Finite Group Databasebeta

← #35570378

Subgroups — #35570378

Order 21248.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128441C211yesmaximal, characteristic
2#24910618C211yesmaximal, characteristic, complemented
3#24910616C211yesmaximal, characteristic, complemented
4#24910605C211yesmaximal, characteristic, complemented
5#24910597C211yesmaximal, characteristic, complemented
6#24910582C211yesmaximal, characteristic, complemented
7#24910577C211yesmaximal, characteristic, complemented
8#24910524C211yesmaximal, characteristic, complemented
9#24910481C211yesmaximal, characteristic, complemented
10#24910477C211yesmaximal, characteristic, complemented
11#24910477C211yesmaximal, characteristic, complemented
12#24910476C211yesmaximal, characteristic, complemented
13#24910445C211yesmaximal, characteristic, complemented
14#24910443C211yesmaximal, characteristic, complemented
15#24910441C211yesmaximal, characteristic, complemented
16#24910243C211yesmaximal, characteristic, complemented
17#24910232C211yesmaximal, characteristic, complemented
18#24910228C211yesmaximal, characteristic, complemented
19#24910228C211yesmaximal, characteristic, complemented
20#24910227C211yesmaximal, characteristic, complemented
21#24910226C211yesmaximal, characteristic, complemented
22#24910184C211yesmaximal, characteristic, complemented
23#24910135C211yesmaximal, characteristic, complemented
24#24910133C211yesmaximal, characteristic, complemented
25#24910125C211yesmaximal, characteristic, complemented
26#24910123C211yesmaximal, characteristic, complemented
27#24910122C211yesmaximal, characteristic, complemented
28C4×#14581774C211yesmaximal, characteristic, complemented
29C4×#14581767C211yesmaximal, characteristic, complemented
30#24909975C211yesmaximal, characteristic, complemented
31C83×#2374C211yesmaximal, characteristic, complemented
32#19128441C4116yescomplemented
33C2×#14581788C2211yescharacteristic
34C2×#14581787C2211yescharacteristic
35C2×#14581787C2211yescharacteristic
36C2×#14581774C2211yescharacteristic
37C2×#14581774C2211yescharacteristic
38C2×#14581767C2211yescharacteristic
39C2×#14581767C2211yescharacteristic
40C2×#14581766C2211yescharacteristic
41C2×#14581766C2211yescharacteristic
42C2×#14581765C2211yescharacteristic
43C2×#14581765C2211yescharacteristic
44C2×#14581762C2211yescharacteristic
45C2×#14581762C2211yescharacteristic
46C2×#14581760C2211yescharacteristic
47C2×C4×D332C2211yescharacteristic
48C2×C4×D332C2211yescharacteristic
49C2×C4×D332C2211yescharacteristic
50C2×C4×D332C2211yescharacteristic, complemented
51C2×D4×Dic83C2211yescharacteristic
52C2×#14581754C2211yescharacteristic
53C2×C4×C22⋊D83C2211yescharacteristic
54C2×(C22⋊D83)⋊C4C2211yescharacteristic
55C2×(C22⋊D83)⋊C4C2211yescharacteristic
56C2×(C22⋊D83)⋊C4C2211yescharacteristic
57C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
58C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
59C22×C4⋊Dic83C2211yescharacteristic, complemented
60C2×C4⋊C4×D83C2211yescharacteristic, complemented
61C22×(C2×D83)⋊C4C2211yescharacteristic
62C2×C22⋊C4×D83C2211yescharacteristic
63C2×C22⋊C4×D83C2211yescharacteristic
64C2×C42×D83C2211yescharacteristic, complemented
65#19127603C2211yescharacteristic
66#19127603C2211yescharacteristic
67#19127603C2211yescharacteristic
68#19127602C2211yescharacteristic
69#19127602C2211yescharacteristic, complemented
70#19127601C2211yescharacteristic
71#19127601C2211yescharacteristic
72#19127601C2211yescharacteristic
73#19127601C2211yescharacteristic
74#19127601C2211yescharacteristic, complemented
75#19127601C2211yescharacteristic, complemented
76#19127600C2211yescharacteristic, complemented
77#19127600C2211yescharacteristic, complemented
78#19127599C2211yescharacteristic, complemented
79#19127599C2211yescharacteristic, complemented
80#19127598C2211yescharacteristic, complemented
81#19127596C2211yescharacteristic, complemented
82#19127595C2211yescharacteristic
83#19127595C2211yescharacteristic
84#19127594C2211yescharacteristic
85#19127594C2211yescharacteristic
86#19127593C2211yescharacteristic
87#19127593C2211yescharacteristic
88#19127593C2211yescharacteristic
89#19127593C2211yescharacteristic
90#19127593C2211yescharacteristic
91#19127593C2211yescharacteristic, complemented
92#19127593C2211yescharacteristic, complemented
93#19127592C2211yescharacteristic
94#19127592C2211yescharacteristic
95#19127592C2211yescharacteristic
96#19127592C2211yescharacteristic
97#19127592C2211yescharacteristic
