Finite Group Databasebeta

← #35568947

Subgroups — #35568947

Order 21248.

2844 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128343C211yesmaximal, characteristic
2#24910632C211yesmaximal, characteristic, complemented
3#24910619C211yesmaximal, characteristic, complemented
4#24910618C211yesmaximal, characteristic, complemented
5#24910610C211yesmaximal, characteristic, complemented
6#24910547C211yesmaximal, characteristic, complemented
7#24910474C211yesmaximal, characteristic, complemented
8#24910445C211yesmaximal, characteristic, complemented
9#24910439C211yesmaximal, characteristic, complemented
10#24910386C211yesmaximal, characteristic, complemented
11#24910372C211yesmaximal, characteristic, complemented
12#24910313C211yesmaximal, characteristic, complemented
13#24910307C211yesmaximal, characteristic, complemented
14#24910290C211yesmaximal, characteristic, complemented
15D4×(C2×D83)⋊C4C211yesmaximal, characteristic, complemented
16#24910271C211yesmaximal, characteristic, complemented
17#24910256C211yesmaximal, characteristic, complemented
18#24910190C211yesmaximal, characteristic, complemented
19#24910167C211yesmaximal, characteristic, complemented
20#24910161C211yesmaximal, characteristic, complemented
21#24910157C211yesmaximal, characteristic, complemented
22#24910135C211yesmaximal, characteristic, complemented
23#24910116C211yesmaximal, characteristic, complemented
24#24910095C211yesmaximal, characteristic, complemented
25#24910091C211yesmaximal, characteristic, complemented
26#24910074C211yesmaximal, characteristic, complemented
27#24910051C211yesmaximal, characteristic, complemented
28C4×#14581762C211yesmaximal, characteristic, complemented
29#386×D83C211yesmaximal, characteristic, complemented
30C2×#19127575C211yesmaximal, characteristic, complemented
31C83×#2359C211yesmaximal, characteristic, complemented
32C22×#13050590C2211yescharacteristic
33C22×D4×D83C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic
35#19128343C4116yescomplemented
36C2×#14581778C2211yescharacteristic
37C2×#14581777C2211yescharacteristic
38C2×#14581770C2211yescharacteristic
39C2×#14581767C2211yescharacteristic
40C2×#14581765C2211yescharacteristic
41C2×#14581764C2211yescharacteristic
42C2×#14581762C2211yescharacteristic
43C2×#14581762C2211yescharacteristic
44C2×C4×D332C2211yescharacteristic
45C2×C4×D332C2211yescharacteristic, complemented
46C2×D4×Dic83C2211yescharacteristic
47C2×#14581754C2211yescharacteristic
48C2×#14581754C2211yescharacteristic
49C2×C4×C22⋊D83C2211yescharacteristic, complemented
50C2×C4×C22⋊D83C2211yescharacteristic, complemented
51C2×(C22⋊D83)⋊C4C2211yescharacteristic
52C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
53C2×#14581749C2211yescharacteristic, complemented
54C22×C4⋊Dic83C2211yescharacteristic, complemented
55C22×Dic83⋊C4C2211yescharacteristic, complemented
56C22×(C2×D83)⋊C4C2211yescharacteristic
57C22×(C2×D83)⋊C4C2211yescharacteristic
58C22×(C2×D83)⋊C4C2211yescharacteristic
59C2×C22⋊C4×D83C2211yescharacteristic
60C2×C22⋊C4×D83C2211yescharacteristic
61C2×C22⋊C4×D83C2211yescharacteristic
62C2×C22⋊C4×D83C2211yescharacteristic
63#19127607C2211yescharacteristic, complemented
64#19127607C2211yescharacteristic, complemented
65#19127605C2211yescharacteristic, complemented
66#19127605C2211yescharacteristic, complemented
67#19127603C2211yescharacteristic
68#19127603C2211yescharacteristic, complemented
69#19127603C2211yescharacteristic, complemented
70#19127602C2211yescharacteristic
71#19127602C2211yescharacteristic, complemented
72#19127601C2211yescharacteristic, complemented
73#19127600C2211yescharacteristic, complemented
74#19127600C2211yescharacteristic, complemented
75#19127598C2211yescharacteristic, complemented
76#19127595C2211yescharacteristic, complemented
77#19127594C2211yescharacteristic, complemented
78#19127594C2211yescharacteristic, complemented
79#19127593C2211yescharacteristic, complemented
80#19127592C2211yescharacteristic, complemented
81#19127592C2211yescharacteristic, complemented
82#19127592C2211yescharacteristic, complemented
83#19127592C2211yescharacteristic, complemented
84#19127591C2211yescharacteristic, complemented
85#19127591C2211yescharacteristic, complemented
86#19127591C2211yescharacteristic, complemented
87#19127591C2211yescharacteristic, complemented
88#19127590C2211yescharacteristic, complemented
89#19127590C2211yescharacteristic, complemented
90#19127590C2211yescharacteristic, complemented
91#19127589C2211yescharacteristic, complemented
92#19127588C2211yescharacteristic, complemented
93#19127587C2211yescharacteristic, complemented
94#19127587C2211yescharacteristic, complemented
95#19127585C2211yescharacteristic, complemented
96#19127585C2211yescharacteristic, complemented
97#19127583C2211yescharacteristic, complemented
98#19127582C2211yescharacteristic, complemented
99#19127582C2211yescharacteristic, complemented
100#19127581C2211yescharacteristic
101#19127580C2211yescharacteristic
102#19127580C2211yescharacteristic
103#19127580C2211yescharacteristic
104#19127580C2211yescharacteristic, complemented
105#19127579C2211yescharacteristic
106#19127579C2211yescharacteristic
107#19127579C2211yescharacteristic
