Finite Group Databasebeta

← #35577195

Subgroups — #35577195

Order 21248.

2378 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915758C211yesmaximal, characteristic, complemented
2#24915758C211yesmaximal, characteristic, complemented
3#24915749C211yesmaximal, characteristic, complemented
4#24915746C211yesmaximal, characteristic
5#24913432C211yesmaximal, characteristic, complemented
6#24913417C211yesmaximal, characteristic, complemented
7#24913417C211yesmaximal, characteristic, complemented
8#24913395C211yesmaximal, characteristic, complemented
9#24912029C211yesmaximal, characteristic, complemented
10#24912017C211yesmaximal, characteristic, complemented
11#24911960C211yesmaximal, characteristic, complemented
12#24911849C211yesmaximal, characteristic, complemented
13#24911847C211yesmaximal, characteristic, complemented
14#24911786C211yesmaximal, characteristic, complemented
15#24911784C211yesmaximal, characteristic, complemented
16#24911289C211yesmaximal, characteristic, complemented
17#24911285C211yesmaximal, characteristic, complemented
18#24911217C211yesmaximal, characteristic, complemented
19#24911213C211yesmaximal, characteristic, complemented
20#24911021C211yesmaximal, characteristic, complemented
21#24911007C211yesmaximal, characteristic, complemented
22#24910945C211yesmaximal, characteristic, complemented
23#24910943C211yesmaximal, characteristic, complemented
24#24910197C211yesmaximal, characteristic, complemented
25#24910162C211yesmaximal, characteristic, complemented
26#24910099C211yesmaximal, characteristic, complemented
27#24910095C211yesmaximal, characteristic, complemented
28C4×#14581762C211yesmaximal, characteristic, complemented
29#24909964C211yesmaximal, characteristic, complemented
30C2×#95×D83C211yesmaximal, characteristic, complemented
31C83×#2505C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic
35C2×#14581777C2211yescharacteristic
36C2×#14581777C2211yescharacteristic
37C2×#14581777C2211yescharacteristic
38C2×#14581777C2211yescharacteristic
39C2×#14581770C2211yescharacteristic
40C2×#14581770C2211yescharacteristic
41C2×#14581769C2211yescharacteristic
42C2×#14581767C2211yescharacteristic
43C2×#14581767C2211yescharacteristic
44C2×#14581766C2211yescharacteristic
45C2×#14581762C2211yescharacteristic
46C2×#14581762C2211yescharacteristic
47C2×C4×D332C2211yescharacteristic
48C2×C4×D332C2211yescharacteristic
49C2×#14581754C2211yescharacteristic
50C2×#14581754C2211yescharacteristic
51C2×C4×C22⋊D83C2211yescharacteristic
52C2×(C22⋊D83)⋊C4C2211yescharacteristic
53C83⋊#401C2211yescharacteristic, complemented
54C83⋊#401C2211yescharacteristic, complemented
55#19127643C2211yescharacteristic, complemented
56#19127643C2211yescharacteristic, complemented
57#19127642C2211yescharacteristic, complemented
58#19127642C2211yescharacteristic, complemented
59#19127642C2211yescharacteristic, complemented
60#19127641C2211yescharacteristic, complemented
61#19127641C2211yescharacteristic, complemented
62#19127639C2211yescharacteristic, complemented
63#19127639C2211yescharacteristic, complemented
64#19127634C2211yescharacteristic, complemented
65#19127632C2211yescharacteristic, complemented
66#19127631C2211yescharacteristic, complemented
67#19127630C2211yescharacteristic, complemented
68#19127630C2211yescharacteristic, complemented
69#19127630C2211yescharacteristic, complemented
70#19127630C2211yescharacteristic, complemented
71#19127630C2211yescharacteristic, complemented
72#19127630C2211yescharacteristic, complemented
73#19127627C2211yescharacteristic, complemented
74#19127627C2211yescharacteristic, complemented
75#19127623C2211yescharacteristic, complemented
76#19127623C2211yescharacteristic, complemented
77#19127619C2211yescharacteristic, complemented
78#19127618C2211yescharacteristic, complemented
79#19127614C2211yescharacteristic, complemented
80#19127614C2211yescharacteristic, complemented
