Finite Group Databasebeta

← #35612785

Subgroups — #35612785

Order 21248.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915758C211yesmaximal, characteristic, complemented
2#24915742C211yesmaximal, characteristic, complemented
3#24915112C211yesmaximal, characteristic, complemented
4#24915111C211yesmaximal, characteristic, complemented
5#24914940C211yesmaximal, characteristic, complemented
6#24914847C211yesmaximal, characteristic, complemented
7#24914733C211yesmaximal, characteristic, complemented
8#24914679C211yesmaximal, characteristic, complemented
9#24914676C211yesmaximal, characteristic, complemented
10#24914608C211yesmaximal, characteristic, complemented
11#24914528C211yesmaximal, characteristic, complemented
12#24914160C211yesmaximal, characteristic, complemented
13#24914150C211yesmaximal, characteristic, complemented
14#24914083C211yesmaximal, characteristic, complemented
15#24914073C211yesmaximal, characteristic, complemented
16#24913893C211yesmaximal, characteristic, complemented
17#24913698C211yesmaximal, characteristic, complemented
18#24913248C211yesmaximal, characteristic, complemented
19#24913210C211yesmaximal, characteristic, complemented
20#24912392C211yesmaximal, characteristic, complemented
21#24912348C211yesmaximal, characteristic, complemented
22#24911183C211yesmaximal, characteristic, complemented
23#24911015C211yesmaximal, characteristic, complemented
24#24911006C211yesmaximal, characteristic, complemented
25#24910947C211yesmaximal, characteristic, complemented
26#24910920C211yesmaximal, characteristic, complemented
27#24910896C211yesmaximal, characteristic, complemented
28#24910167C211yesmaximal, characteristic, complemented
29#24910093C211yesmaximal, characteristic, complemented
30#385×D83C211yesmaximal, characteristic, complemented
31C83×#2711C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33C2×#14581777C2211yescharacteristic
34C2×#14581777C2211yescharacteristic
35C2×#14581777C2211yescharacteristic
36C2×#14581776C2211yescharacteristic
37C2×#14581774C2211yescharacteristic
38C2×#14581774C2211yescharacteristic
39C2×#14581765C2211yescharacteristic
40C2×#14581765C2211yescharacteristic
41C2×#14581765C2211yescharacteristic
42C2×#14581764C2211yescharacteristic, complemented
43C2×#14581763C2211yescharacteristic
44C2×#14581763C2211yescharacteristic
45C2×#14581762C2211yescharacteristic
46C2×#14581760C2211yescharacteristic
47C2×#14581760C2211yescharacteristic
48C2×C4×D332C2211yescharacteristic
49C2×(C22⋊D83)⋊C4C2211yescharacteristic
50C2×(C22⋊D83)⋊C4C2211yescharacteristic
51C2×C4⋊C4×D83C2211yescharacteristic
52C2×C4⋊C4×D83C2211yescharacteristic
53C2×C22⋊C4×D83C2211yescharacteristic
54C2×C22⋊C4×D83C2211yescharacteristic
55#19127641C2211yescharacteristic, complemented
56#19127640C2211yescharacteristic, complemented
57#19127639C2211yescharacteristic, complemented
58#19127639C2211yescharacteristic, complemented
59#19127639C2211yescharacteristic, complemented
60#19127637C2211yescharacteristic
61#19127637C2211yescharacteristic
62#19127637C2211yescharacteristic, complemented
63#19127636C2211yescharacteristic
64#19127635C2211yescharacteristic, complemented
65#19127635C2211yescharacteristic, complemented
66#19127634C2211yescharacteristic, complemented
67#19127634C2211yescharacteristic, complemented
68#19127634C2211yescharacteristic, complemented
69#19127634C2211yescharacteristic, complemented
70#19127634C2211yescharacteristic, complemented
71#19127633C2211yescharacteristic, complemented
72#19127630C2211yescharacteristic
73#19127629C2211yescharacteristic, complemented
74#19127629C2211yescharacteristic, complemented
75#19127628C2211yescharacteristic, complemented
76#19127627C2211yescharacteristic, complemented
77#19127626C2211yescharacteristic, complemented
78#19127624C2211yescharacteristic
79#19127624C2211yescharacteristic
80#19127624C2211yescharacteristic, complemented
81#19127624C2211yescharacteristic, complemented
82#19127624C2211yescharacteristic, complemented
83#19127623C2211yescharacteristic
84#19127623C2211yescharacteristic, complemented
