Finite Group Databasebeta

← #35568956

Subgroups — #35568956

Order 21248.

2500 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128375C211yesmaximal, characteristic
2#24910656C211yesmaximal, characteristic, complemented
3#24910654C211yesmaximal, characteristic, complemented
4#24910634C211yesmaximal, characteristic, complemented
5#24910608C211yesmaximal, characteristic, complemented
6#24910465C211yesmaximal, characteristic, complemented
7#24910463C211yesmaximal, characteristic, complemented
8#24910455C211yesmaximal, characteristic, complemented
9#24910450C211yesmaximal, characteristic, complemented
10#24910439C211yesmaximal, characteristic
11#24910363C211yesmaximal, characteristic, complemented
12#24910361C211yesmaximal, characteristic, complemented
13#24910323C211yesmaximal, characteristic, complemented
14#24910316C211yesmaximal, characteristic, complemented
15#24910313C211yesmaximal, characteristic, complemented
16#24910310C211yesmaximal, characteristic, complemented
17#24910237C211yesmaximal, characteristic, complemented
18#24910234C211yesmaximal, characteristic, complemented
19#24910197C211yesmaximal, characteristic, complemented
20#24910194C211yesmaximal, characteristic, complemented
21#24910171C211yesmaximal, characteristic, complemented
22#24910132C211yesmaximal, characteristic, complemented
23#24910127C211yesmaximal, characteristic, complemented
24#24910127C211yesmaximal, characteristic, complemented
25#24910099C211yesmaximal, characteristic, complemented
26#24910091C211yesmaximal, characteristic, complemented
27#24910084C211yesmaximal, characteristic, complemented
28#24909964C211yesmaximal, characteristic
29C2×#19127572C211yesmaximal, characteristic, complemented
30#385×D83C211yesmaximal, characteristic, complemented
31C83×#2317C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33#19128375C4116yescomplemented
34C2×#14581787C2211yescharacteristic
35C2×#14581786C2211yescharacteristic
36C2×#14581780C2211yescharacteristic
37C2×#14581777C2211yescharacteristic
38C2×#14581777C2211yescharacteristic
39C2×#14581775C2211yescharacteristic
40C2×#14581770C2211yescharacteristic
41C2×#14581769C2211yescharacteristic
42C2×#14581762C2211yescharacteristic
43C2×#14581757C2211yescharacteristic, complemented
44C2×C4×D332C2211yescharacteristic
45C2×#14581754C2211yescharacteristic
46C2×#14581754C2211yescharacteristic
47C2×#14581754C2211yescharacteristic
48C2×C4×C22⋊D83C2211yescharacteristic
49C2×(C22⋊D83)⋊C4C2211yescharacteristic
50C2×(C22⋊D83)⋊C4C2211yescharacteristic
51C2×#14581750C2211yescharacteristic
52C2×#14581749C2211yescharacteristic
53C22×Dic83⋊C4C2211yescharacteristic
54C2×C4⋊C4×D83C2211yescharacteristic
55C2×C4⋊C4×D83C2211yescharacteristic
56C2×C4⋊C4×D83C2211yescharacteristic, complemented
57C22×(C2×D83)⋊C4C2211yescharacteristic
58C22×(C2×D83)⋊C4C2211yescharacteristic
59C2×C22⋊C4×D83C2211yescharacteristic
60C2×C22⋊C4×D83C2211yescharacteristic
61#19127606C2211yescharacteristic, complemented
62#19127605C2211yescharacteristic, complemented
63#19127605C2211yescharacteristic, complemented
64#19127602C2211yescharacteristic
65#19127598C2211yescharacteristic, complemented
66#19127597C2211yescharacteristic, complemented
67#19127597C2211yescharacteristic, complemented
68#19127596C2211yescharacteristic, complemented
69#19127596C2211yescharacteristic, complemented
70#19127596C2211yescharacteristic, complemented
71#19127596C2211yescharacteristic, complemented
72#19127596C2211yescharacteristic, complemented
73#19127596C2211yescharacteristic, complemented
74#19127596C2211yescharacteristic, complemented
75#19127593C2211yescharacteristic
76#19127593C2211yescharacteristic
77#19127593C2211yescharacteristic, complemented
78#19127592C2211yescharacteristic
79#19127592C2211yescharacteristic
80#19127592C2211yescharacteristic, complemented
81#19127591C2211yescharacteristic
82#19127591C2211yescharacteristic
83#19127591C2211yescharacteristic
84#19127591C2211yescharacteristic
85#19127591C2211yescharacteristic
86#19127591C2211yescharacteristic, complemented
87#19127591C2211yescharacteristic, complemented
