Finite Group Databasebeta

← #35569765

Subgroups — #35569765

Order 21248.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128342C211yesmaximal, characteristic
2#24910618C211yesmaximal, characteristic, complemented
3#24910608C211yesmaximal, characteristic, complemented
4#24910603C211yesmaximal, characteristic, complemented
5#24910574C211yesmaximal, characteristic, complemented
6#24910509C211yesmaximal, characteristic, complemented
7#24910500C211yesmaximal, characteristic, complemented
8#24910448C211yesmaximal, characteristic, complemented
9#24910441C211yesmaximal, characteristic, complemented
10#24910402C211yesmaximal, characteristic, complemented
11#24910400C211yesmaximal, characteristic, complemented
12#24910311C211yesmaximal, characteristic, complemented
13#24910307C211yesmaximal, characteristic, complemented
14#24910292C211yesmaximal, characteristic, complemented
15#24910283C211yesmaximal, characteristic, complemented
16#24910275C211yesmaximal, characteristic, complemented
17#24910259C211yesmaximal, characteristic, complemented
18#24910227C211yesmaximal, characteristic, complemented
19#24910221C211yesmaximal, characteristic, complemented
20#24910162C211yesmaximal, characteristic, complemented
21#24910127C211yesmaximal, characteristic, complemented
22#24910125C211yesmaximal, characteristic, complemented
23#24910116C211yesmaximal, characteristic, complemented
24#24910105C211yesmaximal, characteristic, complemented
25#24910057C211yesmaximal, characteristic, complemented
26#24910054C211yesmaximal, characteristic, complemented
27#24910040C211yesmaximal, characteristic, complemented
28#24909971C211yesmaximal, characteristic, complemented
29#24909901C211yesmaximal, characteristic, complemented
30#388×D83C211yesmaximal, characteristic, complemented
31C83×#2378C211yesmaximal, characteristic, complemented
32C22×#13050591C2211yescharacteristic
33C23×D332C2211yescharacteristic
34#19128342C4116yescomplemented
35C2×#14581781C2211yescharacteristic
36C2×#14581777C2211yescharacteristic
37C2×#14581777C2211yescharacteristic
38C2×#14581767C2211yescharacteristic
39C2×#14581767C2211yescharacteristic
40C2×#14581767C2211yescharacteristic
41C2×#14581762C2211yescharacteristic
42C2×#14581762C2211yescharacteristic
43C2×C4×D332C2211yescharacteristic, complemented
44C2×C4×D332C2211yescharacteristic, complemented
45C2×#14581754C2211yescharacteristic
46C2×#14581754C2211yescharacteristic
47C2×#14581754C2211yescharacteristic
48C2×#14581754C2211yescharacteristic, complemented
49C2×#14581754C2211yescharacteristic, complemented
50C2×C4×C22⋊D83C2211yescharacteristic
51C2×#14581750C2211yescharacteristic, complemented
52C2×#14581749C2211yescharacteristic, complemented
53C2×C4⋊C4×D83C2211yescharacteristic, complemented
54C2×C22⋊C4×D83C2211yescharacteristic
55C2×C22⋊C4×D83C2211yescharacteristic
56C2×C22⋊C4×D83C2211yescharacteristic
57C2×C22⋊C4×D83C2211yescharacteristic
58C2×C22⋊C4×D83C2211yescharacteristic
59C2×C22⋊C4×D83C2211yescharacteristic
60C2×C42×D83C2211yescharacteristic, complemented
61#19127608C2211yescharacteristic, complemented
62#19127608C2211yescharacteristic, complemented
63#19127603C2211yescharacteristic, complemented
64#19127603C2211yescharacteristic, complemented
65#19127602C2211yescharacteristic
66#19127602C2211yescharacteristic
67#19127602C2211yescharacteristic, complemented
68#19127602C2211yescharacteristic, complemented
69#19127601C2211yescharacteristic
70#19127601C2211yescharacteristic
71#19127596C2211yescharacteristic, complemented
72#19127596C2211yescharacteristic, complemented
73#19127595C2211yescharacteristic
74#19127595C2211yescharacteristic
75#19127594C2211yescharacteristic
76#19127594C2211yescharacteristic
77#19127594C2211yescharacteristic
78#19127594C2211yescharacteristic
79#19127593C2211yescharacteristic, complemented
80#19127593C2211yescharacteristic, complemented
81#19127593C2211yescharacteristic, complemented
82#19127593C2211yescharacteristic, complemented
83#19127592C2211yescharacteristic, complemented
84#19127592C2211yescharacteristic, complemented
85#19127592C2211yescharacteristic, complemented
86#19127592C2211yescharacteristic, complemented
87#19127591C2211yescharacteristic, complemented
88#19127591C2211yescharacteristic, complemented
89#19127591C2211yescharacteristic, complemented
90#19127591C2211yescharacteristic, complemented
91#19127591C2211yescharacteristic, complemented
92#19127591C2211yescharacteristic, complemented
93#19127590C2211yescharacteristic, complemented
94#19127590C2211yescharacteristic, complemented
95#19127590C2211yescharacteristic, complemented
96#19127590C2211yescharacteristic, complemented
