Finite Group Databasebeta

← #35613337

Subgroups — #35613337

Order 21248.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915781C211yesmaximal, characteristic, complemented
2#24915765C211yesmaximal, characteristic, complemented
3#24915445C211yesmaximal, characteristic, complemented
4#24915399C211yesmaximal, characteristic, complemented
5#24915390C211yesmaximal, characteristic, complemented
6#24915186C211yesmaximal, characteristic, complemented
7#24915122C211yesmaximal, characteristic, complemented
8#24915103C211yesmaximal, characteristic, complemented
9#24915080C211yesmaximal, characteristic, complemented
10#24914836C211yesmaximal, characteristic, complemented
11#24914783C211yesmaximal, characteristic, complemented
12#24914781C211yesmaximal, characteristic, complemented
13#24914715C211yesmaximal, characteristic, complemented
14#24914490C211yesmaximal, characteristic, complemented
15#24914280C211yesmaximal, characteristic, complemented
16#24914257C211yesmaximal, characteristic, complemented
17#24913872C211yesmaximal, characteristic, complemented
18#24913237C211yesmaximal, characteristic, complemented
19#24913198C211yesmaximal, characteristic, complemented
20#24912030C211yesmaximal, characteristic, complemented
21#24911587C211yesmaximal, characteristic, complemented
22#24911214C211yesmaximal, characteristic, complemented
23#24911144C211yesmaximal, characteristic, complemented
24#24911074C211yesmaximal, characteristic, complemented
25#24910994C211yesmaximal, characteristic, complemented
26#24910847C211yesmaximal, characteristic, complemented
27#24910783C211yesmaximal, characteristic, complemented
28#24910127C211yesmaximal, characteristic, complemented
29#24910054C211yesmaximal, characteristic, complemented
30#388×D83C211yesmaximal, characteristic, complemented
31C83×#2775C211yesmaximal, characteristic, complemented
32C22×#13050591C2211yescharacteristic
33C2×#14581787C2211yescharacteristic, complemented
34C2×#14581780C2211yescharacteristic, complemented
35C2×#14581778C2211yescharacteristic
36C2×#14581777C2211yescharacteristic
37C2×#14581772C2211yescharacteristic
38C2×#14581767C2211yescharacteristic
39C2×#14581767C2211yescharacteristic
40C2×#14581767C2211yescharacteristic
41C2×#14581762C2211yescharacteristic
42C2×#14581762C2211yescharacteristic
43C2×#14581762C2211yescharacteristic
44C2×#14581754C2211yescharacteristic
45C2×#14581749C2211yescharacteristic
46C2×C4⋊C4×D83C2211yescharacteristic
47C2×C22⋊C4×D83C2211yescharacteristic
48C2×C22⋊C4×D83C2211yescharacteristic
49C2×C22⋊C4×D83C2211yescharacteristic
50C2×C42×D83C2211yescharacteristic
51C83⋊#401C2211yescharacteristic, complemented
52#19127642C2211yescharacteristic, complemented
53#19127641C2211yescharacteristic, complemented
54#19127635C2211yescharacteristic, complemented
55#19127634C2211yescharacteristic, complemented
56#19127630C2211yescharacteristic
57#19127630C2211yescharacteristic, complemented
58#19127629C2211yescharacteristic
59#19127628C2211yescharacteristic
60#19127628C2211yescharacteristic, complemented
61#19127628C2211yescharacteristic, complemented
62#19127627C2211yescharacteristic
63#19127627C2211yescharacteristic, complemented
64#19127626C2211yescharacteristic
65#19127625C2211yescharacteristic
66#19127624C2211yescharacteristic
67#19127621C2211yescharacteristic, complemented
68#19127619C2211yescharacteristic
69#19127619C2211yescharacteristic
70#19127619C2211yescharacteristic
71#19127619C2211yescharacteristic
72#19127619C2211yescharacteristic
73#19127619C2211yescharacteristic, complemented
74#19127618C2211yescharacteristic
75#19127618C2211yescharacteristic
76#19127618C2211yescharacteristic
77#19127618C2211yescharacteristic, complemented
78#19127617C2211yescharacteristic
79#19127617C2211yescharacteristic
80#19127616C2211yescharacteristic
81#19127616C2211yescharacteristic
82#19127616C2211yescharacteristic
83#19127616C2211yescharacteristic
84#19127614C2211yescharacteristic
85#19127612C2211yescharacteristic
86#19127612C2211yescharacteristic, complemented
87#19127611C2211yescharacteristic
88#19127611C2211yescharacteristic
89#19127611C2211yescharacteristic, complemented
90#19127610C2211yescharacteristic
91#19127610C2211yescharacteristic
92#19127610C2211yescharacteristic
93#19127608C2211yescharacteristic, complemented
94#19127606C2211yescharacteristic, complemented
95#19127605C2211yescharacteristic, complemented
96#19127603C2211yescharacteristic
97#19127603C2211yescharacteristic