81#19127606C2211yescharacteristic, complemented
82#19127605C2211yescharacteristic, complemented
83#19127596C2211yescharacteristic, complemented
84#19127592C2211yescharacteristic, complemented
85#19127592C2211yescharacteristic, complemented
86#19127591C2211yescharacteristic, complemented
87#19127591C2211yescharacteristic, complemented
88#19127590C2211yescharacteristic, complemented
89#19127590C2211yescharacteristic, complemented
90#19127588C2211yescharacteristic, complemented
91#19127587C2211yescharacteristic, complemented
92#19127587C2211yescharacteristic, complemented
93#19127587C2211yescharacteristic, complemented
94#19127586C2211yescharacteristic, complemented
95#19127586C2211yescharacteristic, complemented
96#19127585C2211yescharacteristic, complemented
97#19127582C2211yescharacteristic, complemented
98#19127580C2211yescharacteristic
99#19127580C2211yescharacteristic
100#19127580C2211yescharacteristic
101#19127579C2211yescharacteristic
102#19127579C2211yescharacteristic
103#19127579C2211yescharacteristic
104#19127579C2211yescharacteristic
105#19127579C2211yescharacteristic
106#19127579C2211yescharacteristic
107#19127579C2211yescharacteristic
108#19127579C2211yescharacteristic
109#19127579C2211yescharacteristic
110#19127579C2211yescharacteristic
111#19127579C2211yescharacteristic
112#19127579C2211yescharacteristic
113#19127579C2211yescharacteristic, complemented
114#19127579C2211yescharacteristic, complemented
115#19127578C2211yescharacteristic
116#19127578C2211yescharacteristic
117#19127578C2211yescharacteristic
118#19127578C2211yescharacteristic
119#19127578C2211yescharacteristic
120#19127576C2211yescharacteristic
121#19127575C2211yescharacteristic
122#19127575C2211yescharacteristic
123#19127575C2211yescharacteristic
124#19127575C2211yescharacteristic
125#19127575C2211yescharacteristic, complemented
126#19127574C2211yescharacteristic
127#19127573C2211yescharacteristic
128#19127573C2211yescharacteristic
129#19127572C2211yescharacteristic
130#19127572C2211yescharacteristic
131#19127572C2211yescharacteristic
132#19127572C2211yescharacteristic
133#19127572C2211yescharacteristic
134#19127572C2211yescharacteristic
135#19127572C2211yescharacteristic
136#19127572C2211yescharacteristic
137#19127572C2211yescharacteristic, complemented
138#19127569C2211yescharacteristic, complemented
139#19127568C2211yescharacteristic, complemented
140#19127565C2211yescharacteristic, complemented
141#19127563C2211yescharacteristic
142#19127563C2211yescharacteristic
143#19127563C2211yescharacteristic
144#19127563C2211yescharacteristic
145#19127563C2211yescharacteristic, complemented
146#19127563C2211yescharacteristic, complemented
147#19127560C2211yescharacteristic
148#19127560C2211yescharacteristic
149#19127560C2211yescharacteristic, complemented
150#19127559C2211yescharacteristic
151#19127558C2211yescharacteristic
152#19127558C2211yescharacteristic
153#19127558C2211yescharacteristic, complemented
154#19127556C2211yescharacteristic
155#19127556C2211yescharacteristic
156C22⋊C4×Dic83C2211yescharacteristic
157C4×(C2×D83)⋊C4C2211yescharacteristic
158C4×(C2×D83)⋊C4C2211yescharacteristic
159#19127548C2211yescharacteristic
160#19127548C2211yescharacteristic
161C2×C83⋊#95C2211yescharacteristic
162C2×C83⋊#95C2211yescharacteristic
163C2×C83⋊#95C2211yescharacteristic
164#95×D83C2211yescharacteristic
165#95×D83C2211yescharacteristic
166#95×D83C2211yescharacteristic
167#95×D83C2211yescharacteristic
168#95×D83C2211yescharacteristic
169#95×D83C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172#400×C83C2211yescharacteristic, complemented
173#400×C83C2211yescharacteristic, complemented
174#400×C83C2211yescharacteristic, complemented
175#398×C83C2211yescharacteristic, complemented
176#389×C83C2211yescharacteristic, complemented
177#387×C83C2211yescharacteristic, complemented
178#387×C83C2211yescharacteristic, complemented
179#385×C83C2211yescharacteristic
