Finite Group Databasebeta

← #35577660

Subgroups — #35577660

Order 21248.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915800C211yesmaximal, characteristic, complemented
2#24915792C211yesmaximal, characteristic
3#24915769C211yesmaximal, characteristic, complemented
4#24915760C211yesmaximal, characteristic
5#24913419C211yesmaximal, characteristic, complemented
6#24913418C211yesmaximal, characteristic, complemented
7#24913243C211yesmaximal, characteristic, complemented
8#24913002C211yesmaximal, characteristic, complemented
9#24913000C211yesmaximal, characteristic, complemented
10#24912972C211yesmaximal, characteristic, complemented
11#24912970C211yesmaximal, characteristic, complemented
12#24912785C211yesmaximal, characteristic, complemented
13#24912783C211yesmaximal, characteristic, complemented
14#24912755C211yesmaximal, characteristic, complemented
15#24912753C211yesmaximal, characteristic, complemented
16#24912066C211yesmaximal, characteristic, complemented
17#24912055C211yesmaximal, characteristic, complemented
18#24912007C211yesmaximal, characteristic, complemented
19#24911996C211yesmaximal, characteristic, complemented
20#24911330C211yesmaximal, characteristic, complemented
21#24911319C211yesmaximal, characteristic, complemented
22#24911256C211yesmaximal, characteristic, complemented
23#24911245C211yesmaximal, characteristic, complemented
24#24910135C211yesmaximal, characteristic, complemented
25#24910129C211yesmaximal, characteristic, complemented
26#24910091C211yesmaximal, characteristic, complemented
27#24910089C211yesmaximal, characteristic, complemented
28#24909995C211yesmaximal, characteristic, complemented
29#24909973C211yesmaximal, characteristic
30C2×C4⋊C4×Dic83C211yesmaximal, characteristic, complemented
31C83×#2623C211yesmaximal, characteristic, complemented
32C2×#14581782C2211yescharacteristic
33C2×#14581778C2211yescharacteristic
34C2×#14581775C2211yescharacteristic
35C2×#14581769C2211yescharacteristic
36C2×#14581764C2211yescharacteristic
37C2×#14581757C2211yescharacteristic
38C2×D4×Dic83C2211yescharacteristic
39C2×(C22⋊D83)⋊C4C2211yescharacteristic
40C2×(C22⋊D83)⋊C4C2211yescharacteristic
41C22×C4⋊Dic83C2211yescharacteristic
42C22×C4×Dic83C2211yescharacteristic
43C22×C4×Dic83C2211yescharacteristic
44C22×C4×Dic83C2211yescharacteristic
45C83⋊#401C2211yescharacteristic
46C83⋊#401C2211yescharacteristic
47#19127643C2211yescharacteristic
48#19127643C2211yescharacteristic
49#19127642C2211yescharacteristic
50#19127641C2211yescharacteristic
51#19127640C2211yescharacteristic
52#19127639C2211yescharacteristic
53#19127639C2211yescharacteristic
54#19127639C2211yescharacteristic
55#19127636C2211yescharacteristic
56#19127636C2211yescharacteristic
57#19127632C2211yescharacteristic
58#19127632C2211yescharacteristic
59#19127630C2211yescharacteristic
60#19127629C2211yescharacteristic
61#19127629C2211yescharacteristic
62#19127628C2211yescharacteristic
63#19127627C2211yescharacteristic
64#19127627C2211yescharacteristic
65#19127627C2211yescharacteristic
66#19127626C2211yescharacteristic
67#19127624C2211yescharacteristic
68#19127623C2211yescharacteristic
69#19127605C2211yescharacteristic
70#19127605C2211yescharacteristic
71#19127605C2211yescharacteristic
72#19127605C2211yescharacteristic
73#19127601C2211yescharacteristic
74#19127601C2211yescharacteristic
75#19127601C2211yescharacteristic
76#19127601C2211yescharacteristic
77#19127600C2211yescharacteristic
78#19127600C2211yescharacteristic
79#19127598C2211yescharacteristic
80#19127598C2211yescharacteristic
81#19127598C2211yescharacteristic
82#19127598C2211yescharacteristic
83#19127598C2211yescharacteristic
84#19127598C2211yescharacteristic
85#19127596C2211yescharacteristic
86#19127596C2211yescharacteristic
87#19127596C2211yescharacteristic
88#19127596C2211yescharacteristic
89#19127595C2211yescharacteristic
90#19127595C2211yescharacteristic
91#19127595C2211yescharacteristic
92#19127594C2211yescharacteristic
93#19127594C2211yescharacteristic
94#19127594C2211yescharacteristic
95#19127593C2211yescharacteristic
