Finite Group Databasebeta

← #35612299

Subgroups — #35612299

Order 21248.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915807C211yesmaximal, characteristic, complemented
2#24915768C211yesmaximal, characteristic, complemented
3#24915391C211yesmaximal, characteristic, complemented
4#24915389C211yesmaximal, characteristic, complemented
5#24915324C211yesmaximal, characteristic, complemented
6#24915317C211yesmaximal, characteristic, complemented
7#24915274C211yesmaximal, characteristic, complemented
8#24915270C211yesmaximal, characteristic, complemented
9#24914744C211yesmaximal, characteristic, complemented
10#24914740C211yesmaximal, characteristic, complemented
11#24914732C211yesmaximal, characteristic, complemented
12#24914729C211yesmaximal, characteristic, complemented
13#24914216C211yesmaximal, characteristic, complemented
14#24914078C211yesmaximal, characteristic, complemented
15#24914077C211yesmaximal, characteristic, complemented
16#24913736C211yesmaximal, characteristic, complemented
17#24913725C211yesmaximal, characteristic, complemented
18#24913202C211yesmaximal, characteristic, complemented
19#24913202C211yesmaximal, characteristic, complemented
20#24911218C211yesmaximal, characteristic, complemented
21#24911206C211yesmaximal, characteristic, complemented
22#24911201C211yesmaximal, characteristic, complemented
23#24911197C211yesmaximal, characteristic, complemented
24#24911006C211yesmaximal, characteristic, complemented
25#24911000C211yesmaximal, characteristic, complemented
26#24910996C211yesmaximal, characteristic, complemented
27#24910994C211yesmaximal, characteristic, complemented
28#24910167C211yesmaximal, characteristic, complemented
29#24910160C211yesmaximal, characteristic, complemented
30#388×D83C211yesmaximal, characteristic, complemented
31C83×#2711C211yesmaximal, characteristic, complemented
32C2×#14581788C2211yescharacteristic, complemented
33C2×#14581775C2211yescharacteristic, complemented
34C2×#14581774C2211yescharacteristic, complemented
35C2×#14581767C2211yescharacteristic
36C2×#14581767C2211yescharacteristic
37C2×#14581765C2211yescharacteristic
38C2×#14581765C2211yescharacteristic
39C2×#14581765C2211yescharacteristic
40C2×#14581765C2211yescharacteristic
41C2×#14581765C2211yescharacteristic
42C2×#14581764C2211yescharacteristic
43C2×#14581763C2211yescharacteristic
44C2×#14581762C2211yescharacteristic
45C2×#14581762C2211yescharacteristic
46C2×#14581760C2211yescharacteristic
47C2×#14581760C2211yescharacteristic
48C2×C4×D332C2211yescharacteristic
49C2×#14581754C2211yescharacteristic
50C2×C4×C22⋊D83C2211yescharacteristic
51C2×(C22⋊D83)⋊C4C2211yescharacteristic
52C2×C4⋊C4×D83C2211yescharacteristic
53C2×C22⋊C4×D83C2211yescharacteristic
54C2×C22⋊C4×D83C2211yescharacteristic
55C2×C22⋊C4×D83C2211yescharacteristic
56C2×C42×D83C2211yescharacteristic
57#19127643C2211yescharacteristic, complemented
58#19127640C2211yescharacteristic, complemented
59#19127636C2211yescharacteristic, complemented
60#19127635C2211yescharacteristic, complemented
61#19127632C2211yescharacteristic, complemented
62#19127630C2211yescharacteristic
63#19127630C2211yescharacteristic
64#19127630C2211yescharacteristic, complemented
65#19127629C2211yescharacteristic
66#19127629C2211yescharacteristic
67#19127629C2211yescharacteristic, complemented
68#19127629C2211yescharacteristic, complemented
69#19127629C2211yescharacteristic, complemented
70#19127628C2211yescharacteristic, complemented
71#19127627C2211yescharacteristic, complemented
72#19127625C2211yescharacteristic
73#19127624C2211yescharacteristic
74#19127623C2211yescharacteristic
75#19127619C2211yescharacteristic
76#19127618C2211yescharacteristic
77#19127618C2211yescharacteristic
78#19127618C2211yescharacteristic
79#19127618C2211yescharacteristic
80#19127618C2211yescharacteristic, complemented
81#19127617C2211yescharacteristic
82#19127617C2211yescharacteristic
83#19127617C2211yescharacteristic
84#19127617C2211yescharacteristic
85#19127617C2211yescharacteristic
