Finite Group Databasebeta

← #35577875

Subgroups — #35577875

Order 21248.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24915777C211yesmaximal, characteristic, complemented
2#24915777C211yesmaximal, characteristic, complemented
3#24915749C211yesmaximal, characteristic, complemented
4#24915742C211yesmaximal, characteristic
5#24913432C211yesmaximal, characteristic, complemented
6#24913394C211yesmaximal, characteristic, complemented
7#24913235C211yesmaximal, characteristic, complemented
8#24913235C211yesmaximal, characteristic, complemented
9#24912798C211yesmaximal, characteristic, complemented
10#24912794C211yesmaximal, characteristic, complemented
11#24912789C211yesmaximal, characteristic, complemented
12#24912785C211yesmaximal, characteristic, complemented
13#24912612C211yesmaximal, characteristic, complemented
14#24912600C211yesmaximal, characteristic, complemented
15#24912591C211yesmaximal, characteristic, complemented
16#24912587C211yesmaximal, characteristic, complemented
17#24912312C211yesmaximal, characteristic, complemented
18#24912308C211yesmaximal, characteristic, complemented
19#24912299C211yesmaximal, characteristic, complemented
20#24912295C211yesmaximal, characteristic, complemented
21#24911670C211yesmaximal, characteristic, complemented
22#24911658C211yesmaximal, characteristic, complemented
23#24911645C211yesmaximal, characteristic, complemented
24#24910190C211yesmaximal, characteristic, complemented
25#24910165C211yesmaximal, characteristic, complemented
26#24910122C211yesmaximal, characteristic, complemented
27#24910119C211yesmaximal, characteristic, complemented
28#24909905C211yesmaximal, characteristic, complemented
29#24909900C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D83C211yesmaximal, characteristic, complemented
31C83×#2476C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33C2×#14581785C2211yescharacteristic, complemented
34C2×#14581785C2211yescharacteristic, complemented
35C2×#14581770C2211yescharacteristic
36C2×#14581770C2211yescharacteristic
37C2×#14581769C2211yescharacteristic
38C2×#14581763C2211yescharacteristic
39C2×#14581763C2211yescharacteristic
40C2×#14581760C2211yescharacteristic
41C2×#14581760C2211yescharacteristic
42C2×C4×C22⋊D83C2211yescharacteristic
43C2×(C22⋊D83)⋊C4C2211yescharacteristic
44C2×#14581748C2211yescharacteristic, complemented
45C2×C22⋊C4×D83C2211yescharacteristic
46C2×C22⋊C4×D83C2211yescharacteristic
47C2×C42×D83C2211yescharacteristic
48C2×C42×D83C2211yescharacteristic
49#19127643C2211yescharacteristic, complemented
50#19127643C2211yescharacteristic, complemented
51#19127642C2211yescharacteristic, complemented
52#19127641C2211yescharacteristic, complemented
53#19127640C2211yescharacteristic, complemented
54#19127639C2211yescharacteristic, complemented
55#19127634C2211yescharacteristic, complemented
56#19127632C2211yescharacteristic, complemented
57#19127631C2211yescharacteristic, complemented
58#19127630C2211yescharacteristic
59#19127630C2211yescharacteristic
60#19127629C2211yescharacteristic
61#19127629C2211yescharacteristic
62#19127629C2211yescharacteristic, complemented
63#19127629C2211yescharacteristic, complemented
64#19127627C2211yescharacteristic
65#19127627C2211yescharacteristic
66#19127626C2211yescharacteristic
67#19127626C2211yescharacteristic
68#19127617C2211yescharacteristic
69#19127617C2211yescharacteristic
70#19127616C2211yescharacteristic
71#19127616C2211yescharacteristic
72#19127615C2211yescharacteristic
73#19127615C2211yescharacteristic
74#19127615C2211yescharacteristic, complemented
75#19127613C2211yescharacteristic, complemented
76#19127613C2211yescharacteristic, complemented
77#19127607C2211yescharacteristic, complemented
78#19127605C2211yescharacteristic, complemented
79#19127604C2211yescharacteristic
80#19127601C2211yescharacteristic
81#19127601C2211yescharacteristic
82#19127600C2211yescharacteristic, complemented
83#19127598C2211yescharacteristic, complemented
84#19127595C2211yescharacteristic
85#19127595C2211yescharacteristic
86#19127595C2211yescharacteristic, complemented
87#19127595C2211yescharacteristic, complemented
88#19127595C2211yescharacteristic, complemented
89#19127594C2211yescharacteristic, complemented
90#19127594C2211yescharacteristic, complemented
91#19127594C2211yescharacteristic, complemented
92#19127593C2211yescharacteristic
93#19127592C2211yescharacteristic
94#19127591C2211yescharacteristic
95#19127590C2211yescharacteristic
96#19127589C2211yescharacteristic
97#19127589C2211yescharacteristic
98#19127589C2211yescharacteristic, complemented
99#19127589C2211yescharacteristic, complemented
100#19127589C2211yescharacteristic, complemented
101#19127588C2211yescharacteristic, complemented
102#19127587C2211yescharacteristic, complemented