180#385×C83C2211yescharacteristic
181#385×C83C2211yescharacteristic
182#385×C83C2211yescharacteristic
183#382×C83C2211yescharacteristic, complemented
184#380×C83C2211yescharacteristic
185C4×C22⋊C4×C83C2211yescharacteristic
186C2×#95×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C22×Dic166C2311yescharacteristic
189C22×D332C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C23×Dic83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198C23×Dic83C2311yescharacteristic
199C22×C4×D83—24no—
200C22×C4×D83—24no—
201C22×C4×D83—24no—
202C22×C4×D83—42no—
203C22×C4×D83—42no—
204C22×C4×D83—42no—
205C22×C4×D83—42no—
206C22×C4×D83—42no—
207C22×C4×D83—42no—
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
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222#14581777—42no—
223#14581777—42no—
224#14581777—42no—
225#14581777—42no—
226#14581770—24no—
227#14581770—42no—
228#14581769—42no—
229#14581767—24no—
230#14581767—42no—
231#14581766—42no—
232#14581762—24no—
233#14581762—24no—
234C4×D332—24no—
235C4×D332—42no—
236#14581754—24no—
237#14581754—42no—
238C4×C22⋊D83—42no—
239(C22⋊D83)⋊C4—42no—
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
242C2×C4⋊Dic83C2311yescharacteristic
243C2×C4⋊Dic83C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
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×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C83⋊#95C2311yescharacteristic
295C83⋊#95C2311yescharacteristic
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
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
334C23×C4×C83C2311yescharacteristic
335C23×C4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337C2×C4⋊C4×C83C2311yescharacteristic
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×C4⋊C4×C83C2311yescharacteristic
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C42×C83C2311yescharacteristic
352C2×C42×C83C2311yescharacteristic
353#95×C83C2311yescharacteristic
354#95×C83C2311yescharacteristic
355#95×C83C2311yescharacteristic
356#95×C83C2311yescharacteristic
357#95×C83C2311yescharacteristic
358#95×C83C2311yescharacteristic
359#95×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
369C23×D83—22no—
370C23×D83—22no—
371C23×D83—22no—
372C23×D83—22no—
373C23×D83—22no—
374C23×D83—22no—
375C23×D83#4114yes—
376C23×D83C2411yescharacteristic
377C23×D83C2411yescharacteristic
378C23×D83C2411yescharacteristic
379C23×D83C2411yescharacteristic
380C2×Dic166—22no—
381C2×Dic166—41no—
382C2×Dic166—41no—
383C2×D332—22no—
384C2×D332—22no—
385C2×D332—22no—
386C2×D332—22no—
387C2×D332—22no—
388C2×D332—22no—
389C2×D332—22no—
390C2×D332—22no—
391C2×D332—22no—
392C2×D332—22no—
393C2×D332—22no—
394C2×D332—22no—
395C2×D332—22no—
396C2×D332—41no—
397C2×D332—41no—
398C2×C22⋊D83—22no—
399C2×C22⋊D83—22no—
400C2×C22⋊D83—22no—
401C2×C22⋊D83—22no—
402C2×C22⋊D83—22no—
403C2×C22⋊D83—22no—
404C22×Dic83—22no—
405C22×Dic83—22no—
406C22×Dic83—22no—
407C22×Dic83—22no—
408C22×Dic83—22no—
409C22×Dic83—41no—
410C22×Dic83—41no—
411C22×Dic83—41no—
412C22×Dic83—41no—
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C2×C4×D83—22no—
426C2×C4×D83—22no—
427C2×C4×D83—22no—
428C2×C4×D83—22no—
429C2×C4×D83—22no—
430C2×C4×D83—22no—
431C2×C4×D83—22no—
432C2×C4×D83—22no—
433C2×C4×D83—22no—
434C2×C4×D83—22no—
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—22no—
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—416no—
462C2×C4×D83—416no—
463C2×C4×D83—416no—
464C2×C4×D83—41no—
465C2×C4×D83—41no—
466C2×C4×D83—41no—
467C2×C4×D83—41no—
468C2×C4×D83#4114yes—
469C2×C4×D83#4114yes—
470C4⋊Dic83—22no—
471C4⋊Dic83—41no—
472C4⋊Dic83—41no—
473C4⋊Dic83—41no—
474Dic83⋊C4—22no—
475Dic83⋊C4—22no—
476Dic83⋊C4—41no—
477Dic83⋊C4—41no—
478Dic83⋊C4—41no—
479Dic83⋊C4—41no—
480Dic83⋊C4—41no—
481Dic83⋊C4—41no—
482Dic83⋊C4—41no—
483Dic83⋊C4—41no—
484Dic83⋊C4—41no—
485Dic83⋊C4—41no—
486C22⋊Dic83—22no—
487C22⋊Dic83—22no—
488(C2×D83)⋊C4—22no—
489(C2×D83)⋊C4—22no—
