Finite Group Databasebeta

← #35612283

Subgroups — #35612283

Order 21248.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915751C211yesmaximal, characteristic, complemented
2#24915744C211yesmaximal, characteristic, complemented
3#24915327C211yesmaximal, characteristic, complemented
4#24915131C211yesmaximal, characteristic, complemented
5#24915099C211yesmaximal, characteristic, complemented
6#24915085C211yesmaximal, characteristic, complemented
7#24915079C211yesmaximal, characteristic, complemented
8#24914784C211yesmaximal, characteristic, complemented
9#24914738C211yesmaximal, characteristic, complemented
10#24914691C211yesmaximal, characteristic, complemented
11#24914577C211yesmaximal, characteristic, complemented
12#24914467C211yesmaximal, characteristic, complemented
13#24914265C211yesmaximal, characteristic, complemented
14#24914100C211yesmaximal, characteristic, complemented
15#24914086C211yesmaximal, characteristic, complemented
16#24914009C211yesmaximal, characteristic, complemented
17#24913894C211yesmaximal, characteristic, complemented
18#24913771C211yesmaximal, characteristic, complemented
19#24913178C211yesmaximal, characteristic, complemented
20#24913177C211yesmaximal, characteristic, complemented
21#24911850C211yesmaximal, characteristic, complemented
22#24911787C211yesmaximal, characteristic, complemented
23#24911706C211yesmaximal, characteristic, complemented
24#24911583C211yesmaximal, characteristic, complemented
25#24911008C211yesmaximal, characteristic, complemented
26#24910995C211yesmaximal, characteristic, complemented
27#24910946C211yesmaximal, characteristic, complemented
28#24910120C211yesmaximal, characteristic, complemented
29#24910117C211yesmaximal, characteristic, complemented
30C2×#19127577C211yesmaximal, characteristic, complemented
31C83×#2418C211yesmaximal, characteristic, complemented
32C23×C22⋊D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C2×#14581785C2211yescharacteristic, complemented
35C2×#14581778C2211yescharacteristic, complemented
36C2×#14581776C2211yescharacteristic
37C2×#14581773C2211yescharacteristic
38C2×#14581772C2211yescharacteristic, complemented
39C2×#14581772C2211yescharacteristic, complemented
40C2×#14581771C2211yescharacteristic
41C2×#14581765C2211yescharacteristic, complemented
42C2×#14581765C2211yescharacteristic, complemented
43C2×#14581764C2211yescharacteristic
44C2×#14581763C2211yescharacteristic, complemented
45C2×#14581762C2211yescharacteristic
46C2×#14581761C2211yescharacteristic
47C2×#14581760C2211yescharacteristic
48C2×(C22⋊D83)⋊C4C2211yescharacteristic
49C22×C22⋊Dic83C2211yescharacteristic
50C22×(C2×D83)⋊C4C2211yescharacteristic
51C83⋊#401C2211yescharacteristic, complemented
52#19127643C2211yescharacteristic, complemented
53#19127643C2211yescharacteristic, complemented
54#19127643C2211yescharacteristic, complemented
55#19127642C2211yescharacteristic, complemented
56#19127640C2211yescharacteristic, complemented
57#19127639C2211yescharacteristic, complemented
58#19127634C2211yescharacteristic, complemented
59#19127631C2211yescharacteristic, complemented
60#19127630C2211yescharacteristic, complemented
61#19127629C2211yescharacteristic, complemented
62#19127629C2211yescharacteristic, complemented
63#19127629C2211yescharacteristic, complemented
64#19127629C2211yescharacteristic, complemented
65#19127627C2211yescharacteristic, complemented
66#19127626C2211yescharacteristic, complemented
67#19127626C2211yescharacteristic, complemented
68#19127624C2211yescharacteristic, complemented
69#19127624C2211yescharacteristic, complemented
70#19127623C2211yescharacteristic, complemented
71#19127617C2211yescharacteristic
72#19127617C2211yescharacteristic
73#19127617C2211yescharacteristic
74#19127617C2211yescharacteristic
75#19127617C2211yescharacteristic, complemented
76#19127617C2211yescharacteristic, complemented
77#19127617C2211yescharacteristic, complemented
78#19127616C2211yescharacteristic
79#19127616C2211yescharacteristic
80#19127616C2211yescharacteristic
81#19127616C2211yescharacteristic
82#19127616C2211yescharacteristic, complemented
