2×Q8—41no—
1260C2×Q8C2×C4×D8314yescomplemented
1261C2×D4—3321no—
1262C2×D4—3321no—
1263C2×D4—3321no—
1264C2×D4—3321no—
1265C2×D4—3321no—
1266C2×D4—3321no—
1267C2×D4—3321no—
1268C2×D4—3321no—
1269C2×D4—3321no—
1270C2×D4—3321no—
1271C2×D4—33216no—
1272C2×D4—834no—
1273C2×D4—834no—
1274C2×D4—834no—
1275C2×D4—834no—
1276C2×D4—834no—
1277C2×D4—834no—
1278C2×D4—834no—
1279C2×D4—834no—
1280C2×D4—834no—
1281C2×D4—1662no—
1282C2×D4—1662no—
1283C2×D4—1662no—
1284C2×D4—1662no—
1285C2×D4—1662no—
1286C2×D4—1662no—
1287C2×D4—1662no—
1288C2×D4—1662no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—3321no—
1298C22×C4—3321no—
1299C22×C4—3321no—
1300C22×C4—3321no—
1301C22×C4—3321no—
1302C22×C4—3321no—
1303C22×C4—3321no—
1304C22×C4—3321no—
1305C22×C4—3321no—
1306C22×C4—3321no—
1307C22×C4—3321no—
1308C22×C4—3321no—
1309C22×C4—3321no—
1310C22×C4—3321no—
1311C22×C4—3321no—
1312C22×C4—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—3321no—
1324C22×C4—3321no—
1325C22×C4—3321no—
1326C22×C4—3321no—
1327C22×C4—3321no—
1328C22×C4—33216no—
1329C22×C4—3321no—
1330C22×C4—3321no—
1331C22×C4—3321no—
1332C22×C4—3321no—
1333C22×C4—834no—
1334C22×C4—834no—
1335C22×C4—834no—
1336C22×C4—834no—
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—831no—
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×C4C23×D8311yescharacteristic
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—22no—
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—3321no—
1394C4⋊C4—834no—
1395C4⋊C4—1662no—
1396C4⋊C4C2×C4×D8314yescomplemented
1397C4⋊C4C2×C4×D8314yescomplemented
1398C4⋊C4C2×C4×D8314yescomplemented
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—3321no—
1402C22⋊C4—3321no—
1403C22⋊C4—3321no—
1404C22⋊C4—3321no—
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×D8314yes—
1445C42—22no—
1446C42—41no—
1447C42—41no—
1448C42—41no—
1449C42—41no—
1450C42—41no—
1451C42—3321no—
1452C42—3321no—
1453C42—3321no—
1454C42—3321no—
1455C42—3321no—
1456C42—3321no—
1457C42—834no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—3324no—
1463C23—3324no—
1464C23—3324no—
1465C23—3324no—
1466C23—3324no—
1467C23—3324no—
1468C23—3324no—
1469C23—832no—
1470C23—832no—
1471C23—832no—
1472C23—832no—
1473C23—832no—
1474C23—832no—
1475C23—832no—
1476C23—6642no—
1477C23—6642no—
1478C23—6642no—
1479C23—6642no—
1480C23—1668no—
1481C23—1668no—
1482C23—1661no—
1483C23—1661no—
1484C23—1661no—
1485C23—1661no—
1486C23—1661no—
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—1661no—
1506C23—1668no—
1507C23—1661no—
1508C23—1661no—
1509C23—1661no—
1510C23—1661no—
1511C23C22×C4×D8312yes—
1512C23#1458183812yes—
1513C23#1458184012yes—
1514C23C24×D8311yescharacteristic
1515Q8—44no—
1516D4—3324no—
1517D4—3324no—
1518D4—3324no—
1519D4—3324no—
1520D4—3324no—
1521D4—1668no—
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—21no—
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—3324no—
1572C2×C4—832no—
1573C2×C4—832no—
1574C2×C4—832no—
1575C2×C4—6642no—
1576C2×C4—6642no—
1577C2×C4—6642no—
1578C2×C4—6642no—
1579C2×C4—6642no—
1580C2×C4—6642no—
1581C2×C4—6642no—
1582C2×C4—1668no—
1583C2×C4—1661no—
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×C4C22×C4×D8312yes—
1614C2×C4C22×C4×D8312yes—
1615C2×C4C22×C4×D8312yes—
1616C2×C4C22×C4×D8312yes—
1617C2×C4C22×C4×D8312yes—
1618C2×C4C22×C4×D8312yes—
1619C2×C4#1458183812yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—33216no—