108#19127579C2211yescharacteristic
109#19127579C2211yescharacteristic, complemented
110#19127579C2211yescharacteristic, complemented
111#19127579C2211yescharacteristic, complemented
112#19127579C2211yescharacteristic, complemented
113#19127578C2211yescharacteristic
114#19127578C2211yescharacteristic
115#19127578C2211yescharacteristic
116#19127578C2211yescharacteristic, complemented
117#19127578C2211yescharacteristic, complemented
118#19127577C2211yescharacteristic
119#19127577C2211yescharacteristic
120#19127577C2211yescharacteristic, complemented
121#19127576C2211yescharacteristic, complemented
122#19127576C2211yescharacteristic, complemented
123#19127576C2211yescharacteristic, complemented
124#19127575C2211yescharacteristic
125#19127575C2211yescharacteristic
126#19127575C2211yescharacteristic
127#19127575C2211yescharacteristic
128#19127575C2211yescharacteristic
129#19127575C2211yescharacteristic, complemented
130#19127575C2211yescharacteristic, complemented
131#19127575C2211yescharacteristic, complemented
132#19127575C2211yescharacteristic, complemented
133#19127575C2211yescharacteristic, complemented
134#19127575C2211yescharacteristic, complemented
135#19127574C2211yescharacteristic, complemented
136#19127573C2211yescharacteristic, complemented
137#19127572C2211yescharacteristic
138#19127572C2211yescharacteristic
139#19127572C2211yescharacteristic
140#19127572C2211yescharacteristic, complemented
141#19127568C2211yescharacteristic, complemented
142#19127566C2211yescharacteristic, complemented
143#19127565C2211yescharacteristic, complemented
144#19127564C2211yescharacteristic, complemented
145#19127563C2211yescharacteristic, complemented
146#19127563C2211yescharacteristic, complemented
147#19127560C2211yescharacteristic, complemented
148#19127560C2211yescharacteristic, complemented
149#19127559C2211yescharacteristic, complemented
150#19127558C2211yescharacteristic
151#19127558C2211yescharacteristic, complemented
152#19127558C2211yescharacteristic, complemented
153#19127558C2211yescharacteristic, complemented
154#19127558C2211yescharacteristic, complemented
155#19127558C2211yescharacteristic, complemented
156#19127556C2211yescharacteristic
157#19127556C2211yescharacteristic
158C4×Dic83⋊C4C2211yescharacteristic, complemented
159#19127552C2211yescharacteristic, complemented
160C22⋊C4×Dic83C2211yescharacteristic, complemented
161C22⋊C4×Dic83C2211yescharacteristic, complemented
162C4×(C2×D83)⋊C4C2211yescharacteristic
163C4×(C2×D83)⋊C4C2211yescharacteristic
164C4×(C2×D83)⋊C4C2211yescharacteristic
165C4×(C2×D83)⋊C4C2211yescharacteristic
166C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
167#19127548C2211yescharacteristic
168#19127548C2211yescharacteristic, complemented
169C2×C83⋊#95C2211yescharacteristic, complemented
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172#95×D83C2211yescharacteristic, complemented
173C2×#123×C83C2211yescharacteristic
174C2×C4×D4×C83C2211yescharacteristic
175C2×#117×C83C2211yescharacteristic, complemented
176#389×C83C2211yescharacteristic, complemented
177#388×C83C2211yescharacteristic, complemented
178#388×C83C2211yescharacteristic, complemented
179#387×C83C2211yescharacteristic, complemented
180#387×C83C2211yescharacteristic, complemented
181#386×C83C2211yescharacteristic
182#385×C83C2211yescharacteristic, complemented
183#385×C83C2211yescharacteristic, complemented
184C4×C4⋊C4×C83C2211yescharacteristic, complemented
185C4×C22⋊C4×C83C2211yescharacteristic, complemented
186C4×C22⋊C4×C83C2211yescharacteristic, complemented
187C2×#95×C83C2211yescharacteristic, complemented
188C24×D83C2311yescharacteristic
189C24×D83C2311yescharacteristic
190C2×#13050590—42no—
191C2×#13050590—42no—
192C2×#13050590C2×C418yescomplemented
193C22×Dic166C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C2×D4×D83—42no—
203C2×D4×D83—42no—
204C2×D4×D83C2×C418yescomplemented
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C22×C4×D83—42no—
210C22×C4×D83—42no—
211C22×C4×D83—42no—
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224#14581778C2×C418yescomplemented
225#14581777C2×C418yescomplemented
226#14581770C2×C418yescomplemented
227#14581767C2×C418yescomplemented
228#14581765C2×C418yescomplemented
229#14581764C2×C418yescomplemented
230#14581762C2×C418yescomplemented
231#14581762C2×C418yescomplemented
232C4×D332—42no—
233C4×D332—42no—
234D4×Dic83—42no—
235#14581754—42no—
236#14581754C2×C418yescomplemented
237C4×C22⋊D83—42no—
238C4×C22⋊D83—42no—
239(C22⋊D83)⋊C4—42no—
240(C22⋊D83)⋊C4C2×C418yescomplemented
241#14581749—42no—
242C2×C4⋊Dic83—42no—
243C2×C4⋊Dic83C2311yescharacteristic
244C2×C4⋊Dic83C2311yescharacteristic
245C2×C4⋊Dic83C2311yescharacteristic
246C2×C4⋊Dic83C2311yescharacteristic
247C2×C4⋊Dic83C2311yescharacteristic
248C2×C4⋊Dic83C2311yescharacteristic
249C2×C4⋊Dic83C2311yescharacteristic
250C2×Dic83⋊C4—42no—
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×(C2×D83)⋊C4—42no—
268C2×(C2×D83)⋊C4—42no—
269C2×(C2×D83)⋊C4C2×C418yescomplemented
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C22⋊C4×D83—42no—
303C22⋊C4×D83—42no—
304C22⋊C4×D83—42no—
305C22⋊C4×D83C2×C418yescomplemented
