Finite Group Databasebeta

← #35568485

Subgroups — #35568485

Order 21248.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128287C211yesmaximal, characteristic
2#24910632C211yesmaximal, characteristic, complemented
3#24910616C211yesmaximal, characteristic, complemented
4#24910615C211yesmaximal, characteristic, complemented
5#24910600C211yesmaximal, characteristic, complemented
6#24910589C211yesmaximal, characteristic, complemented
7#24910588C211yesmaximal, characteristic, complemented
8#24910571C211yesmaximal, characteristic, complemented
9#24910529C211yesmaximal, characteristic, complemented
10#24910529C211yesmaximal, characteristic, complemented
11#24910496C211yesmaximal, characteristic, complemented
12#24910484C211yesmaximal, characteristic, complemented
13#24910443C211yesmaximal, characteristic, complemented
14#24910432C211yesmaximal, characteristic, complemented
15#24910387C211yesmaximal, characteristic, complemented
16#24910307C211yesmaximal, characteristic, complemented
17#24910306C211yesmaximal, characteristic, complemented
18#24910259C211yesmaximal, characteristic, complemented
19#24910236C211yesmaximal, characteristic, complemented
20#24910233C211yesmaximal, characteristic, complemented
21#24910228C211yesmaximal, characteristic, complemented
22#24910215C211yesmaximal, characteristic, complemented
23#24910143C211yesmaximal, characteristic, complemented
24#24910127C211yesmaximal, characteristic, complemented
25#24910120C211yesmaximal, characteristic, complemented
26#24910116C211yesmaximal, characteristic, complemented
27#24910105C211yesmaximal, characteristic, complemented
28#123×Dic83C211yesmaximal, characteristic, complemented
29#24909969C211yesmaximal, characteristic, complemented
30#24909902C211yesmaximal, characteristic, complemented
31C83×#2335C211yesmaximal, characteristic, complemented
32#19128287C4116yescomplemented
33C2×#14581787C2211yescharacteristic
34C2×#14581785C2211yescharacteristic
35C2×#14581778C2211yescharacteristic
36C2×#14581778C2211yescharacteristic
37C2×#14581777C2211yescharacteristic
38C2×#14581772C2211yescharacteristic
39C2×#14581766C2211yescharacteristic
40C2×#14581765C2211yescharacteristic
41C2×#14581763C2211yescharacteristic
42C2×#14581762C2211yescharacteristic
43C2×#14581760C2211yescharacteristic
44C2×#14581757C2211yescharacteristic, complemented
45C2×D4×Dic83C2211yescharacteristic
46C2×#14581754C2211yescharacteristic
47C2×#14581754C2211yescharacteristic
48C2×C4×C22⋊D83C2211yescharacteristic
49C2×(C22⋊D83)⋊C4C2211yescharacteristic
50C2×(C22⋊D83)⋊C4C2211yescharacteristic
51C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
52C2×#14581749C2211yescharacteristic
53C2×#14581749C2211yescharacteristic
54C2×C4⋊C4×D83C2211yescharacteristic, complemented
55C22×(C2×D83)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D83C2211yescharacteristic
57C2×C22⋊C4×D83C2211yescharacteristic
58C22×C4×Dic83C2211yescharacteristic, complemented
59#19127607C2211yescharacteristic, complemented
60#19127605C2211yescharacteristic, complemented
61#19127605C2211yescharacteristic, complemented
62#19127603C2211yescharacteristic
63#19127602C2211yescharacteristic
64#19127602C2211yescharacteristic
65#19127601C2211yescharacteristic
66#19127601C2211yescharacteristic
67#19127601C2211yescharacteristic
68#19127601C2211yescharacteristic
69#19127601C2211yescharacteristic, complemented
70#19127597C2211yescharacteristic, complemented
71#19127597C2211yescharacteristic, complemented
72#19127596C2211yescharacteristic, complemented
73#19127596C2211yescharacteristic, complemented
74#19127596C2211yescharacteristic, complemented
75#19127595C2211yescharacteristic
76#19127594C2211yescharacteristic
77#19127594C2211yescharacteristic
78#19127593C2211yescharacteristic
79#19127593C2211yescharacteristic, complemented
80#19127592C2211yescharacteristic
81#19127592C2211yescharacteristic
82#19127592C2211yescharacteristic
83#19127592C2211yescharacteristic
84#19127592C2211yescharacteristic, complemented
85#19127591C2211yescharacteristic
86#19127591C2211yescharacteristic
87#19127591C2211yescharacteristic
88#19127591C2211yescharacteristic
89#19127591C2211yescharacteristic
90#19127590C2211yescharacteristic
91#19127590C2211yescharacteristic
92#19127590C2211yescharacteristic
93#19127590C2211yescharacteristic
94#19127590C2211yescharacteristic
95#19127590C2211yescharacteristic
96#19127590C2211yescharacteristic, complemented
97#19127590C2211yescharacteristic, complemented
98#19127589C2211yescharacteristic
99#19127589C2211yescharacteristic
100#19127589C2211yescharacteristic
