Finite Group Databasebeta

← #35569764

Subgroups — #35569764

Order 21248.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128338C211yesmaximal, characteristic
2#24910630C211yesmaximal, characteristic, complemented
3#24910614C211yesmaximal, characteristic, complemented
4#24910605C211yesmaximal, characteristic, complemented
5#24910601C211yesmaximal, characteristic, complemented
6#24910570C211yesmaximal, characteristic, complemented
7#24910508C211yesmaximal, characteristic, complemented
8#24910506C211yesmaximal, characteristic, complemented
9#24910457C211yesmaximal, characteristic, complemented
10#24910447C211yesmaximal, characteristic, complemented
11#24910401C211yesmaximal, characteristic, complemented
12#24910397C211yesmaximal, characteristic, complemented
13#24910314C211yesmaximal, characteristic, complemented
14#24910311C211yesmaximal, characteristic, complemented
15#24910288C211yesmaximal, characteristic, complemented
16#24910279C211yesmaximal, characteristic, complemented
17#24910270C211yesmaximal, characteristic, complemented
18#24910251C211yesmaximal, characteristic, complemented
19#24910224C211yesmaximal, characteristic, complemented
20#24910220C211yesmaximal, characteristic, complemented
21#24910164C211yesmaximal, characteristic, complemented
22#24910131C211yesmaximal, characteristic, complemented
23#24910122C211yesmaximal, characteristic, complemented
24#24910100C211yesmaximal, characteristic, complemented
25#24910057C211yesmaximal, characteristic, complemented
26#24910050C211yesmaximal, characteristic, complemented
27#24910038C211yesmaximal, characteristic, complemented
28#24909973C211yesmaximal, characteristic, complemented
29#24909899C211yesmaximal, characteristic, complemented
30C2×#19127595C211yesmaximal, characteristic, complemented
31C83×#2321C211yesmaximal, characteristic, complemented
32C22×#13050589C2211yescharacteristic
33C23×C22⋊D83C2211yescharacteristic
34#19128338C4116yescomplemented
35C2×#14581778C2211yescharacteristic
36C2×#14581776C2211yescharacteristic
37C2×#14581774C2211yescharacteristic
38C2×#14581769C2211yescharacteristic
39C2×#14581764C2211yescharacteristic
40C2×#14581764C2211yescharacteristic
41C2×#14581763C2211yescharacteristic
42C2×#14581760C2211yescharacteristic
43C2×D4×Dic83C2211yescharacteristic
44C2×D4×Dic83C2211yescharacteristic, complemented
45C2×D4×Dic83C2211yescharacteristic, complemented
46C2×(C22⋊D83)⋊C4C2211yescharacteristic
47C2×(C22⋊D83)⋊C4C2211yescharacteristic
48C2×(C22⋊D83)⋊C4C2211yescharacteristic
49C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
50C2×#14581750C2211yescharacteristic, complemented
51C2×#14581748C2211yescharacteristic, complemented
52C22×Dic83⋊C4C2211yescharacteristic, complemented
53C22×C22⋊Dic83C2211yescharacteristic
54C22×C22⋊Dic83C2211yescharacteristic
55C22×C22⋊Dic83C2211yescharacteristic
56C2×C22⋊C4×D83C2211yescharacteristic
57C2×C22⋊C4×D83C2211yescharacteristic
58C22×C4×Dic83C2211yescharacteristic, complemented
59#19127607C2211yescharacteristic, complemented
60#19127606C2211yescharacteristic, complemented
61#19127605C2211yescharacteristic, complemented
62#19127605C2211yescharacteristic, complemented
63#19127604C2211yescharacteristic
64#19127601C2211yescharacteristic
65#19127601C2211yescharacteristic
66#19127601C2211yescharacteristic, complemented
67#19127601C2211yescharacteristic, complemented
68#19127601C2211yescharacteristic, complemented
69#19127599C2211yescharacteristic, complemented
70#19127598C2211yescharacteristic, complemented
71#19127597C2211yescharacteristic, complemented
72#19127597C2211yescharacteristic, complemented
73#19127595C2211yescharacteristic
74#19127595C2211yescharacteristic
75#19127595C2211yescharacteristic
76#19127595C2211yescharacteristic
77#19127595C2211yescharacteristic
78#19127595C2211yescharacteristic
79#19127595C2211yescharacteristic, complemented
80#19127595C2211yescharacteristic, complemented
81#19127595C2211yescharacteristic, complemented
82#19127595C2211yescharacteristic, complemented
83#19127595C2211yescharacteristic, complemented
84#19127594C2211yescharacteristic
85#19127594C2211yescharacteristic
86#19127593C2211yescharacteristic, complemented
87#19127593C2211yescharacteristic, complemented
88#19127593C2211yescharacteristic, complemented
89#19127592C2211yescharacteristic, complemented
90#19127592C2211yescharacteristic, complemented
91#19127591C2211yescharacteristic, complemented
92#19127591C2211yescharacteristic, complemented
93#19127590C2211yescharacteristic, complemented
94#19127590C2211yescharacteristic, complemented