98#19127603C2211yescharacteristic, complemented
99#19127602C2211yescharacteristic, complemented
100#19127602C2211yescharacteristic, complemented
101#19127601C2211yescharacteristic
102#19127601C2211yescharacteristic
103#19127599C2211yescharacteristic, complemented
104#19127596C2211yescharacteristic, complemented
105#19127595C2211yescharacteristic
106#19127594C2211yescharacteristic
107#19127593C2211yescharacteristic
108#19127593C2211yescharacteristic
109#19127593C2211yescharacteristic, complemented
110#19127593C2211yescharacteristic, complemented
111#19127593C2211yescharacteristic, complemented
112#19127593C2211yescharacteristic, complemented
113#19127593C2211yescharacteristic, complemented
114#19127592C2211yescharacteristic
115#19127592C2211yescharacteristic, complemented
116#19127592C2211yescharacteristic, complemented
117#19127592C2211yescharacteristic, complemented
118#19127591C2211yescharacteristic
119#19127591C2211yescharacteristic
120#19127591C2211yescharacteristic
121#19127591C2211yescharacteristic, complemented
122#19127591C2211yescharacteristic, complemented
123#19127590C2211yescharacteristic
124#19127590C2211yescharacteristic, complemented
125#19127590C2211yescharacteristic, complemented
126#19127589C2211yescharacteristic
127#19127588C2211yescharacteristic, complemented
128#19127588C2211yescharacteristic, complemented
129#19127588C2211yescharacteristic, complemented
130#19127587C2211yescharacteristic, complemented
131#19127583C2211yescharacteristic, complemented
132#19127583C2211yescharacteristic, complemented
133#19127582C2211yescharacteristic, complemented
134#19127579C2211yescharacteristic
135#19127579C2211yescharacteristic
136#19127579C2211yescharacteristic
137#19127579C2211yescharacteristic
138#19127579C2211yescharacteristic
139#19127579C2211yescharacteristic
140#19127579C2211yescharacteristic
141#19127579C2211yescharacteristic
142#19127579C2211yescharacteristic
143#19127579C2211yescharacteristic
144#19127579C2211yescharacteristic
145#19127579C2211yescharacteristic
146#19127579C2211yescharacteristic, complemented
147#19127579C2211yescharacteristic, complemented
148#19127579C2211yescharacteristic, complemented
149#19127577C2211yescharacteristic
150#19127577C2211yescharacteristic
151#19127577C2211yescharacteristic
152#19127575C2211yescharacteristic
153#19127575C2211yescharacteristic
154#19127575C2211yescharacteristic, complemented
155#19127572C2211yescharacteristic
156#19127572C2211yescharacteristic
157#19127572C2211yescharacteristic, complemented
158#19127572C2211yescharacteristic, complemented
159#19127572C2211yescharacteristic, complemented
160#19127568C2211yescharacteristic, complemented
161#19127563C2211yescharacteristic
162#19127563C2211yescharacteristic, complemented
163#19127560C2211yescharacteristic
164#19127560C2211yescharacteristic, complemented
165#19127560C2211yescharacteristic, complemented
166#19127560C2211yescharacteristic, complemented
167#19127560C2211yescharacteristic, complemented
168#19127556C2211yescharacteristic
169C4×(C2×D83)⋊C4C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172#400×C83C2211yescharacteristic, complemented
173#397×C83C2211yescharacteristic
174#397×C83C2211yescharacteristic
175#396×C83C2211yescharacteristic
176#395×C83C2211yescharacteristic, complemented
177#393×C83C2211yescharacteristic
178#391×C83C2211yescharacteristic, complemented
179#389×C83C2211yescharacteristic, complemented
180#388×C83C2211yescharacteristic
181#388×C83C2211yescharacteristic
182#388×C83C2211yescharacteristic
183#387×C83C2211yescharacteristic, complemented
184#387×C83C2211yescharacteristic, complemented
185#383×C83C2211yescharacteristic, complemented
186#382×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C2×#13050591—24no—
189C2×#13050591—42no—
190C2×#13050591—42no—
191C22×Dic166C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×D332C2311yescharacteristic
200C22×D332C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊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
212C22×C4×D83C2311yescharacteristic
213#14581787—42no—
214#14581780—42no—
215#14581778—42no—
216#14581777—24no—
217#14581772—42no—
218#14581767—42no—
219#14581767—42no—
220#14581767—42no—
221#14581762—42no—
222#14581762—42no—
223#14581762—42no—
224#14581754—42no—
225#14581749—42no—
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊Dic83C2311yescharacteristic
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C4⋊C4×D83—42no—