85#19127623C2211yescharacteristic, complemented
86#19127623C2211yescharacteristic, complemented
87#19127618C2211yescharacteristic
88#19127617C2211yescharacteristic
89#19127617C2211yescharacteristic
90#19127617C2211yescharacteristic, complemented
91#19127617C2211yescharacteristic, complemented
92#19127616C2211yescharacteristic
93#19127616C2211yescharacteristic, complemented
94#19127610C2211yescharacteristic
95#19127609C2211yescharacteristic
96#19127609C2211yescharacteristic
97#19127603C2211yescharacteristic
98#19127601C2211yescharacteristic
99#19127601C2211yescharacteristic
100#19127601C2211yescharacteristic, complemented
101#19127600C2211yescharacteristic, complemented
102#19127600C2211yescharacteristic, complemented
103#19127599C2211yescharacteristic, complemented
104#19127598C2211yescharacteristic, complemented
105#19127594C2211yescharacteristic
106#19127594C2211yescharacteristic
107#19127594C2211yescharacteristic, complemented
108#19127592C2211yescharacteristic
109#19127591C2211yescharacteristic
110#19127591C2211yescharacteristic, complemented
111#19127590C2211yescharacteristic
112#19127589C2211yescharacteristic, complemented
113#19127588C2211yescharacteristic, complemented
114#19127585C2211yescharacteristic, complemented
115#19127585C2211yescharacteristic, complemented
116#19127585C2211yescharacteristic, complemented
117#19127583C2211yescharacteristic, complemented
118#19127581C2211yescharacteristic
119#19127581C2211yescharacteristic
120#19127581C2211yescharacteristic
121#19127581C2211yescharacteristic
122#19127581C2211yescharacteristic, complemented
123#19127580C2211yescharacteristic
124#19127579C2211yescharacteristic
125#19127579C2211yescharacteristic
126#19127578C2211yescharacteristic
127#19127578C2211yescharacteristic
128#19127578C2211yescharacteristic, complemented
129#19127577C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127577C2211yescharacteristic
132#19127577C2211yescharacteristic
133#19127577C2211yescharacteristic
134#19127577C2211yescharacteristic
135#19127577C2211yescharacteristic
136#19127577C2211yescharacteristic, complemented
137#19127576C2211yescharacteristic
138#19127576C2211yescharacteristic, complemented
139#19127575C2211yescharacteristic
140#19127575C2211yescharacteristic
141#19127575C2211yescharacteristic
142#19127575C2211yescharacteristic, complemented
143#19127575C2211yescharacteristic, complemented
144#19127574C2211yescharacteristic
145#19127573C2211yescharacteristic
146#19127573C2211yescharacteristic
147#19127572C2211yescharacteristic
148#19127572C2211yescharacteristic
149#19127572C2211yescharacteristic
150#19127572C2211yescharacteristic
151#19127572C2211yescharacteristic
152#19127568C2211yescharacteristic, complemented
153#19127566C2211yescharacteristic, complemented
154#19127566C2211yescharacteristic, complemented
155#19127563C2211yescharacteristic
156#19127563C2211yescharacteristic
157#19127563C2211yescharacteristic
158#19127563C2211yescharacteristic, complemented
159#19127562C2211yescharacteristic, complemented
160#19127561C2211yescharacteristic
161#19127559C2211yescharacteristic, complemented
162#19127559C2211yescharacteristic, complemented
163#19127559C2211yescharacteristic, complemented
164#19127558C2211yescharacteristic
165#19127558C2211yescharacteristic
166#19127558C2211yescharacteristic
167#19127558C2211yescharacteristic
168#19127556C2211yescharacteristic
169C4×(C2×D83)⋊C4C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172C2×#125×C83C2211yescharacteristic, complemented
173C2×#121×C83C2211yescharacteristic
174#399×C83C2211yescharacteristic, complemented
175#396×C83C2211yescharacteristic, complemented
176#394×C83C2211yescharacteristic
177#394×C83C2211yescharacteristic
178#394×C83C2211yescharacteristic, complemented
179#394×C83C2211yescharacteristic, complemented
180#390×C83C2211yescharacteristic
181#390×C83C2211yescharacteristic
182#388×C83C2211yescharacteristic, complemented
183#388×C83C2211yescharacteristic, complemented
184#387×C83C2211yescharacteristic, complemented
