Finite Group Databasebeta

← #35575385

Subgroups — #35575385

Order 21248.

2646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128234C211yesmaximal, characteristic, complemented
2C2×#117×D83C211yesmaximal, characteristic, complemented
3#24913159C211yesmaximal, characteristic, complemented
4#24913157C211yesmaximal, characteristic, complemented
5#24913148C211yesmaximal, characteristic, complemented
6#24913146C211yesmaximal, characteristic, complemented
7#24913062C211yesmaximal, characteristic, complemented
8#24913060C211yesmaximal, characteristic, complemented
9#24913054C211yesmaximal, characteristic, complemented
10#24912941C211yesmaximal, characteristic, complemented
11#24912841C211yesmaximal, characteristic, complemented
12#24912619C211yesmaximal, characteristic, complemented
13#24912392C211yesmaximal, characteristic
14#24910865C211yesmaximal, characteristic, complemented
15#24910863C211yesmaximal, characteristic, complemented
16#24910843C211yesmaximal, characteristic, complemented
17#24910841C211yesmaximal, characteristic, complemented
18#24910740C211yesmaximal, characteristic, complemented
19#24910738C211yesmaximal, characteristic, complemented
20#24910708C211yesmaximal, characteristic, complemented
21#24910706C211yesmaximal, characteristic, complemented
22#24909990C211yesmaximal, characteristic, complemented
23#24909984C211yesmaximal, characteristic, complemented
24#24909968C211yesmaximal, characteristic, complemented
25#24909964C211yesmaximal, characteristic, complemented
26#24909925C211yesmaximal, characteristic, complemented
27#24909923C211yesmaximal, characteristic, complemented
28#24909923C211yesmaximal, characteristic, complemented
29#24909921C211yesmaximal, characteristic, complemented
30C4×#14581750C211yesmaximal, characteristic, complemented
31C83×#2601C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33#19128234—28no—
34C2×#14581786C2211yescharacteristic, complemented
35C2×#14581782C2211yescharacteristic, complemented
36C2×#14581778C2211yescharacteristic, complemented
37C2×#14581777C2211yescharacteristic
38C2×#14581777C2211yescharacteristic
39C2×#14581774C2211yescharacteristic
40C2×#14581774C2211yescharacteristic
41C2×#14581770C2211yescharacteristic
42C2×#14581765C2211yescharacteristic
43C2×#14581762C2211yescharacteristic
44C2×#14581760C2211yescharacteristic
45C2×#14581757C2211yescharacteristic, complemented
46C2×D4×Dic83C2211yescharacteristic
47C2×#14581754C2211yescharacteristic
48C2×#14581754C2211yescharacteristic
49C2×(C22⋊D83)⋊C4C2211yescharacteristic
50C2×(C22⋊D83)⋊C4C2211yescharacteristic
51C2×(C22⋊D83)⋊C4C2211yescharacteristic
52C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
53C2×#14581751C2211yescharacteristic
54C2×#14581750C2211yescharacteristic
55C2×#14581750C2211yescharacteristic
56C2×#14581750C2211yescharacteristic
57C2×#14581750C2211yescharacteristic
58C2×#14581750C2211yescharacteristic, complemented
59C2×#14581749C2211yescharacteristic
60C2×#14581749C2211yescharacteristic
61C2×#14581748C2211yescharacteristic
62C2×#14581748C2211yescharacteristic
63C2×#14581748C2211yescharacteristic, complemented
64#117×D83—28no—
65C2×C4⋊C4×D83C2211yescharacteristic
66C2×C4⋊C4×D83C2211yescharacteristic
67C2×C22⋊C4×D83C2211yescharacteristic
68C2×C22⋊C4×D83C2211yescharacteristic
69C2×C42×D83C2211yescharacteristic
70C2×C42×D83C2211yescharacteristic
71#19127643C2211yescharacteristic, complemented
72#19127642C2211yescharacteristic, complemented
73#19127637C2211yescharacteristic
74#19127636C2211yescharacteristic
75#19127635C2211yescharacteristic, complemented
76#19127634C2211yescharacteristic, complemented
77#19127634C2211yescharacteristic, complemented
78#19127634C2211yescharacteristic, complemented
79#19127631C2211yescharacteristic, complemented
80#19127630C2211yescharacteristic
81#19127629C2211yescharacteristic
82#19127624C2211yescharacteristic
83#19127624C2211yescharacteristic, complemented
84#19127623C2211yescharacteristic
85#19127623C2211yescharacteristic
86#19127623C2211yescharacteristic, complemented
87#19127623C2211yescharacteristic, complemented
88#19127622C2211yescharacteristic, complemented
89#19127621C2211yescharacteristic, complemented
