Finite Group Databasebeta

← #35611491

Subgroups — #35611491

Order 21248.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128283C211yesmaximal, characteristic, complemented
2C2×#19128212C211yesmaximal, characteristic, complemented
3#24915755C211yesmaximal, characteristic, complemented
4#24914136C211yesmaximal, characteristic, complemented
5#24914091C211yesmaximal, characteristic, complemented
6#24914065C211yesmaximal, characteristic, complemented
7#24914052C211yesmaximal, characteristic, complemented
8#24913885C211yesmaximal, characteristic, complemented
9#24913824C211yesmaximal, characteristic, complemented
10#24913819C211yesmaximal, characteristic, complemented
11#24913809C211yesmaximal, characteristic, complemented
12#24913797C211yesmaximal, characteristic, complemented
13#24913791C211yesmaximal, characteristic, complemented
14#24913789C211yesmaximal, characteristic, complemented
15#24913784C211yesmaximal, characteristic, complemented
16#24913715C211yesmaximal, characteristic, complemented
17#24913685C211yesmaximal, characteristic, complemented
18#24913680C211yesmaximal, characteristic, complemented
19#24913675C211yesmaximal, characteristic, complemented
20#24913348C211yesmaximal, characteristic, complemented
21#24913304C211yesmaximal, characteristic, complemented
22#24913146C211yesmaximal, characteristic, complemented
23#24913087C211yesmaximal, characteristic, complemented
24#24913056C211yesmaximal, characteristic, complemented
25#24913047C211yesmaximal, characteristic, complemented
26#24912432C211yesmaximal, characteristic, complemented
27#24912351C211yesmaximal, characteristic, complemented
28#24910805C211yesmaximal, characteristic, complemented
29#24910780C211yesmaximal, characteristic, complemented
30#24910105C211yesmaximal, characteristic, complemented
31C83×#2847C211yesmaximal, characteristic, complemented
32C22×#13050590C2211yescharacteristic
33#19128283—28no—
34C2×#14581788C2211yescharacteristic
35C2×#14581787C2211yescharacteristic, complemented
36C2×#14581785C2211yescharacteristic, complemented
37C2×#14581779C2211yescharacteristic
38C2×#14581778C2211yescharacteristic, complemented
39C2×#14581778C2211yescharacteristic, complemented
40#19128212—28no—
41C2×#14581775C2211yescharacteristic
42C2×#14581775C2211yescharacteristic
43C2×#14581775C2211yescharacteristic
44C2×#14581775C2211yescharacteristic, complemented
45C2×#14581774C2211yescharacteristic
46C2×#14581773C2211yescharacteristic, complemented
47C2×#14581771C2211yescharacteristic, complemented
48C2×#14581771C2211yescharacteristic, complemented
49C2×#14581770C2211yescharacteristic, complemented
50C2×#14581769C2211yescharacteristic, complemented
51C2×#14581766C2211yescharacteristic
52C2×#14581766C2211yescharacteristic
53C2×#14581764C2211yescharacteristic
54C2×#14581764C2211yescharacteristic, complemented
55C2×#14581763C2211yescharacteristic
56C2×#14581762C2211yescharacteristic, complemented
57C2×#14581761C2211yescharacteristic
58C2×#14581761C2211yescharacteristic
59C2×#14581761C2211yescharacteristic, complemented
60C2×#14581760C2211yescharacteristic
61C2×#14581760C2211yescharacteristic
62C2×#14581760C2211yescharacteristic
63C2×#14581760C2211yescharacteristic, complemented
64C2×C4×C22⋊D83C2211yescharacteristic
65C2×C4×C22⋊D83C2211yescharacteristic
66C2×C4×C22⋊D83C2211yescharacteristic, complemented
67C2×C4×C22⋊D83C2211yescharacteristic, complemented
68C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
69C2×#14581751C2211yescharacteristic, complemented
70C2×C22⋊C4×D83C2211yescharacteristic, complemented
71#19127639C2211yescharacteristic, complemented
72#19127636C2211yescharacteristic, complemented
73#19127635C2211yescharacteristic, complemented
74#19127633C2211yescharacteristic, complemented
75#19127631C2211yescharacteristic, complemented
76#19127630C2211yescharacteristic, complemented
77#19127629C2211yescharacteristic, complemented
78#19127626C2211yescharacteristic, complemented
79#19127625C2211yescharacteristic, complemented
80#19127624C2211yescharacteristic, complemented
81#19127624C2211yescharacteristic, complemented
82#19127624C2211yescharacteristic, complemented
83#19127623C2211yescharacteristic, complemented
84#19127623C2211yescharacteristic, complemented
85#19127622C2211yescharacteristic, complemented
86#19127619C2211yescharacteristic, complemented
87#19127619C2211yescharacteristic, complemented
88#19127618C2211yescharacteristic, complemented
89#19127617C2211yescharacteristic
90#19127617C2211yescharacteristic
91#19127617C2211yescharacteristic, complemented
92#19127617C2211yescharacteristic, complemented
93#19127617C2211yescharacteristic, complemented
94#19127616C2211yescharacteristic
95#19127616C2211yescharacteristic
96#19127616C2211yescharacteristic
97#19127616C2211yescharacteristic, complemented
98#19127616C2211yescharacteristic, complemented
99#19127615C2211yescharacteristic
100#19127615C2211yescharacteristic
101#19127615C2211yescharacteristic
102#19127615C2211yescharacteristic, complemented
103#19127615C2211yescharacteristic, complemented
104#19127615C2211yescharacteristic, complemented
105#19127614C2211yescharacteristic, complemented
106#19127613C2211yescharacteristic, complemented
107#19127613C2211yescharacteristic, complemented
108#19127610C2211yescharacteristic
109#19127610C2211yescharacteristic
110#19127610C2211yescharacteristic, complemented