96#19127593C2211yescharacteristic
97#19127593C2211yescharacteristic
98#19127593C2211yescharacteristic
99#19127593C2211yescharacteristic
100#19127591C2211yescharacteristic
101#19127591C2211yescharacteristic
102#19127591C2211yescharacteristic
103#19127590C2211yescharacteristic
104#19127589C2211yescharacteristic
105#19127589C2211yescharacteristic
106#19127589C2211yescharacteristic
107#19127588C2211yescharacteristic
108#19127588C2211yescharacteristic
109#19127588C2211yescharacteristic
110#19127588C2211yescharacteristic
111#19127588C2211yescharacteristic
112#19127587C2211yescharacteristic
113#19127587C2211yescharacteristic
114#19127587C2211yescharacteristic
115#19127586C2211yescharacteristic
116#19127586C2211yescharacteristic
117#19127586C2211yescharacteristic
118#19127584C2211yescharacteristic
119#19127584C2211yescharacteristic
120#19127584C2211yescharacteristic
121#19127583C2211yescharacteristic
122#19127582C2211yescharacteristic
123#19127582C2211yescharacteristic
124#19127582C2211yescharacteristic
125#19127581C2211yescharacteristic
126#19127581C2211yescharacteristic
127#19127580C2211yescharacteristic
128#19127580C2211yescharacteristic
129#19127578C2211yescharacteristic
130#19127578C2211yescharacteristic
131#19127576C2211yescharacteristic
132#19127576C2211yescharacteristic
133#19127576C2211yescharacteristic
134#19127576C2211yescharacteristic
135#19127575C2211yescharacteristic
136#19127575C2211yescharacteristic
137#19127574C2211yescharacteristic
138#19127574C2211yescharacteristic
139#19127573C2211yescharacteristic
140#19127573C2211yescharacteristic
141#19127568C2211yescharacteristic
142#19127568C2211yescharacteristic
143#19127566C2211yescharacteristic
144#19127565C2211yescharacteristic
145#19127565C2211yescharacteristic
146#19127565C2211yescharacteristic
147#19127564C2211yescharacteristic
148#19127563C2211yescharacteristic
149#19127562C2211yescharacteristic
150#19127559C2211yescharacteristic
151#19127559C2211yescharacteristic
152#19127559C2211yescharacteristic
153#19127558C2211yescharacteristic
154C4⋊C4×Dic83C2211yescharacteristic
155C4⋊C4×Dic83C2211yescharacteristic
156C4⋊C4×Dic83C2211yescharacteristic
157C4⋊C4×Dic83C2211yescharacteristic
158C4⋊C4×Dic83C2211yescharacteristic
159C4⋊C4×Dic83C2211yescharacteristic
160C4⋊C4×Dic83C2211yescharacteristic
161C4⋊C4×Dic83C2211yescharacteristic
162C4⋊C4×Dic83C2211yescharacteristic
163#19127552C2211yescharacteristic
164#19127552C2211yescharacteristic
165#19127552C2211yescharacteristic
166C22⋊C4×Dic83C2211yescharacteristic
167C22⋊C4×Dic83C2211yescharacteristic
168C22⋊C4×Dic83C2211yescharacteristic
169#19127548C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C2×#123×C83C2211yescharacteristic
173C22×C4⋊C4×C83C2211yescharacteristic
174#400×C83C2211yescharacteristic
175#400×C83C2211yescharacteristic
176#399×C83C2211yescharacteristic
177#399×C83C2211yescharacteristic
178#398×C83C2211yescharacteristic
179#398×C83C2211yescharacteristic
180#397×C83C2211yescharacteristic
181#397×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#385×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic
186#381×C83C2211yescharacteristic
187C22×Dic166C2311yescharacteristic
188C22×C22⋊D83C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C23×Dic83C2311yescharacteristic
191C23×Dic83C2311yescharacteristic
192C23×Dic83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C22×C4×D83C2311yescharacteristic
196#14581782—42no—
197#14581778—42no—
198#14581775—24no—
199#14581769—24no—
200#14581764—24no—
201#14581757—42no—
202D4×Dic83—24no—
203(C22⋊D83)⋊C4—24no—
204(C22⋊D83)⋊C4—42no—
205C2×C4⋊Dic83—24no—
206C2×C4⋊Dic83C2311yescharacteristic
207C2×C4⋊Dic83C2311yescharacteristic
208C2×C4⋊Dic83C2311yescharacteristic
209C2×C4⋊Dic83C2311yescharacteristic
210C2×C4⋊Dic83C2311yescharacteristic
211C2×C4⋊Dic83C2311yescharacteristic
212C2×C4⋊Dic83C2311yescharacteristic
213C2×C4⋊Dic83C2311yescharacteristic
214C2×C4⋊Dic83C2311yescharacteristic
215C2×C4⋊Dic83C2311yescharacteristic
216C2×Dic83⋊C4C2311yescharacteristic
217C2×Dic83⋊C4C2311yescharacteristic
218C2×Dic83⋊C4C2311yescharacteristic