88#19127591C2211yescharacteristic, complemented
89#19127591C2211yescharacteristic, complemented
90#19127590C2211yescharacteristic
91#19127588C2211yescharacteristic, complemented
92#19127587C2211yescharacteristic, complemented
93#19127587C2211yescharacteristic, complemented
94#19127587C2211yescharacteristic, complemented
95#19127587C2211yescharacteristic, complemented
96#19127586C2211yescharacteristic, complemented
97#19127586C2211yescharacteristic, complemented
98#19127585C2211yescharacteristic, complemented
99#19127583C2211yescharacteristic, complemented
100#19127583C2211yescharacteristic, complemented
101#19127583C2211yescharacteristic, complemented
102#19127582C2211yescharacteristic, complemented
103#19127582C2211yescharacteristic, complemented
104#19127582C2211yescharacteristic, complemented
105#19127582C2211yescharacteristic, complemented
106#19127582C2211yescharacteristic, complemented
107#19127580C2211yescharacteristic
108#19127579C2211yescharacteristic
109#19127579C2211yescharacteristic
110#19127579C2211yescharacteristic
111#19127579C2211yescharacteristic
112#19127578C2211yescharacteristic
113#19127576C2211yescharacteristic
114#19127576C2211yescharacteristic
115#19127575C2211yescharacteristic
116#19127575C2211yescharacteristic
117#19127575C2211yescharacteristic, complemented
118#19127574C2211yescharacteristic
119#19127573C2211yescharacteristic
120#19127572C2211yescharacteristic
121#19127572C2211yescharacteristic
122#19127572C2211yescharacteristic
123#19127572C2211yescharacteristic
124#19127572C2211yescharacteristic
125#19127572C2211yescharacteristic
126#19127572C2211yescharacteristic
127#19127572C2211yescharacteristic
128#19127572C2211yescharacteristic
129#19127572C2211yescharacteristic
130#19127572C2211yescharacteristic
131#19127572C2211yescharacteristic
132#19127572C2211yescharacteristic
133#19127572C2211yescharacteristic
134#19127572C2211yescharacteristic
135#19127572C2211yescharacteristic, complemented
136#19127572C2211yescharacteristic, complemented
137#19127572C2211yescharacteristic, complemented
138#19127572C2211yescharacteristic, complemented
139#19127570C2211yescharacteristic, complemented
140#19127569C2211yescharacteristic, complemented
141#19127568C2211yescharacteristic, complemented
142#19127567C2211yescharacteristic, complemented
143#19127566C2211yescharacteristic, complemented
144#19127564C2211yescharacteristic
145#19127563C2211yescharacteristic
146#19127563C2211yescharacteristic, complemented
147#19127560C2211yescharacteristic, complemented
148#19127559C2211yescharacteristic
149#19127558C2211yescharacteristic
150#19127558C2211yescharacteristic, complemented
151#19127556C2211yescharacteristic
152C4×Dic83⋊C4C2211yescharacteristic, complemented
153C4×C4⋊Dic83C2211yescharacteristic, complemented
154#19127552C2211yescharacteristic, complemented
155#19127552C2211yescharacteristic, complemented
156C22⋊C4×Dic83C2211yescharacteristic
157C22⋊C4×Dic83C2211yescharacteristic
158C22⋊C4×Dic83C2211yescharacteristic
159C22⋊C4×Dic83C2211yescharacteristic
160C4×(C2×D83)⋊C4C2211yescharacteristic
161C4×(C2×D83)⋊C4C2211yescharacteristic
162C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
163C4×C22⋊Dic83C2211yescharacteristic
164#19127548C2211yescharacteristic
165#19127548C2211yescharacteristic
166#19127548C2211yescharacteristic
167#19127548C2211yescharacteristic
168#19127547C2211yescharacteristic, complemented
169C2×C83⋊#95C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171#95×D83C2211yescharacteristic
172#95×D83C2211yescharacteristic
173C2×#117×C83C2211yescharacteristic
174C2×#117×C83C2211yescharacteristic
175C22×C4⋊C4×C83C2211yescharacteristic
176#389×C83C2211yescharacteristic, complemented
177#389×C83C2211yescharacteristic, complemented
178#389×C83C2211yescharacteristic, complemented
179#389×C83C2211yescharacteristic, complemented
180#385×C83C2211yescharacteristic
181#385×C83C2211yescharacteristic
182#385×C83C2211yescharacteristic
183#385×C83C2211yescharacteristic
184#384×C83C2211yescharacteristic, complemented
185#384×C83C2211yescharacteristic, complemented
186#382×C83C2211yescharacteristic, complemented