95#19127590C2211yescharacteristic, complemented
96#19127589C2211yescharacteristic
97#19127589C2211yescharacteristic
98#19127589C2211yescharacteristic, complemented
99#19127588C2211yescharacteristic, complemented
100#19127586C2211yescharacteristic, complemented
101#19127586C2211yescharacteristic, complemented
102#19127585C2211yescharacteristic, complemented
103#19127585C2211yescharacteristic, complemented
104#19127584C2211yescharacteristic, complemented
105#19127584C2211yescharacteristic, complemented
106#19127583C2211yescharacteristic, complemented
107#19127582C2211yescharacteristic, complemented
108#19127582C2211yescharacteristic, complemented
109#19127581C2211yescharacteristic
110#19127581C2211yescharacteristic, complemented
111#19127581C2211yescharacteristic, complemented
112#19127580C2211yescharacteristic
113#19127580C2211yescharacteristic
114#19127580C2211yescharacteristic
115#19127580C2211yescharacteristic
116#19127580C2211yescharacteristic, complemented
117#19127580C2211yescharacteristic, complemented
118#19127578C2211yescharacteristic
119#19127578C2211yescharacteristic
120#19127578C2211yescharacteristic
121#19127578C2211yescharacteristic
122#19127578C2211yescharacteristic
123#19127578C2211yescharacteristic
124#19127578C2211yescharacteristic, complemented
125#19127577C2211yescharacteristic
126#19127577C2211yescharacteristic
127#19127577C2211yescharacteristic, complemented
128#19127576C2211yescharacteristic, complemented
129#19127576C2211yescharacteristic, complemented
130#19127575C2211yescharacteristic, complemented
131#19127573C2211yescharacteristic, complemented
132#19127573C2211yescharacteristic, complemented
133#19127572C2211yescharacteristic, complemented
134#19127572C2211yescharacteristic, complemented
135#19127568C2211yescharacteristic, complemented
136#19127563C2211yescharacteristic, complemented
137#19127562C2211yescharacteristic
138#19127562C2211yescharacteristic
139#19127562C2211yescharacteristic, complemented
140#19127562C2211yescharacteristic, complemented
141#19127560C2211yescharacteristic, complemented
142#19127560C2211yescharacteristic, complemented
143#19127559C2211yescharacteristic
144#19127559C2211yescharacteristic, complemented
145#19127559C2211yescharacteristic, complemented
146#19127559C2211yescharacteristic, complemented
147#19127558C2211yescharacteristic, complemented
148#19127556C2211yescharacteristic
149#19127556C2211yescharacteristic
150#19127556C2211yescharacteristic
151C4⋊C4×Dic83C2211yescharacteristic, complemented
152C4×C4⋊Dic83C2211yescharacteristic, complemented
153#19127552C2211yescharacteristic, complemented
154C22⋊C4×Dic83C2211yescharacteristic
155C22⋊C4×Dic83C2211yescharacteristic, complemented
156C22⋊C4×Dic83C2211yescharacteristic, complemented
157C22⋊C4×Dic83C2211yescharacteristic, complemented
158C22⋊C4×Dic83C2211yescharacteristic, complemented
159C22⋊C4×Dic83C2211yescharacteristic, complemented
160C22⋊C4×Dic83C2211yescharacteristic, complemented
161C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
165C4×C22⋊Dic83C2211yescharacteristic, complemented
166#19127548C2211yescharacteristic, complemented
167#19127548C2211yescharacteristic, complemented
168#19127547C2211yescharacteristic, complemented
169#19127546C2211yescharacteristic, complemented
170C2×C83⋊#95C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
172C2×C83⋊#95C2211yescharacteristic, complemented
173C2×#120×C83C2211yescharacteristic
174C2×C4×D4×C83C2211yescharacteristic, complemented
175C22×C22⋊C4×C83C2211yescharacteristic
176#390×C83C2211yescharacteristic
177#390×C83C2211yescharacteristic, complemented
178#388×C83C2211yescharacteristic
179#388×C83C2211yescharacteristic
180#388×C83C2211yescharacteristic, complemented
181#388×C83C2211yescharacteristic, complemented
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic, complemented
184#386×C83C2211yescharacteristic, complemented
185#385×C83C2211yescharacteristic, complemented
186#379×C83C2211yescharacteristic
187C4×C22⋊C4×C83C2211yescharacteristic, complemented
188C24×D83C2311yescharacteristic
189C2×#13050589—42no—
190C2×#13050589—42no—
191C2×#13050589C2×C418yescomplemented
192C22×Dic166C2311yescharacteristic
193C22×C22⋊D83—42no—
194C22×C22⋊D83—42no—
195C22×C22⋊D83C2×C418yescomplemented
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C23×Dic83C2311yescharacteristic
210C23×Dic83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215#14581778C2×C418yescomplemented
216#14581776C2×C418yescomplemented
217#14581774C2×C418yescomplemented
218#14581769C2×C418yescomplemented
