Finite Group Databasebeta

← #35573264

Subgroups — #35573264

Order 21248.

2738 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128207C211yesmaximal, characteristic
2C2×C4×#13050589C211yesmaximal, characteristic, complemented
3#24910985C211yesmaximal, characteristic, complemented
4#24910981C211yesmaximal, characteristic, complemented
5#24910974C211yesmaximal, characteristic, complemented
6#24910970C211yesmaximal, characteristic, complemented
7#24910963C211yesmaximal, characteristic, complemented
8#24910959C211yesmaximal, characteristic, complemented
9#24910952C211yesmaximal, characteristic, complemented
10#24910948C211yesmaximal, characteristic, complemented
11#24910946C211yesmaximal, characteristic, complemented
12#24910942C211yesmaximal, characteristic, complemented
13#24910938C211yesmaximal, characteristic, complemented
14#24910934C211yesmaximal, characteristic, complemented
15#24910929C211yesmaximal, characteristic, complemented
16#24910925C211yesmaximal, characteristic, complemented
17#24910921C211yesmaximal, characteristic, complemented
18#24910728C211yesmaximal, characteristic, complemented
19#24910725C211yesmaximal, characteristic, complemented
20#24910719C211yesmaximal, characteristic, complemented
21#24910719C211yesmaximal, characteristic, complemented
22#24909990C211yesmaximal, characteristic, complemented
23#24909990C211yesmaximal, characteristic, complemented
24#24909988C211yesmaximal, characteristic, complemented
25#123×Dic83C211yesmaximal, characteristic, complemented
26#24909948C211yesmaximal, characteristic, complemented
27#24909942C211yesmaximal, characteristic, complemented
28#24909865C211yesmaximal, characteristic, complemented
29#24909841C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic83C211yesmaximal, characteristic, complemented
31C83×#2418C211yesmaximal, characteristic, complemented
32C22×#13050589C2211yescharacteristic
33C24×Dic83C2211yescharacteristic
34#19128207—28no—
35C2×#14581776C2211yescharacteristic
36C2×#14581774C2211yescharacteristic
37C2×#14581774C2211yescharacteristic
38C2×#14581773C2211yescharacteristic
39C2×#14581773C2211yescharacteristic
40C2×#14581769C2211yescharacteristic
41C2×#14581769C2211yescharacteristic
42C2×#14581764C2211yescharacteristic
43C2×#14581764C2211yescharacteristic
44C2×#14581761C2211yescharacteristic
45C4×#13050589—28no—
46C2×C4×Dic166C2211yescharacteristic, complemented
47C2×#14581757C2211yescharacteristic, complemented
48C2×D4×Dic83C2211yescharacteristic
49C2×D4×Dic83C2211yescharacteristic
50C2×D4×Dic83C2211yescharacteristic
51C2×C4×C22⋊D83C2211yescharacteristic
52C2×C4×C22⋊D83C2211yescharacteristic, complemented
53C2×(C22⋊D83)⋊C4C2211yescharacteristic
54C2×(C22⋊D83)⋊C4C2211yescharacteristic
55C2×(C22⋊D83)⋊C4C2211yescharacteristic
56C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
57C2×#14581750C2211yescharacteristic, complemented
58C2×#14581748C2211yescharacteristic
59C2×#14581748C2211yescharacteristic
60C2×#14581748C2211yescharacteristic
61C2×#14581748C2211yescharacteristic, complemented
62C22×C22⋊Dic83C2211yescharacteristic
63C22×C4×Dic83C2211yescharacteristic
64C22×C4×Dic83C2211yescharacteristic
65C22×C4×Dic83C2211yescharacteristic, complemented
66C2×C42×D83C2211yescharacteristic, complemented
67#19127643C2211yescharacteristic, complemented
68#19127643C2211yescharacteristic, complemented
69#19127641C2211yescharacteristic, complemented
70#19127639C2211yescharacteristic, complemented
71#19127637C2211yescharacteristic
72#19127637C2211yescharacteristic
73#19127637C2211yescharacteristic
74#19127634C2211yescharacteristic, complemented
75#19127634C2211yescharacteristic, complemented
76#19127633C2211yescharacteristic, complemented
77#19127632C2211yescharacteristic, complemented
78#19127630C2211yescharacteristic, complemented
79#19127630C2211yescharacteristic, complemented
80#19127629C2211yescharacteristic
81#19127629C2211yescharacteristic
82#19127629C2211yescharacteristic, complemented
83#19127629C2211yescharacteristic, complemented
84#19127627C2211yescharacteristic, complemented
85#19127627C2211yescharacteristic, complemented
86#19127626C2211yescharacteristic
87#19127626C2211yescharacteristic, complemented
88#19127626C2211yescharacteristic, complemented
89#19127617C2211yescharacteristic
90#19127617C2211yescharacteristic
91#19127616C2211yescharacteristic
