Finite Group Databasebeta

← C2×#23777554 #35195388

Subgroups — C2×#23777554 #35195388

Order 20224.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777554C2132yesmaximal, direct product factor
2C2×#19099305C211yesmaximal, characteristic, complemented
3C2×#19099301C212yesmaximal, complemented
4C2×#19099300C211yesmaximal, characteristic, complemented
5C2×#19099243C211yesmaximal, characteristic, complemented
6C2×#19099237C212yesmaximal, complemented
7C2×#19099202C212yesmaximal, complemented
8C2×#19099201C212yesmaximal, complemented
9C2×#19099200C212yesmaximal, complemented
10C2×#19099198C211yesmaximal, characteristic, complemented
11C2×#19099195C212yesmaximal, complemented
12C2×#19099148C212yesmaximal, complemented
13C2×#19099147C212yesmaximal, complemented
14C2×#19099145C212yesmaximal, complemented
15C2×#19099126C212yesmaximal, complemented
16C2×#19099122C211yesmaximal, characteristic, complemented
17C2×#19099121C212yesmaximal, complemented
18C22×#14579129C211yesmaximal, characteristic, complemented
19C2×#120×D79C212yesmaximal, complemented
20C2×#535×C79C211yesmaximal, characteristic, complemented
21C25×D79C2211yescharacteristic, complemented
22C22×#11929623C2212yescomplemented
23C23×C22⋊D79C2212yescomplemented
24C23×C22⋊D79C2211yescharacteristic, complemented
25C22×D4×D79C2212yescomplemented
26C22×D4×D79C2212yescomplemented
27C22×D4×D79C2212yescomplemented
28C22×D4×D79C2212yescomplemented
29#19099305C22116yescomplemented
30#19099301C22132yescomplemented
31#19099300C22116yescomplemented
32#19099243C22116yescomplemented
33#19099237C22132yescomplemented
34#19099202C22132yescomplemented
35#19099201C22132yescomplemented
36#19099200C22132yescomplemented
37#19099198C22116yescomplemented
38#19099195C22132yescomplemented
39#19099148C22132yescomplemented
40#19099147C22132yescomplemented
41#19099145C22132yescomplemented
42#19099126C22132yescomplemented
43#19099122C22116yescomplemented
44#19099121C22132yescomplemented
45C2×#14579157C2212yescomplemented
46C2×#14579156C2212yescomplemented
47C2×#14579155C2212yescomplemented
48C2×#14579154C2212yescomplemented
49C2×#14579154C2212yescomplemented
50C2×#14579150C2212yescomplemented
51C2×#14579149C2212yescomplemented
52C2×#14579148C2212yescomplemented
53C2×#14579147C2212yescomplemented
54C2×#14579147C2212yescomplemented
55C2×#14579146C2212yescomplemented
56C2×#14579146C2212yescomplemented
57C2×#14579145C2212yescomplemented
58C2×#14579144C2212yescomplemented
59C2×#14579144C2212yescomplemented
60C2×#14579143C2212yescomplemented
61C2×#14579143C2212yescomplemented
62C2×#14579142C2212yescomplemented
63C2×#14579142C2211yescharacteristic, complemented
64C2×#14579142C2211yescharacteristic, complemented
65C2×#14579139C2212yescomplemented
66C2×#14579138C2212yescomplemented
67C2×#14579137C2212yescomplemented
68C2×#14579135C2212yescomplemented
69C2×#14579134C2212yescomplemented
70C2×#14579134C2212yescomplemented
71C2×#14579133C2212yescomplemented
72C2×#14579133C2212yescomplemented
73C2×#14579133C2212yescomplemented
74C2×#14579133C2212yescomplemented
75C2×#14579133C2212yescomplemented
76C2×#14579133C2212yescomplemented
77C2×#14579133C2212yescomplemented
78C2×#14579133C2212yescomplemented
79C2×#14579132C2212yescomplemented
80C2×#14579132C2212yescomplemented
81C2×#14579131C2212yes—
82C2×#14579131C2212yescomplemented
83C2×#14579131C2212yescomplemented
84C2×#14579131C2212yescomplemented
85C2×#14579130C2212yescomplemented
86C2×#14579129C2211yescharacteristic
87C2×#14579129C2212yescomplemented
88C2×#14579129C2211yescharacteristic, complemented
89C2×#14579129C2212yescomplemented
90C2×#14579129C2212yescomplemented
91C2×#14579129C2212yescomplemented
92C2×#14579129C2212yescomplemented
93C2×#14579129C2211yescharacteristic, complemented
94C2×#14579129C2211yescharacteristic, complemented
95C2×#14579129C2212yescomplemented
96C2×#14579129C2212yescomplemented
97C2×#14579129C2211yescharacteristic, complemented
98C2×#14579129C2211yescharacteristic, complemented
99C2×#14579129C22116yescomplemented
100#120×D79C22132yescomplemented
101C2×C4×D316C2212yescomplemented
102C2×D4×Dic79C2212yescomplemented
103C2×C4×C22⋊D79C2212yescomplemented
104C2×(C22⋊D79)⋊C4C2212yescomplemented
105C2×(C22⋊D79)⋊C4C2212yescomplemented
106C2×(C22⋊D79)⋊C4C2212yescomplemented
107C2×#14579118C2212yescomplemented
108C22×C22⋊Dic79C2211yescharacteristic, complemented
109C22×C22⋊Dic79C2211yescharacteristic, complemented
110C22×(C2×D79)⋊C4C2212yescomplemented
111C22×(C2×D79)⋊C4C2212yescomplemented
112C2×C22⋊C4×D79C2212yescomplemented
113C2×C22⋊C4×D79C2212yescomplemented
114C2×C22⋊C4×D79C2212yescomplemented
115C22×#41×C79C2211yescharacteristic, complemented
116C23×D4×C79C2211yescharacteristic, complemented
117#535×C79C22116yescomplemented
118C2×#127×C79C2211yescharacteristic, complemented
119C2×#127×C79C2211yescharacteristic, complemented
120C2×#124×C79C2211yescharacteristic, complemented
121C2×#124×C79C2211yescharacteristic, complemented
122C2×#121×C79C2212yescomplemented
123C2×#121×C79C2212yescomplemented
124C2×#120×C79C2212yescomplemented
125C2×#120×C79C2212yescomplemented
126C2×#117×C79C2211yescharacteristic, complemented
127C24×D79—48no—
128C24×D79—44no—