185#385×C83C2211yescharacteristic
186#385×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C22×D332C2311yescharacteristic
189C22×D332C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198C23×Dic83C2311yescharacteristic
199C23×Dic83C2311yescharacteristic
200C22×C4×D83—42no—
201C22×C4×D83—42no—
202C22×C4×D83—42no—
203C22×C4×D83C2311yescharacteristic
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#14581777—42no—
213#14581777—42no—
214#14581777—42no—
215#14581776—42no—
216#14581774—42no—
217#14581774—42no—
218#14581765—24no—
219#14581765—42no—
220#14581765—42no—
221#14581764—42no—
222#14581763—42no—
223#14581763—42no—
224#14581762—42no—
225#14581760—42no—
226#14581760—42no—
227C4×D332—42no—
228(C22⋊D83)⋊C4—24no—
229(C22⋊D83)⋊C4—42no—
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×C4⋊Dic83C2311yescharacteristic
235C2×C4⋊Dic83C2311yescharacteristic
236C2×C4⋊Dic83C2311yescharacteristic
237C2×C4⋊Dic83C2311yescharacteristic
238C2×C4⋊Dic83C2311yescharacteristic
239C2×C4⋊Dic83C2311yescharacteristic
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×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C4⋊C4×D83—42no—
256C4⋊C4×D83—42no—
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×(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
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C22⋊C4×D83—24no—
294C22⋊C4×D83—42no—
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
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—22no—
373C23×D83—22no—
374C23×D83—41no—
375C23×D83—41no—
376C23×D83C2411yescharacteristic
377C23×D83C2411yescharacteristic
378C23×D83C2411yescharacteristic
379C2×D332—22no—
380C2×D332—22no—
381C2×D332—22no—
382C2×D332—22no—
383C2×D332—41no—
384C2×D332—41no—
385C2×C22⋊D83—22no—
386C2×C22⋊D83—22no—
387C2×C22⋊D83—22no—
388C2×C22⋊D83—22no—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—22no—
391C2×C22⋊D83—22no—
392C2×C22⋊D83—22no—
393C2×C22⋊D83—22no—
394C2×C22⋊D83—22no—
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—41no—
402C2×C22⋊D83—41no—
403C2×C22⋊D83—41no—
404C2×C22⋊D83—41no—
405C2×C22⋊D83—41no—
406C22×Dic83—22no—
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×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C2×C4×D83—22no—
429C2×C4×D83—22no—
430C2×C4×D83—22no—
431C2×C4×D83—22no—
432C2×C4×D83—22no—
433C2×C4×D83—22no—
434C2×C4×D83—22no—
435C2×C4×D83—22no—
436C2×C4×D83—22no—
437C2×C4×D83—22no—
438C2×C4×D83—22no—
439C2×C4×D83—41no—
440C2×C4×D83—41no—
441C2×C4×D83—41no—
442C2×C4×D83—41no—
443C2×C4×D83—41no—
444C2×C4×D83—41no—
445C2×C4×D83—41no—
446C2×C4×D83—41no—
447C2×C4×D83—416no—
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#4114yes—
456C4⋊Dic83—41no—
457C4⋊Dic83—41no—
458C4⋊Dic83—41no—
459C4⋊Dic83—41no—
460C4⋊Dic83—41no—
461C4⋊Dic83—41no—
462C4⋊Dic83—41no—
463C4⋊Dic83—41no—
464C4⋊Dic83—41no—
465C4⋊Dic83—41no—
466Dic83⋊C4—22no—
467Dic83⋊C4—22no—
468Dic83⋊C4—22no—
469Dic83⋊C4—41no—
470Dic83⋊C4—41no—
471Dic83⋊C4—41no—
472Dic83⋊C4—41no—
473Dic83⋊C4—41no—
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—41no—
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—
493C22⋊Dic83—41no—
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—22no—
504(C2×D83)⋊C4—22no—
505(C2×D83)⋊C4—22no—
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—
517C4×Dic83—22no—
518C4×Dic83—41no—
519C4×Dic83—41no—
520C24×C83C2411yescharacteristic
521C24×C83C2411yescharacteristic
522C24×C83C2411yescharacteristic
523C2×D4×C83—22no—
524C2×D4×C83—22no—
525C2×D4×C83—22no—
526C2×D4×C83—41no—
527C2×D4×C83—41no—
528C2×D4×C83—41no—
529C2×D4×C83—41no—
530C2×D4×C83—41no—
531C2×D4×C83—41no—
532C22×C4×C83—22no—
533C22×C4×C83—41no—
534C22×C4×C83—41no—
535C22×C4×C83C2411yescharacteristic
536C22×C4×C83C2411yescharacteristic
537C22×C4×C83C2411yescharacteristic
538C22×C4×C83C2411yescharacteristic
539C22×C4×C83C2411yescharacteristic
540C22×C4×C83C2411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C22×C4×C83C2411yescharacteristic
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C4⋊C4×C83—22no—
548C4⋊C4×C83—22no—