92#19127616C2211yescharacteristic
93#19127615C2211yescharacteristic
94#19127615C2211yescharacteristic
95#19127605C2211yescharacteristic, complemented
96#19127605C2211yescharacteristic, complemented
97#19127601C2211yescharacteristic, complemented
98#19127601C2211yescharacteristic, complemented
99#19127598C2211yescharacteristic, complemented
100#19127598C2211yescharacteristic, complemented
101#19127596C2211yescharacteristic, complemented
102#19127596C2211yescharacteristic, complemented
103#19127595C2211yescharacteristic
104#19127595C2211yescharacteristic
105#19127594C2211yescharacteristic
106#19127594C2211yescharacteristic
107#19127589C2211yescharacteristic
108#19127589C2211yescharacteristic
109#19127588C2211yescharacteristic, complemented
110#19127588C2211yescharacteristic, complemented
111#19127587C2211yescharacteristic, complemented
112#19127587C2211yescharacteristic, complemented
113#19127586C2211yescharacteristic, complemented
114#19127586C2211yescharacteristic, complemented
115#19127585C2211yescharacteristic, complemented
116#19127585C2211yescharacteristic, complemented
117#19127581C2211yescharacteristic
118#19127581C2211yescharacteristic
119#19127580C2211yescharacteristic
120#19127578C2211yescharacteristic
121#19127577C2211yescharacteristic
122#19127577C2211yescharacteristic
123#19127576C2211yescharacteristic
124#19127576C2211yescharacteristic, complemented
125#19127574C2211yescharacteristic
126#19127574C2211yescharacteristic, complemented
127#19127573C2211yescharacteristic
128#19127572C2211yescharacteristic, complemented
129#19127572C2211yescharacteristic, complemented
130#19127570C2211yescharacteristic, complemented
131#19127570C2211yescharacteristic, complemented
132#19127565C2211yescharacteristic, complemented
133#19127565C2211yescharacteristic, complemented
134#19127564C2211yescharacteristic, complemented
135#19127563C2211yescharacteristic, complemented
136#19127563C2211yescharacteristic, complemented
137#19127562C2211yescharacteristic
138#19127562C2211yescharacteristic
139#19127562C2211yescharacteristic, complemented
140#19127561C2211yescharacteristic
141#19127559C2211yescharacteristic
142#19127559C2211yescharacteristic
143#19127559C2211yescharacteristic
144#19127559C2211yescharacteristic
145#19127559C2211yescharacteristic
146#19127559C2211yescharacteristic
147#19127557C2211yescharacteristic
148C4⋊C4×Dic83C2211yescharacteristic, complemented
149C4⋊C4×Dic83C2211yescharacteristic, complemented
150C4⋊C4×Dic83C2211yescharacteristic, complemented
151C4⋊C4×Dic83C2211yescharacteristic, complemented
152#19127552C2211yescharacteristic, complemented
153#19127552C2211yescharacteristic, complemented
154#19127552C2211yescharacteristic, complemented
155#19127552C2211yescharacteristic, complemented
156C22⋊C4×Dic83C2211yescharacteristic
157C22⋊C4×Dic83C2211yescharacteristic
158C22⋊C4×Dic83C2211yescharacteristic
159C22⋊C4×Dic83C2211yescharacteristic
160C22⋊C4×Dic83C2211yescharacteristic
161C22⋊C4×Dic83C2211yescharacteristic
162C22⋊C4×Dic83C2211yescharacteristic
163C22⋊C4×Dic83C2211yescharacteristic
164C22⋊C4×Dic83C2211yescharacteristic
165C22⋊C4×Dic83C2211yescharacteristic
166C22⋊C4×Dic83C2211yescharacteristic
167C22⋊C4×Dic83C2211yescharacteristic
168C22⋊C4×Dic83C2211yescharacteristic, complemented
169C22⋊C4×Dic83C2211yescharacteristic, complemented
170#19127548C2211yescharacteristic, complemented
171#19127548C2211yescharacteristic, complemented
172C2×C83⋊#95C2211yescharacteristic
173C2×C83⋊#95C2211yescharacteristic
174C2×#123×C83C2211yescharacteristic
175C2×#120×C83C2211yescharacteristic
176C2×C4×D4×C83C2211yescharacteristic
177C22×C22⋊C4×C83C2211yescharacteristic
178#399×C83C2211yescharacteristic
179#397×C83C2211yescharacteristic
180#394×C83C2211yescharacteristic
181#394×C83C2211yescharacteristic
182#388×C83C2211yescharacteristic
183#388×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic
185#386×C83C2211yescharacteristic
186#385×C83C2211yescharacteristic
187#380×C83C2211yescharacteristic
188#379×C83C2211yescharacteristic
189C2×#13050589—24no—
190C2×#13050589—24no—
191C2×#13050589D418yes—
192C22×Dic166C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C23×Dic83—24no—
198C23×Dic83—24no—
199C23×Dic83—24no—
200C23×Dic83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C23×Dic83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213#14581776—24no—