103#19127587C2211yescharacteristic, complemented
104#19127586C2211yescharacteristic, complemented
105#19127585C2211yescharacteristic, complemented
106#19127585C2211yescharacteristic, complemented
107#19127585C2211yescharacteristic, complemented
108#19127584C2211yescharacteristic, complemented
109#19127584C2211yescharacteristic, complemented
110#19127584C2211yescharacteristic, complemented
111#19127583C2211yescharacteristic, complemented
112#19127583C2211yescharacteristic, complemented
113#19127582C2211yescharacteristic, complemented
114#19127582C2211yescharacteristic, complemented
115#19127582C2211yescharacteristic, complemented
116#19127581C2211yescharacteristic
117#19127581C2211yescharacteristic
118#19127581C2211yescharacteristic
119#19127581C2211yescharacteristic, complemented
120#19127580C2211yescharacteristic
121#19127578C2211yescharacteristic
122#19127577C2211yescharacteristic
123#19127577C2211yescharacteristic
124#19127577C2211yescharacteristic
125#19127577C2211yescharacteristic
126#19127577C2211yescharacteristic
127#19127577C2211yescharacteristic
128#19127577C2211yescharacteristic
129#19127577C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127577C2211yescharacteristic
132#19127575C2211yescharacteristic
133#19127575C2211yescharacteristic
134#19127575C2211yescharacteristic
135#19127575C2211yescharacteristic
136#19127575C2211yescharacteristic
137#19127574C2211yescharacteristic
138#19127574C2211yescharacteristic, complemented
139#19127573C2211yescharacteristic, complemented
140#19127572C2211yescharacteristic
141#19127572C2211yescharacteristic
142#19127572C2211yescharacteristic
143#19127572C2211yescharacteristic
144#19127572C2211yescharacteristic
145#19127568C2211yescharacteristic, complemented
146#19127568C2211yescharacteristic, complemented
147#19127561C2211yescharacteristic
148#19127560C2211yescharacteristic
149#19127560C2211yescharacteristic
150#19127559C2211yescharacteristic
151#19127558C2211yescharacteristic
152#19127558C2211yescharacteristic
153#19127556C2211yescharacteristic
154#19127556C2211yescharacteristic
155C4⋊C4×Dic83C2211yescharacteristic, complemented
156C4×Dic83⋊C4C2211yescharacteristic, complemented
157C22⋊C4×Dic83C2211yescharacteristic
158C22⋊C4×Dic83C2211yescharacteristic
159C22⋊C4×Dic83C2211yescharacteristic, complemented
160C4×(C2×D83)⋊C4C2211yescharacteristic
161C4×(C2×D83)⋊C4C2211yescharacteristic
162C4×(C2×D83)⋊C4C2211yescharacteristic
163C4×C22⋊Dic83C2211yescharacteristic
164C4×C22⋊Dic83C2211yescharacteristic, complemented
165#19127548C2211yescharacteristic
166#19127548C2211yescharacteristic
167#19127548C2211yescharacteristic
168#19127547C2211yescharacteristic, complemented
169#19127546C2211yescharacteristic, complemented
170#95×D83C2211yescharacteristic
171#95×D83C2211yescharacteristic
172C2×#121×C83C2211yescharacteristic
173C2×#117×C83C2211yescharacteristic, complemented
174#398×C83C2211yescharacteristic, complemented
175#394×C83C2211yescharacteristic
176#394×C83C2211yescharacteristic
177#394×C83C2211yescharacteristic, complemented
178#390×C83C2211yescharacteristic
179#388×C83C2211yescharacteristic, complemented
180#388×C83C2211yescharacteristic, complemented
181#388×C83C2211yescharacteristic, complemented
182#387×C83C2211yescharacteristic, complemented
183#386×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic, complemented
185#385×C83C2211yescharacteristic
186C4×C22⋊C4×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C22×Dic166C2311yescharacteristic
189C22×C22⋊D83C2311yescharacteristic
190C22×C22⋊D83C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C23×Dic83C2311yescharacteristic
194C23×Dic83C2311yescharacteristic
195C22×C4×D83—24no—
196C22×C4×D83—42no—
197C22×C4×D83—42no—
198C22×C4×D83C2311yescharacteristic
199C22×C4×D83C2311yescharacteristic
200C22×C4×D83C2311yescharacteristic
201C22×C4×D83C2311yescharacteristic
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206#14581785—42no—
207#14581785—42no—
208#14581770—24no—
209#14581770—42no—
210#14581769—42no—
211#14581763—24no—
212#14581763—42no—
213#14581760—24no—
214#14581760—24no—
215C4×C22⋊D83—24no—
216(C22⋊D83)⋊C4—24no—
217#14581748—42no—
218C2×C4⋊Dic83C2311yescharacteristic
219C2×C4⋊Dic83C2311yescharacteristic
220C2×C4⋊Dic83C2311yescharacteristic
221C2×C4⋊Dic83C2311yescharacteristic
222C2×C4⋊Dic83C2311yescharacteristic
223C2×C4⋊Dic83C2311yescharacteristic
224C2×Dic83⋊C4C2311yescharacteristic
225C2×Dic83⋊C4C2311yescharacteristic
226C2×Dic83⋊C4C2311yescharacteristic
227C2×Dic83⋊C4C2311yescharacteristic
228C2×Dic83⋊C4C2311yescharacteristic
229C2×Dic83⋊C4C2311yescharacteristic
230C2×Dic83⋊C4C2311yescharacteristic
231C2×Dic83⋊C4C2311yescharacteristic
232C2×Dic83⋊C4C2311yescharacteristic
233C2×Dic83⋊C4C2311yescharacteristic
