Finite Group Databasebeta

← #35577074

Subgroups — #35577074

Order 21248.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128288C211yesmaximal, characteristic, complemented
2C22×D4×Dic83C211yesmaximal, characteristic, complemented
3#24915780C211yesmaximal, characteristic, complemented
4#24915760C211yesmaximal, characteristic, complemented
5#24915757C211yesmaximal, characteristic, complemented
6#24915743C211yesmaximal, characteristic, complemented
7#24913359C211yesmaximal, characteristic, complemented
8#24913346C211yesmaximal, characteristic, complemented
9#24913314C211yesmaximal, characteristic, complemented
10#24913301C211yesmaximal, characteristic, complemented
11#24911721C211yesmaximal, characteristic, complemented
12#24911586C211yesmaximal, characteristic, complemented
13#24911507C211yesmaximal, characteristic, complemented
14#24911393C211yesmaximal, characteristic, complemented
15#24911348C211yesmaximal, characteristic, complemented
16#24911348C211yesmaximal, characteristic, complemented
17#24911291C211yesmaximal, characteristic, complemented
18#24911209C211yesmaximal, characteristic, complemented
19#24911196C211yesmaximal, characteristic, complemented
20#24911124C211yesmaximal, characteristic, complemented
21#24911005C211yesmaximal, characteristic, complemented
22#24911003C211yesmaximal, characteristic, complemented
23#24910923C211yesmaximal, characteristic, complemented
24#24910838C211yesmaximal, characteristic, complemented
25#24910773C211yesmaximal, characteristic, complemented
26#24910168C211yesmaximal, characteristic, complemented
27#24910126C211yesmaximal, characteristic, complemented
28#24910089C211yesmaximal, characteristic, complemented
29#120×Dic83C211yesmaximal, characteristic, complemented
30C2×#19127578C211yesmaximal, characteristic, complemented
31C83×#2410C211yesmaximal, characteristic, complemented
32C23×C22⋊D83C2211yescharacteristic
33C24×Dic83C2211yescharacteristic
34C24×Dic83C2211yescharacteristic, complemented
35#19128288—28no—
36C2×#14581787C2211yescharacteristic, complemented
37C2×#14581787C2211yescharacteristic, complemented
38C2×#14581778C2211yescharacteristic, complemented
39C2×#14581778C2211yescharacteristic, complemented
40C2×#14581776C2211yescharacteristic, complemented
41C2×#14581776C2211yescharacteristic, complemented
42C2×#14581776C2211yescharacteristic, complemented
43C2×#14581771C2211yescharacteristic, complemented
44C2×#14581769C2211yescharacteristic, complemented
45C2×#14581764C2211yescharacteristic
46C2×#14581764C2211yescharacteristic
47C2×#14581764C2211yescharacteristic, complemented
48C2×#14581764C2211yescharacteristic, complemented
49C2×#14581764C2211yescharacteristic, complemented
50C2×#14581761C2211yescharacteristic
51C2×#14581761C2211yescharacteristic
52C2×#14581760C2211yescharacteristic
53C2×#14581760C2211yescharacteristic
54C2×#14581760C2211yescharacteristic, complemented
55C2×D4×Dic83—28no—
56C2×D4×Dic83C2211yescharacteristic
57C2×D4×Dic83C2211yescharacteristic
58C2×D4×Dic83C2211yescharacteristic
59C2×D4×Dic83C2211yescharacteristic
60C2×D4×Dic83C2211yescharacteristic, complemented
61C2×D4×Dic83C2211yescharacteristic, complemented
62C2×D4×Dic83C2211yescharacteristic, complemented
63C2×D4×Dic83C2211yescharacteristic, complemented
64C2×D4×Dic83C2211yescharacteristic, complemented
65C2×D4×Dic83C2211yescharacteristic, complemented
66C2×D4×Dic83C2211yescharacteristic, complemented
67C22×C4⋊Dic83C2211yescharacteristic, complemented
68C22×C22⋊Dic83C2211yescharacteristic
69C22×C22⋊Dic83C2211yescharacteristic, complemented
70C22×(C2×D83)⋊C4C2211yescharacteristic, complemented
71C22×(C2×D83)⋊C4C2211yescharacteristic, complemented
72C22×C4×Dic83C2211yescharacteristic, complemented
73#19127643C2211yescharacteristic, complemented
74#19127640C2211yescharacteristic, complemented
75#19127638C2211yescharacteristic, complemented
76#19127637C2211yescharacteristic, complemented
77#19127633C2211yescharacteristic, complemented
78#19127629C2211yescharacteristic, complemented
79#19127628C2211yescharacteristic, complemented
80#19127626C2211yescharacteristic, complemented
81#19127624C2211yescharacteristic, complemented
82#19127624C2211yescharacteristic, complemented
83#19127624C2211yescharacteristic, complemented
84#19127623C2211yescharacteristic, complemented
85#19127617C2211yescharacteristic, complemented
86#19127617C2211yescharacteristic, complemented
87#19127617C2211yescharacteristic, complemented
88#19127616C2211yescharacteristic, complemented
89#19127616C2211yescharacteristic, complemented
90#19127616C2211yescharacteristic, complemented
91#19127615C2211yescharacteristic, complemented
92#19127613C2211yescharacteristic, complemented
93#19127613C2211yescharacteristic, complemented
94#19127609C2211yescharacteristic
95#19127609C2211yescharacteristic
96#19127609C2211yescharacteristic
97#19127609C2211yescharacteristic
98#19127609C2211yescharacteristic, complemented
99#19127609C2211yescharacteristic, complemented
100#19127609C2211yescharacteristic, complemented
101#19127605C2211yescharacteristic, complemented
102#19127601C2211yescharacteristic, complemented
103#19127601C2211yescharacteristic, complemented
104#19127601C2211yescharacteristic, complemented
105#19127595C2211yescharacteristic, complemented
106#19127594C2211yescharacteristic, complemented
107#19127594C2211yescharacteristic, complemented
108#19127593C2211yescharacteristic, complemented
109#19127593C2211yescharacteristic, complemented
