Finite Group Databasebeta

← #35567761

Subgroups — #35567761

Order 21248.

2874 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128265C211yesmaximal, characteristic
2#24910638C211yesmaximal, characteristic, complemented
3#24910635C211yesmaximal, characteristic, complemented
4#24910622C211yesmaximal, characteristic, complemented
5#24910617C211yesmaximal, characteristic, complemented
6#24910574C211yesmaximal, characteristic, complemented
7#24910526C211yesmaximal, characteristic, complemented
8#24910513C211yesmaximal, characteristic, complemented
9#24910510C211yesmaximal, characteristic, complemented
10#24910443C211yesmaximal, characteristic, complemented
11#24910443C211yesmaximal, characteristic, complemented
12#24910440C211yesmaximal, characteristic, complemented
13#24910440C211yesmaximal, characteristic, complemented
14#24910325C211yesmaximal, characteristic, complemented
15#24910319C211yesmaximal, characteristic, complemented
16#24910293C211yesmaximal, characteristic, complemented
17#24910275C211yesmaximal, characteristic, complemented
18#24910275C211yesmaximal, characteristic, complemented
19#24910228C211yesmaximal, characteristic, complemented
20#24910225C211yesmaximal, characteristic, complemented
21#24910184C211yesmaximal, characteristic, complemented
22#24910184C211yesmaximal, characteristic, complemented
23#24910166C211yesmaximal, characteristic, complemented
24#24910163C211yesmaximal, characteristic, complemented
25#24910126C211yesmaximal, characteristic, complemented
26#24910117C211yesmaximal, characteristic, complemented
27#24910040C211yesmaximal, characteristic, complemented
28#24909968C211yesmaximal, characteristic, complemented
29C4×#14581760C211yesmaximal, characteristic, complemented
30C2×#19127579C211yesmaximal, characteristic, complemented
31C83×#2339C211yesmaximal, characteristic, complemented
32C23×D332C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34#19128265C4116yescomplemented
35C2×#14581788C2211yescharacteristic
36C2×#14581788C2211yescharacteristic
37C2×#14581781C2211yescharacteristic
38C2×#14581781C2211yescharacteristic
39C2×#14581766C2211yescharacteristic
40C2×#14581766C2211yescharacteristic
41C2×#14581766C2211yescharacteristic
42C2×#14581766C2211yescharacteristic
43C2×#14581760C2211yescharacteristic
44C2×#14581760C2211yescharacteristic
45C2×#14581760C2211yescharacteristic
46C2×#14581760C2211yescharacteristic
47C2×D4×Dic83C2211yescharacteristic
48C2×D4×Dic83C2211yescharacteristic
49C2×C4×C22⋊D83C2211yescharacteristic, complemented
50C2×C4×C22⋊D83C2211yescharacteristic, complemented
51C2×C4×C22⋊D83C2211yescharacteristic, complemented
52C2×C4×C22⋊D83C2211yescharacteristic, complemented
53C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
54C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
55C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
56C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
57C2×#14581751C2211yescharacteristic
58C22×(C2×D83)⋊C4C2211yescharacteristic
59C22×(C2×D83)⋊C4C2211yescharacteristic
60C22×(C2×D83)⋊C4C2211yescharacteristic
61C2×C22⋊C4×D83C2211yescharacteristic
62C2×C22⋊C4×D83C2211yescharacteristic
63#19127608C2211yescharacteristic, complemented
64#19127608C2211yescharacteristic, complemented
65#19127601C2211yescharacteristic, complemented
66#19127601C2211yescharacteristic, complemented
67#19127601C2211yescharacteristic, complemented
68#19127601C2211yescharacteristic, complemented
69#19127601C2211yescharacteristic, complemented
70#19127601C2211yescharacteristic, complemented
71#19127601C2211yescharacteristic, complemented
72#19127601C2211yescharacteristic, complemented
73#19127593C2211yescharacteristic, complemented
74#19127593C2211yescharacteristic, complemented
75#19127593C2211yescharacteristic, complemented
76#19127593C2211yescharacteristic, complemented
77#19127592C2211yescharacteristic, complemented
78#19127592C2211yescharacteristic, complemented
79#19127592C2211yescharacteristic, complemented
80#19127592C2211yescharacteristic, complemented
81#19127591C2211yescharacteristic, complemented
82#19127591C2211yescharacteristic, complemented
83#19127591C2211yescharacteristic, complemented
84#19127591C2211yescharacteristic, complemented
85#19127590C2211yescharacteristic, complemented
86#19127590C2211yescharacteristic, complemented
87#19127590C2211yescharacteristic, complemented
88#19127590C2211yescharacteristic, complemented
89#19127586C2211yescharacteristic, complemented
90#19127586C2211yescharacteristic, complemented
91#19127586C2211yescharacteristic, complemented
92#19127586C2211yescharacteristic, complemented
93#19127584C2211yescharacteristic, complemented
94#19127584C2211yescharacteristic, complemented
95#19127584C2211yescharacteristic, complemented
96#19127584C2211yescharacteristic, complemented
97#19127581C2211yescharacteristic
98#19127581C2211yescharacteristic
99#19127581C2211yescharacteristic, complemented
100#19127581C2211yescharacteristic, complemented
101#19127580C2211yescharacteristic, complemented