214#14581774—24no—
215#14581774—24no—
216#14581773—24no—
217#14581773—24no—
218#14581769—24no—
219#14581769—24no—
220#14581764—24no—
221#14581764—24no—
222#14581761—24no—
223C4×Dic166—24no—
224#14581757—24no—
225D4×Dic83—24no—
226D4×Dic83—24no—
227D4×Dic83—24no—
228C4×C22⋊D83—24no—
229C4×C22⋊D83—24no—
230(C22⋊D83)⋊C4—24no—
231(C22⋊D83)⋊C4—24no—
232(C22⋊D83)⋊C4—24no—
233(C22⋊D83)⋊C4—24no—
234#14581750—24no—
235#14581748—24no—
236#14581748—24no—
237#14581748—24no—
238#14581748—24no—
239C2×C4⋊Dic83C2311yescharacteristic
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
242C2×C4⋊Dic83C2311yescharacteristic
243C2×C4⋊Dic83C2311yescharacteristic
244C2×C4⋊Dic83C2311yescharacteristic
245C2×C4⋊Dic83C2311yescharacteristic
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×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×C22⋊Dic83—24no—
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×C22⋊Dic83C2311yescharacteristic
279C2×C22⋊Dic83C2311yescharacteristic
280C2×C22⋊Dic83C2311yescharacteristic
281C2×C22⋊Dic83C2311yescharacteristic
282C2×C22⋊Dic83C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×C4×Dic83—24no—
292C2×C4×Dic83—24no—
293C2×C4×Dic83—24no—
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C2×C4×Dic83C2311yescharacteristic
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C2×C4×Dic83C2311yescharacteristic
305C2×C4×Dic83C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
308C2×C4×Dic83C2311yescharacteristic
309C2×C4×Dic83C2311yescharacteristic
310C2×C4×Dic83C2311yescharacteristic
311C42×D83—24no—
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C25×C83C2311yescharacteristic
347C22×D4×C83C2311yescharacteristic
348C22×D4×C83C2311yescharacteristic
349C22×D4×C83C2311yescharacteristic
350C23×C4×C83C2311yescharacteristic
351C23×C4×C83C2311yescharacteristic
352C23×C4×C83C2311yescharacteristic
353#123×C83—24no—
354#120×C83—24no—
355C4×D4×C83—24no—
356C2×C4⋊C4×C83C2311yescharacteristic
357C2×C4⋊C4×C83C2311yescharacteristic
358C2×C4⋊C4×C83C2311yescharacteristic
359C2×C4⋊C4×C83C2311yescharacteristic
360C2×C4⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83—24no—
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C22⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83C2311yescharacteristic
368C2×C22⋊C4×C83C2311yescharacteristic
369C2×C22⋊C4×C83C2311yescharacteristic
370C2×C22⋊C4×C83C2311yescharacteristic
371C2×C22⋊C4×C83C2311yescharacteristic
372C2×C22⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C22⋊C4×C83C2311yescharacteristic
376C2×C22⋊C4×C83C2311yescharacteristic
377C2×C22⋊C4×C83C2311yescharacteristic
378C2×C42×C83C2311yescharacteristic
379#95×C83C2311yescharacteristic
380#95×C83C2311yescharacteristic
381#95×C83C2311yescharacteristic
382#95×C83C2311yescharacteristic
383#95×C83C2311yescharacteristic
384#95×C83C2311yescharacteristic
385C23×D83C2411yescharacteristic
386#13050589—232no—
387C2×Dic166—22no—
388C2×Dic166—22no—
389C2×Dic166C2×D414yes—
390C2×C22⋊D83—22no—
391C2×C22⋊D83—22no—
392C2×C22⋊D83—22no—
393C2×C22⋊D83—22no—
394C2×C22⋊D83—22no—
395C2×C22⋊D83—22no—
396C2×C22⋊D83—22no—
397C2×C22⋊D83—22no—
398C2×C22⋊D83—41no—
399C2×C22⋊D83—41no—
400C2×C22⋊D83C2×D414yes—
401C2×C22⋊D83C2×D414yes—
402C22×Dic83—22no—
403C22×Dic83—22no—
404C22×Dic83—22no—
405C22×Dic83—22no—
406C22×Dic83—22no—
407C22×Dic83—22no—
408C22×Dic83—22no—
409C22×Dic83—22no—
410C22×Dic83—22no—
411C22×Dic83—22no—
412C22×Dic83—22no—
413C22×Dic83—22no—
414C22×Dic83—22no—
415C22×Dic83—22no—
416C22×Dic83—22no—
417C22×Dic83—22no—
418C22×Dic83—22no—
419C22×Dic83—22no—
420C22×Dic83—22no—
421C22×Dic83—22no—
422C22×Dic83—22no—
423C22×Dic83—22no—
424C22×Dic83—22no—
425C22×Dic83—41no—
426C22×Dic83—41no—
427C22×Dic83—41no—
428C22×Dic83—416no—
429C22×Dic83C2×D414yes—
430C22×Dic83C2×D414yes—
431C22×Dic83#4114yes—
432C22×Dic83#4114yes—
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
440C22×Dic83C2411yescharacteristic
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C22×Dic83C2411yescharacteristic
448C2×C4×D83—22no—
449C2×C4×D83—22no—
450C2×C4×D83—22no—
451C2×C4×D83—22no—
452C2×C4×D83—22no—
453C2×C4×D83—22no—
454C2×C4×D83—41no—
455C2×C4×D83—41no—
456C2×C4×D83C2×D414yes—
457C4⋊Dic83—22no—
458C4⋊Dic83—22no—
459C4⋊Dic83—22no—
460C4⋊Dic83—22no—
461C4⋊Dic83—22no—
462C4⋊Dic83—41no—
463C4⋊Dic83—41no—
464Dic83⋊C4—22no—
465Dic83⋊C4—22no—
