Finite Group Databasebeta

← C2×#23777552 #35195389

Subgroups — C2×#23777552 #35195389

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#23777552C2132yesmaximal, direct product factor
2C2×#19099306C211yesmaximal, characteristic, complemented
3C2×#19099303C211yesmaximal, characteristic, complemented
4C2×#19099301C212yesmaximal, complemented
5C2×#19099241C211yesmaximal, characteristic, complemented
6C2×#19099236C212yesmaximal, complemented
7C2×#19099210C212yesmaximal, complemented
8C2×#19099205C212yesmaximal, complemented
9C2×#19099203C212yesmaximal, complemented
10C2×D4×C22⋊D79C212yesmaximal, complemented
11C2×#19099195C211yesmaximal, characteristic, complemented
12C2×#19099149C212yesmaximal, complemented
13C2×#19099148C212yesmaximal, complemented
14C2×#19099145C212yesmaximal, complemented
15C2×#19099130C211yesmaximal, characteristic, complemented
16C2×#19099129C212yesmaximal, complemented
17C2×#19099123C212yesmaximal, complemented
18C22×#14579129C211yesmaximal, characteristic, complemented
19C2×#120×D79C212yesmaximal, complemented
20C2×#534×C79C211yesmaximal, characteristic, complemented
21C25×D79C2211yescharacteristic, complemented
22C22×#11929624C2211yescharacteristic, complemented
23C22×#11929624C2212yescomplemented
24C23×C22⋊D79C2212yescomplemented
25C23×C22⋊D79C2212yescomplemented
26C22×D4×D79C2212yescomplemented
27C22×D4×D79C2212yescomplemented
28C22×D4×D79C2212yescomplemented
29#19099306C22116yescomplemented
30#19099303C22116yescomplemented
31#19099301C22132yescomplemented
32#19099241C22116yescomplemented
33#19099236C22132yescomplemented
34#19099210C22132yescomplemented
35#19099205C22132yescomplemented
36#19099203C22132yescomplemented
37D4×C22⋊D79C22132yescomplemented
38#19099195C22116yescomplemented
39#19099149C22132yescomplemented
40#19099148C22132yescomplemented
41#19099145C22132yescomplemented
42#19099130C22116yescomplemented
43#19099129C22132yescomplemented
44#19099123C22132yescomplemented
45C2×#14579157C2211yescharacteristic, complemented
46C2×#14579157C2211yescharacteristic, complemented
47C2×#14579157C2212yescomplemented
48C2×#14579156C2212yescomplemented
49C2×#14579156C2212yescomplemented
50C2×#14579154C2212yescomplemented
51C2×#14579154C2212yescomplemented
52C2×#14579148C2212yescomplemented
53C2×#14579148C2211yescharacteristic, complemented
54C2×#14579148C2211yescharacteristic, complemented
55C2×#14579147C2212yescomplemented
56C2×#14579147C2212yescomplemented
57C2×#14579147C2212yescomplemented
58C2×#14579147C2212yescomplemented
59C2×#14579146C2212yescomplemented
60C2×#14579145C2212yescomplemented
61C2×#14579144C2212yescomplemented
62C2×#14579143C2212yescomplemented
63C2×#14579143C2212yescomplemented
64C2×#14579143C2212yescomplemented
65C2×#14579142C2212yescomplemented
66C2×#14579141C2212yescomplemented
67C2×#14579139C2212yescomplemented
68C2×#14579138C2212yescomplemented
69C2×#14579136C2212yescomplemented
70C2×#14579135C2212yescomplemented
71C2×#14579135C2212yescomplemented
72C2×#14579134C2212yescomplemented
73C2×#14579134C2212yescomplemented
74C2×#14579134C2212yescomplemented
75C2×#14579133C2212yescomplemented
76C2×#14579133C2212yescomplemented
77C2×#14579133C2212yescomplemented
78C2×#14579132C2212yescomplemented
79C2×#14579132C2212yescomplemented
80C2×#14579132C2212yescomplemented
81C2×#14579132C2212yescomplemented
82C2×#14579131C2212yescomplemented
83C2×#14579131C2212yescomplemented
84C2×#14579131C2212yescomplemented
85C2×#14579131C2212yescomplemented
86C2×#14579130C2212yescomplemented
87C2×#14579130C2212yescomplemented
88C2×#14579130C2212yescomplemented
89C2×#14579129C2211yescharacteristic
90C2×#14579129C2212yes—
91C2×#14579129C2211yescharacteristic, complemented
92C2×#14579129C2212yescomplemented
93C2×#14579129C2212yescomplemented
94C2×#14579129C2212yescomplemented
95C2×#14579129C2212yescomplemented
96C2×#14579129C2211yescharacteristic, complemented
97C2×#14579129C2211yescharacteristic, complemented
98C2×#14579129C2212yescomplemented
99C2×#14579129C22116yescomplemented
100#120×D79C22132yescomplemented
101C2×D4×Dic79C2212yescomplemented
102C2×#14579123C2212yescomplemented
103C2×C4×C22⋊D79C2212yescomplemented
104C2×C4×C22⋊D79C2212yescomplemented
105C2×(C22⋊D79)⋊C4C2212yescomplemented
106C2×(C22⋊D79)⋊C4C2212yescomplemented
107C2×#14579120C2211yescharacteristic, complemented
108C2×#14579119C2212yescomplemented
109C22×C22⋊Dic79C2211yescharacteristic, complemented
110C22×(C2×D79)⋊C4C2212yescomplemented
111C2×C22⋊C4×D79C2212yescomplemented
112C2×C22⋊C4×D79C2212yescomplemented