187#382×C83C2211yescharacteristic, complemented
188C24×D83C2311yescharacteristic
189C22×Dic166C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196C22×C4×D83—42no—
197C22×C4×D83—42no—
198C22×C4×D83—42no—
199C22×C4×D83C2311yescharacteristic
200C22×C4×D83C2311yescharacteristic
201C22×C4×D83C2311yescharacteristic
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210#14581787C2×C418yescomplemented
211#14581786C2×C418yescomplemented
212#14581780C2×C418yescomplemented
213#14581777C2×C418yescomplemented
214#14581777C2×C418yescomplemented
215#14581775C2×C418yescomplemented
216#14581770C2×C418yescomplemented
217#14581769C2×C418yescomplemented
218#14581762C2×C418yes—
219#14581757—42no—
220C4×D332C2×C418yescomplemented
221#14581754—42no—
222#14581754—42no—
223#14581754—42no—
224C4×C22⋊D83—42no—
225(C22⋊D83)⋊C4—42no—
226(C22⋊D83)⋊C4C2×C418yescomplemented
227#14581750—42no—
228#14581749C2×C418yescomplemented
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×Dic83⋊C4—42no—
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
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C4⋊C4×D83—42no—
253C4⋊C4×D83—42no—
254C4⋊C4×D83—42no—
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×(C2×D83)⋊C4—42no—
259C2×(C2×D83)⋊C4C2×C418yescomplemented
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
287C22⋊C4×D83—42no—
288C22⋊C4×D83C2×C418yescomplemented
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
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
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
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C23×C4×C83C2311yescharacteristic
339C23×C4×C83C2311yescharacteristic
340C23×C4×C83C2311yescharacteristic
341#117×C83—42no—
342#117×C83C2×C418yescomplemented
343C2×C4⋊C4×C83—42no—
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×C4⋊C4×C83C2311yescharacteristic
353C2×C4⋊C4×C83C2311yescharacteristic
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C4⋊C4×C83C2311yescharacteristic
356C2×C4⋊C4×C83C2311yescharacteristic
357C2×C4⋊C4×C83C2311yescharacteristic
358C2×C4⋊C4×C83C2311yescharacteristic
359C2×C4⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C42×C83C2311yescharacteristic
365C2×C42×C83C2311yescharacteristic
366C2×C42×C83C2311yescharacteristic
367C2×C42×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—22no—
379C23×D83—22no—
380C23×D83—41no—
381C23×D83—41no—
382C23×D83C22×C414yes—
383C23×D83C2411yescharacteristic
384C23×D83C2411yescharacteristic
385C23×D83C2411yescharacteristic
386C2×Dic166—41no—
387C2×Dic166—41no—
388C2×Dic166C22×C414yescomplemented
389C2×D332—22no—
390C2×D332—22no—
391C2×D332—41no—
392C2×D332—41no—
393C2×D332C22×C414yes—
394C2×D332C22×C414yes—
395C2×C22⋊D83—22no—
396C2×C22⋊D83—22no—
397C2×C22⋊D83C22×C414yes—
398C22×Dic83—22no—
399C22×Dic83—22no—
400C22×Dic83—22no—
401C22×Dic83—41no—
402C22×Dic83—41no—
403C22×Dic83—41no—
404C22×Dic83—41no—
405C22×Dic83—41no—
406C22×Dic83C22×C414yes—
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C2×C4×D83—22no—
421C2×C4×D83—22no—
422C2×C4×D83—22no—
423C2×C4×D83—22no—
424C2×C4×D83—22no—
425C2×C4×D83—22no—
426C2×C4×D83—22no—
427C2×C4×D83—22no—
428C2×C4×D83—22no—
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×D83—416no—
442C2×C4×D83—41no—
443C2×C4×D83—41no—
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×D83C22×C414yes—
452C2×C4×D83C22×C414yes—
453C2×C4×D83C22×C414yescomplemented
454C4⋊Dic83—22no—
455C4⋊Dic83—41no—
456C4⋊Dic83—41no—
457C4⋊Dic83—41no—
458C4⋊Dic83C22×C414yescomplemented
459Dic83⋊C4—22no—
460Dic83⋊C4—22no—
461Dic83⋊C4—22no—
462Dic83⋊C4—41no—
463Dic83⋊C4—41no—
464Dic83⋊C4—41no—
465Dic83⋊C4—41no—
466Dic83⋊C4—41no—
467Dic83⋊C4—41no—
468Dic83⋊C4—41no—
469Dic83⋊C4—41no—
470Dic83⋊C4—41no—
471Dic83⋊C4C22×C414yescomplemented
472Dic83⋊C4C22×C414yescomplemented
473Dic83⋊C4C22×C414yescomplemented
474Dic83⋊C4C22×C414yescomplemented
475Dic83⋊C4C22×C414yescomplemented
476C22⋊Dic83—22no—
477C22⋊Dic83—22no—
478C22⋊Dic83C22×C414yes—
479(C2×D83)⋊C4—22no—
480(C2×D83)⋊C4—22no—
481(C2×D83)⋊C4—22no—
482(C2×D83)⋊C4—22no—
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)⋊C4—41no—