101#19127589C2211yescharacteristic, complemented
102#19127589C2211yescharacteristic, complemented
103#19127588C2211yescharacteristic, complemented
104#19127587C2211yescharacteristic, complemented
105#19127587C2211yescharacteristic, complemented
106#19127586C2211yescharacteristic, complemented
107#19127585C2211yescharacteristic, complemented
108#19127584C2211yescharacteristic, complemented
109#19127584C2211yescharacteristic, complemented
110#19127584C2211yescharacteristic, complemented
111#19127583C2211yescharacteristic, complemented
112#19127583C2211yescharacteristic, complemented
113#19127581C2211yescharacteristic
114#19127580C2211yescharacteristic
115#19127579C2211yescharacteristic
116#19127579C2211yescharacteristic
117#19127579C2211yescharacteristic
118#19127579C2211yescharacteristic
119#19127578C2211yescharacteristic
120#19127578C2211yescharacteristic
121#19127578C2211yescharacteristic
122#19127578C2211yescharacteristic, complemented
123#19127577C2211yescharacteristic
124#19127577C2211yescharacteristic
125#19127577C2211yescharacteristic, complemented
126#19127576C2211yescharacteristic, complemented
127#19127575C2211yescharacteristic
128#19127575C2211yescharacteristic
129#19127575C2211yescharacteristic
130#19127574C2211yescharacteristic
131#19127573C2211yescharacteristic
132#19127573C2211yescharacteristic
133#19127573C2211yescharacteristic, complemented
134#19127573C2211yescharacteristic, complemented
135#19127572C2211yescharacteristic
136#19127572C2211yescharacteristic, complemented
137#19127566C2211yescharacteristic, complemented
138#19127565C2211yescharacteristic, complemented
139#19127564C2211yescharacteristic, complemented
140#19127563C2211yescharacteristic
141#19127563C2211yescharacteristic
142#19127563C2211yescharacteristic, complemented
143#19127560C2211yescharacteristic
144#19127560C2211yescharacteristic, complemented
145#19127558C2211yescharacteristic
146#19127556C2211yescharacteristic
147#19127556C2211yescharacteristic
148C4⋊C4×Dic83C2211yescharacteristic, complemented
149C4⋊C4×Dic83C2211yescharacteristic, complemented
150C4⋊C4×Dic83C2211yescharacteristic, complemented
151C4×Dic83⋊C4C2211yescharacteristic, complemented
152C4×Dic83⋊C4C2211yescharacteristic, complemented
153C4×C4⋊Dic83C2211yescharacteristic, complemented
154#19127552C2211yescharacteristic, complemented
155#19127552C2211yescharacteristic, complemented
156#19127552C2211yescharacteristic, complemented
157C22⋊C4×Dic83C2211yescharacteristic
158C22⋊C4×Dic83C2211yescharacteristic
159C22⋊C4×Dic83C2211yescharacteristic, complemented
160C4×(C2×D83)⋊C4C2211yescharacteristic
161C4×(C2×D83)⋊C4C2211yescharacteristic
162C4×(C2×D83)⋊C4C2211yescharacteristic
163C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
166C4×C22⋊Dic83C2211yescharacteristic
167#19127548C2211yescharacteristic
168#19127548C2211yescharacteristic
169#19127548C2211yescharacteristic
170#19127548C2211yescharacteristic, complemented
171#19127547C2211yescharacteristic, complemented
172#19127546C2211yescharacteristic, complemented
173C2×#123×C83C2211yescharacteristic
174#390×C83C2211yescharacteristic
175#389×C83C2211yescharacteristic, complemented
176#388×C83C2211yescharacteristic
177#388×C83C2211yescharacteristic
178#388×C83C2211yescharacteristic, complemented
179#388×C83C2211yescharacteristic, complemented
180#387×C83C2211yescharacteristic, complemented
181#387×C83C2211yescharacteristic, complemented
182#386×C83C2211yescharacteristic
183#385×C83C2211yescharacteristic
184#380×C83C2211yescharacteristic, complemented
185C4×C4⋊C4×C83C2211yescharacteristic, complemented
186C4×C22⋊C4×C83C2211yescharacteristic
187C4×C22⋊C4×C83C2211yescharacteristic, complemented
188C24×D83C2311yescharacteristic
189C22×Dic166C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C23×Dic83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198C23×Dic83C2311yescharacteristic
199C22×C4×D83C2311yescharacteristic
200C22×C4×D83C2311yescharacteristic
201C22×C4×D83C2311yescharacteristic
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206#14581787C2×C418yescomplemented
207#14581785C2×C418yescomplemented
208#14581778C2×C418yescomplemented
209#14581778C2×C418yescomplemented
210#14581777C2×C418yescomplemented
211#14581772C2×C418yescomplemented
212#14581766C2×C418yescomplemented
213#14581765C2×C418yescomplemented
214#14581763C2×C418yescomplemented
215#14581762C2×C418yescomplemented
216#14581760C2×C418yescomplemented
217#14581757—42no—
218D4×Dic83—42no—
219#14581754—42no—
220#14581754C2×C418yescomplemented
221C4×C22⋊D83C2×C418yescomplemented