97#19127589C2211yescharacteristic
98#19127589C2211yescharacteristic
99#19127587C2211yescharacteristic, complemented
100#19127587C2211yescharacteristic, complemented
101#19127587C2211yescharacteristic, complemented
102#19127587C2211yescharacteristic, complemented
103#19127583C2211yescharacteristic, complemented
104#19127583C2211yescharacteristic, complemented
105#19127579C2211yescharacteristic
106#19127579C2211yescharacteristic
107#19127579C2211yescharacteristic
108#19127579C2211yescharacteristic
109#19127579C2211yescharacteristic
110#19127579C2211yescharacteristic
111#19127579C2211yescharacteristic
112#19127579C2211yescharacteristic
113#19127579C2211yescharacteristic
114#19127579C2211yescharacteristic
115#19127579C2211yescharacteristic
116#19127579C2211yescharacteristic
117#19127579C2211yescharacteristic, complemented
118#19127579C2211yescharacteristic, complemented
119#19127579C2211yescharacteristic, complemented
120#19127579C2211yescharacteristic, complemented
121#19127579C2211yescharacteristic, complemented
122#19127579C2211yescharacteristic, complemented
123#19127579C2211yescharacteristic, complemented
124#19127579C2211yescharacteristic, complemented
125#19127577C2211yescharacteristic
126#19127577C2211yescharacteristic
127#19127575C2211yescharacteristic, complemented
128#19127575C2211yescharacteristic, complemented
129#19127575C2211yescharacteristic, complemented
130#19127575C2211yescharacteristic, complemented
131#19127572C2211yescharacteristic, complemented
132#19127572C2211yescharacteristic, complemented
133#19127572C2211yescharacteristic, complemented
134#19127572C2211yescharacteristic, complemented
135#19127568C2211yescharacteristic, complemented
136#19127564C2211yescharacteristic
137#19127563C2211yescharacteristic, complemented
138#19127563C2211yescharacteristic, complemented
139#19127563C2211yescharacteristic, complemented
140#19127560C2211yescharacteristic, complemented
141#19127560C2211yescharacteristic, complemented
142#19127560C2211yescharacteristic, complemented
143#19127560C2211yescharacteristic, complemented
144#19127558C2211yescharacteristic, complemented
145#19127558C2211yescharacteristic, complemented
146#19127556C2211yescharacteristic
147#19127556C2211yescharacteristic
148#19127556C2211yescharacteristic
149#19127556C2211yescharacteristic
150C4⋊C4×Dic83C2211yescharacteristic, complemented
151C4⋊C4×Dic83C2211yescharacteristic, complemented
152#19127552C2211yescharacteristic, complemented
153C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
154C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
155C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
159C4×C22⋊Dic83C2211yescharacteristic
160#19127548C2211yescharacteristic, complemented
161#19127548C2211yescharacteristic, complemented
162#19127548C2211yescharacteristic, complemented
163#19127548C2211yescharacteristic, complemented
164#19127548C2211yescharacteristic, complemented
165#19127548C2211yescharacteristic, complemented
166#19127548C2211yescharacteristic, complemented
167#19127548C2211yescharacteristic, complemented
168#19127546C2211yescharacteristic, complemented
169#19127546C2211yescharacteristic, complemented
170#95×D83C2211yescharacteristic, complemented
171#95×D83C2211yescharacteristic, complemented
172#95×D83C2211yescharacteristic, complemented
173C2×C22⋊Q8×C83C2211yescharacteristic
174#391×C83C2211yescharacteristic, complemented
175#391×C83C2211yescharacteristic, complemented
176#389×C83C2211yescharacteristic, complemented
177#389×C83C2211yescharacteristic, complemented
178#388×C83C2211yescharacteristic
179#388×C83C2211yescharacteristic
180#388×C83C2211yescharacteristic
181#388×C83C2211yescharacteristic
182#387×C83C2211yescharacteristic, complemented
183#387×C83C2211yescharacteristic, complemented
184#387×C83C2211yescharacteristic, complemented
185#387×C83C2211yescharacteristic, complemented
186#381×C83C2211yescharacteristic
187#380×C83C2211yescharacteristic
188C24×D83C2311yescharacteristic
189C24×D83C2311yescharacteristic
190C2×#13050591—42no—
191C2×#13050591—42no—
192C2×#13050591C2×C418yescomplemented
193C22×D332—42no—
194C22×D332—42no—
195C22×D332C2×C418yescomplemented
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×D332C2311yescharacteristic
200C22×D332C2311yescharacteristic
201C22×D332C2311yescharacteristic
202C22×D332C2311yescharacteristic
203C22×D332C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220#14581781C2×C418yescomplemented
221#14581777C2×C418yescomplemented
222#14581777C2×C418yescomplemented
223#14581767C2×C418yescomplemented
224#14581767C2×C418yescomplemented