110#19127593C2211yescharacteristic, complemented
111#19127593C2211yescharacteristic, complemented
112#19127591C2211yescharacteristic, complemented
113#19127590C2211yescharacteristic, complemented
114#19127590C2211yescharacteristic, complemented
115#19127589C2211yescharacteristic, complemented
116#19127589C2211yescharacteristic, complemented
117#19127587C2211yescharacteristic, complemented
118#19127587C2211yescharacteristic, complemented
119#19127586C2211yescharacteristic, complemented
120#19127584C2211yescharacteristic, complemented
121#19127584C2211yescharacteristic, complemented
122#19127582C2211yescharacteristic, complemented
123#19127581C2211yescharacteristic
124#19127581C2211yescharacteristic
125#19127581C2211yescharacteristic, complemented
126#19127581C2211yescharacteristic, complemented
127#19127581C2211yescharacteristic, complemented
128#19127581C2211yescharacteristic, complemented
129#19127581C2211yescharacteristic, complemented
130#19127581C2211yescharacteristic, complemented
131#19127581C2211yescharacteristic, complemented
132#19127580C2211yescharacteristic
133#19127580C2211yescharacteristic
134#19127578C2211yescharacteristic
135#19127578C2211yescharacteristic
136#19127578C2211yescharacteristic
137#19127578C2211yescharacteristic
138#19127578C2211yescharacteristic
139#19127578C2211yescharacteristic
140#19127578C2211yescharacteristic, complemented
141#19127578C2211yescharacteristic, complemented
142#19127578C2211yescharacteristic, complemented
143#19127578C2211yescharacteristic, complemented
144#19127578C2211yescharacteristic, complemented
145#19127578C2211yescharacteristic, complemented
146#19127578C2211yescharacteristic, complemented
147#19127578C2211yescharacteristic, complemented
148#19127576C2211yescharacteristic, complemented
149#19127576C2211yescharacteristic, complemented
150#19127576C2211yescharacteristic, complemented
151#19127576C2211yescharacteristic, complemented
152#19127576C2211yescharacteristic, complemented
153#19127576C2211yescharacteristic, complemented
154#19127576C2211yescharacteristic, complemented
155#19127574C2211yescharacteristic, complemented
156#19127574C2211yescharacteristic, complemented
157#19127573C2211yescharacteristic, complemented
158#19127573C2211yescharacteristic, complemented
159#19127568C2211yescharacteristic, complemented
160#19127565C2211yescharacteristic, complemented
161#19127562C2211yescharacteristic, complemented
162#19127562C2211yescharacteristic, complemented
163#19127561C2211yescharacteristic, complemented
164#19127559C2211yescharacteristic, complemented
165#19127559C2211yescharacteristic, complemented
166#19127559C2211yescharacteristic, complemented
167#19127557C2211yescharacteristic
168#19127556C2211yescharacteristic, complemented
169C22⋊C4×Dic83C2211yescharacteristic, complemented
170C22⋊C4×Dic83C2211yescharacteristic, complemented
171C22⋊C4×Dic83C2211yescharacteristic, complemented
172C2×C83⋊#95C2211yescharacteristic, complemented
173C2×C83⋊#95C2211yescharacteristic, complemented
174C23×D4×C83C2211yescharacteristic
175C2×#121×C83C2211yescharacteristic
176C2×#121×C83C2211yescharacteristic
177C2×#120×C83C2211yescharacteristic
178C2×#120×C83C2211yescharacteristic, complemented
179C22×C22⋊C4×C83C2211yescharacteristic
180#394×C83C2211yescharacteristic, complemented
181#394×C83C2211yescharacteristic, complemented
182#392×C83C2211yescharacteristic, complemented
183#392×C83C2211yescharacteristic, complemented
184#386×C83C2211yescharacteristic
185#386×C83C2211yescharacteristic
186#386×C83C2211yescharacteristic, complemented
187#385×C83C2211yescharacteristic, complemented
188#379×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C22×Dic166C2311yescharacteristic
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
201C22×C22⋊D83C2311yescharacteristic
202C22×C22⋊D83C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C23×Dic83—24no—
205C23×Dic83—24no—
206C23×Dic83—42no—
207C23×Dic83—42no—
208C23×Dic83—42no—
209C23×Dic83—42no—
210C23×Dic83C2311yescharacteristic
211C23×Dic83C2311yescharacteristic
212C23×Dic83C2311yescharacteristic
213C23×Dic83C2311yescharacteristic
214C23×Dic83C2311yescharacteristic
215C23×Dic83C2311yescharacteristic
216C23×Dic83C2311yescharacteristic
217C23×Dic83C2311yescharacteristic
218C23×Dic83C2311yescharacteristic
219C23×Dic83C2311yescharacteristic
220C23×Dic83C2311yescharacteristic
221C23×Dic83C2311yescharacteristic
222C23×Dic83C2311yescharacteristic
223C23×Dic83C2311yescharacteristic
224#14581787—24no—
225#14581787—24no—
226#14581778—24no—
227#14581778—24no—
228#14581776—24no—
229#14581776—24no—
230#14581776—42no—
231#14581771—24no—
232#14581769—42no—
233#14581764—24no—
234#14581764—24no—
235#14581764—42no—
236#14581764—42no—
237#14581764—42no—
238#14581761—42no—
239#14581761—42no—
240#14581760—24no—
241#14581760—24no—
242#14581760—24no—
243D4×Dic83—24no—
244D4×Dic83—24no—
245D4×Dic83—24no—
246D4×Dic83—24no—
247D4×Dic83—24no—
248D4×Dic83—24no—
249D4×Dic83—24no—
250D4×Dic83—24no—
251D4×Dic83—42no—
252D4×Dic83—42no—
253D4×Dic83D418yescomplemented
254C2×C4⋊Dic83—24no—
255C2×C4⋊Dic83C2311yescharacteristic
256C2×C4⋊Dic83C2311yescharacteristic
257C2×C4⋊Dic83C2311yescharacteristic
258C2×C4⋊Dic83C2311yescharacteristic
259C2×C4⋊Dic83C2311yescharacteristic
260C2×C4⋊Dic83C2311yescharacteristic
261C2×C4⋊Dic83C2311yescharacteristic
262C2×C4⋊Dic83C2311yescharacteristic
263C2×C4⋊Dic83C2311yescharacteristic
