Finite Group Databasebeta

← #35577202

Subgroups — #35577202

Order 21248.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915790C211yesmaximal, characteristic, complemented
2#24915783C211yesmaximal, characteristic, complemented
3#24915777C211yesmaximal, characteristic, complemented
4#24915761C211yesmaximal, characteristic, complemented
5#24913524C211yesmaximal, characteristic, complemented
6#24913462C211yesmaximal, characteristic, complemented
7#24913449C211yesmaximal, characteristic, complemented
8#24913447C211yesmaximal, characteristic, complemented
9#24912119C211yesmaximal, characteristic, complemented
10#24912118C211yesmaximal, characteristic, complemented
11#24912022C211yesmaximal, characteristic, complemented
12#24912019C211yesmaximal, characteristic, complemented
13#24911960C211yesmaximal, characteristic, complemented
14#24911794C211yesmaximal, characteristic, complemented
15#24911708C211yesmaximal, characteristic, complemented
16#24911586C211yesmaximal, characteristic, complemented
17#24911513C211yesmaximal, characteristic, complemented
18#24911405C211yesmaximal, characteristic, complemented
19#24911220C211yesmaximal, characteristic, complemented
20#24911131C211yesmaximal, characteristic, complemented
21#24911019C211yesmaximal, characteristic, complemented
22#24910856C211yesmaximal, characteristic, complemented
23#24910839C211yesmaximal, characteristic
24#24910788C211yesmaximal, characteristic, complemented
25#24910191C211yesmaximal, characteristic, complemented
26#24910121C211yesmaximal, characteristic, complemented
27#24910090C211yesmaximal, characteristic, complemented
28C4×#14581762C211yesmaximal, characteristic, complemented
29C2×#19127577C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D83C211yesmaximal, characteristic, complemented
31C83×#2312C211yesmaximal, characteristic, complemented
32C23×C22⋊D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C2×#14581785C2211yescharacteristic, complemented
35C2×#14581778C2211yescharacteristic, complemented
36C2×#14581777C2211yescharacteristic, complemented
37C2×#14581774C2211yescharacteristic
38C2×#14581774C2211yescharacteristic
39C2×#14581770C2211yescharacteristic, complemented
40C2×#14581769C2211yescharacteristic
41C2×#14581765C2211yescharacteristic
42C2×#14581765C2211yescharacteristic
43C2×#14581762C2211yescharacteristic
44C2×#14581761C2211yescharacteristic
45C2×C4×D332C2211yescharacteristic, complemented
46C2×C4×D332C2211yescharacteristic, complemented
47C2×C4×C22⋊D83C2211yescharacteristic
48C22×C22⋊Dic83C2211yescharacteristic
49C22×(C2×D83)⋊C4C2211yescharacteristic
50C2×C22⋊C4×D83C2211yescharacteristic
51C2×C22⋊C4×D83C2211yescharacteristic
52C2×C42×D83C2211yescharacteristic, complemented
53C2×C42×D83C2211yescharacteristic, complemented
54C83⋊#401C2211yescharacteristic, complemented
55#19127642C2211yescharacteristic, complemented
56#19127641C2211yescharacteristic, complemented
57#19127640C2211yescharacteristic, complemented
58#19127639C2211yescharacteristic, complemented
59#19127636C2211yescharacteristic, complemented
60#19127634C2211yescharacteristic, complemented
61#19127630C2211yescharacteristic, complemented
62#19127629C2211yescharacteristic, complemented
63#19127629C2211yescharacteristic, complemented
64#19127629C2211yescharacteristic, complemented
65#19127628C2211yescharacteristic, complemented
66#19127627C2211yescharacteristic, complemented
67#19127627C2211yescharacteristic, complemented
68#19127626C2211yescharacteristic, complemented
69#19127625C2211yescharacteristic, complemented
70#19127624C2211yescharacteristic, complemented
71#19127623C2211yescharacteristic, complemented
72#19127619C2211yescharacteristic, complemented
73#19127618C2211yescharacteristic, complemented
74#19127617C2211yescharacteristic
75#19127617C2211yescharacteristic
76#19127617C2211yescharacteristic, complemented
77#19127616C2211yescharacteristic
78#19127616C2211yescharacteristic
79#19127616C2211yescharacteristic
80#19127616C2211yescharacteristic
81#19127616C2211yescharacteristic, complemented
82#19127614C2211yescharacteristic, complemented