102#19127580C2211yescharacteristic, complemented
103#19127580C2211yescharacteristic, complemented
104#19127580C2211yescharacteristic, complemented
105#19127579C2211yescharacteristic
106#19127579C2211yescharacteristic
107#19127579C2211yescharacteristic
108#19127579C2211yescharacteristic
109#19127579C2211yescharacteristic
110#19127579C2211yescharacteristic
111#19127579C2211yescharacteristic
112#19127579C2211yescharacteristic
113#19127579C2211yescharacteristic
114#19127579C2211yescharacteristic
115#19127579C2211yescharacteristic
116#19127579C2211yescharacteristic
117#19127579C2211yescharacteristic
118#19127579C2211yescharacteristic
119#19127579C2211yescharacteristic
120#19127579C2211yescharacteristic
121#19127578C2211yescharacteristic, complemented
122#19127578C2211yescharacteristic, complemented
123#19127578C2211yescharacteristic, complemented
124#19127578C2211yescharacteristic, complemented
125#19127577C2211yescharacteristic, complemented
126#19127577C2211yescharacteristic, complemented
127#19127577C2211yescharacteristic, complemented
128#19127577C2211yescharacteristic, complemented
129#19127577C2211yescharacteristic, complemented
130#19127577C2211yescharacteristic, complemented
131#19127577C2211yescharacteristic, complemented
132#19127577C2211yescharacteristic, complemented
133#19127575C2211yescharacteristic, complemented
134#19127575C2211yescharacteristic, complemented
135#19127575C2211yescharacteristic, complemented
136#19127575C2211yescharacteristic, complemented
137#19127574C2211yescharacteristic
138#19127574C2211yescharacteristic
139#19127573C2211yescharacteristic
140#19127573C2211yescharacteristic
141#19127572C2211yescharacteristic, complemented
142#19127572C2211yescharacteristic, complemented
143#19127572C2211yescharacteristic, complemented
144#19127572C2211yescharacteristic, complemented
145#19127568C2211yescharacteristic, complemented
146#19127568C2211yescharacteristic, complemented
147#19127565C2211yescharacteristic, complemented
148#19127565C2211yescharacteristic, complemented
149#19127564C2211yescharacteristic
150#19127564C2211yescharacteristic, complemented
151#19127561C2211yescharacteristic, complemented
152#19127556C2211yescharacteristic
153#19127556C2211yescharacteristic
154#19127552C2211yescharacteristic, complemented
155#19127552C2211yescharacteristic, complemented
156C22⋊C4×Dic83C2211yescharacteristic
157C22⋊C4×Dic83C2211yescharacteristic
158C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
162C4×C22⋊Dic83C2211yescharacteristic
163C4×C22⋊Dic83C2211yescharacteristic
164C4×C22⋊Dic83C2211yescharacteristic, complemented
165#19127548C2211yescharacteristic, complemented
166#19127548C2211yescharacteristic, complemented
167#19127548C2211yescharacteristic, complemented
168#19127548C2211yescharacteristic, complemented
169#19127546C2211yescharacteristic, complemented
170#19127546C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic
172C2×C83⋊#95C2211yescharacteristic, complemented
173C22×#41×C83C2211yescharacteristic
174C2×C4×D4×C83C2211yescharacteristic
175C2×C4×D4×C83C2211yescharacteristic
176#391×C83C2211yescharacteristic, complemented
177#391×C83C2211yescharacteristic, complemented
178#386×C83C2211yescharacteristic
179#386×C83C2211yescharacteristic
180#386×C83C2211yescharacteristic, complemented
181#386×C83C2211yescharacteristic, complemented
182#381×C83C2211yescharacteristic
183#381×C83C2211yescharacteristic, complemented
184#380×C83C2211yescharacteristic, complemented
185C4×C22⋊C4×C83C2211yescharacteristic, complemented
186C2×#95×C83C2211yescharacteristic
187C2×#95×C83C2211yescharacteristic, complemented
188C24×D83C2311yescharacteristic
189C24×D83C2311yescharacteristic
190C22×D332—42no—
191C22×D332—42no—
192C22×D332C2×C418yescomplemented
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C22×C4×D83—42no—
210C22×C4×D83—42no—
211C22×C4×D83—42no—
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220#14581788C2×C418yescomplemented
221#14581788C2×C418yescomplemented
222#14581781C2×C418yescomplemented
223#14581781C2×C418yescomplemented
224#14581766C2×C418yescomplemented
225#14581766C2×C418yescomplemented
226#14581766C2×C418yescomplemented
227#14581766C2×C418yescomplemented
228#14581760C2×C418yescomplemented
229#14581760C2×C418yescomplemented
230#14581760C2×C418yescomplemented
231#14581760C2×C418yescomplemented
232D4×Dic83—42no—
233D4×Dic83—42no—
234C4×C22⋊D83—42no—
235C4×C22⋊D83—42no—
236C4×C22⋊D83—42no—
237C4×C22⋊D83—42no—
238(C22⋊D83)⋊C4—42no—
239(C22⋊D83)⋊C4—42no—
240(C22⋊D83)⋊C4—42no—
241(C22⋊D83)⋊C4—42no—
242#14581751C2×C418yescomplemented
243C2×C4⋊Dic83C2311yescharacteristic
244C2×C4⋊Dic83C2311yescharacteristic
245C2×C4⋊Dic83C2311yescharacteristic
246C2×C4⋊Dic83C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×(C2×D83)⋊C4—42no—
266C2×(C2×D83)⋊C4—42no—
267C2×(C2×D83)⋊C4—42no—
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
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C22⋊C4×D83—42no—
301C22⋊C4×D83—42no—
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
313C2×C4×Dic83C2311yescharacteristic