264C2×C4⋊Dic83C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×Dic83⋊C4C2311yescharacteristic
269C2×Dic83⋊C4C2311yescharacteristic
270C2×Dic83⋊C4C2311yescharacteristic
271C2×Dic83⋊C4C2311yescharacteristic
272C2×Dic83⋊C4C2311yescharacteristic
273C2×C22⋊Dic83—24no—
274C2×C22⋊Dic83—24no—
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×C22⋊Dic83C2311yescharacteristic
296C2×C22⋊Dic83C2311yescharacteristic
297C2×C22⋊Dic83C2311yescharacteristic
298C2×(C2×D83)⋊C4—24no—
299C2×(C2×D83)⋊C4—42no—
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
318C2×C4×Dic83—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
348C83⋊#95C2311yescharacteristic
349C83⋊#95C2311yescharacteristic
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C83⋊#95C2311yescharacteristic
353C83⋊#95C2311yescharacteristic
354C25×C83C2311yescharacteristic
355C25×C83C2311yescharacteristic
356C22×D4×C83—24no—
357C22×D4×C83—24no—
358C22×D4×C83—24no—
359C22×D4×C83C2311yescharacteristic
360C22×D4×C83C2311yescharacteristic
361C22×D4×C83C2311yescharacteristic
362C22×D4×C83C2311yescharacteristic
363C22×D4×C83C2311yescharacteristic
364C22×D4×C83C2311yescharacteristic
365C22×D4×C83C2311yescharacteristic
366C22×D4×C83C2311yescharacteristic
367C22×D4×C83C2311yescharacteristic
368C23×C4×C83C2311yescharacteristic
369C23×C4×C83C2311yescharacteristic
370C23×C4×C83C2311yescharacteristic
371#121×C83—24no—
372#121×C83—24no—
373#120×C83—24no—
374#120×C83—42no—
375C2×C4⋊C4×C83C2311yescharacteristic
376C2×C4⋊C4×C83C2311yescharacteristic
377C2×C22⋊C4×C83—42no—
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
385C2×C22⋊C4×C83C2311yescharacteristic
386C2×C22⋊C4×C83C2311yescharacteristic
387C2×C22⋊C4×C83C2311yescharacteristic
388C2×C22⋊C4×C83C2311yescharacteristic
389C2×C22⋊C4×C83C2311yescharacteristic
390C2×C22⋊C4×C83C2311yescharacteristic
391C2×C22⋊C4×C83C2311yescharacteristic
392C2×C22⋊C4×C83C2311yescharacteristic
393#95×C83C2311yescharacteristic
394#95×C83C2311yescharacteristic
395#95×C83C2311yescharacteristic
396#95×C83C2311yescharacteristic
397C23×D83—22no—
398C23×D83—22no—
399C23×D83—22no—
400C23×D83—41no—
401C23×D83—41no—
402C23×D83—41no—
403C23×D83—41no—
404C23×D83C2411yescharacteristic
405C23×D83C2411yescharacteristic
406C2×Dic166—22no—
407C2×Dic166—41no—
408C2×Dic166—41no—
409C2×C22⋊D83—22no—
410C2×C22⋊D83—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
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—41no—
424C2×C22⋊D83—41no—
425C2×C22⋊D83—41no—
426C2×C22⋊D83—41no—
427C2×C22⋊D83—41no—
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—416no—
440C22×Dic83—22no—
441C22×Dic83—22no—
442C22×Dic83—22no—
443C22×Dic83—22no—
444C22×Dic83—22no—
445C22×Dic83—22no—
446C22×Dic83—22no—
447C22×Dic83—22no—
448C22×Dic83—22no—
449C22×Dic83—22no—
450C22×Dic83—22no—
451C22×Dic83—22no—
452C22×Dic83—22no—
453C22×Dic83—22no—
454C22×Dic83—22no—
455C22×Dic83—22no—
456C22×Dic83—22no—
457C22×Dic83—22no—
458C22×Dic83—22no—
459C22×Dic83—22no—
460C22×Dic83—22no—
461C22×Dic83—41no—
462C22×Dic83—41no—
463C22×Dic83—41no—
464C22×Dic83—41no—
465C22×Dic83—41no—
466C22×Dic83—41no—
467C22×Dic83—41no—
468C22×Dic83—41no—
469C22×Dic83—41no—
470C22×Dic83—41no—
471C22×Dic83—41no—
472C22×Dic83—41no—
473C22×Dic83—41no—
474C22×Dic83—41no—
475C22×Dic83—41no—
476C22×Dic83—41no—
477C22×Dic83—41no—
478C22×Dic83—41no—
479C22×Dic83—41no—
480C22×Dic83—416no—
481C22×Dic83—416no—
482C22×Dic83C2×D414yes—
483C22×Dic83C2×D414yescomplemented
484C22×Dic83C2411yescharacteristic
485C22×Dic83C2411yescharacteristic
486C22×Dic83C2411yescharacteristic
487C22×Dic83C2411yescharacteristic
488C22×Dic83C2411yescharacteristic
489C22×Dic83C2411yescharacteristic
490C22×Dic83C2411yescharacteristic
491C22×Dic83C2411yescharacteristic
492C22×Dic83C2411yescharacteristic
493C22×Dic83C2411yescharacteristic
494C22×Dic83C2411yescharacteristic
495C22×Dic83C2411yescharacteristic
496C22×Dic83C2411yescharacteristic
497C22×Dic83C2411yescharacteristic
498C4⋊Dic83—22no—
499C4⋊Dic83—22no—
500C4⋊Dic83—22no—
501C4⋊Dic83—22no—
502C4⋊Dic83—22no—
503C4⋊Dic83—22no—
504C4⋊Dic83—41no—
505C4⋊Dic83—41no—
506C4⋊Dic83—41no—
507C4⋊Dic83C2×D414yescomplemented
508Dic83⋊C4—22no—
509Dic83⋊C4—22no—
510Dic83⋊C4—41no—
511Dic83⋊C4—41no—
512Dic83⋊C4—41no—
513Dic83⋊C4—41no—
514Dic83⋊C4—41no—
515Dic83⋊C4—41no—
516C22⋊Dic83—22no—
517C22⋊Dic83—22no—
518C22⋊Dic83—22no—
519C22⋊Dic83—22no—
520C22⋊Dic83—22no—
521C22⋊Dic83—22no—
522C22⋊Dic83—22no—
523C22⋊Dic83—22no—
524C22⋊Dic83—22no—
525C22⋊Dic83—22no—
526C22⋊Dic83—22no—
527C22⋊Dic83—22no—
528C22⋊Dic83—41no—
529C22⋊Dic83—41no—
530C22⋊Dic83—41no—
531C22⋊Dic83—41no—
532C22⋊Dic83—41no—
533C22⋊Dic83—41no—
534C22⋊Dic83—41no—
535C22⋊Dic83—41no—
536C22⋊Dic83—41no—
537C22⋊Dic83C2×D414yes—
538C22⋊Dic83C2×D414yescomplemented
539(C2×D83)⋊C4—22no—
540(C2×D83)⋊C4—22no—
541(C2×D83)⋊C4—22no—
542(C2×D83)⋊C4—22no—
543(C2×D83)⋊C4—22no—
544(C2×D83)⋊C4—22no—
545(C2×D83)⋊C4—22no—
546(C2×D83)⋊C4—22no—
547(C2×D83)⋊C4—22no—
548(C2×D83)⋊C4—22no—
549(C2×D83)⋊C4—22no—
550(C2×D83)⋊C4—22no—
551(C2×D83)⋊C4—41no—
552(C2×D83)⋊C4—41no—
553(C2×D83)⋊C4—41no—
554(C2×D83)⋊C4—41no—
555(C2×D83)⋊C4—41no—
556(C2×D83)⋊C4—41no—
557C4×Dic83—22no—
558C4×Dic83—22no—
559C4×Dic83—22no—
560C4×Dic83—22no—
561C4×Dic83—41no—
562C4×Dic83—41no—
563C4×Dic83C2×D414yescomplemented
564C24×C83—22no—
565C24×C83—22no—
566C24×C83—22no—
567C24×C83—22no—
568C24×C83—22no—
569C24×C83—22no—
570C24×C83—22no—
571C24×C83—22no—
572C24×C83—22no—
573C24×C83—41no—