90#19127618C2211yescharacteristic
91#19127617C2211yescharacteristic
92#19127617C2211yescharacteristic
93#19127617C2211yescharacteristic, complemented
94#19127616C2211yescharacteristic, complemented
95#19127614C2211yescharacteristic
96#19127613C2211yescharacteristic
97#19127610C2211yescharacteristic
98#19127609C2211yescharacteristic
99#19127604C2211yescharacteristic
100#19127603C2211yescharacteristic
101#19127602C2211yescharacteristic
102#19127601C2211yescharacteristic
103#19127601C2211yescharacteristic
104#19127601C2211yescharacteristic
105#19127601C2211yescharacteristic
106#19127600C2211yescharacteristic, complemented
107#19127599C2211yescharacteristic, complemented
108#19127598C2211yescharacteristic, complemented
109#19127598C2211yescharacteristic, complemented
110#19127597C2211yescharacteristic, complemented
111#19127596C2211yescharacteristic, complemented
112#19127596C2211yescharacteristic, complemented
113#19127595C2211yescharacteristic
114#19127595C2211yescharacteristic, complemented
115#19127594C2211yescharacteristic
116#19127594C2211yescharacteristic, complemented
117#19127593C2211yescharacteristic
118#19127593C2211yescharacteristic, complemented
119#19127593C2211yescharacteristic, complemented
120#19127592C2211yescharacteristic
121#19127592C2211yescharacteristic, complemented
122#19127592C2211yescharacteristic, complemented
123#19127591C2211yescharacteristic
124#19127591C2211yescharacteristic, complemented
125#19127590C2211yescharacteristic
126#19127590C2211yescharacteristic, complemented
127#19127589C2211yescharacteristic
128#19127589C2211yescharacteristic, complemented
129#19127589C2211yescharacteristic, complemented
130#19127586C2211yescharacteristic, complemented
131#19127585C2211yescharacteristic, complemented
132#19127582C2211yescharacteristic, complemented
133#19127580C2211yescharacteristic
134#19127579C2211yescharacteristic
135#19127579C2211yescharacteristic
136#19127579C2211yescharacteristic
137#19127577C2211yescharacteristic
138#19127577C2211yescharacteristic
139#19127577C2211yescharacteristic
140#19127575C2211yescharacteristic
141#19127575C2211yescharacteristic
142#19127575C2211yescharacteristic
143#19127574C2211yescharacteristic
144#19127572C2211yescharacteristic
145#19127572C2211yescharacteristic
146#19127572C2211yescharacteristic
147#19127563C2211yescharacteristic
148#19127563C2211yescharacteristic
149#19127556C2211yescharacteristic
150#19127556C2211yescharacteristic
151C4⋊C4×Dic83C2211yescharacteristic, complemented
152C4⋊C4×Dic83C2211yescharacteristic, complemented
153C4⋊C4×Dic83C2211yescharacteristic, complemented
154C4⋊C4×Dic83C2211yescharacteristic, complemented
155C4×C4⋊Dic83C2211yescharacteristic, complemented
156#19127552C2211yescharacteristic, complemented
157#19127552C2211yescharacteristic, complemented
158C22⋊C4×Dic83C2211yescharacteristic
159C22⋊C4×Dic83C2211yescharacteristic
160C22⋊C4×Dic83C2211yescharacteristic, complemented
161C22⋊C4×Dic83C2211yescharacteristic, complemented
162C4×(C2×D83)⋊C4C2211yescharacteristic
163C4×(C2×D83)⋊C4C2211yescharacteristic
164#19127548C2211yescharacteristic
165#19127548C2211yescharacteristic
166#19127548C2211yescharacteristic
167#19127548C2211yescharacteristic
168#19127548C2211yescharacteristic, complemented
169#19127548C2211yescharacteristic, complemented
170#19127546C2211yescharacteristic, complemented
171#19127546C2211yescharacteristic, complemented
172C42×Dic83C2211yescharacteristic, complemented
173C42×Dic83C2211yescharacteristic, complemented
174C2×#126×C83C2211yescharacteristic, complemented
175C2×#117×C83C2211yescharacteristic
176#398×C83C2211yescharacteristic, complemented
177#396×C83C2211yescharacteristic
178#396×C83C2211yescharacteristic, complemented
179#394×C83C2211yescharacteristic
180#390×C83C2211yescharacteristic
181#389×C83C2211yescharacteristic, complemented
182#388×C83C2211yescharacteristic
183#388×C83C2211yescharacteristic, complemented
184#388×C83C2211yescharacteristic, complemented
185#387×C83C2211yescharacteristic, complemented
186#386×C83C2211yescharacteristic
187#385×C83C2211yescharacteristic
188C4×C4⋊C4×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C22×Dic166C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198C23×Dic83C2311yescharacteristic