492(C2×D83)⋊C4—41no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495(C2×D83)⋊C4C22×C414yes—
496(C2×D83)⋊C4C22×C414yes—
497(C2×D83)⋊C4C22×C414yes—
498(C2×D83)⋊C4C22×C414yes—
499(C2×D83)⋊C4C22×C414yes—
500(C2×D83)⋊C4C22×C414yes—
501(C2×D83)⋊C4C22×C414yes—
502(C2×D83)⋊C4C22×C414yes—
503(C2×D83)⋊C4C22×C414yescomplemented
504(C2×D83)⋊C4C22×C414yescomplemented
505(C2×D83)⋊C4C22×C414yescomplemented
506C4×Dic83—22no—
507C4×Dic83—41no—
508C4×Dic83—41no—
509C4×Dic83—41no—
510C4×Dic83—41no—
511C4×Dic83—41no—
512C4×Dic83—41no—
513C4×Dic83—41no—
514C4×Dic83—41no—
515C4×Dic83—41no—
516C4×Dic83—41no—
517C4×Dic83—41no—
518C4×Dic83C22×C414yescomplemented
519C24×C83C2411yescharacteristic
520C22×C4×C83—22no—
521C22×C4×C83—22no—
522C22×C4×C83—22no—
523C22×C4×C83—22no—
524C22×C4×C83—41no—
525C22×C4×C83—41no—
526C22×C4×C83—41no—
527C22×C4×C83—41no—
528C22×C4×C83C22×C414yes—
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
540C22×C4×C83C2411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C4⋊C4×C83—41no—
544C4⋊C4×C83—41no—
545C4⋊C4×C83—41no—
546C4⋊C4×C83—41no—
547C4⋊C4×C83—41no—
548C4⋊C4×C83—41no—
549C4⋊C4×C83—41no—
550C4⋊C4×C83—41no—
551C4⋊C4×C83—41no—
552C4⋊C4×C83—41no—
553C4⋊C4×C83—41no—
554C4⋊C4×C83—41no—
555C4⋊C4×C83—41no—
556C4⋊C4×C83—41no—
557C4⋊C4×C83C22×C414yescomplemented
558C4⋊C4×C83C22×C414yescomplemented
559C22⋊C4×C83—22no—
560C22⋊C4×C83—22no—
561C22⋊C4×C83C22×C414yes—
562C22⋊C4×C83C22×C414yes—
563C42×C83—41no—
564C42×C83—41no—
565C42×C83C22×C414yescomplemented
566C42×C83C22×C414yescomplemented
567C23×C83—21no—
568C23×C83—21no—
569C23×C83—21no—
570C23×C83—21no—
571C23×C83C23×C412yes—
572C23×C83H(5,𝔽2)12yes—
573C23×C832−1+412yes—
574C23×C83C2511yescharacteristic
575C22×D83—21no—
576C22×D83—21no—
577C22×D83—21no—
578C22×D83—21no—
579C22×D83—28no—
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—28no—
593C22×D83—44no—
594C22×D83—44no—
595C22×D83—44no—
596C22×D83—44no—
597C22×D83—44no—
598C22×D83C23×C412yes—
599C22×D83C23×C412yes—
600C22×D83C23×C412yes—
601C22×D83H(5,𝔽2)12yes—
602C22×D832−1+412yes—
603C2×C4×C83—28no—
604C2×C4×C83—21no—
605C2×C4×C83—21no—
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—
647C2×C4×C83C23×C412yes—
648C22⋊D83—28no—
649C2×Dic83—21no—
650C2×Dic83—21no—
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—44no—
683C2×Dic83—44no—
684C2×Dic83—82no—
685C2×Dic83C23×C412yes—
686C2×Dic83C23×C412yes—
687C2×Dic83C23×C412yes—
688C2×Dic83C23×C412yes—
689C2×Dic83C23×C412yes—
690C2×Dic83H(5,𝔽2)12yes—
691D332—28no—
692D332—44no—
693C4×D83—28no—
694C4×D83—44no—
695C4×D83—44no—
696C4×D83—44no—
697C4×D83—44no—
698C4×D83—44no—
699C4×D83—44no—
700C4×D83—82no—
701C4×D83—82no—
702C4×D83—82no—
703C4×D83—82no—
704Dic166—44no—
705C22×C83—22no—
706C22×C83—22no—
707C22×C83—22no—
708C22×C83—22no—
709C22×C83—22no—
710C22×C83—22no—
711C22×C83#52014yes—
712C22×C83C24×C411yescharacteristic
713C22×C83C2×H(5,𝔽2)11yescharacteristic
714C22×C83C2×H(5,𝔽2)11yescharacteristic
715C22×C83C2×H(5,𝔽2)11yescharacteristic
716C22×C83C2×2−1+411yescharacteristic
717C22×C83C2×2−1+411yescharacteristic
718C22×C83#58511yescharacteristic
719C2×D83—22no—
720C2×D83—22no—
721C2×D83—22no—
722C2×D83—22no—
723C2×D83—22no—
724C2×D83—22no—
725C2×D83—22no—
726C2×D83—22no—
727C2×D83—22no—
728C2×D83—22no—
729C2×D83—22no—
730C2×D83—22no—
731C2×D83—416no—
732C2×D83—41no—
733C2×D83—41no—
734C2×D83—41no—
735C2×D83—41no—
736C2×D83—41no—
737C2×D83—41no—
738C2×D83—41no—
739C2×D83—41no—
740C2×D83#52014yes—
741C4×C83—22no—
742C4×C83—22no—
743C4×C83—22no—
744C4×C83—22no—
745C4×C83—22no—
746C4×C83—22no—
747C4×C83—41no—
748C4×C83—41no—
749C4×C83—41no—
750C4×C83—41no—
751C4×C83—41no—
752C4×C83—41no—
753C4×C83—41no—
754C4×C83—41no—
755Dic83—22no—
756Dic83—22no—
757Dic83—22no—
758Dic83—22no—
759Dic83—22no—
760Dic83—22no—
761Dic83—41no—
762Dic83—41no—
763Dic83—41no—
764Dic83—41no—
765Dic83—41no—
766Dic83—41no—
767Dic83—41no—
768#34457—831nomaximal, Sylow
769C2×C83—24no—
770C2×C83C2×#52011yescharacteristic
771C2×C83C2×#52011yescharacteristic
772C2×C83C4×H(5,𝔽2)11yescharacteristic
773C2×C83#353211yescharacteristic