86#19127617C2211yescharacteristic, complemented
87#19127616C2211yescharacteristic
88#19127616C2211yescharacteristic, complemented
89#19127615C2211yescharacteristic
90#19127615C2211yescharacteristic
91#19127610C2211yescharacteristic
92#19127610C2211yescharacteristic
93#19127610C2211yescharacteristic
94#19127610C2211yescharacteristic
95#19127609C2211yescharacteristic
96#19127609C2211yescharacteristic
97#19127609C2211yescharacteristic
98#19127609C2211yescharacteristic
99#19127603C2211yescharacteristic, complemented
100#19127602C2211yescharacteristic
101#19127601C2211yescharacteristic
102#19127601C2211yescharacteristic
103#19127601C2211yescharacteristic, complemented
104#19127601C2211yescharacteristic, complemented
105#19127601C2211yescharacteristic, complemented
106#19127601C2211yescharacteristic, complemented
107#19127597C2211yescharacteristic, complemented
108#19127597C2211yescharacteristic, complemented
109#19127595C2211yescharacteristic
110#19127595C2211yescharacteristic, complemented
111#19127594C2211yescharacteristic
112#19127594C2211yescharacteristic
113#19127594C2211yescharacteristic, complemented
114#19127593C2211yescharacteristic
115#19127593C2211yescharacteristic, complemented
116#19127592C2211yescharacteristic
117#19127592C2211yescharacteristic
118#19127592C2211yescharacteristic, complemented
119#19127591C2211yescharacteristic
120#19127591C2211yescharacteristic
121#19127591C2211yescharacteristic, complemented
122#19127591C2211yescharacteristic, complemented
123#19127590C2211yescharacteristic
124#19127589C2211yescharacteristic
125#19127589C2211yescharacteristic
126#19127589C2211yescharacteristic, complemented
127#19127588C2211yescharacteristic, complemented
128#19127587C2211yescharacteristic, complemented
129#19127586C2211yescharacteristic, complemented
130#19127585C2211yescharacteristic, complemented
131#19127583C2211yescharacteristic, complemented
132#19127583C2211yescharacteristic, complemented
133#19127582C2211yescharacteristic, complemented
134#19127582C2211yescharacteristic, complemented
135#19127582C2211yescharacteristic, complemented
136#19127582C2211yescharacteristic, complemented
137#19127582C2211yescharacteristic, complemented
138#19127581C2211yescharacteristic, complemented
139#19127580C2211yescharacteristic
140#19127580C2211yescharacteristic, complemented
141#19127579C2211yescharacteristic
142#19127579C2211yescharacteristic
143#19127579C2211yescharacteristic
144#19127579C2211yescharacteristic
145#19127579C2211yescharacteristic, complemented
146#19127578C2211yescharacteristic
147#19127578C2211yescharacteristic, complemented
148#19127577C2211yescharacteristic
149#19127577C2211yescharacteristic
150#19127577C2211yescharacteristic
151#19127577C2211yescharacteristic
152#19127577C2211yescharacteristic
153#19127577C2211yescharacteristic
154#19127577C2211yescharacteristic, complemented
155#19127577C2211yescharacteristic, complemented
156#19127576C2211yescharacteristic, complemented
157#19127575C2211yescharacteristic, complemented
158#19127572C2211yescharacteristic
159#19127572C2211yescharacteristic
160#19127572C2211yescharacteristic
161#19127572C2211yescharacteristic
162#19127572C2211yescharacteristic, complemented
163#19127572C2211yescharacteristic, complemented
164#19127570C2211yescharacteristic, complemented
165#19127567C2211yescharacteristic, complemented
166#19127563C2211yescharacteristic, complemented
167#19127562C2211yescharacteristic, complemented
168#19127558C2211yescharacteristic
169#19127558C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172C2×#125×C83C2211yescharacteristic, complemented
173C2×#121×C83C2211yescharacteristic
174#399×C83C2211yescharacteristic, complemented
175#396×C83C2211yescharacteristic
176#394×C83C2211yescharacteristic
177#394×C83C2211yescharacteristic
178#394×C83C2211yescharacteristic
179#394×C83C2211yescharacteristic, complemented
180#390×C83C2211yescharacteristic
181#390×C83C2211yescharacteristic, complemented
182#388×C83C2211yescharacteristic