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
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C2×#41×C83—42no—
343C2×#41×C83—42no—
344C2×#41×C83C2×C418yescomplemented
345C22×Q8×C83C2311yescharacteristic
346C22×D4×C83C2311yescharacteristic
347C22×D4×C83C2311yescharacteristic
348C22×D4×C83C2311yescharacteristic
349C23×C4×C83C2311yescharacteristic
350C23×C4×C83C2311yescharacteristic
351C23×C4×C83C2311yescharacteristic
352C23×C4×C83C2311yescharacteristic
353C23×C4×C83C2311yescharacteristic
354C23×C4×C83C2311yescharacteristic
355C23×C4×C83C2311yescharacteristic
356C4×D4×C83—42no—
357C4×D4×C83—42no—
358C2×C4⋊C4×C83C2311yescharacteristic
359C2×C4⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C22⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83C2311yescharacteristic
368C2×C42×C83C2311yescharacteristic
369C2×C42×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—41no—
387C23×D83—41no—
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
400C2×D332—416no—
401C2×D332—41no—
402C2×D332—41no—
403C2×D332—41no—
404C2×D332—41no—
405C2×D332—41no—
406C2×D332—41no—
407C2×D332—41no—
408C2×D332—41no—
409C2×D332C22×C414yes—
410C2×D332C22×C414yes—
411C2×D332C22×C414yes—
412C2×D332C22×C414yes—
413C2×C22⋊D83—41no—
414C2×C22⋊D83—41no—
415C2×C22⋊D83—41no—
416C2×C22⋊D83—41no—
417C2×C22⋊D83—41no—
418C2×C22⋊D83—41no—
419C2×C22⋊D83—41no—
420C2×C22⋊D83—41no—
421C2×C22⋊D83—41no—
422C2×C22⋊D83—41no—
423C2×C22⋊D83—41no—
424C2×C22⋊D83—41no—
425C2×C22⋊D83—41no—
426C2×C22⋊D83—41no—
427C2×C22⋊D83—41no—
428C2×C22⋊D83—41no—
429C2×C22⋊D83C22×C414yes—
430C2×C22⋊D83C22×C414yes—
431C2×C22⋊D83C22×C414yes—
432C2×C22⋊D83C22×C414yes—
433C2×C22⋊D83C22×C414yescomplemented
434C2×C22⋊D83C22×C414yescomplemented
435C2×C22⋊D83C22×C414yescomplemented
436C2×C22⋊D83C22×C414yescomplemented
437C22×Dic83—22no—
438C22×Dic83—22no—
439C22×Dic83—22no—
440C22×Dic83—22no—
441C22×Dic83—41no—
442C22×Dic83—41no—
443C22×Dic83—41no—
444C22×Dic83—41no—
445C22×Dic83—41no—
446C22×Dic83—41no—
447C22×Dic83—41no—
448C22×Dic83—41no—
449C22×Dic83C2411yescharacteristic
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C22×Dic83C2411yescharacteristic
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C2×C4×D83—22no—
462C2×C4×D83—22no—
463C2×C4×D83—22no—
464C2×C4×D83—22no—
465C2×C4×D83—41no—
466C2×C4×D83—41no—
467C2×C4×D83—41no—
468C2×C4×D83—41no—
469C2×C4×D83—41no—
470C2×C4×D83—41no—
471C2×C4×D83—41no—
472C2×C4×D83—41no—
473C2×C4×D83—416no—
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—
486C4⋊Dic83—41no—
487C4⋊Dic83—41no—
488C4⋊Dic83C22×C414yescomplemented
489C4⋊Dic83C22×C414yescomplemented
490Dic83⋊C4—22no—
491Dic83⋊C4—22no—
492Dic83⋊C4—41no—
493Dic83⋊C4—41no—
494Dic83⋊C4—41no—
495Dic83⋊C4—41no—
496Dic83⋊C4—41no—
497Dic83⋊C4—41no—
498C22⋊Dic83—22no—
499C22⋊Dic83—22no—
500C22⋊Dic83—22no—
501C22⋊Dic83—41no—
502C22⋊Dic83—41no—
503C22⋊Dic83—41no—
504C22⋊Dic83—41no—
505C22⋊Dic83—41no—
506C22⋊Dic83C22×C414yes—
507C22⋊Dic83C22×C414yes—
508(C2×D83)⋊C4—22no—
509(C2×D83)⋊C4—22no—
510(C2×D83)⋊C4—22no—
511(C2×D83)⋊C4—22no—
512(C2×D83)⋊C4—41no—
513(C2×D83)⋊C4—41no—
514(C2×D83)⋊C4—41no—
515(C2×D83)⋊C4—41no—
516(C2×D83)⋊C4—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4—41no—
521(C2×D83)⋊C4—41no—
522(C2×D83)⋊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)⋊C4C22×C414yes—
533(C2×D83)⋊C4C22×C414yes—
534(C2×D83)⋊C4C22×C414yes—
535(C2×D83)⋊C4C22×C414yes—
536(C2×D83)⋊C4C22×C414yescomplemented
537(C2×D83)⋊C4C22×C414yescomplemented
538(C2×D83)⋊C4C22×C414yescomplemented
539(C2×D83)⋊C4C22×C414yescomplemented
540C4×Dic83—22no—
541C4×Dic83—22no—
542C4×Dic83—41no—
543C4×Dic83—41no—
544C4×Dic83—41no—
545C4×Dic83—41no—
546C4×Dic83—41no—
547C4×Dic83—41no—
548C4×Dic83—41no—
549C4×Dic83—41no—
550C4×Dic83C22×C414yescomplemented
551C4×Dic83C22×C414yescomplemented
552C24×C83C2411yescharacteristic
553C24×C83C2411yescharacteristic
554C24×C83C2411yescharacteristic
555#41×C83—416no—
556C2×Q8×C83—41no—
557C2×Q8×C83—41no—
558C2×Q8×C83C22×C414yescomplemented
559C2×D4×C83—22no—
560C2×D4×C83—22no—
561C2×D4×C83—22no—
562C2×D4×C83—22no—
563C2×D4×C83—41no—
564C2×D4×C83—41no—
565C2×D4×C83C22×C414yes—
566C2×D4×C83C22×C414yes—
567C2×D4×C83C22×C414yescomplemented
568C22×C4×C83—22no—
569C22×C4×C83—22no—
570C22×C4×C83—22no—
571C22×C4×C83—22no—
572C22×C4×C83—22no—
573C22×C4×C83—22no—
574C22×C4×C83—41no—
575C22×C4×C83—41no—
576C22×C4×C83—41no—
577C22×C4×C83—41no—
578C22×C4×C83—41no—
579C22×C4×C83—41no—
580C22×C4×C83—41no—
581C22×C4×C83—41no—
582C22×C4×C83—41no—
583C22×C4×C83—41no—
584C22×C4×C83—41no—
585C22×C4×C83—41no—
586C22×C4×C83C22×C414yes—
587C22×C4×C83C22×C414yescomplemented
588C22×C4×C83C22×C414yescomplemented
589C22×C4×C83C2411yescharacteristic
590C22×C4×C83C2411yescharacteristic
591C22×C4×C83C2411yescharacteristic
592C22×C4×C83C2411yescharacteristic
593C22×C4×C83C2411yescharacteristic
594C22×C4×C83C2411yescharacteristic
595C22×C4×C83C2411yescharacteristic
596C22×C4×C83C2411yescharacteristic
597C22×C4×C83C2411yescharacteristic
598C22×C4×C83C2411yescharacteristic