98#19127592C2211yescharacteristic, complemented
99#19127592C2211yescharacteristic, complemented
100#19127591C2211yescharacteristic
101#19127590C2211yescharacteristic
102#19127588C2211yescharacteristic, complemented
103#19127587C2211yescharacteristic, complemented
104#19127587C2211yescharacteristic, complemented
105#19127585C2211yescharacteristic, complemented
106#19127584C2211yescharacteristic, complemented
107#19127584C2211yescharacteristic, complemented
108#19127584C2211yescharacteristic, complemented
109#19127584C2211yescharacteristic, complemented
110#19127583C2211yescharacteristic, complemented
111#19127582C2211yescharacteristic, complemented
112#19127581C2211yescharacteristic
113#19127580C2211yescharacteristic
114#19127579C2211yescharacteristic
115#19127579C2211yescharacteristic
116#19127579C2211yescharacteristic
117#19127579C2211yescharacteristic
118#19127579C2211yescharacteristic
119#19127579C2211yescharacteristic
120#19127579C2211yescharacteristic
121#19127579C2211yescharacteristic
122#19127579C2211yescharacteristic, complemented
123#19127579C2211yescharacteristic, complemented
124#19127578C2211yescharacteristic
125#19127578C2211yescharacteristic
126#19127578C2211yescharacteristic
127#19127578C2211yescharacteristic, complemented
128#19127578C2211yescharacteristic, complemented
129#19127577C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127577C2211yescharacteristic
132#19127577C2211yescharacteristic
133#19127577C2211yescharacteristic, complemented
134#19127577C2211yescharacteristic, complemented
135#19127576C2211yescharacteristic
136#19127576C2211yescharacteristic
137#19127576C2211yescharacteristic, complemented
138#19127575C2211yescharacteristic
139#19127575C2211yescharacteristic
140#19127575C2211yescharacteristic
141#19127575C2211yescharacteristic, complemented
142#19127575C2211yescharacteristic, complemented
143#19127573C2211yescharacteristic
144#19127572C2211yescharacteristic
145#19127572C2211yescharacteristic
146#19127572C2211yescharacteristic
147#19127565C2211yescharacteristic, complemented
148#19127564C2211yescharacteristic, complemented
149#19127563C2211yescharacteristic, complemented
150#19127563C2211yescharacteristic, complemented
151#19127560C2211yescharacteristic, complemented
152#19127558C2211yescharacteristic, complemented
153#19127556C2211yescharacteristic
154C4⋊C4×Dic83C2211yescharacteristic, complemented
155C4×Dic83⋊C4C2211yescharacteristic, complemented
156C4×Dic83⋊C4C2211yescharacteristic, complemented
157C4×C4⋊Dic83C2211yescharacteristic, complemented
158C4×C4⋊Dic83C2211yescharacteristic, complemented
159#19127552C2211yescharacteristic, complemented
160C22⋊C4×Dic83C2211yescharacteristic, complemented
161C4×(C2×D83)⋊C4C2211yescharacteristic
162C4×(C2×D83)⋊C4C2211yescharacteristic
163C4×(C2×D83)⋊C4C2211yescharacteristic
164C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
167C4×C22⋊Dic83C2211yescharacteristic
168#19127548C2211yescharacteristic
169#19127548C2211yescharacteristic
170#19127548C2211yescharacteristic
171#19127548C2211yescharacteristic, complemented
172#19127546C2211yescharacteristic, complemented
173C2×#123×C83C2211yescharacteristic
174#390×C83C2211yescharacteristic
175#388×C83C2211yescharacteristic
176#388×C83C2211yescharacteristic
177#388×C83C2211yescharacteristic, complemented
178#388×C83C2211yescharacteristic, complemented
179#387×C83C2211yescharacteristic, complemented
180#387×C83C2211yescharacteristic, complemented
181#386×C83C2211yescharacteristic
182C4×C4⋊C4×C83C2211yescharacteristic, complemented
183C4×C4⋊C4×C83C2211yescharacteristic, complemented
184C4×C22⋊C4×C83C2211yescharacteristic
185C4×C22⋊C4×C83C2211yescharacteristic
186C4×C22⋊C4×C83C2211yescharacteristic, complemented
187C4×C22⋊C4×C83C2211yescharacteristic, complemented
188C24×D83C2311yescharacteristic
189C22×D332C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213#14581788C2×C418yescomplemented
214#14581787C2×C418yescomplemented
215#14581787C2×C418yescomplemented
216#14581774C2×C418yescomplemented
217#14581774C2×C418yescomplemented
218#14581767C2×C418yescomplemented
219#14581767C2×C418yescomplemented
220#14581766C2×C418yescomplemented
221#14581766C2×C418yescomplemented
222#14581765C2×C418yescomplemented
223#14581765C2×C418yescomplemented
224#14581762C2×C418yescomplemented
225#14581762C2×C418yescomplemented
226#14581760C2×C418yescomplemented
227C4×D332—42no—
228C4×D332—42no—
229C4×D332—42no—
230C4×D332—42no—
231D4×Dic83—42no—