129C24×D79C2311yescharacteristic
130C24×D79C2312yes—
131C24×D79C2312yes—
132C24×D79C2312yes—
133C24×D79C2311yescharacteristic
134C24×D79C2318yescomplemented
135C24×D79C2311yescharacteristic, complemented
136C2×#11929623—48no—
137C2×#11929623C23116yescomplemented
138C22×Dic158C2312yescomplemented
139C22×D316C2312yes—
140C22×D316C2312yes—
141C22×D316C2312yes—
142C22×C22⋊D79—48no—
143C22×C22⋊D79—44no—
144C22×C22⋊D79C2312yes—
145C22×C22⋊D79C2312yes—
146C22×C22⋊D79C2312yes—
147C22×C22⋊D79C2312yes—
148C22×C22⋊D79C2312yes—
149C22×C22⋊D79C2312yes—
150C22×C22⋊D79C2312yes—
151C22×C22⋊D79C2312yes—
152C22×C22⋊D79C2312yes—
153C22×C22⋊D79C2312yes—
154C22×C22⋊D79C23116yescomplemented
155C22×C22⋊D79C2312yescomplemented
156C22×C22⋊D79C2312yescomplemented
157C22×C22⋊D79C2318yescomplemented
158C2×D4×D79—48no—
159C2×D4×D79—48no—
160C2×D4×D79—48no—
161C2×D4×D79—48no—
162C2×D4×D79C23116yescomplemented
163C2×D4×D79C23116yescomplemented
164C2×D4×D79C23116yescomplemented
165C2×D4×D79C23116yescomplemented
166C23×Dic79C2312yes—
167C23×Dic79C2312yescomplemented
168C23×Dic79C2312yescomplemented
169C23×Dic79C2311yescharacteristic, complemented
170C22×C4×D79C2312yes—
171C22×C4×D79C2312yes—
172C22×C4×D79C2312yes—
173C22×C4×D79C2312yescomplemented
174#14579157C23116yescomplemented
175#14579156C23116yescomplemented
176#14579155C23116yescomplemented
177#14579154C23116yescomplemented
178#14579154C23116yescomplemented
179#14579150C23116yescomplemented
180#14579149C23116yescomplemented
181#14579148C23116yescomplemented
182#14579147C23116yescomplemented
183#14579147C23116yescomplemented
184#14579146C23116yescomplemented
185#14579146C23116yescomplemented
186#14579145C23116yescomplemented
187#14579144C23116yescomplemented
188#14579144C23116yescomplemented
189#14579143C23116yescomplemented
190#14579143C23116yescomplemented
191#14579142C2318yescomplemented
192#14579142C23116yescomplemented
193#14579142C2318yescomplemented
194#14579139C23116yescomplemented
195#14579138C23116yescomplemented
196#14579137C23116yescomplemented
197#14579135C23116yescomplemented
198#14579134C23116yescomplemented
199#14579134C23116yescomplemented
200#14579133C23116yescomplemented
201#14579133C23116yescomplemented
202#14579133C23116yescomplemented
203#14579133C23116yescomplemented
204#14579133C23116yescomplemented
205#14579133C23116yescomplemented
206#14579133C23116yescomplemented
207#14579133C23116yescomplemented
208#14579132C23116yescomplemented
209#14579132C23116yescomplemented
210#14579131C23116yes—
211#14579131C23116yescomplemented
212#14579131C23116yescomplemented
213#14579131C23116yescomplemented
214#14579130C23116yescomplemented
215#14579129C2318yes—
216#14579129C23116yescomplemented
217#14579129C23116yescomplemented
218#14579129C23116yescomplemented
219#14579129C23116yescomplemented
220#14579129C2318yescomplemented
221#14579129C23116yescomplemented
222#14579129C2318yescomplemented
223#14579129C2318yescomplemented
224#14579129C23116yescomplemented
225#14579129C23116yescomplemented
226#14579129C2318yescomplemented
227#14579129C2318yescomplemented
228C4×D316C23116yescomplemented
229D4×Dic79C23116yescomplemented
230C4×C22⋊D79C23116yescomplemented
231(C22⋊D79)⋊C4C23116yescomplemented
232(C22⋊D79)⋊C4C23116yescomplemented
233(C22⋊D79)⋊C4C23116yescomplemented
234#14579118C23116yescomplemented
235C2×C4⋊Dic79C2312yescomplemented
236C2×C4⋊Dic79C2312yescomplemented
237C2×Dic79⋊C4C2312yescomplemented
238C2×Dic79⋊C4C2312yescomplemented
239C2×Dic79⋊C4C2312yescomplemented
240C2×Dic79⋊C4C2312yescomplemented
241C2×Dic79⋊C4C2312yescomplemented
242C2×Dic79⋊C4C2312yescomplemented
243C2×C22⋊Dic79C2312yes—
244C2×C22⋊Dic79C2312yes—
245C2×C22⋊Dic79C2312yes—
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2312yes—
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2318yescomplemented
250C2×C22⋊Dic79C2318yescomplemented
251C2×C22⋊Dic79C2311yescharacteristic, complemented
252C2×C22⋊Dic79C2311yescharacteristic, complemented
253C2×C22⋊Dic79C2312yescomplemented
254C2×C22⋊Dic79C2312yescomplemented
255C2×(C2×D79)⋊C4C2312yes—
256C2×(C2×D79)⋊C4C2312yes—
257C2×(C2×D79)⋊C4C2312yes—
258C2×(C2×D79)⋊C4C2312yes—
259C2×(C2×D79)⋊C4C2312yes—
260C2×(C2×D79)⋊C4C2312yes—
261C2×(C2×D79)⋊C4C2312yes—
262C2×(C2×D79)⋊C4C2312yes—
263C2×(C2×D79)⋊C4C2312yes—
264C2×(C2×D79)⋊C4C2312yes—
265C2×(C2×D79)⋊C4C23116yescomplemented
266C2×(C2×D79)⋊C4C23116yescomplemented
267C2×(C2×D79)⋊C4C2312yescomplemented
268C2×(C2×D79)⋊C4C2312yescomplemented
269C2×(C2×D79)⋊C4C2312yescomplemented
270C2×(C2×D79)⋊C4C2312yescomplemented
271C22⋊C4×D79C23116yescomplemented
272C22⋊C4×D79C23116yescomplemented
273C22⋊C4×D79C23116yescomplemented
274C2×C4×Dic79C2312yescomplemented
275C2×C4×Dic79C2312yescomplemented
276C25×C79C2311yescharacteristic
277C25×C79C2311yescharacteristic
278C2×#41×C79—44no—
279C2×#41×C79C2318yescomplemented
280C22×Q8×C79C2311yescharacteristic, complemented
281C22×D4×C79—44no—
282C22×D4×C79C2312yes—
283C22×D4×C79C2312yes—
284C22×D4×C79C2312yes—
285C22×D4×C79C2311yescharacteristic
286C22×D4×C79C2311yescharacteristic
287C22×D4×C79C2311yescharacteristic
288C22×D4×C79C2311yescharacteristic
289C22×D4×C79C2318yescomplemented
290C22×D4×C79C2312yescomplemented
