Finite Group Databasebeta

← #35611718

Subgroups — #35611718

Order 21248.

1962 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#24915758C211yesmaximal, characteristic, complemented
2#24915744C211yesmaximal, characteristic, complemented
3#24914659C211yesmaximal, characteristic, complemented
4#24914564C211yesmaximal, characteristic, complemented
5#24914541C211yesmaximal, characteristic, complemented
6#24914523C211yesmaximal, characteristic, complemented
7#24914519C211yesmaximal, characteristic, complemented
8#24914297C211yesmaximal, characteristic, complemented
9#24914103C211yesmaximal, characteristic, complemented
10#24914025C211yesmaximal, characteristic, complemented
11#24914010C211yesmaximal, characteristic, complemented
12#24913973C211yesmaximal, characteristic, complemented
13#24913892C211yesmaximal, characteristic, complemented
14#24913870C211yesmaximal, characteristic, complemented
15#24913845C211yesmaximal, characteristic, complemented
16#24913794C211yesmaximal, characteristic, complemented
17#24913716C211yesmaximal, characteristic, complemented
18#24913687C211yesmaximal, characteristic, complemented
19#24913639C211yesmaximal, characteristic, complemented
20#24913595C211yesmaximal, characteristic, complemented
21#24912796C211yesmaximal, characteristic, complemented
22#24912559C211yesmaximal, characteristic, complemented
23#24912556C211yesmaximal, characteristic, complemented
24#24911669C211yesmaximal, characteristic, complemented
25#24911651C211yesmaximal, characteristic, complemented
26#24911619C211yesmaximal, characteristic, complemented
27#24911581C211yesmaximal, characteristic, complemented
28#24910247C211yesmaximal, characteristic, complemented
29#24910226C211yesmaximal, characteristic, complemented
30#24909844C211yesmaximal, characteristic, complemented
31C83×#2597C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33C2×#14581780C2211yescharacteristic
34C2×#14581778C2211yescharacteristic
35C2×#14581778C2211yescharacteristic
36C2×#14581777C2211yescharacteristic
37C2×#14581777C2211yescharacteristic
38C2×#14581777C2211yescharacteristic, complemented
39C2×#14581774C2211yescharacteristic
40C2×#14581773C2211yescharacteristic
41C2×#14581769C2211yescharacteristic, complemented
42C2×#14581765C2211yescharacteristic
43C2×#14581765C2211yescharacteristic
44C2×#14581765C2211yescharacteristic
45C2×#14581764C2211yescharacteristic
46C2×#14581762C2211yescharacteristic
47C2×#14581762C2211yescharacteristic
48C2×#14581760C2211yescharacteristic
49C2×#14581749C2211yescharacteristic
50C2×#14581749C2211yescharacteristic
51#19127642C2211yescharacteristic, complemented
52#19127642C2211yescharacteristic, complemented
53#19127640C2211yescharacteristic, complemented
54#19127639C2211yescharacteristic, complemented
55#19127636C2211yescharacteristic, complemented
56#19127635C2211yescharacteristic, complemented
57#19127632C2211yescharacteristic, complemented
58#19127630C2211yescharacteristic
59#19127630C2211yescharacteristic, complemented
60#19127630C2211yescharacteristic, complemented
61#19127630C2211yescharacteristic, complemented
62#19127630C2211yescharacteristic, complemented
63#19127629C2211yescharacteristic
64#19127629C2211yescharacteristic, complemented
65#19127628C2211yescharacteristic, complemented
66#19127626C2211yescharacteristic
67#19127626C2211yescharacteristic
68#19127625C2211yescharacteristic, complemented
69#19127623C2211yescharacteristic
70#19127623C2211yescharacteristic
71#19127623C2211yescharacteristic
72#19127622C2211yescharacteristic, complemented
73#19127621C2211yescharacteristic, complemented