219C2×Dic83⋊C4C2311yescharacteristic
220C2×Dic83⋊C4C2311yescharacteristic
221C2×Dic83⋊C4C2311yescharacteristic
222C2×Dic83⋊C4C2311yescharacteristic
223C2×Dic83⋊C4C2311yescharacteristic
224C2×Dic83⋊C4C2311yescharacteristic
225C2×Dic83⋊C4C2311yescharacteristic
226C2×Dic83⋊C4C2311yescharacteristic
227C2×Dic83⋊C4C2311yescharacteristic
228C2×Dic83⋊C4C2311yescharacteristic
229C2×Dic83⋊C4C2311yescharacteristic
230C2×Dic83⋊C4C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×C22⋊Dic83C2311yescharacteristic
235C2×C22⋊Dic83C2311yescharacteristic
236C2×C22⋊Dic83C2311yescharacteristic
237C2×C22⋊Dic83C2311yescharacteristic
238C2×C22⋊Dic83C2311yescharacteristic
239C2×C22⋊Dic83C2311yescharacteristic
240C2×C22⋊Dic83C2311yescharacteristic
241C2×C22⋊Dic83C2311yescharacteristic
242C2×C22⋊Dic83C2311yescharacteristic
243C2×(C2×D83)⋊C4C2311yescharacteristic
244C2×(C2×D83)⋊C4C2311yescharacteristic
245C2×(C2×D83)⋊C4C2311yescharacteristic
246C2×(C2×D83)⋊C4C2311yescharacteristic
247C2×(C2×D83)⋊C4C2311yescharacteristic
248C2×(C2×D83)⋊C4C2311yescharacteristic
249C2×(C2×D83)⋊C4C2311yescharacteristic
250C2×(C2×D83)⋊C4C2311yescharacteristic
251C2×(C2×D83)⋊C4C2311yescharacteristic
252C2×(C2×D83)⋊C4C2311yescharacteristic
253C2×(C2×D83)⋊C4C2311yescharacteristic
254C2×(C2×D83)⋊C4C2311yescharacteristic
255C2×C4×Dic83—24no—
256C2×C4×Dic83—42no—
257C2×C4×Dic83—42no—
258C2×C4×Dic83C2311yescharacteristic
259C2×C4×Dic83C2311yescharacteristic
260C2×C4×Dic83C2311yescharacteristic
261C2×C4×Dic83C2311yescharacteristic
262C2×C4×Dic83C2311yescharacteristic
263C2×C4×Dic83C2311yescharacteristic
264C2×C4×Dic83C2311yescharacteristic
265C2×C4×Dic83C2311yescharacteristic
266C2×C4×Dic83C2311yescharacteristic
267C2×C4×Dic83C2311yescharacteristic
268C2×C4×Dic83C2311yescharacteristic
269C2×C4×Dic83C2311yescharacteristic
270C2×C4×Dic83C2311yescharacteristic
271C2×C4×Dic83C2311yescharacteristic
272C2×C4×Dic83C2311yescharacteristic
273C2×C4×Dic83C2311yescharacteristic
274C2×C4×Dic83C2311yescharacteristic
275C2×C4×Dic83C2311yescharacteristic
276C83⋊#95C2311yescharacteristic
277C83⋊#95C2311yescharacteristic
278C83⋊#95C2311yescharacteristic
279C83⋊#95C2311yescharacteristic
280C83⋊#95C2311yescharacteristic
281C83⋊#95C2311yescharacteristic
282C83⋊#95C2311yescharacteristic
283C83⋊#95C2311yescharacteristic
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
320C22×D4×C83C2311yescharacteristic
321C23×C4×C83C2311yescharacteristic
322C23×C4×C83C2311yescharacteristic
323C23×C4×C83C2311yescharacteristic
324#123×C83—24no—
325C2×C4⋊C4×C83—24no—
326C2×C4⋊C4×C83C2311yescharacteristic
327C2×C4⋊C4×C83C2311yescharacteristic
328C2×C4⋊C4×C83C2311yescharacteristic
329C2×C4⋊C4×C83C2311yescharacteristic
330C2×C4⋊C4×C83C2311yescharacteristic
331C2×C4⋊C4×C83C2311yescharacteristic
332C2×C4⋊C4×C83C2311yescharacteristic
333C2×C4⋊C4×C83C2311yescharacteristic
334C2×C4⋊C4×C83C2311yescharacteristic
335C2×C4⋊C4×C83C2311yescharacteristic
336C2×C22⋊C4×C83C2311yescharacteristic
337C2×C22⋊C4×C83C2311yescharacteristic
338C2×C22⋊C4×C83C2311yescharacteristic
339C2×C22⋊C4×C83C2311yescharacteristic
340C2×C22⋊C4×C83C2311yescharacteristic
341C2×C22⋊C4×C83C2311yescharacteristic
342C2×C22⋊C4×C83C2311yescharacteristic
343C2×C22⋊C4×C83C2311yescharacteristic
344C2×C22⋊C4×C83C2311yescharacteristic
345#95×C83C2311yescharacteristic
346#95×C83C2311yescharacteristic
347#95×C83C2311yescharacteristic
348#95×C83C2311yescharacteristic
349#95×C83C2311yescharacteristic
350#95×C83C2311yescharacteristic
351#95×C83C2311yescharacteristic
352#95×C83C2311yescharacteristic
353#95×C83C2311yescharacteristic
354#95×C83C2311yescharacteristic
355#95×C83C2311yescharacteristic
356#95×C83C2311yescharacteristic
357C23×D83C2411yescharacteristic
358C2×Dic166—22no—
359C2×Dic166—22no—
360C2×Dic166—22no—
361C2×C22⋊D83—22no—
362C2×C22⋊D83—22no—
363C2×C22⋊D83—22no—
364C2×C22⋊D83—22no—
365C2×C22⋊D83—22no—
366C2×C22⋊D83—22no—
367C22×Dic83—22no—
368C22×Dic83—22no—
369C22×Dic83—22no—
370C22×Dic83—22no—
371C22×Dic83—22no—
372C22×Dic83—41no—
373C22×Dic83—41no—
374C22×Dic83—41no—
375C22×Dic83—41no—
376C22×Dic83—41no—
