Finite Group Databasebeta

← #35568391

Subgroups — #35568391

Order 21248.

2758 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128267C211yesmaximal, characteristic
2#24910622C211yesmaximal, characteristic, complemented
3#24910615C211yesmaximal, characteristic, complemented
4#24910603C211yesmaximal, characteristic, complemented
5#24910600C211yesmaximal, characteristic, complemented
6#24910537C211yesmaximal, characteristic, complemented
7#24910535C211yesmaximal, characteristic, complemented
8#24910526C211yesmaximal, characteristic, complemented
9#24910524C211yesmaximal, characteristic, complemented
10#24910513C211yesmaximal, characteristic, complemented
11#24910512C211yesmaximal, characteristic, complemented
12#24910445C211yesmaximal, characteristic, complemented
13#24910443C211yesmaximal, characteristic, complemented
14#24910303C211yesmaximal, characteristic, complemented
15#24910287C211yesmaximal, characteristic, complemented
16#24910281C211yesmaximal, characteristic, complemented
17#24910281C211yesmaximal, characteristic, complemented
18#24910227C211yesmaximal, characteristic, complemented
19#24910184C211yesmaximal, characteristic, complemented
20#24910172C211yesmaximal, characteristic, complemented
21#24910168C211yesmaximal, characteristic, complemented
22#24910162C211yesmaximal, characteristic, complemented
23#24910126C211yesmaximal, characteristic, complemented
24#24910123C211yesmaximal, characteristic, complemented
25#24910122C211yesmaximal, characteristic, complemented
26#24910116C211yesmaximal, characteristic, complemented
27#24910069C211yesmaximal, characteristic, complemented
28#24910027C211yesmaximal, characteristic, complemented
29C4×#14581778C211yesmaximal, characteristic, complemented
30#24909955C211yesmaximal, characteristic, complemented
31C83×#2333C211yesmaximal, characteristic, complemented
32C22×#13050590C2211yescharacteristic
33C22×D4×D83C2211yescharacteristic
34#19128267C4116yescomplemented
35C2×#14581788C2211yescharacteristic
36C2×#14581788C2211yescharacteristic
37C2×#14581778C2211yescharacteristic
38C2×#14581778C2211yescharacteristic
39C2×#14581767C2211yescharacteristic
40C2×#14581766C2211yescharacteristic
41C2×#14581763C2211yescharacteristic
42C2×#14581762C2211yescharacteristic
43C2×#14581762C2211yescharacteristic
44C2×#14581760C2211yescharacteristic
45C2×#14581760C2211yescharacteristic
46C2×C4×Dic166C2211yescharacteristic, complemented
47C2×C4×Dic166C2211yescharacteristic, complemented
48C2×C4×D332C2211yescharacteristic, complemented
49C2×D4×Dic83C2211yescharacteristic, complemented
50C2×D4×Dic83C2211yescharacteristic, complemented
51C2×#14581754C2211yescharacteristic, complemented
52C2×C4×C22⋊D83C2211yescharacteristic
53C2×C4×C22⋊D83C2211yescharacteristic
54C2×C4×C22⋊D83C2211yescharacteristic, complemented
55C2×(C22⋊D83)⋊C4C2211yescharacteristic
56C2×(C22⋊D83)⋊C4C2211yescharacteristic
57C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
58C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
59C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
60C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
61C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
62C2×#14581750C2211yescharacteristic
63C22×(C2×D83)⋊C4C2211yescharacteristic
64C22×(C2×D83)⋊C4C2211yescharacteristic
65C2×C22⋊C4×D83C2211yescharacteristic
66C2×C22⋊C4×D83C2211yescharacteristic
67#19127605C2211yescharacteristic, complemented
68#19127605C2211yescharacteristic, complemented
69#19127603C2211yescharacteristic
70#19127603C2211yescharacteristic
71#19127603C2211yescharacteristic, complemented
72#19127602C2211yescharacteristic, complemented
73#19127601C2211yescharacteristic
74#19127601C2211yescharacteristic
75#19127601C2211yescharacteristic
76#19127601C2211yescharacteristic
77#19127601C2211yescharacteristic
78#19127601C2211yescharacteristic
79#19127601C2211yescharacteristic, complemented
80#19127601C2211yescharacteristic, complemented
81#19127601C2211yescharacteristic, complemented
82#19127601C2211yescharacteristic, complemented
83#19127601C2211yescharacteristic, complemented
84#19127601C2211yescharacteristic, complemented
85#19127595C2211yescharacteristic, complemented
86#19127595C2211yescharacteristic, complemented
87#19127594C2211yescharacteristic, complemented
88#19127594C2211yescharacteristic, complemented
89#19127593C2211yescharacteristic
90#19127593C2211yescharacteristic
91#19127593C2211yescharacteristic, complemented
92#19127593C2211yescharacteristic, complemented
93#19127593C2211yescharacteristic, complemented
94#19127592C2211yescharacteristic
