Finite Group Databasebeta

← #35613338

Subgroups — #35613338

Order 21248.

1950 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#24915780C211yesmaximal, characteristic, complemented
2#24915760C211yesmaximal, characteristic, complemented
3#24915443C211yesmaximal, characteristic, complemented
4#24915399C211yesmaximal, characteristic, complemented
5#24915396C211yesmaximal, characteristic, complemented
6#24915181C211yesmaximal, characteristic, complemented
7#24915125C211yesmaximal, characteristic, complemented
8#24915098C211yesmaximal, characteristic, complemented
9#24915083C211yesmaximal, characteristic, complemented
10#24915034C211yesmaximal, characteristic, complemented
11#24914833C211yesmaximal, characteristic, complemented
12#24914784C211yesmaximal, characteristic, complemented
13#24914784C211yesmaximal, characteristic, complemented
14#24914710C211yesmaximal, characteristic, complemented
15#24914488C211yesmaximal, characteristic, complemented
16#24914281C211yesmaximal, characteristic, complemented
17#24914254C211yesmaximal, characteristic, complemented
18#24913871C211yesmaximal, characteristic, complemented
19#24913239C211yesmaximal, characteristic, complemented
20#24913201C211yesmaximal, characteristic, complemented
21#24912029C211yesmaximal, characteristic, complemented
22#24911586C211yesmaximal, characteristic, complemented
23#24911211C211yesmaximal, characteristic, complemented
24#24911133C211yesmaximal, characteristic, complemented
25#24911075C211yesmaximal, characteristic, complemented
26#24911003C211yesmaximal, characteristic, complemented
27#24910782C211yesmaximal, characteristic, complemented
28#24910135C211yesmaximal, characteristic, complemented
29#24910051C211yesmaximal, characteristic, complemented
30C2×#19127594C211yesmaximal, characteristic, complemented
31C83×#2411C211yesmaximal, characteristic, complemented
32C22×#13050590C2211yescharacteristic
33C2×#14581787C2211yescharacteristic, complemented
34C2×#14581778C2211yescharacteristic
35C2×#14581778C2211yescharacteristic, complemented
36C2×#14581769C2211yescharacteristic
37C2×#14581764C2211yescharacteristic
38C2×#14581764C2211yescharacteristic
39C2×#14581764C2211yescharacteristic
40C2×#14581761C2211yescharacteristic
41C2×#14581761C2211yescharacteristic
42C2×D4×Dic83C2211yescharacteristic
43C22×C4⋊Dic83C2211yescharacteristic
44C22×C22⋊Dic83C2211yescharacteristic
45C22×C22⋊Dic83C2211yescharacteristic
46C22×C4×Dic83C2211yescharacteristic
47C83⋊#401C2211yescharacteristic, complemented
48#19127641C2211yescharacteristic, complemented
49#19127640C2211yescharacteristic, complemented
50#19127639C2211yescharacteristic, complemented
51#19127634C2211yescharacteristic, complemented
52#19127634C2211yescharacteristic, complemented
53#19127630C2211yescharacteristic, complemented
54#19127629C2211yescharacteristic
55#19127629C2211yescharacteristic
56#19127629C2211yescharacteristic
57#19127628C2211yescharacteristic, complemented
58#19127627C2211yescharacteristic, complemented
59#19127626C2211yescharacteristic
60#19127626C2211yescharacteristic
61#19127626C2211yescharacteristic
62#19127626C2211yescharacteristic
63#19127626C2211yescharacteristic, complemented
64#19127624C2211yescharacteristic
65#19127621C2211yescharacteristic, complemented
66#19127621C2211yescharacteristic, complemented
67#19127618C2211yescharacteristic, complemented
68#19127617C2211yescharacteristic
69#19127617C2211yescharacteristic
70#19127617C2211yescharacteristic
71#19127617C2211yescharacteristic
72#19127617C2211yescharacteristic
73#19127617C2211yescharacteristic
74#19127617C2211yescharacteristic, complemented
75#19127616C2211yescharacteristic
76#19127616C2211yescharacteristic
77#19127616C2211yescharacteristic
78#19127615C2211yescharacteristic
79#19127615C2211yescharacteristic
80#19127615C2211yescharacteristic
81#19127613C2211yescharacteristic
82#19127613C2211yescharacteristic
83#19127613C2211yescharacteristic