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
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C22×D4×C83C2311yescharacteristic
345C23×C4×C83C2311yescharacteristic
346C23×C4×C83C2311yescharacteristic
347C23×C4×C83C2311yescharacteristic
348C23×C4×C83C2311yescharacteristic
349#123×C83C2×C418yescomplemented
350C4×D4×C83—42no—
351#117×C83—42no—
352C2×C4⋊C4×C83C2311yescharacteristic
353C2×C4⋊C4×C83C2311yescharacteristic
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C4⋊C4×C83C2311yescharacteristic
356C2×C4⋊C4×C83C2311yescharacteristic
357C2×C4⋊C4×C83C2311yescharacteristic
358C2×C4⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C22⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C42×C83C2311yescharacteristic
368C2×C42×C83C2311yescharacteristic
369C2×C42×C83C2311yescharacteristic
370C2×C42×C83C2311yescharacteristic
371C2×C42×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375#95×C83C2311yescharacteristic
376#95×C83C2311yescharacteristic
377#95×C83C2311yescharacteristic
378#95×C83C2311yescharacteristic
379#95×C83C2311yescharacteristic
380#95×C83C2311yescharacteristic
381#95×C83C2311yescharacteristic
382C23×D83—22no—
383C23×D83—22no—
384C23×D83—22no—
385C23×D83—22no—
386C23×D83—22no—
387C23×D83—22no—
388C23×D83—41no—
389C23×D83—41no—
390C23×D83—41no—
391C23×D83—41no—
392C23×D83—41no—
393C23×D83—41no—
394C23×D83C22×C414yes—
395C23×D83C22×C414yes—
396C23×D83C2411yescharacteristic
397C23×D83C2411yescharacteristic
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400#13050590—416no—
401C2×Dic166—41no—
402C2×Dic166—41no—
403C2×Dic166C22×C414yescomplemented
404C2×D332—22no—
405C2×D332—22no—
406C2×D332—41no—
407C2×D332—41no—
408C2×D332—41no—
409C2×D332—41no—
410C2×D332—41no—
411C2×D332—41no—
412C2×D332C22×C414yes—
413C2×D332C22×C414yes—
414C2×D332C22×C414yes—
415C2×D332C22×C414yescomplemented
416C2×C22⋊D83—22no—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—22no—
420C2×C22⋊D83—41no—
421C2×C22⋊D83—41no—
422C2×C22⋊D83—41no—
423C2×C22⋊D83—41no—
424C2×C22⋊D83C22×C414yes—
425C2×C22⋊D83C22×C414yes—
426C2×C22⋊D83C22×C414yes—
427C2×C22⋊D83C22×C414yescomplemented
428D4×D83—416no—
429C22×Dic83—22no—
430C22×Dic83—22no—
431C22×Dic83—41no—
432C22×Dic83—41no—
433C22×Dic83—41no—
434C22×Dic83—41no—
435C22×Dic83—41no—
436C22×Dic83—41no—
437C22×Dic83—41no—
438C22×Dic83—41no—
439C22×Dic83—41no—
440C22×Dic83C22×C414yes—
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C22×Dic83C2411yescharacteristic
448C22×Dic83C2411yescharacteristic
449C22×Dic83C2411yescharacteristic
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C2×C4×D83—22no—
454C2×C4×D83—22no—
455C2×C4×D83—22no—
456C2×C4×D83—22no—
457C2×C4×D83—22no—
458C2×C4×D83—22no—
459C2×C4×D83—22no—
460C2×C4×D83—41no—
461C2×C4×D83—41no—
462C2×C4×D83—41no—
463C2×C4×D83—41no—
464C2×C4×D83—41no—
465C2×C4×D83—41no—
466C2×C4×D83—41no—
467C2×C4×D83—41no—
468C2×C4×D83—41no—
469C2×C4×D83—41no—
470C2×C4×D83—41no—
471C2×C4×D83—41no—
472C2×C4×D83—41no—
473C2×C4×D83—41no—
474C2×C4×D83—41no—
475C2×C4×D83—41no—
476C2×C4×D83—416no—
477C2×C4×D83—41no—
478C2×C4×D83—41no—
479C2×C4×D83—41no—
480C2×C4×D83—41no—
481C2×C4×D83—41no—
482C2×C4×D83—41no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83C22×C414yes—
487C2×C4×D83C22×C414yescomplemented
488C2×C4×D83C22×C414yescomplemented
489C2×C4×D83C22×C414yescomplemented
490C4⋊Dic83—41no—
491C4⋊Dic83—41no—
492C4⋊Dic83—41no—
493C4⋊Dic83—41no—
494C4⋊Dic83—41no—
495C4⋊Dic83—41no—
496C4⋊Dic83—41no—
497Dic83⋊C4—22no—
498Dic83⋊C4—22no—
499Dic83⋊C4—41no—
500Dic83⋊C4—41no—
501Dic83⋊C4—41no—
502Dic83⋊C4—41no—
503Dic83⋊C4—41no—
504Dic83⋊C4—41no—
505Dic83⋊C4C22×C414yescomplemented
506Dic83⋊C4C22×C414yescomplemented
507C22⋊Dic83—22no—
508C22⋊Dic83—22no—
509C22⋊Dic83—41no—
510C22⋊Dic83—41no—
511C22⋊Dic83—41no—
512C22⋊Dic83C22×C414yescomplemented
513(C2×D83)⋊C4—22no—
514(C2×D83)⋊C4—22no—
515(C2×D83)⋊C4—22no—
516(C2×D83)⋊C4—22no—
517(C2×D83)⋊C4—22no—
518(C2×D83)⋊C4—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)⋊C4—41no—
533(C2×D83)⋊C4—41no—
534(C2×D83)⋊C4—41no—
535(C2×D83)⋊C4—41no—
536(C2×D83)⋊C4—41no—
537(C2×D83)⋊C4C22×C414yes—
538(C2×D83)⋊C4C22×C414yes—
539(C2×D83)⋊C4C22×C414yes—
540(C2×D83)⋊C4C22×C414yes—
541(C2×D83)⋊C4C22×C414yes—
542(C2×D83)⋊C4C22×C414yes—
543(C2×D83)⋊C4C22×C414yescomplemented
544(C2×D83)⋊C4C22×C414yescomplemented
545C4×Dic83—41no—
546C4×Dic83—41no—
547C4×Dic83—41no—
548C4×Dic83—41no—
549C4×Dic83—41no—
550C4×Dic83—41no—
551C4×Dic83—41no—
552C4×Dic83C22×C414yescomplemented
553C24×C83C2411yescharacteristic
554C24×C83C2411yescharacteristic
555C2×D4×C83—22no—
556C2×D4×C83—22no—
557C2×D4×C83C22×C414yes—
558C22×C4×C83—22no—
559C22×C4×C83—22no—
560C22×C4×C83—22no—
561C22×C4×C83—22no—
562C22×C4×C83—22no—
563C22×C4×C83—41no—
564C22×C4×C83—41no—
565C22×C4×C83—41no—
566C22×C4×C83—41no—
567C22×C4×C83—41no—
568C22×C4×C83—41no—
569C22×C4×C83C22×C414yes—
570C22×C4×C83C2411yescharacteristic
571C22×C4×C83C2411yescharacteristic
572C22×C4×C83C2411yescharacteristic
573C22×C4×C83C2411yescharacteristic
574C22×C4×C83C2411yescharacteristic
575C22×C4×C83C2411yescharacteristic
576C22×C4×C83C2411yescharacteristic
577C22×C4×C83C2411yescharacteristic
578C22×C4×C83C2411yescharacteristic