225#14581767C2×C418yescomplemented
226#14581762C2×C418yescomplemented
227#14581762C2×C418yescomplemented
228C4×D332—42no—
229C4×D332—42no—
230#14581754—42no—
231#14581754—42no—
232#14581754—42no—
233#14581754—42no—
234#14581754C2×C418yescomplemented
235C4×C22⋊D83C2×C418yescomplemented
236#14581750—42no—
237#14581749—42no—
238C2×C4⋊Dic83C2311yescharacteristic
239C2×C4⋊Dic83C2311yescharacteristic
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C4⋊C4×D83—42no—
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×(C2×D83)⋊C4C2311yescharacteristic
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
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
294C22⋊C4×D83—42no—
295C22⋊C4×D83—42no—
296C22⋊C4×D83—42no—
297C22⋊C4×D83—42no—
298C22⋊C4×D83C2×C418yescomplemented
299C22⋊C4×D83C2×C418yescomplemented
300C2×C4×Dic83C2311yescharacteristic
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C2×C4×Dic83C2311yescharacteristic
305C2×C4×Dic83C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
308C2×C4×Dic83C2311yescharacteristic
309C2×C4×Dic83C2311yescharacteristic
310C2×C4×Dic83C2311yescharacteristic
311C2×C4×Dic83C2311yescharacteristic
312C2×C4×Dic83C2311yescharacteristic
313C42×D83—42no—
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C22×Q8×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C22⋊Q8×C83C2×C418yescomplemented
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C4⋊C4×C83C2311yescharacteristic
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C4⋊C4×C83C2311yescharacteristic
350C2×C4⋊C4×C83C2311yescharacteristic
351C2×C4⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C42×C83C2311yescharacteristic
359C2×C42×C83C2311yescharacteristic
360C2×C42×C83C2311yescharacteristic
361C2×C42×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369#95×C83C2311yescharacteristic
370#95×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375#95×C83C2311yescharacteristic
376C23×D83—22no—
377C23×D83—22no—
378C23×D83—41no—
379C23×D83—41no—
380C23×D83—41no—
381C23×D83—41no—
382C23×D83—41no—
383C23×D83—41no—
384C23×D83—41no—
385C23×D83—41no—
386C23×D83—41no—
387C23×D83—41no—
388C23×D83C22×C414yes—
389C23×D83C22×C414yes—
390C23×D83C2411yescharacteristic
391C23×D83C2411yescharacteristic
392C23×D83C2411yescharacteristic
393C23×D83C2411yescharacteristic
394C23×D83C2411yescharacteristic
395#13050591—416no—
396C2×D332—22no—
397C2×D332—22no—
398C2×D332—22no—
399C2×D332—22no—
400C2×D332—22no—
401C2×D332—22no—
402C2×D332—416no—
403C2×D332—41no—
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×D332—41no—
413C2×D332C22×C414yes—
414C2×D332C22×C414yes—
415C2×D332C22×C414yes—
416C2×D332C22×C414yes—
417C2×D332C22×C414yes—
418C2×D332C22×C414yes—
419C2×D332C22×C414yes—
420C2×D332C22×C414yes—
421C2×C22⋊D83—41no—
422C2×C22⋊D83—41no—
423C2×C22⋊D83C22×C414yes—
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C2×C4×D83—22no—
436C2×C4×D83—22no—
437C2×C4×D83—22no—
438C2×C4×D83—22no—
439C2×C4×D83—22no—
440C2×C4×D83—22no—
441C2×C4×D83—22no—
442C2×C4×D83—22no—
443C2×C4×D83—22no—
444C2×C4×D83—41no—
445C2×C4×D83—41no—
446C2×C4×D83—41no—
447C2×C4×D83—41no—
448C2×C4×D83—41no—
449C2×C4×D83—41no—
450C2×C4×D83—41no—
451C2×C4×D83—41no—
452C2×C4×D83—41no—
453C2×C4×D83—41no—
454C2×C4×D83—41no—
455C2×C4×D83—41no—
456C2×C4×D83—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83—41no—
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×D83C22×C414yes—
476C2×C4×D83C22×C414yes—
477C2×C4×D83C22×C414yes—
478C2×C4×D83C22×C414yes—
479C2×C4×D83C22×C414yes—
480C4⋊Dic83—22no—
481C4⋊Dic83—41no—
482C4⋊Dic83—41no—
483C4⋊Dic83—41no—
484Dic83⋊C4—41no—
485Dic83⋊C4—41no—
486Dic83⋊C4—41no—
487Dic83⋊C4—41no—
488Dic83⋊C4—41no—
489Dic83⋊C4—41no—
490Dic83⋊C4C22×C414yes—
491C22⋊Dic83—22no—
492C22⋊Dic83—41no—
493C22⋊Dic83—41no—
494C22⋊Dic83—41no—
495C22⋊Dic83C22×C414yes—
496(C2×D83)⋊C4—22no—
497(C2×D83)⋊C4—22no—
498(C2×D83)⋊C4—22no—
499(C2×D83)⋊C4—22no—
500(C2×D83)⋊C4—22no—
501(C2×D83)⋊C4—22no—
502(C2×D83)⋊C4—41no—
503(C2×D83)⋊C4—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊C4—41no—
509(C2×D83)⋊C4—41no—
510(C2×D83)⋊C4—41no—
511(C2×D83)⋊C4—41no—
512(C2×D83)⋊C4—41no—
513(C2×D83)⋊C4—41no—
514(C2×D83)⋊C4—41no—
515(C2×D83)⋊C4—41no—
516(C2×D83)⋊C4—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4—41no—
521(C2×D83)⋊C4—41no—
522(C2×D83)⋊C4—41no—
523(C2×D83)⋊C4—41no—
524(C2×D83)⋊C4—41no—
525(C2×D83)⋊C4—41no—
526(C2×D83)⋊C4C22×C414yes—
527(C2×D83)⋊C4C22×C414yes—
528(C2×D83)⋊C4C22×C414yes—
529(C2×D83)⋊C4C22×C414yes—
530(C2×D83)⋊C4C22×C414yes—
531(C2×D83)⋊C4C22×C414yes—
532(C2×D83)⋊C4C22×C414yes—
533(C2×D83)⋊C4C22×C414yes—
534(C2×D83)⋊C4C22×C414yes—