774C2×C83#353511yescharacteristic
775C2×C83#353511yescharacteristic
776C2×C83#353811yescharacteristic
777D83—24no—
778D83—42no—
779D83—42no—
780C2×#551—831no—
781#2383—831no—
782#2383—831no—
783#2379—831no—
784#2376—831no—
785#2360—831no—
786#2360—831no—
787#2359—831no—
788#2359—831no—
789#2358—831no—
790D4×C4⋊C4—831no—
791D4×C4⋊C4—831no—
792#2343—831no—
793#2343—831no—
794#2342—831no—
795#2342—831no—
796#2334—831no—
797#2334—831no—
798#2329—831no—
799#2329—831no—
800#2326—831no—
801#2322—831no—
802#2322—831no—
803#2322—831no—
804#2318—831no—
805#2318—831no—
806#2317—831no—
807#2317D8311yescharacteristic, complemented
808C4×#120—831no—
809C2×#385—831no—
810C2×#385—831no—
811C83#3445711yescharacteristic, complemented, Sylow
812C24×C4—831no—
813#551—8316no—
814C2×#126—831no—
815C2×#126—831no—
816C2×#124—831no—
817C2×#123—831no—
818C2×#123—831no—
819C2×#123—831no—
820C2×C22⋊Q8—831no—
821C2×C22⋊Q8—831no—
822C2×#120—831no—
823C2×C4×Q8—831no—
824C2×C4×D4—831no—
825C2×C4×D4—831no—
826C2×C4×D4—831no—
827C2×C4×D4—831no—
828C2×C4×D4—831no—
829C2×C4×D4—831no—
830C2×C4×D4—831no—
831C2×#117—831no—
832C2×#117—831no—
833C2×#117C2×D8311yescharacteristic
834C2×#117C2×D8311yescharacteristic
835C22×C4⋊C4—831no—
836C22×C4⋊C4—831no—
837C22×C4⋊C4—831no—
838C22×C4⋊C4—831no—
839C22×C4⋊C4C2×D8311yescharacteristic
840C22×C22⋊C4—831no—
841C22×C22⋊C4—831no—
842C22×C22⋊C4—831no—
843C22×C22⋊C4—831no—
844#391—831no—
845#391—831no—
846#391—831no—
847#390—831no—
848#389—831no—
849#389—831no—
850#389—831no—
851#389—831no—
852#389—831no—
853#389—831no—
854#389—831no—
855#389—831no—
856#389—831no—
857#389—831no—
858#389C2×D8311yescharacteristic, complemented
859#389C2×D8311yescharacteristic, complemented
860#389C2×D8311yescharacteristic, complemented
861#389C2×D8311yescharacteristic, complemented
862#388—831no—
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#387—831no—
879#387—831no—
880#387—831no—
881#387—831no—
882#387—831no—
883#387—831no—
884#387—831no—
885#387—831no—
886#387—831no—
887#387—831no—
888#387—831no—
889#387—831no—
890#387—831no—
891#387—831no—
892#387—831no—
893#387—831no—
894#386—831no—
895#386—831no—
896#386—831no—
897#386—831no—
898#386—831no—
899#386—831no—
900#385—831no—
901#385—831no—
902#385—831no—
903#385—831no—
904#385—831no—
905#385—831no—
906#385—831no—
907#385—831no—
908#385—831no—
909#385—831no—
910#385—831no—
911#385—831no—
912#385—831no—
913#385—831no—
914#385—831no—
915#385—831no—
916#385—831no—
917#385—831no—
918#385—831no—
919#385—831no—
920#385—831no—
921#385—831no—
922#385—831no—
923#385—831no—
924#385—831no—
925#385—831no—
926#385C2×D8311yescharacteristic
927#385C2×D8311yescharacteristic
928#385C2×D8311yescharacteristic
929#385C2×D8311yescharacteristic
930#384—831no—
931#384C2×D8311yescharacteristic, complemented
932#384C2×D8311yescharacteristic, complemented
933#383—831no—
934#383—831no—
935#382—831no—
936#382—831no—
937#382C2×D8311yescharacteristic, complemented
938#382C2×D8311yescharacteristic, complemented
939#381—831no—
940#381—831no—
941#381—831no—
942#380—831no—
943#380—831no—
944#380—831no—
945#380—831no—
946#379—831no—
947C4×C4⋊C4—831no—
948C4×C4⋊C4—831no—
949C4×C4⋊C4—831no—
950C4×C4⋊C4—831no—
951C4×C22⋊C4—831no—
952C4×C22⋊C4—831no—
953C4×C22⋊C4—831no—
954C4×C22⋊C4—831no—
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—
963#376—831no—
964C2×#95—831no—
965C2×#95—831no—
966C2×#95—831no—
967C2×#95—831no—
968C25—831no—
969C22×Q8—831no—
970C22×D4—831no—
971C22×D4—831no—
972C22×D4—831no—
973C23×C4—3322no—
974C23×C4—3322no—
975C23×C4—3322no—
976C23×C4—831no—
977C23×C4—831no—
978C23×C4—831no—
979C23×C4—831no—
980C23×C4—831no—
981C23×C4—831no—
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×C4C22×D8311yescharacteristic
991C23×C4C22×D8311yescharacteristic
992C23×C4C22×D8311yescharacteristic
993#126—838no—
994#126—838no—
995#124—838no—
996#123—838no—
997#123—838no—
998#123—838no—
999C22⋊Q8—838no—
1000C22⋊Q8—838no—
1001#120—838no—
1002C4×Q8—3322no—
1003C4×D4—3322no—
1004C4×D4—3322no—
1005C4×D4—3322no—
1006C4×D4—3322no—
1007C4×D4—3322no—
1008C4×D4—838no—
1009C4×D4—838no—
1010#117—42no—
1011#117—3322no—