1627C22—3321no—
1628C22—3321no—
1629C22—3321no—
1630C22—3321no—
1631C22—3321no—
1632C22—3321no—
1633C22—3321no—
1634C22—3321no—
1635C22—3321no—
1636C22—3321no—
1637C22—3321no—
1638C22—3321no—
1639C22—3321no—
1640C22—3321no—
1641C22—3321no—
1642C22—3321no—
1643C22—834no—
1644C22—6648no—
1645C22—1662no—
1646C22—1662no—
1647C22—1662no—
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#1912818314yes—
1664C22C23×C4×D8311yescharacteristic
1665C22H(5,𝔽2)×D8311yescharacteristic
1666C22H(5,𝔽2)×D8311yescharacteristic
1667C22C2×#1458183811yescharacteristic
1668C22C2×#1458183811yescharacteristic
1669C22C2×#1458184011yescharacteristic
1670C22#1912853711yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—3321no—
1686C4—3321no—
1687C4—3321no—
1688C4—3321no—
1689C4—3321no—
1690C4—3321no—
1691C4—3321no—
1692C4—3321no—
1693C4—1662no—
1694C4—1662no—
1695C4—1662no—
1696C2—24no—
1697C2—3322no—
1698C2—3322no—
1699C2—3322no—
1700C2—3322no—
1701C2—1664no—
1702C2#518×D8311yescharacteristic
1703C2C2×#1912818311yescharacteristic
1704C2C4×#1458183811yescharacteristic
1705C2#2492161911yescharacteristic
1706C2#2492165611yescharacteristic
1707C2#2492166711yescharacteristic
1708C2#2492169111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2368C2
socle, cosocleC23×C83C25
prime radicalC2×#19128342C2
hypercenter#2368D83
hypocenterC83#34456
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2368

Complements

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

NH ≅ G/Ntype
2. #24910635C2semidirect
3. #24910618C2semidirect
4. #24910618C2semidirect
5. #24910610C2semidirect
6. #24910481C2semidirect
7. #24910460C2semidirect
8. #24910439C2semidirect
9. #24910439C2semidirect
10. #24910387C2semidirect
11. #24910370C2semidirect
12. #24910306C2semidirect
13. #24910306C2semidirect
14. #24910292C2semidirect
15. C22⋊C4×D332C2semidirect
16. #24910275C2semidirect
17. #24910247C2semidirect
18. #24910198C2semidirect
19. #24910162C2semidirect
20. #24910162C2semidirect
21. #24910157C2semidirect
22. #24910136C2semidirect
23. #24910123C2semidirect
24. #24910095C2semidirect
25. #24910090C2semidirect
26. #24910074C2semidirect
27. #24910054C2semidirect
28. C4×#14581762C2semidirect
29. C2×#19127579C2semidirect
30. #385×D83C2semidirect
31. C83×#2368C2semidirect
35. #19128342C4semidirect
46. C2×C4×D332C22semidirect
47. C2×C4×D332C22semidirect
49. C2×#14581754C22semidirect
50. C2×#14581754C22semidirect
54. C2×#14581749C22semidirect
55. C2×#14581749C22semidirect
56. C2×C4⋊C4×D83C22semidirect
57. C2×C4⋊C4×D83C22semidirect
65. #19127608C22semidirect
66. #19127608C22semidirect
69. #19127603C22semidirect
70. #19127603C22semidirect
71. #19127602C22semidirect
72. #19127602C22semidirect
73. #19127600C22semidirect
74. #19127600C22semidirect
75. #19127598C22semidirect
76. #19127598C22semidirect
77. #19127593C22semidirect
78. #19127593C22semidirect
79. #19127592C22semidirect
80. #19127592C22semidirect
81. #19127592C22semidirect
82. #19127592C22semidirect
83. #19127592C22semidirect
84. #19127592C22semidirect
85. #19127592C22semidirect
86. #19127592C22semidirect
87. #19127591C22semidirect
88. #19127591C22semidirect
89. #19127590C22semidirect
90. #19127590C22semidirect
91. #19127590C22semidirect
92. #19127590C22semidirect
93. #19127590C22semidirect
94. #19127590C22semidirect
95. #19127587C22semidirect
96. #19127587C22semidirect
