Finite Group Databasebeta

← #35569766

Subgroups — #35569766

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×#19128345C211yesmaximal, characteristic
2#24910626C211yesmaximal, characteristic, complemented
3#24910615C211yesmaximal, characteristic, complemented
4#24910613C211yesmaximal, characteristic, complemented
5#24910602C211yesmaximal, characteristic, complemented
6#24910572C211yesmaximal, characteristic, complemented
7#24910508C211yesmaximal, characteristic, complemented
8#24910498C211yesmaximal, characteristic, complemented
9#24910449C211yesmaximal, characteristic, complemented
10#24910442C211yesmaximal, characteristic, complemented
11#24910406C211yesmaximal, characteristic, complemented
12#24910401C211yesmaximal, characteristic, complemented
13#24910314C211yesmaximal, characteristic, complemented
14#24910308C211yesmaximal, characteristic, complemented
15#24910289C211yesmaximal, characteristic, complemented
16#24910272C211yesmaximal, characteristic, complemented
17#24910250C211yesmaximal, characteristic, complemented
18#24910222C211yesmaximal, characteristic, complemented
19#24910219C211yesmaximal, characteristic, complemented
20#24910165C211yesmaximal, characteristic, complemented
21#24910128C211yesmaximal, characteristic, complemented
22#24910121C211yesmaximal, characteristic, complemented
23#24910118C211yesmaximal, characteristic, complemented
24#24910105C211yesmaximal, characteristic, complemented
25#24910059C211yesmaximal, characteristic, complemented
26#24910050C211yesmaximal, characteristic, complemented
27#24910041C211yesmaximal, characteristic, complemented
28C4×#14581764C211yesmaximal, characteristic, complemented
29#24909903C211yesmaximal, characteristic, complemented
30C2×#19127589C211yesmaximal, characteristic, complemented
31D4×C22⋊C4×C83C211yesmaximal, characteristic, complemented
32C22×#13050589C2211yescharacteristic
33#19128345C4116yescomplemented
34C2×#14581779C2211yescharacteristic
35C2×#14581773C2211yescharacteristic
36C2×#14581773C2211yescharacteristic
37C2×#14581771C2211yescharacteristic
38C2×#14581764C2211yescharacteristic
39C2×#14581764C2211yescharacteristic
40C2×#14581763C2211yescharacteristic
41C2×#14581761C2211yescharacteristic
42C2×#14581761C2211yescharacteristic
43C2×D4×Dic83C2211yescharacteristic
44C2×C4×C22⋊D83C2211yescharacteristic
45C2×C4×C22⋊D83C2211yescharacteristic, complemented
46C2×C4×C22⋊D83C2211yescharacteristic, complemented
47C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
48C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
49C2×#14581748C2211yescharacteristic, complemented
50C2×#14581748C2211yescharacteristic, complemented
51C22×Dic83⋊C4C2211yescharacteristic, complemented
52C22×C22⋊Dic83C2211yescharacteristic
53C22×C22⋊Dic83C2211yescharacteristic
54C22×C22⋊Dic83C2211yescharacteristic
55C22×C22⋊Dic83C2211yescharacteristic
56C22×C4×Dic83C2211yescharacteristic, complemented
57#19127605C2211yescharacteristic, complemented
58#19127605C2211yescharacteristic, complemented
59#19127605C2211yescharacteristic, complemented
60#19127605C2211yescharacteristic, complemented
61#19127601C2211yescharacteristic
62#19127601C2211yescharacteristic
63#19127601C2211yescharacteristic, complemented
64#19127601C2211yescharacteristic, complemented
65#19127601C2211yescharacteristic, complemented
66#19127601C2211yescharacteristic, complemented
67#19127596C2211yescharacteristic, complemented
68#19127596C2211yescharacteristic, complemented
69#19127596C2211yescharacteristic, complemented
70#19127596C2211yescharacteristic, complemented
71#19127595C2211yescharacteristic