1012#117—838no—
1013#117C4×D8318yescomplemented
1014C2×C4⋊C4—42no—
1015C2×C4⋊C4—3322no—
1016C2×C4⋊C4—3322no—
1017C2×C4⋊C4—3322no—
1018C2×C4⋊C4—3322no—
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⋊C4—831no—
1037C2×C4⋊C4—831no—
1038C2×C4⋊C4—831no—
1039C2×C4⋊C4—831no—
1040C2×C4⋊C4—831no—
1041C2×C4⋊C4C22×D8311yescharacteristic
1042C2×C4⋊C4C22×D8311yescharacteristic
1043C2×C4⋊C4C22×D8311yescharacteristic
1044C2×C4⋊C4C22×D8311yescharacteristic
1045C2×C4⋊C4C22×D8311yescharacteristic
1046C2×C4⋊C4C22×D8311yescharacteristic
1047C2×C4⋊C4C22×D8311yescharacteristic
1048C2×C4⋊C4C22×D8311yescharacteristic
1049C2×C4⋊C4C22×D8311yescharacteristic
1050C2×C4⋊C4C22×D8311yescharacteristic
1051C2×C4⋊C4C22×D8311yescharacteristic
1052C2×C4⋊C4C22×D8311yescharacteristic
1053C2×C4⋊C4C22×D8311yescharacteristic
1054C2×C4⋊C4C22×D8311yescharacteristic
1055C2×C4⋊C4C22×D8311yescharacteristic
1056C2×C4⋊C4C22×D8311yescharacteristic
1057C2×C22⋊C4—3322no—
1058C2×C22⋊C4—3322no—
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—838no—
1073C2×C22⋊C4—831no—
1074C2×C22⋊C4—831no—
1075C2×C22⋊C4—831no—
1076C2×C22⋊C4—831no—
1077C2×C22⋊C4—831no—
1078C2×C22⋊C4—831no—
1079C2×C22⋊C4—831no—
1080C2×C22⋊C4—831no—
1081C2×C22⋊C4—831no—
1082C2×C22⋊C4—831no—
1083C2×C22⋊C4—831no—
1084C2×C22⋊C4—838no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—831no—
1088C2×C22⋊C4—831no—
1089C2×C22⋊C4—831no—
1090C2×C22⋊C4—831no—
1091C2×C22⋊C4C22×D8311yescharacteristic
1092C2×C22⋊C4C22×D8311yescharacteristic
1093C2×C22⋊C4C22×D8311yescharacteristic
1094C2×C22⋊C4C22×D8311yescharacteristic
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×C42C22×D8311yescharacteristic
1109C2×C42C22×D8311yescharacteristic
1110C2×C42C22×D8311yescharacteristic
1111C2×C42C22×D8311yescharacteristic
1112#95—831no—
1113#95—831no—
1114#95—831no—
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#95—831no—
1146#95—831no—
1147#95—831no—
1148#95C22×D8311yescharacteristic
1149#95C22×D8311yescharacteristic
1150#95C22×D8311yescharacteristic
1151#95C22×D8311yescharacteristic
1152#95C22×D8311yescharacteristic
1153#95C22×D8311yescharacteristic
1154#95C22×D8311yescharacteristic
1155#95C22×D8311yescharacteristic
1156C24—3321no—
1157C24—3321no—
1158C24—834no—
1159C24—831no—
1160C24—831no—
1161C24—831no—
1162C24—1662no—
1163C24—1662no—
1164C24—1662no—
1165C24—1662no—
1166C24C23×D8311yescharacteristic
1167C2×Q8—3321no—
1168C2×Q8—3321no—
1169C2×Q8—834no—
1170C2×D4—3321no—
1171C2×D4—3321no—
1172C2×D4—834no—
1173C2×D4—834no—
1174C2×D4—834no—
1175C2×D4—1662no—
1176C2×D4—1662no—
1177C2×D4—1662no—
1178C2×D4—1662no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—3321no—
1188C22×C4—3321no—
1189C22×C4—3321no—
1190C22×C4—3321no—
1191C22×C4—3321no—
1192C22×C4—3321no—
1193C22×C4—3321no—
1194C22×C4—3321no—
1195C22×C4—3321no—
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—33216no—
1209C22×C4—3321no—
1210C22×C4—3321no—
1211C22×C4—3321no—
1212C22×C4—3321no—
1213C22×C4—3321no—
1214C22×C4—834no—
1215C22×C4—834no—
1216C22×C4—834no—
1217C22×C4—831no—
1218C22×C4—831no—
1219C22×C4—831no—
1220C22×C4—831no—
1221C22×C4—831no—
1222C22×C4—831no—
1223C22×C4—834no—
1224C22×C4—831no—
1225C22×C4—831no—
1226C22×C4—831no—
1227C22×C4—831no—
1228C22×C4—831no—
1229C22×C4—831no—
1230C22×C4—831no—
1231C22×C4—1662no—
1232C22×C4—1662no—
1233C22×C4—1662no—
1234C22×C4—1662no—
1235C22×C4—1662no—
1236C22×C4—1662no—
1237C22×C4—1662no—
1238C22×C4—1662no—
1239C22×C4—1662no—
1240C22×C4—1662no—
1241C22×C4—1662no—
1242C22×C4—1662no—
1243C22×C4C2×C4×D8314yes—
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
1253C22×C4C23×D8311yescharacteristic
1254C22×C4C23×D8311yescharacteristic
1255C22×C4C23×D8311yescharacteristic
1256C22×C4C23×D8311yescharacteristic
1257C22×C4C23×D8311yescharacteristic
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—3321no—
1273C4⋊C4—3321no—
1274C4⋊C4—3321no—
1275C4⋊C4—3321no—
1276C4⋊C4—3321no—
1277C4⋊C4—3321no—
1278C4⋊C4—3321no—
1279C4⋊C4—3321no—
1280C4⋊C4—3321no—
1281C4⋊C4—3321no—
1282C4⋊C4—3321no—
1283C4⋊C4—3321no—
1284C4⋊C4—834no—
1285C4⋊C4—834no—
1286C4⋊C4—834no—
1287C4⋊C4—834no—