549C4⋊C4×C83—22no—
550C4⋊C4×C83—41no—
551C4⋊C4×C83—41no—
552C4⋊C4×C83—41no—
553C4⋊C4×C83—41no—
554C4⋊C4×C83—41no—
555C4⋊C4×C83—41no—
556C22⋊C4×C83—22no—
557C22⋊C4×C83—22no—
558C22⋊C4×C83—22no—
559C22⋊C4×C83—22no—
560C22⋊C4×C83—41no—
561C22⋊C4×C83—41no—
562C22⋊C4×C83—41no—
563C22⋊C4×C83—41no—
564C22⋊C4×C83—41no—
565C22⋊C4×C83—41no—
566C22⋊C4×C83—41no—
567C22⋊C4×C83—41no—
568C22⋊C4×C83—41no—
569C22⋊C4×C83—41no—
570C42×C83—41no—
571C42×C83—41no—
572C23×C83—21no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83—21no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
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×C832−1+412yes—
593C23×C83C2511yescharacteristic
594C22×D83—21no—
595C22×D83—21no—
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—28no—
599C22×D83—21no—
600C22×D83—21no—
601C22×D83—21no—
602C22×D83—21no—
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—44no—
613C22×D83—44no—
614C22×D83—44no—
615C22×D83—44no—
616C22×D83—44no—
617C22×D83—44no—
618C22×D83C2×#4112yes—
619C22×D83H(5,𝔽2)12yes—
620C22×D83H(5,𝔽2)12yes—
621C22×D83H(5,𝔽2)12yes—
622D4×C83—82no—
623D4×C83—82no—
624D4×C83—82no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—21no—
628C2×C4×C83—21no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—44no—
660C2×C4×C83C2×#4112yes—
661C2×C4×C83H(5,𝔽2)12yes—
662C22⋊D83—44no—
663C22⋊D83—44no—
664C22⋊D83—82no—
665C22⋊D83—82no—
666C22⋊D83—82no—
667C22⋊D83—82no—
668C22⋊D83—82no—
669C2×Dic83—21no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—44no—
708C2×Dic83—82no—
709C2×Dic83—82no—
710C2×Dic83C2×#4112yes—
711D332—44no—
712D332—82no—
713C4×D83—44no—
714C4×D83—44no—
715C4×D83—44no—
716C4×D83—44no—
717C4×D83—44no—
718C4×D83—44no—
719C4×D83—82no—
720C4×D83—82no—
721C4×D83—82no—
722C22×C83—22no—
723C22×C83—22no—
724C22×C83—22no—
725C22×C83—41no—
726C22×C83—41no—
727C22×C83—41no—
728C22×C83—41no—
729C22×C83—41no—
730C22×C83—41no—
731C22×C83—41no—
732C22×C83—41no—
733C22×C83—41no—
734C22×C83—41no—
735C22×C83—41no—
736C22×C83—41no—
737C22×C83—41no—
738C22×C83—41no—
739C22×C83—41no—
740C22×C83—41no—
741C22×C83—41no—
742C22×C83—41no—
743C22×C83C22×#4111yescharacteristic
744C22×C83C2×H(5,𝔽2)11yescharacteristic
745C22×C83C2×H(5,𝔽2)11yescharacteristic
746C22×C83C2×H(5,𝔽2)11yescharacteristic
747C22×C83C2×H(5,𝔽2)11yescharacteristic
748C22×C83C2×2−1+411yescharacteristic
749C22×C83#58511yescharacteristic
750C2×D83—22no—
751C2×D83—22no—
752C2×D83—22no—
753C2×D83—22no—
754C2×D83—22no—
755C2×D83—22no—
756C2×D83—22no—
757C2×D83—22no—
758C2×D83—22no—
759C2×D83—416no—
760C2×D83—41no—
761C2×D83—41no—
762C2×D83—41no—
763C2×D83—41no—
764C2×D83—41no—
765C2×D83—41no—
766C2×D83—41no—
767C2×D83—41no—
768C2×D83—41no—
769C2×D83—41no—
770C2×D83—41no—
771C2×D83#54014yes—
772C4×C83—22no—
773C4×C83—22no—
774C4×C83—41no—
775C4×C83—41no—
776C4×C83—41no—
777C4×C83—41no—
778C4×C83—41no—
779C4×C83—41no—
780C4×C83—41no—
781C4×C83—41no—
782C4×C83—41no—
783C4×C83—41no—
784Dic83—22no—
785Dic83—41no—
786Dic83—41no—
787Dic83—41no—
788Dic83—41no—
789Dic83—41no—
790Dic83—41no—
791Dic83—41no—
792Dic83—41no—
793Dic83—41no—
794Dic83—41no—
795Dic83—41no—
796Dic83—41no—
797#36777—831nomaximal, Sylow
798C2×C83—42no—
799C2×C83—81no—
800C2×C83—81no—
801C2×C83C2×#54011yescharacteristic
802C2×C83#349211yescharacteristic
803C2×C83#350511yescharacteristic
804C2×C83#353211yescharacteristic
805C2×C83#353411yescharacteristic
806C2×C83#353511yescharacteristic
807C2×C83#353611yescharacteristic
808D83—24no—
809D83—42no—
810D83—81no—
811#2849—831no—
812#2847—831no—
813#2780—831no—
814#2780—831no—
815#2768—831no—
816#2761—831no—
817#2753—831no—
818#2749—831no—
819#2748—831no—
820#2743—831no—
821#2738—831no—
822#2711D8311yescharacteristic, complemented
823#2707—831no—
824#2706—831no—
825#2701—831no—
826#2701—831no—
827#2688—831no—
828#2671—831no—
829#2623—831no—
830#2618—831no—
831#2539—831no—
832#2534—831no—
833#2442—831no—
834#2425—831no—
835#2424—831no—
836#2419—831no—
837#2418—831no—
838#2416—831no—
839#2325—831no—
840#2318—831no—
841C2×#385—831no—
