Finite Group Databasebeta

← #35564277

Subgroups — #35564277

Order 21248.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128380C211yesmaximal, characteristic
2#24910594C211yesmaximal, characteristic, complemented
3#24910589C211yesmaximal, characteristic, complemented
4#24910583C211yesmaximal, characteristic, complemented
5#24910570C211yesmaximal, characteristic, complemented
6#24910543C211yesmaximal, characteristic, complemented
7#24910540C211yesmaximal, characteristic, complemented
8#24910461C211yesmaximal, characteristic, complemented
9#24910452C211yesmaximal, characteristic, complemented
10#24910443C211yesmaximal, characteristic
11#24910400C211yesmaximal, characteristic, complemented
12#24910320C211yesmaximal, characteristic, complemented
13#24910317C211yesmaximal, characteristic, complemented
14#24910309C211yesmaximal, characteristic, complemented
15#24910306C211yesmaximal, characteristic, complemented
16#24910013C211yesmaximal, characteristic, complemented
17#24910011C211yesmaximal, characteristic, complemented
18#24910004C211yesmaximal, characteristic, complemented
19#24909997C211yesmaximal, characteristic, complemented
20#24909991C211yesmaximal, characteristic, complemented
21#24909990C211yesmaximal, characteristic, complemented
22#24909988C211yesmaximal, characteristic, complemented
23#24909980C211yesmaximal, characteristic, complemented
24#24909968C211yesmaximal, characteristic
25C4×D4×Dic83C211yesmaximal, characteristic, complemented
26C4×(C22⋊D83)⋊C4C211yesmaximal, characteristic, complemented
27#24909802C211yesmaximal, characteristic, complemented
28C4×#14581748C211yesmaximal, characteristic, complemented
29C2×#19127548C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D83C211yesmaximal, characteristic, complemented
31C83×#2353C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33#19128380C4116yescomplemented
34C2×#14581787C2211yescharacteristic
35C2×#14581786C2211yescharacteristic
36C2×#14581778C2211yescharacteristic
37C2×#14581775C2211yescharacteristic
38C2×#14581774C2211yescharacteristic
39C2×#14581773C2211yescharacteristic
40C2×#14581771C2211yescharacteristic
41C2×#14581770C2211yescharacteristic
42C2×#14581760C2211yescharacteristic
43C2×#14581757C2211yescharacteristic, complemented
44C2×D4×Dic83C2211yescharacteristic
45C2×D4×Dic83C2211yescharacteristic
46C2×C4×C22⋊D83C2211yescharacteristic
47C2×(C22⋊D83)⋊C4C2211yescharacteristic
48C2×(C22⋊D83)⋊C4C2211yescharacteristic
49C2×(C22⋊D83)⋊C4C2211yescharacteristic
50C2×#14581749C2211yescharacteristic
51C2×#14581749C2211yescharacteristic
52C2×#14581748C2211yescharacteristic
53C2×#14581748C2211yescharacteristic
54C22×(C2×D83)⋊C4C2211yescharacteristic
55C22×(C2×D83)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D83C2211yescharacteristic
57C2×C22⋊C4×D83C2211yescharacteristic
58C22×C4×Dic83C2211yescharacteristic
59C22×C4×Dic83C2211yescharacteristic
60C22×C4×Dic83C2211yescharacteristic, complemented
61C2×C42×D83C2211yescharacteristic
62C2×C42×D83C2211yescharacteristic
63#19127606C2211yescharacteristic, complemented
64#19127605C2211yescharacteristic, complemented
65#19127605C2211yescharacteristic, complemented
66#19127601C2211yescharacteristic
67#19127598C2211yescharacteristic, complemented
68#19127597C2211yescharacteristic, complemented
69#19127595C2211yescharacteristic, complemented
70#19127595C2211yescharacteristic, complemented
71#19127595C2211yescharacteristic, complemented
72#19127593C2211yescharacteristic
73#19127592C2211yescharacteristic
74#19127592C2211yescharacteristic
75#19127591C2211yescharacteristic
76#19127591C2211yescharacteristic
77#19127590C2211yescharacteristic
78#19127590C2211yescharacteristic
79#19127590C2211yescharacteristic
80#19127590C2211yescharacteristic
81#19127590C2211yescharacteristic
82#19127589C2211yescharacteristic, complemented
83#19127588C2211yescharacteristic, complemented
84#19127588C2211yescharacteristic, complemented
85#19127588C2211yescharacteristic, complemented
86#19127586C2211yescharacteristic, complemented
87#19127586C2211yescharacteristic, complemented
88#19127585C2211yescharacteristic, complemented
89#19127585C2211yescharacteristic, complemented
90#19127583C2211yescharacteristic, complemented
91#19127583C2211yescharacteristic, complemented
92#19127583C2211yescharacteristic, complemented
93#19127583C2211yescharacteristic, complemented
94#19127583C2211yescharacteristic, complemented
95#19127583C2211yescharacteristic, complemented
96#19127583C2211yescharacteristic, complemented
97#19127578C2211yescharacteristic
98#19127577C2211yescharacteristic
99#19127577C2211yescharacteristic
100#19127577C2211yescharacteristic
101#19127575C2211yescharacteristic