1288C4⋊C4—834no—
1289C4⋊C4—834no—
1290C4⋊C4—1662no—
1291C4⋊C4—1662no—
1292C4⋊C4—1662no—
1293C4⋊C4—1662no—
1294C4⋊C4C2×C4×D8314yescomplemented
1295C4⋊C4C2×C4×D8314yescomplemented
1296C22⋊C4—22no—
1297C22⋊C4—22no—
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—3321no—
1307C22⋊C4—3321no—
1308C22⋊C4—3321no—
1309C22⋊C4—3321no—
1310C22⋊C4—834no—
1311C22⋊C4—834no—
1312C22⋊C4—834no—
1313C22⋊C4—834no—
1314C22⋊C4—834no—
1315C22⋊C4—834no—
1316C22⋊C4—834no—
1317C22⋊C4—834no—
1318C22⋊C4—834no—
1319C22⋊C4—834no—
1320C22⋊C4—834no—
1321C22⋊C4—834no—
1322C22⋊C4—1662no—
1323C22⋊C4—1662no—
1324C22⋊C4—1662no—
1325C22⋊C4—1662no—
1326C22⋊C4—1662no—
1327C22⋊C4—1662no—
1328C22⋊C4C2×C4×D8314yes—
1329C22⋊C4C2×C4×D8314yes—
1330C42—41no—
1331C42—41no—
1332C42—3321no—
1333C42—3321no—
1334C42—3321no—
1335C42—3321no—
1336C42—3321no—
1337C42—3321no—
1338C42—3321no—
1339C42—3321no—
1340C42—3321no—
1341C42—3321no—
1342C42—3321no—
1343C42—834no—
1344C42—1662no—
1345C42C2×C4×D8314yescomplemented
1346C42C2×C4×D8314yescomplemented
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—3324no—
1352C23—3324no—
1353C23—3324no—
1354C23—3324no—
1355C23—3324no—
1356C23—832no—
1357C23—832no—
1358C23—832no—
1359C23—832no—
1360C23—832no—
1361C23—1668no—
1362C23—1668no—
1363C23—1661no—
1364C23—1661no—
1365C23—1661no—
1366C23—1661no—
1367C23—1661no—
1368C23—1661no—
1369C23—1661no—
1370C23—1661no—
1371C23—1661no—
1372C23—1661no—
1373C23—1661no—
1374C23—1661no—
1375C23—1661no—
1376C23—1661no—
1377C23—1661no—
1378C23—1661no—
1379C23C22×C4×D8312yes—
1380C23#1458183712yes—
1381C23#1458184012yes—
1382C23C24×D8311yescharacteristic
1383Q8—3324no—
1384D4—3324no—
1385D4—1668no—
1386D4—1668no—
1387C2×C4—28no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
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—44no—
1425C2×C4—82no—
1426C2×C4—3324no—
1427C2×C4—3324no—
1428C2×C4—3324no—
1429C2×C4—3324no—
1430C2×C4—3324no—
1431C2×C4—3324no—
1432C2×C4—3324no—
1433C2×C4—3324no—
1434C2×C4—832no—
1435C2×C4—832no—
1436C2×C4—832no—
1437C2×C4—832no—
1438C2×C4—832no—
1439C2×C4—832no—
1440C2×C4—6642no—
1441C2×C4—6642no—
1442C2×C4—6642no—
1443C2×C4—6642no—
1444C2×C4—6642no—
1445C2×C4—1668no—
1446C2×C4—1661no—
1447C2×C4—1661no—
1448C2×C4—1661no—
1449C2×C4—1661no—
1450C2×C4—1661no—
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×C4C22×C4×D8312yes—
1480C2×C4C22×C4×D8312yes—
1481C2×C4C22×C4×D8312yes—
1482C2×C4C22×C4×D8312yes—
1483C2×C4C22×C4×D8312yes—
1484C2×C4C22×C4×D8312yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—33216no—
1492C22—3321no—
1493C22—3321no—
1494C22—3321no—
1495C22—3321no—
1496C22—3321no—
1497C22—3321no—
1498C22—3321no—
1499C22—3321no—
1500C22—834no—
1501C22—1662no—
1502C22—1662no—
1503C22—1662no—
1504C22—1662no—
1505C22—1662no—
1506C22—1662no—
1507C22—1662no—
1508C22—1662no—
1509C22—1662no—
1510C22—1662no—
1511C22—1662no—
1512C22—1662no—
1513C22#1912818214yes—
1514C22C23×C4×D8311yescharacteristic
1515C22H(5,𝔽2)×D8311yescharacteristic
1516C22H(5,𝔽2)×D8311yescharacteristic
1517C22C2×#1458183711yescharacteristic
1518C222−1+4×D8311yescharacteristic
1519C22C2×#1458184011yescharacteristic
1520C22#1912853811yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—3321no—
1536C4—3321no—
1537C4—3321no—
1538C4—3321no—
1539C4—3321no—
1540C4—3321no—
1541C4—3321no—
1542C4—1662no—
1543C4—1662no—
1544C4—1662no—
1545C4—1662no—
1546C4—1662no—
1547C4—1662no—
1548C2—24no—
1549C2—3322no—
1550C2—3322no—
1551C2—1664no—
1552C2#520×D8311yescharacteristic
1553C2C2×#1912818211yescharacteristic
1554C2#2492066911yescharacteristic
1555C2#2492161711yescharacteristic
1556C2#2492166211yescharacteristic
1557C2#2492167311yescharacteristic
1558C2#2492170511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2317C2
socle, cosocleC23×C83C25
prime radicalC2×#14581762C22
hypercenter#2317D83
hypocenterC83#34457
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2317

Complements

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

NH ≅ G/Ntype
2. #24910656C2semidirect
3. #24910654C2semidirect
4. #24910634C2semidirect
5. #24910608C2semidirect
6. #24910465C2semidirect