74#19127621C2211yescharacteristic, complemented
75#19127619C2211yescharacteristic
76#19127618C2211yescharacteristic
77#19127618C2211yescharacteristic
78#19127617C2211yescharacteristic
79#19127617C2211yescharacteristic
80#19127617C2211yescharacteristic
81#19127617C2211yescharacteristic
82#19127616C2211yescharacteristic, complemented
83#19127616C2211yescharacteristic, complemented
84#19127614C2211yescharacteristic
85#19127614C2211yescharacteristic
86#19127614C2211yescharacteristic
87#19127614C2211yescharacteristic, complemented
88#19127613C2211yescharacteristic, complemented
89#19127611C2211yescharacteristic
90#19127611C2211yescharacteristic
91#19127610C2211yescharacteristic
92#19127610C2211yescharacteristic
93#19127610C2211yescharacteristic, complemented
94#19127609C2211yescharacteristic
95#19127607C2211yescharacteristic, complemented
96#19127605C2211yescharacteristic, complemented
97#19127603C2211yescharacteristic
98#19127603C2211yescharacteristic, complemented
99#19127602C2211yescharacteristic
100#19127602C2211yescharacteristic
101#19127601C2211yescharacteristic
102#19127601C2211yescharacteristic, complemented
103#19127598C2211yescharacteristic, complemented
104#19127595C2211yescharacteristic
105#19127595C2211yescharacteristic, complemented
106#19127593C2211yescharacteristic
107#19127592C2211yescharacteristic
108#19127592C2211yescharacteristic
109#19127592C2211yescharacteristic, complemented
110#19127592C2211yescharacteristic, complemented
111#19127592C2211yescharacteristic, complemented
112#19127591C2211yescharacteristic
113#19127591C2211yescharacteristic, complemented
114#19127590C2211yescharacteristic
115#19127590C2211yescharacteristic, complemented
116#19127588C2211yescharacteristic, complemented
117#19127588C2211yescharacteristic, complemented
118#19127587C2211yescharacteristic, complemented
119#19127586C2211yescharacteristic, complemented
120#19127585C2211yescharacteristic, complemented
121#19127585C2211yescharacteristic, complemented
122#19127584C2211yescharacteristic, complemented
123#19127583C2211yescharacteristic, complemented
124#19127583C2211yescharacteristic, complemented
125#19127582C2211yescharacteristic, complemented
126#19127580C2211yescharacteristic
127#19127580C2211yescharacteristic
128#19127579C2211yescharacteristic
129#19127579C2211yescharacteristic
130#19127579C2211yescharacteristic
131#19127579C2211yescharacteristic
132#19127579C2211yescharacteristic
133#19127579C2211yescharacteristic
134#19127579C2211yescharacteristic
135#19127579C2211yescharacteristic, complemented
136#19127578C2211yescharacteristic
137#19127578C2211yescharacteristic
138#19127578C2211yescharacteristic
139#19127578C2211yescharacteristic, complemented
140#19127578C2211yescharacteristic, complemented
141#19127577C2211yescharacteristic
142#19127577C2211yescharacteristic
143#19127577C2211yescharacteristic
144#19127577C2211yescharacteristic, complemented
145#19127575C2211yescharacteristic, complemented
146#19127573C2211yescharacteristic
147#19127572C2211yescharacteristic
148#19127572C2211yescharacteristic
149#19127572C2211yescharacteristic, complemented
150#19127568C2211yescharacteristic, complemented
151#19127563C2211yescharacteristic
152#19127563C2211yescharacteristic
153#19127563C2211yescharacteristic
154#19127563C2211yescharacteristic
155#19127560C2211yescharacteristic
156#19127560C2211yescharacteristic
157#19127560C2211yescharacteristic
158#19127560C2211yescharacteristic
159#19127559C2211yescharacteristic
160#19127559C2211yescharacteristic
161#19127559C2211yescharacteristic
162#19127558C2211yescharacteristic, complemented
163#19127556C2211yescharacteristic