199C22×C4×D83—24no—
200C22×C4×D83—24no—
201C22×C4×D83—24no—
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211#14581786—24no—
212#14581782—24no—
213#14581778—24no—
214#14581777—24no—
215#14581777—24no—
216#14581774—24no—
217#14581774—24no—
218#14581770—24no—
219#14581765—24no—
220#14581762—24no—
221#14581760—24no—
222#14581757—24no—
223D4×Dic83—24no—
224#14581754—24no—
225#14581754—24no—
226(C22⋊D83)⋊C4—24no—
227(C22⋊D83)⋊C4—24no—
228(C22⋊D83)⋊C4—24no—
229(C22⋊D83)⋊C4—24no—
230#14581751—24no—
231#14581750—24no—
232#14581750—24no—
233#14581750—24no—
234#14581750—24no—
235#14581750—24no—
236#14581749—24no—
237#14581749—24no—
238#14581748—24no—
239#14581748—24no—
240#14581748—24no—
241C2×C4⋊Dic83C2311yescharacteristic
242C2×C4⋊Dic83C2311yescharacteristic
243C2×C4⋊Dic83C2311yescharacteristic
244C2×C4⋊Dic83C2311yescharacteristic
245C2×C4⋊Dic83C2311yescharacteristic
246C2×C4⋊Dic83C2311yescharacteristic
247C2×C4⋊Dic83C2311yescharacteristic
248C2×C4⋊Dic83C2311yescharacteristic
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×Dic83⋊C4C2311yescharacteristic
265C4⋊C4×D83—24no—
266C4⋊C4×D83—24no—
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×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C22⋊C4×D83—24no—
303C22⋊C4×D83—24no—
304C2×C4×Dic83C2311yescharacteristic
305C2×C4×Dic83C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
308C2×C4×Dic83C2311yescharacteristic
309C2×C4×Dic83C2311yescharacteristic
310C2×C4×Dic83C2311yescharacteristic
311C2×C4×Dic83C2311yescharacteristic
312C2×C4×Dic83C2311yescharacteristic
313C2×C4×Dic83C2311yescharacteristic
314C2×C4×Dic83C2311yescharacteristic
315C2×C4×Dic83C2311yescharacteristic
316C2×C4×Dic83C2311yescharacteristic
317C2×C4×Dic83C2311yescharacteristic
318C2×C4×Dic83C2311yescharacteristic
319C2×C4×Dic83C2311yescharacteristic
320C2×C4×Dic83C2311yescharacteristic
321C2×C4×Dic83C2311yescharacteristic
322C42×D83—24no—
323C42×D83D418yescomplemented
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
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C22×D4×C83C2311yescharacteristic
349C23×C4×C83C2311yescharacteristic
350#126×C83—24no—
351#117×C83—24no—
352C2×C4⋊C4×C83C2311yescharacteristic
353C2×C4⋊C4×C83C2311yescharacteristic
354C2×C4⋊C4×C83C2311yescharacteristic
355C2×C4⋊C4×C83C2311yescharacteristic
356C2×C4⋊C4×C83C2311yescharacteristic
357C2×C4⋊C4×C83C2311yescharacteristic
358C2×C4⋊C4×C83C2311yescharacteristic
359C2×C4⋊C4×C83C2311yescharacteristic
360C2×C4⋊C4×C83C2311yescharacteristic
361C2×C4⋊C4×C83C2311yescharacteristic
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×C42×C83C2311yescharacteristic
374C2×C42×C83C2311yescharacteristic
375C2×C42×C83C2311yescharacteristic
376C2×C42×C83C2311yescharacteristic
377#95×C83C2311yescharacteristic
378#95×C83C2311yescharacteristic
379#95×C83C2311yescharacteristic
380#95×C83C2311yescharacteristic
381#95×C83C2311yescharacteristic
382#95×C83C2311yescharacteristic
383#95×C83C2311yescharacteristic
384#95×C83C2311yescharacteristic
385C23×D83—22no—
386C23×D83—22no—
387C23×D83—22no—
388C23×D83—22no—
389C23×D83—22no—
390C23×D83—41no—
391C23×D83—41no—
392C23×D83C2411yescharacteristic
393C23×D83C2411yescharacteristic
394C23×D83C2411yescharacteristic
395C2×Dic166—22no—
396C2×Dic166—41no—
397C2×Dic166—41no—
398C2×D332—22no—
399C2×D332—22no—
400C2×D332—22no—
401C2×D332—22no—
402C2×D332—22no—
403C2×D332—41no—
404C2×C22⋊D83—22no—
405C2×C22⋊D83—22no—
406C2×C22⋊D83—22no—
407C2×C22⋊D83—22no—
408C2×C22⋊D83—22no—
409C2×C22⋊D83—22no—
410C2×C22⋊D83—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—41no—
413C2×C22⋊D83—41no—
414C2×C22⋊D83—41no—
415C2×C22⋊D83—41no—
416C22×Dic83—22no—
417C22×Dic83—22no—
418C22×Dic83—22no—
419C22×Dic83—22no—
420C22×Dic83—22no—
421C22×Dic83#4114yes—
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C2×C4×D83—232no—
436C2×C4×D83—22no—
437C2×C4×D83—22no—
438C2×C4×D83—22no—
439C2×C4×D83—22no—
440C2×C4×D83—22no—
441C2×C4×D83—22no—
442C2×C4×D83—22no—
443C2×C4×D83—22no—
444C2×C4×D83—22no—
445C2×C4×D83—22no—
446C2×C4×D83—22no—
447C2×C4×D83—22no—
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—22no—
455C2×C4×D83—41no—