599C22×C4×C83C2411yescharacteristic
600C22×C4×C83C2411yescharacteristic
601C4⋊C4×C83—41no—
602C4⋊C4×C83—41no—
603C22⋊C4×C83—22no—
604C22⋊C4×C83—22no—
605C22⋊C4×C83—22no—
606C22⋊C4×C83—41no—
607C22⋊C4×C83—41no—
608C22⋊C4×C83—41no—
609C22⋊C4×C83—41no—
610C22⋊C4×C83—41no—
611C42×C83—41no—
612C42×C83—41no—
613C23×C83—21no—
614C23×C83—21no—
615C23×C83—21no—
616C23×C83—21no—
617C23×C83—21no—
618C23×C83—21no—
619C23×C83—21no—
620C23×C83—21no—
621C23×C83—21no—
622C23×C83—21no—
623C23×C83—21no—
624C23×C83—21no—
625C23×C83—21no—
626C23×C83—21no—
627C23×C83—21no—
628C23×C83—21no—
629C23×C83C23×C412yes—
630C23×C83C23×C412yes—
631C23×C83C23×C412yes—
632C23×C83H(5,𝔽2)12yes—
633C23×C83H(5,𝔽2)12yes—
634C23×C83C2511yescharacteristic
635C22×D83—28no—
636C22×D83—21no—
637C22×D83—21no—
638C22×D83—21no—
639C22×D83—21no—
640C22×D83—21no—
641C22×D83—21no—
642C22×D83—21no—
643C22×D83—21no—
644C22×D83—21no—
645C22×D83—21no—
646C22×D83—21no—
647C22×D83—21no—
648C22×D83—21no—
649C22×D83—21no—
650C22×D83—21no—
651C22×D83—21no—
652C22×D83—21no—
653C22×D83—21no—
654C22×D83—21no—
655C22×D83—21no—
656C22×D83—21no—
657C22×D83—21no—
658C22×D83—21no—
659C22×D83—21no—
660C22×D83—28no—
661C22×D83—44no—
662C22×D83—44no—
663C22×D83—44no—
664C22×D83—44no—
665C22×D83—44no—
666C22×D83—44no—
667C22×D83—44no—
668C22×D83—44no—
669C22×D83—82no—
670C22×D83—82no—
671C22×D83—82no—
672C22×D83—82no—
673C22×D83C23×C412yes—
674C22×D83C23×C412yes—
675C22×D83C23×C412yes—
676C22×D83C23×C412yes—
677Q8×C83—44no—
678D4×C83—28no—
679D4×C83—28no—
680D4×C83—44no—
681C2×C4×C83—28no—
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—21no—
697C2×C4×C83—21no—
698C2×C4×C83—21no—
699C2×C4×C83—21no—
700C2×C4×C83—21no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—44no—
714C2×C4×C83—44no—
715C2×C4×C83—44no—
716C2×C4×C83—82no—
717C2×C4×C83—82no—
718C2×C4×C83—82no—
719C2×C4×C83C23×C412yes—
720C2×C4×C83C23×C412yes—
721C2×C4×C83C23×C412yes—
722C2×C4×C83C23×C412yes—
723C2×C4×C83H(5,𝔽2)12yes—
724C22⋊D83—44no—
725C22⋊D83—44no—
726C22⋊D83—44no—
727C22⋊D83—44no—
728C22⋊D83—44no—
729C22⋊D83—44no—
730C22⋊D83—44no—
731C22⋊D83—44no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—21no—
735C2×Dic83—21no—
736C2×Dic83—21no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—21no—
744C2×Dic83—21no—
745C2×Dic83—21no—
746C2×Dic83—21no—
747C2×Dic83—21no—
748C2×Dic83—21no—
749C2×Dic83—21no—
750C2×Dic83—21no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—21no—
756C2×Dic83—21no—
757C2×Dic83—21no—
758C2×Dic83—21no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—44no—
764C2×Dic83—82no—
765C2×Dic83—82no—
766C2×Dic83—82no—
767C2×Dic83C23×C412yes—
768C2×Dic83C23×C412yes—
769C2×Dic83C23×C412yes—
770C2×Dic83C23×C412yes—
771C2×Dic83H(5,𝔽2)12yes—
772D332—44no—
773D332—44no—
774D332—44no—
775D332—44no—
776C4×D83—44no—
777C4×D83—44no—
778C4×D83—44no—
779C4×D83—44no—
780C4×D83—82no—
781C4×D83—82no—
782C4×D83—82no—
783C4×D83—82no—
784C22×C83—22no—
785C22×C83—22no—
786C22×C83—22no—
787C22×C83—22no—
788C22×C83—22no—
789C22×C83—22no—
790C22×C83—22no—
791C22×C83—22no—
792C22×C83—22no—
793C22×C83—22no—
794C22×C83—22no—
795C22×C83—22no—
796C22×C83—41no—
797C22×C83—41no—
798C22×C83—41no—
799C22×C83—41no—
800C22×C83—41no—
801C22×C83—41no—
802C22×C83—41no—
803C22×C83—41no—
804C22×C83#51814yes—
805C22×C83C24×C411yescharacteristic
806C22×C83C2×H(5,𝔽2)11yescharacteristic
807C22×C83C2×H(5,𝔽2)11yescharacteristic
808C22×C83C2×H(5,𝔽2)11yescharacteristic
809C22×C83C2×H(5,𝔽2)11yescharacteristic
810C22×C83#58511yescharacteristic
811C22×C83#58511yescharacteristic
812C2×D83—22no—
813C2×D83—22no—
814C2×D83—22no—
815C2×D83—22no—
816C2×D83—22no—
817C2×D83—22no—
818C2×D83—22no—
819C2×D83—22no—
820C2×D83—22no—
821C2×D83—22no—
822C2×D83—22no—
823C2×D83—22no—
824C2×D83—416no—
825C2×D83—41no—
826C2×D83—41no—
827C2×D83—41no—
828C2×D83—41no—
829C2×D83—41no—
830C2×D83—41no—
831C2×D83—41no—
832C2×D83—41no—
833C2×D83—41no—
834C2×D83—41no—
835C2×D83—41no—
836C2×D83—41no—
837C2×D83—41no—
838C2×D83—41no—
839C2×D83—41no—
840C2×D83—41no—
841C2×D83—88no—
842C4×C83—22no—
843C4×C83—22no—
844C4×C83—22no—
845C4×C83—22no—
846C4×C83—22no—
847C4×C83—41no—
848C4×C83—41no—
849C4×C83—41no—
850C4×C83—41no—
851C4×C83—41no—
852C4×C83—41no—
853C4×C83—41no—
854Dic83—22no—
855Dic83—22no—
856Dic83—22no—
857Dic83—22no—
858Dic83—22no—
859Dic83—41no—
860Dic83—41no—
861Dic83—41no—
862Dic83—41no—
863Dic83—41no—
864Dic83—41no—
865Dic83—41no—
866#34406—831nomaximal, Sylow
867C2×C83—24no—
868C2×C83—42no—
869C2×C83—42no—
870C2×C83C2×#51811yescharacteristic
871C2×C83C4×H(5,𝔽2)11yescharacteristic
872C2×C83C4×H(5,𝔽2)11yescharacteristic
873C2×C83#353211yescharacteristic
874C2×C83#353311yescharacteristic
875C2×C83#354211yescharacteristic
876C2×C83#354211yescharacteristic
877D83—42no—
878D83—42no—
879D83—42no—
880D83—42no—
881C2×#535—831no—
882#2380—831no—
883#2379—831no—
884#2377—831no—
885#2377—831no—
886#2372—831no—
887#2366—831no—
888#2364—831no—
889#2364—831no—
890#2358—831no—
891#2358—831no—
892#2358—831no—
893#2358—831no—
894#2343—831no—