183#388×C83C2211yescharacteristic, complemented
184#387×C83C2211yescharacteristic, complemented
185#385×C83C2211yescharacteristic, complemented
186#385×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C22×D332C2311yescharacteristic
189C22×D332C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212#14581788—42no—
213#14581775—42no—
214#14581774—42no—
215#14581767—42no—
216#14581767—42no—
217#14581765—24no—
218#14581765—24no—
219#14581765—42no—
220#14581765—42no—
221#14581765—42no—
222#14581764—42no—
223#14581763—42no—
224#14581762—42no—
225#14581762—42no—
226#14581760—42no—
227#14581760—42no—
228C4×D332—42no—
229#14581754—42no—
230C4×C22⋊D83—42no—
231(C22⋊D83)⋊C4—42no—
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×C4⋊Dic83C2311yescharacteristic
235C2×C4⋊Dic83C2311yescharacteristic
236C2×C4⋊Dic83C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
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
249C4⋊C4×D83—42no—
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×(C2×D83)⋊C4C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
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
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C22⋊C4×D83—24no—
293C22⋊C4×D83—42no—
294C22⋊C4×D83—42no—
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C2×C4×Dic83C2311yescharacteristic
299C2×C4×Dic83C2311yescharacteristic
300C2×C4×Dic83C2311yescharacteristic
301C42×D83—42no—
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
332C22×D4×C83C2311yescharacteristic
333C22×D4×C83C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C23×C4×C83C2311yescharacteristic
336#125×C83—42no—
337#121×C83—42no—
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C4⋊C4×C83C2311yescharacteristic
340C2×C4⋊C4×C83C2311yescharacteristic
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C4⋊C4×C83C2311yescharacteristic
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
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×C42×C83C2311yescharacteristic
362C2×C42×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369C23×D83—22no—
370C23×D83—22no—
371C23×D83—22no—
372C23×D83—41no—
373C23×D83—41no—
374C23×D83—41no—
375C23×D83—41no—
376C23×D83C2411yescharacteristic
377C23×D83C2411yescharacteristic
378C23×D83C2411yescharacteristic
379C23×D83C2411yescharacteristic
380C2×D332—22no—
381C2×D332—22no—
382C2×D332—22no—
383C2×D332—22no—
384C2×D332—22no—
385C2×D332—22no—
386C2×D332—22no—
387C2×D332—41no—
388C2×D332—41no—
389C2×D332—41no—
390C2×D332—41no—
391C2×D332—41no—
392C2×D332—41no—
393C2×D332—41no—
394C2×D332—41no—
395C2×C22⋊D83—22no—
396C2×C22⋊D83—22no—
397C2×C22⋊D83—22no—
398C2×C22⋊D83—22no—
399C2×C22⋊D83—22no—
400C2×C22⋊D83—22no—
401C2×C22⋊D83—22no—
402C2×C22⋊D83—22no—
403C2×C22⋊D83—22no—
404C2×C22⋊D83—22no—
405C2×C22⋊D83—41no—
406C2×C22⋊D83—41no—
407C2×C22⋊D83—41no—
408C2×C22⋊D83—41no—
409C2×C22⋊D83—41no—
410C2×C22⋊D83—41no—
411C2×C22⋊D83—41no—
412C2×C22⋊D83—41no—
413C2×C22⋊D83—41no—
414C2×C22⋊D83—41no—
415C2×C22⋊D83—41no—
416C2×C22⋊D83—41no—
417C2×C22⋊D83—41no—
418C2×C22⋊D83—41no—
419C2×C22⋊D83—41no—
420C2×C22⋊D83—41no—
421C2×C22⋊D83—41no—
422C2×C22⋊D83—41no—
423C2×C22⋊D83—41no—
424C2×C22⋊D83—41no—
425C22×Dic83—41no—
426C22×Dic83—41no—
427C22×Dic83—41no—
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
431C22×Dic83C2411yescharacteristic
432C22×Dic83C2411yescharacteristic
433C22×Dic83C2411yescharacteristic
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
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—41no—
448C2×C4×D83—41no—
449C2×C4×D83—41no—
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×D83—41no—
460C2×C4×D83—41no—
461C2×C4×D83—41no—
462C2×C4×D83—41no—
463C2×C4×D83#4114yes—
464C4⋊Dic83—22no—
465C4⋊Dic83—41no—
466C4⋊Dic83—41no—
467C4⋊Dic83—41no—
468C4⋊Dic83—41no—
469Dic83⋊C4—22no—
470Dic83⋊C4—22no—
471Dic83⋊C4—22no—
472Dic83⋊C4—22no—
473Dic83⋊C4—22no—
474Dic83⋊C4—41no—
475Dic83⋊C4—41no—
476Dic83⋊C4—41no—
477Dic83⋊C4—41no—
478Dic83⋊C4—41no—
479Dic83⋊C4—41no—
480Dic83⋊C4—41no—
481C22⋊Dic83—22no—
482C22⋊Dic83—22no—