102#19127575C2211yescharacteristic
103#19127575C2211yescharacteristic
104#19127574C2211yescharacteristic
105#19127574C2211yescharacteristic
106#19127573C2211yescharacteristic
107#19127573C2211yescharacteristic
108#19127573C2211yescharacteristic, complemented
109#19127572C2211yescharacteristic
110#19127572C2211yescharacteristic
111#19127568C2211yescharacteristic, complemented
112#19127565C2211yescharacteristic, complemented
113#19127563C2211yescharacteristic
114#19127562C2211yescharacteristic
115#19127560C2211yescharacteristic
116#19127556C2211yescharacteristic
117C4⋊C4×Dic83C2211yescharacteristic, complemented
118C4⋊C4×Dic83C2211yescharacteristic, complemented
119C4⋊C4×Dic83C2211yescharacteristic, complemented
120C4×Dic83⋊C4C2211yescharacteristic, complemented
121C4×Dic83⋊C4C2211yescharacteristic, complemented
122C4×Dic83⋊C4C2211yescharacteristic, complemented
123C4×C4⋊Dic83C2211yescharacteristic, complemented
124#19127552C2211yescharacteristic, complemented
125#19127552C2211yescharacteristic, complemented
126#19127552C2211yescharacteristic, complemented
127#19127552C2211yescharacteristic, complemented
128#19127552C2211yescharacteristic, complemented
129#19127552C2211yescharacteristic, complemented
130#19127552C2211yescharacteristic, complemented
131#19127552C2211yescharacteristic, complemented
132#19127552C2211yescharacteristic, complemented
133C22⋊C4×Dic83C2211yescharacteristic
134C22⋊C4×Dic83C2211yescharacteristic
135C22⋊C4×Dic83C2211yescharacteristic
136C22⋊C4×Dic83C2211yescharacteristic
137C22⋊C4×Dic83C2211yescharacteristic, complemented
138C22⋊C4×Dic83C2211yescharacteristic, complemented
139C22⋊C4×Dic83C2211yescharacteristic, complemented
140C22⋊C4×Dic83C2211yescharacteristic, complemented
141C22⋊C4×Dic83C2211yescharacteristic, complemented
142C4×(C2×D83)⋊C4C2211yescharacteristic
143C4×(C2×D83)⋊C4C2211yescharacteristic
144C4×(C2×D83)⋊C4C2211yescharacteristic
145C4×C22⋊Dic83C2211yescharacteristic
146C4×C22⋊Dic83C2211yescharacteristic
147C4×C22⋊Dic83C2211yescharacteristic
148C4×C22⋊Dic83C2211yescharacteristic, complemented
149#19127548C2211yescharacteristic
150#19127548C2211yescharacteristic
151#19127548C2211yescharacteristic
152#19127548C2211yescharacteristic
153#19127548C2211yescharacteristic
154#19127548C2211yescharacteristic
155#19127548C2211yescharacteristic
156#19127548C2211yescharacteristic
157#19127548C2211yescharacteristic
158#19127548C2211yescharacteristic
159#19127548C2211yescharacteristic
160#19127548C2211yescharacteristic
161#19127548C2211yescharacteristic
162#19127548C2211yescharacteristic
163#19127548C2211yescharacteristic
164#19127547C2211yescharacteristic, complemented
165#19127546C2211yescharacteristic, complemented
166#19127546C2211yescharacteristic, complemented
167C2×C83⋊#95C2211yescharacteristic
168#95×D83C2211yescharacteristic
169#95×D83C2211yescharacteristic
170C42×Dic83C2211yescharacteristic, complemented
171C42×Dic83C2211yescharacteristic, complemented
172C42×Dic83C2211yescharacteristic, 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#383×C83C2211yescharacteristic, complemented
181#381×C83C2211yescharacteristic, complemented
182#380×C83C2211yescharacteristic
183C4×C22⋊C4×C83C2211yescharacteristic
184C4×C22⋊C4×C83C2211yescharacteristic
185C4×C22⋊C4×C83C2211yescharacteristic, complemented
186#376×C83C2211yescharacteristic, complemented
187C2×#95×C83C2211yescharacteristic
188C24×D83C2311yescharacteristic
189C22×Dic166C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C23×Dic83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196C23×Dic83C2311yescharacteristic
197C22×C4×D83—24no—
198C22×C4×D83—24no—
199C22×C4×D83—42no—
200C22×C4×D83C2311yescharacteristic
201C22×C4×D83C2311yescharacteristic
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208#14581787C2×C418yescomplemented
209#14581786C2×C418yescomplemented
210#14581778C2×C418yescomplemented
211#14581775C2×C418yescomplemented
212#14581774C2×C418yescomplemented
213#14581773C2×C418yescomplemented
214#14581771C2×C418yescomplemented
215#14581770C2×C418yescomplemented
216#14581760C2×C418yes—
217#14581757—42no—
218D4×Dic83—24no—
219D4×Dic83—24no—
220C4×C22⋊D83C2×C418yescomplemented
221(C22⋊D83)⋊C4—24no—
222(C22⋊D83)⋊C4—24no—
223(C22⋊D83)⋊C4—42no—
224#14581749—24no—
225#14581749C2×C418yescomplemented
226#14581748—24no—
227#14581748C2×C418yescomplemented
228C2×C4⋊Dic83C2311yescharacteristic
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×(C2×D83)⋊C4—24no—
256C2×(C2×D83)⋊C4C2×C418yescomplemented
257C2×(C2×D83)⋊C4C2311yescharacteristic
258C2×(C2×D83)⋊C4C2311yescharacteristic
259C2×(C2×D83)⋊C4C2311yescharacteristic
260C2×(C2×D83)⋊C4C2311yescharacteristic