243C2×C22⋊Dic83C2311yescharacteristic
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×(C2×D83)⋊C4C2311yescharacteristic
248C2×(C2×D83)⋊C4C2311yescharacteristic
249C2×(C2×D83)⋊C4C2311yescharacteristic
250C2×(C2×D83)⋊C4C2311yescharacteristic
251C2×(C2×D83)⋊C4C2311yescharacteristic
252C2×(C2×D83)⋊C4C2311yescharacteristic
253C2×(C2×D83)⋊C4C2311yescharacteristic
254C2×(C2×D83)⋊C4C2311yescharacteristic
255C2×(C2×D83)⋊C4C2311yescharacteristic
256C2×(C2×D83)⋊C4C2311yescharacteristic
257C2×(C2×D83)⋊C4C2311yescharacteristic
258C2×(C2×D83)⋊C4C2311yescharacteristic
259C2×(C2×D83)⋊C4C2311yescharacteristic
260C2×(C2×D83)⋊C4C2311yescharacteristic
261C2×(C2×D83)⋊C4C2311yescharacteristic
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
290C22⋊C4×D83—24no—
291C22⋊C4×D83—42no—
292C22⋊C4×D83—42no—
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C2×C4×Dic83C2311yescharacteristic
296C2×C4×Dic83C2311yescharacteristic
297C2×C4×Dic83C2311yescharacteristic
298C2×C4×Dic83C2311yescharacteristic
299C42×D83—42no—
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
328C22×Q8×C83C2311yescharacteristic
329C2×C4⋊C4×C83C2311yescharacteristic
330C2×C4⋊C4×C83C2311yescharacteristic
331C2×C4⋊C4×C83C2311yescharacteristic
332C2×C4⋊C4×C83C2311yescharacteristic
333C2×C4⋊C4×C83C2311yescharacteristic
334C2×C4⋊C4×C83C2311yescharacteristic
335C2×C4⋊C4×C83C2311yescharacteristic
336C2×C4⋊C4×C83C2311yescharacteristic
337C2×C22⋊C4×C83C2311yescharacteristic
338C2×C22⋊C4×C83C2311yescharacteristic
339C2×C22⋊C4×C83C2311yescharacteristic
340C2×C22⋊C4×C83C2311yescharacteristic
341C2×C22⋊C4×C83C2311yescharacteristic
342C2×C22⋊C4×C83C2311yescharacteristic
343C2×C22⋊C4×C83C2311yescharacteristic
344C2×C42×C83C2311yescharacteristic
345C2×C42×C83C2311yescharacteristic
346C2×C42×C83C2311yescharacteristic
347#95×C83C2311yescharacteristic
348#95×C83C2311yescharacteristic
349#95×C83C2311yescharacteristic
350#95×C83C2311yescharacteristic
351#95×C83C2311yescharacteristic
352#95×C83C2311yescharacteristic
353#95×C83C2311yescharacteristic
354#95×C83C2311yescharacteristic
355#95×C83C2311yescharacteristic
356#95×C83C2311yescharacteristic
357#95×C83C2311yescharacteristic
358#95×C83C2311yescharacteristic
359#95×C83C2311yescharacteristic
360#95×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363C23×D83—22no—
364C23×D83—22no—
365C23×D83—22no—
366C23×D83—41no—
367C23×D83—41no—
368C23×D83—41no—
369C23×D83—41no—
370C23×D83C2411yescharacteristic
371C23×D83C2411yescharacteristic
372C23×D83C2411yescharacteristic
373C23×D83C2411yescharacteristic
374C23×D83C2411yescharacteristic
375#13050591—416no—
376C2×Dic166—22no—
377C2×Dic166—41no—
378C2×Dic166—41no—
379C2×D332—22no—
380C2×D332—22no—
381C2×D332—22no—
382C2×D332—22no—
383C2×D332—22no—
384C2×D332—22no—
385C2×D332—22no—
386C2×D332—22no—
387C2×D332—22no—
388C2×D332—22no—
389C2×D332—22no—
390C2×D332—41no—
391C2×D332—41no—
392C2×D332—41no—
393C2×D332—41no—
394C2×D332—41no—
395C2×D332—41no—
396C2×D332—41no—
397C2×D332—41no—
398C2×D332—41no—
399C2×D332—41no—
400C2×D332—41no—
401C2×D332—41no—
402C2×D332—41no—
403C2×D332—41no—
404C2×D332—41no—
405C2×D332—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—
415C22×Dic83C2411yescharacteristic
416C22×Dic83C2411yescharacteristic
417C22×Dic83C2411yescharacteristic
418C22×Dic83C2411yescharacteristic
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C2×C4×D83—22no—
427C2×C4×D83—22no—
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—41no—
437C2×C4×D83—41no—
438C2×C4×D83—41no—
439C2×C4×D83—41no—
440C2×C4×D83—41no—
441C2×C4×D83—41no—
442C2×C4×D83—41no—
443C2×C4×D83—41no—
444C2×C4×D83—41no—
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#4114yes—
453C4⋊Dic83—41no—
454C4⋊Dic83—41no—
455C4⋊Dic83—41no—
456C4⋊Dic83—41no—
457C4⋊Dic83—41no—
458Dic83⋊C4—22no—
459Dic83⋊C4—41no—
460Dic83⋊C4—41no—
461Dic83⋊C4—41no—
462Dic83⋊C4—41no—
463Dic83⋊C4—41no—
464Dic83⋊C4—41no—
465Dic83⋊C4—41no—
466Dic83⋊C4—41no—
467Dic83⋊C4—41no—
468Dic83⋊C4—41no—
469C22⋊Dic83—22no—
470C22⋊Dic83—41no—
471C22⋊Dic83—41no—
472C22⋊Dic83—41no—
473(C2×D83)⋊C4—22no—
474(C2×D83)⋊C4—22no—
475(C2×D83)⋊C4—22no—
476(C2×D83)⋊C4—22no—
477(C2×D83)⋊C4—22no—
478(C2×D83)⋊C4—22no—
479(C2×D83)⋊C4—22no—
480(C2×D83)⋊C4—22no—
481(C2×D83)⋊C4—22no—
482(C2×D83)⋊C4—22no—
483(C2×D83)⋊C4—22no—
484(C2×D83)⋊C4—41no—
485(C2×D83)⋊C4—41no—
486(C2×D83)⋊C4—41no—
487(C2×D83)⋊C4—41no—
488(C2×D83)⋊C4—41no—
489(C2×D83)⋊C4—41no—
490(C2×D83)⋊C4—41no—