84#19127613C2211yescharacteristic, complemented
85#19127610C2211yescharacteristic
86#19127610C2211yescharacteristic
87#19127610C2211yescharacteristic, complemented
88#19127609C2211yescharacteristic
89#19127609C2211yescharacteristic
90#19127609C2211yescharacteristic
91#19127607C2211yescharacteristic, complemented
92#19127607C2211yescharacteristic, complemented
93#19127607C2211yescharacteristic, complemented
94#19127605C2211yescharacteristic, complemented
95#19127603C2211yescharacteristic, complemented
96#19127603C2211yescharacteristic, complemented
97#19127601C2211yescharacteristic
98#19127601C2211yescharacteristic
99#19127601C2211yescharacteristic, complemented
100#19127600C2211yescharacteristic, complemented
101#19127600C2211yescharacteristic, complemented
102#19127599C2211yescharacteristic, complemented
103#19127595C2211yescharacteristic
104#19127594C2211yescharacteristic
105#19127594C2211yescharacteristic
106#19127594C2211yescharacteristic
107#19127594C2211yescharacteristic
108#19127594C2211yescharacteristic
109#19127594C2211yescharacteristic
110#19127594C2211yescharacteristic
111#19127594C2211yescharacteristic
112#19127594C2211yescharacteristic
113#19127594C2211yescharacteristic, complemented
114#19127594C2211yescharacteristic, complemented
115#19127594C2211yescharacteristic, complemented
116#19127593C2211yescharacteristic, complemented
117#19127593C2211yescharacteristic, complemented
118#19127593C2211yescharacteristic, complemented
119#19127591C2211yescharacteristic, complemented
120#19127591C2211yescharacteristic, complemented
121#19127590C2211yescharacteristic, complemented
122#19127590C2211yescharacteristic, complemented
123#19127590C2211yescharacteristic, complemented
124#19127589C2211yescharacteristic
125#19127589C2211yescharacteristic, complemented
126#19127587C2211yescharacteristic, complemented
127#19127587C2211yescharacteristic, complemented
128#19127587C2211yescharacteristic, complemented
129#19127586C2211yescharacteristic, complemented
130#19127585C2211yescharacteristic, complemented
131#19127585C2211yescharacteristic, complemented
132#19127584C2211yescharacteristic, complemented
133#19127582C2211yescharacteristic, complemented
134#19127582C2211yescharacteristic, complemented
135#19127581C2211yescharacteristic
136#19127581C2211yescharacteristic
137#19127580C2211yescharacteristic
138#19127580C2211yescharacteristic
139#19127578C2211yescharacteristic
140#19127578C2211yescharacteristic
141#19127578C2211yescharacteristic
142#19127578C2211yescharacteristic
143#19127578C2211yescharacteristic
144#19127578C2211yescharacteristic
145#19127578C2211yescharacteristic, complemented
146#19127577C2211yescharacteristic
147#19127577C2211yescharacteristic
148#19127577C2211yescharacteristic
149#19127577C2211yescharacteristic
150#19127577C2211yescharacteristic, complemented
151#19127577C2211yescharacteristic, complemented
152#19127576C2211yescharacteristic
153#19127576C2211yescharacteristic
154#19127576C2211yescharacteristic, complemented
155#19127576C2211yescharacteristic, complemented
156#19127573C2211yescharacteristic
157#19127572C2211yescharacteristic, complemented
158#19127572C2211yescharacteristic, complemented
159#19127568C2211yescharacteristic, complemented
160#19127568C2211yescharacteristic, complemented
161#19127565C2211yescharacteristic, complemented
162#19127564C2211yescharacteristic
163#19127562C2211yescharacteristic, complemented
164#19127559C2211yescharacteristic
165#19127558C2211yescharacteristic, complemented
166#19127558C2211yescharacteristic, complemented
167#19127558C2211yescharacteristic, complemented
168#19127558C2211yescharacteristic, complemented
169C22⋊C4×Dic83C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C2×#123×C83C2211yescharacteristic
173C2×#120×C83C2211yescharacteristic
174C2×#117×C83C2211yescharacteristic
175C22×C22⋊C4×C83C2211yescharacteristic
176#396×C83C2211yescharacteristic
177#396×C83C2211yescharacteristic