535C4×Dic83—22no—
536C4×Dic83—22no—
537C4×Dic83—41no—
538C4×Dic83—41no—
539C4×Dic83—41no—
540C4×Dic83—41no—
541C4×Dic83—41no—
542C4×Dic83—41no—
543C4×Dic83—41no—
544C4×Dic83—41no—
545C4×Dic83—41no—
546C4×Dic83—41no—
547C4×Dic83C22×C414yes—
548C24×C83C2411yescharacteristic
549C2×Q8×C83—41no—
550C2×Q8×C83—41no—
551C2×Q8×C83C22×C414yes—
552C22×C4×C83—41no—
553C22×C4×C83—41no—
554C22×C4×C83C22×C414yes—
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22×C4×C83C2411yescharacteristic
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564C22×C4×C83C2411yescharacteristic
565C22×C4×C83C2411yescharacteristic
566C22×C4×C83C2411yescharacteristic
567C22×C4×C83C2411yescharacteristic
568C22×C4×C83C2411yescharacteristic
569C4⋊C4×C83—41no—
570C4⋊C4×C83—41no—
571C4⋊C4×C83—41no—
572C4⋊C4×C83—41no—
573C4⋊C4×C83—41no—
574C4⋊C4×C83—41no—
575C4⋊C4×C83C22×C414yes—
576C4⋊C4×C83C22×C414yes—
577C4⋊C4×C83C22×C414yes—
578C22⋊C4×C83—41no—
579C22⋊C4×C83—41no—
580C22⋊C4×C83—41no—
581C22⋊C4×C83—41no—
582C22⋊C4×C83C22×C414yes—
583C22⋊C4×C83C22×C414yes—
584C42×C83—41no—
585C42×C83—41no—
586C42×C83—41no—
587C42×C83—41no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83C23×C412yes—
595C23×C83C2511yescharacteristic
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—21no—
599C22×D83—21no—
600C22×D83—21no—
601C22×D83—21no—
602C22×D83—21no—
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
606C22×D83—21no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—21no—
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—21no—
623C22×D83—21no—
624C22×D83—28no—
625C22×D83—44no—
626C22×D83—44no—
627C22×D83—44no—
628C22×D83—44no—
629C22×D83—44no—
630C22×D83—82no—
631C22×D83—82no—
632C22×D83—82no—
633C22×D83—82no—
634C22×D83—82no—
635C22×D83—82no—
636C22×D83—82no—
637C22×D83—82no—
638C22×D83C23×C412yes—
639C22×D83C23×C412yes—
640C22×D83C23×C412yes—
641C22×D83C23×C412yes—
642C22×D83C23×C412yes—
643C22×D83H(5,𝔽2)12yes—
644C22×D83H(5,𝔽2)12yes—
645Q8×C83—44no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
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—44no—
683C2×C4×C83C23×C412yes—
684C2×C4×C83C23×C412yes—
685C2×C4×C83C23×C412yes—
686C2×C4×C83C23×C412yes—
687C2×C4×C83C23×C412yes—
688C2×C4×C83C23×C412yes—
689C22⋊D83—44no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
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×Dic83C23×C412yes—
720C2×Dic83C23×C412yes—
721C2×Dic83C23×C412yes—
722C2×Dic83H(5,𝔽2)12yes—
723D332—28no—
724D332—28no—
725D332—28no—
726D332—44no—
727D332—44no—
728D332—44no—
729D332—44no—
730D332—44no—
731C4×D83—28no—
732C4×D83—44no—
733C4×D83—44no—
734C4×D83—44no—
735C4×D83—44no—
736C4×D83—44no—
737C4×D83—44no—
738C4×D83—82no—
739C4×D83—82no—
740C4×D83—82no—
741C4×D83—82no—
742C4×D83—82no—
743C4×D83—82no—
744C4×D83—82no—
745C4×D83—82no—
746C22×C83—22no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—41no—
750C22×C83—41no—
751C22×C83—41no—
752C22×C83—41no—
753C22×C83C24×C411yescharacteristic
754C22×C83C2×H(5,𝔽2)11yescharacteristic
755C22×C83C2×H(5,𝔽2)11yescharacteristic
756C22×C83C2×H(5,𝔽2)11yescharacteristic
757C22×C83#58511yescharacteristic
758C22×C83#58511yescharacteristic
759C22×C83#58511yescharacteristic
760C2×D83—22no—
761C2×D83—22no—
762C2×D83—22no—
763C2×D83—22no—
764C2×D83—22no—
765C2×D83—22no—
766C2×D83—22no—
767C2×D83—22no—
768C2×D83—22no—
769C2×D83—22no—
770C2×D83—22no—
771C2×D83—22no—
772C2×D83—22no—
773C2×D83—22no—
774C2×D83—22no—
775C2×D83—22no—
776C2×D83—22no—
777C2×D83—22no—
778C2×D83—41no—
779C2×D83—41no—
780C2×D83—41no—
781C2×D83—41no—
782C2×D83—41no—
783C2×D83—41no—
784C2×D83—41no—
785C2×D83—41no—
786C2×D83—41no—
787C2×D83—41no—
788C2×D83—41no—
789C2×D83—41no—
790C2×D83—41no—
791C2×D83—41no—
792C2×D83—41no—
793C2×D83—41no—
794C2×D83—88no—
795C2×D83—88no—
796C2×D83#51814yes—
797C4×C83—22no—
798C4×C83—22no—
799C4×C83—22no—
800C4×C83—22no—
801C4×C83—22no—
802C4×C83—22no—
803C4×C83—41no—
804C4×C83—41no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808C4×C83—41no—
809C4×C83—41no—
810C4×C83—41no—
811Dic83—22no—
812Dic83—22no—
813Dic83—22no—
814Dic83—22no—
815Dic83—41no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822#34492—831nomaximal, Sylow
823C2×C83—42no—
824C2×C83C2×#51811yescharacteristic
825C2×C83#342811yescharacteristic
826C2×C83C4×H(5,𝔽2)11yescharacteristic
827C2×C83#353411yescharacteristic
828C2×C83#354211yescharacteristic
829C2×C83#354511yescharacteristic
830C2×C83#356011yescharacteristic
831D83—24no—
832D83—42no—
833D83—42no—
834D83—42no—
835D83—42no—
836C2×#546—831no—
837#2378D8311yescharacteristic, complemented
838#2377—831no—
839#2376—831no—
840#2375—831no—
841#2372—831no—