291C22×D4×C79C2312yescomplemented
292C22×D4×C79C2311yescharacteristic, complemented
293C23×C4×C79C2311yescharacteristic
294C23×C4×C79C2312yescomplemented
295#127×C79C2318yescomplemented
296#127×C79C2318yescomplemented
297#124×C79C2318yescomplemented
298#124×C79C2318yescomplemented
299#121×C79C23116yescomplemented
300#121×C79C23116yescomplemented
301#120×C79C23116yescomplemented
302#120×C79C23116yescomplemented
303#117×C79C2318yescomplemented
304C2×C4⋊C4×C79C2312yescomplemented
305C2×C22⋊C4×C79C2312yes—
306C2×C22⋊C4×C79C2312yes—
307C2×C22⋊C4×C79C2312yes—
308C2×C22⋊C4×C79C2312yescomplemented
309C2×C22⋊C4×C79C2312yescomplemented
310C2×C42×C79C2311yescharacteristic, complemented
311C2×C42×C79C2311yescharacteristic, complemented
312C23×D79—28no—
313C23×D79—28no—
314C23×D79—28no—
315C23×D79—28no—
316C23×D79—28no—
317C23×D79—432no—
318C23×D79—42no—
319C23×D79—44no—
320C23×D79—44no—
321C23×D79—44no—
322C23×D79—44no—
323C23×D79—42no—
324C23×D79—416no—
325C23×D79—44no—
326C23×D79—44no—
327C23×D79—44no—
328C23×D79—42no—
329C23×D79—464no—
330C23×D79C2412yes—
331C23×D79C2412yes—
332C23×D79C2414yes—
333C23×D79C2418yes—
334C23×D79C2412yes—
335C23×D79C2418yes—
336C23×D79C2418yes—
337C23×D79C2414yes—
338C23×D79C2414yescomplemented
339#11929623—432no—
340C2×Dic158—44no—
341C2×Dic158C2418yescomplemented
342C2×D316—28no—
343C2×D316—44no—
344C2×D316—44no—
345C2×D316C2418yes—
346C2×D316C2418yes—
347C2×D316C2418yes—
348C2×C22⋊D79—28no—
349C2×C22⋊D79—28no—
350C2×C22⋊D79—28no—
351C2×C22⋊D79—28no—
352C2×C22⋊D79—432no—
353C2×C22⋊D79—416no—
354C2×C22⋊D79—44no—
355C2×C22⋊D79—44no—
356C2×C22⋊D79—44no—
357C2×C22⋊D79—44no—
358C2×C22⋊D79—44no—
359C2×C22⋊D79—44no—
360C2×C22⋊D79—44no—
361C2×C22⋊D79—44no—
362C2×C22⋊D79C2418yes—
363C2×C22⋊D79C2418yes—
364C2×C22⋊D79C2418yes—
365C2×C22⋊D79C2418yes—
366C2×C22⋊D79C2418yes—
367C2×C22⋊D79C2418yes—
368C2×C22⋊D79C2418yes—
369C2×C22⋊D79C2418yes—
370C2×C22⋊D79C2418yes—
371C2×C22⋊D79C2418yes—
372C2×C22⋊D79C2418yescomplemented
373C2×C22⋊D79C2418yescomplemented
374D4×D79—432no—
375D4×D79—432no—
376D4×D79—432no—
377D4×D79—432no—
378C22×Dic79—44no—
379C22×Dic79—44no—
380C22×Dic79—44no—
381C22×Dic79—42no—
382C22×Dic79C2412yes—
383C22×Dic79C2412yes—
384C22×Dic79C2412yes—
385C22×Dic79C2412yes—
386C22×Dic79C2412yes—
387C22×Dic79C2418yes—
388C22×Dic79C2418yescomplemented
389C22×Dic79C2418yescomplemented
390C22×Dic79C2414yescomplemented
391C2×C4×D79—28no—
392C2×C4×D79—44no—
393C2×C4×D79—44no—
394C2×C4×D79—44no—
395C2×C4×D79C2418yes—
396C2×C4×D79C2418yes—
397C2×C4×D79C2418yes—
398C2×C4×D79C2418yescomplemented
399C4⋊Dic79C2418yescomplemented
400C4⋊Dic79C2418yescomplemented
401Dic79⋊C4C2418yescomplemented
402Dic79⋊C4C2418yescomplemented
403Dic79⋊C4C2418yescomplemented
404Dic79⋊C4C2418yescomplemented
405Dic79⋊C4C2418yescomplemented
406Dic79⋊C4C2418yescomplemented
407C22⋊Dic79C2418yes—
408C22⋊Dic79C2418yes—
409C22⋊Dic79C2418yes—
410C22⋊Dic79C2414yes—
411C22⋊Dic79C2418yes—
412C22⋊Dic79C2414yes—
413C22⋊Dic79C2414yescomplemented
414C22⋊Dic79C2414yescomplemented
415C22⋊Dic79C2418yescomplemented
416C22⋊Dic79C2418yescomplemented
417(C2×D79)⋊C4C2418yes—
418(C2×D79)⋊C4C2418yes—
419(C2×D79)⋊C4C2418yes—
420(C2×D79)⋊C4C2418yes—
421(C2×D79)⋊C4C2418yes—
422(C2×D79)⋊C4C2418yes—
423(C2×D79)⋊C4C2418yes—
424(C2×D79)⋊C4C2418yes—
425(C2×D79)⋊C4C2418yes—
426(C2×D79)⋊C4C2418yes—
427(C2×D79)⋊C4C2418yescomplemented
428(C2×D79)⋊C4C2418yescomplemented
429(C2×D79)⋊C4C2418yescomplemented
430(C2×D79)⋊C4C2418yescomplemented
431C4×Dic79C2418yescomplemented
432C4×Dic79C2418yescomplemented
433C24×C79—24no—
434C24×C79—24no—
435C24×C79—44no—
436C24×C79—44no—
437C24×C79C2411yescharacteristic
438C24×C79C2411yescharacteristic
439C24×C79C2412yes—
440C24×C79C2411yescharacteristic
441C24×C79C2411yescharacteristic
442C24×C79C2411yescharacteristic
443C24×C79C2414yes—
444C24×C79C2414yes—
445#41×C79—416no—
446C2×Q8×C79—42no—
447C2×Q8×C79C2414yescomplemented
448C2×D4×C79—28no—
449C2×D4×C79—44no—
450C2×D4×C79—42no—
451C2×D4×C79—42no—
452C2×D4×C79—42no—
453C2×D4×C79—42no—
454C2×D4×C79—416no—
455C2×D4×C79—44no—
456C2×D4×C79—44no—
457C2×D4×C79—42no—
458C2×D4×C79—44no—
459C2×D4×C79C2418yes—
460C2×D4×C79C2418yes—
461C2×D4×C79C2418yes—
462C2×D4×C79C2414yes—
463C2×D4×C79C2414yes—
464C2×D4×C79C2414yes—
465C2×D4×C79C2414yes—
466C2×D4×C79C2418yescomplemented
467C2×D4×C79C2418yescomplemented
468C2×D4×C79C2414yescomplemented
469C22×C4×C79—24no—
470C22×C4×C79—44no—
471C22×C4×C79C2412yes—
472C22×C4×C79C2411yescharacteristic
473C22×C4×C79C2412yes—
474C22×C4×C79C2412yes—
475C22×C4×C79C2411yescharacteristic
476C22×C4×C79C2414yes—
477C22×C4×C79C2418yescomplemented
478C4⋊C4×C79C2418yescomplemented
479C22⋊C4×C79C2418yes—
480C22⋊C4×C79C2418yes—
481C22⋊C4×C79C2418yes—
482C22⋊C4×C79C2418yescomplemented
483C22⋊C4×C79C2418yescomplemented
484C42×C79C2414yescomplemented
485C42×C79C2414yescomplemented
486C23×C79—24no—
487C23×C79—24no—
488C23×C79—24no—
489C23×C79—22no—
490C23×C79—24no—
491C23×C79—24no—
492C23×C79—22no—
493C23×C79—24no—
494C23×C79—24no—
495C23×C79—24no—
496C23×C79—28no—
497C23×C79—22no—
498C23×C79—22no—
499C23×C79—28no—
500C23×C79—48no—
501C23×C79—48no—
502C23×C79—416no—
503C23×C79—88no—
504C23×C79H(5,𝔽2)14yes—