111#19127609C2211yescharacteristic
112#19127609C2211yescharacteristic
113#19127609C2211yescharacteristic
114#19127609C2211yescharacteristic
115#19127609C2211yescharacteristic
116#19127609C2211yescharacteristic
117#19127609C2211yescharacteristic, complemented
118#19127609C2211yescharacteristic, complemented
119#19127605C2211yescharacteristic, complemented
120#19127605C2211yescharacteristic, complemented
121#19127604C2211yescharacteristic
122#19127604C2211yescharacteristic
123#19127604C2211yescharacteristic, complemented
124#19127601C2211yescharacteristic
125#19127601C2211yescharacteristic
126#19127601C2211yescharacteristic
127#19127601C2211yescharacteristic, complemented
128#19127601C2211yescharacteristic, complemented
129#19127601C2211yescharacteristic, complemented
130#19127598C2211yescharacteristic, complemented
131#19127596C2211yescharacteristic, complemented
132#19127596C2211yescharacteristic, complemented
133#19127594C2211yescharacteristic, complemented
134#19127594C2211yescharacteristic, complemented
135#19127594C2211yescharacteristic, complemented
136#19127594C2211yescharacteristic, complemented
137#19127593C2211yescharacteristic, complemented
138#19127593C2211yescharacteristic, complemented
139#19127593C2211yescharacteristic, complemented
140#19127591C2211yescharacteristic, complemented
141#19127591C2211yescharacteristic, complemented
142#19127589C2211yescharacteristic, complemented
143#19127589C2211yescharacteristic, complemented
144#19127589C2211yescharacteristic, complemented
145#19127589C2211yescharacteristic, complemented
146#19127589C2211yescharacteristic, complemented
147#19127586C2211yescharacteristic, complemented
148#19127583C2211yescharacteristic, complemented
149#19127581C2211yescharacteristic, complemented
150#19127580C2211yescharacteristic
151#19127580C2211yescharacteristic
152#19127580C2211yescharacteristic
153#19127580C2211yescharacteristic
154#19127579C2211yescharacteristic, complemented
155#19127579C2211yescharacteristic, complemented
156#19127577C2211yescharacteristic
157#19127577C2211yescharacteristic, complemented
158#19127577C2211yescharacteristic, complemented
159#19127575C2211yescharacteristic, complemented
160#19127574C2211yescharacteristic, complemented
161#19127574C2211yescharacteristic, complemented
162#19127574C2211yescharacteristic, complemented
163#19127574C2211yescharacteristic, complemented
164#19127573C2211yescharacteristic, complemented
165#19127564C2211yescharacteristic, complemented
166#19127564C2211yescharacteristic, complemented
167#19127563C2211yescharacteristic, complemented
168#19127563C2211yescharacteristic, complemented
169#19127560C2211yescharacteristic, complemented
170#19127557C2211yescharacteristic, complemented
171#19127556C2211yescharacteristic, complemented
172#19127552C2211yescharacteristic, complemented
173#19127546C2211yescharacteristic, complemented
174C24×C4×C83C2211yescharacteristic, complemented
175C2×#121×C83C2211yescharacteristic
176C2×#121×C83C2211yescharacteristic
177C2×#121×C83C2211yescharacteristic
178C2×#120×C83C2211yescharacteristic
179C2×#120×C83C2211yescharacteristic, complemented
180#386×C83C2211yescharacteristic
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic, complemented
184#386×C83C2211yescharacteristic, complemented
185#386×C83C2211yescharacteristic, complemented
186#380×C83C2211yescharacteristic, complemented
187#380×C83C2211yescharacteristic, complemented
188#380×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C2×#13050590—24no—
191C2×#13050590—42no—
192C2×#13050590—42no—
193C22×Dic166C2311yescharacteristic
194C22×Dic166C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×C22⋊D83C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C22×C22⋊D83C2311yescharacteristic
207C22×C22⋊D83C2311yescharacteristic
208C22×C22⋊D83C2311yescharacteristic
209C22×C22⋊D83C2311yescharacteristic
210C23×Dic83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214#14581788—42no—
215#14581787—24no—
216#14581785—24no—
217#14581779—24no—
218#14581778—24no—
219#14581778—42no—
220#14581775—24no—
221#14581775—24no—
222#14581775—24no—
223#14581775—42no—
224#14581774—42no—
225#14581773—24no—
226#14581771—24no—
227#14581771—24no—
228#14581770—24no—
229#14581769—42no—
230#14581766—24no—
231#14581766—24no—
232#14581764—24no—
233#14581764—42no—
234#14581763—24no—
235#14581762—42no—
236#14581761—24no—
237#14581761—24no—
238#14581761—42no—
239#14581760—24no—
240#14581760—24no—
241#14581760—42no—
242#14581760—42no—
243C4×C22⋊D83—24no—
244C4×C22⋊D83—24no—
245C4×C22⋊D83—24no—
246C4×C22⋊D83D418yescomplemented
247(C22⋊D83)⋊C4—24no—
248#14581751—24no—
249C2×C4⋊Dic83C2311yescharacteristic
250C2×C4⋊Dic83C2311yescharacteristic
251C2×C4⋊Dic83C2311yescharacteristic
252C2×C4⋊Dic83C2311yescharacteristic
253C2×C4⋊Dic83C2311yescharacteristic
254C2×C4⋊Dic83C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×Dic83⋊C4C2311yescharacteristic
269C2×Dic83⋊C4C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×C22⋊Dic83C2311yescharacteristic
276C2×C22⋊Dic83C2311yescharacteristic
277C2×C22⋊Dic83C2311yescharacteristic
278C2×C22⋊Dic83C2311yescharacteristic
279C2×C22⋊Dic83C2311yescharacteristic
280C2×C22⋊Dic83C2311yescharacteristic
281C2×C22⋊Dic83C2311yescharacteristic
282C2×C22⋊Dic83C2311yescharacteristic
283C2×C22⋊Dic83C2311yescharacteristic
284C2×C22⋊Dic83C2311yescharacteristic