842#2364—831no—
843#2363—831no—
844#2359—831no—
845#2358—831no—
846#2353—831no—
847#2353—831no—
848#2342—831no—
849#2342—831no—
850#2339—831no—
851D4×C22⋊C4—831no—
852#2337—831no—
853#2335—831no—
854#2333—831no—
855#2332—831no—
856#2325—831no—
857#2322—831no—
858#2321—831no—
859#2321—831no—
860#2319—831no—
861#2312—831no—
862#2311—831no—
863#2308—831no—
864C4×#121—831no—
865#2290—831no—
866C2×#388—831no—
867C83#3449211yescharacteristic, complemented, Sylow
868C22×#41—831no—
869C23×D4—831no—
870#546—8316no—
871C2×#124—831no—
872C2×#123—831no—
873C2×#123—831no—
874C2×C22⋊Q8C2×D8311yescharacteristic
875C2×#121—831no—
876C2×#121—831no—
877C2×#121—831no—
878C2×#120—831no—
879C2×#120—831no—
880C2×C4×D4—831no—
881C2×C4×D4—831no—
882C2×C4×D4—831no—
883C2×C4×D4—831no—
884C2×C4×D4—831no—
885C2×C4×D4—831no—
886C2×C4×D4—831no—
887C2×C4×D4—831no—
888C2×#117—831no—
889C2×#117—831no—
890C22×C4⋊C4—831no—
891C22×C22⋊C4—831no—
892C22×C22⋊C4—831no—
893C22×C22⋊C4—831no—
894C22×C22⋊C4—831no—
895C22×C22⋊C4—831no—
896C22×C22⋊C4—831no—
897C22×C42—831no—
898#391—831no—
899#391—831no—
900#391C2×D8311yescharacteristic, complemented
901#391C2×D8311yescharacteristic, complemented
902#390—831no—
903#390—831no—
904#390—831no—
905#390—831no—
906#390—831no—
907#390—831no—
908#390—831no—
909#390—831no—
910#389—831no—
911#389—831no—
912#389C2×D8311yescharacteristic, complemented
913#389C2×D8311yescharacteristic, complemented
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388—831no—
930#388—831no—
931#388—831no—
932#388—831no—
933#388—831no—
934#388—831no—
935#388—831no—
936#388—831no—
937#388—831no—
938#388—831no—
939#388—831no—
940#388C2×D8311yescharacteristic
941#388C2×D8311yescharacteristic
942#388C2×D8311yescharacteristic
943#388C2×D8311yescharacteristic
944#387—831no—
945#387—831no—
946#387—831no—
947#387—831no—
948#387—831no—
949#387—831no—
950#387C2×D8311yescharacteristic, complemented
951#387C2×D8311yescharacteristic, complemented
952#387C2×D8311yescharacteristic, complemented
953#387C2×D8311yescharacteristic, complemented
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#386—831no—
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#385—831no—
977#385—831no—
978#385—831no—
979#385—831no—
980#385—831no—
981#385—831no—
982#385—831no—
983#385—831no—
984#383—831no—
985#381—831no—
986#381—831no—
987#381—831no—
988#381—831no—
989#381C2×D8311yescharacteristic
990#380—831no—
991#380—831no—
992#380—831no—
993#380—831no—
994#380—831no—
995#380—831no—
996#380C2×D8311yescharacteristic
997#379—831no—
998#379—831no—
999#379—831no—
1000#379—831no—
1001C4×C4⋊C4—831no—
1002C4×C4⋊C4—831no—
1003C4×C4⋊C4—831no—
1004C4×C22⋊C4—831no—
1005C4×C22⋊C4—831no—
1006C4×C22⋊C4—831no—
1007C4×C22⋊C4—831no—
1008C4×C22⋊C4—831no—
1009C4×C22⋊C4—831no—
1010C4×C22⋊C4—831no—
1011C4×C22⋊C4—831no—
1012C4×C22⋊C4—831no—
1013C4×C22⋊C4—831no—
1014C4×C22⋊C4—831no—
1015C4×C22⋊C4—831no—
1016C4×C22⋊C4—831no—
1017C4×C22⋊C4—831no—
1018C4×C22⋊C4—831no—
1019#376—831no—
1020#376—831no—
1021C2×#95—831no—
1022C2×#95—831no—
1023C2×#95—831no—
1024C25—831no—
1025C25—831no—
1026C2×#41—3322no—
1027C2×#41—3322no—
1028C2×#41—838no—
1029C22×Q8C22×D8311yescharacteristic
1030C22×D4—3322no—
1031C22×D4—3322no—
1032C22×D4—831no—
1033C22×D4—838no—
1034C22×D4—831no—
1035C22×D4—831no—
1036C22×D4—831no—
1037C22×D4—831no—
1038C22×D4—831no—
1039C22×D4—831no—
1040C22×D4—831no—
1041C22×D4—831no—
1042C23×C4—831no—
1043C23×C4—831no—
1044C23×C4—831no—
1045C23×C4—831no—
1046C23×C4—831no—
1047C23×C4—831no—
1048C23×C4—831no—
1049C23×C4—831no—
1050C23×C4—831no—
1051C23×C4—831no—
1052C23×C4—831no—
1053C23×C4—831no—
1054C23×C4—831no—
1055C23×C4—831no—
1056C23×C4—831no—
1057C23×C4C22×D8311yescharacteristic
1058#124—838no—
1059#123—838no—
1060#123—838no—
1061C22⋊Q8C4×D8318yescomplemented
1062#121—838no—
1063#121—838no—
1064#121—838no—
1065#120—838no—
1066#120—838no—
1067C4×D4—3322no—
1068C4×D4—3322no—
1069C4×D4—3322no—
1070C4×D4—3322no—
1071C4×D4—3322no—
1072C4×D4—3322no—
1073C4×D4—838no—
1074C4×D4—838no—
1075#117—3322no—
1076#117—3322no—
1077C2×C4⋊C4—3322no—
1078C2×C4⋊C4—831no—
1079C2×C4⋊C4—831no—
1080C2×C4⋊C4—831no—
1081C2×C4⋊C4—831no—
1082C2×C4⋊C4—831no—
1083C2×C4⋊C4—831no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4—831no—
1089C2×C4⋊C4C22×D8311yescharacteristic
1090C2×C4⋊C4C22×D8311yescharacteristic
1091C2×C4⋊C4C22×D8311yescharacteristic
1092C2×C4⋊C4C22×D8311yescharacteristic
1093C2×C4⋊C4C22×D8311yescharacteristic
1094C2×C4⋊C4C22×D8311yescharacteristic
1095C2×C4⋊C4C22×D8311yescharacteristic
1096C2×C4⋊C4C22×D8311yescharacteristic
1097C2×C4⋊C4C22×D8311yescharacteristic
1098C2×C22⋊C4—3322no—