505C23×C79C2512yes—
506C23×C79C2512yes—
507C23×C79C2512yes—
508C23×C79C2514yes—
509C23×C79C2512yes—
510C23×C79C2512yes—
511C23×C79C2511yescharacteristic
512C22×D79—24no—
513C22×D79—24no—
514C22×D79—24no—
515C22×D79—216no—
516C22×D79—24no—
517C22×D79—24no—
518C22×D79—24no—
519C22×D79—24no—
520C22×D79—24no—
521C22×D79—216no—
522C22×D79—216no—
523C22×D79—216no—
524C22×D79—216no—
525C22×D79—44no—
526C22×D79—48no—
527C22×D79—48no—
528C22×D79—48no—
529C22×D79—48no—
530C22×D79—44no—
531C22×D79—416no—
532C22×D79—48no—
533C22×D79—48no—
534C22×D79—48no—
535C22×D79—44no—
536C22×D79—432no—
537C22×D79—432no—
538C22×D79—4128no—
539C22×D79—416no—
540C22×D79—816no—
541C22×D79—88no—
542C22×D79H(5,𝔽2)18yes—
543C22×D79C2514yes—
544C22×D79C2514yes—
545C22×D79C2514yes—
546Q8×C79—44no—
547D4×C79—216no—
548D4×C79—48no—
549D4×C79—48no—
550D4×C79—48no—
551D4×C79—48no—
552D4×C79—44no—
553D4×C79—44no—
554D4×C79—44no—
555D4×C79—44no—
556D4×C79—44no—
557C2×C4×C79—24no—
558C2×C4×C79—24no—
559C2×C4×C79—24no—
560C2×C4×C79—22no—
561C2×C4×C79—22no—
562C2×C4×C79—28no—
563C2×C4×C79—48no—
564C2×C4×C79C2514yes—
565C2×C4×C79C2514yes—
566C2×C4×C79C2512yes—
567C2×C4×C79C2512yes—
568C2×C4×C79C2514yes—
569C22⋊D79—216no—
570C22⋊D79—216no—
571C22⋊D79—216no—
572C22⋊D79—216no—
573C22⋊D79—48no—
574C22⋊D79—48no—
575C22⋊D79—48no—
576C22⋊D79—48no—
577C22⋊D79—48no—
578C22⋊D79—48no—
579C22⋊D79—48no—
580C22⋊D79—48no—
581C2×Dic79—24no—
582C2×Dic79—24no—
583C2×Dic79—24no—
584C2×Dic79—24no—
585C2×Dic79—24no—
586C2×Dic79—48no—
587C2×Dic79—44no—
588C2×Dic79—48no—
589C2×Dic79—48no—
590C2×Dic79C2514yes—
591C2×Dic79C2514yes—
592C2×Dic79C2514yes—
593C2×Dic79C2514yes—
594C2×Dic79C2514yes—
595D316—216no—
596D316—48no—
597D316—48no—
598C4×D79—216no—
599C4×D79—48no—
600C4×D79—48no—
601C4×D79—48no—
602Dic158—48no—
603C22×C79—24no—
604C22×C79—28no—
605C22×C79—24no—
606C22×C79—24no—
607C22×C79—24no—
608C22×C79—24no—
609C22×C79—22no—
610C22×C79—24no—
611C22×C79—24no—
612C22×C79—24no—
613C22×C79—22no—
614C22×C79—22no—
615C22×C79—22no—
616C22×C79—416no—
617C22×C79—44no—
618C22×C79—44no—
619C22×C79—48no—
620C22×C79—44no—
621C22×C79—44no—
622C22×C79—88no—
623C22×C79C2×H(5,𝔽2)14yes—
624C22×C79C2×H(5,𝔽2)14yes—
625C22×C79C2×H(5,𝔽2)12yes—
626C22×C79C2611yescharacteristic
627C2×D79—24no—
628C2×D79—24no—
629C2×D79—216no—
630C2×D79—24no—
631C2×D79—24no—
632C2×D79—24no—
633C2×D79—24no—
634C2×D79—24no—
635C2×D79—24no—
636C2×D79—416no—
637C2×D79—432no—
638C2×D79—432no—
639C2×D79—416no—
640C2×D79—48no—
641C2×D79—48no—
642C2×D79—816no—
643C2×D79—88no—
644C2×D79C2×H(5,𝔽2)18yes—
645C4×C79—22no—
646C4×C79—22no—
647C4×C79—24no—
648C4×C79—24no—
649C4×C79—24no—
650Dic79—24no—
651Dic79—24no—
652Dic79—24no—
653Dic79—24no—
654Dic79—24no—
655C2×#3532—791nomaximal, Sylow
656C2×C79—24no—
657C2×C79—42no—
658C2×C79—42no—
659C2×C79—44no—
660C2×C79—42no—
661C2×C79—42no—
662C2×C79#353214yescomplemented
663C2×C79C22×H(5,𝔽2)12yes—
664C2×C79C22×H(5,𝔽2)11yescharacteristic
665D79—28no—
666D79—44no—
667D79—44no—
668#3532—7932no—
669C2×H(3,𝔽4)—791no—
670C2×#560—791no—
671C2×#560—792no—
672C2×#551—791no—
673C2×#551—792no—
674C2×#546—792no—
675C2×#546—792no—
676C2×#546—792no—
677C2×D42—791no—
678C2×D42—792no—
679C2×#538—792no—
680C2×#538—792no—
681C2×#538—792no—
682C2×#535—792no—
683C2×#535D7911yescharacteristic, complemented
684C2×#534—791no—
685C2×#534—792no—
686C22×#120—791no—
687C22×#120—792no—
688C79C2×#353211yescharacteristic, complemented, Sylow
689C26—791no—
690C22×#41—792no—
691C22×#41C2×D7911yescharacteristic, complemented
692C23×D4—792no—
693C23×D4—791no—
694C23×D4—792no—
695C23×D4—792no—
696C23×D4—792no—
697C23×D4—792no—
698C23×D4C2×D7911yescharacteristic, complemented
699H(3,𝔽4)—7916no—
700#560—7916no—
701#560—7932no—
702#551—7916no—
703#551—7932no—
704#546—7932no—
705#546—7932no—
706#546—7932no—
707D42—7916no—
708D42—7932no—
709#538—7932no—
710#538—7932no—
711#538—7932no—
712#535—7932no—
713#535C2×D79116yescomplemented
714#534—7916no—
715#534—7932no—
716C2×#127—792no—
717C2×#127C2×D7911yescharacteristic, complemented
718C2×#127C2×D7911yescharacteristic, complemented
719C2×#126—792no—
720C2×#126—792no—
721C2×#126—792no—
722C2×#126—792no—
723C2×#124—792no—
724C2×#124—792no—
725C2×#124—792no—
726C2×#124—792no—
727C2×#124—792no—
728C2×#124C2×D7911yescharacteristic, complemented
729C2×#124C2×D7911yescharacteristic, complemented
730C2×#123—791no—
731C2×#123—791no—
732C2×#123—792no—
733C2×#123—792no—
734C2×#123—792no—
735C2×#123—792no—
736C2×#123—792no—
737C2×#123—792no—
738C2×#123—792no—
739C2×#123—792no—
740C2×C22⋊Q8—792no—
741C2×C22⋊Q8—792no—
742C2×C22⋊Q8—792no—
743C2×#121—792no—
744C2×#121—792no—
745C2×#121—792no—
746C2×#121—792no—
747C2×#121—792no—
748C2×#121—792no—
749C2×#121—792no—
750C2×#121—792no—
751C2×#121—792no—
752C2×#121—792no—
753C2×#121—792no—
754C2×#121—792no—
755C2×#121—792no—
756C2×#121C2×D7912yescomplemented
757C2×#121C2×D7912yescomplemented
758C2×#120—792no—
759C2×#120—792no—
760C2×#120—792no—
761C2×#120—792no—
762C2×#120—791no—
763C2×#120—792no—
764C2×#120—791no—
765C2×#120—791no—
766C2×#120—792no—
767C2×#120—791no—
768C2×#120—791no—
769C2×#120—791no—
770C2×#120—7916no—
771C2×#120—792no—
772C2×#120—792no—