113C2×C22⋊C4×D79C2212yescomplemented
114C2×C22⋊C4×D79C2212yescomplemented
115C23×D4×C79C2211yescharacteristic, complemented
116C23×D4×C79C2211yescharacteristic, complemented
117#534×C79C22116yescomplemented
118C2×#123×C79C2211yescharacteristic, complemented
119C2×#123×C79C2211yescharacteristic, complemented
120C2×#123×C79C2212yescomplemented
121C2×#121×C79C2212yescomplemented
122C2×#121×C79C2212yescomplemented
123C2×#120×C79C2212yescomplemented
124C2×#120×C79C2211yescharacteristic, complemented
125C2×#120×C79C2211yescharacteristic, complemented
126C22×C22⋊C4×C79C2211yescharacteristic, complemented
127C24×D79—48no—
128C24×D79—44no—
129C24×D79C2311yescharacteristic
130C24×D79C2312yes—
131C24×D79C2312yes—
132C24×D79C2312yes—
133C24×D79C2311yescharacteristic
134C24×D79C2318yescomplemented
135C2×#11929624—48no—
136C2×#11929624—44no—
137C2×#11929624C23116yescomplemented
138C2×#11929624C2318yescomplemented
139C22×Dic158C2312yescomplemented
140C22×Dic158C2311yescharacteristic, complemented
141C22×D316C2312yes—
142C22×D316C2312yes—
143C22×D316C2312yes—
144C22×D316C2311yescharacteristic, complemented
145C22×C22⋊D79—48no—
146C22×C22⋊D79—48no—
147C22×C22⋊D79C2312yes—
148C22×C22⋊D79C2312yes—
149C22×C22⋊D79C2312yes—
150C22×C22⋊D79C2312yes—
151C22×C22⋊D79C2312yes—
152C22×C22⋊D79C2312yes—
153C22×C22⋊D79C2312yes—
154C22×C22⋊D79C2312yes—
155C22×C22⋊D79C2312yes—
156C22×C22⋊D79C2312yes—
157C22×C22⋊D79C23116yescomplemented
158C22×C22⋊D79C2312yescomplemented
159C22×C22⋊D79C2312yescomplemented
160C22×C22⋊D79C2312yescomplemented
161C22×C22⋊D79C23116yescomplemented
162C2×D4×D79—48no—
163C2×D4×D79—48no—
164C2×D4×D79—48no—
165C2×D4×D79C23116yescomplemented
166C2×D4×D79C23116yescomplemented
167C2×D4×D79C23116yescomplemented
168C23×Dic79C2312yes—
169C23×Dic79C2312yescomplemented
170C22×C4×D79C2312yes—
171C22×C4×D79C2312yes—
172C22×C4×D79C2312yes—
173C22×C4×D79C2312yescomplemented
174C22×C4×D79C2312yescomplemented
175#14579157C23116yescomplemented
176#14579157C2318yescomplemented
177#14579157C2318yescomplemented
178#14579156C23116yescomplemented
179#14579156C23116yescomplemented
180#14579154C23116yescomplemented
181#14579154C23116yescomplemented
182#14579148C2318yescomplemented
183#14579148C23116yescomplemented
184#14579148C2318yescomplemented
185#14579147C23116yescomplemented
186#14579147C23116yescomplemented
187#14579147C23116yescomplemented
188#14579147C23116yescomplemented
189#14579146C23116yescomplemented
190#14579145C23116yescomplemented
191#14579144C23116yescomplemented
192#14579143C23116yescomplemented
193#14579143C23116yescomplemented
194#14579143C23116yescomplemented
195#14579142C23116yescomplemented
196#14579141C23116yescomplemented
197#14579139C23116yescomplemented
198#14579138C23116yescomplemented
199#14579136C23116yescomplemented
200#14579135C23116yescomplemented
201#14579135C23116yescomplemented
202#14579134C23116yescomplemented
203#14579134C23116yescomplemented
204#14579134C23116yescomplemented
205#14579133C23116yescomplemented
206#14579133C23116yescomplemented
207#14579133C23116yescomplemented
208#14579132C23116yescomplemented
209#14579132C23116yescomplemented
210#14579132C23116yescomplemented
211#14579132C23116yescomplemented
212#14579131C23116yescomplemented
213#14579131C23116yescomplemented
214#14579131C23116yescomplemented
215#14579131C23116yescomplemented
216#14579130C23116yescomplemented
217#14579130C23116yescomplemented
218#14579130C23116yescomplemented
219#14579129C2318yes—
220#14579129C23116yes—
221#14579129C23116yescomplemented
222#14579129C23116yescomplemented
223#14579129C23116yescomplemented
224#14579129C2318yescomplemented
225#14579129C2318yescomplemented
226#14579129C23116yescomplemented
227#14579129C2318yescomplemented
228#14579129C23116yescomplemented
229D4×Dic79C23116yescomplemented
230#14579123C23116yescomplemented
231C4×C22⋊D79C23116yescomplemented
232C4×C22⋊D79C23116yescomplemented
233(C22⋊D79)⋊C4C23116yescomplemented
234(C22⋊D79)⋊C4C23116yescomplemented
235#14579120C2318yescomplemented
236#14579119C23116yescomplemented
237C2×C4⋊Dic79C2312yescomplemented
238C2×C4⋊Dic79C2312yescomplemented
239C2×C4⋊Dic79C2312yescomplemented
240C2×Dic79⋊C4C2312yescomplemented
241C2×Dic79⋊C4C2312yescomplemented
242C2×Dic79⋊C4C2312yescomplemented
243C2×Dic79⋊C4C2312yescomplemented
244C2×C22⋊Dic79C2312yes—
245C2×C22⋊Dic79C2312yes—
246C2×C22⋊Dic79C2312yes—
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2312yes—
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2318yescomplemented