579C22×C4×C83C2411yescharacteristic
580C22×C4×C83C2411yescharacteristic
581C22×C4×C83C2411yescharacteristic
582C22×C4×C83C2411yescharacteristic
583C4⋊C4×C83—41no—
584C4⋊C4×C83—41no—
585C4⋊C4×C83—41no—
586C4⋊C4×C83—41no—
587C4⋊C4×C83—41no—
588C4⋊C4×C83C22×C414yescomplemented
589C4⋊C4×C83C22×C414yescomplemented
590C22⋊C4×C83—22no—
591C22⋊C4×C83—22no—
592C22⋊C4×C83—22no—
593C22⋊C4×C83—41no—
594C22⋊C4×C83—41no—
595C22⋊C4×C83C22×C414yes—
596C22⋊C4×C83C22×C414yescomplemented
597C22⋊C4×C83C22×C414yescomplemented
598C42×C83—22no—
599C42×C83—41no—
600C42×C83—41no—
601C42×C83—41no—
602C42×C83—41no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—21no—
611C23×C83—21no—
612C23×C83—21no—
613C23×C83C23×C412yes—
614C23×C83C23×C412yes—
615C23×C83H(5,𝔽2)12yes—
616C23×C83H(5,𝔽2)12yes—
617C23×C83C2511yescharacteristic
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—28no—
623C22×D83—21no—
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×D83—21no—
629C22×D83—21no—
630C22×D83—21no—
631C22×D83—21no—
632C22×D83—21no—
633C22×D83—21no—
634C22×D83—21no—
635C22×D83—21no—
636C22×D83—21no—
637C22×D83—21no—
638C22×D83—21no—
639C22×D83—21no—
640C22×D83—21no—
641C22×D83—28no—
642C22×D83—28no—
643C22×D83—44no—
644C22×D83—44no—
645C22×D83—44no—
646C22×D83—44no—
647C22×D83—44no—
648C22×D83—44no—
649C22×D83—44no—
650C22×D83—82no—
651C22×D83—82no—
652C22×D83—82no—
653C22×D83—82no—
654C22×D83C23×C412yes—
655C22×D83C23×C412yes—
656C22×D83C23×C412yes—
657C22×D83C23×C412yes—
658C22×D83H(5,𝔽2)12yes—
659C22×D832−1+412yes—
660D4×C83—28no—
661C2×C4×C83—28no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—21no—
679C2×C4×C83—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—21no—
685C2×C4×C83—21no—
686C2×C4×C83—21no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—21no—
690C2×C4×C83—21no—
691C2×C4×C83—21no—
692C2×C4×C83—21no—
693C2×C4×C83—21no—
694C2×C4×C83—21no—
695C2×C4×C83—44no—
696C2×C4×C83—82no—
697C2×C4×C83—82no—
698C2×C4×C83C23×C412yes—
699C2×C4×C83C23×C412yes—
700C2×C4×C83C23×C412yes—
701C2×C4×C83C23×C412yes—
702C2×C4×C83C23×C412yes—
703C2×C4×C83H(5,𝔽2)12yes—
704C22⋊D83—28no—
705C22⋊D83—28no—
706C22⋊D83—44no—
707C22⋊D83—44no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717C2×Dic83—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—21no—
725C2×Dic83—21no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—21no—
729C2×Dic83—21no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—21no—
735C2×Dic83—21no—
736C2×Dic83—21no—
737C2×Dic83—21no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—44no—
741C2×Dic83—44no—
742C2×Dic83—82no—
743C2×Dic83—82no—
744C2×Dic83C23×C412yes—
745C2×Dic83C23×C412yes—
746C2×Dic83C23×C412yes—
747C2×Dic83C23×C412yes—
748D332—28no—
749D332—44no—
750D332—44no—
751D332—44no—
752C4×D83—44no—
753C4×D83—44no—
754C4×D83—44no—
755C4×D83—44no—
756C4×D83—44no—
757C4×D83—44no—
758C4×D83—44no—
759C4×D83—44no—
760C4×D83—82no—
761C4×D83—82no—
762C4×D83—82no—
763C4×D83—82no—
764Dic166—44no—
765C22×C83—22no—
766C22×C83—22no—
767C22×C83—22no—
768C22×C83—22no—
769C22×C83—22no—
770C22×C83—22no—
771C22×C83—22no—
772C22×C83—22no—
773C22×C83—22no—
774C22×C83—41no—
775C22×C83—41no—
776C22×C83—41no—
777C22×C83—41no—
778C22×C83#51814yes—
779C22×C83C24×C411yescharacteristic
780C22×C83C2×H(5,𝔽2)11yescharacteristic
781C22×C83C2×H(5,𝔽2)11yescharacteristic
782C22×C83C2×H(5,𝔽2)11yescharacteristic
783C22×C83C2×H(5,𝔽2)11yescharacteristic
784C22×C83C2×2−1+411yescharacteristic
785C22×C83#58511yescharacteristic
786C2×D83—22no—
787C2×D83—22no—
788C2×D83—22no—
789C2×D83—22no—
790C2×D83—22no—
791C2×D83—22no—
792C2×D83—22no—
793C2×D83—22no—
794C2×D83—22no—
795C2×D83—22no—
796C2×D83—22no—
797C2×D83—22no—
798C2×D83—22no—
799C2×D83—22no—
800C2×D83—22no—
801C2×D83—416no—
802C2×D83—41no—
803C2×D83—41no—
804C2×D83—41no—
805C2×D83—41no—
806C2×D83—41no—
807C2×D83—41no—
808C2×D83—41no—
809C2×D83—41no—
810C2×D83—41no—
811C2×D83—41no—
812C2×D83—41no—
813C2×D83—41no—
814C2×D83—88no—
815C2×D83#52014yes—
816C4×C83—22no—
817C4×C83—22no—
818C4×C83—22no—
819C4×C83—22no—
820C4×C83—22no—
821C4×C83—22no—
822C4×C83—41no—
823C4×C83—41no—
824C4×C83—41no—
825C4×C83—41no—
826C4×C83—41no—
827C4×C83—41no—
828C4×C83—41no—
829Dic83—22no—
830Dic83—22no—
831Dic83—22no—
832Dic83—22no—
833Dic83—41no—
834Dic83—41no—
835Dic83—41no—
836Dic83—41no—
837Dic83—41no—
838Dic83—41no—
839Dic83—41no—
840Dic83—41no—
841#34456—831nomaximal, Sylow
842C2×C83—24no—
843C2×C83—42no—
844C2×C83C2×#51811yescharacteristic
845C2×C83C2×#52011yescharacteristic
846C2×C83C4×H(5,𝔽2)11yescharacteristic
847C2×C83#353211yescharacteristic
848C2×C83#353411yescharacteristic
849C2×C83#353511yescharacteristic
850C2×C83#353611yescharacteristic
851D83—24no—
852D83—42no—
853D83—42no—
854D83—42no—
855C2×#546—831no—
856#2379—831no—
857#2377—831no—
858#2377—831no—
859#2376—831no—
860#2368—831no—
861#2361—831no—
862#2359D8311yescharacteristic, complemented
863#2358—831no—
864#2358—831no—
865#2352—831no—
866#2349—831no—
867#2342—831no—
868#2342—831no—
869#2339—831no—
870D4×C22⋊C4—831no—
871#2337—831no—
872#2335—831no—
873#2329—831no—
874#2325—831no—
875#2325—831no—
876#2324—831no—
877#2322—831no—
878#2321—831no—
879#2318—831no—
