Finite Group Databasebeta

← #35577639

Subgroups — #35577639

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#24915769C211yesmaximal, characteristic, complemented
2#24915760C211yesmaximal, characteristic, complemented
3#24915749C211yesmaximal, characteristic, complemented
4#24915744C211yesmaximal, characteristic
5#24913419C211yesmaximal, characteristic, complemented
6#24913418C211yesmaximal, characteristic, complemented
7#24913241C211yesmaximal, characteristic, complemented
8#24913240C211yesmaximal, characteristic, complemented
9#24913012C211yesmaximal, characteristic, complemented
10#24913010C211yesmaximal, characteristic, complemented
11#24912982C211yesmaximal, characteristic, complemented
12#24912980C211yesmaximal, characteristic, complemented
13#24912795C211yesmaximal, characteristic, complemented
14#24912793C211yesmaximal, characteristic, complemented
15#24912765C211yesmaximal, characteristic, complemented
16#24912763C211yesmaximal, characteristic, complemented
17#24911873C211yesmaximal, characteristic, complemented
18#24911862C211yesmaximal, characteristic, complemented
19#24911814C211yesmaximal, characteristic, complemented
20#24911803C211yesmaximal, characteristic, complemented
21#24911039C211yesmaximal, characteristic, complemented
22#24911028C211yesmaximal, characteristic, complemented
23#24910965C211yesmaximal, characteristic, complemented
24#24910954C211yesmaximal, characteristic, complemented
25#24910123C211yesmaximal, characteristic, complemented
26#24910117C211yesmaximal, characteristic, complemented
27#24910097C211yesmaximal, characteristic, complemented
28C4×#14581769C211yesmaximal, characteristic, complemented
29C4×#14581764C211yesmaximal, characteristic, complemented
30C2×#19127548C211yesmaximal, characteristic, complemented
31C83×#2318C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33C2×#14581782C2211yescharacteristic, complemented
34C2×#14581778C2211yescharacteristic, complemented
35C2×#14581770C2211yescharacteristic
36C2×#14581770C2211yescharacteristic
37C2×#14581769C2211yescharacteristic
38C2×#14581765C2211yescharacteristic
39C2×#14581765C2211yescharacteristic
40C2×#14581764C2211yescharacteristic
41C2×#14581762C2211yescharacteristic
42C2×#14581760C2211yescharacteristic
43C2×C4×Dic166C2211yescharacteristic, complemented
44C2×C4×C22⋊D83C2211yescharacteristic
45C2×C4×C22⋊D83C2211yescharacteristic, complemented
46C22×(C2×D83)⋊C4C2211yescharacteristic
47C22×(C2×D83)⋊C4C2211yescharacteristic
48C22×C4×Dic83C2211yescharacteristic
49C22×C4×Dic83C2211yescharacteristic
50C83⋊#401C2211yescharacteristic, complemented
51C83⋊#401C2211yescharacteristic, complemented
52#19127643C2211yescharacteristic, complemented
53#19127643C2211yescharacteristic, complemented
54#19127642C2211yescharacteristic, complemented
55#19127641C2211yescharacteristic, complemented
56#19127640C2211yescharacteristic, complemented
57#19127639C2211yescharacteristic, complemented
58#19127630C2211yescharacteristic
59#19127630C2211yescharacteristic
60#19127630C2211yescharacteristic
61#19127630C2211yescharacteristic
62#19127630C2211yescharacteristic, complemented
63#19127629C2211yescharacteristic, complemented
64#19127629C2211yescharacteristic, complemented
65#19127628C2211yescharacteristic
66#19127628C2211yescharacteristic
67#19127628C2211yescharacteristic, complemented
68#19127627C2211yescharacteristic
69#19127627C2211yescharacteristic
70#19127627C2211yescharacteristic, complemented
71#19127626C2211yescharacteristic, complemented
72#19127624C2211yescharacteristic, complemented