219#14581764C2×C418yescomplemented
220#14581764C2×C418yescomplemented
221#14581763C2×C418yescomplemented
222#14581760C2×C418yescomplemented
223D4×Dic83—42no—
224D4×Dic83—42no—
225D4×Dic83C2×C418yescomplemented
226(C22⋊D83)⋊C4—42no—
227(C22⋊D83)⋊C4—42no—
228(C22⋊D83)⋊C4—42no—
229(C22⋊D83)⋊C4C2×C418yescomplemented
230#14581750—42no—
231#14581748—42no—
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×C4⋊Dic83C2311yescharacteristic
235C2×C4⋊Dic83C2311yescharacteristic
236C2×C4⋊Dic83C2311yescharacteristic
237C2×Dic83⋊C4—42no—
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×C22⋊Dic83—42no—
251C2×C22⋊Dic83—42no—
252C2×C22⋊Dic83C2×C418yescomplemented
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C22⋊C4×D83—42no—
288C22⋊C4×D83C2×C418yescomplemented
289C2×C4×Dic83—42no—
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
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
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C25×C83C2311yescharacteristic
339C22×D4×C83C2311yescharacteristic
340C22×D4×C83C2311yescharacteristic
341C22×D4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343C23×C4×C83C2311yescharacteristic
344C23×C4×C83C2311yescharacteristic
345#120×C83C2×C418yescomplemented
346C4×D4×C83—42no—
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C4⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83—42no—
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C22⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C42×C83C2311yescharacteristic
368C2×C42×C83C2311yescharacteristic
369C2×C42×C83C2311yescharacteristic
370#95×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375#95×C83C2311yescharacteristic
376C23×D83—41no—
377C23×D83—41no—
378C23×D83—41no—
379C23×D83—41no—
380C23×D83—41no—
381C23×D83—41no—
382C23×D83C22×C414yes—
383C23×D83C2411yescharacteristic
384C23×D83C2411yescharacteristic
385#13050589—416no—
386C2×Dic166—41no—
387C2×Dic166—41no—
388C2×Dic166C22×C414yes—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—22no—
391C2×C22⋊D83—22no—
392C2×C22⋊D83—22no—
393C2×C22⋊D83—41no—
394C2×C22⋊D83—41no—
395C2×C22⋊D83—41no—
396C2×C22⋊D83—41no—
397C2×C22⋊D83—41no—
398C2×C22⋊D83—41no—
399C2×C22⋊D83—41no—
400C2×C22⋊D83—41no—
401C2×C22⋊D83—416no—
402C2×C22⋊D83C22×C414yes—
403C2×C22⋊D83C22×C414yes—
404C2×C22⋊D83C22×C414yes—
405C2×C22⋊D83C22×C414yes—
406C2×C22⋊D83C22×C414yes—
407C2×C22⋊D83C22×C414yes—
408C22×Dic83—22no—
409C22×Dic83—22no—
410C22×Dic83—22no—
411C22×Dic83—22no—
412C22×Dic83—22no—
413C22×Dic83—22no—
414C22×Dic83—41no—
415C22×Dic83—41no—
416C22×Dic83—41no—
417C22×Dic83—41no—
418C22×Dic83—41no—
419C22×Dic83—41no—
420C22×Dic83—41no—
421C22×Dic83—41no—
422C22×Dic83—41no—
423C22×Dic83—41no—
424C22×Dic83—41no—
425C22×Dic83—41no—
426C22×Dic83—41no—
427C22×Dic83—41no—
428C22×Dic83—41no—
429C22×Dic83—41no—
430C22×Dic83—41no—
431C22×Dic83C22×C414yes—
432C22×Dic83C22×C414yes—
433C22×Dic83C22×C414yes—
434C22×Dic83C22×C414yes—
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
448C22×Dic83C2411yescharacteristic
449C2×C4×D83—22no—
450C2×C4×D83—41no—
451C2×C4×D83—41no—
452C2×C4×D83—41no—
453C2×C4×D83—41no—
454C2×C4×D83—41no—
455C2×C4×D83—41no—
456C2×C4×D83—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83C22×C414yes—
460C2×C4×D83C22×C414yes—
461C4⋊Dic83—22no—
462C4⋊Dic83—41no—
463C4⋊Dic83—41no—
464C4⋊Dic83C22×C414yes—
465C4⋊Dic83C22×C414yes—
466Dic83⋊C4—41no—
467Dic83⋊C4—41no—
468Dic83⋊C4—41no—
469Dic83⋊C4—41no—
470Dic83⋊C4—41no—
471Dic83⋊C4—41no—
472Dic83⋊C4—41no—
473Dic83⋊C4—41no—
474Dic83⋊C4—41no—
475Dic83⋊C4—41no—
476Dic83⋊C4C22×C414yes—
477Dic83⋊C4C22×C414yes—
478C22⋊Dic83—22no—
479C22⋊Dic83—22no—
480C22⋊Dic83—22no—
481C22⋊Dic83—22no—
482C22⋊Dic83—41no—
483C22⋊Dic83—41no—
484C22⋊Dic83—41no—
485C22⋊Dic83—41no—
486C22⋊Dic83—41no—
487C22⋊Dic83—41no—
488C22⋊Dic83—41no—
489C22⋊Dic83C22×C414yes—
490C22⋊Dic83C22×C414yes—
491C22⋊Dic83C22×C414yes—
492C22⋊Dic83C22×C414yes—
493C22⋊Dic83C22×C414yes—
494(C2×D83)⋊C4—22no—
495(C2×D83)⋊C4—41no—
496(C2×D83)⋊C4—41no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
499(C2×D83)⋊C4—41no—
500(C2×D83)⋊C4—41no—
501(C2×D83)⋊C4—41no—
502(C2×D83)⋊C4—41no—
503(C2×D83)⋊C4—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊C4C22×C414yes—
509(C2×D83)⋊C4C22×C414yes—
510(C2×D83)⋊C4C22×C414yes—
511(C2×D83)⋊C4C22×C414yes—
512C4×Dic83—22no—
513C4×Dic83—22no—
514C4×Dic83—41no—
515C4×Dic83—41no—
516C4×Dic83—41no—
517C4×Dic83—41no—
518C4×Dic83—41no—
519C4×Dic83—41no—
520C4×Dic83—41no—
521C4×Dic83—41no—
522C4×Dic83—41no—
523C4×Dic83—41no—
524C4×Dic83—41no—