178#394×C83C2211yescharacteristic
179#394×C83C2211yescharacteristic
180#390×C83C2211yescharacteristic
181#390×C83C2211yescharacteristic
182#388×C83C2211yescharacteristic
183#388×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic
186#379×C83C2211yescharacteristic
187C2×#13050590—24no—
188C2×#13050590—42no—
189C2×#13050590—42no—
190C22×Dic166C2311yescharacteristic
191C22×Dic166C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208#14581787—42no—
209#14581778—42no—
210#14581778—42no—
211#14581769—42no—
212#14581764—42no—
213#14581764—42no—
214#14581764—42no—
215#14581761—42no—
216#14581761—42no—
217D4×Dic83—42no—
218C2×C4⋊Dic83—42no—
219C2×C4⋊Dic83C2311yescharacteristic
220C2×C4⋊Dic83C2311yescharacteristic
221C2×C4⋊Dic83C2311yescharacteristic
222C2×C4⋊Dic83C2311yescharacteristic
223C2×C4⋊Dic83C2311yescharacteristic
224C2×C4⋊Dic83C2311yescharacteristic
225C2×C4⋊Dic83C2311yescharacteristic
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊Dic83C2311yescharacteristic
229C2×Dic83⋊C4C2311yescharacteristic
230C2×Dic83⋊C4C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×C22⋊Dic83—42no—
238C2×C22⋊Dic83—42no—
239C2×C22⋊Dic83C2311yescharacteristic
240C2×C22⋊Dic83C2311yescharacteristic
241C2×C22⋊Dic83C2311yescharacteristic
242C2×C22⋊Dic83C2311yescharacteristic
243C2×C22⋊Dic83C2311yescharacteristic
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
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×C4×Dic83—42no—
277C2×C4×Dic83C2311yescharacteristic
278C2×C4×Dic83C2311yescharacteristic
279C2×C4×Dic83C2311yescharacteristic
280C2×C4×Dic83C2311yescharacteristic
281C2×C4×Dic83C2311yescharacteristic
282C2×C4×Dic83C2311yescharacteristic
283C2×C4×Dic83C2311yescharacteristic
284C83⋊#95C2311yescharacteristic
285C83⋊#95C2311yescharacteristic
286C83⋊#95C2311yescharacteristic
287C83⋊#95C2311yescharacteristic
288C83⋊#95C2311yescharacteristic
289C83⋊#95C2311yescharacteristic
290C83⋊#95C2311yescharacteristic
291C83⋊#95C2311yescharacteristic
292C83⋊#95C2311yescharacteristic
293C83⋊#95C2311yescharacteristic
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
324C25×C83C2311yescharacteristic
325C22×D4×C83C2311yescharacteristic
326C22×D4×C83C2311yescharacteristic
327C22×D4×C83C2311yescharacteristic
328C23×C4×C83C2311yescharacteristic
329C23×C4×C83C2311yescharacteristic
330#123×C83—24no—
331#120×C83—42no—
332#117×C83—42no—
333C2×C4⋊C4×C83C2311yescharacteristic
334C2×C4⋊C4×C83C2311yescharacteristic
335C2×C4⋊C4×C83C2311yescharacteristic
336C2×C4⋊C4×C83C2311yescharacteristic
337C2×C4⋊C4×C83C2311yescharacteristic
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C22⋊C4×C83—24no—
340C2×C22⋊C4×C83C2311yescharacteristic
341C2×C22⋊C4×C83C2311yescharacteristic
342C2×C22⋊C4×C83C2311yescharacteristic
343C2×C22⋊C4×C83C2311yescharacteristic
344C2×C22⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C42×C83C2311yescharacteristic
358C2×C42×C83C2311yescharacteristic
359#95×C83C2311yescharacteristic
360#95×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363C23×D83C2411yescharacteristic
364C23×D83C2411yescharacteristic
365#13050590—416no—
366C2×Dic166—22no—
367C2×Dic166—22no—
368C2×Dic166—41no—
369C2×Dic166—41no—
370C2×Dic166—41no—
371C2×Dic166—41no—
372C2×D332—22no—
373C2×D332—41no—
374C2×D332—41no—
375C2×C22⋊D83—22no—
376C2×C22⋊D83—22no—
377C2×C22⋊D83—22no—
378C2×C22⋊D83—22no—
379C2×C22⋊D83—22no—
380C2×C22⋊D83—22no—
381C2×C22⋊D83—22no—
382C2×C22⋊D83—41no—
383C2×C22⋊D83—41no—
384C2×C22⋊D83—41no—
385C2×C22⋊D83—41no—
386C2×C22⋊D83—41no—
387C2×C22⋊D83—41no—
388C2×C22⋊D83—41no—
389C2×C22⋊D83—41no—
390C2×C22⋊D83—41no—
391C2×C22⋊D83—41no—
392C2×C22⋊D83—41no—
393C2×C22⋊D83—41no—
394C2×C22⋊D83—41no—
395C2×C22⋊D83—41no—
396C2×C22⋊D83—41no—
397C2×C22⋊D83—41no—
398C2×C22⋊D83—41no—
399C22×Dic83—22no—
400C22×Dic83—22no—
401C22×Dic83—22no—
402C22×Dic83—22no—
403C22×Dic83—22no—
404C22×Dic83—41no—
405C22×Dic83—41no—
406C22×Dic83—41no—
407C22×Dic83—41no—
408C22×Dic83—41no—