491(C2×D83)⋊C4—41no—
492(C2×D83)⋊C4—41no—
493(C2×D83)⋊C4—41no—
494(C2×D83)⋊C4—41no—
495(C2×D83)⋊C4—41no—
496(C2×D83)⋊C4—41no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
499(C2×D83)⋊C4—41no—
500(C2×D83)⋊C4—41no—
501(C2×D83)⋊C4—41no—
502(C2×D83)⋊C4—41no—
503(C2×D83)⋊C4—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊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—22no—
517C4×Dic83—41no—
518C4×Dic83—41no—
519C4×Dic83—41no—
520C4×Dic83—41no—
521C4×Dic83—41no—
522C24×C83C2411yescharacteristic
523C2×Q8×C83—22no—
524C2×Q8×C83—41no—
525C2×Q8×C83—41no—
526C22×C4×C83C2411yescharacteristic
527C22×C4×C83C2411yescharacteristic
528C22×C4×C83C2411yescharacteristic
529C22×C4×C83C2411yescharacteristic
530C22×C4×C83C2411yescharacteristic
531C22×C4×C83C2411yescharacteristic
532C22×C4×C83C2411yescharacteristic
533C22×C4×C83C2411yescharacteristic
534C22×C4×C83C2411yescharacteristic
535C22×C4×C83C2411yescharacteristic
536C22×C4×C83C2411yescharacteristic
537C22×C4×C83C2411yescharacteristic
538C22×C4×C83C2411yescharacteristic
539C22×C4×C83C2411yescharacteristic
540C4⋊C4×C83—22no—
541C4⋊C4×C83—22no—
542C4⋊C4×C83—41no—
543C4⋊C4×C83—41no—
544C4⋊C4×C83—41no—
545C4⋊C4×C83—41no—
546C4⋊C4×C83—41no—
547C4⋊C4×C83—41no—
548C22⋊C4×C83—22no—
549C22⋊C4×C83—22no—
550C22⋊C4×C83—41no—
551C22⋊C4×C83—41no—
552C22⋊C4×C83—41no—
553C22⋊C4×C83—41no—
554C22⋊C4×C83—41no—
555C42×C83—22no—
556C42×C83—41no—
557C42×C83—41no—
558C23×C83—21no—
559C23×C83—21no—
560C23×C83—21no—
561C23×C83—21no—
562C23×C83—21no—
563C23×C83—21no—
564C23×C83—21no—
565C23×C83C2511yescharacteristic
566C22×D83—21no—
567C22×D83—21no—
568C22×D83—21no—
569C22×D83—21no—
570C22×D83—21no—
571C22×D83—21no—
572C22×D83—21no—
573C22×D83—21no—
574C22×D83—21no—
575C22×D83—21no—
576C22×D83—21no—
577C22×D83—21no—
578C22×D83—21no—
579C22×D83—21no—
580C22×D83—21no—
581C22×D83—21no—
582C22×D83—21no—
583C22×D83—21no—
584C22×D83—21no—
585C22×D83—21no—
586C22×D83—21no—
587C22×D83—21no—
588C22×D83—21no—
589C22×D83—21no—
590C22×D83—21no—
591C22×D83—21no—
592C22×D83—21no—
593C22×D83—21no—
594C22×D83—21no—
595C22×D83—21no—
596C22×D83—21no—
597C22×D83—21no—
598C22×D83—44no—
599C22×D83—44no—
600C22×D83—44no—
601C22×D83—82no—
602C22×D83—82no—
603C22×D83—82no—
604C22×D83—82no—
605C22×D83C2×#4112yes—
606C22×D83H(5,𝔽2)12yes—
607C22×D83H(5,𝔽2)12yes—
608Q8×C83—44no—
609C2×C4×C83—21no—
610C2×C4×C83—21no—
611C2×C4×C83—21no—
612C2×C4×C83—21no—
613C2×C4×C83—21no—
614C2×C4×C83—21no—
615C2×C4×C83—21no—
616C2×C4×C83—21no—
617C2×C4×C83—21no—
618C2×C4×C83—21no—
619C2×C4×C83—21no—
620C2×C4×C83—21no—
621C2×C4×C83—21no—
622C2×C4×C83—21no—
623C2×C4×C83—21no—
624C2×C4×C83—21no—
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×C83C2×#4112yes—
650C2×C4×C83H(5,𝔽2)12yes—
651C22⋊D83—82no—
652C22⋊D83—82no—
653C22⋊D83—82no—
654C2×Dic83—21no—
655C2×Dic83—21no—
656C2×Dic83—21no—
657C2×Dic83—21no—
658C2×Dic83—21no—
659C2×Dic83—21no—
660C2×Dic83—21no—
661C2×Dic83—21no—
662C2×Dic83—21no—
663C2×Dic83—21no—
664C2×Dic83—21no—
665C2×Dic83—21no—
666C2×Dic83—21no—
667C2×Dic83—21no—
668C2×Dic83—21no—
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×Dic83C2×#4112yes—
687D332—44no—
688D332—44no—
689D332—44no—
690D332—44no—
691D332—82no—
692D332—82no—
693D332—82no—
694D332—82no—
695D332—82no—
696C4×D83—28no—
697C4×D83—44no—
698C4×D83—44no—
699C4×D83—44no—
700C4×D83—44no—
701C4×D83—44no—
702C4×D83—82no—
703C4×D83—82no—
704C4×D83—82no—
705Dic166—82no—
706C22×C83—41no—
707C22×C83—41no—
708C22×C83—41no—
709C22×C83—41no—
710C22×C83—41no—
711C22×C83—41no—
712C22×C83—41no—
713C22×C83C22×#4111yescharacteristic
714C22×C83C2×H(5,𝔽2)11yescharacteristic
715C22×C83C2×H(5,𝔽2)11yescharacteristic
716C22×C83C2×H(5,𝔽2)11yescharacteristic
717C22×C83#58511yescharacteristic
718C22×C83#58511yescharacteristic
719C22×C83#58511yescharacteristic
720C2×D83—22no—
721C2×D83—22no—
722C2×D83—22no—
723C2×D83—22no—
724C2×D83—22no—
725C2×D83—22no—
726C2×D83—41no—
727C2×D83—41no—
728C2×D83—41no—
729C2×D83—41no—
730C2×D83—41no—
731C2×D83—41no—
732C2×D83—41no—
733C2×D83—41no—
734C2×D83—41no—
735C2×D83—41no—
736C2×D83—41no—
737C2×D83—41no—
738C2×D83—41no—
739C2×D83—41no—
740C2×D83—41no—
741C2×D83—41no—
742C2×D83—41no—
743C2×D83—41no—
744C2×D83—41no—
745C2×D83—41no—
746C2×D83—41no—
747C2×D83—41no—
748C2×D83—41no—
749C2×D83—41no—
750C2×D83—41no—
751C2×D83—41no—
752C2×D83—41no—
753C2×D83—41no—
754C2×D83—88no—
755C2×D83#53814yes—
756C4×C83—22no—
757C4×C83—22no—
758C4×C83—41no—
