Finite Group Databasebeta

← #35612752

Subgroups — #35612752

Order 21248.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915754C211yesmaximal, characteristic, complemented
2#24915744C211yesmaximal, characteristic, complemented
3#24915082C211yesmaximal, characteristic, complemented
4#24915074C211yesmaximal, characteristic, complemented
5#24914840C211yesmaximal, characteristic, complemented
6#24914694C211yesmaximal, characteristic, complemented
7#24914689C211yesmaximal, characteristic, complemented
8#24914687C211yesmaximal, characteristic, complemented
9#24914595C211yesmaximal, characteristic, complemented
10#24914099C211yesmaximal, characteristic, complemented
11#24914028C211yesmaximal, characteristic, complemented
12#24914014C211yesmaximal, characteristic, complemented
13#24913896C211yesmaximal, characteristic, complemented
14#24913840C211yesmaximal, characteristic, complemented
15#24913794C211yesmaximal, characteristic, complemented
16#24913764C211yesmaximal, characteristic, complemented
17#24913666C211yesmaximal, characteristic, complemented
18#24913417C211yesmaximal, characteristic, complemented
19#24913394C211yesmaximal, characteristic, complemented
20#24912026C211yesmaximal, characteristic, complemented
21#24911582C211yesmaximal, characteristic, complemented
22#24911212C211yesmaximal, characteristic, complemented
23#24911128C211yesmaximal, characteristic, complemented
24#24910996C211yesmaximal, characteristic, complemented
25#24910834C211yesmaximal, characteristic, complemented
26#24910830C211yesmaximal, characteristic, complemented
27#24910772C211yesmaximal, characteristic, complemented
28#24910119C211yesmaximal, characteristic, complemented
29#24910037C211yesmaximal, characteristic, complemented
30#386×D83C211yesmaximal, characteristic, complemented
31C83×#2688C211yesmaximal, characteristic, complemented
32C22×D4×D83C2211yescharacteristic
33C22×D4×D83C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic, complemented
35C2×#14581778C2211yescharacteristic, complemented
36C2×#14581774C2211yescharacteristic, complemented
37C2×#14581774C2211yescharacteristic, complemented
38C2×#14581771C2211yescharacteristic, complemented
39C2×#14581770C2211yescharacteristic, complemented
40C2×#14581765C2211yescharacteristic
41C2×#14581765C2211yescharacteristic, complemented
42C2×#14581764C2211yescharacteristic, complemented
43C2×#14581764C2211yescharacteristic, complemented
44C2×#14581763C2211yescharacteristic
45C2×#14581762C2211yescharacteristic
46C2×#14581762C2211yescharacteristic
47C2×#14581760C2211yescharacteristic
48C2×#14581760C2211yescharacteristic
49C2×#14581760C2211yescharacteristic
50C2×#14581760C2211yescharacteristic, complemented
51C2×#14581760C2211yescharacteristic, complemented
52C2×C4×C22⋊D83C2211yescharacteristic, complemented
53C22×(C2×D83)⋊C4C2211yescharacteristic
54C2×C22⋊C4×D83C2211yescharacteristic
55C2×C22⋊C4×D83C2211yescharacteristic
56C2×C22⋊C4×D83C2211yescharacteristic, complemented
57C83⋊#401C2211yescharacteristic, complemented
58C83⋊#401C2211yescharacteristic, complemented
59#19127642C2211yescharacteristic, complemented
60#19127642C2211yescharacteristic, complemented
61#19127642C2211yescharacteristic, complemented
62#19127641C2211yescharacteristic, complemented
63#19127641C2211yescharacteristic, complemented
64#19127640C2211yescharacteristic, complemented
65#19127636C2211yescharacteristic, complemented
66#19127630C2211yescharacteristic, complemented
67#19127630C2211yescharacteristic, complemented
68#19127630C2211yescharacteristic, complemented
69#19127629C2211yescharacteristic, complemented
70#19127629C2211yescharacteristic, complemented
71#19127629C2211yescharacteristic, complemented
72#19127629C2211yescharacteristic, complemented
73#19127627C2211yescharacteristic, complemented
74#19127625C2211yescharacteristic, complemented
75#19127623C2211yescharacteristic, complemented
76#19127623C2211yescharacteristic, complemented
77#19127623C2211yescharacteristic, complemented
78#19127619C2211yescharacteristic, complemented
79#19127618C2211yescharacteristic
80#19127617C2211yescharacteristic, complemented
81#19127617C2211yescharacteristic, complemented
82#19127616C2211yescharacteristic
83#19127616C2211yescharacteristic, complemented
84#19127615C2211yescharacteristic, complemented
85#19127615C2211yescharacteristic, complemented
86#19127615C2211yescharacteristic, complemented
87#19127615C2211yescharacteristic, complemented
88#19127614C2211yescharacteristic, complemented
89#19127614C2211yescharacteristic, complemented
90#19127613C2211yescharacteristic, complemented
91#19127613C2211yescharacteristic, complemented
92#19127610C2211yescharacteristic
93#19127610C2211yescharacteristic
94#19127609C2211yescharacteristic
95#19127609C2211yescharacteristic
96#19127609C2211yescharacteristic
97#19127609C2211yescharacteristic, complemented
98#19127609C2211yescharacteristic, complemented
99#19127604C2211yescharacteristic, complemented
100#19127602C2211yescharacteristic, complemented
101#19127601C2211yescharacteristic, complemented