285C2×C22⋊Dic83C2311yescharacteristic
286C2×C22⋊Dic83C2311yescharacteristic
287C2×C22⋊Dic83C2311yescharacteristic
288C2×C22⋊Dic83C2311yescharacteristic
289C2×C22⋊Dic83C2311yescharacteristic
290C2×C22⋊Dic83C2311yescharacteristic
291C2×C22⋊Dic83C2311yescharacteristic
292C2×C22⋊Dic83C2311yescharacteristic
293C2×C22⋊Dic83C2311yescharacteristic
294C2×C22⋊Dic83C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C2×(C2×D83)⋊C4C2311yescharacteristic
306C2×(C2×D83)⋊C4C2311yescharacteristic
307C2×(C2×D83)⋊C4C2311yescharacteristic
308C2×(C2×D83)⋊C4C2311yescharacteristic
309C2×(C2×D83)⋊C4C2311yescharacteristic
310C2×(C2×D83)⋊C4C2311yescharacteristic
311C2×(C2×D83)⋊C4C2311yescharacteristic
312C2×(C2×D83)⋊C4C2311yescharacteristic
313C2×(C2×D83)⋊C4C2311yescharacteristic
314C2×(C2×D83)⋊C4C2311yescharacteristic
315C2×(C2×D83)⋊C4C2311yescharacteristic
316C2×(C2×D83)⋊C4C2311yescharacteristic
317C2×(C2×D83)⋊C4C2311yescharacteristic
318C22⋊C4×D83—24no—
319C2×C4×Dic83C2311yescharacteristic
320C2×C4×Dic83C2311yescharacteristic
321C2×C4×Dic83C2311yescharacteristic
322C2×C4×Dic83C2311yescharacteristic
323C2×C4×Dic83C2311yescharacteristic
324C2×C4×Dic83C2311yescharacteristic
325C2×C4×Dic83C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C25×C83C2311yescharacteristic
349C22×D4×C83C2311yescharacteristic
350C22×D4×C83C2311yescharacteristic
351C22×D4×C83C2311yescharacteristic
352C22×D4×C83C2311yescharacteristic
353C22×D4×C83C2311yescharacteristic
354C22×D4×C83C2311yescharacteristic
355C22×D4×C83C2311yescharacteristic
356C23×C4×C83—24no—
357C23×C4×C83—42no—
358C23×C4×C83—42no—
359C23×C4×C83C2311yescharacteristic
360C23×C4×C83C2311yescharacteristic
361C23×C4×C83C2311yescharacteristic
362C23×C4×C83C2311yescharacteristic
363C23×C4×C83C2311yescharacteristic
364C23×C4×C83C2311yescharacteristic
365#121×C83—24no—
366#121×C83—42no—
367#121×C83—42no—
368#120×C83—42no—
369#120×C83—42no—
370C2×C4⋊C4×C83C2311yescharacteristic
371C2×C4⋊C4×C83C2311yescharacteristic
372C2×C4⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C22⋊C4×C83C2311yescharacteristic
375C2×C22⋊C4×C83C2311yescharacteristic
376C2×C22⋊C4×C83C2311yescharacteristic
377C2×C22⋊C4×C83C2311yescharacteristic
378C2×C22⋊C4×C83C2311yescharacteristic
379C2×C22⋊C4×C83C2311yescharacteristic
380C2×C22⋊C4×C83C2311yescharacteristic
381C2×C22⋊C4×C83C2311yescharacteristic
382C2×C22⋊C4×C83C2311yescharacteristic
383C2×C22⋊C4×C83C2311yescharacteristic
384C2×C22⋊C4×C83C2311yescharacteristic
385#95×C83C2311yescharacteristic
386#95×C83C2311yescharacteristic
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—41no—
393C23×D83—41no—
394C23×D83—41no—
395C23×D83—41no—
396C23×D83—41no—
397C23×D83—41no—
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400C23×D83C2411yescharacteristic
401#13050590—416no—
402C2×Dic166—22no—
403C2×Dic166—22no—
404C2×Dic166—22no—
405C2×Dic166—41no—
406C2×Dic166—41no—
407C2×Dic166—41no—
408C2×D332—22no—
409C2×D332—22no—
410C2×D332—41no—
411C2×D332—41no—
412C2×D332—41no—
413C2×D332—41no—
414C2×C22⋊D83—22no—
415C2×C22⋊D83—22no—
416C2×C22⋊D83—22no—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—22no—
420C2×C22⋊D83—22no—
421C2×C22⋊D83—22no—
422C2×C22⋊D83—22no—
423C2×C22⋊D83—22no—
424C2×C22⋊D83—22no—
425C2×C22⋊D83—22no—
426C2×C22⋊D83—22no—
427C2×C22⋊D83—22no—
428C2×C22⋊D83—41no—
429C2×C22⋊D83—41no—
430C2×C22⋊D83—41no—
431C2×C22⋊D83—41no—
432C2×C22⋊D83—41no—
433C2×C22⋊D83—41no—
434C2×C22⋊D83—41no—
435C2×C22⋊D83—41no—
436C2×C22⋊D83—41no—
437C2×C22⋊D83—41no—
438C2×C22⋊D83—41no—
439C2×C22⋊D83—41no—
440C2×C22⋊D83—41no—
441C2×C22⋊D83—41no—
442C2×C22⋊D83—41no—
443C2×C22⋊D83—41no—
444C2×C22⋊D83—41no—
445C2×C22⋊D83—41no—
446C2×C22⋊D83—41no—
447C2×C22⋊D83—41no—
448C2×C22⋊D83—41no—
449C2×C22⋊D83—41no—
450C2×C22⋊D83—41no—
451C2×C22⋊D83—41no—
452C2×C22⋊D83C2×D414yes—
453C22×Dic83—22no—
454C22×Dic83—41no—
455C22×Dic83—41no—
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C22×Dic83C2411yescharacteristic
463C22×Dic83C2411yescharacteristic
464C22×Dic83C2411yescharacteristic
465C22×Dic83C2411yescharacteristic
466C22×Dic83C2411yescharacteristic
467C22×Dic83C2411yescharacteristic
468C22×Dic83C2411yescharacteristic
469C2×C4×D83—22no—
470C2×C4×D83—22no—
471C2×C4×D83—41no—
472C2×C4×D83—41no—
473C2×C4×D83—41no—
474C2×C4×D83—41no—
475C2×C4×D83—41no—
476C2×C4×D83—41no—
477C2×C4×D83C2×D414yes—
478C4⋊Dic83—22no—
479C4⋊Dic83—22no—
480C4⋊Dic83—22no—
481C4⋊Dic83—41no—
482C4⋊Dic83—41no—
483C4⋊Dic83—41no—
484Dic83⋊C4—22no—
485Dic83⋊C4—22no—
486Dic83⋊C4—22no—
487Dic83⋊C4—22no—
488Dic83⋊C4—22no—
489Dic83⋊C4—22no—
490Dic83⋊C4—22no—
491Dic83⋊C4—41no—
492Dic83⋊C4—41no—
493Dic83⋊C4—41no—
494Dic83⋊C4—41no—
495Dic83⋊C4—41no—
496Dic83⋊C4—41no—
497Dic83⋊C4—41no—
498Dic83⋊C4C2×D414yes—
499C22⋊Dic83—22no—
500C22⋊Dic83—22no—
501C22⋊Dic83—22no—
502C22⋊Dic83—22no—
503C22⋊Dic83—22no—
504C22⋊Dic83—22no—
505C22⋊Dic83—22no—
506C22⋊Dic83—22no—
507C22⋊Dic83—22no—
508C22⋊Dic83—22no—
509C22⋊Dic83—22no—
510C22⋊Dic83—22no—
511C22⋊Dic83—41no—
512C22⋊Dic83—41no—
513C22⋊Dic83—41no—
514C22⋊Dic83—41no—
515C22⋊Dic83—41no—
516C22⋊Dic83—41no—
517C22⋊Dic83—41no—
518C22⋊Dic83—41no—
519C22⋊Dic83—41no—
520C22⋊Dic83—41no—
521C22⋊Dic83—41no—
522C22⋊Dic83—41no—
523C22⋊Dic83C2×D414yes—
524(C2×D83)⋊C4—22no—
525(C2×D83)⋊C4—22no—
526(C2×D83)⋊C4—22no—
527(C2×D83)⋊C4—22no—
528(C2×D83)⋊C4—22no—
529(C2×D83)⋊C4—22no—
530(C2×D83)⋊C4—22no—