759C4×C83—41no—
760C4×C83—41no—
761C4×C83—41no—
762C4×C83—41no—
763C4×C83—41no—
764C4×C83—41no—
765C4×C83—41no—
766C4×C83—41no—
767C4×C83—41no—
768C4×C83—41no—
769C4×C83—41no—
770Dic83—22no—
771Dic83—41no—
772Dic83—41no—
773Dic83—41no—
774Dic83—41no—
775Dic83—41no—
776Dic83—41no—
777Dic83—41no—
778Dic83—41no—
779Dic83—41no—
780Dic83—41no—
781#36795—831nomaximal, Sylow
782C2×C83—81no—
783C2×C83C2×#53811yescharacteristic
784C2×C83#349311yescharacteristic
785C2×C83#350611yescharacteristic
786C2×C83#353411yescharacteristic
787C2×C83#354211yescharacteristic
788C2×C83#354511yescharacteristic
789C2×C83#356011yescharacteristic
790D83—24no—
791D83—81no—
792D83—81no—
793D83—81no—
794D83—81no—
795#2852—831no—
796#2850—831no—
797#2808—831no—
798#2803—831no—
799#2803—831no—
800#2786—831no—
801#2781—831no—
802#2779—831no—
803#2778—831no—
804#2775D8311yescharacteristic, complemented
805#2759—831no—
806#2756—831no—
807#2756—831no—
808#2751—831no—
809#2733—831no—
810#2715—831no—
811#2714—831no—
812#2686—831no—
813#2622—831no—
814#2617—831no—
815#2510—831no—
816#2472—831no—
817#2444—831no—
818#2438—831no—
819#2430—831no—
820#2424—831no—
821#2411—831no—
822#2404—831no—
823#2322—831no—
824#2311—831no—
825C2×#388—831no—
826C83#3679511yescharacteristic, complemented, Sylow
827C22×#41—831no—
828C2×#126—831no—
829C2×#124—831no—
830C2×#124—831no—
831C2×#123—831no—
832C2×C22⋊Q8—831no—
833C2×#121—831no—
834C2×#121—831no—
835C2×#121—831no—
836C2×#120—831no—
837C2×#120—831no—
838C2×#120—831no—
839C2×C4×D4—831no—
840C2×#117—831no—
841C22×C4⋊C4—831no—
842C22×C22⋊C4—831no—
843C22×C22⋊C4—831no—
844C22×C22⋊C4—831no—
845C22×C42—831no—
846#401—831no—
847#400—831no—
848#400—831no—
849#400C2×D8311yescharacteristic, complemented
850#398—831no—
851#398—831no—
852#397—831no—
853#397—831no—
854#397—831no—
855#397—831no—
856#397—831no—
857#397—831no—
858#397—831no—
859#397—831no—
860#397—831no—
861#397C2×D8311yescharacteristic
862#397C2×D8311yescharacteristic
863#396—831no—
864#396—831no—
865#396C2×D8311yescharacteristic
866#395—831no—
867#395C2×D8311yescharacteristic, complemented
868#394—831no—
869#394—831no—
870#394—831no—
871#394—831no—
872#394—831no—
873#394—831no—
874#394—831no—
875#394—831no—
876#394—831no—
877#394—831no—
878#394—831no—
879#394—831no—
880#394—831no—
881#394—831no—
882#394—831no—
883#394—831no—
884#393—831no—
885#393—831no—
886#393—831no—
887#393C2×D8311yescharacteristic
888#392—831no—
889#392—831no—
890#392—831no—
891#392—831no—
892#392—831no—
893#392—831no—
894#391—831no—
895#391—831no—
896#391—831no—
897#391C2×D8311yescharacteristic, complemented
898#390—831no—
899#390—831no—
900#390—831no—
901#390—831no—
902#390—831no—
903#390—831no—
904#390—831no—
905#389—831no—
906#389—831no—
907#389C2×D8311yescharacteristic, complemented
908#388—831no—
909#388—831no—
910#388—831no—
911#388—831no—
912#388—831no—
913#388—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388—831no—
930#388C2×D8311yescharacteristic
931#388C2×D8311yescharacteristic
932#388C2×D8311yescharacteristic
933#387—831no—
934#387—831no—
935#387—831no—
936#387—831no—
937#387—831no—
938#387—831no—
939#387—831no—
940#387C2×D8311yescharacteristic, complemented
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#385—831no—
961#385—831no—
962#385—831no—
963#385—831no—
964#385—831no—
965#385—831no—
966#385—831no—
967#385—831no—
968#383—831no—
969#383C2×D8311yescharacteristic, complemented
970#382C2×D8311yescharacteristic, complemented
971#381—831no—
972#381—831no—
973#380—831no—
974#380—831no—
975#380—831no—
976#380—831no—
977#380—831no—
978#379—831no—
979C4×C22⋊C4—831no—
980C2×#95—831no—
981C2×#95—831no—
982C25—831no—
983C2×#41—3322no—
984C2×#41—3322no—
985C2×#41—1664no—
986C22×Q8—831no—
987C22×Q8C22×D8311yescharacteristic
988C22×D4—831no—
989C22×D4—831no—
990C22×D4—831no—
991C22×D4—831no—
992C22×D4—831no—
993C22×D4—831no—
994C22×D4—831no—
995C22×D4—831no—
996C22×D4—831no—
997C22×D4—831no—
998C22×D4—831no—
999C22×D4—831no—
1000C23×C4—831no—
1001C23×C4—831no—
1002C23×C4—831no—
1003C23×C4—831no—
1004C23×C4—831no—
1005C23×C4—831no—
1006C23×C4—831no—
1007C23×C4—831no—
1008C23×C4—831no—
1009#126—3322no—
1010#124—3322no—
1011#124—3322no—
1012#123—1664no—
1013C22⋊Q8—3322no—
1014#121—3322no—
1015#121—3322no—
1016#121—3322no—
1017#120—3322no—
1018#120—3322no—
1019#120—3322no—
1020C4×D4—3322no—
1021#117—3322no—
1022C2×C4⋊C4—3322no—
1023C2×C4⋊C4—831no—
1024C2×C4⋊C4—831no—
1025C2×C4⋊C4—831no—