574C24×C83—41no—
575C24×C83—41no—
576C24×C83—41no—
577C24×C83#4114yes—
578C24×C83C2411yescharacteristic
579C24×C83C2411yescharacteristic
580C24×C83C2411yescharacteristic
581C24×C83C2411yescharacteristic
582C24×C83C2411yescharacteristic
583C24×C83C2411yescharacteristic
584C2×D4×C83—232no—
585C2×D4×C83—22no—
586C2×D4×C83—22no—
587C2×D4×C83—22no—
588C2×D4×C83—22no—
589C2×D4×C83—22no—
590C2×D4×C83—22no—
591C2×D4×C83—22no—
592C2×D4×C83—22no—
593C2×D4×C83—22no—
594C2×D4×C83—22no—
595C2×D4×C83—22no—
596C2×D4×C83—22no—
597C2×D4×C83—22no—
598C2×D4×C83—22no—
599C2×D4×C83—22no—
600C2×D4×C83—22no—
601C2×D4×C83—22no—
602C2×D4×C83—22no—
603C2×D4×C83—22no—
604C2×D4×C83—41no—
605C2×D4×C83—41no—
606C2×D4×C83—41no—
607C2×D4×C83—41no—
608C2×D4×C83—41no—
609C2×D4×C83—41no—
610C2×D4×C83C2×D414yes—
611C2×D4×C83#4114yes—
612C22×C4×C83—22no—
613C22×C4×C83—22no—
614C22×C4×C83—22no—
615C22×C4×C83—22no—
616C22×C4×C83—22no—
617C22×C4×C83—41no—
618C22×C4×C83—41no—
619C22×C4×C83—41no—
620C22×C4×C83—41no—
621C22×C4×C83C2411yescharacteristic
622C22×C4×C83C2411yescharacteristic
623C22×C4×C83C2411yescharacteristic
624C22×C4×C83C2411yescharacteristic
625C22×C4×C83C2411yescharacteristic
626C22×C4×C83C2411yescharacteristic
627C22×C4×C83C2411yescharacteristic
628C22×C4×C83C2411yescharacteristic
629C22×C4×C83C2411yescharacteristic
630C4⋊C4×C83—22no—
631C4⋊C4×C83—22no—
632C22⋊C4×C83—22no—
633C22⋊C4×C83—22no—
634C22⋊C4×C83—22no—
635C22⋊C4×C83—22no—
636C22⋊C4×C83—22no—
637C22⋊C4×C83—22no—
638C22⋊C4×C83—22no—
639C22⋊C4×C83—22no—
640C22⋊C4×C83—22no—
641C22⋊C4×C83—41no—
642C22⋊C4×C83—41no—
643C22⋊C4×C83—41no—
644C22⋊C4×C83—41no—
645C22⋊C4×C83—41no—
646C22⋊C4×C83—41no—
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—28no—
656C23×C83—28no—
657C23×C83—28no—
658C23×C83—21no—
659C23×C83—21no—
660C23×C83—21no—
661C23×C83—21no—
662C23×C83—21no—
663C23×C83—21no—
664C23×C83—21no—
665C23×C83—21no—
666C23×C83—21no—
667C23×C83—21no—
668C23×C83—21no—
669C23×C83—21no—
670C23×C83—21no—
671C23×C83—21no—
672C23×C83—21no—
673C23×C83—21no—
674C23×C83—21no—
675C23×C83—21no—
676C23×C83—21no—
677C23×C83—21no—
678C23×C83—21no—
679C23×C83—21no—
680C23×C83—21no—
681C23×C83—21no—
682C23×C83—21no—
683C23×C83—44no—
684C23×C83—44no—
685C23×C83—44no—
686C23×C83—44no—
687C23×C83—44no—
688C23×C83—44no—
689C23×C83—44no—
690C23×C83—44no—
691C23×C83—44no—
692C23×C83—44no—
693C23×C83—44no—
694C23×C83C22×D412yes—
695C23×C83C22×D412yes—
696C23×C83C2×#4112yes—
697C23×C83C2×#4112yes—
698C23×C83C2×#4112yes—
699C23×C83C2×#4112yes—
700C23×C83C2×#4112yes—
701C23×C83H(5,𝔽2)12yes—
702C23×C83H(5,𝔽2)12yes—
703C23×C83C2511yescharacteristic
704C22×D83—21no—
705C22×D83—21no—
706C22×D83—21no—
707C22×D83—21no—
708C22×D83—21no—
709C22×D83—21no—
710C22×D83—21no—
711C22×D83—21no—
712C22×D83—21no—
713C22×D83—21no—
714C22×D83—21no—
715C22×D83—21no—
716C22×D83—21no—
717C22×D83—21no—
718C22×D83—44no—
719C22×D83—44no—
720C22×D83—44no—
721C22×D83—82no—
722C22×D83—82no—
723C22×D83—82no—
724C22×D83—82no—
725D4×C83—28no—
726D4×C83—28no—
727D4×C83—28no—
728D4×C83—28no—
729D4×C83—44no—
730D4×C83—44no—
731D4×C83—44no—
732D4×C83—82no—
733D4×C83—82no—
734C2×C4×C83—28no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—21no—
738C2×C4×C83—21no—
739C2×C4×C83—21no—
740C2×C4×C83—21no—
741C2×C4×C83—21no—
742C2×C4×C83—21no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—21no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—21no—
752C2×C4×C83—21no—
753C2×C4×C83—21no—
754C2×C4×C83—21no—
755C2×C4×C83—21no—
756C2×C4×C83—21no—
757C2×C4×C83—21no—
758C2×C4×C83—21no—
759C2×C4×C83—21no—
760C2×C4×C83—82no—
761C2×C4×C83—82no—
762C2×C4×C83C22×D412yes—
763C2×C4×C83C2×#4112yes—
764C22⋊D83—44no—
765C22⋊D83—44no—
766C22⋊D83—44no—
767C22⋊D83—44no—
768C22⋊D83—82no—
769C22⋊D83—82no—
770C22⋊D83—82no—
771C22⋊D83—82no—
772C22⋊D83—82no—
773C22⋊D83—82no—
774C2×Dic83—28no—
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—21no—
795C2×Dic83—21no—
796C2×Dic83—21no—
797C2×Dic83—21no—
798C2×Dic83—21no—
799C2×Dic83—21no—
800C2×Dic83—21no—
801C2×Dic83—21no—
802C2×Dic83—21no—
803C2×Dic83—21no—
804C2×Dic83—21no—
805C2×Dic83—21no—
806C2×Dic83—21no—
807C2×Dic83—21no—
808C2×Dic83—21no—
809C2×Dic83—21no—
810C2×Dic83—21no—
811C2×Dic83—21no—
812C2×Dic83—44no—
813C2×Dic83—44no—
814C2×Dic83—44no—
815C2×Dic83—44no—
816C2×Dic83—44no—
817C2×Dic83—44no—
818C2×Dic83—44no—
819C2×Dic83—44no—
820C2×Dic83—44no—
821C2×Dic83—44no—
822C2×Dic83—44no—
823C2×Dic83—44no—
824C2×Dic83—82no—
825C2×Dic83C22×D412yes—
826C2×Dic83C22×D412yes—
827C2×Dic83C22×D412yes—
828C2×Dic83C22×D412yes—
829C2×Dic83H(5,𝔽2)12yes—
830Dic166—82no—
831C22×C83—22no—
832C22×C83—22no—
833C22×C83—22no—
834C22×C83—22no—
835C22×C83—22no—
836C22×C83—22no—
837C22×C83—22no—
838C22×C83—22no—
839C22×C83—22no—
840C22×C83—22no—
841C22×C83—22no—
842C22×C83—22no—
843C22×C83—22no—
844C22×C83—22no—
845C22×C83—22no—
846C22×C83—22no—
847C22×C83—22no—
848C22×C83—22no—
849C22×C83—22no—
850C22×C83—22no—
851C22×C83—22no—
852C22×C83—416no—
853C22×C83—416no—
854C22×C83—41no—
855C22×C83—41no—
856C22×C83—41no—
857C22×C83—41no—
858C22×C83—41no—
859C22×C83—41no—
860C22×C83—41no—
861C22×C83—41no—
862C22×C83—41no—
863C22×C83—41no—
864C22×C83—41no—
865C22×C83—41no—
866C22×C83—41no—
867C22×C83—41no—
868C22×C83—41no—
869C22×C83—41no—
870C22×C83—41no—
871C22×C83—41no—
872C22×C83—41no—
873C22×C83#52514yes—
874C22×C83#53814yescomplemented
875C22×C83C23×D411yescharacteristic
876C22×C83C22×#4111yescharacteristic