531(C2×D83)⋊C4—22no—
532(C2×D83)⋊C4—22no—
533(C2×D83)⋊C4—41no—
534(C2×D83)⋊C4—41no—
535(C2×D83)⋊C4—41no—
536(C2×D83)⋊C4—41no—
537(C2×D83)⋊C4—41no—
538(C2×D83)⋊C4—41no—
539(C2×D83)⋊C4—41no—
540(C2×D83)⋊C4—41no—
541(C2×D83)⋊C4—41no—
542(C2×D83)⋊C4—41no—
543(C2×D83)⋊C4—41no—
544(C2×D83)⋊C4—41no—
545(C2×D83)⋊C4—41no—
546(C2×D83)⋊C4C2×D414yes—
547C4×Dic83—22no—
548C4×Dic83—22no—
549C4×Dic83—41no—
550C4×Dic83—41no—
551C4×Dic83—41no—
552C4×Dic83—41no—
553C4×Dic83C2×D414yes—
554C24×C83—22no—
555C24×C83—22no—
556C24×C83—22no—
557C24×C83—41no—
558C24×C83—41no—
559C24×C83—41no—
560C24×C83—41no—
561C24×C83C2411yescharacteristic
562C24×C83C2411yescharacteristic
563C24×C83C2411yescharacteristic
564C24×C83C2411yescharacteristic
565C24×C83C2411yescharacteristic
566C2×D4×C83—22no—
567C2×D4×C83—22no—
568C2×D4×C83—22no—
569C2×D4×C83—22no—
570C2×D4×C83—22no—
571C2×D4×C83—22no—
572C2×D4×C83—22no—
573C2×D4×C83—41no—
574C2×D4×C83—41no—
575C2×D4×C83—41no—
576C2×D4×C83—41no—
577C2×D4×C83—41no—
578C2×D4×C83—41no—
579C2×D4×C83—41no—
580C2×D4×C83—41no—
581C2×D4×C83—41no—
582C2×D4×C83—41no—
583C2×D4×C83—41no—
584C2×D4×C83—41no—
585C2×D4×C83—41no—
586C2×D4×C83—41no—
587C22×C4×C83—22no—
588C22×C4×C83—22no—
589C22×C4×C83—22no—
590C22×C4×C83—22no—
591C22×C4×C83—22no—
592C22×C4×C83—22no—
593C22×C4×C83—22no—
594C22×C4×C83—22no—
595C22×C4×C83—22no—
596C22×C4×C83—22no—
597C22×C4×C83—41no—
598C22×C4×C83—41no—
599C22×C4×C83—41no—
600C22×C4×C83—41no—
601C22×C4×C83—41no—
602C22×C4×C83—41no—
603C22×C4×C83—41no—
604C22×C4×C83—416no—
605C22×C4×C83C2×D414yes—
606C22×C4×C83C2411yescharacteristic
607C22×C4×C83C2411yescharacteristic
608C22×C4×C83C2411yescharacteristic
609C22×C4×C83C2411yescharacteristic
610C22×C4×C83C2411yescharacteristic
611C22×C4×C83C2411yescharacteristic
612C22×C4×C83C2411yescharacteristic
613C22×C4×C83C2411yescharacteristic
614C22×C4×C83C2411yescharacteristic
615C22×C4×C83C2411yescharacteristic
616C4⋊C4×C83—22no—
617C4⋊C4×C83—41no—
618C4⋊C4×C83—41no—
619C22⋊C4×C83—22no—
620C22⋊C4×C83—22no—
621C22⋊C4×C83—22no—
622C22⋊C4×C83—22no—
623C22⋊C4×C83—22no—
624C22⋊C4×C83—22no—
625C22⋊C4×C83—41no—
626C22⋊C4×C83—41no—
627C22⋊C4×C83—41no—
628C22⋊C4×C83—41no—
629C22⋊C4×C83—41no—
630C22⋊C4×C83—41no—
631C23×C83—21no—
632C23×C83—21no—
633C23×C83—21no—
634C23×C83—21no—
635C23×C83—21no—
636C23×C83—21no—
637C23×C83—21no—
638C23×C83—21no—
639C23×C83—21no—
640C23×C83—21no—
641C23×C83—21no—
642C23×C83—21no—
643C23×C83—21no—
644C23×C83—21no—
645C23×C83—21no—
646C23×C83—21no—
647C23×C83—21no—
648C23×C83—21no—
649C23×C83—21no—
650C23×C83—21no—
651C23×C83—21no—
652C23×C83—21no—
653C23×C83—21no—
654C23×C83—21no—
655C23×C83—21no—
656C23×C83—21no—
657C23×C83—21no—
658C23×C83—21no—
659C23×C83—21no—
660C23×C83—21no—
661C23×C83—21no—
662C23×C83—21no—
663C23×C83—44no—
664C23×C83—44no—
665C23×C83—44no—
666C23×C83—44no—
667C23×C83—44no—
668C23×C83—44no—
669C23×C83—44no—
670C23×C83C22×D412yes—
671C23×C83H(5,𝔽2)12yes—
672C23×C83H(5,𝔽2)12yes—
673C23×C83C2511yescharacteristic
674C22×D83—21no—
675C22×D83—21no—
676C22×D83—21no—
677C22×D83—21no—
678C22×D83—21no—
679C22×D83—21no—
680C22×D83—21no—
681C22×D83—21no—
682C22×D83—21no—
683C22×D83—21no—
684C22×D83—21no—
685C22×D83—21no—
686C22×D83—21no—
687C22×D83—21no—
688C22×D83—21no—
689C22×D83—21no—
690C22×D83—21no—
691C22×D83—21no—
692C22×D83—21no—
693C22×D83—21no—
694C22×D83—44no—
695C22×D83—82no—
696C22×D83—82no—
697C22×D83—82no—
698C22×D83—82no—
699C22×D83—82no—
700C22×D83—82no—
701C22×D83C22×D412yes—
702D4×C83—82no—
703D4×C83—82no—
704D4×C83—82no—
705D4×C83—82no—
706D4×C83—82no—
707D4×C83—82no—
708D4×C83—82no—
709C2×C4×C83—28no—
710C2×C4×C83—21no—
711C2×C4×C83—21no—
712C2×C4×C83—21no—
713C2×C4×C83—21no—
714C2×C4×C83—21no—
715C2×C4×C83—21no—
716C2×C4×C83—21no—
717C2×C4×C83—21no—
718C2×C4×C83—21no—
719C2×C4×C83—21no—
720C2×C4×C83—21no—
721C2×C4×C83—21no—
722C2×C4×C83—21no—
723C2×C4×C83—21no—
724C2×C4×C83—21no—
725C2×C4×C83—21no—
726C2×C4×C83—21no—
727C2×C4×C83—21no—
728C2×C4×C83—21no—
729C2×C4×C83—21no—
730C2×C4×C83—21no—
731C2×C4×C83—21no—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—44no—
738C2×C4×C83—44no—
739C2×C4×C83—44no—
740C2×C4×C83—44no—
741C2×C4×C83—44no—
742C2×C4×C83C22×D412yes—
743C2×C4×C83C22×D412yes—
744C2×C4×C83H(5,𝔽2)12yes—
745C22⋊D83—44no—
746C22⋊D83—44no—
747C22⋊D83—44no—
748C22⋊D83—44no—
749C22⋊D83—44no—
750C22⋊D83—44no—
751C22⋊D83—44no—
752C22⋊D83—82no—
753C22⋊D83—82no—
754C22⋊D83—82no—
755C22⋊D83—82no—
756C22⋊D83—82no—
757C22⋊D83—82no—
758C2×Dic83—21no—
759C2×Dic83—21no—
760C2×Dic83—21no—
761C2×Dic83—21no—
762C2×Dic83—21no—
763C2×Dic83—21no—
764C2×Dic83—21no—
765C2×Dic83—21no—
766C2×Dic83—21no—
767C2×Dic83—21no—
768C2×Dic83—21no—
769C2×Dic83—21no—
770C2×Dic83—21no—
771C2×Dic83—21no—
772C2×Dic83—21no—
773C2×Dic83—21no—
774C2×Dic83—21no—
775C2×Dic83—21no—
776C2×Dic83—21no—
777C2×Dic83—21no—
778C2×Dic83—21no—
779C2×Dic83—21no—
780C2×Dic83—21no—
781C2×Dic83—21no—
782C2×Dic83—21no—
783C2×Dic83—21no—
784C2×Dic83—21no—
785C2×Dic83—21no—
786C2×Dic83—21no—
787C2×Dic83—21no—
788C2×Dic83—21no—
789C2×Dic83—21no—
790C2×Dic83—21no—
791C2×Dic83—21no—
792C2×Dic83—21no—
793C2×Dic83—21no—
794C2×Dic83—82no—
795C2×Dic83C22×D412yes—
796C2×Dic83C22×D412yes—
797C2×Dic83C22×D412yes—
798D332—44no—
799D332—82no—
800C4×D83—44no—
801C4×D83—44no—
802C4×D83—82no—
803Dic166—44no—
804Dic166—82no—
805C22×C83—22no—
806C22×C83—22no—
807C22×C83—22no—