72#19127595C2211yescharacteristic
73#19127595C2211yescharacteristic
74#19127595C2211yescharacteristic
75#19127595C2211yescharacteristic, complemented
76#19127595C2211yescharacteristic, complemented
77#19127595C2211yescharacteristic, complemented
78#19127595C2211yescharacteristic, complemented
79#19127595C2211yescharacteristic, complemented
80#19127595C2211yescharacteristic, complemented
81#19127595C2211yescharacteristic, complemented
82#19127595C2211yescharacteristic, complemented
83#19127591C2211yescharacteristic, complemented
84#19127591C2211yescharacteristic, complemented
85#19127589C2211yescharacteristic
86#19127589C2211yescharacteristic
87#19127589C2211yescharacteristic
88#19127589C2211yescharacteristic
89#19127589C2211yescharacteristic
90#19127589C2211yescharacteristic
91#19127589C2211yescharacteristic
92#19127589C2211yescharacteristic
93#19127589C2211yescharacteristic, complemented
94#19127589C2211yescharacteristic, complemented
95#19127589C2211yescharacteristic, complemented
96#19127589C2211yescharacteristic, complemented
97#19127589C2211yescharacteristic, complemented
98#19127589C2211yescharacteristic, complemented
99#19127589C2211yescharacteristic, complemented
100#19127589C2211yescharacteristic, complemented
101#19127586C2211yescharacteristic, complemented
102#19127586C2211yescharacteristic, complemented
103#19127585C2211yescharacteristic, complemented
104#19127585C2211yescharacteristic, complemented
105#19127585C2211yescharacteristic, complemented
106#19127585C2211yescharacteristic, complemented
107#19127584C2211yescharacteristic, complemented
108#19127584C2211yescharacteristic, complemented
109#19127582C2211yescharacteristic, complemented
110#19127582C2211yescharacteristic, complemented
111#19127581C2211yescharacteristic
112#19127581C2211yescharacteristic
113#19127581C2211yescharacteristic
114#19127581C2211yescharacteristic
115#19127581C2211yescharacteristic
116#19127581C2211yescharacteristic
117#19127581C2211yescharacteristic
118#19127581C2211yescharacteristic
119#19127580C2211yescharacteristic, complemented
120#19127580C2211yescharacteristic, complemented
121#19127578C2211yescharacteristic, complemented
122#19127578C2211yescharacteristic, complemented
123#19127577C2211yescharacteristic
124#19127577C2211yescharacteristic
125#19127577C2211yescharacteristic, complemented
126#19127577C2211yescharacteristic, complemented
127#19127577C2211yescharacteristic, complemented
128#19127577C2211yescharacteristic, complemented
129#19127574C2211yescharacteristic, complemented
130#19127574C2211yescharacteristic, complemented
131#19127574C2211yescharacteristic, complemented
132#19127574C2211yescharacteristic, complemented
133#19127573C2211yescharacteristic, complemented
134#19127573C2211yescharacteristic, complemented
135#19127573C2211yescharacteristic, complemented
136#19127573C2211yescharacteristic, complemented
137#19127568C2211yescharacteristic, complemented
138#19127564C2211yescharacteristic
139#19127564C2211yescharacteristic
140#19127563C2211yescharacteristic, complemented
141#19127562C2211yescharacteristic, complemented
142#19127562C2211yescharacteristic, complemented
143#19127560C2211yescharacteristic, complemented
144#19127560C2211yescharacteristic, complemented
145#19127559C2211yescharacteristic, complemented
146#19127559C2211yescharacteristic, complemented
147#19127559C2211yescharacteristic, complemented
148#19127559C2211yescharacteristic, complemented
149#19127557C2211yescharacteristic
150#19127557C2211yescharacteristic
151C4×Dic83⋊C4C2211yescharacteristic, complemented
152C4×Dic83⋊C4C2211yescharacteristic, complemented