251C2×C22⋊Dic79C2312yescomplemented
252C2×C22⋊Dic79C2312yescomplemented
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)⋊C4C2312yescomplemented
267C2×(C2×D79)⋊C4C2312yescomplemented
268C22⋊C4×D79C23116yescomplemented
269C22⋊C4×D79C23116yescomplemented
270C22⋊C4×D79C23116yescomplemented
271C22⋊C4×D79C23116yescomplemented
272C2×C4×Dic79C2311yescharacteristic, complemented
273C2×C4×Dic79C2312yescomplemented
274C2×C4×Dic79C2311yescharacteristic, complemented
275C2×C4×Dic79C2312yescomplemented
276C25×C79C2311yescharacteristic
277C25×C79C2311yescharacteristic
278C25×C79C2311yescharacteristic, complemented
279C22×D4×C79—44no—
280C22×D4×C79—44no—
281C22×D4×C79C2312yes—
282C22×D4×C79C2312yes—
283C22×D4×C79C2312yes—
284C22×D4×C79C2311yescharacteristic
285C22×D4×C79C2311yescharacteristic
286C22×D4×C79C2311yescharacteristic
287C22×D4×C79C2311yescharacteristic
288C22×D4×C79C2318yescomplemented
289C22×D4×C79C2312yescomplemented
290C22×D4×C79C2318yescomplemented
291C23×C4×C79C2311yescharacteristic
292C23×C4×C79C2312yescomplemented
293C23×C4×C79C2311yescharacteristic, complemented
294#123×C79C2318yescomplemented
295#123×C79C2318yescomplemented
296#123×C79C23116yescomplemented
297#121×C79C23116yescomplemented
298#121×C79C23116yescomplemented
299#120×C79C23116yescomplemented
300#120×C79C2318yescomplemented
301#120×C79C2318yescomplemented
302C2×C4⋊C4×C79C2312yescomplemented
303C2×C4⋊C4×C79C2312yescomplemented
304C2×C22⋊C4×C79C2312yes—
305C2×C22⋊C4×C79C2312yes—
306C2×C22⋊C4×C79C2312yes—
307C2×C22⋊C4×C79C2318yescomplemented
308C2×C22⋊C4×C79C2311yescharacteristic, complemented
309C2×C22⋊C4×C79C2311yescharacteristic, complemented
310C2×C22⋊C4×C79C2312yescomplemented
311C2×C22⋊C4×C79C2312yescomplemented
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—464no—
328C23×D79C2412yes—
329C23×D79C2412yes—
330C23×D79C2414yes—
331C23×D79C2418yes—
332C23×D79C2412yes—
333C23×D79C2418yes—
334C23×D79C2418yes—
335C23×D79C2414yes—
336#11929624—416no—
337#11929624—432no—
338C2×Dic158—44no—
339C2×Dic158—42no—
340C2×Dic158C2418yescomplemented
341C2×Dic158C2414yescomplemented
342C2×D316—28no—
343C2×D316—42no—
344C2×D316—44no—
345C2×D316—44no—
346C2×D316C2418yes—
347C2×D316C2418yes—
348C2×D316C2418yes—
349C2×D316C2414yescomplemented
350C2×C22⋊D79—28no—
351C2×C22⋊D79—28no—
352C2×C22⋊D79—28no—
353C2×C22⋊D79—28no—
354C2×C22⋊D79—432no—
355C2×C22⋊D79—432no—
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⋊D79—44no—
363C2×C22⋊D79—44no—
364C2×C22⋊D79—44no—
365C2×C22⋊D79C2418yes—
366C2×C22⋊D79C2418yes—
367C2×C22⋊D79C2418yes—
368C2×C22⋊D79C2418yes—
369C2×C22⋊D79C2418yes—
370C2×C22⋊D79C2418yes—
371C2×C22⋊D79C2418yes—
372C2×C22⋊D79C2418yes—
373C2×C22⋊D79C2418yes—
374C2×C22⋊D79C2418yes—
375C2×C22⋊D79C2418yescomplemented
376C2×C22⋊D79C2418yescomplemented
377C2×C22⋊D79C2418yescomplemented
378D4×D79—432no—
379D4×D79—432no—
380D4×D79—432no—
381C22×Dic79—44no—
382C22×Dic79—44no—
383C22×Dic79C2412yes—
384C22×Dic79C2412yes—
385C22×Dic79C2412yes—
386C22×Dic79C2412yes—
387C22×Dic79C2412yes—
388C22×Dic79C2418yes—
389C22×Dic79C2418yescomplemented
390C2×C4×D79—28no—
391C2×C4×D79—44no—
392C2×C4×D79—44no—
393C2×C4×D79—44no—
394C2×C4×D79—44no—
395C2×C4×D79C2418yes—
396C2×C4×D79C2418yes—
397C2×C4×D79C2418yes—
398C2×C4×D79C2418yescomplemented
399C2×C4×D79C2418yescomplemented
400C4⋊Dic79C2418yescomplemented
401C4⋊Dic79C2418yescomplemented
402C4⋊Dic79C2418yescomplemented
403Dic79⋊C4C2418yescomplemented
404Dic79⋊C4C2418yescomplemented
405Dic79⋊C4C2418yescomplemented
406Dic79⋊C4C2418yescomplemented
407C22⋊Dic79C2418yes—
408C22⋊Dic79C2418yes—
409C22⋊Dic79C2418yes—
410C22⋊Dic79C2414yes—
411C22⋊Dic79C2418yes—
412C22⋊Dic79C2414yes—
413C22⋊Dic79C2418yescomplemented
414C22⋊Dic79C2418yescomplemented
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
429C4×Dic79C2414yescomplemented
430C4×Dic79C2418yescomplemented
431C4×Dic79C2414yescomplemented
432C4×Dic79C2418yescomplemented
433C24×C79—24no—
434C24×C79—24no—
435C24×C79—44no—
436C24×C79—42no—
437C24×C79—44no—
438C24×C79—44no—
439C24×C79C2411yescharacteristic
440C24×C79C2411yescharacteristic
441C24×C79C2412yes—
442C24×C79C2411yescharacteristic
443C24×C79C2411yescharacteristic
444C24×C79C2411yescharacteristic
445C24×C79C2414yes—
446C24×C79C2414yes—
447C24×C79C2414yescomplemented
448C2×D4×C79—28no—
449C2×D4×C79—42no—
450C2×D4×C79—42no—
451C2×D4×C79—42no—
452C2×D4×C79—42no—
453C2×D4×C79—44no—
454C2×D4×C79—416no—
455C2×D4×C79—44no—
456C2×D4×C79—44no—
457C2×D4×C79—416no—
458C2×D4×C79C2418yes—
459C2×D4×C79C2418yes—