877C22×C83C22×#4111yescharacteristic
878C22×C83C2×H(5,𝔽2)11yescharacteristic
879C22×C83C2×H(5,𝔽2)11yescharacteristic
880C22×C83C2×H(5,𝔽2)11yescharacteristic
881C22×C83#58511yescharacteristic
882C2×D83—41no—
883C2×D83—41no—
884C2×D83—41no—
885C2×D83—41no—
886C2×D83—41no—
887C2×D83—41no—
888C2×D83—41no—
889C2×D83—41no—
890C2×D83—41no—
891C2×D83—41no—
892C2×D83—41no—
893C2×D83—41no—
894C2×D83—41no—
895C2×D83—41no—
896C2×D83—88no—
897C4×C83—22no—
898C4×C83—22no—
899C4×C83—41no—
900C4×C83—41no—
901C4×C83—41no—
902C4×C83—41no—
903C4×C83—41no—
904C4×C83—41no—
905C4×C83—41no—
906Dic83—22no—
907Dic83—22no—
908Dic83—22no—
909Dic83—22no—
910Dic83—22no—
911Dic83—41no—
912Dic83—41no—
913Dic83—41no—
914Dic83—41no—
915Dic83—41no—
916Dic83—41no—
917Dic83—41no—
918Dic83—41no—
919Dic83—41no—
920#34990—831nomaximal, Sylow
921C2×C83—24no—
922C2×C83—24no—
923C2×C83—42no—
924C2×C83—42no—
925C2×C83—42no—
926C2×C83—81no—
927C2×C83C2×#52511yescharacteristic
928C2×C83C2×#53811yescharacteristic
929C2×C83#345911yescharacteristic
930C2×C83#348411yescharacteristic
931C2×C83#348811yescharacteristic
932C2×C83#351311yescharacteristic
933C2×C83#351911yescharacteristic
934D83—81no—
935D83—81no—
936C2×#538—831no—
937C22×C4×D4—831no—
938#2852—831no—
939#2850—831no—
940#2849—831no—
941#2847—831no—
942#2636—831no—
943#2635—831no—
944#2631—831no—
945#2630—831no—
946#2481—831no—
947#2472—831no—
948#2467—831no—
949#2459—831no—
950#2456—831no—
951#2456—831no—
952#2450—831no—
953#2444—831no—
954#2443—831no—
955#2437—831no—
956#2424—831no—
957#2424—831no—
958#2418—831no—
959#2410—831no—
960#2410D8311yescharacteristic, complemented
961#2403—831no—
962#2325—831no—
963#2321—831no—
964#2318—831no—
965C4×#120—831no—
966C2×#386—831no—
967C83#3499011yescharacteristic, complemented, Sylow
968C23×D4—831no—
969C23×D4C2×D8311yescharacteristic
970C24×C4—831no—
971C24×C4—831no—
972#538—1668no—
973C2×#126—831no—
974C2×#126—831no—
975C2×#124—831no—
976C2×#124—831no—
977C2×#123—831no—
978C2×#123—831no—
979C2×#123—831no—
980C2×C22⋊Q8—831no—
981C2×C22⋊Q8—831no—
982C2×#121—831no—
983C2×#121—831no—
984C2×#121—831no—
985C2×#121—831no—
986C2×#121—831no—
987C2×#121C2×D8311yescharacteristic
988C2×#121C2×D8311yescharacteristic
989C2×#120—831no—
990C2×#120—831no—
991C2×#120—831no—
992C2×#120—831no—
993C2×#120—831no—
994C2×#120C2×D8311yescharacteristic
995C2×#120C2×D8311yescharacteristic, complemented
996C2×C4×D4—831no—
997C2×C4×D4—831no—
998C2×C4×D4—831no—
999C2×C4×D4—831no—
1000C2×C4×D4—831no—
1001C2×C4×D4—831no—
1002C2×C4×D4—831no—
1003C2×C4×D4—831no—
1004C2×C4×D4—831no—
1005C2×C4×D4—831no—
1006C2×C4×D4—831no—
1007C2×C4×D4—1668no—
1008C22×C4⋊C4—831no—
1009C22×C22⋊C4—831no—
1010C22×C22⋊C4—831no—
1011C22×C22⋊C4—831no—
1012C22×C22⋊C4—831no—
1013C22×C22⋊C4C2×D8311yescharacteristic
1014C22×C42—831no—
1015#400—831no—
1016#400—831no—
1017#399—831no—
1018#399—831no—
1019#398—831no—
1020#397—831no—
1021#397—831no—
1022#397—831no—
1023#396—831no—
1024#396—831no—
1025#396—831no—
1026#396—831no—
1027#394—831no—
1028#394—831no—
1029#394—831no—
1030#394—831no—
1031#394—831no—
1032#394—831no—
1033#394—831no—
1034#394C2×D8311yescharacteristic, complemented
1035#394C2×D8311yescharacteristic, complemented
1036#393—831no—
1037#393—831no—
1038#392—831no—
1039#392—831no—
1040#392—831no—
1041#392—831no—
1042#392—831no—
1043#392—831no—
1044#392—831no—
1045#392C2×D8311yescharacteristic, complemented
1046#392C2×D8311yescharacteristic, complemented
1047#391—831no—
1048#390—831no—
1049#390—831no—
1050#390—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#388—831no—
1063#387—831no—
1064#387—831no—
1065#387—831no—
1066#387—831no—
1067#387—831no—
1068#387—831no—
1069#386—831no—
1070#386—831no—
1071#386—831no—
1072#386—831no—
1073#386—831no—
1074#386—831no—
1075#386—831no—
1076#386—831no—
1077#386—831no—
1078#386—831no—
1079#386—831no—
1080#386—831no—
1081#386—831no—
1082#386—831no—
1083#386—831no—
1084#386—831no—
1085#386—831no—
1086#386—831no—
1087#386—831no—
1088#386—831no—
1089#386—831no—
1090#386—831no—
1091#386—831no—
1092#386—831no—
1093#386—831no—
1094#386C2×D8311yescharacteristic
1095#386C2×D8311yescharacteristic
1096#386C2×D8311yescharacteristic, complemented
1097#385—831no—
1098#385—831no—
1099#385—831no—
1100#385—831no—
1101#385—831no—
1102#385—831no—
1103#385—831no—
1104#385—831no—
1105#385—831no—
1106#385—831no—
1107#385—831no—
1108#385C2×D8311yescharacteristic, complemented
1109#383—831no—
1110#382—831no—
1111#381—831no—
1112#381—831no—
1113#380—831no—
1114#380—831no—
1115#380—831no—
1116#380—831no—
1117#379—831no—
1118#379—831no—
1119#379C2×D8311yescharacteristic, complemented
1120C4×C22⋊C4—831no—
1121C4×C22⋊C4—831no—
1122C4×C22⋊C4—831no—
1123C2×#95—831no—
1124C2×#95—831no—
1125C25—831no—
1126C25C22×D8311yescharacteristic
1127C25C22×D8311yescharacteristic
1128C22×Q8—831no—
1129C22×D4—24no—
1130C22×D4—24no—
1131C22×D4—24no—
1132C22×D4—3322no—
1133C22×D4—3322no—
1134C22×D4—831no—
1135C22×D4—831no—
1136C22×D4—831no—
1137C22×D4—831no—
1138C22×D4—831no—
1139C22×D4—831no—
1140C22×D4—831no—
1141C22×D4—831no—
1142C22×D4—831no—
1143C22×D4—831no—
1144C22×D4—1664no—
1145C22×D4C22×D8311yescharacteristic
1146C22×D4C22×D8311yescharacteristic
1147C22×D4C22×D8311yescharacteristic
1148C22×D4C22×D8311yescharacteristic
1149C22×D4C22×D8311yescharacteristic
1150C22×D4C22×D8311yescharacteristic
1151C22×D4C22×D8311yescharacteristic
1152C22×D4C22×D8311yescharacteristic
1153C22×D4C22×D8311yescharacteristic