261C2×(C2×D83)⋊C4C2311yescharacteristic
262C2×(C2×D83)⋊C4C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C22⋊C4×D83—24no—
276C22⋊C4×D83C2×C418yescomplemented
277C2×C4×Dic83—24no—
278C2×C4×Dic83—42no—
279C2×C4×Dic83—42no—
280C2×C4×Dic83C2311yescharacteristic
281C2×C4×Dic83C2311yescharacteristic
282C2×C4×Dic83C2311yescharacteristic
283C2×C4×Dic83C2311yescharacteristic
284C2×C4×Dic83C2311yescharacteristic
285C2×C4×Dic83C2311yescharacteristic
286C2×C4×Dic83C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C2×C4×Dic83C2311yescharacteristic
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C2×C4×Dic83C2311yescharacteristic
305C2×C4×Dic83C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
308C42×D83—24no—
309C42×D83—42no—
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C22×D4×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343C23×C4×C83C2311yescharacteristic
344C23×C4×C83C2311yescharacteristic
345C4×D4×C83C2×C418yescomplemented
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C42×C83C2311yescharacteristic
358C2×C42×C83C2311yescharacteristic
359C2×C42×C83C2311yescharacteristic
360C2×C42×C83C2311yescharacteristic
361C2×C42×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369#95×C83C2311yescharacteristic
370#95×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375#95×C83C2311yescharacteristic
376C23×D83—22no—
377C23×D83—22no—
378C23×D83—22no—
379C23×D83—22no—
380C23×D83—41no—
381C23×D83—41no—
382C23×D83C22×C414yes—
383C23×D83C2411yescharacteristic
384C23×D83C2411yescharacteristic
385C2×Dic166—41no—
386C2×Dic166—41no—
387C2×Dic166C22×C414yescomplemented
388C2×C22⋊D83—22no—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—41no—
391C2×C22⋊D83—41no—
392C2×C22⋊D83C22×C414yes—
393C2×C22⋊D83C22×C414yes—
394C22×Dic83—22no—
395C22×Dic83—22no—
396C22×Dic83—22no—
397C22×Dic83—22no—
398C22×Dic83—22no—
399C22×Dic83—22no—
400C22×Dic83—22no—
401C22×Dic83—22no—
402C22×Dic83—22no—
403C22×Dic83—22no—
404C22×Dic83—22no—
405C22×Dic83—41no—
406C22×Dic83—41no—
407C22×Dic83C22×C414yes—
408C22×Dic83#4114yes—
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C2×C4×D83—22no—
424C2×C4×D83—22no—
425C2×C4×D83—22no—
426C2×C4×D83—22no—
427C2×C4×D83—22no—
428C2×C4×D83—22no—
429C2×C4×D83—22no—
430C2×C4×D83—22no—
431C2×C4×D83—22no—
432C2×C4×D83—22no—
433C2×C4×D83—22no—
434C2×C4×D83—22no—
435C2×C4×D83—22no—
436C2×C4×D83—22no—
437C2×C4×D83—22no—
438C2×C4×D83—416no—
439C2×C4×D83—41no—
440C2×C4×D83—41no—
441C2×C4×D83—41no—
442C2×C4×D83—41no—
443C2×C4×D83—41no—
444C2×C4×D83—41no—
445C2×C4×D83C22×C414yes—
446C2×C4×D83C22×C414yes—
447C2×C4×D83#4114yes—
448C4⋊Dic83—22no—
449C4⋊Dic83—22no—
450C4⋊Dic83C22×C414yescomplemented
451Dic83⋊C4—22no—
452Dic83⋊C4—22no—
453Dic83⋊C4—22no—
454Dic83⋊C4—22no—
455Dic83⋊C4—22no—
456Dic83⋊C4—22no—
457Dic83⋊C4—41no—
458Dic83⋊C4—41no—
459Dic83⋊C4—41no—
460Dic83⋊C4—41no—
461Dic83⋊C4C22×C414yescomplemented
462Dic83⋊C4C22×C414yescomplemented
463Dic83⋊C4C22×C414yescomplemented
464Dic83⋊C4C22×C414yescomplemented
465Dic83⋊C4C22×C414yescomplemented
466Dic83⋊C4C22×C414yescomplemented
467C22⋊Dic83—22no—
468C22⋊Dic83—22no—
469C22⋊Dic83—22no—
470C22⋊Dic83C22×C414yes—
471C22⋊Dic83C22×C414yes—
472C22⋊Dic83C22×C414yescomplemented
473C22⋊Dic83C22×C414yescomplemented
474C22⋊Dic83#4114yes—
475(C2×D83)⋊C4—22no—
476(C2×D83)⋊C4—22no—
477(C2×D83)⋊C4—22no—
478(C2×D83)⋊C4—22no—
479(C2×D83)⋊C4—22no—
480(C2×D83)⋊C4—22no—
481(C2×D83)⋊C4—22no—
482(C2×D83)⋊C4—41no—
483(C2×D83)⋊C4—41no—
484(C2×D83)⋊C4C22×C414yes—
485(C2×D83)⋊C4C22×C414yes—
486(C2×D83)⋊C4C22×C414yes—
487(C2×D83)⋊C4C22×C414yes—
488(C2×D83)⋊C4C22×C414yes—
489(C2×D83)⋊C4C22×C414yes—
490(C2×D83)⋊C4C22×C414yes—
491(C2×D83)⋊C4C22×C414yes—
492(C2×D83)⋊C4#4114yes—
493C4×Dic83—22no—
494C4×Dic83—22no—
495C4×Dic83—22no—
496C4×Dic83—22no—
497C4×Dic83—22no—
498C4×Dic83—22no—
499C4×Dic83—22no—
500C4×Dic83—22no—
501C4×Dic83—22no—
502C4×Dic83—22no—
503C4×Dic83—22no—
504C4×Dic83—22no—
505C4×Dic83—22no—
506C4×Dic83—22no—
507C4×Dic83—22no—
508C4×Dic83—22no—
509C4×Dic83—22no—
510C4×Dic83—22no—
511C4×Dic83—22no—
512C4×Dic83—41no—
513C4×Dic83—41no—
514C4×Dic83—41no—
515C4×Dic83—41no—
516C4×Dic83—41no—
517C4×Dic83—41no—
518C4×Dic83—41no—
519C4×Dic83C22×C414yescomplemented
520C4×Dic83C22×C414yescomplemented
521C24×C83C2411yescharacteristic
522C24×C83C2411yescharacteristic
523C2×D4×C83—22no—
524C2×D4×C83—22no—
525C2×D4×C83C22×C414yes—
526C22×C4×C83—22no—
527C22×C4×C83—22no—
528C22×C4×C83—22no—
529C22×C4×C83—22no—
530C22×C4×C83—41no—
531C22×C4×C83—41no—
532C22×C4×C83—41no—
533C22×C4×C83—41no—
534C22×C4×C83—41no—
535C22×C4×C83—41no—
536C22×C4×C83C22×C414yes—
537C22×C4×C83C22×C414yescomplemented
538C22×C4×C83C2411yescharacteristic