377C22×Dic83—41no—
378C22×Dic83—41no—
379C22×Dic83—41no—
380C22×Dic83#4114yes—
381C22×Dic83#4114yes—
382C22×Dic83C2411yescharacteristic
383C22×Dic83C2411yescharacteristic
384C22×Dic83C2411yescharacteristic
385C22×Dic83C2411yescharacteristic
386C22×Dic83C2411yescharacteristic
387C22×Dic83C2411yescharacteristic
388C22×Dic83C2411yescharacteristic
389C22×Dic83C2411yescharacteristic
390C22×Dic83C2411yescharacteristic
391C22×Dic83C2411yescharacteristic
392C22×Dic83C2411yescharacteristic
393C22×Dic83C2411yescharacteristic
394C22×Dic83C2411yescharacteristic
395C22×Dic83C2411yescharacteristic
396C22×Dic83C2411yescharacteristic
397C2×C4×D83—22no—
398C2×C4×D83—41no—
399C2×C4×D83—41no—
400C4⋊Dic83—22no—
401C4⋊Dic83—22no—
402C4⋊Dic83—22no—
403C4⋊Dic83—22no—
404C4⋊Dic83—22no—
405C4⋊Dic83—22no—
406C4⋊Dic83—41no—
407C4⋊Dic83—41no—
408C4⋊Dic83—41no—
409C4⋊Dic83—41no—
410Dic83⋊C4—22no—
411Dic83⋊C4—22no—
412Dic83⋊C4—22no—
413Dic83⋊C4—22no—
414Dic83⋊C4—22no—
415Dic83⋊C4—22no—
416Dic83⋊C4—22no—
417Dic83⋊C4—22no—
418Dic83⋊C4—22no—
419Dic83⋊C4—22no—
420Dic83⋊C4—41no—
421Dic83⋊C4—41no—
422Dic83⋊C4—41no—
423Dic83⋊C4—41no—
424Dic83⋊C4—41no—
425Dic83⋊C4—41no—
426Dic83⋊C4—41no—
427Dic83⋊C4—41no—
428C22⋊Dic83—22no—
429C22⋊Dic83—22no—
430C22⋊Dic83—22no—
431C22⋊Dic83—22no—
432C22⋊Dic83—22no—
433C22⋊Dic83—41no—
434C22⋊Dic83—41no—
435C22⋊Dic83—41no—
436C22⋊Dic83—41no—
437(C2×D83)⋊C4—22no—
438(C2×D83)⋊C4—22no—
439(C2×D83)⋊C4—22no—
440(C2×D83)⋊C4—22no—
441(C2×D83)⋊C4—41no—
442(C2×D83)⋊C4—41no—
443(C2×D83)⋊C4—41no—
444(C2×D83)⋊C4—41no—
445(C2×D83)⋊C4—41no—
446(C2×D83)⋊C4—41no—
447(C2×D83)⋊C4—41no—
448(C2×D83)⋊C4—41no—
449C4×Dic83—22no—
450C4×Dic83—22no—
451C4×Dic83—22no—
452C4×Dic83—22no—
453C4×Dic83—22no—
454C4×Dic83—22no—
455C4×Dic83—22no—
456C4×Dic83—22no—
457C4×Dic83—22no—
458C4×Dic83—22no—
459C4×Dic83—41no—
460C4×Dic83—41no—
461C4×Dic83—41no—
462C4×Dic83—41no—
463C4×Dic83—41no—
464C4×Dic83—41no—
465C4×Dic83—41no—
466C4×Dic83—41no—
467C24×C83C2411yescharacteristic
468C24×C83C2411yescharacteristic
469C2×D4×C83—22no—
470C2×D4×C83—22no—
471C2×D4×C83—22no—
472C22×C4×C83—22no—
473C22×C4×C83—22no—
474C22×C4×C83—22no—
475C22×C4×C83—22no—
476C22×C4×C83—41no—
477C22×C4×C83—41no—
478C22×C4×C83—41no—
479C22×C4×C83—41no—
480C22×C4×C83#4114yes—
481C22×C4×C83C2411yescharacteristic
482C22×C4×C83C2411yescharacteristic
483C22×C4×C83C2411yescharacteristic
484C22×C4×C83C2411yescharacteristic
485C22×C4×C83C2411yescharacteristic
486C22×C4×C83C2411yescharacteristic
487C22×C4×C83C2411yescharacteristic
488C22×C4×C83C2411yescharacteristic
489C22×C4×C83C2411yescharacteristic
490C22×C4×C83C2411yescharacteristic
491C22×C4×C83C2411yescharacteristic
492C22×C4×C83C2411yescharacteristic
493C22×C4×C83C2411yescharacteristic
494C4⋊C4×C83—22no—
495C4⋊C4×C83—22no—
496C4⋊C4×C83—22no—
497C4⋊C4×C83—22no—
498C4⋊C4×C83—22no—
499C4⋊C4×C83—22no—
500C4⋊C4×C83—41no—
501C4⋊C4×C83—41no—
502C4⋊C4×C83—41no—
503C4⋊C4×C83—41no—
504C22⋊C4×C83—22no—
505C22⋊C4×C83—22no—
506C22⋊C4×C83—22no—
507C22⋊C4×C83—22no—
508C22⋊C4×C83—22no—
509C22⋊C4×C83—41no—
510C22⋊C4×C83—41no—
511C22⋊C4×C83—41no—
512C22⋊C4×C83—41no—
513C23×C83—21no—
514C23×C83—21no—
515C23×C83—21no—
516C23×C83—21no—
517C23×C83—21no—
518C23×C83—21no—
519C23×C83—21no—
520C23×C83—21no—
521C23×C83—21no—
522C23×C83—21no—
523C23×C83—21no—
524C23×C83C2×#4112yes—
525C23×C83C2×#4112yes—
526C23×C83C2×#4112yes—
527C23×C83C2511yescharacteristic
528C22×D83—21no—
529C22×D83—21no—
530C22×D83—21no—
531C22×D83—21no—
532C22×D83—21no—
533C22×D83—21no—
534C22×D83—21no—
535D4×C83—44no—
536C2×C4×C83—28no—
537C2×C4×C83—21no—
538C2×C4×C83—21no—
539C2×C4×C83—21no—
540C2×C4×C83—21no—
541C2×C4×C83—21no—
542C2×C4×C83—21no—
543C2×C4×C83—21no—
544C2×C4×C83—21no—
545C2×C4×C83—21no—
546C2×C4×C83—21no—
547C2×C4×C83—21no—
548C2×C4×C83—21no—
549C2×C4×C83—21no—
550C2×C4×C83—21no—
551C2×C4×C83—21no—
552C2×C4×C83—21no—
553C2×C4×C83—21no—
554C2×C4×C83—21no—
555C2×C4×C83—21no—
556C2×C4×C83—21no—
557C2×C4×C83—21no—
558C2×C4×C83—21no—
559C2×C4×C83—21no—
560C2×C4×C83—21no—
561C2×C4×C83—21no—
562C2×C4×C83—21no—
563C2×C4×C83—21no—
564C2×C4×C83—21no—