222(C22⋊D83)⋊C4—42no—
223(C22⋊D83)⋊C4—42no—
224(C22⋊D83)⋊C4—42no—
225#14581749—42no—
226#14581749—42no—
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊Dic83C2311yescharacteristic
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C4⋊C4×D83—42no—
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×(C2×D83)⋊C4—42no—
256C2×(C2×D83)⋊C4C2311yescharacteristic
257C2×(C2×D83)⋊C4C2311yescharacteristic
258C2×(C2×D83)⋊C4C2311yescharacteristic
259C2×(C2×D83)⋊C4C2311yescharacteristic
260C2×(C2×D83)⋊C4C2311yescharacteristic
261C2×(C2×D83)⋊C4C2311yescharacteristic
262C2×(C2×D83)⋊C4C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
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
284C22⋊C4×D83—42no—
285C22⋊C4×D83C2×C418yescomplemented
286C2×C4×Dic83—42no—
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C2×C4×Dic83C2311yescharacteristic
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C23×C4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337#123×C83C2×C418yescomplemented
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C4⋊C4×C83C2311yescharacteristic
340C2×C4⋊C4×C83C2311yescharacteristic
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C42×C83C2311yescharacteristic
356C2×C42×C83C2311yescharacteristic
357C2×C42×C83C2311yescharacteristic
358C2×C42×C83C2311yescharacteristic
359C2×C42×C83C2311yescharacteristic
360#95×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369#95×C83C2311yescharacteristic
370C23×D83—41no—
371C23×D83—41no—
372C23×D83—41no—
373C23×D83—41no—
374C23×D83—41no—
375C23×D83—41no—
376C23×D83C22×C414yes—
377C23×D83C2411yescharacteristic
378C23×D83C2411yescharacteristic
379C23×D83C2411yescharacteristic
380C2×Dic166—41no—
381C2×Dic166—41no—
382C2×Dic166C22×C414yes—
383C2×D332—41no—
384C2×D332—41no—
385C2×D332—41no—
386C2×D332—41no—
387C2×D332C22×C414yes—
388C2×D332C22×C414yes—
389C2×C22⋊D83—41no—
390C2×C22⋊D83—41no—
391C2×C22⋊D83—41no—
392C2×C22⋊D83—41no—
393C2×C22⋊D83—41no—
394C2×C22⋊D83—41no—
395C2×C22⋊D83—41no—
396C2×C22⋊D83—41no—
397C2×C22⋊D83C22×C414yes—
398C2×C22⋊D83C22×C414yes—
399C2×C22⋊D83C22×C414yes—
400C2×C22⋊D83C22×C414yes—
401C22×Dic83—22no—
402C22×Dic83—22no—
403C22×Dic83—22no—
404C22×Dic83—41no—
405C22×Dic83—41no—
406C22×Dic83—41no—
407C22×Dic83—41no—
408C22×Dic83—41no—
409C22×Dic83—41no—
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C2×C4×D83—22no—
424C2×C4×D83—22no—
425C2×C4×D83—41no—
426C2×C4×D83—41no—
427C2×C4×D83—41no—
428C2×C4×D83—41no—
429C2×C4×D83—41no—
430C2×C4×D83—41no—
431C2×C4×D83—41no—
432C2×C4×D83—41no—
433C2×C4×D83—41no—
434C2×C4×D83—41no—
435C2×C4×D83—41no—
436C2×C4×D83—41no—
437C2×C4×D83—41no—
438C2×C4×D83—41no—
439C2×C4×D83—41no—
440C2×C4×D83—41no—
441C2×C4×D83C22×C414yes—
442C2×C4×D83C22×C414yes—
443C2×C4×D83C22×C414yes—
444C4⋊Dic83—22no—
445C4⋊Dic83—41no—
446C4⋊Dic83—41no—
447C4⋊Dic83C22×C414yes—
448C4⋊Dic83C22×C414yes—
449Dic83⋊C4—22no—
450Dic83⋊C4—22no—
451Dic83⋊C4—22no—
452Dic83⋊C4—22no—
453Dic83⋊C4—41no—
454Dic83⋊C4—41no—
455Dic83⋊C4—41no—
456Dic83⋊C4—41no—
457Dic83⋊C4—41no—
458Dic83⋊C4—41no—
459Dic83⋊C4—41no—
460Dic83⋊C4—41no—
461Dic83⋊C4C22×C414yes—
462Dic83⋊C4C22×C414yes—
463C22⋊Dic83—22no—
464C22⋊Dic83—41no—
465C22⋊Dic83—41no—
466C22⋊Dic83—41no—
467C22⋊Dic83—41no—
468C22⋊Dic83C22×C414yes—
469C22⋊Dic83C22×C414yes—
470C22⋊Dic83C22×C414yes—
471(C2×D83)⋊C4—22no—
472(C2×D83)⋊C4—22no—
473(C2×D83)⋊C4—22no—
474(C2×D83)⋊C4—22no—
475(C2×D83)⋊C4—41no—
476(C2×D83)⋊C4—41no—
477(C2×D83)⋊C4—41no—
478(C2×D83)⋊C4—41no—
479(C2×D83)⋊C4—41no—
480(C2×D83)⋊C4—41no—
481(C2×D83)⋊C4—41no—
482(C2×D83)⋊C4—41no—
483(C2×D83)⋊C4—41no—
484(C2×D83)⋊C4—41no—
485(C2×D83)⋊C4—41no—
486(C2×D83)⋊C4—41no—
487(C2×D83)⋊C4—41no—
488(C2×D83)⋊C4—41no—
489(C2×D83)⋊C4—41no—
490(C2×D83)⋊C4—41no—
491(C2×D83)⋊C4C22×C414yes—
492(C2×D83)⋊C4C22×C414yes—
493(C2×D83)⋊C4C22×C414yes—
494(C2×D83)⋊C4C22×C414yes—
495(C2×D83)⋊C4C22×C414yes—
496(C2×D83)⋊C4C22×C414yes—
497(C2×D83)⋊C4C22×C414yes—
498(C2×D83)⋊C4C22×C414yes—
499C4×Dic83—22no—
500C4×Dic83—22no—
501C4×Dic83—22no—
502C4×Dic83—41no—
503C4×Dic83—41no—
504C4×Dic83—41no—
505C4×Dic83—41no—
506C4×Dic83—41no—
507C4×Dic83—41no—
508C4×Dic83—41no—
509C4×Dic83—41no—
510C4×Dic83—41no—
511C4×Dic83—41no—
512C4×Dic83—41no—
513C4×Dic83—41no—
514C4×Dic83C22×C414yes—
515C4×Dic83C22×C414yes—
516C24×C83C2411yescharacteristic
517C24×C83C2411yescharacteristic
518C2×D4×C83—41no—
519C2×D4×C83—41no—
520C2×D4×C83C22×C414yes—
521C22×C4×C83—41no—
522C22×C4×C83—41no—
523C22×C4×C83—41no—
524C22×C4×C83—41no—
525C22×C4×C83—41no—
526C22×C4×C83C22×C414yes—