483C22⋊Dic83—41no—
484C22⋊Dic83—41no—
485C22⋊Dic83—41no—
486C22⋊Dic83—41no—
487C22⋊Dic83—41no—
488C22⋊Dic83—41no—
489C22⋊Dic83—41no—
490C22⋊Dic83—41no—
491C22⋊Dic83—41no—
492C22⋊Dic83—41no—
493(C2×D83)⋊C4—22no—
494(C2×D83)⋊C4—22no—
495(C2×D83)⋊C4—22no—
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—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊C4—41no—
509(C2×D83)⋊C4—41no—
510(C2×D83)⋊C4—41no—
511(C2×D83)⋊C4—41no—
512(C2×D83)⋊C4—41no—
513(C2×D83)⋊C4—41no—
514(C2×D83)⋊C4—41no—
515(C2×D83)⋊C4—41no—
516(C2×D83)⋊C4—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4—41no—
521(C2×D83)⋊C4—41no—
522(C2×D83)⋊C4—41no—
523C4×Dic83—22no—
524C4×Dic83—41no—
525C4×Dic83—41no—
526C4×Dic83—41no—
527C4×Dic83—41no—
528C4×Dic83—41no—
529C24×C83C2411yescharacteristic
530C24×C83C2411yescharacteristic
531C24×C83C2411yescharacteristic
532C2×D4×C83—22no—
533C2×D4×C83—41no—
534C2×D4×C83—41no—
535C2×D4×C83—41no—
536C2×D4×C83—41no—
537C2×D4×C83—41no—
538C2×D4×C83—41no—
539C2×D4×C83—41no—
540C2×D4×C83—41no—
541C22×C4×C83—41no—
542C22×C4×C83—41no—
543C22×C4×C83—41no—
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C22×C4×C83C2411yescharacteristic
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C4⋊C4×C83—22no—
557C4⋊C4×C83—22no—
558C4⋊C4×C83—41no—
559C4⋊C4×C83—41no—
560C4⋊C4×C83—41no—
561C4⋊C4×C83—41no—
562C4⋊C4×C83—41no—
563C4⋊C4×C83—41no—
564C4⋊C4×C83—41no—
565C22⋊C4×C83—22no—
566C22⋊C4×C83—22no—
567C22⋊C4×C83—22no—
568C22⋊C4×C83—22no—
569C22⋊C4×C83—41no—
570C22⋊C4×C83—41no—
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—
579C42×C83—22no—
580C42×C83—41no—
581C23×C83—21no—
582C23×C83—21no—
583C23×C83—21no—
584C23×C83—21no—
585C23×C83—21no—
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×C83—21no—
600C23×C83—21no—
601C23×C83—21no—
602C23×C83C2511yescharacteristic
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
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—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—21no—
623C22×D83—21no—
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×D83—44no—
629C22×D83—44no—
630C22×D83—44no—
631C22×D83—82no—
632C22×D83—82no—
633C22×D83—82no—
634C22×D83—82no—
635C22×D83C2×#4112yes—
636C22×D83H(5,𝔽2)12yes—
637C22×D83H(5,𝔽2)12yes—
638D4×C83—82no—
639D4×C83—82no—
640D4×C83—82no—
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×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—82no—
676C2×C4×C83C2×#4112yes—
677C2×C4×C83H(5,𝔽2)12yes—
678C22⋊D83—44no—
679C22⋊D83—44no—
680C22⋊D83—82no—
681C22⋊D83—82no—
682C22⋊D83—82no—
683C22⋊D83—82no—
684C22⋊D83—82no—
685C22⋊D83—82no—
686C22⋊D83—82no—
687C22⋊D83—82no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—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—82no—
723C2×Dic83C2×#4112yes—
724C2×Dic83H(5,𝔽2)12yes—
725D332—44no—
726D332—44no—
727D332—82no—
728D332—82no—
729D332—82no—
730C4×D83—44no—
731C4×D83—44no—
732C4×D83—44no—
733C4×D83—44no—
734C4×D83—82no—
735C4×D83—82no—
736C4×D83—82no—
737C4×D83—82no—
738C22×C83—41no—
739C22×C83—41no—
740C22×C83—41no—
741C22×C83—41no—
742C22×C83—41no—
743C22×C83—41no—
744C22×C83—41no—
745C22×C83—41no—
746C22×C83—41no—
747C22×C83—41no—
748C22×C83—41no—
749C22×C83—41no—
750C22×C83—41no—
751C22×C83—41no—
752C22×C83—41no—
753C22×C83—41no—
754C22×C83—41no—
755C22×C83—41no—
756C22×C83—41no—
757C22×C83—41no—
758C22×C83—41no—
759C22×C83C22×#4111yescharacteristic
760C22×C83C2×H(5,𝔽2)11yescharacteristic
761C22×C83C2×H(5,𝔽2)11yescharacteristic
762C22×C83C2×H(5,𝔽2)11yescharacteristic
763C22×C83C2×H(5,𝔽2)11yescharacteristic
764C22×C83#58511yescharacteristic
765C22×C83#58511yescharacteristic
766C2×D83—22no—
767C2×D83—22no—
768C2×D83—22no—
769C2×D83—22no—
770C2×D83—22no—
771C2×D83—22no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83—41no—
775C2×D83—41no—
776C2×D83—41no—
777C2×D83—41no—
778C2×D83—41no—
779C2×D83—41no—
780C2×D83—41no—
781C2×D83—41no—
782C2×D83—41no—
783C2×D83—41no—
784C2×D83—41no—
785C2×D83—41no—
786C2×D83—41no—
787C2×D83—41no—
788C2×D83—41no—
789C2×D83—41no—