842C83#3677711yescharacteristic, complemented, Sylow
843C24×C4—831no—
844C2×#125C2×D8311yescharacteristic, complemented
845C2×#123—831no—
846C2×#123—831no—
847C2×#123—831no—
848C2×#123—831no—
849C2×#123—831no—
850C2×#123—831no—
851C2×#121—831no—
852C2×#121—831no—
853C2×#121—831no—
854C2×#121—831no—
855C2×#121—831no—
856C2×#121—831no—
857C2×#121C2×D8311yescharacteristic
858C2×#120—831no—
859C2×#120—831no—
860C2×#120—831no—
861C2×C4×D4—831no—
862C2×C4×D4—831no—
863C2×C4×D4—831no—
864C22×C4⋊C4—831no—
865C22×C4⋊C4—831no—
866C22×C22⋊C4—831no—
867C22×C22⋊C4—831no—
868#400—831no—
869#400—831no—
870#400—831no—
871#400—831no—
872#400—831no—
873#399—831no—
874#399—831no—
875#399—831no—
876#399—831no—
877#399C2×D8311yescharacteristic, complemented
878#398—831no—
879#398—831no—
880#398—831no—
881#398—831no—
882#398—831no—
883#398—831no—
884#398—831no—
885#398—831no—
886#397—831no—
887#397—831no—
888#397—831no—
889#397—831no—
890#397—831no—
891#397—831no—
892#396—831no—
893#396—831no—
894#396—831no—
895#396—831no—
896#396—831no—
897#396—831no—
898#396—831no—
899#396—831no—
900#396—831no—
901#396C2×D8311yescharacteristic, complemented
902#394—831no—
903#394—831no—
904#394—831no—
905#394—831no—
906#394—831no—
907#394—831no—
908#394—831no—
909#394C2×D8311yescharacteristic
910#394C2×D8311yescharacteristic
911#394C2×D8311yescharacteristic, complemented
912#394C2×D8311yescharacteristic, complemented
913#392—831no—
914#392—831no—
915#392—831no—
916#390—831no—
917#390—831no—
918#390—831no—
919#390—831no—
920#390C2×D8311yescharacteristic
921#390C2×D8311yescharacteristic
922#389—831no—
923#389—831no—
924#389—831no—
925#389—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#388C2×D8311yescharacteristic, complemented
935#388C2×D8311yescharacteristic, complemented
936#387—831no—
937#387—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387C2×D8311yescharacteristic, complemented
942#386—831no—
943#386—831no—
944#386—831no—
945#386—831no—
946#386—831no—
947#386—831no—
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#386—831no—
953#386—831no—
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#385—831no—
962#385—831no—
963#385—831no—
964#385—831no—
965#385—831no—
966#385—831no—
967#385—831no—
968#385—831no—
969#385—831no—
970#385—831no—
971#385—831no—
972#385—831no—
973#385—831no—
974#385—831no—
975#385—831no—
976#385C2×D8311yescharacteristic
977#385C2×D8311yescharacteristic
978#383—831no—
979#382—831no—
980#382—831no—
981#381—831no—
982#381—831no—
983#381—831no—
984#381—831no—
985#381—831no—
986#380—831no—
987#380—831no—
988#380—831no—
989#380—831no—
990#380—831no—
991#380—831no—
992#380—831no—
993#380—831no—
994#379—831no—
995C4×C22⋊C4—831no—
996C2×#95—831no—
997C2×#95—831no—
998C25—831no—
999C22×D4—831no—
1000C22×D4—831no—
1001C22×D4—831no—
1002C22×D4—831no—
1003C22×D4—831no—
1004C22×D4—831no—
1005C22×D4—831no—
1006C22×D4—831no—
1007C22×D4—831no—
1008C22×D4C22×D8311yescharacteristic
1009C22×D4C22×D8311yescharacteristic
1010C22×D4C22×D8311yescharacteristic
1011C23×C4—3322no—
1012C23×C4—3322no—
1013C23×C4—3322no—
1014C23×C4—831no—
1015C23×C4—831no—
1016C23×C4—831no—
1017C23×C4—831no—
1018C23×C4—831no—
1019C23×C4—831no—
1020C23×C4—831no—
1021C23×C4—831no—
1022C23×C4—831no—
1023C23×C4—831no—
1024C23×C4—831no—
1025C23×C4—831no—
1026C23×C4C22×D8311yescharacteristic
1027#125—42no—
1028#123—3322no—
1029#123—3322no—
1030#123—3322no—
1031#123—3322no—
1032#123—3322no—
1033#123—3322no—
1034#121—42no—
1035#121—3322no—
1036#121—3322no—
1037#121—3322no—
1038#121—3322no—
1039#121—3322no—
1040#121—1664no—
1041#120—3322no—
1042#120—3322no—
1043#120—3322no—
1044C4×D4—3322no—
1045C4×D4—3322no—
1046C4×D4—1664no—
1047C2×C4⋊C4—3322no—
1048C2×C4⋊C4—3322no—
1049C2×C4⋊C4—831no—
1050C2×C4⋊C4—831no—
1051C2×C4⋊C4—831no—
1052C2×C4⋊C4—831no—
1053C2×C4⋊C4—831no—
1054C2×C4⋊C4—831no—
1055C2×C4⋊C4—831no—
1056C2×C4⋊C4—831no—
1057C2×C4⋊C4—831no—
1058C2×C4⋊C4—831no—
1059C2×C4⋊C4—831no—
1060C2×C4⋊C4—831no—
1061C2×C4⋊C4—831no—
1062C2×C4⋊C4—831no—
1063C2×C4⋊C4—831no—
1064C2×C4⋊C4—831no—
1065C2×C4⋊C4—831no—