456C2×C4×D83—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83C2×D414yes—
460C2×C4×D83C2×D414yes—
461C2×C4×D83C2×D414yes—
462C2×C4×D83#4114yes—
463C4⋊Dic83—22no—
464C4⋊Dic83—22no—
465C4⋊Dic83—22no—
466C4⋊Dic83—22no—
467C4⋊Dic83—22no—
468C4⋊Dic83—22no—
469C4⋊Dic83—22no—
470C4⋊Dic83—41no—
471Dic83⋊C4—22no—
472Dic83⋊C4—22no—
473Dic83⋊C4—22no—
474Dic83⋊C4—22no—
475Dic83⋊C4—22no—
476Dic83⋊C4—22no—
477Dic83⋊C4—22no—
478Dic83⋊C4—22no—
479Dic83⋊C4—22no—
480Dic83⋊C4—22no—
481Dic83⋊C4—22no—
482Dic83⋊C4—22no—
483Dic83⋊C4—22no—
484Dic83⋊C4—22no—
485Dic83⋊C4—41no—
486Dic83⋊C4—41no—
487C22⋊Dic83—22no—
488C22⋊Dic83—22no—
489C22⋊Dic83—22no—
490C22⋊Dic83—22no—
491C22⋊Dic83—22no—
492C22⋊Dic83—22no—
493C22⋊Dic83—22no—
494C22⋊Dic83—41no—
495C22⋊Dic83—41no—
496(C2×D83)⋊C4—22no—
497(C2×D83)⋊C4—22no—
498(C2×D83)⋊C4—22no—
499(C2×D83)⋊C4—22no—
500(C2×D83)⋊C4—22no—
501(C2×D83)⋊C4—22no—
502(C2×D83)⋊C4—22no—
503(C2×D83)⋊C4—22no—
504(C2×D83)⋊C4—22no—
505(C2×D83)⋊C4—22no—
506(C2×D83)⋊C4—22no—
507(C2×D83)⋊C4—22no—
508(C2×D83)⋊C4—22no—
509(C2×D83)⋊C4—22no—
510(C2×D83)⋊C4—22no—
511(C2×D83)⋊C4—22no—
512(C2×D83)⋊C4—22no—
513(C2×D83)⋊C4—22no—
514(C2×D83)⋊C4—22no—
515(C2×D83)⋊C4—22no—
516(C2×D83)⋊C4—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4#4114yes—
521(C2×D83)⋊C4#4114yes—
522C4×Dic83—22no—
523C4×Dic83—22no—
524C4×Dic83—22no—
525C4×Dic83—22no—
526C4×Dic83—22no—
527C4×Dic83—22no—
528C4×Dic83—22no—
529C4×Dic83—22no—
530C4×Dic83—22no—
531C4×Dic83—22no—
532C4×Dic83—22no—
533C4×Dic83—22no—
534C4×Dic83—22no—
535C4×Dic83—41no—
536C4×Dic83—41no—
537C4×Dic83C2×D414yes—
538C4×Dic83C2×D414yes—
539C4×Dic83C2×D414yes—
540C24×C83C2411yescharacteristic
541C24×C83C2411yescharacteristic
542C2×D4×C83—22no—
543C2×D4×C83—22no—
544C2×D4×C83—41no—
545C22×C4×C83—22no—
546C22×C4×C83—22no—
547C22×C4×C83—22no—
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C22×C4×C83C2411yescharacteristic
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C4⋊C4×C83—22no—
562C4⋊C4×C83—22no—
563C4⋊C4×C83—22no—
564C4⋊C4×C83—22no—
565C4⋊C4×C83—22no—
566C4⋊C4×C83—22no—
567C4⋊C4×C83—22no—
568C4⋊C4×C83—22no—
569C4⋊C4×C83—22no—
570C4⋊C4×C83—41no—
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—41no—
581C22⋊C4×C83—41no—
582C42×C83—22no—
583C42×C83—41no—
584C42×C83—41no—
585C42×C83C2×D414yes—
586C23×C83—21no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83—21no—
599C23×C83C2×#4112yes—
600C23×C83C2511yescharacteristic
601C22×D83—21no—
602C22×D83—21no—
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—28no—
606C22×D83—21no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—21no—
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—44no—
620C22×D83—44no—
621C22×D83—44no—
622C22×D83—44no—
623C22×D83—44no—
624C22×D83—44no—
625C22×D83C22×D412yes—
626C22×D83C2×#4112yes—
627C22×D83C2×#4112yes—
628C22×D83C2×#4112yes—
629D4×C83—44no—
630C2×C4×C83—28no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—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—21no—
664C2×C4×C83C22×D412yes—
665C2×C4×C83C22×D412yes—
666C2×C4×C83C22×D412yes—
667C2×C4×C83C2×#4112yes—
668C2×C4×C83C2×#4112yes—
669C2×C4×C83C2×#4112yes—
670C22⋊D83—44no—
671C22⋊D83—44no—
672C22⋊D83—44no—
673C22⋊D83—44no—
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—28no—
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—44no—
707C2×Dic83C22×D412yes—
708C2×Dic83C22×D412yes—
709C2×Dic83C22×D412yes—
710C2×Dic83C2×#4112yes—
711C2×Dic83C2×#4112yes—
712C2×Dic83C2×#4112yes—
713C2×Dic83C2×#4112yes—
714C2×Dic83C2×#4112yes—
715D332—44no—
716D332—44no—
717C4×D83—28no—
718C4×D83—28no—
719C4×D83—28no—
720C4×D83—28no—
721C4×D83—28no—
722C4×D83—44no—
723C4×D83—44no—
724C4×D83—44no—
725C4×D83—44no—
726Dic166—44no—
727C22×C83—22no—
728C22×C83—22no—
729C22×C83—22no—
730C22×C83—41no—
731C22×C83—41no—
732C22×C83—41no—
733C22×C83—41no—
734C22×C83—41no—
735C22×C83—41no—
736C22×C83—41no—
737C22×C83—41no—
738C22×C83—41no—
739C22×C83—41no—
740C22×C83—41no—
741C22×C83C23×D411yescharacteristic
742C22×C83C22×#4111yescharacteristic
743C22×C83C22×#4111yescharacteristic
744C22×C83C22×#4111yescharacteristic
745C22×C83C22×#4111yescharacteristic
746C22×C83#58511yescharacteristic
747C22×C83#58511yescharacteristic
748C2×D83—22no—