73#19127623C2211yescharacteristic, complemented
74#19127619C2211yescharacteristic
75#19127619C2211yescharacteristic
76#19127618C2211yescharacteristic
77#19127618C2211yescharacteristic
78#19127617C2211yescharacteristic
79#19127617C2211yescharacteristic
80#19127616C2211yescharacteristic
81#19127616C2211yescharacteristic
82#19127605C2211yescharacteristic, complemented
83#19127605C2211yescharacteristic, complemented
84#19127603C2211yescharacteristic
85#19127603C2211yescharacteristic
86#19127601C2211yescharacteristic
87#19127601C2211yescharacteristic
88#19127601C2211yescharacteristic, complemented
89#19127601C2211yescharacteristic, complemented
90#19127598C2211yescharacteristic, complemented
91#19127598C2211yescharacteristic, complemented
92#19127596C2211yescharacteristic, complemented
93#19127596C2211yescharacteristic, complemented
94#19127595C2211yescharacteristic, complemented
95#19127594C2211yescharacteristic, complemented
96#19127593C2211yescharacteristic
97#19127593C2211yescharacteristic
98#19127593C2211yescharacteristic, complemented
99#19127592C2211yescharacteristic
100#19127592C2211yescharacteristic
101#19127592C2211yescharacteristic
102#19127592C2211yescharacteristic
103#19127591C2211yescharacteristic
104#19127591C2211yescharacteristic
105#19127591C2211yescharacteristic, complemented
106#19127590C2211yescharacteristic, complemented
107#19127590C2211yescharacteristic, complemented
108#19127590C2211yescharacteristic, complemented
109#19127589C2211yescharacteristic, complemented
110#19127588C2211yescharacteristic, complemented
111#19127587C2211yescharacteristic, complemented
112#19127586C2211yescharacteristic, complemented
113#19127584C2211yescharacteristic, complemented
114#19127583C2211yescharacteristic, complemented
115#19127583C2211yescharacteristic, complemented
116#19127583C2211yescharacteristic, complemented
117#19127582C2211yescharacteristic, complemented
118#19127581C2211yescharacteristic
119#19127581C2211yescharacteristic
120#19127580C2211yescharacteristic
121#19127580C2211yescharacteristic
122#19127580C2211yescharacteristic
123#19127580C2211yescharacteristic
124#19127579C2211yescharacteristic
125#19127579C2211yescharacteristic
126#19127579C2211yescharacteristic
127#19127579C2211yescharacteristic
128#19127578C2211yescharacteristic
129#19127578C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127577C2211yescharacteristic
132#19127576C2211yescharacteristic
133#19127576C2211yescharacteristic
134#19127575C2211yescharacteristic
135#19127575C2211yescharacteristic
136#19127574C2211yescharacteristic
137#19127574C2211yescharacteristic
138#19127573C2211yescharacteristic
139#19127573C2211yescharacteristic
140#19127572C2211yescharacteristic
141#19127572C2211yescharacteristic
142#19127568C2211yescharacteristic, complemented
143#19127565C2211yescharacteristic, complemented
144#19127565C2211yescharacteristic, complemented
145#19127565C2211yescharacteristic, complemented
146#19127563C2211yescharacteristic, complemented
147#19127560C2211yescharacteristic
148#19127560C2211yescharacteristic
149#19127560C2211yescharacteristic
150#19127560C2211yescharacteristic
151#19127560C2211yescharacteristic, complemented
152#19127559C2211yescharacteristic
153#19127559C2211yescharacteristic
154#19127556C2211yescharacteristic
155#19127556C2211yescharacteristic
156C4×Dic83⋊C4C2211yescharacteristic, complemented
157C4×Dic83⋊C4C2211yescharacteristic, complemented
158C4×Dic83⋊C4C2211yescharacteristic, complemented
159C4×C4⋊Dic83C2211yescharacteristic, complemented