95#19127592C2211yescharacteristic
96#19127592C2211yescharacteristic, complemented
97#19127592C2211yescharacteristic, complemented
98#19127592C2211yescharacteristic, complemented
99#19127591C2211yescharacteristic
100#19127591C2211yescharacteristic
101#19127591C2211yescharacteristic, complemented
102#19127590C2211yescharacteristic
103#19127590C2211yescharacteristic
104#19127590C2211yescharacteristic, complemented
105#19127589C2211yescharacteristic, complemented
106#19127589C2211yescharacteristic, complemented
107#19127587C2211yescharacteristic, complemented
108#19127587C2211yescharacteristic, complemented
109#19127586C2211yescharacteristic, complemented
110#19127586C2211yescharacteristic, complemented
111#19127584C2211yescharacteristic, complemented
112#19127584C2211yescharacteristic, complemented
113#19127581C2211yescharacteristic
114#19127581C2211yescharacteristic
115#19127581C2211yescharacteristic, complemented
116#19127581C2211yescharacteristic, complemented
117#19127580C2211yescharacteristic, complemented
118#19127579C2211yescharacteristic
119#19127579C2211yescharacteristic
120#19127579C2211yescharacteristic
121#19127579C2211yescharacteristic
122#19127579C2211yescharacteristic
123#19127579C2211yescharacteristic
124#19127579C2211yescharacteristic, complemented
125#19127579C2211yescharacteristic, complemented
126#19127579C2211yescharacteristic, complemented
127#19127579C2211yescharacteristic, complemented
128#19127578C2211yescharacteristic
129#19127578C2211yescharacteristic
130#19127578C2211yescharacteristic, complemented
131#19127578C2211yescharacteristic, complemented
132#19127578C2211yescharacteristic, complemented
133#19127577C2211yescharacteristic, complemented
134#19127577C2211yescharacteristic, complemented
135#19127577C2211yescharacteristic, complemented
136#19127577C2211yescharacteristic, complemented
137#19127576C2211yescharacteristic, complemented
138#19127576C2211yescharacteristic, complemented
139#19127575C2211yescharacteristic, complemented
140#19127575C2211yescharacteristic, complemented
141#19127575C2211yescharacteristic, complemented
142#19127574C2211yescharacteristic, complemented
143#19127573C2211yescharacteristic, complemented
144#19127572C2211yescharacteristic, complemented
145#19127570C2211yescharacteristic, complemented
146#19127565C2211yescharacteristic, complemented
147#19127563C2211yescharacteristic, complemented
148#19127561C2211yescharacteristic, complemented
149#19127560C2211yescharacteristic
150#19127560C2211yescharacteristic
151#19127560C2211yescharacteristic, complemented
152#19127556C2211yescharacteristic
153#19127556C2211yescharacteristic
154#19127556C2211yescharacteristic
155#19127556C2211yescharacteristic
156C4⋊C4×Dic83C2211yescharacteristic, complemented
157C4×Dic83⋊C4C2211yescharacteristic, complemented
158#19127552C2211yescharacteristic, complemented
159#19127552C2211yescharacteristic, complemented
160C22⋊C4×Dic83C2211yescharacteristic, complemented
161C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
164C4×C22⋊Dic83C2211yescharacteristic, complemented
165#19127548C2211yescharacteristic
166#19127548C2211yescharacteristic
167#19127548C2211yescharacteristic, complemented
168#19127548C2211yescharacteristic, complemented
169#19127546C2211yescharacteristic, complemented
170C2×C83⋊#95C2211yescharacteristic, complemented
171#95×D83C2211yescharacteristic, complemented
172C42×Dic83C2211yescharacteristic, complemented
173C2×#121×C83C2211yescharacteristic
174#390×C83C2211yescharacteristic, complemented
175#390×C83C2211yescharacteristic, complemented
176#388×C83C2211yescharacteristic, complemented
177#388×C83C2211yescharacteristic, complemented
178#387×C83C2211yescharacteristic, complemented
179#387×C83C2211yescharacteristic, complemented
180#386×C83C2211yescharacteristic
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic, complemented
183#386×C83C2211yescharacteristic, complemented
184#381×C83C2211yescharacteristic, complemented
185C4×C22⋊C4×C83C2211yescharacteristic, complemented
186C4×C22⋊C4×C83C2211yescharacteristic, complemented
187C4×C22⋊C4×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
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C2×D4×D83—42no—
207C2×D4×D83—42no—
208C2×D4×D83C2×C418yescomplemented
209C23×Dic83C2311yescharacteristic
210C23×Dic83C2311yescharacteristic
211C23×Dic83C2311yescharacteristic
212C23×Dic83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221#14581788C2×C418yescomplemented
222#14581788C2×C418yescomplemented
223#14581778C2×C418yescomplemented
224#14581778C2×C418yescomplemented