749C2×D83—22no—
750C2×D83—22no—
751C2×D83—22no—
752C2×D83—22no—
753C2×D83—22no—
754C2×D83—22no—
755C2×D83—22no—
756C2×D83—22no—
757C2×D83—416no—
758C2×D83—41no—
759C2×D83—41no—
760C2×D83—41no—
761C2×D83—41no—
762C2×D83—41no—
763C2×D83—41no—
764C2×D83—41no—
765C2×D83—41no—
766C2×D83—41no—
767C2×D83—41no—
768C2×D83—41no—
769C2×D83#53214yes—
770C4×C83—22no—
771C4×C83—22no—
772C4×C83—22no—
773C4×C83—22no—
774C4×C83—22no—
775C4×C83—22no—
776C4×C83—41no—
777C4×C83—41no—
778C4×C83—41no—
779C4×C83—41no—
780C4×C83—41no—
781C4×C83—41no—
782C4×C83—41no—
783Dic83—22no—
784Dic83—22no—
785Dic83—22no—
786Dic83—22no—
787Dic83—22no—
788Dic83—41no—
789Dic83—41no—
790Dic83—41no—
791Dic83—41no—
792Dic83—41no—
793Dic83—41no—
794Dic83—41no—
795Dic83#52514yes—
796#34877—831nomaximal, Sylow
797C2×C83—42no—
798C2×C83—81no—
799C2×C83C2×#52511yescharacteristic
800C2×C83C2×#53211yescharacteristic
801C2×C83#344911yescharacteristic
802C2×C83#347511yescharacteristic
803C2×C83#347511yescharacteristic
804C2×C83#347511yescharacteristic
805C2×C83#347511yescharacteristic
806D83—24no—
807D83—42no—
808D83—81no—
809C2×#529—831no—
810C22×#117—831no—
811#2611—831no—
812#2611—831no—
813#2610—831no—
814#2610—831no—
815#2601—831no—
816#2601—831no—
817#2601—831no—
818#2601D8311yescharacteristic, complemented
819#2591—831no—
820#2583—831no—
821#2561—831no—
822#2539—831no—
823#2413—831no—
824#2413—831no—
825#2411—831no—
826#2411—831no—
827#2396—831no—
828#2396—831no—
829#2392—831no—
830#2392—831no—
831C4×#123—831no—
832C4×#123—831no—
833C4×#120—831no—
834C4×#120—831no—
835#2293—831no—
836#2293—831no—
837#2293—831no—
838#2293—831no—
839C4×#117—831no—
840C83#3487711yescharacteristic, complemented, Sylow
841C24×C4—831no—
842#529—1668no—
843C2×#126—831no—
844C2×#126C2×D8311yescharacteristic, complemented
845C2×#125—831no—
846C2×#124—831no—
847C2×#123—831no—
848C2×#123—831no—
849C2×#123—831no—
850C2×#123—831no—
851C2×C22⋊Q8—831no—
852C2×#121—831no—
853C2×#120—831no—
854C2×#120—831no—
855C2×C4×Q8—831no—
856C2×C4×D4—831no—
857C2×C4×D4—831no—
858C2×C4×D4—831no—
859C2×C4×D4—831no—
860C2×C4×D4—831no—
861C2×C4×D4—831no—
862C2×C4×D4—831no—
863C2×#117—831no—
864C2×#117—831no—
865C2×#117—831no—
866C2×#117—831no—
867C2×#117—831no—
868C2×#117—831no—
869C2×#117—831no—
870C2×#117—831no—
871C2×#117—831no—
872C2×#117—831no—
873C2×#117—831no—
874C2×#117—1668no—
875C2×#117C2×D8311yescharacteristic
876C22×C4⋊C4—831no—
877C22×C4⋊C4—831no—
878C22×C22⋊C4—831no—
879C22×C22⋊C4—831no—
880C22×C42—831no—
881C22×C42—831no—
882#400—831no—
883#400—831no—
884#399—831no—
885#399—831no—
886#398—831no—
887#398—831no—
888#398—831no—
889#398—831no—
890#398—831no—
891#398C2×D8311yescharacteristic, complemented
892#397—831no—
893#397—831no—
894#396—831no—
895#396—831no—
896#396—831no—
897#396—831no—
898#396—831no—
899#396—831no—
900#396C2×D8311yescharacteristic
901#396C2×D8311yescharacteristic, complemented
902#395—831no—
903#395—831no—
904#394—831no—
905#394—831no—
906#394—831no—
907#394—831no—
908#394—831no—
909#394C2×D8311yescharacteristic
910#393—831no—
911#393—831no—
912#392—831no—
913#392—831no—
914#390—831no—
915#390—831no—
916#390—831no—
917#390—831no—
918#390—831no—
919#390—831no—
920#390—831no—
921#390C2×D8311yescharacteristic
922#389—831no—
923#389—831no—
924#389—831no—
925#389—831no—
926#389—831no—
927#389—831no—
928#389—831no—
929#389C2×D8311yescharacteristic, complemented
930#388—831no—
931#388—831no—
932#388—831no—
933#388—831no—
934#388—831no—
935#388—831no—
936#388—831no—
937#388—831no—
938#388—831no—
939#388—831no—
940#388—831no—
941#388—831no—
942#388—831no—
943#388—831no—
944#388—831no—
945#388—831no—
946#388—831no—
947#388C2×D8311yescharacteristic
948#388C2×D8311yescharacteristic, complemented
949#388C2×D8311yescharacteristic, complemented
950#387—831no—
951#387—831no—
952#387—831no—
953#387C2×D8311yescharacteristic, complemented
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386C2×D8311yescharacteristic
962#385—831no—
963#385—831no—
964#385—831no—
965#385—831no—
966#385—831no—
967#385—831no—
968#385—831no—
969#385C2×D8311yescharacteristic
970#381—831no—
971#381—831no—
972#379—831no—
973#379—831no—
974C4×C4⋊C4—831no—
975C4×C4⋊C4—831no—
976C4×C4⋊C4—831no—