790C2×D83—41no—
791C2×D83—41no—
792C2×D83—41no—
793C2×D83—88no—
794C2×D83#54014yes—
795C4×C83—22no—
796C4×C83—22no—
797C4×C83—41no—
798C4×C83—41no—
799C4×C83—41no—
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—41no—
810Dic83—41no—
811Dic83—41no—
812Dic83—41no—
813Dic83—41no—
814Dic83—41no—
815Dic83—41no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819#36759—831nomaximal, Sylow
820C2×C83—81no—
821C2×C83—81no—
822C2×C83—81no—
823C2×C83C2×#54011yescharacteristic
824C2×C83#350511yescharacteristic
825C2×C83#350611yescharacteristic
826C2×C83#353411yescharacteristic
827C2×C83#353711yescharacteristic
828C2×C83#355811yescharacteristic
829C2×C83#356011yescharacteristic
830D83—24no—
831D83—81no—
832D83—81no—
833D83—81no—
834#2856—831no—
835#2851—831no—
836#2803—831no—
837#2803—831no—
838#2797—831no—
839#2797—831no—
840#2793—831no—
841#2793—831no—
842#2753—831no—
843#2753—831no—
844#2752—831no—
845#2752—831no—
846#2711—831no—
847#2711D8311yescharacteristic, complemented
848#2701—831no—
849#2701—831no—
850#2673—831no—
851#2673—831no—
852#2617—831no—
853#2617—831no—
854#2444—831no—
855#2444—831no—
856#2443—831no—
857#2443—831no—
858#2424—831no—
859#2424—831no—
860#2424—831no—
861#2424—831no—
862#2325—831no—
863#2325—831no—
864C2×#388—831no—
865C83#3675911yescharacteristic, complemented, Sylow
866C2×#127—831no—
867C2×#125C2×D8311yescharacteristic, complemented
868C2×#123—831no—
869C2×#123—831no—
870C2×#121—831no—
871C2×#121—831no—
872C2×#121—831no—
873C2×#121—831no—
874C2×#121—831no—
875C2×#121—831no—
876C2×#121—831no—
877C2×#121—831no—
878C2×#121—831no—
879C2×#121C2×D8311yescharacteristic
880C2×#120—831no—
881C2×#120—831no—
882C2×#120—831no—
883C2×#120—831no—
884C2×C4×D4—831no—
885C2×C4×D4—831no—
886C2×C4×D4—831no—
887C2×C4×D4—831no—
888C22×C4⋊C4—831no—
889C22×C22⋊C4—831no—
890C22×C22⋊C4—831no—
891C22×C22⋊C4—831no—
892C22×C42—831no—
893#400—831no—
894#400—831no—
895#399—831no—
896#399C2×D8311yescharacteristic, complemented
897#398—831no—
898#398—831no—
899#397—831no—
900#397—831no—
901#397—831no—
902#397—831no—
903#397—831no—
904#397—831no—
905#397—831no—
906#397—831no—
907#397—831no—
908#397—831no—
909#396—831no—
910#396—831no—
911#396—831no—
912#396C2×D8311yescharacteristic
913#394—831no—
914#394—831no—
915#394—831no—
916#394—831no—
917#394—831no—
918#394—831no—
919#394—831no—
920#394—831no—
921#394—831no—
922#394—831no—
923#394—831no—
924#394—831no—
925#394—831no—
926#394—831no—
927#394—831no—
928#394—831no—
929#394C2×D8311yescharacteristic
930#394C2×D8311yescharacteristic
931#394C2×D8311yescharacteristic
932#394C2×D8311yescharacteristic, complemented
933#392—831no—
934#392—831no—
935#392—831no—
936#392—831no—
937#392—831no—
938#392—831no—
939#392—831no—
940#392—831no—
941#390—831no—
942#390—831no—
943#390—831no—
944#390—831no—
945#390—831no—
946#390—831no—
947#390—831no—
948#390—831no—
949#390C2×D8311yescharacteristic
950#390C2×D8311yescharacteristic, complemented
951#389—831no—
952#389—831no—
953#388—831no—
954#388—831no—
955#388—831no—
956#388—831no—
957#388—831no—
958#388—831no—
959#388—831no—
960#388—831no—
961#388—831no—
962#388—831no—
963#388—831no—
964#388—831no—
965#388—831no—
966#388—831no—
967#388—831no—
968#388—831no—
969#388—831no—
970#388—831no—
971#388C2×D8311yescharacteristic
972#388C2×D8311yescharacteristic, complemented
973#387—831no—
974#387—831no—
975#387—831no—
976#387—831no—
977#387—831no—
978#387—831no—
979#387—831no—
980#387—831no—
981#387—831no—
982#387—831no—
983#387—831no—
984#387C2×D8311yescharacteristic, complemented
985#386—831no—
986#386—831no—
987#386—831no—
988#386—831no—
989#386—831no—
990#386—831no—
991#386—831no—
992#386—831no—
993#386—831no—
994#386—831no—
995#386—831no—
996#386—831no—
997#386—831no—
998#386—831no—
999#386—831no—
1000#386—831no—
1001#386—831no—
1002#386—831no—
1003#385—831no—
1004#385—831no—
1005#385—831no—
1006#385—831no—
1007#385—831no—
1008#385—831no—
1009#385—831no—
1010#385—831no—
1011#385C2×D8311yescharacteristic, complemented