153#19127552C2211yescharacteristic, complemented
154C22⋊C4×Dic83C2211yescharacteristic, complemented
155C22⋊C4×Dic83C2211yescharacteristic, complemented
156C22⋊C4×Dic83C2211yescharacteristic, complemented
157C22⋊C4×Dic83C2211yescharacteristic, complemented
158C22⋊C4×Dic83C2211yescharacteristic, complemented
159C22⋊C4×Dic83C2211yescharacteristic, complemented
160C22⋊C4×Dic83C2211yescharacteristic, complemented
161C22⋊C4×Dic83C2211yescharacteristic, complemented
162C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
164C4×C22⋊Dic83C2211yescharacteristic, complemented
165C4×C22⋊Dic83C2211yescharacteristic, complemented
166C4×C22⋊Dic83C2211yescharacteristic, complemented
167C4×C22⋊Dic83C2211yescharacteristic, complemented
168#19127546C2211yescharacteristic, complemented
169#19127546C2211yescharacteristic, complemented
170C2×C83⋊#95C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
172#95×D83C2211yescharacteristic, complemented
173C23×D4×C83C2211yescharacteristic
174C2×C4×D4×C83C2211yescharacteristic
175C2×C4×D4×C83C2211yescharacteristic
176C22×C22⋊C4×C83C2211yescharacteristic
177C22×C22⋊C4×C83C2211yescharacteristic
178#390×C83C2211yescharacteristic
179#390×C83C2211yescharacteristic
180#386×C83C2211yescharacteristic
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#380×C83C2211yescharacteristic
185#379×C83C2211yescharacteristic
186#379×C83C2211yescharacteristic
187C4×C22⋊C4×C83C2211yescharacteristic
188C2×#13050589—42no—
189C2×#13050589—42no—
190C2×#13050589C2×C418yescomplemented
191C22×Dic166C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198C23×Dic83C2311yescharacteristic
199C23×Dic83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208#14581779C2×C418yescomplemented
209#14581773C2×C418yescomplemented
210#14581773C2×C418yescomplemented
211#14581771C2×C418yescomplemented
212#14581764C2×C418yescomplemented
213#14581764C2×C418yescomplemented
214#14581763C2×C418yescomplemented
215#14581761C2×C418yescomplemented
216#14581761C2×C418yescomplemented
217D4×Dic83C2×C418yescomplemented
218C4×C22⋊D83—42no—
219C4×C22⋊D83—42no—
220C4×C22⋊D83C2×C418yescomplemented
221(C22⋊D83)⋊C4—42no—
222(C22⋊D83)⋊C4—42no—
223#14581748—42no—
224#14581748—42no—
225C2×C4⋊Dic83C2311yescharacteristic
226C2×Dic83⋊C4—42no—
227C2×Dic83⋊C4C2311yescharacteristic
228C2×Dic83⋊C4C2311yescharacteristic
229C2×Dic83⋊C4C2311yescharacteristic
230C2×Dic83⋊C4C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×C22⋊Dic83—42no—
245C2×C22⋊Dic83—42no—
246C2×C22⋊Dic83C2×C418yescomplemented
247C2×C22⋊Dic83C2×C418yescomplemented
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×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×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
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×C4×Dic83—42no—
283C2×C4×Dic83C2311yescharacteristic
284C2×C4×Dic83C2311yescharacteristic
285C2×C4×Dic83C2311yescharacteristic
286C2×C4×Dic83C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C25×C83C2311yescharacteristic
335C25×C83C2311yescharacteristic
336C22×D4×C83—42no—
337C22×D4×C83—42no—
338C22×D4×C83C2×C418yescomplemented
339C22×D4×C83C2311yescharacteristic
340C22×D4×C83C2311yescharacteristic
341C22×D4×C83C2311yescharacteristic
342C22×D4×C83C2311yescharacteristic
343C23×C4×C83C2311yescharacteristic
344C23×C4×C83C2311yescharacteristic
345C23×C4×C83C2311yescharacteristic
346C23×C4×C83C2311yescharacteristic
347C23×C4×C83C2311yescharacteristic
348C4×D4×C83—42no—
349C4×D4×C83—42no—
350C2×C4⋊C4×C83C2311yescharacteristic
351C2×C4⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83—42no—
