Finite Group Databasebeta

← #35613197

Subgroups — #35613197

Order 21248.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915752C211yesmaximal, characteristic, complemented
2#24915742C211yesmaximal, characteristic, complemented
3#24915405C211yesmaximal, characteristic, complemented
4#24915317C211yesmaximal, characteristic, complemented
5#24915207C211yesmaximal, characteristic, complemented
6#24915165C211yesmaximal, characteristic, complemented
7#24915104C211yesmaximal, characteristic, complemented
8#24915086C211yesmaximal, characteristic, complemented
9#24914710C211yesmaximal, characteristic, complemented
10#24914703C211yesmaximal, characteristic, complemented
11#24914636C211yesmaximal, characteristic, complemented
12#24914266C211yesmaximal, characteristic, complemented
13#24914207C211yesmaximal, characteristic, complemented
14#24914177C211yesmaximal, characteristic, complemented
15#24914175C211yesmaximal, characteristic, complemented
16#24913994C211yesmaximal, characteristic, complemented
17#24913865C211yesmaximal, characteristic, complemented
18#24913420C211yesmaximal, characteristic, complemented
19#24913394C211yesmaximal, characteristic, complemented
20#24911725C211yesmaximal, characteristic, complemented
21#24911584C211yesmaximal, characteristic, complemented
22#24911195C211yesmaximal, characteristic, complemented
23#24911146C211yesmaximal, characteristic, complemented
24#24911066C211yesmaximal, characteristic, complemented
25#24910996C211yesmaximal, characteristic, complemented
26#24910845C211yesmaximal, characteristic, complemented
27#24910777C211yesmaximal, characteristic, complemented
28#24910130C211yesmaximal, characteristic, complemented
29#24910053C211yesmaximal, characteristic, complemented
30#385×D83C211yesmaximal, characteristic, complemented
31C83×#2682C211yesmaximal, characteristic, complemented
32C22×#13050589C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C2×#14581785C2211yescharacteristic, complemented
35C2×#14581779C2211yescharacteristic
36C2×#14581774C2211yescharacteristic
37C2×#14581773C2211yescharacteristic
38C2×#14581770C2211yescharacteristic
39C2×#14581763C2211yescharacteristic
40C2×#14581763C2211yescharacteristic
41C2×#14581763C2211yescharacteristic
42C2×#14581760C2211yescharacteristic
43C2×#14581760C2211yescharacteristic
44C2×#14581760C2211yescharacteristic
45C2×C4×C22⋊D83C2211yescharacteristic
46C2×#14581749C2211yescharacteristic
47C2×C4⋊C4×D83C2211yescharacteristic
48C2×C4⋊C4×D83C2211yescharacteristic
49C2×C22⋊C4×D83C2211yescharacteristic
50C2×C22⋊C4×D83C2211yescharacteristic
51C83⋊#401C2211yescharacteristic, complemented
52#19127642C2211yescharacteristic, complemented
53#19127641C2211yescharacteristic, complemented
54#19127640C2211yescharacteristic, complemented
55#19127640C2211yescharacteristic, complemented
56#19127639C2211yescharacteristic, complemented
57#19127639C2211yescharacteristic, complemented
58#19127639C2211yescharacteristic, complemented
59#19127639C2211yescharacteristic, complemented
60#19127637C2211yescharacteristic, complemented
61#19127634C2211yescharacteristic, complemented
62#19127632C2211yescharacteristic, complemented
63#19127631C2211yescharacteristic, complemented
64#19127629C2211yescharacteristic
65#19127629C2211yescharacteristic, complemented
66#19127629C2211yescharacteristic, complemented
67#19127629C2211yescharacteristic, complemented
68#19127629C2211yescharacteristic, complemented
69#19127629C2211yescharacteristic, complemented
70#19127629C2211yescharacteristic, complemented
71#19127626C2211yescharacteristic, complemented
72#19127624C2211yescharacteristic
73#19127623C2211yescharacteristic
74#19127623C2211yescharacteristic
75#19127622C2211yescharacteristic, complemented
76#19127621C2211yescharacteristic, complemented
77#19127616C2211yescharacteristic
78#19127616C2211yescharacteristic
79#19127615C2211yescharacteristic
80#19127615C2211yescharacteristic
81#19127615C2211yescharacteristic
82#19127615C2211yescharacteristic, complemented
83#19127615C2211yescharacteristic, complemented
84#19127615C2211yescharacteristic, complemented
85#19127614C2211yescharacteristic
86#19127614C2211yescharacteristic
87#19127613C2211yescharacteristic