83#19127615C2211yescharacteristic, complemented
84#19127613C2211yescharacteristic, complemented
85#19127613C2211yescharacteristic, complemented
86#19127610C2211yescharacteristic
87#19127610C2211yescharacteristic
88#19127610C2211yescharacteristic
89#19127610C2211yescharacteristic
90#19127609C2211yescharacteristic
91#19127609C2211yescharacteristic
92#19127609C2211yescharacteristic
93#19127609C2211yescharacteristic
94#19127609C2211yescharacteristic, complemented
95#19127605C2211yescharacteristic, complemented
96#19127604C2211yescharacteristic, complemented
97#19127602C2211yescharacteristic, complemented
98#19127602C2211yescharacteristic, complemented
99#19127601C2211yescharacteristic, complemented
100#19127601C2211yescharacteristic, complemented
101#19127601C2211yescharacteristic, complemented
102#19127599C2211yescharacteristic, complemented
103#19127595C2211yescharacteristic, complemented
104#19127594C2211yescharacteristic, complemented
105#19127594C2211yescharacteristic, complemented
106#19127594C2211yescharacteristic, complemented
107#19127592C2211yescharacteristic, complemented
108#19127592C2211yescharacteristic, complemented
109#19127592C2211yescharacteristic, complemented
110#19127591C2211yescharacteristic, complemented
111#19127591C2211yescharacteristic, complemented
112#19127591C2211yescharacteristic, complemented
113#19127591C2211yescharacteristic, complemented
114#19127590C2211yescharacteristic, complemented
115#19127590C2211yescharacteristic, complemented
116#19127589C2211yescharacteristic, complemented
117#19127589C2211yescharacteristic, complemented
118#19127589C2211yescharacteristic, complemented
119#19127589C2211yescharacteristic, complemented
120#19127588C2211yescharacteristic, complemented
121#19127587C2211yescharacteristic, complemented
122#19127587C2211yescharacteristic, complemented
123#19127584C2211yescharacteristic, complemented
124#19127582C2211yescharacteristic, complemented
125#19127581C2211yescharacteristic
126#19127580C2211yescharacteristic
127#19127580C2211yescharacteristic
128#19127580C2211yescharacteristic, complemented
129#19127580C2211yescharacteristic, complemented
130#19127580C2211yescharacteristic, complemented
131#19127579C2211yescharacteristic, complemented
132#19127579C2211yescharacteristic, complemented
133#19127579C2211yescharacteristic, complemented
134#19127579C2211yescharacteristic, complemented
135#19127577C2211yescharacteristic
136#19127577C2211yescharacteristic
137#19127577C2211yescharacteristic
138#19127577C2211yescharacteristic
139#19127577C2211yescharacteristic
140#19127577C2211yescharacteristic
141#19127577C2211yescharacteristic
142#19127577C2211yescharacteristic
143#19127577C2211yescharacteristic, complemented
144#19127577C2211yescharacteristic, complemented
145#19127577C2211yescharacteristic, complemented
146#19127576C2211yescharacteristic
147#19127576C2211yescharacteristic
148#19127575C2211yescharacteristic, complemented
149#19127575C2211yescharacteristic, complemented
150#19127575C2211yescharacteristic, complemented
151#19127575C2211yescharacteristic, complemented
152#19127573C2211yescharacteristic
153#19127572C2211yescharacteristic, complemented
154#19127568C2211yescharacteristic, complemented
155#19127565C2211yescharacteristic, complemented
156#19127563C2211yescharacteristic, complemented
157#19127562C2211yescharacteristic
158#19127562C2211yescharacteristic
159#19127561C2211yescharacteristic, complemented
160#19127560C2211yescharacteristic, complemented
161#19127560C2211yescharacteristic, complemented
162#19127559C2211yescharacteristic
163#19127558C2211yescharacteristic, complemented
164#19127558C2211yescharacteristic, complemented
165#19127557C2211yescharacteristic
166#19127556C2211yescharacteristic
167#19127556C2211yescharacteristic
168C22⋊C4×Dic83C2211yescharacteristic
169C4×C22⋊Dic83C2211yescharacteristic
170C2×C83⋊#95C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C2×#123×C83C2211yescharacteristic, complemented
173C2×#120×C83C2211yescharacteristic
174C2×C4×D4×C83C2211yescharacteristic