490(C2×D83)⋊C4—22no—
491(C2×D83)⋊C4—22no—
492(C2×D83)⋊C4—22no—
493(C2×D83)⋊C4—22no—
494(C2×D83)⋊C4—22no—
495(C2×D83)⋊C4—22no—
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—22no—
503(C2×D83)⋊C4—22no—
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—
520C4×Dic83—22no—
521C4×Dic83—41no—
522C4×Dic83—41no—
523C4×Dic83—41no—
524C24×C83C2411yescharacteristic
525C22×C4×C83—22no—
526C22×C4×C83—22no—
527C22×C4×C83—22no—
528C22×C4×C83—22no—
529C22×C4×C83—22no—
530C22×C4×C83—41no—
531C22×C4×C83—41no—
532C22×C4×C83—41no—
533C22×C4×C83—41no—
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
543C22×C4×C83C2411yescharacteristic
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C4⋊C4×C83—22no—
549C4⋊C4×C83—22no—
550C4⋊C4×C83—22no—
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×C83—41no—
558C22⋊C4×C83—22no—
559C22⋊C4×C83—22no—
560C22⋊C4×C83—22no—
561C22⋊C4×C83—22no—
562C42×C83—22no—
563C42×C83—41no—
564C23×C83—21no—
565C23×C83—21no—
566C23×C83—21no—
567C23×C83—21no—
568C23×C83C2×#4112yes—
569C23×C83H(5,𝔽2)12yes—
570C23×C832−1+412yes—
571C23×C83C2511yescharacteristic
572C22×D83—28no—
573C22×D83—28no—
574C22×D83—28no—
575C22×D83—28no—
576C22×D83—28no—
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—28no—
586C22×D83—28no—
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—21no—
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—21no—
599C22×D83—21no—
600C22×D83—21no—
601C22×D83C2×#4112yes—
602C22×D83C2×#4112yes—
603C22×D83C2×#4112yes—
604C22×D83C2×#4112yes—
605C22×D83H(5,𝔽2)12yes—
606C22×D83H(5,𝔽2)12yes—
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—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—44no—
648C2×C4×C83—44no—
649C2×C4×C83—44no—
650C2×C4×C83C2×#4112yes—
651C2×C4×C83C2×#4112yes—
652C22⋊D83—44no—
653C22⋊D83—44no—
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—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—44no—
689C2×Dic83—44no—
690C2×Dic83—44no—
691C2×Dic83C2×#4112yes—
692C2×Dic83C2×#4112yes—
693D332—44no—
694D332—44no—
695D332—44no—
696D332—44no—
697D332—82no—
698C4×D83—44no—
699C4×D83—44no—
700C4×D83—44no—
701C4×D83—44no—
702C4×D83—44no—
703C4×D83—44no—
704C4×D83—44no—
705C4×D83—44no—
706C4×D83—44no—
707C4×D83—44no—
708C4×D83—44no—
709C4×D83—44no—
710C4×D83—82no—
711C4×D83—82no—
712Dic166—82no—
713C22×C83—22no—
714C22×C83—22no—
715C22×C83—22no—
716C22×C83—22no—
717C22×C83—22no—
718C22×C83—22no—
719C22×C83#53914yes—
720C22×C83C22×#4111yescharacteristic
721C22×C83C22×#4111yescharacteristic
722C22×C83C22×#4111yescharacteristic
723C22×C83C2×H(5,𝔽2)11yescharacteristic
724C22×C83C2×H(5,𝔽2)11yescharacteristic
725C22×C83C2×H(5,𝔽2)11yescharacteristic
726C22×C83C2×2−1+411yescharacteristic
727C2×D83—232no—
728C2×D83—22no—
729C2×D83—22no—
730C2×D83—22no—
731C2×D83—22no—
732C2×D83—22no—
733C2×D83—22no—
734C2×D83—22no—
735C2×D83—22no—
736C2×D83—22no—
737C2×D83—22no—
738C2×D83—22no—
739C2×D83—22no—
740C2×D83—41no—
741C2×D83—41no—
742C2×D83—41no—
743C2×D83—41no—
744C2×D83—41no—
745C2×D83—41no—
746C2×D83—41no—
747C2×D83—41no—
748C2×D83—41no—
749C2×D83—41no—
750C2×D83—41no—
751C2×D83—41no—
752C2×D83—41no—
753C2×D83—41no—
754C2×D83#52914yes—
755C2×D83#53814yes—
756C4×C83—22no—
757C4×C83—22no—
758C4×C83—41no—
759C4×C83—41no—
760C4×C83—41no—
761C4×C83—41no—
762C4×C83—41no—
763C4×C83—41no—
764C4×C83—41no—
765C4×C83—41no—
766C4×C83—41no—
767C4×C83—41no—
768C4×C83—41no—
769C4×C83—41no—
770Dic83—22no—
771Dic83—22no—
772Dic83—41no—
773Dic83—41no—
774Dic83—41no—
775Dic83—41no—
776Dic83—41no—
777Dic83—41no—
778Dic83—41no—
779Dic83—41no—
780Dic83—41no—
781Dic83—41no—
782#34997—831nomaximal, Sylow
783C2×C83—24no—
784C2×C83C2×#52911yescharacteristic
785C2×C83C2×#53811yescharacteristic
786C2×C83C2×#53911yescharacteristic
787C2×C83#349011yescharacteristic
788C2×C83#349011yescharacteristic
789C2×C83#349211yescharacteristic
790C2×C83#349211yescharacteristic
791D83—24no—
792D83—24no—
793D83—81no—