977C4×C4⋊C4—831no—
978C4×C4⋊C4—831no—
979C4×C4⋊C4—831no—
980C4×C4⋊C4—831no—
981C4×C4⋊C4C2×D8311yescharacteristic, complemented
982C4×C22⋊C4—831no—
983C4×C22⋊C4—831no—
984C4×C22⋊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—
994#376—831no—
995#376—831no—
996C43—831no—
997C43—831no—
998C25—831no—
999C22×Q8—831no—
1000C22×D4—831no—
1001C22×D4—831no—
1002C22×D4—831no—
1003C22×D4—831no—
1004C22×D4—831no—
1005C22×D4—831no—
1006C22×D4C22×D8311yescharacteristic
1007C23×C4—831no—
1008C23×C4—831no—
1009C23×C4—831no—
1010C23×C4—831no—
1011C23×C4—831no—
1012C23×C4—831no—
1013C23×C4—831no—
1014C23×C4—831no—
1015C23×C4—831no—
1016C23×C4—831no—
1017C23×C4—831no—
1018C23×C4—1664no—
1019C23×C4—1664no—
1020C23×C4—1664no—
1021C23×C4C22×D8311yescharacteristic
1022#126—24no—
1023#126—1664no—
1024#125—1664no—
1025#124—1664no—
1026#123—1664no—
1027#123—1664no—
1028#123—1664no—
1029#123—1664no—
1030C22⋊Q8—1664no—
1031#121—1664no—
1032#120—1664no—
1033#120—1664no—
1034C4×Q8—1664no—
1035C4×D4—1664no—
1036C4×D4—1664no—
1037C4×D4—1664no—
1038C4×D4—1664no—
1039C4×D4—1664no—
1040C4×D4—1664no—
1041C4×D4—1664no—
1042#117—24no—
1043#117—1664no—
1044#117—1664no—
1045#117—1664no—
1046#117—1664no—
1047#117—1664no—
1048#117—1664no—
1049#117—1664no—
1050#117—1664no—
1051#117—1664no—
1052#117—1664no—
1053#117—1664no—
1054C2×C4⋊C4—831no—
1055C2×C4⋊C4—831no—
1056C2×C4⋊C4—831no—
1057C2×C4⋊C4—831no—
1058C2×C4⋊C4—831no—
1059C2×C4⋊C4—831no—
1060C2×C4⋊C4—831no—
1061C2×C4⋊C4—831no—
1062C2×C4⋊C4—831no—
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—1664no—
1079C2×C4⋊C4—1664no—
1080C2×C4⋊C4C22×D8311yescharacteristic
1081C2×C4⋊C4C22×D8311yescharacteristic
1082C2×C4⋊C4C22×D8311yescharacteristic
1083C2×C4⋊C4C22×D8311yescharacteristic
1084C2×C4⋊C4C22×D8311yescharacteristic
1085C2×C4⋊C4C22×D8311yescharacteristic
1086C2×C4⋊C4C22×D8311yescharacteristic
1087C2×C4⋊C4C22×D8311yescharacteristic
1088C2×C4⋊C4C22×D8311yescharacteristic
1089C2×C4⋊C4C22×D8311yescharacteristic
1090C2×C22⋊C4—831no—
1091C2×C22⋊C4—831no—
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊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—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—1664no—
1126C2×C22⋊C4—1664no—
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×C22⋊C4C22×D8311yescharacteristic
1138C2×C42—831no—
1139C2×C42—831no—
1140C2×C42—831no—
1141C2×C42—831no—
1142C2×C42—831no—
1143C2×C42—838no—
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—831no—
1155C2×C42—831no—
1156C2×C42—831no—
1157C2×C42—1664no—
1158C2×C42C22×D8311yescharacteristic
1159C2×C42C22×D8311yescharacteristic
1160C2×C42C22×D8311yescharacteristic
1161C2×C42C22×D8311yescharacteristic
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#95C22×D8311yescharacteristic
1187#95C22×D8311yescharacteristic
1188#95C22×D8311yescharacteristic
1189#95C22×D8311yescharacteristic
1190#95C22×D8311yescharacteristic
1191#95C22×D8311yescharacteristic
1192#95C22×D8311yescharacteristic
1193#95C22×D8311yescharacteristic
1194C24—3321no—
1195C24—3321no—
1196C24—831no—
1197C24—831no—
1198C24—831no—
1199C24—1662no—
1200C24—1662no—
1201C24—1662no—
1202C24—1662no—
1203C24—1662no—
1204C24C23×D8311yescharacteristic
1205C24C23×D8311yescharacteristic
1206C2×Q8—3321no—
1207C2×Q8—3321no—
1208C2×Q8—1662no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—3321no—
1213C2×D4—3321no—
1214C2×D4—3321no—
1215C2×D4—3321no—
1216C2×D4—3321no—
1217C2×D4—1662no—
1218C2×D4—1662no—
1219C2×D4—1662no—
1220C2×D4—1662no—
1221C2×D4—1662no—
1222C2×D4—1662no—
1223C2×D4—1662no—
1224C2×D4—1662no—
1225C2×D4—1662no—
1226C2×D4—1662no—
1227C2×D4—1662no—
1228C2×D4—1662no—
1229C2×D4—1662no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—3321no—
1234C22×C4—3321no—
1235C22×C4—3321no—
1236C22×C4—3321no—
1237C22×C4—834no—
1238C22×C4—831no—
1239C22×C4—834no—
1240C22×C4—831no—
1241C22×C4—831no—
1242C22×C4—831no—
1243C22×C4—831no—
1244C22×C4—831no—
1245C22×C4—834no—
1246C22×C4—834no—
1247C22×C4—834no—
1248C22×C4—831no—
1249C22×C4—831no—
1250C22×C4—831no—
1251C22×C4—831no—
1252C22×C4—831no—
1253C22×C4—831no—
1254C22×C4—831no—
1255C22×C4—1662no—
1256C22×C4—1662no—
1257C22×C4—1662no—
1258C22×C4—1662no—
1259C22×C4—1662no—