1066C2×C4⋊C4—831no—
1067C2×C4⋊C4—831no—
1068C2×C4⋊C4—831no—
1069C2×C4⋊C4—831no—
1070C2×C4⋊C4—831no—
1071C2×C4⋊C4—831no—
1072C2×C4⋊C4—831no—
1073C2×C4⋊C4—831no—
1074C2×C4⋊C4C22×D8311yescharacteristic
1075C2×C4⋊C4C22×D8311yescharacteristic
1076C2×C4⋊C4C22×D8311yescharacteristic
1077C2×C4⋊C4C22×D8311yescharacteristic
1078C2×C4⋊C4C22×D8311yescharacteristic
1079C2×C4⋊C4C22×D8311yescharacteristic
1080C2×C4⋊C4C22×D8311yescharacteristic
1081C2×C4⋊C4C22×D8311yescharacteristic
1082C2×C4⋊C4C22×D8311yescharacteristic
1083C2×C22⋊C4—3322no—
1084C2×C22⋊C4—831no—
1085C2×C22⋊C4—831no—
1086C2×C22⋊C4—831no—
1087C2×C22⋊C4—831no—
1088C2×C22⋊C4—831no—
1089C2×C22⋊C4—831no—
1090C2×C22⋊C4—831no—
1091C2×C22⋊C4—831no—
1092C2×C22⋊C4—831no—
1093C2×C22⋊C4—831no—
1094C2×C22⋊C4—831no—
1095C2×C22⋊C4—831no—
1096C2×C22⋊C4—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4—831no—
1099C2×C22⋊C4—831no—
1100C2×C22⋊C4—831no—
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—1664no—
1121C2×C22⋊C4C22×D8311yescharacteristic
1122C2×C22⋊C4C22×D8311yescharacteristic
1123C2×C22⋊C4C22×D8311yescharacteristic
1124C2×C22⋊C4C22×D8311yescharacteristic
1125C2×C22⋊C4C22×D8311yescharacteristic
1126C2×C22⋊C4C22×D8311yescharacteristic
1127C2×C22⋊C4C22×D8311yescharacteristic
1128C2×C22⋊C4C22×D8311yescharacteristic
1129C2×C22⋊C4C22×D8311yescharacteristic
1130C2×C22⋊C4C22×D8311yescharacteristic
1131C2×C22⋊C4C22×D8311yescharacteristic
1132C2×C22⋊C4C22×D8311yescharacteristic
1133C2×C22⋊C4C22×D8311yescharacteristic
1134C2×C22⋊C4C22×D8311yescharacteristic
1135C2×C42—831no—
1136C2×C42—831no—
1137C2×C42—831no—
1138C2×C42C22×D8311yescharacteristic
1139C2×C42C22×D8311yescharacteristic
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95—831no—
1150#95—831no—
1151#95—831no—
1152#95—831no—
1153#95—831no—
1154#95—831no—
1155#95—831no—
1156#95—831no—
1157#95—831no—
1158#95—831no—
1159#95—831no—
1160#95—831no—
1161#95—831no—
1162#95—831no—
1163#95—831no—
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95C22×D8311yescharacteristic
1175#95C22×D8311yescharacteristic
1176#95C22×D8311yescharacteristic
1177#95C22×D8311yescharacteristic
1178#95C22×D8311yescharacteristic
1179#95C22×D8311yescharacteristic
1180C24—3321no—
1181C24—3321no—
1182C24—831no—
1183C24—831no—
1184C24—831no—
1185C24—1662no—
1186C24—1662no—
1187C24—1662no—
1188C24—1662no—
1189C24—1662no—
1190C24C23×D8311yescharacteristic
1191C24C23×D8311yescharacteristic
1192C24C23×D8311yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—3321no—
1203C2×D4—3321no—
1204C2×D4—3321no—
1205C2×D4—3321no—
1206C2×D4—3321no—
1207C2×D4—3321no—
1208C2×D4—3321no—
1209C2×D4—3321no—
1210C2×D4—3321no—
1211C2×D4—3321no—
1212C2×D4—3321no—
1213C2×D4—3321no—
1214C2×D4—3321no—
1215C2×D4—1662no—
1216C2×D4—1662no—
1217C2×D4—1662no—
1218C2×D4—1662no—
1219C2×D4—1662no—
1220C2×D4—1662no—
1221C2×D4—1662no—
1222C2×D4—1662no—
1223C2×D4—1662no—
1224C2×D4—1662no—
1225C2×D4—1662no—
1226C2×D4—1662no—
1227C2×D4—1662no—
1228C2×D4—1662no—
1229C22×C4—22no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—3321no—
1233C22×C4—3321no—
1234C22×C4—3321no—
1235C22×C4—3321no—
1236C22×C4—3321no—
1237C22×C4—3321no—
1238C22×C4—3321no—
1239C22×C4—3321no—
1240C22×C4—3321no—
1241C22×C4—3321no—
1242C22×C4—3321no—
1243C22×C4—3321no—
1244C22×C4—3321no—
1245C22×C4—3321no—
1246C22×C4—3321no—
1247C22×C4—33216no—
1248C22×C4—3321no—
1249C22×C4—3321no—
1250C22×C4—3321no—
1251C22×C4—3321no—
1252C22×C4—3321no—
1253C22×C4—3321no—
1254C22×C4—3321no—
1255C22×C4—3321no—
1256C22×C4—834no—
1257C22×C4—831no—
1258C22×C4—831no—
1259C22×C4—831no—
1260C22×C4—831no—
1261C22×C4—831no—
1262C22×C4—831no—
1263C22×C4—831no—
1264C22×C4—831no—
1265C22×C4—831no—
1266C22×C4—831no—
1267C22×C4—831no—
1268C22×C4—831no—
1269C22×C4—831no—
1270C22×C4—1662no—
1271C22×C4—1662no—
1272C22×C4—1662no—
1273C22×C4—1662no—
1274C22×C4—1662no—
1275C22×C4—1662no—
1276C22×C4—1662no—
1277C22×C4—1662no—
1278C22×C4—1662no—
1279C22×C4—1662no—
1280C22×C4—1662no—
1281C22×C4—1662no—
1282C22×C4C23×D8311yescharacteristic
1283C22×C4C23×D8311yescharacteristic