225#14581767C2×C418yescomplemented
226#14581766C2×C418yescomplemented
227#14581763C2×C418yescomplemented
228#14581762C2×C418yescomplemented
229#14581762C2×C418yescomplemented
230#14581760C2×C418yescomplemented
231#14581760C2×C418yescomplemented
232C4×Dic166—42no—
233C4×Dic166—42no—
234C4×D332—42no—
235D4×Dic83—42no—
236D4×Dic83—42no—
237#14581754—42no—
238C4×C22⋊D83—42no—
239C4×C22⋊D83—42no—
240C4×C22⋊D83—42no—
241(C22⋊D83)⋊C4—42no—
242(C22⋊D83)⋊C4—42no—
243(C22⋊D83)⋊C4—42no—
244(C22⋊D83)⋊C4—42no—
245(C22⋊D83)⋊C4—42no—
246(C22⋊D83)⋊C4—42no—
247(C22⋊D83)⋊C4—42no—
248#14581750C2×C418yescomplemented
249C2×C4⋊Dic83C2311yescharacteristic
250C2×C4⋊Dic83C2311yescharacteristic
251C2×C4⋊Dic83C2311yescharacteristic
252C2×C4⋊Dic83C2311yescharacteristic
253C2×C4⋊Dic83C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×(C2×D83)⋊C4—42no—
275C2×(C2×D83)⋊C4—42no—
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C2×(C2×D83)⋊C4C2311yescharacteristic
306C2×(C2×D83)⋊C4C2311yescharacteristic
307C2×(C2×D83)⋊C4C2311yescharacteristic
308C22⋊C4×D83—42no—
309C22⋊C4×D83—42no—
310C2×C4×Dic83C2311yescharacteristic
311C2×C4×Dic83C2311yescharacteristic
312C2×C4×Dic83C2311yescharacteristic
313C2×C4×Dic83C2311yescharacteristic
314C2×C4×Dic83C2311yescharacteristic
315C2×C4×Dic83C2311yescharacteristic
316C2×C4×Dic83C2311yescharacteristic
317C2×C4×Dic83C2311yescharacteristic
318C2×C4×Dic83C2311yescharacteristic
319C2×C4×Dic83C2311yescharacteristic
320C2×C4×Dic83C2311yescharacteristic
321C2×C4×Dic83C2311yescharacteristic
322C2×C4×Dic83C2311yescharacteristic
323C2×C4×Dic83C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C22×D4×C83C2311yescharacteristic
347C22×D4×C83C2311yescharacteristic
348C22×D4×C83C2311yescharacteristic
349C23×C4×C83C2311yescharacteristic
350C23×C4×C83C2311yescharacteristic
351C23×C4×C83C2311yescharacteristic
352#121×C83C2×C418yescomplemented
353C2×C4⋊C4×C83C2311yescharacteristic
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C4⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊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×C22⋊C4×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—41no—
383C23×D83—41no—
384C23×D83—41no—
385C23×D83—41no—
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
400#13050590—416no—
401C2×Dic166—22no—
402C2×Dic166—22no—
403C2×Dic166C22×C414yes—
404C2×D332—41no—
405C2×D332—41no—
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×C414yes—
416C2×C22⋊D83—22no—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—22no—
420C2×C22⋊D83—22no—
421C2×C22⋊D83—22no—
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⋊D83—41no—
430C2×C22⋊D83—41no—
431C2×C22⋊D83—41no—
432C2×C22⋊D83C22×C414yes—
433C2×C22⋊D83C22×C414yes—
434C2×C22⋊D83C22×C414yes—
435C2×C22⋊D83C22×C414yes—
436C2×C22⋊D83C22×C414yes—
437C2×C22⋊D83C22×C414yes—
438C2×C22⋊D83C22×C414yes—
439C2×C22⋊D83C22×C414yes—
440D4×D83—416no—
441C22×Dic83—22no—
442C22×Dic83—22no—
443C22×Dic83—41no—
444C22×Dic83—41no—
445C22×Dic83—41no—
446C22×Dic83—41no—
447C22×Dic83—41no—
448C22×Dic83—41no—
449C22×Dic83—41no—
450C22×Dic83—41no—
451C22×Dic83—41no—
452C22×Dic83—41no—
453C22×Dic83C2411yescharacteristic
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C22×Dic83C2411yescharacteristic
463C22×Dic83C2411yescharacteristic
464C22×Dic83C2411yescharacteristic
465C2×C4×D83—22no—
466C2×C4×D83—22no—
467C2×C4×D83—22no—
468C2×C4×D83—22no—
469C2×C4×D83—22no—
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—41no—
477C2×C4×D83—41no—
478C2×C4×D83—41no—
479C2×C4×D83—41no—
480C2×C4×D83—41no—
481C2×C4×D83—41no—
482C2×C4×D83—41no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83—41no—
487C2×C4×D83C22×C414yes—
488C2×C4×D83C22×C414yes—
489C4⋊Dic83—22no—
490C4⋊Dic83—41no—
491C4⋊Dic83—41no—
492C4⋊Dic83—41no—
493C4⋊Dic83C22×C414yes—
494Dic83⋊C4—22no—
495Dic83⋊C4—22no—
496Dic83⋊C4—22no—
497Dic83⋊C4—22no—
498Dic83⋊C4—22no—
499Dic83⋊C4—41no—
500Dic83⋊C4—41no—
501Dic83⋊C4—41no—
502Dic83⋊C4—41no—
503Dic83⋊C4—41no—
504C22⋊Dic83—22no—
505C22⋊Dic83—41no—
506C22⋊Dic83—41no—
507C22⋊Dic83—41no—
508C22⋊Dic83—41no—
509C22⋊Dic83—41no—
510C22⋊Dic83—41no—
511C22⋊Dic83—41no—
512C22⋊Dic83C22×C414yes—
513C22⋊Dic83C22×C414yes—
514(C2×D83)⋊C4—22no—
515(C2×D83)⋊C4—22no—
516(C2×D83)⋊C4—22no—
517(C2×D83)⋊C4—22no—
518(C2×D83)⋊C4—22no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4—41no—
521(C2×D83)⋊C4—41no—
522(C2×D83)⋊C4—41no—
523(C2×D83)⋊C4—41no—
524(C2×D83)⋊C4—41no—
525(C2×D83)⋊C4—41no—
526(C2×D83)⋊C4—41no—
527(C2×D83)⋊C4—41no—
528(C2×D83)⋊C4—41no—
529(C2×D83)⋊C4—41no—
530(C2×D83)⋊C4—41no—
531(C2×D83)⋊C4—41no—
532(C2×D83)⋊C4—41no—