895#2343—831no—
896#2339—831no—
897#2339D8311yescharacteristic, complemented
898#2337—831no—
899#2337—831no—
900#2333—831no—
901#2333—831no—
902#2328—831no—
903#2328—831no—
904#2325—831no—
905#2325—831no—
906#2321—831no—
907#2321—831no—
908#2308—831no—
909C4×#120—831no—
910C4×#120—831no—
911C2×#386—831no—
912C83#3440611yescharacteristic, complemented, Sylow
913C22×#41C2×D8311yescharacteristic
914C23×D4—831no—
915C24×C4—831no—
916#535—8316no—
917C2×#127—831no—
918C2×#127—831no—
919C2×#124—831no—
920C2×#124—831no—
921C2×#121—831no—
922C2×#121—831no—
923C2×#121—831no—
924C2×#121—831no—
925C2×#120—831no—
926C2×#120—831no—
927C2×#120—831no—
928C2×#120—831no—
929C2×C4×D4—831no—
930C2×C4×D4—831no—
931C2×C4×D4—831no—
932C2×C4×D4—831no—
933C2×C4×D4—831no—
934C2×C4×D4—831no—
935C2×C4×D4—831no—
936C2×C4×D4—831no—
937C2×C4×D4—831no—
938C2×C4×D4—831no—
939C2×C4×D4C2×D8311yescharacteristic
940C2×C4×D4C2×D8311yescharacteristic
941C2×#117—831no—
942C22×C22⋊C4—831no—
943C22×C22⋊C4—831no—
944C22×C22⋊C4—831no—
945C22×C22⋊C4—831no—
946C22×C22⋊C4—831no—
947#391—831no—
948#391—831no—
949#391C2×D8311yescharacteristic, complemented
950#391C2×D8311yescharacteristic, complemented
951#390—831no—
952#390—831no—
953#390—831no—
954#390—831no—
955#390—831no—
956#390—831no—
957#390—831no—
958#390—831no—
959#388—831no—
960#388—831no—
961#388—831no—
962#388—831no—
963#388—831no—
964#388—831no—
965#388—831no—
966#388—831no—
967#388—831no—
968#388—831no—
969#388—831no—
970#388—831no—
971#388—831no—
972#388—831no—
973#388—831no—
974#388—831no—
975#387—831no—
976#387—831no—
977#387—831no—
978#387—831no—
979#387—831no—
980#387—831no—
981#387—831no—
982#387—831no—
983#386—831no—
984#386—831no—
985#386—831no—
986#386—831no—
987#386—831no—
988#386—831no—
989#386—831no—
990#386—831no—
991#386—831no—
992#386—831no—
993#386—831no—
994#386—831no—
995#386—831no—
996#386—831no—
997#386—831no—
998#386—831no—
999#386—831no—
1000#386—831no—
1001#386—831no—
1002#386—831no—
1003#386—831no—
1004#386—831no—
1005#386—831no—
1006#386—831no—
1007#386—831no—
1008#386—831no—
1009#386—831no—
1010#386—831no—
1011#386—831no—
1012#386—831no—
1013#386—831no—
1014#386—831no—
1015#386—831no—
1016#386—831no—
1017#386—831no—
1018#386—831no—
1019#386C2×D8311yescharacteristic
1020#386C2×D8311yescharacteristic
1021#386C2×D8311yescharacteristic, complemented
1022#386C2×D8311yescharacteristic, complemented
1023#385—831no—
1024#385—831no—
1025#385—831no—
1026#385—831no—
1027#385—831no—
1028#385—831no—
1029#385—831no—
1030#385—831no—
1031#385—831no—
1032#385—831no—
1033#385—831no—
1034#385—831no—
1035#383—831no—
1036#383—831no—
1037#382—831no—
1038#382—831no—
1039#381—831no—
1040#381—831no—
1041#381C2×D8311yescharacteristic
1042#381C2×D8311yescharacteristic, complemented
1043#380—831no—
1044#380C2×D8311yescharacteristic, complemented
1045#379—831no—
1046#379—831no—
1047C4×C4⋊C4—831no—
1048C4×C4⋊C4—831no—
1049C4×C22⋊C4—831no—
1050C4×C22⋊C4—831no—
1051C4×C22⋊C4—831no—
1052C4×C22⋊C4—831no—
1053C4×C22⋊C4—831no—
1054C4×C22⋊C4—831no—
1055C4×C22⋊C4—831no—
1056C4×C22⋊C4—831no—
1057C4×C22⋊C4—831no—
1058C4×C22⋊C4—831no—
1059C4×C22⋊C4—831no—
1060C4×C22⋊C4—831no—
1061C4×C22⋊C4—831no—
1062C4×C22⋊C4C2×D8311yescharacteristic, complemented
1063#376—831no—
1064#376—831no—
1065C2×#95—831no—
1066C2×#95—831no—
1067C2×#95C2×D8311yescharacteristic
1068C2×#95C2×D8311yescharacteristic, complemented
1069C25—831no—
1070C25—831no—
1071C2×#41—42no—
1072C2×#41—42no—
1073C2×#41C4×D8318yescomplemented
1074C22×Q8C22×D8311yescharacteristic
1075C22×D4—3322no—
1076C22×D4—3322no—
1077C22×D4—831no—
1078C22×D4—831no—
1079C22×D4—831no—
1080C22×D4—831no—
1081C22×D4—831no—
1082C22×D4—831no—
1083C22×D4—831no—
1084C22×D4—831no—
1085C22×D4—838no—
1086C22×D4—831no—
1087C22×D4—831no—
1088C22×D4—831no—
1089C22×D4—831no—
1090C22×D4C22×D8311yescharacteristic
1091C22×D4C22×D8311yescharacteristic
1092C22×D4C22×D8311yescharacteristic
1093C23×C4—3322no—
1094C23×C4—3322no—
1095C23×C4—3322no—
1096C23×C4—831no—
1097C23×C4—831no—
1098C23×C4—831no—
1099C23×C4—831no—
1100C23×C4—831no—
1101C23×C4—831no—
1102C23×C4—831no—
1103C23×C4—831no—
1104C23×C4—831no—
1105C23×C4—831no—
1106C23×C4—831no—
1107C23×C4—831no—
1108C23×C4C22×D8311yescharacteristic
1109C23×C4C22×D8311yescharacteristic
1110C23×C4C22×D8311yescharacteristic
1111C23×C4C22×D8311yescharacteristic
1112C23×C4C22×D8311yescharacteristic
1113C23×C4C22×D8311yescharacteristic
1114C23×C4C22×D8311yescharacteristic
1115#127—838no—
1116#127—838no—
1117#124—838no—
1118#124—838no—
1119#121—838no—
1120#121—838no—
1121#121—838no—
1122#121—838no—
1123#120—838no—
1124#120—838no—
1125#120—838no—
1126#120—838no—
1127C4×D4—42no—
1128C4×D4—42no—
1129C4×D4—3322no—
1130C4×D4—3322no—
1131C4×D4—3322no—
1132C4×D4—3322no—
1133C4×D4—3322no—
1134C4×D4—3322no—
1135C4×D4—3322no—
1136C4×D4—3322no—
1137C4×D4—3322no—
1138C4×D4—3322no—
1139#117—838no—
1140C2×C4⋊C4—831no—
1141C2×C4⋊C4—831no—
1142C2×C4⋊C4—831no—
1143C2×C4⋊C4—831no—
1144C2×C4⋊C4—831no—
1145C2×C4⋊C4—831no—
1146C2×C4⋊C4—831no—
1147C2×C4⋊C4—831no—