102#19127601C2211yescharacteristic, complemented
103#19127595C2211yescharacteristic, complemented
104#19127595C2211yescharacteristic, complemented
105#19127595C2211yescharacteristic, complemented
106#19127594C2211yescharacteristic, complemented
107#19127593C2211yescharacteristic, complemented
108#19127590C2211yescharacteristic, complemented
109#19127590C2211yescharacteristic, complemented
110#19127590C2211yescharacteristic, complemented
111#19127589C2211yescharacteristic, complemented
112#19127589C2211yescharacteristic, complemented
113#19127584C2211yescharacteristic, complemented
114#19127582C2211yescharacteristic, complemented
115#19127581C2211yescharacteristic, complemented
116#19127581C2211yescharacteristic, complemented
117#19127581C2211yescharacteristic, complemented
118#19127581C2211yescharacteristic, complemented
119#19127580C2211yescharacteristic
120#19127580C2211yescharacteristic, complemented
121#19127580C2211yescharacteristic, complemented
122#19127580C2211yescharacteristic, complemented
123#19127580C2211yescharacteristic, complemented
124#19127580C2211yescharacteristic, complemented
125#19127580C2211yescharacteristic, complemented
126#19127579C2211yescharacteristic
127#19127579C2211yescharacteristic
128#19127579C2211yescharacteristic
129#19127579C2211yescharacteristic
130#19127579C2211yescharacteristic
131#19127579C2211yescharacteristic
132#19127579C2211yescharacteristic
133#19127579C2211yescharacteristic, complemented
134#19127578C2211yescharacteristic
135#19127578C2211yescharacteristic, complemented
136#19127577C2211yescharacteristic
137#19127577C2211yescharacteristic
138#19127577C2211yescharacteristic
139#19127577C2211yescharacteristic
140#19127577C2211yescharacteristic
141#19127577C2211yescharacteristic, complemented
142#19127577C2211yescharacteristic, complemented
143#19127577C2211yescharacteristic, complemented
144#19127577C2211yescharacteristic, complemented
145#19127577C2211yescharacteristic, complemented
146#19127577C2211yescharacteristic, complemented
147#19127576C2211yescharacteristic, complemented
148#19127575C2211yescharacteristic, complemented
149#19127575C2211yescharacteristic, complemented
150#19127575C2211yescharacteristic, complemented
151#19127574C2211yescharacteristic, complemented
152#19127573C2211yescharacteristic, complemented
153#19127572C2211yescharacteristic, complemented
154#19127572C2211yescharacteristic, complemented
155#19127568C2211yescharacteristic, complemented
156#19127563C2211yescharacteristic, complemented
157#19127563C2211yescharacteristic, complemented
158#19127563C2211yescharacteristic, complemented
159#19127563C2211yescharacteristic, complemented
160#19127560C2211yescharacteristic, complemented
161#19127560C2211yescharacteristic, complemented
162#19127559C2211yescharacteristic, complemented
163#19127559C2211yescharacteristic, complemented
164#19127556C2211yescharacteristic
165#19127556C2211yescharacteristic, complemented
166#19127556C2211yescharacteristic, complemented
167#19127556C2211yescharacteristic, complemented
168#19127556C2211yescharacteristic, complemented
169#19127548C2211yescharacteristic, complemented
170#95×D83C2211yescharacteristic, complemented
171#95×D83C2211yescharacteristic, complemented
172C2×#121×C83C2211yescharacteristic, complemented
173C2×#121×C83C2211yescharacteristic, complemented
174#400×C83C2211yescharacteristic, complemented
175#397×C83C2211yescharacteristic, complemented
176#397×C83C2211yescharacteristic, complemented
177#394×C83C2211yescharacteristic, complemented
178#392×C83C2211yescharacteristic
179#392×C83C2211yescharacteristic, complemented
180#386×C83C2211yescharacteristic, complemented
181#386×C83C2211yescharacteristic, complemented
182#386×C83C2211yescharacteristic, complemented
183#386×C83C2211yescharacteristic, complemented
184#386×C83C2211yescharacteristic, complemented
185#385×C83C2211yescharacteristic, complemented
186#381×C83C2211yescharacteristic, complemented
187C24×D83C2311yescharacteristic
188C24×D83C2311yescharacteristic
189C24×D83C2311yescharacteristic
190C22×Dic166C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×D332C2311yescharacteristic
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
204C2×D4×D83—24no—
205C2×D4×D83—24no—
206C2×D4×D83—42no—
207C2×D4×D83—42no—
208C2×D4×D83—42no—
209C2×D4×D83—42no—
210C23×Dic83C2311yescharacteristic
211C23×Dic83C2311yescharacteristic
212C22×C4×D83—42no—
213C22×C4×D83—42no—
214C22×C4×D83—42no—
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223#14581778—42no—
224#14581774—42no—
225#14581774—42no—
226#14581771—42no—
227#14581770—42no—
228#14581765—42no—
229#14581765—42no—
230#14581764—42no—
231#14581764—42no—
232#14581763—42no—
233#14581762—42no—
234#14581762—42no—
235#14581760—24no—
236#14581760—42no—
237#14581760—42no—
238#14581760—42no—
239#14581760—42no—
240C4×C22⋊D83—42no—
241C2×C4⋊Dic83C2311yescharacteristic
242C2×C4⋊Dic83C2311yescharacteristic
243C2×C4⋊Dic83C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×C22⋊Dic83C2311yescharacteristic
260C2×C22⋊Dic83C2311yescharacteristic
261C2×C22⋊Dic83C2311yescharacteristic