234C2×Dic83⋊C4C2311yescharacteristic
235C2×Dic83⋊C4C2311yescharacteristic
236C2×Dic83⋊C4C2311yescharacteristic
237C2×Dic83⋊C4C2311yescharacteristic
238C2×C22⋊Dic83C2311yescharacteristic
239C2×C22⋊Dic83C2311yescharacteristic
240C2×C22⋊Dic83C2311yescharacteristic
241C2×C22⋊Dic83C2311yescharacteristic
242C2×C22⋊Dic83C2311yescharacteristic
243C2×C22⋊Dic83C2311yescharacteristic
244C2×C22⋊Dic83C2311yescharacteristic
245C2×C22⋊Dic83C2311yescharacteristic
246C2×C22⋊Dic83C2311yescharacteristic
247C2×C22⋊Dic83C2311yescharacteristic
248C2×C22⋊Dic83C2311yescharacteristic
249C2×C22⋊Dic83C2311yescharacteristic
250C2×C22⋊Dic83C2311yescharacteristic
251C2×C22⋊Dic83C2311yescharacteristic
252C2×C22⋊Dic83C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×(C2×D83)⋊C4C2311yescharacteristic
256C2×(C2×D83)⋊C4C2311yescharacteristic
257C2×(C2×D83)⋊C4C2311yescharacteristic
258C2×(C2×D83)⋊C4C2311yescharacteristic
259C2×(C2×D83)⋊C4C2311yescharacteristic
260C2×(C2×D83)⋊C4C2311yescharacteristic
261C2×(C2×D83)⋊C4C2311yescharacteristic
262C2×(C2×D83)⋊C4C2311yescharacteristic
263C2×(C2×D83)⋊C4C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C22⋊C4×D83—24no—
272C22⋊C4×D83—24no—
273C2×C4×Dic83C2311yescharacteristic
274C2×C4×Dic83C2311yescharacteristic
275C2×C4×Dic83C2311yescharacteristic
276C2×C4×Dic83C2311yescharacteristic
277C2×C4×Dic83C2311yescharacteristic
278C2×C4×Dic83C2311yescharacteristic
279C2×C4×Dic83C2311yescharacteristic
280C2×C4×Dic83C2311yescharacteristic
281C2×C4×Dic83C2311yescharacteristic
282C2×C4×Dic83C2311yescharacteristic
283C2×C4×Dic83C2311yescharacteristic
284C42×D83—42no—
285C42×D83—42no—
286C83⋊#95C2311yescharacteristic
287C83⋊#95C2311yescharacteristic
288C83⋊#95C2311yescharacteristic
289C83⋊#95C2311yescharacteristic
290C83⋊#95C2311yescharacteristic
291C83⋊#95C2311yescharacteristic
292C83⋊#95C2311yescharacteristic
293C83⋊#95C2311yescharacteristic
294C83⋊#95C2311yescharacteristic
295C83⋊#95C2311yescharacteristic
296C83⋊#95C2311yescharacteristic
297C83⋊#95C2311yescharacteristic
298C83⋊#95C2311yescharacteristic
299C83⋊#95C2311yescharacteristic
300C83⋊#95C2311yescharacteristic
301C83⋊#95C2311yescharacteristic
302C83⋊#95C2311yescharacteristic
303C83⋊#95C2311yescharacteristic
304C83⋊#95C2311yescharacteristic
305C83⋊#95C2311yescharacteristic
306C83⋊#95C2311yescharacteristic
307C83⋊#95C2311yescharacteristic
308C83⋊#95C2311yescharacteristic
309C83⋊#95C2311yescharacteristic
310C83⋊#95C2311yescharacteristic
311C83⋊#95C2311yescharacteristic
312C83⋊#95C2311yescharacteristic
313C83⋊#95C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C22×D4×C83C2311yescharacteristic
327C22×D4×C83C2311yescharacteristic
328C22×D4×C83C2311yescharacteristic
329C23×C4×C83C2311yescharacteristic
330C23×C4×C83C2311yescharacteristic
331#121×C83—42no—
332#117×C83—42no—
333C2×C4⋊C4×C83C2311yescharacteristic
334C2×C4⋊C4×C83C2311yescharacteristic
335C2×C4⋊C4×C83C2311yescharacteristic
336C2×C4⋊C4×C83C2311yescharacteristic
337C2×C4⋊C4×C83C2311yescharacteristic
338C2×C4⋊C4×C83C2311yescharacteristic
339C2×C22⋊C4×C83C2311yescharacteristic
340C2×C22⋊C4×C83C2311yescharacteristic
341C2×C22⋊C4×C83C2311yescharacteristic
342C2×C22⋊C4×C83C2311yescharacteristic
343C2×C22⋊C4×C83C2311yescharacteristic
344C2×C22⋊C4×C83C2311yescharacteristic
345C2×C22⋊C4×C83C2311yescharacteristic
346C2×C22⋊C4×C83C2311yescharacteristic
347C2×C22⋊C4×C83C2311yescharacteristic
348C2×C22⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C42×C83C2311yescharacteristic
353C2×C42×C83C2311yescharacteristic
354C2×C42×C83C2311yescharacteristic
355#95×C83C2311yescharacteristic
356#95×C83C2311yescharacteristic
357#95×C83C2311yescharacteristic
358#95×C83C2311yescharacteristic
359#95×C83C2311yescharacteristic
360#95×C83C2311yescharacteristic
361#95×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363C23×D83—22no—
364C23×D83—22no—
365C23×D83—41no—
366C23×D83—41no—
367C23×D83—41no—
368C23×D83—41no—
369C23×D83#4114yes—
370C23×D83C2411yescharacteristic
371C23×D83C2411yescharacteristic
372C2×Dic166—22no—
373C2×Dic166—41no—
374C2×Dic166—41no—
375C2×C22⋊D83—22no—
376C2×C22⋊D83—22no—
377C2×C22⋊D83—22no—
378C2×C22⋊D83—22no—
379C2×C22⋊D83—22no—
380C2×C22⋊D83—22no—
381C2×C22⋊D83—22no—
382C2×C22⋊D83—22no—
383C2×C22⋊D83—41no—
384C2×C22⋊D83—41no—
385C2×C22⋊D83—41no—
386C2×C22⋊D83—41no—
387C22×Dic83—22no—
388C22×Dic83—22no—
389C22×Dic83—22no—
390C22×Dic83—41no—
391C22×Dic83—41no—
392C22×Dic83—41no—
393C22×Dic83C2411yescharacteristic
394C22×Dic83C2411yescharacteristic
395C22×Dic83C2411yescharacteristic
396C22×Dic83C2411yescharacteristic
397C22×Dic83C2411yescharacteristic
398C22×Dic83C2411yescharacteristic
399C22×Dic83C2411yescharacteristic
400C22×Dic83C2411yescharacteristic
401C22×Dic83C2411yescharacteristic