539C22×C4×C83C2411yescharacteristic
540C22×C4×C83C2411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C22×C4×C83C2411yescharacteristic
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C22×C4×C83C2411yescharacteristic
551C4⋊C4×C83—41no—
552C4⋊C4×C83—41no—
553C4⋊C4×C83C22×C414yescomplemented
554C22⋊C4×C83—22no—
555C22⋊C4×C83—22no—
556C22⋊C4×C83—22no—
557C22⋊C4×C83—22no—
558C22⋊C4×C83—41no—
559C22⋊C4×C83—41no—
560C22⋊C4×C83C22×C414yes—
561C22⋊C4×C83C22×C414yescomplemented
562C42×C83—22no—
563C42×C83—22no—
564C42×C83—41no—
565C42×C83—41no—
566C42×C83C22×C414yescomplemented
567C23×C83—21no—
568C23×C83—21no—
569C23×C83—21no—
570C23×C83—21no—
571C23×C83—21no—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83C23×C412yes—
578C23×C83C23×C412yes—
579C23×C83C2×#4112yes—
580C23×C83C2×#4112yes—
581C23×C83C2511yescharacteristic
582C22×D83—21no—
583C22×D83—21no—
584C22×D83—21no—
585C22×D83—21no—
586C22×D83—28no—
587C22×D83—21no—
588C22×D83—21no—
589C22×D83—21no—
590C22×D83—21no—
591C22×D83—21no—
592C22×D83—21no—
593C22×D83—28no—
594C22×D83—44no—
595C22×D83—44no—
596C22×D83—44no—
597C22×D83—44no—
598C22×D83—44no—
599C22×D83C23×C412yes—
600C22×D83C23×C412yes—
601C22×D83C2×#4112yes—
602C22×D83C2×#4112yes—
603D4×C83—28no—
604C2×C4×C83—21no—
605C2×C4×C83—21no—
606C2×C4×C83—21no—
607C2×C4×C83—21no—
608C2×C4×C83—21no—
609C2×C4×C83—21no—
610C2×C4×C83—21no—
611C2×C4×C83—21no—
612C2×C4×C83—21no—
613C2×C4×C83—21no—
614C2×C4×C83—21no—
615C2×C4×C83—21no—
616C2×C4×C83—21no—
617C2×C4×C83—21no—
618C2×C4×C83—21no—
619C2×C4×C83—21no—
620C2×C4×C83—21no—
621C2×C4×C83—21no—
622C2×C4×C83—21no—
623C2×C4×C83—21no—
624C2×C4×C83—21no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—44no—
637C2×C4×C83—44no—
638C2×C4×C83—44no—
639C2×C4×C83—44no—
640C2×C4×C83C23×C412yes—
641C2×C4×C83C23×C412yes—
642C2×C4×C83C23×C412yes—
643C2×C4×C83C23×C412yes—
644C2×C4×C83C23×C412yes—
645C2×C4×C83C2×#4112yes—
646C2×C4×C83C2×#4112yes—
647C22⋊D83—28no—
648C22⋊D83—44no—
649C2×Dic83—28no—
650C2×Dic83—21no—
651C2×Dic83—21no—
652C2×Dic83—21no—
653C2×Dic83—21no—
654C2×Dic83—21no—
655C2×Dic83—21no—
656C2×Dic83—21no—
657C2×Dic83—21no—
658C2×Dic83—21no—
659C2×Dic83—21no—
660C2×Dic83—21no—
661C2×Dic83—21no—
662C2×Dic83—21no—
663C2×Dic83—21no—
664C2×Dic83—21no—
665C2×Dic83—21no—
666C2×Dic83—21no—
667C2×Dic83—21no—
668C2×Dic83—21no—
669C2×Dic83—21no—
670C2×Dic83—28no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—44no—
681C2×Dic83—44no—
682C2×Dic83—44no—
683C2×Dic83C23×C412yes—
684C2×Dic83C23×C412yes—
685C2×Dic83C23×C412yes—
686C2×Dic83C23×C412yes—
687C2×Dic83C23×C412yes—
688C2×Dic83C23×C412yes—
689C2×Dic83C2×#4112yes—
690C2×Dic83C2×#4112yes—
691C2×Dic83C2×#4112yes—
692C2×Dic83C2×#4112yes—
693C2×Dic83C2×#4112yes—
694C2×Dic83C2×#4112yes—
695C2×Dic83H(5,𝔽2)12yes—
696C4×D83—28no—
697C4×D83—28no—
698C4×D83—44no—
699C4×D83—44no—
700C4×D83—44no—
701C4×D83—44no—
702C4×D83—44no—
703C4×D83—44no—
704Dic166—44no—
705C22×C83—22no—
706C22×C83—22no—
707C22×C83—22no—
708C22×C83—22no—
709C22×C83—22no—
710C22×C83—22no—
711C22×C83—22no—
712C22×C83—22no—
713C22×C83—22no—
714C22×C83—41no—
715C22×C83—41no—
716C22×C83—41no—
717C22×C83—41no—
718C22×C83C4×#4114yes—
719C22×C83C24×C411yescharacteristic
720C22×C83C22×#4111yescharacteristic
721C22×C83C22×#4111yescharacteristic
722C22×C83C22×#4111yescharacteristic
723C22×C83C22×#4111yescharacteristic
724C22×C83C2×H(5,𝔽2)11yescharacteristic
725C22×C83#58511yescharacteristic
726C2×D83—22no—
727C2×D83—22no—
728C2×D83—22no—
729C2×D83—22no—
730C2×D83—22no—
731C2×D83—22no—
732C2×D83—22no—
733C2×D83—22no—
734C2×D83—22no—
735C2×D83—416no—
736C2×D83—41no—
737C2×D83—41no—
738C2×D83—41no—
739C2×D83—41no—
740C2×D83C4×#4114yes—
741C4×C83—22no—
742C4×C83—22no—
743C4×C83—22no—
744C4×C83—22no—
745C4×C83—22no—
746C4×C83—22no—
747C4×C83—22no—
748C4×C83—41no—
749C4×C83—41no—
750C4×C83—41no—
751C4×C83—41no—
752C4×C83—41no—
753C4×C83—41no—
754Dic83—22no—
755Dic83—22no—
756Dic83—22no—
757Dic83—22no—
758Dic83—22no—
759Dic83—22no—
760Dic83—22no—
761Dic83—22no—
762Dic83—22no—
763Dic83—22no—
764Dic83—41no—
765Dic83—41no—
766Dic83—41no—
767Dic83#55114yescomplemented
768C4×#551—831nomaximal, Sylow
769C2×C83—24no—
770C2×C83—42no—
771C2×C83C2×C4×#4111yescharacteristic
772C2×C83C2×C4×#4111yescharacteristic
773C2×C83C4×H(5,𝔽2)11yescharacteristic
774C2×C83C2×#55111yescharacteristic
775C2×C83#347511yescharacteristic
776C2×C83#347511yescharacteristic
777C2×C83#348111yescharacteristic
778D83—24no—
779D83—42no—
780C2×#551—831no—
781#2374—831no—
782#2373—831no—
783#2373—831no—
784#2372—831no—
785#2368—831no—
786#2368—831no—
787#2359—831no—
788#2359—831no—
789#2358—831no—
790#2353—831no—
791#2353D8311yescharacteristic, complemented