533(C2×D83)⋊C4—41no—
534(C2×D83)⋊C4—41no—
535(C2×D83)⋊C4—41no—
536(C2×D83)⋊C4—41no—
537(C2×D83)⋊C4—41no—
538(C2×D83)⋊C4—41no—
539(C2×D83)⋊C4—41no—
540(C2×D83)⋊C4C22×C414yes—
541(C2×D83)⋊C4C22×C414yes—
542(C2×D83)⋊C4C22×C414yes—
543(C2×D83)⋊C4C22×C414yes—
544(C2×D83)⋊C4C22×C414yes—
545(C2×D83)⋊C4C22×C414yes—
546C4×Dic83—22no—
547C4×Dic83—22no—
548C4×Dic83—22no—
549C4×Dic83—22no—
550C4×Dic83—22no—
551C4×Dic83—22no—
552C4×Dic83—41no—
553C4×Dic83—41no—
554C4×Dic83—41no—
555C4×Dic83—41no—
556C4×Dic83—41no—
557C4×Dic83—41no—
558C4×Dic83C22×C414yes—
559C4×Dic83C22×C414yes—
560C24×C83C2411yescharacteristic
561C24×C83C2411yescharacteristic
562C24×C83C2411yescharacteristic
563C2×D4×C83—41no—
564C2×D4×C83—41no—
565C2×D4×C83—41no—
566C2×D4×C83—41no—
567C2×D4×C83—41no—
568C2×D4×C83—41no—
569C2×D4×C83C22×C414yes—
570C2×D4×C83C22×C414yes—
571C2×D4×C83C22×C414yes—
572C22×C4×C83—22no—
573C22×C4×C83—41no—
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×C83C22×C414yes—
581C22×C4×C83C2411yescharacteristic
582C22×C4×C83C2411yescharacteristic
583C22×C4×C83C2411yescharacteristic
584C22×C4×C83C2411yescharacteristic
585C22×C4×C83C2411yescharacteristic
586C22×C4×C83C2411yescharacteristic
587C22×C4×C83C2411yescharacteristic
588C22×C4×C83C2411yescharacteristic
589C22×C4×C83C2411yescharacteristic
590C22×C4×C83C2411yescharacteristic
591C22×C4×C83C2411yescharacteristic
592C22×C4×C83C2411yescharacteristic
593C4⋊C4×C83—41no—
594C4⋊C4×C83—41no—
595C4⋊C4×C83C22×C414yes—
596C22⋊C4×C83—22no—
597C22⋊C4×C83—22no—
598C22⋊C4×C83—41no—
599C22⋊C4×C83—41no—
600C22⋊C4×C83—41no—
601C22⋊C4×C83—41no—
602C22⋊C4×C83—41no—
603C22⋊C4×C83—41no—
604C22⋊C4×C83—41no—
605C22⋊C4×C83—41no—
606C22⋊C4×C83C22×C414yes—
607C22⋊C4×C83C22×C414yes—
608C42×C83—41no—
609C42×C83—41no—
610C42×C83—41no—
611C42×C83—41no—
612C23×C83—21no—
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×C83—21no—
630C23×C83C23×C412yes—
631C23×C83C23×C412yes—
632C23×C83C23×C412yes—
633C23×C83C2511yescharacteristic
634C22×D83—21no—
635C22×D83—21no—
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—44no—
659C22×D83—44no—
660C22×D83—44no—
661C22×D83—44no—
662C22×D83—44no—
663C22×D83—44no—
664C22×D83—82no—
665C22×D83—82no—
666C22×D83—82no—
667C22×D83—82no—
668C22×D83—82no—
669C22×D83—82no—
670C22×D83—82no—
671C22×D83—82no—
672C22×D83C23×C412yes—
673C22×D83C23×C412yes—
674C22×D83C23×C412yes—
675C22×D83C23×C412yes—
676D4×C83—44no—
677D4×C83—44no—
678D4×C83—44no—
679C2×C4×C83—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83—21no—
683C2×C4×C83—21no—
684C2×C4×C83—21no—
685C2×C4×C83—21no—
686C2×C4×C83—21no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—21no—
690C2×C4×C83—21no—
691C2×C4×C83—21no—
692C2×C4×C83—21no—
693C2×C4×C83—21no—
694C2×C4×C83—21no—
695C2×C4×C83—21no—
696C2×C4×C83—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—44no—
711C2×C4×C83—82no—
712C2×C4×C83—82no—
713C2×C4×C83C23×C412yes—
714C2×C4×C83C23×C412yes—
715C2×C4×C83C23×C412yes—
716C2×C4×C83C23×C412yes—
717C2×C4×C83H(5,𝔽2)12yes—
718C22⋊D83—28no—
719C22⋊D83—28no—
720C22⋊D83—28no—
721C22⋊D83—44no—
722C22⋊D83—44no—
723C22⋊D83—44no—
724C22⋊D83—44no—
725C22⋊D83—44no—
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—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—82no—
756C2×Dic83—82no—
757C2×Dic83—82no—
758C2×Dic83—82no—
759C2×Dic83C23×C412yes—
760C2×Dic83C23×C412yes—
761C2×Dic83C23×C412yes—
762C2×Dic83C23×C412yes—
763C2×Dic83H(5,𝔽2)12yes—
764C2×Dic83H(5,𝔽2)12yes—
765C2×Dic83H(5,𝔽2)12yes—
766D332—44no—
767D332—44no—
768D332—44no—
769D332—44no—
770C4×D83—28no—
771C4×D83—44no—
772C4×D83—82no—
773C4×D83—82no—
774C4×D83—82no—
775C4×D83—82no—
776C4×D83—82no—
777C4×D83—82no—
778Dic166—28no—
779C22×C83—22no—
780C22×C83—22no—
781C22×C83—22no—
782C22×C83—22no—
783C22×C83—22no—
784C22×C83—22no—
785C22×C83—22no—
786C22×C83—22no—
787C22×C83—22no—
788C22×C83—41no—
789C22×C83—41no—
790C22×C83—41no—
791C22×C83—41no—
792C22×C83—41no—
793C22×C83—41no—
794C22×C83—41no—
795C22×C83—41no—
796C22×C83—41no—
797C22×C83—41no—
798C22×C83—41no—
799C22×C83—41no—
800C22×C83C24×C411yescharacteristic
801C22×C83C2×H(5,𝔽2)11yescharacteristic
802C22×C83C2×H(5,𝔽2)11yescharacteristic
803C22×C83C2×H(5,𝔽2)11yescharacteristic
804C22×C83C2×H(5,𝔽2)11yescharacteristic
805C22×C83#58511yescharacteristic
806C22×C83#58511yescharacteristic
807C2×D83—22no—
808C2×D83—22no—
809C2×D83—22no—
810C2×D83—22no—
811C2×D83—22no—
812C2×D83—22no—
813C2×D83—22no—
814C2×D83—22no—
815C2×D83—22no—
816C2×D83—22no—
817C2×D83—22no—
818C2×D83—22no—
819C2×D83—41no—
820C2×D83—41no—
821C2×D83—41no—
822C2×D83—41no—