1284C22×C4C23×D8311yescharacteristic
1285C22×C4C23×D8311yescharacteristic
1286C22×C4C23×D8311yescharacteristic
1287C22×C4C23×D8311yescharacteristic
1288C22×C4C23×D8311yescharacteristic
1289C22×C4C23×D8311yescharacteristic
1290C22×C4C23×D8311yescharacteristic
1291C22×C4C23×D8311yescharacteristic
1292C22×C4C23×D8311yescharacteristic
1293C22×C4C23×D8311yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—3321no—
1304C4⋊C4—3321no—
1305C4⋊C4—3321no—
1306C4⋊C4—3321no—
1307C4⋊C4—3321no—
1308C4⋊C4—3321no—
1309C4⋊C4—3321no—
1310C4⋊C4—3321no—
1311C4⋊C4—3321no—
1312C4⋊C4—3321no—
1313C4⋊C4—3321no—
1314C4⋊C4—3321no—
1315C4⋊C4—3321no—
1316C4⋊C4—3321no—
1317C4⋊C4—3321no—
1318C4⋊C4—3321no—
1319C4⋊C4—3321no—
1320C4⋊C4—3321no—
1321C4⋊C4—3321no—
1322C4⋊C4—3321no—
1323C4⋊C4—3321no—
1324C4⋊C4—3321no—
1325C4⋊C4—1662no—
1326C4⋊C4—1662no—
1327C4⋊C4—1662no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—3321no—
1343C22⋊C4—3321no—
1344C22⋊C4—3321no—
1345C22⋊C4—3321no—
1346C22⋊C4—3321no—
1347C22⋊C4—3321no—
1348C22⋊C4—3321no—
1349C22⋊C4—3321no—
1350C22⋊C4—3321no—
1351C22⋊C4—3321no—
1352C22⋊C4—3321no—
1353C22⋊C4—3321no—
1354C22⋊C4—3321no—
1355C22⋊C4—3321no—
1356C22⋊C4—3321no—
1357C22⋊C4—3321no—
1358C22⋊C4—3321no—
1359C22⋊C4—3321no—
1360C22⋊C4—3321no—
1361C22⋊C4—3321no—
1362C22⋊C4—3321no—
1363C22⋊C4—3321no—
1364C22⋊C4—3321no—
1365C22⋊C4—1662no—
1366C22⋊C4—1662no—
1367C22⋊C4—1662no—
1368C22⋊C4—1662no—
1369C22⋊C4—1662no—
1370C22⋊C4—1662no—
1371C22⋊C4—1662no—
1372C22⋊C4—1662no—
1373C22⋊C4—1662no—
1374C22⋊C4—1662no—
1375C22⋊C4—1662no—
1376C22⋊C4—1662no—
1377C22⋊C4—1662no—
1378C42—41no—
1379C42—41no—
1380C42—3321no—
1381C42—3321no—
1382C42—1662no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—3324no—
1404C23—3324no—
1405C23—3324no—
1406C23—3324no—
1407C23—3324no—
1408C23—3324no—
1409C23—832no—
1410C23—832no—
1411C23—832no—
1412C23—832no—
1413C23—1668no—
1414C23—1661no—
1415C23—1661no—
1416C23—1661no—
1417C23—1661no—
1418C23—1661no—
1419C23—1661no—
1420C23—1661no—
1421C23—1661no—
1422C23—1661no—
1423C23—1661no—
1424C23—1661no—
1425C23—1661no—
1426C23—1661no—
1427C23—1661no—
1428C23—1661no—
1429C23—1661no—
1430C23—1661no—
1431C23#1458183912yes—
1432C23C24×D8311yescharacteristic
1433D4—82no—
1434D4—82no—
1435D4—82no—
1436D4—3324no—
1437D4—3324no—
1438D4—3324no—
1439D4—6642no—
1440D4—6642no—
1441D4—6642no—
1442D4—6642no—
1443D4—6642no—
1444D4—6642no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—44no—
1480C2×C4—3324no—
1481C2×C4—3324no—
1482C2×C4—3324no—
1483C2×C4—3324no—
1484C2×C4—3324no—
1485C2×C4—3324no—
1486C2×C4—3324no—
1487C2×C4—832no—
1488C2×C4—6642no—
1489C2×C4—6642no—
1490C2×C4—6642no—
1491C2×C4—6642no—
1492C2×C4—6642no—
1493C2×C4—1661no—
1494C2×C4—1661no—
1495C2×C4—1661no—
1496C2×C4—1661no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4—1661no—
1500C2×C4—1661no—
1501C2×C4—1661no—
1502C2×C4—1661no—
1503C2×C4—1661no—
1504C2×C4—1661no—
1505C2×C4—1661no—
1506C2×C4—1661no—
1507C2×C4—1661no—
1508C2×C4—1661no—
1509C2×C4—1661no—
1510C2×C4—1661no—
1511C2×C4—1661no—
1512C2×C4—1661no—
1513C2×C4—1661no—
1514C2×C4—1661no—
1515C2×C4—1661no—
1516C2×C4—1661no—
1517C2×C4—1661no—
1518C2×C4—1661no—
1519C2×C4—1661no—
1520C2×C4—1661no—
1521C2×C4—1661no—
1522C2×C4—1661no—
1523C2×C4—1661no—
1524C2×C4—1661no—
1525C2×C4—1661no—
1526C2×C4—1661no—
1527C2×C4—1661no—
1528C2×C4—1661no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4#41×D8312yes—
1532C2×C4#1458183712yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—33216no—
1555C22—3321no—
1556C22—3321no—
1557C22—3321no—
1558C22—3321no—
1559C22—3321no—
1560C22—3321no—
1561C22—3321no—
1562C22—3321no—
1563C22—3321no—
1564C22—3321no—
1565C22—3321no—
1566C22—834no—
1567C22—1662no—
1568C22—1662no—
1569C22—1662no—
1570C22—1662no—
1571C22—1662no—
1572C22—1662no—
1573C22—1662no—
1574C22—1662no—
1575C22—1662no—
1576C22C2×#41×D8311yescharacteristic
1577C22H(5,𝔽2)×D8311yescharacteristic
1578C22H(5,𝔽2)×D8311yescharacteristic
1579C22H(5,𝔽2)×D8311yescharacteristic
1580C22C2×#1458183711yescharacteristic
1581C22C2×#1458183911yescharacteristic