7. #24910463C2semidirect
8. #24910455C2semidirect
9. #24910450C2semidirect
11. #24910363C2semidirect
12. #24910361C2semidirect
13. #24910323C2semidirect
14. #24910316C2semidirect
15. #24910313C2semidirect
16. #24910310C2semidirect
17. #24910237C2semidirect
18. #24910234C2semidirect
19. #24910197C2semidirect
20. #24910194C2semidirect
21. #24910171C2semidirect
22. #24910132C2semidirect
23. #24910127C2semidirect
24. #24910127C2semidirect
25. #24910099C2semidirect
26. #24910091C2semidirect
27. #24910084C2semidirect
29. C2×#19127572C2semidirect
30. #385×D83C2semidirect
31. C83×#2317C2semidirect
33. #19128375C4semidirect
43. C2×#14581757C22semidirect
56. C2×C4⋊C4×D83C22semidirect
61. #19127606C22semidirect
62. #19127605C22semidirect
63. #19127605C22semidirect
65. #19127598C22semidirect
66. #19127597C22semidirect
67. #19127597C22semidirect
68. #19127596C22semidirect
69. #19127596C22semidirect
70. #19127596C22semidirect
71. #19127596C22semidirect
72. #19127596C22semidirect
73. #19127596C22semidirect
74. #19127596C22semidirect
77. #19127593C22semidirect
80. #19127592C22semidirect
86. #19127591C22semidirect
87. #19127591C22semidirect
88. #19127591C22semidirect
89. #19127591C22semidirect
91. #19127588C22semidirect
92. #19127587C22semidirect
93. #19127587C22semidirect
94. #19127587C22semidirect
95. #19127587C22semidirect
96. #19127586C22semidirect
97. #19127586C22semidirect
98. #19127585C22semidirect
99. #19127583C22semidirect
100. #19127583C22semidirect
101. #19127583C22semidirect
102. #19127582C22semidirect
103. #19127582C22semidirect
104. #19127582C22semidirect
105. #19127582C22semidirect
106. #19127582C22semidirect
117. #19127575C22semidirect
135. #19127572C22semidirect
136. #19127572C22semidirect
137. #19127572C22semidirect
138. #19127572C22semidirect
139. #19127570C22semidirect
140. #19127569C22semidirect
141. #19127568C22semidirect
142. #19127567C22semidirect
143. #19127566C22semidirect
146. #19127563C22semidirect
147. #19127560C22semidirect
150. #19127558C22semidirect
152. C4×Dic83⋊C4C22semidirect
153. C4×C4⋊Dic83C22semidirect
154. #19127552C22semidirect
155. #19127552C22semidirect
162. C4×(C2×D83)⋊C4C22semidirect
168. #19127547C22semidirect
176. #389×C83C22semidirect
177. #389×C83C22semidirect
178. #389×C83C22semidirect
179. #389×C83C22semidirect
184. #384×C83C22semidirect
185. #384×C83C22semidirect
186. #382×C83C22semidirect
187. #382×C83C22semidirect
210. #14581787C2×C4semidirect
211. #14581786C2×C4semidirect
212. #14581780C2×C4semidirect
213. #14581777C2×C4semidirect
214. #14581777C2×C4semidirect
215. #14581775C2×C4semidirect
216. #14581770C2×C4semidirect
217. #14581769C2×C4semidirect
220. C4×D332C2×C4semidirect
226. (C22⋊D83)⋊C4C2×C4semidirect
228. #14581749C2×C4semidirect
259. C2×(C2×D83)⋊C4C2×C4semidirect
288. C22⋊C4×D83C2×C4semidirect
342. #117×C83C2×C4semidirect
388. C2×Dic166C22×C4semidirect
453. C2×C4×D83C22×C4semidirect
458. C4⋊Dic83C22×C4semidirect
471. Dic83⋊C4C22×C4semidirect
472. Dic83⋊C4C22×C4semidirect
473. Dic83⋊C4C22×C4semidirect
474. Dic83⋊C4C22×C4semidirect
475. Dic83⋊C4C22×C4semidirect
503. (C2×D83)⋊C4C22×C4semidirect
504. (C2×D83)⋊C4C22×C4semidirect
505. (C2×D83)⋊C4C22×C4semidirect
518. C4×Dic83C22×C4semidirect
557. C4⋊C4×C83C22×C4semidirect
558. C4⋊C4×C83C22×C4semidirect
565. C42×C83C22×C4semidirect
566. C42×C83C22×C4semidirect
807. #2317D83semidirect
811. C83#34457semidirect
858. #389C2×D83semidirect
859. #389C2×D83semidirect
860. #389C2×D83semidirect
861. #389C2×D83semidirect
931. #384C2×D83semidirect
932. #384C2×D83semidirect
937. #382C2×D83semidirect
938. #382C2×D83semidirect
1013. #117C4×D83semidirect
1294. C4⋊C4C2×C4×D83semidirect
1295. C4⋊C4C2×C4×D83semidirect
1345. C42C2×C4×D83semidirect
1346. C42C2×C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283752
#249106562
#249106542
#249106342
#249106082
#249104652
#249104632
#249104552
#249104502
#249104392
#249103632
#249103612
#249103232
#249103162
#249103132
#249103102
#249102372
#249102342
#249101972
#249101942
#249101712
#249101322
#249101272
#249100992
#249100912
#249100842
#249099642
C2×#191275722
#385×D832
C83×#23172
#3445783