232#14581754—42no—
233C4×C22⋊D83—42no—
234(C22⋊D83)⋊C4—42no—
235(C22⋊D83)⋊C4—42no—
236(C22⋊D83)⋊C4—42no—
237(C22⋊D83)⋊C4—42no—
238(C22⋊D83)⋊C4—42no—
239C2×C4⋊Dic83—42no—
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
242C2×C4⋊Dic83C2311yescharacteristic
243C2×C4⋊Dic83C2311yescharacteristic
244C2×C4⋊Dic83C2311yescharacteristic
245C2×C4⋊Dic83C2311yescharacteristic
246C2×C4⋊Dic83C2311yescharacteristic
247C2×C4⋊Dic83C2311yescharacteristic
248C2×C4⋊Dic83C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C4⋊C4×D83—42no—
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×(C2×D83)⋊C4—42no—
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C22⋊C4×D83—42no—
300C22⋊C4×D83—42no—
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C2×C4×Dic83C2311yescharacteristic
305C2×C4×Dic83C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
308C2×C4×Dic83C2311yescharacteristic
309C2×C4×Dic83C2311yescharacteristic
310C2×C4×Dic83C2311yescharacteristic
311C2×C4×Dic83C2311yescharacteristic
312C2×C4×Dic83C2311yescharacteristic
313C42×D83—42no—
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C22×D4×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343#123×C83C2×C418yescomplemented
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C4⋊C4×C83C2311yescharacteristic
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C42×C83C2311yescharacteristic
360C2×C42×C83C2311yescharacteristic
361C2×C42×C83C2311yescharacteristic
362C2×C42×C83C2311yescharacteristic
363C2×C42×C83C2311yescharacteristic
364C2×C42×C83C2311yescharacteristic
365C2×C42×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369#95×C83C2311yescharacteristic
370#95×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375#95×C83C2311yescharacteristic
376C23×D83—41no—
377C23×D83—41no—
378C23×D83—41no—
379C23×D83—41no—
380C23×D83—41no—
381C23×D83—41no—
382C23×D83C22×C414yes—
383C23×D83C2411yescharacteristic
384C23×D83C2411yescharacteristic
385C23×D83C2411yescharacteristic
386C23×D83C2411yescharacteristic
387C2×D332—41no—
388C2×D332—41no—
389C2×D332—41no—
390C2×D332—41no—
391C2×D332—41no—
392C2×D332—41no—
393C2×D332—41no—
394C2×D332—41no—
395C2×D332—41no—
396C2×D332—41no—
397C2×D332C22×C414yes—
398C2×D332C22×C414yes—
399C2×D332C22×C414yes—
400C2×D332C22×C414yes—
401C2×D332C22×C414yes—
402C2×C22⋊D83—41no—
403C2×C22⋊D83—41no—
404C2×C22⋊D83—41no—
405C2×C22⋊D83—41no—
406C2×C22⋊D83—41no—
407C2×C22⋊D83—41no—
408C2×C22⋊D83—41no—
409C2×C22⋊D83—41no—
410C2×C22⋊D83—41no—
411C2×C22⋊D83—41no—
412C2×C22⋊D83—41no—
413C2×C22⋊D83—41no—
414C2×C22⋊D83C22×C414yes—
415C2×C22⋊D83C22×C414yes—
416C2×C22⋊D83C22×C414yes—
417C2×C22⋊D83C22×C414yes—
418C2×C22⋊D83C22×C414yes—
419C2×C22⋊D83C22×C414yes—
420C22×Dic83—22no—
421C22×Dic83—41no—
422C22×Dic83—41no—
423C22×Dic83—41no—
424C22×Dic83—41no—
425C22×Dic83—41no—
426C22×Dic83—41no—
427C22×Dic83—41no—
428C22×Dic83—41no—
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
440C22×Dic83C2411yescharacteristic
441C2×C4×D83—22no—
442C2×C4×D83—22no—
443C2×C4×D83—22no—
444C2×C4×D83—22no—
445C2×C4×D83—22no—
446C2×C4×D83—22no—
447C2×C4×D83—41no—
448C2×C4×D83—41no—
449C2×C4×D83—41no—
450C2×C4×D83—41no—
451C2×C4×D83—41no—
452C2×C4×D83—41no—
453C2×C4×D83—41no—
454C2×C4×D83—41no—
455C2×C4×D83—41no—
456C2×C4×D83—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83—41no—
460C2×C4×D83—41no—
461C2×C4×D83—41no—
462C2×C4×D83—41no—
463C2×C4×D83—41no—
464C2×C4×D83—41no—
465C2×C4×D83—41no—
466C2×C4×D83—41no—
467C2×C4×D83—41no—
468C2×C4×D83—41no—
469C2×C4×D83C22×C414yes—
470C2×C4×D83C22×C414yes—
471C4⋊Dic83—22no—
472C4⋊Dic83—22no—
473C4⋊Dic83—22no—
474C4⋊Dic83—41no—
475C4⋊Dic83—41no—
476C4⋊Dic83—41no—
477C4⋊Dic83—41no—
478C4⋊Dic83C22×C414yes—
479C4⋊Dic83C22×C414yes—
480Dic83⋊C4—22no—
481Dic83⋊C4—22no—
482Dic83⋊C4—41no—
483Dic83⋊C4—41no—
484Dic83⋊C4—41no—
485Dic83⋊C4—41no—
486Dic83⋊C4—41no—
487Dic83⋊C4—41no—
488Dic83⋊C4C22×C414yes—
489Dic83⋊C4C22×C414yes—
490C22⋊Dic83—22no—
491C22⋊Dic83—41no—
492C22⋊Dic83—41no—
493C22⋊Dic83—41no—
494C22⋊Dic83—41no—
495C22⋊Dic83C22×C414yes—
496(C2×D83)⋊C4—22no—
497(C2×D83)⋊C4—22no—
498(C2×D83)⋊C4—22no—
499(C2×D83)⋊C4—22no—
500(C2×D83)⋊C4—22no—
501(C2×D83)⋊C4—22no—
502(C2×D83)⋊C4—41no—
503(C2×D83)⋊C4—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊C4—41no—
509(C2×D83)⋊C4—41no—
510(C2×D83)⋊C4—41no—
511(C2×D83)⋊C4—41no—
512(C2×D83)⋊C4—41no—
513(C2×D83)⋊C4—41no—
514(C2×D83)⋊C4—41no—
515(C2×D83)⋊C4—41no—
516(C2×D83)⋊C4—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4C22×C414yes—