164#19127556C2211yescharacteristic
165#19127556C2211yescharacteristic
166C22⋊C4×Dic83C2211yescharacteristic, complemented
167C4×(C2×D83)⋊C4C2211yescharacteristic
168C4×(C2×D83)⋊C4C2211yescharacteristic
169C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
170C4×C22⋊Dic83C2211yescharacteristic
171#19127548C2211yescharacteristic, complemented
172#400×C83C2211yescharacteristic, complemented
173#397×C83C2211yescharacteristic
174#397×C83C2211yescharacteristic, complemented
175#394×C83C2211yescharacteristic
176#390×C83C2211yescharacteristic
177#388×C83C2211yescharacteristic
178#388×C83C2211yescharacteristic, complemented
179#388×C83C2211yescharacteristic, complemented
180#388×C83C2211yescharacteristic, complemented
181#387×C83C2211yescharacteristic, complemented
182#387×C83C2211yescharacteristic, complemented
183#386×C83C2211yescharacteristic
184#385×C83C2211yescharacteristic
185C4×C4⋊C4×C83C2211yescharacteristic, complemented
186C4×C22⋊C4×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C22×Dic166C2311yescharacteristic
189C22×Dic166C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C22×C4×D83—24no—
204C22×C4×D83—42no—
205C22×C4×D83—42no—
206C22×C4×D83C2311yescharacteristic
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212#14581780—42no—
213#14581778—42no—
214#14581778—42no—
215#14581777—24no—
216#14581777—42no—
217#14581777—42no—
218#14581774—42no—
219#14581773—42no—
220#14581769—42no—
221#14581765—24no—
222#14581765—42no—
223#14581765—42no—
224#14581764—42no—
225#14581762—42no—
226#14581762—42no—
227#14581760—42no—
228#14581749—42no—
229#14581749—42no—
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
240C2×Dic83⋊C4C2311yescharacteristic
241C2×Dic83⋊C4C2311yescharacteristic
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
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
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
328C22×D4×C83C2311yescharacteristic
329C23×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×C22⋊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×C22⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C42×C83C2311yescharacteristic
348C2×C42×C83C2311yescharacteristic
349C2×C42×C83C2311yescharacteristic
350C2×C42×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
374C2×Dic166—41no—
375C2×Dic166—41no—
376C2×Dic166—41no—
377C2×Dic166—41no—
378C2×Dic166—41no—
379C2×Dic166—41no—
380C2×D332—22no—
381C2×D332—22no—
382C2×D332—22no—
383C2×D332—22no—
384C2×D332—41no—
385C2×D332—41no—
386C2×D332—41no—
387C2×D332—41no—
388C2×D332—41no—
389C2×D332—41no—
390C2×D332—41no—
391C2×D332—41no—
392C2×D332—41no—
393C2×D332—41no—
394C2×D332—41no—
395C2×C22⋊D83—22no—
396C2×C22⋊D83—22no—
397C2×C22⋊D83—22no—
398C2×C22⋊D83—22no—
399C2×C22⋊D83—22no—
400C2×C22⋊D83—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—
413C22×Dic83—22no—
414C22×Dic83—22no—
415C22×Dic83—41no—
416C22×Dic83—41no—
417C22×Dic83—41no—
418C22×Dic83—41no—
419C22×Dic83C2411yescharacteristic
420C22×Dic83C2411yescharacteristic
421C22×Dic83C2411yescharacteristic
422C22×Dic83C2411yescharacteristic
423C22×Dic83C2411yescharacteristic
424C22×Dic83C2411yescharacteristic
425C22×Dic83C2411yescharacteristic
426C22×Dic83C2411yescharacteristic
427C22×Dic83C2411yescharacteristic
428C22×Dic83C2411yescharacteristic
429C22×Dic83C2411yescharacteristic
430C22×Dic83C2411yescharacteristic
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—416no—
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#4114yes—
450C4⋊Dic83—41no—
451C4⋊Dic83—41no—
452C4⋊Dic83—41no—
453C4⋊Dic83—41no—
454Dic83⋊C4—22no—
455Dic83⋊C4—22no—