402C22×Dic83C2411yescharacteristic
403C22×Dic83C2411yescharacteristic
404C22×Dic83C2411yescharacteristic
405C22×Dic83C2411yescharacteristic
406C22×Dic83C2411yescharacteristic
407C2×C4×D83—22no—
408C2×C4×D83—22no—
409C2×C4×D83—22no—
410C2×C4×D83—22no—
411C2×C4×D83—22no—
412C2×C4×D83—22no—
413C2×C4×D83—22no—
414C2×C4×D83—22no—
415C2×C4×D83—22no—
416C2×C4×D83—22no—
417C2×C4×D83—416no—
418C2×C4×D83—41no—
419C2×C4×D83—41no—
420C2×C4×D83—41no—
421C2×C4×D83—41no—
422C2×C4×D83—41no—
423C2×C4×D83—41no—
424C2×C4×D83—41no—
425C2×C4×D83—41no—
426C2×C4×D83—41no—
427C2×C4×D83—41no—
428C2×C4×D83—41no—
429C2×C4×D83—41no—
430C2×C4×D83#4114yes—
431C2×C4×D83#4114yes—
432C4⋊Dic83—22no—
433C4⋊Dic83—22no—
434C4⋊Dic83—41no—
435C4⋊Dic83—41no—
436C4⋊Dic83—41no—
437C4⋊Dic83—41no—
438Dic83⋊C4—22no—
439Dic83⋊C4—22no—
440Dic83⋊C4—22no—
441Dic83⋊C4—22no—
442Dic83⋊C4—22no—
443Dic83⋊C4—22no—
444Dic83⋊C4—41no—
445Dic83⋊C4—41no—
446Dic83⋊C4—41no—
447Dic83⋊C4—41no—
448Dic83⋊C4—41no—
449Dic83⋊C4—41no—
450Dic83⋊C4—41no—
451Dic83⋊C4—41no—
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—
469(C2×D83)⋊C4—22no—
470(C2×D83)⋊C4—22no—
471(C2×D83)⋊C4—22no—
472(C2×D83)⋊C4—22no—
473(C2×D83)⋊C4—22no—
474(C2×D83)⋊C4—22no—
475(C2×D83)⋊C4—22no—
476(C2×D83)⋊C4—22no—
477(C2×D83)⋊C4—22no—
478(C2×D83)⋊C4—22no—
479(C2×D83)⋊C4—22no—
480(C2×D83)⋊C4—22no—
481(C2×D83)⋊C4—41no—
482(C2×D83)⋊C4—41no—
483(C2×D83)⋊C4—41no—
484(C2×D83)⋊C4—41no—
485C4×Dic83—22no—
486C4×Dic83—22no—
487C4×Dic83—22no—
488C4×Dic83—22no—
489C4×Dic83—22no—
490C4×Dic83—41no—
491C4×Dic83—41no—
492C4×Dic83—41no—
493C4×Dic83—41no—
494C4×Dic83—41no—
495C4×Dic83—41no—
496C24×C83C2411yescharacteristic
497C24×C83C2411yescharacteristic
498C24×C83C2411yescharacteristic
499C2×D4×C83—22no—
500C2×D4×C83—22no—
501C2×D4×C83—22no—
502C2×D4×C83—41no—
503C2×D4×C83—41no—
504C2×D4×C83—41no—
505C2×D4×C83—41no—
506C2×D4×C83—41no—
507C2×D4×C83—41no—
508C22×C4×C83—22no—
509C22×C4×C83—22no—
510C22×C4×C83—22no—
511C22×C4×C83—41no—
512C22×C4×C83—41no—
513C22×C4×C83—41no—
514C22×C4×C83C2411yescharacteristic
515C22×C4×C83C2411yescharacteristic
516C22×C4×C83C2411yescharacteristic
517C22×C4×C83C2411yescharacteristic
518C22×C4×C83C2411yescharacteristic
519C22×C4×C83C2411yescharacteristic
520C22×C4×C83C2411yescharacteristic
521C22×C4×C83C2411yescharacteristic
522C22×C4×C83C2411yescharacteristic
523C22×C4×C83C2411yescharacteristic
524C22×C4×C83C2411yescharacteristic
525C22×C4×C83C2411yescharacteristic
526C4⋊C4×C83—22no—
527C4⋊C4×C83—22no—
528C4⋊C4×C83—41no—
529C4⋊C4×C83—41no—
530C4⋊C4×C83—41no—
531C4⋊C4×C83—41no—
532C22⋊C4×C83—22no—
533C22⋊C4×C83—22no—
534C22⋊C4×C83—22no—
535C22⋊C4×C83—22no—
536C22⋊C4×C83—22no—
537C22⋊C4×C83—41no—
538C22⋊C4×C83—41no—
539C22⋊C4×C83—41no—
540C22⋊C4×C83—41no—
541C22⋊C4×C83—41no—
542C22⋊C4×C83—41no—
543C22⋊C4×C83—41no—
544C22⋊C4×C83—41no—
545C42×C83—22no—
546C42×C83—41no—
547C42×C83—41no—
548C23×C83—21no—
549C23×C83—21no—
550C23×C83—21no—
551C23×C83—21no—
552C23×C83—21no—
553C23×C83—21no—
554C23×C83—21no—
555C23×C83—21no—
556C23×C83—21no—
557C23×C83—21no—
558C23×C83—21no—
559C23×C83—21no—
560C23×C83—21no—
561C23×C83—21no—
562C23×C83—21no—
563C23×C83—21no—
564C23×C83—21no—
565C23×C83—21no—
566C23×C83—21no—
567C23×C83—21no—
568C23×C83C2×#4112yes—
569C23×C83C2511yescharacteristic
570C22×D83—21no—
571C22×D83—21no—
572C22×D83—21no—
573C22×D83—21no—
574C22×D83—21no—
575C22×D83—21no—
576C22×D83—21no—
577C22×D83—21no—
578C22×D83—21no—
579C22×D83—21no—
580C22×D83—28no—
581C22×D83—44no—
582C22×D83—44no—
583C22×D83—44no—
584C22×D83—44no—
585C22×D83—44no—
586C22×D83—44no—
587C22×D83C2×#4112yes—
588C22×D83C2×#4112yes—
589C22×D83C2×#4112yes—
590C22×D83C2×#4112yes—
591D4×C83—82no—
592D4×C83—82no—
593D4×C83—82no—
594C2×C4×C83—21no—
595C2×C4×C83—21no—
596C2×C4×C83—21no—
597C2×C4×C83—21no—
598C2×C4×C83—21no—
599C2×C4×C83—21no—
600C2×C4×C83—21no—
601C2×C4×C83—21no—
602C2×C4×C83—21no—
603C2×C4×C83—21no—
604C2×C4×C83—21no—
605C2×C4×C83—21no—
606C2×C4×C83—21no—
607C2×C4×C83—21no—
608C2×C4×C83—21no—
609C2×C4×C83—21no—
610C2×C4×C83—21no—
611C2×C4×C83—21no—
612C2×C4×C83—21no—
613C2×C4×C83—21no—
614C2×C4×C83—21no—
615C2×C4×C83—21no—
616C2×C4×C83—21no—
617C2×C4×C83—21no—
618C2×C4×C83—21no—
619C2×C4×C83—21no—
620C2×C4×C83—21no—
621C2×C4×C83—21no—
622C2×C4×C83—21no—
623C2×C4×C83—21no—
624C2×C4×C83—21no—
625C2×C4×C83—21no—
626C2×C4×C83—21no—
627C2×C4×C83—44no—
628C2×C4×C83—44no—
629C2×C4×C83C2×#4112yes—
630C2×C4×C83C2×#4112yes—
631C2×C4×C83H(5,𝔽2)12yes—
632C22⋊D83—44no—
633C22⋊D83—44no—
634C22⋊D83—82no—
635C22⋊D83—82no—
636C2×Dic83—21no—
637C2×Dic83—21no—
638C2×Dic83—21no—
639C2×Dic83—21no—
640C2×Dic83—21no—
641C2×Dic83—21no—
642C2×Dic83—21no—
643C2×Dic83—21no—
644C2×Dic83—21no—
645C2×Dic83—21no—
646C2×Dic83—21no—
647C2×Dic83—21no—
648C2×Dic83—21no—