88#19127613C2211yescharacteristic, complemented
89#19127613C2211yescharacteristic, complemented
90#19127613C2211yescharacteristic, complemented
91#19127609C2211yescharacteristic
92#19127609C2211yescharacteristic
93#19127607C2211yescharacteristic, complemented
94#19127606C2211yescharacteristic, complemented
95#19127605C2211yescharacteristic, complemented
96#19127604C2211yescharacteristic, complemented
97#19127601C2211yescharacteristic
98#19127601C2211yescharacteristic
99#19127601C2211yescharacteristic
100#19127598C2211yescharacteristic, complemented
101#19127597C2211yescharacteristic, complemented
102#19127595C2211yescharacteristic
103#19127595C2211yescharacteristic, complemented
104#19127594C2211yescharacteristic
105#19127594C2211yescharacteristic, complemented
106#19127594C2211yescharacteristic, complemented
107#19127592C2211yescharacteristic
108#19127591C2211yescharacteristic
109#19127589C2211yescharacteristic
110#19127589C2211yescharacteristic, complemented
111#19127587C2211yescharacteristic, complemented
112#19127587C2211yescharacteristic, complemented
113#19127586C2211yescharacteristic, complemented
114#19127585C2211yescharacteristic, complemented
115#19127584C2211yescharacteristic, complemented
116#19127582C2211yescharacteristic, complemented
117#19127582C2211yescharacteristic, complemented
118#19127581C2211yescharacteristic
119#19127581C2211yescharacteristic
120#19127581C2211yescharacteristic
121#19127581C2211yescharacteristic
122#19127581C2211yescharacteristic, complemented
123#19127581C2211yescharacteristic, complemented
124#19127580C2211yescharacteristic
125#19127578C2211yescharacteristic
126#19127578C2211yescharacteristic
127#19127577C2211yescharacteristic
128#19127577C2211yescharacteristic
129#19127577C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127577C2211yescharacteristic
132#19127577C2211yescharacteristic
133#19127577C2211yescharacteristic
134#19127577C2211yescharacteristic
135#19127577C2211yescharacteristic
136#19127577C2211yescharacteristic
137#19127577C2211yescharacteristic
138#19127577C2211yescharacteristic
139#19127577C2211yescharacteristic
140#19127577C2211yescharacteristic
141#19127576C2211yescharacteristic
142#19127576C2211yescharacteristic, complemented
143#19127576C2211yescharacteristic, complemented
144#19127575C2211yescharacteristic
145#19127575C2211yescharacteristic
146#19127574C2211yescharacteristic
147#19127574C2211yescharacteristic, complemented
148#19127574C2211yescharacteristic, complemented
149#19127573C2211yescharacteristic
150#19127572C2211yescharacteristic
151#19127572C2211yescharacteristic
152#19127572C2211yescharacteristic
153#19127572C2211yescharacteristic
154#19127572C2211yescharacteristic
155#19127572C2211yescharacteristic
156#19127572C2211yescharacteristic
157#19127572C2211yescharacteristic
158#19127564C2211yescharacteristic
159#19127563C2211yescharacteristic
160#19127562C2211yescharacteristic
161#19127561C2211yescharacteristic
162#19127559C2211yescharacteristic, complemented
163#19127559C2211yescharacteristic, complemented
164#19127559C2211yescharacteristic, complemented
165#19127559C2211yescharacteristic, complemented
166#19127558C2211yescharacteristic
167#19127558C2211yescharacteristic
168#19127556C2211yescharacteristic
169#19127548C2211yescharacteristic
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172C2×#123×C83C2211yescharacteristic
173C2×#123×C83C2211yescharacteristic, complemented
174C2×#121×C83C2211yescharacteristic
175C2×#121×C83C2211yescharacteristic
176#396×C83C2211yescharacteristic, complemented
177#396×C83C2211yescharacteristic, complemented
178#394×C83C2211yescharacteristic
179#394×C83C2211yescharacteristic, complemented
180#392×C83C2211yescharacteristic
181#392×C83C2211yescharacteristic, complemented
182#390×C83C2211yescharacteristic
183#390×C83C2211yescharacteristic, complemented
184#389×C83C2211yescharacteristic, complemented
185#385×C83C2211yescharacteristic
186#385×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C2×#13050589—24no—
189C2×#13050589—42no—
190C2×#13050589—42no—
191C22×Dic166C2311yescharacteristic
192C22×Dic166C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C23×Dic83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C22×C4×D83—42no—