409C22×Dic83—41no—
410C22×Dic83—41no—
411C22×Dic83—41no—
412C22×Dic83—41no—
413C22×Dic83—41no—
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C2×C4×D83—22no—
429C2×C4×D83—22no—
430C2×C4×D83—41no—
431C2×C4×D83—41no—
432C2×C4×D83—41no—
433C2×C4×D83—41no—
434C4⋊Dic83—41no—
435C4⋊Dic83—41no—
436C4⋊Dic83—41no—
437C4⋊Dic83—41no—
438C4⋊Dic83—41no—
439C4⋊Dic83—41no—
440C4⋊Dic83—41no—
441C4⋊Dic83—41no—
442C4⋊Dic83—41no—
443C4⋊Dic83—41no—
444Dic83⋊C4—22no—
445Dic83⋊C4—41no—
446Dic83⋊C4—41no—
447Dic83⋊C4—41no—
448Dic83⋊C4—41no—
449Dic83⋊C4—41no—
450Dic83⋊C4—41no—
451Dic83⋊C4—41no—
452C22⋊Dic83—22no—
453C22⋊Dic83—22no—
454C22⋊Dic83—22no—
455C22⋊Dic83—22no—
456C22⋊Dic83—41no—
457C22⋊Dic83—41no—
458C22⋊Dic83—41no—
459C22⋊Dic83—41no—
460C22⋊Dic83—41no—
461C22⋊Dic83—41no—
462C22⋊Dic83—41no—
463C22⋊Dic83—41no—
464C22⋊Dic83—41no—
465C22⋊Dic83—41no—
466C22⋊Dic83—41no—
467C22⋊Dic83—41no—
468C22⋊Dic83—41no—
469C22⋊Dic83—41no—
470C22⋊Dic83—41no—
471(C2×D83)⋊C4—22no—
472(C2×D83)⋊C4—41no—
473(C2×D83)⋊C4—41no—
474(C2×D83)⋊C4—41no—
475(C2×D83)⋊C4—41no—
476(C2×D83)⋊C4—41no—
477(C2×D83)⋊C4—41no—
478(C2×D83)⋊C4—41no—
479(C2×D83)⋊C4—41no—
480(C2×D83)⋊C4—41no—
481(C2×D83)⋊C4—41no—
482(C2×D83)⋊C4—41no—
483(C2×D83)⋊C4—41no—
484(C2×D83)⋊C4—41no—
485(C2×D83)⋊C4—41no—
486(C2×D83)⋊C4—41no—
487(C2×D83)⋊C4—41no—
488(C2×D83)⋊C4—41no—
489C4×Dic83—22no—
490C4×Dic83—22no—
491C4×Dic83—41no—
492C4×Dic83—41no—
493C4×Dic83—41no—
494C4×Dic83—41no—
495C4×Dic83—41no—
496C24×C83—22no—
497C24×C83—22no—
498C24×C83—22no—
499C24×C83—41no—
500C24×C83—41no—
501C24×C83—41no—
502C24×C83—41no—
503C24×C83C2411yescharacteristic
504C24×C83C2411yescharacteristic
505C24×C83C2411yescharacteristic
506C24×C83C2411yescharacteristic
507C2×D4×C83—22no—
508C2×D4×C83—22no—
509C2×D4×C83—22no—
510C2×D4×C83—41no—
511C2×D4×C83—41no—
512C2×D4×C83—41no—
513C2×D4×C83—41no—
514C2×D4×C83—41no—
515C2×D4×C83—41no—
516C22×C4×C83—22no—
517C22×C4×C83—22no—
518C22×C4×C83—22no—
519C22×C4×C83—41no—
520C22×C4×C83—41no—
521C22×C4×C83#4114yes—
522C22×C4×C83C2411yescharacteristic
523C22×C4×C83C2411yescharacteristic
524C22×C4×C83C2411yescharacteristic
525C22×C4×C83C2411yescharacteristic
526C22×C4×C83C2411yescharacteristic
527C22×C4×C83C2411yescharacteristic
528C22×C4×C83C2411yescharacteristic
529C22×C4×C83C2411yescharacteristic
530C22×C4×C83C2411yescharacteristic
531C22×C4×C83C2411yescharacteristic
532C22×C4×C83C2411yescharacteristic
533C4⋊C4×C83—22no—
534C4⋊C4×C83—22no—
535C4⋊C4×C83—41no—
536C4⋊C4×C83—41no—
537C4⋊C4×C83—41no—
538C4⋊C4×C83—41no—
539C22⋊C4×C83—22no—
540C22⋊C4×C83—22no—
541C22⋊C4×C83—22no—
542C22⋊C4×C83—22no—
543C22⋊C4×C83—22no—
544C22⋊C4×C83—22no—
545C22⋊C4×C83—22no—
546C22⋊C4×C83—22no—
547C22⋊C4×C83—22no—
548C22⋊C4×C83—41no—
549C22⋊C4×C83—41no—
550C22⋊C4×C83—41no—
551C22⋊C4×C83—41no—
552C22⋊C4×C83—41no—
553C22⋊C4×C83—41no—
554C22⋊C4×C83—41no—
555C22⋊C4×C83—41no—
556C42×C83—41no—
557C42×C83—41no—
558C23×C83—21no—
559C23×C83—21no—
560C23×C83—21no—
561C23×C83—21no—
562C23×C83—21no—
563C23×C83—21no—
564C23×C83—21no—
565C23×C83—21no—
566C23×C83—21no—
567C23×C83—21no—
568C23×C83—21no—
569C23×C83—21no—
570C23×C83—21no—
571C23×C83—21no—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83—21no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
581C23×C83—21no—
582C23×C83—21no—
583C23×C83—44no—
584C23×C83—44no—
585C23×C83—44no—
586C23×C83—82no—
587C23×C83—82no—
588C23×C83—82no—
589C23×C83—82no—
590C23×C83C2×#4112yes—
591C23×C83H(5,𝔽2)12yes—
592C23×C83H(5,𝔽2)12yes—
593C23×C83C2511yescharacteristic
594C22×D83—21no—
595C22×D83—21no—
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—
608D4×C83—44no—
609D4×C83—82no—
610D4×C83—82no—
611C2×C4×C83—28no—
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—44no—
644C2×C4×C83C2×#4112yes—
645C2×C4×C83C2×#4112yes—
646C22⋊D83—44no—
647C22⋊D83—44no—
648C22⋊D83—82no—
649C22⋊D83—82no—
650C22⋊D83—82no—
651C22⋊D83—82no—
652C22⋊D83—82no—
653C22⋊D83—82no—