160C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
161C4×C22⋊Dic83C2211yescharacteristic
162C4×C22⋊Dic83C2211yescharacteristic, complemented
163#19127548C2211yescharacteristic
164#19127548C2211yescharacteristic
165#19127548C2211yescharacteristic
166#19127548C2211yescharacteristic
167#19127548C2211yescharacteristic
168#19127548C2211yescharacteristic
169#19127548C2211yescharacteristic
170#19127548C2211yescharacteristic
171C2×C83⋊#95C2211yescharacteristic
172C2×C4×D4×C83C2211yescharacteristic
173#388×C83C2211yescharacteristic, complemented
174#388×C83C2211yescharacteristic, complemented
175#387×C83C2211yescharacteristic, complemented
176#387×C83C2211yescharacteristic, complemented
177#386×C83C2211yescharacteristic
178#386×C83C2211yescharacteristic
179#385×C83C2211yescharacteristic
180#385×C83C2211yescharacteristic
181#383×C83C2211yescharacteristic, complemented
182#382×C83C2211yescharacteristic, complemented
183#381×C83C2211yescharacteristic, complemented
184#380×C83C2211yescharacteristic, complemented
185C4×C22⋊C4×C83C2211yescharacteristic
186C2×#95×C83C2211yescharacteristic
187C24×D83C2311yescharacteristic
188C22×Dic166C2311yescharacteristic
189C22×D332C2311yescharacteristic
190C22×D332C2311yescharacteristic
191C22×C22⋊D83C2311yescharacteristic
192C22×C22⋊D83C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C23×Dic83C2311yescharacteristic
196C23×Dic83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198C22×C4×D83—24no—
199C22×C4×D83—42no—
200C22×C4×D83—42no—
201C22×C4×D83C2311yescharacteristic
202C22×C4×D83C2311yescharacteristic
203C22×C4×D83C2311yescharacteristic
204C22×C4×D83C2311yescharacteristic
205C22×C4×D83C2311yescharacteristic
206#14581782—42no—
207#14581778—42no—
208#14581770—42no—
209#14581770—42no—
210#14581769—24no—
211#14581765—42no—
212#14581765—42no—
213#14581764—24no—
214#14581762—24no—
215#14581760—24no—
216C4×Dic166—42no—
217C4×C22⋊D83—24no—
218C4×C22⋊D83—42no—
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×Dic83⋊C4C2311yescharacteristic
239C2×Dic83⋊C4C2311yescharacteristic
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×(C2×D83)⋊C4—24no—
249C2×(C2×D83)⋊C4—24no—
250C2×(C2×D83)⋊C4C2311yescharacteristic
251C2×(C2×D83)⋊C4C2311yescharacteristic
252C2×(C2×D83)⋊C4C2311yescharacteristic
253C2×(C2×D83)⋊C4C2311yescharacteristic
254C2×(C2×D83)⋊C4C2311yescharacteristic
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
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×C4×Dic83—42no—
281C2×C4×Dic83—42no—
282C2×C4×Dic83C2311yescharacteristic
283C2×C4×Dic83C2311yescharacteristic
284C2×C4×Dic83C2311yescharacteristic
285C2×C4×Dic83C2311yescharacteristic
286C2×C4×Dic83C2311yescharacteristic
287C2×C4×Dic83C2311yescharacteristic
288C2×C4×Dic83C2311yescharacteristic
289C2×C4×Dic83C2311yescharacteristic
290C2×C4×Dic83C2311yescharacteristic
291C2×C4×Dic83C2311yescharacteristic
292C2×C4×Dic83C2311yescharacteristic
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
326C83⋊#95C2311yescharacteristic
327C22×D4×C83C2311yescharacteristic
328C23×C4×C83C2311yescharacteristic
329C23×C4×C83C2311yescharacteristic
330C23×C4×C83C2311yescharacteristic
331C23×C4×C83C2311yescharacteristic
332C4×D4×C83—24no—
333C2×C4⋊C4×C83C2311yescharacteristic
334C2×C4⋊C4×C83C2311yescharacteristic
335C2×C4⋊C4×C83C2311yescharacteristic
336C2×C4⋊C4×C83C2311yescharacteristic
337C2×C4⋊C4×C83C2311yescharacteristic
338C2×C22⋊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×C42×C83C2311yescharacteristic
347C2×C42×C83C2311yescharacteristic
348C2×C42×C83C2311yescharacteristic