794D83—81no—
795#2849—831no—
796#2849—831no—
797#2848—831no—
798#2847—831no—
799#2646—831no—
800#2643—831no—
801#2643—831no—
802#2639—831no—
803#2510—831no—
804#2510—831no—
805#2505—831no—
806#2505D8311yescharacteristic, complemented
807#2493—831no—
808#2493—831no—
809#2488—831no—
810#2488—831no—
811#2450—831no—
812#2450—831no—
813#2444—831no—
814#2444—831no—
815#2425—831no—
816#2425—831no—
817#2419—831no—
818#2419—831no—
819#2329—831no—
820#2325—831no—
821#2318—831no—
822#2318—831no—
823C4×#120—831no—
824C4×#120—831no—
825C22×#95—831no—
826C83#3499711yescharacteristic, complemented, Sylow
827C24×C4—831no—
828C24×C4—831no—
829C24×C4—831no—
830C2×#123—831no—
831C2×#123—831no—
832C2×#123—831no—
833C2×#123—831no—
834C2×C22⋊Q8—831no—
835C2×C22⋊Q8—831no—
836C2×C22⋊Q8—831no—
837C2×#121—831no—
838C2×#121—831no—
839C2×#121—831no—
840C2×#120—831no—
841C2×#120—831no—
842C2×C4×D4—831no—
843C2×C4×D4—831no—
844C2×C4×D4—831no—
845C2×C4×D4—831no—
846C2×C4×D4—831no—
847C2×C4×D4—831no—
848#401—831no—
849#401—831no—
850#400—831no—
851#400—831no—
852#400—831no—
853#400—831no—
854#400—831no—
855#400—831no—
856#400—831no—
857#400—831no—
858#400—831no—
859#400C2×D8311yescharacteristic, complemented
860#400C2×D8311yescharacteristic, complemented
861#400C2×D8311yescharacteristic, complemented
862#398—831no—
863#398—831no—
864#398—831no—
865#398C2×D8311yescharacteristic, complemented
866#397—831no—
867#397—831no—
868#397—831no—
869#397—831no—
870#397—831no—
871#397—831no—
872#397—831no—
873#397—831no—
874#396—831no—
875#396—831no—
876#394—831no—
877#394—831no—
878#393—831no—
879#393—831no—
880#391—831no—
881#391—831no—
882#389—831no—
883#389C2×D8311yescharacteristic, complemented
884#388—831no—
885#388—831no—
886#388—831no—
887#388—831no—
888#388—831no—
889#388—831no—
890#387—831no—
891#387—831no—
892#387—831no—
893#387—831no—
894#387—831no—
895#387—831no—
896#387—831no—
897#387—831no—
898#387C2×D8311yescharacteristic, complemented
899#387C2×D8311yescharacteristic, complemented
900#386—831no—
901#386—831no—
902#386—831no—
903#386—831no—
904#386—831no—
905#386—831no—
906#386—831no—
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#386—831no—
921#386—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#385—831no—
933#385—831no—
934#385—831no—
935#385—831no—
936#385—831no—
937#385—831no—
938#385—831no—
939#385—831no—
940#385C2×D8311yescharacteristic
941#385C2×D8311yescharacteristic
942#385C2×D8311yescharacteristic
943#385C2×D8311yescharacteristic
944#383—831no—
945#383—831no—
946#382—831no—
947#382C2×D8311yescharacteristic, complemented
948#381—831no—
949#381—831no—
950#381—831no—
951#381—831no—
952#381—831no—
953#381—831no—
954#380—831no—
955#380—831no—
956#380—831no—
957#380—831no—
958#380—831no—
959#380—831no—
960#380—831no—
961#380C2×D8311yescharacteristic
962#379—831no—
963#379—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
970C2×#95—831no—
971C2×#95—831no—
972C2×#95—831no—
973C2×#95—831no—
974C2×#95—831no—
975C2×#95—831no—
976C2×#95—831no—
977C2×#95—831no—
978C2×#95—831no—
979C2×#95—831no—
980C2×#95—831no—
981C2×#95C2×D8311yescharacteristic
982C25—831no—
983C22×Q8—831no—
984C22×D4—831no—
985C22×D4—831no—
986C22×D4—831no—
987C22×D4—831no—
988C22×D4—831no—
989C22×D4—831no—
990C22×D4—831no—
991C23×C4—3322no—
992C23×C4—3322no—
993C23×C4—3322no—
994C23×C4—3322no—
995C23×C4—3322no—
996C23×C4—3322no—
997C23×C4—831no—
998C23×C4—831no—
999C23×C4—831no—
1000C23×C4—831no—
1001C23×C4—831no—
1002C23×C4—831no—
1003C23×C4—831no—
1004C23×C4—831no—
1005C23×C4—831no—
1006C23×C4—831no—
1007C23×C4—831no—
1008C23×C4—831no—
1009C23×C4—831no—
1010C23×C4—831no—
1011C23×C4—831no—
1012C23×C4—831no—
1013C23×C4—831no—
1014C23×C4—1664no—
1015C23×C4—1664no—
1016C23×C4—1664no—
1017C23×C4C22×D8311yescharacteristic
1018C23×C4C22×D8311yescharacteristic
1019C23×C4C22×D8311yescharacteristic
1020#123—3322no—
1021#123—3322no—
1022#123—3322no—
1023#123—3322no—