525C4×Dic83C22×C414yes—
526C24×C83—22no—
527C24×C83—22no—
528C24×C83—41no—
529C24×C83—41no—
530C24×C83—41no—
531C24×C83—41no—
532C24×C83C22×C414yes—
533C24×C83C2411yescharacteristic
534C24×C83C2411yescharacteristic
535C24×C83C2411yescharacteristic
536C24×C83C2411yescharacteristic
537C2×D4×C83—22no—
538C2×D4×C83—22no—
539C2×D4×C83—41no—
540C2×D4×C83—41no—
541C2×D4×C83—41no—
542C2×D4×C83—41no—
543C2×D4×C83C22×C414yes—
544C2×D4×C83C22×C414yes—
545C2×D4×C83C22×C414yes—
546C22×C4×C83—22no—
547C22×C4×C83—22no—
548C22×C4×C83—41no—
549C22×C4×C83—41no—
550C22×C4×C83—41no—
551C22×C4×C83—41no—
552C22×C4×C83—41no—
553C22×C4×C83—41no—
554C22×C4×C83—41no—
555C22×C4×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
565C22×C4×C83C2411yescharacteristic
566C4⋊C4×C83—41no—
567C4⋊C4×C83—41no—
568C4⋊C4×C83—41no—
569C22⋊C4×C83—22no—
570C22⋊C4×C83—22no—
571C22⋊C4×C83—41no—
572C22⋊C4×C83—41no—
573C22⋊C4×C83—41no—
574C22⋊C4×C83—41no—
575C22⋊C4×C83—41no—
576C22⋊C4×C83—41no—
577C22⋊C4×C83—41no—
578C22⋊C4×C83—41no—
579C22⋊C4×C83—41no—
580C22⋊C4×C83—41no—
581C22⋊C4×C83—41no—
582C22⋊C4×C83C22×C414yes—
583C22⋊C4×C83C22×C414yes—
584C22⋊C4×C83C22×C414yes—
585C42×C83—41no—
586C42×C83—41no—
587C42×C83—41no—
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×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—28no—
611C23×C83—44no—
612C23×C83—44no—
613C23×C83—82no—
614C23×C83—82no—
615C23×C83—82no—
616C23×C83—82no—
617C23×C83C23×C412yes—
618C23×C83C23×C412yes—
619C23×C83C23×C412yes—
620C23×C83C23×C412yes—
621C23×C83H(5,𝔽2)12yes—
622C23×C83H(5,𝔽2)12yes—
623C23×C83C2511yescharacteristic
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×D83—21no—
629C22×D83—21no—
630C22×D83—21no—
631C22×D83—21no—
632C22×D83—21no—
633C22×D83—21no—
634C22×D83—21no—
635C22×D83—21no—
636C22×D83—44no—
637C22×D83—44no—
638C22×D83—44no—
639C22×D83—82no—
640C22×D83—82no—
641C22×D83—82no—
642C22×D83—82no—
643C22×D83C23×C412yes—
644C22×D83C23×C412yes—
645D4×C83—28no—
646D4×C83—44no—
647D4×C83—44no—
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×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—44no—
679C2×C4×C83—82no—
680C2×C4×C83—82no—
681C2×C4×C83C23×C412yes—
682C2×C4×C83C23×C412yes—
683C2×C4×C83C23×C412yes—
684C22⋊D83—28no—
685C22⋊D83—28no—
686C22⋊D83—44no—
687C22⋊D83—44no—
688C22⋊D83—44no—
689C22⋊D83—44no—
690C2×Dic83—28no—
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—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717C2×Dic83—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—21no—
725C2×Dic83—21no—
726C2×Dic83—44no—
727C2×Dic83—44no—
728C2×Dic83—44no—
729C2×Dic83—44no—
730C2×Dic83—82no—
731C2×Dic83—82no—
732C2×Dic83—82no—
733C2×Dic83—82no—
734C2×Dic83C23×C412yes—
735C2×Dic83C23×C412yes—
736C2×Dic83C23×C412yes—
737C2×Dic83C23×C412yes—
738C2×Dic83C23×C412yes—
739C2×Dic83C23×C412yes—
740C2×Dic83H(5,𝔽2)12yes—
741C4×D83—44no—
742C4×D83—44no—
743C4×D83—82no—
744C4×D83—82no—
745Dic166—44no—
746C22×C83—22no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—22no—
750C22×C83—22no—
751C22×C83—22no—
752C22×C83—22no—
753C22×C83—22no—
754C22×C83—22no—
755C22×C83—22no—
756C22×C83—22no—
757C22×C83—22no—
758C22×C83—22no—
759C22×C83—22no—
760C22×C83—22no—
761C22×C83—41no—
762C22×C83—41no—
763C22×C83—41no—
764C22×C83—41no—
765C22×C83—41no—
766C22×C83—41no—
767C22×C83—41no—
768C22×C83—41no—
769C22×C83—41no—
770C22×C83—41no—
771C22×C83—41no—
772C22×C83—41no—
773C22×C83—88no—
774C22×C83#51814yes—
775C22×C83C24×C411yescharacteristic
776C22×C83C2×H(5,𝔽2)11yescharacteristic
777C22×C83C2×H(5,𝔽2)11yescharacteristic
778C22×C83C2×H(5,𝔽2)11yescharacteristic
779C22×C83#58511yescharacteristic
780C22×C83#58511yescharacteristic
781C22×C83#58511yescharacteristic
782C2×D83—22no—
783C2×D83—22no—
784C2×D83—22no—
785C2×D83—22no—
786C2×D83—22no—
787C2×D83—22no—
788C2×D83—41no—
789C2×D83—41no—
790C2×D83—41no—
791C2×D83—41no—
792C2×D83—41no—
793C2×D83—41no—
794C2×D83—41no—
795C2×D83—41no—
796C2×D83—88no—
797C4×C83—22no—
798C4×C83—22no—
799C4×C83—22no—
800C4×C83—41no—
801C4×C83—41no—
802C4×C83—41no—
803C4×C83—41no—
804C4×C83—41no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808Dic83—22no—
809Dic83—22no—
810Dic83—22no—
811Dic83—22no—
812Dic83—22no—
813Dic83—22no—
814Dic83—22no—
815Dic83—41no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822#34492—831nomaximal, Sylow
823C2×C83—24no—
824C2×C83—42no—
825C2×C83—42no—
826C2×C83—42no—
827C2×C83C2×#51811yescharacteristic
828C2×C83#342811yescharacteristic
829C2×C83C4×H(5,𝔽2)11yescharacteristic
830C2×C83#353411yescharacteristic
831C2×C83#354211yescharacteristic