521(C2×D83)⋊C4C22×C414yes—
522(C2×D83)⋊C4C22×C414yes—
523(C2×D83)⋊C4C22×C414yes—
524(C2×D83)⋊C4C22×C414yes—
525(C2×D83)⋊C4C22×C414yes—
526(C2×D83)⋊C4C22×C414yes—
527(C2×D83)⋊C4C22×C414yes—
528C4×Dic83—22no—
529C4×Dic83—22no—
530C4×Dic83—41no—
531C4×Dic83—41no—
532C4×Dic83—41no—
533C4×Dic83—41no—
534C4×Dic83—41no—
535C4×Dic83—41no—
536C4×Dic83—41no—
537C4×Dic83—41no—
538C4×Dic83—41no—
539C4×Dic83C22×C414yes—
540C24×C83C2411yescharacteristic
541C24×C83C2411yescharacteristic
542C2×D4×C83—41no—
543C2×D4×C83—41no—
544C2×D4×C83C22×C414yes—
545C22×C4×C83—22no—
546C22×C4×C83—41no—
547C22×C4×C83—41no—
548C22×C4×C83—41no—
549C22×C4×C83—41no—
550C22×C4×C83C22×C414yes—
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22×C4×C83C2411yescharacteristic
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564C4⋊C4×C83—22no—
565C4⋊C4×C83—41no—
566C4⋊C4×C83—41no—
567C4⋊C4×C83C22×C414yes—
568C4⋊C4×C83C22×C414yes—
569C22⋊C4×C83—22no—
570C22⋊C4×C83—22no—
571C22⋊C4×C83—22no—
572C22⋊C4×C83—41no—
573C22⋊C4×C83—41no—
574C22⋊C4×C83—41no—
575C22⋊C4×C83—41no—
576C22⋊C4×C83C22×C414yes—
577C22⋊C4×C83C22×C414yes—
578C22⋊C4×C83C22×C414yes—
579C42×C83—22no—
580C42×C83—41no—
581C42×C83—41no—
582C42×C83—41no—
583C42×C83—41no—
584C42×C83—41no—
585C42×C83—41no—
586C23×C83—21no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83C23×C412yes—
599C23×C83C23×C412yes—
600C23×C83C2511yescharacteristic
601C22×D83—21no—
602C22×D83—21no—
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
606C22×D83—21no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—21no—
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—21no—
623C22×D83—21no—
624C22×D83—21no—
625C22×D83—44no—
626C22×D83—44no—
627C22×D83—44no—
628C22×D83—82no—
629C22×D83—82no—
630C22×D83—82no—
631C22×D83—82no—
632C22×D83C23×C412yes—
633C22×D83C23×C412yes—
634C22×D83C23×C412yes—
635C22×D83C23×C412yes—
636D4×C83—44no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—44no—
670C2×C4×C83—82no—
671C2×C4×C83C23×C412yes—
672C2×C4×C83C23×C412yes—
673C2×C4×C83C23×C412yes—
674C2×C4×C83C23×C412yes—
675C2×C4×C83C23×C412yes—
676C2×C4×C83H(5,𝔽2)12yes—
677C2×C4×C83H(5,𝔽2)12yes—
678C22⋊D83—44no—
679C22⋊D83—44no—
680C22⋊D83—44no—
681C22⋊D83—44no—
682C22⋊D83—44no—
683C22⋊D83—44no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—82no—
716C2×Dic83—82no—
717C2×Dic83—82no—
718C2×Dic83C23×C412yes—
719C2×Dic83C23×C412yes—
720C2×Dic83C23×C412yes—
721C2×Dic83C23×C412yes—
722C2×Dic83H(5,𝔽2)12yes—
723D332—44no—
724D332—44no—
725D332—44no—
726D332—44no—
727D332—44no—
728C4×D83—44no—
729C4×D83—44no—
730C4×D83—44no—
731C4×D83—44no—
732C4×D83—82no—
733C4×D83—82no—
734C4×D83—82no—
735C4×D83—82no—
736C4×D83—82no—
737C4×D83—82no—
738C22×C83—22no—
739C22×C83—22no—
740C22×C83—22no—
741C22×C83—22no—
742C22×C83—22no—
743C22×C83—22no—
744C22×C83—41no—
745C22×C83—41no—
746C22×C83—41no—
747C22×C83—41no—
748C22×C83—41no—
749C22×C83—41no—
750C22×C83—41no—
751C22×C83—41no—
752C22×C83C24×C411yescharacteristic
753C22×C83C2×H(5,𝔽2)11yescharacteristic
754C22×C83C2×H(5,𝔽2)11yescharacteristic
755C22×C83C2×H(5,𝔽2)11yescharacteristic
756C22×C83#58511yescharacteristic
757C22×C83#58511yescharacteristic
758C22×C83#58511yescharacteristic
759C2×D83—22no—
760C2×D83—22no—
761C2×D83—22no—
762C2×D83—22no—
763C2×D83—22no—
764C2×D83—22no—
765C2×D83—22no—
766C2×D83—22no—
767C2×D83—22no—
768C2×D83—22no—
769C2×D83—22no—
770C2×D83—22no—
771C2×D83—41no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83—41no—
775C2×D83—41no—
776C2×D83—41no—
777C2×D83—41no—
778C2×D83—41no—
779C2×D83—41no—
780C2×D83—41no—
781C2×D83—41no—
782C2×D83—41no—
783C2×D83—41no—
784C2×D83—41no—
785C2×D83—41no—
786C2×D83—41no—
787C2×D83—88no—
788C4×C83—22no—
789C4×C83—22no—
790C4×C83—22no—
791C4×C83—22no—
792C4×C83—22no—
793C4×C83—22no—
794C4×C83—22no—
795C4×C83—41no—
796C4×C83—41no—
797C4×C83—41no—
798C4×C83—41no—
799C4×C83—41no—
800C4×C83—41no—
801Dic83—22no—
802Dic83—22no—
803Dic83—22no—
804Dic83—22no—
805Dic83—22no—
806Dic83—41no—
807Dic83—41no—
808Dic83—41no—
809Dic83—41no—
810Dic83—41no—
811Dic83—41no—
812Dic83—41no—
813#34518—831nomaximal, Sylow
814C2×C83—42no—
815C2×C83—42no—
816C2×C83C4×H(5,𝔽2)11yescharacteristic
817C2×C83C4×H(5,𝔽2)11yescharacteristic
818C2×C83C4×H(5,𝔽2)11yescharacteristic
819C2×C83#353311yescharacteristic
820C2×C83#353711yescharacteristic
821C2×C83#356211yescharacteristic
822C2×C83#356211yescharacteristic
823D83—42no—
824D83—42no—
825D83—42no—
826D83—42no—