1148C2×C4⋊C4—831no—
1149C2×C4⋊C4—831no—
1150C2×C4⋊C4—831no—
1151C2×C4⋊C4—831no—
1152C2×C4⋊C4C22×D8311yescharacteristic
1153C2×C4⋊C4C22×D8311yescharacteristic
1154C2×C22⋊C4—3322no—
1155C2×C22⋊C4—3322no—
1156C2×C22⋊C4—3322no—
1157C2×C22⋊C4—3322no—
1158C2×C22⋊C4—3322no—
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—831no—
1171C2×C22⋊C4—831no—
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⋊C4—831no—
1181C2×C22⋊C4—831no—
1182C2×C22⋊C4—831no—
1183C2×C22⋊C4—831no—
1184C2×C22⋊C4—831no—
1185C2×C22⋊C4—831no—
1186C2×C22⋊C4—831no—
1187C2×C22⋊C4—831no—
1188C2×C22⋊C4—831no—
1189C2×C22⋊C4—831no—
1190C2×C22⋊C4—831no—
1191C2×C22⋊C4—831no—
1192C2×C22⋊C4—831no—
1193C2×C22⋊C4—831no—
1194C2×C22⋊C4—831no—
1195C2×C22⋊C4—831no—
1196C2×C22⋊C4—831no—
1197C2×C22⋊C4—831no—
1198C2×C22⋊C4—831no—
1199C2×C22⋊C4—831no—
1200C2×C22⋊C4—831no—
1201C2×C22⋊C4C22×D8311yescharacteristic
1202C2×C22⋊C4C22×D8311yescharacteristic
1203C2×C22⋊C4C22×D8311yescharacteristic
1204C2×C22⋊C4C22×D8311yescharacteristic
1205C2×C22⋊C4C22×D8311yescharacteristic
1206C2×C22⋊C4C22×D8311yescharacteristic
1207C2×C22⋊C4C22×D8311yescharacteristic
1208C2×C22⋊C4C22×D8311yescharacteristic
1209C2×C42—831no—
1210C2×C42—831no—
1211C2×C42—831no—
1212C2×C42—831no—
1213C2×C42—831no—
1214C2×C42—831no—
1215C2×C42—831no—
1216C2×C42—831no—
1217C2×C42—831no—
1218C2×C42—831no—
1219C2×C42—831no—
1220C2×C42—831no—
1221C2×C42C22×D8311yescharacteristic
1222C2×C42C22×D8311yescharacteristic
1223#95—831no—
1224#95—831no—
1225#95—831no—
1226#95—831no—
1227#95—831no—
1228#95—831no—
1229#95—831no—
1230#95—831no—
1231#95—831no—
1232#95—831no—
1233#95—831no—
1234#95—831no—
1235#95—831no—
1236#95—831no—
1237#95—831no—
1238#95—831no—
1239#95—831no—
1240#95—831no—
1241#95—831no—
1242#95—831no—
1243#95—831no—
1244#95—831no—
1245#95—831no—
1246#95—831no—
1247#95—831no—
1248#95—831no—
1249#95—831no—
1250#95—831no—
1251#95C22×D8311yescharacteristic
1252#95C22×D8311yescharacteristic
1253#95C22×D8311yescharacteristic
1254#95C22×D8311yescharacteristic
1255#95C22×D8311yescharacteristic
1256#95C22×D8311yescharacteristic
1257#95C22×D8311yescharacteristic
1258#95C22×D8311yescharacteristic
1259#95C22×D8311yescharacteristic
1260#95C22×D8311yescharacteristic
1261#95C22×D8311yescharacteristic
1262#95C22×D8311yescharacteristic
1263C24—3321no—
1264C24—3321no—
1265C24—3321no—
1266C24—3321no—
1267C24—3321no—
1268C24—3321no—
1269C24—3321no—
1270C24—3321no—
1271C24—834no—
1272C24—834no—
1273C24—831no—
1274C24—831no—
1275C24—831no—
1276C24—831no—
1277C24—1662no—
1278C24—1662no—
1279C24—1662no—
1280C24—1662no—
1281C24C23×D8311yescharacteristic
1282C24C23×D8311yescharacteristic
1283C24C23×D8311yescharacteristic
1284#41—416no—
1285C2×Q8—41no—
1286C2×Q8—41no—
1287C2×Q8C2×C4×D8314yescomplemented
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—33216no—
1295C2×D4—3321no—
1296C2×D4—3321no—
1297C2×D4—3321no—
1298C2×D4—3321no—
1299C2×D4—3321no—
1300C2×D4—3321no—
1301C2×D4—3321no—
1302C2×D4—3321no—
1303C2×D4—3321no—
1304C2×D4—3321no—
1305C2×D4—3321no—
1306C2×D4—3321no—
1307C2×D4—3321no—
1308C2×D4—3321no—
1309C2×D4—3321no—
1310C2×D4—3321no—
1311C2×D4—3321no—
1312C2×D4—3321no—
1313C2×D4—3321no—
1314C2×D4—3321no—
1315C2×D4—3321no—
1316C2×D4—3321no—
1317C2×D4—3321no—
1318C2×D4—3321no—
1319C2×D4—834no—
1320C2×D4—834no—
1321C2×D4—834no—
1322C2×D4—834no—
1323C2×D4—834no—
1324C2×D4—834no—
1325C2×D4—834no—
1326C2×D4—834no—
1327C2×D4—834no—
1328C2×D4—834no—
1329C2×D4—834no—
1330C2×D4—834no—
1331C2×D4C2×C4×D8314yes—
1332C2×D4C2×C4×D8314yes—
1333C2×D4C2×C4×D8314yescomplemented
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—3321no—
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—33216no—
1373C22×C4—3321no—
1374C22×C4—3321no—
1375C22×C4—3321no—
1376C22×C4—3321no—
1377C22×C4—3321no—
1378C22×C4—3321no—
1379C22×C4—3321no—
1380C22×C4—3321no—
1381C22×C4—831no—
1382C22×C4—831no—
1383C22×C4—831no—
1384C22×C4—831no—
1385C22×C4—831no—
1386C22×C4—831no—
1387C22×C4—831no—
1388C22×C4—831no—
1389C22×C4—831no—
1390C22×C4—831no—
1391C22×C4—831no—
1392C22×C4—831no—
1393C22×C4—1662no—
1394C22×C4—1662no—
1395C22×C4—1662no—
1396C22×C4—1662no—
1397C22×C4—1662no—
1398C22×C4—1662no—
1399C22×C4—1662no—
1400C22×C4—1662no—
1401C22×C4C2×C4×D8314yes—
1402C22×C4C2×C4×D8314yescomplemented
1403C22×C4C2×C4×D8314yescomplemented
1404C22×C4C23×D8311yescharacteristic
1405C22×C4C23×D8311yescharacteristic
1406C22×C4C23×D8311yescharacteristic
1407C22×C4C23×D8311yescharacteristic
1408C22×C4C23×D8311yescharacteristic
1409C22×C4C23×D8311yescharacteristic
1410C22×C4C23×D8311yescharacteristic
1411C22×C4C23×D8311yescharacteristic
1412C22×C4C23×D8311yescharacteristic
1413C22×C4C23×D8311yescharacteristic
1414C22×C4C23×D8311yescharacteristic
1415C22×C4C23×D8311yescharacteristic
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—3321no—
1419C4⋊C4—3321no—
1420C4⋊C4—3321no—
1421C4⋊C4—3321no—
1422C4⋊C4—3321no—
1423C4⋊C4—3321no—
1424C4⋊C4—3321no—
1425C4⋊C4—3321no—
1426C4⋊C4—834no—
1427C4⋊C4—834no—
1428C4⋊C4—1662no—
1429C4⋊C4—1662no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—3321no—