565C2×C4×C83—21no—
566C2×C4×C83—21no—
567C2×C4×C83—21no—
568C2×C4×C83—21no—
569C2×C4×C83—21no—
570C2×C4×C83—21no—
571C2×C4×C83—21no—
572C2×C4×C83—21no—
573C2×C4×C83—21no—
574C2×C4×C83—44no—
575C2×C4×C83—44no—
576C2×C4×C83C2×#4112yes—
577C2×C4×C83C2×#4112yes—
578C22⋊D83—44no—
579C22⋊D83—44no—
580C2×Dic83—21no—
581C2×Dic83—21no—
582C2×Dic83—21no—
583C2×Dic83—21no—
584C2×Dic83—21no—
585C2×Dic83—21no—
586C2×Dic83—28no—
587C2×Dic83—21no—
588C2×Dic83—21no—
589C2×Dic83—21no—
590C2×Dic83—21no—
591C2×Dic83—21no—
592C2×Dic83—21no—
593C2×Dic83—21no—
594C2×Dic83—21no—
595C2×Dic83—21no—
596C2×Dic83—21no—
597C2×Dic83—21no—
598C2×Dic83—21no—
599C2×Dic83—21no—
600C2×Dic83—21no—
601C2×Dic83—21no—
602C2×Dic83—21no—
603C2×Dic83—21no—
604C2×Dic83—21no—
605C2×Dic83—21no—
606C2×Dic83—21no—
607C2×Dic83—21no—
608C2×Dic83—21no—
609C2×Dic83—21no—
610C2×Dic83—21no—
611C2×Dic83—21no—
612C2×Dic83—21no—
613C2×Dic83—21no—
614C2×Dic83—21no—
615C2×Dic83—21no—
616C2×Dic83—21no—
617C2×Dic83—21no—
618C2×Dic83—21no—
619C2×Dic83—21no—
620C2×Dic83—44no—
621C2×Dic83—44no—
622C2×Dic83—44no—
623C2×Dic83—82no—
624C2×Dic83C2×#4112yes—
625C2×Dic83C2×#4112yes—
626C2×Dic83C2×#4112yes—
627C2×Dic83C2×#4112yes—
628C2×Dic83H(5,𝔽2)12yes—
629C2×Dic832−1+412yes—
630C4×D83—82no—
631Dic166—44no—
632C22×C83—22no—
633C22×C83—22no—
634C22×C83—22no—
635C22×C83—22no—
636C22×C83—22no—
637C22×C83—22no—
638C22×C83—41no—
639C22×C83—41no—
640C22×C83—41no—
641C22×C83—41no—
642C22×C83—41no—
643C22×C83—41no—
644C22×C83—41no—
645C22×C83#52914yes—
646C22×C83C22×#4111yescharacteristic
647C22×C83C22×#4111yescharacteristic
648C22×C83C22×#4111yescharacteristic
649C22×C83C2×H(5,𝔽2)11yescharacteristic
650C22×C83C2×2−1+411yescharacteristic
651C22×C83#58511yescharacteristic
652C22×C83#58511yescharacteristic
653C2×D83—41no—
654C2×D83—41no—
655C2×D83—41no—
656C2×D83—41no—
657C2×D83—41no—
658C2×D83—41no—
659C2×D83—41no—
660C4×C83—22no—
661C4×C83—22no—
662C4×C83—41no—
663C4×C83—41no—
664C4×C83—41no—
665C4×C83—41no—
666C4×C83—41no—
667C4×C83—41no—
668C4×C83—41no—
669C4×C83—41no—
670C4×C83—41no—
671C4×C83—41no—
672C4×C83—41no—
673Dic83—22no—
674Dic83—22no—
675Dic83—22no—
676Dic83—41no—
677Dic83—41no—
678Dic83—41no—
679Dic83—41no—
680Dic83—41no—
681Dic83—41no—
682Dic83—41no—
683Dic83—41no—
684Dic83—41no—
685Dic83—41no—
686Dic83—41no—
687Dic83#53914yes—
688#35024—831nomaximal, Sylow
689C2×C83—24no—
690C2×C83—81no—
691C2×C83C2×#52911yescharacteristic
692C2×C83C2×#53911yescharacteristic
693C2×C83#345511yescharacteristic
694C2×C83#350511yescharacteristic
695C2×C83#350611yescharacteristic
696C2×C83#350711yescharacteristic
697C2×C83#350711yescharacteristic
698D83—81no—
699#2855—831no—
700#2854—831no—
701#2851—831no—
702#2850—831no—
703#2643—831no—
704#2643—831no—
705#2623—831no—
706#2623D8311yescharacteristic, complemented
707#2596—831no—
708#2596—831no—
709#2594—831no—
710#2594—831no—
711#2577—831no—
712#2577—831no—
713#2575—831no—
714#2575—831no—
715#2514—831no—
716#2513—831no—
717#2509—831no—
718#2508—831no—
719#2454—831no—
720#2453—831no—
721#2448—831no—
722#2447—831no—
723#2322—831no—
724#2322—831no—
725#2318—831no—
726#2318—831no—
727C4×C22⋊Q8—831no—
728C4×#121—831no—
729C2×C4×C4⋊C4—831no—
730C83#3502411yescharacteristic, complemented, Sylow
731C2×#125—831no—
732C2×#124—831no—
733C2×#123—831no—
734C2×#123C2×D8311yescharacteristic
735C2×C22⋊Q8—831no—
736C2×#121—831no—
737C2×C4×Q8—831no—
738C2×C4×D4—831no—
739C2×C4×D4—831no—
740C2×C4×D4—831no—
741C22×C4⋊C4—831no—
742C22×C4⋊C4C2×D8311yescharacteristic
743C22×C42—831no—
744C22×C42—831no—
745C22×C42—831no—
746#401—831no—
747#401—831no—
748#400—831no—
749#400—831no—
750#400—831no—
751#400—831no—
752#400—831no—
753#400—831no—
754#400—831no—
755#400—831no—
756#400C2×D8311yescharacteristic
757#400C2×D8311yescharacteristic
758#399—831no—
759#399—831no—
760#399C2×D8311yescharacteristic
761#399C2×D8311yescharacteristic
762#398—831no—
763#398—831no—
764#398C2×D8311yescharacteristic
765#398C2×D8311yescharacteristic
766#397—831no—
767#397—831no—
768#397—831no—
769#397—831no—
770#397—831no—
771#397—831no—
772#397—831no—