83#19127613C2211yescharacteristic, complemented
84#19127610C2211yescharacteristic
85#19127610C2211yescharacteristic
86#19127607C2211yescharacteristic, complemented
87#19127605C2211yescharacteristic, complemented
88#19127601C2211yescharacteristic, complemented
89#19127601C2211yescharacteristic, complemented
90#19127601C2211yescharacteristic, complemented
91#19127599C2211yescharacteristic, complemented
92#19127598C2211yescharacteristic, complemented
93#19127596C2211yescharacteristic, complemented
94#19127595C2211yescharacteristic, complemented
95#19127595C2211yescharacteristic, complemented
96#19127595C2211yescharacteristic, complemented
97#19127594C2211yescharacteristic, complemented
98#19127594C2211yescharacteristic, complemented
99#19127593C2211yescharacteristic, complemented
100#19127592C2211yescharacteristic, complemented
101#19127592C2211yescharacteristic, complemented
102#19127591C2211yescharacteristic, complemented
103#19127589C2211yescharacteristic, complemented
104#19127589C2211yescharacteristic, complemented
105#19127589C2211yescharacteristic, complemented
106#19127589C2211yescharacteristic, complemented
107#19127588C2211yescharacteristic, complemented
108#19127587C2211yescharacteristic, complemented
109#19127587C2211yescharacteristic, complemented
110#19127586C2211yescharacteristic, complemented
111#19127585C2211yescharacteristic, complemented
112#19127585C2211yescharacteristic, complemented
113#19127585C2211yescharacteristic, complemented
114#19127585C2211yescharacteristic, complemented
115#19127584C2211yescharacteristic, complemented
116#19127580C2211yescharacteristic
117#19127579C2211yescharacteristic, complemented
118#19127579C2211yescharacteristic, complemented
119#19127579C2211yescharacteristic, complemented
120#19127578C2211yescharacteristic
121#19127578C2211yescharacteristic
122#19127578C2211yescharacteristic
123#19127577C2211yescharacteristic
124#19127577C2211yescharacteristic
125#19127577C2211yescharacteristic
126#19127577C2211yescharacteristic
127#19127577C2211yescharacteristic
128#19127577C2211yescharacteristic
129#19127577C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127577C2211yescharacteristic
132#19127577C2211yescharacteristic
133#19127577C2211yescharacteristic
134#19127577C2211yescharacteristic
135#19127577C2211yescharacteristic, complemented
136#19127577C2211yescharacteristic, complemented
137#19127576C2211yescharacteristic
138#19127576C2211yescharacteristic
139#19127575C2211yescharacteristic, complemented
140#19127575C2211yescharacteristic, complemented
141#19127575C2211yescharacteristic, complemented
142#19127574C2211yescharacteristic
143#19127573C2211yescharacteristic
144#19127573C2211yescharacteristic
145#19127573C2211yescharacteristic
146#19127572C2211yescharacteristic, complemented
147#19127572C2211yescharacteristic, complemented
148#19127568C2211yescharacteristic, complemented
149#19127568C2211yescharacteristic, complemented
150#19127565C2211yescharacteristic, complemented
151#19127565C2211yescharacteristic, complemented
152#19127563C2211yescharacteristic, complemented
153#19127563C2211yescharacteristic, complemented
154#19127560C2211yescharacteristic, complemented
155#19127560C2211yescharacteristic, complemented
156#19127559C2211yescharacteristic
157#19127557C2211yescharacteristic
158#19127556C2211yescharacteristic
159C22⋊C4×Dic83C2211yescharacteristic
160C22⋊C4×Dic83C2211yescharacteristic
161C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
165C4×C22⋊Dic83C2211yescharacteristic
166#19127548C2211yescharacteristic, complemented
167#19127548C2211yescharacteristic, complemented
168C2×C83⋊#95C2211yescharacteristic
169C2×C83⋊#95C2211yescharacteristic
170#95×D83C2211yescharacteristic, complemented
171#95×D83C2211yescharacteristic, complemented
172C22×C22⋊C4×C83C2211yescharacteristic
173#388×C83C2211yescharacteristic, complemented
174#388×C83C2211yescharacteristic, complemented
175#388×C83C2211yescharacteristic, complemented
176#388×C83C2211yescharacteristic, complemented
177#388×C83C2211yescharacteristic, complemented