1439C22⋊C4—3321no—
1440C22⋊C4—3321no—
1441C22⋊C4—3321no—
1442C22⋊C4—3321no—
1443C22⋊C4—3321no—
1444C22⋊C4—3321no—
1445C22⋊C4—3321no—
1446C22⋊C4—3321no—
1447C22⋊C4—3321no—
1448C22⋊C4—3321no—
1449C22⋊C4—3321no—
1450C22⋊C4—3321no—
1451C22⋊C4—3321no—
1452C22⋊C4—3321no—
1453C22⋊C4—3321no—
1454C22⋊C4—3321no—
1455C22⋊C4—3321no—
1456C22⋊C4—3321no—
1457C22⋊C4—3321no—
1458C22⋊C4—3321no—
1459C22⋊C4—3321no—
1460C22⋊C4—3321no—
1461C22⋊C4—3321no—
1462C22⋊C4—3321no—
1463C22⋊C4—834no—
1464C22⋊C4—834no—
1465C22⋊C4—834no—
1466C22⋊C4—834no—
1467C22⋊C4—834no—
1468C22⋊C4—834no—
1469C22⋊C4—834no—
1470C22⋊C4—834no—
1471C22⋊C4—834no—
1472C22⋊C4—834no—
1473C22⋊C4—1662no—
1474C22⋊C4—1662no—
1475C22⋊C4—1662no—
1476C22⋊C4—1662no—
1477C22⋊C4—1662no—
1478C22⋊C4—1662no—
1479C22⋊C4—1662no—
1480C42—41no—
1481C42—41no—
1482C42—3321no—
1483C42—3321no—
1484C42—3321no—
1485C42—3321no—
1486C42—3321no—
1487C42—3321no—
1488C42—3321no—
1489C42—3321no—
1490C42—834no—
1491C42—834no—
1492C42—1662no—
1493C42—1662no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—3324no—
1511C23—3324no—
1512C23—3324no—
1513C23—3324no—
1514C23—3324no—
1515C23—3324no—
1516C23—3324no—
1517C23—3324no—
1518C23—832no—
1519C23—832no—
1520C23—832no—
1521C23—832no—
1522C23—6642no—
1523C23—6642no—
1524C23—6642no—
1525C23—6642no—
1526C23—1668no—
1527C23—1661no—
1528C23—1661no—
1529C23—1661no—
1530C23—1661no—
1531C23—1661no—
1532C23—1661no—
1533C23—1661no—
1534C23—1661no—
1535C23—1661no—
1536C23—1661no—
1537C23—1661no—
1538C23—1661no—
1539C23—1661no—
1540C23—1661no—
1541C23—1661no—
1542C23—1661no—
1543C23—1661no—
1544C23—1661no—
1545C23—1661no—
1546C23—1661no—
1547C23—1661no—
1548C23—1661no—
1549C23—1661no—
1550C23—1661no—
1551C23—1668no—
1552C23C22×C4×D8312yes—
1553C23C22×C4×D8312yes—
1554C23C22×C4×D8312yes—
1555C23#1458183712yes—
1556C23#1458183712yes—
1557C23C24×D8311yescharacteristic
1558Q8—44no—
1559D4—28no—
1560D4—28no—
1561D4—44no—
1562D4—3324no—
1563D4—3324no—
1564D4—3324no—
1565D4—3324no—
1566D4—3324no—
1567D4—3324no—
1568D4—3324no—
1569D4—3324no—
1570D4—3324no—
1571D4—3324no—
1572D4—3324no—
1573D4—3324no—
1574C2×C4—28no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—82no—
1610C2×C4—82no—
1611C2×C4—82no—
1612C2×C4—3324no—
1613C2×C4—3324no—
1614C2×C4—3324no—
1615C2×C4—3324no—
1616C2×C4—3324no—
1617C2×C4—832no—
1618C2×C4—832no—
1619C2×C4—832no—
1620C2×C4—832no—
1621C2×C4—832no—
1622C2×C4—6642no—
1623C2×C4—6642no—
1624C2×C4—6642no—
1625C2×C4—6642no—
1626C2×C4—6642no—
1627C2×C4—6642no—
1628C2×C4—6642no—
1629C2×C4—1661no—
1630C2×C4—1661no—
1631C2×C4—1661no—
1632C2×C4—1661no—
1633C2×C4—1661no—
1634C2×C4—1661no—
1635C2×C4—1661no—
1636C2×C4—1661no—
1637C2×C4—1661no—
1638C2×C4—1661no—
1639C2×C4—1661no—
1640C2×C4—1661no—
1641C2×C4—1661no—
1642C2×C4—1661no—
1643C2×C4—1661no—
1644C2×C4—1661no—
1645C2×C4—1661no—
1646C2×C4—1661no—
1647C2×C4—1661no—
1648C2×C4—1661no—
1649C2×C4—1661no—
1650C2×C4—1661no—
1651C2×C4—1661no—
1652C2×C4—1661no—
1653C2×C4—1661no—
1654C2×C4—1661no—
1655C2×C4—1661no—
1656C2×C4—1661no—
1657C2×C4—1661no—
1658C2×C4—1661no—
1659C2×C4—1661no—
1660C2×C4C22×C4×D8312yes—
1661C2×C4C22×C4×D8312yes—
1662C2×C4C22×C4×D8312yes—
1663C2×C4C22×C4×D8312yes—
1664C2×C4#1458183812yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—33216no—
1686C22—3321no—
1687C22—3321no—
1688C22—3321no—
1689C22—3321no—
1690C22—3321no—
1691C22—3321no—
1692C22—3321no—
1693C22—3321no—
1694C22—3321no—
1695C22—3321no—
1696C22—3321no—
1697C22—3321no—
1698C22—3321no—
1699C22—3321no—
1700C22—3321no—
1701C22—3321no—
1702C22—6648no—
1703C22—1662no—
1704C22—1662no—
1705C22—1662no—
1706C22—1662no—
1707C22—1662no—
1708C22—1662no—
1709C22—1662no—
1710C22—1662no—
1711C22—1662no—
1712C22—1662no—
1713C22—1662no—
1714C22—1662no—
1715C22#1912817414yes—
1716C22C23×C4×D8311yescharacteristic
1717C22H(5,𝔽2)×D8311yescharacteristic
1718C22C2×#1458183711yescharacteristic
1719C22C2×#1458183711yescharacteristic
1720C22C2×#1458183811yescharacteristic
1721C22#1912853711yescharacteristic
1722C22#1912853811yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—3321no—
1736C4—3321no—
1737C4—3321no—
1738C4—3321no—
1739C4—3321no—
1740C4—3321no—
1741C4—3321no—
1742C4—1662no—
1743C4—1662no—
1744C4—1662no—
1745C4—1662no—
1746C4—1662no—
1747C2—24no—
1748C2—42no—
1749C2—42no—
1750C2—3322no—
1751C2—3322no—
1752C2—3322no—
1753C2—3322no—
1754C2C2×#1912817411yescharacteristic
1755C2#2492066911yescharacteristic
1756C2C4×#1458183811yescharacteristic
1757C2#2492161211yescharacteristic
1758C2#2492163311yescharacteristic
1759C2#2492176411yescharacteristic
1760C2#2492178011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2339C2
socle, cosocleC23×C83C25
prime radicalC2×#19128265C2
hypercenter#2339D83
hypocenterC83#34406
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #24910638C2semidirect
3. #24910635C2semidirect
4. #24910622C2semidirect
5. #24910617C2semidirect
6. #24910574C2semidirect
7. #24910526C2semidirect
8. #24910513C2semidirect
9. #24910510C2semidirect
10. #24910443C2semidirect
11. #24910443C2semidirect