466Dic83⋊C4—22no—
467Dic83⋊C4—22no—
468Dic83⋊C4—22no—
469Dic83⋊C4—22no—
470Dic83⋊C4—22no—
471Dic83⋊C4—22no—
472Dic83⋊C4—22no—
473Dic83⋊C4—22no—
474Dic83⋊C4—22no—
475Dic83⋊C4—22no—
476Dic83⋊C4—22no—
477Dic83⋊C4—22no—
478Dic83⋊C4—41no—
479Dic83⋊C4—41no—
480Dic83⋊C4—41no—
481Dic83⋊C4—41no—
482C22⋊Dic83—22no—
483C22⋊Dic83—22no—
484C22⋊Dic83—22no—
485C22⋊Dic83—22no—
486C22⋊Dic83—22no—
487C22⋊Dic83—22no—
488C22⋊Dic83—22no—
489C22⋊Dic83—22no—
490C22⋊Dic83—22no—
491C22⋊Dic83—22no—
492C22⋊Dic83—22no—
493C22⋊Dic83—22no—
494C22⋊Dic83—22no—
495C22⋊Dic83—22no—
496C22⋊Dic83—41no—
497C22⋊Dic83—41no—
498C22⋊Dic83—41no—
499C22⋊Dic83#4114yescomplemented
500(C2×D83)⋊C4—22no—
501(C2×D83)⋊C4—22no—
502(C2×D83)⋊C4—22no—
503(C2×D83)⋊C4—22no—
504(C2×D83)⋊C4—22no—
505(C2×D83)⋊C4—22no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508C4×Dic83—22no—
509C4×Dic83—22no—
510C4×Dic83—22no—
511C4×Dic83—22no—
512C4×Dic83—22no—
513C4×Dic83—22no—
514C4×Dic83—22no—
515C4×Dic83—22no—
516C4×Dic83—22no—
517C4×Dic83—22no—
518C4×Dic83—22no—
519C4×Dic83—22no—
520C4×Dic83—22no—
521C4×Dic83—22no—
522C4×Dic83—22no—
523C4×Dic83—22no—
524C4×Dic83—22no—
525C24×C83—22no—
526C24×C83—22no—
527C24×C83—22no—
528C24×C83—22no—
529C24×C83—22no—
530C24×C83—41no—
531C24×C83—41no—
532C24×C83C2411yescharacteristic
533C24×C83C2411yescharacteristic
534C24×C83C2411yescharacteristic
535C24×C83C2411yescharacteristic
536C2×D4×C83—22no—
537C2×D4×C83—22no—
538C2×D4×C83—22no—
539C2×D4×C83—22no—
540C2×D4×C83—22no—
541C2×D4×C83—22no—
542C2×D4×C83—41no—
543C2×D4×C83—41no—
544C2×D4×C83C2×D414yes—
545C22×C4×C83—22no—
546C22×C4×C83—22no—
547C22×C4×C83—22no—
548C22×C4×C83—22no—
549C22×C4×C83—22no—
550C22×C4×C83—22no—
551C22×C4×C83—41no—
552C22×C4×C83—41no—
553C22×C4×C83—41no—
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22×C4×C83C2411yescharacteristic
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564C22×C4×C83C2411yescharacteristic
565C4⋊C4×C83—22no—
566C4⋊C4×C83—22no—
567C4⋊C4×C83—22no—
568C4⋊C4×C83—41no—
569C4⋊C4×C83—41no—
570C22⋊C4×C83—22no—
571C22⋊C4×C83—22no—
572C22⋊C4×C83—22no—
573C22⋊C4×C83—22no—
574C22⋊C4×C83—22no—
575C22⋊C4×C83—22no—
576C22⋊C4×C83—22no—
577C22⋊C4×C83—22no—
578C22⋊C4×C83—22no—
579C22⋊C4×C83—22no—
580C22⋊C4×C83—22no—
581C22⋊C4×C83—22no—
582C22⋊C4×C83—41no—
583C22⋊C4×C83—41no—
584C22⋊C4×C83—41no—
585C22⋊C4×C83#4114yescomplemented
586C42×C83—22no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—28no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83—21no—
599C23×C83—21no—
600C23×C83—21no—
601C23×C83—21no—
602C23×C83—21no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—44no—
611C23×C83—44no—
612C23×C83—44no—
613C23×C83—44no—
614C23×C83—44no—
615C23×C83—44no—
616C23×C83C22×D412yes—
617C23×C83C22×D412yes—
618C23×C83C2×#4112yes—
619C23×C83C2×#4112yes—
620C23×C83C2×#4112yes—
621C23×C83C2×#4112yes—
622C23×C83C2511yescharacteristic
623C22×D83—21no—
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×D83—21no—
629C22×D83C22×D412yes—
630D4×C83—28no—
631D4×C83—44no—
632D4×C83—44no—
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—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—44no—
664C2×C4×C83—44no—
665C2×C4×C83—44no—
666C2×C4×C83C22×D412yes—
667C2×C4×C83C2×#4112yes—
668C2×C4×C83C2×#4112yes—
669C22⋊D83—28no—
670C22⋊D83—28no—
671C22⋊D83—44no—
672C22⋊D83—44no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—28no—
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—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—44no—
711C2×Dic83—44no—
712C2×Dic83—44no—
713C2×Dic83—44no—
714C2×Dic83—44no—
715C2×Dic83—44no—
716C2×Dic83—44no—
717C2×Dic83—44no—
718C2×Dic83#123116yescomplemented
719C2×Dic83C22×D412yes—
720C2×Dic83C22×D412yes—
721C2×Dic83C22×D412yes—
722C2×Dic83C2×#4112yes—
723C2×Dic83C2×#4112yes—
724C2×Dic83C2×#4112yes—
725C2×Dic83C2×#4112yes—
726C2×Dic83C2×#4112yes—
727C2×Dic83C2×#4112yes—
728C4×D83—28no—
729C4×D83—44no—
730C4×D83—44no—
731Dic166—28no—
732C22×C83—22no—
733C22×C83—22no—
734C22×C83—22no—
735C22×C83—22no—
736C22×C83—22no—
737C22×C83—22no—
738C22×C83—22no—
739C22×C83—22no—
740C22×C83—22no—
741C22×C83—22no—
742C22×C83—22no—
743C22×C83—22no—
744C22×C83—22no—
745C22×C83—22no—
746C22×C83—22no—
747C22×C83—416no—
748C22×C83—41no—
749C22×C83—41no—
750C22×C83—41no—
751C22×C83—41no—
752C22×C83—41no—
753C22×C83—41no—
754C22×C83—41no—
755C22×C83—41no—