349#95×C83C2311yescharacteristic
350#95×C83C2311yescharacteristic
351#95×C83C2311yescharacteristic
352#95×C83C2311yescharacteristic
353#95×C83C2311yescharacteristic
354#95×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
372C23×D83C2411yescharacteristic
373C2×Dic166—22no—
374C2×Dic166—22no—
375C2×Dic166—22no—
376C2×D332—22no—
377C2×D332—22no—
378C2×D332—41no—
379C2×D332—41no—
380C2×D332—41no—
381C2×D332—41no—
382C2×C22⋊D83—22no—
383C2×C22⋊D83—22no—
384C2×C22⋊D83—22no—
385C2×C22⋊D83—22no—
386C2×C22⋊D83—22no—
387C2×C22⋊D83—22no—
388C2×C22⋊D83—22no—
389C2×C22⋊D83—22no—
390C2×C22⋊D83—41no—
391C2×C22⋊D83—41no—
392C2×C22⋊D83—41no—
393C2×C22⋊D83—41no—
394C22×Dic83—22no—
395C22×Dic83—22no—
396C22×Dic83—22no—
397C22×Dic83—22no—
398C22×Dic83—41no—
399C22×Dic83—41no—
400C22×Dic83—41no—
401C22×Dic83—41no—
402C22×Dic83#4114yes—
403C22×Dic83C2411yescharacteristic
404C22×Dic83C2411yescharacteristic
405C22×Dic83C2411yescharacteristic
406C22×Dic83C2411yescharacteristic
407C22×Dic83C2411yescharacteristic
408C22×Dic83C2411yescharacteristic
409C22×Dic83C2411yescharacteristic
410C22×Dic83C2411yescharacteristic
411C22×Dic83C2411yescharacteristic
412C22×Dic83C2411yescharacteristic
413C22×Dic83C2411yescharacteristic
414C22×Dic83C2411yescharacteristic
415C22×Dic83C2411yescharacteristic
416C2×C4×D83—22no—
417C2×C4×D83—22no—
418C2×C4×D83—22no—
419C2×C4×D83—22no—
420C2×C4×D83—22no—
421C2×C4×D83—22no—
422C2×C4×D83—22no—
423C2×C4×D83—22no—
424C2×C4×D83—22no—
425C2×C4×D83—41no—
426C2×C4×D83—41no—
427C2×C4×D83—41no—
428C2×C4×D83—41no—
429C2×C4×D83—416no—
430C2×C4×D83—41no—
431C2×C4×D83—41no—
432C4⋊Dic83—22no—
433C4⋊Dic83—41no—
434C4⋊Dic83—41no—
435C4⋊Dic83—41no—
436C4⋊Dic83—41no—
437Dic83⋊C4—22no—
438Dic83⋊C4—22no—
439Dic83⋊C4—22no—
440Dic83⋊C4—22no—
441Dic83⋊C4—22no—
442Dic83⋊C4—22no—
443Dic83⋊C4—22no—
444Dic83⋊C4—22no—
445Dic83⋊C4—41no—
446Dic83⋊C4—41no—
447Dic83⋊C4—41no—
448Dic83⋊C4—41no—
449Dic83⋊C4—41no—
450Dic83⋊C4—41no—
451Dic83⋊C4—41no—
452Dic83⋊C4—41no—
453C22⋊Dic83—22no—
454C22⋊Dic83—22no—
455C22⋊Dic83—22no—
456C22⋊Dic83—22no—
457C22⋊Dic83—41no—
458C22⋊Dic83—41no—
459C22⋊Dic83—41no—
460C22⋊Dic83—41no—
461(C2×D83)⋊C4—22no—
462(C2×D83)⋊C4—22no—
463(C2×D83)⋊C4—22no—
464(C2×D83)⋊C4—22no—
465(C2×D83)⋊C4—22no—
466(C2×D83)⋊C4—22no—
467(C2×D83)⋊C4—22no—
468(C2×D83)⋊C4—22no—
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—41no—
476(C2×D83)⋊C4—41no—
477(C2×D83)⋊C4—41no—
478(C2×D83)⋊C4—41no—
479(C2×D83)⋊C4—41no—
480(C2×D83)⋊C4—41no—
481(C2×D83)⋊C4—41no—
482(C2×D83)⋊C4—41no—
483(C2×D83)⋊C4—41no—
484(C2×D83)⋊C4—41no—
485(C2×D83)⋊C4—41no—
486(C2×D83)⋊C4—41no—
487(C2×D83)⋊C4—41no—
488(C2×D83)⋊C4—41no—
489(C2×D83)⋊C4—41no—
490(C2×D83)⋊C4—41no—
491C4×Dic83—22no—
492C4×Dic83—22no—
493C4×Dic83—22no—
494C4×Dic83—22no—
495C4×Dic83—22no—
496C4×Dic83—41no—
497C4×Dic83—41no—
498C4×Dic83—41no—
499C4×Dic83—41no—
500C4×Dic83—41no—
501C4×Dic83—41no—
502C24×C83C2411yescharacteristic
503C24×C83C2411yescharacteristic
504C2×D4×C83—22no—
505C2×D4×C83—22no—
506C2×D4×C83—22no—
507C22×C4×C83—22no—
508C22×C4×C83—22no—
509C22×C4×C83—22no—
510C22×C4×C83—41no—
511C22×C4×C83—41no—
512C22×C4×C83—41no—
513C22×C4×C83—41no—
514C22×C4×C83—41no—
515C22×C4×C83—41no—
516C22×C4×C83—41no—
517C22×C4×C83—41no—
518C22×C4×C83#4114yes—
519C22×C4×C83C2411yescharacteristic
520C22×C4×C83C2411yescharacteristic
521C22×C4×C83C2411yescharacteristic
522C22×C4×C83C2411yescharacteristic
523C22×C4×C83C2411yescharacteristic
524C22×C4×C83C2411yescharacteristic
525C22×C4×C83C2411yescharacteristic
526C22×C4×C83C2411yescharacteristic