456Dic83⋊C4—22no—
457Dic83⋊C4—22no—
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—
468C22⋊Dic83—22no—
469C22⋊Dic83—22no—
470C22⋊Dic83—22no—
471C22⋊Dic83—22no—
472C22⋊Dic83—41no—
473C22⋊Dic83—41no—
474C22⋊Dic83—41no—
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—
511C4×Dic83—41no—
512C4×Dic83—41no—
513C4×Dic83—41no—
514C4×Dic83—41no—
515C4×Dic83—41no—
516C24×C83C2411yescharacteristic
517C24×C83C2411yescharacteristic
518C2×D4×C83—22no—
519C2×D4×C83—41no—
520C2×D4×C83—41no—
521C22×C4×C83—22no—
522C22×C4×C83—41no—
523C22×C4×C83—41no—
524C22×C4×C83C2411yescharacteristic
525C22×C4×C83C2411yescharacteristic
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
537C4⋊C4×C83—22no—
538C4⋊C4×C83—41no—
539C4⋊C4×C83—41no—
540C4⋊C4×C83—41no—
541C4⋊C4×C83—41no—
542C4⋊C4×C83—41no—
543C22⋊C4×C83—22no—
544C22⋊C4×C83—22no—
545C22⋊C4×C83—22no—
546C22⋊C4×C83—41no—
547C22⋊C4×C83—41no—
548C22⋊C4×C83—41no—
549C22⋊C4×C83—41no—
550C22⋊C4×C83—41no—
551C22⋊C4×C83—41no—
552C22⋊C4×C83—41no—
553C22⋊C4×C83—41no—
554C42×C83—41no—
555C42×C83—41no—
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×C83—21no—
566C23×C83—21no—
567C23×C83—21no—
568C23×C83—21no—
569C23×C83—21no—
570C23×C83—21no—
571C23×C83H(5,𝔽2)12yes—
572C23×C83C2511yescharacteristic
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—21no—
599C22×D83—44no—
600C22×D83—44no—
601C22×D83—44no—
602C22×D83—44no—
603C22×D83—44no—
604C22×D83—44no—
605C22×D83—44no—
606C22×D83C2×#4112yes—
607C22×D83H(5,𝔽2)12yes—
608D4×C83—82no—
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—44no—
648C2×C4×C83C2×#4112yes—
649C22⋊D83—82no—
650C22⋊D83—82no—
651C22⋊D83—82no—
652C22⋊D83—82no—
653C22⋊D83—82no—
654C22⋊D83—82no—
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×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—44no—
690C2×Dic83—82no—
691C2×Dic83C2×#4112yes—
692C2×Dic83H(5,𝔽2)12yes—
693D332—82no—
694D332—82no—
695D332—82no—
696D332—82no—
697D332—82no—
698C4×D83—28no—
699C4×D83—44no—
700C4×D83—44no—
701C4×D83—44no—
702C4×D83—82no—
703C4×D83—82no—
704Dic166—82no—
705Dic166—82no—
706C22×C83—22no—
707C22×C83—22no—
708C22×C83—22no—
709C22×C83—41no—
710C22×C83—41no—
711C22×C83—41no—
712C22×C83—41no—
713C22×C83—41no—
714C22×C83—41no—
715C22×C83—41no—
716C22×C83—41no—
717C22×C83—41no—
718C22×C83—41no—
719C22×C83—41no—
720C22×C83C22×#4111yescharacteristic
721C22×C83C2×H(5,𝔽2)11yescharacteristic
722C22×C83C2×H(5,𝔽2)11yescharacteristic
723C22×C83C2×H(5,𝔽2)11yescharacteristic
724C22×C83#58511yescharacteristic
725C22×C83#58511yescharacteristic
726C22×C83#58511yescharacteristic
727C2×D83—22no—
728C2×D83—22no—
729C2×D83—22no—
730C2×D83—22no—
731C2×D83—22no—
732C2×D83—22no—
733C2×D83—416no—
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—41no—
755C2×D83—41no—
756C4×C83—22no—
757C4×C83—41no—
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—
769Dic83—22no—
770Dic83—22no—
771Dic83—41no—
772Dic83—41no—
773Dic83—41no—
774Dic83—41no—
775Dic83—41no—
776Dic83—41no—
777Dic83—41no—
778Dic83—41no—
779Dic83—41no—
780Dic83—41no—
781#36735—831nomaximal, Sylow
782C2×C83—42no—
783C2×C83—81no—
784C2×C83#345511yescharacteristic
785C2×C83#349011yescharacteristic
786C2×C83#349411yescharacteristic
787C2×C83#353311yescharacteristic
788C2×C83#353411yescharacteristic
789C2×C83#354011yescharacteristic
790C2×C83#354211yescharacteristic
791D83—42no—
792D83—42no—
793D83—81no—
794D83—81no—
795#2849—831no—
796#2847—831no—
797#2747—831no—
798#2740—831no—
799#2739—831no—
800#2737—831no—
801#2737—831no—
802#2717—831no—
803#2703—831no—
804#2697—831no—
805#2696—831no—
806#2693—831no—
807#2688—831no—
808#2686—831no—