1012#385C2×D8311yescharacteristic, complemented
1013#384—831no—
1014#382—831no—
1015#381—831no—
1016#381—831no—
1017#380—831no—
1018#380—831no—
1019C2×#95—831no—
1020C2×#95—831no—
1021C25—831no—
1022C22×D4—831no—
1023C22×D4—831no—
1024C22×D4—831no—
1025C22×D4—831no—
1026C22×D4—831no—
1027C22×D4—831no—
1028C22×D4—831no—
1029C22×D4—831no—
1030C22×D4—831no—
1031C22×D4—831no—
1032C22×D4—831no—
1033C22×D4—831no—
1034C22×D4—831no—
1035C22×D4—831no—
1036C22×D4—831no—
1037C22×D4C22×D8311yescharacteristic
1038C22×D4C22×D8311yescharacteristic
1039C22×D4C22×D8311yescharacteristic
1040C23×C4—831no—
1041C23×C4—831no—
1042C23×C4—831no—
1043C23×C4—831no—
1044C23×C4—831no—
1045C23×C4—831no—
1046C23×C4—831no—
1047C23×C4—831no—
1048C23×C4—831no—
1049C23×C4C22×D8311yescharacteristic
1050#127—3322no—
1051#125—42no—
1052#123—3322no—
1053#123—3322no—
1054#121—42no—
1055#121—3322no—
1056#121—3322no—
1057#121—3322no—
1058#121—3322no—
1059#121—3322no—
1060#121—3322no—
1061#121—3322no—
1062#121—1664no—
1063#121—1664no—
1064#120—3322no—
1065#120—3322no—
1066#120—3322no—
1067#120—3322no—
1068C4×D4—3322no—
1069C4×D4—3322no—
1070C4×D4—3322no—
1071C4×D4—3322no—
1072C2×C4⋊C4—3322no—
1073C2×C4⋊C4—831no—
1074C2×C4⋊C4—831no—
1075C2×C4⋊C4—831no—
1076C2×C4⋊C4—831no—
1077C2×C4⋊C4—831no—
1078C2×C4⋊C4—831no—
1079C2×C4⋊C4—831no—
1080C2×C4⋊C4—831no—
1081C2×C4⋊C4—831no—
1082C2×C4⋊C4—831no—
1083C2×C4⋊C4—831no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4—831no—
1089C2×C4⋊C4—831no—
1090C2×C4⋊C4C22×D8311yescharacteristic
1091C2×C4⋊C4C22×D8311yescharacteristic
1092C2×C4⋊C4C22×D8311yescharacteristic
1093C2×C4⋊C4C22×D8311yescharacteristic
1094C2×C4⋊C4C22×D8311yescharacteristic
1095C2×C4⋊C4C22×D8311yescharacteristic
1096C2×C4⋊C4C22×D8311yescharacteristic
1097C2×C4⋊C4C22×D8311yescharacteristic
1098C2×C4⋊C4C22×D8311yescharacteristic
1099C2×C22⋊C4—3322no—
1100C2×C22⋊C4—3322no—
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—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⋊C4—831no—
1139C2×C22⋊C4—831no—
1140C2×C22⋊C4—831no—
1141C2×C22⋊C4—831no—
1142C2×C22⋊C4—831no—
1143C2×C22⋊C4—1664no—
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×C22⋊C4C22×D8311yescharacteristic
1155C2×C22⋊C4C22×D8311yescharacteristic
1156C2×C22⋊C4C22×D8311yescharacteristic
1157C2×C22⋊C4C22×D8311yescharacteristic
1158C2×C42—3322no—
1159C2×C42—831no—
1160C2×C42—831no—
1161C2×C42—831no—
1162C2×C42—831no—
1163C2×C42—831no—
1164C2×C42—831no—
1165C2×C42C22×D8311yescharacteristic
1166C2×C42C22×D8311yescharacteristic
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95C22×D8311yescharacteristic
1198#95C22×D8311yescharacteristic
1199#95C22×D8311yescharacteristic
1200#95C22×D8311yescharacteristic
1201#95C22×D8311yescharacteristic
1202#95C22×D8311yescharacteristic
1203C24—3321no—
1204C24—3321no—
1205C24—3321no—
1206C24—3321no—
1207C24—831no—
1208C24—831no—
1209C24—831no—
1210C24—831no—
1211C24—1662no—
1212C24—1662no—
1213C24—1662no—
1214C24C23×D8311yescharacteristic
1215C24C23×D8311yescharacteristic
1216C24C23×D8311yescharacteristic
1217C2×D4—22no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—3321no—
1227C2×D4—3321no—
1228C2×D4—3321no—
1229C2×D4—3321no—
1230C2×D4—3321no—
1231C2×D4—3321no—
1232C2×D4—3321no—
1233C2×D4—3321no—
1234C2×D4—3321no—
1235C2×D4—3321no—
1236C2×D4—3321no—
1237C2×D4—3321no—
1238C2×D4—3321no—
1239C2×D4—3321no—
1240C2×D4—3321no—
1241C2×D4—3321no—
1242C2×D4—3321no—
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—3321no—
1252C2×D4—3321no—
1253C2×D4—3321no—
1254C2×D4—1662no—
1255C2×D4—1662no—
1256C2×D4—1662no—
1257C2×D4—1662no—
1258C2×D4—1662no—
1259C2×D4—1662no—
1260C2×D4—1662no—
1261C2×D4—1662no—
1262C2×D4—1662no—
1263C2×D4—1662no—
1264C2×D4—1662no—
1265C2×D4—1662no—
1266C2×D4—1662no—
1267C2×D4—1662no—
1268C2×D4—1662no—
1269C2×D4—1662no—
1270C2×D4—1662no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
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—834no—
1294C22×C4—831no—
1295C22×C4—831no—
1296C22×C4—831no—
1297C22×C4—831no—
1298C22×C4—831no—