823C2×D83—41no—
824C2×D83—41no—
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—88no—
836C2×D83—88no—
837C4×C83—22no—
838C4×C83—22no—
839C4×C83—22no—
840C4×C83—22no—
841C4×C83—22no—
842C4×C83—41no—
843C4×C83—41no—
844C4×C83—41no—
845C4×C83—41no—
846C4×C83—41no—
847C4×C83—41no—
848C4×C83—41no—
849Dic83—22no—
850Dic83—22no—
851Dic83—22no—
852Dic83—22no—
853Dic83—41no—
854Dic83—41no—
855Dic83—41no—
856Dic83—41no—
857Dic83—41no—
858Dic83—41no—
859Dic83—41no—
860Dic83#51814yes—
861#34438—831nomaximal, Sylow
862C2×C83—42no—
863C2×C83—42no—
864C2×C83—42no—
865C2×C83C2×#51811yescharacteristic
866C2×C83C4×H(5,𝔽2)11yescharacteristic
867C2×C83C4×H(5,𝔽2)11yescharacteristic
868C2×C83#354311yescharacteristic
869C2×C83#354611yescharacteristic
870C2×C83#355811yescharacteristic
871C2×C83#356211yescharacteristic
872D83—42no—
873D83—42no—
874D83—42no—
875D83—42no—
876C2×#535—831no—
877#2377—831no—
878#2377—831no—
879#2375—831no—
880#2375—831no—
881#2367—831no—
882#2367—831no—
883#2366—831no—
884#2366—831no—
885#2364—831no—
886#2364—831no—
887#2358—831no—
888#2358—831no—
889#2341—831no—
890#2339—831no—
891D4×C22⋊C4—831no—
892D4×C22⋊C4—831no—
893#2333—831no—
894#2333D8311yescharacteristic, complemented
895#2328—831no—
896#2326—831no—
897#2325—831no—
898#2325—831no—
899#2321—831no—
900#2321—831no—
901#2321—831no—
902#2321—831no—
903#2314—831no—
904C4×#127—831no—
905C4×#124—831no—
906#2298—831no—
907C83#3443811yescharacteristic, complemented, Sylow
908C22×#41—831no—
909C23×D4—831no—
910#535—8316no—
911C2×#127—831no—
912C2×#127—831no—
913C2×#124—831no—
914C2×#124—831no—
915C2×#121—831no—
916C2×#121—831no—
917C2×#121—831no—
918C2×#121C2×D8311yescharacteristic
919C2×#120—831no—
920C2×#120—831no—
921C2×#120—831no—
922C2×#120—831no—
923C2×C4×Q8—831no—
924C2×C4×Q8—831no—
925C2×C4×D4—831no—
926C2×C4×D4—831no—
927C2×C4×D4—831no—
928C2×C4×D4—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×#117—831no—
940C22×C22⋊C4—831no—
941C22×C22⋊C4—831no—
942C22×C22⋊C4—831no—
943C22×C22⋊C4—831no—
944#391—831no—
945#391—831no—
946#390—831no—
947#390—831no—
948#390—831no—
949#390—831no—
950#390—831no—
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#390—831no—
960#390—831no—
961#390—831no—
962#390C2×D8311yescharacteristic, complemented
963#390C2×D8311yescharacteristic, complemented
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#388—831no—
976#388—831no—
977#388—831no—
978#388—831no—
979#388—831no—
980#388—831no—
981#388—831no—
982#388—831no—
983#388—831no—
984#388—831no—
985#388—831no—
986#388C2×D8311yescharacteristic, complemented
987#388C2×D8311yescharacteristic, complemented
988#387—831no—
989#387—831no—
990#387—831no—
991#387—831no—
992#387—831no—
993#387—831no—
994#387C2×D8311yescharacteristic, complemented
995#387C2×D8311yescharacteristic, complemented
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#386—831no—
1020#386C2×D8311yescharacteristic
1021#386C2×D8311yescharacteristic
1022#386C2×D8311yescharacteristic, complemented
1023#386C2×D8311yescharacteristic, complemented
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#384—831no—
1033#382—831no—
1034#381—831no—
1035#381C2×D8311yescharacteristic, complemented
1036#380—831no—
1037#380—831no—
1038#380—831no—
1039#380—831no—
1040#379—831no—
1041#379—831no—
1042#379—831no—
1043#379—831no—
1044C4×C4⋊C4—831no—
1045C4×C4⋊C4—831no—
1046C4×C4⋊C4—831no—
1047C4×C4⋊C4—831no—
1048C4×C22⋊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⋊C4C2×D8311yescharacteristic, complemented
1058C4×C22⋊C4C2×D8311yescharacteristic, complemented
1059C4×C22⋊C4C2×D8311yescharacteristic, complemented
1060#376—831no—
1061C2×#95—831no—
1062C2×#95—831no—
1063C43—831no—
1064C25—831no—
1065C25—831no—
1066C2×#41—3322no—
1067C2×#41—3322no—
1068C2×#41—838no—
1069C22×Q8—831no—
1070C22×D4—3322no—
1071C22×D4—3322no—
1072C22×D4—831no—
1073C22×D4—831no—
1074C22×D4—831no—
1075C22×D4—831no—
1076C22×D4—831no—
1077C22×D4—838no—
1078C22×D4—831no—
1079C22×D4—831no—
1080C22×D4—831no—
1081C22×D4—831no—
1082C22×D4—831no—
1083C22×D4—831no—
1084C22×D4—831no—
1085C22×D4C22×D8311yescharacteristic
1086C22×D4C22×D8311yescharacteristic
1087C22×D4C22×D8311yescharacteristic
1088C23×C4—831no—
1089C23×C4—831no—
1090C23×C4—831no—
1091C23×C4—831no—
1092C23×C4—831no—
1093C23×C4—831no—
1094C23×C4—831no—
1095C23×C4—831no—
1096C23×C4—831no—
1097C23×C4—831no—
1098C23×C4—831no—
1099C23×C4—831no—
1100C23×C4C22×D8311yescharacteristic
1101C23×C4C22×D8311yescharacteristic
1102C23×C4C22×D8311yescharacteristic
1103#127—838no—
1104#127—838no—
1105#124—838no—
1106#124—838no—
1107#121—838no—
1108#121—838no—