12. #24910440C2semidirect
13. #24910440C2semidirect
14. #24910325C2semidirect
15. #24910319C2semidirect
16. #24910293C2semidirect
17. #24910275C2semidirect
18. #24910275C2semidirect
19. #24910228C2semidirect
20. #24910225C2semidirect
21. #24910184C2semidirect
22. #24910184C2semidirect
23. #24910166C2semidirect
24. #24910163C2semidirect
25. #24910126C2semidirect
26. #24910117C2semidirect
27. #24910040C2semidirect
28. #24909968C2semidirect
29. C4×#14581760C2semidirect
30. C2×#19127579C2semidirect
31. C83×#2339C2semidirect
34. #19128265C4semidirect
49. C2×C4×C22⋊D83C22semidirect
50. C2×C4×C22⋊D83C22semidirect
51. C2×C4×C22⋊D83C22semidirect
52. C2×C4×C22⋊D83C22semidirect
53. C2×(C22⋊D83)⋊C4C22semidirect
54. C2×(C22⋊D83)⋊C4C22semidirect
55. C2×(C22⋊D83)⋊C4C22semidirect
56. C2×(C22⋊D83)⋊C4C22semidirect
63. #19127608C22semidirect
64. #19127608C22semidirect
65. #19127601C22semidirect
66. #19127601C22semidirect
67. #19127601C22semidirect
68. #19127601C22semidirect
69. #19127601C22semidirect
70. #19127601C22semidirect
71. #19127601C22semidirect
72. #19127601C22semidirect
73. #19127593C22semidirect
74. #19127593C22semidirect
75. #19127593C22semidirect
76. #19127593C22semidirect
77. #19127592C22semidirect
78. #19127592C22semidirect
79. #19127592C22semidirect
80. #19127592C22semidirect
81. #19127591C22semidirect
82. #19127591C22semidirect
83. #19127591C22semidirect
84. #19127591C22semidirect
85. #19127590C22semidirect
86. #19127590C22semidirect
87. #19127590C22semidirect
88. #19127590C22semidirect
89. #19127586C22semidirect
90. #19127586C22semidirect
91. #19127586C22semidirect
92. #19127586C22semidirect
93. #19127584C22semidirect
94. #19127584C22semidirect
95. #19127584C22semidirect
96. #19127584C22semidirect
99. #19127581C22semidirect
100. #19127581C22semidirect
101. #19127580C22semidirect
102. #19127580C22semidirect
103. #19127580C22semidirect
104. #19127580C22semidirect
121. #19127578C22semidirect
122. #19127578C22semidirect
123. #19127578C22semidirect
124. #19127578C22semidirect
125. #19127577C22semidirect
126. #19127577C22semidirect
127. #19127577C22semidirect
128. #19127577C22semidirect
129. #19127577C22semidirect
130. #19127577C22semidirect
131. #19127577C22semidirect
132. #19127577C22semidirect
133. #19127575C22semidirect
134. #19127575C22semidirect
135. #19127575C22semidirect
136. #19127575C22semidirect
141. #19127572C22semidirect
142. #19127572C22semidirect
143. #19127572C22semidirect
144. #19127572C22semidirect
145. #19127568C22semidirect
146. #19127568C22semidirect
147. #19127565C22semidirect
148. #19127565C22semidirect
150. #19127564C22semidirect
151. #19127561C22semidirect
154. #19127552C22semidirect
155. #19127552C22semidirect
158. C4×(C2×D83)⋊C4C22semidirect
159. C4×(C2×D83)⋊C4C22semidirect
160. C4×(C2×D83)⋊C4C22semidirect
161. C4×(C2×D83)⋊C4C22semidirect
164. C4×C22⋊Dic83C22semidirect
165. #19127548C22semidirect
166. #19127548C22semidirect
167. #19127548C22semidirect
168. #19127548C22semidirect
169. #19127546C22semidirect
170. #19127546C22semidirect
172. C2×C83⋊#95C22semidirect
176. #391×C83C22semidirect
177. #391×C83C22semidirect
180. #386×C83C22semidirect
181. #386×C83C22semidirect
183. #381×C83C22semidirect
184. #380×C83C22semidirect
185. C4×C22⋊C4×C83C22semidirect
187. C2×#95×C83C22semidirect
192. C22×D332C2×C4semidirect
220. #14581788C2×C4semidirect
221. #14581788C2×C4semidirect
222. #14581781C2×C4semidirect
223. #14581781C2×C4semidirect
224. #14581766C2×C4semidirect
225. #14581766C2×C4semidirect
226. #14581766C2×C4semidirect
227. #14581766C2×C4semidirect
228. #14581760C2×C4semidirect
229. #14581760C2×C4semidirect
230. #14581760C2×C4semidirect
231. #14581760C2×C4semidirect
242. #14581751C2×C4semidirect
344. C2×#41×C83C2×C4semidirect
433. C2×C22⋊D83C22×C4semidirect
434. C2×C22⋊D83C22×C4semidirect
435. C2×C22⋊D83C22×C4semidirect
436. C2×C22⋊D83C22×C4semidirect
488. C4⋊Dic83C22×C4semidirect
489. C4⋊Dic83C22×C4semidirect
536. (C2×D83)⋊C4C22×C4semidirect
537. (C2×D83)⋊C4C22×C4semidirect
538. (C2×D83)⋊C4C22×C4semidirect
539. (C2×D83)⋊C4C22×C4semidirect
550. C4×Dic83C22×C4semidirect
551. C4×Dic83C22×C4semidirect
558. C2×Q8×C83C22×C4semidirect
567. C2×D4×C83C22×C4semidirect
587. C22×C4×C83C22×C4semidirect
588. C22×C4×C83C22×C4semidirect
897. #2339D83semidirect
912. C83#34406semidirect
949. #391C2×D83semidirect
950. #391C2×D83semidirect
1021. #386C2×D83semidirect
1022. #386C2×D83semidirect
1042. #381C2×D83semidirect
1044. #380C2×D83semidirect
1062. C4×C22⋊C4C2×D83semidirect
1068. C2×#95C2×D83semidirect
1073. C2×#41C4×D83semidirect
1287. C2×Q8C2×C4×D83semidirect
1333. C2×D4C2×C4×D83semidirect
1402. C22×C4C2×C4×D83semidirect
1403. C22×C4C2×C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282652
#249106382
#249106352
#249106222
#249106172
#249105742
#249105262
#249105132
#249105102
#249104432
#249104402
#249103252
#249103192
#249102932
#249102752
#249102282
#249102252
#249101842
#249101662
#249101632
#249101262
#249101172
#249100402
#249099682
C4×#145817602
C2×#191275792
C83×#23392
#3440683