792#2343—831no—
793#2343—831no—
794#2342—831no—
795#2342—831no—
796C4×#126—831no—
797C4×#126—831no—
798C4×#124—831no—
799C4×C22⋊Q8—831no—
800C4×C22⋊Q8—831no—
801C4×#123—831no—
802C4×#123—831no—
803C4×#123—831no—
804C4×#120—831no—
805C42×D4—831no—
806C42×D4—831no—
807C4×#117—831no—
808C4×#117—831no—
809C2×C4×C22⋊C4—831no—
810C2×C4×C22⋊C4—831no—
811C83C4×#55111yescharacteristic, complemented, Sylow
812C24×C4—831no—
813#551—8316no—
814C2×#126—831no—
815C2×#126—831no—
816C2×#124—831no—
817C2×#123—831no—
818C2×#123—831no—
819C2×#123—831no—
820C2×C22⋊Q8—831no—
821C2×C22⋊Q8—831no—
822C2×#120—831no—
823C2×C4×Q8—831no—
824C2×C4×D4—831no—
825C2×C4×D4—831no—
826C2×C4×D4—831no—
827C2×C4×D4—831no—
828C2×C4×D4—831no—
829C2×C4×D4—831no—
830C2×C4×D4C2×D8311yescharacteristic
831C2×#117—831no—
832C2×#117—831no—
833C2×#117—831no—
834C2×#117—831no—
835C22×C22⋊C4—831no—
836C22×C22⋊C4—831no—
837C22×C22⋊C4—831no—
838C22×C22⋊C4—831no—
839C22×C42—831no—
840C22×C42—831no—
841C22×C42—831no—
842C22×C42—831no—
843C22×C42—831no—
844#391—831no—
845#391—831no—
846#391—831no—
847#390—831no—
848#389—831no—
849#389—831no—
850#388—831no—
851#388—831no—
852#388—831no—
853#388—831no—
854#388—831no—
855#388—831no—
856#388—831no—
857#388—831no—
858#388—831no—
859#388—831no—
860#388—831no—
861#388—831no—
862#388—831no—
863#388—831no—
864#388C2×D8311yescharacteristic, complemented
865#388C2×D8311yescharacteristic, complemented
866#387—831no—
867#387—831no—
868#387—831no—
869#387—831no—
870#387—831no—
871#387—831no—
872#387—831no—
873#387—831no—
874#387—831no—
875#387—831no—
876#387—831no—
877#387—831no—
878#387—831no—
879#387—831no—
880#387C2×D8311yescharacteristic, complemented
881#387C2×D8311yescharacteristic, complemented
882#386—831no—
883#386—831no—
884#386—831no—
885#386—831no—
886#386C2×D8311yescharacteristic
887#386C2×D8311yescharacteristic
888#385—831no—
889#385—831no—
890#385—831no—
891#385—831no—
892#385—831no—
893#385—831no—
894#385—831no—
895#385—831no—
896#385—831no—
897#385—831no—
898#383—831no—
899#383C2×D8311yescharacteristic, complemented
900#382—831no—
901#381—831no—
902#381—831no—
903#381C2×D8311yescharacteristic, complemented
904#380—831no—
905#380C2×D8311yescharacteristic
906#379—831no—
907C4×C4⋊C4—831no—
908C4×C4⋊C4—831no—
909C4×C4⋊C4—831no—
910C4×C4⋊C4—831no—
911C4×C4⋊C4—831no—
912C4×C4⋊C4—831no—
913C4×C4⋊C4—831no—
914C4×C4⋊C4—831no—
915C4×C4⋊C4—831no—
916C4×C4⋊C4—831no—
917C4×C4⋊C4—831no—
918C4×C4⋊C4—831no—
919C4×C4⋊C4—831no—
920C4×C4⋊C4—831no—
921C4×C4⋊C4—831no—
922C4×C4⋊C4—831no—
923C4×C22⋊C4—831no—
924C4×C22⋊C4—831no—
925C4×C22⋊C4—831no—
926C4×C22⋊C4—831no—
927C4×C22⋊C4—831no—
928C4×C22⋊C4—831no—
929C4×C22⋊C4—831no—
930C4×C22⋊C4—831no—
931C4×C22⋊C4—831no—
932C4×C22⋊C4—831no—
933C4×C22⋊C4—831no—
934C4×C22⋊C4—831no—
935C4×C22⋊C4—831no—
936C4×C22⋊C4—831no—
937C4×C22⋊C4—831no—
938C4×C22⋊C4—831no—
939C4×C22⋊C4—831no—
940C4×C22⋊C4—831no—
941C4×C22⋊C4—831no—
942C4×C22⋊C4—831no—
943C4×C22⋊C4—831no—
944C4×C22⋊C4—831no—
945C4×C22⋊C4—831no—
946C4×C22⋊C4—831no—
947C4×C22⋊C4—831no—
948C4×C22⋊C4—831no—
949C4×C22⋊C4—831no—
950C4×C22⋊C4—831no—
951C4×C22⋊C4—831no—
952C4×C22⋊C4—831no—
953C4×C22⋊C4—831no—
954C4×C22⋊C4C2×D8311yescharacteristic
955C4×C22⋊C4C2×D8311yescharacteristic
956C4×C22⋊C4C2×D8311yescharacteristic, complemented
957#376—831no—
958#376—831no—
959#376—831no—
960#376C2×D8311yescharacteristic, complemented
961C2×#95—831no—
962C2×#95—831no—
963C2×#95—831no—
964C2×#95C2×D8311yescharacteristic
965C43—831no—
966C43—831no—
967C43—831no—
968C25—831no—
969C22×Q8—831no—
970C22×D4—831no—
971C22×D4—831no—
972C22×D4C22×D8311yescharacteristic
973C23×C4—3322no—
974C23×C4—831no—
975C23×C4—831no—
976C23×C4—831no—
977C23×C4—831no—
978C23×C4—831no—
979C23×C4—831no—
980C23×C4—831no—
981C23×C4—831no—
982C23×C4—831no—
983C23×C4—831no—
984C23×C4—831no—
985C23×C4—831no—
986C23×C4—831no—
987C23×C4—1664no—
988C23×C4—1664no—
989C23×C4C22×D8311yescharacteristic
990C23×C4C22×D8311yescharacteristic
991C23×C4C22×D8311yescharacteristic
992C23×C4C22×D8311yescharacteristic
993#126—838no—
994#126—838no—
995#124—838no—
996#123—838no—
997#123—838no—
998#123—838no—
999C22⋊Q8—838no—
1000C22⋊Q8—838no—
1001#120—838no—
1002C4×Q8—3322no—
1003C4×D4—3322no—
1004C4×D4—838no—
1005C4×D4—1664no—
1006C4×D4—1664no—
1007C4×D4—1664no—
1008C4×D4—1664no—
1009C4×D4C4×D8318yescomplemented
1010#117—838no—
1011#117—838no—
1012#117—1664no—
1013#117—1664no—
1014C2×C4⋊C4—831no—
1015C2×C4⋊C4—831no—
1016C2×C4⋊C4—831no—
1017C2×C4⋊C4—831no—
1018C2×C4⋊C4—831no—
1019C2×C4⋊C4—831no—
1020C2×C4⋊C4—831no—
1021C2×C4⋊C4—831no—
1022C2×C4⋊C4—831no—
1023C2×C4⋊C4—831no—
1024C2×C4⋊C4—831no—
1025C2×C4⋊C4—831no—
1026C2×C4⋊C4—831no—