880#2318—831no—
881#2315—831no—
882#2311—831no—
883C4×#120—831no—
884C2×#386—831no—
885C2×#385—831no—
886C83#3445611yescharacteristic, complemented, Sylow
887C22×#41—831no—
888C23×D4—831no—
889C24×C4—831no—
890#546—8316no—
891C2×#124—831no—
892C2×#123—831no—
893C2×#123C2×D8311yescharacteristic
894C2×C22⋊Q8—831no—
895C2×#121—831no—
896C2×#121—831no—
897C2×#121—831no—
898C2×#120—831no—
899C2×#120—831no—
900C2×C4×D4—831no—
901C2×C4×D4—831no—
902C2×C4×D4—831no—
903C2×C4×D4—831no—
904C2×C4×D4—831no—
905C2×C4×D4—831no—
906C2×C4×D4—831no—
907C2×C4×D4—831no—
908C2×C4×D4—831no—
909C2×C4×D4C2×D8311yescharacteristic
910C2×#117—831no—
911C2×#117C2×D8311yescharacteristic, complemented
912C22×C4⋊C4—831no—
913C22×C4⋊C4—831no—
914C22×C22⋊C4—831no—
915C22×C22⋊C4—831no—
916C22×C22⋊C4—831no—
917C22×C22⋊C4—831no—
918C22×C22⋊C4—831no—
919C22×C22⋊C4—831no—
920C22×C22⋊C4—831no—
921#391—831no—
922#391—831no—
923#391—831no—
924#391—831no—
925#390—831no—
926#390—831no—
927#390—831no—
928#390—831no—
929#390—831no—
930#390—831no—
931#389—831no—
932#389—831no—
933#389—831no—
934#389C2×D8311yescharacteristic, complemented
935#388—831no—
936#388—831no—
937#388—831no—
938#388—831no—
939#388—831no—
940#388—831no—
941#388—831no—
942#388—831no—
943#388—831no—
944#388—831no—
945#388—831no—
946#388—831no—
947#388—831no—
948#388—831no—
949#388—831no—
950#388—831no—
951#388C2×D8311yescharacteristic, complemented
952#388C2×D8311yescharacteristic, complemented
953#387—831no—
954#387—831no—
955#387—831no—
956#387—831no—
957#387—831no—
958#387—831no—
959#387—831no—
960#387—831no—
961#387C2×D8311yescharacteristic, complemented
962#387C2×D8311yescharacteristic, complemented
963#386—831no—
964#386—831no—
965#386—831no—
966#386—831no—
967#386—831no—
968#386—831no—
969#386—831no—
970#386—831no—
971#386—831no—
972#386—831no—
973#386—831no—
974#386—831no—
975#386—831no—
976#386—831no—
977#386—831no—
978#386—831no—
979#386—831no—
980#386—831no—
981#386—831no—
982#386—831no—
983#386—831no—
984#386C2×D8311yescharacteristic
985#385—831no—
986#385—831no—
987#385—831no—
988#385—831no—
989#385—831no—
990#385—831no—
991#385—831no—
992#385—831no—
993#385—831no—
994#385—831no—
995#385—831no—
996#385—831no—
997#385—831no—
998#385—831no—
999#385—831no—
1000#385—831no—
1001#385—831no—
1002#385—831no—
1003#385—831no—
1004#385—831no—
1005#385C2×D8311yescharacteristic, complemented
1006#385C2×D8311yescharacteristic, complemented
1007#383—831no—
1008#382—831no—
1009#382—831no—
1010#381—831no—
1011#381—831no—
1012#381—831no—
1013#380—831no—
1014#380—831no—
1015#380—831no—
1016#380—831no—
1017#380—831no—
1018#380—831no—
1019#380—831no—
1020#380—831no—
1021#380—831no—
1022#379—831no—
1023#379—831no—
1024C4×C4⋊C4—831no—
1025C4×C4⋊C4—831no—
1026C4×C4⋊C4C2×D8311yescharacteristic, complemented
1027C4×C22⋊C4—831no—
1028C4×C22⋊C4—831no—
1029C4×C22⋊C4—831no—
1030C4×C22⋊C4—831no—
1031C4×C22⋊C4—831no—
1032C4×C22⋊C4—831no—
1033C4×C22⋊C4—831no—
1034C4×C22⋊C4—831no—
1035C4×C22⋊C4—831no—
1036C4×C22⋊C4C2×D8311yescharacteristic, complemented
1037C4×C22⋊C4C2×D8311yescharacteristic, complemented
1038C2×#95—831no—
1039C2×#95—831no—
1040C2×#95—831no—
1041C2×#95—831no—
1042C2×#95C2×D8311yescharacteristic, complemented
1043C25—831no—
1044C25—831no—
1045C2×#41—3322no—
1046C2×#41—3322no—
1047C2×#41—838no—
1048C22×Q8—831no—
1049C22×D4—3322no—
1050C22×D4—3322no—
1051C22×D4—831no—
1052C22×D4—831no—
1053C22×D4—838no—
1054C22×D4—831no—
1055C22×D4—831no—
1056C22×D4—831no—
1057C22×D4—831no—
1058C22×D4—831no—
1059C22×D4—831no—
1060C22×D4C22×D8311yescharacteristic
1061C23×C4—3322no—
1062C23×C4—3322no—
1063C23×C4—3322no—
1064C23×C4—831no—
1065C23×C4—831no—
1066C23×C4—831no—
1067C23×C4—831no—
1068C23×C4—831no—
1069C23×C4—831no—
1070C23×C4—831no—
1071C23×C4—831no—
1072C23×C4—831no—
1073C23×C4—831no—
1074C23×C4—831no—
1075C23×C4—831no—
1076C23×C4—831no—
1077C23×C4—831no—
1078C23×C4—831no—
1079C23×C4—831no—
1080C23×C4C22×D8311yescharacteristic
1081C23×C4C22×D8311yescharacteristic
1082C23×C4C22×D8311yescharacteristic
1083C23×C4C22×D8311yescharacteristic
1084#124—838no—
1085#123—838no—
1086#123C4×D8318yescomplemented
1087C22⋊Q8—838no—
1088#121—838no—
1089#121—838no—
1090#121—838no—
1091#120—838no—
1092#120—838no—
1093C4×D4—42no—
1094C4×D4—3322no—
1095C4×D4—3322no—
1096C4×D4—3322no—
1097C4×D4—3322no—
1098C4×D4—3322no—
1099C4×D4—3322no—
1100C4×D4—3322no—
1101C4×D4—838no—
1102C4×D4—838no—
1103#117—42no—
1104#117—3322no—
1105C2×C4⋊C4—3322no—
1106C2×C4⋊C4—3322no—
1107C2×C4⋊C4—831no—
1108C2×C4⋊C4—831no—
1109C2×C4⋊C4—831no—
1110C2×C4⋊C4—831no—
1111C2×C4⋊C4—831no—
1112C2×C4⋊C4—831no—
1113C2×C4⋊C4—831no—
1114C2×C4⋊C4—831no—
1115C2×C4⋊C4—831no—
1116C2×C4⋊C4—831no—
1117C2×C4⋊C4—831no—
1118C2×C4⋊C4—831no—
1119C2×C4⋊C4—831no—
1120C2×C4⋊C4—831no—
1121C2×C4⋊C4—831no—
1122C2×C4⋊C4—831no—
1123C2×C4⋊C4—831no—
1124C2×C4⋊C4C22×D8311yescharacteristic
1125C2×C4⋊C4C22×D8311yescharacteristic
1126C2×C4⋊C4C22×D8311yescharacteristic
1127C2×C4⋊C4C22×D8311yescharacteristic
1128C2×C4⋊C4C22×D8311yescharacteristic
1129C2×C4⋊C4C22×D8311yescharacteristic
1130C2×C4⋊C4C22×D8311yescharacteristic
1131C2×C22⋊C4—3322no—
1132C2×C22⋊C4—3322no—
1133C2×C22⋊C4—3322no—
1134C2×C22⋊C4—3322no—