832C2×C83#354511yescharacteristic
833C2×C83#356011yescharacteristic
834D83—42no—
835D83—42no—
836C2×#546—831no—
837#2378—831no—
838#2377—831no—
839#2376—831no—
840#2375—831no—
841#2372—831no—
842#2364—831no—
843#2363—831no—
844#2359—831no—
845#2358—831no—
846#2353—831no—
847#2353—831no—
848#2342—831no—
849#2342—831no—
850#2339—831no—
851D4×C22⋊C4—831no—
852#2337—831no—
853#2335—831no—
854#2333—831no—
855#2332—831no—
856#2325—831no—
857#2322—831no—
858#2321—831no—
859#2321D8311yescharacteristic, complemented
860#2319—831no—
861#2312—831no—
862#2311—831no—
863#2308—831no—
864C4×#121—831no—
865#2290—831no—
866C2×#388—831no—
867C83#3449211yescharacteristic, complemented, Sylow
868C22×#41—831no—
869C23×D4—831no—
870#546—8316no—
871C2×#124—831no—
872C2×#123—831no—
873C2×#123—831no—
874C2×C22⋊Q8—831no—
875C2×#121—831no—
876C2×#121—831no—
877C2×#121—831no—
878C2×#120—831no—
879C2×#120C2×D8311yescharacteristic
880C2×C4×D4—831no—
881C2×C4×D4—831no—
882C2×C4×D4—831no—
883C2×C4×D4—831no—
884C2×C4×D4—831no—
885C2×C4×D4—831no—
886C2×C4×D4—831no—
887C2×C4×D4C2×D8311yescharacteristic, complemented
888C2×#117—831no—
889C2×#117—831no—
890C22×C4⋊C4—831no—
891C22×C22⋊C4—831no—
892C22×C22⋊C4—831no—
893C22×C22⋊C4—831no—
894C22×C22⋊C4—831no—
895C22×C22⋊C4—831no—
896C22×C22⋊C4C2×D8311yescharacteristic
897C22×C42—831no—
898#391—831no—
899#391—831no—
900#391—831no—
901#391—831no—
902#390—831no—
903#390—831no—
904#390—831no—
905#390—831no—
906#390—831no—
907#390—831no—
908#390C2×D8311yescharacteristic
909#390C2×D8311yescharacteristic, complemented
910#389—831no—
911#389—831no—
912#389—831no—
913#389—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388—831no—
930#388—831no—
931#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#388C2×D8311yescharacteristic
941#388C2×D8311yescharacteristic
942#388C2×D8311yescharacteristic, complemented
943#388C2×D8311yescharacteristic, complemented
944#387—831no—
945#387—831no—
946#387—831no—
947#387—831no—
948#387—831no—
949#387—831no—
950#387—831no—
951#387—831no—
952#387—831no—
953#387—831no—
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#386—831no—
963#386—831no—
964#386—831no—
965#386—831no—
966#386—831no—
967#386—831no—
968#386—831no—
969#386—831no—
970#386—831no—
971#386—831no—
972#386—831no—
973#386C2×D8311yescharacteristic
974#386C2×D8311yescharacteristic, complemented
975#386C2×D8311yescharacteristic, complemented
976#385—831no—
977#385—831no—
978#385—831no—
979#385—831no—
980#385—831no—
981#385—831no—
982#385—831no—
983#385C2×D8311yescharacteristic, complemented
984#383—831no—
985#381—831no—
986#381—831no—
987#381—831no—
988#381—831no—
989#381—831no—
990#380—831no—
991#380—831no—
992#380—831no—
993#380—831no—
994#380—831no—
995#380—831no—
996#380—831no—
997#379—831no—
998#379—831no—
999#379—831no—
1000#379C2×D8311yescharacteristic
1001C4×C4⋊C4—831no—
1002C4×C4⋊C4—831no—
1003C4×C4⋊C4—831no—
1004C4×C22⋊C4—831no—
1005C4×C22⋊C4—831no—
1006C4×C22⋊C4—831no—
1007C4×C22⋊C4—831no—
1008C4×C22⋊C4—831no—
1009C4×C22⋊C4—831no—
1010C4×C22⋊C4—831no—
1011C4×C22⋊C4—831no—
1012C4×C22⋊C4—831no—
1013C4×C22⋊C4—831no—
1014C4×C22⋊C4—831no—
1015C4×C22⋊C4—831no—
1016C4×C22⋊C4—831no—
1017C4×C22⋊C4—831no—
1018C4×C22⋊C4C2×D8311yescharacteristic, complemented
1019#376—831no—
1020#376—831no—
1021C2×#95—831no—
1022C2×#95—831no—
1023C2×#95—831no—
1024C25—831no—
1025C25C22×D8311yescharacteristic
1026C2×#41—3322no—
1027C2×#41—3322no—
1028C2×#41—838no—
1029C22×Q8—831no—
1030C22×D4—3322no—
1031C22×D4—3322no—
1032C22×D4—838no—
1033C22×D4—831no—
1034C22×D4—831no—
1035C22×D4—831no—
1036C22×D4—831no—
1037C22×D4—831no—
1038C22×D4—831no—
1039C22×D4C22×D8311yescharacteristic
1040C22×D4C22×D8311yescharacteristic
1041C22×D4C22×D8311yescharacteristic
1042C23×C4—831no—
1043C23×C4—831no—
1044C23×C4—831no—
1045C23×C4—831no—
1046C23×C4—831no—
1047C23×C4—831no—
1048C23×C4—831no—
1049C23×C4—831no—
1050C23×C4—831no—
1051C23×C4—831no—
1052C23×C4—831no—
1053C23×C4—831no—
1054C23×C4—831no—
1055C23×C4C22×D8311yescharacteristic
1056C23×C4C22×D8311yescharacteristic
1057C23×C4C22×D8311yescharacteristic
1058#124—838no—
1059#123—838no—
1060#123—838no—
1061C22⋊Q8—838no—
1062#121—838no—
1063#121—838no—
1064#121—838no—
1065#120—838no—
1066#120C4×D8318yescomplemented
1067C4×D4—42no—
1068C4×D4—3322no—
1069C4×D4—3322no—
1070C4×D4—3322no—
1071C4×D4—3322no—
1072C4×D4—3322no—
1073C4×D4—838no—
1074C4×D4—838no—
1075#117—3322no—
1076#117—3322no—
1077C2×C4⋊C4—3322no—
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⋊C4—831no—
1089C2×C4⋊C4—831no—
1090C2×C4⋊C4—831no—