1582C22#1912853811yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—3321no—
1596C4—3321no—
1597C4—3321no—
1598C4—3321no—
1599C4—3321no—
1600C4—3321no—
1601C4—3321no—
1602C4—3321no—
1603C4—3321no—
1604C4—3321no—
1605C4—3321no—
1606C4—3321no—
1607C4—1662no—
1608C2—42no—
1609C2—81no—
1610C2—81no—
1611C2—3322no—
1612C2—6641no—
1613C2—1664no—
1614C2#540×D8311yescharacteristic
1615C2#2492116711yescharacteristic
1616C2#2492129911yescharacteristic
1617C2#2492161711yescharacteristic
1618C2#2492165511yescharacteristic
1619C2#2492166911yescharacteristic
1620C2#2492168311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2711C2
hypercenter#2711D83
hypocenterC83#36777
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2711

Complements

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

NH ≅ G/Ntype
1. #24915758C2semidirect
2. #24915742C2semidirect
3. #24915112C2semidirect
4. #24915111C2semidirect
5. #24914940C2semidirect
6. #24914847C2semidirect
7. #24914733C2semidirect
8. #24914679C2semidirect
9. #24914676C2semidirect
10. #24914608C2semidirect
11. #24914528C2semidirect
12. #24914160C2semidirect
13. #24914150C2semidirect
14. #24914083C2semidirect
15. #24914073C2semidirect
16. #24913893C2semidirect
17. #24913698C2semidirect
18. #24913248C2semidirect
19. #24913210C2semidirect
20. #24912392C2semidirect
21. #24912348C2semidirect
22. #24911183C2semidirect
23. #24911015C2semidirect
24. #24911006C2semidirect
25. #24910947C2semidirect
26. #24910920C2semidirect
27. #24910896C2semidirect
28. #24910167C2semidirect
29. #24910093C2semidirect
30. #385×D83C2semidirect
31. C83×#2711C2semidirect
42. C2×#14581764C22semidirect
55. #19127641C22semidirect
56. #19127640C22semidirect
57. #19127639C22semidirect
58. #19127639C22semidirect
59. #19127639C22semidirect
62. #19127637C22semidirect
64. #19127635C22semidirect
65. #19127635C22semidirect
66. #19127634C22semidirect
67. #19127634C22semidirect
68. #19127634C22semidirect
69. #19127634C22semidirect
70. #19127634C22semidirect
71. #19127633C22semidirect
73. #19127629C22semidirect
74. #19127629C22semidirect
75. #19127628C22semidirect
76. #19127627C22semidirect
77. #19127626C22semidirect
80. #19127624C22semidirect
81. #19127624C22semidirect
82. #19127624C22semidirect
84. #19127623C22semidirect
85. #19127623C22semidirect
86. #19127623C22semidirect
90. #19127617C22semidirect
91. #19127617C22semidirect
93. #19127616C22semidirect
100. #19127601C22semidirect
101. #19127600C22semidirect
102. #19127600C22semidirect
103. #19127599C22semidirect
104. #19127598C22semidirect
107. #19127594C22semidirect
110. #19127591C22semidirect
112. #19127589C22semidirect
113. #19127588C22semidirect
114. #19127585C22semidirect
115. #19127585C22semidirect
116. #19127585C22semidirect
117. #19127583C22semidirect
122. #19127581C22semidirect
128. #19127578C22semidirect
136. #19127577C22semidirect
138. #19127576C22semidirect
142. #19127575C22semidirect
143. #19127575C22semidirect
152. #19127568C22semidirect
153. #19127566C22semidirect
154. #19127566C22semidirect
158. #19127563C22semidirect
159. #19127562C22semidirect
161. #19127559C22semidirect
162. #19127559C22semidirect
163. #19127559C22semidirect
172. C2×#125×C83C22semidirect
174. #399×C83C22semidirect
175. #396×C83C22semidirect
178. #394×C83C22semidirect
179. #394×C83C22semidirect
182. #388×C83C22semidirect
183. #388×C83C22semidirect
184. #387×C83C22semidirect
822. #2711D83semidirect
842. C83#36777semidirect
844. C2×#125C2×D83semidirect
877. #399C2×D83semidirect
901. #396C2×D83semidirect
911. #394C2×D83semidirect
912. #394C2×D83semidirect
934. #388C2×D83semidirect
935. #388C2×D83semidirect
941. #387C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157582
#249157422
#249151122
#249151112
#249149402
#249148472
#249147332
#249146792
#249146762
#249146082
#249145282
#249141602
#249141502
#249140832
#249140732
#249138932
#249136982
#249132482
#249132102
#249123922
#249123482
#249111832
#249110152
#249110062
#249109472
#249109202
#249108962
#249101672
#249100932
#385×D832
C83×#27112
#3677783