203C22×C4×D83—42no—
204C22×C4×D83—42no—
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#14581785—42no—
214#14581779—42no—
215#14581774—24no—
216#14581773—42no—
217#14581770—42no—
218#14581763—42no—
219#14581763—42no—
220#14581763—42no—
221#14581760—42no—
222#14581760—42no—
223#14581760—42no—
224C4×C22⋊D83—42no—
225#14581749—42no—
226C2×C4⋊Dic83C2311yescharacteristic
227C2×C4⋊Dic83C2311yescharacteristic
228C2×C4⋊Dic83C2311yescharacteristic
229C2×C4⋊Dic83C2311yescharacteristic
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
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
242C2×Dic83⋊C4C2311yescharacteristic
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C4⋊C4×D83—42no—
247C4⋊C4×D83—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×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C22⋊C4×D83—24no—
285C22⋊C4×D83—42no—
286C2×C4×Dic83C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
290C83⋊#95C2311yescharacteristic
291C83⋊#95C2311yescharacteristic
292C83⋊#95C2311yescharacteristic
293C83⋊#95C2311yescharacteristic
294C83⋊#95C2311yescharacteristic
295C83⋊#95C2311yescharacteristic
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
330C22×D4×C83C2311yescharacteristic
331C22×D4×C83C2311yescharacteristic
332C22×D4×C83C2311yescharacteristic
333C22×D4×C83C2311yescharacteristic
334C22×D4×C83C2311yescharacteristic
335C22×D4×C83C2311yescharacteristic
336C23×C4×C83C2311yescharacteristic
337C23×C4×C83C2311yescharacteristic
338#123×C83—42no—
339#123×C83—42no—
340#121×C83—42no—
341#121×C83—42no—
342C2×C4⋊C4×C83C2311yescharacteristic
343C2×C4⋊C4×C83C2311yescharacteristic
344C2×C4⋊C4×C83C2311yescharacteristic
345C2×C4⋊C4×C83C2311yescharacteristic
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C4⋊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×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C42×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369C23×D83—22no—
370C23×D83—22no—
371C23×D83—22no—
372C23×D83—22no—
373C23×D83—22no—
374C23×D83—41no—
375C23×D83—41no—
376C23×D83C2411yescharacteristic
377C23×D83C2411yescharacteristic
378#13050589—416no—
379C2×Dic166—22no—
380C2×Dic166—41no—
381C2×Dic166—41no—
382C2×Dic166—41no—
383C2×Dic166—41no—
384C2×Dic166—41no—
385C2×C22⋊D83—22no—
386C2×C22⋊D83—22no—
387C2×C22⋊D83—22no—
388C2×C22⋊D83—22no—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—22no—
391C2×C22⋊D83—22no—
392C2×C22⋊D83—22no—
393C2×C22⋊D83—22no—
394C2×C22⋊D83—22no—
395C2×C22⋊D83—22no—
396C2×C22⋊D83—22no—
397C2×C22⋊D83—41no—
398C2×C22⋊D83—41no—
399C2×C22⋊D83—41no—
400C2×C22⋊D83—41no—
401C2×C22⋊D83—41no—
402C2×C22⋊D83—41no—
403C22×Dic83—22no—
404C22×Dic83—22no—
405C22×Dic83—22no—
406C22×Dic83—41no—
407C22×Dic83—41no—
408C22×Dic83—41no—
409C22×Dic83—41no—
410C22×Dic83—41no—
411C22×Dic83—41no—
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
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—41no—
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—416no—
446C2×C4×D83—41no—
447C2×C4×D83—41no—
448C2×C4×D83—41no—
449C2×C4×D83—41no—
450C2×C4×D83#4114yes—
451C4⋊Dic83—22no—
452C4⋊Dic83—22no—
453C4⋊Dic83—41no—
454C4⋊Dic83—41no—
455C4⋊Dic83—41no—
456C4⋊Dic83—41no—
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—
468Dic83⋊C4—41no—
469Dic83⋊C4—41no—
470Dic83⋊C4—41no—
471C22⋊Dic83—22no—
472C22⋊Dic83—22no—
473C22⋊Dic83—22no—
474C22⋊Dic83—22no—
475C22⋊Dic83—41no—
476C22⋊Dic83—41no—
477C22⋊Dic83—41no—
478C22⋊Dic83—41no—
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—
492C22⋊Dic83—41no—
493(C2×D83)⋊C4—22no—
494(C2×D83)⋊C4—22no—
495(C2×D83)⋊C4—22no—
496(C2×D83)⋊C4—22no—
497(C2×D83)⋊C4—22no—
498(C2×D83)⋊C4—22no—
499(C2×D83)⋊C4—22no—
500(C2×D83)⋊C4—22no—
501(C2×D83)⋊C4—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—
507C4×Dic83—41no—
508C4×Dic83—41no—
509C4×Dic83—41no—
510C4×Dic83—41no—
511C24×C83C2411yescharacteristic
512C24×C83C2411yescharacteristic
513C24×C83C2411yescharacteristic
514C24×C83C2411yescharacteristic
515C2×D4×C83—22no—
516C2×D4×C83—22no—
517C2×D4×C83—22no—
518C2×D4×C83—22no—
519C2×D4×C83—22no—
520C2×D4×C83—41no—
521C2×D4×C83—41no—
522C2×D4×C83—41no—
523C2×D4×C83—41no—
524C2×D4×C83—41no—