1091C2×C4⋊C4—831no—
1092C2×C4⋊C4—831no—
1093C2×C4⋊C4—831no—
1094C2×C4⋊C4—831no—
1095C2×C4⋊C4C22×D8311yescharacteristic
1096C2×C4⋊C4C22×D8311yescharacteristic
1097C2×C4⋊C4C22×D8311yescharacteristic
1098C2×C22⋊C4—42no—
1099C2×C22⋊C4—3322no—
1100C2×C22⋊C4—3322no—
1101C2×C22⋊C4—3322no—
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—838no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—831no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4—838no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—831no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4—831no—
1138C2×C22⋊C4C22×D8311yescharacteristic
1139C2×C22⋊C4C22×D8311yescharacteristic
1140C2×C22⋊C4C22×D8311yescharacteristic
1141C2×C22⋊C4C22×D8311yescharacteristic
1142C2×C22⋊C4C22×D8311yescharacteristic
1143C2×C22⋊C4C22×D8311yescharacteristic
1144C2×C22⋊C4C22×D8311yescharacteristic
1145C2×C22⋊C4C22×D8311yescharacteristic
1146C2×C22⋊C4C22×D8311yescharacteristic
1147C2×C22⋊C4C22×D8311yescharacteristic
1148C2×C22⋊C4C22×D8311yescharacteristic
1149C2×C22⋊C4C22×D8311yescharacteristic
1150C2×C22⋊C4C22×D8311yescharacteristic
1151C2×C22⋊C4C22×D8311yescharacteristic
1152C2×C22⋊C4C22×D8311yescharacteristic
1153C2×C22⋊C4C22×D8311yescharacteristic
1154C2×C42—3322no—
1155C2×C42—831no—
1156C2×C42—831no—
1157C2×C42—831no—
1158C2×C42—831no—
1159C2×C42—831no—
1160C2×C42—831no—
1161C2×C42—831no—
1162C2×C42—831no—
1163C2×C42—831no—
1164C2×C42—831no—
1165C2×C42—831no—
1166C2×C42—831no—
1167C2×C42—831no—
1168C2×C42—831no—
1169C2×C42C22×D8311yescharacteristic
1170C2×C42C22×D8311yescharacteristic
1171C2×C42C22×D8311yescharacteristic
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#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#95—831no—
1199#95—831no—
1200#95—831no—
1201#95—831no—
1202#95—831no—
1203#95—831no—
1204#95—831no—
1205#95—831no—
1206#95C22×D8311yescharacteristic
1207#95C22×D8311yescharacteristic
1208#95C22×D8311yescharacteristic
1209#95C22×D8311yescharacteristic
1210#95C22×D8311yescharacteristic
1211#95C22×D8311yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—3321no—
1219C24—3321no—
1220C24—3321no—
1221C24—3321no—
1222C24—3321no—
1223C24—3321no—
1224C24—834no—
1225C24—831no—
1226C24—831no—
1227C24C2×C4×D8314yes—
1228C24C23×D8311yescharacteristic
1229C24C23×D8311yescharacteristic
1230C24C23×D8311yescharacteristic
1231C24C23×D8311yescharacteristic
1232#41—33216no—
1233C2×Q8—3321no—
1234C2×Q8—3321no—
1235C2×Q8—834no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—33216no—
1243C2×D4—3321no—
1244C2×D4—3321no—
1245C2×D4—3321no—
1246C2×D4—3321no—
1247C2×D4—3321no—
1248C2×D4—3321no—
1249C2×D4—3321no—
1250C2×D4—3321no—
1251C2×D4—834no—
1252C2×D4—834no—
1253C2×D4—834no—
1254C2×D4—834no—
1255C2×D4—834no—
1256C2×D4—834no—
1257C2×D4—1662no—
1258C2×D4—1662no—
1259C2×D4—1662no—
1260C2×D4—1662no—
1261C2×D4C2×C4×D8314yes—
1262C2×D4C2×C4×D8314yes—
1263C2×D4C2×C4×D8314yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—3321no—
1274C22×C4—3321no—
1275C22×C4—3321no—
1276C22×C4—3321no—
1277C22×C4—3321no—
1278C22×C4—3321no—
1279C22×C4—3321no—
1280C22×C4—3321no—
1281C22×C4—3321no—
1282C22×C4—3321no—
1283C22×C4—3321no—
1284C22×C4—3321no—
1285C22×C4—3321no—
1286C22×C4—3321no—
1287C22×C4—3321no—
1288C22×C4—3321no—
1289C22×C4—3321no—
1290C22×C4—3321no—
1291C22×C4—3321no—
1292C22×C4—3321no—
1293C22×C4—3321no—
1294C22×C4—3321no—
1295C22×C4—3321no—
1296C22×C4—3321no—
1297C22×C4—3321no—
1298C22×C4—3321no—
1299C22×C4—834no—
1300C22×C4—834no—
1301C22×C4—834no—
1302C22×C4—834no—
1303C22×C4—834no—
1304C22×C4—834no—
1305C22×C4—831no—
1306C22×C4—831no—
1307C22×C4—831no—
1308C22×C4—831no—
1309C22×C4—831no—
1310C22×C4—831no—
1311C22×C4—831no—
1312C22×C4—831no—
1313C22×C4—831no—
1314C22×C4—831no—
1315C22×C4—831no—
1316C22×C4—831no—
1317C22×C4—831no—
1318C22×C4—831no—
1319C22×C4—1662no—
1320C22×C4—1662no—
1321C22×C4—1662no—
1322C22×C4—1662no—
1323C22×C4—1662no—
1324C22×C4—1662no—
1325C22×C4—1662no—
1326C22×C4C23×D8311yescharacteristic
1327C22×C4C23×D8311yescharacteristic
1328C22×C4C23×D8311yescharacteristic
1329C22×C4C23×D8311yescharacteristic
1330C22×C4C23×D8311yescharacteristic
1331C22×C4C23×D8311yescharacteristic
1332C22×C4C23×D8311yescharacteristic
1333C22×C4C23×D8311yescharacteristic
1334C22×C4C23×D8311yescharacteristic
1335C22×C4C23×D8311yescharacteristic
1336C22×C4C23×D8311yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—3321no—
1341C4⋊C4—3321no—
1342C4⋊C4—3321no—
1343C4⋊C4—3321no—
1344C4⋊C4—3321no—
1345C4⋊C4—3321no—
1346C4⋊C4—3321no—
1347C4⋊C4—3321no—
1348C4⋊C4—3321no—