1027C2×C4⋊C4—831no—
1028C2×C4⋊C4—831no—
1029C2×C4⋊C4—831no—
1030C2×C4⋊C4—831no—
1031C2×C4⋊C4—831no—
1032C2×C4⋊C4—831no—
1033C2×C4⋊C4C22×D8311yescharacteristic
1034C2×C4⋊C4C22×D8311yescharacteristic
1035C2×C4⋊C4C22×D8311yescharacteristic
1036C2×C22⋊C4—831no—
1037C2×C22⋊C4—831no—
1038C2×C22⋊C4—831no—
1039C2×C22⋊C4—831no—
1040C2×C22⋊C4—831no—
1041C2×C22⋊C4—831no—
1042C2×C22⋊C4—831no—
1043C2×C22⋊C4—838no—
1044C2×C22⋊C4—831no—
1045C2×C22⋊C4—831no—
1046C2×C22⋊C4—831no—
1047C2×C22⋊C4—831no—
1048C2×C22⋊C4—831no—
1049C2×C22⋊C4—831no—
1050C2×C22⋊C4—831no—
1051C2×C22⋊C4—831no—
1052C2×C22⋊C4—831no—
1053C2×C22⋊C4—838no—
1054C2×C22⋊C4—831no—
1055C2×C22⋊C4—831no—
1056C2×C22⋊C4—831no—
1057C2×C22⋊C4—831no—
1058C2×C22⋊C4—831no—
1059C2×C22⋊C4—831no—
1060C2×C22⋊C4—831no—
1061C2×C22⋊C4—831no—
1062C2×C22⋊C4—831no—
1063C2×C22⋊C4—831no—
1064C2×C22⋊C4—1664no—
1065C2×C22⋊C4—1664no—
1066C2×C22⋊C4C22×D8311yescharacteristic
1067C2×C22⋊C4C22×D8311yescharacteristic
1068C2×C22⋊C4C22×D8311yescharacteristic
1069C2×C22⋊C4C22×D8311yescharacteristic
1070C2×C22⋊C4C22×D8311yescharacteristic
1071C2×C22⋊C4C22×D8311yescharacteristic
1072C2×C22⋊C4C22×D8311yescharacteristic
1073C2×C22⋊C4C22×D8311yescharacteristic
1074C2×C42—3322no—
1075C2×C42—3322no—
1076C2×C42—3322no—
1077C2×C42—831no—
1078C2×C42—831no—
1079C2×C42—831no—
1080C2×C42—831no—
1081C2×C42—831no—
1082C2×C42—831no—
1083C2×C42—831no—
1084C2×C42—831no—
1085C2×C42—831no—
1086C2×C42—831no—
1087C2×C42—831no—
1088C2×C42—831no—
1089C2×C42—831no—
1090C2×C42—831no—
1091C2×C42—831no—
1092C2×C42—831no—
1093C2×C42—831no—
1094C2×C42—831no—
1095C2×C42—831no—
1096C2×C42—831no—
1097C2×C42—831no—
1098C2×C42—831no—
1099C2×C42—831no—
1100C2×C42—831no—
1101C2×C42—831no—
1102C2×C42—831no—
1103C2×C42—831no—
1104C2×C42—831no—
1105C2×C42—1664no—
1106C2×C42—1664no—
1107C2×C42C22×D8311yescharacteristic
1108C2×C42C22×D8311yescharacteristic
1109C2×C42C22×D8311yescharacteristic
1110C2×C42C22×D8311yescharacteristic
1111C2×C42C22×D8311yescharacteristic
1112#95—831no—
1113#95—831no—
1114#95—831no—
1115#95—831no—
1116#95—831no—
1117#95—831no—
1118#95—831no—
1119#95—831no—
1120#95—831no—
1121#95—831no—
1122#95—831no—
1123#95—831no—
1124#95—831no—
1125#95—831no—
1126#95—831no—
1127#95—831no—
1128#95—831no—
1129#95—831no—
1130#95—831no—
1131#95—831no—
1132#95—831no—
1133#95—831no—
1134#95—831no—
1135#95—831no—
1136#95—831no—
1137#95—831no—
1138#95—831no—
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95C22×D8311yescharacteristic
1143#95C22×D8311yescharacteristic
1144#95C22×D8311yescharacteristic
1145#95C22×D8311yescharacteristic
1146#95C22×D8311yescharacteristic
1147#95C22×D8311yescharacteristic
1148#95C22×D8311yescharacteristic
1149#95C22×D8311yescharacteristic
1150#95C22×D8311yescharacteristic
1151#95C22×D8311yescharacteristic
1152#95C22×D8311yescharacteristic
1153#95C22×D8311yescharacteristic
1154#95C22×D8311yescharacteristic
1155#95C22×D8311yescharacteristic
1156C24—3321no—
1157C24—3321no—
1158C24—834no—
1159C24—831no—
1160C24—831no—
1161C24—1662no—
1162C24—1662no—
1163C24—1662no—
1164C24—1662no—
1165C24C23×D8311yescharacteristic
1166C24C23×D8311yescharacteristic
1167C2×Q8—3321no—
1168C2×Q8—3321no—
1169C2×Q8—834no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—3321no—
1173C2×D4—3321no—
1174C2×D4—834no—
1175C2×D4—834no—
1176C2×D4—1662no—
1177C2×D4—1662no—
1178C2×D4C2×C4×D8314yes—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—3321no—
1190C22×C4—3321no—
1191C22×C4—3321no—
1192C22×C4—3321no—
1193C22×C4—3321no—
1194C22×C4—3321no—
1195C22×C4—33216no—
1196C22×C4—3321no—
1197C22×C4—3321no—
1198C22×C4—834no—
1199C22×C4—831no—
1200C22×C4—834no—
1201C22×C4—834no—
1202C22×C4—831no—
1203C22×C4—831no—
1204C22×C4—831no—
1205C22×C4—831no—
1206C22×C4—831no—
1207C22×C4—831no—
1208C22×C4—831no—
1209C22×C4—831no—
1210C22×C4—831no—
1211C22×C4—831no—
1212C22×C4—834no—
1213C22×C4—834no—
1214C22×C4—831no—
1215C22×C4—831no—
1216C22×C4—831no—
1217C22×C4—1662no—
1218C22×C4—1662no—
1219C22×C4—1662no—
1220C22×C4—1662no—
1221C22×C4—1662no—
1222C22×C4—1662no—
1223C22×C4—1662no—
1224C22×C4—1662no—
1225C22×C4—1662no—
1226C22×C4—1662no—
1227C22×C4—1662no—
1228C22×C4—1662no—
1229C22×C4—1662no—
1230C22×C4—1662no—
1231C22×C4—1662no—
1232C22×C4—1662no—
1233C22×C4—1662no—
1234C22×C4—1662no—
1235C22×C4—1662no—
1236C22×C4—1662no—
1237C22×C4—1662no—
1238C22×C4—1662no—
1239C22×C4—1662no—
1240C22×C4—1662no—
1241C22×C4—1662no—
1242C22×C4—1662no—
1243C22×C4C2×C4×D8314yes—
1244C22×C4C2×C4×D8314yescomplemented
1245C22×C4C23×D8311yescharacteristic
1246C22×C4C23×D8311yescharacteristic
1247C22×C4C23×D8311yescharacteristic
1248C22×C4C23×D8311yescharacteristic
1249C22×C4C23×D8311yescharacteristic