1154C23×C4—3322no—
1155C23×C4—3322no—
1156C23×C4—3322no—
1157C23×C4—3322no—
1158C23×C4—831no—
1159C23×C4—831no—
1160C23×C4—831no—
1161C23×C4—831no—
1162C23×C4—831no—
1163C23×C4—831no—
1164C23×C4—831no—
1165C23×C4—831no—
1166C23×C4—831no—
1167C23×C4—831no—
1168C23×C4—831no—
1169C23×C4—831no—
1170C23×C4—831no—
1171C23×C4—831no—
1172C23×C4—1664no—
1173C23×C4—1664no—
1174C23×C4C22×D8311yescharacteristic
1175C23×C4C22×D8311yescharacteristic
1176C23×C4C22×D8311yescharacteristic
1177#126—1664no—
1178#126—1664no—
1179#124—1664no—
1180#124—1664no—
1181#123—3322no—
1182#123—1664no—
1183#123—1664no—
1184C22⋊Q8—3322no—
1185C22⋊Q8—1664no—
1186#121—24no—
1187#121—24no—
1188#121—3322no—
1189#121—3322no—
1190#121—3322no—
1191#121—1664no—
1192#121—1664no—
1193#120—24no—
1194#120—42no—
1195#120—3322no—
1196#120—3322no—
1197#120—1664no—
1198#120—1664no—
1199#120—1664no—
1200C4×D4—3322no—
1201C4×D4—3322no—
1202C4×D4—838no—
1203C4×D4—1664no—
1204C4×D4—1664no—
1205C4×D4—1664no—
1206C4×D4—1664no—
1207C4×D4—1664no—
1208C4×D4—1664no—
1209C4×D4—1664no—
1210C4×D4—1664no—
1211C2×C4⋊C4—831no—
1212C2×C4⋊C4—831no—
1213C2×C4⋊C4—831no—
1214C2×C4⋊C4—831no—
1215C2×C4⋊C4—831no—
1216C2×C4⋊C4—831no—
1217C2×C4⋊C4—831no—
1218C2×C4⋊C4—831no—
1219C2×C4⋊C4—831no—
1220C2×C4⋊C4—831no—
1221C2×C4⋊C4—831no—
1222C2×C4⋊C4—831no—
1223C2×C4⋊C4—831no—
1224C2×C4⋊C4—831no—
1225C2×C4⋊C4—831no—
1226C2×C4⋊C4—831no—
1227C2×C4⋊C4—831no—
1228C2×C4⋊C4—831no—
1229C2×C4⋊C4—1664no—
1230C2×C4⋊C4C22×D8311yescharacteristic
1231C2×C4⋊C4C22×D8311yescharacteristic
1232C2×C22⋊C4—42no—
1233C2×C22⋊C4—3322no—
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—831no—
1253C2×C22⋊C4—831no—
1254C2×C22⋊C4—831no—
1255C2×C22⋊C4—831no—
1256C2×C22⋊C4—831no—
1257C2×C22⋊C4—831no—
1258C2×C22⋊C4—831no—
1259C2×C22⋊C4—831no—
1260C2×C22⋊C4—831no—
1261C2×C22⋊C4—831no—
1262C2×C22⋊C4—831no—
1263C2×C22⋊C4—831no—
1264C2×C22⋊C4—831no—
1265C2×C22⋊C4—831no—
1266C2×C22⋊C4—831no—
1267C2×C22⋊C4—831no—
1268C2×C22⋊C4—831no—
1269C2×C22⋊C4—831no—
1270C2×C22⋊C4—831no—
1271C2×C22⋊C4—831no—
1272C2×C22⋊C4—831no—
1273C2×C22⋊C4—831no—
1274C2×C22⋊C4—831no—
1275C2×C22⋊C4—1664no—
1276C2×C22⋊C4—1664no—
1277C2×C22⋊C4—1664no—
1278C2×C22⋊C4C22×D8311yescharacteristic
1279C2×C22⋊C4C22×D8311yescharacteristic
1280C2×C22⋊C4C22×D8311yescharacteristic
1281C2×C22⋊C4C22×D8311yescharacteristic
1282C2×C22⋊C4C22×D8311yescharacteristic
1283C2×C22⋊C4C22×D8311yescharacteristic
1284C2×C22⋊C4C22×D8311yescharacteristic
1285C2×C22⋊C4C22×D8311yescharacteristic
1286C2×C22⋊C4C22×D8311yescharacteristic
1287C2×C22⋊C4C22×D8311yescharacteristic
1288C2×C22⋊C4C22×D8311yescharacteristic
1289C2×C22⋊C4C22×D8311yescharacteristic
1290C2×C22⋊C4C22×D8311yescharacteristic
1291C2×C22⋊C4C22×D8311yescharacteristic
1292C2×C22⋊C4C22×D8311yescharacteristic
1293C2×C42—831no—
1294C2×C42—831no—
1295C2×C42—831no—
1296C2×C42—831no—
1297C2×C42—831no—
1298C2×C42—831no—
1299C2×C42—831no—
1300C2×C42—1664no—
1301#95—831no—
1302#95—831no—
1303#95—831no—
1304#95—831no—
1305#95—831no—
1306#95—831no—
1307#95—831no—
1308#95—831no—
1309#95—831no—
1310#95—831no—
1311#95—831no—
1312#95—831no—
1313#95—831no—
1314#95—831no—
1315#95—831no—
1316#95—831no—
1317#95—831no—
1318#95—831no—
1319#95—831no—
1320#95—831no—
1321#95—831no—
1322#95—831no—
1323#95—831no—
1324#95—831no—
1325#95—831no—
1326#95—831no—
1327#95—831no—
1328#95—831no—
1329#95C22×D8311yescharacteristic
1330#95C22×D8311yescharacteristic
1331#95C22×D8311yescharacteristic
1332#95C22×D8311yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—22no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—41no—
1346C24—3321no—
1347C24—3321no—
1348C24—3321no—
1349C24—3321no—
1350C24—831no—
1351C24—831no—
1352C24—1662no—
1353C24—1662no—
1354C24—1662no—
1355C24#1305058914yes—
1356C24C23×D8311yescharacteristic
1357C24C23×D8311yescharacteristic
1358C24C23×D8311yescharacteristic
1359C24C23×D8311yescharacteristic
1360C24C23×D8311yescharacteristic
1361C24C23×D8311yescharacteristic
1362C2×Q8—3321no—
1363C2×Q8—3321no—
1364C2×Q8—1662no—
1365C2×D4—232no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—33216no—
1392C2×D4—3321no—
1393C2×D4—3321no—
1394C2×D4—3321no—
1395C2×D4—3321no—
1396C2×D4—3321no—
1397C2×D4—3321no—
1398C2×D4—3321no—
1399C2×D4—3321no—
1400C2×D4—3321no—
1401C2×D4—3321no—
1402C2×D4—3321no—
1403C2×D4—3321no—
1404C2×D4—3321no—
1405C2×D4—3321no—
1406C2×D4—3321no—
1407C2×D4—3321no—
1408C2×D4—1662no—
1409C2×D4—1662no—
1410C2×D4—1662no—
1411C2×D4—1662no—
1412C2×D4—1662no—
1413C2×D4—1662no—
1414C2×D4—1662no—
1415C2×D4—1662no—
1416C2×D4—1662no—
1417C2×D4—1662no—
1418C2×D4—1662no—
1419C2×D4—1662no—
1420C2×D4—1662no—
1421C2×D4—1662no—
1422C2×D4D4×D8314yes—
1423C2×D4#1305058914yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—33216no—
1434C22×C4—33216no—
1435C22×C4—3321no—
1436C22×C4—3321no—
1437C22×C4—3321no—
1438C22×C4—3321no—
1439C22×C4—3321no—
1440C22×C4—3321no—
1441C22×C4—3321no—
1442C22×C4—3321no—
1443C22×C4—3321no—
1444C22×C4—3321no—
1445C22×C4—3321no—
1446C22×C4—3321no—
1447C22×C4—3321no—
1448C22×C4—3321no—
1449C22×C4—3321no—
1450C22×C4—3321no—
1451C22×C4—3321no—
1452C22×C4—3321no—
1453C22×C4—3321no—
1454C22×C4—834no—
1455C22×C4—834no—
1456C22×C4—831no—
1457C22×C4—831no—
1458C22×C4—831no—
1459C22×C4—831no—
1460C22×C4—831no—
1461C22×C4—831no—
1462C22×C4—831no—
1463C22×C4—831no—
1464C22×C4—831no—
1465C22×C4—831no—
1466C22×C4—831no—
1467C22×C4—831no—
1468C22×C4—831no—
1469C22×C4—831no—
1470C22×C4—1662no—
1471C22×C4—1662no—