1099C2×C22⋊C4—3322no—
1100C2×C22⋊C4—3322no—
1101C2×C22⋊C4—3322no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—831no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4—831no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—831no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4—831no—
1138C2×C22⋊C4—831no—
1139C2×C22⋊C4—838no—
1140C2×C22⋊C4—838no—
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⋊C4C22×D8311yescharacteristic
1149C2×C22⋊C4C22×D8311yescharacteristic
1150C2×C22⋊C4C22×D8311yescharacteristic
1151C2×C22⋊C4C22×D8311yescharacteristic
1152C2×C22⋊C4C22×D8311yescharacteristic
1153C2×C22⋊C4C22×D8311yescharacteristic
1154C2×C42—3322no—
1155C2×C42—831no—
1156C2×C42—831no—
1157C2×C42—831no—
1158C2×C42—831no—
1159C2×C42—831no—
1160C2×C42—831no—
1161C2×C42—831no—
1162C2×C42—831no—
1163C2×C42—831no—
1164C2×C42—831no—
1165C2×C42—831no—
1166C2×C42—831no—
1167C2×C42—831no—
1168C2×C42C22×D8311yescharacteristic
1169C2×C42C22×D8311yescharacteristic
1170C2×C42C22×D8311yescharacteristic
1171C2×C42C22×D8311yescharacteristic
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#95C22×D8311yescharacteristic
1199#95C22×D8311yescharacteristic
1200#95C22×D8311yescharacteristic
1201#95C22×D8311yescharacteristic
1202#95C22×D8311yescharacteristic
1203#95C22×D8311yescharacteristic
1204#95C22×D8311yescharacteristic
1205#95C22×D8311yescharacteristic
1206#95C22×D8311yescharacteristic
1207#95C22×D8311yescharacteristic
1208#95C22×D8311yescharacteristic
1209#95C22×D8311yescharacteristic
1210#95C22×D8311yescharacteristic
1211#95C22×D8311yescharacteristic
1212C24—3321no—
1213C24—3321no—
1214C24—3321no—
1215C24—3321no—
1216C24—3321no—
1217C24—3321no—
1218C24—3321no—
1219C24—3321no—
1220C24—3321no—
1221C24—3321no—
1222C24—834no—
1223C24—834no—
1224C24—831no—
1225C24—831no—
1226C24—831no—
1227C24—831no—
1228C24—831no—
1229C24—1662no—
1230C24—1662no—
1231C24C23×D8311yescharacteristic
1232#41—33216no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8C2×C4×D8314yes—
1236C2×D4—3321no—
1237C2×D4—3321no—
1238C2×D4—3321no—
1239C2×D4—3321no—
1240C2×D4—3321no—
1241C2×D4—3321no—
1242C2×D4—3321no—
1243C2×D4—3321no—
1244C2×D4—3321no—
1245C2×D4—3321no—
1246C2×D4—33216no—
1247C2×D4—3321no—
1248C2×D4—3321no—
1249C2×D4—834no—
1250C2×D4—834no—
1251C2×D4—834no—
1252C2×D4—834no—
1253C2×D4—834no—
1254C2×D4—834no—
1255C2×D4—834no—
1256C2×D4—834no—
1257C2×D4—834no—
1258C2×D4—1662no—
1259C2×D4—1662no—
1260C2×D4—1662no—
1261C2×D4—1662no—
1262C2×D4—1662no—
1263C2×D4—1662no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—3321no—
1267C22×C4—3321no—
1268C22×C4—3321no—
1269C22×C4—3321no—
1270C22×C4—3321no—
1271C22×C4—3321no—
1272C22×C4—3321no—
1273C22×C4—3321no—
1274C22×C4—3321no—
1275C22×C4—3321no—
1276C22×C4—3321no—
1277C22×C4—3321no—
1278C22×C4—3321no—
1279C22×C4—3321no—
1280C22×C4—3321no—
1281C22×C4—3321no—
1282C22×C4—3321no—
1283C22×C4—3321no—
1284C22×C4—3321no—
1285C22×C4—3321no—
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—834no—
1298C22×C4—834no—
1299C22×C4—834no—
1300C22×C4—834no—
1301C22×C4—831no—
1302C22×C4—831no—
1303C22×C4—831no—
1304C22×C4—831no—
1305C22×C4—834no—
1306C22×C4—831no—
1307C22×C4—831no—
1308C22×C4—831no—
1309C22×C4—831no—
1310C22×C4—831no—
1311C22×C4—831no—
1312C22×C4—831no—
1313C22×C4—1662no—
1314C22×C4—1662no—
1315C22×C4—1662no—
1316C22×C4—1662no—
1317C22×C4—1662no—
1318C22×C4—1662no—
1319C22×C4—1662no—
1320C22×C4—1662no—
1321C22×C4—1662no—
1322C22×C4C2×C4×D8314yes—
1323C22×C4C23×D8311yescharacteristic
1324C22×C4C23×D8311yescharacteristic
1325C22×C4C23×D8311yescharacteristic
1326C22×C4C23×D8311yescharacteristic
1327C22×C4C23×D8311yescharacteristic
1328C22×C4C23×D8311yescharacteristic
1329C22×C4C23×D8311yescharacteristic
1330C22×C4C23×D8311yescharacteristic
1331C22×C4C23×D8311yescharacteristic
1332C22×C4C23×D8311yescharacteristic
1333C22×C4C23×D8311yescharacteristic
1334C22×C4C23×D8311yescharacteristic
1335C22×C4C23×D8311yescharacteristic
1336C22×C4C23×D8311yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—3321no—
1344C4⋊C4—3321no—
1345C4⋊C4—3321no—
1346C4⋊C4—3321no—
1347C4⋊C4—3321no—
1348C4⋊C4—3321no—
1349C4⋊C4—3321no—
1350C4⋊C4—3321no—
1351C4⋊C4—3321no—
1352C4⋊C4—834no—
1353C4⋊C4—1662no—
1354C4⋊C4C2×C4×D8314yes—
1355C4⋊C4C2×C4×D8314yes—
1356C4⋊C4C2×C4×D8314yes—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—3321no—
1362C22⋊C4—3321no—
1363C22⋊C4—3321no—
1364C22⋊C4—3321no—
1365C22⋊C4—3321no—
1366C22⋊C4—3321no—
1367C22⋊C4—3321no—
1368C22⋊C4—3321no—
1369C22⋊C4—3321no—
1370C22⋊C4—3321no—
1371C22⋊C4—3321no—
1372C22⋊C4—3321no—
1373C22⋊C4—3321no—
1374C22⋊C4—3321no—
1375C22⋊C4—3321no—