527C22×C4×C83C2411yescharacteristic
528C22×C4×C83C2411yescharacteristic
529C22×C4×C83C2411yescharacteristic
530C22×C4×C83C2411yescharacteristic
531C22×C4×C83C2411yescharacteristic
532C22×C4×C83C2411yescharacteristic
533C22×C4×C83C2411yescharacteristic
534C22×C4×C83C2411yescharacteristic
535C22×C4×C83C2411yescharacteristic
536C22×C4×C83C2411yescharacteristic
537C22×C4×C83C2411yescharacteristic
538C22×C4×C83C2411yescharacteristic
539C22×C4×C83C2411yescharacteristic
540C4⋊C4×C83—41no—
541C4⋊C4×C83—41no—
542C4⋊C4×C83—41no—
543C4⋊C4×C83—41no—
544C4⋊C4×C83—41no—
545C4⋊C4×C83C22×C414yes—
546C4⋊C4×C83C22×C414yes—
547C22⋊C4×C83—41no—
548C22⋊C4×C83—41no—
549C22⋊C4×C83—41no—
550C22⋊C4×C83—41no—
551C22⋊C4×C83—41no—
552C22⋊C4×C83—41no—
553C22⋊C4×C83—41no—
554C22⋊C4×C83C22×C414yes—
555C22⋊C4×C83C22×C414yes—
556C22⋊C4×C83C22×C414yes—
557C42×C83—41no—
558C42×C83—41no—
559C42×C83—41no—
560C42×C83—41no—
561C42×C83—41no—
562C23×C83—21no—
563C23×C83—21no—
564C23×C83—21no—
565C23×C83—21no—
566C23×C83—21no—
567C23×C83—21no—
568C23×C83—21no—
569C23×C83—21no—
570C23×C83—21no—
571C23×C83—21no—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83C23×C412yes—
575C23×C83C23×C412yes—
576C23×C83C2511yescharacteristic
577C22×D83—21no—
578C22×D83—21no—
579C22×D83—21no—
580C22×D83—21no—
581C22×D83—21no—
582C22×D83—21no—
583C22×D83—21no—
584C22×D83—21no—
585C22×D83—21no—
586C22×D83—21no—
587C22×D83—21no—
588C22×D83—21no—
589C22×D83—21no—
590C22×D83—21no—
591C22×D83—21no—
592C22×D83—21no—
593C22×D83—21no—
594C22×D83—21no—
595C22×D83—44no—
596C22×D83—44no—
597C22×D83—44no—
598C22×D83—82no—
599C22×D83—82no—
600C22×D83—82no—
601C22×D83—82no—
602C22×D83C23×C412yes—
603C22×D83C23×C412yes—
604C22×D83C23×C412yes—
605D4×C83—44no—
606C2×C4×C83—21no—
607C2×C4×C83—21no—
608C2×C4×C83—21no—
609C2×C4×C83—21no—
610C2×C4×C83—21no—
611C2×C4×C83—21no—
612C2×C4×C83—21no—
613C2×C4×C83—21no—
614C2×C4×C83—21no—
615C2×C4×C83—21no—
616C2×C4×C83—21no—
617C2×C4×C83—21no—
618C2×C4×C83—21no—
619C2×C4×C83—21no—
620C2×C4×C83—21no—
621C2×C4×C83—21no—
622C2×C4×C83—21no—
623C2×C4×C83—21no—
624C2×C4×C83—21no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—44no—
641C2×C4×C83—82no—
642C2×C4×C83C23×C412yes—
643C2×C4×C83C23×C412yes—
644C2×C4×C83C23×C412yes—
645C2×C4×C83C23×C412yes—
646C2×C4×C83C23×C412yes—
647C22⋊D83—44no—
648C22⋊D83—44no—
649C22⋊D83—44no—
650C22⋊D83—44no—
651C2×Dic83—21no—
652C2×Dic83—21no—
653C2×Dic83—21no—
654C2×Dic83—21no—
655C2×Dic83—21no—
656C2×Dic83—21no—
657C2×Dic83—21no—
658C2×Dic83—21no—
659C2×Dic83—21no—
660C2×Dic83—21no—
661C2×Dic83—21no—
662C2×Dic83—21no—
663C2×Dic83—21no—
664C2×Dic83—21no—
665C2×Dic83—21no—
666C2×Dic83—21no—
667C2×Dic83—21no—
668C2×Dic83—21no—
669C2×Dic83—21no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—44no—
684C2×Dic83—44no—
685C2×Dic83—82no—
686C2×Dic83C23×C412yes—
687C2×Dic83C23×C412yes—
688C2×Dic83C23×C412yes—
689C2×Dic83C23×C412yes—
690C2×Dic83C23×C412yes—
691C2×Dic83H(5,𝔽2)12yes—
692C2×Dic83H(5,𝔽2)12yes—
693D332—44no—
694D332—44no—
695C4×D83—44no—
696C4×D83—44no—
697C4×D83—44no—
698C4×D83—82no—
699C4×D83—82no—
700C4×D83—82no—
701C4×D83—82no—
702Dic166—44no—
703C22×C83—22no—
704C22×C83—22no—
705C22×C83—22no—
706C22×C83—22no—
707C22×C83—22no—
708C22×C83—22no—
709C22×C83—41no—
710C22×C83—41no—
711C22×C83—41no—
712C22×C83—41no—
713C22×C83—41no—
714C22×C83—41no—
715C22×C83—41no—
716C22×C83—41no—
717C22×C83C24×C411yescharacteristic
718C22×C83C2×H(5,𝔽2)11yescharacteristic
719C22×C83C2×H(5,𝔽2)11yescharacteristic
720C22×C83#58511yescharacteristic
721C22×C83#58511yescharacteristic
722C22×C83#58511yescharacteristic
723C22×C83#58511yescharacteristic
724C2×D83—22no—
725C2×D83—22no—
726C2×D83—22no—
727C2×D83—22no—
728C2×D83—22no—
729C2×D83—22no—
730C2×D83—22no—
731C2×D83—22no—
732C2×D83—22no—
733C2×D83—41no—
734C2×D83—41no—
735C2×D83—41no—
736C2×D83—41no—
737C2×D83—41no—
738C2×D83—41no—
739C2×D83—41no—
740C2×D83—41no—
741C2×D83—41no—
742C2×D83—41no—
743C2×D83—41no—
744C2×D83—41no—
745C2×D83—88no—
746C4×C83—22no—
747C4×C83—22no—
748C4×C83—22no—
749C4×C83—22no—
750C4×C83—22no—
751C4×C83—41no—
752C4×C83—41no—
753C4×C83—41no—
754C4×C83—41no—
755C4×C83—41no—
756C4×C83—41no—
757C4×C83—41no—
758C4×C83—41no—
759Dic83—22no—
760Dic83—22no—
761Dic83—22no—
762Dic83—22no—
763Dic83—22no—
764Dic83—22no—
765Dic83—22no—
766Dic83—41no—
767Dic83—41no—
768Dic83—41no—
769Dic83—41no—
770Dic83—41no—
771Dic83—41no—
772#34441—831nomaximal, Sylow
773C2×C83—42no—
774C2×C83—42no—
775C2×C83#342811yescharacteristic
776C2×C83C4×H(5,𝔽2)11yescharacteristic
777C2×C83C4×H(5,𝔽2)11yescharacteristic