649C2×Dic83—21no—
650C2×Dic83—21no—
651C2×Dic83—21no—
652C2×Dic83—21no—
653C2×Dic83—21no—
654C2×Dic83—21no—
655C2×Dic83—21no—
656C2×Dic83—21no—
657C2×Dic83—21no—
658C2×Dic83—21no—
659C2×Dic83—21no—
660C2×Dic83—21no—
661C2×Dic83—21no—
662C2×Dic83—21no—
663C2×Dic83—21no—
664C2×Dic83—21no—
665C2×Dic83—21no—
666C2×Dic83—21no—
667C2×Dic83—21no—
668C2×Dic83—21no—
669C2×Dic83—21no—
670C2×Dic83—21no—
671C2×Dic83—21no—
672C2×Dic83—21no—
673C2×Dic83—21no—
674C2×Dic83—21no—
675C2×Dic83—44no—
676C2×Dic83—44no—
677C2×Dic83C2×#4112yes—
678C2×Dic83C2×#4112yes—
679C2×Dic83H(5,𝔽2)12yes—
680C4×D83—28no—
681C4×D83—44no—
682C4×D83—44no—
683C4×D83—44no—
684C4×D83—44no—
685C4×D83—44no—
686C4×D83—44no—
687C4×D83—44no—
688Dic166—82no—
689C22×C83—22no—
690C22×C83—22no—
691C22×C83—22no—
692C22×C83—41no—
693C22×C83—41no—
694C22×C83—41no—
695C22×C83—41no—
696C22×C83—41no—
697C22×C83—41no—
698C22×C83—41no—
699C22×C83—41no—
700C22×C83—41no—
701C22×C83—41no—
702C22×C83—41no—
703C22×C83—41no—
704C22×C83—41no—
705C22×C83—41no—
706C22×C83—41no—
707C22×C83—41no—
708C22×C83—41no—
709C22×C83—41no—
710C22×C83C22×#4111yescharacteristic
711C22×C83C22×#4111yescharacteristic
712C22×C83C22×#4111yescharacteristic
713C22×C83C2×H(5,𝔽2)11yescharacteristic
714C22×C83C2×H(5,𝔽2)11yescharacteristic
715C22×C83#58511yescharacteristic
716C22×C83#58511yescharacteristic
717C2×D83—22no—
718C2×D83—22no—
719C2×D83—22no—
720C2×D83—22no—
721C2×D83—22no—
722C2×D83—22no—
723C2×D83—22no—
724C2×D83—22no—
725C2×D83—22no—
726C2×D83—416no—
727C2×D83—41no—
728C2×D83—41no—
729C2×D83—41no—
730C2×D83—41no—
731C2×D83#52914yes—
732C4×C83—22no—
733C4×C83—22no—
734C4×C83—22no—
735C4×C83—41no—
736C4×C83—41no—
737C4×C83—41no—
738C4×C83—41no—
739C4×C83—41no—
740C4×C83—41no—
741C4×C83—41no—
742C4×C83—41no—
743C4×C83—41no—
744Dic83—22no—
745Dic83—22no—
746Dic83—22no—
747Dic83—41no—
748Dic83—41no—
749Dic83—41no—
750Dic83—41no—
751Dic83—41no—
752Dic83—41no—
753Dic83—41no—
754Dic83—41no—
755Dic83—41no—
756Dic83—41no—
757Dic83—41no—
758#35034—831nomaximal, Sylow
759C2×C83—42no—
760C2×C83—81no—
761C2×C83—81no—
762C2×C83C2×#52911yescharacteristic
763C2×C83#345911yescharacteristic
764C2×C83#346011yescharacteristic
765C2×C83#349011yescharacteristic
766C2×C83#349311yescharacteristic
767C2×C83#350511yescharacteristic
768C2×C83#350511yescharacteristic
769D83—24no—
770D83—42no—
771#2852—831no—
772#2852—831no—
773#2848—831no—
774#2847—831no—
775#2646—831no—
776#2639—831no—
777#2622—831no—
778#2622—831no—
779#2578—831no—
780#2578—831no—
781#2577—831no—
782#2577—831no—
783#2560—831no—
784#2560—831no—
785#2559—831no—
786#2559—831no—
787#2531—831no—
788#2531—831no—
789#2530—831no—
790#2530—831no—
791#2477—831no—
792#2477—831no—
793#2476—831no—
794#2476D8311yescharacteristic, complemented
795#2329—831no—
796#2325—831no—
797#2321—831no—
798#2321—831no—
799#2290—831no—
800#2290—831no—
801C2×C4×C22⋊C4—831no—
802C83#3503411yescharacteristic, complemented, Sylow
803C24×C4—831no—
804C2×#126—831no—
805C2×#126—831no—
806C2×C22⋊Q8—831no—
807C2×C22⋊Q8—831no—
808C2×C22⋊Q8—831no—
809C2×#121—831no—
810C2×#121—831no—
811C2×#121C2×D8311yescharacteristic
812C2×#120—831no—
813C2×#120—831no—
814C2×C4×D4—831no—
815C2×C4×D4—831no—
816C2×#117—831no—
817C2×#117C2×D8311yescharacteristic, complemented
818C22×C22⋊C4—831no—
819C22×C22⋊C4—831no—
820C22×C42—831no—
821C22×C42—831no—
822#400—831no—
823#400—831no—
824#400—831no—
825#400—831no—
826#400—831no—
827#400—831no—
828#398—831no—
829#398—831no—
830#398—831no—
831#398C2×D8311yescharacteristic, complemented
832#397—831no—
833#397—831no—
834#397—831no—
835#397—831no—
836#397—831no—
837#397—831no—
838#397—831no—
839#397—831no—
840#397—831no—
841#397—831no—
842#394—831no—
843#394—831no—
844#394—831no—
845#394—831no—
846#394—831no—
847#394—831no—
848#394—831no—
849#394C2×D8311yescharacteristic
850#394C2×D8311yescharacteristic
851#394C2×D8311yescharacteristic, complemented
852#393—831no—
853#393—831no—
854#391—831no—
855#391—831no—
856#390—831no—
857#390—831no—
858#390—831no—
859#390C2×D8311yescharacteristic
860#389—831no—
861#389—831no—
862#388—831no—
863#388—831no—
864#388—831no—
865#388—831no—
866#388—831no—
867#388—831no—
868#388—831no—
869#388—831no—
870#388—831no—
871#388—831no—
872#388—831no—
873#388—831no—
874#388—831no—
875#388—831no—
876#388—831no—
877#388—831no—
878#388—831no—
879#388C2×D8311yescharacteristic, complemented
880#388C2×D8311yescharacteristic, complemented
881#388C2×D8311yescharacteristic, complemented
882#387—831no—
883#387—831no—
884#387—831no—
885#387—831no—
886#387—831no—
887#387—831no—
888#387—831no—
889#387—831no—
890#387—831no—
891#387—831no—
892#387—831no—
893#387—831no—
894#387—831no—
895#387—831no—
896#387—831no—
897#387C2×D8311yescharacteristic, complemented
898#386—831no—