1299C22×C4—831no—
1300C22×C4—831no—
1301C22×C4—831no—
1302C22×C4—831no—
1303C22×C4—831no—
1304C22×C4—831no—
1305C22×C4—831no—
1306C22×C4—1662no—
1307C22×C4—1662no—
1308C22×C4—1662no—
1309C22×C4—1662no—
1310C22×C4—1662no—
1311C22×C4—1662no—
1312C22×C4—1662no—
1313C22×C4C23×D8311yescharacteristic
1314C22×C4C23×D8311yescharacteristic
1315C22×C4C23×D8311yescharacteristic
1316C22×C4C23×D8311yescharacteristic
1317C22×C4C23×D8311yescharacteristic
1318C22×C4C23×D8311yescharacteristic
1319C22×C4C23×D8311yescharacteristic
1320C22×C4C23×D8311yescharacteristic
1321C22×C4C23×D8311yescharacteristic
1322C22×C4C23×D8311yescharacteristic
1323C22×C4C23×D8311yescharacteristic
1324C22×C4C23×D8311yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—3321no—
1335C4⋊C4—3321no—
1336C4⋊C4—3321no—
1337C4⋊C4—3321no—
1338C4⋊C4—3321no—
1339C4⋊C4—3321no—
1340C4⋊C4—3321no—
1341C4⋊C4—3321no—
1342C4⋊C4—3321no—
1343C4⋊C4—3321no—
1344C4⋊C4—3321no—
1345C4⋊C4—1662no—
1346C4⋊C4—1662no—
1347C4⋊C4—1662no—
1348C4⋊C4—1662no—
1349C4⋊C4—1662no—
1350C4⋊C4—1662no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—3321no—
1366C22⋊C4—3321no—
1367C22⋊C4—3321no—
1368C22⋊C4—3321no—
1369C22⋊C4—3321no—
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—3321no—
1391C22⋊C4—3321no—
1392C22⋊C4—3321no—
1393C22⋊C4—3321no—
1394C22⋊C4—3321no—
1395C22⋊C4—1662no—
1396C22⋊C4—1662no—
1397C22⋊C4—1662no—
1398C22⋊C4—1662no—
1399C22⋊C4—1662no—
1400C22⋊C4—1662no—
1401C22⋊C4—1662no—
1402C22⋊C4—1662no—
1403C22⋊C4—1662no—
1404C22⋊C4—1662no—
1405C22⋊C4—1662no—
1406C22⋊C4—1662no—
1407C42—22no—
1408C42—41no—
1409C42—3321no—
1410C42—3321no—
1411C42—3321no—
1412C42—3321no—
1413C42—3321no—
1414C42—1662no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
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—3324no—
1437C23—3324no—
1438C23—3324no—
1439C23—832no—
1440C23—832no—
1441C23—832no—
1442C23—6642no—
1443C23—6642no—
1444C23—6642no—
1445C23—6642no—
1446C23—1661no—
1447C23—1661no—
1448C23—1661no—
1449C23—1661no—
1450C23—1661no—
1451C23—1661no—
1452C23—1661no—
1453C23—1661no—
1454C23—1661no—
1455C23—1661no—
1456C23—1661no—
1457C23—1661no—
1458C23—1661no—
1459C23—1661no—
1460C23—1661no—
1461C23—1661no—
1462C23—1661no—
1463C23—1661no—
1464C23—1661no—
1465C23—1661no—
1466C23—1661no—
1467C23—1661no—
1468C23—1661no—
1469C23—1661no—
1470C23—1661no—
1471C23C24×D8311yescharacteristic
1472D4—82no—
1473D4—82no—
1474D4—82no—
1475D4—3324no—
1476D4—3324no—
1477D4—3324no—
1478D4—3324no—
1479D4—6642no—
1480D4—6642no—
1481D4—6642no—
1482D4—6642no—
1483D4—6642no—
1484D4—6642no—
1485D4—6642no—
1486D4—6642no—
1487D4—6642no—
1488D4—6642no—
1489D4—6642no—
1490C2×C4—21no—
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—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—82no—
1525C2×C4—3324no—
1526C2×C4—3324no—
1527C2×C4—3324no—
1528C2×C4—3324no—
1529C2×C4—832no—
1530C2×C4—832no—
1531C2×C4—6642no—
1532C2×C4—6642no—
1533C2×C4—6642no—
1534C2×C4—6642no—
1535C2×C4—6642no—
1536C2×C4—1661no—
1537C2×C4—1661no—
1538C2×C4—1661no—
1539C2×C4—1661no—
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—1661no—
1565C2×C4—1661no—
1566C2×C4—1661no—
1567C2×C4—1661no—
1568C2×C4—1661no—
1569C2×C4—1661no—
1570C2×C4#41×D8312yes—
1571C2×C4#1458183712yes—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—3321no—
1594C22—3321no—
1595C22—3321no—
1596C22—3321no—
1597C22—3321no—
1598C22—3321no—
1599C22—3321no—
1600C22—3321no—
1601C22—3321no—
1602C22—3321no—
1603C22—3321no—
1604C22—3321no—
1605C22—3321no—
1606C22—3321no—
1607C22—3321no—
1608C22—3321no—
1609C22—3321no—
1610C22—3321no—
1611C22—3321no—
1612C22—3321no—
1613C22—3321no—
1614C22—834no—
1615C22—6648no—
1616C22—1662no—
1617C22—1662no—
1618C22—1662no—
1619C22—1662no—
1620C22—1662no—
1621C22—1662no—
1622C22C2×#41×D8311yescharacteristic
1623C22H(5,𝔽2)×D8311yescharacteristic
1624C22H(5,𝔽2)×D8311yescharacteristic
1625C22H(5,𝔽2)×D8311yescharacteristic
1626C22C2×#1458183711yescharacteristic
1627C22#1912853711yescharacteristic