773#397—831no—
774#397C2×D8311yescharacteristic
775#397C2×D8311yescharacteristic
776#396—831no—
777#396—831no—
778#391—831no—
779#391—831no—
780#391—831no—
781#391—831no—
782#390—831no—
783#390—831no—
784#390—831no—
785#390—831no—
786#389—831no—
787#389—831no—
788#389—831no—
789#389—831no—
790#389—831no—
791#389—831no—
792#389—831no—
793#389—831no—
794#389—831no—
795#389—831no—
796#389—831no—
797#389—831no—
798#388—831no—
799#388—831no—
800#388—831no—
801#388—831no—
802#388—831no—
803#388—831no—
804#388—831no—
805#388—831no—
806#388—831no—
807#388—831no—
808#388—831no—
809#388—831no—
810#388—831no—
811#388—831no—
812#388—831no—
813#388—831no—
814#388—831no—
815#388—831no—
816#387—831no—
817#387—831no—
818#387—831no—
819#387—831no—
820#387—831no—
821#387—831no—
822#387—831no—
823#387—831no—
824#387—831no—
825#387—831no—
826#387—831no—
827#387—831no—
828#387—831no—
829#387—831no—
830#387—831no—
831#387—831no—
832#387—831no—
833#387—831no—
834#386—831no—
835#386—831no—
836#386—831no—
837#386—831no—
838#386—831no—
839#386—831no—
840#386C2×D8311yescharacteristic
841#386C2×D8311yescharacteristic
842#385—831no—
843#385—831no—
844#385—831no—
845#385—831no—
846#385—831no—
847#385—831no—
848#385—831no—
849#385—831no—
850#385—831no—
851#385—831no—
852#385C2×D8311yescharacteristic
853#385C2×D8311yescharacteristic
854#383—831no—
855#383—831no—
856#382—831no—
857#382—831no—
858#382—831no—
859#382—831no—
860#381—831no—
861#381—831no—
862#381—831no—
863#381C2×D8311yescharacteristic
864#380—831no—
865#380—831no—
866#380—831no—
867#380—831no—
868C4×C4⋊C4—831no—
869C4×C4⋊C4—831no—
870C4×C4⋊C4—831no—
871C4×C4⋊C4—831no—
872C4×C4⋊C4—831no—
873C4×C4⋊C4—831no—
874C4×C4⋊C4—831no—
875C4×C4⋊C4—831no—
876C4×C4⋊C4—831no—
877C4×C4⋊C4—831no—
878C4×C4⋊C4—831no—
879C4×C4⋊C4—831no—
880C4×C22⋊C4—831no—
881C4×C22⋊C4—831no—
882C4×C22⋊C4—831no—
883C4×C22⋊C4—831no—
884C2×#95—831no—
885C2×#95—831no—
886C22×Q8—831no—
887C22×D4—831no—
888C22×D4—831no—
889C22×D4C22×D8311yescharacteristic
890C23×C4—831no—
891C23×C4—831no—
892C23×C4—831no—
893C23×C4—831no—
894C23×C4—831no—
895C23×C4—831no—
896C23×C4C22×D8311yescharacteristic
897C23×C4C22×D8311yescharacteristic
898C23×C4C22×D8311yescharacteristic
899#125—3322no—
900#124—3322no—
901#123—24no—
902#123—1664no—
903C22⋊Q8—1664no—
904#121—1664no—
905C4×Q8—3322no—
906C4×D4—3322no—
907C4×D4—1664no—
908C4×D4—1664no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—831no—
911C2×C4⋊C4—831no—
912C2×C4⋊C4—831no—
913C2×C4⋊C4—831no—
914C2×C4⋊C4—831no—
915C2×C4⋊C4—831no—
916C2×C4⋊C4—831no—
917C2×C4⋊C4—831no—
918C2×C4⋊C4—831no—
919C2×C4⋊C4—831no—
920C2×C4⋊C4—831no—
921C2×C4⋊C4—831no—
922C2×C4⋊C4—831no—
923C2×C4⋊C4—831no—
924C2×C4⋊C4—831no—
925C2×C4⋊C4—831no—
926C2×C4⋊C4—831no—
927C2×C4⋊C4—831no—
928C2×C4⋊C4—831no—
929C2×C4⋊C4—831no—
930C2×C4⋊C4—831no—
931C2×C4⋊C4—831no—
932C2×C4⋊C4—831no—
933C2×C4⋊C4—831no—
934C2×C4⋊C4—831no—
935C2×C4⋊C4—831no—
936C2×C4⋊C4—831no—
937C2×C4⋊C4—831no—
938C2×C4⋊C4—1664no—
939C2×C4⋊C4C22×D8311yescharacteristic
940C2×C4⋊C4C22×D8311yescharacteristic
941C2×C4⋊C4C22×D8311yescharacteristic
942C2×C4⋊C4C22×D8311yescharacteristic
943C2×C4⋊C4C22×D8311yescharacteristic
944C2×C4⋊C4C22×D8311yescharacteristic
945C2×C4⋊C4C22×D8311yescharacteristic
946C2×C4⋊C4C22×D8311yescharacteristic
947C2×C4⋊C4C22×D8311yescharacteristic
948C2×C4⋊C4C22×D8311yescharacteristic
949C2×C22⋊C4—831no—
950C2×C22⋊C4—831no—
951C2×C22⋊C4—831no—
952C2×C22⋊C4—831no—
953C2×C22⋊C4—831no—
954C2×C22⋊C4—831no—
955C2×C22⋊C4—831no—
956C2×C22⋊C4—831no—
957C2×C22⋊C4—831no—
958C2×C22⋊C4—831no—
959C2×C22⋊C4—831no—
960C2×C22⋊C4—831no—
961C2×C22⋊C4—831no—
962C2×C22⋊C4—831no—
963C2×C22⋊C4—831no—
964C2×C22⋊C4—831no—
965C2×C22⋊C4—831no—
966C2×C22⋊C4—831no—
967C2×C22⋊C4—831no—
968C2×C22⋊C4—831no—
969C2×C22⋊C4—831no—
970C2×C22⋊C4C22×D8311yescharacteristic
971C2×C22⋊C4C22×D8311yescharacteristic
972C2×C22⋊C4C22×D8311yescharacteristic
973C2×C22⋊C4C22×D8311yescharacteristic
974C2×C22⋊C4C22×D8311yescharacteristic
975C2×C22⋊C4C22×D8311yescharacteristic
976C2×C22⋊C4C22×D8311yescharacteristic
977C2×C22⋊C4C22×D8311yescharacteristic