262C2×C22⋊Dic83C2311yescharacteristic
263C2×C22⋊Dic83C2311yescharacteristic
264C2×C22⋊Dic83C2311yescharacteristic
265C2×C22⋊Dic83C2311yescharacteristic
266C2×C22⋊Dic83C2311yescharacteristic
267C2×C22⋊Dic83C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×(C2×D83)⋊C4—42no—
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
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
302C22⋊C4×D83—42no—
303C22⋊C4×D83—42no—
304C22⋊C4×D83—42no—
305C2×C4×Dic83C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C22×D4×C83C2311yescharacteristic
339C22×D4×C83C2311yescharacteristic
340C22×D4×C83C2311yescharacteristic
341C22×D4×C83C2311yescharacteristic
342C22×D4×C83C2311yescharacteristic
343C22×D4×C83C2311yescharacteristic
344C23×C4×C83C2311yescharacteristic
345C23×C4×C83C2311yescharacteristic
346C23×C4×C83C2311yescharacteristic
347#121×C83—42no—
348#121×C83—42no—
349C2×C4⋊C4×C83C2311yescharacteristic
350C2×C4⋊C4×C83C2311yescharacteristic
351C2×C4⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C22⋊C4×C83C2311yescharacteristic
358C2×C22⋊C4×C83C2311yescharacteristic
359C2×C22⋊C4×C83C2311yescharacteristic
360C2×C22⋊C4×C83C2311yescharacteristic
361C2×C22⋊C4×C83C2311yescharacteristic
362C2×C22⋊C4×C83C2311yescharacteristic
363C2×C22⋊C4×C83C2311yescharacteristic
364C2×C22⋊C4×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369#95×C83C2311yescharacteristic
370#95×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375C23×D83—22no—
376C23×D83—22no—
377C23×D83—22no—
378C23×D83—22no—
379C23×D83—22no—
380C23×D83—22no—
381C23×D83—22no—
382C23×D83—22no—
383C23×D83—41no—
384C23×D83—41no—
385C23×D83—41no—
386C23×D83—41no—
387C23×D83—41no—
388C23×D83—41no—
389C23×D83—41no—
390C23×D83—41no—
391C23×D83—41no—
392C23×D83—41no—
393C23×D83—41no—
394C23×D83—41no—
395C23×D83#4114yes—
396C23×D83C2411yescharacteristic
397C23×D83C2411yescharacteristic
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400C2×Dic166—41no—
401C2×Dic166—41no—
402C2×Dic166—41no—
403C2×D332—22no—
404C2×D332—22no—
405C2×D332—22no—
406C2×D332—22no—
407C2×D332—22no—
408C2×D332—22no—
409C2×D332—41no—
410C2×D332—41no—
411C2×D332—41no—
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—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—
442D4×D83—416no—
443D4×D83—416no—
444C22×Dic83—22no—
445C22×Dic83—41no—
446C22×Dic83—41no—
447C22×Dic83—41no—
448C22×Dic83—41no—
449C22×Dic83—41no—
450C22×Dic83C2411yescharacteristic
451C22×Dic83C2411yescharacteristic
452C22×Dic83C2411yescharacteristic
453C22×Dic83C2411yescharacteristic
454C22×Dic83C2411yescharacteristic
455C22×Dic83C2411yescharacteristic
456C22×Dic83C2411yescharacteristic
457C22×Dic83C2411yescharacteristic
458C22×Dic83C2411yescharacteristic
459C22×Dic83C2411yescharacteristic
460C22×Dic83C2411yescharacteristic
461C22×Dic83C2411yescharacteristic
462C2×C4×D83—22no—
463C2×C4×D83—22no—
464C2×C4×D83—22no—
465C2×C4×D83—22no—
466C2×C4×D83—22no—
467C2×C4×D83—22no—
468C2×C4×D83—22no—
469C2×C4×D83—22no—
470C2×C4×D83—22no—
471C2×C4×D83—22no—
472C2×C4×D83—41no—
473C2×C4×D83—41no—
474C2×C4×D83—41no—
475C2×C4×D83—41no—
476C2×C4×D83—41no—
477C2×C4×D83—41no—
478C2×C4×D83—41no—
479C2×C4×D83—41no—
480C2×C4×D83—41no—
481C2×C4×D83—41no—
482C2×C4×D83—416no—
483C2×C4×D83—41no—
484C2×C4×D83—41no—
485C2×C4×D83—41no—
486C2×C4×D83—41no—
487C4⋊Dic83—22no—
488C4⋊Dic83—41no—
489C4⋊Dic83—41no—
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⋊C4—41no—
499Dic83⋊C4—41no—
500C22⋊Dic83—22no—
501C22⋊Dic83—22no—
502C22⋊Dic83—22no—
503C22⋊Dic83—22no—
504C22⋊Dic83—41no—
505C22⋊Dic83—41no—
506C22⋊Dic83—41no—
507C22⋊Dic83—41no—
508C22⋊Dic83—41no—
509C22⋊Dic83—41no—
510C22⋊Dic83—41no—
511C22⋊Dic83—41no—
512C22⋊Dic83—41no—
513C22⋊Dic83—41no—
514C22⋊Dic83—41no—
515C22⋊Dic83—41no—
516C22⋊Dic83—41no—
517(C2×D83)⋊C4—22no—
518(C2×D83)⋊C4—22no—
519(C2×D83)⋊C4—22no—
520(C2×D83)⋊C4—22no—
521(C2×D83)⋊C4—22no—
522(C2×D83)⋊C4—22no—
523(C2×D83)⋊C4—22no—
524(C2×D83)⋊C4—22no—
525(C2×D83)⋊C4—41no—
526(C2×D83)⋊C4—41no—
527(C2×D83)⋊C4—41no—
528(C2×D83)⋊C4—41no—
529(C2×D83)⋊C4—41no—
530(C2×D83)⋊C4—41no—
531(C2×D83)⋊C4—41no—
532(C2×D83)⋊C4—41no—
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)⋊C4—41no—
547C4×Dic83—41no—
548C4×Dic83—41no—
549C4×Dic83—41no—
550C24×C83C2411yescharacteristic
551C24×C83C2411yescharacteristic
552C24×C83C2411yescharacteristic
553C24×C83C2411yescharacteristic
554C2×D4×C83—22no—
555C2×D4×C83—22no—
556C2×D4×C83—22no—
557C2×D4×C83—22no—
558C2×D4×C83—22no—
559C2×D4×C83—22no—
560C2×D4×C83—41no—
561C2×D4×C83—41no—
562C2×D4×C83—41no—
563C2×D4×C83—41no—
564C2×D4×C83—41no—
565C2×D4×C83—41no—
566C2×D4×C83—41no—
567C2×D4×C83—41no—
568C2×D4×C83—41no—
569C2×D4×C83—41no—
570C2×D4×C83—41no—
571C2×D4×C83—41no—
572C22×C4×C83—41no—
573C22×C4×C83—41no—
574C22×C4×C83—41no—
575C22×C4×C83—41no—
576C22×C4×C83—41no—
577C22×C4×C83—41no—
578C22×C4×C83—41no—
579C22×C4×C83—41no—
580C22×C4×C83—41no—
581C22×C4×C83C2411yescharacteristic
582C22×C4×C83C2411yescharacteristic
583C22×C4×C83C2411yescharacteristic
584C22×C4×C83C2411yescharacteristic
585C22×C4×C83C2411yescharacteristic