778C2×C83#353411yescharacteristic
779C2×C83#354011yescharacteristic
780C2×C83#356211yescharacteristic
781C2×C83#356611yescharacteristic
782D83—42no—
783D83—42no—
784D83—42no—
785C2×#538—831no—
786#2379—831no—
787#2377—831no—
788#2377—831no—
789#2375—831no—
790#2373—831no—
791#2373—831no—
792#2372—831no—
793#2367—831no—
794#2367—831no—
795#2363—831no—
796#2361—831no—
797#2358—831no—
798#2357—831no—
799#2352—831no—
800#2342—831no—
801#2342—831no—
802#2335—831no—
803#2335D8311yescharacteristic, complemented
804#2334—831no—
805#2334—831no—
806#2333—831no—
807#2332—831no—
808#2323—831no—
809#2322—831no—
810#2321—831no—
811#2321—831no—
812#2319—831no—
813C4×#123—831no—
814C4×#121—831no—
815#2290—831no—
816C83#3444111yescharacteristic, complemented, Sylow
817#538—8316no—
818C2×#126—831no—
819C2×#126—831no—
820C2×#124—831no—
821C2×#124—831no—
822C2×#123—831no—
823C2×#123C2×D8311yescharacteristic
824C2×C22⋊Q8—831no—
825C2×#121—831no—
826C2×#121—831no—
827C2×#121—831no—
828C2×#120—831no—
829C2×#120—831no—
830C2×C4×Q8—831no—
831C2×C4×D4—831no—
832C2×C4×D4—831no—
833C2×C4×D4—831no—
834C2×C4×D4—831no—
835C2×C4×D4—831no—
836C2×C4×D4—831no—
837C2×C4×D4—831no—
838C2×#117—831no—
839C2×#117—831no—
840C22×C4⋊C4—831no—
841C22×C22⋊C4—831no—
842C22×C22⋊C4—831no—
843C22×C22⋊C4—831no—
844C22×C42—831no—
845#391—831no—
846#391—831no—
847#391—831no—
848#390—831no—
849#390—831no—
850#390—831no—
851#390—831no—
852#390—831no—
853#390—831no—
854#390—831no—
855#390—831no—
856#390C2×D8311yescharacteristic
857#389—831no—
858#389—831no—
859#389—831no—
860#389—831no—
861#389—831no—
862#389C2×D8311yescharacteristic, complemented
863#388—831no—
864#388—831no—
865#388—831no—
866#388—831no—
867#388—831no—
868#388—831no—
869#388—831no—
870#388—831no—
871#388—831no—
872#388—831no—
873#388—831no—
874#388—831no—
875#388—831no—
876#388—831no—
877#388—831no—
878#388—831no—
879#388—831no—
880#388—831no—
881#388—831no—
882#388—831no—
883#388—831no—
884#388—831no—
885#388—831no—
886#388—831no—
887#388—831no—
888#388—831no—
889#388—831no—
890#388—831no—
891#388C2×D8311yescharacteristic
892#388C2×D8311yescharacteristic
893#388C2×D8311yescharacteristic, complemented
894#388C2×D8311yescharacteristic, complemented
895#387—831no—
896#387—831no—
897#387—831no—
898#387—831no—
899#387—831no—
900#387—831no—
901#387—831no—
902#387—831no—
903#387—831no—
904#387—831no—
905#387C2×D8311yescharacteristic, complemented
906#387C2×D8311yescharacteristic, complemented
907#386—831no—
908#386—831no—
909#386—831no—
910#386—831no—
911#386—831no—
912#386—831no—
913#386—831no—
914#386—831no—
915#386—831no—
916#386—831no—
917#386—831no—
918#386—831no—
919#386—831no—
920#386C2×D8311yescharacteristic
921#385—831no—
922#385—831no—
923#385—831no—
924#385—831no—
925#385—831no—
926#385—831no—
927#385—831no—
928#385—831no—
929#385—831no—
930#385—831no—
931#385—831no—
932#385C2×D8311yescharacteristic
933#382—831no—
934#382—831no—
935#381—831no—
936#381—831no—
937#381—831no—
938#381—831no—
939#380—831no—
940#380—831no—
941#380—831no—
942#380C2×D8311yescharacteristic, complemented
943#379—831no—
944#379—831no—
945C4×C4⋊C4—831no—
946C4×C4⋊C4—831no—
947C4×C4⋊C4—831no—
948C4×C4⋊C4—831no—
949C4×C4⋊C4—831no—
950C4×C4⋊C4—831no—
951C4×C4⋊C4—831no—
952C4×C4⋊C4—831no—
953C4×C4⋊C4—831no—
954C4×C4⋊C4C2×D8311yescharacteristic, complemented
955C4×C22⋊C4—831no—
956C4×C22⋊C4—831no—
957C4×C22⋊C4—831no—
958C4×C22⋊C4—831no—
959C4×C22⋊C4—831no—
960C4×C22⋊C4—831no—
961C4×C22⋊C4—831no—
962C4×C22⋊C4—831no—
963C4×C22⋊C4—831no—
964C4×C22⋊C4—831no—
965C4×C22⋊C4—831no—
966C4×C22⋊C4—831no—
967C4×C22⋊C4—831no—
968C4×C22⋊C4—831no—
969C4×C22⋊C4C2×D8311yescharacteristic
970C4×C22⋊C4C2×D8311yescharacteristic, complemented
971#376—831no—
972#376—831no—
973C25—831no—
974C22×Q8—831no—
975C22×D4—831no—
976C22×D4—831no—
977C22×D4—831no—
978C22×D4—831no—
979C22×D4—831no—
980C22×D4—831no—
981C22×D4C22×D8311yescharacteristic
982C23×C4—831no—
983C23×C4—831no—
984C23×C4—831no—
985C23×C4—831no—
986C23×C4—831no—
987C23×C4—831no—
988C23×C4—831no—
989C23×C4—831no—
990C23×C4—831no—
991C23×C4—831no—
992C23×C4C22×D8311yescharacteristic
993C23×C4C22×D8311yescharacteristic
994#126—838no—
995#126—838no—
996#124—838no—
997#124—838no—
998#123—838no—
999#123C4×D8318yescomplemented
1000C22⋊Q8—838no—
1001#121—838no—
1002#121—838no—
1003#121—838no—
1004#120—838no—
1005#120—838no—
1006C4×Q8—3322no—
1007C4×D4—3322no—
1008C4×D4—3322no—
1009C4×D4—3322no—
1010C4×D4—3322no—
1011C4×D4—3322no—
1012C4×D4—838no—
1013C4×D4—838no—
1014#117—3322no—
1015#117—3322no—
1016C2×C4⋊C4—3322no—
1017C2×C4⋊C4—831no—