978C2×C22⋊C4C22×D8311yescharacteristic
979C2×C42—3322no—
980C2×C42—3322no—
981C2×C42—831no—
982C2×C42—831no—
983C2×C42—831no—
984C2×C42—831no—
985C2×C42—831no—
986C2×C42—831no—
987C2×C42—831no—
988C2×C42—831no—
989C2×C42—831no—
990C2×C42—831no—
991C2×C42—831no—
992C2×C42—831no—
993C2×C42—831no—
994C2×C42—831no—
995C2×C42—831no—
996C2×C42—831no—
997C2×C42—831no—
998C2×C42—831no—
999C2×C42—1664no—
1000#95—831no—
1001#95—831no—
1002#95—831no—
1003#95—831no—
1004#95—831no—
1005#95—831no—
1006#95—831no—
1007#95—831no—
1008#95—831no—
1009#95—831no—
1010#95—831no—
1011#95—831no—
1012#95—831no—
1013#95—831no—
1014#95—831no—
1015#95—831no—
1016#95—831no—
1017#95—831no—
1018#95—831no—
1019#95—831no—
1020#95—831no—
1021#95—831no—
1022#95—831no—
1023#95—831no—
1024#95—831no—
1025#95—831no—
1026#95—831no—
1027#95—831no—
1028#95—831no—
1029#95—831no—
1030#95—831no—
1031#95—831no—
1032#95—831no—
1033#95—831no—
1034#95—831no—
1035#95—831no—
1036#95—831no—
1037#95—831no—
1038#95—831no—
1039#95—831no—
1040#95—831no—
1041#95—831no—
1042#95—831no—
1043#95—831no—
1044#95C22×D8311yescharacteristic
1045#95C22×D8311yescharacteristic
1046#95C22×D8311yescharacteristic
1047#95C22×D8311yescharacteristic
1048#95C22×D8311yescharacteristic
1049#95C22×D8311yescharacteristic
1050#95C22×D8311yescharacteristic
1051#95C22×D8311yescharacteristic
1052#95C22×D8311yescharacteristic
1053#95C22×D8311yescharacteristic
1054#95C22×D8311yescharacteristic
1055#95C22×D8311yescharacteristic
1056C24—831no—
1057C24C23×D8311yescharacteristic
1058C24C23×D8311yescharacteristic
1059C2×Q8—1662no—
1060C2×Q8—1662no—
1061C2×Q8—1662no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—1662no—
1066C2×D4—1662no—
1067C2×D4—1662no—
1068C2×D4—1662no—
1069C2×D4—1662no—
1070C2×D4—1662no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—3321no—
1080C22×C4—3321no—
1081C22×C4—3321no—
1082C22×C4—3321no—
1083C22×C4—3321no—
1084C22×C4—3321no—
1085C22×C4—3321no—
1086C22×C4—3321no—
1087C22×C4—3321no—
1088C22×C4—3321no—
1089C22×C4—834no—
1090C22×C4—831no—
1091C22×C4—834no—
1092C22×C4—831no—
1093C22×C4—831no—
1094C22×C4—831no—
1095C22×C4—831no—
1096C22×C4—831no—
1097C22×C4—831no—
1098C22×C4—831no—
1099C22×C4—831no—
1100C22×C4—831no—
1101C22×C4—831no—
1102C22×C4—831no—
1103C22×C4—831no—
1104C22×C4—831no—
1105C22×C4—831no—
1106C22×C4—1662no—
1107C22×C4—1662no—
1108C22×C4—1662no—
1109C22×C4—1662no—
1110C22×C4—1662no—
1111C22×C4—1662no—
1112C22×C4#1305058914yes—
1113C22×C4C23×D8311yescharacteristic
1114C22×C4C23×D8311yescharacteristic
1115C22×C4C23×D8311yescharacteristic
1116C22×C4C23×D8311yescharacteristic
1117C22×C4C23×D8311yescharacteristic
1118C22×C4C23×D8311yescharacteristic
1119C22×C4C23×D8311yescharacteristic
1120C22×C4C23×D8311yescharacteristic
1121C22×C4C23×D8311yescharacteristic
1122C22×C4C23×D8311yescharacteristic
1123C22×C4C23×D8311yescharacteristic
1124C22×C4C23×D8311yescharacteristic
1125C22×C4C23×D8311yescharacteristic
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—3321no—
1137C4⋊C4—3321no—
1138C4⋊C4—3321no—
1139C4⋊C4—3321no—
1140C4⋊C4—3321no—
1141C4⋊C4—3321no—
1142C4⋊C4—3321no—
1143C4⋊C4—3321no—
1144C4⋊C4—3321no—
1145C4⋊C4—3321no—
1146C4⋊C4—3321no—
1147C4⋊C4—3321no—
1148C4⋊C4—1662no—
1149C4⋊C4—1662no—
1150C4⋊C4—1662no—
1151C4⋊C4—1662no—
1152C4⋊C4—1662no—
1153C4⋊C4—1662no—
1154C4⋊C4—1662no—
1155C4⋊C4—1662no—
1156C4⋊C4—1662no—
1157C4⋊C4—1662no—
1158C4⋊C4—1662no—
1159C4⋊C4—1662no—
1160C4⋊C4—1662no—
1161C4⋊C4—1662no—
1162C4⋊C4—1662no—
1163C4⋊C4—1662no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—3321no—
1174C22⋊C4—3321no—
1175C22⋊C4—3321no—
1176C22⋊C4—3321no—
1177C22⋊C4—3321no—
1178C22⋊C4—3321no—
1179C22⋊C4—3321no—
1180C22⋊C4—3321no—
1181C22⋊C4—3321no—
1182C22⋊C4—3321no—
1183C22⋊C4—3321no—
1184C22⋊C4—3321no—
1185C22⋊C4—1662no—
1186C22⋊C4—1662no—
1187C22⋊C4—1662no—
1188C22⋊C4—1662no—
1189C22⋊C4—1662no—
1190C22⋊C4—1662no—
1191C22⋊C4—1662no—
1192C22⋊C4—1662no—
1193C22⋊C4—1662no—
1194C42—3321no—
1195C42—3321no—
1196C42—3321no—
1197C42—3321no—
1198C42—3321no—
1199C42—3321no—
1200C42—3321no—
1201C42—3321no—
1202C42—1662no—