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—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—44no—
696C2×Dic83—44no—
697C2×Dic83—82no—
698C2×Dic83—82no—
699C2×Dic83—82no—
700C2×Dic83H(5,𝔽2)12yes—
701D332—44no—
702C4×D83—44no—
703C4×D83—44no—
704Dic166—44no—
705Dic166—82no—
706C22×C83—22no—
707C22×C83—22no—
708C22×C83—22no—
709C22×C83—22no—
710C22×C83—22no—
711C22×C83—22no—
712C22×C83—41no—
713C22×C83—41no—
714C22×C83—41no—
715C22×C83—41no—
716C22×C83—41no—
717C22×C83—41no—
718C22×C83—41no—
719C22×C83—41no—
720C22×C83—41no—
721C22×C83—41no—
722C22×C83—41no—
723C22×C83—41no—
724C22×C83—41no—
725C22×C83—41no—
726C22×C83—41no—
727C22×C83—41no—
728C22×C83—41no—
729C22×C83—41no—
730C22×C83—41no—
731C22×C83—41no—
732C22×C83—41no—
733C22×C83—88no—
734C22×C83#53814yes—
735C22×C83C22×#4111yescharacteristic
736C22×C83C2×H(5,𝔽2)11yescharacteristic
737C22×C83C2×H(5,𝔽2)11yescharacteristic
738C22×C83C2×H(5,𝔽2)11yescharacteristic
739C22×C83#58511yescharacteristic
740C22×C83#58511yescharacteristic
741C22×C83#58511yescharacteristic
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—41no—
755C2×D83—41no—
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—
767Dic83—22no—
768Dic83—41no—
769Dic83—41no—
770Dic83—41no—
771Dic83—41no—
772Dic83—41no—
773Dic83—41no—
774Dic83—41no—
775Dic83—41no—
776Dic83—41no—
777Dic83—41no—
778Dic83—41no—
779Dic83—41no—
780Dic83—41no—
781#36795—831nomaximal, Sylow
782C2×C83—24no—
783C2×C83—81no—
784C2×C83—81no—
785C2×C83—81no—
786C2×C83C2×#53811yescharacteristic
787C2×C83#349311yescharacteristic
788C2×C83#350611yescharacteristic
789C2×C83#353411yescharacteristic
790C2×C83#354211yescharacteristic
791C2×C83#354511yescharacteristic
792C2×C83#356011yescharacteristic
793D83—81no—
794D83—81no—
795#2852—831no—
796#2850—831no—
797#2808—831no—
798#2803—831no—
799#2803—831no—
800#2786—831no—
801#2781—831no—
802#2779—831no—
803#2778—831no—
804#2775—831no—
805#2759—831no—
806#2756—831no—
807#2756—831no—
808#2751—831no—
809#2733—831no—
810#2715—831no—
811#2714—831no—
812#2686—831no—
813#2622—831no—
814#2617—831no—
815#2510—831no—
816#2472—831no—
817#2444—831no—
818#2438—831no—
819#2430—831no—
820#2424—831no—
821#2411D8311yescharacteristic, complemented
822#2404—831no—
823#2322—831no—
824#2311—831no—
825C2×#388—831no—
826C83#3679511yescharacteristic, complemented, Sylow
827C22×#41—831no—
828C2×#126—831no—
829C2×#124—831no—
830C2×#124—831no—
831C2×#123C2×D8311yescharacteristic
832C2×C22⋊Q8—831no—
833C2×#121—831no—
834C2×#121—831no—
835C2×#121—831no—
836C2×#120—831no—
837C2×#120—831no—
838C2×#120C2×D8311yescharacteristic
839C2×C4×D4—831no—
840C2×#117C2×D8311yescharacteristic
841C22×C4⋊C4—831no—
842C22×C22⋊C4—831no—
843C22×C22⋊C4—831no—
844C22×C22⋊C4C2×D8311yescharacteristic
845C22×C42—831no—
846#401—831no—
847#400—831no—
848#400—831no—
849#400—831no—
850#398—831no—
851#398—831no—
852#397—831no—
853#397—831no—
854#397—831no—
855#397—831no—
856#397—831no—
857#397—831no—
858#397—831no—
859#397—831no—
860#397—831no—
861#397—831no—
862#397—831no—
863#396—831no—
864#396C2×D8311yescharacteristic
865#396C2×D8311yescharacteristic
866#395—831no—
867#395—831no—
868#394—831no—
869#394—831no—
870#394—831no—
871#394—831no—
872#394—831no—
873#394—831no—
874#394—831no—
875#394—831no—
876#394—831no—
877#394—831no—
878#394—831no—
879#394—831no—
880#394—831no—
881#394—831no—
882#394C2×D8311yescharacteristic
883#394C2×D8311yescharacteristic
884#393—831no—
885#393—831no—
886#393—831no—
887#393—831no—
888#392—831no—
889#392—831no—
890#392—831no—
891#392—831no—
892#392—831no—
893#392—831no—
894#391—831no—
895#391—831no—
896#391—831no—
897#391—831no—
898#390—831no—
899#390—831no—
900#390—831no—
901#390—831no—
902#390—831no—
903#390C2×D8311yescharacteristic
904#390C2×D8311yescharacteristic
905#389—831no—
906#389—831no—
907#389—831no—
908#388—831no—
909#388—831no—
910#388—831no—
911#388—831no—
912#388—831no—
913#388—831no—
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#388C2×D8311yescharacteristic