773C2×#120—7932no—
774C2×#120—792no—
775C2×#120—792no—
776C2×#120—792no—
777C2×#120—792no—
778C2×#120C2×D7912yescomplemented
779C2×#120C2×D7912yescomplemented
780C2×C4×D4—792no—
781C2×C4×D4—792no—
782C2×C4×D4—792no—
783C2×C4×D4—792no—
784C2×C4×D4—792no—
785C2×C4×D4—792no—
786C2×#117—792no—
787C2×#117C2×D7911yescharacteristic, complemented
788C22×C22⋊C4—791no—
789C22×C22⋊C4—791no—
790C22×C22⋊C4—792no—
791C22×C22⋊C4—792no—
792C22×C22⋊C4—792no—
793C22×C22⋊C4—792no—
794C22×C22⋊C4—792no—
795C25—3164no—
796C25—3168no—
797C25—791no—
798C25—798no—
799C25—791no—
800C25—792no—
801C25—792no—
802C25—791no—
803C25—792no—
804C25C22×D7911yescharacteristic
805C25C22×D7911yescharacteristic
806C2×#41—44no—
807C2×#41—3168no—
808C2×#41—7916no—
809C2×#41C22×D7918yescomplemented
810C22×Q8—792no—
811C22×Q8C22×D7911yescharacteristic, complemented
812C22×D4—44no—
813C22×D4—3168no—
814C22×D4—3168no—
815C22×D4—3168no—
816C22×D4—3164no—
817C22×D4—3168no—
818C22×D4—3168no—
819C22×D4—792no—
820C22×D4—792no—
821C22×D4—792no—
822C22×D4—792no—
823C22×D4—792no—
824C22×D4—792no—
825C22×D4—7916no—
826C22×D4—792no—
827C22×D4—792no—
828C22×D4—798no—
829C22×D4—7916no—
830C22×D4—7916no—
831C22×D4—7916no—
832C22×D4—7916no—
833C22×D4—792no—
834C22×D4—792no—
835C22×D4—792no—
836C22×D4—792no—
837C22×D4—792no—
838C22×D4—792no—
839C22×D4—792no—
840C22×D4C22×D7912yes—
841C22×D4C22×D7911yescharacteristic
842C22×D4C22×D7911yescharacteristic
843C22×D4C22×D7911yescharacteristic
844C22×D4C22×D7911yescharacteristic
845C22×D4C22×D7912yes—
846C22×D4C22×D7912yes—
847C22×D4C22×D7918yescomplemented
848C22×D4C22×D7911yescharacteristic, complemented
849C22×D4C22×D7912yescomplemented
850C22×D4C22×D7912yescomplemented
851C23×C4—792no—
852C23×C4—792no—
853C23×C4—792no—
854C23×C4—791no—
855C23×C4—792no—
856C23×C4—792no—
857C23×C4—792no—
858C23×C4—792no—
859C23×C4C22×D7911yescharacteristic
860C23×C4C22×D7912yescomplemented
861#127—7916no—
862#127C22×D7918yescomplemented
863#127C22×D7918yescomplemented
864#126—7916no—
865#126—7916no—
866#126—7916no—
867#126—7916no—
868#124—7916no—
869#124—7916no—
870#124—7916no—
871#124—7916no—
872#124—7916no—
873#124C22×D7918yescomplemented
874#124C22×D7918yescomplemented
875#123—798no—
876#123—798no—
877#123—7916no—
878#123—7916no—
879#123—7916no—
880#123—7916no—
881#123—7916no—
882#123—7916no—
883#123—7916no—
884#123—7916no—
885C22⋊Q8—7916no—
886C22⋊Q8—7916no—
887C22⋊Q8—7916no—
888#121—7916no—
889#121—7916no—
890#121—7916no—
891#121—7916no—
892#121—7916no—
893#121—7916no—
894#121—7916no—
895#121—7916no—
896#121—7916no—
897#121—7916no—
898#121—7916no—
899#121—7916no—
900#121—7916no—
901#121C22×D79116yescomplemented
902#121C22×D79116yescomplemented
903#120—7916no—
904#120—7916no—
905#120—7916no—
906#120—7916no—
907#120—798no—
908#120—7916no—
909#120—798no—
910#120—798no—
911#120—7916no—
912#120—798no—
913#120—798no—
914#120—798no—
915#120—7916no—
916#120—7916no—
917#120—7916no—
918#120—7916no—
919#120—7916no—
920#120—7916no—
921#120C22×D79116yescomplemented
922#120C22×D79116yescomplemented
923C4×D4—7916no—
924C4×D4—7916no—
925C4×D4—7916no—
926C4×D4—7916no—
927C4×D4—7916no—
928C4×D4—7916no—
929#117—7916no—
930#117C22×D7918yescomplemented
931C2×C4⋊C4—792no—
932C2×C4⋊C4—792no—
933C2×C4⋊C4—792no—
934C2×C4⋊C4—792no—
935C2×C4⋊C4—792no—
936C2×C4⋊C4—792no—
937C2×C4⋊C4—792no—
938C2×C4⋊C4—792no—
939C2×C4⋊C4C22×D7912yescomplemented
940C2×C22⋊C4—792no—
941C2×C22⋊C4—791no—
942C2×C22⋊C4—792no—
943C2×C22⋊C4—792no—
944C2×C22⋊C4—792no—
945C2×C22⋊C4—791no—
946C2×C22⋊C4—798no—
947C2×C22⋊C4—791no—
948C2×C22⋊C4—791no—
949C2×C22⋊C4—798no—
950C2×C22⋊C4—792no—
951C2×C22⋊C4—792no—
952C2×C22⋊C4—792no—
953C2×C22⋊C4—792no—
954C2×C22⋊C4—792no—
955C2×C22⋊C4—792no—
956C2×C22⋊C4—792no—
957C2×C22⋊C4—792no—
958C2×C22⋊C4—792no—
959C2×C22⋊C4—792no—
960C2×C22⋊C4—792no—
961C2×C22⋊C4—792no—
962C2×C22⋊C4—7916no—
963C2×C22⋊C4—792no—
964C2×C22⋊C4—792no—
965C2×C22⋊C4—792no—
966C2×C22⋊C4—792no—
967C2×C22⋊C4—7916no—
968C2×C22⋊C4—7916no—
969C2×C22⋊C4—7916no—
970C2×C22⋊C4—7916no—
971C2×C22⋊C4C22×D7912yes—
972C2×C22⋊C4C22×D7912yes—
973C2×C22⋊C4C22×D7912yes—
974C2×C22⋊C4C22×D7912yescomplemented
975C2×C22⋊C4C22×D7912yescomplemented
976C2×C42—792no—
977C2×C42—792no—
978C2×C42C22×D7911yescharacteristic, complemented
979C2×C42C22×D7911yescharacteristic, complemented
980C24—24no—
981C24—24no—
982C24—44no—
983C24—44no—
984C24—3164no—
985C24—3164no—
986C24—3164no—
987C24—3162no—
988C24—31616no—
989C24—3164no—
990C24—3162no—
991C24—3164no—
992C24—3164no—
993C24—3164no—
994C24—3162no—
995C24—31664no—
996C24—31632no—
997C24—794no—
998C24—794no—
999C24—798no—
1000C24—798no—
1001C24—794no—
1002C24—798no—
1003C24—792no—
1004C24—792no—
1005C24—792no—
1006C24—1588no—
1007C24—1588no—
1008C24—1588no—
1009C24—1588no—
1010C24—1588no—
1011C24C23×D7911yescharacteristic
1012C24C23×D7911yescharacteristic
1013C24C23×D7911yescharacteristic
1014C24C23×D7912yes—
1015C24C23×D7911yescharacteristic
1016C24C23×D7911yescharacteristic
1017C24C23×D7914yes—
1018C24C23×D7914yes—
1019#41—416no—
1020#41—31632no—
1021C2×Q8—42no—
1022C2×Q8—3164no—
1023C2×Q8—798no—
1024C2×Q8C23×D7914yescomplemented