586C22×C4×C83C2411yescharacteristic
587C22×C4×C83C2411yescharacteristic
588C22×C4×C83C2411yescharacteristic
589C22×C4×C83C2411yescharacteristic
590C22×C4×C83C2411yescharacteristic
591C22×C4×C83C2411yescharacteristic
592C4⋊C4×C83—41no—
593C4⋊C4×C83—41no—
594C4⋊C4×C83—41no—
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—41no—
605C22⋊C4×C83—41no—
606C22⋊C4×C83—41no—
607C22⋊C4×C83—41no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—21no—
611C23×C83—21no—
612C23×C83—21no—
613C23×C83—21no—
614C23×C83—21no—
615C23×C83—21no—
616C23×C83—21no—
617C23×C83—21no—
618C23×C83—21no—
619C23×C83—21no—
620C23×C83—21no—
621C23×C83—21no—
622C23×C83—21no—
623C23×C83—21no—
624C23×C83—21no—
625C23×C83—21no—
626C23×C83—21no—
627C23×C83—21no—
628C23×C83—21no—
629C23×C83—21no—
630C23×C83—21no—
631C23×C83—21no—
632C23×C83—21no—
633C23×C83—21no—
634C23×C83C2×#4112yes—
635C23×C83H(5,𝔽2)12yes—
636C23×C83C2511yescharacteristic
637C22×D83—21no—
638C22×D83—21no—
639C22×D83—21no—
640C22×D83—21no—
641C22×D83—28no—
642C22×D83—21no—
643C22×D83—21no—
644C22×D83—21no—
645C22×D83—21no—
646C22×D83—21no—
647C22×D83—21no—
648C22×D83—21no—
649C22×D83—21no—
650C22×D83—21no—
651C22×D83—21no—
652C22×D83—21no—
653C22×D83—21no—
654C22×D83—28no—
655C22×D83—21no—
656C22×D83—21no—
657C22×D83—21no—
658C22×D83—21no—
659C22×D83—21no—
660C22×D83—21no—
661C22×D83—21no—
662C22×D83—44no—
663C22×D83—44no—
664C22×D83—44no—
665C22×D83—44no—
666C22×D83—44no—
667C22×D83—44no—
668C22×D83—44no—
669C22×D83—44no—
670C22×D83—44no—
671C22×D83—82no—
672C22×D83—82no—
673C22×D83—82no—
674C22×D83—82no—
675C22×D83—82no—
676C22×D83—82no—
677C22×D83—82no—
678C22×D83—82no—
679C22×D83—82no—
680C22×D83—82no—
681C22×D83C2×#4112yes—
682C22×D83C2×#4112yes—
683C22×D83H(5,𝔽2)12yes—
684C22×D83H(5,𝔽2)12yes—
685C22×D83H(5,𝔽2)12yes—
686D4×C83—44no—
687D4×C83—44no—
688D4×C83—82no—
689D4×C83—82no—
690D4×C83—82no—
691D4×C83—82no—
692C2×C4×C83—21no—
693C2×C4×C83—21no—
694C2×C4×C83—21no—
695C2×C4×C83—21no—
696C2×C4×C83—21no—
697C2×C4×C83—21no—
698C2×C4×C83—21no—
699C2×C4×C83—21no—
700C2×C4×C83—21no—
701C2×C4×C83—21no—
702C2×C4×C83—21no—
703C2×C4×C83—21no—
704C2×C4×C83—21no—
705C2×C4×C83—21no—
706C2×C4×C83—21no—
707C2×C4×C83—21no—
708C2×C4×C83—21no—
709C2×C4×C83—21no—
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—44no—
726C2×C4×C83—82no—
727C2×C4×C83—82no—
728C22⋊D83—44no—
729C22⋊D83—44no—
730C22⋊D83—44no—
731C22⋊D83—44no—
732C22⋊D83—44no—
733C22⋊D83—82no—
734C22⋊D83—82no—
735C22⋊D83—82no—
736C22⋊D83—82no—
737C22⋊D83—82no—
738C2×Dic83—21no—
739C2×Dic83—21no—
740C2×Dic83—21no—
741C2×Dic83—21no—
742C2×Dic83—21no—
743C2×Dic83—21no—
744C2×Dic83—21no—
745C2×Dic83—21no—
746C2×Dic83—21no—
747C2×Dic83—21no—
748C2×Dic83—21no—
749C2×Dic83—21no—
750C2×Dic83—21no—
751C2×Dic83—21no—
752C2×Dic83—21no—
753C2×Dic83—21no—
754C2×Dic83—21no—
755C2×Dic83—21no—
756C2×Dic83—21no—
757C2×Dic83—21no—
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—44no—
774C2×Dic83—82no—
775C2×Dic83H(5,𝔽2)12yes—
776D332—44no—
777D332—44no—
778D332—82no—
779C4×D83—44no—
780C4×D83—44no—
781C4×D83—44no—
782C4×D83—44no—
783C4×D83—44no—
784C4×D83—44no—
785C4×D83—82no—
786C4×D83—82no—
787Dic166—82no—
788C22×C83—22no—
789C22×C83—22no—
790C22×C83—22no—
791C22×C83—22no—
792C22×C83—22no—
793C22×C83—22no—
794C22×C83—41no—
795C22×C83—41no—
796C22×C83—41no—
797C22×C83—41no—
798C22×C83—41no—
799C22×C83—41no—
800C22×C83—41no—
801C22×C83—41no—
802C22×C83—41no—
803C22×C83—41no—
804C22×C83—41no—
805C22×C83—41no—
806C22×C83—41no—
807C22×C83—41no—
808C22×C83—41no—
809C22×C83—41no—
810C22×C83—41no—
811C22×C83—41no—
812C22×C83—41no—
813C22×C83—41no—
814C22×C83—41no—
815C22×C83—41no—
816C22×C83C22×#4111yescharacteristic
817C22×C83C2×H(5,𝔽2)11yescharacteristic
818C22×C83C2×H(5,𝔽2)11yescharacteristic
819C22×C83C2×H(5,𝔽2)11yescharacteristic
820C22×C83C2×H(5,𝔽2)11yescharacteristic
821C22×C83C2×H(5,𝔽2)11yescharacteristic
822C22×C83#58511yescharacteristic
823C2×D83—22no—
824C2×D83—22no—
825C2×D83—22no—
826C2×D83—22no—
827C2×D83—22no—
828C2×D83—22no—
829C2×D83—22no—
830C2×D83—22no—
831C2×D83—22no—
832C2×D83—22no—
833C2×D83—22no—
834C2×D83—22no—
835C2×D83—416no—
836C2×D83—41no—
837C2×D83—41no—
838C2×D83—41no—
839C2×D83—41no—
840C2×D83—41no—
841C2×D83—41no—
842C2×D83—41no—
843C2×D83—41no—
844C2×D83—41no—
845C2×D83—41no—
846C2×D83—41no—
847C2×D83—41no—
848C2×D83—41no—
849C2×D83—41no—
850C2×D83—41no—
851C2×D83—88no—
852C2×D83—88no—
853C2×D83#53814yes—
854C4×C83—41no—
855C4×C83—41no—
856C4×C83—41no—
857C4×C83—41no—
858C4×C83—41no—
859C4×C83—41no—
860C4×C83—41no—
861C4×C83—41no—
862C4×C83—41no—
863C4×C83—41no—
864C4×C83—41no—
865Dic83—22no—
866Dic83—41no—
867Dic83—41no—
868Dic83—41no—
869Dic83—41no—
870Dic83—41no—
871Dic83—41no—
872Dic83—41no—
873Dic83—41no—
874Dic83—41no—
875Dic83—41no—
876Dic83—41no—
877#36776—831nomaximal, Sylow
878C2×C83—42no—
879C2×C83—42no—
880C2×C83—81no—
881C2×C83—81no—
882C2×C83C2×#53811yescharacteristic
883C2×C83#349011yescharacteristic
884C2×C83#350511yescharacteristic
885C2×C83#353211yescharacteristic
886C2×C83#353411yescharacteristic
887C2×C83#353411yescharacteristic