932#388C2×D8311yescharacteristic
933#387—831no—
934#387—831no—
935#387—831no—
936#387—831no—
937#387—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#386—831no—
943#386—831no—
944#386—831no—
945#386—831no—
946#386—831no—
947#386—831no—
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#386—831no—
953#386—831no—
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386C2×D8311yescharacteristic
960#385—831no—
961#385—831no—
962#385—831no—
963#385—831no—
964#385—831no—
965#385—831no—
966#385—831no—
967#385C2×D8311yescharacteristic
968#383—831no—
969#383—831no—
970#382—831no—
971#381—831no—
972#381—831no—
973#380—831no—
974#380—831no—
975#380—831no—
976#380—831no—
977#380—831no—
978#379C2×D8311yescharacteristic
979C4×C22⋊C4—831no—
980C2×#95—831no—
981C2×#95—831no—
982C25C22×D8311yescharacteristic
983C2×#41—3322no—
984C2×#41—3322no—
985C2×#41—1664no—
986C22×Q8—831no—
987C22×Q8—831no—
988C22×D4—831no—
989C22×D4—831no—
990C22×D4—831no—
991C22×D4—831no—
992C22×D4—831no—
993C22×D4—831no—
994C22×D4—831no—
995C22×D4—831no—
996C22×D4—831no—
997C22×D4C22×D8311yescharacteristic
998C22×D4C22×D8311yescharacteristic
999C22×D4C22×D8311yescharacteristic
1000C23×C4—831no—
1001C23×C4—831no—
1002C23×C4—831no—
1003C23×C4—831no—
1004C23×C4—831no—
1005C23×C4—831no—
1006C23×C4—831no—
1007C23×C4C22×D8311yescharacteristic
1008C23×C4C22×D8311yescharacteristic
1009#126—3322no—
1010#124—3322no—
1011#124—3322no—
1012#123—24no—
1013C22⋊Q8—3322no—
1014#121—3322no—
1015#121—3322no—
1016#121—3322no—
1017#120—42no—
1018#120—3322no—
1019#120—3322no—
1020C4×D4—3322no—
1021#117—42no—
1022C2×C4⋊C4—3322no—
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×C22⋊C4—24no—
1048C2×C22⋊C4—3322no—
1049C2×C22⋊C4—3322no—
1050C2×C22⋊C4—831no—
1051C2×C22⋊C4—831no—
1052C2×C22⋊C4—831no—
1053C2×C22⋊C4—831no—
1054C2×C22⋊C4—831no—
1055C2×C22⋊C4—831no—
1056C2×C22⋊C4—831no—
1057C2×C22⋊C4—831no—
1058C2×C22⋊C4—831no—
1059C2×C22⋊C4—831no—
1060C2×C22⋊C4—831no—
1061C2×C22⋊C4—831no—
1062C2×C22⋊C4—831no—
1063C2×C22⋊C4—831no—
1064C2×C22⋊C4—831no—
1065C2×C22⋊C4—831no—
1066C2×C22⋊C4—831no—
1067C2×C22⋊C4—831no—
1068C2×C22⋊C4—831no—
1069C2×C22⋊C4—831no—
1070C2×C22⋊C4—831no—
1071C2×C22⋊C4—831no—
1072C2×C22⋊C4—831no—
1073C2×C22⋊C4—831no—
1074C2×C22⋊C4—831no—
1075C2×C22⋊C4—831no—
1076C2×C22⋊C4—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⋊C4C22×D8311yescharacteristic
1088C2×C22⋊C4C22×D8311yescharacteristic
1089C2×C22⋊C4C22×D8311yescharacteristic
1090C2×C22⋊C4C22×D8311yescharacteristic
1091C2×C22⋊C4C22×D8311yescharacteristic
1092C2×C22⋊C4C22×D8311yescharacteristic
1093C2×C22⋊C4C22×D8311yescharacteristic
1094C2×C22⋊C4C22×D8311yescharacteristic
1095C2×C22⋊C4C22×D8311yescharacteristic
1096C2×C22⋊C4C22×D8311yescharacteristic
1097C2×C22⋊C4C22×D8311yescharacteristic
1098C2×C22⋊C4C22×D8311yescharacteristic
1099C2×C22⋊C4C22×D8311yescharacteristic
1100C2×C22⋊C4C22×D8311yescharacteristic
1101C2×C22⋊C4C22×D8311yescharacteristic
1102C2×C22⋊C4C22×D8311yescharacteristic
1103C2×C22⋊C4C22×D8311yescharacteristic
1104C2×C42—3322no—
1105C2×C42—831no—
1106C2×C42—831no—
1107C2×C42—831no—
1108C2×C42—831no—
1109C2×C42—831no—
1110C2×C42—831no—
1111C2×C42—831no—
1112C2×C42C22×D8311yescharacteristic
1113C2×C42C22×D8311yescharacteristic
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#95—831no—
1149#95—831no—
1150#95—831no—
1151#95—831no—
1152#95—831no—
1153#95—831no—
1154#95C22×D8311yescharacteristic
1155#95C22×D8311yescharacteristic
1156#95C22×D8311yescharacteristic
1157#95C22×D8311yescharacteristic
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24—831no—
1166C24—831no—
1167C24C23×D8311yescharacteristic
1168C24C23×D8311yescharacteristic
1169C24C23×D8311yescharacteristic
1170C24C23×D8311yescharacteristic
1171#41—33216no—
1172C2×Q8—3321no—
1173C2×Q8—3321no—
1174C2×Q8—3321no—
1175C2×Q8—3321no—
1176C2×Q8—1662no—
1177C2×Q8—1662no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—3321no—