756C22×C83—41no—
757C22×C83—41no—
758C22×C83—41no—
759C22×C83—41no—
760C22×C83C2×#12314yes—
761C22×C83C23×D411yescharacteristic
762C22×C83C22×#4111yescharacteristic
763C22×C83C22×#4111yescharacteristic
764C22×C83C22×#4111yescharacteristic
765C22×C83C22×#4111yescharacteristic
766C22×C83#58511yescharacteristic
767C22×C83#58511yescharacteristic
768C2×D83—22no—
769C2×D83—22no—
770C2×D83—22no—
771C2×D83—41no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83—41no—
775C4×C83—22no—
776C4×C83—22no—
777C4×C83—22no—
778C4×C83—41no—
779C4×C83—41no—
780C4×C83—41no—
781C4×C83—41no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786Dic83—22no—
787Dic83—22no—
788Dic83—22no—
789Dic83—41no—
790Dic83—41no—
791Dic83—41no—
792Dic83—41no—
793Dic83—41no—
794Dic83—41no—
795Dic83—41no—
796Dic83—41no—
797Dic83—41no—
798Dic83—41no—
799Dic83C2×#12314yes—
800Dic83C2×#12314yes—
801#34742—831nomaximal, Sylow
802C2×C83—24no—
803C2×C83—42no—
804C2×C83—42no—
805C2×C83—42no—
806C2×C83C22×#12311yescharacteristic
807C2×C83#344411yescharacteristic
808C2×C83#345511yescharacteristic
809C2×C83D4×#4111yescharacteristic
810C2×C83D4×#4111yescharacteristic
811C2×C83#347511yescharacteristic
812C2×C83#347511yescharacteristic
813D83—42no—
814C2×#525—831no—
815C2×C4×#41—831no—
816#2423—831no—
817#2423—831no—
818#2422—831no—
819#2422—831no—
820#2421—831no—
821#2421—831no—
822#2420—831no—
823#2420—831no—
824#2419—831no—
825#2419—831no—
826#2419—831no—
827#2419—831no—
828#2418—831no—
829#2418—831no—
830#2418—831no—
831#2418D8311yescharacteristic, complemented
832#2395—831no—
833#2395—831no—
834#2395—831no—
835#2395—831no—
836C4×#123—831no—
837C4×#123—831no—
838C4×#123—831no—
839C4×#123—831no—
840#2297—831no—
841#2296—831no—
842#2285—831no—
843#2280—831no—
844C2×C4×C22⋊C4—831no—
845C83#3474211yescharacteristic, complemented, Sylow
846C22×#41—831no—
847C24×C4—831no—
848#525—1668no—
849C2×#123—831no—
850C2×#123—831no—
851C2×#123—831no—
852C2×#123—831no—
853C2×#123—831no—
854C2×#123C2×D8311yescharacteristic
855C2×C22⋊Q8—831no—
856C2×C22⋊Q8—831no—
857C2×#121—831no—
858C2×#121—831no—
859C2×#120—831no—
860C2×#120C2×D8311yescharacteristic
861C4×#41—1668no—
862C2×C4×Q8—831no—
863C2×C4×Q8—831no—
864C2×C4×D4—831no—
865C2×C4×D4—831no—
866C2×C4×D4—831no—
867C2×C4×D4—831no—
868C2×C4×D4—831no—
869C2×C4×D4—831no—
870C2×C4×D4—831no—
871C2×C4×D4—831no—
872C2×C4×D4—831no—
873C2×C4×D4C2×D8311yescharacteristic
874C2×#117—831no—
875C2×#117—831no—
876C2×#117—831no—
877C2×#117—831no—
878C2×#117—831no—
879C22×C22⋊C4—831no—
880C22×C22⋊C4C2×D8311yescharacteristic
881C22×C42—831no—
882C22×C42—831no—
883C22×C42—831no—
884C22×C42—831no—
885#400—831no—
886#400—831no—
887#400—831no—
888#400—831no—
889#399—831no—
890#399—831no—
891#399—831no—
892#399C2×D8311yescharacteristic
893#398—831no—
894#398—831no—
895#398—831no—
896#398—831no—
897#397—831no—
898#397—831no—
899#397—831no—
900#397—831no—
901#397—831no—
902#397—831no—
903#397—831no—
904#397—831no—
905#397—831no—
906#397—831no—
907#397—831no—
908#397C2×D8311yescharacteristic
909#394—831no—
910#394—831no—
911#394—831no—
912#394—831no—
913#394—831no—
914#394—831no—
915#394C2×D8311yescharacteristic
916#394C2×D8311yescharacteristic
917#391—831no—
918#391—831no—
919#390—831no—
920#390—831no—
921#389—831no—
922#389—831no—
923#389—831no—
924#389—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#386—831no—
942#386—831no—
943#386—831no—
944#386—831no—
945#386—831no—
946#386—831no—
947#386C2×D8311yescharacteristic
948#386C2×D8311yescharacteristic
949#385—831no—
950#385—831no—
951#385—831no—
952#385—831no—
953#385—831no—
954#385—831no—
955#385—831no—
956#385C2×D8311yescharacteristic
957#384—831no—
958#384—831no—
959#382—831no—
960#382—831no—
961#381—831no—
962#381—831no—
963#381—831no—
964#381—831no—
965#381—831no—
966#381—831no—
967#380—831no—
968#380—831no—
969#380—831no—
970#380—831no—
971#380—831no—
972#380—831no—
973#380—831no—
974#380C2×D8311yescharacteristic
975#379—831no—
976#379C2×D8311yescharacteristic
977C4×C4⋊C4—831no—
978C4×C4⋊C4—831no—
979C4×C4⋊C4—831no—
980C4×C4⋊C4—831no—
981C4×C4⋊C4—831no—
982C4×C4⋊C4—831no—
983C4×C4⋊C4—831no—
984C4×C4⋊C4—831no—
985C4×C22⋊C4—831no—
986C4×C22⋊C4—831no—
987C4×C22⋊C4—831no—
988C4×C22⋊C4—831no—
989C4×C22⋊C4—831no—
990C4×C22⋊C4—831no—
991C4×C22⋊C4—831no—
992C4×C22⋊C4—831no—
993C4×C22⋊C4—831no—
994C4×C22⋊C4—831no—
995C4×C22⋊C4—831no—