1376C22⋊C4—3321no—
1377C22⋊C4—3321no—
1378C22⋊C4—3321no—
1379C22⋊C4—3321no—
1380C22⋊C4—3321no—
1381C22⋊C4—3321no—
1382C22⋊C4—3321no—
1383C22⋊C4—3321no—
1384C22⋊C4—3321no—
1385C22⋊C4—3321no—
1386C22⋊C4—3321no—
1387C22⋊C4—3321no—
1388C22⋊C4—834no—
1389C22⋊C4—834no—
1390C22⋊C4—834no—
1391C22⋊C4—834no—
1392C22⋊C4—834no—
1393C22⋊C4—834no—
1394C22⋊C4—834no—
1395C22⋊C4—834no—
1396C22⋊C4—834no—
1397C22⋊C4—834no—
1398C22⋊C4—1662no—
1399C22⋊C4—1662no—
1400C22⋊C4—1662no—
1401C22⋊C4—1662no—
1402C22⋊C4—1662no—
1403C22⋊C4—1662no—
1404C22⋊C4—1662no—
1405C22⋊C4C2×C4×D8314yes—
1406C22⋊C4C2×C4×D8314yes—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—3321no—
1412C42—3321no—
1413C42—3321no—
1414C42—3321no—
1415C42—3321no—
1416C42—3321no—
1417C42—3321no—
1418C42—3321no—
1419C42—3321no—
1420C42—3321no—
1421C42—834no—
1422C42—1662no—
1423C42—1662no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—3324no—
1431C23—3324no—
1432C23—3324no—
1433C23—3324no—
1434C23—3324no—
1435C23—832no—
1436C23—832no—
1437C23—832no—
1438C23—832no—
1439C23—832no—
1440C23—832no—
1441C23—832no—
1442C23—6642no—
1443C23—6642no—
1444C23—6642no—
1445C23—6642no—
1446C23—6642no—
1447C23—6642no—
1448C23—6642no—
1449C23—6642no—
1450C23—1668no—
1451C23—1661no—
1452C23—1661no—
1453C23—1661no—
1454C23—1661no—
1455C23—1661no—
1456C23—1661no—
1457C23—1661no—
1458C23—1661no—
1459C23—1661no—
1460C23—1661no—
1461C23—1661no—
1462C23—1661no—
1463C23—1661no—
1464C23—1661no—
1465C23—1661no—
1466C23—1661no—
1467C23—1661no—
1468C23—1661no—
1469C23—1661no—
1470C23—1661no—
1471C23—1661no—
1472C23—1661no—
1473C23—1661no—
1474C23—1661no—
1475C23—1661no—
1476C23—1661no—
1477C23—1661no—
1478C23—1661no—
1479C23C22×C4×D8312yes—
1480C23C24×D8311yescharacteristic
1481Q8—44no—
1482D4—3324no—
1483D4—3324no—
1484D4—3324no—
1485D4—3324no—
1486D4—3324no—
1487D4—3324no—
1488D4—1668no—
1489D4—1668no—
1490D4—1668no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—44no—
1528C2×C4—3324no—
1529C2×C4—3324no—
1530C2×C4—3324no—
1531C2×C4—3324no—
1532C2×C4—3324no—
1533C2×C4—3324no—
1534C2×C4—832no—
1535C2×C4—832no—
1536C2×C4—832no—
1537C2×C4—832no—
1538C2×C4—6642no—
1539C2×C4—6642no—
1540C2×C4—6642no—
1541C2×C4—6642no—
1542C2×C4—6642no—
1543C2×C4—6642no—
1544C2×C4—6642no—
1545C2×C4—6642no—
1546C2×C4—1668no—
1547C2×C4—1661no—
1548C2×C4—1661no—
1549C2×C4—1661no—
1550C2×C4—1661no—
1551C2×C4—1661no—
1552C2×C4—1661no—
1553C2×C4—1661no—
1554C2×C4—1661no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4—1661no—
1562C2×C4—1661no—
1563C2×C4—1661no—
1564C2×C4—1661no—
1565C2×C4—1661no—
1566C2×C4—1661no—
1567C2×C4—1661no—
1568C2×C4—1661no—
1569C2×C4—1661no—
1570C2×C4—1661no—
1571C2×C4—1661no—
1572C2×C4—1661no—
1573C2×C4—1661no—
1574C2×C4—1661no—
1575C2×C4—1661no—
1576C2×C4C22×C4×D8312yes—
1577C2×C4C22×C4×D8312yes—
1578C2×C4C22×C4×D8312yes—
1579C2×C4C22×C4×D8312yes—
1580C2×C4C22×C4×D8312yes—
1581C2×C4C22×C4×D8312yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—3321no—
1590C22—3321no—
1591C22—3321no—
1592C22—3321no—
1593C22—3321no—
1594C22—3321no—
1595C22—3321no—
1596C22—3321no—
1597C22—3321no—
1598C22—3321no—
1599C22—3321no—
1600C22—3321no—
1601C22—3321no—
1602C22—3321no—
1603C22—3321no—
1604C22—3321no—
1605C22—834no—
1606C22—6648no—
1607C22—6648no—
1608C22—1662no—
1609C22—1662no—
1610C22—1662no—
1611C22—1662no—
1612C22—1662no—
1613C22—1662no—
1614C22—1662no—
1615C22—1662no—
1616C22—1662no—
1617C22—1662no—
1618C22—1662no—
1619C22—1662no—
1620C22—1662no—
1621C22—1662no—
1622C22—1662no—
1623C22—1662no—
1624C22—1662no—
1625C22—1662no—
1626C22C23×C4×D8311yescharacteristic
1627C22H(5,𝔽2)×D8311yescharacteristic
1628C22H(5,𝔽2)×D8311yescharacteristic
1629C22H(5,𝔽2)×D8311yescharacteristic
1630C22#1912853811yescharacteristic
1631C22#1912853811yescharacteristic
1632C22#1912853811yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—3321no—
1648C4—3321no—
1649C4—3321no—
1650C4—3321no—
1651C4—3321no—
1652C4—3321no—
1653C4—3321no—
1654C4—1662no—
1655C4—1662no—
1656C4—1662no—
1657C4—1662no—
1658C2—42no—
1659C2—3322no—
1660C2—3322no—
1661C2—3322no—
1662C2—3322no—
1663C2—1664no—
1664C2#518×D8311yescharacteristic
1665C2#2492066511yescharacteristic
1666C2#2492066911yescharacteristic
1667C2#2492165511yescharacteristic
1668C2#2492177611yescharacteristic
1669C2#2492182111yescharacteristic
1670C2#2492200611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2378C2
socle, cosocleC23×C83C25
prime radicalC2×#19128342C2
hypercenter#2378D83
hypocenterC83#34492
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2378

Complements

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

NH ≅ G/Ntype
2. #24910618C2semidirect