1025C2×D4—28no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—416no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—42no—
1035C2×D4—44no—
1036C2×D4—3164no—
1037C2×D4—3164no—
1038C2×D4—31632no—
1039C2×D4—31632no—
1040C2×D4—31632no—
1041C2×D4—31616no—
1042C2×D4—31632no—
1043C2×D4—31632no—
1044C2×D4—3164no—
1045C2×D4—3164no—
1046C2×D4—3164no—
1047C2×D4—3164no—
1048C2×D4—3164no—
1049C2×D4—3164no—
1050C2×D4—3164no—
1051C2×D4—3164no—
1052C2×D4—798no—
1053C2×D4—798no—
1054C2×D4—798no—
1055C2×D4—798no—
1056C2×D4—798no—
1057C2×D4—798no—
1058C2×D4—798no—
1059C2×D4—798no—
1060C2×D4—798no—
1061C2×D4—798no—
1062C2×D4—798no—
1063C2×D4—798no—
1064C2×D4—798no—
1065C2×D4—798no—
1066C2×D4—798no—
1067C2×D4—1588no—
1068C2×D4—1588no—
1069C2×D4—1588no—
1070C2×D4—1588no—
1071C2×D4—1588no—
1072C2×D4C23×D7918yes—
1073C2×D4C23×D7914yes—
1074C2×D4C23×D7914yes—
1075C2×D4C23×D7914yes—
1076C2×D4C23×D7914yes—
1077C2×D4C23×D7918yes—
1078C2×D4C23×D7918yes—
1079C2×D4C23×D7914yescomplemented
1080C2×D4C23×D7918yescomplemented
1081C2×D4C23×D7918yescomplemented
1082C22×C4—24no—
1083C22×C4—44no—
1084C22×C4—3164no—
1085C22×C4—3164no—
1086C22×C4—3164no—
1087C22×C4—3164no—
1088C22×C4—3162no—
1089C22×C4—3164no—
1090C22×C4—3164no—
1091C22×C4—798no—
1092C22×C4—798no—
1093C22×C4—798no—
1094C22×C4—794no—
1095C22×C4—798no—
1096C22×C4—798no—
1097C22×C4—798no—
1098C22×C4—792no—
1099C22×C4—792no—
1100C22×C4—792no—
1101C22×C4—792no—
1102C22×C4—792no—
1103C22×C4—798no—
1104C22×C4—1588no—
1105C22×C4C23×D7914yes—
1106C22×C4C23×D7912yes—
1107C22×C4C23×D7912yes—
1108C22×C4C23×D7911yescharacteristic
1109C22×C4C23×D7912yes—
1110C22×C4C23×D7911yescharacteristic
1111C22×C4C23×D7918yescomplemented
1112C4⋊C4—798no—
1113C4⋊C4—798no—
1114C4⋊C4—798no—
1115C4⋊C4—798no—
1116C4⋊C4—798no—
1117C4⋊C4—798no—
1118C4⋊C4—798no—
1119C4⋊C4—798no—
1120C4⋊C4C23×D7918yescomplemented
1121C22⋊C4—798no—
1122C22⋊C4—794no—
1123C22⋊C4—798no—
1124C22⋊C4—798no—
1125C22⋊C4—798no—
1126C22⋊C4—794no—
1127C22⋊C4—794no—
1128C22⋊C4—794no—
1129C22⋊C4—798no—
1130C22⋊C4—798no—
1131C22⋊C4—798no—
1132C22⋊C4—798no—
1133C22⋊C4—798no—
1134C22⋊C4—798no—
1135C22⋊C4—798no—
1136C22⋊C4—798no—
1137C22⋊C4—798no—
1138C22⋊C4—798no—
1139C22⋊C4—798no—
1140C22⋊C4—798no—
1141C22⋊C4—798no—
1142C22⋊C4—798no—
1143C22⋊C4—798no—
1144C22⋊C4—798no—
1145C22⋊C4C23×D7918yes—
1146C22⋊C4C23×D7918yes—
1147C22⋊C4C23×D7918yes—
1148C22⋊C4C23×D7918yescomplemented
1149C22⋊C4C23×D7918yescomplemented
1150C42—798no—
1151C42—798no—
1152C42C23×D7914yescomplemented
1153C42C23×D7914yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—24no—
1157C23—24no—
1158C23—24no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—22no—
1163C23—22no—
1164C23—28no—
1165C23—22no—
1166C23—22no—
1167C23—28no—
1168C23—48no—
1169C23—48no—
1170C23—416no—
1171C23—88no—
1172C23—31632no—
1173C23—3168no—
1174C23—3168no—
1175C23—3168no—
1176C23—3164no—
1177C23—3168no—
1178C23—3164no—
1179C23—3168no—
1180C23—3168no—
1181C23—3168no—
1182C23—3164no—
1183C23—316128no—
1184C23—31616no—
1185C23—31632no—
1186C23—31616no—
1187C23—798no—
1188C23—794no—
1189C23—794no—
1190C23—794no—
1191C23—6328no—
1192C23—63216no—
1193C23—15816no—
1194C23—15816no—
1195C23—15816no—
1196C23—15816no—
1197C23—1584no—
1198C23—1584no—
1199C23—1584no—
1200C23—1584no—
1201C23—1584no—
1202C23—15816no—
1203C23—1584no—
1204C23—1584no—
1205C23—1584no—
1206C23#1457920614yes—
1207C23C24×D7912yes—
1208C23C24×D7912yes—
1209C23C24×D7912yes—
1210C23C24×D7914yes—
1211C23C24×D7912yes—
1212C23C24×D7912yes—
1213C23C24×D7911yescharacteristic
1214Q8—44no—
1215Q8—3168no—
1216D4—216no—
1217D4—44no—
1218D4—44no—
1219D4—44no—
1220D4—44no—
1221D4—48no—
1222D4—48no—
1223D4—48no—
1224D4—44no—
1225D4—48no—
1226D4—3168no—
1227D4—3168no—
1228D4—3168no—
1229D4—3168no—
1230D4—3168no—
1231D4—3168no—
1232D4—3168no—
1233D4—3168no—
1234D4—3168no—
1235D4—3168no—
1236D4—15816no—
1237D4—15816no—
1238D4—15816no—
1239D4—15816no—
1240D4—15816no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—28no—
1246C2×C4—24no—
1247C2×C4—48no—
1248C2×C4—3168no—
1249C2×C4—3168no—
1250C2×C4—3168no—
1251C2×C4—3168no—
1252C2×C4—3164no—
1253C2×C4—3168no—
1254C2×C4—3168no—
1255C2×C4—794no—
1256C2×C4—794no—
1257C2×C4—794no—
1258C2×C4—794no—
1259C2×C4—794no—
1260C2×C4—15816no—
1261C2×C4—1584no—
1262C2×C4—1584no—
1263C2×C4—1584no—
1264C2×C4—1584no—
1265C2×C4—1584no—
1266C2×C4C24×D7914yes—
1267C2×C4C24×D7914yes—
1268C2×C4C24×D7912yes—
1269C2×C4C24×D7914yes—
1270C2×C4C24×D7912yes—
1271C22—28no—
1272C22—24no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—22no—
1281C22—22no—
1282C22—22no—
1283C22—22no—
1284C22—416no—
1285C22—44no—
1286C22—44no—
1287C22—44no—
1288C22—44no—
1289C22—48no—
1290C22—88no—
1291C22—31632no—
1292C22—31616no—
1293C22—31632no—
1294C22—31616no—
1295C22—3168no—
1296C22—3168no—
1297C22—798no—
1298C22—6328no—
1299C22—63216no—
1300C22—1584no—
1301C22—1584no—
1302C22—1584no—
1303C22—1584no—
1304C22—1584no—
1305C22—1584no—
1306C22—15816no—
1307C22—1584no—
1308C22—1584no—
1309C22H(5,𝔽2)×D7914yes—
1310C22C2×#1457920614yes—
1311C22C2×#1457920612yes—
1312C22C25×D7911yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—22no—
1316C4—22no—
1317C4—24no—
1318C4—1584no—
1319C4—1584no—
1320C4—1584no—
1321C4—1584no—
1322C4—1584no—