827C2×#560—831no—
828#2377—831no—
829#2377—831no—
830#2376—831no—
831#2374—831no—
832#2374D8311yescharacteristic, complemented
833#2373—831no—
834#2373—831no—
835#2366—831no—
836#2361—831no—
837#2361—831no—
838#2361—831no—
839#2361—831no—
840#2358—831no—
841#2358—831no—
842#2358—831no—
843#2334—831no—
844#2334—831no—
845#2333—831no—
846#2333—831no—
847#2333—831no—
848#2333—831no—
849#2328—831no—
850#2322—831no—
851#2322—831no—
852#2321—831no—
853#2321—831no—
854#2321—831no—
855C4×#123—831no—
856C4×#121—831no—
857C4×#121—831no—
858C83#3451811yescharacteristic, complemented, Sylow
859#560—8316no—
860C2×#127—831no—
861C2×#126—831no—
862C2×#126—831no—
863C2×#123—831no—
864C2×#123—831no—
865C2×#123C2×D8311yescharacteristic
866C2×#121—831no—
867C2×#121—831no—
868C2×#121—831no—
869C2×#121—831no—
870C2×#121—831no—
871C2×#121—831no—
872C2×#120—831no—
873C2×#120—831no—
874C2×#120—831no—
875C2×C4×D4—831no—
876C2×C4×D4—831no—
877C2×C4×D4—831no—
878C2×C4×D4—831no—
879C2×C4×D4—831no—
880C2×C4×D4—831no—
881C2×C4×D4—831no—
882C2×C4×D4—831no—
883C2×C4×D4—831no—
884C2×C4×D4—831no—
885C2×C4×D4—831no—
886C2×C4×D4—831no—
887C22×C4⋊C4—831no—
888C22×C4⋊C4—831no—
889C22×C22⋊C4—831no—
890C22×C22⋊C4—831no—
891C22×C22⋊C4—831no—
892C22×C42—831no—
893#390—831no—
894#390—831no—
895#390—831no—
896#390—831no—
897#390—831no—
898#390—831no—
899#390—831no—
900#390—831no—
901#390—831no—
902#390—831no—
903#390—831no—
904#390C2×D8311yescharacteristic
905#389—831no—
906#389—831no—
907#389—831no—
908#389—831no—
909#389—831no—
910#389—831no—
911#388—831no—
912#388—831no—
913#388—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388—831no—
930#388—831no—
931#388C2×D8311yescharacteristic
932#388C2×D8311yescharacteristic
933#388C2×D8311yescharacteristic, complemented
934#388C2×D8311yescharacteristic, complemented
935#387—831no—
936#387—831no—
937#387—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#387—831no—
943#387—831no—
944#387—831no—
945#387C2×D8311yescharacteristic, complemented
946#387C2×D8311yescharacteristic, complemented
947#386—831no—
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#386—831no—
953#386—831no—
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#386—831no—
963#386—831no—
964#386—831no—
965#386—831no—
966#386—831no—
967#386—831no—
968#386—831no—
969#386—831no—
970#386C2×D8311yescharacteristic
971#385—831no—
972#385—831no—
973#385—831no—
974#385—831no—
975#385—831no—
976#385—831no—
977#385—831no—
978#385—831no—
979#385—831no—
980#385—831no—
981#385—831no—
982#385—831no—
983#382—831no—
984#381—831no—
985#381—831no—
986#381—831no—
987#380—831no—
988#380—831no—
989#379—831no—
990C4×C4⋊C4—831no—
991C4×C4⋊C4—831no—
992C4×C4⋊C4—831no—
993C4×C4⋊C4—831no—
994C4×C4⋊C4—831no—
995C4×C4⋊C4—831no—
996C4×C4⋊C4C2×D8311yescharacteristic, complemented
997C4×C4⋊C4C2×D8311yescharacteristic, complemented
998C4×C22⋊C4—831no—
999C4×C22⋊C4—831no—
1000C4×C22⋊C4—831no—
1001C4×C22⋊C4—831no—
1002C4×C22⋊C4—831no—
1003C4×C22⋊C4—831no—
1004C4×C22⋊C4—831no—
1005C4×C22⋊C4—831no—
1006C4×C22⋊C4—831no—
1007C4×C22⋊C4—831no—
1008C4×C22⋊C4—831no—
1009C4×C22⋊C4—831no—
1010C4×C22⋊C4C2×D8311yescharacteristic
1011C4×C22⋊C4C2×D8311yescharacteristic
1012C4×C22⋊C4C2×D8311yescharacteristic, complemented
1013C4×C22⋊C4C2×D8311yescharacteristic, complemented
1014#376—831no—
1015C25—831no—
1016C22×D4—831no—
1017C22×D4—831no—
1018C22×D4—831no—
1019C22×D4—831no—
1020C22×D4—831no—
1021C22×D4—831no—
1022C22×D4—831no—
1023C22×D4—831no—
1024C22×D4—831no—
1025C22×D4—831no—
1026C22×D4—831no—
1027C22×D4C22×D8311yescharacteristic
1028C23×C4—831no—
1029C23×C4—831no—
1030C23×C4—831no—
1031C23×C4—831no—
1032C23×C4—831no—
1033C23×C4—831no—
1034C23×C4—831no—
1035C23×C4—831no—
1036C23×C4—831no—
1037C23×C4—831no—
1038C23×C4—831no—
1039C23×C4—831no—
1040C23×C4—831no—
1041C23×C4C22×D8311yescharacteristic
1042C23×C4C22×D8311yescharacteristic
1043#127—838no—
1044#126—838no—
1045#126—838no—
1046#123—838no—
1047#123—838no—
1048#123C4×D8318yescomplemented
1049#121—838no—
1050#121—838no—
1051#121—838no—
1052#121—838no—
1053#121—838no—
1054#121—838no—
1055#120—838no—
1056#120—838no—
1057#120—838no—
1058C4×D4—3322no—
1059C4×D4—3322no—
1060C4×D4—3322no—
1061C4×D4—3322no—
1062C4×D4—3322no—
1063C4×D4—3322no—
1064C4×D4—3322no—
1065C4×D4—3322no—
1066C4×D4—3322no—
1067C4×D4—3322no—
1068C4×D4—3322no—
1069C4×D4—3322no—
1070C2×C4⋊C4—3322no—
1071C2×C4⋊C4—3322no—
1072C2×C4⋊C4—831no—
1073C2×C4⋊C4—831no—
1074C2×C4⋊C4—831no—
1075C2×C4⋊C4—831no—