527C22×C4×C83C2411yescharacteristic
528C22×C4×C83C2411yescharacteristic
529C22×C4×C83C2411yescharacteristic
530C22×C4×C83C2411yescharacteristic
531C22×C4×C83C2411yescharacteristic
532C4⋊C4×C83—22no—
533C4⋊C4×C83—41no—
534C4⋊C4×C83—41no—
535C4⋊C4×C83—41no—
536C4⋊C4×C83—41no—
537C22⋊C4×C83—22no—
538C22⋊C4×C83—22no—
539C22⋊C4×C83—22no—
540C22⋊C4×C83—22no—
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×C83C2×#4112yes—
560C23×C83C2×#4112yes—
561C23×C83C2×#4112yes—
562C23×C83C2511yescharacteristic
563C22×D83—28no—
564C22×D83—21no—
565C22×D83—21no—
566C22×D83—21no—
567C22×D83—21no—
568C22×D83—21no—
569C22×D83—21no—
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—21no—
581C22×D83—21no—
582C22×D83—21no—
583C22×D83—44no—
584C22×D83—44no—
585C22×D83—44no—
586C22×D83—44no—
587C22×D83—44no—
588C22×D83—44no—
589C22×D83C2×#4112yes—
590C22×D83C2×#4112yes—
591D4×C83—44no—
592C2×C4×C83—21no—
593C2×C4×C83—21no—
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—21no—
628C2×C4×C83—21no—
629C2×C4×C83—44no—
630C2×C4×C83—44no—
631C2×C4×C83—44no—
632C2×C4×C83—82no—
633C2×C4×C83C2×#4112yes—
634C2×C4×C83C2×#4112yes—
635C22⋊D83—44no—
636C22⋊D83—44no—
637C22⋊D83—82no—
638C22⋊D83—82no—
639C2×Dic83—21no—
640C2×Dic83—21no—
641C2×Dic83—28no—
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—
680C2×Dic83H(5,𝔽2)12yes—
681D332—82no—
682D332—82no—
683C4×D83—44no—
684C4×D83—44no—
685C4×D83—44no—
686C4×D83—44no—
687C4×D83—82no—
688Dic166—44no—
689C22×C83—22no—
690C22×C83—22no—
691C22×C83—22no—
692C22×C83—22no—
693C22×C83—22no—
694C22×C83—22no—
695C22×C83—41no—
696C22×C83—41no—
697C22×C83—41no—
698C22×C83—41no—
699C22×C83—41no—
700C22×C83—41no—
701C22×C83—41no—
702C22×C83#52914yes—
703C22×C83C22×#4111yescharacteristic
704C22×C83C22×#4111yescharacteristic
705C22×C83C22×#4111yescharacteristic
706C22×C83C2×H(5,𝔽2)11yescharacteristic
707C22×C83C2×H(5,𝔽2)11yescharacteristic
708C22×C83#58511yescharacteristic
709C22×C83#58511yescharacteristic
710C2×D83—22no—
711C2×D83—22no—
712C2×D83—22no—
713C2×D83—22no—
714C2×D83—22no—
715C2×D83—22no—
716C2×D83—416no—
717C2×D83—41no—
718C2×D83—41no—
719C2×D83—41no—
720C2×D83—41no—
721C2×D83—41no—
722C2×D83—41no—
723C2×D83—41no—
724C2×D83—41no—
725C2×D83—41no—
726C2×D83—41no—
727C2×D83—41no—
728C2×D83—41no—
729C2×D83—41no—
730C2×D83—41no—
731C2×D83—41no—
732C4×C83—22no—
733C4×C83—22no—
734C4×C83—41no—
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—
744C4×C83—41no—
745Dic83—22no—
746Dic83—41no—
747Dic83—41no—
748Dic83—41no—
749Dic83—41no—
750Dic83—41no—
751Dic83—41no—
752Dic83—41no—
753Dic83—41no—
754Dic83—41no—
755Dic83—41no—
756Dic83—41no—
757Dic83#53814yes—
758#35023—831nomaximal, Sylow
759C2×C83—24no—
760C2×C83—81no—
761C2×C83C2×#52911yescharacteristic
762C2×C83C2×#53811yescharacteristic
763C2×C83#345511yescharacteristic
764C2×C83#350511yescharacteristic
765C2×C83#350511yescharacteristic
766C2×C83#350511yescharacteristic
767C2×C83#350611yescharacteristic
768D83—42no—
769D83—42no—
770D83—81no—
771#2851—831no—
772#2850—831no—
773#2848—831no—
774#2847—831no—
775#2643—831no—
776#2643—831no—
777#2622—831no—
778#2622—831no—
779#2597—831no—
780#2597—831no—
781#2595—831no—
782#2595—831no—
783#2578—831no—
784#2578—831no—
785#2576—831no—
786#2576—831no—
787#2495—831no—
788#2494—831no—
789#2490—831no—
790#2489—831no—
791#2427—831no—
792#2426—831no—
793#2421—831no—
794#2420—831no—
795#2321—831no—
796#2321—831no—
797#2318—831no—
798#2318D8311yescharacteristic, complemented
799C4×C22⋊Q8—831no—
800C4×#121—831no—
801C2×C4×C22⋊C4—831no—