888C2×C83#353711yescharacteristic
889D83—24no—
890D83—42no—
891D83—42no—
892D83—81no—
893#2849—831no—
894#2847—831no—
895#2778—831no—
896#2778—831no—
897#2760—831no—
898#2750—831no—
899#2749—831no—
900#2749—831no—
901#2743—831no—
902#2703—831no—
903#2697—831no—
904#2696—831no—
905#2688—831no—
906#2688D8311yescharacteristic, complemented
907#2684—831no—
908#2678—831no—
909#2676—831no—
910#2668—831no—
911#2643—831no—
912#2639—831no—
913#2510—831no—
914#2472—831no—
915#2444—831no—
916#2437—831no—
917#2424—831no—
918#2410—831no—
919#2410—831no—
920#2403—831no—
921#2321—831no—
922#2308—831no—
923C2×#386—831no—
924C83#3677611yescharacteristic, complemented, Sylow
925C23×D4—831no—
926C23×D4—831no—
927C24×C4—831no—
928C2×#124—831no—
929C2×#123—831no—
930C2×#123—831no—
931C2×C22⋊Q8—831no—
932C2×C22⋊Q8—831no—
933C2×#121—831no—
934C2×#121—831no—
935C2×#121—831no—
936C2×#121—831no—
937C2×#121—831no—
938C2×#121C2×D8311yescharacteristic, complemented
939C2×#121C2×D8311yescharacteristic, complemented
940C2×#120—831no—
941C2×#120—831no—
942C2×#120—831no—
943C2×#120—831no—
944C2×#120—831no—
945C2×#120—831no—
946C2×#120—831no—
947C2×C4×D4—831no—
948C22×C22⋊C4—831no—
949C22×C22⋊C4—831no—
950C22×C22⋊C4—831no—
951C22×C22⋊C4—831no—
952#401—831no—
953#401—831no—
954#400—831no—
955#400—831no—
956#400—831no—
957#400—831no—
958#400—831no—
959#400—831no—
960#400C2×D8311yescharacteristic, complemented
961#399—831no—
962#397—831no—
963#397—831no—
964#397—831no—
965#397—831no—
966#397—831no—
967#397—831no—
968#397—831no—
969#397—831no—
970#397C2×D8311yescharacteristic, complemented
971#397C2×D8311yescharacteristic, complemented
972#396—831no—
973#396—831no—
974#396—831no—
975#396—831no—
976#394—831no—
977#394—831no—
978#394—831no—
979#394—831no—
980#394—831no—
981#394—831no—
982#394—831no—
983#394—831no—
984#394—831no—
985#394—831no—
986#394C2×D8311yescharacteristic, complemented
987#393—831no—
988#393—831no—
989#393—831no—
990#393—831no—
991#392—831no—
992#392—831no—
993#392—831no—
994#392—831no—
995#392—831no—
996#392—831no—
997#392—831no—
998#392C2×D8311yescharacteristic
999#392C2×D8311yescharacteristic, complemented
1000#390—831no—
1001#390—831no—
1002#390—831no—
1003#390—831no—
1004#388—831no—
1005#388—831no—
1006#388—831no—
1007#388—831no—
1008#388—831no—
1009#388—831no—
1010#388—831no—
1011#388—831no—
1012#388—831no—
1013#388—831no—
1014#387—831no—
1015#387—831no—
1016#386—831no—
1017#386—831no—
1018#386—831no—
1019#386—831no—
1020#386—831no—
1021#386—831no—
1022#386—831no—
1023#386—831no—
1024#386—831no—
1025#386—831no—
1026#386—831no—
1027#386—831no—
1028#386—831no—
1029#386—831no—
1030#386—831no—
1031#386—831no—
1032#386—831no—
1033#386—831no—
1034#386—831no—
1035#386—831no—
1036#386—831no—
1037#386—831no—
1038#386—831no—
1039#386—831no—
1040#386—831no—
1041#386—831no—
1042#386—831no—
1043#386—831no—
1044#386—831no—
1045#386—831no—
1046#386—831no—
1047#386—831no—
1048#386C2×D8311yescharacteristic, complemented
1049#386C2×D8311yescharacteristic, complemented
1050#386C2×D8311yescharacteristic, complemented
1051#386C2×D8311yescharacteristic, complemented
1052#386C2×D8311yescharacteristic, complemented
1053#385—831no—
1054#385—831no—
1055#385—831no—
1056#385—831no—
1057#385—831no—
1058#385—831no—
1059#385—831no—
1060#385—831no—
1061#385C2×D8311yescharacteristic, complemented
1062#383—831no—
1063#381—831no—
1064#381—831no—
1065#381—831no—
1066#381—831no—
1067#381C2×D8311yescharacteristic, complemented
1068#380—831no—
1069#380—831no—
1070#380—831no—
1071#380—831no—
1072#379—831no—
1073#379—831no—
1074#379—831no—
1075#379—831no—
1076#379—831no—
1077C4×C22⋊C4—831no—
1078C2×#95—831no—
1079C2×#95—831no—
1080C25—831no—
1081C25—831no—
1082C25—831no—
1083C22×Q8—831no—
1084C22×D4—3322no—
1085C22×D4—3322no—
1086C22×D4—3322no—
1087C22×D4—3322no—
1088C22×D4—831no—
1089C22×D4—831no—
1090C22×D4—831no—
1091C22×D4—831no—
1092C22×D4—831no—
1093C22×D4—831no—
1094C22×D4—831no—
1095C22×D4—831no—
1096C22×D4—831no—
1097C22×D4—831no—
1098C22×D4—831no—
1099C22×D4—831no—
1100C22×D4—831no—
1101C22×D4—1664no—
1102C22×D4—1664no—
1103C22×D4C22×D8311yescharacteristic
1104C22×D4C22×D8311yescharacteristic
1105C22×D4C22×D8311yescharacteristic
1106C22×D4C22×D8311yescharacteristic
1107C22×D4C22×D8311yescharacteristic
1108C22×D4C22×D8311yescharacteristic
1109C23×C4—3322no—
1110C23×C4—3322no—
1111C23×C4—3322no—
1112C23×C4—831no—
1113C23×C4—831no—
1114C23×C4—831no—
1115C23×C4—831no—
1116C23×C4—831no—
1117C23×C4—831no—
1118C23×C4—831no—
1119C23×C4—831no—
1120C23×C4—831no—
1121C23×C4—831no—
1122C23×C4C22×D8311yescharacteristic
1123C23×C4C22×D8311yescharacteristic
1124C23×C4C22×D8311yescharacteristic
1125#124—3322no—
1126#123—3322no—
1127#123—3322no—
1128C22⋊Q8—3322no—
1129C22⋊Q8—3322no—
1130#121—42no—
1131#121—42no—
1132#121—3322no—
1133#121—3322no—
1134#121—3322no—
1135#121—3322no—
1136#121—3322no—
1137#120—3322no—
1138#120—3322no—
1139#120—3322no—
1140#120—3322no—
1141#120—3322no—
1142#120—3322no—
1143#120—1664no—
1144C4×D4—3322no—
1145C2×C4⋊C4—831no—
1146C2×C4⋊C4—831no—
1147C2×C4⋊C4—831no—
1148C2×C4⋊C4—831no—