460C2×D4×C79C2418yes—
461C2×D4×C79C2414yes—
462C2×D4×C79C2414yes—
463C2×D4×C79C2414yes—
464C2×D4×C79C2414yes—
465C2×D4×C79C2418yescomplemented
466C22×C4×C79—24no—
467C22×C4×C79—44no—
468C22×C4×C79—42no—
469C22×C4×C79C2412yes—
470C22×C4×C79C2411yescharacteristic
471C22×C4×C79C2414yes—
472C22×C4×C79C2412yes—
473C22×C4×C79C2412yes—
474C22×C4×C79C2411yescharacteristic
475C22×C4×C79C2418yescomplemented
476C22×C4×C79C2414yescomplemented
477C4⋊C4×C79C2418yescomplemented
478C4⋊C4×C79C2418yescomplemented
479C22⋊C4×C79C2418yes—
480C22⋊C4×C79C2418yes—
481C22⋊C4×C79C2418yes—
482C22⋊C4×C79C2414yescomplemented
483C22⋊C4×C79C2414yescomplemented
484C22⋊C4×C79C2418yescomplemented
485C22⋊C4×C79C2418yescomplemented
486C23×C79—24no—
487C23×C79—24no—
488C23×C79—24no—
489C23×C79—24no—
490C23×C79—24no—
491C23×C79—24no—
492C23×C79—24no—
493C23×C79—24no—
494C23×C79—28no—
495C23×C79—22no—
496C23×C79—22no—
497C23×C79—22no—
498C23×C79—22no—
499C23×C79—28no—
500C23×C79—48no—
501C23×C79—48no—
502C23×C79—48no—
503C23×C79—44no—
504C23×C79—416no—
505C23×C79—88no—
506C23×C79—88no—
507C23×C79H(5,𝔽2)14yes—
508C23×C79C2512yes—
509C23×C79C2512yes—
510C23×C79C2514yes—
511C23×C79C2512yes—
512C23×C79C2512yes—
513C23×C79C2512yes—
514C23×C79C2511yescharacteristic
515C22×D79—24no—
516C22×D79—24no—
517C22×D79—24no—
518C22×D79—24no—
519C22×D79—216no—
520C22×D79—24no—
521C22×D79—24no—
522C22×D79—24no—
523C22×D79—24no—
524C22×D79—216no—
525C22×D79—216no—
526C22×D79—216no—
527C22×D79—216no—
528C22×D79—44no—
529C22×D79—48no—
530C22×D79—48no—
531C22×D79—48no—
532C22×D79—48no—
533C22×D79—44no—
534C22×D79—416no—
535C22×D79—48no—
536C22×D79—48no—
537C22×D79—432no—
538C22×D79—432no—
539C22×D79—4128no—
540C22×D79—416no—
541C22×D79—816no—
542C22×D79H(5,𝔽2)18yes—
543C22×D79C2514yes—
544C22×D79C2514yes—
545C22×D79C2514yes—
546D4×C79—216no—
547D4×C79—48no—
548D4×C79—48no—
549D4×C79—44no—
550D4×C79—44no—
551D4×C79—44no—
552D4×C79—44no—
553D4×C79—48no—
554C2×C4×C79—24no—
555C2×C4×C79—22no—
556C2×C4×C79—24no—
557C2×C4×C79—24no—
558C2×C4×C79—22no—
559C2×C4×C79—28no—
560C2×C4×C79—48no—
561C2×C4×C79—44no—
562C2×C4×C79C2512yes—
563C2×C4×C79C2514yes—
564C2×C4×C79C2514yes—
565C2×C4×C79C2512yes—
566C2×C4×C79C2514yes—
567C22⋊D79—216no—
568C22⋊D79—216no—
569C22⋊D79—216no—
570C22⋊D79—216no—
571C22⋊D79—48no—
572C22⋊D79—48no—
573C22⋊D79—48no—
574C22⋊D79—48no—
575C22⋊D79—48no—
576C22⋊D79—48no—
577C22⋊D79—48no—
578C22⋊D79—48no—
579C22⋊D79—48no—
580C2×Dic79—24no—
581C2×Dic79—24no—
582C2×Dic79—24no—
583C2×Dic79—24no—
584C2×Dic79—24no—
585C2×Dic79—48no—
586C2×Dic79—48no—
587C2×Dic79C2514yes—
588C2×Dic79C2514yes—
589C2×Dic79C2514yes—
590C2×Dic79C2514yes—
591C2×Dic79C2514yes—
592D316—216no—
593D316—48no—
594D316—48no—
595D316—44no—
596C4×D79—216no—
597C4×D79—48no—
598C4×D79—48no—
599C4×D79—48no—
600C4×D79—48no—
601Dic158—44no—
602Dic158—48no—
603C22×C79—24no—
604C22×C79—28no—
605C22×C79—24no—
606C22×C79—24no—
607C22×C79—24no—
608C22×C79—24no—
609C22×C79—24no—
610C22×C79—24no—
611C22×C79—24no—
612C22×C79—22no—
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×C79—88no—
624C22×C79C2×H(5,𝔽2)14yes—
625C22×C79C2×H(5,𝔽2)14yes—
626C22×C79C2×H(5,𝔽2)12yes—
627C22×C79C2611yescharacteristic
628C2×D79—24no—
629C2×D79—24no—
630C2×D79—216no—
631C2×D79—24no—
632C2×D79—24no—
633C2×D79—24no—
634C2×D79—24no—
635C2×D79—24no—
636C2×D79—24no—
637C2×D79—416no—
638C2×D79—432no—
639C2×D79—432no—
640C2×D79—416no—
641C2×D79—48no—
642C2×D79—48no—
643C2×D79—816no—
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—792no—
673C2×#551—791no—
674C2×#546—792no—
675C2×#546—792no—
676C2×#546—792no—
677C2×D42—792no—
678C2×D42—791no—
679C2×#538—792no—
680C2×#538—792no—
681C2×#538—792no—
682C2×#535—791no—
683C2×#535—792no—
684C2×#534—792no—
685C2×#534D7911yescharacteristic, complemented
686C22×#120—791no—
687C22×#120—792no—
688C79C2×#353211yescharacteristic, complemented, Sylow
689C26—791no—
690C22×#41—791no—
691C22×#41—792no—
692C23×D4—792no—
693C23×D4—792no—
694C23×D4—792no—
695C23×D4—792no—
696C23×D4—792no—
697C23×D4C2×D7911yescharacteristic, complemented
698C23×D4C2×D7911yescharacteristic, complemented
699H(3,𝔽4)—7916no—
700#560—7916no—
701#560—7932no—
702#551—7932no—
703#551—7916no—
704#546—7932no—
705#546—7932no—
706#546—7932no—
707D42—7932no—
708D42—7916no—
709#538—7932no—
710#538—7932no—
711#538—7932no—
712#535—7916no—
713#535—7932no—
714#534—7932no—
715#534C2×D79116yescomplemented
716C2×#127—791no—
717C2×#127—791no—
718C2×#127—792no—
719C2×#126—792no—
720C2×#126—792no—
721C2×#126—792no—