1109#121—838no—
1110#121C4×D8318yescomplemented
1111#120—838no—
1112#120—838no—
1113#120—838no—
1114#120—838no—
1115C4×Q8—3322no—
1116C4×Q8—3322no—
1117C4×D4—3322no—
1118C4×D4—3322no—
1119C4×D4—3322no—
1120C4×D4—3322no—
1121C4×D4—3322no—
1122C4×D4—3322no—
1123C4×D4—3322no—
1124C4×D4—3322no—
1125C4×D4—3322no—
1126C4×D4—3322no—
1127C4×D4—3322no—
1128C4×D4—3322no—
1129C4×D4—3322no—
1130C4×D4—3322no—
1131#117—838no—
1132C2×C4⋊C4—831no—
1133C2×C4⋊C4—831no—
1134C2×C4⋊C4—831no—
1135C2×C4⋊C4—831no—
1136C2×C4⋊C4—831no—
1137C2×C4⋊C4—831no—
1138C2×C4⋊C4—831no—
1139C2×C4⋊C4—831no—
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⋊C4C22×D8311yescharacteristic
1148C2×C4⋊C4C22×D8311yescharacteristic
1149C2×C4⋊C4C22×D8311yescharacteristic
1150C2×C22⋊C4—3322no—
1151C2×C22⋊C4—3322no—
1152C2×C22⋊C4—3322no—
1153C2×C22⋊C4—3322no—
1154C2×C22⋊C4—831no—
1155C2×C22⋊C4—831no—
1156C2×C22⋊C4—831no—
1157C2×C22⋊C4—831no—
1158C2×C22⋊C4—831no—
1159C2×C22⋊C4—831no—
1160C2×C22⋊C4—831no—
1161C2×C22⋊C4—831no—
1162C2×C22⋊C4—831no—
1163C2×C22⋊C4—831no—
1164C2×C22⋊C4—831no—
1165C2×C22⋊C4—831no—
1166C2×C22⋊C4—831no—
1167C2×C22⋊C4—831no—
1168C2×C22⋊C4—831no—
1169C2×C22⋊C4—831no—
1170C2×C22⋊C4—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⋊C4C22×D8311yescharacteristic
1197C2×C22⋊C4C22×D8311yescharacteristic
1198C2×C22⋊C4C22×D8311yescharacteristic
1199C2×C22⋊C4C22×D8311yescharacteristic
1200C2×C22⋊C4C22×D8311yescharacteristic
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×C42—831no—
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×C42—831no—
1222C2×C42C22×D8311yescharacteristic
1223C2×C42C22×D8311yescharacteristic
1224C2×C42C22×D8311yescharacteristic
1225C2×C42C22×D8311yescharacteristic
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#95C22×D8311yescharacteristic
1249#95C22×D8311yescharacteristic
1250#95C22×D8311yescharacteristic
1251#95C22×D8311yescharacteristic
1252#95C22×D8311yescharacteristic
1253#95C22×D8311yescharacteristic
1254#95C22×D8311yescharacteristic
1255#95C22×D8311yescharacteristic
1256#95C22×D8311yescharacteristic
1257#95C22×D8311yescharacteristic
1258C24—3321no—
1259C24—3321no—
1260C24—3321no—
1261C24—3321no—
1262C24—3321no—
1263C24—3321no—
1264C24—3321no—
1265C24—3321no—
1266C24—3321no—
1267C24—3321no—
1268C24—3321no—
1269C24—3321no—
1270C24—834no—
1271C24—834no—
1272C24—831no—
1273C24—831no—
1274C24—831no—
1275C24—831no—
1276C24C23×D8311yescharacteristic
1277C24C23×D8311yescharacteristic
1278C24C23×D8311yescharacteristic
1279#41—33216no—
1280C2×Q8—834no—
1281C2×Q8—1662no—
1282C2×Q8—1662no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—3321no—
1290C2×D4—3321no—
1291C2×D4—3321no—
1292C2×D4—3321no—
1293C2×D4—3321no—
1294C2×D4—3321no—
1295C2×D4—3321no—
1296C2×D4—3321no—
1297C2×D4—33216no—
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—834no—
1309C2×D4—834no—
1310C2×D4—834no—
1311C2×D4—834no—
1312C2×D4—834no—
1313C2×D4—834no—
1314C2×D4—834no—
1315C2×D4—834no—
1316C2×D4—834no—
1317C2×D4—834no—
1318C2×D4—834no—
1319C2×D4—834no—
1320C2×D4—1662no—
1321C2×D4—1662no—
1322C2×D4—1662no—
1323C2×D4—1662no—
1324C2×D4—1662no—
1325C2×D4—1662no—
1326C2×D4C2×C4×D8314yes—
1327C2×D4C2×C4×D8314yes—
1328C2×D4C2×C4×D8314yes—
1329C22×C4—22no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—3321no—
1338C22×C4—3321no—
1339C22×C4—3321no—
1340C22×C4—3321no—
1341C22×C4—3321no—
1342C22×C4—3321no—
1343C22×C4—3321no—
1344C22×C4—3321no—
1345C22×C4—3321no—
1346C22×C4—3321no—
1347C22×C4—3321no—
1348C22×C4—3321no—
1349C22×C4—3321no—
1350C22×C4—3321no—
1351C22×C4—3321no—
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—834no—
1365C22×C4—831no—
1366C22×C4—831no—
1367C22×C4—831no—
1368C22×C4—831no—
1369C22×C4—831no—
1370C22×C4—834no—
1371C22×C4—831no—
1372C22×C4—831no—
1373C22×C4—831no—
1374C22×C4—831no—
1375C22×C4—831no—
1376C22×C4—831no—
1377C22×C4—831no—
1378C22×C4—1662no—
1379C22×C4—1662no—
1380C22×C4—1662no—
1381C22×C4—1662no—
1382C22×C4—1662no—
1383C22×C4—1662no—
1384C22×C4—1662no—
1385C22×C4C2×C4×D8314yes—
1386C22×C4C23×D8311yescharacteristic
1387C22×C4C23×D8311yescharacteristic
1388C22×C4C23×D8311yescharacteristic
1389C22×C4C23×D8311yescharacteristic
1390C22×C4C23×D8311yescharacteristic
1391C22×C4C23×D8311yescharacteristic
1392C22×C4C23×D8311yescharacteristic
1393C22×C4C23×D8311yescharacteristic
1394C22×C4C23×D8311yescharacteristic
1395C22×C4C23×D8311yescharacteristic
1396C22×C4C23×D8311yescharacteristic
1397C22×C4C23×D8311yescharacteristic
1398C4⋊C4—41no—
1399C4⋊C4—41no—
1400C4⋊C4—3321no—
1401C4⋊C4—3321no—
1402C4⋊C4—3321no—
1403C4⋊C4—3321no—
1404C4⋊C4—3321no—