996C4×C22⋊C4—831no—
997C4×C22⋊C4—831no—
998C4×C22⋊C4—831no—
999C4×C22⋊C4—831no—
1000C4×C22⋊C4—831no—
1001C2×#95—831no—
1002C2×#95—831no—
1003C25C22×D8311yescharacteristic
1004C2×#41—838no—
1005C2×#41—1664no—
1006C2×#41—1664no—
1007C22×Q8—831no—
1008C22×D4—831no—
1009C22×D4—831no—
1010C22×D4—831no—
1011C22×D4—831no—
1012C22×D4C22×D8311yescharacteristic
1013C22×D4C22×D8311yescharacteristic
1014C22×D4C22×D8311yescharacteristic
1015C23×C4—831no—
1016C23×C4—831no—
1017C23×C4—831no—
1018C23×C4—831no—
1019C23×C4—831no—
1020C23×C4—831no—
1021C23×C4—831no—
1022C23×C4—831no—
1023C23×C4—831no—
1024C23×C4—831no—
1025C23×C4—831no—
1026C23×C4—831no—
1027C23×C4—831no—
1028C23×C4—1664no—
1029C23×C4—1664no—
1030C23×C4—1664no—
1031C23×C4C22×D8311yescharacteristic
1032C23×C4C22×D8311yescharacteristic
1033C23×C4C22×D8311yescharacteristic
1034#123—24no—
1035#123—1664no—
1036#123—1664no—
1037#123—1664no—
1038#123—1664no—
1039#123—1664no—
1040C22⋊Q8—1664no—
1041C22⋊Q8—1664no—
1042#121—1664no—
1043#121—1664no—
1044#120—24no—
1045#120—1664no—
1046C4×Q8—1664no—
1047C4×Q8—1664no—
1048C4×D4—24no—
1049C4×D4—1664no—
1050C4×D4—1664no—
1051C4×D4—1664no—
1052C4×D4—1664no—
1053C4×D4—1664no—
1054C4×D4—1664no—
1055C4×D4—1664no—
1056C4×D4—1664no—
1057C4×D4—1664no—
1058#117—1664no—
1059#117—1664no—
1060#117—1664no—
1061#117—1664no—
1062#117—1664no—
1063C2×C4⋊C4—831no—
1064C2×C4⋊C4—831no—
1065C2×C4⋊C4—831no—
1066C2×C4⋊C4—831no—
1067C2×C4⋊C4—831no—
1068C2×C4⋊C4—831no—
1069C2×C4⋊C4—831no—
1070C2×C4⋊C4—831no—
1071C2×C4⋊C4—831no—
1072C2×C4⋊C4—831no—
1073C2×C4⋊C4—831no—
1074C2×C4⋊C4—831no—
1075C2×C4⋊C4—831no—
1076C2×C4⋊C4—831no—
1077C2×C4⋊C4—831no—
1078C2×C4⋊C4—831no—
1079C2×C4⋊C4—831no—
1080C2×C4⋊C4—831no—
1081C2×C4⋊C4—831no—
1082C2×C4⋊C4—831no—
1083C2×C4⋊C4—831no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4C22×D8311yescharacteristic
1089C2×C4⋊C4C22×D8311yescharacteristic
1090C2×C4⋊C4C22×D8311yescharacteristic
1091C2×C4⋊C4C22×D8311yescharacteristic
1092C2×C4⋊C4C22×D8311yescharacteristic
1093C2×C22⋊C4—24no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4—831no—
1099C2×C22⋊C4—831no—
1100C2×C22⋊C4—831no—
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—1664no—
1121C2×C22⋊C4C22×D8311yescharacteristic
1122C2×C22⋊C4C22×D8311yescharacteristic
1123C2×C22⋊C4C22×D8311yescharacteristic
1124C2×C22⋊C4C22×D8311yescharacteristic
1125C2×C22⋊C4C22×D8311yescharacteristic
1126C2×C22⋊C4C22×D8311yescharacteristic
1127C2×C22⋊C4C22×D8311yescharacteristic
1128C2×C22⋊C4C22×D8311yescharacteristic
1129C2×C22⋊C4C22×D8311yescharacteristic
1130C2×C22⋊C4C22×D8311yescharacteristic
1131C2×C22⋊C4C22×D8311yescharacteristic
1132C2×C22⋊C4C22×D8311yescharacteristic
1133C2×C22⋊C4C22×D8311yescharacteristic
1134C2×C22⋊C4C22×D8311yescharacteristic
1135C2×C22⋊C4C22×D8311yescharacteristic
1136C2×C22⋊C4C22×D8311yescharacteristic
1137C2×C42—831no—
1138C2×C42—831no—
1139C2×C42—831no—
1140C2×C42—831no—
1141C2×C42—831no—
1142C2×C42—831no—
1143C2×C42—831no—
1144C2×C42—831no—
1145C2×C42—831no—
1146C2×C42—831no—
1147C2×C42—831no—
1148C2×C42—831no—
1149C2×C42—831no—
1150C2×C42—831no—
1151C2×C42—831no—
1152C2×C42—831no—
1153C2×C42—831no—
1154C2×C42—1664no—
1155C2×C42—1664no—
1156C2×C42—1664no—
1157C2×C42—1664no—
1158C2×C42C22×D8311yescharacteristic
1159#95—831no—
1160#95—831no—
1161#95—831no—
1162#95—831no—
1163#95—831no—
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95C22×D8311yescharacteristic
1194#95C22×D8311yescharacteristic
1195#95C22×D8311yescharacteristic
1196#95C22×D8311yescharacteristic
1197#95C22×D8311yescharacteristic
1198#95C22×D8311yescharacteristic
1199C24—22no—
1200C24—22no—
1201C24—22no—
1202C24—22no—
1203C24—22no—
1204C24—41no—
1205C24—41no—
1206C24—831no—
1207C24C23×D8311yescharacteristic
1208C24C23×D8311yescharacteristic
1209C24C23×D8311yescharacteristic
1210C24C23×D8311yescharacteristic
1211#41—16632no—
1212C2×Q8—834no—
1213C2×Q8—1662no—
1214C2×Q8—1662no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—3321no—
1224C2×D4—3321no—
1225C2×D4—834no—
1226C2×D4—834no—
1227C2×D4—1662no—
1228C2×D4—1662no—
1229C2×D4—1662no—
1230C2×D4—1662no—
1231C2×D4—1662no—
1232C2×D4—1662no—
1233C2×D4—1662no—
1234C2×D4—1662no—
1235C2×D4D4×D8314yes—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—3321no—
1246C22×C4—3321no—
1247C22×C4—33216no—
1248C22×C4—3321no—
1249C22×C4—3321no—
1250C22×C4—3321no—