1628C22#1912853811yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—3321no—
1642C4—3321no—
1643C4—3321no—
1644C4—3321no—
1645C4—3321no—
1646C4—3321no—
1647C4—3321no—
1648C4—3321no—
1649C4—3321no—
1650C4—3321no—
1651C4—1662no—
1652C4—1662no—
1653C2—81no—
1654C2—81no—
1655C2—81no—
1656C2—6641no—
1657C2—6641no—
1658C2—6641no—
1659C2—1664no—
1660C2#540×D8311yescharacteristic
1661C2#2492129911yescharacteristic
1662C2#2492130911yescharacteristic
1663C2#2492164511yescharacteristic
1664C2#2492169611yescharacteristic
1665C2#2492198511yescharacteristic
1666C2#2492201611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2711C2
hypercenter#2711D83
hypocenterC83#36759
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2711

Complements

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

NH ≅ G/Ntype
1. #24915807C2semidirect
2. #24915768C2semidirect
3. #24915391C2semidirect
4. #24915389C2semidirect
5. #24915324C2semidirect
6. #24915317C2semidirect
7. #24915274C2semidirect
8. #24915270C2semidirect
9. #24914744C2semidirect
10. #24914740C2semidirect
11. #24914732C2semidirect
12. #24914729C2semidirect
13. #24914216C2semidirect
14. #24914078C2semidirect
15. #24914077C2semidirect
16. #24913736C2semidirect
17. #24913725C2semidirect
18. #24913202C2semidirect
19. #24913202C2semidirect
20. #24911218C2semidirect
21. #24911206C2semidirect
22. #24911201C2semidirect
23. #24911197C2semidirect
24. #24911006C2semidirect
25. #24911000C2semidirect
26. #24910996C2semidirect
27. #24910994C2semidirect
28. #24910167C2semidirect
29. #24910160C2semidirect
30. #388×D83C2semidirect
31. C83×#2711C2semidirect
32. C2×#14581788C22semidirect
33. C2×#14581775C22semidirect
34. C2×#14581774C22semidirect
57. #19127643C22semidirect
58. #19127640C22semidirect
59. #19127636C22semidirect
60. #19127635C22semidirect
61. #19127632C22semidirect
64. #19127630C22semidirect
67. #19127629C22semidirect
68. #19127629C22semidirect
69. #19127629C22semidirect
70. #19127628C22semidirect
71. #19127627C22semidirect
80. #19127618C22semidirect
86. #19127617C22semidirect
88. #19127616C22semidirect
99. #19127603C22semidirect
103. #19127601C22semidirect
104. #19127601C22semidirect
105. #19127601C22semidirect
106. #19127601C22semidirect
107. #19127597C22semidirect
108. #19127597C22semidirect
110. #19127595C22semidirect
113. #19127594C22semidirect
115. #19127593C22semidirect
118. #19127592C22semidirect
121. #19127591C22semidirect
122. #19127591C22semidirect
126. #19127589C22semidirect
127. #19127588C22semidirect
128. #19127587C22semidirect
129. #19127586C22semidirect
130. #19127585C22semidirect
131. #19127583C22semidirect
132. #19127583C22semidirect
133. #19127582C22semidirect
134. #19127582C22semidirect
135. #19127582C22semidirect
136. #19127582C22semidirect
137. #19127582C22semidirect
138. #19127581C22semidirect
140. #19127580C22semidirect
145. #19127579C22semidirect
147. #19127578C22semidirect
154. #19127577C22semidirect
155. #19127577C22semidirect
156. #19127576C22semidirect
157. #19127575C22semidirect
162. #19127572C22semidirect
163. #19127572C22semidirect
164. #19127570C22semidirect
165. #19127567C22semidirect
166. #19127563C22semidirect
167. #19127562C22semidirect
172. C2×#125×C83C22semidirect
174. #399×C83C22semidirect
179. #394×C83C22semidirect
181. #390×C83C22semidirect
183. #388×C83C22semidirect
184. #387×C83C22semidirect
185. #385×C83C22semidirect
186. #385×C83C22semidirect
847. #2711D83semidirect
865. C83#36759semidirect
867. C2×#125C2×D83semidirect
896. #399C2×D83semidirect
932. #394C2×D83semidirect
950. #390C2×D83semidirect
972. #388C2×D83semidirect
984. #387C2×D83semidirect
1011. #385C2×D83semidirect
1012. #385C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249158072
#249157682
#249153912
#249153892
#249153242
#249153172
#249152742
#249152702
#249147442
#249147402
#249147322
#249147292
#249142162
#249140782
#249140772
#249137362
#249137252
#249132022
#249112182
#249112062
#249112012
#249111972
#249110062
#249110002
#249109962
#249109942
#249101672
#249101602
#388×D832
C83×#27112
#3675983