899#386—831no—
900#386—831no—
901#386—831no—
902#386—831no—
903#386—831no—
904#386—831no—
905#386—831no—
906#386—831no—
907#386—831no—
908#386—831no—
909#386—831no—
910#386—831no—
911#386—831no—
912#386—831no—
913#386—831no—
914#386C2×D8311yescharacteristic
915#386C2×D8311yescharacteristic, complemented
916#385—831no—
917#385—831no—
918#385—831no—
919#385—831no—
920#385—831no—
921#385—831no—
922#385—831no—
923#385—831no—
924#385—831no—
925#385—831no—
926#385—831no—
927#385—831no—
928#385—831no—
929#385C2×D8311yescharacteristic
930#383—831no—
931#383—831no—
932#380—831no—
933#380—831no—
934#380—831no—
935#380—831no—
936#380—831no—
937#380—831no—
938#379—831no—
939#379—831no—
940C4×C4⋊C4—831no—
941C4×C4⋊C4—831no—
942C4×C22⋊C4—831no—
943C4×C22⋊C4—831no—
944C4×C22⋊C4—831no—
945C4×C22⋊C4—831no—
946C4×C22⋊C4—831no—
947C4×C22⋊C4—831no—
948C4×C22⋊C4—831no—
949C4×C22⋊C4—831no—
950C4×C22⋊C4—831no—
951C4×C22⋊C4—831no—
952C4×C22⋊C4—831no—
953C4×C22⋊C4C2×D8311yescharacteristic
954#376—831no—
955#376—831no—
956C2×#95—831no—
957C2×#95—831no—
958C25—831no—
959C22×Q8—831no—
960C22×D4—831no—
961C22×D4—831no—
962C22×D4—831no—
963C22×D4—831no—
964C22×D4C22×D8311yescharacteristic
965C22×D4C22×D8311yescharacteristic
966C22×D4C22×D8311yescharacteristic
967C23×C4—3322no—
968C23×C4—3322no—
969C23×C4—831no—
970C23×C4—831no—
971C23×C4—831no—
972C23×C4—831no—
973C23×C4—831no—
974C23×C4—831no—
975C23×C4—831no—
976C23×C4—831no—
977C23×C4—831no—
978C23×C4—831no—
979C23×C4—1664no—
980C23×C4C22×D8311yescharacteristic
981C23×C4C22×D8311yescharacteristic
982#126—3322no—
983#126—3322no—
984C22⋊Q8—3322no—
985C22⋊Q8—3322no—
986C22⋊Q8—1664no—
987#121—42no—
988#121—3322no—
989#121—1664no—
990#120—1664no—
991#120—1664no—
992C4×D4—1664no—
993C4×D4—1664no—
994#117—42no—
995#117—3322no—
996C2×C4⋊C4—831no—
997C2×C4⋊C4—831no—
998C2×C4⋊C4—831no—
999C2×C4⋊C4—831no—
1000C2×C4⋊C4—831no—
1001C2×C4⋊C4—831no—
1002C2×C4⋊C4—831no—
1003C2×C4⋊C4—831no—
1004C2×C4⋊C4—831no—
1005C2×C4⋊C4—831no—
1006C2×C4⋊C4—831no—
1007C2×C4⋊C4—831no—
1008C2×C4⋊C4—831no—
1009C2×C4⋊C4—831no—
1010C2×C4⋊C4—831no—
1011C2×C4⋊C4—831no—
1012C2×C4⋊C4—831no—
1013C2×C4⋊C4—831no—
1014C2×C4⋊C4—831no—
1015C2×C4⋊C4—831no—
1016C2×C4⋊C4C22×D8311yescharacteristic
1017C2×C4⋊C4C22×D8311yescharacteristic
1018C2×C4⋊C4C22×D8311yescharacteristic
1019C2×C4⋊C4C22×D8311yescharacteristic
1020C2×C4⋊C4C22×D8311yescharacteristic
1021C2×C4⋊C4C22×D8311yescharacteristic
1022C2×C22⋊C4—831no—
1023C2×C22⋊C4—831no—
1024C2×C22⋊C4—831no—
1025C2×C22⋊C4—831no—
1026C2×C22⋊C4—831no—
1027C2×C22⋊C4—831no—
1028C2×C22⋊C4—831no—
1029C2×C22⋊C4—831no—
1030C2×C22⋊C4—831no—
1031C2×C22⋊C4—831no—
1032C2×C22⋊C4—831no—
1033C2×C22⋊C4—831no—
1034C2×C22⋊C4—831no—
1035C2×C22⋊C4—831no—
1036C2×C22⋊C4—831no—
1037C2×C22⋊C4—831no—
1038C2×C22⋊C4—831no—
1039C2×C22⋊C4—831no—
1040C2×C22⋊C4—831no—
1041C2×C22⋊C4—831no—
1042C2×C22⋊C4—831no—
1043C2×C22⋊C4—831no—
1044C2×C22⋊C4—831no—
1045C2×C22⋊C4—831no—
1046C2×C22⋊C4—831no—
1047C2×C22⋊C4—831no—
1048C2×C22⋊C4—831no—
1049C2×C22⋊C4—831no—
1050C2×C22⋊C4—831no—
1051C2×C22⋊C4—831no—
1052C2×C22⋊C4—831no—
1053C2×C22⋊C4—831no—
1054C2×C22⋊C4—831no—
1055C2×C22⋊C4—1664no—
1056C2×C22⋊C4—1664no—
1057C2×C22⋊C4C22×D8311yescharacteristic
1058C2×C22⋊C4C22×D8311yescharacteristic
1059C2×C22⋊C4C22×D8311yescharacteristic
1060C2×C22⋊C4C22×D8311yescharacteristic
1061C2×C22⋊C4C22×D8311yescharacteristic
1062C2×C22⋊C4C22×D8311yescharacteristic
1063C2×C22⋊C4C22×D8311yescharacteristic
1064C2×C22⋊C4C22×D8311yescharacteristic
1065C2×C22⋊C4C22×D8311yescharacteristic
1066C2×C22⋊C4C22×D8311yescharacteristic
1067C2×C22⋊C4C22×D8311yescharacteristic
1068C2×C22⋊C4C22×D8311yescharacteristic
1069C2×C22⋊C4C22×D8311yescharacteristic
1070C2×C42—3322no—
1071C2×C42—3322no—
1072C2×C42—831no—
1073C2×C42—831no—
1074C2×C42—831no—
1075C2×C42—831no—
1076C2×C42—831no—
1077C2×C42—831no—
1078C2×C42—831no—
1079C2×C42—831no—
1080C2×C42—831no—
1081C2×C42—831no—
1082C2×C42—831no—
1083C2×C42C22×D8311yescharacteristic
1084C2×C42C22×D8311yescharacteristic
1085C2×C42C22×D8311yescharacteristic
1086#95—831no—
1087#95—831no—
1088#95—831no—
1089#95—831no—
1090#95—831no—
1091#95—831no—
1092#95—831no—
1093#95—831no—
1094#95—831no—
1095#95—831no—
1096#95—831no—
1097#95—831no—
1098#95—831no—
1099#95—831no—
1100#95—831no—
1101#95—831no—
1102#95—831no—
1103#95—831no—
1104#95—831no—
1105#95—831no—
1106#95—831no—
1107#95—831no—
1108#95—831no—
1109#95—831no—
1110#95—831no—
1111#95—831no—
1112#95—831no—
1113#95—831no—
1114#95—831no—
1115#95—831no—
1116#95—831no—
1117#95—831no—
1118#95—831no—
1119#95—831no—
1120#95—831no—
1121#95—831no—
1122#95—831no—
1123#95—831no—
1124#95—831no—
1125#95—831no—
1126#95C22×D8311yescharacteristic
1127#95C22×D8311yescharacteristic
1128#95C22×D8311yescharacteristic