722C2×#126—792no—
723C2×#124—791no—
724C2×#124—791no—
725C2×#124—792no—
726C2×#124—792no—
727C2×#124—792no—
728C2×#124—792no—
729C2×#124—792no—
730C2×#123—792no—
731C2×#123—792no—
732C2×#123—792no—
733C2×#123—792no—
734C2×#123—792no—
735C2×#123—792no—
736C2×#123—792no—
737C2×#123C2×D7911yescharacteristic, complemented
738C2×#123C2×D7911yescharacteristic, complemented
739C2×#123C2×D7912yescomplemented
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—792no—
763C2×#120—792no—
764C2×#120—792no—
765C2×#120—791no—
766C2×#120—791no—
767C2×#120—791no—
768C2×#120—792no—
769C2×#120—791no—
770C2×#120—7916no—
771C2×#120—792no—
772C2×#120—7932no—
773C2×#120—792no—
774C2×#120—792no—
775C2×#120—792no—
776C2×#120—792no—
777C2×#120C2×D7912yescomplemented
778C2×#120C2×D7911yescharacteristic, complemented
779C2×#120C2×D7911yescharacteristic, complemented
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—791no—
787C2×#117—792no—
788C22×C22⋊C4—791no—
789C22×C22⋊C4—792no—
790C22×C22⋊C4—792no—
791C22×C22⋊C4—792no—
792C22×C22⋊C4—792no—
793C22×C22⋊C4—792no—
794C22×C22⋊C4C2×D7911yescharacteristic, complemented
795C25—3164no—
796C25—3168no—
797C25—791no—
798C25—798no—
799C25—792no—
800C25—792no—
801C25—791no—
802C25—792no—
803C25C22×D7911yescharacteristic
804C25C22×D7911yescharacteristic
805C25C22×D7911yescharacteristic, complemented
806C2×#41—3164no—
807C2×#41—3168no—
808C2×#41—798no—
809C2×#41—7916no—
810C22×Q8—792no—
811C22×Q8—791no—
812C22×D4—44no—
813C22×D4—44no—
814C22×D4—3168no—
815C22×D4—3168no—
816C22×D4—3168no—
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—792no—
826C22×D4—7916no—
827C22×D4—792no—
828C22×D4—792no—
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—791no—
840C22×D4—792no—
841C22×D4C22×D7912yes—
842C22×D4C22×D7911yescharacteristic
843C22×D4C22×D7911yescharacteristic
844C22×D4C22×D7911yescharacteristic
845C22×D4C22×D7911yescharacteristic
846C22×D4C22×D7912yes—
847C22×D4C22×D7912yes—
848C22×D4C22×D7918yescomplemented
849C22×D4C22×D7912yescomplemented
850C22×D4C22×D7918yescomplemented
851C23×C4—792no—
852C23×C4—792no—
853C23×C4—792no—
854C23×C4—792no—
855C23×C4—792no—
856C23×C4—792no—
857C23×C4—792no—
858C23×C4C22×D7911yescharacteristic
859C23×C4C22×D7912yescomplemented
860C23×C4C22×D7911yescharacteristic, complemented
861#127—798no—
862#127—798no—
863#127—7916no—
864#126—7916no—
865#126—7916no—
866#126—7916no—
867#126—7916no—
868#124—798no—
869#124—798no—
870#124—7916no—
871#124—7916no—
872#124—7916no—
873#124—7916no—
874#124—7916no—
875#123—7916no—
876#123—7916no—
877#123—7916no—
878#123—7916no—
879#123—7916no—
880#123—7916no—
881#123—7916no—
882#123C22×D7918yescomplemented
883#123C22×D7918yescomplemented
884#123C22×D79116yescomplemented
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—7916no—
908#120—7916no—
909#120—7916no—
910#120—798no—
911#120—798no—
912#120—798no—
913#120—7916no—
914#120—798no—
915#120—7916no—
916#120—7916no—
917#120—7916no—
918#120—7916no—
919#120—7916no—
920#120C22×D79116yescomplemented
921#120C22×D7918yescomplemented
922#120C22×D7918yescomplemented
923C4×D4—7916no—
924C4×D4—7916no—
925C4×D4—7916no—
926C4×D4—7916no—
927C4×D4—7916no—
928C4×D4—7916no—
929#117—798no—
930#117—7916no—
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⋊C4C22×D7912yescomplemented
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—792no—
948C2×C22⋊C4—792no—
949C2×C22⋊C4—792no—
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—7916no—
962C2×C22⋊C4—792no—
963C2×C22⋊C4—792no—
964C2×C22⋊C4—7916no—
965C2×C22⋊C4—7916no—
966C2×C22⋊C4—7916no—
967C2×C22⋊C4—7916no—
968C2×C22⋊C4C22×D7912yes—
969C2×C22⋊C4C22×D7912yes—
970C2×C22⋊C4C22×D7912yes—
971C2×C22⋊C4C22×D7918yescomplemented
972C2×C22⋊C4C22×D7912yescomplemented
973C2×C22⋊C4C22×D7911yescharacteristic, complemented
974C2×C22⋊C4C22×D7911yescharacteristic, complemented
975C2×C22⋊C4C22×D7912yescomplemented
976C2×C42—791no—
977C2×C42—792no—
978C2×C42—791no—
979C2×C42—792no—
980C24—24no—
981C24—24no—
982C24—44no—
983C24—42no—
984C24—44no—
985C24—44no—
986C24—3164no—
987C24—3164no—
988C24—3164no—
989C24—3162no—
990C24—31616no—
991C24—3164no—
992C24—3162no—
993C24—3164no—
994C24—3164no—
995C24—31664no—
996C24—31632no—
997C24—794no—
998C24—798no—
999C24—798no—
1000C24—794no—
1001C24—798no—
1002C24—792no—
1003C24—792no—
1004C24—792no—
1005C24—1588no—
1006C24—1588no—
1007C24—1588no—
1008C24—1588no—
1009C24—1588no—
1010C24C23×D7911yescharacteristic
1011C24C23×D7911yescharacteristic
1012C24C23×D7912yes—