1260C22×C4—1662no—
1261C22×C4—1662no—
1262C22×C4—1662no—
1263C22×C4—1662no—
1264C22×C4—1662no—
1265C22×C4—1662no—
1266C22×C4—1662no—
1267C22×C4—1662no—
1268C22×C4—1662no—
1269C22×C4—1662no—
1270C22×C4—1662no—
1271C22×C4—1662no—
1272C22×C4—16632no—
1273C22×C4—1662no—
1274C22×C4—1662no—
1275C22×C4—1662no—
1276C22×C4—1662no—
1277C22×C4—1662no—
1278C22×C4—1662no—
1279C22×C4—1662no—
1280C22×C4C23×D8311yescharacteristic
1281C22×C4C23×D8311yescharacteristic
1282C22×C4C23×D8311yescharacteristic
1283C22×C4C23×D8311yescharacteristic
1284C22×C4C23×D8311yescharacteristic
1285C22×C4C23×D8311yescharacteristic
1286C22×C4C23×D8311yescharacteristic
1287C22×C4C23×D8311yescharacteristic
1288C22×C4C23×D8311yescharacteristic
1289C22×C4C23×D8311yescharacteristic
1290C22×C4C23×D8311yescharacteristic
1291C22×C4C23×D8311yescharacteristic
1292C22×C4C23×D8311yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—41no—
1303C4⋊C4—3321no—
1304C4⋊C4—3321no—
1305C4⋊C4—3321no—
1306C4⋊C4—1662no—
1307C4⋊C4—1662no—
1308C4⋊C4—1662no—
1309C4⋊C4—1662no—
1310C4⋊C4—1662no—
1311C4⋊C4—1662no—
1312C4⋊C4—1662no—
1313C4⋊C4—1662no—
1314C4⋊C4—1662no—
1315C4⋊C4—1662no—
1316C4⋊C4—1662no—
1317C4⋊C4—1662no—
1318C4⋊C4—1662no—
1319C4⋊C4—1662no—
1320C4⋊C4—1662no—
1321C4⋊C4—1662no—
1322C4⋊C4—1662no—
1323C4⋊C4—1662no—
1324C4⋊C4—1662no—
1325C4⋊C4—1662no—
1326C4⋊C4—1662no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—3321no—
1339C22⋊C4—3321no—
1340C22⋊C4—3321no—
1341C22⋊C4—3321no—
1342C22⋊C4—3321no—
1343C22⋊C4—3321no—
1344C22⋊C4—834no—
1345C22⋊C4—834no—
1346C22⋊C4—1662no—
1347C22⋊C4—1662no—
1348C22⋊C4—1662no—
1349C22⋊C4—1662no—
1350C22⋊C4—1662no—
1351C22⋊C4—1662no—
1352C22⋊C4—1662no—
1353C22⋊C4—1662no—
1354C22⋊C4—1662no—
1355C22⋊C4—1662no—
1356C22⋊C4—1662no—
1357C22⋊C4—1662no—
1358C22⋊C4—1662no—
1359C22⋊C4—1662no—
1360C22⋊C4—1662no—
1361C22⋊C4—1662no—
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—
1373C42—22no—
1374C42—41no—
1375C42—41no—
1376C42—3321no—
1377C42—3321no—
1378C42—834no—
1379C42—834no—
1380C42—834no—
1381C42—1662no—
1382C42—1662no—
1383C42—1662no—
1384C42—1662no—
1385C42—1662no—
1386C42—1662no—
1387C42—1662no—
1388C42—1662no—
1389C42—1662no—
1390C42—1662no—
1391C42—1662no—
1392C42—1662no—
1393C42—1662no—
1394C42D4×D8314yes—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—3324no—
1409C23—3324no—
1410C23—3324no—
1411C23—3324no—
1412C23—3324no—
1413C23—3324no—
1414C23—832no—
1415C23—832no—
1416C23—832no—
1417C23—832no—
1418C23—1668no—
1419C23—1661no—
1420C23—1661no—
1421C23—1661no—
1422C23—1661no—
1423C23—1661no—
1424C23—1661no—
1425C23—1661no—
1426C23—1661no—
1427C23—1661no—
1428C23—1661no—
1429C23—1661no—
1430C23—1661no—
1431C23—1661no—
1432C23—1661no—
1433C23—1661no—
1434C23—1661no—
1435C23—1661no—
1436C23#41×D8312yes—
1437C23C24×D8311yescharacteristic
1438Q8—3324no—
1439D4—44no—
1440D4—3324no—
1441D4—3324no—
1442D4—3324no—
1443D4—3324no—
1444D4—3324no—
1445D4—3324no—
1446C2×C4—28no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
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—3324no—
1481C2×C4—3324no—
1482C2×C4—3324no—
1483C2×C4—3324no—
1484C2×C4—3324no—
1485C2×C4—832no—
1486C2×C4—832no—
1487C2×C4—832no—
1488C2×C4—832no—
1489C2×C4—832no—
1490C2×C4—832no—
1491C2×C4—832no—
1492C2×C4—832no—
1493C2×C4—1668no—
1494C2×C4—1668no—
1495C2×C4—1668no—
1496C2×C4—1668no—
1497C2×C4—1668no—
1498C2×C4—1661no—
1499C2×C4—1661no—
1500C2×C4—1661no—
1501C2×C4—1661no—
1502C2×C4—1661no—
1503C2×C4—1661no—
1504C2×C4—1661no—
1505C2×C4—1661no—
1506C2×C4—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—1668no—
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×C4C2×D4×D8312yes—
1531C2×C4C2×D4×D8312yes—
1532C2×C4C2×D4×D8312yes—
1533C2×C4#41×D8312yes—
1534C2×C4#41×D8312yes—
1535C2×C4#41×D8312yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—33216no—
1551C22—3321no—
1552C22—3321no—
1553C22—3321no—
1554C22—3321no—
1555C22—3321no—
1556C22—3321no—
1557C22—3321no—
1558C22—3321no—
1559C22—3321no—
1560C22—3321no—
1561C22—3321no—
1562C22—834no—
1563C22—1662no—
1564C22—1662no—
1565C22—1662no—
1566C22—1662no—
1567C22—1662no—
1568C22—1662no—
1569C22—1662no—
1570C22—1662no—
1571C22—1662no—
1572C22C22×D4×D8311yescharacteristic