802C83#3502311yescharacteristic, complemented, Sylow
803C24×C4—831no—
804C2×#125—831no—
805C2×#124—831no—
806C2×C22⋊Q8—831no—
807C2×C22⋊Q8—831no—
808C2×C22⋊Q8—831no—
809C2×#121—831no—
810C2×#121—831no—
811C2×#121—831no—
812C2×#120—831no—
813C2×#120—831no—
814C2×C4×Q8—831no—
815C2×C4×D4—831no—
816C2×C4×D4—831no—
817C2×C4×D4C2×D8311yescharacteristic
818C22×C22⋊C4—831no—
819C22×C22⋊C4—831no—
820C22×C42—831no—
821C22×C42—831no—
822#401—831no—
823#401—831no—
824#400—831no—
825#400—831no—
826#400—831no—
827#400—831no—
828#400—831no—
829#400—831no—
830#397—831no—
831#397—831no—
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#397—831no—
843#397—831no—
844#396—831no—
845#396—831no—
846#394—831no—
847#394—831no—
848#394—831no—
849#394—831no—
850#394—831no—
851#394—831no—
852#394—831no—
853#394—831no—
854#391—831no—
855#391—831no—
856#390—831no—
857#390—831no—
858#390—831no—
859#390—831no—
860#390—831no—
861#390—831no—
862#389—831no—
863#389—831no—
864#389—831no—
865#389—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#388—831no—
880#388—831no—
881#388—831no—
882#388C2×D8311yescharacteristic, complemented
883#388C2×D8311yescharacteristic, complemented
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#387C2×D8311yescharacteristic, complemented
893#387C2×D8311yescharacteristic, complemented
894#386—831no—
895#386—831no—
896#386—831no—
897#386—831no—
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#386C2×D8311yescharacteristic
909#386C2×D8311yescharacteristic
910#385—831no—
911#385—831no—
912#385—831no—
913#385—831no—
914#385—831no—
915#385—831no—
916#385—831no—
917#385—831no—
918#385—831no—
919#385—831no—
920#385C2×D8311yescharacteristic
921#385C2×D8311yescharacteristic
922#383—831no—
923#383C2×D8311yescharacteristic, complemented
924#382—831no—
925#382—831no—
926#382—831no—
927#382C2×D8311yescharacteristic, complemented
928#381—831no—
929#381C2×D8311yescharacteristic, complemented
930#380—831no—
931#380—831no—
932#380—831no—
933#380—831no—
934#380—831no—
935#380—831no—
936#380—831no—
937#380C2×D8311yescharacteristic, complemented
938#379—831no—
939#379—831no—
940C4×C4⋊C4—831no—
941C4×C4⋊C4—831no—
942C4×C4⋊C4—831no—
943C4×C4⋊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⋊C4—831no—
954C4×C22⋊C4—831no—
955C4×C22⋊C4C2×D8311yescharacteristic
956C2×#95—831no—
957C2×#95C2×D8311yescharacteristic
958C25—831no—
959C22×Q8—831no—
960C22×D4—831no—
961C22×D4—831no—
962C22×D4—831no—
963C22×D4—831no—
964C22×D4—831no—
965C22×D4—831no—
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—1664no—
978C23×C4C22×D8311yescharacteristic
979C23×C4C22×D8311yescharacteristic
980C23×C4C22×D8311yescharacteristic
981C23×C4C22×D8311yescharacteristic
982#125—3322no—
983#124—3322no—
984C22⋊Q8—3322no—
985C22⋊Q8—3322no—
986C22⋊Q8—1664no—
987#121—3322no—
988#121—3322no—
989#121—1664no—
990#120—1664no—
991#120—1664no—
992C4×Q8—3322no—
993C4×D4—24no—
994C4×D4—3322no—
995C4×D4—1664no—
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⋊C4—831no—
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—831no—
1056C2×C22⋊C4—831no—
1057C2×C22⋊C4—831no—
1058C2×C22⋊C4—831no—
1059C2×C22⋊C4—831no—
1060C2×C22⋊C4—1664no—
1061C2×C22⋊C4—1664no—
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#95C22×D8311yescharacteristic
1121#95C22×D8311yescharacteristic
1122#95C22×D8311yescharacteristic
1123#95C22×D8311yescharacteristic
1124#95C22×D8311yescharacteristic
1125#95C22×D8311yescharacteristic
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—831no—
1142C24—1662no—
1143C24—1662no—
1144C24C23×D8311yescharacteristic