1323C2—24no—
1324C2—42no—
1325C2—42no—
1326C2—42no—
1327C2—42no—
1328C2—44no—
1329C2—3164no—
1330C2—3164no—
1331C2—1588no—
1332C2#2377755414yesdirect product factor
1333C2C2×H(5,𝔽2)×D7912yes—
1334C2C22×#1457920611yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#535×C79C2
socleC23×C79C25
hypercenterC2×#535D79
hypocenterC79C2×#3532
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. #23777554C2direct (N × H)
2. C2×#19099305C2semidirect
3. C2×#19099301C2semidirect
4. C2×#19099300C2semidirect
5. C2×#19099243C2semidirect
6. C2×#19099237C2semidirect
7. C2×#19099202C2semidirect
8. C2×#19099201C2semidirect
9. C2×#19099200C2semidirect
10. C2×#19099198C2semidirect
11. C2×#19099195C2semidirect
12. C2×#19099148C2semidirect
13. C2×#19099147C2semidirect
14. C2×#19099145C2semidirect
15. C2×#19099126C2semidirect
16. C2×#19099122C2semidirect
17. C2×#19099121C2semidirect
18. C22×#14579129C2semidirect
19. C2×#120×D79C2semidirect
20. C2×#535×C79C2semidirect
21. C25×D79C22semidirect
22. C22×#11929623C22semidirect
23. C23×C22⋊D79C22semidirect
24. C23×C22⋊D79C22semidirect
25. C22×D4×D79C22semidirect
26. C22×D4×D79C22semidirect
27. C22×D4×D79C22semidirect
28. C22×D4×D79C22semidirect
29. #19099305C22semidirect
30. #19099301C22semidirect
31. #19099300C22semidirect
32. #19099243C22semidirect
33. #19099237C22semidirect
34. #19099202C22semidirect
35. #19099201C22semidirect
36. #19099200C22semidirect
37. #19099198C22semidirect
38. #19099195C22semidirect
39. #19099148C22semidirect
40. #19099147C22semidirect
41. #19099145C22semidirect
42. #19099126C22semidirect
43. #19099122C22semidirect
44. #19099121C22semidirect
45. C2×#14579157C22semidirect
46. C2×#14579156C22semidirect
47. C2×#14579155C22semidirect
48. C2×#14579154C22semidirect
49. C2×#14579154C22semidirect
50. C2×#14579150C22semidirect
51. C2×#14579149C22semidirect
52. C2×#14579148C22semidirect
53. C2×#14579147C22semidirect
54. C2×#14579147C22semidirect
55. C2×#14579146C22semidirect
56. C2×#14579146C22semidirect
57. C2×#14579145C22semidirect
58. C2×#14579144C22semidirect
59. C2×#14579144C22semidirect
60. C2×#14579143C22semidirect
61. C2×#14579143C22semidirect
62. C2×#14579142C22semidirect
63. C2×#14579142C22semidirect
64. C2×#14579142C22semidirect
65. C2×#14579139C22semidirect
66. C2×#14579138C22semidirect
67. C2×#14579137C22semidirect
68. C2×#14579135C22semidirect
69. C2×#14579134C22semidirect
70. C2×#14579134C22semidirect
71. C2×#14579133C22semidirect
72. C2×#14579133C22semidirect
73. C2×#14579133C22semidirect
74. C2×#14579133C22semidirect
75. C2×#14579133C22semidirect
76. C2×#14579133C22semidirect
77. C2×#14579133C22semidirect
78. C2×#14579133C22semidirect
79. C2×#14579132C22semidirect
80. C2×#14579132C22semidirect
82. C2×#14579131C22semidirect
83. C2×#14579131C22semidirect
84. C2×#14579131C22semidirect
85. C2×#14579130C22semidirect
87. C2×#14579129C22semidirect
88. C2×#14579129C22semidirect
89. C2×#14579129C22semidirect
90. C2×#14579129C22semidirect
91. C2×#14579129C22semidirect
92. C2×#14579129C22semidirect
93. C2×#14579129C22semidirect
94. C2×#14579129C22semidirect
95. C2×#14579129C22semidirect
96. C2×#14579129C22semidirect
97. C2×#14579129C22semidirect
98. C2×#14579129C22semidirect
99. C2×#14579129C22semidirect
100. #120×D79C22semidirect
101. C2×C4×D316C22semidirect
102. C2×D4×Dic79C22semidirect
103. C2×C4×C22⋊D79C22semidirect
104. C2×(C22⋊D79)⋊C4C22semidirect
105. C2×(C22⋊D79)⋊C4C22semidirect
106. C2×(C22⋊D79)⋊C4C22semidirect
107. C2×#14579118C22semidirect
108. C22×C22⋊Dic79C22semidirect
109. C22×C22⋊Dic79C22semidirect
110. C22×(C2×D79)⋊C4C22semidirect
111. C22×(C2×D79)⋊C4C22semidirect
112. C2×C22⋊C4×D79C22semidirect
113. C2×C22⋊C4×D79C22semidirect
114. C2×C22⋊C4×D79C22semidirect
115. C22×#41×C79C22semidirect
116. C23×D4×C79C22semidirect
117. #535×C79C22semidirect
118. C2×#127×C79C22semidirect
119. C2×#127×C79C22semidirect
120. C2×#124×C79C22semidirect
121. C2×#124×C79C22semidirect
122. C2×#121×C79C22semidirect
123. C2×#121×C79C22semidirect
124. C2×#120×C79C22semidirect
125. C2×#120×C79C22semidirect
126. C2×#117×C79C22semidirect
134. C24×D79C23semidirect
135. C24×D79C23semidirect
137. C2×#11929623C23semidirect
138. C22×Dic158C23semidirect
154. C22×C22⋊D79C23semidirect
155. C22×C22⋊D79C23semidirect
156. C22×C22⋊D79C23semidirect
157. C22×C22⋊D79C23semidirect
162. C2×D4×D79C23semidirect
163. C2×D4×D79C23semidirect
164. C2×D4×D79C23semidirect
165. C2×D4×D79C23semidirect
167. C23×Dic79C23semidirect
168. C23×Dic79C23semidirect
169. C23×Dic79C23semidirect
173. C22×C4×D79C23semidirect
174. #14579157C23semidirect
175. #14579156C23semidirect
176. #14579155C23semidirect
177. #14579154C23semidirect
178. #14579154C23semidirect
179. #14579150C23semidirect
180. #14579149C23semidirect
181. #14579148C23semidirect
182. #14579147C23semidirect
183. #14579147C23semidirect
184. #14579146C23semidirect
185. #14579146C23semidirect
186. #14579145C23semidirect
187. #14579144C23semidirect
188. #14579144C23semidirect
189. #14579143C23semidirect
190. #14579143C23semidirect
191. #14579142C23semidirect
192. #14579142C23semidirect
193. #14579142C23semidirect
194. #14579139C23semidirect
195. #14579138C23semidirect