175C22×C22⋊C4×C83C2211yescharacteristic
176#399×C83C2211yescharacteristic, complemented
177#397×C83C2211yescharacteristic, complemented
178#394×C83C2211yescharacteristic, complemented
179#394×C83C2211yescharacteristic, complemented
180#388×C83C2211yescharacteristic, complemented
181#388×C83C2211yescharacteristic, complemented
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic, complemented
184#385×C83C2211yescharacteristic
185#380×C83C2211yescharacteristic
186#379×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C22×Dic166C2311yescharacteristic
189C22×D332C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×C22⋊D83—24no—
192C22×C22⋊D83—42no—
193C22×C22⋊D83—42no—
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
203C22×C22⋊D83C2311yescharacteristic
204C23×Dic83C2311yescharacteristic
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C22×C4×D83—42no—
208C22×C4×D83—42no—
209C22×C4×D83—42no—
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215#14581785—42no—
216#14581778—42no—
217#14581776—42no—
218#14581773—42no—
219#14581772—42no—
220#14581772—42no—
221#14581771—42no—
222#14581765—42no—
223#14581765—42no—
224#14581764—42no—
225#14581763—42no—
226#14581762—24no—
227#14581761—42no—
228#14581760—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×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×C22⋊Dic83—42no—
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×(C2×D83)⋊C4—42no—
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×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
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
330C25×C83C2311yescharacteristic
331C22×D4×C83C2311yescharacteristic
332C22×D4×C83C2311yescharacteristic
333C22×D4×C83C2311yescharacteristic
334C23×C4×C83C2311yescharacteristic
335C23×C4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337#123×C83—42no—
338#120×C83—42no—
339C4×D4×C83—42no—
340C2×C4⋊C4×C83C2311yescharacteristic
341C2×C4⋊C4×C83C2311yescharacteristic
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83—42no—
346C2×C22⋊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×C22⋊C4×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—41no—
372C23×D83—41no—
373C23×D83—41no—
374C23×D83—41no—
375C23×D83#4114yes—
376C23×D83C2411yescharacteristic
377C23×D83C2411yescharacteristic
378C23×D83C2411yescharacteristic
379C2×Dic166—22no—
380C2×Dic166—41no—
381C2×Dic166—41no—
382C2×D332—22no—
383C2×D332—22no—
384C2×D332—41no—
385C2×D332—41no—
386C2×D332—41no—
387C2×D332—41no—
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—22no—
396C2×C22⋊D83—22no—
397C2×C22⋊D83—22no—
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—
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—416no—
419C22×Dic83—22no—
420C22×Dic83—22no—
421C22×Dic83—22no—
422C22×Dic83—22no—
423C22×Dic83—22no—
424C22×Dic83—22no—
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
440C22×Dic83C2411yescharacteristic
441C2×C4×D83—22no—
442C2×C4×D83—22no—
443C2×C4×D83—22no—
444C2×C4×D83—22no—
445C2×C4×D83—41no—
446C2×C4×D83—41no—
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—416no—
454C2×C4×D83—41no—
455C2×C4×D83—41no—
456C2×C4×D83—41no—
457C4⋊Dic83—22no—
458C4⋊Dic83—22no—
459C4⋊Dic83—41no—
460C4⋊Dic83—41no—
461C4⋊Dic83—41no—
462C4⋊Dic83—41no—
463C4⋊Dic83—41no—
464Dic83⋊C4—22no—
465Dic83⋊C4—41no—
466Dic83⋊C4—41no—
467Dic83⋊C4—41no—
468Dic83⋊C4—41no—
469Dic83⋊C4—41no—
470Dic83⋊C4—41no—
471Dic83⋊C4—41no—
472Dic83⋊C4—41no—
473Dic83⋊C4—41no—
474C22⋊Dic83—22no—
475C22⋊Dic83—22no—
476C22⋊Dic83—22no—
477C22⋊Dic83—22no—
478C22⋊Dic83—22no—
479C22⋊Dic83—41no—
480C22⋊Dic83—41no—
481C22⋊Dic83—41no—
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—
492(C2×D83)⋊C4—22no—
493(C2×D83)⋊C4—22no—
494(C2×D83)⋊C4—22no—
495(C2×D83)⋊C4—22no—
496(C2×D83)⋊C4—22no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
499(C2×D83)⋊C4—41no—
500(C2×D83)⋊C4—41no—
501(C2×D83)⋊C4—41no—
502(C2×D83)⋊C4—41no—
503(C2×D83)⋊C4—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊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—
516C4×Dic83—41no—
517C4×Dic83—41no—
518C4×Dic83—41no—
519C4×Dic83—41no—