1018C2×C4⋊C4—831no—
1019C2×C4⋊C4—831no—
1020C2×C4⋊C4—831no—
1021C2×C4⋊C4—831no—
1022C2×C4⋊C4—831no—
1023C2×C4⋊C4—831no—
1024C2×C4⋊C4—831no—
1025C2×C4⋊C4—831no—
1026C2×C4⋊C4—831no—
1027C2×C4⋊C4—831no—
1028C2×C4⋊C4—831no—
1029C2×C4⋊C4—831no—
1030C2×C4⋊C4—831no—
1031C2×C4⋊C4—831no—
1032C2×C4⋊C4—831no—
1033C2×C4⋊C4—831no—
1034C2×C4⋊C4—831no—
1035C2×C4⋊C4—831no—
1036C2×C4⋊C4C22×D8311yescharacteristic
1037C2×C4⋊C4C22×D8311yescharacteristic
1038C2×C4⋊C4C22×D8311yescharacteristic
1039C2×C4⋊C4C22×D8311yescharacteristic
1040C2×C4⋊C4C22×D8311yescharacteristic
1041C2×C4⋊C4C22×D8311yescharacteristic
1042C2×C4⋊C4C22×D8311yescharacteristic
1043C2×C22⋊C4—3322no—
1044C2×C22⋊C4—3322no—
1045C2×C22⋊C4—831no—
1046C2×C22⋊C4—831no—
1047C2×C22⋊C4—831no—
1048C2×C22⋊C4—831no—
1049C2×C22⋊C4—831no—
1050C2×C22⋊C4—831no—
1051C2×C22⋊C4—831no—
1052C2×C22⋊C4—831no—
1053C2×C22⋊C4—831no—
1054C2×C22⋊C4—831no—
1055C2×C22⋊C4—831no—
1056C2×C22⋊C4—831no—
1057C2×C22⋊C4—831no—
1058C2×C22⋊C4—831no—
1059C2×C22⋊C4—831no—
1060C2×C22⋊C4—831no—
1061C2×C22⋊C4—831no—
1062C2×C22⋊C4—831no—
1063C2×C22⋊C4—831no—
1064C2×C22⋊C4—831no—
1065C2×C22⋊C4—831no—
1066C2×C22⋊C4—831no—
1067C2×C22⋊C4—831no—
1068C2×C22⋊C4—831no—
1069C2×C22⋊C4—831no—
1070C2×C22⋊C4—831no—
1071C2×C22⋊C4—831no—
1072C2×C22⋊C4—831no—
1073C2×C22⋊C4—831no—
1074C2×C22⋊C4—831no—
1075C2×C22⋊C4—831no—
1076C2×C22⋊C4—838no—
1077C2×C22⋊C4—831no—
1078C2×C22⋊C4—831no—
1079C2×C22⋊C4—831no—
1080C2×C22⋊C4—831no—
1081C2×C22⋊C4—831no—
1082C2×C22⋊C4C22×D8311yescharacteristic
1083C2×C22⋊C4C22×D8311yescharacteristic
1084C2×C22⋊C4C22×D8311yescharacteristic
1085C2×C22⋊C4C22×D8311yescharacteristic
1086C2×C22⋊C4C22×D8311yescharacteristic
1087C2×C22⋊C4C22×D8311yescharacteristic
1088C2×C22⋊C4C22×D8311yescharacteristic
1089C2×C22⋊C4C22×D8311yescharacteristic
1090C2×C22⋊C4C22×D8311yescharacteristic
1091C2×C22⋊C4C22×D8311yescharacteristic
1092C2×C42—3322no—
1093C2×C42—831no—
1094C2×C42—831no—
1095C2×C42—831no—
1096C2×C42—831no—
1097C2×C42—831no—
1098C2×C42—831no—
1099C2×C42—831no—
1100C2×C42—831no—
1101C2×C42—831no—
1102C2×C42—831no—
1103C2×C42—831no—
1104C2×C42—831no—
1105C2×C42—831no—
1106C2×C42—831no—
1107C2×C42—831no—
1108C2×C42—831no—
1109C2×C42—831no—
1110C2×C42C22×D8311yescharacteristic
1111C2×C42C22×D8311yescharacteristic
1112C2×C42C22×D8311yescharacteristic
1113C2×C42C22×D8311yescharacteristic
1114C2×C42C22×D8311yescharacteristic
1115#95—831no—
1116#95—831no—
1117#95—831no—
1118#95—831no—
1119#95—831no—
1120#95—831no—
1121#95—831no—
1122#95—831no—
1123#95—831no—
1124#95—831no—
1125#95—831no—
1126#95—831no—
1127#95—831no—
1128#95—831no—
1129#95—831no—
1130#95—831no—
1131#95—831no—
1132#95—831no—
1133#95—831no—
1134#95—831no—
1135#95—831no—
1136#95—831no—
1137#95—831no—
1138#95—831no—
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95—831no—
1145#95C22×D8311yescharacteristic
1146#95C22×D8311yescharacteristic
1147#95C22×D8311yescharacteristic
1148#95C22×D8311yescharacteristic
1149#95C22×D8311yescharacteristic
1150#95C22×D8311yescharacteristic
1151#95C22×D8311yescharacteristic
1152#95C22×D8311yescharacteristic
1153#95C22×D8311yescharacteristic
1154#95C22×D8311yescharacteristic
1155C24—3321no—
1156C24—3321no—
1157C24—3321no—
1158C24—3321no—
1159C24—3321no—
1160C24—3321no—
1161C24—834no—
1162C24—831no—
1163C24—831no—
1164C24—831no—
1165C24C23×D8311yescharacteristic
1166C24C23×D8311yescharacteristic
1167C2×Q8—3321no—
1168C2×Q8—3321no—
1169C2×Q8—834no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—3321no—
1173C2×D4—3321no—
1174C2×D4—3321no—
1175C2×D4—3321no—
1176C2×D4—3321no—
1177C2×D4—3321no—
1178C2×D4—3321no—
1179C2×D4—3321no—
1180C2×D4—3321no—
1181C2×D4—3321no—
1182C2×D4—3321no—
1183C2×D4—3321no—
1184C2×D4—834no—
1185C2×D4—834no—
1186C2×D4—834no—
1187C2×D4—834no—
1188C2×D4—834no—
1189C2×D4—834no—
1190C2×D4C2×C4×D8314yes—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—3321no—
1197C22×C4—3321no—
1198C22×C4—3321no—
1199C22×C4—3321no—
1200C22×C4—3321no—
1201C22×C4—3321no—
1202C22×C4—3321no—
1203C22×C4—3321no—
1204C22×C4—3321no—
1205C22×C4—3321no—
1206C22×C4—3321no—
1207C22×C4—3321no—
1208C22×C4—3321no—
1209C22×C4—3321no—
1210C22×C4—3321no—
1211C22×C4—3321no—
1212C22×C4—3321no—
1213C22×C4—3321no—
1214C22×C4—3321no—
1215C22×C4—3321no—
1216C22×C4—3321no—
1217C22×C4—3321no—
1218C22×C4—834no—
1219C22×C4—834no—
1220C22×C4—834no—
1221C22×C4—831no—
1222C22×C4—831no—
1223C22×C4—831no—
1224C22×C4—831no—
1225C22×C4—831no—
1226C22×C4—831no—
1227C22×C4—831no—
1228C22×C4—831no—
1229C22×C4—831no—
1230C22×C4—831no—
1231C22×C4—831no—
1232C22×C4—831no—