1129#95C22×D8311yescharacteristic
1130#95C22×D8311yescharacteristic
1131#95C22×D8311yescharacteristic
1132#95C22×D8311yescharacteristic
1133#95C22×D8311yescharacteristic
1134C24—3321no—
1135C24—3321no—
1136C24—3321no—
1137C24—3321no—
1138C24—834no—
1139C24—831no—
1140C24—831no—
1141C24—1662no—
1142C24—1662no—
1143C24C23×D8311yescharacteristic
1144C24C23×D8311yescharacteristic
1145C24C23×D8311yescharacteristic
1146C2×Q8—3321no—
1147C2×Q8—3321no—
1148C2×Q8—1662no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—3321no—
1159C2×D4—3321no—
1160C2×D4—3321no—
1161C2×D4—3321no—
1162C2×D4—1662no—
1163C2×D4—1662no—
1164C2×D4—1662no—
1165C2×D4—1662no—
1166C2×D4—1662no—
1167C2×D4—1662no—
1168C2×D4—1662no—
1169C2×D4—1662no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—3321no—
1177C22×C4—3321no—
1178C22×C4—3321no—
1179C22×C4—3321no—
1180C22×C4—3321no—
1181C22×C4—3321no—
1182C22×C4—3321no—
1183C22×C4—3321no—
1184C22×C4—3321no—
1185C22×C4—3321no—
1186C22×C4—3321no—
1187C22×C4—3321no—
1188C22×C4—33216no—
1189C22×C4—3321no—
1190C22×C4—3321no—
1191C22×C4—3321no—
1192C22×C4—834no—
1193C22×C4—834no—
1194C22×C4—831no—
1195C22×C4—831no—
1196C22×C4—831no—
1197C22×C4—831no—
1198C22×C4—831no—
1199C22×C4—831no—
1200C22×C4—831no—
1201C22×C4—831no—
1202C22×C4—831no—
1203C22×C4—831no—
1204C22×C4—831no—
1205C22×C4—831no—
1206C22×C4—831no—
1207C22×C4—831no—
1208C22×C4—1662no—
1209C22×C4—1662no—
1210C22×C4—1662no—
1211C22×C4—1662no—
1212C22×C4—1662no—
1213C22×C4—1662no—
1214C22×C4—1662no—
1215C22×C4—1662no—
1216C22×C4—1662no—
1217C22×C4—1662no—
1218C22×C4—1662no—
1219C22×C4—1662no—
1220C22×C4—1662no—
1221C22×C4C23×D8311yescharacteristic
1222C22×C4C23×D8311yescharacteristic
1223C22×C4C23×D8311yescharacteristic
1224C22×C4C23×D8311yescharacteristic
1225C22×C4C23×D8311yescharacteristic
1226C22×C4C23×D8311yescharacteristic
1227C22×C4C23×D8311yescharacteristic
1228C22×C4C23×D8311yescharacteristic
1229C22×C4C23×D8311yescharacteristic
1230C22×C4C23×D8311yescharacteristic
1231C22×C4C23×D8311yescharacteristic
1232C22×C4C23×D8311yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—3321no—
1240C4⋊C4—3321no—
1241C4⋊C4—3321no—
1242C4⋊C4—3321no—
1243C4⋊C4—3321no—
1244C4⋊C4—3321no—
1245C4⋊C4—3321no—
1246C4⋊C4—3321no—
1247C4⋊C4—3321no—
1248C4⋊C4—3321no—
1249C4⋊C4—3321no—
1250C4⋊C4—3321no—
1251C4⋊C4—1662no—
1252C4⋊C4—1662no—
1253C4⋊C4—1662no—
1254C4⋊C4—1662no—
1255C4⋊C4—1662no—
1256C4⋊C4—1662no—
1257C4⋊C4—1662no—
1258C4⋊C4—1662no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—3321no—
1273C22⋊C4—3321no—
1274C22⋊C4—3321no—
1275C22⋊C4—3321no—
1276C22⋊C4—3321no—
1277C22⋊C4—3321no—
1278C22⋊C4—3321no—
1279C22⋊C4—3321no—
1280C22⋊C4—3321no—
1281C22⋊C4—3321no—
1282C22⋊C4—3321no—
1283C22⋊C4—3321no—
1284C22⋊C4—1662no—
1285C22⋊C4—1662no—
1286C22⋊C4—1662no—
1287C22⋊C4—1662no—
1288C22⋊C4—1662no—
1289C22⋊C4—1662no—
1290C22⋊C4—1662no—
1291C22⋊C4—1662no—
1292C22⋊C4—1662no—
1293C22⋊C4—1662no—
1294C22⋊C4—1662no—
1295C22⋊C4—1662no—
1296C22⋊C4—1662no—
1297C22⋊C4—1662no—
1298C22⋊C4—1662no—
1299C22⋊C4—1662no—
1300C22⋊C4—1662no—
1301C22⋊C4—1662no—
1302C22⋊C4—1662no—
1303C22⋊C4—1662no—
1304C22⋊C4—1662no—
1305C42—22no—
1306C42—41no—
1307C42—41no—
1308C42—3321no—
1309C42—3321no—
1310C42—3321no—
1311C42—3321no—
1312C42—3321no—
1313C42—3321no—
1314C42—1662no—
1315C42—1662no—
1316C42—1662no—
1317C42—1662no—
1318C42—1662no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—3324no—
1340C23—3324no—
1341C23—3324no—
1342C23—3324no—
1343C23—3324no—
1344C23—3324no—
1345C23—832no—
1346C23—832no—
1347C23—832no—
1348C23—832no—
1349C23—1668no—
1350C23—1661no—
1351C23—1661no—
1352C23—1661no—
1353C23—1661no—
1354C23—1661no—
1355C23—1661no—
1356C23—1661no—
1357C23—1661no—
1358C23—1661no—
1359C23—1661no—
1360C23#41×D8312yes—
1361C23C24×D8311yescharacteristic
1362Q8—6642no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
1366D4—3324no—
1367D4—3324no—
1368D4—6642no—
1369D4—6642no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—3324no—
1406C2×C4—3324no—
1407C2×C4—3324no—
1408C2×C4—3324no—
1409C2×C4—3324no—
1410C2×C4—3324no—
1411C2×C4—3324no—
1412C2×C4—3324no—
1413C2×C4—3324no—
1414C2×C4—832no—
1415C2×C4—832no—
1416C2×C4—832no—
1417C2×C4—1668no—
1418C2×C4—1661no—
1419C2×C4—1661no—
1420C2×C4—1661no—
1421C2×C4—1661no—
1422C2×C4—1661no—
1423C2×C4—1661no—
1424C2×C4—1661no—
1425C2×C4—1661no—
1426C2×C4—1661no—
1427C2×C4—1661no—
1428C2×C4—1661no—
1429C2×C4—1661no—
1430C2×C4—1661no—
1431C2×C4—1661no—
1432C2×C4—1661no—
1433C2×C4—1661no—
1434C2×C4—1661no—
1435C2×C4—1661no—
1436C2×C4—1661no—
1437C2×C4—1661no—
1438C2×C4—1661no—
1439C2×C4—1661no—
1440C2×C4—1661no—
1441C2×C4—1661no—
1442C2×C4—1661no—
1443C2×C4—1661no—
1444C2×C4—1661no—
1445C2×C4—1661no—
1446C2×C4—1661no—
1447C2×C4—1661no—
1448C2×C4—1661no—
1449C2×C4—1661no—