353C2×C22⋊C4×C83—42no—
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×C22⋊C4×C83C2311yescharacteristic
368C2×C22⋊C4×C83C2311yescharacteristic
369C2×C22⋊C4×C83C2311yescharacteristic
370C2×C42×C83C2311yescharacteristic
371C2×C42×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375#95×C83C2311yescharacteristic
376C23×D83C2411yescharacteristic
377#13050589—416no—
378C2×Dic166—41no—
379C2×Dic166—41no—
380C2×Dic166C22×C414yes—
381C2×C22⋊D83—22no—
382C2×C22⋊D83—22no—
383C2×C22⋊D83—41no—
384C2×C22⋊D83—41no—
385C2×C22⋊D83—41no—
386C2×C22⋊D83—41no—
387C2×C22⋊D83—41no—
388C2×C22⋊D83—41no—
389C2×C22⋊D83—41no—
390C2×C22⋊D83—41no—
391C2×C22⋊D83C22×C414yes—
392C2×C22⋊D83C22×C414yes—
393C2×C22⋊D83C22×C414yes—
394C2×C22⋊D83C22×C414yes—
395C2×C22⋊D83C22×C414yes—
396C22×Dic83—22no—
397C22×Dic83—22no—
398C22×Dic83—22no—
399C22×Dic83—22no—
400C22×Dic83—41no—
401C22×Dic83—41no—
402C22×Dic83—41no—
403C22×Dic83—41no—
404C22×Dic83—41no—
405C22×Dic83—41no—
406C22×Dic83—41no—
407C22×Dic83—41no—
408C22×Dic83—41no—
409C22×Dic83—41no—
410C22×Dic83—41no—
411C22×Dic83—41no—
412C22×Dic83—41no—
413C22×Dic83—41no—
414C22×Dic83—41no—
415C22×Dic83—41no—
416C22×Dic83C22×C414yes—
417C22×Dic83C22×C414yes—
418C22×Dic83C22×C414yes—
419C22×Dic83C22×C414yes—
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
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—22no—
436C2×C4×D83—41no—
437C2×C4×D83—41no—
438C2×C4×D83—41no—
439C2×C4×D83—41no—
440C2×C4×D83—41no—
441C2×C4×D83—41no—
442C2×C4×D83—41no—
443C2×C4×D83C22×C414yes—
444C4⋊Dic83C22×C414yes—
445Dic83⋊C4—22no—
446Dic83⋊C4—41no—
447Dic83⋊C4—41no—
448Dic83⋊C4—41no—
449Dic83⋊C4—41no—
450Dic83⋊C4—41no—
451Dic83⋊C4—41no—
452Dic83⋊C4—41no—
453Dic83⋊C4—41no—
454Dic83⋊C4—41no—
455Dic83⋊C4—41no—
456Dic83⋊C4—41no—
457Dic83⋊C4—41no—
458Dic83⋊C4—41no—
459Dic83⋊C4C22×C414yes—
460Dic83⋊C4C22×C414yes—
461Dic83⋊C4C22×C414yes—
462C22⋊Dic83—22no—
463C22⋊Dic83—22no—
464C22⋊Dic83—41no—
465C22⋊Dic83—41no—
466C22⋊Dic83—41no—
467C22⋊Dic83—41no—
468C22⋊Dic83—41no—
469C22⋊Dic83—41no—
470C22⋊Dic83—41no—
471C22⋊Dic83—41no—
472C22⋊Dic83—41no—
473C22⋊Dic83—41no—
474C22⋊Dic83—41no—
475C22⋊Dic83—41no—
476C22⋊Dic83—41no—
477C22⋊Dic83—41no—
478C22⋊Dic83C22×C414yes—
479C22⋊Dic83C22×C414yes—
480C22⋊Dic83C22×C414yes—
481C22⋊Dic83C22×C414yes—
482C22⋊Dic83C22×C414yes—
483C22⋊Dic83C22×C414yes—
484C22⋊Dic83C22×C414yes—
485C22⋊Dic83C22×C414yes—
486C22⋊Dic83C22×C414yes—
487C22⋊Dic83C22×C414yes—
488C22⋊Dic83C22×C414yes—
489(C2×D83)⋊C4—41no—
490(C2×D83)⋊C4—41no—
491(C2×D83)⋊C4—41no—
492(C2×D83)⋊C4—41no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495(C2×D83)⋊C4C22×C414yes—
496C4×Dic83—22no—
497C4×Dic83—22no—
498C4×Dic83—41no—
499C4×Dic83—41no—
500C4×Dic83—41no—
501C4×Dic83—41no—
502C4×Dic83—41no—
503C4×Dic83—41no—
504C4×Dic83—41no—
505C4×Dic83—41no—
506C4×Dic83—41no—
507C4×Dic83—41no—
508C4×Dic83—41no—
509C4×Dic83—41no—
510C4×Dic83C22×C414yes—
511C24×C83—22no—
512C24×C83—22no—
513C24×C83—41no—
514C24×C83—41no—
515C24×C83—41no—
516C24×C83—41no—
517C24×C83—41no—
518C24×C83—41no—
519C24×C83—41no—
520C24×C83—41no—
521C24×C83—41no—
522C24×C83—41no—
523C24×C83C22×C414yes—
524C24×C83C22×C414yes—
525C24×C83C2411yescharacteristic
526C24×C83C2411yescharacteristic
527C24×C83C2411yescharacteristic
528C24×C83C2411yescharacteristic
529C24×C83C2411yescharacteristic
530C2×D4×C83—22no—
531C2×D4×C83—22no—
532C2×D4×C83—22no—
533C2×D4×C83—22no—
534C2×D4×C83—41no—
535C2×D4×C83—41no—
536C2×D4×C83—41no—
537C2×D4×C83—41no—
538C2×D4×C83—416no—
539C2×D4×C83C22×C414yes—
540C2×D4×C83C22×C414yes—
541C2×D4×C83C22×C414yes—
542C2×D4×C83C22×C414yes—
543C22×C4×C83—22no—