1405C4⋊C4—3321no—
1406C4⋊C4—3321no—
1407C4⋊C4—3321no—
1408C4⋊C4—834no—
1409C4⋊C4—1662no—
1410C4⋊C4—1662no—
1411C4⋊C4—1662no—
1412C4⋊C4—1662no—
1413C4⋊C4—1662no—
1414C4⋊C4—1662no—
1415C4⋊C4C2×C4×D8314yes—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—3321no—
1427C22⋊C4—3321no—
1428C22⋊C4—3321no—
1429C22⋊C4—3321no—
1430C22⋊C4—3321no—
1431C22⋊C4—3321no—
1432C22⋊C4—3321no—
1433C22⋊C4—3321no—
1434C22⋊C4—3321no—
1435C22⋊C4—3321no—
1436C22⋊C4—3321no—
1437C22⋊C4—3321no—
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—834no—
1455C22⋊C4—834no—
1456C22⋊C4—834no—
1457C22⋊C4—834no—
1458C22⋊C4—834no—
1459C22⋊C4—834no—
1460C22⋊C4—834no—
1461C22⋊C4—834no—
1462C22⋊C4—1662no—
1463C22⋊C4—1662no—
1464C22⋊C4—1662no—
1465C22⋊C4—1662no—
1466C22⋊C4—1662no—
1467C22⋊C4—1662no—
1468C22⋊C4C2×C4×D8314yes—
1469C22⋊C4C2×C4×D8314yes—
1470C42—41no—
1471C42—41no—
1472C42—41no—
1473C42—41no—
1474C42—3321no—
1475C42—3321no—
1476C42—3321no—
1477C42—3321no—
1478C42—3321no—
1479C42—3321no—
1480C42—834no—
1481C42—834no—
1482C42—1662no—
1483C42—1662no—
1484C42—1662no—
1485C42—1662no—
1486C42—1662no—
1487C42—1662no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
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—3324no—
1507C23—3324no—
1508C23—3324no—
1509C23—3324no—
1510C23—3324no—
1511C23—3324no—
1512C23—832no—
1513C23—832no—
1514C23—832no—
1515C23—832no—
1516C23—6642no—
1517C23—6642no—
1518C23—6642no—
1519C23—6642no—
1520C23—6642no—
1521C23—6642no—
1522C23—6642no—
1523C23—6642no—
1524C23—1661no—
1525C23—1661no—
1526C23—1661no—
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—
1548C23C22×C4×D8312yes—
1549C23C22×C4×D8312yes—
1550C23C22×C4×D8312yes—
1551C23C24×D8311yescharacteristic
1552Q8—1668no—
1553D4—44no—
1554D4—44no—
1555D4—44no—
1556D4—3324no—
1557D4—3324no—
1558D4—3324no—
1559D4—3324no—
1560D4—3324no—
1561D4—3324no—
1562D4—3324no—
1563D4—3324no—
1564D4—3324no—
1565D4—1668no—
1566D4—1668no—
1567D4—1668no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
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—44no—
1600C2×C4—82no—
1601C2×C4—82no—
1602C2×C4—3324no—
1603C2×C4—832no—
1604C2×C4—832no—
1605C2×C4—832no—
1606C2×C4—832no—
1607C2×C4—832no—
1608C2×C4—832no—
1609C2×C4—832no—
1610C2×C4—6642no—
1611C2×C4—6642no—
1612C2×C4—6642no—
1613C2×C4—6642no—
1614C2×C4—6642no—
1615C2×C4—6642no—
1616C2×C4—6642no—
1617C2×C4—6642no—
1618C2×C4—6642no—
1619C2×C4—6642no—
1620C2×C4—1668no—
1621C2×C4—1661no—
1622C2×C4—1661no—
1623C2×C4—1661no—
1624C2×C4—1661no—
1625C2×C4—1661no—
1626C2×C4—1661no—
1627C2×C4—1661no—
1628C2×C4—1661no—
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×C4C22×C4×D8312yes—
1651C2×C4C22×C4×D8312yes—
1652C2×C4C22×C4×D8312yes—
1653C2×C4C22×C4×D8312yes—
1654C2×C4#1458183812yes—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—3321no—
1677C22—3321no—
1678C22—3321no—
1679C22—3321no—
1680C22—3321no—
1681C22—3321no—
1682C22—3321no—
1683C22—3321no—
1684C22—3321no—
1685C22—3321no—
1686C22—3321no—
1687C22—3321no—
1688C22—3321no—
1689C22—3321no—
1690C22—3321no—
1691C22—3321no—
1692C22—6648no—
1693C22—6648no—
1694C22—1662no—
1695C22—1662no—
1696C22—1662no—
1697C22—1662no—
1698C22—1662no—
1699C22—1662no—
1700C22—1662no—
1701C22—1662no—
1702C22—1662no—
1703C22—1662no—
1704C22—1662no—
1705C22—1662no—
1706C22C23×C4×D8311yescharacteristic
1707C22H(5,𝔽2)×D8311yescharacteristic
1708C22H(5,𝔽2)×D8311yescharacteristic
1709C22H(5,𝔽2)×D8311yescharacteristic
1710C22C2×#1458183811yescharacteristic
1711C22#1912853611yescharacteristic
1712C22#1912853711yescharacteristic
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—22no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—3321no—
1726C4—3321no—
1727C4—3321no—
1728C4—3321no—
1729C4—3321no—
1730C4—3321no—
1731C4—3321no—
1732C4—834no—
1733C4—1662no—
1734C4—1662no—
1735C4—1662no—
1736C4—1662no—
1737C2—42no—
1738C2—42no—
1739C2—42no—
1740C2—3322no—
1741C2—3322no—
1742C2—3322no—
1743C2—3322no—
1744C2#518×D8311yescharacteristic
1745C2#2492066711yescharacteristic
1746C2C4×#1458183811yescharacteristic
1747C2#2492179211yescharacteristic
1748C2#2492182811yescharacteristic
1749C2#2492198411yescharacteristic
1750C2#2492204211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2333C2
socle, cosocleC23×C83C25
prime radicalC2×#19128267C2
hypercenter#2333D83
hypocenterC83#34438
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #24910622C2semidirect
3. #24910615C2semidirect
4. #24910603C2semidirect
5. #24910600C2semidirect
6. #24910537C2semidirect
7. #24910535C2semidirect
8. #24910526C2semidirect
9. #24910524C2semidirect
10. #24910513C2semidirect