1450C2×C4—1661no—
1451C2×C4—1661no—
1452C2×C4—1661no—
1453C2×C4—1661no—
1454C2×C4—1661no—
1455C2×C4—1661no—
1456C2×C4—1661no—
1457C2×C4#41×D8312yes—
1458C2×C4#41×D8312yes—
1459C2×C4#1458183712yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—33216no—
1482C22—3321no—
1483C22—3321no—
1484C22—3321no—
1485C22—3321no—
1486C22—834no—
1487C22—1662no—
1488C22—1662no—
1489C22—1662no—
1490C22—1662no—
1491C22—1662no—
1492C22—1662no—
1493C22—1662no—
1494C22—1662no—
1495C22—1662no—
1496C22C2×#41×D8311yescharacteristic
1497C22C2×#41×D8311yescharacteristic
1498C22C2×#41×D8311yescharacteristic
1499C22H(5,𝔽2)×D8311yescharacteristic
1500C22C2×#1458183711yescharacteristic
1501C22#1912853611yescharacteristic
1502C22#1912853711yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—3321no—
1516C4—3321no—
1517C4—3321no—
1518C4—3321no—
1519C4—3321no—
1520C4—3321no—
1521C4—3321no—
1522C4—3321no—
1523C4—3321no—
1524C4—3321no—
1525C4—3321no—
1526C4—1662no—
1527C4—1662no—
1528C4—1662no—
1529C2—42no—
1530C2—81no—
1531C2—81no—
1532C2—3322no—
1533C2—1664no—
1534C2#529×D8311yescharacteristic
1535C2#2492087011yescharacteristic
1536C2#2492087811yescharacteristic
1537C2#2492114511yescharacteristic
1538C2#2492117411yescharacteristic
1539C2#2492129011yescharacteristic
1540C2#2492129611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2476C2
prime radical#24915742C2
hypercenter#2476D83
hypocenterC83#35034
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2476

Complements

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

NH ≅ G/Ntype
1. #24915777C2semidirect
2. #24915777C2semidirect
3. #24915749C2semidirect
5. #24913432C2semidirect
6. #24913394C2semidirect
7. #24913235C2semidirect
8. #24913235C2semidirect
9. #24912798C2semidirect
10. #24912794C2semidirect
11. #24912789C2semidirect
12. #24912785C2semidirect
13. #24912612C2semidirect
14. #24912600C2semidirect
15. #24912591C2semidirect
16. #24912587C2semidirect
17. #24912312C2semidirect
18. #24912308C2semidirect
19. #24912299C2semidirect
20. #24912295C2semidirect
21. #24911670C2semidirect
22. #24911658C2semidirect
23. #24911645C2semidirect
24. #24910190C2semidirect
25. #24910165C2semidirect
26. #24910122C2semidirect
27. #24910119C2semidirect
28. #24909905C2semidirect
29. #24909900C2semidirect
30. C4×C22⋊C4×D83C2semidirect
31. C83×#2476C2semidirect
33. C2×#14581785C22semidirect
34. C2×#14581785C22semidirect
44. C2×#14581748C22semidirect
49. #19127643C22semidirect
50. #19127643C22semidirect
51. #19127642C22semidirect
52. #19127641C22semidirect
53. #19127640C22semidirect
54. #19127639C22semidirect
55. #19127634C22semidirect
56. #19127632C22semidirect
57. #19127631C22semidirect
62. #19127629C22semidirect
63. #19127629C22semidirect
74. #19127615C22semidirect
75. #19127613C22semidirect
76. #19127613C22semidirect
77. #19127607C22semidirect
78. #19127605C22semidirect
82. #19127600C22semidirect
83. #19127598C22semidirect
86. #19127595C22semidirect
87. #19127595C22semidirect
88. #19127595C22semidirect
89. #19127594C22semidirect
90. #19127594C22semidirect
91. #19127594C22semidirect
98. #19127589C22semidirect
99. #19127589C22semidirect
100. #19127589C22semidirect
101. #19127588C22semidirect
102. #19127587C22semidirect
103. #19127587C22semidirect
104. #19127586C22semidirect
105. #19127585C22semidirect
106. #19127585C22semidirect
107. #19127585C22semidirect
108. #19127584C22semidirect
109. #19127584C22semidirect
110. #19127584C22semidirect
111. #19127583C22semidirect
112. #19127583C22semidirect
113. #19127582C22semidirect
114. #19127582C22semidirect
115. #19127582C22semidirect
119. #19127581C22semidirect
138. #19127574C22semidirect
139. #19127573C22semidirect
145. #19127568C22semidirect
146. #19127568C22semidirect
155. C4⋊C4×Dic83C22semidirect
156. C4×Dic83⋊C4C22semidirect
159. C22⋊C4×Dic83C22semidirect
164. C4×C22⋊Dic83C22semidirect
168. #19127547C22semidirect
169. #19127546C22semidirect
173. C2×#117×C83C22semidirect
174. #398×C83C22semidirect
177. #394×C83C22semidirect
179. #388×C83C22semidirect
180. #388×C83C22semidirect
181. #388×C83C22semidirect
182. #387×C83C22semidirect
184. #386×C83C22semidirect
794. #2476D83semidirect
802. C83#35034semidirect
817. C2×#117C2×D83semidirect
831. #398C2×D83semidirect
851. #394C2×D83semidirect
879. #388C2×D83semidirect
880. #388C2×D83semidirect
881. #388C2×D83semidirect
897. #387C2×D83semidirect
915. #386C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157772
#249157492
#249157422
#249134322
#249133942
#249132352
#249127982
#249127942
#249127892
#249127852
#249126122
#249126002
#249125912
#249125872
#249123122
#249123082
#249122992
#249122952
#249116702
#249116582
#249116452
#249101902
#249101652
#249101222
#249101192
#249099052
#249099002
C4×C22⋊C4×D832
C83×#24762
#3503483