544C22×C4×C83—22no—
545C22×C4×C83—22no—
546C22×C4×C83—22no—
547C22×C4×C83—41no—
548C22×C4×C83—41no—
549C22×C4×C83—41no—
550C22×C4×C83—41no—
551C22×C4×C83—41no—
552C22×C4×C83—41no—
553C22×C4×C83—41no—
554C22×C4×C83—41no—
555C22×C4×C83—41no—
556C22×C4×C83—41no—
557C22×C4×C83C22×C414yes—
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22×C4×C83C2411yescharacteristic
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564C22×C4×C83C2411yescharacteristic
565C22×C4×C83C2411yescharacteristic
566C22×C4×C83C2411yescharacteristic
567C22×C4×C83C2411yescharacteristic
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—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×C83—41no—
583C22⋊C4×C83—41no—
584C22⋊C4×C83—41no—
585C22⋊C4×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—21no—
611C23×C83—21no—
612C23×C83—21no—
613C23×C83—21no—
614C23×C83—21no—
615C23×C83—21no—
616C23×C83—28no—
617C23×C83—44no—
618C23×C83—44no—
619C23×C83—44no—
620C23×C83—44no—
621C23×C83—44no—
622C23×C83—82no—
623C23×C83—82no—
624C23×C83—82no—
625C23×C83—82no—
626C23×C83—82no—
627C23×C83—82no—
628C23×C83—82no—
629C23×C83—82no—
630C23×C83C23×C412yes—
631C23×C83C23×C412yes—
632C23×C83C23×C412yes—
633C23×C83C23×C412yes—
634C23×C83C23×C412yes—
635C23×C83H(5,𝔽2)12yes—
636C23×C83H(5,𝔽2)12yes—
637C23×C83C2511yescharacteristic
638C22×D83—21no—
639C22×D83—21no—
640C22×D83—21no—
641C22×D83—21no—
642C22×D83—21no—
643C22×D83—21no—
644C22×D83C23×C412yes—
645D4×C83—28no—
646D4×C83—28no—
647D4×C83—44no—
648D4×C83—44no—
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—44no—
677C2×C4×C83—44no—
678C2×C4×C83—82no—
679C2×C4×C83—82no—
680C2×C4×C83—82no—
681C2×C4×C83C23×C412yes—
682C2×C4×C83C23×C412yes—
683C2×C4×C83H(5,𝔽2)12yes—
684C22⋊D83—28no—
685C22⋊D83—44no—
686C22⋊D83—44no—
687C22⋊D83—44no—
688C22⋊D83—44no—
689C2×Dic83—28no—
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—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—21no—
727C2×Dic83—21no—
728C2×Dic83—44no—
729C2×Dic83—44no—
730C2×Dic83—44no—
731C2×Dic83—44no—
732C2×Dic83—82no—
733C2×Dic83—82no—
734C2×Dic83—82no—
735C2×Dic83C23×C412yes—
736C2×Dic83C23×C412yes—
737C2×Dic83C23×C412yes—
738C2×Dic83C23×C412yes—
739C2×Dic83C23×C412yes—
740C2×Dic83C23×C412yes—
741C2×Dic83C23×C412yes—
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—22no—
762C22×C83—22no—
763C22×C83—22no—
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—41no—
774C22×C83—41no—
775C22×C83—41no—
776C22×C83—41no—
777C22×C83—41no—
778C22×C83—41no—
779C22×C83—41no—
780C22×C83—88no—
781C22×C83—88no—
782C22×C83#51814yes—
783C22×C83C24×C411yescharacteristic
784C22×C83C2×H(5,𝔽2)11yescharacteristic
785C22×C83C2×H(5,𝔽2)11yescharacteristic
786C22×C83C2×H(5,𝔽2)11yescharacteristic
787C22×C83#58511yescharacteristic
788C22×C83#58511yescharacteristic
789C22×C83#58511yescharacteristic
790C2×D83—22no—
791C2×D83—22no—
792C2×D83—22no—
793C2×D83—41no—
794C2×D83—41no—
795C2×D83—41no—
796C2×D83—41no—
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—
807Dic83—22no—
808Dic83—22no—
809Dic83—22no—
810Dic83—22no—
811Dic83—22no—
812Dic83—22no—
813Dic83—22no—
814Dic83—41no—
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×C83—42no—
828C2×C83C2×#51811yescharacteristic
829C2×C83#342811yescharacteristic
830C2×C83C4×H(5,𝔽2)11yescharacteristic
831C2×C83#353411yescharacteristic
832C2×C83#354211yescharacteristic
833C2×C83#354511yescharacteristic
834C2×C83#356011yescharacteristic
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⋊C4D8311yescharacteristic, complemented
852#2337—831no—
853#2335—831no—
854#2333—831no—
855#2332—831no—