1145C24C23×D8311yescharacteristic
1146C2×Q8—1662no—
1147C2×Q8—1662no—
1148C2×Q8—1662no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—3321no—
1153C2×D4—3321no—
1154C2×D4—3321no—
1155C2×D4—3321no—
1156C2×D4—3321no—
1157C2×D4—3321no—
1158C2×D4—3321no—
1159C2×D4—3321no—
1160C2×D4—1662no—
1161C2×D4—1662no—
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—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—3321no—
1182C22×C4—3321no—
1183C22×C4—3321no—
1184C22×C4—3321no—
1185C22×C4—3321no—
1186C22×C4—3321no—
1187C22×C4—33216no—
1188C22×C4—3321no—
1189C22×C4—3321no—
1190C22×C4—3321no—
1191C22×C4—3321no—
1192C22×C4—831no—
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—1662no—
1207C22×C4—1662no—
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#1305059014yes—
1220C22×C4C23×D8311yescharacteristic
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—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—3321no—
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—1662no—
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—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—3321no—
1268C22⋊C4—3321no—
1269C22⋊C4—3321no—
1270C22⋊C4—3321no—
1271C22⋊C4—3321no—
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—3321no—
1285C22⋊C4—3321no—
1286C22⋊C4—3321no—
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—3324no—
1331C23—3324no—
1332C23—3324no—
1333C23—3324no—
1334C23—3324no—
1335C23—3324no—
1336C23—832no—
1337C23—832no—
1338C23—1661no—
1339C23—1661no—
1340C23—1661no—
1341C23—1661no—
1342C23—1661no—
1343C23—1661no—
1344C23—1661no—
1345C23—1668no—
1346C23—1661no—
1347C23—1661no—
1348C23—1661no—
1349C23—1661no—
1350C23—1661no—
1351C23—1661no—
1352C23—1661no—
1353C23—1661no—
1354C23—1661no—
1355C23—1661no—
1356C23—1661no—
1357C23—1661no—
1358C23#41×D8312yes—
1359C23#41×D8312yes—
1360C23C2×#1305059012yes—
1361C23C24×D8311yescharacteristic
1362Q8—3324no—
1363D4—44no—
1364D4—3324no—
1365D4—3324no—
1366D4—6642no—
1367D4—6642no—
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—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—82no—
1411C2×C4—3324no—
1412C2×C4—3324no—
1413C2×C4—3324no—
1414C2×C4—3324no—
1415C2×C4—3324no—
1416C2×C4—3324no—
1417C2×C4—832no—
1418C2×C4—832no—
1419C2×C4—832no—
1420C2×C4—832no—
1421C2×C4—6642no—
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—1668no—
1456C2×C4—1661no—
1457C2×C4—1661no—
1458C2×C4C2×#1305059012yes—
1459C2×C4C2×#1305059012yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—33216no—
1474C22—3321no—
1475C22—3321no—
1476C22—3321no—
1477C22—3321no—
1478C22—3321no—
1479C22—3321no—
1480C22—3321no—
1481C22—3321no—
1482C22—3321no—
1483C22—3321no—
1484C22—3321no—
1485C22—3321no—
1486C22—3321no—
1487C22—3321no—
1488C22—3321no—
1489C22—1662no—
1490C22—1662no—
1491C22—1662no—
1492C22—1662no—
1493C22—1662no—
1494C22—1662no—
1495C22#1912822914yes—
1496C22C2×#41×D8311yescharacteristic
1497C22C2×#41×D8311yescharacteristic
1498C22C22×#1305059011yescharacteristic
1499C22H(5,𝔽2)×D8311yescharacteristic
1500C22H(5,𝔽2)×D8311yescharacteristic
1501C22#1912853611yescharacteristic
1502C22#1912853811yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—3321no—
1517C4—3321no—
1518C4—3321no—
1519C4—3321no—
1520C4—3321no—
1521C4—3321no—
1522C4—3321no—
1523C4—3321no—
1524C4—3321no—
1525C4—3321no—
1526C4—3321no—
1527C4—834no—
1528C4—1662no—
1529C2—24no—
1530C2—81no—
1531C2—3322no—
1532C2—3322no—
1533C2—6641no—
1534C2C2×#1912822911yescharacteristic
1535C2#538×D8311yescharacteristic
1536C2#2492084911yescharacteristic