525C2×D4×C83—41no—
526C2×D4×C83—41no—
527C2×D4×C83—41no—
528C2×D4×C83—41no—
529C2×D4×C83—41no—
530C2×D4×C83—41no—
531C2×D4×C83—41no—
532C2×D4×C83—41no—
533C22×C4×C83—22no—
534C22×C4×C83—22no—
535C22×C4×C83—41no—
536C22×C4×C83—41no—
537C22×C4×C83—41no—
538C22×C4×C83—41no—
539C22×C4×C83C2411yescharacteristic
540C22×C4×C83C2411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C22×C4×C83C2411yescharacteristic
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C22×C4×C83C2411yescharacteristic
550C4⋊C4×C83—22no—
551C4⋊C4×C83—22no—
552C4⋊C4×C83—41no—
553C4⋊C4×C83—41no—
554C4⋊C4×C83—41no—
555C4⋊C4×C83—41no—
556C4⋊C4×C83—41no—
557C4⋊C4×C83—41no—
558C22⋊C4×C83—22no—
559C22⋊C4×C83—22no—
560C22⋊C4×C83—22no—
561C22⋊C4×C83—22no—
562C22⋊C4×C83—41no—
563C22⋊C4×C83—41no—
564C22⋊C4×C83—41no—
565C22⋊C4×C83—41no—
566C22⋊C4×C83—41no—
567C22⋊C4×C83—41no—
568C22⋊C4×C83—41no—
569C22⋊C4×C83—41no—
570C22⋊C4×C83—41no—
571C22⋊C4×C83—41no—
572C42×C83—41no—
573C23×C83—21no—
574C23×C83—21no—
575C23×C83—21no—
576C23×C83—21no—
577C23×C83—21no—
578C23×C83—21no—
579C23×C83—21no—
580C23×C83—21no—
581C23×C83—21no—
582C23×C83—21no—
583C23×C83—21no—
584C23×C83—21no—
585C23×C83—21no—
586C23×C83—21no—
587C23×C83—21no—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83—21no—
599C23×C83—21no—
600C23×C83H(5,𝔽2)12yes—
601C23×C83C2511yescharacteristic
602C22×D83—21no—
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
606C22×D83—28no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—44no—
614C22×D83—44no—
615C22×D83—44no—
616C22×D83—44no—
617C22×D83—44no—
618C22×D83—44no—
619C22×D83C2×#4112yes—
620C22×D83H(5,𝔽2)12yes—
621C22×D83H(5,𝔽2)12yes—
622C22×D832−1+412yes—
623D4×C83—44no—
624D4×C83—82no—
625D4×C83—82no—
626D4×C83—82no—
627D4×C83—82no—
628D4×C83—82no—
629C2×C4×C83—21no—
630C2×C4×C83—21no—
631C2×C4×C83—21no—
632C2×C4×C83—21no—
633C2×C4×C83—21no—
634C2×C4×C83—21no—
635C2×C4×C83—21no—
636C2×C4×C83—21no—
637C2×C4×C83—21no—
638C2×C4×C83—21no—
639C2×C4×C83—21no—
640C2×C4×C83—21no—
641C2×C4×C83—21no—
642C2×C4×C83—21no—
643C2×C4×C83—21no—
644C2×C4×C83—21no—
645C2×C4×C83—21no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—44no—
661C2×C4×C83—82no—
662C2×C4×C83C2×#4112yes—
663C2×C4×C83H(5,𝔽2)12yes—
664C22⋊D83—44no—
665C22⋊D83—44no—
666C22⋊D83—44no—
667C22⋊D83—82no—
668C22⋊D83—82no—
669C22⋊D83—82no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—21no—
676C2×Dic83—21no—
677C2×Dic83—21no—
678C2×Dic83—21no—
679C2×Dic83—21no—
680C2×Dic83—21no—
681C2×Dic83—21no—
682C2×Dic83—21no—
683C2×Dic83—21no—
684C2×Dic83—21no—
685C2×Dic83—21no—
686C2×Dic83—21no—
687C2×Dic83—21no—
688C2×Dic83—21no—
689C2×Dic83—21no—
690C2×Dic83—21no—
691C2×Dic83—21no—
692C2×Dic83—21no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—44no—
712C2×Dic83—44no—
713C2×Dic83—44no—
714C2×Dic83C2×#4112yes—
715C4×D83—28no—
716C4×D83—44no—
717C4×D83—44no—
718C4×D83—44no—
719C4×D83—44no—
720C4×D83—44no—
721C4×D83—82no—
722C4×D83—82no—
723Dic166—44no—
724Dic166—82no—
725C22×C83—22no—
726C22×C83—22no—
727C22×C83—22no—
728C22×C83—41no—
729C22×C83—41no—
730C22×C83—41no—
731C22×C83—41no—
732C22×C83—41no—
733C22×C83—41no—
734C22×C83—41no—
735C22×C83—41no—
736C22×C83—41no—
737C22×C83—41no—
738C22×C83—41no—
739C22×C83—41no—
740C22×C83—41no—
741C22×C83—41no—
742C22×C83—41no—
743C22×C83—41no—
744C22×C83—41no—
745C22×C83—41no—
746C22×C83—41no—
747C22×C83—41no—
748C22×C83—41no—
749C22×C83—41no—
750C22×C83—41no—
751C22×C83—41no—
752C22×C83—41no—
753C22×C83C22×#4111yescharacteristic
754C22×C83C2×H(5,𝔽2)11yescharacteristic
755C22×C83C2×H(5,𝔽2)11yescharacteristic
756C22×C83C2×H(5,𝔽2)11yescharacteristic
757C22×C83C2×H(5,𝔽2)11yescharacteristic
758C22×C83C2×2−1+411yescharacteristic
759C22×C83#58511yescharacteristic
760C2×D83—22no—
761C2×D83—22no—
762C2×D83—22no—
763C2×D83—22no—
764C2×D83—22no—
765C2×D83—22no—
766C2×D83—22no—
767C2×D83—22no—
768C2×D83—22no—
769C2×D83—416no—
770C2×D83—41no—
771C2×D83—41no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83#53814yes—
775C4×C83—22no—
776C4×C83—22no—
777C4×C83—41no—
778C4×C83—41no—
779C4×C83—41no—
780C4×C83—41no—
781C4×C83—41no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786Dic83—22no—
787Dic83—41no—
788Dic83—41no—
789Dic83—41no—