196. #14579137C23semidirect
197. #14579135C23semidirect
198. #14579134C23semidirect
199. #14579134C23semidirect
200. #14579133C23semidirect
201. #14579133C23semidirect
202. #14579133C23semidirect
203. #14579133C23semidirect
204. #14579133C23semidirect
205. #14579133C23semidirect
206. #14579133C23semidirect
207. #14579133C23semidirect
208. #14579132C23semidirect
209. #14579132C23semidirect
211. #14579131C23semidirect
212. #14579131C23semidirect
213. #14579131C23semidirect
214. #14579130C23semidirect
216. #14579129C23semidirect
217. #14579129C23semidirect
218. #14579129C23semidirect
219. #14579129C23semidirect
220. #14579129C23semidirect
221. #14579129C23semidirect
222. #14579129C23semidirect
223. #14579129C23semidirect
224. #14579129C23semidirect
225. #14579129C23semidirect
226. #14579129C23semidirect
227. #14579129C23semidirect
228. C4×D316C23semidirect
229. D4×Dic79C23semidirect
230. C4×C22⋊D79C23semidirect
231. (C22⋊D79)⋊C4C23semidirect
232. (C22⋊D79)⋊C4C23semidirect
233. (C22⋊D79)⋊C4C23semidirect
234. #14579118C23semidirect
235. C2×C4⋊Dic79C23semidirect
236. C2×C4⋊Dic79C23semidirect
237. C2×Dic79⋊C4C23semidirect
238. C2×Dic79⋊C4C23semidirect
239. C2×Dic79⋊C4C23semidirect
240. C2×Dic79⋊C4C23semidirect
241. C2×Dic79⋊C4C23semidirect
242. C2×Dic79⋊C4C23semidirect
249. C2×C22⋊Dic79C23semidirect
250. C2×C22⋊Dic79C23semidirect
251. C2×C22⋊Dic79C23semidirect
252. C2×C22⋊Dic79C23semidirect
253. C2×C22⋊Dic79C23semidirect
254. C2×C22⋊Dic79C23semidirect
265. C2×(C2×D79)⋊C4C23semidirect
266. C2×(C2×D79)⋊C4C23semidirect
267. C2×(C2×D79)⋊C4C23semidirect
268. C2×(C2×D79)⋊C4C23semidirect
269. C2×(C2×D79)⋊C4C23semidirect
270. C2×(C2×D79)⋊C4C23semidirect
271. C22⋊C4×D79C23semidirect
272. C22⋊C4×D79C23semidirect
273. C22⋊C4×D79C23semidirect
274. C2×C4×Dic79C23semidirect
275. C2×C4×Dic79C23semidirect
279. C2×#41×C79C23semidirect
280. C22×Q8×C79C23semidirect
289. C22×D4×C79C23semidirect
290. C22×D4×C79C23semidirect
291. C22×D4×C79C23semidirect
292. C22×D4×C79C23semidirect
294. C23×C4×C79C23semidirect
295. #127×C79C23semidirect
296. #127×C79C23semidirect
297. #124×C79C23semidirect
298. #124×C79C23semidirect
299. #121×C79C23semidirect
300. #121×C79C23semidirect
301. #120×C79C23semidirect
302. #120×C79C23semidirect
303. #117×C79C23semidirect
304. C2×C4⋊C4×C79C23semidirect
308. C2×C22⋊C4×C79C23semidirect
309. C2×C22⋊C4×C79C23semidirect
310. C2×C42×C79C23semidirect
311. C2×C42×C79C23semidirect
338. C23×D79C24semidirect
341. C2×Dic158C24semidirect
372. C2×C22⋊D79C24semidirect
373. C2×C22⋊D79C24semidirect
388. C22×Dic79C24semidirect
389. C22×Dic79C24semidirect
390. C22×Dic79C24semidirect
398. C2×C4×D79C24semidirect
399. C4⋊Dic79C24semidirect
400. C4⋊Dic79C24semidirect
401. Dic79⋊C4C24semidirect
402. Dic79⋊C4C24semidirect
403. Dic79⋊C4C24semidirect
404. Dic79⋊C4C24semidirect
405. Dic79⋊C4C24semidirect
406. Dic79⋊C4C24semidirect
413. C22⋊Dic79C24semidirect
414. C22⋊Dic79C24semidirect
415. C22⋊Dic79C24semidirect
416. C22⋊Dic79C24semidirect
427. (C2×D79)⋊C4C24semidirect
428. (C2×D79)⋊C4C24semidirect
429. (C2×D79)⋊C4C24semidirect
430. (C2×D79)⋊C4C24semidirect
431. C4×Dic79C24semidirect
432. C4×Dic79C24semidirect
447. C2×Q8×C79C24semidirect
466. C2×D4×C79C24semidirect
467. C2×D4×C79C24semidirect
468. C2×D4×C79C24semidirect
477. C22×C4×C79C24semidirect
478. C4⋊C4×C79C24semidirect
482. C22⋊C4×C79C24semidirect
483. C22⋊C4×C79C24semidirect
484. C42×C79C24semidirect
485. C42×C79C24semidirect
662. C2×C79#3532semidirect
683. C2×#535D79semidirect
688. C79C2×#3532semidirect
691. C22×#41C2×D79semidirect
698. C23×D4C2×D79semidirect
713. #535C2×D79semidirect
717. C2×#127C2×D79semidirect
718. C2×#127C2×D79semidirect
728. C2×#124C2×D79semidirect
729. C2×#124C2×D79semidirect
756. C2×#121C2×D79semidirect
757. C2×#121C2×D79semidirect
778. C2×#120C2×D79semidirect
779. C2×#120C2×D79semidirect
787. C2×#117C2×D79semidirect
809. C2×#41C22×D79semidirect
811. C22×Q8C22×D79semidirect
847. C22×D4C22×D79semidirect
848. C22×D4C22×D79semidirect
849. C22×D4C22×D79semidirect
850. C22×D4C22×D79semidirect
860. C23×C4C22×D79semidirect
862. #127C22×D79semidirect
863. #127C22×D79semidirect
873. #124C22×D79semidirect
874. #124C22×D79semidirect
901. #121C22×D79semidirect
902. #121C22×D79semidirect
921. #120C22×D79semidirect
922. #120C22×D79semidirect
930. #117C22×D79semidirect
939. C2×C4⋊C4C22×D79semidirect
974. C2×C22⋊C4C22×D79semidirect
975. C2×C22⋊C4C22×D79semidirect
978. C2×C42C22×D79semidirect
979. C2×C42C22×D79semidirect
1024. C2×Q8C23×D79semidirect
1079. C2×D4C23×D79semidirect
1080. C2×D4C23×D79semidirect
1081. C2×D4C23×D79semidirect
1111. C22×C4C23×D79semidirect
1120. C4⋊C4C23×D79semidirect
1148. C22⋊C4C23×D79semidirect
1149. C22⋊C4C23×D79semidirect
1152. C42C23×D79semidirect
1153. C42C23×D79semidirect
1332. C2#23777554direct (N × H)

Maximal subgroups

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

subgroupindex
#237775542
C2×#190993052
C2×#190993012
C2×#190993002
C2×#190992432
C2×#190992372
C2×#190992022
C2×#190992012
C2×#190992002
C2×#190991982
C2×#190991952
C2×#190991482
C2×#190991472
C2×#190991452
C2×#190991262
C2×#190991222
C2×#190991212
C22×#145791292
C2×#120×D792
C2×#535×C792
C2×#353279