1472C22×C4—1662no—
1473C22×C4—1662no—
1474C22×C4—1662no—
1475C22×C4—1662no—
1476C22×C4—1662no—
1477C22×C4—1662no—
1478C22×C4—1662no—
1479C22×C4—1662no—
1480C22×C4—1662no—
1481C22×C4—1662no—
1482C22×C4—1662no—
1483C22×C4—1662no—
1484C22×C4—1662no—
1485C22×C4—1662no—
1486C22×C4—1662no—
1487C22×C4—1662no—
1488C22×C4—1662no—
1489C22×C4—1662no—
1490C22×C4—1662no—
1491C22×C4C23×D8311yescharacteristic
1492C22×C4C23×D8311yescharacteristic
1493C22×C4C23×D8311yescharacteristic
1494C22×C4C23×D8311yescharacteristic
1495C22×C4C23×D8311yescharacteristic
1496C22×C4C23×D8311yescharacteristic
1497C22×C4C23×D8311yescharacteristic
1498C22×C4C23×D8311yescharacteristic
1499C22×C4C23×D8311yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—3321no—
1503C4⋊C4—3321no—
1504C4⋊C4—3321no—
1505C4⋊C4—3321no—
1506C4⋊C4—3321no—
1507C4⋊C4—3321no—
1508C4⋊C4—3321no—
1509C4⋊C4—3321no—
1510C4⋊C4—3321no—
1511C4⋊C4—834no—
1512C4⋊C4—1662no—
1513C4⋊C4—1662no—
1514C4⋊C4—1662no—
1515C4⋊C4—1662no—
1516C4⋊C4—1662no—
1517C4⋊C4—1662no—
1518C4⋊C4—1662no—
1519C4⋊C4—1662no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—41no—
1534C22⋊C4—41no—
1535C22⋊C4—3321no—
1536C22⋊C4—3321no—
1537C22⋊C4—3321no—
1538C22⋊C4—3321no—
1539C22⋊C4—3321no—
1540C22⋊C4—3321no—
1541C22⋊C4—3321no—
1542C22⋊C4—3321no—
1543C22⋊C4—3321no—
1544C22⋊C4—3321no—
1545C22⋊C4—3321no—
1546C22⋊C4—3321no—
1547C22⋊C4—3321no—
1548C22⋊C4—3321no—
1549C22⋊C4—3321no—
1550C22⋊C4—834no—
1551C22⋊C4—834no—
1552C22⋊C4—1662no—
1553C22⋊C4—1662no—
1554C22⋊C4—1662no—
1555C22⋊C4—1662no—
1556C22⋊C4—1662no—
1557C22⋊C4—1662no—
1558C22⋊C4—1662no—
1559C22⋊C4—1662no—
1560C22⋊C4—1662no—
1561C22⋊C4—1662no—
1562C22⋊C4—1662no—
1563C22⋊C4—1662no—
1564C22⋊C4—1662no—
1565C22⋊C4—1662no—
1566C22⋊C4—1662no—
1567C22⋊C4—1662no—
1568C22⋊C4—1662no—
1569C22⋊C4—1662no—
1570C22⋊C4—1662no—
1571C22⋊C4—1662no—
1572C22⋊C4—1662no—
1573C22⋊C4—1662no—
1574C22⋊C4—1662no—
1575C22⋊C4—1662no—
1576C42—3321no—
1577C42—3321no—
1578C42—834no—
1579C42—1662no—
1580C42—1662no—
1581C42—1662no—
1582C42—1662no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—28no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—28no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—44no—
1624C23—44no—
1625C23—44no—
1626C23—44no—
1627C23—44no—
1628C23—44no—
1629C23—44no—
1630C23—3324no—
1631C23—3324no—
1632C23—3324no—
1633C23—6642no—
1634C23—6642no—
1635C23—6642no—
1636C23—6642no—
1637C23—1661no—
1638C23—1661no—
1639C23—1661no—
1640C23—1661no—
1641C23—1661no—
1642C23—1661no—
1643C23—1661no—
1644C23—1661no—
1645C23—1661no—
1646C23—1661no—
1647C23—1661no—
1648C23—1661no—
1649C23—1661no—
1650C23—1661no—
1651C23C2×D4×D8312yes—
1652C23C2×D4×D8312yes—
1653C23C2×#1305058912yes—
1654C23C2×#1305058912yes—
1655C23C2×#1305058912yes—
1656C23C2×#1305058912yes—
1657C23C2×#1305058912yes—
1658C23#1458183712yes—
1659C23#1458183812yes—
1660C23C24×D8311yescharacteristic
1661Q8—6642no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—28no—
1666D4—44no—
1667D4—44no—
1668D4—44no—
1669D4—82no—
1670D4—82no—
1671D4—3324no—
1672D4—3324no—
1673D4—3324no—
1674D4—3324no—
1675D4—6642no—
1676D4—6642no—
1677D4—6642no—
1678D4—6642no—
1679D4—6642no—
1680D4—6642no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—82no—
1708C2×C4—82no—
1709C2×C4—3324no—
1710C2×C4—3324no—
1711C2×C4—3324no—
1712C2×C4—3324no—
1713C2×C4—3324no—
1714C2×C4—3324no—
1715C2×C4—3324no—
1716C2×C4—3324no—
1717C2×C4—3324no—
1718C2×C4—3324no—
1719C2×C4—3324no—
1720C2×C4—3324no—
1721C2×C4—832no—
1722C2×C4—832no—
1723C2×C4—832no—
1724C2×C4—832no—
1725C2×C4—832no—
1726C2×C4—6642no—
1727C2×C4—1661no—
1728C2×C4—1661no—
1729C2×C4—1661no—
1730C2×C4—1661no—
1731C2×C4—1661no—
1732C2×C4—1661no—
1733C2×C4—1661no—
1734C2×C4—1661no—
1735C2×C4—1661no—
1736C2×C4—1661no—
1737C2×C4—1661no—
1738C2×C4—1661no—
1739C2×C4—1661no—
1740C2×C4—1661no—
1741C2×C4—1661no—
1742C2×C4—1661no—
1743C2×C4—1661no—
1744C2×C4—1661no—
1745C2×C4—1661no—
1746C2×C4—1661no—
1747C2×C4—1661no—
1748C2×C4—1661no—
1749C2×C4—1661no—
1750C2×C4—1661no—
1751C2×C4—1661no—
1752C2×C4—1661no—
1753C2×C4—1661no—
1754C2×C4—1668no—
1755C2×C4—1661no—
1756C2×C4—1661no—
1757C2×C4—1661no—
1758C2×C4—1661no—
1759C2×C4—1661no—
1760C2×C4—1661no—
1761C2×C4—1661no—
1762C2×C4—1661no—
1763C2×C4—1661no—
1764C2×C4—1661no—
1765C2×C4C2×D4×D8312yes—
1766C2×C4C2×#1305058912yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—416no—
1789C22—416no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—3321no—
1810C22—3321no—
1811C22—3321no—
1812C22—3321no—
1813C22—3321no—
1814C22—3321no—
1815C22—3321no—
1816C22—3321no—
1817C22—3321no—
1818C22—3321no—
1819C22—3321no—
1820C22—3321no—
1821C22—3321no—
1822C22—3321no—
1823C22—6648no—
1824C22#1912820714yes—
1825C22#1912828814yescomplemented
1826C22C22×D4×D8311yescharacteristic
1827C22C22×#1305058911yescharacteristic
1828C22C22×#1305058911yescharacteristic
1829C22H(5,𝔽2)×D8311yescharacteristic
1830C22C2×#1458183711yescharacteristic
1831C22C2×#1458183811yescharacteristic
1832C22#1912853611yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—3321no—
1843C4—3321no—
1844C4—3321no—
1845C4—3321no—
1846C4—3321no—
1847C4—3321no—
1848C4—3321no—
1849C4—3321no—
1850C4—3321no—
1851C4—1662no—
1852C4—1662no—
1853C4—1662no—
1854C4—1662no—
1855C4—1662no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—42no—
1860C2—42no—
1861C2—81no—
1862C2—6641no—
1863C2—6641no—
1864C2C2×#1912820711yescharacteristic
1865C2C2×#1912828811yescharacteristic