1076C2×C4⋊C4—831no—
1077C2×C4⋊C4—831no—
1078C2×C4⋊C4—831no—
1079C2×C4⋊C4—831no—
1080C2×C4⋊C4—831no—
1081C2×C4⋊C4—831no—
1082C2×C4⋊C4—831no—
1083C2×C4⋊C4—831no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4—831no—
1089C2×C4⋊C4—831no—
1090C2×C4⋊C4—831no—
1091C2×C4⋊C4C22×D8311yescharacteristic
1092C2×C4⋊C4C22×D8311yescharacteristic
1093C2×C4⋊C4C22×D8311yescharacteristic
1094C2×C4⋊C4C22×D8311yescharacteristic
1095C2×C4⋊C4C22×D8311yescharacteristic
1096C2×C22⋊C4—3322no—
1097C2×C22⋊C4—3322no—
1098C2×C22⋊C4—3322no—
1099C2×C22⋊C4—831no—
1100C2×C22⋊C4—831no—
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—831no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4—831no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—831no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4C22×D8311yescharacteristic
1138C2×C22⋊C4C22×D8311yescharacteristic
1139C2×C22⋊C4C22×D8311yescharacteristic
1140C2×C22⋊C4C22×D8311yescharacteristic
1141C2×C22⋊C4C22×D8311yescharacteristic
1142C2×C22⋊C4C22×D8311yescharacteristic
1143C2×C22⋊C4C22×D8311yescharacteristic
1144C2×C22⋊C4C22×D8311yescharacteristic
1145C2×C22⋊C4C22×D8311yescharacteristic
1146C2×C22⋊C4C22×D8311yescharacteristic
1147C2×C42—3322no—
1148C2×C42—831no—
1149C2×C42—831no—
1150C2×C42—831no—
1151C2×C42—831no—
1152C2×C42—831no—
1153C2×C42—831no—
1154C2×C42—831no—
1155C2×C42—831no—
1156C2×C42—831no—
1157C2×C42—831no—
1158C2×C42—831no—
1159C2×C42—831no—
1160C2×C42C22×D8311yescharacteristic
1161C2×C42C22×D8311yescharacteristic
1162C2×C42C22×D8311yescharacteristic
1163C2×C42C22×D8311yescharacteristic
1164C2×C42C22×D8311yescharacteristic
1165C2×C42C22×D8311yescharacteristic
1166C2×C42C22×D8311yescharacteristic
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95C22×D8311yescharacteristic
1194#95C22×D8311yescharacteristic
1195#95C22×D8311yescharacteristic
1196#95C22×D8311yescharacteristic
1197#95C22×D8311yescharacteristic
1198#95C22×D8311yescharacteristic
1199#95C22×D8311yescharacteristic
1200#95C22×D8311yescharacteristic
1201#95C22×D8311yescharacteristic
1202#95C22×D8311yescharacteristic
1203C24—3321no—
1204C24—3321no—
1205C24—3321no—
1206C24—3321no—
1207C24—3321no—
1208C24—3321no—
1209C24—834no—
1210C24—831no—
1211C24—831no—
1212C24—831no—
1213C24—831no—
1214C24C23×D8311yescharacteristic
1215C24C23×D8311yescharacteristic
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—3321no—
1219C2×D4—3321no—
1220C2×D4—3321no—
1221C2×D4—3321no—
1222C2×D4—3321no—
1223C2×D4—3321no—
1224C2×D4—3321no—
1225C2×D4—3321no—
1226C2×D4—3321no—
1227C2×D4—3321no—
1228C2×D4—3321no—
1229C2×D4—3321no—
1230C2×D4—3321no—
1231C2×D4—3321no—
1232C2×D4—3321no—
1233C2×D4—3321no—
1234C2×D4—3321no—
1235C2×D4—3321no—
1236C2×D4—3321no—
1237C2×D4—3321no—
1238C2×D4—3321no—
1239C2×D4—3321no—
1240C2×D4—834no—
1241C2×D4—834no—
1242C2×D4—834no—
1243C2×D4—834no—
1244C2×D4—834no—
1245C2×D4—834no—
1246C2×D4—834no—
1247C2×D4—834no—
1248C2×D4—834no—
1249C2×D4—834no—
1250C2×D4—834no—
1251C2×D4C2×C4×D8314yes—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—3321no—
1258C22×C4—3321no—
1259C22×C4—3321no—
1260C22×C4—3321no—
1261C22×C4—3321no—
1262C22×C4—3321no—
1263C22×C4—3321no—
1264C22×C4—3321no—
1265C22×C4—3321no—
1266C22×C4—3321no—
1267C22×C4—3321no—
1268C22×C4—3321no—
1269C22×C4—3321no—
1270C22×C4—3321no—
1271C22×C4—3321no—
1272C22×C4—3321no—
1273C22×C4—3321no—
1274C22×C4—3321no—
1275C22×C4—3321no—
1276C22×C4—3321no—
1277C22×C4—3321no—
1278C22×C4—3321no—
1279C22×C4—3321no—
1280C22×C4—3321no—
1281C22×C4—3321no—
1282C22×C4—3321no—
1283C22×C4—3321no—
1284C22×C4—3321no—
1285C22×C4—3321no—
1286C22×C4—3321no—
1287C22×C4—834no—
1288C22×C4—834no—
1289C22×C4—831no—
1290C22×C4—831no—
1291C22×C4—831no—
1292C22×C4—831no—
1293C22×C4—831no—
1294C22×C4—831no—
1295C22×C4—831no—
1296C22×C4—831no—
1297C22×C4—831no—
1298C22×C4—831no—
1299C22×C4—831no—
1300C22×C4—831no—
1301C22×C4—1662no—
1302C22×C4—1662no—
1303C22×C4—1662no—
1304C22×C4—1662no—
1305C22×C4—1662no—
1306C22×C4—1662no—
1307C22×C4—1662no—
1308C22×C4C2×C4×D8314yes—
1309C22×C4C23×D8311yescharacteristic
1310C22×C4C23×D8311yescharacteristic
1311C22×C4C23×D8311yescharacteristic
1312C22×C4C23×D8311yescharacteristic
1313C22×C4C23×D8311yescharacteristic
1314C22×C4C23×D8311yescharacteristic
1315C22×C4C23×D8311yescharacteristic
1316C22×C4C23×D8311yescharacteristic
1317C22×C4C23×D8311yescharacteristic
1318C22×C4C23×D8311yescharacteristic
1319C22×C4C23×D8311yescharacteristic
1320C22×C4C23×D8311yescharacteristic