1024C22⋊Q8—3322no—
1025C22⋊Q8—3322no—
1026C22⋊Q8—1664no—
1027#121—3322no—
1028#121—3322no—
1029#121—1664no—
1030#120—1664no—
1031#120—1664no—
1032C4×D4—3322no—
1033C4×D4—3322no—
1034C4×D4—3322no—
1035C4×D4—3322no—
1036C4×D4—1664no—
1037C4×D4—1664no—
1038C2×C4⋊C4—831no—
1039C2×C4⋊C4—831no—
1040C2×C4⋊C4—831no—
1041C2×C4⋊C4—831no—
1042C2×C4⋊C4—831no—
1043C2×C4⋊C4—831no—
1044C2×C4⋊C4—831no—
1045C2×C4⋊C4—831no—
1046C2×C4⋊C4—831no—
1047C2×C4⋊C4—831no—
1048C2×C4⋊C4—831no—
1049C2×C4⋊C4—831no—
1050C2×C4⋊C4—831no—
1051C2×C4⋊C4—831no—
1052C2×C4⋊C4—831no—
1053C2×C4⋊C4—831no—
1054C2×C4⋊C4C22×D8311yescharacteristic
1055C2×C4⋊C4C22×D8311yescharacteristic
1056C2×C4⋊C4C22×D8311yescharacteristic
1057C2×C4⋊C4C22×D8311yescharacteristic
1058C2×C4⋊C4C22×D8311yescharacteristic
1059C2×C4⋊C4C22×D8311yescharacteristic
1060C2×C4⋊C4C22×D8311yescharacteristic
1061C2×C4⋊C4C22×D8311yescharacteristic
1062C2×C4⋊C4C22×D8311yescharacteristic
1063C2×C4⋊C4C22×D8311yescharacteristic
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—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—831no—
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⋊C4—831no—
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4C22×D8311yescharacteristic
1099C2×C22⋊C4C22×D8311yescharacteristic
1100C2×C22⋊C4C22×D8311yescharacteristic
1101C2×C22⋊C4C22×D8311yescharacteristic
1102C2×C42—831no—
1103C2×C42—831no—
1104C2×C42—831no—
1105C2×C42—831no—
1106C2×C42C22×D8311yescharacteristic
1107C2×C42C22×D8311yescharacteristic
1108#95—831no—
1109#95—831no—
1110#95—831no—
1111#95—831no—
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
1156#95C22×D8311yescharacteristic
1157#95C22×D8311yescharacteristic
1158#95C22×D8311yescharacteristic
1159#95C22×D8311yescharacteristic
1160#95C22×D8311yescharacteristic
1161#95C22×D8311yescharacteristic
1162#95C22×D8311yescharacteristic
1163#95C22×D8311yescharacteristic
1164C24—831no—
1165C24—831no—
1166C24—834no—
1167C24—831no—
1168C24—831no—
1169C24—1662no—
1170C24—1662no—
1171C24—1662no—
1172C24—1662no—
1173C24—1662no—
1174C24—1662no—
1175C24C23×D8311yescharacteristic
1176C2×Q8—3321no—
1177C2×Q8—3321no—
1178C2×Q8—1662no—
1179C2×D4—3321no—
1180C2×D4—3321no—
1181C2×D4—1662no—
1182C2×D4—1662no—
1183C2×D4—1662no—
1184C2×D4—1662no—
1185C2×D4—1662no—
1186C2×D4—1662no—
1187C2×D4—1662no—
1188C2×D4—1662no—
1189C2×D4—1662no—
1190C2×D4—1662no—
1191C2×D4—1662no—
1192C2×D4—1662no—
1193C2×D4—1662no—
1194C2×D4—1662no—
1195C2×D4—1662no—
1196C2×D4—1662no—
1197C2×D4—1662no—
1198C2×D4—1662no—
1199C2×D4—1662no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
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—3321no—
1219C22×C4—3321no—
1220C22×C4—3321no—
1221C22×C4—3321no—
1222C22×C4—3321no—
1223C22×C4—3321no—
1224C22×C4—3321no—
1225C22×C4—3321no—
1226C22×C4—3321no—
1227C22×C4—3321no—
1228C22×C4—3321no—
1229C22×C4—33216no—
1230C22×C4—33216no—
1231C22×C4—33216no—
1232C22×C4—3321no—
1233C22×C4—3321no—
1234C22×C4—3321no—
1235C22×C4—3321no—
1236C22×C4—834no—
1237C22×C4—834no—
1238C22×C4—831no—
1239C22×C4—831no—
1240C22×C4—831no—
1241C22×C4—831no—
1242C22×C4—831no—
1243C22×C4—831no—
1244C22×C4—831no—
1245C22×C4—831no—
1246C22×C4—831no—
1247C22×C4—831no—
1248C22×C4—831no—
1249C22×C4—831no—
1250C22×C4—1662no—
1251C22×C4—1662no—
1252C22×C4—1662no—
1253C22×C4—1662no—
1254C22×C4—1662no—
1255C22×C4—1662no—
1256C22×C4—1662no—
1257C22×C4—1662no—
1258C22×C4—1662no—
1259C22×C4—1662no—
1260C22×C4—1662no—
1261C22×C4—1662no—
1262C22×C4—1662no—
1263C22×C4—1662no—
1264C22×C4—1662no—
1265C22×C4—1662no—
1266C22×C4—1662no—
1267C22×C4—1662no—
1268C22×C4—1662no—
1269C22×C4—1662no—
1270C22×C4—1662no—
1271C22×C4—1662no—
1272C22×C4—1662no—
1273C22×C4—1662no—
1274C22×C4—1662no—
1275C22×C4C23×D8311yescharacteristic
1276C22×C4C23×D8311yescharacteristic
1277C22×C4C23×D8311yescharacteristic
1278C22×C4C23×D8311yescharacteristic
1279C22×C4C23×D8311yescharacteristic
1280C22×C4C23×D8311yescharacteristic