520C4×Dic83—41no—
521C24×C83—22no—
522C24×C83—22no—
523C24×C83—22no—
524C24×C83—41no—
525C24×C83—41no—
526C24×C83—41no—
527C24×C83—41no—
528C24×C83C2411yescharacteristic
529C24×C83C2411yescharacteristic
530C24×C83C2411yescharacteristic
531C24×C83C2411yescharacteristic
532C2×D4×C83—22no—
533C2×D4×C83—22no—
534C2×D4×C83—22no—
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—22no—
542C22×C4×C83—22no—
543C22×C4×C83—22no—
544C22×C4×C83—41no—
545C22×C4×C83—41no—
546C22×C4×C83—41no—
547C22×C4×C83—41no—
548C22×C4×C83—41no—
549C22×C4×C83—41no—
550C22×C4×C83C2411yescharacteristic
551C22×C4×C83C2411yescharacteristic
552C22×C4×C83C2411yescharacteristic
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2411yescharacteristic
555C22×C4×C83C2411yescharacteristic
556C22×C4×C83C2411yescharacteristic
557C22×C4×C83C2411yescharacteristic
558C22×C4×C83C2411yescharacteristic
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C4⋊C4×C83—22no—
562C4⋊C4×C83—41no—
563C4⋊C4×C83—41no—
564C4⋊C4×C83—41no—
565C4⋊C4×C83—41no—
566C22⋊C4×C83—22no—
567C22⋊C4×C83—22no—
568C22⋊C4×C83—22no—
569C22⋊C4×C83—22no—
570C22⋊C4×C83—22no—
571C22⋊C4×C83—22no—
572C22⋊C4×C83—41no—
573C22⋊C4×C83—41no—
574C22⋊C4×C83—41no—
575C22⋊C4×C83—41no—
576C22⋊C4×C83—41no—
577C22⋊C4×C83—41no—
578C22⋊C4×C83—41no—
579C22⋊C4×C83—41no—
580C22⋊C4×C83—41no—
581C22⋊C4×C83—41no—
582C42×C83—41no—
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×C83—21no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83—21no—
608C23×C83—44no—
609C23×C83—44no—
610C23×C83—44no—
611C23×C83—82no—
612C23×C83—82no—
613C23×C83—82no—
614C23×C83—82no—
615C23×C83C2×#4112yes—
616C23×C83H(5,𝔽2)12yes—
617C23×C83H(5,𝔽2)12yes—
618C23×C83C2511yescharacteristic
619C22×D83—28no—
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—21no—
629C22×D83—21no—
630C22×D83—21no—
631C22×D83—21no—
632C22×D83—21no—
633C22×D83—21no—
634C22×D83—21no—
635C22×D83—21no—
636C22×D83—21no—
637C22×D83—21no—
638C22×D83—21no—
639C22×D83—44no—
640C22×D83—44no—
641C22×D83—44no—
642C22×D83—44no—
643C22×D83—44no—
644C22×D83—44no—
645C22×D83C2×#4112yes—
646C22×D83C2×#4112yes—
647D4×C83—44no—
648D4×C83—82no—
649D4×C83—82no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—21no—
679C2×C4×C83—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83—44no—
683C2×C4×C83—82no—
684C2×C4×C83—82no—
685C2×C4×C83H(5,𝔽2)12yes—
686C22⋊D83—44no—
687C22⋊D83—44no—
688C22⋊D83—44no—
689C22⋊D83—44no—
690C22⋊D83—44no—
691C22⋊D83—82no—
692C22⋊D83—82no—
693C22⋊D83—82no—
694C22⋊D83—82no—
695C22⋊D83—82no—
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—21no—
729C2×Dic83—21no—
730C2×Dic83—21no—
731C2×Dic83—21no—
732C2×Dic83—21no—
733C2×Dic83—21no—
734C2×Dic83—44no—
735C2×Dic83—44no—
736C2×Dic83—82no—
737C2×Dic83H(5,𝔽2)12yes—
738D332—82no—
739D332—82no—
740C4×D83—44no—
741C4×D83—44no—
742C4×D83—44no—
743C4×D83—44no—
744C4×D83—82no—
745Dic166—82no—
746C22×C83—22no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—22no—
750C22×C83—22no—
751C22×C83—22no—
752C22×C83—41no—
753C22×C83—41no—
754C22×C83—41no—
755C22×C83—41no—
756C22×C83—41no—
757C22×C83—41no—
758C22×C83—41no—
759C22×C83—41no—
760C22×C83—41no—
761C22×C83—41no—
762C22×C83—41no—
763C22×C83—41no—
764C22×C83—41no—
765C22×C83—41no—
766C22×C83—41no—
767C22×C83—41no—
768C22×C83—41no—
769C22×C83—41no—
770C22×C83—41no—
771C22×C83—41no—
772C22×C83—41no—
773C22×C83—88no—
774C22×C83#53814yes—
775C22×C83C22×#4111yescharacteristic
776C22×C83C2×H(5,𝔽2)11yescharacteristic
777C22×C83C2×H(5,𝔽2)11yescharacteristic
778C22×C83C2×H(5,𝔽2)11yescharacteristic
779C22×C83C2×H(5,𝔽2)11yescharacteristic
780C22×C83#58511yescharacteristic
781C22×C83#58511yescharacteristic
782C2×D83—22no—
783C2×D83—22no—
784C2×D83—22no—
785C2×D83—22no—
786C2×D83—22no—
787C2×D83—22no—
788C2×D83—416no—
789C2×D83—41no—
790C2×D83—41no—
791C2×D83—41no—
792C2×D83—41no—
793C2×D83—41no—
794C2×D83—41no—
795C2×D83—41no—
796C2×D83—41no—
797C2×D83—41no—
798C2×D83—41no—
799C2×D83—41no—
800C2×D83—41no—
801C2×D83—41no—
802C2×D83—41no—
803C2×D83—41no—
804C4×C83—22no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808C4×C83—41no—