790Dic83—41no—
791Dic83—41no—
792Dic83—41no—
793Dic83—41no—
794Dic83—41no—
795Dic83—41no—
796Dic83—41no—
797Dic83—41no—
798Dic83—41no—
799Dic83—41no—
800#36791—831nomaximal, Sylow
801C2×C83—42no—
802C2×C83—81no—
803C2×C83—81no—
804C2×C83—81no—
805C2×C83C2×#53811yescharacteristic
806C2×C83#349211yescharacteristic
807C2×C83#350611yescharacteristic
808C2×C83#353211yescharacteristic
809C2×C83#353411yescharacteristic
810C2×C83#353511yescharacteristic
811C2×C83#353611yescharacteristic
812D83—24no—
813D83—42no—
814#2849—831no—
815#2847—831no—
816#2804—831no—
817#2797—831no—
818#2788—831no—
819#2784—831no—
820#2780—831no—
821#2778—831no—
822#2751—831no—
823#2750—831no—
824#2745—831no—
825#2714—831no—
826#2710—831no—
827#2708—831no—
828#2708—831no—
829#2695—831no—
830#2686—831no—
831#2682D8311yescharacteristic, complemented
832#2643—831no—
833#2639—831no—
834#2481—831no—
835#2472—831no—
836#2443—831no—
837#2438—831no—
838#2430—831no—
839#2424—831no—
840#2411—831no—
841#2404—831no—
842#2322—831no—
843#2311—831no—
844C2×#385—831no—
845C83#3679111yescharacteristic, complemented, Sylow
846C22×#41—831no—
847C24×C4—831no—
848C2×#126—831no—
849C2×#124—831no—
850C2×#123—831no—
851C2×#123—831no—
852C2×#123C2×D8311yescharacteristic
853C2×#123C2×D8311yescharacteristic, complemented
854C2×C22⋊Q8—831no—
855C2×#121—831no—
856C2×#121—831no—
857C2×#121—831no—
858C2×#121C2×D8311yescharacteristic
859C2×#121C2×D8311yescharacteristic
860C2×#120—831no—
861C2×#120—831no—
862C2×#120—831no—
863C2×C4×D4—831no—
864C2×#117—831no—
865C22×C4⋊C4—831no—
866C22×C4⋊C4—831no—
867C22×C22⋊C4—831no—
868C22×C22⋊C4—831no—
869#401—831no—
870#400—831no—
871#400—831no—
872#400—831no—
873#400—831no—
874#400—831no—
875#400—831no—
876#400—831no—
877#400—831no—
878#399—831no—
879#398—831no—
880#398—831no—
881#398—831no—
882#397—831no—
883#397—831no—
884#397—831no—
885#397—831no—
886#397—831no—
887#397—831no—
888#397—831no—
889#397—831no—
890#396—831no—
891#396—831no—
892#396—831no—
893#396C2×D8311yescharacteristic, complemented
894#396C2×D8311yescharacteristic, complemented
895#395—831no—
896#395—831no—
897#394—831no—
898#394—831no—
899#394—831no—
900#394—831no—
901#394—831no—
902#394—831no—
903#394—831no—
904#394—831no—
905#394C2×D8311yescharacteristic
906#394C2×D8311yescharacteristic, complemented
907#393—831no—
908#393—831no—
909#393—831no—
910#393—831no—
911#393—831no—
912#393—831no—
913#392—831no—
914#392—831no—
915#392C2×D8311yescharacteristic
916#392C2×D8311yescharacteristic, complemented
917#391—831no—
918#391—831no—
919#391—831no—
920#390—831no—
921#390—831no—
922#390—831no—
923#390—831no—
924#390C2×D8311yescharacteristic
925#390C2×D8311yescharacteristic, complemented
926#389—831no—
927#389—831no—
928#389C2×D8311yescharacteristic, complemented
929#388—831no—
930#388—831no—
931#388—831no—
932#388—831no—
933#388—831no—
934#388—831no—
935#388—831no—
936#388—831no—
937#388—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#387—831no—
943#387—831no—
944#387—831no—
945#386—831no—
946#386—831no—
947#386—831no—
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#386—831no—
953#386—831no—
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#386—831no—
963#386—831no—
964#386—831no—
965#386—831no—
966#386—831no—
967#386—831no—
968#385—831no—
969#385—831no—
970#385—831no—
971#385—831no—
972#385—831no—
973#385—831no—
974#385—831no—
975#385—831no—
976#385—831no—
977#385—831no—
978#385—831no—
979#385—831no—
980#385—831no—
981#385—831no—
982#385—831no—
983#385—831no—
984#385—831no—
985#385C2×D8311yescharacteristic
986#385C2×D8311yescharacteristic, complemented
987#381—831no—
988#381—831no—
989#381—831no—
990#380—831no—
991#380—831no—
992#380—831no—
993#380—831no—
994#380—831no—
995#380—831no—
996#380—831no—
997#379—831no—
998C4×C22⋊C4—831no—
999C2×#95—831no—
1000C2×#95—831no—
1001C25—831no—
1002C2×#41—3322no—
1003C2×#41—3322no—
1004C2×#41—1664no—
1005C22×Q8—831no—
1006C22×Q8—831no—
1007C22×D4—831no—
1008C22×D4—831no—
1009C22×D4—831no—
1010C22×D4—831no—
1011C22×D4—831no—
1012C22×D4—831no—
1013C22×D4C22×D8311yescharacteristic
1014C22×D4C22×D8311yescharacteristic
1015C22×D4C22×D8311yescharacteristic
1016C22×D4C22×D8311yescharacteristic
1017C22×D4C22×D8311yescharacteristic