809#2684—831no—
810#2678—831no—
811#2672—831no—
812#2670—831no—
813#2665—831no—
814#2661—831no—
815#2597D8311yescharacteristic, complemented
816#2578—831no—
817#2557—831no—
818#2557—831no—
819#2477—831no—
820#2476—831no—
821#2474—831no—
822#2471—831no—
823#2335—831no—
824#2333—831no—
825#2280—831no—
826C83#3673511yescharacteristic, complemented, Sylow
827C24×C4—831no—
828C2×#124—831no—
829C2×#124—831no—
830C2×#124—831no—
831C2×#123—831no—
832C2×#123—831no—
833C2×#123—831no—
834C2×#123—831no—
835C2×#123—831no—
836C2×C22⋊Q8—831no—
837C2×#121—831no—
838C2×#121—831no—
839C2×#121—831no—
840C2×#121—831no—
841C2×#120—831no—
842C2×#120—831no—
843C2×#120—831no—
844C2×#117—831no—
845C2×#117—831no—
846#400—831no—
847#400—831no—
848#400—831no—
849#400—831no—
850#400C2×D8311yescharacteristic, complemented
851#399—831no—
852#398—831no—
853#398—831no—
854#397—831no—
855#397—831no—
856#397—831no—
857#397—831no—
858#397—831no—
859#397—831no—
860#397—831no—
861#397—831no—
862#397—831no—
863#397—831no—
864#397C2×D8311yescharacteristic
865#397C2×D8311yescharacteristic, complemented
866#396—831no—
867#396—831no—
868#396—831no—
869#396—831no—
870#395—831no—
871#395—831no—
872#395—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#394C2×D8311yescharacteristic
883#393—831no—
884#393—831no—
885#393—831no—
886#393—831no—
887#393—831no—
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#390—831no—
897#390—831no—
898#390—831no—
899#390—831no—
900#390—831no—
901#390—831no—
902#390C2×D8311yescharacteristic
903#389—831no—
904#388—831no—
905#388—831no—
906#388—831no—
907#388—831no—
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#388C2×D8311yescharacteristic
917#388C2×D8311yescharacteristic, complemented
918#388C2×D8311yescharacteristic, complemented
919#388C2×D8311yescharacteristic, complemented
920#387—831no—
921#387—831no—
922#387—831no—
923#387—831no—
924#387—831no—
925#387—831no—
926#387—831no—
927#387—831no—
928#387—831no—
929#387—831no—
930#387C2×D8311yescharacteristic, complemented
931#387C2×D8311yescharacteristic, complemented
932#386—831no—
933#386—831no—
934#386—831no—
935#386—831no—
936#386—831no—
937#386—831no—
938#386—831no—
939#386—831no—
940#386—831no—
941#386—831no—
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#386C2×D8311yescharacteristic
952#385—831no—
953#385—831no—
954#385—831no—
955#385—831no—
956#385—831no—
957#385C2×D8311yescharacteristic
958#383—831no—
959#381—831no—
960#381—831no—
961#381—831no—
962#381—831no—
963#380—831no—
964#380—831no—
965#380—831no—
966#380—831no—
967#380—831no—
968#380—831no—
969#380—831no—
970#380—831no—
971#379—831no—
972#379—831no—
973#379—831no—
974C4×C4⋊C4C2×D8311yescharacteristic, complemented
975C4×C22⋊C4—831no—
976C4×C22⋊C4—831no—
977C4×C22⋊C4—831no—
978C4×C22⋊C4—831no—
979C4×C22⋊C4—831no—
980C4×C22⋊C4—831no—
981C4×C22⋊C4C2×D8311yescharacteristic
982C25—831no—
983C22×Q8—831no—
984C22×Q8—831no—
985C22×D4—831no—
986C22×D4—831no—
987C22×D4—831no—
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×D4C22×D8311yescharacteristic
997C23×C4—3322no—
998C23×C4—3322no—
999C23×C4—831no—
1000C23×C4—831no—
1001C23×C4—831no—
1002C23×C4—831no—
1003C23×C4—831no—
1004C23×C4—831no—
1005C23×C4—831no—
1006C23×C4—831no—
1007C23×C4—1664no—
1008C23×C4C22×D8311yescharacteristic
1009#124—3322no—
1010#124—3322no—
1011#124—3322no—
1012#123—3322no—
1013#123—3322no—
1014#123—3322no—
1015#123—3322no—
1016#123—1664no—
1017C22⋊Q8—3322no—
1018#121—3322no—
1019#121—3322no—
1020#121—3322no—
1021#121—1664no—
1022#120—3322no—
1023#120—3322no—
1024#120—3322no—
1025#117—3322no—
1026#117—3322no—