809C4×C83—41no—
810C4×C83—41no—
811C4×C83—41no—
812C4×C83—41no—
813C4×C83—41no—
814C4×C83—41no—
815Dic83—22no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822Dic83—41no—
823Dic83—41no—
824Dic83—41no—
825Dic83—41no—
826Dic83—41no—
827Dic83—41no—
828#36758—831nomaximal, Sylow
829C2×C83—24no—
830C2×C83—81no—
831C2×C83—81no—
832C2×C83—81no—
833C2×C83C2×#53811yescharacteristic
834C2×C83#350511yescharacteristic
835C2×C83#350511yescharacteristic
836C2×C83#353211yescharacteristic
837C2×C83#353311yescharacteristic
838C2×C83#354211yescharacteristic
839C2×C83#354211yescharacteristic
840D83—42no—
841D83—42no—
842D83—81no—
843#2848—831no—
844#2847—831no—
845#2797—831no—
846#2781—831no—
847#2779—831no—
848#2778—831no—
849#2778—831no—
850#2756—831no—
851#2753—831no—
852#2749—831no—
853#2741—831no—
854#2730—831no—
855#2714—831no—
856#2703—831no—
857#2702—831no—
858#2696—831no—
859#2688—831no—
860#2676—831no—
861#2613—831no—
862#2613—831no—
863#2493—831no—
864#2488—831no—
865#2480—831no—
866#2472—831no—
867#2425—831no—
868#2424—831no—
869#2419—831no—
870#2418D8311yescharacteristic, complemented
871#2321—831no—
872#2321—831no—
873C2×#386—831no—
874C83#3675811yescharacteristic, complemented, Sylow
875C23×D4—831no—
876C24×C4—831no—
877C2×#126—831no—
878C2×#124—831no—
879C2×#123—831no—
880C2×#123—831no—
881C2×#123C2×D8311yescharacteristic, complemented
882C2×C22⋊Q8—831no—
883C2×C22⋊Q8—831no—
884C2×C22⋊Q8—831no—
885C2×#121—831no—
886C2×#121—831no—
887C2×#121—831no—
888C2×#121—831no—
889C2×#120—831no—
890C2×#120—831no—
891C2×#120—831no—
892C2×#120C2×D8311yescharacteristic
893C2×C4×D4—831no—
894C2×C4×D4C2×D8311yescharacteristic
895C22×C22⋊C4—831no—
896C22×C22⋊C4—831no—
897C22×C22⋊C4C2×D8311yescharacteristic
898#401—831no—
899#400—831no—
900#400—831no—
901#400—831no—
902#400—831no—
903#400—831no—
904#400—831no—
905#399C2×D8311yescharacteristic, complemented
906#398—831no—
907#398—831no—
908#397—831no—
909#397—831no—
910#397—831no—
911#397—831no—
912#397—831no—
913#397—831no—
914#397—831no—
915#397—831no—
916#397C2×D8311yescharacteristic, complemented
917#396—831no—
918#396—831no—
919#396—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#394—831no—
930#394—831no—
931#394—831no—
932#394—831no—
933#394C2×D8311yescharacteristic, complemented
934#394C2×D8311yescharacteristic, complemented
935#393—831no—
936#393—831no—
937#392—831no—
938#392—831no—
939#392—831no—
940#392—831no—
941#392—831no—
942#392—831no—
943#392—831no—
944#392—831no—
945#392—831no—
946#391—831no—
947#390—831no—
948#390—831no—
949#390—831no—
950#390—831no—
951#390—831no—
952#390—831no—
953#389—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, complemented
972#388C2×D8311yescharacteristic, complemented
973#387—831no—
974#387—831no—
975#387—831no—
976#387—831no—
977#387—831no—
978#386—831no—
979#386—831no—
980#386—831no—
981#386—831no—
982#386—831no—
983#386—831no—
984#386—831no—
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#386C2×D8311yescharacteristic
1000#386C2×D8311yescharacteristic, complemented
1001#385—831no—
1002#385—831no—
1003#385—831no—
1004#385—831no—
1005#385—831no—
1006#385—831no—
1007#385—831no—
1008#385—831no—
1009#385C2×D8311yescharacteristic
1010#383—831no—
1011#382—831no—
1012#381—831no—
1013#381—831no—
1014#381—831no—
1015#380—831no—
1016#380—831no—
1017#380—831no—
1018#380—831no—
1019#380—831no—
1020#380—831no—
1021#380C2×D8311yescharacteristic
1022#379—831no—
1023#379—831no—
1024#379—831no—
1025#379C2×D8311yescharacteristic
1026C4×C22⋊C4—831no—
1027C4×C22⋊C4—831no—
1028C2×#95—831no—
1029C2×#95—831no—
1030C25—831no—
1031C25C22×D8311yescharacteristic
1032C22×Q8—831no—
1033C22×D4—3322no—
1034C22×D4—3322no—
1035C22×D4—831no—
1036C22×D4—831no—
1037C22×D4—831no—
1038C22×D4—831no—
1039C22×D4—831no—
1040C22×D4—831no—
1041C22×D4—831no—
1042C22×D4—831no—
1043C22×D4—831no—
1044C22×D4—831no—
1045C22×D4—831no—
1046C22×D4—831no—
1047C22×D4—1664no—
1048C22×D4C22×D8311yescharacteristic
1049C22×D4C22×D8311yescharacteristic
1050C22×D4C22×D8311yescharacteristic
1051C23×C4—3322no—
1052C23×C4—3322no—