856#2325—831no—
857#2322—831no—
858#2321—831no—
859#2321—831no—
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×D4C2×D8311yescharacteristic
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×#120—831no—
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×D4C2×D8311yescharacteristic
887C2×C4×D4C2×D8311yescharacteristic
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⋊C4C2×D8311yescharacteristic
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
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#388—831no—
941#388—831no—
942#388—831no—
943#388—831no—
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#386C2×D8311yescharacteristic
973#386C2×D8311yescharacteristic
974#386C2×D8311yescharacteristic
975#386C2×D8311yescharacteristic
976#385—831no—
977#385—831no—
978#385—831no—
979#385—831no—
980#385—831no—
981#385—831no—
982#385—831no—
983#385—831no—
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#380C2×D8311yescharacteristic
997#379—831no—
998#379—831no—
999#379C2×D8311yescharacteristic
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
1019#376—831no—
1020#376—831no—
1021C2×#95—831no—
1022C2×#95—831no—
1023C2×#95—831no—
1024C25C22×D8311yescharacteristic
1025C25C22×D8311yescharacteristic
1026C2×#41—3322no—
1027C2×#41—3322no—
1028C2×#41—838no—
1029C22×Q8—831no—
1030C22×D4—42no—
1031C22×D4—42no—
1032C22×D4—831no—
1033C22×D4—831no—
1034C22×D4—831no—
1035C22×D4—831no—
1036C22×D4—831no—
1037C22×D4C4×D8318yescomplemented
1038C22×D4C22×D8311yescharacteristic
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×C4C22×D8311yescharacteristic
1054C23×C4C22×D8311yescharacteristic
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#120—838no—
1067C4×D4—42no—
1068C4×D4—42no—
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⋊C4—831no—
1096C2×C4⋊C4C22×D8311yescharacteristic
1097C2×C4⋊C4C22×D8311yescharacteristic
1098C2×C22⋊C4—42no—
1099C2×C22⋊C4—42no—
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—838no—
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—831no—
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×C42—831no—
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#95—831no—
1207#95—831no—
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—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—831no—
1225C24C2×C4×D8314yes—
1226C24C2×C4×D8314yes—
1227C24C23×D8311yescharacteristic
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—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—416no—
1245C2×D4—3321no—
1246C2×D4—3321no—
1247C2×D4—3321no—
1248C2×D4—3321no—
1249C2×D4—3321no—
1250C2×D4—3321no—
1251C2×D4—3321no—
1252C2×D4—3321no—
1253C2×D4—834no—
1254C2×D4—834no—
1255C2×D4—834no—
1256C2×D4—834no—
1257C2×D4—834no—
1258C2×D4—1662no—
1259C2×D4—1662no—
1260C2×D4C2×C4×D8314yes—
1261C2×D4C2×C4×D8314yes—
1262C2×D4C2×C4×D8314yes—
1263C2×D4C2×C4×D8314yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
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—3321no—
1300C22×C4—3321no—
1301C22×C4—834no—
1302C22×C4—834no—
1303C22×C4—834no—
1304C22×C4—834no—
1305C22×C4—834no—
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—831no—
1320C22×C4—831no—
1321C22×C4—1662no—
1322C22×C4—1662no—
1323C22×C4—1662no—
1324C22×C4—1662no—
1325C22×C4—1662no—
1326C22×C4C2×C4×D8314yes—
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—3321no—
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—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
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—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
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—3321no—