178#388×C83C2211yescharacteristic, complemented
179#388×C83C2211yescharacteristic, complemented
180#388×C83C2211yescharacteristic, complemented
181#380×C83C2211yescharacteristic
182#380×C83C2211yescharacteristic
183#379×C83C2211yescharacteristic
184#379×C83C2211yescharacteristic
185C4×C22⋊C4×C83C2211yescharacteristic
186C4×C22⋊C4×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C22×Dic166C2311yescharacteristic
189C22×D332C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×C22⋊D83—24no—
192C22×C22⋊D83—42no—
193C22×C22⋊D83—42no—
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C23×Dic83C2311yescharacteristic
202C23×Dic83C2311yescharacteristic
203C23×Dic83C2311yescharacteristic
204C22×C4×D83—24no—
205C22×C4×D83—42no—
206C22×C4×D83—42no—
207C22×C4×D83C2311yescharacteristic
208C22×C4×D83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216#14581785—42no—
217#14581778—42no—
218#14581777—42no—
219#14581774—42no—
220#14581774—42no—
221#14581770—42no—
222#14581769—24no—
223#14581765—42no—
224#14581765—42no—
225#14581762—24no—
226#14581761—24no—
227C4×D332—42no—
228C4×D332—42no—
229C4×C22⋊D83—24no—
230C2×C4⋊Dic83C2311yescharacteristic
231C2×C4⋊Dic83C2311yescharacteristic
232C2×C4⋊Dic83C2311yescharacteristic
233C2×C4⋊Dic83C2311yescharacteristic
234C2×C4⋊Dic83C2311yescharacteristic
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⋊Dic83—42no—
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×(C2×D83)⋊C4—42no—
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
286C22⋊C4×D83—24no—
287C22⋊C4×D83—24no—
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
293C2×C4×Dic83C2311yescharacteristic
294C2×C4×Dic83C2311yescharacteristic
295C42×D83—42no—
296C42×D83—42no—
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
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C25×C83C2311yescharacteristic
334C23×C4×C83C2311yescharacteristic
335C23×C4×C83C2311yescharacteristic
336C2×C4⋊C4×C83C2311yescharacteristic
337C2×C4⋊C4×C83C2311yescharacteristic
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C4⋊C4×C83C2311yescharacteristic
340C2×C22⋊C4×C83—24no—
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×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C42×C83C2311yescharacteristic
358C2×C42×C83C2311yescharacteristic
359C2×C42×C83C2311yescharacteristic
360C2×C42×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369C23×D83—22no—
370C23×D83—22no—
371C23×D83—22no—
372C23×D83—22no—
373C23×D83—41no—
374C23×D83—41no—
375C23×D83#4114yes—
376C23×D83C2411yescharacteristic
377C23×D83C2411yescharacteristic
378C23×D83C2411yescharacteristic
379C2×Dic166—22no—
380C2×Dic166—41no—
381C2×Dic166—41no—
382C2×D332—22no—
383C2×D332—22no—
384C2×D332—22no—
385C2×D332—22no—
386C2×D332—41no—
387C2×D332—41no—
388C2×C22⋊D83—22no—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—22no—
391C2×C22⋊D83—22no—
392C2×C22⋊D83—22no—
393C2×C22⋊D83—22no—
394C2×C22⋊D83—22no—
395C2×C22⋊D83—22no—
396C2×C22⋊D83—22no—
397C2×C22⋊D83—22no—
398C2×C22⋊D83—22no—
399C2×C22⋊D83—22no—
400C2×C22⋊D83—22no—
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—416no—
410C22×Dic83—22no—
411C22×Dic83—22no—
412C22×Dic83—22no—
413C22×Dic83—22no—
414C22×Dic83—41no—
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
431C22×Dic83C2411yescharacteristic
432C2×C4×D83—22no—
433C2×C4×D83—22no—
434C2×C4×D83—22no—
435C2×C4×D83—22no—
436C2×C4×D83—22no—
437C2×C4×D83—22no—
438C2×C4×D83—22no—
439C2×C4×D83—22no—
440C2×C4×D83—22no—
441C2×C4×D83—22no—
442C2×C4×D83—22no—
443C2×C4×D83—22no—
444C2×C4×D83—22no—
445C2×C4×D83—22no—
446C2×C4×D83—22no—
447C2×C4×D83—22no—
448C2×C4×D83—22no—
449C2×C4×D83—416no—
450C2×C4×D83—41no—
451C2×C4×D83—41no—
452C2×C4×D83—41no—
453C2×C4×D83—41no—
454C2×C4×D83—41no—
455C2×C4×D83—41no—
456C2×C4×D83—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83—41no—
460C4⋊Dic83—22no—
461C4⋊Dic83—22no—
462C4⋊Dic83—41no—
463C4⋊Dic83—41no—
464C4⋊Dic83—41no—
465Dic83⋊C4—22no—
466Dic83⋊C4—22no—
467Dic83⋊C4—22no—
468Dic83⋊C4—41no—
469Dic83⋊C4—41no—
470Dic83⋊C4—41no—
471Dic83⋊C4—41no—
472Dic83⋊C4—41no—
473Dic83⋊C4—41no—
474Dic83⋊C4—41no—