3. #24910608C2semidirect
4. #24910603C2semidirect
5. #24910574C2semidirect
6. #24910509C2semidirect
7. #24910500C2semidirect
8. #24910448C2semidirect
9. #24910441C2semidirect
10. #24910402C2semidirect
11. #24910400C2semidirect
12. #24910311C2semidirect
13. #24910307C2semidirect
14. #24910292C2semidirect
15. #24910283C2semidirect
16. #24910275C2semidirect
17. #24910259C2semidirect
18. #24910227C2semidirect
19. #24910221C2semidirect
20. #24910162C2semidirect
21. #24910127C2semidirect
22. #24910125C2semidirect
23. #24910116C2semidirect
24. #24910105C2semidirect
25. #24910057C2semidirect
26. #24910054C2semidirect
27. #24910040C2semidirect
28. #24909971C2semidirect
29. #24909901C2semidirect
30. #388×D83C2semidirect
31. C83×#2378C2semidirect
34. #19128342C4semidirect
43. C2×C4×D332C22semidirect
44. C2×C4×D332C22semidirect
48. C2×#14581754C22semidirect
49. C2×#14581754C22semidirect
51. C2×#14581750C22semidirect
52. C2×#14581749C22semidirect
53. C2×C4⋊C4×D83C22semidirect
60. C2×C42×D83C22semidirect
61. #19127608C22semidirect
62. #19127608C22semidirect
63. #19127603C22semidirect
64. #19127603C22semidirect
67. #19127602C22semidirect
68. #19127602C22semidirect
71. #19127596C22semidirect
72. #19127596C22semidirect
79. #19127593C22semidirect
80. #19127593C22semidirect
81. #19127593C22semidirect
82. #19127593C22semidirect
83. #19127592C22semidirect
84. #19127592C22semidirect
85. #19127592C22semidirect
86. #19127592C22semidirect
87. #19127591C22semidirect
88. #19127591C22semidirect
89. #19127591C22semidirect
90. #19127591C22semidirect
91. #19127591C22semidirect
92. #19127591C22semidirect
93. #19127590C22semidirect
94. #19127590C22semidirect
95. #19127590C22semidirect
96. #19127590C22semidirect
99. #19127587C22semidirect
100. #19127587C22semidirect
101. #19127587C22semidirect
102. #19127587C22semidirect
103. #19127583C22semidirect
104. #19127583C22semidirect
117. #19127579C22semidirect
118. #19127579C22semidirect
119. #19127579C22semidirect
120. #19127579C22semidirect
121. #19127579C22semidirect
122. #19127579C22semidirect
123. #19127579C22semidirect
124. #19127579C22semidirect
127. #19127575C22semidirect
128. #19127575C22semidirect
129. #19127575C22semidirect
130. #19127575C22semidirect
131. #19127572C22semidirect
132. #19127572C22semidirect
133. #19127572C22semidirect
134. #19127572C22semidirect
135. #19127568C22semidirect
137. #19127563C22semidirect
138. #19127563C22semidirect
139. #19127563C22semidirect
140. #19127560C22semidirect
141. #19127560C22semidirect
142. #19127560C22semidirect
143. #19127560C22semidirect
144. #19127558C22semidirect
145. #19127558C22semidirect
150. C4⋊C4×Dic83C22semidirect
151. C4⋊C4×Dic83C22semidirect
152. #19127552C22semidirect
153. C4×(C2×D83)⋊C4C22semidirect
154. C4×(C2×D83)⋊C4C22semidirect
155. C4×(C2×D83)⋊C4C22semidirect
156. C4×(C2×D83)⋊C4C22semidirect
157. C4×(C2×D83)⋊C4C22semidirect
158. C4×(C2×D83)⋊C4C22semidirect
160. #19127548C22semidirect
161. #19127548C22semidirect
162. #19127548C22semidirect
163. #19127548C22semidirect
164. #19127548C22semidirect
165. #19127548C22semidirect
166. #19127548C22semidirect
167. #19127548C22semidirect
168. #19127546C22semidirect
169. #19127546C22semidirect
170. #95×D83C22semidirect
171. #95×D83C22semidirect
172. #95×D83C22semidirect
174. #391×C83C22semidirect
175. #391×C83C22semidirect
176. #389×C83C22semidirect
177. #389×C83C22semidirect
182. #387×C83C22semidirect
183. #387×C83C22semidirect
184. #387×C83C22semidirect
185. #387×C83C22semidirect
192. C2×#13050591C2×C4semidirect
195. C22×D332C2×C4semidirect
220. #14581781C2×C4semidirect
221. #14581777C2×C4semidirect
222. #14581777C2×C4semidirect
223. #14581767C2×C4semidirect
224. #14581767C2×C4semidirect
225. #14581767C2×C4semidirect
226. #14581762C2×C4semidirect
227. #14581762C2×C4semidirect
234. #14581754C2×C4semidirect
235. C4×C22⋊D83C2×C4semidirect
298. C22⋊C4×D83C2×C4semidirect
299. C22⋊C4×D83C2×C4semidirect
342. C22⋊Q8×C83C2×C4semidirect
837. #2378D83semidirect
867. C83#34492semidirect
900. #391C2×D83semidirect
901. #391C2×D83semidirect
912. #389C2×D83semidirect
913. #389C2×D83semidirect
950. #387C2×D83semidirect
951. #387C2×D83semidirect
952. #387C2×D83semidirect
953. #387C2×D83semidirect
1061. C22⋊Q8C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283422
#249106182
#249106082
#249106032
#249105742
#249105092
#249105002
#249104482
#249104412
#249104022
#249104002
#249103112
#249103072
#249102922
#249102832
#249102752
#249102592
#249102272
#249102212
#249101622
#249101272
#249101252
#249101162
#249101052
#249100572
#249100542
#249100402
#249099712
#249099012
#388×D832
C83×#23782
#3449283