1053C23×C4—3322no—
1054C23×C4—831no—
1055C23×C4—831no—
1056C23×C4—831no—
1057C23×C4—831no—
1058C23×C4—831no—
1059C23×C4—831no—
1060C23×C4—831no—
1061C23×C4—831no—
1062C23×C4C22×D8311yescharacteristic
1063C23×C4C22×D8311yescharacteristic
1064C23×C4C22×D8311yescharacteristic
1065#126—3322no—
1066#124—3322no—
1067#123—42no—
1068#123—3322no—
1069#123—3322no—
1070C22⋊Q8—3322no—
1071C22⋊Q8—3322no—
1072C22⋊Q8—3322no—
1073#121—3322no—
1074#121—3322no—
1075#121—3322no—
1076#121—3322no—
1077#120—42no—
1078#120—3322no—
1079#120—1664no—
1080#120—1664no—
1081C4×D4—42no—
1082C4×D4—3322no—
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⋊C4—831no—
1097C2×C4⋊C4—831no—
1098C2×C4⋊C4—831no—
1099C2×C4⋊C4—831no—
1100C2×C4⋊C4C22×D8311yescharacteristic
1101C2×C4⋊C4C22×D8311yescharacteristic
1102C2×C4⋊C4C22×D8311yescharacteristic
1103C2×C4⋊C4C22×D8311yescharacteristic
1104C2×C4⋊C4C22×D8311yescharacteristic
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—3322no—
1107C2×C22⋊C4—3322no—
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—831no—
1144C2×C22⋊C4—831no—
1145C2×C22⋊C4—831no—
1146C2×C22⋊C4—831no—
1147C2×C22⋊C4—831no—
1148C2×C22⋊C4—831no—
1149C2×C22⋊C4—831no—
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×C22⋊C4C22×D8311yescharacteristic
1159C2×C22⋊C4C22×D8311yescharacteristic
1160C2×C22⋊C4C22×D8311yescharacteristic
1161C2×C22⋊C4C22×D8311yescharacteristic
1162C2×C22⋊C4C22×D8311yescharacteristic
1163C2×C22⋊C4C22×D8311yescharacteristic
1164C2×C22⋊C4C22×D8311yescharacteristic
1165C2×C22⋊C4C22×D8311yescharacteristic
1166C2×C42—831no—
1167C2×C42—831no—
1168C2×C42—831no—
1169C2×C42—831no—
1170C2×C42—831no—
1171C2×C42C22×D8311yescharacteristic
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#95—831no—
1199#95—831no—
1200#95—831no—
1201#95—831no—
1202#95—831no—
1203#95—831no—
1204#95—831no—
1205#95—831no—
1206#95C22×D8311yescharacteristic
1207#95C22×D8311yescharacteristic
1208#95C22×D8311yescharacteristic
1209#95C22×D8311yescharacteristic
1210#95C22×D8311yescharacteristic
1211#95C22×D8311yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—3321no—
1220C24—3321no—
1221C24—3321no—
1222C24—3321no—
1223C24—834no—
1224C24—831no—
1225C24—831no—
1226C24—831no—
1227C24—1662no—
1228C24—1662no—
1229C24C23×D8311yescharacteristic
1230C24C23×D8311yescharacteristic
1231C24C23×D8311yescharacteristic
1232C24C23×D8311yescharacteristic
1233C2×Q8—3321no—
1234C2×Q8—3321no—
1235C2×Q8—1662no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—3321no—
1246C2×D4—3321no—
1247C2×D4—3321no—
1248C2×D4—3321no—
1249C2×D4—33216no—
1250C2×D4—3321no—
1251C2×D4—3321no—
1252C2×D4—3321no—
1253C2×D4—3321no—
1254C2×D4—3321no—
1255C2×D4—3321no—
1256C2×D4—3321no—
1257C2×D4—3321no—
1258C2×D4—3321no—
1259C2×D4—3321no—
1260C2×D4—3321no—
1261C2×D4—3321no—
1262C2×D4—3321no—
1263C2×D4—3321no—
1264C2×D4—3321no—
1265C2×D4—3321no—
1266C2×D4—3321no—
1267C2×D4—3321no—
1268C2×D4—3321no—
1269C2×D4—3321no—
1270C2×D4—1662no—
1271C2×D4—1662no—
1272C2×D4—1662no—
1273C2×D4—1662no—
1274C2×D4—1662no—
1275C2×D4—1662no—
1276C2×D4—1662no—
1277C2×D4—1662no—
1278C2×D4—1662no—
1279C2×D4—1662no—
1280C2×D4—1662no—
1281C2×D4—1662no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
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—3321no—
1302C22×C4—33216no—
1303C22×C4—3321no—
1304C22×C4—3321no—
1305C22×C4—3321no—
1306C22×C4—831no—
1307C22×C4—831no—
1308C22×C4—831no—
1309C22×C4—831no—
1310C22×C4—831no—
1311C22×C4—831no—
1312C22×C4—831no—
1313C22×C4—831no—
1314C22×C4—831no—
1315C22×C4—831no—
1316C22×C4—831no—
1317C22×C4—831no—
1318C22×C4—831no—
1319C22×C4—1662no—
1320C22×C4—1662no—
1321C22×C4—1662no—
1322C22×C4—1662no—
1323C22×C4—1662no—
1324C22×C4—1662no—
1325C22×C4—1662no—
1326C22×C4—1662no—
1327C22×C4—1662no—
1328C22×C4—1662no—
1329C22×C4C23×D8311yescharacteristic
1330C22×C4C23×D8311yescharacteristic
1331C22×C4C23×D8311yescharacteristic
1332C22×C4C23×D8311yescharacteristic
1333C22×C4C23×D8311yescharacteristic
1334C22×C4C23×D8311yescharacteristic
1335C22×C4C23×D8311yescharacteristic
1336C22×C4C23×D8311yescharacteristic
1337C22×C4C23×D8311yescharacteristic