475Dic83⋊C4—41no—
476Dic83⋊C4—41no—
477Dic83⋊C4—41no—
478C22⋊Dic83—22no—
479C22⋊Dic83—22no—
480C22⋊Dic83—22no—
481C22⋊Dic83—22no—
482C22⋊Dic83—22no—
483C22⋊Dic83—22no—
484C22⋊Dic83—41no—
485C22⋊Dic83—41no—
486C22⋊Dic83—41no—
487C22⋊Dic83—41no—
488C22⋊Dic83—41no—
489C22⋊Dic83—41no—
490C22⋊Dic83#4114yes—
491(C2×D83)⋊C4—22no—
492(C2×D83)⋊C4—22no—
493(C2×D83)⋊C4—22no—
494(C2×D83)⋊C4—22no—
495(C2×D83)⋊C4—22no—
496(C2×D83)⋊C4—22no—
497(C2×D83)⋊C4—22no—
498(C2×D83)⋊C4—22no—
499(C2×D83)⋊C4—22no—
500(C2×D83)⋊C4—22no—
501(C2×D83)⋊C4—22no—
502(C2×D83)⋊C4—22no—
503(C2×D83)⋊C4—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—
514C4×Dic83—22no—
515C4×Dic83—22no—
516C4×Dic83—22no—
517C4×Dic83—41no—
518C4×Dic83—41no—
519C4×Dic83—41no—
520C4×Dic83—41no—
521C24×C83—22no—
522C24×C83—22no—
523C24×C83—22no—
524C24×C83—41no—
525C24×C83—41no—
526C24×C83—41no—
527C24×C83—41no—
528C24×C83C2411yescharacteristic
529C24×C83C2411yescharacteristic
530C24×C83C2411yescharacteristic
531C22×C4×C83—22no—
532C22×C4×C83—41no—
533C22×C4×C83—41no—
534C22×C4×C83—41no—
535C22×C4×C83—41no—
536C22×C4×C83#4114yes—
537C22×C4×C83C2411yescharacteristic
538C22×C4×C83C2411yescharacteristic
539C22×C4×C83C2411yescharacteristic
540C22×C4×C83C2411yescharacteristic
541C22×C4×C83C2411yescharacteristic
542C22×C4×C83C2411yescharacteristic
543C22×C4×C83C2411yescharacteristic
544C22×C4×C83C2411yescharacteristic
545C22×C4×C83C2411yescharacteristic
546C22×C4×C83C2411yescharacteristic
547C22×C4×C83C2411yescharacteristic
548C22×C4×C83C2411yescharacteristic
549C4⋊C4×C83—41no—
550C4⋊C4×C83—41no—
551C4⋊C4×C83—41no—
552C4⋊C4×C83—41no—
553C22⋊C4×C83—22no—
554C22⋊C4×C83—22no—
555C22⋊C4×C83—22no—
556C22⋊C4×C83—22no—
557C22⋊C4×C83—22no—
558C22⋊C4×C83—22no—
559C22⋊C4×C83—22no—
560C22⋊C4×C83—22no—
561C22⋊C4×C83—41no—
562C22⋊C4×C83—41no—
563C22⋊C4×C83—41no—
564C22⋊C4×C83—41no—
565C22⋊C4×C83—41no—
566C22⋊C4×C83—41no—
567C22⋊C4×C83—41no—
568C22⋊C4×C83—41no—
569C42×C83—41no—
570C42×C83—41no—
571C42×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—44no—
592C23×C83—44no—
593C23×C83—44no—
594C23×C83—82no—
595C23×C83—82no—
596C23×C83—82no—
597C23×C83—82no—
598C23×C83C2×#4112yes—
599C23×C83C2×#4112yes—
600C23×C83C2×#4112yes—
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—28no—
614C22×D83—21no—
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—44no—
622C22×D83—44no—
623C22×D83—44no—
624C22×D83—44no—
625C22×D83—44no—
626C22×D83C2×#4112yes—
627C22×D83C2×#4112yes—
628C22×D83H(5,𝔽2)12yes—
629C22×D83H(5,𝔽2)12yes—
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—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—44no—
665C2×C4×C83—82no—
666C2×C4×C83C2×#4112yes—
667C2×C4×C83C2×#4112yes—
668C22⋊D83—44no—
669C22⋊D83—44no—
670C22⋊D83—44no—
671C22⋊D83—44no—
672C22⋊D83—44no—
673C22⋊D83—82no—
674C22⋊D83—82no—
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—82no—
714C2×Dic83C2×#4112yes—
715C2×Dic83C2×#4112yes—
716C2×Dic83H(5,𝔽2)12yes—
717D332—44no—
718D332—44no—
719C4×D83—28no—
720C4×D83—44no—
721C4×D83—44no—
722C4×D83—44no—
723C4×D83—44no—
724C4×D83—44no—
725C4×D83—44no—
726C4×D83—44no—
727C4×D83—82no—
728Dic166—82no—
729C22×C83—22no—
730C22×C83—22no—
731C22×C83—22no—
732C22×C83—22no—
733C22×C83—22no—
734C22×C83—22no—
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—88no—
750C22×C83#52914yes—
751C22×C83C22×#4111yescharacteristic
752C22×C83C22×#4111yescharacteristic
753C22×C83C22×#4111yescharacteristic
754C22×C83C2×H(5,𝔽2)11yescharacteristic
755C22×C83C2×H(5,𝔽2)11yescharacteristic
756C22×C83C2×H(5,𝔽2)11yescharacteristic
757C22×C83#58511yescharacteristic
758C2×D83—22no—
759C2×D83—22no—
760C2×D83—22no—
761C2×D83—22no—
762C2×D83—22no—
763C2×D83—22no—
764C2×D83—22no—
765C2×D83—22no—
766C2×D83—22no—
767C2×D83—416no—
768C2×D83—41no—
769C2×D83—41no—
770C2×D83—41no—
771C2×D83—41no—
772C2×D83—41no—
773C2×D83—41no—
774C2×D83—41no—
775C2×D83—41no—
776C2×D83—41no—
777C2×D83—41no—
778C2×D83—41no—
779C2×D83#53814yes—
780C4×C83—22no—
781C4×C83—22no—
782C4×C83—41no—
783C4×C83—41no—
784C4×C83—41no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788C4×C83—41no—