11. #24910512C2semidirect
12. #24910445C2semidirect
13. #24910443C2semidirect
14. #24910303C2semidirect
15. #24910287C2semidirect
16. #24910281C2semidirect
17. #24910281C2semidirect
18. #24910227C2semidirect
19. #24910184C2semidirect
20. #24910172C2semidirect
21. #24910168C2semidirect
22. #24910162C2semidirect
23. #24910126C2semidirect
24. #24910123C2semidirect
25. #24910122C2semidirect
26. #24910116C2semidirect
27. #24910069C2semidirect
28. #24910027C2semidirect
29. C4×#14581778C2semidirect
30. #24909955C2semidirect
31. C83×#2333C2semidirect
34. #19128267C4semidirect
46. C2×C4×Dic166C22semidirect
47. C2×C4×Dic166C22semidirect
48. C2×C4×D332C22semidirect
49. C2×D4×Dic83C22semidirect
50. C2×D4×Dic83C22semidirect
51. C2×#14581754C22semidirect
54. C2×C4×C22⋊D83C22semidirect
57. C2×(C22⋊D83)⋊C4C22semidirect
58. C2×(C22⋊D83)⋊C4C22semidirect
59. C2×(C22⋊D83)⋊C4C22semidirect
60. C2×(C22⋊D83)⋊C4C22semidirect
61. C2×(C22⋊D83)⋊C4C22semidirect
67. #19127605C22semidirect
68. #19127605C22semidirect
71. #19127603C22semidirect
72. #19127602C22semidirect
79. #19127601C22semidirect
80. #19127601C22semidirect
81. #19127601C22semidirect
82. #19127601C22semidirect
83. #19127601C22semidirect
84. #19127601C22semidirect
85. #19127595C22semidirect
86. #19127595C22semidirect
87. #19127594C22semidirect
88. #19127594C22semidirect
91. #19127593C22semidirect
92. #19127593C22semidirect
93. #19127593C22semidirect
96. #19127592C22semidirect
97. #19127592C22semidirect
98. #19127592C22semidirect
101. #19127591C22semidirect
104. #19127590C22semidirect
105. #19127589C22semidirect
106. #19127589C22semidirect
107. #19127587C22semidirect
108. #19127587C22semidirect
109. #19127586C22semidirect
110. #19127586C22semidirect
111. #19127584C22semidirect
112. #19127584C22semidirect
115. #19127581C22semidirect
116. #19127581C22semidirect
117. #19127580C22semidirect
124. #19127579C22semidirect
125. #19127579C22semidirect
126. #19127579C22semidirect
127. #19127579C22semidirect
130. #19127578C22semidirect
131. #19127578C22semidirect
132. #19127578C22semidirect
133. #19127577C22semidirect
134. #19127577C22semidirect
135. #19127577C22semidirect
136. #19127577C22semidirect
137. #19127576C22semidirect
138. #19127576C22semidirect
139. #19127575C22semidirect
140. #19127575C22semidirect
141. #19127575C22semidirect
142. #19127574C22semidirect
143. #19127573C22semidirect
144. #19127572C22semidirect
145. #19127570C22semidirect
146. #19127565C22semidirect
147. #19127563C22semidirect
148. #19127561C22semidirect
151. #19127560C22semidirect
156. C4⋊C4×Dic83C22semidirect
157. C4×Dic83⋊C4C22semidirect
158. #19127552C22semidirect
159. #19127552C22semidirect
160. C22⋊C4×Dic83C22semidirect
161. C4×(C2×D83)⋊C4C22semidirect
162. C4×(C2×D83)⋊C4C22semidirect
163. C4×(C2×D83)⋊C4C22semidirect
164. C4×C22⋊Dic83C22semidirect
167. #19127548C22semidirect
168. #19127548C22semidirect
169. #19127546C22semidirect
170. C2×C83⋊#95C22semidirect
171. #95×D83C22semidirect
172. C42×Dic83C22semidirect
174. #390×C83C22semidirect
175. #390×C83C22semidirect
176. #388×C83C22semidirect
177. #388×C83C22semidirect
178. #387×C83C22semidirect
179. #387×C83C22semidirect
182. #386×C83C22semidirect
183. #386×C83C22semidirect
184. #381×C83C22semidirect
185. C4×C22⋊C4×C83C22semidirect
186. C4×C22⋊C4×C83C22semidirect
187. C4×C22⋊C4×C83C22semidirect
192. C2×#13050590C2×C4semidirect
208. C2×D4×D83C2×C4semidirect
221. #14581788C2×C4semidirect
222. #14581788C2×C4semidirect
223. #14581778C2×C4semidirect
224. #14581778C2×C4semidirect
225. #14581767C2×C4semidirect
226. #14581766C2×C4semidirect
227. #14581763C2×C4semidirect
228. #14581762C2×C4semidirect
229. #14581762C2×C4semidirect
230. #14581760C2×C4semidirect
231. #14581760C2×C4semidirect
248. #14581750C2×C4semidirect
352. #121×C83C2×C4semidirect
894. #2333D83semidirect
907. C83#34438semidirect
962. #390C2×D83semidirect
963. #390C2×D83semidirect
986. #388C2×D83semidirect
987. #388C2×D83semidirect
994. #387C2×D83semidirect
995. #387C2×D83semidirect
1022. #386C2×D83semidirect
1023. #386C2×D83semidirect
1035. #381C2×D83semidirect
1057. C4×C22⋊C4C2×D83semidirect
1058. C4×C22⋊C4C2×D83semidirect
1059. C4×C22⋊C4C2×D83semidirect
1110. #121C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282672
#249106222
#249106152
#249106032
#249106002
#249105372
#249105352
#249105262
#249105242
#249105132
#249105122
#249104452
#249104432
#249103032
#249102872
#249102812
#249102272
#249101842
#249101722
#249101682
#249101622
#249101262
#249101232
#249101222
#249101162
#249100692
#249100272
C4×#145817782
#249099552
C83×#23332
#3443883