1149C2×C4⋊C4—831no—
1150C2×C4⋊C4—831no—
1151C2×C4⋊C4—831no—
1152C2×C4⋊C4—831no—
1153C2×C4⋊C4—831no—
1154C2×C4⋊C4—831no—
1155C2×C4⋊C4—831no—
1156C2×C4⋊C4—831no—
1157C2×C4⋊C4—831no—
1158C2×C4⋊C4C22×D8311yescharacteristic
1159C2×C4⋊C4C22×D8311yescharacteristic
1160C2×C4⋊C4C22×D8311yescharacteristic
1161C2×C22⋊C4—3322no—
1162C2×C22⋊C4—3322no—
1163C2×C22⋊C4—3322no—
1164C2×C22⋊C4—3322no—
1165C2×C22⋊C4—831no—
1166C2×C22⋊C4—831no—
1167C2×C22⋊C4—831no—
1168C2×C22⋊C4—831no—
1169C2×C22⋊C4—831no—
1170C2×C22⋊C4—831no—
1171C2×C22⋊C4—831no—
1172C2×C22⋊C4—831no—
1173C2×C22⋊C4—831no—
1174C2×C22⋊C4—831no—
1175C2×C22⋊C4—831no—
1176C2×C22⋊C4—831no—
1177C2×C22⋊C4—831no—
1178C2×C22⋊C4—831no—
1179C2×C22⋊C4—831no—
1180C2×C22⋊C4—831no—
1181C2×C22⋊C4—831no—
1182C2×C22⋊C4—831no—
1183C2×C22⋊C4—831no—
1184C2×C22⋊C4—831no—
1185C2×C22⋊C4—831no—
1186C2×C22⋊C4—831no—
1187C2×C22⋊C4—831no—
1188C2×C22⋊C4—831no—
1189C2×C22⋊C4—831no—
1190C2×C22⋊C4—831no—
1191C2×C22⋊C4—831no—
1192C2×C22⋊C4—831no—
1193C2×C22⋊C4—831no—
1194C2×C22⋊C4—831no—
1195C2×C22⋊C4—831no—
1196C2×C22⋊C4—831no—
1197C2×C22⋊C4—831no—
1198C2×C22⋊C4—831no—
1199C2×C22⋊C4—831no—
1200C2×C22⋊C4—831no—
1201C2×C22⋊C4—831no—
1202C2×C22⋊C4—831no—
1203C2×C22⋊C4—831no—
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⋊C4C22×D8311yescharacteristic
1213C2×C22⋊C4C22×D8311yescharacteristic
1214C2×C22⋊C4C22×D8311yescharacteristic
1215C2×C22⋊C4C22×D8311yescharacteristic
1216C2×C22⋊C4C22×D8311yescharacteristic
1217C2×C22⋊C4C22×D8311yescharacteristic
1218C2×C22⋊C4C22×D8311yescharacteristic
1219C2×C22⋊C4C22×D8311yescharacteristic
1220C2×C22⋊C4C22×D8311yescharacteristic
1221C2×C22⋊C4C22×D8311yescharacteristic
1222C2×C22⋊C4C22×D8311yescharacteristic
1223C2×C22⋊C4C22×D8311yescharacteristic
1224C2×C22⋊C4C22×D8311yescharacteristic
1225C2×C42—831no—
1226C2×C42—831no—
1227C2×C42—831no—
1228#95—831no—
1229#95—831no—
1230#95—831no—
1231#95—831no—
1232#95—831no—
1233#95—831no—
1234#95—831no—
1235#95—831no—
1236#95—831no—
1237#95—831no—
1238#95—831no—
1239#95—831no—
1240#95—831no—
1241#95—831no—
1242#95—831no—
1243#95—831no—
1244#95—831no—
1245#95—831no—
1246#95—831no—
1247#95—831no—
1248#95—831no—
1249#95—831no—
1250#95—831no—
1251#95—831no—
1252#95—831no—
1253#95—831no—
1254#95—831no—
1255#95—831no—
1256#95—831no—
1257#95—831no—
1258#95C22×D8311yescharacteristic
1259#95C22×D8311yescharacteristic
1260#95C22×D8311yescharacteristic
1261#95C22×D8311yescharacteristic
1262#95C22×D8311yescharacteristic
1263#95C22×D8311yescharacteristic
1264#95C22×D8311yescharacteristic
1265#95C22×D8311yescharacteristic
1266#95C22×D8311yescharacteristic
1267#95C22×D8311yescharacteristic
1268C24—3321no—
1269C24—3321no—
1270C24—3321no—
1271C24—3321no—
1272C24—3321no—
1273C24—3321no—
1274C24—3321no—
1275C24—3321no—
1276C24—3321no—
1277C24—3321no—
1278C24—3321no—
1279C24—3321no—
1280C24—834no—
1281C24—831no—
1282C24—831no—
1283C24—831no—
1284C24—831no—
1285C24—1662no—
1286C24—1662no—
1287C24—1662no—
1288C24—1662no—
1289C24—1662no—
1290C24—1662no—
1291C24—1662no—
1292C24—1662no—
1293C24C23×D8311yescharacteristic
1294C24C23×D8311yescharacteristic
1295C24C23×D8311yescharacteristic
1296C24C23×D8311yescharacteristic
1297C2×Q8—3321no—
1298C2×Q8—3321no—
1299C2×Q8—3321no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—3321no—
1319C2×D4—3321no—
1320C2×D4—3321no—
1321C2×D4—33216no—
1322C2×D4—33216no—
1323C2×D4—3321no—
1324C2×D4—3321no—
1325C2×D4—3321no—
1326C2×D4—3321no—
1327C2×D4—3321no—
1328C2×D4—3321no—
1329C2×D4—3321no—
1330C2×D4—3321no—
1331C2×D4—3321no—
1332C2×D4—3321no—
1333C2×D4—3321no—
1334C2×D4—3321no—
1335C2×D4—3321no—
1336C2×D4—3321no—
1337C2×D4—1662no—
1338C2×D4—1662no—
1339C2×D4—1662no—
1340C2×D4—1662no—
1341C2×D4—1662no—
1342C2×D4—1662no—
1343C2×D4—1662no—
1344C2×D4—1662no—
1345C2×D4—1662no—
1346C2×D4—1662no—
1347C2×D4—1662no—
1348C2×D4—1662no—
1349C2×D4—1662no—
1350C2×D4—1662no—
1351C2×D4—1662no—
1352C2×D4—1662no—
1353C2×D4—1662no—
1354C2×D4—1662no—
1355C2×D4—1662no—
1356C2×D4—1662no—
1357C2×D4—1662no—
1358C2×D4—1662no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—3321no—
1369C22×C4—3321no—
1370C22×C4—3321no—
1371C22×C4—3321no—
1372C22×C4—3321no—
1373C22×C4—3321no—
1374C22×C4—3321no—
1375C22×C4—3321no—
1376C22×C4—3321no—
1377C22×C4—3321no—
1378C22×C4—3321no—
1379C22×C4—3321no—
1380C22×C4—3321no—
1381C22×C4—3321no—
1382C22×C4—33216no—
1383C22×C4—3321no—
1384C22×C4—3321no—
1385C22×C4—3321no—
1386C22×C4—3321no—
1387C22×C4—3321no—
1388C22×C4—831no—
1389C22×C4—831no—
1390C22×C4—831no—
1391C22×C4—831no—
1392C22×C4—831no—
1393C22×C4—831no—
1394C22×C4—831no—
1395C22×C4—831no—
1396C22×C4—831no—
1397C22×C4—831no—
1398C22×C4—831no—
1399C22×C4—831no—
1400C22×C4—1662no—
1401C22×C4—1662no—
1402C22×C4—1662no—
1403C22×C4—1662no—
1404C22×C4—1662no—
1405C22×C4—1662no—
1406C22×C4—1662no—
1407C22×C4—1662no—
1408C22×C4—1662no—
1409C22×C4—1662no—
1410C22×C4—1662no—
1411C22×C4C23×D8311yescharacteristic
1412C22×C4C23×D8311yescharacteristic
1413C22×C4C23×D8311yescharacteristic
1414C22×C4C23×D8311yescharacteristic
1415C22×C4C23×D8311yescharacteristic
1416C22×C4C23×D8311yescharacteristic