1281C22×C4C23×D8311yescharacteristic
1282C22×C4C23×D8311yescharacteristic
1283C22×C4C23×D8311yescharacteristic
1284C22×C4C23×D8311yescharacteristic
1285C22×C4C23×D8311yescharacteristic
1286C22×C4C23×D8311yescharacteristic
1287C22×C4C23×D8311yescharacteristic
1288C22×C4C23×D8311yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—3321no—
1300C4⋊C4—3321no—
1301C4⋊C4—3321no—
1302C4⋊C4—3321no—
1303C4⋊C4—3321no—
1304C4⋊C4—3321no—
1305C4⋊C4—3321no—
1306C4⋊C4—3321no—
1307C4⋊C4—3321no—
1308C4⋊C4—3321no—
1309C4⋊C4—3321no—
1310C4⋊C4—3321no—
1311C4⋊C4—3321no—
1312C4⋊C4—1662no—
1313C4⋊C4—1662no—
1314C4⋊C4—1662no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—3321no—
1320C22⋊C4—3321no—
1321C22⋊C4—3321no—
1322C22⋊C4—3321no—
1323C22⋊C4—3321no—
1324C22⋊C4—3321no—
1325C22⋊C4—3321no—
1326C22⋊C4—3321no—
1327C22⋊C4—3321no—
1328C22⋊C4—3321no—
1329C22⋊C4—3321no—
1330C22⋊C4—3321no—
1331C22⋊C4—3321no—
1332C22⋊C4—3321no—
1333C22⋊C4—3321no—
1334C22⋊C4—3321no—
1335C22⋊C4—1662no—
1336C22⋊C4—1662no—
1337C22⋊C4—1662no—
1338C22⋊C4—1662no—
1339C22⋊C4—1662no—
1340C22⋊C4—1662no—
1341C22⋊C4—1662no—
1342C22⋊C4—1662no—
1343C22⋊C4—1662no—
1344C22⋊C4—1662no—
1345C22⋊C4—1662no—
1346C22⋊C4—1662no—
1347C22⋊C4—1662no—
1348C22⋊C4—1662no—
1349C22⋊C4—1662no—
1350C22⋊C4—1662no—
1351C22⋊C4—1662no—
1352C22⋊C4—1662no—
1353C42—22no—
1354C42—41no—
1355C42—3321no—
1356C42—3321no—
1357C42—3321no—
1358C42—1662no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—832no—
1364C23—832no—
1365C23—832no—
1366C23—832no—
1367C23—832no—
1368C23—832no—
1369C23—1668no—
1370C23—1668no—
1371C23—1668no—
1372C23—1668no—
1373C23—1668no—
1374C23—1668no—
1375C23—1661no—
1376C23—1661no—
1377C23—1661no—
1378C23—1661no—
1379C23—1661no—
1380C23—1661no—
1381C23—1661no—
1382C23—1661no—
1383C23—1661no—
1384C23—1661no—
1385C23—1661no—
1386C23—1661no—
1387C23—1661no—
1388C23—1661no—
1389C23—1661no—
1390C23—1661no—
1391C23—1661no—
1392C23—1661no—
1393C23—1661no—
1394C23—1661no—
1395C23—1661no—
1396C23—1661no—
1397C23—1668no—
1398C23#41×D8312yes—
1399C23#1458183812yes—
1400C23#1458184012yes—
1401C23C24×D8311yescharacteristic
1402Q8—6642no—
1403D4—3324no—
1404D4—3324no—
1405D4—3324no—
1406D4—3324no—
1407D4—3324no—
1408D4—3324no—
1409D4—6642no—
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—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—44no—
1453C2×C4—3324no—
1454C2×C4—3324no—
1455C2×C4—3324no—
1456C2×C4—3324no—
1457C2×C4—3324no—
1458C2×C4—3324no—
1459C2×C4—3324no—
1460C2×C4—3324no—
1461C2×C4—3324no—
1462C2×C4—3324no—
1463C2×C4—3324no—
1464C2×C4—3324no—
1465C2×C4—3324no—
1466C2×C4—3324no—
1467C2×C4—3324no—
1468C2×C4—832no—
1469C2×C4—832no—
1470C2×C4—6642no—
1471C2×C4—6642no—
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×C4—1661no—
1484C2×C4—1661no—
1485C2×C4—1661no—
1486C2×C4—1661no—
1487C2×C4—1661no—
1488C2×C4—1661no—
1489C2×C4—1661no—
1490C2×C4—1661no—
1491C2×C4—1661no—
1492C2×C4—1661no—
1493C2×C4—1661no—
1494C2×C4—1661no—
1495C2×C4—1661no—
1496C2×C4—1661no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4—1661no—
1500C2×C4—1661no—
1501C2×C4—1661no—
1502C2×C4—1661no—
1503C2×C4—1661no—
1504C2×C4—1661no—
1505C2×C4—1661no—
1506C2×C4#41×D8312yes—
1507C2×C4#41×D8312yes—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—3321no—
1515C22—3321no—
1516C22—3321no—
1517C22—3321no—
1518C22—3321no—
1519C22—3321no—
1520C22—3321no—
1521C22—3321no—
1522C22—3321no—
1523C22—3321no—
1524C22—3321no—
1525C22—3321no—
1526C22—3321no—
1527C22—3321no—
1528C22—834no—
1529C22—834no—
1530C22—16632no—
1531C22—1662no—
1532C22—1662no—
1533C22—1662no—
1534C22—1662no—
1535C22—1662no—
1536C22—1662no—
1537C22—1662no—
1538C22—1662no—
1539C22—1662no—
1540C22—1662no—
1541C22—1662no—
1542C22—1662no—
1543C22#1912829914yes—
1544C22C2×#41×D8311yescharacteristic
1545C22C2×#41×D8311yescharacteristic
1546C22C2×#41×D8311yescharacteristic
1547C22H(5,𝔽2)×D8311yescharacteristic