1018C22×D4C22×D8311yescharacteristic
1019C23×C4—3322no—
1020C23×C4—3322no—
1021C23×C4—3322no—
1022C23×C4—831no—
1023C23×C4—831no—
1024C23×C4—831no—
1025C23×C4—831no—
1026C23×C4—831no—
1027C23×C4—831no—
1028C23×C4—831no—
1029C23×C4—831no—
1030C23×C4—831no—
1031C23×C4—831no—
1032C23×C4—831no—
1033C23×C4C22×D8311yescharacteristic
1034C23×C4C22×D8311yescharacteristic
1035#126—3322no—
1036#124—3322no—
1037#123—42no—
1038#123—42no—
1039#123—3322no—
1040#123—1664no—
1041C22⋊Q8—3322no—
1042#121—42no—
1043#121—42no—
1044#121—3322no—
1045#121—3322no—
1046#121—3322no—
1047#120—3322no—
1048#120—3322no—
1049#120—3322no—
1050C4×D4—3322no—
1051#117—3322no—
1052C2×C4⋊C4—3322no—
1053C2×C4⋊C4—3322no—
1054C2×C4⋊C4—831no—
1055C2×C4⋊C4—831no—
1056C2×C4⋊C4—831no—
1057C2×C4⋊C4—831no—
1058C2×C4⋊C4—831no—
1059C2×C4⋊C4—831no—
1060C2×C4⋊C4—831no—
1061C2×C4⋊C4—831no—
1062C2×C4⋊C4—831no—
1063C2×C4⋊C4—831no—
1064C2×C4⋊C4—831no—
1065C2×C4⋊C4—831no—
1066C2×C4⋊C4—831no—
1067C2×C4⋊C4—831no—
1068C2×C4⋊C4—831no—
1069C2×C4⋊C4—831no—
1070C2×C4⋊C4—831no—
1071C2×C4⋊C4—831no—
1072C2×C4⋊C4—831no—
1073C2×C4⋊C4—831no—
1074C2×C4⋊C4C22×D8311yescharacteristic
1075C2×C4⋊C4C22×D8311yescharacteristic
1076C2×C4⋊C4C22×D8311yescharacteristic
1077C2×C4⋊C4C22×D8311yescharacteristic
1078C2×C4⋊C4C22×D8311yescharacteristic
1079C2×C4⋊C4C22×D8311yescharacteristic
1080C2×C4⋊C4C22×D8311yescharacteristic
1081C2×C4⋊C4C22×D8311yescharacteristic
1082C2×C22⋊C4—3322no—
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—831no—
1097C2×C22⋊C4—831no—
1098C2×C22⋊C4—831no—
1099C2×C22⋊C4—831no—
1100C2×C22⋊C4—831no—
1101C2×C22⋊C4—831no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—1664no—
1120C2×C22⋊C4C22×D8311yescharacteristic
1121C2×C22⋊C4C22×D8311yescharacteristic
1122C2×C22⋊C4C22×D8311yescharacteristic
1123C2×C22⋊C4C22×D8311yescharacteristic
1124C2×C22⋊C4C22×D8311yescharacteristic
1125C2×C22⋊C4C22×D8311yescharacteristic
1126C2×C22⋊C4C22×D8311yescharacteristic
1127C2×C22⋊C4C22×D8311yescharacteristic
1128C2×C22⋊C4C22×D8311yescharacteristic
1129C2×C22⋊C4C22×D8311yescharacteristic
1130C2×C22⋊C4C22×D8311yescharacteristic
1131C2×C22⋊C4C22×D8311yescharacteristic
1132C2×C22⋊C4C22×D8311yescharacteristic
1133C2×C22⋊C4C22×D8311yescharacteristic
1134C2×C42—831no—
1135C2×C42—831no—
1136C2×C42—831no—
1137C2×C42—831no—
1138C2×C42C22×D8311yescharacteristic
1139#95—831no—
1140#95—831no—
1141#95—831no—
1142#95—831no—
1143#95—831no—
1144#95—831no—
1145#95—831no—
1146#95—831no—
1147#95—831no—
1148#95—831no—
1149#95—831no—
1150#95—831no—
1151#95—831no—
1152#95—831no—
1153#95—831no—
1154#95—831no—
1155#95—831no—
1156#95—831no—
1157#95—831no—
1158#95—831no—
1159#95—831no—
1160#95—831no—
1161#95—831no—
1162#95—831no—
1163#95—831no—
1164#95—831no—
1165#95—831no—
1166#95—831no—
1167#95—831no—
1168#95—831no—
1169#95—831no—
1170#95—831no—
1171#95—831no—
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95C22×D8311yescharacteristic
1180#95C22×D8311yescharacteristic
1181#95C22×D8311yescharacteristic
1182#95C22×D8311yescharacteristic
1183C24—3321no—
1184C24—3321no—
1185C24—831no—
1186C24—831no—
1187C24—1662no—
1188C24—1662no—
1189C24—1662no—
1190C24—1662no—
1191C24—1662no—
1192C24C23×D8311yescharacteristic
1193C24C23×D8311yescharacteristic
1194C24C23×D8311yescharacteristic
1195C24C23×D8311yescharacteristic
1196#41—33216no—
1197C2×Q8—3321no—
1198C2×Q8—3321no—
1199C2×Q8—3321no—
1200C2×Q8—3321no—
1201C2×Q8—3321no—
1202C2×Q8—1662no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—3321no—
1222C2×D4—3321no—
1223C2×D4—3321no—
1224C2×D4—3321no—
1225C2×D4—3321no—
1226C2×D4—3321no—
1227C2×D4—1662no—
1228C2×D4—1662no—
1229C2×D4—1662no—
1230C2×D4—1662no—
1231C2×D4—1662no—
1232C2×D4—1662no—
1233C2×D4—1662no—
1234C2×D4—1662no—
1235C2×D4—1662no—
1236C2×D4—1662no—
1237C2×D4—1662no—
1238C2×D4—1662no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—3321no—
1246C22×C4—3321no—
1247C22×C4—3321no—
1248C22×C4—3321no—
1249C22×C4—3321no—
1250C22×C4—3321no—
1251C22×C4—3321no—
1252C22×C4—3321no—
1253C22×C4—3321no—
1254C22×C4—3321no—
1255C22×C4—3321no—
1256C22×C4—3321no—
1257C22×C4—3321no—
1258C22×C4—3321no—
1259C22×C4—33216no—
1260C22×C4—3321no—
1261C22×C4—3321no—
1262C22×C4—3321no—