1349C4⋊C4—3321no—
1350C4⋊C4—3321no—
1351C4⋊C4—3321no—
1352C4⋊C4—834no—
1353C4⋊C4—834no—
1354C4⋊C4—834no—
1355C4⋊C4—834no—
1356C4⋊C4—1662no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—3321no—
1371C22⋊C4—3321no—
1372C22⋊C4—3321no—
1373C22⋊C4—3321no—
1374C22⋊C4—3321no—
1375C22⋊C4—3321no—
1376C22⋊C4—3321no—
1377C22⋊C4—3321no—
1378C22⋊C4—3321no—
1379C22⋊C4—3321no—
1380C22⋊C4—3321no—
1381C22⋊C4—3321no—
1382C22⋊C4—3321no—
1383C22⋊C4—3321no—
1384C22⋊C4—3321no—
1385C22⋊C4—3321no—
1386C22⋊C4—3321no—
1387C22⋊C4—3321no—
1388C22⋊C4—3321no—
1389C22⋊C4—3321no—
1390C22⋊C4—834no—
1391C22⋊C4—834no—
1392C22⋊C4—834no—
1393C22⋊C4—834no—
1394C22⋊C4—834no—
1395C22⋊C4—834no—
1396C22⋊C4—834no—
1397C22⋊C4—834no—
1398C22⋊C4—834no—
1399C22⋊C4—1662no—
1400C22⋊C4—1662no—
1401C22⋊C4—1662no—
1402C22⋊C4—1662no—
1403C22⋊C4—1662no—
1404C22⋊C4C2×C4×D8314yes—
1405C22⋊C4C2×C4×D8314yes—
1406C22⋊C4C2×C4×D8314yes—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—3321no—
1411C42—3321no—
1412C42—3321no—
1413C42—3321no—
1414C42—3321no—
1415C42—3321no—
1416C42—3321no—
1417C42—3321no—
1418C42—3321no—
1419C42—3321no—
1420C42—3321no—
1421C42—834no—
1422C42—1662no—
1423C42—1662no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—28no—
1447C23—44no—
1448C23—44no—
1449C23—82no—
1450C23—82no—
1451C23—82no—
1452C23—82no—
1453C23—3324no—
1454C23—3324no—
1455C23—3324no—
1456C23—832no—
1457C23—832no—
1458C23—6642no—
1459C23—6642no—
1460C23—6642no—
1461C23—6642no—
1462C23—1661no—
1463C23—1661no—
1464C23—1661no—
1465C23—1661no—
1466C23—1661no—
1467C23—1661no—
1468C23—1661no—
1469C23—1661no—
1470C23—1661no—
1471C23—1661no—
1472C23—1661no—
1473C23—1661no—
1474C23C22×C4×D8312yes—
1475C23C22×C4×D8312yes—
1476C23C22×C4×D8312yes—
1477C23C22×C4×D8312yes—
1478C23#1458183712yes—
1479C23#1458183812yes—
1480C23C24×D8311yescharacteristic
1481Q8—3324no—
1482D4—28no—
1483D4—44no—
1484D4—44no—
1485D4—3324no—
1486D4—3324no—
1487D4—3324no—
1488D4—3324no—
1489D4—1668no—
1490D4—1668no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—44no—
1522C2×C4—82no—
1523C2×C4—82no—
1524C2×C4—3324no—
1525C2×C4—3324no—
1526C2×C4—3324no—
1527C2×C4—3324no—
1528C2×C4—3324no—
1529C2×C4—3324no—
1530C2×C4—832no—
1531C2×C4—832no—
1532C2×C4—832no—
1533C2×C4—832no—
1534C2×C4—832no—
1535C2×C4—832no—
1536C2×C4—832no—
1537C2×C4—6642no—
1538C2×C4—6642no—
1539C2×C4—6642no—
1540C2×C4—6642no—
1541C2×C4—6642no—
1542C2×C4—6642no—
1543C2×C4—1661no—
1544C2×C4—1661no—
1545C2×C4—1661no—
1546C2×C4—1661no—
1547C2×C4—1661no—
1548C2×C4—1661no—
1549C2×C4—1661no—
1550C2×C4—1661no—
1551C2×C4—1661no—
1552C2×C4—1661no—
1553C2×C4—1661no—
1554C2×C4—1661no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4—1661no—
1562C2×C4—1661no—
1563C2×C4—1661no—
1564C2×C4—1668no—
1565C2×C4—1661no—
1566C2×C4—1661no—
1567C2×C4—1661no—
1568C2×C4—1661no—
1569C2×C4—1661no—
1570C2×C4—1661no—
1571C2×C4—1661no—
1572C2×C4—1661no—
1573C2×C4—1661no—
1574C2×C4—1661no—
1575C2×C4—1661no—
1576C2×C4—1661no—
1577C2×C4—1661no—
1578C2×C4—1661no—
1579C2×C4C22×C4×D8312yes—
1580C2×C4C22×C4×D8312yes—
1581C2×C4C22×C4×D8312yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—88no—
1610C22—3321no—
1611C22—3321no—
1612C22—3321no—
1613C22—3321no—
1614C22—3321no—
1615C22—3321no—
1616C22—3321no—
1617C22—3321no—
1618C22—6648no—
1619C22—1662no—
1620C22—1662no—
1621C22—1662no—
1622C22—1662no—
1623C22—1662no—
1624C22—1662no—
1625C22#1912817314yes—
1626C22C23×C4×D8311yescharacteristic
1627C22H(5,𝔽2)×D8311yescharacteristic
1628C22C2×#1458183711yescharacteristic
1629C22C2×#1458183811yescharacteristic
1630C22#1912853611yescharacteristic
1631C22#1912853611yescharacteristic
1632C22#1912853611yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—3321no—
1645C4—3321no—
1646C4—3321no—
1647C4—3321no—
1648C4—3321no—
1649C4—3321no—
1650C4—3321no—
1651C4—1662no—
1652C4—1662no—
1653C4—1662no—
1654C4—1662no—
1655C4—1662no—
1656C4—1662no—
1657C4—1662no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—3322no—
1663C2—3322no—
1664C2C2×#1912817311yescharacteristic
1665C2#2492066111yescharacteristic
1666C2#2492066711yescharacteristic
1667C2#2492165411yescharacteristic
1668C2#2492176611yescharacteristic
1669C2#2492181211yescharacteristic
1670C2#2492201711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2321C2
socle, cosocleC23×C83C25
prime radicalC2×#19128338C2
hypercenter#2321D83
hypocenterC83#34492
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
2. #24910630C2semidirect
3. #24910614C2semidirect
4. #24910605C2semidirect
5. #24910601C2semidirect
6. #24910570C2semidirect
7. #24910508C2semidirect