1233C22×C4—831no—
1234C22×C4—1662no—
1235C22×C4—1662no—
1236C22×C4—1662no—
1237C22×C4—1662no—
1238C22×C4—1662no—
1239C22×C4C2×C4×D8314yes—
1240C22×C4C23×D8311yescharacteristic
1241C22×C4C23×D8311yescharacteristic
1242C22×C4C23×D8311yescharacteristic
1243C22×C4C23×D8311yescharacteristic
1244C22×C4C23×D8311yescharacteristic
1245C22×C4C23×D8311yescharacteristic
1246C22×C4C23×D8311yescharacteristic
1247C22×C4C23×D8311yescharacteristic
1248C22×C4C23×D8311yescharacteristic
1249C22×C4C23×D8311yescharacteristic
1250C22×C4C23×D8311yescharacteristic
1251C22×C4C23×D8311yescharacteristic
1252C22×C4C23×D8311yescharacteristic
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—3321no—
1259C4⋊C4—3321no—
1260C4⋊C4—3321no—
1261C4⋊C4—3321no—
1262C4⋊C4—3321no—
1263C4⋊C4—3321no—
1264C4⋊C4—3321no—
1265C4⋊C4—3321no—
1266C4⋊C4—3321no—
1267C4⋊C4—3321no—
1268C4⋊C4—834no—
1269C4⋊C4—834no—
1270C4⋊C4—834no—
1271C4⋊C4—834no—
1272C4⋊C4—1662no—
1273C4⋊C4—1662no—
1274C4⋊C4—1662no—
1275C4⋊C4—1662no—
1276C4⋊C4—1662no—
1277C4⋊C4C2×C4×D8314yes—
1278C4⋊C4C2×C4×D8314yes—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—3321no—
1287C22⋊C4—3321no—
1288C22⋊C4—3321no—
1289C22⋊C4—3321no—
1290C22⋊C4—3321no—
1291C22⋊C4—3321no—
1292C22⋊C4—3321no—
1293C22⋊C4—3321no—
1294C22⋊C4—3321no—
1295C22⋊C4—3321no—
1296C22⋊C4—3321no—
1297C22⋊C4—3321no—
1298C22⋊C4—3321no—
1299C22⋊C4—3321no—
1300C22⋊C4—3321no—
1301C22⋊C4—3321no—
1302C22⋊C4—3321no—
1303C22⋊C4—3321no—
1304C22⋊C4—3321no—
1305C22⋊C4—3321no—
1306C22⋊C4—834no—
1307C22⋊C4—834no—
1308C22⋊C4—834no—
1309C22⋊C4—834no—
1310C22⋊C4—834no—
1311C22⋊C4—834no—
1312C22⋊C4—834no—
1313C22⋊C4—834no—
1314C22⋊C4—834no—
1315C22⋊C4—834no—
1316C22⋊C4—834no—
1317C22⋊C4—1662no—
1318C22⋊C4—1662no—
1319C22⋊C4—1662no—
1320C22⋊C4—1662no—
1321C22⋊C4—1662no—
1322C22⋊C4C2×C4×D8314yes—
1323C22⋊C4C2×C4×D8314yes—
1324C22⋊C4C2×C4×D8314yes—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—3321no—
1331C42—3321no—
1332C42—3321no—
1333C42—3321no—
1334C42—3321no—
1335C42—3321no—
1336C42—3321no—
1337C42—3321no—
1338C42—3321no—
1339C42—3321no—
1340C42—3321no—
1341C42—3321no—
1342C42—834no—
1343C42—834no—
1344C42—1662no—
1345C42—1662no—
1346C42—1662no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—3324no—
1360C23—3324no—
1361C23—3324no—
1362C23—832no—
1363C23—832no—
1364C23—832no—
1365C23—6642no—
1366C23—6642no—
1367C23—6642no—
1368C23—6642no—
1369C23—1661no—
1370C23—1661no—
1371C23—1661no—
1372C23—1661no—
1373C23—1661no—
1374C23—1661no—
1375C23—1661no—
1376C23—1661no—
1377C23—1661no—
1378C23—1661no—
1379C23—1661no—
1380C23—1661no—
1381C23—1661no—
1382C23—1661no—
1383C23—1661no—
1384C23—1661no—
1385C23—1661no—
1386C23—1661no—
1387C23C22×C4×D8312yes—
1388C23C22×C4×D8312yes—
1389C23C24×D8311yescharacteristic
1390Q8—3324no—
1391D4—44no—
1392D4—3324no—
1393D4—3324no—
1394D4—3324no—
1395D4—3324no—
1396D4—3324no—
1397D4—3324no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—44no—
1433C2×C4—82no—
1434C2×C4—3324no—
1435C2×C4—3324no—
1436C2×C4—3324no—
1437C2×C4—3324no—
1438C2×C4—3324no—
1439C2×C4—832no—
1440C2×C4—832no—
1441C2×C4—832no—
1442C2×C4—832no—
1443C2×C4—832no—
1444C2×C4—832no—
1445C2×C4—832no—
1446C2×C4—6642no—
1447C2×C4—6642no—
1448C2×C4—6642no—
1449C2×C4—6642no—
1450C2×C4—6642no—
1451C2×C4—1661no—
1452C2×C4—1661no—
1453C2×C4—1661no—
1454C2×C4—1661no—
1455C2×C4—1661no—
1456C2×C4—1661no—
1457C2×C4—1661no—
1458C2×C4—1661no—
1459C2×C4—1661no—
1460C2×C4—1661no—
1461C2×C4—1661no—
1462C2×C4—1661no—
1463C2×C4—1661no—
1464C2×C4—1661no—
1465C2×C4—1661no—
1466C2×C4—1661no—
1467C2×C4—1661no—
1468C2×C4—1661no—
1469C2×C4—1661no—
1470C2×C4—1661no—
1471C2×C4—1661no—
1472C2×C4—1661no—
1473C2×C4—1661no—
1474C2×C4—1661no—
1475C2×C4—1661no—
1476C2×C4—1661no—
1477C2×C4—1661no—
1478C2×C4—1661no—
1479C2×C4—1661no—
1480C2×C4—1661no—
1481C2×C4—1661no—
1482C2×C4—1661no—
1483C2×C4C22×C4×D8312yes—
1484C2×C4C22×C4×D8312yes—
1485C2×C4C22×C4×D8312yes—
1486C2×C4C22×C4×D8312yes—
1487C2×C4C22×C4×D8312yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—3321no—
1503C22—3321no—
1504C22—3321no—
1505C22—3321no—
1506C22—3321no—
1507C22—3321no—
1508C22—3321no—
1509C22—3321no—
1510C22—3321no—
1511C22—3321no—
1512C22—3321no—
1513C22—3321no—
1514C22—6648no—
1515C22—1662no—
1516C22—1662no—
1517C22—1662no—
1518C22—1662no—
1519C22—1662no—
1520C22—1662no—
1521C22—1662no—
1522C22—1662no—
1523C22—1662no—
1524C22C23×C4×D8311yescharacteristic
1525C22H(5,𝔽2)×D8311yescharacteristic
1526C22H(5,𝔽2)×D8311yescharacteristic
1527C22#1912853611yescharacteristic
1528C22#1912853711yescharacteristic