1135C2×C22⋊C4—3322no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4—831no—
1138C2×C22⋊C4—831no—
1139C2×C22⋊C4—831no—
1140C2×C22⋊C4—831no—
1141C2×C22⋊C4—831no—
1142C2×C22⋊C4—831no—
1143C2×C22⋊C4—831no—
1144C2×C22⋊C4—831no—
1145C2×C22⋊C4—831no—
1146C2×C22⋊C4—831no—
1147C2×C22⋊C4—831no—
1148C2×C22⋊C4—831no—
1149C2×C22⋊C4—831no—
1150C2×C22⋊C4—831no—
1151C2×C22⋊C4—831no—
1152C2×C22⋊C4—831no—
1153C2×C22⋊C4—831no—
1154C2×C22⋊C4—831no—
1155C2×C22⋊C4—831no—
1156C2×C22⋊C4—831no—
1157C2×C22⋊C4—831no—
1158C2×C22⋊C4—831no—
1159C2×C22⋊C4—838no—
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—838no—
1169C2×C22⋊C4—831no—
1170C2×C22⋊C4—831no—
1171C2×C22⋊C4—831no—
1172C2×C22⋊C4—831no—
1173C2×C22⋊C4—831no—
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—831no—
1176C2×C22⋊C4C22×D8311yescharacteristic
1177C2×C22⋊C4C22×D8311yescharacteristic
1178C2×C22⋊C4C22×D8311yescharacteristic
1179C2×C22⋊C4C22×D8311yescharacteristic
1180C2×C22⋊C4C22×D8311yescharacteristic
1181C2×C22⋊C4C22×D8311yescharacteristic
1182C2×C22⋊C4C22×D8311yescharacteristic
1183C2×C22⋊C4C22×D8311yescharacteristic
1184C2×C42—831no—
1185C2×C42—831no—
1186C2×C42—831no—
1187C2×C42—831no—
1188C2×C42—831no—
1189C2×C42—831no—
1190C2×C42—831no—
1191C2×C42—831no—
1192C2×C42C22×D8311yescharacteristic
1193C2×C42C22×D8311yescharacteristic
1194C2×C42C22×D8311yescharacteristic
1195C2×C42C22×D8311yescharacteristic
1196C2×C42C22×D8311yescharacteristic
1197#95—831no—
1198#95—831no—
1199#95—831no—
1200#95—831no—
1201#95—831no—
1202#95—831no—
1203#95—831no—
1204#95—831no—
1205#95—831no—
1206#95—831no—
1207#95—831no—
1208#95—831no—
1209#95—831no—
1210#95—831no—
1211#95—831no—
1212#95—831no—
1213#95—831no—
1214#95—831no—
1215#95—831no—
1216#95—831no—
1217#95—831no—
1218#95—831no—
1219#95—831no—
1220#95—831no—
1221#95—831no—
1222#95—831no—
1223#95—831no—
1224#95—831no—
1225#95—831no—
1226#95—831no—
1227#95C22×D8311yescharacteristic
1228#95C22×D8311yescharacteristic
1229#95C22×D8311yescharacteristic
1230#95C22×D8311yescharacteristic
1231#95C22×D8311yescharacteristic
1232#95C22×D8311yescharacteristic
1233#95C22×D8311yescharacteristic
1234#95C22×D8311yescharacteristic
1235#95C22×D8311yescharacteristic
1236#95C22×D8311yescharacteristic
1237C24—3321no—
1238C24—3321no—
1239C24—3321no—
1240C24—3321no—
1241C24—3321no—
1242C24—3321no—
1243C24—834no—
1244C24—834no—
1245C24—831no—
1246C24—831no—
1247C24—831no—
1248C24—831no—
1249C24—1662no—
1250C24—1662no—
1251C24—1662no—
1252C24—1662no—
1253C24—1662no—
1254C24—1662no—
1255C24C23×D8311yescharacteristic
1256C24C23×D8311yescharacteristic
1257#41—33216no—
1258C2×Q8—3321no—
1259C2×Q8—3321no—
1260C2×Q8—834no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—3321no—
1264C2×D4—3321no—
1265C2×D4—3321no—
1266C2×D4—3321no—
1267C2×D4—3321no—
1268C2×D4—3321no—
1269C2×D4—33216no—
1270C2×D4—3321no—
1271C2×D4—3321no—
1272C2×D4—3321no—
1273C2×D4—3321no—
1274C2×D4—834no—
1275C2×D4—834no—
1276C2×D4—834no—
1277C2×D4—834no—
1278C2×D4—834no—
1279C2×D4—834no—
1280C2×D4—834no—
1281C2×D4—834no—
1282C2×D4—1662no—
1283C2×D4—1662no—
1284C2×D4—1662no—
1285C2×D4—1662no—
1286C2×D4—1662no—
1287C2×D4—1662no—
1288C2×D4C2×C4×D8314yes—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—3321no—
1301C22×C4—3321no—
1302C22×C4—3321no—
1303C22×C4—3321no—
1304C22×C4—3321no—
1305C22×C4—3321no—
1306C22×C4—3321no—
1307C22×C4—3321no—
1308C22×C4—3321no—
1309C22×C4—3321no—
1310C22×C4—3321no—
1311C22×C4—3321no—
1312C22×C4—3321no—
1313C22×C4—3321no—
1314C22×C4—3321no—
1315C22×C4—3321no—
1316C22×C4—3321no—
1317C22×C4—3321no—
1318C22×C4—3321no—
1319C22×C4—3321no—
1320C22×C4—3321no—
1321C22×C4—3321no—
1322C22×C4—3321no—
1323C22×C4—3321no—
1324C22×C4—3321no—
1325C22×C4—33216no—
1326C22×C4—3321no—
1327C22×C4—3321no—
1328C22×C4—3321no—
1329C22×C4—3321no—
1330C22×C4—3321no—
1331C22×C4—3321no—
1332C22×C4—3321no—
1333C22×C4—3321no—
1334C22×C4—3321no—
1335C22×C4—834no—
1336C22×C4—834no—
1337C22×C4—834no—
1338C22×C4—834no—
1339C22×C4—834no—
1340C22×C4—831no—
1341C22×C4—831no—
1342C22×C4—831no—
1343C22×C4—831no—
1344C22×C4—831no—
1345C22×C4—831no—
1346C22×C4—831no—
1347C22×C4—831no—
1348C22×C4—831no—
1349C22×C4—831no—
1350C22×C4—831no—
1351C22×C4—831no—
1352C22×C4—1662no—
1353C22×C4—1662no—
1354C22×C4—1662no—
1355C22×C4—1662no—
1356C22×C4—1662no—
1357C22×C4—1662no—
1358C22×C4—1662no—
1359C22×C4—1662no—
1360C22×C4—1662no—
1361C22×C4C2×C4×D8314yes—
1362C22×C4C23×D8311yescharacteristic
1363C22×C4C23×D8311yescharacteristic
1364C22×C4C23×D8311yescharacteristic
1365C22×C4C23×D8311yescharacteristic
1366C22×C4C23×D8311yescharacteristic
1367C22×C4C23×D8311yescharacteristic
1368C22×C4C23×D8311yescharacteristic
1369C22×C4C23×D8311yescharacteristic
1370C22×C4C23×D8311yescharacteristic
1371C22×C4C23×D8311yescharacteristic
1372C22×C4C23×D8311yescharacteristic
1373C22×C4C23×D8311yescharacteristic
1374C22×C4C23×D8311yescharacteristic
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—3321no—
1381C4⋊C4—3321no—
1382C4⋊C4—3321no—
1383C4⋊C4—3321no—
1384C4⋊C4—3321no—
1385C4⋊C4—3321no—
1386C4⋊C4—3321no—
1387C4⋊C4—3321no—
1388C4⋊C4—3321no—
1389C4⋊C4—3321no—
1390C4⋊C4—3321no—
1391C4⋊C4—3321no—
1392C4⋊C4—3321no—
1393C4⋊C4—834no—
1394C4⋊C4—834no—