789C4×C83—41no—
790C4×C83—41no—
791C4×C83—41no—
792Dic83—22no—
793Dic83—22no—
794Dic83—22no—
795Dic83—41no—
796Dic83—41no—
797Dic83—41no—
798Dic83—41no—
799Dic83—41no—
800Dic83—41no—
801Dic83—41no—
802Dic83—41no—
803Dic83—41no—
804Dic83—41no—
805#34998—831nomaximal, Sylow
806C2×C83—24no—
807C2×C83—81no—
808C2×C83—81no—
809C2×C83C2×#52911yescharacteristic
810C2×C83C2×#53811yescharacteristic
811C2×C83#345911yescharacteristic
812C2×C83#349011yescharacteristic
813C2×C83#349411yescharacteristic
814C2×C83#351311yescharacteristic
815C2×C83#351911yescharacteristic
816D83—24no—
817D83—42no—
818D83—81no—
819#2854—831no—
820#2853—831no—
821#2852—831no—
822#2850—831no—
823#2653—831no—
824#2649—831no—
825#2648—831no—
826#2648—831no—
827#2518—831no—
828#2518—831no—
829#2510—831no—
830#2510—831no—
831#2505—831no—
832#2488—831no—
833#2480—831no—
834#2472—831no—
835#2467—831no—
836#2459—831no—
837#2444—831no—
838#2437—831no—
839#2425—831no—
840#2412—831no—
841#2410—831no—
842#2405—831no—
843#2329—831no—
844#2321—831no—
845#2318—831no—
846#2312D8311yescharacteristic, complemented
847C4×#120—831no—
848C2×#386—831no—
849C2×C4×C22⋊C4—831no—
850C83#3499811yescharacteristic, complemented, Sylow
851C23×D4—831no—
852C24×C4—831no—
853C2×#126—831no—
854C2×#124—831no—
855C2×#123—831no—
856C2×#123—831no—
857C2×#123—831no—
858C2×C22⋊Q8—831no—
859C2×C22⋊Q8—831no—
860C2×#121—831no—
861C2×#121—831no—
862C2×#120—831no—
863C2×#120—831no—
864C2×C4×D4—831no—
865C2×C4×D4—831no—
866C2×C4×D4—831no—
867C22×C22⋊C4—831no—
868C22×C22⋊C4—831no—
869C22×C22⋊C4—831no—
870C22×C22⋊C4—831no—
871C22×C22⋊C4C2×D8311yescharacteristic
872C22×C42—831no—
873C22×C42—831no—
874#401—831no—
875#400—831no—
876#400—831no—
877#400—831no—
878#400—831no—
879#399—831no—
880#398—831no—
881#397—831no—
882#397—831no—
883#397—831no—
884#397—831no—
885#397—831no—
886#397—831no—
887#397—831no—
888#397—831no—
889#396—831no—
890#396—831no—
891#396—831no—
892#394—831no—
893#394—831no—
894#394—831no—
895#394—831no—
896#394—831no—
897#394—831no—
898#394—831no—
899#394—831no—
900#394—831no—
901#394—831no—
902#393—831no—
903#393—831no—
904#392—831no—
905#392—831no—
906#391—831no—
907#391—831no—
908#390—831no—
909#390—831no—
910#390—831no—
911#389—831no—
912#389—831no—
913#389—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#388C2×D8311yescharacteristic, complemented
928#388C2×D8311yescharacteristic, complemented
929#388C2×D8311yescharacteristic, complemented
930#388C2×D8311yescharacteristic, complemented
931#388C2×D8311yescharacteristic, complemented
932#388C2×D8311yescharacteristic, complemented
933#388C2×D8311yescharacteristic, complemented
934#388C2×D8311yescharacteristic, complemented
935#387—831no—
936#387—831no—
937#387—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#387—831no—
943#387—831no—
944#386—831no—
945#386—831no—
946#386—831no—
947#386—831no—
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#386—831no—
953#386—831no—
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#386—831no—
963#386—831no—
964#386—831no—
965#385—831no—
966#385—831no—
967#385—831no—
968#385—831no—
969#385—831no—
970#385—831no—
971#385—831no—
972#385—831no—
973#385—831no—
974#385—831no—
975#385—831no—
976#383—831no—
977#383—831no—
978#382—831no—
979#382—831no—
980#381—831no—
981#381—831no—
982#380—831no—
983#380—831no—
984#380—831no—
985#380C2×D8311yescharacteristic
986#380C2×D8311yescharacteristic
987#379—831no—
988#379—831no—
989#379C2×D8311yescharacteristic
990#379C2×D8311yescharacteristic
991C4×C22⋊C4—831no—
992C4×C22⋊C4—831no—
993C4×C22⋊C4—831no—
994C4×C22⋊C4—831no—
995C4×C22⋊C4—831no—
996C4×C22⋊C4—831no—
997C4×C22⋊C4—831no—
998C4×C22⋊C4—831no—
999C4×C22⋊C4—831no—
1000C4×C22⋊C4C2×D8311yescharacteristic
1001C4×C22⋊C4C2×D8311yescharacteristic
1002C2×#95—831no—
1003C2×#95—831no—
1004C2×#95—831no—
1005C2×#95—831no—
1006C25—831no—
1007C25C22×D8311yescharacteristic
1008C22×Q8—831no—
1009C22×D4—3322no—
1010C22×D4—3322no—
1011C22×D4—831no—
1012C22×D4—831no—
1013C22×D4—831no—
1014C22×D4—831no—
1015C22×D4—831no—
1016C22×D4—831no—
1017C22×D4—831no—