1013C24C23×D7911yescharacteristic
1014C24C23×D7911yescharacteristic
1015C24C23×D7911yescharacteristic
1016C24C23×D7914yes—
1017C24C23×D7914yes—
1018C24C23×D7914yescomplemented
1019#41—31616no—
1020#41—31632no—
1021C2×Q8—3164no—
1022C2×Q8—3162no—
1023C2×Q8—798no—
1024C2×Q8—794no—
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—416no—
1035C2×D4—3164no—
1036C2×D4—3164no—
1037C2×D4—3162no—
1038C2×D4—31632no—
1039C2×D4—31632no—
1040C2×D4—31632no—
1041C2×D4—31632no—
1042C2×D4—31632no—
1043C2×D4—3164no—
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—794no—
1068C2×D4—798no—
1069C2×D4—1588no—
1070C2×D4—1588no—
1071C2×D4—1588no—
1072C2×D4—1588no—
1073C2×D4—1588no—
1074C2×D4C23×D7918yes—
1075C2×D4C23×D7914yes—
1076C2×D4C23×D7914yes—
1077C2×D4C23×D7914yes—
1078C2×D4C23×D7914yes—
1079C2×D4C23×D7918yes—
1080C2×D4C23×D7918yes—
1081C2×D4C23×D7918yescomplemented
1082C22×C4—24no—
1083C22×C4—42no—
1084C22×C4—44no—
1085C22×C4—3164no—
1086C22×C4—3164no—
1087C22×C4—3164no—
1088C22×C4—3164no—
1089C22×C4—3164no—
1090C22×C4—3164no—
1091C22×C4—798no—
1092C22×C4—798no—
1093C22×C4—798no—
1094C22×C4—798no—
1095C22×C4—798no—
1096C22×C4—798no—
1097C22×C4—792no—
1098C22×C4—792no—
1099C22×C4—792no—
1100C22×C4—792no—
1101C22×C4—792no—
1102C22×C4—798no—
1103C22×C4—1588no—
1104C22×C4C23×D7914yes—
1105C22×C4C23×D7911yescharacteristic
1106C22×C4C23×D7912yes—
1107C22×C4C23×D7912yes—
1108C22×C4C23×D7911yescharacteristic
1109C22×C4C23×D7912yes—
1110C22×C4C23×D7918yescomplemented
1111C22×C4C23×D7914yescomplemented
1112C4⋊C4—798no—
1113C4⋊C4—798no—
1114C4⋊C4—798no—
1115C4⋊C4—798no—
1116C4⋊C4—798no—
1117C4⋊C4—798no—
1118C4⋊C4—798no—
1119C4⋊C4C23×D7918yescomplemented
1120C4⋊C4C23×D7918yescomplemented
1121C22⋊C4—798no—
1122C22⋊C4—794no—
1123C22⋊C4—798no—
1124C22⋊C4—798no—
1125C22⋊C4—798no—
1126C22⋊C4—794no—
1127C22⋊C4—798no—
1128C22⋊C4—798no—
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⋊C4C23×D7918yes—
1144C22⋊C4C23×D7918yes—
1145C22⋊C4C23×D7918yes—
1146C22⋊C4C23×D7918yescomplemented
1147C22⋊C4C23×D7914yescomplemented
1148C22⋊C4C23×D7914yescomplemented
1149C22⋊C4C23×D7918yescomplemented
1150C42—794no—
1151C42—798no—
1152C42—794no—
1153C42—798no—
1154C23—24no—
1155C23—24no—
1156C23—24no—
1157C23—24no—
1158C23—24no—
1159C23—24no—
1160C23—24no—
1161C23—22no—
1162C23—24no—
1163C23—22no—
1164C23—28no—
1165C23—22no—
1166C23—22no—
1167C23—28no—
1168C23—48no—
1169C23—44no—
1170C23—48no—
1171C23—48no—
1172C23—416no—
1173C23—88no—
1174C23—88no—
1175C23—31632no—
1176C23—3168no—
1177C23—3168no—
1178C23—3168no—
1179C23—3164no—
1180C23—3168no—
1181C23—3164no—
1182C23—3168no—
1183C23—3168no—
1184C23—316128no—
1185C23—31616no—
1186C23—31632no—
1187C23—31616no—
1188C23—798no—
1189C23—794no—
1190C23—794no—
1191C23—794no—
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×D7914yes—
1210C23C24×D7912yes—
1211C23C24×D7912yes—
1212C23C24×D7912yes—
1213C23C24×D7911yescharacteristic
1214Q8—3168no—
1215Q8—3164no—
1216D4—216no—
1217D4—44no—
1218D4—44no—
1219D4—44no—
1220D4—44no—
1221D4—48no—
1222D4—48no—
1223D4—48no—
1224D4—3168no—
1225D4—3168no—
1226D4—3164no—
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—44no—
1248C2×C4—48no—
1249C2×C4—3168no—
1250C2×C4—3168no—
1251C2×C4—3168no—
1252C2×C4—3168no—
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×D7912yes—
1267C2×C4C24×D7914yes—
1268C2×C4C24×D7914yes—
1269C2×C4C24×D7912yes—
1270C2×C4C24×D7914yes—
1271C22—28no—
1272C22—24no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—22no—
1280C22—24no—
1281C22—22no—
1282C22—22no—
1283C22—22no—
1284C22—416no—
1285C22—44no—
1286C22—44no—
1287C22—44no—
1288C22—48no—
1289C22—44no—
1290C22—88no—
1291C22—88no—
1292C22—31632no—
1293C22—31616no—
1294C22—31632no—
1295C22—31616no—
1296C22—3168no—
1297C22—3168no—
1298C22—798no—
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—44no—
1328C2—42no—
1329C2—3164no—
1330C2—3164no—
1331C2—1588no—
1332C2#2377755214yesdirect product factor
1333C2C2×H(5,𝔽2)×D7912yes—
1334C2C22×#1457920611yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#534×C79C2
socleC23×C79C25
hypercenterC2×#534D79
hypocenterC79C2×#3532
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#534

Complements

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

NH ≅ G/Ntype
1. #23777552C2direct (N × H)
2. C2×#19099306C2semidirect
3. C2×#19099303C2semidirect
4. C2×#19099301C2semidirect
5. C2×#19099241C2semidirect
6. C2×#19099236C2semidirect
7. C2×#19099210C2semidirect
8. C2×#19099205C2semidirect
9. C2×#19099203C2semidirect