1391C22⋊C4—3321no—
1392C22⋊C4—3321no—
1393C22⋊C4—834no—
1394C22⋊C4—834no—
1395C22⋊C4—834no—
1396C22⋊C4—834no—
1397C22⋊C4—834no—
1398C22⋊C4—834no—
1399C22⋊C4—834no—
1400C22⋊C4—834no—
1401C22⋊C4—834no—
1402C22⋊C4—834no—
1403C22⋊C4—834no—
1404C22⋊C4—834no—
1405C22⋊C4—1662no—
1406C22⋊C4—1662no—
1407C42—41no—
1408C42—41no—
1409C42—3321no—
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—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—28no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—82no—
1459C23—82no—
1460C23—82no—
1461C23—82no—
1462C23—82no—
1463C23—82no—
1464C23—82no—
1465C23—82no—
1466C23—832no—
1467C23—1661no—
1468C23—1661no—
1469C23—1661no—
1470C23—1661no—
1471C23—1661no—
1472C23—1661no—
1473C23C22×C4×D8312yes—
1474C23C22×C4×D8312yes—
1475C23C22×C4×D8312yes—
1476C23C22×C4×D8312yes—
1477C23C22×C4×D8312yes—
1478C23#1458183712yes—
1479C23#1458183712yes—
1480C23C24×D8311yescharacteristic
1481Q8—3324no—
1482D4—28no—
1483D4—28no—
1484D4—44no—
1485D4—44no—
1486D4—3324no—
1487D4—3324no—
1488D4—3324no—
1489D4—3324no—
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—44no—
1519C2×C4—44no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—82no—
1523C2×C4—3324no—
1524C2×C4—3324no—
1525C2×C4—3324no—
1526C2×C4—3324no—
1527C2×C4—3324no—
1528C2×C4—832no—
1529C2×C4—832no—
1530C2×C4—832no—
1531C2×C4—832no—
1532C2×C4—832no—
1533C2×C4—832no—
1534C2×C4—832no—
1535C2×C4—6642no—
1536C2×C4—6642no—
1537C2×C4—6642no—
1538C2×C4—6642no—
1539C2×C4—6642no—
1540C2×C4—1661no—
1541C2×C4—1661no—
1542C2×C4—1661no—
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×C4#1458183712yes—
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—22no—
1598C22—22no—
1599C22—22no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—88no—
1617C22—88no—
1618C22—3321no—
1619C22—3321no—
1620C22—3321no—
1621C22—3321no—
1622C22—1662no—
1623C22—1662no—
1624C22—1662no—
1625C22#1912817414yes—
1626C22C23×C4×D8311yescharacteristic
1627C22C2×#1458183711yescharacteristic
1628C22C2×#1458183711yescharacteristic
1629C22C2×#1458183711yescharacteristic
1630C22#1912853611yescharacteristic
1631C22#1912853611yescharacteristic
1632C22#1912853711yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—3321no—
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—42no—
1663C2—3322no—
1664C2C2×#1912817411yescharacteristic
1665C2#2492066111yescharacteristic
1666C2C4×#1458183711yescharacteristic
1667C2#2492164111yescharacteristic
1668C2#2492178411yescharacteristic
1669C2#2492181011yescharacteristic
1670C2#2492200311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingD4×C22⋊C4×C83C2
socle, cosocleC23×C83C25
prime radicalC2×#19128345C2
hypercenterD4×C22⋊C4D83
hypocenterC83#34492
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ D4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. #24910626C2semidirect
3. #24910615C2semidirect
4. #24910613C2semidirect
5. #24910602C2semidirect
6. #24910572C2semidirect
7. #24910508C2semidirect
8. #24910498C2semidirect
9. #24910449C2semidirect
10. #24910442C2semidirect
11. #24910406C2semidirect
12. #24910401C2semidirect
13. #24910314C2semidirect
14. #24910308C2semidirect
15. #24910289C2semidirect
16. #24910272C2semidirect
17. #24910250C2semidirect
18. #24910222C2semidirect
19. #24910219C2semidirect
20. #24910165C2semidirect
21. #24910128C2semidirect
22. #24910121C2semidirect
23. #24910118C2semidirect
24. #24910105C2semidirect
25. #24910059C2semidirect
26. #24910050C2semidirect
27. #24910041C2semidirect
28. C4×#14581764C2semidirect
29. #24909903C2semidirect
30. C2×#19127589C2semidirect