1866C2#2492086911yescharacteristic
1867C2#2492109311yescharacteristic
1868C2#2492112311yescharacteristic
1869C2#2492140411yescharacteristic
1870C2#2492148211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2410C2
hypercenter#2410D83
hypocenterC83#34990
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#19128288C2semidirect
2. C22×D4×Dic83C2semidirect
3. #24915780C2semidirect
4. #24915760C2semidirect
5. #24915757C2semidirect
6. #24915743C2semidirect
7. #24913359C2semidirect
8. #24913346C2semidirect
9. #24913314C2semidirect
10. #24913301C2semidirect
11. #24911721C2semidirect
12. #24911586C2semidirect
13. #24911507C2semidirect
14. #24911393C2semidirect
15. #24911348C2semidirect
16. #24911348C2semidirect
17. #24911291C2semidirect
18. #24911209C2semidirect
19. #24911196C2semidirect
20. #24911124C2semidirect
21. #24911005C2semidirect
22. #24911003C2semidirect
23. #24910923C2semidirect
24. #24910838C2semidirect
25. #24910773C2semidirect
26. #24910168C2semidirect
27. #24910126C2semidirect
28. #24910089C2semidirect
29. #120×Dic83C2semidirect
30. C2×#19127578C2semidirect
31. C83×#2410C2semidirect
34. C24×Dic83C22semidirect
36. C2×#14581787C22semidirect
37. C2×#14581787C22semidirect
38. C2×#14581778C22semidirect
39. C2×#14581778C22semidirect
40. C2×#14581776C22semidirect
41. C2×#14581776C22semidirect
42. C2×#14581776C22semidirect
43. C2×#14581771C22semidirect
44. C2×#14581769C22semidirect
47. C2×#14581764C22semidirect
48. C2×#14581764C22semidirect
49. C2×#14581764C22semidirect
54. C2×#14581760C22semidirect
60. C2×D4×Dic83C22semidirect
61. C2×D4×Dic83C22semidirect
62. C2×D4×Dic83C22semidirect
63. C2×D4×Dic83C22semidirect
64. C2×D4×Dic83C22semidirect
65. C2×D4×Dic83C22semidirect
66. C2×D4×Dic83C22semidirect
67. C22×C4⋊Dic83C22semidirect
69. C22×C22⋊Dic83C22semidirect
70. C22×(C2×D83)⋊C4C22semidirect
71. C22×(C2×D83)⋊C4C22semidirect
72. C22×C4×Dic83C22semidirect
73. #19127643C22semidirect
74. #19127640C22semidirect
75. #19127638C22semidirect
76. #19127637C22semidirect
77. #19127633C22semidirect
78. #19127629C22semidirect
79. #19127628C22semidirect
80. #19127626C22semidirect
81. #19127624C22semidirect
82. #19127624C22semidirect
83. #19127624C22semidirect
84. #19127623C22semidirect
85. #19127617C22semidirect
86. #19127617C22semidirect
87. #19127617C22semidirect
88. #19127616C22semidirect
89. #19127616C22semidirect
90. #19127616C22semidirect
91. #19127615C22semidirect
92. #19127613C22semidirect
93. #19127613C22semidirect
98. #19127609C22semidirect
99. #19127609C22semidirect
100. #19127609C22semidirect
101. #19127605C22semidirect
102. #19127601C22semidirect
103. #19127601C22semidirect
104. #19127601C22semidirect
105. #19127595C22semidirect
106. #19127594C22semidirect
107. #19127594C22semidirect
108. #19127593C22semidirect
109. #19127593C22semidirect
110. #19127593C22semidirect
111. #19127593C22semidirect
112. #19127591C22semidirect
113. #19127590C22semidirect
114. #19127590C22semidirect
115. #19127589C22semidirect
116. #19127589C22semidirect
117. #19127587C22semidirect
118. #19127587C22semidirect
119. #19127586C22semidirect
120. #19127584C22semidirect
121. #19127584C22semidirect
122. #19127582C22semidirect
125. #19127581C22semidirect
126. #19127581C22semidirect
127. #19127581C22semidirect
128. #19127581C22semidirect
129. #19127581C22semidirect
130. #19127581C22semidirect
131. #19127581C22semidirect
140. #19127578C22semidirect
141. #19127578C22semidirect
142. #19127578C22semidirect
143. #19127578C22semidirect
144. #19127578C22semidirect
145. #19127578C22semidirect
146. #19127578C22semidirect
147. #19127578C22semidirect
148. #19127576C22semidirect
149. #19127576C22semidirect
150. #19127576C22semidirect
151. #19127576C22semidirect
152. #19127576C22semidirect
153. #19127576C22semidirect
154. #19127576C22semidirect
155. #19127574C22semidirect
156. #19127574C22semidirect
157. #19127573C22semidirect
158. #19127573C22semidirect
159. #19127568C22semidirect
160. #19127565C22semidirect
161. #19127562C22semidirect
162. #19127562C22semidirect
163. #19127561C22semidirect
164. #19127559C22semidirect
165. #19127559C22semidirect
166. #19127559C22semidirect
168. #19127556C22semidirect
169. C22⋊C4×Dic83C22semidirect
170. C22⋊C4×Dic83C22semidirect
171. C22⋊C4×Dic83C22semidirect
172. C2×C83⋊#95C22semidirect
173. C2×C83⋊#95C22semidirect
178. C2×#120×C83C22semidirect
180. #394×C83C22semidirect
181. #394×C83C22semidirect
182. #392×C83C22semidirect
183. #392×C83C22semidirect
186. #386×C83C22semidirect
187. #385×C83C22semidirect
188. #379×C83C22semidirect
253. D4×Dic83D4semidirect
483. C22×Dic83C2×D4semidirect
507. C4⋊Dic83C2×D4semidirect
538. C22⋊Dic83C2×D4semidirect
563. C4×Dic83C2×D4semidirect
874. C22×C83#538semidirect
960. #2410D83semidirect
967. C83#34990semidirect
995. C2×#120C2×D83semidirect
1034. #394C2×D83semidirect
1035. #394C2×D83semidirect
1045. #392C2×D83semidirect
1046. #392C2×D83semidirect
1096. #386C2×D83semidirect
1108. #385C2×D83semidirect
1119. #379C2×D83semidirect
1825. C22#19128288semidirect

Maximal subgroups

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

subgroupindex
C2×#191282882
C22×D4×Dic832
#249157802
#249157602
#249157572
#249157432
#249133592
#249133462
#249133142
#249133012
#249117212
#249115862
#249115072
#249113932
#249113482
#249112912
#249112092
#249111962
#249111242
#249110052
#249110032
#249109232
#249108382
#249107732
#249101682
#249101262
#249100892
#120×Dic832
C2×#191275782
C83×#24102
#3499083