808C22×C83—22no—
809C22×C83—22no—
810C22×C83—22no—
811C22×C83—22no—
812C22×C83—22no—
813C22×C83—22no—
814C22×C83—416no—
815C22×C83—41no—
816C22×C83—41no—
817C22×C83—41no—
818C22×C83—41no—
819C22×C83—41no—
820C22×C83—41no—
821C22×C83—41no—
822C22×C83—41no—
823C22×C83—41no—
824C22×C83—41no—
825C22×C83—41no—
826C22×C83—41no—
827C22×C83—41no—
828C22×C83—41no—
829C22×C83—41no—
830C22×C83—41no—
831C22×C83—41no—
832C22×C83—41no—
833C22×C83—41no—
834C22×C83—41no—
835C22×C83—41no—
836C22×C83—41no—
837C22×C83—41no—
838C22×C83—41no—
839C22×C83—41no—
840C22×C83—41no—
841C22×C83C23×D411yescharacteristic
842C22×C83C2×H(5,𝔽2)11yescharacteristic
843C22×C83C2×H(5,𝔽2)11yescharacteristic
844C22×C83C2×H(5,𝔽2)11yescharacteristic
845C22×C83#58511yescharacteristic
846C22×C83#58511yescharacteristic
847C22×C83#58511yescharacteristic
848C2×D83—22no—
849C2×D83—22no—
850C2×D83—22no—
851C2×D83—41no—
852C2×D83—41no—
853C2×D83—41no—
854C2×D83—41no—
855C2×D83—41no—
856C2×D83—41no—
857C2×D83—41no—
858C2×D83—41no—
859C2×D83—41no—
860C2×D83—41no—
861C2×D83—41no—
862C2×D83—41no—
863C2×D83—41no—
864C2×D83—41no—
865C2×D83—41no—
866C2×D83—41no—
867C2×D83—41no—
868C2×D83—41no—
869C2×D83—88no—
870C4×C83—22no—
871C4×C83—22no—
872C4×C83—22no—
873C4×C83—41no—
874C4×C83—41no—
875C4×C83—41no—
876C4×C83—41no—
877C4×C83—41no—
878C4×C83—41no—
879C4×C83—41no—
880Dic83—22no—
881Dic83—22no—
882Dic83—22no—
883Dic83—41no—
884Dic83—41no—
885Dic83—41no—
886Dic83—41no—
887Dic83—41no—
888Dic83—41no—
889Dic83—41no—
890Dic83—41no—
891Dic83—41no—
892Dic83—41no—
893#36724—831nomaximal, Sylow
894C2×C83—42no—
895C2×C83—42no—
896C2×C83—42no—
897C2×C83—81no—
898C2×C83—81no—
899C2×C83#344911yescharacteristic
900C2×C83#348411yescharacteristic
901C2×C83#348811yescharacteristic
902C2×C83#353311yescharacteristic
903C2×C83#353411yescharacteristic
904C2×C83#354011yescharacteristic
905C2×C83#354211yescharacteristic
906D83—42no—
907D83—81no—
908D83—81no—
909C2×#538—831no—
910C2×#525—831no—
911#2849—831no—
912#2847D8311yescharacteristic, complemented
913#2705—831no—
914#2702—831no—
915#2700—831no—
916#2699—831no—
917#2687—831no—
918#2682—831no—
919#2681—831no—
920#2681—831no—
921#2679—831no—
922#2678—831no—
923#2678—831no—
924#2678—831no—
925#2672—831no—
926#2670—831no—
927#2669—831no—
928#2669—831no—
929#2635—831no—
930#2630—831no—
931#2610—831no—
932#2603—831no—
933#2601—831no—
934#2600—831no—
935#2544—831no—
936#2534—831no—
937#2407—831no—
938#2404—831no—
939#2319—831no—
940C83#3672411yescharacteristic, complemented, Sylow
941C22×#41—831no—
942C24×C4C2×D8311yescharacteristic, complemented
943#538—1668no—
944C2×#127—831no—
945C2×#126—831no—
946C2×#126—831no—
947C2×#124—831no—
948C2×#124—831no—
949C2×#124—831no—
950#525—1668no—
951C2×#123—831no—
952C2×#123—831no—
953C2×#123—831no—
954C2×#123—831no—
955C2×#123—831no—
956C2×#123—831no—
957C2×C22⋊Q8—831no—
958C2×C22⋊Q8—831no—
959C2×C22⋊Q8—831no—
960C2×C22⋊Q8—831no—
961C2×#121—831no—
962C2×#121—831no—
963C2×#121—831no—
964C2×#121—831no—
965C2×#121—831no—
966C2×#121C2×D8311yescharacteristic
967C2×#121C2×D8311yescharacteristic
968C2×#121C2×D8311yescharacteristic
969C2×#120—831no—
970C2×#120—831no—
971C2×#120—831no—
972C2×#120—831no—
973C2×#120—831no—
974C2×#120—831no—
975C2×#120—831no—
976C2×#120—831no—
977C2×#120C2×D8311yescharacteristic
978C2×#120C2×D8311yescharacteristic, complemented
979C2×C4×D4—831no—
980C2×C4×D4—831no—
981C2×C4×D4—831no—
982C2×C4×D4—831no—
983C2×C4×D4—831no—
984C2×#117—831no—
985C22×C22⋊C4—831no—
986#400—831no—
987#399—831no—
988#398—831no—
989#398—831no—
990#398—831no—
991#397—831no—
992#397—831no—
993#397—831no—
994#396—831no—
995#396—831no—
996#396—831no—
997#396—831no—
998#396—831no—
999#396—831no—
1000#395—831no—
1001#394—831no—
1002#394—831no—
1003#394—831no—
1004#394—831no—
1005#394—831no—
1006#394—831no—
1007#394—831no—
1008#394—831no—
1009#394—831no—
1010#394—831no—
1011#394—831no—
1012#394—831no—
1013#394—831no—
1014#394—831no—
1015#394—831no—
1016#394—831no—
1017#394—831no—
1018#394—831no—
1019#394—831no—
1020#393—831no—
1021#393—831no—
1022#393—831no—
1023#392—831no—
1024#392—831no—
1025#392—831no—
1026#392—831no—
1027#392—831no—
1028#392—831no—
1029#392—831no—
1030#392—831no—
1031#392—831no—
1032#392—831no—
1033#392—831no—
1034#391—831no—
1035#391—831no—
1036#390—831no—
1037#390—831no—
1038#390—831no—
1039#390—831no—
1040#390—831no—
1041#390—831no—
1042#390—831no—
1043#390—831no—
1044#390—831no—
1045#389—831no—
1046#389—831no—
1047#389—831no—
1048#388—831no—
1049#388—831no—
1050#388—831no—
1051#388—831no—
1052#388—831no—
1053#388—831no—
1054#388—831no—
1055#388—831no—
1056#388—831no—
1057#388—831no—
1058#388—831no—
1059#388—831no—
1060#388—831no—
1061#388—831no—
1062#387—831no—
1063#387—831no—
1064#386—831no—
1065#386—831no—
1066#386—831no—
1067#386—831no—
1068#386—831no—
1069#386—831no—
1070#386—831no—
1071#386—831no—
1072#386—831no—
1073#386—831no—
1074#386C2×D8311yescharacteristic
1075#386C2×D8311yescharacteristic
1076#386C2×D8311yescharacteristic
1077#386C2×D8311yescharacteristic, complemented
1078#386C2×D8311yescharacteristic, complemented
1079#386C2×D8311yescharacteristic, complemented
1080#385—831no—
1081#385—831no—
1082#385—831no—
1083#385—831no—
1084#385—831no—
1085#385—831no—
1086#381—831no—
1087#381—831no—
1088#381—831no—
1089#381—831no—
1090#380—831no—
1091#380C2×D8311yescharacteristic, complemented