1026C2×C4⋊C4—831no—
1027C2×C4⋊C4—831no—
1028C2×C4⋊C4—831no—
1029C2×C4⋊C4—831no—
1030C2×C4⋊C4—831no—
1031C2×C4⋊C4—831no—
1032C2×C4⋊C4—831no—
1033C2×C4⋊C4—831no—
1034C2×C4⋊C4—831no—
1035C2×C4⋊C4—831no—
1036C2×C4⋊C4—831no—
1037C2×C4⋊C4—831no—
1038C2×C4⋊C4—831no—
1039C2×C4⋊C4C22×D8311yescharacteristic
1040C2×C4⋊C4C22×D8311yescharacteristic
1041C2×C4⋊C4C22×D8311yescharacteristic
1042C2×C4⋊C4C22×D8311yescharacteristic
1043C2×C4⋊C4C22×D8311yescharacteristic
1044C2×C4⋊C4C22×D8311yescharacteristic
1045C2×C4⋊C4C22×D8311yescharacteristic
1046C2×C4⋊C4C22×D8311yescharacteristic
1047C2×C22⋊C4—3322no—
1048C2×C22⋊C4—3322no—
1049C2×C22⋊C4—831no—
1050C2×C22⋊C4—831no—
1051C2×C22⋊C4—831no—
1052C2×C22⋊C4—831no—
1053C2×C22⋊C4—831no—
1054C2×C22⋊C4—831no—
1055C2×C22⋊C4—831no—
1056C2×C22⋊C4—831no—
1057C2×C22⋊C4—831no—
1058C2×C22⋊C4—831no—
1059C2×C22⋊C4—831no—
1060C2×C22⋊C4—831no—
1061C2×C22⋊C4—831no—
1062C2×C22⋊C4—831no—
1063C2×C22⋊C4—831no—
1064C2×C22⋊C4—831no—
1065C2×C22⋊C4—831no—
1066C2×C22⋊C4—831no—
1067C2×C22⋊C4—831no—
1068C2×C22⋊C4—831no—
1069C2×C22⋊C4—831no—
1070C2×C22⋊C4—831no—
1071C2×C22⋊C4—831no—
1072C2×C22⋊C4—831no—
1073C2×C22⋊C4—831no—
1074C2×C22⋊C4—831no—
1075C2×C22⋊C4—831no—
1076C2×C22⋊C4—831no—
1077C2×C22⋊C4—831no—
1078C2×C22⋊C4—831no—
1079C2×C22⋊C4—831no—
1080C2×C22⋊C4—831no—
1081C2×C22⋊C4—831no—
1082C2×C22⋊C4—831no—
1083C2×C22⋊C4—831no—
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—1664no—
1097C2×C22⋊C4C22×D8311yescharacteristic
1098C2×C22⋊C4C22×D8311yescharacteristic
1099C2×C22⋊C4C22×D8311yescharacteristic
1100C2×C22⋊C4C22×D8311yescharacteristic
1101C2×C22⋊C4C22×D8311yescharacteristic
1102C2×C22⋊C4C22×D8311yescharacteristic
1103C2×C22⋊C4C22×D8311yescharacteristic
1104C2×C42—3322no—
1105C2×C42—831no—
1106C2×C42—831no—
1107C2×C42—831no—
1108C2×C42—831no—
1109C2×C42—831no—
1110C2×C42—831no—
1111C2×C42C22×D8311yescharacteristic
1112C2×C42C22×D8311yescharacteristic
1113C2×C42C22×D8311yescharacteristic
1114#95—831no—
1115#95—831no—
1116#95—831no—
1117#95—831no—
1118#95—831no—
1119#95—831no—
1120#95—831no—
1121#95—831no—
1122#95—831no—
1123#95—831no—
1124#95—831no—
1125#95—831no—
1126#95—831no—
1127#95—831no—
1128#95—831no—
1129#95—831no—
1130#95—831no—
1131#95—831no—
1132#95—831no—
1133#95—831no—
1134#95—831no—
1135#95—831no—
1136#95—831no—
1137#95—831no—
1138#95—831no—
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95C22×D8311yescharacteristic
1143#95C22×D8311yescharacteristic
1144#95C22×D8311yescharacteristic
1145#95C22×D8311yescharacteristic
1146#95C22×D8311yescharacteristic
1147#95C22×D8311yescharacteristic
1148#95C22×D8311yescharacteristic
1149#95C22×D8311yescharacteristic
1150#95C22×D8311yescharacteristic
1151#95C22×D8311yescharacteristic
1152#95C22×D8311yescharacteristic
1153#95C22×D8311yescharacteristic
1154#95C22×D8311yescharacteristic
1155#95C22×D8311yescharacteristic
1156#95C22×D8311yescharacteristic
1157#95C22×D8311yescharacteristic
1158C24—3321no—
1159C24—3321no—
1160C24—3321no—
1161C24—3321no—
1162C24—831no—
1163C24—831no—
1164C24—831no—
1165C24—831no—
1166C24—831no—
1167C24—1662no—
1168C24—1662no—
1169C24—1662no—
1170C24C23×D8311yescharacteristic
1171#41—33216no—
1172C2×Q8—22no—
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8—3321no—
1176C2×Q8—3321no—
1177C2×Q8—1662no—
1178C2×D4—3321no—
1179C2×D4—3321no—
1180C2×D4—3321no—
1181C2×D4—3321no—
1182C2×D4—3321no—
1183C2×D4—3321no—
1184C2×D4—3321no—
1185C2×D4—3321no—
1186C2×D4—3321no—
1187C2×D4—3321no—
1188C2×D4—3321no—
1189C2×D4—3321no—
1190C2×D4—3321no—
1191C2×D4—3321no—
1192C2×D4—3321no—
1193C2×D4—3321no—
1194C2×D4—3321no—
1195C2×D4—3321no—
1196C2×D4—3321no—
1197C2×D4—3321no—
1198C2×D4—3321no—
1199C2×D4—3321no—
1200C2×D4—3321no—
1201C2×D4—3321no—
1202C2×D4—3321no—
1203C2×D4—1662no—
1204C2×D4—1662no—
1205C2×D4—1662no—
1206C2×D4—1662no—
1207C2×D4—1662no—
1208C2×D4—1662no—
1209C2×D4—1662no—
1210C2×D4—1662no—
1211C2×D4—1662no—
1212C2×D4—1662no—
1213C2×D4—1662no—
1214C22×C4—3321no—
1215C22×C4—3321no—
1216C22×C4—3321no—
1217C22×C4—3321no—
1218C22×C4—3321no—
1219C22×C4—3321no—
1220C22×C4—3321no—
1221C22×C4—3321no—
1222C22×C4—3321no—
1223C22×C4—3321no—
1224C22×C4—3321no—
1225C22×C4—3321no—
1226C22×C4—3321no—
1227C22×C4—3321no—
1228C22×C4—3321no—
1229C22×C4—3321no—
1230C22×C4—831no—
1231C22×C4—834no—
1232C22×C4—831no—
1233C22×C4—831no—
1234C22×C4—831no—
1235C22×C4—831no—
1236C22×C4—831no—
1237C22×C4—831no—
1238C22×C4—831no—
1239C22×C4—831no—
1240C22×C4—831no—