1573C22C2×#41×D8311yescharacteristic
1574C22C2×#41×D8311yescharacteristic
1575C22C2×#41×D8311yescharacteristic
1576C22C2×#41×D8311yescharacteristic
1577C22#1912853611yescharacteristic
1578C22#1912853811yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—3321no—
1593C4—3321no—
1594C4—3321no—
1595C4—3321no—
1596C4—3321no—
1597C4—3321no—
1598C4—3321no—
1599C4—834no—
1600C4—1662no—
1601C4—1662no—
1602C4—1662no—
1603C4—1662no—
1604C4—1662no—
1605C2—42no—
1606C2—81no—
1607C2—3322no—
1608C2—6641no—
1609C2—1664no—
1610C2#525×D8311yescharacteristic
1611C2#532×D8311yescharacteristic
1612C2#2492079111yescharacteristic
1613C2#2492101811yescharacteristic
1614C2#2492102211yescharacteristic
1615C2#2492102411yescharacteristic
1616C2#2492102811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2601C2
prime radical#24912392C2
hypercenter#2601D83
hypocenterC83#34877
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×#19128234C2semidirect
2. C2×#117×D83C2semidirect
3. #24913159C2semidirect
4. #24913157C2semidirect
5. #24913148C2semidirect
6. #24913146C2semidirect
7. #24913062C2semidirect
8. #24913060C2semidirect
9. #24913054C2semidirect
10. #24912941C2semidirect
11. #24912841C2semidirect
12. #24912619C2semidirect
14. #24910865C2semidirect
15. #24910863C2semidirect
16. #24910843C2semidirect
17. #24910841C2semidirect
18. #24910740C2semidirect
19. #24910738C2semidirect
20. #24910708C2semidirect
21. #24910706C2semidirect
22. #24909990C2semidirect
23. #24909984C2semidirect
24. #24909968C2semidirect
25. #24909964C2semidirect
26. #24909925C2semidirect
27. #24909923C2semidirect
28. #24909923C2semidirect
29. #24909921C2semidirect
30. C4×#14581750C2semidirect
31. C83×#2601C2semidirect
34. C2×#14581786C22semidirect
35. C2×#14581782C22semidirect
36. C2×#14581778C22semidirect
45. C2×#14581757C22semidirect
52. C2×(C22⋊D83)⋊C4C22semidirect
58. C2×#14581750C22semidirect
63. C2×#14581748C22semidirect
71. #19127643C22semidirect
72. #19127642C22semidirect
75. #19127635C22semidirect
76. #19127634C22semidirect
77. #19127634C22semidirect
78. #19127634C22semidirect
79. #19127631C22semidirect
83. #19127624C22semidirect
86. #19127623C22semidirect
87. #19127623C22semidirect
88. #19127622C22semidirect
89. #19127621C22semidirect
93. #19127617C22semidirect
94. #19127616C22semidirect
106. #19127600C22semidirect
107. #19127599C22semidirect
108. #19127598C22semidirect
109. #19127598C22semidirect
110. #19127597C22semidirect
111. #19127596C22semidirect
112. #19127596C22semidirect
114. #19127595C22semidirect
116. #19127594C22semidirect
118. #19127593C22semidirect
119. #19127593C22semidirect
121. #19127592C22semidirect
122. #19127592C22semidirect
124. #19127591C22semidirect
126. #19127590C22semidirect
128. #19127589C22semidirect
129. #19127589C22semidirect
130. #19127586C22semidirect
131. #19127585C22semidirect
132. #19127582C22semidirect
151. C4⋊C4×Dic83C22semidirect
152. C4⋊C4×Dic83C22semidirect
153. C4⋊C4×Dic83C22semidirect
154. C4⋊C4×Dic83C22semidirect
155. C4×C4⋊Dic83C22semidirect
156. #19127552C22semidirect
157. #19127552C22semidirect
160. C22⋊C4×Dic83C22semidirect
161. C22⋊C4×Dic83C22semidirect
168. #19127548C22semidirect
169. #19127548C22semidirect
170. #19127546C22semidirect
171. #19127546C22semidirect
172. C42×Dic83C22semidirect
173. C42×Dic83C22semidirect
174. C2×#126×C83C22semidirect
176. #398×C83C22semidirect
178. #396×C83C22semidirect
181. #389×C83C22semidirect
183. #388×C83C22semidirect
184. #388×C83C22semidirect
185. #387×C83C22semidirect
188. C4×C4⋊C4×C83C22semidirect
323. C42×D83D4semidirect
818. #2601D83semidirect
840. C83#34877semidirect
844. C2×#126C2×D83semidirect
891. #398C2×D83semidirect
901. #396C2×D83semidirect
929. #389C2×D83semidirect
948. #388C2×D83semidirect
949. #388C2×D83semidirect
953. #387C2×D83semidirect
981. C4×C4⋊C4C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282342
C2×#117×D832
#249131592
#249131572
#249131482
#249131462
#249130622
#249130602
#249130542
#249129412
#249128412
#249126192
#249123922
#249108652
#249108632
#249108432
#249108412
#249107402
#249107382
#249107082
#249107062
#249099902
#249099842
#249099682
#249099642
#249099252
#249099232
#249099212
C4×#145817502
C83×#26012
#3487783