1417C22×C4C23×D8311yescharacteristic
1418C22×C4C23×D8311yescharacteristic
1419C22×C4C23×D8311yescharacteristic
1420C22×C4C23×D8311yescharacteristic
1421C22×C4C23×D8311yescharacteristic
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—3321no—
1426C4⋊C4—3321no—
1427C4⋊C4—3321no—
1428C4⋊C4—3321no—
1429C4⋊C4—3321no—
1430C4⋊C4—3321no—
1431C4⋊C4—3321no—
1432C4⋊C4—3321no—
1433C4⋊C4—3321no—
1434C4⋊C4—3321no—
1435C4⋊C4—3321no—
1436C4⋊C4—1662no—
1437C4⋊C4—1662no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—3321no—
1452C22⋊C4—3321no—
1453C22⋊C4—3321no—
1454C22⋊C4—3321no—
1455C22⋊C4—3321no—
1456C22⋊C4—3321no—
1457C22⋊C4—3321no—
1458C22⋊C4—3321no—
1459C22⋊C4—3321no—
1460C22⋊C4—3321no—
1461C22⋊C4—3321no—
1462C22⋊C4—3321no—
1463C22⋊C4—3321no—
1464C22⋊C4—3321no—
1465C22⋊C4—3321no—
1466C22⋊C4—3321no—
1467C22⋊C4—3321no—
1468C22⋊C4—3321no—
1469C22⋊C4—3321no—
1470C22⋊C4—3321no—
1471C22⋊C4—3321no—
1472C22⋊C4—3321no—
1473C22⋊C4—3321no—
1474C22⋊C4—3321no—
1475C22⋊C4—3321no—
1476C22⋊C4—3321no—
1477C22⋊C4—3321no—
1478C22⋊C4—3321no—
1479C22⋊C4—3321no—
1480C22⋊C4—3321no—
1481C22⋊C4—3321no—
1482C22⋊C4—3321no—
1483C22⋊C4—3321no—
1484C22⋊C4—3321no—
1485C22⋊C4—3321no—
1486C22⋊C4—1662no—
1487C22⋊C4—1662no—
1488C22⋊C4—1662no—
1489C22⋊C4—1662no—
1490C22⋊C4—1662no—
1491C22⋊C4—1662no—
1492C22⋊C4—1662no—
1493C22⋊C4—1662no—
1494C22⋊C4—1662no—
1495C22⋊C4—1662no—
1496C22⋊C4—1662no—
1497C22⋊C4—1662no—
1498C42—3321no—
1499C42—3321no—
1500C42—3321no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—3324no—
1528C23—3324no—
1529C23—3324no—
1530C23—3324no—
1531C23—3324no—
1532C23—3324no—
1533C23—3324no—
1534C23—3324no—
1535C23—3324no—
1536C23—832no—
1537C23—832no—
1538C23—832no—
1539C23—832no—
1540C23—832no—
1541C23—6642no—
1542C23—6642no—
1543C23—6642no—
1544C23—6642no—
1545C23—6642no—
1546C23—6642no—
1547C23—6642no—
1548C23—6642no—
1549C23—6642no—
1550C23—6642no—
1551C23—1668no—
1552C23—1668no—
1553C23—1661no—
1554C23—1661no—
1555C23—1661no—
1556C23—1661no—
1557C23—1661no—
1558C23—1661no—
1559C23—1661no—
1560C23—1661no—
1561C23—1661no—
1562C23—1661no—
1563C23—1661no—
1564C23—1661no—
1565C23—1661no—
1566C23—1661no—
1567C23—1661no—
1568C23—1661no—
1569C23—1661no—
1570C23—1661no—
1571C23—1661no—
1572C23—1661no—
1573C23—1661no—
1574C23—1661no—
1575C23—1661no—
1576C23#41×D8312yes—
1577C23#1458183712yes—
1578C23C24×D8311yescharacteristic
1579Q8—6642no—
1580D4—44no—
1581D4—44no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
1586D4—3324no—
1587D4—3324no—
1588D4—3324no—
1589D4—3324no—
1590D4—3324no—
1591D4—3324no—
1592D4—3324no—
1593D4—6642no—
1594D4—6642no—
1595D4—6642no—
1596D4—6642no—
1597D4—6642no—
1598D4—6642no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—44no—
1633C2×C4—82no—
1634C2×C4—82no—
1635C2×C4—3324no—
1636C2×C4—3324no—
1637C2×C4—3324no—
1638C2×C4—3324no—
1639C2×C4—3324no—
1640C2×C4—3324no—
1641C2×C4—3324no—
1642C2×C4—832no—
1643C2×C4—6642no—
1644C2×C4—6642no—
1645C2×C4—6642no—
1646C2×C4—1661no—
1647C2×C4—1661no—
1648C2×C4—1661no—
1649C2×C4—1661no—
1650C2×C4—1661no—
1651C2×C4—1661no—
1652C2×C4—1661no—
1653C2×C4—1661no—
1654C2×C4—1661no—
1655C2×C4—1661no—
1656C2×C4—1661no—
1657C2×C4—1661no—
1658C2×C4—1661no—
1659C2×C4—1661no—
1660C2×C4—1661no—
1661C2×C4—1661no—
1662C2×C4—1661no—
1663C2×C4—1661no—
1664C2×C4—1661no—
1665C2×C4—1661no—
1666C2×C4—1661no—
1667C2×C4—1661no—
1668C2×C4—1661no—
1669C2×C4—1661no—
1670C2×C4—1661no—
1671C2×C4—1661no—
1672C2×C4—1661no—
1673C2×C4—1661no—
1674C2×C4—1661no—
1675C2×C4—1661no—
1676C2×C4—1661no—
1677C2×C4—1661no—
1678C2×C4—1661no—
1679C2×C4—1661no—
1680C2×C4—1661no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—33216no—
1710C22—3321no—
1711C22—3321no—
1712C22—3321no—
1713C22—3321no—
1714C22—3321no—
1715C22—3321no—
1716C22—3321no—
1717C22—3321no—
1718C22—3321no—
1719C22—3321no—
1720C22—3321no—
1721C22—3321no—
1722C22—3321no—
1723C22—3321no—
1724C22—3321no—
1725C22—834no—
1726C22—6648no—
1727C22—6648no—
1728C22—1662no—
1729C22—1662no—
1730C22—1662no—
1731C22—1662no—
1732C22—1662no—
1733C22—1662no—
1734C22—1662no—
1735C22—1662no—
1736C22—1662no—
1737C22—1662no—
1738C22—1662no—
1739C22—1662no—
1740C22C2×#41×D8311yescharacteristic
1741C22H(5,𝔽2)×D8311yescharacteristic
1742C22H(5,𝔽2)×D8311yescharacteristic
1743C22H(5,𝔽2)×D8311yescharacteristic
1744C22H(5,𝔽2)×D8311yescharacteristic
1745C22C2×#1458183711yescharacteristic
1746C22#1912853711yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—3321no—
1759C4—3321no—
1760C4—3321no—
1761C4—3321no—
1762C4—3321no—
1763C4—3321no—
1764C4—3321no—
1765C4—3321no—
1766C4—3321no—
1767C4—3321no—
1768C4—3321no—
1769C4—1662no—
1770C2—42no—
1771C2—42no—
1772C2—81no—
1773C2—81no—
1774C2—3322no—
1775C2—3322no—
1776C2—6641no—
1777C2—1664no—
1778C2#538×D8311yescharacteristic
1779C2#2492114511yescharacteristic
1780C2#2492129611yescharacteristic
1781C2#2492161611yescharacteristic
1782C2#2492164611yescharacteristic
1783C2#2492164811yescharacteristic
1784C2#2492170011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2688C2
hypercenter#2688D83
hypocenterC83#36776
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2688