1018C22×D4—831no—
1019C22×D4—831no—
1020C22×D4—1664no—
1021C23×C4—3322no—
1022C23×C4—3322no—
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×C4—831no—
1034C23×C4—831no—
1035C23×C4—1664no—
1036C23×C4C22×D8311yescharacteristic
1037C23×C4C22×D8311yescharacteristic
1038#126—3322no—
1039#124—3322no—
1040#123—3322no—
1041#123—3322no—
1042#123—3322no—
1043C22⋊Q8—3322no—
1044C22⋊Q8—1664no—
1045#121—3322no—
1046#121—3322no—
1047#120—1664no—
1048#120—1664no—
1049C4×D4—3322no—
1050C4×D4—3322no—
1051C4×D4—1664no—
1052C2×C4⋊C4—831no—
1053C2×C4⋊C4—831no—
1054C2×C4⋊C4—831no—
1055C2×C4⋊C4—831no—
1056C2×C4⋊C4—831no—
1057C2×C4⋊C4—831no—
1058C2×C4⋊C4—831no—
1059C2×C4⋊C4—831no—
1060C2×C4⋊C4—831no—
1061C2×C4⋊C4—831no—
1062C2×C4⋊C4—831no—
1063C2×C4⋊C4—831no—
1064C2×C4⋊C4—831no—
1065C2×C4⋊C4—831no—
1066C2×C4⋊C4—831no—
1067C2×C4⋊C4—831no—
1068C2×C4⋊C4—831no—
1069C2×C4⋊C4—831no—
1070C2×C4⋊C4C22×D8311yescharacteristic
1071C2×C4⋊C4C22×D8311yescharacteristic
1072C2×C4⋊C4C22×D8311yescharacteristic
1073C2×C4⋊C4C22×D8311yescharacteristic
1074C2×C22⋊C4—24no—
1075C2×C22⋊C4—3322no—
1076C2×C22⋊C4—3322no—
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—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—1664no—
1114C2×C22⋊C4—1664no—
1115C2×C22⋊C4C22×D8311yescharacteristic
1116C2×C22⋊C4C22×D8311yescharacteristic
1117C2×C22⋊C4C22×D8311yescharacteristic
1118C2×C22⋊C4C22×D8311yescharacteristic
1119C2×C22⋊C4C22×D8311yescharacteristic
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×C42—3322no—
1132C2×C42—3322no—
1133C2×C42—831no—
1134C2×C42—831no—
1135C2×C42—831no—
1136C2×C42—831no—
1137C2×C42—831no—
1138C2×C42—831no—
1139C2×C42—831no—
1140C2×C42C22×D8311yescharacteristic
1141C2×C42C22×D8311yescharacteristic
1142C2×C42C22×D8311yescharacteristic
1143C2×C42C22×D8311yescharacteristic
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#95—831no—
1180#95C22×D8311yescharacteristic
1181#95C22×D8311yescharacteristic
1182#95C22×D8311yescharacteristic
1183#95C22×D8311yescharacteristic
1184#95C22×D8311yescharacteristic
1185#95C22×D8311yescharacteristic
1186#95C22×D8311yescharacteristic
1187#95C22×D8311yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—3321no—
1196C24—3321no—
1197C24—834no—
1198C24—831no—
1199C24—831no—
1200C24—831no—
1201C24—1662no—
1202C24—1662no—
1203C24—1662no—
1204C24—1662no—
1205C24C23×D8311yescharacteristic
1206C24C23×D8311yescharacteristic
1207C24C23×D8311yescharacteristic
1208C2×Q8—3321no—
1209C2×Q8—3321no—
1210C2×Q8—1662no—
1211C2×D4—3321no—
1212C2×D4—3321no—
1213C2×D4—33216no—
1214C2×D4—3321no—
1215C2×D4—3321no—
1216C2×D4—3321no—
1217C2×D4—3321no—
1218C2×D4—3321no—
1219C2×D4—3321no—
1220C2×D4—3321no—
1221C2×D4—3321no—
1222C2×D4—1662no—
1223C2×D4—1662no—
1224C2×D4—1662no—
1225C2×D4—1662no—
1226C2×D4—1662no—
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—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—3321no—
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—33216no—
1255C22×C4—3321no—
1256C22×C4—3321no—
1257C22×C4—3321no—
1258C22×C4—3321no—
1259C22×C4—3321no—
1260C22×C4—831no—
1261C22×C4—831no—
1262C22×C4—831no—
1263C22×C4—831no—
1264C22×C4—831no—
1265C22×C4—831no—
1266C22×C4—831no—
1267C22×C4—831no—
1268C22×C4—831no—
1269C22×C4—831no—
1270C22×C4—831no—
1271C22×C4—831no—
1272C22×C4—831no—
1273C22×C4—1662no—
1274C22×C4—1662no—
1275C22×C4—1662no—
1276C22×C4—1662no—
1277C22×C4—1662no—
1278C22×C4—1662no—
1279C22×C4—1662no—
1280C22×C4—1662no—
1281C22×C4—1662no—
1282C22×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×C4—1662no—
1294C22×C4#1305059014yes—
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
1304C22×C4C23×D8311yescharacteristic
1305C22×C4C23×D8311yescharacteristic
1306C22×C4C23×D8311yescharacteristic
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—3321no—
1312C4⋊C4—3321no—
1313C4⋊C4—3321no—
1314C4⋊C4—3321no—
1315C4⋊C4—3321no—
1316C4⋊C4—3321no—
1317C4⋊C4—3321no—
1318C4⋊C4—3321no—
1319C4⋊C4—3321no—
1320C4⋊C4—3321no—
1321C4⋊C4—3321no—
1322C4⋊C4—3321no—
1323C4⋊C4—3321no—
1324C4⋊C4—1662no—
1325C4⋊C4—1662no—
1326C4⋊C4—1662no—
1327C4⋊C4—1662no—