1092#380C2×D8311yescharacteristic, complemented
1093#380C2×D8311yescharacteristic, complemented
1094#379—831no—
1095#379—831no—
1096C4×C4⋊C4—831no—
1097#376—831no—
1098C25—831no—
1099C25C22×D8311yescharacteristic
1100C2×#41—3322no—
1101C2×#41—3322no—
1102C2×#41—1664no—
1103C22×Q8—831no—
1104C22×Q8—831no—
1105C22×D4—831no—
1106C22×D4—831no—
1107C22×D4—831no—
1108C22×D4—831no—
1109C22×D4—831no—
1110C22×D4—831no—
1111C22×D4—831no—
1112C22×D4—831no—
1113C22×D4—831no—
1114C22×D4—831no—
1115C22×D4—831no—
1116C22×D4—831no—
1117C22×D4—831no—
1118C22×D4—831no—
1119C22×D4—831no—
1120C22×D4C22×D8311yescharacteristic
1121C22×D4C22×D8311yescharacteristic
1122C22×D4C22×D8311yescharacteristic
1123C22×D4C22×D8311yescharacteristic
1124C22×D4C22×D8311yescharacteristic
1125C22×D4C22×D8311yescharacteristic
1126C22×D4C22×D8311yescharacteristic
1127C23×C4—24no—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4—831no—
1131C23×C4—831no—
1132C23×C4—831no—
1133C23×C4—831no—
1134C23×C4C22×D8311yescharacteristic
1135C23×C4C22×D8311yescharacteristic
1136C23×C4C22×D8311yescharacteristic
1137C23×C4C22×D8311yescharacteristic
1138C23×C4C22×D8311yescharacteristic
1139C23×C4C22×D8311yescharacteristic
1140#127—3322no—
1141#126—1664no—
1142#126—1664no—
1143#124—3322no—
1144#124—1664no—
1145#124—1664no—
1146#123—3322no—
1147#123—3322no—
1148#123—1664no—
1149#123—1664no—
1150#123—1664no—
1151#123—1664no—
1152C22⋊Q8—3322no—
1153C22⋊Q8—1664no—
1154C22⋊Q8—1664no—
1155C22⋊Q8—1664no—
1156#121—24no—
1157#121—42no—
1158#121—42no—
1159#121—3322no—
1160#121—1664no—
1161#121—1664no—
1162#121—1664no—
1163#121—1664no—
1164#120—42no—
1165#120—42no—
1166#120—3322no—
1167#120—3322no—
1168#120—3322no—
1169#120—3322no—
1170#120—1664no—
1171#120—1664no—
1172#120—1664no—
1173#120—1664no—
1174C4×D4—838no—
1175C4×D4—1664no—
1176C4×D4—1664no—
1177C4×D4—1664no—
1178C4×D4—1664no—
1179#117—1664no—
1180C2×C4⋊C4—831no—
1181C2×C4⋊C4—831no—
1182C2×C4⋊C4—831no—
1183C2×C4⋊C4—831no—
1184C2×C4⋊C4—831no—
1185C2×C4⋊C4—831no—
1186C2×C4⋊C4—831no—
1187C2×C4⋊C4—831no—
1188C2×C4⋊C4—831no—
1189C2×C4⋊C4—831no—
1190C2×C4⋊C4—831no—
1191C2×C4⋊C4—831no—
1192C2×C4⋊C4—831no—
1193C2×C4⋊C4—831no—
1194C2×C4⋊C4—831no—
1195C2×C4⋊C4—831no—
1196C2×C4⋊C4—831no—
1197C2×C4⋊C4—831no—
1198C2×C4⋊C4—831no—
1199C2×C4⋊C4—831no—
1200C2×C4⋊C4—831no—
1201C2×C4⋊C4C22×D8311yescharacteristic
1202C2×C4⋊C4C22×D8311yescharacteristic
1203C2×C4⋊C4C22×D8311yescharacteristic
1204C2×C22⋊C4—831no—
1205C2×C22⋊C4—831no—
1206C2×C22⋊C4—831no—
1207C2×C22⋊C4—831no—
1208C2×C22⋊C4—831no—
1209C2×C22⋊C4—831no—
1210C2×C22⋊C4—831no—
1211C2×C22⋊C4—831no—
1212C2×C22⋊C4—831no—
1213C2×C22⋊C4—831no—
1214C2×C22⋊C4—831no—
1215C2×C22⋊C4—831no—
1216C2×C22⋊C4—831no—
1217C2×C22⋊C4—831no—
1218C2×C22⋊C4—831no—
1219C2×C22⋊C4—831no—
1220C2×C22⋊C4—831no—
1221C2×C22⋊C4—831no—
1222C2×C22⋊C4—831no—
1223C2×C22⋊C4—831no—
1224C2×C22⋊C4—831no—
1225C2×C22⋊C4—831no—
1226C2×C22⋊C4—831no—
1227C2×C22⋊C4—831no—
1228C2×C22⋊C4—831no—
1229C2×C22⋊C4—831no—
1230C2×C22⋊C4—831no—
1231C2×C22⋊C4—831no—
1232C2×C22⋊C4—831no—
1233C2×C22⋊C4—831no—
1234C2×C22⋊C4—831no—
1235C2×C22⋊C4—831no—
1236C2×C22⋊C4—831no—
1237C2×C22⋊C4—831no—
1238C2×C22⋊C4—831no—
1239C2×C22⋊C4—831no—
1240C2×C22⋊C4—831no—
1241C2×C22⋊C4—831no—
1242C2×C22⋊C4—831no—
1243C2×C22⋊C4—831no—
1244C2×C22⋊C4—831no—
1245C2×C22⋊C4—831no—
1246C2×C22⋊C4—831no—
1247C2×C22⋊C4—831no—
1248C2×C22⋊C4—831no—
1249C2×C22⋊C4—831no—
1250C2×C22⋊C4—831no—
1251C2×C22⋊C4—831no—
1252C2×C22⋊C4—1664no—
1253C2×C22⋊C4C22×D8311yescharacteristic
1254C2×C22⋊C4C22×D8311yescharacteristic
1255C2×C22⋊C4C22×D8311yescharacteristic
1256C2×C22⋊C4C22×D8311yescharacteristic
1257C2×C22⋊C4C22×D8311yescharacteristic
1258C2×C22⋊C4C22×D8311yescharacteristic
1259C2×C22⋊C4C22×D8311yescharacteristic
1260C2×C22⋊C4C22×D8311yescharacteristic
1261C2×C22⋊C4C22×D8311yescharacteristic
1262C2×C22⋊C4C22×D8311yescharacteristic
1263C2×C22⋊C4C22×D8311yescharacteristic
1264C2×C22⋊C4C22×D8311yescharacteristic
1265C2×C42—831no—
1266C2×C42—831no—
1267C2×C42—831no—
1268C2×C42—831no—
1269C2×C42—831no—
1270C2×C42—831no—
1271C2×C42—831no—
1272#95—831no—
1273#95—831no—
1274#95—831no—
1275#95—831no—
1276#95—831no—
1277#95—831no—
1278#95—831no—
1279#95—831no—
1280#95—831no—
1281#95—831no—
1282#95—831no—
1283#95—831no—
1284#95—831no—
1285#95—831no—
1286#95—831no—
1287#95—831no—
1288#95—831no—
1289#95—831no—
1290#95—831no—
1291#95—831no—
1292#95—831no—
1293#95—831no—
1294#95C22×D8311yescharacteristic
1295#95C22×D8311yescharacteristic
1296#95C22×D8311yescharacteristic
1297#95C22×D8311yescharacteristic
1298#95C22×D8311yescharacteristic
1299#95C22×D8311yescharacteristic
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—3321no—
1308C24—3321no—
1309C24—3321no—
1310C24—3321no—
1311C24—3321no—
1312C24—3321no—
1313C24—831no—
1314C24—831no—
1315C24—831no—
1316C24—1662no—
1317C24C23×D8311yescharacteristic
1318C24C23×D8311yescharacteristic
1319C24C23×D8311yescharacteristic
1320C24C23×D8311yescharacteristic
1321C24C23×D8311yescharacteristic
1322#41—33216no—
1323C2×Q8—3321no—
1324C2×Q8—3321no—
1325C2×Q8—3321no—
1326C2×Q8—1662no—
1327C2×Q8—1662no—
1328C2×Q8—1662no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—3321no—
1351C2×D4—3321no—
1352C2×D4—3321no—
1353C2×D4—3321no—
1354C2×D4—3321no—
1355C2×D4—3321no—
1356C2×D4—3321no—
1357C2×D4—3321no—
1358C2×D4—3321no—
1359C2×D4—3321no—
1360C2×D4—3321no—