1250C22×C4C23×D8311yescharacteristic
1251C22×C4C23×D8311yescharacteristic
1252C22×C4C23×D8311yescharacteristic
1253C22×C4C23×D8311yescharacteristic
1254C22×C4C23×D8311yescharacteristic
1255C22×C4C23×D8311yescharacteristic
1256C22×C4C23×D8311yescharacteristic
1257C22×C4C23×D8311yescharacteristic
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—3321no—
1261C4⋊C4—3321no—
1262C4⋊C4—3321no—
1263C4⋊C4—3321no—
1264C4⋊C4—834no—
1265C4⋊C4—834no—
1266C4⋊C4—834no—
1267C4⋊C4—834no—
1268C4⋊C4—834no—
1269C4⋊C4—834no—
1270C4⋊C4—834no—
1271C4⋊C4—1662no—
1272C4⋊C4—1662no—
1273C4⋊C4—1662no—
1274C4⋊C4—1662no—
1275C4⋊C4—1662no—
1276C4⋊C4—1662no—
1277C4⋊C4—1662no—
1278C4⋊C4—1662no—
1279C4⋊C4C2×C4×D8314yescomplemented
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—3321no—
1287C22⋊C4—3321no—
1288C22⋊C4—834no—
1289C22⋊C4—834no—
1290C22⋊C4—834no—
1291C22⋊C4—834no—
1292C22⋊C4—834no—
1293C22⋊C4—834no—
1294C22⋊C4—834no—
1295C22⋊C4—834no—
1296C22⋊C4—834no—
1297C22⋊C4—834no—
1298C22⋊C4—834no—
1299C22⋊C4—834no—
1300C22⋊C4—834no—
1301C22⋊C4—834no—
1302C22⋊C4—1662no—
1303C22⋊C4—1662no—
1304C22⋊C4—1662no—
1305C22⋊C4—1662no—
1306C22⋊C4—1662no—
1307C22⋊C4—1662no—
1308C22⋊C4—1662no—
1309C22⋊C4—1662no—
1310C22⋊C4—1662no—
1311C22⋊C4—1662no—
1312C22⋊C4C2×C4×D8314yes—
1313C22⋊C4C2×C4×D8314yescomplemented
1314C42—22no—
1315C42—22no—
1316C42—41no—
1317C42—41no—
1318C42—3321no—
1319C42—3321no—
1320C42—3321no—
1321C42—3321no—
1322C42—3321no—
1323C42—3321no—
1324C42—3321no—
1325C42—834no—
1326C42—834no—
1327C42—1662no—
1328C42—1662no—
1329C42—1662no—
1330C42—1662no—
1331C42—1662no—
1332C42—1662no—
1333C42—1662no—
1334C42—1662no—
1335C42—1662no—
1336C42—1662no—
1337C42—1662no—
1338C42—1662no—
1339C42—1662no—
1340C42—1662no—
1341C42—1662no—
1342C42—1662no—
1343C42—1662no—
1344C42—1662no—
1345C42—1662no—
1346C42C2×C4×D8314yescomplemented
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—3324no—
1358C23—3324no—
1359C23—3324no—
1360C23—3324no—
1361C23—3324no—
1362C23—832no—
1363C23—832no—
1364C23—832no—
1365C23—832no—
1366C23—1668no—
1367C23—1668no—
1368C23—1661no—
1369C23—1661no—
1370C23—1661no—
1371C23—1661no—
1372C23—1661no—
1373C23—1661no—
1374C23—1661no—
1375C23—1661no—
1376C23—1661no—
1377C23—1661no—
1378C23C22×C4×D8312yes—
1379C23C22×C4×D8312yes—
1380C23#41×D8312yes—
1381C23#41×D8312yes—
1382C23C24×D8311yescharacteristic
1383Q8—3324no—
1384D4—28no—
1385D4—3324no—
1386D4—1668no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—3324no—
1424C2×C4—3324no—
1425C2×C4—3324no—
1426C2×C4—3324no—
1427C2×C4—3324no—
1428C2×C4—3324no—
1429C2×C4—3324no—
1430C2×C4—3324no—
1431C2×C4—3324no—
1432C2×C4—832no—
1433C2×C4—832no—
1434C2×C4—832no—
1435C2×C4—832no—
1436C2×C4—832no—
1437C2×C4—832no—
1438C2×C4—832no—
1439C2×C4—832no—
1440C2×C4—832no—
1441C2×C4—832no—
1442C2×C4—832no—
1443C2×C4—832no—
1444C2×C4—832no—
1445C2×C4—1668no—
1446C2×C4—1668no—
1447C2×C4—1661no—
1448C2×C4—1661no—
1449C2×C4—1661no—
1450C2×C4—1661no—
1451C2×C4—1661no—
1452C2×C4—1661no—
1453C2×C4—1661no—
1454C2×C4—1661no—
1455C2×C4—1661no—
1456C2×C4—1668no—
1457C2×C4—1668no—
1458C2×C4—1661no—
1459C2×C4—1661no—
1460C2×C4—1661no—
1461C2×C4—1661no—
1462C2×C4—1661no—
1463C2×C4—1661no—
1464C2×C4—1661no—
1465C2×C4—1661no—
1466C2×C4—1661no—
1467C2×C4—1661no—
1468C2×C4—1661no—
1469C2×C4—1661no—
1470C2×C4—1661no—
1471C2×C4—1661no—
1472C2×C4—1661no—
1473C2×C4—1661no—
1474C2×C4—1661no—
1475C2×C4—1661no—
1476C2×C4—1661no—
1477C2×C4—1661no—
1478C2×C4C22×C4×D8312yes—
1479C2×C4C22×C4×D8312yes—
1480C2×C4C22×C4×D8312yes—
1481C2×C4C22×C4×D8312yes—
1482C2×C4C22×C4×D8312yes—
1483C2×C4#41×D8312yes—
1484C2×C4#41×D8312yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—33216no—
1499C22—3321no—
1500C22—3321no—
1501C22—3321no—
1502C22—3321no—
1503C22—834no—
1504C22—1662no—
1505C22—1662no—
1506C22—1662no—
1507C22—1662no—
1508C22—1662no—
1509C22—1662no—
1510C22—1662no—
1511C22—1662no—
1512C22—1662no—
1513C22#1912816914yes—
1514C22C23×C4×D8311yescharacteristic
1515C22C2×#41×D8311yescharacteristic
1516C22C2×#41×D8311yescharacteristic
1517C22C2×#41×D8311yescharacteristic
1518C22C2×#41×D8311yescharacteristic
1519C22H(5,𝔽2)×D8311yescharacteristic
1520C22#1912853611yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—3321no—
1535C4—3321no—
1536C4—3321no—
1537C4—834no—
1538C4—1662no—
1539C4—1662no—
1540C4—1662no—
1541C4—1662no—
1542C4—1662no—
1543C4—1662no—
1544C4—1662no—
1545C4—1662no—
1546C4—1662no—
1547C4—1662no—
1548C2—24no—
1549C2—42no—
1550C2—3322no—
1551C2—1664no—
1552C2C4×#41×D8311yescharacteristic
1553C2C2×#1912816911yescharacteristic
1554C2#2492066711yescharacteristic
1555C2#551×D8311yescharacteristic
1556C2#2492101811yescharacteristic
1557C2#2492102211yescharacteristic