1548C22H(5,𝔽2)×D8311yescharacteristic
1549C22C2×#1458183811yescharacteristic
1550C22C2×#1458184011yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—3321no—
1566C4—3321no—
1567C4—3321no—
1568C4—3321no—
1569C4—3321no—
1570C4—3321no—
1571C4—3321no—
1572C4—3321no—
1573C4—3321no—
1574C4—3321no—
1575C4—1662no—
1576C4—1662no—
1577C2—24no—
1578C2—6641no—
1579C2—6641no—
1580C2—1664no—
1581C2—1664no—
1582C2#529×D8311yescharacteristic
1583C2#538×D8311yescharacteristic
1584C2C2×#1912829911yescharacteristic
1585C2#2492114711yescharacteristic
1586C2#2492114711yescharacteristic
1587C2#2492117111yescharacteristic
1588C2#2492117111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2505C2
prime radical#24915746C2
hypercenter#2505D83
hypocenterC83#34997
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2505

Complements

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

NH ≅ G/Ntype
1. #24915758C2semidirect
2. #24915758C2semidirect
3. #24915749C2semidirect
5. #24913432C2semidirect
6. #24913417C2semidirect
7. #24913417C2semidirect
8. #24913395C2semidirect
9. #24912029C2semidirect
10. #24912017C2semidirect
11. #24911960C2semidirect
12. #24911849C2semidirect
13. #24911847C2semidirect
14. #24911786C2semidirect
15. #24911784C2semidirect
16. #24911289C2semidirect
17. #24911285C2semidirect
18. #24911217C2semidirect
19. #24911213C2semidirect
20. #24911021C2semidirect
21. #24911007C2semidirect
22. #24910945C2semidirect
23. #24910943C2semidirect
24. #24910197C2semidirect
25. #24910162C2semidirect
26. #24910099C2semidirect
27. #24910095C2semidirect
28. C4×#14581762C2semidirect
29. #24909964C2semidirect
30. C2×#95×D83C2semidirect
31. C83×#2505C2semidirect
53. C83⋊#401C22semidirect
54. C83⋊#401C22semidirect
55. #19127643C22semidirect
56. #19127643C22semidirect
57. #19127642C22semidirect
58. #19127642C22semidirect
59. #19127642C22semidirect
60. #19127641C22semidirect
61. #19127641C22semidirect
62. #19127639C22semidirect
63. #19127639C22semidirect
64. #19127634C22semidirect
65. #19127632C22semidirect
66. #19127631C22semidirect
67. #19127630C22semidirect
68. #19127630C22semidirect
69. #19127630C22semidirect
70. #19127630C22semidirect
71. #19127630C22semidirect
72. #19127630C22semidirect
73. #19127627C22semidirect
74. #19127627C22semidirect
75. #19127623C22semidirect
76. #19127623C22semidirect
77. #19127619C22semidirect
78. #19127618C22semidirect
79. #19127614C22semidirect
80. #19127614C22semidirect
81. #19127606C22semidirect
82. #19127605C22semidirect
83. #19127596C22semidirect
84. #19127592C22semidirect
85. #19127592C22semidirect
86. #19127591C22semidirect
87. #19127591C22semidirect
88. #19127590C22semidirect
89. #19127590C22semidirect
90. #19127588C22semidirect
91. #19127587C22semidirect
92. #19127587C22semidirect
93. #19127587C22semidirect
94. #19127586C22semidirect
95. #19127586C22semidirect
96. #19127585C22semidirect
97. #19127582C22semidirect
113. #19127579C22semidirect
114. #19127579C22semidirect
125. #19127575C22semidirect
137. #19127572C22semidirect
138. #19127569C22semidirect
139. #19127568C22semidirect
140. #19127565C22semidirect
145. #19127563C22semidirect
146. #19127563C22semidirect
149. #19127560C22semidirect
153. #19127558C22semidirect
172. #400×C83C22semidirect
173. #400×C83C22semidirect
174. #400×C83C22semidirect
175. #398×C83C22semidirect
176. #389×C83C22semidirect
177. #387×C83C22semidirect
178. #387×C83C22semidirect
183. #382×C83C22semidirect
806. #2505D83semidirect
826. C83#34997semidirect
859. #400C2×D83semidirect
860. #400C2×D83semidirect
861. #400C2×D83semidirect
865. #398C2×D83semidirect
883. #389C2×D83semidirect
898. #387C2×D83semidirect
899. #387C2×D83semidirect
947. #382C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157582
#249157492
#249157462
#249134322
#249134172
#249133952
#249120292
#249120172
#249119602
#249118492
#249118472
#249117862
#249117842
#249112892
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