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⋊C4—831no—
1040C2×C4⋊C4—831no—
1041C2×C4⋊C4—831no—
1042C2×C4⋊C4—831no—
1043C2×C4⋊C4—831no—
1044C2×C4⋊C4—831no—
1045C2×C4⋊C4C22×D8311yescharacteristic
1046C2×C4⋊C4C22×D8311yescharacteristic
1047C2×C4⋊C4C22×D8311yescharacteristic
1048C2×C4⋊C4C22×D8311yescharacteristic
1049C2×C4⋊C4C22×D8311yescharacteristic
1050C2×C4⋊C4C22×D8311yescharacteristic
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⋊C4C22×D8311yescharacteristic
1095C2×C22⋊C4C22×D8311yescharacteristic
1096C2×C22⋊C4C22×D8311yescharacteristic
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×C22⋊C4C22×D8311yescharacteristic
1105C2×C42—831no—
1106C2×C42—831no—
1107C2×C42—831no—
1108C2×C42—831no—
1109C2×C42—831no—
1110C2×C42C22×D8311yescharacteristic
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#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
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—1662no—
1167C24—1662no—
1168C24—1662no—
1169C24C23×D8311yescharacteristic
1170C24C23×D8311yescharacteristic
1171C2×Q8—3321no—
1172C2×Q8—3321no—
1173C2×Q8—3321no—
1174C2×Q8—3321no—
1175C2×Q8—3321no—
1176C2×Q8—3321no—
1177C2×D4—22no—
1178C2×D4—41no—
1179C2×D4—41no—
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—3321no—
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—
1213C22×C4—22no—
1214C22×C4—41no—
1215C22×C4—41no—
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—33216no—
1227C22×C4—3321no—
1228C22×C4—3321no—
1229C22×C4—3321no—
1230C22×C4—3321no—
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—831no—
1243C22×C4—831no—
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×C4—1662no—
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—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—3321no—
1273C4⋊C4—3321no—
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—1662no—
1286C4⋊C4—1662no—
1287C4⋊C4—1662no—
1288C4⋊C4—1662no—
1289C4⋊C4—1662no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
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—1662no—
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—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—3321no—
1349C42—3321no—
1350C42—3321no—
1351C42—3321no—
1352C42—3321no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—3324no—
1367C23—3324no—
1368C23—3324no—
1369C23—3324no—
1370C23—3324no—
1371C23—3324no—
1372C23—3324no—
1373C23—832no—
1374C23—832no—
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#1458183812yes—
1402C23C24×D8311yescharacteristic
1403Q8—6642no—
1404Q8—6642no—
1405D4—82no—
1406D4—6642no—
1407D4—6642no—
1408D4—6642no—
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—44no—
1456C2×C4—3324no—
1457C2×C4—3324no—
1458C2×C4—3324no—
1459C2×C4—3324no—
1460C2×C4—832no—
1461C2×C4—832no—
1462C2×C4—6642no—
1463C2×C4—6642no—
1464C2×C4—6642no—
1465C2×C4—1668no—
1466C2×C4—1661no—
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—1661no—
1500C2×C4#41×D8312yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—33216no—
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—3321no—
1537C22—3321no—
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#1912853711yescharacteristic
1550C22#1912853711yescharacteristic
1551C4—22no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—3321no—
1565C4—3321no—
1566C4—3321no—
1567C4—3321no—
1568C4—3321no—
1569C4—3321no—
1570C4—3321no—
1571C4—3321no—
1572C4—3321no—
1573C4—3321no—
1574C4—1662no—
1575C4—1662no—
1576C2—42no—
1577C2—81no—
1578C2—3322no—
1579C2—3322no—
1580C2—6641no—
1581C2—6641no—
1582C2#2492084611yescharacteristic
1583C2#2492114911yescharacteristic
1584C2#2492118611yescharacteristic