10. C2×D4×C22⋊D79C2semidirect
11. C2×#19099195C2semidirect
12. C2×#19099149C2semidirect
13. C2×#19099148C2semidirect
14. C2×#19099145C2semidirect
15. C2×#19099130C2semidirect
16. C2×#19099129C2semidirect
17. C2×#19099123C2semidirect
18. C22×#14579129C2semidirect
19. C2×#120×D79C2semidirect
20. C2×#534×C79C2semidirect
21. C25×D79C22semidirect
22. C22×#11929624C22semidirect
23. C22×#11929624C22semidirect
24. C23×C22⋊D79C22semidirect
25. C23×C22⋊D79C22semidirect
26. C22×D4×D79C22semidirect
27. C22×D4×D79C22semidirect
28. C22×D4×D79C22semidirect
29. #19099306C22semidirect
30. #19099303C22semidirect
31. #19099301C22semidirect
32. #19099241C22semidirect
33. #19099236C22semidirect
34. #19099210C22semidirect
35. #19099205C22semidirect
36. #19099203C22semidirect
37. D4×C22⋊D79C22semidirect
38. #19099195C22semidirect
39. #19099149C22semidirect
40. #19099148C22semidirect
41. #19099145C22semidirect
42. #19099130C22semidirect
43. #19099129C22semidirect
44. #19099123C22semidirect
45. C2×#14579157C22semidirect
46. C2×#14579157C22semidirect
47. C2×#14579157C22semidirect
48. C2×#14579156C22semidirect
49. C2×#14579156C22semidirect
50. C2×#14579154C22semidirect
51. C2×#14579154C22semidirect
52. C2×#14579148C22semidirect
53. C2×#14579148C22semidirect
54. C2×#14579148C22semidirect
55. C2×#14579147C22semidirect
56. C2×#14579147C22semidirect
57. C2×#14579147C22semidirect
58. C2×#14579147C22semidirect
59. C2×#14579146C22semidirect
60. C2×#14579145C22semidirect
61. C2×#14579144C22semidirect
62. C2×#14579143C22semidirect
63. C2×#14579143C22semidirect
64. C2×#14579143C22semidirect
65. C2×#14579142C22semidirect
66. C2×#14579141C22semidirect
67. C2×#14579139C22semidirect
68. C2×#14579138C22semidirect
69. C2×#14579136C22semidirect
70. C2×#14579135C22semidirect
71. C2×#14579135C22semidirect
72. C2×#14579134C22semidirect
73. C2×#14579134C22semidirect
74. C2×#14579134C22semidirect
75. C2×#14579133C22semidirect
76. C2×#14579133C22semidirect
77. C2×#14579133C22semidirect
78. C2×#14579132C22semidirect
79. C2×#14579132C22semidirect
80. C2×#14579132C22semidirect
81. C2×#14579132C22semidirect
82. C2×#14579131C22semidirect
83. C2×#14579131C22semidirect
84. C2×#14579131C22semidirect
85. C2×#14579131C22semidirect
86. C2×#14579130C22semidirect
87. C2×#14579130C22semidirect
88. C2×#14579130C22semidirect
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×D4×Dic79C22semidirect
102. C2×#14579123C22semidirect
103. C2×C4×C22⋊D79C22semidirect
104. C2×C4×C22⋊D79C22semidirect
105. C2×(C22⋊D79)⋊C4C22semidirect
106. C2×(C22⋊D79)⋊C4C22semidirect
107. C2×#14579120C22semidirect
108. C2×#14579119C22semidirect
109. C22×C22⋊Dic79C22semidirect
110. C22×(C2×D79)⋊C4C22semidirect
111. C2×C22⋊C4×D79C22semidirect
112. C2×C22⋊C4×D79C22semidirect
113. C2×C22⋊C4×D79C22semidirect
114. C2×C22⋊C4×D79C22semidirect
115. C23×D4×C79C22semidirect
116. C23×D4×C79C22semidirect
117. #534×C79C22semidirect
118. C2×#123×C79C22semidirect
119. C2×#123×C79C22semidirect
120. C2×#123×C79C22semidirect
121. C2×#121×C79C22semidirect
122. C2×#121×C79C22semidirect
123. C2×#120×C79C22semidirect
124. C2×#120×C79C22semidirect
125. C2×#120×C79C22semidirect
126. C22×C22⋊C4×C79C22semidirect
134. C24×D79C23semidirect
137. C2×#11929624C23semidirect
138. C2×#11929624C23semidirect
139. C22×Dic158C23semidirect
140. C22×Dic158C23semidirect
144. C22×D316C23semidirect
157. C22×C22⋊D79C23semidirect
158. C22×C22⋊D79C23semidirect
159. C22×C22⋊D79C23semidirect
160. C22×C22⋊D79C23semidirect
161. C22×C22⋊D79C23semidirect
165. C2×D4×D79C23semidirect
166. C2×D4×D79C23semidirect
167. C2×D4×D79C23semidirect
169. C23×Dic79C23semidirect
173. C22×C4×D79C23semidirect
174. C22×C4×D79C23semidirect
175. #14579157C23semidirect
176. #14579157C23semidirect
177. #14579157C23semidirect
178. #14579156C23semidirect
179. #14579156C23semidirect
180. #14579154C23semidirect
181. #14579154C23semidirect
182. #14579148C23semidirect
183. #14579148C23semidirect
184. #14579148C23semidirect
185. #14579147C23semidirect
186. #14579147C23semidirect
187. #14579147C23semidirect
188. #14579147C23semidirect
189. #14579146C23semidirect
190. #14579145C23semidirect
191. #14579144C23semidirect
192. #14579143C23semidirect
193. #14579143C23semidirect
194. #14579143C23semidirect
195. #14579142C23semidirect
196. #14579141C23semidirect
197. #14579139C23semidirect
198. #14579138C23semidirect
199. #14579136C23semidirect
200. #14579135C23semidirect
201. #14579135C23semidirect
202. #14579134C23semidirect
203. #14579134C23semidirect
204. #14579134C23semidirect