8. #24910506C2semidirect
9. #24910457C2semidirect
10. #24910447C2semidirect
11. #24910401C2semidirect
12. #24910397C2semidirect
13. #24910314C2semidirect
14. #24910311C2semidirect
15. #24910288C2semidirect
16. #24910279C2semidirect
17. #24910270C2semidirect
18. #24910251C2semidirect
19. #24910224C2semidirect
20. #24910220C2semidirect
21. #24910164C2semidirect
22. #24910131C2semidirect
23. #24910122C2semidirect
24. #24910100C2semidirect
25. #24910057C2semidirect
26. #24910050C2semidirect
27. #24910038C2semidirect
28. #24909973C2semidirect
29. #24909899C2semidirect
30. C2×#19127595C2semidirect
31. C83×#2321C2semidirect
34. #19128338C4semidirect
44. C2×D4×Dic83C22semidirect
45. C2×D4×Dic83C22semidirect
49. C2×(C22⋊D83)⋊C4C22semidirect
50. C2×#14581750C22semidirect
51. C2×#14581748C22semidirect
52. C22×Dic83⋊C4C22semidirect
58. C22×C4×Dic83C22semidirect
59. #19127607C22semidirect
60. #19127606C22semidirect
61. #19127605C22semidirect
62. #19127605C22semidirect
66. #19127601C22semidirect
67. #19127601C22semidirect
68. #19127601C22semidirect
69. #19127599C22semidirect
70. #19127598C22semidirect
71. #19127597C22semidirect
72. #19127597C22semidirect
79. #19127595C22semidirect
80. #19127595C22semidirect
81. #19127595C22semidirect
82. #19127595C22semidirect
83. #19127595C22semidirect
86. #19127593C22semidirect
87. #19127593C22semidirect
88. #19127593C22semidirect
89. #19127592C22semidirect
90. #19127592C22semidirect
91. #19127591C22semidirect
92. #19127591C22semidirect
93. #19127590C22semidirect
94. #19127590C22semidirect
95. #19127590C22semidirect
98. #19127589C22semidirect
99. #19127588C22semidirect
100. #19127586C22semidirect
101. #19127586C22semidirect
102. #19127585C22semidirect
103. #19127585C22semidirect
104. #19127584C22semidirect
105. #19127584C22semidirect
106. #19127583C22semidirect
107. #19127582C22semidirect
108. #19127582C22semidirect
110. #19127581C22semidirect
111. #19127581C22semidirect
116. #19127580C22semidirect
117. #19127580C22semidirect
124. #19127578C22semidirect
127. #19127577C22semidirect
128. #19127576C22semidirect
129. #19127576C22semidirect
130. #19127575C22semidirect
131. #19127573C22semidirect
132. #19127573C22semidirect
133. #19127572C22semidirect
134. #19127572C22semidirect
135. #19127568C22semidirect
136. #19127563C22semidirect
139. #19127562C22semidirect
140. #19127562C22semidirect
141. #19127560C22semidirect
142. #19127560C22semidirect
144. #19127559C22semidirect
145. #19127559C22semidirect
146. #19127559C22semidirect
147. #19127558C22semidirect
151. C4⋊C4×Dic83C22semidirect
152. C4×C4⋊Dic83C22semidirect
153. #19127552C22semidirect
155. C22⋊C4×Dic83C22semidirect
156. C22⋊C4×Dic83C22semidirect
157. C22⋊C4×Dic83C22semidirect
158. C22⋊C4×Dic83C22semidirect
159. C22⋊C4×Dic83C22semidirect
160. C22⋊C4×Dic83C22semidirect
161. C4×(C2×D83)⋊C4C22semidirect
162. C4×(C2×D83)⋊C4C22semidirect
163. C4×(C2×D83)⋊C4C22semidirect
164. C4×(C2×D83)⋊C4C22semidirect
165. C4×C22⋊Dic83C22semidirect
166. #19127548C22semidirect
167. #19127548C22semidirect
168. #19127547C22semidirect
169. #19127546C22semidirect
170. C2×C83⋊#95C22semidirect
171. C2×C83⋊#95C22semidirect
172. C2×C83⋊#95C22semidirect
174. C2×C4×D4×C83C22semidirect
177. #390×C83C22semidirect
180. #388×C83C22semidirect
181. #388×C83C22semidirect
183. #386×C83C22semidirect
184. #386×C83C22semidirect
185. #385×C83C22semidirect
187. C4×C22⋊C4×C83C22semidirect
191. C2×#13050589C2×C4semidirect
195. C22×C22⋊D83C2×C4semidirect
215. #14581778C2×C4semidirect
216. #14581776C2×C4semidirect
217. #14581774C2×C4semidirect
218. #14581769C2×C4semidirect
219. #14581764C2×C4semidirect
220. #14581764C2×C4semidirect
221. #14581763C2×C4semidirect
222. #14581760C2×C4semidirect
225. D4×Dic83C2×C4semidirect
229. (C22⋊D83)⋊C4C2×C4semidirect
252. C2×C22⋊Dic83C2×C4semidirect
288. C22⋊C4×D83C2×C4semidirect
345. #120×C83C2×C4semidirect
859. #2321D83semidirect
867. C83#34492semidirect
887. C2×C4×D4C2×D83semidirect
909. #390C2×D83semidirect
942. #388C2×D83semidirect
943. #388C2×D83semidirect
974. #386C2×D83semidirect
975. #386C2×D83semidirect
983. #385C2×D83semidirect
1018. C4×C22⋊C4C2×D83semidirect
1066. #120C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283382
#249106302
#249106142
#249106052
#249106012
#249105702
#249105082
#249105062
#249104572
#249104472
#249104012
#249103972
#249103142
#249103112
#249102882
#249102792
#249102702
#249102512
#249102242
#249102202
#249101642
#249101312
#249101222
#249101002
#249100572
#249100502
#249100382
#249099732
#249098992
C2×#191275952
C83×#23212
#3449283