1338C22×C4C23×D8311yescharacteristic
1339C22×C4C23×D8311yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—3321no—
1346C4⋊C4—3321no—
1347C4⋊C4—3321no—
1348C4⋊C4—3321no—
1349C4⋊C4—3321no—
1350C4⋊C4—3321no—
1351C4⋊C4—3321no—
1352C4⋊C4—3321no—
1353C4⋊C4—3321no—
1354C4⋊C4—3321no—
1355C4⋊C4—3321no—
1356C4⋊C4—3321no—
1357C4⋊C4—3321no—
1358C4⋊C4—3321no—
1359C4⋊C4—1662no—
1360C4⋊C4—1662no—
1361C4⋊C4—1662no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
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—3321no—
1396C22⋊C4—3321no—
1397C22⋊C4—3321no—
1398C22⋊C4—3321no—
1399C22⋊C4—3321no—
1400C22⋊C4—3321no—
1401C22⋊C4—3321no—
1402C22⋊C4—3321no—
1403C22⋊C4—3321no—
1404C22⋊C4—3321no—
1405C22⋊C4—3321no—
1406C22⋊C4—3321no—
1407C22⋊C4—3321no—
1408C22⋊C4—3321no—
1409C22⋊C4—3321no—
1410C22⋊C4—1662no—
1411C22⋊C4—1662no—
1412C22⋊C4—1662no—
1413C22⋊C4—1662no—
1414C22⋊C4—1662no—
1415C22⋊C4—1662no—
1416C22⋊C4—1662no—
1417C22⋊C4—1662no—
1418C22⋊C4—1662no—
1419C22⋊C4—1662no—
1420C42—41no—
1421C42—3321no—
1422C42—3321no—
1423C42—3321no—
1424C42—3321no—
1425C42—3321no—
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—44no—
1452C23—44no—
1453C23—44no—
1454C23—82no—
1455C23—82no—
1456C23—82no—
1457C23—82no—
1458C23—3324no—
1459C23—3324no—
1460C23—3324no—
1461C23—3324no—
1462C23—3324no—
1463C23—3324no—
1464C23—832no—
1465C23—832no—
1466C23—1661no—
1467C23—1661no—
1468C23—1661no—
1469C23—1661no—
1470C23—1661no—
1471C23—1661no—
1472C23—1661no—
1473C23—1661no—
1474C23—1661no—
1475C23—1661no—
1476C23—1661no—
1477C23—1661no—
1478C23—1661no—
1479C23—1661no—
1480C23—1661no—
1481C23—1661no—
1482C23—1661no—
1483C23—1661no—
1484C23—1661no—
1485C23—1668no—
1486C23#41×D8312yes—
1487C23#1458183712yes—
1488C23#1458183812yes—
1489C23C24×D8311yescharacteristic
1490Q8—6642no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—3324no—
1495D4—3324no—
1496D4—3324no—
1497D4—3324no—
1498D4—3324no—
1499D4—6642no—
1500D4—6642no—
1501D4—6642no—
1502D4—6642no—
1503D4—6642no—
1504D4—6642no—
1505D4—6642no—
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—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—44no—
1539C2×C4—82no—
1540C2×C4—82no—
1541C2×C4—3324no—
1542C2×C4—3324no—
1543C2×C4—3324no—
1544C2×C4—3324no—
1545C2×C4—3324no—
1546C2×C4—3324no—
1547C2×C4—832no—
1548C2×C4—6642no—
1549C2×C4—6642no—
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—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×C4—1661no—
1580C2×C4—1661no—
1581C2×C4—1661no—
1582C2×C4—1661no—
1583C2×C4—1661no—
1584C2×C4—1661no—
1585C2×C4—1661no—
1586C2×C4—1661no—
1587C2×C4—1661no—
1588C2×C4#1458183712yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—88no—
1617C22—33216no—
1618C22—3321no—
1619C22—3321no—
1620C22—3321no—
1621C22—3321no—
1622C22—3321no—
1623C22—3321no—
1624C22—3321no—
1625C22—3321no—
1626C22—3321no—
1627C22—3321no—
1628C22—3321no—
1629C22—3321no—
1630C22—3321no—
1631C22—3321no—
1632C22—3321no—
1633C22—1662no—
1634C22—1662no—
1635C22—1662no—
1636C22—1662no—
1637C22—1662no—
1638C22—1662no—
1639C22#1912828714yes—
1640C22C2×#41×D8311yescharacteristic
1641C22H(5,𝔽2)×D8311yescharacteristic
1642C22C2×#1458183711yescharacteristic
1643C22C2×#1458183711yescharacteristic
1644C22C2×#1458183811yescharacteristic
1645C22#1912853611yescharacteristic
1646C22#1912853711yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—3321no—
1659C4—3321no—
1660C4—3321no—
1661C4—3321no—
1662C4—3321no—
1663C4—3321no—
1664C4—3321no—
1665C4—3321no—
1666C4—3321no—
1667C4—3321no—
1668C4—3321no—
1669C4—3321no—
1670C4—1662no—
1671C2—24no—
1672C2—81no—
1673C2—81no—
1674C2—81no—
1675C2—3322no—
1676C2—3322no—
1677C2—6641no—
1678C2C2×#1912828711yescharacteristic
1679C2#2492129111yescharacteristic
1680C2#2492130111yescharacteristic
1681C2#2492161211yescharacteristic
1682C2#2492163511yescharacteristic
1683C2#2492176411yescharacteristic
1684C2#2492178411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2418C2
hypercenter#2418D83
hypocenterC83#36758
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. #24915751C2semidirect
2. #24915744C2semidirect