1585C2#2492162111yescharacteristic
1586C2#2492164011yescharacteristic
1587C2#2492172611yescharacteristic
1588C2#2492177211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2597C2
hypercenter#2597D83
hypocenterC83#36735
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2597

Complements

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

NH ≅ G/Ntype
1. #24915758C2semidirect
2. #24915744C2semidirect
3. #24914659C2semidirect
4. #24914564C2semidirect
5. #24914541C2semidirect
6. #24914523C2semidirect
7. #24914519C2semidirect
8. #24914297C2semidirect
9. #24914103C2semidirect
10. #24914025C2semidirect
11. #24914010C2semidirect
12. #24913973C2semidirect
13. #24913892C2semidirect
14. #24913870C2semidirect
15. #24913845C2semidirect
16. #24913794C2semidirect
17. #24913716C2semidirect
18. #24913687C2semidirect
19. #24913639C2semidirect
20. #24913595C2semidirect
21. #24912796C2semidirect
22. #24912559C2semidirect
23. #24912556C2semidirect
24. #24911669C2semidirect
25. #24911651C2semidirect
26. #24911619C2semidirect
27. #24911581C2semidirect
28. #24910247C2semidirect
29. #24910226C2semidirect
30. #24909844C2semidirect
31. C83×#2597C2semidirect
38. C2×#14581777C22semidirect
41. C2×#14581769C22semidirect
51. #19127642C22semidirect
52. #19127642C22semidirect
53. #19127640C22semidirect
54. #19127639C22semidirect
55. #19127636C22semidirect
56. #19127635C22semidirect
57. #19127632C22semidirect
59. #19127630C22semidirect
60. #19127630C22semidirect
61. #19127630C22semidirect
62. #19127630C22semidirect
64. #19127629C22semidirect
65. #19127628C22semidirect
68. #19127625C22semidirect
72. #19127622C22semidirect
73. #19127621C22semidirect
74. #19127621C22semidirect
82. #19127616C22semidirect
83. #19127616C22semidirect
87. #19127614C22semidirect
88. #19127613C22semidirect
93. #19127610C22semidirect
95. #19127607C22semidirect
96. #19127605C22semidirect
98. #19127603C22semidirect
102. #19127601C22semidirect
103. #19127598C22semidirect
105. #19127595C22semidirect
109. #19127592C22semidirect
110. #19127592C22semidirect
111. #19127592C22semidirect
113. #19127591C22semidirect
115. #19127590C22semidirect
116. #19127588C22semidirect
117. #19127588C22semidirect
118. #19127587C22semidirect
119. #19127586C22semidirect
120. #19127585C22semidirect
121. #19127585C22semidirect
122. #19127584C22semidirect
123. #19127583C22semidirect
124. #19127583C22semidirect
125. #19127582C22semidirect
135. #19127579C22semidirect
139. #19127578C22semidirect
140. #19127578C22semidirect
144. #19127577C22semidirect
145. #19127575C22semidirect
149. #19127572C22semidirect
150. #19127568C22semidirect
162. #19127558C22semidirect
166. C22⋊C4×Dic83C22semidirect
169. C4×(C2×D83)⋊C4C22semidirect
171. #19127548C22semidirect
172. #400×C83C22semidirect
174. #397×C83C22semidirect
178. #388×C83C22semidirect
179. #388×C83C22semidirect
180. #388×C83C22semidirect
181. #387×C83C22semidirect
182. #387×C83C22semidirect
185. C4×C4⋊C4×C83C22semidirect
815. #2597D83semidirect
826. C83#36735semidirect
850. #400C2×D83semidirect
865. #397C2×D83semidirect
917. #388C2×D83semidirect
918. #388C2×D83semidirect
919. #388C2×D83semidirect
930. #387C2×D83semidirect
931. #387C2×D83semidirect
974. C4×C4⋊C4C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157582
#249157442
#249146592
#249145642
#249145412
#249145232
#249145192
#249142972
#249141032
#249140252
#249140102
#249139732
#249138922
#249138702
#249138452
#249137942
#249137162
#249136872
#249136392
#249135952
#249127962
#249125592
#249125562
#249116692
#249116512
#249116192
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