1188C2×D4—3321no—
1189C2×D4—3321no—
1190C2×D4—3321no—
1191C2×D4—3321no—
1192C2×D4—3321no—
1193C2×D4—3321no—
1194C2×D4—3321no—
1195C2×D4—3321no—
1196C2×D4—3321no—
1197C2×D4—3321no—
1198C2×D4—3321no—
1199C2×D4—3321no—
1200C2×D4—3321no—
1201C2×D4—3321no—
1202C2×D4—3321no—
1203C2×D4—3321no—
1204C2×D4—3321no—
1205C2×D4—3321no—
1206C2×D4—1662no—
1207C2×D4—1662no—
1208C2×D4—1662no—
1209C2×D4—1662no—
1210C2×D4—1662no—
1211C2×D4—1662no—
1212C2×D4—1662no—
1213C2×D4—1662no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
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—3321no—
1230C22×C4—3321no—
1231C22×C4—3321no—
1232C22×C4—3321no—
1233C22×C4—831no—
1234C22×C4—831no—
1235C22×C4—831no—
1236C22×C4—831no—
1237C22×C4—831no—
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—1662no—
1248C22×C4—1662no—
1249C22×C4—1662no—
1250C22×C4—1662no—
1251C22×C4—1662no—
1252C22×C4—1662no—
1253C22×C4—1662no—
1254C22×C4#1305058914yes—
1255C22×C4C23×D8311yescharacteristic
1256C22×C4C23×D8311yescharacteristic
1257C22×C4C23×D8311yescharacteristic
1258C22×C4C23×D8311yescharacteristic
1259C22×C4C23×D8311yescharacteristic
1260C22×C4C23×D8311yescharacteristic
1261C22×C4C23×D8311yescharacteristic
1262C22×C4C23×D8311yescharacteristic
1263C22×C4C23×D8311yescharacteristic
1264C22×C4C23×D8311yescharacteristic
1265C22×C4C23×D8311yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—22no—
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—3321no—
1285C4⋊C4—3321no—
1286C4⋊C4—3321no—
1287C4⋊C4—3321no—
1288C4⋊C4—3321no—
1289C4⋊C4—1662no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—3321no—
1308C22⋊C4—3321no—
1309C22⋊C4—3321no—
1310C22⋊C4—3321no—
1311C22⋊C4—3321no—
1312C22⋊C4—3321no—
1313C22⋊C4—3321no—
1314C22⋊C4—3321no—
1315C22⋊C4—3321no—
1316C22⋊C4—3321no—
1317C22⋊C4—3321no—
1318C22⋊C4—3321no—
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—3321no—
1336C22⋊C4—3321no—
1337C22⋊C4—3321no—
1338C22⋊C4—3321no—
1339C22⋊C4—1662no—
1340C22⋊C4—1662no—
1341C22⋊C4—1662no—
1342C22⋊C4—1662no—
1343C22⋊C4—1662no—
1344C42—41no—
1345C42—41no—
1346C42—3321no—
1347C42—3321no—
1348C42—3321no—
1349C42—3321no—
1350C42—3321no—
1351C42—1662no—
1352C42—1662no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23—82no—
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—1661no—
1398C23—1661no—
1399C23C2×#1305058912yes—
1400C23#1458183712yes—
1401C23#1458183812yes—
1402C23C24×D8311yescharacteristic
1403Q8—3324no—
1404Q8—6642no—
1405D4—44no—
1406D4—82no—
1407D4—82no—
1408D4—3324no—
1409D4—3324no—
1410D4—3324no—
1411D4—6642no—
1412D4—6642no—
1413D4—6642no—
1414D4—6642no—
1415D4—6642no—
1416D4—6642no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—28no—
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—44no—
1450C2×C4—3324no—
1451C2×C4—3324no—
1452C2×C4—3324no—
1453C2×C4—3324no—
1454C2×C4—832no—
1455C2×C4—6642no—
1456C2×C4—6642no—
1457C2×C4—6642no—
1458C2×C4—1661no—
1459C2×C4—1661no—
1460C2×C4—1661no—
1461C2×C4—1661no—
1462C2×C4—1661no—
1463C2×C4—1661no—
1464C2×C4—1661no—
1465C2×C4—1661no—
1466C2×C4—1661no—
1467C2×C4—1661no—
1468C2×C4—1661no—
1469C2×C4—1661no—
1470C2×C4—1661no—
1471C2×C4—1661no—
1472C2×C4—1661no—
1473C2×C4—1661no—
1474C2×C4—1661no—
1475C2×C4—1661no—
1476C2×C4—1661no—
1477C2×C4—1661no—
1478C2×C4—1661no—
1479C2×C4—1661no—
1480C2×C4—1661no—
1481C2×C4—1661no—
1482C2×C4—1661no—
1483C2×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×C4C2×#1305058912yes—
1500C2×C4C2×#1305058912yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—88no—
1529C22—3321no—
1530C22—3321no—
1531C22—3321no—
1532C22—3321no—
1533C22—3321no—
1534C22—3321no—
1535C22—3321no—
1536C22—3321no—
1537C22—3321no—
1538C22—3321no—
1539C22—3321no—
1540C22—3321no—
1541C22—3321no—
1542C22—3321no—
1543C22#1912828814yes—
1544C22C22×#1305058911yescharacteristic
1545C22H(5,𝔽2)×D8311yescharacteristic
1546C22C2×#1458183711yescharacteristic
1547C22C2×#1458183811yescharacteristic
1548C22#1912853611yescharacteristic