97. #19127587C22semidirect
98. #19127587C22semidirect
99. #19127585C22semidirect
100. #19127585C22semidirect
113. #19127579C22semidirect
114. #19127579C22semidirect
115. #19127579C22semidirect
116. #19127579C22semidirect
117. #19127579C22semidirect
118. #19127579C22semidirect
119. #19127579C22semidirect
120. #19127579C22semidirect
125. #19127575C22semidirect
126. #19127575C22semidirect
127. #19127575C22semidirect
128. #19127575C22semidirect
129. #19127575C22semidirect
130. #19127575C22semidirect
131. #19127575C22semidirect
132. #19127575C22semidirect
137. #19127572C22semidirect
138. #19127572C22semidirect
139. #19127572C22semidirect
140. #19127572C22semidirect
141. #19127572C22semidirect
142. #19127572C22semidirect
143. #19127568C22semidirect
144. #19127565C22semidirect
145. #19127565C22semidirect
146. #19127563C22semidirect
147. #19127563C22semidirect
148. #19127563C22semidirect
150. #19127560C22semidirect
151. #19127560C22semidirect
152. #19127560C22semidirect
153. #19127560C22semidirect
154. #19127560C22semidirect
155. #19127560C22semidirect
156. #19127558C22semidirect
157. #19127558C22semidirect
160. #19127552C22semidirect
163. C4×(C2×D83)⋊C4C22semidirect
164. C4×(C2×D83)⋊C4C22semidirect
165. C4×(C2×D83)⋊C4C22semidirect
166. C4×(C2×D83)⋊C4C22semidirect
167. #19127548C22semidirect
168. #19127548C22semidirect
170. #95×D83C22semidirect
171. #95×D83C22semidirect
172. #95×D83C22semidirect
174. #391×C83C22semidirect
175. #391×C83C22semidirect
176. #387×C83C22semidirect
177. #387×C83C22semidirect
178. #387×C83C22semidirect
179. #387×C83C22semidirect
182. C4×C4⋊C4×C83C22semidirect
183. C4×C4⋊C4×C83C22semidirect
192. C2×#13050591C2×C4semidirect
195. C22×D332C2×C4semidirect
225. #14581781C2×C4semidirect
226. #14581777C2×C4semidirect
227. #14581777C2×C4semidirect
228. #14581767C2×C4semidirect
229. #14581767C2×C4semidirect
230. #14581767C2×C4semidirect
231. #14581762C2×C4semidirect
232. #14581762C2×C4semidirect
239. #14581754C2×C4semidirect
242. C4×C22⋊D83C2×C4semidirect
311. C22⋊C4×D83C2×C4semidirect
312. C22⋊C4×D83C2×C4semidirect
350. C22⋊Q8×C83C2×C4semidirect
425. C2×D332C22×C4semidirect
426. C2×D332C22×C4semidirect
490. C2×C4×D83C22×C4semidirect
491. C2×C4×D83C22×C4semidirect
492. C2×C4×D83C22×C4semidirect
509. Dic83⋊C4C22×C4semidirect
547. (C2×D83)⋊C4C22×C4semidirect
548. (C2×D83)⋊C4C22×C4semidirect
549. (C2×D83)⋊C4C22×C4semidirect
550. (C2×D83)⋊C4C22×C4semidirect
551. (C2×D83)⋊C4C22×C4semidirect
558. C4×Dic83C22×C4semidirect
562. C2×Q8×C83C22×C4semidirect
590. C4⋊C4×C83C22×C4semidirect
591. C4⋊C4×C83C22×C4semidirect
592. C4⋊C4×C83C22×C4semidirect
860. #2368D83semidirect
886. C83#34456semidirect
923. #391C2×D83semidirect
924. #391C2×D83semidirect
959. #387C2×D83semidirect
960. #387C2×D83semidirect
961. #387C2×D83semidirect
962. #387C2×D83semidirect
1025. C4×C4⋊C4C2×D83semidirect
1026. C4×C4⋊C4C2×D83semidirect
1087. C22⋊Q8C4×D83semidirect
1260. C2×Q8C2×C4×D83semidirect
1396. C4⋊C4C2×C4×D83semidirect
1397. C4⋊C4C2×C4×D83semidirect
1398. C4⋊C4C2×C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283422
#249106352
#249106182
#249106102
#249104812
#249104602
#249104392
#249103872
#249103702
#249103062
#249102922
C22⋊C4×D3322
#249102752
#249102472
#249101982
#249101622
#249101572
#249101362
#249101232
#249100952
#249100902
#249100742
#249100542
C4×#145817622
C2×#191275792
#385×D832
C83×#23682
#3445683