1328C4⋊C4—1662no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
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—3321no—
1346C22⋊C4—3321no—
1347C22⋊C4—3321no—
1348C22⋊C4—3321no—
1349C22⋊C4—3321no—
1350C22⋊C4—3321no—
1351C22⋊C4—3321no—
1352C22⋊C4—3321no—
1353C22⋊C4—3321no—
1354C22⋊C4—3321no—
1355C22⋊C4—3321no—
1356C22⋊C4—3321no—
1357C22⋊C4—3321no—
1358C22⋊C4—3321no—
1359C22⋊C4—3321no—
1360C22⋊C4—3321no—
1361C22⋊C4—3321no—
1362C22⋊C4—834no—
1363C22⋊C4—1662no—
1364C22⋊C4—1662no—
1365C22⋊C4—1662no—
1366C22⋊C4—1662no—
1367C22⋊C4—1662no—
1368C22⋊C4—1662no—
1369C22⋊C4—1662no—
1370C22⋊C4—1662no—
1371C22⋊C4—1662no—
1372C22⋊C4—1662no—
1373C22⋊C4—1662no—
1374C22⋊C4—1662no—
1375C22⋊C4—1662no—
1376C22⋊C4—1662no—
1377C22⋊C4—1662no—
1378C22⋊C4—1662no—
1379C22⋊C4—1662no—
1380C22⋊C4—1662no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—3321no—
1386C42—3321no—
1387C42—3321no—
1388C42—3321no—
1389C42—1662no—
1390C42—1662no—
1391C42—1662no—
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—44no—
1411C23—44no—
1412C23—44no—
1413C23—82no—
1414C23—82no—
1415C23—82no—
1416C23—82no—
1417C23—3324no—
1418C23—3324no—
1419C23—3324no—
1420C23—3324no—
1421C23—3324no—
1422C23—832no—
1423C23—832no—
1424C23—832no—
1425C23—832no—
1426C23—1668no—
1427C23—1661no—
1428C23—1661no—
1429C23—1661no—
1430C23—1661no—
1431C23—1661no—
1432C23—1661no—
1433C23—1661no—
1434C23—1668no—
1435C23—1661no—
1436C23—1661no—
1437C23—1661no—
1438C23—1661no—
1439C23—1661no—
1440C23—1661no—
1441C23—1661no—
1442C23—1661no—
1443C23—1661no—
1444C23—1661no—
1445C23#41×D8312yes—
1446C23#41×D8312yes—
1447C23C2×#1305059012yes—
1448C23C24×D8311yescharacteristic
1449Q8—6642no—
1450D4—3324no—
1451D4—3324no—
1452D4—3324no—
1453D4—3324no—
1454D4—3324no—
1455D4—3324no—
1456D4—3324no—
1457D4—6642no—
1458D4—6642no—
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—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—44no—
1494C2×C4—82no—
1495C2×C4—3324no—
1496C2×C4—3324no—
1497C2×C4—3324no—
1498C2×C4—3324no—
1499C2×C4—3324no—
1500C2×C4—3324no—
1501C2×C4—3324no—
1502C2×C4—3324no—
1503C2×C4—3324no—
1504C2×C4—832no—
1505C2×C4—832no—
1506C2×C4—832no—
1507C2×C4—6642no—
1508C2×C4—6642no—
1509C2×C4—1668no—
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—1661no—
1538C2×C4—1661no—
1539C2×C4—1661no—
1540C2×C4—1661no—
1541C2×C4—1661no—
1542C2×C4—1661no—
1543C2×C4—1661no—
1544C2×C4—1661no—
1545C2×C4—1661no—
1546C2×C4C2×#1305059012yes—
1547C2×C4C2×#1305059012yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
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—41no—
1568C22—88no—
1569C22—33216no—
1570C22—3321no—
1571C22—3321no—
1572C22—3321no—
1573C22—3321no—
1574C22—3321no—
1575C22—3321no—
1576C22—3321no—
1577C22—3321no—
1578C22—3321no—
1579C22—3321no—
1580C22—3321no—
1581C22—834no—
1582C22—1662no—
1583C22—1662no—
1584C22—1662no—
1585C22—1662no—
1586C22—1662no—
1587C22—1662no—
1588C22—1662no—
1589C22—1662no—
1590C22—1662no—
1591C22#1912822914yes—
1592C22C2×#41×D8311yescharacteristic
1593C22C2×#41×D8311yescharacteristic
1594C22C22×#1305059011yescharacteristic
1595C22H(5,𝔽2)×D8311yescharacteristic
1596C22H(5,𝔽2)×D8311yescharacteristic
1597C22H(5,𝔽2)×D8311yescharacteristic
1598C22#1912853611yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—3321no—
1612C4—3321no—
1613C4—3321no—
1614C4—3321no—
1615C4—3321no—
1616C4—3321no—
1617C4—3321no—
1618C4—3321no—
1619C4—3321no—
1620C4—3321no—
1621C4—1662no—
1622C4—1662no—
1623C4—1662no—
1624C2—24no—
1625C2—81no—
1626C2—81no—
1627C2—3322no—
1628C2—6641no—
1629C2—1664no—
1630C2C2×#1912822911yescharacteristic
1631C2#538×D8311yescharacteristic
1632C2#2492087411yescharacteristic
1633C2#2492114811yescharacteristic
1634C2#2492118811yescharacteristic
1635C2#2492139911yescharacteristic
1636C2#2492148711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2312C2
prime radical#24910839C2
hypercenter#2312D83
hypocenterC83#34998
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2312

Complements

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

NH ≅ G/Ntype
1. #24915790C2semidirect
2. #24915783C2semidirect