1361C2×D4—3321no—
1362C2×D4—3321no—
1363C2×D4—3321no—
1364C2×D4—3321no—
1365C2×D4—3321no—
1366C2×D4—3321no—
1367C2×D4—3321no—
1368C2×D4—3321no—
1369C2×D4—3321no—
1370C2×D4—3321no—
1371C2×D4—3321no—
1372C2×D4—3321no—
1373C2×D4—3321no—
1374C2×D4—3321no—
1375C2×D4—3321no—
1376C2×D4—3321no—
1377C2×D4—3321no—
1378C2×D4—834no—
1379C2×D4—1662no—
1380C2×D4—1662no—
1381C2×D4—1662no—
1382C2×D4—1662no—
1383C2×D4—1662no—
1384C2×D4—1662no—
1385C2×D4—1662no—
1386C2×D4—1662no—
1387C2×D4—1662no—
1388C2×D4—1662no—
1389C2×D4—1662no—
1390C2×D4—1662no—
1391C2×D4—1662no—
1392C2×D4—1662no—
1393C2×D4—1662no—
1394C2×D4—1662no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—416no—
1413C22×C4—3321no—
1414C22×C4—3321no—
1415C22×C4—3321no—
1416C22×C4—3321no—
1417C22×C4—3321no—
1418C22×C4—3321no—
1419C22×C4—3321no—
1420C22×C4—3321no—
1421C22×C4—834no—
1422C22×C4—831no—
1423C22×C4—831no—
1424C22×C4—831no—
1425C22×C4—831no—
1426C22×C4—831no—
1427C22×C4—831no—
1428C22×C4—831no—
1429C22×C4—831no—
1430C22×C4—831no—
1431C22×C4—831no—
1432C22×C4—831no—
1433C22×C4—831no—
1434C22×C4—831no—
1435C22×C4—1662no—
1436C22×C4—1662no—
1437C22×C4—1662no—
1438C22×C4D4×D8314yes—
1439C22×C4C23×D8311yescharacteristic
1440C22×C4C23×D8311yescharacteristic
1441C22×C4C23×D8311yescharacteristic
1442C22×C4C23×D8311yescharacteristic
1443C22×C4C23×D8311yescharacteristic
1444C22×C4C23×D8311yescharacteristic
1445C22×C4C23×D8311yescharacteristic
1446C22×C4C23×D8311yescharacteristic
1447C22×C4C23×D8311yescharacteristic
1448C22×C4C23×D8311yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—3321no—
1453C4⋊C4—3321no—
1454C4⋊C4—3321no—
1455C4⋊C4—3321no—
1456C4⋊C4—3321no—
1457C4⋊C4—3321no—
1458C4⋊C4—3321no—
1459C4⋊C4—3321no—
1460C4⋊C4—3321no—
1461C4⋊C4—3321no—
1462C4⋊C4—834no—
1463C4⋊C4—1662no—
1464C4⋊C4—1662no—
1465C4⋊C4—1662no—
1466C4⋊C4—1662no—
1467C4⋊C4—1662no—
1468C4⋊C4—1662no—
1469C4⋊C4—1662no—
1470C4⋊C4—1662no—
1471C4⋊C4—1662no—
1472C4⋊C4—1662no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—3321no—
1486C22⋊C4—3321no—
1487C22⋊C4—3321no—
1488C22⋊C4—3321no—
1489C22⋊C4—3321no—
1490C22⋊C4—3321no—
1491C22⋊C4—3321no—
1492C22⋊C4—3321no—
1493C22⋊C4—3321no—
1494C22⋊C4—3321no—
1495C22⋊C4—3321no—
1496C22⋊C4—3321no—
1497C22⋊C4—3321no—
1498C22⋊C4—3321no—
1499C22⋊C4—3321no—
1500C22⋊C4—3321no—
1501C22⋊C4—3321no—
1502C22⋊C4—3321no—
1503C22⋊C4—3321no—
1504C22⋊C4—3321no—
1505C22⋊C4—3321no—
1506C22⋊C4—3321no—
1507C22⋊C4—3321no—
1508C22⋊C4—3321no—
1509C22⋊C4—3321no—
1510C22⋊C4—834no—
1511C22⋊C4—834no—
1512C22⋊C4—1662no—
1513C22⋊C4—1662no—
1514C22⋊C4—1662no—
1515C22⋊C4—1662no—
1516C22⋊C4—1662no—
1517C22⋊C4—1662no—
1518C22⋊C4—1662no—
1519C22⋊C4—1662no—
1520C22⋊C4—1662no—
1521C22⋊C4—1662no—
1522C22⋊C4—1662no—
1523C22⋊C4—1662no—
1524C22⋊C4—1662no—
1525C22⋊C4—1662no—
1526C22⋊C4—1662no—
1527C22⋊C4—1662no—
1528C22⋊C4—1662no—
1529C22⋊C4—1662no—
1530C22⋊C4—1662no—
1531C22⋊C4—1662no—
1532C22⋊C4—1662no—
1533C42—3321no—
1534C42—3321no—
1535C42—3321no—
1536C42—3321no—
1537C42—834no—
1538C42—1662no—
1539C42—1662no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—44no—
1579C23—3324no—
1580C23—832no—
1581C23—6642no—
1582C23—6642no—
1583C23—6642no—
1584C23—6642no—
1585C23—6642no—
1586C23—6642no—
1587C23—1661no—
1588C23—1661no—
1589C23—1661no—
1590C23—1661no—
1591C23—1661no—
1592C23—1661no—
1593C23—1661no—
1594C23—1661no—
1595C23—1661no—
1596C23—1661no—
1597C23—1661no—
1598C23—1661no—
1599C23—1661no—
1600C23—1661no—
1601C23—1661no—
1602C23—1661no—
1603C23—1661no—
1604C23—1661no—
1605C23—1661no—
1606C23—1661no—
1607C23C2×D4×D8312yes—
1608C23#1458183712yes—
1609C23#1458183712yes—
1610C23C24×D8311yescharacteristic
1611Q8—3324no—
1612Q8—6642no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—3324no—
1621D4—3324no—
1622D4—3324no—
1623D4—3324no—
1624D4—3324no—
1625D4—3324no—
1626D4—3324no—
1627D4—3324no—
1628D4—6642no—
1629D4—6642no—
1630D4—6642no—
1631D4—6642no—
1632D4—6642no—
1633D4—6642no—
1634D4—6642no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—3324no—
1669C2×C4—3324no—
1670C2×C4—832no—
1671C2×C4—832no—
1672C2×C4—832no—
1673C2×C4—6642no—
1674C2×C4—6642no—
1675C2×C4—1661no—
1676C2×C4—1661no—
1677C2×C4—1661no—
1678C2×C4—1661no—
1679C2×C4—1661no—
1680C2×C4—1661no—
1681C2×C4—1661no—
1682C2×C4—1661no—
1683C2×C4—1661no—
1684C2×C4—1661no—
1685C2×C4—1661no—
1686C2×C4—1661no—
1687C2×C4—1661no—
1688C2×C4—1661no—
1689C2×C4—1661no—
1690C2×C4—1661no—
1691C2×C4—1661no—
1692C2×C4—1661no—
1693C2×C4—1661no—
1694C2×C4—1661no—
1695C2×C4—1661no—
1696C2×C4—1661no—
1697C2×C4—1661no—
1698C2×C4—1661no—
1699C2×C4—1661no—
1700C2×C4—1661no—
1701C2×C4—1661no—
1702C2×C4—1661no—
1703C2×C4—1661no—
1704C2×C4—1661no—
1705C2×C4—1661no—
1706C2×C4—1661no—
1707C2×C4—1661no—
1708C2×C4—1661no—
1709C2×C4—1661no—
1710C2×C4—1661no—
1711C2×C4C2×D4×D8312yes—
1712C2×C4C2×D4×D8312yes—
1713C2×C4#1458183712yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—416no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—3321no—
1751C22—3321no—
1752C22—3321no—
1753C22—3321no—
1754C22—3321no—
1755C22—3321no—
1756C22—3321no—
1757C22—3321no—
1758C22—3321no—
1759C22—3321no—
1760C22—3321no—
1761C22—3321no—
1762C22—3321no—
1763C22—3321no—
1764C22—3321no—
1765C22—3321no—
1766C22—3321no—
1767C22—3321no—
1768C22—6648no—
1769C22—1662no—
1770C22—1662no—
1771C22—1662no—
1772C22C22×D4×D8311yescharacteristic
1773C22C2×#1458183711yescharacteristic