1241C22×C4—831no—
1242C22×C4—1662no—
1243C22×C4—1662no—
1244C22×C4—1662no—
1245C22×C4—1662no—
1246C22×C4—1662no—
1247C22×C4—1662no—
1248C22×C4—1662no—
1249C22×C4—1662no—
1250C22×C4—1662no—
1251C22×C4—1662no—
1252C22×C4C23×D8311yescharacteristic
1253C22×C4C23×D8311yescharacteristic
1254C22×C4C23×D8311yescharacteristic
1255C22×C4C23×D8311yescharacteristic
1256C22×C4C23×D8311yescharacteristic
1257C22×C4C23×D8311yescharacteristic
1258C22×C4C23×D8311yescharacteristic
1259C22×C4C23×D8311yescharacteristic
1260C22×C4C23×D8311yescharacteristic
1261C22×C4C23×D8311yescharacteristic
1262C22×C4C23×D8311yescharacteristic
1263C22×C4C23×D8311yescharacteristic
1264C22×C4C23×D8311yescharacteristic
1265C22×C4C23×D8311yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—3321no—
1275C4⋊C4—3321no—
1276C4⋊C4—3321no—
1277C4⋊C4—3321no—
1278C4⋊C4—3321no—
1279C4⋊C4—3321no—
1280C4⋊C4—3321no—
1281C4⋊C4—3321no—
1282C4⋊C4—3321no—
1283C4⋊C4—3321no—
1284C4⋊C4—3321no—
1285C4⋊C4—3321no—
1286C4⋊C4—3321no—
1287C4⋊C4—3321no—
1288C4⋊C4—3321no—
1289C4⋊C4—1662no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—3321no—
1298C22⋊C4—3321no—
1299C22⋊C4—3321no—
1300C22⋊C4—3321no—
1301C22⋊C4—3321no—
1302C22⋊C4—3321no—
1303C22⋊C4—3321no—
1304C22⋊C4—3321no—
1305C22⋊C4—3321no—
1306C22⋊C4—3321no—
1307C22⋊C4—3321no—
1308C22⋊C4—3321no—
1309C22⋊C4—3321no—
1310C22⋊C4—3321no—
1311C22⋊C4—3321no—
1312C22⋊C4—3321no—
1313C22⋊C4—3321no—
1314C22⋊C4—3321no—
1315C22⋊C4—3321no—
1316C22⋊C4—3321no—
1317C22⋊C4—3321no—
1318C22⋊C4—3321no—
1319C22⋊C4—3321no—
1320C22⋊C4—3321no—
1321C22⋊C4—3321no—
1322C22⋊C4—3321no—
1323C22⋊C4—3321no—
1324C22⋊C4—3321no—
1325C22⋊C4—3321no—
1326C22⋊C4—3321no—
1327C22⋊C4—3321no—
1328C22⋊C4—3321no—
1329C22⋊C4—3321no—
1330C22⋊C4—3321no—
1331C22⋊C4—3321no—
1332C22⋊C4—1662no—
1333C22⋊C4—1662no—
1334C22⋊C4—1662no—
1335C22⋊C4—1662no—
1336C22⋊C4—1662no—
1337C22⋊C4—1662no—
1338C22⋊C4—1662no—
1339C22⋊C4—1662no—
1340C22⋊C4—1662no—
1341C22⋊C4—1662no—
1342C22⋊C4—1662no—
1343C22⋊C4—1662no—
1344C42—22no—
1345C42—41no—
1346C42—41no—
1347C42—3321no—
1348C42—3321no—
1349C42—3321no—
1350C42—3321no—
1351C42—3321no—
1352C42—1662no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—3324no—
1361C23—3324no—
1362C23—3324no—
1363C23—832no—
1364C23—832no—
1365C23—832no—
1366C23—6642no—
1367C23—6642no—
1368C23—6642no—
1369C23—6642no—
1370C23—1661no—
1371C23—1661no—
1372C23—1661no—
1373C23—1661no—
1374C23—1661no—
1375C23—1661no—
1376C23—1661no—
1377C23—1661no—
1378C23—1661no—
1379C23—1661no—
1380C23—1661no—
1381C23—1661no—
1382C23—1661no—
1383C23—1661no—
1384C23—1661no—
1385C23—1661no—
1386C23—1661no—
1387C23—1661no—
1388C23—1661no—
1389C23—1661no—
1390C23—1661no—
1391C23—1661no—
1392C23—1661no—
1393C23—1661no—
1394C23—1661no—
1395C23—1661no—
1396C23—1661no—
1397C23—1661no—
1398C23—1661no—
1399C23—1661no—
1400C23—1661no—
1401C23—1661no—
1402C23C24×D8311yescharacteristic
1403Q8—44no—
1404Q8—6642no—
1405D4—3324no—
1406D4—3324no—
1407D4—3324no—
1408D4—3324no—
1409D4—6642no—
1410D4—6642no—
1411D4—6642no—
1412D4—6642no—
1413D4—6642no—
1414D4—6642no—
1415D4—6642no—
1416D4—6642no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
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—3324no—
1458C2×C4—3324no—
1459C2×C4—3324no—
1460C2×C4—3324no—
1461C2×C4—3324no—
1462C2×C4—832no—
1463C2×C4—6642no—
1464C2×C4—6642no—
1465C2×C4—6642no—
1466C2×C4—1668no—
1467C2×C4—1661no—
1468C2×C4—1661no—
1469C2×C4—1661no—
1470C2×C4—1661no—
1471C2×C4—1661no—
1472C2×C4—1661no—
1473C2×C4—1661no—
1474C2×C4—1661no—
1475C2×C4—1661no—
1476C2×C4—1661no—
1477C2×C4—1661no—
1478C2×C4—1661no—
1479C2×C4—1661no—
1480C2×C4—1661no—
1481C2×C4—1661no—
1482C2×C4—1661no—
1483C2×C4—1661no—
1484C2×C4—1661no—
1485C2×C4—1661no—
1486C2×C4—1661no—
1487C2×C4—1661no—
1488C2×C4—1661no—
1489C2×C4—1661no—
1490C2×C4—1661no—
1491C2×C4—1661no—
1492C2×C4—1661no—
1493C2×C4—1661no—
1494C2×C4—1661no—
1495C2×C4—1661no—
1496C2×C4—1661no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4#41×D8312yes—
1500C2×C4#1458183812yes—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—3321no—
1509C22—3321no—
1510C22—3321no—
1511C22—3321no—
1512C22—3321no—
1513C22—3321no—
1514C22—3321no—
1515C22—3321no—
1516C22—3321no—
1517C22—3321no—
1518C22—3321no—
1519C22—3321no—
1520C22—3321no—
1521C22—3321no—
1522C22—3321no—
1523C22—3321no—
1524C22—3321no—
1525C22—3321no—
1526C22—3321no—
1527C22—3321no—
1528C22—3321no—
1529C22—3321no—
1530C22—3321no—
1531C22—3321no—
1532C22—3321no—