1395C4⋊C4—1662no—
1396C4⋊C4—1662no—
1397C4⋊C4C2×C4×D8314yescomplemented
1398C4⋊C4C2×C4×D8314yescomplemented
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—3321no—
1405C22⋊C4—3321no—
1406C22⋊C4—3321no—
1407C22⋊C4—3321no—
1408C22⋊C4—3321no—
1409C22⋊C4—3321no—
1410C22⋊C4—3321no—
1411C22⋊C4—3321no—
1412C22⋊C4—3321no—
1413C22⋊C4—3321no—
1414C22⋊C4—3321no—
1415C22⋊C4—3321no—
1416C22⋊C4—3321no—
1417C22⋊C4—3321no—
1418C22⋊C4—3321no—
1419C22⋊C4—3321no—
1420C22⋊C4—3321no—
1421C22⋊C4—3321no—
1422C22⋊C4—3321no—
1423C22⋊C4—3321no—
1424C22⋊C4—3321no—
1425C22⋊C4—3321no—
1426C22⋊C4—834no—
1427C22⋊C4—834no—
1428C22⋊C4—834no—
1429C22⋊C4—834no—
1430C22⋊C4—834no—
1431C22⋊C4—834no—
1432C22⋊C4—834no—
1433C22⋊C4—834no—
1434C22⋊C4—834no—
1435C22⋊C4—1662no—
1436C22⋊C4—1662no—
1437C22⋊C4—1662no—
1438C22⋊C4—1662no—
1439C22⋊C4—1662no—
1440C22⋊C4—1662no—
1441C22⋊C4—1662no—
1442C22⋊C4C2×C4×D8314yes—
1443C22⋊C4C2×C4×D8314yescomplemented
1444C22⋊C4C2×C4×D8314yescomplemented
1445C42—22no—
1446C42—41no—
1447C42—41no—
1448C42—41no—
1449C42—41no—
1450C42—3321no—
1451C42—3321no—
1452C42—3321no—
1453C42—3321no—
1454C42—3321no—
1455C42—3321no—
1456C42—3321no—
1457C42—834no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—3324no—
1469C23—3324no—
1470C23—3324no—
1471C23—3324no—
1472C23—3324no—
1473C23—3324no—
1474C23—3324no—
1475C23—832no—
1476C23—832no—
1477C23—832no—
1478C23—832no—
1479C23—832no—
1480C23—832no—
1481C23—6642no—
1482C23—6642no—
1483C23—6642no—
1484C23—6642no—
1485C23—1668no—
1486C23—1668no—
1487C23—1668no—
1488C23—1661no—
1489C23—1661no—
1490C23—1661no—
1491C23—1661no—
1492C23—1661no—
1493C23—1661no—
1494C23—1661no—
1495C23—1661no—
1496C23—1661no—
1497C23—1661no—
1498C23—1661no—
1499C23—1661no—
1500C23—1661no—
1501C23—1661no—
1502C23—1661no—
1503C23—1661no—
1504C23—1661no—
1505C23—1661no—
1506C23—1661no—
1507C23—1661no—
1508C23—1661no—
1509C23—1661no—
1510C23C22×C4×D8312yes—
1511C23C22×C4×D8312yes—
1512C23#1458183712yes—
1513C23#1458183812yes—
1514C23C24×D8311yescharacteristic
1515Q8—3324no—
1516D4—28no—
1517D4—3324no—
1518D4—3324no—
1519D4—3324no—
1520D4—3324no—
1521D4—3324no—
1522D4—1668no—
1523D4—1668no—
1524D4—1668no—
1525C2×C4—28no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—44no—
1560C2×C4—82no—
1561C2×C4—82no—
1562C2×C4—3324no—
1563C2×C4—3324no—
1564C2×C4—3324no—
1565C2×C4—3324no—
1566C2×C4—3324no—
1567C2×C4—3324no—
1568C2×C4—3324no—
1569C2×C4—3324no—
1570C2×C4—3324no—
1571C2×C4—3324no—
1572C2×C4—832no—
1573C2×C4—832no—
1574C2×C4—832no—
1575C2×C4—832no—
1576C2×C4—6642no—
1577C2×C4—6642no—
1578C2×C4—6642no—
1579C2×C4—6642no—
1580C2×C4—6642no—
1581C2×C4—6642no—
1582C2×C4—1661no—
1583C2×C4—1661no—
1584C2×C4—1661no—
1585C2×C4—1661no—
1586C2×C4—1661no—
1587C2×C4—1661no—
1588C2×C4—1661no—
1589C2×C4—1661no—
1590C2×C4—1661no—
1591C2×C4—1661no—
1592C2×C4—1661no—
1593C2×C4—1661no—
1594C2×C4—1661no—
1595C2×C4—1661no—
1596C2×C4—1661no—
1597C2×C4—1661no—
1598C2×C4—1661no—
1599C2×C4—1661no—
1600C2×C4—1661no—
1601C2×C4—1661no—
1602C2×C4—1661no—
1603C2×C4—1661no—
1604C2×C4—1661no—
1605C2×C4—1661no—
1606C2×C4—1661no—
1607C2×C4—1661no—
1608C2×C4—1661no—
1609C2×C4—1661no—
1610C2×C4—1661no—
1611C2×C4—1661no—
1612C2×C4—1661no—
1613C2×C4—1661no—
1614C2×C4C22×C4×D8312yes—
1615C2×C4C22×C4×D8312yes—
1616C2×C4C22×C4×D8312yes—
1617C2×C4C22×C4×D8312yes—
1618C2×C4C22×C4×D8312yes—
1619C2×C4#1458183812yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—33216no—
1634C22—3321no—
1635C22—3321no—
1636C22—3321no—
1637C22—3321no—
1638C22—3321no—
1639C22—3321no—
1640C22—3321no—
1641C22—3321no—
1642C22—3321no—
1643C22—3321no—
1644C22—3321no—
1645C22—3321no—
1646C22—834no—
1647C22—6648no—
1648C22—1662no—
1649C22—1662no—
1650C22—1662no—
1651C22—1662no—
1652C22—1662no—
1653C22—1662no—
1654C22—1662no—
1655C22—1662no—
1656C22—1662no—
1657C22—1662no—
1658C22—1662no—
1659C22—1662no—
1660C22—1662no—
1661C22—1662no—
1662C22—1662no—
1663C22#1912817314yes—
1664C22C23×C4×D8311yescharacteristic
1665C22H(5,𝔽2)×D8311yescharacteristic
1666C22C2×#1458183711yescharacteristic
1667C22C2×#1458183811yescharacteristic
1668C22C2×#1458183811yescharacteristic
1669C222−1+4×D8311yescharacteristic
1670C22#1912853711yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—3321no—
1685C4—3321no—
1686C4—3321no—
1687C4—3321no—
1688C4—3321no—
1689C4—3321no—
1690C4—3321no—
1691C4—3321no—
1692C4—1662no—
1693C4—1662no—
1694C4—1662no—
1695C4—1662no—
1696C2—24no—
1697C2—42no—
1698C2—3322no—
1699C2—3322no—
1700C2—3322no—
1701C2—1664no—
1702C2C2×#1912817311yescharacteristic
1703C2#520×D8311yescharacteristic
1704C2C4×#1458183811yescharacteristic
1705C2#2492161911yescharacteristic
1706C2#2492164811yescharacteristic
1707C2#2492167511yescharacteristic
1708C2#2492168611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2359C2
socle, cosocleC23×C83C25
prime radicalC2×#19128343C2
hypercenter#2359D83
hypocenterC83#34456
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
2. #24910632C2semidirect
3. #24910619C2semidirect
4. #24910618C2semidirect
5. #24910610C2semidirect
6. #24910547C2semidirect
7. #24910474C2semidirect
8. #24910445C2semidirect
9. #24910439C2semidirect
10. #24910386C2semidirect
11. #24910372C2semidirect