1774C22C2×#1458183711yescharacteristic
1775C22C2×#1458183711yescharacteristic
1776C22#1912853711yescharacteristic
1777C22#1912853711yescharacteristic
1778C22#1912853711yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—3321no—
1790C4—3321no—
1791C4—3321no—
1792C4—3321no—
1793C4—3321no—
1794C4—3321no—
1795C4—3321no—
1796C4—3321no—
1797C4—3321no—
1798C4—3321no—
1799C4—1662no—
1800C4—1662no—
1801C4—1662no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—81no—
1806C2—81no—
1807C2—3322no—
1808C2—6641no—
1809C2—6641no—
1810C2#2492079311yescharacteristic
1811C2#2492109211yescharacteristic
1812C2#2492112811yescharacteristic
1813C2#2492162711yescharacteristic
1814C2#2492165311yescharacteristic
1815C2#2492173811yescharacteristic
1816C2#2492178311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2847C2
hypercenter#2847D83
hypocenterC83#36724
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C2×#19128283C2semidirect
2. C2×#19128212C2semidirect
3. #24915755C2semidirect
4. #24914136C2semidirect
5. #24914091C2semidirect
6. #24914065C2semidirect
7. #24914052C2semidirect
8. #24913885C2semidirect
9. #24913824C2semidirect
10. #24913819C2semidirect
11. #24913809C2semidirect
12. #24913797C2semidirect
13. #24913791C2semidirect
14. #24913789C2semidirect
15. #24913784C2semidirect
16. #24913715C2semidirect
17. #24913685C2semidirect
18. #24913680C2semidirect
19. #24913675C2semidirect
20. #24913348C2semidirect
21. #24913304C2semidirect
22. #24913146C2semidirect
23. #24913087C2semidirect
24. #24913056C2semidirect
25. #24913047C2semidirect
26. #24912432C2semidirect
27. #24912351C2semidirect
28. #24910805C2semidirect
29. #24910780C2semidirect
30. #24910105C2semidirect
31. C83×#2847C2semidirect
35. C2×#14581787C22semidirect
36. C2×#14581785C22semidirect
38. C2×#14581778C22semidirect
39. C2×#14581778C22semidirect
44. C2×#14581775C22semidirect
46. C2×#14581773C22semidirect
47. C2×#14581771C22semidirect
48. C2×#14581771C22semidirect
49. C2×#14581770C22semidirect
50. C2×#14581769C22semidirect
54. C2×#14581764C22semidirect
56. C2×#14581762C22semidirect
59. C2×#14581761C22semidirect
63. C2×#14581760C22semidirect
66. C2×C4×C22⋊D83C22semidirect
67. C2×C4×C22⋊D83C22semidirect
68. C2×(C22⋊D83)⋊C4C22semidirect
69. C2×#14581751C22semidirect
70. C2×C22⋊C4×D83C22semidirect
71. #19127639C22semidirect
72. #19127636C22semidirect
73. #19127635C22semidirect
74. #19127633C22semidirect
75. #19127631C22semidirect
76. #19127630C22semidirect
77. #19127629C22semidirect
78. #19127626C22semidirect
79. #19127625C22semidirect
80. #19127624C22semidirect
81. #19127624C22semidirect
82. #19127624C22semidirect
83. #19127623C22semidirect
84. #19127623C22semidirect
85. #19127622C22semidirect
86. #19127619C22semidirect
87. #19127619C22semidirect
88. #19127618C22semidirect
91. #19127617C22semidirect
92. #19127617C22semidirect
93. #19127617C22semidirect
97. #19127616C22semidirect
98. #19127616C22semidirect
102. #19127615C22semidirect
103. #19127615C22semidirect
104. #19127615C22semidirect
105. #19127614C22semidirect
106. #19127613C22semidirect
107. #19127613C22semidirect
110. #19127610C22semidirect
117. #19127609C22semidirect
118. #19127609C22semidirect
119. #19127605C22semidirect
120. #19127605C22semidirect
123. #19127604C22semidirect
127. #19127601C22semidirect
128. #19127601C22semidirect
129. #19127601C22semidirect
130. #19127598C22semidirect
131. #19127596C22semidirect
132. #19127596C22semidirect
133. #19127594C22semidirect
134. #19127594C22semidirect
135. #19127594C22semidirect
136. #19127594C22semidirect
137. #19127593C22semidirect
138. #19127593C22semidirect
139. #19127593C22semidirect
140. #19127591C22semidirect
141. #19127591C22semidirect
142. #19127589C22semidirect
143. #19127589C22semidirect
144. #19127589C22semidirect
145. #19127589C22semidirect
146. #19127589C22semidirect
147. #19127586C22semidirect
148. #19127583C22semidirect
149. #19127581C22semidirect
154. #19127579C22semidirect
155. #19127579C22semidirect
157. #19127577C22semidirect
158. #19127577C22semidirect
159. #19127575C22semidirect
160. #19127574C22semidirect
161. #19127574C22semidirect
162. #19127574C22semidirect
163. #19127574C22semidirect
164. #19127573C22semidirect
165. #19127564C22semidirect
166. #19127564C22semidirect
167. #19127563C22semidirect
168. #19127563C22semidirect
169. #19127560C22semidirect
170. #19127557C22semidirect
171. #19127556C22semidirect
172. #19127552C22semidirect
173. #19127546C22semidirect
174. C24×C4×C83C22semidirect
179. C2×#120×C83C22semidirect
183. #386×C83C22semidirect
184. #386×C83C22semidirect
185. #386×C83C22semidirect
186. #380×C83C22semidirect
187. #380×C83C22semidirect
188. #380×C83C22semidirect
246. C4×C22⋊D83D4semidirect
912. #2847D83semidirect
940. C83#36724semidirect
942. C24×C4C2×D83semidirect
978. C2×#120C2×D83semidirect
1077. #386C2×D83semidirect
1078. #386C2×D83semidirect
1079. #386C2×D83semidirect
1091. #380C2×D83semidirect
1092. #380C2×D83semidirect
1093. #380C2×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191282832
C2×#191282122
#249157552
#249141362
#249140912
#249140652
#249140522
#249138852
#249138242
#249138192
#249138092
#249137972
#249137912
#249137892
#249137842
#249137152
#249136852
#249136802
#249136752
#249133482
#249133042
#249131462
#249130872
#249130562
#249130472
#249124322
#249123512
#249108052
#249107802
#249101052
C83×#28472
#3672483