1251C22×C4—834no—
1252C22×C4—834no—
1253C22×C4—834no—
1254C22×C4—831no—
1255C22×C4—831no—
1256C22×C4—834no—
1257C22×C4—831no—
1258C22×C4—831no—
1259C22×C4—831no—
1260C22×C4—834no—
1261C22×C4—831no—
1262C22×C4—831no—
1263C22×C4—831no—
1264C22×C4—831no—
1265C22×C4—831no—
1266C22×C4—831no—
1267C22×C4—831no—
1268C22×C4—831no—
1269C22×C4—831no—
1270C22×C4—831no—
1271C22×C4—1662no—
1272C22×C4—1662no—
1273C22×C4—1662no—
1274C22×C4—1662no—
1275C22×C4—1662no—
1276C22×C4—1662no—
1277C22×C4—1662no—
1278C22×C4—1662no—
1279C22×C4—1662no—
1280C22×C4—1662no—
1281C22×C4—1662no—
1282C22×C4—1662no—
1283C22×C4—1662no—
1284C22×C4—1662no—
1285C22×C4—1662no—
1286C22×C4—1662no—
1287C22×C4—1662no—
1288C22×C4—1662no—
1289C22×C4—1662no—
1290C22×C4—1662no—
1291C22×C4—1662no—
1292C22×C4—1662no—
1293C22×C4—1662no—
1294C22×C4—1662no—
1295C22×C4—1662no—
1296C22×C4—1662no—
1297C22×C4—1662no—
1298C22×C4—1662no—
1299C22×C4—1662no—
1300C22×C4C23×D8311yescharacteristic
1301C22×C4C23×D8311yescharacteristic
1302C22×C4C23×D8311yescharacteristic
1303C22×C4C23×D8311yescharacteristic
1304C22×C4C23×D8311yescharacteristic
1305C22×C4C23×D8311yescharacteristic
1306C22×C4C23×D8311yescharacteristic
1307C22×C4C23×D8311yescharacteristic
1308C22×C4C23×D8311yescharacteristic
1309C22×C4C23×D8311yescharacteristic
1310C22×C4C23×D8311yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—3321no—
1317C4⋊C4—3321no—
1318C4⋊C4—3321no—
1319C4⋊C4—3321no—
1320C4⋊C4—3321no—
1321C4⋊C4—3321no—
1322C4⋊C4—1662no—
1323C4⋊C4—1662no—
1324C4⋊C4—1662no—
1325C4⋊C4—1662no—
1326C4⋊C4—1662no—
1327C4⋊C4—1662no—
1328C4⋊C4—1662no—
1329C4⋊C4—1662no—
1330C4⋊C4—1662no—
1331C4⋊C4—1662no—
1332C4⋊C4—1662no—
1333C4⋊C4—1662no—
1334C4⋊C4—1662no—
1335C4⋊C4—1662no—
1336C4⋊C4—1662no—
1337C4⋊C4—1662no—
1338C4⋊C4—1662no—
1339C4⋊C4—1662no—
1340C4⋊C4—1662no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—3321no—
1357C22⋊C4—3321no—
1358C22⋊C4—3321no—
1359C22⋊C4—3321no—
1360C22⋊C4—3321no—
1361C22⋊C4—834no—
1362C22⋊C4—1662no—
1363C22⋊C4—1662no—
1364C22⋊C4—1662no—
1365C22⋊C4—1662no—
1366C22⋊C4—1662no—
1367C22⋊C4—1662no—
1368C22⋊C4—1662no—
1369C22⋊C4—1662no—
1370C22⋊C4—1662no—
1371C22⋊C4—1662no—
1372C22⋊C4—1662no—
1373C22⋊C4—1662no—
1374C22⋊C4—1662no—
1375C22⋊C4—1662no—
1376C22⋊C4—1662no—
1377C22⋊C4—1662no—
1378C22⋊C4—1662no—
1379C22⋊C4—1662no—
1380C22⋊C4—1662no—
1381C22⋊C4—1662no—
1382C22⋊C4#1305058914yescomplemented
1383C42—22no—
1384C42—1662no—
1385C42—1662no—
1386C42—1662no—
1387C42—1662no—
1388C42—1662no—
1389C42—1662no—
1390C42—1662no—
1391C42—1662no—
1392C42—1662no—
1393C42—1662no—
1394C42—1662no—
1395C42—1662no—
1396C42—1662no—
1397C42—1662no—
1398C42—1662no—
1399C42—1662no—
1400C42—1662no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—28no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—832no—
1431C23—1661no—
1432C23—1661no—
1433C23—1661no—
1434C23—1661no—
1435C23—1661no—
1436C23—1661no—
1437C23C2×D4×D8312yes—
1438C23C2×D4×D8312yes—
1439C23#41×D8312yes—
1440C23#41×D8312yes—
1441C23#41×D8312yes—
1442C23C2×#1305058912yes—
1443C23C24×D8311yescharacteristic
1444Q8—1668no—
1445D4—28no—
1446D4—44no—
1447D4—44no—
1448D4—3324no—
1449D4—3324no—
1450D4—1668no—
1451D4—1668no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—3324no—
1486C2×C4—3324no—
1487C2×C4—3324no—
1488C2×C4—3324no—
1489C2×C4—3324no—
1490C2×C4—3324no—
1491C2×C4—3324no—
1492C2×C4—3324no—
1493C2×C4—3324no—
1494C2×C4—3324no—
1495C2×C4—8316no—
1496C2×C4—832no—
1497C2×C4—832no—
1498C2×C4—832no—
1499C2×C4—832no—
1500C2×C4—832no—
1501C2×C4—832no—
1502C2×C4—832no—
1503C2×C4—832no—
1504C2×C4—832no—
1505C2×C4—1668no—
1506C2×C4—1661no—
1507C2×C4—1661no—
1508C2×C4—1661no—
1509C2×C4—1661no—
1510C2×C4—1661no—
1511C2×C4—1661no—
1512C2×C4—1661no—
1513C2×C4—1661no—
1514C2×C4—1661no—
1515C2×C4—1661no—
1516C2×C4—1661no—
1517C2×C4—1661no—
1518C2×C4—1661no—
1519C2×C4—1661no—
1520C2×C4—1661no—
1521C2×C4—1661no—
1522C2×C4—1661no—
1523C2×C4—1661no—
1524C2×C4—1661no—
1525C2×C4—1661no—
1526C2×C4—1661no—
1527C2×C4—1661no—
1528C2×C4—1661no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4—1668no—
1537C2×C4—1661no—
1538C2×C4—1661no—
1539C2×C4—1661no—
1540C2×C4—1661no—
1541C2×C4—1661no—
1542C2×C4—1661no—
1543C2×C4C2×D4×D8312yes—
1544C2×C4C2×#1305058912yes—
1545C2×C4C2×#1305058912yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—416no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—3321no—