Complements

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

NH ≅ G/Ntype
1. #24915754C2semidirect
2. #24915744C2semidirect
3. #24915082C2semidirect
4. #24915074C2semidirect
5. #24914840C2semidirect
6. #24914694C2semidirect
7. #24914689C2semidirect
8. #24914687C2semidirect
9. #24914595C2semidirect
10. #24914099C2semidirect
11. #24914028C2semidirect
12. #24914014C2semidirect
13. #24913896C2semidirect
14. #24913840C2semidirect
15. #24913794C2semidirect
16. #24913764C2semidirect
17. #24913666C2semidirect
18. #24913417C2semidirect
19. #24913394C2semidirect
20. #24912026C2semidirect
21. #24911582C2semidirect
22. #24911212C2semidirect
23. #24911128C2semidirect
24. #24910996C2semidirect
25. #24910834C2semidirect
26. #24910830C2semidirect
27. #24910772C2semidirect
28. #24910119C2semidirect
29. #24910037C2semidirect
30. #386×D83C2semidirect
31. C83×#2688C2semidirect
34. C23×C4×D83C22semidirect
35. C2×#14581778C22semidirect
36. C2×#14581774C22semidirect
37. C2×#14581774C22semidirect
38. C2×#14581771C22semidirect
39. C2×#14581770C22semidirect
41. C2×#14581765C22semidirect
42. C2×#14581764C22semidirect
43. C2×#14581764C22semidirect
50. C2×#14581760C22semidirect
51. C2×#14581760C22semidirect
52. C2×C4×C22⋊D83C22semidirect
56. C2×C22⋊C4×D83C22semidirect
57. C83⋊#401C22semidirect
58. C83⋊#401C22semidirect
59. #19127642C22semidirect
60. #19127642C22semidirect
61. #19127642C22semidirect
62. #19127641C22semidirect
63. #19127641C22semidirect
64. #19127640C22semidirect
65. #19127636C22semidirect
66. #19127630C22semidirect
67. #19127630C22semidirect
68. #19127630C22semidirect
69. #19127629C22semidirect
70. #19127629C22semidirect
71. #19127629C22semidirect
72. #19127629C22semidirect
73. #19127627C22semidirect
74. #19127625C22semidirect
75. #19127623C22semidirect
76. #19127623C22semidirect
77. #19127623C22semidirect
78. #19127619C22semidirect
80. #19127617C22semidirect
81. #19127617C22semidirect
83. #19127616C22semidirect
84. #19127615C22semidirect
85. #19127615C22semidirect
86. #19127615C22semidirect
87. #19127615C22semidirect
88. #19127614C22semidirect
89. #19127614C22semidirect
90. #19127613C22semidirect
91. #19127613C22semidirect
97. #19127609C22semidirect
98. #19127609C22semidirect
99. #19127604C22semidirect
100. #19127602C22semidirect
101. #19127601C22semidirect
102. #19127601C22semidirect
103. #19127595C22semidirect
104. #19127595C22semidirect
105. #19127595C22semidirect
106. #19127594C22semidirect
107. #19127593C22semidirect
108. #19127590C22semidirect
109. #19127590C22semidirect
110. #19127590C22semidirect
111. #19127589C22semidirect
112. #19127589C22semidirect
113. #19127584C22semidirect
114. #19127582C22semidirect
115. #19127581C22semidirect
116. #19127581C22semidirect
117. #19127581C22semidirect
118. #19127581C22semidirect
120. #19127580C22semidirect
121. #19127580C22semidirect
122. #19127580C22semidirect
123. #19127580C22semidirect
124. #19127580C22semidirect
125. #19127580C22semidirect
133. #19127579C22semidirect
135. #19127578C22semidirect
141. #19127577C22semidirect
142. #19127577C22semidirect
143. #19127577C22semidirect
144. #19127577C22semidirect
145. #19127577C22semidirect
146. #19127577C22semidirect
147. #19127576C22semidirect
148. #19127575C22semidirect
149. #19127575C22semidirect
150. #19127575C22semidirect
151. #19127574C22semidirect
152. #19127573C22semidirect
153. #19127572C22semidirect
154. #19127572C22semidirect
155. #19127568C22semidirect
156. #19127563C22semidirect
157. #19127563C22semidirect
158. #19127563C22semidirect
159. #19127563C22semidirect
160. #19127560C22semidirect
161. #19127560C22semidirect
162. #19127559C22semidirect
163. #19127559C22semidirect
165. #19127556C22semidirect
166. #19127556C22semidirect
167. #19127556C22semidirect
168. #19127556C22semidirect
169. #19127548C22semidirect
170. #95×D83C22semidirect
171. #95×D83C22semidirect
172. C2×#121×C83C22semidirect
173. C2×#121×C83C22semidirect
174. #400×C83C22semidirect
175. #397×C83C22semidirect
176. #397×C83C22semidirect
177. #394×C83C22semidirect
179. #392×C83C22semidirect
180. #386×C83C22semidirect
181. #386×C83C22semidirect
182. #386×C83C22semidirect
183. #386×C83C22semidirect
184. #386×C83C22semidirect
185. #385×C83C22semidirect
186. #381×C83C22semidirect
906. #2688D83semidirect
924. C83#36776semidirect
938. C2×#121C2×D83semidirect
939. C2×#121C2×D83semidirect
960. #400C2×D83semidirect
970. #397C2×D83semidirect
971. #397C2×D83semidirect
986. #394C2×D83semidirect
999. #392C2×D83semidirect
1048. #386C2×D83semidirect
1049. #386C2×D83semidirect
1050. #386C2×D83semidirect
1051. #386C2×D83semidirect
1052. #386C2×D83semidirect
1061. #385C2×D83semidirect
1067. #381C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157542
#249157442
#249150822
#249150742
#249148402
#249146942
#249146892
#249146872
#249145952
#249140992
#249140282
#249140142
#249138962
#249138402
#249137942
#249137642
#249136662
#249134172
#249133942
#249120262
#249115822
#249112122
#249111282
#249109962
#249108342
#249108302
#249107722
#249101192
#249100372
#386×D832
C83×#26882
#3677683