31. D4×C22⋊C4×C83C2semidirect
33. #19128345C4semidirect
45. C2×C4×C22⋊D83C22semidirect
46. C2×C4×C22⋊D83C22semidirect
47. C2×(C22⋊D83)⋊C4C22semidirect
48. C2×(C22⋊D83)⋊C4C22semidirect
49. C2×#14581748C22semidirect
50. C2×#14581748C22semidirect
51. C22×Dic83⋊C4C22semidirect
56. C22×C4×Dic83C22semidirect
57. #19127605C22semidirect
58. #19127605C22semidirect
59. #19127605C22semidirect
60. #19127605C22semidirect
63. #19127601C22semidirect
64. #19127601C22semidirect
65. #19127601C22semidirect
66. #19127601C22semidirect
67. #19127596C22semidirect
68. #19127596C22semidirect
69. #19127596C22semidirect
70. #19127596C22semidirect
75. #19127595C22semidirect
76. #19127595C22semidirect
77. #19127595C22semidirect
78. #19127595C22semidirect
79. #19127595C22semidirect
80. #19127595C22semidirect
81. #19127595C22semidirect
82. #19127595C22semidirect
83. #19127591C22semidirect
84. #19127591C22semidirect
93. #19127589C22semidirect
94. #19127589C22semidirect
95. #19127589C22semidirect
96. #19127589C22semidirect
97. #19127589C22semidirect
98. #19127589C22semidirect
99. #19127589C22semidirect
100. #19127589C22semidirect
101. #19127586C22semidirect
102. #19127586C22semidirect
103. #19127585C22semidirect
104. #19127585C22semidirect
105. #19127585C22semidirect
106. #19127585C22semidirect
107. #19127584C22semidirect
108. #19127584C22semidirect
109. #19127582C22semidirect
110. #19127582C22semidirect
119. #19127580C22semidirect
120. #19127580C22semidirect
121. #19127578C22semidirect
122. #19127578C22semidirect
125. #19127577C22semidirect
126. #19127577C22semidirect
127. #19127577C22semidirect
128. #19127577C22semidirect
129. #19127574C22semidirect
130. #19127574C22semidirect
131. #19127574C22semidirect
132. #19127574C22semidirect
133. #19127573C22semidirect
134. #19127573C22semidirect
135. #19127573C22semidirect
136. #19127573C22semidirect
137. #19127568C22semidirect
140. #19127563C22semidirect
141. #19127562C22semidirect
142. #19127562C22semidirect
143. #19127560C22semidirect
144. #19127560C22semidirect
145. #19127559C22semidirect
146. #19127559C22semidirect
147. #19127559C22semidirect
148. #19127559C22semidirect
151. C4×Dic83⋊C4C22semidirect
152. C4×Dic83⋊C4C22semidirect
153. #19127552C22semidirect
154. C22⋊C4×Dic83C22semidirect
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. C22⋊C4×Dic83C22semidirect
162. C4×(C2×D83)⋊C4C22semidirect
163. C4×(C2×D83)⋊C4C22semidirect
164. C4×C22⋊Dic83C22semidirect
165. C4×C22⋊Dic83C22semidirect
166. C4×C22⋊Dic83C22semidirect
167. C4×C22⋊Dic83C22semidirect
168. #19127546C22semidirect
169. #19127546C22semidirect
170. C2×C83⋊#95C22semidirect
171. C2×C83⋊#95C22semidirect
172. #95×D83C22semidirect
190. C2×#13050589C2×C4semidirect
208. #14581779C2×C4semidirect
209. #14581773C2×C4semidirect
210. #14581773C2×C4semidirect
211. #14581771C2×C4semidirect
212. #14581764C2×C4semidirect
213. #14581764C2×C4semidirect
214. #14581763C2×C4semidirect
215. #14581761C2×C4semidirect
216. #14581761C2×C4semidirect
217. D4×Dic83C2×C4semidirect
220. C4×C22⋊D83C2×C4semidirect
246. C2×C22⋊Dic83C2×C4semidirect
247. C2×C22⋊Dic83C2×C4semidirect
338. C22×D4×C83C2×C4semidirect
851. D4×C22⋊C4D83semidirect
867. C83#34492semidirect
1037. C22×D4C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283452
#249106262
#249106152
#249106132
#249106022
#249105722
#249105082
#249104982
#249104492
#249104422
#249104062
#249104012
#249103142
#249103082
#249102892
#249102722
#249102502
#249102222
#249102192
#249101652
#249101282
#249101212
#249101182
#249101052
#249100592
#249100502
#249100412
C4×#145817642
#249099032
C2×#191275892
D4×C22⋊C4×C832
#3449283