1529C22#1912853711yescharacteristic
1530C22#1912853811yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—3321no—
1545C4—3321no—
1546C4—3321no—
1547C4—3321no—
1548C4—3321no—
1549C4—3321no—
1550C4—1662no—
1551C4—1662no—
1552C4—1662no—
1553C4—1662no—
1554C4—1662no—
1555C4—1662no—
1556C4—1662no—
1557C2—42no—
1558C2—42no—
1559C2—3322no—
1560C2—3322no—
1561C2—3322no—
1562C2#2492066211yescharacteristic
1563C2#2492066711yescharacteristic
1564C2#2492066911yescharacteristic
1565C2#2492164611yescharacteristic
1566C2#2492172811yescharacteristic
1567C2#2492205011yescharacteristic
1568C2#2492211911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2335C2
socle, cosocleC23×C83C25
prime radicalC2×#19128287C2
hypercenter#2335D83
hypocenterC83#34441
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #24910632C2semidirect
3. #24910616C2semidirect
4. #24910615C2semidirect
5. #24910600C2semidirect
6. #24910589C2semidirect
7. #24910588C2semidirect
8. #24910571C2semidirect
9. #24910529C2semidirect
10. #24910529C2semidirect
11. #24910496C2semidirect
12. #24910484C2semidirect
13. #24910443C2semidirect
14. #24910432C2semidirect
15. #24910387C2semidirect
16. #24910307C2semidirect
17. #24910306C2semidirect
18. #24910259C2semidirect
19. #24910236C2semidirect
20. #24910233C2semidirect
21. #24910228C2semidirect
22. #24910215C2semidirect
23. #24910143C2semidirect
24. #24910127C2semidirect
25. #24910120C2semidirect
26. #24910116C2semidirect
27. #24910105C2semidirect
28. #123×Dic83C2semidirect
29. #24909969C2semidirect
30. #24909902C2semidirect
31. C83×#2335C2semidirect
32. #19128287C4semidirect
44. C2×#14581757C22semidirect
51. C2×(C22⋊D83)⋊C4C22semidirect
54. C2×C4⋊C4×D83C22semidirect
58. C22×C4×Dic83C22semidirect
59. #19127607C22semidirect
60. #19127605C22semidirect
61. #19127605C22semidirect
69. #19127601C22semidirect
70. #19127597C22semidirect
71. #19127597C22semidirect
72. #19127596C22semidirect
73. #19127596C22semidirect
74. #19127596C22semidirect
79. #19127593C22semidirect
84. #19127592C22semidirect
96. #19127590C22semidirect
97. #19127590C22semidirect
101. #19127589C22semidirect
102. #19127589C22semidirect
103. #19127588C22semidirect
104. #19127587C22semidirect
105. #19127587C22semidirect
106. #19127586C22semidirect
107. #19127585C22semidirect
108. #19127584C22semidirect
109. #19127584C22semidirect
110. #19127584C22semidirect
111. #19127583C22semidirect
112. #19127583C22semidirect
122. #19127578C22semidirect
125. #19127577C22semidirect
126. #19127576C22semidirect
133. #19127573C22semidirect
134. #19127573C22semidirect
136. #19127572C22semidirect
137. #19127566C22semidirect
138. #19127565C22semidirect
139. #19127564C22semidirect
142. #19127563C22semidirect
144. #19127560C22semidirect
148. C4⋊C4×Dic83C22semidirect
149. C4⋊C4×Dic83C22semidirect
150. C4⋊C4×Dic83C22semidirect
151. C4×Dic83⋊C4C22semidirect
152. C4×Dic83⋊C4C22semidirect
153. C4×C4⋊Dic83C22semidirect
154. #19127552C22semidirect
155. #19127552C22semidirect
156. #19127552C22semidirect
159. C22⋊C4×Dic83C22semidirect
163. C4×(C2×D83)⋊C4C22semidirect
164. C4×(C2×D83)⋊C4C22semidirect
165. C4×(C2×D83)⋊C4C22semidirect
170. #19127548C22semidirect
171. #19127547C22semidirect
172. #19127546C22semidirect
175. #389×C83C22semidirect
178. #388×C83C22semidirect
179. #388×C83C22semidirect
180. #387×C83C22semidirect
181. #387×C83C22semidirect
184. #380×C83C22semidirect
185. C4×C4⋊C4×C83C22semidirect
187. C4×C22⋊C4×C83C22semidirect
206. #14581787C2×C4semidirect
207. #14581785C2×C4semidirect
208. #14581778C2×C4semidirect
209. #14581778C2×C4semidirect
210. #14581777C2×C4semidirect
211. #14581772C2×C4semidirect
212. #14581766C2×C4semidirect
213. #14581765C2×C4semidirect
214. #14581763C2×C4semidirect
215. #14581762C2×C4semidirect
216. #14581760C2×C4semidirect
220. #14581754C2×C4semidirect
221. C4×C22⋊D83C2×C4semidirect
285. C22⋊C4×D83C2×C4semidirect
337. #123×C83C2×C4semidirect
803. #2335D83semidirect
816. C83#34441semidirect
862. #389C2×D83semidirect
893. #388C2×D83semidirect
894. #388C2×D83semidirect
905. #387C2×D83semidirect
906. #387C2×D83semidirect
942. #380C2×D83semidirect
954. C4×C4⋊C4C2×D83semidirect
970. C4×C22⋊C4C2×D83semidirect
999. #123C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282872
#249106322
#249106162
#249106152
#249106002
#249105892
#249105882
#249105712
#249105292
#249104962
#249104842
#249104432
#249104322
#249103872
#249103072
#249103062
#249102592
#249102362
#249102332
#249102282
#249102152
#249101432
#249101272
#249101202
#249101162
#249101052
#123×Dic832
#249099692
#249099022
C83×#23352
#3444183