3. #24915327C2semidirect
4. #24915131C2semidirect
5. #24915099C2semidirect
6. #24915085C2semidirect
7. #24915079C2semidirect
8. #24914784C2semidirect
9. #24914738C2semidirect
10. #24914691C2semidirect
11. #24914577C2semidirect
12. #24914467C2semidirect
13. #24914265C2semidirect
14. #24914100C2semidirect
15. #24914086C2semidirect
16. #24914009C2semidirect
17. #24913894C2semidirect
18. #24913771C2semidirect
19. #24913178C2semidirect
20. #24913177C2semidirect
21. #24911850C2semidirect
22. #24911787C2semidirect
23. #24911706C2semidirect
24. #24911583C2semidirect
25. #24911008C2semidirect
26. #24910995C2semidirect
27. #24910946C2semidirect
28. #24910120C2semidirect
29. #24910117C2semidirect
30. C2×#19127577C2semidirect
31. C83×#2418C2semidirect
34. C2×#14581785C22semidirect
35. C2×#14581778C22semidirect
38. C2×#14581772C22semidirect
39. C2×#14581772C22semidirect
41. C2×#14581765C22semidirect
42. C2×#14581765C22semidirect
44. C2×#14581763C22semidirect
51. C83⋊#401C22semidirect
52. #19127643C22semidirect
53. #19127643C22semidirect
54. #19127643C22semidirect
55. #19127642C22semidirect
56. #19127640C22semidirect
57. #19127639C22semidirect
58. #19127634C22semidirect
59. #19127631C22semidirect
60. #19127630C22semidirect
61. #19127629C22semidirect
62. #19127629C22semidirect
63. #19127629C22semidirect
64. #19127629C22semidirect
65. #19127627C22semidirect
66. #19127626C22semidirect
67. #19127626C22semidirect
68. #19127624C22semidirect
69. #19127624C22semidirect
70. #19127623C22semidirect
75. #19127617C22semidirect
76. #19127617C22semidirect
77. #19127617C22semidirect
82. #19127616C22semidirect
83. #19127615C22semidirect
84. #19127613C22semidirect
85. #19127613C22semidirect
94. #19127609C22semidirect
95. #19127605C22semidirect
96. #19127604C22semidirect
97. #19127602C22semidirect
98. #19127602C22semidirect
99. #19127601C22semidirect
100. #19127601C22semidirect
101. #19127601C22semidirect
102. #19127599C22semidirect
103. #19127595C22semidirect
104. #19127594C22semidirect
105. #19127594C22semidirect
106. #19127594C22semidirect
107. #19127592C22semidirect
108. #19127592C22semidirect
109. #19127592C22semidirect
110. #19127591C22semidirect
111. #19127591C22semidirect
112. #19127591C22semidirect
113. #19127591C22semidirect
114. #19127590C22semidirect
115. #19127590C22semidirect
116. #19127589C22semidirect
117. #19127589C22semidirect
118. #19127589C22semidirect
119. #19127589C22semidirect
120. #19127588C22semidirect
121. #19127587C22semidirect
122. #19127587C22semidirect
123. #19127584C22semidirect
124. #19127582C22semidirect
128. #19127580C22semidirect
129. #19127580C22semidirect
130. #19127580C22semidirect
131. #19127579C22semidirect
132. #19127579C22semidirect
133. #19127579C22semidirect
134. #19127579C22semidirect
143. #19127577C22semidirect
144. #19127577C22semidirect
145. #19127577C22semidirect
148. #19127575C22semidirect
149. #19127575C22semidirect
150. #19127575C22semidirect
151. #19127575C22semidirect
153. #19127572C22semidirect
154. #19127568C22semidirect
155. #19127565C22semidirect
156. #19127563C22semidirect
159. #19127561C22semidirect
160. #19127560C22semidirect
161. #19127560C22semidirect
163. #19127558C22semidirect
164. #19127558C22semidirect
172. C2×#123×C83C22semidirect
176. #399×C83C22semidirect
177. #397×C83C22semidirect
178. #394×C83C22semidirect
179. #394×C83C22semidirect
180. #388×C83C22semidirect
181. #388×C83C22semidirect
183. #386×C83C22semidirect
870. #2418D83semidirect
874. C83#36758semidirect
881. C2×#123C2×D83semidirect
905. #399C2×D83semidirect
916. #397C2×D83semidirect
933. #394C2×D83semidirect
934. #394C2×D83semidirect
971. #388C2×D83semidirect
972. #388C2×D83semidirect
1000. #386C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157512
#249157442
#249153272
#249151312
#249150992
#249150852
#249150792
#249147842
#249147382
#249146912
#249145772
#249144672
#249142652
#249141002
#249140862
#249140092
#249138942
#249137712
#249131782
#249131772
#249118502
#249117872
#249117062
#249115832
#249110082
#249109952
#249109462
#249101202
#249101172
C2×#191275772
C83×#24182
#3675883