1203C42—1662no—
1204C42—1662no—
1205C42—1662no—
1206C42—1662no—
1207C42—1662no—
1208C42—1662no—
1209C42—1662no—
1210C42—1662no—
1211C42—1662no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—1661no—
1224C23—1661no—
1225C23—1661no—
1226C23—1661no—
1227C23—1661no—
1228C23—1661no—
1229C23—1661no—
1230C23#41×D8312yes—
1231C23#41×D8312yes—
1232C23C2×#1305058912yes—
1233C23C24×D8311yescharacteristic
1234Q8—3324no—
1235D4—44no—
1236D4—3324no—
1237D4—3324no—
1238C2×C4—28no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—44no—
1277C2×C4—44no—
1278C2×C4—3324no—
1279C2×C4—3324no—
1280C2×C4—3324no—
1281C2×C4—832no—
1282C2×C4—832no—
1283C2×C4—832no—
1284C2×C4—832no—
1285C2×C4—832no—
1286C2×C4—832no—
1287C2×C4—6642no—
1288C2×C4—6642no—
1289C2×C4—1661no—
1290C2×C4—1661no—
1291C2×C4—1661no—
1292C2×C4—1661no—
1293C2×C4—1661no—
1294C2×C4—1661no—
1295C2×C4—1661no—
1296C2×C4—1661no—
1297C2×C4—1661no—
1298C2×C4—1661no—
1299C2×C4—1661no—
1300C2×C4—1661no—
1301C2×C4—1661no—
1302C2×C4—1661no—
1303C2×C4—1661no—
1304C2×C4—1661no—
1305C2×C4—1661no—
1306C2×C4—1661no—
1307C2×C4—1661no—
1308C2×C4—1661no—
1309C2×C4—1661no—
1310C2×C4—1661no—
1311C2×C4—1661no—
1312C2×C4—1661no—
1313C2×C4—1661no—
1314C2×C4—1661no—
1315C2×C4—1661no—
1316C2×C4—1661no—
1317C2×C4—1661no—
1318C2×C4—1661no—
1319C2×C4—1661no—
1320C2×C4—1661no—
1321C2×C4—1661no—
1322C2×C4—1668no—
1323C2×C4—1661no—
1324C2×C4—1661no—
1325C2×C4—1661no—
1326C2×C4—1661no—
1327C2×C4—1661no—
1328C2×C4—1661no—
1329C2×C4C2×#1305058912yes—
1330C2×C4C2×#1305058912yes—
1331C22—22no—
1332C22—22no—
1333C22—22no—
1334C22—22no—
1335C22—22no—
1336C22—22no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—3321no—
1345C22—3321no—
1346C22—3321no—
1347C22—3321no—
1348C22—3321no—
1349C22—3321no—
1350C22—3321no—
1351C22#1912822814yes—
1352C22C2×#41×D8311yescharacteristic
1353C22C2×#41×D8311yescharacteristic
1354C22C22×#1305058911yescharacteristic
1355C22H(5,𝔽2)×D8311yescharacteristic
1356C222−1+4×D8311yescharacteristic
1357C22#1912853611yescharacteristic
1358C22#1912853811yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—3321no—
1373C4—3321no—
1374C4—3321no—
1375C4—3321no—
1376C4—3321no—
1377C4—3321no—
1378C4—3321no—
1379C4—3321no—
1380C4—3321no—
1381C4—3321no—
1382C4—3321no—
1383C4—834no—
1384C4—1662no—
1385C4—1662no—
1386C4—1662no—
1387C2—24no—
1388C2—81no—
1389C2—6641no—
1390C2C2×#1912822811yescharacteristic
1391C2#539×D8311yescharacteristic
1392C2#2492084911yescharacteristic
1393C2#2492129511yescharacteristic
1394C2#2492131411yescharacteristic
1395C2#2492132311yescharacteristic
1396C2#2492132711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2623C2
prime radicalC2×#14581764C22
hypercenter#2623D83
hypocenterC83#35024
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2623

Complements

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

NH ≅ G/Ntype
1. #24915800C2semidirect
3. #24915769C2semidirect
5. #24913419C2semidirect
6. #24913418C2semidirect
7. #24913243C2semidirect
8. #24913002C2semidirect
9. #24913000C2semidirect
10. #24912972C2semidirect
11. #24912970C2semidirect
12. #24912785C2semidirect
13. #24912783C2semidirect
14. #24912755C2semidirect
15. #24912753C2semidirect
16. #24912066C2semidirect
17. #24912055C2semidirect
18. #24912007C2semidirect
19. #24911996C2semidirect
20. #24911330C2semidirect
21. #24911319C2semidirect
22. #24911256C2semidirect
23. #24911245C2semidirect
24. #24910135C2semidirect
25. #24910129C2semidirect
26. #24910091C2semidirect
27. #24910089C2semidirect
28. #24909995C2semidirect
30. C2×C4⋊C4×Dic83C2semidirect
31. C83×#2623C2semidirect
706. #2623D83semidirect
730. C83#35024semidirect

Maximal subgroups

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

subgroupindex
#249158002
#249157922
#249157692
#249157602
#249134192
#249134182
#249132432
#249130022
#249130002
#249129722
#249129702
#249127852
#249127832
#249127552
#249127532
#249120662
#249120552
#249120072
#249119962
#249113302
#249113192
#249112562
#249112452
#249101352
#249101292
#249100912
#249100892
#249099952
#249099732
C2×C4⋊C4×Dic832
C83×#26232
#3502483