1263C22×C4—3321no—
1264C22×C4—3321no—
1265C22×C4—3321no—
1266C22×C4—831no—
1267C22×C4—834no—
1268C22×C4—831no—
1269C22×C4—831no—
1270C22×C4—831no—
1271C22×C4—831no—
1272C22×C4—831no—
1273C22×C4—831no—
1274C22×C4—831no—
1275C22×C4—831no—
1276C22×C4—831no—
1277C22×C4—831no—
1278C22×C4—831no—
1279C22×C4—831no—
1280C22×C4—831no—
1281C22×C4—1662no—
1282C22×C4—1662no—
1283C22×C4—1662no—
1284C22×C4—1662no—
1285C22×C4—1662no—
1286C22×C4—1662no—
1287C22×C4—1662no—
1288C22×C4—1662no—
1289C22×C4—1662no—
1290C22×C4—1662no—
1291C22×C4—1662no—
1292C22×C4—1662no—
1293C22×C4C23×D8311yescharacteristic
1294C22×C4C23×D8311yescharacteristic
1295C22×C4C23×D8311yescharacteristic
1296C22×C4C23×D8311yescharacteristic
1297C22×C4C23×D8311yescharacteristic
1298C22×C4C23×D8311yescharacteristic
1299C22×C4C23×D8311yescharacteristic
1300C22×C4C23×D8311yescharacteristic
1301C22×C4C23×D8311yescharacteristic
1302C22×C4C23×D8311yescharacteristic
1303C22×C4C23×D8311yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—3321no—
1313C4⋊C4—3321no—
1314C4⋊C4—3321no—
1315C4⋊C4—3321no—
1316C4⋊C4—3321no—
1317C4⋊C4—3321no—
1318C4⋊C4—3321no—
1319C4⋊C4—3321no—
1320C4⋊C4—3321no—
1321C4⋊C4—3321no—
1322C4⋊C4—3321no—
1323C4⋊C4—3321no—
1324C4⋊C4—3321no—
1325C4⋊C4—3321no—
1326C4⋊C4—3321no—
1327C4⋊C4—3321no—
1328C4⋊C4—1662no—
1329C4⋊C4—1662no—
1330C4⋊C4—1662no—
1331C4⋊C4—1662no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—3321no—
1347C22⋊C4—3321no—
1348C22⋊C4—3321no—
1349C22⋊C4—3321no—
1350C22⋊C4—3321no—
1351C22⋊C4—3321no—
1352C22⋊C4—3321no—
1353C22⋊C4—3321no—
1354C22⋊C4—3321no—
1355C22⋊C4—3321no—
1356C22⋊C4—3321no—
1357C22⋊C4—3321no—
1358C22⋊C4—3321no—
1359C22⋊C4—3321no—
1360C22⋊C4—3321no—
1361C22⋊C4—3321no—
1362C22⋊C4—3321no—
1363C22⋊C4—3321no—
1364C22⋊C4—3321no—
1365C22⋊C4—3321no—
1366C22⋊C4—3321no—
1367C22⋊C4—3321no—
1368C22⋊C4—3321no—
1369C22⋊C4—3321no—
1370C22⋊C4—1662no—
1371C22⋊C4—1662no—
1372C22⋊C4—1662no—
1373C22⋊C4—1662no—
1374C22⋊C4—1662no—
1375C22⋊C4—1662no—
1376C22⋊C4—1662no—
1377C22⋊C4—1662no—
1378C22⋊C4—1662no—
1379C22⋊C4—1662no—
1380C22⋊C4—1662no—
1381C22⋊C4—1662no—
1382C42—41no—
1383C42—3321no—
1384C42—3321no—
1385C42—3321no—
1386C42—3321no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—3324no—
1415C23—3324no—
1416C23—3324no—
1417C23—3324no—
1418C23—3324no—
1419C23—3324no—
1420C23—832no—
1421C23—832no—
1422C23—832no—
1423C23—832no—
1424C23—1668no—
1425C23—1661no—
1426C23—1661no—
1427C23—1661no—
1428C23—1661no—
1429C23—1661no—
1430C23—1661no—
1431C23—1661no—
1432C23—1661no—
1433C23—1661no—
1434C23—1661no—
1435C23#1458183712yes—
1436C23C24×D8311yescharacteristic
1437Q8—3324no—
1438Q8—6642no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—3324no—
1446D4—3324no—
1447D4—3324no—
1448D4—6642no—
1449D4—6642no—
1450D4—6642no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—44no—
1483C2×C4—82no—
1484C2×C4—3324no—
1485C2×C4—3324no—
1486C2×C4—3324no—
1487C2×C4—3324no—
1488C2×C4—3324no—
1489C2×C4—3324no—
1490C2×C4—3324no—
1491C2×C4—3324no—
1492C2×C4—832no—
1493C2×C4—6642no—
1494C2×C4—6642no—
1495C2×C4—1668no—
1496C2×C4—1661no—
1497C2×C4—1661no—
1498C2×C4—1661no—
1499C2×C4—1661no—
1500C2×C4—1661no—
1501C2×C4—1661no—
1502C2×C4—1661no—
1503C2×C4—1661no—
1504C2×C4—1661no—
1505C2×C4—1661no—
1506C2×C4—1661no—
1507C2×C4—1661no—
1508C2×C4—1661no—
1509C2×C4—1661no—
1510C2×C4—1661no—
1511C2×C4—1661no—
1512C2×C4—1661no—
1513C2×C4—1661no—
1514C2×C4—1661no—
1515C2×C4—1661no—
1516C2×C4—1661no—
1517C2×C4—1661no—
1518C2×C4—1661no—
1519C2×C4—1661no—
1520C2×C4—1661no—
1521C2×C4—1661no—
1522C2×C4—1661no—
1523C2×C4—1661no—
1524C2×C4—1661no—
1525C2×C4—1661no—
1526C2×C4—1661no—
1527C2×C4—1661no—
1528C2×C4—1661no—
1529C2×C4—1661no—
1530C2×C4—1661no—
1531C2×C4—1661no—
1532C2×C4—1661no—
1533C2×C4—1661no—
1534C2×C4—1661no—
1535C2×C4—1661no—
1536C2×C4—1661no—
1537C2×C4#41×D8312yes—
1538C2×C4#1458183712yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—33216no—
1568C22—3321no—
1569C22—3321no—
1570C22—3321no—
1571C22—3321no—
1572C22—834no—
1573C22—1662no—
1574C22—1662no—
1575C22—1662no—
1576C22—1662no—
1577C22—1662no—
1578C22—1662no—
1579C22—1662no—
1580C22—1662no—
1581C22—1662no—
1582C22C2×#41×D8311yescharacteristic
1583C22H(5,𝔽2)×D8311yescharacteristic