1533C22—3321no—
1534C22—3321no—
1535C22—3321no—
1536C22—834no—
1537C22—6648no—
1538C22—1662no—
1539C22—1662no—
1540C22—1662no—
1541C22—1662no—
1542C22—1662no—
1543C22—1662no—
1544C22C2×#41×D8311yescharacteristic
1545C22H(5,𝔽2)×D8311yescharacteristic
1546C22H(5,𝔽2)×D8311yescharacteristic
1547C22C2×#1458183811yescharacteristic
1548C22#1912853711yescharacteristic
1549C22#1912853811yescharacteristic
1550C22#1912853811yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—3321no—
1566C4—3321no—
1567C4—3321no—
1568C4—3321no—
1569C4—3321no—
1570C4—3321no—
1571C4—3321no—
1572C4—3321no—
1573C4—3321no—
1574C4—3321no—
1575C4—1662no—
1576C2—81no—
1577C2—6641no—
1578C2—6641no—
1579C2—6641no—
1580C2—6641no—
1581C2—1664no—
1582C2#538×D8311yescharacteristic
1583C2#2492118111yescharacteristic
1584C2#2492131611yescharacteristic
1585C2#2492165111yescharacteristic
1586C2#2492178611yescharacteristic
1587C2#2492182111yescharacteristic
1588C2#2492201811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2775C2
hypercenter#2775D83
hypocenterC83#36795
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2775

Complements

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

NH ≅ G/Ntype
1. #24915781C2semidirect
2. #24915765C2semidirect
3. #24915445C2semidirect
4. #24915399C2semidirect
5. #24915390C2semidirect
6. #24915186C2semidirect
7. #24915122C2semidirect
8. #24915103C2semidirect
9. #24915080C2semidirect
10. #24914836C2semidirect
11. #24914783C2semidirect
12. #24914781C2semidirect
13. #24914715C2semidirect
14. #24914490C2semidirect
15. #24914280C2semidirect
16. #24914257C2semidirect
17. #24913872C2semidirect
18. #24913237C2semidirect
19. #24913198C2semidirect
20. #24912030C2semidirect
21. #24911587C2semidirect
22. #24911214C2semidirect
23. #24911144C2semidirect
24. #24911074C2semidirect
25. #24910994C2semidirect
26. #24910847C2semidirect
27. #24910783C2semidirect
28. #24910127C2semidirect
29. #24910054C2semidirect
30. #388×D83C2semidirect
31. C83×#2775C2semidirect
33. C2×#14581787C22semidirect
34. C2×#14581780C22semidirect
51. C83⋊#401C22semidirect
52. #19127642C22semidirect
53. #19127641C22semidirect
54. #19127635C22semidirect
55. #19127634C22semidirect
57. #19127630C22semidirect
60. #19127628C22semidirect
61. #19127628C22semidirect
63. #19127627C22semidirect
67. #19127621C22semidirect
73. #19127619C22semidirect
77. #19127618C22semidirect
86. #19127612C22semidirect
89. #19127611C22semidirect
93. #19127608C22semidirect
94. #19127606C22semidirect
95. #19127605C22semidirect
98. #19127603C22semidirect
99. #19127602C22semidirect
100. #19127602C22semidirect
103. #19127599C22semidirect
104. #19127596C22semidirect
109. #19127593C22semidirect
110. #19127593C22semidirect
111. #19127593C22semidirect
112. #19127593C22semidirect
113. #19127593C22semidirect
115. #19127592C22semidirect
116. #19127592C22semidirect
117. #19127592C22semidirect
121. #19127591C22semidirect
122. #19127591C22semidirect
124. #19127590C22semidirect
125. #19127590C22semidirect
127. #19127588C22semidirect
128. #19127588C22semidirect
129. #19127588C22semidirect
130. #19127587C22semidirect
131. #19127583C22semidirect
132. #19127583C22semidirect
133. #19127582C22semidirect
146. #19127579C22semidirect
147. #19127579C22semidirect
148. #19127579C22semidirect
154. #19127575C22semidirect
157. #19127572C22semidirect
158. #19127572C22semidirect
159. #19127572C22semidirect
160. #19127568C22semidirect
162. #19127563C22semidirect
164. #19127560C22semidirect
165. #19127560C22semidirect
166. #19127560C22semidirect
167. #19127560C22semidirect
172. #400×C83C22semidirect
176. #395×C83C22semidirect
178. #391×C83C22semidirect
179. #389×C83C22semidirect
183. #387×C83C22semidirect
184. #387×C83C22semidirect
185. #383×C83C22semidirect
186. #382×C83C22semidirect
804. #2775D83semidirect
826. C83#36795semidirect
849. #400C2×D83semidirect
867. #395C2×D83semidirect
897. #391C2×D83semidirect
907. #389C2×D83semidirect
940. #387C2×D83semidirect
941. #387C2×D83semidirect
969. #383C2×D83semidirect
970. #382C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157812
#249157652
#249154452
#249153992
#249153902
#249151862
#249151222
#249151032
#249150802
#249148362
#249147832
#249147812
#249147152
#249144902
#249142802
#249142572
#249138722
#249132372
#249131982
#249120302
#249115872
#249112142
#249111442
#249110742
#249109942
#249108472
#249107832
#249101272
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