12. #24910313C2semidirect
13. #24910307C2semidirect
14. #24910290C2semidirect
15. D4×(C2×D83)⋊C4C2semidirect
16. #24910271C2semidirect
17. #24910256C2semidirect
18. #24910190C2semidirect
19. #24910167C2semidirect
20. #24910161C2semidirect
21. #24910157C2semidirect
22. #24910135C2semidirect
23. #24910116C2semidirect
24. #24910095C2semidirect
25. #24910091C2semidirect
26. #24910074C2semidirect
27. #24910051C2semidirect
28. C4×#14581762C2semidirect
29. #386×D83C2semidirect
30. C2×#19127575C2semidirect
31. C83×#2359C2semidirect
35. #19128343C4semidirect
45. C2×C4×D332C22semidirect
49. C2×C4×C22⋊D83C22semidirect
50. C2×C4×C22⋊D83C22semidirect
52. C2×(C22⋊D83)⋊C4C22semidirect
53. C2×#14581749C22semidirect
54. C22×C4⋊Dic83C22semidirect
55. C22×Dic83⋊C4C22semidirect
63. #19127607C22semidirect
64. #19127607C22semidirect
65. #19127605C22semidirect
66. #19127605C22semidirect
68. #19127603C22semidirect
69. #19127603C22semidirect
71. #19127602C22semidirect
72. #19127601C22semidirect
73. #19127600C22semidirect
74. #19127600C22semidirect
75. #19127598C22semidirect
76. #19127595C22semidirect
77. #19127594C22semidirect
78. #19127594C22semidirect
79. #19127593C22semidirect
80. #19127592C22semidirect
81. #19127592C22semidirect
82. #19127592C22semidirect
83. #19127592C22semidirect
84. #19127591C22semidirect
85. #19127591C22semidirect
86. #19127591C22semidirect
87. #19127591C22semidirect
88. #19127590C22semidirect
89. #19127590C22semidirect
90. #19127590C22semidirect
91. #19127589C22semidirect
92. #19127588C22semidirect
93. #19127587C22semidirect
94. #19127587C22semidirect
95. #19127585C22semidirect
96. #19127585C22semidirect
97. #19127583C22semidirect
98. #19127582C22semidirect
99. #19127582C22semidirect
104. #19127580C22semidirect
109. #19127579C22semidirect
110. #19127579C22semidirect
111. #19127579C22semidirect
112. #19127579C22semidirect
116. #19127578C22semidirect
117. #19127578C22semidirect
120. #19127577C22semidirect
121. #19127576C22semidirect
122. #19127576C22semidirect
123. #19127576C22semidirect
129. #19127575C22semidirect
130. #19127575C22semidirect
131. #19127575C22semidirect
132. #19127575C22semidirect
133. #19127575C22semidirect
134. #19127575C22semidirect
135. #19127574C22semidirect
136. #19127573C22semidirect
140. #19127572C22semidirect
141. #19127568C22semidirect
142. #19127566C22semidirect
143. #19127565C22semidirect
144. #19127564C22semidirect
145. #19127563C22semidirect
146. #19127563C22semidirect
147. #19127560C22semidirect
148. #19127560C22semidirect
149. #19127559C22semidirect
151. #19127558C22semidirect
152. #19127558C22semidirect
153. #19127558C22semidirect
154. #19127558C22semidirect
155. #19127558C22semidirect
158. C4×Dic83⋊C4C22semidirect
159. #19127552C22semidirect
160. C22⋊C4×Dic83C22semidirect
161. C22⋊C4×Dic83C22semidirect
166. C4×(C2×D83)⋊C4C22semidirect
168. #19127548C22semidirect
169. C2×C83⋊#95C22semidirect
172. #95×D83C22semidirect
175. C2×#117×C83C22semidirect
176. #389×C83C22semidirect
177. #388×C83C22semidirect
178. #388×C83C22semidirect
179. #387×C83C22semidirect
180. #387×C83C22semidirect
182. #385×C83C22semidirect
183. #385×C83C22semidirect
184. C4×C4⋊C4×C83C22semidirect
185. C4×C22⋊C4×C83C22semidirect
186. C4×C22⋊C4×C83C22semidirect
187. C2×#95×C83C22semidirect
192. C2×#13050590C2×C4semidirect
204. C2×D4×D83C2×C4semidirect
224. #14581778C2×C4semidirect
225. #14581777C2×C4semidirect
226. #14581770C2×C4semidirect
227. #14581767C2×C4semidirect
228. #14581765C2×C4semidirect
229. #14581764C2×C4semidirect
230. #14581762C2×C4semidirect
231. #14581762C2×C4semidirect
236. #14581754C2×C4semidirect
240. (C22⋊D83)⋊C4C2×C4semidirect
269. C2×(C2×D83)⋊C4C2×C4semidirect
305. C22⋊C4×D83C2×C4semidirect
349. #123×C83C2×C4semidirect
403. C2×Dic166C22×C4semidirect
415. C2×D332C22×C4semidirect
427. C2×C22⋊D83C22×C4semidirect
487. C2×C4×D83C22×C4semidirect
488. C2×C4×D83C22×C4semidirect
489. C2×C4×D83C22×C4semidirect
505. Dic83⋊C4C22×C4semidirect
506. Dic83⋊C4C22×C4semidirect
512. C22⋊Dic83C22×C4semidirect
543. (C2×D83)⋊C4C22×C4semidirect
544. (C2×D83)⋊C4C22×C4semidirect
552. C4×Dic83C22×C4semidirect
588. C4⋊C4×C83C22×C4semidirect
589. C4⋊C4×C83C22×C4semidirect
596. C22⋊C4×C83C22×C4semidirect
597. C22⋊C4×C83C22×C4semidirect
862. #2359D83semidirect
886. C83#34456semidirect
911. C2×#117C2×D83semidirect
934. #389C2×D83semidirect
951. #388C2×D83semidirect
952. #388C2×D83semidirect
961. #387C2×D83semidirect
962. #387C2×D83semidirect
1005. #385C2×D83semidirect
1006. #385C2×D83semidirect
1026. C4×C4⋊C4C2×D83semidirect
1036. C4×C22⋊C4C2×D83semidirect
1037. C4×C22⋊C4C2×D83semidirect
1042. C2×#95C2×D83semidirect
1086. #123C4×D83semidirect
1397. C4⋊C4C2×C4×D83semidirect
1398. C4⋊C4C2×C4×D83semidirect
1443. C22⋊C4C2×C4×D83semidirect
1444. 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×#191283432
#249106322
#249106192
#249106182
#249106102
#249105472
#249104742
#249104452
#249104392
#249103862
#249103722
#249103132
#249103072
#249102902
D4×(C2×D83)⋊C42
#249102712
#249102562
#249101902
#249101672
#249101612
#249101572
#249101352
#249101162
#249100952
#249100912
#249100742
#249100512
C4×#145817622
#386×D832
C2×#191275752
C83×#23592
#3445683