1537C2#2492129311yescharacteristic
1538C2#2492129511yescharacteristic
1539C2#2492130111yescharacteristic
1540C2#2492130811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2318C2
prime radical#24915744C2
hypercenter#2318D83
hypocenterC83#35023
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
1. #24915769C2semidirect
2. #24915760C2semidirect
3. #24915749C2semidirect
5. #24913419C2semidirect
6. #24913418C2semidirect
7. #24913241C2semidirect
8. #24913240C2semidirect
9. #24913012C2semidirect
10. #24913010C2semidirect
11. #24912982C2semidirect
12. #24912980C2semidirect
13. #24912795C2semidirect
14. #24912793C2semidirect
15. #24912765C2semidirect
16. #24912763C2semidirect
17. #24911873C2semidirect
18. #24911862C2semidirect
19. #24911814C2semidirect
20. #24911803C2semidirect
21. #24911039C2semidirect
22. #24911028C2semidirect
23. #24910965C2semidirect
24. #24910954C2semidirect
25. #24910123C2semidirect
26. #24910117C2semidirect
27. #24910097C2semidirect
28. C4×#14581769C2semidirect
29. C4×#14581764C2semidirect
30. C2×#19127548C2semidirect
31. C83×#2318C2semidirect
33. C2×#14581782C22semidirect
34. C2×#14581778C22semidirect
43. C2×C4×Dic166C22semidirect
45. C2×C4×C22⋊D83C22semidirect
50. C83⋊#401C22semidirect
51. C83⋊#401C22semidirect
52. #19127643C22semidirect
53. #19127643C22semidirect
54. #19127642C22semidirect
55. #19127641C22semidirect
56. #19127640C22semidirect
57. #19127639C22semidirect
62. #19127630C22semidirect
63. #19127629C22semidirect
64. #19127629C22semidirect
67. #19127628C22semidirect
70. #19127627C22semidirect
71. #19127626C22semidirect
72. #19127624C22semidirect
73. #19127623C22semidirect
82. #19127605C22semidirect
83. #19127605C22semidirect
88. #19127601C22semidirect
89. #19127601C22semidirect
90. #19127598C22semidirect
91. #19127598C22semidirect
92. #19127596C22semidirect
93. #19127596C22semidirect
94. #19127595C22semidirect
95. #19127594C22semidirect
98. #19127593C22semidirect
105. #19127591C22semidirect
106. #19127590C22semidirect
107. #19127590C22semidirect
108. #19127590C22semidirect
109. #19127589C22semidirect
110. #19127588C22semidirect
111. #19127587C22semidirect
112. #19127586C22semidirect
113. #19127584C22semidirect
114. #19127583C22semidirect
115. #19127583C22semidirect
116. #19127583C22semidirect
117. #19127582C22semidirect
142. #19127568C22semidirect
143. #19127565C22semidirect
144. #19127565C22semidirect
145. #19127565C22semidirect
146. #19127563C22semidirect
151. #19127560C22semidirect
156. C4×Dic83⋊C4C22semidirect
157. C4×Dic83⋊C4C22semidirect
158. C4×Dic83⋊C4C22semidirect
159. C4×C4⋊Dic83C22semidirect
160. C4×(C2×D83)⋊C4C22semidirect
162. C4×C22⋊Dic83C22semidirect
173. #388×C83C22semidirect
174. #388×C83C22semidirect
175. #387×C83C22semidirect
176. #387×C83C22semidirect
181. #383×C83C22semidirect
182. #382×C83C22semidirect
183. #381×C83C22semidirect
184. #380×C83C22semidirect
798. #2318D83semidirect
802. C83#35023semidirect
882. #388C2×D83semidirect
883. #388C2×D83semidirect
892. #387C2×D83semidirect
893. #387C2×D83semidirect
923. #383C2×D83semidirect
927. #382C2×D83semidirect
929. #381C2×D83semidirect
937. #380C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249157692
#249157602
#249157492
#249157442
#249134192
#249134182
#249132412
#249132402
#249130122
#249130102
#249129822
#249129802
#249127952
#249127932
#249127652
#249127632
#249118732
#249118622
#249118142
#249118032
#249110392
#249110282
#249109652
#249109542
#249101232
#249101172
#249100972
C4×#145817692
C4×#145817642
C2×#191275482
C83×#23182
#3502383