1558C2#2492107011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2353C2
socle, cosocleC23×C83C25
prime radicalC2×#14581760C22
hypercenter#2353D83
hypocenterC83C4×#551
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2353

Complements

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

NH ≅ G/Ntype
2. #24910594C2semidirect
3. #24910589C2semidirect
4. #24910583C2semidirect
5. #24910570C2semidirect
6. #24910543C2semidirect
7. #24910540C2semidirect
8. #24910461C2semidirect
9. #24910452C2semidirect
11. #24910400C2semidirect
12. #24910320C2semidirect
13. #24910317C2semidirect
14. #24910309C2semidirect
15. #24910306C2semidirect
16. #24910013C2semidirect
17. #24910011C2semidirect
18. #24910004C2semidirect
19. #24909997C2semidirect
20. #24909991C2semidirect
21. #24909990C2semidirect
22. #24909988C2semidirect
23. #24909980C2semidirect
25. C4×D4×Dic83C2semidirect
26. C4×(C22⋊D83)⋊C4C2semidirect
27. #24909802C2semidirect
28. C4×#14581748C2semidirect
29. C2×#19127548C2semidirect
30. C4×C22⋊C4×D83C2semidirect
31. C83×#2353C2semidirect
33. #19128380C4semidirect
43. C2×#14581757C22semidirect
60. C22×C4×Dic83C22semidirect
63. #19127606C22semidirect
64. #19127605C22semidirect
65. #19127605C22semidirect
67. #19127598C22semidirect
68. #19127597C22semidirect
69. #19127595C22semidirect
70. #19127595C22semidirect
71. #19127595C22semidirect
82. #19127589C22semidirect
83. #19127588C22semidirect
84. #19127588C22semidirect
85. #19127588C22semidirect
86. #19127586C22semidirect
87. #19127586C22semidirect
88. #19127585C22semidirect
89. #19127585C22semidirect
90. #19127583C22semidirect
91. #19127583C22semidirect
92. #19127583C22semidirect
93. #19127583C22semidirect
94. #19127583C22semidirect
95. #19127583C22semidirect
96. #19127583C22semidirect
108. #19127573C22semidirect
111. #19127568C22semidirect
112. #19127565C22semidirect
117. C4⋊C4×Dic83C22semidirect
118. C4⋊C4×Dic83C22semidirect
119. C4⋊C4×Dic83C22semidirect
120. C4×Dic83⋊C4C22semidirect
121. C4×Dic83⋊C4C22semidirect
122. C4×Dic83⋊C4C22semidirect
123. C4×C4⋊Dic83C22semidirect
124. #19127552C22semidirect
125. #19127552C22semidirect
126. #19127552C22semidirect
127. #19127552C22semidirect
128. #19127552C22semidirect
129. #19127552C22semidirect
130. #19127552C22semidirect
131. #19127552C22semidirect
132. #19127552C22semidirect
137. C22⋊C4×Dic83C22semidirect
138. C22⋊C4×Dic83C22semidirect
139. C22⋊C4×Dic83C22semidirect
140. C22⋊C4×Dic83C22semidirect
141. C22⋊C4×Dic83C22semidirect
148. C4×C22⋊Dic83C22semidirect
164. #19127547C22semidirect
165. #19127546C22semidirect
166. #19127546C22semidirect
170. C42×Dic83C22semidirect
171. C42×Dic83C22semidirect
172. C42×Dic83C22semidirect
174. #388×C83C22semidirect
175. #388×C83C22semidirect
176. #387×C83C22semidirect
177. #387×C83C22semidirect
180. #383×C83C22semidirect
181. #381×C83C22semidirect
185. C4×C22⋊C4×C83C22semidirect
186. #376×C83C22semidirect
208. #14581787C2×C4semidirect
209. #14581786C2×C4semidirect
210. #14581778C2×C4semidirect
211. #14581775C2×C4semidirect
212. #14581774C2×C4semidirect
213. #14581773C2×C4semidirect
214. #14581771C2×C4semidirect
215. #14581770C2×C4semidirect
220. C4×C22⋊D83C2×C4semidirect
225. #14581749C2×C4semidirect
227. #14581748C2×C4semidirect
256. C2×(C2×D83)⋊C4C2×C4semidirect
276. C22⋊C4×D83C2×C4semidirect
345. C4×D4×C83C2×C4semidirect
387. C2×Dic166C22×C4semidirect
450. C4⋊Dic83C22×C4semidirect
461. Dic83⋊C4C22×C4semidirect
462. Dic83⋊C4C22×C4semidirect
463. Dic83⋊C4C22×C4semidirect
464. Dic83⋊C4C22×C4semidirect
465. Dic83⋊C4C22×C4semidirect
466. Dic83⋊C4C22×C4semidirect
472. C22⋊Dic83C22×C4semidirect
473. C22⋊Dic83C22×C4semidirect
519. C4×Dic83C22×C4semidirect
520. C4×Dic83C22×C4semidirect
537. C22×C4×C83C22×C4semidirect
553. C4⋊C4×C83C22×C4semidirect
561. C22⋊C4×C83C22×C4semidirect
566. C42×C83C22×C4semidirect
767. Dic83#551semidirect
791. #2353D83semidirect
811. C83C4×#551semidirect
864. #388C2×D83semidirect
865. #388C2×D83semidirect
880. #387C2×D83semidirect
881. #387C2×D83semidirect
899. #383C2×D83semidirect
903. #381C2×D83semidirect
956. C4×C22⋊C4C2×D83semidirect
960. #376C2×D83semidirect
1009. C4×D4C4×D83semidirect
1244. C22×C4C2×C4×D83semidirect
1279. C4⋊C4C2×C4×D83semidirect
1313. C22⋊C4C2×C4×D83semidirect
1346. C42C2×C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283802
#249105942
#249105892
#249105832
#249105702
#249105432
#249105402
#249104612
#249104522
#249104432
#249104002
#249103202
#249103172
#249103092
#249103062
#249100132
#249100112
#249100042
#249099972
#249099912
#249099902
#249099882
#249099802
#249099682
C4×D4×Dic832
C4×(C22⋊D83)⋊C42
#249098022
C4×#145817482
C2×#191275482
C4×C22⋊C4×D832
C83×#23532
C4×#55183