1321C22×C4C23×D8311yescharacteristic
1322C4⋊C4—22no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—3321no—
1326C4⋊C4—3321no—
1327C4⋊C4—3321no—
1328C4⋊C4—3321no—
1329C4⋊C4—3321no—
1330C4⋊C4—3321no—
1331C4⋊C4—3321no—
1332C4⋊C4—3321no—
1333C4⋊C4—3321no—
1334C4⋊C4—3321no—
1335C4⋊C4—834no—
1336C4⋊C4—834no—
1337C4⋊C4—834no—
1338C4⋊C4—834no—
1339C4⋊C4—1662no—
1340C4⋊C4—1662no—
1341C4⋊C4—1662no—
1342C4⋊C4—1662no—
1343C4⋊C4—1662no—
1344C4⋊C4C2×C4×D8314yes—
1345C4⋊C4C2×C4×D8314yes—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—3321no—
1354C22⋊C4—3321no—
1355C22⋊C4—3321no—
1356C22⋊C4—3321no—
1357C22⋊C4—3321no—
1358C22⋊C4—3321no—
1359C22⋊C4—3321no—
1360C22⋊C4—3321no—
1361C22⋊C4—3321no—
1362C22⋊C4—3321no—
1363C22⋊C4—3321no—
1364C22⋊C4—3321no—
1365C22⋊C4—3321no—
1366C22⋊C4—3321no—
1367C22⋊C4—3321no—
1368C22⋊C4—3321no—
1369C22⋊C4—3321no—
1370C22⋊C4—3321no—
1371C22⋊C4—3321no—
1372C22⋊C4—3321no—
1373C22⋊C4—3321no—
1374C22⋊C4—3321no—
1375C22⋊C4—834no—
1376C22⋊C4—834no—
1377C22⋊C4—834no—
1378C22⋊C4—834no—
1379C22⋊C4—834no—
1380C22⋊C4—834no—
1381C22⋊C4—834no—
1382C22⋊C4—834no—
1383C22⋊C4—834no—
1384C22⋊C4—1662no—
1385C22⋊C4—1662no—
1386C22⋊C4—1662no—
1387C22⋊C4—1662no—
1388C22⋊C4—1662no—
1389C22⋊C4—1662no—
1390C22⋊C4—1662no—
1391C22⋊C4C2×C4×D8314yes—
1392C22⋊C4C2×C4×D8314yes—
1393C22⋊C4C2×C4×D8314yes—
1394C42—22no—
1395C42—41no—
1396C42—41no—
1397C42—41no—
1398C42—41no—
1399C42—41no—
1400C42—41no—
1401C42—3321no—
1402C42—3321no—
1403C42—3321no—
1404C42—3321no—
1405C42—3321no—
1406C42—3321no—
1407C42—3321no—
1408C42—3321no—
1409C42—3321no—
1410C42—834no—
1411C42—1662no—
1412C42—1662no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—3324no—
1426C23—3324no—
1427C23—3324no—
1428C23—832no—
1429C23—832no—
1430C23—832no—
1431C23—832no—
1432C23—6642no—
1433C23—6642no—
1434C23—6642no—
1435C23—6642no—
1436C23—1661no—
1437C23—1661no—
1438C23—1661no—
1439C23—1661no—
1440C23—1661no—
1441C23—1661no—
1442C23—1661no—
1443C23—1661no—
1444C23—1661no—
1445C23—1661no—
1446C23—1661no—
1447C23—1661no—
1448C23—1661no—
1449C23—1661no—
1450C23—1661no—
1451C23—1661no—
1452C23—1661no—
1453C23—1661no—
1454C23—1661no—
1455C23—1661no—
1456C23—1661no—
1457C23—1661no—
1458C23—1661no—
1459C23—1661no—
1460C23C22×C4×D8312yes—
1461C23C22×C4×D8312yes—
1462C23C24×D8311yescharacteristic
1463D4—44no—
1464D4—3324no—
1465D4—3324no—
1466D4—3324no—
1467D4—3324no—
1468D4—3324no—
1469D4—3324no—
1470D4—3324no—
1471D4—3324no—
1472D4—3324no—
1473D4—3324no—
1474D4—3324no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—44no—
1508C2×C4—82no—
1509C2×C4—3324no—
1510C2×C4—3324no—
1511C2×C4—3324no—
1512C2×C4—3324no—
1513C2×C4—832no—
1514C2×C4—832no—
1515C2×C4—832no—
1516C2×C4—832no—
1517C2×C4—832no—
1518C2×C4—6642no—
1519C2×C4—6642no—
1520C2×C4—6642no—
1521C2×C4—6642no—
1522C2×C4—6642no—
1523C2×C4—6642no—
1524C2×C4—6642no—
1525C2×C4—6642no—
1526C2×C4—6642no—
1527C2×C4—1661no—
1528C2×C4—1661no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4—1661no—
1537C2×C4—1661no—
1538C2×C4—1661no—
1539C2×C4—1661no—
1540C2×C4—1661no—
1541C2×C4—1661no—
1542C2×C4—1661no—
1543C2×C4—1661no—
1544C2×C4—1661no—
1545C2×C4—1661no—
1546C2×C4—1661no—
1547C2×C4—1661no—
1548C2×C4—1661no—
1549C2×C4—1661no—
1550C2×C4—1661no—
1551C2×C4—1661no—
1552C2×C4—1661no—
1553C2×C4—1661no—
1554C2×C4—1661no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4C22×C4×D8312yes—
1559C2×C4C22×C4×D8312yes—
1560C2×C4C22×C4×D8312yes—
1561C2×C4C22×C4×D8312yes—
1562C2×C4C22×C4×D8312yes—
1563C2×C4#1458183812yes—
1564C2×C4#1458183812yes—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—3321no—
1580C22—3321no—
1581C22—3321no—
1582C22—3321no—
1583C22—3321no—
1584C22—3321no—
1585C22—3321no—
1586C22—3321no—
1587C22—3321no—
1588C22—3321no—
1589C22—3321no—
1590C22—3321no—
1591C22—3321no—
1592C22—3321no—
1593C22—3321no—
1594C22—3321no—
1595C22—6648no—
1596C22—1662no—
1597C22—1662no—
1598C22—1662no—
1599C22—1662no—
1600C22—1662no—
1601C22—1662no—
1602C22—1662no—
1603C22—1662no—
1604C22—1662no—
1605C22—1662no—
1606C22—1662no—
1607C22—1662no—
1608C22C23×C4×D8311yescharacteristic
1609C22H(5,𝔽2)×D8311yescharacteristic
1610C22C2×#1458183811yescharacteristic
1611C22C2×#1458183811yescharacteristic
1612C22#1912853611yescharacteristic
1613C22#1912853711yescharacteristic
1614C22#1912853711yescharacteristic
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—3321no—
1629C4—3321no—
1630C4—3321no—
1631C4—3321no—
1632C4—3321no—
1633C4—3321no—
1634C4—3321no—
1635C4—1662no—