3. #24915777C2semidirect
4. #24915761C2semidirect
5. #24913524C2semidirect
6. #24913462C2semidirect
7. #24913449C2semidirect
8. #24913447C2semidirect
9. #24912119C2semidirect
10. #24912118C2semidirect
11. #24912022C2semidirect
12. #24912019C2semidirect
13. #24911960C2semidirect
14. #24911794C2semidirect
15. #24911708C2semidirect
16. #24911586C2semidirect
17. #24911513C2semidirect
18. #24911405C2semidirect
19. #24911220C2semidirect
20. #24911131C2semidirect
21. #24911019C2semidirect
22. #24910856C2semidirect
24. #24910788C2semidirect
25. #24910191C2semidirect
26. #24910121C2semidirect
27. #24910090C2semidirect
28. C4×#14581762C2semidirect
29. C2×#19127577C2semidirect
30. C4×C22⋊C4×D83C2semidirect
31. C83×#2312C2semidirect
34. C2×#14581785C22semidirect
35. C2×#14581778C22semidirect
36. C2×#14581777C22semidirect
39. C2×#14581770C22semidirect
45. C2×C4×D332C22semidirect
46. C2×C4×D332C22semidirect
52. C2×C42×D83C22semidirect
53. C2×C42×D83C22semidirect
54. C83⋊#401C22semidirect
55. #19127642C22semidirect
56. #19127641C22semidirect
57. #19127640C22semidirect
58. #19127639C22semidirect
59. #19127636C22semidirect
60. #19127634C22semidirect
61. #19127630C22semidirect
62. #19127629C22semidirect
63. #19127629C22semidirect
64. #19127629C22semidirect
65. #19127628C22semidirect
66. #19127627C22semidirect
67. #19127627C22semidirect
68. #19127626C22semidirect
69. #19127625C22semidirect
70. #19127624C22semidirect
71. #19127623C22semidirect
72. #19127619C22semidirect
73. #19127618C22semidirect
76. #19127617C22semidirect
81. #19127616C22semidirect
82. #19127614C22semidirect
83. #19127613C22semidirect
86. #19127607C22semidirect
87. #19127605C22semidirect
88. #19127601C22semidirect
89. #19127601C22semidirect
90. #19127601C22semidirect
91. #19127599C22semidirect
92. #19127598C22semidirect
93. #19127596C22semidirect
94. #19127595C22semidirect
95. #19127595C22semidirect
96. #19127595C22semidirect
97. #19127594C22semidirect
98. #19127594C22semidirect
99. #19127593C22semidirect
100. #19127592C22semidirect
101. #19127592C22semidirect
102. #19127591C22semidirect
103. #19127589C22semidirect
104. #19127589C22semidirect
105. #19127589C22semidirect
106. #19127589C22semidirect
107. #19127588C22semidirect
108. #19127587C22semidirect
109. #19127587C22semidirect
110. #19127586C22semidirect
111. #19127585C22semidirect
112. #19127585C22semidirect
113. #19127585C22semidirect
114. #19127585C22semidirect
115. #19127584C22semidirect
117. #19127579C22semidirect
118. #19127579C22semidirect
119. #19127579C22semidirect
135. #19127577C22semidirect
136. #19127577C22semidirect
139. #19127575C22semidirect
140. #19127575C22semidirect
141. #19127575C22semidirect
146. #19127572C22semidirect
147. #19127572C22semidirect
148. #19127568C22semidirect
149. #19127568C22semidirect
150. #19127565C22semidirect
151. #19127565C22semidirect
152. #19127563C22semidirect
153. #19127563C22semidirect
154. #19127560C22semidirect
155. #19127560C22semidirect
161. C4×(C2×D83)⋊C4C22semidirect
162. C4×(C2×D83)⋊C4C22semidirect
163. C4×(C2×D83)⋊C4C22semidirect
164. C4×(C2×D83)⋊C4C22semidirect
166. #19127548C22semidirect
167. #19127548C22semidirect
170. #95×D83C22semidirect
171. #95×D83C22semidirect
173. #388×C83C22semidirect
174. #388×C83C22semidirect
175. #388×C83C22semidirect
176. #388×C83C22semidirect
177. #388×C83C22semidirect
178. #388×C83C22semidirect
179. #388×C83C22semidirect
180. #388×C83C22semidirect
846. #2312D83semidirect
850. C83#34998semidirect
927. #388C2×D83semidirect
928. #388C2×D83semidirect
929. #388C2×D83semidirect
930. #388C2×D83semidirect
931. #388C2×D83semidirect
932. #388C2×D83semidirect
933. #388C2×D83semidirect
934. #388C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157902
#249157832
#249157772
#249157612
#249135242
#249134622
#249134492
#249134472
#249121192
#249121182
#249120222
#249120192
#249119602
#249117942
#249117082
#249115862
#249115132
#249114052
#249112202
#249111312
#249110192
#249108562
#249108392
#249107882
#249101912
#249101212
#249100902
C4×#145817622
C2×#191275772
C4×C22⋊C4×D832
C83×#23122
#3499883