1584C22H(5,𝔽2)×D8311yescharacteristic
1585C22C2×#1458183711yescharacteristic
1586C22C2×#1458183711yescharacteristic
1587C222−1+4×D8311yescharacteristic
1588C22#1912853611yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—3321no—
1601C4—3321no—
1602C4—3321no—
1603C4—3321no—
1604C4—3321no—
1605C4—3321no—
1606C4—3321no—
1607C4—3321no—
1608C4—3321no—
1609C4—3321no—
1610C4—3321no—
1611C4—3321no—
1612C4—3321no—
1613C4—1662no—
1614C2—42no—
1615C2—81no—
1616C2—81no—
1617C2—81no—
1618C2—3322no—
1619C2—1664no—
1620C2#538×D8311yescharacteristic
1621C2#2492116511yescharacteristic
1622C2#2492130711yescharacteristic
1623C2#2492161311yescharacteristic
1624C2#2492164311yescharacteristic
1625C2#2492166311yescharacteristic
1626C2#2492168111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2682C2
hypercenter#2682D83
hypocenterC83#36791
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2682

Complements

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

NH ≅ G/Ntype
1. #24915752C2semidirect
2. #24915742C2semidirect
3. #24915405C2semidirect
4. #24915317C2semidirect
5. #24915207C2semidirect
6. #24915165C2semidirect
7. #24915104C2semidirect
8. #24915086C2semidirect
9. #24914710C2semidirect
10. #24914703C2semidirect
11. #24914636C2semidirect
12. #24914266C2semidirect
13. #24914207C2semidirect
14. #24914177C2semidirect
15. #24914175C2semidirect
16. #24913994C2semidirect
17. #24913865C2semidirect
18. #24913420C2semidirect
19. #24913394C2semidirect
20. #24911725C2semidirect
21. #24911584C2semidirect
22. #24911195C2semidirect
23. #24911146C2semidirect
24. #24911066C2semidirect
25. #24910996C2semidirect
26. #24910845C2semidirect
27. #24910777C2semidirect
28. #24910130C2semidirect
29. #24910053C2semidirect
30. #385×D83C2semidirect
31. C83×#2682C2semidirect
34. C2×#14581785C22semidirect
51. C83⋊#401C22semidirect
52. #19127642C22semidirect
53. #19127641C22semidirect
54. #19127640C22semidirect
55. #19127640C22semidirect
56. #19127639C22semidirect
57. #19127639C22semidirect
58. #19127639C22semidirect
59. #19127639C22semidirect
60. #19127637C22semidirect
61. #19127634C22semidirect
62. #19127632C22semidirect
63. #19127631C22semidirect
65. #19127629C22semidirect
66. #19127629C22semidirect
67. #19127629C22semidirect
68. #19127629C22semidirect
69. #19127629C22semidirect
70. #19127629C22semidirect
71. #19127626C22semidirect
75. #19127622C22semidirect
76. #19127621C22semidirect
82. #19127615C22semidirect
83. #19127615C22semidirect
84. #19127615C22semidirect
88. #19127613C22semidirect
89. #19127613C22semidirect
90. #19127613C22semidirect
93. #19127607C22semidirect
94. #19127606C22semidirect
95. #19127605C22semidirect
96. #19127604C22semidirect
100. #19127598C22semidirect
101. #19127597C22semidirect
103. #19127595C22semidirect
105. #19127594C22semidirect
106. #19127594C22semidirect
110. #19127589C22semidirect
111. #19127587C22semidirect
112. #19127587C22semidirect
113. #19127586C22semidirect
114. #19127585C22semidirect
115. #19127584C22semidirect
116. #19127582C22semidirect
117. #19127582C22semidirect
122. #19127581C22semidirect
123. #19127581C22semidirect
142. #19127576C22semidirect
143. #19127576C22semidirect
147. #19127574C22semidirect
148. #19127574C22semidirect
162. #19127559C22semidirect
163. #19127559C22semidirect
164. #19127559C22semidirect
165. #19127559C22semidirect
173. C2×#123×C83C22semidirect
176. #396×C83C22semidirect
177. #396×C83C22semidirect
179. #394×C83C22semidirect
181. #392×C83C22semidirect
183. #390×C83C22semidirect
184. #389×C83C22semidirect
186. #385×C83C22semidirect
831. #2682D83semidirect
845. C83#36791semidirect
853. C2×#123C2×D83semidirect
893. #396C2×D83semidirect
894. #396C2×D83semidirect
906. #394C2×D83semidirect
916. #392C2×D83semidirect
925. #390C2×D83semidirect
928. #389C2×D83semidirect
986. #385C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157522
#249157422
#249154052
#249153172
#249152072
#249151652
#249151042
#249150862
#249147102
#249147032
#249146362
#249142662
#249142072
#249141772
#249141752
#249139942
#249138652
#249134202
#249133942
#249117252
#249115842
#249111952
#249111462
#249110662
#249109962
#249108452
#249107772
#249101302
#249100532
#385×D832
C83×#26822
#3679183