1549C22#1912853711yescharacteristic
1550C22#1912853711yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—3321no—
1563C4—3321no—
1564C4—3321no—
1565C4—3321no—
1566C4—3321no—
1567C4—3321no—
1568C4—3321no—
1569C4—3321no—
1570C4—3321no—
1571C4—3321no—
1572C4—3321no—
1573C4—3321no—
1574C4—3321no—
1575C4—1662no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—6641no—
1581C2—6641no—
1582C2C2×#1912828811yescharacteristic
1583C2#2492118011yescharacteristic
1584C2#2492131411yescharacteristic
1585C2#2492164811yescharacteristic
1586C2#2492177211yescharacteristic
1587C2#2492181911yescharacteristic
1588C2#2492200711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2411C2
hypercenter#2411D83
hypocenterC83#36795
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2411

Complements

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

NH ≅ G/Ntype
1. #24915780C2semidirect
2. #24915760C2semidirect
3. #24915443C2semidirect
4. #24915399C2semidirect
5. #24915396C2semidirect
6. #24915181C2semidirect
7. #24915125C2semidirect
8. #24915098C2semidirect
9. #24915083C2semidirect
10. #24915034C2semidirect
11. #24914833C2semidirect
12. #24914784C2semidirect
13. #24914784C2semidirect
14. #24914710C2semidirect
15. #24914488C2semidirect
16. #24914281C2semidirect
17. #24914254C2semidirect
18. #24913871C2semidirect
19. #24913239C2semidirect
20. #24913201C2semidirect
21. #24912029C2semidirect
22. #24911586C2semidirect
23. #24911211C2semidirect
24. #24911133C2semidirect
25. #24911075C2semidirect
26. #24911003C2semidirect
27. #24910782C2semidirect
28. #24910135C2semidirect
29. #24910051C2semidirect
30. C2×#19127594C2semidirect
31. C83×#2411C2semidirect
33. C2×#14581787C22semidirect
35. C2×#14581778C22semidirect
47. C83⋊#401C22semidirect
48. #19127641C22semidirect
49. #19127640C22semidirect
50. #19127639C22semidirect
51. #19127634C22semidirect
52. #19127634C22semidirect
53. #19127630C22semidirect
57. #19127628C22semidirect
58. #19127627C22semidirect
63. #19127626C22semidirect
65. #19127621C22semidirect
66. #19127621C22semidirect
67. #19127618C22semidirect
74. #19127617C22semidirect
84. #19127613C22semidirect
87. #19127610C22semidirect
91. #19127607C22semidirect
92. #19127607C22semidirect
93. #19127607C22semidirect
94. #19127605C22semidirect
95. #19127603C22semidirect
96. #19127603C22semidirect
99. #19127601C22semidirect
100. #19127600C22semidirect
101. #19127600C22semidirect
102. #19127599C22semidirect
113. #19127594C22semidirect
114. #19127594C22semidirect
115. #19127594C22semidirect
116. #19127593C22semidirect
117. #19127593C22semidirect
118. #19127593C22semidirect
119. #19127591C22semidirect
120. #19127591C22semidirect
121. #19127590C22semidirect
122. #19127590C22semidirect
123. #19127590C22semidirect
125. #19127589C22semidirect
126. #19127587C22semidirect
127. #19127587C22semidirect
128. #19127587C22semidirect
129. #19127586C22semidirect
130. #19127585C22semidirect
131. #19127585C22semidirect
132. #19127584C22semidirect
133. #19127582C22semidirect
134. #19127582C22semidirect
145. #19127578C22semidirect
150. #19127577C22semidirect
151. #19127577C22semidirect
154. #19127576C22semidirect
155. #19127576C22semidirect
157. #19127572C22semidirect
158. #19127572C22semidirect
159. #19127568C22semidirect
160. #19127568C22semidirect
161. #19127565C22semidirect
163. #19127562C22semidirect
165. #19127558C22semidirect
166. #19127558C22semidirect
167. #19127558C22semidirect
168. #19127558C22semidirect
821. #2411D83semidirect
826. C83#36795semidirect

Maximal subgroups

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

subgroupindex
#249157802
#249157602
#249154432
#249153992
#249153962
#249151812
#249151252
#249150982
#249150832
#249150342
#249148332
#249147842
#249147102
#249144882
#249142812
#249142542
#249138712
#249132392
#249132012
#249120292
#249115862
#249112112
#249111332
#249110752
#249110032
#249107822
#249101352
#249100512
C2×#191275942
C83×#24112
#3679583