1636C4—1662no—
1637C4—1662no—
1638C4—1662no—
1639C4—1662no—
1640C2—42no—
1641C2—42no—
1642C2—3322no—
1643C2—3322no—
1644C2—3322no—
1645C2—3322no—
1646C2#2492066711yescharacteristic
1647C2C4×#1458183811yescharacteristic
1648C2C4×#1458183811yescharacteristic
1649C2#2492163511yescharacteristic
1650C2#2492169911yescharacteristic
1651C2#2492203611yescharacteristic
1652C2#2492204911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2374C2
socle, cosocleC23×C83C25
prime radicalC2×#19128441C2
hypercenter#2374D83
hypocenterC83#34518
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2374

Complements

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

NH ≅ G/Ntype
2. #24910618C2semidirect
3. #24910616C2semidirect
4. #24910605C2semidirect
5. #24910597C2semidirect
6. #24910582C2semidirect
7. #24910577C2semidirect
8. #24910524C2semidirect
9. #24910481C2semidirect
10. #24910477C2semidirect
11. #24910477C2semidirect
12. #24910476C2semidirect
13. #24910445C2semidirect
14. #24910443C2semidirect
15. #24910441C2semidirect
16. #24910243C2semidirect
17. #24910232C2semidirect
18. #24910228C2semidirect
19. #24910228C2semidirect
20. #24910227C2semidirect
21. #24910226C2semidirect
22. #24910184C2semidirect
23. #24910135C2semidirect
24. #24910133C2semidirect
25. #24910125C2semidirect
26. #24910123C2semidirect
27. #24910122C2semidirect
28. C4×#14581774C2semidirect
29. C4×#14581767C2semidirect
30. #24909975C2semidirect
31. C83×#2374C2semidirect
32. #19128441C4semidirect
50. C2×C4×D332C22semidirect
57. C2×(C22⋊D83)⋊C4C22semidirect
58. C2×(C22⋊D83)⋊C4C22semidirect
59. C22×C4⋊Dic83C22semidirect
60. C2×C4⋊C4×D83C22semidirect
64. C2×C42×D83C22semidirect
69. #19127602C22semidirect
74. #19127601C22semidirect
75. #19127601C22semidirect
76. #19127600C22semidirect
77. #19127600C22semidirect
78. #19127599C22semidirect
79. #19127599C22semidirect
80. #19127598C22semidirect
81. #19127596C22semidirect
91. #19127593C22semidirect
92. #19127593C22semidirect
98. #19127592C22semidirect
99. #19127592C22semidirect
102. #19127588C22semidirect
103. #19127587C22semidirect
104. #19127587C22semidirect
105. #19127585C22semidirect
106. #19127584C22semidirect
107. #19127584C22semidirect
108. #19127584C22semidirect
109. #19127584C22semidirect
110. #19127583C22semidirect
111. #19127582C22semidirect
122. #19127579C22semidirect
123. #19127579C22semidirect
127. #19127578C22semidirect
128. #19127578C22semidirect
133. #19127577C22semidirect
134. #19127577C22semidirect
137. #19127576C22semidirect
141. #19127575C22semidirect
142. #19127575C22semidirect
147. #19127565C22semidirect
148. #19127564C22semidirect
149. #19127563C22semidirect
150. #19127563C22semidirect
151. #19127560C22semidirect
152. #19127558C22semidirect
154. C4⋊C4×Dic83C22semidirect
155. C4×Dic83⋊C4C22semidirect
156. C4×Dic83⋊C4C22semidirect
157. C4×C4⋊Dic83C22semidirect
158. C4×C4⋊Dic83C22semidirect
159. #19127552C22semidirect
160. C22⋊C4×Dic83C22semidirect
164. C4×(C2×D83)⋊C4C22semidirect
165. C4×(C2×D83)⋊C4C22semidirect
166. C4×(C2×D83)⋊C4C22semidirect
171. #19127548C22semidirect
172. #19127546C22semidirect
177. #388×C83C22semidirect
178. #388×C83C22semidirect
179. #387×C83C22semidirect
180. #387×C83C22semidirect
182. C4×C4⋊C4×C83C22semidirect
183. C4×C4⋊C4×C83C22semidirect
186. C4×C22⋊C4×C83C22semidirect
187. C4×C22⋊C4×C83C22semidirect
213. #14581788C2×C4semidirect
214. #14581787C2×C4semidirect
215. #14581787C2×C4semidirect
216. #14581774C2×C4semidirect
217. #14581774C2×C4semidirect
218. #14581767C2×C4semidirect
219. #14581767C2×C4semidirect
220. #14581766C2×C4semidirect
221. #14581766C2×C4semidirect
222. #14581765C2×C4semidirect
223. #14581765C2×C4semidirect
224. #14581762C2×C4semidirect
225. #14581762C2×C4semidirect
226. #14581760C2×C4semidirect
343. #123×C83C2×C4semidirect
832. #2374D83semidirect
858. C83#34518semidirect
933. #388C2×D83semidirect
934. #388C2×D83semidirect
945. #387C2×D83semidirect
946. #387C2×D83semidirect
996. C4×C4⋊C4C2×D83semidirect
997. C4×C4⋊C4C2×D83semidirect
1012. C4×C22⋊C4C2×D83semidirect
1013. C4×C22⋊C4C2×D83semidirect
1048. #123C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191284412
#249106182
#249106162
#249106052
#249105972
#249105822
#249105772
#249105242
#249104812
#249104772
#249104762
#249104452
#249104432
#249104412
#249102432
#249102322
#249102282
#249102272
#249102262
#249101842
#249101352
#249101332
#249101252
#249101232
#249101222
C4×#145817742
C4×#145817672
#249099752
C83×#23742
#3451883