205. #14579133C23semidirect
206. #14579133C23semidirect
207. #14579133C23semidirect
208. #14579132C23semidirect
209. #14579132C23semidirect
210. #14579132C23semidirect
211. #14579132C23semidirect
212. #14579131C23semidirect
213. #14579131C23semidirect
214. #14579131C23semidirect
215. #14579131C23semidirect
216. #14579130C23semidirect
217. #14579130C23semidirect
218. #14579130C23semidirect
221. #14579129C23semidirect
222. #14579129C23semidirect
223. #14579129C23semidirect
224. #14579129C23semidirect
225. #14579129C23semidirect
226. #14579129C23semidirect
227. #14579129C23semidirect
228. #14579129C23semidirect
229. D4×Dic79C23semidirect
230. #14579123C23semidirect
231. C4×C22⋊D79C23semidirect
232. C4×C22⋊D79C23semidirect
233. (C22⋊D79)⋊C4C23semidirect
234. (C22⋊D79)⋊C4C23semidirect
235. #14579120C23semidirect
236. #14579119C23semidirect
237. C2×C4⋊Dic79C23semidirect
238. C2×C4⋊Dic79C23semidirect
239. C2×C4⋊Dic79C23semidirect
240. C2×Dic79⋊C4C23semidirect
241. C2×Dic79⋊C4C23semidirect
242. C2×Dic79⋊C4C23semidirect
243. C2×Dic79⋊C4C23semidirect
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. C22⋊C4×D79C23semidirect
269. C22⋊C4×D79C23semidirect
270. C22⋊C4×D79C23semidirect
271. C22⋊C4×D79C23semidirect
272. C2×C4×Dic79C23semidirect
273. C2×C4×Dic79C23semidirect
274. C2×C4×Dic79C23semidirect
275. C2×C4×Dic79C23semidirect
278. C25×C79C23semidirect
288. C22×D4×C79C23semidirect
289. C22×D4×C79C23semidirect
290. C22×D4×C79C23semidirect
292. C23×C4×C79C23semidirect
293. C23×C4×C79C23semidirect
294. #123×C79C23semidirect
295. #123×C79C23semidirect
296. #123×C79C23semidirect
297. #121×C79C23semidirect
298. #121×C79C23semidirect
299. #120×C79C23semidirect
300. #120×C79C23semidirect
301. #120×C79C23semidirect
302. C2×C4⋊C4×C79C23semidirect
303. C2×C4⋊C4×C79C23semidirect
307. C2×C22⋊C4×C79C23semidirect
308. C2×C22⋊C4×C79C23semidirect
309. C2×C22⋊C4×C79C23semidirect
310. C2×C22⋊C4×C79C23semidirect
311. C2×C22⋊C4×C79C23semidirect
340. C2×Dic158C24semidirect
341. C2×Dic158C24semidirect
349. C2×D316C24semidirect
375. C2×C22⋊D79C24semidirect
376. C2×C22⋊D79C24semidirect
377. C2×C22⋊D79C24semidirect
389. C22×Dic79C24semidirect
398. C2×C4×D79C24semidirect
399. C2×C4×D79C24semidirect
400. C4⋊Dic79C24semidirect
401. C4⋊Dic79C24semidirect
402. C4⋊Dic79C24semidirect
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. C4×Dic79C24semidirect
430. C4×Dic79C24semidirect
431. C4×Dic79C24semidirect
432. C4×Dic79C24semidirect
447. C24×C79C24semidirect
465. C2×D4×C79C24semidirect
475. C22×C4×C79C24semidirect
476. C22×C4×C79C24semidirect
477. C4⋊C4×C79C24semidirect
478. C4⋊C4×C79C24semidirect
482. C22⋊C4×C79C24semidirect
483. C22⋊C4×C79C24semidirect
484. C22⋊C4×C79C24semidirect
485. C22⋊C4×C79C24semidirect
662. C2×C79#3532semidirect
685. C2×#534D79semidirect
688. C79C2×#3532semidirect
697. C23×D4C2×D79semidirect
698. C23×D4C2×D79semidirect
715. #534C2×D79semidirect
737. C2×#123C2×D79semidirect
738. C2×#123C2×D79semidirect
739. C2×#123C2×D79semidirect
756. C2×#121C2×D79semidirect
757. C2×#121C2×D79semidirect
777. C2×#120C2×D79semidirect
778. C2×#120C2×D79semidirect
779. C2×#120C2×D79semidirect
794. C22×C22⋊C4C2×D79semidirect
805. C25C22×D79semidirect
848. C22×D4C22×D79semidirect
849. C22×D4C22×D79semidirect
850. C22×D4C22×D79semidirect
859. C23×C4C22×D79semidirect
860. C23×C4C22×D79semidirect
882. #123C22×D79semidirect
883. #123C22×D79semidirect
884. #123C22×D79semidirect
901. #121C22×D79semidirect
902. #121C22×D79semidirect
920. #120C22×D79semidirect
921. #120C22×D79semidirect
922. #120C22×D79semidirect
938. C2×C4⋊C4C22×D79semidirect
939. C2×C4⋊C4C22×D79semidirect
971. C2×C22⋊C4C22×D79semidirect
972. C2×C22⋊C4C22×D79semidirect
973. C2×C22⋊C4C22×D79semidirect
974. C2×C22⋊C4C22×D79semidirect
975. C2×C22⋊C4C22×D79semidirect
1018. C24C23×D79semidirect
1081. C2×D4C23×D79semidirect
1110. C22×C4C23×D79semidirect
1111. C22×C4C23×D79semidirect
1119. C4⋊C4C23×D79semidirect
1120. C4⋊C4C23×D79semidirect
1146. C22⋊C4C23×D79semidirect
1147. C22⋊C4C23×D79semidirect
1148. C22⋊C4C23×D79semidirect
1149. C22⋊C4C23×D79semidirect
1332. C2#23777552direct (N × H)

Maximal subgroups

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

subgroupindex
#237775522
C2×#190993062
C2×#190993032
C2×#190993012
C2×#190992412
C2×#190992362
C2×#190992102
C2×#190992052
C2×#190992032
C2×D4×C22⋊D792
C2×#190991952
C2×#190991492
C2×#190991482
C2×#190991452
C2×#190991302
C2×#190991292
C2×#190991232
C22×#145791292
C2×#120×D792
C2×#534×C792
C2×#353279