1575C22—3321no—
1576C22—3321no—
1577C22—3321no—
1578C22—1662no—
1579C22—1662no—
1580C22—1662no—
1581C22#123×D8314yes—
1582C22C22×D4×D8311yescharacteristic
1583C22C2×#41×D8311yescharacteristic
1584C22C2×#41×D8311yescharacteristic
1585C22C2×#41×D8311yescharacteristic
1586C22C22×#1305058911yescharacteristic
1587C22#1912853611yescharacteristic
1588C22#1912853611yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—3321no—
1601C4—3321no—
1602C4—3321no—
1603C4—3321no—
1604C4—3321no—
1605C4—3321no—
1606C4—3321no—
1607C4—3321no—
1608C4—3321no—
1609C4—3321no—
1610C4—834no—
1611C4—834no—
1612C4—1662no—
1613C4—1662no—
1614C4—1662no—
1615C2—24no—
1616C2—42no—
1617C2—42no—
1618C2—42no—
1619C2—3322no—
1620C2C2×#123×D8311yescharacteristic
1621C2#2492075511yescharacteristic
1622C2#2492084511yescharacteristic
1623C2D4×#1305058911yescharacteristic
1624C2#2492094711yescharacteristic
1625C2#2492101411yescharacteristic
1626C2#2492101811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2418C2
prime radicalC2×#19128207C2
hypercenter#2418D83
hypocenterC83#34742
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
2. C2×C4×#13050589C2semidirect
3. #24910985C2semidirect
4. #24910981C2semidirect
5. #24910974C2semidirect
6. #24910970C2semidirect
7. #24910963C2semidirect
8. #24910959C2semidirect
9. #24910952C2semidirect
10. #24910948C2semidirect
11. #24910946C2semidirect
12. #24910942C2semidirect
13. #24910938C2semidirect
14. #24910934C2semidirect
15. #24910929C2semidirect
16. #24910925C2semidirect
17. #24910921C2semidirect
18. #24910728C2semidirect
19. #24910725C2semidirect
20. #24910719C2semidirect
21. #24910719C2semidirect
22. #24909990C2semidirect
23. #24909990C2semidirect
24. #24909988C2semidirect
25. #123×Dic83C2semidirect
26. #24909948C2semidirect
27. #24909942C2semidirect
28. #24909865C2semidirect
29. #24909841C2semidirect
30. C2×C22⋊C4×Dic83C2semidirect
31. C83×#2418C2semidirect
46. C2×C4×Dic166C22semidirect
47. C2×#14581757C22semidirect
52. C2×C4×C22⋊D83C22semidirect
56. C2×(C22⋊D83)⋊C4C22semidirect
57. C2×#14581750C22semidirect
61. C2×#14581748C22semidirect
65. C22×C4×Dic83C22semidirect
66. C2×C42×D83C22semidirect
67. #19127643C22semidirect
68. #19127643C22semidirect
69. #19127641C22semidirect
70. #19127639C22semidirect
74. #19127634C22semidirect
75. #19127634C22semidirect
76. #19127633C22semidirect
77. #19127632C22semidirect
78. #19127630C22semidirect
79. #19127630C22semidirect
82. #19127629C22semidirect
83. #19127629C22semidirect
84. #19127627C22semidirect
85. #19127627C22semidirect
87. #19127626C22semidirect
88. #19127626C22semidirect
95. #19127605C22semidirect
96. #19127605C22semidirect
97. #19127601C22semidirect
98. #19127601C22semidirect
99. #19127598C22semidirect
100. #19127598C22semidirect
101. #19127596C22semidirect
102. #19127596C22semidirect
109. #19127588C22semidirect
110. #19127588C22semidirect
111. #19127587C22semidirect
112. #19127587C22semidirect
113. #19127586C22semidirect
114. #19127586C22semidirect
115. #19127585C22semidirect
116. #19127585C22semidirect
124. #19127576C22semidirect
126. #19127574C22semidirect
128. #19127572C22semidirect
129. #19127572C22semidirect
130. #19127570C22semidirect
131. #19127570C22semidirect
132. #19127565C22semidirect
133. #19127565C22semidirect
134. #19127564C22semidirect
135. #19127563C22semidirect
136. #19127563C22semidirect
139. #19127562C22semidirect
148. C4⋊C4×Dic83C22semidirect
149. C4⋊C4×Dic83C22semidirect
150. C4⋊C4×Dic83C22semidirect
151. C4⋊C4×Dic83C22semidirect
152. #19127552C22semidirect
153. #19127552C22semidirect
154. #19127552C22semidirect
155. #19127552C22semidirect
168. C22⋊C4×Dic83C22semidirect
169. C22⋊C4×Dic83C22semidirect
170. #19127548C22semidirect
171. #19127548C22semidirect
499. C22⋊Dic83#41semidirect
585. C22⋊C4×C83#41semidirect
718. C2×Dic83#123semidirect
831. #2418D83semidirect
845. C83#34742semidirect
1382. C22⋊C4#13050589semidirect

Maximal subgroups

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

subgroupindex
C2×#191282072
C2×C4×#130505892
#249109852
#249109812
#249109742
#249109702
#249109632
#249109592
#249109522
#249109482
#249109462
#249109422
#249109382
#249109342
#249109292
#249109252
#249109212
#249107282
#249107252
#249107192
#249099902
#249099882
#123×Dic832
#249099482
#249099422
#249098652
#249098412
C2×C22⋊C4×Dic832
C83×#24182
#3474283